diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/-C2pIHe340w_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/-C2pIHe340w_postprocess.srt
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+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/-C2pIHe340w_postprocess.srt
@@ -0,0 +1,1564 @@
+1
+00:00:20,820 --> 00:00:23,060
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:23,060 --> 00:00:26,200
+المرسلين اليوم ان شاء الله بدنا نكمل مطرح موقفنا
+
+3
+00:00:26,200 --> 00:00:30,160
+المحاضرة الماضية كنا بدنا الحكي في simplex method
+
+4
+00:00:30,160 --> 00:00:35,620
+على أساس أنه هي الطريقة الأكتر استخداما لحل ال
+
+5
+00:00:35,620 --> 00:00:40,580
+linear programming problemsوقلنا إنه عشان نبدأ
+
+6
+00:00:40,580 --> 00:00:44,200
+فيها لازم نعمل صياغة لل linear programming problem
+
+7
+00:00:44,200 --> 00:00:48,520
+على شكل standard form ال standard form بيشمل اللي
+
+8
+00:00:48,520 --> 00:00:52,580
+هو ال objective function ومجموعة ال constraint
+
+9
+00:00:52,580 --> 00:00:58,480
+functions okay هاي مثلا هنا هذا لأن مش standard
+
+10
+00:00:58,480 --> 00:01:02,260
+لأنه صح في عندي objective function ومجموعة
+
+11
+00:01:02,260 --> 00:01:06,280
+constraints بس ال constraints مشequalities لازم
+
+12
+00:01:06,280 --> 00:01:10,200
+نحولهم ل equalities صح و عشان نحولهم روحنا حطينا
+
+13
+00:01:10,200 --> 00:01:14,240
+variables ال U و ال V و أدخلنا ال variables أيضا
+
+14
+00:01:14,240 --> 00:01:17,940
+على ال objective function و بعد هيك قولنا شوفنا
+
+15
+00:01:17,940 --> 00:01:24,480
+كيف ال representation تبع المسألة geometrically و
+
+16
+00:01:24,480 --> 00:01:30,400
+ثم أيضا كمان روحنامشي انا كل الكلام هذا شفناه شفنا
+
+17
+00:01:30,400 --> 00:01:34,440
+ال extreme point theorem اللي هي بتنص على ايش على
+
+18
+00:01:34,440 --> 00:01:38,200
+انه ال solution هيبقى واحد من ال extreme points ال
+
+19
+00:01:38,200 --> 00:01:42,200
+extreme points اللي هي اللي هي اطراف ال region
+
+20
+00:01:42,200 --> 00:01:46,920
+اللي هي او ال vertices تبع ال region تمام ماشي
+
+21
+00:01:46,920 --> 00:02:00,680
+لقدام كمان طلعنا علىبنحوّل هذا standard format إلى
+
+22
+00:02:00,680 --> 00:02:08,980
+matrix format ومن هنا نذهب لـ matrix format ومن
+
+23
+00:02:08,980 --> 00:02:13,700
+هنا نذهب لـ matrix format ومن هنا نذهب لـ matrix
+
+24
+00:02:13,700 --> 00:02:13,720
+لـ matrix format ومن هنا نذهب لـ matrix format ومن
+
+25
+00:02:13,720 --> 00:02:13,740
+format ومن هنا نذهب لـ matrix format ومن هنا نذهب
+
+26
+00:02:13,740 --> 00:02:14,100
+هنا نذهب لـ matrix format ومن هنا نذهب لـ matrix
+
+27
+00:02:14,100 --> 00:02:16,580
+format ومن هنا نذهب لـ matrix format ومن هنا نذهب
+
+28
+00:02:16,580 --> 00:02:19,520
+لـ matrix format ومن هنا نذهب لـ matrix format ومن
+
+29
+00:02:19,770 --> 00:02:24,190
+اللي هو الـ constraint functions كل constraint
+
+30
+00:02:24,190 --> 00:02:30,090
+function ال coefficients تبعونها و أيضا في عندي
+
+31
+00:02:30,090 --> 00:02:34,010
+اللي هو ال right hand side تبع ال constraint
+
+32
+00:02:34,010 --> 00:02:38,550
+functions العمود الأخير و ال row الأخير اللي هو ال
+
+33
+00:02:38,550 --> 00:02:43,650
+objective row هو عبارة عن ال coefficients ال
+
+34
+00:02:43,650 --> 00:02:48,390
+coefficients في ال ..في الـ objective function
+
+35
+00:02:48,390 --> 00:02:55,110
+ماعكوا seen طبعا ال zeros ما بتنقسش بتنزل زي ما هي
+
+36
+00:02:55,110 --> 00:03:00,210
+إنما الخمسة بيصير نقص خمسة و التلاتة نقص تلاتة هذه
+
+37
+00:03:00,210 --> 00:03:03,910
+نقطة البداية و نقطة البداية هي عبارة عن actually
+
+38
+00:03:03,910 --> 00:03:08,650
+هي عبارة عن و هي solutionبمعنى ان احنا هنا بنعبر
+
+39
+00:03:08,650 --> 00:03:15,550
+على ال solution هذا 0046 00 يعني X0 Y0 و 4 6 يعني
+
+40
+00:03:15,550 --> 00:03:19,910
+U4 و V6 مش عارف اذا كان ذكرنا هذا الكلام من ورا
+
+41
+00:03:19,910 --> 00:03:24,550
+لفترة ولا لأ بس لو انت جيتي و حطيتي القيم هذه يعني
+
+42
+00:03:24,550 --> 00:03:35,450
+X0 Y0 U4 يساوي 4 و هنا نفس الشيء X0 Y0 00 و V6ساعة
+
+43
+00:03:35,450 --> 00:03:38,890
+و ستة فهذا هو candidate solution ليش candidate
+
+44
+00:03:38,890 --> 00:03:44,990
+solution feasible يعني solution ليش لأنه يحقق ال
+
+45
+00:03:44,990 --> 00:03:52,530
+constraints مظبوط و يحقق ال constraints صح لكن لا
+
+46
+00:03:52,530 --> 00:03:55,910
+يحقق الهدف النهائي .. هل يحقق الهدف النهائي تبقى
+
+47
+00:03:55,910 --> 00:04:00,440
+شهو الهدف النهائي ان هذي تبقى optimumواضح أنه لا
+
+48
+00:04:00,440 --> 00:04:05,560
+يحقق لأنه حاطط X بـ0 وY بـ0 فكله Zero صح؟ وهي ال
+
+49
+00:04:05,560 --> 00:04:08,500
+value النهائي تبع ال objective function هي ال Zero
+
+50
+00:04:08,500 --> 00:04:11,780
+مش معقول يبقى Zero إلا إحنا we don't know maybe
+
+51
+00:04:11,780 --> 00:04:15,780
+مافيش أفضل من ال Zero بس .. بس مبدأيا غالبا مش هي
+
+52
+00:04:15,780 --> 00:04:19,140
+ال Zero بتكونش optimum value المهم هو feasible
+
+53
+00:04:19,140 --> 00:04:23,310
+solution يعني هذه التبلوغ الآنهذا الـ simplex
+
+54
+00:04:23,310 --> 00:04:26,410
+tableau يمثل feasible solution يمثل feasible
+
+55
+00:04:26,410 --> 00:04:32,090
+solution ال values تبع المتغيرات كالتالي الاربعة
+
+56
+00:04:32,090 --> 00:04:38,690
+والستة هي values ل ال U و V ال U و V ال U و V هنا
+
+57
+00:04:38,690 --> 00:04:43,650
+ال U في ال function الأولى في ال constant الأولى
+
+58
+00:04:43,650 --> 00:04:48,170
+ال U موجودة ال coefficient تبعها one و ال V مش
+
+59
+00:04:48,170 --> 00:04:52,820
+موجودة فهذا السطريمثل مين ال constraint الأولاني
+
+60
+00:04:52,820 --> 00:04:57,000
+وهذا الصدر يمثل ال constraint التاني فعندي انا
+
+61
+00:04:57,000 --> 00:05:01,220
+اربعة و ستة ل ال U و الفيه و الباقين الاتنين ال X
+
+62
+00:05:01,220 --> 00:05:05,600
+و Y بيكونوا أصفر من
+
+63
+00:05:05,600 --> 00:05:10,080
+هذا التبلوغ الآن بدنا ننتقل إلى solution آخر من
+
+64
+00:05:10,080 --> 00:05:12,960
+هذا feasible solution بدنا ننتقل إلى solution آخر
+
+65
+00:05:13,740 --> 00:05:18,680
+بدى ايضا كمان نضلها الرسمة اللى هو الـ Geometric
+
+66
+00:05:18,680 --> 00:05:23,500
+Representation لل problem هذه اللى أمامنا اللى هو
+
+67
+00:05:23,500 --> 00:05:28,660
+هي الـ Geometric Representation تذكروا؟ okay كان
+
+68
+00:05:28,660 --> 00:05:38,320
+في عندنا لحظة في هذه اتفقنا على انه هذا الخط يمثل
+
+69
+00:05:38,320 --> 00:05:48,410
+ايش ال X طبعابس هنا الـ Y بيساوي 0 صح؟ وهنا الـ X
+
+70
+00:05:48,410 --> 00:06:01,710
+بيساوي 0 وفي عندي خطين تانيات اللي هو هذا وهذا هذا
+
+71
+00:06:01,710 --> 00:06:08,630
+كل واحد منهم يمثل constraint function مظبوط؟ يعني
+
+72
+00:06:08,630 --> 00:06:18,910
+هذا هيك يمثل X زي 3Y بيساوي 6في x زائد تلاتة y لما
+
+73
+00:06:18,910 --> 00:06:25,510
+انا قعدنا صياغة هذا ال constraint ايش دخلنا؟ دخلنا
+
+74
+00:06:25,510 --> 00:06:31,250
+ال V، مظبوط؟ و التاني اللي هو الخط هذا x زائد y
+
+75
+00:06:31,250 --> 00:06:40,110
+زائد u بساوي أربعة و اللي حطه فوق عشان
+
+76
+00:06:40,110 --> 00:06:52,950
+ال ..الأن هنا الـ U قد إيش بتساوي؟ Zero إيه
+
+77
+00:06:52,950 --> 00:07:00,990
+ده؟ على هذا الخط على هذا الخط لإن هو أصلا .. أصلا
+
+78
+00:07:00,990 --> 00:07:06,230
+هذه ال constraint هي X زائد Y أقل من أو تساوي
+
+79
+00:07:06,230 --> 00:07:09,870
+أربعة فعلى هذا الخط ال Y دايما Zero
+
+80
+00:07:12,720 --> 00:07:17,780
+أسف الخط التاني هذا الـ Y بيساوي 0 والخط هذا الـ V
+
+81
+00:07:17,780 --> 00:07:22,260
+بيساوي 0 يعني هذا الخط هو عبارة عن X زائد ثلاثة وY
+
+82
+00:07:22,260 --> 00:07:26,260
+بيساوي 0 والـ V الـ V كأنه حطيت الـ V بيساوي الـ
+
+83
+00:07:26,260 --> 00:07:30,980
+coefficient Zero فأنا صفرتها عملية أنا صفرتها مش
+
+84
+00:07:30,980 --> 00:07:33,640
+ال coefficient بتاعي هي بيساوي Zero و هنا الـ U
+
+85
+00:07:33,640 --> 00:07:37,080
+بيساوي Zero يعني أنا مقدر أرمز لسطر هذا الخط هذا
+
+86
+00:07:37,080 --> 00:07:40,800
+أنه إيش هذا اللي هو إيش
+
+87
+00:07:43,520 --> 00:07:48,160
+V بيتساوي Zero يعني
+
+88
+00:07:48,160 --> 00:07:52,500
+كافة النقاط X و Y اللي بتكون U عندها و V عندها
+
+89
+00:07:52,500 --> 00:08:01,400
+بتساوي Zero وهذا الخط اللي هو U بتساوي Zero هاي
+
+90
+00:08:01,400 --> 00:08:07,560
+ال .. إيش ال extreme points احنا
+
+91
+00:08:07,560 --> 00:08:14,260
+الآن مقفلين على هذه أو الطبلوها دهيُمثّل هذه الـ
+
+92
+00:08:14,260 --> 00:08:22,660
+Point 00
+
+93
+00:08:22,660 --> 00:08:26,240
+حكينا
+
+94
+00:08:26,240 --> 00:08:31,960
+أيضا أن الـ Simplex method بتنتقل من solution إلى
+
+95
+00:08:31,960 --> 00:08:35,760
+آخر طالما أنه في تحسن في Value تبع الـ Objective
+
+96
+00:08:35,760 --> 00:08:39,200
+functionهي الآن هنا و الـ Value تبقى الـ Objective
+
+97
+00:08:39,200 --> 00:08:43,840
+Function Zero و بنبحث الآن عن أفضل و بتنتقل من
+
+98
+00:08:43,840 --> 00:08:48,520
+واحدة إلى الـ Adjacent مين الـ Adjacent لهذه وهذه
+
+99
+00:08:48,520 --> 00:08:53,240
+و هذه okay يبقى ال method الآن ال simplex method
+
+100
+00:08:53,240 --> 00:09:00,300
+الآن بعد معاملة ده بدا تنتقل إلى واحد من هدولة بدا
+
+101
+00:09:00,300 --> 00:09:04,920
+تختار واحد منهم تنتقل إليها بدا تنتقل إلى واحدة
+
+102
+00:09:04,920 --> 00:09:10,470
+على أساس أنهالواحدة هذه بتعطي object value أفضل
+
+103
+00:09:10,470 --> 00:09:15,350
+object value يعني ال object function بتكون أفضل
+
+104
+00:09:15,350 --> 00:09:22,290
+okay طيب مين المرشح أكتر هذا النقطة ولا هذا النقطة
+
+105
+00:09:25,070 --> 00:09:30,990
+على أي أساس المفترض الـ method تختار، تختار ما بين
+
+106
+00:09:30,990 --> 00:09:34,710
+هذه النقطة و هذه النقطة، على أي أساس؟ على أساس مين
+
+107
+00:09:34,710 --> 00:09:39,930
+منهم هيعطي objective value أكتركيف نعرف؟ هذه الـ
+
+108
+00:09:39,930 --> 00:09:45,730
+Objective Function تلاتة X زائد خمسة Y زائد Zero U
+
+109
+00:09:45,730 --> 00:09:50,410
+زائد Zero V أنا الآن لما أروح على هذه الاتصال بكون
+
+110
+00:09:50,410 --> 00:09:55,850
+اتحركت في من؟ في الـ X direction لما أروح على هذه
+
+111
+00:09:55,850 --> 00:09:58,810
+الاتصال بكون اتحركت في ال Y direction الآن حركة ال
+
+112
+00:09:58,810 --> 00:10:03,550
+Y ولا حركة ال X اللي بتعطيني قيمة أعلى؟ ال Y أنا
+
+113
+00:10:03,550 --> 00:10:05,850
+كل واحد في ال Y بعطيني خمس
+
+114
+00:10:08,490 --> 00:10:14,210
+قيم في النهاية و لا لأ بينما هنا ال X بتعطيني بس
+
+115
+00:10:14,210 --> 00:10:18,630
+تلاتة كل حركة كل قيمة جديدة في ال Y في ال X
+
+116
+00:10:18,630 --> 00:10:24,630
+بتعطيني بتنضرب في تلاتة فحركة ال Y هي اللي بتعظم
+
+117
+00:10:24,630 --> 00:10:28,870
+ال value أكتر هدا الكلام ال algorithm كيف بدها
+
+118
+00:10:28,870 --> 00:10:34,190
+تستكشفه من ال objective Raw ال objective Raw اندي
+
+119
+00:10:34,190 --> 00:10:38,420
+هدولة ال negativesهذه هي الـ coefficients الخاصة
+
+120
+00:10:38,420 --> 00:10:42,120
+بالـ variables هذه التلاتة هي الـ coefficients
+
+121
+00:10:42,120 --> 00:10:44,480
+الخاصة بالـ X و الخمسة هي الـ coefficients الخاصة
+
+122
+00:10:44,480 --> 00:10:46,360
+بالـ Y و الخمسة هي الـ Y و الخمسة هي الـ X و
+
+123
+00:10:46,360 --> 00:10:46,540
+الخمسة هي الـ Y و الخمسة هي الـ X و الخمسة هي الـ
+
+124
+00:10:46,540 --> 00:10:48,740
+Y و الخمسة هي الـ X و الخمسة هي الـ X و الخمسة هي
+
+125
+00:10:48,740 --> 00:10:50,300
+الـ X و الخمسة هي الـ X و الخمسة هي الـ X و الخمسة
+
+126
+00:10:50,300 --> 00:10:52,140
+هي الـ X و الخمسة هي الـ X و الخمسة هي الـ X و
+
+127
+00:10:52,140 --> 00:10:54,640
+الخمسة هي الـ X و الخمسة هي الـ X و الخمسة هي الـ
+
+128
+00:10:54,640 --> 00:10:57,040
+X و الخمسة هي الـ X و الخمسة هي الـ X و الخمسة هي
+
+129
+00:10:57,040 --> 00:11:03,130
+الـ X و الخمسة هي الـ X و الخصح ولا لأ؟ يعني الآن
+
+130
+00:11:03,130 --> 00:11:07,590
+النقطة الجديدة .. النقطة الجديدة هيكون ال Y أحد ال
+
+131
+00:11:07,590 --> 00:11:12,690
+.. إيش؟ الإحداثيات تبعتها طب مين الإحداث التاني؟
+
+132
+00:11:12,690 --> 00:11:18,610
+بدي يكون إما U أو V صح؟ يعني يا إما بضغط .. أه
+
+133
+00:11:18,610 --> 00:11:22,750
+يعني خلي بالك إن هذه النقاط هي تقاطعات تقاطعات ما
+
+134
+00:11:22,750 --> 00:11:31,910
+بين هذا و هذا صح؟ فانا الآنلما اختارنا ال Y لان
+
+135
+00:11:31,910 --> 00:11:37,110
+بدنا نختار من ال V على انها المتغير الآخر المتغير
+
+136
+00:11:37,110 --> 00:11:46,090
+الآخر للنقطة هذه المفروض
+
+137
+00:11:46,090 --> 00:11:53,790
+ان نختار ال V خلاص
+
+138
+00:11:53,790 --> 00:11:59,480
+اختارنا ال Y على اساس انه هيصحيح بقت ال .. ال ..
+
+139
+00:11:59,480 --> 00:12:03,000
+ال most negative في ال entry في ال objective row
+
+140
+00:12:03,000 --> 00:12:07,840
+اللي هان بدنا نقرر هدي و لا هدي طبعا واضح انه بدنا
+
+141
+00:12:07,840 --> 00:12:13,080
+نختار هدي بس علي اساس ال algorithm ايش بتسوي بتحسب
+
+142
+00:12:13,080 --> 00:12:21,250
+ratios سميها theta u و theta vU و V بأسامي الأسطور
+
+143
+00:12:21,250 --> 00:12:24,290
+اللي عندنا هدول الأسطور كل واحد منهم يمثل
+
+144
+00:12:24,290 --> 00:12:27,470
+constraint function لو عندي more constraint
+
+145
+00:12:27,470 --> 00:12:32,250
+functions هبقى عندي more rows okay θ U هي عبارة عن
+
+146
+00:12:32,250 --> 00:12:38,470
+ال value تبع ال right hand side على القيمة هذه
+
+147
+00:12:38,470 --> 00:12:42,790
+اللي هي وين احنا في العمود اللي هو ال objective ال
+
+148
+00:12:42,790 --> 00:12:48,510
+pivot column اللي هو أربعة على واحد
+
+149
+00:12:51,570 --> 00:12:59,730
+θv 6 على 3 صح؟ ال
+
+150
+00:12:59,730 --> 00:13:04,110
+ratio هذا 4 و ال ratio هذا 2 أخد الأكبر ولا أخد
+
+151
+00:13:04,110 --> 00:13:07,130
+الأقل؟
+
+152
+00:13:07,130 --> 00:13:17,320
+بدأ أخد الأقل لسبب مهم جدا و هو أن الأقلالأكثر
+
+153
+00:13:17,320 --> 00:13:22,520
+احتمال يكون برا ال region feasible برا ال region
+
+154
+00:13:22,520 --> 00:13:27,920
+feasible okay هذا الآن هذا الآن الاتنين هي هذا
+
+155
+00:13:27,920 --> 00:13:33,060
+المسافة هذه والاربعة هي المسافة هذه انا الآن هنا و
+
+156
+00:13:33,060 --> 00:13:37,520
+مخير ما بين هذه و لا هذه صح فانا الآن باخد هذه لأن
+
+157
+00:13:37,520 --> 00:13:42,160
+هذه احتمال تكون او هذه مضمون انها تكون inside ال
+
+158
+00:13:42,160 --> 00:13:42,520
+region
+
+159
+00:13:48,060 --> 00:13:54,120
+هأخد الـ Minimum يعني هأخد الـ Raw تبع الـ V ببقى
+
+160
+00:13:54,120 --> 00:13:57,980
+صار عندي هذا ال pivot column وهذا ال pivot ال Raw
+
+161
+00:13:57,980 --> 00:14:03,560
+على أساس
+
+162
+00:14:03,560 --> 00:14:09,900
+هذا الانر على أساس هذول ال two rows column and row
+
+163
+00:14:09,900 --> 00:14:12,740
+بدنا نشكل التبلوه الجديد
+
+164
+00:14:15,800 --> 00:14:19,380
+أول حاجة بدي تغير ال pivot row ال pivot row بدي
+
+165
+00:14:19,380 --> 00:14:27,280
+تغير التقاطع
+
+166
+00:14:27,280 --> 00:14:31,560
+هذا هو التقاطع ال pivot column مع ال pivot row
+
+167
+00:14:31,560 --> 00:14:38,320
+القيمة اللي فيها بنجسم كل ال row عليها ها بدي أقول
+
+168
+00:14:38,320 --> 00:14:43,580
+أنا ال row شرطة إشارة إلى ال pivot rowRow شرطة الـ
+
+169
+00:14:43,580 --> 00:14:48,940
+New يعني ال روه ال pivot روه الجديد ودي ساوي إيش؟
+
+170
+00:14:48,940 --> 00:14:54,440
+بتجسم نفسه عالمين على اتقاطة القيمة اللي في
+
+171
+00:14:54,440 --> 00:14:59,480
+اتقاطها صار واحد على تلاتة تلاتة على تلاتة واحد
+
+172
+00:14:59,480 --> 00:15:05,740
+زرع تلاتة واحد على تلاتة ستة على تلاتة بما في ذلك
+
+173
+00:15:05,740 --> 00:15:10,140
+ال right hand side اتنين هذا الان اللي هو ال new
+
+174
+00:15:10,140 --> 00:15:14,860
+pivot rowOkay خلينا نحطه في ال .. في الكتاب الأول
+
+175
+00:15:14,860 --> 00:15:32,760
+الشديد مين؟
+
+176
+00:15:32,760 --> 00:15:33,760
+خلاص هيك؟
+
+177
+00:15:44,120 --> 00:15:47,240
+هنا RHS يعني الـ Right Hand Side اللي هي الـ B
+
+178
+00:15:47,240 --> 00:15:53,540
+يعني okay الآن بدنا
+
+179
+00:15:53,540 --> 00:15:57,120
+بدنا
+
+180
+00:15:57,120 --> 00:16:02,620
+نعيد نشكل ال raw الأولاني و ال raw ال objective
+
+181
+00:16:02,620 --> 00:16:07,860
+raw أيضا كمان بده يتشكل okay لأن كل واحد من هدولة
+
+182
+00:16:07,860 --> 00:16:17,110
+Raw I بساوي Raw I السامق ناقصالـ C ضرب اللي هو الـ
+
+183
+00:16:17,110 --> 00:16:22,710
+new pivot row الـ C هذه هي عبارة عن التقاطع
+
+184
+00:16:22,710 --> 00:16:27,210
+التقاطع تبع مين؟ أنا بحكي من الآن عن رو I بساوي
+
+185
+00:16:27,210 --> 00:16:32,090
+واحد رو واحد يعني اللي هو هذا ده هي تشكيله ده هي
+
+186
+00:16:32,090 --> 00:16:39,090
+تشكيله بساوي السابق الأصلي يعني نقص C الـ C اللي
+
+187
+00:16:39,090 --> 00:16:42,590
+هي التقاطع ال role اللي بحكي عنه الآن مع ال pivot
+
+188
+00:16:44,990 --> 00:16:51,490
+مع الـ pivot column قدّيش القيمة هنا؟ واحد واحد
+
+189
+00:16:51,490 --> 00:17:08,330
+ضرب مين؟ ضرب مين؟ ال pivot الجديد خلّيني
+
+190
+00:17:08,330 --> 00:17:11,170
+أخدهم واحد ضرب ال pivot الجديد هو ال pivot الجديد
+
+191
+00:17:11,170 --> 00:17:19,670
+زي ما هوالان بدنا نقش نطوح من مين من مين هذا
+
+192
+00:17:19,670 --> 00:17:28,730
+الـ Current ناقص الـ New Pivot واحد ناقص اتنين او
+
+193
+00:17:28,730 --> 00:17:34,170
+تلاتة واحد ناقص تلت او تلتين بعدين واحد ناقص واحد
+
+194
+00:17:34,170 --> 00:17:41,150
+بعدين واحد ناقص بعدين Zero ناقص تلت
+
+195
+00:17:43,530 --> 00:17:55,410
+بعدين اربعة نقص اتنين اتنين نفس
+
+196
+00:17:55,410 --> 00:18:00,650
+الشيء لل pivot row لل
+
+197
+00:18:00,650 --> 00:18:06,930
+objective روايصة وين
+
+198
+00:18:06,930 --> 00:18:08,450
+التقاطع؟ حياته
+
+199
+00:18:12,320 --> 00:18:16,300
+نقص خمسة يبدو انضرب في هذا الكلام اول اشي نقص
+
+200
+00:18:16,300 --> 00:18:22,120
+كامسة تقاطع لتنضرب في مين؟ في ال current خلينا
+
+201
+00:18:22,120 --> 00:18:30,520
+نضربها هي نقص خمسة ع تلاتة لأ لأ لأ اه نقص خمسة ع
+
+202
+00:18:30,520 --> 00:18:38,080
+تلاتة صح نقص خمسة في تلت نقص خمسة في واحد نقص خمسة
+
+203
+00:18:38,080 --> 00:18:40,600
+في zero نقص خمسة في
+
+204
+00:18:43,860 --> 00:18:51,420
+نقص خمسة سالب عشر لأن هذا هو عبارة عن C ضرب لـ New
+
+205
+00:18:51,420 --> 00:18:56,060
+Pivot لنطرحه من مين؟ من Current Pivot من Current
+
+206
+00:18:56,060 --> 00:19:06,140
+Row تلاتة نقص تلاتة ناقص ناقص خمسة ع تلاتة هذه نقص
+
+207
+00:19:06,140 --> 00:19:11,680
+تسعة تلاتة زائد خمسة ع تلاتة مظبوط؟
+
+208
+00:19:14,690 --> 00:19:28,810
+سالب أربع على تلاتة بعدين مين الناقص خمسة كيف
+
+209
+00:19:28,810 --> 00:19:39,810
+هذه الناقص خمسة سواء صفر نطرح من هناك نقسم صفر
+
+210
+00:19:39,810 --> 00:19:42,950
+نطلع
+
+211
+00:19:42,950 --> 00:19:46,810
+عليه هذا المربعاللي هو قيمة الـ Objective Function
+
+212
+00:19:46,810 --> 00:19:54,350
+الجديدة بناء على النقطة الجديدة صح؟
+
+213
+00:19:54,350 --> 00:20:00,030
+عشرة يبقى واضح إنه فيه تحسن، فيه improvement من
+
+214
+00:20:00,030 --> 00:20:07,050
+هنا لهنا، هنا كان صفر، هنا صار عشرة طيب،
+
+215
+00:20:07,050 --> 00:20:15,950
+النقطة هذه إيش هي؟ عبارة عن إيش؟0 2 0 في ال X 2 في
+
+216
+00:20:15,950 --> 00:20:23,510
+ال Y مظبوط okay هي .. هي .. و برضه بالنسبة ل ال U
+
+217
+00:20:23,510 --> 00:20:31,250
+و ال V هي
+
+218
+00:20:31,250 --> 00:20:35,630
+..
+
+219
+00:20:35,630 --> 00:20:40,670
+كده بالنسبة لل V V0
+
+220
+00:20:41,900 --> 00:20:48,880
+والـ U انت
+
+221
+00:20:48,880 --> 00:20:56,680
+الآن عوض هنا اكس
+
+222
+00:20:56,680 --> 00:21:03,760
+زيرو و Y باتنين الـ U جدش بتظهر؟ اتنين صح؟ صح؟
+
+223
+00:21:03,760 --> 00:21:05,220
+يبقى ده ال point ايش؟
+
+224
+00:21:09,840 --> 00:21:15,440
+خلاص هيأتهم هدولة هدولة الاتنين هم عبارة عن y و u
+
+225
+00:21:15,440 --> 00:21:24,300
+okay y و u بص على ال zero زي دي اللي هنا ال zero
+
+226
+00:21:24,300 --> 00:21:30,220
+زي دي بتقولي مين ال variables مين
+
+227
+00:21:30,220 --> 00:21:37,260
+ال variables اللي هيش خليني بس أتأكد منها
+
+228
+00:21:41,200 --> 00:21:49,760
+U وY U وY صح تمام
+
+229
+00:21:49,760 --> 00:21:54,080
+الـ zeros اللي هو بيقولي مين ال variables اللي non
+
+230
+00:21:54,080 --> 00:21:59,660
+-zero اللي هم ال Y و ال U الان الواحد هنا جاي ع
+
+231
+00:21:59,660 --> 00:22:04,700
+جبال ال Y ع جبال ال U و الواحد هنا ع جبال ال Y
+
+232
+00:22:04,700 --> 00:22:11,280
+okay بيقعد اتنين و اتنين اللي هم ال U و ال Yماشي
+
+233
+00:22:11,280 --> 00:22:15,220
+ال U و ال Y و الباقيين هم ال zeros ان ال two
+
+234
+00:22:15,220 --> 00:22:22,120
+variables هيكونوا non-zero و ال two variables
+
+235
+00:22:22,120 --> 00:22:27,020
+هيكونوا zero فانت هذا .. هذا الآن عبارة عن
+
+236
+00:22:27,020 --> 00:22:30,480
+solution صح؟ انا الآن في ال solution هذا انا معنى
+
+237
+00:22:30,480 --> 00:22:35,180
+بس بالمتغيرين هدول ال X و ال Yلأن هدولة قلنا
+
+238
+00:22:35,180 --> 00:22:39,200
+temporary variables عند هذا ال solution أو عند هذه
+
+239
+00:22:39,200 --> 00:22:43,180
+النقطة لو جينا نعوض في ال objective function
+
+240
+00:22:43,180 --> 00:22:49,660
+هنلاقي ايش؟ Zero زائد اتنين في خمسة عشرة وسبع عشر
+
+241
+00:22:49,660 --> 00:22:54,620
+قد قيمة مين؟ قيمة ال objective function سميها الـ
+
+242
+00:22:54,620 --> 00:23:02,120
+Z أو سميها ال F مش خلاف طيب، كويس يبقى الآنبدي
+
+243
+00:23:02,120 --> 00:23:06,760
+أنتقل الان من هذا الى واحد شديد بنستمر في الانتقال
+
+244
+00:23:06,760 --> 00:23:09,900
+طالما ان عندي فيه negatives لما ان هدولة كلهم
+
+245
+00:23:09,900 --> 00:23:13,300
+يصيروا non-negative بوقف وبيكون ال value اللي هنا
+
+246
+00:23:13,300 --> 00:23:17,140
+هو ال optimum value وبيكون ال tableau برضه بيقول
+
+247
+00:23:17,140 --> 00:23:21,560
+لي مين هم ال points مين هم ال points و ال value
+
+248
+00:23:21,560 --> 00:23:26,720
+سبعتهمأكمل كيف أسوي، أعيد مرة تانية، اللي هو أول
+
+249
+00:23:26,720 --> 00:23:31,240
+إشي بدي أحدد الـPivot Column على أساس إيش؟ على
+
+250
+00:23:31,240 --> 00:23:36,400
+أساس الـObjective Row هذا، وين الـMost Negative
+
+251
+00:23:36,400 --> 00:23:42,520
+Entry؟ هنا مافيش نيجاتيف إلا هذه، يبقى خلاص
+
+252
+00:23:42,520 --> 00:23:49,480
+مباشرة، هذه الآن بتصبحية الـPivot هذا بيصبح هو
+
+253
+00:23:49,480 --> 00:23:54,520
+الـPivot Column طيب، مين الـPivot Row؟هذا ولا هذا
+
+254
+00:23:54,520 --> 00:23:58,820
+على أساس ايش؟ بدي أحسن الـ theta أو الـ ratios
+
+255
+00:23:58,820 --> 00:24:09,020
+theta U بساوي 2 على صح؟
+
+256
+00:24:09,020 --> 00:24:16,020
+2 على تلتين يعني 2 ضرب صح؟
+
+257
+00:24:16,020 --> 00:24:21,820
+ويساوي 3 theta Y بساوي 2 على
+
+258
+00:24:25,200 --> 00:24:31,960
+تلت و الساعة و ستة مظبوط؟ مظبوط؟ مين ال minimum؟
+
+259
+00:24:31,960 --> 00:24:38,020
+تلاتة يبقى هذا ال raw هو ال pivot raw مظبوط؟ وهي
+
+260
+00:24:38,020 --> 00:24:47,260
+ال cross بنحسب أول حاجة الآن في التبلو الجديد ايش
+
+261
+00:24:47,260 --> 00:24:50,760
+أول حاجة بنحسبها؟ ال pivot raw الجديد
+
+262
+00:25:09,200 --> 00:25:13,560
+كيف حسبنا الأولانة؟ خدنا هذه القيمة و جسمنا كل الـ
+
+263
+00:25:13,560 --> 00:25:22,900
+Raw عليها اظبط واحد Zero
+
+264
+00:25:22,900 --> 00:25:25,560
+انا باخد ال value و بجسمه على
+
+265
+00:25:40,520 --> 00:25:46,860
+مش متأكد انا
+
+266
+00:25:46,860 --> 00:25:51,900
+نص
+
+267
+00:25:51,900 --> 00:26:00,800
+سالب انا طالع معاه اتنين ليش عيد مرة تانية تلت ضرب
+
+268
+00:26:00,800 --> 00:26:05,780
+تلت على اتنين اه انا جلبتها تلت ضرب اتنين على تلت
+
+269
+00:26:05,780 --> 00:26:14,700
+عملتها اه جلبت لازم اجلبها دههي ساوي سالب نص هذا
+
+270
+00:26:14,700 --> 00:26:30,040
+الأن ايش a new pivot row هبحطه هنا وهذه
+
+271
+00:26:30,040 --> 00:26:36,720
+على صح؟
+
+272
+00:26:42,350 --> 00:26:46,850
+لأن تحسب الـ New Raw الجديد هذا والـ Raw الجديد
+
+273
+00:26:46,850 --> 00:26:54,190
+هذا، صح؟ طيب، بالنسبالي هذا أنا بحكي في ال column
+
+274
+00:26:54,190 --> 00:26:58,790
+ال pivot column تقاطر Raw مع ال column التلت التلت
+
+275
+00:26:58,790 --> 00:27:04,870
+هذا هو الـ C الـ C بدأ تنضرب في مين؟ في ال pivot
+
+276
+00:27:04,870 --> 00:27:20,440
+Raw الجديد، مظبوط؟ هذي تلتهذا يبقى C ضرب CY
+
+277
+00:27:20,440 --> 00:27:26,580
+تلت
+
+278
+00:27:26,580 --> 00:27:38,480
+في واحد بعدين تلت في إيش؟ Zero
+
+279
+00:27:47,270 --> 00:27:57,550
+تلت تلت نضرب
+
+280
+00:27:57,550 --> 00:28:05,250
+هذا في الـ New Pivot تلت في واحد تلت في Zero تلت
+
+281
+00:28:05,250 --> 00:28:05,990
+في تلتين
+
+282
+00:28:08,970 --> 00:28:17,810
+نص صح؟ نصبوت؟ بعدين
+
+283
+00:28:17,810 --> 00:28:25,270
+تلت في إيش؟
+
+284
+00:28:25,270 --> 00:28:35,090
+تلت في صح هيك؟ طيب الآن إيش بنسوي ناخد هذا الكلام
+
+285
+00:28:35,090 --> 00:28:36,130
+نطرحه من مين؟
+
+286
+00:28:40,270 --> 00:28:46,190
+zero واحد تلت
+
+287
+00:28:46,190 --> 00:28:52,190
+ناقص نص ايش
+
+288
+00:28:52,190 --> 00:28:57,350
+بيطلع في
+
+289
+00:28:57,350 --> 00:29:04,770
+غلط هنا احنا
+
+290
+00:29:04,770 --> 00:29:08,590
+هنا لسه zero ناقص نص ب zero
+
+291
+00:29:12,430 --> 00:29:17,990
+أه sorry سالب نص ألان
+
+292
+00:29:17,990 --> 00:29:25,050
+تلت ناقص ثلاثة
+
+293
+00:29:25,050 --> 00:29:32,830
+على ستة واحد على اتنين اتنين
+
+294
+00:29:32,830 --> 00:29:39,970
+ناقص واحد واحد okay
+
+295
+00:29:42,330 --> 00:29:57,250
+Okay الآن بدنا نعمل لهذا الـ Pivot هاي
+
+296
+00:29:57,250 --> 00:30:03,210
+التقاطع نضربه في مين؟ في الـ New Pivot اللي هو هذا
+
+297
+00:30:03,210 --> 00:30:09,830
+مظبوط Where is the New Pivot يا بنات؟ هذا؟ تمام
+
+298
+00:30:09,830 --> 00:30:11,270
+نضرب Ash
+
+299
+00:30:14,110 --> 00:30:19,590
+سالب اربع على تلاتة ضرب ايش الواحد والزيرو تلاتة
+
+300
+00:30:19,590 --> 00:30:26,490
+على اتنين والنقص نص والتلاتة ده بيساوي سالب اربع
+
+301
+00:30:26,490 --> 00:30:40,550
+على تلاتة زيرو سالب اتنين صح؟ صح؟ بعدين زائد اتنين
+
+302
+00:30:40,550 --> 00:30:41,270
+على تلاتة
+
+303
+00:30:43,900 --> 00:30:49,200
+نقص أربعة تلاتة في نص بعدين
+
+304
+00:30:49,200 --> 00:31:01,740
+سالب أربعة لأن هذا سينطرح من الموجود
+
+305
+00:31:01,740 --> 00:31:10,240
+سيصبح Zero Zero موجة
+
+306
+00:31:10,240 --> 00:31:10,660
+باتنين
+
+307
+00:31:14,520 --> 00:31:22,420
+خمس تلات ناقص طولتين تلت تلات يعني واحد اه بعدين
+
+308
+00:31:22,420 --> 00:31:33,620
+عشرة ناقص ناقص اربعة اربعة عاشر okay تمام الان
+
+309
+00:31:33,620 --> 00:31:34,280
+هنا ايش
+
+310
+00:31:56,120 --> 00:31:59,720
+تمام؟ يعني إيش في عندي؟ هدولة ال values ال
+
+311
+00:31:59,720 --> 00:32:09,380
+variables اللي ضلوا okay فهدولة هم ال X ال X و ال
+
+312
+00:32:09,380 --> 00:32:16,660
+Y إيش ال solution اللي عندنا؟ تلاتة واحد و Zero
+
+313
+00:32:16,660 --> 00:32:21,880
+Zero Zero Zero اللي هم ال variables اللي صفرواوعند
+
+314
+00:32:21,880 --> 00:32:27,540
+هذا الـ solution الـ Z أو الـ F بتساوي 14 تأكد
+
+315
+00:32:27,540 --> 00:32:32,960
+منها ايش ال .. ال function تلاتة X زيادة خمسة Y
+
+316
+00:32:32,960 --> 00:32:39,560
+تلاتة في تلاتة بتسعة واحد في خمسة .. في خمسة
+
+317
+00:32:39,560 --> 00:32:46,360
+اربعتاش okay تمام؟
+
+318
+00:32:46,360 --> 00:32:49,780
+اه
+
+319
+00:32:49,780 --> 00:32:49,800
+..
+
+320
+00:32:53,330 --> 00:32:56,730
+طبعا المثال هي دي يعني لما بتتيجي في امتحان بدي
+
+321
+00:32:56,730 --> 00:32:59,950
+اتركيز كتير عشان في كتير mathematical operations
+
+322
+00:32:59,950 --> 00:33:06,850
+بس المهم ال procedure تبقى واضحةيعني ماظنيش يجي في
+
+323
+00:33:06,850 --> 00:33:10,510
+الامتحان اشي فيه متغيرات اكتر و .. و .. و
+
+324
+00:33:10,510 --> 00:33:14,050
+constraint functions اكتر و الا بياخد نص وجهة
+
+325
+00:33:14,050 --> 00:33:17,110
+الامتحان المهمة بجاه ال procedure واضحة ال
+
+326
+00:33:17,110 --> 00:33:21,370
+procedure ببساطة هي تنور عليها مرة تانية انه اول
+
+327
+00:33:21,370 --> 00:33:25,010
+اشي بنعمل initialization، initialization بمعنى ان
+
+328
+00:33:25,010 --> 00:33:30,100
+احنا نصيغالـ Problem يعني بنجرح المسألة و بنحدد
+
+329
+00:33:30,100 --> 00:33:32,160
+إيش هي ال objective function و إيش هم ال
+
+330
+00:33:32,160 --> 00:33:38,620
+constraints بنعبر عنهم بال inequalities بعد ذلك
+
+331
+00:33:38,620 --> 00:33:43,020
+بروح بنحول إلى equalities يعني standard form بعد
+
+332
+00:33:43,020 --> 00:33:47,540
+ذلك بنبدأ .. بنعمل طبلوق .. initial طبلوق اللي هو
+
+333
+00:33:47,540 --> 00:33:53,800
+ال extreme point الأولى لـ 0,0 علشان بعد ذلك ننتقل
+
+334
+00:33:54,450 --> 00:33:59,190
+الان من ال .. من ال .. من ال initial tableau بدنا
+
+335
+00:33:59,190 --> 00:34:05,410
+اول اشي نفحص هل ال objective raw اللي في الآخر كله
+
+336
+00:34:05,410 --> 00:34:08,330
+non-negative اذا كله non-negative يبقى خلاص بجهة
+
+337
+00:34:08,330 --> 00:34:13,430
+احنا عند ال solution تمام؟ عند ال optimal solution
+
+338
+00:34:13,430 --> 00:34:19,270
+اما اذا فيه negativesيبقى بدنا نعمل طابلوش دي اول
+
+339
+00:34:19,270 --> 00:34:24,410
+اشي بدنا ناخد ال most negative نعتبره هو ايش ال
+
+340
+00:34:24,410 --> 00:34:28,830
+column ال
+
+341
+00:34:28,830 --> 00:34:32,930
+column اللي هو ال pivot column بعدك بدنا نحسب ال
+
+342
+00:34:32,930 --> 00:34:37,630
+ratios فتا لكل واحد من الأسطور لكل واحد من الأسطور
+
+343
+00:34:37,630 --> 00:34:43,250
+معادة طبقة نعم لكل واحد من الأسطور اللي بيشكلوا
+
+344
+00:34:43,250 --> 00:34:47,500
+constraint functionsعشان ناخد الـ theta الأقل الـ
+
+345
+00:34:47,500 --> 00:34:52,440
+theta الأقل بتمثل ال pivot row تقاطع ال pivot row
+
+346
+00:34:52,440 --> 00:34:57,820
+مع ال pivot column على أساسه بدي أحسب ال pivot row
+
+347
+00:34:57,820 --> 00:35:04,300
+الجديد و من ال pivot row الجديد بحسب ال other ال
+
+348
+00:35:04,300 --> 00:35:10,660
+other rows وبتشكل عند الطابلة الجديدة وبستمر طالما
+
+349
+00:35:10,660 --> 00:35:15,360
+أنهفي اندي نيجاتيف خلصوا نيجاتيف بيوصلوا لل
+
+350
+00:35:15,360 --> 00:35:21,360
+solution في شغل أخر هو ان ال interest بت ال right
+
+351
+00:35:21,360 --> 00:35:25,900
+hand side لازم تبقى positive إذا فيها إشي negative
+
+352
+00:35:25,900 --> 00:35:29,880
+معناته إيش؟ معناته we don't have a solution ال
+
+353
+00:35:29,880 --> 00:35:34,440
+problem is unbounded يعني زي ما شوفنا بيكون
+
+354
+00:35:34,440 --> 00:35:38,720
+الناحية هذه مفتوحة مش bounded region مش bounded
+
+355
+00:35:38,720 --> 00:35:40,040
+okay
+
+356
+00:35:53,620 --> 00:35:57,520
+طبعا الآن حكاية اللي هو الـ initial feasible
+
+357
+00:35:57,520 --> 00:36:00,360
+solution اللي بنبدأ بيه و بنعمله الطابلون الأول
+
+358
+00:36:00,360 --> 00:36:04,580
+احنا بنقول بنبدأ بال zero بس أحيانا لما نبدأ بال
+
+359
+00:36:04,580 --> 00:36:07,820
+zero تاخد نواجة كتير ع بالمقاصة لل optimal احنا
+
+360
+00:36:07,820 --> 00:36:13,020
+هنا في المثال هذا أخدتنياش من ال zero ل النقطة هذه
+
+361
+00:36:13,020 --> 00:36:17,680
+ثم الأخير هذاهو النقطة هذه يعني انتقلت ال
+
+362
+00:36:17,680 --> 00:36:21,220
+algorithm من هذا ال solution إلى هذا إلى هذا صح؟
+
+363
+00:36:21,220 --> 00:36:24,580
+هذا اللي هو 02 وهذا 31
+
+364
+00:36:29,180 --> 00:36:33,320
+وانتهت بالتلاتة steps لكن عمليا لو انا دايما بدي
+
+365
+00:36:33,320 --> 00:36:36,860
+ابدا من ال zero I never know يمكن ال zero بعيد جدا
+
+366
+00:36:36,860 --> 00:36:42,100
+عن الهدف ف finding ال initial basic solution may
+
+367
+00:36:42,100 --> 00:36:46,460
+pose a problem انه من وين ابدا هدف الحد ذاته okay
+
+368
+00:36:46,460 --> 00:36:52,400
+كذلك في احتمال لسه من ناحية نظرية ان يبقى في
+
+369
+00:36:52,400 --> 00:36:56,240
+cycling انه يتلف ال algorithmماعتقدش هذا هيكون
+
+370
+00:36:56,240 --> 00:37:00,200
+يعني وارد جدا في الأمثلة اللي هنتعامل معاها okay
+
+371
+00:37:00,200 --> 00:37:05,540
+ال typical number of iterations ما بين M and 3M 3M
+
+372
+00:37:05,540 --> 00:37:10,020
+اللي هي إيش ال M اللي هي إيش قلنا عدد ال
+
+373
+00:37:10,020 --> 00:37:18,780
+constraint functions okay خليني
+
+374
+00:37:18,780 --> 00:37:21,300
+بس نطلع عليها ليه ال worst case efficiency worst
+
+375
+00:37:21,300 --> 00:37:26,680
+case يعني احنا الآن لو بدنا نفترض انهأنا بدي أبدأ
+
+376
+00:37:26,680 --> 00:37:29,840
+من هذه، و ألف عليهم هكذا، و في الآخر تطلع لي هذه
+
+377
+00:37:29,840 --> 00:37:33,640
+هي ال optimum، يعني هذا worst case صح؟ أنا هلف
+
+378
+00:37:33,640 --> 00:37:37,020
+عليهم كلهم إلى أن أجد .. هذا exponential ..
+
+379
+00:37:37,020 --> 00:37:40,360
+exponential ال worst case أن أبدأ من initial point
+
+380
+00:37:40,360 --> 00:37:47,650
+بعيدة عن ال optimumفهذا .. لكن طبعا احنا زي ما
+
+381
+00:37:47,650 --> 00:37:52,190
+قلنا ممكن اختيار ال initial point يبقى .. يبقى
+
+382
+00:37:52,190 --> 00:37:56,130
+مناسب وبالتالي مانحن .. مانحن مضطرش انه نلف على كل
+
+383
+00:37:56,130 --> 00:38:02,600
+ال .. نلف على كل اللي هو ال extreme pointsفي مصمم
+
+384
+00:38:02,600 --> 00:38:05,600
+لاحظة أخرى أنه فيه algorithm تاني يعني هذا إلى حين
+
+385
+00:38:05,600 --> 00:38:12,260
+إلى حد قريب لل 84 كانت هي ال method الوحيدة أو
+
+386
+00:38:12,260 --> 00:38:16,040
+أفضل method لمعالجة ال linear programming problem
+
+387
+00:38:16,040 --> 00:38:20,460
+إلى أن عاملة ال algorithm التاني اللي هي تبعت
+
+388
+00:38:20,460 --> 00:38:26,440
+karmarkers algorithm بتستخدم interior points مش بس
+
+389
+00:38:26,440 --> 00:38:35,010
+اللي هو ال extreme pointsخلاص هيك بنكون احنا بدنا
+
+390
+00:38:35,010 --> 00:38:39,130
+نطلع على إيش فيه problems المحاضرة الجاية بنبدأ ان
+
+391
+00:38:39,130 --> 00:38:40,550
+شاء الله في عشرة أعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5a33b5f865d567ec6bb7e830ba0afa0905461ddb
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw.srt
@@ -0,0 +1,1701 @@
+1
+00:00:20,840 --> 00:00:22,800
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:22,800 --> 00:00:27,720
+المرسلين، اليوم إن شاء الله بنات نكمل الحكي في الـ
+
+3
+00:00:27,720 --> 00:00:31,740
+decrease and conquer algorithms، كنا غطينا الـ
+
+4
+00:00:31,740 --> 00:00:34,240
+decrease by a constant و الـ decrease by a constant
+
+5
+00:00:34,240 --> 00:00:37,120
+factor، واليوم إن شاء الله بنطلع على بعض الأمثلة
+
+6
+00:00:37,120 --> 00:00:40,560
+اللي بتصنف  لـ decrease بعض الأمثلة  Problems
+
+7
+00:00:40,560 --> 00:00:43,460
+اللي وصلنا لإنها Variable Size Decrease، يعني الـ
+
+8
+00:00:43,460 --> 00:00:49,380
+Input Size بيتقلص، Decrease يعني ولكن مش بمعدل
+
+9
+00:00:49,380 --> 00:00:54,860
+ثابت أو بكمية ثابتة، إنما في تباين في .. واحنا
+
+10
+00:00:54,860 --> 00:00:57,900
+شوفنا مثال على ذلك اللي هو الـ GCD، هنطلع عليه، نعيد
+
+11
+00:00:57,900 --> 00:01:02,000
+.. نراجع مرة أخرى ونشوف أمثلة أخرى، هنطلع على الـ
+
+12
+00:01:02,000 --> 00:01:05,060
+Euclid's Algorithm for Greatest Common Divisor، الـ
+
+13
+00:01:05,060 --> 00:01:10,160
+GCD، وبعدين هنطلع على الـ Selection Problem وطريقة
+
+14
+00:01:10,160 --> 00:01:13,860
+تحلها بـ Partition Based Algorithm، Partition Based
+
+15
+00:01:13,860 --> 00:01:17,040
+Algorithm، وبعد ذلك هنشوف الـ Interpolation Search
+
+16
+00:01:17,040 --> 00:01:22,040
+والـ Binary Search Tree، البحث في الـ Binary
+
+17
+00:01:22,040 --> 00:01:25,240
+Search Tree ممكن يعتبر على أنه أيضًا Variable Size
+
+18
+00:01:25,240 --> 00:01:29,400
+Decrease، وفي الآخر ما أعتقدش هنظل معاها، نوجّه لـ NIM
+
+19
+00:01:29,400 --> 00:01:35,120
+Like Games، بس هناخد فيها Homework أو يعني هتسوّوها
+
+20
+00:01:35,120 --> 00:01:43,280
+إنتوا بنفسكم، بالنسبة لـ GCD (greatest common divisor)
+
+21
+00:01:43,280 --> 00:01:48,920
+أذكركم أنه لما يكون في عندي مثل مثل مثل مثل مثل
+
+22
+00:01:48,920 --> 00:01:49,800
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+23
+00:01:49,800 --> 00:01:51,100
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+24
+00:01:51,100 --> 00:01:52,520
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+25
+00:01:52,520 --> 00:01:52,940
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+26
+00:01:52,940 --> 00:01:54,780
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+27
+00:01:54,780 --> 00:01:55,860
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+28
+00:01:55,860 --> 00:02:04,920
+مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+29
+00:02:04,920 --> 00:02:14,750
+بنجيب الأربعين والأربعين اللي هو N، وبحط مقابله
+
+30
+00:02:14,750 --> 00:02:20,530
+اللي هو M mod N، M الأصلية mod N الأصلية، ثمانين mod
+
+31
+00:02:20,530 --> 00:02:24,500
+أربعين، 80 mod 44، وبيبقى
+
+32
+00:02:24,500 --> 00:02:29,940
+ستة وتلاتين، لأن يوكليد الـ theorem بتقول إن
+
+33
+00:02:29,940 --> 00:02:35,580
+هذا يساوي هذا، يعني الـ greatest common
+
+34
+00:02:35,580 --> 00:02:38,280
+divisor ما بين هذول الرقمين هو نفسه greatest common
+
+35
+00:02:38,280 --> 00:02:42,400
+divisor ما بين هذول الرقمين، وبالتالي أنا بنكرر الأمر
+
+36
+00:02:42,400 --> 00:02:48,080
+هذا، بنجيب الـ 36 وبناخد الـ mod اللي هو الـ 12
+
+37
+00:02:54,600 --> 00:03:01,140
+وأيضًا بنكرر الأمر، 12 مع 0، 36 mod 12 = 0، وبيبقى
+
+38
+00:03:01,140 --> 00:03:07,380
+0، فـ 0 هي الـ mod تمام، ويساوي أي رقم مع الـ 0 الـ
+
+39
+00:03:07,380 --> 00:03:11,960
+greatest common divisor هو نفس الرقم، تمام، الآن وين
+
+40
+00:03:11,960 --> 00:03:17,480
+الـ variable decrease أو الـ decrease المتفاوتة في
+
+41
+00:03:17,480 --> 00:03:22,880
+الحجم، إن إحنا طبعًا الـ N هو المعيار الأساسي لحجم
+
+42
+00:03:22,880 --> 00:03:27,430
+الـ problem، صح؟ يعني بغض النظر عن الـ M، الـ N لأنه أنا
+
+43
+00:03:27,430 --> 00:03:30,830
+باخد الـ N وبقلصه شوية شوية لحد ما الـ N يصل للـ
+
+44
+00:03:30,830 --> 00:03:37,030
+Zero، التقلصات هذه في الأول اتقلص من 44 لـ 36، الـ 36
+
+45
+00:03:37,030 --> 00:03:40,690
+بالنسبة لـ 44 لا هي نص ولا ثلث، هي عملية أكبر من
+
+46
+00:03:40,690 --> 00:03:45,990
+النص، صح؟ الـ 36 اتقلصت، بعدين الـ 12، الـ 12 ثلث الـ 36
+
+47
+00:03:45,990 --> 00:03:52,450
+فهنا أقل من النص التقلص، وهنا التقلص ثلثين، وهنا 12
+
+48
+00:03:53,280 --> 00:03:57,380
+ما أخدت؟ بالك، فالتقلصات هذه متباينة، فعشان كمان نقول
+
+49
+00:03:57,380 --> 00:04:02,200
+عنها variable size decrease، وهذا المثال يفترض إنه
+
+50
+00:04:02,200 --> 00:04:05,320
+يعني يقرب بشكل كبير المفهوم الـ variable size
+
+51
+00:04:05,320 --> 00:04:09,280
+decrease، الآن المثال الثاني اللي هو selection
+
+52
+00:04:09,280 --> 00:04:13,260
+problem، selection problem، إيش .. إيش المطلوب في الـ
+
+53
+00:04:13,260 --> 00:04:15,780
+selection؟ خلينا معايا وركزوا على البداية، إن أنا
+
+54
+00:04:15,780 --> 00:04:19,800
+بكون في عندي لست، وبدي اختار منها رقم، الرقم هذا
+
+55
+00:04:21,570 --> 00:04:26,350
+غالبًا ما إحنا .. يعني أكثر .. أكثر .. الحياة
+
+56
+00:04:26,350 --> 00:04:28,830
+الأكثر شي عن الـ selection problem إن إحنا لسة
+
+57
+00:04:28,830 --> 00:04:31,790
+بدنا الـ median، الرقم اللي بدنا نختاره هو الـ median
+
+58
+00:04:31,790 --> 00:04:36,210
+شو هو الـ median؟ الـ median مش الـ mean، الـ mean اللي
+
+59
+00:04:36,210 --> 00:04:38,910
+هو الـ average، الـ average يعني مجموع الأرقام على
+
+60
+00:04:38,910 --> 00:04:43,830
+عددهم، الـ median لأ، الـ median إنه ترتيب الوسط ما
+
+61
+00:04:43,830 --> 00:04:48,640
+بينهم، الوسط، يعني إيش لازم نرتبهم وبعدين ناخد الـ
+
+62
+00:04:48,640 --> 00:04:55,060
+answer اللي في النص، فالـ median الـ
+
+63
+00:04:55,060 --> 00:04:59,320
+median هو بالضبط اللي هو n على 2 ceiling، يعني مثلًا
+
+64
+00:04:59,320 --> 00:05:02,560
+دول عددهم قد ايش؟ واحد، اتنين، تلاتة، أربعة، خمسة، ستة، سبعة
+
+65
+00:05:02,560 --> 00:05:07,180
+ثمانية، تسعة، تسعة على اتنين أربعة ونص، تمام، الـ
+
+66
+00:05:07,180 --> 00:05:11,300
+ceiling تبع الأربعة ونص اللي هي next integer، أكبر
+
+67
+00:05:11,300 --> 00:05:14,020
+من هذه القيمة اللي هي الخمسة، تمام، فهنا K بيساوي
+
+68
+00:05:14,020 --> 00:05:20,790
+خمسة، لما أقول أنا بدي أselect العنصر K بيساوي خمسة
+
+69
+00:05:20,790 --> 00:05:24,610
+يعني بدي مين؟ بعد ما نرتبهم، بعد ما نرتبهم هيصيروا
+
+70
+00:05:24,610 --> 00:05:29,270
+كيف؟ واحد، بعدين هتيجي الاتنين، بعدين الأربعة، بعدين
+
+71
+00:05:29,270 --> 00:05:34,250
+السبعة، بعدين الثمانية، بعدين التسعة، والعشرة، إثنا عشر
+
+72
+00:05:34,250 --> 00:05:40,430
+خمسة عشر، من خمسة واحد، اتنين، تلاتة، هذا واحد، اتنين
+
+73
+00:05:40,430 --> 00:05:45,480
+تلاتة، أربعة، خمسة، هذا العنصر، تمام؟ الخمسة هنا ترتيب
+
+74
+00:05:45,480 --> 00:05:49,080
+العنصر، ما بين عناصر، ما تلخبطيش هذا الأمر، ما بين ..
+
+75
+00:05:49,080 --> 00:05:52,460
+ما بينه وما بين الـ index تبعه، إذا إحنا حاطينه في
+
+76
+00:05:52,460 --> 00:05:56,700
+الـ array، يعني ممكن هي الترتيب مش الـ index نفسه، أي نعم
+
+77
+00:05:56,700 --> 00:06:01,240
+لأ، طلع كيف؟ لأ، الـ median هو الرقم، بس أنا بقول هو
+
+78
+00:06:01,240 --> 00:06:06,600
+الرقم اللي ترتيبه خمسة، خمسة هنا إيش هي؟ هي عبارة
+
+79
+00:06:06,600 --> 00:06:12,880
+عن النص، الوسط، يعني اللي هي n على 2 ceiling، تمام
+
+80
+00:06:12,880 --> 00:06:18,240
+فأنا لما بقول لك select من هذه الـ list العنصر K
+
+81
+00:06:18,240 --> 00:06:22,340
+بيساوي خمسة، يعني select الـ median، لو قلت لك select
+
+82
+00:06:22,340 --> 00:06:26,600
+من هذه الـ list العنصر K بيساوي واحد، يعني اعطيني الـ
+
+83
+00:06:26,600 --> 00:06:31,920
+smallest، لو قلت لك اعطيني K بيساوي N، يعني اعطيني الـ
+
+84
+00:06:31,920 --> 00:06:36,840
+largest، مظبوط؟ لو قلت لك اعطيني K بيساوي تلاتة، يعني
+
+85
+00:06:36,840 --> 00:06:42,820
+تالت أصغر عنصر، تالت أصغر عنصر، هذا أول أصغر، هذا ثاني
+
+86
+00:06:42,820 --> 00:06:47,160
+أصغر، هذا تالت أصغر، صح؟ هذه مفهوم الـ selection
+
+87
+00:06:47,160 --> 00:06:54,300
+problem، إنه عندي مجموعة أرقام، مجموعة okay، بدي
+
+88
+00:06:54,300 --> 00:07:01,340
+أختار منهم الوسيط أو الأكبر أو الأصغر أو تالت أكبر
+
+89
+00:07:01,340 --> 00:07:06,320
+أو تالت أصغر زي هيك، okay، هذا الأمر اختيار هذا
+
+90
+00:07:06,320 --> 00:07:11,360
+يشتمل ضمن اللي هو الترتيب، عشان أنا أطلع لك الـ rank
+
+91
+00:07:11,360 --> 00:07:13,600
+اللي هي برضه الـ selection problem، وهي ما يسمى الـ
+
+92
+00:07:13,600 --> 00:07:17,520
+rank problem، الـ rank يعني الرتبة، يعني عشان أنا
+
+93
+00:07:17,520 --> 00:07:21,820
+أجيب لك الحل، بدي أرتبهم في الأول، لأن عملية الترتيب
+
+94
+00:07:21,820 --> 00:07:28,190
+دي مكلفة على الـ array زي هيك، قد ايش هدول؟ قدرهم تسعة، آه
+
+95
+00:07:28,190 --> 00:07:33,250
+تسعة ممكن مش قضية كبيرة، ولكن على أكبر من هيك أو
+
+96
+00:07:33,250 --> 00:07:36,750
+نفترض إن إحنا بدنا نعمل عملية الترتيب، نطلع الـ
+
+97
+00:07:36,750 --> 00:07:40,490
+median ألف مرة، يعني كيف ألف مرة؟ نفترض إن في
+
+98
+00:07:40,490 --> 00:07:47,750
+عندنا إحنا صورة، صورة، مش الصورة، مجموعة pixels، صح؟ في
+
+99
+00:07:47,750 --> 00:07:50,650
+filter اسمه الـ median filter، الـ median filter اسمه
+
+100
+00:07:50,650 --> 00:07:53,740
+median filter، اسم الـ median الـ filter هذا إيش
+
+101
+00:07:53,740 --> 00:07:56,160
+بيسوي؟ بيبقى فيه عندي مثلًا Noise، بيبقى فيه عندي
+
+102
+00:07:56,160 --> 00:07:59,340
+Noise على الصورة، والـ Noise هذا بيبقى .. في أنواع
+
+103
+00:07:59,340 --> 00:08:01,820
+من الـ Noise، في الـ Noise اللي هي الـ White Noise
+
+104
+00:08:01,820 --> 00:08:05,520
+والـ Black Noise، الـ White بيسموها Salt Noise،
+
+105
+00:08:05,520 --> 00:08:08,720
+Salt يعني ملح، والـ Black بيسموها Pepper، وأحيانًا تبقى الـ Noise خليط من الـ White والـ
+
+106
+00:08:08,720 --> 00:08:10,980
+Black،
+
+107
+00:08:10,980 --> 00:08:11,100
+Black،
+
+108
+00:08:14,670 --> 00:08:18,670
+Pepper and Salt Noise، المهم هذا النوع من الـ Noise
+
+109
+00:08:18,670 --> 00:08:22,650
+اللي بيبقى فيه عندي الـ Noise إما Zero أو أبيض أو
+
+110
+00:08:22,650 --> 00:08:27,890
+أسود، أبيض بمعنى 255، وأسود بمعنى .. هذا ممكن
+
+111
+00:08:27,890 --> 00:08:31,310
+إزالته أو تخفيفه بالـ Median Filter، الـ Median
+
+112
+00:08:31,310 --> 00:08:37,350
+Filter إيش بيسوي؟ بيجي على كل Pixel في الـ Image، و
+
+113
+00:08:37,350 --> 00:08:40,930
+إيش بيسوي؟ بيجي على الـ Pixel وبياخد اللي .. الـ 8
+
+114
+00:08:40,930 --> 00:08:46,590
+الـ neighbours اللي حواليها، هي وتسعة عناصر
+
+115
+00:08:47,650 --> 00:08:51,450
+عشان أطلع الـ Median ما بين هدول بدي أرتبهم
+
+116
+00:08:51,450 --> 00:08:55,490
+التسعة وآخد الوسيط، إيش بأخد .. إيش بيكون فيه بحطه
+
+117
+00:08:55,490 --> 00:08:57,950
+بدال الـ .. الـ .. الـ pixel اللي أنا واقف عليها، أنا
+
+118
+00:08:57,950 --> 00:09:03,390
+واقف على هذه مثلًا، قولوا 193 وحواليها كمان ثمانية
+
+119
+00:09:03,390 --> 00:09:08,050
+فهي وياها بنرتبهم واللي بيجي بيصير هو الوسيط
+
+120
+00:09:08,050 --> 00:09:12,650
+بنشيل 193 وبنحط بدالها، هذا إيش فايدته؟ فايدته
+
+121
+00:09:12,650 --> 00:09:15,250
+الكلام هذا إيش فايدته؟ إنه لو هذه الـ pixel هي
+
+122
+00:09:15,250 --> 00:09:22,470
+noise 0 أو 255، هتروح، هكون اتخلصت منها وحطيت بدال
+
+123
+00:09:22,470 --> 00:09:27,950
+إيه؟ Pixel من من؟ من جيرانها، Pixel من جيرانها، أرحم
+
+124
+00:09:27,950 --> 00:09:34,660
+منها ولا لأ، يعني لو بيكون، آه، حسّنت .. حسّنت الصورة
+
+125
+00:09:34,660 --> 00:09:38,180
+بدل ما كانت النقط البيضاء أو السوداء مشوّهة، أجات
+
+126
+00:09:38,180 --> 00:09:41,900
+راحت البيضاء أو السوداء، بس ما رجعتش الأصلية، لأن أنا
+
+127
+00:09:41,900 --> 00:09:44,620
+ما بعرفش إيش الأصلية كانت، بس أجات بدل واحدة من جيرانها
+
+128
+00:09:44,620 --> 00:09:49,440
+اللي هو الأقرب على الأصل، صحيح؟ فبيكون اتخلصت من الـ
+
+129
+00:09:49,440 --> 00:09:53,090
+.. الـ إيش؟ من الـ white and black noise، هذا القمر
+
+130
+00:09:53,090 --> 00:09:56,810
+عشان أنا أعمله بدي أعمله على كل Pixel في الصورة
+
+131
+00:09:56,810 --> 00:10:00,010
+بدي أوقف على كل Pixel، آخد الثمانية اللي حواليها، و
+
+132
+00:10:00,010 --> 00:10:05,550
+معاها هي تسعة، أحسب الـ median، وأكرر الكلام على كل
+
+133
+00:10:05,550 --> 00:10:08,690
+Pixel في الصورة، لو أنا عندي صورة أقول مثلًا
+
+134
+00:10:08,690 --> 00:10:12,070
+أربعمائة وعشرين في أربعمائة وثمانين في تلاتين، و
+
+135
+00:10:12,070 --> 00:10:15,810
+عشرين، اضرب العدد، هاي عدد، ليش هاي الـ problem size
+
+136
+00:10:15,810 --> 00:10:22,370
+تبعك، الـ problem size مش تسعة، تسعة تضرب هذا الكلام
+
+137
+00:10:22,370 --> 00:10:26,670
+تسعة تضرب هذا الكلام مهول، فلو أنا بدي أعمل sorting
+
+138
+00:10:26,670 --> 00:10:32,730
+في كل Pixel، الـ efficiency بتبقى .. فبدنا طريقة
+
+139
+00:10:32,730 --> 00:10:42,930
+ما تعملش sorting، تتجنب وتتجاوز الـ sorting، بنعالجها
+
+140
+00:10:42,930 --> 00:10:49,620
+ممكن نعملها نوع من المعالجة أو نهملهم تمامًا، اللي هو
+
+141
+00:10:49,620 --> 00:10:51,720
+الـ border بنسميه الـ border pixels، هدول لأ، ممكن
+
+142
+00:10:51,720 --> 00:10:57,660
+نهملهم تمامًا، ناخد بس من عند اللي هو السطر الثاني والـ
+
+143
+00:10:57,660 --> 00:11:03,060
+العمود الثاني، okay، فالآن إذا في طريقة إن إحنا
+
+144
+00:11:03,060 --> 00:11:07,680
+نطلع الـ median هذا بدون ترتيب بيبقى أحسن أو يعني
+
+145
+00:11:07,680 --> 00:11:11,240
+بشكل إن الـ complexity تبعته أو الـ time
+
+146
+00:11:11,240 --> 00:11:15,040
+efficiency تبعته أقل من الترتيب، بيبقى ممتاز، وفعلاً
+
+147
+00:11:15,040 --> 00:11:18,260
+في إن اللي هو فعلاً طريقة لذلك، الطريقة هذه بتعتمد
+
+148
+00:11:18,260 --> 00:11:21,730
+على الـ Partitioning، اسمها Partition Based
+
+149
+00:11:21,730 --> 00:11:24,850
+Algorithm، Partition Based Algorithm، بتعتمد على إن
+
+150
+00:11:24,850 --> 00:11:30,610
+أنا الـ list الأصلي اللي عندي هاخده
+
+151
+00:11:30,610 --> 00:11:35,070
+العنصر الأولاني، بغض النظر إيش هيطلع معاه، مين هو
+
+152
+00:11:35,070 --> 00:11:39,290
+آخده وأعتبره كـ pivot، pivot يعني إيش؟ يعني مفصل أو
+
+153
+00:11:39,290 --> 00:11:46,510
+محور، وأجسم الـ .. أجسم الـ list لقسمين، يبقى هو
+
+154
+00:11:46,510 --> 00:11:53,800
+جاي، الـ pivot هذا جاب له اللي أصغر منه وبعده اللي
+
+155
+00:11:53,800 --> 00:11:58,020
+أكبر منه، يعني هذا الـ N لو بتعملها partitioning
+
+156
+00:11:58,020 --> 00:12:01,340
+على أساس الأربعة، الأربعة هي الـ pivot، إيش بدي
+
+157
+00:12:01,340 --> 00:12:05,980
+يطلع؟ بدي يجي الواحد وبدي يجي الاتنين، وبعدين إيش
+
+158
+00:12:05,980 --> 00:12:10,060
+فيه كمان أصغر من الأربعة؟ فشيء، بدي يجي الأربعة، و
+
+159
+00:12:10,060 --> 00:12:13,860
+بعدين الباقين، من عندها السبعة، الثمانية، التسعة،
+
+160
+00:12:13,860 --> 00:12:20,360
+العشرة، الاثنا عشر، إلى الخمسة عشر، عملت partitioning
+
+161
+00:12:20,360 --> 00:12:28,040
+تجزئة، تقسيم لهذه الـ list الأصلية، بحيث إن العنصر
+
+162
+00:12:28,040 --> 00:12:33,840
+الأولاني أجا pivot، pivot ما بين two partitions،
+
+163
+00:12:33,840 --> 00:12:37,940
+partition الأولاني هم العناصر اللي أقل منه، والـ
+
+164
+00:12:37,940 --> 00:12:40,980
+partition الثاني هم العناصر اللي أكبر منه، إيش
+
+165
+00:12:40,980 --> 00:12:43,760
+هستفيد من هذا الكلام؟ هستفيد من هذا الكلام إن okay
+
+166
+00:12:43,760 --> 00:12:49,570
+أنا بدي K بيساوي خمسة، okay، بقيتش بطلع على الـ
+
+167
+00:12:49,570 --> 00:12:55,910
+answer هذا، إيش ترتيبه في الـ list؟ في الـ array؟ اتنين
+
+168
+00:12:55,910 --> 00:13:01,930
+كويس، الـ zero هذا في الـ array واحد، اتنين، اتنين هذا
+
+169
+00:13:01,930 --> 00:13:06,710
+بدنا نسميه S، S يعني الـ pointer اللي يشير إلى الـ
+
+170
+00:13:06,710
+
+223
+00:17:48,320 --> 00:17:53,920
+أكثر منها، أيش الآن سؤالك؟ أنا ما رتبت، أنا هذا...
+
+224
+00:17:53,920 --> 00:17:58,940
+هذا له... هه، أنا آسف، أنزلهم بنفس ترتيبهم في ال...
+
+225
+00:17:58,940 --> 00:18:03,520
+اللي هو العشرة، كويس ملاحظتك، والتسعة، والسبعة،
+
+226
+00:18:03,520 --> 00:18:10,500
+والاثنا عشر، والثمانية، والخمستعشر، تمام؟ الاثنين،
+
+227
+00:18:10,500 --> 00:18:15,480
+والواحد، أترحل ورا، وهدول فضلوا بعد،
+
+228
+00:18:19,410 --> 00:18:23,830
+بالظبط، مش اللي بديها، مش اللي بديها، الـ pivot أخدت،
+
+229
+00:18:23,830 --> 00:18:29,170
+الـ pivot وقارنته مع الباقين، أي واحد أكبر منه بيجي،
+
+230
+00:18:29,170 --> 00:18:37,450
+ورا، الآن مرة أخرى بقول بما أن الـ pivot هذا أكبر في،
+
+231
+00:18:37,450 --> 00:18:43,470
+موضوع، موضوع، لا يساوي، كـ نقص واحد، ليه؟ مش هو اللي أنا،
+
+232
+00:18:43,470 --> 00:18:48,320
+بدي إياه، اللي بدي إياه موجود في مين؟ في اللي بعده، بأخذ،
+
+233
+00:18:48,320 --> 00:18:52,880
+اللي بعده، لأن بأخذ اللي بعده، أيش بسوي فيهم؟ نفس،
+
+234
+00:18:52,880 --> 00:18:56,580
+الشيء، صار لأن عندي الـ list الجديدة تبعتي: عشرة، تسعة،
+
+235
+00:18:56,580 --> 00:19:01,740
+سبعة، اثنا عشر، ثمانية، خمسة عشر، الآن، هاخدهم برضه بنفس،
+
+236
+00:19:01,740 --> 00:19:07,240
+الطريقة، هذا لأن يصير الـ pivot أجيب،
+
+237
+00:19:07,240 --> 00:19:14,200
+اللي جابله، اللي أصغر منه، جابله، لأ،
+
+238
+00:19:14,200 --> 00:19:14,920
+والسبعة كمان،
+
+239
+00:19:23,210 --> 00:19:27,010
+تمام؟ وأعيد العملية مرة أخرى حتى ما يتحقق هذا،
+
+240
+00:19:27,010 --> 00:19:34,350
+الشرط، خلّيني،
+
+241
+00:19:34,350 --> 00:19:43,810
+أطلع عليها بشكل موضح هنا في الـ slide، هذه، أوضح الشاشة،
+
+242
+00:19:53,010 --> 00:19:56,890
+بدأ أول شيء تنتبه أنه الـ algorithm شقين، الشق الأول،
+
+243
+00:19:56,890 --> 00:20:00,430
+اللي هو عملية الـ partitioning، والشق الثاني اللي هو،
+
+244
+00:20:00,430 --> 00:20:05,950
+عملية المقارنة، الـ K نقص واحد مع الـ S، إذا كانت،
+
+245
+00:20:05,950 --> 00:20:11,130
+المقارنة إذا بتساوي خلاص بننهي، إذا لا تتساوي،
+
+246
+00:20:11,130 --> 00:20:15,670
+بنطلعهم أكبر أو أصغر وبنكرر، Okay، فالشق الأول اللي،
+
+247
+00:20:15,670 --> 00:20:19,250
+هو الـ partitioning، هذا الآن بوضح الـ partitioning،
+
+248
+00:20:19,250 --> 00:20:25,010
+إيش اللي بيحصل؟ هاي الـ list الأصلية: 4, 1, 10, 8, 7, 12, 9،
+
+249
+00:20:25,010 --> 00:20:28,650
+في الـ iteration الأولى، لأن في عندي pointer الـ S،
+
+250
+00:20:28,650 --> 00:20:32,790
+بيقشر على البداية، وفي عندي pointer الـ I اللي بيلف على،
+
+251
+00:20:32,790 --> 00:20:40,130
+العناصر، تمام، لما بيجيء على عنصر في الـ I أصغر من الـ،
+
+252
+00:20:40,130 --> 00:20:46,220
+pivot، لأن في عندي أنا الـ P بيده تساوي اللي هو A0،
+
+253
+00:20:46,220 --> 00:20:51,760
+اللي هو A4، إذا وأنا في الـ I، وأنا موجه في الـ I، وجئت،
+
+254
+00:20:51,760 --> 00:20:58,000
+على عنصر أقل من الـ، why أقل من الـ pivot، بدي أجيب الـ،
+
+255
+00:20:58,000 --> 00:21:03,000
+S يشاور على هذا العنصر،
+
+256
+00:21:03,000 --> 00:21:06,780
+تمام؟
+
+257
+00:21:06,780 --> 00:21:15,700
+وطبعا أقدم الـ I، يكمل... يكمل... يكمل... يكمل...
+
+258
+00:21:15,700 --> 00:21:23,640
+يكمل،
+
+259
+00:21:23,640 --> 00:21:23,800
+... يكمل... يكمل... يكمل... يكمل... يكمل... يكمل...
+
+260
+00:21:23,800 --> 00:21:23,820
+يكمل... يكمل... يكمل... يكمل... يكمل... يكمل...
+
+261
+00:21:23,820 --> 00:21:23,880
+يكمل... يكمل... يكمل... يكمل... يكمل... يكمل...
+
+262
+00:21:23,880 --> 00:21:23,940
+يكمل... يكمل... يكمل... يكمل... يكمل... يكمل...
+
+263
+00:21:23,940 --> 00:21:24,020
+يكمل... يكمل... يكمل... يكمل... يكمل... يكمل...
+
+264
+00:21:24,020 --> 00:21:34,640
+يكمل... يكمل... يكمل...
+
+265
+00:21:36,370 --> 00:21:42,110
+بدّي للـ S زائد واحد، اللي هي العشرة، محل الـ I، صح؟
+
+266
+00:21:42,110 --> 00:21:47,510
+أجئت العشرة هنا محل الاثنين، والاثنين أجئت هنا، صح؟
+
+267
+00:21:47,510 --> 00:21:51,770
+فهو هيستمر بعد ذلك، هيكمل الـ I على الخمستعشر، خلاص،
+
+268
+00:21:51,770 --> 00:21:56,230
+الخمستعشر أخر واحدة، وصل لأخر واحدة، لما نكون وصلنا،
+
+269
+00:21:56,230 --> 00:22:01,150
+هنا، إيش الوضع؟ اللي هندي الـ pivot لسه ما جابش مكانه، بس،
+
+270
+00:22:01,150 --> 00:22:06,890
+إيش عملياً؟ العناصر الصغيرة بتترسب للخلف، للبداية، بقى،
+
+271
+00:22:06,890 --> 00:22:10,150
+الأخر شيء، بعد ما خلصنا و رصّينا كل ما يمكن،
+
+272
+00:22:10,150 --> 00:22:15,870
+receive، ورجعناه لورا، الآن بدنا إيش نسوي؟ بدنا،
+
+273
+00:22:15,870 --> 00:22:19,950
+نجيب الـ pivot في مكان الـ S، لأن الـ S هذه هي الـ،
+
+274
+00:22:19,950 --> 00:22:23,530
+segmentation location، هي منطقة الفصل ما بين الـ two،
+
+275
+00:22:23,530 --> 00:22:27,150
+partitions، الـ pivot بيجيء على هذه المنطقة، أجهة،
+
+276
+00:22:27,150 --> 00:22:31,950
+الأربعة، طبعاً، أجهة الأربعة، لأنه عملنا swap ما بين،
+
+277
+00:22:31,950 --> 00:22:38,070
+الاثنين والأربعة، آه، تيجي الأربعة، وبأرجع الاثنين، أنا،
+
+278
+00:22:38,070 --> 00:22:41,450
+مش معنى بأنه هدول يبقوا مرتبين هنا، الاثنين جاي جبل،
+
+279
+00:22:41,450 --> 00:22:43,730
+والواحد، مش معنى، وهدول كذلك، مش معنى إنهم يبقوا،
+
+280
+00:22:43,730 --> 00:22:48,510
+مرتبين، ففكرة الـ partitioning هي هيك، أنه هاي الـ،
+
+281
+00:22:48,510 --> 00:22:53,310
+algorithm، ولا، فكرة الـ partitioning، أنه احنا،
+
+282
+00:22:53,310 --> 00:22:56,350
+بنحط،
+
+283
+00:22:56,350 --> 00:23:01,450
+هنا مكانه، بنمرّ على الباقين، أي واحد أصغر منه بنرجعه،
+
+284
+00:23:01,450 --> 00:23:07,540
+لورا، برجع، برجع، لما نخلص، نفعل من كلهم، بعد كده نرجعه،
+
+285
+00:23:07,540 --> 00:23:14,740
+من مكانه إلى مكان آخر واحد فيهم في الصغار، وانتهت،
+
+286
+00:23:14,740 --> 00:23:17,960
+القصة، الآن هذا الـ output تبعي، هذا هو الـ output،
+
+287
+00:23:17,960 --> 00:23:24,700
+تبع عملية الـ partitioning، هذا الآن الـ output، لأ،
+
+288
+00:23:24,700 --> 00:23:30,840
+عملياً عملية الـ partitioning، أنا معني بس بالـ S، مش،
+
+289
+00:23:30,840 --> 00:23:34,920
+هي الـ S بتشاور هنا، أنا معني بهذا الموضوع، بضطر على،
+
+290
+00:23:34,920 --> 00:23:38,800
+الموضوع، على الـ S نفسها، مش على اللي فيها، على الـ S،
+
+291
+00:23:38,800 --> 00:23:44,000
+نفسها، اللي هي الاثنين، هل... آسف، اللي هي، نعم، هي،
+
+292
+00:23:44,000 --> 00:23:50,060
+بس اثنين، يعني الـ index اثنين، هل الاثنين هذه، هل،
+
+293
+00:23:50,060 --> 00:23:56,110
+الـ S، يعني، تساوي K ناقص واحد، K هذا هو الـ value،
+
+294
+00:23:56,110 --> 00:23:59,150
+المعطى، معطى إلى الـ algorithm كـ input، أنه احنا الـ،
+
+295
+00:23:59,150 --> 00:24:04,390
+algorithm، بدي إياه يطلع لي،
+
+296
+00:24:04,390 --> 00:24:11,470
+الـ rank خمسة، العنصر رقم خمسة، الترتيب،
+
+297
+00:24:11,470 --> 00:24:14,850
+الخمسة، في الترتيب التصاعدي، الخمسة في الترتيب،
+
+298
+00:24:14,850 --> 00:24:19,150
+التصاعدي، لو قلنا لك K بيساوي واحد، معناته الأول في،
+
+299
+00:24:19,150 --> 00:24:22,750
+الترتيب، الصغير، يعني الأصغر، K بيساوي N، واضحة؟ فإذا،
+
+300
+00:24:22,750 --> 00:24:28,630
+هذا متحقق، إذا S متحقق، لأ، مش متحقق، عندي اثنين، وهنا،
+
+301
+00:24:28,630 --> 00:24:32,710
+K ناقص واحد بيساوي أربعة، مش متحقق، بروح بكرر،
+
+302
+00:24:32,710 --> 00:24:39,570
+العملية على مين؟ على الباقين، بأخذهم، okay، بس بدك،
+
+303
+00:24:39,570 --> 00:24:44,570
+تنتبهي لشيء آخر، اللي هي أنه أنا الـ L، في عندي،
+
+304
+00:24:44,570 --> 00:24:45,390
+حاجة اسمها الـ L،
+
+305
+00:24:49,980 --> 00:24:57,160
+للـ left، والـ right، الـ left تشير إلى أول عنصر في،
+
+306
+00:24:57,160 --> 00:25:01,200
+الـ list، والـ R تشير إلى آخر عنصر، الـ L في البداية،
+
+307
+00:25:01,200 --> 00:25:05,280
+بيساوي صفر، والـ R بيساوي ثمانية، اللي هو N نقص،
+
+308
+00:25:05,280 --> 00:25:12,240
+واحد، لما أنا أصل هنا وألاقي أن الشرط هذا مش متحقق،
+
+309
+00:25:12,240 --> 00:25:16,020
+وأأخذ الشق هذا وأشتغل عليه في الـ iteration اللي،
+
+310
+00:25:16,020 --> 00:25:23,530
+بيجي، الـ L بتصير إيش؟ يصير هذا، الارض،
+
+311
+00:25:23,530 --> 00:25:33,210
+يظل زي ما هو، خلّيني،
+
+312
+00:25:33,210 --> 00:25:37,130
+نطلع على الـ algorithm، two algorithms، بنطلع على،
+
+313
+00:25:37,130 --> 00:25:39,850
+الأولى اللي هي تبع الـ partitioning لحاله، والثاني،
+
+314
+00:25:39,850 --> 00:25:45,130
+اللي هي بتستدعي الأولى، بتستدعي الـ partitioning،
+
+315
+00:25:45,130 --> 00:25:48,090
+ونروح فوق،
+
+316
+00:26:14,600 --> 00:26:18,560
+Hi, Okay، والثاني اللي هي الـ quick،
+
+317
+00:26:22,460 --> 00:26:29,340
+Select، Quick Select، بتستدعي الـ Lomuto، جلبتهم أنا،
+
+318
+00:26:29,340 --> 00:26:34,800
+هدول، Lomuto،
+
+319
+00:26:34,800 --> 00:26:40,380
+تمام، هذه تبع الـ partitioning فقط، فهي بدأت تأخذ الـ،
+
+320
+00:26:40,380 --> 00:26:46,320
+array، a sub array، defined،
+
+321
+00:26:46,320 --> 00:26:50,350
+by its left and right indices، L أو R، الـ output،
+
+322
+00:26:50,350 --> 00:26:53,210
+بتعطيني partition، بتعطيني نفس الـ array، بس،
+
+323
+00:26:53,210 --> 00:26:57,270
+partitioned، والـ position تبع مين؟ الـ pivot، اللي هو،
+
+324
+00:26:57,270 --> 00:27:02,550
+الـ S، الـ S هي الـ position تبعت الـ pivot، فأول شيء،
+
+325
+00:27:02,550 --> 00:27:10,710
+بتأخذ، خلينا ناخذ العناصر نفسهم، عشان نتبعها، حد،
+
+326
+00:27:10,710 --> 00:27:18,570
+يتذكرهم، هيتهم: الأربعة، الواحد، العشرة، الثمانية، السبعة،
+
+327
+00:27:19,220 --> 00:27:35,480
+12، 9، 2، 15، okay، فمبدأياً الـ algorithm بدها في،
+
+328
+00:27:35,480 --> 00:27:37,960
+أول خطوة، اللي هو الـ P، اللي هو الـ pivot، بيساوي،
+
+329
+00:27:37,960 --> 00:27:44,710
+العنصر المشير إليه بـ L، اللي هو أول واحد، صح؟ وهذا الـ،
+
+330
+00:27:44,710 --> 00:27:51,070
+value يبقى ثابت، مش هيتغير، هلف عليهم كلهم، وهو هو،
+
+331
+00:27:51,070 --> 00:27:55,750
+الـ P، بيساوي أربعة، مظبوط؟ على كده، ده الـ، الـ، هذه بقى،
+
+332
+00:27:55,750 --> 00:28:00,210
+مش واحد، ده الـ، الـ، هذه الـ واحد، لأن I، في عندي I، لأ،
+
+333
+00:28:00,210 --> 00:28:07,350
+جاب الـ S، بشور على مين؟ على هو هذا الـ، أصلاً، صح؟
+
+334
+00:28:07,350 --> 00:28:12,710
+وهذا R، S،
+
+335
+00:28:13,520 --> 00:28:22,600
+بيساوي L، الـ I بيبدأ من عند L زائد واحد، هاي الـ I، L،
+
+336
+00:28:22,600 --> 00:28:26,080
+زائد واحد، صح؟ بياخد العناصر كلهم بعد الـ pivot، و،
+
+337
+00:28:26,080 --> 00:28:32,760
+يلف عليهم لغاية الـ R، إيش بده يتطلع؟ هل العنصر اللي،
+
+338
+00:28:32,760 --> 00:28:39,600
+أنا واجه عليه أصغر من الـ P؟ إذا أصغر، إيش بيسوي؟
+
+339
+00:28:39,600 --> 00:28:45,550
+إذا أصغر، بيعمل حاجتين، الأولى أنه بيحرك الـ S، الحين،
+
+340
+00:28:45,550 --> 00:28:51,590
+أصغر، صح؟ الواحد أصغر من الأربعة، مظبوط؟ بيحرك الـ S،
+
+341
+00:28:51,590 --> 00:28:55,750
+بيصير يشاور على مين؟ على S زائد واحد، بيقدمها...
+
+342
+00:28:55,750 --> 00:29:01,290
+بيقدمها خطوة واحدة، بعدين بيعمل swap ما بين الـ S، و،
+
+343
+00:29:01,290 --> 00:29:05,890
+الـ I، لأن هنا إيش عامل swap ما بين هد وهد؟ هم و،
+
+344
+00:29:05,890 --> 00:29:09,550
+نفسهم، اللي عاملوا الصورة، فعملياً الـ swap هذه مش،
+
+345
+00:29:09,550 --> 00:29:13,620
+هيتغير أي حاجة، بس قدام كمان شوية، حين ما نيجي نحرك،
+
+346
+00:29:13,620 --> 00:29:21,680
+الاثنين، بتغير، okay، عشان الـ N هو في البداية جاي،
+
+347
+00:29:21,680 --> 00:29:26,580
+صدفة أن هذا أول عنصر بعد الأربعة، قدام هنشوف أن،
+
+348
+00:29:26,580 --> 00:29:31,620
+هذه العملية، swap، A، اسمع، AI، هم نفسهم الـ I والـ S،
+
+349
+00:29:31,620 --> 00:29:36,420
+نفس العنصر، فإذا swap مش هيغير حاجة، طيب إيش هسوي،
+
+350
+00:29:36,420 --> 00:29:38,300
+بعد هيك، بتدرج،
+
+351
+00:29:41,880 --> 00:29:46,680
+على الـ Next I، أقدم الـ I، الحين هي برا اللوب،
+
+352
+00:29:46,680 --> 00:29:55,220
+صح؟ الـ Next I، عشرة، بأقارنها بمين؟ AI، بأقارنها بالـ P،
+
+353
+00:29:55,220 --> 00:30:01,700
+لأ، مش أصغر، بسويش ولا حاجة، صح؟ برجع ثاني، الـ Next I،
+
+354
+00:30:01,700 --> 00:30:10,610
+تمام؟ برضه، برضه، أك... مش أصغر، برضه مش أصغر، برضه مش،
+
+355
+00:30:10,610 --> 00:30:15,050
+أصغر، صح؟ لغاية الاثنين، الآن الاثنين هذه، الـ S لسه،
+
+356
+00:30:15,050 --> 00:30:19,010
+جاي، ما اتحركتش، لغاية الاثنين، الاثنين، آه، والله أصغر،
+
+357
+00:30:19,010 --> 00:30:26,310
+يبقى، لأن إيش بسوي؟ بقدم الـ S بس خطوة واحدة، وبعمل،
+
+358
+00:30:26,310 --> 00:30:32,970
+swap الآن، بين العشرة والاثنين، صح؟
+
+359
+00:30:33,690 --> 00:30:36,810
+الآن هذه الـ swap، هي عملية الترسيب اللي أنا، طوا،
+
+360
+00:30:36,810 --> 00:30:43,470
+حكيت، بنرسب من الصغار لورا، وبنكمل الـ I، الـ I الآن،
+
+361
+00:30:43,470 --> 00:30:52,210
+بتستمر لغاية R، for I، L زي 1، and R، وصلت لهنا، دخلت،
+
+362
+00:30:52,210 --> 00:30:58,270
+دخلت، قارنت، أكبر، ما عملتش ولا حاجة، أطلع، هنا لما بنطلع،
+
+363
+00:30:58,270 --> 00:31:04,220
+من الـ loop، بيجيء دور الـ swap هذه، اللي هي إيش؟ بدّي الـ،
+
+364
+00:31:04,220 --> 00:31:07,660
+AL، أبدّله مع الـ S، وين الـ S بتشاور؟ هنا، وين الـ AL،
+
+365
+00:31:07,660 --> 00:31:15,360
+هيتها؟ الاثنين، والأربعة، أجئت الآن الأربعة ما بين،
+
+366
+00:31:15,360 --> 00:31:21,720
+اللي أصغر منها واللي أكبر منها، نعم؟ نعم، فالآن هذا،
+
+367
+00:31:21,720 --> 00:31:26,740
+الكلام، لما أنا أجيء في الـ iteration اللي بعده، هستدعيها،
+
+368
+00:31:26,740 --> 00:31:32,100
+عالمين، على هذه الآن الـ L الجديدة، بعد ما أقارن،
+
+369
+00:31:33,150 --> 00:31:39,270
+وألاقي أن S تساوي 2، وأنا بأبحث عن S تساوي K ناقص،
+
+370
+00:31:39,270 --> 00:31:43,190
+واحد، اللي هي أربعة، وهذا لا يساوي، فأنا بدي أخد مين؟
+
+371
+00:31:43,190 --> 00:31:46,570
+بدي أخد هدول، بدي أخد هدول، هي الـ L الجديدة، والـ R،
+
+372
+00:31:46,570 --> 00:31:51,410
+زي ما هي، خلّي بالك الـ L هنا أصبح... هنا كانت صفر،
+
+373
+00:31:51,410 --> 00:31:54,030
+هنا إيش صارت؟ واحد، اثنين، ثلاثة... صفر، واحد،
+
+374
+00:31:54,030 --> 00:32:01,300
+اثنين، ثلاثة، بظبط؟ هدخل نفس الـ array كلها، بس هقوله،
+
+375
+00:32:01,300 --> 00:32:05,980
+ابدأ شغلك للـ partition، هقولها ابدأ من عند L ثلاثة،
+
+376
+00:32:05,980 --> 00:32:10,160
+L بتصبح ثلاثة، لغاية R اللي هي ثمانية، R بتصبح،
+
+377
+00:32:10,160 --> 00:32:14,040
+ثمانية، okay،
+
+378
+00:32:14,040 --> 00:32:18,920
+فالـ algorithm اللي،
+
+379
+00:32:18,920 --> 00:32:21,440
+هي الـ quick select اللي بتستدعي الـ partitioning،
+
+380
+00:32:21,440 --> 00:32:26,000
+إيش بتسوي أول،
+
+381
+00:32:26,000 --> 00:32:29,750
+حاجة؟ بتروح تستدعي الـ partition، وبأخذ منها الـ،
+
+382
+00:32:29,750 --> 00:32:33,510
+output تبعها، طبعاً كل الشغل على الـ array in place،
+
+383
+00:32:33,510 --> 00:32:36,390
+يعني الـ array بتظلها هي هي، بتغيّر العناصر اللي،
+
+384
+00:32:36,390 --> 00:32:39,590
+
+445
+00:39:35,740 --> 00:39:39,350
+والسبعة بعدها هتيجي الثمانية هنا والسبعة هنا لأن
+
+446
+00:39:39,350 --> 00:39:48,350
+هذا الـ location هو عبارة عن ايش؟ أربعة الآن هنخش
+
+447
+00:39:48,350 --> 00:39:57,450
+نقارن الـ S اللي هي أربعة S بالسبعة، أربعة مع K ناقص
+
+448
+00:39:57,450 --> 00:40:03,830
+واحد، K دخلت كم؟ اثنين
+
+449
+00:40:08,200 --> 00:40:16,040
+K نقص واحد، سوى واحد، كالتانية
+
+450
+00:40:16,040 --> 00:40:19,980
+كالتانية مش تبقى الاستدعاء الأول، الاستدعاء الأول
+
+451
+00:40:19,980 --> 00:40:25,760
+كانت خمسة، الاستدعاء الثاني دخلت اثنين، okay اللي
+
+452
+00:40:25,760 --> 00:40:32,160
+يعني يفترض أنه احنا الـ S هذه، الـ S هذه ما تطلعش أربعة
+
+453
+00:40:32,160 --> 00:40:35,620
+تطلع واحد، يعني بمعنى أنه الـ pointer هذا
+
+454
+00:40:38,770 --> 00:40:45,610
+يبدأ من الـ Zero وهي Zero وهي واحد، فالـ S تطلع واحد
+
+455
+00:40:45,610 --> 00:40:54,290
+في هذه الحالة الـ S بتساوي K ناقص واحد، فبتجه في
+
+456
+00:40:54,290 --> 00:40:59,850
+العملية مضبوط لأن بيكون لجين الثمانية على الموضوع
+
+457
+00:40:59,850 --> 00:41:04,010
+ماشي
+
+458
+00:41:06,740 --> 00:41:10,400
+طيب هنا وين الـ .. وين الـ .. الـ variable size في
+
+459
+00:41:10,400 --> 00:41:13,140
+الموضوع؟ كمان احنا بنقول هذه الـ algorithm variable
+
+460
+00:41:13,140 --> 00:41:19,080
+size decrease، decrease، تناقص بحجم متبين، بأحجام
+
+461
+00:41:19,080 --> 00:41:24,300
+متبينة واضحة جدا لأن احنا في الأول كان عندي كل الـ
+
+462
+00:41:24,300 --> 00:41:29,700
+.. كل المجموعة، كل الأرين، بعدين أخدنا من ثمانية
+
+463
+00:41:29,700 --> 00:41:36,200
+لخمسة عشر، بعدين ربما نأخذ شيء أصغر، ربما نأخذ النص
+
+464
+00:41:36,200 --> 00:41:42,700
+ربما نأخذ أقل من النص، فما فيش ratio ثابت بيتناقص
+
+465
+00:41:42,700 --> 00:41:48,700
+في الـ input المثال
+
+466
+00:41:48,700 --> 00:41:55,240
+الثالث، احنا الآن لما نـ .. هنا في الـ .. في الـ
+
+467
+00:41:55,240 --> 00:41:59,660
+select، هذه الـ problem أو في الـ search لما بنعمل
+
+468
+00:41:59,660 --> 00:42:04,820
+binary search problem، لو نعمل binary search بيكون
+
+469
+00:42:04,820 --> 00:42:09,240
+في عندي أنا الـ array مرتبة، الـ array مرتبة وعندي
+
+470
+00:42:09,240 --> 00:42:14,780
+value V، الـ V هذا بتبحث عنه في الـ array، فبروح على
+
+471
+00:42:14,780 --> 00:42:19,560
+منتصف الـ array، بقارن إذا هو هيه، هو وانت هنا إذا
+
+472
+00:42:19,560 --> 00:42:23,440
+الـ value اللي معايا أكبر من الـ value اللي في نص الـ
+
+473
+00:42:23,440 --> 00:42:28,340
+array، برجع لغاية ببحث في النص الأولاني، نص الأولاني
+
+474
+00:42:28,340 --> 00:42:33,740
+يعني N على 2، وإلا إذا الـ value اللي معايا أكبر من
+
+475
+00:42:33,740 --> 00:42:37,380
+الـ .. هذا بروح بأدور في نص الثاني، وفي كل مرة بعمل
+
+476
+00:42:37,380 --> 00:42:41,840
+هذا، هذا decrease by half، هذا decrease by half، طيب
+
+477
+00:42:41,840 --> 00:42:44,260
+أنا ليش دائما أعمل decrease by half؟ طب ليش أنا
+
+478
+00:42:44,260 --> 00:42:47,500
+ما أطلع على الـ value اللي معايا؟ بما أن الـ array
+
+479
+00:42:47,500 --> 00:42:52,340
+مرتبة، لربما أن الـ value .. لو طلعت على قيمته، لربما
+
+480
+00:42:52,340 --> 00:42:56,360
+يكون أنا أقدر أروح .. لو روحت على آخر الـ array
+
+481
+00:42:56,360 --> 00:43:01,780
+أجيه هناك أسرع، أو إذا هو قيمته صغيرة، لو أنا روحت
+
+482
+00:43:01,780 --> 00:43:05,860
+على أو بداية الـ array، أجيه هناك بشكل أسرع، يعني زي ما
+
+483
+00:43:05,860 --> 00:43:08,680
+احنا بندور في القاموس، لو أنا بدور على كلمة بتبدأ
+
+484
+00:43:08,680 --> 00:43:12,940
+بحرف الـ B، ما بمسكش القاموس من نصه ولا من آخره، بمسكه
+
+485
+00:43:12,940 --> 00:43:16,020
+من البداية، لأن الـ B في بداية الأبجدية، ولو بدور
+
+486
+00:43:16,020 --> 00:43:20,240
+على كلمة بتبدأ بحرف مثلا الـ S أو الـ Q، باخذ القاموس
+
+487
+00:43:20,240 --> 00:43:26,430
+من آخره، صح؟ فهذا ممكن يكون أن أنا أروح على
+
+488
+00:43:26,430 --> 00:43:31,090
+الموضوع في الـ array اللي أقرب للـ value اللي معايا
+
+489
+00:43:31,090 --> 00:43:37,570
+يمكن يكون أسرع، هذا الـ interpolation search بيتم
+
+490
+00:43:37,570 --> 00:43:41,130
+على الفكرة هذه، أن عندي لو أنا بدي أطلق لو أنا
+
+491
+00:43:41,130 --> 00:43:46,630
+عندي الـ array هيها، وهدول ايش الـ indices واحد
+
+492
+00:43:46,630 --> 00:43:51,630
+اثنين، ثلاثة، أربعة، خمسة، ستة، سبعة، في value آخر أقول
+
+493
+00:43:51,630 --> 00:43:55,030
+مثلا خمسة عشر، ثمانية، لأن لو أنا بدي أعمل رسم بياني
+
+494
+00:43:55,030 --> 00:43:59,190
+ما بين الـ index و بين الـ value، يعني على الـ X axis
+
+495
+00:43:59,190 --> 00:44:05,940
+بدي أحط الـ index هي one هي two لغاية ايش ثمانية، على
+
+496
+00:44:05,940 --> 00:44:11,340
+الـ Y بحط الـ value المخزن، يعني الـ zero فيها اثنين
+
+497
+00:44:11,340 --> 00:44:21,040
+الواحد فيها واحد، الاثنين فيها أربعة، خلينا
+
+498
+00:44:21,040 --> 00:44:23,660
+نرتبهم، في الأول لازم نكون مرتبين، في الأول واحد
+
+499
+00:44:23,660 --> 00:44:29,820
+اثنين، أربعة، سبعة، ثمانية، بعدين تسعة، بعدين اثنا عشر
+
+500
+00:44:29,820 --> 00:44:34,830
+عشرة، بعدين 12، وبعدين 15، فالـ zero عليها واحد
+
+501
+00:44:34,830 --> 00:44:38,610
+والواحد
+
+502
+00:44:38,610 --> 00:44:43,510
+عليها اثنين، فبما أنهم مرتبين، فهيبقى هذا ايش؟ تصاعدي
+
+503
+00:44:43,510 --> 00:44:48,270
+مش ضرورة straight line، المهم تصاعدي، ماشي الحال، فانا
+
+504
+00:44:48,270 --> 00:44:53,010
+بدي أعتمد على هذا الأساس، أنه والله إذا أنا بدور
+
+505
+00:44:53,010 --> 00:44:59,010
+على الـ value، والـ value هذا قريب من أول عنصر في الـ
+
+506
+00:44:59,010 --> 00:45:04,240
+array، هيبقى بروح أدور في المجموعة هذه، بقيت بروح
+
+507
+00:45:04,240 --> 00:45:10,280
+أدور في الآخر حسب قيمته، فهذا الـ formula بتعطيني
+
+508
+00:45:10,280 --> 00:45:14,820
+مؤشر الـ random access على طول مباشر، على من وين أبدأ
+
+509
+00:45:14,820 --> 00:45:19,200
+مش هبدأ من النص زي في الـ binary search، مش هبدأ في
+
+510
+00:45:19,200 --> 00:45:23,040
+النص، هبدأ من الموضوع حسب ما بتأشر لهذه، هذه عبارة
+
+511
+00:45:23,040 --> 00:45:29,520
+عن ايش؟ V ناقص AL، هذه V وهذه AL، هذه المسافة هي V
+
+512
+00:45:29,520 --> 00:45:35,060
+ناقص AL، تمام؟
+
+513
+00:45:35,550 --> 00:45:46,890
+R ناقص L، هاي R وهاي L، هاي R ناقص L، فهذا
+
+514
+00:45:46,890 --> 00:45:58,550
+ضرب هذا على ايش؟ AR، هاي AR ناقص AL، على هذا، هذا الـ
+
+515
+00:45:58,550 --> 00:46:05,210
+ratio بيعطيني جدارش بالظبط، ممكن أبتعد عن الـ L اللي
+
+516
+00:46:05,210 --> 00:46:10,610
+هو الـ index تبع أول عنصر، كده أقفز، وين أروح بالظبط
+
+517
+00:46:10,610 --> 00:46:15,470
+هذا الـ ratio بيتمد على الـ value اللي معاه، إذا الـ
+
+518
+00:46:15,470 --> 00:46:18,030
+value تبقى كبيرة، هيبقى الـ ratio كبيرة، فهيبقى قفزة
+
+519
+00:46:18,030 --> 00:46:22,090
+بعيدة، إذا الـ value صغيرة، هيبقى قفزة قريبة، هروح على
+
+520
+00:46:22,090 --> 00:46:26,870
+العنصر اللي بالظبط، الـ X هنا عبارة عن الـ index، هروح
+
+521
+00:46:26,870 --> 00:46:31,660
+على عنصر معايا، أروح أقارن، إذا العنصر هذا هو اللي
+
+522
+00:46:31,660 --> 00:46:35,780
+أنا بدور عليه، كان هيه ما كانش، فبروح يا باخد اللي
+
+523
+00:46:35,780 --> 00:46:38,720
+بعده أو اللي جابله على حسب، ولما آخذ اللي بعده أو
+
+524
+00:46:38,720 --> 00:46:43,620
+اللي جابته بعيد نفس الحسبة هذه، فهنا بيصير في عندي
+
+525
+00:46:43,620 --> 00:46:49,560
+أنا قفزة أسرع، لأنه أنا قدرت المكان اللي بيروح عليه
+
+526
+00:46:49,560 --> 00:46:52,900
+بناء على الـ value اللي معايا، هذا طبعا على أساس أن
+
+527
+00:46:52,900 --> 00:46:55,960
+الـ .. مرتبة sorted بالظبط
+
+528
+00:47:00,490 --> 00:47:03,550
+ممكن أقفز قفزة واسعة في الأول، وفي الـ iteration
+
+529
+00:47:03,550 --> 00:47:09,010
+الثانية تبقى قفزة صغيرة، وده وانا ايه؟ آخر issue
+
+530
+00:47:09,010 --> 00:47:11,990
+اللي هو الـ problem الأخير، الـ binary search هنسيبه
+
+531
+00:47:11,990 --> 00:47:16,650
+لمحاضرة جاية، الـ binary search، وبعدها في أن الـ
+
+532
+00:47:16,650 --> 00:47:23,370
+name game في عليها مسألة في الـ exercises رقم عشرة
+
+533
+00:47:42,850 --> 00:47:46,950
+مطلوب منك تقرأ الـ section أو الكلمتين اللي في
+
+534
+00:47:46,950 --> 00:47:51,630
+الكتاب عن هذه الـ game، وتفهميها، وتحلي المسألة على
+
+535
+00:47:51,630 --> 00:47:54,430
+هذا الأساس، يعبر عن مثال آخر، الـ variable size
+
+536
+00:47:54,430 --> 00:47:58,140
+decrease، أما هذا اللي هو الـ binary search فانا بحكي
+
+537
+00:47:58,140 --> 00:48:00,540
+في المحاضرة اللي جاية، على السريع، المحاضرة الجاية
+
+538
+00:48:00,540 --> 00:48:02,060
+إن شاء الله يعطيكم منافع
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f324cdc94eb874cb388773c090597c2654ea1f0f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw_postprocess.srt
@@ -0,0 +1,2152 @@
+1
+00:00:20,840 --> 00:00:22,800
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:22,800 --> 00:00:27,720
+المرسلين اليوم ان شاء الله بنات بنكمل الحكي في ال
+
+3
+00:00:27,720 --> 00:00:31,740
+decrease and conquer algorithms كنا غطينا ال
+
+4
+00:00:31,740 --> 00:00:34,240
+decrease by a constant و ال decrease by a constant
+
+5
+00:00:34,240 --> 00:00:37,120
+factor و اليوم ان شاء الله بنطلع على بعض الأمثلة
+
+6
+00:00:37,120 --> 00:00:40,560
+اللي بتصنف علينا decreaseبعض الأمثلة لـ Problems
+
+7
+00:00:40,560 --> 00:00:43,460
+اللي وصلنا لإنها Variable Size Decrease يعني الـ
+
+8
+00:00:43,460 --> 00:00:49,380
+Input Size بيتقلص، Decrease يعني ولكن مش بمعدل
+
+9
+00:00:49,380 --> 00:00:54,860
+ثابت أو بكمية ثابتة إنما في تباين في .. واحنا
+
+10
+00:00:54,860 --> 00:00:57,900
+شوفنا مثال على ذلك اللي هو الـ GCD هنطلع عليه نعيد
+
+11
+00:00:57,900 --> 00:01:02,000
+.. نراجع مرة أخرى ونشوف أمثلة أخرى هنطلع على الـ
+
+12
+00:01:02,000 --> 00:01:05,060
+Euclid's Algorithm for Greatest Common Divisor الـ
+
+13
+00:01:05,060 --> 00:01:10,160
+GCD وبعدين هنطلع على الـ Selection Problemوطريقة
+
+14
+00:01:10,160 --> 00:01:13,860
+تحلها بـ Partition Based Algorithm Partition Based
+
+15
+00:01:13,860 --> 00:01:17,040
+Algorithm وبعد ذلك هنشوف الـ Interpolation Search
+
+16
+00:01:17,040 --> 00:01:22,040
+و الـ Binary Search Tree البحث في الـ Binary
+
+17
+00:01:22,040 --> 00:01:25,240
+Search Tree ممكن يعتبر على أنه أيضًا Variable Size
+
+18
+00:01:25,240 --> 00:01:29,400
+Decrease وفي الآخر ماعتقدتش هيظل معاها نوجة لـ NIM
+
+19
+00:01:29,400 --> 00:01:35,120
+Like Games بس هناخد فيها Homework او يعني اتسوواها
+
+20
+00:01:35,120 --> 00:01:43,280
+انتوا بنفسكمبنسبة لـ GCD greatest common divisor
+
+21
+00:01:43,280 --> 00:01:48,920
+أذكركم أنه لما يكون في عندي مثل مثل مثل مثل مثل
+
+22
+00:01:48,920 --> 00:01:49,800
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+23
+00:01:49,800 --> 00:01:51,100
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+24
+00:01:51,100 --> 00:01:52,520
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+25
+00:01:52,520 --> 00:01:52,940
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+26
+00:01:52,940 --> 00:01:54,780
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+27
+00:01:54,780 --> 00:01:55,860
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+28
+00:01:55,860 --> 00:02:04,920
+مثل مثل مثل مثل مثل مثل مثل مثل مثل مثل
+
+29
+00:02:04,920 --> 00:02:14,750
+مثبجيب الاربعة و اربعين اللي هو N و بحط مقابله
+
+30
+00:02:14,750 --> 00:02:20,530
+اللي هو M mod N M الاصلية mod N الاصلية تمانين mod
+
+31
+00:02:20,530 --> 00:02:24,500
+اربعة و اربعين80 عارفة واربعة واربعين و واحد و
+
+32
+00:02:24,500 --> 00:02:29,940
+بيبقى ستة و تلاتين لأن يوكلس ال theorem بتقول ان
+
+33
+00:02:29,940 --> 00:02:35,580
+هذا يساوي هذا يعني ال common greatest common
+
+34
+00:02:35,580 --> 00:02:38,280
+divisor ما بين هدول رقمين هو نفسه greatest common
+
+35
+00:02:38,280 --> 00:02:42,400
+divisor ما بين هدول رقمين وبالتالي انا بنكرر الأمر
+
+36
+00:02:42,400 --> 00:02:48,080
+هذا بنجيب ال 36 و بناخد ال mod اللي هو ال 12
+
+37
+00:02:54,600 --> 00:03:01,140
+و أيضا بنكرر الأمر 12 مع 0 36 mod 12 ثلاثة و بيبقى
+
+38
+00:03:01,140 --> 00:03:07,380
+0 ف0 هي ال mod تمام و يساوي أي رقم مع ال 0 ال
+
+39
+00:03:07,380 --> 00:03:11,960
+greatest common divisor هو نفس الرقم تمام الان وين
+
+40
+00:03:11,960 --> 00:03:17,480
+ال variable decrease او ال decrease المتفاوتة في
+
+41
+00:03:17,480 --> 00:03:22,880
+الحجم انه احنا طبعا ال N هو المعيار الأساسي لحجم
+
+42
+00:03:22,880 --> 00:03:27,430
+ال problemصح؟ يعني بغض النظر عن ال M ال N لأنه أنا
+
+43
+00:03:27,430 --> 00:03:30,830
+باخد ال N و بقلصه شوية شوية لحد اتما ال N يصل لل
+
+44
+00:03:30,830 --> 00:03:37,030
+Zero التقلصات هذه في الأول اتقلص من 44 ل 36 ال 36
+
+45
+00:03:37,030 --> 00:03:40,690
+بالنسبة ل 44 لا هي نص ولا تولي هي عملية أكبر من
+
+46
+00:03:40,690 --> 00:03:45,990
+النص صح؟ ال 36 اتقلصت بعدين ال 12 ال 12 تلت ال 36
+
+47
+00:03:45,990 --> 00:03:52,450
+فهنا أقل من النص التقلص وهنا التقلص تلتين وهنا 12
+
+48
+00:03:53,280 --> 00:03:57,380
+ماخدت؟ بالك فالتقلصات هذه متباينة فعشان كمان نقول
+
+49
+00:03:57,380 --> 00:04:02,200
+عنها variable size decrease و هذا المثال يفترض انه
+
+50
+00:04:02,200 --> 00:04:05,320
+يعني يقرب بشكل كبير المفهوم ال variable size
+
+51
+00:04:05,320 --> 00:04:09,280
+decrease الان المثال التاني اللي هو selection
+
+52
+00:04:09,280 --> 00:04:13,260
+problem selection problem ايش .. ايش المطلوب في ال
+
+53
+00:04:13,260 --> 00:04:15,780
+selection؟ خليني معايا و ركزوا على بداية انه انا
+
+54
+00:04:15,780 --> 00:04:19,800
+بكون في عندي لسة و بدي اختار منها رقم الرقم هذا
+
+55
+00:04:21,570 --> 00:04:26,350
+غالبا ما احنا .. يعني اكثر .. اكثر .. الحياة
+
+56
+00:04:26,350 --> 00:04:28,830
+الأكثر شيء عن ال selection problem ان احنا لسه
+
+57
+00:04:28,830 --> 00:04:31,790
+بدنا ال median الرقم اللي بدنا نختاره هو ال median
+
+58
+00:04:31,790 --> 00:04:36,210
+شو هو ال median؟ ال median مش ال mean ال mean اللي
+
+59
+00:04:36,210 --> 00:04:38,910
+هو ال average ال average يعني مجموعة الأرقام على
+
+60
+00:04:38,910 --> 00:04:43,830
+عددهم ال median لأ ال median انه ترتيب الوسط ما
+
+61
+00:04:43,830 --> 00:04:48,640
+بينهم الوسطيعني إيش لازم نرتبهم و بعدين ناخد ال
+
+62
+00:04:48,640 --> 00:04:55,060
+answer اللي في النص فال median ال
+
+63
+00:04:55,060 --> 00:04:59,320
+median هو بالظبط اللي هو n على 2 ceiling يعني مثلا
+
+64
+00:04:59,320 --> 00:05:02,560
+دول عددهم جديش واحد اتنين تلاتة اربع خمسة ستة سبعة
+
+65
+00:05:02,560 --> 00:05:07,180
+تمانية تسعة تسعة على اتنين اربع و نص تمام ال
+
+66
+00:05:07,180 --> 00:05:11,300
+ceiling تبع الاربع و نص اللي هي next integer أكبر
+
+67
+00:05:11,300 --> 00:05:14,020
+من هذا القيمة اللي هي الخمسة تمام فهنا K بيساوي
+
+68
+00:05:14,020 --> 00:05:20,790
+خمسةلما أقول أنا بدي select العنصر كيه بيساوي خمسة
+
+69
+00:05:20,790 --> 00:05:24,610
+يعني بدي مين بعد ما نرتبهم بعد ما نرتبهم هصيروا
+
+70
+00:05:24,610 --> 00:05:29,270
+كيف واحد بعدين هتيجي الاتنين بعدين الأربع بعدين
+
+71
+00:05:29,270 --> 00:05:34,250
+السبعة بعدين التمانية بعدين التسعة والعشرة اتناش
+
+72
+00:05:34,250 --> 00:05:40,430
+خمستاش من خمسة واحد اتنين تلاتة هذا واحد اتنين
+
+73
+00:05:40,430 --> 00:05:45,480
+تلاتة اربع خمسة هذا العنصرتمام؟ الخمسة هنا ترتيب
+
+74
+00:05:45,480 --> 00:05:49,080
+العنصر ما بين عناصر ما تلخمطيش هذا الأمر ما بين ..
+
+75
+00:05:49,080 --> 00:05:52,460
+ما بينه و ما بين ال index تبعه إذا حنا حاطناه في
+
+76
+00:05:52,460 --> 00:05:56,700
+ال ray يعني ممكن هي الترتيب مش الأخر نفسه أي نعم
+
+77
+00:05:56,700 --> 00:06:01,240
+لأ طلع كيف لأ ال median هو الرقم بس أنا بقول هو
+
+78
+00:06:01,240 --> 00:06:06,600
+الرقم اللي ترتيبه خمسة خمسة هنا إيش هي؟ هي عبارة
+
+79
+00:06:06,600 --> 00:06:12,880
+عن النص الوسط يعني اللي هي n على 2 ceilingتمام
+
+80
+00:06:12,880 --> 00:06:18,240
+فانا لما بقولك select من هذه ال list العنصر K
+
+81
+00:06:18,240 --> 00:06:22,340
+بساوي خمسة يعني select ال median لو قلتلك select
+
+82
+00:06:22,340 --> 00:06:26,600
+من هذه ال list العنصر K بساوي واحد يعني اعطيني ال
+
+83
+00:06:26,600 --> 00:06:31,920
+smallest لو قلتلك اعطيني K بساوي N يعني اعطيني ال
+
+84
+00:06:31,920 --> 00:06:36,840
+largest مظبوط؟ لو قلتلك اعطيني K بساوي تلاتة يعني
+
+85
+00:06:36,840 --> 00:06:42,820
+تالت اصغر عنصرتالت أصغر عنصر هذا أول أصغر هذا تاني
+
+86
+00:06:42,820 --> 00:06:47,160
+أصغر هذا تالت أصغر صح؟ هذه مفهوم ال selection
+
+87
+00:06:47,160 --> 00:06:54,300
+problem إنه عندي مجموعة أرقام مجموعة okay بدي
+
+88
+00:06:54,300 --> 00:07:01,340
+أختار منهم الوسيط أو الأكبر أو الأصغر أو تالت أكبر
+
+89
+00:07:01,340 --> 00:07:06,320
+أو تالت أصغر زي هيك okay هذا الأمر اختيار هذا
+
+90
+00:07:06,320 --> 00:07:11,360
+يشتمل ضمن اللي هو الترتيبعشان انا اطلعلك ال rank
+
+91
+00:07:11,360 --> 00:07:13,600
+اللي هي برضه ال selection problem و هي ما يسمى ال
+
+92
+00:07:13,600 --> 00:07:17,520
+rank problem ال rank يعني الرتبة يعني عشان انا
+
+93
+00:07:17,520 --> 00:07:21,820
+اجيبلك الحل بدي ارتبهم في الأول لأن عملية الترتبة
+
+94
+00:07:21,820 --> 00:07:28,190
+دي مكلفة على ال Ray زي هيك جدش هدول قدرهم تسعةأه
+
+95
+00:07:28,190 --> 00:07:33,250
+تسعة ممكن مش قضية كبيرة ولكن على أكبر من هيك او
+
+96
+00:07:33,250 --> 00:07:36,750
+نفترض ان احنا بدنا نعمل عملية الترتيب نطلع ال
+
+97
+00:07:36,750 --> 00:07:40,490
+median هذا الف مرة يعني كيف الف مرة نفترض ان في
+
+98
+00:07:40,490 --> 00:07:47,750
+عندنا احنا صورة صورة مش الصورة مجموعة pixels صح في
+
+99
+00:07:47,750 --> 00:07:50,650
+filter اسمه ال median filter ال median filter اسمه
+
+100
+00:07:50,650 --> 00:07:53,740
+median filter اسم ال medianالـ Filter هذا إيش
+
+101
+00:07:53,740 --> 00:07:56,160
+بيسوي؟ بيبقى فيه أندي مثلا Noise، بيبقى فيه أندي
+
+102
+00:07:56,160 --> 00:07:59,340
+Noise على الصورة، والـ Noise هذا بيبقى .. في أنواع
+
+103
+00:07:59,340 --> 00:08:01,820
+من الـ Noise، في الـ Noise اللي هي الـ White Noise
+
+104
+00:08:01,820 --> 00:08:05,520
+و الـ Black Noise، الـ White بيسموها Salt Noise،
+
+105
+00:08:05,520 --> 00:08:08,720
+Salt يعني ملح، و الـ Black بيسموها Pepper، و
+
+106
+00:08:08,720 --> 00:08:10,980
+أحيانا تبقى الـ Noise خليط من الـ White و الـ
+
+107
+00:08:10,980 --> 00:08:11,100
+Black،
+
+108
+00:08:14,670 --> 00:08:18,670
+Pepper and Salt Noise المهم هذا النوع من الـ Noise
+
+109
+00:08:18,670 --> 00:08:22,650
+اللي بيبقى فيه عندي الـ Noise إما Zero أو أبيض أو
+
+110
+00:08:22,650 --> 00:08:27,890
+أسود أبيض بمعنى 255 و أسود بمعنى .. هذا ممكن
+
+111
+00:08:27,890 --> 00:08:31,310
+إزالته أو تخفيفه بالـ Median Filter الـ Median
+
+112
+00:08:31,310 --> 00:08:37,350
+Filter إيش بيسوي؟ بيجي على كل Pixel في الـ Image و
+
+113
+00:08:37,350 --> 00:08:40,930
+إيش بيسوي؟ بيجي على الـ Pixel و بخد اللي ..الـ 8
+
+114
+00:08:40,930 --> 00:08:46,590
+النايبورات اللي حواليها هي وتسعة عناصر
+
+115
+00:08:47,650 --> 00:08:51,450
+عشان اطلع الـ Median ما بين هدولة بدي ارتبهم
+
+116
+00:08:51,450 --> 00:08:55,490
+التسعة و اخد الوسيط ايش بأخد .. ايش بسوف فيه بحطه
+
+117
+00:08:55,490 --> 00:08:57,950
+بدال ال .. ال .. ال pixel اللي انا واقف عليها انا
+
+118
+00:08:57,950 --> 00:09:03,390
+واقف علي هذه مثلا قولي 193 و حماليها كمان تمانية
+
+119
+00:09:03,390 --> 00:09:08,050
+فهي وياهم بترتبوا و اللي بيجي بتصدف ان هو الوسيط
+
+120
+00:09:08,050 --> 00:09:12,650
+بنشيل 193 و بنحطه بدالها هذا ايش فايدته؟ فايدته
+
+121
+00:09:12,650 --> 00:09:15,250
+الكلام هذا ايش فايدته؟ انه لو هذه ال pixel هي
+
+122
+00:09:15,250 --> 00:09:22,470
+noise0 او 255 هتروح هكون اتخلصت منها وحطيت بدل
+
+123
+00:09:22,470 --> 00:09:27,950
+ايه؟ Pixel من من؟ من جيرانها Pixel من جيرانها ارحم
+
+124
+00:09:27,950 --> 00:09:34,660
+منها ولا لأ يعني لو ابيكون اه حسنت .. حسنت الصورة
+
+125
+00:09:34,660 --> 00:09:38,180
+بدل ما كانها النقط البيضا او السودا مشوهاتها اجا
+
+126
+00:09:38,180 --> 00:09:41,900
+راحت البيضا او السودا بس مارجعتش الأصلية لإن أنا
+
+127
+00:09:41,900 --> 00:09:44,620
+ماعرفش إيش الأصلية كانت بس أجت بدل واحدة من جرانها
+
+128
+00:09:44,620 --> 00:09:49,440
+اللي هو الأقرب على الأصل صحيح؟ فبيكون اتخلصت من ال
+
+129
+00:09:49,440 --> 00:09:53,090
+.. ال إيش؟ من ال white and black noiseهذا القمر
+
+130
+00:09:53,090 --> 00:09:56,810
+عشان انا اعمله بدي اعمله على كل pixel في الصورة
+
+131
+00:09:56,810 --> 00:10:00,010
+بدي اقف على كل pixel اخد التمانية اللي حوالها و
+
+132
+00:10:00,010 --> 00:10:05,550
+معاها هي تسعة احسب ال median و اكرر الكلام على كل
+
+133
+00:10:05,550 --> 00:10:08,690
+pixel في الصورة لو انا عندي صورة اقول مثلا
+
+134
+00:10:08,690 --> 00:10:12,070
+اربعمائه و عشرين في اربعمائه تمانين في تلاتمين و
+
+135
+00:10:12,070 --> 00:10:15,810
+عشرين اضرب العدد هاي عدد ليش هاي ال problem size
+
+136
+00:10:15,810 --> 00:10:22,370
+تبعتك ال problem size مش تسعةتسعى تضرب هذا الكلام
+
+137
+00:10:22,370 --> 00:10:26,670
+تسعى تضرب هذا الكلام مهول فانا لو بدى اعمل sorting
+
+138
+00:10:26,670 --> 00:10:32,730
+في كل pixel ال efficiency بتبقى .. فبدنا طريقة
+
+139
+00:10:32,730 --> 00:10:42,930
+ماتعملش sorting تتجنب و تتجاوز ال sorting بنعالجها
+
+140
+00:10:42,930 --> 00:10:49,620
+ممكن نعملها نوع من معالجة أو نهملهم تمامااللي هو
+
+141
+00:10:49,620 --> 00:10:51,720
+ال border بنسميه ال border pixels هدوة لأ ممكن
+
+142
+00:10:51,720 --> 00:10:57,660
+نهملهم تماما ناخد بس من عند اللي هو السطر التاني و
+
+143
+00:10:57,660 --> 00:11:03,060
+العمود التاني okay فالان إذا في طريقة أنه احنا
+
+144
+00:11:03,060 --> 00:11:07,680
+نطلع ال median هذا بدون ترتيب بيبجي أحسن أو يعني
+
+145
+00:11:07,680 --> 00:11:11,240
+بشكل اللي ال complexity تبعته أو ال time
+
+146
+00:11:11,240 --> 00:11:15,040
+efficiency تبعته أقل من الترتيب بيبجي ممتاز وفعلا
+
+147
+00:11:15,040 --> 00:11:18,260
+في أنه اللي هو فعلا طريقة لذلك الطريقة هذه بتعتمد
+
+148
+00:11:18,260 --> 00:11:21,730
+علىالـ Partitioning اسمها Partition Based
+
+149
+00:11:21,730 --> 00:11:24,850
+Algorithm Partition Based Algorithm تعتمد على أنه
+
+150
+00:11:24,850 --> 00:11:30,610
+أنا ال list الأصلي اللي عندي هاخده
+
+151
+00:11:30,610 --> 00:11:35,070
+العنصر الأولاني بغض النظر إيش هيطلع معاه مين هو
+
+152
+00:11:35,070 --> 00:11:39,290
+أخده واعتبره ك pivot pivot يعني إيش يعني مفصل أو
+
+153
+00:11:39,290 --> 00:11:46,510
+محور وأجسم ال .. أجسم ال list إلى قسمين يبقى هو
+
+154
+00:11:46,510 --> 00:11:53,800
+جايالـ Pivot هذا جاب له اللي أصغر منه وبعده اللي
+
+155
+00:11:53,800 --> 00:11:58,020
+أكبر منه يعني هذا الـ N لو بتعملها partitioning
+
+156
+00:11:58,020 --> 00:12:01,340
+على أساس الأربعة الأربعة هي الـ Pivot إيش بدي
+
+157
+00:12:01,340 --> 00:12:05,980
+يطلع؟ بدي يجي الواحد و بدي يجي التانين و بعدين إيش
+
+158
+00:12:05,980 --> 00:12:10,060
+فيه كمان أصغر من الأربعة؟ فشي بدي يجي الأربعة و
+
+159
+00:12:10,060 --> 00:12:13,860
+بعدين الباقين من عندش السبعة، التمانية، التسعة،
+
+160
+00:12:13,860 --> 00:12:20,360
+العشرة، الاطناش إلى الخمستاشرعملت partitioning
+
+161
+00:12:20,360 --> 00:12:28,040
+تجزئة تقسيم لهذه الليستة الأصلية بحيث أنه العنصر
+
+162
+00:12:28,040 --> 00:12:33,840
+الأولاني أجا pivot pivot ما بين two partitions
+
+163
+00:12:33,840 --> 00:12:37,940
+partition الأولاني هم العناصر اللي أقل منه و ال
+
+164
+00:12:37,940 --> 00:12:40,980
+partition التاني هم العناصر اللي أكبر منه ايش
+
+165
+00:12:40,980 --> 00:12:43,760
+هستفيد من هذا الكلام هستفيد من هذا الكلام انه okay
+
+166
+00:12:43,760 --> 00:12:49,570
+انا بدي k بالساوية خمسةOkay بقيتش بتطلع على ال
+
+167
+00:12:49,570 --> 00:12:55,910
+answer هذا ايش ترتيبه في ال list في ال array اتنين
+
+168
+00:12:55,910 --> 00:13:01,930
+كويس ال zero هذا في ال array واحد اتنين اتنين هذا
+
+169
+00:13:01,930 --> 00:13:06,710
+بدنا نسميه S S يعني ال pointer اللي يشير إلى ال
+
+170
+00:13:06,710 --> 00:13:11,190
+pivot المفصل ما بين ال two partitions S بتساوي كده
+
+171
+00:13:11,190 --> 00:13:15,050
+اتنين اذا
+
+172
+00:13:17,510 --> 00:13:26,510
+S إذا S بيساوي K ناقص واحد K
+
+173
+00:13:26,510 --> 00:13:33,610
+ناقص واحد يعني إيش؟ معناته هذا الأنصار المشارق ليه
+
+174
+00:13:33,610 --> 00:13:38,830
+ب S هو الأنصار اللي أنا بديها صح
+
+175
+00:13:38,830 --> 00:13:43,190
+ولا لا؟ إذا
+
+176
+00:13:44,810 --> 00:13:49,150
+إذا الـ Pivot هذا أتي ترتيبه نفس ترتيب اللي أنا
+
+177
+00:13:49,150 --> 00:13:53,030
+بديه نقص واحد يبقى هو نفس هذا الأنصار هو الأنصار
+
+178
+00:13:53,030 --> 00:13:57,290
+اللي أنا بدورها دي هو الـ Median خليني أوضحكوا
+
+179
+00:13:57,290 --> 00:14:01,410
+إليها بشكل آخر بدأنا أفترض إنه الحين أنا في ال
+
+180
+00:14:01,410 --> 00:14:04,170
+list هذه مين ال median حقا؟ اللي هو التمانية ولا
+
+181
+00:14:04,170 --> 00:14:11,410
+لا؟ أه هي لما رتبناهم احنا هنا لألو رتبناهم كيف
+
+182
+00:14:11,410 --> 00:14:13,950
+هيطلعوها الواحد بعدين الاتنين بعدين الأربع بعدين
+
+183
+00:14:13,950 --> 00:14:18,450
+السبعة بعدين التمانية مظبوط بعدين التسعة العشرة
+
+184
+00:14:18,450 --> 00:14:24,250
+اتناش هدول هي كان مرتبين ففعلا فعلا التمانية هي ال
+
+185
+00:14:24,250 --> 00:14:28,250
+median جابلها اربع عناصر وبعدها اربع عناصر هدول
+
+186
+00:14:28,250 --> 00:14:33,490
+اكبر منها و هدول اصغر منها صح؟ طيب الان انا بدأ
+
+187
+00:14:33,490 --> 00:14:38,590
+افترض فرضا ان صدفةإنه الـ8 كان جاي هو أول answer
+
+188
+00:14:38,590 --> 00:14:42,830
+لما احنا أخدنا ال list في ال problem كانت كيف؟
+
+189
+00:14:42,830 --> 00:14:45,930
+بتحط محل الأربعة أو الأربعة محلها يعني التمانية
+
+190
+00:14:45,930 --> 00:14:51,250
+جاي هنا واحد و هنا عشرة و هنا تسعة و إيش سبعة و
+
+191
+00:14:51,250 --> 00:14:54,690
+اتناش و بعدين بتحط الأربعة و بعدين التنين و بعدين
+
+192
+00:14:54,690 --> 00:14:58,870
+الخمسة عشر لو اعطاني .. لو ال problem بدت على هذا
+
+193
+00:14:58,870 --> 00:15:01,950
+ال input و عملنا الكلام اللي قلناه اللي هو عملنا
+
+194
+00:15:01,950 --> 00:15:05,930
+ال partitioningعلى أساس الأولاني الأولاني هو الآن
+
+195
+00:15:05,930 --> 00:15:13,510
+التمانية إيش هيجوا؟ هيجوا اللي قبلها واحد ليش
+
+196
+00:15:13,510 --> 00:15:17,190
+اتنين؟ بدي أحطهم حسب ترتيبهم ما هم طالعين معاه هنا
+
+197
+00:15:17,190 --> 00:15:23,870
+الأربع، التنين، التمانية، بعدين مين؟ أنا مش معنى
+
+198
+00:15:23,870 --> 00:15:27,470
+الآن إن هدول يكونوا مرتبين كل اللي معنيه يبقوا إن
+
+199
+00:15:27,470 --> 00:15:33,290
+هم يكونوا أقل من ال pivot والتانين أكبر منهعشرة
+
+200
+00:15:33,290 --> 00:15:39,870
+بنفس ترتيب ورودهم في الأصل خمس عشرة حلو؟ الآن هنا
+
+201
+00:15:39,870 --> 00:15:48,230
+S كده بتساوي؟ S Zero
+
+202
+00:15:48,230 --> 00:15:56,010
+واحد اتنين تلاتة اربع تمام؟
+
+203
+00:15:56,010 --> 00:16:01,610
+طبق نفس اللي حكينا ان ال S بتساوي K نقص
+
+204
+00:16:05,010 --> 00:16:09,470
+الان لأنه صدفت التمانية اللي هي ال medium الحقيقي
+
+205
+00:16:09,470 --> 00:16:15,430
+لأنها صدفت كانت أول عنصر وبالتالي لما عملنا ال
+
+206
+00:16:15,430 --> 00:16:21,810
+partitioning عجت في الموضع اللي هو الموضع خمسة
+
+207
+00:16:21,810 --> 00:16:26,370
+الموضع
+
+208
+00:16:26,370 --> 00:16:30,480
+أربعة اللي هو خمسة نقص واحدفهذا صدفت أنه طلع معانا
+
+209
+00:16:30,480 --> 00:16:37,720
+ال medium من أول partition لو .. لو لأ زي هنا ال
+
+210
+00:16:37,720 --> 00:16:42,680
+median .. الأربع ماهاش ال median كيف أنا عرفت؟ لأن
+
+211
+00:16:42,680 --> 00:16:47,340
+ال rule بتقولي أن ال median هيكون على k نقص ..
+
+212
+00:16:47,340 --> 00:16:51,660
+هيكون ال S على k نقص واحد الان ال S على اتنين
+
+213
+00:16:51,660 --> 00:16:56,670
+فماشي تسوي؟بدي أقرر أخد هذه المجموعة أو هذه
+
+214
+00:16:56,670 --> 00:17:05,090
+المجموعة وأبحث فيها أقرر أخد مين؟ لأن S أصغر من K
+
+215
+00:17:05,090 --> 00:17:09,290
+نقص واحد لأن S أصغر من K نقص واحد فبدي أقارن بالي
+
+216
+00:17:09,290 --> 00:17:14,290
+بعد بدي أقارن بالي بعد إيش يعني؟ بدي أخد هدول الآن
+
+217
+00:17:14,290 --> 00:17:20,610
+و أدخلهم تاني على ال algorithm عشان تعمل نفس الشغل
+
+218
+00:17:20,610 --> 00:17:26,360
+وتعيد نفس الشغل عليهملا بديش ارتب انا اصلا بدي
+
+219
+00:17:26,360 --> 00:17:31,980
+اتجنب الترتيب من الاصل ايه
+
+220
+00:17:31,980 --> 00:17:42,420
+بداية؟ ايه بداية؟ هذا؟ اه مش مرتبينه الان انا أخدت
+
+221
+00:17:42,420 --> 00:17:45,720
+الأربع ك pivot وعملت ال partitioning صفت الأربع
+
+222
+00:17:45,720 --> 00:17:48,320
+على الموضوع هذا واللي قبلها أقل منها واللي بعدها
+
+223
+00:17:48,320 --> 00:17:53,920
+أكتر منها ايش الآن سؤالك؟أنا مارتبتش أنا هذا ..
+
+224
+00:17:53,920 --> 00:17:58,940
+هذا لأ هه أنا اسف فانزلهم بنفس ترتيبهم في ال ..
+
+225
+00:17:58,940 --> 00:18:03,520
+اللي هو العشرة كويس ملاحظتك والتسعة والسبعة
+
+226
+00:18:03,520 --> 00:18:10,500
+والاطنعاش والتمانية والخمستعش تمام؟ الاتنين
+
+227
+00:18:10,500 --> 00:18:15,480
+والواحد اترحل ورا وهدولة فضلوا بعد
+
+228
+00:18:19,410 --> 00:18:23,830
+بالظبط مش اللي بديها مش اللي بديها ال pivot أخدت
+
+229
+00:18:23,830 --> 00:18:29,170
+ال pivot وقارنته مع الباجين أي واحد أجل منه بيبجي
+
+230
+00:18:29,170 --> 00:18:37,450
+وراه الآن مرة أخرى بقول بما أن ال pivot هذا أجر في
+
+231
+00:18:37,450 --> 00:18:43,470
+موضوع موضوع لا يساوي كنقص واحد ليه مش هو اللي أنا
+
+232
+00:18:43,470 --> 00:18:48,320
+بديها اللي بديها موجود في مين في اللي بعدهفباخد
+
+233
+00:18:48,320 --> 00:18:52,880
+اللي بعده لان باخد اللي بعده ايش بسوي فيهم نفس
+
+234
+00:18:52,880 --> 00:18:56,580
+الاشي صار لان عندي ال list الجديدة تبعتي عشرة تسعة
+
+235
+00:18:56,580 --> 00:19:01,740
+سبعة اتناش تمانية خمستاشر الان هاخدهم برضه بنفس
+
+236
+00:19:01,740 --> 00:19:07,240
+الجثة انه هذا لان يصير ال pivot اجيب
+
+237
+00:19:07,240 --> 00:19:14,200
+اللي جابله اللي اصغر منه جابله لأ
+
+238
+00:19:14,200 --> 00:19:14,920
+والسبعة كمان
+
+239
+00:19:23,210 --> 00:19:27,010
+تمام؟ و أعيد العملية مرة أخرى حتي ما يتحقق هذا
+
+240
+00:19:27,010 --> 00:19:34,350
+الشرط خلّيني
+
+241
+00:19:34,350 --> 00:19:43,810
+أطلع عليها بشكل موضح هنا في slide هذه أوضحة شاشة
+
+242
+00:19:53,010 --> 00:19:56,890
+بدا أول شي تنتبه أنه ال algorithm شقين الشق الأول
+
+243
+00:19:56,890 --> 00:20:00,430
+اللي هو عملية ال partitioning والشق التاني اللي هو
+
+244
+00:20:00,430 --> 00:20:05,950
+عملية المقارنة ال K نقص واحد مع ال S إذا كانت
+
+245
+00:20:05,950 --> 00:20:11,130
+المقارنة إذا بتساوى خلاص بننهي إذا لا يتساوى
+
+246
+00:20:11,130 --> 00:20:15,670
+بنطلعهم أكبر أو أصغر وبنكررOkay فالشق الأولى اللي
+
+247
+00:20:15,670 --> 00:20:19,250
+هو ال partitioning هذا الآن بوضح ال partitioning
+
+248
+00:20:19,250 --> 00:20:25,010
+ايش اللي بيحصل هاي ال list الأصلية 4,1,10,8,7,12,9
+
+249
+00:20:25,010 --> 00:20:28,650
+في ال iteration الأولى لإن في عندي pointer ال S
+
+250
+00:20:28,650 --> 00:20:32,790
+بيقشر على البداية وفي عندي pointer I اللي بيلف على
+
+251
+00:20:32,790 --> 00:20:40,130
+العناصر تمام لما بجف على عنصر في ال I أصغر من ال
+
+252
+00:20:40,130 --> 00:20:46,220
+pivot لإن في عندي أنا ال P بيده تساوياللي هو A0
+
+253
+00:20:46,220 --> 00:20:51,760
+اللي هو A4 اذا وانا في ال I وانا موجه في ال I وجفت
+
+254
+00:20:51,760 --> 00:20:58,000
+على عنصر اقل من ال why اقل من ال pivot بدي اجيب ال
+
+255
+00:20:58,000 --> 00:21:03,000
+S يشاور على هذا العنصر
+
+256
+00:21:03,000 --> 00:21:06,780
+تمام؟
+
+257
+00:21:06,780 --> 00:21:15,700
+وطبعا اقدم ال Iيكمل .. يكمل .. يكمل .. يكمل ..
+
+258
+00:21:15,700 --> 00:21:23,640
+يكمل
+
+259
+00:21:23,640 --> 00:21:23,800
+.. يكمل .. يكمل .. يكمل .. يكمل .. يكمل .. يكمل ..
+
+260
+00:21:23,800 --> 00:21:23,820
+يكمل .. يكمل .. يكمل .. يكمل .. يكمل .. يكمل ..
+
+261
+00:21:23,820 --> 00:21:23,880
+يكمل .. يكمل .. يكمل .. يكمل .. يكمل .. يكمل ..
+
+262
+00:21:23,880 --> 00:21:23,940
+يكمل .. يكمل .. يكمل .. يكمل .. يكمل .. يكمل ..
+
+263
+00:21:23,940 --> 00:21:24,020
+يكمل .. يكمل .. يكمل .. يكمل .. يكمل .. يكمل ..
+
+264
+00:21:24,020 --> 00:21:34,640
+يكمل .. يكمل .. يكمل ..
+
+265
+00:21:36,370 --> 00:21:42,110
+بدّى للـ S زائد واحد اللي هي العشرة محل الـ I صح؟
+
+266
+00:21:42,110 --> 00:21:47,510
+أجت العشرة هنا محل الاتنين والاتنين أجت هنا صح؟
+
+267
+00:21:47,510 --> 00:21:51,770
+فهو هيستمر بعد ذلك هيكمل الـ I على الخمستاش خلاص
+
+268
+00:21:51,770 --> 00:21:56,230
+الخمستاش أخر واحدة وصل لأخر واحدة لما نكون وصلنا
+
+269
+00:21:56,230 --> 00:22:01,150
+هنا إيش الوضع اللي هندي ال pivot لسه جاعت مكان بس
+
+270
+00:22:01,150 --> 00:22:06,890
+إيش عمليا العواصر الصغيرة بتترسب للخلف للبدايةبقى
+
+271
+00:22:06,890 --> 00:22:10,150
+الأخر اشي بعد ما خلصنا و رصبنا كل ما يمكن ت
+
+272
+00:22:10,150 --> 00:22:15,870
+receive و رجعناه لوراه الآن بدنا ايش نسوي؟ بدنا
+
+273
+00:22:15,870 --> 00:22:19,950
+نجيب ال pivot في مكان ال S لأن ال S هذه هي ال
+
+274
+00:22:19,950 --> 00:22:23,530
+segmentation location هي منطقة الفصل ما بين ال two
+
+275
+00:22:23,530 --> 00:22:27,150
+partitions ال pivot بديجي على هذا المنطقة أجهة
+
+276
+00:22:27,150 --> 00:22:31,950
+الأربعة طبعا أجهة الأربعة بإنه عملنا swap ما بين
+
+277
+00:22:31,950 --> 00:22:38,070
+الأتنين والاربعةأه تيجي الأربع و برجع الأتنين أنا
+
+278
+00:22:38,070 --> 00:22:41,450
+مش معنى بإنه هدول يبقوا مرتبين هنا التنين جاي جبل
+
+279
+00:22:41,450 --> 00:22:43,730
+و الواحد مش معنى و هدول كذلك مش معنى انهم يبقوا
+
+280
+00:22:43,730 --> 00:22:48,510
+مرتبين فقالية ال partitioning هي هيك أنه هاي ال
+
+281
+00:22:48,510 --> 00:22:53,310
+algorithm ولا جبل قالية ال partitioning أنه احنا
+
+282
+00:22:53,310 --> 00:22:56,350
+بضلوا
+
+283
+00:22:56,350 --> 00:23:01,450
+هنا مكانه بنفر على الباقين أي واحد أصغر منه برجع
+
+284
+00:23:01,450 --> 00:23:07,540
+لورابرجع برجع لما نخوص نفعل من كلهم بعد كده ننجله
+
+285
+00:23:07,540 --> 00:23:14,740
+من مكانه إلى مكان اخر واحد فيهم في الصغار وانتهت
+
+286
+00:23:14,740 --> 00:23:17,960
+القصة الان هذا ال output تبعين هذا هو ال output
+
+287
+00:23:17,960 --> 00:23:24,700
+تبع عملية ال partitioning هذا الان ال output لأ
+
+288
+00:23:24,700 --> 00:23:30,840
+عمليا عملية ال partitioningأنا معنى بس بالـ S مش
+
+289
+00:23:30,840 --> 00:23:34,920
+هي ال S بت شاور هنا أنا معنى بهذا الموضوع بضطر على
+
+290
+00:23:34,920 --> 00:23:38,800
+الموضوع على ال S نفسها مش على اللي فيها على ال S
+
+291
+00:23:38,800 --> 00:23:44,000
+نفسها اللي هي الاتنين هل .. آسف اللي هي ايه نعم هي
+
+292
+00:23:44,000 --> 00:23:50,060
+بس اتنين يعني ال index اتنين هل الاتنين هذه هل
+
+293
+00:23:50,060 --> 00:23:56,110
+ال S يعنيتساوي K ناقص واحد K هذا هو ال value
+
+294
+00:23:56,110 --> 00:23:59,150
+المعطوق معطق إلى ال algorithm ك input أنه احنا ال
+
+295
+00:23:59,150 --> 00:24:04,390
+algorithm بديها تطلعي ال
+
+296
+00:24:04,390 --> 00:24:11,470
+rank خمسة العنصر رقم خمسة الترتيب
+
+297
+00:24:11,470 --> 00:24:14,850
+الخمسة في الترتيب التصاعدي الخمسة في الترتيب
+
+298
+00:24:14,850 --> 00:24:19,150
+التصاعديلو قلنا لك K بيساوي واحد معناته الأول في
+
+299
+00:24:19,150 --> 00:24:22,750
+الترتيب الصغير يعني الأصغر كي بيساوي N واضحة فإذا
+
+300
+00:24:22,750 --> 00:24:28,630
+هذا متحقق إذا S متحقق لأ مش متحقق عندي اتنين و هنا
+
+301
+00:24:28,630 --> 00:24:32,710
+K ناقص واحد بيساوي أربعة مش متحقق فبروح بكرر
+
+302
+00:24:32,710 --> 00:24:39,570
+العملية على مين؟ على الباقين باخدهم okay بس بدك
+
+303
+00:24:39,570 --> 00:24:44,570
+تنتبهي عالي لشغل أخرى اللي هي أنه أنا ال L في عندي
+
+304
+00:24:44,570 --> 00:24:45,390
+حاجة اسم ال L
+
+305
+00:24:49,980 --> 00:24:57,160
+للـ left و ال right ال left تشير إلى أول عنصر في
+
+306
+00:24:57,160 --> 00:25:01,200
+ال list و ال R تشير إلى أخر عنصر ال L في البداية
+
+307
+00:25:01,200 --> 00:25:05,280
+بيساوي Zero و ال R بيساوي تمانية اللي هو N نقص
+
+308
+00:25:05,280 --> 00:25:12,240
+واحد لما أنا أصل هنا و ألاقي أن الشرط هذا مش متحقق
+
+309
+00:25:12,240 --> 00:25:16,020
+و أأخذ الشق هذا و أشتغل عليه في ال iteration اللي
+
+310
+00:25:16,020 --> 00:25:23,530
+بيعنيتك ال L بتصير إيش؟يصير هذا الارض
+
+311
+00:25:23,530 --> 00:25:33,210
+يظل زي ما هو خلّيني
+
+312
+00:25:33,210 --> 00:25:37,130
+نطلع على ال algorithm two algorithms بنا نطلع على
+
+313
+00:25:37,130 --> 00:25:39,850
+الأولى اللي هي تبع ال partitioning لحاله والتانى
+
+314
+00:25:39,850 --> 00:25:45,130
+اللي هي بتستدعي الأولى بتستدعي ال partitioning
+
+315
+00:25:45,130 --> 00:25:48,090
+ونروح فوق
+
+316
+00:26:14,600 --> 00:26:18,560
+Hi Okay والتاني اللي هي ال quick
+
+317
+00:26:22,460 --> 00:26:29,340
+Select Quick Select بتستدعي اللوموتو جلبتهم انا
+
+318
+00:26:29,340 --> 00:26:34,800
+هدوله لوموتو
+
+319
+00:26:34,800 --> 00:26:40,380
+تمام هذه دبعت ال partitioning فقط فهي بدأت تاخد ال
+
+320
+00:26:40,380 --> 00:26:46,320
+array a sub array defined
+
+321
+00:26:46,320 --> 00:26:50,350
+by its left and right indices LORالـ output
+
+322
+00:26:50,350 --> 00:26:53,210
+بتعطيني partition بتعطيني نفس ال array بس
+
+323
+00:26:53,210 --> 00:26:57,270
+partitioned و ال position تبع مين ال pivot اللي هو
+
+324
+00:26:57,270 --> 00:27:02,550
+ال S ال S هي ال position تبعت ال pivot فأول إشي
+
+325
+00:27:02,550 --> 00:27:10,710
+بتاخد خلينا ناخد العماصر نفسهم عشان نتبعها حد
+
+326
+00:27:10,710 --> 00:27:18,570
+تفكرهم هيتهم الأربعة الواحد العشرة التمانية السبعة
+
+327
+00:27:19,220 --> 00:27:35,480
+12 9 2 15 okay فمبدأيا ال algorithm بدها في
+
+328
+00:27:35,480 --> 00:27:37,960
+أندفع الرابو اللي هو ال P اللي هو ال pivot بساوي
+
+329
+00:27:37,960 --> 00:27:44,710
+العنصر المشهر إليه ب L اللي هو أول واحد صح؟وهذا ال
+
+330
+00:27:44,710 --> 00:27:51,070
+value يبقى ثابت مش هيتغير هلف عليهم كلهم و هو هو
+
+331
+00:27:51,070 --> 00:27:55,750
+ال P بساوية أربعة مظبوط على كده ده ال ال هذي بقى
+
+332
+00:27:55,750 --> 00:28:00,210
+مش واحد ده ال ال هذي ال واحد لأن I في عندي I لأ
+
+333
+00:28:00,210 --> 00:28:07,350
+جاب ال S بشور على مين على ال هو هذا ال أصلا صح
+
+334
+00:28:07,350 --> 00:28:12,710
+وهذا R S
+
+335
+00:28:13,520 --> 00:28:22,600
+بساوي L ال I بيبدأ من علين L زايد واحد هاي ال I L
+
+336
+00:28:22,600 --> 00:28:26,080
+زايد واحد صح؟ بياخد العناصر كلهم بعد ال pivot و
+
+337
+00:28:26,080 --> 00:28:32,760
+يلف عليهم لغاية ال R إيش بده يتطلع؟ هل العنصر اللي
+
+338
+00:28:32,760 --> 00:28:39,600
+أنا واجه عليه أصغر من ال P؟ إذا أصغر إيش بيسوي؟
+
+339
+00:28:39,600 --> 00:28:45,550
+إذا أصغر بيعمل حاجتينالأولى انه بيحرك ال S الحين
+
+340
+00:28:45,550 --> 00:28:51,590
+أصغر صح ال واحد أصغر من الأربع مظبوط؟ بيحرك ال S
+
+341
+00:28:51,590 --> 00:28:55,750
+بيصير تشاور على مين؟ على S زائد واحد بيقدمها ..
+
+342
+00:28:55,750 --> 00:29:01,290
+بيقدمها خطوة واحدة بعدين بيعمل swap ما بين ال S و
+
+343
+00:29:01,290 --> 00:29:05,890
+ال I لأن هنا إيش عامل swap ما بين هد و هد؟ هم و
+
+344
+00:29:05,890 --> 00:29:09,550
+نفسهم اللي عاملوا الصورة فعمليا ال swap هدي مش
+
+345
+00:29:09,550 --> 00:29:13,620
+هيتغير أي حاجةبس جدّام كمان شوية حين ما نيجي نحرك
+
+346
+00:29:13,620 --> 00:29:21,680
+الاتنين بتغير okay عشان ال N هو في البداية جاية
+
+347
+00:29:21,680 --> 00:29:26,580
+صدفت أن هذا أول أنصر بعد الأربعة جدّام هنشوف أن
+
+348
+00:29:26,580 --> 00:29:31,620
+هذه العملية swap A أسمع AI هم نفسهم ال I و ال S
+
+349
+00:29:31,620 --> 00:29:36,420
+نفس الأنصر فإما swap مش هيغير حاجة طيب إيش هسوي
+
+350
+00:29:36,420 --> 00:29:38,300
+بعد هيك بتدرجة
+
+351
+00:29:41,880 --> 00:29:46,680
+على الـ Next I أقدّم الـ I الحينها دي برا اللوب
+
+352
+00:29:46,680 --> 00:29:55,220
+صح؟ ال Next I عشرة أقارنها بمين؟ AI أقارنها بال P
+
+353
+00:29:55,220 --> 00:30:01,700
+لأ مش أصغر بسويش ولا حاجة صح؟ برجع تاني ال Next I
+
+354
+00:30:01,700 --> 00:30:10,610
+تمام؟برضه برضه اك .. مش اصغر برضه مش اصغر برضه مش
+
+355
+00:30:10,610 --> 00:30:15,050
+اصغر صح لغاية الاتنين الان الاتنين هذه ال S لسه
+
+356
+00:30:15,050 --> 00:30:19,010
+جاله ماتحركتش لغاية الاتنين الاتنين اه والله اصغر
+
+357
+00:30:19,010 --> 00:30:26,310
+يبقى لان ايش بسويه بقدم ال S بس خط واحدة و بعمل
+
+358
+00:30:26,310 --> 00:30:32,970
+swap الان بين العشرة والاتنين صح؟
+
+359
+00:30:33,690 --> 00:30:36,810
+الان هذه الـ swap هي عملية الترسيب اللي انا طوا
+
+360
+00:30:36,810 --> 00:30:43,470
+حكيت بنرسب من الصغار لورا و بنكمل ال I ال I الان
+
+361
+00:30:43,470 --> 00:30:52,210
+بتستمر لغاية R for I L زي 1 and R وصلت لهنا دخلت
+
+362
+00:30:52,210 --> 00:30:58,270
+خشت قارنت اكبر ماعملتش ولا حاجة اطلع هنا لما بنطلع
+
+363
+00:30:58,270 --> 00:31:04,220
+من ال loop بيجي دور ال swap هذه اللي هي ايشبدي الـ
+
+364
+00:31:04,220 --> 00:31:07,660
+AL أبدله مع الـ S وين الـ S بتشاور هنا وين ال AL
+
+365
+00:31:07,660 --> 00:31:15,360
+هيتها؟ الأتنين والأربعة أجت الأن الأربعة ما بين
+
+366
+00:31:15,360 --> 00:31:21,720
+اللي أصغر منها و اللي أكبر منها نعم؟ نعم فالأن هذا
+
+367
+00:31:21,720 --> 00:31:26,740
+الكلام لما أناجي في ال iteration اللي بعد هستدريها
+
+368
+00:31:26,740 --> 00:31:32,100
+عالمين على هذه الأن ال L الجديدة بعد ما أقارن
+
+369
+00:31:33,150 --> 00:31:39,270
+وألاقي أن S تساوي 2 وأنا ببحث عن S تساوي K ناقص
+
+370
+00:31:39,270 --> 00:31:43,190
+واحد اللي هي أربعة وهذا لا يساوي فأنا بدي أخد مين؟
+
+371
+00:31:43,190 --> 00:31:46,570
+بدي أخد هدولة بدي أخد هدولة هي الـL الجديدة والـR
+
+372
+00:31:46,570 --> 00:31:51,410
+زي ما هي خلّي بالك الـL هنا أصبح .. هنا كانت Zero
+
+373
+00:31:51,410 --> 00:31:54,030
+هنا إيش صارت؟ واحد، اتنين، تلاتة .. Zero واحد،
+
+374
+00:31:54,030 --> 00:32:01,300
+اتنين، تلاتة بظبط؟هدخل نفس الـ array كلها بس هقوله
+
+375
+00:32:01,300 --> 00:32:05,980
+ابدأ شغلك لل partition هقولها ابدأ من عند L تلاتة
+
+376
+00:32:05,980 --> 00:32:10,160
+L بتصبح تلاتة لغاية R اللي هي تمانية R بتصبح
+
+377
+00:32:10,160 --> 00:32:14,040
+تمانية okay
+
+378
+00:32:14,040 --> 00:32:18,920
+فال algorithm اللي
+
+379
+00:32:18,920 --> 00:32:21,440
+هي ال quick select اللي بتستدعي ال partitioning
+
+380
+00:32:21,440 --> 00:32:26,000
+ايش بتسوي اول
+
+381
+00:32:26,000 --> 00:32:29,750
+حاجة بتروح تستدعي ال partitionوبتاخد منها ال
+
+382
+00:32:29,750 --> 00:32:33,510
+output تبعها طبعا كل الشغل على ال array in place
+
+383
+00:32:33,510 --> 00:32:36,390
+يعني ال array بتظلها هي هي بتغيروا العناصر اللي
+
+384
+00:32:36,390 --> 00:32:39,590
+جواتها بس مابننسخش منها على array تانية يعني
+
+385
+00:32:42,900 --> 00:32:45,940
+بتعمل ال partitioning وبعدين بترجع لي ال pointer S
+
+386
+00:32:45,940 --> 00:32:49,800
+باخد ال S هل ال S بيساوي K نقص واحد إذا نعم خلاص
+
+387
+00:32:49,800 --> 00:32:55,800
+الانصر اللي جاعد على S جاعد في S هو المطلوب وإلا
+
+388
+00:32:55,800 --> 00:33:04,560
+إذا S أكبر من L لازم أخد L الآن في الإعتبار L زائد
+
+389
+00:33:04,560 --> 00:33:11,320
+K نقص واحد ال L في البداية Zero فأصبحفي البداية
+
+390
+00:33:11,320 --> 00:33:17,340
+كنت بقول إذا S أكبر من K نقص واحد إذا S أكبر من K
+
+391
+00:33:17,340 --> 00:33:22,140
+نقص و بدأ أخد نص
+
+392
+00:33:22,140 --> 00:33:33,320
+الأولاني نصبوت؟ إذا S بتساوي خمسة و أنا بدي أربعة
+
+393
+00:33:33,320 --> 00:33:37,120
+و بدأ أخد نص الأولاني فببدأ من عند L
+
+394
+00:33:41,320 --> 00:33:49,260
+اللي عند S نقص واحد هاي S بدي اخد هدول اتنين هدا E
+
+395
+00:33:49,260 --> 00:33:55,020
+زي S أكبر بدي اخد من L ل S نقص واحد وإلا بدي اخد
+
+396
+00:33:55,020 --> 00:34:03,060
+من S زائد واحد هدا مش S زائد واحد لغاية R وإلا بدي
+
+397
+00:34:03,060 --> 00:34:10,500
+اخد من S زائد واحد لغاية R تمام؟
+
+398
+00:34:19,870 --> 00:34:26,650
+Okay و لازم برضه كمان اعدل ال K لأنه
+
+399
+00:34:26,650 --> 00:34:32,470
+ال K في الآخر هنا لما انا اشتغل هنا سيطلع ال S
+
+400
+00:34:32,470 --> 00:34:37,850
+مثلا يساوي سبعة افترض ان S هذه التمانية الان هتيجي
+
+401
+00:34:37,850 --> 00:34:42,490
+هذه K في الان لما اخدها في ال next iteration هتدخل
+
+402
+00:34:42,490 --> 00:34:46,870
+هذه ال array صح؟ ايش نتيجة ال partitioning لهذه؟
+
+403
+00:34:47,720 --> 00:34:51,280
+هذه الثمانية هي ال pivot صح؟ من اللي أصغر منها؟ بس
+
+404
+00:34:51,280 --> 00:34:58,020
+السبعة صح؟ هتيجي هي و بعدين التسعة و بعدين العشرة
+
+405
+00:34:58,020 --> 00:35:02,040
+و بعدين الأتناش و بعدين الخمستاش okay الآن إيش
+
+406
+00:35:02,040 --> 00:35:06,220
+اللي هيطلع ال S؟
+
+407
+00:35:06,220 --> 00:35:09,540
+اتذكر إنه احنا بنشتغل على القرية هي هي يعني
+
+408
+00:35:09,540 --> 00:35:18,480
+ماتنسيش من هدولة ايوةيعني هدا Zero، هدا One، هدا
+
+409
+00:35:18,480 --> 00:35:21,300
+Two، هدا تلاتة، هدا أربعة، هدا خمسة، هدا ستة، هدا
+
+410
+00:35:21,300 --> 00:35:36,000
+سبعة، هدا تمانية، صح؟ فـ S هنا هتطلع أربعة صح؟
+
+411
+00:35:36,000 --> 00:35:40,380
+صح؟
+
+412
+00:35:40,380 --> 00:35:45,070
+فانا لازم أدخل هذا الـ S في الحسبانعشان لما أقارن
+
+413
+00:35:45,070 --> 00:35:52,550
+أقارن طلبها المقارنة الصحيحة حكون K هي خمسة ناقص
+
+414
+00:35:52,550 --> 00:35:56,790
+واحد ناقص إيش ال S الجبل اللي هي اتنين صح؟
+
+415
+00:36:26,600 --> 00:36:32,620
+K نقص واحد نقص S S كانت اتنين فالان هو بده يقارن
+
+416
+00:36:32,620 --> 00:36:36,700
+العنصر اللي هيطلع معاه في الآخر اللي هو هيطلع
+
+417
+00:36:36,700 --> 00:36:43,960
+التمانية تمانية جاية على جداش على أربعة لأ هي لازم
+
+418
+00:36:43,960 --> 00:36:51,240
+المفروض تظلهاصح هيك الترتيب هدولة الباجين سبعة
+
+419
+00:36:51,240 --> 00:36:56,560
+تمانية التمانية هي ال pivot هيجي اللي جابلها بس مش
+
+420
+00:36:56,560 --> 00:37:01,520
+غير السبعة وتيجي هي وبعدين الباجين الآن هذا ايش
+
+421
+00:37:01,520 --> 00:37:07,500
+الموضوع؟ الموضوع رقم أربعة صح؟ الموضوع رقم أربعة
+
+422
+00:37:07,500 --> 00:37:13,060
+okay طيب
+
+423
+00:37:13,060 --> 00:37:20,000
+ال partition ايش؟هتطلّي عليه هتطلّي عليه S
+
+424
+00:37:20,000 --> 00:37:28,260
+بالساوية أربعة S بالساوية أربعة و هنقارنه مع مين؟
+
+425
+00:37:28,260 --> 00:37:34,940
+هنقارنه مع مين؟ مع
+
+426
+00:37:34,940 --> 00:37:38,780
+الإتنين؟
+
+427
+00:37:43,720 --> 00:37:47,440
+هذه الـ S أول iteration هي الـ value تبعها 2
+
+428
+00:37:47,440 --> 00:37:54,180
+مظبوط؟ لما نستدعي الـ iteration اللي جاية هنقول ..
+
+429
+00:37:54,180 --> 00:37:59,540
+هنعطيها ال array من عند S زائد 1 اللي هي العنصر
+
+430
+00:37:59,540 --> 00:38:06,680
+هذا لغاية
+
+431
+00:38:06,680 --> 00:38:15,810
+ايش؟ لغاية ايش؟ R اللي هي 8و هنقولها بدى العنصر
+
+432
+00:38:15,810 --> 00:38:22,330
+اللى ال rank تبعه k نقص واحد نقص
+
+433
+00:38:22,330 --> 00:38:31,730
+S كي خمسة نقص واحد نقص اتنين يعني اتنين okay هذا
+
+434
+00:38:31,730 --> 00:38:35,250
+ال problem الان او هذا الشغل الان كيف هيكون شكله
+
+435
+00:38:35,250 --> 00:38:41,650
+هيكون عندى ال array هذه هنعمل تلاتة لتمانية
+
+436
+00:38:44,600 --> 00:38:53,700
+صح؟ و بدى rank اتنين بدى
+
+437
+00:38:53,700 --> 00:39:01,240
+rank اتنين صح؟
+
+438
+00:39:01,240 --> 00:39:06,560
+طيب rank اتنين اللى هنقش ال list ده اللى .. اللى
+
+439
+00:39:06,560 --> 00:39:10,160
+.. التانى هسويه هي بعد ما انعمل ال partitioning
+
+440
+00:39:10,160 --> 00:39:15,380
+هتبجى التمانى اجت هنا على اربعةوالثلاثة أجت هنا
+
+441
+00:39:15,380 --> 00:39:19,820
+والسبعة أجت هنا ال S إيش ال value تبعها هيكون ال S
+
+442
+00:39:19,820 --> 00:39:27,940
+بيساوي أربعة صح؟ صح؟ بعد ما ينعمل partitioning
+
+443
+00:39:27,940 --> 00:39:32,800
+لهذه الصغيرة هتكون السبعة أجت هنا والتمانية أجت
+
+444
+00:39:32,800 --> 00:39:35,740
+هنا هي بالاصل ماكنوش بالاصل كان التمانية في الأول
+
+445
+00:39:35,740 --> 00:39:39,350
+والسبعة بعدهاهتيجي التمانية هنا والسبعة هنا لأن
+
+446
+00:39:39,350 --> 00:39:48,350
+هذا ال location هو عبارة عن ايش؟ أربعة الآن هنخش
+
+447
+00:39:48,350 --> 00:39:57,450
+نقارن S اللي هي أربعة S بالسبع أربعة مع K ناقص
+
+448
+00:39:57,450 --> 00:40:03,830
+واحد K دخلت كم؟ اتنين
+
+449
+00:40:08,200 --> 00:40:16,040
+K نقص واحد سوى واحد كالتانية
+
+450
+00:40:16,040 --> 00:40:19,980
+كالتانية مش تبقى الاستدعاء الاول الاستدعاء الاول
+
+451
+00:40:19,980 --> 00:40:25,760
+كانت خمسة الاستدعاء التاني دخلت اتنين okay اللي
+
+452
+00:40:25,760 --> 00:40:32,160
+يعني يفترض انه احنا ال S هذه ال S هذه ماتطلعش اربع
+
+453
+00:40:32,160 --> 00:40:35,620
+تطلع واحد يعني بمعنى انه ال pointer هذا
+
+454
+00:40:38,770 --> 00:40:45,610
+يبدأ من الـ Zero وهي Zero وهي واحد فال S تطلع واحد
+
+455
+00:40:45,610 --> 00:40:54,290
+في هذه الحالة ال S بتساوي K نقص واحد فبتجه في
+
+456
+00:40:54,290 --> 00:40:59,850
+العملية مصبوط لأنه بيكون لجين التمانية على الموضوع
+
+457
+00:40:59,850 --> 00:41:04,010
+ماشي
+
+458
+00:41:06,740 --> 00:41:10,400
+طيب هنا وين ال .. وين ال .. ال variable size في
+
+459
+00:41:10,400 --> 00:41:13,140
+الموضوع؟ كمان احنا بنقول هذه ال algorithm variable
+
+460
+00:41:13,140 --> 00:41:19,080
+size decrease decrease، تناقص بحجم متبين، بأحجام
+
+461
+00:41:19,080 --> 00:41:24,300
+متبينة واضحة جدا لإن احنا في الأول كان عندي كل ال
+
+462
+00:41:24,300 --> 00:41:29,700
+.. كل المجموعة، كل الأرين بعدين أخدنا من تمانية
+
+463
+00:41:29,700 --> 00:41:36,200
+لخمستاشر، بعدينربما ناخد اشي اصغر ربما ناخد النص
+
+464
+00:41:36,200 --> 00:41:42,700
+ربما ناخد اقل من النص فمافيش ratio ثابت بيتناقص
+
+465
+00:41:42,700 --> 00:41:48,700
+ابو ال input المثال
+
+466
+00:41:48,700 --> 00:41:55,240
+التالت احنا الآن لما ن .. هنا في ال .. في ال
+
+467
+00:41:55,240 --> 00:41:59,660
+select هذه ال problem او في ال search لما بنعمل
+
+468
+00:41:59,660 --> 00:42:04,820
+binary search problemلو نعمل buy and search بيكون
+
+469
+00:42:04,820 --> 00:42:09,240
+في عندي أنا ال array مرتبة ال array مرتبة و عندي
+
+470
+00:42:09,240 --> 00:42:14,780
+value V ال V هذا بتبحث عنه في ال array فبروح على
+
+471
+00:42:14,780 --> 00:42:19,560
+منتصف ال array بقارن إذا هو هيته هو و انت هنا إذا
+
+472
+00:42:19,560 --> 00:42:23,440
+ال value اللي معايا أكبر من ال value اللي في نص ال
+
+473
+00:42:23,440 --> 00:42:28,340
+array برجع لغاية ببحث في النص الأولاني نص الأولاني
+
+474
+00:42:28,340 --> 00:42:33,740
+يعني N على 2 وإلا إذا ال value اللي معاياأكبر من
+
+475
+00:42:33,740 --> 00:42:37,380
+ال .. هذا بروح بلاور في نص التاني و في كل مرة بعمل
+
+476
+00:42:37,380 --> 00:42:41,840
+هذا هذا decrease by half هذا decrease by half طيب
+
+477
+00:42:41,840 --> 00:42:44,260
+انا ليش دايما اعمل decrease by half؟ طب ليش انا
+
+478
+00:42:44,260 --> 00:42:47,500
+ماتطلع على ال value اللي معايا؟ بما انه ال array
+
+479
+00:42:47,500 --> 00:42:52,340
+مرتبة لربما ان ال value .. لو طلعت على قيمته لربما
+
+480
+00:42:52,340 --> 00:42:56,360
+يكون انا اقدر اروح .. لو روحت على اخر ال array
+
+481
+00:42:56,360 --> 00:43:01,780
+أجيه هناك أسرعأو إذا هو قيمته صغيرة، لو أنا روحت
+
+482
+00:43:01,780 --> 00:43:05,860
+على أو بداية الـRA، أجيه هناك بشكل أصل، يعني زي ما
+
+483
+00:43:05,860 --> 00:43:08,680
+أحنا بندور في القموس، لو أنا بدور على كلمة بتبدأ
+
+484
+00:43:08,680 --> 00:43:12,940
+بحرف الـB، بمسكش القموس من نصه ولا من آخره، بمسكه
+
+485
+00:43:12,940 --> 00:43:16,020
+من البداية، لأن الـB في بداية الأبجدية، ولو بدور
+
+486
+00:43:16,020 --> 00:43:20,240
+على كلمة بتبدأ بحرف مثلا الـS أو الـQ، باخد القموس
+
+487
+00:43:20,240 --> 00:43:26,430
+من آخرها، صح؟فهذا ممكن يكون ان انا اروح على
+
+488
+00:43:26,430 --> 00:43:31,090
+الموضوع في ال array اللي أقرب لل value اللي معايا
+
+489
+00:43:31,090 --> 00:43:37,570
+يمكن يكون أسرع هذا ال interpolation search بيتمت
+
+490
+00:43:37,570 --> 00:43:41,130
+على الفكرة هذه ان احنا عندي لو انا بده اطلق لو انا
+
+491
+00:43:41,130 --> 00:43:46,630
+عندي ال arrayهيّاتها وهدول ايش ال indices واحد
+
+492
+00:43:46,630 --> 00:43:51,630
+اتنين تلاتة اربع خمسة ستة سبعة في value اخر اقول
+
+493
+00:43:51,630 --> 00:43:55,030
+مثلا خمستاشر تمانية لان لو انا بدي اعمل رسم بياني
+
+494
+00:43:55,030 --> 00:43:59,190
+ما بين ال index و بين ال value يعني على ال X axis
+
+495
+00:43:59,190 --> 00:44:05,940
+بدي احط ال indexهي one هي two لغاية ايش تمانية على
+
+496
+00:44:05,940 --> 00:44:11,340
+ال Y بحط ال value المخزن يعني ال zero فيها اتنين
+
+497
+00:44:11,340 --> 00:44:21,040
+ال واحد فيها واحد ال اتنين فيها اربعة خلينا
+
+498
+00:44:21,040 --> 00:44:23,660
+نرتبهم في الأول لازم نكون مرتبين في الأول واحد
+
+499
+00:44:23,660 --> 00:44:29,820
+اتنين اربعة سبعة تمانية بعدين تسعة بعدين اتناشر
+
+500
+00:44:29,820 --> 00:44:34,830
+عشرةبعدين 12 وبعدين 15 فالـ zero عليها واحد
+
+501
+00:44:34,830 --> 00:44:38,610
+والواحد
+
+502
+00:44:38,610 --> 00:44:43,510
+عليها اتنين فبما انهم مرتبين فهيبقى هذا ايش تصعدي
+
+503
+00:44:43,510 --> 00:44:48,270
+مش ضرورة straight line المهم تصعدي ماشي الحال فانا
+
+504
+00:44:48,270 --> 00:44:53,010
+بدي اعتمد على هذا الاساس انه والله اذا انا بدور
+
+505
+00:44:53,010 --> 00:44:59,010
+على ال value وال value هذا قريب من اول عنصر في ال
+
+506
+00:44:59,010 --> 00:45:04,240
+arrayهيبقى بروح أدور في المجموعة هذه بقيت بروح
+
+507
+00:45:04,240 --> 00:45:10,280
+أدور في الآخرحسب قيمته فهذا ال formula بتعطيني
+
+508
+00:45:10,280 --> 00:45:14,820
+مؤشر ال random axis على طول مباشر على من وين أبدأ
+
+509
+00:45:14,820 --> 00:45:19,200
+مش هبدأ من النص زي في ال binary search مش هبدأ في
+
+510
+00:45:19,200 --> 00:45:23,040
+النص هبدأ من الموضوع حسب ما بتأشر لهذه هذه عبارة
+
+511
+00:45:23,040 --> 00:45:29,520
+عن إيش V ناقص AL هذه V وهذه AL هذه المسافة هي V
+
+512
+00:45:29,520 --> 00:45:35,060
+ناقص AL تمام؟
+
+513
+00:45:35,550 --> 00:45:46,890
+R-L هاي R وهاي L هاي R ناقص L فهدا
+
+514
+00:45:46,890 --> 00:45:58,550
+ضرب هدا على ايش AR هاي AR ناقص AL على هذا هذا ال
+
+515
+00:45:58,550 --> 00:46:05,210
+ratio بيعطيني جداش بالظبط ممكن ابتعد عنالـ L اللي
+
+516
+00:46:05,210 --> 00:46:10,610
+هو ال index تبقى أول عنصر كده أقفز وين أروح بالظبط
+
+517
+00:46:10,610 --> 00:46:15,470
+هذا ال ratio بيتمد على ال value اللي معاه إذا ال
+
+518
+00:46:15,470 --> 00:46:18,030
+value تبقى كبير هيبقى ال ratio كبير فهيبقى قفزة
+
+519
+00:46:18,030 --> 00:46:22,090
+بعيدة إذا ال value صغير هيبقى قفزة قريبة هروح على
+
+520
+00:46:22,090 --> 00:46:26,870
+العنصر اللي بالظبط ال X هنا عبارة عن ال index هروح
+
+521
+00:46:26,870 --> 00:46:31,660
+على عنصرمعايا أروح أقارن إذا العنصر هذا هو اللي
+
+522
+00:46:31,660 --> 00:46:35,780
+أنا بدور عليه كان بيها ماكانش فبروحيا باخد اللي
+
+523
+00:46:35,780 --> 00:46:38,720
+بعده أو اللي جابله على حسبي و لما أخد اللي بعده أو
+
+524
+00:46:38,720 --> 00:46:43,620
+اللي جابته بعيد نفس الحسبة هذه فهنا بيصير في عندي
+
+525
+00:46:43,620 --> 00:46:49,560
+أنا قفزة أسرع لأنه أنا قدرت المكان اللي بيروح عليه
+
+526
+00:46:49,560 --> 00:46:52,900
+بناء على ال value اللي معايا هذا طبعا على أساس ان
+
+527
+00:46:52,900 --> 00:46:55,960
+ال .. امرتبة sorted بالظبط
+
+528
+00:47:00,490 --> 00:47:03,550
+ممكن اقفز قفزة واسعة في الأول و في ال iteration
+
+529
+00:47:03,550 --> 00:47:09,010
+التانية تبقى قفزة صغيرة و ده وانا ايه اخر issue
+
+530
+00:47:09,010 --> 00:47:11,990
+اللي هو ال problem الاخير ال binary session هنسيبه
+
+531
+00:47:11,990 --> 00:47:16,650
+لمحاضرة جاية ال binary session و بعدها في أن ال
+
+532
+00:47:16,650 --> 00:47:23,370
+name game في عليها مسألة في ال exercises رقم عشرة
+
+533
+00:47:42,850 --> 00:47:46,950
+مطلوب منك تقري ال section أو الكلمتين اللي في
+
+534
+00:47:46,950 --> 00:47:51,630
+الكتاب عن هذه ال game و تفهميها و تحلي المسألة على
+
+535
+00:47:51,630 --> 00:47:54,430
+هذا الأساس يعبر عن مثال أخر ال variable size
+
+536
+00:47:54,430 --> 00:47:58,140
+decreaseأما هذا اللي هو ال binary search فانا بحكي
+
+537
+00:47:58,140 --> 00:48:00,540
+في المحاضرة اللي كنتين على السريع المحاضرة الجاي
+
+538
+00:48:00,540 --> 00:48:02,060
+ان شاء الله يعطيكم منافعة
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1b44b649b99f13b2f25cb7adc1af65c067d82837
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/6HKutEW7chw_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3858, "start": 20.84, "end": 38.58, "text": "بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف المرسلين اليوم ان شاء الله بنات بنكمل الحكي في ال decrease and conquer algorithms كنا غطينا ال decrease by a constant و ال decrease by a constant factor و اليوم ان شاء الله بنطلع على بعض الأمثلة اللي بتصنف علينا decrease", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 25894, 5551, 8592, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 16472, 13412, 16606, 21984, 4724, 8315, 2655, 44945, 24793, 1211, 21542, 4117, 1829, 8978, 2423, 11514, 293, 24136, 14642, 9122, 8315, 32771, 9566, 1829, 8315, 2423, 11514, 538, 257, 5754, 4032, 2423, 11514, 538, 257, 5754, 5952, 4032, 45595, 20498, 16472, 13412, 16606, 21984, 44945, 9566, 1211, 3615, 15844, 45030, 11242, 16247, 2304, 12984, 37977, 13672, 1829, 39894, 9381, 1863, 5172, 25894, 8315, 11514], "avg_logprob": -0.11143543890544347, "compression_ratio": 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"probability": 0.968505859375}, {"start": 24.32, "end": 24.44, "word": " الله", "probability": 0.95654296875}, {"start": 24.44, "end": 24.82, "word": " بنات", "probability": 0.7001139322916666}, {"start": 24.82, "end": 25.86, "word": " بنكمل", "probability": 0.9601236979166666}, {"start": 25.86, "end": 27.32, "word": " الحكي", "probability": 0.8837890625}, {"start": 27.32, "end": 27.52, "word": " في", "probability": 0.9833984375}, {"start": 27.52, "end": 27.72, "word": " ال", "probability": 0.8251953125}, {"start": 27.72, "end": 28.2, "word": " decrease", "probability": 0.7744140625}, {"start": 28.2, "end": 29.02, "word": " and", "probability": 0.91064453125}, {"start": 29.02, "end": 29.52, "word": " conquer", "probability": 0.97412109375}, {"start": 29.52, "end": 30.22, "word": " algorithms", "probability": 0.82275390625}, {"start": 30.22, "end": 30.58, "word": " كنا", "probability": 0.898681640625}, {"start": 30.58, "end": 31.6, "word": " غطينا", "probability": 0.9715576171875}, 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largest مظبوط؟ لو قلتلك اعطيني K بساوي تلاتة يعني تالت اصغر عنصر", "tokens": [2655, 15042, 2304, 6156, 7649, 995, 5296, 15042, 4724, 39648, 4117, 3048, 9154, 29538, 2423, 1329, 18863, 1863, 9381, 2288, 591, 4724, 3794, 995, 45865, 16490, 2304, 3794, 3660, 37495, 22653, 3048, 2423, 26779, 45164, 12174, 1211, 2655, 23275, 3048, 9154, 29538, 2423, 1329, 18863, 1863, 9381, 2288, 591, 4724, 3794, 995, 45865, 36764, 24401, 37495, 22653, 1975, 3615, 9566, 9957, 1829, 2423, 16998, 45164, 12174, 1211, 2655, 23275, 1975, 3615, 9566, 9957, 1829, 591, 4724, 3794, 995, 45865, 426, 37495, 22653, 1975, 3615, 9566, 9957, 1829, 2423, 6443, 3714, 19913, 3555, 2407, 9566, 22807, 45164, 12174, 1211, 2655, 23275, 1975, 3615, 9566, 9957, 1829, 591, 4724, 3794, 995, 45865, 6055, 1211, 9307, 3660, 37495, 22653, 6055, 6027, 2655, 1975, 9381, 17082, 2288, 18871, 9381, 2288], "avg_logprob": -0.13041339098937868, "compression_ratio": 2.231578947368421, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 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"end": 390.4, "word": " N", "probability": 0.68896484375}, {"start": 390.4, "end": 391.46, "word": " يعني", "probability": 0.9814453125}, {"start": 391.46, "end": 391.8, "word": " اعطيني", "probability": 0.9798828125}, {"start": 391.8, "end": 391.92, "word": " ال", "probability": 0.92919921875}, {"start": 391.92, "end": 392.44, "word": " largest", "probability": 0.94970703125}, {"start": 392.44, "end": 393.96, "word": " مظبوط؟", "probability": 0.764892578125}, {"start": 393.96, "end": 394.02, "word": " لو", "probability": 0.95556640625}, {"start": 394.02, "end": 394.26, "word": " قلتلك", "probability": 0.9766845703125}, {"start": 394.26, "end": 394.6, "word": " اعطيني", "probability": 0.97705078125}, {"start": 394.6, "end": 394.94, "word": " K", "probability": 0.96728515625}, {"start": 394.94, "end": 395.4, "word": " بساوي", "probability": 0.9693603515625}, {"start": 395.4, "end": 396.08, "word": " تلاتة", "probability": 0.91943359375}, {"start": 396.08, "end": 396.84, "word": " يعني", 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0.9866536458333334}, {"start": 419.68, "end": 419.86, "word": " أو", "probability": 0.970703125}, {"start": 419.86, "end": 420.42, "word": " الأصغر", "probability": 0.996337890625}, {"start": 420.42, "end": 420.62, "word": " أو", "probability": 0.96435546875}, {"start": 420.62, "end": 420.94, "word": " تالت", "probability": 0.9895833333333334}, {"start": 420.94, "end": 421.34, "word": " أكبر", "probability": 0.9791666666666666}, {"start": 421.34, "end": 421.48, "word": " أو", "probability": 0.95751953125}, {"start": 421.48, "end": 421.72, "word": " تالت", "probability": 0.9930013020833334}, {"start": 421.72, "end": 422.06, "word": " أصغر", "probability": 0.992431640625}, {"start": 422.06, "end": 422.3, "word": " زي", "probability": 0.82080078125}, {"start": 422.3, "end": 422.54, "word": " هيك", "probability": 0.91455078125}, {"start": 422.54, "end": 422.98, "word": " okay", "probability": 0.435546875}, {"start": 422.98, "end": 424.58, "word": " هذا", "probability": 0.8154296875}, {"start": 424.58, "end": 425.04, "word": " الأمر", "probability": 0.941162109375}, {"start": 425.04, "end": 425.96, "word": " اختيار", "probability": 0.7728271484375}, {"start": 425.96, "end": 426.32, "word": " هذا", "probability": 0.9208984375}, {"start": 426.32, "end": 427.52, "word": " يشتمل", "probability": 0.84002685546875}, {"start": 427.52, "end": 427.84, "word": " ضمن", "probability": 0.98193359375}, {"start": 427.84, "end": 428.26, "word": " اللي", "probability": 0.675048828125}, {"start": 428.26, "end": 428.42, "word": " هو", "probability": 0.9931640625}, {"start": 428.42, "end": 428.96, "word": " الترتيب", "probability": 0.910400390625}], "temperature": 1.0}, {"id": 16, "seek": 44696, "start": 429.52, "end": 446.96, "text": "عشان انا اطلعلك ال rank اللي هي برضه ال selection problem و هي ما يسمى ال rank problem ال rank يعني الرتبة يعني عشان انا اجيبلك الحل بدي ارتبهم في الأول لأن عملية الترتبة دي مكلفة على ال Ray زي هيك جدش هدول قدرهم تسعة", "tokens": [3615, 8592, 7649, 1975, 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الـ8 كان جاي هو أول answer لما احنا أخدنا ال list في ال problem كانت كيف؟ بتحط محل الأربعة أو الأربعة محلها يعني التمانية جاي هنا واحد و هنا عشرة و هنا تسعة و إيش سبعة و اتناش و بعدين بتحط الأربعة و بعدين التنين و بعدين الخمسة عشر لو اعطاني .. لو ال problem بدت على هذا ال input و عملنا الكلام اللي قلناه اللي هو عملنا ال partitioning", "tokens": [28814, 1863, 3224, 2423, 39184, 23, 25961, 10874, 47302, 31439, 5551, 12610, 1867, 5296, 15042, 1975, 5016, 8315, 5551, 9778, 3215, 8315, 2423, 1329, 8978, 2423, 1154, 25961, 2655, 9122, 33911, 22807, 39894, 5016, 9566, 3714, 5016, 1211, 16247, 25513, 27884, 34051, 16247, 25513, 27884, 3714, 5016, 1211, 11296, 37495, 22653, 16712, 2304, 7649, 10632, 10874, 47302, 34105, 36764, 24401, 4032, 34105, 6225, 8592, 25720, 4032, 34105, 6055, 3794, 27884, 4032, 11933, 1829, 8592, 8608, 3555, 27884, 4032, 1975, 2655, 1863, 33599, 4032, 39182, 9957, 39894, 5016, 9566, 16247, 25513, 27884, 4032, 39182, 9957, 16712, 1863, 9957, 4032, 39182, 9957, 33962, 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7649, 1829, 13672, 1829, 39896, 2423, 1702], "avg_logprob": -0.4469401116172473, "compression_ratio": 1.0444444444444445, "no_speech_prob": 0.0, "words": [{"start": 1574.6, "end": 1575.28, "word": "Hi", "probability": 0.328857421875}, {"start": 1575.28, "end": 1575.96, "word": " Okay", "probability": 0.1324462890625}, {"start": 1575.96, "end": 1577.44, "word": " والتاني", "probability": 0.802490234375}, {"start": 1577.44, "end": 1577.58, "word": " اللي", "probability": 0.842529296875}, {"start": 1577.58, "end": 1577.86, "word": " هي", "probability": 0.76025390625}, {"start": 1577.86, "end": 1578.22, "word": " ال", "probability": 0.87548828125}, {"start": 1578.22, "end": 1578.56, "word": " quick", "probability": 0.5859375}], "temperature": 1.0}, {"id": 59, "seek": 160886, "start": 1582.46, "end": 1608.86, "text": "Select Quick Select بتستدعي اللوموتو جلبتهم انا هدوله لوموتو تمام هذه دبعت ال partitioning فقط فهي بدأت تاخد ال array a sub array defined by its left and right indices LOR", "tokens": [10637, 1809, 12101, 13638, 39894, 14851, 3215, 3615, 1829, 13672, 20498, 35473, 2407, 10874, 46152, 2655, 16095, 1975, 8315, 8032, 3215, 12610, 3224, 5296, 20498, 35473, 2407, 46811, 10943, 29538, 11778, 3555, 34268, 2423, 24808, 278, 6156, 47432, 6156, 3224, 1829, 47525, 10721, 2655, 6055, 47283, 3215, 2423, 10225, 257, 1422, 10225, 7642, 538, 1080, 1411, 293, 558, 43840, 441, 2483], "avg_logprob": -0.3744959538021395, "compression_ratio": 1.312849162011173, "no_speech_prob": 0.0, "words": [{"start": 1582.46, "end": 1583.42, "word": "Select", "probability": 0.5662841796875}, {"start": 1583.42, "end": 1584.38, "word": " Quick", "probability": 0.12457275390625}, {"start": 1584.38, "end": 1584.76, "word": " Select", "probability": 0.51318359375}, {"start": 1584.76, "end": 1585.48, "word": " بتستدعي", "probability": 0.75966796875}, {"start": 1585.48, "end": 1586.36, "word": " اللوموتو", "probability": 0.638916015625}, {"start": 1586.36, "end": 1589.14, "word": " جلبتهم", "probability": 0.8470458984375}, {"start": 1589.14, "end": 1589.34, "word": " انا", "probability": 0.6739501953125}, {"start": 1589.34, "end": 1589.94, "word": " هدوله", "probability": 0.7808837890625}, {"start": 1589.94, "end": 1594.8, "word": " لوموتو", "probability": 0.73321533203125}, {"start": 1594.8, "end": 1596.58, "word": " تمام", "probability": 0.905029296875}, {"start": 1596.58, "end": 1597.44, "word": " هذه", "probability": 0.42333984375}, {"start": 1597.44, "end": 1598.32, "word": " دبعت", "probability": 0.466552734375}, {"start": 1598.32, "end": 1598.42, "word": " ال", "probability": 0.93359375}, {"start": 1598.42, "end": 1599.06, "word": " partitioning", "probability": 0.47119140625}, {"start": 1599.06, "end": 1599.36, "word": " فقط", "probability": 0.98974609375}, {"start": 1599.36, "end": 1599.66, "word": " فهي", "probability": 0.95849609375}, {"start": 1599.66, "end": 1599.94, "word": " بدأت", "probability": 0.736328125}, {"start": 1599.94, "end": 1600.24, "word": " تاخد", "probability": 0.9383138020833334}, {"start": 1600.24, "end": 1600.38, "word": " ال", "probability": 0.96875}, {"start": 1600.38, "end": 1600.82, "word": " array", "probability": 0.88525390625}, {"start": 1600.82, "end": 1602.26, "word": " a", "probability": 0.568359375}, {"start": 1602.26, "end": 1602.54, "word": " sub", "probability": 0.9326171875}, {"start": 1602.54, "end": 1603.02, "word": " array", "probability": 0.5859375}, {"start": 1603.02, "end": 1606.32, "word": " defined", "probability": 0.75146484375}, {"start": 1606.32, "end": 1606.54, "word": " by", "probability": 0.97216796875}, {"start": 1606.54, "end": 1606.8, "word": " its", "probability": 0.72412109375}, {"start": 1606.8, "end": 1607.02, "word": " left", "probability": 0.92138671875}, {"start": 1607.02, "end": 1607.26, "word": " and", "probability": 0.962890625}, {"start": 1607.26, "end": 1607.56, "word": " right", "probability": 0.9140625}, {"start": 1607.56, "end": 1608.26, "word": " indices", "probability": 0.94287109375}, {"start": 1608.26, "end": 1608.86, "word": " LOR", "probability": 0.65185546875}], "temperature": 1.0}, {"id": 60, "seek": 163857, "start": 1609.59, "end": 1638.57, "text": "الـ output بتعطيني partition بتعطيني نفس ال array بس partitioned و ال position تبع مين ال pivot اللي هو ال S ال S هي ال position تبعت ال pivot فأول إشي بتاخد خلينا ناخد العماصر نفسهم عشان نتبعها حد تفكرهم هيتهم الأربعة الواحد العشرة التمانية السبعة", "tokens": [6027, 39184, 5598, 39894, 3615, 9566, 1829, 22653, 24808, 39894, 3615, 9566, 1829, 22653, 8717, 36178, 2423, 10225, 4724, 3794, 24808, 292, 4032, 2423, 2535, 6055, 3555, 3615, 3714, 9957, 2423, 14538, 13672, 1829, 31439, 2423, 318, 2423, 318, 39896, 2423, 2535, 6055, 3555, 34268, 2423, 14538, 6156, 10721, 12610, 11933, 8592, 1829, 39894, 47283, 3215, 16490, 20292, 8315, 8717, 47283, 3215, 18863, 2304, 33546, 2288, 8717, 36178, 16095, 6225, 8592, 7649, 8717, 2655, 3555, 3615, 11296, 11331, 3215, 6055, 5172, 37983, 16095, 8032, 36081, 16095, 16247, 25513, 27884, 2423, 14407, 24401, 18863, 8592, 25720, 16712, 2304, 7649, 10632, 21136, 3555, 27884], "avg_logprob": -0.18977548196477798, "compression_ratio": 1.849056603773585, "no_speech_prob": 0.0, "words": [{"start": 1609.59, "end": 1609.87, "word": "الـ", "probability": 0.8544921875}, {"start": 1609.87, "end": 1610.35, "word": " output", "probability": 0.849609375}, {"start": 1610.35, "end": 1611.03, "word": " بتعطيني", "probability": 0.664013671875}, {"start": 1611.03, "end": 1611.49, "word": " partition", "probability": 0.8486328125}, {"start": 1611.49, "end": 1612.09, "word": " بتعطيني", "probability": 0.851953125}, {"start": 1612.09, "end": 1612.41, "word": " نفس", "probability": 0.98193359375}, {"start": 1612.41, "end": 1612.57, "word": " ال", "probability": 0.9404296875}, {"start": 1612.57, "end": 1612.89, "word": " array", "probability": 0.91064453125}, {"start": 1612.89, "end": 1613.21, "word": " بس", "probability": 0.95068359375}, {"start": 1613.21, "end": 1614.35, "word": " partitioned", "probability": 0.6800537109375}, {"start": 1614.35, "end": 1614.73, "word": " و", "probability": 0.8134765625}, {"start": 1614.73, "end": 1614.99, "word": " ال", "probability": 0.62109375}, {"start": 1614.99, "end": 1615.67, "word": " position", "probability": 0.884765625}, {"start": 1615.67, "end": 1616.13, "word": " تبع", "probability": 0.9453125}, {"start": 1616.13, "end": 1616.45, "word": " مين", "probability": 0.729248046875}, {"start": 1616.45, "end": 1616.57, "word": " ال", "probability": 0.99267578125}, {"start": 1616.57, "end": 1616.89, "word": " pivot", "probability": 0.97265625}, {"start": 1616.89, "end": 1617.17, "word": " اللي", "probability": 0.924560546875}, {"start": 1617.17, "end": 1617.27, "word": " هو", "probability": 0.94580078125}, {"start": 1617.27, "end": 1617.37, "word": " ال", "probability": 0.93310546875}, {"start": 1617.37, "end": 1617.67, "word": " S", "probability": 0.73486328125}, {"start": 1617.67, "end": 1618.67, "word": " ال", "probability": 0.90576171875}, {"start": 1618.67, "end": 1618.97, "word": " S", "probability": 0.91650390625}, {"start": 1618.97, "end": 1619.21, "word": " هي", "probability": 0.921875}, {"start": 1619.21, "end": 1619.37, "word": " ال", "probability": 0.85400390625}, {"start": 1619.37, "end": 1619.75, "word": " position", "probability": 0.97021484375}, {"start": 1619.75, "end": 1620.15, "word": " تبعت", "probability": 0.83837890625}, {"start": 1620.15, "end": 1620.31, "word": " ال", "probability": 0.9912109375}, {"start": 1620.31, "end": 1620.65, "word": " pivot", "probability": 0.97900390625}, {"start": 1620.65, "end": 1622.21, "word": " فأول", "probability": 0.9768880208333334}, {"start": 1622.21, "end": 1622.55, "word": " إشي", "probability": 0.7329915364583334}, {"start": 1622.55, "end": 1623.45, "word": " بتاخد", "probability": 0.6588541666666666}, {"start": 1623.45, "end": 1625.65, "word": " خلينا", "probability": 0.7576497395833334}, {"start": 1625.65, "end": 1625.99, "word": " ناخد", "probability": 0.9827473958333334}, {"start": 1625.99, "end": 1626.83, "word": " العماصر", "probability": 0.73223876953125}, {"start": 1626.83, "end": 1627.23, "word": " نفسهم", "probability": 0.9720052083333334}, {"start": 1627.23, "end": 1627.73, "word": " عشان", "probability": 0.822998046875}, {"start": 1627.73, "end": 1629.11, "word": " نتبعها", "probability": 0.9384765625}, {"start": 1629.11, "end": 1630.71, "word": " حد", "probability": 0.807861328125}, {"start": 1630.71, "end": 1631.37, "word": " تفكرهم", "probability": 0.877685546875}, {"start": 1631.37, "end": 1631.85, "word": " هيتهم", "probability": 0.658935546875}, {"start": 1631.85, "end": 1632.51, "word": " الأربعة", "probability": 0.9215494791666666}, {"start": 1632.51, "end": 1634.35, "word": " الواحد", "probability": 0.8899739583333334}, {"start": 1634.35, "end": 1636.07, "word": " العشرة", "probability": 0.9521484375}, {"start": 1636.07, "end": 1637.41, "word": " التمانية", "probability": 0.8909912109375}, {"start": 1637.41, "end": 1638.57, "word": " السبعة", "probability": 0.7403971354166666}], "temperature": 1.0}, {"id": 61, "seek": 166374, "start": 1639.22, "end": 1663.74, "text": "12 9 2 15 okay فمبدأيا ال algorithm بدها في أندفع الرابو اللي هو ال P اللي هو ال pivot بساوي العنصر المشهر إليه ب L اللي هو أول واحد صح؟", "tokens": [4762, 1722, 568, 2119, 1392, 6156, 2304, 44510, 10721, 25528, 2423, 9284, 47525, 11296, 8978, 14739, 3215, 5172, 3615, 34892, 16758, 2407, 13672, 1829, 31439, 2423, 430, 13672, 1829, 31439, 2423, 14538, 4724, 3794, 995, 45865, 18863, 1863, 9381, 2288, 9673, 8592, 3224, 2288, 11933, 20292, 3224, 4724, 441, 13672, 1829, 31439, 5551, 12610, 36764, 24401, 20328, 5016, 22807], "avg_logprob": -0.3406249890724818, "compression_ratio": 1.411764705882353, "no_speech_prob": 0.0, "words": [{"start": 1639.22, "end": 1639.78, "word": "12", "probability": 0.34375}, {"start": 1639.78, "end": 1641.32, "word": " 9", "probability": 0.62060546875}, {"start": 1641.32, "end": 1642.1, "word": " 2", "probability": 0.9375}, {"start": 1642.1, "end": 1643.68, "word": " 15", "probability": 0.91259765625}, {"start": 1643.68, "end": 1646.52, "word": " okay", "probability": 0.07940673828125}, {"start": 1646.52, "end": 1647.96, "word": " فمبدأيا", "probability": 0.81884765625}, {"start": 1647.96, "end": 1648.58, "word": " ال", "probability": 0.83642578125}, {"start": 1648.58, "end": 1649.04, "word": " algorithm", "probability": 0.76220703125}, {"start": 1649.04, "end": 1651.14, "word": " بدها", "probability": 0.8876953125}, {"start": 1651.14, "end": 1655.48, "word": " في", "probability": 0.5927734375}, {"start": 1655.48, "end": 1655.88, "word": " أندفع", "probability": 0.523193359375}, {"start": 1655.88, "end": 1656.06, "word": " الرابو", "probability": 0.4354654947916667}, {"start": 1656.06, "end": 1656.16, "word": " اللي", "probability": 0.84423828125}, {"start": 1656.16, "end": 1656.26, "word": " هو", "probability": 0.90283203125}, {"start": 1656.26, "end": 1656.38, "word": " ال", "probability": 0.85205078125}, {"start": 1656.38, "end": 1656.56, "word": " P", "probability": 0.71484375}, {"start": 1656.56, "end": 1656.7, "word": " اللي", "probability": 0.66845703125}, {"start": 1656.7, "end": 1656.78, "word": " هو", "probability": 0.9794921875}, {"start": 1656.78, "end": 1656.88, "word": " ال", "probability": 0.962890625}, {"start": 1656.88, "end": 1657.24, "word": " pivot", "probability": 0.96142578125}, {"start": 1657.24, "end": 1657.96, "word": " بساوي", "probability": 0.8314208984375}, {"start": 1657.96, "end": 1659.78, "word": " العنصر", "probability": 0.980224609375}, {"start": 1659.78, "end": 1660.22, "word": " المشهر", "probability": 0.84521484375}, {"start": 1660.22, "end": 1660.62, "word": " إليه", "probability": 0.7391764322916666}, {"start": 1660.62, "end": 1660.76, "word": " ب", "probability": 0.311767578125}, {"start": 1660.76, "end": 1661.12, "word": " L", "probability": 0.53564453125}, {"start": 1661.12, "end": 1662.06, "word": " اللي", "probability": 0.97314453125}, {"start": 1662.06, "end": 1662.24, "word": " هو", "probability": 0.99609375}, {"start": 1662.24, "end": 1662.52, "word": " أول", "probability": 0.90478515625}, {"start": 1662.52, "end": 1662.92, "word": " واحد", "probability": 0.99462890625}, {"start": 1662.92, "end": 1663.74, "word": " صح؟", "probability": 0.908203125}], "temperature": 1.0}, {"id": 62, "seek": 169271, "start": 1664.13, "end": 1692.71, "text": "وهذا ال value يبقى ثابت مش هيتغير هلف عليهم كلهم و هو هو ال P بساوية أربعة مظبوط على كده ده ال ال هذي بقى مش واحد ده ال ال هذي ال واحد لأن I في عندي I لأ جاب ال S بشور على مين على ال هو هذا ال أصلا صح وهذا R S", "tokens": [2407, 3224, 15730, 2423, 2158, 7251, 3555, 4587, 7578, 38637, 16758, 2655, 37893, 8032, 36081, 17082, 13546, 8032, 46538, 25894, 16095, 28242, 16095, 4032, 31439, 31439, 2423, 430, 4724, 3794, 995, 2407, 10632, 5551, 25513, 27884, 3714, 19913, 3555, 2407, 9566, 15844, 9122, 3215, 3224, 11778, 3224, 2423, 2423, 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هنعطيها", "probability": 0.9447428385416666}, {"start": 2275.0, "end": 2275.12, "word": " ال", "probability": 0.95166015625}, {"start": 2275.12, "end": 2275.5, "word": " array", "probability": 0.70947265625}, {"start": 2275.5, "end": 2275.94, "word": " من", "probability": 0.96923828125}, {"start": 2275.94, "end": 2276.3, "word": " عند", "probability": 0.9619140625}, {"start": 2276.3, "end": 2276.88, "word": " S", "probability": 0.69189453125}, {"start": 2276.88, "end": 2277.32, "word": " زائد", "probability": 0.7378743489583334}, {"start": 2277.32, "end": 2277.62, "word": " 1", "probability": 0.76220703125}, {"start": 2277.62, "end": 2277.94, "word": " اللي", "probability": 0.9453125}, {"start": 2277.94, "end": 2278.28, "word": " هي", "probability": 0.93798828125}, {"start": 2278.28, "end": 2279.54, "word": " العنصر", "probability": 0.971435546875}, {"start": 2279.54, "end": 2280.42, "word": " هذا", "probability": 0.92529296875}, {"start": 2280.42, "end": 2286.68, "word": " لغاية", 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أربعة صح؟ صح؟ بعد ما ينعمل partitioning لهذه الصغيرة هتكون السبعة أجت هنا والتمانية أجت هنا هي بالاصل ماكنوش بالاصل كان التمانية في الأول والسبعة بعدها", "tokens": [2407, 6027, 12984, 1211, 5718, 104, 3660, 5551, 7435, 2655, 34105, 16070, 35457, 27884, 5551, 7435, 2655, 34105, 2423, 318, 11933, 1829, 8592, 2423, 2158, 6055, 3555, 3615, 11296, 39896, 30544, 2423, 318, 4724, 1829, 3794, 995, 45865, 5551, 25513, 27884, 20328, 5016, 22807, 20328, 5016, 22807, 39182, 19446, 7251, 1863, 25957, 1211, 24808, 278, 46740, 24192, 31767, 17082, 48923, 8032, 2655, 30544, 21136, 3555, 27884, 5551, 7435, 2655, 34105, 16070, 39237, 7649, 10632, 5551, 7435, 2655, 34105, 39896, 20666, 33546, 1211, 19446, 19452, 2407, 8592, 20666, 33546, 1211, 25961, 16712, 2304, 7649, 10632, 8978, 16247, 12610, 16070, 35457, 27884, 39182, 11296], "avg_logprob": -0.20813106477839274, "compression_ratio": 1.9405940594059405, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2354.1600000000003, "end": 2354.9, 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0.906982421875}, {"start": 2489.08, "end": 2489.28, "word": " من", "probability": 0.9951171875}, {"start": 2489.28, "end": 2489.7, "word": " تمانية", "probability": 0.8649088541666666}, {"start": 2489.7, "end": 2490.5, "word": " لخمستاشر،", "probability": 0.7885044642857143}, {"start": 2490.5, "end": 2491.06, "word": " بعدين", "probability": 0.9619140625}], "temperature": 1.0}, {"id": 91, "seek": 252096, "start": 2491.74, "end": 2520.96, "text": "ربما ناخد اشي اصغر ربما ناخد النص ربما ناخد اقل من النص فمافيش ratio ثابت بيتناقص ابو ال input المثال التالت احنا الآن لما ن .. هنا في ال .. في ال select هذه ال problem او في ال search لما بنعمل binary search problem", "tokens": [25513, 15042, 8717, 47283, 3215, 1975, 8592, 1829, 1975, 9381, 17082, 2288, 12602, 3555, 15042, 8717, 47283, 3215, 28239, 9381, 12602, 3555, 15042, 8717, 47283, 3215, 1975, 4587, 1211, 9154, 28239, 9381, 6156, 15042, 41185, 8592, 8509, 38637, 16758, 2655, 4724, 36081, 8315, 4587, 9381, 48127, 2407, 2423, 4846, 9673, 12984, 6027, 16712, 6027, 2655, 1975, 5016, 8315, 6024, 48506, 5296, 15042, 8717, 4386, 34105, 8978, 2423, 4386, 8978, 2423, 3048, 29538, 2423, 1154, 1975, 2407, 8978, 2423, 3164, 5296, 15042, 44945, 25957, 1211, 17434, 3164, 1154], "avg_logprob": -0.2260298314080997, "compression_ratio": 1.7967914438502675, "no_speech_prob": 0.0, "words": [{"start": 2491.74, "end": 2492.18, "word": "ربما", "probability": 0.8642578125}, {"start": 2492.18, "end": 2492.58, "word": " ناخد", "probability": 0.89599609375}, {"start": 2492.58, "end": 2493.18, "word": " اشي", "probability": 0.60986328125}, {"start": 2493.18, "end": 2494.12, "word": " اصغر", "probability": 0.89306640625}, {"start": 2494.12, "end": 2495.52, "word": " ربما", "probability": 0.8076985677083334}, {"start": 2495.52, "end": 2495.84, "word": " ناخد", "probability": 0.98779296875}, {"start": 2495.84, "end": 2496.2, "word": " النص", "probability": 0.720703125}, {"start": 2496.2, "end": 2496.46, "word": " ربما", "probability": 0.7178548177083334}, {"start": 2496.46, "end": 2496.74, "word": " ناخد", "probability": 0.97998046875}, {"start": 2496.74, "end": 2496.98, "word": " اقل", "probability": 0.85791015625}, {"start": 2496.98, "end": 2497.1, "word": " من", "probability": 0.9931640625}, {"start": 2497.1, "end": 2497.48, "word": " النص", "probability": 0.968994140625}, {"start": 2497.48, "end": 2498.78, "word": " فمافيش", "probability": 0.8939208984375}, {"start": 2498.78, "end": 2500.58, "word": " ratio", "probability": 0.402099609375}, {"start": 2500.58, "end": 2501.42, "word": " ثابت", "probability": 0.9938151041666666}, {"start": 2501.42, "end": 2502.7, "word": " بيتناقص", "probability": 0.700390625}, {"start": 2502.7, "end": 2503.04, "word": " ابو", "probability": 0.34478759765625}, {"start": 2503.04, "end": 2503.42, "word": " ال", "probability": 0.9736328125}, {"start": 2503.42, "end": 2503.86, "word": " input", "probability": 0.96728515625}, {"start": 2503.86, "end": 2508.7, "word": " المثال", "probability": 0.7540690104166666}, {"start": 2508.7, "end": 2509.44, "word": " التالت", "probability": 0.9723307291666666}, {"start": 2509.44, "end": 2510.92, "word": " احنا", "probability": 0.89208984375}, {"start": 2510.92, "end": 2511.2, "word": " الآن", "probability": 0.639404296875}, {"start": 2511.2, "end": 2511.48, "word": " لما", "probability": 0.80810546875}, {"start": 2511.48, "end": 2511.62, "word": " ن", "probability": 0.51708984375}, {"start": 2511.62, "end": 2512.7, "word": " ..", "probability": 0.705078125}, {"start": 2512.7, "end": 2513.22, "word": " هنا", "probability": 0.921875}, {"start": 2513.22, "end": 2513.44, "word": " في", "probability": 0.89990234375}, {"start": 2513.44, "end": 2513.72, "word": " ال", "probability": 0.9677734375}, {"start": 2513.72, "end": 2514.16, "word": " ..", "probability": 0.6650390625}, {"start": 2514.16, "end": 2515.14, "word": " في", "probability": 0.93701171875}, {"start": 2515.14, "end": 2515.24, "word": " ال", "probability": 0.87255859375}, {"start": 2515.24, "end": 2515.54, "word": " select", "probability": 0.849609375}, {"start": 2515.54, "end": 2515.9, "word": " هذه", "probability": 0.5859375}, {"start": 2515.9, "end": 2516.06, "word": " ال", "probability": 0.89013671875}, {"start": 2516.06, "end": 2516.44, "word": " problem", "probability": 0.95166015625}, {"start": 2516.44, "end": 2516.96, "word": " او", "probability": 0.90966796875}, {"start": 2516.96, "end": 2518.1, "word": " في", "probability": 0.95556640625}, {"start": 2518.1, "end": 2518.28, "word": " ال", "probability": 0.8525390625}, {"start": 2518.28, "end": 2518.7, "word": " search", "probability": 0.9833984375}, {"start": 2518.7, "end": 2519.08, "word": " لما", "probability": 0.955322265625}, {"start": 2519.08, "end": 2519.66, "word": " بنعمل", "probability": 0.8763020833333334}, {"start": 2519.66, "end": 2520.12, "word": " binary", "probability": 0.85693359375}, {"start": 2520.12, "end": 2520.52, "word": " search", "probability": 0.97998046875}, {"start": 2520.52, "end": 2520.96, "word": " problem", "probability": 0.96435546875}], "temperature": 1.0}, {"id": 92, "seek": 255190, "start": 2522.2, "end": 2551.9, "text": "لو نعمل buy and search بيكون في عندي أنا ال array مرتبة ال array مرتبة و عندي value V ال V هذا بتبحث عنه في ال array فبروح على منتصف ال array بقارن إذا هو هيته هو و انت هنا إذا ال value اللي معايا أكبر من ال value اللي في نص ال array برجع لغاية ببحث في النص الأولاني نص الأولاني يعني N على 2 وإلا إذا ال value اللي معايا", "tokens": [1211, 2407, 8717, 25957, 1211, 2256, 293, 3164, 4724, 1829, 30544, 8978, 18871, 16254, 41850, 2423, 10225, 3714, 43500, 49401, 2423, 10225, 3714, 43500, 49401, 4032, 18871, 16254, 2158, 691, 2423, 691, 23758, 39894, 49628, 12984, 18871, 3224, 8978, 2423, 10225, 6156, 26890, 2407, 5016, 15844, 9154, 2655, 9381, 5172, 2423, 10225, 4724, 4587, 9640, 1863, 11933, 15730, 31439, 39896, 47395, 31439, 4032, 16472, 2655, 34105, 11933, 15730, 2423, 2158, 13672, 1829, 20449, 995, 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"end": 2524.94, "word": " في", "probability": 0.67626953125}, {"start": 2524.94, "end": 2525.18, "word": " عندي", "probability": 0.782470703125}, {"start": 2525.18, "end": 2525.38, "word": " أنا", "probability": 0.3232421875}, {"start": 2525.38, "end": 2525.52, "word": " ال", "probability": 0.84521484375}, {"start": 2525.52, "end": 2525.72, "word": " array", "probability": 0.76513671875}, {"start": 2525.72, "end": 2527.1, "word": " مرتبة", "probability": 0.92919921875}, {"start": 2527.1, "end": 2528.14, "word": " ال", "probability": 0.8525390625}, {"start": 2528.14, "end": 2528.34, "word": " array", "probability": 0.97021484375}, {"start": 2528.34, "end": 2528.82, "word": " مرتبة", "probability": 0.9835611979166666}, {"start": 2528.82, "end": 2528.9, "word": " و", "probability": 0.88623046875}, {"start": 2528.9, "end": 2529.24, "word": " عندي", "probability": 0.78173828125}, {"start": 2529.24, "end": 2529.9, "word": " value", "probability": 0.978515625}, {"start": 2529.9, "end": 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ال", "probability": 0.98486328125}, {"start": 2535.58, "end": 2535.9, "word": " array", "probability": 0.96923828125}, {"start": 2535.9, "end": 2537.28, "word": " بقارن", "probability": 0.98828125}, {"start": 2537.28, "end": 2537.52, "word": " إذا", "probability": 0.8828125}, {"start": 2537.52, "end": 2537.86, "word": " هو", "probability": 0.95849609375}, {"start": 2537.86, "end": 2538.4, "word": " هيته", "probability": 0.7470703125}, {"start": 2538.4, "end": 2538.56, "word": " هو", "probability": 0.8896484375}, {"start": 2538.56, "end": 2538.72, "word": " و", "probability": 0.82080078125}, {"start": 2538.72, "end": 2538.84, "word": " انت", "probability": 0.670166015625}, {"start": 2538.84, "end": 2539.12, "word": " هنا", "probability": 0.98779296875}, {"start": 2539.12, "end": 2539.56, "word": " إذا", "probability": 0.958740234375}, {"start": 2539.56, "end": 2540.32, "word": " ال", "probability": 0.9658203125}, {"start": 2540.32, "end": 2540.8, "word": " value", "probability": 0.9912109375}, {"start": 2540.8, "end": 2541.12, "word": " اللي", "probability": 0.9404296875}, {"start": 2541.12, "end": 2541.6, "word": " معايا", "probability": 0.9754231770833334}, {"start": 2541.6, "end": 2542.2, "word": " أكبر", "probability": 0.97900390625}, {"start": 2542.2, "end": 2542.48, "word": " من", "probability": 0.9931640625}, {"start": 2542.48, "end": 2542.7, "word": " ال", "probability": 0.93896484375}, {"start": 2542.7, "end": 2542.94, "word": " value", "probability": 0.986328125}, {"start": 2542.94, "end": 2543.06, "word": " اللي", "probability": 0.945556640625}, {"start": 2543.06, "end": 2543.12, "word": " في", "probability": 0.919921875}, {"start": 2543.12, "end": 2543.32, "word": " نص", "probability": 0.973876953125}, {"start": 2543.32, "end": 2543.44, "word": " ال", "probability": 0.8974609375}, {"start": 2543.44, "end": 2543.82, "word": " array", "probability": 0.96875}, {"start": 2543.82, "end": 2544.72, "word": " برجع", "probability": 0.9763997395833334}, {"start": 2544.72, "end": 2545.12, "word": " لغاية", "probability": 0.59893798828125}, {"start": 2545.12, "end": 2545.82, "word": " ببحث", "probability": 0.923828125}, {"start": 2545.82, "end": 2545.98, "word": " في", "probability": 0.462158203125}, {"start": 2545.98, "end": 2546.2, "word": " النص", "probability": 0.893310546875}, {"start": 2546.2, "end": 2547.08, "word": " الأولاني", "probability": 0.960205078125}, {"start": 2547.08, "end": 2547.78, "word": " نص", "probability": 0.7325439453125}, {"start": 2547.78, "end": 2548.34, "word": " الأولاني", "probability": 0.9814453125}, {"start": 2548.34, "end": 2548.64, "word": " يعني", "probability": 0.920166015625}, {"start": 2548.64, "end": 2548.92, "word": " N", "probability": 0.5947265625}, {"start": 2548.92, "end": 2549.08, "word": " على", "probability": 0.75927734375}, {"start": 2549.08, "end": 2549.42, "word": " 2", "probability": 0.94482421875}, {"start": 2549.42, "end": 2550.64, "word": " وإلا", "probability": 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2696.13, "word": " من", "probability": 0.994140625}, {"start": 2696.13, "end": 2697.87, "word": " اول", "probability": 0.73046875}, {"start": 2697.87, "end": 2698.37, "word": " عنصر", "probability": 0.8743489583333334}, {"start": 2698.37, "end": 2698.93, "word": " في", "probability": 0.9248046875}, {"start": 2698.93, "end": 2699.01, "word": " ال", "probability": 0.96337890625}, {"start": 2699.01, "end": 2699.25, "word": " array", "probability": 0.9375}], "temperature": 1.0}, {"id": 99, "seek": 270516, "start": 2700.32, "end": 2705.16, "text": "هيبقى بروح أدور في المجموعة هذه بقيت بروح أدور في الآخر", "tokens": [3224, 1829, 3555, 4587, 7578, 4724, 32887, 5016, 5551, 3215, 13063, 8978, 9673, 7435, 2304, 2407, 27884, 29538, 4724, 4587, 36081, 4724, 32887, 5016, 5551, 3215, 13063, 8978, 6024, 95, 34740], "avg_logprob": -0.3061523549258709, "compression_ratio": 1.3333333333333333, "no_speech_prob": 0.0, "words": [{"start": 2700.32, "end": 2700.76, "word": "هيبقى", "probability": 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axis على طول مباشر على من وين أبدأ مش هبدأ من النص زي في ال binary search مش هبدأ في النص هبدأ من الموضوع حسب ما بتأشر لهذه هذه عبارة عن إيش V ناقص AL هذه V وهذه AL هذه المسافة هي V ناقص AL تمام؟", "tokens": [5016, 35457, 12174, 32640, 47395, 6156, 3224, 15730, 2423, 8513, 39894, 3615, 9566, 9957, 1829, 3714, 33604, 46309, 2423, 4974, 10298, 15844, 23032, 12610, 3714, 3555, 33599, 2288, 15844, 9154, 4032, 9957, 5551, 44510, 10721, 37893, 8032, 44510, 10721, 9154, 28239, 9381, 30767, 1829, 8978, 2423, 17434, 3164, 37893, 8032, 44510, 10721, 8978, 28239, 9381, 8032, 44510, 10721, 9154, 9673, 2407, 11242, 45367, 11331, 35457, 19446, 39894, 10721, 46309, 46740, 24192, 8032, 8848, 3224, 6225, 3555, 9640, 3660, 18871, 11933, 1829, 8592, 691, 8717, 995, 4587, 9381, 7056, 29538, 691, 37037, 24192, 7056, 29538, 9673, 3794, 31845, 3660, 39896, 691, 8717, 995, 4587, 9381, 7056, 46811, 10943, 22807], "avg_logprob": -0.22233370903435104, "compression_ratio": 1.6923076923076923, "no_speech_prob": 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iteration التانية تبقى قفزة صغيرة و ده وانا ايه اخر issue اللي هو ال problem الاخير ال binary session هنسيبه لمحاضرة جاية ال binary session و بعدها في أن ال name game في عليها مسألة في ال exercises رقم عشرة", "tokens": [2304, 43020, 1975, 4587, 5172, 11622, 12174, 5172, 11622, 3660, 4032, 32277, 27884, 8978, 16247, 12610, 4032, 8978, 2423, 24784, 16712, 7649, 10632, 6055, 3555, 4587, 7578, 12174, 5172, 11622, 3660, 20328, 17082, 48923, 4032, 11778, 3224, 4032, 7649, 995, 1975, 1829, 3224, 1975, 34740, 2734, 13672, 1829, 31439, 2423, 1154, 2423, 47283, 13546, 2423, 17434, 5481, 8032, 1863, 3794, 1829, 3555, 3224, 5296, 2304, 5016, 46958, 25720, 10874, 995, 10632, 2423, 17434, 5481, 4032, 39182, 11296, 8978, 14739, 2423, 1315, 1216, 8978, 25894, 11296, 47524, 10721, 37977, 8978, 2423, 11900, 12602, 4587, 2304, 6225, 8592, 25720], "avg_logprob": -0.2683354576631468, "compression_ratio": 1.663716814159292, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2820.49, "end": 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2824.21, "end": 2824.77, "word": " قفزة", "probability": 0.9892578125}, {"start": 2824.77, "end": 2825.35, "word": " صغيرة", "probability": 0.9895833333333334}, {"start": 2825.35, "end": 2825.77, "word": " و", "probability": 0.65283203125}, {"start": 2825.77, "end": 2826.65, "word": " ده", "probability": 0.924072265625}, {"start": 2826.65, "end": 2826.81, "word": " وانا", "probability": 0.4639078776041667}, {"start": 2826.81, "end": 2827.11, "word": " ايه", "probability": 0.6612141927083334}, {"start": 2827.11, "end": 2828.69, "word": " اخر", "probability": 0.698974609375}, {"start": 2828.69, "end": 2829.01, "word": " issue", "probability": 0.422607421875}, {"start": 2829.01, "end": 2829.23, "word": " اللي", "probability": 0.82666015625}, {"start": 2829.23, "end": 2829.35, "word": " هو", "probability": 0.96240234375}, {"start": 2829.35, "end": 2829.47, "word": " ال", "probability": 0.8759765625}, {"start": 2829.47, "end": 2829.75, "word": " problem", "probability": 0.85693359375}, {"start": 2829.75, "end": 2830.05, "word": " الاخير", "probability": 0.5495198567708334}, {"start": 2830.05, "end": 2830.81, "word": " ال", "probability": 0.61376953125}, {"start": 2830.81, "end": 2831.15, "word": " binary", "probability": 0.87158203125}, {"start": 2831.15, "end": 2831.43, "word": " session", "probability": 0.78515625}, {"start": 2831.43, "end": 2831.99, "word": " هنسيبه", "probability": 0.8247884114583334}, {"start": 2831.99, "end": 2832.45, "word": " لمحاضرة", "probability": 0.890234375}, {"start": 2832.45, "end": 2832.91, "word": " جاية", "probability": 0.8732096354166666}, {"start": 2832.91, "end": 2833.59, "word": " ال", "probability": 0.84130859375}, {"start": 2833.59, "end": 2833.85, "word": " binary", "probability": 0.9267578125}, {"start": 2833.85, "end": 2834.27, "word": " session", "probability": 0.90673828125}, {"start": 2834.27, "end": 2834.83, "word": " و", "probability": 0.765625}, {"start": 2834.83, "end": 2835.23, "word": " بعدها", "probability": 0.6224365234375}, {"start": 2835.23, "end": 2835.49, "word": " في", "probability": 0.80224609375}, {"start": 2835.49, "end": 2835.73, "word": " أن", "probability": 0.270751953125}, {"start": 2835.73, "end": 2836.65, "word": " ال", "probability": 0.92578125}, {"start": 2836.65, "end": 2837.15, "word": " name", "probability": 0.3720703125}, {"start": 2837.15, "end": 2838.69, "word": " game", "probability": 0.68798828125}, {"start": 2838.69, "end": 2839.27, "word": " في", "probability": 0.76904296875}, {"start": 2839.27, "end": 2839.67, "word": " عليها", "probability": 0.84521484375}, {"start": 2839.67, "end": 2840.31, "word": " مسألة", "probability": 0.9597981770833334}, {"start": 2840.31, "end": 2840.61, "word": " في", "probability": 0.935546875}, {"start": 2840.61, "end": 2840.71, "word": " ال", "probability": 0.9228515625}, {"start": 2840.71, "end": 2841.43, "word": " exercises", "probability": 0.9912109375}, {"start": 2841.43, "end": 2842.45, "word": " رقم", "probability": 0.98974609375}, {"start": 2842.45, "end": 2843.37, "word": " عشرة", "probability": 0.7288411458333334}], "temperature": 1.0}, {"id": 105, "seek": 287481, "start": 2862.85, "end": 2874.81, "text": "مطلوب منك تقري ال section أو الكلمتين اللي في الكتاب عن هذه ال game و تفهميها و تحلي المسألة على هذا الأساس يعبر عن مثال أخر ال variable size decrease", "tokens": [2304, 9566, 1211, 37746, 9154, 4117, 6055, 4587, 16572, 2423, 3541, 34051, 33251, 19528, 2655, 9957, 13672, 1829, 8978, 33251, 2655, 16758, 18871, 29538, 2423, 1216, 4032, 6055, 5172, 16095, 1829, 11296, 4032, 6055, 5016, 20292, 9673, 3794, 10721, 37977, 15844, 23758, 16247, 3794, 32277, 7251, 3615, 3555, 2288, 18871, 50113, 6027, 5551, 34740, 2423, 7006, 2744, 11514], "avg_logprob": -0.3744703430240437, "compression_ratio": 1.4285714285714286, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2862.85, "end": 2863.49, "word": "مطلوب", "probability": 0.580810546875}, {"start": 2863.49, "end": 2863.79, "word": " منك", "probability": 0.54498291015625}, {"start": 2863.79, "end": 2864.61, "word": " تقري", "probability": 0.7648111979166666}, {"start": 2864.61, "end": 2864.93, "word": " ال", "probability": 0.348876953125}, {"start": 2864.93, "end": 2865.39, "word": " section", "probability": 0.376220703125}, {"start": 2865.39, "end": 2865.75, "word": " أو", "probability": 0.378662109375}, {"start": 2865.75, "end": 2866.73, "word": " الكلمتين", "probability": 0.88818359375}, {"start": 2866.73, "end": 2866.85, "word": " اللي", "probability": 0.750244140625}, {"start": 2866.85, "end": 2866.95, "word": " في", "probability": 0.93798828125}, {"start": 2866.95, "end": 2867.25, "word": " الكتاب", "probability": 0.89794921875}, {"start": 2867.25, "end": 2867.51, "word": " عن", "probability": 0.94873046875}, {"start": 2867.51, "end": 2868.61, "word": " هذه", "probability": 0.4697265625}, {"start": 2868.61, "end": 2868.71, "word": " ال", "probability": 0.31884765625}, {"start": 2868.71, "end": 2868.95, "word": " game", "probability": 0.81982421875}, {"start": 2868.95, "end": 2869.69, "word": " و", "probability": 0.46630859375}, {"start": 2869.69, "end": 2870.35, "word": " تفهميها", "probability": 0.96923828125}, {"start": 2870.35, "end": 2870.67, "word": " و", "probability": 0.62109375}, {"start": 2870.67, "end": 2870.99, "word": " تحلي", "probability": 0.859375}, {"start": 2870.99, "end": 2871.45, "word": " المسألة", "probability": 0.8775634765625}, {"start": 2871.45, "end": 2871.63, "word": " على", "probability": 0.6796875}, {"start": 2871.63, "end": 2871.83, "word": " هذا", "probability": 0.3447265625}, {"start": 2871.83, "end": 2872.29, "word": " الأساس", "probability": 0.9220377604166666}, {"start": 2872.29, "end": 2872.93, "word": " يعبر", "probability": 0.60992431640625}, {"start": 2872.93, "end": 2873.15, "word": " عن", "probability": 0.92041015625}, {"start": 2873.15, "end": 2873.39, "word": " مثال", "probability": 0.716796875}, {"start": 2873.39, "end": 2873.69, "word": " أخر", "probability": 0.798095703125}, {"start": 2873.69, "end": 2873.85, "word": " ال", "probability": 0.3720703125}, {"start": 2873.85, "end": 2874.09, "word": " variable", "probability": 0.880859375}, {"start": 2874.09, "end": 2874.43, "word": " size", "probability": 0.7998046875}, {"start": 2874.43, "end": 2874.81, "word": " decrease", "probability": 0.7421875}], "temperature": 1.0}, {"id": 106, "seek": 288206, "start": 2875.26, "end": 2882.06, "text": "أما هذا اللي هو ال binary search فانا بحكي في المحاضرة اللي كنتين على السريع المحاضرة الجاي ان شاء الله يعطيكم منافعة", "tokens": [10721, 15042, 23758, 13672, 1829, 31439, 2423, 17434, 3164, 6156, 7649, 995, 4724, 5016, 4117, 1829, 8978, 9673, 5016, 46958, 25720, 13672, 1829, 9122, 29399, 9957, 15844, 21136, 16572, 3615, 9673, 5016, 46958, 25720, 25724, 47302, 16472, 13412, 16606, 21984, 37495, 9566, 1829, 24793, 9154, 31845, 27884], "avg_logprob": -0.30208332650363445, "compression_ratio": 1.467153284671533, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2875.26, "end": 2875.7, "word": "أما", "probability": 0.967041015625}, {"start": 2875.7, "end": 2876.22, "word": " هذا", "probability": 0.95849609375}, {"start": 2876.22, "end": 2876.62, "word": " اللي", "probability": 0.886962890625}, {"start": 2876.62, "end": 2876.76, "word": " هو", "probability": 0.9873046875}, {"start": 2876.76, "end": 2876.86, "word": " ال", "probability": 0.9365234375}, {"start": 2876.86, "end": 2877.14, "word": " binary", "probability": 0.82177734375}, {"start": 2877.14, "end": 2877.46, "word": " search", "probability": 0.720703125}, {"start": 2877.46, "end": 2877.72, "word": " فانا", "probability": 0.87158203125}, {"start": 2877.72, "end": 2878.14, "word": " بحكي", "probability": 0.9849853515625}, {"start": 2878.14, "end": 2878.3, "word": " في", "probability": 0.85693359375}, {"start": 2878.3, "end": 2878.78, "word": " المحاضرة", "probability": 0.9423828125}, {"start": 2878.78, "end": 2878.9, "word": " اللي", "probability": 0.6492919921875}, {"start": 2878.9, "end": 2879.16, "word": " كنتين", "probability": 0.5510050455729166}, {"start": 2879.16, "end": 2879.26, "word": " على", "probability": 0.66162109375}, {"start": 2879.26, "end": 2879.68, "word": " السريع", "probability": 0.7890625}, {"start": 2879.68, "end": 2880.26, "word": " المحاضرة", "probability": 0.8582763671875}, {"start": 2880.26, "end": 2880.54, "word": " الجاي", "probability": 0.4600830078125}, {"start": 2880.54, "end": 2880.66, "word": " ان", "probability": 0.70849609375}, {"start": 2880.66, "end": 2880.8, "word": " شاء", "probability": 0.99169921875}, {"start": 2880.8, "end": 2881.08, "word": " الله", "probability": 0.9716796875}, {"start": 2881.08, "end": 2881.68, "word": " يعطيكم", "probability": 0.7916259765625}, {"start": 2881.68, "end": 2882.06, "word": " منافعة", "probability": 0.3948567708333333}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2882.85025, "duration_after_vad": 2720.31312499999}
\ No newline at end of file
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new file mode 100644
index 0000000000000000000000000000000000000000..c64dcbecf8d3bda7b269d65bb5723c779fd5358c
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/80515xSmLe0_raw.json
@@ -0,0 +1 @@
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"probability": 0.96435546875}, {"start": 1539.16, "end": 1540.08, "word": " بتشتغل", "probability": 0.9533203125}, {"start": 1540.08, "end": 1541.08, "word": " بساعدك", "probability": 0.866455078125}, {"start": 1541.08, "end": 1541.22, "word": " على", "probability": 0.89208984375}, {"start": 1541.22, "end": 1541.7, "word": " فهمها", "probability": 0.90380859375}], "temperature": 1.0}, {"id": 57, "seek": 156797, "start": 1542.41, "end": 1567.97, "text": "المهم انه لازم انا افهم ال algorithm كويس عشان اقدر اقدر ال running time تبعها فعندك انت الآن ال worst case انه كل ال loop من zero ل N ناقص واحد نلف عليها", "tokens": [45340, 16095, 16472, 3224, 5296, 31377, 2304, 1975, 8315, 1975, 5172, 16095, 2423, 9284, 9122, 45865, 3794, 6225, 8592, 7649, 1975, 28543, 2288, 1975, 28543, 2288, 2423, 2614, 565, 6055, 3555, 3615, 11296, 6156, 3615, 41260, 4117, 16472, 2655, 6024, 48506, 2423, 5855, 1389, 16472, 3224, 28242, 2423, 6367, 9154, 4018, 5296, 426, 8717, 995, 4587, 9381, 36764, 24401, 8717, 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ماشي خليني بس ع السريع بشرح ال problem و طريقة عمل ال algorithm و بتاعة بتوضح هذا المثال ضرب مصفوفتين في عندي كيف؟ في عندي المصفوفة A و المصفوفة B عشان انا اضرب المصفوفتين ايش اللي بدي حصل ان كل سطر", "tokens": [3224, 15730, 2423, 1365, 16712, 6027, 2655, 3714, 33599, 1829, 16490, 1211, 9957, 1829, 4724, 3794, 6225, 21136, 16572, 3615, 4724, 46309, 5016, 2423, 1154, 4032, 23032, 16572, 28671, 6225, 42213, 2423, 9284, 4032, 39894, 995, 27884, 39894, 2407, 11242, 5016, 23758, 9673, 12984, 6027, 48812, 25513, 3714, 9381, 5172, 38688, 2655, 9957, 8978, 18871, 16254, 9122, 33911, 22807, 8978, 18871, 16254, 9673, 9381, 5172, 38688, 3660, 316, 4032, 9673, 9381, 5172, 38688, 3660, 363, 6225, 8592, 7649, 1975, 8315, 1975, 11242, 25513, 9673, 9381, 5172, 38688, 2655, 9957, 1975, 1829, 8592, 13672, 1829, 4724, 16254, 11331, 36520, 16472, 28242, 8608, 9566, 2288], "avg_logprob": -0.21364182677979654, "compression_ratio": 1.7666666666666666, "no_speech_prob": 5.960464477539063e-08, "words": 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70, "seek": 192859, "start": 1901.09, "end": 1928.59, "text": "multiplies two square matrices of order n يعني اتنين square و اتنين ابعادهم n by okay لأن بالتالي ال input عبارة عن two in by in matrices a و b ال output ان يكون matrix c اللي هي عبارة عن حاصل ال dot product ل a و b ماشي نسوي كام loop بتوصيل علنا تلاتة ليش؟", "tokens": [76, 723, 34442, 530, 732, 3732, 32284, 295, 1668, 297, 37495, 22653, 1975, 2655, 1863, 9957, 3732, 4032, 1975, 2655, 1863, 9957, 48127, 3615, 18513, 16095, 297, 538, 1392, 5296, 33456, 20666, 2655, 6027, 1829, 2423, 4846, 6225, 3555, 9640, 3660, 18871, 732, 294, 538, 294, 32284, 257, 4032, 272, 2423, 5598, 16472, 7251, 30544, 8141, 269, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 11331, 33546, 1211, 2423, 5893, 1674, 5296, 257, 4032, 272, 3714, 33599, 1829, 8717, 3794, 45865, 9122, 10943, 6367, 39894, 2407, 9381, 26895, 11203, 8315, 6055, 1211, 9307, 3660, 32239, 8592, 22807], "avg_logprob": -0.29544004189724826, "compression_ratio": 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{"start": 2119.85, "end": 2120.35, "word": " worst", "probability": 0.966796875}, {"start": 2120.35, "end": 2120.55, "word": " case", "probability": 0.96435546875}, {"start": 2120.55, "end": 2120.69, "word": " و", "probability": 0.98681640625}, {"start": 2120.69, "end": 2120.91, "word": " best", "probability": 0.6875}, {"start": 2120.91, "end": 2121.39, "word": " case", "probability": 0.9560546875}, {"start": 2121.39, "end": 2122.29, "word": " هل", "probability": 0.721435546875}, {"start": 2122.29, "end": 2122.39, "word": " في", "probability": 0.92578125}, {"start": 2122.39, "end": 2122.79, "word": " حالات", "probability": 0.8330078125}, {"start": 2122.79, "end": 2123.03, "word": " ممكن", "probability": 0.927734375}, {"start": 2123.03, "end": 2123.37, "word": " تجيني", "probability": 0.7294921875}, {"start": 2123.37, "end": 2123.89, "word": " مصوفة", "probability": 0.83056640625}, {"start": 2123.89, "end": 2124.57, "word": " عناصرها", "probability": 0.950439453125}, {"start": 2124.57, "end": 2125.33, "word": " جايين", "probability": 0.859375}, {"start": 2125.33, "end": 2125.63, "word": " بشكل", "probability": 0.9864908854166666}, {"start": 2125.63, "end": 2126.09, "word": " معين", "probability": 0.9970703125}, {"start": 2126.09, "end": 2126.87, "word": " وبالتالي", "probability": 0.884326171875}, {"start": 2126.87, "end": 2127.19, "word": " يكون", "probability": 0.955322265625}, {"start": 2127.19, "end": 2128.83, "word": " مريح", "probability": 0.9931640625}, {"start": 2128.83, "end": 2129.01, "word": " لل", "probability": 0.88037109375}, {"start": 2129.01, "end": 2129.33, "word": " algorithm", "probability": 0.95556640625}, {"start": 2129.33, "end": 2129.65, "word": " و", "probability": 0.71923828125}, {"start": 2129.65, "end": 2129.93, "word": " best", "probability": 0.58154296875}, {"start": 2129.93, "end": 2130.29, "word": " case", "probability": 0.94873046875}, {"start": 2130.29, "end": 2131.01, "word": " لأ", "probability": 0.713134765625}], "temperature": 1.0}, {"id": 78, "seek": 215236, "start": 2131.38, "end": 2152.36, "text": "نفسي حتى لو كان صفار كان صفار ولا كان أرقام عملية الدرب حتم عملية الجامعة حتم مافي عندي worst case و best case ماشي المحاضرة الجاي ان شاء الله بنرجع تاني عشان نقدر اللي هو ال capital C يعني اللي هو موجود عندك في الكتاب اللي هم تقدر تطلع عليه من قبل المحاضرة ان شاء الله يعطيكم العافية", "tokens": [1863, 36178, 1829, 11331, 49975, 45164, 25961, 20328, 5172, 9640, 25961, 20328, 5172, 9640, 49429, 25961, 5551, 2288, 4587, 10943, 6225, 42213, 10632, 32748, 25513, 11331, 39237, 6225, 42213, 10632, 25724, 10943, 27884, 11331, 39237, 19446, 41185, 43242, 1829, 5855, 1389, 4032, 1151, 1389, 3714, 33599, 1829, 9673, 5016, 46958, 25720, 25724, 47302, 16472, 13412, 16606, 21984, 44945, 47341, 3615, 6055, 7649, 1829, 6225, 8592, 7649, 8717, 28543, 2288, 13672, 1829, 31439, 2423, 4238, 383, 37495, 22653, 13672, 1829, 31439, 3714, 29245, 23328, 43242, 4117, 8978, 33251, 2655, 16758, 13672, 1829, 8032, 2304, 6055, 28543, 2288, 6055, 9566, 1211, 3615, 47356, 9154, 12174, 36150, 9673, 5016, 46958, 25720, 16472, 13412, 16606, 21984, 37495, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.2229166681567828, "compression_ratio": 2.025, "no_speech_prob": 1.0609626770019531e-05, "words": [{"start": 2131.38, "end": 2131.76, "word": "نفسي", "probability": 0.5002848307291666}, {"start": 2131.76, "end": 2131.94, "word": " حتى", "probability": 0.8251953125}, {"start": 2131.94, "end": 2132.02, "word": " لو", "probability": 0.94677734375}, {"start": 2132.02, "end": 2132.18, "word": " كان", "probability": 0.98046875}, {"start": 2132.18, "end": 2132.64, "word": " صفار", "probability": 0.9195963541666666}, {"start": 2132.64, "end": 2134.04, "word": " كان", "probability": 0.41845703125}, {"start": 2134.04, "end": 2134.44, "word": " صفار", "probability": 0.9873046875}, {"start": 2134.44, "end": 2134.6, "word": " ولا", "probability": 0.50390625}, {"start": 2134.6, "end": 2134.8, "word": " كان", "probability": 0.97412109375}, {"start": 2134.8, "end": 2135.2, "word": " أرقام", "probability": 0.86834716796875}, {"start": 2135.2, "end": 2135.84, "word": " عملية", "probability": 0.6316731770833334}, {"start": 2135.84, "end": 2136.08, "word": " الدرب", "probability": 0.706298828125}, {"start": 2136.08, "end": 2136.5, "word": " حتم", "probability": 0.699951171875}, {"start": 2136.5, "end": 2137.1, "word": " عملية", "probability": 0.9002278645833334}, {"start": 2137.1, "end": 2137.42, "word": " الجامعة", "probability": 0.8435872395833334}, {"start": 2137.42, "end": 2137.88, "word": " حتم", "probability": 0.980224609375}, {"start": 2137.88, "end": 2138.64, "word": " مافي", "probability": 0.930419921875}, {"start": 2138.64, "end": 2138.88, "word": " عندي", "probability": 0.4898681640625}, {"start": 2138.88, "end": 2139.02, "word": " worst", "probability": 0.90673828125}, {"start": 2139.02, "end": 2139.26, "word": " case", "probability": 0.95068359375}, {"start": 2139.26, "end": 2139.42, "word": " و", "probability": 0.982421875}, {"start": 2139.42, "end": 2139.66, "word": " best", "probability": 0.82177734375}, {"start": 2139.66, "end": 2140.12, "word": " case", "probability": 0.9482421875}, {"start": 2140.12, "end": 2140.74, "word": " ماشي", "probability": 0.7135416666666666}, {"start": 2140.74, "end": 2142.0, "word": " المحاضرة", "probability": 0.9613037109375}, {"start": 2142.0, "end": 2142.2, "word": " الجاي", "probability": 0.4827880859375}, {"start": 2142.2, "end": 2142.3, "word": " ان", "probability": 0.7412109375}, {"start": 2142.3, "end": 2142.54, "word": " شاء", "probability": 0.978271484375}, {"start": 2142.54, "end": 2142.7, "word": " الله", "probability": 0.95849609375}, {"start": 2142.7, "end": 2144.06, "word": " بنرجع", "probability": 0.95166015625}, {"start": 2144.06, "end": 2144.28, "word": " تاني", "probability": 0.8971354166666666}, {"start": 2144.28, "end": 2144.56, "word": " عشان", "probability": 0.966796875}, {"start": 2144.56, "end": 2145.06, "word": " نقدر", "probability": 0.97509765625}, {"start": 2145.06, "end": 2145.2, "word": " اللي", "probability": 0.91015625}, {"start": 2145.2, "end": 2145.5, "word": " هو", "probability": 0.9912109375}, {"start": 2145.5, "end": 2145.8, "word": " ال", "probability": 0.86328125}, {"start": 2145.8, "end": 2146.08, "word": " capital", "probability": 0.81591796875}, {"start": 2146.08, "end": 2146.4, "word": " C", "probability": 0.22607421875}, {"start": 2146.4, "end": 2146.58, "word": " يعني", "probability": 0.6304931640625}, {"start": 2146.58, "end": 2146.76, "word": " اللي", "probability": 0.9873046875}, {"start": 2146.76, "end": 2146.9, "word": " هو", "probability": 0.88525390625}, {"start": 2146.9, "end": 2147.2, "word": " موجود", "probability": 0.9705403645833334}, {"start": 2147.2, "end": 2147.46, "word": " عندك", "probability": 0.88623046875}, {"start": 2147.46, "end": 2147.56, "word": " في", "probability": 0.9443359375}, {"start": 2147.56, "end": 2147.88, "word": " الكتاب", "probability": 0.9523111979166666}, {"start": 2147.88, "end": 2147.94, "word": " اللي", "probability": 0.553314208984375}, {"start": 2147.94, "end": 2148.0, "word": " هم", "probability": 0.671142578125}, {"start": 2148.0, "end": 2148.24, "word": " تقدر", "probability": 0.9303385416666666}, {"start": 2148.24, "end": 2148.64, "word": " تطلع", "probability": 0.93603515625}, {"start": 2148.64, "end": 2148.9, "word": " عليه", "probability": 0.98583984375}, {"start": 2148.9, "end": 2149.48, "word": " من", "probability": 0.98291015625}, {"start": 2149.48, "end": 2149.68, "word": " قبل", "probability": 0.886474609375}, {"start": 2149.68, "end": 2150.16, "word": " المحاضرة", "probability": 0.9957275390625}, {"start": 2150.16, "end": 2150.28, "word": " ان", "probability": 0.642578125}, {"start": 2150.28, "end": 2150.46, "word": " شاء", "probability": 0.98828125}, {"start": 2150.46, "end": 2150.62, "word": " الله", "probability": 0.93896484375}, {"start": 2150.62, "end": 2151.96, "word": " يعطيكم", "probability": 0.8795166015625}, {"start": 2151.96, "end": 2152.36, "word": " العافية", "probability": 0.9500325520833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2152.4898125, "duration_after_vad": 2029.851874999993}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e90a5368da9b0e03903f8a7248369439772bb683
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110.srt
@@ -0,0 +1,1377 @@
+1
+00:00:20,790 --> 00:00:23,450
+بسم الله الرحمن الرحيم وسهل الرحمن الرحيم اليوم
+
+2
+00:00:23,450 --> 00:00:27,210
+يبدأ إن شاء الله، سنمر على امتحان نص الفصل، نراجع
+
+3
+00:00:27,210 --> 00:00:31,630
+الأسئلة ونشوف حلولها، جد ما نقدر يعني هم يمكن
+
+4
+00:00:31,630 --> 00:00:34,450
+يكفلوا وجد، ويمكن لأ، بس جد ما نقدر، بدنا نطلع على
+
+5
+00:00:34,450 --> 00:00:40,670
+السؤال هذا، بيطلب list الأحرف هذه، كلمة example
+
+6
+00:00:40,670 --> 00:00:46,030
+بدنا نعملها sorting بالـ quick sort، you apply quick
+
+7
+00:00:46,030 --> 00:00:50,040
+sort to sort the list in alphabetical order, draw
+
+8
+00:00:50,040 --> 00:00:54,220
+the tree of recursive calls made. إن الـ recursive
+
+9
+00:00:54,220 --> 00:00:57,780
+calls، أولاً الـ quicksort  Algorithm  recursive
+
+10
+00:00:57,780 --> 00:01:01,060
+algorithm، مظبوط، بتعتمد على إيه؟ هي بتعتمد على
+
+11
+00:01:01,060 --> 00:01:06,130
+قضية الـ partitioning، مظبوط، بناخد أول حرف أو أول
+
+12
+00:01:06,130 --> 00:01:09,630
+عنصر في الـ list على أنه pivot وبنقسم على أساسه، لأن
+
+13
+00:01:09,630 --> 00:01:13,510
+أنتَ يفترض أن عملية الـ partitioning برضه كمان بدك
+
+14
+00:01:13,510 --> 00:01:17,090
+تنتبه أنه ممكن تنعمل بالـ one-way partitioning أو
+
+15
+00:01:17,090 --> 00:01:19,470
+الـ two-way partitioning، يعني إيش الـ one-way؟ بنجيب
+
+16
+00:01:19,470 --> 00:01:23,890
+index واحد اللي هو I،  أبحث عن عناصر اللي أقل من
+
+17
+00:01:23,890 --> 00:01:26,840
+عنصر اللي هو الـ pivot، بينما في الـ two-way بيبقى
+
+18
+00:01:26,840 --> 00:01:31,320
+فيها دي I و J، و بيبقى الـ I بتبحث عن الأكبر و الـ J
+
+19
+00:01:31,320 --> 00:01:35,000
+بتبحث عن الأصغر عشان نعملهم swapping، وبعدين نجيب
+
+20
+00:01:35,000 --> 00:01:39,540
+الـ pivot ونحطه في النص ما بين الـ two subsets أو
+
+21
+00:01:39,540 --> 00:01:43,820
+الـ two partitions، فأنتَ الآن بغض النظر إيش الطريقة
+
+22
+00:01:43,820 --> 00:01:47,180
+هتستخدميها، إما one-way أو two-way، في الآخر أنا
+
+23
+00:01:47,180 --> 00:01:54,660
+معنى  بأن أشوف أن والله الـ list بدأت بـ EXAMPLE
+
+24
+00:01:56,390 --> 00:02:03,990
+الـ Pivot هذا، وين صفة؟ فمن الطبيعي أنه بتيجي الـ A و
+
+25
+00:02:03,990 --> 00:02:10,430
+بعدين الـ E الأخرى، بعدين الـ E، وبيضل الـ A، هدول
+
+26
+00:02:10,430 --> 00:02:16,580
+الأحرف الأقل، الأصغر، والأكبر بيجي اللي هو M، والـ P
+
+27
+00:02:16,580 --> 00:02:20,320
+والـ L، والـ X، ليش أجت الـ X في الآخر؟ ليش ما جتش الـ
+
+28
+00:02:20,320 --> 00:02:24,720
+X هنا؟ هذا بيتوقف على كيف بالظبط قالية الـ algorithm
+
+29
+00:02:24,720 --> 00:02:28,680
+قالية الـ algorithm، أول شيء ما هنبدأ، هيبقى إذا
+
+30
+00:02:28,680 --> 00:02:33,240
+بنعملها two-way، هيبقى الـ I هنا، والـ J هنا، هذا الـ I
+
+31
+00:02:33,240 --> 00:02:37,440
+بيبحث عن من؟ عن الأحرف الأكبر، فهو واقع الآن على
+
+32
+00:02:37,440 --> 00:02:43,040
+حرف أكبر، وهذا وقع على حرف أصغر من أو يساوي، فالآن
+
+33
+00:02:43,040 --> 00:02:45,600
+هنا بتيجي في الـ algorithm عشان إيش تسوي؟ تعمل
+
+34
+00:02:45,600 --> 00:02:51,600
+swapping، فتعمل swapping لمين؟ يأتي الـ E هنا، والـ X
+
+35
+00:02:51,600 --> 00:02:55,460
+يُحدث على الآخر، لهذا السبب، الـ X في الآخر
+
+36
+00:02:55,460 --> 00:03:02,220
+لم تأتي وراء الـ E على طول، واضح؟ أنا الآن، التفاصيل
+
+37
+00:03:02,220 --> 00:03:06,740
+هذه، لو أنتَ حطيت في التفاصيل الـ I والـ J، خطوة
+
+38
+00:03:06,740 --> 00:03:09,020
+بخطوة زي ما أنا هنا جايِل، إنّه
+
+39
+00:03:11,800 --> 00:03:14,460
+لأ، أنا مش طالب الـ iterations، صح؟ مش طالب الـ
+
+40
+00:03:14,460 --> 00:03:19,300
+iterations one by one، في سؤال، أسئلة، أقرأ، مطلوب بس
+
+41
+00:03:19,300 --> 00:03:22,880
+لو جيتي وقلتِ أنه في أول partitioning هتبقى الـ E
+
+42
+00:03:22,880 --> 00:03:25,840
+جاي هنا، واللي قبلها هدول، وهدول، وهدول
+
+43
+00:03:25,840 --> 00:03:29,800
+بعدها، ثم بعد هيك، إيش اللي بيحصل؟ الآن بيحصل استدعاء
+
+44
+00:03:29,800 --> 00:03:33,520
+للـ quick sort على هذا الـ partition، واستدعاء آخر
+
+45
+00:03:33,520 --> 00:03:36,160
+على هذا الـ partition، فهتيجي تقولي لهذا الـ
+
+46
+00:03:36,160 --> 00:03:40,490
+partition، الآن إيش بيحصل فيه؟ هناخد الـ a على أنها
+
+47
+00:03:40,490 --> 00:03:43,410
+pivot، وشوف اللي بعده، اللي بعده، بس هو العنصر هذا
+
+48
+00:03:43,410 --> 00:03:48,610
+هيجي في الـ I والـ J عليه، ويتقدمه في الآخر، مش هيصير
+
+49
+00:03:48,610 --> 00:03:52,790
+فيه swapping، لأن الـ a أصغر من الـ E، فهينزل هدول زي
+
+50
+00:03:52,790 --> 00:03:56,410
+ما هم، بينما هدول، هناخد الـ M كـ pivot
+
+51
+00:03:59,350 --> 00:04:03,530
+ونتيجة الترتيب، أنه هيجي الـ L قبلها، وتيجي الـ M، و
+
+52
+00:04:03,530 --> 00:04:10,490
+بعدها الـ P، والـ X، الـM كـ Pivot، هاي الـ partition
+
+53
+00:04:10,490 --> 00:04:12,970
+اللي قبلها، وهاي الـ partition اللي بعدها، هتكرر هذا
+
+54
+00:04:12,970 --> 00:04:15,770
+الكلام، بس طبعاً... طبعاً هم خلاص، هم ثبتوا من ناحية
+
+55
+00:04:15,770 --> 00:04:20,670
+الـ sorting، ثبتوا الوضع على... على هيك، هيثبت بس لما
+
+56
+00:04:20,670 --> 00:04:25,380
+أنتَ تترّدي التسلسل بالـ... وتوري... يعني توري الـ I و
+
+57
+00:04:25,380 --> 00:04:29,280
+الـ J، وين مواضعهم، هيبين ليش إنه ثبت، عموماً لو أنتَ
+
+58
+00:04:29,280 --> 00:04:34,000
+كتبتيلي هذا الكلام، وبعدين كتبتيلي بعدها، كأنّه الـ M
+
+59
+00:04:34,000 --> 00:04:38,100
+نزلت، وبعدين الـ P كانت هي الـ pivot، والـ X بعديها، و
+
+60
+00:04:38,100 --> 00:04:43,160
+بعدين نزل زي ما هو، أوضحت، أنه بعدها ما فيش حاجة...
+
+61
+00:04:43,160 --> 00:04:47,640
+حاجة حصلت، أغير، بقول لك okay، المطلب الثاني اللي هو
+
+62
+00:04:47,640 --> 00:04:53,340
+draw the Tree of Recursive Calls، أول Recursive Call
+
+63
+00:04:53,340 --> 00:04:57,680
+هتتم على الـ list كلها، على الأحرف كلها، لأن إيش
+
+64
+00:04:57,680 --> 00:05:01,800
+بنعمل؟ إيش اللي أنا محتاج أشوفه؟ محتاج أشوف أنّه عند
+
+65
+00:05:01,800 --> 00:05:09,040
+كل Recursive Call، إيش كان المدى، عملية الـ sorting
+
+66
+00:05:09,040 --> 00:05:14,980
+المدى تبعها، اشتغلت على مين بالظبط، في الـ Recursive
+
+67
+00:05:14,980 --> 00:05:17,560
+Call الأولى، هتشتغل على الجميع، من عندك
+
+68
+00:05:21,210 --> 00:05:28,710
+زيرو، من زيرو إلى ستة، نش ننسى أنّه الـ quick sort
+
+69
+00:05:28,710 --> 00:05:33,050
+بعطيها الـ array وبقول لها تبدأ وين الـ left، وين الـ
+
+70
+00:05:33,050 --> 00:05:37,670
+right، وهي نفس الـ array، لما بعمل recursive calls
+
+71
+00:05:37,670 --> 00:05:42,070
+داخلية، نفس الـ array، بس بكون غير مين الـ left ومين
+
+72
+00:05:42,070 --> 00:05:47,680
+الـ right في كل call، الآن في المُصّ هنا، بدنا نكتب وين
+
+73
+00:05:47,680 --> 00:05:53,660
+بعد ما يحصل الـ partitioning الأول، وين بيستقر الـ pivot
+
+74
+00:05:53,660 --> 00:05:59,460
+بيستقر على، two، okay، الآن بترتب على هذا الـ
+
+75
+00:05:59,460 --> 00:06:04,180
+recursive call، two calls، call على الشق الأيسر، و
+
+76
+00:06:04,180 --> 00:06:08,300
+call على الشق الأيمن، الشق الأيسر بيبدأ من zero لـ
+
+77
+00:06:11,920 --> 00:06:17,080
+الـ S ناقص واحد، الـ Pivot ناقص واحد، صح؟ والثاني
+
+78
+00:06:17,080 --> 00:06:22,020
+بيمشي على من الـ Pivot زائد واحد، اللي هي تلاتة
+
+79
+00:06:22,020 --> 00:06:25,780
+إلى الآخر،
+
+80
+00:06:25,780 --> 00:06:30,640
+okay؟ لأن هنا الـ Pivot هيرسي على أي موضوع بعد الـ
+
+81
+00:06:30,640 --> 00:06:34,380
+partitioning لهذه، هيرسي زي ما هو، هيظل زي ما هو،
+
+82
+00:06:34,380 --> 00:06:41,000
+مش هيتغير، okay؟ وهنا الـ Pivot اللي هي الـ M وين
+
+83
+00:06:41,000 --> 00:06:50,000
+هترسي؟ على Location 4، فهذا الـ Tree هيته كاملة هنا
+
+84
+00:06:50,000 --> 00:06:54,620
+في الـ solution، ماشي، الحل، الـ Tree كاملة هيته
+
+85
+00:06:56,070 --> 00:07:00,650
+الآن هنا في بعض الـ recursive calls
+
+86
+00:07:00,650 --> 00:07:06,930
+خلاص بيكون ال... ال... ال... وصلنا لإنه الـ input
+
+87
+00:07:06,930 --> 00:07:12,570
+تبع الـ call لا يحتوي على list، فما بيصيرش فيه
+
+88
+00:07:12,570 --> 00:07:18,070
+partitioning، okay، فبنتركها فاضية، ماشي، الحل هاي هنا
+
+89
+00:07:18,070 --> 00:07:22,950
+برضه موضح بالظبط الـ I والـ J، كيف حركتهم step by
+
+90
+00:07:22,950 --> 00:07:26,030
+step، ننتقل على السؤال اللي بعده يا بنت، عشان الوقت
+
+91
+00:07:26,030 --> 00:07:30,970
+لأن السؤال الثاني بيقول لك تحطي algorithm، بس مش عارف
+
+92
+00:07:30,970 --> 00:07:34,470
+إذا أنتم انتبهتوا ولا لأ، على أنه بده الـ algorithm
+
+93
+00:07:34,470 --> 00:07:37,990
+expressed بـ normal sentences، يعني بدون pseudocode
+
+94
+00:07:37,990 --> 00:07:43,510
+فالآن إيش اللي... خلوكم معايا لو سمحتوا، إيش المطلب؟
+
+95
+00:07:43,510 --> 00:07:46,750
+المطلب، إنه لو في عندي two lists of numbers، والـ
+
+96
+00:07:46,750 --> 00:07:51,170
+two lists sorted... sorted، هي بتبقى، ما الفرق... آه
+
+97
+00:07:51,170 --> 00:07:54,350
+لو عندي أنا ال... الـ two lists زي ما هو، ما طيني
+
+98
+00:07:54,350 --> 00:08:03,550
+مثال في السؤال، و
+
+99
+00:08:03,550 --> 00:08:08,070
+sorted، ماشي؟ فأنا، إيش المطلوب؟ أنه أعمل algorithm
+
+100
+00:08:08,070 --> 00:08:11,910
+يطلع لي الـ common elements، الـ common elements هنا
+
+101
+00:08:11,910 --> 00:08:18,610
+هم تلاتة elements، الاثنين، والخمسة، والخمسة، صح؟ بدي
+
+102
+00:08:18,610 --> 00:08:21,770
+أطلع هذا الكلام، إيش الـ algorithm اللي بدي أسويها؟
+
+103
+00:08:21,770 --> 00:08:28,890
+باجي بقف على رأس الـ list التانية، وبقارن، إذا والله
+
+104
+00:08:28,890 --> 00:08:35,780
+equal، بروح بسجلهم وبنتقل على اللي بعدهم، مش equal،
+
+105
+00:08:35,780 --> 00:08:42,360
+ليش بسوي؟ عشانها sorted، فأنا ما بديش أَنْتقل... أثبت
+
+106
+00:08:42,360 --> 00:08:46,160
+الاثنين، وأنتقل على الخمسة، بدي أثبت الخمسة، وأنتقل
+
+107
+00:08:46,160 --> 00:08:50,620
+عليها، بدي أحرك في الأصغر، بدي أحرك في الأصغر، لأن هذا
+
+108
+00:08:50,620 --> 00:08:54,740
+أكبر، احتمال يكون، إذا هذا لا يساوي، احتمال ييجي بعده
+
+109
+00:08:54,740 --> 00:08:59,580
+صح؟ بينما هذا الأصغر، إذا هذا لا يساوي اللي بعده
+
+110
+00:08:59,580 --> 00:09:04,470
+هيكون يميل، إذا بدي أقارن هذا باللي بعد هذا، قد يكون
+
+111
+00:09:04,470 --> 00:09:10,870
+زيّه أو أكبر، فالآن
+
+112
+00:09:10,870 --> 00:09:15,070
+أنا لأنّه مش متساوين، فبروحي بتحرك على اللي بعده، مش
+
+113
+00:09:15,070 --> 00:09:17,830
+متساوين، فبتحرك على اللي بعده، والآن آه متطابقين
+
+114
+00:09:17,830 --> 00:09:25,410
+فبسجل، وبعدين بنتقل على اللي بعده، متطابقين، لا يساوي،
+
+115
+00:09:25,410 --> 00:09:31,530
+بوجهه، فالـ algorithm أصبحت، أنّه بعمل هذه الـ array
+
+116
+00:09:31,530 --> 00:09:37,740
+بتكون empty، starting with the first elements of two
+
+117
+00:09:37,740 --> 00:09:43,980
+lists، بأكرر لحد ما واحدة من الإثنتين تخلص، واحدة من
+
+118
+00:09:43,980 --> 00:09:47,440
+الإثنتين ممكن تكون أكثر من الأخرى، فـ repeat the
+
+119
+00:09:47,440 --> 00:09:54,480
+following، إيش أسوي؟ الـ compare، إذا equal، بسجل، و
+
+120
+00:09:54,480 --> 00:10:00,780
+بقدم، بسجل، وبحرك، إذا equal، بسجل، وبنحرك في الإثنتين،
+
+121
+00:10:00,780 --> 00:10:08,130
+وإلا، بتحرك بس في الـ list اللي فيها العنصر الأصغر،
+
+122
+00:10:08,130 --> 00:10:11,170
+لأنّ
+
+123
+00:10:11,170 --> 00:10:13,570
+طالب، what is the maximum number of comparisons
+
+124
+00:10:13,570 --> 00:10:17,690
+جد، إيش عدد المقارنات في هذه الحالة؟ لحظة، إن هنا في أي
+
+125
+00:10:17,690 --> 00:10:26,230
+مقارنة، وبطلع، إذا مش متساوين، بقارن هذه في اللي
+
+126
+00:10:26,230 --> 00:10:31,470
+بعدها، هيبقى عملياً المقارنات، إن واحد من الـ two lists
+
+127
+00:10:31,470 --> 00:10:37,310
+هيتم مقارنات بعدد كل عنصر اللي فيها، والثاني أيضاً
+
+128
+00:10:37,310 --> 00:10:40,390
+مقارنات بعدد كل عنصر اللي فيها، لأن أنا بقف مع
+
+129
+00:10:40,390 --> 00:10:43,210
+هذه، وأقارن مع هنا، إذا ما طلعش، بدي أقارن مع هذه
+
+130
+00:10:43,210 --> 00:10:46,410
+مع اللي بعده، إذا طلع مش equal، بدي أقارن مع اللي
+
+131
+00:10:46,410 --> 00:10:52,250
+بعده، ماشي، خلصت هدول كلهم، بدي أرجع هذا، وأقارن، بس
+
+132
+00:10:52,250 --> 00:10:57,190
+هقارن من وين؟ من بعد ما انتهيت هنا، ففي المجمل عدد
+
+133
+00:10:57,190 --> 00:11:03,850
+المقارنة، يساوي اللي هو العدد الإجمالي لـ 2 lists N،
+
+134
+00:11:03,850 --> 00:11:08,830
+زي ما زي الواحد، اللي هو بيكون في عندي مقارنة زيادة،
+
+135
+00:11:08,830 --> 00:11:13,170
+خلاص، إحنا عموماً، الواحد هذا لو حطيته أو ما حطيتهوش مش
+
+136
+00:11:13,170 --> 00:11:16,670
+هي دي القضية، القضية أنّه عندي أنا أساساً لازم أَجمع
+
+137
+00:11:16,670 --> 00:11:22,870
+عدد مقارنات بطول الـ 2 lists، okay، الآن سؤال الثالث
+
+138
+00:11:22,870 --> 00:11:28,370
+هذا مر علينا شبهه قبل هيك، بس هنا في اختلاف بسيط، مش
+
+139
+00:11:28,370 --> 00:11:34,190
+عارف إن أنتَ تقوله ولا لأ، وهو أنّه، في ما مر علينا
+
+140
+00:11:34,190 --> 00:11:44,210
+قبل هيك، كانت الـ pattern هيك، طبعاً الـ pattern هذه مش
+
+141
+00:11:44,210 --> 00:11:52,830
+موجودة، فهيك هيك، هيمر على كل العناصر، ناقص M زائد
+
+142
+00:11:52,830 --> 00:12:00,790
+واحد، الـ N هنا 47، عدد ناقص 6، عدد الأحرف، زائد واحد
+
+143
+00:12:00,790 --> 00:12:07,430
+اللي هو يساوي إيش؟ 42، لأن لما كانت في حالة الـ G
+
+144
+00:12:07,430 --> 00:12:10,630
+كان المقارنة، لما بيصل الـ G مع الـ G
+
+145
+00:12:16,780 --> 00:12:19,320
+هذه المقارنة الأصلية، بعدها يجب أن يقارن الـ A
+
+146
+00:12:19,320 --> 00:12:23,500
+بالـ Space، ويكتشف أنه لا يتطابقه، ويخرج، يخرج من، من
+
+147
+00:12:23,500 --> 00:12:30,140
+من الـ M، ويكمل في الـ Page، في الـ Text، بس هنا ما فيه
+
+148
+00:12:30,140 --> 00:12:35,140
+عنده؟ فيه عنده L، M، B، أين جاية أول L؟ هذه أول L
+
+149
+00:12:35,140 --> 00:12:41,400
+تمام؟
+
+150
+00:12:41,400 --> 00:12:48,360
+هيقارن الـ L مع الـ L، هيقارن الـ I مع الـ I، ويكمل، و
+
+151
+00:12:48,360 --> 00:12:55,360
+بعدين يطلع، لأن الـ F مع الـ M، يبقى فيه two more هناك
+
+152
+00:12:55,360 --> 00:12:59,440
+كان عنده one more، فهنا اثنين وأربعين، زاد اثنين
+
+153
+00:12:59,440 --> 00:13:11,180
+ويساوي أربعة وأربعين، السؤال
+
+154
+00:13:11,180 --> 00:13:21,440
+هذا، اللي هو الـ depth search، فيه أن أول شيء طلبت
+
+155
+00:13:21,440 --> 00:13:25,660
+تحلي واحدة من الاثنين، لو لاحظتي أن هذا الـ graph في
+
+156
+00:13:25,660 --> 00:13:30,340
+cycle، فكونه في cycle هذا يجعله غير صالح للـ DFS،
+
+157
+00:13:30,340 --> 00:13:36,860
+أنها تعمل topological sort، أنا هتخش في loop، فبنقول
+
+158
+00:13:36,860 --> 00:13:40,280
+إنّه because، أن هذا الـ graph has a back edge من الـ
+
+159
+00:13:40,280 --> 00:13:42,740
+E للـ A، إحنا لو لاحظتي
+
+160
+00:13:45,590 --> 00:13:48,870
+لأنه فيه من الـ E للـ A، فكملت الـ cycle، وبالتالي
+
+161
+00:13:48,870 --> 00:13:54,770
+فلو أنتَ حكيت الكلمتين هذه، لو خلص، لو طلعت على الـ
+
+162
+00:13:54,770 --> 00:13:59,710
+graph، هذا الـ graph، هذا بدك تنتبه لشغلتين، أو لشغل
+
+163
+00:13:59,710 --> 00:14:05,090
+أساسي، وهي أن الـ D في منها link على الـ other edges
+
+164
+00:14:05,090 --> 00:14:08,730
+بس ما فيش edge عليها، okay، في هذه الحالة إيش اللي
+
+165
+00:14:08,730 --> 00:14:12,810
+بدها تسويه الـ algorithm؟ إنّه بعد ما تخلص... هي
+
+166
+00:14:12,810 --> 00:14:15,570
+هتبدأ بالـ A، بعد ما تخلص كل اللي بتفرعه من الـ A
+
+167
+00:14:15,570 --> 00:14:19,510
+هتطلع، تلاقي إنّه الـ input تبعها، إيش الـ input؟ اللي
+
+168
+0
+
+223
+00:18:35,730 --> 00:18:40,220
+بالأقلّ حاسب Okay تلاتة ثلاثة في عشر قصة ستة يعني
+
+224
+00:18:40,220 --> 00:18:45,600
+Zero point ثلاثة ثلاثة في عشر قصة ثمانية يعني
+
+225
+00:18:45,600 --> 00:18:49,540
+عملياً مش هتأخذ معاه لحكاية one second to generate
+
+226
+00:18:49,540 --> 00:18:53,520
+اللي هو الـ subsets فهذا realistic هذا unrealistic
+
+227
+00:18:53,520 --> 00:18:56,700
+Okay
+
+228
+00:18:56,700 --> 00:19:05,800
+طيب سؤال رقم ستة، سؤال رقم ستة بيطلب أولاً بيطلب اللي
+
+229
+00:19:05,800 --> 00:19:10,400
+هو لو العناصر هدول بدنا نعمل binary search فإيش الـ
+
+230
+00:19:10,400 --> 00:19:15,020
+worst case يعني what is the largest number of key
+
+231
+00:19:15,020 --> 00:19:20,360
+comparisons عدد الـ key comparisons بيتمدّ على اللي
+
+232
+00:19:20,360 --> 00:19:25,440
+هو عدد العناصر اللي في الـ array المعنى اللي حطيته لك
+
+233
+00:19:25,440 --> 00:19:31,080
+اللي هو in the worst case الـ comparisons فيها
+
+234
+00:19:32,740 --> 00:19:37,060
+ceiling للـ log in زي واحد  in هنا أنا جدّعش اتناشر
+
+235
+00:19:37,060 --> 00:19:42,060
+مازاز واحد تلتاش الـ log تبع تلتاش الـ ceiling تبعه
+
+236
+00:19:42,060 --> 00:19:48,220
+أربعة مظبوط okay فهذا الشقّ الأول، الشقّ الثاني أنه
+
+237
+00:19:48,220 --> 00:19:52,040
+list all the keys إيش السؤال بده كلّ الـ keys يعني
+
+238
+00:19:52,040 --> 00:19:56,700
+العناصر of this array that will require largest
+
+239
+00:19:56,700 --> 00:20:00,380
+number of search of comparisons عدد الـ comparisons
+
+240
+00:20:01,840 --> 00:20:06,700
+هذا هو أكبر عدد مقارنات، أربعة، أربع مقارنات عشان
+
+241
+00:20:06,700 --> 00:20:14,780
+أصل لأكثر key، أبعد key، أبعد key في الـ .. مين أقرب
+
+242
+00:20:14,780 --> 00:20:20,160
+key من ناحية الـ comparisons اللي في النص من أول ما
+
+243
+00:20:20,160 --> 00:20:24,890
+أروح أروح عليه وأقارن، طب مين بعده؟ بعده اللي في نصّ
+
+244
+00:20:24,890 --> 00:20:28,850
+اليمين واللي في نصّ الشمال، هدول اللي بعده في الـ
+
+245
+00:20:28,850 --> 00:20:33,910
+tree هذه بتوضح أنه هذا الـ key اللي موجود على موضوع
+
+246
+00:20:33,910 --> 00:20:39,090
+رقم 6 اللي هو الـ 55 بياخد معاه مقارنة واحدة، بعده
+
+247
+00:20:39,090 --> 00:20:41,990
+هدول بياخدو مقارنتين، يعني هذا level 1، هذا level
+
+248
+00:20:41,990 --> 00:20:44,710
+2، level 3، level 4، هدول الـ levels هنا عدد
+
+249
+00:20:44,710 --> 00:20:49,290
+المقارنات أيضاً، فمين اللي في الآخر بياخد 4، اللي هو
+
+250
+00:20:49,290 --> 00:20:53,180
+أقصى عدد من المقارنات؟ اللي هم هدول، فأنت لو
+
+251
+00:20:53,180 --> 00:20:56,640
+رسمتيها على شكل tree أو لو جيتي وقولتي لي one
+
+252
+00:20:56,640 --> 00:21:04,600
+الخمسة والخمسين ومقارنتين اللي هم السبعة والعشرين
+
+253
+00:21:04,600 --> 00:21:10,120
+والواحد وثمانين، تلات مقارنات، اللي بعدهم هدول زي
+
+254
+00:21:10,120 --> 00:21:16,840
+هيك برضه بيمشي الحال لو ما عملتيش tree يعني
+
+255
+00:21:16,840 --> 00:21:20,720
+جيتي وقولتي الخمسة والخمسين وبعدين السبعة والعشرين
+
+256
+00:21:21,000 --> 00:21:24,300
+و81، طب أنا كيف بدي أعرف أن هدول اثنين، أن هذا بياخد
+
+257
+00:21:24,300 --> 00:21:27,500
+مقارنة واحدة وهدول بياخدو مقارنة ثانية؟ عموماً في
+
+258
+00:21:27,500 --> 00:21:34,180
+الآخر إيش طلعتيهم .. طلعتي من الـ .. هدول الـ 14 والـ
+
+259
+00:21:34,180 --> 00:21:39,420
+31 و42 و74، هدول اللي بياخدو أربع مقارنات
+
+260
+00:21:39,420 --> 00:21:43,760
+سؤال
+
+261
+00:21:43,760 --> 00:21:49,700
+سبعة، لـ quick select، الـ Quick Select عشان نطلّع
+
+262
+00:21:49,700 --> 00:21:55,080
+اللي هو الـ Median، صح؟ الـ Quick Select برضه
+
+263
+00:21:55,080 --> 00:21:57,760
+بتعتمد على مثال الـ Partitioning اللي حكينا فيها
+
+264
+00:21:57,760 --> 00:22:01,360
+في السؤال اللي فات، بس جاب الـ Partitioning ضروري
+
+265
+00:22:01,360 --> 00:22:06,260
+احنا أن نسجل الملاحظات هذه، أول شيء عدد عناصر الأسئلة
+
+266
+00:22:06,260 --> 00:22:12,180
+سبعة، الـ K بيساوي N على 2، إيش
+
+267
+00:22:14,240 --> 00:22:19,380
+N على اثنين ceiling صح، والـ k ناقص واحد، ثلاثة، فالآن
+
+268
+00:22:19,380 --> 00:22:25,740
+أول شيء الـ partitioning لما نأخذ التسعة كـ pivot
+
+269
+00:22:25,740 --> 00:22:30,200
+تيجي التسعة وجابلها الخمسة والثمانية وبعدها
+
+270
+00:22:30,200 --> 00:22:34,800
+العناصر هذه لأن هذه أول partitioning، جدّعش الـ
+
+271
+00:22:34,800 --> 00:22:39,880
+position تبع التسعة تبع الـ pivot، صفر واحد اثنين
+
+272
+00:22:39,880 --> 00:22:45,190
+ثلاثة أربعة خمسة ستة، S بيساوي 2 صح؟ الـ pivot جاي
+
+273
+00:22:45,190 --> 00:22:48,210
+على الموضوع الرقم 2، ليش أنا بسأل السؤال هذا؟ لأن
+
+274
+00:22:48,210 --> 00:22:51,870
+على أساس الموضوع هذا بقرّر أستمرّ في الـ partitioning
+
+275
+00:22:51,870 --> 00:22:57,430
+ولا لأ، ليش؟ لأنه إذا S، الموضوع يتبع S بيساوي K ناقص
+
+276
+00:22:57,430 --> 00:23:01,590
+واحد، بوقف خلاص، والعنصر هذا اللي على S هو الـ
+
+277
+00:23:01,590 --> 00:23:07,810
+medium، أما إذا أقلّ، إذا أقلّ، إذا S أقلّ من K ناقص واحد
+
+278
+00:23:07,810 --> 00:23:12,370
+يبقى بدي أنتقل إلى مين؟ إلى الـ partition، أنا عندي
+
+279
+00:23:12,370 --> 00:23:14,170
+two partitions، هي هذا الـ partition وهذا الـ
+
+280
+00:23:14,170 --> 00:23:16,810
+partition الآخر، وهي الـ pivot في النصّ، بدي أنتقل للـ
+
+281
+00:23:16,810 --> 00:23:19,330
+partition اللي على اليمين، اللي على اليمين اللي هم
+
+282
+00:23:19,330 --> 00:23:23,310
+مين اللي
+
+283
+00:23:23,310 --> 00:23:26,990
+هم .. اه اللي هم هدول، فبدي أخدهم وأكرّر عليهم
+
+284
+00:23:26,990 --> 00:23:32,130
+عملية الـ partitioning، الـ 17 تنتقل وبيجي
+
+285
+00:23:32,130 --> 00:23:37,050
+جابلها الـ 12 وبعدها الـ 22 والـ 30، الآن بجيب هذا الـ
+
+286
+00:23:37,050 --> 00:23:41,320
+pivot، الآن على أيّ موضوع، خلّي بالك أنا هدول شطبتهم
+
+287
+00:23:41,320 --> 00:23:45,700
+عشان أنه خلّصنا يعني مش هنرجع لهم، هذه 0، هذه 1، هذه 4
+
+288
+00:23:45,700 --> 00:23:49,820
+صح، هي هذه 2 وهذه 3 وهذه 4، الآن S، آسف
+
+289
+00:23:49,820 --> 00:23:55,100
+أربعة، 0 1 2 3 4
+
+290
+00:23:55,100 --> 00:24:01,500
+لأ، المفروض إيش؟ آه
+
+291
+00:24:01,500 --> 00:24:05,550
+هي أربعة، صح؟ هذه هذه غلط، هذه أربعة، اللي يعني كـ  K
+
+292
+00:24:05,550 --> 00:24:08,550
+K ناقص واحد، احنا ثلاثة بالظبط، اللي يعني أربعة
+
+293
+00:24:08,550 --> 00:24:14,190
+أكبر من K ناقص واحد، صح؟ أكبر، يبقى برجع جوا، برجع
+
+294
+00:24:14,190 --> 00:24:18,090
+جوا، وين؟ في الـ part، هي هي الـ list اللي أنا الآن
+
+295
+00:24:18,090 --> 00:24:23,010
+فيها، وهي الـ part، الـ pivot، وهي الـ partition الشمال
+
+296
+00:24:23,010 --> 00:24:27,770
+اللي هي الـ 12، الـ 12 عندي أنا الآن هي الـ list اللي
+
+297
+00:24:27,770 --> 00:24:36,720
+بده أرجع لها، وهي عنصر واحد، فخلاص هي الـ هي نهاية
+
+298
+00:24:36,720 --> 00:24:42,720
+الـ Algorithm والموضوع تبعها اللي هو ثلاثة، بيساوي
+
+299
+00:24:42,720 --> 00:24:47,660
+الموضوع تبعها بيساوي K ناقص واحد، بيساوي K ناقص واحد
+
+300
+00:24:47,660 --> 00:24:53,200
+يبقى بوقف، واثناشر هي الـ median، هذا
+
+301
+00:24:53,200 --> 00:25:01,280
+بصلّحها، أنا بدأت خمسة، سبب أخليها أربعة، طيب لأن
+
+302
+00:25:01,280 --> 00:25:03,840
+السؤال هذا بده
+
+303
+00:25:08,570 --> 00:25:14,570
+ماذا نحن نحن نحن نحن نحن نحن نحن نحن
+
+304
+00:25:14,570 --> 00:25:17,730
+نحن
+
+305
+00:25:17,730 --> 00:25:18,090
+نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن
+
+306
+00:25:18,090 --> 00:25:18,310
+نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن
+
+307
+00:25:18,310 --> 00:25:19,390
+نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن
+
+308
+00:25:19,390 --> 00:25:29,570
+نحن نحن نحن نحن نـ
+
+309
+00:25:30,390 --> 00:25:32,810
+وبدي أشتغل عليها divide and conquer، أنا بدي أدوّر
+
+310
+00:25:32,810 --> 00:25:37,650
+على الـ max وبدّي الموضوع تبع الـ max، فإيش بسوي؟
+
+311
+00:25:37,650 --> 00:25:41,570
+بقسّمها نصّين وببحث عن الـ max في هذه وببحث عن الـ
+
+312
+00:25:41,570 --> 00:25:46,170
+max، الـ max تبع هذه والـ max تبع هذه، بعدين بقارنهم
+
+313
+00:25:46,170 --> 00:25:51,510
+في بعض، ماشي، أنا بأخذ الأكبر واحد في النصّ هذا و
+
+314
+00:25:51,510 --> 00:25:55,910
+أكبر واحد في النصّ هذا، بقارنهم في بعض، اللي أكبر
+
+315
+00:25:55,910 --> 00:26:03,740
+فيهم هو الأكبر في الكلّ، صح؟ ولا؟ فهي فكرة أنه هاي الـ
+
+316
+00:26:03,740 --> 00:26:07,600
+algorithm، أنه أنا بدي أستدعي الـ algorithm اللي
+
+317
+00:26:07,600 --> 00:26:13,160
+أستدعي نفسها على النصّ الأولاني، النصّ الأولاني بيبدأ
+
+318
+00:26:13,160 --> 00:26:17,660
+من L لغاية
+
+319
+00:26:17,660 --> 00:26:21,340
+إيش؟ L
+
+320
+00:26:21,340 --> 00:26:30,960
+زائد R على اثنين، وآخذ من الـ floor تبع ذلك، يعني تقول
+
+321
+00:26:30,960 --> 00:26:36,400
+مثلاً هي اثناشر، زي اللي قلت أول اثناشر على اثنين، ستة
+
+322
+00:26:36,400 --> 00:26:39,360
+فخلاص نفس اللغة تبقى ستة، يعني أنا بتبدأ من صفر
+
+323
+00:26:39,360 --> 00:26:44,900
+إلى ستة، طيب في النصّ الثاني بتبدأ من وين؟ من هذا
+
+324
+00:26:44,900 --> 00:26:55,780
+الكلام زائد واحد اللي هو سبعة إلى R، صح؟ الـ
+
+325
+00:26:55,780 --> 00:27:02,360
+output اللي هيجيني، أخزّنه فيه temp واحد، أو سمي هذا
+
+326
+00:27:02,360 --> 00:27:10,740
+اي left وهذا اي right، يعني الـ index تبع الـ maximum
+
+327
+00:27:10,740 --> 00:27:13,320
+في الـ left وهذا الـ index تبع الـ maximum في الـ
+
+328
+00:27:13,320 --> 00:27:17,460
+right وبقارنهم، بقارن مين؟ مش الـ indices، الحين
+
+329
+00:27:17,460 --> 00:27:20,400
+بقارن العناصر اللي جوا هذه الـ indices، أنه أنا هنا
+
+330
+00:27:20,400 --> 00:27:24,160
+برجع للـ index، بخشّ على هذا العنصر، بشوف إذا هذا
+
+331
+00:27:24,160 --> 00:27:29,660
+العنصر أكبر من الثاني، في القيمة الأكبر، بأخذه هو على
+
+332
+00:27:29,660 --> 00:27:32,480
+أنه وإلا بأخذ الثاني على أنه الـ maximum، الـ total
+
+333
+00:27:32,480 --> 00:27:35,940
+لأن هذا الاستدعاء وهذا الاستدعاء هيترتب عليه
+
+334
+00:27:35,940 --> 00:27:39,680
+يوم أيضاً استدعاءات،  كلّيه على أنه .. لأن النصّ
+
+335
+00:27:39,680 --> 00:27:42,480
+الأولى، يعني هذا كيف أنتِ حاسبتيه؟ بدي أجسّمه نصّين، وقسم
+
+336
+00:27:42,480 --> 00:27:48,080
+واستدعي على هذا واستدعي على النصّ الثاني، صح؟
+
+337
+00:27:52,590 --> 00:27:56,610
+السؤال في الشقّ ب، بيقول لي إيش هتسوي الـ algorithm
+
+338
+00:27:56,610 --> 00:28:02,050
+تبعِتك هذه لو احنا فيه أكتر من واحد max، يعني الـ 12
+
+339
+00:28:02,050 --> 00:28:10,610
+عنصر أعلى قيمة فيهم خمسين ومكرّرة تلات مرات، يعني
+
+340
+00:28:10,610 --> 00:28:15,010
+عندي هنا خمسين وعندي هنا خمسين وعندي هنا خمسين، مين
+
+341
+00:28:15,010 --> 00:28:17,630
+اللي هيطلع؟ إيش هتسوي الـ algorithm؟ هتطلع لي واحد منهم
+
+342
+00:28:17,630 --> 00:28:23,040
+ولا كلهم؟ واحد طبعاً، أنا واحد من اليمين ولا من
+
+343
+00:28:23,040 --> 00:28:27,320
+الشمال؟ من الشمال، لأنها راح تلاحظ بتقول إذا temp
+
+344
+00:28:27,320 --> 00:28:30,220
+واحد .. temp واحد اللي هو الـ maximum في اليسار
+
+345
+00:28:30,220 --> 00:28:39,600
+أكبر، فيطلع صح؟ صح؟ okay، لو قالت إذا temp 2 أكبر من
+
+346
+00:28:39,600 --> 00:28:43,640
+temp 1، معناته هيطلع العنصر اللي في الـ .. في اليمين
+
+347
+00:28:43,640 --> 00:28:48,200
+returns the index of the leftmost largest value
+
+348
+00:28:48,200 --> 00:28:56,360
+طبعاً هنا single، returns a single value، single
+
+349
+00:28:56,360 --> 00:29:00,080
+maximum، مش هتطلع لي من التلاتة كلها، okay، الآن الـ
+
+350
+00:29:00,080 --> 00:29:03,780
+recurrence، الـ recurrence اللي هي أنه أنا ببدأ أقول
+
+351
+00:29:03,780 --> 00:29:08,340
+الـ algorithm جدّعش عدد الـ، طبعاً هي بتعمل مقارنات
+
+352
+00:29:08,340 --> 00:29:12,940
+أكبر منه، جدّعش عدد المقارنات في حالة الـ zero، في
+
+353
+00:29:12,940 --> 00:29:17,880
+حالة الـ one، لما يكون يدخل لها الـ array طولها one، مش
+
+354
+00:29:17,880 --> 00:29:23,770
+هتعمل ولا مقارنة، صح؟ ليش؟ لأن هي l بساوية r، على
+
+355
+00:29:23,770 --> 00:29:29,210
+طولها، return L، مش هتعمل مقارنة بين العناصر، يعني بسّ
+
+356
+00:29:29,210 --> 00:29:34,050
+هتطلع أن الـ array طولها بيساوي واحد، الـ left هو نفس
+
+357
+00:29:34,050 --> 00:29:36,950
+الـ right، إذا الـ left هو نفس الـ right، يعني الـ array
+
+358
+00:29:36,950 --> 00:29:39,810
+اللي دخلت لها طولها بيساوي واحد، فهذه الحالة مش
+
+359
+00:29:39,810 --> 00:29:45,310
+هتعمل مقارنة، طيب أكتر من أكتر من واحد، في n أكبر من
+
+360
+00:29:45,310 --> 00:29:49,440
+واحد، جدّعش عدد المقارنة؟ وحكوا أن عدد المقارنة تبع
+
+361
+00:29:49,440 --> 00:29:54,040
+النصّ الأولاني زائد عدد المقارنة تبع النصّ الثاني، زائد
+
+362
+00:29:54,040 --> 00:29:56,500
+المقارنة اللي هيعملها ما بين الكبير فيها هدول والكبير
+
+363
+00:29:56,500 --> 00:30:00,700
+الكبير فيها هدول، زائد واحد، لأن لاحظ أن هنا في عندي
+
+364
+00:30:00,700 --> 00:30:06,440
+ceiling وهنا في floor، شايف كيف؟ بس هذا على أساس
+
+365
+00:30:06,440 --> 00:30:13,860
+أنه احنا المقارنة اللي هنا، أن عدد العناصر اللي هنا
+
+366
+00:30:13,860 --> 00:30:21,520
+يعني هذا بكمل على هذا، طيب
+
+367
+00:30:21,520 --> 00:30:27,100
+how does this algorithm compare في مقارنة مع الـ
+
+368
+00:30:27,100 --> 00:30:30,700
+brute force؟ مع الـ brute force كيف بدي أقارنها بالـ
+
+369
+00:30:30,700 --> 00:30:34,120
+brute force؟ الـ brute force هتيجي على الـ list واحد
+
+370
+00:30:34,120 --> 00:30:37,940
+ورا الثاني، وطبعاً كل ما تشوف واحد كبير هتعتبره هو
+
+371
+00:30:37,940 --> 00:30:41,200
+الأكبر، اللي تشوف أكبر منه هتعتبره هو أكبر منه
+
+372
+00:30:41,200 --> 00:30:44,200
+المهم هتدور عليهم كلهم، تعمل عند كل واحد منهم مقارنة
+
+373
+00:30:44,200 --> 00:30:48,380
+مع مين؟ مع الـ current max، طيب هذه يعني N، يعني big O
+
+374
+00:30:48,380 --> 00:30:52,120
+of N، هذه على أساس إيش؟ إن الـ max موجود في الآخر
+
+375
+00:30:52,840 --> 00:30:56,380
+وحتى لو .. لأ sorry .. حتى لو موجود في الأول، الـ
+
+376
+00:30:56,380 --> 00:30:59,420
+brute force لازم تلف الـ list كلها عشان تكتمل
+
+377
+00:30:59,420 --> 00:31:05,940
+المقارنات، طيب هذه اللي هي divide and conquer، جدّعش
+
+378
+00:31:05,940 --> 00:31:10,600
+عدد اللحظات إن احنا بنمشي على هدول كلهم، وأيضاً
+
+379
+00:31:10,600 --> 00:31:15,410
+بنمشي على هدول كلهم، وفي كلّ .. مرة بنجزّئ، بس في
+
+380
+00:31:15,410 --> 00:31:21,850
+الآخر لازم نقارن الكلّ، فهل هتبقى log ولا هتبقى n ولا
+
+381
+00:31:21,850 --> 00:31:28,370
+لأ هتبقى n²، إيش رأيك؟ إن مش n² ولا log، إمتى بتبقى
+
+382
+00:31:28,370 --> 00:31:34,250
+log؟ لو أنا بأخذ هدول وبانسى هدول، بتتقلّص معايا by
+
+383
+00:31:34,250 --> 00:31:39,290
+نصّ .. بالنصّ، لكن أنا ما بـ .. بـ .. بأنساش، أنا بعمل
+
+384
+00:31:39,290 --> 00:31:43,410
+هنا وبعمل هنا أيضاً، يبقى أنا بعمل مقارنات في هدول
+
+385
+00:31:43,410 --> 00:31:47,290
+وفي هدول، في كلّ واحد اللي بأجزئه على النصّ، هي ..
+
+386
+00:31:47,290 --> 00:31:50,270
+أنا في الآخر هأعمل مقارنات عليهم كلهم، بس قليلّة
+
+387
+00:31:50,270 --> 00:31:56,490
+الانتقال، الانتقال كانت إيش؟ recursive، يبقى برضه إن
+
+388
+00:31:56,490 --> 00:32:01,590
+لازم أعمل مقارنات عليهم كلهم، يبقى بتأتي نفس الـ
+
+389
+00:32:01,590 --> 00:32:08,770
+Complexity بـ O(N)، إنما هذه الـ Recursive
+
+390
+00:32:08,770 --> 00:32:14,510
+Algorithm بتتحمّل أو بتأخذ وقت أكتر لأن الـ
+
+391
+00:32:14,
+
+445
+00:36:23,890 --> 00:36:31,590
+أكثر من two children طيب، بنقدر نوقف هنا وربما في
+
+446
+00:36:31,590 --> 00:36:35,010
+المحاضرة الجاية، بنمر على السؤالين والضايلات أو
+
+447
+00:36:35,010 --> 00:36:39,330
+باكتفي بأن هذه الإجابات موجودة عندكم في الورقة
+
+448
+00:36:39,330 --> 00:36:42,930
+هذه موجودة الآن على Dropbox، وخلاص المحاضرة الجاية
+
+449
+00:36:42,930 --> 00:36:47,530
+بنكمل ماذا نحن واجهنا في الشريحة السابعة، أيوة اللي
+
+450
+00:36:47,530 --> 00:36:50,950
+هو الـ string matching بس على أساس بنشوف إيش الـ
+
+451
+00:36:50,950 --> 00:36:56,850
+time-space trade-off،  أعطيكم
+
+452
+00:36:56,850 --> 00:36:57,250
+العقل خير
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..1aeaf64f77b141db2ee8ce0b88eecc42a262d865
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110_postprocess.srt
@@ -0,0 +1,1808 @@
+1
+00:00:20,790 --> 00:00:23,450
+ماشى بسم الله الرحمن الرحيم وسهل الرحمن الرحيم يوم
+
+2
+00:00:23,450 --> 00:00:27,210
+يبدأ ان شاء الله بنمر على امتحان نص الفصل نراجع
+
+3
+00:00:27,210 --> 00:00:31,630
+الأسئلة ونشوف حلولها جد ما نقدر يعني هم يمكن
+
+4
+00:00:31,630 --> 00:00:34,450
+يكفلوا وجد ويمكن لأ بس جد ما نقدر بدنا نطلع على
+
+5
+00:00:34,450 --> 00:00:40,670
+السؤال هذا بيطلب ل list الأحرف هذه كلمة example
+
+6
+00:00:40,670 --> 00:00:46,030
+بدنا نعملها sorting بال quick sort you apply quick
+
+7
+00:00:46,030 --> 00:00:50,040
+sort to sort list ofIn alphabetical order, draw
+
+8
+00:00:50,040 --> 00:00:54,220
+the tree of recursive calls made.إن الـ recursive
+
+9
+00:00:54,220 --> 00:00:57,780
+calls، أولاً الـ quicksort دارعن الـ recursive
+
+10
+00:00:57,780 --> 00:01:01,060
+algorithm، مظبوط، بتعتمد على إيه؟ هش تعتمد على
+
+11
+00:01:01,060 --> 00:01:06,130
+قضية الـ partitioning، مظبوطبناخد أول حرف أو أول
+
+12
+00:01:06,130 --> 00:01:09,630
+عنصر في ال list على أنه pivot وبنقسم على أساسه لأن
+
+13
+00:01:09,630 --> 00:01:13,510
+انت يفترض أن عملية ال partitioning برضه كمان بدك
+
+14
+00:01:13,510 --> 00:01:17,090
+تنتبه أنه ممكن تنعمل بال one way partitioning أو
+
+15
+00:01:17,090 --> 00:01:19,470
+ال two way partitioning يعني إيش ال one way بجاندي
+
+16
+00:01:19,470 --> 00:01:23,890
+index واحد اللي هو I ألف أبحث عن عناصر اللي أقل من
+
+17
+00:01:23,890 --> 00:01:26,840
+عنصر اللي هو ال pivotبينما في الـ two-way بيبقى
+
+18
+00:01:26,840 --> 00:01:31,320
+فيها دي I و J و بيبقى ال I بتبحث عن الأكبر و ال J
+
+19
+00:01:31,320 --> 00:01:35,000
+بتبحث عن الأصغر عشان نعملهم swapping و بعدين نجيب
+
+20
+00:01:35,000 --> 00:01:39,540
+ال pivot و نحطه في النص ما بين ال two subsets او
+
+21
+00:01:39,540 --> 00:01:43,820
+ال two partitions فانت الآن بغض النظر ايش القليل
+
+22
+00:01:43,820 --> 00:01:47,180
+هتستخدميها اما one-way او two-way في الآخر انا
+
+23
+00:01:47,180 --> 00:01:54,660
+معنى بان اشوف ان والله ال list بدت بEXAMPLE
+
+24
+00:01:56,390 --> 00:02:03,990
+الـ Pivot هذا وين صفة فمن الطبيعي انه بتيجي ال A و
+
+25
+00:02:03,990 --> 00:02:10,430
+بعدين ال E الأخرى بعدين ال E و بيضل ال A هدول
+
+26
+00:02:10,430 --> 00:02:16,580
+الأحرف الأقل الأصغر و الأكبر بيجي اللي هو Mو ال P
+
+27
+00:02:16,580 --> 00:02:20,320
+و ال L و ال X ليش أجت ال X في الآخر؟ ليش ما جتش ال
+
+28
+00:02:20,320 --> 00:02:24,720
+X هنا؟ هذا بيتبد على كيف بالظبط قالية ال algorithm
+
+29
+00:02:24,720 --> 00:02:28,680
+القالية ال algorithm أول أشي ما هنبدأ هيبقى إذا
+
+30
+00:02:28,680 --> 00:02:33,240
+بنعملها two way هيبقى ال I هنا و ال J هنا هذا ال I
+
+31
+00:02:33,240 --> 00:02:37,440
+بيبحث عن من؟ عن الأحرف الأكبر فهو واقع الآن على
+
+32
+00:02:37,440 --> 00:02:43,040
+حرف أكبرو هذا وقع على حرف اصغر من او يساوي فالان
+
+33
+00:02:43,040 --> 00:02:45,600
+هنا بتيجي في ال algorithm عشان ايش تسوي تعمل
+
+34
+00:02:45,600 --> 00:02:51,600
+swapping فتعمل swapping لمين؟يأتي الـ E هنا والـ X
+
+35
+00:02:51,600 --> 00:02:55,460
+ينحدث على الآخر، لهذا السبب أجهزة الـ X في الآخر
+
+36
+00:02:55,460 --> 00:03:02,220
+لم تأتي ورا الـ E على طول، واضح؟ انا الآن التفاصيل
+
+37
+00:03:02,220 --> 00:03:06,740
+هذه لو انت حطيت في التفاصيل الـ I و الـ J خطوة
+
+38
+00:03:06,740 --> 00:03:09,020
+بخطوة زي ما انا هنا جايل انه
+
+39
+00:03:11,800 --> 00:03:14,460
+لأ أنا مش طالب ال iterations صح؟ مش طالب ال
+
+40
+00:03:14,460 --> 00:03:19,300
+iterations one by one في سؤال أسئلة أقرأ مطلوب بس
+
+41
+00:03:19,300 --> 00:03:22,880
+لو جيتي و قولتي أنه في أول partitioning هتبقى ال E
+
+42
+00:03:22,880 --> 00:03:25,840
+جاي هنا و اللي جاملة هدولة و هدولة جاملة و هدولة
+
+43
+00:03:25,840 --> 00:03:29,800
+بعدها ثم بعد هيك أيش اللي بيحصل الآن بيحصل استدعاء
+
+44
+00:03:29,800 --> 00:03:33,520
+لل quick sort على هذا ال partition و استدعاء آخر
+
+45
+00:03:33,520 --> 00:03:36,160
+على هذا ال partition فهتيجي تقولي لهذا ال
+
+46
+00:03:36,160 --> 00:03:40,490
+partition الآن أيش بيحصل فيههناخد ال a على انها
+
+47
+00:03:40,490 --> 00:03:43,410
+pivot وشوف اللي بعده اللي بعده بس هو الأنصر هذا
+
+48
+00:03:43,410 --> 00:03:48,610
+هيجي في ال I و الجي عليه ويتقدمه في الآخر مش هيصير
+
+49
+00:03:48,610 --> 00:03:52,790
+فيه swapping لأن ال a أصغر من ال E فهينزل هدولة زي
+
+50
+00:03:52,790 --> 00:03:56,410
+ما هم بينما هدولة هناخد ال M ك pivot
+
+51
+00:03:59,350 --> 00:04:03,530
+و نتيجة الترتيب انه هيجي ال L قبلها و تيجي ال M و
+
+52
+00:04:03,530 --> 00:04:10,490
+بعدها ال P و ال X الهدى ك Pivot هاي ال partition
+
+53
+00:04:10,490 --> 00:04:12,970
+اللي قبلها و هاي ال partition اللي بعدها هتكرر هذا
+
+54
+00:04:12,970 --> 00:04:15,770
+الكلام بس طبعا .. طبعا هم خلاص هم ثبتوا من ناحية
+
+55
+00:04:15,770 --> 00:04:20,670
+ال sorting ثبتوا الوضع على .. على هيك هيثبت بس لما
+
+56
+00:04:20,670 --> 00:04:25,380
+انت تارد التسلسلبال .. و توري .. يعني توري ال I و
+
+57
+00:04:25,380 --> 00:04:29,280
+ال J وين مواضعهم هيبين ليش انه ثبت عموما لو انت
+
+58
+00:04:29,280 --> 00:04:34,000
+كتبتيلي هذا الكلام و بعدين كتبتيلي بعدها كأنه ال M
+
+59
+00:04:34,000 --> 00:04:38,100
+نزلت و بعدين ال P كانت هي ال pivot و ال X بعديها و
+
+60
+00:04:38,100 --> 00:04:43,160
+بعدين نزل زي ما هو اوضحت انه بعدها مافيش حاجة ..
+
+61
+00:04:43,160 --> 00:04:47,640
+حاجة حصلت اغير بقولك okay المطلب التاني اللي هو
+
+62
+00:04:47,640 --> 00:04:53,340
+drawالـ Tree of Recursive Calls أول Recursive Call
+
+63
+00:04:53,340 --> 00:04:57,680
+هتتم على الليستة كلها على الأحرف كلها لأن إيش
+
+64
+00:04:57,680 --> 00:05:01,800
+بنسوي إيش اللي أنا محتاج أشوفه محتاج أشوف أنه عند
+
+65
+00:05:01,800 --> 00:05:09,040
+كل Recursive Call إيش كان المدى عملية ال sorting
+
+66
+00:05:09,040 --> 00:05:14,980
+المدى تبعها اشتغلت على مين بالظبط في ال Recursive
+
+67
+00:05:14,980 --> 00:05:17,560
+Call الأولى هتشتغل على الجميع من عندك
+
+68
+00:05:21,210 --> 00:05:28,710
+زيرو من زيرو إلى ستة نش ننسى انه ال quick sort
+
+69
+00:05:28,710 --> 00:05:33,050
+بعطيها ال array و بقولها تبدأ وين ال left وين ال
+
+70
+00:05:33,050 --> 00:05:37,670
+right و هي نفس ال array لما بعمل recursive calls
+
+71
+00:05:37,670 --> 00:05:42,070
+داخلية نفس ال array بس بكون غير مين ال left ومين
+
+72
+00:05:42,070 --> 00:05:47,680
+ال right في كل callالان في المُص هنا بدنا نكتب وين
+
+73
+00:05:47,680 --> 00:05:53,660
+بعد ما يحصل ال partition الأول وين بيستقر ال pivot
+
+74
+00:05:53,660 --> 00:05:59,460
+بيستقر على two okay الان بترتب على هذا ال
+
+75
+00:05:59,460 --> 00:06:04,180
+recursive call two calls call على الشق الأيصر و
+
+76
+00:06:04,180 --> 00:06:08,300
+call على الشق الأيمن الشق الأيصر بيبدأ من zero ل
+
+77
+00:06:11,920 --> 00:06:17,080
+الـ S نقص واحد الـ Pivot نقص واحد، صح؟ والتاني
+
+78
+00:06:17,080 --> 00:06:22,020
+بيمشي على من الـ Pivot زائر واحد، اللي هي تلاتة
+
+79
+00:06:22,020 --> 00:06:25,780
+إلى الآخر،
+
+80
+00:06:25,780 --> 00:06:30,640
+okay؟ لأن هنا الـ Pivot هيرسى على أي موضوع بعد الـ
+
+81
+00:06:30,640 --> 00:06:34,380
+partitioning لهذه، هيرسى زي ما هو، هيظل زي ما هو،
+
+82
+00:06:34,380 --> 00:06:41,000
+مش هيتغير، okay؟ وهناالـ Pivot اللي هي الـ M وين
+
+83
+00:06:41,000 --> 00:06:50,000
+هترسى؟ على Location 4 فهذا الـ Tree هيته كاملة هنا
+
+84
+00:06:50,000 --> 00:06:54,620
+في ال solution ماشي الحل الـ Tree كاملة هيته
+
+85
+00:06:56,070 --> 00:07:00,650
+الان هنا في بعض الاستدعاءات الـ recursive calls
+
+86
+00:07:00,650 --> 00:07:06,930
+خلاص بيكون ال .. ال .. ال .. وصلنا لإنه ال input
+
+87
+00:07:06,930 --> 00:07:12,570
+تبع ال call لا يحتوي على lista فما بيصيرش فيه
+
+88
+00:07:12,570 --> 00:07:18,070
+partitioning okay فبنتركها فاضيةماشي الحل هاي هنا
+
+89
+00:07:18,070 --> 00:07:22,950
+برضه موضح بالظبط ال I و ال J كيف حركتهم step by
+
+90
+00:07:22,950 --> 00:07:26,030
+step ننجل على السؤال اللي بعد يا بنت عشان الوجد
+
+91
+00:07:26,030 --> 00:07:30,970
+لأن السؤال التاني بيقولك تحطي algorithm بس مش عارف
+
+92
+00:07:30,970 --> 00:07:34,470
+إذا أنتم انتبهين ولا لأ على إنه بده ال algorithm
+
+93
+00:07:34,470 --> 00:07:37,990
+expressed ب normal sentences يعني بدون pseudocode
+
+94
+00:07:37,990 --> 00:07:43,510
+فالآن إيش اللي .. خلوكم معايا لو سمحتواإيش المطلب؟
+
+95
+00:07:43,510 --> 00:07:46,750
+المطلب إنه لو في عندي two lists of numbers و ال
+
+96
+00:07:46,750 --> 00:07:51,170
+two lists sorted .. sorted هي بتبقى ما الفرق .. اه
+
+97
+00:07:51,170 --> 00:07:54,350
+لو عندي انا ال .. ال two lists زي ما هو ماطيني
+
+98
+00:07:54,350 --> 00:08:03,550
+مثال في السؤال و
+
+99
+00:08:03,550 --> 00:08:08,070
+sorted ماشي؟فانا اش المطلوب انه اعمل algorithm
+
+100
+00:08:08,070 --> 00:08:11,910
+اطلعلي ال common elements ال common elements هنا
+
+101
+00:08:11,910 --> 00:08:18,610
+هم تلاتة elements الاتنين والخمسة والخمسة صح؟ بدي
+
+102
+00:08:18,610 --> 00:08:21,770
+اطلع هذا الكلام اش ال algorithm اللي بدي أسويها
+
+103
+00:08:21,770 --> 00:08:28,890
+باجي بجف على رأس ال list تاني و بقارن اذا والله
+
+104
+00:08:28,890 --> 00:08:35,780
+equal بروح بسجلهم و بنتقل على اللي بعدهممش equal،
+
+105
+00:08:35,780 --> 00:08:42,360
+ليش بسوي؟ عشانها sorted فأنا بديش أنتقل .. أثبت
+
+106
+00:08:42,360 --> 00:08:46,160
+الأتنين و أنتقل على الخمسة بدي أثبت الخمسة و أنتقل
+
+107
+00:08:46,160 --> 00:08:50,620
+عليه بدي أحرك في الأصغر بدي أحرك في الأصغر لأن هذا
+
+108
+00:08:50,620 --> 00:08:54,740
+أكبر احتمال يكون إذا هذا لا يسوي احتمال ييجي بعده
+
+109
+00:08:54,740 --> 00:08:59,580
+صح؟ بينما هذا الأصغر إذا هذا لا يسوي اللي بعده
+
+110
+00:08:59,580 --> 00:09:04,470
+هيكون يميل إذا بدي أقارن هذا باللي بعد هذاقد يكون
+
+111
+00:09:04,470 --> 00:09:10,870
+زيه أو أكبر فالان
+
+112
+00:09:10,870 --> 00:09:15,070
+أنا لأنه مش متساوين فبروح بتحرك على اللي بعده مش
+
+113
+00:09:15,070 --> 00:09:17,830
+متساوين فبتحرك على اللي بعده و الآن اه متطابقين
+
+114
+00:09:17,830 --> 00:09:25,410
+فبسجل و بعدين بنتقل على اللي بعد متطابقين لا يساوي
+
+115
+00:09:25,410 --> 00:09:31,530
+بوجهه فالألغوريثم أصبحت انه بعمل هذه ال array
+
+116
+00:09:31,530 --> 00:09:37,740
+بتكون emptystarting with the first elements of two
+
+117
+00:09:37,740 --> 00:09:43,980
+lists بكرر لحد ما واحدة من التنتين أخلص واحدة من
+
+118
+00:09:43,980 --> 00:09:47,440
+التنتين ممكن تكون أكثر من الأخرى ف repeat the
+
+119
+00:09:47,440 --> 00:09:54,480
+following إيش وسوي ال compare إذا equal بسجل و
+
+120
+00:09:54,480 --> 00:10:00,780
+بقدم بسجل و بحرك إذا equal بسجل و بتحرك في التنتين
+
+121
+00:10:00,780 --> 00:10:08,130
+وإلابتحرك بس في ال list اللي فيها العنصر الأصغر
+
+122
+00:10:08,130 --> 00:10:11,170
+لان
+
+123
+00:10:11,170 --> 00:10:13,570
+طالب what is the maximum number of comparisons
+
+124
+00:10:13,570 --> 00:10:17,690
+جداش عدد المقارنات في هذه الحالة لحظة ان هنا في أي
+
+125
+00:10:17,690 --> 00:10:26,230
+مقارنة و بطلع إذا مش متساويين بقارن هذه في اللي
+
+126
+00:10:26,230 --> 00:10:31,470
+بعدهايبقى عمليا المقارنات ان واحد من الـ two lists
+
+127
+00:10:31,470 --> 00:10:37,310
+هيتم مقارنات بعدد كل عنصر اللي فيها والتاني أيضا
+
+128
+00:10:37,310 --> 00:10:40,390
+مقارنات بعدد كل عنصر اللي فيها لأنه انا حاجف مع
+
+129
+00:10:40,390 --> 00:10:43,210
+هذه و اقارن مع هنا اذا ما طالعش بدي اقارن مع هذه
+
+130
+00:10:43,210 --> 00:10:46,410
+مع اللي بعده اذا طالع مش equal بدي اقارن مع اللي
+
+131
+00:10:46,410 --> 00:10:52,250
+بعده ماشي خلصت هدول كلهم بدي ارجع هذا و اقارن بس
+
+132
+00:10:52,250 --> 00:10:57,190
+هقارن من وين من بعد ما انتهيت هناففي المجمل عدد
+
+133
+00:10:57,190 --> 00:11:03,850
+المقارنة تساوي اللي هو العدد الإجمالي لـ 2 لسه N
+
+134
+00:11:03,850 --> 00:11:08,830
+زي م زي الواحد اللي هو بيكون في عندي مقارنة زيادة
+
+135
+00:11:08,830 --> 00:11:13,170
+خلاص احنا عموما الواحد هذا لو حطتيه او ماحطتهوش مش
+
+136
+00:11:13,170 --> 00:11:16,670
+هذ القضية القضية انه عندي انا بالاساس لازم اعقد
+
+137
+00:11:16,670 --> 00:11:22,870
+عدد مقارنات بطول الـ 2 لسه okayالان سؤال التالت
+
+138
+00:11:22,870 --> 00:11:28,370
+هذا مر علينا شبهه قبل هيك بس هنا في اختلاف بسيط مش
+
+139
+00:11:28,370 --> 00:11:34,190
+عارف ان انت ماتقوله ولا لأ و هو انه في ما مر علينا
+
+140
+00:11:34,190 --> 00:11:44,210
+قبل هيك كانت ال pattern هيك طبعا ال pattern هذه مش
+
+141
+00:11:44,210 --> 00:11:52,830
+موجودة ف هيك هيك هيمر على كل العناصرن ناقص M زايد
+
+142
+00:11:52,830 --> 00:12:00,790
+واحد ال N هنا 47 عدد ناقص 6 عدد الأحرف زايد واحد
+
+143
+00:12:00,790 --> 00:12:07,430
+اللي هو يساوي إيش 42 لأن لما كانت في حالة غاندي
+
+144
+00:12:07,430 --> 00:12:10,630
+كان المقارنة لما بيصل ال G مع ال G
+
+145
+00:12:16,780 --> 00:12:19,320
+هذه المقارنة الأصلية بعدها يجب أن يقارن الـA
+
+146
+00:12:19,320 --> 00:12:23,500
+بالـSpace ويكتشف أنه لا يتطابقه ويخرج يخرج من من
+
+147
+00:12:23,500 --> 00:12:30,140
+من الـM ويكمل في الـPagin في الـText بس هنا ما فيه
+
+148
+00:12:30,140 --> 00:12:35,140
+عنده؟ فيه عنده L M B أين جاية أول L؟ هذه أول L
+
+149
+00:12:35,140 --> 00:12:41,400
+تمام؟
+
+150
+00:12:41,400 --> 00:12:48,360
+هيقارن الـL مع الـL هيقارن الـI مع الـIو يكمل و
+
+151
+00:12:48,360 --> 00:12:55,360
+بعدين يطلع لأن الـF مع الـM يبقى فيه two more هناك
+
+152
+00:12:55,360 --> 00:12:59,440
+كان عنده one more فهنا اتنين و اربعين زاد اتنين
+
+153
+00:12:59,440 --> 00:13:11,180
+وساوي اربع اربعين السؤال
+
+154
+00:13:11,180 --> 00:13:21,440
+هذااللي هو الـ depth search فيه أن أول شيء طلبت
+
+155
+00:13:21,440 --> 00:13:25,660
+تحلي واحدة من الاتنين لو لاحظتي أن هذا ال graph في
+
+156
+00:13:25,660 --> 00:13:30,340
+cycle فكونه في cycle هذا يجعله غير صالح لل DFS
+
+157
+00:13:30,340 --> 00:13:36,860
+أنها تعمل topological sort أنا هتخش في loop فبنقول
+
+158
+00:13:36,860 --> 00:13:40,280
+انه because ان هذا ال graph has a back edge من ال
+
+159
+00:13:40,280 --> 00:13:42,740
+E للA احنا لو لاحظتي
+
+160
+00:13:45,590 --> 00:13:48,870
+لأنه فيه من الـ E للـ A فكملت الـ cycle وبالتالي
+
+161
+00:13:48,870 --> 00:13:54,770
+فلو انت حكيت الكلمتين هذه لو خلص لو طلعت على ال
+
+162
+00:13:54,770 --> 00:13:59,710
+graph هذا ال graph هذا بدك تنتبه لشغلتين او لشغل
+
+163
+00:13:59,710 --> 00:14:05,090
+أساسي وهي ان ال D في منها link على ال other edges
+
+164
+00:14:05,090 --> 00:14:08,730
+بس مافيش edge عليهاOkay في هذه الحالة إيش اللي
+
+165
+00:14:08,730 --> 00:14:12,810
+بدها تسويه ال algorithm؟ إنه بعد ما تخلص .. هي
+
+166
+00:14:12,810 --> 00:14:15,570
+هتبدأ بال A بعد ما تخلص كل اللي بتفرعه من ال A
+
+167
+00:14:15,570 --> 00:14:19,510
+هتطلع تلاقي إنه ال input تبعها إيش ال input؟ اللي
+
+168
+00:14:19,510 --> 00:14:23,130
+هو ال graph اللي هو ال vertices فيه لسه ضايقين لم
+
+169
+00:14:23,130 --> 00:14:27,330
+يتم التعامل معهم اللي هي من ال D يعني بعد ما تخلص
+
+170
+00:14:27,330 --> 00:14:29,850
+هذه الدوشة كلها .. الحين هحناحكي فيها ده بعد ما
+
+171
+00:14:29,850 --> 00:14:36,230
+تخلص هذا الكلام كله ال D هذه لازم نعمل shot أخرعلى
+
+172
+00:14:36,230 --> 00:14:39,810
+ال D و بعدين نكتشف ان كل اللي بتفرع منها مارين
+
+173
+00:14:39,810 --> 00:14:43,610
+عليهم فبالتالي نطلعها هي زي اللي حالها طيب الأن
+
+174
+00:14:43,610 --> 00:14:46,850
+اول ما هتبدأ ال algorithm هتبدأ من ال A هتروح على
+
+175
+00:14:46,850 --> 00:14:49,810
+اللي بتفرع منها كل واحد اللي بتفرع منها هتحطه على
+
+176
+00:14:49,810 --> 00:14:53,270
+ال stack فال A هتدخل بعدين ال B الأرقام هي دي
+
+177
+00:14:53,270 --> 00:14:57,130
+خلوكم منها شوية الآن هحكيها ال A بعدين ال B بعدين
+
+178
+00:14:57,130 --> 00:15:02,050
+ال E بعدين ايش بتفرع من ال E؟ ولا إشي فهترجع تاني
+
+179
+00:15:02,050 --> 00:15:07,280
+لل B ال B بتفرع منها ال Gصح؟ بعدين الـG بتفرع منها
+
+180
+00:15:07,280 --> 00:15:11,860
+الـF بعدين الـF بتفرع منها الـC لأ طبعا ماتفرعش
+
+181
+00:15:11,860 --> 00:15:17,120
+منها فالحين لما ترجع ولا الـA هتشوف الـC لأن الـA
+
+182
+00:15:17,120 --> 00:15:20,860
+في أنها two children احنا خشينا في واحد والان
+
+183
+00:15:20,860 --> 00:15:27,440
+بنشوف التاني okay الان ترتيب الخروج من ال stack هو
+
+184
+00:15:27,440 --> 00:15:30,710
+هذا اللي بلزم في عملية ال sortingTopological
+
+185
+00:15:30,710 --> 00:15:35,090
+Sorting أنا حاطه على .. بالاسهم هذه انه ليش ال E
+
+186
+00:15:35,090 --> 00:15:38,110
+أول واحدة؟ ليش ال E أول واحدة؟ لأنه مايلها
+
+187
+00:15:38,110 --> 00:15:42,530
+children خلاص leaf node فبنطلحها و بنرجع على ال
+
+188
+00:15:42,530 --> 00:15:46,990
+parent تبعها بنشوف ال G تمام؟ بنخش على ال G بنلاقي
+
+189
+00:15:46,990 --> 00:15:49,970
+إليها child ال F بنحطه على ال stack و بعدين
+
+190
+00:15:49,970 --> 00:15:55,930
+بنطلحها مباشرة لأنه برضه مالهاش leaf nodesOkay
+
+191
+00:15:55,930 --> 00:15:59,810
+بنرجع على ال G خلصنا من ال children تبعها فبتطلع
+
+192
+00:15:59,810 --> 00:16:04,790
+بنرجع تاني على ال B مظبوط خلصنا من ال children
+
+193
+00:16:04,790 --> 00:16:09,970
+تبعها فبتطلع بنرجع تاني على ال A لسه ضايل اللي هو
+
+194
+00:16:09,970 --> 00:16:15,350
+ال C فبتطلع ال C رقم 5 قبل ما تطلع بعدين تطلع ال A
+
+195
+00:16:15,350 --> 00:16:23,070
+Okay طيب السؤال اللي بعدهسؤال الـ Permutations و
+
+196
+00:16:23,070 --> 00:16:27,670
+الـ Subsets هذا السؤال بيسأل ببساطة لو أنا عندي
+
+197
+00:16:27,670 --> 00:16:31,150
+خمسة و عشرين element في مجموعة مجموعة فيها خمسة و
+
+198
+00:16:31,150 --> 00:16:35,890
+عشرين element و بدي أعمل permutations و بدي أعمل
+
+199
+00:16:35,890 --> 00:16:42,810
+subsets خمسة و عشرين okay على أساس علمي بيه ال
+
+200
+00:16:42,810 --> 00:16:45,530
+complexity تبع ال permutations و ال complexity تبع
+
+201
+00:16:45,530 --> 00:16:50,670
+ال subsetsالـ Pair Mutations بتاخد N factorial
+
+202
+00:16:50,670 --> 00:16:55,770
+يساوي 25 factorial والـ Subsets بتاخد 2 to the N
+
+203
+00:16:55,770 --> 00:17:00,290
+مش
+
+204
+00:17:00,290 --> 00:17:06,430
+مكتوب الإجابة هنا 2 to the N يساوي إيش؟ 2 أُص 25
+
+205
+00:17:06,430 --> 00:17:11,430
+الآن ببساطة بدنا ننظر إلى هدول المقادير الإتنين
+
+206
+00:17:11,430 --> 00:17:17,570
+ونشوف مين منهم فعلا ال ..في حدود قدرة الجهاز اللي
+
+207
+00:17:17,570 --> 00:17:21,870
+هو عشرة اعتبر كل permutation يولدها هي operation
+
+208
+00:17:21,870 --> 00:17:26,390
+اعتبر كل subset يعملها هي operation فأكم subset
+
+209
+00:17:26,390 --> 00:17:28,850
+يعني أكم operation أكم permutation يعني أكم
+
+210
+00:17:28,850 --> 00:17:34,430
+operation فهنا ال 25 فاكتوريا هذا رقم مهول يعني لو
+
+211
+00:17:34,430 --> 00:17:38,390
+طلعنا عليه هنلاقيه في حدود العشرة اقص خمسة وعشرين
+
+212
+00:17:38,390 --> 00:17:44,810
+عشرة اقص خمسة وعشرين وانا عندي systemيعني عشرة قص
+
+213
+00:17:44,810 --> 00:17:50,810
+خمسة و عشرين operation على عشرة قص تمانية يعني
+
+214
+00:17:50,810 --> 00:17:58,170
+عندي عشرة قص سبعتاشر عشرة قص سبعتاشر ثانية صح هو
+
+215
+00:17:58,170 --> 00:18:03,970
+بسوي عشرة قص تمانية operation في الثانية فجسمنا
+
+216
+00:18:03,970 --> 00:18:09,590
+هذا على فبطلع معايا عدد الثوانية هذا الكلامشيء
+
+217
+00:18:09,590 --> 00:18:14,930
+كبير جدا لأن الساعة الواحدة ستين في ستين تلات تلاف
+
+218
+00:18:14,930 --> 00:18:17,990
+في ستمية تلات تلاف في ستمية جسمها على تلات تلاف في
+
+219
+00:18:17,990 --> 00:18:21,530
+ستمية بيطلع عندك عدد مهول من الساعات ف it is not
+
+220
+00:18:21,530 --> 00:18:26,450
+realistic it is not realistic انما هذا الاتنين
+
+221
+00:18:26,450 --> 00:18:31,210
+أقصى خمسة وعشرين بتيجي بحدود التلاتة وتلاتين في
+
+222
+00:18:31,210 --> 00:18:35,730
+عشر أقصى في ستة طبعا كيف أنا بعرف المقادير هذه
+
+223
+00:18:35,730 --> 00:18:40,220
+بالأقل حاسبOkay تلاتة تلاتية في عشر قصة ستة يعني
+
+224
+00:18:40,220 --> 00:18:45,600
+Zero point تلاتة تلاتة في عشر قصة تمانية يعني
+
+225
+00:18:45,600 --> 00:18:49,540
+عمليا مش هتاخد معاه لحكاية one second to generate
+
+226
+00:18:49,540 --> 00:18:53,520
+اللي هو ال subsets فهذا realistic هذا unrealistic
+
+227
+00:18:53,520 --> 00:18:56,700
+Okay
+
+228
+00:18:56,700 --> 00:19:05,800
+طيب سؤال رقم ستة سؤال رقم ستةبيطلب اولا بيطلب اللي
+
+229
+00:19:05,800 --> 00:19:10,400
+هو لو العناصر هدولة بدنا نعمل binary search فاش ال
+
+230
+00:19:10,400 --> 00:19:15,020
+worst case يعني what is the largest number of key
+
+231
+00:19:15,020 --> 00:19:20,360
+comparisons عدد ال key comparisons بيتمد على اللي
+
+232
+00:19:20,360 --> 00:19:25,440
+هو عدد العناصر اللي في ال array المعنى اللي احططلك
+
+233
+00:19:25,440 --> 00:19:31,080
+اللي هو in the worst case ال comparisons فيها
+
+234
+00:19:32,740 --> 00:19:37,060
+ceiling للـ log in زي واحد in هنا أنا جداش اتناش
+
+235
+00:19:37,060 --> 00:19:42,060
+مازا واحد تلتاش ال log تبع تلتاش ال ceiling تبعه
+
+236
+00:19:42,060 --> 00:19:48,220
+اربعة مظبوط okay فهذا الشق الأول الشق التاني انه
+
+237
+00:19:48,220 --> 00:19:52,040
+list all the keys ايش السؤال بده كل ال keys يعني
+
+238
+00:19:52,040 --> 00:19:56,700
+العناصر of this array that will require largest
+
+239
+00:19:56,700 --> 00:20:00,380
+number of search of comparisons عدد ال comparisons
+
+240
+00:20:01,840 --> 00:20:06,700
+هذا هو أكبر عدد مقارنات أربعة أربع مقارنات عشان
+
+241
+00:20:06,700 --> 00:20:14,780
+أصل لأكثر key أبعد key أبعد key في ال .. مين أقرب
+
+242
+00:20:14,780 --> 00:20:20,160
+key من ناحية ال comparisons اللي في النص من أول ما
+
+243
+00:20:20,160 --> 00:20:24,890
+أروح أروح عليه و أقارنطب مين بعده؟ بعده اللي في نص
+
+244
+00:20:24,890 --> 00:20:28,850
+اليمين و اللي في نص الشمال، هدول اللي بعده ف الـ
+
+245
+00:20:28,850 --> 00:20:33,910
+Tree هذه بتوضح أنه هذا ال key اللي موجود على موضوع
+
+246
+00:20:33,910 --> 00:20:39,090
+رقم 6 اللي هو الـ 55 بياخد معاه مقارنة واحدة بعده
+
+247
+00:20:39,090 --> 00:20:41,990
+هدولة بياخدوه مقارنتين يعني هدا level 1، هدا level
+
+248
+00:20:41,990 --> 00:20:44,710
+2، level 3، level 4، هدول ال levels هنا عدد
+
+249
+00:20:44,710 --> 00:20:49,290
+المقارنات أيضا فمين اللي في الآخر بياخد 4، اللي هو
+
+250
+00:20:49,290 --> 00:20:53,180
+أقصى عدد من المقارنات؟ اللي هم هدولةفانت لو
+
+251
+00:20:53,180 --> 00:20:56,640
+رسمتيها على شكل three او لو جيتي و قولتي لي one
+
+252
+00:20:56,640 --> 00:21:04,600
+الخمس و الخمسين و مقارنتين اللي هم ال سبعة و عشرين
+
+253
+00:21:04,600 --> 00:21:10,120
+و الواحد تمانين تلت مقارنات اللي بعد هم دولة زي
+
+254
+00:21:10,120 --> 00:21:16,840
+هيك برضه بيمشي الحال لو ماعملتيش لتن يعني
+
+255
+00:21:16,840 --> 00:21:20,720
+جيت و قولتي الخمس و الخمسين و بعدين السبعة و عشرين
+
+256
+00:21:21,000 --> 00:21:24,300
+و81 طب انا كيف بدي اعرف ان هدول اتنين ان هذا بياخد
+
+257
+00:21:24,300 --> 00:21:27,500
+مقارنة واحد و هدول بياخد مقارنة تانية؟ عموما في
+
+258
+00:21:27,500 --> 00:21:34,180
+الآخر ايش طلعتيهم .. طلعتي من ال .. هدول ال 14 و
+
+259
+00:21:34,180 --> 00:21:39,420
+ال 31 و 42 و 74 هدول اللي بياخدوا اربع مقارنات
+
+260
+00:21:39,420 --> 00:21:43,760
+سؤال
+
+261
+00:21:43,760 --> 00:21:49,700
+سبعة ل quick selectالـ Quick Select عشان نطلّع
+
+262
+00:21:49,700 --> 00:21:55,080
+اللي هو الـ Median، صح؟ الـ Quick Select برضه
+
+263
+00:21:55,080 --> 00:21:57,760
+بتعتمد على مثلة الـ Partitioning اللي حكينا فيها
+
+264
+00:21:57,760 --> 00:22:01,360
+في السؤال اللي فات بس جاب الـ Partitioning ضروري
+
+265
+00:22:01,360 --> 00:22:06,260
+احنا ان نسجل الملاحظات هذه أول شي عدد عناصر الاسدة
+
+266
+00:22:06,260 --> 00:22:12,180
+سبعة الـ K بساوي N على 2 إش
+
+267
+00:22:14,240 --> 00:22:19,380
+ن على اتنين ceiling صح و ال k نقص واحد تلاتة فالان
+
+268
+00:22:19,380 --> 00:22:25,740
+اول اشي ال partitioning لما ناخد التسعة ك pivot
+
+269
+00:22:25,740 --> 00:22:30,200
+تيجي التسعة و جابلها الخمسة والتمانية و بعدها
+
+270
+00:22:30,200 --> 00:22:34,800
+العناصر هذه لان هذه اول partitioning جداش ال
+
+271
+00:22:34,800 --> 00:22:39,880
+position تبع التسعة تبع ال pivot Zero واحد اتنين
+
+272
+00:22:39,880 --> 00:22:45,190
+تلاتة اربع خمسة ستةS بيساوي 2 صح؟ الـ pivot جاي
+
+273
+00:22:45,190 --> 00:22:48,210
+على الموضوع الرقم 2 ليش أنا بسأل السؤال هذا؟ لأن
+
+274
+00:22:48,210 --> 00:22:51,870
+على أساس الموضوع هذا بقرر أستمر في ال partitioning
+
+275
+00:22:51,870 --> 00:22:57,430
+ولا لأ ليش؟ لأنه إذا S الموضوع يتبع S يساوي K نقص
+
+276
+00:22:57,430 --> 00:23:01,590
+واحد بوقف خلاص و العنصر هذا اللي على S هو ال
+
+277
+00:23:01,590 --> 00:23:07,810
+medium أما إذا أقل إذا أقل إذا S أقل من K نقص واحد
+
+278
+00:23:07,810 --> 00:23:12,370
+يبقى بدي أنتقل إلى مين؟إلى الـ partition أنا عندي
+
+279
+00:23:12,370 --> 00:23:14,170
+two partitions هي هذا ال partition و هذا ال
+
+280
+00:23:14,170 --> 00:23:16,810
+partition الآخر وهي ال pivot في الماص بدي أنتقل لل
+
+281
+00:23:16,810 --> 00:23:19,330
+partition اللي على اليمين اللي على اليمين اللي هم
+
+282
+00:23:19,330 --> 00:23:23,310
+مين اللي
+
+283
+00:23:23,310 --> 00:23:26,990
+هم .. اه اللي هم هدولة فبدي أخدهم و أكرر عليهم
+
+284
+00:23:26,990 --> 00:23:32,130
+عملية ليش ال partitioning ال 17 تنتقل و بيجي
+
+285
+00:23:32,130 --> 00:23:37,050
+جابلها ال 12 و بعدها ال 22 و ال 30 الان بجف هذا ال
+
+286
+00:23:37,050 --> 00:23:41,320
+pivot الآن على أي موضوعخلّي بالك أنا هذول شطبتهم
+
+287
+00:23:41,320 --> 00:23:45,700
+عشان انه خلصنا يعني مش هنرجعلهم هذي 01 هذا أربعة
+
+288
+00:23:45,700 --> 00:23:49,820
+صح هي هذي اتنين و هذي تلاتة و هذي أربعة الان S أسف
+
+289
+00:23:49,820 --> 00:23:55,100
+أربعة 01234
+
+290
+00:23:55,100 --> 00:24:01,500
+لأ المفروض ايش اه
+
+291
+00:24:01,500 --> 00:24:05,550
+هي أربعة صح هذي هذي غلط هذي أربعةاللي يعني كداش
+
+292
+00:24:05,550 --> 00:24:08,550
+كيه ناقص واحد احنا تلاتة بالظبط اللي يعني أربع
+
+293
+00:24:08,550 --> 00:24:14,190
+أكبر من كيه ناقص واحد صح أكبر يبقى برجع الجوا برجع
+
+294
+00:24:14,190 --> 00:24:18,090
+الجوا وين في ال part هي هي ال list اللي انا الآن
+
+295
+00:24:18,090 --> 00:24:23,010
+فيها وهي ال part ال pivot وهي ال partition الشمال
+
+296
+00:24:23,010 --> 00:24:27,770
+اللي هي ال 12 ال 12 عندي انا الآن هي ال lift اللي
+
+297
+00:24:27,770 --> 00:24:36,720
+بده ارجعلها وهي عنصر واحد فخلاص هي ال الهي نهاية
+
+298
+00:24:36,720 --> 00:24:42,720
+الـ Algorithm والموضوع تبعها اللي هو تلاتة يساوي
+
+299
+00:24:42,720 --> 00:24:47,660
+الموضوع تبعها يساوي K نقص واحد يساوي K نقص واحد
+
+300
+00:24:47,660 --> 00:24:53,200
+يبقى بوجفه واتناشر هي ال median هذا
+
+301
+00:24:53,200 --> 00:25:01,280
+بصلحها أنا بدأت خمس سبب أخليها أربعة طيب لأن
+
+302
+00:25:01,280 --> 00:25:03,840
+السؤال هذا بده
+
+303
+00:25:08,570 --> 00:25:14,570
+ماذا نحن نحن نحن نحن نحن نحن نحن نحن
+
+304
+00:25:14,570 --> 00:25:17,730
+نحن
+
+305
+00:25:17,730 --> 00:25:18,090
+نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن
+
+306
+00:25:18,090 --> 00:25:18,310
+نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن
+
+307
+00:25:18,310 --> 00:25:19,390
+نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن نحن
+
+308
+00:25:19,390 --> 00:25:29,570
+نحن نحن نحن نحن نح
+
+309
+00:25:30,390 --> 00:25:32,810
+وبدي اشتغل عليها divide and conquer انا بدي ادور
+
+310
+00:25:32,810 --> 00:25:37,650
+علي ال max وبيده الموضوع تبع ال max فإيش بسوي
+
+311
+00:25:37,650 --> 00:25:41,570
+باقسمها نصين و ببحث عن ال max في هذه و ببحث عن ال
+
+312
+00:25:41,570 --> 00:25:46,170
+max ال max تبع هذه و ال max تبع هذه بعدين بقارنهم
+
+313
+00:25:46,170 --> 00:25:51,510
+في بعض ماشي انا مطلق الأكبر واحد في النص هذا و
+
+314
+00:25:51,510 --> 00:25:55,910
+أكبر واحد في النص هذا بقارنهم في بعض اللي أكبر
+
+315
+00:25:55,910 --> 00:26:03,740
+فيهم هو الأكبر في الكل صح ولافهي القرري انه هاي ال
+
+316
+00:26:03,740 --> 00:26:07,600
+algorithm انه انا بدي استدهي ال algorithm اللي
+
+317
+00:26:07,600 --> 00:26:13,160
+استدهي نفسها على النص الأولاني النص الأولاني بيبدأ
+
+318
+00:26:13,160 --> 00:26:17,660
+من lift لغاية
+
+319
+00:26:17,660 --> 00:26:21,340
+ايش L
+
+320
+00:26:21,340 --> 00:26:30,960
+زائد R على اتنين واخد من ال floor تبع ذلكيعني تقول
+
+321
+00:26:30,960 --> 00:26:36,400
+مثلا هي اتناش زي اللي قلت اول اتناش على اتنين ستة
+
+322
+00:26:36,400 --> 00:26:39,360
+فخلاص نفس اللغة تبقى ستة يعني أنا بتبدأ من zero
+
+323
+00:26:39,360 --> 00:26:44,900
+إلى ستة طيب في النص التاني بتبدأ من وين من هذا
+
+324
+00:26:44,900 --> 00:26:55,780
+الكلام زاد واحد اللي هو سبعة إلى R صح ال
+
+325
+00:26:55,780 --> 00:27:02,360
+output اللي هيجينيهخزنه فيه temp واحد او سمي هذا
+
+326
+00:27:02,360 --> 00:27:10,740
+اي left وهذا اي right يعني ال index تبع ال maximum
+
+327
+00:27:10,740 --> 00:27:13,320
+في ال left وهذا ال index تبع ال maximum في ال
+
+328
+00:27:13,320 --> 00:27:17,460
+right وبقارنهم بقارن مين عدمش ال indices هلحين
+
+329
+00:27:17,460 --> 00:27:20,400
+بقارن العناصر اللي جوا هذه ال indices انه انا هنا
+
+330
+00:27:20,400 --> 00:27:24,160
+برجع لل index بخش على هذا العنصر بشوف اذا هذا
+
+331
+00:27:24,160 --> 00:27:29,660
+العنصر اكبر من الأو في القيمة الأكبر باخده هو على
+
+332
+00:27:29,660 --> 00:27:32,480
+إنه وإلا باخد التاني على إنه ال maximum ال total
+
+333
+00:27:32,480 --> 00:27:35,940
+لأن هذه الاستدعاء هذا والاستدعاء هذا هيترتب على
+
+334
+00:27:35,940 --> 00:27:39,680
+يوم ايضا استدعاء دا كليه على انه .. لأن النص
+
+335
+00:27:39,680 --> 00:27:42,480
+الأولى يعني هذا كيف انت حاسبه؟ بدي اجسمه نصيا وقاش
+
+336
+00:27:42,480 --> 00:27:48,080
+واستدعي على هذا واستدعي على النص التاني صح؟
+
+337
+00:27:52,590 --> 00:27:56,610
+السؤال في الشق بيه بيقول لي ايش هسوي ال algorithm
+
+338
+00:27:56,610 --> 00:28:02,050
+تبعتك هذه لو احنا فيه اكتر من واحد max يعني ال 12
+
+339
+00:28:02,050 --> 00:28:10,610
+عنصر اعلى قيمة فيهم خمسين ومكررة تلت مرات يعني
+
+340
+00:28:10,610 --> 00:28:15,010
+عندي هنا خمسين وعندي هنا خمسين وعندي هنا خمسين مين
+
+341
+00:28:15,010 --> 00:28:17,630
+اللي هيطلع ايش هسوي ال algorithm هتطلعلي واحد منهم
+
+342
+00:28:17,630 --> 00:28:23,040
+ولا كلهم واحد طبعا انا واحد من الاليمين ولا من
+
+343
+00:28:23,040 --> 00:28:27,320
+الشمال؟ من الشمال لأنها راحظ بيش بتقول إذا temp
+
+344
+00:28:27,320 --> 00:28:30,220
+واحد .. temp واحد اللي هو ال maximum في اليسار
+
+345
+00:28:30,220 --> 00:28:39,600
+أكبر فيطلع صح؟ صح؟ okay لو جالت إذا temp 2 أكبر من
+
+346
+00:28:39,600 --> 00:28:43,640
+temp 1 معناته هيطلع الأنصر اللي في ال .. في اليمين
+
+347
+00:28:43,640 --> 00:28:48,200
+returns the index of the leftmost largest value
+
+348
+00:28:48,200 --> 00:28:56,360
+طبعا هنا singlereturns a single value single
+
+349
+00:28:56,360 --> 00:29:00,080
+maximum مش هتطلع ليها من التلاتة كلها okay الآن ال
+
+350
+00:29:00,080 --> 00:29:03,780
+recurrence ال recurrence اللي هي انه انا بدأ اقول
+
+351
+00:29:03,780 --> 00:29:08,340
+ال algorithm جديش عدد ال طبعا هي بتعمل مقارنات
+
+352
+00:29:08,340 --> 00:29:12,940
+اكبر منه جديش عدد المقارنات في حالة ال zero في
+
+353
+00:29:12,940 --> 00:29:17,880
+حالة ال one لما يكون يدخلها ال ray طولها one همش
+
+354
+00:29:17,880 --> 00:29:23,770
+هتعمل ولا مقارنة صح؟ ليش؟لأن هي fl بساوية r على
+
+355
+00:29:23,770 --> 00:29:29,210
+طول return L مش هتعمل مقارنة بين العناصر يعني بس
+
+356
+00:29:29,210 --> 00:29:34,050
+هتتطلع أن ال array طولها يساوي واحد ال left هو نفس
+
+357
+00:29:34,050 --> 00:29:36,950
+ال right إذا ال left هو نفس ال right يعني ال array
+
+358
+00:29:36,950 --> 00:29:39,810
+اللي دخلت لها طولها يساوي واحد فهذه الحالة مش
+
+359
+00:29:39,810 --> 00:29:45,310
+هتعمل مقارنة طيب أكتر من أكتر من واحد في n أكبر من
+
+360
+00:29:45,310 --> 00:29:49,440
+واحدجدّيش عدد المقارنة وحكوا ان عدد المقارنة تبع
+
+361
+00:29:49,440 --> 00:29:54,040
+النص الأولاني زاد عدد المقارنة تبع النص التاني زاد
+
+362
+00:29:54,040 --> 00:29:56,500
+المقارنة اللي هيعقدها ما بين الكبير فيها دولة و
+
+363
+00:29:56,500 --> 00:30:00,700
+الكبير فيها دولة زاد واحد لان لاحظ ان هنا في ياندي
+
+364
+00:30:00,700 --> 00:30:06,440
+ceiling و هنا في floor شايف كيف بس هذا على أساس
+
+365
+00:30:06,440 --> 00:30:13,860
+انه احنا المقارنة اللي هنا ان عدد العناصراللي هنا
+
+366
+00:30:13,860 --> 00:30:21,520
+يعني هذا بكمل على هذا طيب
+
+367
+00:30:21,520 --> 00:30:27,100
+how does this algorithm compare في مقارنة مع ال
+
+368
+00:30:27,100 --> 00:30:30,700
+brute force؟مع الـ brute force كيف بدي أقارنها بال
+
+369
+00:30:30,700 --> 00:30:34,120
+brute force؟ ال brute force هتيجي على ال list واحد
+
+370
+00:30:34,120 --> 00:30:37,940
+ورا التاني و طبعا كل ما تشوف واحد كبير هتعتبره هو
+
+371
+00:30:37,940 --> 00:30:41,200
+الأكبر اللي تشوف أكبر منه هتعتبره هو أكبر منه
+
+372
+00:30:41,200 --> 00:30:44,200
+المهم هترف عليهم كلهم تعمل عند كل واحد منهم مقارنة
+
+373
+00:30:44,200 --> 00:30:48,380
+مع مين مع ال current max طيب هذه يعني N يعني big O
+
+374
+00:30:48,380 --> 00:30:52,120
+of N هذه على أساس إيش؟ إن ال max موجود في الآخر
+
+375
+00:30:52,840 --> 00:30:56,380
+وحتى لو .. لأ sorry .. حتى لو موجود في الأول ال
+
+376
+00:30:56,380 --> 00:30:59,420
+brute force لازم تلف ال list كلها عشان تكتمل
+
+377
+00:30:59,420 --> 00:31:05,940
+المقارنات طيب هذه اللي هي divide and conquer كداش
+
+378
+00:31:05,940 --> 00:31:10,600
+عدد اللحظ ان احنا بنمشي علي هدولة كلهم و ايضا
+
+379
+00:31:10,600 --> 00:31:15,410
+بنمشي علي هدولة كلهم و في كل ..مرة بنجزّن بس في
+
+380
+00:31:15,410 --> 00:31:21,850
+الآخر لازم نقارن الكل فهل هتبقى log و لا هتبقى n و
+
+381
+00:31:21,850 --> 00:31:28,370
+لا هتبقى n² ايش رايكو ان مش n² ولا log امتى بتبقى
+
+382
+00:31:28,370 --> 00:31:34,250
+log لو انا باخد هدولة و بانسى هدولة بتتقلص معاياby
+
+383
+00:31:34,250 --> 00:31:39,290
+نص .. بالنص لكن أنا ما ب .. ب .. بأنساش أنا بعمل
+
+384
+00:31:39,290 --> 00:31:43,410
+هنا و بعمل هنا أيضا يبجي أنا بعمل مقاريات في هدولة
+
+385
+00:31:43,410 --> 00:31:47,290
+و في هدولة في كل واحد اللي بجسمه على النص هي ..
+
+386
+00:31:47,290 --> 00:31:50,270
+انا في الأخر هعمل مقاريات عليهم كلهم بس قلية
+
+387
+00:31:50,270 --> 00:31:56,490
+الانتقال الانتقال كانت إيش recursive يبجي برضه إن
+
+388
+00:31:56,490 --> 00:32:01,590
+لازم أعمل مقاريات عليهم كلهميبقى تأتي نفس الـ
+
+389
+00:32:01,590 --> 00:32:08,770
+Complexity بـ GovN إنما هذه الـ Recursive
+
+390
+00:32:08,770 --> 00:32:14,510
+Algorithm بتتحمل أو بتاخد وجهة أكتر لأن الـ
+
+391
+00:32:14,510 --> 00:32:21,090
+Recursive Calls في حد ذاتها Overhead، بالظبط. آخر
+
+392
+00:32:21,090 --> 00:32:27,010
+سؤالين، كده معانا وجهت؟ضايق معناه شويه بس تلت دجاج
+
+393
+00:32:27,010 --> 00:32:30,890
+السؤال هذا outline ال algorithm بده منك برضه
+
+394
+00:32:30,890 --> 00:32:35,030
+algorithm و برضه expressed in normal sentences مش
+
+395
+00:32:35,030 --> 00:32:39,290
+يعني pseudocode ليش؟ ان أهنا finding the largest
+
+396
+00:32:39,290 --> 00:32:42,630
+key in a binary search tree ال binary search tree
+
+397
+00:32:42,630 --> 00:32:48,370
+already معروف انه العنصر اللي على يمين ال child
+
+398
+00:32:48,370 --> 00:32:50,570
+اللي على يمين أكبر و ال child اللي على شمال أصغر
+
+399
+00:32:50,570 --> 00:32:54,600
+صح؟أنا بدي أدور على الأكبر .. وين الأكبر بتوقع
+
+400
+00:32:54,600 --> 00:32:59,080
+يكون؟ على اليمين .. وين على اليمين؟ في أقصى اليمين
+
+401
+00:32:59,080 --> 00:33:03,760
+.. و .. و .. و برضه كمان deep في اليمين .. صح؟
+
+402
+00:33:03,760 --> 00:33:09,320
+يعني أكبر واحد في ال tree هيبقى .. فأنا كله ببساطة
+
+403
+00:33:09,320 --> 00:33:15,290
+بدي algorithm تاخد ال tree و تمشيعلى يمين يمين
+
+404
+00:33:15,290 --> 00:33:22,430
+يمين وتأخذ أول leaf على اليمين لما تصل ل leaf
+
+405
+00:33:22,430 --> 00:33:28,570
+تأخذها حتى لو كانت ال leaf لسه فيها شوف كيف هي
+
+406
+00:33:28,570 --> 00:33:32,090
+الشمال وهذا ممكن يكون متفرع منه وهذا بس هذه هتكون
+
+407
+00:33:32,090 --> 00:33:37,570
+أكبر من كل اللي على الشمال مظبوط ولا لأ فأول leaf
+
+408
+00:33:37,570 --> 00:33:41,730
+على أقصى اليمين أول leaf على أقصى اليمينفـ
+
+409
+00:33:41,730 --> 00:33:45,630
+recursively go to the right subtree until a node
+
+410
+00:33:45,630 --> 00:33:52,170
+with the empty right subtree is reached نود مافيش
+
+411
+00:33:52,170 --> 00:34:00,110
+فيها فيه لشمال ربما بس ماليهاش يمين فهذه باخدها
+
+412
+00:34:00,110 --> 00:34:01,550
+على إن هي ال key
+
+413
+00:34:05,600 --> 00:34:09,380
+الان هذا ال .. ال algorithm هي اي كل اللي بديها ..
+
+414
+00:34:09,380 --> 00:34:13,400
+بيقولك normal sentences فانا اذا بتكتبيها الكلمتين
+
+415
+00:34:13,400 --> 00:34:15,620
+اللي بالعربي او بالانجليزي مش طالب انا pseudocode
+
+416
+00:34:16,250 --> 00:34:19,330
+هل تقوم بتصميم هذه الألغوة كـ Variable Size
+
+417
+00:34:19,330 --> 00:34:21,970
+Decrease؟ تذكروا الـ Variable Size Decrease؟ هم
+
+418
+00:34:21,970 --> 00:34:26,970
+نقلص أولاً هي Decrease لأنه أنا بمر هدولة و بانسى
+
+419
+00:34:26,970 --> 00:34:30,170
+هدولة، صح؟ مش زي الـ Divide and Conquer، لازم أشوف
+
+420
+00:34:30,170 --> 00:34:33,170
+الناحيتين، لأ أولاً هي Decrease، طيب هل هي
+
+421
+00:34:33,170 --> 00:34:35,950
+Variable Size و لا Fixed Size و لا Decrease by
+
+422
+00:34:35,950 --> 00:34:41,600
+One؟أنا لما بنتقل من هنا لما ببقى هنا ببقى ال
+
+423
+00:34:41,600 --> 00:34:45,260
+problem تبعتي هي كل الشجرة لما بنتقل هنا ال
+
+424
+00:34:45,260 --> 00:34:49,200
+problem تبعتي هي هذا الفرع و اللي بتفرع منها بنتقل
+
+425
+00:34:49,200 --> 00:34:52,300
+هنا الفرع هذا و اللي بتفرق طيب هل ال decrease هذا
+
+426
+00:34:52,300 --> 00:34:56,950
+بمعدل ثابت لأ لأنه انا ممكن يبقى هنا على الشمالأقل
+
+427
+00:34:56,950 --> 00:35:01,170
+وعلى اليمين notes كتيرة وعلى الشمال أقل فهذا
+
+428
+00:35:01,170 --> 00:35:06,010
+variable size او ال decrease بيحدث بتناقص متفاوت
+
+429
+00:35:06,010 --> 00:35:10,890
+القدر تناقص من one call to the other متفاوت القدر
+
+430
+00:35:10,890 --> 00:35:14,210
+فنعم it is لأنه after each step to the right بعد
+
+431
+00:35:14,210 --> 00:35:17,390
+ما انتقل على اليمين it moves to the root كل root
+
+432
+00:35:17,390 --> 00:35:24,050
+بتحته subtree مختلفة في ال size والاختلاف غير
+
+433
+00:35:24,050 --> 00:35:31,010
+محكوم يعنيWhat is the time efficiency؟ خلّي بالك
+
+434
+00:35:31,010 --> 00:35:35,350
+ال best case ان ال largest يبقى main هو ال root
+
+435
+00:35:35,350 --> 00:35:39,250
+ايش معناته؟ مافيش right tree بالمرة، كل ال tree
+
+436
+00:35:39,250 --> 00:35:44,150
+مزيها على الشمال، هذا ال best case يبقى عمل best
+
+437
+00:35:44,150 --> 00:35:50,270
+case big omega of one، in one comparison ال worst
+
+438
+00:35:50,270 --> 00:35:56,000
+case ان كل ال tree زيح على اليمينومش بس هيك انه
+
+439
+00:35:56,000 --> 00:35:59,780
+كلهم مافيش شمال بالمرة يعني الـ tree كلها عمليا
+
+440
+00:35:59,780 --> 00:36:05,460
+هيك صح ولا لأ؟ هذا أكبر من هذا و هذا أكبر من هذا و
+
+441
+00:36:05,460 --> 00:36:09,140
+هذا أكبر من هذا و مافيش شمال بالمرة يبقى أنا هخش
+
+442
+00:36:09,140 --> 00:36:13,100
+عليهم كل ياتهم كأنه sequential search أصبحت فهي
+
+443
+00:36:13,100 --> 00:36:18,050
+بتصبح big O of Nوالـ Average بين الاتنين الـ O لـ
+
+444
+00:36:18,050 --> 00:36:23,890
+N لأنها باينرى لأنها باينرى صح ان النوت الواحدة مش
+
+445
+00:36:23,890 --> 00:36:31,590
+اكتر من two children طيب بنقدر نوقف هنا و ربما في
+
+446
+00:36:31,590 --> 00:36:35,010
+المحاضرة الجاية بنمر على السؤالين و الضايلات او
+
+447
+00:36:35,010 --> 00:36:39,330
+باكتفي بأنه هذه الإجابات موجودة عندكم في الورقة
+
+448
+00:36:39,330 --> 00:36:42,930
+هذه موجودة الآن على dropboxوخلاص المحاضرة الجاية
+
+449
+00:36:42,930 --> 00:36:47,530
+بنكمل ماذا احنا واجفنا في شابطه السابعة أيوة اللي
+
+450
+00:36:47,530 --> 00:36:50,950
+هو ال string matching بس على أساس بنشوف إيش ال
+
+451
+00:36:50,950 --> 00:36:56,850
+space trade-off ال time space trade-off أعطيكم
+
+452
+00:36:56,850 --> 00:36:57,250
+العقل خير
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..2da08044378806e16f7061cf52cb276dee315c1f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/8mXtGQF2110_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4769, "start": 20.79, "end": 47.69, "text": "ماشى بسم الله الرحمن الرحيم وسهل الرحمن الرحيم يوم يبدأ ان شاء الله بنمر على امتحان نص الفصل نراجع الأسئلة ونشوف حلولها جد ما نقدر يعني هم يمكن يكفلوا وجد ويمكن لأ بس جد ما نقدر بدنا نطلع على السؤال هذا بيطلب ل list الأحرف هذه كلمة example بدنا نعملها sorting بال quick sort you apply quick sort to sort list of", "tokens": [2304, 33599, 7578, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 46952, 3224, 1211, 34892, 5016, 27842, 34892, 5016, 32640, 7251, 20498, 7251, 44510, 10721, 16472, 13412, 16606, 21984, 44945, 29973, 15844, 1975, 2304, 2655, 5016, 7649, 8717, 9381, 27188, 36520, 8717, 2288, 26108, 3615, 16247, 3794, 19986, 37977, 4032, 1863, 8592, 38688, 11331, 1211, 12610, 11296, 10874, 3215, 19446, 8717, 28543, 2288, 37495, 22653, 8032, 2304, 7251, 43020, 7251, 4117, 5172, 1211, 14407, 49610, 3215, 4032, 32640, 19452, 5296, 10721, 4724, 3794, 10874, 3215, 19446, 8717, 28543, 2288, 47525, 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"end": 373.74, "word": " الـ", "probability": 0.630126953125}, {"start": 373.74, "end": 373.94, "word": " Pivot", "probability": 0.6776123046875}, {"start": 373.94, "end": 374.24, "word": " نقص", "probability": 0.95556640625}, {"start": 374.24, "end": 374.68, "word": " واحد،", "probability": 0.7196858723958334}, {"start": 374.68, "end": 375.5, "word": " صح؟", "probability": 0.9708658854166666}, {"start": 375.5, "end": 377.08, "word": " والتاني", "probability": 0.90625}, {"start": 377.08, "end": 378.02, "word": " بيمشي", "probability": 0.8907470703125}, {"start": 378.02, "end": 378.24, "word": " على", "probability": 0.78271484375}, {"start": 378.24, "end": 379.68, "word": " من", "probability": 0.73193359375}, {"start": 379.68, "end": 380.52, "word": " الـ", "probability": 0.762939453125}, {"start": 380.52, "end": 380.72, "word": " Pivot", "probability": 0.948974609375}, {"start": 380.72, "end": 380.96, "word": " زائر", "probability": 0.7379557291666666}, {"start": 380.96, "end": 381.32, "word": " واحد،", "probability": 0.86767578125}, {"start": 381.32, "end": 381.38, "word": " اللي", "probability": 0.720458984375}, {"start": 381.38, "end": 381.48, "word": " هي", "probability": 0.93408203125}, {"start": 381.48, "end": 382.02, "word": " تلاتة", "probability": 0.9200439453125}, {"start": 382.02, "end": 382.64, "word": " إلى", "probability": 0.66259765625}, {"start": 382.64, "end": 385.78, "word": " الآخر،", "probability": 0.7769775390625}, {"start": 385.78, "end": 386.24, "word": " okay؟", "probability": 0.4561767578125}, {"start": 386.24, "end": 386.46, "word": " لأن", "probability": 0.645751953125}, {"start": 386.46, "end": 387.24, "word": " هنا", "probability": 0.9501953125}, {"start": 387.24, "end": 387.76, "word": " الـ", "probability": 0.947509765625}, {"start": 387.76, "end": 388.02, "word": " Pivot", "probability": 0.949951171875}, {"start": 388.02, "end": 389.36, "word": " هيرسى", "probability": 0.7054443359375}, {"start": 389.36, "end": 389.6, "word": " على", "probability": 0.94580078125}, {"start": 389.6, "end": 389.84, "word": " أي", "probability": 0.91015625}, {"start": 389.84, "end": 390.22, "word": " موضوع", "probability": 0.916015625}, {"start": 390.22, "end": 390.44, "word": " بعد", "probability": 0.9736328125}, {"start": 390.44, "end": 390.64, "word": " الـ", "probability": 0.8583984375}, {"start": 390.64, "end": 391.1, "word": " partitioning", "probability": 0.6507568359375}, {"start": 391.1, "end": 392.18, "word": " لهذه،", "probability": 0.7980143229166666}, {"start": 392.18, "end": 392.8, "word": " هيرسى", "probability": 0.9642333984375}, {"start": 392.8, "end": 393.0, "word": " زي", "probability": 0.975830078125}, {"start": 393.0, "end": 393.08, "word": " ما", "probability": 0.9853515625}, {"start": 393.08, "end": 393.32, "word": " هو،", "probability": 0.97216796875}, {"start": 393.32, "end": 393.6, "word": " هيظل", "probability": 0.810546875}, {"start": 393.6, "end": 393.82, "word": " زي", "probability": 0.993408203125}, {"start": 393.82, "end": 393.92, "word": " ما", "probability": 0.978515625}, {"start": 393.92, "end": 394.38, "word": " هو،", "probability": 0.965576171875}, {"start": 394.38, "end": 394.48, "word": " مش", "probability": 0.89306640625}, {"start": 394.48, "end": 395.84, "word": " هيتغير،", "probability": 0.86005859375}, {"start": 395.84, "end": 398.12, "word": " okay؟", "probability": 0.94091796875}, {"start": 398.12, "end": 398.64, "word": " وهنا", "probability": 0.876220703125}], "temperature": 1.0}, {"id": 17, "seek": 41462, "start": 399.36, "end": 414.62, "text": "الـ Pivot اللي هي الـ M وين هترسى؟ على Location 4 فهذا الـ Tree هيته كاملة هنا في ال solution ماشي الحل الـ Tree كاملة هيته", "tokens": [6027, 39184, 430, 13142, 13672, 1829, 39896, 2423, 39184, 376, 4032, 9957, 8032, 2655, 2288, 3794, 7578, 22807, 15844, 12859, 399, 1017, 6156, 3224, 15730, 2423, 39184, 22291, 39896, 47395, 9122, 10943, 37977, 34105, 8978, 2423, 3827, 3714, 33599, 1829, 21542, 1211, 2423, 39184, 22291, 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404.58, "word": " 4", "probability": 0.80859375}, {"start": 404.58, "end": 407.42, "word": " فهذا", "probability": 0.7405598958333334}, {"start": 407.42, "end": 407.64, "word": " الـ", "probability": 0.427734375}, {"start": 407.64, "end": 407.94, "word": " Tree", "probability": 0.8193359375}, {"start": 407.94, "end": 408.44, "word": " هيته", "probability": 0.49664306640625}, {"start": 408.44, "end": 409.26, "word": " كاملة", "probability": 0.9729817708333334}, {"start": 409.26, "end": 410.0, "word": " هنا", "probability": 0.7060546875}, {"start": 410.0, "end": 410.16, "word": " في", "probability": 0.9443359375}, {"start": 410.16, "end": 410.3, "word": " ال", "probability": 0.80908203125}, {"start": 410.3, "end": 410.8, "word": " solution", "probability": 0.5234375}, {"start": 410.8, "end": 411.3, "word": " ماشي", "probability": 0.7989908854166666}, {"start": 411.3, "end": 411.58, "word": " الحل", "probability": 0.79345703125}, {"start": 411.58, "end": 411.8, "word": " الـ", 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"ماشي الحل هاي هنا برضه موضح بالظبط ال I و ال J كيف حركتهم step by step ننجل على السؤال اللي بعد يا بنت عشان الوجد لأن السؤال التاني بيقولك تحطي algorithm بس مش عارف إذا أنتم انتبهين ولا لأ على إنه بده ال algorithm expressed ب normal sentences يعني بدون pseudocode فالآن إيش اللي .. خلوكم معايا لو سمحتوا", "tokens": [2304, 33599, 1829, 21542, 1211, 8032, 47302, 34105, 4724, 43042, 3224, 3714, 2407, 11242, 5016, 20666, 19913, 3555, 9566, 2423, 286, 4032, 2423, 508, 9122, 33911, 11331, 31747, 2655, 16095, 1823, 538, 1823, 8717, 1863, 7435, 1211, 15844, 21136, 33604, 6027, 13672, 1829, 39182, 35186, 4724, 29399, 6225, 8592, 7649, 2423, 29245, 3215, 5296, 33456, 21136, 33604, 6027, 16712, 7649, 1829, 4724, 1829, 39648, 4117, 6055, 5016, 9566, 1829, 9284, 4724, 3794, 37893, 6225, 9640, 5172, 11933, 15730, 14739, 39237, 16472, 2655, 3555, 3224, 9957, 49429, 5296, 10721, 15844, 36145, 3224, 47525, 3224, 2423, 9284, 12675, 4724, 2710, 16579, 37495, 22653, 47525, 11536, 25505, 532, 905, 1429, 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0.7451171875}, {"start": 455.21, "end": 455.53, "word": " ب", "probability": 0.732421875}, {"start": 455.53, "end": 456.05, "word": " normal", "probability": 0.54296875}, {"start": 456.05, "end": 456.71, "word": " sentences", "probability": 0.955078125}, {"start": 456.71, "end": 457.03, "word": " يعني", "probability": 0.925537109375}, {"start": 457.03, "end": 457.33, "word": " بدون", "probability": 0.992431640625}, {"start": 457.33, "end": 457.99, "word": " pseudocode", "probability": 0.84423828125}, {"start": 457.99, "end": 459.29, "word": " فالآن", "probability": 0.7685546875}, {"start": 459.29, "end": 459.55, "word": " إيش", "probability": 0.8787434895833334}, {"start": 459.55, "end": 459.85, "word": " اللي", "probability": 0.8408203125}, {"start": 459.85, "end": 460.01, "word": " ..", "probability": 0.73876953125}, {"start": 460.01, "end": 460.31, "word": " خلوكم", "probability": 0.791015625}, {"start": 460.31, "end": 460.53, "word": " معايا", "probability": 0.8211263020833334}, {"start": 460.53, "end": 460.67, "word": " لو", "probability": 0.9921875}, {"start": 460.67, "end": 461.17, "word": " سمحتوا", "probability": 0.93310546875}], "temperature": 1.0}, {"id": 20, "seek": 48507, "start": 461.73, "end": 485.07, "text": "إيش المطلب؟ المطلب إنه لو في عندي two lists of numbers و ال two lists sorted .. sorted هي بتبقى ما الفرق .. اه لو عندي انا ال .. ال two lists زي ما هو ماطيني مثال في السؤال و sorted ماشي؟", "tokens": [28814, 1829, 8592, 9673, 9566, 46152, 22807, 9673, 9566, 46152, 36145, 3224, 45164, 8978, 18871, 16254, 732, 14511, 295, 3547, 4032, 2423, 732, 14511, 25462, 4386, 25462, 39896, 39894, 3555, 4587, 7578, 19446, 27188, 2288, 4587, 4386, 1975, 3224, 45164, 18871, 16254, 1975, 8315, 2423, 4386, 2423, 732, 14511, 30767, 1829, 19446, 31439, 3714, 41193, 9957, 1829, 50113, 6027, 8978, 21136, 33604, 6027, 4032, 25462, 3714, 33599, 1829, 22807], "avg_logprob": -0.3305803554398673, "compression_ratio": 1.6428571428571428, "no_speech_prob": 0.0, "words": [{"start": 461.73, "end": 462.19, "word": "إيش", "probability": 0.6619669596354166}, {"start": 462.19, "end": 463.51, "word": " المطلب؟", "probability": 0.948486328125}, {"start": 463.51, "end": 463.87, "word": " المطلب", "probability": 0.9685872395833334}, {"start": 463.87, "end": 464.13, "word": " إنه", "probability": 0.66357421875}, {"start": 464.13, "end": 464.23, "word": " لو", "probability": 0.90966796875}, {"start": 464.23, "end": 464.37, "word": " في", "probability": 0.495849609375}, {"start": 464.37, "end": 464.73, "word": " عندي", "probability": 0.786376953125}, {"start": 464.73, "end": 465.01, "word": " two", "probability": 0.7373046875}, {"start": 465.01, "end": 465.51, "word": " lists", "probability": 0.88623046875}, {"start": 465.51, "end": 465.91, "word": " of", "probability": 0.97509765625}, {"start": 465.91, "end": 466.45, "word": " numbers", "probability": 0.8701171875}, {"start": 466.45, "end": 466.65, "word": " و", "probability": 0.48583984375}, {"start": 466.65, "end": 466.75, "word": " ال", "probability": 0.76318359375}, {"start": 466.75, "end": 466.93, "word": " two", "probability": 0.39453125}, {"start": 466.93, "end": 467.17, "word": " lists", "probability": 0.9267578125}, {"start": 467.17, "end": 467.87, "word": " sorted", "probability": 0.8896484375}, {"start": 467.87, "end": 468.43, "word": " ..", "probability": 0.2744140625}, {"start": 468.43, "end": 468.83, "word": " sorted", "probability": 0.73193359375}, {"start": 468.83, "end": 468.99, "word": " هي", "probability": 0.537109375}, {"start": 468.99, "end": 469.31, "word": " بتبقى", "probability": 0.60125732421875}, {"start": 469.31, "end": 469.43, "word": " ما", "probability": 0.71435546875}, {"start": 469.43, "end": 469.89, "word": " الفرق", "probability": 0.89013671875}, {"start": 469.89, "end": 470.75, "word": " ..", "probability": 0.42822265625}, {"start": 470.75, "end": 471.17, "word": " اه", "probability": 0.6981201171875}, {"start": 471.17, "end": 471.75, "word": " لو", "probability": 0.6123046875}, {"start": 471.75, "end": 472.05, "word": " عندي", "probability": 0.94287109375}, {"start": 472.05, "end": 472.33, "word": " انا", "probability": 0.789794921875}, {"start": 472.33, "end": 472.61, "word": " ال", "probability": 0.970703125}, {"start": 472.61, "end": 472.61, "word": " ..", "probability": 0.340576171875}, {"start": 472.61, "end": 472.85, "word": " ال", "probability": 0.97802734375}, {"start": 472.85, "end": 473.03, "word": " two", "probability": 0.84814453125}, {"start": 473.03, "end": 473.31, "word": " lists", "probability": 0.8564453125}, {"start": 473.31, "end": 473.69, "word": " زي", "probability": 0.98291015625}, {"start": 473.69, "end": 473.83, "word": " ما", "probability": 0.95947265625}, {"start": 473.83, "end": 473.95, "word": " هو", "probability": 0.96826171875}, {"start": 473.95, "end": 474.35, "word": " ماطيني", "probability": 0.6502685546875}, {"start": 474.35, "end": 474.69, "word": " مثال", "probability": 0.918212890625}, {"start": 474.69, "end": 474.83, "word": " في", "probability": 0.91845703125}, {"start": 474.83, "end": 475.83, "word": " السؤال", "probability": 0.9930013020833334}, {"start": 475.83, "end": 483.55, "word": " و", "probability": 0.44580078125}, {"start": 483.55, "end": 484.09, "word": " sorted", "probability": 0.8984375}, {"start": 484.09, "end": 485.07, "word": " ماشي؟", "probability": 0.836669921875}], "temperature": 1.0}, {"id": 21, "seek": 51369, "start": 485.19, "end": 513.69, "text": "فانا اش المطلوب انه اعمل algorithm اطلعلي ال common elements ال common elements هنا هم تلاتة elements الاتنين والخمسة والخمسة صح؟ بدي اطلع هذا الكلام اش ال algorithm اللي بدي أسويها باجي بجف على رأس ال list تاني و بقارن اذا والله equal بروح بسجلهم و بنتقل على اللي بعدهم", "tokens": [5172, 7649, 995, 1975, 8592, 9673, 9566, 1211, 37746, 16472, 3224, 1975, 25957, 1211, 9284, 1975, 9566, 1211, 3615, 20292, 2423, 2689, 4959, 2423, 2689, 4959, 34105, 8032, 2304, 6055, 1211, 9307, 3660, 4959, 2423, 9307, 1863, 9957, 16070, 9778, 2304, 3794, 3660, 16070, 9778, 2304, 3794, 3660, 20328, 5016, 22807, 4724, 16254, 1975, 9566, 1211, 3615, 23758, 2423, 28820, 10943, 1975, 8592, 2423, 9284, 13672, 1829, 4724, 16254, 5551, 3794, 45865, 11296, 4724, 26108, 1829, 4724, 7435, 5172, 15844, 12602, 10721, 3794, 2423, 1329, 6055, 7649, 1829, 4032, 4724, 4587, 9640, 1863, 1975, 15730, 16070, 43761, 2681, 4724, 32887, 5016, 4724, 3794, 7435, 1211, 16095, 4032, 4724, 29399, 4587, 1211, 15844, 13672, 1829, 39182, 16095], "avg_logprob": -0.26135149165096444, "compression_ratio": 1.8369098712446352, "no_speech_prob": 0.0, "words": [{"start": 485.19, "end": 485.59, "word": "فانا", "probability": 0.5511067708333334}, {"start": 485.59, "end": 485.93, "word": " اش", "probability": 0.40570068359375}, {"start": 485.93, "end": 486.43, "word": " المطلوب", "probability": 0.8848876953125}, {"start": 486.43, "end": 486.89, "word": " انه", "probability": 0.52447509765625}, {"start": 486.89, "end": 487.53, "word": " اعمل", "probability": 0.9464518229166666}, {"start": 487.53, "end": 488.07, "word": " algorithm", "probability": 0.8271484375}, {"start": 488.07, "end": 489.45, "word": " اطلعلي", "probability": 0.66796875}, {"start": 489.45, "end": 489.67, "word": " ال", "probability": 0.8427734375}, {"start": 489.67, "end": 489.97, "word": " common", "probability": 0.87060546875}, {"start": 489.97, "end": 490.49, "word": " elements", "probability": 0.8896484375}, {"start": 490.49, "end": 490.71, "word": " ال", "probability": 0.84228515625}, {"start": 490.71, "end": 491.01, "word": " common", "probability": 0.958984375}, {"start": 491.01, "end": 491.57, "word": " elements", "probability": 0.8935546875}, {"start": 491.57, "end": 491.91, "word": " هنا", "probability": 0.931640625}, {"start": 491.91, "end": 493.01, "word": " هم", "probability": 0.82666015625}, {"start": 493.01, "end": 493.61, "word": " تلاتة", "probability": 0.82080078125}, {"start": 493.61, "end": 493.89, "word": " elements", "probability": 0.8916015625}, {"start": 493.89, "end": 494.55, "word": " الاتنين", "probability": 0.7794189453125}, {"start": 494.55, "end": 496.13, "word": " والخمسة", "probability": 0.866796875}, {"start": 496.13, "end": 497.13, "word": " والخمسة", "probability": 0.89775390625}, {"start": 497.13, "end": 498.45, "word": " صح؟", "probability": 0.7001953125}, {"start": 498.45, "end": 498.61, "word": " بدي", "probability": 0.32098388671875}, {"start": 498.61, "end": 498.91, "word": " اطلع", "probability": 0.9110107421875}, {"start": 498.91, "end": 499.13, "word": " هذا", "probability": 0.5537109375}, {"start": 499.13, "end": 499.57, "word": " الكلام", "probability": 0.9099934895833334}, {"start": 499.57, "end": 499.83, "word": " اش", "probability": 0.614990234375}, {"start": 499.83, "end": 499.95, "word": " ال", "probability": 0.9619140625}, {"start": 499.95, "end": 500.29, "word": " algorithm", "probability": 0.94970703125}, {"start": 500.29, "end": 500.53, "word": " اللي", "probability": 0.946533203125}, {"start": 500.53, "end": 500.67, "word": " بدي", "probability": 0.868408203125}, {"start": 500.67, "end": 501.77, "word": " أسويها", "probability": 0.80816650390625}, {"start": 501.77, "end": 503.81, "word": " باجي", "probability": 0.631591796875}, {"start": 503.81, "end": 504.11, "word": " بجف", "probability": 0.75732421875}, {"start": 504.11, "end": 504.31, "word": " على", "probability": 0.63427734375}, {"start": 504.31, "end": 504.67, "word": " رأس", "probability": 0.9148763020833334}, {"start": 504.67, "end": 504.89, "word": " ال", "probability": 0.95849609375}, {"start": 504.89, "end": 505.33, "word": " list", "probability": 0.8818359375}, {"start": 505.33, "end": 505.93, "word": " تاني", "probability": 0.6097005208333334}, {"start": 505.93, "end": 506.29, "word": " و", "probability": 0.546875}, {"start": 506.29, "end": 507.33, "word": " بقارن", "probability": 0.98291015625}, {"start": 507.33, "end": 508.47, "word": " اذا", "probability": 0.869384765625}, {"start": 508.47, "end": 508.89, "word": " والله", "probability": 0.906494140625}, {"start": 508.89, "end": 510.15, "word": " equal", "probability": 0.9345703125}, {"start": 510.15, "end": 510.67, "word": " بروح", "probability": 0.94921875}, {"start": 510.67, "end": 511.39, "word": " بسجلهم", "probability": 0.93125}, {"start": 511.39, "end": 512.51, "word": " و", "probability": 0.67138671875}, {"start": 512.51, "end": 512.97, "word": " بنتقل", "probability": 0.900390625}, {"start": 512.97, "end": 513.11, "word": " على", "probability": 0.56396484375}, {"start": 513.11, "end": 513.27, "word": " اللي", "probability": 0.727783203125}, {"start": 513.27, "end": 513.69, "word": " بعدهم", "probability": 0.908203125}], "temperature": 1.0}, {"id": 22, "seek": 54279, "start": 514.94, "end": 542.8, "text": "مش equal، ليش بسوي؟ عشانها sorted فأنا بديش أنتقل .. أثبت الأتنين و أنتقل على الخمسة بدي أثبت الخمسة و أنتقل عليه بدي أحرك في الأصغر بدي أحرك في الأصغر لأن هذا أكبر احتمال يكون إذا هذا لا يسوي احتمال ييجي بعده صح؟ بينما هذا الأصغر إذا هذا لا يسوي اللي بعده هيكون يميل إذا بدي أقارن هذا باللي بعد هذا", "tokens": [2304, 8592, 2681, 12399, 32239, 8592, 4724, 3794, 45865, 22807, 6225, 8592, 7649, 11296, 25462, 6156, 10721, 8315, 4724, 16254, 8592, 14739, 2655, 4587, 1211, 4386, 5551, 12984, 3555, 2655, 16247, 2655, 1863, 9957, 4032, 14739, 2655, 4587, 1211, 15844, 33962, 2304, 3794, 3660, 4724, 16254, 5551, 12984, 3555, 2655, 33962, 2304, 3794, 3660, 4032, 14739, 2655, 4587, 1211, 47356, 4724, 16254, 5551, 5016, 31747, 8978, 16247, 9381, 17082, 2288, 4724, 16254, 5551, 5016, 31747, 8978, 16247, 9381, 17082, 2288, 5296, 33456, 23758, 5551, 4117, 26890, 1975, 33753, 2304, 6027, 7251, 30544, 11933, 15730, 23758, 20193, 7251, 3794, 45865, 1975, 33753, 2304, 6027, 7251, 1829, 7435, 1829, 39182, 3224, 20328, 5016, 22807, 49374, 15042, 23758, 16247, 9381, 17082, 2288, 11933, 15730, 23758, 20193, 7251, 3794, 45865, 13672, 1829, 39182, 3224, 39896, 30544, 7251, 2304, 26895, 11933, 15730, 4724, 16254, 5551, 4587, 9640, 1863, 23758, 20666, 20292, 39182, 23758], "avg_logprob": -0.19200923538848058, "compression_ratio": 2.2245762711864407, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 514.94, "end": 515.3, "word": "مش", "probability": 0.7451171875}, {"start": 515.3, "end": 515.78, "word": " equal،", "probability": 0.3779296875}, {"start": 515.78, "end": 515.84, "word": " ليش", "probability": 0.7081298828125}, {"start": 515.84, "end": 517.4, "word": " بسوي؟", "probability": 0.8316650390625}, {"start": 517.4, "end": 518.2, "word": " عشانها", "probability": 0.8682861328125}, {"start": 518.2, "end": 518.72, "word": " sorted", "probability": 0.83154296875}, {"start": 518.72, "end": 519.96, "word": " فأنا", "probability": 0.7333984375}, {"start": 519.96, "end": 520.58, "word": " بديش", "probability": 0.704833984375}, {"start": 520.58, "end": 521.6, "word": " أنتقل", "probability": 0.697998046875}, {"start": 521.6, "end": 521.7, "word": " ..", "probability": 0.68115234375}, {"start": 521.7, "end": 522.36, "word": " أثبت", "probability": 0.731414794921875}, {"start": 522.36, "end": 522.7, "word": " الأتنين", "probability": 0.73504638671875}, {"start": 522.7, "end": 522.82, "word": " و", "probability": 0.92041015625}, {"start": 522.82, "end": 523.04, "word": " أنتقل", "probability": 0.85552978515625}, {"start": 523.04, "end": 523.14, "word": " على", "probability": 0.57275390625}, {"start": 523.14, "end": 524.32, "word": " الخمسة", "probability": 0.918212890625}, {"start": 524.32, "end": 524.84, "word": " بدي", "probability": 0.6937255859375}, {"start": 524.84, "end": 525.26, "word": " أثبت", "probability": 0.9884033203125}, {"start": 525.26, "end": 525.7, "word": " الخمسة", "probability": 0.9764404296875}, {"start": 525.7, "end": 525.8, "word": " و", "probability": 0.9765625}, {"start": 525.8, "end": 526.16, "word": " أنتقل", "probability": 0.92919921875}, {"start": 526.16, "end": 526.5, "word": " عليه", "probability": 0.447998046875}, {"start": 526.5, "end": 527.28, "word": " بدي", "probability": 0.675537109375}, {"start": 527.28, "end": 527.82, "word": " أحرك", "probability": 0.9541015625}, {"start": 527.82, "end": 527.98, "word": " في", "probability": 0.986328125}, {"start": 527.98, "end": 528.58, "word": " الأصغر", "probability": 0.9949951171875}, {"start": 528.58, "end": 529.42, "word": " بدي", "probability": 0.744873046875}, {"start": 529.42, "end": 529.7, "word": " أحرك", "probability": 0.9835611979166666}, {"start": 529.7, "end": 529.82, "word": " في", "probability": 0.9951171875}, {"start": 529.82, "end": 530.2, "word": " الأصغر", "probability": 0.99609375}, {"start": 530.2, "end": 530.42, "word": " لأن", "probability": 0.7373046875}, {"start": 530.42, "end": 530.62, "word": " هذا", "probability": 0.6767578125}, {"start": 530.62, "end": 531.04, "word": " أكبر", "probability": 0.9835611979166666}, {"start": 531.04, "end": 531.84, "word": " احتمال", "probability": 0.921142578125}, {"start": 531.84, "end": 532.24, "word": " يكون", "probability": 0.974609375}, {"start": 532.24, "end": 532.52, "word": " إذا", "probability": 0.793701171875}, {"start": 532.52, "end": 532.72, "word": " هذا", "probability": 0.9208984375}, {"start": 532.72, "end": 532.86, "word": " لا", "probability": 0.88330078125}, {"start": 532.86, "end": 533.36, "word": " يسوي", "probability": 0.8277994791666666}, {"start": 533.36, "end": 533.98, "word": " احتمال", "probability": 0.8936767578125}, {"start": 533.98, "end": 534.18, "word": " ييجي", "probability": 0.947021484375}, {"start": 534.18, "end": 534.74, "word": " بعده", "probability": 0.96875}, {"start": 534.74, "end": 536.4, "word": " صح؟", "probability": 0.833984375}, {"start": 536.4, "end": 536.68, "word": " بينما", "probability": 0.906005859375}, {"start": 536.68, "end": 536.86, "word": " هذا", "probability": 0.9580078125}, {"start": 536.86, "end": 537.46, "word": " الأصغر", "probability": 0.9918212890625}, {"start": 537.46, "end": 537.86, "word": " إذا", "probability": 0.958740234375}, {"start": 537.86, "end": 538.08, "word": " هذا", "probability": 0.9736328125}, {"start": 538.08, "end": 538.2, "word": " لا", "probability": 0.9453125}, {"start": 538.2, "end": 538.78, "word": " يسوي", "probability": 0.9508463541666666}, {"start": 538.78, "end": 539.3, "word": " اللي", "probability": 0.92236328125}, {"start": 539.3, "end": 539.58, "word": " بعده", "probability": 0.974853515625}, {"start": 539.58, "end": 539.94, "word": " هيكون", "probability": 0.751953125}, {"start": 539.94, "end": 540.26, "word": " يميل", "probability": 0.7906901041666666}, {"start": 540.26, "end": 541.1, "word": " إذا", "probability": 0.78955078125}, {"start": 541.1, "end": 541.34, "word": " بدي", "probability": 0.672607421875}, {"start": 541.34, "end": 541.68, "word": " أقارن", "probability": 0.9200439453125}, {"start": 541.68, "end": 541.96, "word": " هذا", "probability": 0.96875}, {"start": 541.96, "end": 542.22, "word": " باللي", "probability": 0.8447265625}, {"start": 542.22, "end": 542.46, "word": " بعد", "probability": 0.966796875}, {"start": 542.46, "end": 542.8, "word": " هذا", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 23, "seek": 57313, "start": 543.71, "end": 573.13, "text": "قد يكون زيه أو أكبر فالان أنا لأنه مش متساوين فبروح بتحرك على اللي بعده مش متساوين فبتحرك على اللي بعده و الآن اه متطابقين فبسجل و بعدين بنتقل على اللي بعد متطابقين لا يساوي بوجهه فالألغوريثم أصبحت انه بعمل هذه ال array بتكون empty", "tokens": [28543, 7251, 30544, 30767, 1829, 3224, 34051, 5551, 4117, 26890, 6156, 6027, 7649, 41850, 5296, 33456, 3224, 37893, 44650, 3794, 995, 2407, 9957, 6156, 3555, 32887, 5016, 39894, 5016, 31747, 15844, 13672, 1829, 39182, 3224, 37893, 44650, 3794, 995, 2407, 9957, 6156, 3555, 2655, 5016, 31747, 15844, 13672, 1829, 39182, 3224, 4032, 6024, 48506, 1975, 3224, 44650, 9566, 16758, 4587, 9957, 6156, 3555, 3794, 7435, 1211, 4032, 39182, 9957, 4724, 29399, 4587, 1211, 15844, 13672, 1829, 39182, 44650, 9566, 16758, 4587, 9957, 20193, 7251, 3794, 995, 45865, 4724, 29245, 3224, 3224, 6156, 6027, 10721, 1211, 17082, 13063, 1829, 12984, 2304, 5551, 9381, 3555, 33753, 16472, 3224, 4724, 25957, 1211, 29538, 2423, 10225, 39894, 30544, 6707], "avg_logprob": -0.29956896500340824, "compression_ratio": 2.0, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 543.71, "end": 543.97, "word": "قد", "probability": 0.4111328125}, {"start": 543.97, "end": 544.47, "word": " يكون", "probability": 0.973388671875}, {"start": 544.47, "end": 545.23, "word": " زيه", "probability": 0.8391927083333334}, {"start": 545.23, "end": 545.47, "word": " أو", "probability": 0.8212890625}, {"start": 545.47, "end": 546.21, "word": " أكبر", "probability": 0.7041829427083334}, {"start": 546.21, "end": 550.87, "word": " فالان", "probability": 0.51416015625}, {"start": 550.87, "end": 551.23, "word": " أنا", "probability": 0.253173828125}, {"start": 551.23, "end": 551.75, "word": " لأنه", "probability": 0.7591145833333334}, {"start": 551.75, "end": 551.87, "word": " مش", "probability": 0.541015625}, {"start": 551.87, "end": 552.51, "word": " متساوين", "probability": 0.894140625}, {"start": 552.51, "end": 553.11, "word": " فبروح", "probability": 0.673828125}, {"start": 553.11, "end": 553.73, "word": " بتحرك", "probability": 0.75732421875}, {"start": 553.73, "end": 554.51, "word": " على", "probability": 0.701171875}, {"start": 554.51, "end": 554.69, "word": " اللي", "probability": 0.939208984375}, {"start": 554.69, "end": 554.95, "word": " بعده", "probability": 0.922607421875}, {"start": 554.95, "end": 555.07, "word": " مش", "probability": 0.76416015625}, {"start": 555.07, "end": 555.61, "word": " متساوين", "probability": 0.95634765625}, {"start": 555.61, "end": 556.01, "word": " فبتحرك", "probability": 0.7459716796875}, {"start": 556.01, "end": 556.17, "word": " على", "probability": 0.7646484375}, {"start": 556.17, "end": 556.29, "word": " اللي", "probability": 0.986328125}, {"start": 556.29, "end": 556.57, "word": " بعده", "probability": 0.959716796875}, {"start": 556.57, "end": 556.73, "word": " و", "probability": 0.27197265625}, {"start": 556.73, "end": 556.93, "word": " الآن", "probability": 0.55133056640625}, {"start": 556.93, "end": 557.25, "word": " اه", "probability": 0.7685546875}, {"start": 557.25, "end": 557.83, "word": " متطابقين", "probability": 0.982421875}, {"start": 557.83, "end": 558.37, "word": " فبسجل", "probability": 0.810546875}, {"start": 558.37, "end": 558.71, "word": " و", "probability": 0.36865234375}, {"start": 558.71, "end": 558.91, "word": " بعدين", "probability": 0.9228515625}, {"start": 558.91, "end": 559.61, "word": " بنتقل", "probability": 0.89404296875}, {"start": 559.61, "end": 559.93, "word": " على", "probability": 0.69091796875}, {"start": 559.93, "end": 560.31, "word": " اللي", "probability": 0.985595703125}, {"start": 560.31, "end": 560.65, "word": " بعد", "probability": 0.96826171875}, {"start": 560.65, "end": 562.29, "word": " متطابقين", "probability": 0.9541015625}, {"start": 562.29, "end": 564.87, "word": " لا", "probability": 0.53955078125}, {"start": 564.87, "end": 565.41, "word": " يساوي", "probability": 0.9161376953125}, {"start": 565.41, "end": 566.37, "word": " بوجهه", "probability": 0.59234619140625}, {"start": 566.37, "end": 567.47, "word": " فالألغوريثم", "probability": 0.7069227430555556}, {"start": 567.47, "end": 568.03, "word": " أصبحت", "probability": 0.8743896484375}, {"start": 568.03, "end": 569.11, "word": " انه", "probability": 0.708740234375}, {"start": 569.11, "end": 570.73, "word": " بعمل", "probability": 0.96337890625}, {"start": 570.73, "end": 571.01, "word": " هذه", "probability": 0.96240234375}, {"start": 571.01, "end": 571.15, "word": " ال", "probability": 0.6552734375}, {"start": 571.15, "end": 571.53, "word": " array", "probability": 0.72265625}, {"start": 571.53, "end": 572.81, "word": " بتكون", "probability": 0.821044921875}, {"start": 572.81, "end": 573.13, "word": " empty", "probability": 0.38916015625}], "temperature": 1.0}, {"id": 24, "seek": 60160, "start": 573.78, "end": 601.6, "text": "starting with the first elements of two lists بكرر لحد ما واحدة من التنتين أخلص واحدة من التنتين ممكن تكون أكثر من الأخرى ف repeat the following إيش وسوي ال compare إذا equal بسجل و بقدم بسجل و بحرك إذا equal بسجل و بتحرك في التنتين وإلا", "tokens": [24419, 278, 365, 264, 700, 4959, 295, 732, 14511, 4724, 37983, 2288, 5296, 24401, 19446, 36764, 24401, 3660, 9154, 16712, 29399, 9957, 5551, 9778, 1211, 9381, 36764, 24401, 3660, 9154, 16712, 29399, 9957, 3714, 43020, 6055, 30544, 5551, 4117, 49115, 9154, 16247, 34740, 7578, 6156, 7149, 264, 3480, 11933, 1829, 8592, 46952, 45865, 2423, 6794, 11933, 15730, 2681, 4724, 3794, 7435, 1211, 4032, 4724, 28543, 2304, 4724, 3794, 7435, 1211, 4032, 4724, 5016, 31747, 11933, 15730, 2681, 4724, 3794, 7435, 1211, 4032, 4724, 2655, 5016, 31747, 8978, 16712, 29399, 9957, 4032, 28814, 15040], "avg_logprob": -0.20162898872761018, "compression_ratio": 1.7401960784313726, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 573.78, "end": 574.62, "word": "starting", "probability": 0.54986572265625}, {"start": 574.62, "end": 574.76, "word": " with", "probability": 0.833984375}, {"start": 574.76, "end": 574.9, "word": " the", "probability": 0.90283203125}, {"start": 574.9, "end": 575.18, "word": " first", "probability": 0.8974609375}, {"start": 575.18, "end": 575.62, "word": " elements", "probability": 0.65283203125}, {"start": 575.62, "end": 576.02, "word": " of", "probability": 0.951171875}, {"start": 576.02, "end": 577.74, "word": " two", "probability": 0.393798828125}, {"start": 577.74, "end": 578.08, "word": " lists", "probability": 0.74951171875}, {"start": 578.08, "end": 579.52, "word": " بكرر", "probability": 0.8990885416666666}, {"start": 579.52, "end": 580.18, "word": " لحد", "probability": 0.93408203125}, {"start": 580.18, "end": 580.44, "word": " ما", "probability": 0.33984375}, {"start": 580.44, "end": 581.18, "word": " واحدة", "probability": 0.9441731770833334}, {"start": 581.18, "end": 581.32, "word": " من", "probability": 0.9931640625}, {"start": 581.32, "end": 581.78, "word": " التنتين", "probability": 0.8323567708333334}, {"start": 581.78, "end": 582.64, "word": " أخلص", "probability": 0.892333984375}, {"start": 582.64, "end": 583.88, "word": " واحدة", "probability": 0.8779296875}, {"start": 583.88, "end": 583.98, "word": " من", "probability": 0.994140625}, {"start": 583.98, "end": 584.26, "word": " التنتين", "probability": 0.98779296875}, {"start": 584.26, "end": 584.5, "word": " ممكن", "probability": 0.93603515625}, {"start": 584.5, "end": 584.76, "word": " تكون", "probability": 0.963623046875}, {"start": 584.76, "end": 585.04, "word": " أكثر", "probability": 0.8670247395833334}, {"start": 585.04, "end": 585.18, "word": " من", "probability": 0.9853515625}, {"start": 585.18, "end": 585.96, "word": " الأخرى", "probability": 0.9637044270833334}, {"start": 585.96, "end": 586.66, "word": " ف", "probability": 0.88720703125}, {"start": 586.66, "end": 587.24, "word": " repeat", "probability": 0.30029296875}, {"start": 587.24, "end": 587.44, "word": " the", "probability": 0.88427734375}, {"start": 587.44, "end": 587.94, "word": " following", "probability": 0.8994140625}, {"start": 587.94, "end": 588.96, "word": " إيش", "probability": 0.70947265625}, {"start": 588.96, "end": 589.28, "word": " وسوي", "probability": 0.571044921875}, {"start": 589.28, "end": 589.38, "word": " ال", "probability": 0.2298583984375}, {"start": 589.38, "end": 589.82, "word": " compare", "probability": 0.85107421875}, {"start": 589.82, "end": 591.36, "word": " إذا", "probability": 0.83740234375}, {"start": 591.36, "end": 591.76, "word": " equal", "probability": 0.9287109375}, {"start": 591.76, "end": 592.92, "word": " بسجل", "probability": 0.9627685546875}, {"start": 592.92, "end": 594.48, "word": " و", "probability": 0.42822265625}, {"start": 594.48, "end": 595.58, "word": " بقدم", "probability": 0.8038736979166666}, {"start": 595.58, "end": 596.38, "word": " بسجل", "probability": 0.9425048828125}, {"start": 596.38, "end": 596.76, "word": " و", "probability": 0.9404296875}, {"start": 596.76, "end": 597.3, "word": " بحرك", "probability": 0.97802734375}, {"start": 597.3, "end": 597.84, "word": " إذا", "probability": 0.947021484375}, {"start": 597.84, "end": 598.28, "word": " equal", "probability": 0.93212890625}, {"start": 598.28, "end": 599.52, "word": " بسجل", "probability": 0.9713134765625}, {"start": 599.52, "end": 599.6, "word": " و", "probability": 0.94287109375}, {"start": 599.6, "end": 600.14, "word": " بتحرك", "probability": 0.8360595703125}, {"start": 600.14, "end": 600.34, "word": " في", "probability": 0.9404296875}, {"start": 600.34, "end": 600.78, "word": " التنتين", "probability": 0.98193359375}, {"start": 600.78, "end": 601.6, "word": " وإلا", "probability": 0.79345703125}], "temperature": 1.0}, {"id": 25, "seek": 62666, "start": 602.97, "end": 626.67, "text": "بتحرك بس في ال list اللي فيها العنصر الأصغر لان طالب what is the maximum number of comparisons جداش عدد المقارنات في هذه الحالة لحظة ان هنا في أي مقارنة و بطلع إذا مش متساويين بقارن هذه في اللي بعدها", "tokens": [3555, 2655, 5016, 31747, 4724, 3794, 8978, 2423, 1329, 13672, 1829, 8978, 11296, 18863, 1863, 9381, 2288, 16247, 9381, 17082, 2288, 5296, 7649, 23032, 6027, 3555, 437, 307, 264, 6674, 1230, 295, 33157, 10874, 3215, 33599, 6225, 3215, 3215, 9673, 4587, 9640, 8315, 2655, 8978, 29538, 21542, 6027, 3660, 5296, 5016, 19913, 3660, 16472, 34105, 8978, 36632, 3714, 4587, 9640, 1863, 3660, 4032, 4724, 9566, 1211, 3615, 11933, 15730, 37893, 44650, 3794, 995, 45865, 9957, 4724, 4587, 9640, 1863, 29538, 8978, 13672, 1829, 39182, 11296], "avg_logprob": -0.22220203176487324, "compression_ratio": 1.5686274509803921, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 602.97, "end": 603.73, "word": "بتحرك", "probability": 0.80810546875}, {"start": 603.73, "end": 604.11, "word": " بس", "probability": 0.7998046875}, {"start": 604.11, "end": 604.33, "word": " في", "probability": 0.8779296875}, {"start": 604.33, "end": 606.27, "word": " ال", "probability": 0.755859375}, {"start": 606.27, "end": 606.57, "word": " list", "probability": 0.35302734375}, {"start": 606.57, "end": 607.05, "word": " اللي", "probability": 0.780029296875}, {"start": 607.05, "end": 607.29, "word": " فيها", "probability": 0.89599609375}, {"start": 607.29, "end": 607.65, "word": " العنصر", "probability": 0.9405517578125}, {"start": 607.65, "end": 608.13, "word": " الأصغر", "probability": 0.985107421875}, {"start": 608.13, "end": 611.17, "word": " لان", "probability": 0.273681640625}, {"start": 611.17, "end": 611.55, "word": " طالب", "probability": 0.9669596354166666}, {"start": 611.55, "end": 611.73, "word": " what", "probability": 0.6455078125}, {"start": 611.73, "end": 611.91, "word": " is", "probability": 0.94677734375}, {"start": 611.91, "end": 612.11, "word": " the", "probability": 0.90771484375}, {"start": 612.11, "end": 612.47, "word": " maximum", "probability": 0.89404296875}, {"start": 612.47, "end": 612.85, "word": " number", "probability": 0.919921875}, {"start": 612.85, "end": 612.99, "word": " of", "probability": 0.97412109375}, {"start": 612.99, "end": 613.57, "word": " comparisons", "probability": 0.8603515625}, {"start": 613.57, "end": 613.97, "word": " جداش", "probability": 0.565185546875}, {"start": 613.97, "end": 614.29, "word": " عدد", "probability": 0.9855143229166666}, {"start": 614.29, "end": 615.11, "word": " المقارنات", "probability": 0.94130859375}, {"start": 615.11, "end": 615.63, "word": " في", "probability": 0.84228515625}, {"start": 615.63, "end": 615.87, "word": " هذه", "probability": 0.53369140625}, {"start": 615.87, "end": 616.39, "word": " الحالة", "probability": 0.9739583333333334}, {"start": 616.39, "end": 617.01, "word": " لحظة", "probability": 0.74627685546875}, {"start": 617.01, "end": 617.11, "word": " ان", "probability": 0.54345703125}, {"start": 617.11, "end": 617.35, "word": " هنا", "probability": 0.9140625}, {"start": 617.35, "end": 617.55, "word": " في", "probability": 0.6376953125}, {"start": 617.55, "end": 617.69, "word": " أي", "probability": 0.2061767578125}, {"start": 617.69, "end": 618.55, "word": " مقارنة", "probability": 0.9890625}, {"start": 618.55, "end": 619.19, "word": " و", "probability": 0.60107421875}, {"start": 619.19, "end": 620.73, "word": " بطلع", "probability": 0.8814697265625}, {"start": 620.73, "end": 621.03, "word": " إذا", "probability": 0.757568359375}, {"start": 621.03, "end": 621.21, "word": " مش", "probability": 0.94970703125}, {"start": 621.21, "end": 623.83, "word": " متساويين", "probability": 0.901171875}, {"start": 623.83, "end": 625.11, "word": " بقارن", "probability": 0.9249267578125}, {"start": 625.11, "end": 625.99, "word": " هذه", "probability": 0.669921875}, {"start": 625.99, "end": 626.15, "word": " في", "probability": 0.59375}, {"start": 626.15, "end": 626.23, "word": " اللي", "probability": 0.963623046875}, {"start": 626.23, "end": 626.67, "word": " بعدها", "probability": 0.95849609375}], "temperature": 1.0}, {"id": 26, "seek": 65457, "start": 627.39, "end": 654.57, "text": "يبقى عمليا المقارنات ان واحد من الـ two lists هيتم مقارنات بعدد كل عنصر اللي فيها والتاني أيضا مقارنات بعدد كل عنصر اللي فيها لأنه انا حاجف مع هذه و اقارن مع هنا اذا ما طالعش بدي اقارن مع هذه مع اللي بعده اذا طالع مش equal بدي اقارن مع اللي بعده ماشي خلصت هدول كلهم بدي ارجع هذا و اقارن بس هقارن من وين من بعد ما انتهيت هنا", "tokens": [1829, 3555, 4587, 7578, 6225, 2304, 20292, 995, 9673, 4587, 9640, 1863, 9307, 16472, 36764, 24401, 9154, 2423, 39184, 732, 14511, 8032, 36081, 2304, 3714, 4587, 9640, 1863, 9307, 4724, 22488, 3215, 28242, 18871, 9381, 2288, 13672, 1829, 8978, 11296, 16070, 2655, 7649, 1829, 36632, 11242, 995, 3714, 4587, 9640, 1863, 9307, 4724, 22488, 3215, 28242, 18871, 9381, 2288, 13672, 1829, 8978, 11296, 5296, 33456, 3224, 1975, 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114288, "start": 1117.14, "end": 1142.88, "text": "Okay تلاتة تلاتية في عشر قصة ستة يعني Zero point تلاتة تلاتة في عشر قصة تمانية يعني عمليا مش هتاخد معاه لحكاية one second to generate اللي هو ال subsets فهذا realistic هذا unrealistic Okay طيب سؤال رقم ستة سؤال رقم ستة", "tokens": [8297, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 10632, 8978, 6225, 46309, 12174, 9381, 3660, 8608, 2655, 3660, 37495, 22653, 17182, 935, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 8978, 6225, 46309, 12174, 9381, 3660, 46811, 7649, 10632, 37495, 22653, 6225, 2304, 20292, 995, 37893, 8032, 2655, 47283, 3215, 20449, 40294, 5296, 5016, 4117, 995, 10632, 472, 1150, 281, 8460, 13672, 1829, 31439, 2423, 2090, 1385, 6156, 3224, 15730, 12465, 23758, 42867, 1033, 23032, 1829, 3555, 8608, 33604, 6027, 12602, 4587, 2304, 8608, 2655, 3660, 8608, 33604, 6027, 12602, 4587, 2304, 8608, 2655, 3660], "avg_logprob": -0.2397460963887473, "compression_ratio": 1.7202072538860103, "no_speech_prob": 1.7881393432617188e-07, 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هو", "probability": 0.98486328125}, {"start": 1146.08, "end": 1146.56, "word": " لو", "probability": 0.77587890625}, {"start": 1146.56, "end": 1147.08, "word": " العناصر", "probability": 0.9183349609375}, {"start": 1147.08, "end": 1147.64, "word": " هدولة", "probability": 0.71026611328125}, {"start": 1147.64, "end": 1148.18, "word": " بدنا", "probability": 0.6009521484375}, {"start": 1148.18, "end": 1148.62, "word": " نعمل", "probability": 0.9915364583333334}, {"start": 1148.62, "end": 1148.94, "word": " binary", "probability": 0.33544921875}, {"start": 1148.94, "end": 1149.58, "word": " search", "probability": 0.98388671875}, {"start": 1149.58, "end": 1150.24, "word": " فاش", "probability": 0.7216796875}, {"start": 1150.24, "end": 1150.4, "word": " ال", "probability": 0.89990234375}, {"start": 1150.4, "end": 1150.7, "word": " worst", "probability": 0.9267578125}, {"start": 1150.7, "end": 1153.32, "word": " case", "probability": 0.5302734375}, {"start": 1153.32, "end": 1153.5, "word": " يعني", "probability": 0.79541015625}, {"start": 1153.5, "end": 1153.64, "word": " what", "probability": 0.7724609375}, {"start": 1153.64, "end": 1153.82, "word": " is", "probability": 0.95751953125}, {"start": 1153.82, "end": 1153.98, "word": " the", "probability": 0.888671875}, {"start": 1153.98, "end": 1154.28, "word": " largest", "probability": 0.89990234375}, {"start": 1154.28, "end": 1154.66, "word": " number", "probability": 0.9599609375}, {"start": 1154.66, "end": 1154.84, "word": " of", "probability": 0.97021484375}, {"start": 1154.84, "end": 1155.02, "word": " key", "probability": 0.939453125}, {"start": 1155.02, "end": 1155.76, "word": " comparisons", "probability": 0.94091796875}, {"start": 1155.76, "end": 1156.66, "word": " عدد", "probability": 0.9298502604166666}, {"start": 1156.66, "end": 1156.78, "word": " ال", "probability": 0.95849609375}, {"start": 1156.78, "end": 1156.94, "word": " key", "probability": 0.89453125}, {"start": 1156.94, "end": 1157.7, "word": " 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" اللي", "probability": 0.90380859375}, {"start": 1165.0, "end": 1165.44, "word": " احططلك", "probability": 0.635546875}, {"start": 1165.44, "end": 1165.64, "word": " اللي", "probability": 0.985107421875}, {"start": 1165.64, "end": 1165.94, "word": " هو", "probability": 0.99462890625}, {"start": 1165.94, "end": 1167.0, "word": " in", "probability": 0.65869140625}, {"start": 1167.0, "end": 1167.1, "word": " the", "probability": 0.79248046875}, {"start": 1167.1, "end": 1167.3, "word": " worst", "probability": 0.96630859375}, {"start": 1167.3, "end": 1167.66, "word": " case", "probability": 0.94384765625}, {"start": 1167.66, "end": 1170.12, "word": " ال", "probability": 0.953125}, {"start": 1170.12, "end": 1170.58, "word": " comparisons", "probability": 0.982421875}, {"start": 1170.58, "end": 1171.08, "word": " فيها", "probability": 0.988525390625}], "temperature": 1.0}, {"id": 46, "seek": 120038, "start": 1172.74, "end": 1200.38, "text": "ceiling للـ log in زي واحد in هنا أنا جداش اتناش مازا واحد تلتاش ال log تبع تلتاش ال ceiling تبعه اربعة مظبوط okay فهذا الشق الأول الشق التاني انه list all the keys ايش السؤال بده كل ال keys يعني العناصر of this array that will require largest number of search of comparisons عدد ال comparisons", "tokens": [384, 4883, 24976, 39184, 3565, 294, 30767, 1829, 36764, 24401, 294, 34105, 41850, 10874, 3215, 33599, 1975, 2655, 1863, 33599, 3714, 31377, 995, 36764, 24401, 6055, 1211, 2655, 33599, 2423, 3565, 6055, 3555, 3615, 6055, 1211, 2655, 33599, 2423, 13655, 6055, 3555, 3615, 3224, 1975, 25513, 27884, 3714, 19913, 3555, 2407, 9566, 1392, 6156, 3224, 15730, 25124, 4587, 16247, 12610, 25124, 4587, 16712, 7649, 1829, 16472, 3224, 1329, 439, 264, 9317, 1975, 1829, 8592, 21136, 33604, 6027, 47525, 3224, 28242, 2423, 9317, 37495, 22653, 18863, 1863, 33546, 2288, 295, 341, 10225, 300, 486, 3651, 6443, 1230, 295, 3164, 295, 33157, 6225, 3215, 3215, 2423, 33157], "avg_logprob": -0.3251768803259112, "compression_ratio": 1.653386454183267, 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1760.04, "text": "returns a single value single maximum مش هتطلع ليها من التلاتة كلها okay الآن ال recurrence ال recurrence اللي هي انه انا بدأ اقول ال algorithm جديش عدد ال طبعا هي بتعمل مقارنات اكبر منه جديش عدد المقارنات في حالة ال zero في حالة ال one لما يكون يدخلها ال ray طولها one همش هتعمل ولا مقارنة صح؟ ليش؟", "tokens": [1505, 925, 82, 257, 2167, 2158, 2167, 6674, 37893, 8032, 2655, 9566, 1211, 3615, 32239, 11296, 9154, 16712, 1211, 9307, 3660, 28242, 11296, 1392, 6024, 48506, 2423, 18680, 10760, 2423, 18680, 10760, 13672, 1829, 39896, 16472, 3224, 1975, 8315, 47525, 10721, 1975, 39648, 2423, 9284, 10874, 16254, 8592, 6225, 3215, 3215, 2423, 23032, 3555, 3615, 995, 39896, 39894, 25957, 1211, 3714, 4587, 9640, 8315, 2655, 1975, 4117, 26890, 9154, 3224, 10874, 16254, 8592, 6225, 3215, 3215, 9673, 4587, 9640, 8315, 2655, 8978, 11331, 6027, 3660, 2423, 4018, 8978, 11331, 6027, 3660, 2423, 472, 5296, 15042, 7251, 30544, 7251, 3215, 9778, 1211, 11296, 2423, 18592, 23032, 12610, 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"probability": 0.91171875}, {"start": 1748.34, "end": 1749.28, "word": " اكبر", "probability": 0.7241617838541666}, {"start": 1749.28, "end": 1749.66, "word": " منه", "probability": 0.98388671875}, {"start": 1749.66, "end": 1750.8, "word": " جديش", "probability": 0.70849609375}, {"start": 1750.8, "end": 1751.04, "word": " عدد", "probability": 0.9925130208333334}, {"start": 1751.04, "end": 1751.64, "word": " المقارنات", "probability": 0.915234375}, {"start": 1751.64, "end": 1751.78, "word": " في", "probability": 0.978515625}, {"start": 1751.78, "end": 1752.1, "word": " حالة", "probability": 0.9912109375}, {"start": 1752.1, "end": 1752.28, "word": " ال", "probability": 0.93896484375}, {"start": 1752.28, "end": 1752.64, "word": " zero", "probability": 0.424072265625}, {"start": 1752.64, "end": 1752.94, "word": " في", "probability": 0.61181640625}, {"start": 1752.94, "end": 1753.26, "word": " حالة", "probability": 0.9954427083333334}, {"start": 1753.26, "end": 1753.4, "word": " ال", 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إذا", "probability": 0.734619140625}, {"start": 1775.59, "end": 1775.69, "word": " ال", "probability": 0.86181640625}, {"start": 1775.69, "end": 1775.85, "word": " left", "probability": 0.9462890625}, {"start": 1775.85, "end": 1775.97, "word": " هو", "probability": 0.9326171875}, {"start": 1775.97, "end": 1776.15, "word": " نفس", "probability": 0.994384765625}, {"start": 1776.15, "end": 1776.25, "word": " ال", "probability": 0.96142578125}, {"start": 1776.25, "end": 1776.39, "word": " right", "probability": 0.943359375}, {"start": 1776.39, "end": 1776.49, "word": " يعني", "probability": 0.67822265625}, {"start": 1776.49, "end": 1776.69, "word": " ال", "probability": 0.63525390625}, {"start": 1776.69, "end": 1776.95, "word": " array", "probability": 0.94091796875}, {"start": 1776.95, "end": 1777.09, "word": " اللي", "probability": 0.896484375}, {"start": 1777.09, "end": 1777.43, "word": " دخلت", "probability": 0.968505859375}, {"start": 1777.43, "end": 1777.71, "word": " لها", 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0.809326171875}, {"start": 2167.74, "end": 2168.2, "word": " بالمرة", "probability": 0.9435221354166666}, {"start": 2168.2, "end": 2168.46, "word": " يبقى", "probability": 0.725738525390625}, {"start": 2168.46, "end": 2168.64, "word": " أنا", "probability": 0.4150390625}, {"start": 2168.64, "end": 2169.14, "word": " هخش", "probability": 0.84033203125}, {"start": 2169.14, "end": 2169.42, "word": " عليهم", "probability": 0.9814453125}, {"start": 2169.42, "end": 2169.7, "word": " كل", "probability": 0.9306640625}, {"start": 2169.7, "end": 2170.26, "word": " ياتهم", "probability": 0.6333821614583334}, {"start": 2170.26, "end": 2171.0, "word": " كأنه", "probability": 0.890625}, {"start": 2171.0, "end": 2171.38, "word": " sequential", "probability": 0.404541015625}, {"start": 2171.38, "end": 2171.86, "word": " search", "probability": 0.98681640625}, {"start": 2171.86, "end": 2172.6, "word": " أصبحت", "probability": 0.9053955078125}, {"start": 2172.6, "end": 2173.1, "word": " فهي", "probability": 0.9441731770833334}, {"start": 2173.1, "end": 2173.84, "word": " بتصبح", "probability": 0.8800455729166666}, {"start": 2173.84, "end": 2174.02, "word": " big", "probability": 0.79931640625}, {"start": 2174.02, "end": 2174.24, "word": " O", "probability": 0.87158203125}, {"start": 2174.24, "end": 2174.38, "word": " of", "probability": 0.8544921875}, {"start": 2174.38, "end": 2174.56, "word": " N", "probability": 0.904296875}], "temperature": 1.0}, {"id": 85, "seek": 220117, "start": 2175.49, "end": 2201.17, "text": "والـ Average بين الاتنين الـ O لـ N لأنها باينرى لأنها باينرى صح ان النوت الواحدة مش اكتر من two children طيب بنقدر نوقف هنا و ربما في المحاضرة الجاية بنمر على السؤالين و الضايلات او باكتفي بأنه هذه الإجابات موجودة عندكم في الورقة هذه موجودة الآن على dropbox", "tokens": [2407, 6027, 39184, 316, 3623, 49374, 2423, 9307, 1863, 9957, 2423, 39184, 422, 5296, 39184, 426, 5296, 33456, 11296, 4724, 995, 9957, 2288, 7578, 5296, 33456, 11296, 4724, 995, 9957, 2288, 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0.7593994140625}, {"start": 2176.99, "end": 2177.17, "word": " الـ", "probability": 0.5701904296875}, {"start": 2177.17, "end": 2177.63, "word": " O", "probability": 0.65087890625}, {"start": 2177.63, "end": 2178.05, "word": " لـ", "probability": 0.3323974609375}, {"start": 2178.05, "end": 2178.65, "word": " N", "probability": 0.41259765625}, {"start": 2178.65, "end": 2179.95, "word": " لأنها", "probability": 0.8248697916666666}, {"start": 2179.95, "end": 2180.55, "word": " باينرى", "probability": 0.55595703125}, {"start": 2180.55, "end": 2181.03, "word": " لأنها", "probability": 0.7403971354166666}, {"start": 2181.03, "end": 2181.77, "word": " باينرى", "probability": 0.9466796875}, {"start": 2181.77, "end": 2182.11, "word": " صح", "probability": 0.868896484375}, {"start": 2182.11, "end": 2182.69, "word": " ان", "probability": 0.2049560546875}, {"start": 2182.69, "end": 2182.99, "word": " النوت", "probability": 0.46771240234375}, {"start": 2182.99, "end": 2183.51, "word": " الواحدة", "probability": 0.898193359375}, {"start": 2183.51, "end": 2183.89, "word": " مش", "probability": 0.56591796875}, {"start": 2183.89, "end": 2184.25, "word": " اكتر", "probability": 0.93603515625}, {"start": 2184.25, "end": 2184.51, "word": " من", "probability": 0.9873046875}, {"start": 2184.51, "end": 2184.97, "word": " two", "probability": 0.36181640625}, {"start": 2184.97, "end": 2185.47, "word": " children", "probability": 0.880859375}, {"start": 2185.47, "end": 2187.73, "word": " طيب", "probability": 0.8834635416666666}, {"start": 2187.73, "end": 2189.15, "word": " بنقدر", "probability": 0.763916015625}, {"start": 2189.15, "end": 2189.57, "word": " نوقف", "probability": 0.89990234375}, {"start": 2189.57, "end": 2189.95, "word": " هنا", "probability": 0.9951171875}, {"start": 2189.95, "end": 2190.89, "word": " و", "probability": 0.95556640625}, {"start": 2190.89, "end": 2191.43, "word": " ربما", "probability": 0.7771809895833334}, {"start": 2191.43, "end": 2191.59, "word": " في", "probability": 0.92041015625}, {"start": 2191.59, "end": 2192.01, "word": " المحاضرة", "probability": 0.990234375}, {"start": 2192.01, "end": 2192.39, "word": " الجاية", "probability": 0.711669921875}, {"start": 2192.39, "end": 2192.81, "word": " بنمر", "probability": 0.92138671875}, {"start": 2192.81, "end": 2192.97, "word": " على", "probability": 0.7451171875}, {"start": 2192.97, "end": 2193.57, "word": " السؤالين", "probability": 0.9844970703125}, {"start": 2193.57, "end": 2193.67, "word": " و", "probability": 0.32275390625}, {"start": 2193.67, "end": 2194.21, "word": " الضايلات", "probability": 0.80205078125}, {"start": 2194.21, "end": 2195.01, "word": " او", "probability": 0.8447265625}, {"start": 2195.01, "end": 2195.93, "word": " باكتفي", "probability": 0.88837890625}, {"start": 2195.93, "end": 2196.63, "word": " بأنه", "probability": 0.4944661458333333}, {"start": 2196.63, "end": 2196.87, "word": " هذه", "probability": 0.568359375}, {"start": 2196.87, "end": 2197.33, "word": " الإجابات", "probability": 0.9320068359375}, {"start": 2197.33, "end": 2197.67, "word": " موجودة", "probability": 0.9517822265625}, {"start": 2197.67, "end": 2198.03, "word": " عندكم", "probability": 0.90625}, {"start": 2198.03, "end": 2198.31, "word": " في", "probability": 0.900390625}, {"start": 2198.31, "end": 2199.33, "word": " الورقة", "probability": 0.8263346354166666}, {"start": 2199.33, "end": 2199.71, "word": " هذه", "probability": 0.85693359375}, {"start": 2199.71, "end": 2200.25, "word": " موجودة", "probability": 0.96826171875}, {"start": 2200.25, "end": 2200.43, "word": " الآن", "probability": 0.7362060546875}, {"start": 2200.43, "end": 2200.59, "word": " على", "probability": 0.91796875}, {"start": 2200.59, "end": 2201.17, "word": " dropbox", "probability": 0.668701171875}], "temperature": 1.0}, {"id": 86, "seek": 221725, "start": 2201.87, "end": 2217.25, "text": "وخلاص المحاضرة الجاية بنكمل ماذا احنا واجفنا في شابطه السابعة أيوة اللي هو ال string matching بس على أساس بنشوف إيش ال space trade-off ال time space trade-off أعطيكم العقل خير", "tokens": [2407, 9778, 1211, 33546, 9673, 5016, 46958, 25720, 25724, 995, 10632, 4724, 1863, 24793, 1211, 3714, 45636, 995, 1975, 5016, 8315, 4032, 26108, 5172, 8315, 8978, 13412, 16758, 9566, 3224, 21136, 16758, 27884, 36632, 2407, 3660, 13672, 1829, 31439, 2423, 6798, 14324, 4724, 3794, 15844, 5551, 3794, 32277, 4724, 1863, 8592, 38688, 11933, 1829, 8592, 2423, 1901, 4923, 12, 4506, 2423, 565, 1901, 4923, 12, 4506, 5551, 3615, 9566, 1829, 24793, 18863, 4587, 1211, 16490, 13546], "avg_logprob": -0.35227273656176283, "compression_ratio": 1.5054945054945055, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 2201.87, "end": 2202.35, "word": "وخلاص", "probability": 0.8017578125}, {"start": 2202.35, "end": 2202.69, "word": " المحاضرة", "probability": 0.85595703125}, {"start": 2202.69, "end": 2202.93, "word": " الجاية", "probability": 0.7312825520833334}, {"start": 2202.93, "end": 2203.57, "word": " بنكمل", "probability": 0.7520751953125}, {"start": 2203.57, "end": 2204.29, "word": " ماذا", "probability": 0.5485026041666666}, {"start": 2204.29, "end": 2204.41, "word": " احنا", "probability": 0.84912109375}, {"start": 2204.41, "end": 2204.83, "word": " واجفنا", "probability": 0.771484375}, {"start": 2204.83, "end": 2204.93, "word": " في", "probability": 0.912109375}, {"start": 2204.93, "end": 2205.21, "word": " شابطه", "probability": 0.47357177734375}, {"start": 2205.21, "end": 2205.67, "word": " السابعة", "probability": 0.7537434895833334}, {"start": 2205.67, "end": 2207.41, "word": " أيوة", "probability": 0.5423583984375}, {"start": 2207.41, "end": 2207.53, "word": " اللي", "probability": 0.906494140625}, {"start": 2207.53, "end": 2207.63, "word": " هو", "probability": 0.93212890625}, {"start": 2207.63, "end": 2207.71, "word": " ال", "probability": 0.56005859375}, {"start": 2207.71, "end": 2207.89, "word": " string", "probability": 0.55517578125}, {"start": 2207.89, "end": 2208.41, "word": " matching", "probability": 0.849609375}, {"start": 2208.41, "end": 2209.17, "word": " بس", "probability": 0.97705078125}, {"start": 2209.17, "end": 2209.33, "word": " على", "probability": 0.8017578125}, {"start": 2209.33, "end": 2209.73, "word": " أساس", "probability": 0.8631184895833334}, {"start": 2209.73, "end": 2210.29, "word": " بنشوف", "probability": 0.6934814453125}, {"start": 2210.29, "end": 2210.53, "word": " إيش", "probability": 0.7901204427083334}, {"start": 2210.53, "end": 2210.95, "word": " ال", "probability": 0.96728515625}, {"start": 2210.95, "end": 2211.47, "word": " space", "probability": 0.9169921875}, {"start": 2211.47, "end": 2212.89, "word": " trade", "probability": 0.85888671875}, {"start": 2212.89, "end": 2213.19, "word": "-off", "probability": 0.683837890625}, {"start": 2213.19, "end": 2213.43, "word": " ال", "probability": 0.873046875}, {"start": 2213.43, "end": 2213.67, "word": " time", "probability": 0.64599609375}, {"start": 2213.67, "end": 2214.89, "word": " space", "probability": 0.7109375}, {"start": 2214.89, "end": 2215.17, "word": " trade", "probability": 0.7939453125}, {"start": 2215.17, "end": 2215.67, "word": "-off", "probability": 0.949951171875}, {"start": 2215.67, "end": 2216.85, "word": " أعطيكم", "probability": 0.84892578125}, {"start": 2216.85, "end": 2217.09, "word": " العقل", "probability": 0.5753987630208334}, {"start": 2217.09, "end": 2217.25, "word": " خير", "probability": 0.590087890625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2217.25025, "duration_after_vad": 2130.145624999994}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..00efc854ec4de816a5619ecc1aad6eafd8df2af2
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU.srt
@@ -0,0 +1,1263 @@
+1
+00:00:20,840 --> 00:00:23,080
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,080 --> 00:00:26,480
+المصريين اليوم إن شاء الله نكمل الـ Prims
+
+3
+00:00:26,480 --> 00:00:29,920
+algorithm من  حيث ما وقفنا المحاضرة الماضية، وبعدها
+
+4
+00:00:29,920 --> 00:00:34,160
+نكمل ونشوف الـ Kruskal's algorithm الذي يتعامل
+
+5
+00:00:34,160 --> 00:00:38,720
+مع نفس الـ problem الذي  تعامل معه Prims algorithm، ووقفنا المحاضرة
+
+6
+00:00:38,720 --> 00:00:41,920
+الماضية بعد ما شوفنا كيف بتشتغل، ووقفنا عند الـ
+
+7
+00:00:41,920 --> 00:00:45,180
+efficiency. خلينا على السريع نرجع ثانية ونراجع كيف
+
+8
+00:00:45,180 --> 00:00:50,480
+هي بتشتغل. الشيء الأساسي يجب أن تنتبهوا له في عمل الـ
+
+9
+00:00:50,480 --> 00:00:54,520
+algorithm، أنه  على أساس تسميته greedy، أنه في
+
+10
+00:00:54,520 --> 00:00:58,940
+كل... هي بالأصل بتبدأ بـ single node تؤخذ...
+
+11
+00:00:58,940 --> 00:01:02,680
+تؤخذ عشوائياً، وتتوسع هذه الـ node  لِتضم معها
+
+12
+00:01:02,680 --> 00:01:06,940
+... تضم معها more... more nodes أو vertices، صح؟
+
+13
+00:01:08,090 --> 00:01:13,250
+قرار من نضمه معها يتوقف على ما هو الـ
+
+14
+00:01:13,250 --> 00:01:19,770
+minimum. يعني في الأول كانت A لوحدها، استكشفت من
+
+15
+00:01:19,770 --> 00:01:23,010
+الجيران الذين حولها، وجدت E و F و B.
+
+16
+00:01:23,010 --> 00:01:33,430
+الأقرب إليها من بين الثلاثة، أخذت B. الآن أصبح
+
+17
+00:01:33,430 --> 00:01:41,020
+عندي A و B. أصبحوا أين؟ في VT، Vertices of Only
+
+18
+00:01:41,020 --> 00:01:45,900
+Tree. الآن، يجب أن تنتبهوا لشئ ربما لم نذكره في المحاضرة
+
+19
+00:01:45,900 --> 00:01:53,120
+الماضية، وهو أنني أبدأ أنظر لهذه الكتلة مع
+
+20
+00:01:53,120 --> 00:01:57,980
+وأرى هؤلاء، ما الذي يتصل بهم، أو هذه الكتلة ما الذي يتصل
+
+21
+00:01:57,980 --> 00:02:04,280
+بها من الـ neighbors، من الـ vertices المجاورة. نحن
+
+22
+00:02:04,280 --> 00:02:07,460
+كنا المرة التي فاتت، عندما وقفنا عند B وقلنا نضيف
+
+23
+00:02:07,460 --> 00:02:11,860
+C، وقلنا نضيف E أيضاً. E  نراها عبر A.
+
+24
+00:02:11,860 --> 00:02:18,140
+ممكن أن أنظر إليها هكذا، وممكن أن أنظر إليها، لماذا ليست
+
+25
+00:02:18,140 --> 00:02:21,460
+الكتلة هذه كلها هي المتصلة بها.
+
+26
+00:02:24,240 --> 00:02:28,960
+صح؟ المتصل بالكتلة هذه هم C و F و E بغض
+
+27
+00:02:28,960 --> 00:02:32,880
+النظر، E  قادمة عبر B، أو عبر A. فأنا في كل
+
+28
+00:02:32,880 --> 00:02:38,700
+iteration، بعد أن تنضم Vertex جديدة للمجموعة، أنظر
+
+29
+00:02:38,700 --> 00:02:41,940
+إلى المجموعة، وأنظر إلى المجموعة الأخرى التي
+
+30
+00:02:41,940 --> 00:02:46,720
+لم تنضم بعد، من منهم الآن على حدود من
+
+31
+00:02:46,720 --> 00:02:51,600
+منهم الآن على حدود، يعني ماذا؟ يعني في اتصال مباشر
+
+32
+00:02:54,620 --> 00:02:59,220
+مع مجموعة الـ Tree. هذا يعني، كما ترون هنا،
+
+33
+00:02:59,220 --> 00:03:03,680
+هناك Node مثل F، لها two edges من
+
+34
+00:03:03,680 --> 00:03:11,110
+المجموعة من الـ Tree، صح؟ فأنا سآخذ الـ minimum، يعني
+
+35
+00:03:11,110 --> 00:03:18,210
+عندما نتخيل أن الـ vertices المتبقية، التي هي
+
+36
+00:03:18,210 --> 00:03:24,670
+C و F و D و E، هذه التي لم تنضم الآن إلى
+
+37
+00:03:24,670 --> 00:03:30,110
+المجموعة التي داخل الـ tree، A و B.  الفضلة منهم
+
+38
+00:03:30,110 --> 00:03:33,870
+التي هي... لأن كل واحدة منهما، cost تبعتها
+
+39
+00:03:36,180 --> 00:03:41,120
+الـ cost  تابعتها هي الـ minimum cost. الـ C... الـ C
+
+40
+00:03:41,120 --> 00:03:46,620
+ليس لها إلا الـ edge هذه بينها وبين B. أما
+
+41
+00:03:46,620 --> 00:03:51,420
+F لها two edges، أربعة وخمسة.
+
+42
+00:03:51,420 --> 00:03:56,020
+أسجل الأربعة، والأربعة هذه قادمة عبر من؟ عبر
+
+43
+00:03:56,020 --> 00:04:00,700
+B. واضح؟ وهذا كنا نفعلُه هكذا، وموجود هنا، لكن
+
+44
+00:04:00,700 --> 00:04:06,500
+أنا الآن أنظر إليه بشكل مختلف قليلاً. في الأول، كنا
+
+45
+00:04:06,500 --> 00:04:09,960
+ننظر إليه على أساس الـ node الواحدة، والآن
+
+46
+00:04:09,960 --> 00:04:15,360
+سننظر على أساس المجموعة كلها، وما هي الروابط التي
+
+47
+00:04:15,360 --> 00:04:23,700
+بينها وبين المجموعة الأخرى. E، E كم؟
+
+48
+00:04:23,700 --> 00:04:30,880
+لا تزال 6، وعبر من؟ عبر A. D لا تزال لم
+
+49
+00:04:30,880 --> 00:04:36,080
+نراها، لا نراها عملياً. هؤلاء الذين لهم اتصال مباشر،
+
+50
+00:04:36,080 --> 00:04:41,940
+يحجبون من هم خلفهم. D
+
+51
+00:04:41,940 --> 00:04:47,550
+لغاية الآن تظهر ماذا؟ هل أنا مخطئ؟ إذا كان لدي فقط
+
+52
+00:04:47,550 --> 00:04:50,950
+A و B، هل أستطيع أن أرى D بأي وسيلة؟ لا،
+
+53
+00:04:50,950 --> 00:04:55,630
+تبقى الـ cost  لانهائية، وليس هناك A مجاور لها.
+
+54
+00:04:59,320 --> 00:05:04,520
+الآن، هذه C، و F بين أربعة وخمسة.
+
+55
+00:05:04,520 --> 00:05:12,400
+سجلنا الأربعة. طبعاً، الواحد هذا عبر من؟ F عبر من؟
+
+56
+00:05:12,400 --> 00:05:17,380
+هذا لانهائي. E ستة عبر ماذا؟ عبر ماذا؟ سآخذ من
+
+57
+00:05:17,380 --> 00:05:22,960
+الـ minimum، وأضيفها للمجموعة، صح؟ الكلام صحيح؟
+
+58
+00:05:22,960 --> 00:05:28,090
+نشطبها طبعاً من هنا. الآن، عندما انضمت C للمجموعة،
+
+59
+00:05:28,090 --> 00:05:34,770
+سأتخيل أن الـ Tree تمددت وأصبحت تضم هؤلاء
+
+60
+00:05:34,770 --> 00:05:44,770
+الثلاثة، وأيضاً سأرى الـ edges الخارجة من
+
+61
+00:05:44,770 --> 00:05:53,890
+هذه المجموعة للخارج. الآن D أصبحت، بينت
+
+62
+00:05:53,890 --> 00:05:59,170
+أصبح لها link مع المجموعة، F،  أربعة linkات
+
+63
+00:05:59,170 --> 00:06:03,310
+أو edges  تذهب إليها، ولكن لا تزال
+
+64
+00:06:03,310 --> 00:06:09,390
+الأربعة هي الـ minimum. F أصبح لها... أنا لم أكن
+
+65
+00:06:09,390 --> 00:06:12,770
+أقول أربعة links، أم... ثلاثة links...آه... ثلاثة
+
+66
+00:06:12,770 --> 00:06:16,990
+links. واحدة، اثنتان، ثلاثة. F لها ثلاثة
+
+67
+00:06:16,990 --> 00:06:23,490
+links أو ثلاثة edges، ولكن الـ minimum هو أربعة، وهي
+
+68
+00:06:23,490 --> 00:06:28,070
+... وهي التي تأتي من B. ليس هناك داعي لأبدلها و
+
+69
+00:06:28,070 --> 00:06:31,710
+أضع C مكانها. عملية ما علي الآن إعادة
+
+70
+00:06:31,710 --> 00:06:35,630
+التقييم،  يجب أن أُعيد التقييم، هذا اللانهائي لن يبقى. الـ
+
+71
+00:06:35,630 --> 00:06:40,730
+F  ستبقى، صح؟ ستبقى، و E الآن، ستبقى أم لا؟
+
+72
+00:06:40,730 --> 00:06:46,530
+ستبقى كما هي أيضاً، لأن ليس لدي... ليس لدي شئ
+
+73
+00:06:46,530 --> 00:06:54,800
+جديد لها، صح؟  هذه D، ماذا سيحدث لها؟ ستة
+
+74
+00:06:54,800 --> 00:07:00,360
+عبر من؟ عبر C. واضح
+
+75
+00:07:00,360 --> 00:07:03,700
+أن الـ Minimum هنا هو أربعة، فأخذ F.
+
+76
+00:07:03,700 --> 00:07:09,740
+صح؟ نشطبها. أيضاً، سأعمل إعادة تقييم لما
+
+77
+00:07:09,740 --> 00:07:15,660
+أخذت F. كيف سيكون شكل المجموعة هذه؟ هذه الـ edges
+
+78
+00:07:15,660 --> 00:07:16,360
+الخارجة
+
+79
+00:07:22,380 --> 00:07:28,520
+الآن D  أصبحت لها two edges، واحدة خمسة و
+
+80
+00:07:28,520 --> 00:07:34,540
+واحدة ستة. سآخذ الخمسة. الخمسة عبر من؟ عبر F.
+
+81
+00:07:34,540 --> 00:07:40,180
+و E  أصبحت لها two edges، واحدة اثنان، وواحدة ستة.
+
+82
+00:07:40,180 --> 00:07:44,420
+سآخذ ماذا؟ اثنان. عبر من؟ عبر F.
+
+83
+00:07:51,210 --> 00:07:56,570
+صح؟  سأختار من الـ minimum، الاثنين. فأضيف من...
+
+84
+00:07:56,570 --> 00:08:05,370
+أضيف E. أصبح
+
+85
+00:08:05,370 --> 00:08:10,810
+لدى يعني ثلاثة edges خارجة من مجموعة الـ Tree، و
+
+86
+00:08:10,810 --> 00:08:16,850
+تذهب إلى D. ثلاثة edges، لا تزال الخمسة هي الأصغر
+
+87
+00:08:16,850 --> 00:08:19,130
+واحدة منهم، okay؟
+
+88
+00:08:22,780 --> 00:08:28,360
+خلاص، آخذها أنا.
+
+89
+00:08:28,360 --> 00:08:32,520
+طبعاً، الآن، لا يكفي أن أسجل فقط الـ vertices،  يجب
+
+90
+00:08:32,520 --> 00:08:40,280
+أن أسجل أيضاً، من خلال من انضمت كل واحدة. وهذا هو أصلاً
+
+91
+00:08:40,280 --> 00:08:43,760
+الـ algorithm يعطيني الـ edges، لا يعطيني الـ
+
+92
+00:08:43,760 --> 00:08:44,140
+vertices.
+
+93
+00:08:48,780 --> 00:08:56,200
+فنحن هنا، عندما الـ algorithm... خلينا نمر على طبعاً
+
+94
+00:08:56,200 --> 00:08:59,660
+واضحة، وتحدثنا فيها، وتحدثنا عن الـ algorithm
+
+95
+00:08:59,660 --> 00:09:07,520
+هنا، عندما نقول نأخذ
+
+96
+00:09:07,520 --> 00:09:10,020
+... نرى من هو الأصغر، ونأخذه، ونضيفه.
+
+97
+00:09:15,420 --> 00:09:23,940
+يجب بعد أن ينضم، إعادة تعديل الـ cost هذه حسب
+
+98
+00:09:23,940 --> 00:09:29,540
+الوضع الجديد، صح؟ كما رأينا للتو، عندما انضمت من أول
+
+99
+00:09:29,540 --> 00:09:34,900
+واحدة، أثرت  C،  أثرت C، عندما انضمت كانت
+
+100
+00:09:34,900 --> 00:09:39,020
+D، cost  تابعتها لانهائية، أصبحت 6.  ثم أيضاً كذلك
+
+101
+00:09:39,020 --> 00:09:39,500
+الحال.
+
+102
+00:09:42,190 --> 00:09:46,590
+F  عندما انضمت غيّرت الـ cost  ابعاد E، وغيّرت الـ
+
+103
+00:09:46,590 --> 00:09:51,610
+cost  ابعاد D. D كنا نراها بـ 6 عبر C، أصبحت لأن
+
+104
+00:09:51,610 --> 00:09:56,530
+5 عبر F، و E كنا نراها بـ 6 عبر A، أصبحت لأن
+
+105
+00:09:56,530 --> 00:10:03,730
+نراها بـ 2 عبر F. فأي واحد ينضم، يجب علينا  ما هو
+
+106
+00:10:03,730 --> 00:10:12,300
+updating الـ cost  لمن بقوا في... okay. فهذا
+
+107
+00:10:12,300 --> 00:10:16,420
+الـ loop، تحدثنا عنه في محاضرة سابقة، okay. ندور
+
+108
+00:10:16,420 --> 00:10:21,600
+على كل الـ nodes، واحدة واحدة. نأخذهم، ثم نرى
+
+109
+00:10:21,600 --> 00:10:29,100
+نبحث عن الـ minimum، هنا بين من؟ بين الجماعة
+
+110
+00:10:29,100 --> 00:10:33,860
+التي أصبحت بالفعل في الـ tree، وبين أي أحد من
+
+111
+00:10:33,860 --> 00:10:38,480
+جيرانهم، صح؟  يعني، نحن عندما بدأنا، كنا حول
+
+112
+00:10:38,480 --> 00:10:43,670
+A و B. الآن A و B، B هي جيرانها
+
+113
+00:10:43,670 --> 00:10:48,730
+و A هي جيرانها. هؤلاء الثلاثة هم المرشحون.
+
+114
+00:10:48,730 --> 00:10:56,990
+نرى الـ edges الخارجة عنهم. أصغر edge. نرجع
+
+115
+00:10:56,990 --> 00:11:03,330
+مرة أخرى. الـ algorithm، نبحث عن E*، هي الـ edge
+
+116
+00:11:03,330 --> 00:11:12,330
+الأقل تكلفة بين الـ vertices، هذه الناحية قادمة من الـ
+
+117
+00:11:12,330 --> 00:11:14,850
+vertices الموجودة في الـ tree، والناحية الأخرى U
+
+118
+00:11:14,850 --> 00:11:24,670
+ستكون vertex من التي بقيت خارجاً. V is in VT و U in
+
+119
+00:11:24,670 --> 00:11:32,510
+V-VT،  التي هي الباقية، بعد أن نضيفها، بعد أن نضيف الـ
+
+120
+00:11:32,510 --> 00:11:38,890
+edge، ونضيف U، هذه الـ node التي الـ edge القصيرة
+
+121
+00:11:38,890 --> 00:11:43,210
+تذهب إليها. بعد أن نضيفها إلى VT، يجب أن نعمل update
+
+122
+00:11:43,210 --> 00:11:52,830
+للـ cost، cost تابع الـ... الـ nodes التي
+
+123
+00:11:52,830 --> 00:12:01,170
+بقيت في V، ننقصها حسب
+
+124
+00:12:01,170 --> 00:12:06,090
+ما... يعني هذا الـ label يأتي هنا بعد هذا.
+
+125
+00:12:13,580 --> 00:12:17,120
+Okay.  قلنا... قلنا أيضاً، ما هو الـ complexity
+
+126
+00:12:17,120 --> 00:12:22,620
+تابع هذه الـ problem، من ناحية الـ... من ناحية الـ
+
+127
+00:12:22,620 --> 00:12:25,960
+efficiency، أنه لو أردت أن أفعلها... أفعلها بـ
+
+128
+00:12:25,960 --> 00:12:31,860
+adjacency matrix. okay. أول شيء، يوجد لدي الـ loop
+
+129
+00:12:31,860 --> 00:12:38,400
+الأساسية تمشي V من المرات، okay. تدخل كل واحدة
+
+130
+00:12:38,400 --> 00:12:41,320
+من المرات، شيء.
+
+131
+00:12:47,630 --> 00:12:52,130
+أفحص، هذا الفحص find، ثم بعد ذلك أعمل الـ update.
+
+132
+00:12:52,130 --> 00:12:56,250
+الفحص والـ update،  هذا يعني أنني سأدور على كل
+
+133
+00:12:56,250 --> 00:13:01,330
+الـ nodes الأخرى.  الفحص لا يحتاج كل الـ nodes
+
+134
+00:13:01,330 --> 00:13:05,330
+الأخرى، لأنه ليست كلها ستبقى، ولكن الـ update
+
+135
+00:13:05,330 --> 00:13:11,850
+يُرتّب عليه أنني... الـ adjacency matrix تقول لي أن هذه
+
+136
+00:13:11,850 --> 00:13:19,700
+A وهذه الـ nodes الأخرى. فيجب أن أدور... أدور أين؟ في
+
+137
+00:13:19,700 --> 00:13:23,620
+A، بينها وبين أي node،  هذه edge، يجب أن أذهب لأعمل
+
+138
+00:13:23,620 --> 00:13:28,320
+update، إذا تطلب الأمر، أفحص الـ value الموجودة هناك، و
+
+139
+00:13:28,320 --> 00:13:31,360
+أرى  هل هذا الـ value  لا يزال هو الـ minimum، وما إذا كانت هناك
+
+140
+00:13:31,360 --> 00:13:35,260
+minimum أفضل منه، وهذه اللفة، عملية الـ
+
+141
+00:13:35,260 --> 00:13:38,040
+update، بدأت تدور عليهم جميعاً لأنني لا أعرف الـ...
+
+142
+00:13:38,040 --> 00:13:42,260
+الـ nodes المجاورة لـ A، ربما هذه، وربما هذه. وبقى
+
+143
+00:13:42,260 --> 00:13:44,200
+واحد منهم في الأول، وواحد منهم في الآخر، وواحد
+
+144
+00:13:44,200 --> 00:13:47,320
+منهم في المنتصف، فيجب أن أدور عليهم جميعاً، وهذا ما
+
+145
+00:13:47,320 --> 00:13:53,780
+يتطلب V تربيع، أنني في كل سطر يجب أن أدور على كل واحد
+
+146
+00:13:53,780 --> 00:14:00,140
+في السطر، okay.  يبقى هذا ما يسبب أن الـ
+
+147
+00:14:00,140 --> 00:14:06,220
+complexity  تصبح Big Theta of V تربيع، أو
+
+148
+00:14:09,100 --> 00:14:13,860
+عادة عناصر V،  يعني ماذا؟ مربع، هذا إذا كان JSON
+
+149
+00:14:13,860 --> 00:14:15,380
+Semantics  صحيح.
+
+150
+00:14:19,590 --> 00:14:23,870
+ما هي... ما هي المشكلة؟ صح، هو منطقي أنهم لا يحتاجون
+
+151
+00:14:23,870 --> 00:14:27,630
+الجميع، لكن لأنهم مخزنين في الـ
+
+152
+00:14:27,630 --> 00:14:31,890
+adjacency matrix، يعني كما وضحت لكم، والآن، هل
+
+153
+00:14:31,890 --> 00:14:36,930
+العنصر، الآن D و E، أريد...  لأن أول شيء
+
+154
+00:14:36,930 --> 00:14:40,670
+لأعمل update، يجب أن أرى إذا كان مجاوراً أم لا.
+
+155
+00:14:40,670 --> 00:14:42,690
+أعرف أنه مجاور أم لا من الـ
+
+156
+00:14:42,690 --> 00:14:47,260
+adjacency list، يجب أن أدور عليهم، أرى هل هناك link أم لا،
+
+157
+00:14:47,260 --> 00:14:50,380
+هل هناك edge أم لا، صح؟ فيجب أن أدور عليهم
+
+158
+00:14:50,380 --> 00:14:54,540
+جميعاً، لا أستطيع أن أعرف هل هذا العنصر مجاور أم لا
+
+159
+00:14:54,540 --> 00:14:57,420
+مجاور لأقرر هل يحتاج update أم لا.
+
+160
+00:14:57,420 --> 00:15:01,980
+يحتاج update  فقط عندما أدخل بالتسلسل...
+
+161
+00:15:01,980 --> 00:15:06,020
+بالتسلسل في الـ... الـ GSS، في السطر كله، من هذا
+
+162
+00:15:06,020 --> 00:15:15,630
+الجانب. طيب، لو لم يكن adjacency matrix، فسيوجد لدي عامل
+
+163
+00:15:15,630 --> 00:15:19,750
+هؤلاء، أضعهم في priority
+
+164
+00:15:19,750 --> 00:15:25,750
+queue، والمسألة أصبحت أنني آخذ دائماً الـ minimum.
+
+165
+00:15:25,750 --> 00:15:32,710
+عندما يأتي، أضيفه، آخذ واحداً من هنا وأضعه هنا، هو أصلاً
+
+166
+00:15:32,710 --> 00:15:35,610
+لأن priority queue  سيكون الـ minimum موجود
+
+167
+00:15:35,610 --> 00:15:40,490
+فعلياً على الـ top، على رأس الطابور، فأخذه، والآن
+
+168
+00:15:40,490 --> 00:15:45,850
+سأعمل update. الـ update هذا، updating الـ priority
+
+169
+00:15:45,850 --> 00:15:51,070
+queue، لا يأخذ cost  بالتسلسل، يأخذ log. الـ log
+
+170
+00:15:51,070 --> 00:15:56,130
+الـ... log  الـ input،  log الـ input، لأن الـ input تتناقص شيئاً فشيئاً.
+
+171
+00:15:56,130 --> 00:16:01,370
+صح، فأصبحت العملية، أنها صحيح،  يوجد loop
+
+172
+00:16:01,370 --> 00:16:05,870
+في الـ... في الـ algorithm،  يوجد loop، هذا عدد V
+
+173
+00:16:05,870 --> 00:16:12,790
+من المرات، لكن بداخل الـ update،  يوجد log.  log  ماذا؟ الـ V. الـ
+
+174
+00:16:12,790 --> 00:16:19,810
+update، سيكون
+
+223
+00:21:08,420 --> 00:21:11,460
+بس
+
+224
+00:21:11,460 --> 00:21:15,420
+إيش اللي بتعمله إنّها بتاخد الـ edges بتطلع على الـ
+
+225
+00:21:15,420 --> 00:21:21,620
+edges مش على الـ vertices و بترتبهم تصاعديًا،Okay؟ هذا
+
+226
+00:21:21,620 --> 00:21:27,640
+الـ BC وين أصغر H؟ هي هذه، صح؟ أقصر H، أقصر
+
+227
+00:21:27,640 --> 00:21:32,570
+H، بعديها هذه، بعدها الثلاثة، بعدها الأربعة
+
+228
+00:21:32,570 --> 00:21:35,630
+والأربعة، بعدها الخمسة والخمسة، الستة والستة،
+
+229
+00:21:35,630 --> 00:21:38,330
+وبعدها الثمانية، يتم ترتيبهم واحد، اثنين، ثلاثة،
+
+230
+00:21:38,330 --> 00:21:41,270
+أربعة، أربعة، خمسة، خمسة، ستة، ثمانية، مظبوط؟ هذول
+
+231
+00:21:41,270 --> 00:21:46,930
+الـ edges خلاص، تبدأ تاخدهم واحدة واحدة، بس بشرط،
+
+232
+00:21:46,930 --> 00:21:50,050
+شرط أساسي، وهو أنّه احنا قلنا الـ spanning tree هذه
+
+233
+00:21:50,050 --> 00:21:54,270
+لازم تبقى acyclic، ما يبقاش فيها cycles، فإذا أنا
+
+234
+00:21:54,270 --> 00:22:02,970
+بدأ أجيب edge و تعملي cycle يبقى برفضها، فالآن خلّي
+
+235
+00:22:02,970 --> 00:22:09,150
+بالك إنّ هاي الـ edge الأولى اللي هي أقصر واحدة اللي
+
+236
+00:22:09,150 --> 00:22:14,010
+هي BC بين بعضها، الـ EF، و اين الـ EF؟ في آخر الدنيا
+
+237
+00:22:14,010 --> 00:22:19,770
+ما فيش فيها أي connection، وهذا is okay لأنّه تدريجيًا
+
+238
+00:22:19,770 --> 00:22:27,030
+هتترابط الـ edges مع بعضها، يعني الآن الـ BC، وبعدين
+
+239
+00:22:27,030 --> 00:22:31,630
+الـ EF، هي صار عندي الـ two edges هنا، صح؟ مفرجين كمان
+
+240
+00:22:31,630 --> 00:22:36,250
+شوية، هتيجي واحدة edge أخرى، إما هذه أو هذه، و
+
+241
+00:22:36,250 --> 00:22:40,790
+يصيروا مترابطين مع بعض، المهم مش مهم التفرّق أو أنّه
+
+242
+00:22:40,790 --> 00:22:45,750
+يبقى disconnected، الـ tree مرحليًا طبعًا، هي في الآخر
+
+243
+00:22:45,750 --> 00:22:49,270
+eventually هتبقى connected، totally connected، بس
+
+244
+00:22:49,270 --> 00:22:52,970
+مرحليًا ممكن هذا مش مهم، يبقى disconnected، المهم
+
+245
+00:22:52,970 --> 00:22:56,510
+ما يبقاش، ما يبقاش فيه cycles، ففي أي لحظة من اللحظات
+
+246
+00:22:56,510 --> 00:23:00,790
+يطلع عندي cycle، لأنّه بدي أبني، أعمل tree صغيرة
+
+247
+00:23:00,790 --> 00:23:06,790
+ويبقى فيها cycle وأكمل، okay، فالآن الواحد، بعدين
+
+248
+00:23:06,790 --> 00:23:11,050
+الاثنين، الثلاثة، اللي هي الـ AB، هل لو أنا أضفتها
+
+249
+00:23:11,050 --> 00:23:19,770
+بيصير في cycle؟ لأ، فباخدها، الـ BF، الـ BF لو أضفتها بيصير
+
+250
+00:23:19,770 --> 00:23:27,630
+فيه cycle؟ لأ، باخدها، الـ CF، طبعًا حيصير فيه cycle، و
+
+251
+00:23:27,630 --> 00:23:31,590
+هذا برضه لو أخدته حيصير فيه cycle، صح؟ فباخدهم
+
+252
+00:23:31,590 --> 00:23:36,570
+مظبوط؟
+
+253
+00:23:36,570 --> 00:23:45,140
+يعني الـ AF، الـ CF، و الـ AF، الـ CF والـ AF مش هاخدهم
+
+254
+00:23:45,140 --> 00:23:53,360
+مين بتدور بعد هيك؟ الـ DF، الـ DF بتعملش Cycle، باخدها
+
+255
+00:23:53,360 --> 00:24:01,200
+بعدين الـ AE، الـ AE بتعمل، بتعمل لي Cycle هنا، باخدهاش
+
+256
+00:24:01,200 --> 00:24:06,480
+باخدهاش، الـ
+
+257
+00:24:06,480 --> 00:24:15,190
+CD، الـ C، بعد الـ D، بتعمل Cycle، تعمل cycle وين؟ هناك
+
+258
+00:24:15,190 --> 00:24:22,690
+باخدهاش، الـ DE تعملش cycle، صح؟ تعمل، آه، هي المثلث
+
+259
+00:24:22,690 --> 00:24:28,190
+هذا، خلاص، باخدهاش، ابقى مين اللي أخدتهم بس، خلاص، هي
+
+260
+00:24:28,190 --> 00:24:33,730
+ده الـ tree، هدول اللي أخدتهم هم الـ tree، okay، وهو
+
+261
+00:24:33,730 --> 00:24:37,510
+نفس الـ solution اللي طلع معانا في الـ Prim's
+
+262
+00:24:37,510 --> 00:24:41,550
+algorithm، الـ tree في الآخر بتتكون من الـ A متصل
+
+263
+00:24:41,550 --> 00:24:48,470
+إليها الـ B، متصلة على ناحية الـ F، وعلى ناحية الـ C
+
+264
+00:24:48,470 --> 00:24:54,150
+الـ F متصلة على ناحية الـ D، وعلى ناحية الـ E، هذه
+
+265
+00:24:54,150 --> 00:24:57,430
+الـ Tree هي نفسها، لو أردت أرسم طبقة الـ Prim's هي
+
+266
+00:24:57,430 --> 00:24:58,190
+نفسها
+
+267
+00:25:04,340 --> 00:25:07,400
+وخلّي بالك لو برضه في الـ Prim's algorithm، احنا في
+
+268
+00:25:07,400 --> 00:25:12,100
+الـ Prim's algorithm، أخدنا الـ A كـ initial node
+
+269
+00:25:12,100 --> 00:25:15,460
+وقلنا إنّ الـ initial node ممكن تكون عشوائية، لو أخدت
+
+270
+00:25:15,460 --> 00:25:19,040
+الـ F، ولو أخدت الـ D، ولو أخدت الـ E، وبدأتي تمشي
+
+271
+00:25:19,040 --> 00:25:22,100
+Prim's algorithm، وكوّنتي الـ edges، في الآخر برضه
+
+272
+00:25:22,100 --> 00:25:28,180
+هيطلع معاكي نفس الـ tree، هي احتمال يطلع مش نفسها، بس
+
+273
+00:25:28,180 --> 00:25:34,000
+هتطلع الـ cost هي هي، صح ولا لأ؟ يعني مثلًا هاي، هذا
+
+274
+00:25:34,000 --> 00:25:44,680
+الخيار هنا A,B,C، الـ F اتفرقت من الـ B، صح؟ لو احنا
+
+275
+00:25:44,680 --> 00:25:47,840
+خلّيناها تتفرّع من الـ C، يعني لو عملنا هيك
+
+276
+00:26:02,940 --> 00:26:06,400
+هذه برضه another spanning tree، صح؟ هنا الـ cost
+
+277
+00:26:06,400 --> 00:26:17,660
+جديش؟ هي واحد و...واحد وجديش؟ BF و BC، BC
+
+278
+00:26:17,660 --> 00:26:25,180
+هي الواحد، هذه ثلاثة، صح؟ الـ F دي جديش؟ خمسة، و الـ
+
+279
+00:26:25,180 --> 00:26:34,980
+EF جديش؟ اثنين، جديش الـ total كله؟ هي 8، 10، 15، هنا
+
+280
+00:26:34,980 --> 00:26:38,140
+الـ A,B...أنا...أنا طلع كيف...إيش الاختلاف بين
+
+281
+00:26:38,140 --> 00:26:42,280
+هذه وهذه؟ أنّه أنا بدل ما آخد الـ link هذه، أخدت...
+
+282
+00:26:42,280 --> 00:26:47,420
+بدل ما آخد هذه، أخدت هذه، اللي هي نفس الـ cost، صح؟
+
+283
+00:26:47,420 --> 00:26:54,070
+okay، بدل ما آخد هذه، أخدت هذه، فهى الـ A,B ثلاثة، الـ B
+
+284
+00:26:54,070 --> 00:26:59,950
+,C واحد، الـ C,F الآن بدل الـ H، بدل الـ B,F أخدت الـ C
+
+285
+00:26:59,950 --> 00:27:04,070
+,F، هاي أربعة، هدولة زي ما هما، خمسة واثنين، نفس
+
+286
+00:27:04,070 --> 00:27:09,450
+الشيء، خمسة عشر، هي الثمانية وهي الاثنين وهي الخمسة
+
+287
+00:27:14,840 --> 00:27:17,340
+باختصار، ما أنا بقوله إنّ الاختلاف بين الـ two
+
+288
+00:27:17,340 --> 00:27:21,800
+algorithms الآن، بين الـ Prim's والكروسكال، اللي هي أنّه
+
+289
+00:27:21,800 --> 00:27:27,020
+هذه بتاخد الـ edges، بترتبهم، وبتّمشي عليهم على أساس
+
+290
+00:27:27,020 --> 00:27:31,380
+بس بتاخدهم، يعني بتضم الـ edges بشرط أنّه ما يكون فيه
+
+291
+00:27:31,380 --> 00:27:35,560
+cycle، هتطلع لها الـ minimum tree، هتكون هي نفسها الـ
+
+292
+00:27:35,560 --> 00:27:39,900
+minimum tree طلعت لها الـ Prim's algorithm، okay، إذا
+
+293
+00:27:39,900 --> 00:27:45,160
+مش هي، هتكون نفس الـ cost، هتكون نفس الـ minimum cost
+
+294
+00:27:45,160 --> 00:27:48,840
+طيب
+
+295
+00:27:48,840 --> 00:27:51,980
+الآن هنا في نقطة صغيرة، بس هي لما نطلع على الـ
+
+296
+00:27:51,980 --> 00:27:56,520
+algorithm اللي هي الـ Kruskal algorithm، فوق
+
+297
+00:27:56,520 --> 00:28:03,640
+صارت، okay
+
+298
+00:28:03,640 --> 00:28:09,060
+هي هي، أنّه ببساطة، احنا طبعًا بتبقى الـ ET، يعني اللي
+
+299
+00:28:09,060 --> 00:28:13,580
+هي إيش؟ الـ edges تبع tree، مش احنا بنرتبهم، و
+
+300
+00:28:13,580 --> 00:28:22,340
+ناخدهم ونحطّهم في الـ ET، تبقى فاضية، الـ
+
+301
+00:28:22,340 --> 00:28:30,220
+edge counter، ببدأ من من صفر إلى vertices
+
+302
+00:28:30,220 --> 00:28:33,440
+ناقص واحد، لأنّ في كلّ
+
+303
+00:28:36,190 --> 00:28:43,170
+في كلّ edge، بنفحص هذا الـ edge، إيش
+
+304
+00:28:43,170 --> 00:28:52,310
+هذا الـ edge، أنا واقف على node
+
+305
+00:28:52,310 --> 00:29:00,790
+و بتطلع على كلّ
+
+306
+00:29:00,790 --> 00:29:05,570
+edge، إذا أنا بدّي أضيف هذا الـ edge، هل لما أضيفها
+
+307
+00:29:05,570 --> 00:29:09,430
+هيبقى فيه cycle ولا لأ؟ فالـ edge هذه اللي أنا راجِع
+
+308
+00:29:09,430 --> 00:29:15,190
+عليها، لو عملت union مع الـ current edges اللي
+
+309
+00:29:15,190 --> 00:29:23,110
+already في الـ tree، هل هيطلع فيه cycle ولا لأ؟ if
+
+310
+00:29:23,110 --> 00:29:27,090
+it's acyclic، يعني ما فيه cycles، بروح إيش بسوي؟
+
+311
+00:29:27,090 --> 00:29:33,780
+بضيفها، وبعمل update للـ ET، لأنّ هذا الـ check هذا
+
+312
+00:29:33,780 --> 00:29:39,080
+لحاله بده function أو algorithm فرعية، الـ algorithm
+
+313
+00:29:39,080 --> 00:29:42,060
+هذه أو الـ function هذه، بدها تاخد الـ edge الجديدة
+
+314
+00:29:42,060 --> 00:29:46,920
+وتاخد الـ edges اللي already موجودة في ET، وتشوف هل
+
+315
+00:29:46,920 --> 00:29:54,840
+دخول هذه الـ edge على الموجودين، بيطلّع لي...بيطلّع لي
+
+316
+00:29:54,840 --> 00:29:59,830
+tree فيها cycles ولا لأ؟ الآن احنا عارفين إنّ
+
+317
+00:29:59,830 --> 00:30:04,950
+الموجودين هنا في ET، ممكن ما يكونوش هم كلهم مترابطين
+
+318
+00:30:04,950 --> 00:30:10,590
+مع بعض بشكل واحد، يعني زي مين؟ زي إتاو لما بدينا هاي
+
+319
+00:30:10,590 --> 00:30:20,710
+two edges، هذه وهذه، مش مترابطين، صح؟ فالـ edges اللي
+
+320
+00:30:20,710 --> 00:30:25,110
+في الـ ET، مش ضروري يكونوا بشكل tree، بغض النظر
+
+321
+00:30:25,110 --> 00:30:27,650
+بيشكّلوا tree ولا لأ، إن شاء الله بيشكّلوا خمسة عشر
+
+322
+00:30:27,650 --> 00:30:31,430
+tree، أنا جايب H جديدة عليهم، هل الـ H الجديدة
+
+323
+00:30:31,430 --> 00:30:36,090
+هتعمل، إذا هم خمسة عشر subtree، هتعمل cycle مع أي واحد
+
+324
+00:30:36,090 --> 00:30:42,490
+منهم، إذا بتعمل cycle، بتديها شيها، okay، فبغض النظر عن
+
+325
+00:30:42,490 --> 00:30:46,110
+اللي بنقولها، الـ ET هذه اللي بداخلها هم الـ tree
+
+326
+00:30:46,110 --> 00:30:50,230
+بيشكّلوا connected الـ tree، واحدة أو مش connected
+
+327
+00:30:51,540 --> 00:30:55,460
+السؤال هو، الجديد اللي هتيجي تدخل عليهم، هتعمل cycle
+
+328
+00:30:55,460 --> 00:30:59,680
+ولا...مش هتعمل، وهذا الشغل اللي هو الـ algorithm
+
+329
+00:30:59,680 --> 00:31:02,620
+هذه، الـ algorithm الأعلى، لما احنا نيجي نطلع على الـ
+
+330
+00:31:02,620 --> 00:31:07,980
+complexity، معلش، فوق ال...okay، الـ complexity تبع
+
+331
+00:31:07,980 --> 00:31:12,100
+الـ Kruskal algorithm ككل، بدها تكون عبارة عن الـ
+
+332
+00:31:12,100 --> 00:31:15,940
+while loop هذه، بتجري عدد مراتها بعدد الـ vertices
+
+333
+00:31:15,940 --> 00:31:20,300
+صح؟ في كلّ مرة بده إيش؟
+
+334
+00:31:29,950 --> 00:31:36,030
+هو صح، بدأ تلف بعدد الـ vertices، بس هتمر على الـ edges
+
+335
+00:31:36,030 --> 00:31:41,550
+لأنّه في كلّ vertex، يعني هنا طلع كيف لما كنا...
+
+336
+00:31:41,550 --> 00:31:53,310
+وين؟ تحت؟ هذه المشكلة في حياتهم الآن، هذه
+
+337
+00:31:53,310 --> 00:31:55,290
+الـ vertices
+
+338
+00:31:59,230 --> 00:32:02,550
+أنا في كلّ vertex، فيها إنّي مجموع من الـ edges على الـ
+
+339
+00:32:02,550 --> 00:32:07,490
+other vertices، صح؟ يعني أنا صح، هلف على الـ vertices
+
+340
+00:32:07,490 --> 00:32:11,630
+كلّ واحدة، بس هشوف الـ edges المتصلة بها، okay، يبقى في
+
+341
+00:32:11,630 --> 00:32:16,810
+المجمل، أنا عدد المرات، عدد العمليات الصح اللي بتتم
+
+342
+00:32:16,810 --> 00:32:20,570
+بتتم، بعدد، بعدد الـ edges مش بعدد الـ vertices
+
+343
+00:32:20,570 --> 00:32:27,530
+مظبوط؟ يعني صح، الـ loop صح، الـ loop بت...بتلف على
+
+344
+00:32:29,180 --> 00:32:33,820
+بتلف على الـ vertices، لكن هتعمل العملية هذه لتشيك
+
+345
+00:32:33,820 --> 00:32:42,480
+هذا أكتر من مرة، بعدد الـ edges، لأنّ كلّ vertex ممكن يكون
+
+346
+00:32:42,480 --> 00:32:48,660
+يطلع منها واحد أو أكتر من واحد من الـ edges، يبقى الـ
+
+347
+00:32:48,660 --> 00:32:54,520
+complexity هي عدد الـ edges ضرب جديش بده تاخد هذه
+
+348
+00:32:54,520 --> 00:32:59,540
+عملية الفحص هذه، جديش بده تاخد time، الـ time هذا
+
+349
+00:32:59,540 --> 00:33:03,720
+أفضل...هو حاطط هنا في الكتاب اللي هو الـ
+
+350
+00:33:03,720 --> 00:33:07,460
+algorithms المختلفة اللي ممكن تستخدم...حاطط
+
+351
+00:33:07,460 --> 00:33:11,280
+واحدة أو اثنين منها، اللي هي Disjoint Subsets and
+
+352
+00:33:11,280 --> 00:33:13,820
+Union Find Algorithms، الـ Union Find Algorithms
+
+353
+00:33:13,820 --> 00:33:17,060
+هذه، اللي هي الـ Algorithm اللي بتاخد الـ Edge، و
+
+354
+00:33:17,060 --> 00:33:21,060
+بتاخد الـ ET، وتشوف إذا كان بتعمل Cycle ولا لأ، فهذه
+
+355
+00:33:21,060 --> 00:33:26,600
+بتاخد، في الـ worst case، بتاخد Log
+
+356
+00:33:35,600 --> 00:33:44,380
+log عدد الـ edges، هذا الكلام بيضرب في الـ E، الـ Y
+
+357
+00:33:44,380 --> 00:33:49,200
+loop، فبتطلع
+
+358
+00:33:49,200 --> 00:34:02,460
+في نهاية الـ E ضرب Log E، طبعًا الـ E يعني أنا اقصد
+
+359
+00:34:02,460 --> 00:34:08,850
+فيها عدد عناصر الـ E، الـ E هذه  البرانية جاية من الـ
+
+360
+00:34:08,850 --> 00:34:16,770
+while loop، والـ log ده جاي من الخوارزمية، الفحص، طيب
+
+361
+00:34:16,770 --> 00:34:20,010
+خلاص، احنا المحاضرة الجاية إن شاء الله، هيك بنكون
+
+362
+00:34:20,010 --> 00:34:25,090
+وصلنا عند نهاية الـ section تسعة، اثنين، تسعة، اثنين
+
+363
+00:34:25,090 --> 00:34:29,510
+المحاضرة الجاية، بحدد لكم إيش الـ problems تبعته
+
+364
+00:34:29,510 --> 00:34:31,530
+وبنبدأ في تسعة، اثنين
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4887ef1a1a9f816f4e8f4c131c39ca9dd1afd273
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU_postprocess.srt
@@ -0,0 +1,1456 @@
+1
+00:00:20,840 --> 00:00:23,080
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,080 --> 00:00:26,480
+المصريين اليوم ان شاء الله بنكمل ال prims
+
+3
+00:00:26,480 --> 00:00:29,920
+algorithm من مطر ما وقفنا المحاضرة الماضية و بعدها
+
+4
+00:00:29,920 --> 00:00:34,160
+بنكمل نشوف ال cross calls algorithm اللي يتعالج
+
+5
+00:00:34,160 --> 00:00:38,720
+نفس ال problem ال prims algorithm وقفنا المحاضرة
+
+6
+00:00:38,720 --> 00:00:41,920
+الماضية بعد ما شوفنا كيف بتشتغل وقفنا عند ال
+
+7
+00:00:41,920 --> 00:00:45,180
+efficiency خلينا على السريع نرجع تاني و نراجع كيف
+
+8
+00:00:45,180 --> 00:00:50,480
+هي بتشتغلشيء الأساسي يجب أن تنتبهي له في عمل ال
+
+9
+00:00:50,480 --> 00:00:54,520
+algorithm اللي هي على أساس سميتها greedy انها في
+
+10
+00:00:54,520 --> 00:00:58,940
+كل .. هي بالاصل بتبدأ ب single node بتتاخد ..
+
+11
+00:00:58,940 --> 00:01:02,680
+بتتاخد عشوائي و بتتوسع هذه ال node عشان تضم معاها
+
+12
+00:01:02,680 --> 00:01:06,940
+.. تضم معاها more .. more nodes أو vertices صح؟
+
+13
+00:01:08,090 --> 00:01:13,250
+قرار إن مين اللي اضمها معاها بيتمد على اللي هو ال
+
+14
+00:01:13,250 --> 00:01:19,770
+minimum يعني في الأول هي كانت A لحالها استكشفت مين
+
+15
+00:01:19,770 --> 00:01:23,010
+الجيران اللي حواليها لجتهم ال E و ال F و ال B
+
+16
+00:01:23,010 --> 00:01:33,430
+الأقرب إليها اللي هو التلاتة أخدت ال B الآن صار
+
+17
+00:01:33,430 --> 00:01:41,020
+عندي ال A و ال B صاروا وين جوا؟VT Vertices of Only
+
+18
+00:01:41,020 --> 00:01:45,900
+Tree الان بدك تنتبه لشغل ربما ما ذكرناه في الحاضر
+
+19
+00:01:45,900 --> 00:01:53,120
+الماضي اللي هي انه انا بدأ ابص على هذه الكتلة معا
+
+20
+00:01:53,120 --> 00:01:57,980
+و اشوف هدولة ايش متصل بهم او هذه الكتلة ايش متصل
+
+21
+00:01:57,980 --> 00:02:04,280
+بها من ال neighbors من ال vertices المجاورةأحنا
+
+22
+00:02:04,280 --> 00:02:07,460
+كنا المرة اللي فاتت لما نقفنا على B وقلنا فيها ندي
+
+23
+00:02:07,460 --> 00:02:11,860
+ال C وقلنا فيها ندي ال E أيضا E بنشوفها عبر ال A
+
+24
+00:02:11,860 --> 00:02:18,140
+ممكن أنظر إليها هيك وممكن أنظر إليها أنه ليش ما هي
+
+25
+00:02:18,140 --> 00:02:21,460
+الكتلة هذه كلها هي المتصل إبها
+
+26
+00:02:24,240 --> 00:02:28,960
+صح؟ المتصل بالكتلة دي هم الـC و الـF و الـE بغض
+
+27
+00:02:28,960 --> 00:02:32,880
+النظر الـE جاية عبر الـB و لا عبر الـA فأنا في كل
+
+28
+00:02:32,880 --> 00:02:38,700
+iteration بعد ما تنضم Vertex جديد للمجموعة بانظر
+
+29
+00:02:38,700 --> 00:02:41,940
+إلى المجموعة و أنظر إلى المجموعة الأخرى اللي
+
+30
+00:02:41,940 --> 00:02:46,720
+ضايقين لسه ما انضموش مين منهم الآن على حدود مين
+
+31
+00:02:46,720 --> 00:02:51,600
+منهم الآن على حدود يعني إيش؟ يعني في اتصال مباشر
+
+32
+00:02:54,620 --> 00:02:59,220
+مع مجموعة الـ Tree هذا ألف بقى انه زي ما تشوف هنا
+
+33
+00:02:59,220 --> 00:03:03,680
+هي عندك node زي ال F هذه جايلها two edges من
+
+34
+00:03:03,680 --> 00:03:11,110
+المجموعة من ال Tree صح؟فانا هاخد ال minimum يعني
+
+35
+00:03:11,110 --> 00:03:18,210
+لما احنا نتخيل ان ال vertices اللي فضلت اللي هم ال
+
+36
+00:03:18,210 --> 00:03:24,670
+C و ال F و ال D و ال E هدول اللي لسه الآن هي
+
+37
+00:03:24,670 --> 00:03:30,110
+المجموعة اللي جوا ال tree ال A و ال B الفضلين منهم
+
+38
+00:03:30,110 --> 00:03:33,870
+اللي هم .. لأن كل واحدة منهم ال course تبعتها
+
+39
+00:03:36,180 --> 00:03:41,120
+الـ cost تبعتها هي ال minimum cost الـ C .. الـ C
+
+40
+00:03:41,120 --> 00:03:46,620
+مافيش إلا ال edge هذه ما بينها و ما بين ال B أما
+
+41
+00:03:46,620 --> 00:03:51,420
+ال F في two edges رايحت عليها الأربعة و الخمسة
+
+42
+00:03:51,420 --> 00:03:56,020
+بسجل الأربعة و بسجل الأربعة هذي جاية عبر مين؟ عبر
+
+43
+00:03:56,020 --> 00:04:00,700
+ال Bواضح؟ وهذا كنا احنا بنسويه هيت وموجود هنا بس
+
+44
+00:04:00,700 --> 00:04:06,500
+انا الان بانظر اليه بشكل شويه مختلف في الأول احنا
+
+45
+00:04:06,500 --> 00:04:09,960
+كنا بننظر اليه على أساس ال node الواحدة والان
+
+46
+00:04:09,960 --> 00:04:15,360
+هننظر على أساس المجموعة كلها وإيش في روابط ما
+
+47
+00:04:15,360 --> 00:04:23,700
+بينها وما بين المجموعة الأخرى ال Eال E قداش؟
+
+48
+00:04:23,700 --> 00:04:30,880
+لازالت 6 و عبر مين؟ عبر ال A ال D لازالت لسه مش
+
+49
+00:04:30,880 --> 00:04:36,080
+مشيوف مش شايفينها عمليا هدولة اللي متواصلين اللي
+
+50
+00:04:36,080 --> 00:04:41,940
+في تصال مباشرة عليهم مغطين على اللي وراهم فال D
+
+51
+00:04:41,940 --> 00:04:47,550
+لغاية الآن بتظهر ايش؟ رانا غلطان؟إذا أنا عندي بس
+
+52
+00:04:47,550 --> 00:04:50,950
+ال A و ال B، هل بقدر أشوف ال D بأي وسيلة؟ مافيش،
+
+53
+00:04:50,950 --> 00:04:55,630
+بتظل ال cost infinity و مافيش A مجاور إليها
+
+54
+00:04:59,320 --> 00:05:04,520
+الان هاي ال C واحد ال F ما بين الأربعة والخمس
+
+55
+00:05:04,520 --> 00:05:12,400
+سجلنا الأربعة طبعا ال واحد ده عبر بي ال F عبر بي
+
+56
+00:05:12,400 --> 00:05:17,380
+ال هد infinity ال E ست عبر ايه؟ عبر ايه؟ هاخد من
+
+57
+00:05:17,380 --> 00:05:22,960
+ال minimum وضمها للمجموعة صح؟ مظبوطة الكلام؟
+
+58
+00:05:22,960 --> 00:05:28,090
+مشتوبها طبعا من هناالان عندما انضمت الـ C للمجموعة
+
+59
+00:05:28,090 --> 00:05:34,770
+سأتخيل أن الـ Tree تمددت و أصارت بالضم هؤلاء
+
+60
+00:05:34,770 --> 00:05:44,770
+التلاتة وأيضا سأشوف ال edges اللي طالعة من
+
+61
+00:05:44,770 --> 00:05:53,890
+هذه المجموعة على الخارج هلحين ال D صارت الآنبينت
+
+62
+00:05:53,890 --> 00:05:59,170
+صار فى link عليها مع المجموعة ال F صار فى أربع
+
+63
+00:05:59,170 --> 00:06:03,310
+linkات رايحت عليها أو edges رايحت عليها بس لازال
+
+64
+00:06:03,310 --> 00:06:09,390
+الأربعة هي ال minimum ال F صار فى .. انا مش كنت
+
+65
+00:06:09,390 --> 00:06:12,770
+أقول أربع linkات ولا .. تلت linkات .. أه .. تلت
+
+66
+00:06:12,770 --> 00:06:16,990
+linkات واحدة، اتنين، تلتة ال F رايح عليها تلت
+
+67
+00:06:16,990 --> 00:06:23,490
+links أو تلت edges بس ال minimum مقدرها أربعةو هي
+
+68
+00:06:23,490 --> 00:06:28,070
+.. و هي اللي جاي من الـ B مافيش داعي أني أبدلها و
+
+69
+00:06:28,070 --> 00:06:31,710
+أحط الـ C بدلها فعملية اللي أنا الآن بدي أعيد
+
+70
+00:06:31,710 --> 00:06:35,630
+تقييم لازم أعيد تقييم، هذا ال infinity مش هتظل ال
+
+71
+00:06:35,630 --> 00:06:40,730
+F هدي راح صح هتظل و هتظل ال E الآن هتظل ولا لا؟
+
+72
+00:06:40,730 --> 00:06:46,530
+برضه هتظل زي ما هي، لأن مافي عندي .. مافي عندي إشي
+
+73
+00:06:46,530 --> 00:06:54,800
+استجد بالنسبة إليها، صح؟هذا الـ D ماذا سيحصل؟ ستة
+
+74
+00:06:54,800 --> 00:07:00,360
+عبر مين؟ عبر الـ C واضح
+
+75
+00:07:00,360 --> 00:07:03,700
+أنه الـ Minimum في الدولة هي الأربعة فبأخد الـ F
+
+76
+00:07:03,700 --> 00:07:09,740
+صح؟ بشطبها الـ M برضه بدرجة أعمل إعادة تقييمي لما
+
+77
+00:07:09,740 --> 00:07:15,660
+أخدت الـ F كيف حيصير شكل المجموعة دي؟ هذي ال edges
+
+78
+00:07:15,660 --> 00:07:16,360
+اللي طالعة
+
+79
+00:07:22,380 --> 00:07:28,520
+الان ال D صارت جاي عليها two edges واحدة خمسة و
+
+80
+00:07:28,520 --> 00:07:34,540
+واحدة ستة بدي اخد الخمسة الخمسة عبر مين؟ عبر ال F
+
+81
+00:07:34,540 --> 00:07:40,180
+وال E صار عليها two edges واحدة اتنين و واحدة ستة
+
+82
+00:07:40,180 --> 00:07:44,420
+بدي اخد ايش؟ اتنين عبر مين؟ عبر ال F
+
+83
+00:07:51,210 --> 00:07:56,570
+صح؟ حاجة أطلع من الـ Minimum الاتنين فبضم من ..
+
+84
+00:07:56,570 --> 00:08:05,370
+بضم الـ E صار
+
+85
+00:08:05,370 --> 00:08:10,810
+عندي يعني تلاتة edges طالعين من بجمعة الـ Tree و
+
+86
+00:08:10,810 --> 00:08:16,850
+رايحين على الـ D تلاتة edges لازالت الخمسة هي أقل
+
+87
+00:08:16,850 --> 00:08:19,130
+واحدة فيهم okay؟
+
+88
+00:08:22,780 --> 00:08:28,360
+خلاص باخدها انا
+
+89
+00:08:28,360 --> 00:08:32,520
+طبعا الان لا يكفي ان انا اسجل بس ال vertices لازم
+
+90
+00:08:32,520 --> 00:08:40,280
+اسجل ايضا من كل واحدة عبر مين انضمت وهذا هو اصلا
+
+91
+00:08:40,280 --> 00:08:43,760
+ال algorithm بتعطيني ال edges مش بتعطيني ال
+
+92
+00:08:43,760 --> 00:08:44,140
+vertices
+
+93
+00:08:48,780 --> 00:08:56,200
+فاحنا لان هنا لما ال algorithm خلينا نمر على طبعا
+
+94
+00:08:56,200 --> 00:08:59,660
+واضحة و حكينا فيها الكلام و حكينا في ال algorithm
+
+95
+00:08:59,660 --> 00:09:07,520
+هنا لان لما احنا بنقول بناخد
+
+96
+00:09:07,520 --> 00:09:10,020
+.. بنشوف مين أقل و بناخدها و بنضمها
+
+97
+00:09:15,420 --> 00:09:23,940
+لازم بعد ما تنضم يعاد تعديل ال course هذه حسب
+
+98
+00:09:23,940 --> 00:09:29,540
+الوضع الجديد صح؟ زي ما شوفنا توه لما انضمت مين أول
+
+99
+00:09:29,540 --> 00:09:34,900
+واحدة أثرت اللي هي الـC؟ اه الـC لما انضمت كانت
+
+100
+00:09:34,900 --> 00:09:39,020
+الـD course تبعتها infinity صارت 6 ثم أيضا كذلك
+
+101
+00:09:39,020 --> 00:09:39,500
+الحال
+
+102
+00:09:42,190 --> 00:09:46,590
+الـ F لما انضمت غيرت ال cost أبعاد ال E وغيرت ال
+
+103
+00:09:46,590 --> 00:09:51,610
+cost أبعاد ال D ال D كنا بنشوفها ب 6 عبر C صار لان
+
+104
+00:09:51,610 --> 00:09:56,530
+5 عبر F و ال E كنا بنشوفها ب 6 عبر ال A صار لان
+
+105
+00:09:56,530 --> 00:10:03,730
+شوفها ب 2 عبر ال F فأي واحد بتنضم بدل عاد اللي هو
+
+106
+00:10:03,730 --> 00:10:12,300
+updating ال cost للي فضلين في ال ..Okay فهنا هذا
+
+107
+00:10:12,300 --> 00:10:16,420
+ال loop احنا حكينا فيه في محاضرة ماضية okay بنلف
+
+108
+00:10:16,420 --> 00:10:21,600
+على كل ال notes واحدة واحدة بناخدهم بعد كده بنشوف
+
+109
+00:10:21,600 --> 00:10:29,100
+بنبحث على ال minimum هنا مابين مين؟ مابين الجماعة
+
+110
+00:10:29,100 --> 00:10:33,860
+اللي already صاروا في ال tree و مابين أي حد من
+
+111
+00:10:33,860 --> 00:10:38,480
+جيرانهم صح؟ يعني احنا لما بدأنا بالاصل كنا جولنا
+
+112
+00:10:38,480 --> 00:10:43,670
+ال A و ال Bالان الـ A و الـ B الـ B هي جيرانها
+
+113
+00:10:43,670 --> 00:10:48,730
+والـ A هي جيرانها فهي التلاتة هدول هم الملشحين
+
+114
+00:10:48,730 --> 00:10:56,990
+نشوف ال edges اللي طالع عليهم أصغر edge نرجع
+
+115
+00:10:56,990 --> 00:11:03,330
+تاني ال algorithm احنا بنبحث عن E star هي ال edge
+
+116
+00:11:03,330 --> 00:11:12,330
+الأقل تكلفة ما بين vertices الناحية هذه جاية منالـ
+
+117
+00:11:12,330 --> 00:11:14,850
+vertices اللي في الـ tree و الناحية التانية الـ U
+
+118
+00:11:14,850 --> 00:11:24,670
+بتكون vertex من اللي ضايلين برا V is in VT و U in
+
+119
+00:11:24,670 --> 00:11:32,510
+V-VT اللي هو بالباقين بعد ما نضمها بعد ما نضم ال
+
+120
+00:11:32,510 --> 00:11:38,890
+edge و نضم ال U هذه ال node اللي ال edge القصيرة
+
+121
+00:11:38,890 --> 00:11:43,210
+بتود عليهابعد ما نضمها على ال VT لازم نعمل update
+
+122
+00:11:43,210 --> 00:11:52,830
+لل cost ال cost تبعت اللي هو ال .. ال notes اللي
+
+123
+00:11:52,830 --> 00:12:01,170
+ضايلين في ال V نقصتي حسب
+
+124
+00:12:01,170 --> 00:12:06,090
+ما .. يعني هذا ال label بيجي هنا بعد هذا
+
+125
+00:12:13,580 --> 00:12:17,120
+Okay طيب قلنا .. قلنا أيضا اللي هو ال complexity
+
+126
+00:12:17,120 --> 00:12:22,620
+تبع ال problem هذه إنها من ناحية ال .. من ناحية ال
+
+127
+00:12:22,620 --> 00:12:25,960
+efficiency إن لو أنا بدي أعملها .. بدي أعملها ب
+
+128
+00:12:25,960 --> 00:12:31,860
+adjacency matrix Okay أول شي في عندي ال loop
+
+129
+00:12:31,860 --> 00:12:38,400
+الأساسية بتمشي أدت V من المرات Okay بتدخل كل واحدة
+
+130
+00:12:38,400 --> 00:12:41,320
+من المرات حاجة
+
+131
+00:12:47,630 --> 00:12:52,130
+أفحص الفحص هذا find و بعدها كده أعمل ال update
+
+132
+00:12:52,130 --> 00:12:56,250
+الفحص و ال update هذا معناته أن أنا بدي ألف على كل
+
+133
+00:12:56,250 --> 00:13:01,330
+ال notes الأخرى الفحص هذا بيتطلبش كل ال notes
+
+134
+00:13:01,330 --> 00:13:05,330
+الأخرى لأنه مش كلها هتبقى ضايلة لكن ال update
+
+135
+00:13:05,330 --> 00:13:11,850
+بترتب عليه أن أناالجيس السيماتريكس بتقوللي ان هاي
+
+136
+00:13:11,850 --> 00:13:19,700
+ال a و هاي ال notes التانينفلازم ألف .. ألف وين في
+
+137
+00:13:19,700 --> 00:13:23,620
+الـ A بينها وبين أي نوت هذه Edge لازم أروح أعمل
+
+138
+00:13:23,620 --> 00:13:28,320
+update إذا استلزم الأمر أفحص ال value اللي هناك و
+
+139
+00:13:28,320 --> 00:13:31,360
+أشوف ال value هذا لازال هو ال minimum و اللي فيها
+
+140
+00:13:31,360 --> 00:13:35,260
+دي minimum أفضل منه و .. و هذه اللفة عملية ال
+
+141
+00:13:35,260 --> 00:13:38,040
+update بدأت تلف عليهم كلهم لإن أنا مش عارف ال ..
+
+142
+00:13:38,040 --> 00:13:42,260
+ال notes اللي مجارة لـ A ربما هذه و ربما هذهوبقى
+
+143
+00:13:42,260 --> 00:13:44,200
+واحد منهم في الأول و واحد منهم في الأخر و واحد
+
+144
+00:13:44,200 --> 00:13:47,320
+منهم في النصف فلازم ألف عليهم كلهم فهذا اللي
+
+145
+00:13:47,320 --> 00:13:53,780
+بيتطلب V2 انه انا في كل سطر لازم ألف على كل واحد
+
+146
+00:13:53,780 --> 00:14:00,140
+في السطر okay يبجي هذا اللي بيسبب انه ال
+
+147
+00:14:00,140 --> 00:14:06,220
+complexity تبجي big theta of V2 او
+
+148
+00:14:09,100 --> 00:14:13,860
+عادة العناصر الـ V يعني إيه؟ Square، هذا لو JSON
+
+149
+00:14:13,860 --> 00:14:15,380
+Semantics صحيح
+
+150
+00:14:19,590 --> 00:14:23,870
+ما هي لأ .. ايش المشكلة؟ صح هو منطقي انهم مابحتاجش
+
+151
+00:14:23,870 --> 00:14:27,630
+امورالهم كلهم بس لإن هم مخزنين الأناصر في ال
+
+152
+00:14:27,630 --> 00:14:31,890
+adjacency matrix يعني زي ما وضعتك انت و الآن هل
+
+153
+00:14:31,890 --> 00:14:36,930
+الأنصر انا الآن ال D و ال E انا بدي .. عشان أول شي
+
+154
+00:14:36,930 --> 00:14:40,670
+أعمل update لازم أشوف إذا كان هو أصلا مجاور ولا مش
+
+155
+00:14:40,670 --> 00:14:42,690
+مجاور تبدي أعرف إنه مجاور ولا مجاور من ال
+
+156
+00:14:42,690 --> 00:14:47,260
+adjacency listلازم ألف عليهم أشوف هل في link و لا
+
+157
+00:14:47,260 --> 00:14:50,380
+في edge و لا مفيش edge صح؟ يبقى لازم ألف عليهم
+
+158
+00:14:50,380 --> 00:14:54,540
+كلهم ما بقدر أعرف إن هذا الانصار أصلا مجاري و لا
+
+159
+00:14:54,540 --> 00:14:57,420
+مش مجاري عشان أقرر هل هو محتاج update و لا مش
+
+160
+00:14:57,420 --> 00:15:01,980
+محتاج update لسه إلا لما أخش sequentially ..
+
+161
+00:15:01,980 --> 00:15:06,020
+sequentially في ال .. ال GSS في السطر كله من هذا
+
+162
+00:15:06,020 --> 00:15:15,630
+البابطيب لو مش adjacency matrix يبقى في عندي عامل
+
+163
+00:15:15,630 --> 00:15:19,750
+هدول احطتهم في priority
+
+164
+00:15:19,750 --> 00:15:25,750
+queue و المسألة صارت انه انا باخد دايما ال minimum
+
+165
+00:15:25,750 --> 00:15:32,710
+يما بيجي اضيفو أخد واحد من هنا و أضعه هنا هو أصلا
+
+166
+00:15:32,710 --> 00:15:35,610
+لأن ال priority queue هيبقى ال minimum موجود
+
+167
+00:15:35,610 --> 00:15:40,490
+already على ال top على رأس الطابور فباخده و الآن
+
+168
+00:15:40,490 --> 00:15:45,850
+بدي أعمل update ال update هذا updating ال priority
+
+169
+00:15:45,850 --> 00:15:51,070
+queue ما بياخدش cost sequential بياخد log ال log
+
+170
+00:15:51,070 --> 00:15:56,130
+ال إش log ال inلغ ال in لأن ال in بتتناقص شوي شوي
+
+171
+00:15:56,130 --> 00:16:01,370
+صح فأصلحت الاية عن العملية انه صح هاجف في ال loop
+
+172
+00:16:01,370 --> 00:16:05,870
+في الايه في ال algorithm هارف في ال loop هذه عدد v
+
+173
+00:16:05,870 --> 00:16:12,790
+من المرات لكن جوا في ال update هامل لغ ايش ال v ال
+
+174
+00:16:12,790 --> 00:16:19,810
+update سيبقى في عندي v ضرب ال vertices هذه كلها
+
+175
+00:16:19,810 --> 00:16:30,290
+ضرب لغ ال vلغ ال V اللي هي عملية ال update هذا
+
+176
+00:16:30,290 --> 00:16:39,210
+big theta هذا big O worst case لغ ال V هذا
+
+177
+00:16:39,210 --> 00:16:44,490
+constant case او average case لغ ال V لما نمشي في
+
+178
+00:16:44,490 --> 00:16:49,610
+هندي ضرب زيك لازم اخد ال big O big O ياش V لغ ال V
+
+179
+00:16:49,610 --> 00:16:50,170
+صح؟
+
+180
+00:16:53,660 --> 00:16:59,160
+لكن لسبب ان ال vertices في ال graph لو انا ببص على
+
+181
+00:16:59,160 --> 00:17:01,260
+العلاقة ما بين ال vertices و ال edges
+
+182
+00:17:04,380 --> 00:17:07,540
+طلع عندك هنا ال graph هاي graph هاي vertices جداش
+
+183
+00:17:07,540 --> 00:17:10,920
+أربعة و edges واحد اتنين تلاتة أربعة صح؟ ممكن
+
+184
+00:17:10,920 --> 00:17:14,400
+يكونوا خمسة ممكن يكونوا ستة ستة صح؟ عدد ال
+
+185
+00:17:14,400 --> 00:17:20,760
+vertices ده تبقى أقل من عدد ال edges فهو على أساس
+
+186
+00:17:20,760 --> 00:17:27,480
+عدد ال edges لأن ال V هذه ممكن تبقى أقل من عدد ال
+
+187
+00:17:27,480 --> 00:17:27,940
+vertices
+
+188
+00:17:33,310 --> 00:17:37,610
+لأن عدد الـ vertices دايما أقل من أو تساوي عدد ال
+
+189
+00:17:37,610 --> 00:17:45,770
+edges فهو ناخدها على أساس انها big O of E لجل V
+
+190
+00:17:45,770 --> 00:17:50,590
+يعني بس استبدل هذه بال E لأن هذه ممكن تبقى أقل لسه
+
+191
+00:17:50,590 --> 00:17:52,410
+من ال edges
+
+192
+00:17:58,340 --> 00:18:03,180
+طيب هذا الان section تسعة واحد تسعة اتنين اللي هو
+
+193
+00:18:03,180 --> 00:18:06,440
+ال algorithm التاني لنفس المثال يعالج نفس المثال و
+
+194
+00:18:06,440 --> 00:18:12,380
+بنفس الأسلوب اللي هو ايش اللي هو ال greedy okay من
+
+195
+00:18:12,380 --> 00:18:16,160
+تسعة واحد بدنا انحل واحد و اتنين و دول المسائل
+
+196
+00:18:16,160 --> 00:18:22,180
+exercise للامتحان واحد الى خمسة زي التسعة يعني من
+
+197
+00:18:22,180 --> 00:18:26,880
+واحد الى تلاتاشر ما عدا ستة و سبعة و تمانية صحيح
+
+198
+00:18:30,490 --> 00:18:36,510
+واحد و اتنين نسلمهم المحاضرة الجاية okay خلينا
+
+199
+00:18:36,510 --> 00:18:43,090
+عشان الوجد نكمل في تسعة اتنين تسعة اتنين عادة خلاص
+
+200
+00:18:43,090 --> 00:18:49,410
+ماشي الحال okay من تسعة اتنين بدنا نرجع ناخده بدنا
+
+201
+00:18:49,410 --> 00:18:53,410
+نرجعله نجيبه من الكتاب okay
+
+202
+00:19:08,580 --> 00:19:13,780
+Okay طيب مثلا هذه greedy و نفس المثال طيب إيش
+
+203
+00:19:13,780 --> 00:19:18,300
+الفرق ما بينها و ما بين الأولى ال Prims algorithm؟
+
+204
+00:19:18,300 --> 00:19:19,160
+أنا عارف؟
+
+205
+00:19:23,510 --> 00:19:28,970
+لأ هي فكرتها بسيطة بس .. يعني فكرتها مختلفة شوية
+
+206
+00:19:28,970 --> 00:19:33,590
+ولكن تتبع نفس ال أسلوب اللي هو التدرج التدريجي
+
+207
+00:19:33,590 --> 00:19:38,750
+يعني انه احنا بنتوسع ال .. ال .. بنتوسع في ال tree
+
+208
+00:19:38,750 --> 00:19:43,850
+تدريجيا ب .. بكميات أقل يعني ال .. ال Prim's
+
+209
+00:19:43,850 --> 00:19:47,830
+Algorithm احنا ايش قلنا greedy معناه تطمع ممكن على
+
+210
+00:19:47,830 --> 00:19:51,130
+عكس هي هنا مش طمع هي .. هي ماشي على أساس عكس الطمع
+
+211
+00:19:51,130 --> 00:19:57,210
+يعني هي لما بتتوسعمن كانت ايه؟ اه بتاخدوا الأقل مش
+
+212
+00:19:57,210 --> 00:20:03,170
+بتاخدوا ال .. فهي يعني قضية ال grade لما تكون
+
+213
+00:20:03,170 --> 00:20:07,150
+maximization problem هنا minimization لإن احنا
+
+214
+00:20:07,150 --> 00:20:14,990
+بدنا بدنا ال minimum spanning tree فال algorithm
+
+215
+00:20:14,990 --> 00:20:22,660
+بتتوسع في اتجاه ال edge اللي أقصريعني احنا عاوزين
+
+216
+00:20:22,660 --> 00:20:26,280
+نتوسع بس مش عاوزين نتوسع كتير بعيد فبنروح بنشوف
+
+217
+00:20:26,280 --> 00:20:33,240
+ايش اقرب node و بنتوسع عليها الطماع بيروح
+
+218
+00:20:33,240 --> 00:20:38,680
+بببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببببب
+
+219
+00:20:50,180 --> 00:20:55,840
+طيب هنا برضه كمان بتتوسع تدريجي على أساس الأقل ال
+
+220
+00:20:55,840 --> 00:20:59,440
+cross call اللي بتعمل ال cross call ان هي نفس ال
+
+221
+00:20:59,440 --> 00:21:03,940
+problem نفس ال graph نفس ال graph هو البناتها
+
+222
+00:21:03,940 --> 00:21:08,420
+خلينا نكبر الصورة شوية
+
+223
+00:21:08,420 --> 00:21:11,460
+بس
+
+224
+00:21:11,460 --> 00:21:15,420
+ايش اللي بتعمله انها بتاخد ال edges بتطلع على ال
+
+225
+00:21:15,420 --> 00:21:21,620
+edges مش على ال vertices و بترتبهم تصاديOkay؟ هذا
+
+226
+00:21:21,620 --> 00:21:27,640
+بي سي وين أصغر إتش؟ هي هذه، صح؟ أقصر إتش، أقصر
+
+227
+00:21:27,640 --> 00:21:32,570
+إتش، بعديها هذهبعدها التلاتة، بعدها الأربعة
+
+228
+00:21:32,570 --> 00:21:35,630
+والاربعة، بعدها الخمسة والخمسة، الستة والستة،
+
+229
+00:21:35,630 --> 00:21:38,330
+وبعدها التمانية، يتم رتبين واحد، اتنين، تلاتة،
+
+230
+00:21:38,330 --> 00:21:41,270
+أربعة، أربعة، خمسة، خمسة، ستة، تمانية، مظبوط؟ هذول
+
+231
+00:21:41,270 --> 00:21:46,930
+ال edges خلاص، تبدأ تاخدهم واحدة واحدة، بس بشرط،
+
+232
+00:21:46,930 --> 00:21:50,050
+شرط أساسي، وهو أنه احنا قلنا ال spanning tree هذه
+
+233
+00:21:50,050 --> 00:21:54,270
+لازم تبقى acyclic، مايبقاش فيها cycles، فإذا أنا
+
+234
+00:21:54,270 --> 00:22:02,970
+بدأ أجيب edgeو تعملي cycle يبقى برفضها فالان خلّي
+
+235
+00:22:02,970 --> 00:22:09,150
+بالك ان هاي ال edge الأولى اللي هي أقصى واحدة اللي
+
+236
+00:22:09,150 --> 00:22:14,010
+هي BC بين بعضها ال EF و اين ال EF في أخر الدنيا
+
+237
+00:22:14,010 --> 00:22:19,770
+مافيش فيها اي connection وهذا is okay لأنه تدريجيا
+
+238
+00:22:19,770 --> 00:22:27,030
+هتترابط ال edges مع بعضهايعني الان ال BC و بعدين
+
+239
+00:22:27,030 --> 00:22:31,630
+ال EF هى صار عندى ال two edges هنا صح مفرجين كمان
+
+240
+00:22:31,630 --> 00:22:36,250
+شوية هتيجى واحدة edge اخرى اخرى اما هذه او هذه و
+
+241
+00:22:36,250 --> 00:22:40,790
+يصيروا متلابطين مع بعض المهم مش مهم التفكك او انه
+
+242
+00:22:40,790 --> 00:22:45,750
+يبقى disconnectedالتري مرحليا طبعا هي في الآخر
+
+243
+00:22:45,750 --> 00:22:49,270
+eventually هتبقى connected totally connected بس
+
+244
+00:22:49,270 --> 00:22:52,970
+مرحلية ممكن هذا مش مهم يبقى disconnected المهم
+
+245
+00:22:52,970 --> 00:22:56,510
+مايبقاش مايبقاش فيه cycles فأي لحظة من اللحظات
+
+246
+00:22:56,510 --> 00:23:00,790
+يطلع عندي cycle لأنه بدي أبني أعمل tree صغيرة
+
+247
+00:23:00,790 --> 00:23:06,790
+ويبقى فيها cycle و أكمل okay فالان الواحد بعدين
+
+248
+00:23:06,790 --> 00:23:11,050
+الاتنين التلاتة اللي هي ال a b هل لو انا اضفتها
+
+249
+00:23:11,050 --> 00:23:19,770
+بصي في cycleلأ فباخدها ال BF ال BF لو ضفتها بيصير
+
+250
+00:23:19,770 --> 00:23:27,630
+فيه cycle لأ باخدها ال CF طبعا حيصير فيه cycle و
+
+251
+00:23:27,630 --> 00:23:31,590
+هاد برضه لو أخدتها حيصير فيه cycle صح؟ فباخدهمش
+
+252
+00:23:31,590 --> 00:23:36,570
+مظبوط؟
+
+253
+00:23:36,570 --> 00:23:45,140
+يعني ال AF ال CF و ال AFالـ CF والـ AF مش هاخدهم
+
+254
+00:23:45,140 --> 00:23:53,360
+مين بتدور بعد هيك ال DF ال DF بتعملش Cycle باخدها
+
+255
+00:23:53,360 --> 00:24:01,200
+بعدين ال AE ال AE بتعمل بتعمللي Cycle هنا باخدهاش
+
+256
+00:24:01,200 --> 00:24:06,480
+باخدهاش ال
+
+257
+00:24:06,480 --> 00:24:15,190
+CD ال C بعد ال D بتعمل Cycleتعمل cycle وين؟ هناك
+
+258
+00:24:15,190 --> 00:24:22,690
+باخد هاش ال DE تعملش cycle صح؟ تعمل اه هي المثالث
+
+259
+00:24:22,690 --> 00:24:28,190
+هذا خلاص باخد هاش ابقى مين اللي أخدتهم بس خلاص هي
+
+260
+00:24:28,190 --> 00:24:33,730
+ده ال tree هدول اللي أخدتهم هم ال tree okay وهو
+
+261
+00:24:33,730 --> 00:24:37,510
+نفس ال solution اللي طلع معانا في ال Prim's
+
+262
+00:24:37,510 --> 00:24:41,550
+algorithm ال tree في الآخر بتتكون من ال A متصل
+
+263
+00:24:41,550 --> 00:24:48,470
+إبها ال Bمتصلة على ناحية الـ F وعلى ناحية الـ C
+
+264
+00:24:48,470 --> 00:24:54,150
+الـ F متصلة على ناحية الـ D وعلى ناحية الـ E هذه
+
+265
+00:24:54,150 --> 00:24:57,430
+الـ Tree هي نفسها لو أردت أرسم طبقة الـ Primes هي
+
+266
+00:24:57,430 --> 00:24:58,190
+نفسها
+
+267
+00:25:04,340 --> 00:25:07,400
+وخلّي بالك لو برضه في ال Prim's algorithm احنا في
+
+268
+00:25:07,400 --> 00:25:12,100
+ال Prim's algorithm أخدنا ال A ك initial note
+
+269
+00:25:12,100 --> 00:25:15,460
+وقلنا إن ال initial note ممكن تكون عشوائية لو أخدت
+
+270
+00:25:15,460 --> 00:25:19,040
+ال F و لو أخدت ال D و لو أخدت ال E و بدأتي تمشي
+
+271
+00:25:19,040 --> 00:25:22,100
+Prim's algorithm و كوّنتي ال edges في الآخر برضه
+
+272
+00:25:22,100 --> 00:25:28,180
+هيطلع معاكي نفس letter هي احتمال يطلع مش نفسها بس
+
+273
+00:25:28,180 --> 00:25:34,000
+هتطلع ال cost هي هي صح ولا لأ؟يعني مثلا هاي هذا
+
+274
+00:25:34,000 --> 00:25:44,680
+الخيار هنا A,B,C ال F اتفرقت من ال B صح؟ لو احنا
+
+275
+00:25:44,680 --> 00:25:47,840
+خلّيناها تتفرّع من ال C يعني لو عملنا هيك
+
+276
+00:26:02,940 --> 00:26:06,400
+هذه برضه another spanning tree صح؟ هنا ال course
+
+277
+00:26:06,400 --> 00:26:17,660
+جداش؟ هي واحد و .. واحد و جداش؟ بي اف و بي سي بي
+
+278
+00:26:17,660 --> 00:26:25,180
+سي هي الواحد هذه تلاتة صح؟ ال F دي جداش؟ خمسة و ال
+
+279
+00:26:25,180 --> 00:26:34,980
+E F جداش؟ اتنين جداش ال total كله؟هي 8,10,15 هنا
+
+280
+00:26:34,980 --> 00:26:38,140
+ال A,B .. انا .. انا طلع كيف .. ايش الاختلاف بين
+
+281
+00:26:38,140 --> 00:26:42,280
+هذه و هذه؟ انه انا بدل ما اخد ال link هذه اخدت ..
+
+282
+00:26:42,280 --> 00:26:47,420
+بدل ما اخد هذه اخدت هذه اللي هي نفس ال course صح؟
+
+283
+00:26:47,420 --> 00:26:54,070
+okay بدل ما اخد هذه اخدت هذهفهي ال A,B ثلاثة ال B
+
+284
+00:26:54,070 --> 00:26:59,950
+,C واحد ال C,F الآن بدل ال H بدل ال B,F أخدت ال C
+
+285
+00:26:59,950 --> 00:27:04,070
+,F هاي أربعة هدولة زي ما هما خمسة و اتنين نفس
+
+286
+00:27:04,070 --> 00:27:09,450
+الاشي خمس عشر هي التمانية وهي الأتنين وهي الخمسة
+
+287
+00:27:14,840 --> 00:27:17,340
+باختصار ما انا بقوله انه الاختلاف بين ال two
+
+288
+00:27:17,340 --> 00:27:21,800
+algorithms الان بين ال Prims والكروسكل اللي هي انه
+
+289
+00:27:21,800 --> 00:27:27,020
+هادي بتاخد ال edges بترتبهم و بتمشي عليهم على أساس
+
+290
+00:27:27,020 --> 00:27:31,380
+بس بتاخدهم يعني بتضم ال edges بشرط انه مايكوش في
+
+291
+00:27:31,380 --> 00:27:35,560
+cycle هتطلع لها ال minimum tree هتكون هي نفس ال
+
+292
+00:27:35,560 --> 00:27:39,900
+minimum tree طلعت ليها ال Prims algorithmOkay إذا
+
+293
+00:27:39,900 --> 00:27:45,160
+مش هي هتكون نفس ال cost هتكون نفس ال minimum cost
+
+294
+00:27:45,160 --> 00:27:48,840
+طيب
+
+295
+00:27:48,840 --> 00:27:51,980
+الآن هنا في نقطة صغيرة بس هى لما نطلع على ال
+
+296
+00:27:51,980 --> 00:27:56,520
+algorithm اللى هى ال cross calls algorithm فوق
+
+297
+00:27:56,520 --> 00:28:03,640
+صارت Okay
+
+298
+00:28:03,640 --> 00:28:09,060
+هى هى انه ببساطة احنا طبعابتبقى الـ ET يعني اللي
+
+299
+00:28:09,060 --> 00:28:13,580
+هي إيش ال edges تبعت ليه tree مش احنا بنرتبهم و
+
+300
+00:28:13,580 --> 00:28:22,340
+ناخدهم و نحطهم في ال ET تبقى فاضية ال
+
+301
+00:28:22,340 --> 00:28:30,220
+edge counter ببدأ من من 0 إلى vertices
+
+302
+00:28:30,220 --> 00:28:33,440
+ناقص واحد لإن في كل
+
+303
+00:28:36,190 --> 00:28:43,170
+فى كل edge بنفحص هذا ال edge ايش
+
+304
+00:28:43,170 --> 00:28:52,310
+هذا ال edge انا واقف على node
+
+305
+00:28:52,310 --> 00:29:00,790
+و بتطلع على كل
+
+306
+00:29:00,790 --> 00:29:05,570
+edge اذا انا بدى اضيف هذا ال edgeهل لما أضيفها
+
+307
+00:29:05,570 --> 00:29:09,430
+هيبقى في cycle ولا لا؟ فال edge هذه اللي أنا راجف
+
+308
+00:29:09,430 --> 00:29:15,190
+عليها لو عملت union مع ال current edges اللي
+
+309
+00:29:15,190 --> 00:29:23,110
+already في ال tree هل هيطلع في cycle ولا لا؟ if
+
+310
+00:29:23,110 --> 00:29:27,090
+it's acyclic يعني مافيش cycles بروح ايش بسوي
+
+311
+00:29:27,090 --> 00:29:33,780
+بضيفها و بعمل update لل ATلأن هذا الـ check هذا
+
+312
+00:29:33,780 --> 00:29:39,080
+لحاله بده function أو algorithm فرعية ال algorithm
+
+313
+00:29:39,080 --> 00:29:42,060
+هذه أو ال function هذه بدها تاخد ال edge الجديدة
+
+314
+00:29:42,060 --> 00:29:46,920
+وتاخد ال edges اللي already موجودة في ET وتشوف هل
+
+315
+00:29:46,920 --> 00:29:54,840
+دخول هذه ال edge على الموجودين بيطلقلي .. بيطلقلي
+
+316
+00:29:54,840 --> 00:29:59,830
+tree فيها cycles ولا لا؟الان احنا عارفين ان
+
+317
+00:29:59,830 --> 00:30:04,950
+الموجودين هنا في ET ممكن مايكونوش هم كلهم مترابطين
+
+318
+00:30:04,950 --> 00:30:10,590
+مع بعض شكل واحد يعني زي مين زي اتاو لما بدينا هاي
+
+319
+00:30:10,590 --> 00:30:20,710
+two edges هدى و هدى مش مترابطين صح؟ فال edges اللي
+
+320
+00:30:20,710 --> 00:30:25,110
+في ال ET مش ضرور يكونوا بشكل threeبغض النظر
+
+321
+00:30:25,110 --> 00:30:27,650
+بيشكلوا tree ولا لأ ان شاء الله بيشكلوا خمساشر
+
+322
+00:30:27,650 --> 00:30:31,430
+tree انا جايب إتش جديدة عليهم هل ال إتش الجديدة
+
+323
+00:30:31,430 --> 00:30:36,090
+هتعمل إذا هم خمساشر subtree هتعمل cycle مع أي واحد
+
+324
+00:30:36,090 --> 00:30:42,490
+منهم إذا بتعمل cycle بتديه شيها okay فبغض النظر عن
+
+325
+00:30:42,490 --> 00:30:46,110
+اللي بنقولها ال ET هذه اللي بداخلها هم ال tree
+
+326
+00:30:46,110 --> 00:30:50,230
+بيشكلوا connected ال tree واحدة او مش connected
+
+327
+00:30:51,540 --> 00:30:55,460
+السؤال هو الجديد اللي هتيجي تدخل عليهم هتعمل cycle
+
+328
+00:30:55,460 --> 00:30:59,680
+ولا .. مش هتعمل وهذا الشغل اللي هو ال algorithm
+
+329
+00:30:59,680 --> 00:31:02,620
+هذه ال algorithm الأعلى لما احنا نيجي نطلع على ال
+
+330
+00:31:02,620 --> 00:31:07,980
+complexity معلش فوق ال .. okay ال complexity تبع
+
+331
+00:31:07,980 --> 00:31:12,100
+ال cross case algorithm ككل بدتكون عبارة عن ال
+
+332
+00:31:12,100 --> 00:31:15,940
+while loop هذه أجريش عدد مراتها بعدد ال vertices
+
+333
+00:31:15,940 --> 00:31:20,300
+صح؟ في كل مرة بده إيش؟
+
+334
+00:31:29,950 --> 00:31:36,030
+هو صح بدأ تلف بعدد ال vertices بس هتمر على edges
+
+335
+00:31:36,030 --> 00:31:41,550
+لإنه في كل vertex يعني أهنا طلع كيف لما كنا ..
+
+336
+00:31:41,550 --> 00:31:53,310
+وين؟ تحت؟ هذه المشكلة في حياتهم الان هذه
+
+337
+00:31:53,310 --> 00:31:55,290
+ال vertices
+
+338
+00:31:59,230 --> 00:32:02,550
+أنا في كل vertex فيها اني مجموع من ال edges على ال
+
+339
+00:32:02,550 --> 00:32:07,490
+other vertices صح؟ يعني انا صح هلف على ال vertices
+
+340
+00:32:07,490 --> 00:32:11,630
+كل واحدة بس هشوف ال edges المتصلبها okay يبقى في
+
+341
+00:32:11,630 --> 00:32:16,810
+المجمل انا عدد المراع عدد عملية الصحص اللي بتتم
+
+342
+00:32:16,810 --> 00:32:20,570
+بتتم بعدد عملية بعدد ال edges مش بعدد ال vertices
+
+343
+00:32:20,570 --> 00:32:27,530
+مظبوط؟ يعني صح ال loop صح ال loop بت .. بتلف على
+
+344
+00:32:29,180 --> 00:32:33,820
+بتلف على ال vertices لكن هتعمل العملية هذه لتشك
+
+345
+00:32:33,820 --> 00:32:42,480
+هذا أكتر مرة بعدد ال edges لأن كل vertex ممكن يكون
+
+346
+00:32:42,480 --> 00:32:48,660
+يطلع منها واحد او اكتر من واحد من ال edges يبقى ال
+
+347
+00:32:48,660 --> 00:32:54,520
+complexity هي عدد ال edges ضرب جديش بده تاخد هذه
+
+348
+00:32:54,520 --> 00:32:59,540
+عملية الفحص هذه جديش بده تاخد timeالـ Time هذا
+
+349
+00:32:59,540 --> 00:33:03,720
+أفضل .. هو حاطط هنا في الكتاب اللي هو الـ
+
+350
+00:33:03,720 --> 00:33:07,460
+Algorithmات المختلفة اللي ممكن تستخدم .. حاطط
+
+351
+00:33:07,460 --> 00:33:11,280
+واحدة أو تنتين منها اللي هي Disjoint Subsets and
+
+352
+00:33:11,280 --> 00:33:13,820
+Union Find Algorithms الـ Union Find Algorithms
+
+353
+00:33:13,820 --> 00:33:17,060
+هذه اللي هي الـ Algorithm اللي بتاخد ال Edge و
+
+354
+00:33:17,060 --> 00:33:21,060
+بتاخد ال ET و تشوف إذا كان بتعمل Cycle ولا لأ فهذه
+
+355
+00:33:21,060 --> 00:33:26,600
+بتاخد بال worst case بتاخد Log
+
+356
+00:33:35,600 --> 00:33:44,380
+لوج عدد ال edges هذا الكلام بيضارب في ال E ال Y
+
+357
+00:33:44,380 --> 00:33:49,200
+Loop فبتطلع
+
+358
+00:33:49,200 --> 00:34:02,460
+في نهاية ال E ضارب لوج E طبعا ال E يعني انا اقصد
+
+359
+00:34:02,460 --> 00:34:08,850
+فيها عدد علاصر ال Eالـ E هذه البرانية جاي من الـ
+
+360
+00:34:08,850 --> 00:34:16,770
+while loop والجوهر ده جاي من الخوارزمية الفحص طيب
+
+361
+00:34:16,770 --> 00:34:20,010
+خلاص احنا المحاضرة الجاية ان شاء الله هيك بنكون
+
+362
+00:34:20,010 --> 00:34:25,090
+جريفنا عند نهاية ال section تسعة اتنين تسعة اتنين
+
+363
+00:34:25,090 --> 00:34:29,510
+المحاضرة الجاية بحددلكوا ايش ال problems تبعته
+
+364
+00:34:29,510 --> 00:34:31,530
+وبنبدأ في تسعة اتنين
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..fca621300851bd0a0d03d960945fa8f5242755dc
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/972OER9rChU_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4586, "start": 20.84, "end": 45.86, "text": "بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف المصريين اليوم ان شاء الله بنكمل ال prims algorithm من مطر ما وقفنا المحاضرة الماضية و بعدها بنكمل نشوف ال cross calls algorithm اللي يتعالج نفس ال problem ال prims algorithm وقفنا المحاضرة الماضية بعد ما شوفنا كيف بتشتغل وقفنا عند ال efficiency خلينا على السريع نرجع تاني و نراجع كيف هي بتشتغل", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 25894, 5551, 8592, 28480, 9673, 9381, 16572, 9957, 45595, 20498, 16472, 13412, 16606, 21984, 44945, 24793, 1211, 2423, 2886, 82, 9284, 9154, 3714, 9566, 2288, 19446, 4032, 4587, 5172, 8315, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 4032, 39182, 11296, 44945, 24793, 1211, 8717, 8592, 38688, 2423, 3278, 5498, 9284, 13672, 1829, 7251, 2655, 3615, 6027, 7435, 8717, 36178, 2423, 1154, 2423, 2886, 82, 9284, 4032, 4587, 5172, 8315, 9673, 5016, 46958, 25720, 9673, 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هذا ال loop احنا حكينا فيه في محاضرة ماضية okay بنلف على كل ال notes واحدة واحدة بناخدهم بعد كده بنشوف بنبحث على ال minimum هنا مابين مين؟ مابين الجماعة اللي already صاروا في ال tree و مابين أي حد من جيرانهم صح؟ يعني احنا لما بدأنا بالاصل كنا جولنا ال A و ال B", "tokens": [8297, 6156, 3224, 8315, 23758, 2423, 6367, 1975, 5016, 8315, 11331, 4117, 1829, 8315, 8978, 3224, 8978, 3714, 5016, 46958, 25720, 3714, 46958, 10632, 1392, 44945, 46538, 15844, 28242, 2423, 5570, 36764, 24401, 3660, 36764, 24401, 3660, 44945, 47283, 3215, 16095, 39182, 9122, 3215, 3224, 44945, 8592, 38688, 44945, 49628, 12984, 15844, 2423, 7285, 34105, 3714, 16758, 9957, 3714, 9957, 22807, 3714, 16758, 9957, 25724, 15042, 27884, 13672, 1829, 1217, 20328, 9640, 14407, 8978, 2423, 4230, 4032, 3714, 16758, 9957, 36632, 11331, 3215, 9154, 10874, 13546, 7649, 16095, 20328, 5016, 22807, 37495, 22653, 1975, 5016, 8315, 5296, 15042, 47525, 10721, 8315, 20666, 33546, 1211, 9122, 8315, 10874, 12610, 8315, 2423, 316, 4032, 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edge نرجع تاني ال algorithm احنا بنبحث عن E star هي ال edge الأقل تكلفة ما بين vertices الناحية هذه جاية من", "tokens": [6027, 7649, 2423, 39184, 316, 4032, 2423, 39184, 363, 2423, 39184, 363, 39896, 10874, 13546, 7649, 11296, 16070, 39184, 316, 39896, 10874, 13546, 7649, 11296, 6156, 3224, 1829, 16712, 1211, 9307, 3660, 8032, 3215, 12610, 8032, 2304, 9673, 1211, 8592, 5016, 9957, 8717, 8592, 38688, 2423, 8819, 13672, 1829, 23032, 6027, 3615, 25894, 16095, 5551, 9381, 17082, 2288, 4691, 8717, 47341, 3615, 6055, 7649, 1829, 2423, 9284, 1975, 5016, 8315, 44945, 49628, 12984, 18871, 462, 3543, 39896, 2423, 4691, 16247, 4587, 1211, 6055, 28820, 5172, 3660, 19446, 49374, 32053, 2423, 8315, 5016, 10632, 29538, 10874, 995, 10632, 9154], "avg_logprob": -0.2198548000870329, "compression_ratio": 1.7251184834123223, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 640.49, "end": 641.07, "word": "الان", "probability": 0.612548828125}, {"start": 641.07, "end": 641.27, "word": " الـ", 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loop هذه عدد v من المرات لكن جوا في ال update هامل لغ ايش ال v ال update سيبقى في عندي v ضرب ال vertices هذه كلها ضرب لغ ال v", "tokens": [1211, 17082, 2423, 294, 5296, 33456, 2423, 294, 39894, 2655, 8315, 4587, 9381, 13412, 45865, 13412, 45865, 20328, 5016, 6156, 10721, 36520, 33753, 42963, 10632, 18871, 18863, 42213, 10632, 16472, 3224, 20328, 5016, 8032, 26108, 5172, 8978, 2423, 6367, 8978, 42963, 1829, 3224, 8978, 2423, 9284, 8032, 9640, 5172, 8978, 2423, 6367, 29538, 6225, 3215, 3215, 371, 9154, 9673, 2288, 9307, 44381, 10874, 14407, 8978, 2423, 5623, 8032, 10943, 1211, 5296, 17082, 1975, 1829, 8592, 2423, 371, 2423, 5623, 8608, 1829, 3555, 4587, 7578, 8978, 18871, 16254, 371, 48812, 25513, 2423, 32053, 29538, 28242, 11296, 48812, 25513, 5296, 17082, 2423, 371], "avg_logprob": -0.2958027065968981, "compression_ratio": 1.8349056603773586, "no_speech_prob": 0.0, "words": [{"start": 953.13, "end": 953.55, "word": "لغ", "probability": 0.4481201171875}, {"start": 953.55, "end": 953.71, 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بيطلقلي", "probability": 0.94482421875}, {"start": 1794.84, "end": 1796.1, "word": " tree", "probability": 0.460205078125}, {"start": 1796.1, "end": 1796.44, "word": " فيها", "probability": 0.96044921875}, {"start": 1796.44, "end": 1796.92, "word": " cycles", "probability": 0.8291015625}, {"start": 1796.92, "end": 1797.14, "word": " ولا", "probability": 0.8896484375}, {"start": 1797.14, "end": 1797.54, "word": " لا؟", "probability": 0.732666015625}], "temperature": 1.0}, {"id": 70, "seek": 182341, "start": 1798.05, "end": 1823.41, "text": "الان احنا عارفين ان الموجودين هنا في ET ممكن مايكونوش هم كلهم مترابطين مع بعض شكل واحد يعني زي مين زي اتاو لما بدينا هاي two edges هدى و هدى مش مترابطين صح؟ فال edges اللي في ال ET مش ضرور يكونوا بشكل three", "tokens": [6027, 7649, 1975, 5016, 8315, 6225, 9640, 5172, 9957, 16472, 9673, 29245, 23328, 9957, 34105, 8978, 36953, 3714, 43020, 19446, 1829, 30544, 2407, 8592, 8032, 2304, 28242, 16095, 44650, 2288, 16758, 9566, 9957, 20449, 45030, 11242, 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2043.92, "text": "لوج عدد ال edges هذا الكلام بيضارب في ال E ال Y Loop فبتطلع في نهاية ال E ضارب لوج E طبعا ال E يعني انا اقصد فيها عدد علاصر ال E", "tokens": [1211, 29245, 6225, 3215, 3215, 2423, 8819, 23758, 2423, 28820, 10943, 4724, 1829, 11242, 9640, 3555, 8978, 2423, 462, 2423, 398, 45660, 6156, 3555, 2655, 9566, 1211, 3615, 8978, 8717, 11296, 10632, 2423, 462, 48812, 9640, 3555, 5296, 29245, 462, 23032, 3555, 3615, 995, 2423, 462, 37495, 22653, 1975, 8315, 1975, 4587, 9381, 3215, 8978, 11296, 6225, 3215, 3215, 11203, 33546, 2288, 2423, 462], "avg_logprob": -0.45264423076923077, "compression_ratio": 1.5441176470588236, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2015.6, "end": 2015.98, "word": "لوج", "probability": 0.31182861328125}, {"start": 2015.98, "end": 2016.3, "word": " عدد", "probability": 0.9402669270833334}, {"start": 2016.3, "end": 2016.44, "word": " ال", "probability": 0.91357421875}, {"start": 2016.44, "end": 2016.76, "word": " edges", "probability": 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{"start": 2031.48, "end": 2033.9, "word": " ال", "probability": 0.458251953125}, {"start": 2033.9, "end": 2036.02, "word": " E", "probability": 0.364990234375}, {"start": 2036.02, "end": 2038.5, "word": " ضارب", "probability": 0.6743977864583334}, {"start": 2038.5, "end": 2038.8, "word": " لوج", "probability": 0.493408203125}, {"start": 2038.8, "end": 2039.1, "word": " E", "probability": 0.8076171875}, {"start": 2039.1, "end": 2041.3, "word": " طبعا", "probability": 0.78863525390625}, {"start": 2041.3, "end": 2041.4, "word": " ال", "probability": 0.68115234375}, {"start": 2041.4, "end": 2041.58, "word": " E", "probability": 0.9794921875}, {"start": 2041.58, "end": 2041.88, "word": " يعني", "probability": 0.87548828125}, {"start": 2041.88, "end": 2042.12, "word": " انا", "probability": 0.68017578125}, {"start": 2042.12, "end": 2042.46, "word": " اقصد", "probability": 0.95068359375}, {"start": 2042.46, "end": 2042.78, "word": " فيها", "probability": 0.94873046875}, {"start": 2042.78, "end": 2043.18, "word": " عدد", "probability": 0.9830729166666666}, {"start": 2043.18, "end": 2043.68, "word": " علاصر", "probability": 0.7610677083333334}, {"start": 2043.68, "end": 2043.82, "word": " ال", "probability": 0.54052734375}, {"start": 2043.82, "end": 2043.92, "word": " E", "probability": 0.9892578125}], "temperature": 1.0}, {"id": 78, "seek": 207153, "start": 2046.75, "end": 2071.53, "text": "الـ E هذه البرانية جاي من الـ while loop والجوهر ده جاي من الخوارزمية الفحص طيب خلاص احنا المحاضرة الجاية ان شاء الله هيك بنكون جريفنا عند نهاية ال section تسعة اتنين تسعة اتنين المحاضرة الجاية بحددلكوا ايش ال problems تبعته وبنبدأ في تسعة اتنين", "tokens": [6027, 39184, 462, 29538, 2423, 26890, 7649, 10632, 10874, 47302, 9154, 2423, 39184, 1339, 6367, 16070, 7435, 2407, 3224, 2288, 11778, 3224, 10874, 47302, 9154, 33962, 2407, 9640, 11622, 2304, 10632, 27188, 5016, 9381, 23032, 1829, 3555, 16490, 1211, 33546, 1975, 5016, 8315, 9673, 5016, 46958, 25720, 25724, 995, 10632, 16472, 13412, 16606, 21984, 39896, 4117, 44945, 30544, 10874, 16572, 5172, 8315, 43242, 8717, 11296, 10632, 2423, 3541, 6055, 3794, 27884, 1975, 2655, 1863, 9957, 6055, 3794, 27884, 1975, 2655, 1863, 9957, 9673, 5016, 46958, 25720, 25724, 995, 10632, 4724, 24401, 3215, 23275, 14407, 1975, 1829, 8592, 2423, 2740, 6055, 3555, 34268, 3224, 4032, 3555, 1863, 44510, 10721, 8978, 6055, 3794, 27884, 1975, 2655, 1863, 9957], "avg_logprob": -0.2881944536143898, "compression_ratio": 1.8304347826086957, "no_speech_prob": 1.6093254089355469e-06, "words": [{"start": 2046.75, "end": 2047.33, "word": "الـ", "probability": 0.39117431640625}, {"start": 2047.33, "end": 2047.43, "word": " E", "probability": 0.343994140625}, {"start": 2047.43, "end": 2047.65, "word": " هذه", "probability": 0.59228515625}, {"start": 2047.65, "end": 2048.19, "word": " البرانية", "probability": 0.7813720703125}, {"start": 2048.19, "end": 2048.49, "word": " جاي", "probability": 0.769287109375}, {"start": 2048.49, "end": 2048.67, "word": " من", "probability": 0.783203125}, {"start": 2048.67, "end": 2048.85, "word": " الـ", "probability": 0.6346435546875}, {"start": 2048.85, "end": 2049.01, "word": " while", "probability": 0.2259521484375}, {"start": 2049.01, "end": 2049.37, "word": " loop", "probability": 0.97900390625}, {"start": 2049.37, "end": 2050.51, "word": " والجوهر", "probability": 0.470166015625}, {"start": 2050.51, "end": 2050.67, "word": " ده", "probability": 0.6622314453125}, {"start": 2050.67, "end": 2050.99, "word": " جاي", "probability": 0.9326171875}, {"start": 2050.99, "end": 2051.33, "word": " من", "probability": 0.9814453125}, {"start": 2051.33, "end": 2053.29, "word": " الخوارزمية", "probability": 0.822021484375}, {"start": 2053.29, "end": 2054.85, "word": " الفحص", "probability": 0.9064127604166666}, {"start": 2054.85, "end": 2056.77, "word": " طيب", "probability": 0.7494303385416666}, {"start": 2056.77, "end": 2057.71, "word": " خلاص", "probability": 0.8733723958333334}, {"start": 2057.71, "end": 2057.97, "word": " احنا", "probability": 0.84130859375}, {"start": 2057.97, "end": 2058.65, "word": " المحاضرة", "probability": 0.9815673828125}, {"start": 2058.65, "end": 2058.89, "word": " الجاية", "probability": 0.6171875}, {"start": 2058.89, "end": 2059.03, "word": " ان", "probability": 0.7373046875}, {"start": 2059.03, "end": 2059.15, "word": " شاء", "probability": 0.979736328125}, {"start": 2059.15, "end": 2059.31, "word": " الله", "probability": 0.96044921875}, {"start": 2059.31, "end": 2059.61, "word": " هيك", "probability": 0.874755859375}, {"start": 2059.61, "end": 2060.01, "word": " بنكون", "probability": 0.6546630859375}, {"start": 2060.01, "end": 2061.39, "word": " جريفنا", "probability": 0.630523681640625}, {"start": 2061.39, "end": 2061.61, "word": " عند", "probability": 0.94970703125}, {"start": 2061.61, "end": 2062.13, "word": " نهاية", "probability": 0.9734700520833334}, {"start": 2062.13, "end": 2062.39, "word": " ال", "probability": 0.6318359375}, {"start": 2062.39, "end": 2062.61, "word": " section", "probability": 0.66357421875}, {"start": 2062.61, "end": 2062.91, "word": " تسعة", "probability": 0.773193359375}, {"start": 2062.91, "end": 2063.37, "word": " اتنين", "probability": 0.926025390625}, {"start": 2063.37, "end": 2064.51, "word": " تسعة", "probability": 0.8795572916666666}, {"start": 2064.51, "end": 2065.09, "word": " اتنين", "probability": 0.982666015625}, {"start": 2065.09, "end": 2066.89, "word": " المحاضرة", "probability": 0.98828125}, {"start": 2066.89, "end": 2067.21, "word": " الجاية", "probability": 0.9150390625}, {"start": 2067.21, "end": 2068.21, "word": " بحددلكوا", "probability": 0.7416015625}, {"start": 2068.21, "end": 2068.37, "word": " ايش", "probability": 0.7565104166666666}, {"start": 2068.37, "end": 2068.49, "word": " ال", "probability": 0.96435546875}, {"start": 2068.49, "end": 2068.85, "word": " problems", "probability": 0.86279296875}, {"start": 2068.85, "end": 2069.51, "word": " تبعته", "probability": 0.7633056640625}, {"start": 2069.51, "end": 2070.71, "word": " وبنبدأ", "probability": 0.7865234375}, {"start": 2070.71, "end": 2070.91, "word": " في", "probability": 0.892578125}, {"start": 2070.91, "end": 2071.31, "word": " تسعة", "probability": 0.9918619791666666}, {"start": 2071.31, "end": 2071.53, "word": " اتنين", "probability": 0.9232177734375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2071.498625, "duration_after_vad": 1903.3199999999952}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9f238b2f04186c5b1011934d54a8eddf1619e2d3
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_postprocess.srt
@@ -0,0 +1,1404 @@
+1
+00:00:21,240 --> 00:00:23,480
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,480 --> 00:00:28,380
+المرسلين اليوم احنا ان شاء الله تقريبا احنا خلصنا
+
+3
+00:00:28,380 --> 00:00:31,100
+.. كان اخر section وجفنا عنده اللي هو section
+
+4
+00:00:31,100 --> 00:00:35,580
+تمانية تلاتة ال optimal binary search trees و
+
+5
+00:00:35,580 --> 00:00:41,000
+تقريبا غطيناها كله فاليوم بدنا نبدأ في chapter
+
+6
+00:00:41,000 --> 00:00:45,000
+تسعة اللي هو موضوع جديد بس قبل ما نبدأ .. قبل ما
+
+7
+00:00:45,000 --> 00:00:48,960
+نبدأ بدنا نشوف ايش ضايل من موضوع ال optimal binary
+
+8
+00:00:48,960 --> 00:00:56,430
+search treeكننا اخر اشي خلصنا منه اللي هو وفهمنا
+
+9
+00:00:56,430 --> 00:01:01,650
+كيف ال two tables دولة بنكونهم ال table اللي هو ال
+
+10
+00:01:01,650 --> 00:01:05,550
+main table و التاني اللي هو ال root table ال main
+
+11
+00:01:05,550 --> 00:01:09,370
+table بيعطيني في الآخر ال value نهائي اللي هو ال
+
+12
+00:01:09,370 --> 00:01:13,840
+best averageأو الـ Average للـ Best Binary .. للـ
+
+13
+00:01:13,840 --> 00:01:17,140
+Optimal Binary Search Tree و الـ Root Table
+
+14
+00:01:17,140 --> 00:01:20,700
+بيعطيني الـ Roots اللي على أساسهم .. اللي على
+
+15
+00:01:20,700 --> 00:01:25,240
+أساسهم بتتكون هذه ال values فبنبدأ في تكوين ال
+
+16
+00:01:25,240 --> 00:01:28,660
+Tree من .. على أساس ال .. ال Root Table تكوين ال
+
+17
+00:01:28,660 --> 00:01:31,220
+Tree على أساس ال Root Table وشوفنا هذا الكلام
+
+18
+00:01:31,220 --> 00:01:37,520
+المحاضر الماضي اليوم بدنا نكمل نشوف ال algorithm
+
+19
+00:01:37,520 --> 00:01:40,180
+نفسه و بعد كده نطلع على ال efficiency تبع ال
+
+20
+00:01:40,180 --> 00:01:45,170
+algorithmالـ Algorithm نفسها بقدر أنا أجسمها إلى
+
+21
+00:01:45,170 --> 00:01:56,390
+تلات أجزاء أساسية اللي هو الـ Initialization و
+
+22
+00:01:56,390 --> 00:02:04,950
+بعد ذلك اللوب الكبير اللي
+
+23
+00:02:04,950 --> 00:02:17,580
+في بداخلها جسمينالجسم اللى بيحسب ال minimum والجسم
+
+24
+00:02:17,580 --> 00:02:23,580
+اللى بيضيف ال minimum على ال probabilities تذكروا
+
+25
+00:02:23,580 --> 00:02:29,260
+هذا الأمر أنه احنا هنا يوم ما بنيجي نحسب ال value
+
+26
+00:02:29,260 --> 00:02:36,020
+لأى cell ال value هذا بتكون من مجموع ال
+
+27
+00:02:36,020 --> 00:02:36,580
+probabilities
+
+28
+00:02:40,570 --> 00:02:46,090
+زائد ال minimum لكل واحدة من ال case كي واحد كي
+
+29
+00:02:46,090 --> 00:02:50,530
+اتنين او اذا اكتر اذا عندي مناسبة من C واحد الى C
+
+30
+00:02:50,530 --> 00:02:54,190
+الى تلاتة تمام حيبقى عندك كي واحد كي اتنين و كي
+
+31
+00:02:54,190 --> 00:02:57,330
+تلاتة فاحنا بنحسب ال minimum اللي هم دول ال case
+
+32
+00:02:57,330 --> 00:03:01,310
+كلهم بناخد ال minimum هذا بنجمعه على ال
+
+33
+00:03:01,310 --> 00:03:03,650
+probability ال probability هذه بتذكر في المحاضرة
+
+34
+00:03:03,650 --> 00:03:07,010
+الماضية انا طلعتها برا يعني جيتها حولت الكلام هذا
+
+35
+00:03:07,010 --> 00:03:13,150
+ان ال C ofone two بساوي ال probability أو sum sum
+
+36
+00:03:13,150 --> 00:03:18,930
+probability من I من I بساوي واحد إلى إلى J P of I
+
+37
+00:03:18,930 --> 00:03:23,930
+زائد ال minimum ال minimum ما بين كل ال case K
+
+38
+00:03:23,930 --> 00:03:28,430
+واحد K اتنين و K تلاتة فال algorithm عملية بتعمل
+
+39
+00:03:28,430 --> 00:03:36,090
+هذا الكلام هنا هنا
+
+40
+00:03:36,090 --> 00:03:43,030
+لكل واحدة من ال caseمن K بيساوي من I إلى J من I
+
+41
+00:03:43,030 --> 00:03:54,190
+إلى J بتحسب ال
+
+42
+00:03:54,190 --> 00:03:58,530
+total تبع ال K و بتشوف هل هو أقل من ال current
+
+43
+00:03:58,530 --> 00:04:03,530
+minimumعشان نطلع احنا ال minimum نلف عليهم اول
+
+44
+00:04:03,530 --> 00:04:06,070
+واحد بنعتبر هو ال minimum التاني اذا اصغر منه
+
+45
+00:04:06,070 --> 00:04:07,910
+بيصير هو ال minimum التالت اذا اصغر منه بيصير هو
+
+46
+00:04:07,910 --> 00:04:12,930
+ال minimum نلف عليهم و اذا هو اصغر من current
+
+47
+00:04:12,930 --> 00:04:18,810
+minimum بيصير هو
+
+48
+00:04:18,810 --> 00:04:23,830
+ال minimum value في نفس الوقت لازم نسجل ال minimum
+
+49
+00:04:23,830 --> 00:04:29,140
+value هذا حدث and انهي kليش؟ لأن هذه الـ K هي اللي
+
+50
+00:04:29,140 --> 00:04:34,380
+بنسجلها في الـ route table صح أو لا؟ احنا لما بنجي
+
+51
+00:04:34,380 --> 00:04:37,660
+هنا و بنحسب ال minimum value هذا ال minimum value
+
+52
+00:04:37,660 --> 00:04:42,420
+لكي نعرف عند أي route حصل و بنسجلها في ال route
+
+53
+00:04:42,420 --> 00:04:53,600
+table فالـ K هي ال route و
+
+54
+00:04:53,600 --> 00:04:58,860
+تتخزن ال K من هذه تتخزن في مين؟في الـ root table R
+
+55
+00:04:58,860 --> 00:05:02,380
+خلّي
+
+56
+00:05:02,380 --> 00:05:09,500
+بالك ان ال algorithm بتطلعلي بتطلعلي بتطلع
+
+57
+00:05:09,500 --> 00:05:14,500
+هذا
+
+58
+00:05:14,500 --> 00:05:21,620
+ال average number of comparisons هو ال C هو ال
+
+59
+00:05:21,620 --> 00:05:32,230
+main table انا بخزّن فيه ال Cتبعت كل sub-tree ومضى
+
+60
+00:05:32,230 --> 00:05:39,030
+تطلعلي برضه ال R اللى هو ال root table هذا ال
+
+61
+00:05:39,030 --> 00:05:43,310
+output تبع ال algorithm ففي
+
+62
+00:05:43,310 --> 00:05:51,890
+الشق هذا بتروح بتحسب ال minimum و بتحسب ال root و
+
+63
+00:05:51,890 --> 00:05:56,330
+بتسجل ال root اللى حصل عنده هذا ال minimumبس الـ
+
+64
+00:05:56,330 --> 00:06:00,330
+Minimum هذا مش هو النهائي مش هو نهائي الحسبة الـ
+
+65
+00:06:00,330 --> 00:06:03,230
+Minimum Value مش هو اللي بدي يتخزن مباشرة في الـ
+
+66
+00:06:03,230 --> 00:06:07,110
+Table بدي ينضعف عليه بعدها كمين الـ Sum of
+
+67
+00:06:07,110 --> 00:06:15,250
+Probabilities الـ Line هذا for S سوى I to J بدي
+
+68
+00:06:15,250 --> 00:06:20,010
+يلف على ال Probabilities ويجمعهم عشان يضيفهم على
+
+69
+00:06:20,010 --> 00:06:23,570
+الـ Minimum هذا الـ Minimum Value يضيف عليه ال
+
+70
+00:06:23,570 --> 00:06:28,170
+Probabilitiesفهو بيجمع ال sum مع ال minimum و
+
+71
+00:06:28,170 --> 00:06:34,410
+بيسجل هذا الكلام هو اللي بيسجل في ال table واضح؟
+
+72
+00:06:34,410 --> 00:06:38,870
+مرة أخرى برجع تاني عشان .. اذا كنتوا تهتموا اللي
+
+73
+00:06:38,870 --> 00:06:46,350
+بيسجل في ال table اللي بيسجل في ال table هو أبعاد
+
+74
+00:06:46,350 --> 00:06:55,450
+شقين ال sum of PS او probabilities زائدالشقة
+
+75
+00:06:55,450 --> 00:07:03,530
+التانية اللي هو ال minimum وهذا
+
+76
+00:07:03,530 --> 00:07:07,910
+اللي بيسويه ال algorithm في السطر هذا أو في الجزء
+
+77
+00:07:07,910 --> 00:07:12,750
+هذا السطر الأول يعني بتحسب ال sum و في السطر
+
+78
+00:07:12,750 --> 00:07:15,410
+التاني بتضيفه على ال minimum ال minimum اللي هو
+
+79
+00:07:15,410 --> 00:07:21,770
+حسبته في الجزء هنا خلاص؟ okay و بعد كده بتطلع ليه؟
+
+80
+00:07:22,760 --> 00:07:30,320
+التي هي الـ two tables الـ C و الـ R بالنسبة
+
+81
+00:07:30,320 --> 00:07:35,340
+للـ Efficiency تبعة الـ Algorithm في النهاية احنا
+
+82
+00:07:35,340 --> 00:07:39,740
+فيها تابل تتعبى سواء هذا التابل أو هذا التابل
+
+83
+00:07:39,740 --> 00:07:43,280
+والتابل تبعها أبعاد N في N أو N plus one في N plus
+
+84
+00:07:43,280 --> 00:07:51,500
+one صح؟ هي N زيادة الصفر و N زيادة الأخير N plus
+
+85
+00:07:51,500 --> 00:07:59,590
+one في N plus oneصح مش هيتعبّى الجزء هذا يعني نصه
+
+86
+00:07:59,590 --> 00:08:04,990
+هذا ال table جداش حجمه n square او n plus one
+
+87
+00:08:04,990 --> 00:08:13,410
+square نصه نص complexity بننظر على انها ايش على
+
+88
+00:08:13,410 --> 00:08:18,890
+انها n تربية مظبوط؟ لأن هل في best case و worst
+
+89
+00:08:18,890 --> 00:08:25,270
+case لأ فهي هتبقى ايش big thetaصح؟ هدا الكلام time
+
+90
+00:08:25,270 --> 00:08:30,190
+و أيضا space لأن ال space هو حجم ال table في ال
+
+91
+00:08:30,190 --> 00:08:35,270
+memory و ال time عدد العناصر، مظبوط؟ فال
+
+92
+00:08:35,270 --> 00:08:40,590
+complexity تبع ال algorithm هادي كوادراتك،
+
+93
+00:08:40,590 --> 00:08:46,810
+يعني تربية، N تربية في ال time و في ال space ماشي
+
+94
+00:08:46,810 --> 00:08:52,150
+الحال؟ okay طيب، من هذا ال sectionاحنا بدنا سؤال
+
+95
+00:08:52,150 --> 00:08:57,010
+رقم اتنين و تلاتة تسلموهم و الأسئلة من واحد لستة
+
+96
+00:08:57,010 --> 00:09:03,730
+هدولة للامتحان اذا انا احنا نكمل و نطلع على ال
+
+97
+00:09:03,730 --> 00:09:07,570
+chapter الجديد chapter تسعة اللي هو بتناول نوع اخر
+
+98
+00:09:07,570 --> 00:09:11,170
+من ال algorithmات اللي بتتبع حاجة اسمة greedy
+
+99
+00:09:11,170 --> 00:09:15,250
+technique greedy technique okay من هذا ال chapter
+
+100
+00:09:15,250 --> 00:09:17,890
+احنا بدنا اول تلاتة succession تسعة واحد تسعة
+
+101
+00:09:17,890 --> 00:09:26,020
+اتنين تسعة تلاتةتسعة واحد بتناول
+
+102
+00:09:26,020 --> 00:09:29,480
+خرزمية اسمها ال Prims Algorithm نطلع عليها الآن ان
+
+103
+00:09:29,480 --> 00:09:33,020
+شاء الله جابل تسعة واحد يعني المقدمة تبع chapter
+
+104
+00:09:33,020 --> 00:09:37,760
+تسعة فيها تمهيد انا هتجاوزه هدخل في تسعة واحد على
+
+105
+00:09:37,760 --> 00:09:43,120
+طول عشان نستوعب الفكرة الأساسية ال greedy
+
+106
+00:09:43,120 --> 00:09:45,820
+technique okay
+
+107
+00:09:47,160 --> 00:09:52,320
+طيب تسعة واحد اللي هو Prim's Algorithm بتتناول
+
+108
+00:09:52,320 --> 00:09:57,960
+مسألة اسمها ال minimum spanning tree problem إيش
+
+109
+00:09:57,960 --> 00:10:01,680
+يعني ال minimum spanning tree؟ بدنا نفهم إيش يعني
+
+110
+00:10:01,680 --> 00:10:04,460
+spanning tree؟ بدنا نفهم إيش يعني minimum spanning
+
+111
+00:10:04,460 --> 00:10:09,140
+tree؟ okay بعد هي كده بنشوف كيف ال algorithm
+
+112
+00:10:09,140 --> 00:10:13,820
+بتتعامل مع هذه ال problem okay spanning tree هي
+
+113
+00:10:13,820 --> 00:10:21,580
+عبارة عنلما بكون في عندي graph و
+
+114
+00:10:21,580 --> 00:10:26,080
+ال graph هذا connected اما نحنا نظريا ال graph
+
+115
+00:10:26,080 --> 00:10:30,700
+بالنسبة لنا مجموعة من ال vertices و مجموعة من ال
+
+116
+00:10:30,700 --> 00:10:34,960
+edges، مظبوط؟ يعني هذا ال graph أنا نظريا بتخيله
+
+117
+00:10:34,960 --> 00:10:41,880
+A, B, C, D هذه مجموعة ال ايش؟ ال vertices و ايش
+
+118
+00:10:41,880 --> 00:10:48,220
+مجموعة ال edges؟ في عندي edge من A ل Bو من A ل C و
+
+119
+00:10:48,220 --> 00:10:55,460
+من A ل D اظن فيه نعم و فيه من ايش من C ل D okay
+
+120
+00:10:55,460 --> 00:11:02,360
+فهذا نظريا الان لما انا بدأ ا مثله برسم ال notes
+
+121
+00:11:02,360 --> 00:11:06,920
+هذه و بعمل ال edges ما بينهم بشوف ال graph على هذا
+
+122
+00:11:06,920 --> 00:11:12,740
+الشكل okay الان ال graph لما بيكون connected ايش
+
+123
+00:11:12,740 --> 00:11:18,400
+معناه connected؟يعني كله كتلة واحدة تخيلي لو أنا
+
+124
+00:11:18,400 --> 00:11:29,480
+ال .. هذه ال edge شطبتها شطبتها أصبح في عندي ال a
+
+125
+00:11:29,480 --> 00:11:34,180
+و ال c و ال d كتلة و ال b لحالها كتلة مظبوط؟ صار
+
+126
+00:11:34,180 --> 00:11:38,500
+مش connected، ضاله graph لازال هو graph، لكن مش
+
+127
+00:11:38,500 --> 00:11:44,690
+connected صار في ..انشقاق يعني انفصل إلى شقين
+
+128
+00:11:44,690 --> 00:11:49,870
+وممكن يبقى اكتر من الشقين بس بيظلوا graph فإذا
+
+129
+00:11:49,870 --> 00:11:52,970
+كانت هذه graph وكان connected وكان undirected يعني
+
+130
+00:11:52,970 --> 00:11:59,690
+إيش undirected؟ يعني ال edge ايوة
+
+131
+00:11:59,690 --> 00:12:04,350
+لأ ال undirected إنه بيساوي إنه .. إن هذا مش
+
+132
+00:12:04,350 --> 00:12:11,060
+sorted a b و b a نفس الأشي يعنيالطريق هذه رايح جاي
+
+133
+00:12:11,060 --> 00:12:18,060
+ال H هذه ال directed انه لما يكون A بي فقط لا تعني
+
+134
+00:12:18,060 --> 00:12:24,300
+بي بي A فلما يكون graph و connected و undirected و
+
+135
+00:12:24,300 --> 00:12:28,240
+انا اقولك طلعيني ال spanning tree منه طلعيني منه
+
+136
+00:12:28,240 --> 00:12:31,520
+spanning tree ايش يعني spanning tree يعني لو انا
+
+137
+00:12:31,520 --> 00:12:37,820
+جيت اخدت واحدة من ال nodes او ال verticesأو اتدرجت
+
+138
+00:12:37,820 --> 00:12:42,600
+عبر ال edges المتصلة إبها وشكلت Tree ال Tree هذه
+
+139
+00:12:42,600 --> 00:12:48,000
+بتكون عبارة Asyclic Subgraph من ال Graph هدول
+
+140
+00:12:48,000 --> 00:12:52,880
+التلاتة Spanning Trees من هذا ال Graph كلهم Tree
+
+141
+00:12:52,880 --> 00:12:56,620
+صح؟ يعني أنا بتخيلهم هيك هاي ال A وهي Child اللي
+
+142
+00:12:56,620 --> 00:13:00,960
+هو ال B وهي Child تاني اللي هو ال D وهي Child تالت
+
+143
+00:13:00,960 --> 00:13:06,230
+اللي هو أو ال C متفرع من ال D صح؟أه يعني هو رسمهم
+
+144
+00:13:06,230 --> 00:13:11,210
+بنفس المضاهية أنا هنا رسمت على شكل ال tree okay
+
+145
+00:13:11,210 --> 00:13:14,910
+هنا ال a إلى two children ال b و ال c و ال c إلى
+
+146
+00:13:14,910 --> 00:13:17,930
+ال child اللي هو ال d هنا ال a إلى تلاتة children
+
+147
+00:13:17,930 --> 00:13:23,030
+فلو أنت بقصيتي على ال spanning tree هتلاقيها هي
+
+148
+00:13:23,030 --> 00:13:30,030
+نفس ال graph بس الله ما إلا بعض ال edges ممكن تكون
+
+149
+00:13:30,030 --> 00:13:36,730
+انحدثت يعني هنا ال edge هاد انحدثتصح؟ هنا الـedge
+
+150
+00:13:36,730 --> 00:13:41,590
+هذه الحدفات هنا الـedge هذه هناك في الآخر الحدفات
+
+151
+00:13:41,590 --> 00:13:46,850
+المهم إنها a cyclic sub graph a cyclic يعني مافيش
+
+152
+00:13:46,850 --> 00:13:51,270
+cycles مظبوط؟ و هي tree هي بدأت .. بدأت .. حطينا
+
+153
+00:13:51,270 --> 00:13:57,710
+node من ال nodes عليها root ومشينا .. وغطينا كل ال
+
+154
+00:13:57,710 --> 00:14:01,630
+vertices كل ال vertices لازم تبقى مشمولة في ال
+
+155
+00:14:01,630 --> 00:14:05,600
+spanning treeمارا عليكم مصطلح spanning tree قبل
+
+156
+00:14:05,600 --> 00:14:13,020
+هيك؟ طيب مش مشكلة فالمهم انه احنا لما ال graph ده
+
+157
+00:14:13,020 --> 00:14:19,800
+ال edges تبقى تبجألها cost اللي هي تكاليف بيصير
+
+158
+00:14:19,800 --> 00:14:23,120
+احنا طبعا ال graph زي ما احنا شايفين ال graph
+
+159
+00:14:23,120 --> 00:14:30,480
+الواحد ممكن يتولد منه multiple spanning treesالان
+
+160
+00:14:30,480 --> 00:14:34,560
+هيختلفوا في ال cost ال total cost تبع ال spanning
+
+161
+00:14:34,560 --> 00:14:41,080
+tree هي ال total cost تبع ال edges يعني هنا واحد و
+
+162
+00:14:41,080 --> 00:14:48,100
+اتنين و تلاتة اه ستة واحد و خمس و تلاتة تسعة واحد
+
+163
+00:14:48,100 --> 00:14:53,560
+و اتنين و خمسة تمانية فأصبحت الان ال problem هي to
+
+164
+00:14:53,560 --> 00:15:02,270
+find ال minimum spanning treeيعني given a graph an
+
+165
+00:15:02,270 --> 00:15:06,210
+undirected connected graph find ال minimum
+
+166
+00:15:06,210 --> 00:15:10,570
+spanning tree هذه
+
+167
+00:15:10,570 --> 00:15:13,050
+اسمها ال minimum spanning tree problem ال
+
+168
+00:15:13,050 --> 00:15:16,850
+algorithm تتعامل مع هذا ال problem بال style
+
+169
+00:15:16,850 --> 00:15:22,130
+greedy بالأسلوب ال greedy technique خلينا نطلع على
+
+170
+00:15:22,130 --> 00:15:28,050
+التقنية كيف تشتغلبسيطة جدا احنا نيجي على ال graph
+
+171
+00:15:28,050 --> 00:15:33,390
+و نبدأ من اي node اي vertex عشوائي يعني نبدأ احنا
+
+172
+00:15:33,390 --> 00:15:38,070
+نبدأ بال A و من ال A بنشوف مين المتصل ابها ب edges
+
+173
+00:15:38,070 --> 00:15:47,090
+و ناخد الأقل تكلفة و نضمها إلى يعني انا بدي تكون
+
+174
+00:15:47,090 --> 00:15:52,350
+في عندي هاي ال graph و بدي تكون في عندي لتري
+
+175
+00:15:54,400 --> 00:15:57,680
+الـ Tree هتكون متشكلة من .. أو خلّيني أجي هنا
+
+176
+00:15:57,680 --> 00:16:03,940
+متشكلة من ..
+
+177
+00:16:03,940 --> 00:16:11,980
+متشكلة من .. اللي هي ال vertices نفسها زائد مجموعة
+
+178
+00:16:11,980 --> 00:16:16,900
+من ال edges انا بدي أقول E Star
+
+179
+00:16:19,350 --> 00:16:25,850
+تدرجيًا نبدأ في واحدة، قول الـA، وبعدين نشوف مين
+
+180
+00:16:25,850 --> 00:16:31,470
+انضم إليها، تدرجيًا لما نضمهم كلهم، لأن الـtree زي
+
+181
+00:16:31,470 --> 00:16:36,270
+ما اتفاجنا تشتمل كافة ال vertices اللي في الجواف،
+
+182
+00:16:36,270 --> 00:16:42,330
+لا تستثنى أي واحدة، بينما ال edges ممكن نستثنى،
+
+183
+00:16:42,330 --> 00:16:48,870
+صح؟فالـ Algorithm بدأ تمشي على الـ vertices تبقى
+
+184
+00:16:48,870 --> 00:16:53,730
+للـ graph تبدأ من واحدة وتشوف من اللي ممكن تضم
+
+185
+00:16:53,730 --> 00:16:59,730
+معاها وبعدين تتوسع تدريجيا يعني شوي شوي تتوسع لحد
+
+186
+00:16:59,730 --> 00:17:08,010
+ما تضم كافة ال vertices فهذه تبدأ بالـ A وبتشوف من
+
+187
+00:17:08,010 --> 00:17:18,070
+الـ A إيش في vertices أخرى ممكنReachable يعني ممكن
+
+188
+00:17:18,070 --> 00:17:25,410
+تنتقل إليهم ففي انك Edge مباشرة على ال B تكلفتها
+
+189
+00:17:25,410 --> 00:17:32,030
+تلاتة وعلى ال F تكلفتها خمسة وعلى ال E تكلفتها ستة
+
+190
+00:17:32,030 --> 00:17:38,330
+صح؟ هذا الجوز بسجل التكلفة و بسجلالوصول إلى هذه
+
+191
+00:17:38,330 --> 00:17:42,570
+الـ node .. الوصول إلى هذه عبر مين؟ طب أنا A وعبر
+
+192
+00:17:42,570 --> 00:17:47,110
+A أحيانا قدام شوية هشوف أنه ممكن عبر node أخرى
+
+193
+00:17:47,110 --> 00:17:51,070
+المهم أن الآن الطلاع بس على التكلفة خلاص التكلفة
+
+194
+00:17:51,070 --> 00:17:55,470
+هنا إيش Infinity لأنه أنا من الـ A مافي عندي أي
+
+195
+00:17:55,470 --> 00:18:00,150
+وسيلة للوصول لا مباشر ولا غير مباشر للوصول إلى ال
+
+196
+00:18:00,150 --> 00:18:04,170
+nodes الأخرى هذه الـ C والـ D صح؟
+
+197
+00:18:06,650 --> 00:18:11,170
+ليش مافيش A غير مباشر؟ لأن هدولة اللي انا ممكن اصل
+
+198
+00:18:11,170 --> 00:18:15,170
+لل C عبرهم لسه مش جوا ال letter E ماصاروش جوا ال
+
+199
+00:18:15,170 --> 00:18:19,630
+letter E لما يصيروا جوا letter E وانا هنا A وهادي
+
+200
+00:18:19,630 --> 00:18:24,130
+جوا letter E بقدر اقول ان انا ممكن اصل ال letter C
+
+201
+00:18:24,130 --> 00:18:30,910
+غير مباشرة عبر ال F بس انا لان لسه ال A ومافيش في
+
+202
+00:18:30,910 --> 00:18:36,550
+ال letter E غيرهافأنا ما بقدر أصل إلا بس لهدولة،
+
+203
+00:18:36,550 --> 00:18:40,310
+هدولة مابقدرش أصلهم، الآن هاخد مين من التلاتة
+
+204
+00:18:40,310 --> 00:18:44,870
+هدولة؟ هاخد ال minimum، اللي هي ال B صارت الآن ال
+
+205
+00:18:44,870 --> 00:18:52,150
+B filetree، الان من ال B برضه بده أشوف .. بده أشوف
+
+206
+00:18:52,150 --> 00:18:57,510
+من المجاور إيه اللي ممكنأه ممكن من ال B أصل إلى ال
+
+207
+00:18:57,510 --> 00:19:03,130
+C مباشر مباشر هذا ال B يعني مباشر أنا في ال B و ده
+
+208
+00:19:03,130 --> 00:19:08,070
+أصل إلى ال C عبر ال B مباشر و بتكلفة واحد ال D
+
+209
+00:19:08,070 --> 00:19:16,050
+بقدرش أصللها صح ال D أنا في ال B صح بقدرش أصللها
+
+210
+00:19:16,050 --> 00:19:24,730
+لسه infinity ال E بقدر أصللهاأيوة عبر ال A ال A في
+
+211
+00:19:24,730 --> 00:19:30,570
+ال tree صح عبر ال A بتكلفة ستة ستة من ال A طبعا مش
+
+212
+00:19:30,570 --> 00:19:38,110
+total cost ستة من ال A بقدر أروح من ال B لأ ال F
+
+213
+00:19:38,110 --> 00:19:43,970
+مباشر مباشر أبقى أربعة أنا الآن مباشر ولا غير
+
+214
+00:19:43,970 --> 00:19:49,770
+مباشر بتطلع بس على ال cost ال cost اللي أجال ال
+
+215
+00:19:49,770 --> 00:19:57,560
+node ال nodeاللي ال course تبعتها أجال بضمها مين
+
+216
+00:19:57,560 --> 00:20:04,160
+الأجال؟ واحد، صح؟ تنزل ال C تنزل
+
+217
+00:20:04,160 --> 00:20:08,100
+ال C، لحظة أنه مش عارف مابين عندك الخط الغامج هذا
+
+218
+00:20:08,100 --> 00:20:14,180
+يشير إلى .. okay، هذا الآن المعلومة هذه لما سجلت
+
+219
+00:20:14,180 --> 00:20:18,600
+أنا ماسجلتش ال B لوحدها سجلت أيضا ال B دخلت عبر
+
+220
+00:20:18,600 --> 00:20:23,970
+مين؟أيوة هذه المعلومة هي معلومة الـ Edge هي اللي
+
+221
+00:20:23,970 --> 00:20:27,650
+بتقول ليه لأنه أنا بتشكل ال vertices و بتشكل ال
+
+222
+00:20:27,650 --> 00:20:36,850
+edges ال Edge هيتها BA واضح؟ نكمل لما نزلت ال C
+
+223
+00:20:36,850 --> 00:20:41,950
+لأن أنا و أنا على ال C بقدر أشوف هدي مباشر و هدي
+
+224
+00:20:41,950 --> 00:20:50,780
+مباشر صح؟ و بقدر أشوف ال E برضه عبر ال Aهي ال D
+
+225
+00:20:50,780 --> 00:20:54,580
+مباشر
+
+226
+00:20:54,580 --> 00:21:00,520
+بتكلفة 6 ال E عبر ال A بتكلفة 6 وال F بقدر أشوفه
+
+227
+00:21:00,520 --> 00:21:06,820
+بطريقتين مباشر و عبر ال B عبر
+
+228
+00:21:06,820 --> 00:21:13,140
+ال B أخد هو اللي عبر ال B واقع الأخر الطريقين
+
+229
+00:21:13,140 --> 00:21:18,460
+تكلفتهم نفس ال F4يعني لو بدأ شوفها مباشرة و أربعة
+
+230
+00:21:18,460 --> 00:21:22,360
+و لو بدأ أروح لها عبر الـP أربعة، نظبط؟ لما يكون
+
+231
+00:21:22,360 --> 00:21:27,720
+في عندي تساوي، باخد أي واحدة، مش هتفرق، okay؟ لما
+
+232
+00:21:27,720 --> 00:21:32,120
+يكون في عندي طريقين للوصول إلى نفس الـvertex و
+
+233
+00:21:32,120 --> 00:21:34,960
+الطريقين نفس التكلفة، باخد أي واحد منهم
+
+234
+00:21:34,960 --> 00:21:41,060
+arbitrarily، بشكل عشوائي بدون تفرقة، okay؟ الأربعة
+
+235
+00:21:41,060 --> 00:21:46,190
+هذه happens to be أنها الأقل، فأخدهاصار لان احنا
+
+236
+00:21:46,190 --> 00:21:51,530
+على ال F من ال F في
+
+237
+00:21:51,530 --> 00:22:00,590
+عندي ال D ال D مباشر بتكلفة خمسة و ال D بشوفها لأ
+
+238
+00:22:00,590 --> 00:22:06,690
+اسف و ال E مباشر بتكلفة اتنين تمام يمكن تنزل من
+
+239
+00:22:06,690 --> 00:22:09,650
+الأقل ال E
+
+240
+00:22:12,500 --> 00:22:20,700
+الـ D ولا الـ E بتنزل؟ من الأقل؟ الـ E تمام؟ الآن
+
+241
+00:22:20,700 --> 00:22:26,240
+أنا على الـ E عندي
+
+242
+00:22:26,240 --> 00:22:34,120
+طبعا خلي باكوا اللي بنزل هنا بيطلع من هنا عشان أنا
+
+243
+00:22:34,120 --> 00:22:37,980
+ماقعدش أدور عليهم فيهم كلهم خلاص اللي انا دخلتها
+
+244
+00:22:37,980 --> 00:22:43,290
+في ال tree بشطب عليها من ال graphالان كلهم دخلوا
+
+245
+00:22:43,290 --> 00:22:47,510
+بعد ال E ما تكون دخلة كلهم دخلوا مضالش الا ال D
+
+246
+00:22:47,510 --> 00:22:54,090
+مضالش الا ال D ف ال D انا بقدر اروحلها مباشر
+
+247
+00:22:54,090 --> 00:23:00,710
+بتكلفة اه
+
+248
+00:23:00,710 --> 00:23:06,130
+ال D بقدر اروحلها مباشر بتكلفة تمانية و بقدر
+
+249
+00:23:06,130 --> 00:23:13,460
+اروحلها عبر ال Fبتاكر في الخمسة فباخد ال F فبتنزل
+
+250
+00:23:13,460 --> 00:23:18,420
+و خلاص ماتما نزلت ماضلش إشي فبتنتهي ال algorithm
+
+251
+00:23:18,420 --> 00:23:28,800
+ال A نعد ل tree اللي نتجت بتكون هي minimum minimum
+
+252
+00:23:28,800 --> 00:23:41,970
+cost يعني ال edges هذه okay دي F دي GM الآخرEF ان
+
+253
+00:23:41,970 --> 00:23:50,150
+كان المفروض اسجلهم و احنا ماشيين FB صح CB و اللي
+
+254
+00:23:50,150 --> 00:23:54,030
+قبل ايش BA
+
+255
+00:23:54,030 --> 00:24:03,710
+اكم age واحد اتنين تلاتة اربعة خمسة اللي هم نعم
+
+256
+00:24:03,710 --> 00:24:08,010
+واحد اتنين تلاتة اربعة خمسة صح BA
+
+257
+00:24:11,000 --> 00:24:18,460
+CB CB و FB و
+
+258
+00:24:18,460 --> 00:24:22,100
+EF و
+
+259
+00:24:22,100 --> 00:24:28,080
+FD او DF okay الآن هذي Tree ولا مش Tree ايه ال
+
+260
+00:24:28,080 --> 00:24:30,980
+Tree احنا اخدنا ال A على انه هي اللي بتتدايم فهي
+
+261
+00:24:30,980 --> 00:24:40,600
+ال root صح بتفرع منها مين ال B ال Bمن ال B إيش
+
+262
+00:24:40,600 --> 00:24:46,640
+بتفرع ال C من ناحية و ال H و ال F من ناحية و ال F
+
+263
+00:24:46,640 --> 00:25:06,780
+بتفرع منها ال D و ال .. و ال H و ال E okay في
+
+264
+00:25:06,780 --> 00:25:09,220
+سؤال على ال .. okay
+
+265
+00:25:27,670 --> 00:25:35,210
+في حد عنده استفسار؟ نطلع
+
+266
+00:25:35,210 --> 00:25:40,230
+على الـ Algorithm بسيطة، أول شيء عندي ال vertices
+
+267
+00:25:40,230 --> 00:25:46,970
+وفي عندي ال edges Vt هذا اللي هو ال vertices اللي
+
+268
+00:25:46,970 --> 00:25:50,530
+تبعت ال tree اللي بدنا نشكلها و Et اللي هي ال
+
+269
+00:25:50,530 --> 00:25:55,860
+edges تبعت ال treeبداية اذا ما نضع V0 اللي هو اول
+
+270
+00:25:55,860 --> 00:26:00,920
+vertex نضعه في مين؟ في Vt و ال edges بتبقى فاضية
+
+271
+00:26:00,920 --> 00:26:05,940
+ال set مجموعة ال edges بتبقى فاضية احنا بدنا نمشي
+
+272
+00:26:05,940 --> 00:26:10,020
+من I أساوة واحد to عدد ال vertices اللي في V
+
+273
+00:26:10,020 --> 00:26:13,500
+الاصلية اللي تابعة لل graph ناقص واحد لان احنا
+
+274
+00:26:13,500 --> 00:26:18,520
+بدنا من واحد فبدنا نكمل للاخريات find a minimum
+
+275
+00:26:18,520 --> 00:26:27,220
+weight edge Eمن among all edges VU يعني احنا VU
+
+276
+00:26:27,220 --> 00:26:36,780
+هتبقى موجودة في في مجموعة ال edges في جرافتنا اللي
+
+277
+00:26:36,780 --> 00:26:49,970
+هم زي ما بدأنا هنا هي كل ال edges من Aمن a لكل
+
+278
+00:26:49,970 --> 00:26:53,890
+واحدة من ال other nodes ومن هنا ناخد ال minimum
+
+279
+00:26:53,890 --> 00:27:00,850
+نرجع تاني لل algorithm هذه الان v اللي انا واقف
+
+280
+00:27:00,850 --> 00:27:06,430
+عليها بدي اجيب كل ال nodes اللي بينهم وبينها edge
+
+281
+00:27:06,430 --> 00:27:13,020
+واخد ال minimum واسجل هذه ال edgeالـ edge هي عبارة
+
+282
+00:27:13,020 --> 00:27:19,060
+عن الـ E هنا E star هي عبارة عن الـ edge الأقصر ما
+
+283
+00:27:19,060 --> 00:27:24,000
+بين مين؟ ما بين كل ال edges اللي بتربط V اللي هي
+
+284
+00:27:24,000 --> 00:27:28,620
+ال vertex اللي أنا واقف عليه عشان أنا واقف هنا ما
+
+285
+00:27:28,620 --> 00:27:32,300
+أخد ال vertices واحد ورا التاني أنا واقف على V بدي
+
+286
+00:27:32,300 --> 00:27:36,060
+أشوف ما بين V وما بين كل ال other vertices اللي في
+
+287
+00:27:36,060 --> 00:27:42,860
+ال graph أشوف هذه ال edges أخد ال minimum okaysuch
+
+288
+00:27:42,860 --> 00:27:51,760
+that V is in VT and U is in هذا عبارة عن مين الفرق
+
+289
+00:27:51,760 --> 00:27:56,420
+ما بين يعني هذا عبارة عن مجموعة اللي لم يتم أخدها
+
+290
+00:27:56,420 --> 00:28:03,920
+بعد V ناقص VT إيش هم يعني زي أنا عندي VT و أنا
+
+291
+00:28:03,920 --> 00:28:10,260
+الآن ماخد A و B دخلين في ال tree و V اللي هم كلهم
+
+292
+00:28:15,330 --> 00:28:23,190
+يبقى H V نقص VT يبقى الباجين شيلة A وB من هنا يبقى
+
+293
+00:28:23,190 --> 00:28:26,250
+الباجين فاحنا دايما بندور في الباجين في اللي
+
+294
+00:28:26,250 --> 00:28:36,550
+مانضموش إلى ال letter E okay فاحنا نقعد فين على ال
+
+295
+00:28:36,550 --> 00:28:42,170
+node اللي في ال .. على ال node اللي في ال .. اللي
+
+296
+00:28:42,170 --> 00:28:45,940
+في ال letter Eوبشوف مابينها و مابين الـ other
+
+297
+00:28:45,940 --> 00:28:51,880
+nodes هدولة كدهش إيش فيه edges و كدهش ال cost أبقى
+
+298
+00:28:51,880 --> 00:28:57,320
+كل ال edge و بناخد ال minimum خلي
+
+299
+00:28:57,320 --> 00:29:03,260
+بالك إنه هنا إيش جال V is in Vt ماجالش بس V هي ال
+
+300
+00:29:03,260 --> 00:29:07,040
+node اللي أنا واقف عليها فقط كيف يعني؟ يعني لما
+
+301
+00:29:07,040 --> 00:29:07,880
+أنا هنا Gina
+
+302
+00:29:14,560 --> 00:29:20,120
+كان عندى انا هذه
+
+303
+00:29:20,120 --> 00:29:28,200
+مثلا ال E انا الان واجف على B يفترض انه من B بشوف
+
+304
+00:29:28,200 --> 00:29:34,620
+ال edges اللي بشوف ال notes المتصلة بها مباشرة لكن
+
+305
+00:29:34,620 --> 00:29:42,010
+لأ انا هنا ايضا شفت ال E E متصلة بمين؟ ب Aأيش اللي
+
+306
+00:29:42,010 --> 00:29:47,150
+سامحلي أني هشوف ال E كون ان ال A موجودة في ال
+
+307
+00:29:47,150 --> 00:29:54,250
+tree؟ يعني أنا عمليا بابحث كل ال vertices اللي هنا
+
+308
+00:29:54,250 --> 00:30:02,350
+بشوف من A .. هاي اللي ضايقين صح؟ من A إلى C، من A
+
+309
+00:30:02,350 --> 00:30:10,130
+إلى Dمن A إلى E من A إلى F بعدين من B إلى A أسف من
+
+310
+00:30:10,130 --> 00:30:17,470
+B إلى C من B إلى D من B إلى E من B إلى F يعني
+
+311
+00:30:17,470 --> 00:30:20,090
+عمليا أنا بدأ أشوف كل هدولة بدأ أخد ال minimum
+
+312
+00:30:20,090 --> 00:30:25,330
+مظبوط؟ يعني بدأ أشوف المتصلين باللي أنا واجه عليها
+
+313
+00:30:25,330 --> 00:30:30,390
+مباشرة وبدأ أشوف المتصلين بأي واحد أخر موجود كمان
+
+314
+00:30:30,390 --> 00:30:32,010
+في ال .. في ال tree
+
+315
+00:30:36,910 --> 00:30:43,470
+such that v is in vt و الطرف التاني هو vertex
+
+316
+00:30:43,470 --> 00:30:50,990
+موجودة في البجين okay إلى أن لما ألاقيها لما ألاقي
+
+317
+00:30:50,990 --> 00:30:56,250
+هذا ال edge الأفضل بروح بأضم main بأضم ال node
+
+318
+00:30:56,250 --> 00:31:03,410
+اللي هذا ال edge بتودين عليها اللي هي ال U star E
+
+319
+00:31:03,410 --> 00:31:07,640
+star هنا يعني ال edge الأفضل ال edge الأقلالـ edge
+
+320
+00:31:07,640 --> 00:31:13,000
+الأقل الطرف التاني تبعها هو U*) باضيفه على مين؟
+
+321
+00:31:13,000 --> 00:31:17,440
+على ال vertices تبع ال table تبع ال tree اسمه و
+
+322
+00:31:17,440 --> 00:31:22,120
+باضيف أيضا ال edge هذه على ال edges تبع ال tree
+
+323
+00:31:22,120 --> 00:31:30,640
+union okay هاي كل ال algorithm في الآخر في الآخر
+
+324
+00:31:30,640 --> 00:31:39,860
+أنا عايش ارجع ارجع Vt وال Etولا الاتنين؟ يعني ال
+
+325
+00:31:39,860 --> 00:31:44,840
+vertices تبقى تلتري؟ ولا ال edges تبقى تلتري؟ ولا
+
+326
+00:31:44,840 --> 00:31:50,420
+الاتنين؟ ال edges بس لإن هدولة هم أصلا .. هم تبقى
+
+327
+00:31:50,420 --> 00:31:54,860
+في ال graph صح ولا؟ فمش محتاج أرجح معروفين أنه أنا
+
+328
+00:31:54,860 --> 00:31:57,780
+كل اللي موجود في ال graph هو هيكون موجود أيضا في
+
+329
+00:31:57,780 --> 00:32:03,860
+ال tree بس برجع ال edges تبقى تلتري تمام
+
+330
+00:32:10,090 --> 00:32:14,830
+Okay الآن هذا المفهوم مفهوم greedy كلمة greedy في
+
+331
+00:32:14,830 --> 00:32:20,350
+اللغة يعني إيش البخيل أو
+
+332
+00:32:20,350 --> 00:32:26,340
+طماع صح طماع أقرب من البخيل ده ك stingy البخيلالـ
+
+333
+00:32:26,340 --> 00:32:30,580
+Grade الطمع هي الطمع و قصر النظر في نفس الوجهة
+
+334
+00:32:30,580 --> 00:32:36,340
+يعني انه بس بتطلع على حدود القريب منها يعني كل ال
+
+335
+00:32:36,340 --> 00:32:43,140
+.. من عند كل vertex تطلع على ال vertices القريبة و
+
+336
+00:32:43,140 --> 00:32:48,240
+بتاخد الأقرب و بتاخد الأكثر يعني و على هذا الأساس
+
+337
+00:32:48,240 --> 00:32:54,700
+بتطلع الاش بتطلع ال minimum أو بتحل المثلبقصر نظر
+
+338
+00:32:54,700 --> 00:33:02,180
+و بانه تميل الى الأفضل حاليا مالهاش بعض نظر على كل
+
+339
+00:33:02,180 --> 00:33:05,820
+ال .. يعني في بعض الحلقة .. في البداية رفيان دي
+
+340
+00:33:05,820 --> 00:33:10,920
+infinity مش شايفين ال .. ال vertices الأخرى جديش
+
+341
+00:33:10,920 --> 00:33:15,300
+تكلفتها فبناء على بس المعلومات المحيطة معلومات
+
+342
+00:33:15,300 --> 00:33:21,340
+التابعة ال vertices القريبة منها بتقرر okay؟
+
+343
+00:33:23,540 --> 00:33:26,240
+هذه هي الـ Algorithm، والـ Algorithm اللي بعدها
+
+344
+00:33:26,240 --> 00:33:30,060
+برضه بيتطرح هو نفس الأسلوب اللي هو الـ greedy و
+
+345
+00:33:30,060 --> 00:33:35,440
+لنفس المسألة، two algorithms سنشوف هذه، والتانية
+
+346
+00:33:35,440 --> 00:33:42,340
+اللي هي cross callبيعالجوا نفس ال minimum spanning
+
+347
+00:33:42,340 --> 00:33:46,200
+tree problem اماما احنا الان بنكون عمالين خلصنا ال
+
+348
+00:33:46,200 --> 00:33:50,520
+section تسعة واحد okay تسعة واحد فيه بدنا منه
+
+349
+00:33:50,520 --> 00:33:58,340
+مسئولتين اللي هي الأولى و التانية و الباقي خلي
+
+350
+00:33:58,340 --> 00:34:02,460
+بالك من عند واحد لخمسة و من تسعة لتلتاش هدولة
+
+351
+00:34:02,460 --> 00:34:03,200
+لامتحان
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..7c4443ad3e034d5503196a6f58091475c164aa3a
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_raw.json
@@ -0,0 +1 @@
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{"start": 206.25, "end": 207.13, "word": " فال", "probability": 0.96875}, {"start": 207.13, "end": 207.51, "word": " algorithm", "probability": 0.8408203125}, {"start": 207.51, "end": 207.99, "word": " عملية", "probability": 0.69378662109375}, {"start": 207.99, "end": 208.43, "word": " بتعمل", "probability": 0.90966796875}, {"start": 208.43, "end": 208.63, "word": " هذا", "probability": 0.8984375}, {"start": 208.63, "end": 209.07, "word": " الكلام", "probability": 0.9518229166666666}, {"start": 209.07, "end": 210.01, "word": " هنا", "probability": 0.77001953125}, {"start": 210.01, "end": 216.09, "word": " هنا", "probability": 0.79736328125}, {"start": 216.09, "end": 216.83, "word": " لكل", "probability": 0.9619140625}, {"start": 216.83, "end": 217.11, "word": " واحدة", "probability": 0.98388671875}, {"start": 217.11, "end": 217.25, "word": " من", "probability": 0.99609375}, {"start": 217.25, "end": 217.39, "word": " ال", "probability": 0.98095703125}, {"start": 217.39, "end": 217.81, "word": " case", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 8, "seek": 23899, "start": 218.19, "end": 238.99, "text": "من K بيساوي من I إلى J من I إلى J بتحسب ال total تبع ال K و بتشوف هل هو أقل من ال current minimum", "tokens": [27842, 591, 4724, 1829, 3794, 995, 45865, 9154, 286, 30731, 508, 9154, 286, 30731, 508, 39894, 5016, 35457, 2423, 3217, 6055, 3555, 3615, 2423, 591, 4032, 39894, 8592, 38688, 8032, 1211, 31439, 5551, 4587, 1211, 9154, 2423, 2190, 7285], "avg_logprob": -0.27050781771540644, "compression_ratio": 1.2521739130434784, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 218.19, "end": 218.47, "word": "من", "probability": 0.63232421875}, {"start": 218.47, "end": 218.71, "word": " K", "probability": 0.276611328125}, {"start": 218.71, "end": 219.35, "word": " بيساوي", "probability": 0.6794921875}, {"start": 219.35, "end": 220.59, "word": " من", "probability": 0.77783203125}, {"start": 220.59, "end": 220.97, "word": " I", "probability": 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في نفس الوقت لازم نسجل ال minimum value هذا حدث and انهي k", "tokens": [3615, 8592, 7649, 8717, 9566, 1211, 3615, 1975, 5016, 8315, 2423, 7285, 8717, 46538, 25894, 16095, 1975, 12610, 36764, 24401, 44945, 34268, 26890, 31439, 2423, 7285, 16712, 7649, 1829, 1975, 15730, 1975, 9381, 17082, 2288, 9154, 3224, 4724, 1829, 9381, 13546, 31439, 2423, 7285, 16712, 6027, 2655, 1975, 15730, 1975, 9381, 17082, 2288, 9154, 3224, 4724, 1829, 9381, 13546, 31439, 2423, 7285, 8717, 46538, 25894, 16095, 4032, 1975, 15730, 31439, 1975, 9381, 17082, 2288, 9154, 2190, 7285, 4724, 1829, 9381, 13546, 31439, 2423, 7285, 2158, 8978, 8717, 36178, 2423, 30543, 2655, 5296, 31377, 2304, 8717, 3794, 7435, 1211, 2423, 7285, 2158, 23758, 11331, 3215, 12984, 293, 16472, 3224, 1829, 350], "avg_logprob": -0.1844031544956001, "compression_ratio": 2.2275132275132274, "no_speech_prob": 3.5762786865234375e-07, "words": [{"start": 240.47, "end": 241.01, "word": "عشان", "probability": 0.8507486979166666}, {"start": 241.01, 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253.39, "end": 255.79, "word": " بيصير", "probability": 0.67681884765625}, {"start": 255.79, "end": 258.81, "word": " هو", "probability": 0.96484375}, {"start": 258.81, "end": 258.91, "word": " ال", "probability": 0.93505859375}, {"start": 258.91, "end": 259.07, "word": " minimum", "probability": 0.479736328125}, {"start": 259.07, "end": 259.41, "word": " value", "probability": 0.7509765625}, {"start": 259.41, "end": 259.91, "word": " في", "probability": 0.54150390625}, {"start": 259.91, "end": 260.11, "word": " نفس", "probability": 0.995361328125}, {"start": 260.11, "end": 260.63, "word": " الوقت", "probability": 0.9461263020833334}, {"start": 260.63, "end": 261.43, "word": " لازم", "probability": 0.9615885416666666}, {"start": 261.43, "end": 262.27, "word": " نسجل", "probability": 0.98193359375}, {"start": 262.27, "end": 263.07, "word": " ال", "probability": 0.74560546875}, {"start": 263.07, "end": 263.83, "word": " minimum", "probability": 0.9462890625}, {"start": 263.83, "end": 264.15, "word": " value", "probability": 0.99267578125}, {"start": 264.15, "end": 264.39, "word": " هذا", "probability": 0.599609375}, {"start": 264.39, "end": 265.29, "word": " حدث", "probability": 0.94970703125}, {"start": 265.29, "end": 265.59, "word": " and", "probability": 0.86669921875}, {"start": 265.59, "end": 265.99, "word": " انهي", "probability": 0.77783203125}, {"start": 265.99, "end": 266.19, "word": " k", "probability": 0.560546875}], "temperature": 1.0}, {"id": 10, "seek": 29702, "start": 267.52, "end": 297.02, "text": "ليش؟ لأن هذه الـ K هي اللي بنسجلها في الـ route table صح أو لا؟ احنا لما بنجي هنا و بنحسب ال minimum value هذا ال minimum value لكي نعرف عند أي route حصل و بنسجلها في ال route table فالـ K هي ال route و تتخزن ال K من هذه تتخزن في مين؟", "tokens": [20292, 8592, 22807, 5296, 33456, 29538, 2423, 39184, 591, 39896, 13672, 1829, 44945, 3794, 7435, 1211, 11296, 8978, 2423, 39184, 7955, 3199, 20328, 5016, 34051, 20193, 22807, 1975, 5016, 8315, 5296, 15042, 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"probability": 0.95458984375}, {"start": 278.74, "end": 278.98, "word": " أي", "probability": 0.8310546875}, {"start": 278.98, "end": 279.26, "word": " route", "probability": 0.94677734375}, {"start": 279.26, "end": 279.7, "word": " حصل", "probability": 0.987060546875}, {"start": 279.7, "end": 280.5, "word": " و", "probability": 0.517578125}, {"start": 280.5, "end": 281.46, "word": " بنسجلها", "probability": 0.926953125}, {"start": 281.46, "end": 281.74, "word": " في", "probability": 0.96630859375}, {"start": 281.74, "end": 281.92, "word": " ال", "probability": 0.951171875}, {"start": 281.92, "end": 282.42, "word": " route", "probability": 0.83154296875}, {"start": 282.42, "end": 282.76, "word": " table", "probability": 0.94384765625}, {"start": 282.76, "end": 284.98, "word": " فالـ", "probability": 0.6909993489583334}, {"start": 284.98, "end": 285.14, "word": " K", "probability": 0.8017578125}, {"start": 285.14, "end": 285.62, "word": " هي", "probability": 0.96826171875}, {"start": 285.62, "end": 286.44, "word": " ال", "probability": 0.93798828125}, {"start": 286.44, "end": 288.36, "word": " route", "probability": 0.9755859375}, {"start": 288.36, "end": 293.6, "word": " و", "probability": 0.19091796875}, {"start": 293.6, "end": 294.3, "word": " تتخزن", "probability": 0.87392578125}, {"start": 294.3, "end": 294.76, "word": " ال", "probability": 0.71875}, {"start": 294.76, "end": 294.96, "word": " K", "probability": 0.58740234375}, {"start": 294.96, "end": 295.14, "word": " من", "probability": 0.423828125}, {"start": 295.14, "end": 295.52, "word": " هذه", "probability": 0.74951171875}, {"start": 295.52, "end": 296.52, "word": " تتخزن", "probability": 0.95341796875}, {"start": 296.52, "end": 296.64, "word": " في", "probability": 0.97509765625}, {"start": 296.64, "end": 297.02, "word": " مين؟", "probability": 0.912109375}], "temperature": 1.0}, {"id": 11, "seek": 32533, "start": 297.54, "end": 325.34, "text": "في الـ root table R خلّي بالك ان ال algorithm بتطلعلي بتطلعلي بتطلع هذا ال average number of comparisons هو ال C هو ال main table انا بخزّن فيه ال C", "tokens": [41185, 2423, 39184, 5593, 3199, 497, 16490, 1211, 11703, 1829, 20666, 4117, 16472, 2423, 9284, 39894, 9566, 1211, 3615, 20292, 39894, 9566, 1211, 3615, 20292, 39894, 9566, 1211, 3615, 23758, 2423, 4274, 1230, 295, 33157, 31439, 2423, 383, 31439, 2423, 2135, 3199, 1975, 8315, 4724, 9778, 11622, 11703, 1863, 8978, 3224, 2423, 383], "avg_logprob": -0.2868923467618448, "compression_ratio": 1.4189189189189189, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 297.54, "end": 297.84, "word": "في", "probability": 0.407470703125}, {"start": 297.84, "end": 297.9, "word": " الـ", "probability": 0.719482421875}, {"start": 297.9, "end": 298.12, "word": " root", "probability": 0.176025390625}, {"start": 298.12, "end": 298.36, "word": " table", "probability": 0.75048828125}, {"start": 298.36, "end": 298.86, "word": " R", "probability": 0.59423828125}, {"start": 298.86, "end": 302.38, 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"word": " C", "probability": 0.9345703125}], "temperature": 1.0}, {"id": 12, "seek": 35431, "start": 326.53, "end": 354.31, "text": "تبعت كل sub-tree ومضى تطلعلي برضه ال R اللى هو ال root table هذا ال output تبع ال algorithm ففي الشق هذا بتروح بتحسب ال minimum و بتحسب ال root و بتسجل ال root اللى حصل عنده هذا ال minimum", "tokens": [2655, 3555, 34268, 28242, 1422, 12, 83, 701, 4032, 2304, 11242, 7578, 6055, 9566, 1211, 3615, 20292, 4724, 43042, 3224, 2423, 497, 13672, 7578, 31439, 2423, 5593, 3199, 23758, 2423, 5598, 6055, 3555, 3615, 2423, 9284, 6156, 41185, 25124, 4587, 23758, 39894, 32887, 5016, 39894, 5016, 35457, 2423, 7285, 4032, 39894, 5016, 35457, 2423, 5593, 4032, 39894, 3794, 7435, 1211, 2423, 5593, 13672, 7578, 11331, 36520, 43242, 3224, 23758, 2423, 7285], "avg_logprob": -0.3337673644224803, "compression_ratio": 1.6022727272727273, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 326.53, "end": 326.97, "word": "تبعت", "probability": 0.4678141276041667}, {"start": 326.97, "end": 327.39, "word": " كل", "probability": 0.93701171875}, {"start": 327.39, "end": 329.89, "word": " sub", "probability": 0.39794921875}, {"start": 329.89, "end": 330.23, "word": "-tree", "probability": 0.7252604166666666}, {"start": 330.23, "end": 332.23, "word": " ومضى", "probability": 0.3072967529296875}, {"start": 332.23, "end": 332.65, "word": " تطلعلي", "probability": 0.695458984375}, {"start": 332.65, "end": 332.93, "word": " برضه", "probability": 0.8115234375}, {"start": 332.93, "end": 333.55, "word": " ال", "probability": 0.5634765625}, {"start": 333.55, "end": 334.37, "word": " R", "probability": 0.23779296875}, {"start": 334.37, "end": 334.85, "word": " اللى", "probability": 0.6824951171875}, {"start": 334.85, "end": 335.17, "word": " هو", "probability": 0.90380859375}, {"start": 335.17, "end": 335.71, "word": " ال", "probability": 0.97900390625}, {"start": 335.71, "end": 335.93, "word": " root", "probability": 0.2371826171875}, {"start": 335.93, "end": 336.53, "word": " table", "probability": 0.7099609375}, {"start": 336.53, "end": 338.91, "word": " هذا", "probability": 0.3271484375}, {"start": 338.91, "end": 339.03, "word": " ال", "probability": 0.853515625}, {"start": 339.03, "end": 339.23, "word": " output", "probability": 0.919921875}, {"start": 339.23, "end": 339.51, "word": " تبع", "probability": 0.80712890625}, {"start": 339.51, "end": 339.61, "word": " ال", "probability": 0.9228515625}, {"start": 339.61, "end": 339.97, "word": " algorithm", "probability": 0.89404296875}, {"start": 339.97, "end": 343.31, "word": " ففي", "probability": 0.755859375}, {"start": 343.31, "end": 343.65, "word": " الشق", "probability": 0.875244140625}, {"start": 343.65, "end": 343.99, "word": " هذا", "probability": 0.499267578125}, {"start": 343.99, "end": 345.23, "word": " بتروح", "probability": 0.9397786458333334}, {"start": 345.23, "end": 345.79, "word": " بتحسب", "probability": 0.80517578125}, {"start": 345.79, "end": 348.35, "word": " ال", "probability": 0.95068359375}, {"start": 348.35, "end": 348.69, "word": " minimum", "probability": 0.97216796875}, {"start": 348.69, "end": 349.47, "word": " و", "probability": 0.71923828125}, {"start": 349.47, "end": 350.09, "word": " بتحسب", "probability": 0.91455078125}, {"start": 350.09, "end": 350.85, "word": " ال", "probability": 0.97314453125}, {"start": 350.85, "end": 351.21, "word": " root", "probability": 0.9189453125}, {"start": 351.21, "end": 351.89, "word": " و", "probability": 0.75146484375}, {"start": 351.89, "end": 352.35, "word": " بتسجل", "probability": 0.96728515625}, {"start": 352.35, "end": 352.49, "word": " ال", "probability": 0.986328125}, {"start": 352.49, "end": 352.67, "word": " root", "probability": 0.93408203125}, {"start": 352.67, "end": 353.09, "word": " اللى", "probability": 0.9814453125}, {"start": 353.09, "end": 353.59, "word": " حصل", "probability": 0.98291015625}, {"start": 353.59, "end": 353.83, "word": " عنده", "probability": 0.97607421875}, {"start": 353.83, "end": 353.99, "word": " هذا", "probability": 0.892578125}, {"start": 353.99, "end": 354.09, "word": " ال", "probability": 0.97265625}, {"start": 354.09, "end": 354.31, "word": " minimum", "probability": 0.982421875}], "temperature": 1.0}, {"id": 13, "seek": 38419, "start": 355.41, "end": 384.19, "text": "بس الـ Minimum هذا مش هو النهائي مش هو نهائي الحسبة الـ Minimum Value مش هو اللي بدي يتخزن مباشرة في الـ Table بدي ينضعف عليه بعدها كمين الـ Sum of Probabilities الـ Line هذا for S سوى I to J بدي يلف على ال Probabilities ويجمعهم عشان يضيفهم على الـ Minimum هذا الـ Minimum Value يضيف عليه ال Probabilities", "tokens": [3555, 3794, 2423, 39184, 2829, 332, 449, 23758, 37893, 31439, 28239, 3224, 16373, 1829, 37893, 31439, 8717, 3224, 16373, 1829, 21542, 35457, 3660, 2423, 39184, 2829, 332, 449, 39352, 37893, 31439, 13672, 1829, 4724, 16254, 7251, 2655, 9778, 11622, 1863, 3714, 3555, 33599, 25720, 8978, 2423, 39184, 25535, 4724, 16254, 7251, 1863, 11242, 3615, 5172, 47356, 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0.9894205729166666}, {"start": 381.75, "end": 382.15, "word": " Value", "probability": 0.98828125}, {"start": 382.15, "end": 382.95, "word": " يضيف", "probability": 0.8409830729166666}, {"start": 382.95, "end": 383.29, "word": " عليه", "probability": 0.95458984375}, {"start": 383.29, "end": 383.57, "word": " ال", "probability": 0.92919921875}, {"start": 383.57, "end": 384.19, "word": " Probabilities", "probability": 0.919677734375}], "temperature": 1.0}, {"id": 14, "seek": 41465, "start": 385.81, "end": 414.65, "text": "فهو بيجمع ال sum مع ال minimum و بيسجل هذا الكلام هو اللي بيسجل في ال table واضح؟ مرة أخرى برجع تاني عشان .. اذا كنتوا تهتموا اللي بيسجل في ال table اللي بيسجل في ال table هو أبعاد شقين ال sum of PS او probabilities زائد", "tokens": [5172, 3224, 2407, 4724, 1829, 7435, 2304, 3615, 2423, 2408, 20449, 2423, 7285, 4032, 4724, 1829, 3794, 7435, 1211, 23758, 2423, 28820, 10943, 31439, 13672, 1829, 4724, 1829, 3794, 7435, 1211, 8978, 2423, 3199, 4032, 46958, 5016, 22807, 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البخيل", "probability": 0.9767252604166666}], "temperature": 1.0}, {"id": 69, "seek": 197296, "start": 1945.92, "end": 1972.96, "text": "الـ Grade الطمع هي الطمع و قصر النظر في نفس الوجهة يعني انه بس بتطلع على حدود القريب منها يعني كل ال .. من عند كل vertex تطلع على ال vertices القريبة و بتاخد الأقرب و بتاخد الأكثر يعني و على هذا الأساس بتطلع الاش بتطلع ال minimum أو بتحل المثل", "tokens": [6027, 39184, 44452, 41950, 2304, 3615, 39896, 41950, 2304, 3615, 4032, 12174, 9381, 2288, 28239, 19913, 2288, 8978, 8717, 36178, 2423, 29245, 3224, 3660, 37495, 22653, 16472, 3224, 4724, 3794, 39894, 9566, 1211, 3615, 15844, 11331, 3215, 23328, 25062, 16572, 3555, 9154, 11296, 37495, 22653, 28242, 2423, 4386, 9154, 43242, 28242, 28162, 6055, 9566, 1211, 3615, 15844, 2423, 32053, 25062, 16572, 49401, 4032, 39894, 47283, 3215, 16247, 4587, 25513, 4032, 39894, 47283, 3215, 16247, 4117, 49115, 37495, 22653, 4032, 15844, 23758, 16247, 3794, 32277, 39894, 9566, 1211, 3615, 2423, 33599, 39894, 9566, 1211, 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0.982666015625}, {"start": 2039.34, "end": 2040.04, "word": " لخمسة", "probability": 0.94892578125}, {"start": 2040.04, "end": 2040.28, "word": " و", "probability": 0.97705078125}, {"start": 2040.28, "end": 2040.42, "word": " من", "probability": 0.8701171875}, {"start": 2040.42, "end": 2040.7, "word": " تسعة", "probability": 0.98583984375}, {"start": 2040.7, "end": 2041.46, "word": " لتلتاش", "probability": 0.791259765625}, {"start": 2041.46, "end": 2042.46, "word": " هدولة", "probability": 0.8543701171875}, {"start": 2042.46, "end": 2043.2, "word": " لامتحان", "probability": 0.830859375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2043.4024375, "duration_after_vad": 1929.8812499999947}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9f238b2f04186c5b1011934d54a8eddf1619e2d3
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/BkO1vrp0xlA_raw.srt
@@ -0,0 +1,1404 @@
+1
+00:00:21,240 --> 00:00:23,480
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,480 --> 00:00:28,380
+المرسلين اليوم احنا ان شاء الله تقريبا احنا خلصنا
+
+3
+00:00:28,380 --> 00:00:31,100
+.. كان اخر section وجفنا عنده اللي هو section
+
+4
+00:00:31,100 --> 00:00:35,580
+تمانية تلاتة ال optimal binary search trees و
+
+5
+00:00:35,580 --> 00:00:41,000
+تقريبا غطيناها كله فاليوم بدنا نبدأ في chapter
+
+6
+00:00:41,000 --> 00:00:45,000
+تسعة اللي هو موضوع جديد بس قبل ما نبدأ .. قبل ما
+
+7
+00:00:45,000 --> 00:00:48,960
+نبدأ بدنا نشوف ايش ضايل من موضوع ال optimal binary
+
+8
+00:00:48,960 --> 00:00:56,430
+search treeكننا اخر اشي خلصنا منه اللي هو وفهمنا
+
+9
+00:00:56,430 --> 00:01:01,650
+كيف ال two tables دولة بنكونهم ال table اللي هو ال
+
+10
+00:01:01,650 --> 00:01:05,550
+main table و التاني اللي هو ال root table ال main
+
+11
+00:01:05,550 --> 00:01:09,370
+table بيعطيني في الآخر ال value نهائي اللي هو ال
+
+12
+00:01:09,370 --> 00:01:13,840
+best averageأو الـ Average للـ Best Binary .. للـ
+
+13
+00:01:13,840 --> 00:01:17,140
+Optimal Binary Search Tree و الـ Root Table
+
+14
+00:01:17,140 --> 00:01:20,700
+بيعطيني الـ Roots اللي على أساسهم .. اللي على
+
+15
+00:01:20,700 --> 00:01:25,240
+أساسهم بتتكون هذه ال values فبنبدأ في تكوين ال
+
+16
+00:01:25,240 --> 00:01:28,660
+Tree من .. على أساس ال .. ال Root Table تكوين ال
+
+17
+00:01:28,660 --> 00:01:31,220
+Tree على أساس ال Root Table وشوفنا هذا الكلام
+
+18
+00:01:31,220 --> 00:01:37,520
+المحاضر الماضي اليوم بدنا نكمل نشوف ال algorithm
+
+19
+00:01:37,520 --> 00:01:40,180
+نفسه و بعد كده نطلع على ال efficiency تبع ال
+
+20
+00:01:40,180 --> 00:01:45,170
+algorithmالـ Algorithm نفسها بقدر أنا أجسمها إلى
+
+21
+00:01:45,170 --> 00:01:56,390
+تلات أجزاء أساسية اللي هو الـ Initialization و
+
+22
+00:01:56,390 --> 00:02:04,950
+بعد ذلك اللوب الكبير اللي
+
+23
+00:02:04,950 --> 00:02:17,580
+في بداخلها جسمينالجسم اللى بيحسب ال minimum والجسم
+
+24
+00:02:17,580 --> 00:02:23,580
+اللى بيضيف ال minimum على ال probabilities تذكروا
+
+25
+00:02:23,580 --> 00:02:29,260
+هذا الأمر أنه احنا هنا يوم ما بنيجي نحسب ال value
+
+26
+00:02:29,260 --> 00:02:36,020
+لأى cell ال value هذا بتكون من مجموع ال
+
+27
+00:02:36,020 --> 00:02:36,580
+probabilities
+
+28
+00:02:40,570 --> 00:02:46,090
+زائد ال minimum لكل واحدة من ال case كي واحد كي
+
+29
+00:02:46,090 --> 00:02:50,530
+اتنين او اذا اكتر اذا عندي مناسبة من C واحد الى C
+
+30
+00:02:50,530 --> 00:02:54,190
+الى تلاتة تمام حيبقى عندك كي واحد كي اتنين و كي
+
+31
+00:02:54,190 --> 00:02:57,330
+تلاتة فاحنا بنحسب ال minimum اللي هم دول ال case
+
+32
+00:02:57,330 --> 00:03:01,310
+كلهم بناخد ال minimum هذا بنجمعه على ال
+
+33
+00:03:01,310 --> 00:03:03,650
+probability ال probability هذه بتذكر في المحاضرة
+
+34
+00:03:03,650 --> 00:03:07,010
+الماضية انا طلعتها برا يعني جيتها حولت الكلام هذا
+
+35
+00:03:07,010 --> 00:03:13,150
+ان ال C ofone two بساوي ال probability أو sum sum
+
+36
+00:03:13,150 --> 00:03:18,930
+probability من I من I بساوي واحد إلى إلى J P of I
+
+37
+00:03:18,930 --> 00:03:23,930
+زائد ال minimum ال minimum ما بين كل ال case K
+
+38
+00:03:23,930 --> 00:03:28,430
+واحد K اتنين و K تلاتة فال algorithm عملية بتعمل
+
+39
+00:03:28,430 --> 00:03:36,090
+هذا الكلام هنا هنا
+
+40
+00:03:36,090 --> 00:03:43,030
+لكل واحدة من ال caseمن K بيساوي من I إلى J من I
+
+41
+00:03:43,030 --> 00:03:54,190
+إلى J بتحسب ال
+
+42
+00:03:54,190 --> 00:03:58,530
+total تبع ال K و بتشوف هل هو أقل من ال current
+
+43
+00:03:58,530 --> 00:04:03,530
+minimumعشان نطلع احنا ال minimum نلف عليهم اول
+
+44
+00:04:03,530 --> 00:04:06,070
+واحد بنعتبر هو ال minimum التاني اذا اصغر منه
+
+45
+00:04:06,070 --> 00:04:07,910
+بيصير هو ال minimum التالت اذا اصغر منه بيصير هو
+
+46
+00:04:07,910 --> 00:04:12,930
+ال minimum نلف عليهم و اذا هو اصغر من current
+
+47
+00:04:12,930 --> 00:04:18,810
+minimum بيصير هو
+
+48
+00:04:18,810 --> 00:04:23,830
+ال minimum value في نفس الوقت لازم نسجل ال minimum
+
+49
+00:04:23,830 --> 00:04:29,140
+value هذا حدث and انهي kليش؟ لأن هذه الـ K هي اللي
+
+50
+00:04:29,140 --> 00:04:34,380
+بنسجلها في الـ route table صح أو لا؟ احنا لما بنجي
+
+51
+00:04:34,380 --> 00:04:37,660
+هنا و بنحسب ال minimum value هذا ال minimum value
+
+52
+00:04:37,660 --> 00:04:42,420
+لكي نعرف عند أي route حصل و بنسجلها في ال route
+
+53
+00:04:42,420 --> 00:04:53,600
+table فالـ K هي ال route و
+
+54
+00:04:53,600 --> 00:04:58,860
+تتخزن ال K من هذه تتخزن في مين؟في الـ root table R
+
+55
+00:04:58,860 --> 00:05:02,380
+خلّي
+
+56
+00:05:02,380 --> 00:05:09,500
+بالك ان ال algorithm بتطلعلي بتطلعلي بتطلع
+
+57
+00:05:09,500 --> 00:05:14,500
+هذا
+
+58
+00:05:14,500 --> 00:05:21,620
+ال average number of comparisons هو ال C هو ال
+
+59
+00:05:21,620 --> 00:05:32,230
+main table انا بخزّن فيه ال Cتبعت كل sub-tree ومضى
+
+60
+00:05:32,230 --> 00:05:39,030
+تطلعلي برضه ال R اللى هو ال root table هذا ال
+
+61
+00:05:39,030 --> 00:05:43,310
+output تبع ال algorithm ففي
+
+62
+00:05:43,310 --> 00:05:51,890
+الشق هذا بتروح بتحسب ال minimum و بتحسب ال root و
+
+63
+00:05:51,890 --> 00:05:56,330
+بتسجل ال root اللى حصل عنده هذا ال minimumبس الـ
+
+64
+00:05:56,330 --> 00:06:00,330
+Minimum هذا مش هو النهائي مش هو نهائي الحسبة الـ
+
+65
+00:06:00,330 --> 00:06:03,230
+Minimum Value مش هو اللي بدي يتخزن مباشرة في الـ
+
+66
+00:06:03,230 --> 00:06:07,110
+Table بدي ينضعف عليه بعدها كمين الـ Sum of
+
+67
+00:06:07,110 --> 00:06:15,250
+Probabilities الـ Line هذا for S سوى I to J بدي
+
+68
+00:06:15,250 --> 00:06:20,010
+يلف على ال Probabilities ويجمعهم عشان يضيفهم على
+
+69
+00:06:20,010 --> 00:06:23,570
+الـ Minimum هذا الـ Minimum Value يضيف عليه ال
+
+70
+00:06:23,570 --> 00:06:28,170
+Probabilitiesفهو بيجمع ال sum مع ال minimum و
+
+71
+00:06:28,170 --> 00:06:34,410
+بيسجل هذا الكلام هو اللي بيسجل في ال table واضح؟
+
+72
+00:06:34,410 --> 00:06:38,870
+مرة أخرى برجع تاني عشان .. اذا كنتوا تهتموا اللي
+
+73
+00:06:38,870 --> 00:06:46,350
+بيسجل في ال table اللي بيسجل في ال table هو أبعاد
+
+74
+00:06:46,350 --> 00:06:55,450
+شقين ال sum of PS او probabilities زائدالشقة
+
+75
+00:06:55,450 --> 00:07:03,530
+التانية اللي هو ال minimum وهذا
+
+76
+00:07:03,530 --> 00:07:07,910
+اللي بيسويه ال algorithm في السطر هذا أو في الجزء
+
+77
+00:07:07,910 --> 00:07:12,750
+هذا السطر الأول يعني بتحسب ال sum و في السطر
+
+78
+00:07:12,750 --> 00:07:15,410
+التاني بتضيفه على ال minimum ال minimum اللي هو
+
+79
+00:07:15,410 --> 00:07:21,770
+حسبته في الجزء هنا خلاص؟ okay و بعد كده بتطلع ليه؟
+
+80
+00:07:22,760 --> 00:07:30,320
+التي هي الـ two tables الـ C و الـ R بالنسبة
+
+81
+00:07:30,320 --> 00:07:35,340
+للـ Efficiency تبعة الـ Algorithm في النهاية احنا
+
+82
+00:07:35,340 --> 00:07:39,740
+فيها تابل تتعبى سواء هذا التابل أو هذا التابل
+
+83
+00:07:39,740 --> 00:07:43,280
+والتابل تبعها أبعاد N في N أو N plus one في N plus
+
+84
+00:07:43,280 --> 00:07:51,500
+one صح؟ هي N زيادة الصفر و N زيادة الأخير N plus
+
+85
+00:07:51,500 --> 00:07:59,590
+one في N plus oneصح مش هيتعبّى الجزء هذا يعني نصه
+
+86
+00:07:59,590 --> 00:08:04,990
+هذا ال table جداش حجمه n square او n plus one
+
+87
+00:08:04,990 --> 00:08:13,410
+square نصه نص complexity بننظر على انها ايش على
+
+88
+00:08:13,410 --> 00:08:18,890
+انها n تربية مظبوط؟ لأن هل في best case و worst
+
+89
+00:08:18,890 --> 00:08:25,270
+case لأ فهي هتبقى ايش big thetaصح؟ هدا الكلام time
+
+90
+00:08:25,270 --> 00:08:30,190
+و أيضا space لأن ال space هو حجم ال table في ال
+
+91
+00:08:30,190 --> 00:08:35,270
+memory و ال time عدد العناصر، مظبوط؟ فال
+
+92
+00:08:35,270 --> 00:08:40,590
+complexity تبع ال algorithm هادي كوادراتك،
+
+93
+00:08:40,590 --> 00:08:46,810
+يعني تربية، N تربية في ال time و في ال space ماشي
+
+94
+00:08:46,810 --> 00:08:52,150
+الحال؟ okay طيب، من هذا ال sectionاحنا بدنا سؤال
+
+95
+00:08:52,150 --> 00:08:57,010
+رقم اتنين و تلاتة تسلموهم و الأسئلة من واحد لستة
+
+96
+00:08:57,010 --> 00:09:03,730
+هدولة للامتحان اذا انا احنا نكمل و نطلع على ال
+
+97
+00:09:03,730 --> 00:09:07,570
+chapter الجديد chapter تسعة اللي هو بتناول نوع اخر
+
+98
+00:09:07,570 --> 00:09:11,170
+من ال algorithmات اللي بتتبع حاجة اسمة greedy
+
+99
+00:09:11,170 --> 00:09:15,250
+technique greedy technique okay من هذا ال chapter
+
+100
+00:09:15,250 --> 00:09:17,890
+احنا بدنا اول تلاتة succession تسعة واحد تسعة
+
+101
+00:09:17,890 --> 00:09:26,020
+اتنين تسعة تلاتةتسعة واحد بتناول
+
+102
+00:09:26,020 --> 00:09:29,480
+خرزمية اسمها ال Prims Algorithm نطلع عليها الآن ان
+
+103
+00:09:29,480 --> 00:09:33,020
+شاء الله جابل تسعة واحد يعني المقدمة تبع chapter
+
+104
+00:09:33,020 --> 00:09:37,760
+تسعة فيها تمهيد انا هتجاوزه هدخل في تسعة واحد على
+
+105
+00:09:37,760 --> 00:09:43,120
+طول عشان نستوعب الفكرة الأساسية ال greedy
+
+106
+00:09:43,120 --> 00:09:45,820
+technique okay
+
+107
+00:09:47,160 --> 00:09:52,320
+طيب تسعة واحد اللي هو Prim's Algorithm بتتناول
+
+108
+00:09:52,320 --> 00:09:57,960
+مسألة اسمها ال minimum spanning tree problem إيش
+
+109
+00:09:57,960 --> 00:10:01,680
+يعني ال minimum spanning tree؟ بدنا نفهم إيش يعني
+
+110
+00:10:01,680 --> 00:10:04,460
+spanning tree؟ بدنا نفهم إيش يعني minimum spanning
+
+111
+00:10:04,460 --> 00:10:09,140
+tree؟ okay بعد هي كده بنشوف كيف ال algorithm
+
+112
+00:10:09,140 --> 00:10:13,820
+بتتعامل مع هذه ال problem okay spanning tree هي
+
+113
+00:10:13,820 --> 00:10:21,580
+عبارة عنلما بكون في عندي graph و
+
+114
+00:10:21,580 --> 00:10:26,080
+ال graph هذا connected اما نحنا نظريا ال graph
+
+115
+00:10:26,080 --> 00:10:30,700
+بالنسبة لنا مجموعة من ال vertices و مجموعة من ال
+
+116
+00:10:30,700 --> 00:10:34,960
+edges، مظبوط؟ يعني هذا ال graph أنا نظريا بتخيله
+
+117
+00:10:34,960 --> 00:10:41,880
+A, B, C, D هذه مجموعة ال ايش؟ ال vertices و ايش
+
+118
+00:10:41,880 --> 00:10:48,220
+مجموعة ال edges؟ في عندي edge من A ل Bو من A ل C و
+
+119
+00:10:48,220 --> 00:10:55,460
+من A ل D اظن فيه نعم و فيه من ايش من C ل D okay
+
+120
+00:10:55,460 --> 00:11:02,360
+فهذا نظريا الان لما انا بدأ ا مثله برسم ال notes
+
+121
+00:11:02,360 --> 00:11:06,920
+هذه و بعمل ال edges ما بينهم بشوف ال graph على هذا
+
+122
+00:11:06,920 --> 00:11:12,740
+الشكل okay الان ال graph لما بيكون connected ايش
+
+123
+00:11:12,740 --> 00:11:18,400
+معناه connected؟يعني كله كتلة واحدة تخيلي لو أنا
+
+124
+00:11:18,400 --> 00:11:29,480
+ال .. هذه ال edge شطبتها شطبتها أصبح في عندي ال a
+
+125
+00:11:29,480 --> 00:11:34,180
+و ال c و ال d كتلة و ال b لحالها كتلة مظبوط؟ صار
+
+126
+00:11:34,180 --> 00:11:38,500
+مش connected، ضاله graph لازال هو graph، لكن مش
+
+127
+00:11:38,500 --> 00:11:44,690
+connected صار في ..انشقاق يعني انفصل إلى شقين
+
+128
+00:11:44,690 --> 00:11:49,870
+وممكن يبقى اكتر من الشقين بس بيظلوا graph فإذا
+
+129
+00:11:49,870 --> 00:11:52,970
+كانت هذه graph وكان connected وكان undirected يعني
+
+130
+00:11:52,970 --> 00:11:59,690
+إيش undirected؟ يعني ال edge ايوة
+
+131
+00:11:59,690 --> 00:12:04,350
+لأ ال undirected إنه بيساوي إنه .. إن هذا مش
+
+132
+00:12:04,350 --> 00:12:11,060
+sorted a b و b a نفس الأشي يعنيالطريق هذه رايح جاي
+
+133
+00:12:11,060 --> 00:12:18,060
+ال H هذه ال directed انه لما يكون A بي فقط لا تعني
+
+134
+00:12:18,060 --> 00:12:24,300
+بي بي A فلما يكون graph و connected و undirected و
+
+135
+00:12:24,300 --> 00:12:28,240
+انا اقولك طلعيني ال spanning tree منه طلعيني منه
+
+136
+00:12:28,240 --> 00:12:31,520
+spanning tree ايش يعني spanning tree يعني لو انا
+
+137
+00:12:31,520 --> 00:12:37,820
+جيت اخدت واحدة من ال nodes او ال verticesأو اتدرجت
+
+138
+00:12:37,820 --> 00:12:42,600
+عبر ال edges المتصلة إبها وشكلت Tree ال Tree هذه
+
+139
+00:12:42,600 --> 00:12:48,000
+بتكون عبارة Asyclic Subgraph من ال Graph هدول
+
+140
+00:12:48,000 --> 00:12:52,880
+التلاتة Spanning Trees من هذا ال Graph كلهم Tree
+
+141
+00:12:52,880 --> 00:12:56,620
+صح؟ يعني أنا بتخيلهم هيك هاي ال A وهي Child اللي
+
+142
+00:12:56,620 --> 00:13:00,960
+هو ال B وهي Child تاني اللي هو ال D وهي Child تالت
+
+143
+00:13:00,960 --> 00:13:06,230
+اللي هو أو ال C متفرع من ال D صح؟أه يعني هو رسمهم
+
+144
+00:13:06,230 --> 00:13:11,210
+بنفس المضاهية أنا هنا رسمت على شكل ال tree okay
+
+145
+00:13:11,210 --> 00:13:14,910
+هنا ال a إلى two children ال b و ال c و ال c إلى
+
+146
+00:13:14,910 --> 00:13:17,930
+ال child اللي هو ال d هنا ال a إلى تلاتة children
+
+147
+00:13:17,930 --> 00:13:23,030
+فلو أنت بقصيتي على ال spanning tree هتلاقيها هي
+
+148
+00:13:23,030 --> 00:13:30,030
+نفس ال graph بس الله ما إلا بعض ال edges ممكن تكون
+
+149
+00:13:30,030 --> 00:13:36,730
+انحدثت يعني هنا ال edge هاد انحدثتصح؟ هنا الـedge
+
+150
+00:13:36,730 --> 00:13:41,590
+هذه الحدفات هنا الـedge هذه هناك في الآخر الحدفات
+
+151
+00:13:41,590 --> 00:13:46,850
+المهم إنها a cyclic sub graph a cyclic يعني مافيش
+
+152
+00:13:46,850 --> 00:13:51,270
+cycles مظبوط؟ و هي tree هي بدأت .. بدأت .. حطينا
+
+153
+00:13:51,270 --> 00:13:57,710
+node من ال nodes عليها root ومشينا .. وغطينا كل ال
+
+154
+00:13:57,710 --> 00:14:01,630
+vertices كل ال vertices لازم تبقى مشمولة في ال
+
+155
+00:14:01,630 --> 00:14:05,600
+spanning treeمارا عليكم مصطلح spanning tree قبل
+
+156
+00:14:05,600 --> 00:14:13,020
+هيك؟ طيب مش مشكلة فالمهم انه احنا لما ال graph ده
+
+157
+00:14:13,020 --> 00:14:19,800
+ال edges تبقى تبجألها cost اللي هي تكاليف بيصير
+
+158
+00:14:19,800 --> 00:14:23,120
+احنا طبعا ال graph زي ما احنا شايفين ال graph
+
+159
+00:14:23,120 --> 00:14:30,480
+الواحد ممكن يتولد منه multiple spanning treesالان
+
+160
+00:14:30,480 --> 00:14:34,560
+هيختلفوا في ال cost ال total cost تبع ال spanning
+
+161
+00:14:34,560 --> 00:14:41,080
+tree هي ال total cost تبع ال edges يعني هنا واحد و
+
+162
+00:14:41,080 --> 00:14:48,100
+اتنين و تلاتة اه ستة واحد و خمس و تلاتة تسعة واحد
+
+163
+00:14:48,100 --> 00:14:53,560
+و اتنين و خمسة تمانية فأصبحت الان ال problem هي to
+
+164
+00:14:53,560 --> 00:15:02,270
+find ال minimum spanning treeيعني given a graph an
+
+165
+00:15:02,270 --> 00:15:06,210
+undirected connected graph find ال minimum
+
+166
+00:15:06,210 --> 00:15:10,570
+spanning tree هذه
+
+167
+00:15:10,570 --> 00:15:13,050
+اسمها ال minimum spanning tree problem ال
+
+168
+00:15:13,050 --> 00:15:16,850
+algorithm تتعامل مع هذا ال problem بال style
+
+169
+00:15:16,850 --> 00:15:22,130
+greedy بالأسلوب ال greedy technique خلينا نطلع على
+
+170
+00:15:22,130 --> 00:15:28,050
+التقنية كيف تشتغلبسيطة جدا احنا نيجي على ال graph
+
+171
+00:15:28,050 --> 00:15:33,390
+و نبدأ من اي node اي vertex عشوائي يعني نبدأ احنا
+
+172
+00:15:33,390 --> 00:15:38,070
+نبدأ بال A و من ال A بنشوف مين المتصل ابها ب edges
+
+173
+00:15:38,070 --> 00:15:47,090
+و ناخد الأقل تكلفة و نضمها إلى يعني انا بدي تكون
+
+174
+00:15:47,090 --> 00:15:52,350
+في عندي هاي ال graph و بدي تكون في عندي لتري
+
+175
+00:15:54,400 --> 00:15:57,680
+الـ Tree هتكون متشكلة من .. أو خلّيني أجي هنا
+
+176
+00:15:57,680 --> 00:16:03,940
+متشكلة من ..
+
+177
+00:16:03,940 --> 00:16:11,980
+متشكلة من .. اللي هي ال vertices نفسها زائد مجموعة
+
+178
+00:16:11,980 --> 00:16:16,900
+من ال edges انا بدي أقول E Star
+
+179
+00:16:19,350 --> 00:16:25,850
+تدرجيًا نبدأ في واحدة، قول الـA، وبعدين نشوف مين
+
+180
+00:16:25,850 --> 00:16:31,470
+انضم إليها، تدرجيًا لما نضمهم كلهم، لأن الـtree زي
+
+181
+00:16:31,470 --> 00:16:36,270
+ما اتفاجنا تشتمل كافة ال vertices اللي في الجواف،
+
+182
+00:16:36,270 --> 00:16:42,330
+لا تستثنى أي واحدة، بينما ال edges ممكن نستثنى،
+
+183
+00:16:42,330 --> 00:16:48,870
+صح؟فالـ Algorithm بدأ تمشي على الـ vertices تبقى
+
+184
+00:16:48,870 --> 00:16:53,730
+للـ graph تبدأ من واحدة وتشوف من اللي ممكن تضم
+
+185
+00:16:53,730 --> 00:16:59,730
+معاها وبعدين تتوسع تدريجيا يعني شوي شوي تتوسع لحد
+
+186
+00:16:59,730 --> 00:17:08,010
+ما تضم كافة ال vertices فهذه تبدأ بالـ A وبتشوف من
+
+187
+00:17:08,010 --> 00:17:18,070
+الـ A إيش في vertices أخرى ممكنReachable يعني ممكن
+
+188
+00:17:18,070 --> 00:17:25,410
+تنتقل إليهم ففي انك Edge مباشرة على ال B تكلفتها
+
+189
+00:17:25,410 --> 00:17:32,030
+تلاتة وعلى ال F تكلفتها خمسة وعلى ال E تكلفتها ستة
+
+190
+00:17:32,030 --> 00:17:38,330
+صح؟ هذا الجوز بسجل التكلفة و بسجلالوصول إلى هذه
+
+191
+00:17:38,330 --> 00:17:42,570
+الـ node .. الوصول إلى هذه عبر مين؟ طب أنا A وعبر
+
+192
+00:17:42,570 --> 00:17:47,110
+A أحيانا قدام شوية هشوف أنه ممكن عبر node أخرى
+
+193
+00:17:47,110 --> 00:17:51,070
+المهم أن الآن الطلاع بس على التكلفة خلاص التكلفة
+
+194
+00:17:51,070 --> 00:17:55,470
+هنا إيش Infinity لأنه أنا من الـ A مافي عندي أي
+
+195
+00:17:55,470 --> 00:18:00,150
+وسيلة للوصول لا مباشر ولا غير مباشر للوصول إلى ال
+
+196
+00:18:00,150 --> 00:18:04,170
+nodes الأخرى هذه الـ C والـ D صح؟
+
+197
+00:18:06,650 --> 00:18:11,170
+ليش مافيش A غير مباشر؟ لأن هدولة اللي انا ممكن اصل
+
+198
+00:18:11,170 --> 00:18:15,170
+لل C عبرهم لسه مش جوا ال letter E ماصاروش جوا ال
+
+199
+00:18:15,170 --> 00:18:19,630
+letter E لما يصيروا جوا letter E وانا هنا A وهادي
+
+200
+00:18:19,630 --> 00:18:24,130
+جوا letter E بقدر اقول ان انا ممكن اصل ال letter C
+
+201
+00:18:24,130 --> 00:18:30,910
+غير مباشرة عبر ال F بس انا لان لسه ال A ومافيش في
+
+202
+00:18:30,910 --> 00:18:36,550
+ال letter E غيرهافأنا ما بقدر أصل إلا بس لهدولة،
+
+203
+00:18:36,550 --> 00:18:40,310
+هدولة مابقدرش أصلهم، الآن هاخد مين من التلاتة
+
+204
+00:18:40,310 --> 00:18:44,870
+هدولة؟ هاخد ال minimum، اللي هي ال B صارت الآن ال
+
+205
+00:18:44,870 --> 00:18:52,150
+B filetree، الان من ال B برضه بده أشوف .. بده أشوف
+
+206
+00:18:52,150 --> 00:18:57,510
+من المجاور إيه اللي ممكنأه ممكن من ال B أصل إلى ال
+
+207
+00:18:57,510 --> 00:19:03,130
+C مباشر مباشر هذا ال B يعني مباشر أنا في ال B و ده
+
+208
+00:19:03,130 --> 00:19:08,070
+أصل إلى ال C عبر ال B مباشر و بتكلفة واحد ال D
+
+209
+00:19:08,070 --> 00:19:16,050
+بقدرش أصللها صح ال D أنا في ال B صح بقدرش أصللها
+
+210
+00:19:16,050 --> 00:19:24,730
+لسه infinity ال E بقدر أصللهاأيوة عبر ال A ال A في
+
+211
+00:19:24,730 --> 00:19:30,570
+ال tree صح عبر ال A بتكلفة ستة ستة من ال A طبعا مش
+
+212
+00:19:30,570 --> 00:19:38,110
+total cost ستة من ال A بقدر أروح من ال B لأ ال F
+
+213
+00:19:38,110 --> 00:19:43,970
+مباشر مباشر أبقى أربعة أنا الآن مباشر ولا غير
+
+214
+00:19:43,970 --> 00:19:49,770
+مباشر بتطلع بس على ال cost ال cost اللي أجال ال
+
+215
+00:19:49,770 --> 00:19:57,560
+node ال nodeاللي ال course تبعتها أجال بضمها مين
+
+216
+00:19:57,560 --> 00:20:04,160
+الأجال؟ واحد، صح؟ تنزل ال C تنزل
+
+217
+00:20:04,160 --> 00:20:08,100
+ال C، لحظة أنه مش عارف مابين عندك الخط الغامج هذا
+
+218
+00:20:08,100 --> 00:20:14,180
+يشير إلى .. okay، هذا الآن المعلومة هذه لما سجلت
+
+219
+00:20:14,180 --> 00:20:18,600
+أنا ماسجلتش ال B لوحدها سجلت أيضا ال B دخلت عبر
+
+220
+00:20:18,600 --> 00:20:23,970
+مين؟أيوة هذه المعلومة هي معلومة الـ Edge هي اللي
+
+221
+00:20:23,970 --> 00:20:27,650
+بتقول ليه لأنه أنا بتشكل ال vertices و بتشكل ال
+
+222
+00:20:27,650 --> 00:20:36,850
+edges ال Edge هيتها BA واضح؟ نكمل لما نزلت ال C
+
+223
+00:20:36,850 --> 00:20:41,950
+لأن أنا و أنا على ال C بقدر أشوف هدي مباشر و هدي
+
+224
+00:20:41,950 --> 00:20:50,780
+مباشر صح؟ و بقدر أشوف ال E برضه عبر ال Aهي ال D
+
+225
+00:20:50,780 --> 00:20:54,580
+مباشر
+
+226
+00:20:54,580 --> 00:21:00,520
+بتكلفة 6 ال E عبر ال A بتكلفة 6 وال F بقدر أشوفه
+
+227
+00:21:00,520 --> 00:21:06,820
+بطريقتين مباشر و عبر ال B عبر
+
+228
+00:21:06,820 --> 00:21:13,140
+ال B أخد هو اللي عبر ال B واقع الأخر الطريقين
+
+229
+00:21:13,140 --> 00:21:18,460
+تكلفتهم نفس ال F4يعني لو بدأ شوفها مباشرة و أربعة
+
+230
+00:21:18,460 --> 00:21:22,360
+و لو بدأ أروح لها عبر الـP أربعة، نظبط؟ لما يكون
+
+231
+00:21:22,360 --> 00:21:27,720
+في عندي تساوي، باخد أي واحدة، مش هتفرق، okay؟ لما
+
+232
+00:21:27,720 --> 00:21:32,120
+يكون في عندي طريقين للوصول إلى نفس الـvertex و
+
+233
+00:21:32,120 --> 00:21:34,960
+الطريقين نفس التكلفة، باخد أي واحد منهم
+
+234
+00:21:34,960 --> 00:21:41,060
+arbitrarily، بشكل عشوائي بدون تفرقة، okay؟ الأربعة
+
+235
+00:21:41,060 --> 00:21:46,190
+هذه happens to be أنها الأقل، فأخدهاصار لان احنا
+
+236
+00:21:46,190 --> 00:21:51,530
+على ال F من ال F في
+
+237
+00:21:51,530 --> 00:22:00,590
+عندي ال D ال D مباشر بتكلفة خمسة و ال D بشوفها لأ
+
+238
+00:22:00,590 --> 00:22:06,690
+اسف و ال E مباشر بتكلفة اتنين تمام يمكن تنزل من
+
+239
+00:22:06,690 --> 00:22:09,650
+الأقل ال E
+
+240
+00:22:12,500 --> 00:22:20,700
+الـ D ولا الـ E بتنزل؟ من الأقل؟ الـ E تمام؟ الآن
+
+241
+00:22:20,700 --> 00:22:26,240
+أنا على الـ E عندي
+
+242
+00:22:26,240 --> 00:22:34,120
+طبعا خلي باكوا اللي بنزل هنا بيطلع من هنا عشان أنا
+
+243
+00:22:34,120 --> 00:22:37,980
+ماقعدش أدور عليهم فيهم كلهم خلاص اللي انا دخلتها
+
+244
+00:22:37,980 --> 00:22:43,290
+في ال tree بشطب عليها من ال graphالان كلهم دخلوا
+
+245
+00:22:43,290 --> 00:22:47,510
+بعد ال E ما تكون دخلة كلهم دخلوا مضالش الا ال D
+
+246
+00:22:47,510 --> 00:22:54,090
+مضالش الا ال D ف ال D انا بقدر اروحلها مباشر
+
+247
+00:22:54,090 --> 00:23:00,710
+بتكلفة اه
+
+248
+00:23:00,710 --> 00:23:06,130
+ال D بقدر اروحلها مباشر بتكلفة تمانية و بقدر
+
+249
+00:23:06,130 --> 00:23:13,460
+اروحلها عبر ال Fبتاكر في الخمسة فباخد ال F فبتنزل
+
+250
+00:23:13,460 --> 00:23:18,420
+و خلاص ماتما نزلت ماضلش إشي فبتنتهي ال algorithm
+
+251
+00:23:18,420 --> 00:23:28,800
+ال A نعد ل tree اللي نتجت بتكون هي minimum minimum
+
+252
+00:23:28,800 --> 00:23:41,970
+cost يعني ال edges هذه okay دي F دي GM الآخرEF ان
+
+253
+00:23:41,970 --> 00:23:50,150
+كان المفروض اسجلهم و احنا ماشيين FB صح CB و اللي
+
+254
+00:23:50,150 --> 00:23:54,030
+قبل ايش BA
+
+255
+00:23:54,030 --> 00:24:03,710
+اكم age واحد اتنين تلاتة اربعة خمسة اللي هم نعم
+
+256
+00:24:03,710 --> 00:24:08,010
+واحد اتنين تلاتة اربعة خمسة صح BA
+
+257
+00:24:11,000 --> 00:24:18,460
+CB CB و FB و
+
+258
+00:24:18,460 --> 00:24:22,100
+EF و
+
+259
+00:24:22,100 --> 00:24:28,080
+FD او DF okay الآن هذي Tree ولا مش Tree ايه ال
+
+260
+00:24:28,080 --> 00:24:30,980
+Tree احنا اخدنا ال A على انه هي اللي بتتدايم فهي
+
+261
+00:24:30,980 --> 00:24:40,600
+ال root صح بتفرع منها مين ال B ال Bمن ال B إيش
+
+262
+00:24:40,600 --> 00:24:46,640
+بتفرع ال C من ناحية و ال H و ال F من ناحية و ال F
+
+263
+00:24:46,640 --> 00:25:06,780
+بتفرع منها ال D و ال .. و ال H و ال E okay في
+
+264
+00:25:06,780 --> 00:25:09,220
+سؤال على ال .. okay
+
+265
+00:25:27,670 --> 00:25:35,210
+في حد عنده استفسار؟ نطلع
+
+266
+00:25:35,210 --> 00:25:40,230
+على الـ Algorithm بسيطة، أول شيء عندي ال vertices
+
+267
+00:25:40,230 --> 00:25:46,970
+وفي عندي ال edges Vt هذا اللي هو ال vertices اللي
+
+268
+00:25:46,970 --> 00:25:50,530
+تبعت ال tree اللي بدنا نشكلها و Et اللي هي ال
+
+269
+00:25:50,530 --> 00:25:55,860
+edges تبعت ال treeبداية اذا ما نضع V0 اللي هو اول
+
+270
+00:25:55,860 --> 00:26:00,920
+vertex نضعه في مين؟ في Vt و ال edges بتبقى فاضية
+
+271
+00:26:00,920 --> 00:26:05,940
+ال set مجموعة ال edges بتبقى فاضية احنا بدنا نمشي
+
+272
+00:26:05,940 --> 00:26:10,020
+من I أساوة واحد to عدد ال vertices اللي في V
+
+273
+00:26:10,020 --> 00:26:13,500
+الاصلية اللي تابعة لل graph ناقص واحد لان احنا
+
+274
+00:26:13,500 --> 00:26:18,520
+بدنا من واحد فبدنا نكمل للاخريات find a minimum
+
+275
+00:26:18,520 --> 00:26:27,220
+weight edge Eمن among all edges VU يعني احنا VU
+
+276
+00:26:27,220 --> 00:26:36,780
+هتبقى موجودة في في مجموعة ال edges في جرافتنا اللي
+
+277
+00:26:36,780 --> 00:26:49,970
+هم زي ما بدأنا هنا هي كل ال edges من Aمن a لكل
+
+278
+00:26:49,970 --> 00:26:53,890
+واحدة من ال other nodes ومن هنا ناخد ال minimum
+
+279
+00:26:53,890 --> 00:27:00,850
+نرجع تاني لل algorithm هذه الان v اللي انا واقف
+
+280
+00:27:00,850 --> 00:27:06,430
+عليها بدي اجيب كل ال nodes اللي بينهم وبينها edge
+
+281
+00:27:06,430 --> 00:27:13,020
+واخد ال minimum واسجل هذه ال edgeالـ edge هي عبارة
+
+282
+00:27:13,020 --> 00:27:19,060
+عن الـ E هنا E star هي عبارة عن الـ edge الأقصر ما
+
+283
+00:27:19,060 --> 00:27:24,000
+بين مين؟ ما بين كل ال edges اللي بتربط V اللي هي
+
+284
+00:27:24,000 --> 00:27:28,620
+ال vertex اللي أنا واقف عليه عشان أنا واقف هنا ما
+
+285
+00:27:28,620 --> 00:27:32,300
+أخد ال vertices واحد ورا التاني أنا واقف على V بدي
+
+286
+00:27:32,300 --> 00:27:36,060
+أشوف ما بين V وما بين كل ال other vertices اللي في
+
+287
+00:27:36,060 --> 00:27:42,860
+ال graph أشوف هذه ال edges أخد ال minimum okaysuch
+
+288
+00:27:42,860 --> 00:27:51,760
+that V is in VT and U is in هذا عبارة عن مين الفرق
+
+289
+00:27:51,760 --> 00:27:56,420
+ما بين يعني هذا عبارة عن مجموعة اللي لم يتم أخدها
+
+290
+00:27:56,420 --> 00:28:03,920
+بعد V ناقص VT إيش هم يعني زي أنا عندي VT و أنا
+
+291
+00:28:03,920 --> 00:28:10,260
+الآن ماخد A و B دخلين في ال tree و V اللي هم كلهم
+
+292
+00:28:15,330 --> 00:28:23,190
+يبقى H V نقص VT يبقى الباجين شيلة A وB من هنا يبقى
+
+293
+00:28:23,190 --> 00:28:26,250
+الباجين فاحنا دايما بندور في الباجين في اللي
+
+294
+00:28:26,250 --> 00:28:36,550
+مانضموش إلى ال letter E okay فاحنا نقعد فين على ال
+
+295
+00:28:36,550 --> 00:28:42,170
+node اللي في ال .. على ال node اللي في ال .. اللي
+
+296
+00:28:42,170 --> 00:28:45,940
+في ال letter Eوبشوف مابينها و مابين الـ other
+
+297
+00:28:45,940 --> 00:28:51,880
+nodes هدولة كدهش إيش فيه edges و كدهش ال cost أبقى
+
+298
+00:28:51,880 --> 00:28:57,320
+كل ال edge و بناخد ال minimum خلي
+
+299
+00:28:57,320 --> 00:29:03,260
+بالك إنه هنا إيش جال V is in Vt ماجالش بس V هي ال
+
+300
+00:29:03,260 --> 00:29:07,040
+node اللي أنا واقف عليها فقط كيف يعني؟ يعني لما
+
+301
+00:29:07,040 --> 00:29:07,880
+أنا هنا Gina
+
+302
+00:29:14,560 --> 00:29:20,120
+كان عندى انا هذه
+
+303
+00:29:20,120 --> 00:29:28,200
+مثلا ال E انا الان واجف على B يفترض انه من B بشوف
+
+304
+00:29:28,200 --> 00:29:34,620
+ال edges اللي بشوف ال notes المتصلة بها مباشرة لكن
+
+305
+00:29:34,620 --> 00:29:42,010
+لأ انا هنا ايضا شفت ال E E متصلة بمين؟ ب Aأيش اللي
+
+306
+00:29:42,010 --> 00:29:47,150
+سامحلي أني هشوف ال E كون ان ال A موجودة في ال
+
+307
+00:29:47,150 --> 00:29:54,250
+tree؟ يعني أنا عمليا بابحث كل ال vertices اللي هنا
+
+308
+00:29:54,250 --> 00:30:02,350
+بشوف من A .. هاي اللي ضايقين صح؟ من A إلى C، من A
+
+309
+00:30:02,350 --> 00:30:10,130
+إلى Dمن A إلى E من A إلى F بعدين من B إلى A أسف من
+
+310
+00:30:10,130 --> 00:30:17,470
+B إلى C من B إلى D من B إلى E من B إلى F يعني
+
+311
+00:30:17,470 --> 00:30:20,090
+عمليا أنا بدأ أشوف كل هدولة بدأ أخد ال minimum
+
+312
+00:30:20,090 --> 00:30:25,330
+مظبوط؟ يعني بدأ أشوف المتصلين باللي أنا واجه عليها
+
+313
+00:30:25,330 --> 00:30:30,390
+مباشرة وبدأ أشوف المتصلين بأي واحد أخر موجود كمان
+
+314
+00:30:30,390 --> 00:30:32,010
+في ال .. في ال tree
+
+315
+00:30:36,910 --> 00:30:43,470
+such that v is in vt و الطرف التاني هو vertex
+
+316
+00:30:43,470 --> 00:30:50,990
+موجودة في البجين okay إلى أن لما ألاقيها لما ألاقي
+
+317
+00:30:50,990 --> 00:30:56,250
+هذا ال edge الأفضل بروح بأضم main بأضم ال node
+
+318
+00:30:56,250 --> 00:31:03,410
+اللي هذا ال edge بتودين عليها اللي هي ال U star E
+
+319
+00:31:03,410 --> 00:31:07,640
+star هنا يعني ال edge الأفضل ال edge الأقلالـ edge
+
+320
+00:31:07,640 --> 00:31:13,000
+الأقل الطرف التاني تبعها هو U*) باضيفه على مين؟
+
+321
+00:31:13,000 --> 00:31:17,440
+على ال vertices تبع ال table تبع ال tree اسمه و
+
+322
+00:31:17,440 --> 00:31:22,120
+باضيف أيضا ال edge هذه على ال edges تبع ال tree
+
+323
+00:31:22,120 --> 00:31:30,640
+union okay هاي كل ال algorithm في الآخر في الآخر
+
+324
+00:31:30,640 --> 00:31:39,860
+أنا عايش ارجع ارجع Vt وال Etولا الاتنين؟ يعني ال
+
+325
+00:31:39,860 --> 00:31:44,840
+vertices تبقى تلتري؟ ولا ال edges تبقى تلتري؟ ولا
+
+326
+00:31:44,840 --> 00:31:50,420
+الاتنين؟ ال edges بس لإن هدولة هم أصلا .. هم تبقى
+
+327
+00:31:50,420 --> 00:31:54,860
+في ال graph صح ولا؟ فمش محتاج أرجح معروفين أنه أنا
+
+328
+00:31:54,860 --> 00:31:57,780
+كل اللي موجود في ال graph هو هيكون موجود أيضا في
+
+329
+00:31:57,780 --> 00:32:03,860
+ال tree بس برجع ال edges تبقى تلتري تمام
+
+330
+00:32:10,090 --> 00:32:14,830
+Okay الآن هذا المفهوم مفهوم greedy كلمة greedy في
+
+331
+00:32:14,830 --> 00:32:20,350
+اللغة يعني إيش البخيل أو
+
+332
+00:32:20,350 --> 00:32:26,340
+طماع صح طماع أقرب من البخيل ده ك stingy البخيلالـ
+
+333
+00:32:26,340 --> 00:32:30,580
+Grade الطمع هي الطمع و قصر النظر في نفس الوجهة
+
+334
+00:32:30,580 --> 00:32:36,340
+يعني انه بس بتطلع على حدود القريب منها يعني كل ال
+
+335
+00:32:36,340 --> 00:32:43,140
+.. من عند كل vertex تطلع على ال vertices القريبة و
+
+336
+00:32:43,140 --> 00:32:48,240
+بتاخد الأقرب و بتاخد الأكثر يعني و على هذا الأساس
+
+337
+00:32:48,240 --> 00:32:54,700
+بتطلع الاش بتطلع ال minimum أو بتحل المثلبقصر نظر
+
+338
+00:32:54,700 --> 00:33:02,180
+و بانه تميل الى الأفضل حاليا مالهاش بعض نظر على كل
+
+339
+00:33:02,180 --> 00:33:05,820
+ال .. يعني في بعض الحلقة .. في البداية رفيان دي
+
+340
+00:33:05,820 --> 00:33:10,920
+infinity مش شايفين ال .. ال vertices الأخرى جديش
+
+341
+00:33:10,920 --> 00:33:15,300
+تكلفتها فبناء على بس المعلومات المحيطة معلومات
+
+342
+00:33:15,300 --> 00:33:21,340
+التابعة ال vertices القريبة منها بتقرر okay؟
+
+343
+00:33:23,540 --> 00:33:26,240
+هذه هي الـ Algorithm، والـ Algorithm اللي بعدها
+
+344
+00:33:26,240 --> 00:33:30,060
+برضه بيتطرح هو نفس الأسلوب اللي هو الـ greedy و
+
+345
+00:33:30,060 --> 00:33:35,440
+لنفس المسألة، two algorithms سنشوف هذه، والتانية
+
+346
+00:33:35,440 --> 00:33:42,340
+اللي هي cross callبيعالجوا نفس ال minimum spanning
+
+347
+00:33:42,340 --> 00:33:46,200
+tree problem اماما احنا الان بنكون عمالين خلصنا ال
+
+348
+00:33:46,200 --> 00:33:50,520
+section تسعة واحد okay تسعة واحد فيه بدنا منه
+
+349
+00:33:50,520 --> 00:33:58,340
+مسئولتين اللي هي الأولى و التانية و الباقي خلي
+
+350
+00:33:58,340 --> 00:34:02,460
+بالك من عند واحد لخمسة و من تسعة لتلتاش هدولة
+
+351
+00:34:02,460 --> 00:34:03,200
+لامتحان
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9ec06e12bdb55c53ad4755abbf89bfc0c7d23b3f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg.srt
@@ -0,0 +1,1365 @@
+1
+00:00:20,920 --> 00:00:23,720
+ماشي الحال، بسم الله الرحمن الرحيم، الصلاة والسلام
+
+2
+00:00:23,720 --> 00:00:29,380
+علي أشرف المرسلين. اليوم، إحنا إن شاء الله بدنا نأخذ
+
+3
+00:00:29,380 --> 00:00:34,340
+خوارزمية متصلة بالـ iterative improvement، كان
+
+4
+00:00:34,340 --> 00:00:37,180
+موضوعنا إحنا المحاضرة الماضية الـ iterative
+
+5
+00:00:37,180 --> 00:00:41,220
+improvement، وشوفنا الـ linear programming problem
+
+6
+00:00:41,220 --> 00:00:48,350
+ومعالجتها بالـ simplex method، أه الـ simplex method و
+
+7
+00:00:48,350 --> 00:00:52,610
+الـ linear programming problem في الآخر الهدف كان
+
+8
+00:00:52,610 --> 00:00:56,150
+اللي هو أو كان الـ style هو أنه iterative
+
+9
+00:00:56,150 --> 00:01:02,230
+improvement، يعني تحسين البداية بـ solution.. ب
+
+10
+00:01:02,230 --> 00:01:09,010
+solution معين، وتحسين كل iteration، تحسين الـ
+
+11
+00:01:09,010 --> 00:01:11,930
+solution إلى أن نصل إلى الـ optimum، كانت
+
+12
+00:01:11,930 --> 00:01:16,150
+maximization problem. الآن، هنتطلع على نوع آخر من الـ
+
+13
+00:01:16,150 --> 00:01:20,790
+maximization أو من الـ algorithms اللي بتتعامل مع
+
+14
+00:01:20,790 --> 00:01:24,530
+الـ maximization، الـ algorithm اسمه الـ genetic
+
+15
+00:01:24,530 --> 00:01:29,390
+algorithm، وهي عبارة عن style من العمل، يعني هي في
+
+16
+00:01:29,390 --> 00:01:35,350
+حد ذاتها صنف، بس أيضا متصلة بالـ iterative
+
+17
+00:01:35,350 --> 00:01:40,150
+improvement، لأن أسلوبها في العمل بيشتغل بالتحسين
+
+18
+00:01:40,150 --> 00:01:42,570
+التدريجي إلى أن نصل للـ maximum.
+
+19
+00:01:46,350 --> 00:01:53,130
+بنطلع على مثال صغير. تذكروا كان عندنا في المحاضرة
+
+20
+00:01:53,130 --> 00:01:59,550
+الماضية، function كانت تلاتة X زائد خمسة Y، هذه الـ
+
+21
+00:01:59,550 --> 00:02:03,590
+function linear، مظبوط؟ أن هنا الـ function هذه
+
+22
+00:02:03,590 --> 00:02:05,050
+nonlinear، صح؟
+
+23
+00:02:09,590 --> 00:02:15,410
+15x ناقص x تربيع، لو إحنا بدنا نعمل maximization
+
+24
+00:02:15,410 --> 00:02:21,530
+لهذه الـ equation، يعني خلينا نقول f of x بتساوي هذا
+
+25
+00:02:21,530 --> 00:02:25,530
+الكلام، يعني بدنا ندور على قيمة الـ x، هنا متغير واحد
+
+26
+00:02:25,530 --> 00:02:31,250
+متغير واحد اللي هو الـ x، قيمة الـ x اللي بتحقق أعلى
+
+27
+00:02:31,250 --> 00:02:36,580
+value للـ f. الـ Genetic Algorithm Approach لـ
+
+28
+00:02:36,580 --> 00:02:43,160
+Maximization هو إنه إحنا بنيجي بنعمل set of مجموعة
+
+29
+00:02:43,160 --> 00:02:49,120
+من الـ Random Solutions وبنختبرها وبنشوف أصلح
+
+30
+00:02:49,120 --> 00:02:55,540
+الموجود، أصلح مجموعة فرعية منها، ومن هذه الأصلح
+
+31
+00:02:55,540 --> 00:03:00,580
+يعني بنعمل مجموعة أساسية، قولي مثلا عشرين solution
+
+32
+00:03:00,580 --> 00:03:06,480
+كلهم Random، بنقيمهم وبنطلع أحسن ربع، يعني أحسن خمسة.
+
+33
+00:03:06,480 --> 00:03:11,140
+ومن أحسن خمسة بنروح بنعمل generation لـ new عشرين
+
+34
+00:03:11,140 --> 00:03:17,140
+تانيات جداد من الخمسة، كل generation أو كل مجموعة
+
+35
+00:03:17,140 --> 00:03:21,640
+بتكون نفس العدد، عشرين، عشرين، عشرين. عملنا العشرين
+
+36
+00:03:21,640 --> 00:03:26,000
+الأولانيات عشوائية، أخدنا أصلح خمسة، من الأصلح خمسة
+
+37
+00:03:26,000 --> 00:03:29,520
+عملنا العشرين الجداد، العشرين الجداد هنعمل عليهم
+
+38
+00:03:29,520 --> 00:03:35,590
+نفس الأشياء، هنقيمهم وناخد أصلح خمسة ونكرر إلى أن
+
+39
+00:03:35,590 --> 00:03:43,790
+يصبح من الـ generation للي بعده ما فيش فرق، ما فيش فرق
+
+40
+00:03:43,790 --> 00:03:48,550
+يعني الأصلح هنا والأصلح هنا نفس الشيء، نفس
+
+41
+00:03:48,550 --> 00:03:54,550
+ما بيعطينيش أي تحسن، إحنا جايبنا نصل لتحسن.. بنعمل
+
+42
+00:03:54,550 --> 00:03:57,870
+تحسن تدريجي لحد ما نوصل للـ maximum. طب أنا جاي
+
+43
+00:03:57,870 --> 00:04:02,980
+بأعمل تحسين، بأعمل العملية وما بيجيش تحسن، يقول خلاص أنا
+
+44
+00:04:02,980 --> 00:04:08,740
+وصلت للـ maximum اللي يمكن الوصول إليه. خلينا نطلع
+
+45
+00:04:08,740 --> 00:04:12,380
+على هذا الكلام بشكل عملي كمثال، هاي الـ function
+
+46
+00:04:12,380 --> 00:04:18,340
+تابعتنا اللي بدنا نعملها maximization، بدنا
+
+47
+00:04:18,340 --> 00:04:23,540
+نعمل generation من ستة، من ستة
+
+48
+00:04:27,840 --> 00:04:36,680
+6 random solutions، X1، X6 يرمزوا إلى الـ solutions
+
+49
+00:04:36,680 --> 00:04:43,000
+كل solution يتكون من أربعة bits،  الأولى نقول جاي
+
+50
+00:04:43,000 --> 00:04:49,620
+1100، اللي بعده 0100، كل واحد من هدول عبارة عن
+
+51
+00:04:50,550 --> 00:04:54,730
+Solutions عشوائية. الآن كل رقم، كل binary
+
+52
+00:04:54,730 --> 00:05:00,470
+combination يمثلها أو يقابلها decimal integer، صح؟
+
+53
+00:05:00,470 --> 00:05:08,030
+يعني هذا 12، هذا 4، هذا 1، هذا 12، زي 1، زي 2، 14، صح؟
+
+54
+00:05:08,030 --> 00:05:13,490
+Okay، هذا الآن، هذا الآن هي القيم تبع الـ.. تبع الـ
+
+55
+00:05:13,490 --> 00:05:17,850
+random values للـ X. نأخذ كل واحدة منهم ونعوض في
+
+56
+00:05:17,850 --> 00:05:28,930
+في F. عند القيمة 12، F of X، جداش F of 12 بيساوي 15
+
+57
+00:05:28,930 --> 00:05:38,650
+في 12 ناقص 12 تربيع، اللي هي 12
+
+58
+00:05:38,650 --> 00:05:45,710
+تربيع اللي هي 144. إنت تطلع عليها كالتالي: 12 تربيع
+
+59
+00:05:45,710 --> 00:05:52,140
+هي 144، و أنا 15 في 12، 180 ناقص 144، 36.
+
+60
+00:05:52,140 --> 00:05:58,100
+يعني 36، صح؟ بدون ما أحسبها، دي جداش وأحسبها، دي جداش على طول 36. طب ماشي
+
+61
+00:06:01,200 --> 00:06:06,940
+الحال، اللي هو F في 4، 15
+
+62
+00:06:06,940 --> 00:06:12,760
+في 4 ناقص 4 تربيع، 16. ماشي، هذه لحالها
+
+63
+00:06:12,760 --> 00:06:18,850
+60 ولا لأ؟ ناقص 16، 44، مظبوط؟ الآن
+
+64
+00:06:18,850 --> 00:06:22,330
+هاد الـ.. إحنا.. إحنا هدفنا أو هدفنا في الـ..
+
+65
+00:06:22,330 --> 00:06:26,610
+يعني هدفنا اللي هو أعلى قيمة، okay؟ فمن الطبيعي
+
+66
+00:06:26,610 --> 00:06:29,530
+هاد أعلى قيمة، بس إحنا مش عارفين، يمكن لسه في أعلى
+
+67
+00:06:29,530 --> 00:06:33,790
+منها، يمكن لسه في أعلى عامة، فبنعمل.. بناخد هدول،
+
+68
+00:06:33,790 --> 00:06:37,670
+بنعمل منهم generation جديد، وبشوف اللي ربما يطلع
+
+69
+00:06:37,670 --> 00:06:42,750
+معايا.. يطلع معايا شيء أعلى من الـ.. من الـ 56. الآن
+
+70
+00:06:42,750 --> 00:06:51,610
+هذه الأرقام هي الـ fitness measure، هي مقياس من
+
+71
+00:06:51,610 --> 00:06:57,810
+الأصلح في هذه الـ solutions هو اللي أعلى value، صح؟
+
+72
+00:06:58,090 --> 00:07:02,130
+الآن إحنا مش هننظر إلى هذه القيمة، هنأخذ من هذه
+
+73
+00:07:02,130 --> 00:07:05,910
+هنأخذ منها حاجة اسمها الـ fitness ratio، الـ fitness
+
+74
+00:07:05,910 --> 00:07:11,070
+ratio هو باختصار، كل قيمة من هذه القيمة، أول شيء
+
+75
+00:07:11,070 --> 00:07:16,410
+بنجمع المجموع كله، يعني الـ 36 والـ 44، جداش بيطلع؟ 36 و
+
+76
+00:07:16,410 --> 00:07:26,810
+44.. 70.. 80.. 28.. 110.. جداش؟
+
+77
+00:07:30,460 --> 00:07:33,680
+ثمانية مائة وثمانية وثمانية وثمانية وثمانية و
+
+78
+00:07:33,680 --> 00:07:39,360
+ثمانية
+
+79
+00:07:39,360 --> 00:07:42,320
+وثمانية وثمانية وثمانية وثمانية وثمانية و
+
+80
+00:07:42,320 --> 00:07:42,340
+ثمانية وثمانية وثمانية وثمانية وثمانية و
+
+81
+00:07:42,340 --> 00:07:42,380
+ثمانية وثمانية وثمانية وثمانية وثمانية و
+
+82
+00:07:42,380 --> 00:07:42,660
+ثمانية وثمانية وثمانية وثمانية وثمانية و
+
+83
+00:07:42,660 --> 00:07:42,760
+ثمانية وثمانية وثمانية وثمانية وثمانية و
+
+84
+00:07:42,760 --> 00:07:44,600
+ثمانية وثمانية وثمانية وثمانية وثمانية و
+
+85
+00:07:44,600 --> 00:07:45,240
+ثمانية وثمانية وثمانية وثمانية وثمانية و
+
+86
+00:07:45,240 --> 00:07:50,920
+ثمانية وثمانية وثمانية و
+
+87
+00:07:50,920 --> 00:07:54,750
+ثمانية و...Okay، الـ ratio ده إيه له دور في الكلام
+
+88
+00:07:54,750 --> 00:07:58,270
+اللي.. الخطوة اللاحقة، وهي إن عملية الـ.. إحنا
+
+89
+00:07:58,270 --> 00:08:01,190
+بدنا نأخذ أفضل مجموعة.. أفضل مجموعة فرعية من الـ
+
+90
+00:08:01,190 --> 00:08:05,270
+..okay؟ بدنا نأخذ أفضل مجموعة ونولد.. ونولد
+
+91
+00:08:05,270 --> 00:08:10,090
+منهم، generate a new set.. a new generation of
+
+92
+00:08:10,090 --> 00:08:17,010
+solutions، okay؟ عملية توليد الـ generation الجديد
+
+93
+00:08:17,010 --> 00:08:20,150
+بتتم من خلال حاجة اسمها genetic operators.
+
+94
+00:08:25,540 --> 00:08:29,600
+operators، عمليات، يعني في حاجة عملية اسمها crossover
+
+95
+00:08:29,600 --> 00:08:33,200
+في
+
+96
+00:08:33,200 --> 00:08:40,560
+عملية أخرى اسمها mutation. الـ crossover
+
+97
+00:08:40,560 --> 00:08:48,200
+ببساطة، إن إحنا بنيجي على two parents، افترض لأ
+
+98
+00:08:48,200 --> 00:08:53,210
+خلينا نشوف مين أصلح اثنين، لهم قيمة، zero واحد واحد
+
+99
+00:08:53,210 --> 00:08:58,690
+واحد، والتاني واحد زيرو زيرو واحد، وبروح بعمل نقطة
+
+100
+00:08:58,690 --> 00:09:07,170
+فصل، وبناخد الجزء الأولاني من هذا، الآن هذا الآن
+
+101
+00:09:07,170 --> 00:09:11,070
+نسمي
+
+102
+00:09:11,070 --> 00:09:15,610
+parent one، وهذا parent two، بنطلع منهم الـ child one
+
+103
+00:09:15,610 --> 00:09:18,890
+والـ child two، تمام؟
+
+104
+00:09:21,460 --> 00:09:26,680
+Child 1 بيكون نص الـ parent الأول مع نص التاني من
+
+105
+00:09:26,680 --> 00:09:36,720
+الـ parent التاني، واضح؟
+
+106
+00:09:36,720 --> 00:09:44,840
+أخدت نص من هنا مع نص من هنا، okay، هيك أنا عملت
+
+107
+00:09:44,840 --> 00:09:48,960
+cross over ما بين two parents عشان أطلع two
+
+108
+00:09:48,960 --> 00:09:49,420
+children.
+
+109
+00:09:51,970 --> 00:09:55,250
+وبسوي الكلام، هيطلع معايا اثنين، أنا الـ generation
+
+110
+00:09:55,250 --> 00:09:59,950
+كله ستة، بدي ستة، يعني بدي أعمل كمان اثنين وكمان
+
+111
+00:09:59,950 --> 00:10:06,650
+اثنين، واضح؟ نأخذ الأصلح وبنعمل منهم الـ children.
+
+112
+00:10:06,650 --> 00:10:10,770
+يفترض الآن هدول الـ children، لأنهم جايين من الأصلح
+
+113
+00:10:10,770 --> 00:10:15,150
+أن يكونوا المجموعة
+
+114
+00:10:15,150 --> 00:10:18,850
+هذه الستة الجداد أفضل من الستة الأولانين، أفضل
+
+115
+00:10:18,850 --> 00:10:26,630
+بالمجمل يعني، واضح؟ يعني مثلا تطلع إيه؟
+
+116
+00:10:32,680 --> 00:10:36,940
+طلع هاي الرسمة، هاد، معلش صغير الكلام فيها، بس لو
+
+117
+00:10:36,940 --> 00:10:40,380
+لاحظت، هاي الـ generation الأولاني، بعد ما دارت
+
+118
+00:10:40,380 --> 00:10:43,820
+الدارة وعملنا generation جديد، طلع الأرقام اللي
+
+119
+00:10:43,820 --> 00:10:47,540
+هنا، فيه عندك اثنين في الخمسينات، واحد في
+
+120
+00:10:47,540 --> 00:10:49,880
+الأربعينات، واحد في الثلاثينات، واحد في العشرات،
+
+121
+00:10:49,880 --> 00:10:55,100
+صح؟ الجيل الجديد، فيه عندي أربعة في الخمسينات واثنين في
+
+122
+00:10:55,100 --> 00:10:58,380
+الأربعينات، وما فيش ثلاثينات وعشرات، يبقى بالمجمل
+
+123
+00:10:58,380 --> 00:11:03,820
+هدول أصلح من اللي قبلهم، ويفترض أن التحسن هذا من
+
+124
+00:11:03,820 --> 00:11:09,500
+جيل لجيل يستمر إلى أن أصل إلى أن والله الجيل
+
+125
+00:11:09,500 --> 00:11:15,620
+الجديد ما فيش تحسن كبير يذكر، يعني ما بينه وما بين
+
+126
+00:11:15,620 --> 00:11:19,700
+اللي قبله، ويبقى خلاص نعتبر هذا هو الـ maximum. نرجع
+
+127
+00:11:19,700 --> 00:11:23,260
+ثاني، لأن عشان برضه نشوف عملية الـ crossover، شوفنا
+
+128
+00:11:23,260 --> 00:11:27,560
+الـ crossover، عشان نشوف الـ mutation، الـ mutation هي
+
+129
+00:11:27,560 --> 00:11:31,440
+ببساطة، طالع على الرسمة هذه، في رسمة ثانية أوضح منها
+
+130
+00:11:31,440 --> 00:11:35,460
+قبل هيتها، الـ mutation، إنه إحنا هاي الـ generation
+
+131
+00:11:35,460 --> 00:11:38,940
+الجديد، بعد عملية الـ crossover، بعد ما ولدنا الـ
+
+132
+00:11:38,940 --> 00:11:44,060
+children الجداد، روحنا جينا قلنا بـ.. برضه بـ
+
+133
+00:11:44,060 --> 00:11:51,010
+probability، يعني بعشوائية، اخترنا واحد واخترنا واحدة
+
+134
+00:11:51,010 --> 00:11:57,010
+من الـ bits وجلبناها، هذا الواحد كان كلهم ones
+
+135
+00:11:57,010 --> 00:12:01,210
+فأُنجلِبَت الـ one إلى zero، وأصبح one zero one one.
+
+136
+00:12:01,210 --> 00:12:04,770
+هذا الـ mutation، في اللغة يعني طفرة، طفرة في الـ
+
+137
+00:12:04,770 --> 00:12:08,770
+biology، إن واحد من الجينات يتصر عليه تغيير غير
+
+138
+00:12:08,770 --> 00:12:18,160
+متوقع، وبقيمة بعيدة عن القيمة السابقة. Okay، فهذا هو
+
+139
+00:12:18,160 --> 00:12:21,820
+المقصود بالـ mutation. هنا عندنا إنه واحد من الـ..
+
+140
+00:12:21,820 --> 00:12:24,760
+هدول برضه اسمه جينات، على فكرة إحنا يعني الـ
+
+141
+00:12:24,760 --> 00:12:27,260
+solution الواحد بلغة الـ.. بلغة الـ genetic
+
+142
+00:12:27,260 --> 00:12:31,460
+algorithm، الـ solution الواحد بنسميه chromosome و
+
+143
+00:12:31,460 --> 00:12:38,530
+الـ bit الواحد ده بنسميه gene، okay، gene زي يعني الـ
+
+144
+00:12:38,530 --> 00:12:41,910
+mutation هي إن واحد من الـ genes هذا يتعمل عليه
+
+145
+00:12:41,910 --> 00:12:45,930
+تغيير عشوائي، عندي أنا هنا الجينات كلها binary،
+
+146
+00:12:45,930 --> 00:12:48,810
+يعني zeros و ones، فلما واحد بده يتغير، بده يتغير
+
+147
+00:12:48,810 --> 00:12:51,550
+من إيش لإيش، يا ما هو zero يصبح one، يا ما one يصبح
+
+148
+00:12:51,550 --> 00:12:55,150
+zero، لكن في بعض الـ problems الجينات هذه ممكن تبقى
+
+149
+00:12:55,150 --> 00:13:00,970
+أرقام عشرية أو أحرف، فممكن إيش التغيير يبقى من أي
+
+150
+00:13:00,970 --> 00:13:04,630
+رقم فيها إلى.. من أي رقم من الأرقام المسموحة إلى
+
+151
+00:13:04,630 --> 00:13:08,150
+رقم آخر. المهم، هي مفهوم الـ cross.. واضح إيش يعني
+
+152
+00:13:08,150 --> 00:13:11,810
+crossover، واضح إيش يعني mutation، okay، لأن هدول
+
+153
+00:13:11,810 --> 00:13:16,050
+العمليتين بيـ.. يعني حتى لأن كل الـ.. الـ algorithm
+
+154
+00:13:16,050 --> 00:13:20,750
+عشوائي، في عشوائي، بس اللي بيحصل إنه في شوية.. يعني
+
+155
+00:13:20,750 --> 00:13:24,950
+الـ.. الانضباط الوحيد في الشغل هنا إنه بتتم
+
+156
+00:13:24,950 --> 00:13:32,070
+الاختيار، الأصلح زاد كمان إنه إحنا الـ..
+
+157
+00:13:35,470 --> 00:13:39,290
+الـ crossover، هي الـ crossover واضحة زي ما ضربت
+
+158
+00:13:39,290 --> 00:13:47,690
+المثال، أنا هنا إنه هي X6 وX2، على النص، أخذنا الشق
+
+159
+00:13:47,690 --> 00:13:52,710
+هذا، okay، أخذنا الشق هذا وحطينا هنا، وهذا حطينا
+
+160
+00:13:52,710 --> 00:13:54,530
+بداله، فطلع معايا واحد.
+
+161
+00:14:12,840 --> 00:14:16,180
+ملاحظة أخرى، إن الـ crossover point ممكن تيجي في
+
+162
+00:14:16,180 --> 00:14:21,280
+النص أو في أي مكان، تمام؟ وممكن تبقى مش بس crossover
+
+163
+00:14:21,280 --> 00:14:24,240
+point واحدة، ممكن تبقى اثنين، يعني ينجسم الـ
+
+164
+00:14:24,240 --> 00:14:29,220
+chromosome إلى ثلاثة أجسام، ماشي، ويستم تبديل واحد من
+
+165
+00:14:29,220 --> 00:14:39,180
+هنا مع واحد من هناك، واضح؟ في شغل نرجع إحنا اللي هي
+
+166
+00:14:39,180 --> 00:14:45,090
+الـ roulette wheel selection. أول شيء، الـ slides هنا
+
+167
+00:14:45,090 --> 00:14:48,530
+حسبنا الـ ratio، هي الـ fitness، حسبنا الـ fitness و
+
+168
+00:14:48,530 --> 00:14:52,450
+بعدين طلعنا منه الـ ratio، صح؟ الـ ratio هذا بيكون
+
+169
+00:14:52,450 --> 00:14:56,790
+أساس لعملية اختيار مين الـ parents اللي هنعمل
+
+170
+00:14:56,790 --> 00:15:01,690
+عليها crossover عشان نطلع لـ new children. الـ roulette
+
+171
+00:15:01,690 --> 00:15:10,670
+wheel هذه جاي على أساس الـ ratios، هتلاقي إنه الـ
+
+172
+00:15:10,670 --> 00:15:16,350
+chromosome اللي الـ ratio تبعه عالي، هي هذا الأسود
+
+173
+00:15:16,350 --> 00:15:21,170
+هيتها، والأخضر هيتها، هيبقى مساحته أو حصته في الـ wheel
+
+174
+00:15:21,170 --> 00:15:27,790
+
+223
+00:19:51,010 --> 00:19:54,770
+فكذلك الحال، أي من الـ bits اللي بدها تتعمل عليها؟
+
+224
+00:19:54,770 --> 00:19:58,650
+الـ mutation يعني خلاص أنا عملنا random number وطلع
+
+225
+00:19:58,650 --> 00:20:02,330
+أقل من واحد في المئة، فقررنا أن هذا بدنا نعمل عليه
+
+226
+00:20:02,330 --> 00:20:06,990
+mutation، طيب أي bit برضه بتختار randomly؟  Randomly
+
+227
+00:20:06,990 --> 00:20:10,590
+بتختار واحدة من الأربعة، أو إذا كان الـ chromosome
+
+228
+00:20:10,590 --> 00:20:16,110
+أطول، واحدة منهم بتختار randomly عشان نعمل
+
+229
+00:20:16,110 --> 00:20:22,270
+عليه mutation، تمام؟ فأصبح الآن الـ cycle ... الـ ... الـ
+
+230
+00:20:22,270 --> 00:20:26,010
+... الـ ... الـ ... الـ genetic algorithm، الـ cycle تبعها
+
+231
+00:20:26,010 --> 00:20:32,330
+أعتقد صارت واضحة الآن. أول حاجة، بيتم تشكيل اللي هو
+
+232
+00:20:32,330 --> 00:20:35,950
+الـ first generation، وهذا بيتم تشكيله randomly.
+
+233
+00:20:35,950 --> 00:20:40,050
+ما فيش parents أصلاً اللي نعمل منها، نعمل عليها
+
+234
+00:20:40,050 --> 00:20:44,050
+crossover عشان نولد ... بنعمله randomly، بنعمل إيش؟
+
+235
+00:20:44,050 --> 00:20:50,530
+ثاني شيء؟ بنعمل evaluation، الـ F هنا evaluation لكل
+
+236
+00:20:50,530 --> 00:20:53,710
+واحد منهم. هذا أحياناً الـ F نسميها الـ fitness
+
+237
+00:20:53,710 --> 00:20:58,210
+function، okay؟ بين حسب الـ fitness، الـ fitness
+
+238
+00:20:58,210 --> 00:21:03,850
+يعني إيش؟ مين أصلح؟ okay، بناء على الـ fitness، بين
+
+239
+00:21:03,850 --> 00:21:09,990
+حسب الـ fitness ratio. بناءً على الـ fitness ratio بتستخدم
+
+240
+00:21:09,990 --> 00:21:15,070
+الـ roulette wheel عشان يتم اختيار أزواج من هذا الـ
+
+241
+00:21:15,070 --> 00:21:21,350
+generation عشان نعمل عليهم crossover عشان
+
+242
+00:21:21,350 --> 00:21:27,810
+نطلع new children. طلعنا اثنين ثم اثنين ثم اثنين
+
+243
+00:21:27,810 --> 00:21:31,510
+إلى أن يكتمل العدد اللازم اللي هو، جديش هنا؟ ستة.
+
+244
+00:21:31,510 --> 00:21:36,320
+بنعمل زيهم ستة. عملنا ستة من خلال الـ crossover.
+
+245
+00:21:36,320 --> 00:21:40,880
+عملنا ستة الآن، بدنا نطبق الـ mutation. بنعمل برضه
+
+246
+00:21:40,880 --> 00:21:46,580
+randomly. بنعمل mutation على نسبة ضئيلة من ... منهم.
+
+247
+00:21:46,580 --> 00:21:52,660
+okay، هذا الآن بعد الـ mutation بيصبح generation I
+
+248
+00:21:52,660 --> 00:21:57,400
+plus one. إيش بنعمل عليها ده؟ بنعيد الكرة، اللي هي
+
+249
+00:21:57,400 --> 00:22:00,720
+بتبدأ من الـ fitness calculation. بنحسب الـ fitness
+
+250
+00:22:00,720 --> 00:22:04,780
+تبعهم، وبنختار، وبن ... وبنعمل generation لها a
+
+251
+00:22:04,780 --> 00:22:05,000
+new.
+
+252
+00:22:07,890 --> 00:22:16,370
+ونستمر إلى متى؟ لما بنعمل حسْبة، بنعمل طريقة اللي
+
+253
+00:22:16,370 --> 00:22:21,570
+بتقارن هدول الـ values معاها، هدول السابقة،
+
+254
+00:22:21,570 --> 00:22:25,390
+وهذا اللاحق، صح؟ آه، يعني ممكن نيجي نعمل مثلاً some
+
+255
+00:22:25,390 --> 00:22:28,270
+of absolute differences. كيف يعني some of absolute
+
+256
+00:22:28,270 --> 00:22:31,770
+differences؟ هذا نقص اللي عجباله، كل واحد نقص اللي
+
+257
+00:22:31,770 --> 00:22:35,150
+عجباله، هاي الـ differences وبناخد الـ absolute
+
+258
+00:22:35,150 --> 00:22:36,870
+وبنجمع
+
+259
+00:22:38,170 --> 00:22:41,590
+كل ما كان هدول مشابهين لهدول بيكون الـ difference
+
+260
+00:22:41,590 --> 00:22:46,670
+صغير. ممكن sum of absolute أو sum of squares، يعني
+
+261
+00:22:46,670 --> 00:22:52,250
+نربع الـ differences، فبيطلع معاه رقم واحد. الرقم
+
+262
+00:22:52,250 --> 00:22:58,390
+هذا كل ما اقترب من الـ zero كل ما كان الفرق بسيط أو
+
+263
+00:22:58,390 --> 00:23:03,950
+ضئيل. Okay، مش بس هيك، احنا ممكن نعمل، نعقد المثال هذا
+
+264
+00:23:03,950 --> 00:23:07,850
+مش على أساس من generation للي بعده، لأ، في حاجة اسمها
+
+265
+00:23:07,850 --> 00:23:11,030
+الـ epoch، الـ epoch اللي هي الحقبة الزمنية، يعني
+
+266
+00:23:11,030 --> 00:23:13,570
+مجموعة من الـ iterations، يعني مثلاً كل 100
+
+267
+00:23:13,570 --> 00:23:17,330
+iterations هيتعتبر حقبة، أو كل 20 أو 50 iterations
+
+268
+00:23:17,330 --> 00:23:22,760
+هيتعتبر حقبة. يعني الـ algorithm تمشي 100، وكمان 100،
+
+269
+00:23:22,760 --> 00:23:26,580
+وكمان 100. كل هذا، كل 100 هيبقى عن حقبة. نيجي نقارن
+
+270
+00:23:26,580 --> 00:23:31,580
+حقبة بحقبة. يعني بالمجمل، الـ 100 iteration هدول،
+
+271
+00:23:31,580 --> 00:23:36,680
+جديش كان الـ error فيهم، ونقارن بالـ 100 iteration
+
+272
+00:23:36,680 --> 00:23:41,660
+اللي جابوهم، جديش كان الـ error، وإذا الـ error صار
+
+273
+00:23:41,660 --> 00:23:46,720
+مقترب من بعضه، يعني ما فيش فرق، ما فيش تحسن، خلاص بنوقف.
+
+274
+00:23:47,670 --> 00:23:53,870
+فحنا بنوقف بناءً على عدم وجود تحسن، أو ممكن نوقف
+
+275
+00:23:53,870 --> 00:23:59,890
+عند، مثلاً نقول أنا بدي أمشي عشرين epoch، يعني عشرين في
+
+276
+00:23:59,890 --> 00:24:02,630
+... نقول مثلاً كل epoch فيه 100 iteration، عشرين في مئة
+
+277
+00:24:02,630 --> 00:24:07,050
+هاي ألف iteration، واللي بيطلع معايا في آخر الألف
+
+278
+00:24:07,050 --> 00:24:12,200
+دول باخده على أنه هو الـ maximum وخلاص، واضح يعني يا
+
+279
+00:24:12,200 --> 00:24:15,540
+إما بناءً على predetermined fixed number of
+
+280
+00:24:15,540 --> 00:24:22,220
+iterations، يا إما بناءً على أن الـ ... الـ ... الـ
+
+281
+00:24:22,220 --> 00:24:26,820
+error أو الـ difference يصل إلى مستوى معين، الـ
+
+282
+00:24:26,820 --> 00:24:29,860
+difference ينخفض إلى ... وبرضه بنحط الـ threshold
+
+283
+00:24:29,860 --> 00:24:34,940
+يعني الـ difference ما يزيدش ... ينزل تحت الواحد
+
+284
+00:24:34,940 --> 00:24:41,530
+من الألف مثلاً، okay؟ الآن في مثال ثاني صغير هنا برضه،
+
+285
+00:24:41,530 --> 00:24:46,270
+لحظة، هي معادلة أخرى. هذه المعادلة شكلها شوية بشع،
+
+286
+00:24:46,270 --> 00:24:50,970
+يعني وين هي؟ وين الـ linear؟ الـ linear اللي هي ثلاثة
+
+287
+00:24:50,970 --> 00:24:58,170
+X + خمسة Y؟ وين هذه؟ هذه برضه كمان ممكن تتم التعامل
+
+288
+00:24:58,170 --> 00:25:01,370
+معاها بالـ Genetic Algorithm، ولاحظ أنه فيه
+
+289
+00:25:01,370 --> 00:25:08,330
+متغيرين، okay. الـ chromosome الآن هو عبارة عن مشترك،
+
+290
+00:25:08,330 --> 00:25:13,890
+يعني نص الأول منه X، ونص الثاني منه Y، الـ X والـ Y
+
+291
+00:25:13,890 --> 00:25:18,230
+كل واحد ماخد ثمانية bit، ثمانية bit.
+
+292
+00:25:20,930 --> 00:25:25,530
+فصار عندي كلها ده عبارة عن chromosome، بإن ... إن يتعمل
+
+293
+00:25:25,530 --> 00:25:31,730
+منه كذا وكذا عينة. الـ generation الواحد ممكن يكون
+
+294
+00:25:31,730 --> 00:25:37,630
+مثلاً عشرين منهم، هدول، okay. الآن إيش اللي حيصير؟ إنه
+
+295
+00:25:37,630 --> 00:25:42,750
+نفس القضية ... نفس القضية، إنه بدو يتم توليد
+
+296
+00:25:42,750 --> 00:25:51,240
+هالعشرين chromosome، تقييمهم كيف؟ نقيمه الآن؟ بسيطة.
+
+297
+00:25:51,240 --> 00:25:58,580
+بناخد هذا الـ binary، هذا بنحاول نحوله لـ decimal، صح؟
+
+298
+00:25:58,580 --> 00:26:02,600
+وهذا بنحاول نحوله لـ decimal، وبناخذه في المعادلة، و
+
+299
+00:26:02,600 --> 00:26:06,920
+بنشوف القيمة، خلاص هي هذا الـ value، وبنحسب، عندي
+
+300
+00:26:06,920 --> 00:26:10,040
+عشرين منهم، بنحسب لهم العشرين كلهم، وبنشوف مين
+
+301
+00:26:10,040 --> 00:26:12,960
+الأصلح. بناخد ... بنستخدم الـ roulette، طبعاً بنحسب الـ
+
+302
+00:26:12,960 --> 00:26:15,860
+ratio في الأول. بنستخدم الـ roulette عشان ناخدهم
+
+303
+00:26:15,860 --> 00:26:21,400
+اثنينات، كل اثنين نطلع منهم اثنين جداد، مظبوط؟ okay، و
+
+304
+00:26:21,400 --> 00:26:27,560
+على هذا الحال، حدث ما نصل إلى combination X مع Y
+
+305
+00:26:27,560 --> 00:26:35,800
+يُعطيني أعلى value لـ F. هذا المثال فيه بس نقطة صغيرة،
+
+306
+00:26:35,800 --> 00:26:37,340
+وهي أن هنا مش مُطرَط عليا
+
+307
+00:26:40,040 --> 00:26:45,040
+القيم يجب أن تتراوح بين ناقص ثلاثة وثلاثة. يعني لو
+
+308
+00:26:45,040 --> 00:26:47,640
+أريد أن أعبر عن الـ X وY على الـ Cartesian Plane،
+
+309
+00:26:47,640 --> 00:26:53,760
+هذه الـ zero، وهذه الثلاثة، وهذه ناقص ثلاثة، وهذه
+
+310
+00:26:53,760 --> 00:26:59,800
+ناقص ثلاثة في الـ Y، وهذه الثلاثة في الـ Y، فالقيم
+
+311
+00:26:59,800 --> 00:27:05,120
+يجب أن تتراوح في هذا الـ range. أنا الآن لدي هنا
+
+312
+00:27:05,120 --> 00:27:09,740
+الـ X والـ Y، قيمهم إيش الـ ... الـ ... الـ 8 bit دول، يعني
+
+313
+00:27:09,740 --> 00:27:16,140
+الـ byte، قيمته بتتراوح من 0 إلى 255، okay. هو مش مُطرَط عليه
+
+314
+00:27:16,140 --> 00:27:19,460
+أنه ناقص 3 لـ 3، أو continuous، بعدين يعني فيها كسور،
+
+315
+00:27:19,460 --> 00:27:27,240
+يعني هذا بنحوله لـ integer فقط، okay. ففي يعني حركة
+
+316
+00:27:27,240 --> 00:27:31,120
+صغيرة بتنعمل، التحويلات على هذا الأمر، إنه خلاص الـ ...
+
+317
+00:27:31,120 --> 00:27:34,060
+الـ ... الـ ... الـ combination هذه، الـ 8 bits، كديش يعني،
+
+318
+00:27:34,060 --> 00:27:39,570
+مثلاً هي هنا، هذه الـ combination، هذه X، وهذه الـ Y،
+
+319
+00:27:39,570 --> 00:27:47,070
+هذه الـ combination 100010، إيش الـ ... إيش الـ
+
+320
+00:27:47,070 --> 00:27:52,410
+decimal value تبعها؟ 138، وهذه الـ decimal value
+
+321
+00:27:52,410 --> 00:28:00,210
+تبعها 59. أنا مُقْدر أضربها ... أحولها من 0 إلى 6، يعني
+
+322
+00:28:00,210 --> 00:28:08,100
+لما أضربها في 6 على 255. يعني أنظر كيف. الآن أنا عندي
+
+323
+00:28:08,100 --> 00:28:16,300
+138، هذا 138 من 255، صح؟ طيب كديش من 6؟ ليش من 6؟
+
+324
+00:28:16,300 --> 00:28:22,140
+ليش من 6؟ لأن الـ range هذا كله هيك 6، صح؟ فكديش من
+
+325
+00:28:22,140 --> 00:28:31,400
+6؟ الـ value الجديد تبعها بيساوي إيش؟ 6 على ... صح؟
+
+326
+00:28:32,350 --> 00:28:36,710
+مظبوط؟ ف أنا أي رقم، يعني كل value من الـ values، كل
+
+327
+00:28:36,710 --> 00:28:40,190
+الـ X's والـ Y's، باخدها وبضربها في الـ ratio هذا.
+
+328
+00:28:40,190 --> 00:28:44,070
+هذا الـ ratio ثابت. هذا عشان أحولها لشيء من ما بين
+
+329
+00:28:44,070 --> 00:28:46,710
+الـ zero والـ ستة. الـ zero والـ ستة، بس أنا ما عنديش
+
+330
+00:28:46,710 --> 00:28:48,250
+إياها من الـ zero والـ six، أنا ما عنديها من الناقص
+
+331
+00:28:48,250 --> 00:28:53,530
+ثلاثة لثلاثة، ف بروح بطرح ثلاثة، مظبوط؟ يعني بعد ما
+
+332
+00:28:53,530 --> 00:28:59,750
+يطلع معايا الرقم هذا، بروح بطرح ثلاثة، بصير إيش؟
+
+333
+00:29:00,600 --> 00:29:05,940
+بصير واقع في الـ range من سالب ثلاثة لثلاثة، وبس هو
+
+334
+00:29:05,940 --> 00:29:10,180
+الكلام هذا أيضاً للـ Y. هذه الآن القيم هي اللي بتخش
+
+335
+00:29:10,180 --> 00:29:17,460
+على المعادلة، مش الـ ... مش الـ 138، القيم هذه الـ
+
+336
+00:29:17,460 --> 00:29:21,520
+metametry، بعد ما أحولها للعشرية، ده للعشرية ده،
+
+337
+00:29:21,520 --> 00:29:25,620
+بدخلها على معادلة الـ F عشان أطلع الـ value، وبسوّي
+
+338
+00:29:25,620 --> 00:29:29,460
+هذه الكلام لكل الـ chromosomes، وبشوف الـ fitness، و
+
+339
+00:29:29,460 --> 00:29:33,420
+على أساس الـ fitness والـ roulette بعمل اللي هو الـ
+
+340
+00:29:33,420 --> 00:29:38,410
+... أطلع الـ representation تبع المسألة هذه، تعطيكي
+
+341
+00:29:38,410 --> 00:29:43,210
+فكرة كويسة عن الـ Genetic Algorithm. أول شيء أن هاي
+
+342
+00:29:43,210 --> 00:29:50,090
+عندك هنا، قولي هذا الـ X، وهذا الـ Y، وهي الـ values
+
+343
+00:29:50,090 --> 00:29:53,230
+تتراوح من ثلاثة إلى ناقص ثلاثة، ناقص ثلاثة وثلاثة.
+
+344
+00:29:53,230 --> 00:29:57,530
+يعني هاي الـ zero و zero جايين في النص. هذا الآن الـ
+
+345
+00:29:57,530 --> 00:30:04,760
+surface يمثل قيم الـ F. يعني عند أي واحد من هدول
+
+346
+00:30:04,760 --> 00:30:10,520
+النقاط، هم عبارة عن X مع Y، عبارة عن solutions، كل
+
+347
+00:30:10,520 --> 00:30:14,340
+واحد من هدول النقاط يمثل إيش؟ Candidate solution.
+
+348
+00:30:14,340 --> 00:30:18,260
+فعند هذا الـ solution، قيمة F جديدة. عند هذا الـ
+
+349
+00:30:18,260 --> 00:30:22,140
+solution قيمة هكذا. لو طلعت على الـ surface نفسه فيه
+
+350
+00:30:22,140 --> 00:30:26,360
+الـ two maximum، واحدة منهم أعلى من الثانية، صح؟ هذه
+
+351
+00:30:26,360 --> 00:30:29,760
+global maximum، هذه الـ maximum الأعلى، وهذه الـ
+
+352
+00:30:29,760 --> 00:30:35,220
+maximum، الـ local maximum، صح؟ الـ genetic algorithm
+
+353
+00:30:35,220 --> 00:30:41,290
+ممكن، بالعشوائية تبعها، كل الـ solutions الستة دول،
+
+354
+00:30:41,290 --> 00:30:44,730
+الستة: واحد، اثنين، ثلاثة، أربعة، خمسة، الستة اللي هم الستة،
+
+355
+00:30:44,730 --> 00:30:48,850
+اللي بيكونوا الـ generation، كلهم يروحوا، خطأ إن
+
+356
+00:30:48,850 --> 00:30:54,450
+يتواجدوا، يتجمعوا عليها، أو حوالين الـ
+
+357
+00:30:54,450 --> 00:31:03,310
+local maximum، ويضيعوا إيش؟ يضيعوا إيش الـ global
+
+358
+00:31:03,310 --> 00:31:08,400
+maximum. هذا الكلام إذا كان عدد الـ iterations صغير، لكن لما
+
+359
+00:31:08,400 --> 00:31:13,860
+نزيد عدد الـ iterations، مع العشوائية، واحدة منهم إما
+
+360
+00:31:13,860 --> 00:31:18,440
+بالـ crossover أو بالـ mutation، تفلُت أو تخرج من
+
+361
+00:31:18,440 --> 00:31:23,520
+المنطقة دي، وتبدأ تنتقل، حتى وإن كان تنخفض في الـ
+
+362
+00:31:23,520 --> 00:31:27,840
+value تبعها، بس بعدها ممكن تبدأ تتحسن ثاني إلى أن
+
+363
+00:31:27,840 --> 00:31:33,900
+تصل إلى الـ global maximum. ماشي الحال؟ ... هذا بيوريكي
+
+364
+00:31:33,900 --> 00:31:41,220
+بعد ... هذا في البداية ... هذا الـ first generation، و
+
+365
+00:31:41,220 --> 00:31:48,040
+بعد هيك ... هي بتبعد ...
+
+366
+00:31:48,040 --> 00:31:53,520
+مش كاتب عدد الـ iterations، المهم، راح تلاحظ إنه اتجمعوا
+
+367
+00:31:53,520 --> 00:31:58,110
+على الـ local minima، الـ local minimum، okay، الـ local
+
+368
+00:31:58,110 --> 00:32:01,290
+maximum، أنا آسف، الـ local maximum. بعد هيك، آه، okay،
+
+369
+00:32:01,290 --> 00:32:07,350
+انتقلوا على الـ ... الـ global maximum، تمام؟ هيه، اتوا هنا،
+
+370
+00:32:07,350 --> 00:32:14,970
+بيعرض لك اللي هو إيش، بعد
+
+371
+00:32:14,970 --> 00:32:22,930
+خمسين iteration. من هنا ليلة الخمسين، وهم لسه، لسه
+
+372
+00:32:22,930 --> 00:32:27,770
+على الـ local maximum. بعد الخمسين ... بعد الخمس
+
+373
+00:32:27,770 --> 00:32:32,970
+وخمسين، انتقلوا من خلال الـ ... الـ crossover والـ
+
+374
+00:32:32,970 --> 00:32:37,410
+mutation، انتقلوا وبدأوا يتحسنوا إلى وصلوا للـ ...
+
+375
+00:32:37,410 --> 00:32:41,530
+للـ global maximum، تمام؟
+
+376
+00:32:41,530 --> 00:32:45,970
+طيب، آخر شيء بدنا نحكيه، وهو أنه لو أنا بدنا نطلع
+
+377
+00:32:45,970 --> 00:32:49,430
+على مقارنة ما بين هذا الكلام وما بين الـ linear
+
+378
+00:32:49,430 --> 00:32:54,160
+programming. الـ linear programming، زي هنا، في أن دي
+
+379
+00:32:54,160 --> 00:32:58,240
+هناك في objective function، وهنا في objective
+
+380
+00:32:58,240 --> 00:33:02,200
+function، هناك
+
+381
+00:33:02,200 --> 00:33:06,760
+في constraint، وهنا إما فيه أو ما فيش، يعني في هذه
+
+382
+00:33:06,760 --> 00:33:10,260
+المسألة، في constraint واحد، اللي هو أن يبقى
+
+383
+00:33:10,260 --> 00:33:14,030
+قيمهم بين الناقص ثلاثة والثلاثة. المثال الأول اللي
+
+384
+00:33:14,030 --> 00:33:17,050
+كانت خمسة عشر X ناقص X تربيع، ما كانش فيها constraint،
+
+385
+00:33:17,050 --> 00:33:20,810
+تمام؟ فالـ genetic algorithm ما بتشترط أن يكون فيه
+
+386
+00:33:20,810 --> 00:33:24,790
+constraints. الشغل الثاني اللي هو هذا الـ surface، لو
+
+387
+00:33:24,790 --> 00:33:30,010
+إنت طلعت عليه، هذا non-linear، هذا non-linear، الـ
+
+388
+00:33:30,010 --> 00:33:37,340
+linear programming problem بتشترط أن الـ objective
+
+389
+00:33:37,340 --> 00:33:39,440
+function تكون linear function. في الـ linear
+
+390
+00:33:39,440 -->
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..781dd299d53af2d19198f27360483ae0923b0732
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg_postprocess.srt
@@ -0,0 +1,1652 @@
+1
+00:00:20,920 --> 00:00:23,720
+ماشي الحال بسم الله الرحمن الرحيم الصلاة والسلام
+
+2
+00:00:23,720 --> 00:00:29,380
+علي أشرف المرسلين اليوم احنا ان شاء الله بدنا ناخد
+
+3
+00:00:29,380 --> 00:00:34,340
+خورزمية متصلة بال iterative improvement كان
+
+4
+00:00:34,340 --> 00:00:37,180
+موضوعنا احنا المحاضرة الماضية ال iterative
+
+5
+00:00:37,180 --> 00:00:41,220
+improvement وشوفنا ال linear programming problem
+
+6
+00:00:41,220 --> 00:00:48,350
+ومعالجتها بال simplex methodأه ال simplex method و
+
+7
+00:00:48,350 --> 00:00:52,610
+ال linear programming problem في الآخر الهدف كان
+
+8
+00:00:52,610 --> 00:00:56,150
+اللي هو أو كان ال style هو انه iterative
+
+9
+00:00:56,150 --> 00:01:02,230
+improvement يعني تحسين البداية ب solution .. ب
+
+10
+00:01:02,230 --> 00:01:09,010
+solution يعني معين و تحسين كل iteration تحسين ال
+
+11
+00:01:09,010 --> 00:01:11,930
+solution إلى أن نصل إلى ال optimum كانت
+
+12
+00:01:11,930 --> 00:01:16,150
+maximization problemالان هتطلع على نوع اخر من ال
+
+13
+00:01:16,150 --> 00:01:20,790
+maximization او من ال algorithms اللي بتتعامل مع
+
+14
+00:01:20,790 --> 00:01:24,530
+ال maximization ال algorithm هي اسمه ال genetic
+
+15
+00:01:24,530 --> 00:01:29,390
+algorithm وهي عبارة عن style من العمل يعني هي في
+
+16
+00:01:29,390 --> 00:01:35,350
+حد ذاتها صنف بس ايضا متصلة بال iterative
+
+17
+00:01:35,350 --> 00:01:40,150
+improvement لان اسلوبها في العمل بيشتغل بالتحسين
+
+18
+00:01:40,150 --> 00:01:42,570
+التدريجي الى ان نصل ال maximum
+
+19
+00:01:46,350 --> 00:01:53,130
+بنطلع على مثال صغير تذكروا كان عندنا في المحاضرة
+
+20
+00:01:53,130 --> 00:01:59,550
+الماضية function كانت تلاتة X زاد خمسة Y هذه ال
+
+21
+00:01:59,550 --> 00:02:03,590
+function linear مظبوط أن هنا ال function هذه
+
+22
+00:02:03,590 --> 00:02:05,050
+nonlinear صح؟
+
+23
+00:02:09,590 --> 00:02:15,410
+15x نقص x تربية لو احنا بدنا نعمل maximization
+
+24
+00:02:15,410 --> 00:02:21,530
+لهذه ال equation يعني خلينا نقول f of x بتساوي هذا
+
+25
+00:02:21,530 --> 00:02:25,530
+الكلام يعني بدنا ندور على قيمة ال x هنا متغير واحد
+
+26
+00:02:25,530 --> 00:02:31,250
+متغير واحد اللي هو ال x قيمة ال x اللي بتحقق أعلى
+
+27
+00:02:31,250 --> 00:02:36,580
+value لل fالـ Genetic Algorithm Approach لـ
+
+28
+00:02:36,580 --> 00:02:43,160
+Maximization هو إنه إحنا بنيجي بنعمل Set of مجموعة
+
+29
+00:02:43,160 --> 00:02:49,120
+من الـ Random Solutions و بنختبرها و بنشوف أصلح
+
+30
+00:02:49,120 --> 00:02:55,540
+الموجود أصلح مجموعة فرعية منها و من هذه الأصلح
+
+31
+00:02:55,540 --> 00:03:00,580
+يعني بنعمل مجموعة أساسية، قولي مثلا عشرين solution
+
+32
+00:03:00,580 --> 00:03:06,480
+كلهم Randomبنقيمهم و بنطلع أحسن ربع يعني أحسن خمسة
+
+33
+00:03:06,480 --> 00:03:11,140
+و من أحسن خمسة بنروح بنعمل generation ل new عشرين
+
+34
+00:03:11,140 --> 00:03:17,140
+تانيات جداد من الخمسة كل generation أو كل مجموعة
+
+35
+00:03:17,140 --> 00:03:21,640
+بتكون نفس العدد عشرين عشرين عشرين عملنا العشرين
+
+36
+00:03:21,640 --> 00:03:26,000
+الأولانيات عشوائية أخدنا أصلح خمسة من الأصلح خمسة
+
+37
+00:03:26,000 --> 00:03:29,520
+عملنا العشرين الجداد العشرين الجداد هنعمل عليهم
+
+38
+00:03:29,520 --> 00:03:35,590
+نفس الاشياء هنقيمهمو ناخد أصلح خمسة و نكرر إلى أن
+
+39
+00:03:35,590 --> 00:03:43,790
+يصبح من ال generation للي بعده مافيش فرق مافيش فرق
+
+40
+00:03:43,790 --> 00:03:48,550
+يعني الأصلح هنا و الأصلح هنا نفس الاشي نفس
+
+41
+00:03:48,550 --> 00:03:54,550
+مابيعطينيش أي تحسن احنا جايبنا نصل تحسن .. بنعمل
+
+42
+00:03:54,550 --> 00:03:57,870
+تحسن تدريجي لحدين مانوصل ل maximum طب أنا جايت
+
+43
+00:03:57,870 --> 00:04:02,980
+بعمل تحسنبعمل العملية وما بيجيش تحسن يقول خلاص أنا
+
+44
+00:04:02,980 --> 00:04:08,740
+وصلت ل ال maximum اللي يمكن الوصول اليه خلينا نطلع
+
+45
+00:04:08,740 --> 00:04:12,380
+على هذا الكلام بشكل عملي كمثال هاي ال function
+
+46
+00:04:12,380 --> 00:04:18,340
+تبعتنا اللي بدنا نعملها maximization بدنا
+
+47
+00:04:18,340 --> 00:04:23,540
+نعمل generation من ستة من ستة
+
+48
+00:04:27,840 --> 00:04:36,680
+6 random solutions X1 X6 يرمزوا إلى ال solutions
+
+49
+00:04:36,680 --> 00:04:43,000
+كل solution يتكوّن من أربعة bits الأولة نقل جاي
+
+50
+00:04:43,000 --> 00:04:49,620
+1100 اللي بعده 0100 كل واحد من هدولة عبارة عن
+
+51
+00:04:50,550 --> 00:04:54,730
+Solutions عشوائية الان كل رقم كل binary
+
+52
+00:04:54,730 --> 00:05:00,470
+combination يمثلها او يقابلها decimal integer صح؟
+
+53
+00:05:00,470 --> 00:05:08,030
+يعني هذا 12 هذا 4 هذا 1 هذا 12 زي 1 زي 2 14 صح؟
+
+54
+00:05:08,030 --> 00:05:13,490
+okay هذا الان هذا الان هي القيم تبع ال .. تبع ال
+
+55
+00:05:13,490 --> 00:05:17,850
+random values لل X لناخد كل واحدة منهم و نعوض في
+
+56
+00:05:17,850 --> 00:05:28,930
+في Fفعند القيمة 12 F of X جداش F of 12 بيساوي 15
+
+57
+00:05:28,930 --> 00:05:38,650
+في 12 ناقص 12 تربية اللي هي 12
+
+58
+00:05:38,650 --> 00:05:45,710
+تربية اللي هي 144 انت تطلع عليها كالتالي 12 تربية
+
+59
+00:05:45,710 --> 00:05:52,140
+هي 12 12 وانا 15 12خمستاش ناقص اتناش ثلاث اتناشات
+
+60
+00:05:52,140 --> 00:05:58,100
+يعني ستة و تلاتين صح؟ بدون ما احسبها دي جداش و
+
+61
+00:05:58,100 --> 00:06:01,200
+احسبها دي جداش على طول ستة و تلاتينية طب ماشي
+
+62
+00:06:01,200 --> 00:06:06,940
+الحال اللي هو F في أربعة خمستاش
+
+63
+00:06:06,940 --> 00:06:12,760
+في أربعة ناقص أربعة تربيع ستة عشر ماشي هذه لحالها
+
+64
+00:06:12,760 --> 00:06:18,850
+ستين ولا لا ناقص ستة عشر أربعة و أربعين مظبوط؟الان
+
+65
+00:06:18,850 --> 00:06:22,330
+هاد ال .. احنا .. احنا هدفنا أو هدفنا في ال ..
+
+66
+00:06:22,330 --> 00:06:26,610
+يعني هدفنا اللي هو أعلى قيمة، okay؟ فمن الطبيعي
+
+67
+00:06:26,610 --> 00:06:29,530
+هاد أعلى قيمة، بس احنا مش عارفين، يمكن لسه في أعلى
+
+68
+00:06:29,530 --> 00:06:33,790
+منها، يمكن لسه فيها عامة، فبنعمل .. بناخد هدولة،
+
+69
+00:06:33,790 --> 00:06:37,670
+بنعمل منهم generation جديد، وبشوف اللي ربما يطلع
+
+70
+00:06:37,670 --> 00:06:42,750
+منيش .. يطلع معايا اشي أعلى من ال .. من ال 56الان
+
+71
+00:06:42,750 --> 00:06:51,610
+هذه الأرقام هي ال fitness measure هي مقياس من
+
+72
+00:06:51,610 --> 00:06:57,810
+الأصلح في هذه ال solutions هو اللي أعلى value صح؟
+
+73
+00:06:58,090 --> 00:07:02,130
+الان احنا مش هننظر الى هذا القيمة هناخد من هذه
+
+74
+00:07:02,130 --> 00:07:05,910
+ناخد منها حاجة اسمة ال fitness ratio ال fitness
+
+75
+00:07:05,910 --> 00:07:11,070
+ratio هو باختصار كل قيمة من هذه القيمة اول شي
+
+76
+00:07:11,070 --> 00:07:16,410
+بنجمع المجموع كله يعني ال 36 و 44 جدش بطلع؟ 36 و
+
+77
+00:07:16,410 --> 00:07:26,810
+44 .. 70 .. 80 .. 28 .. 110 .. جدش؟
+
+78
+00:07:30,460 --> 00:07:33,680
+تمانية مائة و تمانية و تمانية و تمانية و تمانية و
+
+79
+00:07:33,680 --> 00:07:39,360
+تمانية
+
+80
+00:07:39,360 --> 00:07:42,320
+و تمانية و تمانية و تمانية و تمانية و تمانية و
+
+81
+00:07:42,320 --> 00:07:42,340
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+82
+00:07:42,340 --> 00:07:42,380
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+83
+00:07:42,380 --> 00:07:42,660
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+84
+00:07:42,660 --> 00:07:42,760
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+85
+00:07:42,760 --> 00:07:44,600
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+86
+00:07:44,600 --> 00:07:45,240
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+87
+00:07:45,240 --> 00:07:50,920
+تمانية و تمانية و تمانية و
+
+88
+00:07:50,920 --> 00:07:54,750
+تمانية و تمOkay ال ratio ده إيه له دور في الكلام
+
+89
+00:07:54,750 --> 00:07:58,270
+اللي .. الخطوة اللاحقة و هي إن عملية ال .. إحنا
+
+90
+00:07:58,270 --> 00:08:01,190
+بدنا ناخد أفضل مجموعة .. أفضل مجموعة فرعية من ال
+
+91
+00:08:01,190 --> 00:08:05,270
+.. okay؟ بدنا ناخد أفضل مجموعة و نولد .. و نولد
+
+92
+00:08:05,270 --> 00:08:10,090
+منهم generate a new set .. a new generation of
+
+93
+00:08:10,090 --> 00:08:17,010
+solutions okay؟ عملية توليد ال generation الجديد
+
+94
+00:08:17,010 --> 00:08:20,150
+بتتم من خلال حاجة اسمة genetic operators
+
+95
+00:08:25,540 --> 00:08:29,600
+operators عمليات يعني في حاجة عملية اسمة crossover
+
+96
+00:08:29,600 --> 00:08:33,200
+في
+
+97
+00:08:33,200 --> 00:08:40,560
+عملية أخرى اسمة mutation ال crossover
+
+98
+00:08:40,560 --> 00:08:48,200
+ببساطة ان احنا بنيجي على two parents افترض لأ
+
+99
+00:08:48,200 --> 00:08:53,210
+خلينا نشوف مين أصلح اتنين لهم دولةzero واحد واحد
+
+100
+00:08:53,210 --> 00:08:58,690
+واحد والتاني واحد زيرو زيرو واحد وبروح لعملين نقطة
+
+101
+00:08:58,690 --> 00:09:07,170
+فصل وبناخد الجزء الأولاني من هذا الان هذا الان
+
+102
+00:09:07,170 --> 00:09:11,070
+نسمي
+
+103
+00:09:11,070 --> 00:09:15,610
+parent one وهذا parent two بنطلع منهم ال child one
+
+104
+00:09:15,610 --> 00:09:18,890
+و ال child two تمام؟
+
+105
+00:09:21,460 --> 00:09:26,680
+Child 1 بيكون نص ال parent الأول مع نص التاني من
+
+106
+00:09:26,680 --> 00:09:36,720
+ال parent التاني واضح؟
+
+107
+00:09:36,720 --> 00:09:44,840
+أخدت نص من هنا مع نص من هنا okay هيك أنا عملت
+
+108
+00:09:44,840 --> 00:09:48,960
+cross over ما بين two parents عشان أطلع two
+
+109
+00:09:48,960 --> 00:09:49,420
+children
+
+110
+00:09:51,970 --> 00:09:55,250
+وبسوي الكلام هيطلع معايا اتنين انا ال generation
+
+111
+00:09:55,250 --> 00:09:59,950
+كله ستة بدي ستة يعني بدي اعمل كمان اتنين وكمان
+
+112
+00:09:59,950 --> 00:10:06,650
+اتنين واضح؟ ناخد الأصلح و بنعمل منهم ال children
+
+113
+00:10:06,650 --> 00:10:10,770
+يفترض الآن هدول ال children لأنهم جايين من الأصلح
+
+114
+00:10:10,770 --> 00:10:15,150
+ان يكونوا المجموعة
+
+115
+00:10:15,150 --> 00:10:18,850
+هذه الست الشداد افضل من الست الاولانين افضل
+
+116
+00:10:18,850 --> 00:10:26,630
+بالمجمل يعنيواضح يعني مثلًا تطلع أيه؟
+
+117
+00:10:32,680 --> 00:10:36,940
+طلع هاي الرسم هاد، معلش صغير الكلام فيها، بس لو
+
+118
+00:10:36,940 --> 00:10:40,380
+لاحظت هاي ال generation الأولاني، بعد ما دارت
+
+119
+00:10:40,380 --> 00:10:43,820
+الدارة و عملنا generation جديد، طلع الأرقام اللي
+
+120
+00:10:43,820 --> 00:10:47,540
+هنا، فيه عندك اتنين في الخمسينات، واحد في
+
+121
+00:10:47,540 --> 00:10:49,880
+الأربانات، واحد في التلاتينات، واحد في العشرات،
+
+122
+00:10:49,880 --> 00:10:55,100
+صح؟ الجيل الجديد، فيه عندي أربعة في الخمسيناتو2 في
+
+123
+00:10:55,100 --> 00:10:58,380
+الأربعينات ومافيش تلاتينات وعشرات يبقى بالمجمل
+
+124
+00:10:58,380 --> 00:11:03,820
+هدول أصلح من اللي قبلهم ويفترض أنه التحسن هذا من
+
+125
+00:11:03,820 --> 00:11:09,500
+جيل لجيل يستمر إلى أن أصل إلى أن والله الجيل
+
+126
+00:11:09,500 --> 00:11:15,620
+الجديد مافيش تحسن كبير يذكر يعني ما بينه وما بين
+
+127
+00:11:15,620 --> 00:11:19,700
+اللي قبله ويبقى خلاص نعتبر هذا هو ال maximumنرجع
+
+128
+00:11:19,700 --> 00:11:23,260
+تاني لان عشان برضه نشوف عملية الـ crossover شوفنا
+
+129
+00:11:23,260 --> 00:11:27,560
+الـ crossover عشان نشوف ال mutation ال mutation هي
+
+130
+00:11:27,560 --> 00:11:31,440
+ببساطة طالع على الرسم هذه في رسم تاني أوضح منها
+
+131
+00:11:31,440 --> 00:11:35,460
+قبل هيتها ال mutation انه احنا هاي ال generation
+
+132
+00:11:35,460 --> 00:11:38,940
+الجديد بعد عملية ال crossover بعد ما ولدنا ال
+
+133
+00:11:38,940 --> 00:11:44,060
+children لجداد روحنا جينا قولنا ب .. برضه ب
+
+134
+00:11:44,060 --> 00:11:51,010
+probability يعني بعشوائيةاخترنا واحد واخترنا واحدة
+
+135
+00:11:51,010 --> 00:11:57,010
+من ال bits و جلبناها هذا الواحد كان كلهم ones
+
+136
+00:11:57,010 --> 00:12:01,210
+فانجلبت ال one إلى zero و أصبح one zero one one
+
+137
+00:12:01,210 --> 00:12:04,770
+هذا ال mutation في اللغة يعني طفرة طفرة في ال
+
+138
+00:12:04,770 --> 00:12:08,770
+biology ان واحد من الجينات يتسير عليه تغيير غير
+
+139
+00:12:08,770 --> 00:12:18,160
+متوقع وبقيمة بعيدة عن القيمة السابقةOkay فهذا هو
+
+140
+00:12:18,160 --> 00:12:21,820
+المقصود بالـ mutation هنا عندنا انه واحد من ال ..
+
+141
+00:12:21,820 --> 00:12:24,760
+هدولة برضه اسم جينات على فكرة احنا يعني ال
+
+142
+00:12:24,760 --> 00:12:27,260
+solution الواحد بلغة ال .. بلغة ال genetic
+
+143
+00:12:27,260 --> 00:12:31,460
+algorithm ال solution الواحد بنسميه chromosome و
+
+144
+00:12:31,460 --> 00:12:38,530
+البت الواحد ده بنسميها gene okay gene زي يعنيالـ
+
+145
+00:12:38,530 --> 00:12:41,910
+mutation هي إن واحد من ال genes هذا يتعمل عليه
+
+146
+00:12:41,910 --> 00:12:45,930
+تغير عشوائي، عندي أنا هنا الجينات كلها binary،
+
+147
+00:12:45,930 --> 00:12:48,810
+يعني zeros و ones، فلما واحد بده يتغير، بده يتغير
+
+148
+00:12:48,810 --> 00:12:51,550
+من إيش ليش، يا ما هو zero يصبح one، يا ما one يصبح
+
+149
+00:12:51,550 --> 00:12:55,150
+zero، لكن في بعض ال problems الجينات هذه ممكن تبقى
+
+150
+00:12:55,150 --> 00:13:00,970
+أرقام عشرية أو أحرف، فممكن إيش التغير يبقى من أي
+
+151
+00:13:00,970 --> 00:13:04,630
+رقم فيها إلى .. من أي رقم من الأرقام المسموحة إلى
+
+152
+00:13:04,630 --> 00:13:08,150
+رقم آخرالمهم هي مفهوم الـ cross .. واضح ايش يعني
+
+153
+00:13:08,150 --> 00:13:11,810
+crossover واضح ايش يعني mutation okay لان هدول
+
+154
+00:13:11,810 --> 00:13:16,050
+العمليتين بي .. يعني حتى لان كل ال .. ال algorithm
+
+155
+00:13:16,050 --> 00:13:20,750
+عشوائي في عشوائي بس اللي بيحصل انه في شوية .. يعني
+
+156
+00:13:20,750 --> 00:13:24,950
+ال .. الانضباط الوحيد في الشغل هنا انه بتتم
+
+157
+00:13:24,950 --> 00:13:32,070
+الاختيار الأصلح زاد كمان انه احنا ال ..
+
+158
+00:13:35,470 --> 00:13:39,290
+الـ crossover هي الـ crossover واضحة زي ما ضربت
+
+159
+00:13:39,290 --> 00:13:47,690
+المثال انا هنا انه هي x6 و x2 على النص أخدنا الشق
+
+160
+00:13:47,690 --> 00:13:52,710
+هذا okay أخدنا الشق هذا و حطينا هنا و هذا حطينا
+
+161
+00:13:52,710 --> 00:13:54,530
+بداله فطلع معايا واحد
+
+162
+00:14:12,840 --> 00:14:16,180
+ملاحظة أخرى إن الـ crossover point ممكن تيجي في
+
+163
+00:14:16,180 --> 00:14:21,280
+النص أو في أي مكانتمام؟ وممكن تبقى مش بس crossover
+
+164
+00:14:21,280 --> 00:14:24,240
+point واحدة ممكن تبقى تنتين يعني انجسم ال
+
+165
+00:14:24,240 --> 00:14:29,220
+chromosome إلى تلات أجسام ماشي ويستم تبديل واحد من
+
+166
+00:14:29,220 --> 00:14:39,180
+هنا مع واحد من هناك واضح؟ في شغل نرجع احنا اللي هي
+
+167
+00:14:39,180 --> 00:14:45,090
+ال rollet wheel selectionأول اشي ال slides هنا
+
+168
+00:14:45,090 --> 00:14:48,530
+حسبنا ال ratio هي ال fitness حسبنا ال fitness و
+
+169
+00:14:48,530 --> 00:14:52,450
+بعدين طلعنا منه ال ratio صح ال ratio هذا بيكون
+
+170
+00:14:52,450 --> 00:14:56,790
+أساس لعملية اختيار مين ال parents اللي ان عمل
+
+171
+00:14:56,790 --> 00:15:01,690
+عليها crossover عشان نطلع ل new children ال relate
+
+172
+00:15:01,690 --> 00:15:10,670
+wheel هذه جاي على أساس ال ratios هتلاقي انه الالـ
+
+173
+00:15:10,670 --> 00:15:16,350
+chromosome اللي ال ratio تبعه عالي هى هذا الأسود
+
+174
+00:15:16,350 --> 00:15:21,170
+هيته والأخضر هيته هيبقى مساحته أو حصته في ال wheel
+
+175
+00:15:21,170 --> 00:15:27,790
+أكبر بتتناسب بالظبط جد ال ratio تبعه احنا لان لما
+
+176
+00:15:27,790 --> 00:15:34,450
+بدنا نجي نعمل selection بتتم توليد رقم عشوائي من 0
+
+177
+00:15:34,450 --> 00:15:39,440
+ل100فهنا الرقم العشوائي هذا جاي في أظن على حدود
+
+178
+00:15:39,440 --> 00:15:43,200
+بعد التمانين يقول مثلا تلاتة وتمانين تلاتة تمانين
+
+179
+00:15:43,200 --> 00:15:50,700
+في المية لأن وين أجى فحصت مين فحصت X6 يبقى بتم
+
+180
+00:15:50,700 --> 00:16:00,420
+اختيار X6 okay لو جينا عملنا new number وطلع
+
+181
+00:16:00,420 --> 00:16:08,910
+سبعتاش هي جيناصح؟ في حصة مين؟ في حصة X3 .. X2 اسف
+
+182
+00:16:08,910 --> 00:16:14,750
+.. X2 اي رقم عشوائي هيجي في حصة واحد من هدولة الان
+
+183
+00:16:14,750 --> 00:16:21,770
+اللي ال ratio تبعه واسع حصته و فرصته اكبر صح؟ هذا
+
+184
+00:16:21,770 --> 00:16:29,190
+.. هذا حصته ضيقة مظبوط؟ لذلك احتمالية انه ييجي
+
+185
+00:16:29,190 --> 00:16:35,430
+عليه السهم او random number اضعفوهذا منطقي أننا
+
+186
+00:16:35,430 --> 00:16:41,250
+نختار الأصلح بمعنى أننا نطبق هذا الاسلوب أو هذه
+
+187
+00:16:41,250 --> 00:16:45,590
+التكنيك نختار الأصلح الأصلح هو ال ratio تبعه أعلى
+
+188
+00:16:45,590 --> 00:16:48,870
+وبالتالي مساحته أوسع وبالتالي فرصته في الاختيار
+
+189
+00:16:48,870 --> 00:16:53,150
+أعلى فاللي بيصير أنه أنا بدي أعمل generation ل 6
+
+190
+00:16:53,150 --> 00:17:00,870
+new يعني بدي أعمل X1 prime X2 prime X3 prime X4
+
+191
+00:17:01,740 --> 00:17:09,500
+prime x5 جديد و x6 جديد تمام؟ بنعمل random number
+
+192
+00:17:09,500 --> 00:17:13,880
+و ال random number هذا اذا أجى في حصة مين بيختار
+
+193
+00:17:13,880 --> 00:17:17,920
+هذا بيكون اللي اختارناه هذا parent 1 بنعمل مرة
+
+194
+00:17:17,920 --> 00:17:23,560
+أخرى عشان نختار parent 2 تمام؟
+
+195
+00:17:23,560 --> 00:17:29,840
+خلاص بيعمل ال crossover بيطلعه ليه ال
+
+196
+00:17:29,840 --> 00:17:35,330
+new childrenOkay مرة تانية في ال relay wheel عشان
+
+197
+00:17:35,330 --> 00:17:41,330
+تطلعلي two new parents و .. و .. ايش معانا الكلام؟
+
+198
+00:17:41,330 --> 00:17:44,750
+معانا الكلام ان ممكن ال parent الواحد من هدول اللي
+
+199
+00:17:44,750 --> 00:17:48,510
+حصتهم كبيرة و ال ratio تبعهم عالي يدخل في ال
+
+200
+00:17:48,510 --> 00:17:53,090
+crossover أكتر من مرة صح ولا لا؟ و اللي حسته ضيفه
+
+201
+00:17:53,090 --> 00:17:59,470
+مايدخلش بالمرة و هذا اشي مطلوب ولا لا؟ اشي مطلوب
+
+202
+00:17:59,470 --> 00:18:05,860
+فعنا احنا الآنهذا الـ roulette wheel هي آلية
+
+203
+00:18:05,860 --> 00:18:11,460
+اختيار ال parents عشان نطلع منهم عشان ندخلهم على
+
+204
+00:18:11,460 --> 00:18:19,280
+ال crossover عشان يطلع منهم children ال mutation
+
+205
+00:18:19,280 --> 00:18:22,080
+أيضا لها آلية limitation
+
+206
+00:18:25,690 --> 00:18:30,590
+الـ mutation أصلا بيتم بعد ما يتم كل الـ crossover
+
+207
+00:18:30,590 --> 00:18:36,850
+بعد ما يتم توليد كل ال generation الستة بيتم بعد
+
+208
+00:18:36,850 --> 00:18:41,910
+ذلك ندفع عليهم عشان نحدد مين منهم يتم عليه ال
+
+209
+00:18:41,910 --> 00:18:46,990
+mutation فبيبقى فيه عندنا probability وبتبقى
+
+210
+00:18:46,990 --> 00:18:52,630
+منخفضة جدا قولي مثلا واحد
+
+211
+00:18:52,630 --> 00:18:57,840
+في الميةالـ Random number برضه كمان نعمل random
+
+212
+00:18:57,840 --> 00:19:03,360
+number الـ Random number هذا case أجه 1% أو أقل
+
+213
+00:19:03,360 --> 00:19:09,380
+بيطبق ال mutation أعلى من ما بيطبقش يعني أنا الان
+
+214
+00:19:09,380 --> 00:19:14,040
+واقف هنا بدي أقرر هل أعمله mutation ولا لأ نولد ال
+
+215
+00:19:14,040 --> 00:19:17,120
+Random number ال Random number هذا مرشح جدا أن
+
+216
+00:19:17,120 --> 00:19:22,740
+يبقى أعلى من 1%فلأنه هيطلع أعلى من واحد في المية
+
+217
+00:19:22,740 --> 00:19:27,180
+فمش هينطبق فقط لما ييجي random number هذا واحد أو
+
+218
+00:19:27,180 --> 00:19:32,180
+أقل بنروح بننفس mutation يبقى إيش مهنة ذلك عملية
+
+219
+00:19:32,180 --> 00:19:37,160
+ال mutation هتحدث على نسبة ضئيلة من ال .. إيش؟ من
+
+220
+00:19:37,160 --> 00:19:43,340
+ال chromosomes هذه صح؟ صح؟ وهذا .. وهذا المنطق أنه
+
+221
+00:19:43,340 --> 00:19:47,320
+أصلا الاسم هو اسم هتفرق يعني بتحصل .. نادرا بتحصل،
+
+222
+00:19:47,320 --> 00:19:47,860
+مظبوط؟
+
+223
+00:19:51,010 --> 00:19:54,770
+فكذلك الحال مين من ال bits اللي بدها تتعمل عليها
+
+224
+00:19:54,770 --> 00:19:58,650
+ال mutation يعني خلاص أنا عملنا random number وطلع
+
+225
+00:19:58,650 --> 00:20:02,330
+أقل من واحد في المية فقررنا إن هذا بدي نعمل عليه
+
+226
+00:20:02,330 --> 00:20:06,990
+mutation طيب أنهي bit برضه بتختار randomly راندملي
+
+227
+00:20:06,990 --> 00:20:10,590
+بتختار واحدة من الأربعة أو إذا كان ال chromosome
+
+228
+00:20:10,590 --> 00:20:16,110
+أطول واحدة منهم اللي بتختار randomly عشان نعمل
+
+229
+00:20:16,110 --> 00:20:22,270
+عليه mutationتمام؟ فأصبح الآن ال cycle .. ال .. ال
+
+230
+00:20:22,270 --> 00:20:26,010
+.. ال .. ال .. ال genetic algorithm ال cycle تبعها
+
+231
+00:20:26,010 --> 00:20:32,330
+أعتقد صارت واضحة الآن أول حاجة بيتم تشكيل اللي هو
+
+232
+00:20:32,330 --> 00:20:35,950
+ال first generation وهذا بيتم تشكيله randomly
+
+233
+00:20:35,950 --> 00:20:40,050
+مافيش parents أصلا اللي نعمل منها نعمل عليها
+
+234
+00:20:40,050 --> 00:20:44,050
+crossover عشان نولد .. بنعمله randomly بنعمل إيش
+
+235
+00:20:44,050 --> 00:20:50,530
+تاني إشي؟ بنعمل evaluationالـ F هنا evaluation لكل
+
+236
+00:20:50,530 --> 00:20:53,710
+واحد منهم، هذا أحياناً الـ F نسميها ال fitness
+
+237
+00:20:53,710 --> 00:20:58,210
+function، okay؟ بين حسب ال fitness، ال fitness
+
+238
+00:20:58,210 --> 00:21:03,850
+يعني إيش، مين أصلح؟ okay، بناء على ال fitness، بين
+
+239
+00:21:03,850 --> 00:21:09,990
+حسب ال fitness ratioبنانا الفيتنس ريشيو بتستخدم
+
+240
+00:21:09,990 --> 00:21:15,070
+الـ roulette wheel عشان يتم اختيار ازواج من هذا ال
+
+241
+00:21:15,070 --> 00:21:21,350
+generation عشان نعمل عليهم crossover عشان
+
+242
+00:21:21,350 --> 00:21:27,810
+نطلع new children طلعنا اتنين ثم اتنين ثم اتنين
+
+243
+00:21:27,810 --> 00:21:31,510
+الى ان يكتمل العدد اللازم اللي هو جدش عناهنا ستة
+
+244
+00:21:31,510 --> 00:21:36,320
+بنعمل زيهم ستة عملنا ستةمن خلال الـ crossover
+
+245
+00:21:36,320 --> 00:21:40,880
+عملنا ستة الآن بدنا نطبق ال mutation بنعمل برضه
+
+246
+00:21:40,880 --> 00:21:46,580
+randomly بنعمل mutation على نسبة ضئيلة من .. منهم
+
+247
+00:21:46,580 --> 00:21:52,660
+okay هذا الآن بعد ال mutation بيصبح generation I
+
+248
+00:21:52,660 --> 00:21:57,400
+plus one ايش بنعمل عليها ده؟ بنعيد الكرة اللي هي
+
+249
+00:21:57,400 --> 00:22:00,720
+بتبدأ من ال fitness calculation بنحسب ال fitness
+
+250
+00:22:00,720 --> 00:22:04,780
+تبعهم و بنختار و بن .. و بنعمل generation لها a
+
+251
+00:22:04,780 --> 00:22:05,000
+new
+
+252
+00:22:07,890 --> 00:22:16,370
+ونستمر إلى إمتى؟ لما بنعمل حسبة، بنعمل طريقة اللي
+
+253
+00:22:16,370 --> 00:22:21,570
+تقارن هدولة ال values معاها بهدولة، هدولة السابقة،
+
+254
+00:22:21,570 --> 00:22:25,390
+وهذا اللاحق، صح؟ اه، يعني ممكن نيجي نعمل مثلا some
+
+255
+00:22:25,390 --> 00:22:28,270
+of absolute differences كيف يعني some of absolute
+
+256
+00:22:28,270 --> 00:22:31,770
+differences؟ هذا نقص اللي عجباله، كل واحد نقص اللي
+
+257
+00:22:31,770 --> 00:22:35,150
+عجباله، هاي ال differences وبناخد ال absolute
+
+258
+00:22:35,150 --> 00:22:36,870
+وبنجمع
+
+259
+00:22:38,170 --> 00:22:41,590
+كل ما كان هدولة مشابهين لهدولة بيكون ال difference
+
+260
+00:22:41,590 --> 00:22:46,670
+صغير، ممكن sum of absolute أو sum of square، يعني
+
+261
+00:22:46,670 --> 00:22:52,250
+نربي ال differences، فبطلع معاه رقم واحد، الرقم
+
+262
+00:22:52,250 --> 00:22:58,390
+هذا كل ما اقترب من ال zero كل ما كان الفرق بسيط أو
+
+263
+00:22:58,390 --> 00:23:03,950
+ضئيلOkay مش بس هيك احنا ممكن نعمل نعقد المثال هذه
+
+264
+00:23:03,950 --> 00:23:07,850
+مش على أساس من generation للي بعده لأ في حاجة اسمة
+
+265
+00:23:07,850 --> 00:23:11,030
+ال epoque ال epoque اللي هي الحقبة الزمنية يعني
+
+266
+00:23:11,030 --> 00:23:13,570
+مجموعة من ال iterations يعني مثلا كل 100
+
+267
+00:23:13,570 --> 00:23:17,330
+iterations هيتبرهم حقبة او كل 20 او 50 iterations
+
+268
+00:23:17,330 --> 00:23:22,760
+هيتبرهم حقبة يعني ال algorithm تمشيمية و كمان مية
+
+269
+00:23:22,760 --> 00:23:26,580
+و كمان مية كل هذا كل مية هيبقى عن حقبة نيجي نقارن
+
+270
+00:23:26,580 --> 00:23:31,580
+حقبة بحقبة يعني بالمجمل ال meet iteration هدولة
+
+271
+00:23:31,580 --> 00:23:36,680
+جداش كان ال error فيهم و نقارن بال meet iteration
+
+272
+00:23:36,680 --> 00:23:41,660
+اللي جابلهم جداش كان ال error و إذا ال error صار
+
+273
+00:23:41,660 --> 00:23:46,720
+مقترب من بعضه يعني مافيش فرق مافيش تحسن خلاص بنمجف
+
+274
+00:23:47,670 --> 00:23:53,870
+فاحنا بنوقف بناءً على عدم وجود تحسن أو ممكن نوقف
+
+275
+00:23:53,870 --> 00:23:59,890
+عند مثلا نقول أنا بدي أمشي عشرين epo يعني عشرين في
+
+276
+00:23:59,890 --> 00:24:02,630
+.. يقولي مثلا كل epo في 100 iteration عشرين في مية
+
+277
+00:24:02,630 --> 00:24:07,050
+هاي ألف iteration واللي بطلع معايا في آخر الألف
+
+278
+00:24:07,050 --> 00:24:12,200
+دولة باخده على أن هو ال maximumوخلاص واضح يعني يا
+
+279
+00:24:12,200 --> 00:24:15,540
+اما بناء على predetermined fixed number of
+
+280
+00:24:15,540 --> 00:24:22,220
+iterations يا اما بناء على انه ال .. ال .. ال
+
+281
+00:24:22,220 --> 00:24:26,820
+error او ال difference يصل الى مستوى معين ال
+
+282
+00:24:26,820 --> 00:24:29,860
+difference ينخفض الى .. وبرضه بنحط ال threshold
+
+283
+00:24:29,860 --> 00:24:34,940
+يعني ال difference مايزيدش .. ينزل على عند الواحد
+
+284
+00:24:34,940 --> 00:24:41,530
+من الف مثلا okay؟الان في مثال تاني صغير هنا برضه،
+
+285
+00:24:41,530 --> 00:24:46,270
+لحظة هي معادلة أخرى، هذه المعادلة شكلها شوية بشع،
+
+286
+00:24:46,270 --> 00:24:50,970
+يعني وين هي وين ال linear، ال linear اللي هي تلاتة
+
+287
+00:24:50,970 --> 00:24:58,170
+X أت خمسة Yوين هذه؟ هذه برضه كمان ممكن تتم التعامل
+
+288
+00:24:58,170 --> 00:25:01,370
+معاها بالـ Genetic Algorithm و لاحظ أنه فيه
+
+289
+00:25:01,370 --> 00:25:08,330
+متغيرين okay ال chromosome الآن هو عبارة عن مشترك
+
+290
+00:25:08,330 --> 00:25:13,890
+يعني نص الأولان منه X و نص التان منه Y ال X و ال Y
+
+291
+00:25:13,890 --> 00:25:18,230
+كل واحد ماخد تمانية bit تمانية bit
+
+292
+00:25:20,930 --> 00:25:25,530
+فصار عندى كلها ده عبارة عن chromosome بإن ان يتعمل
+
+293
+00:25:25,530 --> 00:25:31,730
+منه كذا وكذا عينة ال generation الواحد ممكن يكون
+
+294
+00:25:31,730 --> 00:25:37,630
+مثلا عشرين منهم هدولة okay الآن إيش اللي حيصير إنه
+
+295
+00:25:37,630 --> 00:25:42,750
+نفس القالية .. نفس القالية إنه بدو يتم توليد
+
+296
+00:25:42,750 --> 00:25:51,240
+هالعشرين chromosome تقييمهم كيف نقيمه الآن؟بسيطة
+
+297
+00:25:51,240 --> 00:25:58,580
+بناخد هذا ال binary هذا بنحاول أنه لها decimal صح؟
+
+298
+00:25:58,580 --> 00:26:02,600
+و هذا بنحاول أنه لها decimal و ناخده في المعادلة و
+
+299
+00:26:02,600 --> 00:26:06,920
+بنشوف القيمة خلاص هي هذا ال value و بنحسب أندي
+
+300
+00:26:06,920 --> 00:26:10,040
+عشرين منهم بنحسب له العشرين كلهم و بنشوف مين
+
+301
+00:26:10,040 --> 00:26:12,960
+الأصلحة بناخد .. بنستخدم ال rollet طبعا بنحسب ال
+
+302
+00:26:12,960 --> 00:26:15,860
+ratio في الأول بنستخدم ال rollet عشان ناخدهم
+
+303
+00:26:15,860 --> 00:26:21,400
+اتنينات كل اتنين نطلع منهم اتنين جداد مظبوط؟ okayو
+
+304
+00:26:21,400 --> 00:26:27,560
+على هذا الحل حدث ما نصل إلى combination X مع Y
+
+305
+00:26:27,560 --> 00:26:35,800
+يعطيني أعلى value ل F هذا المثال فيه بس نقطة صغيرة
+
+306
+00:26:35,800 --> 00:26:37,340
+وهي ان هنا مش طرط عليا
+
+307
+00:26:40,040 --> 00:26:45,040
+القيم يجب أن تتراوح بين ناقص ثلاثة وثلاثة يعني لو
+
+308
+00:26:45,040 --> 00:26:47,640
+أريد أن أعبّر عن الـ X وY على الـ Cartesian Plane
+
+309
+00:26:47,640 --> 00:26:53,760
+هذه الـ Zero وهذه الثلاثة وهذه ناقص ثلاثة وهذه
+
+310
+00:26:53,760 --> 00:26:59,800
+ناقص ثلاثة في الـ Y وهذه الثلاثة في الـ Y فالقيم
+
+311
+00:26:59,800 --> 00:27:05,120
+يجب أن تتراوح في هذا الـ Range أنا الآن لدي هنا
+
+312
+00:27:05,120 --> 00:27:09,740
+الـ X وYقيمهم ايش ال .. ال .. الـ 8 bit دول يعني
+
+313
+00:27:09,740 --> 00:27:16,140
+ال byte قيمه بتتروح من 0 ل 255 okay هو مش طرط عليه
+
+314
+00:27:16,140 --> 00:27:19,460
+انه نقص 333 او continuous بعدين يعني فيها كسور
+
+315
+00:27:19,460 --> 00:27:27,240
+يعني هذا بتغليه ل integer فقط okay ففي يعني حركة
+
+316
+00:27:27,240 --> 00:27:31,120
+صغيرة بتنعمل التحاليل على هذا الأمر انه خلاص ال ..
+
+317
+00:27:31,120 --> 00:27:34,060
+ال .. ال .. ال combination هذه ال 8 bits كدهش يعني
+
+318
+00:27:34,060 --> 00:27:39,570
+مثلا هي هناهذه الـ combination هذي X وهذه الـ Y
+
+319
+00:27:39,570 --> 00:27:47,070
+هذي الـ combination 100010 إيش ال .. إيش ال
+
+320
+00:27:47,070 --> 00:27:52,410
+decimal value تبعها؟ 138 وهذه ال decimal value
+
+321
+00:27:52,410 --> 00:28:00,210
+تبعها 59 أنا مقدر أضربها .. أحولها من 0 ل 6 يعني
+
+322
+00:28:00,210 --> 00:28:08,100
+لما أضربها في 6 على 255 يعني أنظر كيفالان انا عندي
+
+323
+00:28:08,100 --> 00:28:16,300
+138 هذا 138 من 255 صح؟ طيب كداش من 6؟ ليش من 6؟
+
+324
+00:28:16,300 --> 00:28:22,140
+ليش من 6؟ لأن ال range هذا كله هيك 6 صح؟ فكداش من
+
+325
+00:28:22,140 --> 00:28:31,400
+6؟ ال value الشديد تبعها بيساوي ايش؟ 6 على صح؟
+
+326
+00:28:32,350 --> 00:28:36,710
+مظبوط؟ فانا اي رقم يعني كل value من ال values كل
+
+327
+00:28:36,710 --> 00:28:40,190
+ال X's و ال Y's باخدها و بضربها في ال ratio هذا
+
+328
+00:28:40,190 --> 00:28:44,070
+هذا ال ratio ثابت هذا عشان احولها لاشي من ما بين
+
+329
+00:28:44,070 --> 00:28:46,710
+ال zero و ال ستة ال zero و ال ستة بس انا مانديش
+
+330
+00:28:46,710 --> 00:28:48,250
+اياها من ال zero و ال six انا مانديها من النقص
+
+331
+00:28:48,250 --> 00:28:53,530
+تلاتة لتلاتة فبروح باطرح تلاتة مظبوط؟ يعني بعد ما
+
+332
+00:28:53,530 --> 00:28:59,750
+يطلع معايا الرقم هذا بروح باطرح تلاتة بصير ايش؟
+
+333
+00:29:00,600 --> 00:29:05,940
+بصير واقع في الـ Range من سلب تلاتة لتلاتة وبس هو
+
+334
+00:29:05,940 --> 00:29:10,180
+الكلام هذا أيضا للوعي هذه الآن القيم هي اللي بتخش
+
+335
+00:29:10,180 --> 00:29:17,460
+على المعادلة مش ال .. مش ال 138القيم هذه الـ
+
+336
+00:29:17,460 --> 00:29:21,520
+metametry بعد ما احولها للعشرها ده للكاسرها ده
+
+337
+00:29:21,520 --> 00:29:25,620
+بدخلها على معادع ال F علشان اطلع ال value و بسوي
+
+338
+00:29:25,620 --> 00:29:29,460
+هذه الكلام لكل ال chromosomes و بشوف ال fitness و
+
+339
+00:29:29,460 --> 00:29:33,420
+على أساس ال fitness و ال rollate بعمل اللي هو ال
+
+340
+00:29:33,420 --> 00:29:38,410
+..طلع الـ Representation تبع المسألة هذه تعطيكي
+
+341
+00:29:38,410 --> 00:29:43,210
+فكرة كويسة عن الـ Genetic Algorithm أول شي أن هاي
+
+342
+00:29:43,210 --> 00:29:50,090
+عندك هنا قولي هذا الـ X وهذا الـ Y وهي ال values
+
+343
+00:29:50,090 --> 00:29:53,230
+تتراح من تلاتة إلى ناقص تلاتة ناقص تلاتة و تلاتة
+
+344
+00:29:53,230 --> 00:29:57,530
+يعني هاي الـ Zero و Zero جايين في النص هذا الآن ال
+
+345
+00:29:57,530 --> 00:30:04,760
+surface يمثل قيم ال Fيعني عند أي واحد من هدول
+
+346
+00:30:04,760 --> 00:30:10,520
+النقاط هم عبارة عن X مع Y، عبارة عن solutions، كل
+
+347
+00:30:10,520 --> 00:30:14,340
+واحد من هدول النقاط يمثل إيش؟Candidate solution
+
+348
+00:30:14,340 --> 00:30:18,260
+فعند هذا ال solution قيمة F الجدد عند هذا ال
+
+349
+00:30:18,260 --> 00:30:22,140
+solution قيمة هكذا لو طلعت على ال surface نفسه فيه
+
+350
+00:30:22,140 --> 00:30:26,360
+ال two maximum واحدة منهم أعلى من التانية صح هذه
+
+351
+00:30:26,360 --> 00:30:29,760
+global maximum هذه ال maximum الأعلى وهذه ال
+
+352
+00:30:29,760 --> 00:30:35,220
+maximum ال local maximum صح ال genetic algorithm
+
+353
+00:30:35,220 --> 00:30:41,290
+ممكنبالعشوائية تبعتها كل ال solutions الستة دول
+
+354
+00:30:41,290 --> 00:30:44,730
+الست واحد اتنين تلاتة اربع خمسة الست اللي هم الست
+
+355
+00:30:44,730 --> 00:30:48,850
+اللي بيكونوا ال generation كلهم يروحوا خطأ ان
+
+356
+00:30:48,850 --> 00:30:54,450
+يتواكموا عالمين على او يتجمعوا عليها او حوالين ال
+
+357
+00:30:54,450 --> 00:31:03,310
+local maximum و يضيعوا الاش يضيعوا اش ال global
+
+358
+00:31:03,310 --> 00:31:08,400
+هذا الكلامإذا كان عدد ال iterations صغير لكن لما
+
+359
+00:31:08,400 --> 00:31:13,860
+نزود عدد ال iterations مع العشوائية واحدة منهم إما
+
+360
+00:31:13,860 --> 00:31:18,440
+بال crossover أو بال mutation ت flat أو تخرج من
+
+361
+00:31:18,440 --> 00:31:23,520
+النطاقة ده وتبدأ تنتقل حتى وإن كان تنخفض في ال
+
+362
+00:31:23,520 --> 00:31:27,840
+value تبعها بس بعدها ممكن تبدأ تتحسن تاني إلى أن
+
+363
+00:31:27,840 --> 00:31:33,900
+تصل إلى ال global maximumماشي الحال .. هذا بيوريكي
+
+364
+00:31:33,900 --> 00:31:41,220
+بعد .. هذا في البداية .. هذا ال first generation و
+
+365
+00:31:41,220 --> 00:31:48,040
+بعد هيك .. هي تبعد ..
+
+366
+00:31:48,040 --> 00:31:53,520
+مش كاتب عدد ال iterations المهم راحظي انه اتجمعوا
+
+367
+00:31:53,520 --> 00:31:58,110
+على ال local minima ال local minimum okayال local
+
+368
+00:31:58,110 --> 00:32:01,290
+maximum أنا اسف ال local maximum بعد هيك اه okay
+
+369
+00:32:01,290 --> 00:32:07,350
+انتقلوا على ال ال global maximum تمام هيا اتوا هنا
+
+370
+00:32:07,350 --> 00:32:14,970
+بيعرضلك اللي هو ايش بعد
+
+371
+00:32:14,970 --> 00:32:22,930
+خمسين ات .. من عند هنا ليلة الخمسين و هم لسه لسه
+
+372
+00:32:22,930 --> 00:32:27,770
+على ال local maximumبعد الخمسين .. بعد الخمس و
+
+373
+00:32:27,770 --> 00:32:32,970
+خمسين انتقلوا من خلال ال .. ال cross over و ال
+
+374
+00:32:32,970 --> 00:32:37,410
+mutation انتقلوا و بدأوا يتحسنوا الى وصلوا لش ..
+
+375
+00:32:37,410 --> 00:32:41,530
+لل global maximum تمام؟
+
+376
+00:32:41,530 --> 00:32:45,970
+طيب اخر اشي بدنا نحكيه و هو انه لو انا بدنا نطلع
+
+377
+00:32:45,970 --> 00:32:49,430
+على مقارنة ما بين هذا الكلام و ما بين ال linear
+
+378
+00:32:49,430 --> 00:32:54,160
+programming ال linear programmingزي هنا في ان دي
+
+379
+00:32:54,160 --> 00:32:58,240
+هناك في objective function وهنا في objective
+
+380
+00:32:58,240 --> 00:33:02,200
+function هناك
+
+381
+00:33:02,200 --> 00:33:06,760
+في constraint وهنا اما في او مافيش يعني في هذه
+
+382
+00:33:06,760 --> 00:33:10,260
+المسألة في current constraint واحد اللي هو ان يبقى
+
+383
+00:33:10,260 --> 00:33:14,030
+قيمهم بين الناقص تلاتة والتلاتةالمثال الأولى اللى
+
+384
+00:33:14,030 --> 00:33:17,050
+كانت خمس عشر X نقص X تربية ماكانش فيها constraint
+
+385
+00:33:17,050 --> 00:33:20,810
+تمام فال genetic algorithm ما بتشترط ان يكون فيه
+
+386
+00:33:20,810 --> 00:33:24,790
+constraints الشغل التانى اللى هو هذا ال surface لو
+
+387
+00:33:24,790 --> 00:33:30,010
+انت طلعت عليه هذا non-linear هذا non-linear ال
+
+388
+00:33:30,010 --> 00:33:37,340
+linear programming problemتشترط أن الـ objective
+
+389
+00:33:37,340 --> 00:33:39,440
+function تكون linear function في الـ linear
+
+390
+00:33:39,440 --> 00:33:43,280
+function ال surface هذا plain و ال plain هذا ممكن
+
+391
+00:33:43,280 --> 00:33:50,680
+يبقى مائل على ناحية اخرى وهذا اللي بيجعل ان واحد
+
+392
+00:33:50,680 --> 00:33:56,420
+من الحفف تبع ال feasible region تكون جاية على
+
+393
+00:33:56,420 --> 00:34:01,730
+الحفة او على العلى الـ value العالي في ال .. يعني
+
+394
+00:34:01,730 --> 00:34:08,370
+انا ببدأ ارسم على three dimensional و هرسم plane و
+
+395
+00:34:08,370 --> 00:34:13,370
+بعدين اتي احدد region هذا ال region هيبقى الطرف
+
+396
+00:34:13,370 --> 00:34:16,550
+هذا .. شوف هذه ال plane عالي من هنا و منخفض من هنا
+
+397
+00:34:16,550 --> 00:34:20,770
+هيبقى هذا الطرف من ال region قيم ال function فيه
+
+398
+00:34:20,770 --> 00:34:23,590
+عالية وهذا الطرف من ال region قيم ال function فيه
+
+399
+00:34:23,590 --> 00:34:29,360
+منخفضة صح؟ فهيجي حفة من حفة في ال regionالـ
+
+400
+00:34:29,360 --> 00:34:32,320
+function فيها هالية والحفف الأخر تبقى منخفضة وهذا
+
+401
+00:34:32,320 --> 00:34:35,360
+اللي بيجعل ان ال extreme points تكون واحدة منهم
+
+402
+00:34:35,360 --> 00:34:41,860
+مرشحة ان تكون فيها ال maximum بينما هنا هاي الحفف
+
+403
+00:34:44,650 --> 00:34:48,310
+بينما ال maximum وين موجودة فى النص فماقدر اعملية
+
+404
+00:34:48,310 --> 00:34:51,030
+استخدم ال linear programming problem لان ال
+
+405
+00:34:51,030 --> 00:34:54,890
+simplex
+
+406
+00:34:54,890 --> 00:35:00,070
+method تعتمد على ان ال solution موجود فى ال
+
+407
+00:35:00,070 --> 00:35:03,650
+extreme points و هنا فى ال non linear problem ال
+
+408
+00:35:03,650 --> 00:35:06,610
+solutionمش بالضرورة يكون موجود على extreme point،
+
+409
+00:35:06,610 --> 00:35:10,490
+ممكن يكون في الوسط فما بنقدر نستخدم ال linear
+
+410
+00:35:10,490 --> 00:35:14,130
+programming للإيش؟ لل non-linear objective
+
+411
+00:35:14,130 --> 00:35:21,990
+functions تمام، تمام، خلاص زي ما قلت أنا، بنحدد
+
+412
+00:35:21,990 --> 00:35:27,470
+مسألة تسويها homework وبنسبة للامتحان اللي
+
+413
+00:35:27,470 --> 00:35:29,410
+مابيغطيش ال genetic algorithm
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..80ad0a12596f916478f4fbdea7d69a1427b0776a
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Du9ozflrBzg_raw.srt
@@ -0,0 +1,1660 @@
+1
+00:00:20,920 --> 00:00:23,720
+ماشي الحال بسم الله الرحمن الرحيم الصلاة والسلام
+
+2
+00:00:23,720 --> 00:00:29,380
+علي أشرف المرسلين اليوم احنا ان شاء الله بدنا ناخد
+
+3
+00:00:29,380 --> 00:00:34,340
+خورزمية متصلة بال iterative improvement كان
+
+4
+00:00:34,340 --> 00:00:37,180
+موضوعنا احنا المحاضرة الماضية ال iterative
+
+5
+00:00:37,180 --> 00:00:41,220
+improvement وشوفنا ال linear programming problem
+
+6
+00:00:41,220 --> 00:00:48,350
+ومعالجتها بال simplex methodأه ال simplex method و
+
+7
+00:00:48,350 --> 00:00:52,610
+ال linear programming problem في الآخر الهدف كان
+
+8
+00:00:52,610 --> 00:00:56,150
+اللي هو أو كان ال style هو انه iterative
+
+9
+00:00:56,150 --> 00:01:02,230
+improvement يعني تحسين البداية ب solution .. ب
+
+10
+00:01:02,230 --> 00:01:09,010
+solution يعني معين و تحسين كل iteration تحسين ال
+
+11
+00:01:09,010 --> 00:01:11,930
+solution إلى أن نصل إلى ال optimum كانت
+
+12
+00:01:11,930 --> 00:01:16,150
+maximization problemالان هتطلع على نوع اخر من ال
+
+13
+00:01:16,150 --> 00:01:20,790
+maximization او من ال algorithms اللي بتتعامل مع
+
+14
+00:01:20,790 --> 00:01:24,530
+ال maximization ال algorithm هي اسمه ال genetic
+
+15
+00:01:24,530 --> 00:01:29,390
+algorithm وهي عبارة عن style من العمل يعني هي في
+
+16
+00:01:29,390 --> 00:01:35,350
+حد ذاتها صنف بس ايضا متصلة بال iterative
+
+17
+00:01:35,350 --> 00:01:40,150
+improvement لان اسلوبها في العمل بيشتغل بالتحسين
+
+18
+00:01:40,150 --> 00:01:42,570
+التدريجي الى ان نصل ال maximum
+
+19
+00:01:46,350 --> 00:01:53,130
+بنطلع على مثال صغير تذكروا كان عندنا في المحاضرة
+
+20
+00:01:53,130 --> 00:01:59,550
+الماضية function كانت تلاتة X زاد خمسة Y هذه ال
+
+21
+00:01:59,550 --> 00:02:03,590
+function linear مظبوط أن هنا ال function هذه
+
+22
+00:02:03,590 --> 00:02:05,050
+nonlinear صح؟
+
+23
+00:02:09,590 --> 00:02:15,410
+15x نقص x تربية لو احنا بدنا نعمل maximization
+
+24
+00:02:15,410 --> 00:02:21,530
+لهذه ال equation يعني خلينا نقول f of x بتساوي هذا
+
+25
+00:02:21,530 --> 00:02:25,530
+الكلام يعني بدنا ندور على قيمة ال x هنا متغير واحد
+
+26
+00:02:25,530 --> 00:02:31,250
+متغير واحد اللي هو ال x قيمة ال x اللي بتحقق أعلى
+
+27
+00:02:31,250 --> 00:02:36,580
+value لل fالـ Genetic Algorithm Approach لـ
+
+28
+00:02:36,580 --> 00:02:43,160
+Maximization هو إنه إحنا بنيجي بنعمل Set of مجموعة
+
+29
+00:02:43,160 --> 00:02:49,120
+من الـ Random Solutions و بنختبرها و بنشوف أصلح
+
+30
+00:02:49,120 --> 00:02:55,540
+الموجود أصلح مجموعة فرعية منها و من هذه الأصلح
+
+31
+00:02:55,540 --> 00:03:00,580
+يعني بنعمل مجموعة أساسية، قولي مثلا عشرين solution
+
+32
+00:03:00,580 --> 00:03:06,480
+كلهم Randomبنقيمهم و بنطلع أحسن ربع يعني أحسن خمسة
+
+33
+00:03:06,480 --> 00:03:11,140
+و من أحسن خمسة بنروح بنعمل generation ل new عشرين
+
+34
+00:03:11,140 --> 00:03:17,140
+تانيات جداد من الخمسة كل generation أو كل مجموعة
+
+35
+00:03:17,140 --> 00:03:21,640
+بتكون نفس العدد عشرين عشرين عشرين عملنا العشرين
+
+36
+00:03:21,640 --> 00:03:26,000
+الأولانيات عشوائية أخدنا أصلح خمسة من الأصلح خمسة
+
+37
+00:03:26,000 --> 00:03:29,520
+عملنا العشرين الجداد العشرين الجداد هنعمل عليهم
+
+38
+00:03:29,520 --> 00:03:35,590
+نفس الاشياء هنقيمهمو ناخد أصلح خمسة و نكرر إلى أن
+
+39
+00:03:35,590 --> 00:03:43,790
+يصبح من ال generation للي بعده مافيش فرق مافيش فرق
+
+40
+00:03:43,790 --> 00:03:48,550
+يعني الأصلح هنا و الأصلح هنا نفس الاشي نفس
+
+41
+00:03:48,550 --> 00:03:54,550
+مابيعطينيش أي تحسن احنا جايبنا نصل تحسن .. بنعمل
+
+42
+00:03:54,550 --> 00:03:57,870
+تحسن تدريجي لحدين مانوصل ل maximum طب أنا جايت
+
+43
+00:03:57,870 --> 00:04:02,980
+بعمل تحسنبعمل العملية وما بيجيش تحسن يقول خلاص أنا
+
+44
+00:04:02,980 --> 00:04:08,740
+وصلت ل ال maximum اللي يمكن الوصول اليه خلينا نطلع
+
+45
+00:04:08,740 --> 00:04:12,380
+على هذا الكلام بشكل عملي كمثال هاي ال function
+
+46
+00:04:12,380 --> 00:04:18,340
+تبعتنا اللي بدنا نعملها maximization بدنا
+
+47
+00:04:18,340 --> 00:04:23,540
+نعمل generation من ستة من ستة
+
+48
+00:04:27,840 --> 00:04:36,680
+6 random solutions X1 X6 يرمزوا إلى ال solutions
+
+49
+00:04:36,680 --> 00:04:43,000
+كل solution يتكوّن من أربعة bits الأولة نقل جاي
+
+50
+00:04:43,000 --> 00:04:49,620
+1100 اللي بعده 0100 كل واحد من هدولة عبارة عن
+
+51
+00:04:50,550 --> 00:04:54,730
+Solutions عشوائية الان كل رقم كل binary
+
+52
+00:04:54,730 --> 00:05:00,470
+combination يمثلها او يقابلها decimal integer صح؟
+
+53
+00:05:00,470 --> 00:05:08,030
+يعني هذا 12 هذا 4 هذا 1 هذا 12 زي 1 زي 2 14 صح؟
+
+54
+00:05:08,030 --> 00:05:13,490
+okay هذا الان هذا الان هي القيم تبع ال .. تبع ال
+
+55
+00:05:13,490 --> 00:05:17,850
+random values لل X لناخد كل واحدة منهم و نعوض في
+
+56
+00:05:17,850 --> 00:05:28,930
+في Fفعند القيمة 12 F of X جداش F of 12 بيساوي 15
+
+57
+00:05:28,930 --> 00:05:38,650
+في 12 ناقص 12 تربية اللي هي 12
+
+58
+00:05:38,650 --> 00:05:45,710
+تربية اللي هي 144 انت تطلع عليها كالتالي 12 تربية
+
+59
+00:05:45,710 --> 00:05:52,140
+هي 12 12 وانا 15 12خمستاش ناقص اتناش ثلاث اتناشات
+
+60
+00:05:52,140 --> 00:05:58,100
+يعني ستة و تلاتين صح؟ بدون ما احسبها دي جداش و
+
+61
+00:05:58,100 --> 00:06:01,200
+احسبها دي جداش على طول ستة و تلاتينية طب ماشي
+
+62
+00:06:01,200 --> 00:06:06,940
+الحال اللي هو F في أربعة خمستاش
+
+63
+00:06:06,940 --> 00:06:12,760
+في أربعة ناقص أربعة تربيع ستة عشر ماشي هذه لحالها
+
+64
+00:06:12,760 --> 00:06:18,850
+ستين ولا لا ناقص ستة عشر أربعة و أربعين مظبوط؟الان
+
+65
+00:06:18,850 --> 00:06:22,330
+هاد ال .. احنا .. احنا هدفنا أو هدفنا في ال ..
+
+66
+00:06:22,330 --> 00:06:26,610
+يعني هدفنا اللي هو أعلى قيمة، okay؟ فمن الطبيعي
+
+67
+00:06:26,610 --> 00:06:29,530
+هاد أعلى قيمة، بس احنا مش عارفين، يمكن لسه في أعلى
+
+68
+00:06:29,530 --> 00:06:33,790
+منها، يمكن لسه فيها عامة، فبنعمل .. بناخد هدولة،
+
+69
+00:06:33,790 --> 00:06:37,670
+بنعمل منهم generation جديد، وبشوف اللي ربما يطلع
+
+70
+00:06:37,670 --> 00:06:42,750
+منيش .. يطلع معايا اشي أعلى من ال .. من ال 56الان
+
+71
+00:06:42,750 --> 00:06:51,610
+هذه الأرقام هي ال fitness measure هي مقياس من
+
+72
+00:06:51,610 --> 00:06:57,810
+الأصلح في هذه ال solutions هو اللي أعلى value صح؟
+
+73
+00:06:58,090 --> 00:07:02,130
+الان احنا مش هننظر الى هذا القيمة هناخد من هذه
+
+74
+00:07:02,130 --> 00:07:05,910
+ناخد منها حاجة اسمة ال fitness ratio ال fitness
+
+75
+00:07:05,910 --> 00:07:11,070
+ratio هو باختصار كل قيمة من هذه القيمة اول شي
+
+76
+00:07:11,070 --> 00:07:16,410
+بنجمع المجموع كله يعني ال 36 و 44 جدش بطلع؟ 36 و
+
+77
+00:07:16,410 --> 00:07:26,810
+44 .. 70 .. 80 .. 28 .. 110 .. جدش؟
+
+78
+00:07:30,460 --> 00:07:33,680
+تمانية مائة و تمانية و تمانية و تمانية و تمانية و
+
+79
+00:07:33,680 --> 00:07:39,360
+تمانية
+
+80
+00:07:39,360 --> 00:07:42,320
+و تمانية و تمانية و تمانية و تمانية و تمانية و
+
+81
+00:07:42,320 --> 00:07:42,340
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+82
+00:07:42,340 --> 00:07:42,380
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+83
+00:07:42,380 --> 00:07:42,660
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+84
+00:07:42,660 --> 00:07:42,760
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+85
+00:07:42,760 --> 00:07:44,600
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+86
+00:07:44,600 --> 00:07:44,600
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+87
+00:07:44,600 --> 00:07:44,600
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+88
+00:07:44,600 --> 00:07:45,240
+تمانية و تمانية و تمانية و تمانية و تمانية و
+
+89
+00:07:45,240 --> 00:07:50,920
+تمانية و تمانية و تمانية و
+
+90
+00:07:50,920 --> 00:07:54,750
+تمانية و تمOkay ال ratio ده إيه له دور في الكلام
+
+91
+00:07:54,750 --> 00:07:58,270
+اللي .. الخطوة اللاحقة و هي إن عملية ال .. إحنا
+
+92
+00:07:58,270 --> 00:08:01,190
+بدنا ناخد أفضل مجموعة .. أفضل مجموعة فرعية من ال
+
+93
+00:08:01,190 --> 00:08:05,270
+.. okay؟ بدنا ناخد أفضل مجموعة و نولد .. و نولد
+
+94
+00:08:05,270 --> 00:08:10,090
+منهم generate a new set .. a new generation of
+
+95
+00:08:10,090 --> 00:08:17,010
+solutions okay؟ عملية توليد ال generation الجديد
+
+96
+00:08:17,010 --> 00:08:20,150
+بتتم من خلال حاجة اسمة genetic operators
+
+97
+00:08:25,540 --> 00:08:29,600
+operators عمليات يعني في حاجة عملية اسمة crossover
+
+98
+00:08:29,600 --> 00:08:33,200
+في
+
+99
+00:08:33,200 --> 00:08:40,560
+عملية أخرى اسمة mutation ال crossover
+
+100
+00:08:40,560 --> 00:08:48,200
+ببساطة ان احنا بنيجي على two parents افترض لأ
+
+101
+00:08:48,200 --> 00:08:53,210
+خلينا نشوف مين أصلح اتنين لهم دولةzero واحد واحد
+
+102
+00:08:53,210 --> 00:08:58,690
+واحد والتاني واحد زيرو زيرو واحد وبروح لعملين نقطة
+
+103
+00:08:58,690 --> 00:09:07,170
+فصل وبناخد الجزء الأولاني من هذا الان هذا الان
+
+104
+00:09:07,170 --> 00:09:11,070
+نسمي
+
+105
+00:09:11,070 --> 00:09:15,610
+parent one وهذا parent two بنطلع منهم ال child one
+
+106
+00:09:15,610 --> 00:09:18,890
+و ال child two تمام؟
+
+107
+00:09:21,460 --> 00:09:26,680
+Child 1 بيكون نص ال parent الأول مع نص التاني من
+
+108
+00:09:26,680 --> 00:09:36,720
+ال parent التاني واضح؟
+
+109
+00:09:36,720 --> 00:09:44,840
+أخدت نص من هنا مع نص من هنا okay هيك أنا عملت
+
+110
+00:09:44,840 --> 00:09:48,960
+cross over ما بين two parents عشان أطلع two
+
+111
+00:09:48,960 --> 00:09:49,420
+children
+
+112
+00:09:51,970 --> 00:09:55,250
+وبسوي الكلام هيطلع معايا اتنين انا ال generation
+
+113
+00:09:55,250 --> 00:09:59,950
+كله ستة بدي ستة يعني بدي اعمل كمان اتنين وكمان
+
+114
+00:09:59,950 --> 00:10:06,650
+اتنين واضح؟ ناخد الأصلح و بنعمل منهم ال children
+
+115
+00:10:06,650 --> 00:10:10,770
+يفترض الآن هدول ال children لأنهم جايين من الأصلح
+
+116
+00:10:10,770 --> 00:10:15,150
+ان يكونوا المجموعة
+
+117
+00:10:15,150 --> 00:10:18,850
+هذه الست الشداد افضل من الست الاولانين افضل
+
+118
+00:10:18,850 --> 00:10:26,630
+بالمجمل يعنيواضح يعني مثلًا تطلع أيه؟
+
+119
+00:10:32,680 --> 00:10:36,940
+طلع هاي الرسم هاد، معلش صغير الكلام فيها، بس لو
+
+120
+00:10:36,940 --> 00:10:40,380
+لاحظت هاي ال generation الأولاني، بعد ما دارت
+
+121
+00:10:40,380 --> 00:10:43,820
+الدارة و عملنا generation جديد، طلع الأرقام اللي
+
+122
+00:10:43,820 --> 00:10:47,540
+هنا، فيه عندك اتنين في الخمسينات، واحد في
+
+123
+00:10:47,540 --> 00:10:49,880
+الأربانات، واحد في التلاتينات، واحد في العشرات،
+
+124
+00:10:49,880 --> 00:10:55,100
+صح؟ الجيل الجديد، فيه عندي أربعة في الخمسيناتو2 في
+
+125
+00:10:55,100 --> 00:10:58,380
+الأربعينات ومافيش تلاتينات وعشرات يبقى بالمجمل
+
+126
+00:10:58,380 --> 00:11:03,820
+هدول أصلح من اللي قبلهم ويفترض أنه التحسن هذا من
+
+127
+00:11:03,820 --> 00:11:09,500
+جيل لجيل يستمر إلى أن أصل إلى أن والله الجيل
+
+128
+00:11:09,500 --> 00:11:15,620
+الجديد مافيش تحسن كبير يذكر يعني ما بينه وما بين
+
+129
+00:11:15,620 --> 00:11:19,700
+اللي قبله ويبقى خلاص نعتبر هذا هو ال maximumنرجع
+
+130
+00:11:19,700 --> 00:11:23,260
+تاني لان عشان برضه نشوف عملية الـ crossover شوفنا
+
+131
+00:11:23,260 --> 00:11:27,560
+الـ crossover عشان نشوف ال mutation ال mutation هي
+
+132
+00:11:27,560 --> 00:11:31,440
+ببساطة طالع على الرسم هذه في رسم تاني أوضح منها
+
+133
+00:11:31,440 --> 00:11:35,460
+قبل هيتها ال mutation انه احنا هاي ال generation
+
+134
+00:11:35,460 --> 00:11:38,940
+الجديد بعد عملية ال crossover بعد ما ولدنا ال
+
+135
+00:11:38,940 --> 00:11:44,060
+children لجداد روحنا جينا قولنا ب .. برضه ب
+
+136
+00:11:44,060 --> 00:11:51,010
+probability يعني بعشوائيةاخترنا واحد واخترنا واحدة
+
+137
+00:11:51,010 --> 00:11:57,010
+من ال bits و جلبناها هذا الواحد كان كلهم ones
+
+138
+00:11:57,010 --> 00:12:01,210
+فانجلبت ال one إلى zero و أصبح one zero one one
+
+139
+00:12:01,210 --> 00:12:04,770
+هذا ال mutation في اللغة يعني طفرة طفرة في ال
+
+140
+00:12:04,770 --> 00:12:08,770
+biology ان واحد من الجينات يتسير عليه تغيير غير
+
+141
+00:12:08,770 --> 00:12:18,160
+متوقع وبقيمة بعيدة عن القيمة السابقةOkay فهذا هو
+
+142
+00:12:18,160 --> 00:12:21,820
+المقصود بالـ mutation هنا عندنا انه واحد من ال ..
+
+143
+00:12:21,820 --> 00:12:24,760
+هدولة برضه اسم جينات على فكرة احنا يعني ال
+
+144
+00:12:24,760 --> 00:12:27,260
+solution الواحد بلغة ال .. بلغة ال genetic
+
+145
+00:12:27,260 --> 00:12:31,460
+algorithm ال solution الواحد بنسميه chromosome و
+
+146
+00:12:31,460 --> 00:12:38,530
+البت الواحد ده بنسميها gene okay gene زي يعنيالـ
+
+147
+00:12:38,530 --> 00:12:41,910
+mutation هي إن واحد من ال genes هذا يتعمل عليه
+
+148
+00:12:41,910 --> 00:12:45,930
+تغير عشوائي، عندي أنا هنا الجينات كلها binary،
+
+149
+00:12:45,930 --> 00:12:48,810
+يعني zeros و ones، فلما واحد بده يتغير، بده يتغير
+
+150
+00:12:48,810 --> 00:12:51,550
+من إيش ليش، يا ما هو zero يصبح one، يا ما one يصبح
+
+151
+00:12:51,550 --> 00:12:55,150
+zero، لكن في بعض ال problems الجينات هذه ممكن تبقى
+
+152
+00:12:55,150 --> 00:13:00,970
+أرقام عشرية أو أحرف، فممكن إيش التغير يبقى من أي
+
+153
+00:13:00,970 --> 00:13:04,630
+رقم فيها إلى .. من أي رقم من الأرقام المسموحة إلى
+
+154
+00:13:04,630 --> 00:13:08,150
+رقم آخرالمهم هي مفهوم الـ cross .. واضح ايش يعني
+
+155
+00:13:08,150 --> 00:13:11,810
+crossover واضح ايش يعني mutation okay لان هدول
+
+156
+00:13:11,810 --> 00:13:16,050
+العمليتين بي .. يعني حتى لان كل ال .. ال algorithm
+
+157
+00:13:16,050 --> 00:13:20,750
+عشوائي في عشوائي بس اللي بيحصل انه في شوية .. يعني
+
+158
+00:13:20,750 --> 00:13:24,950
+ال .. الانضباط الوحيد في الشغل هنا انه بتتم
+
+159
+00:13:24,950 --> 00:13:32,070
+الاختيار الأصلح زاد كمان انه احنا ال ..
+
+160
+00:13:35,470 --> 00:13:39,290
+الـ crossover هي الـ crossover واضحة زي ما ضربت
+
+161
+00:13:39,290 --> 00:13:47,690
+المثال انا هنا انه هي x6 و x2 على النص أخدنا الشق
+
+162
+00:13:47,690 --> 00:13:52,710
+هذا okay أخدنا الشق هذا و حطينا هنا و هذا حطينا
+
+163
+00:13:52,710 --> 00:13:54,530
+بداله فطلع معايا واحد
+
+164
+00:14:12,840 --> 00:14:16,180
+ملاحظة أخرى إن الـ crossover point ممكن تيجي في
+
+165
+00:14:16,180 --> 00:14:21,280
+النص أو في أي مكانتمام؟ وممكن تبقى مش بس crossover
+
+166
+00:14:21,280 --> 00:14:24,240
+point واحدة ممكن تبقى تنتين يعني انجسم ال
+
+167
+00:14:24,240 --> 00:14:29,220
+chromosome إلى تلات أجسام ماشي ويستم تبديل واحد من
+
+168
+00:14:29,220 --> 00:14:39,180
+هنا مع واحد من هناك واضح؟ في شغل نرجع احنا اللي هي
+
+169
+00:14:39,180 --> 00:14:45,090
+ال rollet wheel selectionأول اشي ال slides هنا
+
+170
+00:14:45,090 --> 00:14:48,530
+حسبنا ال ratio هي ال fitness حسبنا ال fitness و
+
+171
+00:14:48,530 --> 00:14:52,450
+بعدين طلعنا منه ال ratio صح ال ratio هذا بيكون
+
+172
+00:14:52,450 --> 00:14:56,790
+أساس لعملية اختيار مين ال parents اللي ان عمل
+
+173
+00:14:56,790 --> 00:15:01,690
+عليها crossover عشان نطلع ل new children ال relate
+
+174
+00:15:01,690 --> 00:15:10,670
+wheel هذه جاي على أساس ال ratios هتلاقي انه الالـ
+
+175
+00:15:10,670 --> 00:15:16,350
+chromosome اللي ال ratio تبعه عالي هى هذا الأسود
+
+176
+00:15:16,350 --> 00:15:21,170
+هيته والأخضر هيته هيبقى مساحته أو حصته في ال wheel
+
+177
+00:15:21,170 --> 00:15:27,790
+أكبر بتتناسب بالظبط جد ال ratio تبعه احنا لان لما
+
+178
+00:15:27,790 --> 00:15:34,450
+بدنا نجي نعمل selection بتتم توليد رقم عشوائي من 0
+
+179
+00:15:34,450 --> 00:15:39,440
+ل100فهنا الرقم العشوائي هذا جاي في أظن على حدود
+
+180
+00:15:39,440 --> 00:15:43,200
+بعد التمانين يقول مثلا تلاتة وتمانين تلاتة تمانين
+
+181
+00:15:43,200 --> 00:15:50,700
+في المية لأن وين أجى فحصت مين فحصت X6 يبقى بتم
+
+182
+00:15:50,700 --> 00:16:00,420
+اختيار X6 okay لو جينا عملنا new number وطلع
+
+183
+00:16:00,420 --> 00:16:08,910
+سبعتاش هي جيناصح؟ في حصة مين؟ في حصة X3 .. X2 اسف
+
+184
+00:16:08,910 --> 00:16:14,750
+.. X2 اي رقم عشوائي هيجي في حصة واحد من هدولة الان
+
+185
+00:16:14,750 --> 00:16:21,770
+اللي ال ratio تبعه واسع حصته و فرصته اكبر صح؟ هذا
+
+186
+00:16:21,770 --> 00:16:29,190
+.. هذا حصته ضيقة مظبوط؟ لذلك احتمالية انه ييجي
+
+187
+00:16:29,190 --> 00:16:35,430
+عليه السهم او random number اضعفوهذا منطقي أننا
+
+188
+00:16:35,430 --> 00:16:41,250
+نختار الأصلح بمعنى أننا نطبق هذا الاسلوب أو هذه
+
+189
+00:16:41,250 --> 00:16:45,590
+التكنيك نختار الأصلح الأصلح هو ال ratio تبعه أعلى
+
+190
+00:16:45,590 --> 00:16:48,870
+وبالتالي مساحته أوسع وبالتالي فرصته في الاختيار
+
+191
+00:16:48,870 --> 00:16:53,150
+أعلى فاللي بيصير أنه أنا بدي أعمل generation ل 6
+
+192
+00:16:53,150 --> 00:17:00,870
+new يعني بدي أعمل X1 prime X2 prime X3 prime X4
+
+193
+00:17:01,740 --> 00:17:09,500
+prime x5 جديد و x6 جديد تمام؟ بنعمل random number
+
+194
+00:17:09,500 --> 00:17:13,880
+و ال random number هذا اذا أجى في حصة مين بيختار
+
+195
+00:17:13,880 --> 00:17:17,920
+هذا بيكون اللي اختارناه هذا parent 1 بنعمل مرة
+
+196
+00:17:17,920 --> 00:17:23,560
+أخرى عشان نختار parent 2 تمام؟
+
+197
+00:17:23,560 --> 00:17:29,840
+خلاص بيعمل ال crossover بيطلعه ليه ال
+
+198
+00:17:29,840 --> 00:17:35,330
+new childrenOkay مرة تانية في ال relay wheel عشان
+
+199
+00:17:35,330 --> 00:17:41,330
+تطلعلي two new parents و .. و .. ايش معانا الكلام؟
+
+200
+00:17:41,330 --> 00:17:44,750
+معانا الكلام ان ممكن ال parent الواحد من هدول اللي
+
+201
+00:17:44,750 --> 00:17:48,510
+حصتهم كبيرة و ال ratio تبعهم عالي يدخل في ال
+
+202
+00:17:48,510 --> 00:17:53,090
+crossover أكتر من مرة صح ولا لا؟ و اللي حسته ضيفه
+
+203
+00:17:53,090 --> 00:17:59,470
+مايدخلش بالمرة و هذا اشي مطلوب ولا لا؟ اشي مطلوب
+
+204
+00:17:59,470 --> 00:18:05,860
+فعنا احنا الآنهذا الـ roulette wheel هي آلية
+
+205
+00:18:05,860 --> 00:18:11,460
+اختيار ال parents عشان نطلع منهم عشان ندخلهم على
+
+206
+00:18:11,460 --> 00:18:19,280
+ال crossover عشان يطلع منهم children ال mutation
+
+207
+00:18:19,280 --> 00:18:22,080
+أيضا لها آلية limitation
+
+208
+00:18:25,690 --> 00:18:30,590
+الـ mutation أصلا بيتم بعد ما يتم كل الـ crossover
+
+209
+00:18:30,590 --> 00:18:36,850
+بعد ما يتم توليد كل ال generation الستة بيتم بعد
+
+210
+00:18:36,850 --> 00:18:41,910
+ذلك ندفع عليهم عشان نحدد مين منهم يتم عليه ال
+
+211
+00:18:41,910 --> 00:18:46,990
+mutation فبيبقى فيه عندنا probability وبتبقى
+
+212
+00:18:46,990 --> 00:18:52,630
+منخفضة جدا قولي مثلا واحد
+
+213
+00:18:52,630 --> 00:18:57,840
+في الميةالـ Random number برضه كمان نعمل random
+
+214
+00:18:57,840 --> 00:19:03,360
+number الـ Random number هذا case أجه 1% أو أقل
+
+215
+00:19:03,360 --> 00:19:09,380
+بيطبق ال mutation أعلى من ما بيطبقش يعني أنا الان
+
+216
+00:19:09,380 --> 00:19:14,040
+واقف هنا بدي أقرر هل أعمله mutation ولا لأ نولد ال
+
+217
+00:19:14,040 --> 00:19:17,120
+Random number ال Random number هذا مرشح جدا أن
+
+218
+00:19:17,120 --> 00:19:22,740
+يبقى أعلى من 1%فلأنه هيطلع أعلى من واحد في المية
+
+219
+00:19:22,740 --> 00:19:27,180
+فمش هينطبق فقط لما ييجي random number هذا واحد أو
+
+220
+00:19:27,180 --> 00:19:32,180
+أقل بنروح بننفس mutation يبقى إيش مهنة ذلك عملية
+
+221
+00:19:32,180 --> 00:19:37,160
+ال mutation هتحدث على نسبة ضئيلة من ال .. إيش؟ من
+
+222
+00:19:37,160 --> 00:19:43,340
+ال chromosomes هذه صح؟ صح؟ وهذا .. وهذا المنطق أنه
+
+223
+00:19:43,340 --> 00:19:47,320
+أصلا الاسم هو اسم هتفرق يعني بتحصل .. نادرا بتحصل،
+
+224
+00:19:47,320 --> 00:19:47,860
+مظبوط؟
+
+225
+00:19:51,010 --> 00:19:54,770
+فكذلك الحال مين من ال bits اللي بدها تتعمل عليها
+
+226
+00:19:54,770 --> 00:19:58,650
+ال mutation يعني خلاص أنا عملنا random number وطلع
+
+227
+00:19:58,650 --> 00:20:02,330
+أقل من واحد في المية فقررنا إن هذا بدي نعمل عليه
+
+228
+00:20:02,330 --> 00:20:06,990
+mutation طيب أنهي bit برضه بتختار randomly راندملي
+
+229
+00:20:06,990 --> 00:20:10,590
+بتختار واحدة من الأربعة أو إذا كان ال chromosome
+
+230
+00:20:10,590 --> 00:20:16,110
+أطول واحدة منهم اللي بتختار randomly عشان نعمل
+
+231
+00:20:16,110 --> 00:20:22,270
+عليه mutationتمام؟ فأصبح الآن ال cycle .. ال .. ال
+
+232
+00:20:22,270 --> 00:20:26,010
+.. ال .. ال .. ال genetic algorithm ال cycle تبعها
+
+233
+00:20:26,010 --> 00:20:32,330
+أعتقد صارت واضحة الآن أول حاجة بيتم تشكيل اللي هو
+
+234
+00:20:32,330 --> 00:20:35,950
+ال first generation وهذا بيتم تشكيله randomly
+
+235
+00:20:35,950 --> 00:20:40,050
+مافيش parents أصلا اللي نعمل منها نعمل عليها
+
+236
+00:20:40,050 --> 00:20:44,050
+crossover عشان نولد .. بنعمله randomly بنعمل إيش
+
+237
+00:20:44,050 --> 00:20:50,530
+تاني إشي؟ بنعمل evaluationالـ F هنا evaluation لكل
+
+238
+00:20:50,530 --> 00:20:53,710
+واحد منهم، هذا أحياناً الـ F نسميها ال fitness
+
+239
+00:20:53,710 --> 00:20:58,210
+function، okay؟ بين حسب ال fitness، ال fitness
+
+240
+00:20:58,210 --> 00:21:03,850
+يعني إيش، مين أصلح؟ okay، بناء على ال fitness، بين
+
+241
+00:21:03,850 --> 00:21:09,990
+حسب ال fitness ratioبنانا الفيتنس ريشيو بتستخدم
+
+242
+00:21:09,990 --> 00:21:15,070
+الـ roulette wheel عشان يتم اختيار ازواج من هذا ال
+
+243
+00:21:15,070 --> 00:21:21,350
+generation عشان نعمل عليهم crossover عشان
+
+244
+00:21:21,350 --> 00:21:27,810
+نطلع new children طلعنا اتنين ثم اتنين ثم اتنين
+
+245
+00:21:27,810 --> 00:21:31,510
+الى ان يكتمل العدد اللازم اللي هو جدش عناهنا ستة
+
+246
+00:21:31,510 --> 00:21:36,320
+بنعمل زيهم ستة عملنا ستةمن خلال الـ crossover
+
+247
+00:21:36,320 --> 00:21:40,880
+عملنا ستة الآن بدنا نطبق ال mutation بنعمل برضه
+
+248
+00:21:40,880 --> 00:21:46,580
+randomly بنعمل mutation على نسبة ضئيلة من .. منهم
+
+249
+00:21:46,580 --> 00:21:52,660
+okay هذا الآن بعد ال mutation بيصبح generation I
+
+250
+00:21:52,660 --> 00:21:57,400
+plus one ايش بنعمل عليها ده؟ بنعيد الكرة اللي هي
+
+251
+00:21:57,400 --> 00:22:00,720
+بتبدأ من ال fitness calculation بنحسب ال fitness
+
+252
+00:22:00,720 --> 00:22:04,780
+تبعهم و بنختار و بن .. و بنعمل generation لها a
+
+253
+00:22:04,780 --> 00:22:05,000
+new
+
+254
+00:22:07,890 --> 00:22:16,370
+ونستمر إلى إمتى؟ لما بنعمل حسبة، بنعمل طريقة اللي
+
+255
+00:22:16,370 --> 00:22:21,570
+تقارن هدولة ال values معاها بهدولة، هدولة السابقة،
+
+256
+00:22:21,570 --> 00:22:25,390
+وهذا اللاحق، صح؟ اه، يعني ممكن نيجي نعمل مثلا some
+
+257
+00:22:25,390 --> 00:22:28,270
+of absolute differences كيف يعني some of absolute
+
+258
+00:22:28,270 --> 00:22:31,770
+differences؟ هذا نقص اللي عجباله، كل واحد نقص اللي
+
+259
+00:22:31,770 --> 00:22:35,150
+عجباله، هاي ال differences وبناخد ال absolute
+
+260
+00:22:35,150 --> 00:22:36,870
+وبنجمع
+
+261
+00:22:38,170 --> 00:22:41,590
+كل ما كان هدولة مشابهين لهدولة بيكون ال difference
+
+262
+00:22:41,590 --> 00:22:46,670
+صغير، ممكن sum of absolute أو sum of square، يعني
+
+263
+00:22:46,670 --> 00:22:52,250
+نربي ال differences، فبطلع معاه رقم واحد، الرقم
+
+264
+00:22:52,250 --> 00:22:58,390
+هذا كل ما اقترب من ال zero كل ما كان الفرق بسيط أو
+
+265
+00:22:58,390 --> 00:23:03,950
+ضئيلOkay مش بس هيك احنا ممكن نعمل نعقد المثال هذه
+
+266
+00:23:03,950 --> 00:23:07,850
+مش على أساس من generation للي بعده لأ في حاجة اسمة
+
+267
+00:23:07,850 --> 00:23:11,030
+ال epoque ال epoque اللي هي الحقبة الزمنية يعني
+
+268
+00:23:11,030 --> 00:23:13,570
+مجموعة من ال iterations يعني مثلا كل 100
+
+269
+00:23:13,570 --> 00:23:17,330
+iterations هيتبرهم حقبة او كل 20 او 50 iterations
+
+270
+00:23:17,330 --> 00:23:22,760
+هيتبرهم حقبة يعني ال algorithm تمشيمية و كمان مية
+
+271
+00:23:22,760 --> 00:23:26,580
+و كمان مية كل هذا كل مية هيبقى عن حقبة نيجي نقارن
+
+272
+00:23:26,580 --> 00:23:31,580
+حقبة بحقبة يعني بالمجمل ال meet iteration هدولة
+
+273
+00:23:31,580 --> 00:23:36,680
+جداش كان ال error فيهم و نقارن بال meet iteration
+
+274
+00:23:36,680 --> 00:23:41,660
+اللي جابلهم جداش كان ال error و إذا ال error صار
+
+275
+00:23:41,660 --> 00:23:46,720
+مقترب من بعضه يعني مافيش فرق مافيش تحسن خلاص بنمجف
+
+276
+00:23:47,670 --> 00:23:53,870
+فاحنا بنوقف بناءً على عدم وجود تحسن أو ممكن نوقف
+
+277
+00:23:53,870 --> 00:23:59,890
+عند مثلا نقول أنا بدي أمشي عشرين epo يعني عشرين في
+
+278
+00:23:59,890 --> 00:24:02,630
+.. يقولي مثلا كل epo في 100 iteration عشرين في مية
+
+279
+00:24:02,630 --> 00:24:07,050
+هاي ألف iteration واللي بطلع معايا في آخر الألف
+
+280
+00:24:07,050 --> 00:24:12,200
+دولة باخده على أن هو ال maximumوخلاص واضح يعني يا
+
+281
+00:24:12,200 --> 00:24:15,540
+اما بناء على predetermined fixed number of
+
+282
+00:24:15,540 --> 00:24:22,220
+iterations يا اما بناء على انه ال .. ال .. ال
+
+283
+00:24:22,220 --> 00:24:26,820
+error او ال difference يصل الى مستوى معين ال
+
+284
+00:24:26,820 --> 00:24:29,860
+difference ينخفض الى .. وبرضه بنحط ال threshold
+
+285
+00:24:29,860 --> 00:24:34,940
+يعني ال difference مايزيدش .. ينزل على عند الواحد
+
+286
+00:24:34,940 --> 00:24:41,530
+من الف مثلا okay؟الان في مثال تاني صغير هنا برضه،
+
+287
+00:24:41,530 --> 00:24:46,270
+لحظة هي معادلة أخرى، هذه المعادلة شكلها شوية بشع،
+
+288
+00:24:46,270 --> 00:24:50,970
+يعني وين هي وين ال linear، ال linear اللي هي تلاتة
+
+289
+00:24:50,970 --> 00:24:58,170
+X أت خمسة Yوين هذه؟ هذه برضه كمان ممكن تتم التعامل
+
+290
+00:24:58,170 --> 00:25:01,370
+معاها بالـ Genetic Algorithm و لاحظ أنه فيه
+
+291
+00:25:01,370 --> 00:25:08,330
+متغيرين okay ال chromosome الآن هو عبارة عن مشترك
+
+292
+00:25:08,330 --> 00:25:13,890
+يعني نص الأولان منه X و نص التان منه Y ال X و ال Y
+
+293
+00:25:13,890 --> 00:25:18,230
+كل واحد ماخد تمانية bit تمانية bit
+
+294
+00:25:20,930 --> 00:25:25,530
+فصار عندى كلها ده عبارة عن chromosome بإن ان يتعمل
+
+295
+00:25:25,530 --> 00:25:31,730
+منه كذا وكذا عينة ال generation الواحد ممكن يكون
+
+296
+00:25:31,730 --> 00:25:37,630
+مثلا عشرين منهم هدولة okay الآن إيش اللي حيصير إنه
+
+297
+00:25:37,630 --> 00:25:42,750
+نفس القالية .. نفس القالية إنه بدو يتم توليد
+
+298
+00:25:42,750 --> 00:25:51,240
+هالعشرين chromosome تقييمهم كيف نقيمه الآن؟بسيطة
+
+299
+00:25:51,240 --> 00:25:58,580
+بناخد هذا ال binary هذا بنحاول أنه لها decimal صح؟
+
+300
+00:25:58,580 --> 00:26:02,600
+و هذا بنحاول أنه لها decimal و ناخده في المعادلة و
+
+301
+00:26:02,600 --> 00:26:06,920
+بنشوف القيمة خلاص هي هذا ال value و بنحسب أندي
+
+302
+00:26:06,920 --> 00:26:10,040
+عشرين منهم بنحسب له العشرين كلهم و بنشوف مين
+
+303
+00:26:10,040 --> 00:26:12,960
+الأصلحة بناخد .. بنستخدم ال rollet طبعا بنحسب ال
+
+304
+00:26:12,960 --> 00:26:15,860
+ratio في الأول بنستخدم ال rollet عشان ناخدهم
+
+305
+00:26:15,860 --> 00:26:21,400
+اتنينات كل اتنين نطلع منهم اتنين جداد مظبوط؟ okayو
+
+306
+00:26:21,400 --> 00:26:27,560
+على هذا الحل حدث ما نصل إلى combination X مع Y
+
+307
+00:26:27,560 --> 00:26:35,800
+يعطيني أعلى value ل F هذا المثال فيه بس نقطة صغيرة
+
+308
+00:26:35,800 --> 00:26:37,340
+وهي ان هنا مش طرط عليا
+
+309
+00:26:40,040 --> 00:26:45,040
+القيم يجب أن تتراوح بين ناقص ثلاثة وثلاثة يعني لو
+
+310
+00:26:45,040 --> 00:26:47,640
+أريد أن أعبّر عن الـ X وY على الـ Cartesian Plane
+
+311
+00:26:47,640 --> 00:26:53,760
+هذه الـ Zero وهذه الثلاثة وهذه ناقص ثلاثة وهذه
+
+312
+00:26:53,760 --> 00:26:59,800
+ناقص ثلاثة في الـ Y وهذه الثلاثة في الـ Y فالقيم
+
+313
+00:26:59,800 --> 00:27:05,120
+يجب أن تتراوح في هذا الـ Range أنا الآن لدي هنا
+
+314
+00:27:05,120 --> 00:27:09,740
+الـ X وYقيمهم ايش ال .. ال .. الـ 8 bit دول يعني
+
+315
+00:27:09,740 --> 00:27:16,140
+ال byte قيمه بتتروح من 0 ل 255 okay هو مش طرط عليه
+
+316
+00:27:16,140 --> 00:27:19,460
+انه نقص 333 او continuous بعدين يعني فيها كسور
+
+317
+00:27:19,460 --> 00:27:27,240
+يعني هذا بتغليه ل integer فقط okay ففي يعني حركة
+
+318
+00:27:27,240 --> 00:27:31,120
+صغيرة بتنعمل التحاليل على هذا الأمر انه خلاص ال ..
+
+319
+00:27:31,120 --> 00:27:34,060
+ال .. ال .. ال combination هذه ال 8 bits كدهش يعني
+
+320
+00:27:34,060 --> 00:27:39,570
+مثلا هي هناهذه الـ combination هذي X وهذه الـ Y
+
+321
+00:27:39,570 --> 00:27:47,070
+هذي الـ combination 100010 إيش ال .. إيش ال
+
+322
+00:27:47,070 --> 00:27:52,410
+decimal value تبعها؟ 138 وهذه ال decimal value
+
+323
+00:27:52,410 --> 00:28:00,210
+تبعها 59 أنا مقدر أضربها .. أحولها من 0 ل 6 يعني
+
+324
+00:28:00,210 --> 00:28:08,100
+لما أضربها في 6 على 255 يعني أنظر كيفالان انا عندي
+
+325
+00:28:08,100 --> 00:28:16,300
+138 هذا 138 من 255 صح؟ طيب كداش من 6؟ ليش من 6؟
+
+326
+00:28:16,300 --> 00:28:22,140
+ليش من 6؟ لأن ال range هذا كله هيك 6 صح؟ فكداش من
+
+327
+00:28:22,140 --> 00:28:31,400
+6؟ ال value الشديد تبعها بيساوي ايش؟ 6 على صح؟
+
+328
+00:28:32,350 --> 00:28:36,710
+مظبوط؟ فانا اي رقم يعني كل value من ال values كل
+
+329
+00:28:36,710 --> 00:28:40,190
+ال X's و ال Y's باخدها و بضربها في ال ratio هذا
+
+330
+00:28:40,190 --> 00:28:44,070
+هذا ال ratio ثابت هذا عشان احولها لاشي من ما بين
+
+331
+00:28:44,070 --> 00:28:46,710
+ال zero و ال ستة ال zero و ال ستة بس انا مانديش
+
+332
+00:28:46,710 --> 00:28:48,250
+اياها من ال zero و ال six انا مانديها من النقص
+
+333
+00:28:48,250 --> 00:28:53,530
+تلاتة لتلاتة فبروح باطرح تلاتة مظبوط؟ يعني بعد ما
+
+334
+00:28:53,530 --> 00:28:59,750
+يطلع معايا الرقم هذا بروح باطرح تلاتة بصير ايش؟
+
+335
+00:29:00,600 --> 00:29:05,940
+بصير واقع في الـ Range من سلب تلاتة لتلاتة وبس هو
+
+336
+00:29:05,940 --> 00:29:10,180
+الكلام هذا أيضا للوعي هذه الآن القيم هي اللي بتخش
+
+337
+00:29:10,180 --> 00:29:17,460
+على المعادلة مش ال .. مش ال 138القيم هذه الـ
+
+338
+00:29:17,460 --> 00:29:21,520
+metametry بعد ما احولها للعشرها ده للكاسرها ده
+
+339
+00:29:21,520 --> 00:29:25,620
+بدخلها على معادع ال F علشان اطلع ال value و بسوي
+
+340
+00:29:25,620 --> 00:29:29,460
+هذه الكلام لكل ال chromosomes و بشوف ال fitness و
+
+341
+00:29:29,460 --> 00:29:33,420
+على أساس ال fitness و ال rollate بعمل اللي هو ال
+
+342
+00:29:33,420 --> 00:29:38,410
+..طلع الـ Representation تبع المسألة هذه تعطيكي
+
+343
+00:29:38,410 --> 00:29:43,210
+فكرة كويسة عن الـ Genetic Algorithm أول شي أن هاي
+
+344
+00:29:43,210 --> 00:29:50,090
+عندك هنا قولي هذا الـ X وهذا الـ Y وهي ال values
+
+345
+00:29:50,090 --> 00:29:53,230
+تتراح من تلاتة إلى ناقص تلاتة ناقص تلاتة و تلاتة
+
+346
+00:29:53,230 --> 00:29:57,530
+يعني هاي الـ Zero و Zero جايين في النص هذا الآن ال
+
+347
+00:29:57,530 --> 00:30:04,760
+surface يمثل قيم ال Fيعني عند أي واحد من هدول
+
+348
+00:30:04,760 --> 00:30:10,520
+النقاط هم عبارة عن X مع Y، عبارة عن solutions، كل
+
+349
+00:30:10,520 --> 00:30:14,340
+واحد من هدول النقاط يمثل إيش؟Candidate solution
+
+350
+00:30:14,340 --> 00:30:18,260
+فعند هذا ال solution قيمة F الجدد عند هذا ال
+
+351
+00:30:18,260 --> 00:30:22,140
+solution قيمة هكذا لو طلعت على ال surface نفسه فيه
+
+352
+00:30:22,140 --> 00:30:26,360
+ال two maximum واحدة منهم أعلى من التانية صح هذه
+
+353
+00:30:26,360 --> 00:30:29,760
+global maximum هذه ال maximum الأعلى وهذه ال
+
+354
+00:30:29,760 --> 00:30:35,220
+maximum ال local maximum صح ال genetic algorithm
+
+355
+00:30:35,220 --> 00:30:41,290
+ممكنبالعشوائية تبعتها كل ال solutions الستة دول
+
+356
+00:30:41,290 --> 00:30:44,730
+الست واحد اتنين تلاتة اربع خمسة الست اللي هم الست
+
+357
+00:30:44,730 --> 00:30:48,850
+اللي بيكونوا ال generation كلهم يروحوا خطأ ان
+
+358
+00:30:48,850 --> 00:30:54,450
+يتواكموا عالمين على او يتجمعوا عليها او حوالين ال
+
+359
+00:30:54,450 --> 00:31:03,310
+local maximum و يضيعوا الاش يضيعوا اش ال global
+
+360
+00:31:03,310 --> 00:31:08,400
+هذا الكلامإذا كان عدد ال iterations صغير لكن لما
+
+361
+00:31:08,400 --> 00:31:13,860
+نزود عدد ال iterations مع العشوائية واحدة منهم إما
+
+362
+00:31:13,860 --> 00:31:18,440
+بال crossover أو بال mutation ت flat أو تخرج من
+
+363
+00:31:18,440 --> 00:31:23,520
+النطاقة ده وتبدأ تنتقل حتى وإن كان تنخفض في ال
+
+364
+00:31:23,520 --> 00:31:27,840
+value تبعها بس بعدها ممكن تبدأ تتحسن تاني إلى أن
+
+365
+00:31:27,840 --> 00:31:33,900
+تصل إلى ال global maximumماشي الحال .. هذا بيوريكي
+
+366
+00:31:33,900 --> 00:31:41,220
+بعد .. هذا في البداية .. هذا ال first generation و
+
+367
+00:31:41,220 --> 00:31:48,040
+بعد هيك .. هي تبعد ..
+
+368
+00:31:48,040 --> 00:31:53,520
+مش كاتب عدد ال iterations المهم راحظي انه اتجمعوا
+
+369
+00:31:53,520 --> 00:31:58,110
+على ال local minima ال local minimum okayال local
+
+370
+00:31:58,110 --> 00:32:01,290
+maximum أنا اسف ال local maximum بعد هيك اه okay
+
+371
+00:32:01,290 --> 00:32:07,350
+انتقلوا على ال ال global maximum تمام هيا اتوا هنا
+
+372
+00:32:07,350 --> 00:32:14,970
+بيعرضلك اللي هو ايش بعد
+
+373
+00:32:14,970 --> 00:32:22,930
+خمسين ات .. من عند هنا ليلة الخمسين و هم لسه لسه
+
+374
+00:32:22,930 --> 00:32:27,770
+على ال local maximumبعد الخمسين .. بعد الخمس و
+
+375
+00:32:27,770 --> 00:32:32,970
+خمسين انتقلوا من خلال ال .. ال cross over و ال
+
+376
+00:32:32,970 --> 00:32:37,410
+mutation انتقلوا و بدأوا يتحسنوا الى وصلوا لش ..
+
+377
+00:32:37,410 --> 00:32:41,530
+لل global maximum تمام؟
+
+378
+00:32:41,530 --> 00:32:45,970
+طيب اخر اشي بدنا نحكيه و هو انه لو انا بدنا نطلع
+
+379
+00:32:45,970 --> 00:32:49,430
+على مقارنة ما بين هذا الكلام و ما بين ال linear
+
+380
+00:32:49,430 --> 00:32:54,160
+programming ال linear programmingزي هنا في ان دي
+
+381
+00:32:54,160 --> 00:32:58,240
+هناك في objective function وهنا في objective
+
+382
+00:32:58,240 --> 00:33:02,200
+function هناك
+
+383
+00:33:02,200 --> 00:33:06,760
+في constraint وهنا اما في او مافيش يعني في هذه
+
+384
+00:33:06,760 --> 00:33:10,260
+المسألة في current constraint واحد اللي هو ان يبقى
+
+385
+00:33:10,260 --> 00:33:14,030
+قيمهم بين الناقص تلاتة والتلاتةالمثال الأولى اللى
+
+386
+00:33:14,030 --> 00:33:17,050
+كانت خمس عشر X نقص X تربية ماكانش فيها constraint
+
+387
+00:33:17,050 --> 00:33:20,810
+تمام فال genetic algorithm ما بتشترط ان يكون فيه
+
+388
+00:33:20,810 --> 00:33:24,790
+constraints الشغل التانى اللى هو هذا ال surface لو
+
+389
+00:33:24,790 --> 00:33:30,010
+انت طلعت عليه هذا non-linear هذا non-linear ال
+
+390
+00:33:30,010 --> 00:33:37,340
+linear programming problemتشترط أن الـ objective
+
+391
+00:33:37,340 --> 00:33:39,440
+function تكون linear function في الـ linear
+
+392
+00:33:39,440 --> 00:33:43,280
+function ال surface هذا plain و ال plain هذا ممكن
+
+393
+00:33:43,280 --> 00:33:50,680
+يبقى مائل على ناحية اخرى وهذا اللي بيجعل ان واحد
+
+394
+00:33:50,680 --> 00:33:56,420
+من الحفف تبع ال feasible region تكون جاية على
+
+395
+00:33:56,420 --> 00:34:01,730
+الحفة او على العلى الـ value العالي في ال .. يعني
+
+396
+00:34:01,730 --> 00:34:08,370
+انا ببدأ ارسم على three dimensional و هرسم plane و
+
+397
+00:34:08,370 --> 00:34:13,370
+بعدين اتي احدد region هذا ال region هيبقى الطرف
+
+398
+00:34:13,370 --> 00:34:16,550
+هذا .. شوف هذه ال plane عالي من هنا و منخفض من هنا
+
+399
+00:34:16,550 --> 00:34:20,770
+هيبقى هذا الطرف من ال region قيم ال function فيه
+
+400
+00:34:20,770 --> 00:34:23,590
+عالية وهذا الطرف من ال region قيم ال function فيه
+
+401
+00:34:23,590 --> 00:34:29,360
+منخفضة صح؟ فهيجي حفة من حفة في ال regionالـ
+
+402
+00:34:29,360 --> 00:34:32,320
+function فيها هالية والحفف الأخر تبقى منخفضة وهذا
+
+403
+00:34:32,320 --> 00:34:35,360
+اللي بيجعل ان ال extreme points تكون واحدة منهم
+
+404
+00:34:35,360 --> 00:34:41,860
+مرشحة ان تكون فيها ال maximum بينما هنا هاي الحفف
+
+405
+00:34:44,650 --> 00:34:48,310
+بينما ال maximum وين موجودة فى النص فماقدر اعملية
+
+406
+00:34:48,310 --> 00:34:51,030
+استخدم ال linear programming problem لان ال
+
+407
+00:34:51,030 --> 00:34:54,890
+simplex
+
+408
+00:34:54,890 --> 00:35:00,070
+method تعتمد على ان ال solution موجود فى ال
+
+409
+00:35:00,070 --> 00:35:03,650
+extreme points و هنا فى ال non linear problem ال
+
+410
+00:35:03,650 --> 00:35:06,610
+solutionمش بالضرورة يكون موجود على extreme point،
+
+411
+00:35:06,610 --> 00:35:10,490
+ممكن يكون في الوسط فما بنقدر نستخدم ال linear
+
+412
+00:35:10,490 --> 00:35:14,130
+programming للإيش؟ لل non-linear objective
+
+413
+00:35:14,130 --> 00:35:21,990
+functions تمام، تمام، خلاص زي ما قلت أنا، بنحدد
+
+414
+00:35:21,990 --> 00:35:27,470
+مسألة تسويها homework وبنسبة للامتحان اللي
+
+415
+00:35:27,470 --> 00:35:29,410
+مابيغطيش ال genetic algorithm
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5dfcf855a29f269f663305b8dc2fa3f783d8cac3
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs.srt
@@ -0,0 +1,1310 @@
+1
+00:00:20,820 --> 00:00:23,020
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:23,020 --> 00:00:26,360
+المصريين اليوم إن شاء الله بنكمل كلام اللي كنا
+
+3
+00:00:26,360 --> 00:00:31,300
+بدناه في المحاضرة الماضية اللي هو computing the nth
+
+4
+00:00:31,300 --> 00:00:35,580
+Fibonacci number وقولنا إنه المسألة دي مثال حساب
+
+5
+00:00:35,580 --> 00:00:42,720
+قيمة الـ Fibonacci number لها عدة طرق، هذه أربعة
+
+6
+00:00:42,720 --> 00:00:47,930
+ذكرنا منهم ثلاثة، والرابعة ذكرناها
+
+7
+00:00:47,930 --> 00:00:51,530
+وقلنا إنهم أفضل في الـ performance من الـ recursive
+
+8
+00:00:51,530 --> 00:00:54,650
+algorithm اللي احنا بدنا نحكي فيها. طب، ايش الهدف من
+
+9
+00:00:54,650 --> 00:00:58,430
+أن نحكي في recursive algorithm فاشلة، أو أداء
+
+10
+00:00:58,430 --> 00:01:02,390
+سيء؟ إنّه، بس احنا الهدف في المرحلة دي أصلاً تبعناها
+
+11
+00:01:02,390 --> 00:01:07,430
+هو تتعلم طريقة التحليل، التحليل اللي هو الـ running
+
+12
+00:01:07,430 --> 00:01:13,240
+time. ماشي؟ ف..بدأ أروح على طول على هذه السلسلة.
+
+13
+00:01:13,240 --> 00:01:19,520
+وصفنا زي هيك، ووصفنا الـ Recurrence أو طريقة الحساب
+
+14
+00:01:19,520 --> 00:01:23,840
+تبعها، أن هو عبارة عن أي عنصر، عبارة عن مجموع
+
+15
+00:01:23,840 --> 00:01:28,420
+العنصرين اللي بيسبقوه. وهذه هي الـ algorithm، صح؟ هذه
+
+16
+00:01:28,420 --> 00:01:35,680
+هي الـ recursive algorithm اللي بتحسب. لأنّ
+
+17
+00:01:35,680 --> 00:01:38,540
+من شكل الـ algorithm هذه، إذا بتذكرنا، كنا بنحكي عن
+
+18
+00:01:38,540 --> 00:01:43,820
+الـ towers of Hanoi problem، وذكرنا letter E، هذه
+
+19
+00:01:43,820 --> 00:01:48,760
+letter E تبع الـ Towers of Hanoi، صح؟ أنّ أول
+
+20
+00:01:48,760 --> 00:01:52,520
+استدعاء يترتب عليه استدعاء N، كل واحد منهم يترتب عليه
+
+21
+00:01:52,520 --> 00:01:54,920
+استدعاء N، كل واحد من هدول يترتب عليه استدعاء N، هذه
+
+22
+00:01:54,920 --> 00:02:01,890
+letter E تمتد من N إلى 1، يعني number of levels، واحنا
+
+23
+00:02:01,890 --> 00:02:08,490
+عرضناها على أساس أنّ من شكلها بنقدر الـ running
+
+24
+00:02:08,490 --> 00:02:12,050
+time، لأن الـ running time هو بمثابة عدد الاستدعاءات،
+
+25
+00:02:12,050 --> 00:02:15,030
+ وعدد الاستدعاءات هي عدد الـ nodes، لأن كل node تمثل
+
+26
+00:02:15,030 --> 00:02:19,330
+استدعاء. فالحسبة المباشرة لعدد الـ nodes لمثل هذه الـ
+
+27
+00:02:19,330 --> 00:02:25,050
+tree اللي هي binary tree، طولها أو ارتفاعها، يعني L، الـ
+
+28
+00:02:25,050 --> 00:02:31,080
+L بيساوي N، هو عبارة عن two to the n minus one. فكان
+
+29
+00:02:31,080 --> 00:02:37,500
+الهدف أن نقدر نقدر الـ execution time لو احنا بدنا
+
+30
+00:02:37,500 --> 00:02:40,740
+نعمل مثل هذا لـ tree لـ الفيبوناتشي numbers. ايش اللي
+
+31
+00:02:40,740 --> 00:02:47,460
+هيكون عندها؟ أول استدعاء، لما أنا بستدعي f على n، الـ
+
+32
+00:02:47,460 --> 00:02:52,320
+Fibonacci number F of N بيساوي F of N ناقص واحد
+
+33
+00:02:52,320 --> 00:02:56,700
+زائد F of N ناقص اثنين. يعني الـ algorithm هتستدعي
+
+34
+00:02:56,700 --> 00:03:00,540
+نفسها مرتين. زي هذه برضه هتستدعي نفسها مرتين، صح ولا
+
+35
+00:03:00,540 --> 00:03:04,100
+لا؟ هتاخد الـ output تبع هذه، والـ output تبعها، جالس
+
+36
+00:03:04,100 --> 00:03:06,730
+ده، والـ output تبعها جالس ده، وتجمعهم مع بعض. فبقدر
+
+37
+00:03:06,730 --> 00:03:11,190
+أنا أعمل الـ tree شبيه بالـ .. بالـ tree هذه، بس
+
+38
+00:03:11,190 --> 00:03:15,030
+هتختلف شوية صغيرة. إنّ هذا الاستدعاء الأول N، يترتب
+
+39
+00:03:15,030 --> 00:03:20,390
+عليه استدعاء لـ N ناقص واحد، و N ناقص اثنين، صح؟ صح؟
+
+40
+00:03:20,390 --> 00:03:24,070
+هنا كان N ناقص واحد، N ناقص واحد. هذا التوازن، هنشوفه.
+
+41
+00:03:24,070 --> 00:03:28,870
+هذا الاستدعاء الآن، ايش يترتب عليه؟ ايش اللي جاب الـ
+
+42
+00:03:28,870 --> 00:03:33,050
+N ناقص واحد؟ والثاني؟ اللي جابه، ليه اللي جابها
+
+43
+00:03:33,050 --> 00:03:39,010
+يعني؟ ناقص ثلاثة هنا، ايش؟ إنّ ناقص ثلاثة، إنّ ناقص
+
+44
+00:03:39,010 --> 00:03:43,390
+أربعة، بيستمر هذا الكلام. خلّينا نشوف هذه الـ tree
+
+45
+00:03:43,390 --> 00:03:49,830
+جاهزة، موجودة عندي هنا في الـ slide، ورا.. ورا هيئتها، بس
+
+46
+00:03:49,830 --> 00:03:53,130
+هو عاملها محدد، إنّ إنّ تبدأ بخمسة.
+
+47
+00:03:56,610 --> 00:04:02,450
+هي تترتب على f of 4، وf of 3، وهي نقص واحد، ونقص
+
+48
+00:04:02,450 --> 00:04:06,430
+اثنين، وبيستمروا. وهاي الـ tree، هاي الـ tree كلها يعني
+
+49
+00:04:06,430 --> 00:04:10,890
+في الآخر هتصل إلى leaf nodes، leaf calls، النهائية، f
+
+50
+00:04:10,890 --> 00:04:15,230
+of zero، f of one، f of zero. ماشي؟ الآن الـ tree صغيرة،
+
+51
+00:04:15,230 --> 00:04:20,330
+صح؟ بس ليش؟ لأن الرقم f of n بتساوي خمسة. لو كبر الـ n،
+
+52
+00:04:20,330 --> 00:04:26,730
+يعني صار مئة مثلاً، مئتين، أكثر من هيك، بتكبر بشكل أكبر
+
+53
+00:04:26,730 --> 00:04:32,210
+بكتير، صح؟ فيعني بنقدر نتخيل أنّ النمو تبع الـ tree
+
+54
+00:04:32,210 --> 00:04:39,970
+هيبقى النمو exponential. يعني كل level اللي بعده
+
+55
+00:04:39,970 --> 00:04:47,230
+عبارة عن ضعف، ضعف الـ number الأساسي اللي هو n.
+
+56
+00:04:47,230 --> 00:04:52,830
+فهي المشكلة الأساسية هنا، اللي هي سرعة نمو الـ tree.
+
+57
+00:04:52,830 --> 00:04:57,650
+هذه الـ nodes اللي فيها، هم يمثلوا الاستدعاءات. فكل ما
+
+58
+00:04:57,650 --> 00:05:01,250
+كترت الـ nodes، يعني كترت الاستدعاءات، يعني زاد الزمن.
+
+59
+00:05:01,250 --> 00:05:07,370
+صح؟ فالمشكلة الأولى، والمشكلة الأساسية هنا، وليه مش
+
+60
+00:05:07,370 --> 00:05:11,130
+المشكلة الوحيدة، هي النمو. المشكلة الثانية، إذا رحنا
+
+61
+00:05:11,130 --> 00:05:16,690
+إنّ فيها استدعاءات مكررة. يعني الـ algorithm هي F of
+
+62
+00:05:16,690 --> 00:05:21,350
+2، وهي F of 2، وهي F of 2. هدول الثلاث استدعاءات على
+
+63
+00:05:21,350 --> 00:05:25,340
+نفس الـ value، وهيعملوا نفس الشغل. الشغل هذا مكرر،
+
+64
+00:05:25,340 --> 00:05:29,480
+مالوش لازمة، صح؟ المفروض مرة واحدة نحسب الـ F of two،
+
+65
+00:05:29,480 --> 00:05:37,360
+ونستخدمها بعدين. هي كمان ما محتاجينها. وهذا يعني سبب
+
+66
+00:05:37,360 --> 00:05:39,880
+آخر لعدم الـ efficiency، أو سبب آخر لعدم الـ
+
+67
+00:05:39,880 --> 00:05:44,120
+efficiency تبع الـ algorithm. بتذكروا الـ non
+
+68
+00:05:44,120 --> 00:05:48,520
+recursive algorithm؟ بتحسب على طول، بتحسب الـ f of n،
+
+69
+00:05:48,520 --> 00:05:52,800
+والـ f of n ناقص واحد، وبتجمعهم. آسف، f of ناقص واحد، و
+
+70
+00:05:52,800 --> 00:05:56,930
+f of ناقص اثنين، وبتجمعهم على f of n، وبتكرر هذه
+
+71
+00:05:56,930 --> 00:06:00,790
+الكلام على الـ array. فما بتحسب الـ value أكثر من مرة،
+
+72
+00:06:00,790 --> 00:06:04,970
+هو مرة واحدة، وبتراكم عليه اللي بعده. إنما هنا الـ
+
+73
+00:06:04,970 --> 00:06:09,010
+algorithm تستدعي نفسها على نفس الـ input أكثر من
+
+74
+00:06:09,010 --> 00:06:13,990
+مرة، وهذا inefficient. طيب، ماشي. الحل يوجه، احنا بدنا
+
+75
+00:06:13,990 --> 00:06:18,990
+نرجع الآن، يعني بعد ما شفنا الـ tree تبع استدعاءات
+
+76
+00:06:18,990 --> 00:06:23,570
+الـ algorithm هذه، نرجع ثاني إلى اللي هو التحليل
+
+77
+00:06:23,570 --> 00:06:32,380
+تبعها. أول شيء قلنا، هيّا الـ definition، وهي
+
+78
+00:06:32,380 --> 00:06:38,400
+الـ algorithm، صح؟ هي الـ algorithm، إنّ إذا كانت الـ N
+
+79
+00:06:38,400 --> 00:06:42,560
+أقل من أو تساوي واحد، return N. فهذا الكلام ينطبق
+
+80
+00:06:42,560 --> 00:06:47,020
+على N=Zero، N بتساوي Zero، و N بتساوي واحد. أكبر من الـ
+
+81
+00:06:47,020 --> 00:06:53,070
+واحد، بنعمل استدعاءات. يبقى الآن الـ basic operation
+
+82
+00:06:53,070 --> 00:06:57,030
+هي الـ addition، صح؟ الـ number of additions، عدد
+
+83
+00:06:57,030 --> 00:07:00,990
+المرات، هو يساوي عدد مرات الـ additions اللي بدهم
+
+84
+00:07:00,990 --> 00:07:06,010
+يحدثوا في هذا الاستدعاء، زائد عدد مرات الـ additions
+
+85
+00:07:06,010 --> 00:07:11,110
+اللي بدهم يحصلوا في هذا الاستدعاء، زائد الـ addition
+
+86
+00:07:11,110 --> 00:07:16,000
+اللي بتحصل في الاستدعاء الحالي. احنا في استدعاء،
+
+87
+00:07:16,000 --> 00:07:20,260
+ونعمل استدعاء فرعيين، كده يكون الاستدعاء الفرعي فيه
+
+88
+00:07:20,260 --> 00:07:25,240
+عملية addition. بدنا نشوفهم ونضيف عليهم عملية الجمع
+
+89
+00:07:25,240 --> 00:07:30,020
+النهائي اللي هي بتحصل في الاستدعاء الحالي. يبقى a
+
+90
+00:07:30,020 --> 00:07:36,400
+اللي هي number of additions بيساوي لـ n، بيساوي number
+
+91
+00:07:36,400 --> 00:07:40,080
+of additions لـ n ناقص واحد، زائد number of additions
+
+92
+00:07:40,080 --> 00:07:48,020
+لـ n ناقص اثنين، زائد الـ addition الحالية. لما نكون n صفر،
+
+93
+00:07:48,020 --> 00:07:51,280
+مافيش additions. لما نكون n بيساوي واحد، مافيش
+
+94
+00:07:51,280 --> 00:07:57,680
+additions. طيب، الآن هذا، هذا
+
+95
+00:07:57,680 --> 00:08:00,400
+الـ recurrence اللي بدنا نشتغل عليها، نعملها
+
+96
+00:08:00,400 --> 00:08:04,900
+analysis، صح؟ لأنّ هنا
+
+97
+00:08:13,070 --> 00:08:17,450
+لو شيلت الواحد هذا، أصبح أنّ أنا بقول عدد عمليات
+
+98
+00:08:17,450 --> 00:08:21,350
+الجمع هي فقط عدد عمليات الجمع اللي بتتم هنا،
+
+99
+00:08:21,350 --> 00:08:26,830
+زائد عدد عمليات الجمع اللي بتتم هنا. ونسيت أنّ
+
+100
+00:08:26,830 --> 00:08:30,610
+كل واحد من دول، في الآخر أنا النتيجة بتبقى
+
+101
+00:08:30,610 --> 00:08:32,170
+مجموعهم.
+
+102
+00:08:36,980 --> 00:08:40,580
+هلو الـ plus هي عملية جمع بتتم بعد ما تمت عمليات الجمع
+
+103
+00:08:40,580 --> 00:08:43,900
+اللي حصلت هنا، وعمليات الجمع اللي حصلت هنا، هتتم وراهم، okay.
+
+104
+00:08:43,900 --> 00:08:49,100
+فده هو الواحد اللي هي العملية. تمام؟ الآن هذا الـ
+
+105
+00:08:49,100 --> 00:08:51,780
+recurrence اللي هو a of n.
+
+106
+00:09:08,060 --> 00:09:15,780
+بدي أصيغه كالتالي: ده أجيب الـ terms على الشمال، والـ
+
+107
+00:09:15,780 --> 00:09:25,160
+واحد أخليه برة، okay.
+
+108
+00:09:34,640 --> 00:09:40,860
+جاب الصيغة هذه. الصيغة هذه، احنا لما نـ.. لما نـ..
+
+109
+00:09:40,860 --> 00:09:45,580
+عملنا الـ towers of Hanoi، آه، الـ towers of Hanoi،
+
+110
+00:09:45,580 --> 00:09:51,500
+عملنا backward substitution، كان عندي.. كان عندي M
+
+111
+00:09:51,500 --> 00:09:59,780
+of N بيساوي اثنين M of N ناقص واحد، زائد ايش؟ واحد، صح؟
+
+112
+00:09:59,780 --> 00:10:06,200
+آهو عملنا backward
+
+113
+00:10:06,200 --> 00:10:09,680
+substitution، وحلّيناها. هذه عادة، لأنّ عشان فيها two
+
+114
+00:10:09,680 --> 00:10:15,160
+terms، هتغلبنا شوية. ولكن برضه كمان، في سبب آخر، أنّ في
+
+115
+00:10:15,160 --> 00:10:20,260
+عندي أنا حلول جاهزة لـ recurrence شبيه بهذه الـ
+
+116
+00:10:20,260 --> 00:10:23,320
+recurrence. هذا الـ recurrence
+
+117
+00:10:26,620 --> 00:10:32,520
+شبيه بها، دي، عشان أخليه فعلاً شبيه، روحت أنا وحطيت الـ
+
+118
+00:10:32,520 --> 00:10:37,180
+terms الـ a على جهة، والواحد جهة. صار في الأول
+
+119
+00:10:37,180 --> 00:10:42,520
+كانت يساوي، لما زحّته هيك، صار أكثر شبهاً، بس بضلّ
+
+120
+00:10:42,520 --> 00:10:47,340
+الفرق ايه؟ عشان في عندي صفر، وهنا واحد. هناك في صفر،
+
+121
+00:10:47,340 --> 00:10:52,630
+وهنا واحد. الفرق الثاني، أنّ في عندي، يعني طبعاً أنّ الـ
+
+122
+00:10:52,630 --> 00:10:56,710
+a، الـ a، الـ a هي مقابل الـ x، الـ x ده، هي مقابل الـ
+
+123
+00:10:56,710 --> 00:11:02,090
+function، هي مقابل الـ a اللي عندي هنا. وبعدين في
+
+124
+00:11:02,090 --> 00:11:05,670
+فرق آخر. الفرق الأولاني كان، أنّ هنا في صفر، هنا في
+
+125
+00:11:05,670 --> 00:11:10,090
+واحد. الفرق الثاني، أنّ في عندي a و b و c، هدول
+
+126
+00:11:10,090 --> 00:11:15,150
+constants، fixed real numbers، وهدي مش.. مش مشكلة، لأنّ
+
+127
+00:11:15,150 --> 00:11:18,270
+أنا عملياً في الصيغة هذه، بقدر أتخيل أنّ الـ a بيساوي
+
+128
+00:11:18,270 --> 00:11:26,630
+واحد، والـ b بيساوي، والـ c بيساوي ناقص واحد. لأنّ بالأصل
+
+129
+00:11:26,630 --> 00:11:30,330
+الصيغة فيها زائد، فـ.. صح؟ فمش خلاف. هو بيقول لي عادي،
+
+130
+00:11:30,330 --> 00:11:36,050
+مش مشكلة. طب، ايش السرّية؟ أنا.. لما أنا أتوجه ناحية
+
+131
+00:11:36,050 --> 00:11:41,330
+الصيغة هذه، الصيغة هذه محلولة وخلاص. يعني هنا الـ x
+
+132
+00:11:41,330 --> 00:11:46,790
+of N على طول. يعني بقدر أقول، بما أنّ هذه الصيغة
+
+133
+00:11:46,790 --> 00:11:51,170
+الحال تبعها هيك، يبقى الحال تبعها هذه a of n على
+
+134
+00:11:51,170 --> 00:11:57,650
+طول، بيساوي واحد على جذر الخمسة، في فاي أسّ n، ناقص
+
+135
+00:11:57,650 --> 00:12:02,830
+طبعاً ايش بتسألوني، ايش فاي؟ فاي وفاي كابيتال، همّ
+
+136
+00:12:02,830 --> 00:12:04,710
+هذول.
+
+137
+00:12:06,920 --> 00:12:10,220
+باعتبار واحد زائد جذر الخمسة على اثنين، والثانية
+
+138
+00:12:10,220 --> 00:12:15,720
+مقلوبة بالناقص، يعني ناقص واحد على فاي. وهذه هي
+
+139
+00:12:15,720 --> 00:12:21,760
+الـ constants. خلاص، بحطّهم في الـ formula، وبحسب. بمعنى
+
+140
+00:12:21,760 --> 00:12:26,920
+ايش؟ أنّ أنا الـ recurrence هذا، تلقائياً معايا الحل تبعه.
+
+141
+00:12:27,730 --> 00:12:31,150
+تذكروا دائماً، أنّ احنا بنبدأ بالـ recurrence، بروح
+
+142
+00:12:31,150 --> 00:12:35,010
+بنحل الـ recurrence. ايش يعني نحل الـ recurrence؟ يعني
+
+143
+00:12:35,010 --> 00:12:40,110
+نحصل على exact formula اللي تعطيني بالضبط كده عدد
+
+144
+00:12:40,110 --> 00:12:44,470
+مرات الـ operation. فهذا يعني الـ recurrence محلول،
+
+145
+00:12:44,470 --> 00:12:49,610
+محلول. هيّا كل الإشكالية دلّوقت اللي هي الواحد هذا،
+
+146
+00:12:49,610 --> 00:12:54,210
+ما بقدر أطبق الـ recurrence الحلّ هذا على الـ recurrence
+
+147
+00:12:54,210 --> 00:12:57,630
+اللي معايا، طول ما إنّه هنا في واحد، وهناك في صفر.
+
+148
+00:12:57,630 --> 00:13:02,930
+الصفر هذا، بوجوده، بيجعل أنّ هذا الـ recurrence
+
+149
+00:13:02,930 --> 00:13:07,070
+بيسمّوه homogeneous second order linear recurrence.
+
+150
+00:13:07,070 --> 00:13:11,950
+الواحد معناته أنّ الفرق ما بين الـ generic term والـ
+
+151
+00:13:11,950 --> 00:13:17,960
+two terms اللي جابوه، هنا الفرق صفر. لكن هنا الفرق
+
+152
+00:13:17,960 --> 00:13:21,760
+ما بين الـ term والـ.. اللي جابوه غير صفر، وهذا
+
+153
+00:13:21,760 --> 00:13:26,400
+بيعمل اختلاف، بيخليها inhomogeneous. فهذا الخلاف كيف
+
+154
+00:13:26,400 --> 00:13:31,220
+أنا.. لأنّ بدي أتعامل معاه، بقدر أتعامل عليه
+
+155
+00:13:31,220 --> 00:13:36,260
+بالطريقة التالية، اللي هي أنّ أنا، بس واضح، واضح.
+
+156
+00:13:36,260 --> 00:13:41,060
+القضية هدفي، أن أظبط الصيغة هذه، بحيث تبقى مطابقة
+
+157
+00:13:41,060 --> 00:13:45,460
+للصيغة هذه، عشان على طول أستخدم الحل تبعها. ظبّطتها
+
+158
+00:13:45,460 --> 00:13:50,260
+نص الطريق، بإني أنا حطّيت الـ terms على الشمال، وتبقى
+
+159
+00:13:50,260 --> 00:13:54,660
+النص الثاني، أنّ أنا أتخلص من الواحد. عشان أتخلص من
+
+160
+00:13:54,660 --> 00:13:59,620
+الواحد، ماشي؟
+
+161
+00:13:59,620 --> 00:14:03,140
+الحلّ، عشان أتخلص من الواحد، واحد بدي
+
+162
+00:14:13,500 --> 00:14:18,980
+أستخدم function من عندي، جابها من عندي، هي عبارة عن a
+
+163
+00:14:18,980 --> 00:14:24,880
+of n، بس h زائد واحد، b of n. هذا من عندي، بيساوي a of
+
+164
+00:14:24,880 --> 00:14:28,620
+n زائد واحد. الآن
+
+165
+00:14:28,620 --> 00:14:33,480
+إذا b of n بيساوي a of n زائد واحد، يبقى b of n ناقص
+
+166
+00:14:33,480 --> 00:14:39,490
+واحد بيساوي a of n ناقص واحد، زائد واحد. وb of n ناقص
+
+167
+00:14:39,490 --> 00:14:45,170
+اثنين بيساوي a of n ناقص اثنين، زائد واحد. تمام؟
+
+168
+00:14:45,170 --> 00:14:53,89
+
+223
+00:21:14,880 --> 00:21:15,020
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+224
+00:21:15,020 --> 00:21:15,120
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+225
+00:21:15,120 --> 00:21:15,180
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+226
+00:21:15,180 --> 00:21:15,280
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+227
+00:21:15,280 --> 00:21:15,420
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+228
+00:21:15,420 --> 00:21:15,580
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+229
+00:21:15,580 --> 00:21:15,920
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+230
+00:21:15,920 --> 00:21:18,360
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+231
+00:21:18,360 --> 00:21:31,520
+واحد P of واحد P of واحد P of واحد P of واحد
+
+232
+00:21:32,590 --> 00:21:40,190
+أول عنصرين في المتتالية هذه المتتالية ينطبق عليها
+
+233
+00:21:40,190 --> 00:21:52,550
+اللي هو نفس المتتالية تبع فيبوناتشي هذه
+
+234
+00:21:52,550 --> 00:21:57,370
+المتتالية، الصيغة تنطبق على الـ Fibonacci numbers
+
+235
+00:21:57,370 --> 00:21:59,670
+تسلسل الـ Fibonacci numbers، خلّي بالكوا أن فيها
+
+236
+00:21:59,670 --> 00:22:03,730
+ثلاث متتاليات، الآن الـ Fibonacci numbers نفسها اللي
+
+237
+00:22:03,730 --> 00:22:12,990
+هي صفر، واحد، إيش اللي بعده؟ واحد
+
+238
+00:22:12,990 --> 00:22:18,030
+و هكذا
+
+239
+00:22:18,030 --> 00:22:24,510
+ماشي، الآن الـ A of N، الـ A of N تبدأ بـ صفر، صفر
+
+240
+00:22:27,470 --> 00:22:37,950
+بعدين إيش هذا؟ بعدين لأ، بنضيف واحد عادي الآن a of
+
+241
+00:22:37,950 --> 00:22:42,190
+n للصفر
+
+242
+00:22:56,360 --> 00:23:05,600
+للصفر و للواحد صفر، لكن بعد هيك ليش صفر؟ الـ A of N
+
+243
+00:23:05,600 --> 00:23:15,020
+هي واحد
+
+244
+00:23:15,020 --> 00:23:22,600
+زائد صفر، زائد واحد، صح؟
+
+245
+00:23:22,600 --> 00:23:25,140
+مظبوط
+
+246
+00:23:26,880 --> 00:23:29,340
+أنا بدي أكتب، انتبهي أنه أحياناً بنلخبط وإحنا في ال
+
+247
+00:23:29,340 --> 00:23:33,460
+analysis، F و A لأنهم كلهم of N وكلهم بيجوا N نقص
+
+248
+00:23:33,460 --> 00:23:38,280
+واحد، نقص اثنين، بنفكرهم نفس الشيء، okay؟ هو ما هو
+
+249
+00:23:38,280 --> 00:23:43,360
+نفس الشيء، عدد العمليات اللي بتتم لحساب فيبوناتشي
+
+250
+00:23:43,360 --> 00:23:50,460
+تبع أي رتبة، لا يساوي فيبوناتشي نفسه، أه؟ هي
+
+251
+00:23:50,460 --> 00:23:53,420
+الفيبوناتشي نفسها هي الـ value، بس ده لا يساوي عدد
+
+252
+00:23:53,420 --> 00:23:56,950
+مرات حساب .. العملية، الجمل اللي لازمة لحسابه هذا
+
+253
+00:23:56,950 --> 00:24:02,090
+إيش هنا؟ 11، 12
+
+254
+00:24:02,090 --> 00:24:07,530
+عملية، جمل عشان أطلع الثمانية هذه، وهذا برضه مختلف
+
+255
+00:24:07,530 --> 00:24:17,890
+عن الـ B، بس اختلافها هذا بسيط، بلاش، لأ، إيش الـ
+
+256
+00:24:17,890 --> 00:24:22,890
+B of N؟ صفر، واحد، وهنا واحد
+
+257
+00:24:25,490 --> 00:24:35,250
+طيب P of N، P of N، P of N، P of N، P of N، P of N، P of
+
+258
+00:24:35,250 --> 00:24:35,270
+N، P of N، P of N، P of N، P of N، P of N، P of N، P
+
+259
+00:24:35,270 --> 00:24:35,390
+of N، P of N، P of N، P of N، P of N، P of N، P of N، P
+
+260
+00:24:35,390 --> 00:24:35,570
+of N، P of N، P of N، P of N، P of N، P of N، P of N، P
+
+261
+00:24:35,570 --> 00:24:37,210
+of N، P of N، P of N، P of N، P of N، P of N، P of N، P
+
+262
+00:24:37,210 --> 00:24:39,750
+of N، P of N، P of N، P of N، P of N، P of N، P of N، P
+
+263
+00:24:39,750 --> 00:24:44,650
+of N
+
+264
+00:24:44,650 --> 00:24:49,510
+of N، P of N، P
+
+265
+00:24:49,510 --> 00:24:56,460
+of عشرين، صح؟ هتلاحظ أن هذا ماشي مع مين؟ الـ B of N
+
+266
+00:24:56,460 --> 00:25:01,300
+ماشي مع الـ F of N، بس سابق بواحد، سابق ولا بتأخر
+
+267
+00:25:01,300 --> 00:25:08,080
+عنه؟ سابق، لأنه بيجيبه قبل ما هذا يصير، يعني الـ B of
+
+268
+00:25:08,080 --> 00:25:17,000
+خمسة بتساوي الـ F of ستة، صح؟ الـ B، الـ B of خمسة
+
+269
+00:25:17,000 --> 00:25:19,180
+بتساوي الـ F of ستة
+
+270
+00:25:22,260 --> 00:25:31,380
+يبقى إذًا الـ P of N بيساوي الـ F of N plus one، صح؟
+
+271
+00:25:31,380 --> 00:25:37,860
+okay، هذه الـ solution، بينطبق على المتتالية تبع الـ
+
+272
+00:25:37,860 --> 00:25:44,120
+Fibonacci، يبقى لما أنا بدي أستخدمه، بدي أعمل حسابي
+
+273
+00:25:44,120 --> 00:25:52,250
+أن الـ N تبعت الـ P أه، سابق، ده الإنترنت الفيبوناتشي
+
+274
+00:25:52,250 --> 00:25:55,310
+فأبداً أحط plus one هنا، و plus one هنا
+
+275
+00:26:19,260 --> 00:26:23,320
+واضحة، بس هي التغيير
+
+276
+00:26:23,320 --> 00:26:28,560
+الطفيف اللي، إيش؟ طبعاً هو في الآخر في الـ complexity
+
+277
+00:26:28,560 --> 00:26:34,640
+النهائية، هيطلع معايا الرقم هذا، طبعاً هنا برضه كمان
+
+278
+00:26:34,640 --> 00:26:43,000
+هه
+
+279
+00:26:43,000 --> 00:26:49,080
+بدي، أنا مخبط يعني، لأ، هي الـ a of n زائد واحد، اللي هو
+
+280
+00:26:49,080 --> 00:26:57,220
+هيتو الـ B of N، علاقتها بالـ A of N، أنه إيش الـ A of
+
+281
+00:26:57,220 --> 00:27:03,920
+N كله ببقى فعلياً واحد، بس علاقتها بالـ F of N أنه هي
+
+282
+00:27:03,920 --> 00:27:12,500
+الـ F of N اللي بعده، صح؟ ولا هيتو هذا، هنا، زائد واحد
+
+283
+00:27:12,500 --> 00:27:18,250
+في الـ index، في الـ N، جوا في الـ N، بس بالنسبة للـ A
+
+284
+00:27:18,250 --> 00:27:24,730
+بالنسبة للـ A أكتر منها بواحد، بس بالنسبة للـ F هي
+
+285
+00:27:24,730 --> 00:27:28,490
+العنصر اللي جابه، هي العنصر اللي جابه في
+
+286
+00:27:28,490 --> 00:27:38,770
+السلسلة، تمام؟ لذلك ننتبه أن الـ P of N عشان أسقط
+
+287
+00:27:38,770 --> 00:27:42,510
+عليها الـ solution تبع الـ F، هذا الـ solution هيتو
+
+288
+00:27:42,510 --> 00:27:50,770
+هذا الـ solution، وهي هيتو الـ
+
+289
+00:27:50,770 --> 00:27:54,270
+X هذا تبع هذه المتتالية، هذه المتتالية تبعت
+
+290
+00:27:54,270 --> 00:27:58,470
+الفيبوناتشي ولا لأ؟ لأن الفيبوناتشي هو بالأصل الـ F of
+
+291
+00:27:58,470 --> 00:28:04,690
+N بيساوي F of N ناقص واحد زائد F of N ناقص اثنين
+
+292
+00:28:04,690 --> 00:28:12,270
+وهذا يعني F of N ناقص F of N ناقص واحد ناقص F of N
+
+293
+00:28:12,270 --> 00:28:15,130
+ناقص اثنين يساوي صفر
+
+294
+00:28:18,010 --> 00:28:22,490
+متتالية الـ Fibonacci تنطبق على الصيغة هذه
+
+295
+00:28:22,490 --> 00:28:24,770
+وبالتالي ينطبق عليها الـ solution هذه على طول
+
+296
+00:28:24,770 --> 00:28:32,530
+directly، بدون أي تغيير، لكن متتالية الـ B اختلفت في
+
+297
+00:28:32,530 --> 00:28:42,840
+أنها سابق متتالية الـ F بخطوة واحدة، فلذلك عشان
+
+298
+00:28:42,840 --> 00:28:46,880
+السابق هذا، بس بقول أن الـ P of N بيساوي F of N زائد
+
+299
+00:28:46,880 --> 00:28:50,620
+الواحد، وبالتالي بحكي هذا الكلام، على القصة، لأن بقول
+
+300
+00:28:50,620 --> 00:28:55,860
+مرة أخرى أنه طبعاً هذا الكلام، الآن الـ B مش هي هدفي،
+
+301
+00:28:55,860 --> 00:29:00,540
+هدفي الـ A، فخلاص الـ A مش علاقتها بالـ B، أنا أقل
+
+302
+00:29:00,540 --> 00:29:03,960
+منها بواحد، خلاص هذا الآن هو عبارة عن الـ solution
+
+303
+00:29:03,960 --> 00:29:08,040
+تبعي اللي أنا ببحث عنه، اللي بيوصف لي عدد مرات تنفيذ
+
+304
+00:29:08,040 --> 00:29:10,300
+الـ additions، عدد مرات الـ additions في هذه الـ
+
+305
+00:29:10,300 --> 00:29:16,830
+algorithm، okay، الآن لما أفك هذه وأبسطها بيطلع واحد
+
+306
+00:29:16,830 --> 00:29:21,990
+على جذر الخمس، ضرب في أس N زائد واحد، مظبوط؟ وهنا
+
+307
+00:29:21,990 --> 00:29:25,870
+نفسه، بننقص عليه هذا، صح؟ وفي الآخر بنقصه منه، كل
+
+308
+00:29:25,870 --> 00:29:30,130
+هذه الـ terms مالهاش .. مالهاش أهمية، اللي هي أهمية
+
+309
+00:29:30,130 --> 00:29:33,190
+اللي هو الـ term هذا، اللي هو مرفوع، أو الـ term هذا
+
+310
+00:29:33,190 --> 00:29:37,870
+اللي هو مرفوع، N إلى N زائد واحد، N زائد واحد و N
+
+311
+00:29:37,870 --> 00:29:41,750
+نفس
+
+312
+00:29:41,750 --> 00:29:47,720
+الـ complexity، فأنا بقدر أحكم على، في النهاية، أن الـ
+
+313
+00:29:47,720 --> 00:29:55,540
+a of n is big، إيش خبيتها أنا؟ big، إيش؟ theta ولا big
+
+314
+00:29:55,540 --> 00:30:00,520
+o؟ theta، لأن الـ algorithm ليهاش worst case و best
+
+315
+00:30:00,520 --> 00:30:08,020
+case، صح؟ كلها نفس الـ case، big theta of phi أس n، الـ
+
+316
+00:30:08,020 --> 00:30:12,800
+Phi أو Phi .. الـ Phi و Phi، نفس الأشياء هما
+
+317
+00:30:12,800 --> 00:30:15,960
+two constants، سواء بتاخد هذا وليه بتاخد هذا
+
+318
+00:30:15,960 --> 00:30:20,360
+ما فرقتش، الفرق في وين؟ فأنا بعتبرهم لأُس إيش؟ okay
+
+319
+00:30:20,360 --> 00:30:26,840
+فالـ complexity هي هي، الآن هذه بس الصيغة أنه إحنا لو
+
+320
+00:30:26,840 --> 00:30:30,220
+بدنا ننظر لـ N على أنه رقم، يعني الـ .. أنا بدي
+
+321
+00:30:30,220 --> 00:30:34,840
+أحسب الفيبوناتشي، هي الـ .. المتين، المتين هذا هي الـ N
+
+322
+00:30:34,840 --> 00:30:38,120
+لو أنا بدنا ننظر لها بالـ binary، أن هي عبارة عن
+
+323
+00:30:38,120 --> 00:30:41,940
+binary number، متكون من عدد من الـ bits، عدد الـ bits
+
+324
+00:30:41,940 --> 00:30:45,900
+هذا، له small b، خلاص، بصيغ الـ complexity على أساس أن
+
+325
+00:30:45,900 --> 00:30:52,560
+فاي، بدل ما أقول في أس n، في أس اثنين أس b، لأنه
+
+326
+00:30:52,560 --> 00:30:59,580
+تساوي، واثنين أس b، لما بتاخد عدد
+
+327
+00:30:59,580 --> 00:31:05,100
+الـ bits اللي في n، تساوي واثنين أس b، هذه طاعة مش
+
+328
+00:31:05,100 --> 00:31:08,260
+بيه
+
+329
+00:31:08,260 --> 00:31:16,620
+شكلها زي الطاعة، خلاص، ماشي، الحالة okay، هذه
+
+330
+00:31:16,620 --> 00:31:22,460
+الـ tree اللي حكينا عنها، وهذه بعد هيك الـ other
+
+331
+00:31:22,460 --> 00:31:25,800
+solutions اللي كنا already ذكرناهم إحنا في بداية
+
+332
+00:31:25,800 --> 00:31:30,940
+الحكاية، ذكرناهم على أساس التوضيح، أنه هي مش الوحيدة
+
+333
+00:31:30,940 --> 00:31:34,080
+مش الـ solution الوحيد، أنه في غيرها، وهدول غيرها
+
+334
+00:31:34,080 --> 00:31:40,580
+أحسن منها، أحسن منها من ناحية الـ performance هذه
+
+335
+00:31:40,580 --> 00:31:43,680
+الآن الـ algorithm اللي هي عبارة عن الـ non
+
+336
+00:31:43,680 --> 00:31:46,000
+recursive algorithm
+
+337
+00:31:51,110 --> 00:31:55,030
+وبتستخدم array، الـ F، كابت، الّلي هي عبارة عن array، و
+
+338
+00:31:55,030 --> 00:31:59,190
+إحنا قلنا أن الـ array هذه ممكن أستغنى عنها أيضاً، و
+
+339
+00:31:59,190 --> 00:32:04,990
+بحتاج أستغنى عنها إذا بنتعامل مع N كبيرة، N بالآلاف
+
+340
+00:32:04,990 --> 00:32:10,970
+أو بالمئات، ليش أعمل array، قولها كذا مية متين، إذا
+
+341
+00:32:10,970 --> 00:32:17,010
+كان أنا معنّي بس بـ .. اللي هم العناصر الأخيرة منها
+
+342
+00:32:17,380 --> 00:32:20,820
+فأنا ممكن أستغني عن array كلها، وأحط بس ثلاثة
+
+343
+00:32:20,820 --> 00:32:24,900
+variables، variable اللي هو إيش؟ الـ f of n، و
+
+344
+00:32:24,900 --> 00:32:27,800
+variable f of n ناقص واحد، و variable f of n ناقص
+
+345
+00:32:27,800 --> 00:32:32,480
+اثنين، وأراكمهم في الـ loop هذه، loop هتظل الـ loop
+
+346
+00:32:32,480 --> 00:32:35,740
+موجودة، سواء استخدمت array ولا لأ، هتظل موجودة، بس
+
+347
+00:32:35,740 --> 00:32:39,160
+أنا ممكن أستغني، إذا أنا بتعامل مع n كبيرة، بتستغني
+
+348
+00:32:39,160 --> 00:32:46,610
+عن الـ array، هذه هي الـ formula تبع الخيار الآخر، الـ
+
+349
+00:32:46,610 --> 00:32:54,430
+explicit formula، هي هذه اللي هي نفسها، بس محذوف
+
+350
+00:32:54,430 --> 00:32:58,270
+منها، يعني أن أنت لما تدخلي هذا هنا، وتدخليه هنا، و
+
+351
+00:32:58,270 --> 00:33:01,030
+الناقص محذوف منها، هذا الـ term، ومحذوف منها الناقص
+
+352
+00:33:02,220 --> 00:33:08,880
+محذوف منها، ليش؟ لأن هذه القيمة، أولاً، فاي كاب هي
+
+353
+00:33:08,880 --> 00:33:16,640
+عبارة عن ناقص واحد على فاي، اللي هي من الآخر الرقم
+
+354
+00:33:16,640 --> 00:33:24,510
+هذا هو negative، لما أنا أرفعه، وصغير، وأقل من واحد، و
+
+355
+00:33:24,510 --> 00:33:27,630
+أنا أرفعه أس كذا وكذا وكذا، تكبر الـ .. بصغر هو ..
+
+356
+00:33:27,630 --> 00:33:33,030
+بصغر الناتج، صح؟ فبيصير تأثيره على المجموع الـ ..
+
+357
+00:33:33,030 --> 00:33:38,460
+هذا موجب، هذا .. المجموع الكلي ضئيل، هكذا أنا حتى
+
+358
+00:33:38,460 --> 00:33:41,540
+المجموع هذا بأعمله rounding، لأن الـ number فيبوناتشي
+
+359
+00:33:41,540 --> 00:33:45,780
+number عبارة عن integer value، وهذا بيطلع معاك كسور،
+
+360
+00:33:45,780 --> 00:33:48,660
+فأنا بأعمل rounding، والـ rounded value هذا هو الـ
+
+361
+00:33:48,660 --> 00:33:53,740
+number فيبوناتشي number، فعملياً أنا بقدر أستغني عن هذا
+
+362
+00:33:53,740 --> 00:33:58,960
+الشيء من الـ formula، المهم أن هذا يعني كيف لو أنا
+
+363
+00:33:58,960 --> 00:34:02,540
+بدأت أعمل الـ algorithm مبني على الـ exact formula
+
+364
+00:34:02,540 --> 00:34:08,040
+هذه، كل اللي بيلزم أنه آخذ القيمة هذه، وأضربها بعدد
+
+365
+00:34:08,040 --> 00:34:13,440
+n من المرات، يعني إذا الـ user بده، أو المطلوب هو الـ
+
+366
+00:34:13,440 --> 00:34:18,140
+Fibonacci تبع n بتساوي 100، معناته بدي أضرب الـ phi
+
+367
+00:34:18,140 --> 00:34:24,570
+هذا في الواحد على .. أو بدي أضرب الفاي في واحد على
+
+368
+00:34:24,570 --> 00:34:28,670
+جذر الخمس، وبعدين أس، بدي أرفعه أس مية، وبعدين
+
+369
+00:34:28,670 --> 00:34:31,390
+أضربه في واحد على جذر الخمس، كل العملية .. كل
+
+370
+00:34:31,390 --> 00:34:34,450
+القضية أن عملية الضرب، هي قد إيش بتكلف؟ عملية الضرب
+
+371
+00:34:34,450 --> 00:34:39,290
+لأن كسور، قد إيش بتكلف؟ بس هتبقى أقل من اللي هو الـ
+
+372
+00:34:39,290 --> 00:34:43,910
+recursive، خلاص، وهذا اللي حكينا عنه برضه، اللي هو
+
+373
+00:34:43,910 --> 00:34:48,900
+المصفوفات، أن أنا بمسك المصفوفة، وبرفعها أس N، أه، و
+
+374
+00:34:48,900 --> 00:34:53,560
+الناتج النهائي، بأخذ أي .. بأخذ الـ .. أي واحد من
+
+375
+00:34:53,560 --> 00:34:56,300
+العنصرين اللي طلعوا، أنه الهدف خير إن شاء الله
+
+376
+00:34:56,300 --> 00:34:58,640
+هي كده، أهنا بنكون خلصنا خمسة .. اثنين .. اثنين و
+
+377
+00:34:58,640 --> 00:35:01,700
+خمسة، والمحاضرة تجيب، نبدأ في أول نوع من الـ
+
+378
+00:35:01,700 --> 00:35:05,000
+algorithmات، أو الفصيلة اللي هي الـ brute force
+
+379
+00:35:05,000 --> 00:35:07,740
+algorithms، اللي هي الـ algorithms اللي بتشتغل على
+
+380
+00:35:07,740 --> 00:35:11,780
+الـ input بشكل blind، يعني بدون استراتيجية، بدون
+
+381
+00:35:11,780 --> 00:35:16,660
+استراتيجية، اللي يبقى فيها الأداء .. ماشي، الحمد لله
+
+382
+00:35:16,660 --> 00:35:17,380
+يعطيكم العافية
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..36e67427d463f5d5cf3a468643230e5752039c74
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs_postprocess.srt
@@ -0,0 +1,1528 @@
+1
+00:00:20,820 --> 00:00:23,020
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,020 --> 00:00:26,360
+المصريين اليوم إن شاء الله بنكمل كلام اللي كنا
+
+3
+00:00:26,360 --> 00:00:31,300
+بدناه في المحاضرة الماضية اللي هو computing ال nth
+
+4
+00:00:31,300 --> 00:00:35,580
+Fibonacci number وقولنا إنه المسألة دي مثلة حساب
+
+5
+00:00:35,580 --> 00:00:42,720
+قيمة ال Fibonacci number إلها عدة طرق هذه أربعة
+
+6
+00:00:42,720 --> 00:00:47,930
+ذكرنا منهم الأربعة دولة تلاتة التانية دولةذاكرناهم
+
+7
+00:00:47,930 --> 00:00:51,530
+وقلنا انهم افضل في ال performance من ال recursive
+
+8
+00:00:51,530 --> 00:00:54,650
+algorithm اللي احنا بدنا نحكي فيها طب ايش الهدف من
+
+9
+00:00:54,650 --> 00:00:58,430
+ان احنا نحكي فيه recursive algorithm فاشلة او اداء
+
+10
+00:00:58,430 --> 00:01:02,390
+سيء انه بس احنا الهدف في المرحلة دي اصلا تبعناها
+
+11
+00:01:02,390 --> 00:01:07,430
+هو تتعلم طريقة التحليل التحليل اللي هو ال running
+
+12
+00:01:07,430 --> 00:01:13,240
+time ماشي ف ..بدأ أروح على طول على هذه السلسلة
+
+13
+00:01:13,240 --> 00:01:19,520
+وصفنا زي هيك ووصفنا الـ Recurrence أو طريقة الحساب
+
+14
+00:01:19,520 --> 00:01:23,840
+تبعها أن هو عبارة عن أي عنصر عبارة عن مجموع
+
+15
+00:01:23,840 --> 00:01:28,420
+العنصرين اللي بيسبقوه وهذه هي ال algorithm صح هذه
+
+16
+00:01:28,420 --> 00:01:35,680
+هي ال recursive algorithm اللي بتحسب لأن
+
+17
+00:01:35,680 --> 00:01:38,540
+من شكل ال algorithm هذي إذا بتذكرنا كنا بنحكي عن
+
+18
+00:01:38,540 --> 00:01:43,820
+ال towers of Hanoi problemو ذكرنا letter E هاي
+
+19
+00:01:43,820 --> 00:01:48,760
+letter E تبع ال Towers of Hanoi صح؟ انه أول
+
+20
+00:01:48,760 --> 00:01:52,520
+استدعاء بترتب على استدعاء N كل واحد منهم بترتب على
+
+21
+00:01:52,520 --> 00:01:54,920
+استدعاء N كل واحد من هدول بترتب على استدعاء N هذه
+
+22
+00:01:54,920 --> 00:02:01,890
+letter E تمتد من N ل 1 يعني number of levelsو احنا
+
+23
+00:02:01,890 --> 00:02:08,490
+عرضناها على اساس انه من شكلها بنقدر ال running
+
+24
+00:02:08,490 --> 00:02:12,050
+time لان ال running time هو بمثابة عدد الاستدعاءات
+
+25
+00:02:12,050 --> 00:02:15,030
+و عدد الاستدعاءات هي عدد ال nodes لان كل node تمثل
+
+26
+00:02:15,030 --> 00:02:19,330
+استدعاء فالحسبة المباشرة لعدد ال nodes لمثل هذه ال
+
+27
+00:02:19,330 --> 00:02:25,050
+tree اللي هي binary tree طولها او ارتفاع يعني L ال
+
+28
+00:02:25,050 --> 00:02:31,080
+L بساوي Nهو عبارة عن two to the n minus one فكان
+
+29
+00:02:31,080 --> 00:02:37,500
+الهدف ان نقدر نقدر ال execution time لو احنا بدنا
+
+30
+00:02:37,500 --> 00:02:40,740
+نعمل مثل هذا لتري ل الفيبوناتش numbers ايش اللي
+
+31
+00:02:40,740 --> 00:02:47,460
+هيكون عندها اول استدعية لما انا بستدعي f على nالـ
+
+32
+00:02:47,460 --> 00:02:52,320
+Fibonacci number F of N بيساوي F of N ناقص واحد
+
+33
+00:02:52,320 --> 00:02:56,700
+زائد F of N ناقص اتنين يعني ال algorithm هتستدعي
+
+34
+00:02:56,700 --> 00:03:00,540
+نفسها مرتين زي هذه برضه هتستدعي نفسها مرتين صح ولا
+
+35
+00:03:00,540 --> 00:03:04,100
+لأ هتاخد ال output تبع هذه و ال output تبعها جلسة
+
+36
+00:03:04,100 --> 00:03:06,730
+ده و ال output تبعها جلسة ده و تجمعهم مع بعضفبقدر
+
+37
+00:03:06,730 --> 00:03:11,190
+انا اعمل ال tree شبيه بال .. بال tree هذه بس
+
+38
+00:03:11,190 --> 00:03:15,030
+هتختلف شوية صغيرة ان هاي الاستدعاء الاول N اترتب
+
+39
+00:03:15,030 --> 00:03:20,390
+عليه استدعاء ل N ناقص واحد و N ناقص اتنين صح؟ صح؟
+
+40
+00:03:20,390 --> 00:03:24,070
+هنا كان N ناقص واحد N ناقص واحد هذا التوازف هنوي
+
+41
+00:03:24,070 --> 00:03:28,870
+هذا الاستدعاء الان ايش بترتب عليه؟ ايش اللي جاب ال
+
+42
+00:03:28,870 --> 00:03:33,050
+N ناقص واحد؟ و التاني؟ اللي جاب ليه اللي جابها
+
+43
+00:03:33,050 --> 00:03:39,010
+يعني؟ ناقص ثلاثة هنا ايش؟إن ماقصة تلاتة إن ماقصة
+
+44
+00:03:39,010 --> 00:03:43,390
+أربعة بيستمر هذا الكلام خلّينا نشوف هذه الـ tree
+
+45
+00:03:43,390 --> 00:03:49,830
+جاهزة موجودة عندى هنا في ال slide ورا ورا هيئته بس
+
+46
+00:03:49,830 --> 00:03:53,130
+هو عاملها محدد إن ان بدأ تبدأ بخمسة
+
+47
+00:03:56,610 --> 00:04:02,450
+هي ترتب على f of 4 و f of 3 وهي نقص واحدة و نقص
+
+48
+00:04:02,450 --> 00:04:06,430
+اتنين و بيستمروا و هايلي تري هايلي تري كلها يعني
+
+49
+00:04:06,430 --> 00:04:10,890
+في الآخر هتعيل leaf no leaf calls أسلحت النهائية f
+
+50
+00:04:10,890 --> 00:04:15,230
+of zero f of one f of zero ماشي الآن ال tree صغيرة
+
+51
+00:04:15,230 --> 00:04:20,330
+صح بس ليش لأن الرقم fن بتساوي خمسة لو كبر ال n
+
+52
+00:04:20,330 --> 00:04:26,730
+يعني صار مية مثلا متين اكتر من هيك بتكبر بشكل اكبر
+
+53
+00:04:26,730 --> 00:04:32,210
+بكتير صح فيعني بنقدر نتخيل ان النمو تبع ال tree
+
+54
+00:04:32,210 --> 00:04:39,970
+هيبقى النمو exponential يعنيكل level اللي بعده
+
+55
+00:04:39,970 --> 00:04:47,230
+عبارة عن اقص اتنين اقص ال number الاساسي اللي هو n
+
+56
+00:04:47,230 --> 00:04:52,830
+فهي المشكلة الأساسية هنا اللي هي سرعة نمو ال tree
+
+57
+00:04:52,830 --> 00:04:57,650
+هذه ال notes اللي فيها هم يمثلوا الاستدعاءاتفكل ما
+
+58
+00:04:57,650 --> 00:05:01,250
+كترت ال notes يعني كترة الاستدعاءات يعني زاد الزمن
+
+59
+00:05:01,250 --> 00:05:07,370
+صح؟ فالمشكلة الأولى والمشكلة الأساسية هنا وليه مش
+
+60
+00:05:07,370 --> 00:05:11,130
+المشكلة الوحيدة هي النمو المشكلة التانية اذا روحتي
+
+61
+00:05:11,130 --> 00:05:16,690
+ان فيها استدعاءات مكررة يعني ال algorithm هي F of
+
+62
+00:05:16,690 --> 00:05:21,350
+2 وهي F of 2 وهي F of 2 هدول التلت استدعاءات على
+
+63
+00:05:21,350 --> 00:05:25,340
+نفس ال value و هيعملوا نفس الشغلالشغل هذا مكرر
+
+64
+00:05:25,340 --> 00:05:29,480
+مالوش لازم صح المفروض المرة واحدة نحسب ال F of two
+
+65
+00:05:29,480 --> 00:05:37,360
+و نستخدمها بعد هي كمان مات محتاجناهاوهذا يعني بواد
+
+66
+00:05:37,360 --> 00:05:39,880
+أخر لعدم ال efficiency أو سبب أخر لعدم ال
+
+67
+00:05:39,880 --> 00:05:44,120
+efficiency تبع ال algorithm بتذكروا ال ال non
+
+68
+00:05:44,120 --> 00:05:48,520
+recursive algorithm بتحسب على طول بتحسب ال f of n
+
+69
+00:05:48,520 --> 00:05:52,800
+و ال f of n نقص واحد و بتجمعهم أسف f of نقص واحد و
+
+70
+00:05:52,800 --> 00:05:56,930
+f of نقص اتنين و بتجمعهم علي f of nوبتكرر هذه
+
+71
+00:05:56,930 --> 00:06:00,790
+الكلام على ال array فما بتحسب ال value أكتر من مرة
+
+72
+00:06:00,790 --> 00:06:04,970
+هو مرة وبتراكم عليه اللي بعده انما هنا ال
+
+73
+00:06:04,970 --> 00:06:09,010
+algorithm تستدعي نفسها على نفس ال input أكتر من
+
+74
+00:06:09,010 --> 00:06:13,990
+مرة وهذا inefficient طيب ماشي الحل يوجه احنا بدنا
+
+75
+00:06:13,990 --> 00:06:18,990
+نرجع الآن يعني بعد ما شوفنا ال tree تبع تستدعيات
+
+76
+00:06:18,990 --> 00:06:23,570
+ال algorithm هذه نرجع تاني إلى اللي هو التحليل
+
+77
+00:06:23,570 --> 00:06:32,380
+تبعهاأول اشي قلنا هيات ال definition وهي
+
+78
+00:06:32,380 --> 00:06:38,400
+ال algorithm صح؟ هي ال algorithm انه اذا كانت ال N
+
+79
+00:06:38,400 --> 00:06:42,560
+أقل من او تسوى واحد return N فهذا الكلام بينطبق
+
+80
+00:06:42,560 --> 00:06:47,020
+على N Zero N بتسوى Zero و N بتسوى واحد اكبر من ال
+
+81
+00:06:47,020 --> 00:06:53,070
+واحد بنعمل استدعاءاتيبقى الآن ال basic operation
+
+82
+00:06:53,070 --> 00:06:57,030
+هي ال addition صح ال number of additions عدد
+
+83
+00:06:57,030 --> 00:07:00,990
+المرات هو يساوي عدد مرات ال additions اللي بدهم
+
+84
+00:07:00,990 --> 00:07:06,010
+يحصلوا في هذا الاستدعاء زائد عدد مرات ال additions
+
+85
+00:07:06,010 --> 00:07:11,110
+اللي بدهم يحصلوا في هذا الاستدعاء زائد ال addition
+
+86
+00:07:11,110 --> 00:07:16,000
+اللي بتحصلفي الاستدعاء الحالي احنا في استدعاء
+
+87
+00:07:16,000 --> 00:07:20,260
+ونعمل استدعاء ن فرعيات كده يكون الاستدعاء فرعي فيه
+
+88
+00:07:20,260 --> 00:07:25,240
+عملية addition بدنا نشوفهم ونضيف عليهم عملية الجمع
+
+89
+00:07:25,240 --> 00:07:30,020
+النهائي اللي هي بتحصل في الاستدعاء الحالي يبقى a
+
+90
+00:07:30,020 --> 00:07:36,400
+اللي هي number of additions بساوي ل n بساوي number
+
+91
+00:07:36,400 --> 00:07:40,080
+of additions ل n نقص واحدزاد number of additions
+
+92
+00:07:40,080 --> 00:07:48,020
+لان نقص نت زاد ال addition الحالية لما نكون n صفر
+
+93
+00:07:48,020 --> 00:07:51,280
+مافيش additions لما نكون n بساوي واحد مافيش
+
+94
+00:07:51,280 --> 00:07:57,680
+additions طيب الآن هذا هذا
+
+95
+00:07:57,680 --> 00:08:00,400
+ال recurrence اللي بدنا نشتغل عليها نعملها
+
+96
+00:08:00,400 --> 00:08:04,900
+analysis صح لان هنا
+
+97
+00:08:13,070 --> 00:08:17,450
+لو شيلت الواحد هذا أصبح أن أنا بقول عدد عمليات
+
+98
+00:08:17,450 --> 00:08:21,350
+الجامعة هي فقط عدد عمليات الجامعة اللي بدأ تم هنا
+
+99
+00:08:21,350 --> 00:08:26,830
+زائد عدد عمليات الجامعة اللي بدأ تم هنا وانسيت أنه
+
+100
+00:08:26,830 --> 00:08:30,610
+كل واحد من دول الصداقات في الآخر أنا النتشت بيبقى
+
+101
+00:08:30,610 --> 00:08:32,170
+هم هجمعه
+
+102
+00:08:36,980 --> 00:08:40,580
+هلو الـ plus هي عملية جملة بتتم بعد ما تم الجملة
+
+103
+00:08:40,580 --> 00:08:43,900
+اللى حصل هنا والجملة اللى حصل هنا هتم وراهم okay
+
+104
+00:08:43,900 --> 00:08:49,100
+فده هي الواحد اللي هي العملية تمام الان هذا ال
+
+105
+00:08:49,100 --> 00:08:51,780
+recurrence اللى هو a of n
+
+106
+00:09:08,060 --> 00:09:15,780
+بدي اصيغه كالتالي ده جيب ال terms على الشمال و
+
+107
+00:09:15,780 --> 00:09:25,160
+الواحدة اخليه برا okay
+
+108
+00:09:34,640 --> 00:09:40,860
+جاب الصيغة هادى الصيغة هادى احنا لما ن .. لما ن ..
+
+109
+00:09:40,860 --> 00:09:45,580
+عملنا ال towers of Hanoi اه ال towers of Hanoi
+
+110
+00:09:45,580 --> 00:09:51,500
+عملنا backward substitution كان عندي .. كان عندي M
+
+111
+00:09:51,500 --> 00:09:59,780
+of N بساوي اتنين M of N ناقص واحد زائد ايش واحد صح
+
+112
+00:09:59,780 --> 00:10:06,200
+اهو عملنا backward
+
+113
+00:10:06,200 --> 00:10:09,680
+substitution و حللناها هذه عادة لان عشان فيها two
+
+114
+00:10:09,680 --> 00:10:15,160
+terms هتغلبنا شوية ولكن برضه كمان في سبب اخر ان في
+
+115
+00:10:15,160 --> 00:10:20,260
+عندي انا حلول جاهزة ل recurrence شبيه بهذه ال
+
+116
+00:10:20,260 --> 00:10:23,320
+recurrence هذا هذا ال recurrence
+
+117
+00:10:26,620 --> 00:10:32,520
+شبيه بها دي عشان اخليه فعلا شبيه روحت انا زحط ال
+
+118
+00:10:32,520 --> 00:10:37,180
+terms ال a على شجة و ال واحدة شجة صار في الأول
+
+119
+00:10:37,180 --> 00:10:42,520
+كانت يساوي لما زحته هيك صار أكتر شبها بس بضلوا
+
+120
+00:10:42,520 --> 00:10:47,340
+الفرق ايه عشان في عندي zero و هنا one هناك في zero
+
+121
+00:10:47,340 --> 00:10:52,630
+و هنا oneالفرق التاني أنه في عندي يعني طبعا أن ال
+
+122
+00:10:52,630 --> 00:10:56,710
+a ال a ال a هي مقابل ال x ال x ده هي مقابل ال
+
+123
+00:10:56,710 --> 00:11:02,090
+function هي مقابل ال a اللي عندي هنا و بعدين في
+
+124
+00:11:02,090 --> 00:11:05,670
+فرق آخر فرق الأولاني كان أنه هنا في zero هنا في
+
+125
+00:11:05,670 --> 00:11:10,090
+one الفرق التاني أنه في عندي a و b و c هدولة
+
+126
+00:11:10,090 --> 00:11:15,150
+constants fixed real numbers وهدي مش مشكلة لأنه
+
+127
+00:11:15,150 --> 00:11:18,270
+أنا عمليا في الصيغة هذه بقدر اتخيل أن ال a بيسوي
+
+128
+00:11:18,270 --> 00:11:26,630
+واحدو ال B بساوي و ال C بساوي نقص لأن بالأصل
+
+129
+00:11:26,630 --> 00:11:30,330
+الصيغة فيها زائد ف .. صح؟ فمش خلاف هو بقوللي عادي
+
+130
+00:11:30,330 --> 00:11:36,050
+مش مشكلة طب إيش السفرية أنا .. لما أنا أتوجه ناحية
+
+131
+00:11:36,050 --> 00:11:41,330
+الصيغة هذه الصيغة هذه محلولة و خالصة يعني هنا ال X
+
+132
+00:11:41,330 --> 00:11:46,790
+of N على طوليعني بقدر اقول بما انه هذه الصيغة
+
+133
+00:11:46,790 --> 00:11:51,170
+الحال تبعها هيك يبقى الحال تبعها هذه a of n على
+
+134
+00:11:51,170 --> 00:11:57,650
+طول بساوي واحد على جدر الخمسة في فاي و سئن ناقص
+
+135
+00:11:57,650 --> 00:12:02,830
+طبعا ايش بتسألوني ايش فاي فاي و فاي كاب هي اتهم
+
+136
+00:12:02,830 --> 00:12:04,710
+هذه
+
+137
+00:12:06,920 --> 00:12:10,220
+باعتبار واحد زائد جزر الخمس على اتنين والتانية
+
+138
+00:12:10,220 --> 00:12:15,720
+مقلوبة بالناقص يعني ناقص واحدة على الفواية وهذه هي
+
+139
+00:12:15,720 --> 00:12:21,760
+ال constants خلاص بحطهم في ال formula و بحسب بمعنى
+
+140
+00:12:21,760 --> 00:12:26,920
+ايش ان انا ال recurs هذا تلقائيا معايا الحل تبعه
+
+141
+00:12:27,730 --> 00:12:31,150
+تذكروا دايما انه احنا بنبدأ بالـ Recurrence بروح
+
+142
+00:12:31,150 --> 00:12:35,010
+بنحل ال Recurrence ايش يعني نحل ال Recurrence يعني
+
+143
+00:12:35,010 --> 00:12:40,110
+نحصل على exact formula اللي تعطيني بالظبط كده عدد
+
+144
+00:12:40,110 --> 00:12:44,470
+مرات ال operation فهذا يعني ال Recurrence محلول
+
+145
+00:12:44,470 --> 00:12:49,610
+محلول هيته كل الإشكالية دلت اللي هي الواحد هذا
+
+146
+00:12:49,610 --> 00:12:54,210
+ماقدر اطبق ال Recurrence الحل هداعلى ال Recurrence
+
+147
+00:12:54,210 --> 00:12:57,630
+اللي معايا طول ما انه هنا في واحد و هناك في Zero
+
+148
+00:12:57,630 --> 00:13:02,930
+ال Zero هذا بوجوده بيجعل ان هذا ال Recurrence
+
+149
+00:13:02,930 --> 00:13:07,070
+بيسموه Homogeneous Second Order Linear Recurrence
+
+150
+00:13:07,070 --> 00:13:11,950
+ال واحد معناته ان الفرق ما بين ال generic term و
+
+151
+00:13:11,950 --> 00:13:17,960
+ال two terms اللي جابلههنا الفرق صفر لكن هنا الفرق
+
+152
+00:13:17,960 --> 00:13:21,760
+ما بين ال term و الدنيا اللى جابله غير صفر و هذا
+
+153
+00:13:21,760 --> 00:13:26,400
+بيعمل اختلاف بيخليها inhomogeneous فهذا الخلاف كيف
+
+154
+00:13:26,400 --> 00:13:31,220
+انا لان بدي اتعامل معاه بقدر اش اتحال عليه
+
+155
+00:13:31,220 --> 00:13:36,260
+بالطريقة التالية اللى هى انه انا بس واضحة واضحة
+
+156
+00:13:36,260 --> 00:13:41,060
+القضية هدفي لانأظبط الصيغة هذه بحيث تبقى مطابقة
+
+157
+00:13:41,060 --> 00:13:45,460
+للصيغة هذه عشان على طول أستخدم الحل تبعها زبطتها
+
+158
+00:13:45,460 --> 00:13:50,260
+نص الطريق بإني أنا حطيت ال terms على الشمال و تبقى
+
+159
+00:13:50,260 --> 00:13:54,660
+النص التاني أن أنا أتخلص من الواحد عشان أتخلص من
+
+160
+00:13:54,660 --> 00:13:59,620
+الواحد ماشي
+
+161
+00:13:59,620 --> 00:14:03,140
+الحال عشان أتخلص من الواحد واحد بدي
+
+162
+00:14:13,500 --> 00:14:18,980
+استخدم فункشن من عندي جابها من عندي هي عبارة عن a
+
+163
+00:14:18,980 --> 00:14:24,880
+of n بس h زائد واحد b of n هذا من عندي بيساوي a of
+
+164
+00:14:24,880 --> 00:14:28,620
+n زائد واحد الان
+
+165
+00:14:28,620 --> 00:14:33,480
+اذا b of n بيساوي a of n زائد واحد يبقى b of n نقص
+
+166
+00:14:33,480 --> 00:14:39,490
+واحد بيساوي a of n نقص واحد زائد واحدو B of N نقص
+
+167
+00:14:39,490 --> 00:14:45,170
+اتنين بيسوي A of N نقص اتنين زاد واحد تمام؟
+
+168
+00:14:45,170 --> 00:14:53,890
+وبالتالي ايضا كمان لو انا حطيت ال A of N على ناحية
+
+169
+00:14:53,890 --> 00:15:01,570
+بقدر اقول ال A of N بيسوي ال B of N نقص واحد صح؟ و
+
+170
+00:15:01,570 --> 00:15:08,470
+ال A of N نقص واحد بيسوي B of N نقص واحد نقص واحدو
+
+171
+00:15:08,470 --> 00:15:13,490
+ال a of n نقص اتنين ساوي ال b of n نقص اتنين نقص
+
+172
+00:15:13,490 --> 00:15:22,870
+واحد okay الان انا هذا ال function بدي احطها
+
+173
+00:15:22,870 --> 00:15:28,150
+استبدل ال a و ال a of n نقص واحد و ال a of n نقص
+
+174
+00:15:28,150 --> 00:15:34,630
+اتنين بال bees ايش أصبح عندى في هذا الصيرة بدي
+
+175
+00:15:34,630 --> 00:15:37,670
+استبدل ال a of n بناء على هذا الكلام ايش متساوي
+
+176
+00:15:39,620 --> 00:15:45,500
+Okay هاي ال B of N نقص واحد okay بتحطها في
+
+177
+00:15:45,500 --> 00:15:49,260
+brackets عشان نميزها عن ال two terms اللي بعدها ال
+
+178
+00:15:49,260 --> 00:15:59,940
+A of N نقص واحد B of N نقص واحد نقص واحد okay okay
+
+179
+00:16:12,000 --> 00:16:15,740
+لأ أنا مش هو هذا الهدف تبقى الهدف تبقى انه ايه لأ
+
+180
+00:16:15,740 --> 00:16:24,620
+ماشي okay صحيح ماشي
+
+181
+00:16:24,620 --> 00:16:35,660
+هو عمل الخطوة هذه في الأول طب
+
+182
+00:16:35,660 --> 00:16:43,250
+خلينا نكمل B of N ناقص اتنيننقص واحد اشهر ساوي
+
+183
+00:16:43,250 --> 00:16:52,550
+واحد طيب
+
+184
+00:16:52,550 --> 00:17:00,050
+صح
+
+185
+00:17:00,050 --> 00:17:04,450
+هيك تبقى معايا عشان انا يمكن اسهر في اشارة ولا
+
+186
+00:17:12,980 --> 00:17:18,820
+هذا ناقص او زائد؟ ناقص طيب
+
+187
+00:17:18,820 --> 00:17:24,720
+انا الان بدي اصفر بحط هنا صفر و بدى اتخلص من هدول
+
+188
+00:17:24,720 --> 00:17:29,300
+الواحدات عملية ان انا انا لو طرحت واحد من
+
+189
+00:17:29,300 --> 00:17:35,300
+الناحيتين هذا بصير صفر هذا بروح هذا بروح مظبوط بس
+
+190
+00:17:35,300 --> 00:17:39,740
+هذا بصير ناقص اتنين بروحش
+
+191
+00:17:43,280 --> 00:17:49,320
+نطرح واحد اه مانعش نطرح تلات واحدات مظبوط كلامك
+
+192
+00:17:49,320 --> 00:17:56,060
+لسه ب .. بيطلع اه بيطلع فيه مكرر اتنين اه بيروح بس
+
+193
+00:17:56,060 --> 00:18:00,940
+هذا و هذا و بيضل .. و بيضل هذا و بيضل هذا بيروحوا
+
+194
+00:18:00,940 --> 00:18:03,620
+مع بعض انتهت الجثة صح؟
+
+195
+00:18:08,980 --> 00:18:13,440
+الحين هذا احنا طرحنا واحد راح من هنا واحد وراح من
+
+196
+00:18:13,440 --> 00:18:20,340
+هنا واحد هذول اتنين بطيروا بعض مظبوط
+
+197
+00:18:20,340 --> 00:18:25,620
+هيك يبقى هذا هو الصيغة هي اللي انا بديها اللي هي
+
+198
+00:18:25,620 --> 00:18:32,880
+انه تلاتة terms الفرق ما بينه سا و صفر تمام؟
+
+199
+00:18:33,630 --> 00:18:37,590
+بديها بس مش بالظبط لإن أنا هنا جانب ال B أنا بديها
+
+200
+00:18:37,590 --> 00:18:43,470
+بال A بس خلينا نقول إنه بال B الآن ال B of N بناء
+
+201
+00:18:43,470 --> 00:18:48,730
+على ال solution هذا نعم
+
+202
+00:18:48,730 --> 00:18:52,150
+لأ
+
+203
+00:18:52,150 --> 00:18:57,730
+لأ بدي أجيب ال solution تبعها هذا مش أنا أصبح عندي
+
+204
+00:18:57,730 --> 00:19:03,920
+الصيغة هذه مطابقة للصيغة هذهيبقى ال solution تبقى
+
+205
+00:19:03,920 --> 00:19:08,060
+هذه بينطبق على هذه ال solution هي ان هو ايش P of N
+
+206
+00:19:08,060 --> 00:19:13,960
+بساوي واحد على جذر الخمسة في ايش في ن نقص في ن نقص
+
+207
+00:19:13,960 --> 00:19:23,500
+في ن نقص في ن تمام طيب طيب ال P of N ايش علاقتها
+
+208
+00:19:23,500 --> 00:19:29,600
+بال A of N ال A of N هي هذا نقص واحد يبقى خلاص ال
+
+209
+00:19:29,600 --> 00:19:40,700
+A of N بساوي هذانفسه نقص واحد كاب هذه in نقص واحد
+
+210
+00:19:40,700 --> 00:19:46,420
+كل هذا نزل و طرحت منه واحد صحيك؟
+
+211
+00:19:46,420 --> 00:19:53,060
+خلاص هذه الآن هي ال exact formula لعدد مرات ال
+
+212
+00:19:53,060 --> 00:19:53,440
+addition
+
+213
+00:20:01,940 --> 00:20:07,220
+بس في شغلة صغيرة بس بالضالة بس اول شي قبل الشغلة
+
+214
+00:20:07,220 --> 00:20:19,700
+الصغيرة هذا واضح الحين الشغلة
+
+215
+00:20:19,700 --> 00:20:23,760
+الصغيرة هي ان المتتالية هذه ال B
+
+216
+00:20:29,750 --> 00:20:36,690
+أحنا إيش قلنا ال A of N ال A of Zero Zero و ال A
+
+217
+00:20:36,690 --> 00:20:45,750
+of واحد واحد مش واحد Zero Zero Zero اه
+
+218
+00:20:45,750 --> 00:20:50,650
+صح صح صح أنا خلطت ما بين ال A و ال F ال F هي
+
+219
+00:20:50,650 --> 00:20:53,750
+متتالية ال number و ال A هي متتالية عدد مرات
+
+220
+00:20:53,750 --> 00:20:58,970
+الجمال تمام طيب إيش ال B of Zero
+
+221
+00:21:04,540 --> 00:21:13,560
+P of واحد P of
+
+222
+00:21:13,560 --> 00:21:14,880
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+223
+00:21:14,880 --> 00:21:15,020
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+224
+00:21:15,020 --> 00:21:15,120
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+225
+00:21:15,120 --> 00:21:15,180
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+226
+00:21:15,180 --> 00:21:15,280
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+227
+00:21:15,280 --> 00:21:15,420
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+228
+00:21:15,420 --> 00:21:15,580
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+229
+00:21:15,580 --> 00:21:15,920
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+230
+00:21:15,920 --> 00:21:18,360
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+231
+00:21:18,360 --> 00:21:31,520
+واحد P of واحد P of واحد P of واحد P of واحد
+
+232
+00:21:32,590 --> 00:21:40,190
+أول عنصرين في المتتالية هذه المتتالية ينطبق عليها
+
+233
+00:21:40,190 --> 00:21:52,550
+اللي هو نفس المتتالية تبع الفيبوناتشي هذه
+
+234
+00:21:52,550 --> 00:21:57,370
+المتتالية الصيغةتنطبق على الـ Fibonacci numbers
+
+235
+00:21:57,370 --> 00:21:59,670
+تسلسل الـ Fibonacci numbers خلّي بالكوا ان فيها
+
+236
+00:21:59,670 --> 00:22:03,730
+تلت متتاليات الان الـ Fibonacci numbers نفسها اللي
+
+237
+00:22:03,730 --> 00:22:12,990
+هي Zero واحد ايش اللي بعده واحد
+
+238
+00:22:12,990 --> 00:22:18,030
+نين الاخر
+
+239
+00:22:18,030 --> 00:22:24,510
+ماشي الان الـ A of N الـ A of N تبدأ بـ Zero Zero
+
+240
+00:22:27,470 --> 00:22:37,950
+بعدين اشي هادا؟ بعدين لأ بنضيف واحد عادى الآن a of
+
+241
+00:22:37,950 --> 00:22:42,190
+n للصفر
+
+242
+00:22:56,360 --> 00:23:05,600
+للصفر و للواحد صفر لكن بعد هيك ليش صفر؟ الـ A of N
+
+243
+00:23:05,600 --> 00:23:15,020
+هي واحد
+
+244
+00:23:15,020 --> 00:23:22,600
+زائد صفر زاد واحد صح؟
+
+245
+00:23:22,600 --> 00:23:25,140
+مظبوط
+
+246
+00:23:26,880 --> 00:23:29,340
+أنا بدي أكت انتبهي أنه أحيانا بنلخبط و احنا في ال
+
+247
+00:23:29,340 --> 00:23:33,460
+analysis F و A لأنهم كلهم of N و كلهم بيجوا N نقص
+
+248
+00:23:33,460 --> 00:23:38,280
+واحد نقص اتنين بنفكرهم نفس الاشي okay؟ هو مايوش
+
+249
+00:23:38,280 --> 00:23:43,360
+نفس الاشي عدد العمليات اللي بتتم لحساب الفبوناتش
+
+250
+00:23:43,360 --> 00:23:50,460
+تبع أي رتبة لا يساوي الفبوناتش نفسه اه؟ هي
+
+251
+00:23:50,460 --> 00:23:53,420
+الفبوناتش نفسها هي ال value بس ده لا يساوي عدد
+
+252
+00:23:53,420 --> 00:23:56,950
+مرات حساب .. العملية الجمل اللي لازمة لحسابههذا
+
+253
+00:23:56,950 --> 00:24:02,090
+ايش هنا 11 اتناشر
+
+254
+00:24:02,090 --> 00:24:07,530
+عملية جمل عشان اطلع ال تمانية هذه و هذا برضه مختلف
+
+255
+00:24:07,530 --> 00:24:17,890
+عن ال B بس اختلافها هذا بسيط بلا لا انه ايش ال
+
+256
+00:24:17,890 --> 00:24:22,890
+B of N صفر واحد و هنا واحد
+
+257
+00:24:25,490 --> 00:24:35,250
+طيب P of N P of N P of N P of N P of N P of N P of
+
+258
+00:24:35,250 --> 00:24:35,270
+of N P of N P of N P of N P of N P of N P of N P
+
+259
+00:24:35,270 --> 00:24:35,390
+of N P of N P of N P of N P of N P of N P of N P
+
+260
+00:24:35,390 --> 00:24:35,570
+of N P of N P of N P of N P of N P of N P of N P
+
+261
+00:24:35,570 --> 00:24:37,210
+of N P of N P of N P of N P of N P of N P of N P
+
+262
+00:24:37,210 --> 00:24:39,750
+of N P of N P of N P of N P of N P of N P of N P
+
+263
+00:24:39,750 --> 00:24:44,650
+of N P
+
+264
+00:24:44,650 --> 00:24:49,510
+of N P of N P
+
+265
+00:24:49,510 --> 00:24:56,460
+ofعشرين صح هتلاحظ ان هذا ماشي مع مين ال B of N
+
+266
+00:24:56,460 --> 00:25:01,300
+ماشي مع ال F of N بس سابجه بواحد سابجه ولا بتأخر
+
+267
+00:25:01,300 --> 00:25:08,080
+عنه سابجه لأنه بيجيبه قبل ما هذا كيصر يعني ال B of
+
+268
+00:25:08,080 --> 00:25:17,000
+خمسة بتساوي ال F of ستة صح ال B ال B of خمسة
+
+269
+00:25:17,000 --> 00:25:19,180
+بتساوي ال F of ستة
+
+270
+00:25:22,260 --> 00:25:31,380
+يبقى لها ال P of N بساوي ال F of N plus one صح؟
+
+271
+00:25:31,380 --> 00:25:37,860
+okay هذه ال solution بينطبق على المتتالي تبع ال
+
+272
+00:25:37,860 --> 00:25:44,120
+Fibonacci يبقى لما انا بدي استخدمه بدي اعمل حسابي
+
+273
+00:25:44,120 --> 00:25:52,250
+ان ال N تبعت ال Pأه ساب ده الانترنت الفيبوناتشي
+
+274
+00:25:52,250 --> 00:25:55,310
+فابد أحط plus one هنا و plus one هنا
+
+275
+00:26:19,260 --> 00:26:23,320
+واضحة بس هي التغيير
+
+276
+00:26:23,320 --> 00:26:28,560
+الطفيف اللي ايش طبعا هو في الآخر في ال complexity
+
+277
+00:26:28,560 --> 00:26:34,640
+النهائية هيطلع معايا الرقم هذا طبعا هنا برضه كمان
+
+278
+00:26:34,640 --> 00:26:43,000
+هه
+
+279
+00:26:43,000 --> 00:26:49,080
+بدي انا مخبط يعنى لأ هي ال a of n زائد واحداللي هو
+
+280
+00:26:49,080 --> 00:26:57,220
+هيتو ال B of N علاقتها بال A of N انه ايش ال A of
+
+281
+00:26:57,220 --> 00:27:03,920
+N كله ببقى فعلي واحد بس علاقتها بال F of N انه هي
+
+282
+00:27:03,920 --> 00:27:12,500
+ال F of N اللي بعده صح ولا هيتو هذا هنا ازايد واحد
+
+283
+00:27:12,500 --> 00:27:18,250
+في ال index في ال N جوا في ال Nبس بالنسبة للـ A 8
+
+284
+00:27:18,250 --> 00:27:24,730
+بالنسبة للـ A أكتر منها واحد بس 8 بالنسبة للـ F هي
+
+285
+00:27:24,730 --> 00:27:28,490
+الأنصار اللي جابله هي الأنصار اللي جابله في
+
+286
+00:27:28,490 --> 00:27:38,770
+السلسلة تمام؟ لذلك ننتبه أن الـ P of N عشان أسقط
+
+287
+00:27:38,770 --> 00:27:42,510
+عليها ال solution تبع الـ F هذا ال solution هيته
+
+288
+00:27:42,510 --> 00:27:50,770
+هذا ال solutionوهي هيته ال
+
+289
+00:27:50,770 --> 00:27:54,270
+X هذا تبع هذه المتتالية هذه المتتالية تبعت
+
+290
+00:27:54,270 --> 00:27:58,470
+الفيبوناتش ولا لأ لأن الفيبوناتش هو بالاصل ال F of
+
+291
+00:27:58,470 --> 00:28:04,690
+N بيساوي F of N ناقص واحد زائد F of N ناقص اتنين
+
+292
+00:28:04,690 --> 00:28:12,270
+وهذا يعني F of N ناقص F of N ناقص واحد ناقص F of N
+
+293
+00:28:12,270 --> 00:28:15,130
+ناقص اتنين يساوي Zero
+
+294
+00:28:18,010 --> 00:28:22,490
+متتالية الـ Fibonacci تنطبق على الصيغة هذه
+
+295
+00:28:22,490 --> 00:28:24,770
+وبالتالي ينطبق عليها ال solution هذه على طول
+
+296
+00:28:24,770 --> 00:28:32,530
+directly بدون أي تغيير لكن متتالية ال B اختلفت في
+
+297
+00:28:32,530 --> 00:28:42,840
+انها سابجة متتالية ال F ببخطوة بانصر فلذلك عشان
+
+298
+00:28:42,840 --> 00:28:46,880
+السبج هذا بس بقول ان ال P of N بيسوي F of N زي
+
+299
+00:28:46,880 --> 00:28:50,620
+الواحد وبالتالي بحكي هذا الكلام على القصة لان بقول
+
+300
+00:28:50,620 --> 00:28:55,860
+مرة اخرى انه طبعا هذا الكلام الآنالـ B مش هي هدفي،
+
+301
+00:28:55,860 --> 00:29:00,540
+هدفي الـ A فخلاص الـ A مش علاقتها بالـ B أنا أقل
+
+302
+00:29:00,540 --> 00:29:03,960
+منها بواحد خلاص هذا الآن هو عبارة عن ال solution
+
+303
+00:29:03,960 --> 00:29:08,040
+تبعي اللي أنا ببحث عنه اللي بيوصفلي عدد مرات تنفيذ
+
+304
+00:29:08,040 --> 00:29:10,300
+ال additions عدد مرات ال additions في هذه ال
+
+305
+00:29:10,300 --> 00:29:16,830
+algorithm okay الآنلما أفك هذه و أبسطها بيطلع واحد
+
+306
+00:29:16,830 --> 00:29:21,990
+على جذر الخمس ضرب في أُس N زائد واحد، مظبوط؟ وهنا
+
+307
+00:29:21,990 --> 00:29:25,870
+نفسه بننقص عليه هذا، صح؟ و في الآخر بقصه منه، كل
+
+308
+00:29:25,870 --> 00:29:30,130
+هذه ال terms مالهاش .. مالهاش أهمية، اللي هي أهمية
+
+309
+00:29:30,130 --> 00:29:33,190
+اللي هو ال term هذا اللي هو مرفوه أو ال term هذا
+
+310
+00:29:33,190 --> 00:29:37,870
+اللي هو مرفوه N إلى N زائد واحد N زائد واحد و N
+
+311
+00:29:37,870 --> 00:29:41,750
+نفس
+
+312
+00:29:41,750 --> 00:29:47,720
+ال complexityفا انا بقدر احكم على في النهاية ان ال
+
+313
+00:29:47,720 --> 00:29:55,540
+a of n is big ايش خبيتها انا big ايش theta ولا big
+
+314
+00:29:55,540 --> 00:30:00,520
+o theta لان ال algorithm ليهاش worst case و best
+
+315
+00:30:00,520 --> 00:30:08,020
+case صح كلها نفس ال case big theta of phi اص nالـ
+
+316
+00:30:08,020 --> 00:30:12,800
+Phi أو Phi .. الـ Phi و Phi Cab نفس الأشياء هما
+
+317
+00:30:12,800 --> 00:30:15,960
+two constants سواء بتاخد هذا و ليه بتاخد هذا
+
+318
+00:30:15,960 --> 00:30:20,360
+مافرجتش الفرق في وين فانا بعفرحهم لأُس إيش okay
+
+319
+00:30:20,360 --> 00:30:26,840
+فال complexity هي هيالان هذه بس الصيغة انه احنا لو
+
+320
+00:30:26,840 --> 00:30:30,220
+بدنا ننظر ل N على ان هو رقم يعني ال .. انا بدي
+
+321
+00:30:30,220 --> 00:30:34,840
+احسب الفبوناتش هي ال .. المتين المتين هذا هي ال N
+
+322
+00:30:34,840 --> 00:30:38,120
+لو انا بدنا ننظرلها بال binary ان هي عبارة عن
+
+323
+00:30:38,120 --> 00:30:41,940
+binary number متكون من عدد من ال bits عدد ال bits
+
+324
+00:30:41,940 --> 00:30:45,900
+هذا له small b خلاص بصيغ ال complexity على أساس ان
+
+325
+00:30:45,900 --> 00:30:52,560
+فاي بدل ما اقول في أس ن في أس اتنين أس بي لأنهن
+
+326
+00:30:52,560 --> 00:30:59,580
+تسوى و اتنين اص بي لما بتاخد عدد
+
+327
+00:30:59,580 --> 00:31:05,100
+ال bits اللي في n تسوى و اتنين اص بي هذه طاعة مش
+
+328
+00:31:05,100 --> 00:31:08,260
+بيه
+
+329
+00:31:08,260 --> 00:31:16,620
+شكلها زي الطاعة خلاص ماشي الحالة okay هذه
+
+330
+00:31:16,620 --> 00:31:22,460
+ال tree اللي حكينا عنها وهذه بعد هيكالـ other
+
+331
+00:31:22,460 --> 00:31:25,800
+solutions اللي كنا already ذكرناهم احنا في بداية
+
+332
+00:31:25,800 --> 00:31:30,940
+الحكاية ذكرناهم على أساس التضليل انه هي مش الوحيدة
+
+333
+00:31:30,940 --> 00:31:34,080
+مش ال solution الوحيد انه في غيرها و هدول غيرها
+
+334
+00:31:34,080 --> 00:31:40,580
+أحسن منها أحسن منها من ناحية ال performance هذه
+
+335
+00:31:40,580 --> 00:31:43,680
+الآن ال algorithm اللي هي عبارة عن ال non
+
+336
+00:31:43,680 --> 00:31:46,000
+recursive algorithm
+
+337
+00:31:51,110 --> 00:31:55,030
+و بتستخدم array ال F كابتنالها دي عبارة عن array و
+
+338
+00:31:55,030 --> 00:31:59,190
+احنا قولنا ان ال array هذه ممكن استغنى عنها ايضا و
+
+339
+00:31:59,190 --> 00:32:04,990
+بحتاج استغنى عنها اذا بنتعامل مع N كبيرة N بالالاف
+
+340
+00:32:04,990 --> 00:32:10,970
+او بالمئات ليش اعمل array قولها كذا مية متين اذا
+
+341
+00:32:10,970 --> 00:32:17,010
+كان انا معنى بس ب .. اللي هم العناصر الأخيرة منها
+
+342
+00:32:17,380 --> 00:32:20,820
+فانا ممكن استغني عن القرية كلها و احط بس تلاتة
+
+343
+00:32:20,820 --> 00:32:24,900
+variables variable اللي هو ايش ال f of n و
+
+344
+00:32:24,900 --> 00:32:27,800
+variable f of n نقص واحد و variable f of n نقص
+
+345
+00:32:27,800 --> 00:32:32,480
+اتنين و اراكمهم في ال loop هذه loop هتظلها ال loop
+
+346
+00:32:32,480 --> 00:32:35,740
+موجودة سواء استخدمت قرية ولا لا هتظلها موجودة بس
+
+347
+00:32:35,740 --> 00:32:39,160
+انا ممكن استغني اذا أنا بتعامل مع n كبيرة بتستغني
+
+348
+00:32:39,160 --> 00:32:46,610
+عن القريةهذه هي الفورميلة تبع الخيار الأخر الـ
+
+349
+00:32:46,610 --> 00:32:54,430
+explicit formula هي هذه اللي هي نفسها بس محذوف
+
+350
+00:32:54,430 --> 00:32:58,270
+منها يعني ان انت لما تدخلي هذا هنا و تدخليه هنا و
+
+351
+00:32:58,270 --> 00:33:01,030
+النقص محذوف منها هذا ال term و محذوف منها النقص
+
+352
+00:33:02,220 --> 00:33:08,880
+محذوف منها ليش؟ لأن هذا القيمة أولا فاي كاب هي
+
+353
+00:33:08,880 --> 00:33:16,640
+عبارة عن نقص واحد على فاي اللي هي من الآخر الرقم
+
+354
+00:33:16,640 --> 00:33:24,510
+هذاهو negative لما انا ارفع و صغير و اقل من واحد و
+
+355
+00:33:24,510 --> 00:33:27,630
+انا ارفع اص كذا و كذا و كذا تكبر ال .. بصغر هو ..
+
+356
+00:33:27,630 --> 00:33:33,030
+بصغر الناتج .. صح؟ فبصير تأثيره على المجموع ال ..
+
+357
+00:33:33,030 --> 00:33:38,460
+هذا موجب هذا .. المجموع الكلي ضئيلهكذا انا حتى
+
+358
+00:33:38,460 --> 00:33:41,540
+المجموع هذا عمله rounding لأن ال number فبوناتش
+
+359
+00:33:41,540 --> 00:33:45,780
+نمبر عبارة عن integer value وهذا بيطلع معاك الصور
+
+360
+00:33:45,780 --> 00:33:48,660
+فانا بعمل rounding و ال rounded value هذا هو ال
+
+361
+00:33:48,660 --> 00:33:53,740
+number فبوناتش نمبر فعمليا انا بقدر استغنى عن هذا
+
+362
+00:33:53,740 --> 00:33:58,960
+الشيء من ال formulaالمهم ان هذا يعني كيف لو انا
+
+363
+00:33:58,960 --> 00:34:02,540
+بدأ اعمل ال algorithm مبني على ال exact formula
+
+364
+00:34:02,540 --> 00:34:08,040
+هذه كل اللي بلزم انه اخد القيمة هذه و اضربها بعدد
+
+365
+00:34:08,040 --> 00:34:13,440
+n من المرات يعني اذا ال user بده او المطلوب هو ال
+
+366
+00:34:13,440 --> 00:34:18,140
+fibonacci تبع n بتساوي 100 معناته بدي اضرب ال phi
+
+367
+00:34:18,140 --> 00:34:24,570
+هذافى الواحد على .. او بدى اضرب الفاي فى واحد على
+
+368
+00:34:24,570 --> 00:34:28,670
+جدر الخمس و بعدين أسف بدى ارفع اقص مية و بعدين
+
+369
+00:34:28,670 --> 00:34:31,390
+اضربه فى واحد على جدر الخمس كل العملية .. كل
+
+370
+00:34:31,390 --> 00:34:34,450
+القضية ان عملية الضرب هي جديش بتكلف عملية الضرب
+
+371
+00:34:34,450 --> 00:34:39,290
+لان كسور جديش بتكلف بس هتبقى اقل من اللي هو ال
+
+372
+00:34:39,290 --> 00:34:43,910
+recursive خلاص وهذا اللي حكينا عنه برضه اللي هو
+
+373
+00:34:43,910 --> 00:34:48,900
+المصفوفات ان انا بمسك المصفوف و برفع اقص Nأه و
+
+374
+00:34:48,900 --> 00:34:53,560
+الناتج النهائي باخد اي .. باخد ال .. اي واحد من
+
+375
+00:34:53,560 --> 00:34:56,300
+العنصرين اللي قد داجوا انه الهدف خير ان شاء الله
+
+376
+00:34:56,300 --> 00:34:58,640
+هي كده اهنا بنكون خلاصت خمسة .. اتنين .. اتنين و
+
+377
+00:34:58,640 --> 00:35:01,700
+خمسة و المحاضرة بتجيب نبدأ في اول نوع من ال
+
+378
+00:35:01,700 --> 00:35:05,000
+algorithmات او الفصيلة اللي هي ال brute force
+
+379
+00:35:05,000 --> 00:35:07,740
+algorithms اللي هي ال algorithms اللي بتشتغل على
+
+380
+00:35:07,740 --> 00:35:11,780
+ال input بشكل blind يعني بدون استراتيجية .. بدون
+
+381
+00:35:11,780 --> 00:35:16,660
+استراتيجية اللي يبقى فيها الأداء .. ماشي الحل
+
+382
+00:35:16,660 --> 00:35:17,380
+يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..aea090a149d1451d36859832d5add16a8b615d2e
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/G0KIGIgL4Rs_raw.srt
@@ -0,0 +1,1548 @@
+1
+00:00:20,820 --> 00:00:23,020
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,020 --> 00:00:26,360
+المصريين اليوم إن شاء الله بنكمل كلام اللي كنا
+
+3
+00:00:26,360 --> 00:00:31,300
+بدناه في المحاضرة الماضية اللي هو computing ال nth
+
+4
+00:00:31,300 --> 00:00:35,580
+Fibonacci number وقولنا إنه المسألة دي مثلة حساب
+
+5
+00:00:35,580 --> 00:00:42,720
+قيمة ال Fibonacci number إلها عدة طرق هذه أربعة
+
+6
+00:00:42,720 --> 00:00:47,930
+ذكرنا منهم الأربعة دولة تلاتة التانية دولةذاكرناهم
+
+7
+00:00:47,930 --> 00:00:51,530
+وقلنا انهم افضل في ال performance من ال recursive
+
+8
+00:00:51,530 --> 00:00:54,650
+algorithm اللي احنا بدنا نحكي فيها طب ايش الهدف من
+
+9
+00:00:54,650 --> 00:00:58,430
+ان احنا نحكي فيه recursive algorithm فاشلة او اداء
+
+10
+00:00:58,430 --> 00:01:02,390
+سيء انه بس احنا الهدف في المرحلة دي اصلا تبعناها
+
+11
+00:01:02,390 --> 00:01:07,430
+هو تتعلم طريقة التحليل التحليل اللي هو ال running
+
+12
+00:01:07,430 --> 00:01:13,240
+time ماشي ف ..بدأ أروح على طول على هذه السلسلة
+
+13
+00:01:13,240 --> 00:01:19,520
+وصفنا زي هيك ووصفنا الـ Recurrence أو طريقة الحساب
+
+14
+00:01:19,520 --> 00:01:23,840
+تبعها أن هو عبارة عن أي عنصر عبارة عن مجموع
+
+15
+00:01:23,840 --> 00:01:28,420
+العنصرين اللي بيسبقوه وهذه هي ال algorithm صح هذه
+
+16
+00:01:28,420 --> 00:01:35,680
+هي ال recursive algorithm اللي بتحسب لأن
+
+17
+00:01:35,680 --> 00:01:38,540
+من شكل ال algorithm هذي إذا بتذكرنا كنا بنحكي عن
+
+18
+00:01:38,540 --> 00:01:43,820
+ال towers of Hanoi problemو ذكرنا letter E هاي
+
+19
+00:01:43,820 --> 00:01:48,760
+letter E تبع ال Towers of Hanoi صح؟ انه أول
+
+20
+00:01:48,760 --> 00:01:52,520
+استدعاء بترتب على استدعاء N كل واحد منهم بترتب على
+
+21
+00:01:52,520 --> 00:01:54,920
+استدعاء N كل واحد من هدول بترتب على استدعاء N هذه
+
+22
+00:01:54,920 --> 00:02:01,890
+letter E تمتد من N ل 1 يعني number of levelsو احنا
+
+23
+00:02:01,890 --> 00:02:08,490
+عرضناها على اساس انه من شكلها بنقدر ال running
+
+24
+00:02:08,490 --> 00:02:12,050
+time لان ال running time هو بمثابة عدد الاستدعاءات
+
+25
+00:02:12,050 --> 00:02:15,030
+و عدد الاستدعاءات هي عدد ال nodes لان كل node تمثل
+
+26
+00:02:15,030 --> 00:02:19,330
+استدعاء فالحسبة المباشرة لعدد ال nodes لمثل هذه ال
+
+27
+00:02:19,330 --> 00:02:25,050
+tree اللي هي binary tree طولها او ارتفاع يعني L ال
+
+28
+00:02:25,050 --> 00:02:31,080
+L بساوي Nهو عبارة عن two to the n minus one فكان
+
+29
+00:02:31,080 --> 00:02:37,500
+الهدف ان نقدر نقدر ال execution time لو احنا بدنا
+
+30
+00:02:37,500 --> 00:02:40,740
+نعمل مثل هذا لتري ل الفيبوناتش numbers ايش اللي
+
+31
+00:02:40,740 --> 00:02:47,460
+هيكون عندها اول استدعية لما انا بستدعي f على nالـ
+
+32
+00:02:47,460 --> 00:02:52,320
+Fibonacci number F of N بيساوي F of N ناقص واحد
+
+33
+00:02:52,320 --> 00:02:56,700
+زائد F of N ناقص اتنين يعني ال algorithm هتستدعي
+
+34
+00:02:56,700 --> 00:03:00,540
+نفسها مرتين زي هذه برضه هتستدعي نفسها مرتين صح ولا
+
+35
+00:03:00,540 --> 00:03:04,100
+لأ هتاخد ال output تبع هذه و ال output تبعها جلسة
+
+36
+00:03:04,100 --> 00:03:06,730
+ده و ال output تبعها جلسة ده و تجمعهم مع بعضفبقدر
+
+37
+00:03:06,730 --> 00:03:11,190
+انا اعمل ال tree شبيه بال .. بال tree هذه بس
+
+38
+00:03:11,190 --> 00:03:15,030
+هتختلف شوية صغيرة ان هاي الاستدعاء الاول N اترتب
+
+39
+00:03:15,030 --> 00:03:20,390
+عليه استدعاء ل N ناقص واحد و N ناقص اتنين صح؟ صح؟
+
+40
+00:03:20,390 --> 00:03:24,070
+هنا كان N ناقص واحد N ناقص واحد هذا التوازف هنوي
+
+41
+00:03:24,070 --> 00:03:28,870
+هذا الاستدعاء الان ايش بترتب عليه؟ ايش اللي جاب ال
+
+42
+00:03:28,870 --> 00:03:33,050
+N ناقص واحد؟ و التاني؟ اللي جاب ليه اللي جابها
+
+43
+00:03:33,050 --> 00:03:39,010
+يعني؟ ناقص ثلاثة هنا ايش؟إن ماقصة تلاتة إن ماقصة
+
+44
+00:03:39,010 --> 00:03:43,390
+أربعة بيستمر هذا الكلام خلّينا نشوف هذه الـ tree
+
+45
+00:03:43,390 --> 00:03:49,830
+جاهزة موجودة عندى هنا في ال slide ورا ورا هيئته بس
+
+46
+00:03:49,830 --> 00:03:53,130
+هو عاملها محدد إن ان بدأ تبدأ بخمسة
+
+47
+00:03:56,610 --> 00:04:02,450
+هي ترتب على f of 4 و f of 3 وهي نقص واحدة و نقص
+
+48
+00:04:02,450 --> 00:04:06,430
+اتنين و بيستمروا و هايلي تري هايلي تري كلها يعني
+
+49
+00:04:06,430 --> 00:04:10,890
+في الآخر هتعيل leaf no leaf calls أسلحت النهائية f
+
+50
+00:04:10,890 --> 00:04:15,230
+of zero f of one f of zero ماشي الآن ال tree صغيرة
+
+51
+00:04:15,230 --> 00:04:20,330
+صح بس ليش لأن الرقم fن بتساوي خمسة لو كبر ال n
+
+52
+00:04:20,330 --> 00:04:26,730
+يعني صار مية مثلا متين اكتر من هيك بتكبر بشكل اكبر
+
+53
+00:04:26,730 --> 00:04:32,210
+بكتير صح فيعني بنقدر نتخيل ان النمو تبع ال tree
+
+54
+00:04:32,210 --> 00:04:39,970
+هيبقى النمو exponential يعنيكل level اللي بعده
+
+55
+00:04:39,970 --> 00:04:47,230
+عبارة عن اقص اتنين اقص ال number الاساسي اللي هو n
+
+56
+00:04:47,230 --> 00:04:52,830
+فهي المشكلة الأساسية هنا اللي هي سرعة نمو ال tree
+
+57
+00:04:52,830 --> 00:04:57,650
+هذه ال notes اللي فيها هم يمثلوا الاستدعاءاتفكل ما
+
+58
+00:04:57,650 --> 00:05:01,250
+كترت ال notes يعني كترة الاستدعاءات يعني زاد الزمن
+
+59
+00:05:01,250 --> 00:05:07,370
+صح؟ فالمشكلة الأولى والمشكلة الأساسية هنا وليه مش
+
+60
+00:05:07,370 --> 00:05:11,130
+المشكلة الوحيدة هي النمو المشكلة التانية اذا روحتي
+
+61
+00:05:11,130 --> 00:05:16,690
+ان فيها استدعاءات مكررة يعني ال algorithm هي F of
+
+62
+00:05:16,690 --> 00:05:21,350
+2 وهي F of 2 وهي F of 2 هدول التلت استدعاءات على
+
+63
+00:05:21,350 --> 00:05:25,340
+نفس ال value و هيعملوا نفس الشغلالشغل هذا مكرر
+
+64
+00:05:25,340 --> 00:05:29,480
+مالوش لازم صح المفروض المرة واحدة نحسب ال F of two
+
+65
+00:05:29,480 --> 00:05:37,360
+و نستخدمها بعد هي كمان مات محتاجناهاوهذا يعني بواد
+
+66
+00:05:37,360 --> 00:05:39,880
+أخر لعدم ال efficiency أو سبب أخر لعدم ال
+
+67
+00:05:39,880 --> 00:05:44,120
+efficiency تبع ال algorithm بتذكروا ال ال non
+
+68
+00:05:44,120 --> 00:05:48,520
+recursive algorithm بتحسب على طول بتحسب ال f of n
+
+69
+00:05:48,520 --> 00:05:52,800
+و ال f of n نقص واحد و بتجمعهم أسف f of نقص واحد و
+
+70
+00:05:52,800 --> 00:05:56,930
+f of نقص اتنين و بتجمعهم علي f of nوبتكرر هذه
+
+71
+00:05:56,930 --> 00:06:00,790
+الكلام على ال array فما بتحسب ال value أكتر من مرة
+
+72
+00:06:00,790 --> 00:06:04,970
+هو مرة وبتراكم عليه اللي بعده انما هنا ال
+
+73
+00:06:04,970 --> 00:06:09,010
+algorithm تستدعي نفسها على نفس ال input أكتر من
+
+74
+00:06:09,010 --> 00:06:13,990
+مرة وهذا inefficient طيب ماشي الحل يوجه احنا بدنا
+
+75
+00:06:13,990 --> 00:06:18,990
+نرجع الآن يعني بعد ما شوفنا ال tree تبع تستدعيات
+
+76
+00:06:18,990 --> 00:06:23,570
+ال algorithm هذه نرجع تاني إلى اللي هو التحليل
+
+77
+00:06:23,570 --> 00:06:32,380
+تبعهاأول اشي قلنا هيات ال definition وهي
+
+78
+00:06:32,380 --> 00:06:38,400
+ال algorithm صح؟ هي ال algorithm انه اذا كانت ال N
+
+79
+00:06:38,400 --> 00:06:42,560
+أقل من او تسوى واحد return N فهذا الكلام بينطبق
+
+80
+00:06:42,560 --> 00:06:47,020
+على N Zero N بتسوى Zero و N بتسوى واحد اكبر من ال
+
+81
+00:06:47,020 --> 00:06:53,070
+واحد بنعمل استدعاءاتيبقى الآن ال basic operation
+
+82
+00:06:53,070 --> 00:06:57,030
+هي ال addition صح ال number of additions عدد
+
+83
+00:06:57,030 --> 00:07:00,990
+المرات هو يساوي عدد مرات ال additions اللي بدهم
+
+84
+00:07:00,990 --> 00:07:06,010
+يحصلوا في هذا الاستدعاء زائد عدد مرات ال additions
+
+85
+00:07:06,010 --> 00:07:11,110
+اللي بدهم يحصلوا في هذا الاستدعاء زائد ال addition
+
+86
+00:07:11,110 --> 00:07:16,000
+اللي بتحصلفي الاستدعاء الحالي احنا في استدعاء
+
+87
+00:07:16,000 --> 00:07:20,260
+ونعمل استدعاء ن فرعيات كده يكون الاستدعاء فرعي فيه
+
+88
+00:07:20,260 --> 00:07:25,240
+عملية addition بدنا نشوفهم ونضيف عليهم عملية الجمع
+
+89
+00:07:25,240 --> 00:07:30,020
+النهائي اللي هي بتحصل في الاستدعاء الحالي يبقى a
+
+90
+00:07:30,020 --> 00:07:36,400
+اللي هي number of additions بساوي ل n بساوي number
+
+91
+00:07:36,400 --> 00:07:40,080
+of additions ل n نقص واحدزاد number of additions
+
+92
+00:07:40,080 --> 00:07:48,020
+لان نقص نت زاد ال addition الحالية لما نكون n صفر
+
+93
+00:07:48,020 --> 00:07:51,280
+مافيش additions لما نكون n بساوي واحد مافيش
+
+94
+00:07:51,280 --> 00:07:57,680
+additions طيب الآن هذا هذا
+
+95
+00:07:57,680 --> 00:08:00,400
+ال recurrence اللي بدنا نشتغل عليها نعملها
+
+96
+00:08:00,400 --> 00:08:04,900
+analysis صح لان هنا
+
+97
+00:08:13,070 --> 00:08:17,450
+لو شيلت الواحد هذا أصبح أن أنا بقول عدد عمليات
+
+98
+00:08:17,450 --> 00:08:21,350
+الجامعة هي فقط عدد عمليات الجامعة اللي بدأ تم هنا
+
+99
+00:08:21,350 --> 00:08:26,830
+زائد عدد عمليات الجامعة اللي بدأ تم هنا وانسيت أنه
+
+100
+00:08:26,830 --> 00:08:30,610
+كل واحد من دول الصداقات في الآخر أنا النتشت بيبقى
+
+101
+00:08:30,610 --> 00:08:32,170
+هم هجمعه
+
+102
+00:08:36,980 --> 00:08:40,580
+هلو الـ plus هي عملية جملة بتتم بعد ما تم الجملة
+
+103
+00:08:40,580 --> 00:08:43,900
+اللى حصل هنا والجملة اللى حصل هنا هتم وراهم okay
+
+104
+00:08:43,900 --> 00:08:49,100
+فده هي الواحد اللي هي العملية تمام الان هذا ال
+
+105
+00:08:49,100 --> 00:08:51,780
+recurrence اللى هو a of n
+
+106
+00:09:08,060 --> 00:09:15,780
+بدي اصيغه كالتالي ده جيب ال terms على الشمال و
+
+107
+00:09:15,780 --> 00:09:25,160
+الواحدة اخليه برا okay
+
+108
+00:09:34,640 --> 00:09:40,860
+جاب الصيغة هادى الصيغة هادى احنا لما ن .. لما ن ..
+
+109
+00:09:40,860 --> 00:09:45,580
+عملنا ال towers of Hanoi اه ال towers of Hanoi
+
+110
+00:09:45,580 --> 00:09:51,500
+عملنا backward substitution كان عندي .. كان عندي M
+
+111
+00:09:51,500 --> 00:09:59,780
+of N بساوي اتنين M of N ناقص واحد زائد ايش واحد صح
+
+112
+00:09:59,780 --> 00:10:06,200
+اهو عملنا backward
+
+113
+00:10:06,200 --> 00:10:09,680
+substitution و حللناها هذه عادة لان عشان فيها two
+
+114
+00:10:09,680 --> 00:10:15,160
+terms هتغلبنا شوية ولكن برضه كمان في سبب اخر ان في
+
+115
+00:10:15,160 --> 00:10:20,260
+عندي انا حلول جاهزة ل recurrence شبيه بهذه ال
+
+116
+00:10:20,260 --> 00:10:23,320
+recurrence هذا هذا ال recurrence
+
+117
+00:10:26,620 --> 00:10:32,520
+شبيه بها دي عشان اخليه فعلا شبيه روحت انا زحط ال
+
+118
+00:10:32,520 --> 00:10:37,180
+terms ال a على شجة و ال واحدة شجة صار في الأول
+
+119
+00:10:37,180 --> 00:10:42,520
+كانت يساوي لما زحته هيك صار أكتر شبها بس بضلوا
+
+120
+00:10:42,520 --> 00:10:47,340
+الفرق ايه عشان في عندي zero و هنا one هناك في zero
+
+121
+00:10:47,340 --> 00:10:52,630
+و هنا oneالفرق التاني أنه في عندي يعني طبعا أن ال
+
+122
+00:10:52,630 --> 00:10:56,710
+a ال a ال a هي مقابل ال x ال x ده هي مقابل ال
+
+123
+00:10:56,710 --> 00:11:02,090
+function هي مقابل ال a اللي عندي هنا و بعدين في
+
+124
+00:11:02,090 --> 00:11:05,670
+فرق آخر فرق الأولاني كان أنه هنا في zero هنا في
+
+125
+00:11:05,670 --> 00:11:10,090
+one الفرق التاني أنه في عندي a و b و c هدولة
+
+126
+00:11:10,090 --> 00:11:15,150
+constants fixed real numbers وهدي مش مشكلة لأنه
+
+127
+00:11:15,150 --> 00:11:18,270
+أنا عمليا في الصيغة هذه بقدر اتخيل أن ال a بيسوي
+
+128
+00:11:18,270 --> 00:11:26,630
+واحدو ال B بساوي و ال C بساوي نقص لأن بالأصل
+
+129
+00:11:26,630 --> 00:11:30,330
+الصيغة فيها زائد ف .. صح؟ فمش خلاف هو بقوللي عادي
+
+130
+00:11:30,330 --> 00:11:36,050
+مش مشكلة طب إيش السفرية أنا .. لما أنا أتوجه ناحية
+
+131
+00:11:36,050 --> 00:11:41,330
+الصيغة هذه الصيغة هذه محلولة و خالصة يعني هنا ال X
+
+132
+00:11:41,330 --> 00:11:46,790
+of N على طوليعني بقدر اقول بما انه هذه الصيغة
+
+133
+00:11:46,790 --> 00:11:51,170
+الحال تبعها هيك يبقى الحال تبعها هذه a of n على
+
+134
+00:11:51,170 --> 00:11:57,650
+طول بساوي واحد على جدر الخمسة في فاي و سئن ناقص
+
+135
+00:11:57,650 --> 00:12:02,830
+طبعا ايش بتسألوني ايش فاي فاي و فاي كاب هي اتهم
+
+136
+00:12:02,830 --> 00:12:04,710
+هذه
+
+137
+00:12:06,920 --> 00:12:10,220
+باعتبار واحد زائد جزر الخمس على اتنين والتانية
+
+138
+00:12:10,220 --> 00:12:15,720
+مقلوبة بالناقص يعني ناقص واحدة على الفواية وهذه هي
+
+139
+00:12:15,720 --> 00:12:21,760
+ال constants خلاص بحطهم في ال formula و بحسب بمعنى
+
+140
+00:12:21,760 --> 00:12:26,920
+ايش ان انا ال recurs هذا تلقائيا معايا الحل تبعه
+
+141
+00:12:27,730 --> 00:12:31,150
+تذكروا دايما انه احنا بنبدأ بالـ Recurrence بروح
+
+142
+00:12:31,150 --> 00:12:35,010
+بنحل ال Recurrence ايش يعني نحل ال Recurrence يعني
+
+143
+00:12:35,010 --> 00:12:40,110
+نحصل على exact formula اللي تعطيني بالظبط كده عدد
+
+144
+00:12:40,110 --> 00:12:44,470
+مرات ال operation فهذا يعني ال Recurrence محلول
+
+145
+00:12:44,470 --> 00:12:49,610
+محلول هيته كل الإشكالية دلت اللي هي الواحد هذا
+
+146
+00:12:49,610 --> 00:12:54,210
+ماقدر اطبق ال Recurrence الحل هداعلى ال Recurrence
+
+147
+00:12:54,210 --> 00:12:57,630
+اللي معايا طول ما انه هنا في واحد و هناك في Zero
+
+148
+00:12:57,630 --> 00:13:02,930
+ال Zero هذا بوجوده بيجعل ان هذا ال Recurrence
+
+149
+00:13:02,930 --> 00:13:07,070
+بيسموه Homogeneous Second Order Linear Recurrence
+
+150
+00:13:07,070 --> 00:13:11,950
+ال واحد معناته ان الفرق ما بين ال generic term و
+
+151
+00:13:11,950 --> 00:13:17,960
+ال two terms اللي جابلههنا الفرق صفر لكن هنا الفرق
+
+152
+00:13:17,960 --> 00:13:21,760
+ما بين ال term و الدنيا اللى جابله غير صفر و هذا
+
+153
+00:13:21,760 --> 00:13:26,400
+بيعمل اختلاف بيخليها inhomogeneous فهذا الخلاف كيف
+
+154
+00:13:26,400 --> 00:13:31,220
+انا لان بدي اتعامل معاه بقدر اش اتحال عليه
+
+155
+00:13:31,220 --> 00:13:36,260
+بالطريقة التالية اللى هى انه انا بس واضحة واضحة
+
+156
+00:13:36,260 --> 00:13:41,060
+القضية هدفي لانأظبط الصيغة هذه بحيث تبقى مطابقة
+
+157
+00:13:41,060 --> 00:13:45,460
+للصيغة هذه عشان على طول أستخدم الحل تبعها زبطتها
+
+158
+00:13:45,460 --> 00:13:50,260
+نص الطريق بإني أنا حطيت ال terms على الشمال و تبقى
+
+159
+00:13:50,260 --> 00:13:54,660
+النص التاني أن أنا أتخلص من الواحد عشان أتخلص من
+
+160
+00:13:54,660 --> 00:13:59,620
+الواحد ماشي
+
+161
+00:13:59,620 --> 00:14:03,140
+الحال عشان أتخلص من الواحد واحد بدي
+
+162
+00:14:13,500 --> 00:14:18,980
+استخدم فункشن من عندي جابها من عندي هي عبارة عن a
+
+163
+00:14:18,980 --> 00:14:24,880
+of n بس h زائد واحد b of n هذا من عندي بيساوي a of
+
+164
+00:14:24,880 --> 00:14:28,620
+n زائد واحد الان
+
+165
+00:14:28,620 --> 00:14:33,480
+اذا b of n بيساوي a of n زائد واحد يبقى b of n نقص
+
+166
+00:14:33,480 --> 00:14:39,490
+واحد بيساوي a of n نقص واحد زائد واحدو B of N نقص
+
+167
+00:14:39,490 --> 00:14:45,170
+اتنين بيسوي A of N نقص اتنين زاد واحد تمام؟
+
+168
+00:14:45,170 --> 00:14:53,890
+وبالتالي ايضا كمان لو انا حطيت ال A of N على ناحية
+
+169
+00:14:53,890 --> 00:15:01,570
+بقدر اقول ال A of N بيسوي ال B of N نقص واحد صح؟ و
+
+170
+00:15:01,570 --> 00:15:08,470
+ال A of N نقص واحد بيسوي B of N نقص واحد نقص واحدو
+
+171
+00:15:08,470 --> 00:15:13,490
+ال a of n نقص اتنين ساوي ال b of n نقص اتنين نقص
+
+172
+00:15:13,490 --> 00:15:22,870
+واحد okay الان انا هذا ال function بدي احطها
+
+173
+00:15:22,870 --> 00:15:28,150
+استبدل ال a و ال a of n نقص واحد و ال a of n نقص
+
+174
+00:15:28,150 --> 00:15:34,630
+اتنين بال bees ايش أصبح عندى في هذا الصيرة بدي
+
+175
+00:15:34,630 --> 00:15:37,670
+استبدل ال a of n بناء على هذا الكلام ايش متساوي
+
+176
+00:15:39,620 --> 00:15:45,500
+Okay هاي ال B of N نقص واحد okay بتحطها في
+
+177
+00:15:45,500 --> 00:15:49,260
+brackets عشان نميزها عن ال two terms اللي بعدها ال
+
+178
+00:15:49,260 --> 00:15:59,940
+A of N نقص واحد B of N نقص واحد نقص واحد okay okay
+
+179
+00:16:12,000 --> 00:16:15,740
+لأ أنا مش هو هذا الهدف تبقى الهدف تبقى انه ايه لأ
+
+180
+00:16:15,740 --> 00:16:24,620
+ماشي okay صحيح ماشي
+
+181
+00:16:24,620 --> 00:16:35,660
+هو عمل الخطوة هذه في الأول طب
+
+182
+00:16:35,660 --> 00:16:43,250
+خلينا نكمل B of N ناقص اتنيننقص واحد اشهر ساوي
+
+183
+00:16:43,250 --> 00:16:52,550
+واحد طيب
+
+184
+00:16:52,550 --> 00:17:00,050
+صح
+
+185
+00:17:00,050 --> 00:17:04,450
+هيك تبقى معايا عشان انا يمكن اسهر في اشارة ولا
+
+186
+00:17:12,980 --> 00:17:18,820
+هذا ناقص او زائد؟ ناقص طيب
+
+187
+00:17:18,820 --> 00:17:24,720
+انا الان بدي اصفر بحط هنا صفر و بدى اتخلص من هدول
+
+188
+00:17:24,720 --> 00:17:29,300
+الواحدات عملية ان انا انا لو طرحت واحد من
+
+189
+00:17:29,300 --> 00:17:35,300
+الناحيتين هذا بصير صفر هذا بروح هذا بروح مظبوط بس
+
+190
+00:17:35,300 --> 00:17:39,740
+هذا بصير ناقص اتنين بروحش
+
+191
+00:17:43,280 --> 00:17:49,320
+نطرح واحد اه مانعش نطرح تلات واحدات مظبوط كلامك
+
+192
+00:17:49,320 --> 00:17:56,060
+لسه ب .. بيطلع اه بيطلع فيه مكرر اتنين اه بيروح بس
+
+193
+00:17:56,060 --> 00:18:00,940
+هذا و هذا و بيضل .. و بيضل هذا و بيضل هذا بيروحوا
+
+194
+00:18:00,940 --> 00:18:03,620
+مع بعض انتهت الجثة صح؟
+
+195
+00:18:08,980 --> 00:18:13,440
+الحين هذا احنا طرحنا واحد راح من هنا واحد وراح من
+
+196
+00:18:13,440 --> 00:18:20,340
+هنا واحد هذول اتنين بطيروا بعض مظبوط
+
+197
+00:18:20,340 --> 00:18:25,620
+هيك يبقى هذا هو الصيغة هي اللي انا بديها اللي هي
+
+198
+00:18:25,620 --> 00:18:32,880
+انه تلاتة terms الفرق ما بينه سا و صفر تمام؟
+
+199
+00:18:33,630 --> 00:18:37,590
+بديها بس مش بالظبط لإن أنا هنا جانب ال B أنا بديها
+
+200
+00:18:37,590 --> 00:18:43,470
+بال A بس خلينا نقول إنه بال B الآن ال B of N بناء
+
+201
+00:18:43,470 --> 00:18:48,730
+على ال solution هذا نعم
+
+202
+00:18:48,730 --> 00:18:52,150
+لأ
+
+203
+00:18:52,150 --> 00:18:57,730
+لأ بدي أجيب ال solution تبعها هذا مش أنا أصبح عندي
+
+204
+00:18:57,730 --> 00:19:03,920
+الصيغة هذه مطابقة للصيغة هذهيبقى ال solution تبقى
+
+205
+00:19:03,920 --> 00:19:08,060
+هذه بينطبق على هذه ال solution هي ان هو ايش P of N
+
+206
+00:19:08,060 --> 00:19:13,960
+بساوي واحد على جذر الخمسة في ايش في ن نقص في ن نقص
+
+207
+00:19:13,960 --> 00:19:23,500
+في ن نقص في ن تمام طيب طيب ال P of N ايش علاقتها
+
+208
+00:19:23,500 --> 00:19:29,600
+بال A of N ال A of N هي هذا نقص واحد يبقى خلاص ال
+
+209
+00:19:29,600 --> 00:19:40,700
+A of N بساوي هذانفسه نقص واحد كاب هذه in نقص واحد
+
+210
+00:19:40,700 --> 00:19:46,420
+كل هذا نزل و طرحت منه واحد صحيك؟
+
+211
+00:19:46,420 --> 00:19:53,060
+خلاص هذه الآن هي ال exact formula لعدد مرات ال
+
+212
+00:19:53,060 --> 00:19:53,440
+addition
+
+213
+00:20:01,940 --> 00:20:07,220
+بس في شغلة صغيرة بس بالضالة بس اول شي قبل الشغلة
+
+214
+00:20:07,220 --> 00:20:19,700
+الصغيرة هذا واضح الحين الشغلة
+
+215
+00:20:19,700 --> 00:20:23,760
+الصغيرة هي ان المتتالية هذه ال B
+
+216
+00:20:29,750 --> 00:20:36,690
+أحنا إيش قلنا ال A of N ال A of Zero Zero و ال A
+
+217
+00:20:36,690 --> 00:20:45,750
+of واحد واحد مش واحد Zero Zero Zero اه
+
+218
+00:20:45,750 --> 00:20:50,650
+صح صح صح أنا خلطت ما بين ال A و ال F ال F هي
+
+219
+00:20:50,650 --> 00:20:53,750
+متتالية ال number و ال A هي متتالية عدد مرات
+
+220
+00:20:53,750 --> 00:20:58,970
+الجمال تمام طيب إيش ال B of Zero
+
+221
+00:21:04,540 --> 00:21:13,560
+P of واحد P of
+
+222
+00:21:13,560 --> 00:21:14,880
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+223
+00:21:14,880 --> 00:21:15,020
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+224
+00:21:15,020 --> 00:21:15,120
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+225
+00:21:15,120 --> 00:21:15,180
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+226
+00:21:15,180 --> 00:21:15,280
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+227
+00:21:15,280 --> 00:21:15,280
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+228
+00:21:15,280 --> 00:21:15,420
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+229
+00:21:15,420 --> 00:21:15,580
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+230
+00:21:15,580 --> 00:21:15,920
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+231
+00:21:15,920 --> 00:21:18,360
+واحد P of واحد P of واحد P of واحد P of واحد P of
+
+232
+00:21:18,360 --> 00:21:31,520
+واحد P of واحد P of واحد P of واحد P of واحد
+
+233
+00:21:32,590 --> 00:21:40,190
+أول عنصرين في المتتالية هذه المتتالية ينطبق عليها
+
+234
+00:21:40,190 --> 00:21:52,550
+اللي هو نفس المتتالية تبع الفيبوناتشي هذه
+
+235
+00:21:52,550 --> 00:21:57,370
+المتتالية الصيغةتنطبق على الـ Fibonacci numbers
+
+236
+00:21:57,370 --> 00:21:59,670
+تسلسل الـ Fibonacci numbers خلّي بالكوا ان فيها
+
+237
+00:21:59,670 --> 00:22:03,730
+تلت متتاليات الان الـ Fibonacci numbers نفسها اللي
+
+238
+00:22:03,730 --> 00:22:12,990
+هي Zero واحد ايش اللي بعده واحد
+
+239
+00:22:12,990 --> 00:22:18,030
+نين الاخر
+
+240
+00:22:18,030 --> 00:22:24,510
+ماشي الان الـ A of N الـ A of N تبدأ بـ Zero Zero
+
+241
+00:22:27,470 --> 00:22:37,950
+بعدين اشي هادا؟ بعدين لأ بنضيف واحد عادى الآن a of
+
+242
+00:22:37,950 --> 00:22:42,190
+n للصفر
+
+243
+00:22:56,360 --> 00:23:05,600
+للصفر و للواحد صفر لكن بعد هيك ليش صفر؟ الـ A of N
+
+244
+00:23:05,600 --> 00:23:15,020
+هي واحد
+
+245
+00:23:15,020 --> 00:23:22,600
+زائد صفر زاد واحد صح؟
+
+246
+00:23:22,600 --> 00:23:25,140
+مظبوط
+
+247
+00:23:26,880 --> 00:23:29,340
+أنا بدي أكت انتبهي أنه أحيانا بنلخبط و احنا في ال
+
+248
+00:23:29,340 --> 00:23:33,460
+analysis F و A لأنهم كلهم of N و كلهم بيجوا N نقص
+
+249
+00:23:33,460 --> 00:23:38,280
+واحد نقص اتنين بنفكرهم نفس الاشي okay؟ هو مايوش
+
+250
+00:23:38,280 --> 00:23:43,360
+نفس الاشي عدد العمليات اللي بتتم لحساب الفبوناتش
+
+251
+00:23:43,360 --> 00:23:50,460
+تبع أي رتبة لا يساوي الفبوناتش نفسه اه؟ هي
+
+252
+00:23:50,460 --> 00:23:53,420
+الفبوناتش نفسها هي ال value بس ده لا يساوي عدد
+
+253
+00:23:53,420 --> 00:23:56,950
+مرات حساب .. العملية الجمل اللي لازمة لحسابههذا
+
+254
+00:23:56,950 --> 00:24:02,090
+ايش هنا 11 اتناشر
+
+255
+00:24:02,090 --> 00:24:07,530
+عملية جمل عشان اطلع ال تمانية هذه و هذا برضه مختلف
+
+256
+00:24:07,530 --> 00:24:17,890
+عن ال B بس اختلافها هذا بسيط بلا لا انه ايش ال
+
+257
+00:24:17,890 --> 00:24:22,890
+B of N صفر واحد و هنا واحد
+
+258
+00:24:25,490 --> 00:24:35,250
+طيب P of N P of N P of N P of N P of N P of N P of
+
+259
+00:24:35,250 --> 00:24:35,250
+N P of N P of N P of N P of N P of N P of N P of N
+
+260
+00:24:35,250 --> 00:24:35,250
+P of N P of N P of N P of N P of N P of N P of N P
+
+261
+00:24:35,250 --> 00:24:35,270
+of N P of N P of N P of N P of N P of N P of N P
+
+262
+00:24:35,270 --> 00:24:35,390
+of N P of N P of N P of N P of N P of N P of N P
+
+263
+00:24:35,390 --> 00:24:35,390
+of N P of N P of N P of N P of N P of N P of N P
+
+264
+00:24:35,390 --> 00:24:35,390
+of N P of N P of N P of N P of N P of N P of N P
+
+265
+00:24:35,390 --> 00:24:35,570
+of N P of N P of N P of N P of N P of N P of N P
+
+266
+00:24:35,570 --> 00:24:37,210
+of N P of N P of N P of N P of N P of N P of N P
+
+267
+00:24:37,210 --> 00:24:39,750
+of N P of N P of N P of N P of N P of N P of N P
+
+268
+00:24:39,750 --> 00:24:44,650
+of N P
+
+269
+00:24:44,650 --> 00:24:49,510
+of N P of N P
+
+270
+00:24:49,510 --> 00:24:56,460
+ofعشرين صح هتلاحظ ان هذا ماشي مع مين ال B of N
+
+271
+00:24:56,460 --> 00:25:01,300
+ماشي مع ال F of N بس سابجه بواحد سابجه ولا بتأخر
+
+272
+00:25:01,300 --> 00:25:08,080
+عنه سابجه لأنه بيجيبه قبل ما هذا كيصر يعني ال B of
+
+273
+00:25:08,080 --> 00:25:17,000
+خمسة بتساوي ال F of ستة صح ال B ال B of خمسة
+
+274
+00:25:17,000 --> 00:25:19,180
+بتساوي ال F of ستة
+
+275
+00:25:22,260 --> 00:25:31,380
+يبقى لها ال P of N بساوي ال F of N plus one صح؟
+
+276
+00:25:31,380 --> 00:25:37,860
+okay هذه ال solution بينطبق على المتتالي تبع ال
+
+277
+00:25:37,860 --> 00:25:44,120
+Fibonacci يبقى لما انا بدي استخدمه بدي اعمل حسابي
+
+278
+00:25:44,120 --> 00:25:52,250
+ان ال N تبعت ال Pأه ساب ده الانترنت الفيبوناتشي
+
+279
+00:25:52,250 --> 00:25:55,310
+فابد أحط plus one هنا و plus one هنا
+
+280
+00:26:19,260 --> 00:26:23,320
+واضحة بس هي التغيير
+
+281
+00:26:23,320 --> 00:26:28,560
+الطفيف اللي ايش طبعا هو في الآخر في ال complexity
+
+282
+00:26:28,560 --> 00:26:34,640
+النهائية هيطلع معايا الرقم هذا طبعا هنا برضه كمان
+
+283
+00:26:34,640 --> 00:26:43,000
+هه
+
+284
+00:26:43,000 --> 00:26:49,080
+بدي انا مخبط يعنى لأ هي ال a of n زائد واحداللي هو
+
+285
+00:26:49,080 --> 00:26:57,220
+هيتو ال B of N علاقتها بال A of N انه ايش ال A of
+
+286
+00:26:57,220 --> 00:27:03,920
+N كله ببقى فعلي واحد بس علاقتها بال F of N انه هي
+
+287
+00:27:03,920 --> 00:27:12,500
+ال F of N اللي بعده صح ولا هيتو هذا هنا ازايد واحد
+
+288
+00:27:12,500 --> 00:27:18,250
+في ال index في ال N جوا في ال Nبس بالنسبة للـ A 8
+
+289
+00:27:18,250 --> 00:27:24,730
+بالنسبة للـ A أكتر منها واحد بس 8 بالنسبة للـ F هي
+
+290
+00:27:24,730 --> 00:27:28,490
+الأنصار اللي جابله هي الأنصار اللي جابله في
+
+291
+00:27:28,490 --> 00:27:38,770
+السلسلة تمام؟ لذلك ننتبه أن الـ P of N عشان أسقط
+
+292
+00:27:38,770 --> 00:27:42,510
+عليها ال solution تبع الـ F هذا ال solution هيته
+
+293
+00:27:42,510 --> 00:27:50,770
+هذا ال solutionوهي هيته ال
+
+294
+00:27:50,770 --> 00:27:54,270
+X هذا تبع هذه المتتالية هذه المتتالية تبعت
+
+295
+00:27:54,270 --> 00:27:58,470
+الفيبوناتش ولا لأ لأن الفيبوناتش هو بالاصل ال F of
+
+296
+00:27:58,470 --> 00:28:04,690
+N بيساوي F of N ناقص واحد زائد F of N ناقص اتنين
+
+297
+00:28:04,690 --> 00:28:12,270
+وهذا يعني F of N ناقص F of N ناقص واحد ناقص F of N
+
+298
+00:28:12,270 --> 00:28:15,130
+ناقص اتنين يساوي Zero
+
+299
+00:28:18,010 --> 00:28:22,490
+متتالية الـ Fibonacci تنطبق على الصيغة هذه
+
+300
+00:28:22,490 --> 00:28:24,770
+وبالتالي ينطبق عليها ال solution هذه على طول
+
+301
+00:28:24,770 --> 00:28:32,530
+directly بدون أي تغيير لكن متتالية ال B اختلفت في
+
+302
+00:28:32,530 --> 00:28:42,840
+انها سابجة متتالية ال F ببخطوة بانصر فلذلك عشان
+
+303
+00:28:42,840 --> 00:28:46,880
+السبج هذا بس بقول ان ال P of N بيسوي F of N زي
+
+304
+00:28:46,880 --> 00:28:50,620
+الواحد وبالتالي بحكي هذا الكلام على القصة لان بقول
+
+305
+00:28:50,620 --> 00:28:55,860
+مرة اخرى انه طبعا هذا الكلام الآنالـ B مش هي هدفي،
+
+306
+00:28:55,860 --> 00:29:00,540
+هدفي الـ A فخلاص الـ A مش علاقتها بالـ B أنا أقل
+
+307
+00:29:00,540 --> 00:29:03,960
+منها بواحد خلاص هذا الآن هو عبارة عن ال solution
+
+308
+00:29:03,960 --> 00:29:08,040
+تبعي اللي أنا ببحث عنه اللي بيوصفلي عدد مرات تنفيذ
+
+309
+00:29:08,040 --> 00:29:10,300
+ال additions عدد مرات ال additions في هذه ال
+
+310
+00:29:10,300 --> 00:29:16,830
+algorithm okay الآنلما أفك هذه و أبسطها بيطلع واحد
+
+311
+00:29:16,830 --> 00:29:21,990
+على جذر الخمس ضرب في أُس N زائد واحد، مظبوط؟ وهنا
+
+312
+00:29:21,990 --> 00:29:25,870
+نفسه بننقص عليه هذا، صح؟ و في الآخر بقصه منه، كل
+
+313
+00:29:25,870 --> 00:29:30,130
+هذه ال terms مالهاش .. مالهاش أهمية، اللي هي أهمية
+
+314
+00:29:30,130 --> 00:29:33,190
+اللي هو ال term هذا اللي هو مرفوه أو ال term هذا
+
+315
+00:29:33,190 --> 00:29:37,870
+اللي هو مرفوه N إلى N زائد واحد N زائد واحد و N
+
+316
+00:29:37,870 --> 00:29:41,750
+نفس
+
+317
+00:29:41,750 --> 00:29:47,720
+ال complexityفا انا بقدر احكم على في النهاية ان ال
+
+318
+00:29:47,720 --> 00:29:55,540
+a of n is big ايش خبيتها انا big ايش theta ولا big
+
+319
+00:29:55,540 --> 00:30:00,520
+o theta لان ال algorithm ليهاش worst case و best
+
+320
+00:30:00,520 --> 00:30:08,020
+case صح كلها نفس ال case big theta of phi اص nالـ
+
+321
+00:30:08,020 --> 00:30:12,800
+Phi أو Phi .. الـ Phi و Phi Cab نفس الأشياء هما
+
+322
+00:30:12,800 --> 00:30:15,960
+two constants سواء بتاخد هذا و ليه بتاخد هذا
+
+323
+00:30:15,960 --> 00:30:20,360
+مافرجتش الفرق في وين فانا بعفرحهم لأُس إيش okay
+
+324
+00:30:20,360 --> 00:30:26,840
+فال complexity هي هيالان هذه بس الصيغة انه احنا لو
+
+325
+00:30:26,840 --> 00:30:30,220
+بدنا ننظر ل N على ان هو رقم يعني ال .. انا بدي
+
+326
+00:30:30,220 --> 00:30:34,840
+احسب الفبوناتش هي ال .. المتين المتين هذا هي ال N
+
+327
+00:30:34,840 --> 00:30:38,120
+لو انا بدنا ننظرلها بال binary ان هي عبارة عن
+
+328
+00:30:38,120 --> 00:30:41,940
+binary number متكون من عدد من ال bits عدد ال bits
+
+329
+00:30:41,940 --> 00:30:45,900
+هذا له small b خلاص بصيغ ال complexity على أساس ان
+
+330
+00:30:45,900 --> 00:30:52,560
+فاي بدل ما اقول في أس ن في أس اتنين أس بي لأنهن
+
+331
+00:30:52,560 --> 00:30:59,580
+تسوى و اتنين اص بي لما بتاخد عدد
+
+332
+00:30:59,580 --> 00:31:05,100
+ال bits اللي في n تسوى و اتنين اص بي هذه طاعة مش
+
+333
+00:31:05,100 --> 00:31:08,260
+بيه
+
+334
+00:31:08,260 --> 00:31:16,620
+شكلها زي الطاعة خلاص ماشي الحالة okay هذه
+
+335
+00:31:16,620 --> 00:31:22,460
+ال tree اللي حكينا عنها وهذه بعد هيكالـ other
+
+336
+00:31:22,460 --> 00:31:25,800
+solutions اللي كنا already ذكرناهم احنا في بداية
+
+337
+00:31:25,800 --> 00:31:30,940
+الحكاية ذكرناهم على أساس التضليل انه هي مش الوحيدة
+
+338
+00:31:30,940 --> 00:31:34,080
+مش ال solution الوحيد انه في غيرها و هدول غيرها
+
+339
+00:31:34,080 --> 00:31:40,580
+أحسن منها أحسن منها من ناحية ال performance هذه
+
+340
+00:31:40,580 --> 00:31:43,680
+الآن ال algorithm اللي هي عبارة عن ال non
+
+341
+00:31:43,680 --> 00:31:46,000
+recursive algorithm
+
+342
+00:31:51,110 --> 00:31:55,030
+و بتستخدم array ال F كابتنالها دي عبارة عن array و
+
+343
+00:31:55,030 --> 00:31:59,190
+احنا قولنا ان ال array هذه ممكن استغنى عنها ايضا و
+
+344
+00:31:59,190 --> 00:32:04,990
+بحتاج استغنى عنها اذا بنتعامل مع N كبيرة N بالالاف
+
+345
+00:32:04,990 --> 00:32:10,970
+او بالمئات ليش اعمل array قولها كذا مية متين اذا
+
+346
+00:32:10,970 --> 00:32:17,010
+كان انا معنى بس ب .. اللي هم العناصر الأخيرة منها
+
+347
+00:32:17,380 --> 00:32:20,820
+فانا ممكن استغني عن القرية كلها و احط بس تلاتة
+
+348
+00:32:20,820 --> 00:32:24,900
+variables variable اللي هو ايش ال f of n و
+
+349
+00:32:24,900 --> 00:32:27,800
+variable f of n نقص واحد و variable f of n نقص
+
+350
+00:32:27,800 --> 00:32:32,480
+اتنين و اراكمهم في ال loop هذه loop هتظلها ال loop
+
+351
+00:32:32,480 --> 00:32:35,740
+موجودة سواء استخدمت قرية ولا لا هتظلها موجودة بس
+
+352
+00:32:35,740 --> 00:32:39,160
+انا ممكن استغني اذا أنا بتعامل مع n كبيرة بتستغني
+
+353
+00:32:39,160 --> 00:32:46,610
+عن القريةهذه هي الفورميلة تبع الخيار الأخر الـ
+
+354
+00:32:46,610 --> 00:32:54,430
+explicit formula هي هذه اللي هي نفسها بس محذوف
+
+355
+00:32:54,430 --> 00:32:58,270
+منها يعني ان انت لما تدخلي هذا هنا و تدخليه هنا و
+
+356
+00:32:58,270 --> 00:33:01,030
+النقص محذوف منها هذا ال term و محذوف منها النقص
+
+357
+00:33:02,220 --> 00:33:08,880
+محذوف منها ليش؟ لأن هذا القيمة أولا فاي كاب هي
+
+358
+00:33:08,880 --> 00:33:16,640
+عبارة عن نقص واحد على فاي اللي هي من الآخر الرقم
+
+359
+00:33:16,640 --> 00:33:24,510
+هذاهو negative لما انا ارفع و صغير و اقل من واحد و
+
+360
+00:33:24,510 --> 00:33:27,630
+انا ارفع اص كذا و كذا و كذا تكبر ال .. بصغر هو ..
+
+361
+00:33:27,630 --> 00:33:33,030
+بصغر الناتج .. صح؟ فبصير تأثيره على المجموع ال ..
+
+362
+00:33:33,030 --> 00:33:38,460
+هذا موجب هذا .. المجموع الكلي ضئيلهكذا انا حتى
+
+363
+00:33:38,460 --> 00:33:41,540
+المجموع هذا عمله rounding لأن ال number فبوناتش
+
+364
+00:33:41,540 --> 00:33:45,780
+نمبر عبارة عن integer value وهذا بيطلع معاك الصور
+
+365
+00:33:45,780 --> 00:33:48,660
+فانا بعمل rounding و ال rounded value هذا هو ال
+
+366
+00:33:48,660 --> 00:33:53,740
+number فبوناتش نمبر فعمليا انا بقدر استغنى عن هذا
+
+367
+00:33:53,740 --> 00:33:58,960
+الشيء من ال formulaالمهم ان هذا يعني كيف لو انا
+
+368
+00:33:58,960 --> 00:34:02,540
+بدأ اعمل ال algorithm مبني على ال exact formula
+
+369
+00:34:02,540 --> 00:34:08,040
+هذه كل اللي بلزم انه اخد القيمة هذه و اضربها بعدد
+
+370
+00:34:08,040 --> 00:34:13,440
+n من المرات يعني اذا ال user بده او المطلوب هو ال
+
+371
+00:34:13,440 --> 00:34:18,140
+fibonacci تبع n بتساوي 100 معناته بدي اضرب ال phi
+
+372
+00:34:18,140 --> 00:34:24,570
+هذافى الواحد على .. او بدى اضرب الفاي فى واحد على
+
+373
+00:34:24,570 --> 00:34:28,670
+جدر الخمس و بعدين أسف بدى ارفع اقص مية و بعدين
+
+374
+00:34:28,670 --> 00:34:31,390
+اضربه فى واحد على جدر الخمس كل العملية .. كل
+
+375
+00:34:31,390 --> 00:34:34,450
+القضية ان عملية الضرب هي جديش بتكلف عملية الضرب
+
+376
+00:34:34,450 --> 00:34:39,290
+لان كسور جديش بتكلف بس هتبقى اقل من اللي هو ال
+
+377
+00:34:39,290 --> 00:34:43,910
+recursive خلاص وهذا اللي حكينا عنه برضه اللي هو
+
+378
+00:34:43,910 --> 00:34:48,900
+المصفوفات ان انا بمسك المصفوف و برفع اقص Nأه و
+
+379
+00:34:48,900 --> 00:34:53,560
+الناتج النهائي باخد اي .. باخد ال .. اي واحد من
+
+380
+00:34:53,560 --> 00:34:56,300
+العنصرين اللي قد داجوا انه الهدف خير ان شاء الله
+
+381
+00:34:56,300 --> 00:34:58,640
+هي كده اهنا بنكون خلاصت خمسة .. اتنين .. اتنين و
+
+382
+00:34:58,640 --> 00:35:01,700
+خمسة و المحاضرة بتجيب نبدأ في اول نوع من ال
+
+383
+00:35:01,700 --> 00:35:05,000
+algorithmات او الفصيلة اللي هي ال brute force
+
+384
+00:35:05,000 --> 00:35:07,740
+algorithms اللي هي ال algorithms اللي بتشتغل على
+
+385
+00:35:07,740 --> 00:35:11,780
+ال input بشكل blind يعني بدون استراتيجية .. بدون
+
+386
+00:35:11,780 --> 00:35:16,660
+استراتيجية اللي يبقى فيها الأداء .. ماشي الحل
+
+387
+00:35:16,660 --> 00:35:17,380
+يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9fe93cf2979db709f4b26d02f10fd33c9e51d8fc
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8.srt
@@ -0,0 +1,1334 @@
+1
+00:00:20,890 --> 00:00:23,570
+بسم الله الرحمن الرحيم الصلاة والسلام على
+
+2
+00:00:23,570 --> 00:00:26,770
+أشرف المرسلين، اليوم إن شاء الله بدنا نكمل في موضوع
+
+3
+00:00:26,770 --> 00:00:29,250
+الـ decrease and conquer، بس بدنا ننتقل إلى الـ
+
+4
+00:00:29,250 --> 00:00:31,890
+decrease by a constant factor في الـ constant
+
+5
+00:00:31,890 --> 00:00:37,370
+factor، هنا الـ problem size بيتخفض بمقدار ثابت
+
+6
+00:00:37,370 --> 00:00:42,610
+بمقدار النص أو الثلث في كل round أو في كل
+
+7
+00:00:42,610 --> 00:00:47,280
+دورة من دورات الـ algorithm، وبعد ذلك بنطلع على
+
+8
+00:00:47,280 --> 00:00:49,460
+المحاضرة الجاية إن شاء الله بنطلع على الـ variable
+
+9
+00:00:49,460 --> 00:00:51,940
+size decrease اللي هو decreasing by variable size
+
+10
+00:00:51,940 --> 00:00:56,060
+كل مرة بتختلف عن المرة اللي قبلها، طيب في عندنا هنا
+
+11
+00:00:56,060 --> 00:01:03,720
+في الـ decrease by constant factor في عدة problems
+
+12
+00:01:03,720 --> 00:01:07,500
+بنتطلع عليهم ونشوف كيف بتتم التعامل معاهم بهذا
+
+13
+00:01:07,500 --> 00:01:11,900
+الأسلوب، أسلوب الـ decrease by a constant factor في
+
+14
+00:01:11,900 --> 00:01:17,180
+عندنا الـ Binary Search Problem، وفي الـ
+
+15
+00:01:17,180 --> 00:01:21,700
+Exponentiation by Squaring، وفي الـ Russian Peasant
+
+16
+00:01:21,700 --> 00:01:25,320
+Method، وفي الـ Fake Coin Puzzle، وJosephus Problem
+
+17
+00:01:25,320 --> 00:01:31,000
+بنطلع عليهم، ربما ما نلحقش الأخيرة، دي مش قضية، المهم
+
+18
+00:01:31,000 --> 00:01:35,200
+هم أمثلة كافية يعني لتوضيح الفكرة والتعرف على
+
+19
+00:01:35,200 --> 00:01:39,780
+كفاءة الـ algorithms اللي بتشغل بهذه الطريقة، الـ
+
+20
+00:01:39,780 --> 00:01:42,600
+binary search، نبدأ فيهم من الأولى، الـ binary search
+
+21
+00:01:45,110 --> 00:01:48,670
+إذا بتاع… إذا حد بيعرفها أو بيعرفش مش… مش
+
+22
+00:01:48,670 --> 00:01:52,430
+قضية، المهم إنه هي ببساطة، أولاً بتعتمد على وجود الـ
+
+23
+00:01:52,430 --> 00:01:55,390
+… الـ array تكون sorted، احنا search بمعنى عندي
+
+24
+00:01:55,390 --> 00:01:59,170
+value، بقولي مثلاً الـ 70 بدي أبحث عنه في الـ
+
+25
+00:01:59,170 --> 00:02:02,190
+array، الـ array هذه إذا بدي أشتغل الـ binary search
+
+26
+00:02:02,190 --> 00:02:06,850
+لازم تكون الـ array هذه sorted، الـ 70 هنا موجود، هيته
+
+27
+00:02:06,850 --> 00:02:11,890
+كيف الـ binary search بتشتغل؟ بإنه احنا بننظر إلى الـ
+
+28
+00:02:11,890 --> 00:02:15,950
+array كلها في الأول، بعدها ننظر إلى نص منها، وبعدها
+
+29
+00:02:15,950 --> 00:02:17,170
+نص ونص ونص ونص ونص ونص ونص ونص ونص ونص و
+
+30
+00:02:17,170 --> 00:02:18,890
+نص ونص ونص ونص ونص ونص ونص ونص ونص ونص و
+
+31
+00:02:18,890 --> 00:02:21,570
+نص ونص ونص ونص ونص ونص ونص ونص ونص ونص و
+
+32
+00:02:21,570 --> 00:02:26,030
+نص ونص ونص ونص ونص ونص ونص ونص ونص ونص و
+
+33
+00:02:26,030 --> 00:02:27,250
+نص ونص ونص ونص ونص ونص ونص ونص ونص ونص و
+
+34
+00:02:27,250 --> 00:02:35,700
+نص ونص ونص ونص ونص ونص ونص ونص ونص ونص و
+
+35
+00:02:35,700 --> 00:02:42,300
+الوسط M، بنقارن الـ value اللي معانا K بيه، الـ value
+
+36
+00:02:42,300 --> 00:02:47,200
+اللي بتشاور عليه M، إذا والله هو خلصناه، إذا هذا هو
+
+37
+00:02:47,200 --> 00:02:53,400
+77، خلصناه، لجينا انتهينا، مش هو، بنشوف هل المعانا
+
+38
+00:02:53,400 --> 00:02:58,000
+أكبر منه ولا أصغر منه، على أساس إنها sorted، إذا
+
+39
+00:02:58,000 --> 00:03:04,440
+اللي معانا K أكبر، يبقى موجود في النص اللي بعده، إذا اللي
+
+40
+00:03:04,440 --> 00:03:07,980
+معانا أصغر، يبقى موجود في النص اللي قبل، فهنا في
+
+41
+00:03:07,980 --> 00:03:12,520
+الحالة اللي أمامنا، موجود في النص، الـ value هذا اللي
+
+42
+00:03:12,520 --> 00:03:16,140
+بيشار عليه M أصغر من اللي معانا، فيبقى اللي معانا
+
+43
+00:03:16,140 --> 00:03:19,280
+بعيد، فالآن إيش اللي بيحصل؟ أن الـ algorithm بتروح و
+
+44
+00:03:19,280 --> 00:03:25,620
+بتحرك الـ L والـ R، هدول دايماً بيتحركوا، بيتحركوا على
+
+45
+00:03:25,620 --> 00:03:29,740
+حسب إنه احنا هنتقل إلى نص هذا ولا نص هذا، فلأنه
+
+46
+00:03:29,740 --> 00:03:34,120
+احنا هنتقل إلى نص هذا، يبقى الـ L ده تتحرك، والـ R
+
+47
+00:03:34,120 --> 00:03:37,740
+بتبقى زي ما هي، الـ L بتتحرك لوين؟ لـ على طول
+
+48
+00:03:37,740 --> 00:03:40,600
+الـ element اللي بعد الـ M مباشرةً، اللي هو M زائد
+
+49
+00:03:40,600 --> 00:03:44,120
+واحد، هذا الآن بيحصل، يعني هذا الـ iteration الأولى،
+
+50
+00:03:44,120 --> 00:03:47,610
+صح؟ وهذا الـ iteration الثانية، وبعدها الـ
+
+51
+00:03:47,610 --> 00:03:51,390
+iteration الثالثة، لأن لما الـ… صارت هنا أرض زي ما
+
+52
+00:03:51,390 --> 00:03:56,990
+هي ماشي، ماغيرناش، الآن وين الوسط؟ تبقى هذه الآن صارت
+
+53
+00:03:56,990 --> 00:03:59,950
+هي الـ array الجديد، خلاص هذا خلص، هذا ولا… ولا
+
+54
+00:03:59,950 --> 00:04:02,910
+بندور فيه، إشي هذه الآن صارت الـ array الجديد، هذا
+
+55
+00:04:02,910 --> 00:04:06,590
+الـ problem الجديد أو الـ size الجديد، في الأول كان n
+
+56
+00:04:06,590 --> 00:04:12,020
+بـ… جديش، هدول أظن تلتاش، اتناش، الآن صارت من هنا
+
+57
+00:04:12,020 --> 00:04:18,040
+لهنا تلتاش، كانوا، الآن صاروا ستة، اللي هو من هنا
+
+58
+00:04:18,040 --> 00:04:25,160
+لـ اتناش، مظبوط، الوسط فيهم اللي هو هذا، طبعاً الوسط
+
+59
+00:04:25,160 --> 00:04:33,940
+كيف بنحسبه؟ اللي هو عبارة عن L زائد R على اتنين، و
+
+60
+00:04:33,940 --> 00:04:38,930
+بناخد الـ floor تبعها، صح؟ يعني عندي أنا في الأول L
+
+61
+00:04:38,930 --> 00:04:43,050
+كانت بتساوي Zero، وR كانت بتساوي إيش؟ N ناقص واحد،
+
+62
+00:04:43,050 --> 00:04:47,630
+لإن الـ count، الـ index بيبدأ بـ Zero، إن أنا جديش
+
+63
+00:04:47,630 --> 00:04:52,910
+بقول لك، إنتوا تلتاش، وين؟
+
+64
+00:04:52,910 --> 00:04:58,170
+مكتوب تمام، تلتاش، يعني N ناقص واحد بتساوي اتناش، لإن
+
+65
+00:04:58,170 --> 00:05:04,000
+اتناش، زي الـ Zero، اتناش على اتنين، 6، فـ 6 AM هي 6، صح؟
+
+66
+00:05:04,000 --> 00:05:11,000
+لأن لما اتحركت الـ L، صارت جديش؟ الـ L 7، 7، والـ R زي
+
+67
+00:05:11,000 --> 00:05:18,980
+ما هي، مظبوط، الـ
+
+68
+00:05:18,980 --> 00:05:21,840
+floor بتبقى سبعة أو ثمانية، مظبوط؟ يبقى في الـ
+
+69
+00:05:21,840 --> 00:05:30,820
+iteration الجديدة، تسعة، آسف، تسعة، تسعة عشر… آه، تسعة، و
+
+70
+00:05:30,820 --> 00:05:38,140
+نص، فالآن الـ M بتشير على العنصر رقم تسعة، و
+
+71
+00:05:38,140 --> 00:05:44,860
+ده، ولايك… خليني أطلع على بعض… هيك طلعنا، احنا هنقارن
+
+72
+00:05:44,860 --> 00:05:47,520
+مع مين؟ مع الـ M، الـ M، واحد ثمانين، أكبر من اللي معانا،
+
+73
+00:05:47,520 --> 00:05:51,380
+يبقى بدنا نرجع رجوع على النص الجاي، النص الجاي
+
+74
+00:05:51,380 --> 00:05:55,680
+بيبدأ من عند L، زي ما هي، R الآن هي اللي بدأت تتحرك
+
+75
+00:05:55,680 --> 00:05:57,620
+إلى مين؟ M ناقص واحد،
+
+76
+00:06:03,360 --> 00:06:13,260
+ماذا يساوي M؟ إذا L سبعة، وR ثمانية، على اتنين،
+
+77
+00:06:13,260 --> 00:06:19,880
+خمسة عشر على اتنين، سبعة ونص، الـ floor تبعهم
+
+78
+00:06:19,880 --> 00:06:26,920
+سبعة، تمام، سبعة هي الـ left وهي الـ middle،
+
+79
+00:06:28,950 --> 00:06:33,250
+خلاص، هنروح على الـ middle، هنلاقي هو الـ 70، هنطلعه،
+
+80
+00:06:33,250 --> 00:06:38,790
+يبقى التلاتة iterations، الـ array طولها 13، لو بدنا
+
+81
+00:06:38,790 --> 00:06:43,050
+نبحث فيها sequential، هنلف واحد اتنين، هنلف ممكن
+
+82
+00:06:43,050 --> 00:06:49,490
+تسع لفات أو سبع ثمان لفات، لكن اختصرنا هذا الرقم
+
+83
+00:06:49,490 --> 00:06:53,890
+إلى تلاتة، التلاتة هذه هي عبارة عن الـ log أو الـ
+
+84
+00:06:53,890 --> 00:06:58,690
+floor تبع الـ log تبع الـ N، الـ N اللي هو الـ… الـ
+
+85
+00:06:58,690 --> 00:07:04,370
+original problem size اللي هو 13، هذا الكلام أنا
+
+86
+00:07:04,370 --> 00:07:09,630
+قلته من غير ما أعمل analysis ولا أعمل حساب لعدد
+
+87
+00:07:09,630 --> 00:07:13,650
+ليش؟ لأن معرفتنا السابقة بكل الـ problems اللي الـ
+
+88
+00:07:13,650 --> 00:07:17,330
+… الـ… الـ size تبع الـ problem بيتناقص مع كل دورة
+
+89
+00:07:17,330 --> 00:07:22,360
+من دورات الـ algorithm بيتناقص بمقدار نص، آه، إن الـ
+
+90
+00:07:22,360 --> 00:07:28,520
+complexity تبعتها log الـ N، log base 2 للـ N، هي الـ
+
+91
+00:07:28,520 --> 00:07:31,720
+algorithm، هنا الـ algorithm زي ما أنتم شايفين أو
+
+92
+00:07:31,720 --> 00:07:37,320
+حكينا إنه
+
+93
+00:07:37,320 --> 00:07:43,940
+في البداية الـ L والـ R بنضبطهم على البداية و
+
+94
+00:07:43,940 --> 00:07:48,670
+النهاية تبعت الـ array، Okay، while الـ L less than…
+
+95
+00:07:48,670 --> 00:07:53,350
+خليني بس نجرب على الـ slide هادي، أوضح شوية ال… و
+
+96
+00:07:53,350 --> 00:08:01,090
+اللي هاديك أوضح، الـ Zero، وR بتساوي N ناقص واحد، الـ N
+
+97
+00:08:01,090 --> 00:08:07,770
+في كل دورة نحسب الـ M عبارة عن L زائد R على اتنين،
+
+98
+00:08:07,770 --> 00:08:13,770
+الـ floor تبعها، وبنروح بنقارن، إذا يساوي… إذا الـ
+
+99
+00:08:13,770 --> 00:08:17,590
+K يساوي العنصر اللي موجودة على الـ M، بنخلص، بنطلع، و
+
+100
+00:08:17,590 --> 00:08:22,650
+بنرجع، الـ M، وإلا إذا
+
+101
+00:08:22,650 --> 00:08:28,050
+أقل، إذا K أقل، يبقى بنروح على نص الأولاني، عشان نروح
+
+102
+00:08:28,050 --> 00:08:34,910
+على نص الأولاني، بنرجع الـ R لـ M ناقص واحد، وإلا إذا
+
+103
+00:08:34,910 --> 00:08:38,170
+مش أقل، يعني أكبر، خلّي بالك إنه عندي أنا هنا
+
+104
+00:08:38,170 --> 00:08:44,610
+comparison، comparison في ثلاث شعب، صح؟ يساوي، أقل من، و
+
+105
+00:08:44,610 --> 00:08:50,490
+أكبر من، واحدة من الثلاث شعب هدول، فهي عملية
+
+106
+00:08:50,490 --> 00:08:53,330
+مقارنة واحدة بنعتبرها، وهي الـ basic operation،
+
+107
+00:08:53,330 --> 00:08:57,230
+مظبوط، وبتتكرر في داخل اللوب، هذا اللوب هذا، بيستمر
+
+108
+00:08:57,230 --> 00:09:02,110
+لغاية ما الـ L والـ R، الـ L والـ R بيقتربوا من بعض
+
+109
+00:09:02,110 --> 00:09:06,470
+تدريجياً، صح؟ هذه مرة مرة بتقدم لقدام، ومرة هذيك
+
+110
+00:09:06,470 --> 00:09:14,850
+بترجع، مظبوط؟ فبعد ذلك بيتلاقوا، إذا اتلاقوا، خلاص هذه
+
+111
+00:09:14,850 --> 00:09:20,090
+آخر iteration، إذا واحد منهم صارت أكبر من ال…
+
+112
+00:09:20,090 --> 00:09:22,490
+يعني الـ L صارت أكبر من الـ R، أو الـ R صار أصغر من الـ
+
+113
+00:09:22,490 --> 00:09:26,830
+L، معناته دي النهاية في الـ loop، فإذا وصلنا لهذا
+
+114
+00:09:26,830 --> 00:09:30,290
+النقطة، والـ M ما كانش يساوي الـ K، يبقى الـ K مش موجود،
+
+115
+00:09:30,290 --> 00:09:33,790
+اللي إحنا بنبحث عنه، إذا وصلنا لنهاية عملية الـ
+
+116
+00:09:33,790 --> 00:09:37,280
+search، واللي إحنا بنبحث عنه مش موجود، يبقى return
+
+117
+00:09:37,280 --> 00:09:43,000
+ناقص واحد، بمعنى إنه مش موجود، بالنسبة
+
+118
+00:09:43,000 --> 00:09:47,300
+للـ complexity، فيه إننا بنطلع على هل في worst case
+
+119
+00:09:47,300 --> 00:09:50,440
+و best case ولا لأ، أكيد في worst case، الـ worst
+
+120
+00:09:50,440 --> 00:09:55,980
+case اللي هي إنه ما نلاقيش الـ key أو نلاقيه في آخر
+
+121
+00:09:55,980 --> 00:10:03,080
+iteration، اللي هو لما يلتقي الـ L والـ R، الـ best
+
+122
+00:10:03,080 --> 00:10:07,530
+case إنه نلاقيه من البداية على أول M، الآن الـ worst
+
+123
+00:10:07,530 --> 00:10:10,790
+case، عدد مرات التنفيذ، سبعة في الـ worst case،
+
+124
+00:10:10,790 --> 00:10:14,970
+بالمعنى إنه إحنا بدنا نستنفذ كل ال… كل الـ
+
+125
+00:10:14,970 --> 00:10:19,950
+iterations، في هذه الحالة بيكون إيش الـ number of
+
+126
+00:10:19,950 --> 00:10:24,190
+comparisons؟ هنا الـ C نقصد فيها الـ comparisons في
+
+127
+00:10:24,190 --> 00:10:30,550
+الـ worst case، بتساوي الـ comparisons لنص الـ N، لأن
+
+128
+00:10:30,550 --> 00:10:31,370
+إحنا زي ما قلنا
+
+129
+00:10:34,260 --> 00:10:40,760
+كل iteration بتشتغل على النص اللي قبلها، نص الـ
+
+130
+00:10:40,760 --> 00:10:47,700
+calculations اللي هتم على النص، زائد الـ comparison
+
+131
+00:10:47,700 --> 00:10:53,420
+اللي عملناها في الأول، اللي أول comparison عملناها، حسبنا
+
+132
+00:10:53,420 --> 00:10:58,100
+حسبنا الـ M، وقررناه، ما جيناهوش، وروحنا بدنا نشتغل
+
+133
+00:10:58,100 --> 00:11:03,140
+على النص، والنص ده دخلنا على نصه، وكل نص بدخلنا
+
+134
+00:11:03,140 --> 00:11:07,480
+على النص اللي بعده، فإجمالي الـ comparisons اللي
+
+135
+00:11:07,480 --> 00:11:11,360
+بتتم، زائد في الانصاص هذه، زائد اللي هو الـ
+
+136
+00:11:11,360 --> 00:11:14,780
+comparison الأولى، هذا في الـ worst case، وهذا الكلام
+
+137
+00:11:14,780 --> 00:11:17,120
+عبارة عن recurrence relationship زي ما أنتم
+
+138
+00:11:17,120 --> 00:11:22,500
+شايفين، معروف الـ complexity تبعتها إنها log، log base
+
+139
+00:11:22,500 --> 00:11:27,980
+2، طبعاً، ن زائد واحد، بس دخلنا الواحد، الواحد هذا هو
+
+140
+00:11:27,980 --> 00:11:36,040
+الواحد اللي برة، بس دخلنا في الـ log، okay، الآن زي ما
+
+141
+00:11:36,040 --> 00:11:37,880
+أنتم ملاحظين هنا لما يكون في عندي
+
+142
+00:11:40,870 --> 00:11:44,070
+الـ N كبيرة جداً، يعني ممكن تبقى الـ N كبيرة جداً،
+
+143
+00:11:44,070 --> 00:11:47,610
+عشر مليون، ستة أوكتين، بحر عشرين، يعني بس عشرين
+
+144
+00:11:47,610 --> 00:11:52,910
+iterations، وجدنا أو استنفذنا كل ال… استنفذنا كل
+
+145
+00:11:52,910 --> 00:11:56,990
+الـ search، هذا is very fast، وليه لأ؟ بس هذا
+
+146
+00:11:56,990 --> 00:12:01,890
+السرعة، بنقول إنه إيش بتاعة… بتيجي على أكتاف
+
+147
+00:12:01,890 --> 00:12:06,050
+عملية الـ sorting، لأن الـ array أذكرك إنه already
+
+148
+00:12:06,050 --> 00:12:10,000
+sorted، لو الـ array مش sorted بدنا نعمل لها sorting،
+
+149
+00:12:10,000 --> 00:12:15,840
+ثم بدنا نبحث فيها binary search، وبعد كده بيصير
+
+150
+00:12:15,840 --> 00:12:25,760
+الزمن كبير، تمام؟ فهي fast، ولكن لأنه الـ array sorted،
+
+151
+00:12:25,760 --> 00:12:30,480
+الشغل التاني، فهي optimal، optimal بمعنى أفضل من هي
+
+152
+00:12:30,480 --> 00:12:35,400
+كـ performance، ما فيش، لكنها sorted، قررين شغل تاني،
+
+153
+00:12:35,400 --> 00:12:39,940
+اللي هي إنه إحنا لو بدنا… لو ال… لو العناصر
+
+154
+00:12:39,940 --> 00:12:43,580
+مخزنين مش على شكل array، مش مخزنين في array، مخزنين
+
+155
+00:12:43,580 --> 00:12:50,800
+في linked list، آه، هيبقى الأمر هذا صعب جداً، ليش؟
+
+156
+00:12:50,800 --> 00:12:56,080
+لأنه أنا هنا لما بدي آجي أول إشي أقول الـ R، R إيش
+
+157
+00:12:56,080 --> 00:12:59,260
+بتساوي؟ من البداية هنا أنا قلت L بتساوي Zero،
+
+158
+00:12:59,980 --> 00:13:03,540
+L بتساوي 0، طيب لو linked list، بقول L بتساوي head،
+
+159
+00:13:03,540 --> 00:13:08,400
+ماشي، طيب R إيش بتساوي؟ أنا ممكن يكون عندي tail،
+
+160
+00:13:08,400 --> 00:13:12,600
+وممكن يكونش عندي، ممكن أضطر إني ألف الـ linked list
+
+161
+00:13:12,600 --> 00:13:18,360
+كلها عشان أجيب الـ pointer تبع آخر، صح؟ آخر عنصر،
+
+162
+00:13:18,360 --> 00:13:21,900
+ولا لأ؟ هذه الشغلة، الشغلة الثانية، بدي أجيب الـ M،
+
+163
+00:13:21,900 --> 00:13:27,400
+كيف بدي أجيبة؟ بدي أعدّهم، يعني وأنا بلف بدي أبقى
+
+164
+00:13:27,400 --> 00:13:31,700
+قاعد بأعد، لما أعرف الـ total تبعهم، بدي أقسمه على اتنين،
+
+165
+00:13:31,700 --> 00:13:37,940
+عرفت إنه العناصر ستة، بدي أرجع من البداية من أول من
+
+166
+00:13:37,940 --> 00:13:42,400
+الـ head، وأنتقل ست nodes عشان أصل للـ middle،
+
+167
+00:13:42,400 --> 00:13:48,780
+جهد طويل، overhead كثير، عشان لسه أبدأ أصل
+
+168
+00:13:48,780 --> 00:13:
+
+223
+00:18:34,860 --> 00:18:41,180
+كرر الكلام هذا الـ N الـ 50 تبدأ تتناقص لما تصل الـ
+
+224
+00:18:41,180 --> 00:18:46,100
+واحد نفس واجهة الـ M تبدأ تتضاعف لما تصل لرقم شبه
+
+225
+00:18:46,100 --> 00:18:50,240
+النهائي. مش النهائي. ليش؟ لأن عندي مثلاً حالات زي هيك
+
+226
+00:18:50,240 --> 00:18:55,180
+أن الـ 25 فردي. لما تجسمها على 2، 24 و نص. أنا هاخد الـ
+
+227
+00:18:55,180 --> 00:19:04,190
+24. نص الـ 24 والـ 1. مش هي 25؟ هي 24 + 1، تمام؟ نص
+
+228
+00:19:04,190 --> 00:19:11,070
+الـ 12 والواحد أخدت مقابله الـ 130 على شجة. يعني أنا
+
+229
+00:19:11,070 --> 00:19:16,490
+أصلاً عملية الضرب هي ما بين الـ 130 و25. فأنا ضربت في
+
+230
+00:19:16,490 --> 00:19:22,130
+24 وخلت واحد على شجة. فوين ما في عندي رقم فردي
+
+231
+00:19:22,130 --> 00:19:28,010
+فهروح أعمل الكلام هذا اللي هو أخد النص وضعف
+
+232
+00:19:28,010 --> 00:19:32,050
+الرقم الثاني لكن هحط على شجة
+
+233
+00:19:39,000 --> 00:19:43,200
+Okay. طلع على الناحية هذه. ممكن أبسط شوية لأن هنا ..
+
+234
+00:19:43,200 --> 00:19:48,040
+هنا اللي .. اللي زادوا من عملية القسمة. 25 لما
+
+235
+00:19:48,040 --> 00:19:51,980
+قسمتها على 2، طلع 12 وباليد واحد. الواحد في الـ 31
+
+236
+00:19:51,980 --> 00:19:56,640
+حواشناها شجة. هنا نفس الشيء. 3 على 2، طلع 1 وباليد
+
+237
+00:19:56,640 --> 00:20:01,980
+واحد. صح؟ الواحد انضرب في الـ 1040 فحواشناها شجة لأن
+
+238
+00:20:01,980 --> 00:20:08,580
+لما نصل هذا الـ in لواحد خلاص بنوقفه. هذا الرقم نجمع
+
+239
+00:20:08,580 --> 00:20:13,400
+معاه اللي حوشناهم. بتطلع ايش الـ total. فهذه another
+
+240
+00:20:13,400 --> 00:20:17,200
+case لـ الـ decrease by a constant. الـ constant هنا
+
+241
+00:20:17,200 --> 00:20:21,040
+مرة أخرى هو الاتنين. انه كل مرة بنجسم الـ problem
+
+242
+00:20:21,040 --> 00:20:23,400
+size على اتنين
+
+243
+00:20:26,310 --> 00:20:32,490
+هو صحيح رقمين احنا بنضربهم في بعض. N by M لكن كمية
+
+244
+00:20:32,490 --> 00:20:35,930
+الشغل بتعتمد على الرقم اللي احنا حطناه في الأول
+
+245
+00:20:35,930 --> 00:20:39,250
+الرقم الصغير اللي أخدناه في الأول. لإن هو اللي
+
+246
+00:20:39,250 --> 00:20:48,190
+بتقسم على اتنين. فهذه مرة أخرى another example اللي
+
+247
+00:20:48,190 --> 00:20:53,010
+هو مجموعة هذي زاد هذي زاد هذيهو نفسه برضه هي الـ
+
+248
+00:20:53,010 --> 00:20:58,930
+2018 مع الـ 130 .. هو نفسه بس هو زي ما تقولي بدل ما
+
+249
+00:20:58,930 --> 00:21:03,210
+انه يكتبلك يوم هي كده. فرح احطهم و احط الخط و جمع
+
+250
+00:21:03,210 --> 00:21:06,470
+واضح؟
+
+251
+00:21:06,470 --> 00:21:12,530
+المسألة ها دي يعني كيف .. لو انت فكرت فيها عملياً ولو
+
+252
+00:21:12,530 --> 00:21:17,230
+لو الكمبيوتر بده يعمل عملية ضرب للـ positive
+
+253
+00:21:17,230 --> 00:21:24,390
+integers هذه بتطلع أسرع من لو يعني الـ 65 ضرب 50 في
+
+254
+00:21:24,390 --> 00:21:30,090
+انك انت تجمع الـ 65 على نفسها 50 مرة. صح؟ هذه أسرع
+
+255
+00:21:30,090 --> 00:21:33,170
+من أن أنا اجمع الـ 65 على نفسها 50 مرة أو اجمع الـ
+
+256
+00:21:33,170 --> 00:21:38,230
+50 على نفسها 65 مرة. أن أنا أنفذ الـ multiplication
+
+257
+00:21:39,260 --> 00:21:41,740
+بالطريقة هذه أسرع من أنفذ الـ multiplication على
+
+258
+00:21:41,740 --> 00:21:45,800
+شكل additions. مجموعة additions. ليش؟ لأن هنا إيش
+
+259
+00:21:45,800 --> 00:21:50,220
+اللي بيحصل؟ فقط هذا الرقم بيتقسم على اتنين وهذا
+
+260
+00:21:50,220 --> 00:21:52,740
+الرقم بينضرب على .. بينضرب في اتنين. وفي الآخر
+
+261
+00:21:52,740 --> 00:21:57,280
+بنعمل تلت عمليات أو أربع عمليات جمع للإجمالي أو
+
+262
+00:21:57,280 --> 00:22:02,520
+شبه الإجمالي مع الـ .. مع اللي حوشناهم. عملية القسمة
+
+263
+00:22:02,520 --> 00:22:04,840
+وعملية الضرب. عملية القسمة اللي بتحدث على الـ N
+
+264
+00:22:04,840 --> 00:22:08,990
+وعملية الضرب اللي بتحدث كلها في اتنين. قسم على اتنين
+
+265
+00:22:08,990 --> 00:22:12,570
+وضرب في اتنين. في الكمبيوتر، ضرب على اتنين والقسم
+
+266
+00:22:12,570 --> 00:22:16,550
+على اتنين لما ننظرها على الـ binary level هي عملت
+
+267
+00:22:16,550 --> 00:22:22,970
+shift. وللضرب في اتنين هي shift left. والقسم
+
+268
+00:22:22,970 --> 00:22:29,010
+على اتنين هي shift right. صح؟ يعني أنا الخمسين الـ
+
+269
+00:22:29,010 --> 00:22:32,030
+binary representation تبعها. لما نجسم الخمسين على
+
+270
+00:22:32,030 --> 00:22:37,650
+اتنين بروح بعمل shift right. بطلع معايا الـ 25. Okay.
+
+271
+00:22:37,650 --> 00:22:45,130
+فهذه الإجراء أسرع بكتير أن أعمله من أن أنفذ الـ
+
+272
+00:22:45,130 --> 00:22:49,570
+additions. طيب
+
+273
+00:22:49,570 --> 00:22:55,270
+واضح ليش هذه الـ problem عبارة عن decrease by a
+
+274
+00:22:55,270 --> 00:22:57,810
+constant factor. وأن الـ constant factor اللي عندنا
+
+275
+00:22:57,810 --> 00:23:04,830
+هنا هو 2، النص. يعني طيب المثال الـ problem
+
+276
+00:23:05,860 --> 00:23:08,660
+أو المثال الأخير اللي هو الـ fake coin. مش الأخير لأ
+
+277
+00:23:08,660 --> 00:23:12,360
+الجبل الأخير. الـ fake coin puzzle. الـ fake يعني
+
+278
+00:23:12,360 --> 00:23:18,000
+المزيف. الـ coin اللي هي قطعة النقود المعدنية. فعلى
+
+279
+00:23:18,000 --> 00:23:22,740
+فرض أنه في عندنا كوم من القطع المتماثلة. كلها يعني
+
+280
+00:23:22,740 --> 00:23:28,220
+قولي مثلاً أنصاص شواكل أو شواكل. قبل شوية حكيت أنك
+
+281
+00:23:28,220 --> 00:23:34,940
+شفت كريفت shift lift. اه لما أنا بحرك shift lift مش
+
+282
+00:23:34,940 --> 00:23:41,800
+بيصير كأني ضربت الرقم في اتنين. يعني مثلاً خدي
+
+283
+00:23:41,800 --> 00:23:51,760
+هاركيهم
+
+284
+00:23:51,760 --> 00:23:53,960
+لهيك إيش بيصيروا؟
+
+285
+00:24:03,280 --> 00:24:10,600
+هذا كان هنا بده يصير هنا. هذي الآن إيش؟ هذي قداش الـ
+
+286
+00:24:10,600 --> 00:24:18,300
+value تبعها؟ تلاتة عشر. الآن حركناهم اه left. إيش صار
+
+287
+00:24:18,300 --> 00:24:30,800
+عندي؟ ستة و عشرين. اه okay
+
+288
+00:24:31,770 --> 00:24:34,450
+والعكس. لو أنا بدي أعمل shift right. shift right
+
+289
+00:24:34,450 --> 00:24:41,190
+هادي عملها shift right بالـ C13 مظبوط. فهذا في
+
+290
+00:24:41,190 --> 00:24:45,090
+الكمبيوتر سهل جداً أن نعمل الحركة. يعني الـ
+
+291
+00:24:45,090 --> 00:24:49,110
+processor بقدر يعمل الـ shift هادي بسرعة فائقة. فأنت
+
+292
+00:24:49,110 --> 00:24:52,970
+لما بقوله أن عملية الضرب كلها في الآخر هتصف على
+
+293
+00:24:52,970 --> 00:24:58,030
+عملية shift شمال أو shift يمين وعدد محدود log in
+
+294
+00:24:58,870 --> 00:25:04,270
+على عدد محدود من الشفتات هذه. فببقاش أسرع بكثير من
+
+295
+00:25:04,270 --> 00:25:08,210
+لو بدي أعملها بالمقارنة. أنا بقارن بإيه؟ أشجعت؟ بقارن
+
+296
+00:25:08,210 --> 00:25:12,110
+لو بدي أعمل عملية الضرب بشكل جمع. تكرار عملية الجمع
+
+297
+00:25:12,110 --> 00:25:17,430
+نرجع ثاني لمسألة الـ fake coin. يقولنا الـ fake coin
+
+298
+00:25:17,430 --> 00:25:20,660
+اللي هي على فرض أن في عندي مجموعة من القطع
+
+299
+00:25:20,660 --> 00:25:24,940
+المعدنية المتماثلة. واحدة منهم مزيفة. المزيفة هذه
+
+300
+00:25:24,940 --> 00:25:29,840
+ماقدرش أفرجها بالنظر. لكن بقى معروف أن وزنها مختلف
+
+301
+00:25:29,840 --> 00:25:35,460
+فعندي طريقة نكتشفها بالميزان. بس مش حاجة أوزنهم
+
+302
+00:25:35,460 --> 00:25:40,140
+كلهم. بديش أوزنهم كلهم. أصلاً أنا ممكن مش عارف أجدش
+
+303
+00:25:40,140 --> 00:25:45,340
+أصلاً الوزن المعياري عشان أعرف لو واحد جلت عنه. هي
+
+304
+00:25:45,340 --> 00:25:50,310
+ولا مش هيفبس. أنا إيش بقدر أسوي؟ بقدر أهجي أقول أن
+
+305
+00:25:50,310 --> 00:25:55,570
+الـ .. قولي مثلاً عندي ثمان عشر قطعة. بقسمهم جسمين
+
+306
+00:25:55,570 --> 00:25:59,090
+تسعة وتسعة. وبحطهم في ميزان. حتى الميزان برضه مش
+
+307
+00:25:59,090 --> 00:26:04,450
+إلكتروني. يعني ميزان أبو كفتين. بحط التسعة هنا
+
+308
+00:26:04,450 --> 00:26:09,610
+والتسعة هنا. اللي أجل هي اللي هي الكوم اللي فيها
+
+309
+00:26:09,610 --> 00:26:12,970
+اللي فيها القطعة المزيفة. بروح بسيب الكوم هداك و
+
+310
+00:26:12,970 --> 00:26:17,490
+باخد الكوم هذا وبجسمه لجسمين. وضلني أوزن لحد ما أصل
+
+311
+00:26:17,490 --> 00:26:21,250
+لـ حالة أن في قطعة واحدة هنا وقطعة واحدة
+
+312
+00:26:21,250 --> 00:26:25,330
+هنا. اللي أجل هي المزيفة. صح؟ يعني أنا بخفض الـ
+
+313
+00:26:25,330 --> 00:26:30,190
+problem من الـ 18 أو من الـ N. الـ original size إلى
+
+314
+00:26:30,190 --> 00:26:36,050
+نص كل مرة. مظبوط؟ وهذا برضه هينطبق عليه نفس الكلام
+
+315
+00:26:36,050 --> 00:26:45,470
+اللي قلناه قبل هيك من ناحية الـ complexity. أن
+
+316
+00:26:45,470 --> 00:26:49,810
+لو عندي أنا 18 قطعة هيكون الـ log تبع الـ 18 هو عدد
+
+317
+00:26:49,810 --> 00:26:54,730
+مرات اللي أنا بعمل فيهم وزن. عدد مرات اللي بأوزن
+
+318
+00:26:54,730 --> 00:27:01,220
+فيهم. ممكن أخفض هذا الكلام. أن أنا أقسم الكوم الأصلي
+
+319
+00:27:01,220 --> 00:27:06,780
+أو كل كوم بقى. أقسمه لثلاثة أجسام. صح ولا اه؟ لو
+
+320
+00:27:06,780 --> 00:27:14,420
+جسمته لثلاثة أجسام. لو
+
+321
+00:27:14,420 --> 00:27:22,980
+جسمته لثلاث أقسام متساوية طبعاً وأخدت
+
+322
+00:27:22,980 --> 00:27:26,520
+اتنين وزنتهم على كفة الميزان
+
+323
+00:27:31,980 --> 00:27:36,080
+الاتنين هدولة إيش احتمال؟ وإنهم يطلعوا متساويين أو
+
+324
+00:27:36,080 --> 00:27:40,440
+واحد منهم أكبر أدجل من الثاني. إذا متساويين يبقى
+
+325
+00:27:40,440 --> 00:27:44,600
+الثالث هو اللي فيه الـ coin اللي مزور. إذا هدولة
+
+326
+00:27:44,600 --> 00:27:48,300
+متساويين يبقى هذا على أساس إنه التلاتة عددهم
+
+327
+00:27:48,300 --> 00:27:54,220
+متساوي في العدد. إذا .. إذا واحد منهم أدجل من
+
+328
+00:27:54,220 --> 00:27:58,280
+الثاني يبقى الخفيف هو اللي فيه المشكلة. أنا فضط هنا
+
+329
+00:27:58,280 --> 00:28:02,080
+by a factor of ثلاثة. اللي افترض أن هو هذا اللي فيه
+
+330
+00:28:02,080 --> 00:28:06,640
+المشكلة. باخده وبجسمه لثلاث كومات. ونفس الشيء
+
+331
+00:28:06,640 --> 00:28:10,700
+بكرر. هنا أسرعت. هنا بيصير more efficient لما أنا
+
+332
+00:28:10,700 --> 00:28:14,500
+جسمهم لثلاثة. أو لو جسمتهم لأربعة بيصير أسرع
+
+333
+00:28:14,500 --> 00:28:21,000
+بس لو فكرت فيها، الأربعة هتبجم عجد شوية. لأن لو أنا
+
+334
+00:28:21,000 --> 00:28:25,960
+جسمتهم لأربعة وأخدت اتنين وطولهم متساويين أنا
+
+335
+00:28:25,960 --> 00:28:30,090
+لسه مش عارف. الاتنين الثانيين اللي ضايلين مين منهم؟ لسه
+
+336
+00:28:30,090 --> 00:28:36,670
+بيدوزن وزنتين. طب لأ ما أخدها جسمين بحيث يطلع نفس
+
+337
+00:28:36,670 --> 00:28:42,310
+الـ .. إنما ثلاثة. لو جسمت لثلاثة بيطلع more
+
+338
+00:28:42,310 --> 00:28:45,270
+efficient. ومش محتاج إلا وزن واحدة في كل iteration
+
+339
+00:28:45,270 --> 00:28:52,570
+وزن واحد هنا. بيدعمل وزنتين لو جسمتهم لأربعة. الآن لو
+
+340
+00:28:52,570 --> 00:28:56,550
+بنطلع على الـ efficiency للـ fake coin. نفس الشيء
+
+341
+00:28:56,550 --> 00:29:00,850
+اللي قلناه. log in بالنسبة للـ complexity برضه بتبقى
+
+342
+00:29:00,850 --> 00:29:06,550
+log in. ومافي
+
+343
+00:29:06,550 --> 00:29:13,590
+worst case و best case. آخر problem بس نحكي فيه على
+
+344
+00:29:13,590 --> 00:29:16,790
+السريع بس. يقولكوا تطلعوا في الكتاب على الـ solution
+
+345
+00:29:16,790 --> 00:29:21,090
+تبعها. الـ problem ببساطة أن احنا في عندنا اللي
+
+346
+00:29:21,090 --> 00:29:24,450
+بيسموه جوسيفوس problem. على اسم واحد اسمه جوسيفوس
+
+347
+00:29:24,450 --> 00:29:30,270
+يقال أن هذا الراجل كان مع مجموعة في كهف وكانوا
+
+348
+00:29:30,270 --> 00:29:34,990
+هدول قرروا أنهم ينتحروا. تمام؟ هم كانوا هربين من
+
+349
+00:29:34,990 --> 00:29:41,430
+الرومان. وقالوا لك احنا إذا هيك هيك هيقتلونا. فهذا
+
+350
+00:29:41,430 --> 00:29:47,000
+الكلام في الـ 66 للـ 70 بعد سيدنا المسيح. المهم نناقش
+
+351
+00:29:47,000 --> 00:29:49,840
+نحكي القصة كلها. لكن المهم أن هدول قرروا أن هم
+
+352
+00:29:49,840 --> 00:29:56,260
+ينتحروا بأي طريقة. بأن هم يقتلوا نفسهم. شاف كيف في
+
+353
+00:29:56,260 --> 00:30:01,620
+القرعة. كل يعني هم عملوا ترتيب لحالهم. وكل واحد بيطل
+
+354
+00:30:01,620 --> 00:30:05,540
+عليه الدور ويروح يقتل. مش نفسه، بيقتل جاره. تمام؟
+
+355
+00:30:05,540 --> 00:30:12,190
+فالآن احنا في الآخر بيظلوا اتنين. واحد منهم بيقتل
+
+356
+00:30:12,190 --> 00:30:16,030
+الثاني. وبعدين يقتل نفسه. فهذا الراجل جوسيفوس بيقوله
+
+357
+00:30:16,030 --> 00:30:18,950
+أن يعني هو رتب القرعة بحيث أن يطلع هو آخر واحد
+
+358
+00:30:18,950 --> 00:30:23,390
+آخر واحد يظل هو. واحد ثاني. وفعلاً يظل هو واحد ثاني
+
+359
+00:30:23,390 --> 00:30:28,130
+وبدل ما يقتله ويقتل حاله أو هداك يقتله. المهم أقنعه
+
+360
+00:30:28,130 --> 00:30:32,550
+بأنهم يسلموا حاله. لو أصلاً ماكانوش بدوا يسلموا حاله
+
+361
+00:30:32,550 --> 00:30:39,050
+الآن احنا الـ problem اللي عندنا هنا نفسا بس بتغيير
+
+362
+00:30:39,050 --> 00:30:43,370
+بسيط وهو أن مافيش قرعة. أن عملية الـ .. القتل هذه
+
+363
+00:30:43,370 --> 00:30:48,270
+أو خليني أقول التخلص. بدا تبدأ من الشخص الأولاني
+
+364
+00:30:48,270 --> 00:30:51,410
+الشخص الأولاني بديه يقتل جاره. الآن الثالث بديه
+
+365
+00:30:51,410 --> 00:30:54,810
+يقتل الرابع. الخامس بديه يقتل السادس. زي هيك. يعني لو
+
+366
+00:30:54,810 --> 00:31:00,410
+هم سبعة أشخاص. خليني أقول لو هم ستة أشخاص. هذا بديه
+
+367
+00:31:00,410 --> 00:31:04,290
+يقتل الثاني. فالثاني بديه يروح. في أول دورة الثالث
+
+368
+00:31:04,290 --> 00:31:08,510
+بديه يقتل الرابع. الآن الخامس يقتل السادس. هدولة الآن
+
+369
+00:31:08,510 --> 00:31:13,650
+في أول دورة اللي عليهم رقم واحد هيروحوا. بعد هيك
+
+370
+00:31:13,650 --> 00:31:22,750
+هيجي الآن اثنين خمسة. هيقتل اثنين. تمام؟ أو كيف؟ هتيجي
+
+371
+00:31:22,750 --> 00:31:28,510
+بعد ستة. sorry. لأ بعد ستة هيجي واحد يقتل ثلاثة لأن
+
+372
+00:31:28,510 --> 00:31:31,350
+هدولة راحوا خلاص. لأن صارت الـ problem محصورة في
+
+373
+00:31:31,350 --> 00:31:36,070
+الثلاثة هدولة. هدولة راحوا. Okay. واحد. مين اللي بعده
+
+374
+00:31:36,070 --> 00:31:40,110
+جاره. هي ده. وبعدين الخمسة هيقتل واحد. هيروح. هدول
+
+375
+00:31:40,110 --> 00:31:43,890
+اثنين لحين. هيضل خمسة. Okay. فالآن المسألة اللي
+
+376
+00:31:43,890 --> 00:31:47,670
+تابعتنا هنا. لما أنا أعطيك عدد ستة من الـ .. من
+
+377
+00:31:47,670 --> 00:31:53,030
+الأشخاص. أنت بتقول لي مين الأخير اللي بيضل. الـ
+
+378
+00:31:53,030 --> 00:31:57,090
+problem هي أن given a number of خمسة أو ستة أو n
+
+379
+00:31:57,090 --> 00:32:02,050
+people. إيش ترتيب الشخص اللي هيضله آخر واحد؟ Okay.
+
+380
+00:32:06,170 --> 00:32:12,690
+فالمسألة هذه في الآخر حصرها أن في كل round عدد
+
+381
+00:32:12,690 --> 00:32:16,690
+الأشخاص اللي هيظلوا نص عدد الأشخاص اللي كانوا. okay.
+
+382
+00:32:16,690 --> 00:32:22,050
+عشان أنا أعرف مين اللي هيظل من ثلاثة أو من من ستة
+
+383
+00:32:22,050 --> 00:32:25,890
+من ستة كانوا بالعصر. ستة. بدي أسأل مين اللي هيظل من
+
+384
+00:32:25,890 --> 00:32:33,910
+ثلاثة. اه اللي يعني هدول كانوا ستة. راحوا من الثلاثة
+
+385
+00:32:33,910 --> 00:32:39,510
+وضل ثلاثة. لأن مين اللي هيضال من الثلاثة؟ قد إيش؟ مين
+
+386
+00:32:39,510 --> 00:32:43,090
+اللي هيضال من .. ففي كل في كل round من الـ rounds
+
+387
+00:32:43,090 --> 00:32:48,770
+لبط الـ problem. في عندي أنا عدد بده ينجسم على اتنين
+
+388
+00:32:48,770 --> 00:32:55,250
+ولما أعرف اللي ضل من هدول من
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..11b0761dfed004aaa0ae0519ee019d8434d5b346
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8_postprocess.srt
@@ -0,0 +1,1588 @@
+1
+00:00:20,890 --> 00:00:23,570
+ماشي بسم الله الرحمن الرحيم الصلاة والسلام على
+
+2
+00:00:23,570 --> 00:00:26,770
+أشرف المرسلين اليوم إن شاء الله بدنا نكمل في موضوع
+
+3
+00:00:26,770 --> 00:00:29,250
+ال decrease and conquer بس بدنا ننتقل إلى ال
+
+4
+00:00:29,250 --> 00:00:31,890
+decrease by a constant factor في ال constant
+
+5
+00:00:31,890 --> 00:00:37,370
+factor هنا ال problem size بيتخفض بمقدار ثابت
+
+6
+00:00:37,370 --> 00:00:42,610
+بمقدار النص أو التلت في كل في كل round أو في كل
+
+7
+00:00:42,610 --> 00:00:47,280
+دورة من دورات ال algorithmوبعد ذلك بنطلع على
+
+8
+00:00:47,280 --> 00:00:49,460
+المحاضرة الجاية ان شاء الله بنطلع على ال variable
+
+9
+00:00:49,460 --> 00:00:51,940
+size decrease اللي هو decreasing by variable size
+
+10
+00:00:51,940 --> 00:00:56,060
+كل مرة بتختلف عن المرة اللي قبلها طيب في عندنا هنا
+
+11
+00:00:56,060 --> 00:01:03,720
+في ال decrease by constant factor في عدة problems
+
+12
+00:01:03,720 --> 00:01:07,500
+بنتطلع عليهم ونشوف كيف بتتم التعامل معاهم بهذا
+
+13
+00:01:07,500 --> 00:01:11,900
+الأسلوب أسلوب ال decrease by constant factor في
+
+14
+00:01:11,900 --> 00:01:17,180
+عندناالـ Binary Search Problem وفي الـ
+
+15
+00:01:17,180 --> 00:01:21,700
+Exponentiation by Squaring وفي الـ Russian Peasant
+
+16
+00:01:21,700 --> 00:01:25,320
+Method وفي الـ Fake Coin Puzzle وJosephus Problem
+
+17
+00:01:25,320 --> 00:01:31,000
+طلع عليهم ربما ما نلحقش الأخيرة دي مش قضية المهم
+
+18
+00:01:31,000 --> 00:01:35,200
+هم أمثلة كافية يعني لتوضيح الفكرة و التعرف على
+
+19
+00:01:35,200 --> 00:01:39,780
+كفاءة ال algorithmات اللي بتشغل بهذه الطريقة ال
+
+20
+00:01:39,780 --> 00:01:42,600
+binary search نبدأ فيهم من الأولى ال binary search
+
+21
+00:01:45,110 --> 00:01:48,670
+إذا بتاع .. إذا حد بيعرفها أو بيعرفاش مش .. مش
+
+22
+00:01:48,670 --> 00:01:52,430
+قضية المهم إنه هي ببساطة أولا بتعتمد على وجود ال
+
+23
+00:01:52,430 --> 00:01:55,390
+.. ال array تكون sorted احنا search بمعنى عندي
+
+24
+00:01:55,390 --> 00:01:59,170
+value بقولي مثلا ال 70 بدي أبحث عنه في إيه ال
+
+25
+00:01:59,170 --> 00:02:02,190
+array ال array هذه إذا بدي أشتغل ال binary search
+
+26
+00:02:02,190 --> 00:02:06,850
+لازم تكون ال array هذه sortedالـ 70 هنا موجود هيته
+
+27
+00:02:06,850 --> 00:02:11,890
+كيف ال binary search بتشتغل بإنه احنا بننظر إلى ال
+
+28
+00:02:11,890 --> 00:02:15,950
+array كلها في الأول بعدها ننظر إلى نص منها و بعدها
+
+29
+00:02:15,950 --> 00:02:17,170
+نص و نص و نص و نص و نص و نص و نص و نص و نص و نص و
+
+30
+00:02:17,170 --> 00:02:18,890
+نص و نص و نص و نص و نص و نص و نص و نص و نص و نص و
+
+31
+00:02:18,890 --> 00:02:21,570
+نص و نص و نص و نص و نص و نص و نص و نص و نص و نص و
+
+32
+00:02:21,570 --> 00:02:26,030
+نص و نص و نص و نص و نص و نص و نص و نص و نص و نص و
+
+33
+00:02:26,030 --> 00:02:27,250
+نص و نص و نص و نص و نص و نص و نص و نص و نص و نص و
+
+34
+00:02:27,250 --> 00:02:35,700
+نص و نص و نص و نص و نص و نص و نص و نالان العصر
+
+35
+00:02:35,700 --> 00:02:42,300
+الوسط M بنقارن ال value اللي معانا K بيه ال value
+
+36
+00:02:42,300 --> 00:02:47,200
+اللي بتشاور عليه M إذا والله هو خلصناه إذا هذا هو
+
+37
+00:02:47,200 --> 00:02:53,400
+77 خلصناه لجينا انتهينا مش هو بنشوف هل المعانا
+
+38
+00:02:53,400 --> 00:02:58,000
+أكبر منه ولا أصغر منه على أساس انها sorted إذا
+
+39
+00:02:58,000 --> 00:03:04,440
+المعانا K أكبر يبقى موجود في النص اللي بعدإذا اللي
+
+40
+00:03:04,440 --> 00:03:07,980
+معانا أصغر يبقى موجود في النص اللي قبل فهنا في
+
+41
+00:03:07,980 --> 00:03:12,520
+الحالة اللي أمامنا موجود في النص ال value هذا اللي
+
+42
+00:03:12,520 --> 00:03:16,140
+بيشار عليه M أصغر من اللي معانا فيبقى اللي معانا
+
+43
+00:03:16,140 --> 00:03:19,280
+بعيد فالأن إيش اللي بيحصل أن ال algorithm بتروح و
+
+44
+00:03:19,280 --> 00:03:25,620
+بتحركالـ L و الـ R هدولا دايما بتحركوا بتحركوا على
+
+45
+00:03:25,620 --> 00:03:29,740
+حسب انه احنا هنتقل الى نص هذا و لا نص هذا فلأنه
+
+46
+00:03:29,740 --> 00:03:34,120
+احنا هنتقل الى نص هذا يبقى الـ L ده تتحرك و الـ R
+
+47
+00:03:34,120 --> 00:03:37,740
+بتبقى ضالها زي ما هي الـ L بتتحرك لوين؟ لعلى طول
+
+48
+00:03:37,740 --> 00:03:40,600
+ال element اللي بعد الـ M مباشرة اللي هو M زائد
+
+49
+00:03:40,600 --> 00:03:44,120
+واحد هذا الآن بيحصل يعني هذا ال iteration الأولى
+
+50
+00:03:44,120 --> 00:03:47,610
+صح؟ و هذا ال iteration التانيةو بعدها ال
+
+51
+00:03:47,610 --> 00:03:51,390
+declaration التالتة لان لما ال صارت هنا ارض زي ما
+
+52
+00:03:51,390 --> 00:03:56,990
+هي ماشي ماغيرناش الان وين الوسط تبقى هذه الان صارت
+
+53
+00:03:56,990 --> 00:03:59,950
+هي ال array الجديد خلاص هذا خلصت هذا ولا .. ولا
+
+54
+00:03:59,950 --> 00:04:02,910
+بندور فيها اشي هذه الان صارت ال array الجديد هذا
+
+55
+00:04:02,910 --> 00:04:06,590
+ال problem الجديد او ال size الجديد في الأول كان n
+
+56
+00:04:06,590 --> 00:04:12,020
+بالساوي جديش هدول اظن تلتاش اتناشالان صارت من هنا
+
+57
+00:04:12,020 --> 00:04:18,040
+ل هنا ا تلتاشة كانوا الان صاروا ستة اللي هو من هنا
+
+58
+00:04:18,040 --> 00:04:25,160
+ل اتناشة مظبوط الوسط فيهم اللي هو هذا طبعا الوسط
+
+59
+00:04:25,160 --> 00:04:33,940
+كيف بنحسبه اللي هو عبارة عن L زائد R على اتنين و
+
+60
+00:04:33,940 --> 00:04:38,930
+بناخد ال floor تبعهاصح يعني عندى انا في الاول L
+
+61
+00:04:38,930 --> 00:04:43,050
+كانت بيساوي Zero وR كانت بيساوي إيش N ناقص واحد
+
+62
+00:04:43,050 --> 00:04:47,630
+لإن ال count ال index بيبدأ ب Zero ان أنا جديش
+
+63
+00:04:47,630 --> 00:04:52,910
+بقولتولي انتوا تلتاش وين
+
+64
+00:04:52,910 --> 00:04:58,170
+مكتوب تمام تلتاش يعني N ناقص واحد بيساوي اتناش لإن
+
+65
+00:04:58,170 --> 00:05:04,000
+اتناش زي ال Zero اتناش على اتنين6 ف6 AM هي 6 صح
+
+66
+00:05:04,000 --> 00:05:11,000
+لأن لما اتحركت ال L صارت جداش ال L 7 7 و ال R زي
+
+67
+00:05:11,000 --> 00:05:18,980
+ما هي مظبوط ال
+
+68
+00:05:18,980 --> 00:05:21,840
+floor تبقى حلصة أو تمانية مظبوط يبقى في ال
+
+69
+00:05:21,840 --> 00:05:30,820
+iteration الجديدة تسعة أسف تسعة تسعة عشرأه تسعة و
+
+70
+00:05:30,820 --> 00:05:38,140
+نص فالان ال M تتشير على العنصر رقم تسعة و
+
+71
+00:05:38,140 --> 00:05:44,860
+ده و لايك خليني أطلع على بعض هيك طلعنا احنا هنقارن
+
+72
+00:05:44,860 --> 00:05:47,520
+مع مين مع ال M ال M واحد تمانين أكبر من اللي معانا
+
+73
+00:05:47,520 --> 00:05:51,380
+يبقى بدنا نرجع رجوع على النص الجابل النص الجابل
+
+74
+00:05:51,380 --> 00:05:55,680
+بيبدأ من عند L زي ما هي R الآن هي اللي بدأت تتحرك
+
+75
+00:05:55,680 --> 00:05:57,620
+إلى مين M ناقص واحد
+
+76
+00:06:03,360 --> 00:06:13,260
+ماذا يساوي M اذا L سبعة و R ثمانية على اتنين
+
+77
+00:06:13,260 --> 00:06:19,880
+خمستاش على اتنين سبعة سبعة و نص ال floor تبعهم
+
+78
+00:06:19,880 --> 00:06:26,920
+سبعة تمام سبعة هي ال left و هي ال middle
+
+79
+00:06:28,950 --> 00:06:33,250
+خلاص هنروح على ال middle هنلاقي هو ال 70 هنطلعه
+
+80
+00:06:33,250 --> 00:06:38,790
+يبقى التلاتة iterations ال array طولها 13 لو بدنا
+
+81
+00:06:38,790 --> 00:06:43,050
+نبحث فيها sequential هنلف واحد اتنين هنلف ممكن
+
+82
+00:06:43,050 --> 00:06:49,490
+تسعة لفات او سبع تمان لفات لكن اختصرنا هذا الرقم
+
+83
+00:06:49,490 --> 00:06:53,890
+إلى تلاتة التلاتة هذه هي عبارة عن ال log او ال
+
+84
+00:06:53,890 --> 00:06:58,690
+floor تبعالـ log تبع ال N الـ N اللي هو الـ الـ
+
+85
+00:06:58,690 --> 00:07:04,370
+original problem size اللي هو 13 هذا الكلام أنا
+
+86
+00:07:04,370 --> 00:07:09,630
+قلته من غير ما أعمل analysis ولا أعمل حساب لعدد
+
+87
+00:07:09,630 --> 00:07:13,650
+ليش؟ لأن معرفتنا السابقة بكل ال problems اللي ال
+
+88
+00:07:13,650 --> 00:07:17,330
+.. ال .. ال size تبع ال problem بيتناقص مع كل دورة
+
+89
+00:07:17,330 --> 00:07:22,360
+من دورات ال algorithm بيتناقص مقدار نص اه انهالـ
+
+90
+00:07:22,360 --> 00:07:28,520
+complexity تبعتها log الـ N log base 2 للـ N هي ال
+
+91
+00:07:28,520 --> 00:07:31,720
+algorithm هنا ال algorithm زي ما انتوا شايفين او
+
+92
+00:07:31,720 --> 00:07:37,320
+حكينا انه
+
+93
+00:07:37,320 --> 00:07:43,940
+في البداية ال L و ال R بنضبطهم على البداية و
+
+94
+00:07:43,940 --> 00:07:48,670
+النهاية تبعت ال arrayOkay while ال L less than ..
+
+95
+00:07:48,670 --> 00:07:53,350
+خلّيني بس نجرب على ال slide هادي أوضح شوية ال .. و
+
+96
+00:07:53,350 --> 00:08:01,090
+اللي هاديك أوضح ال zero و R بساوي N نقص واحد ال N
+
+97
+00:08:01,090 --> 00:08:07,770
+في كل دورة نحسب ال M عبارة عن L زي دورة على اتنين
+
+98
+00:08:07,770 --> 00:08:13,770
+ال floor تبعها و بنروح بنقارن إذا يساوي .. إذا ال
+
+99
+00:08:13,770 --> 00:08:17,590
+K يساوي الأنصار اللي موجودة على ال Mبخلص بنطلع و
+
+100
+00:08:17,590 --> 00:08:22,650
+بنرجع ال M و إلا إذا
+
+101
+00:08:22,650 --> 00:08:28,050
+أقل إذا K أقل يبقى بنروح على نص الأولاني عشان نروح
+
+102
+00:08:28,050 --> 00:08:34,910
+على نص الأولاني بنرجع ال R ل M نقص واحد و إلا إذا
+
+103
+00:08:34,910 --> 00:08:38,170
+مش أقل يعني أكبر خلّي بالك إنه عندي أنا هنا
+
+104
+00:08:38,170 --> 00:08:44,610
+comparisoncomparison في ثلاث شعب صح يساوي أقل من و
+
+105
+00:08:44,610 --> 00:08:50,490
+أكبر من واحدة من الحلقة التلاتة هدولة فهي عملية
+
+106
+00:08:50,490 --> 00:08:53,330
+مقارنة واحدة بنعتبرها و هي ال basic operation
+
+107
+00:08:53,330 --> 00:08:57,230
+مظبوط و بتتكرر في داخل اللوب هذا اللوب هذا بتستمر
+
+108
+00:08:57,230 --> 00:09:02,110
+لغاية ما ال L و ال R ال L و ال R بيقتربوا من بعض
+
+109
+00:09:02,110 --> 00:09:06,470
+تدريجيا صح هذه مرة مرة بتقدم لجدام و مرة هذيك
+
+110
+00:09:06,470 --> 00:09:14,850
+بترجعمظبوط فبعد ذلك بيتلاقوا إذا اتلاقوا خلاص هذه
+
+111
+00:09:14,850 --> 00:09:20,090
+أخر iteration إذا واحد منهم صارت أكبر من ال ..
+
+112
+00:09:20,090 --> 00:09:22,490
+يعني ال L صارت أكبر من ال R أو ال R صار أصغر من ال
+
+113
+00:09:22,490 --> 00:09:26,830
+L معناته دي اللي حتيجه في ال loop فإذا وصلنا لهذا
+
+114
+00:09:26,830 --> 00:09:30,290
+النقطة و ال M ماكانش يساوي ال K بجه ال K مش موجود
+
+115
+00:09:30,290 --> 00:09:33,790
+اللي بيبني بحث عنه إذا وصلنا لنهاية عملية ال
+
+116
+00:09:33,790 --> 00:09:37,280
+search و اللي بيبني بحث عنه مش موجود يبجهreturn
+
+117
+00:09:37,280 --> 00:09:43,000
+ناقص واحد بمعنى أنه مش موجود بالنسبة
+
+118
+00:09:43,000 --> 00:09:47,300
+لل complexity فيه أننا بنطلع على هل في worst case
+
+119
+00:09:47,300 --> 00:09:50,440
+و best case ولا لأ أكيد في worst case ال worst
+
+120
+00:09:50,440 --> 00:09:55,980
+case اللي هي أنه مانلاقيش ال key أو نلاقيه في آخر
+
+121
+00:09:55,980 --> 00:10:03,080
+iteration اللي هو لما يلتقي ال L و ال R ال best
+
+122
+00:10:03,080 --> 00:10:07,530
+case أنه نلاقيه من البداية على أول Mالان ال worst
+
+123
+00:10:07,530 --> 00:10:10,790
+case عدد مرات التنفيذ سبعها في ال worst case
+
+124
+00:10:10,790 --> 00:10:14,970
+المعنى انه احنا بدنا نستنفذ كل ال .. كل ال
+
+125
+00:10:14,970 --> 00:10:19,950
+iterations في هذا الحالة بيكون ايش ال number of
+
+126
+00:10:19,950 --> 00:10:24,190
+comparisons هنا ال C نقصد فيها ال comparisons في
+
+127
+00:10:24,190 --> 00:10:30,550
+ال worst case بيساوي ال comparisons لنص ال N لان
+
+128
+00:10:30,550 --> 00:10:31,370
+احنا زي ما قلنا
+
+129
+00:10:34,260 --> 00:10:40,760
+كل iteration بتشتغل على النص اللي جابلها نص ال
+
+130
+00:10:40,760 --> 00:10:47,700
+calculations اللي هتم على النص زائد ال comparison
+
+131
+00:10:47,700 --> 00:10:53,420
+اللي عملت في الأولاللي اول comparison عملنا اشترنا
+
+132
+00:10:53,420 --> 00:10:58,100
+حسبنا ال M و قررناه مالجيناهوش و روحنا بدنا نشتغل
+
+133
+00:10:58,100 --> 00:11:03,140
+على النص و النص ده دخلنا على نصه و كل نص بدخلنا
+
+134
+00:11:03,140 --> 00:11:07,480
+على النص اللي بعده فإجمالي ال comparisons اللي
+
+135
+00:11:07,480 --> 00:11:11,360
+بتتم زائد في الانصاص هذه زائد اللي هو ال
+
+136
+00:11:11,360 --> 00:11:14,780
+comparison الأولى هذا في ال worst case وهذا الكلام
+
+137
+00:11:14,780 --> 00:11:17,120
+عبارة عن recurrence relationship زي ما انتوا
+
+138
+00:11:17,120 --> 00:11:22,500
+شايفينمعروف ال complexity تبعتها انها log log base
+
+139
+00:11:22,500 --> 00:11:27,980
+2 طبعا ان زائد واحد بس دخلنا الواحد الواحد هذا هو
+
+140
+00:11:27,980 --> 00:11:36,040
+الواحد اللي برا بس دخلنا في ال log okay الآن زي ما
+
+141
+00:11:36,040 --> 00:11:37,880
+انتوا ملاحظين هنا لما يكون في عندي
+
+142
+00:11:40,870 --> 00:11:44,070
+الـ N كبيرة جدا، يعني ممكن تبقى الـ N كبيرة جدا،
+
+143
+00:11:44,070 --> 00:11:47,610
+عشر عقل ستة الـ Octane بحر عشرين، يعني بس عشرين
+
+144
+00:11:47,610 --> 00:11:52,910
+iterations واجدنا أو استنفذنا كل ال .. استنفذنا كل
+
+145
+00:11:52,910 --> 00:11:56,990
+ال search فهذا is very fast و ليه لأ؟ بس هذا
+
+146
+00:11:56,990 --> 00:12:01,890
+السرعة بنقول أنه إيش بتاعة .. بتيجي على أكتاف
+
+147
+00:12:01,890 --> 00:12:06,050
+عملية ال sorting لأن ال array اذكره انه already
+
+148
+00:12:06,050 --> 00:12:10,000
+sortedلو ال array مش sorted بدنا نعمل لها sorting
+
+149
+00:12:10,000 --> 00:12:15,840
+ثم بدنا نبحث فيها binary search وبعد كده بيصير
+
+150
+00:12:15,840 --> 00:12:25,760
+الزمن كبير تمام فهي fast ولكن لأنه ال array sorted
+
+151
+00:12:25,760 --> 00:12:30,480
+الشغل التاني فهي optimal optimal بمعنى أفضل من هي
+
+152
+00:12:30,480 --> 00:12:35,400
+ك performance مافيشلكنها sorted قررين شغل تاني
+
+153
+00:12:35,400 --> 00:12:39,940
+اللي هي انه احنا لو بدنا .. لو ال .. لو الاعناصر
+
+154
+00:12:39,940 --> 00:12:43,580
+مخزنين مش على شكل قررين مش مخزنين في قررين مخزنين
+
+155
+00:12:43,580 --> 00:12:50,800
+في linked list اه هيبقى الامر هذا صعب جدا ليش؟
+
+156
+00:12:50,800 --> 00:12:56,080
+لأنه انا هنا لما بدي اجي اول اشي اقول ال R R ايش
+
+157
+00:12:56,080 --> 00:12:59,260
+بتساوي؟ من البداية هنا انا قولت L بتساوي Zero
+
+158
+00:12:59,980 --> 00:13:03,540
+Lبتساوي 0 طيب لو linked list بقول L بتساوي head
+
+159
+00:13:03,540 --> 00:13:08,400
+ماشي طيب R ايش بتساوي؟ انا ممكن يكون عندي tail
+
+160
+00:13:08,400 --> 00:13:12,600
+وممكن يكونش عندي ممكن اضطر اني ألف ال linked list
+
+161
+00:13:12,600 --> 00:13:18,360
+كلها عشان اجيب ال pointer تبع اخر صح؟ اخر أنصار
+
+162
+00:13:18,360 --> 00:13:21,900
+ولا لا؟ هذه الشغلة الشغلة التانية بدي اجيب ال M
+
+163
+00:13:21,900 --> 00:13:27,400
+كيف بدي اجيبه؟ بدي اعدهم يعني وانا بلف بدي ابقى
+
+164
+00:13:27,400 --> 00:13:31,700
+قاعد بعدلما اعرف ال total تبعهم بده اجسم على اتنين
+
+165
+00:13:31,700 --> 00:13:37,940
+عرفت انه الاصر ستة بده ارجع من البداية من اول من
+
+166
+00:13:37,940 --> 00:13:42,400
+ال head و انتجل ست nodes عشان اصل لمن لل middle
+
+167
+00:13:42,400 --> 00:13:48,780
+جثة طويلة over head كتير عشان لسه ابدا اصل
+
+168
+00:13:48,780 --> 00:13:53,960
+للمقارنةو بعد هيك كل الكلام هذا بدي اكرر كل مرة
+
+169
+00:13:53,960 --> 00:14:00,020
+فال algorithm دي ال limitation تبعها انها محكومة
+
+170
+00:14:00,020 --> 00:14:03,940
+بس بال array و ال array تبقى sorted linked list
+
+171
+00:14:03,940 --> 00:14:08,140
+بيبقى صعب كتير خلاص النقطتين هدولة بس ملاحظتين على
+
+172
+00:14:08,140 --> 00:14:14,220
+ال binary ال problem اللي بعد هيك ال problem اللي
+
+173
+00:14:14,220 --> 00:14:20,140
+بعد هيك ليه ال exponentiation by squaring احناالـ
+
+174
+00:14:20,140 --> 00:14:22,880
+Exponentiation كنا ذكرناها في البداية و احنا بنحكي
+
+175
+00:14:22,880 --> 00:14:25,620
+في اول ما بدنا نحكي عن ال decrease and conquer
+
+176
+00:14:25,620 --> 00:14:27,760
+وقلنا انه من امثلات ال decrease and conquer اللي
+
+177
+00:14:27,760 --> 00:14:31,140
+هو ال exponentiation ان عندي رقم بدي ارفع اص n
+
+178
+00:14:31,140 --> 00:14:38,660
+فانا ممكن اتعامل على اساس decrease by one انه اقول
+
+179
+00:14:38,660 --> 00:14:42,200
+a of n او a to the power n بيساوي a to the power n
+
+180
+00:14:42,200 --> 00:14:48,230
+ناقص واحد ضرب a مظبوطهذا decrease by one decrease
+
+181
+00:14:48,230 --> 00:14:52,590
+by a constant factor of two انه ايجي اقول a to the
+
+182
+00:14:52,590 --> 00:14:57,090
+power n بيساوي a to the power n على اتنين اه اما
+
+183
+00:14:57,090 --> 00:15:01,070
+اقول تربيع او اقول ضرب a to the power n على اتنين
+
+184
+00:15:01,070 --> 00:15:07,050
+خلينا نبسطها و نقول تربيع صح ولا لا؟ بس هذا الكلام
+
+185
+00:15:07,050 --> 00:15:13,250
+فقط اذا كان ال n زوجي اذا ال n فردي و جسمت ال n
+
+186
+00:15:13,250 --> 00:15:20,390
+على اتنين يعني ال n مثلا تسعة9 بيدا تساوي اربعة
+
+187
+00:15:20,390 --> 00:15:31,210
+تربيع ضرب كمان ايش ضرب كمان ايه صح ولا لأ في
+
+188
+00:15:31,210 --> 00:15:36,890
+المحصلة هي واحدة انه انا بعمل decreasing لل N by
+
+189
+00:15:36,890 --> 00:15:43,030
+half كل مرة باخد نصها بس هتفرج معايا اذا N زوجي
+
+190
+00:15:45,380 --> 00:15:47,860
+طبعا العملية الأساسية عندي هي multiplication
+
+191
+00:15:47,860 --> 00:15:51,500
+العملية الأساسية اللي عندي هي multiplication لأن
+
+192
+00:15:51,500 --> 00:15:59,100
+أنا سواء زوجي أو فردي أنا هقاجي لل output تبع a
+
+193
+00:15:59,100 --> 00:16:04,520
+all to the power n على 2 أخد هذا وأضربه في نفسه
+
+194
+00:16:04,520 --> 00:16:09,940
+ففي عندي أنا عمليات الضرب اللي تمت عشان أحسب هذا
+
+195
+00:16:09,940 --> 00:16:13,400
+زائد واحد اللي هي عملية الضرب عشان أضربه في نفسه
+
+196
+00:16:13,960 --> 00:16:19,400
+هذا إذا زوجي إذا فردي هعمل نفس الكلام عمليات الضرب
+
+197
+00:16:19,400 --> 00:16:23,220
+اللي تمت من داخل القوس زاد عملية الضرب تبع التربية
+
+198
+00:16:23,220 --> 00:16:27,860
+هذه زاد عملية الضرب هذه ففي عندي ال
+
+199
+00:16:27,860 --> 00:16:33,480
+multiplications اللي هيتكلفها العمل يساوي
+
+200
+00:16:33,480 --> 00:16:37,580
+multiplications تبعت N على 2 ال floor تبع هذا
+
+201
+00:16:37,580 --> 00:16:45,020
+الكلام زائد اما واحد او اتنينواحد عملية
+
+202
+00:16:45,020 --> 00:16:51,520
+multiplication واحدة إضافية أو عمليتين في المحاصلة
+
+203
+00:16:51,520 --> 00:16:55,660
+هذا مش خلاف لأنه احنا معنين بهذا ال term هذا الحد
+
+204
+00:16:55,660 --> 00:17:00,060
+هو اللي بيحكم ال efficiency هو اللي بيحدد ال
+
+205
+00:17:00,060 --> 00:17:04,160
+efficiency وزي ما قلنا قبل هيك في المثال الأولاني
+
+206
+00:17:04,160 --> 00:17:10,840
+ان هذا لأنه بنخفض ال problem by two
+
+207
+00:17:13,050 --> 00:17:18,590
+فالاش ال complexity log n لأن هذا المثل فيها worst
+
+208
+00:17:18,590 --> 00:17:21,810
+case و best case لأ مافيش فيها worst case و best
+
+209
+00:17:21,810 --> 00:17:26,090
+case صح فبالتالي ال complexity تمعت big theta of
+
+210
+00:17:26,090 --> 00:17:31,450
+log n تمام
+
+211
+00:17:31,450 --> 00:17:37,640
+مثال التالت هل عنده سؤال بالنسبة لهذهمثال التالت
+
+212
+00:17:37,640 --> 00:17:41,940
+مسألة بيسموها ال Russian peasant multiplication
+
+213
+00:17:41,940 --> 00:17:49,520
+peasant يعني فلاح الفلاح الروسي يعني فيقول انه
+
+214
+00:17:49,520 --> 00:17:56,480
+لعهد قريب يعني يمكن القرن التامن عشر التاسع عشر مش
+
+215
+00:17:56,480 --> 00:18:00,340
+عارف كان معروف عن الفلاحين في روسيا انه لما بيجي
+
+216
+00:18:00,340 --> 00:18:01,560
+يضربوا اي رقمين
+
+217
+00:18:04,080 --> 00:18:08,060
+بروح ايش بيسوي؟ بياخد الصغير منهم بيحطه في الأول و
+
+218
+00:18:08,060 --> 00:18:14,460
+بعدين ايش بيسوي؟ هيقول مثلا بنضرب خمسين في ستين في
+
+219
+00:18:14,460 --> 00:18:20,740
+خمسة و ستين الصغير اللي هو الخمسين بيجسمه على
+
+220
+00:18:20,740 --> 00:18:24,220
+اتنين و في المقابل بيضرب التاني في اتنين يعني مثلا
+
+221
+00:18:24,220 --> 00:18:29,200
+خمسين في خمسة و ستين هي تساوي خمسة و عشرين اللي هي
+
+222
+00:18:29,200 --> 00:18:33,060
+نص الخمسين وضعف الخمسة و ستين صح؟
+
+223
+00:18:34,860 --> 00:18:41,180
+كرر الكلام هذا ال N ال 50 تبدأ تتناقص لما تصل ال
+
+224
+00:18:41,180 --> 00:18:46,100
+واحد نفس واجهة ال M تبدأ تتضاعف لما تصل لرقم شبه
+
+225
+00:18:46,100 --> 00:18:50,240
+النهائي مش النهائي ليش؟ لأن عندي مثلا حالات زي هيك
+
+226
+00:18:50,240 --> 00:18:55,180
+ان ال 25 فردي لما تجسمها على 2 24 و نص انا هاخد ال
+
+227
+00:18:55,180 --> 00:19:04,190
+24 نص ال 24 و ال 1 مش هي 25 هي 24 زائد 1 تمام؟نص
+
+228
+00:19:04,190 --> 00:19:11,070
+الـ12 والواحد أخدت مقابله الـ130 على شجة يعني أنا
+
+229
+00:19:11,070 --> 00:19:16,490
+أصلا عملية الضرب هي ما بين الـ130 و25 فأنا ضربت في
+
+230
+00:19:16,490 --> 00:19:22,130
+24 وخلت واحد على شجة فوين ما في عندي رقم فردي
+
+231
+00:19:22,130 --> 00:19:28,010
+فهروح أعمل الكلام هذا اللي هو أخد أخد النص وضعف
+
+232
+00:19:28,010 --> 00:19:32,050
+الرقم التاني لكن هحط على شجة
+
+233
+00:19:39,000 --> 00:19:43,200
+Okay طلع على الناحية هذه ممكن أبسط شوية لأن هنا ..
+
+234
+00:19:43,200 --> 00:19:48,040
+هنا اللي .. اللي زادوا من عملية القسمة 25 لما
+
+235
+00:19:48,040 --> 00:19:51,980
+قسمتها على 2 طلع 12 و باليد واحد الواحد في ال 31
+
+236
+00:19:51,980 --> 00:19:56,640
+حواشناها شجة هنا نفس الشيء 3 على 2 طلع 1 و باليد
+
+237
+00:19:56,640 --> 00:20:01,980
+واحد صح الواحد انضرب في ال 1040 فحواشناها شجة لأن
+
+238
+00:20:01,980 --> 00:20:08,580
+لما نصل هذا ال in لواحد خلاص بنوقفهذا الرقم نجمع
+
+239
+00:20:08,580 --> 00:20:13,400
+معاه اللي حوشناهم بتطلع ايش ال total فهذه another
+
+240
+00:20:13,400 --> 00:20:17,200
+case ل ال decrease by a constant ال constant هنا
+
+241
+00:20:17,200 --> 00:20:21,040
+مرة أخرى هو الاتنين انه كل مرة بنجسم ال problem
+
+242
+00:20:21,040 --> 00:20:23,400
+size على اتنين
+
+243
+00:20:26,310 --> 00:20:32,490
+هو صحيح رقمين احنا بنضربهم في بعض N by M لكن كمية
+
+244
+00:20:32,490 --> 00:20:35,930
+الشغل بتعتمد على الرقم اللي احنا حطناه في الأول
+
+245
+00:20:35,930 --> 00:20:39,250
+الرقم الصغير اللي أخدناه في الأول لإن هو اللي
+
+246
+00:20:39,250 --> 00:20:48,190
+بتقسم على اتنين فهذه مرة أخرى another example اللي
+
+247
+00:20:48,190 --> 00:20:53,010
+هو مجموعة هذي زاد هذي زاد هذيهو نفسه برضه هي ال
+
+248
+00:20:53,010 --> 00:20:58,930
+2018 مع ال 130 .. هو نفسه بس هو زي ما تقولي بدل ما
+
+249
+00:20:58,930 --> 00:21:03,210
+انه يكتبلك يوم هي كده فرح احطهم و احط الخط و جمع
+
+250
+00:21:03,210 --> 00:21:06,470
+واضح؟
+
+251
+00:21:06,470 --> 00:21:12,530
+المسألة ها دي يعني كيف ..لو انت فكرت فيها عمليا و
+
+252
+00:21:12,530 --> 00:21:17,230
+لو الكمبيوتر بده يعمل عملية ضرب لل positive
+
+253
+00:21:17,230 --> 00:21:24,390
+integers هذه بتطلع أسرع من لو يعني ال 65 ضرب 50 في
+
+254
+00:21:24,390 --> 00:21:30,090
+انك انت تجمع ال 65 على نفسها 50 مرة صح؟ هذه أسرع
+
+255
+00:21:30,090 --> 00:21:33,170
+من ان انا اجمع ال 65 على نفسها 50 مرة او اجمع ال
+
+256
+00:21:33,170 --> 00:21:38,230
+50 على نفسها 65 مرة ان انا انافذ ال multiplication
+
+257
+00:21:39,260 --> 00:21:41,740
+بالطريقة هذه أسرع من أنفذ ال multiplication على
+
+258
+00:21:41,740 --> 00:21:45,800
+شكل additions مجموعة additions ليش؟ لأن هنا إيش
+
+259
+00:21:45,800 --> 00:21:50,220
+اللي بيحصل فقط هذا الرقم بيتقسم على اتنين وهذا
+
+260
+00:21:50,220 --> 00:21:52,740
+الرقم بينضرب على .. بينضرب في اتنين وفي الآخر
+
+261
+00:21:52,740 --> 00:21:57,280
+بنعمل تلت عمليات أو أربع عمليات جامعة للإجمالي أو
+
+262
+00:21:57,280 --> 00:22:02,520
+شبه الإجمالي مع ال .. مع اللي حوشناهم عملية القسمة
+
+263
+00:22:02,520 --> 00:22:04,840
+وعملية الضرب عملية القسمة اللي بتحدث على ال N
+
+264
+00:22:04,840 --> 00:22:08,990
+وعملية الضرب اللي بتحدث كلها في اتنينقسم على اتنين
+
+265
+00:22:08,990 --> 00:22:12,570
+وضرب في اتنين في الكمبيوتر الدرب على اتنين و القسم
+
+266
+00:22:12,570 --> 00:22:16,550
+على اتنين لما ننظرها على ال binary level هي عملت
+
+267
+00:22:16,550 --> 00:22:22,970
+shift و لأ الدرب في اتنين هي shift left و القسم
+
+268
+00:22:22,970 --> 00:22:29,010
+على اتنين هي shift right صح؟ يعني انا الخمسين ال
+
+269
+00:22:29,010 --> 00:22:32,030
+binary representation تبعها لما متجسس الخمسين على
+
+270
+00:22:32,030 --> 00:22:37,650
+اتنين بروح بعمل shift right بطلع معايا ال 25Okay
+
+271
+00:22:37,650 --> 00:22:45,130
+فهذه الإجراء أسرع بكتير ان اعمله من ان انافذ ال
+
+272
+00:22:45,130 --> 00:22:49,570
+additions طيب
+
+273
+00:22:49,570 --> 00:22:55,270
+واضح ليش هذه problem عبارة عن decrease by a
+
+274
+00:22:55,270 --> 00:22:57,810
+constant factor وان ال constant factor اللي عندنا
+
+275
+00:22:57,810 --> 00:23:04,830
+هنا هو 2 النص يعني طيب المثال ال problem
+
+276
+00:23:05,860 --> 00:23:08,660
+أو المثال الأخير اللي هو ال fake coin مش الأخير لأ
+
+277
+00:23:08,660 --> 00:23:12,360
+الجبل الأخير ال fake coin puzzle ال fake يعني
+
+278
+00:23:12,360 --> 00:23:18,000
+المزيف ال coin اللي هي قطعة الأملة المعدنية فعلى
+
+279
+00:23:18,000 --> 00:23:22,740
+فرض أنه في عندنا كوم من القطع المتماثلة كلها يعني
+
+280
+00:23:22,740 --> 00:23:28,220
+قولي مثلا انصاص شواكل أو شواكل قبل شوية حكيت أنك
+
+281
+00:23:28,220 --> 00:23:34,940
+شفت كريفتshift lift اه لما انا بحرك shift lift مش
+
+282
+00:23:34,940 --> 00:23:41,800
+بيصير كأني ضربت الرقم في اتنين يعني مثلا خدي
+
+283
+00:23:41,800 --> 00:23:51,760
+هاركيهم
+
+284
+00:23:51,760 --> 00:23:53,960
+لهيك ايش بيصيروا؟
+
+285
+00:24:03,280 --> 00:24:10,600
+هذا كان هنا بده يصير هنا هذي الآن إيش؟ هذي قداش ال
+
+286
+00:24:10,600 --> 00:24:18,300
+value تبعها؟ تلتاش الآن حركناهم اه left إيش صار
+
+287
+00:24:18,300 --> 00:24:30,800
+عندى؟ ستعش و تمانية و اتنين ستة و عشرين اه okay
+
+288
+00:24:31,770 --> 00:24:34,450
+والعكس لو انا بدى اعمل shift right shift right
+
+289
+00:24:34,450 --> 00:24:41,190
+هادي عملها shift right بال C13 مظبوط فهذا في
+
+290
+00:24:41,190 --> 00:24:45,090
+الكمبيوتر سهل جدا انه نعمل الحركة يعني ال
+
+291
+00:24:45,090 --> 00:24:49,110
+processor بقدر يعمل ال shift هادي بسرعة فائقة فانت
+
+292
+00:24:49,110 --> 00:24:52,970
+لما بقوله انه عملية الضغط كلها في الآخر هتصف على
+
+293
+00:24:52,970 --> 00:24:58,030
+عملية shift شمال او shift يمين وعدد محدود log in
+
+294
+00:24:58,870 --> 00:25:04,270
+على معدد محدود من الشفتات هذه فببقاش أسرع بكتير من
+
+295
+00:25:04,270 --> 00:25:08,210
+لو بدي أعملها بالمقارنة أنا بقارن بإيه أشجعت بقارن
+
+296
+00:25:08,210 --> 00:25:12,110
+لو بدي أعمل عملية الضربة شكل جمع تكرار عملية الجمع
+
+297
+00:25:12,110 --> 00:25:17,430
+نرجع تاني لمسألة ال fake coin يقولنا ال fake coin
+
+298
+00:25:17,430 --> 00:25:20,660
+اللي هي على فرض أن في عندي مجموعة من الالقطع
+
+299
+00:25:20,660 --> 00:25:24,940
+المعدنية المتماثلة واحدة منهم مزيفة المزيفة هذه
+
+300
+00:25:24,940 --> 00:25:29,840
+ماقدرش افرجها بالنظر لكن بقى معروف ان وزنها مختلف
+
+301
+00:25:29,840 --> 00:25:35,460
+فعندي طريقة نكتشفها بالميزان بس مش حاجة اوزنهم
+
+302
+00:25:35,460 --> 00:25:40,140
+كلهم بديش اوزنهم كلهم اصلا انا ممكن مش عارف اتجدش
+
+303
+00:25:40,140 --> 00:25:45,340
+اصلا الوزن المعياري عشان اعرف لو واحد جلت عنه هي
+
+304
+00:25:45,340 --> 00:25:50,310
+ولا مش هيفبس انا ايش بقدر اسوي بقدر اهجي اقول انه
+
+305
+00:25:50,310 --> 00:25:55,570
+ال .. قولي مثلا عندي تمانتاشر قطعة بقسمهم جسمين
+
+306
+00:25:55,570 --> 00:25:59,090
+تسعة و تسعة و بحطهم في ميزان حتى الميزان برضه مش
+
+307
+00:25:59,090 --> 00:26:04,450
+إلكتروني يعني ميزان أبو كافتينبحط التسعة هنا
+
+308
+00:26:04,450 --> 00:26:09,610
+والتسعة هنا اللي أجل هي اللي هي الكوم اللي فيها
+
+309
+00:26:09,610 --> 00:26:12,970
+اللي فيها القطعة المزيفة بروح بسيب الكوم هداك و
+
+310
+00:26:12,970 --> 00:26:17,490
+باخد الكوم هذا و بجسمه لجسمين وضلني اوزن لحد ديت
+
+311
+00:26:17,490 --> 00:26:21,250
+ما اصل إلى حالة انه في قطعة واحدة هنا و قطعة واحدة
+
+312
+00:26:21,250 --> 00:26:25,330
+هنا اللي أجل هي المزيفة صح؟ يعني انا بخفض ال
+
+313
+00:26:25,330 --> 00:26:30,190
+problem من ال 18 او من ال N ال original size إلى
+
+314
+00:26:30,190 --> 00:26:36,050
+نص كل مرة مظبوط؟وهذا برضه هينطبق عليه نفس الكلام
+
+315
+00:26:36,050 --> 00:26:45,470
+اللي قلناه قبل هيكه من ناحية ال complexity انه
+
+316
+00:26:45,470 --> 00:26:49,810
+لو عندي انا 18 قطع هيكون ال log تبع ال 18 هو عدد
+
+317
+00:26:49,810 --> 00:26:54,730
+مرات اللي انا بعمل فيهم وزن عدد مرات اللي بأوزن
+
+318
+00:26:54,730 --> 00:27:01,220
+فيهم ممكن أخفض هذا الكلامان انا اقسم الكوم الاصلي
+
+319
+00:27:01,220 --> 00:27:06,780
+او كل كوم بقى اقسمه لتالت اجسام صح ولا اه؟ لو
+
+320
+00:27:06,780 --> 00:27:14,420
+جسمته لتالت اجسام لو
+
+321
+00:27:14,420 --> 00:27:22,980
+جسمته لتلات اقسام متساوية طبعا واخدت
+
+322
+00:27:22,980 --> 00:27:26,520
+اتنين وزنتهم على كفة الميزان
+
+323
+00:27:31,980 --> 00:27:36,080
+الاتنين هدولة إيش احتمال؟ وإنهم يطلعوا متساويين أو
+
+324
+00:27:36,080 --> 00:27:40,440
+واحد منهم أكبر أدجل من التاني إذا متساويين يبجى
+
+325
+00:27:40,440 --> 00:27:44,600
+التالت هو اللي في ال coin اللي مزور إذا هدولة
+
+326
+00:27:44,600 --> 00:27:48,300
+متساويين يبجى هذا على أساس إنه التلاتة عددهم
+
+327
+00:27:48,300 --> 00:27:54,220
+متساوي في العدد إذا .. إذا واحد منهم أدجل من
+
+328
+00:27:54,220 --> 00:27:58,280
+التاني يبجى الخفيف هو اللي فيه المشكلة انا فضط هنا
+
+329
+00:27:58,280 --> 00:28:02,080
+by a factor of تلاتةاللي افترض ان هو هذا اللي فيه
+
+330
+00:28:02,080 --> 00:28:06,640
+المشكلة باخده و بجسمه إلى تلات كوان و نفس الاشي
+
+331
+00:28:06,640 --> 00:28:10,700
+بكرر هنا أسرعت هنا بصير more efficient لما انا
+
+332
+00:28:10,700 --> 00:28:14,500
+جسمهم إلى تلاتة او لو جسمتهم إلى أربعة بصير أسرع
+
+333
+00:28:14,500 --> 00:28:21,000
+بس لو فكرت فيها الأربعة هتبجم عجد شوية لأنه لو انا
+
+334
+00:28:21,000 --> 00:28:25,960
+جسمتهم إلى أربعة و خدت اتنين و طولهم متساويين انا
+
+335
+00:28:25,960 --> 00:28:30,090
+لسه مش عارف اتنين التانين اللي ضايلينمين منهم؟ لسه
+
+336
+00:28:30,090 --> 00:28:36,670
+بيدوزن وزنتين طب لأ ما أخدها جسمين بحيث يطلع نفس
+
+337
+00:28:36,670 --> 00:28:42,310
+ال .. إنما تلاتة لو جسمت لتلاتة بيطلع more
+
+338
+00:28:42,310 --> 00:28:45,270
+efficient ومش محتاج إلا وزن واحدة في كل iteration
+
+339
+00:28:45,270 --> 00:28:52,570
+وزن واحد هنا بيدعمل وزنتين لو جسمتهم لأربعةالان لو
+
+340
+00:28:52,570 --> 00:28:56,550
+بنطلع على ال efficiency لل fake coin نفس الشيء
+
+341
+00:28:56,550 --> 00:29:00,850
+اللي قلناه log in بالنسبة لل complexity برضه بتبقى
+
+342
+00:29:00,850 --> 00:29:06,550
+log in ومافي
+
+343
+00:29:06,550 --> 00:29:13,590
+worst case و best case اخر problem بس نحكي فيه على
+
+344
+00:29:13,590 --> 00:29:16,790
+السريع بس يقولكوا تطلعوا في الكتاب على ال solution
+
+345
+00:29:16,790 --> 00:29:21,090
+تبعها ال problem ببساطة انه احنا في عندنااللي
+
+346
+00:29:21,090 --> 00:29:24,450
+بيسموه جوسيفوس problem على اسم واحد اسمه جوسيفوس
+
+347
+00:29:24,450 --> 00:29:30,270
+يقال ان هذا الراجل كان مع مجموعة في كهف و كانوا
+
+348
+00:29:30,270 --> 00:29:34,990
+هدول قرروا انهم ينتحروا تمام هم كانوا هربين من
+
+349
+00:29:34,990 --> 00:29:41,430
+الرمان و قالوا لك احنا اذا هيك هيك هيقتلونا فهذا
+
+350
+00:29:41,430 --> 00:29:47,000
+الكلامفي الـ66 للـ70 بعد سيدنا المسيح المهم ليناقش
+
+351
+00:29:47,000 --> 00:29:49,840
+نحكي الجثة كلها لكن المهم ان هدول قرروا ان هم
+
+352
+00:29:49,840 --> 00:29:56,260
+ينتحروا بأي طريقة بان هم يقتلوا نفسهم شاف كيف في
+
+353
+00:29:56,260 --> 00:30:01,620
+القرعة كل يعني هم عملوا ترتيب لحالهم وكل واحد بيطل
+
+354
+00:30:01,620 --> 00:30:05,540
+عليه الدور ويروح يقتل مش نفسه بيقتل جاره تمام
+
+355
+00:30:05,540 --> 00:30:12,190
+فالان احنافي الآخر بيظلوا اتنين واحد منهم بيقتل
+
+356
+00:30:12,190 --> 00:30:16,030
+التاني وبعدين يقتل نفسه فهذا الراجل جوسيفوس بيقوله
+
+357
+00:30:16,030 --> 00:30:18,950
+انه يعني هو رتب القرع بحيث انه يطلع هو اخر واحد
+
+358
+00:30:18,950 --> 00:30:23,390
+اخر واحد يظل هو واحد تاني وفعلاً يظل هو واحد تاني
+
+359
+00:30:23,390 --> 00:30:28,130
+وبدل ما يقتله ويقتل حاله او هداك يقتله المهم اقنعه
+
+360
+00:30:28,130 --> 00:30:32,550
+بانهم يسلموا حاله لو اصلا ماكانوش بدوا يسلموا حاله
+
+361
+00:30:32,550 --> 00:30:39,050
+الآن احنا ال problem اللي عندنا هنانفسها بس بتغيير
+
+362
+00:30:39,050 --> 00:30:43,370
+بسيط وهو انه مافيش جرعة انه عملية ال .. القتل هذه
+
+363
+00:30:43,370 --> 00:30:48,270
+او خليني أقول التخلص بدا تبدأ من الشخص الأولاني
+
+364
+00:30:48,270 --> 00:30:51,410
+الشخص الأولاني بديه يقتل جاره الآن التالت بديه
+
+365
+00:30:51,410 --> 00:30:54,810
+يقتل الرابع الخامس بديه يقتل السادس زي هيك يعني لو
+
+366
+00:30:54,810 --> 00:31:00,410
+هم سبعة أشخاص خليني أقول لو هم ست أشخاص هذا بديه
+
+367
+00:31:00,410 --> 00:31:04,290
+يقتل التاني فالتاني بديه يروح في أول دورة التالت
+
+368
+00:31:04,290 --> 00:31:08,510
+بديه يقتل الرابعالان الخامس يقتل السادس هدولة الان
+
+369
+00:31:08,510 --> 00:31:13,650
+في أول دورة اللي عليهم رقم واحد هيروحوا بعد هيك
+
+370
+00:31:13,650 --> 00:31:22,750
+هيجي الان اتنين خمسة هيقتل اتنين تمام او كيف هتيجي
+
+371
+00:31:22,750 --> 00:31:28,510
+بعد ستة sorry لأ بعد ستة هيجي واحد يقتل تلاتة لان
+
+372
+00:31:28,510 --> 00:31:31,350
+هدولة راحوا خلاص لان صارت ال problem محصورة في
+
+373
+00:31:31,350 --> 00:31:36,070
+التلاتة هدولة هدولة راحواOkay واحد مين اللي بعده
+
+374
+00:31:36,070 --> 00:31:40,110
+جاره هي ده وبعدين الخمسة هيبتل واحد هيروح هدول
+
+375
+00:31:40,110 --> 00:31:43,890
+اتنين لحين هيضل خمسة Okay فالان المسألة اللي
+
+376
+00:31:43,890 --> 00:31:47,670
+تبعتنا هنا لما انا اعطيك عدد ستة من ال .. من
+
+377
+00:31:47,670 --> 00:31:53,030
+الأشخاص انت بتقولي لي مين الأخير اللي بيضل ال
+
+378
+00:31:53,030 --> 00:31:57,090
+problem هي انه given a number of خمسة او ستة او n
+
+379
+00:31:57,090 --> 00:32:02,050
+people ايش ترتيب الشخص اللي هيضله اخر واحد Okay
+
+380
+00:32:06,170 --> 00:32:12,690
+فالمسألة هذه في الآخر حصرها انها في كل round عدد
+
+381
+00:32:12,690 --> 00:32:16,690
+الأشخاص اللي هيظلوا نص عدد الأشخاص اللي كانوا okay
+
+382
+00:32:16,690 --> 00:32:22,050
+عشان انا اعرف مين اللي هيظل من تلاتة او من من ستة
+
+383
+00:32:22,050 --> 00:32:25,890
+من ستة كانوا بالعصر ستة بدي اسأل مين اللي هيظل من
+
+384
+00:32:25,890 --> 00:32:33,910
+تلاتة اهاللي يعني هدول كانوا ستة راحوا من التلاتة
+
+385
+00:32:33,910 --> 00:32:39,510
+وضال تلاتة لأن مين اللي هيضال من التلاتة جدش مين
+
+386
+00:32:39,510 --> 00:32:43,090
+اللي هيضال من .. ففي كل في كل round من ال rounds
+
+387
+00:32:43,090 --> 00:32:48,770
+لبط ال problem في عندي أنا عدد بده ينجسم على اتنين
+
+388
+00:32:48,770 --> 00:32:55,250
+و لما اعرف اللي ضال من هدول من هذا النص بقدر اعرف
+
+389
+00:32:55,250 --> 00:32:59,830
+اللي بده يضال من الكلفهذا المشكلة اللي قلت لكم هي
+
+390
+00:32:59,830 --> 00:33:03,250
+حلولها موجودة في الكتاب وموجودة في التقنية وموجودة
+
+391
+00:33:03,250 --> 00:33:09,990
+أيضًا في كمplexityها okay فهذه الأمثلة اللي
+
+392
+00:33:09,990 --> 00:33:14,030
+رأيناها كلها عبارة عن أمثلة على decrease by a
+
+393
+00:33:14,030 --> 00:33:17,850
+factor decrease and conquer by a constant factor
+
+394
+00:33:17,850 --> 00:33:22,170
+يا إما بنجسم على اتنين في الدوام يا إما في أحيان
+
+395
+00:33:22,170 --> 00:33:25,910
+نجسم على تلاتة بس كل الأمثلة اللي رأيناها نجسم على
+
+396
+00:33:25,910 --> 00:33:29,300
+اتنينالمحاضرة الجاية ان شاء الله بنشوف decrease by
+
+397
+00:33:29,300 --> 00:33:32,840
+variable size okay اعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..5f895b1737e633a7550d82abd21828da5aa683a3
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/IsHitQucyt8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4443, "start": 20.89, "end": 44.43, "text": "ماشي بسم الله الرحمن الرحيم الصلاة والسلام على أشرف المرسلين اليوم إن شاء الله بدنا نكمل في موضوع ال decrease and conquer بس بدنا ننتقل إلى ال decrease by a constant factor في ال constant factor هنا ال problem size بيتخفض بمقدار ثابت بمقدار النص أو التلت في كل في كل round أو في كل دورة من دورات ال algorithm", "tokens": [2304, 33599, 1829, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 15844, 5551, 8592, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 36145, 13412, 16606, 21984, 47525, 8315, 8717, 24793, 1211, 8978, 3714, 2407, 11242, 45367, 2423, 11514, 293, 24136, 4724, 3794, 47525, 8315, 8717, 29399, 4587, 1211, 30731, 2423, 11514, 538, 257, 5754, 5952, 8978, 2423, 5754, 5952, 34105, 2423, 1154, 2744, 4724, 36081, 9778, 5172, 11242, 4724, 2304, 28543, 9640, 38637, 16758, 2655, 4724, 2304, 28543, 9640, 28239, 9381, 34051, 16712, 1211, 2655, 8978, 28242, 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0.927978515625}, {"start": 782.26, "end": 782.64, "word": " L", "probability": 0.6220703125}, {"start": 782.64, "end": 783.14, "word": " بتساوي", "probability": 0.8541259765625}, {"start": 783.14, "end": 783.54, "word": " head", "probability": 0.74462890625}, {"start": 783.54, "end": 784.6, "word": " ماشي", "probability": 0.6483561197916666}, {"start": 784.6, "end": 784.82, "word": " طيب", "probability": 0.721435546875}, {"start": 784.82, "end": 785.08, "word": " R", "probability": 0.61572265625}, {"start": 785.08, "end": 785.22, "word": " ايش", "probability": 0.7257486979166666}, {"start": 785.22, "end": 786.74, "word": " بتساوي؟", "probability": 0.8288330078125}, {"start": 786.74, "end": 787.08, "word": " انا", "probability": 0.7469482421875}, {"start": 787.08, "end": 787.74, "word": " ممكن", "probability": 0.9423828125}, {"start": 787.74, "end": 787.94, "word": " يكون", "probability": 0.92333984375}, {"start": 787.94, "end": 788.18, "word": " عندي", "probability": 0.9267578125}, {"start": 788.18, "end": 788.4, "word": " tail", "probability": 0.9189453125}, {"start": 788.4, "end": 788.64, "word": " وممكن", "probability": 0.80419921875}, {"start": 788.64, "end": 789.16, "word": " يكونش", "probability": 0.6348470052083334}, {"start": 789.16, "end": 789.52, "word": " عندي", "probability": 0.890380859375}, {"start": 789.52, "end": 790.3, "word": " ممكن", "probability": 0.95703125}, {"start": 790.3, "end": 790.8, "word": " اضطر", "probability": 0.9017333984375}, {"start": 790.8, "end": 791.24, "word": " اني", "probability": 0.7890625}, {"start": 791.24, "end": 791.62, "word": " ألف", "probability": 0.7030029296875}, {"start": 791.62, "end": 791.96, "word": " ال", "probability": 0.857421875}, {"start": 791.96, "end": 792.3, "word": " linked", "probability": 0.9267578125}, {"start": 792.3, "end": 792.6, "word": " list", "probability": 0.951171875}, {"start": 792.6, "end": 793.06, "word": " كلها", "probability": 0.91357421875}, {"start": 793.06, "end": 793.3, "word": " عشان", "probability": 0.9822591145833334}, {"start": 793.3, "end": 793.6, "word": " اجيب", "probability": 0.9141845703125}, {"start": 793.6, "end": 793.7, "word": " ال", "probability": 0.96875}, {"start": 793.7, "end": 794.04, "word": " pointer", "probability": 0.892578125}, {"start": 794.04, "end": 794.32, "word": " تبع", "probability": 0.8727213541666666}, {"start": 794.32, "end": 794.7, "word": " اخر", "probability": 0.768310546875}, {"start": 794.7, "end": 796.32, "word": " صح؟", "probability": 0.81884765625}, {"start": 796.32, "end": 796.68, "word": " اخر", "probability": 0.851806640625}, {"start": 796.68, "end": 798.36, "word": " أنصار", "probability": 0.7757161458333334}, {"start": 798.36, "end": 798.62, "word": " ولا", "probability": 0.74365234375}, {"start": 798.62, "end": 799.98, "word": " لا؟", "probability": 0.605712890625}, {"start": 799.98, "end": 800.22, "word": " هذه", "probability": 0.45166015625}, {"start": 800.22, "end": 800.52, "word": " الشغلة", "probability": 0.7089029947916666}, {"start": 800.52, "end": 800.82, "word": " الشغلة", "probability": 0.9285481770833334}, {"start": 800.82, "end": 801.1, "word": " التانية", "probability": 0.9000651041666666}, {"start": 801.1, "end": 801.26, "word": " بدي", "probability": 0.6407470703125}, {"start": 801.26, "end": 801.5, "word": " اجيب", "probability": 0.928466796875}, {"start": 801.5, "end": 801.6, "word": " ال", "probability": 0.94580078125}, {"start": 801.6, "end": 801.9, "word": " M", "probability": 0.74853515625}, {"start": 801.9, "end": 802.82, "word": " كيف", "probability": 0.89013671875}, {"start": 802.82, "end": 802.92, "word": " بدي", "probability": 0.9677734375}, {"start": 802.92, "end": 804.06, "word": " اجيبه؟", "probability": 0.9315592447916666}, {"start": 804.06, "end": 804.48, "word": " بدي", "probability": 0.9541015625}, {"start": 804.48, "end": 805.32, "word": " اعدهم", "probability": 0.9161783854166666}, {"start": 805.32, "end": 806.32, "word": " يعني", "probability": 0.95849609375}, {"start": 806.32, "end": 806.56, "word": " وانا", "probability": 0.81982421875}, {"start": 806.56, "end": 806.92, "word": " بلف", "probability": 0.911376953125}, {"start": 806.92, "end": 807.18, "word": " بدي", "probability": 0.549560546875}, {"start": 807.18, "end": 807.4, "word": " ابقى", "probability": 0.786376953125}, {"start": 807.4, "end": 807.66, "word": " قاعد", "probability": 0.9132486979166666}, {"start": 807.66, "end": 808.02, "word": " بعد", "probability": 0.864990234375}], "temperature": 1.0}, {"id": 31, "seek": 82960, "start": 808.78, "end": 829.6, "text": "لما اعرف ال total تبعهم بده اجسم على اتنين عرفت انه الاصر ستة بده ارجع من البداية من اول من ال head و انتجل ست nodes عشان اصل لمن لل middle جثة طويلة over head كتير عشان لسه ابدا اصل للمقارنة", "tokens": [1211, 15042, 1975, 3615, 28480, 2423, 3217, 6055, 3555, 3615, 16095, 47525, 3224, 1975, 7435, 38251, 15844, 1975, 2655, 1863, 9957, 6225, 28480, 2655, 16472, 3224, 2423, 33546, 2288, 8608, 2655, 3660, 47525, 3224, 1975, 47341, 3615, 9154, 29739, 28259, 10632, 9154, 1975, 12610, 9154, 2423, 1378, 4032, 16472, 2655, 7435, 1211, 8608, 2655, 13891, 6225, 8592, 7649, 1975, 36520, 5296, 27842, 24976, 2808, 10874, 12984, 3660, 23032, 2407, 26895, 3660, 670, 1378, 9122, 2655, 13546, 6225, 8592, 7649, 5296, 3794, 3224, 48127, 28259, 1975, 36520, 5296, 19528, 4587, 9640, 1863, 3660], "avg_logprob": -0.2867943574023503, "compression_ratio": 1.6613756613756614, "no_speech_prob": 0.0, "words": [{"start": 808.78, "end": 809.06, "word": "لما", "probability": 0.6151123046875}, {"start": 809.06, "end": 809.42, "word": " اعرف", "probability": 0.6570638020833334}, {"start": 809.42, "end": 809.56, "word": " ال", "probability": 0.76513671875}, {"start": 809.56, "end": 809.82, "word": " total", "probability": 0.6337890625}, {"start": 809.82, "end": 810.42, "word": " تبعهم", "probability": 0.80810546875}, {"start": 810.42, "end": 810.82, "word": " بده", "probability": 0.32586669921875}, {"start": 810.82, "end": 811.08, "word": " اجسم", "probability": 0.85107421875}, {"start": 811.08, "end": 811.28, "word": " على", "probability": 0.5869140625}, {"start": 811.28, "end": 811.7, "word": " اتنين", "probability": 0.9124755859375}, {"start": 811.7, "end": 812.56, "word": " عرفت", "probability": 0.748046875}, {"start": 812.56, "end": 812.86, "word": " انه", "probability": 0.78857421875}, {"start": 812.86, "end": 813.3, "word": " الاصر", "probability": 0.6149088541666666}, {"start": 813.3, "end": 814.0, "word": " ستة", "probability": 0.7782389322916666}, {"start": 814.0, "end": 814.54, "word": " بده", "probability": 0.80029296875}, {"start": 814.54, "end": 814.92, "word": " ارجع", "probability": 0.9563802083333334}, {"start": 814.92, "end": 815.1, "word": " من", "probability": 0.9921875}, {"start": 815.1, "end": 815.8, "word": " البداية", "probability": 0.9005533854166666}, {"start": 815.8, "end": 817.46, "word": " من", "probability": 0.84521484375}, {"start": 817.46, "end": 817.78, "word": " اول", "probability": 0.77978515625}, {"start": 817.78, "end": 817.94, "word": " من", "probability": 0.93701171875}, {"start": 817.94, "end": 818.1, "word": " ال", "probability": 0.98974609375}, {"start": 818.1, "end": 818.32, "word": " head", "probability": 0.75830078125}, {"start": 818.32, "end": 818.54, "word": " و", "probability": 0.94921875}, {"start": 818.54, "end": 818.92, "word": " انتجل", "probability": 0.70172119140625}, {"start": 818.92, "end": 819.42, "word": " ست", "probability": 0.888916015625}, {"start": 819.42, "end": 820.66, "word": " nodes", "probability": 0.332275390625}, {"start": 820.66, "end": 821.28, "word": " عشان", "probability": 0.962890625}, {"start": 821.28, "end": 821.62, "word": " اصل", "probability": 0.86669921875}, {"start": 821.62, "end": 821.88, "word": " لمن", "probability": 0.4937744140625}, {"start": 821.88, "end": 822.06, "word": " لل", "probability": 0.239013671875}, {"start": 822.06, "end": 822.4, "word": " middle", "probability": 0.97265625}, {"start": 822.4, "end": 823.46, "word": " جثة", "probability": 0.74609375}, {"start": 823.46, "end": 824.16, "word": " طويلة", "probability": 0.964111328125}, {"start": 824.16, "end": 824.42, "word": " over", "probability": 0.294921875}, {"start": 824.42, "end": 824.78, "word": " head", "probability": 0.7333984375}, {"start": 824.78, "end": 825.32, "word": " كتير", "probability": 0.96630859375}, {"start": 825.32, "end": 826.66, "word": " عشان", "probability": 0.8494466145833334}, {"start": 826.66, "end": 827.3, "word": " لسه", "probability": 0.9567057291666666}, {"start": 827.3, "end": 827.96, "word": " ابدا", "probability": 0.688232421875}, {"start": 827.96, "end": 828.78, "word": " اصل", "probability": 0.906494140625}, {"start": 828.78, "end": 829.6, "word": " للمقارنة", "probability": 0.923095703125}], "temperature": 1.0}, {"id": 32, "seek": 85832, "start": 830.38, "end": 858.32, "text": "و بعد هيك كل الكلام هذا بدي اكرر كل مرة فال algorithm دي ال limitation تبعها انها محكومة بس بال array و ال array تبقى sorted linked list بيبقى صعب كتير خلاص النقطتين هدولة بس ملاحظتين على ال binary ال problem اللي بعد هيك ال problem اللي بعد هيك ليه ال exponentiation by squaring احنا", "tokens": [2407, 39182, 39896, 4117, 28242, 2423, 28820, 10943, 23758, 4724, 16254, 1975, 37983, 2288, 28242, 3714, 25720, 6156, 6027, 9284, 11778, 1829, 2423, 27432, 6055, 3555, 3615, 11296, 16472, 11296, 3714, 5016, 4117, 20498, 3660, 4724, 3794, 20666, 10225, 4032, 2423, 10225, 6055, 3555, 4587, 7578, 25462, 9408, 1329, 4724, 1829, 3555, 4587, 7578, 20328, 3615, 3555, 9122, 2655, 13546, 16490, 1211, 33546, 28239, 47432, 2655, 9957, 8032, 3215, 12610, 3660, 4724, 3794, 3714, 15040, 5016, 19913, 2655, 9957, 15844, 2423, 17434, 2423, 1154, 13672, 1829, 39182, 39896, 4117, 2423, 1154, 13672, 1829, 39182, 39896, 4117, 32239, 3224, 2423, 37871, 6642, 538, 2339, 1921, 1975, 5016, 8315], "avg_logprob": -0.18619791183758666, "compression_ratio": 1.7489711934156378, "no_speech_prob": 0.0, "words": [{"start": 830.38, "end": 830.58, "word": "و", "probability": 0.499267578125}, {"start": 830.58, "end": 830.8, "word": " بعد", "probability": 0.71337890625}, {"start": 830.8, "end": 831.14, "word": " هيك", "probability": 0.6947021484375}, {"start": 831.14, "end": 831.62, "word": " كل", "probability": 0.54443359375}, {"start": 831.62, "end": 832.26, "word": " الكلام", "probability": 0.9138997395833334}, {"start": 832.26, "end": 832.44, "word": " هذا", "probability": 0.78076171875}, {"start": 832.44, "end": 832.76, "word": " بدي", "probability": 0.572021484375}, {"start": 832.76, "end": 833.28, "word": " اكرر", "probability": 0.7831217447916666}, {"start": 833.28, "end": 833.56, "word": " كل", "probability": 0.71435546875}, {"start": 833.56, "end": 833.96, "word": " مرة", "probability": 0.989990234375}, {"start": 833.96, "end": 835.24, "word": " فال", "probability": 0.830810546875}, {"start": 835.24, "end": 836.68, "word": " algorithm", "probability": 0.580078125}, {"start": 836.68, "end": 837.78, "word": " دي", "probability": 0.724853515625}, {"start": 837.78, "end": 838.38, "word": " ال", "probability": 0.59765625}, {"start": 838.38, "end": 838.78, "word": " limitation", "probability": 0.712890625}, {"start": 838.78, "end": 839.28, "word": " تبعها", "probability": 0.8668212890625}, {"start": 839.28, "end": 839.56, "word": " انها", "probability": 0.807861328125}, {"start": 839.56, "end": 840.02, "word": " محكومة", "probability": 0.92099609375}, {"start": 840.02, "end": 840.28, "word": " بس", "probability": 0.98388671875}, {"start": 840.28, "end": 840.56, "word": " بال", "probability": 0.67041015625}, {"start": 840.56, "end": 841.34, "word": " array", "probability": 0.80810546875}, {"start": 841.34, "end": 841.56, "word": " و", "probability": 0.6923828125}, {"start": 841.56, "end": 841.68, "word": " ال", "probability": 0.86328125}, {"start": 841.68, "end": 841.88, "word": " array", "probability": 0.96240234375}, {"start": 841.88, "end": 842.18, "word": " تبقى", "probability": 0.9395751953125}, {"start": 842.18, "end": 842.56, "word": " sorted", "probability": 0.95703125}, {"start": 842.56, "end": 843.5, "word": " linked", "probability": 0.485595703125}, {"start": 843.5, "end": 843.94, "word": " list", "probability": 0.9345703125}, {"start": 843.94, "end": 844.74, "word": " بيبقى", "probability": 0.9373046875}, {"start": 844.74, "end": 845.02, "word": " صعب", "probability": 0.99169921875}, {"start": 845.02, "end": 845.36, "word": " كتير", "probability": 0.9309895833333334}, {"start": 845.36, "end": 846.0, "word": " خلاص", "probability": 0.9640299479166666}, {"start": 846.0, "end": 846.42, "word": " النقطتين", "probability": 0.8770751953125}, {"start": 846.42, "end": 846.98, "word": " هدولة", "probability": 0.8736572265625}, {"start": 846.98, "end": 847.28, "word": " بس", "probability": 0.988037109375}, {"start": 847.28, "end": 847.9, "word": " ملاحظتين", "probability": 0.9664713541666666}, {"start": 847.9, "end": 848.14, "word": " على", "probability": 0.876953125}, {"start": 848.14, "end": 849.06, "word": " ال", "probability": 0.97802734375}, {"start": 849.06, "end": 849.78, "word": " binary", "probability": 0.6376953125}, {"start": 849.78, "end": 850.18, "word": " ال", "probability": 0.12469482421875}, {"start": 850.18, "end": 851.22, "word": " problem", "probability": 0.76220703125}, {"start": 851.22, "end": 851.42, "word": " اللي", "probability": 0.962158203125}, {"start": 851.42, "end": 851.64, "word": " بعد", "probability": 0.9599609375}, {"start": 851.64, "end": 852.04, "word": " هيك", "probability": 0.983642578125}, {"start": 852.04, "end": 853.72, "word": " ال", "probability": 0.9130859375}, {"start": 853.72, "end": 854.08, "word": " problem", "probability": 0.93603515625}, {"start": 854.08, "end": 854.22, "word": " اللي", "probability": 0.98681640625}, {"start": 854.22, "end": 854.38, "word": " بعد", "probability": 0.93310546875}, {"start": 854.38, "end": 854.58, "word": " هيك", "probability": 0.9912109375}, 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"probability": 0.88818359375}, {"start": 1349.27, "end": 1349.91, "word": " representation", "probability": 0.94921875}, {"start": 1349.91, "end": 1350.49, "word": " تبعها", "probability": 0.9232177734375}, {"start": 1350.49, "end": 1351.11, "word": " لما", "probability": 0.9873046875}, {"start": 1351.11, "end": 1351.45, "word": " متجسس", "probability": 0.759063720703125}, {"start": 1351.45, "end": 1351.85, "word": " الخمسين", "probability": 0.9501953125}, {"start": 1351.85, "end": 1352.03, "word": " على", "probability": 0.89697265625}, {"start": 1352.03, "end": 1352.47, "word": " اتنين", "probability": 0.9925537109375}, {"start": 1352.47, "end": 1353.05, "word": " بروح", "probability": 0.8572591145833334}, {"start": 1353.05, "end": 1353.71, "word": " بعمل", "probability": 0.7442220052083334}, {"start": 1353.71, "end": 1353.97, "word": " shift", "probability": 0.9873046875}, {"start": 1353.97, "end": 1354.33, "word": " right", "probability": 0.9443359375}, {"start": 1354.33, "end": 1354.73, "word": " بطلع", "probability": 0.85205078125}, {"start": 1354.73, "end": 1355.13, "word": " معايا", "probability": 0.9446614583333334}, {"start": 1355.13, "end": 1355.79, "word": " ال", "probability": 0.6728515625}, {"start": 1355.79, "end": 1356.19, "word": " 25", "probability": 0.6669921875}], "temperature": 1.0}, {"id": 51, "seek": 138483, "start": 1357.29, "end": 1384.83, "text": "Okay فهذه الإجراء أسرع بكتير ان اعمله من ان انافذ ال additions طيب واضح ليش هذه problem عبارة عن decrease by a constant factor وان ال constant factor اللي عندنا هنا هو 2 النص يعني طيب المثال ال problem", "tokens": [8297, 6156, 3224, 24192, 33688, 7435, 2288, 16606, 5551, 3794, 2288, 3615, 4724, 4117, 2655, 13546, 16472, 1975, 25957, 43761, 9154, 16472, 1975, 8315, 5172, 8848, 2423, 35113, 23032, 1829, 3555, 4032, 46958, 5016, 32239, 8592, 29538, 1154, 6225, 3555, 9640, 3660, 18871, 11514, 538, 257, 5754, 5952, 4032, 7649, 2423, 5754, 5952, 13672, 1829, 43242, 8315, 34105, 31439, 568, 28239, 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"end": 1387.18, "word": " هو", "probability": 0.99462890625}, {"start": 1387.18, "end": 1387.32, "word": " ال", "probability": 0.87939453125}, {"start": 1387.32, "end": 1387.5, "word": " fake", "probability": 0.6826171875}, {"start": 1387.5, "end": 1387.88, "word": " coin", "probability": 0.92578125}, {"start": 1387.88, "end": 1388.18, "word": " مش", "probability": 0.7470703125}, {"start": 1388.18, "end": 1388.52, "word": " الأخير", "probability": 0.8009440104166666}, {"start": 1388.52, "end": 1388.66, "word": " لأ", "probability": 0.8564453125}, {"start": 1388.66, "end": 1388.9, "word": " الجبل", "probability": 0.5968017578125}, {"start": 1388.9, "end": 1389.28, "word": " الأخير", "probability": 0.702880859375}, {"start": 1389.28, "end": 1389.94, "word": " ال", "probability": 0.8837890625}, {"start": 1389.94, "end": 1390.18, "word": " fake", "probability": 0.90380859375}, {"start": 1390.18, "end": 1390.48, "word": " coin", "probability": 0.93017578125}, {"start": 1390.48, "end": 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1403.3, "word": " مثلا", "probability": 0.980224609375}, {"start": 1403.3, "end": 1404.08, "word": " انصاص", "probability": 0.7838541666666666}, {"start": 1404.08, "end": 1404.52, "word": " شواكل", "probability": 0.80078125}, {"start": 1404.52, "end": 1404.64, "word": " أو", "probability": 0.8193359375}, {"start": 1404.64, "end": 1405.72, "word": " شواكل", "probability": 0.9259440104166666}, {"start": 1405.72, "end": 1407.26, "word": " قبل", "probability": 0.810791015625}, {"start": 1407.26, "end": 1407.56, "word": " شوية", "probability": 0.7108154296875}, {"start": 1407.56, "end": 1407.94, "word": " حكيت", "probability": 0.8671875}, {"start": 1407.94, "end": 1408.22, "word": " أنك", "probability": 0.336181640625}, {"start": 1408.22, "end": 1408.5, "word": " شفت", "probability": 0.8136393229166666}, {"start": 1408.5, "end": 1408.98, "word": " كريفت", "probability": 0.489532470703125}], "temperature": 1.0}, {"id": 53, "seek": 143396, "start": 1410.48, "end": 1433.96, "text": "shift lift اه لما انا بحرك shift lift مش بيصير كأني ضربت الرقم في اتنين يعني مثلا خدي هاركيهم لهيك ايش بيصيروا؟", "tokens": [47445, 5533, 1975, 3224, 5296, 15042, 1975, 8315, 4724, 5016, 31747, 5513, 5533, 37893, 4724, 1829, 9381, 13546, 9122, 33456, 1829, 48812, 25513, 2655, 34892, 4587, 2304, 8978, 1975, 2655, 1863, 9957, 37495, 22653, 50113, 15040, 16490, 16254, 8032, 9640, 4117, 1829, 16095, 46740, 1829, 4117, 1975, 1829, 8592, 4724, 1829, 9381, 13546, 14407, 22807], "avg_logprob": -0.23200335380222117, "compression_ratio": 1.4186046511627908, "no_speech_prob": 0.0, "words": [{"start": 1410.48, "end": 1410.94, "word": "shift", "probability": 0.6376953125}, {"start": 1410.94, "end": 1411.32, "word": " lift", "probability": 0.2352294921875}, {"start": 1411.32, "end": 1411.84, "word": " اه", "probability": 0.7890625}, {"start": 1411.84, "end": 1412.36, "word": " لما", "probability": 0.904052734375}, {"start": 1412.36, "end": 1412.56, "word": " انا", "probability": 0.7471923828125}, {"start": 1412.56, "end": 1413.04, "word": " بحرك", "probability": 0.9729817708333334}, {"start": 1413.04, "end": 1413.6, "word": " shift", "probability": 0.9619140625}, {"start": 1413.6, "end": 1414.06, "word": " lift", "probability": 0.8505859375}, {"start": 1414.06, "end": 1414.94, "word": " مش", "probability": 0.75830078125}, {"start": 1414.94, "end": 1415.38, "word": " بيصير", "probability": 0.83203125}, {"start": 1415.38, "end": 1416.14, "word": " كأني", "probability": 0.6127115885416666}, {"start": 1416.14, "end": 1416.44, "word": " ضربت", "probability": 0.9713541666666666}, {"start": 1416.44, "end": 1416.66, "word": " الرقم", "probability": 0.9130859375}, {"start": 1416.66, "end": 1416.76, "word": " في", "probability": 0.5810546875}, {"start": 1416.76, "end": 1417.08, "word": " اتنين", "probability": 0.9412841796875}, {"start": 1417.08, "end": 1419.64, "word": " يعني", "probability": 0.848876953125}, {"start": 1419.64, "end": 1420.04, "word": " مثلا", "probability": 0.97314453125}, 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5.960464477539063e-08, "words": [{"start": 1977.47, "end": 1978.19, "word": "فهذا", "probability": 0.7810872395833334}, {"start": 1978.19, "end": 1978.63, "word": " المشكلة", "probability": 0.743255615234375}, {"start": 1978.63, "end": 1978.81, "word": " اللي", "probability": 0.4945068359375}, {"start": 1978.81, "end": 1979.41, "word": " قلت", "probability": 0.5985514322916666}, {"start": 1979.41, "end": 1979.57, "word": " لكم", "probability": 0.423828125}, {"start": 1979.57, "end": 1979.83, "word": " هي", "probability": 0.27294921875}, {"start": 1979.83, "end": 1980.51, "word": " حلولها", "probability": 0.38848114013671875}, {"start": 1980.51, "end": 1981.07, "word": " موجودة", "probability": 0.76416015625}, {"start": 1981.07, "end": 1981.09, "word": " في", "probability": 0.91552734375}, {"start": 1981.09, "end": 1981.41, "word": " الكتاب", "probability": 0.9586588541666666}, {"start": 1981.41, "end": 1981.89, "word": " وموجودة", "probability": 0.744189453125}, {"start": 1981.89, 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0.9111328125}, {"start": 1990.81, "end": 1991.15, "word": " عبارة", "probability": 0.7957763671875}, {"start": 1991.15, "end": 1991.27, "word": " عن", "probability": 0.9921875}, {"start": 1991.27, "end": 1991.67, "word": " أمثلة", "probability": 0.957763671875}, {"start": 1991.67, "end": 1992.05, "word": " على", "probability": 0.857421875}, {"start": 1992.05, "end": 1993.23, "word": " decrease", "probability": 0.123291015625}, {"start": 1993.23, "end": 1993.81, "word": " by", "probability": 0.7001953125}, {"start": 1993.81, "end": 1994.03, "word": " a", "probability": 0.89501953125}, {"start": 1994.03, "end": 1994.49, "word": " factor", "probability": 0.90478515625}, {"start": 1994.49, "end": 1995.15, "word": " decrease", "probability": 0.71923828125}, {"start": 1995.15, "end": 1995.43, "word": " and", "probability": 0.8701171875}, {"start": 1995.43, "end": 1995.83, "word": " conquer", "probability": 0.93359375}, {"start": 1995.83, "end": 1996.59, "word": " by", "probability": 0.96337890625}, {"start": 1996.59, "end": 1996.83, "word": " a", "probability": 0.9384765625}, {"start": 1996.83, "end": 1997.29, "word": " constant", "probability": 0.94287109375}, {"start": 1997.29, "end": 1997.85, "word": " factor", "probability": 0.8974609375}, {"start": 1997.85, "end": 1998.07, "word": " يا", "probability": 0.4541015625}, {"start": 1998.07, "end": 1998.41, "word": " إما", "probability": 0.892578125}, {"start": 1998.41, "end": 2000.41, "word": " بنجسم", "probability": 0.7371419270833334}, {"start": 2000.41, "end": 2000.59, "word": " على", "probability": 0.81298828125}, {"start": 2000.59, "end": 2000.93, "word": " اتنين", "probability": 0.7576904296875}, {"start": 2000.93, "end": 2001.07, "word": " في", "probability": 0.96826171875}, {"start": 2001.07, "end": 2001.43, "word": " الدوام", "probability": 0.9147135416666666}, {"start": 2001.43, "end": 2001.59, "word": " يا", "probability": 0.66552734375}, {"start": 2001.59, "end": 2001.73, "word": " إما", "probability": 0.973876953125}, {"start": 2001.73, "end": 2001.89, "word": " في", "probability": 0.446044921875}, {"start": 2001.89, "end": 2002.17, "word": " أحيان", "probability": 0.934326171875}, {"start": 2002.17, "end": 2002.49, "word": " نجسم", "probability": 0.788818359375}, {"start": 2002.49, "end": 2002.59, "word": " على", "probability": 0.9326171875}, {"start": 2002.59, "end": 2003.03, "word": " تلاتة", "probability": 0.95458984375}, {"start": 2003.03, "end": 2003.47, "word": " بس", "probability": 0.687255859375}, {"start": 2003.47, "end": 2003.71, "word": " كل", "probability": 0.85546875}, {"start": 2003.71, "end": 2004.93, "word": " الأمثلة", "probability": 0.9307861328125}, {"start": 2004.93, "end": 2005.07, "word": " اللي", "probability": 0.974365234375}, {"start": 2005.07, "end": 2005.37, "word": " رأيناها", "probability": 0.98212890625}, {"start": 2005.37, "end": 2005.69, "word": " نجسم", "probability": 0.7042236328125}, {"start": 2005.69, "end": 2005.91, "word": " على", "probability": 0.484619140625}, {"start": 2005.91, "end": 2006.25, "word": " اتنين", "probability": 0.9486083984375}], "temperature": 1.0}, {"id": 75, "seek": 201284, "start": 2007.12, "end": 2012.84, "text": "المحاضرة الجاية ان شاء الله بنشوف decrease by variable size okay اعطيكم العافية", "tokens": [45340, 5016, 46958, 25720, 25724, 995, 10632, 16472, 13412, 16606, 21984, 44945, 8592, 38688, 11514, 538, 7006, 2744, 1392, 1975, 3615, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.27260044110672815, "compression_ratio": 1.1111111111111112, "no_speech_prob": 0.0, "words": [{"start": 2007.12, "end": 2007.76, "word": "المحاضرة", "probability": 0.963134765625}, {"start": 2007.76, "end": 2007.98, "word": " الجاية", "probability": 0.5804850260416666}, {"start": 2007.98, "end": 2008.04, "word": " ان", "probability": 0.447265625}, {"start": 2008.04, "end": 2008.22, "word": " شاء", "probability": 0.97412109375}, {"start": 2008.22, "end": 2008.3, "word": " الله", "probability": 0.97216796875}, {"start": 2008.3, "end": 2008.74, "word": " بنشوف", "probability": 0.9256184895833334}, {"start": 2008.74, "end": 2009.1, "word": " decrease", "probability": 0.437255859375}, {"start": 2009.1, "end": 2009.3, "word": " by", "probability": 0.89697265625}, {"start": 2009.3, "end": 2009.62, "word": " variable", "probability": 0.81103515625}, {"start": 2009.62, "end": 2010.12, "word": " size", "probability": 0.853515625}, {"start": 2010.12, "end": 2011.86, "word": " okay", "probability": 0.26171875}, {"start": 2011.86, "end": 2012.52, "word": " اعطيكم", "probability": 0.74169921875}, {"start": 2012.52, "end": 2012.84, "word": " العافية", "probability": 0.9617513020833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2012.8914375, "duration_after_vad": 1932.5824999999957}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/L5NUOstkrjU.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/L5NUOstkrjU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..62faf56c0934d64d2effc828ae4e7a0ff53e905c
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/L5NUOstkrjU.srt
@@ -0,0 +1,1429 @@
+1
+00:00:21,290 --> 00:00:23,430
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,430 --> 00:00:27,390
+المرسلين، اليوم إن شاء الله نكمل من حيث وقفنا
+
+3
+00:00:27,390 --> 00:00:30,250
+المحاضرة الماضية، في موضوع الـ space and time trade
+
+4
+00:00:30,250 --> 00:00:34,410
+-offs، وكان الحديث لا يزال في الـ input enhancement
+
+5
+00:00:34,410 --> 00:00:41,130
+النوع الأول من الـ trade-offs، وبالتحديد، خلصنا الذي
+
+6
+00:00:41,130 --> 00:00:46,330
+هو الـ algorithm، الـ Horspool algorithm، التي هي
+
+7
+00:00:46,330 --> 00:00:50,950
+الـ string matching، ماشي، الـ Horspool algorithm
+
+8
+00:00:50,950 --> 00:00:57,850
+شوفنا عليها مثالا، المثال هذا كان أنه احنا عندنا
+
+9
+00:00:57,850 --> 00:01:01,930
+كلمة barber، واحنا بدنا نعمل عملية البحث في
+
+10
+00:01:01,930 --> 00:01:08,130
+هذا الـ input أو في هذا الـ string، وشوفنا كيف أنه الـ
+
+11
+00:01:08,130 --> 00:01:12,890
+Horspool algorithm تعتمد على الـ shift table
+
+12
+00:01:17,370 --> 00:01:25,290
+وبشكل آلي، أنهُ حيثما يحدث عدم المطابقة، فلما بتحدث
+
+13
+00:01:25,290 --> 00:01:32,010
+عدم المطابقة، نروح على الحرف المقابل لنهاية الـ
+
+14
+00:01:32,010 --> 00:01:36,870
+pattern، بنعمل look up في الـ table، بيحدد لنا مقدار الـ
+
+15
+00:01:36,870 --> 00:01:41,190
+shift، ونستمر في هذا الأمر إلى أن نجد أو أنهُ
+
+16
+00:01:41,190 --> 00:01:47,210
+نلاقي أو أنه لا نلاقي الـ pattern، اليوم إن شاء الله
+
+17
+00:01:47,210 --> 00:01:50,690
+ننتقل إلى الـ algorithm الثاني في الـ string
+
+18
+00:01:50,690 --> 00:01:56,910
+matching، اللي هي الـ Boyer Moore algorithm، تتشابه
+
+19
+00:01:56,910 --> 00:02:02,130
+مع الـ Horspool algorithm في جوانب، وتختلف عنها
+
+20
+00:02:02,130 --> 00:02:07,870
+في جوانب، التشابه أنهُ نفس الاستراتيجية، أننا
+
+21
+00:02:07,870 --> 00:02:16,730
+نبدأ المقارنة من يمين الـ pattern، Okay، الاختلاف هو
+
+22
+00:02:16,730 --> 00:02:23,790
+نقطتين أساسيتين، أولا، في عندي جدولين، مش جدول واحد، في
+
+23
+00:02:23,790 --> 00:02:28,110
+الـ Boyer Moore، في جدول مشابه للجدول المستخدم في الـ
+
+24
+00:02:28,110 --> 00:02:32,840
+Horspool، الذي نسميه الآن هنا، كما
+
+25
+00:02:32,840 --> 00:02:37,660
+نسميه shift table، ما فيش وصفه إلا هيك، بس هنا لأنهُ
+
+26
+00:02:37,660 --> 00:02:41,600
+في عنده two tables، فبده يميز، هذا هنا اسمه الـ bad
+
+27
+00:02:41,600 --> 00:02:47,540
+symbol table، الـ bad symbol table، ببساطة شديدة، على
+
+28
+00:02:47,540 --> 00:02:53,320
+أساس أن المطابقة حدثت أو عدم المطابقة حدثت
+
+29
+00:02:55,650 --> 00:03:01,470
+أثناء المقارنة، يعني الرمز الذي حصل عنده
+
+30
+00:03:01,470 --> 00:03:10,210
+عدم المطابقة، نروح على الـ table، ونشوف قد ايش
+
+31
+00:03:10,210 --> 00:03:14,230
+نعمل shift، بس
+
+32
+00:03:14,230 --> 00:03:18,830
+هذا ليس الـ table الوحيد، فيه table ثاني، فاحنا
+
+33
+00:03:18,830 --> 00:03:25,050
+نسميهم T1 و T2، في واقع الأمر أنا في عندي
+
+34
+00:03:25,050 --> 00:03:30,570
+برضه كمان distance واحد و distance اثنين، خلينا نركز
+
+35
+00:03:30,570 --> 00:03:34,290
+على distance واحد، ونقول أن مقدار الـ shift الذي
+
+36
+00:03:34,290 --> 00:03:37,310
+يُراد فعلا في النهاية، في نهاية المطاف، في الـ algorithm
+
+37
+00:03:37,310 --> 00:03:42,550
+يقفز، ماشي، سيكون إما distance واحد أو distance اثنين
+
+38
+00:03:42,550 --> 00:03:47,590
+وهذه الـ distance one و distance two جايين كالتالي:
+
+39
+00:03:47,590 --> 00:03:48,090
+أن
+
+40
+00:03:54,140 --> 00:03:59,800
+Distance واحد هي عبارة عن الفرق ما بين قيمة الـ
+
+41
+00:03:59,800 --> 00:04:05,660
+shift الذي في الـ Table، ناقص مقدار ما تم مطابقته
+
+42
+00:04:05,660 --> 00:04:09,100
+حتى الآن، الـ K هذا، أنا عندي في هذا المثال الـ K
+
+43
+00:04:09,100 --> 00:04:15,700
+بِيساوي اثنين، تم مطابقة بنجاح الـ R و الـ E
+
+44
+00:04:15,700 --> 00:04:20,240
+ولكن فشلت المطابقة عند الـ S مع الـ B، فالـ S هذا
+
+45
+00:04:20,240 --> 00:04:23,640
+نعتبره هو الـ Bad Symbol، الـ Bad Symbol
+
+46
+00:04:26,440 --> 00:04:31,580
+Okay، بس بدنا نطلع في الجدول، مش بس على أساسه، بدنا
+
+47
+00:04:31,580 --> 00:04:36,700
+نتحدد الـ shift إلا على أساس الفرق ما بين القيمة
+
+48
+00:04:36,700 --> 00:04:41,340
+التي في الجدول، وما بين الـ K، فعندي أنا من غير ما
+
+49
+00:04:41,340 --> 00:04:45,280
+أروح على الجدول، حرف الـ S هذا موجود في الـ pattern؟
+
+50
+00:04:45,280 --> 00:04:50,770
+لا، فأكيد هيكون في الجدول قيمته ستة، صح؟ واحد، اثنين،
+
+51
+00:04:50,770 --> 00:04:55,950
+ثلاثة، أربعة، خمسة، ستة، مظبوط، في هذه الحالة هي T1 of S
+
+52
+00:04:55,950 --> 00:05:01,350
+S هنا، التي هي الحرف الذي حصل عنده الـ mismatch في
+
+53
+00:05:01,350 --> 00:05:05,730
+الـ Horspool، كنا لا نذهب إلى هذا الحرف، لا نذهب إلى
+
+54
+00:05:05,730 --> 00:05:08,550
+الجدول على أساس هذا الحرف، نذهب على أساس الحرف
+
+55
+00:05:08,550 --> 00:05:13,750
+الذي مقابل لنهاية الـ pattern، مظبوط؟ نعم، إذًا
+
+56
+00:05:13,750 --> 00:05:19,550
+تتذكرون، لأن هذه القيمة هنا عبارة عن ماذا في الجدول؟
+
+57
+00:05:19,550 --> 00:05:23,970
+T1 of S بتساوي ستة، ناقص الـ K، بتساوي كده ايش؟
+
+58
+00:05:23,970 --> 00:05:27,610
+واحد، اثنين، ستة ناقص اثنين بتساوي أربعة، أربعة
+
+59
+00:05:27,610 --> 00:05:33,750
+positions، هذا الكلام غالبا بيكون خلاص ما بدنا أكثر
+
+60
+00:05:33,750 --> 00:05:38,950
+من هيك، لكن أحيانا هذه القيمة ممكن تطلع سالبة أو
+
+61
+00:05:38,950 --> 00:05:44,060
+صفر، يعني بيكون عندي القيمة التي، T1 of C قيمتها
+
+62
+00:05:44,060 --> 00:05:47,980
+صغيرة، والـ K بتكون أكبر منها، يعني بيكون ماشي، short
+
+63
+00:05:47,980 --> 00:05:54,880
+طويل، ماشي، أربع مقارنات، فالـ K بيساوي أربعة، و T1 of C
+
+64
+00:05:54,880 --> 00:05:57,920
+بتكون واحد أو اثنين أو كده، أقل من أربعة، فبيطلع
+
+65
+00:05:57,920 --> 00:06:03,520
+سالب، لذلك، إذا كان هذا المقدار أقل من الواحد
+
+66
+00:06:09,290 --> 00:06:13,090
+إذا أقل من واحد، فبناخد الواحد، إذا أكبر من واحد،
+
+67
+00:06:13,090 --> 00:06:19,290
+بناخده، فهنا max of
+
+68
+00:06:19,290 --> 00:06:24,290
+إما المقدار هذا، أو الواحد، من أكبر بناخده هذا
+
+69
+00:06:24,290 --> 00:06:31,210
+الآن أصبح D1، D1 هذه في الـ Boyer Moore نستخدمها في
+
+70
+00:06:31,210 --> 00:06:38,390
+حالات، وفي حالات أخرى نكتفي فيها، يعني في
+
+71
+00:06:38,390 --> 00:06:41,970
+حالات نكتفي بها، وفي حالات أخرى لا نكتفي بها،
+
+72
+00:06:41,970 --> 00:06:47,390
+نروح نحسب D2، ونأخذ من أكبر، D1 أو D2
+
+73
+00:06:47,390 --> 00:06:54,350
+الأكبر، يعني بالمحصلة الـ Boyer Moore الـ
+
+74
+00:06:54,350 --> 00:07:03,310
+distance فيها بتساوي إما D1 أو الـ maximum ما بين
+
+75
+00:07:03,310 --> 00:07:12,400
+D1 و D2، متى نكتفي بـ D1 ومتى نحسب D2 ونأخذ الـ
+
+76
+00:07:12,400 --> 00:07:20,680
+maximum؟ D1 if K بيساوي صفر، يعني إذا حصلت الـ
+
+77
+00:07:20,680 --> 00:07:26,920
+mismatch من أول مطابقة، من أول مقارنة، بدل من غلطة
+
+78
+00:07:26,920 --> 00:07:30,180
+بالمطابقة من أول مقارنة، زي هنا مثلا، هذا
+
+79
+00:07:30,180 --> 00:07:34,560
+المثال النهائي الذي سأذهب إليه، بي مع كي، ما فيش
+
+80
+00:07:34,560 --> 00:07:42,350
+مطابقة، صح؟ فـ K بيساوي صفر، فحسبنا D واحد، ولم نحسب D
+
+81
+00:07:42,350 --> 00:07:49,110
+اثنين، حسبنا D واحد على أساس حرف الـ K، الـ K هنا موجود
+
+82
+00:07:49,110 --> 00:07:57,190
+مش موجود، يبقى T واحد of حرف الـ K بيساوي ستة، K
+
+83
+00:07:57,190 --> 00:08:05,180
+small الذي هو عدد المطابقات، كأنه صفر، ستة ناقص
+
+84
+00:08:05,180 --> 00:08:11,420
+صفر بيساوي ستة، فخلاص نقفز بمقدار
+
+85
+00:08:11,420 --> 00:08:22,280
+ستة، لو زي هنا كان فيه عندهم مطابقتين، وفشل في الثالثة،
+
+86
+00:08:22,280 --> 00:08:27,840
+K هنا ايش بتساوي؟ اثنين، في هذه الحالة لازم نحسب D
+
+87
+00:08:27,840 --> 00:08:32,920
+واحد، ونحسب أو نجيب D اثنين، ما قلنا نحسب D2، لأنه D2
+
+88
+00:08:32,920 --> 00:08:39,960
+نجيبها على طول من الجدول، أما D1 هي حاصل الفرق، عشان
+
+89
+00:08:39,960 --> 00:08:45,480
+قلنا نحسب D1 بيساوي ايش؟ هذا T1 في ايش؟ الفراغ، لأن
+
+90
+00:08:45,480 --> 00:08:51,960
+الفراغ هو الذي حصل عنده المطابقة، الـ mismatch، الفراغ
+
+91
+00:08:51,960 --> 00:08:56,540
+أيضا، وهو غير موجود في الـ pattern، يبقى الـ T1 بيساوي
+
+92
+00:08:56,540 --> 00:09:03,630
+ستة، ستة، الآن ناقص ايش؟ ناقص عدد المطابقات K-small بيساوي
+
+93
+00:09:03,630 --> 00:09:09,530
+اثنين، تمام، ستة ناقص اثنين بيساوي أربعة، الآن هل يقفز
+
+94
+00:09:09,530 --> 00:09:14,530
+أربعة؟ لا، لازم يروح يحسب أو يجيب D اثنين، D اثنين
+
+95
+00:09:14,530 --> 00:09:18,110
+D اثنين، هلق هنحكي فيها، D اثنين بيساوي خمسة،
+
+96
+00:09:18,110 --> 00:09:23,090
+فبياخذ الـ maximum، ويقفز خمس قفزات، نحكي الآن في D
+
+97
+00:09:23,090 --> 00:09:27,150
+اثنين، واضحة في هذه الصورة أنه بالمحصلة،
+
+98
+00:09:35,430 --> 00:09:40,390
+بالمحصلة، مقدار القفزة في الـ Boyer Moore، يعتمد
+
+99
+00:09:40,390 --> 00:09:46,050
+على الـ K، إذا الـ K بيساوي صفر، فيه D واحد، D واحد
+
+100
+00:09:46,050 --> 00:09:50,190
+التي هي الـ maximum، مرة أخرى لا تنسوا الـ maximum ما
+
+101
+00:09:50,190 --> 00:09:53,670
+بين هذا والواحد، لأن هذا المقدار لحاله ممكن يكون
+
+102
+00:09:53,670 --> 00:09:57,770
+ممكن يطلع سالب أو صفر، ففي هذه الحالة لا أقدر
+
+103
+00:09:57,770 --> 00:10:02,130
+أقفز سالب، أرجع لوراء أو أضل في مكاني
+
+104
+00:10:08,270 --> 00:10:14,170
+فإذا K أكبر من صفر، يكون نحسب D1، إذا كان K أكبر من صفر،
+
+105
+00:10:14,170 --> 00:10:19,170
+يكون نحسب D2، ويتقارن مع D1، ويأخذ الـ maximum، ما هو
+
+106
+00:10:19,170 --> 00:10:25,150
+الآن D2؟ احنا
+
+107
+00:10:25,150 --> 00:10:29,970
+لم نقل، الجدول هذا، الجدول هذا هو نفسه shift table
+
+108
+00:10:31,310 --> 00:10:36,670
+الـ Horspool، هنا ايش سميناه؟ سميناه الـ bad symbol table
+
+109
+00:10:36,670 --> 00:10:41,750
+هذا الثاني الذي هو ايش اسمه؟ الـ good suffix table
+
+110
+00:10:41,750 --> 00:10:52,850
+الـ good suffix table، احنا
+
+111
+00:10:52,850 --> 00:10:58,870
+بنعمل برضه analysis على الـ pattern هنا
+
+112
+00:11:01,130 --> 00:11:04,490
+الجدول هذا اتشكل بناء على الـ pattern و الـ alphabet
+
+113
+00:11:04,490 --> 00:11:08,810
+بنشوف كل حرف من أحرف الـ alphabet، هل موجود في الـ
+
+114
+00:11:08,810 --> 00:11:12,110
+pattern، وإذا موجود على بعد قد ايش من اليمين، هنا
+
+115
+00:11:12,110 --> 00:11:15,070
+بانظر للـ alphabet، بانظر للـ pattern في ذاتها
+
+116
+00:11:15,070 --> 00:11:20,790
+ننظر إلى الـ suffix، ايش هو الـ suffix؟ الذي هو جزء من
+
+117
+00:11:20,790 --> 00:11:26,870
+النهاية، والـ prefix هو جزء من البداية، صح؟ فبناخد الـ
+
+118
+00:11:26,870 --> 00:11:32,230
+suffixes واحد وراء التالي، يعني في المرة الأولى الـ
+
+119
+00:11:32,230 --> 00:11:35,610
+suffix طوله one character، المرة الثانية الـ
+
+120
+00:11:35,610 --> 00:11:41,070
+suffix طوله characterين، ثلاثة، أربعة، خمسة، وخلاص، لأن
+
+121
+00:11:41,070 --> 00:11:46,970
+هذا الـ suffix طوله واحد، هل موجود مرتين؟ على
+
+122
+00:11:46,970 --> 00:11:51,790
+بعد قد ايش؟ أول واحدة، اثنين، هذا الذي فوق الكائنات
+
+123
+00:11:53,400 --> 00:12:01,140
+الآن يبقى، على k and k بيساوي واحد، D2 بتساوي اثنين
+
+124
+00:12:01,140 --> 00:12:07,720
+بمعنى آخر، أن إذا كنت أنا أجري عملية المقارنة، وحصلت
+
+125
+00:12:07,720 --> 00:12:11,920
+مطابقات بعدد واحد فقط، يعني الـ B هذه، وكانت
+
+126
+00:12:11,920 --> 00:12:15,200
+العجلة لها برضه في الـ text B، ففي عندي مطابقة
+
+127
+00:12:15,200 --> 00:12:19,640
+وانتقلت للي بعدها، وهنا حصل عدم المطابقة، فحتى الآن
+
+128
+00:12:19,640 --> 00:12:26,860
+الـ K بتساوي one، أنا الآن أبدأ أقفز، المفروض أقفز
+
+129
+00:12:26,860 --> 00:12:31,360
+لأنه في mismatch، الـ K قد ايش عند هذه اللحظة؟ تساوي
+
+130
+00:12:31,360 --> 00:12:31,840
+واحد
+
+131
+00:12:34,550 --> 00:12:39,310
+لأن قد ايش الـ D2؟ انتهت هذه اللحظة، التي هي بعد أول
+
+132
+00:12:39,310 --> 00:12:48,370
+أول ايش؟ أول incident أو نسخة من ما تم مطابقته
+
+133
+00:12:48,370 --> 00:12:52,430
+حتى الآن، على بعد قد ايش حين ما تم مطابقته؟ الذي هو
+
+134
+00:12:52,430 --> 00:12:56,750
+الـ B، أول نسخة منه على بعد اثنين، هنا الآن الـ AB
+
+135
+00:12:59,030 --> 00:13:05,050
+على مرة ثانية، نكرر نفس المنطق، أنني أقارن، وهذه
+
+136
+00:13:05,050 --> 00:13:11,210
+مطابقة الـ b والـ a، وحصلت الـ mismatch بعدها، okay
+
+137
+00:13:11,210 --> 00:13:18,230
+الآن هذا الكلام أين موجود؟ غير موجود اطلاقا، لكن
+
+138
+00:13:18,230 --> 00:13:22,710
+موجود جزء منه، إذا أنا ما أجد الـ goods هذا
+
+139
+00:13:22,710 --> 00:13:27,780
+اسمه good suffix، good لأنه مطابق، الـ Good suffix
+
+140
+00:13:27,780 --> 00:13:33,620
+الذي لم أجده كله، لم أجد نسخة أخرى منه بداخل الـ
+
+141
+00:13:33,620 --> 00:13:40,020
+pattern، بشوف على الأقل لو فيه prefix منه أمام؟ لو
+
+142
+00:13:40,020 --> 00:13:44,400
+فيه جزء منه، أو آسف، لو فيه prefix من الـ pattern
+
+143
+00:13:44,400 --> 00:13:50,780
+يطابق جزء من الـ suffix هذا عند الـ B هنا، تطابق، صح؟
+
+144
+00:13:50,780 --> 00:13:54,520
+ماشي، الـ A على بعد كم؟ على بعد خمسة
+
+145
+00:14:02,840 --> 00:14:06,860
+Okay، الذي تريد أن تنتبه إليه، أن طب ما هي الـ B هذه برضه
+
+146
+00:14:06,860 --> 00:14:12,240
+موجودة على بواب واحد، أنا لازم أتجاهل، لازم أتجاهل
+
+147
+00:14:12,240 --> 00:14:18,020
+character بعد الـ suffix، لازم أول character بعد الـ
+
+148
+00:14:18,020 --> 00:14:24,880
+suffix نتجاهله، وبعدين ندور على أول B، على أول، على
+
+149
+00:14:24,880 --> 00:14:31,870
+الـ suffix هذا ما أجدته، بشوف ايش جزء منه موجود، أجدت
+
+150
+00:14:31,870 --> 00:14:36,570
+الـ B كجزء على بعد خمسة، وهذول كلهم زي هيك، لأنهُ
+
+151
+00:14:36,570 --> 00:14:42,010
+كلهم برضه لما نأخذ... لما نأخذ الثلاث أحرف، نجد
+
+152
+00:14:42,010 --> 00:14:44,730
+نفس القضية، لما نأخذ الأربع أحرف، نفس القضية، خمس أحرف،
+
+153
+00:14:44,730 --> 00:14:49,670
+نجد نفس القضية، أنا... أنا الـ table هذا هو الذي
+
+154
+00:14:49,670 --> 00:14:54,310
+أستند إليه لحساب D2، أو مش حساب، خلاص، look up لـ D2
+
+155
+00:14:54,310 --> 00:15:01,510
+يعني D2 هذا مباشرة نجيبها، نقول أنا... زي ما في عندي
+
+156
+00:15:01,510 --> 00:15:08,990
+أنا T1 أعطيها C عشان أشوف قد ايش في الجدول، هذا الحرف
+
+157
+00:15:08,990 --> 00:15:14,810
+هذا قد ايش القفزة عنده؟ برضه كذلك الحال، T2، الجدول 2
+
+158
+00:15:14,810 --> 00:15:19,450
+نعطيها ايش عشان
+
+159
+00:15:19,450 --> 00:15:29,300
+أشوف قد ايش مقدار القفزة، هنا الـ T1 هذه، سآخذها، وأدخلها
+
+160
+00:15:29,300 --> 00:15:35,980
+وأدخلها في الحسبة عشان أطلع D1، بينما T2 مباشرة هي
+
+161
+00:15:35,980 --> 00:15:43,620
+بالساوية D2، خلينا نطلع هذا الكلام عمليا في المثال
+
+162
+00:15:43,620 --> 00:15:49,100
+الذي ذهبنا إليه، نرجع إليه ثانيا، الذي هو هذا نفسه، هي
+
+163
+00:15:49,100 --> 00:15:55,530
+الجدولان، مظبوط، هذه الجدولان، الجدول هذا الذي هو الـ
+
+164
+00:15:55,530 --> 00:16:01,690
+bad symbol، وهذا الـ good suffix
+
+165
+00:16:01,690 --> 00:16:07,450
+okay، الآن ننتقل إلى الـ example، لأن الكلمة، العبارة
+
+166
+00:16:07,450 --> 00:16:07,970
+التي عندي
+
+167
+00:16:13,100 --> 00:16:18,380
+أريد أن أدور فيها في الـ text هذا، على الـ pattern هذه، زي
+
+168
+00:16:18,380 --> 00:16:23,400
+الـ Horspool، نبدأ من الأول، صحيح، لكن يعني، نحاذي
+
+169
+00:16:23,400 --> 00:16:28,940
+لكن نبدأ المقارنة من اليمين، بي مع كي، ما فيش مطابقة،
+
+170
+00:16:28,940 --> 00:16
+
+223
+00:20:48,700 --> 00:20:54,600
+سبعة اتنين المحاضرة جاية إن شاء الله assignment
+
+224
+00:20:54,600 --> 00:20:59,340
+السابق إحنا برضه طلبنا هو هذا أه إيه وما طلبناش
+
+225
+00:20:59,340 --> 00:21:05,260
+على اللي هو الـ input على الـ comparison counting
+
+226
+00:21:05,260 --> 00:21:10,660
+خلاص فإحنا بنبدأ من هذا الـ exercise واللي كمان
+
+227
+00:21:10,660 --> 00:21:17,960
+شوية بعد section سبعة تلاتة طيب
+
+228
+00:21:17,960 --> 00:21:22,820
+الآن سبعة تلاتة بينتقل للنوع الثاني الآن من الـ
+
+229
+00:21:22,820 --> 00:21:28,040
+trade-off اللي هو input enhancement والثاني كان
+
+230
+00:21:28,040 --> 00:21:34,500
+restructuring نعمل data structure اللي ساعد في شغل
+
+231
+00:21:34,500 --> 00:21:39,720
+الـ algorithm الـ hashing مثال مباشر على ذلك والمثال
+
+232
+00:21:39,720 --> 00:21:45,000
+الثاني في section 7 أربعة هيكون اللي هو الـ B-tree
+
+233
+00:21:46,150 --> 00:21:49,210
+أعتقد الـ hashing والـ B-tree أيضا عندكم فكرة
+
+234
+00:21:49,210 --> 00:21:53,730
+مسبقة عنه بنمر عليهم على السريع الآن الـ hashing
+
+235
+00:21:53,730 --> 00:21:57,090
+طبعا فينا حاجة اسمها الـ hash table والـ hash
+
+236
+00:21:57,090 --> 00:22:02,930
+function الـ hash table أو بالأول الـ hash function
+
+237
+00:22:02,930 --> 00:22:07,750
+هي برعنة function بتاخد
+
+238
+00:22:07,750 --> 00:22:13,960
+الـ keyوبتحسب منه الـ hash address الـ hash address
+
+239
+00:22:13,960 --> 00:22:18,520
+هو المكان اللي بده يحفظ فيه هذا الـ key بداخل الـ
+
+240
+00:22:18,520 --> 00:22:19,080
+hash table
+
+241
+00:22:43,670 --> 00:22:55,390
+طبعا الـ keys هي دي هي عبارة عن قيم بـ.. قيم الـ
+
+242
+00:22:55,390 --> 00:22:59,490
+values اللي بدأت تتخزن ماشي إحنا بنسميها keys لأن
+
+243
+00:22:59,490 --> 00:23:03,410
+غالبا بتيجي في إطار زي مثلا اللي هو الـ database
+
+244
+00:23:06,160 --> 00:23:10,080
+واللي ممكن يبقى في أنحاء اسم الـ symbol table في
+
+245
+00:23:10,080 --> 00:23:14,400
+الـ.. في الـ compiler المهم أنه إحنا هذه الـ keys
+
+246
+00:23:14,400 --> 00:23:20,700
+غالبا بتبقى قيمة عددية لو مش عددية بنروح بنشتق
+
+247
+00:23:20,700 --> 00:23:23,940
+منها القيمة العددية يعني مثلا إذا مش عددية هتبقى
+
+248
+00:23:23,940 --> 00:23:27,880
+text text يعني أحرف، الأحرف بناخد الـ ASCII value
+
+249
+00:23:27,880 --> 00:23:32,680
+تبعها okay الـ ASCII value لو.. هذا لو character
+
+250
+00:23:32,680 --> 00:23:37,290
+واحد لو عدة characters، لو الـ key الواحد هو عبارة
+
+251
+00:23:37,290 --> 00:23:42,650
+عن كلمات زي مثلا هنا هاي في المثال هذا هدولة keys
+
+252
+00:23:42,650 --> 00:23:47,190
+كل واحدة منهم key بنحطهم بنخزنهم عشان بعدين هي كان
+
+253
+00:23:47,190 --> 00:23:51,430
+يعمل عليهم search أو غيرهم فهذه كلهم كلمات، الكلمة
+
+254
+00:23:51,430 --> 00:23:56,170
+الواحدة بنشوف الأحرف بتاعتها وبناخد المجموعة يعني
+
+255
+00:23:56,170 --> 00:24:01,050
+مثلا هذه حرف واحد هذه أربع حروف تلاتة، أربعة، هنا الـ
+
+256
+00:24:01,050 --> 00:24:05,900
+F6الـ ASCII value تبعها الـ O خمستاشر وبعدها
+
+257
+00:24:05,900 --> 00:24:11,820
+خمستاشر، مجموعة هذا الكلام كله إيش هذا؟ الآن هذا الآن
+
+258
+00:24:11,820 --> 00:24:17,520
+الـ hash function، الـ hash function هنا هي بقى عن الـ
+
+259
+00:24:17,520 --> 00:24:22,740
+mod أخدت الـ value تبع الـ key وعملت mod على جدّيش
+
+260
+00:24:22,740 --> 00:24:26,900
+تلتاشر، إيش التلتاشر هذه؟ طول الـ hash table
+
+261
+00:24:32,990 --> 00:24:36,950
+طول الـ hash table في هندي هذا مختلف عن n اللي هي
+
+262
+00:24:36,950 --> 00:24:44,390
+عدد الـ keys، عدد الـ keys هذا n، طول الـ hash table M
+
+263
+00:24:44,390 --> 00:24:51,050
+لو هدولة متساوين معناته بتوقع أن كل key هيشغل
+
+264
+00:24:51,050 --> 00:24:57,030
+لحاله في address أو بالمعدل يعني بالمعدل
+
+265
+00:24:59,470 --> 00:25:04,630
+وهو غالبا أن الـ M يبقى أصغر من الـ N لأنه لن يكون
+
+266
+00:25:04,630 --> 00:25:09,990
+معاه دائما واسع لكل الـ keys المحتملة، الـ keys ممكن
+
+267
+00:25:09,990 --> 00:25:15,190
+تبقى خاصة في الـ database ممكن تبقى بالألاف، واضح؟
+
+268
+00:25:15,190 --> 00:25:19,030
+يبقى الآن وضعت إيش يعني hash table، إيش يعني hash
+
+269
+00:25:19,030 --> 00:25:21,110
+function، الـ hash function اللي هنشوفها في الأمثلة
+
+270
+00:25:21,110 --> 00:25:27,240
+دي كلها عبارة عن الـ mod، بناخد قيمة الـ key إذا هو
+
+271
+00:25:27,240 --> 00:25:32,840
+عددي بناخدها مباشرة mod m، إذا مش عددي بنحول الـ key
+
+272
+00:25:32,840 --> 00:25:36,860
+إلى قيمة عددية وبعدين بناخد القيمة هذه وmod m
+
+273
+00:25:36,860 --> 00:25:39,900
+تمام؟
+
+274
+00:25:39,900 --> 00:25:45,020
+الآن هذا الكلام من الطبيعي على طول يولد عندنا
+
+275
+00:25:45,020 --> 00:25:48,660
+تساؤل، طيب ماذا لو حدث conflict؟ إيش يعني conflict؟
+
+276
+00:25:48,660 --> 00:25:55,940
+أكثر من إيش؟ أيوة بالظبط، أكثر من key ياخدوا نفس الـ
+
+277
+00:25:55,940 --> 00:25:59,900
+hash address، هدولة عبارة عن addresses الـ hash
+
+278
+00:25:59,900 --> 00:26:02,540
+function أضفتها، عطيها الـ key تعطينا الـ address
+
+279
+00:26:02,540 --> 00:26:07,180
+مظبوط؟ أو الـ hash value يعني، فإذا أكثر من key وهذا
+
+280
+00:26:07,180 --> 00:26:14,140
+وارد جدا، هاي هنا مثلا، هاي 11 الـ soon الـ hash
+
+281
+00:26:14,140 --> 00:26:18,300
+address تبعها أو value 11 واللي قبلها أيضا، اللي
+
+282
+00:26:18,300 --> 00:26:24,600
+هي R، لأ R، نعم R، لو انتقلت أحرف الـ mod تبقى مع 13
+
+283
+00:26:24,600 --> 00:26:28,040
+سوا وأيضا 11، بجهنا صار في conflict،صار في
+
+284
+00:26:28,040 --> 00:26:32,520
+conflict، فإيش العمل؟ لما نكون two keys بدهم
+
+285
+00:26:32,520 --> 00:26:39,680
+يتحملوا على نفس الـ address، إيش العمل؟ بنعمل في
+
+286
+00:26:39,680 --> 00:26:43,420
+أسلوبين للتعامل مع الـ conflict، إما بنعمل open
+
+287
+00:26:43,420 --> 00:26:47,890
+hashing أو closed hashing، في الـ open hashing بنروح
+
+288
+00:26:47,890 --> 00:26:56,870
+بنعمل chains of keys، الـ address الواحد في واقع
+
+289
+00:26:56,870 --> 00:27:03,610
+الأمر هو عبارة عن pointer على سلسلة، أه فأنا الآن
+
+290
+00:27:03,610 --> 00:27:11,610
+عندي are أو soon، هذه على فكرة عبارة، هذه الكلمات
+
+291
+00:27:11,610 --> 00:27:15,370
+هذه بالشكل العبارة a fool and his money are soon
+
+292
+00:27:15,370 --> 00:27:20,930
+parted، بمعنى الفول يعني المغفل أو السفيه، اللي مغفل
+
+293
+00:27:20,930 --> 00:27:29,730
+و فلوسه سرعان ما يفترقوا، إحنا الآن بنتخيل أن واحدة
+
+294
+00:27:29,730 --> 00:27:37,150
+ورا الثانية بنخزن فيهم، قاعدين اجت الآن كلمة R، نحسب
+
+295
+00:27:37,150 --> 00:27:42,190
+الـ hash value تبعها 11، راحت على 11، الآن مش هنحطها
+
+296
+00:27:42,190 --> 00:27:53,700
+على 11، هنحطها في node أو بداية سلسلة،
+
+297
+00:27:53,700 --> 00:27:59,320
+والآن هيبقى في عندي pointer لسه فاضي، لسه يعني ما فيش
+
+298
+00:27:59,320 --> 00:28:02,400
+شيء، بعدين لأن لما تيجي soon وينحسب الإشعار يطلع
+
+299
+00:28:02,400 --> 00:28:06,940
+برضه 11، لما نروح الـ 11 ونلاقي أنه في شيء فبنروح
+
+300
+00:28:06,940 --> 00:28:14,720
+نحط بعده، إذا في أكثر برضه بدنا نحط، هذا الحل الأول
+
+301
+00:28:14,720 --> 00:28:19,630
+هذا اللي هو الـ open hashing، بنسميه Separate Chaining
+
+302
+00:28:19,630 --> 00:28:27,370
+سلسلة منفصلة لكل address، لكل hash value، واضح هذا
+
+303
+00:28:27,370 --> 00:28:33,110
+الكلام، الآن الـ search بترتب عليه عملية الـ delete
+
+304
+00:28:33,110 --> 00:28:38,130
+والـ add، يعني أنا لو بس بستعلم فقط، يعني أنا الآن
+
+305
+00:28:38,130 --> 00:28:42,270
+بدي أدور على كلمة R، هل هي موجودة في الـ data
+
+306
+00:28:42,270 --> 00:28:45,410
+structure ولا مش موجودة، بدي أعمل عملية search، بحث
+
+307
+00:28:45,410 --> 00:28:49,650
+فبروح أول شيء بحسب الـ R، إيش الـ hash value تبعها
+
+308
+00:28:49,650 --> 00:28:54,330
+بيطلع 11، بروح على 11، لأن ببدأ بحث في هذه السلسلة
+
+309
+00:28:54,330 --> 00:29:00,060
+okay، لو بدي أبحث عن كلمة أخرى، قولوا مثلا four، ما فيش
+
+310
+00:29:00,060 --> 00:29:03,020
+forum، مش موجودة، أول شيء بجيب الـ hash value تبعها
+
+311
+00:29:03,020 --> 00:29:07,180
+بروح على الـ address بلاقي أنه والله إما فاضي، ما فيش
+
+312
+00:29:07,180 --> 00:29:13,480
+pointer أو الـ pointer مشغول يعني، أو أنه بلاقي فيه و
+
+313
+00:29:13,480 --> 00:29:18,820
+بروح بدور فيهم بلاقي hash، فـ okay هذا الـ search
+
+314
+00:29:18,820 --> 00:29:23,440
+الآن أنا ممكن أبحث عشان أ أ أ أ أ أ أ أ أ أ أ أ أ
+
+315
+00:29:23,440 --> 00:29:23,560
+أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ
+
+316
+00:29:23,560 --> 00:29:23,680
+أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ
+
+317
+00:29:23,680 --> 00:29:23,920
+أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ
+
+318
+00:29:23,920 --> 00:29:24,940
+أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ أ
+
+319
+00:29:24,940 --> 00:29:29,480
+أ أ أ أ أ أ أ أ أ أ أ أ أ أ نفس الشيء، أصبح الـ
+
+320
+00:29:29,480 --> 00:29:37,260
+delete والـ add أيضا، نعمل add زي عملية البناء
+
+321
+00:29:37,260 --> 00:29:40,480
+الأصلية، يوم إحنا بنينا الـ table، بنيناها بنفس
+
+322
+00:29:40,480 --> 00:29:44,560
+الطريقة، بنيجي بنعمل insert لشيء جديد okay فكله في
+
+323
+00:29:44,560 --> 00:29:48,880
+الآخر قالية واحدة اللي هي نفسها مشابهة لقالية الـ
+
+324
+00:29:48,880 --> 00:29:55,080
+insert، تكوين الـ table والـ search، okay هذا الـ
+
+325
+00:29:55,080 --> 00:30:01,020
+open hashing، بالنسبة للـ closed hashing، بروحش بعمل
+
+326
+00:30:01,020 --> 00:30:06,140
+السلاسل هذه، بروح بعمل شيء من هذا القبيل أو شيء هذا
+
+327
+00:30:06,140 --> 00:30:10,100
+الـ open، هذا الـ open hashing أو separate chaining
+
+328
+00:30:10,100 --> 00:30:17,760
+هذا اللي هو هذا، لسه ما الـ closed، الـ closed اللي هو
+
+329
+00:30:17,760 --> 00:30:18,880
+أن أنا إيش بسوي
+
+330
+00:30:21,950 --> 00:30:24,990
+هذه الآن الـ hash addresses، مش الـ table لسه
+
+331
+00:30:24,990 --> 00:30:28,330
+addresses، عندي الـ R والـ soon لهم نفس الـ value، أول
+
+332
+00:30:28,330 --> 00:30:32,910
+ما دخلت دخلت الـ R فاتخزنت فيه 11، لأن لما جينا..
+
+333
+00:30:32,910 --> 00:30:36,410
+لجينا الـ soon برضه كمان بتحاول على 11 والـ 11 already
+
+334
+00:30:36,410 --> 00:30:40,430
+مشغولة وأنا مش هعمل الـ chain، فإيش بسوي؟ الـ closed
+
+335
+00:30:40,430 --> 00:30:43,250
+hash، بروح بدور على الـ next available، هذه بتبقى لسه
+
+336
+00:30:43,250 --> 00:30:48,630
+فاضية فبروح بحطها، بحطها على 12، كيف؟
+
+337
+00:30:50,610 --> 00:30:54,370
+الآن لو في عندي قيمة ثانية اللي هي parted، parted
+
+338
+00:30:54,370 --> 00:30:58,710
+المكان الصحيح بتاعها حيكون 11 وإحنا أخدناه، بتروح
+
+339
+00:30:58,710 --> 00:31:03,390
+بندور لها على الـ next available، يعني أصبح سياسة
+
+340
+00:31:03,390 --> 00:31:08,110
+عامة أنه إذا روحت على الـ location ولقيته فاضي بحط
+
+341
+00:31:08,110 --> 00:31:11,870
+لقيته مشغول ببدأ أتنقل بداخل الـ hash table
+
+342
+00:31:11,870 --> 00:31:17,290
+sequentially لغاية ما ألاقي الـ first available
+
+343
+00:31:17,290 --> 00:31:22,640
+location بحط فيه، هذا في الـ adding أو الـ insertion
+
+344
+00:31:22,640 --> 00:31:27,340
+في الـ searching، لما أبحث بروح ببحث في نفس الأشياء
+
+345
+00:31:27,340 --> 00:31:30,200
+أنه أول شيء بجيب الـ hash value، ببحث على كلمة soon
+
+346
+00:31:30,200 --> 00:31:35,100
+كلمة soon الـ hash value بتبقى 11، بروح على 11 بلاقي
+
+347
+00:31:35,100 --> 00:31:38,860
+R، خلاص لأ، مش موجودة، لأ بروح بمشي على اللي بعده
+
+348
+00:31:38,860 --> 00:31:43,640
+لربما ألاقيها، بضل أمشي لإمتى؟ لحتى ألاقي مكان فاضي
+
+349
+00:31:43,640 --> 00:31:49,220
+بقعد بمشي ولجيت مكان فاضي يبقى مش موجود خلاص، okay
+
+350
+00:31:49,220 --> 00:31:54,560
+بعدين شغلة أخرى أنه عملية البحث بتبقى circular
+
+351
+00:31:54,560 --> 00:31:59,720
+يعني لما أصل لنهاية الـ hash table ببدأ من البداية
+
+352
+00:31:59,720 --> 00:32:03,820
+الثانية من الأول، يعني الآن أنا مثلا جيت أحط parted
+
+353
+00:32:03,820 --> 00:32:10,810
+parted، 12، parted، الـ value تبعها 12، روحت على 12
+
+354
+00:32:10,810 --> 00:32:14,750
+لقيته فيه كلمة soon قاعدة، طيب خلص الـ hash table لأ
+
+355
+00:32:14,750 --> 00:32:20,150
+بروح بكمل عملية البحث من البداية، هذه بتكون فاضية
+
+356
+00:32:20,150 --> 00:32:24,690
+فبروح بحطها أنا، لأن في الـ insertion بروح بحط
+
+357
+00:32:24,690 --> 00:32:30,510
+parted، لأن parted بدل ما تكون على 12 قاعدة على 0، و
+
+358
+00:32:30,510 --> 00:32:34,330
+soon بدل ما تكون على 11 قاعدة على 12، okay
+
+359
+00:32:50,440 --> 00:32:55,500
+فيه بتظهر إشكالية صغيرة، لأن إحنا قلنا أنه في الـ
+
+360
+00:32:55,500 --> 00:33:01,040
+closed هنا الـ insertion والـ search واضحة، الـ
+
+361
+00:33:01,040 --> 00:33:05,700
+insertion أنه أنا بحسب الـ hash value بروح إذا
+
+362
+00:33:05,700 --> 00:33:10,040
+لقيته فاضي بحط فيه، ما لقيته مليان بروح ببدأ بحث عن
+
+363
+00:33:10,040 --> 00:33:15,810
+الـ next available، الـ.. الـ search بحسب الـ hash
+
+364
+00:33:15,810 --> 00:33:20,770
+value بروح على الـ location، إذا لقيته المكان فاضي
+
+365
+00:33:20,770 --> 00:33:24,130
+معناته اللي أنا ببحث عنه مش موجود و خلاص بطلع، إذا
+
+366
+00:33:24,130 --> 00:33:27,910
+لقيته في شيء بقارن الشيء باللي أنا ببحث عنه، إذا هو
+
+367
+00:33:27,910 --> 00:33:32,510
+خلاص يبقى موجود، مش هو بروح ببلوغ عليه بعده وبستمر
+
+368
+00:33:32,510 --> 00:33:37,290
+إلّا إمّا أن ألاقي مكان فاضي أو..
+
+369
+00:33:41,650 --> 00:33:47,110
+مكان فاضي، صح، طيب الآن أنا بدي أعمل delete، بدي أعمل
+
+370
+00:33:47,110 --> 00:33:54,270
+delete لـ R، A R E، A R E، الـ hash value بتبقى 11، روحت
+
+371
+00:33:54,270 --> 00:33:56,910
+على 11، لقيته موجودة وهي طبعا يعني يفترض أنها تكون
+
+372
+00:33:56,910 --> 00:33:59,050
+موجودة، كيف بدي أعمل delete؟ لإيش ما.. روحت إيش
+
+373
+00:33:59,050 --> 00:34:03,290
+مسحتها، صار مكانها إيش؟ فاضي، جيت بعد ذلك ببدأ أدور
+
+374
+00:34:03,290 --> 00:34:08,240
+على soon، حسبت الـ hash value 11، روحت على 11، لقيته
+
+375
+00:34:08,240 --> 00:34:13,640
+فاضي، يفترض أوقف، بس هي قاعدة في الخلية اللي بعدها
+
+376
+00:34:13,640 --> 00:34:19,270
+على طول، وهذا خلل، هذا إشكالية، إيه؟ إيش هسوي؟ طيب
+
+377
+00:34:19,270 --> 00:34:27,370
+معناه إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا
+
+378
+00:34:27,370 --> 00:34:30,810
+إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا
+
+379
+00:34:30,810 --> 00:34:31,550
+إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا
+
+380
+00:34:31,550 --> 00:34:31,950
+إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا
+
+381
+00:34:31,950 --> 00:34:34,150
+إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا
+
+382
+00:34:34,150 --> 00:34:34,310
+إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا إحنا
+
+383
+00:34:34,310 --> 00:34:37,630
+إحنا إحنا
+
+384
+00:34:37,630 --> 00:34:45,830
+إحنا
+
+385
+00:34:45,830 --> 00:34:52,610
+إحنا، قولوا مثلا بحط القيمة minus one، تمام؟ إيش هذا
+
+386
+00:34:52,610 --> 00:34:57,330
+بيساوي؟ أنا الآن روحت مسحت R وحطيت ناقص one، الآن
+
+387
+00:34:57,330 --> 00:35:03,690
+جيت ببحث عن soon، soon 11، روحت على 11، لو لقيته 11
+
+388
+00:35:03,690 --> 00:35:07,430
+فاضية معناته خلاص لأ، الآن لقيته أنا ناقص واحد، ناقص
+
+389
+00:35:07,430 -->
+
+445
+00:40:06,350 --> 00:40:11,510
+اتنين وهذا طول ثلاثة وهذا طول أربعة، أجمع المجموع
+
+446
+00:40:11,510 --> 00:40:14,930
+وجسم العدد يطلع معاه الـ load factor واحد ونص، وهذا
+
+447
+00:40:14,930 --> 00:40:22,670
+صغير، which is good، بس بيكون الـ hash table مفرغ
+
+448
+00:40:22,670 --> 00:40:27,790
+يعني فيه تحميل على بعض الـ keys وفراغ في الـ
+
+449
+00:40:27,790 --> 00:40:32,520
+addresses، وفراغ في الـ addresses الأخرى، تمام؟ لأ، الـ
+
+450
+00:40:32,520 --> 00:40:35,780
+... الـ ... الـ ... الـ good hash function should تبقى
+
+451
+00:40:35,780 --> 00:40:41,080
+مصممة بحيث أنها توزّع الـ ... هذا evenly لما
+
+452
+00:40:41,080 --> 00:40:47,180
+يبقى الـ keys numeric، الـ mod لحالها كافية أنها تتوزع
+
+453
+00:40:47,180 --> 00:40:52,560
+الـ values evenly. النقطة الأخيرة، ثالثاً، أن hash
+
+454
+00:40:52,560 --> 00:40:55,900
+table size should not be excessively large
+
+455
+00:40:55,900 --> 00:40:59,740
+compared to the number of keys، يعني ما يبقى
+
+456
+00:40:59,740 --> 00:41:05,210
+الـ hash table كبير مقارنة مع N، يعني ما يبقى M كبيرة
+
+457
+00:41:05,210 --> 00:41:10,290
+مقارنة مع N، لأن
+
+458
+00:41:10,290 --> 00:41:16,750
+هذا برضه بيأثر على اللي هو الـ efficiency في الـ
+
+459
+00:41:16,750 --> 00:41:21,990
+implementation. طيب، هي كده إحنا بنكون خلصنا موضوع
+
+460
+00:41:21,990 --> 00:41:26,610
+الـ hashing بنوعين، اللي هو الـ closed والـ open، هذا
+
+461
+00:41:26,610 --> 00:41:31,160
+نهاية الـ section 7-3 (سبعة تلاتة)، الـ exercises تبعتها
+
+462
+00:41:31,160 --> 00:41:36,240
+made منهم من السبعة الأولى من واحد لسبعة، وبدنا
+
+463
+00:41:36,240 --> 00:41:42,360
+نسلّم واحد زاد، اتنين، okay، فأصبح أن للمحاضرة الجاية
+
+464
+00:41:42,360 --> 00:41:45,920
+في أربع مسائل، واحد زاد، اتنين من هنا، وواحد زاد
+
+465
+00:41:45,920 --> 00:41:49,480
+اتنين من سبعة، اتنين، ماشي، الحلقة، أعطيكم العافية
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/L5NUOstkrjU_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/L5NUOstkrjU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..269649c456d81eeb7778eed14a809138f5ec4c18
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/L5NUOstkrjU_postprocess.srt
@@ -0,0 +1,1860 @@
+1
+00:00:21,290 --> 00:00:23,430
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,430 --> 00:00:27,390
+المرسلين اليوم ان شاء الله بنكمل مطرح وقفنا
+
+3
+00:00:27,390 --> 00:00:30,250
+المحاضرة الماضية فيه موضوع ال space and time trade
+
+4
+00:00:30,250 --> 00:00:34,410
+-offs وكان الحكي لسه لازال في ال input enhancement
+
+5
+00:00:34,410 --> 00:00:41,130
+النوع الأول من ال trade-offs وبالتحديد خلصنا اللي
+
+6
+00:00:41,130 --> 00:00:46,330
+هو ال algorithm ال horse pools algorithm اللي هي
+
+7
+00:00:46,330 --> 00:00:50,950
+ال string matchingماشى ال horse pools algorithm
+
+8
+00:00:50,950 --> 00:00:57,850
+شوفنا عليها ذلك مثال المثال هذا كان انه احنا عندنا
+
+9
+00:00:57,850 --> 00:01:01,930
+كلمة barber و احنا بدنا نعمل عملية ال search في
+
+10
+00:01:01,930 --> 00:01:08,130
+هذا ال input او في هذا ال string وشوفنا كيف انه ال
+
+11
+00:01:08,130 --> 00:01:12,890
+horse pools algorithm بتعتمد على ال shift table
+
+12
+00:01:17,370 --> 00:01:25,290
+وبشكل آلي انه وين ما بيحدث عدم المطابقة لما بتحدث
+
+13
+00:01:25,290 --> 00:01:32,010
+عدم المطابقة بنروح على الحرف المقابل لنهاية ال
+
+14
+00:01:32,010 --> 00:01:36,870
+pattern بنعمل look up في ال table بيحددنا مقدار ال
+
+15
+00:01:36,870 --> 00:01:41,190
+shift وبنستمر في هذا الأمر إلى ان ما انه احنا
+
+16
+00:01:41,190 --> 00:01:47,210
+نلاقيأو أنه مانلاقيش ال pattern اليوم ان شاء الله
+
+17
+00:01:47,210 --> 00:01:50,690
+بنطلع على ال algorithm التاني في ال string
+
+18
+00:01:50,690 --> 00:01:56,910
+matching اللي هي ال Boyer Moore algorithm بتتشابه
+
+19
+00:01:56,910 --> 00:02:02,130
+مع ال horse pools algorithm في جوانب و بتختلف عنها
+
+20
+00:02:02,130 --> 00:02:07,870
+في جوانب التشابه ان احنا نفس ال strategy ان احنا
+
+21
+00:02:07,870 --> 00:02:16,730
+بنبدأ المقارنة من يمين ال patternOkay الاختلاف هو
+
+22
+00:02:16,730 --> 00:02:23,790
+نقطتين أساسية أولا في عندي جدولين مش جدول واحد في
+
+23
+00:02:23,790 --> 00:02:28,110
+ال Boyer Moore في جدول مشابه للجدول المستخدم في ال
+
+24
+00:02:28,110 --> 00:02:32,840
+horse pool اللي هو بدنا نسميه الآن هناهنا كما
+
+25
+00:02:32,840 --> 00:02:37,660
+نسميه shift table مافيش وصفه الا هيك بس هنا لأنه
+
+26
+00:02:37,660 --> 00:02:41,600
+في عنده two tables فبده اميز هذا هنا اسمه ال bad
+
+27
+00:02:41,600 --> 00:02:47,540
+symbol table ال bad symbol table ببساطة شديدة على
+
+28
+00:02:47,540 --> 00:02:53,320
+أساس انه المطابقة حدثت او عدم المطابقة حدث
+
+29
+00:02:55,650 --> 00:03:01,470
+أثناء الـ comparison يعني السيمبل اللى حصل عنده
+
+30
+00:03:01,470 --> 00:03:10,210
+عدم المطابقه بروح على ال table و ب .. و بشوف قداش
+
+31
+00:03:10,210 --> 00:03:14,230
+أعمل shift بس
+
+32
+00:03:14,230 --> 00:03:18,830
+هذا مش ال table الوحيد فيه table تاني فاحنا
+
+33
+00:03:18,830 --> 00:03:25,050
+بنسميهم T1و T اتنين في واقعي الأمر انا في عندي
+
+34
+00:03:25,050 --> 00:03:30,570
+برضه كمان distance واحد و distance اتنين خلينا نجف
+
+35
+00:03:30,570 --> 00:03:34,290
+على distance واحد و نقول انه مقدار ال shift اللي
+
+36
+00:03:34,290 --> 00:03:37,310
+بده فعلا في الآخر في نهاية المطافة في ال algorithm
+
+37
+00:03:37,310 --> 00:03:42,550
+تقفزه ماشي هيكون اما distance واحد او distance two
+
+38
+00:03:42,550 --> 00:03:47,590
+وهذه ال distance one و distance two جايين كتالي
+
+39
+00:03:47,590 --> 00:03:48,090
+انه
+
+40
+00:03:54,140 --> 00:03:59,800
+Distance واحد هي عبارة عن الفرق ما بين قيمة الـ
+
+41
+00:03:59,800 --> 00:04:05,660
+Shift اللي في الـ Table ناقص مقدار ما تم مطابقته
+
+42
+00:04:05,660 --> 00:04:09,100
+حتى الآن الـ K هذا أنا عندي في هذا المثال الـ K
+
+43
+00:04:09,100 --> 00:04:15,700
+بالساوي كده؟ اتنين تم مطابقة بنجاح الـ R و الـ E
+
+44
+00:04:15,700 --> 00:04:20,240
+ولكن فشلت المطابقة عند الـ S مع الـ B فالـ S هذا
+
+45
+00:04:20,240 --> 00:04:23,640
+بنعتبر هو الـ Bad Symbol الـ Bad Symbol
+
+46
+00:04:26,440 --> 00:04:31,580
+Okay بس بدنا نطلع في الجدول مش بس على أساسه بدنا
+
+47
+00:04:31,580 --> 00:04:36,700
+نتحدد ال shift إلا على أساس الفرق ما بين القيمة
+
+48
+00:04:36,700 --> 00:04:41,340
+اللي في الجدول و ما بين ال K فعندي أنا من غير ما
+
+49
+00:04:41,340 --> 00:04:45,280
+أروح على الجدول حرف ال S هذا موجود في ال pattern؟
+
+50
+00:04:45,280 --> 00:04:50,770
+لأ فأكيد هيكون في الجدول قيمتهستة صح؟ واحد اتنين
+
+51
+00:04:50,770 --> 00:04:55,950
+تلاتة اربع خمسة ستة مظبوط في هذه الحالة هى T1 of S
+
+52
+00:04:55,950 --> 00:05:01,350
+S هنا اللى هى الحرف اللى حصل عنده ال mismatch فى
+
+53
+00:05:01,350 --> 00:05:05,730
+ال horse pools كنا بنروحش على هذا الحرف بنروحش على
+
+54
+00:05:05,730 --> 00:05:08,550
+الجدول على أساس هذا الحرف بنروح على أساس الحرف
+
+55
+00:05:08,550 --> 00:05:13,750
+اللى مقابل لنهاية ال pattern مظبوط؟ اه إذا
+
+56
+00:05:13,750 --> 00:05:19,550
+بتتذكروا لأن هذه القيمةهنا عبارة عن ايش في الجدول
+
+57
+00:05:19,550 --> 00:05:23,970
+تي واحد او اس بتساوي ستة نقص ال K بتساوي كده اش
+
+58
+00:05:23,970 --> 00:05:27,610
+واحد اتنين ستة نقص اتنين بتساوي اربع اربع
+
+59
+00:05:27,610 --> 00:05:33,750
+positions هذا الكلام غالبا بيبقى خلاص مابديش اكتر
+
+60
+00:05:33,750 --> 00:05:38,950
+من هيك لكن احيان القيام هذه ممكن تطلع negative او
+
+61
+00:05:38,950 --> 00:05:44,060
+zeroيعني بيبقى عندي القيمة اللي ال T1 of C قيمتها
+
+62
+00:05:44,060 --> 00:05:47,980
+صغيرة و ال K بتبقى أكبر منها يعني بيبقى ماشي short
+
+63
+00:05:47,980 --> 00:05:54,880
+طويل ماشي أربع مقارنات ف K بيساوي أربعة و T1 of C
+
+64
+00:05:54,880 --> 00:05:57,920
+بتبقى واحد او اتنين او كده أقل من أربعة فبيطلع
+
+65
+00:05:57,920 --> 00:06:03,520
+negative لذلك إذا كان هذا المقدار أقل من الواحد
+
+66
+00:06:09,290 --> 00:06:13,090
+إذا أقل من واحد فباخد الواحد إذا أكبر من واحد
+
+67
+00:06:13,090 --> 00:06:19,290
+باخده فهنا max of يا
+
+68
+00:06:19,290 --> 00:06:24,290
+إما المقدار هذا يا إما الواحد منهم أكبر باخده هذا
+
+69
+00:06:24,290 --> 00:06:31,210
+الأن أصبح D1 D1 هذه في الـ Boyer Moore بستخدمها في
+
+70
+00:06:31,210 --> 00:06:38,390
+حالات و في حالات أخرى بستخدمباكتفي فيها يعني في
+
+71
+00:06:38,390 --> 00:06:41,970
+حالات باكتفي فيها و في حالات أخرى و باكتفيش فيها
+
+72
+00:06:41,970 --> 00:06:47,390
+بروح بحسب D2 و باخد مين فيهم الأكبر D1 او D2
+
+73
+00:06:47,390 --> 00:06:54,350
+الأكبر يعني بالمحصلة الـ Boyer Moore ال
+
+74
+00:06:54,350 --> 00:07:03,310
+distance فيها بتساوي اما D1 او ال maximum ما بين
+
+75
+00:07:03,310 --> 00:07:12,400
+D1 و D2متى باكتفي بـD1 ومتى بأحسب D2 و باخد ال
+
+76
+00:07:12,400 --> 00:07:20,680
+maximum D1 if K بالساوية Zero يعني إذا حصلت ال
+
+77
+00:07:20,680 --> 00:07:26,920
+mismatch من أول مطابقة من أول مقارنة بدلا من غلطة
+
+78
+00:07:26,920 --> 00:07:30,180
+بالمطابقة من أول مقارنة زي هنا مثلا مثلا هذه
+
+79
+00:07:30,180 --> 00:07:34,560
+المثال النهائي اللي انا هاروح عليه بي مع ك مافيش
+
+80
+00:07:34,560 --> 00:07:42,350
+مطابقة صح؟ف K بيساوي Zero فحسب D واحد وماحسبش D
+
+81
+00:07:42,350 --> 00:07:49,110
+اتنين حسب D واحد على أساس حرف ال K ال K هنا موجود
+
+82
+00:07:49,110 --> 00:07:57,190
+مش موجود يبقى T واحد of حرف ال K بيساوي ستة K
+
+83
+00:07:57,190 --> 00:08:05,180
+small اللي هو عدد المطابقات كداش Zero ستة ناقصدى
+
+84
+00:08:05,180 --> 00:08:11,420
+واحد ساوى ستة نقص Zero ساوى ستة فخلاص بقفز بمقدار
+
+85
+00:08:11,420 --> 00:08:22,280
+ستة لو زى هنا كان في عنده مطابقتين وفشل فى التالتة
+
+86
+00:08:22,280 --> 00:08:27,840
+K هنا ايش بتساوي اتنين فى هذا الحالة لازم احسب دى
+
+87
+00:08:27,840 --> 00:08:32,920
+واحد و احسب او اجيب دى اتنينماقلتش احسب D2 لانه D2
+
+88
+00:08:32,920 --> 00:08:39,960
+بجيبها على طول من الجدول اما D1 هي حاصل الفرق عشان
+
+89
+00:08:39,960 --> 00:08:45,480
+قلت بحسب D1 بساوي ايش هذا T1 في ايش الفراغ لان
+
+90
+00:08:45,480 --> 00:08:51,960
+الفراغ هو اللي حصل عنده المطابق ال mismatch الفراغ
+
+91
+00:08:51,960 --> 00:08:56,540
+ايضا و انا مش موجود في ال pattern يبقى ال T1 بساوي
+
+92
+00:08:56,540 --> 00:09:03,630
+6 6 الان ناقص جداشنقص عدد المطابقات K-small بيساوي
+
+93
+00:09:03,630 --> 00:09:09,530
+اتنين تمام ستة نقص نم ساوي اربعة الان هل هيقفز
+
+94
+00:09:09,530 --> 00:09:14,530
+اربعة لأ لازم يروح يحسب او يجيب دي خمسة دي اتنين
+
+95
+00:09:14,530 --> 00:09:18,110
+دي اتنين هلقا هنحكي فيها دي اتنين بيساوي خمسة
+
+96
+00:09:18,110 --> 00:09:23,090
+فبياخد ال maximum وبيقفز خمس قفزات نحكي الان في دي
+
+97
+00:09:23,090 --> 00:09:27,150
+اتنين واضحة في هذه الصورة انه بالمحاصلة
+
+98
+00:09:35,430 --> 00:09:40,390
+بالمحصلة مقدار القفزة في الـ Boyer Moore بتعتمد
+
+99
+00:09:40,390 --> 00:09:46,050
+على الـ K إذا الـ K بيساوي Zero فيها D واحد D واحد
+
+100
+00:09:46,050 --> 00:09:50,190
+اللي هي ال maximum مرة أخرى لا تنسيش ال maximum ما
+
+101
+00:09:50,190 --> 00:09:53,670
+بين هذا و الواحد لأن هذا المقدار لحاله متحسبيه
+
+102
+00:09:53,670 --> 00:09:57,770
+ممكن يطلع Negative أو Zero ففي هذا الحالة مابقدرش
+
+103
+00:09:57,770 --> 00:10:02,130
+أقفز Negative أرجع لوراه أو أضلني مكاني
+
+104
+00:10:08,270 --> 00:10:14,170
+فإذا K أكبر من 0 يكون حسب D1 إذا كان K أكبر من 0
+
+105
+00:10:14,170 --> 00:10:19,170
+يكون حسب D2 ويتقارن مع D1 ويأخذ ال maximum ماهو
+
+106
+00:10:19,170 --> 00:10:25,150
+الان D2؟ احنا
+
+107
+00:10:25,150 --> 00:10:29,970
+لم نقول الجدول هذا الجدول هذا هو نفسه shift table
+
+108
+00:10:31,310 --> 00:10:36,670
+الهورسبول هنا ايش سمناه سمناه ال bad symbol table
+
+109
+00:10:36,670 --> 00:10:41,750
+هذا التاني اللي هو ايش اسمه ال good suffix table
+
+110
+00:10:41,750 --> 00:10:52,850
+ال good suffix table احنا
+
+111
+00:10:52,850 --> 00:10:58,870
+بنعمل برضه analysis على ال pattern هنا
+
+112
+00:11:01,130 --> 00:11:04,490
+الجدول هذا اتشكل بناء عن ال pattern و ال alphabet
+
+113
+00:11:04,490 --> 00:11:08,810
+بشوف كل حرف من أحرف ال alphabet هل موجود في ال
+
+114
+00:11:08,810 --> 00:11:12,110
+pattern و إذا موجود على بعد جداش من اليمين هنا
+
+115
+00:11:12,110 --> 00:11:15,070
+بانظرش لل alphabet بانظر لل pattern في حتة ذاتها
+
+116
+00:11:15,070 --> 00:11:20,790
+بطلع على ال suffix ايش هو ال suffix اللي هو جزء من
+
+117
+00:11:20,790 --> 00:11:26,870
+النهاية و ال prefix هو جزء من البداية صح فباخد ال
+
+118
+00:11:26,870 --> 00:11:32,230
+suffixesواحد ورا التالي يعني في المرة الأولى ال
+
+119
+00:11:32,230 --> 00:11:35,610
+suffix اللي طوله one character المرة التانية ال
+
+120
+00:11:35,610 --> 00:11:41,070
+suffix طوله characterين تلاتة أربعة خمسة وخلاص لأن
+
+121
+00:11:41,070 --> 00:11:46,970
+هذا ال suffix اللي طوله واحد هل موجود مرتين على
+
+122
+00:11:46,970 --> 00:11:51,790
+بواة جداش أول واحدة اتنين هذا اللي فوق الكائنات
+
+123
+00:11:53,400 --> 00:12:01,140
+الان يبقى على k and k بساوي واحد D2 بتساوي اتنين
+
+124
+00:12:01,140 --> 00:12:07,720
+بمعنى اخر ان اذا كنت انا بجري عملية المقارنةوحصلت
+
+125
+00:12:07,720 --> 00:12:11,920
+مطابقات بعدد واحد فقط يعني ال B هذه وكانت
+
+126
+00:12:11,920 --> 00:12:15,200
+العجبالها برضه في ال text B ففي عندي مطابقة
+
+127
+00:12:15,200 --> 00:12:19,640
+وانتقلت للي بعدها و هنا حصل عدم المطابقة فحتى الآن
+
+128
+00:12:19,640 --> 00:12:26,860
+ال K بتساوي one انا الآن بدأ اقفز المفروض اقفز
+
+129
+00:12:26,860 --> 00:12:31,360
+لأنه في mismatch ال K جداش عند هذه اللحظة تساوي
+
+130
+00:12:31,360 --> 00:12:31,840
+واحد
+
+131
+00:12:34,550 --> 00:12:39,310
+لأن جداش الـ D2 أنتهى هذه اللحظة اللي هي بعد أول
+
+132
+00:12:39,310 --> 00:12:48,370
+.. أول إيش؟ أول incident أو نسخة من ما تم مطابقته
+
+133
+00:12:48,370 --> 00:12:52,430
+حتى الآن على بعد جداش حين ما تم مطابقته اللي هو
+
+134
+00:12:52,430 --> 00:12:56,750
+الـ B أول نسخة منه على بعد اتنين هنا الآن الـ AB
+
+135
+00:12:59,030 --> 00:13:05,050
+على مرة تانية نكرر نفس المنطق ان انا مقارن و هندي
+
+136
+00:13:05,050 --> 00:13:11,210
+مطابقة ال b و ال a و حصلت ال mismatch بعدهم okay
+
+137
+00:13:11,210 --> 00:13:18,230
+الان هذا الكلام وين موجود مش موجود بالمرة لكن
+
+138
+00:13:18,230 --> 00:13:22,710
+موجود جزء منه اذا انا ماجددش الاجي ال goods هذا
+
+139
+00:13:22,710 --> 00:13:27,780
+اسمه good suffix good لانه مطابقالـ Good suffix
+
+140
+00:13:27,780 --> 00:13:33,620
+اللي لم أجده كله لم أجد نسخة أخرى منه بداخل ال
+
+141
+00:13:33,620 --> 00:13:40,020
+pattern بشوف على الأقل لو فيه prefix منه أمام؟ لو
+
+142
+00:13:40,020 --> 00:13:44,400
+فيه جزء منه أو أسف لو فيه prefix من ال pattern
+
+143
+00:13:44,400 --> 00:13:50,780
+يطابق جزء من ال suffix هذا عند ال B هنا تطابق صح؟
+
+144
+00:13:50,780 --> 00:13:54,520
+ماشي ال A على بعد كم؟ على بعد خمسة
+
+145
+00:14:02,840 --> 00:14:06,860
+Okay اللي بدك تنتبهيله انه طب ما هي ال B هذه برضه
+
+146
+00:14:06,860 --> 00:14:12,240
+موجودة على بواب واحد انا لازم افلت لازم افلت
+
+147
+00:14:12,240 --> 00:14:18,020
+character بعد ال suffix لازم اول character بعد ال
+
+148
+00:14:18,020 --> 00:14:24,880
+suffix اتجهله و بعدين بدور على اول B على اول على
+
+149
+00:14:24,880 --> 00:14:31,870
+ال suffix هذا مالاجيتوش بشوف ايشجزء منه موجود لجيت
+
+150
+00:14:31,870 --> 00:14:36,570
+ال B كجزء على بعد خمسة و هدولة كلهم زي هيك لأنه
+
+151
+00:14:36,570 --> 00:14:42,010
+كلهم برضه لما باخد .. لما باخد التلت أحرف هلاجي
+
+152
+00:14:42,010 --> 00:14:44,730
+نفس قضية لما باخد الأربع أحرف نفس قضية خمس أحرف
+
+153
+00:14:44,730 --> 00:14:49,670
+هلاجي نفس قضية انا .. انا ال table هذا هو اللي
+
+154
+00:14:49,670 --> 00:14:54,310
+بستند الي حساب D2 او مش حساب خلاص look up ل D2
+
+155
+00:14:54,310 --> 00:15:01,510
+يعني D2 هذا مباشرة بجيبها بقول انازي ما في عندي
+
+156
+00:15:01,510 --> 00:15:08,990
+انا T1 بعطيها C عشان اشوف جداش في الجدول هذا الحرف
+
+157
+00:15:08,990 --> 00:15:14,810
+هذا جداش القفزة عنده برضه كذلك الحال T2 الجدول 2
+
+158
+00:15:14,810 --> 00:15:19,450
+بعطيها ايش عشان
+
+159
+00:15:19,450 --> 00:15:29,300
+اشوف جداش مقدار القفزةهنا الـ T1 هادى هاخدها لسه و
+
+160
+00:15:29,300 --> 00:15:35,980
+أدخلها في الحسبة عشان أطلع D1 بينما T2 مباشرة هي
+
+161
+00:15:35,980 --> 00:15:43,620
+بالساوية D2 خلينا نطلع هذا الكلام عمليا فى المثال
+
+162
+00:15:43,620 --> 00:15:49,100
+اللى روحنا عليه نرجعله تانى اللى هو هذا نفسه هى
+
+163
+00:15:49,100 --> 00:15:55,530
+الجدولينمظبوط هذه الجدولين الجدول هذا اللي هو ال
+
+164
+00:15:55,530 --> 00:16:01,690
+bad symbol وهذا ال good suffix
+
+165
+00:16:01,690 --> 00:16:07,450
+okay بنان نطلع على ال example لان الكلمة العبارة
+
+166
+00:16:07,450 --> 00:16:07,970
+اللي عندي
+
+167
+00:16:13,100 --> 00:16:18,380
+بدي أدور فيها في ال text هذا على ال pattern هذه زي
+
+168
+00:16:18,380 --> 00:16:23,400
+ال horse pool بنبدأ من الأول صحيح لكن يعني بنحاذي
+
+169
+00:16:23,400 --> 00:16:28,940
+لكن بنبدأ المقارنة من اليمين بي مع كي مافيش مطابقة
+
+170
+00:16:28,940 --> 00:16:34,100
+mismatch كي جدش الان zero أستخدم هذا أنهي دي واحد
+
+171
+00:16:34,100 --> 00:16:37,400
+و أنا مغمض مصبوط طيب إيش دي واحد بساوي دي واحد
+
+172
+00:16:37,400 --> 00:16:43,720
+بساوي ال maximum بين T إيش T واحد of C إيش Cحرف ال
+
+173
+00:16:43,720 --> 00:16:48,060
+K جداش حرف ال K في ال table في أي table طبعا ال
+
+174
+00:16:48,060 --> 00:16:52,360
+table اللي هو الأولاني ال bad symbol و أنا مغمض ال
+
+175
+00:16:52,360 --> 00:16:55,780
+K موجودة مش موجودة يبقى ستة مظبوط ستة واحد اتنين
+
+176
+00:16:55,780 --> 00:16:59,420
+تلت اربع خمس ستة okay لو عندك pattern تاني و طولها
+
+177
+00:16:59,420 --> 00:17:03,700
+تاني مش دايما تستخدم الستة اه okay الان ستة ناقص
+
+178
+00:17:03,700 --> 00:17:09,690
+ايش K K Zero خلاص هاي ستة ناقص Zero بساوي ايشالـ6
+
+179
+00:17:09,690 --> 00:17:13,350
+هذه باخد نفسها ما هي، لو انها الـ0، لو طلعت معاها
+
+180
+00:17:13,350 --> 00:17:17,010
+الـ0 او سالب، باخد واحد، تمام؟ ابقى على طول بقف
+
+181
+00:17:17,010 --> 00:17:21,630
+الـ6، 6 يعني تخيلي سحبتي انت ال pattern هذي جرتيها
+
+182
+00:17:21,630 --> 00:17:26,630
+قفزة، تنتين، تلاتة، اربعة، خمسة، ستة، اجت الآن
+
+183
+00:17:26,630 --> 00:17:31,310
+الـB أجبال الـB، انت بتسحب ال pattern كلها، okay؟
+
+184
+00:17:31,430 --> 00:17:36,350
+في مقارنة في مطابقة نعم هنا مافيش مطابقة عندنا كي
+
+185
+00:17:36,350 --> 00:17:41,770
+بالساوي اتنين يبقى لازم احسب دي واحد او اعمل look
+
+186
+00:17:41,770 --> 00:17:48,140
+up ل دي اتنين دي واحد ايش بالساويالحرف اللي حصل
+
+187
+00:17:48,140 --> 00:17:51,020
+عنده عدم المطابقة اللي هو اتول كنا بنحكي في الكلام
+
+188
+00:17:51,020 --> 00:17:56,420
+هذا ال space طبعا ستة ناقص k بساوة اتنين اللي هي
+
+189
+00:17:56,420 --> 00:18:02,460
+ستة ناقص اتنين اربع okay الان دي اتنين بتروح على
+
+190
+00:18:02,460 --> 00:18:07,420
+الجدول دي اتنين احسب ل k جداش k small طبعا هذه
+
+191
+00:18:07,420 --> 00:18:13,960
+okay قيمة k هنا جداش اتنين في الجدول and k بساوة
+
+192
+00:18:13,960 --> 00:18:19,780
+اتنين دي جداش بتكون خمسة دي اتو خمسةفي خمسة خمسة و
+
+193
+00:18:19,780 --> 00:18:24,000
+الاربعة من ال maximum خمسة فبروح بقفز خمس قفزات
+
+194
+00:18:24,000 --> 00:18:30,460
+يعني ال B بدا تتحرك هيتو ال B بدا تتحرك واحد اتنين
+
+195
+00:18:30,460 --> 00:18:36,260
+تلاتة اربعة خمسة بتصير تحت
+
+196
+00:18:36,260 --> 00:18:40,000
+ال B لان هنا عندنا في مطابقة واحدة و mismatch بعد
+
+197
+00:18:40,000 --> 00:18:45,020
+هيك كي بتسوي واحد فلازم احسب دي واحد و اجيب دي
+
+198
+00:18:45,020 --> 00:18:51,460
+اتنين نفس الاشي هيتوستة ناقص كي بساوي خمسة و دي
+
+199
+00:18:51,460 --> 00:18:56,120
+اتنين اتنين يبقى خمسة في ال maximum خمسة فبقفز
+
+200
+00:18:56,120 --> 00:19:01,260
+خمسة تيجي هنا حتى هتنتهي عملية البحث لأن كله مضعف
+
+201
+00:19:01,260 --> 00:19:06,320
+واضح okay
+
+202
+00:19:06,320 --> 00:19:11,800
+فأصبح أنه احنا بدنا نعمل نفس الجدول تبع ال horse
+
+203
+00:19:11,800 --> 00:19:17,540
+pool زائد بنعمل الجدول البسيط التاني تبعالـ .. الـ
+
+204
+00:19:17,540 --> 00:19:22,320
+good suffix تمام؟
+
+205
+00:19:22,320 --> 00:19:25,840
+ال algorithm .. ال algorithm موجود الناس طبعا
+
+206
+00:19:25,840 --> 00:19:32,860
+حياته خلاص ال answer هي اللي واضح steps طبعا أول
+
+207
+00:19:32,860 --> 00:19:38,290
+إشيلازم ا construct الـ bad symbol و بعدين برضه ا
+
+208
+00:19:38,290 --> 00:19:40,770
+construct ال good suffix هدول step one و step two
+
+209
+00:19:40,770 --> 00:19:44,690
+step تلتة align يعني بدأ ابدأ من البداية و بعدين ا
+
+210
+00:19:44,690 --> 00:19:48,730
+repeat اللي هي عملية المقارنات و المطابقات على
+
+211
+00:19:48,730 --> 00:19:54,030
+أساس الحسبة هذه D1
+
+212
+00:19:54,030 --> 00:19:56,550
+where D1 هي maximum of
+
+213
+00:20:12,690 --> 00:20:15,690
+أيوة ماشي الحاجة احنا هيك خلاص بتكون الان واضحة
+
+214
+00:20:15,690 --> 00:20:20,430
+عيننا ال two algorithms اللي جايين كمثال على ال
+
+215
+00:20:20,430 --> 00:20:23,610
+مثال ا ا مثال ا ا مثال ا ا مثال ا ا مثال ا ا مثال
+
+216
+00:20:23,610 --> 00:20:23,870
+ا ا مثال ا ا مثال ا ا مثال ا ا مثال ا ا مثال ا ا
+
+217
+00:20:23,870 --> 00:20:24,070
+مثال ا ا مثال ا ا مثال ا ا مثال ا ا مثال ا ا مثال
+
+218
+00:20:24,070 --> 00:20:24,250
+مثال ا ا مثال ا ا مثال ا ا مثال ا ا مثال ا ا مثال
+
+219
+00:20:24,250 --> 00:20:29,280
+مثال ا مثال ا مثالهذا بيكون نهاية سكشن سبعة تلاتة
+
+220
+00:20:29,280 --> 00:20:33,640
+.. السبعة اتنين آسف في نهاية السبعة اتنين في عندنا
+
+221
+00:20:33,640 --> 00:20:40,180
+أسئلة للامتحان تدربي على الأسئلة من واحد لتسعة لل
+
+222
+00:20:40,180 --> 00:20:48,700
+homework سلمي السؤال الأول والتاني سكشن
+
+223
+00:20:48,700 --> 00:20:54,600
+سبعة اتنين المحاضرة جاي ان شاء اللهassignment
+
+224
+00:20:54,600 --> 00:20:59,340
+السابق احنا برضه طلبنا هو هذا اه ايه و ماطلبناش
+
+225
+00:20:59,340 --> 00:21:05,260
+على اللي هو ال input على ال comparison counting
+
+226
+00:21:05,260 --> 00:21:10,660
+خلاص فاحنا بنبدأ من من هذا ال exercise و اللي كمان
+
+227
+00:21:10,660 --> 00:21:17,960
+شوية بعد section سبعة تلاتة طيب
+
+228
+00:21:17,960 --> 00:21:22,820
+الآن سبعة تلاتةبينتقل للنوع التاني الآن من ال
+
+229
+00:21:22,820 --> 00:21:28,040
+trade-off اللي هو input enhancement والتاني كان
+
+230
+00:21:28,040 --> 00:21:34,500
+restructuring نعمل data structure اللي ساعد في شغل
+
+231
+00:21:34,500 --> 00:21:39,720
+ال algorithm ال hashing مثال مباشر على ذلك والمثال
+
+232
+00:21:39,720 --> 00:21:45,000
+التاني في section 7 أربعة هيكون اللي هو ال B-tree
+
+233
+00:21:46,150 --> 00:21:49,210
+أعتقد الـ hashing و الـ B-tree أيضا عندكم فكرة
+
+234
+00:21:49,210 --> 00:21:53,730
+مسبقة عنه بنمر عليهم على السريع الآن ال hashing
+
+235
+00:21:53,730 --> 00:21:57,090
+طبعا فينا حاجة اسمها ال hash table و ال hash
+
+236
+00:21:57,090 --> 00:22:02,930
+function ال hash table أو بالأول ال hash function
+
+237
+00:22:02,930 --> 00:22:07,750
+هي برعنة function بتاخد
+
+238
+00:22:07,750 --> 00:22:13,960
+ال keyوبتحسب منه الـ hash address الـ hash address
+
+239
+00:22:13,960 --> 00:22:18,520
+هو المكان اللي بده يحفظ فيه هذا ال key بداخل ال
+
+240
+00:22:18,520 --> 00:22:19,080
+hash table
+
+241
+00:22:43,670 --> 00:22:55,390
+طبعا ال keys هي دي هي عبارة عن قيم ب .. قيم ال
+
+242
+00:22:55,390 --> 00:22:59,490
+values اللي بدأت تتخزن ماشي احنا بستميها keys لأن
+
+243
+00:22:59,490 --> 00:23:03,410
+غالبا بتيجي في إطار زي مثلا اللي هو ال database
+
+244
+00:23:06,160 --> 00:23:10,080
+واللي ممكن يبقى في أنحاء اسم الـ symbol table في
+
+245
+00:23:10,080 --> 00:23:14,400
+ال .. في ال compiler المهم أنه احنا هذه ال keys
+
+246
+00:23:14,400 --> 00:23:20,700
+غالبا بتبقى قيمة عددية لو مش عددية بنروح بنشتق
+
+247
+00:23:20,700 --> 00:23:23,940
+منها القيمة العددية يعني مثلا إذا مش عددية هتبقى
+
+248
+00:23:23,940 --> 00:23:27,880
+text text يعني أحرف الأحرف ناخد ال ASCII value
+
+249
+00:23:27,880 --> 00:23:32,680
+تبعها okay ال ASCII value لو .. هذا لو character
+
+250
+00:23:32,680 --> 00:23:37,290
+واحد لو قدت charactersلو الـ key الواحد هو عبارة
+
+251
+00:23:37,290 --> 00:23:42,650
+عن كلمات زي مثلا هنا هاي في المثال هذا هدولة keys
+
+252
+00:23:42,650 --> 00:23:47,190
+كل واحدة منهم key بنحطهم بنخزنهم عشان بعد هي كان
+
+253
+00:23:47,190 --> 00:23:51,430
+يعمل عليهم search أو غيرهم فهذه كلهم كلمات الكلمة
+
+254
+00:23:51,430 --> 00:23:56,170
+الواحدة بنشوف الأحرف تبعتها و بناخد المجموعة يعني
+
+255
+00:23:56,170 --> 00:24:01,050
+مثلا هذه حرف واحد هذه أربع حروف تلاتة أفول هنا ال
+
+256
+00:24:01,050 --> 00:24:05,900
+F6الـ ASCII value تبعها الـ O خمستاش و بعدها
+
+257
+00:24:05,900 --> 00:24:11,820
+خمستاش مجموعة هذا الكلام كله ايش هذا الان هذا الان
+
+258
+00:24:11,820 --> 00:24:17,520
+ال hash function ال hash function هنا هي بقى عن ال
+
+259
+00:24:17,520 --> 00:24:22,740
+mod أخدت ال value تبع ال key و عملت mod على جدّيش
+
+260
+00:24:22,740 --> 00:24:26,900
+تلتاش ايش التلتاش هذه طول ال hash table
+
+261
+00:24:32,990 --> 00:24:36,950
+طول الـ hash table في هندي هذا مختلف عن n اللي هي
+
+262
+00:24:36,950 --> 00:24:44,390
+عدد ال keys عدد ال keys هذا n طول ال hash table M
+
+263
+00:24:44,390 --> 00:24:51,050
+لو هدوله متساوين معناته بتوقع ان كل key هيشجعد
+
+264
+00:24:51,050 --> 00:24:57,030
+لحاله في إدرس أو بالمعدل يعني بالمعدل
+
+265
+00:24:59,470 --> 00:25:04,630
+وهو غالبا أن الـ M يبقى أصغر من الـ N لأنه لن يكون
+
+266
+00:25:04,630 --> 00:25:09,990
+معاه دائما واسع لكل ال keys المحتملة ال keys ممكن
+
+267
+00:25:09,990 --> 00:25:15,190
+تبقى خاصة في ال database ممكن تبقى بالألاف واضح؟
+
+268
+00:25:15,190 --> 00:25:19,030
+يبقى الآن وضعت ايش يعني hash table ايش يعني hash
+
+269
+00:25:19,030 --> 00:25:21,110
+function ال hash function اللي هنشوفها في الأمثلة
+
+270
+00:25:21,110 --> 00:25:27,240
+دي كلها عبارة عن ال modبناخد قيمة ال key إذا هو
+
+271
+00:25:27,240 --> 00:25:32,840
+عددي بناخدها مباشرة mod m إذا مش عددي بنحول ال key
+
+272
+00:25:32,840 --> 00:25:36,860
+إلى قيمة عددية و بعدين بناخد القيمة هذه و mod m
+
+273
+00:25:36,860 --> 00:25:39,900
+تمام؟
+
+274
+00:25:39,900 --> 00:25:45,020
+الآن هذا الكلام من الطبيعي على طول يولد عندنا
+
+275
+00:25:45,020 --> 00:25:48,660
+تساؤل طيب ماذا لو حدث conflict؟ إيش يعني conflict؟
+
+276
+00:25:48,660 --> 00:25:55,940
+أكتر من إيش؟أيوة بالظبط اكتر من key ياخدوا نفس ال
+
+277
+00:25:55,940 --> 00:25:59,900
+hash address هدولة عبارة عن addresses ال hash
+
+278
+00:25:59,900 --> 00:26:02,540
+function أضيفتها عطيها ال key تعطينا ال address
+
+279
+00:26:02,540 --> 00:26:07,180
+مظبوط؟ أو ال hash value يعني فإذا أكتر من key وهذا
+
+280
+00:26:07,180 --> 00:26:14,140
+وارد جدا، هاي هنا مثلا، هاي 11 ال soon ال hash
+
+281
+00:26:14,140 --> 00:26:18,300
+address تبعها أو value 11 واللي قبلها أيضا، اللي
+
+282
+00:26:18,300 --> 00:26:24,600
+هي Rلأ R نعم R لو انتقلت أحرف ال mod تبحر مع 13
+
+283
+00:26:24,600 --> 00:26:28,040
+سوى و أيضا 11 بجهنا صار في conflict صار في
+
+284
+00:26:28,040 --> 00:26:32,520
+conflict فإيش العمل؟ لما نكون two keys بدهم
+
+285
+00:26:32,520 --> 00:26:39,680
+يتحملوا على نفس ال address إيش العمل؟ بنعمل في
+
+286
+00:26:39,680 --> 00:26:43,420
+أسلوبين للتعامل مع ال conflict إما بنعمل open
+
+287
+00:26:43,420 --> 00:26:47,890
+hashing أو closed hashing في ال open hashingبنروح
+
+288
+00:26:47,890 --> 00:26:56,870
+بنعمل chains of keys ال address الواحد في واقع
+
+289
+00:26:56,870 --> 00:27:03,610
+الأمر هو عبارة عن pointer على سلسلة اه فانا الآن
+
+290
+00:27:03,610 --> 00:27:11,610
+عندي are or soon هذه على فكرة عبارة هذه الكلمات
+
+291
+00:27:11,610 --> 00:27:15,370
+هذه بالشكل العبارة a fool and his money are soon
+
+292
+00:27:15,370 --> 00:27:20,930
+partedبمعنى الفول يعني المغفل أو السفيه اللي مغفل
+
+293
+00:27:20,930 --> 00:27:29,730
+و فلوسه سرعان ما يفترجوا احنا الآن بنتخيل ان واحدة
+
+294
+00:27:29,730 --> 00:27:37,150
+ورا التانية بنخزن فيهم قاعدين اجت الان كلمة R نحسب
+
+295
+00:27:37,150 --> 00:27:42,190
+ال hash value تبعها 11 فراحت على 11 الان مش هنحطها
+
+296
+00:27:42,190 --> 00:27:53,700
+على 11 هنحطها في nodeأو بداية سلسلة و
+
+297
+00:27:53,700 --> 00:27:59,320
+الان هيبقى في عندي pointer لسه فاضي لسه يعني مافيش
+
+298
+00:27:59,320 --> 00:28:02,400
+اشي بعدين لان لما تيجي soon و ينحسب الاشفار يطلع
+
+299
+00:28:02,400 --> 00:28:06,940
+برضه 11 لما نروح ال 11 و نلاقي انه في اشي فبنروح
+
+300
+00:28:06,940 --> 00:28:14,720
+نحط بعده اذا في اكتر برضه بدنا نحط هذا الحل الأول
+
+301
+00:28:14,720 --> 00:28:19,630
+هذا اللي هو ال open hashingبنجوسين Separate Chain
+
+302
+00:28:19,630 --> 00:28:27,370
+سلسلة منفصلة لكل address لكل hash value واضح هذا
+
+303
+00:28:27,370 --> 00:28:33,110
+الكلام الآن ال search بترتب عليه عمليةالـ delete
+
+304
+00:28:33,110 --> 00:28:38,130
+والـ add يعني انا لو بس بستعلم فقط يعني انا الآن
+
+305
+00:28:38,130 --> 00:28:42,270
+بدي ادور على كلمة R هل هي موجودة في ال data
+
+306
+00:28:42,270 --> 00:28:45,410
+structure ولا مش موجودة بدي اعمل عملية search بحث
+
+307
+00:28:45,410 --> 00:28:49,650
+فبروح اول شي بحسب ال R ايش ال hash value تبعها
+
+308
+00:28:49,650 --> 00:28:54,330
+بطلع 11 بروح على 11 لان ببدأ بحث في هذه السلسلة
+
+309
+00:28:54,330 --> 00:29:00,060
+okay لو بدي ابحث عن كلمة اخر قولي مثلا fourمافيش
+
+310
+00:29:00,060 --> 00:29:03,020
+forum مش موجودة اول اشي بجيب بال hash value تبعها
+
+311
+00:29:03,020 --> 00:29:07,180
+بروح على ال address بلاقي انه والله اما فاضي مافيش
+
+312
+00:29:07,180 --> 00:29:13,480
+pointer او ال pointer مقرب يعني او انه بلاقي فيه و
+
+313
+00:29:13,480 --> 00:29:18,820
+بروح بدور فيهم بلاقي hash ف okay هذا ال search
+
+314
+00:29:18,820 --> 00:29:23,440
+الان انا ممكن ابحث عشان ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+315
+00:29:23,440 --> 00:29:23,560
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+316
+00:29:23,560 --> 00:29:23,680
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+317
+00:29:23,680 --> 00:29:23,920
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+318
+00:29:23,920 --> 00:29:24,940
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+319
+00:29:24,940 --> 00:29:29,480
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا افنفس الأشي أصبح ال
+
+320
+00:29:29,480 --> 00:29:37,260
+delete و ال add أيضًا نعمل add زي عملية البناء
+
+321
+00:29:37,260 --> 00:29:40,480
+الأصلية يوم أحنا بنينا ال table بنيناها بنفس
+
+322
+00:29:40,480 --> 00:29:44,560
+الطريقة بنيجي بنعمل insert لإش جديد okay فكله في
+
+323
+00:29:44,560 --> 00:29:48,880
+الآخر قالية واحدة اللي هي نفسها مشابهة لقالية ال
+
+324
+00:29:48,880 --> 00:29:55,080
+insert التكوين ال table و ال searchOkay هذا ال
+
+325
+00:29:55,080 --> 00:30:01,020
+open hashing بالنسبة لل closed hashing بروحش بعمل
+
+326
+00:30:01,020 --> 00:30:06,140
+السلاسل هذه بروح بعمل اشي من هذا القبيل او اشي هذا
+
+327
+00:30:06,140 --> 00:30:10,100
+ال open هذا ال open hashing او separate chaining
+
+328
+00:30:10,100 --> 00:30:17,760
+هذا اللي هو هذا لسه ما ال closed ال closed اللي هو
+
+329
+00:30:17,760 --> 00:30:18,880
+ان انا ايش بسوي
+
+330
+00:30:21,950 --> 00:30:24,990
+هذه الان الـ hash addresses مش ال table لسه
+
+331
+00:30:24,990 --> 00:30:28,330
+addresses عندى ال R والسون يلهم نفس ال value أول
+
+332
+00:30:28,330 --> 00:30:32,910
+ما دخلت دخلت ال R فاتخزنت فيه 11 لإن لما جينا ..
+
+333
+00:30:32,910 --> 00:30:36,410
+لجينا السون برضه كمان بتطور على 11 وال11 already
+
+334
+00:30:36,410 --> 00:30:40,430
+مشغولة وانا مش هعمل ال chain فإيش بسوي ال closed
+
+335
+00:30:40,430 --> 00:30:43,250
+hash بروح بدور على ال next available هذه بتبقى لسه
+
+336
+00:30:43,250 --> 00:30:48,630
+فاضية فبروح بحطها بحطها على 12 كيف؟
+
+337
+00:30:50,610 --> 00:30:54,370
+الان لو فى عندي قيمة تانية اللى هى parted parted
+
+338
+00:30:54,370 --> 00:30:58,710
+المكان الصحيح تبقى حطنعش واحنا أخدناه بتروح
+
+339
+00:30:58,710 --> 00:31:03,390
+بندورلها على ال next available يعني أصبح سياسة
+
+340
+00:31:03,390 --> 00:31:08,110
+عامة أنه إذا روحت على ال location ولاجيته فاضي بحط
+
+341
+00:31:08,110 --> 00:31:11,870
+لاجيته مشغول ببدأ اتنقل بداخل ال hashtag
+
+342
+00:31:11,870 --> 00:31:17,290
+sequentially لغاية ما لاجي ال first available
+
+343
+00:31:17,290 --> 00:31:22,640
+location بحط فيههذا في الـ adding أو الـ insertion
+
+344
+00:31:22,640 --> 00:31:27,340
+في الـ searching لما أبحث بروح ببحث في نفس الأشياء
+
+345
+00:31:27,340 --> 00:31:30,200
+أنه أول شيء بجيب ال hashtag ببحث على كلمة soon
+
+346
+00:31:30,200 --> 00:31:35,100
+كلمة soon ال hash value تبقى 11 بروح على 11 بلاقي
+
+347
+00:31:35,100 --> 00:31:38,860
+R خلاص لأ مش موجودة لأ بروح بمشي على اللي بعد
+
+348
+00:31:38,860 --> 00:31:43,640
+لربما ألاجيها بضل أمشي لإمتى لحتي ألاجي مكان فاضي
+
+349
+00:31:43,640 --> 00:31:49,220
+بقعد بمشي و لجيت مكان فاضي يبقى مش موجود خلاصOkay
+
+350
+00:31:49,220 --> 00:31:54,560
+بعدين شغلة أخرى أنه عملية البحث بتبقى circular
+
+351
+00:31:54,560 --> 00:31:59,720
+يعني لما أصل لنهاية ال hash table ببدأ من البرج
+
+352
+00:31:59,720 --> 00:32:03,820
+التاني من الأول يعني الآن أنا مثلا جيت أحط parted
+
+353
+00:32:03,820 --> 00:32:10,810
+parted 12Parted الـ value تبعها 12 روحت على 12
+
+354
+00:32:10,810 --> 00:32:14,750
+لاجئت في كلمة soon جاعدة طيب خلص ال hash table لأ
+
+355
+00:32:14,750 --> 00:32:20,150
+بروح بكمل عملية البحث من البداية هذه بتكون فاضية
+
+356
+00:32:20,150 --> 00:32:24,690
+فبروح بحطها انا لان في ال insertion بروح بحط
+
+357
+00:32:24,690 --> 00:32:30,510
+parted لان parted بدل ما تجود على 12 جاعدة على 0 و
+
+358
+00:32:30,510 --> 00:32:34,330
+soon بدل ما تجود على 11 جاعدة على 12 okay
+
+359
+00:32:50,440 --> 00:32:55,500
+فيه بتظهر إشكالية صغيرة لأن احنا قلنا انه في الـ
+
+360
+00:32:55,500 --> 00:33:01,040
+closed هنا ال insertion وال search واضحة ال
+
+361
+00:33:01,040 --> 00:33:05,700
+insertion انه انا بحسب ال hash value بروح اذا
+
+362
+00:33:05,700 --> 00:33:10,040
+لجيته فاضي بحط فيه مالجيته مليان بروح ببدأ بحث عن
+
+363
+00:33:10,040 --> 00:33:15,810
+ال text availableال .. ال search بحسب ال hash
+
+364
+00:33:15,810 --> 00:33:20,770
+value بروح على ال location إذا لجيت المكان فاضي
+
+365
+00:33:20,770 --> 00:33:24,130
+معناته اللي أنا ببحث عنه مش موجود و خلاص بطلع إذا
+
+366
+00:33:24,130 --> 00:33:27,910
+لجيت في إشي بقارن الإشي باللي أنا ببحث عنه إذا هو
+
+367
+00:33:27,910 --> 00:33:32,510
+خلاص يبقى موجود مش هو بروح بلوغ عليه بعده و بستمر
+
+368
+00:33:32,510 --> 00:33:37,290
+إلا إما إن ألاجي مكان فاضي أو ..
+
+369
+00:33:41,650 --> 00:33:47,110
+مكان فاضي صح طيب الآن انا بدي اعمل delete بدي اعمل
+
+370
+00:33:47,110 --> 00:33:54,270
+delete ل R A R E A R E ال hash value تبقى 11 روحت
+
+371
+00:33:54,270 --> 00:33:56,910
+على 11 لجيتها موجودة وهي طبعا يعني يفترض انها تكون
+
+372
+00:33:56,910 --> 00:33:59,050
+موجودة كيف بدي اعمل delete لإيش ما .. روحت إيش
+
+373
+00:33:59,050 --> 00:34:03,290
+مسحتها صار مكانها إيش فاضي جيت بعد ذلك بدأ أدور
+
+374
+00:34:03,290 --> 00:34:08,240
+على soonحسبت ال hash value 11، روحت على 11، لجيته
+
+375
+00:34:08,240 --> 00:34:13,640
+فاضي، يفترض أوقف، بس هي قاعدة في الخلية اللي بعدي
+
+376
+00:34:13,640 --> 00:34:19,270
+على طول، وهذا خلل، هذا إشكلة إيه؟ إيش هسوي؟طب
+
+377
+00:34:19,270 --> 00:34:27,370
+معناه احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+378
+00:34:27,370 --> 00:34:30,810
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+379
+00:34:30,810 --> 00:34:31,550
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+380
+00:34:31,550 --> 00:34:31,950
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+381
+00:34:31,950 --> 00:34:34,150
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+382
+00:34:34,150 --> 00:34:34,310
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+383
+00:34:34,310 --> 00:34:37,630
+احنا احنا
+
+384
+00:34:37,630 --> 00:34:45,830
+احنا
+
+385
+00:34:45,830 --> 00:34:52,610
+احناقولي مثلا بحط القيمة minus one تمام؟ ايش هذا
+
+386
+00:34:52,610 --> 00:34:57,330
+بيسوي؟ انا الان روحت مساحة R و حطيت ناقص one الان
+
+387
+00:34:57,330 --> 00:35:03,690
+جيت ببحث عن سون سون 11 روحت على 11 لو لجيت 11
+
+388
+00:35:03,690 --> 00:35:07,430
+فاضية معناته خلاص لأ الان لجيت انا ناقص واحد ناقص
+
+389
+00:35:07,430 --> 00:35:12,510
+واحد هذا اشارة انه كان في اشي يبقى ما تكتفيش بان
+
+390
+00:35:12,510 --> 00:35:17,910
+سون تبعتك مش موجود عندي روح تدور في الجارةفي اللي
+
+391
+00:35:17,910 --> 00:35:26,590
+بعدها تمام؟ هذا
+
+392
+00:35:26,590 --> 00:35:34,130
+.. هذا .. هذا chaining و لا .. هيك صارت الـ
+
+393
+00:35:34,130 --> 00:35:37,670
+chaining إذا بدى أعمل مؤشر إذا بديش أعمل مؤشر
+
+394
+00:35:40,260 --> 00:35:44,600
+وهذا باستخدم الطريقة انه انا لما بامسح الكلمة او
+
+395
+00:35:44,600 --> 00:35:48,780
+ال key ال key لما بامسحه بروح بحط بدل اشارة انه
+
+396
+00:35:48,780 --> 00:35:53,300
+كان في هنا اشي اشارة لناقص واحد اي character خارج
+
+397
+00:35:53,300 --> 00:35:58,000
+نطاق اللي اللي ممكن ال keys تبقى يعني واحد من ال
+
+398
+00:35:58,000 --> 00:36:02,540
+keys واضح؟
+
+399
+00:36:02,540 --> 00:36:06,340
+خلاص الآن بس في نقطة اخرى صغيرة وهي ال efficiency
+
+400
+00:36:06,340 --> 00:36:12,050
+احنا فيها عندنابدنا نقدر ال efficiency على أساس
+
+401
+00:36:12,050 --> 00:36:17,990
+حاجة اسمها ال success average و ال unsuccess
+
+402
+00:36:17,990 --> 00:36:22,090
+average ايش يعني ال success يعني لما انا ابحث عن
+
+403
+00:36:22,090 --> 00:36:28,220
+key معينأكم عدد القفزات اللي هحتاجها إلى ان اني
+
+404
+00:36:28,220 --> 00:36:32,560
+ألاقيها ده success و لو هو مش موجود أكم عدد
+
+405
+00:36:32,560 --> 00:36:35,780
+القفزات اللي هحتاجها لحدين ما اكتشف انه مش موجود
+
+406
+00:36:35,780 --> 00:36:40,740
+اولا في ان حاجة اسمها يتبقى ان كل address محمل
+
+407
+00:36:40,740 --> 00:36:47,120
+عليه key واحد اما اذا N أكبر من M قولي N جد ال M
+
+408
+00:36:47,120 --> 00:36:51,860
+تلت مرات يعني N على M يسوى تلاتةيبقى بالـ average
+
+409
+00:36:51,860 --> 00:36:55,460
+ال address الواحد ممكن يكون محمل عليه تلات عناصر
+
+410
+00:36:55,460 --> 00:37:00,060
+يعني طول ال linked list هذه ممكن بال average تلاتة
+
+411
+00:37:00,060 --> 00:37:06,580
+okay okay فاستنادا
+
+412
+00:37:06,580 --> 00:37:12,840
+إلى ال load factor هذا ال alpha بتقدر ان انقدر ال
+
+413
+00:37:12,840 --> 00:37:18,860
+ايشSuccessful search الـ average number of
+
+414
+00:37:18,860 --> 00:37:24,040
+pointers inspected in successful searches Pointers
+
+415
+00:37:24,040 --> 00:37:28,340
+يعني أول ال address في حد ذاته لما أروح عليه هذا
+
+416
+00:37:28,340 --> 00:37:35,460
+مش قفزة مش pointer أول pointer بقى هذا من بين
+
+417
+00:37:35,460 --> 00:37:41,830
+الحساب يعني من أول pointerفالـ success average
+
+418
+00:37:41,830 --> 00:37:45,090
+بسوى واحد زاد الف على اتنين وال unsuccessful بسوى
+
+419
+00:37:45,090 --> 00:37:52,210
+الف على طول هذا في ال open hashing في ال closed
+
+420
+00:37:52,210 --> 00:37:57,730
+hashing المسألة مختلفة بالمجمل ماعطيني هو هنا ال
+
+421
+00:37:57,730 --> 00:38:03,460
+hashالمعادلة التابعتها هذا ال table بيقولي لو
+
+422
+00:38:03,460 --> 00:38:07,220
+Alpha خمسين في المية خمسين في المية يعني ايش؟ يعني
+
+423
+00:38:07,220 --> 00:38:18,680
+نص يعني ال N نص ال M مش ال Alpha بيساوي N
+
+424
+00:38:18,680 --> 00:38:22,640
+على M خمسين في المية يعني واحدة على اتنين صح؟
+
+425
+00:38:22,640 --> 00:38:27,600
+خيّلوا أن أنا فيدي عندي فبكون ال success
+
+426
+00:38:30,100 --> 00:38:35,400
+والـ Unsuccess هذه الـ average number of links
+
+427
+00:38:35,400 --> 00:38:46,120
+واحد و نص link دينه نص خمسة okay ماشي
+
+428
+00:38:46,120 --> 00:38:53,180
+الحال okay
+
+429
+00:38:53,180 --> 00:38:55,940
+عموما احنا الآن ال ..
+
+430
+00:39:03,350 --> 00:39:07,870
+ظال اخر نقطة اخرى هي ال characteristics تبع ال
+
+431
+00:39:07,870 --> 00:39:11,730
+hash function ال hash function لازم تكون ال hash
+
+432
+00:39:11,730 --> 00:39:16,670
+function متصفة بالتلات صفات هذه من الآخر ان ال
+
+433
+00:39:16,670 --> 00:39:19,330
+hash function has to be easy to compute هي في حالت
+
+434
+00:39:19,330 --> 00:39:22,700
+ذاتهاعندك ال mod هذا مثال مباشر على ذلك ال mod
+
+435
+00:39:22,700 --> 00:39:26,440
+عملية واحدة بسيطة بتنعمل حتى لما يكون عند ال key
+
+436
+00:39:26,440 --> 00:39:30,720
+عدة أحرف لما أنا بجيب ال asking value سبحهم و
+
+437
+00:39:30,720 --> 00:39:34,440
+جمحهم و جسمهم على ال mod بتظل الحسبة easy و
+
+438
+00:39:34,440 --> 00:39:39,540
+مابتاخدش وجد تاني وهذا أشي أساسي لأنه انا هستخدم
+
+439
+00:39:39,540 --> 00:39:41,920
+ال hash functional طول الوجد في ال search و في ال
+
+440
+00:39:41,920 --> 00:39:46,030
+delete و في الكلالشيء الثاني هاش فانكشن يجب أن
+
+441
+00:39:46,030 --> 00:39:50,670
+يقوم بمشاركة المفاتيح بين السلسل بطريقة عادية يعني
+
+442
+00:39:50,670 --> 00:39:53,930
+مايبقاش في عندي تكدس أنا صح لما أنا بقول ال
+
+443
+00:39:53,930 --> 00:40:00,830
+average ال average load
+
+444
+00:40:00,830 --> 00:40:06,350
+factorممكن تجيب ياندي هذا طولة سبعة وهذا طولة
+
+445
+00:40:06,350 --> 00:40:11,510
+اتنين وهذا طولة تلتة وهذا طولة اربعة اجمع المجموع
+
+446
+00:40:11,510 --> 00:40:14,930
+وجسم العدد يطلع معاه ال load factor واحد ونص وهذا
+
+447
+00:40:14,930 --> 00:40:22,670
+صغير which is good بس بيكون ال hash table مفرج
+
+448
+00:40:22,670 --> 00:40:27,790
+يعني فيه تحميل على بعض ال keys وفراغ في ال
+
+449
+00:40:27,790 --> 00:40:32,520
+addresses وفراغ في ال addresses الأخرىتمام؟ لأ ال
+
+450
+00:40:32,520 --> 00:40:35,780
+.. ال .. ال .. الـ good hash function should تبقى
+
+451
+00:40:35,780 --> 00:40:41,080
+مصممة بحيث انها ت distribute ال .. هذا evenly لما
+
+452
+00:40:41,080 --> 00:40:47,180
+يبقى ال keys نوميرك ال mod لحالها كافية انها تتوزع
+
+453
+00:40:47,180 --> 00:40:52,560
+ال values evenly النقطة الأخيرة تالتة انه hash
+
+454
+00:40:52,560 --> 00:40:55,900
+table size should not be excessively large
+
+455
+00:40:55,900 --> 00:40:59,740
+compared to the number of .. of keys يعني مايبقى
+
+456
+00:40:59,740 --> 00:41:05,210
+ال hash table كبيرمقارنة مع N يعني مايبقاش M كبيرة
+
+457
+00:41:05,210 --> 00:41:10,290
+مقارنة مع N لأن
+
+458
+00:41:10,290 --> 00:41:16,750
+هذا برضه بيأثر على اللي هو ال efficiency في ال
+
+459
+00:41:16,750 --> 00:41:21,990
+implementation طيب هي كده احنا بنكون خلصنا موضوع
+
+460
+00:41:21,990 --> 00:41:26,610
+ال hashing بنوعين اللي هو ال closed و ال open هذا
+
+461
+00:41:26,610 --> 00:41:31,160
+نهاية ال section 7-3سبعة تلاتة ال exercises تبعتها
+
+462
+00:41:31,160 --> 00:41:36,240
+made منهم من السبعة الأولى من واحد لسبعة و بدنا
+
+463
+00:41:36,240 --> 00:41:42,360
+نسلم واحد زاد اتنين okay فأصبح ان للمحاضرة الجاية
+
+464
+00:41:42,360 --> 00:41:45,920
+في اربع مسائل واحد زاد اتنين من هنا و واحد زاد
+
+465
+00:41:45,920 --> 00:41:49,480
+اتنين من سبعة اتنين ماشي الحلقة اعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Q9VXQbDDrRo_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Q9VXQbDDrRo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..2a92b88e6cc1c10130833633b4595b9952979bcb
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Q9VXQbDDrRo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4923, "start": 20.91, "end": 49.23, "text": "بسم الله الرحمن الرحيم السلام ع الشرف المرسلين اليوم ان شاء الله بنكمل عند النقطة اللي وقفنا فيها المحاضرة الماضية اللي كانت ال quick sort كان الموضوع العام هو divide and conquer وكنا شوفنا ال merge sort قبل وانتقلنا على ال quick sort طلعنا على ال algorithm وفهمنا ان هي ببساطة شديدة بتعتمد على ال partitioning algorithm اللي بتجسم ال array ال input يعني", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 6225, 25124, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 16472, 13412, 16606, 21984, 44945, 24793, 1211, 43242, 28239, 47432, 3660, 13672, 1829, 4032, 4587, 5172, 8315, 8978, 11296, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 13672, 1829, 25961, 2655, 2423, 1702, 1333, 25961, 9673, 2407, 11242, 45367, 18863, 10943, 31439, 9845, 293, 24136, 4032, 4117, 8315, 13412, 38688, 8315, 2423, 22183, 1333, 12174, 36150, 4032, 7649, 2655, 4587, 1211, 8315, 15844, 2423, 1702, 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multiplications اللي لازمة له ضرب A في B بساوي اتنين ال multiplication", "tokens": [1211, 15042, 47525, 10721, 5551, 11242, 25513, 383, 4724, 2655, 3794, 995, 45865, 316, 8978, 363, 23758, 23032, 12610, 3224, 426, 37037, 15730, 23032, 12610, 3224, 426, 6225, 8592, 7649, 5551, 5016, 35457, 11296, 6225, 42213, 2655, 6055, 1211, 2655, 16490, 9566, 2407, 9307, 29538, 28242, 36764, 24401, 3660, 9154, 16095, 6225, 3555, 9640, 3660, 18871, 37279, 10943, 1211, 20449, 8717, 9381, 2423, 14407, 24401, 9154, 23758, 2423, 17596, 763, 13672, 1829, 5296, 31377, 46007, 46740, 48812, 25513, 316, 8978, 363, 4724, 3794, 995, 45865, 1975, 2655, 1863, 9957, 2423, 27290], "avg_logprob": -0.2204483766918597, "compression_ratio": 1.6887755102040816, "no_speech_prob": 0.0, "words": [{"start": 1977.24, "end": 1977.52, "word": "لما", "probability": 0.67529296875}, {"start": 1977.52, "end": 1977.74, "word": " بدأ", "probability": 0.5517578125}, {"start": 1977.74, "end": 1978.12, "word": " أضرب", "probability": 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{"start": 1995.38, "end": 1995.74, "word": " نص", "probability": 0.9697265625}, {"start": 1995.74, "end": 1996.32, "word": " الواحد", "probability": 0.9153645833333334}, {"start": 1996.32, "end": 1996.46, "word": " من", "probability": 0.9677734375}, {"start": 1996.46, "end": 1996.76, "word": " هذا", "probability": 0.6669921875}, {"start": 1996.76, "end": 1998.38, "word": " ال", "probability": 0.248291015625}, {"start": 1998.38, "end": 1999.22, "word": " multiplications", "probability": 0.71435546875}, {"start": 1999.22, "end": 1999.44, "word": " اللي", "probability": 0.90966796875}, {"start": 1999.44, "end": 1999.82, "word": " لازمة", "probability": 0.96240234375}, {"start": 1999.82, "end": 2000.18, "word": " له", "probability": 0.86279296875}, {"start": 2000.18, "end": 2001.46, "word": " ضرب", "probability": 0.8876953125}, {"start": 2001.46, "end": 2001.82, "word": " A", "probability": 0.92578125}, {"start": 2001.82, "end": 2002.14, "word": " في", "probability": 0.97265625}, {"start": 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2315.24, "end": 2315.96, "word": " بينموا", "probability": 0.7491455078125}, {"start": 2315.96, "end": 2316.36, "word": " بنفس", "probability": 0.97705078125}, {"start": 2316.36, "end": 2316.92, "word": " المعدل", "probability": 0.98046875}, {"start": 2316.92, "end": 2317.36, "word": " الضرب", "probability": 0.7225748697916666}, {"start": 2317.36, "end": 2317.54, "word": " و", "probability": 0.81298828125}, {"start": 2317.54, "end": 2318.0, "word": " الجمع", "probability": 0.9786783854166666}, {"start": 2318.0, "end": 2318.98, "word": " هو", "probability": 0.66064453125}, {"start": 2318.98, "end": 2319.32, "word": " بنفس", "probability": 0.9501953125}, {"start": 2319.32, "end": 2319.7, "word": " المعدل", "probability": 0.9959309895833334}, {"start": 2319.7, "end": 2319.94, "word": " يبقى", "probability": 0.62353515625}, {"start": 2319.94, "end": 2320.46, "word": " الإجمال", "probability": 0.9783935546875}, {"start": 2320.46, "end": 2320.88, "word": " كله", "probability": 0.970703125}, {"start": 2320.88, "end": 2321.18, "word": " أيضا", "probability": 0.8974609375}, {"start": 2321.18, "end": 2321.4, "word": " هو", "probability": 0.9765625}, {"start": 2321.4, "end": 2321.78, "word": " إيش", "probability": 0.9119466145833334}], "temperature": 1.0}, {"id": 86, "seek": 235098, "start": 2322.52, "end": 2350.98, "text": "الـ N log التلاتة للألغوفم كلها إجمالي معدل النمو احنا الآن عاملين هذا هو المثال التالت اللي هو long أو large integer multiplication multiplication of large integers بأسلوب divide and conquer بدي إذا كان تمسكوا هذا ال example اللي في الآخر و اتكملوا", "tokens": [6027, 39184, 426, 3565, 16712, 1211, 9307, 3660, 24976, 10721, 1211, 17082, 38688, 2304, 28242, 11296, 11933, 7435, 2304, 6027, 1829, 20449, 3215, 1211, 28239, 2304, 2407, 1975, 5016, 8315, 6024, 48506, 6225, 10943, 1211, 9957, 23758, 31439, 9673, 12984, 6027, 16712, 6027, 2655, 13672, 1829, 31439, 938, 34051, 2416, 24922, 27290, 27290, 295, 2416, 41674, 4724, 10721, 3794, 1211, 37746, 9845, 293, 24136, 4724, 16254, 11933, 15730, 25961, 46811, 3794, 4117, 14407, 23758, 2423, 1365, 13672, 1829, 8978, 6024, 95, 34740, 4032, 1975, 2655, 24793, 1211, 14407], "avg_logprob": -0.26808285445309754, "compression_ratio": 1.5811965811965811, "no_speech_prob": 0.0, "words": [{"start": 2322.52, "end": 2322.88, "word": "الـ", "probability": 0.5289306640625}, {"start": 2322.88, "end": 2323.1, "word": " N", "probability": 0.492919921875}, {"start": 2323.1, "end": 2323.56, "word": " log", "probability": 0.56982421875}, {"start": 2323.56, "end": 2324.38, "word": " التلاتة", "probability": 0.729766845703125}, {"start": 2324.38, "end": 2325.94, "word": " للألغوفم", "probability": 0.5693562825520834}, {"start": 2325.94, "end": 2326.68, "word": " كلها", "probability": 0.9169921875}, {"start": 2326.68, "end": 2328.12, "word": " إجمالي", "probability": 0.810595703125}, {"start": 2328.12, "end": 2328.44, "word": " معدل", "probability": 0.9640299479166666}, {"start": 2328.44, "end": 2328.88, "word": " النمو", "probability": 0.8860677083333334}, {"start": 2328.88, "end": 2330.62, "word": " احنا", "probability": 0.7007242838541666}, {"start": 2330.62, "end": 2330.98, "word": " الآن", "probability": 0.721435546875}, {"start": 2330.98, "end": 2331.74, "word": " عاملين", "probability": 0.82916259765625}, {"start": 2331.74, "end": 2331.98, "word": " هذا", "probability": 0.9404296875}, {"start": 2331.98, "end": 2332.36, "word": " هو", "probability": 0.8505859375}, {"start": 2332.36, "end": 2333.14, "word": " المثال", "probability": 0.916015625}, {"start": 2333.14, "end": 2334.14, "word": " التالت", "probability": 0.9656575520833334}, {"start": 2334.14, "end": 2334.76, "word": " اللي", "probability": 0.789306640625}, {"start": 2334.76, "end": 2335.0, "word": " هو", "probability": 0.990234375}, {"start": 2335.0, "end": 2335.5, "word": " long", "probability": 0.72412109375}, {"start": 2335.5, "end": 2335.84, "word": " أو", "probability": 0.802734375}, {"start": 2335.84, "end": 2336.42, "word": " large", "probability": 0.9384765625}, {"start": 2336.42, "end": 2337.98, "word": " integer", "probability": 0.7958984375}, {"start": 2337.98, "end": 2338.98, "word": " multiplication", "probability": 0.806640625}, {"start": 2338.98, "end": 2339.72, "word": " multiplication", "probability": 0.53271484375}, {"start": 2339.72, "end": 2340.08, "word": " of", "probability": 0.9501953125}, {"start": 2340.08, "end": 2340.34, "word": " large", "probability": 0.96826171875}, {"start": 2340.34, "end": 2340.92, "word": " integers", "probability": 0.935546875}, {"start": 2340.92, "end": 2342.54, "word": " بأسلوب", "probability": 0.9046875}, {"start": 2342.54, "end": 2342.9, "word": " divide", "probability": 0.73583984375}, {"start": 2342.9, "end": 2343.12, "word": " and", "probability": 0.95166015625}, {"start": 2343.12, "end": 2343.72, "word": " conquer", "probability": 0.96826171875}, {"start": 2343.72, "end": 2345.78, "word": " بدي", "probability": 0.60552978515625}, {"start": 2345.78, "end": 2347.18, "word": " إذا", "probability": 0.781005859375}, {"start": 2347.18, "end": 2347.52, "word": " كان", "probability": 0.97802734375}, {"start": 2347.52, "end": 2348.44, "word": " تمسكوا", "probability": 0.8953857421875}, {"start": 2348.44, "end": 2348.7, "word": " هذا", "probability": 0.92333984375}, {"start": 2348.7, "end": 2349.0, "word": " ال", "probability": 0.9248046875}, {"start": 2349.0, "end": 2349.5, "word": " example", "probability": 0.77587890625}, {"start": 2349.5, "end": 2349.8, "word": " اللي", "probability": 0.953857421875}, {"start": 2349.8, "end": 2349.96, "word": " في", "probability": 0.95263671875}, {"start": 2349.96, "end": 2350.26, "word": " الآخر", "probability": 0.9178059895833334}, {"start": 2350.26, "end": 2350.4, "word": " و", "probability": 0.69189453125}, {"start": 2350.4, "end": 2350.98, "word": " اتكملوا", "probability": 0.791064453125}], "temperature": 1.0}, {"id": 87, "seek": 238137, "start": 2352.05, "end": 2381.37, "text": "كيف تحسبي الناتج خطوة بخطوة بال divide and conquer عشان تتمرنى على الطريقة طريقة ال algorithm بظل لنا المثال الأخير اللى هو ال matrix multiplication مش هيدل وقت فالمحاضرة الجاية ان شاء الله بنطلع عليه كيف ايضا كمان two matrices مضربهم ممكن نجزئهم بشكل مشابه لتجزئة ال long integers", "tokens": [4117, 33911, 6055, 5016, 35457, 1829, 28239, 9307, 7435, 16490, 9566, 2407, 3660, 4724, 9778, 9566, 2407, 3660, 20666, 9845, 293, 24136, 6225, 8592, 7649, 6055, 2655, 29973, 1863, 7578, 15844, 41950, 16572, 28671, 23032, 16572, 28671, 2423, 9284, 4724, 19913, 1211, 5296, 8315, 9673, 12984, 6027, 16247, 9778, 13546, 13672, 7578, 31439, 2423, 8141, 27290, 37893, 8032, 25708, 1211, 4032, 38149, 6156, 45340, 5016, 46958, 25720, 25724, 995, 10632, 16472, 13412, 16606, 21984, 44945, 9566, 1211, 3615, 47356, 9122, 33911, 1975, 1829, 11242, 995, 9122, 2304, 7649, 732, 32284, 3714, 11242, 25513, 16095, 3714, 43020, 8717, 7435, 11622, 19986, 16095, 4724, 8592, 28820, 37893, 16758, 3224, 5296, 2655, 7435, 11622, 19986, 3660, 2423, 938, 41674], "avg_logprob": -0.20419336995507917, "compression_ratio": 1.6218181818181818, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2352.05, "end": 2352.55, "word": "كيف", "probability": 0.931396484375}, {"start": 2352.55, "end": 2353.69, "word": " تحسبي", "probability": 0.85693359375}, {"start": 2353.69, "end": 2355.03, "word": " الناتج", "probability": 0.7765299479166666}, {"start": 2355.03, "end": 2355.83, "word": " خطوة", "probability": 0.972900390625}, {"start": 2355.83, "end": 2356.21, "word": " بخطوة", "probability": 0.96572265625}, {"start": 2356.21, "end": 2356.49, "word": " بال", "probability": 0.416748046875}, {"start": 2356.49, "end": 2356.79, "word": " divide", "probability": 0.364013671875}, {"start": 2356.79, "end": 2357.03, "word": " and", "probability": 0.9326171875}, {"start": 2357.03, "end": 2357.81, "word": " conquer", "probability": 0.98486328125}, {"start": 2357.81, "end": 2358.41, "word": " عشان", "probability": 0.8977864583333334}, {"start": 2358.41, "end": 2358.93, "word": " تتمرنى", "probability": 0.8294921875}, {"start": 2358.93, "end": 2359.15, "word": " على", "probability": 0.833984375}, {"start": 2359.15, "end": 2360.99, "word": " الطريقة", "probability": 0.9207356770833334}, {"start": 2360.99, "end": 2361.77, "word": " طريقة", "probability": 0.7272135416666666}, {"start": 2361.77, "end": 2361.89, "word": " ال", "probability": 0.86279296875}, {"start": 2361.89, "end": 2362.15, "word": " algorithm", "probability": 0.7421875}, {"start": 2362.15, "end": 2363.05, "word": " بظل", "probability": 0.44189453125}, {"start": 2363.05, "end": 2363.39, "word": " لنا", "probability": 0.67431640625}, {"start": 2363.39, "end": 2364.05, "word": " المثال", "probability": 0.9666341145833334}, {"start": 2364.05, "end": 2364.63, "word": " الأخير", "probability": 0.9012044270833334}, {"start": 2364.63, "end": 2364.83, "word": " اللى", "probability": 0.8583984375}, {"start": 2364.83, "end": 2365.13, "word": " هو", "probability": 0.9228515625}, {"start": 2365.13, "end": 2365.49, "word": " ال", "probability": 0.73193359375}, {"start": 2365.49, "end": 2365.79, "word": " matrix", "probability": 0.93798828125}, {"start": 2365.79, "end": 2366.67, "word": " multiplication", "probability": 0.88134765625}, {"start": 2366.67, "end": 2369.07, "word": " مش", "probability": 0.9443359375}, {"start": 2369.07, "end": 2369.39, "word": " هيدل", "probability": 0.583984375}, {"start": 2369.39, "end": 2369.79, "word": " وقت", "probability": 0.808837890625}, {"start": 2369.79, "end": 2370.95, "word": " فالمحاضرة", "probability": 0.95322265625}, {"start": 2370.95, "end": 2371.25, "word": " الجاية", "probability": 0.5516764322916666}, {"start": 2371.25, "end": 2371.37, "word": " ان", "probability": 0.83203125}, {"start": 2371.37, "end": 2371.49, "word": " شاء", "probability": 0.981201171875}, {"start": 2371.49, "end": 2371.65, "word": " الله", "probability": 0.95751953125}, {"start": 2371.65, "end": 2372.09, "word": " بنطلع", "probability": 0.776611328125}, {"start": 2372.09, "end": 2372.29, "word": " عليه", "probability": 0.5751953125}, {"start": 2372.29, "end": 2372.65, "word": " كيف", "probability": 0.9736328125}, {"start": 2372.65, "end": 2373.01, "word": " ايضا", "probability": 0.915771484375}, {"start": 2373.01, "end": 2373.41, "word": " كمان", "probability": 0.9777018229166666}, {"start": 2373.41, "end": 2374.17, "word": " two", "probability": 0.74072265625}, {"start": 2374.17, "end": 2374.77, "word": " matrices", "probability": 0.96728515625}, {"start": 2374.77, "end": 2376.01, "word": " مضربهم", "probability": 0.640167236328125}, {"start": 2376.01, "end": 2376.29, "word": " ممكن", "probability": 0.896240234375}, {"start": 2376.29, "end": 2377.13, "word": " نجزئهم", "probability": 0.8333984375}, {"start": 2377.13, "end": 2378.97, "word": " بشكل", "probability": 0.9578450520833334}, {"start": 2378.97, "end": 2379.53, "word": " مشابه", "probability": 0.96044921875}, {"start": 2379.53, "end": 2380.31, "word": " لتجزئة", "probability": 0.9854329427083334}, {"start": 2380.31, "end": 2380.57, "word": " ال", "probability": 0.6962890625}, {"start": 2380.57, "end": 2381.01, "word": " long", "probability": 0.8935546875}, {"start": 2381.01, "end": 2381.37, "word": " integers", "probability": 0.89306640625}], "temperature": 1.0}, {"id": 88, "seek": 238351, "start": 2382.61, "end": 2383.51, "text": "العطل يكون عاشر", "tokens": [6027, 3615, 9566, 1211, 7251, 30544, 6225, 33599, 2288], "avg_logprob": -0.5363281309604645, "compression_ratio": 0.7567567567567568, "no_speech_prob": 0.0, "words": [{"start": 2382.61, "end": 2382.97, "word": "العطل", "probability": 0.4681396484375}, {"start": 2382.97, "end": 2383.11, "word": " يكون", "probability": 0.986572265625}, {"start": 2383.11, "end": 2383.51, "word": " عاشر", "probability": 0.7359212239583334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2383.690875, "duration_after_vad": 2228.789374999992}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Q9VXQbDDrRo_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Q9VXQbDDrRo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..27591230022d0edd750e63182d17caafd780485c
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/Q9VXQbDDrRo_raw.srt
@@ -0,0 +1,1708 @@
+1
+00:00:20,910 --> 00:00:23,310
+بسم الله الرحمن الرحيم السلام ع الشرف المرسلين
+
+2
+00:00:23,310 --> 00:00:27,910
+اليوم ان شاء الله بنكمل عند النقطة اللي وقفنا فيها
+
+3
+00:00:27,910 --> 00:00:31,210
+المحاضرة الماضية اللي كانت ال quick sort كان
+
+4
+00:00:31,210 --> 00:00:35,290
+الموضوع العام هو divide and conquer وكنا شوفنا ال
+
+5
+00:00:35,290 --> 00:00:39,270
+merge sort قبل وانتقلنا على ال quick sort طلعنا
+
+6
+00:00:39,270 --> 00:00:43,950
+على ال algorithm وفهمنا ان هي ببساطة شديدة بتعتمد
+
+7
+00:00:43,950 --> 00:00:48,350
+على ال partitioning algorithm اللي بتجسم ال array
+
+8
+00:00:48,350 --> 00:00:52,910
+ال input يعنيالى قسمين على أساس ال pivot ال pivot
+
+9
+00:00:52,910 --> 00:00:56,670
+اللى هو أول عنصر بنشوف كل العناصر اللى أصغر منه
+
+10
+00:00:56,670 --> 00:01:01,870
+بتيجي قبله و الأكبر منه بيجي بعده وهذا الكلام
+
+11
+00:01:01,870 --> 00:01:05,470
+شفناه قبل هيكة في ال quick search عاملة ال search
+
+12
+00:01:05,470 --> 00:01:08,570
+او
+
+13
+00:01:08,570 --> 00:01:11,570
+في ال select في ال algorithm بتاعة ال selection
+
+14
+00:01:12,320 --> 00:01:15,220
+الان هو نفسه عملية ال partitioning هذه هو الأساس
+
+15
+00:01:15,220 --> 00:01:17,900
+اللى بتستند إليه ل quick sort لأنه بعد ما يتم ال
+
+16
+00:01:17,900 --> 00:01:21,000
+partitioning ال quick sort بتستند نفسها على الجزء
+
+17
+00:01:21,000 --> 00:01:25,040
+الأول عشان تكرر نفس الأمر و على الجزء التانى
+
+18
+00:01:25,040 --> 00:01:30,260
+التانى مع بعض okay شوفنا هذا الكلام الان ال
+
+19
+00:01:30,260 --> 00:01:32,500
+partitioning لما احنا حكينا في ال partitioning
+
+20
+00:01:32,500 --> 00:01:36,940
+المحاضرة الماضية حكينا عنه على أساس one way
+
+21
+00:01:36,940 --> 00:01:38,680
+partitioning
+
+22
+00:01:40,390 --> 00:01:43,390
+one way partitioning بمعنى انه مش في قادي انا
+
+23
+00:01:43,390 --> 00:01:51,410
+pivot في الأول ال pivot هذا ال index I بيمشي من
+
+24
+00:01:51,410 --> 00:01:55,590
+بعد ال pivot إلى الآخر اللي هو R ال R اللي هو ال
+
+25
+00:01:55,590 --> 00:02:00,010
+right end وال L اللي هو ال left end ال I بتستمر
+
+26
+00:02:01,960 --> 00:02:06,380
+بتلف على ال array طول كل ما بتلاقي أنصر أصغر من ال
+
+27
+00:02:06,380 --> 00:02:11,460
+pivot بترجعه لورا، بترجعه لورا، صح؟ في الآخر لما
+
+28
+00:02:11,460 --> 00:02:16,260
+تخلص ال I للآخر في عندها ال S بيكون .. بي .. بيأشر
+
+29
+00:02:16,260 --> 00:02:21,080
+على الآخر أنصر تم ترحيله، آخر أنصر تم ترحيله ل ..
+
+30
+00:02:21,080 --> 00:02:26,340
+لورا، ال S بتأشر عليه، بعد كلام ال I تكون خلصت ال
+
+31
+00:02:26,340 --> 00:02:32,940
+P بينعملها swap مع مين؟مالأس اقرأ انصر تم ترحيله
+
+32
+00:02:32,940 --> 00:02:36,580
+بيجي محل ال P و ال P بيجي محله و بيصبح ال pivot
+
+33
+00:02:36,580 --> 00:02:41,900
+الان جالس ال pivot جالس على المنطقة الفاصلة بين ال
+
+34
+00:02:41,900 --> 00:02:46,340
+two partitions هدولة الأصغر و الأكبر منه هذا one
+
+35
+00:02:46,340 --> 00:02:51,320
+way هذا اسمه one way partitioning
+
+36
+00:02:51,320 --> 00:02:54,680
+ال
+
+37
+00:02:54,680 --> 00:03:00,410
+quick sort ممكنتستخدم partitioning أخر أسرع شوية
+
+38
+00:03:00,410 --> 00:03:05,490
+اللي هو الـ two-way partitioning two-way
+
+39
+00:03:05,490 --> 00:03:08,890
+partitioning المعنى أن في عندي I بتمشي في اتجاه
+
+40
+00:03:08,890 --> 00:03:15,310
+وفي عندي كمان أيضا جي بتمشي في اتجاه العكسي جي
+
+41
+00:03:15,310 --> 00:03:20,190
+بتبدأ من R و بترجع رجوع كل مرة جي ساوي جي نقص واحد
+
+42
+00:03:20,190 --> 00:03:28,890
+ال I بتمشي لقدام ثم انه ال I تبحثعن أي عنصر الآن
+
+43
+00:03:28,890 --> 00:03:32,690
+هنا في الـ two way على عناصر اللي أكبر مش اللي
+
+44
+00:03:32,690 --> 00:03:38,190
+أصغر اللي أكبر إذا بتشوفه هي ماشي هيك ال mean ال I
+
+45
+00:03:38,190 --> 00:03:45,770
+عناصر أكبر من ال I من ال P جايين في المقدمة
+
+46
+00:03:45,770 --> 00:03:50,550
+بترحلهم للآخر لأن هنا هما كانوا مطبيعي والعكس من
+
+47
+00:03:50,550 --> 00:03:55,600
+ذلك الجيزة شافت عناصر أصغرمن ال P جيات في الآخر
+
+48
+00:03:55,600 --> 00:04:01,820
+بتروح بترميهم على ال بداية ال algorithm هي دي
+
+49
+00:04:01,820 --> 00:04:06,160
+بتمشي بالقاليع هاي مثلا عندي ال list خمسة تلاتة
+
+50
+00:04:06,160 --> 00:04:13,360
+واحد تسعة لو بنعملهم two way partitioning نبدأ من
+
+51
+00:04:13,360 --> 00:04:16,220
+الخمسة الخمسة هي ال pivot نبدأ من اللي بعدها اللي
+
+52
+00:04:16,220 --> 00:04:19,540
+هو التلاتة ال I بتأشر على التلاتة ال J بتأشر على
+
+53
+00:04:19,540 --> 00:04:27,010
+مين؟على سبعة سبعة هو ال lift وهو ال جيه الان من
+
+54
+00:04:27,010 --> 00:04:30,730
+عنده السبعة أكبر ولا أصغر نحن نقول الجيه بيترحل من
+
+55
+00:04:30,730 --> 00:04:35,110
+الصغار للبداية وال I بيترحل من الأكبر للنهاية
+
+56
+00:04:35,110 --> 00:04:41,770
+فالسبعة هذا مش أكبر من الخمس بيظله الأربعة أه فال
+
+57
+00:04:41,770 --> 00:04:46,670
+I هتجه في عند الأربعة ال جيه هتجه في عند الأربعة
+
+58
+00:04:46,670 --> 00:04:52,180
+ال I هتستمر لحد دي تماشيتصل للتسعة، التسعة هي أول
+
+59
+00:04:52,180 --> 00:04:58,220
+أنصحة وجهها قيمته أكبر من الخمسة، صح؟ فإحنا بنتخيل
+
+60
+00:04:58,220 --> 00:05:02,660
+الآن في Loop كبيرة، بس بداخل ال Loop كبيرة ال J و
+
+61
+00:05:02,660 --> 00:05:08,020
+ال I بيمشوا، كل واحد منهم في Loop، يعني ال J تمشي
+
+62
+00:05:08,830 --> 00:05:13,690
+لو وراه والـ I بتمشي حيجف الجي عند أول عنصر أصغر
+
+63
+00:05:13,690 --> 00:05:17,590
+والـ I عند أول عنصر أكبر لما بيجفوا الأتنين بطلع
+
+64
+00:05:17,590 --> 00:05:22,070
+الآن أو باخدهم على اساس أعمل swapping بعمل
+
+65
+00:05:22,070 --> 00:05:28,630
+swapping لمين؟ للأربعة والتسعة مثلا هذه لاجت ناس
+
+66
+00:05:28,630 --> 00:05:31,070
+مش في مكانهم وانا بدي أبدلهم كل واحد يروح على
+
+67
+00:05:31,070 --> 00:05:35,790
+مكانه okay فبتبدلوا
+
+68
+00:05:37,790 --> 00:05:43,730
+و بعد ذلك يتواصل التنتير يتواصل الى تلك الفرق كل
+
+69
+00:05:43,730 --> 00:05:49,490
+واحدة في تجاهها ال I أول أنصار بعد هذا هتلاقي برضه
+
+70
+00:05:49,490 --> 00:05:55,610
+هيكون ايش اكبر من خمسة فهتجف عنده ال J برضه كمان
+
+71
+00:05:55,610 --> 00:05:59,090
+هتلاقي الاتنين و هو أصغر من الخمسة بالنسبة لها
+
+72
+00:05:59,090 --> 00:06:05,250
+هتجف عنده هيصير swapping تمانى
+
+73
+00:06:05,250 --> 00:06:10,540
+و اتنينالان هتستمر و ال I هتقلط ال J و ال J هتقلط
+
+74
+00:06:10,540 --> 00:06:14,380
+ال I صح ال J صارت هنا و ال I صارت هنا فى هذه
+
+75
+00:06:14,380 --> 00:06:18,220
+النقطة بضحك تلاقي ان هو نفس العصر اللى شفته و
+
+76
+00:06:18,220 --> 00:06:24,280
+رحلته لحجة فإيش هتصير ان ال J .. ال I قلنا هتشوف
+
+77
+00:06:24,280 --> 00:06:27,180
+التمانى التمانى الأكبر هتوقف عنده ال J هتشوف
+
+78
+00:06:27,180 --> 00:06:34,440
+الأثنين الأصغر هتوقف عنده الآن لأن ال Jالـ J والـ
+
+79
+00:06:34,440 --> 00:06:38,140
+I اتجاوزوا بعض مانعش نعمل swapping هالحين مابينهم
+
+80
+00:06:38,140 --> 00:06:43,120
+هنعمل swapping مع مين الـ J و الخمسة الـ J و ال
+
+81
+00:06:43,120 --> 00:06:48,260
+pivot يعني تيجي ال pivot و الاتنين بترحل خلاص هيك
+
+82
+00:06:48,260 --> 00:06:51,840
+بتكون انتهت عملية ال partitioning صار الخمسة اللي
+
+83
+00:06:51,840 --> 00:06:56,700
+هو ال pivot في نص مابين في ال .. في الوسط مابين
+
+84
+00:06:56,700 --> 00:07:00,880
+اللي هو اللي أصغر منه و اللي أكبر منه بيجي بعد هيك
+
+85
+00:07:01,960 --> 00:07:05,920
+الـ quick sort تستدعي نفسها على هذا النص و على هذا
+
+86
+00:07:05,920 --> 00:07:10,940
+النص فلو تستدعي نفسها على هذا النص برضه بقالية ال
+
+87
+00:07:10,940 --> 00:07:13,740
+two way partitioning هتحط ال I هاي ال pivot
+
+88
+00:07:13,740 --> 00:07:17,740
+التانين هتحط ال I هنا و ال J هنا هد ترجع و هد تقدم
+
+89
+00:07:17,740 --> 00:07:24,580
+ايش هينتج عنه انه لما نصل ال J ال J ه .. ال J هتصل
+
+90
+00:07:24,580 --> 00:07:30,610
+ال .. هتصل ايش احنا قلنا بدها انصر اقلOkay هنا
+
+91
+00:07:30,610 --> 00:07:37,430
+يعني هذا لسه أكبر هذا أقل صح؟ وهذا أكبر هذول الأن
+
+92
+00:07:37,430 --> 00:07:41,390
+بدهم يترحلوا بدهم يتبدلوا فبيجي التلاتة هنا و
+
+93
+00:07:41,390 --> 00:07:45,430
+الواحد هنا ال J لسه هنا و ال I هنا الان بتكمل ال J
+
+94
+00:07:45,430 --> 00:07:50,610
+في هذا الاتجاه و ال I في هذا الاتجاه الان ال J لجت
+
+95
+00:07:50,610 --> 00:07:55,510
+ايش أصغر و ال I لجت التلاتة أكبر بس متجاوزين بعض
+
+96
+00:07:55,510 --> 00:08:00,690
+يبقى صار ايش؟ اتبدل ال pivot مع ال Jهذه الواحد
+
+97
+00:08:00,690 --> 00:08:04,870
+والإتنين صار الآن عندي ال array هذي صارت two
+
+98
+00:08:04,870 --> 00:08:08,330
+partitions التنين في النص و التلاتة والاربعة ناحية
+
+99
+00:08:08,330 --> 00:08:11,150
+و الواحدة الناحية هنيجي نشتغل على هذا النص و
+
+100
+00:08:11,150 --> 00:08:16,590
+هنشتغل على هذا النص هذا ال tree بتوضح عملية
+
+101
+00:08:16,590 --> 00:08:20,130
+الاستدعاءات ال recursive calls في أول استدعاء
+
+102
+00:08:20,130 --> 00:08:26,890
+نعطيها ال array كلها فيها سبع تمان عناصر ال Lبقاشر
+
+103
+00:08:26,890 --> 00:08:29,430
+على الـ 0 والـ R بقاشر على الأخير اللي هو الـ 7
+
+104
+00:08:29,430 --> 00:08:39,350
+بعد استدعاء الـ partitioning هنا هتكون ال
+
+105
+00:08:39,350 --> 00:08:45,250
+partitioning هيعطيني S بتقشر على هذا العنصر اللي
+
+106
+00:08:45,250 --> 00:08:53,770
+هو0 1 N 4 صح فهنا الكل مربع بيعطينا التلات معلومات
+
+107
+00:08:53,770 --> 00:08:59,230
+هدولة وين كانت بداية ال list وين كانت نهيتها وإيش
+
+108
+00:08:59,230 --> 00:09:05,750
+عنصر ال pivot استقر على أي location أي indexبعد
+
+109
+00:09:05,750 --> 00:09:09,270
+هذا سيصبح لدي two partitions يستدعى على هذا ال
+
+110
+00:09:09,270 --> 00:09:12,470
+partition و على هذا ال partition و تستمر العملية
+
+111
+00:09:12,470 --> 00:09:18,770
+الى ما تنتهي عملية ال partitioning اللى بنهايتها
+
+112
+00:09:18,770 --> 00:09:25,490
+بتكون كتابة عملية ال sortingالان الاناليس لهذا
+
+113
+00:09:25,490 --> 00:09:29,410
+الأمر باستخدام الـ two-way partitioning ان احنا في
+
+114
+00:09:29,410 --> 00:09:35,750
+عندنا ال best case ان يكون ال split دايما تيجي in
+
+115
+00:09:35,750 --> 00:09:41,370
+the middle يعني دايما في كل مرة ال pivot ييجي في
+
+116
+00:09:41,370 --> 00:09:48,610
+النص يكون التوزيع متساوي في هذا الحالة بيكون زي ال
+
+117
+00:09:48,610 --> 00:09:53,630
+major sort وبالتالي in log in ال worst caseإن تبقى
+
+118
+00:09:53,630 --> 00:09:59,370
+ال array sorted تبقى sorted هذا worst case احنا
+
+119
+00:09:59,370 --> 00:10:03,210
+أصلا جاينا عشان نعملها sorted و نجيها sorted و
+
+120
+00:10:03,210 --> 00:10:10,970
+نلاقي ان هذا بيتعب ال algorithm مش بساعدها ليش؟
+
+121
+00:10:10,970 --> 00:10:15,150
+لو ال array sortedalready sorted يعني هم ايش كانوا
+
+122
+00:10:15,150 --> 00:10:19,530
+العناصر احنا بتذكر واحد اظن للتسعة صح واحد اتنين
+
+123
+00:10:19,530 --> 00:10:25,630
+تلاتة اربعة خمسة الست ماكانش موجود ست صح تمانية
+
+124
+00:10:25,630 --> 00:10:35,490
+تسعة طب هم مرتبين وهذا الشيء سيء عندي ال I وعندي
+
+125
+00:10:35,490 --> 00:10:35,850
+ال J
+
+126
+00:10:43,810 --> 00:10:48,650
+ليش هذا سيئ؟ هم مرتبين ضعفظ ان العملية الأساسية
+
+127
+00:10:48,650 --> 00:10:52,990
+اللى عندي هي ال comparisons مش ال swap swap عملية
+
+128
+00:10:52,990 --> 00:10:58,990
+ثانوية ال comparison هو العملية الأساسية اللى بتتم
+
+129
+00:10:58,990 --> 00:11:05,850
+فإنها تم دايما فهذا يشتر فانا الآن ال J و ال I
+
+130
+00:11:05,850 --> 00:11:10,970
+هلفه كل واحدة هتلف لآخر عملنا نكتشف أن مافيش إشي
+
+131
+00:11:10,970 --> 00:11:17,720
+محتاج ترحيلصحيح؟ ال J وال I لازم تستمر للآخر و J
+
+132
+00:11:17,720 --> 00:11:23,040
+لازم تستمر للآخر عشان نكتشف أن هدولة كلهم امرتبين
+
+133
+00:11:23,040 --> 00:11:26,680
+و مافي اي اشي محتاجي انهم ينسوا و نكتشف ان ال I ..
+
+134
+00:11:26,680 --> 00:11:30,700
+ال واحد قاعد في مكانه الصحيح كل اللي بعده أكبر منه
+
+135
+00:11:30,700 --> 00:11:36,030
+و مافيش اشي أصلا جابله .. أصغر منه ييجي جابلهنفس
+
+136
+00:11:36,030 --> 00:11:42,130
+الشيء سيأتي عندما نقوم بعمل partitioning فطلّعنا
+
+137
+00:11:42,130 --> 00:11:47,450
+ال partitioning أن هذه ال P و كل البعض أكبر منها
+
+138
+00:11:47,450 --> 00:11:54,270
+فسنأخذ هذه ك sub array مافيش قبلها مافيش صح؟ لأننا
+
+139
+00:11:54,270 --> 00:11:57,710
+سنأخذ هذه، هذه already مرتبة برضه التنين جاية و
+
+140
+00:11:57,710 --> 00:12:01,870
+تلاتة أربعة فستتكرر نفس القصة ال I ستبدأ من هنا و
+
+141
+00:12:01,870 --> 00:12:11,550
+ال J ستبدأ من الآخر و يمشواصح لأ؟ فعمليات
+
+142
+00:12:11,550 --> 00:12:18,210
+ال comparisons هتفر على كل العناصر لأن هذا الأمر
+
+143
+00:12:18,210 --> 00:12:24,450
+معناه لك أنه احنا في الاستدعاء الأولاني هلفه ال
+
+144
+00:12:24,450 --> 00:12:32,000
+two indices I و Jعلى المقدار هذا في الاستعاد اللي
+
+145
+00:12:32,000 --> 00:12:35,020
+بعده هيلفه على المقدار هذا في الاستعاد اللي بعده
+
+146
+00:12:35,020 --> 00:12:39,420
+هيلفه على المقدار هذا صح ولا مش على كل مرة فنفس
+
+147
+00:12:39,420 --> 00:12:44,840
+قصة اللي هو المتتالية اللي بتبدأ ب N نقص واحد لازم
+
+148
+00:12:44,840 --> 00:12:48,780
+نمر على كل N نقص واحد من العناصر ثم بعدها يمكن نمر
+
+149
+00:12:48,780 --> 00:12:53,120
+على N نقص اتنين ثم N نقص تلاتة الكمية دي كلها ال
+
+150
+00:12:53,120 --> 00:12:59,560
+summation تبعها بساوي N ضرب1-n على 2 اللي هو n
+
+151
+00:12:59,560 --> 00:13:02,380
+تربيه في الآخر عشان هيك ال complexity بتبقى في ال
+
+152
+00:13:02,380 --> 00:13:08,080
+worst case big theta of n square تمام في ال
+
+153
+00:13:08,080 --> 00:13:13,120
+average case في ال average case بنعتبر أنه التوزيع
+
+154
+00:13:13,120 --> 00:13:19,980
+عشوائي مافيش الحياز ناحية فبيكون مثل ال split مثل
+
+155
+00:13:19,980 --> 00:13:24,320
+ال even split اللي هو ال split اللي جاي في النص
+
+156
+00:13:24,320 --> 00:13:30,290
+فبيكون n log nOkay دول النقاط تخلينا من هنا لإن
+
+157
+00:13:30,290 --> 00:13:36,090
+احنا الوجد شوية مش معانا فهيك احنا بيكون كملنا اذا
+
+158
+00:13:36,090 --> 00:13:39,070
+حد عنده اي سؤال في ال merge sort في ال quick sort
+
+159
+00:13:39,070 --> 00:13:42,130
+هذا او في ال merge sort اللي جابله قبل ما ننتقل
+
+160
+00:13:42,130 --> 00:13:46,750
+لمثال اخر من امثلة divide and conquer بس ملاحظة
+
+161
+00:13:46,750 --> 00:13:49,910
+اخرى صغيرة بس بتقولها ان ال tintine هدول اللي
+
+162
+00:13:49,910 --> 00:13:54,030
+شوفناهم ال merge و ال quick sortالـ Merge ال .. ال
+
+163
+00:13:54,030 --> 00:13:56,210
+.. ال .. ال division مش بيقول divide and conquer
+
+164
+00:13:56,210 --> 00:14:00,590
+ال dividing في ال merge جاي equal أو even بمعنى
+
+165
+00:14:00,590 --> 00:14:03,050
+المصين متساوية صح؟ لإن انا صراحة احنا بروح على
+
+166
+00:14:03,050 --> 00:14:08,840
+النص و بنشتغل على كل مصلحة هنا مش even splitتقسيم
+
+167
+00:14:08,840 --> 00:14:13,220
+حسب ال pivot إذا ال pivot جاي خمسة ممكن يطلع معاه
+
+168
+00:14:13,220 --> 00:14:19,260
+تلاتة قبله و خمسة أو أربعة بعده فمش متساوي طول
+
+169
+00:14:19,260 --> 00:14:22,440
+النصين هدول أو ال partitions
+
+170
+00:14:25,100 --> 00:14:29,440
+طيب الان احنا لدينا مجموعة من ال examples هناخد
+
+171
+00:14:29,440 --> 00:14:32,280
+منهم بس two examples اللي هم ال examples اللي جايه
+
+172
+00:14:32,280 --> 00:14:36,740
+في section خمسة اربعة خمسة اربعة في two examples
+
+173
+00:14:36,740 --> 00:14:53,240
+اللي هم multiplication of large integers of
+
+174
+00:14:53,240 --> 00:15:05,520
+ايش قلنا largeLarge أو Long يعني والمثال
+
+175
+00:15:05,520 --> 00:15:18,320
+التاني Matrix Multiplication متساوية
+
+176
+00:15:18,320 --> 00:15:23,030
+ال matricesطيب احنا الآن هنا في ال long integers
+
+177
+00:15:23,030 --> 00:15:26,210
+وين المشكلة؟ انه لما بيبقى فيها اندي integers زي
+
+178
+00:15:26,210 --> 00:15:31,430
+هيكة هذا a و b و طول الواحد منهم جدنيشان عشان عشان
+
+179
+00:15:31,430 --> 00:15:36,170
+خانة واجب ان اضربهم مشكلة كبيرة يعني بدها زمن كبير
+
+180
+00:15:36,170 --> 00:15:40,930
+وهذا الأمر أحيانا بيبقى ضروري جدا او محتاجه في
+
+181
+00:15:40,930 --> 00:15:43,570
+أشياء زي تشفير ال encryption و ال decryption
+
+182
+00:15:43,570 --> 00:15:48,380
+بتعامل مع أرقام كبيرةو هيك فبدنا هي تبقى معقدة
+
+183
+00:15:48,380 --> 00:15:52,360
+الحسمية لكن بدناش هي تاخد وجهة كتير لإنه بده يحصل
+
+184
+00:15:52,360 --> 00:15:55,620
+ال .. ال .. ال .. بدنا .. بدنا التشفير يبقى بسرعة
+
+185
+00:15:55,620 --> 00:15:59,240
+احنا بالعادة لما بناخد أي رقم إنسان كبار ولا حتى
+
+186
+00:15:59,240 --> 00:16:08,740
+صغار قولي مثلا بنضرب 240 في 312 و نحكم زي هيك
+
+187
+00:16:09,110 --> 00:16:15,290
+بنرسهم فوق بعض الحاد مع العشورات فوق المئات و
+
+188
+00:16:15,290 --> 00:16:21,290
+بنبدأ ناخد هذا و نضرب تمام؟
+
+189
+00:16:21,290 --> 00:16:31,030
+و بعدين .. و بعدين اللي هو جداش صح؟
+
+190
+00:16:31,030 --> 00:16:36,040
+و بعدين بنجمعهامش هيك؟ هذا الحسب اليدوي يعني هي
+
+191
+00:16:36,040 --> 00:16:41,760
+تمعبر عنها هيكم هذا A1 و A2 و AN عامل ترقيم للخنات
+
+192
+00:16:41,760 --> 00:16:47,340
+هذا الرقم A و هذا الرقم B فهذا A1 و هذا A2 و هذا
+
+193
+00:16:47,340 --> 00:16:50,860
+A3 هنا B1 B2 B3
+
+194
+00:16:53,600 --> 00:16:56,420
+هذا الكلام بصبتش برضه كمان معانا بدنا طريقة
+
+195
+00:16:56,420 --> 00:17:01,060
+الطريقة اللي أمامنا الآن هي طريقة بتعتمد على تجزئة
+
+196
+00:17:01,060 --> 00:17:06,000
+الرقم إلى أجزاء Divide و بناخد كل جزء و بنتعامل
+
+197
+00:17:06,000 --> 00:17:11,140
+معاه مع المقابل و من الرقم التاني بس قبل التجزئة
+
+198
+00:17:11,140 --> 00:17:14,140
+بدنا نشوف الفكرة الأساسية تبعته انه لو احنا بدنا
+
+199
+00:17:14,140 --> 00:17:17,900
+نحكي عن أرقام بسيطة رقمين تلاتة و أشرين و أربعة
+
+200
+00:17:17,900 --> 00:17:22,110
+عشر ما هم شطواها خانتين كل رقم خانتينالفكرة هي أنه
+
+201
+00:17:22,110 --> 00:17:25,890
+احنا نيجي نقول اصلا ال 23 هذا عبارة عن 2 في 10
+
+202
+00:17:25,890 --> 00:17:33,510
+زائد 3 في 1 10 أقصى 0 2 في 10 و ال 14 كذلك 1 في 10
+
+203
+00:17:33,510 --> 00:17:37,770
+زائد 4 في 10 أقصى 0 فانا ممكن أنظر إلى الرقامين
+
+204
+00:17:37,770 --> 00:17:47,200
+على أساس انهم هم 2 ال 23 عبارة عن 2زي ما قلنا في
+
+205
+00:17:47,200 --> 00:17:50,840
+عشرة و التلاتة في عشرة ال zero خلينا نطلع على من
+
+206
+00:17:50,840 --> 00:17:54,660
+غير العشرة يعني التنين زائد تلاتة هيك هذا كره ..
+
+207
+00:17:54,660 --> 00:18:00,940
+بدي أضربه في واحد زائد أربعة okay مش هذا زي ضرب
+
+208
+00:18:00,940 --> 00:18:05,640
+المربع الكامل ليش بسميه .. بنقول اتنين في واحد
+
+209
+00:18:05,640 --> 00:18:14,600
+زائد اتنين في أربعة زائد تلاتة في واحد زائد تلاتة
+
+210
+00:18:14,600 --> 00:18:15,160
+في أربعة
+
+211
+00:18:20,300 --> 00:18:24,540
+الان طبعا هذا الحد يعني عندي اكم حد؟ واحد اتنين
+
+212
+00:18:24,540 --> 00:18:28,100
+تلاتة اربع هذا الحد عشرات اتنين والواحد ده عشرات
+
+213
+00:18:28,100 --> 00:18:34,760
+العشرة تبعت هذا مع العشرة تبعت هذا مية مضربها في
+
+214
+00:18:34,760 --> 00:18:39,680
+بعض هذا عندي عشرات مع حد او احد مع عشرات يعني نفس
+
+215
+00:18:39,680 --> 00:18:44,580
+الاشي فنضربهم في ايش؟ في عشرة هذا كله مضروب في
+
+216
+00:18:44,580 --> 00:18:48,600
+عشرة يعني هذا الكلام بعد ما اجمع نضربه فيه نضربه
+
+217
+00:18:48,600 --> 00:18:56,990
+في عشرة صح؟وهذا أحد يعني عشر أقص زيرو هذا عشر أقص
+
+218
+00:18:56,990 --> 00:19:04,430
+واحد وهذا عشر أقص اتنين تمام فالصيغة
+
+219
+00:19:04,430 --> 00:19:07,810
+هذه او هي اللي هنا حد اتنين ضرب واحد في عشر أقص
+
+220
+00:19:07,810 --> 00:19:13,450
+اتنين اتنين ضرب أربعة زائد تلاتة ضرب واحد في عشر
+
+221
+00:19:13,450 --> 00:19:18,210
+أقص واحد و بعدين تلاتة في أربعة في عشر أقص زيروهذا
+
+222
+00:19:18,210 --> 00:19:23,510
+الكلام انا مقدر اعمله في صيغة عامة و اقول انه لما
+
+223
+00:19:23,510 --> 00:19:26,990
+انا بده اضرب اي رقمين .. انا بده اضرب اي رقمين
+
+224
+00:19:26,990 --> 00:19:32,930
+بنظر الى الرقمين هذولة على أساس انهم كل خانة ال a
+
+225
+00:19:32,930 --> 00:19:36,350
+.. الرقمين الأساسيات ال a و ال b بده اضربهم ال a
+
+226
+00:19:36,350 --> 00:19:43,450
+بنظره على انه .. هذا اذا كان رقم من خانتينخانة
+
+227
+00:19:43,450 --> 00:19:47,790
+الأولى E1 خانة الثانية E0 والثانية P1 P0 فحاصل
+
+228
+00:19:47,790 --> 00:19:53,830
+الضرب هو عبارة عن احنا نرجع تاني شوية بس عشان نحط
+
+229
+00:19:53,830 --> 00:20:01,110
+ال slide الكلام هذا لنحطه عشان نقارن بإيش قلنا
+
+230
+00:20:01,110 --> 00:20:08,490
+احنا اتنين اتنين ضرب واحد في عشرة تربية
+
+231
+00:20:11,030 --> 00:20:16,410
+زائد اتنين اتبع معايا من هنا بنات اتنين ضرب اربعة
+
+232
+00:20:16,410 --> 00:20:26,310
+زائد تلاتة ضرب ايش واحد هذا عشرة عشرة اص واحد زائد
+
+233
+00:20:26,310 --> 00:20:33,650
+هنا في عشرة تربيه تلاتة
+
+234
+00:20:33,650 --> 00:20:41,950
+ضرب اربعةبس على طول في أشهرها بس zero خلاص تمام
+
+235
+00:20:41,950 --> 00:20:47,190
+فهو ايش اللي جاي معانا في الصيدة انه C2 ايش C2 هذا
+
+236
+00:20:47,190 --> 00:20:52,630
+مسميه C2 الحين بنطلع على ايش عن C2 وهذا مسميه C1
+
+237
+00:20:52,630 --> 00:20:59,910
+وهذا مسميه C0 تمام C2 هي وببساطة ال 2 و ال 1 هدولة
+
+238
+00:20:59,910 --> 00:21:07,150
+احنا عايشة الرقامين اللي عندنا 23 في 14هذا A1 وهذا
+
+239
+00:21:07,150 --> 00:21:16,050
+A0 وهذا B1 وهذا B0 صح؟ C2 where .. where .. C2 مش
+
+240
+00:21:16,050 --> 00:21:24,190
+هي مضرومين في بعض؟ مين هما؟
+
+241
+00:21:24,190 --> 00:21:27,370
+و
+
+242
+00:21:27,370 --> 00:21:42,870
+C0 هذا مش هم الأحدA0 في B0 طيب و C1 ايش هيتحطت A1
+
+243
+00:21:42,870 --> 00:21:53,630
+زي A0 يعني كل رقم بجمع ال digits تبعونه A1
+
+244
+00:21:53,630 --> 00:21:59,530
+زي A0 يا بنات و ايش كمان لسه فيه بس احنا لأ احنا
+
+245
+00:21:59,530 --> 00:22:06,550
+مانعناش زي هيك C1 غيرOkay C1 اللي طلعت معاها نغير
+
+246
+00:22:06,550 --> 00:22:14,130
+عن C1 اللي طلعت معاها خليني نسجل هذا IP1 بزائد P0
+
+247
+00:22:14,130 --> 00:22:19,030
+بحث P1 و P0 و A1 و A0 و هم ماشي مجموعة خانات نفس
+
+248
+00:22:19,030 --> 00:22:25,530
+الرقم اللي ده بنفسه الرقم هذا A بنجمع اتنين
+
+249
+00:22:25,530 --> 00:22:29,660
+والتلاتة والواحد والاربعةبعدين رايح شهر منهم ايش
+
+250
+00:22:29,660 --> 00:22:37,980
+C2 زي C0 اللي هو الرقمين اللي حسبوه قبل okay الان
+
+251
+00:22:37,980 --> 00:22:40,740
+ايش اللي .. وين الفرق ما بين هذا الكلام و ما بين
+
+252
+00:22:40,740 --> 00:22:49,880
+اللي احنا طلع معانا لو انت جيت و لاحظت انه ال ..
+
+253
+00:22:49,880 --> 00:22:55,240
+خد عندك هذا ال C .. C .. ال 23 هذا ال C .. ال 23
+
+254
+00:22:55,240 --> 00:23:00,030
+اما على 2 زي 3لو انا بدي عايز اقول اتنين زي تلاتة
+
+255
+00:23:00,030 --> 00:23:05,390
+و اضربها في واحد زي اربعة لو انا بدي اخدهم
+
+256
+00:23:05,390 --> 00:23:08,390
+المجموعين .. المجموع هذي و المجموع هذي و اضربهم في
+
+257
+00:23:08,390 --> 00:23:12,330
+بعض ايش بيطلع معايا اللي هو حسبناها قبل شوية احنا
+
+258
+00:23:12,330 --> 00:23:18,090
+اتنين في واحد مرة
+
+259
+00:23:18,090 --> 00:23:23,090
+تانية بقى تركزوا معايا هنا اتنين زي تلاتة انا اخدت
+
+260
+00:23:23,090 --> 00:23:27,880
+ال digits تبعه دول جماعتهمو هدولة جمعتهم و بدي
+
+261
+00:23:27,880 --> 00:23:31,740
+اضرب المجموعين و اشوف هذا الكلام ايش بيعطيني واحد
+
+262
+00:23:31,740 --> 00:23:40,280
+زائد اربعة ايش بيعطيني اتنين ضرب واحد زائد اتنين
+
+263
+00:23:40,280 --> 00:23:45,220
+ضرب اربعة زائد
+
+264
+00:23:45,220 --> 00:23:53,220
+واحد في تلاتة او تلاتة في واحد زائد ايش تلاتة في
+
+265
+00:23:53,220 --> 00:24:01,640
+اربعةOkay الـ C1 اللي طلعت معايا هي بس هدولة اتنين
+
+266
+00:24:01,640 --> 00:24:06,300
+في أربعة و تلاتة في واحد موجودين عند هنا تلاتة في
+
+267
+00:24:06,300 --> 00:24:10,080
+واحد و اتنين في أربعة شو عايزكوا نخليهم على
+
+268
+00:24:10,080 --> 00:24:13,640
+الناحية هذه و نجيبها لك على الناحية هذه بطلع ايش
+
+269
+00:24:13,640 --> 00:24:20,600
+اتنين زي التلاتة زي ما هم هدولة واحد في اتنين في
+
+270
+00:24:20,600 --> 00:24:25,970
+واحد زي الأربعة بدنا نجيبها لك بيش بنناقصطب ماهو
+
+271
+00:24:25,970 --> 00:24:29,430
+هاد لك؟ اتنين في واحد و تلاتة في اربعة اتنين في
+
+272
+00:24:29,430 --> 00:24:33,890
+واحد و تلاتة في اربعة مش هم الـC2 و الـC0؟ هاد
+
+273
+00:24:33,890 --> 00:24:36,850
+بالنقص يا بنات و لا بالزاد؟ هاد بالزاد اه بس لما
+
+274
+00:24:36,850 --> 00:24:39,870
+ينتقلوا هنا بالنقص فإيش رأيك و احطهم على طول هيك
+
+275
+00:24:39,870 --> 00:24:46,650
+C2 زاد C0 مش هاد .. هاد .. مين منهم؟ هاد الـC2 و
+
+276
+00:24:46,650 --> 00:24:51,970
+هاد الـC0 صح؟ هم جيبتم هنا و حطيتهم بالنقص حطيتهم
+
+277
+00:24:51,970 --> 00:24:56,920
+جوا مع بعض بالزاد و بنبرر جوس النقصأتنين ضرب أربعة
+
+278
+00:24:56,920 --> 00:25:04,540
+بتنزل وزائد تلاتة ضرب واحد بتنزل أصبح أنا عمليا
+
+279
+00:25:04,540 --> 00:25:12,860
+هذا ال term اللي طالع معاه هنا C واحد بيساوي
+
+280
+00:25:12,860 --> 00:25:17,720
+هذا الكلام فهو استخدم هذا الكلام بدأ بيستخدم
+
+281
+00:25:17,720 --> 00:25:22,200
+الأبسط هذا أبسط صح استخدم هذا المعجدة مع انه هذا
+
+282
+00:25:22,200 --> 00:25:31,060
+معجدةأحسن، ليش؟ هذه فيها عمليتين ضرب، وفي الآخر
+
+283
+00:25:31,060 --> 00:25:37,640
+مضروب في العشرة، هذه فيها عملية ضرب واحدة، هذه
+
+284
+00:25:37,640 --> 00:25:44,100
+عملية الضرب، هذا مضروب في هذه، ولا لأ؟ صحيح، بس
+
+285
+00:25:44,100 --> 00:25:47,180
+مجموعة already undeem، حسوبة already مسبقا، مش
+
+286
+00:25:47,180 --> 00:25:51,550
+محتاج أحسبها مرة تانيةتمام؟ و لاحظة ممتازة انه
+
+287
+00:25:51,550 --> 00:25:55,030
+فيها ضرب .. هذه فيها ضرب و هذه فيها ضرب يعني انا
+
+288
+00:25:55,030 --> 00:25:59,570
+.. عشان اوفر واحد و واحد زواد التنتين عشان ا .. اه
+
+289
+00:25:59,570 --> 00:26:04,310
+انا هنا استبدلت الضربين بضرب و جوا هنا فيه كمان
+
+290
+00:26:04,310 --> 00:26:08,870
+ضربين لكن هدول الضربين محسوبات already محسوبات
+
+291
+00:26:08,870 --> 00:26:13,030
+already عندى هنا مش محتاج احسبهم بجيبهم مباشرة ال
+
+292
+00:26:13,030 --> 00:26:19,840
+C2 و C0Okay فتوفير عملية الضرب هذه خمسة و عشرين في
+
+293
+00:26:19,840 --> 00:26:25,100
+المية لأن هم .. وين؟ أكتر هم كانوا .. هم كانوا ..
+
+294
+00:26:25,100 --> 00:26:29,840
+جد ليش؟ تلات عمليات خليناهم عمليتين يبقى توفير
+
+295
+00:26:29,840 --> 00:26:34,540
+تلات تلاتين في المية Okay الآن هذا الكلام كله في
+
+296
+00:26:34,540 --> 00:26:37,880
+الآخر عشان أضرب تلاتة و عشرين في أربعتاش أعمل
+
+297
+00:26:37,880 --> 00:26:43,930
+اللحمة هذه كلها مش efficient يعني مالوش جدوةبس
+
+298
+00:26:43,930 --> 00:26:47,510
+الجدوة تبعته في الأرقام الكبيرة كيف طيب أقوم بقال
+
+299
+00:26:47,510 --> 00:26:51,850
+الكلام عن الأرقام الكبيرة وانا قاعد بقول ان الرقم
+
+300
+00:26:51,850 --> 00:26:58,070
+الواحد خده على انه شقين خد العشرات خد الأحد خد
+
+301
+00:26:58,070 --> 00:27:01,390
+العشرات كل أحد اه نفس الاشي انا بقدر أسويه لما
+
+302
+00:27:01,390 --> 00:27:06,830
+يكون الأرقام كبيرة لما يكون الأرقام الكبيرة بقدر
+
+303
+00:27:06,830 --> 00:27:12,750
+أجي على أي رقم كبير خد عندك مثلا هذا الرقمينالـ 21
+
+304
+00:27:12,750 --> 00:27:20,490
+.. الـ 2135 ضرب الـ 4014 مقدر اخد الشق هذا
+
+305
+00:27:20,490 --> 00:27:28,770
+الخانتين هذولة على انهم A1 و هذولة A0 هذولة B1 و
+
+306
+00:27:28,770 --> 00:27:34,650
+هذولة B0 و اجي اقول ايش C2 بدي احسب C2 نفس طريقته
+
+307
+00:27:34,650 --> 00:27:37,970
+اللي هو C2 ايش بيساوي العشرات
+
+308
+00:27:46,160 --> 00:27:57,200
+و C0 الأحد رجعك وتلعب آياتها الأحد هي مانوش أحدها
+
+309
+00:27:57,200 --> 00:28:02,000
+دلوقتي بس نقصد نص الأيسر و نص الأيمن خمس و تلاتين
+
+310
+00:28:02,000 --> 00:28:11,940
+ضرب اربعة عشر طيب C1 اللي هي قلنا مين مجموحهم
+
+311
+00:28:11,940 --> 00:28:16,690
+الواحد الاشرين زائد الخمس وتلاتينمضروب فيه مجموعة
+
+312
+00:28:16,690 --> 00:28:23,670
+اللي هو الاربعين زائد الاربعتاش مطروح منه اللي
+
+313
+00:28:23,670 --> 00:28:31,310
+هيطلع معاه هنا مجموعة اللي هيطلع معاه هنا هدول
+
+314
+00:28:31,310 --> 00:28:36,550
+الآن يا إما بضرهم على طول مازالوا مصغار هيك يا إما
+
+315
+00:28:36,550 --> 00:28:42,520
+برجع تاني بجزئهم و بعمل divide and conquerأو
+
+316
+00:28:42,520 --> 00:28:49,100
+اتراشن تاني او call تاني هو واقع الامر ان ال
+
+317
+00:28:49,100 --> 00:28:52,500
+algorithm هذه فعلا انا ممكن استمر في التجزئة لما
+
+318
+00:28:52,500 --> 00:28:59,900
+اصل إلى خانات مفردة او اصل الى ارقام الطول تبع
+
+319
+00:28:59,900 --> 00:29:02,440
+حضارة اتعامل معاه مباشرة يعني لما يكون مثلا single
+
+320
+00:29:02,440 --> 00:29:07,560
+integer طوله2 bytes ايش المشكلة بضربهم يعني هذا كل
+
+321
+00:29:07,560 --> 00:29:10,460
+واحد من هدول يبقى single integer طوله two bytes او
+
+322
+00:29:10,460 --> 00:29:13,580
+او اسمه single integer يعني one byte بضربهم في
+
+323
+00:29:13,580 --> 00:29:17,180
+بعضها على طول بدي اجزء بس اللي احاول انه يكونوا
+
+324
+00:29:17,180 --> 00:29:21,400
+مجزق بزيد ال overhead بزيد المجهود اللي هو عملية
+
+325
+00:29:21,400 --> 00:29:28,760
+الجمع عملية ال ..واضح ف الرقماء زي دولة مش كتير
+
+326
+00:29:28,760 --> 00:29:32,400
+efficient لكن لما يبقى فعلا كبير لما يبقى فعلا
+
+327
+00:29:32,400 --> 00:29:39,940
+عشرين خانة و اخدهم عشرة و عشرة كل رقم يعني اخده
+
+328
+00:29:39,940 --> 00:29:43,360
+عشرة و عشرة عشرة عشرة و اجزء و امشي divide and
+
+329
+00:29:43,360 --> 00:29:47,880
+conquer بيبقى الامر أصبح much more efficient than
+
+330
+00:29:47,880 --> 00:29:51,780
+انه اقعد اضرب الطريقة التقليدية
+
+331
+00:30:13,590 --> 00:30:19,390
+طيب الآن احنا لما بدنا نطلع على ال analysis اللي
+
+332
+00:30:19,390 --> 00:30:24,430
+هو ال long integer division by divide and conquer
+
+333
+00:30:24,430 --> 00:30:29,710
+بنطلع على قداش عمليات ال multiplication اللي بتتم
+
+334
+00:30:29,710 --> 00:30:32,810
+okay
+
+335
+00:30:37,670 --> 00:30:43,070
+في عنا عشان اضرب رقمين طول الرقم الواحد منهم in
+
+336
+00:30:43,070 --> 00:30:53,150
+number of digits ده جزء الرقم الواحد إلى جزئين صح؟
+
+337
+00:30:53,150 --> 00:30:58,950
+ده
+
+338
+00:30:58,950 --> 00:31:03,190
+جزء إلى جزئين وين هم الجزئين؟
+
+339
+00:31:12,630 --> 00:31:20,730
+بدأ أحسب تلت .. بدأ أحسب تلت ..
+
+340
+00:31:20,730 --> 00:31:31,110
+تلت الأرقام اللي هو C1 C2 و C0 الآن هذا C2 قد
+
+341
+00:31:31,110 --> 00:31:35,510
+يكون خانتين الـ B .. الـ A1 و الـ B1 مجرد single
+
+342
+00:31:35,510 --> 00:31:39,710
+integer أو قد تكون الـ A1 هو في حسابته مركّب و بدأ
+
+343
+00:31:39,710 --> 00:31:46,800
+خش ايشفاكفكوا اجزؤوا و اضرب فانا الان في عندي هنا
+
+344
+00:31:46,800 --> 00:31:50,980
+ال multiplications الإجمالية بتساوي ال
+
+345
+00:31:50,980 --> 00:32:01,380
+multiplications تبعت النصين
+
+346
+00:32:01,380 --> 00:32:07,800
+هدولة زائد ال multiplications سامعها C2
+
+347
+00:32:07,800 --> 00:32:15,940
+multiplications تبع C0زائد ال multiplications زائد
+
+348
+00:32:15,940 --> 00:32:22,360
+ال multiplications ل C1 بقدر
+
+349
+00:32:22,360 --> 00:32:27,980
+ادعي ان ال multiplications اللي بتتم لحساب C2 هي
+
+350
+00:32:27,980 --> 00:32:33,940
+نص عدد ال multiplications انهم لأنه انا هي ماخدة
+
+351
+00:32:33,940 --> 00:32:41,720
+C2 هي حسبة A1 وB1 اللي هو هذا نص وهذا نصهذا طوله
+
+352
+00:32:41,720 --> 00:32:46,440
+نص طول الـA الكامل وهذا طوله نص طول الـB الكامل
+
+353
+00:32:46,440 --> 00:32:52,740
+بقيت N على 2 هذا طوله N على 2 وهذا طوله N على 2
+
+354
+00:32:52,740 --> 00:33:02,320
+لما أنا باجي بضرب رقمينلما بدأ أضرب C بتساوي A في
+
+355
+00:33:02,320 --> 00:33:10,340
+B هذا طوله N وهذا طوله N عشان أحسبها عملت تلت
+
+356
+00:33:10,340 --> 00:33:15,740
+خطوات هذه كل واحدة منهم عبارة عن تعامل مع نص
+
+357
+00:33:15,740 --> 00:33:21,460
+الواحد من هذا ال multiplications اللي لازمة له ضرب
+
+358
+00:33:21,460 --> 00:33:25,740
+A في B بساوي اتنين ال multiplication
+
+359
+00:33:28,410 --> 00:33:40,470
+أو A2 ال multiplications اللازمة لضرب C2 صح؟
+
+360
+00:33:40,470 --> 00:33:44,390
+مظبوط هالكلام؟ ضعف ال multiplications اللازمة لـ
+
+361
+00:33:44,390 --> 00:33:49,810
+C2 فعدد ال multiplications اللازمة لضرب C2 هو نص
+
+362
+00:33:49,810 --> 00:33:55,310
+اللازمة
+
+363
+00:33:55,310 --> 00:34:01,270
+لضربالرقمين طول واحد منهم N فدولة كلهم هذا برضه M
+
+364
+00:34:01,270 --> 00:34:06,850
+يعني هذا N على 2 وهذا N على 2 وهذا N على 2 أصبح
+
+365
+00:34:06,850 --> 00:34:10,690
+أنا ال multiplications اللي لازمة لضرب رقمين طول
+
+366
+00:34:10,690 --> 00:34:14,610
+واحد منهم N بساوي تلاتة ال multiplications اللي
+
+367
+00:34:14,610 --> 00:34:18,410
+لازمة لضرب رقمين طول واحد منهم N على 2
+
+368
+00:34:26,480 --> 00:34:30,440
+ماشي بس هذا اللي بنعمل بس multiplications مافيش
+
+369
+00:34:30,440 --> 00:34:33,920
+additions في additions في عملية جامعة خلّي عملية
+
+370
+00:34:33,920 --> 00:34:41,920
+الجامعة بس نعملها تحليل منفصل احنا الأن مرة أخرى
+
+371
+00:34:41,920 --> 00:34:46,760
+ال multiplications اللي لازمة لضرب رقمين طول واحد
+
+372
+00:34:46,760 --> 00:34:50,380
+منهم n يسوى تلت مرات ال multiplications اللي لازمة
+
+373
+00:34:50,380 --> 00:34:53,220
+لضرب رقمين طول واحد منهم n على اتنين
+
+374
+00:35:02,680 --> 00:35:06,880
+تمام؟ تحليل هذا الكلام كله في الآخر بيصب على انه
+
+375
+00:35:06,880 --> 00:35:11,120
+لحظة ان هو معامل عملية الاستبدال اللي هي N باعتبر
+
+376
+00:35:11,120 --> 00:35:16,120
+ان ال N رقم مضاعفات الاتنين لانه هي ال algorithm
+
+377
+00:35:16,120 --> 00:35:22,160
+تماما هذه بتظبط بشكل مباشر بدون اي حالات خاصة لما
+
+378
+00:35:22,160 --> 00:35:25,800
+يكون عندي فعلا انا عملية التجزئة ابدأ مثلا بتمانية
+
+379
+00:35:25,800 --> 00:35:29,060
+و تمانية ينجسم الاربعة اربعة واربعة واربعة واربعة
+
+380
+00:35:29,060 --> 00:35:33,170
+ينجسم الاتنين واتنينأو أبدأ ب16 يعني مضاري بإيش
+
+381
+00:35:33,170 --> 00:35:38,570
+لإتنين أو factors لإتنين فهو استبدال ال N بإيش 2
+
+382
+00:35:38,570 --> 00:35:43,090
+أُس K okay هذه الآن ال recurrence طبعا هذا
+
+383
+00:35:43,090 --> 00:35:47,310
+recurrence ال recurrence هذا في الآخر هيطلع معانا
+
+384
+00:35:47,310 --> 00:35:51,490
+أنه عبارة عن إيش التلاتة تلاتة هذا الرقم اللي
+
+385
+00:35:51,490 --> 00:35:57,120
+بيعدى معانا log 2 ل Nأحنا في الرياضية نستطيع أن
+
+386
+00:35:57,120 --> 00:36:03,000
+نستبدل هذا بهذا يعني التلاتة أي رقم تقولي مثلا a
+
+387
+00:36:03,000 --> 00:36:11,540
+log 2 ل some n بساوي ال n log برضه التنين لمن لل a
+
+388
+00:36:11,540 --> 00:36:18,120
+فالتلاتة log التنين لل n بساوي n log التنين
+
+389
+00:36:18,120 --> 00:36:24,970
+للتلاتة اللي هو n أُس log التلاتة اللي هو واحد.582
+
+390
+00:36:24,970 --> 00:36:29,830
+فهذا اللي هو الرقم .. عدد ال multiplications فقط
+
+391
+00:36:29,830 --> 00:36:34,710
+او تقديرنا العدد ال multiplications ماشي الحال
+
+392
+00:36:34,710 --> 00:36:39,310
+فإذا ال algorithm مافيش فيها إلا multiplications
+
+393
+00:36:39,310 --> 00:36:42,350
+مافيش فيه additions ولا إيش تاني بقدر أقول عبارة
+
+394
+00:36:42,350 --> 00:36:46,870
+عن إيش ال complexity و هذا الكلام في worst case و
+
+395
+00:36:46,870 --> 00:36:53,700
+best case مافيش شيء big theta of logof n as if of
+
+396
+00:36:53,700 --> 00:37:02,260
+n to لجة التلاتة اللي هو الرقم هذا كل ما زاد طول
+
+397
+00:37:02,260 --> 00:37:07,660
+الرقم بتزيد الزمن بالمعدل هذا كل ما زاد طول
+
+398
+00:37:07,660 --> 00:37:12,960
+الأرقامالـ addition العملية الأخرى اللي قلناها هنا
+
+399
+00:37:12,960 --> 00:37:17,740
+ال algorithm فيها ايش؟ فيها multiplications و فيها
+
+400
+00:37:17,740 --> 00:37:21,800
+additions عدد ال additions اللي عندنا شهو هو؟ في
+
+401
+00:37:21,800 --> 00:37:26,880
+هنا additions هذه واحدة وهذه التانية وفي اللي هو
+
+402
+00:37:26,880 --> 00:37:32,460
+هذه تلاتة وانا هاتفر برضه انناقص عملية الرابعة
+
+403
+00:37:32,460 --> 00:37:38,260
+تمام okay
+
+404
+00:37:39,090 --> 00:37:44,370
+بتكون ناقص ممكن ناقص نطلعها لحقال خلّينا نطلع بس
+
+405
+00:37:44,370 --> 00:37:48,710
+على التلات additions فنفس الاشي برضه مقدر اقول انه
+
+406
+00:37:48,710 --> 00:37:54,790
+ال additions بساوي تلات عمليات ضرب اللي هو
+
+407
+00:37:54,790 --> 00:38:01,990
+العمليات اللي لازمة لحساب
+
+408
+00:38:01,990 --> 00:38:05,830
+نص الكمية ماشي
+
+409
+00:38:13,240 --> 00:38:18,980
+فبطلع برضه كمان لل additions لحالها اللى هو in log
+
+410
+00:38:18,980 --> 00:38:22,020
+التلاتة
+
+411
+00:38:22,020 --> 00:38:25,400
+طيب
+
+412
+00:38:25,400 --> 00:38:28,300
+الآن إيش المحصلة النهائية ال complexity تبع ال
+
+413
+00:38:28,300 --> 00:38:32,240
+algorithm كلها إذا فيها عدد عملية ضرب و عدد عملية
+
+414
+00:38:32,240 --> 00:38:37,360
+جمع okay والتنين بياخدوا بينموا بنفس المعدل الضرب
+
+415
+00:38:37,360 --> 00:38:41,400
+و الجمع هو بنفس المعدل يبقى الإجمال كله أيضا هو
+
+416
+00:38:41,400 --> 00:38:48,440
+إيشالـ N log التلاتة للألغوفم كلها إجمالي معدل
+
+417
+00:38:48,440 --> 00:38:54,760
+النمو احنا الآن عاملين هذا هو المثال التالت اللي
+
+418
+00:38:54,760 --> 00:38:58,980
+هو long أو large integer multiplication
+
+419
+00:38:58,980 --> 00:39:03,120
+multiplication of large integers بأسلوب divide and
+
+420
+00:39:03,120 --> 00:39:09,960
+conquer بدي إذا كان تمسكوا هذا ال example اللي في
+
+421
+00:39:09,960 --> 00:39:16,490
+الآخر و اتكملواكيف تحسبي الناتج خطوة بخطوة بال
+
+422
+00:39:16,490 --> 00:39:21,770
+divide and conquer عشان تتمرنى على الطريقة طريقة
+
+423
+00:39:21,770 --> 00:39:25,490
+ال algorithm بظل لنا المثال الأخير اللى هو ال
+
+424
+00:39:25,490 --> 00:39:31,250
+matrix multiplication مش هيدل وقت فالمحاضرة الجاية
+
+425
+00:39:31,250 --> 00:39:34,770
+ان شاء الله بنطلع عليه كيف ايضا كمان two matrices
+
+426
+00:39:34,770 --> 00:39:41,010
+مضربهم ممكن نجزئهم بشكل مشابه لتجزئة ال long
+
+427
+00:39:41,010 --> 00:39:43,510
+integersالعطل يكون عاشر
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ReOaFv15_Os.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ReOaFv15_Os.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4a5dd2ced02bb167fbd3684943c97d9cfdaade6b
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ReOaFv15_Os.srt
@@ -0,0 +1,1409 @@
+1
+00:00:20,890 --> 00:00:23,330
+ماشي بسم الله الرحمن الرحيم الصلاة والسلام علي
+
+2
+00:00:23,330 --> 00:00:27,850
+أشرف المرسلين، اليوم إن شاء الله بدنا نكمل مطرح ما
+
+3
+00:00:27,850 --> 00:00:33,930
+أوقفنا في الـ chapter 7 المحاضرة السابقة، وكان موضوع
+
+4
+00:00:33,930 --> 00:00:37,890
+الـ chapter 7 هو space and time trade-offs على
+
+5
+00:00:37,890 --> 00:00:41,430
+السريع، الفكرة الأساسية أنه احنا الـ algorithms
+
+6
+00:00:41,430 --> 00:00:46,310
+بتعمل عملية جانبية،
+
+7
+00:00:48,110 --> 00:00:53,190
+العملية هذه، الهدف منها تسريع الشغل الأساسي تبع الـ
+
+8
+00:00:53,190 --> 00:00:56,410
+algorithm، هذه العملية الجانبية اللي أنا مسميها هنا
+
+9
+00:00:56,410 --> 00:01:03,850
+peripheral task، بترتب عليها شغل مساحة تخزينية، و
+
+10
+00:01:03,850 --> 00:01:08,090
+عادة بتبقى بسيطة، شفنا أو قلنا إنه في تلات أنواع
+
+11
+00:01:08,090 --> 00:01:11,210
+لهذه العملية، الـ trade-off ما بين الـ space و الـ
+
+12
+00:01:11,210 --> 00:01:14,350
+time، في النوع الأول هو الـ input enhancement، وشوفنا
+
+13
+00:01:14,350 --> 00:01:18,190
+عليه مثال المحاضرة الماضية، اللي هو كان فيه اللي هو
+
+14
+00:01:18,190 --> 00:01:22,790
+الـ sorting by counting، تمام، و الـ distribution sort،
+
+15
+00:01:22,790 --> 00:01:27,550
+وفي النوع التاني اللي هو الـ pre-structuring، الـ pre-
+
+16
+00:01:27,550 --> 00:01:30,350
+-structuring، اللي هو الفكرة الأساسية هنا إعادة
+
+17
+00:01:30,350 --> 00:01:35,370
+هيكلة الـ data بهيكلية تساعد على، أو هيكلية
+
+18
+00:01:35,370 --> 00:01:39,190
+efficient، تساعد على عملية العملية الأساسية للـ
+
+19
+00:01:39,190 --> 00:01:41,530
+algorithm، بعدها كان نوع التالت اللي هو Dynamic
+
+20
+00:01:41,530 --> 00:01:44,730
+Programming، قلنا هذا بنشوفه لحاله في chapter التمانية،
+
+21
+00:01:44,730 --> 00:01:47,170
+النوع الأول اللي بدأنا فيه اللي هو الـ input
+
+22
+00:01:47,170 --> 00:01:49,810
+enhancement، وشوفنا عليه مثال، اليوم بنشوف مثال آخر
+
+23
+00:01:50,070 --> 00:01:54,690
+في الـ input enhancement أيضا، كان زي ما قلنا المثال
+
+24
+00:01:54,690 --> 00:02:00,170
+اللي شوفناه اللي هو الـ sorting by comparison، و الـ
+
+25
+00:02:00,170 --> 00:02:04,930
+distribution counting، اللي عبارة عن distribution
+
+26
+00:02:04,930 --> 00:02:07,210
+يعني sort، okay،
+
+27
+00:02:09,230 --> 00:02:14,270
+والآن بدنا ننتقل على الخورزمية .. خوارزميتين أخريتين
+
+28
+00:02:14,270 --> 00:02:19,410
+بس في مجال آخر مش sorting، هو الـ .. الـ .. الـ string
+
+29
+00:02:19,410 --> 00:02:22,590
+matching، okay، الـ string matching احنا شفناه قبل
+
+30
+00:02:22,590 --> 00:02:26,790
+هيك، brute force، و الفكرة الأساسية تبعته، وكان في
+
+31
+00:02:26,790 --> 00:02:31,890
+عليها سؤال في امتحان، أنه أنا بامشي بطابق الـ .. الـ
+
+32
+00:02:31,890 --> 00:02:35,230
+.. الـ pattern مع الـ text character by character،
+
+33
+00:02:35,230 --> 00:02:36,190
+okay،
+
+34
+00:02:38,670 --> 00:02:45,970
+وبتبدأ عملية المقارنة، بأبدأ
+
+35
+00:02:45,970 --> 00:02:51,490
+الـ pattern محاذا مع بداية الـ text، وبقارن الأول مع
+
+36
+00:02:51,490 --> 00:02:54,630
+الأول، التاني مع التاني، إلى إذا لقيتهم كلهم متطابقين،
+
+37
+00:02:54,630 --> 00:02:58,730
+خلاص وجدناها، مش متطابقين بروح ايش بسوي؟ بقدم
+
+38
+00:02:58,730 --> 00:03:03,840
+character واحد فقط، الآن الـ Horspool Algorithm،
+
+39
+00:03:03,840 --> 00:03:07,680
+الـ algorithm اللي هننتقل عليها اليوم اسمها Horspool
+
+40
+00:03:07,680 --> 00:03:12,980
+Algorithm، مش brute force، بتختلف عن الـ brute
+
+41
+00:03:12,980 --> 00:03:20,040
+force في جزئية في جانب أساسي، وهو إنه صح احنا بنبدأ
+
+42
+00:03:20,040 --> 00:03:24,940
+في البداية من أول الـ text مع أول الـ pattern، ولكن
+
+43
+00:03:24,940 --> 00:03:29,710
+المقارنة بتبدأ من اليمين للشمال، أو اتجاهها من
+
+44
+00:03:29,710 --> 00:03:33,930
+اليمين للشمال، مش من الشمال لليمين، يعني بنقارن آخر
+
+45
+00:03:33,930 --> 00:03:37,570
+عنصر في الـ pattern مع المقابل له في الـ text، إذا
+
+46
+00:03:37,570 --> 00:03:40,970
+في مطابقة، مع اللي ياليه، في مطابقة، مع اللي ياليه،
+
+47
+00:03:40,970 --> 00:03:49,430
+إذا لقيتهم كلهم مطابقين يبقى خلاص okay، فالمطابقة
+
+48
+00:03:49,430 --> 00:03:55,750
+بتبدأ من ايش؟ من اليمين، هذا الشيء، الشيء التاني
+
+49
+00:03:55,750 --> 00:04:00,400
+إنها بتستخدم فكرة الـ time space trade-off، فبتروح
+
+50
+00:04:00,400 --> 00:04:05,700
+تعمل task في البداية، تعمل analysis على الـ pattern،
+
+51
+00:04:05,700 --> 00:04:11,820
+تحلل الـ pattern، وبتسجل table اسمه shift table،
+
+52
+00:04:11,820 --> 00:04:19,260
+وبناء
+
+53
+00:04:19,260 --> 00:04:22,200
+على القيم اللي في shift table بتشتغل،
+
+54
+00:04:25,530 --> 00:04:28,910
+احنا قلنا فيه فرق أساسي، اللي هو إنها بتبدأ من
+
+55
+00:04:28,910 --> 00:04:34,110
+المقارنات يمين وشمال، الفرق التاني إنه القفزات لما
+
+56
+00:04:34,110 --> 00:04:38,730
+يصير مافيش مطابقة، القفزة مش قفزة واحدة، ماتحركش،
+
+57
+00:04:38,730 --> 00:04:43,330
+ماتحركش  الـ character واحد فقط، بتعمل قفزة
+
+58
+00:04:43,330 --> 00:04:48,110
+متباينة، يعني ممكن قفزة بمقدار اتنين، تلاتة، أربعة،
+
+59
+00:04:48,110 --> 00:04:52,980
+ستة، بناء على البيانات اللي في الجدول، خلينا الأول
+
+60
+00:04:52,980 --> 00:04:58,760
+نتطلع على عملية المقارنة، الحالات اللي ممكن تحدث،
+
+61
+00:04:58,760 --> 00:05:03,880
+ومن خلال هذه الحالات نفهم ايش اللي بتسجل في الجدول،
+
+62
+00:05:03,880 --> 00:05:08,360
+هذا ايش وظيفة الجدول هذا، خد عندك الحالة الأولى،
+
+63
+00:05:08,360 --> 00:05:13,340
+عندي أنا هاي الـ pattern كلمة barber، وعندي text الـ
+
+64
+00:05:13,340 --> 00:05:19,880
+text من S0 لـ S N ناقص واحد، احنا متفقين إنه بنبدأ
+
+65
+00:05:19,880 --> 00:05:23,920
+المقارنة أو المطابقة من اليمين، و بنرجع على اتجاه
+
+66
+00:05:23,920 --> 00:05:28,660
+الشمال، لو أنا عندي الحرف اللي أنا واقف عنده الآن
+
+67
+00:05:28,660 --> 00:05:33,740
+في الـ text غير مطابق من أولها، غير مطابق من الأول،
+
+68
+00:05:33,740 --> 00:05:36,640
+يعني من أول عملية .. من أول character من اليمين،
+
+69
+00:05:36,640 --> 00:05:39,480
+غير مطابق، okay،
+
+70
+00:05:41,900 --> 00:05:47,080
+كداش كمية shift اللي أحرك؟ هل أحرك بس بمقدار واحد،
+
+71
+00:05:47,080 --> 00:05:54,540
+يعني أجيب أجيب
+
+72
+00:05:54,540 --> 00:05:58,900
+الـ R بس؟ أزّح مقدار character واحد؟ ولا two؟ ولا three؟ ولا
+
+73
+00:05:58,900 --> 00:06:05,190
+كذا؟ السؤال هنا إنه هل الـ S هذه موجودة في الأحرف
+
+74
+00:06:05,190 --> 00:06:09,430
+تبع الـ pattern، الأحرف اللي مش موجودة يبقى ليش
+
+75
+00:06:09,430 --> 00:06:14,610
+أضيع وقتي وأجهد  نفسي وأعمل shifting one by one؟ لأ، ما
+
+76
+00:06:14,610 --> 00:06:19,070
+بعمل shift مرة واحدة، ماشي؟ يعني أنا الآن لما
+
+77
+00:06:19,070 --> 00:06:23,790
+أتحرك بمقدار واحد، okay؟ حاجة أطابق ربما الـ A،
+
+78
+00:06:23,790 --> 00:06:28,650
+ايه الـ problem تبقى هنا؟ R، ماشي؟ لكن الـ S أنا أعلم
+
+79
+00:06:28,650 --> 00:06:33,770
+مسبقا إنها مش موجودة، فتفشل المطابقة ولو حركت بعد
+
+80
+00:06:33,770 --> 00:06:39,350
+هيك، ربما هذا يبقى .. يبقى شيء ثاني، المهم إن الـ S
+
+81
+00:06:39,350 --> 00:06:44,410
+كونها مش موجودة في بداية الـ pattern، يبقى هذا مؤشر
+
+82
+00:06:44,410 --> 00:06:49,010
+إن أنا بقدر أقفز قفزة كاملة بمقدار مين؟ بمقدار طول
+
+83
+00:06:49,010 --> 00:06:53,510
+الـ pattern، بمقدار M، M هنا هو طول الـ pattern، صح؟
+
+84
+00:06:55,120 --> 00:07:00,540
+ومثل هذه الحالة رقم 3 هنا، لو طلعت اللي حصل هنا
+
+85
+00:07:00,540 --> 00:07:04,840
+إنه في مطابقة ما بين الـ R و الـ R، وما بين الـ E و
+
+86
+00:07:04,840 --> 00:07:08,480
+الـ E، لكن عند الـ D مافيش مطابقة مع الـ M،
+
+87
+00:07:11,440 --> 00:07:15,840
+ولنفس الحالة، في عندي الـ R هذه اللي بدأنا من عندها
+
+88
+00:07:15,840 --> 00:07:20,260
+عملية المطابقة، مش موجودة، فمافي داعي أن أنا أقعد
+
+89
+00:07:20,260 --> 00:07:25,980
+أزّح بس بمقدار character لحد ما أوصل لما ورا الـ R،
+
+90
+00:07:25,980 --> 00:07:31,100
+من أولها، أزّح الـ pattern كل مرة واحدة لما ورا الـ R،
+
+91
+00:07:31,740 --> 00:07:36,040
+مظبوط الكلام؟ فبالتالي هذول الحالتين تقريبا شبه بعض،
+
+92
+00:07:36,040 --> 00:07:41,760
+وبيشتركوا في خاصية واحدة، وهي أن الـ character اللي
+
+93
+00:07:41,760 --> 00:07:44,660
+بدأت عنده المطابقة، الـ character اللي في الـ text،
+
+94
+00:07:44,660 --> 00:07:50,280
+اللي بدأت من عنده المطابقة مش موجود في باقي الـ
+
+95
+00:07:50,280 --> 00:07:56,540
+pattern، okay، وهذا الكلام على الحالتين، سواء كان
+
+96
+00:07:56,540 --> 00:08:01,160
+فشلت المطابقة من أولها، ولا فشلت في نص الـ .. في نص
+
+97
+00:08:01,160 --> 00:08:06,120
+الـ pattern، الحالتين التانيتين برضه شبه بعض، شبه
+
+98
+00:08:06,120 --> 00:08:14,360
+بعض، بإنه ايش؟ الحرف اللي على بداية المطابقة موجود
+
+99
+00:08:14,360 --> 00:08:21,580
+فيه instance في داخل الـ pattern، okay، فأنا الآن
+
+100
+00:08:21,580 --> 00:08:26,540
+من الطبيعي أن لما تحدث عدم مطابقة، سواء حدثت من
+
+101
+00:08:26,540 --> 00:08:29,560
+أولها، ولا حدثت في الوسط،
+
+102
+00:08:32,960 --> 00:08:39,700
+كونوا أن الحرف اللي بدأت عنده عملية المطابقة موجود
+
+103
+00:08:39,700 --> 00:08:44,340
+already، هنا الـ B موجودة، وهنا الـ R موجودة، بقدر
+
+104
+00:08:44,340 --> 00:08:49,640
+أنتقل لايش؟ للـ end الحرف هذا، يعني هنا بقفز قفزة
+
+105
+00:08:49,640 --> 00:08:53,540
+بمقدار اتنين مرة واحدة، اتنين جابتلي الـ B تحت الـ B،
+
+106
+00:08:53,540 --> 00:08:59,940
+صح؟ هنا قفزت بمقدار ايش؟ أربعة، جابتلي الـ R تحت الـ R،
+
+107
+00:09:00,200 --> 00:09:04,620
+وبعدين بكمل، بقارن هذا مع هذا، هذا مع هذا، صح؟
+
+108
+00:09:04,620 --> 00:09:08,880
+فهنا أنا، مقدار القفز هذا بيعتمد على هل الـ
+
+109
+00:09:08,880 --> 00:09:14,780
+character المحاذي لنهاية الـ pattern، لأقصى يمين الـ
+
+110
+00:09:14,780 --> 00:09:16,540
+pattern، نهاية الـ pattern من اليمين، هل الـ
+
+111
+00:09:16,540 --> 00:09:19,940
+character المحاذي موجود already في الـ text، في الـ
+
+112
+00:09:19,940 --> 00:09:22,970
+pattern، آسف، مش في الـ text، في الـ pattern، ولا مش
+
+113
+00:09:22,970 --> 00:09:30,610
+موجود، إذا مش موجود بحرك full length، على كامل طول
+
+114
+00:09:30,610 --> 00:09:35,310
+الـ pattern، بمقدار طول الـ pattern كامل، إذا موجود،
+
+115
+00:09:35,310 --> 00:09:43,230
+بحرك بمقدار بعد هذا الـ character عن نهاية الـ
+
+116
+00:09:43,230 --> 00:09:46,150
+pattern عن الـ rightmost، هذه المعلومة هي اللي
+
+117
+00:09:46,150 --> 00:09:51,060
+بسجلها في الجدول، بقاجي مسبقا قبل ما أبدأ عملية الـ
+
+118
+00:09:51,060 --> 00:09:57,980
+search للـ algorithm، تيجي تمسك الـ pattern، وبتجهز
+
+119
+00:09:57,980 --> 00:10:07,780
+الجدول بكل أحرف الأبجدية، من الـ A لغاية الـ Z، بسجل
+
+120
+00:10:07,780 --> 00:10:11,820
+أن هذا الـ A، هذا الـ pattern
+
+121
+00:10:15,770 --> 00:10:18,770
+موجود في الـ Pattern؟ أين؟ موجود على موضع کداش؟
+
+122
+00:10:18,770 --> 00:10:27,390
+بداية من اليمين 1,2,3,4، الـ B موجود أين؟ موجود
+
+123
+00:10:27,390 --> 00:10:32,230
+على .. بس الـ .. ليش؟ هو موجود في مكانين، بس بأخذ
+
+124
+00:10:32,230 --> 00:10:38,430
+الأول من اليمين على مسافة کداش؟ 2، الـ C مش موجود،
+
+125
+00:10:38,430 --> 00:10:39,150
+عشان أسجل،
+
+126
+00:10:44,150 --> 00:10:48,310
+اللي مش موجود، بأعطيه الـ full length تبع الـ
+
+127
+00:10:48,310 --> 00:10:51,470
+pattern، ليش؟ لأنه أنا إذا هو مش موجود، هقفز
+
+128
+00:10:51,470 --> 00:10:57,130
+بمقدار الـ full pattern، الـ full length، صح؟ فهي
+
+129
+00:10:57,130 --> 00:11:00,950
+أصلا الـ algorithm لما تيجي تجهز الجدول هذا، أصلا
+
+130
+00:11:00,950 --> 00:11:06,090
+بتروح أولا تعمل initialize للجدول، كل الأحرف تعطيهم
+
+131
+00:11:06,090 --> 00:11:09,690
+M، M اللي هو مقدار طول الـ pattern، بعدين بس اللي
+
+132
+00:11:09,690 --> 00:11:13,910
+بتغير، بعدين بتلف عليهم، بس اللي already اللي موجود
+
+133
+00:11:13,910 --> 00:11:20,470
+في الـ pattern هو اللي بتغيره من M إلى المقدار، صح؟
+
+134
+00:11:20,470 --> 00:11:30,550
+عندك أنت هاي المثال هذا، هاي عندك كلمة barber، هذا
+
+135
+00:11:30,550 --> 00:11:34,910
+اسمه shift table، shift لأنه بيحدد ليه کداش مسافة
+
+136
+00:11:34,910 --> 00:11:39,010
+الـ shift اللي بدها تتحركها الـ pattern، هذا shift
+
+137
+00:11:39,010 --> 00:11:43,330
+table بيعتمد على أساس من أساس الـ pattern، أنا نديت الـ
+
+138
+00:11:43,330 --> 00:11:46,870
+algorithm وعطيتها text وعطيتها pattern، فبتروح تاخد،
+
+139
+00:11:46,870 --> 00:11:50,610
+وطبعا لازم تكون الـ algorithm عارفة الـ alphabet ايش،
+
+140
+00:11:50,610 --> 00:11:53,870
+يعني الـ alphabet، يعني ايش هي الـ characters اللي
+
+141
+00:11:53,870 --> 00:11:59,380
+جاي منها، اللي مولّد منها الـ pattern والنص، صح؟ يعني
+
+142
+00:11:59,380 --> 00:12:03,760
+هل الـ alphabet بتحتمل special characters ولا لأ؟
+
+143
+00:12:03,760 --> 00:12:08,820
+بتحتمل digits ولا بس characters؟ هل بتحتمل space،
+
+144
+00:12:08,820 --> 00:12:11,820
+small letters ولا .. و capital letters ولا لأ؟ إذا
+
+145
+00:12:11,820 --> 00:12:14,540
+capital letters only، فالجدول هيحتوي بس على الـ
+
+146
+00:12:14,540 --> 00:12:17,580
+capital letters، إذا small، هو ده okay، case sensitive،
+
+147
+00:12:17,580 --> 00:12:22,180
+عندي الـ algorithm، لأن أنا بعمل جدول بمين؟ بالـ
+
+148
+00:12:22,180 --> 00:12:28,090
+small و بالـ .. و الـ Capital، فبناء على الـ
+
+149
+00:12:28,090 --> 00:12:31,190
+Alphabet، الـ Alphabet اللي هي مجموعة العناصر اللي
+
+150
+00:12:31,190 --> 00:12:37,590
+بده يتكون منها الـ Text و الـ Pattern، فبتشكل الجدول
+
+151
+00:12:37,590 --> 00:12:43,010
+هذا، الآن خلينا ناخد الـ example هذا، وبعدين بنرجع
+
+152
+00:12:43,010 --> 00:12:46,010
+على الـ algorithm، وبنعملها tracing، الـ example
+
+153
+00:12:46,010 --> 00:12:49,690
+هذا، أنا قلت إنه فيه إشكالية بسيطة، هنوقف عندك كمان
+
+154
+00:12:49,690 --> 00:12:55,310
+شوية بس من البداية، الأمر بيبدأ كالتالي، أن هاي الـ
+
+155
+00:12:55,310 --> 00:13:00,750
+text gym saw me in a barber shop، هذول طبعا يعني
+
+156
+00:13:00,750 --> 00:13:06,550
+فرغات، بتبدأ الـ algorithm بتحط الـ pattern مع الـ
+
+157
+00:13:06,550 --> 00:13:06,930
+text،
+
+158
+00:13:10,120 --> 00:13:15,760
+مع بعض، ولكن بتبدأ عملية المطابقة من اليمين، طبعا،
+
+159
+00:13:15,760 --> 00:13:21,560
+هنا مافيش مطابقة، فهذا معناته ايش؟ بتعمل shift بس
+
+160
+00:13:21,560 --> 00:13:25,760
+بمقدار کداش؟ مش الـ full length، عشان الـ a، هل موجودة
+
+161
+00:13:25,760 --> 00:13:28,420
+هنا ولا لأ، بروح أنا بتطلعش الآن الـ algorithm
+
+162
+00:13:28,420 --> 00:13:32,940
+مابتطلعش تبحث عن الـ a على طول، بتبحث في الـ table
+
+163
+00:13:32,940 --> 00:13:36,960
+بالظبط، فتلاقي أربعة، فتعمل shift أربعة على طول، وهي
+
+164
+00:13:36,960 --> 00:13:41,440
+مغّمرة، عملت shift 4، بمعنى أن الـ R تتحرك أربعة، وكل
+
+165
+00:13:41,440 --> 00:13:44,280
+اللي كان وراها، صح؟ هي واحد، اتنين، تلاتة، أربعة،
+
+166
+00:13:44,280 --> 00:13:48,200
+اتحركت، صارت الآن من الـ A، وهذا هو الداعي أننا
+
+167
+00:13:48,200 --> 00:13:53,020
+حركناها أربعة عشان تيجي الـ A تحت الـ A، صح؟ أجت
+
+168
+00:13:53,020 --> 00:13:55,880
+الـ A، مطابقة، عند الـ S وعند الـ B مافيش مطابقة،
+
+169
+00:13:55,880 --> 00:14:02,620
+فايش بنسوي؟ فايش بنسوي؟ بنعمل shift، shift من
+
+170
+00:14:02,620 --> 00:14:05,760
+القضايا و الـ E، ايش؟ نروح على الجدول، نشوف الـ S، کداش؟ ايش؟
+
+171
+00:14:05,760 --> 00:14:12,720
+ستة، هل معقول أني اروح أحرك ستة؟ لأ طبعا، صح؟ فالآن
+
+172
+00:14:12,720 --> 00:14:19,620
+السؤال هذا، هل الستة هذه، ايه؟
+
+173
+00:1
+
+223
+00:18:53,720 --> 00:18:57,800
+بدي من صفر لغاية الجبل الأخير هذا M ناقص واحد و
+
+224
+00:18:57,800 --> 00:19:02,880
+هذا M ناقص اثنين، صح؟ لعند M ناقص اثنين الآن بي
+
+225
+00:19:02,880 --> 00:19:11,100
+بيساوي الـ J عندها بيساوي صفر، بدي أروح على الـ B
+
+226
+00:19:11,100 --> 00:19:20,720
+في الجدول، وأيش بسجل؟ لائحة ناقص واحد، ناقص صفر، مظبوط
+
+227
+00:19:20,720 --> 00:19:26,400
+تسجل على الـ B خمسة. طب ليش اثنين؟ لأنه كمان شوية
+
+228
+00:19:26,400 --> 00:19:33,100
+حمسحها، وححط اثنين، okay؟ لأن هنا الـ J صارت واحد
+
+229
+00:19:33,100 --> 00:19:39,480
+آسف، صفر، واحد، اثنين، ثلاثة، أربعة، لأن عندي واحد حرف
+
+230
+00:19:39,480 --> 00:19:45,890
+الـ A، بروح تحته بسجل إيش؟ ستة ناقص واحد، ناقص صفر، ناقص
+
+231
+00:19:45,890 --> 00:19:49,790
+واحد، نعم، ستة ناقص واحد، ناقص واحد، اللي هي J ساعة
+
+232
+00:19:49,790 --> 00:19:55,470
+أربعة، المهم بهذه الطريقة، بشكل عام بنبني الـ shift table
+
+233
+00:19:55,470 --> 00:19:58,870
+بالضبط، بعد ذلك بيجي دور اللي هو الـ algorithm اللي
+
+234
+00:19:58,870 --> 00:20:03,450
+بدأ تعمل عملية اللي هي يعني هذه تشكيل الـ shift
+
+235
+00:20:03,450 --> 00:20:08,490
+table، هو خطوة من خطوات الـ algorithm، يعني أول شيء
+
+236
+00:20:08,490 --> 00:20:12,150
+for a given pattern of length M and the alphabet
+
+237
+00:20:12,150 --> 00:20:14,670
+الـ alphabet لازم تبقى من المعطيات
+
+238
+00:20:24,110 --> 00:20:28,110
+بناءً على الـ Algorithm اللي ذكرناه، خطوة رقم اثنين
+
+239
+00:20:28,110 --> 00:20:32,750
+حط الآن الـ pattern مع الـ text، اللي هي، ده الـ text
+
+240
+00:20:32,750 --> 00:20:36,190
+align the pattern against the beginning of
+
+241
+00:20:36,190 --> 00:20:39,150
+the text، بعدها repeat، repeat
+
+242
+00:20:41,210 --> 00:20:44,190
+من عند starting with the rightmost with the last
+
+243
+00:20:44,190 --> 00:20:46,810
+character يعني in the pattern، أخر واحد في الـ
+
+244
+00:20:46,810 --> 00:20:53,090
+pattern، قارن، وأرجع، وأرجع، okay، compare، خلاص هذا
+
+245
+00:20:53,090 --> 00:20:59,850
+الـ text الآن، خليني أشوفه كـ pseudocode، هاي أول شيء
+
+246
+00:20:59,850 --> 00:21:05,290
+خطوة
+
+247
+00:21:05,290 --> 00:21:08,930
+هي دي اللي هي creating الـ shift table، استدعاء للـ
+
+248
+00:21:08,930 --> 00:21:12,890
+algorithm تبع الـ shift table، بعد كده بنبدأ الـ I
+
+249
+00:21:12,890 --> 00:21:18,410
+بتبدأ على طول على الموضوع المقابل لمين؟ للـ
+
+250
+00:21:18,410 --> 00:21:22,290
+rightmost، فـ I بيساوي M ناقص واحد، يعني أنا ببدأ في
+
+251
+00:21:22,290 --> 00:21:26,810
+الـ text عند، إذا هي ده ستة، عند طبعاً بدايتها من صفر
+
+252
+00:21:26,810 --> 00:21:35,870
+عند خمسة لحد ما أخلص، لحد ما أوصل لإيش؟ للـ I للـ
+
+253
+00:21:35,870 --> 00:21:36,190
+text
+
+254
+00:21:41,570 --> 00:21:46,070
+الـ I للـ Text، لحد
+
+255
+00:21:46,070 --> 00:21:49,450
+ما هو أصل لنهاية الـ Text، الـ N هذه نهاية الـ Text
+
+256
+00:21:49,450 --> 00:21:54,710
+الـ K هو عبارة عن كمية الـ characters اللي تم
+
+257
+00:21:54,710 --> 00:22:02,990
+مطابقتها في اللحظة... يعني حتى الآن، فبنبدأ من عند
+
+258
+00:22:02,990 --> 00:22:10,280
+صفر، نخش الـ loop هذه، الـ loop هذه while الـ K لسه جوا
+
+259
+00:22:10,280 --> 00:22:15,800
+الـ M، يعني إحنا لسه جوا الـ M ما طلعناش عن... okay
+
+260
+00:22:15,800 --> 00:22:22,580
+ما خلصناش، while إن الـ character اللي في الـ P
+
+261
+00:22:22,580 --> 00:22:27,180
+مطابق للـ character اللي عنده في الـ text، ماشي، هذا
+
+262
+00:22:27,180 --> 00:22:33,520
+عبارة عن text of I ناقص K، K الآن بيساوي صفر، بعد
+
+263
+00:22:33,520 --> 00:22:40,600
+المطابقة، بصير واحد، فهنرجع جوا، صح؟ هذا pattern of M
+
+264
+00:22:40,600 --> 00:22:49,760
+ناقص واحد ناقص K، مظبوط، فأنا مع كل iteration في الـ
+
+265
+00:22:49,760 --> 00:22:52,700
+while loop هذا، بزود الـ K، بزود الـ K، يعني برجع جوا
+
+266
+00:22:52,700 --> 00:22:57,820
+وهذا الكلام طالما إنه فيه مطابقة. ما فيش مطابقة
+
+267
+00:22:57,820 --> 00:23:02,700
+يعني هذا الشرط انتهى، بطلع من الـ while loop، بطلع
+
+268
+00:23:02,700 --> 00:23:09,440
+عشان إيش أسوي؟ أعمل shift، okay؟ عشان أجي... هاد خارج
+
+269
+00:23:09,440 --> 00:23:15,140
+الـ... هاد خارج الـ while، علماً في مطابقة، بـ... بزود
+
+270
+00:23:15,140 --> 00:23:21,160
+الـ K، وبعدها الـ M، لما نخلص... لما هذا الـ condition
+
+271
+00:23:21,160 --> 00:23:25,180
+يصبح مش true، يعني اتخلص الـ... الـ pattern وكله
+
+272
+00:23:25,180 --> 00:23:29,600
+متطابق، متطابق، إيه بقى؟ خلاص، أنا لما الـ K بيساوي M
+
+273
+00:23:29,600 --> 00:23:33,840
+يبقى خلاص أنا لاقيت الـ pattern في الـ text، يبقى برجع
+
+274
+00:23:33,840 --> 00:23:42,120
+pointer على وين؟ مش... مش على... على هنا صح؟ هنا بداية
+
+275
+00:23:42,120 --> 00:23:47,400
+...بداية وين؟ وجد الـ pattern في الـ text، فأبدأ أقول I
+
+276
+00:23:47,400 --> 00:23:52,500
+ناقص M، بدي أقول I ناقص M، طبعاً زاد واحد عشان الـ
+
+277
+00:23:52,500 --> 00:23:57,820
+indices كلها بعيدة من الصفر. ما فيش مطابقة، وبدي
+
+278
+00:23:57,820 --> 00:24:03,780
+أعمل shift، بعمل shift للـ I بمقدار اللي في الـ table
+
+279
+00:24:03,780 --> 00:24:09,750
+للـ I هذه اللي أنا بدأت من عندها، بعمل shift المقدار
+
+280
+00:24:09,750 --> 00:24:15,230
+صار الـ I هنا، يبقى الآن أنا بأطابق، شوف، عملياً إحنا
+
+281
+00:24:15,230 --> 00:24:18,250
+نتخيل إن الـ pattern بتتحرك، بس هو الـ pattern
+
+282
+00:24:18,250 --> 00:24:21,770
+مابتتحركش، هو الـ pointer تبع الـ I اللي في الـ text
+
+283
+00:24:21,770 --> 00:24:26,010
+هو اللي بيتحرك، لما بنيجي نعمل shifting، الـ I هو اللي
+
+284
+00:24:26,010 --> 00:24:33,210
+بيتحرك، صح؟ الـ I بقفز قفزة بمقدار بمقدار القيمة اللي
+
+285
+00:24:33,210 --> 00:24:37,190
+في الـ table، قيمة إيش؟ T of I، إيش T of I؟ هذا الـ
+
+286
+00:24:37,190 --> 00:24:41,120
+character اللي هنا، إحنا صح؟ طابق، طابق، وبعدين
+
+287
+00:24:41,120 --> 00:24:44,080
+أنا حصل عدم مطابقة، بدي أعمل shift، بشوف هذا الـ
+
+288
+00:24:44,080 --> 00:24:48,700
+character اللي هو مشير إليه بـ I، بشوف في الـ table
+
+289
+00:24:48,700 --> 00:24:57,780
+تمام، okay، بشوف بشوف الـ character هنا، T of I، معناته
+
+290
+00:24:57,780 --> 00:25:01,820
+الـ character المخزن في الـ text I، هي الـ pointer، و T
+
+291
+00:25:01,820 --> 00:25:07,010
+of I هي الـ character، character هذا هنا، إيش الـ
+
+292
+00:25:07,010 --> 00:25:11,670
+value تبعه في الـ shift table، وهذا القيمة بأخذها
+
+293
+00:25:11,670 --> 00:25:18,090
+على أنها مقدار الـ shift، بضيفها على الـ I، تمام
+
+294
+00:25:18,090 --> 00:25:22,110
+في عندنا، قبل ما نطلع على الـ Boyer Moore algorithm
+
+295
+00:25:22,110 --> 00:25:29,410
+في عندنا في نهاية الـ chapter exercise، أي مثلها
+
+296
+00:25:29,410 --> 00:25:33,430
+الأخرى، apply الـ horse pools algorithm to search for
+
+297
+00:25:34,040 --> 00:25:39,880
+الـ pattern هذه في الـ text هذا، okay، بعدين
+
+298
+00:25:39,880 --> 00:25:49,600
+كمان في problem ثانية، بده عندك الـ... الـ جينات، والـ
+
+299
+00:25:49,600 --> 00:25:53,840
+DNA، في عندك هنا pattern، والـ pattern هذه
+
+300
+00:25:57,200 --> 00:26:03,620
+بدك أولاً، بدك تشكل الـ shift table تبع هذا الـ
+
+301
+00:26:03,620 --> 00:26:07,380
+pattern، على أساس إيش؟ الـ alphabet، مش كل حروف
+
+302
+00:26:07,380 --> 00:26:11,880
+الأبجدية، بس هدول الأربع حروف اللي بتكون منهم
+
+303
+00:26:11,880 --> 00:26:18,700
+سلسلة الجينات، okay، فبدك تشوف كل حرف وين موجود  عن
+
+304
+00:26:18,700 --> 00:26:22,880
+اليمين، وتعيمليه، هيبقى عندك الـ table إيش؟ بس أربع
+
+305
+00:26:22,880 --> 00:26:26,100
+كل الـ table هذا بس أربع عناصر
+
+306
+00:26:29,060 --> 00:26:35,480
+Okay، مظبوط؟ لأننا بنعمل الـ table للـ Alphabet، فهذا
+
+307
+00:26:35,480 --> 00:26:37,600
+اللي طالب من الـ Construct Shift Table for the
+
+308
+00:26:37,600 --> 00:26:41,970
+following gene segment، فبتطلع للألفا، بتشوف كل حرفها
+
+309
+00:26:41,970 --> 00:26:44,850
+وين موقعه في الـ pattern، بعد هيك apply الـ horse
+
+310
+00:26:44,850 --> 00:26:49,170
+pools algorithm، بقد ما كنت شكلت الـ table، بدك تشكل
+
+311
+00:26:49,170 --> 00:26:53,590
+دور على هذا الـ pattern في الـ text، في الـ string
+
+312
+00:26:53,590 --> 00:26:56,710
+هذا بناءً على الـ shift table، وبناءً على الـ horse
+
+313
+00:26:56,710 --> 00:27:01,370
+pools algorithm، عموماً الأسئلة من واحد، اثنين، لغاية
+
+314
+00:27:01,370 --> 00:27:05,790
+أعتقد أربعة، كلهم في الـ horse pool، وكلهم مرشحين
+
+315
+00:27:05,790 --> 00:27:06,110
+يعني
+
+316
+00:27:09,320 --> 00:27:14,400
+فأنتوا حلوهم، وأنا هخليكم إيش نسوي منها الحين؟ نطلب
+
+317
+00:27:14,400 --> 00:27:18,920
+طبعاً إحنا في عندنا حاطين علامة للـ homeworkات، بإننا
+
+318
+00:27:18,920 --> 00:27:23,280
+نبدأ نحسب من الآن، يعني اللي راح خلاص، ماشي، نحسب من
+
+319
+00:27:23,280 --> 00:27:26,360
+الآن، فاعملي السؤال الأول، والسؤال الثاني، وسلميهم
+
+320
+00:27:26,360 --> 00:27:32,960
+ماشي، اللي الثالث والرابع، حلوهم بس ما تسلميهم، مش
+
+321
+00:27:32,960 --> 00:27:35,740
+الخامس برضه على... والخامس والسادس على الـ horse
+
+322
+00:27:35,740 --> 00:27:41,740
+pool، السابع والثامن والتاسع على الـ algorithm
+
+323
+00:27:41,740 --> 00:27:46,420
+الثانية اللي بدنا نحكي فيها الآن، لأ، والعاشر كمان
+
+324
+00:27:46,420 --> 00:27:50,220
+يعني من واحد لستة horse pool، ومن سبعة لعشرة Boyer
+
+325
+00:27:50,220 --> 00:27:54,260
+Moore، بس أنت بدك تسلمي مثل الأول والثاني، اطلع عليهم
+
+326
+00:27:54,260 --> 00:27:57,820
+أنت هتطلع من، لحد ما تشوف السؤال، هتعرفي
+
+327
+00:27:59,630 --> 00:28:02,070
+هتميزي إذا هو على الـ Algorithm هذا، ولا على
+
+328
+00:28:02,070 --> 00:28:05,990
+الأخرى، فمرة أخرى، أنا من الآن، الأول، الستة الأوائل
+
+329
+00:28:05,990 --> 00:28:12,050
+الستة الأولانين، هدول في الـ horse pool، حلوهم وسلّمي
+
+330
+00:28:12,050 --> 00:28:16,230
+الأول والثاني، طيب، نطلع على الـ algorithm الثاني، على
+
+331
+00:28:16,230 --> 00:28:19,510
+السريع، معانا... معانا ممكن عشر دقائق، وربع ساعة، الـ
+
+332
+00:28:19,510 --> 00:28:25,030
+algorithm الثاني بتشترك مع الـ horse pool في بعض
+
+333
+00:28:25,030 --> 00:28:29,080
+الأمور، منها إنها بتستخدم الـ shift table نفسه، الـ
+
+334
+00:28:29,080 --> 00:28:31,620
+horse pool، الـ shift table اللي بينعمل في الـ horse
+
+335
+00:28:31,620 --> 00:28:36,360
+pool، بيستخدم، بس مش لحاله، بيستخدم في الـ Boyer Moore
+
+336
+00:28:36,360 --> 00:28:44,300
+بس مش لحاله، okay، خلّيني أطلع على كيف بتستخدمه، أولاً
+
+337
+00:28:44,300 --> 00:28:50,340
+اسمه هنا اسمه الـ bad symbol shift، في عندي نوعين من
+
+338
+00:28:50,340 --> 00:28:51,960
+الـ shift هذا، واحد منهم
+
+339
+00:28:55,080 --> 00:28:58,480
+الـ shift اللي بيستخدم في الـ horsepool، بيستخدم عندنا في
+
+340
+00:28:58,480 --> 00:29:03,320
+الـ Boyer Moore، واسمه الـ bad symbol shift، وفيه shift
+
+341
+00:29:03,320 --> 00:29:07,180
+أخرى، الـ bad symbol shift هي ببساطة شديدة، horsepool
+
+342
+00:29:07,180 --> 00:29:13,020
+shift، الـ shift المستخدم في الـ horsepool، ولكن الـ shift
+
+343
+00:29:13,020 --> 00:29:21,720
+بتيجي كالتالي، يعني إحنا في عندي T of C، T of C هذه هي
+
+344
+00:29:21,720 --> 00:29:25,320
+الـ value اللي في الـ shift table، في الـ bad symbol
+
+345
+00:29:25,320 --> 00:29:29,080
+نسميه bad symbol، ليه سميناه bad symbol؟ لأنه...
+
+346
+00:29:29,080 --> 00:29:34,140
+لأنه هو جاي على أساس إنه في عدم مطابقة، عدم مطابقة
+
+347
+00:29:34,140 --> 00:29:39,220
+الـ symbol اللي مش مطابق، هذا bad symbol، okay، فهذا
+
+348
+00:29:39,220 --> 00:29:44,780
+نسميه T1، الـ table هذا نسميه T1، و T1 of C يعني
+
+349
+00:29:44,780 --> 00:29:48,340
+القيمة اللي جاية من هذا الـ table، C هنا الـ
+
+350
+00:29:48,340 --> 00:29:54,600
+character، okay، ففي عندي أنا الـ size of the shift
+
+351
+00:29:54,600 --> 00:30:01,380
+okay، الـ size of the shift عبارة عن T1 of C ناقص الـ
+
+352
+00:30:01,380 --> 00:30:07,020
+K، إيش الـ K؟ اللي هي جدّيش إحنا عملياً مطابقين حتى
+
+353
+00:30:07,020 --> 00:30:13,500
+الآن، يعني افترض إن أنا حاطط الـ pattern على جبال الـ
+
+354
+00:30:13,500 --> 00:30:16,700
+SI، هاي الـ pattern، هاي عناصر الـ pattern
+
+355
+00:30:19,430 --> 00:30:25,270
+هذا عنصر، وهذا عنصر، طبعاً هذه النقطة بتشير إلى عدة
+
+356
+00:30:25,270 --> 00:30:30,390
+عناصر، بس المهم هي عنصر rightmost، جاي على جبال SI
+
+357
+00:30:30,390 --> 00:30:33,750
+ففي عندي هنا مطابقة، وفي عندي برضه كمان مطابقة
+
+358
+00:30:33,750 --> 00:30:40,110
+لعند SI ناقص K، هذه المسافة كلها عبارة عن إيش؟ K، صح
+
+359
+00:30:40,110 --> 00:30:46,390
+ولا لأ؟ ممتازة، حدثت
+
+360
+00:30:46,390 --> 00:30:50,830
+عدم المطابقة، إن الـ character C مش مطابق لهذا، فاللي
+
+361
+00:30:50,830 --> 00:30:55,370
+بيحصل إنه إحنا هنعمل shift مش على أساس هذه الحالة
+
+362
+00:30:55,370 --> 00:31:01,530
+إلا لأ، كمان هنخصم منها اللي هو K، يعني أنا
+
+363
+00:31:01,530 --> 00:31:06,310
+المطابقة بدأت من هنا، E R مع R، E مع E، والـ S مش
+
+364
+00:31:06,310 --> 00:31:10,710
+مطابق للـ B، فيعني المفروض بناءً على الـ horse pool
+
+365
+00:31:10,710 --> 00:31:21,910
+إني انتقل لوين؟ الـ shift صار ثلاثة، لكن هنا عمل shift
+
+366
+00:31:21,910 --> 00:31:30,250
+بمقدار إيش؟ أربعة، مظبوط؟ ليش؟ لأن الـ T1 of S
+
+367
+00:31:30,250 --> 00:31:38,150
+بتساوي جدّيش؟ الـ S... الـ S... الـ S مش موجودة في الـ
+
+368
+00:31:38,150 --> 00:31:47,590
+...ستة، okay، الاثنين هي عبارة عن إيش؟ عدد الـ K، صح؟
+
+369
+00:31:48,540 --> 00:31:53,900
+فالـ T of S ناقص الـ K ويساوي 6 ناقص 2 ويساوي 4
+
+370
+00:31:53,900 --> 00:31:59,080
+عمل shift بمقدار 4، كم الـ K يساوي 2؟ هاي المطابقة
+
+371
+00:31:59,080 --> 00:32:05,560
+حتى الآن 2، هذا اسمه الـ good suffix، suffix يعني
+
+372
+00:32:05,560 --> 00:32:10,140
+جزء من النهاية، good لأنه حصل عنده مطابقة
+
+373
+00:32:13,840 --> 00:32:18,040
+هذا الـ symbol اسمه الـ bad symbol، لأنه حصل عنده عدم
+
+374
+00:32:18,040 --> 00:32:23,500
+المطابقة، في الـ horse pool بتعمل الـ shift بس على
+
+375
+00:32:23,500 --> 00:32:28,940
+أساس الـ bad symbol، وقيمة مقدار الـ shift بتيجي من
+
+376
+00:32:28,940 --> 00:32:34,160
+الـ table، وخلاص، لا بنطرح ولا بنطلع على K، ولا بنطرح
+
+377
+00:32:34,160 --> 00:32:39,320
+مظبوط؟ هي عندك مثال آخر، عند
+
+378
+00:32:39,320 --> 00:32:46,920
+الـ A، الـ bad symbol هنا هي الـ A، ما فيش مطابقة، فالـ
+
+379
+00:32:46,920 --> 00:32:52,140
+T of A، خلي بالك إنها T1، لأن في عندي shift آخر
+
+380
+00:32:52,140 --> 00:32:59,240
+قدام، هنطلع عليها، هتكون T2، T1، وممكن نقول D1 برضه، D
+
+381
+00:32:59,240 --> 00:33:03,700
+يعني الـ distance، جدّيش مقدار القفزة، مسافة القفزة
+
+382
+00:33:03,700 --> 00:33:10,820
+اللي بدنا نقفزها، T1 of الـ A بيساوي جدّيش؟ اللي هي الـ
+
+383
+00:33:10,820 --> 00:33:16,820
+...آسف، الـ distance هنا دي واحد بيساوي T واحد of A
+
+384
+00:33:16,820 --> 00:33:25,580
+ناقص الـ K، الـ T واحد of A جدّيش؟ أربعة، ناقص الـ K برضه
+
+385
+00:33:25,580 --> 00:33:31,660
+اثنين، هنا بيساوي اثنين، جدّيش؟ عمل قفزة بمقدار اثنين
+
+386
+00:33:31,660 --> 00:33:39,460
+حركة، ده مقدار اثنين، طيب، هذا الكلام كويس، عالم إنه
+
+387
+00:33:42,320 --> 00:33:47,420
+الفرق هذا أكبر من صفر، إذا صار صفر أو دخل في
+
+388
+00:33:47,420 --> 00:33:51,520
+
+445
+00:38:52,340 --> 00:38:56,520
+maximum شفت الآن لأنه بعد هيك مش موجودين، مش
+
+446
+00:38:56,520 --> 00:39:02,920
+موجودين، okay اللي موجود من هذا .. هذا .. هذا
+
+447
+00:39:02,920 --> 00:39:07,820
+الثلاثة، وهنا الأربعة، وهنا الخمسة، هدول اللي
+
+448
+00:39:07,820 --> 00:39:13,500
+موجود منهم بس مقدار هذا، فوجدها بانتقل إليه عشان
+
+449
+00:39:13,500 --> 00:39:20,680
+هيك أربعة أربعة، بِنتقل، شفت بحيث أنها TGL، فواضح
+
+450
+00:39:20,680 --> 00:39:27,100
+فهذه الـdistance الثانية بتساوي إيش؟ خلي بالك أن
+
+451
+00:39:27,100 --> 00:39:31,380
+هنا .. معلش، في شغل صغير، احنا الـD1 قلنا احنا إذا
+
+452
+00:39:31,380 --> 00:39:37,020
+كان المقدار هذا سالب، بقفز قفزة واحدة، فهنا الـD1
+
+453
+00:39:37,020 --> 00:39:40,780
+بتساوي maximum of، يعني إذا هذا سالب، احنا هيكون الـ
+
+454
+00:39:40,780 --> 00:39:44,600
+واحد أكبر منه، فباخد الـواحد، لأن D2 هي عبارة عن
+
+455
+00:39:44,600 --> 00:39:49,300
+اللي هي الـgood suffix table
+
+456
+00:39:56,590 --> 00:40:02,990
+حضرة جاية، بنطلع على الـalgorithm، كيف الـbuyer more
+
+457
+00:40:02,990 --> 00:40:10,250
+الـalgorithm عملياً، وبنشوف الـexample، نشوف الـ
+
+458
+00:40:10,250 --> 00:40:11,270
+algorithm، نشوف الـexample
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ReOaFv15_Os_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ReOaFv15_Os_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..6e49dffe4bf1dfa1907a8a9324cb22e8d058a9ed
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ReOaFv15_Os_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4631, "start": 20.89, "end": 46.31, "text": "ماشي بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف المرسلين اليوم إن شاء الله بدنا نكمل مطرح ما أوجفنا في ال chapter 7 المحاضرة السابقة وكان موضوع ال chapter 7 هو space and time trade-offs على السريع الفكرة الأساسية أنه احنا ال algorithmات بتعمل عملية جانبية", "tokens": [2304, 33599, 1829, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 25894, 5551, 8592, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 36145, 13412, 16606, 21984, 47525, 8315, 8717, 24793, 1211, 3714, 9566, 2288, 5016, 19446, 5551, 29245, 5172, 8315, 8978, 2423, 7187, 1614, 9673, 5016, 46958, 25720, 21136, 16758, 28671, 4032, 41361, 3714, 2407, 11242, 45367, 2423, 7187, 1614, 31439, 1901, 293, 565, 4923, 12, 19231, 15844, 21136, 16572, 3615, 27188, 4117, 25720, 16247, 3794, 32277, 10632, 14739, 3224, 1975, 5016, 8315, 2423, 9284, 9307, 39894, 25957, 1211, 6225, 42213, 10632, 10874, 7649, 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"end": 203.96, "word": " ال", "probability": 0.94384765625}, {"start": 203.96, "end": 204.32, "word": " pattern", "probability": 0.96435546875}, {"start": 204.32, "end": 204.94, "word": " ولكن", "probability": 0.863037109375}, {"start": 204.94, "end": 205.84, "word": " المقارنة", "probability": 0.9923828125}, {"start": 205.84, "end": 206.36, "word": " بتبدأ", "probability": 0.9344075520833334}, {"start": 206.36, "end": 206.5, "word": " من", "probability": 0.9951171875}, {"start": 206.5, "end": 206.94, "word": " اليمين", "probability": 0.8564453125}, {"start": 206.94, "end": 207.64, "word": " للشمال", "probability": 0.83740234375}, {"start": 207.64, "end": 208.26, "word": " او", "probability": 0.8203125}, {"start": 208.26, "end": 209.18, "word": " اتجاهها", "probability": 0.96953125}], "temperature": 1.0}, {"id": 9, "seek": 23893, "start": 209.43, "end": 238.93, "text": "من اليمين للشمال مش من الشمال لليمين يعني بنقارن أخر عنصر في ال pattern مع المقابل إله في ال text إذا في مطابقة مع 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{"start": 218.41, "end": 218.73, "word": " مع", "probability": 0.97021484375}, {"start": 218.73, "end": 218.99, "word": " اللي", "probability": 0.89990234375}, {"start": 218.99, "end": 219.37, "word": " ياليه", "probability": 0.8233642578125}, {"start": 219.37, "end": 219.51, "word": " في", "probability": 0.203857421875}, {"start": 219.51, "end": 220.11, "word": " مطابقة", "probability": 0.9781494140625}, {"start": 220.11, "end": 220.33, "word": " مع", "probability": 0.9775390625}, {"start": 220.33, "end": 220.53, "word": " اللي", "probability": 0.981201171875}, {"start": 220.53, "end": 220.97, "word": " ياليه", "probability": 0.98388671875}, {"start": 220.97, "end": 221.35, "word": " إذا", "probability": 0.9541015625}, {"start": 221.35, "end": 221.77, "word": " لاجيناهم", "probability": 0.73203125}, {"start": 221.77, "end": 222.03, "word": " كلهم", "probability": 0.805908203125}, {"start": 222.03, "end": 222.49, "word": " مطابقين", "probability": 0.89658203125}, {"start": 222.49, "end": 222.65, "word": " يبقى", "probability": 0.60760498046875}, {"start": 222.65, "end": 223.15, "word": " خلاص", "probability": 0.9923502604166666}, {"start": 223.15, "end": 224.89, "word": " okay", "probability": 0.529296875}, {"start": 224.89, "end": 229.43, "word": " فالمطابقة", "probability": 0.96494140625}, {"start": 229.43, "end": 230.71, "word": " بتبدأ", "probability": 0.9695638020833334}, {"start": 230.71, "end": 231.47, "word": " من", "probability": 0.9306640625}, {"start": 231.47, "end": 232.31, "word": " إيش؟", "probability": 0.779296875}, {"start": 232.31, "end": 232.53, "word": " من", "probability": 0.95947265625}, {"start": 232.53, "end": 233.01, "word": " اليمين", "probability": 0.85107421875}, {"start": 233.01, "end": 234.65, "word": " هذا", "probability": 0.4716796875}, {"start": 234.65, "end": 234.99, "word": " الشيء", "probability": 0.7698567708333334}, {"start": 234.99, "end": 235.33, "word": " الشيء", "probability": 0.9293619791666666}, {"start": 235.33, "end": 235.75, "word": " التاني", "probability": 0.9554036458333334}, {"start": 235.75, "end": 236.09, "word": " إنها", "probability": 0.7314453125}, {"start": 236.09, "end": 236.71, "word": " بتستخدم", "probability": 0.9725341796875}, {"start": 236.71, "end": 237.07, "word": " فكرة", "probability": 0.9842122395833334}, {"start": 237.07, "end": 237.41, "word": " ال", "probability": 0.9375}, {"start": 237.41, "end": 237.69, "word": " time", "probability": 0.67138671875}, {"start": 237.69, "end": 238.19, "word": " space", "probability": 0.583984375}, {"start": 238.19, "end": 238.65, "word": " trade", "probability": 0.91064453125}, {"start": 238.65, "end": 238.93, "word": "-off", "probability": 0.726318359375}], "temperature": 1.0}, {"id": 10, "seek": 26220, "start": 239.34, "end": 262.2, "text": "فبتروح تعمل task في البداية تعمل analysis على ال pattern تحلل ال pattern وبتسجل table اسمه shift table وبناء على القيم اللي في shift table بتشتغل", "tokens": [5172, 3555, 2655, 32887, 5016, 6055, 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أحرك بس بمقدار واحد يعني أجيب أجيب ال R بس أزج مقدار character ولا two ولا three ولا كده", "tokens": [4117, 3215, 33599, 9122, 2304, 10632, 5513, 13672, 1829, 5551, 5016, 31747, 8032, 1211, 5551, 5016, 31747, 4724, 3794, 4724, 2304, 28543, 9640, 36764, 24401, 37495, 22653, 5551, 7435, 1829, 3555, 5551, 7435, 1829, 3555, 2423, 497, 4724, 3794, 5551, 11622, 7435, 3714, 28543, 9640, 2517, 49429, 732, 49429, 1045, 49429, 9122, 3215, 3224], "avg_logprob": -0.3028408950025385, "compression_ratio": 1.4274809160305344, "no_speech_prob": 0.0, "words": [{"start": 341.9, "end": 342.52, "word": "كداش", "probability": 0.3469645182291667}, {"start": 342.52, "end": 342.94, "word": " كمية", "probability": 0.93310546875}, {"start": 342.94, "end": 343.34, "word": " shift", "probability": 0.40625}, {"start": 343.34, "end": 343.62, "word": " اللي", "probability": 0.6640625}, {"start": 343.62, "end": 344.5, "word": " أحرك", "probability": 0.778076171875}, {"start": 344.5, "end": 345.1, "word": " هل", 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"end": 470.28, "word": " ال", "probability": 0.97607421875}, {"start": 470.28, "end": 470.64, "word": " pattern", "probability": 0.951171875}, {"start": 470.64, "end": 471.88, "word": " okay", "probability": 0.389404296875}, {"start": 471.88, "end": 474.76, "word": " وهذا", "probability": 0.6495361328125}, {"start": 474.76, "end": 475.18, "word": " الكلام", "probability": 0.96435546875}, {"start": 475.18, "end": 475.38, "word": " على", "probability": 0.54638671875}, {"start": 475.38, "end": 475.82, "word": " الحالتين", "probability": 0.98486328125}, {"start": 475.82, "end": 476.12, "word": " سواء", "probability": 0.9376627604166666}, {"start": 476.12, "end": 476.54, "word": " كان", "probability": 0.974609375}, {"start": 476.54, "end": 477.24, "word": " فشلت", "probability": 0.8045654296875}, {"start": 477.24, "end": 477.7, "word": " المطابقة", "probability": 0.9932861328125}, {"start": 477.7, "end": 477.86, "word": " من", "probability": 0.98876953125}, {"start": 477.86, "end": 478.28, "word": " أولها", "probability": 0.9440104166666666}, {"start": 478.28, "end": 478.5, "word": " ولا", "probability": 0.57470703125}, {"start": 478.5, "end": 479.0, "word": " فشلت", "probability": 0.9896240234375}, {"start": 479.0, "end": 479.12, "word": " في", "probability": 0.9521484375}, {"start": 479.12, "end": 479.44, "word": " نص", "probability": 0.98681640625}, {"start": 479.44, "end": 479.76, "word": " ال", "probability": 0.67724609375}, {"start": 479.76, "end": 479.88, "word": " ..", "probability": 0.84228515625}], "temperature": 1.0}, {"id": 20, "seek": 50956, "start": 480.78, "end": 509.56, "text": "في نص ال pattern الحالتين التانية دو برضه شبه بعض شبه بعض بإنه إيش الحرف اللي على بداية المطابقة موجود في منه incident في داخل ال pattern okay فانا الآن من الطبيعي ان لما تحدث عدم مطابقة سواء حدثت من أولها ولا حدثت في الوسط", "tokens": [41185, 8717, 9381, 2423, 5102, 21542, 6027, 2655, 9957, 16712, 7649, 10632, 11778, 2407, 4724, 43042, 3224, 13412, 3555, 3224, 45030, 11242, 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"probability": 0.7021484375}, {"start": 1212.15, "end": 1212.27, "word": " ال", "probability": 0.6640625}, {"start": 1212.27, "end": 1212.51, "word": " alphabet", "probability": 0.32470703125}, {"start": 1212.51, "end": 1212.83, "word": " لازم", "probability": 0.99072265625}, {"start": 1212.83, "end": 1213.17, "word": " تبقى", "probability": 0.9412841796875}, {"start": 1213.17, "end": 1213.83, "word": " من", "probability": 0.99462890625}, {"start": 1213.83, "end": 1214.67, "word": " المعطيات", "probability": 0.9578125}], "temperature": 1.0}, {"id": 47, "seek": 123915, "start": 1224.11, "end": 1239.15, "text": "بناء على الـ Algorithm اللي ذكرناه خطوة رقم اتنين حط الآن ال pattern مع عجبال اللي هي ده عجبال ال text align the pattern against the beginning of the text بعدها repeat repeat", "tokens": [3555, 1863, 16606, 15844, 2423, 39184, 35014, 6819, 76, 13672, 1829, 29910, 37983, 8315, 3224, 16490, 9566, 2407, 3660, 12602, 4587, 2304, 1975, 2655, 1863, 9957, 11331, 9566, 6024, 48506, 2423, 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algorithm to search for", "tokens": [6027, 39184, 2158, 6055, 3555, 3615, 3224, 8978, 2423, 39184, 5513, 3199, 37037, 15730, 25062, 32640, 3660, 4724, 47283, 3215, 11296, 15844, 16472, 11296, 3714, 28543, 9640, 2423, 5513, 4724, 11242, 33911, 11296, 15844, 2423, 286, 46811, 10943, 8978, 43242, 8315, 12174, 36150, 19446, 8717, 9566, 1211, 3615, 15844, 2423, 3286, 7224, 21644, 9284, 8978, 43242, 8315, 8978, 8717, 11296, 10632, 2423, 7187, 5380, 36632, 50113, 1211, 11296, 16247, 34740, 3079, 2423, 6832, 28688, 9284, 281, 3164, 337], "avg_logprob": -0.3811313215690323, "compression_ratio": 1.568888888888889, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1506.75, "end": 1507.01, "word": "الـ", "probability": 0.4124755859375}, {"start": 1507.01, "end": 1507.21, "word": " value", "probability": 0.4853515625}, {"start": 1507.21, "end": 1507.65, "word": " تبعه", "probability": 0.7723388671875}, {"start": 1507.65, "end": 1507.93, "word": " في", "probability": 0.9130859375}, {"start": 1507.93, "end": 1508.11, "word": " الـ", "probability": 0.578857421875}, {"start": 1508.11, "end": 1509.09, "word": " shift", "probability": 0.76025390625}, {"start": 1509.09, "end": 1509.47, "word": " table", "probability": 0.7900390625}, {"start": 1509.47, "end": 1510.55, "word": " وهذا", "probability": 0.529052734375}, {"start": 1510.55, "end": 1511.11, "word": " القيمة", "probability": 0.9256184895833334}, {"start": 1511.11, "end": 1511.67, "word": " باخدها", "probability": 0.7281494140625}, {"start": 1511.67, "end": 1511.91, "word": " على", "probability": 0.59619140625}, {"start": 1511.91, "end": 1512.33, "word": " انها", "probability": 0.70458984375}, {"start": 1512.33, "end": 1512.85, "word": " مقدار", "probability": 0.96142578125}, {"start": 1512.85, "end": 1512.97, "word": " ال", "probability": 0.689453125}, {"start": 1512.97, "end": 1513.23, "word": " shift", "probability": 0.7099609375}, {"start": 1513.23, "end": 1514.29, "word": " بضيفها", "probability": 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{"start": 1549.96, "end": 1550.3, "word": " في", "probability": 0.48876953125}, {"start": 1550.3, "end": 1550.72, "word": " عندك", "probability": 0.959228515625}, {"start": 1550.72, "end": 1551.06, "word": " هنا", "probability": 0.9404296875}, {"start": 1551.06, "end": 1552.66, "word": " pattern", "probability": 0.91259765625}, {"start": 1552.66, "end": 1553.0, "word": " و", "probability": 0.70361328125}, {"start": 1553.0, "end": 1553.1, "word": " ال", "probability": 0.85986328125}, {"start": 1553.1, "end": 1553.38, "word": " pattern", "probability": 0.9482421875}, {"start": 1553.38, "end": 1553.84, "word": " هذه", "probability": 0.8017578125}], "temperature": 1.0}, {"id": 60, "seek": 158610, "start": 1557.2, "end": 1586.1, "text": "بدك اولا بدك تشكل ال shift table تبع هذا ال pattern على اساس ايش ال alphabet مش كل حروف الأبجادية بس هدول الأربع أحرف اللي بتكون منهم سلسلة الجينات okay فبدك تشوف كل حرف وين موجود بعضه عن اليمين و تعمليه هيبقى عندك ال table ايش بس اربع كل ال table هذا بس اربع عناصر", "tokens": [3555, 3215, 4117, 1975, 12610, 995, 47525, 4117, 6055, 8592, 28820, 2423, 5513, 3199, 6055, 3555, 3615, 23758, 2423, 5102, 15844, 24525, 32277, 1975, 1829, 8592, 2423, 23339, 37893, 28242, 11331, 32887, 5172, 16247, 3555, 7435, 18513, 10632, 4724, 3794, 8032, 3215, 12610, 16247, 25513, 3615, 5551, 5016, 28480, 13672, 1829, 39894, 30544, 9154, 16095, 8608, 1211, 3794, 37977, 25724, 1829, 8315, 2655, 1392, 6156, 44510, 4117, 6055, 8592, 38688, 28242, 11331, 28480, 4032, 9957, 3714, 29245, 23328, 45030, 11242, 3224, 18871, 2423, 32640, 9957, 4032, 6055, 25957, 20292, 3224, 8032, 1829, 3555, 4587, 7578, 43242, 4117, 2423, 3199, 1975, 1829, 8592, 4724, 3794, 1975, 25513, 3615, 28242, 2423, 3199, 23758, 4724, 3794, 1975, 25513, 3615, 18871, 33546, 2288], "avg_logprob": -0.1950520772486925, "compression_ratio": 1.7983539094650205, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1557.1999999999998, "end": 1558.08, "word": "بدك", "probability": 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"probability": 0.9586588541666666}, {"start": 1578.7, "end": 1578.82, "word": " عن", "probability": 0.88916015625}, {"start": 1578.82, "end": 1579.36, "word": " اليمين", "probability": 0.8463541666666666}, {"start": 1579.36, "end": 1579.56, "word": " و", "probability": 0.54248046875}, {"start": 1579.56, "end": 1580.16, "word": " تعمليه", "probability": 0.8616943359375}, {"start": 1580.16, "end": 1580.6, "word": " هيبقى", "probability": 0.810986328125}, {"start": 1580.6, "end": 1580.88, "word": " عندك", "probability": 0.994384765625}, {"start": 1580.88, "end": 1581.02, "word": " ال", "probability": 0.95849609375}, {"start": 1581.02, "end": 1581.32, "word": " table", "probability": 0.93212890625}, {"start": 1581.32, "end": 1581.72, "word": " ايش", "probability": 0.82373046875}, {"start": 1581.72, "end": 1582.32, "word": " بس", "probability": 0.805419921875}, {"start": 1582.32, "end": 1582.88, "word": " اربع", "probability": 0.8357747395833334}, {"start": 1582.88, "end": 1583.56, "word": " كل", "probability": 0.5322265625}, {"start": 1583.56, "end": 1583.72, "word": " ال", "probability": 0.95556640625}, {"start": 1583.72, "end": 1583.92, "word": " table", "probability": 0.892578125}, {"start": 1583.92, "end": 1584.16, "word": " هذا", "probability": 0.482421875}, {"start": 1584.16, "end": 1584.44, "word": " بس", "probability": 0.98291015625}, {"start": 1584.44, "end": 1584.9, "word": " اربع", "probability": 0.9103190104166666}, {"start": 1584.9, "end": 1586.1, "word": " عناصر", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 61, "seek": 159904, "start": 1589.06, "end": 1599.04, "text": "Okay، مظبوط؟ لأننا بنعمل الـtable للـAlphabet فهذا اللي طالب من الـConstruct Shift Table for the following gene segment", "tokens": [8297, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 5296, 33456, 8315, 44945, 25957, 1211, 2423, 39184, 23811, 24976, 39184, 9171, 20890, 6156, 3224, 15730, 13672, 1829, 23032, 6027, 3555, 9154, 2423, 39184, 34, 4068, 1757, 28304, 25535, 337, 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{"start": 1698.85, "end": 1699.51, "word": " ال", "probability": 0.98388671875}, {"start": 1699.51, "end": 1699.87, "word": " algorithm", "probability": 0.916015625}, {"start": 1699.87, "end": 1700.55, "word": " التاني", "probability": 0.85595703125}, {"start": 1700.55, "end": 1701.79, "word": " بتشترك", "probability": 0.9451904296875}, {"start": 1701.79, "end": 1701.99, "word": " مع", "probability": 0.99267578125}, {"start": 1701.99, "end": 1702.15, "word": " ال", "probability": 0.99609375}, {"start": 1702.15, "end": 1702.39, "word": " host", "probability": 0.927734375}, {"start": 1702.39, "end": 1702.79, "word": " pool", "probability": 0.990234375}, {"start": 1702.79, "end": 1703.39, "word": " في", "probability": 0.955078125}, {"start": 1703.39, "end": 1705.03, "word": " بعض", "probability": 0.877197265625}, {"start": 1705.03, "end": 1705.47, "word": " الأمور", "probability": 0.9890950520833334}, {"start": 1705.47, "end": 1706.17, "word": " منها", "probability": 0.96484375}, {"start": 1706.17, "end": 1706.65, "word": " أنها", "probability": 0.6865234375}, {"start": 1706.65, "end": 1707.23, "word": " بتستخدم", "probability": 0.9669189453125}, {"start": 1707.23, "end": 1707.35, "word": " ال", "probability": 0.8037109375}, {"start": 1707.35, "end": 1707.51, "word": " shift", "probability": 0.96435546875}, {"start": 1707.51, "end": 1707.89, "word": " table", "probability": 0.88720703125}, {"start": 1707.89, "end": 1708.41, "word": " نفسه", "probability": 0.9913736979166666}], "temperature": 1.0}, {"id": 66, "seek": 173196, "start": 1708.9, "end": 1731.96, "text": "الـ Hose Pool الـ Shiftable اللي بينعمل في الـ Hose Pool بيستخدم بس مش لحاله بيستخدم في ال boiler more بس مش لحاله okay خلاني أطلع على كيف بتستخدمه أولا اسمه هنا اسمه ال bad symbol shift في عندي نوعين من ال shift هذا واحد منهم", "tokens": [6027, 39184, 389, 541, 46188, 2423, 39184, 28304, 712, 13672, 1829, 49374, 25957, 1211, 8978, 2423, 39184, 389, 541, 46188, 4724, 1829, 14851, 9778, 40448, 4724, 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" اتنين", "probability": 0.983154296875}, {"start": 2008.3, "end": 2009.16, "word": " جداش", "probability": 0.9134114583333334}, {"start": 2009.16, "end": 2009.4, "word": " عمل", "probability": 0.843505859375}, {"start": 2009.4, "end": 2009.82, "word": " قفزة", "probability": 0.8560791015625}, {"start": 2009.82, "end": 2010.44, "word": " بمقدار", "probability": 0.85858154296875}, {"start": 2010.44, "end": 2011.66, "word": " اتنين", "probability": 0.989013671875}, {"start": 2011.66, "end": 2012.38, "word": " حركة", "probability": 0.9523111979166666}, {"start": 2012.38, "end": 2012.8, "word": " ده", "probability": 0.921142578125}, {"start": 2012.8, "end": 2013.24, "word": " مقدار", "probability": 0.8776041666666666}, {"start": 2013.24, "end": 2013.62, "word": " اتنين", "probability": 0.9847412109375}, {"start": 2013.62, "end": 2016.36, "word": " طيب", "probability": 0.9529622395833334}, {"start": 2016.36, "end": 2016.8, "word": " هذا", "probability": 0.5908203125}, {"start": 2016.8, "end": 2017.2, "word": " الكلام", "probability": 0.8182779947916666}, {"start": 2017.2, "end": 2018.1, "word": " كويس", "probability": 0.9837239583333334}, {"start": 2018.1, "end": 2018.88, "word": " عالم", "probability": 0.37481689453125}, {"start": 2018.88, "end": 2019.46, "word": " انه", "probability": 0.731201171875}], "temperature": 1.0}, {"id": 77, "seek": 204942, "start": 2022.32, "end": 2049.42, "text": "الفرق هذا أكبر من Zero إذا صار Zero أو دخل في السالب كيف بدي أعمل Shift بمقدار Zero أو سالب؟ بعملش فبروح بعمل Shift بـRoot Force Shift بمقدار واحد فقط Provided أن القيمة هذه أكبر من Zero", "tokens": [6027, 5172, 2288, 4587, 23758, 5551, 4117, 26890, 9154, 17182, 11933, 15730, 20328, 9640, 17182, 34051, 11778, 9778, 1211, 8978, 21136, 6027, 3555, 9122, 33911, 4724, 16254, 5551, 25957, 1211, 28304, 4724, 2304, 28543, 9640, 17182, 34051, 8608, 6027, 3555, 22807, 4724, 25957, 1211, 8592, 6156, 26890, 2407, 5016, 4724, 25957, 1211, 28304, 4724, 39184, 49, 6259, 10580, 28304, 4724, 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موجود زي ما هو هذا كاش ك suffix هو الحرفين هدول مع بعض نفسهم موجودين مش اولى انه انتقل عليهم على طول مباشرة okay فانا عندي هذا جدول ايش بسجل بسجل اذا والله المطابقة حاليا جاية على بس حرف واحد", "tokens": [9566, 1829, 3555, 23758, 13672, 1829, 41850, 23032, 16758, 38149, 3224, 11331, 49975, 6024, 48506, 24637, 23032, 3555, 3615, 995, 45164, 16472, 3224, 1217, 3714, 29245, 23328, 30767, 1829, 19446, 31439, 23758, 9122, 33599, 9122, 3889, 970, 31439, 21542, 28480, 9957, 8032, 3215, 12610, 20449, 45030, 11242, 8717, 36178, 16095, 3714, 29245, 23328, 9957, 37893, 1975, 12610, 7578, 16472, 3224, 16472, 2655, 4587, 1211, 25894, 16095, 15844, 23032, 12610, 3714, 3555, 33599, 25720, 1392, 6156, 7649, 995, 18871, 16254, 23758, 10874, 3215, 12610, 1975, 1829, 8592, 4724, 3794, 7435, 1211, 4724, 3794, 7435, 1211, 1975, 15730, 16070, 43761, 9673, 9566, 16758, 28671, 11331, 6027, 25528, 10874, 995, 10632, 15844, 4724, 3794, 11331, 28480, 36764, 24401], "avg_logprob": -0.17551185370519243, 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هذا", "probability": 0.58935546875}, {"start": 2342.58, "end": 2342.64, "word": " ..", "probability": 0.63232421875}, {"start": 2342.64, "end": 2342.92, "word": " هذا", "probability": 0.7734375}, {"start": 2342.92, "end": 2344.1, "word": " التلاتة", "probability": 0.932861328125}, {"start": 2344.1, "end": 2344.42, "word": " و", "probability": 0.47802734375}, {"start": 2344.42, "end": 2344.56, "word": " هنا", "probability": 0.890625}, {"start": 2344.56, "end": 2345.18, "word": " الأربعة", "probability": 0.93310546875}, {"start": 2345.18, "end": 2345.4, "word": " و", "probability": 0.869140625}, {"start": 2345.4, "end": 2345.66, "word": " هنا", "probability": 0.9365234375}, {"start": 2345.66, "end": 2346.42, "word": " الخمسة", "probability": 0.9697265625}, {"start": 2346.42, "end": 2347.2, "word": " هدولة", "probability": 0.905029296875}, {"start": 2347.2, "end": 2347.82, "word": " اللي", "probability": 0.97705078125}, {"start": 2347.82, "end": 2348.16, "word": " موجود", "probability": 0.9920247395833334}, {"start": 2348.16, "end": 2348.54, "word": " منهم", "probability": 0.99072265625}, {"start": 2348.54, "end": 2348.96, "word": " بس", "probability": 0.977783203125}, {"start": 2348.96, "end": 2349.42, "word": " مقدار", "probability": 0.9005533854166666}, {"start": 2349.42, "end": 2349.78, "word": " هذا", "probability": 0.91259765625}, {"start": 2349.78, "end": 2351.54, "word": " فوجدها", "probability": 0.8992919921875}, {"start": 2351.54, "end": 2352.52, "word": " بانتقل", "probability": 0.92314453125}, {"start": 2352.52, "end": 2353.1, "word": " اليه", "probability": 0.7763671875}, {"start": 2353.1, "end": 2353.5, "word": " عشان", "probability": 0.9459635416666666}, {"start": 2353.5, "end": 2353.68, "word": " هيك", "probability": 0.939453125}, {"start": 2353.68, "end": 2354.08, "word": " أربعة", "probability": 0.919921875}, {"start": 2354.08, "end": 2354.52, "word": " أربعة", "probability": 0.8494466145833334}, {"start": 2354.52, "end": 2356.36, "word": " بانتقل", "probability": 0.8701171875}], "temperature": 1.0}, {"id": 89, "seek": 236550, "start": 2356.86, "end": 2365.5, "text": "بشيفت بحيث انها TGL فواضح فهذه ال distance التانية بتساوي ايش؟", "tokens": [3555, 8592, 1829, 5172, 2655, 4724, 5016, 1829, 12984, 16472, 11296, 314, 19440, 6156, 2407, 46958, 5016, 6156, 3224, 24192, 2423, 4560, 16712, 7649, 10632, 39894, 3794, 995, 45865, 1975, 1829, 8592, 22807], "avg_logprob": -0.3490349334828994, "compression_ratio": 1.0404040404040404, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2356.86, "end": 2357.38, "word": "بشيفت", "probability": 0.5211181640625}, {"start": 2357.38, "end": 2357.76, "word": " بحيث", "probability": 0.87646484375}, {"start": 2357.76, "end": 2358.12, "word": " انها", "probability": 0.6636962890625}, {"start": 2358.12, "end": 2359.26, "word": " TGL", "probability": 0.46929931640625}, {"start": 2359.26, "end": 2360.68, "word": " فواضح", "probability": 0.837890625}, {"start": 2360.68, "end": 2361.06, "word": " فهذه", "probability": 0.7742513020833334}, {"start": 2361.06, "end": 2361.18, "word": " ال", "probability": 0.9326171875}, {"start": 2361.18, "end": 2361.52, "word": " distance", "probability": 0.93408203125}, {"start": 2361.52, "end": 2362.58, "word": " التانية", "probability": 0.8933919270833334}, {"start": 2362.58, "end": 2364.76, "word": " بتساوي", "probability": 0.9493408203125}, {"start": 2364.76, "end": 2365.5, "word": " ايش؟", "probability": 0.8294677734375}], "temperature": 1.0}, {"id": 90, "seek": 238930, "start": 2365.92, "end": 2389.3, "text": "خلّي بالك ان هنا .. معلش في شغل صغير احنا ال D1 قلنا احنا اذا كان المقدار هذا سالب بقفز قفزة واحدة فهنا ال D1 بساوي maximum of يعني اذا هذا سالب احنا هيكون ال واحد اكبر منه فباخد ال واحد لان D2 هي عبارة عن اللي هي ال good suffix table", "tokens": [9778, 1211, 11703, 1829, 20666, 4117, 16472, 34105, 4386, 20449, 1211, 8592, 8978, 13412, 17082, 1211, 20328, 17082, 13546, 1975, 5016, 8315, 2423, 413, 16, 12174, 1211, 8315, 1975, 5016, 8315, 1975, 15730, 25961, 9673, 28543, 9640, 23758, 8608, 6027, 3555, 4724, 4587, 5172, 11622, 12174, 5172, 11622, 3660, 36764, 24401, 3660, 6156, 3224, 8315, 2423, 413, 16, 4724, 3794, 995, 45865, 6674, 295, 37495, 22653, 1975, 15730, 23758, 8608, 6027, 3555, 1975, 5016, 8315, 39896, 30544, 2423, 36764, 24401, 1975, 4117, 26890, 9154, 3224, 6156, 3555, 47283, 3215, 2423, 36764, 24401, 5296, 7649, 413, 17, 39896, 6225, 3555, 9640, 3660, 18871, 13672, 1829, 39896, 2423, 665, 3889, 970, 3199], "avg_logprob": -0.20988175595128858, "compression_ratio": 1.7264573991031391, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2365.92, "end": 2366.68, "word": "خلّي", "probability": 0.8890380859375}, {"start": 2366.68, "end": 2366.96, "word": " بالك", "probability": 0.957275390625}, {"start": 2366.96, "end": 2367.1, "word": " ان", "probability": 0.307861328125}, {"start": 2367.1, "end": 2367.52, "word": " هنا", "probability": 0.69384765625}, {"start": 2367.52, "end": 2367.64, "word": " ..", "probability": 0.339111328125}, {"start": 2367.64, "end": 2368.16, "word": " معلش", "probability": 0.6588541666666666}, {"start": 2368.16, "end": 2368.3, "word": " في", "probability": 0.6015625}, {"start": 2368.3, "end": 2368.58, "word": " شغل", "probability": 0.9488932291666666}, {"start": 2368.58, "end": 2368.94, "word": " صغير", "probability": 0.99658203125}, {"start": 2368.94, "end": 2369.18, "word": " احنا", "probability": 0.8624674479166666}, {"start": 2369.18, "end": 2369.36, "word": " ال", "probability": 0.87744140625}, {"start": 2369.36, "end": 2369.98, "word": " D1", "probability": 0.5860595703125}, {"start": 2369.98, "end": 2370.74, "word": " قلنا", "probability": 0.8157552083333334}, {"start": 2370.74, "end": 2371.04, "word": " احنا", "probability": 0.97998046875}, {"start": 2371.04, "end": 2371.38, "word": " اذا", "probability": 0.819580078125}, {"start": 2371.38, "end": 2371.82, "word": " كان", "probability": 0.9912109375}, {"start": 2371.82, "end": 2372.7, "word": " المقدار", "probability": 0.9274088541666666}, {"start": 2372.7, "end": 2372.96, "word": " هذا", "probability": 0.96337890625}, {"start": 2372.96, "end": 2373.52, "word": " سالب", "probability": 0.93115234375}, {"start": 2373.52, "end": 2375.3, "word": " بقفز", "probability": 0.8751220703125}, {"start": 2375.3, "end": 2375.64, "word": " قفزة", "probability": 0.95166015625}, {"start": 2375.64, "end": 2376.0, "word": " واحدة", "probability": 0.9881184895833334}, {"start": 2376.0, "end": 2376.44, "word": " فهنا", "probability": 0.9412434895833334}, {"start": 2376.44, "end": 2376.64, "word": " ال", "probability": 0.384033203125}, {"start": 2376.64, "end": 2377.02, "word": " D1", "probability": 0.954345703125}, {"start": 2377.02, "end": 2377.44, "word": " بساوي", "probability": 0.50335693359375}, {"start": 2377.44, "end": 2377.92, "word": " maximum", "probability": 0.47412109375}, {"start": 2377.92, "end": 2378.32, "word": " of", "probability": 0.96533203125}, {"start": 2378.32, "end": 2379.1, "word": " يعني", "probability": 0.883056640625}, {"start": 2379.1, "end": 2379.26, "word": " اذا", "probability": 0.891357421875}, {"start": 2379.26, "end": 2379.92, "word": " هذا", "probability": 0.71728515625}, {"start": 2379.92, "end": 2380.28, "word": " سالب", "probability": 0.9547526041666666}, {"start": 2380.28, "end": 2380.44, "word": " احنا", "probability": 0.89501953125}, {"start": 2380.44, "end": 2380.72, "word": " هيكون", "probability": 0.69970703125}, {"start": 2380.72, "end": 2380.78, "word": " ال", "probability": 0.9482421875}, {"start": 2380.78, "end": 2380.9, "word": " واحد", "probability": 0.755859375}, {"start": 2380.9, "end": 2381.22, "word": " اكبر", "probability": 0.9112955729166666}, {"start": 2381.22, "end": 2381.52, "word": " منه", "probability": 0.99072265625}, {"start": 2381.52, "end": 2381.9, "word": " فباخد", "probability": 0.9232177734375}, {"start": 2381.9, "end": 2382.0, "word": " ال", "probability": 0.93359375}, {"start": 2382.0, "end": 2382.22, "word": " واحد", "probability": 0.79345703125}, {"start": 2382.22, "end": 2382.94, "word": " لان", "probability": 0.562744140625}, {"start": 2382.94, "end": 2383.5, "word": " D2", "probability": 0.815673828125}, {"start": 2383.5, "end": 2383.8, "word": " هي", "probability": 0.94677734375}, {"start": 2383.8, "end": 2384.2, "word": " عبارة", "probability": 0.8389892578125}, {"start": 2384.2, "end": 2384.6, "word": " عن", "probability": 0.99609375}, {"start": 2384.6, "end": 2385.24, "word": " اللي", "probability": 0.776123046875}, {"start": 2385.24, "end": 2385.72, "word": " هي", "probability": 0.87890625}, {"start": 2385.72, "end": 2387.52, "word": " ال", "probability": 0.7080078125}, {"start": 2387.52, "end": 2387.72, "word": " good", "probability": 0.71923828125}, {"start": 2387.72, "end": 2389.06, "word": " suffix", "probability": 0.973388671875}, {"start": 2389.06, "end": 2389.3, "word": " table", "probability": 0.71728515625}], "temperature": 1.0}, {"id": 91, "seek": 241127, "start": 2396.59, "end": 2411.27, "text": "حضرة جاية بنطلع على ال algorithm كيف ال buyer more ال algorithm كيف عمليا و بنشوف ال example نشوف ال algorithm نشوف ال example", "tokens": [5016, 11242, 25720, 10874, 995, 10632, 44945, 9566, 1211, 3615, 15844, 2423, 9284, 9122, 33911, 2423, 24645, 544, 2423, 9284, 9122, 33911, 6225, 2304, 20292, 995, 4032, 44945, 8592, 38688, 2423, 1365, 8717, 8592, 38688, 2423, 9284, 8717, 8592, 38688, 2423, 1365], "avg_logprob": -0.3640988455262295, "compression_ratio": 1.5982142857142858, "no_speech_prob": 0.0, "words": [{"start": 2396.5899999999997, "end": 2397.43, "word": "حضرة", "probability": 0.5453287760416666}, {"start": 2397.43, "end": 2397.89, "word": " جاية", "probability": 0.71435546875}, {"start": 2397.89, "end": 2398.83, "word": " بنطلع", "probability": 0.77020263671875}, {"start": 2398.83, "end": 2399.11, "word": " على", "probability": 0.6552734375}, {"start": 2399.11, "end": 2399.35, "word": " ال", "probability": 0.708984375}, {"start": 2399.35, "end": 2399.77, "word": " algorithm", "probability": 0.6162109375}, {"start": 2399.77, "end": 2400.43, "word": " كيف", "probability": 0.9013671875}, {"start": 2400.43, "end": 2400.85, "word": " ال", "probability": 0.57275390625}, {"start": 2400.85, "end": 2402.59, "word": " buyer", "probability": 0.38671875}, {"start": 2402.59, "end": 2402.99, "word": " more", "probability": 0.87255859375}, {"start": 2402.99, "end": 2403.69, "word": " ال", "probability": 0.1876220703125}, {"start": 2403.69, "end": 2403.95, "word": " algorithm", "probability": 0.86474609375}, {"start": 2403.95, "end": 2404.25, "word": " كيف", "probability": 0.91455078125}, {"start": 2404.25, "end": 2404.85, "word": " عمليا", "probability": 0.8529052734375}, {"start": 2404.85, "end": 2406.89, "word": " و", "probability": 0.2357177734375}, {"start": 2406.89, "end": 2408.67, "word": " بنشوف", "probability": 0.8367513020833334}, {"start": 2408.67, "end": 2408.77, "word": " ال", "probability": 0.9287109375}, {"start": 2408.77, "end": 2409.21, "word": " example", "probability": 0.9248046875}, {"start": 2409.21, "end": 2410.15, "word": " نشوف", "probability": 0.7079264322916666}, {"start": 2410.15, "end": 2410.25, "word": " ال", "probability": 0.9814453125}, {"start": 2410.25, "end": 2410.55, "word": " algorithm", "probability": 0.9599609375}, {"start": 2410.55, "end": 2410.87, "word": " نشوف", "probability": 0.865234375}, {"start": 2410.87, "end": 2410.95, "word": " ال", "probability": 0.97607421875}, {"start": 2410.95, "end": 2411.27, "word": " example", "probability": 0.98046875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2413.1338125, "duration_after_vad": 2297.0893749999914}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ff3635801f4fc725ab0d70e6ccccf7a94f958699
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI.srt
@@ -0,0 +1,1439 @@
+
+1
+00:00:21,140 --> 00:00:23,380
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:23,380 --> 00:00:27,740
+المرسلين، اليوم إن شاء الله بدنا نكمل في
+
+3
+00:00:27,740 --> 00:00:33,160
+problem أخرى ينطبق عليها من نوع يعني اللي هو الـ
+
+4
+00:00:33,160 --> 00:00:37,720
+iterative improvement، كنا شفنا قبل هيك في section
+
+5
+00:00:37,720 --> 00:00:42,600
+عشرة واحد، الـ linear programming problem ومعالجتها
+
+6
+00:00:42,600 --> 00:00:46,960
+باستخدام الـ simplex method، وبعد ذلك طلعنا على الـ
+
+7
+00:00:46,960 --> 00:00:50,560
+Genetic Algorithm كنوع آخر من الـ iterative
+
+8
+00:00:50,560 --> 00:00:55,060
+improvement methods، اليوم إن شاء الله نطلع على
+
+9
+00:00:55,060 --> 00:00:59,820
+النوع الثالث اللي هو في عندنا مسألة الـ maximum
+
+10
+00:00:59,820 --> 00:01:03,860
+flow problem، ونشوف كيف بيتم معالجتها بالـ iterative
+
+11
+00:01:03,860 --> 00:01:08,360
+improvement، الـ maximum flow problem، خليني بس نوضح
+
+12
+00:01:08,360 --> 00:01:11,980
+إيش هي الـ maximum flow problem؟ بيكون في عندنا
+
+13
+00:01:11,980 --> 00:01:21,520
+network of nodes، هذي بيبقى إشي زي هيك الـ
+
+14
+00:01:21,520 --> 00:01:24,940
+vertices، طبعا اللي ده graph network، هذي عبارة عن
+
+15
+00:01:24,940 --> 00:01:31,960
+graph، الـ graph هذا directed graph، directed graph
+
+16
+00:01:31,960 --> 00:01:38,270
+يعني الـ edges تبعته labelled باتجاه محدد، هذا هو
+
+17
+00:01:38,270 --> 00:01:42,450
+يعني اللي هو directed graph، إضافة على هذا القَصْي
+
+18
+00:01:42,450 --> 00:01:48,290
+اللي هو أنه vertices وفيه edges، لازم تكون الـ
+
+19
+00:01:48,290 --> 00:01:56,030
+edges هذه عليها أوزان أو capacities، okay، هذه أول
+
+20
+00:01:56,030 --> 00:02:00,290
+إضافة، يعني بدون الأوزان لا يزال هو directed graph
+
+21
+00:02:00,290 --> 00:02:06,140
+بس احنا عشان نعتبره flow network، flow يعني تدفق،
+
+22
+00:02:06,140 --> 00:02:09,320
+flow network، لازم يكون لكل edge يكون إيش الـ
+
+23
+00:02:09,320 --> 00:02:13,180
+capacity تبعتها، هذا أول شرط، الشرط الثاني إنه
+
+24
+00:02:13,180 --> 00:02:16,620
+يكون في واحدة من الـ nodes اللي في الـ network هذه
+
+25
+00:02:16,620 --> 00:02:20,240
+أو في الـ graph هذا تبقى source، source بمعنى إنه
+
+26
+00:02:20,240 --> 00:02:24,180
+مش داخل عليها أي edges، وطالع عليها edges، طالع منها
+
+27
+00:02:24,180 --> 00:02:26,800
+edges، طالع منها edges ومش داخل عليها أي edges
+
+28
+00:02:27,550 --> 00:02:32,210
+واحدة أخرى تكون sink، sink يعني destination، يكون مش
+
+29
+00:02:32,210 --> 00:02:37,010
+طالع منها edges لكن داخل عليها edges، okay، فهذه
+
+30
+00:02:37,010 --> 00:02:40,930
+الثلاث نقاط الآن، أنه يكون أول شيء فيه أوزان،
+
+31
+00:02:40,930 --> 00:02:50,570
+الأوزان هذه لما نقول U<sub>IJ</sub> يعني مثلاً نقول U for
+
+32
+00:02:50,570 --> 00:02:57,540
+example، U<sub>12</sub> يساوي كده؟ يساوي 2، يعني الـ capacity
+
+33
+00:02:57,540 --> 00:03:02,060
+تبع الـ link من الـ node واحد إلى اثنين يساوي اثنين،
+
+34
+00:03:02,060 --> 00:03:03,440
+هذه الـ maximum capacity،
+
+35
+00:03:05,850 --> 00:03:11,310
+الآن، فأول شيء أن يكون الـ directed graph هذا فيه
+
+36
+00:03:11,310 --> 00:03:14,530
+عليه labeling بأوزانه، الأوزانة هي الـ capacities،
+
+37
+00:03:14,530 --> 00:03:17,770
+النقطة الثانية أن يكون في sink، والنقطة الثالثة أن
+
+38
+00:03:17,770 --> 00:03:21,530
+يكون في source، صح؟ طيب إيش الـ problem يعني؟ شو
+
+39
+00:03:21,530 --> 00:03:25,050
+المطلوب؟ المطلوب أنه بناءً على هذه الـ capacities، الـ
+
+40
+00:03:25,050 --> 00:03:27,670
+capacities هذه، إنت تخيلي أصلاً أن الـ network هذه
+
+41
+00:03:27,670 --> 00:03:32,530
+عبارة عن network لنقل material معين، يقول مثلاً هذه
+
+42
+00:03:32,530 --> 00:03:37,530
+قنوات ماء، بدي أتم ضخ الـ material اللي هنا هي المياه،
+
+43
+00:03:37,530 --> 00:03:43,690
+بدي أتم ضخ ماء من واحد، الهدف أنه يصل إلى ستة، الكل
+
+44
+00:03:43,690 --> 00:03:47,370
+قناة لها capacity، قول لي مثلاً الاثنين هذه معناته
+
+45
+00:03:47,370 --> 00:03:51,610
+أنه يمكن ضخ اثنين كوب، وثلاثة يعني ثلاثة كوب،
+
+46
+00:03:51,610 --> 00:03:56,260
+ما بنقدرش نضخ أكثر من هيك، الآن المطلوب طبعاً الهدف أن
+
+47
+00:03:56,260 --> 00:04:01,540
+يصل التدفق من الـ source إلى الـ sink، المطلوب أن نحسب
+
+48
+00:04:01,540 --> 00:04:08,280
+جداش أقصى كمية من هذه المادة، لأن المياه يمكن ضخها
+
+49
+00:04:08,280 --> 00:04:15,640
+من الـ source إلى الـ sink، الآن لو أنا عندي خلينا
+
+50
+00:04:15,640 --> 00:04:21,600
+نبص على الموضوع على نطاق أبسط، لو أنا بس عندي الـ
+
+51
+00:04:21,600 --> 00:04:26,460
+nodes هذه، واحد واثنين وثلاثة وستة، خلّيني
+
+52
+00:04:26,460 --> 00:04:29,700
+أسميها أربعة، ماشي ستة، okay؟
+
+53
+00:04:32,040 --> 00:04:36,180
+أنا ما عنديش غيرها، ما عنديش خط أنبيب واحد، ما عنديش
+
+54
+00:04:36,180 --> 00:04:40,440
+شبكة أنابيب، خط أنبيب واحد يتجول من هذه المجموعة من
+
+55
+00:04:40,440 --> 00:04:45,600
+القنوات، ومعروف إنه الـ capacity تبع القنوات هذه زي
+
+56
+00:04:45,600 --> 00:04:50,340
+هيك، واضح جداً إن الـ capacity تبع خط الأنبيب هذا هي
+
+57
+00:04:50,340 --> 00:04:54,020
+تساوي قداش؟ الـ total capacity تبع خط الأنبيب هذا
+
+58
+00:04:54,020 --> 00:05:00,780
+تساوي الـ capacity تبع أضعف قناة، صح ولا لا؟ ليه
+
+59
+00:05:00,780 --> 00:05:05,060
+الاثنين؟ يعني أنا بقدر أطلع من هنا... صح، بقدر أنجم
+
+60
+00:05:05,060 --> 00:05:08,900
+من اثنين إلى ثلاثة خمسة كوب، بس أصلاً أنا مش قادر أواصل
+
+61
+00:05:08,900 --> 00:05:13,100
+اثنين أكثر من اثنين كوب، okay؟ يبقى هما الاثنين
+
+62
+00:05:13,100 --> 00:05:15,240
+هدول اللي بيصلوا الاثنين، هم اللي هيطلعوا هنا، وهم
+
+63
+00:05:15,240 --> 00:05:19,200
+اللي هي... برضه كمان هييجوا هنا، okay؟ لو هذه الآن
+
+64
+00:05:19,200 --> 00:05:23,620
+أربعة، ما فرجتش ولا ثلاثة ولا خمسة ولا ستة ما فرجتش
+
+65
+00:05:23,620 --> 00:05:28,830
+أنا عندي الـ bottleneck... آه، الـ bottleneck إنه هنا
+
+66
+00:05:28,830 --> 00:05:34,090
+لو هذه اتحسنت وصارت ثلاثة، وجدتها بقدر أضخ ثلاثة،
+
+67
+00:05:34,090 --> 00:05:39,930
+okay، المهم أنا لو عندي خط واحد أو مصار واحد فقط،
+
+68
+00:05:39,930 --> 00:05:45,050
+فالـ capacity تبعت هذا المصار ككل تساوي الـ
+
+69
+00:05:45,050 --> 00:05:48,530
+capacity تبعت أضعف قناة أو أضعف link، أنا الآن
+
+70
+00:05:48,530 --> 00:05:53,890
+ما عنديش مصار، عندي شبكة، والشبكة هذه تحتوي على عدة
+
+71
+00:05:53,890 --> 00:05:58,980
+مصارات، أنا ممكن هذه مصار، ممكن هاي مصار، وممكن هاي
+
+72
+00:05:58,980 --> 00:06:02,820
+مصار، وأنا ممكن أضخ على أكثر من مصار في آن واحد،
+
+73
+00:06:02,820 --> 00:06:08,140
+يعني ممكن واحد أضخ في هذا الاتجاه، وفي نفس الوقت
+
+74
+00:06:08,140 --> 00:06:12,900
+أضخ في هذا الاتجاه، في هذا الاتجاه، هيك الـ maximum
+
+75
+00:06:12,900 --> 00:06:19,000
+capacity قداش؟ لتحت
+
+76
+00:06:19,000 --> 00:06:25,040
+الـ maximum capacity، والـ link هذه one في هذا
+
+77
+00:06:25,040 --> 00:06:31,560
+الاتجاه، الـ maximum capacity اثنين، الـ total capacity
+
+78
+00:06:31,560 --> 00:06:36,100
+اللي هم الواحد والاثنين ثلاثة، اللي بتقدرش تضخ
+
+79
+00:06:36,100 --> 00:06:41,400
+أكثر من ثلاثة على هذا الأساس، صح؟ وطبعاً هو هذا في
+
+80
+00:06:41,400 --> 00:06:45,260
+الآخر هو هذا الـ maximum capacity لهذه الشبكة، أنه
+
+81
+00:06:45,260 --> 00:06:48,480
+تضخ واحد في هذا الاتجاه، وتضخ اثنين في هذا
+
+82
+00:06:48,480 --> 00:06:50,120
+الاتجاه، okay؟
+
+83
+00:06:56,630 --> 00:06:59,630
+يوجد total capacity قداش؟ ثلاثة، وهي هذا الـ maximum
+
+84
+00:06:59,630 --> 00:07:02,870
+المطلوب هو حساب قداش الـ maximum capacity اللي يمكن
+
+85
+00:07:02,870 --> 00:07:07,710
+ضخه من الـ source إلى الـ sink عبر شبكة من القنوات
+
+86
+00:07:07,710 --> 00:07:10,090
+والـ vertices طبعاً،
+
+87
+00:07:13,750 --> 00:07:18,950
+Okay، هذه الـ problem يمكن معالجتها، أول شيء بس قبل
+
+88
+00:07:18,950 --> 00:07:22,530
+معالجتها طبعاً هنشوف كيف نعالجها بالـ iterative
+
+89
+00:07:22,530 --> 00:07:27,450
+improvement method، بس في الأول بدنا أن نركز أو
+
+90
+00:07:27,450 --> 00:07:30,610
+ندقق على حاجة اسمها شوية constraints، الـ
+
+91
+00:07:30,610 --> 00:07:35,750
+constraints هنا flow conservation، طبعاً واضح جداً
+
+92
+00:07:35,750 --> 00:07:39,070
+أنه أنا... خلينا نرجع بس على الرسمة، واضح جداً أنه
+
+93
+00:07:39,070 --> 00:07:44,440
+أنا لما بدي أضخ من هنا ثلاثة ولا اثنين ولا أي كمية،
+
+94
+00:07:44,440 --> 00:07:49,180
+لازم هذه الكمية ما يتم تسريبها في الـ network اللي
+
+95
+00:07:49,180 --> 00:07:52,900
+بيجي الـ network، بتنز أو تحزق، اللي بيطلع من هنا
+
+96
+00:07:52,900 --> 00:07:57,220
+لازم يصل كله هنا، تمام، الـ algorithm بدأت تشتغل على
+
+97
+00:07:57,220 --> 00:08:01,760
+هذا الأساس، أنه إذا بدأت تقول أن واحد يضخ ثلاثة،
+
+98
+00:08:01,760 --> 00:08:07,290
+يبقى لازم توريني أن الثلاثة وصلوا لستة كاملين، ما تم
+
+99
+00:08:07,290 --> 00:08:10,770
+فقدهم بشكل، عبارة عن هذا، هذا global flow
+
+100
+00:08:10,770 --> 00:08:14,790
+conservation، يعني الـ flow conservation، الـ
+
+101
+00:08:14,790 --> 00:08:19,790
+conservation يعني إيش؟ يعني أن الـ material بتظل
+
+102
+00:08:19,790 --> 00:08:27,330
+هزمتها، هي ما يتم فقدها، هذا أول شرط، ثاني شيء أنه برضه
+
+103
+00:08:27,330 --> 00:08:31,990
+من المنطقي أن أي node، أي vertex، إذا بيصله كمية،
+
+104
+00:08:31,990 --> 00:08:36,580
+لازم هي نفس الكمية اللي هي اللي بتطلع منه، ما يبقى
+
+105
+00:08:36,580 --> 00:08:40,200
+فيه فرق ما بين اللي داخل عليه واللي خارج منه،
+
+106
+00:08:40,200 --> 00:08:45,360
+okay؟ بالإضافة إلى أنه طبعاً كل المقادير هذه لازم تبقى موجبة،
+
+107
+00:08:45,360 --> 00:08:48,780
+ما ينفعش نضخ إحنا بالسالب، نشفط شفط بدل ما
+
+108
+00:08:48,780 --> 00:08:55,160
+نضخ، تمام؟ فأهم شغلة أخرى مهمة، اللي هي أنه أنا لا
+
+109
+00:08:55,160 --> 00:08:59,060
+أستطيع أن أنا أتجاوز الـ capacity تبع الـ link، إذا
+
+110
+00:08:59,060 --> 00:09:03,480
+القناة هذه اثنين، لا يصح للـ Algorithm أن تقول ضخ
+
+111
+00:09:03,480 --> 00:09:08,100
+ثلاثة على هذا الاتجاه، okay؟ فهذه الـ constraints،
+
+112
+00:09:08,100 --> 00:09:14,040
+الـ constraints الأولاني اللي هو الـ vertex in out
+
+113
+00:09:14,040 --> 00:09:21,500
+flow conservation، بيقول إن كل اللي بيطلع من أي
+
+114
+00:09:21,500 --> 00:09:28,060
+node، okay؟ أو كل اللي بده يدخل على الـ node لازم
+
+115
+00:09:28,060 --> 00:09:34,380
+يساوي كل اللي بيطلع منها، الـ source to sink flow
+
+116
+00:09:34,380 --> 00:09:38,960
+conservation، أنه كل اللي بده يطلع من one لازم
+
+117
+00:09:38,960 --> 00:09:44,190
+يساوي كل اللي بيصل إلى N، N هي الأخيرة، الـ sink، والـ
+
+118
+00:09:44,190 --> 00:09:49,490
+capacity، أنه لا يجب أن الـ output اللي طالع من الـ
+
+119
+00:09:49,490 --> 00:09:53,370
+node على الـ link يتجاوز الـ capacity، وطبعاً لازم ما
+
+120
+00:09:53,370 --> 00:09:58,410
+يكون أقل من zero، هدول الـ two constraints مع بعض،
+
+121
+00:09:58,410 --> 00:10:01,890
+أنه يكون موجب وما يزيدش عن الـ capacity تبع الـ link،
+
+122
+00:10:01,890 --> 00:10:06,410
+واضح الـ notation هذه، لما أنا بقول U<sub>IJ</sub> يعني الـ
+
+123
+00:10:06,410 --> 00:10:10,190
+capacity تبع الـ link الواصلة من I إلى J، ولما أقول
+
+124
+00:10:10,190 --> 00:10:17,930
+X<sub>IJ</sub> أقصد بها ما تم استخدامه من هذه الـ
+
+125
+00:10:17,930 --> 00:10:21,690
+capacity، الـ output اللي فعلاً طلع على هذا الـ
+
+126
+00:10:21,690 --> 00:10:23,470
+link من I إلى J،
+
+127
+00:10:26,520 --> 00:10:35,360
+وطبعاً ممكن آجي أرمز إلى الباقي بـ R<sub>IJ</sub> يساوي U<sub>IJ</sub>
+
+128
+00:10:35,360 --> 00:10:40,860
+ناقص X<sub>IJ</sub>، شو معناته الـ R هذه؟ R يعني residual،
+
+129
+00:10:40,860 --> 00:10:45,420
+residual يعني الباقي، الباقي هو اللي ضايل
+
+130
+00:10:45,420 --> 00:10:53,030
+في الـ link، حتى الآن كيف يعني؟ هناخد الرسم هذا، أنا
+
+131
+00:10:53,030 --> 00:11:00,810
+الآن عندي نفس الـ network اللي عرضناها، نفس
+
+132
+00:11:00,810 --> 00:11:07,370
+الـ capacities، لو أنا جيت، إيش اللي سويته؟ قلت أنه
+
+133
+00:11:07,370 --> 00:11:10,870
+الآن، في هذه اللحظة أنا مش هضخ إشي، فأنا الـ
+
+134
+00:11:10,870 --> 00:11:14,230
+link هذه، كل الـ links، أنا مش مستخدم منهم إشي، هذا الـ
+
+135
+00:11:14,230 --> 00:11:19,520
+zero، الـ zero زي هذا هي الـ X، على اليوم، حتى الآن إحنا
+
+136
+00:11:19,520 --> 00:11:26,000
+لأن مش مستخدمين، الـ algorithm هتيجي تكتشف مصار، و
+
+137
+00:11:26,000 --> 00:11:29,960
+لما تكتشفه، هتستخدم القنوات اللي فيه، وبالتالي الآن
+
+138
+00:11:29,960 --> 00:11:36,130
+الـ zeros هي اللي بتتغير، يعني مثلاً بداية الـ zeros
+
+139
+00:11:36,130 --> 00:11:39,450
+بتعبر عن قداش تم استخدامه، في شيء ما، ما استخدمش أي
+
+140
+00:11:39,450 --> 00:11:44,330
+شيء، zero، وهذا هنا مبدأ اللي هو الـ iterative
+
+141
+00:11:44,330 --> 00:11:47,410
+improvement، أنه أنا ببدأ أقول أنه ما تم... ما... ما
+
+142
+00:11:47,410 --> 00:11:51,230
+سوف يكون مقدار الضغط في البداية zero، بعدين ببدأ
+
+143
+00:11:51,230 --> 00:11:55,130
+نبحث عن مسارات اللي تزود الـ zero، يادر إلى أي كمية،
+
+144
+00:11:55,130 --> 00:11:58,930
+ثم مسار آخر يزود ليه إلى أي كمية... مسار... لما
+
+145
+00:11:58,930 --> 00:12:03,570
+بطل أقدر ألاقي مسارات تزود كمية الـ total الضغط
+
+146
+00:12:03,570 --> 00:12:09,040
+الإجمالي، بأوقف، بأعتبر أنه الكمية اللي وصلت إليها هي
+
+147
+00:12:09,040 --> 00:12:13,520
+الـ maximum، فأنا الآن عندي... ها... ها... ببدأ أرمز
+
+148
+00:12:13,520 --> 00:12:23,300
+إلى الـ total... ها... total flow أو current total
+
+149
+00:12:23,300 --> 00:12:28,540
+flow، V، V مبدئية مساوية zero، ببدأ أبحث عن مصار، لجهة
+
+150
+00:12:28,540 --> 00:12:32,500
+هذا المصار اللي كنا بنحكي عنه، اللي هو الـ capacity
+
+151
+00:12:32,500 --> 00:12:37,390
+تبعته قداش؟ اثنين، لأن عندي هذه اثنين، وهذه خمسة، وهذه
+
+152
+00:12:37,390 --> 00:12:41,590
+اثنين، يبقى أنا محكوم بالاثنين، هذا الآن الـ capacity
+
+153
+00:12:41,590 --> 00:12:44,310
+تبعت هذا المصار، هذا المصار واحد إلى اثنين، اثنين
+
+154
+00:12:44,310 --> 00:12:47,870
+إلى ثلاثة، ثلاثة إلى ستة، okay، هذا المصار الـ
+
+155
+00:12:47,870 --> 00:12:52,550
+capacity تبعتة تساوي اثنين، يبقى الآن الـ V ببدأ يساوي
+
+156
+00:12:52,550 --> 00:12:59,290
+V زائد اثنين، صح، okay، وإيش ببدأ أسوي؟ ببدأ أعمل
+
+157
+00:12:59,290 --> 00:13:04,790
+labeling، بدي أعمل labeling للـ links أو للقنوات،
+
+158
+00:13:04,790 --> 00:13:10,090
+بأحدد قداش أنا استخدمت من كل قناة، هذه الآن بصير
+
+159
+00:13:10,090 --> 00:13:13,350
+اثنين، وهذه بصير اثنين، وهذه بصير اثنين، اللي هي الـ
+
+160
+00:13:13,350 --> 00:13:17,330
+capacity تبعت الـ minimum، يبقى أنا الآن هنا R ضايل
+
+161
+00:13:17,330 --> 00:13:23,370
+ثلاثة، R هنا قداش؟ zero، مش ضايل حاجة، أنا استنفذت
+
+162
+00:13:23,370 --> 00:13:27,380
+طاقة القناة كلها، وهنا كذلك الحال، إنما هذه القناة
+
+163
+00:13:27,380 --> 00:13:32,080
+ضايل أضخ، بس عملياً أنا هل بقدر أنا أطلق أي إشي لأن
+
+164
+00:13:32,080 --> 00:13:35,660
+من اثنين إلى ثلاثة؟ استحالة، لأن اللي واصل إلى
+
+165
+00:13:35,660 --> 00:13:41,320
+اثنين أصلاً واصل لحد الأقصى، فأنا عبر الـ link هذه
+
+166
+00:13:41,320 --> 00:13:46,560
+مش هكون قادر on another، okay، فالفكرة باختصار أن
+
+167
+00:13:46,560 --> 00:13:51,600
+أول شيء أنا ببدأ بالـ zero، بأبحث عن، طالما أنه في
+
+168
+00:13:51,600 --> 00:13:57,300
+مسارات يمكن استخدامها تصل ما بين الـ source إلى الـ
+
+169
+00:13:57,300 --> 00:14:05,600
+sink، بأخد مسار وبستخدم القنوات تبعته، ثم بأبحث عن
+
+170
+00:14:05,600 --> 00:14:11,600
+مسارات أخرى، إلى أن يصير إمتى؟ بأوقف إمتى؟ بأوقف لما أجي
+
+171
+00:14:11,600 --> 00:14:18,920
+ألاقي مسارات، لما أجي ألاقي كل المسارات full، يعني مثلاً
+
+172
+00:14:18,920 --> 00:14:23,200
+هذا المسار، الآن، هذا الـ link full، وهذا الـ link
+
+173
+00:14:23,200 --> 00:14:28,920
+full، خلاص ما ب
+
+223
+00:18:38,790 --> 00:18:42,010
+الـ Capacity للـ Edge الـ Capacity للـ Edge الـ
+
+224
+00:18:42,010 --> 00:18:46,610
+Forward تساوي جدّيش هي الـ Total Capacity تبعها
+
+225
+00:18:46,610 --> 00:18:53,950
+ناقص اللي مشغول منها يعني هادي جدّيش الـ Capacity
+
+226
+00:18:53,950 --> 00:19:00,130
+تبعها تلاتة ناقص صفر يساوي تلاتة ها بتعبّر عنه
+
+227
+00:19:00,130 --> 00:19:07,590
+كالتالي مش هينقولنا RR 1 إلى 4 يساوي الـ Capacity
+
+228
+00:19:07,590 --> 00:19:15,490
+الـ Total تلاتة ناقص صفر يساوي تلاتة صحيح؟ من
+
+229
+00:19:15,490 --> 00:19:22,230
+أربعة إلى تلاتة R أربعة إلى تلاتة الـ Total واحد
+
+230
+00:19:22,230 --> 00:19:30,110
+ناقص صفر يساوي واحد من R من تلاتة إلى اتنين من
+
+231
+00:19:30,110 --> 00:19:32,610
+اتنين
+
+232
+00:19:33,450 --> 00:19:42,350
+إلى خمسة تلاتة ناقص صفر يساوي تلاتة من R من خمسة
+
+233
+00:19:42,350 --> 00:19:47,950
+إلى ستة يساوي أربعة ناقص صفر يساوي أربعة لأن هذا
+
+234
+00:19:47,950 --> 00:19:53,810
+ايش أساوي فيها؟ في كلهم الـ capacity الحالية تساوي
+
+235
+00:19:53,810 --> 00:19:58,210
+الـ total capacity ناقص المشغول حاليا لكن هذه الـ
+
+236
+00:19:58,210 --> 00:20:01,270
+capacity الحالية هي المشغول حاليا
+
+237
+00:20:04,490 --> 00:20:08,890
+ما يساوي اتنين تمام؟ الآن من هذه المقادير أنا بدأ
+
+238
+00:20:08,890 --> 00:20:12,950
+آخذ الـ minimum  وأعتبر main .. أعتبر أن المسار تبعي
+
+239
+00:20:12,950 --> 00:20:17,730
+هذا الـ full capacity تبعته هي الـ minimum في هدولة
+
+240
+00:20:17,730 --> 00:20:23,150
+صح؟ اللي هي واحد طيب
+
+241
+00:20:23,150 --> 00:20:31,150
+okay الآن أنا بدأ آخذ المسار هذا يعني ايش بدأ
+
+242
+00:20:31,150 --> 00:20:34,930
+آخذه؟ يعني بدأ أضخ عليه أضخ عليه بمقدار جدّيش مقدار
+
+243
+00:20:34,930 --> 00:20:38,390
+الـ capacity تبعته اللي هو الواحد يعني الآن كل
+
+244
+00:20:38,390 --> 00:20:43,930
+واحدة من الـ links الآن ايش؟ بدأ أخصم منها واحد هذه
+
+245
+00:20:43,930 --> 00:20:49,990
+الآن بيصير واحدة على تلاتة واحدة على واحد واحدة
+
+246
+00:20:49,990 --> 00:20:55,430
+على تلاتة واحدة على أربعة هذا ايش أسوي؟
+
+247
+00:20:55,430 --> 00:21:00,530
+بدأ أخصم منها واحد مش بدي أضيف لها واحد هذا أنا
+
+248
+00:21:00,530 --> 00:21:05,980
+بضيف  صفر ضفت عليها واحد هذه بدأ أخصم منها
+
+249
+00:21:05,980 --> 00:21:12,440
+واحد تصير واحد تمام؟ صح ولا لأ؟ لأنها backward
+
+250
+00:21:12,440 --> 00:21:21,900
+link يعني بصفة عامة الـ X prime من أي link بتساوي
+
+251
+00:21:21,900 --> 00:21:30,740
+الـ X القديمة زائد الـ capacity تبع الـ path هذا إذا
+
+252
+00:21:33,180 --> 00:21:41,020
+Forward ولكن إذا Backward إذا الـ link هذه IJ
+
+253
+00:21:41,020 --> 00:21:52,900
+Backward نقول X لا بدّأ أخصم X IJ ناقص الـ path
+
+254
+00:21:52,900 --> 00:21:56,900
+capacity خلّيني
+
+255
+00:21:56,900 --> 00:22:00,640
+أعكسها الـ capacity تبعت الـ path الـ capacity تبعت
+
+256
+00:22:00,640 --> 00:22:07,420
+الـ path واضح؟ أنا هنا الواحد هو ما رح أحصل طرح الـ X
+
+257
+00:22:07,420 --> 00:22:12,280
+الحقيقية أنا ما أقدر اللي هي الاتنين ناقص واحد اللي
+
+258
+00:22:12,280 --> 00:22:15,400
+هي الـ capacity بتاع الـ path صح فالـ capacity
+
+259
+00:22:15,400 --> 00:22:21,320
+الجديدة الواحد هذا يعني ما رح أحصل طرح الـ Xij
+
+260
+00:22:21,320 --> 00:22:27,500
+ناقص منه الـ Xij هي الـ Xij اللي نعم اللي كانت
+
+261
+00:22:27,500 --> 00:22:35,370
+الاثنين okay خلاص الآن أنا ماشي على نفس الأسلوب
+
+262
+00:22:35,370 --> 00:22:38,970
+سواء كان المسار يحتوي على Backward ولا لا يحتوي
+
+263
+00:22:38,970 --> 00:22:43,750
+على Backward أنا بدأت من الـ zero و روحت دورت على
+
+264
+00:22:43,750 --> 00:22:49,510
+flow augmenting path طلع معايا هذا أخدته شوفت جدّيش
+
+265
+00:22:49,510 --> 00:22:54,690
+الـ capacity تبعته اتنين اللي هي أضعف حلقاته و روحت
+
+266
+00:22:54,690 --> 00:22:59,740
+ايش غيرت الـ labels تمام؟ الآن روحت ابحث عن واحد
+
+267
+00:22:59,740 --> 00:23:04,640
+ثاني لجيت هذا هو البحث التام في الـ .. in the
+
+268
+00:23:04,640 --> 00:23:10,120
+undirected version of the graph لجيت هذا هذا الآن
+
+269
+00:23:10,120 --> 00:23:15,620
+الـ capacity تبعته واحد روحت الآن غيرت الـ edges و
+
+270
+00:23:15,620 --> 00:23:21,500
+تعاملت مع الـ Backward بما يناسبها الآن الـ total
+
+271
+00:23:21,500 --> 00:23:26,600
+صار أن يساوي جدّيش؟ تلاتة بدي أكمل بدي أبحث عن more
+
+272
+00:23:26,600 --> 00:23:31,460
+هخلّي بالك هي المسارات هي الأرقام اللي احنا حاطناها
+
+273
+00:23:31,460 --> 00:23:37,440
+بالأزرق هيأتينا في الرسم هذه sorry
+
+274
+00:23:37,440 --> 00:23:41,880
+لسه بس أول شي هي المسار واحد إلى أربعة تلاتة أربعة
+
+275
+00:23:41,880 --> 00:23:47,000
+إلى تلاتة اتنين okay الآن هيأتّي عدّل الـ labels تبع
+
+276
+00:23:47,000 --> 00:23:50,420
+الـ edges من عن على الكلام اللي هنا الآن بدي أبحث
+
+277
+00:23:50,420 --> 00:23:55,690
+عن مسار آخر هالحين خلّي بالك أن هذا المسار full هذا
+
+278
+00:23:55,690 --> 00:24:00,570
+المسار full، مين كمان full؟ هذا full، تمام؟ الآن
+
+279
+00:24:00,570 --> 00:24:05,170
+أنا هيك، ما أقدرش أمشي، لأن القناة دي full ما أقدر
+
+280
+00:24:05,170 --> 00:24:09,190
+أمشي لكن بعد ما أصل أنا بلاقي هذا full طيب أنا أصل
+
+281
+00:24:09,190 --> 00:24:14,410
+هدولة هم المخرجين تبعوني المنفذين تبعوني واحد و
+
+282
+00:24:14,410 --> 00:24:17,370
+هذا مسكر من أول و هذا مسكر بعد ثاني لينكي بجانبه
+
+283
+00:24:17,370 --> 00:24:22,570
+مافيش any more flow augmenting path تيجي في الـ
+
+284
+00:24:22,570 --> 00:24:27,550
+algorithm و الـ total اللي معايا هو تلاتة و هو هذا
+
+285
+00:24:27,550 --> 00:24:32,710
+أقصى ما يمكن أضخه هتلاقي أن التلاتة هذه اتنين منهم
+
+286
+00:24:32,710 --> 00:24:38,530
+ده طالع عبر هذا الـ link ولما يصل الاثنين واحد منهم
+
+287
+00:24:38,530 --> 00:24:41,310
+هيروح في هذا الاتجاه و واحد منهم هيروح في هذا
+
+288
+00:24:41,310 --> 00:24:47,890
+الاتجاه الواحد
+
+289
+00:24:47,890 --> 00:24:52,090
+هيروح في هذا الاتجاه ويمشي هك الآن التلاتة هيصلها
+
+290
+00:24:52,090 --> 00:24:56,050
+واحد من هنا و واحد من هنا هتجمع فيها اثنين هتدخل
+
+291
+00:24:56,050 --> 00:25:01,590
+اثنين كلهم هذه اتجمع عندها اثنين ضخت واحد هك واحد
+
+292
+00:25:01,590 --> 00:25:08,100
+هك الآن هذه اتجمع عندها واحد ضختها اللي وصل إلى 6 هم
+
+293
+00:25:08,100 --> 00:25:13,680
+الواحد والاثنين هم نفس الكمية الـ total اللي طلعت
+
+294
+00:25:13,680 --> 00:25:18,440
+من الـ source الآن الـ algorithm هذه أسلوبها بسيط
+
+295
+00:25:18,440 --> 00:25:23,960
+جدا أنه finding الـ flow augmenting path يعني أول
+
+296
+00:25:23,960 --> 00:25:28,160
+شيء يعني بقدر أنا أرخصها بـ while loop صغيرة وأجهز
+
+297
+00:25:28,160 --> 00:25:28,880
+أقول while
+
+298
+00:25:57,220 --> 00:26:00,900
+عندما يكون هناك المزيد من الطرق الموفقة، اختار
+
+299
+00:26:00,900 --> 00:26:03,100
+الطريق A
+
+300
+00:26:25,560 --> 00:26:33,340
+خلاص بس طالب أنه في المزيد من المسارات نأخذ واحد
+
+301
+00:26:33,340 --> 00:26:39,660
+بنشوف جدّيش الـ capacity تبعه بناء على ايش أضعف حلقة
+
+302
+00:26:39,660 --> 00:26:44,620
+فيه أضعف قناة بنعمل update للـ network وبنكرر
+
+303
+00:26:44,620 --> 00:26:48,700
+لغاية ما هذا الشرط ينتفي مافيش no more path خلاص
+
+304
+00:26:48,700 --> 00:26:53,080
+بتكون
+
+305
+00:26:53,080 --> 00:26:57,830
+ايش اتجمعت عندنا؟ اتجمعت عندنا الـ edges اتحدّث عندي
+
+306
+00:26:57,830 --> 00:27:01,630
+في كل edge في الـ network أن عرف هستخدمها ولا مش
+
+307
+00:27:01,630 --> 00:27:05,050
+هستخدمها وإذا هستخدمها جدّيش هستخدم منها هذا
+
+308
+00:27:05,050 --> 00:27:11,010
+هأستخدمها كلها هذا هأستخدمها بس بقرار واحد فقط صح؟
+
+309
+00:27:11,010 --> 00:27:14,030
+وبالتالي بيكون عرفنا الـ maximum الـ maximum هو
+
+310
+00:27:14,030 --> 00:27:18,610
+عبارة عن total الـ output اللي طالع من الـ source
+
+311
+00:27:18,610 --> 00:27:22,830
+اللي هو نفسه الـ total input اللي داخل على الـ sink
+
+312
+00:27:23,620 --> 00:27:27,640
+فعرفنا الـ V اللي هو الـ Total وهدفنا أيضًا كمان
+
+313
+00:27:27,640 --> 00:27:34,420
+الاضاءة أنا هنا مش قاعد بأدور على path ولا
+
+314
+00:27:34,420 --> 00:27:37,980
+shortest ولا أنا قاعد بدور على مجموعة الـ edges
+
+315
+00:27:37,980 --> 00:27:43,000
+اللي هتستخدم وجدّيش هنستخدم من كل واحدة منهم في
+
+316
+00:27:43,000 --> 00:27:49,060
+نهاية الـ output تبع الخوارزمية هيكون labeling للـ
+
+317
+00:27:49,060 --> 00:27:57,500
+edges كل edge جدّيش اللي راح يستخدم جدّيش الـ
+
+318
+00:27:57,500 --> 00:27:59,820
+capacity اللي راح تستخدم من الـ capacity تبعتها
+
+319
+00:27:59,820 --> 00:28:04,480
+okay الآن في ملاحظة صغيرة على هذا الـ algorithm وهي
+
+320
+00:28:04,480 --> 00:28:10,500
+أنه احنا خذ عندك المثال هذا لو عندي أنا network
+
+321
+00:28:10,500 --> 00:28:17,500
+بسيطة جدا زي هذه أربعة vertices okay واحد،
+
+322
+00:28:17,500 --> 00:28:21,300
+اثنين، تلاتة، أربعة الـ Capital U يرمز إلى اللي هو
+
+323
+00:28:21,300 --> 00:28:26,160
+الـ Capacity نفترض أن الأربع edges هدولة هذه و هذه
+
+324
+00:28:26,160 --> 00:28:30,700
+و هذه لهم نفس الـ Capacity U و U بتساوي يقول مثلا
+
+325
+00:28:30,700 --> 00:28:35,500
+مئة okay؟ يعني هدولة الأربع edges الـ Capacity
+
+326
+00:28:35,500 --> 00:28:42,720
+تبعتهم مئة مئة، مئة، مئة، مئة، مئة، مئة، مئة، مئة،
+
+327
+00:28:42,720 --> 00:28:45,990
+مئة، مئة، مئة، مئة، مئة، مئة البداية احنا ايش؟ صفر
+
+328
+00:28:45,990 --> 00:28:53,290
+نبحث عن مسار أنا الآن على سريع لو بدي اشتغل الكلام
+
+329
+00:28:53,290 --> 00:28:59,170
+هذا مش الـ algorithm بروح بختار هذا المسار وبخلّي
+
+330
+00:28:59,170 --> 00:29:04,010
+مقدار الضخ الـ full capacity بما أن الـ capacity هنا
+
+331
+00:29:04,010 --> 00:29:09,840
+U وهنا U جدّيش الـ capacity تبع المسار كله U فبضخ
+
+332
+00:29:09,840 --> 00:29:14,580
+المئة كلها على هذا الاتجاه وأروح أبحث عن more
+
+333
+00:29:14,580 --> 00:29:20,160
+flow augmenting path بلاقي هذا برضه بروح بضخ
+
+334
+00:29:20,160 --> 00:29:24,910
+U الآن خلصت الـ algorithm في two iterations خلصت
+
+335
+00:29:24,910 --> 00:29:27,770
+لأن هذه الآن الـ link هتكون أصبحت full أنا
+
+336
+00:29:27,770 --> 00:29:30,750
+استخدمتها كلها وهذه كلها وهذه كلها ابقى هذه الـ
+
+337
+00:29:30,750 --> 00:29:34,470
+link مش هشوفها لأنه خلاص وأنا حققت الـ maximum اللي
+
+338
+00:29:34,470 --> 00:29:38,870
+هو two U يعني هنا طلع من هذه اثنين U وصله اثنين U
+
+339
+00:29:38,870 --> 00:29:43,550
+U من هنا و U من هنا صح؟ two U وفي ايش؟ في two
+
+340
+00:29:43,550 --> 00:29:44,630
+iterations فقط
+
+341
+00:29:47,360 --> 00:29:51,560
+بينما لو الـ Algorithm ما كانتش مفتحة عينها بهذا
+
+342
+00:29:51,560 --> 00:29:58,960
+الشكل راحت غلطت وآخذت المسار هذا في الأول ما أخذتش
+
+343
+00:29:58,960 --> 00:30:05,520
+المسار هذا المسار احنا قلنا select a path اتعرفوا
+
+344
+00:30:05,520 --> 00:30:09,940
+ايش كتبتوا أنتم؟ select a path يعني طالما أنه في
+
+345
+00:30:09,940 --> 00:30:12,820
+path select a path a path يعني أي واحد،  على الله
+
+346
+00:30:13,490 --> 00:30:17,730
+بدنا نشوف احنا الآن أي حاجة فهنا لو هي اختارت أي
+
+347
+00:30:17,730 --> 00:30:21,450
+حاجة ممكن تختار هذا طب هي جدّيش الـ capacity بتبقى
+
+348
+00:30:21,450 --> 00:30:26,370
+only one يعني مش هتضخ مئة مش هتختار مئة هتختار
+
+349
+00:30:26,370 --> 00:30:30,010
+واحد فهذا هتصير واحد من مئة وهنا واحد وهنا واحد من
+
+350
+00:30:30,010 --> 00:30:39,010
+مئة طبعا okay okay الآن ايش
+
+351
+00:30:39,010 --> 00:30:47,280
+بده يصير؟ بده يصير أنه تروح بعد هيك أي واحد من أخذته
+
+352
+00:30:47,280 --> 00:30:53,480
+واحد من واحد بعدين بقى تروح تيجي هنا تشوف هذا
+
+353
+00:30:53,480 --> 00:30:56,500
+المسار احنا قلنا احنا بنطلع على الـ undirected
+
+354
+00:30:56,500 --> 00:31:06,600
+graph okay هذه الآن عاش احنا
+
+355
+00:31:06,600 --> 00:31:12,000
+احنا خلاص هذه هيك هذه مع هذه وهذه مع هذه okay فهنا
+
+356
+00:31:12,000 --> 00:31:16,220
+هتلاقي المسار هذا وبعد هيك ايش هتلاقي؟ هتلاقي هذه
+
+357
+00:31:16,220 --> 00:31:23,240
+مسكرة هذه سُكرت وهذه سُكرت وهنا هتيجي okay ايش بس
+
+358
+00:31:23,240 --> 00:31:34,460
+و بدها تأخذ هذا المسار هيك لحظة شوية بدها تضغط
+
+359
+00:31:37,320 --> 00:31:45,760
+أول شيء تكتب path 1234 1234 بعدين okay is the
+
+360
+00:31:45,760 --> 00:31:55,940
+value of flow 2 okay طيب
+
+361
+00:31:55,940 --> 00:32:03,320
+خليني أتبع هنا شوي شوي هي هيك أخذت واحد صح؟ و
+
+362
+00:32:03,320 --> 00:32:06,960
+بعدين؟  دلوقت عندها المسار هي ده صح؟
+
+363
+00:32:12,600 --> 00:32:17,200
+مظبوط؟ ونفترض أن هذه المسارة بتاعها تشوف ايش
+
+364
+00:32:17,200 --> 00:32:26,820
+بتشوف؟ بتبص على الـ Undirected هاي
+
+365
+00:32:26,820 --> 00:32:34,740
+مشيت هيك واحد، اثنين، تلاتة، أربعة okay واحد على U
+
+366
+00:32:34,740 --> 00:32:43,700
+وهنا واحد على واحد وهنا ايش؟ واحد على U الآن افترض
+
+367
+00:32:43,700 --> 00:32:49,400
+أنه بيبدأ تمشي هيك بتقدر تمشي هيك ليش؟ هي بتقدر
+
+368
+00:32:49,400 --> 00:32:55,000
+عمليا بتقدر تخصم من هذه بتقدر تخصم من هذه صح؟
+
+369
+00:32:55,000 --> 00:32:58,340
+بمعنى ايش؟ بتروح تسوي؟ بتروح تخلي هذه تصبح صفر
+
+370
+00:32:58,340 --> 00:33:03,720
+وتعمل واحد هنا واحد على U تزيد هذه أنها صفر تصبح
+
+371
+00:33:03,720 --> 00:33:10,180
+واحد وهذه تنخصم وهنا تصبح واحد على U صح؟
+
+372
+00:33:13,050 --> 00:33:17,890
+مظبوط؟ وبتقدر تستمر بعد شوية بتلاقي هذا المسار
+
+373
+00:33:17,890 --> 00:33:22,710
+هذا الـ link لسه مش مأخذين غير واحد من المئة وهنا
+
+374
+00:33:22,710 --> 00:33:26,470
+هذا فاضي وهذا واحد من المئة فبنقدر نأخذ المسار
+
+375
+00:33:26,470 --> 00:33:30,950
+هذا مرة أخرى ويصير هذا اثنين وهذا واحد وهذا
+
+376
+00:33:30,950 --> 00:33:38,790
+اثنين مظبوط؟ وبعدين نرجع ثاني نرجع ثاني هيكنخصم
+
+377
+00:33:38,790 --> 00:33:44,190
+نزيد هذه اثنين ونخصم هذه واحد ونزيد هذه اثنين وتظل
+
+378
+00:33:44,190 --> 00:33:49,210
+تكتشف فيهم المسارات بالتنقيط ايش يعني بالتنقيط؟
+
+379
+00:33:49,210 --> 00:33:56,170
+يعني كل iteration تكتشف أنها تقدر تضخ مقدار واحد
+
+380
+00:33:56,170 --> 00:34:02,390
+في الآخر هتصل إلى مئة عالمية ومئة عالمية بالتدريج
+
+381
+00:34:02,390 --> 00:34:06,190
+ولكن يعني في الآخر هتطلع لي أنه
+
+382
+00:34:09,080 --> 00:34:21,140
+صفر على صفر U على U و U على U هتطلع لنفس الناتج ولكن
+
+383
+00:34:21,140 --> 00:34:26,720
+هتكتشف هذا الاستنتاج بالتدريج الممل اللي هو أنه
+
+384
+00:34:26,720 --> 00:34:30,640
+تمشي هيك وبعدين تمشي هيك وتخصم هذه وبعدين تمشي
+
+385
+00:34:30,640 --> 00:34:36,850
+ثاني واضح؟ هذا هيأخذ معها كم iteration ضعف الـ U
+
+386
+00:34:36,850 --> 00:34:40,950
+هتاخد two U iterations هذا worst case صح الـ best
+
+387
+00:34:40,950 --> 00:34:46,230
+case اللي واحنا عارفينها أنه تكتشف المسار هذا من أول
+
+388
+00:34:46,230 --> 00:34:48,710
+iteration والمسار هذا من الـ iteration الثاني
+
+389
+00:34:48,710 --> 00:34:52,710
+وبالتالي بتاخد two iterations والـ maximum flow هو
+
+390
+00:34:52,710 --> 00:34:59,110
+أيضا two U بينما هنا بهذه الطريقة تاخد two U
+
+391
+00:34:59,110 --> 00:35:04,350
+iterations 200 iterations عشان تكتشف أن الـ maximum
+
+392
+00:35:04,350 --> 00:35:09,910
+flow هو 200 okay فهنا هذه القضية اللي هي علاقة بالـ
+
+393
+00:35:09,910 --> 00:35:13,310
+efficiency تبع الـ algorithm أنه إذا الـ algorithm
+
+394
+00:35:13,310 --> 00:35:19,290
+ما كانتش عندها طريقة أنها تختار الـ path بشكل أكثر
+
+395
+00
+
+445
+00:39:20,430 --> 00:39:25,370
+يدل على مين القبل الأخيرة و القبل الأخيرة هلاج ال
+
+446
+00:39:25,370 --> 00:39:29,190
+label تبعها هيقول لي مين اللي جابلها يبقى المسار
+
+447
+00:39:29,190 --> 00:39:35,390
+صار عندي أو تسلسله وصار عندي ال capacity تبعته فال
+
+448
+00:39:35,390 --> 00:39:40,330
+algorithm دي بتعطيني ال shortest augmenting path
+
+449
+00:39:40,330 --> 00:39:46,130
+بيكون أقصر و بيكون يحتوي على اللي هو الكمية اللي
+
+450
+00:39:46,130 --> 00:39:52,640
+ممكن تدخل من خلاله. فانت الآن لما بدك تتعاملي مع
+
+451
+00:39:52,640 --> 00:39:58,480
+مثال ال flow maximization أو maximum flow problem
+
+452
+00:39:58,480 --> 00:40:03,700
+تقول اللي هيكون مطلوب منك اللي هو أنه بالنظر تختار
+
+453
+00:40:03,700 --> 00:40:10,120
+ال flow augmenting path، تختار ال path، okay؟ ولو
+
+454
+00:40:10,120 --> 00:40:14,340
+أخذت مثلاً path و كان فيه واحد ثاني أفضل منه مش
+
+455
+00:40:14,340 --> 00:40:21,300
+مشكلة، هتبقى عدد الخيارات المحدودة فيها، okay؟ طيب
+
+456
+00:40:21,300 --> 00:40:23,460
+احنا إيه كمان؟ نكون خلصنا المحاضرة الجاية إن شاء
+
+457
+00:40:23,460 --> 00:40:27,420
+الله. بنشوف section عشر تلاتة يوم السبت وإن
+
+458
+00:40:27,420 --> 00:40:28,080
+شاء الله بنخلص
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..9c6539740a01b3288bd221ad88b3243f64f098ab
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4408, "start": 21.14, "end": 44.08, "text": "بسم الله الرحمن الرحيم الصلاة والسلام على أشرف المرسلين اليوم احنا ان شاء الله بدنا نكمل في problem أخرى ينطبق عليها من نوع يعني اللي هو ال iterative improvement كنا شوفنا قبل هيك في section عشرة واحد ال linear programming problem ومعالجتها باستخدام ال simplex method", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 15844, 5551, 8592, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 1975, 5016, 8315, 16472, 13412, 16606, 21984, 47525, 8315, 8717, 24793, 1211, 8978, 1154, 5551, 34740, 7578, 7251, 1863, 9566, 3555, 4587, 25894, 11296, 9154, 8717, 45367, 37495, 22653, 13672, 1829, 31439, 2423, 17138, 1166, 10444, 9122, 8315, 13412, 38688, 8315, 12174, 36150, 39896, 4117, 8978, 3541, 6225, 8592, 25720, 36764, 24401, 2423, 8213, 9410, 1154, 4032, 2304, 3615, 6027, 7435, 2655, 11296, 4724, 995, 14851, 9778, 3215, 10943, 2423, 2199, 87, 3170], 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"seek": 62347, "start": 611.97, "end": 623.47, "text": "الـ IJ أقصد بيها ما تم استخدامه من هذه الـ capacity، الـ output اللي فعلاً طلع على هذا الـ link من I إلى J", "tokens": [6027, 39184, 286, 41, 5551, 4587, 9381, 3215, 4724, 1829, 11296, 19446, 46811, 44713, 9778, 3215, 10943, 3224, 9154, 29538, 2423, 39184, 6042, 12399, 2423, 39184, 5598, 13672, 1829, 6156, 3615, 15040, 14111, 23032, 1211, 3615, 15844, 23758, 2423, 39184, 2113, 9154, 286, 30731, 508], "avg_logprob": -0.32880433551643207, "compression_ratio": 1.255639097744361, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 611.97, "end": 612.19, "word": "الـ", "probability": 0.254638671875}, {"start": 612.19, "end": 612.73, "word": " IJ", "probability": 0.435791015625}, {"start": 612.73, "end": 613.41, "word": " أقصد", "probability": 0.81768798828125}, {"start": 613.41, "end": 613.71, "word": " بيها", "probability": 0.8982747395833334}, {"start": 613.71, "end": 615.15, "word": " ما", "probability": 0.453857421875}, 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{"start": 1346.32, "end": 1346.6, "word": " اللي", "probability": 0.9609375}, {"start": 1346.6, "end": 1346.9, "word": " نعم", "probability": 0.768310546875}, {"start": 1346.9, "end": 1347.16, "word": " اللي", "probability": 0.949462890625}, {"start": 1347.16, "end": 1347.5, "word": " كانت", "probability": 0.983154296875}, {"start": 1347.5, "end": 1347.88, "word": " الأتنين", "probability": 0.80963134765625}, {"start": 1347.88, "end": 1349.18, "word": " okay", "probability": 0.7060546875}], "temperature": 1.0}, {"id": 53, "seek": 137631, "start": 1350.35, "end": 1376.31, "text": "خلاص الان انا ماشي على نفس الأسلوب سواء كان المصار يحتوي على backward ولا لا يحتوي على backward انا بديت من ال zero و روحت دورت على flow augmenting path طلع معايا هذا أخدته شوفت جديش ال capacity تبعته اتنين اللي هي أضعف حلقاته و روحت ايش غيرت ال labels", "tokens": [9778, 1211, 33546, 2423, 7649, 1975, 8315, 3714, 33599, 1829, 15844, 8717, 36178, 16247, 3794, 1211, 37746, 8608, 2407, 16606, 25961, 9673, 9381, 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هو البحث التام في ال .. in the undirected version of the graph لجيت هذا هذا الان ال capacity تبعته واحد روحت الآن غيرت ال edges و اتعاملت مع ال backward بما يناسبها الان ال total صار ان يساوي جدنيش تلاتة", "tokens": [39237, 10943, 22807, 2423, 7649, 12602, 2407, 33753, 48127, 5016, 12984, 18871, 36764, 24401, 6055, 7649, 1829, 5296, 7435, 36081, 23758, 31439, 29739, 5016, 12984, 16712, 10943, 8978, 2423, 4386, 294, 264, 674, 11890, 292, 3037, 295, 264, 4295, 5296, 7435, 36081, 23758, 23758, 2423, 7649, 2423, 6042, 6055, 3555, 34268, 3224, 36764, 24401, 12602, 2407, 33753, 6024, 48506, 32771, 13546, 2655, 2423, 8819, 4032, 1975, 2655, 3615, 10943, 1211, 2655, 20449, 2423, 23897, 4724, 15042, 7251, 8315, 35457, 11296, 2423, 7649, 2423, 3217, 20328, 9640, 16472, 7251, 3794, 995, 45865, 10874, 3215, 22653, 8592, 6055, 1211, 9307, 3660], "avg_logprob": -0.24140625581145286, "compression_ratio": 1.6437768240343347, "no_speech_prob": 0.0, "words": [{"start": 1377.4, "end": 1378.2, "word": 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0.984375}, {"start": 1641.27, "end": 1641.61, "word": " داخل", "probability": 0.9537760416666666}, {"start": 1641.61, "end": 1641.91, "word": " على", "probability": 0.7958984375}, {"start": 1641.91, "end": 1642.31, "word": " ال", "probability": 0.9228515625}, {"start": 1642.31, "end": 1642.83, "word": " sink", "probability": 0.6904296875}], "temperature": 1.0}, {"id": 63, "seek": 166378, "start": 1643.62, "end": 1663.78, "text": "فعرفنا الـ V اللي هو الـ Total وهدفنا أيضًا كمان الاضاءة أنا هنا مش قاعد بأدور على path ولا shortest ولأ أنا قاعد بدور على مجموعة ال edges اللي هتستخدم وجدش هنستخدم من كل واحدة منهم في نهاية القمر", "tokens": [5172, 3615, 28480, 8315, 2423, 39184, 691, 13672, 1829, 31439, 2423, 39184, 23170, 37037, 3215, 5172, 8315, 36632, 11242, 14111, 995, 9122, 2304, 7649, 2423, 46958, 16606, 3660, 41850, 34105, 37893, 12174, 995, 22488, 4724, 10721, 3215, 13063, 15844, 3100, 49429, 31875, 35525, 10721, 41850, 12174, 995, 22488, 47525, 13063, 15844, 3714, 7435, 2304, 45367, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2828217a48080b48cd6bce496c8522c588154409
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/SxoMRK0KCCI_raw.srt
@@ -0,0 +1,1844 @@
+1
+00:00:21,140 --> 00:00:23,380
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:23,380 --> 00:00:27,740
+المرسلين اليوم احنا ان شاء الله بدنا نكمل في
+
+3
+00:00:27,740 --> 00:00:33,160
+problem أخرى ينطبق عليها من نوع يعني اللي هو ال
+
+4
+00:00:33,160 --> 00:00:37,720
+iterative improvement كنا شوفنا قبل هيك في section
+
+5
+00:00:37,720 --> 00:00:42,600
+عشرة واحد ال linear programming problem ومعالجتها
+
+6
+00:00:42,600 --> 00:00:46,960
+باستخدام ال simplex methodوبعد ذلك طلعنا على الـ
+
+7
+00:00:46,960 --> 00:00:50,560
+Genetic Algorithm كنوع آخر من الـ iterative
+
+8
+00:00:50,560 --> 00:00:55,060
+improvement methods اليوم ان شاء الله نطلع على
+
+9
+00:00:55,060 --> 00:00:59,820
+النوع التالت اللي هو في عندنا مسألة ال maximum
+
+10
+00:00:59,820 --> 00:01:03,860
+flow problem ونشوف كيف بيتم معالجتها بال iterative
+
+11
+00:01:03,860 --> 00:01:08,360
+improvement ال maximum flow problem خليني بس نوضح
+
+12
+00:01:08,360 --> 00:01:11,980
+ايش هي ال maximum flow problem بيكون في عندنا
+
+13
+00:01:11,980 --> 00:01:21,520
+networknetwork of nodes هذي بيبقى إشي زي هيك ال
+
+14
+00:01:21,520 --> 00:01:24,940
+vertices طبعا اللي ده graph network هذي عبارة عن
+
+15
+00:01:24,940 --> 00:01:31,960
+graph ال graph هذا directed graph directed graph
+
+16
+00:01:31,960 --> 00:01:38,270
+يعني ال edges تبعته labelled باتجاه محددهذا هو
+
+17
+00:01:38,270 --> 00:01:42,450
+يعني اللي هو directed graph إضافة على هذا القصي
+
+18
+00:01:42,450 --> 00:01:48,290
+اللي هو أنه vertices و فيه edges لازم تكون ال
+
+19
+00:01:48,290 --> 00:01:56,030
+edges هذه عليها أوزان أو capacities okay هذه أول
+
+20
+00:01:56,030 --> 00:02:00,290
+إضافة يعني بدون الأوزان لا يزال هو directed graph
+
+21
+00:02:00,290 --> 00:02:06,140
+بس احنا عشان نعتبره flow networkflow يعني تدفق،
+
+22
+00:02:06,140 --> 00:02:09,320
+flow network لازم يكون لكل edge يكون إيه ال
+
+23
+00:02:09,320 --> 00:02:13,180
+capacity تبعتها، هذا أول شرط، الشرط التاني إنه
+
+24
+00:02:13,180 --> 00:02:16,620
+يكون في واحدة من ال nodes اللي في ال network هذه
+
+25
+00:02:16,620 --> 00:02:20,240
+أو في ال graph هذا تبقى source، source بمعنى إنه
+
+26
+00:02:20,240 --> 00:02:24,180
+مش داكل عليها أي edges وطالع عليها edges طالع منها
+
+27
+00:02:24,180 --> 00:02:26,800
+edges، طالع منها edges ومش داكل عليها أي edges
+
+28
+00:02:27,550 --> 00:02:32,210
+واحدة أخرى تكون sink sink يعني destination يكون مش
+
+29
+00:02:32,210 --> 00:02:37,010
+طالع منها edges لكن داخل عليها edges okay فهذه
+
+30
+00:02:37,010 --> 00:02:40,930
+التلات نقاط الآن أنه يكون أول شيء فيه أوزان
+
+31
+00:02:40,930 --> 00:02:50,570
+الأوزان هذه لما نقول U I J يعني مثلا نقول U for
+
+32
+00:02:50,570 --> 00:02:57,540
+example U 1 2 يساوي كده؟ يساوي 2يعني ال capacity
+
+33
+00:02:57,540 --> 00:03:02,060
+تبع ال link من ال node واحد إلى اتنين يساوي اتنين
+
+34
+00:03:02,060 --> 00:03:03,440
+هذه ال maximum capacity
+
+35
+00:03:05,850 --> 00:03:11,310
+الان فاول اشي ان يكون ال Directed Graph هذا فيه
+
+36
+00:03:11,310 --> 00:03:14,530
+عليه labeling بأوزانة الأوزانة هي ال capacities
+
+37
+00:03:14,530 --> 00:03:17,770
+النقطة التانية ان يكون في sink و النقطة التالتة ان
+
+38
+00:03:17,770 --> 00:03:21,530
+يكون في source صح؟ طيب ايش ال problem يعني؟ شو
+
+39
+00:03:21,530 --> 00:03:25,050
+المطلوب؟ المطلوب انه بناء على هذه ال capacities ال
+
+40
+00:03:25,050 --> 00:03:27,670
+capacities هذه انت تخيلي اصلا ان ال network هذه
+
+41
+00:03:27,670 --> 00:03:32,530
+عبارة عن network لنقل material معين يقول مثلا هذه
+
+42
+00:03:32,530 --> 00:03:37,530
+قنوات ميهوبدي تم ضخ ال material اللي هنا هي الميه،
+
+43
+00:03:37,530 --> 00:03:43,690
+بدي تم ضخ ميه من واحد الهدف انه يصل الى ستة الكل
+
+44
+00:03:43,690 --> 00:03:47,370
+قناة الى capacity، جولي مثلا الاتنين هذه معناته
+
+45
+00:03:47,370 --> 00:03:51,610
+انه يمكن ضخ اتنين كوب و تلاتة يعني تلاتة كوب،
+
+46
+00:03:51,610 --> 00:03:56,260
+مابنقدرش نضخ اكتر من هيكالان المطلوب طبعا الهدف ان
+
+47
+00:03:56,260 --> 00:04:01,540
+يصل الدخل من ال source إلى ال sink المطلوب ان نحسب
+
+48
+00:04:01,540 --> 00:04:08,280
+جداش أقصى كمية من هذه المادة لان المياه يمكن ضخها
+
+49
+00:04:08,280 --> 00:04:15,640
+من ال source إلى ال sink الان لو انا عندى خلينا
+
+50
+00:04:15,640 --> 00:04:21,600
+نبص على الموضوع على نطاق أبسط لو انا بس عندىالـ
+
+51
+00:04:21,600 --> 00:04:26,460
+Notes هذه، واحد و اتنين و تلاتة و ستة، خلّيني
+
+52
+00:04:26,460 --> 00:04:29,700
+أسميها أربعة، ماشي ستة، okay؟
+
+53
+00:04:32,040 --> 00:04:36,180
+أنا ماعنديش غيره، ماعندي خط أنبيب واحد، ماعنديش
+
+54
+00:04:36,180 --> 00:04:40,440
+شبكة أنبيب، خط أنبيب واحد يتجول من هذه المجموعة من
+
+55
+00:04:40,440 --> 00:04:45,600
+القنوات ومعروف إنه ال capacity تبع القنوات هذه زي
+
+56
+00:04:45,600 --> 00:04:50,340
+هيكا واضح جدا إن ال capacity تبع خط الأنبيب هذا هي
+
+57
+00:04:50,340 --> 00:04:54,020
+تساوي قداش ال total capacity تبع خط الأنبيب هذا
+
+58
+00:04:54,020 --> 00:05:00,780
+تساوي ال capacity تبع أضعف قناةصح ولا لا؟ ليه
+
+59
+00:05:00,780 --> 00:05:05,060
+الاتنين؟ يعني أنا بقدر أطلع من هنا .. صح بقدر أنجم
+
+60
+00:05:05,060 --> 00:05:08,900
+من اتنين لتلاتة خمس كوب بس أصلا أنا مش قادر أواصل
+
+61
+00:05:08,900 --> 00:05:13,100
+اتنين أكتر من اتنين كوب okay؟ يبقى هم الاتنين
+
+62
+00:05:13,100 --> 00:05:15,240
+هدولة اللي بيصلوا الاتنين هم اللي هيطلعوا هنا و هم
+
+63
+00:05:15,240 --> 00:05:19,200
+اللي هي .. برضه كمان هييجوا هنا okay؟ لو هذه الآن
+
+64
+00:05:19,200 --> 00:05:23,620
+أربعة مافرجتش ولا تلاتة ولا خمسة ولا ستة مافرجتش
+
+65
+00:05:23,620 --> 00:05:28,830
+أنا عندي ال bottleneck .. اه ال bottleneckإنه هنا
+
+66
+00:05:28,830 --> 00:05:34,090
+لو هذه اتحسنت وصارت تلاتة وجدتها بقدر أضخ تلاتة
+
+67
+00:05:34,090 --> 00:05:39,930
+okay المهم انا لو عندي خط واحد او مصار واحد فقط
+
+68
+00:05:39,930 --> 00:05:45,050
+فال ال capacity تبقى هذا المصار ككل تساوي ال
+
+69
+00:05:45,050 --> 00:05:48,530
+capacity تبقى أضعف قنافي او أضعف link انا الآن
+
+70
+00:05:48,530 --> 00:05:53,890
+ماعنديش مصار عندي شبكة والشبكة هذه تحتوي على عدة
+
+71
+00:05:53,890 --> 00:05:58,980
+مصارات انا ممكن هذه مصارممكن هاي مصار وممكن هاي
+
+72
+00:05:58,980 --> 00:06:02,820
+مصار وانا ممكن اضخ على اكثر من مصار في انا واحد
+
+73
+00:06:02,820 --> 00:06:08,140
+يعني ممكن واحد اضخ في هذا الاتجاه وفي نفس الوجود
+
+74
+00:06:08,140 --> 00:06:12,900
+اضخ في هذا الاتجاه في هذا الاتجاه هيك ال maximum
+
+75
+00:06:12,900 --> 00:06:19,000
+capacity جديش لتحت
+
+76
+00:06:19,000 --> 00:06:25,040
+ال maximum capacity و ال link هذه one في هذا
+
+77
+00:06:25,040 --> 00:06:31,560
+الاتجاه ال maximum capacityاتنين ال total capacity
+
+78
+00:06:31,560 --> 00:06:36,100
+اللي هم الواحد والاتنين تلاتة، اللي بتقدرش تضخ
+
+79
+00:06:36,100 --> 00:06:41,400
+اكتر من تلاتة على هذا الاساس، صح؟ وطبعا هو هذا في
+
+80
+00:06:41,400 --> 00:06:45,260
+الآخر هو هذا ال maximum capacity لهذا الشبكة، انه
+
+81
+00:06:45,260 --> 00:06:48,480
+تضخ واحد في هذا الاتجاه و تضخ اتنين في هذا
+
+82
+00:06:48,480 --> 00:06:50,120
+الاتجاه، okay؟
+
+83
+00:06:56,630 --> 00:06:59,630
+يوجد total capacity جدش تلاتة وهي هذا ال maximum
+
+84
+00:06:59,630 --> 00:07:02,870
+المطلوب هو حساب جدش ال maximum capacity اللي يمكن
+
+85
+00:07:02,870 --> 00:07:07,710
+ضخه من ال source إلى ال sink عبر شبكة من القنوات
+
+86
+00:07:07,710 --> 00:07:10,090
+وال vertices طبعا
+
+87
+00:07:13,750 --> 00:07:18,950
+Okay هذه ال problem يمكن معالجتها اول اشي بس قبل
+
+88
+00:07:18,950 --> 00:07:22,530
+معالجتها طبعا هنشوف كيف نعالجها بال iterative
+
+89
+00:07:22,530 --> 00:07:27,450
+improvement method بس في الأول بدنا ان نركز او
+
+90
+00:07:27,450 --> 00:07:30,610
+ندقق على حاجة اسمها شوية constraints ال
+
+91
+00:07:30,610 --> 00:07:35,750
+constraints هنا flow conservation طبعا واضح جدا
+
+92
+00:07:35,750 --> 00:07:39,070
+انه انا .. خلينا نرجع بس على الرسمة واضح جدا انه
+
+93
+00:07:39,070 --> 00:07:44,440
+انا لما بده اضخ من هناتلاتة ولا اتنين ولا اي كمية
+
+94
+00:07:44,440 --> 00:07:49,180
+لازم هذه الكمية مايتمش تسريبها في ال network اللي
+
+95
+00:07:49,180 --> 00:07:52,900
+بيجيش ال network بتنز أو حزك اللي بيطلع من هنا
+
+96
+00:07:52,900 --> 00:07:57,220
+لازم يصل كله هنا تمام ال algorithm بدت تشتغل على
+
+97
+00:07:57,220 --> 00:08:01,760
+هذا الأساس انه اذا بدت تقولي ان واحد يضغط تلاتة
+
+98
+00:08:01,760 --> 00:08:07,290
+يبقى لازم توريني ان التلاتة وصلوا لست كاملينمش تم
+
+99
+00:08:07,290 --> 00:08:10,770
+فقدهم بشكل عبارة عن هذا هذا global flow
+
+100
+00:08:10,770 --> 00:08:14,790
+conservation يعني ال flow conservation ال
+
+101
+00:08:14,790 --> 00:08:19,790
+conservation يعني ايش يعني انه ال material بتظل
+
+102
+00:08:19,790 --> 00:08:27,330
+هزمها هي مابتمش فقدها هذا اول شكل تاني شئ انه برضه
+
+103
+00:08:27,330 --> 00:08:31,990
+من المنطقي انه اي node اي vertex اذا بيصله كمية
+
+104
+00:08:31,990 --> 00:08:36,580
+لازم هي نفس الكمية اللي هي اللي تطلع منهمايبقاش
+
+105
+00:08:36,580 --> 00:08:40,200
+فيه فرق ما بين اللي داخل عليه و اللي خارج منه،
+
+106
+00:08:40,200 --> 00:08:45,360
+okay؟ زائد إنه طبعا كل المقادير هذه لازم تبقى موجة
+
+107
+00:08:45,360 --> 00:08:48,780
+بقى، ماينفعش نضخ احنا بالسالب، نشفط شفط بدل ما
+
+108
+00:08:48,780 --> 00:08:55,160
+نضخ، تمام؟ فأه وشغل أخر مهمة اللي هي إنه أنا لا
+
+109
+00:08:55,160 --> 00:08:59,060
+أستطيع إن أنا تجاوز ال capacity تبع ال linkإذا
+
+110
+00:08:59,060 --> 00:09:03,480
+القناة هذه اتنين، لا يصح للـ Algorithm أن تقول ضخ
+
+111
+00:09:03,480 --> 00:09:08,100
+ثلاثة على هذا الاتجاه، okay؟ فهذه الـ constraints،
+
+112
+00:09:08,100 --> 00:09:14,040
+الـ constraints الأولاني اللي هو الـ vertex in out
+
+113
+00:09:14,040 --> 00:09:21,500
+flow conservation بيقول إن كل اللي بيطلع من أي
+
+114
+00:09:21,500 --> 00:09:28,060
+node، okay؟أو كل اللي بده يدخل على ال node لازم
+
+115
+00:09:28,060 --> 00:09:34,380
+يساوي كل اللي بيطلع منها ال source to sink flow
+
+116
+00:09:34,380 --> 00:09:38,960
+conservation انه كل اللي بده يطلع من one لازم
+
+117
+00:09:38,960 --> 00:09:44,190
+يساوي كل اللي بيصل إلى N، N هي الأخيرة ال sinkوالـ
+
+118
+00:09:44,190 --> 00:09:49,490
+capacity أنه لا يجب أنه ال output اللي طالع من ال
+
+119
+00:09:49,490 --> 00:09:53,370
+node على ال link يتجاوز ال capacity وطبعا لازم ما
+
+120
+00:09:53,370 --> 00:09:58,410
+يكون أقل من zero هدول ال two constraints مع بعض
+
+121
+00:09:58,410 --> 00:10:01,890
+أنه يكون موجب ومايزيدش عن ال capacity تبع ال link
+
+122
+00:10:01,890 --> 00:10:06,410
+واضح ال notation هذه لما أنا بقول U I J يعني ال
+
+123
+00:10:06,410 --> 00:10:10,190
+capacity تبع ال link الواصلة من I إلى J ولما أقول
+
+124
+00:10:10,190 --> 00:10:17,930
+Xالـ IJ أقصد بيها ما تم استخدامه من هذه الـ
+
+125
+00:10:17,930 --> 00:10:21,690
+capacity، الـ output اللي فعلاً طلع على هذا الـ
+
+126
+00:10:21,690 --> 00:10:23,470
+link من I إلى J
+
+127
+00:10:26,520 --> 00:10:35,360
+وطبعا ممكن اجي ارمز الى الباقي ب R Rij يساوي Uij
+
+128
+00:10:35,360 --> 00:10:40,860
+ناقص Xij شو معناته ال R هذي؟ R يعني اقتصاد ال
+
+129
+00:10:40,860 --> 00:10:45,420
+residual يعني الباقي الباقي هو الوسيلة اللي ضايل
+
+130
+00:10:45,420 --> 00:10:53,030
+في ال linkحتى الآن كيف يعني هناخد الرسم هذا انا
+
+131
+00:10:53,030 --> 00:11:00,810
+الآن عندي نفس ال network اللي عرضناها نفس
+
+132
+00:11:00,810 --> 00:11:07,370
+ال capacities لو انا جيت ايش اللي سويته قلت انه
+
+133
+00:11:07,370 --> 00:11:10,870
+الآن الان في هذه اللحظة انا مش هضخ اشي فانا ال
+
+134
+00:11:10,870 --> 00:11:14,230
+link هذه كل ال links انا مش مستخدم منهم اشي هذا ال
+
+135
+00:11:14,230 --> 00:11:19,520
+zero ال zero زي هذا هي ال Xعلى اليوم حتى الآن احنا
+
+136
+00:11:19,520 --> 00:11:26,000
+لان مش مستخدمين ال algorithm هتيجي تكتشف مصار و
+
+137
+00:11:26,000 --> 00:11:29,960
+لما تكتشفه هتستخدم القنوات اللي فيه وبالتالي الآن
+
+138
+00:11:29,960 --> 00:11:36,130
+ال zeros هي اللي بتتغير يعني مثلابداية الـ zeros
+
+139
+00:11:36,130 --> 00:11:39,450
+تعبّر عن جدّيش تم استخدامه في شيء وما استخدمش أي
+
+140
+00:11:39,450 --> 00:11:44,330
+شيء Zero وهذا هنا مبدأ اللي هو الـ iterative
+
+141
+00:11:44,330 --> 00:11:47,410
+improvement أنه أنا بدأ أقول أنه ما تم .. ما .. ما
+
+142
+00:11:47,410 --> 00:11:51,230
+سوف يكون مقدار الضغط في البداية Zero بعدين بدأ
+
+143
+00:11:51,230 --> 00:11:55,130
+نبحث عن مسارات اللي تزود الـ zero يادر إلى أي كمية
+
+144
+00:11:55,130 --> 00:11:58,930
+ثم مسار آخر يزود ليه إلى أي كمية .. مسار .. لما
+
+145
+00:11:58,930 --> 00:12:03,570
+بطل أقدر ألاقي مسارات تزود كمية ال total الضغط
+
+146
+00:12:03,570 --> 00:12:09,040
+الإجماليبأجفه باعتبر أنه الكمية اللي وصلت إليها هي
+
+147
+00:12:09,040 --> 00:12:13,520
+ال maximum فانا الآن عندي .. ها .. ها .. بدأ أرمز
+
+148
+00:12:13,520 --> 00:12:23,300
+إلى ال total .. ها .. total flow أو current total
+
+149
+00:12:23,300 --> 00:12:28,540
+flow V V مبدئية مساوية Zero بدأ أبحث عن مصار لجهة
+
+150
+00:12:28,540 --> 00:12:32,500
+هذا المصار اللي كنا بنحكي عنه اللي هو ال capacity
+
+151
+00:12:32,500 --> 00:12:37,390
+تبعته جداشتنين لأن عندي هذه اتنين وهذه خمسة وهذه
+
+152
+00:12:37,390 --> 00:12:41,590
+اتنين يبقى أنا محكوم بالاتنين هذا الان ال capacity
+
+153
+00:12:41,590 --> 00:12:44,310
+تبعت هذا المصارع هذا المصارع واحد إلى اتنين اتنين
+
+154
+00:12:44,310 --> 00:12:47,870
+إلى تلاتة تلاتة إلى ستة okay هذا المصارع ال
+
+155
+00:12:47,870 --> 00:12:52,550
+capacity تبعت يساوي اتنين يبقى الآن ال V بدأ ساوي
+
+156
+00:12:52,550 --> 00:12:59,290
+V زائد اتنين صح okay واش بدأ أسوي؟ بدأ اعمل
+
+157
+00:12:59,290 --> 00:13:04,790
+labeling للبدي اعمل labeling لل links او للقنوات
+
+158
+00:13:04,790 --> 00:13:10,090
+بأحدد قداش انا استخدمت من كل قناة هذه الآن بصير
+
+159
+00:13:10,090 --> 00:13:13,350
+اتنين وهذه بصير اتنين وهذه بصير اتنين اللي هي ال
+
+160
+00:13:13,350 --> 00:13:17,330
+capacity تبعت ال minimum يبقى انا الآن هنا R ضايلة
+
+161
+00:13:17,330 --> 00:13:23,370
+تلاتة R هنا قداش Zero مش ضايل حاجة انا استنفذت
+
+162
+00:13:23,370 --> 00:13:27,380
+طاقة القناة كلها وهنا كذلك الحالةانما هذا القناة
+
+163
+00:13:27,380 --> 00:13:32,080
+ضايل اضخ، بس عمليا انا هل بقدر انا اطلق اي اشي لان
+
+164
+00:13:32,080 --> 00:13:35,660
+من اتنين الى تلاتة؟ استحالة، لان اللي واصل الى
+
+165
+00:13:35,660 --> 00:13:41,320
+اتنين اصلا واصلي لحد الاقصى، فانا عبر ال link هذي
+
+166
+00:13:41,320 --> 00:13:46,560
+مش هكون ا gather in anotherOkay فالفكرة باختصار ان
+
+167
+00:13:46,560 --> 00:13:51,600
+اول اشي انا بابدأ بال zero بابحث عن طالما انه في
+
+168
+00:13:51,600 --> 00:13:57,300
+مسارات يمكن استخدامها تصل ما بين ال source الى ال
+
+169
+00:13:57,300 --> 00:14:05,600
+sink باخد مسار وباستخدم القنوات تبعته ثم بابحث عن
+
+170
+00:14:05,600 --> 00:14:11,600
+مسارات اخرى الى انيصبح امتى باجدر امتى بلاجيش
+
+171
+00:14:11,600 --> 00:14:18,920
+مسارات لما اجي الاجي كل المسارات full يعني مثلا
+
+172
+00:14:18,920 --> 00:14:23,200
+هذا المسار الان هذا ال link full و هذا ال link
+
+173
+00:14:23,200 --> 00:14:28,920
+full خلاص مابقدرش استخدم منها اشي لما اجي انا في
+
+174
+00:14:28,920 --> 00:14:34,500
+عندي مسارات ولكن القنوات اللي بتمر بتخلالها قنوات
+
+175
+00:14:34,500 --> 00:14:38,300
+مش بقى full مابقدرش استخدم هذا المسار ده بحث عن
+
+176
+00:14:38,300 --> 00:14:44,930
+غيرهطيب، لأن في البحث عن مسارات بدك
+
+177
+00:14:44,930 --> 00:14:49,810
+.. بدك تنسي ال direction بدك تنسي ال .. ال .. ان
+
+178
+00:14:49,810 --> 00:14:54,250
+ال edges directed بدك تبصي على ال graph و كأنه
+
+179
+00:14:54,250 --> 00:15:00,270
+undirected graph كيف يعني؟ هاي واحد و هاي اتنين و
+
+180
+00:15:00,270 --> 00:15:05,110
+هاي تلاتة .. تلاتة نعم و هاي ستة و هاي هنا خمسة ..
+
+181
+00:15:05,110 --> 00:15:08,450
+لأ هنا خمسة و هاي هنا أربعة
+
+182
+00:15:13,100 --> 00:15:17,640
+خلاص هذا المسار اللي اتوا احنا اخدناه فى مسار تانى
+
+183
+00:15:17,640 --> 00:15:28,600
+هذا المسار بقدر اخده مش
+
+184
+00:15:28,600 --> 00:15:32,880
+هاياته مسار واصل ال source بقدرش اخده لأنه يحتوي
+
+185
+00:15:32,880 --> 00:15:38,240
+على link هذه full من full هذه full وهذه full مصبوط
+
+186
+00:15:38,240 --> 00:15:44,530
+فى dial مسار اخر مش fullتطلعيش على الـdirected
+
+187
+00:15:44,530 --> 00:15:48,610
+graph تطلع على الـundirected graph هذا لو بدك تطلع
+
+188
+00:15:48,610 --> 00:15:56,310
+على ال directed graph إنما هنا فيه مسار صح؟ هذا
+
+189
+00:15:56,310 --> 00:15:56,970
+الآن مسار
+
+190
+00:16:00,350 --> 00:16:04,530
+طيب ماجول انا بدي امشي في هذا مسار مع انه يحتوي في
+
+191
+00:16:04,530 --> 00:16:12,250
+الحقيقة على directed link معاكسة لان انا بدي امشي
+
+192
+00:16:12,250 --> 00:16:16,830
+منه انا بدي امشي زي هيك اي نعم بس هذا ايش معناته؟
+
+193
+00:16:16,830 --> 00:16:21,410
+معناته ان انا بدي اروح اول اشي جبل طلع على ال
+
+194
+00:16:21,410 --> 00:16:27,290
+linkات جدش هنا ال capacity تلاتةوهنا لاحظ ان هذه
+
+195
+00:16:27,290 --> 00:16:31,810
+لسه فاضية فانا مسجل التلاتة وهنا واحد تمام؟ وهنا
+
+196
+00:16:31,810 --> 00:16:38,850
+قداش؟ باقى التلاتة؟ خليني نقول ناقص تلاتة؟ وهنا
+
+197
+00:16:38,850 --> 00:16:44,990
+قداش؟ تلاتة؟ وهنا كله؟ ماشي؟ طيب هذا المسار الآن
+
+198
+00:16:44,990 --> 00:16:50,170
+قداش ال capacity تبعته واحد صح؟ لأن أضعف link في
+
+199
+00:16:50,170 --> 00:16:59,130
+هذه هي اللي حكمته مصبوط؟ okayلأ انا بدي اضيف لكن
+
+200
+00:16:59,130 --> 00:17:02,930
+ايش السبب في ال link هذه؟ ال link هذه لو انت طلعت
+
+201
+00:17:02,930 --> 00:17:05,970
+عليها ال capacity تبعها احنا سجلنا تلاتة باسم
+
+202
+00:17:05,970 --> 00:17:09,090
+الناقص الناقص هنا مش معناه ناقص تلاتة معناه تلاتة
+
+203
+00:17:09,090 --> 00:17:14,570
+باسم الاتجاه العكسي لكن يعني ال capacity هي تلاتة
+
+204
+00:17:14,570 --> 00:17:18,690
+لكن واقعي الأمر ال capacity مش تلاتة okay كيف
+
+205
+00:17:18,690 --> 00:17:21,670
+يعني؟ يعني انا okay خلينا نفترض ان انا بضغط اخ في
+
+206
+00:17:21,670 --> 00:17:25,510
+هذا الاتجاهالان لو كانت هذه zero بقدر اضغط في هذا
+
+207
+00:17:25,510 --> 00:17:28,850
+الاتجاه و يصير عندك الضغط بالسالب مستحيل قولنا هذا
+
+208
+00:17:28,850 --> 00:17:33,210
+الكلام مابصحش لازم تبقى ال X كمية الضغط اكبر من
+
+209
+00:17:33,210 --> 00:17:37,430
+zero طيب ليش انا اخدت هذه لأنه انا الان already
+
+210
+00:17:37,430 --> 00:17:42,390
+بضغط اتنين فانا ممكن انقص من الاتنين يعني الضغط في
+
+211
+00:17:42,390 --> 00:17:46,010
+عكس الاتجاه لا يعني انه انا فعلا هضغط في عكس
+
+212
+00:17:46,010 --> 00:17:51,110
+الاتجاه لأ بس انا هقول لهذه النقطة جلل الضغط
+
+213
+00:17:51,110 --> 00:17:55,340
+بمقدار كذابدأ نقص من اللي هي بتضخه الآن الاتنين
+
+214
+00:17:55,340 --> 00:18:01,100
+بدي أخليها تضخ مثلا واحد أو تضخ صفر okay يبقى جديش
+
+215
+00:18:01,100 --> 00:18:04,900
+ال capacity مرة أخرى لهذا ال link الآن اتنين
+
+216
+00:18:04,900 --> 00:18:11,940
+capacity لهذا ال link أنا بقدر أخصم بقدر أمشي في
+
+217
+00:18:11,940 --> 00:18:16,940
+هذا الاتجاه بمقدار اتنين حد أقصى بقدر أخصم واحد أو
+
+218
+00:18:16,940 --> 00:18:22,220
+أخصم الاتنين كلهيبقى انا لما انا بحكي عن forward
+
+219
+00:18:22,220 --> 00:18:26,080
+edge هدولة بتسميهم forward اللي انا ماشيين معايا
+
+220
+00:18:26,080 --> 00:18:30,080
+في الاتجاه اللي انا ماشي فيه forward edges لكن ال
+
+221
+00:18:30,080 --> 00:18:33,460
+edge اللي عكس الاتجاه اللي انا ماشي فيه يسميها
+
+222
+00:18:33,460 --> 00:18:36,080
+backward edge فال capacity
+
+223
+00:18:38,790 --> 00:18:42,010
+الـ Capacity للـ Edge الـ Capacity للـ Edge الـ
+
+224
+00:18:42,010 --> 00:18:46,610
+Forward تساوي جدّيش هي الـ Total Capacity تبعها
+
+225
+00:18:46,610 --> 00:18:53,950
+ناقص اللي مشغول منها يعني هادي جدّيش ال Capacity
+
+226
+00:18:53,950 --> 00:19:00,130
+تبعها تلاتة ناقصاش Zero يساوي تلاتة ها بتعبّر عنه
+
+227
+00:19:00,130 --> 00:19:07,590
+كالتالي مش هينقولنا RR 1 إلى 4 يساوي الـ Capacity
+
+228
+00:19:07,590 --> 00:19:15,490
+الـ Total تلاتة نقص Zero يساوي تلاتة صحيح؟ من
+
+229
+00:19:15,490 --> 00:19:22,230
+أربعة إلى تلاتة R أربعة إلى تلاتة الـ Total واحد
+
+230
+00:19:22,230 --> 00:19:30,110
+نقص Zero يساوي واحد من R من تلاتة إلى اتنين من
+
+231
+00:19:30,110 --> 00:19:32,610
+اتنين
+
+232
+00:19:33,450 --> 00:19:42,350
+الى خمسة تلاتة ناقص Zero يساوي تلاتة من R من خمسة
+
+233
+00:19:42,350 --> 00:19:47,950
+الى ستة يساوي أربعة ناقص Zero يساوي أربعة لأن هذا
+
+234
+00:19:47,950 --> 00:19:53,810
+ايش أساوي فيها في كلهم ال capacity الحالية تساوي
+
+235
+00:19:53,810 --> 00:19:58,210
+ال total capacity ناقص المشغول حاليا لكن هذه ال
+
+236
+00:19:58,210 --> 00:20:01,270
+capacity الحالية هي المشغول حاليا
+
+237
+00:20:04,490 --> 00:20:08,890
+ما يساوى اتنين تمام؟ الان من هذه المقادير انا بدأ
+
+238
+00:20:08,890 --> 00:20:12,950
+اخد ال minimum واعتبر main .. اعتبر ان المسار تبعي
+
+239
+00:20:12,950 --> 00:20:17,730
+هذا ال full capacity تبعته هي ال minimum في هدولة
+
+240
+00:20:17,730 --> 00:20:23,150
+صح؟ اللي هي واحد طيب
+
+241
+00:20:23,150 --> 00:20:31,150
+okay الان انا بدأ اخد المسار هذا يعني ايش بدأ
+
+242
+00:20:31,150 --> 00:20:34,930
+اخده؟ يعني بدأ اضخ عليه اضخ عليه بمقدار جديشمقدار
+
+243
+00:20:34,930 --> 00:20:38,390
+الـ capacity تبعته اللي هو الواحد يعني الان كل
+
+244
+00:20:38,390 --> 00:20:43,930
+واحدة من ال links الان ايش؟ بدأ أقسم منها واحد هذه
+
+245
+00:20:43,930 --> 00:20:49,990
+الآن بيصير واحدة على تلاتة واحدة على واحد واحدة
+
+246
+00:20:49,990 --> 00:20:55,430
+على تلاتة واحدة على اربعة هذا ايش هسوي؟
+
+247
+00:20:55,430 --> 00:21:00,530
+بدأ اقسم منها واحد مش بدي اضيف لها واحد هذا انا
+
+248
+00:21:00,530 --> 00:21:05,980
+باضيف جاعتهزيرو ضفت عليها واحد هذه بدأ أخصم منها
+
+249
+00:21:05,980 --> 00:21:12,440
+واحد ده تصير واحد تمام؟ صح ولا لأ؟ لأنها backward
+
+250
+00:21:12,440 --> 00:21:21,900
+link يعني بصفة عامة ال X prime من أي link بتساوي
+
+251
+00:21:21,900 --> 00:21:30,740
+ال X الجديمة زائد ال capacity تبع ال path هذا إذا
+
+252
+00:21:33,180 --> 00:21:41,020
+Forward ولكن إذا Backward إذا ال link هذه IJ
+
+253
+00:21:41,020 --> 00:21:52,900
+Backward نقول X لا بدّأ أخصم X IJ ناقص ال path
+
+254
+00:21:52,900 --> 00:21:56,900
+capacity خلّيني
+
+255
+00:21:56,900 --> 00:22:00,640
+أعكسها ال capacity تبعت ال path ال capacity تبعت
+
+256
+00:22:00,640 --> 00:22:07,420
+ال path واضح؟أنا هنا الواحد هو ما رح أحصل طرح ال X
+
+257
+00:22:07,420 --> 00:22:12,280
+الحقيقية أنا ماتقدش اللي هي الاتنين ناقص واحد اللي
+
+258
+00:22:12,280 --> 00:22:15,400
+هي ال capacity بتاع ال path صح فال capacity
+
+259
+00:22:15,400 --> 00:22:21,320
+الجديدة الواحد هذا يعني ما رح أحصل طرح ال Xij
+
+260
+00:22:21,320 --> 00:22:27,500
+ناقصي بيه ال Xij هي ال Xij اللي نعم اللي كانت
+
+261
+00:22:27,500 --> 00:22:35,370
+الأتنين okayخلاص الان انا ماشي على نفس الأسلوب
+
+262
+00:22:35,370 --> 00:22:38,970
+سواء كان المصار يحتوي على backward ولا لا يحتوي
+
+263
+00:22:38,970 --> 00:22:43,750
+على backward انا بديت من ال zero و روحت دورت على
+
+264
+00:22:43,750 --> 00:22:49,510
+flow augmenting path طلع معايا هذا أخدته شوفت جديش
+
+265
+00:22:49,510 --> 00:22:54,690
+ال capacity تبعته اتنين اللي هي أضعف حلقاته و روحت
+
+266
+00:22:54,690 --> 00:22:59,740
+ايش غيرت ال labelsتمام؟ الان روحت ابحث عن واحد
+
+267
+00:22:59,740 --> 00:23:04,640
+تاني لجيت هذا هو البحث التام في ال .. in the
+
+268
+00:23:04,640 --> 00:23:10,120
+undirected version of the graph لجيت هذا هذا الان
+
+269
+00:23:10,120 --> 00:23:15,620
+ال capacity تبعته واحد روحت الآن غيرت ال edges و
+
+270
+00:23:15,620 --> 00:23:21,500
+اتعاملت مع ال backward بما يناسبها الان ال total
+
+271
+00:23:21,500 --> 00:23:26,600
+صار ان يساوي جدنيش تلاتةبدي أكمل بدي أبحث عن more
+
+272
+00:23:26,600 --> 00:23:31,460
+هخلّي بالك هي المصار هي الأرقام اللي احنا حاطناها
+
+273
+00:23:31,460 --> 00:23:37,440
+بالأزرق هيأتينا في الرسم هذه sorry
+
+274
+00:23:37,440 --> 00:23:41,880
+لسه بس أول شي هي المصار واحد إلى أربعة تلاتة أربعة
+
+275
+00:23:41,880 --> 00:23:47,000
+إلى تلاتة اتنين okay الآن هياته عدّل ال labels تبع
+
+276
+00:23:47,000 --> 00:23:50,420
+ال edges من عن على الكلام اللي هنا الان بدي أبحث
+
+277
+00:23:50,420 --> 00:23:55,690
+عن مصار آخر هالحين خلّي بالك أن هذا المصار fullهذا
+
+278
+00:23:55,690 --> 00:24:00,570
+المصار full، مين كمان full؟ هذا full، تمام؟ الآن
+
+279
+00:24:00,570 --> 00:24:05,170
+أنا هيك، ماكنرش أمشي، لأن القناة دي fullهك مقدر
+
+280
+00:24:05,170 --> 00:24:09,190
+امشي لكن بعد ما اصل انا بلاقي هذا full طيب انا اصل
+
+281
+00:24:09,190 --> 00:24:14,410
+هدولة هم المخرجين تبعوني المنفذين تبعوني واحد و
+
+282
+00:24:14,410 --> 00:24:17,370
+هذا مسكر من اول و هذا مسكر بعد تاني لينكي بجانبه
+
+283
+00:24:17,370 --> 00:24:22,570
+مافيش any more flow augmenting path تيجي في ال
+
+284
+00:24:22,570 --> 00:24:27,550
+algorithm و ال total اللي معايا هو تلاتة و هو هذا
+
+285
+00:24:27,550 --> 00:24:32,710
+اقصى ما يمكن اضخه هتلاقي ان التلاتة هذه اتنين منهم
+
+286
+00:24:32,710 --> 00:24:38,530
+ده مطلع عبر هذا ال linkولما يصل الاتنين واحد منهم
+
+287
+00:24:38,530 --> 00:24:41,310
+هيروح في هذا الاتجاه و واحد منهم هيروح في هذا
+
+288
+00:24:41,310 --> 00:24:47,890
+الاتجاه الواحد
+
+289
+00:24:47,890 --> 00:24:52,090
+هيروح في هذا الاتجاه ويمشي هك الان التلاتة هيصلها
+
+290
+00:24:52,090 --> 00:24:56,050
+واحد من هنا و واحد من هنا هتجمع فيها اتنين هتدخل
+
+291
+00:24:56,050 --> 00:25:01,590
+اتنين كلهم هذه اتجمع عندها اتنين ضخت واحد هك واحد
+
+292
+00:25:01,590 --> 00:25:08,100
+هك الان هذه اتجمع عندها واحد ضختهاللي وصل الى 6 هم
+
+293
+00:25:08,100 --> 00:25:13,680
+الواحد والاتنين هم نفس الكمية ال total اللي طلعت
+
+294
+00:25:13,680 --> 00:25:18,440
+من ال source فالأن ال algorithm هذه اسلوبها بسيط
+
+295
+00:25:18,440 --> 00:25:23,960
+جدا انه finding ال flow augmenting path يعني اول
+
+296
+00:25:23,960 --> 00:25:28,160
+اشي يعني بقدر انا ارخصها ب while loop صغيرة و اجه
+
+297
+00:25:28,160 --> 00:25:28,880
+اقول while
+
+298
+00:25:57,220 --> 00:26:00,900
+عندما يكون هناك المزيد من الطرق موفقة، اختار
+
+299
+00:26:00,900 --> 00:26:03,100
+الطريق A
+
+300
+00:26:25,560 --> 00:26:33,340
+خلاص بس طالب انه في المزيد من المسارات ناخد واحد
+
+301
+00:26:33,340 --> 00:26:39,660
+بنشوف جدش ال capacity تبعه بناء على ايش اضعف حلقة
+
+302
+00:26:39,660 --> 00:26:44,620
+فيه اضعف قناة بنعمل update لل network و بنكرر
+
+303
+00:26:44,620 --> 00:26:48,700
+لغاية ما هذا الشرط ينتفي مافيش no more path خلاص
+
+304
+00:26:48,700 --> 00:26:53,080
+بتكون
+
+305
+00:26:53,080 --> 00:26:57,830
+ايش اتجمعت عندنا اتجمعت عندناالـ edges اتحدث عندي
+
+306
+00:26:57,830 --> 00:27:01,630
+في كل edge في ال network ان عرف هستخدمها ولا مش
+
+307
+00:27:01,630 --> 00:27:05,050
+هستخدمها وإذا هستخدمها جديش هستخدم منها هذا
+
+308
+00:27:05,050 --> 00:27:11,010
+هستخدمها كلها هذا هستخدمها بس بنقرار واحد فقط صح؟
+
+309
+00:27:11,010 --> 00:27:14,030
+وبالتالي بيكون عرفنا ال maximum ال maximum هو
+
+310
+00:27:14,030 --> 00:27:18,610
+عبارة عن total ال output اللي طالع من ال source
+
+311
+00:27:18,610 --> 00:27:22,830
+اللي هو نفسه ال total input اللي داخل على ال sink
+
+312
+00:27:23,620 --> 00:27:27,640
+فعرفنا الـ V اللي هو الـ Total وهدفنا أيضًا كمان
+
+313
+00:27:27,640 --> 00:27:34,420
+الاضاءة أنا هنا مش قاعد بأدور على path ولا
+
+314
+00:27:34,420 --> 00:27:37,980
+shortest ولأ أنا قاعد بدور على مجموعة ال edges
+
+315
+00:27:37,980 --> 00:27:43,000
+اللي هتستخدم وجدش هنستخدم من كل واحدة منهم في
+
+316
+00:27:43,000 --> 00:27:49,060
+نهاية القمرoutput تبع الخوارزمية هيكون labeling لل
+
+317
+00:27:49,060 --> 00:27:57,500
+edges كل edge جداش اللي راح يستخدم كداش ال
+
+318
+00:27:57,500 --> 00:27:59,820
+capacity اللي راح تستخدم من ال capacity تبعتها
+
+319
+00:27:59,820 --> 00:28:04,480
+okay الآن في مناحظة صغيرة على هذا ال algorithm وهي
+
+320
+00:28:04,480 --> 00:28:10,500
+أنه احنا خدي عندك المثال هذا لو عندي انا network
+
+321
+00:28:10,500 --> 00:28:17,500
+بسيطة جدا زي هذه اربع اربع verticesOkay؟ واحد،
+
+322
+00:28:17,500 --> 00:28:21,300
+اتنين، تلاتة، اربعة الـ Capital U يرمز إلى اللي هو
+
+323
+00:28:21,300 --> 00:28:26,160
+الـ Capacity نفترض أن الأربع edges هدولة هذه و هذه
+
+324
+00:28:26,160 --> 00:28:30,700
+و هذه لهم نفس ال Capacity U و U بتساوي يقول مثلا
+
+325
+00:28:30,700 --> 00:28:35,500
+مية Okay؟ يعني هدولة الأربع edges ال Capacity
+
+326
+00:28:35,500 --> 00:28:42,720
+تبعتهم مية مية، مية، مية، مية، مية، مية، مية، مية،
+
+327
+00:28:42,720 --> 00:28:42,720
+مية، مية، مية، مية، مية، مية، مية، مية، مية، مية،
+
+328
+00:28:42,720 --> 00:28:42,720
+مية، مية، مية، مية، مية، مية، مية، مية، مية، مية،
+
+329
+00:28:42,720 --> 00:28:42,720
+مية، مية، مية، مية، مية، مية، مية، مية، مية، مية،
+
+330
+00:28:42,720 --> 00:28:45,990
+مية، مية، مية، مية، مية، ميةالبداية احنا ايش Zero
+
+331
+00:28:45,990 --> 00:28:53,290
+نبحث عن مصار انا الان على سريع لو بدى اشتغل الكلام
+
+332
+00:28:53,290 --> 00:28:59,170
+هذا مش ال algorithm بروح بختار هذا المصار و بخل
+
+333
+00:28:59,170 --> 00:29:04,010
+مقدار الضخ ال full capacity بما ان ال capacity هنا
+
+334
+00:29:04,010 --> 00:29:09,840
+U و هنا U جداش ال capacity تبع المصار كله Uفبضخ
+
+335
+00:29:09,840 --> 00:29:14,580
+المية كلها على هذا الاتجاه و بروح أبحث عن more
+
+336
+00:29:14,580 --> 00:29:20,160
+flow augmenting path بلاقي هذا برضه you بروح بضخ
+
+337
+00:29:20,160 --> 00:29:24,910
+you الأن خلصت ال algorithmفي two iterations خلصت
+
+338
+00:29:24,910 --> 00:29:27,770
+لأن هذه الان ال link هتكون أصبحت full انا
+
+339
+00:29:27,770 --> 00:29:30,750
+استخدمتها كلها وهذه كلها وهذه كلها ابقى هذه ال
+
+340
+00:29:30,750 --> 00:29:34,470
+link مش هشوفها لأنه خلاص وانا حققت ال maximum اللي
+
+341
+00:29:34,470 --> 00:29:38,870
+هو two U يعني هنا طلع من هذه اتنين U وصله اتنين U
+
+342
+00:29:38,870 --> 00:29:43,550
+U من هنا و U من هنا صح؟ two U و في ايش؟ في two
+
+343
+00:29:43,550 --> 00:29:44,630
+iterations فقط
+
+344
+00:29:47,360 --> 00:29:51,560
+بينما لو الـ Algorithm ماكنتش مفتحة عينها بهذا
+
+345
+00:29:51,560 --> 00:29:58,960
+الشكل راحت غلطت و أخدت المصار هذا في الأول ماأخدتش
+
+346
+00:29:58,960 --> 00:30:05,520
+المصار هذا المصار احنا قلنا select a path اتعرفوا
+
+347
+00:30:05,520 --> 00:30:09,940
+إيش كتبتوا انتوا؟ select a path يعني طالما أنه في
+
+348
+00:30:09,940 --> 00:30:12,820
+path select a path a path يعني أي واحد، حيال الله
+
+349
+00:30:13,490 --> 00:30:17,730
+بدنا اشعر احنا الآن اي و حاجة فهنا لو هي اختارت اي
+
+350
+00:30:17,730 --> 00:30:21,450
+حاجة ممكن تختار هذا طب هي لا جدش ال capacity بتبقى
+
+351
+00:30:21,450 --> 00:30:26,370
+only one يعني مش هتضخ مية مش هتختار مية هتختار
+
+352
+00:30:26,370 --> 00:30:30,010
+واحد فهذا هتصير واحد من مية وهنا واحد وهنا واحد من
+
+353
+00:30:30,010 --> 00:30:39,010
+مية طبعا okay okay الان ايش
+
+354
+00:30:39,010 --> 00:30:47,280
+بده يصير بده يصير انهتروح بعد هيك اي واحد من اخدته
+
+355
+00:30:47,280 --> 00:30:53,480
+واحد من واحد بعدين بقى تروح تيجي هنا تشوف هذا
+
+356
+00:30:53,480 --> 00:30:56,500
+المسار احنا قلنا احنا بنطلع على ال undirected
+
+357
+00:30:56,500 --> 00:31:06,600
+graph okay هذه الأن عاش احنا
+
+358
+00:31:06,600 --> 00:31:12,000
+احنا خلاص هذه هيك هذه مع هذه و هذه مع هذهOkay فهنا
+
+359
+00:31:12,000 --> 00:31:16,220
+هتلاقي المصار هذا و بعد هيك ايش هتلاقي هتلاقي هذه
+
+360
+00:31:16,220 --> 00:31:23,240
+مسكرة هذه سكرت و هذه سكرت و هنا هتيجي okay ايش بس
+
+361
+00:31:23,240 --> 00:31:34,460
+و بدها تاخد هذا المصار هيك لحظة شوية بدها اضغط
+
+362
+00:31:37,320 --> 00:31:45,760
+أول اشي تاكتب path 1234 1234 بعدين okay is the
+
+363
+00:31:45,760 --> 00:31:55,940
+value of float 2 okay طيب
+
+364
+00:31:55,940 --> 00:32:03,320
+خليني أتبع هنا شوي شوي هي هيك أخدت واحد صح؟ و
+
+365
+00:32:03,320 --> 00:32:06,960
+بعدين؟ دل عندها المسار هي ده صح؟
+
+366
+00:32:12,600 --> 00:32:17,200
+مظبوط؟ ونفترض أن هذه المسارة بتاعش تشوفه ايش
+
+367
+00:32:17,200 --> 00:32:26,820
+بتشوف؟ بتبص على الـ Undirected هاي
+
+368
+00:32:26,820 --> 00:32:34,740
+مشيت هيك واحد، اتنين، تلاتة، اربعة okay واحد على U
+
+369
+00:32:34,740 --> 00:32:43,700
+وهنا واحد على واحد وهنا ايش؟ واحد علىU الان افترض
+
+370
+00:32:43,700 --> 00:32:49,400
+انه بيبدأ تمشي هيك بتقدر تمشي هيك ليش؟ هي بتقدر
+
+371
+00:32:49,400 --> 00:32:55,000
+عمليا بتقدر تخصم من هذه بتقدر تخصم من هذه صح؟
+
+372
+00:32:55,000 --> 00:32:58,340
+بمعنى ايش بتروح تسوي؟ بتروح تجلس هذه تصبح صفر
+
+373
+00:32:58,340 --> 00:33:03,720
+وتعمل واحد هنا واحد على U تزيد هذه انها صفر تصبح
+
+374
+00:33:03,720 --> 00:33:10,180
+واحد وهذه تنخصم وهنا تصبح واحد على U صح؟
+
+375
+00:33:13,050 --> 00:33:17,890
+مظبوط؟ و بتقدر تستمر بعد شويه بتلاقي هذا المسار
+
+376
+00:33:17,890 --> 00:33:22,710
+هذا ال link لسه مش مقنين غير واحد من المية و هنا
+
+377
+00:33:22,710 --> 00:33:26,470
+هذا فاضي و هذا واحد من المية فبنقدر نأخد المسار
+
+378
+00:33:26,470 --> 00:33:30,950
+هذا مرة أخرى و يصير هذا اتنين و هذا واحد و هذا
+
+379
+00:33:30,950 --> 00:33:38,790
+اتنين مظبوط؟ و بعدين نرجع تاني نرجع تاني هيكنخصم
+
+380
+00:33:38,790 --> 00:33:44,190
+نزيد هذه اتنين ونخصم هذه واحد ونزيد هذه اتنين وتظل
+
+381
+00:33:44,190 --> 00:33:49,210
+تكتشف فيهم المسارات بالتنقيت ايش يعني بالتنقيت؟
+
+382
+00:33:49,210 --> 00:33:56,170
+يعني كل iteration تكتشف انها تقدر تضخ مقدار واحد
+
+383
+00:33:56,170 --> 00:34:02,390
+في الآخر هتصل الى مية عالمية ومية عالمية بالتدريج
+
+384
+00:34:02,390 --> 00:34:06,190
+ولكن يعني في الآخر هتطلقلي انه
+
+385
+00:34:09,080 --> 00:34:21,140
+0 على 0 U على U و U على U هتطلع لنفس الناتج ولكن
+
+386
+00:34:21,140 --> 00:34:26,720
+هتكتشف هذا الاستنتاج بالتدريج الممل اللي هو انه
+
+387
+00:34:26,720 --> 00:34:30,640
+تمشي هيك و بعدين تمشي هيك و تخصم هذه و بعدين تمشي
+
+388
+00:34:30,640 --> 00:34:36,850
+تاني واضح؟ هذا هيأخذ معاها أكام iterationضعف الـ U
+
+389
+00:34:36,850 --> 00:34:40,950
+هتاخد two U iterations هذا worst case صح ال best
+
+390
+00:34:40,950 --> 00:34:46,230
+case اللي واحنا عاكنها انه تكتشف المسار هذا من أول
+
+391
+00:34:46,230 --> 00:34:48,710
+iteration و المسار هذا من ال iteration التاني
+
+392
+00:34:48,710 --> 00:34:52,710
+وبتاعة تاخد two iterations و ال maximum flow هو
+
+393
+00:34:52,710 --> 00:34:59,110
+أيضا two U بينما هنا بطريقة هذه تاخد two U
+
+394
+00:34:59,110 --> 00:35:04,350
+iterations200 iterations عشان تكتشف ان ال maximum
+
+395
+00:35:04,350 --> 00:35:09,910
+flow هو 200 okay فهنا هذه القضية اللي هي علاقة بال
+
+396
+00:35:09,910 --> 00:35:13,310
+efficiency تبع ال algorithm انه اذا ال algorithm
+
+397
+00:35:13,310 --> 00:35:19,290
+ماكانتش عندها طريقة انها تختار ال path بشكل اكتر
+
+398
+00:35:19,290 --> 00:35:24,110
+حكمة يعني بشكل guided ممكن تجع في efficiency
+
+399
+00:35:24,110 --> 00:35:29,590
+degradation تجع في worst case بسهولةالمخرج من هذا
+
+400
+00:35:29,590 --> 00:35:34,490
+الأمر أن يكون في عندي Algorithm و لو Algorithm
+
+401
+00:35:34,490 --> 00:35:41,250
+منفصلة اللى بتعمل اختيار ال path اللى هو ال flow
+
+402
+00:35:41,250 --> 00:35:48,210
+augmenting path بشكل أفضل هذه ال algorithm موجودة
+
+403
+00:35:48,210 --> 00:35:52,190
+اسمها shortest augmenting path او اسمها ال first
+
+404
+00:35:52,190 --> 00:35:56,340
+labelled first scanned algorithmOkay ال algorithm
+
+405
+00:35:56,340 --> 00:36:00,160
+هي دي مش هاخدش في تفاصيلها انا لان بس الفكرة
+
+406
+00:36:00,160 --> 00:36:04,940
+الأساسية تبعتها ان هي بتاخد
+
+407
+00:36:04,940 --> 00:36:08,540
+ال graph breadth first يعني بتبدأ من ال source و
+
+408
+00:36:08,540 --> 00:36:12,080
+بتطلع على كل المتصلين ابه على انهم children له
+
+409
+00:36:12,080 --> 00:36:17,920
+بتاخد ال source اللي هي ال vertex الأولى و بتطلع
+
+410
+00:36:17,920 --> 00:36:22,700
+على كل متصلين ابه على انهم childrenوبتصفهم في ال
+
+411
+00:36:22,700 --> 00:36:26,360
+queue معناه احنا ال breakfast كيف بشتغل من ال ..
+
+412
+00:36:26,360 --> 00:36:29,220
+من ال route بنطلع على كل ال children بنحط ال
+
+413
+00:36:29,220 --> 00:36:31,840
+children هدولة في ال queue بناخدهم واحد واحد
+
+414
+00:36:31,840 --> 00:36:35,960
+بالدور مظبوط؟ جابل ما ناخد مين ال children تبعونهم
+
+415
+00:36:35,960 --> 00:36:40,140
+يعني لو جفت على واحد من ال children و لاجئت أنه له
+
+416
+00:36:40,140 --> 00:36:44,260
+children بروح باخدهم و بحطهم في آخر الطابور فبيجي
+
+417
+00:36:44,260 --> 00:36:48,560
+دورهم بعد ما خلص أبائهم ال parents في الأول المهم
+
+418
+00:36:48,560 --> 00:36:52,990
+في اندي أنا طابور بقى أخد منهمالألغوريثم هذه الـ
+
+419
+00:36:52,990 --> 00:36:55,410
+First Labeled First Scanned algorithm بتاخد كل
+
+420
+00:36:55,410 --> 00:37:01,490
+واحد بتاخدهم من الطبور و بتفحص ال node بتفحص مين
+
+421
+00:37:01,490 --> 00:37:07,330
+اللي ماخد منها يعني انا ماجف على I هذي I هي اللي
+
+422
+00:37:07,330 --> 00:37:12,610
+انا أخدتها من الطبور بشوف مين اللي ماخد منها و مين
+
+423
+00:37:12,610 --> 00:37:19,040
+اللي معطيهاو بتعمل labeling ل ال nodes هذه او هذه
+
+424
+00:37:19,040 --> 00:37:28,540
+على اساس كمية ال node اللى بدها تاخد و بتختار ال
+
+425
+00:37:28,540 --> 00:37:35,240
+minimum و بعدين اي واحدة اول واحدة مش labeled لم
+
+426
+00:37:35,240 --> 00:37:40,100
+يتمدخلت و عملت لها labeling و بتروح عليها و بتعمل
+
+427
+00:37:40,100 --> 00:37:45,500
+labeling لإيش اللي بعدها بسرعة بتكون وصلت لل sink
+
+428
+00:37:45,500 --> 00:37:50,120
+عملت labeling لإيش؟ عملت labeling لل nodes اللي من
+
+429
+00:37:50,120 --> 00:37:52,860
+ال source إلى ال sink labeling ال labeling اللي
+
+430
+00:37:52,860 --> 00:37:57,880
+بنعمل لل nodes مش لل edges بيحتوي على كمية ال
+
+431
+00:37:57,880 --> 00:38:00,840
+material اللي ممكن تصل لهذا ال node من اللي
+
+432
+00:38:00,840 --> 00:38:05,920
+ماعطيهازاد ايش رقم ال node اللي يعني مثلا هذه ممكن
+
+433
+00:38:05,920 --> 00:38:09,600
+تكون ماخدة من اكتر من واحدة اذا هي بدها تاخد من
+
+434
+00:38:09,600 --> 00:38:15,380
+هذه هيكون ايش ال label تبعها هنا صح؟ والكمية اللي
+
+435
+00:38:15,380 --> 00:38:20,880
+هي ال value المتاح على اللي بتكون هنا باختصار شديد
+
+436
+00:38:20,880 --> 00:38:27,960
+في الآخر ال sink هيبقى ال label تبعه بدل على ايش
+
+437
+00:38:28,700 --> 00:38:33,040
+على الكمية اللى ممكن ناخدها السنك عبر هذا المسار،
+
+438
+00:38:33,040 --> 00:38:36,840
+احنا لسه بنحلش المسائب، احنا لسه بنستكشف المسار
+
+439
+00:38:36,840 --> 00:38:44,420
+اللى ناخدهالـ Sync بيجيله ال label تبعه بيقول انه
+
+440
+00:38:44,420 --> 00:38:48,340
+جدش الكمية اللي ممكن يصلها عبر .. يصل .. ياخدها
+
+441
+00:38:48,340 --> 00:38:51,540
+عبر هذا المسار و من أنهي node افترض انها الستة و
+
+442
+00:38:51,540 --> 00:38:56,320
+بتاخد من .. جولي مثلا أربعة هنا من أربعة وبنحط
+
+443
+00:38:56,320 --> 00:39:00,620
+plus أو minus إشارة إلى هل الاتجاه هيكون forward
+
+444
+00:39:00,620 --> 00:39:05,490
+ولا backwardOkay طيب هدول المعلومات التنتين بيكفن؟
+
+445
+00:39:05,490 --> 00:39:09,950
+ايه نعم بيكفن لأنه الكمية هذه هي ال maximum تبع
+
+446
+00:39:09,950 --> 00:39:15,810
+المسار صح؟ مازال انا بقدر اوصل ال 6 لل 5 المقدار
+
+447
+00:39:15,810 --> 00:39:20,430
+هذا يبجى هذا هو المقدار تبع المسار كله الرقم هذا
+
+448
+00:39:20,430 --> 00:39:25,370
+يدل على مين القبل الأخيرة و القبل الأخيرة هلاج ال
+
+449
+00:39:25,370 --> 00:39:29,190
+label تبعها هيقول لي مين اللي جابلها يبجى المسار
+
+450
+00:39:29,190 --> 00:39:35,390
+صار انديأو تسلسله وصار عندي ال capacity تبعته فال
+
+451
+00:39:35,390 --> 00:39:40,330
+algorithm دي بتعطيني ال shortest augmenting path
+
+452
+00:39:40,330 --> 00:39:46,130
+بيكون أقصر و بيكون يحتوي على اللي هو الكمية اللي
+
+453
+00:39:46,130 --> 00:39:52,640
+ممكن تدخل من خلالهفانت الآن لما بدك تتعاملي مع
+
+454
+00:39:52,640 --> 00:39:58,480
+مثلة ال flow maximization أو maximum flow problem
+
+455
+00:39:58,480 --> 00:40:03,700
+تقول اللي هيكون مطلوب منك اللي هو انه بالنظر تختار
+
+456
+00:40:03,700 --> 00:40:10,120
+ال flow augmenting path، تختار ال path، okay؟ و لو
+
+457
+00:40:10,120 --> 00:40:14,340
+أخدت مثلا path و كان فيه واحد تان أفضل منه مش
+
+458
+00:40:14,340 --> 00:40:21,300
+أشكال، هتبقى عدد الخيارات المحدودة فيها، okay؟طيب
+
+459
+00:40:21,300 --> 00:40:23,460
+احنا ايه كمان نكون خلصنا المحاضرة الجاي ان شاء
+
+460
+00:40:23,460 --> 00:40:27,420
+الله بن .. بنشوف section عشر تلاتة يوم السبت و ان
+
+461
+00:40:27,420 --> 00:40:28,080
+شاء الله بنخلص
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/TIh1ujajMGg_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/TIh1ujajMGg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a4e984776f9ea1d2dd32eb3ea7aaf91b9e9c88ea
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/TIh1ujajMGg_postprocess.srt
@@ -0,0 +1,1956 @@
+1
+00:00:20,750 --> 00:00:23,370
+ماشاء الله بسم الله الرحمن الرحيم الصلاة والسلام
+
+2
+00:00:23,370 --> 00:00:27,570
+علي أشرف المرسلين اليوم بنكمل الموضوع اللي فتحناه
+
+3
+00:00:27,570 --> 00:00:30,330
+المحاضرة الماضية اللي هو Dynamic Programming وكنا
+
+4
+00:00:30,330 --> 00:00:34,630
+شوفنا two examples و بدينا في ال example التالت
+
+5
+00:00:34,630 --> 00:00:41,690
+بدنا نكمل مطرح انتهينا المحاضرة الماضية كان ال
+
+6
+00:00:41,690 --> 00:00:44,910
+example التالت هو عمليا ال example الأول كانوا ال
+
+7
+00:00:44,910 --> 00:00:48,240
+three examples دول بس احنا بدينامن التاني والتالت
+
+8
+00:00:48,240 --> 00:00:51,000
+بعدين أرجع للأول الأول اللي هو ال coin raw problem
+
+9
+00:00:51,000 --> 00:00:55,620
+أنه في عندي مجموعة من القطع العملة مصفطين على سطر
+
+10
+00:00:55,620 --> 00:00:59,300
+ممكن يبقى فيهم تكرار يعني قطعتين نفس القيمة
+
+11
+00:00:59,300 --> 00:01:04,640
+المطلوب أنه أنا أخد مجموعة فرعية من هذه القطع بحيث
+
+12
+00:01:04,640 --> 00:01:09,900
+أنه أكون أحققت أكبر value وطبعا بشرط أنه ما أخد
+
+13
+00:01:09,900 --> 00:01:13,540
+قطعتين مجاورات لبعض يعني إذا أخد قطعة لا أخد اللي
+
+14
+00:01:13,540 --> 00:01:17,800
+جنبها يمين ولا جنبها شمال أشوف غيرهاالان احنا
+
+15
+00:01:17,800 --> 00:01:21,620
+عملنا formulation لل problem اول شي هاي المثال
+
+16
+00:01:21,620 --> 00:01:25,020
+اللي كان انه قطع خمسة و احد و اتنين و اشره و سته و
+
+17
+00:01:25,020 --> 00:01:36,140
+اتنين هاي في انتين متشابهات جينا حكينا انه ال
+
+18
+00:01:36,140 --> 00:01:41,160
+best value هي
+
+19
+00:01:41,160 --> 00:01:43,580
+ال F ده معناته ال best value
+
+20
+00:01:49,330 --> 00:01:54,710
+اللي ممكن احصل عليه من عدد N من القطاع من عدد N من
+
+21
+00:01:54,710 --> 00:02:00,690
+القطاع انا طبعا عندي المطلوب بيكون ان اجمع من ال N
+
+22
+00:02:00,690 --> 00:02:07,010
+كلها هو هيكون اما ال best value هيكون اما ال best
+
+23
+00:02:07,010 --> 00:02:10,190
+value هذا جدول ال F يعني جدول اخر لل coins
+
+24
+00:02:13,610 --> 00:02:17,850
+الـ coins نفسها ليه؟ الخمسة الواحد الاتنين العشرة
+
+25
+00:02:17,850 --> 00:02:24,130
+الستة اتنين تمام
+
+26
+00:02:24,130 --> 00:02:28,570
+لهم جدول تاني فالجدول التاني اللي هو الجدول ال
+
+27
+00:02:28,570 --> 00:02:34,570
+values هو هيكون ال best value فأي خلية ال best
+
+28
+00:02:34,570 --> 00:02:40,370
+value هيكون اما اما ال
+
+29
+00:02:40,370 --> 00:02:42,810
+best value اللي يمكن جمعه
+
+30
+00:02:49,050 --> 00:02:55,850
+بدون إضافتها أو ال best value اللي يمكن جمعه من
+
+31
+00:02:55,850 --> 00:03:06,730
+الخلية f of n نقص اتنين زائد c
+
+32
+00:03:19,440 --> 00:03:23,860
+هذا الكلام أجا من وين؟ أجا من تصور أنه إحنا ممكن
+
+33
+00:03:23,860 --> 00:03:31,560
+نقسم المجموعة إلى مجموعتين مجموعات يعني جار مشتركة
+
+34
+00:03:31,560 --> 00:03:37,460
+بحيث أنه لو أنا العنصر الأخير اللي هو N بدي أخده
+
+35
+00:03:37,460 --> 00:03:41,380
+بقدر أخد معاه .. بقدرش أخده لجنبه بقدر أخد أي
+
+36
+00:03:41,380 --> 00:03:47,320
+تشكيلة من عند N ناقص 2 للبداية صح؟ هذه مجموعة
+
+37
+00:03:48,220 --> 00:03:51,740
+المجموع التاني اللي هي المجموع اللي بتنتهي عند n
+
+38
+00:03:51,740 --> 00:03:57,140
+ناقص واحد باخدها و باخد معاها أي تشكيل من ال .. من
+
+39
+00:03:57,140 --> 00:04:00,960
+اللي قبل فدول المجموع تاني اللي بتنتهي ب n و اللي
+
+40
+00:04:00,960 --> 00:04:05,860
+بتنتهي ب n ناقص واحد تمام؟ قلنا إن ال best value
+
+41
+00:04:05,860 --> 00:04:09,720
+لهذه المجموعة أو هذا المجموعة هو بالشكل هذا فأنا
+
+42
+00:04:09,720 --> 00:04:13,200
+بدي أخد ال maximum ما بين هذين ال two ال two best
+
+43
+00:04:13,200 --> 00:04:17,960
+values هذا ال best value اللي يمكن تحصيلهمن
+
+44
+00:04:17,960 --> 00:04:21,260
+المجموعة اللي بتنتهي عند N ناقص واحد وهي ده ال
+
+45
+00:04:21,260 --> 00:04:24,020
+best value اللي ممكن تحصله من المجموعة اللي بتنتهي
+
+46
+00:04:24,020 --> 00:04:30,570
+ب N قيمة هذا ال best value جاي من قيمة Nزائد قيمة
+
+47
+00:04:30,570 --> 00:04:33,330
+ال best value اللي يمكن جمعها هذا ال recurrence
+
+48
+00:04:33,330 --> 00:04:38,410
+الآن ان عشان اجيب f of n صار لازم اشوف f of n نقص
+
+49
+00:04:38,410 --> 00:04:42,530
+واحد و f of n نقص اتنين ال f هنا يعني ال best
+
+50
+00:04:42,530 --> 00:04:48,070
+value فالكلام هذا لما نجينا نطبقه عمليا طبعا ال f
+
+51
+00:04:48,070 --> 00:04:54,570
+of zero انه zero in طبعا zero f of واحد يعني ال
+
+52
+00:04:54,570 --> 00:04:59,330
+coin واحدةعندي كل المعروض عليه coin واحد هو قيمة
+
+53
+00:04:59,330 --> 00:05:03,950
+الـ coin هذه okay فالكلام هذا لما طبقناه عمريا
+
+54
+00:05:03,950 --> 00:05:11,670
+حقيقة اندي هنا احنا مشينا و لما وصلنا لل value اول
+
+55
+00:05:11,670 --> 00:05:16,910
+اشي طبعا ال ال f of zero زي ما قلنا هنا بالساوية
+
+56
+00:05:16,910 --> 00:05:21,030
+zero f of واحد بالساوية قيمة ال coin رقم واحد اللي
+
+57
+00:05:21,030 --> 00:05:25,650
+هي الخمسة بنكمل من بعد هي كأن انا بختار ما بينهنا
+
+58
+00:05:25,650 --> 00:05:31,170
+ال value في كل خلية هو واحد من اتنين يا اما يا اما
+
+59
+00:05:31,170 --> 00:05:36,690
+ايش يا
+
+60
+00:05:36,690 --> 00:05:42,330
+اما ال value هذا اللي هو f of n ناقص واحد يا اما
+
+61
+00:05:42,330 --> 00:05:51,080
+ال value of ايش هذا زائد mean f of n ناقص اتنينهنا
+
+62
+00:05:51,080 --> 00:05:55,780
+المجموح هذا واحد وهذا خمسة أكبر فباخد الخمسة
+
+63
+00:05:55,780 --> 00:06:00,720
+المجموح هذا سبعة وهذا خمسة باخد سبعة المجموح هذا
+
+64
+00:06:00,720 --> 00:06:05,240
+خمستاش بمقارنة مع السبعة باخد الخمستاش المجموح هذا
+
+65
+00:06:05,240 --> 00:06:08,680
+تلاتاش بمقارنة مع الخمستاش باخد الخمستاش المجموح
+
+66
+00:06:08,680 --> 00:06:12,180
+هذا سبعتاش بمقارنة مع الخمستاش باخد السبعتاش فهذه
+
+67
+00:06:12,180 --> 00:06:15,640
+تشكل الجدول النهائي الآن السبعتاش هذا بتقوللي هذا
+
+68
+00:06:15,640 --> 00:06:18,530
+ال best value اللي ممكن تاخدهطيب انا من وين ممكن
+
+69
+00:06:18,530 --> 00:06:22,370
+هجيب السبتاشة هذه؟ بدي اعمل backtracking كيف
+
+70
+00:06:22,370 --> 00:06:29,270
+backtracking؟ الآن السبتاشة هذه أجت بإضافة إيش؟
+
+71
+00:06:29,270 --> 00:06:33,310
+إيش اللي جابلها؟ خمستاشة يبقى احنا حصلنا على
+
+72
+00:06:33,310 --> 00:06:36,850
+السبتاشة من إضافة التنين يبقى التنين هذه بدا ت ..
+
+73
+00:06:36,850 --> 00:06:46,510
+ال coin هذه بدا تخش صح؟ ال coin هذه بدا تخشالكوينة
+
+74
+00:06:46,510 --> 00:06:50,510
+دي لما انا اشيلها من المجموع برجع للخمس عشر الخمس
+
+75
+00:06:50,510 --> 00:06:54,250
+عشر اول خمس عشر عندى هنا الخمس عشر هدى اجت من ايش
+
+76
+00:06:54,250 --> 00:06:59,710
+هل اجت من هنا ولا اجت من هنا اجت من الخمسة والعشرة
+
+77
+00:06:59,710 --> 00:07:05,510
+يبقى انا عمليا اضفت القطعة هدى تمام؟ الان لو انا
+
+78
+00:07:05,510 --> 00:07:09,290
+قبل ما اضيفها الخمس عشر هدى بتكون خمسة اول خمسة
+
+79
+00:07:09,290 --> 00:07:15,360
+عندى هنا صح؟الخمسة هذه أجت من وين؟ هل أجت من هذا؟
+
+80
+00:07:15,360 --> 00:07:20,540
+أو هل أجت من المقارنة؟ او هل أجت من المقارنة؟ يبقى
+
+81
+00:07:20,540 --> 00:07:27,500
+العنصر الـ coin هذه الخمسة فدول التلاتة coins اللي
+
+82
+00:07:27,500 --> 00:07:36,360
+بيشكلولي المجموعة 17 عملتها
+
+83
+00:07:36,360 --> 00:07:40,640
+backtracking بإن أطرح أشوف أخر coin ممكن تكون اللي
+
+84
+00:07:40,640 --> 00:07:45,830
+أضيفتبسجلها و بحطها في المجموعة و بعدين بقول لو
+
+85
+00:07:45,830 --> 00:07:48,830
+أنا شيلت هذه ال coin شيلت قيمتها من المجموعة
+
+86
+00:07:48,830 --> 00:07:51,730
+الجمالية من ال 17 ماكنتش بضايق بضايق ال 15 ال 15
+
+87
+00:07:51,730 --> 00:07:56,170
+هذه من وين بقول و من وين انا حصلت عليها حصلت عليها
+
+88
+00:07:56,170 --> 00:07:58,750
+واحد من اتنين يا اما من هنا يا اما من المجموعة
+
+89
+00:07:58,750 --> 00:08:01,490
+دولة هو المجموعة دولة المجموعة دولة أجا بإضافة
+
+90
+00:08:01,490 --> 00:08:04,790
+عشرة إلى المجموعة السابقة عشرة انضافة تبقى بدأ
+
+91
+00:08:04,790 --> 00:08:11,950
+نزلها على المجموعة تمامنزلتها الان بشيلها من
+
+92
+00:08:11,950 --> 00:08:16,290
+الخمستاش بيبقى الخمسة الخمسة هذه من وين أجت من
+
+93
+00:08:16,290 --> 00:08:24,530
+الخمسة هذه اللي هي أول عنصر بيكون انضاف تمام فهي
+
+94
+00:08:24,530 --> 00:08:28,730
+ال total ال maximum أمام سبعتاش ال coins اللي هيتم
+
+95
+00:08:28,730 --> 00:08:32,150
+اختيارها الأتنين والعشرة والخمسة ال time
+
+96
+00:08:32,150 --> 00:08:35,130
+efficiency ال time efficiency زي ما قولنا قبل هيك
+
+97
+00:08:35,130 --> 00:08:41,770
+أنه احنا ال algorithm بتمر على الالأرايه دي F
+
+98
+00:08:41,770 --> 00:08:49,230
+بتعبي الخلية اللي فيها طبعا ان كل خلية بتقعد تحسب
+
+99
+00:08:49,230 --> 00:08:52,270
+و تقارن بس هذي عبارة عن هي ال basic operations
+
+100
+00:08:52,270 --> 00:08:56,470
+قولنا المهم أكم مرة بتكرر بتكرر number N من المرات
+
+101
+00:08:56,470 --> 00:09:01,930
+عدد N من المرات مافي minimum best case و worst
+
+102
+00:09:01,930 --> 00:09:07,220
+caseالـ N فيها Big Theta الـ N بالنسبة لـ Space
+
+103
+00:09:07,220 --> 00:09:10,700
+Efficiency برضه Big Theta of N لأن هو هذه الـ
+
+104
+00:09:10,700 --> 00:09:16,580
+Array اللي أنا بحتاجها أطولها يعتمد على N تمام،
+
+105
+00:09:16,580 --> 00:09:21,960
+لذلك احنا بنكون شوفنا تلات examples لاستخدام ال
+
+106
+00:09:21,960 --> 00:09:27,860
+Dynamic Programming Strategy في التعامل مع التلات
+
+107
+00:09:27,860 --> 00:09:33,580
+مسائل هدولةأساس الـ Dynamic Programming Strategy
+
+108
+00:09:33,580 --> 00:09:39,600
+هو إن أنا في الأصل أعمل formulation for recurrence
+
+109
+00:09:39,600 --> 00:09:49,520
+إن أنا أصف ال solution النهائي على أساس إنه خطوة
+
+110
+00:09:51,400 --> 00:09:56,780
+تالي ال solutions ال sub solutions okay هدولة two
+
+111
+00:09:56,780 --> 00:10:02,840
+sub solutions على أساسهم أنا بقى أصل إلى ال
+
+112
+00:10:02,840 --> 00:10:06,800
+solution هذه يعني أنا بدي أصل ل F of N طب F of N
+
+113
+00:10:06,800 --> 00:10:13,800
+هذه من وين بتيجي؟ بتيجي من هنا في الحالة هذه
+
+114
+00:10:13,800 --> 00:10:19,200
+اختيار ما بين F of N ناقص واحد او هذا المجموع بشوف
+
+115
+00:10:19,200 --> 00:10:20,060
+ايش ال maximum
+
+116
+00:10:23,230 --> 00:10:25,510
+هذا في ال .. في ال example الأولاني، فال example
+
+117
+00:10:25,510 --> 00:10:29,050
+التاني اللي هو كان إيش؟ اللي هو change making، إنه
+
+118
+00:10:29,050 --> 00:10:33,790
+عندي مبلغ و بدأ أفكه، بدي أتقطع، فبرضه كانت ال
+
+119
+00:10:33,790 --> 00:10:43,040
+formulation هنا إنه أنابدأ اشوف لو انا عندي المبلغ
+
+120
+00:10:43,040 --> 00:10:46,280
+هذا ناقص القطع، عندي هد .. عندي انا لو انا واصل
+
+121
+00:10:46,280 --> 00:10:51,400
+لمرحلة، وفاكد ان عندي مبلغ اقل من المبلغ اللي انا
+
+122
+00:10:51,400 --> 00:10:59,600
+بدي اصل اليه؟بدي اكمل و اضيف اي قطعة تجي من واحدة
+
+123
+00:10:59,600 --> 00:11:02,880
+من التلات قطع او الاربع قطع او المجموعة الموجودة
+
+124
+00:11:02,880 --> 00:11:09,820
+معايا في المثال فابد اشوف هذا المجموعة ال N ناقص
+
+125
+00:11:09,820 --> 00:11:14,500
+القطعة الأولىهذا الكلام كده افضل solution له و
+
+126
+00:11:14,500 --> 00:11:17,580
+بضيف عليه واحد افضل solution للي بعده و بضيف واحد
+
+127
+00:11:17,580 --> 00:11:19,920
+افضل solution للي بعده و بضيف واحد لان بشوف
+
+128
+00:11:19,920 --> 00:11:23,760
+التلاتة او المجموعة من الافضل solutions دولة مين
+
+129
+00:11:23,760 --> 00:11:27,520
+افضل واحد منهم و هو اللي بياخده في الجدول هنا احنا
+
+130
+00:11:27,520 --> 00:11:33,840
+كنا لما بنيجي نعبي القيمة اللي هنابنعبيه على أساس
+
+131
+00:11:33,840 --> 00:11:39,760
+أنه ال .. هذا .. هذا أقبل الاتنين الواحد الواحد
+
+132
+00:11:39,760 --> 00:11:45,480
+هادي أنا .. أنا عندي n بتسوى واحد لأن n بتسوى واحد
+
+133
+00:11:45,480 --> 00:11:49,400
+يعني واحد ناقص جديش القطع اللي احنا كانوا واحد و
+
+134
+00:11:49,400 --> 00:11:55,420
+تلاتة واربعة ال coinsلو انا بدى اشيل من ال total
+
+135
+00:11:55,420 --> 00:11:59,560
+من ال N اللى هى واحد اشيل منها القطعة الاولى بيظهر
+
+136
+00:11:59,560 --> 00:12:07,520
+اندي صفر كده كان افضل حل لل F of صفر؟ اه كان صفر
+
+137
+00:12:07,520 --> 00:12:12,000
+الان بضيف عليه واحد بيظهر اندي واحدهنا لأن N
+
+138
+00:12:12,000 --> 00:12:16,860
+بيساوي واحد مارضي انا اكمل نفس الشيء للتلاتة
+
+139
+00:12:16,860 --> 00:12:20,020
+والاربعة لأنه بيصير واحد ناقص ثلاثة واحد ناقص
+
+140
+00:12:20,020 --> 00:12:24,620
+أربعة سالب انما هنا هياته عملنا هذا الكلام لما
+
+141
+00:12:24,620 --> 00:12:28,680
+كانت N بتساوي أربعة واحنا أخدنا أربعة ناقص واحد
+
+142
+00:12:28,680 --> 00:12:32,200
+أربعة ناقص أربعة ناقص ثلاثة أربعة ناقص أربعة
+
+143
+00:12:38,730 --> 00:12:49,390
+شوفنا كل واحد من هدولة ال F تبعتها جداش F3 و F1 و
+
+144
+00:12:49,390 --> 00:12:56,210
+F0 أكبر قيمة لهم أكبر قيمة فيهم اللي هي الواحد أقل
+
+145
+00:12:56,210 --> 00:13:01,570
+قيمة فيهم وضفنا عليها واحد طالع واحد
+
+146
+00:13:05,500 --> 00:13:08,260
+أحنا هنا بناخد الـMinimum وليس الـMaximum لأن
+
+147
+00:13:08,260 --> 00:13:14,260
+أهدافنا أقل عدد ممكن من قطع الـCoin نفس الأشياء
+
+148
+00:13:14,260 --> 00:13:20,740
+هذا سوناها و هنا و هنا على N5 و N6 طيب فال
+
+149
+00:13:20,740 --> 00:13:25,400
+formulation هذه اللي هي السند إليها في الشغل هي
+
+150
+00:13:25,400 --> 00:13:31,480
+الأساس كيف أنا بصيغ ال formulation هذا بعد كتابة
+
+151
+00:13:31,480 --> 00:13:33,060
+الجدول بيصير عملية حسابية
+
+152
+00:13:36,110 --> 00:13:39,770
+في الـ Problem التالتة اللي هي ال .. ال .. ال coin
+
+153
+00:13:39,770 --> 00:13:43,230
+.. اللي أسف ال .. ال robot اللي بدي لفه على عينة
+
+154
+00:13:43,230 --> 00:13:50,050
+من ال coin collecting كانت ربما الصيغة
+
+155
+00:13:50,050 --> 00:13:55,930
+تبعتها مبادئ الشراء أنه أنا بدي أصل إلى المربح هذا
+
+156
+00:13:55,930 --> 00:13:59,730
+و بدي أشوف إيش أكبر عدد ممكن من القطع اللي ممكن
+
+157
+00:13:59,730 --> 00:14:06,450
+أجمعها لما أصل إليهوكان المثلة حصرة لحركة الروبوت
+
+158
+00:14:06,450 --> 00:14:12,330
+بإنه يا أما بنزل تحت خط و يا أما بيروح يمين فلما
+
+159
+00:14:12,330 --> 00:14:15,650
+أنا بكون على أي خلية معلوم إنه أنا إما بكون جيت من
+
+160
+00:14:15,650 --> 00:14:21,770
+هنا أو جيت من هنا فصارت ال recurrence واضحة إنه
+
+161
+00:14:21,770 --> 00:14:27,150
+بدي أخد ال maximum ما بين هدول الخيارين وطبعا أضيف
+
+162
+00:14:27,150 --> 00:14:30,530
+عليه اللي هو قيمة الخلية نفسها هل هي فيها coin ولا
+
+163
+00:14:30,530 --> 00:14:40,090
+لأOkay وعبّنى الجدول على هذا الأساس بعدها المسار
+
+164
+00:14:40,090 --> 00:14:46,310
+برجع نزول يعنى أربع خمسة خمسة أجت من الخمسة هذه
+
+165
+00:14:46,310 --> 00:14:49,390
+الخمسة هذه أجت من الأربع الأربع هذه أجت من التلاتة
+
+166
+00:14:49,390 --> 00:14:54,650
+التلاتة هذه أجت من التلاتة التلاتة طبعا بقارن بين
+
+167
+00:14:54,650 --> 00:15:00,190
+الخليتين اللي ممكن أجا منها مظبوط و بعطينى المسار
+
+168
+00:15:00,550 --> 00:15:06,110
+طيب الان اليوم ان شاء الله نشوف مثال اخر هذا ال
+
+169
+00:15:06,110 --> 00:15:10,950
+section تمانية واحد ماحكيناش انه ايش المسائل اللي
+
+170
+00:15:10,950 --> 00:15:18,110
+بدنا اياها منها بدنا اتنين زي ده اربعة okay سلموهم
+
+171
+00:15:18,110 --> 00:15:23,390
+المحاضرة اللي جاي ان شاء الله الواحدة تمانية هدولة
+
+172
+00:15:23,390 --> 00:15:29,770
+التدريب للامتحانتمام الان ال section 82 ال problem
+
+173
+00:15:29,770 --> 00:15:37,250
+تماما النبسك اللى شوفناها قبل هيكا ذاكرين
+
+174
+00:15:37,250 --> 00:15:42,730
+اما شوفناها في كانت شوفناها brute force اه ايش كنا
+
+175
+00:15:42,730 --> 00:15:46,230
+النبسك اصلا المشكلة المسألة ايش هي ان انا عندي
+
+176
+00:15:46,230 --> 00:15:52,750
+حقيبة ال capacity الوزن اللى اقصى إليها W W جول
+
+177
+00:15:52,750 --> 00:15:56,030
+مثلا هه هى مثال عشان نذكركوا في القمر
+
+178
+00:16:04,630 --> 00:16:10,590
+أنا بدي تشكيلة من ال items اللي وزنهم مايزيد عن
+
+179
+00:16:10,590 --> 00:16:15,750
+خمسةو في نفس الـ Logitech جائش أكبر قيمة عملناها
+
+180
+00:16:15,750 --> 00:16:19,830
+بالـ brute force عملناها انه عملنا كافة ال subsets
+
+181
+00:16:19,830 --> 00:16:24,410
+او ال permutation صح و هدى و شوفنا مين اللي و
+
+182
+00:16:24,410 --> 00:16:32,470
+رتبناهم عشان نشوف مين وين ال .. رتبناهم حسب ال
+
+183
+00:16:32,470 --> 00:16:37,750
+values و بعدين شوفنا أول واحد بالوزن تبعه بيتجاوز
+
+184
+00:16:37,750 --> 00:16:45,980
+الخمسة و أخدناه okayبتجاوز الـ W يعني واخدنا لأن
+
+185
+00:16:45,980 --> 00:16:49,480
+لو احنا بدنا نعملها هذه بالـ Dynamic Programming
+
+186
+00:16:49,480 --> 00:16:56,460
+okay بدنا أول إشي نعمل صياغة للـ Recurrence خليني
+
+187
+00:16:56,460 --> 00:17:03,280
+نرجع لوراق okay قبل ال Recurrence عشان برضه توضح
+
+188
+00:17:03,280 --> 00:17:06,680
+لنا خليني نطلع على الجدول هذه الجدول هذه هي
+
+189
+00:17:06,680 --> 00:17:11,840
+العناصرالمفروض الجدول هذا أنا ماوريكوش فيه القيام
+
+190
+00:17:11,840 --> 00:17:19,740
+بس لأنه الآن بدنا بس نطلع على صياغة الجدول عندي
+
+191
+00:17:19,740 --> 00:17:27,560
+هنا كل عمود يمثل اللي هي فيها الكبسة خمسة و بكون
+
+192
+00:17:27,560 --> 00:17:34,640
+فحصت كافة العناصر الأربعة اللي عندي و تم تحديد من
+
+193
+00:17:34,640 --> 00:17:42,550
+الأربعة دولة إيش أفضل ما يمكن جمعهالان ال .. ال ..
+
+194
+00:17:42,550 --> 00:17:46,050
+ال items واحد اتنين تلاتة اربعة زي ما قلنا كل واحد
+
+195
+00:17:46,050 --> 00:17:56,770
+إله وزن وإله value okay هذا wi و هذا vi يعني value
+
+196
+00:17:56,770 --> 00:17:58,530
+تبع العنصر okay
+
+197
+00:18:05,600 --> 00:18:11,540
+الخلية الواحدة في هذا الجدول، قولي مثلا هذه القيمة
+
+198
+00:18:11,540 --> 00:18:19,120
+المسجلة فيها هي ال total value اللي يمكن الحصول
+
+199
+00:18:19,120 --> 00:18:28,100
+عليها لو كانت ال bag السعة تبعتها فقط اتنينالجدول
+
+200
+00:18:28,100 --> 00:18:34,400
+يتدرج في السعة السعة 1 كيلو 1 كيلو 2 كيلو 3 كيلو 4
+
+201
+00:18:34,400 --> 00:18:40,280
+كيلو 5 كيلو فلو عندي السعة الإجمالية فقط اتنين
+
+202
+00:18:40,280 --> 00:18:45,140
+وعندي بس item واحد كل اللي امامي مطروح اختار منه
+
+203
+00:18:45,140 --> 00:18:50,860
+item واحد فقط و ال item هذا هو هذا وزنه اتنين كيلو
+
+204
+00:18:50,860 --> 00:18:59,450
+و value تبعه اتناشرمن الطبيعي أن الشنطة تستعمل
+
+205
+00:18:59,450 --> 00:19:03,330
+على هذا العنصر وبالتالي ال value اللي حصلت عليه هو
+
+206
+00:19:03,330 --> 00:19:10,570
+12 وهذا ال best value هو أصلا ماعنديش غير item
+
+207
+00:19:10,570 --> 00:19:11,090
+واحد
+
+208
+00:19:16,880 --> 00:19:23,100
+الـ Value لسه محصور بشنطة الكباسيط تبعها تلت نين
+
+209
+00:19:23,100 --> 00:19:31,760
+كيلو بس أنا مطرح عليا تلت عناصر ولكن ومع ذلك من
+
+210
+00:19:31,760 --> 00:19:38,080
+التلت عناصر ده اللي مش هقدر أختار إلا العنصر واحد
+
+211
+00:19:38,080 --> 00:19:44,090
+اللي هو هذا العنصر اللي Value تبعه 12 ليش؟لأن
+
+212
+00:19:44,090 --> 00:19:49,070
+العصر التالت الكمات السابعة و التلاتة أكتر من طاقة
+
+213
+00:19:49,070 --> 00:19:55,980
+الحقيبة، العصر التاني الوزن تبقى واحديعني ايوة مش
+
+214
+00:19:55,980 --> 00:20:00,940
+best value يعني صح في وسع بقى في الشنطة لكن هو ..
+
+215
+00:20:00,940 --> 00:20:04,680
+ماهم اخد ال value تبقى عشرة لو انا بدأ اضيف واحد
+
+216
+00:20:04,680 --> 00:20:07,740
+تاني معاه مش هيضل بس لأن هو واحد والتانين اتنين
+
+217
+00:20:07,740 --> 00:20:12,220
+اكبر بال .. بالسيرة اللى فأفضل خيار ما بين التلاتة
+
+218
+00:20:12,220 --> 00:20:16,440
+هدولة هو الهنصر هذا و ال value تبقى اتناش طيب هنا
+
+219
+00:20:16,440 --> 00:20:21,600
+الخمستاش هدى خمستاش هدى دخلنا الأربعة في الموضوع
+
+220
+00:20:21,600 --> 00:20:30,290
+ولكن كباسة لسه اتنينبس لسه اتنين الاربع وزنه زي
+
+221
+00:20:30,290 --> 00:20:35,450
+وزن الاولاني لكن ال value تبقى 15 فمن الطبيعي انه
+
+222
+00:20:35,450 --> 00:20:40,490
+هو اللي ينحط ال 15 بتجلي ال value بس بتجليش من
+
+223
+00:20:40,490 --> 00:20:45,450
+العنصر اللي هيكون .. او تشكيلة العناص قد تكون ال
+
+224
+00:20:45,450 --> 00:20:51,470
+15 جاي من اتنينيعني مثلا هنا ال 22 هذه خلينا نجرب
+
+225
+00:20:51,470 --> 00:20:57,610
+ال 22 هذه ال 22 هذه الشنطة موصينها احنا تلاتة كيلو
+
+226
+00:20:57,610 --> 00:21:06,190
+okay وبنحكي عن اول تلاتة عناصر لولا نيت ماشي تلاتة
+
+227
+00:21:06,190 --> 00:21:12,880
+كيلو انا ايش حاططمن أين سيأتي الـ22؟ سيأتي من
+
+228
+00:21:12,880 --> 00:21:18,740
+العصر الأول والثاني وزنهم مع بعض تلاتة ومجمال
+
+229
+00:21:18,740 --> 00:21:22,400
+الفئة الواحدة من الـ22 كان ممكن أضع هذا لحاله وزنه
+
+230
+00:21:22,400 --> 00:21:24,920
+تلاتة يعني في وساعة كافية لكن الفئة الواحدة من
+
+231
+00:21:24,920 --> 00:21:30,300
+الـ24 فالـ22 هذه بتقولي الـbest value اللي ممكن
+
+232
+00:21:30,300 --> 00:21:36,790
+أحصل عليه في هذه الوضعية خليني أتعبر عن وضعلكنها
+
+233
+00:21:36,790 --> 00:21:40,930
+لا تقول من أين هذا الـ Value يأتي، هل يأتي من عنصر
+
+234
+00:21:40,930 --> 00:21:43,950
+واحد أو من تشكيله من عناصر وإذا تشكيله من مين هم،
+
+235
+00:21:43,950 --> 00:21:48,210
+هذا نستطيع أن نجلبه بالـ Backtracking. لكن أنا
+
+236
+00:21:48,210 --> 00:21:53,210
+الآن صورح أنني أريد أن أصل إلى هذه الخلية التي هي
+
+237
+00:21:53,210 --> 00:22:00,180
+بيكون أنابحكي عن حقيبة الساعة بتاع خمسة كيلو و
+
+238
+00:22:00,180 --> 00:22:07,280
+بكون أنا مطروح أمامي الاربع عناصر كلهم نظرت إليهم
+
+239
+00:22:07,280 --> 00:22:11,240
+و اخترت منهم هذا ال best value من وين بده يجيه؟
+
+240
+00:22:11,240 --> 00:22:15,670
+بده أشوف علاقة نابينهو مابين ال values السابقة
+
+241
+00:22:15,670 --> 00:22:19,790
+لإيه لإنه بتتذكر في ال dynamic programming الهدف
+
+242
+00:22:19,790 --> 00:22:23,730
+تبعناه goal نهائي goal هذا بصله من خلال sub goals
+
+243
+00:22:23,730 --> 00:22:28,410
+بكون هدول عمليا هم عبارة عن solutions ل sub goals
+
+244
+00:22:28,410 --> 00:22:33,510
+ل all كل ال sub goals اللي انا ممكن اللي ممكن
+
+245
+00:22:33,510 --> 00:22:37,030
+توصلني الى اللي ممكن ابني عليها يعني وصولا ال goal
+
+246
+00:22:37,030 --> 00:22:40,670
+النهائي خلينا نشوف ايش ال recurrence اللي هنا
+
+247
+00:22:43,670 --> 00:22:51,550
+لما نكون هنا مثلا على الـ 37 سبعة تلاتينقبل أن أصل
+
+248
+00:22:51,550 --> 00:22:56,070
+الروحة ده .. إيش يعني .. قبل أن أضيف العنصر الرابع
+
+249
+00:22:56,070 --> 00:23:02,650
+كان عندي وضع معين مااخد أنا تشكيلة من .. ماعرفش ..
+
+250
+00:23:02,650 --> 00:23:07,090
+قد تكون كلهم أو واحدة أو تنتين من التلات عناصر
+
+251
+00:23:07,090 --> 00:23:12,230
+السابقة هذا التشكيلة .. هذا الرقم 32 بيقول لي أن
+
+252
+00:23:12,230 --> 00:23:16,990
+أفضل قيمة ممكن أحصل عليها من التلات الأولانين هي
+
+253
+00:23:16,990 --> 00:23:17,470
+32
+
+254
+00:23:21,710 --> 00:23:28,950
+الرابع هذا وزنه اتنين كيلو فاول سؤال بدنا نسأله هل
+
+255
+00:23:28,950 --> 00:23:38,250
+اتنين كيلو هذه بدها لو انا اضفت الرابع على
+
+256
+00:23:38,250 --> 00:23:44,730
+المجموعة المشكلة الاتنين و تلاتين هذهلو أنا ضيفته،
+
+257
+00:23:44,730 --> 00:23:50,710
+هل هيزيد على الخمسة، الاتنين هذه، هل لما أضيفها
+
+258
+00:23:50,710 --> 00:23:52,970
+على المجموعة، هذا .. هذا ال value تبقى للمجموعة،
+
+259
+00:23:52,970 --> 00:23:59,070
+بس مش الوزن تبعهم، صح؟ okay؟ مش الوزن تبعهم، ولا
+
+260
+00:23:59,070 --> 00:24:05,630
+هذا الوزن تبعهم، هذا الطاقة الإجمالية للحقيبة قد
+
+261
+00:24:05,630 --> 00:24:10,950
+يكون اتنين وتلاتين هذه، وهي عملياً جاية من مين؟ من
+
+262
+00:24:10,950 --> 00:24:18,070
+اتناشرين، صح؟هيئة وزنهم خمسة، يعني مسكر الحقيبة،
+
+263
+00:24:18,070 --> 00:24:21,550
+مافي مجال أضيف أي إشي، وقد يكون لأ، قد يكون اتنين
+
+264
+00:24:21,550 --> 00:24:25,790
+و تلاتين هذه، يعني مثلا التلاتين هذه جاي هنا من
+
+265
+00:24:25,790 --> 00:24:31,130
+إيش؟ من العشرين وعشرة،
+
+266
+00:24:31,130 --> 00:24:34,890
+اللي هو أربعة، هنا برضه الأربعة مجفلة لها، المهم
+
+267
+00:24:34,890 --> 00:24:39,550
+قد يكون الوزن تبع هدول الغناصر مجفل الشنطة وقد
+
+268
+00:24:39,550 --> 00:24:44,900
+يكون لسه في وسعفالسؤال هو هل في وسع أضيف الأربعة
+
+269
+00:24:44,900 --> 00:24:53,880
+أنا الآن هذا أفضل هذا F of I ناقص واحد J هل هذا في
+
+270
+00:24:53,880 --> 00:25:00,720
+وسع أنه أضيف العصر الرابع ولا مافيش وسع إذا في وسع
+
+271
+00:25:00,720 --> 00:25:05,780
+و بدأ أضيفه هل ال value اللي هحصل عليه لما أضيفه
+
+272
+00:25:05,780 --> 00:25:13,910
+أكبر منهواللي هو لسه أكبر إذا هو لسه أكبر معناته
+
+273
+00:25:13,910 --> 00:25:19,510
+اللي باخده هو إذا أنا ما أضيف معناته
+
+274
+00:25:19,510 --> 00:25:30,530
+بدي أخد بعد الإضافة okay طيب يبقى أنا أول إشي بدي
+
+275
+00:25:30,530 --> 00:25:35,290
+أجي أول حاجة بدي أسألها قبل حتى كمل هذا الكلام
+
+276
+00:25:35,290 --> 00:25:40,830
+لربما يكون ال W الوزن الرابح هذا الوزن تبعهالوزن
+
+277
+00:25:40,830 --> 00:25:47,970
+تبعه أكبر من ساعة الشنطة كلها يعني مثلا التلاتة لو
+
+278
+00:25:47,970 --> 00:25:54,130
+أنا بحكي هنا أه و قاعد بقى أقول التلاتة أضيف ولا
+
+279
+00:25:54,130 --> 00:25:57,230
+ماضفوش طب التلاتة أكبر من ساعة الشنطة في هذه
+
+280
+00:25:57,230 --> 00:26:02,090
+اللحظة يبقى أصلا مابضفوش باخد ال value اللي فوق زي
+
+281
+00:26:02,090 --> 00:26:06,090
+ما هو ايش ال value اللي فوق هذا؟هذا الـ Value تبع
+
+282
+00:26:06,090 --> 00:26:11,270
+التشكيلة السابقة قبل إضافة الـ .. و أنا لجأت إنه
+
+283
+00:26:11,270 --> 00:26:14,550
+أصلا هو ما بقدر أضيفه يبقى باخدها زي ما هي Okay
+
+284
+00:26:14,550 --> 00:26:17,630
+فأول .. أول خيار .. أول سؤال بدي نسأله هو هل
+
+285
+00:26:17,630 --> 00:26:21,230
+الهنصر الجديد اللي أنا واقف و بتسأل أضيفه ولا ما
+
+286
+00:26:21,230 --> 00:26:25,370
+أضيفوش وزنه أكبر من J كلها J اللي هو العمود اللي
+
+287
+00:26:25,370 --> 00:26:28,650
+أنا واقف فيه ولا لا إذا أكبر يبقى ما بأضيفوش و
+
+288
+00:26:28,650 --> 00:26:34,550
+تلقائيا باخد الخلية اللي فوقهذه هي أول عنصر أو
+
+289
+00:26:34,550 --> 00:26:44,070
+باند في الـ Formulation هذا
+
+290
+00:26:44,070 --> 00:26:49,750
+ال comparison ممكن تشوفيه على أنها إزاي هيكةنشيلنا
+
+291
+00:26:49,750 --> 00:26:54,730
+الـ I الـ WI على اليمين صح؟ إذا J أصغر من WI، إيش
+
+292
+00:26:54,730 --> 00:26:57,590
+يعني J أصغر من WI؟ يعني أنصر I هذا اللي أنا بدأ
+
+293
+00:26:57,590 --> 00:27:02,210
+أضيفه الـ W تبعته، الوزن تبعه أكبر من الطاقة
+
+294
+00:27:02,210 --> 00:27:08,110
+الإجمالية للشنطة في هذه اللحظة ففي هذه الحالة باخد
+
+295
+00:27:08,110 --> 00:27:12,870
+مين؟ باخد القيمة اللي فوق على طول، نفس الأمود،
+
+296
+00:27:12,870 --> 00:27:16,710
+الخلية اللي جابلة، السطر اللي جابلةOkay الآن إذا
+
+297
+00:27:16,710 --> 00:27:21,670
+مش أكبر يعني ربما أقدر أضيف و ربما ماجدرش واحد من
+
+298
+00:27:21,670 --> 00:27:28,770
+اتنين يا إما بشوف هذا الانصار ال value تبعه هذا
+
+299
+00:27:28,770 --> 00:27:33,030
+الانصار I ال value تبعه لو أنا ضفته نفترض أنا على
+
+300
+00:27:33,030 --> 00:27:37,970
+الرابع I بسوء أربعة الانصار الرابع ال value تبعه
+
+301
+00:27:37,970 --> 00:27:43,550
+لو أنا ضفته هيعطيني زيادة على اللي موجود ولا اللي
+
+302
+00:27:43,550 --> 00:27:48,440
+موجود أحسنأيش الموجود قلنا هو نفسه هذا شايفة هذه
+
+303
+00:27:48,440 --> 00:27:53,120
+ال F هي نفسها فانا بشوف هنا اي اي ال comparison ما
+
+304
+00:27:53,120 --> 00:27:56,460
+بين هذا القيمة و ما بين هذا الكلام هذا الكلام اللي
+
+305
+00:27:56,460 --> 00:28:00,780
+هو ما تم وصوله اليه حتى الآن اللي هو F of I نقص
+
+306
+00:28:00,780 --> 00:28:06,320
+واحد على نفس العمود ماشي هذا ايش هذا هيبقى هذا و
+
+307
+00:28:06,320 --> 00:28:10,520
+انا بتضيفي ال I ال value تبعه هيبقى احسن من هذا ال
+
+308
+00:28:10,520 --> 00:28:14,860
+value تبعه على اللي موجود حاليا احسن من هذا ولا
+
+309
+00:28:16,360 --> 00:28:22,440
+خلّي بالك إن أنا الـ I هذا لما بضيفه بدي
+
+310
+00:28:22,440 --> 00:28:27,980
+أضيفه .. بدي أتخيل إنه أنا .. إن هو مش موجود لو ..
+
+311
+00:28:27,980 --> 00:28:31,100
+لو .. أه؟ إنه يعني بدي أروح أقول .. أروح ألعبه J
+
+312
+00:28:31,100 --> 00:28:39,260
+ناقص Wi يعني مابروح بضيف ال value على ال value تبع
+
+313
+00:28:39,260 --> 00:28:44,920
+J اللي هو ال 4 على طول هتبع نشوف هيك
+
+314
+00:28:49,620 --> 00:28:55,340
+بالجدولة لو انا الآن هنا و بدى اقارن اشوف هل ال
+
+315
+00:28:55,340 --> 00:29:03,960
+value السابق اكبر ولا لو اضافت انا ال item اضيف ال
+
+316
+00:29:03,960 --> 00:29:07,700
+item على مين؟ اضيف ال item على هذا؟ هذا انا لو بدى
+
+317
+00:29:07,700 --> 00:29:13,160
+اضيفهغالبا هتجاوز يعني الوزن تبعه تلاتة لما نضاف
+
+318
+00:29:13,160 --> 00:29:18,240
+على الوزن تبعه دوله غالبا هيزيد عن التلاتة فانا
+
+319
+00:29:18,240 --> 00:29:25,500
+لازم ارجع على العمود اللي بقدر اضيف عليه العمود
+
+320
+00:29:25,500 --> 00:29:32,920
+اللي بقدر اضيف عليه ايش يعني يعني J ناقص W تلاتة J
+
+321
+00:29:32,920 --> 00:29:36,600
+ناقص W تلاتة فبدي ارجع اشوف وين الخلية انا الآن
+
+322
+00:29:36,600 --> 00:29:41,580
+على تلاتةإذا كنت أريد أن أضيف هذا الوزن وين كان
+
+323
+00:29:41,580 --> 00:29:45,100
+ممكن أن أضيفها؟ أضيفها عندما يكون الوزن هنا Zero
+
+324
+00:29:45,100 --> 00:29:49,820
+لأن هذه ثلاثة لا أستطيع أن أضيفها عندما يكون الوزن
+
+325
+00:29:49,820 --> 00:29:54,920
+الإجمالي واحد ثلاثة زي واحد تصبح أربعة تصبح برا
+
+326
+00:29:54,920 --> 00:30:00,520
+الحد المسموح الآن فأنا لازم أرجع على وين كان ممكن
+
+327
+00:30:00,520 --> 00:30:04,860
+أضيفها و أشوف ال total value هذا أكبر من
+
+328
+00:30:07,710 --> 00:30:13,890
+الـ 22 هذه و لا هي الأكبر طيب نرجع .. نطلع على
+
+329
+00:30:13,890 --> 00:30:18,530
+الجدول هذا بالترتيب خطوة خطوة و بعدين نرجع تاني
+
+330
+00:30:18,530 --> 00:30:23,770
+على ال recurrence عشان برضه نستوعبها أول حاجة أنه
+
+331
+00:30:23,770 --> 00:30:27,790
+السطر الأول و العمود الأول هذا كله zeros ليش كله
+
+332
+00:30:27,790 --> 00:30:31,130
+zeros؟ حد بيقدر يقول لي ليش كله zeros؟ اذاكر إن
+
+333
+00:30:31,130 --> 00:30:35,030
+هذه capacities و هذه عناصر السطر الأول بيقول ليه
+
+334
+00:30:35,030 --> 00:30:40,200
+ليش عناصر أصلايبقى مافي قيم، مازال مافيش items،
+
+335
+00:30:40,200 --> 00:30:44,560
+مافيش values بغض النظر عن جدش أنا بوسع في الحقيبة
+
+336
+00:30:44,560 --> 00:30:51,520
+العمود الأول بيقوللي ال value total W بساوي Zero
+
+337
+00:30:51,520 --> 00:30:57,580
+الحقيبة نفس اللي عندي جيه الحقيبة اللي عندك
+
+338
+00:30:57,580 --> 00:31:01,760
+مابتسعش لاقشي يبقى بغض النظر عن جدش أنت بتحطلي على
+
+339
+00:31:01,760 --> 00:31:05,020
+الطاولة عناصر يبقى ال total value اللي أنا بقدر
+
+340
+00:31:05,020 --> 00:31:12,230
+أحطه Zeroالان بعد هيكة واحد مع واحد واحد مع واحد
+
+341
+00:31:12,230 --> 00:31:16,150
+معناته انه عندك حقيبة الكبسيط تبعتها واحد وعندك
+
+342
+00:31:16,150 --> 00:31:21,210
+item واحد طيب ايش ال item هذا وزنه اتنين طب انت
+
+343
+00:31:21,210 --> 00:31:25,450
+حاصرني بواحد يبقى مابقدرش اضيف اي شيء يبقى zero ان
+
+344
+00:31:25,450 --> 00:31:32,850
+نكمل كل سطر بسطر الان هنا الاتنين اتناشعندي ال
+
+345
+00:31:32,850 --> 00:31:36,450
+total capacity اتنين و ال value و ال items عادل ال
+
+346
+00:31:36,450 --> 00:31:41,970
+items واحد كله من هنا عادل ال items واحد اقارن
+
+347
+00:31:41,970 --> 00:31:48,590
+هذا ال value أولا السؤال الأولاني هل الوزن ال J
+
+348
+00:31:48,590 --> 00:31:56,770
+أكبر من WI و WI يعني W واحد او اتنين هل هي اكبر من
+
+349
+00:31:56,770 --> 00:32:04,130
+اتنين اكبر من 87 نعمنعم يبقى بدي أعمل المقارنة أما
+
+350
+00:32:04,130 --> 00:32:09,410
+إذا الوزن هذا أكبر من ال J بعملش مقارنة و باخد ال
+
+351
+00:32:09,410 --> 00:32:13,190
+value هذا زي ما هو و بنزله الآن ال 12 هذا قلنا بدي
+
+352
+00:32:13,190 --> 00:32:16,090
+أعمل مقارنة ما بين مين و مين ما بين هذا ال value
+
+353
+00:32:16,090 --> 00:32:24,030
+ال zero و ما بين لو أنا ال J بيساوي 2 لو أنا بدي
+
+354
+00:32:24,030 --> 00:32:27,990
+أضيف ال 2 بدي أضيف ال item هذا اللي هو وزن 2 بدرجة
+
+355
+00:32:29,200 --> 00:32:37,820
+ج ناقص اتنين Zero كمان قداش كان افضل value قبل ما
+
+356
+00:32:37,820 --> 00:32:42,400
+نضيف ال I اللي هو ال Zero Zero الآن زاد اتناش
+
+357
+00:32:42,400 --> 00:32:50,540
+اتناش اللي هي ايش W1 اه V1 بسوء اتناش اتناش مقارنة
+
+358
+00:32:50,540 --> 00:32:57,290
+بمين بال Zero الاتناش فبنسجل الاتناشOkay؟ كرر هذا
+
+359
+00:32:57,290 --> 00:33:01,350
+الكلام الان هنا الان هنا دعوني أمسح اللوح كل مرة
+
+360
+00:33:01,350 --> 00:33:07,070
+عشان أنت الأرقام ماتشاوش عليكوا 12
+
+361
+00:33:07,070 --> 00:33:11,470
+يعني قبل ما أنظفها بدها تيجي أولا السؤال الأولاني
+
+362
+00:33:11,470 --> 00:33:13,690
+هل ال capacity اللي عندي
+
+363
+00:33:16,580 --> 00:33:21,980
+أكبر من W ولا أصغر؟ أكبر يبقى بدي أفحص الـ W بدي
+
+364
+00:33:21,980 --> 00:33:28,320
+أفحص إيش؟ هذا ال value مقارنة مع مين؟ مع التلاتة
+
+365
+00:33:28,320 --> 00:33:34,720
+ناقص اتنين واحد مع هذا ال value زائد هذا صح؟ بجمع
+
+366
+00:33:34,720 --> 00:33:39,680
+ال value تبع ال item مع ال best value ماعش زائد
+
+367
+00:33:39,680 --> 00:33:48,210
+Zero اتناش مقارنة بال Zero هذه اتناش صح؟صح؟ اللي
+
+368
+00:33:48,210 --> 00:33:51,570
+بعدها انت تعملها أكتر من المرة و انت ان شاء الله
+
+369
+00:33:51,570 --> 00:33:58,050
+بت .. ال 12 هذي لما بدأ تيجي أولا السؤال هل J أكبر
+
+370
+00:33:58,050 --> 00:34:04,610
+من W؟ نعم أكبر فبدا أقارن هذي بمين؟ بأربعة ناقص
+
+371
+00:34:04,610 --> 00:34:12,550
+اتنين في هذه الخلية هذه الخلية زاهد لل value 12 زو
+
+372
+00:34:12,550 --> 00:34:18,360
+12 أكبر من ال zero فبتنزل صح؟و نفس الشيء هنا لأن
+
+373
+00:34:18,360 --> 00:34:25,660
+الأرقام هي هي ال 12 إلى الخمسة أكبر من 2 صح إلى
+
+374
+00:34:25,660 --> 00:34:33,220
+الخمسة ناقص 2 ثلاثة ال zero هذا زائد ال 12 مقارنة
+
+375
+00:34:33,220 --> 00:34:39,560
+بال zero هذا بيساوي 12 أكبر فتنزل الآن هاتعالى
+
+376
+00:34:39,560 --> 00:34:47,630
+عشرة هذه العشرة هذه الآن ال W عنديW2 أكبر من W1
+
+377
+00:34:47,630 --> 00:34:50,550
+أكبر من W1 أكبر من W1 أكبر من W1 أكبر من W1 أكبر
+
+378
+00:34:50,550 --> 00:34:51,710
+من W1 أكبر من W1 أكبر من W1 أكبر من W1 أكبر من W1
+
+379
+00:34:51,710 --> 00:34:52,350
+أكبر من W1 أكبر من W1 أكبر من W1 أكبر من W1 أكبر
+
+380
+00:34:52,350 --> 00:34:54,230
+من W1 أكبر من W1 أكبر من W1 أكبر من W1 أكبر من W1
+
+381
+00:34:54,230 --> 00:34:56,330
+أكبر من W1 أكبر من W1 أكبر من W1 أكبر من W1 أكبر
+
+382
+00:34:56,330 --> 00:34:56,770
+من W1 أكبر من W1 أكبر من W1 أكبر من W1 أكبر من W1
+
+383
+00:34:56,770 --> 00:34:57,110
+أكبر من W1 أكبر من W1 أكبر من W1 أكبر من W1 أكبر
+
+384
+00:34:57,110 --> 00:35:05,010
+من W1 أكبر من W1 أكبر من W1 أكبر
+
+385
+00:35:05,010 --> 00:35:13,050
+من W1 أكبر
+
+386
+00:35:13,050 --> 00:35:17,360
+من W1الاتنين اكبر منه خلاص انا بما ان هدي اكبر
+
+387
+00:35:17,360 --> 00:35:21,540
+يبقى كل اللي بعدها ال J's اكبر منه خلاص الاتنين
+
+388
+00:35:21,540 --> 00:35:26,160
+اكبر من الواحد صح؟ okay الآن بدي اقارن هذا القيمة
+
+389
+00:35:26,160 --> 00:35:35,120
+بمين اتنين نقص واحد واحد بهدي زاد عشرة اه
+
+390
+00:35:35,120 --> 00:35:40,100
+عشرة مين اكبر عشرة ولا هدي اتناشر
+
+391
+00:35:42,110 --> 00:35:47,470
+صح؟ يبقى انا اول سؤال بسأله بقارن ال J بالوزن
+
+392
+00:35:47,470 --> 00:35:51,570
+العنصر اللي انا واقف عليه اذا ال J أكبر بكمل اذا
+
+393
+00:35:51,570 --> 00:35:57,590
+ال J أصغر وانا مغمط باخد العنصر اللي فوق انا هنا
+
+394
+00:35:57,590 --> 00:36:06,010
+اذا ال J هذه أصغر من وزن العنصر هباخد ايش؟باخد الـ
+
+395
+00:36:06,010 --> 00:36:08,850
+J إما إذا أكبر فببقى بعمل مقارنة مقارنة ما بين
+
+396
+00:36:08,850 --> 00:36:14,670
+مين؟ بين هذا اللي كنت ربما أخدته مع مين؟ مع لو أنا
+
+397
+00:36:14,670 --> 00:36:21,770
+رجعت بالـ J للقيمة اللي قبل إضافة الـ W اللي هي 2
+
+398
+00:36:21,770 --> 00:36:27,610
+ناقص الوزن هذا اللي هي 1 الواحد أفضل قيمة فيها
+
+399
+00:36:27,610 --> 00:36:41,510
+كانت قبل إضافةزيرو مقارنة بالـ 12 مقارنة
+
+400
+00:36:41,510 --> 00:36:43,530
+بالـ 12 مقارنة بالـ 12 مقارنة بالـ 12 مقارنة بالـ
+
+401
+00:36:43,530 --> 00:36:49,790
+12 مقارنة
+
+402
+00:36:49,790 --> 00:36:56,050
+بالـ 12 مقارنة بالـ 12 مقارنة بالـ 12
+
+403
+00:36:57,480 --> 00:37:01,980
+الجيبس هو تلاتة وال item رقم اربعة وزنه اتنين
+
+404
+00:37:01,980 --> 00:37:09,440
+اتنين اقل من التلاتة اقرن من مع من هذا مع ايش
+
+405
+00:37:09,440 --> 00:37:15,980
+التلاتة نقص اتنين واحد الواحد ال best value كان
+
+406
+00:37:15,980 --> 00:37:21,770
+عشرة لو انا بدأ اضيف value اربعة بطلع اشعشرة زاد
+
+407
+00:37:21,770 --> 00:37:25,450
+خمستاشر خمسة و عشرين مقارنة باتنين و عشرين خمسة و
+
+408
+00:37:25,450 --> 00:37:30,670
+عشرين اكبر بتنزل okay هو
+
+409
+00:37:30,670 --> 00:37:33,690
+المسأل ان انا واحد من اتنين عند كل خلية واحد من
+
+410
+00:37:33,690 --> 00:37:38,590
+اتنين يعني اما باخد القيمة اللي جابل اضافة الاي و
+
+411
+00:37:38,590 --> 00:37:41,030
+انا مغمض امتى باخد هذه القيمة و انا مغمض اما اكون
+
+412
+00:37:41,030 --> 00:37:48,260
+مش قادر اضيف الاي مش قادر اضيفهلأن حجمه أصلا أكبر
+
+413
+00:37:48,260 --> 00:37:52,740
+من الباب كله، فاستحالة أن يكون هناك عناصر في
+
+414
+00:37:52,740 --> 00:37:57,340
+الشنطة فإذا كان حجمه أكبر من حجم الباب كله فما
+
+415
+00:37:57,340 --> 00:38:02,560
+بقدرش أضيفه فتلقائيًا باخد أفضل value تم توصيله،
+
+416
+00:38:02,560 --> 00:38:09,640
+لأن إذا حجمه مش أكبر واحد من اتنين،يا إما بقدرش
+
+417
+00:38:09,640 --> 00:38:14,000
+أضيفه لأن حجمه أكبر من الوسعة اللي ضايل يعني ممكن
+
+418
+00:38:14,000 --> 00:38:18,560
+يكون الوسعة اللي ضايل هي J و أنا العلاصر اللي
+
+419
+00:38:18,560 --> 00:38:25,820
+معبيهم مصلين لعند هنا و الوسعة اللي ضايل ال WI
+
+420
+00:38:25,820 --> 00:38:34,300
+أكبر من هذا الوسعة مش هقدر أضيفه مش هقدر أضيفهأما
+
+421
+00:38:34,300 --> 00:38:37,540
+إذا كده اضيفه اذا كده اضيفه بمعنى انك بدي ارجع
+
+422
+00:38:37,540 --> 00:38:42,140
+للنقطة اللي ممكن اضيفه بمعنى انه هذا الوزن ناقص ال
+
+423
+00:38:42,140 --> 00:38:48,160
+J ال J برجع رجوع بشوف افضل value هناك الان هذا ال
+
+424
+00:38:48,160 --> 00:38:51,700
+value بيقولي القيمة اللي قبل ما اضيفه الان بدي
+
+425
+00:38:51,700 --> 00:38:55,960
+اشوف value تبعه I هذا بشوف ال value تبعه بشوف لو
+
+426
+00:38:55,960 --> 00:39:01,620
+انا اضفته على ال value اللي هنا هيكون افضلولا عدم
+
+427
+00:39:01,620 --> 00:39:07,820
+إضافته أفضل، يعني أنا في خلية، عدم إضافة الأنصر هي
+
+428
+00:39:07,820 --> 00:39:12,260
+الخلية اللي فوقها، حسنا؟ فبصير المقارنة زي هيك،
+
+429
+00:39:12,260 --> 00:39:16,120
+حسنا؟ طيب، الآن ال backtracking .. ال backtracking
+
+430
+00:39:16,120 --> 00:39:21,550
+أن أنا ال 37 هذه هي ال ..الـ Best Value اللي أنا
+
+431
+00:39:21,550 --> 00:39:27,230
+بقدر أحصل عليه لحقيبة وزنها خمسة ومن العناصر
+
+432
+00:39:27,230 --> 00:39:33,090
+الأربعة هدولة طيب الـ 37 هذه من وين أجت؟ أجت من
+
+433
+00:39:33,090 --> 00:39:40,190
+هذا ولا أجت من وين؟ أولا من الـ 37 كون إنه في فرق
+
+434
+00:39:40,190 --> 00:39:43,980
+ما بينها و ما بين اللي فوقمعنى ذلك أننا انتقلنا
+
+435
+00:39:43,980 --> 00:39:48,220
+إليها بعد إضافة العنصر I صح أو لا؟ لأن لو لم أضيف
+
+436
+00:39:48,220 --> 00:39:51,760
+إليها، فكانت نزلة 32 زي ما هي فكونه أن ال value
+
+437
+00:39:51,760 --> 00:39:54,300
+هذا أكبر من ال value هذا، معناه ذلك، ال item هذا
+
+438
+00:39:54,300 --> 00:39:58,580
+أضيفه، خلاص، هذه أول item بيكون موجود في ال set
+
+439
+00:39:58,580 --> 00:40:02,680
+طيب، ال item هذا رقم أربعة، ال value هو مقدش
+
+440
+00:40:02,680 --> 00:40:09,800
+خمساشتين، يعني لما هو دخلهو اللي خلّى هذي الـ 37
+
+441
+00:40:09,800 --> 00:40:17,080
+طب قداش كانت قبل الـ 37؟ الـ 37 رقم 15، 22 تمام؟
+
+442
+00:40:17,080 --> 00:40:24,160
+22، مظبوط؟ جابل ما يضاف، وين الـ 22؟ جابل ما يضاف،
+
+443
+00:40:24,160 --> 00:40:32,480
+رقم 4، وين الـ 22؟ صح؟ يبجى، هو عملياً الرقم 4 هدا
+
+444
+00:40:32,480 --> 00:40:39,660
+أجى إضافة لـ 22 طيب الـ 22 هدىالـ 22 هذه ماذا؟ من
+
+445
+00:40:39,660 --> 00:40:48,720
+أين أتيت؟ أتيت من اللي فوقها، صح؟ ماهو اللي فوقها؟
+
+446
+00:40:48,720 --> 00:40:53,160
+إننا العصر هذا ما نقضيفه، يبقى التلاتة مش موجودة،
+
+447
+00:40:53,160 --> 00:41:00,300
+صح؟ طيب، هنا الـ 22 هذه بينها
+
+448
+00:41:00,300 --> 00:41:02,580
+و بين اللي فوقها، ليهاش فيه فرق؟ يبقى العصر
+
+449
+00:41:02,580 --> 00:41:07,490
+الاتنين هذا قضيفتمام؟ العنصر هذا لما اضيف اتنين لم
+
+450
+00:41:07,490 --> 00:41:12,550
+يكن وزنه او عشرة شيلها من اتنين و عشرين إلى اتناش
+
+451
+00:41:12,550 --> 00:41:19,810
+و الاتناش هي او الاتناش صح؟ الاتناش هذه في فرق
+
+452
+00:41:19,810 --> 00:41:24,070
+بينها و بين اللي فوقها يبقى العنصر هذا اضيف و هو
+
+453
+00:41:24,070 --> 00:41:27,150
+العنصر الأخير خلاص بعد ذلك مافيش فالعناصر اللي
+
+454
+00:41:27,150 --> 00:41:31,090
+بشكله السبعة تلاتين هم واحد و اتنين و اربع هي واحد
+
+455
+00:41:48,510 --> 00:41:52,250
+ملاحظة أخيرة قبل أن ننتهي الملاحظة الأخيرة أن الـ
+
+456
+00:41:52,250 --> 00:41:56,070
+Dynamic Programing كله سواء هذا المثال أو التلاتة
+
+457
+00:41:56,070 --> 00:42:00,210
+أمثل اللي قبل نحن نعمل جدول هنا جدول ثنائي الأبعاد
+
+458
+00:42:00,210 --> 00:42:05,730
+هناك كانت جداول array one dimensionalالغرب من هذا
+
+459
+00:42:05,730 --> 00:42:08,670
+الجداول هو أن كل خلية من خلايا الجداول هي عبارة عن
+
+460
+00:42:08,670 --> 00:42:17,850
+تسجيل ل sub-solution وقلنا إن هذا الكلام يريحنا من
+
+461
+00:42:17,850 --> 00:42:24,510
+ال recursive ال recursion إنه أنا كل .. إذا
+
+462
+00:42:24,510 --> 00:42:28,910
+بتذكروا في الفيبوعشي problem بدي أجيب ال final
+
+463
+00:42:28,910 --> 00:42:32,880
+solution لازم أحلاللي قبلها و حل اللي قبلها و ممكن
+
+464
+00:42:32,880 --> 00:42:37,940
+يصير فيها تكرار للحلول في طريقة Dynamic
+
+465
+00:42:37,940 --> 00:42:38,800
+Programming
+
+466
+00:42:41,420 --> 00:42:45,800
+زي ما انتشرفين المسألة هذه الحالة تبقى اعتمد على
+
+467
+00:42:45,800 --> 00:42:49,820
+خلايا محددة والخلايا التانية انحسبه بس ما استخدموش
+
+468
+00:42:49,820 --> 00:42:53,000
+يعني احيانا عندما نجينا نعمل backtracking ال
+
+469
+00:42:53,000 --> 00:42:55,160
+solution اللي جيناه ال solution هذا بيعتمد على هذا
+
+470
+00:42:55,160 --> 00:42:59,120
+الخلية اسف على هذا الخلية وهذا بتعتمد على هذا وهذا
+
+471
+00:42:59,120 --> 00:43:01,260
+بتعتمد على هذا وهذا بتعتمد على اللي يعملها ال zero
+
+472
+00:43:01,260 --> 00:43:05,220
+صح؟ يبقى اللي دخلوا عمليا في الحل ان هي هم الخلايا
+
+473
+00:43:05,220 --> 00:43:10,350
+دول والتانية انحسبوا بس ما استخدموشOkay ال memory
+
+474
+00:43:10,350 --> 00:43:13,730
+function ال memory function قبعها function صغيرة
+
+475
+00:43:13,730 --> 00:43:19,250
+ممكن توفر عليها عملية الحسبة بشتغل recursive بشتغل
+
+476
+00:43:19,250 --> 00:43:27,250
+recursive و بستخدم الجدول ماشي و باحسب فقط الخلايا
+
+477
+00:43:27,250 --> 00:43:32,890
+اللي هتلزمني ببدأ top-down هذا الشغل بقدر اقول عنه
+
+478
+00:43:32,890 --> 00:43:38,140
+top-down ولا bottom-upأنا أوصلت للنهاية من هنا
+
+479
+00:43:38,140 --> 00:43:43,200
+راكمت تبعكم ال solutions على بعض لما أوصلت لل
+
+480
+00:43:43,200 --> 00:43:46,620
+final solution هذا ال bottom-up ال top-down ان انا
+
+481
+00:43:46,620 --> 00:43:50,820
+بقاجي بعمل recursive call و بقول له انا ياندي اربع
+
+482
+00:43:50,820 --> 00:43:55,960
+علاصر و ال capacity ال total تبعي خمسة تمام احسبلي
+
+483
+00:43:55,960 --> 00:43:59,860
+الكلام هذا عشان يحسب الكلام هذا بدي يبدأ يرجع رجوع
+
+484
+00:43:59,860 --> 00:44:06,420
+okayهو عشان يطلع ال value النهائي و هو برجع مش
+
+485
+00:44:06,420 --> 00:44:10,600
+هيحسب كل الخلايا هيحسب بس الخلايا اللازمة هنشوف
+
+486
+00:44:10,600 --> 00:44:14,100
+المحاضرة الجاية كيف الكلمة ده بتتم المحاضرة الجاية
+
+487
+00:44:14,100 --> 00:44:18,940
+بن .. يعني بنعمل مراجعة سريعة لل NABSAG problem و
+
+488
+00:44:18,940 --> 00:44:25,700
+.. و بنشوف كيف الجدول هنا ده ممكن نوفر .. نوفر
+
+489
+00:44:25,700 --> 00:44:30,420
+عملية الحساب و نحسب بس ال value اللي بتوصل للحل
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/TIh1ujajMGg_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/TIh1ujajMGg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..92ff0e1ec3fa7aa46d0d62d7ccdbe0c907a40bf0
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/TIh1ujajMGg_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4661, "start": 20.75, "end": 46.61, "text": "ماشاء الله بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف المرسلين اليوم بنكمل الموضوع اللي فتحناه المحاضرة الماضية اللي هو Dynamic Programming وكنا شوفنا two examples و بدينا في ال example التالت بدنا نكمل مطرح انتهينا المحاضرة الماضية كان ال example التالت هو عمليا ال example الأول كانوا ال three examples دول بس احنا بدينا", "tokens": [2304, 33599, 16606, 21984, 4724, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 25894, 5551, 8592, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 44945, 24793, 1211, 9673, 2407, 11242, 45367, 13672, 1829, 6156, 2655, 5016, 8315, 3224, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 13672, 1829, 31439, 45440, 8338, 2810, 4032, 4117, 8315, 13412, 38688, 8315, 732, 5110, 4032, 47525, 1829, 8315, 8978, 2423, 1365, 16712, 6027, 2655, 47525, 8315, 8717, 24793, 1211, 3714, 9566, 2288, 5016, 16472, 47395, 1829, 8315, 9673, 5016, 46958, 25720, 9673, 46958, 10632, 25961, 2423, 1365, 16712, 6027, 2655, 31439, 6225, 2304, 20292, 995, 2423, 1365, 16247, 12610, 25961, 14407, 2423, 1045, 5110, 11778, 12610, 4724, 3794, 1975, 5016, 8315, 47525, 1829, 8315], "avg_logprob": -0.143601189530085, "compression_ratio": 2.049808429118774, "no_speech_prob": 7.62939453125e-06, "words": [{"start": 20.75, "end": 21.21, "word": "ماشاء", "probability": 0.72900390625}, {"start": 21.21, "end": 21.49, "word": " الله", "probability": 0.7421875}, {"start": 21.49, "end": 22.09, "word": " بسم", "probability": 0.8017578125}, {"start": 22.09, "end": 22.25, "word": " الله", "probability": 0.95361328125}, {"start": 22.25, "end": 22.51, "word": " الرحمن", "probability": 0.9680989583333334}, {"start": 22.51, "end": 22.77, "word": " الرحيم", "probability": 0.9840494791666666}, {"start": 22.77, "end": 23.01, "word": " الصلاة", "probability": 0.9069010416666666}, {"start": 23.01, "end": 23.37, "word": " والسلام", "probability": 0.89453125}, {"start": 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تكرار يعني قطعتين نفس القيمة المطلوب أنه أنا أخد مجموعة فرعية من هذه القطع بحيث أنه أكون أحققت أكبر value وطبعا بشرط أنه ما أخد قطعتين مجاورات لبعض يعني إذا أخد قطعة لا أخد اللي جنبها يمين ولا جنبها شمال أشوف غيرها", "tokens": [27842, 16712, 7649, 1829, 16070, 2655, 6027, 2655, 39182, 9957, 5551, 47341, 3615, 24976, 10721, 12610, 16247, 12610, 13672, 1829, 31439, 2423, 11464, 8936, 1154, 14739, 3224, 8978, 18871, 16254, 3714, 7435, 2304, 2407, 27884, 9154, 25062, 9566, 3615, 18863, 2304, 37977, 3714, 9381, 5172, 9566, 9957, 15844, 8608, 9566, 2288, 3714, 43020, 7251, 3555, 4587, 7578, 8978, 16095, 6055, 37983, 9640, 37495, 22653, 12174, 9566, 34268, 9957, 8717, 36178, 25062, 32640, 3660, 9673, 9566, 1211, 37746, 14739, 3224, 41850, 5551, 9778, 3215, 3714, 7435, 2304, 2407, 27884, 6156, 2288, 3615, 10632, 9154, 29538, 25062, 9566, 3615, 4724, 5016, 1829, 12984, 14739, 3224, 5551, 30544, 5551, 5016, 4587, 38149, 5551, 4117, 26890, 2158, 4032, 9566, 3555, 3615, 995, 4724, 46309, 9566, 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"end": 54.16, "word": " العملة", "probability": 0.92822265625}, {"start": 54.16, "end": 54.86, "word": " مصفطين", "probability": 0.8291015625}, {"start": 54.86, "end": 55.06, "word": " على", "probability": 0.95458984375}, {"start": 55.06, "end": 55.62, "word": " سطر", "probability": 0.9908854166666666}, {"start": 55.62, "end": 56.54, "word": " ممكن", "probability": 0.971435546875}, {"start": 56.54, "end": 56.78, "word": " يبقى", "probability": 0.9444580078125}, {"start": 56.78, "end": 57.1, "word": " فيهم", "probability": 0.972412109375}, {"start": 57.1, "end": 57.58, "word": " تكرار", "probability": 0.789794921875}, {"start": 57.58, "end": 57.78, "word": " يعني", "probability": 0.93701171875}, {"start": 57.78, "end": 58.4, "word": " قطعتين", "probability": 0.9271240234375}, {"start": 58.4, "end": 58.64, "word": " نفس", "probability": 0.994873046875}, {"start": 58.64, "end": 59.3, "word": " القيمة", "probability": 0.9796549479166666}, {"start": 59.3, "end": 60.26, "word": " المطلوب", "probability": 0.984130859375}, {"start": 60.26, "end": 60.54, "word": " أنه", "probability": 0.7958984375}, {"start": 60.54, "end": 60.74, "word": " أنا", "probability": 0.485107421875}, {"start": 60.74, "end": 61.5, "word": " أخد", "probability": 0.8134765625}, {"start": 61.5, "end": 62.08, "word": " مجموعة", "probability": 0.95927734375}, {"start": 62.08, "end": 62.58, "word": " فرعية", "probability": 0.9705810546875}, {"start": 62.58, "end": 62.82, "word": " من", "probability": 0.994140625}, {"start": 62.82, "end": 63.16, "word": " هذه", "probability": 0.873046875}, {"start": 63.16, "end": 63.86, "word": " القطع", "probability": 0.8937174479166666}, {"start": 63.86, "end": 64.64, "word": " بحيث", "probability": 0.9661865234375}, {"start": 64.64, "end": 65.02, "word": " أنه", "probability": 0.91845703125}, {"start": 65.02, "end": 65.48, "word": " أكون", "probability": 0.912841796875}, {"start": 65.48, "end": 66.08, "word": " أحققت", "probability": 0.94287109375}, {"start": 66.08, "end": 66.6, "word": " أكبر", "probability": 0.9830729166666666}, {"start": 66.6, "end": 67.16, "word": " value", "probability": 0.99267578125}, {"start": 67.16, "end": 68.0, "word": " وطبعا", "probability": 0.95}, {"start": 68.0, "end": 69.0, "word": " بشرط", "probability": 0.83837890625}, {"start": 69.0, "end": 69.54, "word": " أنه", "probability": 0.85888671875}, {"start": 69.54, "end": 69.62, "word": " ما", "probability": 0.80517578125}, {"start": 69.62, "end": 69.9, "word": " أخد", "probability": 0.7548828125}, {"start": 69.9, "end": 70.56, "word": " قطعتين", "probability": 0.994873046875}, {"start": 70.56, "end": 71.4, "word": " مجاورات", "probability": 0.932421875}, {"start": 71.4, "end": 72.04, "word": " لبعض", "probability": 0.976806640625}, {"start": 72.04, "end": 72.22, "word": " يعني", "probability": 0.925537109375}, {"start": 72.22, "end": 72.34, "word": " إذا", "probability": 0.80078125}, {"start": 72.34, "end": 72.52, "word": " أخد", "probability": 0.8956705729166666}, {"start": 72.52, "end": 72.88, "word": " قطعة", "probability": 0.775390625}, {"start": 72.88, "end": 73.1, "word": " لا", "probability": 0.68994140625}, {"start": 73.1, "end": 73.38, "word": " أخد", "probability": 0.9046223958333334}, {"start": 73.38, "end": 73.54, "word": " اللي", "probability": 0.91455078125}, {"start": 73.54, "end": 73.98, "word": " جنبها", "probability": 0.8983154296875}, {"start": 73.98, "end": 74.28, "word": " يمين", "probability": 0.88525390625}, {"start": 74.28, "end": 74.46, "word": " ولا", "probability": 0.87744140625}, {"start": 74.46, "end": 74.8, "word": " جنبها", "probability": 0.9454345703125}, {"start": 74.8, "end": 75.18, "word": " شمال", "probability": 0.8323567708333334}, {"start": 75.18, "end": 75.72, "word": " أشوف", "probability": 0.880859375}, {"start": 75.72, "end": 76.06, "word": " غيرها", "probability": 0.9807942708333334}], "temperature": 1.0}, {"id": 3, "seek": 10358, "start": 76.58, "end": 103.58, "text": "الان احنا عملنا formulation لل problem اول شي هاي المثال اللي كان انه قطع خمسة و احد و اتنين و اشره و سته و اتنين هاي في انتين متشابهات جينا حكينا انه ال best value هي ال F ده معناته ال best value", "tokens": [6027, 7649, 1975, 5016, 8315, 6225, 42213, 8315, 37642, 24976, 1154, 1975, 12610, 44049, 8032, 47302, 9673, 12984, 6027, 13672, 1829, 25961, 16472, 3224, 12174, 9566, 3615, 16490, 2304, 3794, 3660, 4032, 1975, 24401, 4032, 1975, 2655, 1863, 9957, 4032, 1975, 8592, 2288, 3224, 4032, 8608, 2655, 3224, 4032, 1975, 2655, 1863, 9957, 8032, 47302, 8978, 16472, 2655, 9957, 44650, 8592, 16758, 3224, 9307, 10874, 1829, 8315, 11331, 4117, 1829, 8315, 16472, 3224, 2423, 1151, 2158, 39896, 2423, 479, 11778, 3224, 20449, 8315, 47395, 2423, 1151, 2158], "avg_logprob": -0.29989347302100877, "compression_ratio": 1.6827956989247312, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 76.58, "end": 77.44, "word": "الان", "probability": 0.58544921875}, {"start": 77.44, "end": 77.8, "word": " احنا", "probability": 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"word": " خمسة", "probability": 0.80645751953125}, {"start": 83.44, "end": 83.52, "word": " و", "probability": 0.53125}, {"start": 83.52, "end": 83.74, "word": " احد", "probability": 0.74951171875}, {"start": 83.74, "end": 83.9, "word": " و", "probability": 0.71728515625}, {"start": 83.9, "end": 84.08, "word": " اتنين", "probability": 0.9569091796875}, {"start": 84.08, "end": 84.2, "word": " و", "probability": 0.90380859375}, {"start": 84.2, "end": 84.58, "word": " اشره", "probability": 0.59368896484375}, {"start": 84.58, "end": 84.7, "word": " و", "probability": 0.95166015625}, {"start": 84.7, "end": 84.9, "word": " سته", "probability": 0.72802734375}, {"start": 84.9, "end": 85.02, "word": " و", "probability": 0.93701171875}, {"start": 85.02, "end": 85.2, "word": " اتنين", "probability": 0.9659423828125}, {"start": 85.2, "end": 85.38, "word": " هاي", "probability": 0.5330810546875}, {"start": 85.38, "end": 85.44, "word": " في", "probability": 0.693359375}, {"start": 85.44, "end": 85.86, "word": " انتين", "probability": 0.4484456380208333}, {"start": 85.86, "end": 86.76, "word": " متشابهات", "probability": 0.860498046875}, {"start": 86.76, "end": 88.26, "word": " جينا", "probability": 0.7072347005208334}, {"start": 88.26, "end": 88.72, "word": " حكينا", "probability": 0.9453125}, {"start": 88.72, "end": 91.42, "word": " انه", "probability": 0.857666015625}, {"start": 91.42, "end": 96.14, "word": " ال", "probability": 0.92236328125}, {"start": 96.14, "end": 97.5, "word": " best", "probability": 0.81396484375}, {"start": 97.5, "end": 98.1, "word": " value", "probability": 0.990234375}, {"start": 98.1, "end": 101.16, "word": " هي", "probability": 0.228271484375}, {"start": 101.16, "end": 101.7, "word": " ال", "probability": 0.64794921875}, {"start": 101.7, "end": 102.04, "word": " F", "probability": 0.646484375}, {"start": 102.04, "end": 102.44, "word": " ده", "probability": 0.916015625}, {"start": 102.44, "end": 102.78, "word": " معناته", "probability": 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{"start": 120.13, "end": 120.51, "word": " ال", "probability": 0.91064453125}, {"start": 120.51, "end": 120.69, "word": " N", "probability": 0.84375}, {"start": 120.69, "end": 121.25, "word": " كلها", "probability": 0.875244140625}, {"start": 121.25, "end": 121.81, "word": " هو", "probability": 0.8095703125}, {"start": 121.81, "end": 122.41, "word": " هيكون", "probability": 0.906005859375}, {"start": 122.41, "end": 122.83, "word": " اما", "probability": 0.908203125}, {"start": 122.83, "end": 123.09, "word": " ال", "probability": 0.912109375}, {"start": 123.09, "end": 123.31, "word": " best", "probability": 0.91650390625}, {"start": 123.31, "end": 123.75, "word": " value", "probability": 0.98583984375}, {"start": 123.75, "end": 124.79, "word": " هيكون", "probability": 0.83984375}, {"start": 124.79, "end": 125.61, "word": " اما", "probability": 0.955322265625}, {"start": 125.61, "end": 126.75, "word": " ال", "probability": 0.9072265625}, {"start": 126.75, "end": 127.01, "word": " best", 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251.86, "end": 252.7, "word": " ال", "probability": 0.6259765625}, {"start": 252.7, "end": 252.9, "word": " two", "probability": 0.91845703125}, {"start": 252.9, "end": 253.2, "word": " best", "probability": 0.95654296875}, {"start": 253.2, "end": 253.74, "word": " values", "probability": 0.95166015625}, {"start": 253.74, "end": 254.82, "word": " هذا", "probability": 0.92333984375}, {"start": 254.82, "end": 255.0, "word": " ال", "probability": 0.9775390625}, {"start": 255.0, "end": 255.3, "word": " best", "probability": 0.970703125}, {"start": 255.3, "end": 255.7, "word": " value", "probability": 0.9892578125}, {"start": 255.7, "end": 255.84, "word": " اللي", "probability": 0.971923828125}, {"start": 255.84, "end": 256.06, "word": " يمكن", "probability": 0.9423828125}, {"start": 256.06, "end": 256.8, "word": " تحصيله", "probability": 0.93876953125}], "temperature": 1.0}, {"id": 9, "seek": 26826, "start": 257.66, "end": 268.26, "text": "من المجموعة اللي بتنتهي عند N ناقص واحد وهي ده ال best value اللي ممكن تحصله من المجموعة اللي بتنتهي ب N قيمة هذا ال best value جاي من قيمة N", "tokens": [27842, 9673, 7435, 2304, 45367, 3660, 13672, 1829, 39894, 29399, 3224, 1829, 43242, 426, 8717, 995, 4587, 9381, 36764, 24401, 37037, 1829, 11778, 3224, 2423, 1151, 2158, 13672, 1829, 3714, 43020, 6055, 5016, 36520, 3224, 9154, 9673, 7435, 2304, 45367, 3660, 13672, 1829, 39894, 29399, 3224, 1829, 4724, 426, 12174, 32640, 3660, 23758, 2423, 1151, 2158, 10874, 47302, 9154, 12174, 32640, 3660, 426], "avg_logprob": -0.2436523383948952, "compression_ratio": 1.7633587786259541, "no_speech_prob": 1.6689300537109375e-06, "words": [{"start": 257.66, "end": 257.96, "word": "من", "probability": 0.10809326171875}, {"start": 257.96, "end": 258.56, "word": " المجموعة", "probability": 0.83828125}, {"start": 258.56, "end": 258.64, "word": " اللي", "probability": 0.4515380859375}, {"start": 258.64, "end": 259.06, "word": " بتنتهي", "probability": 0.920166015625}, {"start": 259.06, "end": 259.26, 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0.86376953125}, {"start": 262.58, "end": 263.24, "word": " المجموعة", "probability": 0.885546875}, {"start": 263.24, "end": 263.56, "word": " اللي", "probability": 0.9609375}, {"start": 263.56, "end": 264.02, "word": " بتنتهي", "probability": 0.9765625}, {"start": 264.02, "end": 264.14, "word": " ب", "probability": 0.779296875}, {"start": 264.14, "end": 264.38, "word": " N", "probability": 0.55419921875}, {"start": 264.38, "end": 266.42, "word": " قيمة", "probability": 0.83203125}, {"start": 266.42, "end": 266.6, "word": " هذا", "probability": 0.5234375}, {"start": 266.6, "end": 266.74, "word": " ال", "probability": 0.8046875}, {"start": 266.74, "end": 266.94, "word": " best", "probability": 0.92236328125}, {"start": 266.94, "end": 267.22, "word": " value", "probability": 0.98779296875}, {"start": 267.22, "end": 267.5, "word": " جاي", "probability": 0.83349609375}, {"start": 267.5, "end": 267.66, "word": " من", "probability": 0.96875}, {"start": 267.66, "end": 268.04, "word": " قيمة", "probability": 0.9938151041666666}, {"start": 268.04, "end": 268.26, "word": " N", "probability": 0.89453125}], "temperature": 1.0}, {"id": 10, "seek": 29595, "start": 269.29, "end": 295.95, "text": "زائد قيمة ال best value اللي يمكن جمعها هذا ال recurrence الآن ان عشان اجيب f of n صار لازم اشوف f of n نقص واحد و f of n نقص اتنين ال f هنا يعني ال best value فالكلام هذا لما نجينا نطبقه عمليا طبعا ال f of zero انه zero in طبعا zero f of واحد يعني ال coin واحدة", "tokens": [11622, 16373, 3215, 12174, 32640, 3660, 2423, 1151, 2158, 13672, 1829, 7251, 43020, 10874, 2304, 3615, 11296, 23758, 2423, 18680, 10760, 6024, 48506, 16472, 6225, 8592, 7649, 1975, 7435, 1829, 3555, 283, 295, 297, 20328, 9640, 5296, 31377, 2304, 1975, 8592, 38688, 283, 295, 297, 8717, 4587, 9381, 36764, 24401, 4032, 283, 295, 297, 8717, 4587, 9381, 1975, 2655, 1863, 9957, 2423, 283, 34105, 37495, 22653, 2423, 1151, 2158, 6156, 6027, 28820, 10943, 23758, 5296, 15042, 8717, 7435, 1829, 8315, 8717, 9566, 3555, 4587, 3224, 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"word": " طبعا", "probability": 0.8865966796875}, {"start": 287.65, "end": 287.87, "word": " ال", "probability": 0.90478515625}, {"start": 287.87, "end": 288.07, "word": " f", "probability": 0.84033203125}, {"start": 288.07, "end": 288.25, "word": " of", "probability": 0.962890625}, {"start": 288.25, "end": 288.63, "word": " zero", "probability": 0.50390625}, {"start": 288.63, "end": 289.69, "word": " انه", "probability": 0.7333984375}, {"start": 289.69, "end": 290.83, "word": " zero", "probability": 0.6337890625}, {"start": 290.83, "end": 291.23, "word": " in", "probability": 0.68408203125}, {"start": 291.23, "end": 291.75, "word": " طبعا", "probability": 0.962158203125}, {"start": 291.75, "end": 292.11, "word": " zero", "probability": 0.65673828125}, {"start": 292.11, "end": 292.51, "word": " f", "probability": 0.51318359375}, {"start": 292.51, "end": 292.83, "word": " of", "probability": 0.96484375}, {"start": 292.83, "end": 293.65, "word": " واحد", "probability": 0.980712890625}, 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items اللي وزنهم مايزيد عن خمسة", "tokens": [10721, 8315, 4724, 16254, 6055, 8592, 4117, 26895, 3660, 9154, 2423, 4754, 13672, 1829, 4032, 11622, 1863, 16095, 19446, 1829, 11622, 25708, 18871, 16490, 2304, 3794, 3660], "avg_logprob": -0.3189174011349678, "compression_ratio": 1.0595238095238095, "no_speech_prob": 1.0132789611816406e-06, "words": [{"start": 964.63, "end": 965.87, "word": "أنا", "probability": 0.29833984375}, {"start": 965.87, "end": 967.11, "word": " بدي", "probability": 0.5751953125}, {"start": 967.11, "end": 967.79, "word": " تشكيلة", "probability": 0.9359375}, {"start": 967.79, "end": 967.93, "word": " من", "probability": 0.95068359375}, {"start": 967.93, "end": 968.05, "word": " ال", "probability": 0.6240234375}, {"start": 968.05, "end": 968.43, "word": " items", "probability": 0.58642578125}, {"start": 968.43, "end": 968.79, "word": " اللي", "probability": 0.609619140625}, {"start": 968.79, "end": 969.51, "word": " وزنهم", "probability": 0.9608154296875}, {"start": 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"probability": 0.82841796875}], "temperature": 1.0}, {"id": 44, "seek": 115108, "start": 1133.21, "end": 1151.09, "text": "من الطبيعي أن الشنطة تستعمل على هذا العنصر وبالتالي ال value اللي حصلت عليه هو 12 وهذا ال best value هو أصلا ماعنديش غير item واحد", "tokens": [27842, 41950, 21292, 3615, 1829, 14739, 25124, 1863, 9566, 3660, 6055, 14851, 25957, 1211, 15844, 23758, 18863, 1863, 9381, 2288, 46599, 6027, 2655, 6027, 1829, 2423, 2158, 13672, 1829, 11331, 36520, 2655, 47356, 31439, 2272, 37037, 15730, 2423, 1151, 2158, 31439, 5551, 9381, 15040, 19446, 3615, 1863, 16254, 8592, 32771, 13546, 3174, 36764, 24401], "avg_logprob": -0.39460225972262297, "compression_ratio": 1.4429530201342282, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1133.21, "end": 1133.75, "word": "من", "probability": 0.38818359375}, {"start": 1133.75, "end": 1134.35, "word": " الطبيعي", "probability": 0.9375}, {"start": 1134.35, "end": 1134.59, "word": " أن", "probability": 0.350341796875}, {"start": 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1313.63, "end": 1313.95, "word": " أنا", "probability": 0.6337890625}], "temperature": 1.0}, {"id": 52, "seek": 133280, "start": 1314.68, "end": 1332.8, "text": "بحكي عن حقيبة الساعة بتاع خمسة كيلو و بكون أنا مطروح أمامي الاربع عناصر كلهم نظرت إليهم و اخترت منهم هذا ال best value من وين بده يجيه؟ بده أشوف علاقة نابينه", "tokens": [49628, 4117, 1829, 18871, 11331, 38436, 49401, 21136, 995, 27884, 39894, 45761, 16490, 2304, 3794, 3660, 9122, 26895, 2407, 4032, 4724, 30544, 41850, 3714, 9566, 32887, 5016, 5551, 2304, 10943, 1829, 2423, 9640, 3555, 3615, 18871, 33546, 2288, 28242, 16095, 8717, 19913, 43500, 11933, 20292, 16095, 4032, 1975, 46456, 43500, 9154, 16095, 23758, 2423, 1151, 2158, 9154, 4032, 9957, 47525, 3224, 7251, 7435, 1829, 3224, 22807, 47525, 3224, 5551, 8592, 38688, 11203, 995, 28671, 8717, 16758, 9957, 3224], "avg_logprob": -0.26107594484015356, "compression_ratio": 1.5222222222222221, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1314.68, "end": 1315.16, 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"probability": 0.9488932291666666}, {"start": 1587.57, "end": 1587.79, "word": " يبقى", "probability": 0.9412841796875}, {"start": 1587.79, "end": 1587.93, "word": " ما", "probability": 0.87841796875}, {"start": 1587.93, "end": 1588.49, "word": " بأضيفوش", "probability": 0.7992960611979166}, {"start": 1588.49, "end": 1588.65, "word": " و", "probability": 0.6044921875}, {"start": 1588.65, "end": 1589.25, "word": " تلقائيا", "probability": 0.85}, {"start": 1589.25, "end": 1590.17, "word": " باخد", "probability": 0.9366861979166666}, {"start": 1590.17, "end": 1590.71, "word": " الخلية", "probability": 0.93603515625}, {"start": 1590.71, "end": 1590.99, "word": " اللي", "probability": 0.9677734375}, {"start": 1590.99, "end": 1591.33, "word": " فوق", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 63, "seek": 160721, "start": 1592.07, "end": 1607.21, "text": "هذه هي أول عنصر أو باند في الـ Formulation هذا ال comparison ممكن تشوفيه على أنها إزاي هيكة", "tokens": [3224, 24192, 39896, 5551, 12610, 6225, 1863, 9381, 2288, 34051, 4724, 7649, 3215, 8978, 2423, 39184, 10126, 2776, 23758, 2423, 9660, 3714, 43020, 6055, 8592, 38688, 1829, 3224, 15844, 14739, 11296, 11933, 11622, 47302, 39896, 4117, 3660], "avg_logprob": -0.5312499952943701, "compression_ratio": 1.1612903225806452, "no_speech_prob": 0.0, "words": [{"start": 1592.07, "end": 1592.63, "word": "هذه", "probability": 0.4073486328125}, {"start": 1592.63, "end": 1593.27, "word": " هي", "probability": 0.487060546875}, {"start": 1593.27, "end": 1594.07, "word": " أول", "probability": 0.80078125}, {"start": 1594.07, "end": 1594.43, "word": " عنصر", "probability": 0.63946533203125}, {"start": 1594.43, "end": 1594.55, "word": " أو", "probability": 0.32666015625}, {"start": 1594.55, "end": 1595.59, "word": " باند", "probability": 0.5553385416666666}, {"start": 1595.59, "end": 1595.77, "word": " في", "probability": 0.830078125}, {"start": 1595.77, "end": 1595.87, "word": " الـ", "probability": 0.27557373046875}, 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"probability": 0.82666015625}, {"start": 1643.87, "end": 1645.91, "word": " بشوف", "probability": 0.8408203125}, {"start": 1645.91, "end": 1646.41, "word": " هذا", "probability": 0.92724609375}, {"start": 1646.41, "end": 1646.95, "word": " الانصار", "probability": 0.6832275390625}, {"start": 1646.95, "end": 1647.25, "word": " ال", "probability": 0.66552734375}, {"start": 1647.25, "end": 1647.57, "word": " value", "probability": 0.93310546875}, {"start": 1647.57, "end": 1648.11, "word": " تبعه", "probability": 0.9317626953125}, {"start": 1648.11, "end": 1648.77, "word": " هذا", "probability": 0.63232421875}, {"start": 1648.77, "end": 1649.15, "word": " الانصار", "probability": 0.976806640625}, {"start": 1649.15, "end": 1649.39, "word": " I", "probability": 0.73486328125}, {"start": 1649.39, "end": 1649.59, "word": " ال", "probability": 0.478515625}, {"start": 1649.59, "end": 1649.85, "word": " value", "probability": 0.97998046875}, {"start": 1649.85, "end": 1650.39, "word": " تبعه", 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قبعها function صغيرة ممكن توفر عليها عملية الحسبة بشتغل recursive بشتغل recursive و بستخدم الجدول ماشي و باحسب فقط الخلايا اللي هتلزمني ببدأ top-down هذا الشغل بقدر اقول عنه top-down ولا bottom-up", "tokens": [8297, 2423, 4675, 2445, 2423, 4675, 2445, 12174, 3555, 3615, 11296, 2445, 20328, 17082, 48923, 3714, 43020, 6055, 38688, 2288, 25894, 11296, 6225, 42213, 10632, 21542, 35457, 3660, 4724, 8592, 2655, 17082, 1211, 20560, 488, 4724, 8592, 2655, 17082, 1211, 20560, 488, 4032, 4724, 14851, 9778, 40448, 25724, 3215, 12610, 3714, 33599, 1829, 4032, 4724, 39319, 35457, 6156, 47432, 33962, 15040, 25528, 13672, 1829, 8032, 2655, 1211, 11622, 2304, 22653, 4724, 44510, 10721, 1192, 12, 5093, 23758, 25124, 17082, 1211, 4724, 28543, 2288, 1975, 39648, 18871, 3224, 1192, 12, 5093, 49429, 2767, 12, 1010], "avg_logprob": -0.23207236747992666, "compression_ratio": 1.6451612903225807, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2588.59, "end": 2588.93, "word": "Okay", 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0.83233642578125}, {"start": 2616.92, "end": 2617.68, "word": " من", "probability": 0.8193359375}, {"start": 2617.68, "end": 2618.14, "word": " هنا", "probability": 0.98779296875}, {"start": 2618.14, "end": 2619.88, "word": " راكمت", "probability": 0.73504638671875}, {"start": 2619.88, "end": 2620.5, "word": " تبعكم", "probability": 0.687744140625}, {"start": 2620.5, "end": 2621.08, "word": " ال", "probability": 0.77880859375}, {"start": 2621.08, "end": 2621.42, "word": " solutions", "probability": 0.43798828125}, {"start": 2621.42, "end": 2622.06, "word": " على", "probability": 0.7177734375}, {"start": 2622.06, "end": 2622.46, "word": " بعض", "probability": 0.989013671875}, {"start": 2622.46, "end": 2622.68, "word": " لما", "probability": 0.863037109375}, {"start": 2622.68, "end": 2623.04, "word": " أوصلت", "probability": 0.9402669270833334}, {"start": 2623.04, "end": 2623.2, "word": " لل", "probability": 0.72216796875}, {"start": 2623.2, "end": 2623.52, "word": " final", "probability": 0.261474609375}, {"start": 2623.52, "end": 2623.96, "word": " solution", "probability": 0.9375}, {"start": 2623.96, "end": 2624.14, "word": " هذا", "probability": 0.1407470703125}, {"start": 2624.14, "end": 2624.32, "word": " ال", "probability": 0.71533203125}, {"start": 2624.32, "end": 2624.48, "word": " bottom", "probability": 0.6591796875}, {"start": 2624.48, "end": 2624.84, "word": "-up", "probability": 0.714111328125}, {"start": 2624.84, "end": 2625.58, "word": " ال", "probability": 0.65771484375}, {"start": 2625.58, "end": 2625.84, "word": " top", "probability": 0.8623046875}, {"start": 2625.84, "end": 2626.2, "word": "-down", "probability": 0.89990234375}, {"start": 2626.2, "end": 2626.38, "word": " ان", "probability": 0.277099609375}, {"start": 2626.38, "end": 2626.62, "word": " انا", "probability": 0.7447509765625}, {"start": 2626.62, "end": 2627.18, "word": " بقاجي", "probability": 0.73394775390625}, {"start": 2627.18, "end": 2627.56, "word": " بعمل", "probability": 0.8626302083333334}, {"start": 2627.56, "end": 2628.14, "word": " recursive", "probability": 0.975341796875}, {"start": 2628.14, "end": 2628.36, "word": " call", "probability": 0.82666015625}, {"start": 2628.36, "end": 2628.48, "word": " و", "probability": 0.433837890625}, {"start": 2628.48, "end": 2628.72, "word": " بقول", "probability": 0.938720703125}, {"start": 2628.72, "end": 2628.82, "word": " له", "probability": 0.35498046875}, {"start": 2628.82, "end": 2629.02, "word": " انا", "probability": 0.7259521484375}, {"start": 2629.02, "end": 2629.62, "word": " ياندي", "probability": 0.5139567057291666}, {"start": 2629.62, "end": 2630.82, "word": " اربع", "probability": 0.8095703125}, {"start": 2630.82, "end": 2631.4, "word": " علاصر", "probability": 0.7378743489583334}, {"start": 2631.4, "end": 2631.64, "word": " و", "probability": 0.7607421875}, {"start": 2631.64, "end": 2631.72, "word": " ال", "probability": 0.422607421875}, {"start": 2631.72, "end": 2632.12, "word": " capacity", "probability": 0.837890625}, {"start": 2632.12, "end": 2632.32, "word": " ال", "probability": 0.47607421875}, {"start": 2632.32, "end": 2632.56, "word": " total", "probability": 0.87353515625}, {"start": 2632.56, "end": 2632.94, "word": " تبعي", "probability": 0.87451171875}, {"start": 2632.94, "end": 2633.86, "word": " خمسة", "probability": 0.9000244140625}, {"start": 2633.86, "end": 2634.98, "word": " تمام", "probability": 0.814208984375}, {"start": 2634.98, "end": 2635.96, "word": " احسبلي", "probability": 0.7943115234375}, {"start": 2635.96, "end": 2636.6, "word": " الكلام", "probability": 0.9308268229166666}, {"start": 2636.6, "end": 2636.8, "word": " هذا", "probability": 0.80810546875}, {"start": 2636.8, "end": 2637.06, "word": " عشان", "probability": 0.9654947916666666}, {"start": 2637.06, "end": 2637.36, "word": " يحسب", "probability": 0.9593098958333334}, {"start": 2637.36, "end": 2637.66, "word": " الكلام", "probability": 0.9109700520833334}, {"start": 2637.66, "end": 2637.88, "word": " هذا", "probability": 0.94580078125}, {"start": 2637.88, "end": 2638.24, "word": " بدي", "probability": 0.66357421875}, {"start": 2638.24, "end": 2638.98, "word": " يبدأ", "probability": 0.9607747395833334}, {"start": 2638.98, "end": 2639.46, "word": " يرجع", "probability": 0.8811848958333334}, {"start": 2639.46, "end": 2639.86, "word": " رجوع", "probability": 0.6775716145833334}, {"start": 2639.86, "end": 2641.2, "word": " okay", "probability": 0.6630859375}], "temperature": 1.0}, {"id": 103, "seek": 267042, "start": 2642.74, "end": 2670.42, "text": "هو عشان يطلع ال value النهائي و هو برجع مش هيحسب كل الخلايا هيحسب بس الخلايا اللازمة هنشوف المحاضرة الجاية كيف الكلمة ده بتتم المحاضرة الجاية بن .. يعني بنعمل مراجعة سريعة لل NABSAG problem و .. و بنشوف كيف الجدول هنا ده ممكن نوفر .. نوفر عملية الحساب و نحسب بس ال value اللي بتوصل للحل", "tokens": [3224, 2407, 6225, 8592, 7649, 7251, 9566, 1211, 3615, 2423, 2158, 28239, 3224, 16373, 1829, 4032, 31439, 4724, 47341, 3615, 37893, 39896, 5016, 35457, 28242, 33962, 15040, 25528, 39896, 5016, 35457, 4724, 3794, 33962, 15040, 25528, 13672, 31377, 46007, 8032, 1863, 8592, 38688, 9673, 5016, 46958, 25720, 25724, 995, 10632, 9122, 33911, 33251, 19528, 3660, 11778, 3224, 39894, 39237, 9673, 5016, 46958, 25720, 25724, 995, 10632, 44945, 4386, 37495, 22653, 44945, 25957, 1211, 3714, 2288, 26108, 27884, 8608, 16572, 27884, 24976, 426, 13868, 8886, 38, 1154, 4032, 4386, 4032, 44945, 8592, 38688, 9122, 33911, 25724, 3215, 12610, 34105, 11778, 3224, 3714, 43020, 8717, 38688, 2288, 4386, 8717, 38688, 2288, 6225, 42213, 10632, 21542, 3794, 16758, 4032, 8717, 5016, 35457, 4724, 3794, 2423, 2158, 13672, 1829, 39894, 2407, 36520, 24976, 5016, 1211], "avg_logprob": -0.20111268329800983, "compression_ratio": 1.894941634241245, "no_speech_prob": 1.4901161193847656e-06, "words": [{"start": 2642.74, "end": 2643.34, "word": "هو", "probability": 0.5423583984375}, {"start": 2643.34, "end": 2643.64, "word": " عشان", "probability": 0.9446614583333334}, {"start": 2643.64, "end": 2643.96, "word": " يطلع", "probability": 0.92138671875}, {"start": 2643.96, "end": 2644.08, "word": " ال", "probability": 0.66455078125}, {"start": 2644.08, "end": 2644.34, "word": " value", "probability": 0.79296875}, {"start": 2644.34, "end": 2644.84, "word": " النهائي", "probability": 0.912353515625}, {"start": 2644.84, "end": 2645.26, "word": " و", "probability": 0.412109375}, {"start": 2645.26, "end": 2645.46, "word": " هو", "probability": 0.91552734375}, {"start": 2645.46, "end": 2646.0, "word": " برجع", "probability": 0.8450520833333334}, {"start": 2646.0, "end": 2646.42, "word": " مش", "probability": 0.94775390625}, {"start": 2646.42, "end": 2647.06, "word": " هيحسب", "probability": 0.9353841145833334}, {"start": 2647.06, "end": 2647.88, "word": " كل", "probability": 0.96728515625}, {"start": 2647.88, "end": 2648.9, "word": " الخلايا", "probability": 0.9484049479166666}, {"start": 2648.9, "end": 2649.34, "word": " هيحسب", "probability": 0.84619140625}, {"start": 2649.34, "end": 2649.54, "word": " بس", "probability": 0.954345703125}, {"start": 2649.54, "end": 2650.0, "word": " الخلايا", "probability": 0.9182942708333334}, {"start": 2650.0, "end": 2650.26, "word": " اللازمة", "probability": 0.9803059895833334}, {"start": 2650.26, "end": 2650.6, "word": " هنشوف", "probability": 0.8275146484375}, {"start": 2650.6, "end": 2651.0, "word": " المحاضرة", "probability": 0.8697509765625}, {"start": 2651.0, "end": 2651.36, "word": " الجاية", "probability": 0.7830403645833334}, {"start": 2651.36, "end": 2652.02, "word": " كيف", "probability": 0.977294921875}, {"start": 2652.02, "end": 2652.42, "word": " الكلمة", "probability": 0.6626790364583334}, {"start": 2652.42, "end": 2652.56, "word": " ده", "probability": 0.865966796875}, {"start": 2652.56, "end": 2652.94, "word": " بتتم", "probability": 0.775390625}, {"start": 2652.94, "end": 2653.84, "word": " المحاضرة", "probability": 0.9290771484375}, {"start": 2653.84, "end": 2654.1, "word": " الجاية", "probability": 0.9293619791666666}, {"start": 2654.1, "end": 2654.4, "word": " بن", "probability": 0.80419921875}, {"start": 2654.4, "end": 2654.5, "word": " ..", "probability": 0.339111328125}, {"start": 2654.5, "end": 2654.7, "word": " يعني", "probability": 0.933837890625}, {"start": 2654.7, "end": 2654.94, "word": " بنعمل", "probability": 0.8567708333333334}, {"start": 2654.94, "end": 2655.34, "word": " مراجعة", "probability": 0.8419189453125}, {"start": 2655.34, "end": 2655.7, "word": " سريعة", "probability": 0.84228515625}, {"start": 2655.7, "end": 2656.02, "word": " لل", "probability": 0.55029296875}, {"start": 2656.02, "end": 2657.64, "word": " NABSAG", "probability": 0.479400634765625}, {"start": 2657.64, "end": 2658.08, "word": " problem", "probability": 0.7578125}, {"start": 2658.08, "end": 2658.94, "word": " و", "probability": 0.86865234375}, {"start": 2658.94, "end": 2659.24, "word": " ..", "probability": 0.66259765625}, {"start": 2659.24, "end": 2659.7, "word": " و", "probability": 0.96142578125}, {"start": 2659.7, "end": 2660.36, "word": " بنشوف", "probability": 0.9606119791666666}, {"start": 2660.36, "end": 2660.58, "word": " كيف", "probability": 0.983154296875}, {"start": 2660.58, "end": 2660.88, "word": " الجدول", "probability": 0.6085611979166666}, {"start": 2660.88, "end": 2661.02, "word": " هنا", "probability": 0.552734375}, {"start": 2661.02, "end": 2661.18, "word": " ده", "probability": 0.95361328125}, {"start": 2661.18, "end": 2661.52, "word": " ممكن", "probability": 0.98974609375}, {"start": 2661.52, "end": 2662.84, "word": " نوفر", "probability": 0.8951822916666666}, {"start": 2662.84, "end": 2664.08, "word": " ..", "probability": 0.6337890625}, {"start": 2664.08, "end": 2665.7, "word": " نوفر", "probability": 0.9718424479166666}, {"start": 2665.7, "end": 2665.94, "word": " عملية", "probability": 0.9920247395833334}, {"start": 2665.94, "end": 2666.34, "word": " الحساب", "probability": 0.9912109375}, {"start": 2666.34, "end": 2666.44, "word": " و", "probability": 0.9794921875}, {"start": 2666.44, "end": 2666.72, "word": " نحسب", "probability": 0.9729817708333334}, {"start": 2666.72, "end": 2667.12, "word": " بس", "probability": 0.99365234375}, {"start": 2667.12, "end": 2668.06, "word": " ال", "probability": 0.98193359375}, {"start": 2668.06, "end": 2668.36, "word": " value", "probability": 0.986328125}, {"start": 2668.36, "end": 2668.74, "word": " اللي", "probability": 0.911376953125}, {"start": 2668.74, "end": 2670.02, "word": " بتوصل", "probability": 0.7259114583333334}, {"start": 2670.02, "end": 2670.42, "word": " للحل", "probability": 0.9368489583333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2670.92175, "duration_after_vad": 2533.5518749999933}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/WesFlFDQHQg_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/WesFlFDQHQg_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..76abeab08e6fb658b604dad146c5277ceec8604b
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/WesFlFDQHQg_postprocess.srt
@@ -0,0 +1,1712 @@
+1
+00:00:20,770 --> 00:00:22,770
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:22,770 --> 00:00:26,670
+المرسلين اليوم ان شاء الله بنكمل من مطرح ما
+
+3
+00:00:26,670 --> 00:00:30,250
+انتهينا المحاضرة الماضية كنا بنحكي فيه اللي هو ال
+
+4
+00:00:30,250 --> 00:00:33,510
+algorithmic اللي فيها .. مش فيها recursion فيها
+
+5
+00:00:33,510 --> 00:00:39,430
+iterations وكان الهدف أنه احنا نحاول نقدر او نحسب
+
+6
+00:00:39,430 --> 00:00:43,330
+او major يعني اللي هو ال running timeالـ Running
+
+7
+00:00:43,330 --> 00:00:46,750
+Time اللي على أساسه بعد ذلك لما نطلع انا بـ T of N
+
+8
+00:00:46,750 --> 00:00:50,730
+اللي Running Time بقدر بعد ذلك أقيمها انها Big O
+
+9
+00:00:50,730 --> 00:00:54,850
+of .. يعني ال complexity تبعها فكان الهدف بس قاصر
+
+10
+00:00:54,850 --> 00:00:57,670
+على حساب ال Running أو Measuring Running Time كان
+
+11
+00:00:57,670 --> 00:01:00,790
+اخر مثال اللي وجفنا عنده اللي هو المثال هذا تبع
+
+12
+00:01:00,790 --> 00:01:07,210
+ضرب مصففتين مربعتين يعني ال same dimension التنتين
+
+13
+00:01:07,210 --> 00:01:14,860
+okay وفهمنا ال algorithm وفهمنا خطواتهاو استقرنا
+
+14
+00:01:14,860 --> 00:01:19,280
+على أن هذه هي عبارة عن ال basic operation هي basic
+
+15
+00:01:19,280 --> 00:01:23,820
+operation ولكنها في واقع الأمر مركبة من
+
+16
+00:01:23,820 --> 00:01:28,460
+multiplication و addition صح؟ و أيضا كمان تقدر
+
+17
+00:01:28,460 --> 00:01:31,340
+تعتبر ال assignment كمان عبارة عن برضه كمان
+
+18
+00:01:31,340 --> 00:01:35,860
+instruction أخرى فهي operation الوحيدة اللي بتتكرر
+
+19
+00:01:35,860 --> 00:01:41,150
+في تلاتة في عندي تلاتة loops ال K هذهالـ K هذه
+
+20
+00:01:41,150 --> 00:01:44,930
+اللي هي الداخلية اللوب الداخلية اللي هي عمليا من
+
+21
+00:01:44,930 --> 00:01:49,150
+ال algorithm بتلف في هذا ال loop على عناصر كل
+
+22
+00:01:49,150 --> 00:01:54,430
+عناصر السطر الواحد مع عناصر العمود أو كده بيعتبرهم
+
+23
+00:01:54,430 --> 00:01:59,870
+انه العمود قريه و السطر قريه و بتضربهم و بتجمع هذا
+
+24
+00:01:59,870 --> 00:02:03,090
+الكلام للسطر الواحد مع العمود الواحد بتكرر هذا
+
+25
+00:02:03,090 --> 00:02:07,570
+الأمر لكل الأسطروبتكرر هذا الأمر اللي هو تكرار
+
+26
+00:02:07,570 --> 00:02:10,630
+الأسطور مع الأمود الواحد بتكرر على الأعمدة كلها في
+
+27
+00:02:10,630 --> 00:02:14,890
+عندي تلاتة loops تلاتة
+
+28
+00:02:14,890 --> 00:02:18,850
+loops ولا مش تلاتة loops في الآخر ال algorithm
+
+29
+00:02:18,850 --> 00:02:23,830
+لازم تلف على كل عناصر المصففتين يعني لو قلت مثلا
+
+30
+00:02:23,830 --> 00:02:28,550
+أنا in هنا small in هنا small in in هذه بدنا نذكر
+
+31
+00:02:28,550 --> 00:02:31,730
+ان in هذه هي ال dimension تبع المصفوفة الواحدة
+
+32
+00:02:31,730 --> 00:02:37,550
+ماهياش ال input size ولا لاما ذكرناش هذا الكلام من
+
+33
+00:02:37,550 --> 00:02:41,470
+المحاضرة الماضية N هي عبارة عن dimension فانا لما
+
+34
+00:02:41,470 --> 00:02:48,210
+بقول انه المصفوفة بعدها N طب انا عندي مصفوفتين صح
+
+35
+00:02:48,210 --> 00:02:53,970
+ولا لأ المصفوفة الواحدة عدد عناصرها N تربية وعندي
+
+36
+00:02:53,970 --> 00:02:57,470
+اتنين يبقى اتنين N تربية فال input size بدي ارمزله
+
+37
+00:02:57,470 --> 00:03:01,970
+ب capital N بسوء اتنين N تربية هذا ال input size
+
+38
+00:03:01,970 --> 00:03:05,280
+يعني لما بدي احكي عن ال timeبدي احكي عن ال time
+
+39
+00:03:05,280 --> 00:03:09,960
+تبع in capital مش ال time تبع in small لأن in
+
+40
+00:03:09,960 --> 00:03:13,460
+small في الحالة هذه في المثال هذا ترمز مش ل ال
+
+41
+00:03:13,460 --> 00:03:15,360
+input size احنا قولنا ال input size هو كافة
+
+42
+00:03:15,360 --> 00:03:21,560
+العناصر كافة العناصر هي عبارة عن اللي هو ايش اللي
+
+43
+00:03:21,560 --> 00:03:27,100
+هو كل ال elements تبعت المصففتين
+
+44
+00:03:27,100 --> 00:03:34,530
+اللي هو ال input تبعها طيب الآن هذا الالـ time
+
+45
+00:03:34,530 --> 00:03:39,050
+تتعامل مع هذا الحجم من ال input قلنا فيه تلاتة
+
+46
+00:03:39,050 --> 00:03:53,050
+loops اللوب الأول دي بدت تتنفس عدد K من المرات كيف
+
+47
+00:03:53,050 --> 00:03:58,790
+هو رمزلها عدد
+
+48
+00:03:58,790 --> 00:04:00,670
+K عدد K من المرات
+
+49
+00:04:04,650 --> 00:04:11,130
+عملية الضرب بدا تتنفذ عدد K من المرات نضرب
+
+50
+00:04:11,130 --> 00:04:23,650
+هذا في هذا هذا في هذا صح عدد أكتر من المرات صح
+
+51
+00:04:23,650 --> 00:04:28,830
+اللي هو جديش اللي
+
+52
+00:04:28,830 --> 00:04:37,390
+هو in small in small صح كم ساويبساوي من من من zero
+
+53
+00:04:37,390 --> 00:04:44,350
+او من واحد as if ل N بنضرب اذا هم اذا N small
+
+54
+00:04:44,350 --> 00:04:51,130
+بساوي خمسة بنضرب خمس عناصر في بعض هذه ال .. هذه ال
+
+55
+00:04:51,130 --> 00:04:54,470
+..
+
+56
+00:04:54,470 --> 00:04:57,950
+فش لا احنا .. احنا by definition ال problem بتقول
+
+57
+00:04:57,950 --> 00:05:02,210
+two n by n matrices يعني ال matrix الواحدة أبعادها
+
+58
+00:05:02,670 --> 00:05:08,150
+N في N مافيش N في M يعني تقولي N بساوة 2 و M بساوة
+
+59
+00:05:08,150 --> 00:05:13,470
+3 هذا الكلام بيتم فيه عدد واحد operation واحد
+
+60
+00:05:13,470 --> 00:05:18,710
+operation بديت تتكرر N من المرات هذه كلها بديت
+
+61
+00:05:18,710 --> 00:05:25,070
+تتكرر جداش J من المرات J تبدأ من واحد إلى J اللي
+
+62
+00:05:25,070 --> 00:05:34,420
+هي الأعمد أكم عمود برضه Nصح كم عمود مشي البعد in
+
+63
+00:05:34,420 --> 00:05:39,500
+في in تمام
+
+64
+00:05:39,500 --> 00:05:44,480
+هذا كله بيتكرر عدد جديش من المرات I I بتبدأ من
+
+65
+00:05:44,480 --> 00:05:53,220
+واحد ل .. برضه in تمام يبقى في عندي واحد بيتكرر
+
+66
+00:05:53,220 --> 00:05:58,220
+عملية بتكرر in من المرات هي in ضرب in ضرب in
+
+67
+00:06:07,220 --> 00:06:12,600
+مظبوط هيك؟ هو
+
+68
+00:06:12,600 --> 00:06:15,260
+رمزيها بال M أنا رمزيها بال T
+
+69
+00:06:35,010 --> 00:06:40,090
+طيب اخر مثال او مثال الرابع اشوف يبعده في
+
+70
+00:06:40,090 --> 00:06:44,570
+selection sort تمام selection sort برضه بنشوفه
+
+71
+00:06:44,570 --> 00:06:49,650
+مثال الرابع اللي هو انه انا في عندي algorithm مش
+
+72
+00:06:49,650 --> 00:06:53,790
+بالظبط بتعمل تحويل من decimal ل binary بتعرفوا
+
+73
+00:06:53,790 --> 00:06:58,630
+طريقة التحويل من decimal ل binary بنقسم على اتنين
+
+74
+00:06:58,630 --> 00:07:05,660
+بناخد الرقم بنقول مثلا رقم 18 اه بنجسمبنجسم على
+
+75
+00:07:05,660 --> 00:07:14,960
+اتنين بطلع تسعة واش الباقي Zero تسعة على اتنين
+
+76
+00:07:14,960 --> 00:07:22,440
+اربع وباقي واحد اتنين
+
+77
+00:07:22,440 --> 00:07:29,800
+وباقي Zero اتنين على اتنين واحد وباقي Zero اه
+
+78
+00:07:29,800 --> 00:07:37,800
+بعدين0 و باقي واحد يبقى ال ال ال ال تمانتعش هي
+
+79
+00:07:37,800 --> 00:07:44,640
+عبارة من تحت لفوق مظبوط هذه الستة عشر وهذه الأتنين
+
+80
+00:07:44,640 --> 00:07:48,730
+اتنين وستة عشر تمانتعشأحنا هنا الـ Algorithm مش
+
+81
+00:07:48,730 --> 00:07:52,050
+مطلوب منها تعمل عملية تحويل مطلوب منها فقط اتعدد
+
+82
+00:07:52,050 --> 00:07:57,010
+عدد ال digits عدد ال binary digits هذا بناعطيها
+
+83
+00:07:57,010 --> 00:08:01,670
+رقم تمانية تمانتاش خمسمية و عشرية أي رقم و هي
+
+84
+00:08:01,670 --> 00:08:05,510
+تقوللي هذا الرقم لما انت حول إلى binary بيكون فيه
+
+85
+00:08:05,510 --> 00:08:09,790
+محتاج إلى عدد كذا من ال bits okay فهي هتعمل
+
+86
+00:08:09,790 --> 00:08:14,580
+العملية القسم هذه إنما مش هتسجلباقي القسمة و تطلع
+
+87
+00:08:14,580 --> 00:08:19,380
+ليها لأ هي بس بتعد أكام مرة حصلت القسمة ولا لأ لأن
+
+88
+00:08:19,380 --> 00:08:25,300
+كل مرة بتحصل القسمة بتطلع ليه فال algorithm بتبدأ
+
+89
+00:08:25,300 --> 00:08:30,280
+في عندي عداد counter اسمه count بيبدأ بواحد علم ان
+
+90
+00:08:30,280 --> 00:08:38,620
+أكبر من واحد بتستمر علم ان أكبر من واحد بتستمر لما
+
+91
+00:08:38,620 --> 00:08:45,310
+ان تصل ل zero بتجفالـ count بيساوي count plus one
+
+92
+00:08:45,310 --> 00:08:50,190
+بعد ذلك بناخد n على اتنين و بناخد ال floor يعني ال
+
+93
+00:08:50,190 --> 00:08:54,570
+integer اللي على طول فال
+
+94
+00:08:54,570 --> 00:09:00,970
+18 تقسيم اتنين تسعة بعد ذلك هذا ال n أصبح هو ال n
+
+95
+00:09:00,970 --> 00:09:04,650
+الجديد هذا الرقم أصبح هو ال n الجديد في ال loop
+
+96
+00:09:04,650 --> 00:09:09,090
+اللي في ال iteration التالية بشوف هل ال n لسه أكبر
+
+97
+00:09:09,090 --> 00:09:13,840
+من واحد ولا نزلتOkay فهذا الآن وين ال basic
+
+98
+00:09:13,840 --> 00:09:16,340
+operations أول سؤال بنسأله وين ال basic operations
+
+99
+00:09:16,340 --> 00:09:20,160
+في هذه ال algorithm اللي هم هذا و لا ال tintين
+
+100
+00:09:20,160 --> 00:09:24,680
+عملية جمع و assignment عملية قسمة و assignment بدك
+
+101
+00:09:24,680 --> 00:09:28,060
+تعتبرهم operation واحدة بدك تعتبرهم tintين بدك
+
+102
+00:09:28,060 --> 00:09:31,800
+تعتبرهم tintين كل واحد فيها tintين مش قضية لأنه
+
+103
+00:09:31,800 --> 00:09:37,660
+constant اه و ال constant هذا في الآخر في الغرض
+
+104
+00:09:37,660 --> 00:09:41,500
+النهائي تبعنا اللي هو حساب ال complexityو
+
+105
+00:09:41,500 --> 00:09:45,060
+classifying هذا ال algorithm في أي order of growth
+
+106
+00:09:45,060 --> 00:09:49,640
+ما بيفرجش بيدكي نقول ال cost تبع ال basic
+
+107
+00:09:49,640 --> 00:09:55,200
+operation سوى أربعة اتنين واحد المهم أنه الأهم من
+
+108
+00:09:55,200 --> 00:09:59,740
+ذلك هو عدد مرات التكرار عدد مرات التكرار أكم مرة
+
+109
+00:09:59,740 --> 00:10:04,340
+بتتكرر هذه ال loop N
+
+110
+00:10:04,340 --> 00:10:10,910
+من المرات خلي بالك أن ال N نفسها بتتغيرإن اللي
+
+111
+00:10:10,910 --> 00:10:16,470
+دخلت الـ 18 بعد شوية هصير 9 بعد شوية هصير 4 بعد
+
+112
+00:10:16,470 --> 00:10:19,910
+شوية هصير 2 يعني عدد مرات التكرار أصلا هو عدد مرات
+
+113
+00:10:19,910 --> 00:10:22,710
+التكرار هو عدد ال digits اللي في ال .. في الهدف
+
+114
+00:10:22,710 --> 00:10:29,710
+فإحنا إيش بنقول عدد مرات التكرار؟ بنقول log N يعني
+
+115
+00:10:29,710 --> 00:10:33,750
+الـ N نفس الـ 18 هذه إيش ال log تبقى .. يعني إيش
+
+116
+00:10:33,750 --> 00:10:39,390
+الرقم؟ أُس 2 بيعطيني 18 طبعا 2 أُسأربعة بيعطينا
+
+117
+00:10:39,390 --> 00:10:43,830
+ستة اش نقص خمسة بيعطينا اتنين و تلاتين مظبوط فال
+
+118
+00:10:43,830 --> 00:10:47,550
+log تبقى ال 18 اشي ما بين الأربعة و الخمسة فاحنا
+
+119
+00:10:47,550 --> 00:10:54,370
+هناخد ال base او ال floor log n ايه طب انا كاتبها
+
+120
+00:10:54,370 --> 00:11:02,370
+ايوة باخد الأربعة okay ال time ال time of اش
+
+121
+00:11:02,370 --> 00:11:10,490
+بيساوي زائد في عنديفي عندي العملية الأولى اللى هى
+
+122
+00:11:10,490 --> 00:11:16,210
+ال count الاصطناعي initializing مش في عندي count
+
+123
+00:11:16,210 --> 00:11:22,070
+بتساوي واحد فى البداية فباضيفها فانا عندي عدد مرات
+
+124
+00:11:22,070 --> 00:11:27,270
+التنفيذ ال basic operations اللى هو اللى جوا ال
+
+125
+00:11:27,270 --> 00:11:31,350
+loop زائد اللى برا هذه نعم ال time دايما بجيهه
+
+126
+00:11:31,350 --> 00:11:36,430
+بنفس الطريقة ايش
+
+127
+00:11:36,430 --> 00:11:36,950
+قصدك؟
+
+128
+00:11:41,050 --> 00:11:45,010
+ما هو هذا احنا ليش كنا بنستعرض هذه ال algorithm
+
+129
+00:11:45,010 --> 00:11:49,590
+عشان نشوف انه على حسب ال algorithm بدنا .. بدي
+
+130
+00:11:49,590 --> 00:11:53,950
+اختلف ال time ال z واحد عشان ال count الأولانية مش
+
+131
+00:11:53,950 --> 00:11:57,770
+كان في جابل ال loop مش كان في while in أكبر من
+
+132
+00:11:57,770 --> 00:12:02,190
+واحد و قبلها في count بساوي واحد بس انا حسبت ليش
+
+133
+00:12:03,900 --> 00:12:06,800
+حسبت السطر هذا على ان واحدة من ال operations
+
+134
+00:12:06,800 --> 00:12:10,380
+فضيفته انا هنا بنعد ال operations ولا لأ ال T of N
+
+135
+00:12:10,380 --> 00:12:15,640
+هذا عدد ال operations كم مرة بدو تنفس خلّي بالك
+
+136
+00:12:15,640 --> 00:12:18,820
+انت وايضا كمان ممكن تتطلع على ال condition تبع ال
+
+137
+00:12:18,820 --> 00:12:21,900
+while loop في كل واحدة من ال iterations هنا في
+
+138
+00:12:21,900 --> 00:12:29,300
+condition بينفحص بس هذا بينفحص يعني مع ال طيب الآن
+
+139
+00:12:29,300 --> 00:12:35,550
+هذاتقديرنا لزمن تبع هذه الألغا تطلع على المثال
+
+140
+00:12:35,550 --> 00:12:40,670
+اللي بعده نسأل السؤال ال worst case و ال best case
+
+141
+00:12:40,670 --> 00:12:44,750
+سألنا سؤال ال worst case و ال best case في المثال
+
+142
+00:12:44,750 --> 00:12:50,990
+هذا اظن بذكر و قلنا ان هذا الحال كله نفس ال case
+
+143
+00:12:50,990 --> 00:12:58,920
+صح هنا برضه كله نفس ال caseهو بغض النظر ال N ده
+
+144
+00:12:58,920 --> 00:13:04,700
+خلاص أجاني أي رقم مافيش يعني ع ال 18 لحالها مافيش
+
+145
+00:13:04,700 --> 00:13:09,300
+حالات ال algorithm محتاج تغير بسرعة و حالات بسرعة
+
+146
+00:13:09,300 --> 00:13:12,900
+ع ال 18 لحالة يعني ع ال input للواحد تلخبطوش في
+
+147
+00:13:12,900 --> 00:13:15,900
+الحكاية ال worst case و ال best case احنا دايما
+
+148
+00:13:15,900 --> 00:13:19,510
+بنحكي worst case و best case على نفس ال inputهل في
+
+149
+00:13:19,510 --> 00:13:24,290
+لنفس ال input size له حالات متعددة اللي بعض منها
+
+150
+00:13:24,290 --> 00:13:28,830
+يشكل worst case وبعض منها يشكل best case لنفس ال
+
+151
+00:13:28,830 --> 00:13:35,270
+input size الواحد طيب الان selection sort ال
+
+152
+00:13:35,270 --> 00:13:38,490
+selection sort لو حد بتذكره أو مار علينا قبل هيك
+
+153
+00:13:38,490 --> 00:13:42,530
+من اسمه selection انه احنا بيجي في عندي طبعا برضه
+
+154
+00:13:42,530 --> 00:13:44,690
+list او array
+
+155
+00:13:48,340 --> 00:13:56,640
+بجف على أول عنصر و ببحث في إيش في كل العناصر اللي
+
+156
+00:13:56,640 --> 00:14:02,040
+بعيد okay بدور على مين على أصغر واحد بدور على أصغر
+
+157
+00:14:02,040 --> 00:14:06,960
+واحد لما أنا لاجيه بروح بحطه هنا و بحط هذا مكانه
+
+158
+00:14:08,020 --> 00:14:13,280
+ماشي يعني انا في الموضوع I بابحث عن العنصر اللي
+
+159
+00:14:13,280 --> 00:14:17,960
+يجب ان يكون في I انا في ال I بيساوي واحد يعني في
+
+160
+00:14:17,960 --> 00:14:21,900
+اول ال list بابحث عن العنصر اللي يجب ان يكون في
+
+161
+00:14:21,900 --> 00:14:26,520
+اول ال list اللي انا وجفت على I بيساوي اتنين من
+
+162
+00:14:26,520 --> 00:14:30,080
+العنصر اللي يجب ان يكون في الموضوع رقم اتنين هو
+
+163
+00:14:30,080 --> 00:14:34,180
+تاني اصغر واحد اول اصغر واحد تاني اصغر واحد تالت
+
+164
+00:14:34,180 --> 00:14:37,970
+اصغر واحد فانا بعمل selection هنا عشان اجيبو احطه
+
+165
+00:14:37,970 --> 00:14:42,790
+في المكان الصحيح لازم افر ال list هذا كله او
+
+166
+00:14:42,790 --> 00:14:46,650
+الباقي هذا كله عشان اختار ال minimum عشان احطه
+
+167
+00:14:46,650 --> 00:14:49,670
+يبقى
+
+168
+00:14:49,670 --> 00:14:54,970
+شبيه بالمثال
+
+169
+00:14:54,970 --> 00:14:58,350
+تبع ال uniqueness
+
+170
+00:15:01,820 --> 00:15:05,700
+تذكروا المثال هذا لما كنا بنقول أنا الهدف ان اشوف
+
+171
+00:15:05,700 --> 00:15:10,000
+ال list كلها distinct ولا لأ فعشان افحص انها
+
+172
+00:15:10,000 --> 00:15:12,680
+distinct ولا لأ باجف على الانصر و بقارن كل اللي
+
+173
+00:15:12,680 --> 00:15:15,820
+بعده و اشوف في واحد تاني يطابقه مش ببحث عن ال
+
+174
+00:15:15,820 --> 00:15:22,200
+minimum بشوف اذا في واحد يطابقه الاختلاف انه انا
+
+175
+00:15:22,200 --> 00:15:27,440
+هنا في worst case و best caseصح انه لو لجيت واحد
+
+176
+00:15:27,440 --> 00:15:32,460
+يطابقه انتهت الشغل كله بس في ال sort لازم ألف
+
+177
+00:15:32,460 --> 00:15:37,200
+هدولة كلهم هنا لو انا مشيت و لجيت واحد بس يطابق مش
+
+178
+00:15:37,200 --> 00:15:42,040
+محتاج أكمل okay يبقى مثل ال worst case و best case
+
+179
+00:15:42,040 --> 00:15:48,920
+هنا في ال selection sort كله
+
+180
+00:15:48,920 --> 00:15:55,590
+نفسه سواء كانت ال array امرتبةولّا مش مرتبة مرتبة
+
+181
+00:15:55,590 --> 00:16:01,330
+بالعكس أه ولا مش مرتبة لازم ألف عليها عشان أتأكد
+
+182
+00:16:01,330 --> 00:16:06,990
+ألف عليها بل فالان ال time هنا كده كان ال time ال
+
+183
+00:16:06,990 --> 00:16:10,910
+time هنا هو نفس ال time تبقى ال worst case هناك صح
+
+184
+00:16:10,910 --> 00:16:16,450
+اللي هو إيش كان تذكره إذا
+
+185
+00:16:16,450 --> 00:16:21,870
+احنا قولنا في two loops أين راحت اه احنا شوف أما
+
+186
+00:16:21,870 --> 00:16:30,310
+الكتاب في two loopstwo loops هو
+
+187
+00:16:30,310 --> 00:16:38,870
+هنا محللها ال inner loop ال inner loop بتمشي من I
+
+188
+00:16:38,870 --> 00:16:42,490
+plus one انا هنا في I و بدأ بدأ من I plus one
+
+189
+00:16:42,490 --> 00:16:50,010
+لغاية نهاية القرين عملية
+
+190
+00:16:50,010 --> 00:16:53,650
+واحدة اللي بتنعمل اللي هي المقارنة
+
+191
+00:16:55,080 --> 00:16:59,420
+إيه التبديل بيحصل فقط إذا كان مرة واحدة بتحصل
+
+192
+00:16:59,420 --> 00:17:08,580
+التبديل أهي بنات هذه احنا في كل مرة من مرات ال
+
+193
+00:17:08,580 --> 00:17:15,780
+loop الداخلية بنفحص ال condition هذا هل هل
+
+194
+00:17:15,780 --> 00:17:17,300
+ال
+
+195
+00:17:20,830 --> 00:17:23,490
+هل ال .. و احنا واقفين عليه الـ J و احنا واقفين
+
+196
+00:17:23,490 --> 00:17:30,530
+عليه أقل من ال minimum هو المفروض هى اللى تبقى
+
+197
+00:17:30,530 --> 00:17:37,670
+minimum مش A of minimum و لا لأ اه اه ال answer
+
+198
+00:17:37,670 --> 00:17:44,170
+اللى انا واقف عليه ال I اللى انا واقف عليه صحيح
+
+199
+00:17:46,180 --> 00:17:49,600
+فهذا المهم ال condition بيتم كل مرة من مرات اللي
+
+200
+00:17:49,600 --> 00:17:53,440
+انما هذا فقط اذا تحقق ال condition هذا بتنفذ فما
+
+201
+00:17:53,440 --> 00:18:01,140
+هوش basic operation okay all right وطبعا هذا معاه
+
+202
+00:18:01,140 --> 00:18:04,060
+يعني هدول اتنين انه انا بحط ال G على ال min و
+
+203
+00:18:04,060 --> 00:18:12,530
+بعدين ببدل ال min مكان ال جي okayأنا مارجع تاني في
+
+204
+00:18:12,530 --> 00:18:16,710
+عندي ال inner loop بتمشي عدد من I plus one ل N نقص
+
+205
+00:18:16,710 --> 00:18:22,790
+واحد من المرات تذكروا لما حللنا الموضوع ان N نقص
+
+206
+00:18:22,790 --> 00:18:30,410
+واحد ا
+
+207
+00:18:30,410 --> 00:18:37,090
+بعدين N نقص اتنين الى غاية one هو هنا معبر عنها
+
+208
+00:18:37,090 --> 00:18:43,150
+على أساس N نقص واحد نقص Iلاحظ ان I بتبدأ من 1 ال
+
+209
+00:18:43,150 --> 00:18:46,850
+index هنا Zero اول واحد Zero فال I بتبدأ من واحد
+
+210
+00:18:46,850 --> 00:18:52,030
+فانا في عندي عندي
+
+211
+00:18:52,030 --> 00:18:56,570
+ايش لما
+
+212
+00:18:56,570 --> 00:18:59,950
+ال I بيبقى واحد لما ال I بيبقى ..قولي من البداية I
+
+213
+00:18:59,950 --> 00:19:05,470
+بيساوي Zero هذا الحد بيساوي ايش ال نقص واحد لما I
+
+214
+00:19:05,470 --> 00:19:11,620
+بيساوي واحدن نقص واحد نقص واحد ويساوي N نقص اتنين
+
+215
+00:19:11,620 --> 00:19:18,540
+لما I بيساوي اتنين N نقص تلاتة N نقص اربعة لغاية
+
+216
+00:19:18,540 --> 00:19:23,600
+ما ما نصل لإيش ل I بيساوي N نقص واحد مش احنا
+
+217
+00:19:23,600 --> 00:19:28,900
+بننتهي عند N نقص واحد N نقص واحد شيل منها N نقص
+
+218
+00:19:28,900 --> 00:19:32,340
+واحد عشان بيبقى Zero اللي جاب منه اللي هو ال one
+
+219
+00:19:32,340 --> 00:19:40,210
+صح هذا ال inner loopبتنعمل .. بتمشي N نقص واحد نقص
+
+220
+00:19:40,210 --> 00:19:43,890
+I من المرات أكم مرة بتتعمل هذه .. بتتكرر هذه المرة
+
+221
+00:19:43,890 --> 00:19:48,930
+.. هذه العملية بتتكرر من .. في .. عدة مرات I بتبدأ
+
+222
+00:19:48,930 --> 00:19:53,850
+من I بسبب Zero ل .. ل N نقص اتنين okay فهدولة ..
+
+223
+00:19:53,850 --> 00:20:00,810
+هدولة ال terms هم اللي بينجمعوا في المصفوفة في ال
+
+224
+00:20:00,810 --> 00:20:05,410
+.. في ال .. في اللوب الخارجي صح؟ اللوب الخارجية
+
+225
+00:20:08,480 --> 00:20:14,760
+كل واحد منهم هو عدد مرات تنفيذ اللوب الداخلية هذا
+
+226
+00:20:14,760 --> 00:20:19,860
+عدد مرات تنفيذ اللوب الداخلية في I0 هذا في I1 I2
+
+227
+00:20:19,860 --> 00:20:25,980
+I3 مجموحهم كله هو هذا اللي هو N plus one على اتنين
+
+228
+00:20:50,200 --> 00:20:56,220
+بقى بحاول نفصلها خلّينا
+
+229
+00:20:56,220 --> 00:21:04,280
+نفصلها بشكل أوضح شوية يعني عندي انا ال outer loop
+
+230
+00:21:04,280 --> 00:21:10,860
+ال outer loop هي اللي بتعطيني لأنه هي و اللي جواها
+
+231
+00:21:10,860 --> 00:21:16,620
+بيعطيني العدد ال iterations كلها هذا يساوي عدد
+
+232
+00:21:16,620 --> 00:21:23,160
+مرات عدد ال operations يساويالمجموعة تبع عدد مرات
+
+233
+00:21:23,160 --> 00:21:29,020
+ال operations عدد مرات تكرار اللوب الداخلية هذا S
+
+234
+00:21:29,020 --> 00:21:34,020
+كبتل هنا يرمز إلى عدد مرات تكرار اللوب الداخلية
+
+235
+00:21:34,020 --> 00:21:41,120
+هذا العدد متغير بقى تمد على I و I بتبدأ من Zeroإيه
+
+236
+00:21:41,120 --> 00:21:47,100
+ليش N نقص 2 لأنه زي مثال الـ distinctness أني لازم
+
+237
+00:21:47,100 --> 00:21:52,580
+I تجف على N نقص 2 عشان أقارنها عشان أبحث في اللي
+
+238
+00:21:52,580 --> 00:21:58,200
+بعدها عن ال minimum صح؟ يبقى السؤال هذا المقدار
+
+239
+00:21:58,200 --> 00:22:03,120
+جديش أنا بدأت من هنا عشان أرجع لهذه هذا السؤال هذا
+
+240
+00:22:03,120 --> 00:22:08,980
+المقدار جديش حياته حسبه على إنه هيك okayفأصبح
+
+241
+00:22:08,980 --> 00:22:15,100
+يساوي المجموع تبع كل ال terms I بيساوي 0 ل N ناقص
+
+242
+00:22:15,100 --> 00:22:23,700
+2 of إيش هذا الكلام N ناقص واحد ناقص I احنا
+
+243
+00:22:23,700 --> 00:22:28,120
+الآن ممكن نفصل ال summation هذه إلى جزئين هي ال
+
+244
+00:22:28,120 --> 00:22:36,980
+summation لهذا الجزء ناقص واحد أسف ناقص
+
+245
+00:22:38,320 --> 00:22:52,240
+Summation تبع هذا الجزء الأخير اللي هو الـ I طيب
+
+246
+00:22:52,240 --> 00:22:59,900
+هذا ال summation تبع ايش؟
+
+247
+00:22:59,900 --> 00:23:01,960
+أنا عند ال basic formula هذه بتقول ليه؟ إذا أنت
+
+248
+00:23:01,960 --> 00:23:11,240
+قاعد بتجمع مجموعة حدودمن I0 إلى sum N فالمجموع
+
+249
+00:23:11,240 --> 00:23:16,480
+النهائي يساوي N ضرب N زي واحد على اتنين انا عندي I
+
+250
+00:23:16,480 --> 00:23:23,060
+بجمعها من Zero ل N نقص اتنين بضعوت بدل I احط نقص
+
+251
+00:23:23,060 --> 00:23:29,680
+اتنين مظبوط؟
+
+252
+00:23:40,600 --> 00:23:43,340
+و أيضا كمان بدي استخدم نفس ال basic formula دي
+
+253
+00:23:43,340 --> 00:23:58,040
+عشان هذا الشق التاني لأن هذه طلع من هنا من وين؟
+
+254
+00:23:58,040 --> 00:24:03,400
+لحظة
+
+255
+00:24:03,400 --> 00:24:10,040
+شوية بس هذا المفروض هو الشق تبع مين؟ تبع هذه
+
+256
+00:24:15,820 --> 00:24:21,920
+من نقص اتنين نقص
+
+257
+00:24:21,920 --> 00:24:26,880
+اتنين ترب
+
+258
+00:24:26,880 --> 00:24:42,760
+صح
+
+259
+00:24:42,760 --> 00:24:48,890
+ليش بده اسوي بده اعوضفي هدا بدي اشيل ال I و احط
+
+260
+00:24:48,890 --> 00:24:56,630
+بدلها N نقص اتنين عوض في ال solution يعني وين ما
+
+261
+00:24:56,630 --> 00:25:01,750
+في عندي هنا N هذه N لما يكون ال summation بده من
+
+262
+00:25:01,750 --> 00:25:05,430
+Zero لغاية N طب لما يكون من Zero بده لعندي N نقص
+
+263
+00:25:05,430 --> 00:25:09,370
+اتنين فبدي اشيل ال N و احط بدلها N نقص اتنين ماشي
+
+264
+00:25:09,370 --> 00:25:14,510
+فال summation تبع هذه بساوي هبدي احط هنا N نقص
+
+265
+00:25:14,510 --> 00:25:19,340
+اتنينبدال ال N هذه وبعدين جوا هنا بدال ال N اللي
+
+266
+00:25:19,340 --> 00:25:25,800
+جوا بتحط N نقص اتنين وبعدين ال واحد الكل على اتنين
+
+267
+00:25:25,800 --> 00:25:33,280
+لان هذه N نقص اتنين N نقص اتنين وزاد واحد N نقص
+
+268
+00:25:33,280 --> 00:25:44,360
+اتنين وزاد واحد N نقص واحد صح؟ الكل
+
+269
+00:25:44,360 --> 00:25:49,830
+هذا على ايش؟ على اتنينالحين هذا الان اللي هو هذا
+
+270
+00:25:49,830 --> 00:25:59,810
+عبارة عن ايش مجموعة summation هذه مظبوط هيك اللي
+
+271
+00:25:59,810 --> 00:26:11,510
+قبل هذا بدي اعمل نفس القلي انه عندي انا هنا عندي
+
+272
+00:26:11,510 --> 00:26:12,530
+n ناقص واحد
+
+273
+00:26:16,810 --> 00:26:28,230
+بتمشي من I equals 0 ل N نقص 2 ايش
+
+274
+00:26:28,230 --> 00:26:34,850
+اعوض؟ بحط N نقص 2 محل ال
+
+275
+00:26:34,850 --> 00:26:39,170
+N صح؟ خلصنا من هذا الشق اتفاجن عليه
+
+276
+00:27:20,300 --> 00:27:27,800
+لأ مش محتاج أقولك ليش هذه N نقص واحد تتكرر
+
+277
+00:27:27,800 --> 00:27:37,360
+عدد قداش من المرات أو تتنجمع عدد قداش من المرات من
+
+278
+00:27:37,360 --> 00:27:41,600
+I بساوة Zero إلى N نقص اتنين هذه المسافة قداش
+
+279
+00:27:41,600 --> 00:27:45,760
+طولها من
+
+280
+00:27:45,760 --> 00:27:48,720
+I بساوة Zero إلى N نقص اتنين
+
+281
+00:27:53,210 --> 00:27:57,290
+عداد بيلف من عند ال zero ل N نقص اتنين مش هيمشي N
+
+282
+00:27:57,290 --> 00:28:01,010
+نقص واحد من المرات لإن هو بدأ من ال zero العد بدأ
+
+283
+00:28:01,010 --> 00:28:06,710
+من الصفر لو إن العد بدأ من ال واحد كما نقول هيمشي
+
+284
+00:28:06,710 --> 00:28:09,990
+N نقص اتنين من المرات لكن لإن هو بدأ من ال zero
+
+285
+00:28:09,990 --> 00:28:17,960
+فهو هيمشي N نقص واحد من المراتالجهاد تتكرر N ناقص
+
+286
+00:28:17,960 --> 00:28:21,860
+واحد من المرات هي نفسها N ناقص واحد بدي أضربها
+
+287
+00:28:21,860 --> 00:28:30,300
+أصبح في إيش في N ناقص واحد مظبوط هيك جهاد
+
+288
+00:28:30,300 --> 00:28:35,240
+الصميشي مستوي على طول N ناقص واحد من المرات مضروبة
+
+289
+00:28:35,240 --> 00:28:35,660
+فيها
+
+290
+00:28:43,090 --> 00:28:53,970
+Okay فأصبحت capital C of N بتساوي
+
+291
+00:28:53,970 --> 00:28:59,210
+هذا الكلام هذا ناقص هذا لأن هذا حل ليه بيطلع معاكي
+
+292
+00:28:59,210 --> 00:29:02,330
+okay
+
+293
+00:29:02,330 --> 00:29:06,990
+هى N بدي
+
+294
+00:29:06,990 --> 00:29:13,880
+أخد ال N ناقص واحد عامل مشتركماذا يظهر معانا الـ-1
+
+295
+00:29:13,880 --> 00:29:22,080
+برا و ليش جوا الـ-1 التانية ناقص طبعا استني شوية
+
+296
+00:29:22,080 --> 00:29:26,880
+هذا ال term مقسم على اتنين لازم اضرب هذا في اتنين
+
+297
+00:29:26,880 --> 00:29:34,020
+خليني اعملها من جديد اتنين الـ-1 الـ-1 ناقص
+
+298
+00:29:43,250 --> 00:29:50,630
+نقص ايش N نقص اتنين في N نقص واحد على اتنين okay
+
+299
+00:29:50,630 --> 00:29:59,410
+ايش القسم المشترك الان اللي
+
+300
+00:29:59,410 --> 00:30:03,910
+هو خلاص
+
+301
+00:30:03,910 --> 00:30:07,410
+خليه هاد هيك على اتنين صح
+
+302
+00:30:08,610 --> 00:30:13,790
+ناخد قسم مشترك اللي هو إيش N نقص واحد برا إيش
+
+303
+00:30:13,790 --> 00:30:21,870
+بيضال جوا اتنين N نقص واحد نقص ال N نقص اتنين صح
+
+304
+00:30:21,870 --> 00:30:37,570
+كل واحد اتنين صح لأن هذه اتنين N نقص اتنين نقص
+
+305
+00:30:37,570 --> 00:30:46,230
+Nزائد اتنين مظبوط ناقص في ناقص زائد اتنين كله هدى
+
+306
+00:30:46,230 --> 00:30:52,350
+على اتنين اتنين in شيلنا منهم in وده in واحدة ناقص
+
+307
+00:30:52,350 --> 00:30:57,390
+اتنين شيلنا منها اتنين وده بتروح يبجى in ناقص واحد
+
+308
+00:30:57,390 --> 00:31:09,980
+ضرب in بس نعم على اتنين okay اللى هى هادىاللي هي
+
+309
+00:31:09,980 --> 00:31:25,120
+طبعاً اللي هو يساوي N تربيع نقص N على 2 N تربيع No
+
+310
+00:31:25,120 --> 00:31:27,400
+big O of N square كويس
+
+311
+00:31:41,120 --> 00:31:46,240
+الان ليش big O of N² مش big O of N هذا الكلام اللي
+
+312
+00:31:46,240 --> 00:31:48,220
+هو ال section اتنين اتنين اللي احنا فيه اللي اتناه
+
+313
+00:31:48,220 --> 00:31:52,280
+بدنا نرجعله الحين نرجعله الحين اينا خلاص بعد ما
+
+314
+00:31:52,280 --> 00:31:57,360
+نرجعله بنكمل على اتنين اربعة اتنين اربعة examples
+
+315
+00:31:57,360 --> 00:32:00,580
+زي اللي شوفنا اتوا ولكن ايش لل recursive ال
+
+316
+00:32:00,580 --> 00:32:06,180
+recursive له معامل اسلوب اخر في تحليل الزمن عشان
+
+317
+00:32:06,180 --> 00:32:10,480
+هيك مفصلين ادولة الان اتنين تلاتة non recursive
+
+318
+00:32:11,170 --> 00:32:15,030
+Okay في ال recursion في عندي أنا ال recurrence
+
+319
+00:32:15,030 --> 00:32:20,670
+relation اللي هي على أساسها بيعتمد زمن ال
+
+320
+00:32:20,670 --> 00:32:24,310
+performance نرجع الآن للموضوع اللي احنا أصلا
+
+321
+00:32:24,310 --> 00:32:30,130
+عارفينه من غيرها اللي أصلا بس عشان نرجع
+
+322
+00:32:30,130 --> 00:32:34,290
+هذا .. هذا يا بناتي الآنالكلام اللى حكيناه حتى
+
+323
+00:32:34,290 --> 00:32:38,490
+الآن فى حد عنده سؤال فى عشان هو اصلا الامر الامر
+
+324
+00:32:38,490 --> 00:32:42,750
+بنبنى شىء على شىء اذا انت مافهمتيش ال algorithm مش
+
+325
+00:32:42,750 --> 00:32:47,050
+هتعرفى اتحددي وين ال basic operation و اكم عدد مرة
+
+326
+00:32:47,050 --> 00:32:52,590
+و او و وين التكرار بيحصل عرفتى بعدها كان بيصيري
+
+327
+00:32:52,590 --> 00:32:56,490
+تحسبى الزمن ماعرفتيش تحسب الزمن مش هيطلع معاكى ال
+
+328
+00:32:56,490 --> 00:33:00,760
+formulaمظبوطة اللي اتصن فيها علينا big O في او في
+
+329
+00:33:00,760 --> 00:33:07,880
+ايش فلازم كله يبقى .. كله هيبقى مركب على اللغة طيب
+
+330
+00:33:07,880 --> 00:33:15,540
+نرجع الآن على ال
+
+331
+00:33:15,540 --> 00:33:20,760
+big O notation اللي
+
+332
+00:33:20,760 --> 00:33:24,620
+هو section 2.2 okay ال ..
+
+333
+00:33:46,000 --> 00:33:50,880
+الـ Formal Definitions لـ Theta و Little O و
+
+334
+00:33:50,880 --> 00:33:55,700
+Little Omega Little O في Big O في Little O مار
+
+335
+00:33:55,700 --> 00:34:00,800
+عليكوا ال Little O لأ ماشي اللي فاهم ال Big O تحصل
+
+336
+00:34:00,800 --> 00:34:05,680
+حاصل ال Big O و ال Big Omega بعد هيك اللي هو ال
+
+337
+00:34:05,680 --> 00:34:09,540
+manipulating expressions و ال typical growth rate
+
+338
+00:34:09,540 --> 00:34:13,340
+اللي احنا عارفينها يعني كلها بالاساس احنا لما بقول
+
+339
+00:34:13,340 --> 00:34:18,920
+Little Oنقصد فيها مجموعة الـ functions بيبقى في
+
+340
+00:34:18,920 --> 00:34:25,740
+عندي function أنا g g of n ال function بتعتمد على
+
+341
+00:34:25,740 --> 00:34:34,040
+متغير n متغير واحد وشكلها ربما يكون اشي زي هيك فال
+
+342
+00:34:34,040 --> 00:34:39,280
+little o of n هو مجموعة مجموعة الاش ال functions
+
+343
+00:34:39,280 --> 00:34:46,520
+اللي grow slower اللي بتنمو أبطأ من النموماشي هذه
+
+344
+00:34:46,520 --> 00:34:51,180
+لها نمو جاعدة بالزيد مع زيادة n بالزيد ال value
+
+345
+00:34:51,180 --> 00:35:00,620
+تبعها فأي function بتزيد بأقل slower معدل أقل عشان
+
+346
+00:35:00,620 --> 00:35:03,880
+الزيد معدل أقل لازم ال value تبع هذه ال function
+
+347
+00:35:03,880 --> 00:35:09,800
+اللي أقل مايصلش ال value تبع g صح إذا هذه g و في
+
+348
+00:35:09,800 --> 00:35:15,980
+عندي function تاني f برضه of nماتبقى أقول إن هادي
+
+349
+00:35:15,980 --> 00:35:22,620
+تنمو أقل مش بس لأنه قيمتها أقل في موضوع معين بس
+
+350
+00:35:22,620 --> 00:35:28,460
+لأنه دايما دايما قيمها أقل يعني هادي عاملة upper
+
+351
+00:35:28,460 --> 00:35:36,860
+bound يعني bound دي كلها مابتصلوش مابتصلوش فطبعا
+
+352
+00:35:36,860 --> 00:35:40,120
+هذا الكلام مش function واحدة فيه ربما مئات ال
+
+353
+00:35:40,120 --> 00:35:45,140
+functionsلما انا احكي عن g عن function معين g of n
+
+354
+00:35:45,140 --> 00:35:50,120
+في كتير functions ينطبق عليها هذا الشرط انه معدل
+
+355
+00:35:50,120 --> 00:35:53,720
+انه متباحة اقل من g of n عشان هيك احنا بنقول the
+
+356
+00:35:53,720 --> 00:36:00,260
+set of مجموعة ال .. فهذا هذا هيك big little o هو
+
+357
+00:36:00,260 --> 00:36:08,340
+مجموعة ال functions فلما بقول انا f of n is little
+
+358
+00:36:08,340 --> 00:36:16,930
+oكأني بقول is a member of little O ولا لأ رياضيا
+
+359
+00:36:16,930 --> 00:36:22,690
+يعني كلمة ان ال function الفلانية is in او is على
+
+360
+00:36:22,690 --> 00:36:26,010
+طول little O او big O طبعا لما اقول هذه ال
+
+361
+00:36:26,010 --> 00:36:28,970
+function is big O او little O of some other
+
+362
+00:36:28,970 --> 00:36:33,730
+function كأني بقول هي واحدة من ال functions is a
+
+363
+00:36:33,730 --> 00:36:40,730
+member of the set of functions اللي تحتG of N صح؟
+
+364
+00:36:40,730 --> 00:36:47,550
+نفس الشيء لـ Omega بس عد العكس أنه الـ set of
+
+365
+00:36:47,550 --> 00:36:52,250
+functions that F of N that grow faster than يعني
+
+366
+00:36:52,250 --> 00:36:57,650
+بتخيلهم فوق الـ G of N كلهم قيمهم ومعدلات التسارع
+
+367
+00:36:57,650 --> 00:37:05,890
+تبعتهم أعلى من معدل التسارع تبع هذا الـ G الـ
+
+368
+00:37:05,890 --> 00:37:10,310
+Thetaهي الـ function طبعا الـ theta مافيش فيها
+
+369
+00:37:10,310 --> 00:37:14,130
+small و little و big هي أصلا لأن مفهوم الـ theta
+
+370
+00:37:14,130 --> 00:37:17,210
+اللي هو ال set of functions that grow at the same
+
+371
+00:37:17,210 --> 00:37:21,970
+rate at the same rate يعني بنفس المعدل هذه بتتصارع
+
+372
+00:37:21,970 --> 00:37:25,730
+بمعدل .. كل اللي بتتصارع بنفس المعدل بيقول عنهم
+
+373
+00:37:25,730 --> 00:37:33,590
+ايش theta of G of N متى بتكون ال .. ال function
+
+374
+00:37:33,590 --> 00:37:38,620
+بتتعاد .. بتت .. بتتصارع بنفس المعدللما مش بضرورة
+
+375
+00:37:38,620 --> 00:37:43,180
+تكون مطابقة لها هذه هيك وهذه تكون .. يعني يكون ال
+
+376
+00:37:43,180 --> 00:37:46,740
+.. يكون الفرق ما بين هذه ثابت ما بين ال two
+
+377
+00:37:46,740 --> 00:37:54,860
+functions ثابت لأ بس يكون فيه زيادة اما تكون تحتها
+
+378
+00:37:54,860 --> 00:37:57,400
+و ممكن تكون بقى فوقها صح ولا لا؟ يعني ممكن ال ..
+
+379
+00:37:57,400 --> 00:38:04,280
+ال .. ال big theta ممكن ال theta تبقى فوق ال
+
+380
+00:38:04,280 --> 00:38:11,820
+function F هي ال G و Fممكن تبقى فوق وممكن تبقى تحت
+
+381
+00:38:11,820 --> 00:38:15,000
+تحت
+
+382
+00:38:15,000 --> 00:38:20,540
+الـG ماشي مش مهم إن هي أقل و الأكتر المهم معدل
+
+383
+00:38:20,540 --> 00:38:28,540
+التسارع مطابق لمعدل التسارع أو النمو تبع الـG ايش
+
+384
+00:38:28,540 --> 00:38:34,310
+طيب ال big O و ال big Omegaال Big O وال Big Omega
+
+385
+00:38:34,310 --> 00:38:37,750
+مش اكتر من انه احنا خليني اشوف ال definition وانحط
+
+386
+00:38:37,750 --> 00:38:47,070
+هو هنا
+
+387
+00:38:47,070 --> 00:38:51,310
+هذا الرمز هذا المفروض union هنا هذا الرمز مش طالع
+
+388
+00:38:51,310 --> 00:38:57,590
+صح في ال .. هذا Uوهذا أيضا U ايش يعني U؟ مش هدولة
+
+389
+00:38:57,590 --> 00:39:01,170
+.. مش هدولة مجموعات هذه ال .. ال .. ال .. ال big
+
+390
+00:39:01,170 --> 00:39:03,990
+omega ال .. ال little omega هد مجموعة و هد مجموعة
+
+391
+00:39:03,990 --> 00:39:09,110
+فكافة ال .. ال functions هنا في ال big O .. في ال
+
+392
+00:39:09,110 --> 00:39:13,270
+big O كافة ال functions اللتي أقل نموها أقل أو
+
+393
+00:39:13,270 --> 00:39:17,830
+يساوي بس هي كل الاختلاف انه جبنا ال functions اللي
+
+394
+00:39:17,830 --> 00:39:23,170
+نموها يعني .. يعني اصلا شمالنا ال thetaمجموعة الـ
+
+395
+00:39:23,170 --> 00:39:26,110
+theta تبعهم GN GN ايش من مجموعة الـ theta اللي
+
+396
+00:39:26,110 --> 00:39:32,970
+نموهم يطابق او يشبه نمو G هدول الناس و هدول الناس
+
+397
+00:39:32,970 --> 00:39:39,110
+اللي نموهم اقل هدول نسميناهم big Oفأي function
+
+398
+00:39:39,110 --> 00:39:45,870
+النمو تبحة أقل من G أو يساوي فبنعتبرها big O of G
+
+399
+00:39:45,870 --> 00:39:52,810
+من مجموعة الـ Big O ومثل ذلك الـ Big Omega أى
+
+400
+00:39:52,810 --> 00:39:59,810
+function نمو تبحة Theta of G أو أكتر أسرع بعنوان
+
+401
+00:39:59,810 --> 00:40:04,750
+مؤسسة تعتبر Big OmegaOkay عيد كل الجضية فاحنا الآن
+
+402
+00:40:04,750 --> 00:40:07,950
+هذا الكلام بيترتب عليه بعد هيك انه لما انا كنت في
+
+403
+00:40:07,950 --> 00:40:14,310
+عندي ال T of N هذه function ايش اخر مثال كان اللي
+
+404
+00:40:14,310 --> 00:40:20,550
+حسبنا تبع ال ..
+
+405
+00:40:20,550 --> 00:40:27,910
+اخر مثال اتوي لما كنا حسبنا .. ايه ال sorting ال
+
+406
+00:40:27,910 --> 00:40:34,490
+selection sorting كان ليش كان ال Tن تربيع ن تربيع
+
+407
+00:40:34,490 --> 00:40:39,450
+ماشي بس جداش كان الهدى كان بقى ال classification
+
+408
+00:40:39,450 --> 00:40:47,050
+تبعها ن تربيع بس جداش كان ال value كله نعم ن تربيع
+
+409
+00:40:47,050 --> 00:40:54,230
+زائد N على اتنين الانهاد هي ال F ماشي بدي اقارنها
+
+410
+00:40:54,230 --> 00:41:02,290
+بال G هي عبارة عن ال N squareماشي فانا عندي ال N2
+
+411
+00:41:02,290 --> 00:41:08,050
+وعندي ال Inter P أق نص ال N2 مش هذا نص سيكة زائد
+
+412
+00:41:08,050 --> 00:41:14,510
+نص ال N ايش علاقة هذه بهذه ال G of N وهذه ال F of
+
+413
+00:41:14,510 --> 00:41:18,190
+N ايش علاقتها انها من النوع اللي أسرع ولا اللي
+
+414
+00:41:18,190 --> 00:41:23,450
+أبطأ ولا نفس السرعة في النموعشان اقرر هذا الكلام
+
+415
+00:41:23,450 --> 00:41:26,790
+بدي استخدم ال rules ال rules اللي اول rule بتقولي
+
+416
+00:41:26,790 --> 00:41:30,970
+انه اذا عندي polynomial هذا polynomial احد في كل
+
+417
+00:41:30,970 --> 00:41:35,470
+ال terms اللي ال order تبعها قليل اعمل suppression
+
+418
+00:41:35,470 --> 00:41:41,590
+لل lower خلي بس ال maximum power اللي هو هذا خلناه
+
+419
+00:41:41,590 --> 00:41:45,310
+تاني rule بتقولي شيل ال constants لأنه ال
+
+420
+00:41:45,310 --> 00:41:48,690
+constants هذه بتأثرش على ال rate بتأثر على ارتفاع
+
+421
+00:41:48,690 --> 00:41:51,780
+ال function او نزولهاإنما متأثرش هذا ال rate of
+
+422
+00:41:51,780 --> 00:41:58,040
+growth فبيظل عندي ال N² ف N² يساوي N² يبقى هي من
+
+423
+00:41:58,040 --> 00:42:04,920
+ضمن مين ال theta طيب برضه كمان هي من ضمن ال Omega
+
+424
+00:42:04,920 --> 00:42:09,440
+لأن ال Omega هي الي يساوي أو أقل فهي يساوي فهي من
+
+425
+00:42:09,440 --> 00:42:13,240
+ضمن ال Omega المحاضرة
+
+426
+00:42:13,240 --> 00:42:18,110
+اللي جاي ان شاء الله بنكمل هذا الكلاموبننتقل على
+
+427
+00:42:18,110 --> 00:42:23,850
+الـ Recursive Algorithms بنحسب الزمن تبعها
+
+428
+00:42:23,850 --> 00:42:25,610
+وبنعملها Classically
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/WesFlFDQHQg_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/WesFlFDQHQg_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..1728d0ade7f88b823c0e022026c5028919f8e139
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/WesFlFDQHQg_raw.json
@@ -0,0 +1 @@
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"probability": 0.9676106770833334}, {"start": 869.36, "end": 869.72, "word": " اتنين", "probability": 0.974853515625}, {"start": 869.72, "end": 870.08, "word": " هو", "probability": 0.92626953125}, {"start": 870.08, "end": 870.56, "word": " تاني", "probability": 0.9462890625}, {"start": 870.56, "end": 870.92, "word": " اصغر", "probability": 0.933349609375}, {"start": 870.92, "end": 871.38, "word": " واحد", "probability": 0.992919921875}, {"start": 871.38, "end": 872.48, "word": " اول", "probability": 0.9091796875}, {"start": 872.48, "end": 872.76, "word": " اصغر", "probability": 0.979736328125}, {"start": 872.76, "end": 873.0, "word": " واحد", "probability": 0.99560546875}, {"start": 873.0, "end": 873.34, "word": " تاني", "probability": 0.84326171875}, {"start": 873.34, "end": 873.6, "word": " اصغر", "probability": 0.9886474609375}, {"start": 873.6, "end": 873.84, "word": " واحد", "probability": 0.9951171875}, {"start": 873.84, "end": 874.18, "word": " تالت", "probability": 0.9519856770833334}, {"start": 874.18, "end": 874.44, "word": " اصغر", "probability": 0.987060546875}, {"start": 874.44, "end": 874.74, "word": " واحد", "probability": 0.996826171875}, {"start": 874.74, "end": 875.24, "word": " فانا", "probability": 0.8681640625}, {"start": 875.24, "end": 875.54, "word": " بعمل", "probability": 0.982421875}, {"start": 875.54, "end": 875.92, "word": " selection", "probability": 0.841796875}, {"start": 875.92, "end": 876.18, "word": " هنا", "probability": 0.90673828125}, {"start": 876.18, "end": 876.42, "word": " عشان", "probability": 0.9573567708333334}, {"start": 876.42, "end": 877.02, "word": " اجيب", "probability": 0.9312744140625}], "temperature": 1.0}, {"id": 32, "seek": 89835, "start": 877.43, "end": 898.35, "text": "و احطه في المكان الصحيح لازم افر ال list هذا كله او الباقي هذا كله عشان اختار ال minimum عشان احطه يبقى شبيه بالمثال تبع ال uniqueness", "tokens": [2407, 1975, 5016, 9566, 3224, 8978, 9673, 41361, 31767, 5016, 1829, 5016, 5296, 31377, 2304, 1975, 5172, 2288, 2423, 1329, 23758, 28242, 3224, 1975, 2407, 29739, 995, 38436, 23758, 28242, 3224, 6225, 8592, 7649, 1975, 46456, 9640, 2423, 7285, 6225, 8592, 7649, 1975, 5016, 9566, 3224, 7251, 3555, 4587, 7578, 13412, 21292, 3224, 20666, 2304, 12984, 6027, 6055, 3555, 3615, 2423, 48294], "avg_logprob": -0.19370039540623862, "compression_ratio": 1.5454545454545454, "no_speech_prob": 0.0, "words": [{"start": 877.43, "end": 877.63, "word": "و", "probability": 0.93115234375}, {"start": 877.63, "end": 877.97, "word": " احطه", "probability": 0.650604248046875}, {"start": 877.97, "end": 878.11, "word": " في", "probability": 0.91455078125}, {"start": 878.11, "end": 878.43, "word": " المكان", "probability": 0.9716796875}, {"start": 878.43, "end": 878.91, "word": " الصحيح", "probability": 0.98486328125}, {"start": 878.91, "end": 880.99, "word": " لازم", "probability": 0.6787109375}, {"start": 880.99, "end": 881.31, "word": " افر", "probability": 0.8245442708333334}, {"start": 881.31, "end": 881.49, "word": " ال", "probability": 0.482666015625}, {"start": 881.49, "end": 881.73, "word": " list", "probability": 0.78955078125}, {"start": 881.73, "end": 881.91, "word": " هذا", "probability": 0.1531982421875}, {"start": 881.91, "end": 882.47, "word": " كله", "probability": 0.93212890625}, {"start": 882.47, "end": 882.79, "word": " او", "probability": 0.862060546875}, {"start": 882.79, "end": 883.19, "word": " الباقي", "probability": 0.9427083333333334}, {"start": 883.19, "end": 883.39, "word": " هذا", "probability": 0.830078125}, {"start": 883.39, "end": 883.71, "word": " كله", "probability": 0.987548828125}, {"start": 883.71, "end": 883.97, "word": " عشان", "probability": 0.9296875}, {"start": 883.97, "end": 884.41, "word": " اختار", "probability": 0.94677734375}, {"start": 884.41, "end": 884.61, "word": " ال", "probability": 0.91259765625}, {"start": 884.61, "end": 885.07, "word": " minimum", "probability": 0.98193359375}, {"start": 885.07, "end": 885.61, "word": " عشان", "probability": 0.96875}, {"start": 885.61, "end": 886.65, "word": " احطه", "probability": 0.9508056640625}, {"start": 886.65, "end": 889.67, "word": " يبقى", "probability": 0.9061279296875}, {"start": 889.67, "end": 890.23, "word": " شبيه", "probability": 0.8811848958333334}, {"start": 890.23, "end": 894.97, "word": " بالمثال", "probability": 0.867431640625}, {"start": 894.97, "end": 896.29, "word": " تبع", "probability": 0.8209635416666666}, {"start": 896.29, "end": 897.97, "word": " ال", "probability": 0.96630859375}, {"start": 897.97, "end": 898.35, "word": " uniqueness", "probability": 0.7958984375}], "temperature": 1.0}, {"id": 33, "seek": 92478, "start": 901.82, "end": 924.78, "text": "تذكروا المثال هذا لما كنا بنقول أنا الهدف ان اشوف ال list كلها distinct ولا لأ فعشان افحص انها distinct ولا لأ باجف على الانصر و بقارن كل اللي بعده و اشوف في واحد تاني يطابقه مش ببحث عن ال minimum بشوف اذا في واحد يطابقه الاختلاف انه انا هنا في worst case و best case", "tokens": [2655, 8848, 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"word": " بقارن", "probability": 0.9791259765625}, {"start": 912.26, "end": 912.5, "word": " كل", "probability": 0.55908203125}, {"start": 912.5, "end": 912.68, "word": " اللي", "probability": 0.975341796875}, {"start": 912.68, "end": 913.04, "word": " بعده", "probability": 0.863037109375}, {"start": 913.04, "end": 913.12, "word": " و", "probability": 0.90771484375}, {"start": 913.12, "end": 913.28, "word": " اشوف", "probability": 0.817626953125}, {"start": 913.28, "end": 913.44, "word": " في", "probability": 0.6904296875}, {"start": 913.44, "end": 913.78, "word": " واحد", "probability": 0.952880859375}, {"start": 913.78, "end": 914.08, "word": " تاني", "probability": 0.98291015625}, {"start": 914.08, "end": 914.68, "word": " يطابقه", "probability": 0.98701171875}, {"start": 914.68, "end": 914.86, "word": " مش", "probability": 0.77294921875}, {"start": 914.86, "end": 915.22, "word": " ببحث", "probability": 0.8907877604166666}, {"start": 915.22, "end": 915.4, "word": " عن", "probability": 0.197021484375}, {"start": 915.4, "end": 915.82, "word": " ال", "probability": 0.83935546875}, {"start": 915.82, "end": 916.08, "word": " minimum", "probability": 0.58056640625}, {"start": 916.08, "end": 916.82, "word": " بشوف", "probability": 0.853515625}, {"start": 916.82, "end": 916.92, "word": " اذا", "probability": 0.78271484375}, {"start": 916.92, "end": 917.06, "word": " في", "probability": 0.92333984375}, {"start": 917.06, "end": 917.26, "word": " واحد", "probability": 0.9921875}, {"start": 917.26, "end": 918.52, "word": " يطابقه", "probability": 0.96103515625}, {"start": 918.52, "end": 920.66, "word": " الاختلاف", "probability": 0.93857421875}, {"start": 920.66, "end": 921.44, "word": " انه", "probability": 0.66259765625}, {"start": 921.44, "end": 922.2, "word": " انا", "probability": 0.861328125}, {"start": 922.2, "end": 923.08, "word": " هنا", "probability": 0.9873046875}, {"start": 923.08, "end": 923.46, "word": " في", "probability": 0.97509765625}, {"start": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..534073c74fd59418101789e244f9698b3d8e2e6c
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_postprocess.srt
@@ -0,0 +1,1916 @@
+1
+00:00:20,770 --> 00:00:22,890
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:22,890 --> 00:00:25,130
+المرسلين اليوم ان شاء الله يا بنات بدنا نبدأ
+
+3
+00:00:25,130 --> 00:00:28,970
+chapter جديد بيتناول نوع آخر من ال algorithmات
+
+4
+00:00:28,970 --> 00:00:32,230
+بنسميها iterative improvement algorithms يعني
+
+5
+00:00:32,230 --> 00:00:38,150
+الأسلوب تبعها أنها بتعمل تحسين تدريجي على ال
+
+6
+00:00:38,150 --> 00:00:43,170
+current solution إلى أن تصل إلى ال solution الأفضل
+
+7
+00:00:43,470 --> 00:00:46,250
+ومن هنا بنقدر نربط ال interactive improvement بال
+
+8
+00:00:46,250 --> 00:00:49,270
+optimization يعني ال solution الأفضل يعني optimum
+
+9
+00:00:49,270 --> 00:00:53,010
+فال examples اللي هنشوفها عبارة عن optimization
+
+10
+00:00:53,010 --> 00:00:57,010
+problems و ال algorithmات اللي بتتعامل معاها
+
+11
+00:00:57,010 --> 00:00:59,730
+optimization problems و ال algorithmات اللي
+
+12
+00:00:59,730 --> 00:01:03,250
+بتتعامل معاها فيها إن أول إشي هناخد تلت شباق
+
+13
+00:01:03,250 --> 00:01:06,840
+succession عشرة واحد و عشرة اتنين و عشرة تلاتةإذا
+
+14
+00:01:06,840 --> 00:01:10,620
+كف الوجد طبعا إن شاء الله أول واحدة اللي هي أول
+
+15
+00:01:10,620 --> 00:01:14,520
+section عشر أو واحد بتناول algorithm اسمها simplex
+
+16
+00:01:14,520 --> 00:01:20,060
+method ال simplex method هذه هي method لحل مسألة
+
+17
+00:01:20,060 --> 00:01:23,780
+المسألة هذه اسمها ال linear programming problem
+
+18
+00:01:23,780 --> 00:01:27,900
+okay يعني ال simplex method هي اسم ال solution أو
+
+19
+00:01:27,900 --> 00:01:31,260
+اسم ال algorithm اللي بتعالج أنهي algorithm أنهي
+
+20
+00:01:31,260 --> 00:01:34,240
+problem ال linear programming problem linear
+
+21
+00:01:34,240 --> 00:01:34,840
+programming
+
+22
+00:01:42,920 --> 00:01:49,300
+Linear Programming Problem كانت
+
+23
+00:01:49,300 --> 00:01:55,840
+وردت في Chapter 6 خلّيني أذكركم فيها، احنا
+
+24
+00:01:55,840 --> 00:02:00,300
+ماوقفناش عندها بس كانت في Chapter 6 Chapter 6 اللي
+
+25
+00:02:00,300 --> 00:02:07,720
+هو بتناول ال
+
+26
+00:02:07,720 --> 00:02:09,760
+transformations
+
+27
+00:02:11,420 --> 00:02:14,660
+أه شبكة 6 بتناول اللي هو ال transformations لإن
+
+28
+00:02:14,660 --> 00:02:18,680
+احنا بنحول ال problem أو بنحول ال data عشان نتعامل
+
+29
+00:02:18,680 --> 00:02:24,440
+معاها فكان في section .. section 6 6 انا هذه ال
+
+30
+00:02:24,440 --> 00:02:28,620
+slides فصلت لحالها يعني ال file ده بس ل section 6
+
+31
+00:02:28,620 --> 00:02:32,600
+6 بتناول problem reduction problem reduction احنا
+
+32
+00:02:32,600 --> 00:02:37,320
+وقفنا عندها وقفة سريعة ما .. ماوقفناش كتير بس
+
+33
+00:02:37,320 --> 00:02:41,320
+بتذكركن كان في ..اللي هو ال least common multiple
+
+34
+00:02:41,320 --> 00:02:47,160
+problem وكيف احنا اتعاملنا معاها او في الكتابة
+
+35
+00:02:47,160 --> 00:02:50,920
+اتعاملنا معاها لإنه هي تحويل بدل ال LCM بنحسب ال
+
+36
+00:02:50,920 --> 00:02:56,500
+GCD و بنجسم حصل ضرب ال M في ال N على ال GCD بيطلع
+
+37
+00:02:56,500 --> 00:03:00,360
+معايا ال LCM فكان عياش عبارة عن problemReduction
+
+38
+00:03:00,360 --> 00:03:03,840
+أو Problem Transformation المسألة التانية برضه
+
+39
+00:03:03,840 --> 00:03:06,280
+وجفنا عندها على السريع اللي هي Counting Paths in a
+
+40
+00:03:06,280 --> 00:03:09,520
+Graph قولنا لو أنا اندي Graph و بدي اعرف عدد
+
+41
+00:03:09,520 --> 00:03:13,260
+المسارات اللي طولها one او عدد المسارات اللي طولها
+
+42
+00:03:13,260 --> 00:03:16,740
+two two hops او two jumps او two links او العدد
+
+43
+00:03:16,740 --> 00:03:19,920
+اللي طولها تلاتة او اربعة بروح باخد ال adjacency
+
+44
+00:03:19,920 --> 00:03:27,760
+matrixو بضربها في نفس الشاشة two يعني برفعها ل
+
+45
+00:03:27,760 --> 00:03:30,980
+power two بيطلع اني عدد المسارات اللي طولها two
+
+46
+00:03:30,980 --> 00:03:36,880
+هنا من a ل a في تلت مسارات طولها two من a ل .. من
+
+47
+00:03:36,880 --> 00:03:41,840
+b ل .. من b ل c في واحد مسار ماشي فالمصفوفة هذه
+
+48
+00:03:41,840 --> 00:03:47,330
+بتعطينيعدد المسارات اللي طولها كذا طولها هو ال
+
+49
+00:03:47,330 --> 00:03:50,910
+power هنا ال adjacency matrix نفسها عدد المسارات
+
+50
+00:03:50,910 --> 00:03:55,250
+اللي طولها one اللي هي يعني link واحدة صح؟ في link
+
+51
+00:03:55,250 --> 00:04:00,600
+واحد ما بين a و bالمهم فهذا بذكركم فيه وفيه بعد هي
+
+52
+00:04:00,600 --> 00:04:03,500
+كذا برضه reduction of optimization problems
+
+53
+00:04:03,500 --> 00:04:06,040
+optimization problems لما نقول انه انا لما يكون في
+
+54
+00:04:06,040 --> 00:04:10,740
+عندى maximization problem وانا مش عارف احلها ك
+
+55
+00:04:10,740 --> 00:04:13,740
+maximization ممكن احولها ل minimization احلها ك
+
+56
+00:04:13,740 --> 00:04:18,640
+minimization احلها ك minimization واطلعها ال
+
+57
+00:04:18,640 --> 00:04:23,990
+minimum pointو بعد ذلك أقلب النتيج بيطلع عندي الحل
+
+58
+00:04:23,990 --> 00:04:26,430
+تبقى ال maximization لإنه ال maximization هو
+
+59
+00:04:26,430 --> 00:04:30,890
+reflection للمنميزيشن والعكس صحيح okay فكان هنا كل
+
+60
+00:04:30,890 --> 00:04:35,990
+ما دول أمثلة على problem transforming ال problem
+
+61
+00:04:35,990 --> 00:04:39,910
+into another problem صح؟ أخر إشي كان هنا وماوقفناش
+
+62
+00:04:39,910 --> 00:04:43,590
+عنده كان الموضوع ال linear programming ماوقفناش
+
+63
+00:04:43,590 --> 00:04:48,860
+عنده فإحنا الآن بينا نطلع عليهناخد فكرة عنه من هنا
+
+64
+00:04:48,860 --> 00:04:52,420
+من ستة وبعدين نكملها رجعتين على عشر نكمل عشان نشوف
+
+65
+00:04:52,420 --> 00:04:56,000
+ليش ال simplex method هذي تمام ال linear
+
+66
+00:04:56,000 --> 00:04:58,560
+programming هي مسألة optimization تمام
+
+67
+00:04:58,560 --> 00:05:03,700
+optimization بمعنى ان انا فيها اندي معادلة او
+
+68
+00:05:03,700 --> 00:05:10,020
+formula تتكون من عدة متغيرات وبدى احلها بمعنى ايش
+
+69
+00:05:10,020 --> 00:05:14,040
+اوجد قيم المتغيرات اللي عندها بيتحقق ا maximum
+
+70
+00:05:14,040 --> 00:05:18,580
+value او minimum valueهنحصل كلام احنا الان على ال
+
+71
+00:05:18,580 --> 00:05:21,700
+maximization يعني ال optimization اللي هنتعامل
+
+72
+00:05:21,700 --> 00:05:25,420
+معاه هو بس maximization فانا بكون في انه حاجة
+
+73
+00:05:25,420 --> 00:05:30,060
+اسمها ال objective function okay objective
+
+74
+00:05:30,060 --> 00:05:33,080
+function ال objective function ها دي يبقى في عندي
+
+75
+00:05:33,080 --> 00:05:36,880
+عدة متغيرات X1 X2
+
+76
+00:05:38,810 --> 00:05:46,490
+X3 لغاية Xn كل متغير له coefficient C1 ل X1 C2 ل
+
+77
+00:05:46,490 --> 00:05:52,010
+X2 صح المطلوب
+
+78
+00:05:52,010 --> 00:05:57,050
+هذا ال formula اللي يحاصل جمع كل المتغيرات كل
+
+79
+00:05:57,050 --> 00:06:00,710
+المتغيرات هذه اللي هي ال objective function اسمها
+
+80
+00:06:00,710 --> 00:06:04,230
+objective function
+
+81
+00:06:09,240 --> 00:06:11,840
+المطلوب هو to maximise هذا الـ function مايعني
+
+82
+00:06:11,840 --> 00:06:18,260
+maximise هذا الـ function؟ يعني أوجد قيمة X1 و X2
+
+83
+00:06:18,260 --> 00:06:21,120
+و X3 و X4 و X5 و X6 و X7 و X8 و X9 و X10 و X11 و
+
+84
+00:06:21,120 --> 00:06:25,320
+X12 و X12 و X11 و X12 و X11 و X11 و X11 و X11 و
+
+85
+00:06:25,320 --> 00:06:25,840
+X11 و X11 و X11 و X11 و X11 و X11 و X11 و X11 و
+
+86
+00:06:25,840 --> 00:06:27,720
+X11 و X11 و X11 و X11 و X11 و X11 و X11 و X11 و
+
+87
+00:06:27,720 --> 00:06:35,820
+X11 و X11 و X11 و X11 و X11
+
+88
+00:06:35,820 --> 00:06:35,900
+و X11
+
+89
+00:06:41,810 --> 00:06:49,070
+و في عندنا constraints ال
+
+90
+00:06:49,070 --> 00:06:53,110
+constraints هذه برضه عبارة عن functions تيجي بصورة
+
+91
+00:06:53,110 --> 00:06:58,890
+انه x مثلا زاد .. x .. x1 زاد x2 أقل من كده أو
+
+92
+00:06:58,890 --> 00:07:02,430
+أكبر من كده أو يساوي كده okay خلينا نطلع على
+
+93
+00:07:02,430 --> 00:07:10,060
+exampleExample هذا برضه من chapter 6 انه نفترض ان
+
+94
+00:07:10,060 --> 00:07:13,380
+معانا 100 مليون دولار 100 مليون دولار دولار
+
+95
+00:07:13,380 --> 00:07:19,880
+بنستثمرهم و معانا تلات خيارات أسهم سندات ديان
+
+96
+00:07:19,880 --> 00:07:27,960
+حكومية أو نودع في بنك و ناخد interest ماشي فالان
+
+97
+00:07:27,960 --> 00:07:32,340
+ال 100 دولار دولار بتتوزع على التلاتتلت مثالك هذه
+
+98
+00:07:32,340 --> 00:07:41,240
+بقيم مختلفة فال stocks نرمزلها ب X و ال bonds
+
+99
+00:07:41,240 --> 00:07:47,940
+نرمزلها ب Y و ال cash يعني نرمزلها ب Z
+
+100
+00:07:53,340 --> 00:07:58,980
+أنا الآن معلوم إنه طبعا X و Y و Z كله مع بعضه X
+
+101
+00:07:58,980 --> 00:08:05,500
+زائد Y زائد Z بساوي 100 مليون معلوم أيضا إنه لو
+
+102
+00:08:05,500 --> 00:08:11,600
+أنا استثمرت في الأسهم الأسهم بتحقق مربح بنسبة 10%
+
+103
+00:08:11,600 --> 00:08:15,020
+ال
+
+104
+00:08:15,020 --> 00:08:20,460
+bonds بتحقق مربح بنسبة 7% ال cash بيحقق مربح بنسبة
+
+105
+00:08:20,460 --> 00:08:25,410
+3% ال وديعة في ال bank بتاخد 3%تمام؟ يبقى أنا الآن
+
+106
+00:08:25,410 --> 00:08:32,310
+بأقدر أصيغ ال problem تبعي كالتالي إنه المربح
+
+107
+00:08:32,310 --> 00:08:37,410
+الإجمالي من ال stocks و ال bonds و ال cash مع بعض
+
+108
+00:08:37,410 --> 00:08:51,800
+هيكون 10% من X زائد 7% من Y زائد 3% من Zأنا لو
+
+109
+00:08:51,800 --> 00:08:59,760
+حطيت مبلغ كذا في ال stock هيجيني 10% منه مربح لو
+
+110
+00:08:59,760 --> 00:09:04,800
+حطيت مبلغ كذا في ال bonds هيجيني 7% فهذه ال 7% من
+
+111
+00:09:04,800 --> 00:09:10,360
+Y هي المربح اللي أخده من ال bonds 10% من X هي
+
+112
+00:09:10,360 --> 00:09:14,160
+المربح اللي أخده من ال stocks وهذه فانا بدي أعظم
+
+113
+00:09:14,160 --> 00:09:19,260
+هذا المربح بدي maximize الإجمال هذا كله maximize
+
+114
+00:09:20,300 --> 00:09:25,440
+الـ Total Profit أو الـ Total مربح اللي هحصله
+
+115
+00:09:25,440 --> 00:09:31,580
+minute منهم فهذه هي ال objective function أصبحت
+
+116
+00:09:31,580 --> 00:09:37,880
+ولا لأ؟ فبعرفيش ال constraints طبعا لازم كلها تبقى
+
+117
+00:09:37,880 --> 00:09:40,940
+موجبة ال X و ال Y و ال Z تبقى موجبة لأنه مش هحط
+
+118
+00:09:40,940 --> 00:09:46,200
+سالب مبلغ و سالب كمان ولا لأ؟هذا ما المفروض منه،
+
+119
+00:09:46,200 --> 00:09:49,680
+بس فيه أهم من ذلك و هو أنه اللي أعطاني المبلغ هذا،
+
+120
+00:09:49,680 --> 00:09:53,000
+يعني مثلا هنا بتقول أنت هذا يجيلك منح، أقول مثلا
+
+121
+00:09:53,000 --> 00:09:56,240
+جامعة عندنا و أجي واحد كريم و بده ينقذ الجامعة من
+
+122
+00:09:56,240 --> 00:09:59,320
+أزمتها فجال هاي معاكم ميت مليون و هدولة بس
+
+123
+00:09:59,320 --> 00:10:03,580
+تردوليهم معاكم لمدة عشر سنوات، تستفيدوا من مربحهم
+
+124
+00:10:03,580 --> 00:10:09,250
+و بعدين تردوليهم بعد عشر سنوات، okay؟و .. و
+
+125
+00:10:09,250 --> 00:10:12,370
+تستفيدوا من مربحهم في الخيارات التلاتة هذه بس هو
+
+126
+00:10:12,370 --> 00:10:21,130
+بيشترط أيضا كمان شروط بيقول لي انه ال .. او بلاش
+
+127
+00:10:21,130 --> 00:10:24,830
+هو اللي بيشترط الناس اللي أخدت المبلغ هذا يعني حطت
+
+128
+00:10:24,830 --> 00:10:31,050
+شروط على أساس انك محصلش في خسارة ايش جال؟ جال انه
+
+129
+00:10:31,050 --> 00:10:35,070
+.. انه
+
+130
+00:10:35,070 --> 00:10:42,120
+ال stocksto be no more than one third of the bonds
+
+131
+00:11:00,030 --> 00:11:06,230
+على الأقل الربع 25% من إجمالي ال stocks و ال bonds
+
+132
+00:11:06,230 --> 00:11:10,530
+المبلغ اللي بده ينحط في ال stocks و ال bonds ربع
+
+133
+00:11:10,530 --> 00:11:16,130
+هذا ال total ينحط في ال cash
+
+134
+00:11:16,130 --> 00:11:25,170
+ال cash اللي هو زد زد على الأقل الربع يعني زد تبقى
+
+135
+00:11:25,170 --> 00:11:34,340
+أكبر منها وتساوي الربع 25% يعنيمين؟ الـ X والـ Z
+
+136
+00:11:34,340 --> 00:11:41,500
+والـ Y مجتمعين، تمام؟ هذا
+
+137
+00:11:41,500 --> 00:11:44,200
+الـ objective function و هذا الـ constraints، فيه
+
+138
+00:11:44,200 --> 00:11:47,980
+غير مفشي خلاص،
+
+139
+00:11:47,980 --> 00:11:51,980
+okay؟ تمام؟ okay
+
+140
+00:11:55,260 --> 00:11:59,040
+فهذا مثال على Linear Programming Problem هي عبارة
+
+141
+00:11:59,040 --> 00:12:04,040
+عن مسألة Investment وما إلى ذلك واستثمار بس صيغت
+
+142
+00:12:04,040 --> 00:12:08,400
+على شكل EI ان في عندي objective function ومجموعة
+
+143
+00:12:08,400 --> 00:12:12,480
+من ال constraints بدي أحقق maximum value لل
+
+144
+00:12:12,480 --> 00:12:17,420
+objective function في ظل ال constraints لو ال
+
+145
+00:12:17,420 --> 00:12:20,220
+constraints هذه مش موجودة أنا ممكن أجي أطلع و أقول
+
+146
+00:12:20,220 --> 00:12:24,790
+طب أحط كل المبلغ في ال EIفي الـ X و احصل على 10%
+
+147
+00:12:24,790 --> 00:12:29,790
+الـ 100 مليون و احصل على 10 مليون أي اشي تاني
+
+148
+00:12:29,790 --> 00:12:32,550
+هيعطينا أجال يعني لو حاطيت فيها دلوقتي .. لو حاطيت
+
+149
+00:12:32,550 --> 00:12:35,570
+.. لو حاطيت فيها دول التانية المجتمعين هحصل على
+
+150
+00:12:35,570 --> 00:12:39,830
+اللي بحصله من هنا فممكن احطه على كله على هنا بس
+
+151
+00:12:39,830 --> 00:12:43,790
+انا لأ بقدرش احطها لأن فيها قيود قيود اللي بيقولي
+
+152
+00:12:43,790 --> 00:12:48,010
+لازم ال X لازم ال Z يبقى اكبر من ربع ال X و ال Y
+
+153
+00:12:48,010 --> 00:12:52,220
+فانا بقدرش احط صفر في ال Zواضح؟ يكون الـ sense
+
+154
+00:12:52,220 --> 00:12:56,580
+بتحكم في مثال آخر، مثال آخر، بداش تطلع عليه،
+
+155
+00:12:56,580 --> 00:12:59,760
+المثال الآخر هو إنه الـ Knapsack Problem إذا
+
+156
+00:12:59,760 --> 00:13:03,500
+بتذكروا الـ Knapsack Problem ممكن تصاغ بالصيغة هذه
+
+157
+00:13:03,500 --> 00:13:05,160
+إنه objective function شو هي ال objective
+
+158
+00:13:05,160 --> 00:13:09,280
+function؟ إن ال total، القيمة، ال value الإجمالي
+
+159
+00:13:09,280 --> 00:13:13,920
+لكل ال items يبقى maximumو ايش ال constraints ان
+
+160
+00:13:13,920 --> 00:13:22,120
+ال total وزن مايزيدش عن طاقة قصوة للحقيبة فانت
+
+161
+00:13:22,120 --> 00:13:25,320
+ممكن تصيغي نفسك problem على شكل linear programming
+
+162
+00:13:25,320 --> 00:13:30,460
+problem واضح؟ و تحليها بطريقة ال simplex method بس
+
+163
+00:13:30,460 --> 00:13:35,740
+المهم انه احنا هنا هدفناإنه نفهم صياغة المسائل
+
+164
+00:13:35,740 --> 00:13:40,060
+اللي يتصلح لإننا نحلها ك linear programming واضح؟
+
+165
+00:13:40,060 --> 00:13:44,360
+فهي هنا .. هي هنا معطيكي خلاصة ال .. ال .. ال
+
+166
+00:13:44,360 --> 00:13:49,200
+example هذا we want to maximize هذا الكلام في ظل
+
+167
+00:13:49,200 --> 00:13:53,400
+هذا الكلام في ظل أنه طبعا هذا .. هذا بتيجي
+
+168
+00:13:53,400 --> 00:13:57,030
+constraintإن المجموعة إجمالي كلها مايزيدش عن 100
+
+169
+00:13:57,030 --> 00:14:01,030
+يعني ماعناش غير ال 100 مليون و ال X تلت ال Y و ال
+
+170
+00:14:01,030 --> 00:14:04,290
+Z ربع ال X زائد ال Y و هدولة انهم يبقوا كلهم
+
+171
+00:14:04,290 --> 00:14:08,770
+موجبين هذا X و ال Y و ال Z أكبر من أو تساوي Zero
+
+172
+00:14:08,770 --> 00:14:11,490
+يعني كلهم موجبين واضح؟ okay خلاص الآن احنا بدنا
+
+173
+00:14:11,490 --> 00:14:16,880
+ننتقل على مثلا وضحت الصورة بدنا ننتقل على إيش؟ال
+
+174
+00:14:16,880 --> 00:14:20,340
+.. ال .. ال example في chapter عشرة .. عشرة واحد
+
+175
+00:14:20,340 --> 00:14:23,820
+اللي هو ال simplex method برضه كمان في عندي انا
+
+176
+00:14:23,820 --> 00:14:28,260
+تكرار لل .. للكلام هذا اللي هو ايش يعني صيغة ال ..
+
+177
+00:14:28,260 --> 00:14:31,420
+ال problem اني بجوا في عنديObjective Function
+
+178
+00:14:31,420 --> 00:14:35,560
+ومجموعة من الـ Constraints الصيغة هي دي ان انا في
+
+179
+00:14:35,560 --> 00:14:39,020
+عندي هنا بي اي هد ال بي اللي هي ال right hand side
+
+180
+00:14:39,020 --> 00:14:42,680
+تبع ال constraint ففي عندي بي اي يعني في
+
+181
+00:14:42,680 --> 00:14:46,040
+constraint اي، constraint اي اتنين، اتلاتة، اه
+
+182
+00:14:46,040 --> 00:14:51,640
+لعند M فعندي M number of constraints okay M number
+
+183
+00:14:51,640 --> 00:14:55,480
+of constraints او constraint functions يعني صح؟
+
+184
+00:14:56,360 --> 00:15:02,160
+وعندي n number of what variables صح okay هنا كان
+
+185
+00:15:02,160 --> 00:15:08,160
+ال n تسوى تلاتة و M اذا بتذكروا تلاتة ايضا كانت
+
+186
+00:15:08,160 --> 00:15:15,380
+المجموع يسوى مية انه ال X تسوى تلت ال Y او اقل و
+
+187
+00:15:15,380 --> 00:15:20,860
+التالت اللي هو انه ربع ال X زي Y صح كان M تسوى
+
+188
+00:15:20,860 --> 00:15:22,640
+تلاتة هدولة
+
+189
+00:15:24,790 --> 00:15:29,050
+بنعتبرهم consensus مسلمة لأنه لازم ال linear
+
+190
+00:15:29,050 --> 00:15:32,870
+programming يشطرط ان كل المتغيرات تبقى non
+
+191
+00:15:32,870 --> 00:15:35,410
+-negative ليش اقول موجة بل اقول non-negative يعني
+
+192
+00:15:35,410 --> 00:15:40,570
+zero او اكتر فهذا مسلم وهذا مش داخل في العدد M
+
+193
+00:15:40,570 --> 00:15:43,250
+هدولة مش داخلين ال consensus مش داخلين في العدد M
+
+194
+00:15:43,970 --> 00:15:50,070
+طبعا هذه مثالة مثال أبسط من المثال الأولاني ال
+
+195
+00:15:50,070 --> 00:15:54,170
+objective function تبتة x زائد خمسة y و بدي
+
+196
+00:15:54,170 --> 00:16:00,190
+maximize هذا ال function في ظل الشروط هذه ان x
+
+197
+00:16:00,190 --> 00:16:03,810
+زائد y أقل من أو تساوي أربعة مجموحهم يعني الاتنين
+
+198
+00:16:03,810 --> 00:16:07,890
+x أقل من أو تساوي أربعة x زائد تلت أضعف ال y يكون
+
+199
+00:16:07,890 --> 00:16:12,870
+أقل من أو تساوي ستةالان في هنا إشكالية صغيرة
+
+200
+00:16:12,870 --> 00:16:16,190
+الإشكالية الصغيرة هي انه عشان اطبق ال simplex
+
+201
+00:16:16,190 --> 00:16:20,750
+method يجب انه هدول يبقوا مش inequalities يبقوا
+
+202
+00:16:20,750 --> 00:16:27,550
+equalities يعني هذه و هذه و هذه تبقى يساوي و هذا
+
+203
+00:16:27,550 --> 00:16:33,490
+بسيطة القضية بسيطة انا ممكن احول x زائد y اقل من 4
+
+204
+00:16:33,490 --> 00:16:37,810
+احولها ل equality كيف باستحدث variable
+
+205
+00:16:40,470 --> 00:16:49,110
+Temporary باجي بقول X زائد Y زائد U يساوي 4 والـ U
+
+206
+00:16:49,110 --> 00:16:53,390
+هذا برضه كمان موجب يعني non negative اتحالت على
+
+207
+00:16:53,390 --> 00:16:56,250
+القضية هذه كيف انه الان الـ U هذا بما انه non
+
+208
+00:16:56,250 --> 00:17:00,570
+negative يعني ال value تبعه هيتروح من 0 إلى جد ما
+
+209
+00:17:00,570 --> 00:17:06,340
+بده يطلع يطلعأنا عندي هنا الـ equality بتحكم أن
+
+210
+00:17:06,340 --> 00:17:09,620
+هذا الطرف لازم يساوي أربعة هذا الطرف كله لازم
+
+211
+00:17:09,620 --> 00:17:13,220
+يساوي أربعة طيب اليوم لما تبقى ال zero و بتكبر هذا
+
+212
+00:17:13,220 --> 00:17:20,560
+لازم يصغر علشان تبقى ال total أربعة حكمت هذا أنه
+
+213
+00:17:20,560 --> 00:17:25,640
+بما أنه لازم يصغر حكمت أنه لازم يكون على الدوام
+
+214
+00:17:25,640 --> 00:17:30,340
+أقل من أربعة وهذا هو المطلوب في النهاية أنه ال
+
+215
+00:17:30,340 --> 00:17:35,990
+total هذاالـ total يكون أقل من أربعة كذلك الحال
+
+216
+00:17:35,990 --> 00:17:40,510
+بقدر أعمل للتانية بقدر أعمل بس عاد مش هعمل U هو هو
+
+217
+00:17:40,510 --> 00:17:44,430
+نفس المتغير بدي أجيب متغير آخر بسميه V بصير عندي X
+
+218
+00:17:44,430 --> 00:17:51,710
+زائد تلاتة Y زائد V بساوي ستة نفس الأشياء الـ V
+
+219
+00:17:51,710 --> 00:17:56,510
+هذا بدي أكون non-negative من Zero لفصاعدا وبالتالي
+
+220
+00:17:56,510 --> 00:18:00,840
+لما هو بيكبرلازم هدول يصغروا عشان يظل المجموع ستة
+
+221
+00:18:00,840 --> 00:18:04,420
+فهدول خلاص حكمت عليهم ان هم يكون اقل من ستة اقل او
+
+222
+00:18:04,420 --> 00:18:07,860
+يساوي طبعا لما يكون و Zero لما يكون ال V بيساوي
+
+223
+00:18:07,860 --> 00:18:13,360
+Zero تمام نفس الكلام بقدر اسوي لو كان عندي هدول ال
+
+224
+00:18:13,360 --> 00:18:17,440
+inequalities greater than مش less than و لا لأ
+
+225
+00:18:17,440 --> 00:18:21,440
+يعني لو كانت اصلا الشرط X زائد Y greater than or
+
+226
+00:18:21,440 --> 00:18:27,400
+equal 4 بروح بس ايش بعمل ناقص U و لا لأ X زائد U
+
+227
+00:18:29,900 --> 00:18:33,440
+خلّيني أبسطها، إن بس مجرد إيش ال X أكبر من أو
+
+228
+00:18:33,440 --> 00:18:38,460
+تساوي أربعة، صح؟ بقول X ماقص U يساوي أربعة، الآن
+
+229
+00:18:38,460 --> 00:18:42,380
+أنا ال U برضه هيكون موجب، لما بكبر ال U لازم ال X
+
+230
+00:18:42,380 --> 00:18:47,000
+تكبر عشان الفرق ما بينهم يثبت على أربعة، يبقى أنا
+
+231
+00:18:47,000 --> 00:18:51,440
+أفرضت على أو خلّيت ال U دايما تبقى أربعة، دايما
+
+232
+00:18:51,440 --> 00:18:55,090
+أربعة فما فوق يعني، أكبر من أربعةبهذه الطريقة
+
+233
+00:18:55,090 --> 00:18:59,430
+نستطيع ببساطة انعالج قضية الـ inequality و نحولها
+
+234
+00:18:59,430 --> 00:19:03,250
+ل equality حولها ل equality تمام؟ لما تتحول ل
+
+235
+00:19:03,250 --> 00:19:06,510
+equality خلاص بصير عندي انا بقدر اتعامل معاها بال
+
+236
+00:19:06,510 --> 00:19:11,390
+simplex method ايه الآن؟ بنعرف طالع على ال simplex
+
+237
+00:19:11,390 --> 00:19:18,750
+method ال simplex method بتعتمد على ال geometric
+
+238
+00:19:18,750 --> 00:19:21,030
+representation للproblem شو يعني ال geometric
+
+239
+00:19:21,030 --> 00:19:26,310
+representation؟ هدول الآنهدول الآن لما انا بعد هيك
+
+240
+00:19:26,310 --> 00:19:28,130
+برضه ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+241
+00:19:28,130 --> 00:19:28,430
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+242
+00:19:28,430 --> 00:19:29,870
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+243
+00:19:29,870 --> 00:19:30,850
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+244
+00:19:30,850 --> 00:19:32,210
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+245
+00:19:32,210 --> 00:19:35,590
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+246
+00:19:35,590 --> 00:19:35,610
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+247
+00:19:35,610 --> 00:19:41,130
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+248
+00:19:41,130 --> 00:19:51,370
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+249
+00:19:51,370 --> 00:19:57,020
+ا ا ا ا االخط هذا على صفحة من صفحة تابعونه سيكون
+
+250
+00:19:57,020 --> 00:20:00,880
+القيم أكبر من أربعة وعلى ناحية التانية أقل من
+
+251
+00:20:00,880 --> 00:20:10,200
+أربعة يعني هكذا مثلا، هذا الـ line هو خط X زي 3 هو
+
+252
+00:20:10,200 --> 00:20:17,740
+Y سواء 6كل النقاط اللي واقع على الخط فيما هيك أقل
+
+253
+00:20:17,740 --> 00:20:22,020
+من يحققوا ال constraints ال constraint اللي هو
+
+254
+00:20:22,020 --> 00:20:25,180
+less than or equal النقاط اللي برا الخط على ناحية
+
+255
+00:20:25,180 --> 00:20:30,000
+هذه هم اللي are greater than و نفس الشيء الخط
+
+256
+00:20:30,000 --> 00:20:33,440
+التاني هذا X زائد Y بساوية أربعة كل النقاط اللي
+
+257
+00:20:33,440 --> 00:20:40,140
+عليه و جاي لهيك بتحقق ال constraint اللي هي less
+
+258
+00:20:40,140 --> 00:20:46,640
+than or equalتمام الخط هذا اللي هو ال Y ال X Axis
+
+259
+00:20:46,640 --> 00:20:54,080
+ال X Axis ال X Axis كل النقاط اللي عليه X أكبر من
+
+260
+00:20:54,080 --> 00:21:03,300
+0 تمام فهو هو هو X less than .. X greater than or
+
+261
+00:21:03,300 --> 00:21:03,620
+equal
+
+262
+00:21:06,490 --> 00:21:10,570
+هذه النقطة التي تسمى less وهذه التي تسمى equal
+
+263
+00:21:10,570 --> 00:21:16,070
+وهذه التي تسمى أكبر منها أنا
+
+264
+00:21:16,070 --> 00:21:22,130
+أسف، هذه هي الـY اليمين
+
+265
+00:21:22,130 --> 00:21:26,630
+و الشمال هم الـX والأعلى و الأسفة هم الـY أنا ماني
+
+266
+00:21:26,630 --> 00:21:32,410
+بمن؟ بالذي أكبر من الـX أو أكبر من الـY يبقى الآن
+
+267
+00:21:32,410 --> 00:21:40,290
+ال region هذهال region هذه بتحصر ال اياش النقاط
+
+268
+00:21:40,290 --> 00:21:46,070
+اللي مرشح هنا تكون solutions ولا لأ مرشح هنا تكون
+
+269
+00:21:46,070 --> 00:21:50,170
+solution انا ال solution اللي بدور عليه هو واحد من
+
+270
+00:21:50,170 --> 00:21:56,750
+هدولة يحقق ليه maximum اياش وين كانت؟ ما كتبناش
+
+271
+00:21:56,750 --> 00:22:00,330
+احنا اللي هي ايش كانت؟
+
+272
+00:22:03,020 --> 00:22:12,340
+اللي هي تلاتة X زائد خمسة Y بدور
+
+273
+00:22:12,340 --> 00:22:16,880
+أنا على نقطة تحقيقلي ال maximum value لهذا الكلام
+
+274
+00:22:16,880 --> 00:22:23,340
+هتكون النقطة جوا ال region هذه okay هذه ال region
+
+275
+00:22:23,340 --> 00:22:27,820
+اسمها feasible region يعني منطقة ال solutions
+
+276
+00:22:27,820 --> 00:22:31,100
+المرشحة ال solution المرشح للواحد هو feasible
+
+277
+00:22:31,100 --> 00:22:34,840
+solutionOkay ال objective function احنا عارفينها
+
+278
+00:22:34,840 --> 00:22:39,860
+ال optimal solution هو قيمة ال objective function
+
+279
+00:22:39,860 --> 00:22:46,300
+هو هو النقطة بداخل ال region اللي بتحقق أعلى قيمة
+
+280
+00:22:46,300 --> 00:22:51,380
+لل objective function كويس كتير كويس كتير طيب احنا
+
+281
+00:22:51,380 --> 00:22:56,800
+الآن بالنظر هيكا و بطريقة بقدر
+
+282
+00:22:56,800 --> 00:22:59,200
+اقول انه ال solution
+
+283
+00:23:03,190 --> 00:23:07,490
+ممكن يكون واحد من هدولة هو صح ممكن يكون واحد من
+
+284
+00:23:07,490 --> 00:23:12,810
+هدولة بالظبط الآن يفترض ال .. ال .. ال optimal
+
+285
+00:23:12,810 --> 00:23:16,390
+هيكون عمليا واحد من .. ال optimal هيكون واحد من
+
+286
+00:23:16,390 --> 00:23:21,090
+هدولة هدولة النقاط بيسموهم ال extreme points
+
+287
+00:23:21,090 --> 00:23:27,450
+extreme يعني على أطراف الحدود okay و هم أبعد ما
+
+288
+00:23:27,450 --> 00:23:32,900
+يكون يعني في الحدودفيه theorem اللي هي extreme
+
+289
+00:23:32,900 --> 00:23:41,160
+point theorem ايش بتقول بتقول انه
+
+290
+00:23:41,160 --> 00:23:46,860
+any linear programming problem with a non-empty
+
+291
+00:23:46,860 --> 00:23:50,460
+bounded feasible region non-empty ال region هذه
+
+292
+00:23:50,460 --> 00:23:57,230
+ممكن تبقى empty بمعنى تبقى صغيرةمايبقاش فيها
+
+293
+00:23:57,230 --> 00:24:02,670
+solution او تبقى unbounded بمعنى ايش في منطقة منها
+
+294
+00:24:02,670 --> 00:24:07,850
+مافيش شي يعني زي هيك هذي unbounded هذه ال region
+
+295
+00:24:07,850 --> 00:24:12,630
+بيقولي الخط فما فوق و الخط هذا فما فوق يعني حول
+
+296
+00:24:12,630 --> 00:24:18,150
+less than إلى greater than تمام؟ و هيك و هيك
+
+297
+00:24:18,150 --> 00:24:23,370
+فانفتحت ال region صارت unbounded ال unbounded ده
+
+298
+00:24:23,370 --> 00:24:27,580
+مانقدرش نجيلها solutionلازم تبقى bounded و لازم
+
+299
+00:24:27,580 --> 00:24:32,720
+تبقى مش empty فال theorem بتقول انه any linear
+
+300
+00:24:32,720 --> 00:24:35,380
+programming problem with a non-empty bounded
+
+301
+00:24:35,380 --> 00:24:41,080
+feasible region has an optimal solution لحل ثانيا
+
+302
+00:24:41,080 --> 00:24:45,980
+an optimal solution can always be found at ال
+
+303
+00:24:45,980 --> 00:24:51,180
+extreme points هنلاجيه في ال extreme points of the
+
+304
+00:24:51,180 --> 00:24:55,320
+problem's feasible regionوالله ما زال الحكاية زي
+
+305
+00:24:55,320 --> 00:25:02,400
+هيك يبقى على طول في طريقة مباشرة لحل ال linear
+
+306
+00:25:02,400 --> 00:25:06,480
+programming problem هذه بأمسك ال extreme points
+
+307
+00:25:06,480 --> 00:25:10,860
+واحدة ورا التانية وبأفحص قيمة ال objective
+
+308
+00:25:10,860 --> 00:25:14,420
+function عند كل واحدة منهم باخده ال maximum ولا لا
+
+309
+00:25:14,420 --> 00:25:21,940
+هذا brute force approach لتعامل مع اللي هو ال
+
+310
+00:25:21,940 --> 00:25:25,840
+linear programming problemبناء على الـTheorem هذه
+
+311
+00:25:25,840 --> 00:25:28,880
+الـTheorem هذه أنا مستند إليها مش جايب من دماغي
+
+312
+00:25:28,880 --> 00:25:32,060
+لأن الـTheorem بتقول لي أنه solution كبير وحيكون
+
+313
+00:25:32,060 --> 00:25:36,100
+واحد من اللي ده حيكون عند واحد من ال extreme
+
+314
+00:25:36,100 --> 00:25:41,340
+points وخلاص بمسك ال extreme points وبعوض
+
+315
+00:25:41,340 --> 00:25:45,700
+على طول في المعادلة وبحسب بطلّق القيمة وبشوف مين
+
+316
+00:25:45,700 --> 00:25:48,400
+ال extreme point اللي بتعطيني أعلى قيمة okay هذا
+
+317
+00:25:48,400 --> 00:25:52,640
+الكلام جميل اللهم يا إلهي لإنه في تلت إشكاليات في
+
+318
+00:25:52,640 --> 00:25:57,520
+مشكلتينOkay فهي زي ما بنقول ال brute force
+
+319
+00:25:57,520 --> 00:25:59,740
+approach to the problem to the linear programming
+
+320
+00:25:59,740 --> 00:26:05,060
+problem تمام انه to compute ال value of the
+
+321
+00:26:05,060 --> 00:26:07,400
+objective function at each extreme point عن كل
+
+322
+00:26:07,400 --> 00:26:11,460
+واحدة منهم okay و select the one with the best
+
+323
+00:26:11,460 --> 00:26:16,580
+value الاشكالي في هذا الكلام انه ان انا ال extreme
+
+324
+00:26:16,580 --> 00:26:20,480
+points ان انا اوجدهم يعني انا هنا بالنظر هيهم
+
+325
+00:26:20,480 --> 00:26:26,350
+بسهولة بطلع عليهم بجيبهملكن في المسائل العملية
+
+326
+00:26:26,350 --> 00:26:28,810
+بيبقى في عندي متغيرات كتيرة بيبقى عندي constraint
+
+327
+00:26:28,810 --> 00:26:34,090
+كتيرة فبصير التحدي هو انه what is ان انا الاجي
+
+328
+00:26:34,090 --> 00:26:38,010
+algorithm اللي طلقلي ال extreme points طبعا ال
+
+329
+00:26:38,010 --> 00:26:42,290
+extreme points هي تقاطعات الخطوط عشان انا اجيب
+
+330
+00:26:42,290 --> 00:26:47,010
+التقاطعات هذه من معادلات الخطوط حد في حد ذاته بده
+
+331
+00:26:48,000 --> 00:26:54,400
+هو يبحث عن طرق مختلفة ومتعددة ويبحث عن أفضل طريقة
+
+332
+00:26:55,640 --> 00:27:00,600
+هذا ليس مش هو المشكلة الوحيدة المشكلة التانية انه
+
+333
+00:27:00,600 --> 00:27:04,160
+هذه النقاط ال extreme points اللي انا انا اندي بس
+
+334
+00:27:04,160 --> 00:27:06,980
+مثلة بسيطة فيها اربع extreme points لكن في المسائل
+
+335
+00:27:06,980 --> 00:27:10,860
+الحقيقية عدد ال extreme points بيتناسب ترضيا مع
+
+336
+00:27:10,860 --> 00:27:14,680
+حجم ال problem حجم ال problem عندنا هنا بيجي فعل
+
+337
+00:27:14,680 --> 00:27:19,200
+حاجتين اللي هم N و M عدد ال variables اللي هو N
+
+338
+00:27:20,040 --> 00:27:23,400
+وعدد الـ constraints اللي هو M زي ما قلنا لما بكتر
+
+339
+00:27:23,400 --> 00:27:26,660
+ال variables أنا هنا بس هنا two variables لكن في
+
+340
+00:27:26,660 --> 00:27:30,120
+المسائل الحقيقية بتمد يمكن عشرات بالمئات ال
+
+341
+00:27:30,120 --> 00:27:34,660
+variables وبالتالي بتمد برضه ال constraints ليش؟
+
+342
+00:27:34,660 --> 00:27:37,840
+لأنه في علاقة ما بين الإتنين على فكرة ماحكيناش إن
+
+343
+00:27:37,840 --> 00:27:44,130
+دايما N تساوي أو أكبر من Mعدد ال variables أكبر من
+
+344
+00:27:44,130 --> 00:27:48,990
+أو يساوي عدد ال constraints فلما بتكتر ال
+
+345
+00:27:48,990 --> 00:27:51,210
+variables و بتكتر ال constraints و بتكتر ال
+
+346
+00:27:51,210 --> 00:27:58,990
+extreme points بصير ان انا اعمل brute force يعني
+
+347
+00:27:58,990 --> 00:28:02,350
+اشوف طريقة كيف ت generate ال extreme points و كيف
+
+348
+00:28:02,350 --> 00:28:07,770
+ت calculate كل ال extreme points كل ال objective
+
+349
+00:28:07,770 --> 00:28:13,010
+function كلهم و اجيب ال maximumبصير .. لأ في أفضل
+
+350
+00:28:13,010 --> 00:28:16,650
+من هيك .. في أفضل من هيك هو اللي هو الـ Simplex
+
+351
+00:28:16,650 --> 00:28:20,550
+method الSimplex method بتعتمد على أنه احنا بنبدأ
+
+352
+00:28:20,550 --> 00:28:24,310
+من واحدة من ال extreme points دولة و بننتقل إلى
+
+353
+00:28:24,310 --> 00:28:32,150
+جارتها مش هم بقدر أجيبهم هي واحدة و هي جارتها و هي
+
+354
+00:28:32,150 --> 00:28:35,510
+جارتها و هي جارتها بقدر ألف عليهم من واحدة ل ال
+
+355
+00:28:35,510 --> 00:28:42,450
+adjacentطالما أن الـ Adjacent بتعطيني solution
+
+356
+00:28:42,450 --> 00:28:46,730
+أفضل، بنتقل للي بعدها، و اللي بعدها طالما أنه فيه
+
+357
+00:28:46,730 --> 00:28:51,010
+تحسن في الـ meanفي الـ objective function لما نيجى
+
+358
+00:28:51,010 --> 00:28:56,110
+في التحسن بجف و باخد ال solution الأخير على أنه هو
+
+359
+00:28:56,110 --> 00:29:01,350
+ال optimal يعني مرة أخرى ال simplest method هي ال
+
+360
+00:29:01,350 --> 00:29:04,370
+basic method for solving LP problems invented by
+
+361
+00:29:04,370 --> 00:29:08,970
+George Danzig ال idea تبعتها based on the
+
+362
+00:29:08,970 --> 00:29:11,790
+iterative improvement هذا الكلام اللي قلته هو
+
+363
+00:29:11,790 --> 00:29:15,070
+iterative improvement بجيب solution و ببحث عن أفضل
+
+364
+00:29:15,070 --> 00:29:18,200
+منه ولا أفضل ولا أفضل إلى أن مالاجيش أفضلOkay
+
+365
+00:29:18,200 --> 00:29:22,680
+optimum بالظبط ف starts at any extreme point and
+
+366
+00:29:22,680 --> 00:29:27,720
+هنا يعني أي حاجة أي حاجة ممكن أبدأ فيها any
+
+367
+00:29:27,720 --> 00:29:30,240
+extreme point of the problems feasible region
+
+368
+00:29:30,240 --> 00:29:34,820
+keeps generating and examining one adjacent point
+
+369
+00:29:34,820 --> 00:29:37,880
+after the other after another one adjacent point
+
+370
+00:29:37,880 --> 00:29:42,680
+after another طالما أنه في improving للليش لل
+
+371
+00:29:42,680 --> 00:29:46,180
+objective function until no further improvement is
+
+372
+00:29:46,180 --> 00:29:52,430
+possible okayبنشوف مثال على ذلك بال simplex method
+
+373
+00:29:52,430 --> 00:29:58,950
+بس في الأول في عندنا ايش اول اشي نتفج على انه ال
+
+374
+00:29:58,950 --> 00:30:02,770
+problem عشان اقدر استخدم ال simplex method لازم
+
+375
+00:30:02,770 --> 00:30:08,430
+تبقى maximization problem قولنا قبل شوية انه في
+
+376
+00:30:08,430 --> 00:30:12,090
+chapter 6 واضح انه انا بقدر اذا هي minimization
+
+377
+00:30:12,090 --> 00:30:21,000
+اقلبها اه و انا اقلب الحلIt must be a maximization
+
+378
+00:30:21,000 --> 00:30:25,140
+problem. All the constraints must be in the form
+
+379
+00:30:25,140 --> 00:30:27,980
+of linear equations with non-negative right-hand
+
+380
+00:30:27,980 --> 00:30:32,860
+side.كل ال constraints equation يعني equalities و
+
+381
+00:30:32,860 --> 00:30:35,980
+non-negative right-hand side يعني ال right-hand
+
+382
+00:30:35,980 --> 00:30:43,780
+side ال B هذا يبقى non-negative zero or more صح؟و
+
+383
+00:30:43,780 --> 00:30:46,940
+يكون all the variables must be required to be برضه
+
+384
+00:30:46,940 --> 00:30:47,480
+non-negative.
+
+385
+00:30:50,780 --> 00:30:56,740
+طبعا قلت أيضا أن N أكبر من أو تساوي Mوهي الصيغة
+
+386
+00:30:56,740 --> 00:30:59,420
+إذا أنا بقدر أصيغ ال problem تبعتي يعني سواء كانت
+
+387
+00:30:59,420 --> 00:31:04,300
+مثلا stocks و bonds وكده و لا مثلا نفسك و لا إيش
+
+388
+00:31:04,300 --> 00:31:07,420
+ما كان بقى إذا قدرت أصيغها على أساس أنها one
+
+389
+00:31:07,420 --> 00:31:11,000
+single objective function عملها maximization
+
+390
+00:31:11,000 --> 00:31:14,960
+ومعاها مجموعة من ال constraints وكل ال constraints
+
+391
+00:31:14,960 --> 00:31:18,260
+جايات equalities وعلى ال right hand side positive
+
+392
+00:31:18,260 --> 00:31:23,400
+واجتها بقدر أتبع الخطوات الثابتة تبع ال simplex
+
+393
+00:31:23,400 --> 00:31:29,210
+methodOkay في شغل أخرى أنه احنا بنقدر نحوّل
+
+394
+00:31:29,210 --> 00:31:34,710
+المعادلات هذه على شكل matrix form بمعنى أنه انا
+
+395
+00:31:34,710 --> 00:31:38,570
+الآن okay
+
+396
+00:31:38,570 --> 00:31:43,270
+هنا في ال slide هذه زي ما قلنا انا كيف حول؟ حول ال
+
+397
+00:31:43,270 --> 00:31:48,190
+inequality إلى equality أضاف ال U و هنا أضاف ال V
+
+398
+00:31:50,080 --> 00:31:54,500
+الان صار في هندي صار هندي اه صح نسينا نقول ان هاد
+
+399
+00:31:54,500 --> 00:31:57,880
+ال variables اللي انضفناهم في ال constraint لازم
+
+400
+00:31:57,880 --> 00:32:01,400
+نضيفهم في ال mean في ال objective function بس
+
+401
+00:32:01,400 --> 00:32:04,880
+هنضيفهم ب coefficient zero يعني انضفناهم و
+
+402
+00:32:04,880 --> 00:32:07,980
+ماضفناهم مش في نفس الوجه صح؟ يعني وجودهم من عدمه
+
+403
+00:32:07,980 --> 00:32:12,280
+واحد صح؟ لما عملنا ال coefficients سبتهم zeros
+
+404
+00:32:12,280 --> 00:32:17,740
+okay الان هذه الصيغة هي ال ال مثل تبعنا تلاتة X
+
+405
+00:32:17,740 --> 00:32:23,260
+زات خمسة Yهذه الصيغة مطابقة للشروط اللي توي
+
+406
+00:32:23,260 --> 00:32:29,960
+حكيناها انه اولا equalities وثانيا موجب ال B تالفا
+
+407
+00:32:29,960 --> 00:32:33,960
+كله اكبر من Zero الان صار في N دي عدد المتغيرات
+
+408
+00:32:33,960 --> 00:32:39,120
+جداش اربعة صار ال X و ال Y و ال U و ال V و ال
+
+409
+00:32:39,120 --> 00:32:43,860
+constraints ضالهم اتنين يعني N الان صارت اربعة و M
+
+410
+00:32:43,860 --> 00:32:51,610
+بسوية اتنينالان انا بقدر ابدأ في ال .. اول حاجة
+
+411
+00:32:51,610 --> 00:32:55,810
+اللي لازم اخد من هذا اللي هو ال matrix form ال
+
+412
+00:32:55,810 --> 00:33:04,990
+matrix form ان احنا بنيجي ال
+
+413
+00:33:04,990 --> 00:33:10,630
+matrix form هذا لل .. لل .. لل .. لل solution احنا
+
+414
+00:33:10,630 --> 00:33:14,690
+الآن بدنا نطلع على ال constraint functions مش هذا
+
+415
+00:33:14,690 --> 00:33:20,630
+ال constraint functions؟اللي هي هذه X زي Y زي U
+
+416
+00:33:20,630 --> 00:33:26,750
+سوى أربعة و X ثلاثة و Y زي صفر U زي V سوى ستة صح؟
+
+417
+00:33:26,750 --> 00:33:34,430
+فانا هنا هنا واحد يعني نفسهم
+
+418
+00:33:34,430 --> 00:33:37,730
+هم المعادلة هنا واحد و هنا واحد و هنا واحد و هنا
+
+419
+00:33:37,730 --> 00:33:42,990
+صفر لل V صح؟ و هنا واحد و هنا ثلاثة و هنا صفر لل U
+
+420
+00:33:42,990 --> 00:33:47,120
+و هنا واحد لل Vالان ال matrix formula من هذا
+
+421
+00:33:47,120 --> 00:33:54,560
+الكلام اللي هو انا باجي اقول X ضرب 1 1 زائد Y ضرب
+
+422
+00:33:54,560 --> 00:34:10,000
+1 3 زائد U ضرب 1 0 زائد V ضرب 0 1 يساوي 4 6 واضح
+
+423
+00:34:10,000 --> 00:34:14,730
+هذا؟لان خلاص انا باخد هدولة و بدمجهم في مصفوفة
+
+424
+00:34:14,730 --> 00:34:24,350
+واحدة اللي هي 11131010146
+
+425
+00:34:24,350 --> 00:34:32,650
+بتشكل اندي الجزء
+
+426
+00:34:32,650 --> 00:34:43,090
+هذا صح؟ يظل اندي السطر الأخيرالسطر الأخير هذا ان
+
+427
+00:34:43,090 --> 00:34:53,610
+انا ايش بسوي باصفر ال U و ال V و باجلب .. وين ال
+
+428
+00:34:53,610 --> 00:34:56,670
+.. هاي ال .. هاي ال objective function باخد ..
+
+429
+00:34:56,670 --> 00:35:01,690
+باخد عكس ال coefficients تبع ال .. تبع ال .. تبع
+
+430
+00:35:01,690 --> 00:35:04,670
+ال variables يعني ال Y ال coefficients تبعها خمسة
+
+431
+00:35:04,670 --> 00:35:09,010
+بحط نقص خمسة و ال V .. و ال X تلاتة بصيحه نقص
+
+432
+00:35:09,010 --> 00:35:10,810
+تلاتة okay الان
+
+433
+00:35:12,750 --> 00:35:21,370
+هذا الكلام كله اسمه اسمه اللي هو الـ
+
+434
+00:35:21,370 --> 00:35:30,990
+Simplex Tableau Simplex Tableau
+
+435
+00:35:30,990 --> 00:35:37,090
+بيتكون من عدد من الأسطر و عدد من الأعمدة الأعمدة
+
+436
+00:35:37,090 --> 00:35:41,470
+يساوي عدد ال variables هاي X و هاي Y و هاي U و هاي
+
+437
+00:35:41,470 --> 00:35:47,010
+Vعدد الأسطر يساوي .. عدد الأعمد يساوي عدد ال ..
+
+438
+00:35:47,010 --> 00:35:51,230
+variable زائد واحد الواحد اللي هو تبقى اللي هيش ال
+
+439
+00:35:51,230 --> 00:35:57,150
+B وعدد الأسطر يساوي عدد ال M ال constraints زائد
+
+440
+00:35:57,150 --> 00:36:09,910
+واحد الواحد هذا نسميه ال objective raw objective
+
+441
+00:36:09,910 --> 00:36:10,330
+raw
+
+442
+00:36:13,670 --> 00:36:18,170
+Okay؟ وهذا ال .. ايش؟ ال .. ال basic feasible
+
+443
+00:36:18,170 --> 00:36:23,150
+solution column الخلية هذه اللي هي قيمة ال
+
+444
+00:36:23,150 --> 00:36:26,210
+objective function عند هذا ال solution ايش ال
+
+445
+00:36:26,210 --> 00:36:31,570
+solution اللي احنا بنعبر عنه هنا؟
+
+446
+00:36:31,570 --> 00:36:33,950
+ايش ال solution؟ ما .. ما .. ما جيبناش سلسل
+
+447
+00:36:33,950 --> 00:36:41,390
+solutions 004600
+
+448
+00:36:43,250 --> 00:36:53,070
+أربعة ستة هذا solution قيمة .. قيمة X هنا Zero و
+
+449
+00:36:53,070 --> 00:36:59,170
+ال Y Zero ال U أربعة و ال V ستة وين هذا الكلام
+
+450
+00:36:59,170 --> 00:37:07,570
+أجا؟ احنا افترضنا ان ال X و ال Y Zero و حطينا ال U
+
+451
+00:37:07,570 --> 00:37:15,420
+أربعة و ال V ستةبحقق الـ constraints قبل ما يعطيني
+
+452
+00:37:15,420 --> 00:37:20,720
+قيمة هنا أولا، هل هذه النقاط،
+
+453
+00:37:20,720 --> 00:37:24,760
+الـ values بتحقق الـ constraints أين؟ هايحطينا هذا
+
+454
+00:37:24,760 --> 00:37:29,200
+Zero وهذا Zero وهنا أربعة، أربعة يساوي أربعة، هذا
+
+455
+00:37:29,200 --> 00:37:33,360
+Zero وهذا Zero وهذا أصلا هو الـ coefficient Zero
+
+456
+00:37:33,360 --> 00:37:38,120
+وهنا ستة، ستة يساوي ستة يعني هذا feasible solution
+
+457
+00:37:39,120 --> 00:37:44,240
+أو candidate solution او solution ايش؟ solution
+
+458
+00:37:44,240 --> 00:37:50,500
+مرشح ال solution هدا هو حطينا ال X و ال Y زيرو
+
+459
+00:37:50,500 --> 00:37:57,940
+صفرنا two variables هدولة و حطينا قيم لل U و ال V
+
+460
+00:37:57,940 --> 00:38:04,550
+ات ايش؟ اتحقق ال equality اتحقق ال constraintطب
+
+461
+00:38:04,550 --> 00:38:07,770
+خلاص إذا كان هذا الـ candidate solution، بناشوف
+
+462
+00:38:07,770 --> 00:38:10,430
+قيمة الـ objective function عند هذا الـ solution،
+
+463
+00:38:10,430 --> 00:38:26,950
+و أنا أعوض، باعوض هنا، هذا Zero،
+
+464
+00:38:33,340 --> 00:38:41,560
+الـ Region أي واحدة من الـ Extreme Points X سواء
+
+465
+00:38:41,560 --> 00:38:47,180
+Zero وY سواء Zero صح؟ الآن الـ method هتنجلني على
+
+466
+00:38:47,180 --> 00:38:51,100
+واحدة من الـ Adjacent تبعها إما هذه أو هذا وتحسب
+
+467
+00:38:51,100 --> 00:38:55,820
+عند هذا الـ Adjacent قداش ال value
+
+468
+00:38:59,280 --> 00:39:06,320
+فانا عامليا هاتقل من
+
+469
+00:39:06,320 --> 00:39:16,160
+تابلو لتابلو إلى أن أصل إلى .. من تابلو إلى تابلو
+
+470
+00:39:16,160 --> 00:39:19,980
+إلى أن أصل .. شوفي هنا Zero سلطة عشرة سلطة أربعة
+
+471
+00:39:19,980 --> 00:39:24,420
+عشر إلى أن أصل إلى إشي لا يعطيني تحسن
+
+472
+00:39:28,480 --> 00:39:34,060
+الكلام هذا انه يعطيني تحسن بقدر اعرفه من مؤشرات
+
+473
+00:39:34,060 --> 00:39:40,560
+عندي هنا في الـ objective row إذا طبعا لو ياندي
+
+474
+00:39:40,560 --> 00:39:46,440
+variables هنا negative بستمر لما نصيروا كلهم non
+
+475
+00:39:46,440 --> 00:39:55,270
+-negative بجف بعرف ان انا وصلت لأفضل شيءوباخد الـ
+
+476
+00:39:55,270 --> 00:39:58,390
+Value هذا على أن هو الـ Value تبع الـ Objective
+
+477
+00:39:58,390 --> 00:40:04,610
+Function وباخد إيش القيم هدولة على أساس هم القيم
+
+478
+00:40:04,610 --> 00:40:09,870
+تبعت مين المتغيرات okay؟ هذه الكلام بنشوفه عملي
+
+479
+00:40:09,870 --> 00:40:11,490
+المحاضرة الجاي ان شاء الله أعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..a92ccfde5c11a5252f90dec225c64b4e05cc4f56
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_raw.json
@@ -0,0 +1 @@
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"probability": 0.83984375}, {"start": 194.2, "end": 194.42, "word": " او", "probability": 0.887451171875}, {"start": 194.42, "end": 194.58, "word": " two", "probability": 0.92138671875}, {"start": 194.58, "end": 194.88, "word": " jumps", "probability": 0.83154296875}, {"start": 194.88, "end": 195.04, "word": " او", "probability": 0.978759765625}, {"start": 195.04, "end": 195.14, "word": " two", "probability": 0.87841796875}, {"start": 195.14, "end": 195.5, "word": " links", "probability": 0.9091796875}, {"start": 195.5, "end": 196.36, "word": " او", "probability": 0.9599609375}, {"start": 196.36, "end": 196.74, "word": " العدد", "probability": 0.7510579427083334}, {"start": 196.74, "end": 196.84, "word": " اللي", "probability": 0.985107421875}, {"start": 196.84, "end": 197.06, "word": " طولها", "probability": 0.9913736979166666}, {"start": 197.06, "end": 197.46, "word": " تلاتة", "probability": 0.8485107421875}, {"start": 197.46, "end": 197.54, "word": " او", "probability": 0.9033203125}, {"start": 197.54, "end": 198.26, "word": " اربعة", "probability": 0.6334635416666666}, {"start": 198.26, "end": 198.96, "word": " بروح", "probability": 0.826171875}, {"start": 198.96, "end": 199.3, "word": " باخد", "probability": 0.9332682291666666}, {"start": 199.3, "end": 199.38, "word": " ال", "probability": 0.7099609375}, {"start": 199.38, "end": 199.92, "word": " adjacency", "probability": 0.99072265625}, {"start": 199.92, "end": 200.34, "word": " matrix", "probability": 0.9013671875}], "temperature": 1.0}, {"id": 8, "seek": 22248, "start": 201.66, "end": 222.48, "text": "و بضربها في نفس الشاشة two يعني برفعها ل power two بيطلع اني عدد المسارات اللي طولها two هنا من a ل a في تلت مسارات طولها two من a ل .. من b ل .. من b ل c في واحد مسار ماشي فالمصفوفة هذه بتعطيني", "tokens": [2407, 4724, 11242, 25513, 11296, 8978, 8717, 36178, 25124, 33599, 3660, 732, 37495, 22653, 4724, 28480, 3615, 11296, 5296, 1347, 732, 4724, 1829, 9566, 1211, 3615, 16472, 1829, 6225, 3215, 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0.1612548828125}, {"start": 206.62, "end": 207.02, "word": " يعني", "probability": 0.832275390625}, {"start": 207.02, "end": 207.66, "word": " برفعها", "probability": 0.9273681640625}, {"start": 207.66, "end": 207.76, "word": " ل", "probability": 0.398681640625}, {"start": 207.76, "end": 207.98, "word": " power", "probability": 0.57373046875}, {"start": 207.98, "end": 208.38, "word": " two", "probability": 0.81884765625}, {"start": 208.38, "end": 209.04, "word": " بيطلع", "probability": 0.93037109375}, {"start": 209.04, "end": 209.28, "word": " اني", "probability": 0.65869140625}, {"start": 209.28, "end": 209.64, "word": " عدد", "probability": 0.98486328125}, {"start": 209.64, "end": 210.28, "word": " المسارات", "probability": 0.8955078125}, {"start": 210.28, "end": 210.42, "word": " اللي", "probability": 0.81494140625}, {"start": 210.42, "end": 210.72, "word": " طولها", "probability": 0.9920247395833334}, {"start": 210.72, "end": 210.98, "word": " two", "probability": 0.92236328125}, {"start": 210.98, "end": 211.82, "word": " هنا", "probability": 0.89404296875}, {"start": 211.82, "end": 212.12, "word": " من", "probability": 0.982421875}, {"start": 212.12, "end": 212.42, "word": " a", "probability": 0.64501953125}, {"start": 212.42, "end": 212.58, "word": " ل", "probability": 0.82177734375}, {"start": 212.58, "end": 212.86, "word": " a", "probability": 0.85009765625}, {"start": 212.86, "end": 213.06, "word": " في", "probability": 0.81982421875}, {"start": 213.06, "end": 213.94, "word": " تلت", "probability": 0.7828776041666666}, {"start": 213.94, "end": 214.46, "word": " مسارات", "probability": 0.9879557291666666}, {"start": 214.46, "end": 214.78, "word": " طولها", "probability": 0.9835611979166666}, {"start": 214.78, "end": 214.96, "word": " two", "probability": 0.91943359375}, {"start": 214.96, "end": 215.84, "word": " من", "probability": 0.884765625}, {"start": 215.84, "end": 216.24, "word": " a", "probability": 0.87158203125}, {"start": 216.24, "end": 216.48, "word": " ل", "probability": 0.73291015625}, {"start": 216.48, "end": 216.66, "word": " ..", "probability": 0.29345703125}, {"start": 216.66, "end": 216.88, "word": " من", "probability": 0.90771484375}, {"start": 216.88, "end": 217.16, "word": " b", "probability": 0.8447265625}, {"start": 217.16, "end": 217.34, "word": " ل", "probability": 0.64599609375}, {"start": 217.34, "end": 217.34, "word": " ..", "probability": 0.8232421875}, {"start": 217.34, "end": 217.5, "word": " من", "probability": 0.9599609375}, {"start": 217.5, "end": 217.72, "word": " b", "probability": 0.93896484375}, {"start": 217.72, "end": 217.86, "word": " ل", "probability": 0.87744140625}, {"start": 217.86, "end": 218.16, "word": " c", "probability": 0.56298828125}, {"start": 218.16, "end": 218.44, "word": " في", "probability": 0.89013671875}, {"start": 218.44, "end": 218.78, "word": " واحد", "probability": 0.989501953125}, {"start": 218.78, "end": 219.18, "word": " مسار", "probability": 0.987548828125}, {"start": 219.18, "end": 220.06, "word": " ماشي", "probability": 0.8693033854166666}, {"start": 220.06, "end": 221.62, "word": " فالمصفوفة", "probability": 0.8837076822916666}, {"start": 221.62, "end": 221.84, "word": " هذه", "probability": 0.6259765625}, {"start": 221.84, "end": 222.48, "word": " بتعطيني", "probability": 0.93212890625}], "temperature": 1.0}, {"id": 9, "seek": 23663, "start": 223.95, "end": 236.63, "text": "عدد المسارات اللي طولها كذا طولها هو ال power هنا ال adjacency matrix نفسها عدد المسارات اللي طولها one اللي هي يعني link واحدة صح؟ في link واحد ما بين a و b", "tokens": [22488, 3215, 9673, 3794, 9640, 9307, 13672, 1829, 23032, 12610, 11296, 9122, 15730, 23032, 12610, 11296, 31439, 2423, 1347, 34105, 2423, 22940, 3020, 8141, 8717, 36178, 11296, 6225, 3215, 3215, 9673, 3794, 9640, 9307, 13672, 1829, 23032, 12610, 11296, 472, 13672, 1829, 39896, 37495, 22653, 2113, 36764, 24401, 3660, 20328, 5016, 22807, 8978, 2113, 36764, 24401, 19446, 49374, 257, 4032, 272], "avg_logprob": 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{"start": 228.29, "end": 228.81, "word": " adjacency", "probability": 0.923828125}, {"start": 228.81, "end": 229.21, "word": " matrix", "probability": 0.90185546875}, {"start": 229.21, "end": 229.87, "word": " نفسها", "probability": 0.9532877604166666}, {"start": 229.87, "end": 230.43, "word": " عدد", "probability": 0.9705403645833334}, {"start": 230.43, "end": 230.91, "word": " المسارات", "probability": 0.994384765625}, {"start": 230.91, "end": 231.03, "word": " اللي", "probability": 0.982421875}, {"start": 231.03, "end": 231.31, "word": " طولها", "probability": 0.9900716145833334}, {"start": 231.31, "end": 231.61, "word": " one", "probability": 0.8828125}, {"start": 231.61, "end": 231.91, "word": " اللي", "probability": 0.9580078125}, {"start": 231.91, "end": 232.03, "word": " هي", "probability": 0.7236328125}, {"start": 232.03, "end": 232.35, "word": " يعني", "probability": 0.859130859375}, {"start": 232.35, "end": 233.17, "word": " link", "probability": 0.791015625}, {"start": 233.17, "end": 233.79, "word": " واحدة", "probability": 0.9899088541666666}, {"start": 233.79, "end": 234.59, "word": " صح؟", "probability": 0.734130859375}, {"start": 234.59, "end": 234.79, "word": " في", "probability": 0.6923828125}, {"start": 234.79, "end": 235.25, "word": " link", "probability": 0.8857421875}, {"start": 235.25, "end": 235.87, "word": " واحد", "probability": 0.801025390625}, {"start": 235.87, "end": 235.97, "word": " ما", "probability": 0.72802734375}, {"start": 235.97, "end": 236.19, "word": " بين", "probability": 0.98779296875}, {"start": 236.19, "end": 236.37, "word": " a", "probability": 0.5908203125}, {"start": 236.37, "end": 236.43, "word": " و", "probability": 0.90869140625}, {"start": 236.43, "end": 236.63, "word": " b", "probability": 0.6396484375}], "temperature": 1.0}, {"id": 10, "seek": 25998, "start": 237.78, "end": 259.98, "text": "المهم فهذا بذكركم فيه وفيه بعد هي كذا برضه reduction of optimization problems optimization problems لما نقول انه انا لما يكون في عندى maximization problem وانا مش عارف احلها ك maximization ممكن احولها ل minimization احلها ك minimization احلها ك minimization واطلعها ال minimum point", "tokens": [45340, 16095, 6156, 3224, 15730, 4724, 8848, 37983, 24793, 8978, 3224, 4032, 41185, 3224, 39182, 39896, 9122, 15730, 4724, 43042, 3224, 11004, 295, 19618, 2740, 19618, 2740, 5296, 15042, 8717, 39648, 16472, 3224, 1975, 8315, 5296, 15042, 7251, 30544, 8978, 43242, 7578, 5138, 2144, 1154, 4032, 7649, 995, 37893, 6225, 9640, 5172, 1975, 5016, 1211, 11296, 9122, 5138, 2144, 3714, 43020, 1975, 5016, 12610, 11296, 5296, 4464, 2144, 1975, 5016, 1211, 11296, 9122, 4464, 2144, 1975, 5016, 1211, 11296, 9122, 4464, 2144, 4032, 41193, 1211, 3615, 11296, 2423, 7285, 935], "avg_logprob": -0.26322114598620067, "compression_ratio": 1.9597989949748744, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 237.78, "end": 238.28, "word": "المهم", "probability": 0.815673828125}, {"start": 238.28, "end": 239.18, "word": " فهذا", "probability": 0.74462890625}, {"start": 239.18, "end": 239.72, "word": " بذكركم", "probability": 0.635467529296875}, {"start": 239.72, "end": 239.96, "word": " فيه", "probability": 0.916748046875}, {"start": 239.96, "end": 240.26, "word": " وفيه", "probability": 0.6454264322916666}, {"start": 240.26, "end": 240.44, "word": " بعد", "probability": 0.67431640625}, {"start": 240.44, "end": 240.6, "word": " هي", "probability": 0.435546875}, {"start": 240.6, "end": 240.76, "word": " كذا", "probability": 0.6275634765625}, {"start": 240.76, "end": 241.02, "word": " برضه", "probability": 0.8553059895833334}, {"start": 241.02, "end": 241.68, "word": " reduction", "probability": 0.295166015625}, {"start": 241.68, "end": 242.1, "word": " of", "probability": 0.92333984375}, {"start": 242.1, "end": 242.76, "word": " optimization", "probability": 0.88916015625}, {"start": 242.76, "end": 243.5, "word": " problems", "probability": 0.79345703125}, {"start": 243.5, "end": 243.94, "word": " optimization", "probability": 0.47265625}, {"start": 243.94, "end": 244.6, "word": " problems", "probability": 0.81201171875}, {"start": 244.6, "end": 244.82, "word": " لما", "probability": 0.60369873046875}, {"start": 244.82, "end": 245.0, "word": " نقول", "probability": 0.847412109375}, {"start": 245.0, "end": 245.36, "word": " انه", "probability": 0.3914794921875}, {"start": 245.36, "end": 245.52, "word": " انا", "probability": 0.794189453125}, {"start": 245.52, "end": 245.72, "word": " لما", "probability": 0.919189453125}, {"start": 245.72, "end": 245.92, "word": " يكون", "probability": 0.7012939453125}, {"start": 245.92, "end": 246.04, "word": " في", "probability": 0.86962890625}, {"start": 246.04, "end": 246.3, "word": " عندى", "probability": 0.4947509765625}, {"start": 246.3, "end": 246.98, "word": " maximization", "probability": 0.79345703125}, {"start": 246.98, "end": 247.48, "word": " problem", "probability": 0.95361328125}, {"start": 247.48, "end": 248.84, "word": " وانا", "probability": 0.9029947916666666}, {"start": 248.84, "end": 250.0, "word": " مش", "probability": 0.9755859375}, {"start": 250.0, "end": 250.3, "word": " عارف", "probability": 0.99462890625}, {"start": 250.3, "end": 250.62, "word": " احلها", "probability": 0.8984375}, {"start": 250.62, "end": 250.74, "word": " ك", "probability": 0.9775390625}, {"start": 250.74, "end": 251.34, "word": " maximization", "probability": 0.919677734375}, {"start": 251.34, "end": 251.54, "word": " ممكن", "probability": 0.864501953125}, {"start": 251.54, "end": 251.96, "word": " احولها", "probability": 0.942138671875}, {"start": 251.96, "end": 252.08, "word": " ل", "probability": 0.78173828125}, {"start": 252.08, "end": 252.8, "word": " minimization", "probability": 0.896728515625}, {"start": 252.8, "end": 253.64, "word": " احلها", "probability": 0.920654296875}, {"start": 253.64, "end": 253.74, "word": " ك", "probability": 0.98876953125}, {"start": 253.74, "end": 254.58, "word": " minimization", "probability": 0.951904296875}, {"start": 254.58, "end": 255.92, "word": " احلها", "probability": 0.94140625}, {"start": 255.92, "end": 256.06, "word": " ك", "probability": 0.990234375}, {"start": 256.06, "end": 256.76, "word": " minimization", "probability": 0.97509765625}, {"start": 256.76, "end": 258.58, "word": " واطلعها", "probability": 0.647021484375}, {"start": 258.58, "end": 258.64, "word": " ال", "probability": 0.88232421875}, {"start": 258.64, "end": 258.9, "word": " minimum", "probability": 0.9853515625}, {"start": 258.9, "end": 259.98, "word": " point", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 11, "seek": 28623, "start": 260.73, "end": 286.23, "text": "و بعد ذلك أقلب النتيج بيطلع عندي الحل تبقى ال maximization لإنه ال maximization هو reflection للمنميزيشن والعكس صحيح okay فكان هنا كل ما دول أمثلة على problem transforming ال problem into another problem صح؟ أخر إشي كان هنا وماوقفناش عنده كان الموضوع ال linear programming ماوقفناش عنده فإحنا الآن بينا نطلع 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"text": "و ايش ال constraints ان ال total وزن مايزيدش عن طاقة قصوة للحقيبة فانت ممكن تصيغي نفسك problem على شكل linear programming problem واضح؟ و تحليها بطريقة ال simplex method بس المهم انه احنا هنا هدفنا", "tokens": [2407, 1975, 1829, 8592, 2423, 18491, 16472, 2423, 3217, 4032, 11622, 1863, 19446, 1829, 11622, 25708, 8592, 18871, 23032, 995, 28671, 12174, 9381, 2407, 3660, 24976, 5016, 38436, 49401, 6156, 7649, 2655, 3714, 43020, 6055, 9381, 1829, 17082, 1829, 8717, 36178, 4117, 1154, 15844, 13412, 28820, 8213, 9410, 1154, 4032, 46958, 5016, 22807, 4032, 6055, 5016, 20292, 11296, 4724, 9566, 16572, 28671, 2423, 2199, 87, 3170, 4724, 3794, 9673, 16095, 16472, 3224, 1975, 5016, 8315, 34105, 8032, 3215, 5172, 8315], "avg_logprob": -0.20138889183232814, "compression_ratio": 1.4656862745098038, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 792.24, "end": 792.46, "word": "و", "probability": 0.91162109375}, {"start": 792.46, "end": 792.66, "word": " ايش", "probability": 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{"id": 54, "seek": 140865, "start": 1383.19, "end": 1408.65, "text": "ممكن يكون واحد من هدولة هو صح ممكن يكون واحد من هدولة بالظبط الآن يفترض ال .. ال .. ال optimal هيكون عمليا واحد من .. ال optimal هيكون واحد من هدولة هدولة النقاط بيسموهم ال extreme points extreme يعني على أطراف الحدود okay و هم أبعد ما يكون يعني في الحدود", "tokens": [2304, 43020, 7251, 30544, 36764, 24401, 9154, 8032, 3215, 12610, 3660, 31439, 20328, 5016, 3714, 43020, 7251, 30544, 36764, 24401, 9154, 8032, 3215, 12610, 3660, 20666, 19913, 3555, 9566, 6024, 48506, 7251, 5172, 2655, 43042, 2423, 4386, 2423, 4386, 2423, 16252, 39896, 30544, 6225, 2304, 20292, 995, 36764, 24401, 9154, 4386, 2423, 16252, 39896, 30544, 36764, 24401, 9154, 8032, 3215, 12610, 3660, 8032, 3215, 12610, 3660, 28239, 4587, 41193, 4724, 1829, 38251, 2407, 16095, 2423, 8084, 2793, 8084, 37495, 22653, 15844, 5551, 9566, 23557, 5172, 21542, 3215, 23328, 1392, 4032, 8032, 2304, 5551, 3555, 22488, 19446, 7251, 30544, 37495, 22653, 8978, 21542, 3215, 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variables أنا هنا بس هنا two variables لكن في المسائل الحقيقية بتمد يمكن عشرات بالمئات ال variables وبالتالي بتمد برضه ال constraints ليش؟ لأنه في علاقة ما بين الإتنين على فكرة ماحكيناش إن دايما N تساوي أو أكبر من M", "tokens": [2407, 22488, 3215, 2423, 39184, 18491, 13672, 1829, 31439, 376, 30767, 1829, 19446, 12174, 1211, 8315, 5296, 15042, 4724, 4117, 2655, 2288, 2423, 9102, 41850, 34105, 4724, 3794, 34105, 732, 9102, 44381, 8978, 9673, 3794, 16373, 1211, 21542, 38436, 4587, 10632, 39894, 2304, 3215, 7251, 43020, 6225, 46309, 9307, 20666, 2304, 19986, 9307, 2423, 9102, 46599, 6027, 2655, 6027, 1829, 39894, 2304, 3215, 4724, 43042, 3224, 2423, 18491, 32239, 8592, 22807, 5296, 33456, 3224, 8978, 11203, 995, 28671, 19446, 49374, 33688, 2655, 1863, 9957, 15844, 6156, 4117, 25720, 19446, 5016, 4117, 1829, 8315, 8592, 36145, 11778, 47302, 15042, 426, 6055, 3794, 995, 45865, 34051, 5551, 4117, 26890, 9154, 376], "avg_logprob": -0.21036932332949204, "compression_ratio": 1.7704918032786885, 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الـ", "probability": 0.85498046875}, {"start": 2397.57, "end": 2397.73, "word": " Value", "probability": 0.77587890625}, {"start": 2397.73, "end": 2397.93, "word": " تبع", "probability": 0.92431640625}, {"start": 2397.93, "end": 2398.03, "word": " الـ", "probability": 0.904541015625}, {"start": 2398.03, "end": 2398.39, "word": " Objective", "probability": 0.833984375}, {"start": 2398.39, "end": 2398.69, "word": " Function", "probability": 0.738037109375}, {"start": 2398.69, "end": 2399.97, "word": " وباخد", "probability": 0.7940266927083334}, {"start": 2399.97, "end": 2400.65, "word": " إيش", "probability": 0.6121012369791666}, {"start": 2400.65, "end": 2402.47, "word": " القيم", "probability": 0.894287109375}, {"start": 2402.47, "end": 2403.23, "word": " هدولة", "probability": 0.834228515625}, {"start": 2403.23, "end": 2403.59, "word": " على", "probability": 0.91650390625}, {"start": 2403.59, "end": 2403.91, "word": " أساس", "probability": 0.9755859375}, {"start": 2403.91, "end": 2404.15, "word": " هم", "probability": 0.910888671875}, {"start": 2404.15, "end": 2404.61, "word": " القيم", "probability": 0.957275390625}, {"start": 2404.61, "end": 2405.05, "word": " تبعت", "probability": 0.82861328125}, {"start": 2405.05, "end": 2405.31, "word": " مين", "probability": 0.695556640625}, {"start": 2405.31, "end": 2406.09, "word": " المتغيرات", "probability": 0.99091796875}, {"start": 2406.09, "end": 2408.79, "word": " okay؟", "probability": 0.2427978515625}, {"start": 2408.79, "end": 2408.97, "word": " هذه", "probability": 0.41552734375}, {"start": 2408.97, "end": 2409.25, "word": " الكلام", "probability": 0.810546875}, {"start": 2409.25, "end": 2409.63, "word": " بنشوفه", "probability": 0.8382568359375}, {"start": 2409.63, "end": 2409.87, "word": " عملي", "probability": 0.7623697916666666}, {"start": 2409.87, "end": 2410.33, "word": " المحاضرة", "probability": 0.87841796875}, {"start": 2410.33, "end": 2410.59, "word": " الجاي", "probability": 0.4130859375}, {"start": 2410.59, "end": 2410.69, "word": " ان", "probability": 0.59716796875}, {"start": 2410.69, "end": 2410.83, "word": " شاء", "probability": 0.99267578125}, {"start": 2410.83, "end": 2410.89, "word": " الله", "probability": 0.96240234375}, {"start": 2410.89, "end": 2411.21, "word": " أعطيكم", "probability": 0.79462890625}, {"start": 2411.21, "end": 2411.49, "word": " العافية", "probability": 0.7779947916666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2411.5780625, "duration_after_vad": 2312.78687499999}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..51c9996dc4d2270551ea3c22fe1065b55a78ac1b
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/XSAUlaFHHro_raw.srt
@@ -0,0 +1,1928 @@
+1
+00:00:20,770 --> 00:00:22,890
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:22,890 --> 00:00:25,130
+المرسلين اليوم ان شاء الله يا بنات بدنا نبدأ
+
+3
+00:00:25,130 --> 00:00:28,970
+chapter جديد بيتناول نوع آخر من ال algorithmات
+
+4
+00:00:28,970 --> 00:00:32,230
+بنسميها iterative improvement algorithms يعني
+
+5
+00:00:32,230 --> 00:00:38,150
+الأسلوب تبعها أنها بتعمل تحسين تدريجي على ال
+
+6
+00:00:38,150 --> 00:00:43,170
+current solution إلى أن تصل إلى ال solution الأفضل
+
+7
+00:00:43,470 --> 00:00:46,250
+ومن هنا بنقدر نربط ال interactive improvement بال
+
+8
+00:00:46,250 --> 00:00:49,270
+optimization يعني ال solution الأفضل يعني optimum
+
+9
+00:00:49,270 --> 00:00:53,010
+فال examples اللي هنشوفها عبارة عن optimization
+
+10
+00:00:53,010 --> 00:00:57,010
+problems و ال algorithmات اللي بتتعامل معاها
+
+11
+00:00:57,010 --> 00:00:59,730
+optimization problems و ال algorithmات اللي
+
+12
+00:00:59,730 --> 00:01:03,250
+بتتعامل معاها فيها إن أول إشي هناخد تلت شباق
+
+13
+00:01:03,250 --> 00:01:06,840
+succession عشرة واحد و عشرة اتنين و عشرة تلاتةإذا
+
+14
+00:01:06,840 --> 00:01:10,620
+كف الوجد طبعا إن شاء الله أول واحدة اللي هي أول
+
+15
+00:01:10,620 --> 00:01:14,520
+section عشر أو واحد بتناول algorithm اسمها simplex
+
+16
+00:01:14,520 --> 00:01:20,060
+method ال simplex method هذه هي method لحل مسألة
+
+17
+00:01:20,060 --> 00:01:23,780
+المسألة هذه اسمها ال linear programming problem
+
+18
+00:01:23,780 --> 00:01:27,900
+okay يعني ال simplex method هي اسم ال solution أو
+
+19
+00:01:27,900 --> 00:01:31,260
+اسم ال algorithm اللي بتعالج أنهي algorithm أنهي
+
+20
+00:01:31,260 --> 00:01:34,240
+problem ال linear programming problem linear
+
+21
+00:01:34,240 --> 00:01:34,840
+programming
+
+22
+00:01:42,920 --> 00:01:49,300
+Linear Programming Problem كانت
+
+23
+00:01:49,300 --> 00:01:55,840
+وردت في Chapter 6 خلّيني أذكركم فيها، احنا
+
+24
+00:01:55,840 --> 00:02:00,300
+ماوقفناش عندها بس كانت في Chapter 6 Chapter 6 اللي
+
+25
+00:02:00,300 --> 00:02:07,720
+هو بتناول ال
+
+26
+00:02:07,720 --> 00:02:09,760
+transformations
+
+27
+00:02:11,420 --> 00:02:14,660
+أه شبكة 6 بتناول اللي هو ال transformations لإن
+
+28
+00:02:14,660 --> 00:02:18,680
+احنا بنحول ال problem أو بنحول ال data عشان نتعامل
+
+29
+00:02:18,680 --> 00:02:24,440
+معاها فكان في section .. section 6 6 انا هذه ال
+
+30
+00:02:24,440 --> 00:02:28,620
+slides فصلت لحالها يعني ال file ده بس ل section 6
+
+31
+00:02:28,620 --> 00:02:32,600
+6 بتناول problem reduction problem reduction احنا
+
+32
+00:02:32,600 --> 00:02:37,320
+وقفنا عندها وقفة سريعة ما .. ماوقفناش كتير بس
+
+33
+00:02:37,320 --> 00:02:41,320
+بتذكركن كان في ..اللي هو ال least common multiple
+
+34
+00:02:41,320 --> 00:02:47,160
+problem وكيف احنا اتعاملنا معاها او في الكتابة
+
+35
+00:02:47,160 --> 00:02:50,920
+اتعاملنا معاها لإنه هي تحويل بدل ال LCM بنحسب ال
+
+36
+00:02:50,920 --> 00:02:56,500
+GCD و بنجسم حصل ضرب ال M في ال N على ال GCD بيطلع
+
+37
+00:02:56,500 --> 00:03:00,360
+معايا ال LCM فكان عياش عبارة عن problemReduction
+
+38
+00:03:00,360 --> 00:03:03,840
+أو Problem Transformation المسألة التانية برضه
+
+39
+00:03:03,840 --> 00:03:06,280
+وجفنا عندها على السريع اللي هي Counting Paths in a
+
+40
+00:03:06,280 --> 00:03:09,520
+Graph قولنا لو أنا اندي Graph و بدي اعرف عدد
+
+41
+00:03:09,520 --> 00:03:13,260
+المسارات اللي طولها one او عدد المسارات اللي طولها
+
+42
+00:03:13,260 --> 00:03:16,740
+two two hops او two jumps او two links او العدد
+
+43
+00:03:16,740 --> 00:03:19,920
+اللي طولها تلاتة او اربعة بروح باخد ال adjacency
+
+44
+00:03:19,920 --> 00:03:27,760
+matrixو بضربها في نفس الشاشة two يعني برفعها ل
+
+45
+00:03:27,760 --> 00:03:30,980
+power two بيطلع اني عدد المسارات اللي طولها two
+
+46
+00:03:30,980 --> 00:03:36,880
+هنا من a ل a في تلت مسارات طولها two من a ل .. من
+
+47
+00:03:36,880 --> 00:03:41,840
+b ل .. من b ل c في واحد مسار ماشي فالمصفوفة هذه
+
+48
+00:03:41,840 --> 00:03:47,330
+بتعطينيعدد المسارات اللي طولها كذا طولها هو ال
+
+49
+00:03:47,330 --> 00:03:50,910
+power هنا ال adjacency matrix نفسها عدد المسارات
+
+50
+00:03:50,910 --> 00:03:55,250
+اللي طولها one اللي هي يعني link واحدة صح؟ في link
+
+51
+00:03:55,250 --> 00:04:00,600
+واحد ما بين a و bالمهم فهذا بذكركم فيه وفيه بعد هي
+
+52
+00:04:00,600 --> 00:04:03,500
+كذا برضه reduction of optimization problems
+
+53
+00:04:03,500 --> 00:04:06,040
+optimization problems لما نقول انه انا لما يكون في
+
+54
+00:04:06,040 --> 00:04:10,740
+عندى maximization problem وانا مش عارف احلها ك
+
+55
+00:04:10,740 --> 00:04:13,740
+maximization ممكن احولها ل minimization احلها ك
+
+56
+00:04:13,740 --> 00:04:18,640
+minimization احلها ك minimization واطلعها ال
+
+57
+00:04:18,640 --> 00:04:23,990
+minimum pointو بعد ذلك أقلب النتيج بيطلع عندي الحل
+
+58
+00:04:23,990 --> 00:04:26,430
+تبقى ال maximization لإنه ال maximization هو
+
+59
+00:04:26,430 --> 00:04:30,890
+reflection للمنميزيشن والعكس صحيح okay فكان هنا كل
+
+60
+00:04:30,890 --> 00:04:35,990
+ما دول أمثلة على problem transforming ال problem
+
+61
+00:04:35,990 --> 00:04:39,910
+into another problem صح؟ أخر إشي كان هنا وماوقفناش
+
+62
+00:04:39,910 --> 00:04:43,590
+عنده كان الموضوع ال linear programming ماوقفناش
+
+63
+00:04:43,590 --> 00:04:48,860
+عنده فإحنا الآن بينا نطلع عليهناخد فكرة عنه من هنا
+
+64
+00:04:48,860 --> 00:04:52,420
+من ستة وبعدين نكملها رجعتين على عشر نكمل عشان نشوف
+
+65
+00:04:52,420 --> 00:04:56,000
+ليش ال simplex method هذي تمام ال linear
+
+66
+00:04:56,000 --> 00:04:58,560
+programming هي مسألة optimization تمام
+
+67
+00:04:58,560 --> 00:05:03,700
+optimization بمعنى ان انا فيها اندي معادلة او
+
+68
+00:05:03,700 --> 00:05:10,020
+formula تتكون من عدة متغيرات وبدى احلها بمعنى ايش
+
+69
+00:05:10,020 --> 00:05:14,040
+اوجد قيم المتغيرات اللي عندها بيتحقق ا maximum
+
+70
+00:05:14,040 --> 00:05:18,580
+value او minimum valueهنحصل كلام احنا الان على ال
+
+71
+00:05:18,580 --> 00:05:21,700
+maximization يعني ال optimization اللي هنتعامل
+
+72
+00:05:21,700 --> 00:05:25,420
+معاه هو بس maximization فانا بكون في انه حاجة
+
+73
+00:05:25,420 --> 00:05:30,060
+اسمها ال objective function okay objective
+
+74
+00:05:30,060 --> 00:05:33,080
+function ال objective function ها دي يبقى في عندي
+
+75
+00:05:33,080 --> 00:05:36,880
+عدة متغيرات X1 X2
+
+76
+00:05:38,810 --> 00:05:46,490
+X3 لغاية Xn كل متغير له coefficient C1 ل X1 C2 ل
+
+77
+00:05:46,490 --> 00:05:52,010
+X2 صح المطلوب
+
+78
+00:05:52,010 --> 00:05:57,050
+هذا ال formula اللي يحاصل جمع كل المتغيرات كل
+
+79
+00:05:57,050 --> 00:06:00,710
+المتغيرات هذه اللي هي ال objective function اسمها
+
+80
+00:06:00,710 --> 00:06:04,230
+objective function
+
+81
+00:06:09,240 --> 00:06:11,840
+المطلوب هو to maximise هذا الـ function مايعني
+
+82
+00:06:11,840 --> 00:06:18,260
+maximise هذا الـ function؟ يعني أوجد قيمة X1 و X2
+
+83
+00:06:18,260 --> 00:06:21,120
+و X3 و X4 و X5 و X6 و X7 و X8 و X9 و X10 و X11 و
+
+84
+00:06:21,120 --> 00:06:25,320
+X12 و X12 و X11 و X12 و X11 و X11 و X11 و X11 و
+
+85
+00:06:25,320 --> 00:06:25,320
+X11 و X11 و X11 و X11 و X11 و X11 و X11 و X11 و
+
+86
+00:06:25,320 --> 00:06:25,840
+X11 و X11 و X11 و X11 و X11 و X11 و X11 و X11 و
+
+87
+00:06:25,840 --> 00:06:25,840
+X11 و X11 و X11 و X11 و X11 و X11 و X11 و X11 و
+
+88
+00:06:25,840 --> 00:06:25,840
+X11 و X11 و X11 و X11 و X11 و X11 و X11 و X11 و
+
+89
+00:06:25,840 --> 00:06:27,720
+X11 و X11 و X11 و X11 و X11 و X11 و X11 و X11 و
+
+90
+00:06:27,720 --> 00:06:35,820
+X11 و X11 و X11 و X11 و X11
+
+91
+00:06:35,820 --> 00:06:35,900
+و X11
+
+92
+00:06:41,810 --> 00:06:49,070
+و في عندنا constraints ال
+
+93
+00:06:49,070 --> 00:06:53,110
+constraints هذه برضه عبارة عن functions تيجي بصورة
+
+94
+00:06:53,110 --> 00:06:58,890
+انه x مثلا زاد .. x .. x1 زاد x2 أقل من كده أو
+
+95
+00:06:58,890 --> 00:07:02,430
+أكبر من كده أو يساوي كده okay خلينا نطلع على
+
+96
+00:07:02,430 --> 00:07:10,060
+exampleExample هذا برضه من chapter 6 انه نفترض ان
+
+97
+00:07:10,060 --> 00:07:13,380
+معانا 100 مليون دولار 100 مليون دولار دولار
+
+98
+00:07:13,380 --> 00:07:19,880
+بنستثمرهم و معانا تلات خيارات أسهم سندات ديان
+
+99
+00:07:19,880 --> 00:07:27,960
+حكومية أو نودع في بنك و ناخد interest ماشي فالان
+
+100
+00:07:27,960 --> 00:07:32,340
+ال 100 دولار دولار بتتوزع على التلاتتلت مثالك هذه
+
+101
+00:07:32,340 --> 00:07:41,240
+بقيم مختلفة فال stocks نرمزلها ب X و ال bonds
+
+102
+00:07:41,240 --> 00:07:47,940
+نرمزلها ب Y و ال cash يعني نرمزلها ب Z
+
+103
+00:07:53,340 --> 00:07:58,980
+أنا الآن معلوم إنه طبعا X و Y و Z كله مع بعضه X
+
+104
+00:07:58,980 --> 00:08:05,500
+زائد Y زائد Z بساوي 100 مليون معلوم أيضا إنه لو
+
+105
+00:08:05,500 --> 00:08:11,600
+أنا استثمرت في الأسهم الأسهم بتحقق مربح بنسبة 10%
+
+106
+00:08:11,600 --> 00:08:15,020
+ال
+
+107
+00:08:15,020 --> 00:08:20,460
+bonds بتحقق مربح بنسبة 7% ال cash بيحقق مربح بنسبة
+
+108
+00:08:20,460 --> 00:08:25,410
+3% ال وديعة في ال bank بتاخد 3%تمام؟ يبقى أنا الآن
+
+109
+00:08:25,410 --> 00:08:32,310
+بأقدر أصيغ ال problem تبعي كالتالي إنه المربح
+
+110
+00:08:32,310 --> 00:08:37,410
+الإجمالي من ال stocks و ال bonds و ال cash مع بعض
+
+111
+00:08:37,410 --> 00:08:51,800
+هيكون 10% من X زائد 7% من Y زائد 3% من Zأنا لو
+
+112
+00:08:51,800 --> 00:08:59,760
+حطيت مبلغ كذا في ال stock هيجيني 10% منه مربح لو
+
+113
+00:08:59,760 --> 00:09:04,800
+حطيت مبلغ كذا في ال bonds هيجيني 7% فهذه ال 7% من
+
+114
+00:09:04,800 --> 00:09:10,360
+Y هي المربح اللي أخده من ال bonds 10% من X هي
+
+115
+00:09:10,360 --> 00:09:14,160
+المربح اللي أخده من ال stocks وهذه فانا بدي أعظم
+
+116
+00:09:14,160 --> 00:09:19,260
+هذا المربح بدي maximize الإجمال هذا كله maximize
+
+117
+00:09:20,300 --> 00:09:25,440
+الـ Total Profit أو الـ Total مربح اللي هحصله
+
+118
+00:09:25,440 --> 00:09:31,580
+minute منهم فهذه هي ال objective function أصبحت
+
+119
+00:09:31,580 --> 00:09:37,880
+ولا لأ؟ فبعرفيش ال constraints طبعا لازم كلها تبقى
+
+120
+00:09:37,880 --> 00:09:40,940
+موجبة ال X و ال Y و ال Z تبقى موجبة لأنه مش هحط
+
+121
+00:09:40,940 --> 00:09:46,200
+سالب مبلغ و سالب كمان ولا لأ؟هذا ما المفروض منه،
+
+122
+00:09:46,200 --> 00:09:49,680
+بس فيه أهم من ذلك و هو أنه اللي أعطاني المبلغ هذا،
+
+123
+00:09:49,680 --> 00:09:53,000
+يعني مثلا هنا بتقول أنت هذا يجيلك منح، أقول مثلا
+
+124
+00:09:53,000 --> 00:09:56,240
+جامعة عندنا و أجي واحد كريم و بده ينقذ الجامعة من
+
+125
+00:09:56,240 --> 00:09:59,320
+أزمتها فجال هاي معاكم ميت مليون و هدولة بس
+
+126
+00:09:59,320 --> 00:10:03,580
+تردوليهم معاكم لمدة عشر سنوات، تستفيدوا من مربحهم
+
+127
+00:10:03,580 --> 00:10:09,250
+و بعدين تردوليهم بعد عشر سنوات، okay؟و .. و
+
+128
+00:10:09,250 --> 00:10:12,370
+تستفيدوا من مربحهم في الخيارات التلاتة هذه بس هو
+
+129
+00:10:12,370 --> 00:10:21,130
+بيشترط أيضا كمان شروط بيقول لي انه ال .. او بلاش
+
+130
+00:10:21,130 --> 00:10:24,830
+هو اللي بيشترط الناس اللي أخدت المبلغ هذا يعني حطت
+
+131
+00:10:24,830 --> 00:10:31,050
+شروط على أساس انك محصلش في خسارة ايش جال؟ جال انه
+
+132
+00:10:31,050 --> 00:10:35,070
+.. انه
+
+133
+00:10:35,070 --> 00:10:42,120
+ال stocksto be no more than one third of the bonds
+
+134
+00:11:00,030 --> 00:11:06,230
+على الأقل الربع 25% من إجمالي ال stocks و ال bonds
+
+135
+00:11:06,230 --> 00:11:10,530
+المبلغ اللي بده ينحط في ال stocks و ال bonds ربع
+
+136
+00:11:10,530 --> 00:11:16,130
+هذا ال total ينحط في ال cash
+
+137
+00:11:16,130 --> 00:11:25,170
+ال cash اللي هو زد زد على الأقل الربع يعني زد تبقى
+
+138
+00:11:25,170 --> 00:11:34,340
+أكبر منها وتساوي الربع 25% يعنيمين؟ الـ X والـ Z
+
+139
+00:11:34,340 --> 00:11:41,500
+والـ Y مجتمعين، تمام؟ هذا
+
+140
+00:11:41,500 --> 00:11:44,200
+الـ objective function و هذا الـ constraints، فيه
+
+141
+00:11:44,200 --> 00:11:47,980
+غير مفشي خلاص،
+
+142
+00:11:47,980 --> 00:11:51,980
+okay؟ تمام؟ okay
+
+143
+00:11:55,260 --> 00:11:59,040
+فهذا مثال على Linear Programming Problem هي عبارة
+
+144
+00:11:59,040 --> 00:12:04,040
+عن مسألة Investment وما إلى ذلك واستثمار بس صيغت
+
+145
+00:12:04,040 --> 00:12:08,400
+على شكل EI ان في عندي objective function ومجموعة
+
+146
+00:12:08,400 --> 00:12:12,480
+من ال constraints بدي أحقق maximum value لل
+
+147
+00:12:12,480 --> 00:12:17,420
+objective function في ظل ال constraints لو ال
+
+148
+00:12:17,420 --> 00:12:20,220
+constraints هذه مش موجودة أنا ممكن أجي أطلع و أقول
+
+149
+00:12:20,220 --> 00:12:24,790
+طب أحط كل المبلغ في ال EIفي الـ X و احصل على 10%
+
+150
+00:12:24,790 --> 00:12:29,790
+الـ 100 مليون و احصل على 10 مليون أي اشي تاني
+
+151
+00:12:29,790 --> 00:12:32,550
+هيعطينا أجال يعني لو حاطيت فيها دلوقتي .. لو حاطيت
+
+152
+00:12:32,550 --> 00:12:35,570
+.. لو حاطيت فيها دول التانية المجتمعين هحصل على
+
+153
+00:12:35,570 --> 00:12:39,830
+اللي بحصله من هنا فممكن احطه على كله على هنا بس
+
+154
+00:12:39,830 --> 00:12:43,790
+انا لأ بقدرش احطها لأن فيها قيود قيود اللي بيقولي
+
+155
+00:12:43,790 --> 00:12:48,010
+لازم ال X لازم ال Z يبقى اكبر من ربع ال X و ال Y
+
+156
+00:12:48,010 --> 00:12:52,220
+فانا بقدرش احط صفر في ال Zواضح؟ يكون الـ sense
+
+157
+00:12:52,220 --> 00:12:56,580
+بتحكم في مثال آخر، مثال آخر، بداش تطلع عليه،
+
+158
+00:12:56,580 --> 00:12:59,760
+المثال الآخر هو إنه الـ Knapsack Problem إذا
+
+159
+00:12:59,760 --> 00:13:03,500
+بتذكروا الـ Knapsack Problem ممكن تصاغ بالصيغة هذه
+
+160
+00:13:03,500 --> 00:13:05,160
+إنه objective function شو هي ال objective
+
+161
+00:13:05,160 --> 00:13:09,280
+function؟ إن ال total، القيمة، ال value الإجمالي
+
+162
+00:13:09,280 --> 00:13:13,920
+لكل ال items يبقى maximumو ايش ال constraints ان
+
+163
+00:13:13,920 --> 00:13:22,120
+ال total وزن مايزيدش عن طاقة قصوة للحقيبة فانت
+
+164
+00:13:22,120 --> 00:13:25,320
+ممكن تصيغي نفسك problem على شكل linear programming
+
+165
+00:13:25,320 --> 00:13:30,460
+problem واضح؟ و تحليها بطريقة ال simplex method بس
+
+166
+00:13:30,460 --> 00:13:35,740
+المهم انه احنا هنا هدفناإنه نفهم صياغة المسائل
+
+167
+00:13:35,740 --> 00:13:40,060
+اللي يتصلح لإننا نحلها ك linear programming واضح؟
+
+168
+00:13:40,060 --> 00:13:44,360
+فهي هنا .. هي هنا معطيكي خلاصة ال .. ال .. ال
+
+169
+00:13:44,360 --> 00:13:49,200
+example هذا we want to maximize هذا الكلام في ظل
+
+170
+00:13:49,200 --> 00:13:53,400
+هذا الكلام في ظل أنه طبعا هذا .. هذا بتيجي
+
+171
+00:13:53,400 --> 00:13:57,030
+constraintإن المجموعة إجمالي كلها مايزيدش عن 100
+
+172
+00:13:57,030 --> 00:14:01,030
+يعني ماعناش غير ال 100 مليون و ال X تلت ال Y و ال
+
+173
+00:14:01,030 --> 00:14:04,290
+Z ربع ال X زائد ال Y و هدولة انهم يبقوا كلهم
+
+174
+00:14:04,290 --> 00:14:08,770
+موجبين هذا X و ال Y و ال Z أكبر من أو تساوي Zero
+
+175
+00:14:08,770 --> 00:14:11,490
+يعني كلهم موجبين واضح؟ okay خلاص الآن احنا بدنا
+
+176
+00:14:11,490 --> 00:14:16,880
+ننتقل على مثلا وضحت الصورة بدنا ننتقل على إيش؟ال
+
+177
+00:14:16,880 --> 00:14:20,340
+.. ال .. ال example في chapter عشرة .. عشرة واحد
+
+178
+00:14:20,340 --> 00:14:23,820
+اللي هو ال simplex method برضه كمان في عندي انا
+
+179
+00:14:23,820 --> 00:14:28,260
+تكرار لل .. للكلام هذا اللي هو ايش يعني صيغة ال ..
+
+180
+00:14:28,260 --> 00:14:31,420
+ال problem اني بجوا في عنديObjective Function
+
+181
+00:14:31,420 --> 00:14:35,560
+ومجموعة من الـ Constraints الصيغة هي دي ان انا في
+
+182
+00:14:35,560 --> 00:14:39,020
+عندي هنا بي اي هد ال بي اللي هي ال right hand side
+
+183
+00:14:39,020 --> 00:14:42,680
+تبع ال constraint ففي عندي بي اي يعني في
+
+184
+00:14:42,680 --> 00:14:46,040
+constraint اي، constraint اي اتنين، اتلاتة، اه
+
+185
+00:14:46,040 --> 00:14:51,640
+لعند M فعندي M number of constraints okay M number
+
+186
+00:14:51,640 --> 00:14:55,480
+of constraints او constraint functions يعني صح؟
+
+187
+00:14:56,360 --> 00:15:02,160
+وعندي n number of what variables صح okay هنا كان
+
+188
+00:15:02,160 --> 00:15:08,160
+ال n تسوى تلاتة و M اذا بتذكروا تلاتة ايضا كانت
+
+189
+00:15:08,160 --> 00:15:15,380
+المجموع يسوى مية انه ال X تسوى تلت ال Y او اقل و
+
+190
+00:15:15,380 --> 00:15:20,860
+التالت اللي هو انه ربع ال X زي Y صح كان M تسوى
+
+191
+00:15:20,860 --> 00:15:22,640
+تلاتة هدولة
+
+192
+00:15:24,790 --> 00:15:29,050
+بنعتبرهم consensus مسلمة لأنه لازم ال linear
+
+193
+00:15:29,050 --> 00:15:32,870
+programming يشطرط ان كل المتغيرات تبقى non
+
+194
+00:15:32,870 --> 00:15:35,410
+-negative ليش اقول موجة بل اقول non-negative يعني
+
+195
+00:15:35,410 --> 00:15:40,570
+zero او اكتر فهذا مسلم وهذا مش داخل في العدد M
+
+196
+00:15:40,570 --> 00:15:43,250
+هدولة مش داخلين ال consensus مش داخلين في العدد M
+
+197
+00:15:43,970 --> 00:15:50,070
+طبعا هذه مثالة مثال أبسط من المثال الأولاني ال
+
+198
+00:15:50,070 --> 00:15:54,170
+objective function تبتة x زائد خمسة y و بدي
+
+199
+00:15:54,170 --> 00:16:00,190
+maximize هذا ال function في ظل الشروط هذه ان x
+
+200
+00:16:00,190 --> 00:16:03,810
+زائد y أقل من أو تساوي أربعة مجموحهم يعني الاتنين
+
+201
+00:16:03,810 --> 00:16:07,890
+x أقل من أو تساوي أربعة x زائد تلت أضعف ال y يكون
+
+202
+00:16:07,890 --> 00:16:12,870
+أقل من أو تساوي ستةالان في هنا إشكالية صغيرة
+
+203
+00:16:12,870 --> 00:16:16,190
+الإشكالية الصغيرة هي انه عشان اطبق ال simplex
+
+204
+00:16:16,190 --> 00:16:20,750
+method يجب انه هدول يبقوا مش inequalities يبقوا
+
+205
+00:16:20,750 --> 00:16:27,550
+equalities يعني هذه و هذه و هذه تبقى يساوي و هذا
+
+206
+00:16:27,550 --> 00:16:33,490
+بسيطة القضية بسيطة انا ممكن احول x زائد y اقل من 4
+
+207
+00:16:33,490 --> 00:16:37,810
+احولها ل equality كيف باستحدث variable
+
+208
+00:16:40,470 --> 00:16:49,110
+Temporary باجي بقول X زائد Y زائد U يساوي 4 والـ U
+
+209
+00:16:49,110 --> 00:16:53,390
+هذا برضه كمان موجب يعني non negative اتحالت على
+
+210
+00:16:53,390 --> 00:16:56,250
+القضية هذه كيف انه الان الـ U هذا بما انه non
+
+211
+00:16:56,250 --> 00:17:00,570
+negative يعني ال value تبعه هيتروح من 0 إلى جد ما
+
+212
+00:17:00,570 --> 00:17:06,340
+بده يطلع يطلعأنا عندي هنا الـ equality بتحكم أن
+
+213
+00:17:06,340 --> 00:17:09,620
+هذا الطرف لازم يساوي أربعة هذا الطرف كله لازم
+
+214
+00:17:09,620 --> 00:17:13,220
+يساوي أربعة طيب اليوم لما تبقى ال zero و بتكبر هذا
+
+215
+00:17:13,220 --> 00:17:20,560
+لازم يصغر علشان تبقى ال total أربعة حكمت هذا أنه
+
+216
+00:17:20,560 --> 00:17:25,640
+بما أنه لازم يصغر حكمت أنه لازم يكون على الدوام
+
+217
+00:17:25,640 --> 00:17:30,340
+أقل من أربعة وهذا هو المطلوب في النهاية أنه ال
+
+218
+00:17:30,340 --> 00:17:35,990
+total هذاالـ total يكون أقل من أربعة كذلك الحال
+
+219
+00:17:35,990 --> 00:17:40,510
+بقدر أعمل للتانية بقدر أعمل بس عاد مش هعمل U هو هو
+
+220
+00:17:40,510 --> 00:17:44,430
+نفس المتغير بدي أجيب متغير آخر بسميه V بصير عندي X
+
+221
+00:17:44,430 --> 00:17:51,710
+زائد تلاتة Y زائد V بساوي ستة نفس الأشياء الـ V
+
+222
+00:17:51,710 --> 00:17:56,510
+هذا بدي أكون non-negative من Zero لفصاعدا وبالتالي
+
+223
+00:17:56,510 --> 00:18:00,840
+لما هو بيكبرلازم هدول يصغروا عشان يظل المجموع ستة
+
+224
+00:18:00,840 --> 00:18:04,420
+فهدول خلاص حكمت عليهم ان هم يكون اقل من ستة اقل او
+
+225
+00:18:04,420 --> 00:18:07,860
+يساوي طبعا لما يكون و Zero لما يكون ال V بيساوي
+
+226
+00:18:07,860 --> 00:18:13,360
+Zero تمام نفس الكلام بقدر اسوي لو كان عندي هدول ال
+
+227
+00:18:13,360 --> 00:18:17,440
+inequalities greater than مش less than و لا لأ
+
+228
+00:18:17,440 --> 00:18:21,440
+يعني لو كانت اصلا الشرط X زائد Y greater than or
+
+229
+00:18:21,440 --> 00:18:27,400
+equal 4 بروح بس ايش بعمل ناقص U و لا لأ X زائد U
+
+230
+00:18:29,900 --> 00:18:33,440
+خلّيني أبسطها، إن بس مجرد إيش ال X أكبر من أو
+
+231
+00:18:33,440 --> 00:18:38,460
+تساوي أربعة، صح؟ بقول X ماقص U يساوي أربعة، الآن
+
+232
+00:18:38,460 --> 00:18:42,380
+أنا ال U برضه هيكون موجب، لما بكبر ال U لازم ال X
+
+233
+00:18:42,380 --> 00:18:47,000
+تكبر عشان الفرق ما بينهم يثبت على أربعة، يبقى أنا
+
+234
+00:18:47,000 --> 00:18:51,440
+أفرضت على أو خلّيت ال U دايما تبقى أربعة، دايما
+
+235
+00:18:51,440 --> 00:18:55,090
+أربعة فما فوق يعني، أكبر من أربعةبهذه الطريقة
+
+236
+00:18:55,090 --> 00:18:59,430
+نستطيع ببساطة انعالج قضية الـ inequality و نحولها
+
+237
+00:18:59,430 --> 00:19:03,250
+ل equality حولها ل equality تمام؟ لما تتحول ل
+
+238
+00:19:03,250 --> 00:19:06,510
+equality خلاص بصير عندي انا بقدر اتعامل معاها بال
+
+239
+00:19:06,510 --> 00:19:11,390
+simplex method ايه الآن؟ بنعرف طالع على ال simplex
+
+240
+00:19:11,390 --> 00:19:18,750
+method ال simplex method بتعتمد على ال geometric
+
+241
+00:19:18,750 --> 00:19:21,030
+representation للproblem شو يعني ال geometric
+
+242
+00:19:21,030 --> 00:19:26,310
+representation؟ هدول الآنهدول الآن لما انا بعد هيك
+
+243
+00:19:26,310 --> 00:19:28,130
+برضه ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+244
+00:19:28,130 --> 00:19:28,430
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+245
+00:19:28,430 --> 00:19:29,870
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+246
+00:19:29,870 --> 00:19:30,850
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+247
+00:19:30,850 --> 00:19:32,210
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+248
+00:19:32,210 --> 00:19:35,590
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+249
+00:19:35,590 --> 00:19:35,610
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+250
+00:19:35,610 --> 00:19:41,130
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+251
+00:19:41,130 --> 00:19:51,370
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+252
+00:19:51,370 --> 00:19:57,020
+ا ا ا ا االخط هذا على صفحة من صفحة تابعونه سيكون
+
+253
+00:19:57,020 --> 00:20:00,880
+القيم أكبر من أربعة وعلى ناحية التانية أقل من
+
+254
+00:20:00,880 --> 00:20:10,200
+أربعة يعني هكذا مثلا، هذا الـ line هو خط X زي 3 هو
+
+255
+00:20:10,200 --> 00:20:17,740
+Y سواء 6كل النقاط اللي واقع على الخط فيما هيك أقل
+
+256
+00:20:17,740 --> 00:20:22,020
+من يحققوا ال constraints ال constraint اللي هو
+
+257
+00:20:22,020 --> 00:20:25,180
+less than or equal النقاط اللي برا الخط على ناحية
+
+258
+00:20:25,180 --> 00:20:30,000
+هذه هم اللي are greater than و نفس الشيء الخط
+
+259
+00:20:30,000 --> 00:20:33,440
+التاني هذا X زائد Y بساوية أربعة كل النقاط اللي
+
+260
+00:20:33,440 --> 00:20:40,140
+عليه و جاي لهيك بتحقق ال constraint اللي هي less
+
+261
+00:20:40,140 --> 00:20:46,640
+than or equalتمام الخط هذا اللي هو ال Y ال X Axis
+
+262
+00:20:46,640 --> 00:20:54,080
+ال X Axis ال X Axis كل النقاط اللي عليه X أكبر من
+
+263
+00:20:54,080 --> 00:21:03,300
+0 تمام فهو هو هو X less than .. X greater than or
+
+264
+00:21:03,300 --> 00:21:03,620
+equal
+
+265
+00:21:06,490 --> 00:21:10,570
+هذه النقطة التي تسمى less وهذه التي تسمى equal
+
+266
+00:21:10,570 --> 00:21:16,070
+وهذه التي تسمى أكبر منها أنا
+
+267
+00:21:16,070 --> 00:21:22,130
+أسف، هذه هي الـY اليمين
+
+268
+00:21:22,130 --> 00:21:26,630
+و الشمال هم الـX والأعلى و الأسفة هم الـY أنا ماني
+
+269
+00:21:26,630 --> 00:21:32,410
+بمن؟ بالذي أكبر من الـX أو أكبر من الـY يبقى الآن
+
+270
+00:21:32,410 --> 00:21:40,290
+ال region هذهال region هذه بتحصر ال اياش النقاط
+
+271
+00:21:40,290 --> 00:21:46,070
+اللي مرشح هنا تكون solutions ولا لأ مرشح هنا تكون
+
+272
+00:21:46,070 --> 00:21:50,170
+solution انا ال solution اللي بدور عليه هو واحد من
+
+273
+00:21:50,170 --> 00:21:56,750
+هدولة يحقق ليه maximum اياش وين كانت؟ ما كتبناش
+
+274
+00:21:56,750 --> 00:22:00,330
+احنا اللي هي ايش كانت؟
+
+275
+00:22:03,020 --> 00:22:12,340
+اللي هي تلاتة X زائد خمسة Y بدور
+
+276
+00:22:12,340 --> 00:22:16,880
+أنا على نقطة تحقيقلي ال maximum value لهذا الكلام
+
+277
+00:22:16,880 --> 00:22:23,340
+هتكون النقطة جوا ال region هذه okay هذه ال region
+
+278
+00:22:23,340 --> 00:22:27,820
+اسمها feasible region يعني منطقة ال solutions
+
+279
+00:22:27,820 --> 00:22:31,100
+المرشحة ال solution المرشح للواحد هو feasible
+
+280
+00:22:31,100 --> 00:22:34,840
+solutionOkay ال objective function احنا عارفينها
+
+281
+00:22:34,840 --> 00:22:39,860
+ال optimal solution هو قيمة ال objective function
+
+282
+00:22:39,860 --> 00:22:46,300
+هو هو النقطة بداخل ال region اللي بتحقق أعلى قيمة
+
+283
+00:22:46,300 --> 00:22:51,380
+لل objective function كويس كتير كويس كتير طيب احنا
+
+284
+00:22:51,380 --> 00:22:56,800
+الآن بالنظر هيكا و بطريقة بقدر
+
+285
+00:22:56,800 --> 00:22:59,200
+اقول انه ال solution
+
+286
+00:23:03,190 --> 00:23:07,490
+ممكن يكون واحد من هدولة هو صح ممكن يكون واحد من
+
+287
+00:23:07,490 --> 00:23:12,810
+هدولة بالظبط الآن يفترض ال .. ال .. ال optimal
+
+288
+00:23:12,810 --> 00:23:16,390
+هيكون عمليا واحد من .. ال optimal هيكون واحد من
+
+289
+00:23:16,390 --> 00:23:21,090
+هدولة هدولة النقاط بيسموهم ال extreme points
+
+290
+00:23:21,090 --> 00:23:27,450
+extreme يعني على أطراف الحدود okay و هم أبعد ما
+
+291
+00:23:27,450 --> 00:23:32,900
+يكون يعني في الحدودفيه theorem اللي هي extreme
+
+292
+00:23:32,900 --> 00:23:41,160
+point theorem ايش بتقول بتقول انه
+
+293
+00:23:41,160 --> 00:23:46,860
+any linear programming problem with a non-empty
+
+294
+00:23:46,860 --> 00:23:50,460
+bounded feasible region non-empty ال region هذه
+
+295
+00:23:50,460 --> 00:23:57,230
+ممكن تبقى empty بمعنى تبقى صغيرةمايبقاش فيها
+
+296
+00:23:57,230 --> 00:24:02,670
+solution او تبقى unbounded بمعنى ايش في منطقة منها
+
+297
+00:24:02,670 --> 00:24:07,850
+مافيش شي يعني زي هيك هذي unbounded هذه ال region
+
+298
+00:24:07,850 --> 00:24:12,630
+بيقولي الخط فما فوق و الخط هذا فما فوق يعني حول
+
+299
+00:24:12,630 --> 00:24:18,150
+less than إلى greater than تمام؟ و هيك و هيك
+
+300
+00:24:18,150 --> 00:24:23,370
+فانفتحت ال region صارت unbounded ال unbounded ده
+
+301
+00:24:23,370 --> 00:24:27,580
+مانقدرش نجيلها solutionلازم تبقى bounded و لازم
+
+302
+00:24:27,580 --> 00:24:32,720
+تبقى مش empty فال theorem بتقول انه any linear
+
+303
+00:24:32,720 --> 00:24:35,380
+programming problem with a non-empty bounded
+
+304
+00:24:35,380 --> 00:24:41,080
+feasible region has an optimal solution لحل ثانيا
+
+305
+00:24:41,080 --> 00:24:45,980
+an optimal solution can always be found at ال
+
+306
+00:24:45,980 --> 00:24:51,180
+extreme points هنلاجيه في ال extreme points of the
+
+307
+00:24:51,180 --> 00:24:55,320
+problem's feasible regionوالله ما زال الحكاية زي
+
+308
+00:24:55,320 --> 00:25:02,400
+هيك يبقى على طول في طريقة مباشرة لحل ال linear
+
+309
+00:25:02,400 --> 00:25:06,480
+programming problem هذه بأمسك ال extreme points
+
+310
+00:25:06,480 --> 00:25:10,860
+واحدة ورا التانية وبأفحص قيمة ال objective
+
+311
+00:25:10,860 --> 00:25:14,420
+function عند كل واحدة منهم باخده ال maximum ولا لا
+
+312
+00:25:14,420 --> 00:25:21,940
+هذا brute force approach لتعامل مع اللي هو ال
+
+313
+00:25:21,940 --> 00:25:25,840
+linear programming problemبناء على الـTheorem هذه
+
+314
+00:25:25,840 --> 00:25:28,880
+الـTheorem هذه أنا مستند إليها مش جايب من دماغي
+
+315
+00:25:28,880 --> 00:25:32,060
+لأن الـTheorem بتقول لي أنه solution كبير وحيكون
+
+316
+00:25:32,060 --> 00:25:36,100
+واحد من اللي ده حيكون عند واحد من ال extreme
+
+317
+00:25:36,100 --> 00:25:41,340
+points وخلاص بمسك ال extreme points وبعوض
+
+318
+00:25:41,340 --> 00:25:45,700
+على طول في المعادلة وبحسب بطلّق القيمة وبشوف مين
+
+319
+00:25:45,700 --> 00:25:48,400
+ال extreme point اللي بتعطيني أعلى قيمة okay هذا
+
+320
+00:25:48,400 --> 00:25:52,640
+الكلام جميل اللهم يا إلهي لإنه في تلت إشكاليات في
+
+321
+00:25:52,640 --> 00:25:57,520
+مشكلتينOkay فهي زي ما بنقول ال brute force
+
+322
+00:25:57,520 --> 00:25:59,740
+approach to the problem to the linear programming
+
+323
+00:25:59,740 --> 00:26:05,060
+problem تمام انه to compute ال value of the
+
+324
+00:26:05,060 --> 00:26:07,400
+objective function at each extreme point عن كل
+
+325
+00:26:07,400 --> 00:26:11,460
+واحدة منهم okay و select the one with the best
+
+326
+00:26:11,460 --> 00:26:16,580
+value الاشكالي في هذا الكلام انه ان انا ال extreme
+
+327
+00:26:16,580 --> 00:26:20,480
+points ان انا اوجدهم يعني انا هنا بالنظر هيهم
+
+328
+00:26:20,480 --> 00:26:26,350
+بسهولة بطلع عليهم بجيبهملكن في المسائل العملية
+
+329
+00:26:26,350 --> 00:26:28,810
+بيبقى في عندي متغيرات كتيرة بيبقى عندي constraint
+
+330
+00:26:28,810 --> 00:26:34,090
+كتيرة فبصير التحدي هو انه what is ان انا الاجي
+
+331
+00:26:34,090 --> 00:26:38,010
+algorithm اللي طلقلي ال extreme points طبعا ال
+
+332
+00:26:38,010 --> 00:26:42,290
+extreme points هي تقاطعات الخطوط عشان انا اجيب
+
+333
+00:26:42,290 --> 00:26:47,010
+التقاطعات هذه من معادلات الخطوط حد في حد ذاته بده
+
+334
+00:26:48,000 --> 00:26:54,400
+هو يبحث عن طرق مختلفة ومتعددة ويبحث عن أفضل طريقة
+
+335
+00:26:55,640 --> 00:27:00,600
+هذا ليس مش هو المشكلة الوحيدة المشكلة التانية انه
+
+336
+00:27:00,600 --> 00:27:04,160
+هذه النقاط ال extreme points اللي انا انا اندي بس
+
+337
+00:27:04,160 --> 00:27:06,980
+مثلة بسيطة فيها اربع extreme points لكن في المسائل
+
+338
+00:27:06,980 --> 00:27:10,860
+الحقيقية عدد ال extreme points بيتناسب ترضيا مع
+
+339
+00:27:10,860 --> 00:27:14,680
+حجم ال problem حجم ال problem عندنا هنا بيجي فعل
+
+340
+00:27:14,680 --> 00:27:19,200
+حاجتين اللي هم N و M عدد ال variables اللي هو N
+
+341
+00:27:20,040 --> 00:27:23,400
+وعدد الـ constraints اللي هو M زي ما قلنا لما بكتر
+
+342
+00:27:23,400 --> 00:27:26,660
+ال variables أنا هنا بس هنا two variables لكن في
+
+343
+00:27:26,660 --> 00:27:30,120
+المسائل الحقيقية بتمد يمكن عشرات بالمئات ال
+
+344
+00:27:30,120 --> 00:27:34,660
+variables وبالتالي بتمد برضه ال constraints ليش؟
+
+345
+00:27:34,660 --> 00:27:37,840
+لأنه في علاقة ما بين الإتنين على فكرة ماحكيناش إن
+
+346
+00:27:37,840 --> 00:27:44,130
+دايما N تساوي أو أكبر من Mعدد ال variables أكبر من
+
+347
+00:27:44,130 --> 00:27:48,990
+أو يساوي عدد ال constraints فلما بتكتر ال
+
+348
+00:27:48,990 --> 00:27:51,210
+variables و بتكتر ال constraints و بتكتر ال
+
+349
+00:27:51,210 --> 00:27:58,990
+extreme points بصير ان انا اعمل brute force يعني
+
+350
+00:27:58,990 --> 00:28:02,350
+اشوف طريقة كيف ت generate ال extreme points و كيف
+
+351
+00:28:02,350 --> 00:28:07,770
+ت calculate كل ال extreme points كل ال objective
+
+352
+00:28:07,770 --> 00:28:13,010
+function كلهم و اجيب ال maximumبصير .. لأ في أفضل
+
+353
+00:28:13,010 --> 00:28:16,650
+من هيك .. في أفضل من هيك هو اللي هو الـ Simplex
+
+354
+00:28:16,650 --> 00:28:20,550
+method الSimplex method بتعتمد على أنه احنا بنبدأ
+
+355
+00:28:20,550 --> 00:28:24,310
+من واحدة من ال extreme points دولة و بننتقل إلى
+
+356
+00:28:24,310 --> 00:28:32,150
+جارتها مش هم بقدر أجيبهم هي واحدة و هي جارتها و هي
+
+357
+00:28:32,150 --> 00:28:35,510
+جارتها و هي جارتها بقدر ألف عليهم من واحدة ل ال
+
+358
+00:28:35,510 --> 00:28:42,450
+adjacentطالما أن الـ Adjacent بتعطيني solution
+
+359
+00:28:42,450 --> 00:28:46,730
+أفضل، بنتقل للي بعدها، و اللي بعدها طالما أنه فيه
+
+360
+00:28:46,730 --> 00:28:51,010
+تحسن في الـ meanفي الـ objective function لما نيجى
+
+361
+00:28:51,010 --> 00:28:56,110
+في التحسن بجف و باخد ال solution الأخير على أنه هو
+
+362
+00:28:56,110 --> 00:29:01,350
+ال optimal يعني مرة أخرى ال simplest method هي ال
+
+363
+00:29:01,350 --> 00:29:04,370
+basic method for solving LP problems invented by
+
+364
+00:29:04,370 --> 00:29:08,970
+George Danzig ال idea تبعتها based on the
+
+365
+00:29:08,970 --> 00:29:11,790
+iterative improvement هذا الكلام اللي قلته هو
+
+366
+00:29:11,790 --> 00:29:15,070
+iterative improvement بجيب solution و ببحث عن أفضل
+
+367
+00:29:15,070 --> 00:29:18,200
+منه ولا أفضل ولا أفضل إلى أن مالاجيش أفضلOkay
+
+368
+00:29:18,200 --> 00:29:22,680
+optimum بالظبط ف starts at any extreme point and
+
+369
+00:29:22,680 --> 00:29:27,720
+هنا يعني أي حاجة أي حاجة ممكن أبدأ فيها any
+
+370
+00:29:27,720 --> 00:29:30,240
+extreme point of the problems feasible region
+
+371
+00:29:30,240 --> 00:29:34,820
+keeps generating and examining one adjacent point
+
+372
+00:29:34,820 --> 00:29:37,880
+after the other after another one adjacent point
+
+373
+00:29:37,880 --> 00:29:42,680
+after another طالما أنه في improving للليش لل
+
+374
+00:29:42,680 --> 00:29:46,180
+objective function until no further improvement is
+
+375
+00:29:46,180 --> 00:29:52,430
+possible okayبنشوف مثال على ذلك بال simplex method
+
+376
+00:29:52,430 --> 00:29:58,950
+بس في الأول في عندنا ايش اول اشي نتفج على انه ال
+
+377
+00:29:58,950 --> 00:30:02,770
+problem عشان اقدر استخدم ال simplex method لازم
+
+378
+00:30:02,770 --> 00:30:08,430
+تبقى maximization problem قولنا قبل شوية انه في
+
+379
+00:30:08,430 --> 00:30:12,090
+chapter 6 واضح انه انا بقدر اذا هي minimization
+
+380
+00:30:12,090 --> 00:30:21,000
+اقلبها اه و انا اقلب الحلIt must be a maximization
+
+381
+00:30:21,000 --> 00:30:25,140
+problem. All the constraints must be in the form
+
+382
+00:30:25,140 --> 00:30:27,980
+of linear equations with non-negative right-hand
+
+383
+00:30:27,980 --> 00:30:32,860
+side.كل ال constraints equation يعني equalities و
+
+384
+00:30:32,860 --> 00:30:35,980
+non-negative right-hand side يعني ال right-hand
+
+385
+00:30:35,980 --> 00:30:43,780
+side ال B هذا يبقى non-negative zero or more صح؟و
+
+386
+00:30:43,780 --> 00:30:46,940
+يكون all the variables must be required to be برضه
+
+387
+00:30:46,940 --> 00:30:47,480
+non-negative.
+
+388
+00:30:50,780 --> 00:30:56,740
+طبعا قلت أيضا أن N أكبر من أو تساوي Mوهي الصيغة
+
+389
+00:30:56,740 --> 00:30:59,420
+إذا أنا بقدر أصيغ ال problem تبعتي يعني سواء كانت
+
+390
+00:30:59,420 --> 00:31:04,300
+مثلا stocks و bonds وكده و لا مثلا نفسك و لا إيش
+
+391
+00:31:04,300 --> 00:31:07,420
+ما كان بقى إذا قدرت أصيغها على أساس أنها one
+
+392
+00:31:07,420 --> 00:31:11,000
+single objective function عملها maximization
+
+393
+00:31:11,000 --> 00:31:14,960
+ومعاها مجموعة من ال constraints وكل ال constraints
+
+394
+00:31:14,960 --> 00:31:18,260
+جايات equalities وعلى ال right hand side positive
+
+395
+00:31:18,260 --> 00:31:23,400
+واجتها بقدر أتبع الخطوات الثابتة تبع ال simplex
+
+396
+00:31:23,400 --> 00:31:29,210
+methodOkay في شغل أخرى أنه احنا بنقدر نحوّل
+
+397
+00:31:29,210 --> 00:31:34,710
+المعادلات هذه على شكل matrix form بمعنى أنه انا
+
+398
+00:31:34,710 --> 00:31:38,570
+الآن okay
+
+399
+00:31:38,570 --> 00:31:43,270
+هنا في ال slide هذه زي ما قلنا انا كيف حول؟ حول ال
+
+400
+00:31:43,270 --> 00:31:48,190
+inequality إلى equality أضاف ال U و هنا أضاف ال V
+
+401
+00:31:50,080 --> 00:31:54,500
+الان صار في هندي صار هندي اه صح نسينا نقول ان هاد
+
+402
+00:31:54,500 --> 00:31:57,880
+ال variables اللي انضفناهم في ال constraint لازم
+
+403
+00:31:57,880 --> 00:32:01,400
+نضيفهم في ال mean في ال objective function بس
+
+404
+00:32:01,400 --> 00:32:04,880
+هنضيفهم ب coefficient zero يعني انضفناهم و
+
+405
+00:32:04,880 --> 00:32:07,980
+ماضفناهم مش في نفس الوجه صح؟ يعني وجودهم من عدمه
+
+406
+00:32:07,980 --> 00:32:12,280
+واحد صح؟ لما عملنا ال coefficients سبتهم zeros
+
+407
+00:32:12,280 --> 00:32:17,740
+okay الان هذه الصيغة هي ال ال مثل تبعنا تلاتة X
+
+408
+00:32:17,740 --> 00:32:23,260
+زات خمسة Yهذه الصيغة مطابقة للشروط اللي توي
+
+409
+00:32:23,260 --> 00:32:29,960
+حكيناها انه اولا equalities وثانيا موجب ال B تالفا
+
+410
+00:32:29,960 --> 00:32:33,960
+كله اكبر من Zero الان صار في N دي عدد المتغيرات
+
+411
+00:32:33,960 --> 00:32:39,120
+جداش اربعة صار ال X و ال Y و ال U و ال V و ال
+
+412
+00:32:39,120 --> 00:32:43,860
+constraints ضالهم اتنين يعني N الان صارت اربعة و M
+
+413
+00:32:43,860 --> 00:32:51,610
+بسوية اتنينالان انا بقدر ابدأ في ال .. اول حاجة
+
+414
+00:32:51,610 --> 00:32:55,810
+اللي لازم اخد من هذا اللي هو ال matrix form ال
+
+415
+00:32:55,810 --> 00:33:04,990
+matrix form ان احنا بنيجي ال
+
+416
+00:33:04,990 --> 00:33:10,630
+matrix form هذا لل .. لل .. لل .. لل solution احنا
+
+417
+00:33:10,630 --> 00:33:14,690
+الآن بدنا نطلع على ال constraint functions مش هذا
+
+418
+00:33:14,690 --> 00:33:20,630
+ال constraint functions؟اللي هي هذه X زي Y زي U
+
+419
+00:33:20,630 --> 00:33:26,750
+سوى أربعة و X ثلاثة و Y زي صفر U زي V سوى ستة صح؟
+
+420
+00:33:26,750 --> 00:33:34,430
+فانا هنا هنا واحد يعني نفسهم
+
+421
+00:33:34,430 --> 00:33:37,730
+هم المعادلة هنا واحد و هنا واحد و هنا واحد و هنا
+
+422
+00:33:37,730 --> 00:33:42,990
+صفر لل V صح؟ و هنا واحد و هنا ثلاثة و هنا صفر لل U
+
+423
+00:33:42,990 --> 00:33:47,120
+و هنا واحد لل Vالان ال matrix formula من هذا
+
+424
+00:33:47,120 --> 00:33:54,560
+الكلام اللي هو انا باجي اقول X ضرب 1 1 زائد Y ضرب
+
+425
+00:33:54,560 --> 00:34:10,000
+1 3 زائد U ضرب 1 0 زائد V ضرب 0 1 يساوي 4 6 واضح
+
+426
+00:34:10,000 --> 00:34:14,730
+هذا؟لان خلاص انا باخد هدولة و بدمجهم في مصفوفة
+
+427
+00:34:14,730 --> 00:34:24,350
+واحدة اللي هي 11131010146
+
+428
+00:34:24,350 --> 00:34:32,650
+بتشكل اندي الجزء
+
+429
+00:34:32,650 --> 00:34:43,090
+هذا صح؟ يظل اندي السطر الأخيرالسطر الأخير هذا ان
+
+430
+00:34:43,090 --> 00:34:53,610
+انا ايش بسوي باصفر ال U و ال V و باجلب .. وين ال
+
+431
+00:34:53,610 --> 00:34:56,670
+.. هاي ال .. هاي ال objective function باخد ..
+
+432
+00:34:56,670 --> 00:35:01,690
+باخد عكس ال coefficients تبع ال .. تبع ال .. تبع
+
+433
+00:35:01,690 --> 00:35:04,670
+ال variables يعني ال Y ال coefficients تبعها خمسة
+
+434
+00:35:04,670 --> 00:35:09,010
+بحط نقص خمسة و ال V .. و ال X تلاتة بصيحه نقص
+
+435
+00:35:09,010 --> 00:35:10,810
+تلاتة okay الان
+
+436
+00:35:12,750 --> 00:35:21,370
+هذا الكلام كله اسمه اسمه اللي هو الـ
+
+437
+00:35:21,370 --> 00:35:30,990
+Simplex Tableau Simplex Tableau
+
+438
+00:35:30,990 --> 00:35:37,090
+بيتكون من عدد من الأسطر و عدد من الأعمدة الأعمدة
+
+439
+00:35:37,090 --> 00:35:41,470
+يساوي عدد ال variables هاي X و هاي Y و هاي U و هاي
+
+440
+00:35:41,470 --> 00:35:47,010
+Vعدد الأسطر يساوي .. عدد الأعمد يساوي عدد ال ..
+
+441
+00:35:47,010 --> 00:35:51,230
+variable زائد واحد الواحد اللي هو تبقى اللي هيش ال
+
+442
+00:35:51,230 --> 00:35:57,150
+B وعدد الأسطر يساوي عدد ال M ال constraints زائد
+
+443
+00:35:57,150 --> 00:36:09,910
+واحد الواحد هذا نسميه ال objective raw objective
+
+444
+00:36:09,910 --> 00:36:10,330
+raw
+
+445
+00:36:13,670 --> 00:36:18,170
+Okay؟ وهذا ال .. ايش؟ ال .. ال basic feasible
+
+446
+00:36:18,170 --> 00:36:23,150
+solution column الخلية هذه اللي هي قيمة ال
+
+447
+00:36:23,150 --> 00:36:26,210
+objective function عند هذا ال solution ايش ال
+
+448
+00:36:26,210 --> 00:36:31,570
+solution اللي احنا بنعبر عنه هنا؟
+
+449
+00:36:31,570 --> 00:36:33,950
+ايش ال solution؟ ما .. ما .. ما جيبناش سلسل
+
+450
+00:36:33,950 --> 00:36:41,390
+solutions 004600
+
+451
+00:36:43,250 --> 00:36:53,070
+أربعة ستة هذا solution قيمة .. قيمة X هنا Zero و
+
+452
+00:36:53,070 --> 00:36:59,170
+ال Y Zero ال U أربعة و ال V ستة وين هذا الكلام
+
+453
+00:36:59,170 --> 00:37:07,570
+أجا؟ احنا افترضنا ان ال X و ال Y Zero و حطينا ال U
+
+454
+00:37:07,570 --> 00:37:15,420
+أربعة و ال V ستةبحقق الـ constraints قبل ما يعطيني
+
+455
+00:37:15,420 --> 00:37:20,720
+قيمة هنا أولا، هل هذه النقاط،
+
+456
+00:37:20,720 --> 00:37:24,760
+الـ values بتحقق الـ constraints أين؟ هايحطينا هذا
+
+457
+00:37:24,760 --> 00:37:29,200
+Zero وهذا Zero وهنا أربعة، أربعة يساوي أربعة، هذا
+
+458
+00:37:29,200 --> 00:37:33,360
+Zero وهذا Zero وهذا أصلا هو الـ coefficient Zero
+
+459
+00:37:33,360 --> 00:37:38,120
+وهنا ستة، ستة يساوي ستة يعني هذا feasible solution
+
+460
+00:37:39,120 --> 00:37:44,240
+أو candidate solution او solution ايش؟ solution
+
+461
+00:37:44,240 --> 00:37:50,500
+مرشح ال solution هدا هو حطينا ال X و ال Y زيرو
+
+462
+00:37:50,500 --> 00:37:57,940
+صفرنا two variables هدولة و حطينا قيم لل U و ال V
+
+463
+00:37:57,940 --> 00:38:04,550
+ات ايش؟ اتحقق ال equality اتحقق ال constraintطب
+
+464
+00:38:04,550 --> 00:38:07,770
+خلاص إذا كان هذا الـ candidate solution، بناشوف
+
+465
+00:38:07,770 --> 00:38:10,430
+قيمة الـ objective function عند هذا الـ solution،
+
+466
+00:38:10,430 --> 00:38:26,950
+و أنا أعوض، باعوض هنا، هذا Zero،
+
+467
+00:38:33,340 --> 00:38:41,560
+الـ Region أي واحدة من الـ Extreme Points X سواء
+
+468
+00:38:41,560 --> 00:38:47,180
+Zero وY سواء Zero صح؟ الآن الـ method هتنجلني على
+
+469
+00:38:47,180 --> 00:38:51,100
+واحدة من الـ Adjacent تبعها إما هذه أو هذا وتحسب
+
+470
+00:38:51,100 --> 00:38:55,820
+عند هذا الـ Adjacent قداش ال value
+
+471
+00:38:59,280 --> 00:39:06,320
+فانا عامليا هاتقل من
+
+472
+00:39:06,320 --> 00:39:16,160
+تابلو لتابلو إلى أن أصل إلى .. من تابلو إلى تابلو
+
+473
+00:39:16,160 --> 00:39:19,980
+إلى أن أصل .. شوفي هنا Zero سلطة عشرة سلطة أربعة
+
+474
+00:39:19,980 --> 00:39:24,420
+عشر إلى أن أصل إلى إشي لا يعطيني تحسن
+
+475
+00:39:28,480 --> 00:39:34,060
+الكلام هذا انه يعطيني تحسن بقدر اعرفه من مؤشرات
+
+476
+00:39:34,060 --> 00:39:40,560
+عندي هنا في الـ objective row إذا طبعا لو ياندي
+
+477
+00:39:40,560 --> 00:39:46,440
+variables هنا negative بستمر لما نصيروا كلهم non
+
+478
+00:39:46,440 --> 00:39:55,270
+-negative بجف بعرف ان انا وصلت لأفضل شيءوباخد الـ
+
+479
+00:39:55,270 --> 00:39:58,390
+Value هذا على أن هو الـ Value تبع الـ Objective
+
+480
+00:39:58,390 --> 00:40:04,610
+Function وباخد إيش القيم هدولة على أساس هم القيم
+
+481
+00:40:04,610 --> 00:40:09,870
+تبعت مين المتغيرات okay؟ هذه الكلام بنشوفه عملي
+
+482
+00:40:09,870 --> 00:40:11,490
+المحاضرة الجاي ان شاء الله أعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/YRzzYLC6X10_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/YRzzYLC6X10_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..92f1c683edcf2d9e11683489767d58dedb7ba1ad
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/YRzzYLC6X10_postprocess.srt
@@ -0,0 +1,1616 @@
+1
+00:00:20,700 --> 00:00:23,360
+ماشي الحال بسم الله الرحمن الرحيم الصلاة والسلام
+
+2
+00:00:23,360 --> 00:00:26,960
+على أشرف المرسلين اليوم ان شاء الله احنا بنبدأ في
+
+3
+00:00:26,960 --> 00:00:30,820
+النوع التالت من تجزئة ال problem اللي هو ال
+
+4
+00:00:30,820 --> 00:00:34,380
+transform and conquer كنا في المحاضرات الماضية
+
+5
+00:00:34,380 --> 00:00:38,500
+حكينا في ال decrease and conquer و بعدين chapter
+
+6
+00:00:38,500 --> 00:00:41,800
+خمسة divide and conquer الآن في chapter ستة
+
+7
+00:00:41,800 --> 00:00:47,870
+transform and conquerالمحاضرة هذه ستظهر على واحد
+
+8
+00:00:47,870 --> 00:00:50,890
+من أنواع الـTransform الـTransform أن كان فيه تلت
+
+9
+00:00:50,890 --> 00:00:56,650
+أنواع اللي هو الـInstance Simplification و
+
+10
+00:00:56,650 --> 00:01:01,470
+الـRepresentation Change و Problem Reduction قبل
+
+11
+00:01:01,470 --> 00:01:04,690
+أن ندخل في إيش هذه المصطلحات معناتها سنظهر على
+
+12
+00:01:04,690 --> 00:01:09,350
+مثال أو عدة أمثلة من النوع الأول من خلال هذه
+
+13
+00:01:09,350 --> 00:01:12,190
+الأمثلة سنفهم إيش يعني Instant Simplification
+
+14
+00:01:13,030 --> 00:01:17,590
+والانواع التانية بيش بنفهمها برضه من الأمثل اللي
+
+15
+00:01:17,590 --> 00:01:21,350
+هي تبعتها في المحاضرات الجاي المهم القاسم المشترك
+
+16
+00:01:21,350 --> 00:01:24,490
+بين تلات أنواع هدولة ان احنا بنعمل some kind of
+
+17
+00:01:24,490 --> 00:01:29,590
+transformation على ال input غالبا أو أحيانا على ال
+
+18
+00:01:29,590 --> 00:01:35,370
+problem من أجل تحويله ال input هذا إلى صيغة أخرى
+
+19
+00:01:35,370 --> 00:01:41,280
+يسهل التعامل معاهابالتحديد الـ Instance
+
+20
+00:01:41,280 --> 00:01:45,720
+Simplification هو أكثر مثال مباشرة على هذا المفهوم
+
+21
+00:01:45,720 --> 00:01:52,180
+مفهوم إعادة صياغة ال input بشكل أبسط اللي ال
+
+22
+00:01:52,180 --> 00:01:57,660
+algorithm تقدر تتعامل معاه أسرع خلّيني أطلع على
+
+23
+00:01:57,660 --> 00:02:04,900
+الأمثلة اللي عندنا في موضوع ال pre sorting هوتحت
+
+24
+00:02:04,900 --> 00:02:11,640
+هذا المصطلح بتيجي عدد من المسائل اللي تتطلب pre
+
+25
+00:02:11,640 --> 00:02:15,640
+sorting يعني المسائل هذه ال input تبعها عبارة عن
+
+26
+00:02:15,640 --> 00:02:20,740
+array او set يعني مجموعة عاوزين نعمل شغل على هذه
+
+27
+00:02:20,740 --> 00:02:22,300
+المجموعة نطلع شيء معين
+
+28
+00:02:25,030 --> 00:02:29,350
+الـ Instant Simplification في هذه الحالة معناته
+
+29
+00:02:29,350 --> 00:02:37,050
+اننا نرتب المجموعة هذه قبل ما نتناولها عشان نحل
+
+30
+00:02:37,050 --> 00:02:43,050
+المسألة المطلوبة مننا يعني مثلا ال searching انا
+
+31
+00:02:43,050 --> 00:02:48,070
+بدأ ابحث عن عنصر في array إذا ال array مرتبة أصلا
+
+32
+00:02:48,070 --> 00:02:53,180
+تبقى أبسط من لو ال array مش مرتبة صح؟ولا لأ اذا ال
+
+33
+00:02:53,180 --> 00:02:56,640
+array مرتبة انا ممكن اروح على نص ال array و اقارن
+
+34
+00:02:56,640 --> 00:03:03,590
+بهذا العنصر اللي في النصوإذا الانصر أكبر من اللي
+
+35
+00:03:03,590 --> 00:03:08,370
+معايا، بأرجع، إذا الانصر أصغر من اللي معايا، بجدم،
+
+36
+00:03:08,370 --> 00:03:14,430
+صح؟ فمسألة البحث أصبحت أبسط في ظلم أن الارواح كانت
+
+37
+00:03:14,430 --> 00:03:19,390
+مرتبة فهنا نحن في الـ Pre-Sorting بعمل
+
+38
+00:03:19,390 --> 00:03:22,570
+Simplification للإنستنس، إن الانستنس مقصود بيها ال
+
+39
+00:03:22,570 --> 00:03:27,160
+input يعنيالـ input فخلّيني أطلع على بعض الأمثلة
+
+40
+00:03:27,160 --> 00:03:33,360
+اللي تقع تحت القالية الـ pre-sorting و بنقول الـ
+
+41
+00:03:33,360 --> 00:03:37,300
+pre-sorting هي مثال على الـ instance
+
+42
+00:03:37,300 --> 00:03:44,050
+simplificationأول اشي الصورتنج الصورتنج بصفة عامة
+
+43
+00:03:44,050 --> 00:03:47,070
+في تكنيكز مختلفة للصورتنج يعني لما بدأ أخد array
+
+44
+00:03:47,070 --> 00:03:51,190
+عشان أشتغل عليها أو أروح و أجوب و أرتبها في الأول
+
+45
+00:03:51,190 --> 00:03:55,310
+في عندي هدت بدائل فاحنا بالمجمل بدنا نتفق على ان
+
+46
+00:03:55,310 --> 00:03:59,850
+ال performance تبع الصورتنج هيكون افضل اشي in
+
+47
+00:03:59,850 --> 00:04:04,050
+login تمام؟ in login بمعنى انه الآن انا لما بدي
+
+48
+00:04:04,050 --> 00:04:11,990
+احسب التكلفة الاجماليةبدأ أقول ال sorting جديش كلف
+
+49
+00:04:11,990 --> 00:04:15,930
+والشغل الإضافي اللي عملناه بعد ال sorting جديش كلف
+
+50
+00:04:15,930 --> 00:04:20,290
+فنجمع الاتنين okay فبنجمع الاتنين على أساس أن
+
+51
+00:04:20,290 --> 00:04:28,150
+الأولاني اللي هو ال sorting بيكلف in login timeطيب
+
+52
+00:04:28,150 --> 00:04:32,050
+ليش اللي عندنا الأمثلة؟ في عندي مثال بسيط اللي هو
+
+53
+00:04:32,050 --> 00:04:35,470
+شفناه قبلك ال uniqueness لما نكون في عندي مجموعة
+
+54
+00:04:35,470 --> 00:04:40,970
+مخزنة في array و بدأ أسأل السؤال هل المجموعة هذه
+
+55
+00:04:40,970 --> 00:04:46,550
+distinct ولا لأ؟ هل بتفرج لو كانت المجموعة هذه
+
+56
+00:04:46,550 --> 00:04:52,390
+sorted ولا لأ؟ أعتقد بتفرج بس خلّيني أجابل احنا
+
+57
+00:04:52,390 --> 00:04:54,730
+لما اتعاملنا مع المسألة اللي قبلك اتعاملنا معاها
+
+58
+00:04:55,670 --> 00:05:00,070
+Brute force، صح؟ تتذكروا كيف كانت بدون pre
+
+59
+00:05:00,070 --> 00:05:03,670
+-sorting، بدون pre-sorting، كيف كانت القالية ال ..
+
+60
+00:05:03,670 --> 00:05:08,510
+القالية ال algorithm؟ انه خلّيني أخد مثال اللي هو
+
+61
+00:05:08,510 --> 00:05:15,910
+هذه ال list، خمسة، واحد،
+
+62
+00:05:15,910 --> 00:05:23,810
+خمسة، طبعا هذه القرية مش distinct، مش distinctكنا
+
+63
+00:05:23,810 --> 00:05:27,630
+بنجي بنقول .. خدنا نرجع تاني على ال example كنا
+
+64
+00:05:27,630 --> 00:05:31,490
+بنجي بنقول .. بجف على الانصار الأولاني و بقارنه
+
+65
+00:05:31,490 --> 00:05:37,390
+بالعواصف الباجين كلهم إذا لجيت واحد يساوي .. يبقى
+
+66
+00:05:37,390 --> 00:05:43,240
+مش distinct و بانهيإذا لم أجد أي شخص بيساوي، فأنا
+
+67
+00:05:43,240 --> 00:05:47,320
+أعرف إن هذا الشخص التاني لديه واحد من الباقين،
+
+68
+00:05:47,320 --> 00:05:51,200
+فأقوم باللف عليهم كل أنصار و بجف عليه و بقارنه
+
+69
+00:05:51,200 --> 00:05:55,720
+بالباقين، اللي بعده بجف عليه و بقارنه بالباقين،
+
+70
+00:05:55,720 --> 00:06:01,640
+مظبوط؟ هذا ال approach لحل مسألة ال uniqueness،
+
+71
+00:06:01,640 --> 00:06:05,060
+صح؟ لو الأن بدنا نعملها على أساس pre sorting
+
+72
+00:06:05,060 --> 00:06:11,400
+أولاً،فبنيجي و بنقول الارهد خلينا نرتبها، و إيش
+
+73
+00:06:11,400 --> 00:06:16,440
+ضال بعد ما ترتبت؟ هتترتبوا السير، واحد، خمسة،
+
+74
+00:06:16,440 --> 00:06:22,880
+خمسة، خمسة، ستة، سبعة، سبعة، أصبحت المثل الأن أقصد
+
+75
+00:06:22,880 --> 00:06:28,710
+بكتيربقدر استخدم ال approach اللي الساذج خلينا
+
+76
+00:06:28,710 --> 00:06:32,730
+نقول اللي هو أنه أقارن كل أنصر بس باللي بعده،
+
+77
+00:06:32,730 --> 00:06:35,770
+ذاكرين لما احنا حكينا في الموضوع هذا من البداية،
+
+78
+00:06:35,770 --> 00:06:38,830
+كنا قولنا هل بيظبط أنه .. لو بديش اعمل .. لو هنا
+
+79
+00:06:38,830 --> 00:06:41,430
+.. حتى و هي مش مرتبة يعني، هل بيظبط ان اقارن
+
+80
+00:06:41,430 --> 00:06:46,320
+الخمسة بالواحد؟الواحد بالخمسة لخمسة سبع مايظبطش
+
+81
+00:06:46,320 --> 00:06:51,160
+لأن إذا هذا و الله مش يساوي هذا و هذا يساوي هذا لأ
+
+82
+00:06:51,160 --> 00:06:55,460
+طب عادي هذا بساوي الأنصار البعيد هذا مظبوط فال ..
+
+83
+00:06:55,460 --> 00:06:59,440
+المنهجية ال .. أو الطريقة الساذجة هذه مابتظبطش إذا
+
+84
+00:06:59,440 --> 00:07:02,820
+هي .. إنها مابتظبط و هي مرتبة ولا لأ يعني أنا هنا
+
+85
+00:07:02,820 --> 00:07:07,020
+بعد ما اترتبت بقدر ببساطة شديدة أجي أقول لو في
+
+86
+00:07:07,020 --> 00:07:13,180
+عندي اتنين جان بعض بيسووا بعض يبقى هيو إذا مافيش
+
+87
+00:07:13,180 --> 00:07:17,640
+شيء يبقى هي unique
+
+88
+00:07:17,640 --> 00:07:22,200
+لأنه بعد ما ترتبت إذا فيه اتنين يساوي بعض هيجي جان
+
+89
+00:07:22,200 --> 00:07:27,560
+بعض، صح؟ بعد ما ترتبت، إذا فيه اتنين بيساوي بعض،
+
+90
+00:07:27,560 --> 00:07:31,060
+هيكون حتما أجي جان بعض، فلما أنا بقارن بس على
+
+91
+00:07:31,060 --> 00:07:34,360
+المجاورين، كل واحد و اللي مجاوره، هقدر اكتشف إذا
+
+92
+00:07:34,360 --> 00:07:39,420
+فيه ..تكرر ولا لأ؟ صح؟ فهنا أجهزة الـ pre-sorting
+
+93
+00:07:39,420 --> 00:07:41,280
+.. أجهزة الـ pre-sorting .. أنه احنا عملنا القرية
+
+94
+00:07:41,280 --> 00:07:47,080
+.. عملناها ترتيب .. و بعدين اشتغلنا بإيش .. ببساطة
+
+95
+00:07:47,080 --> 00:07:49,700
+.. انه نقرنها .. ده أجهزة الـ pre-sort كنوع من الـ
+
+96
+00:07:49,700 --> 00:07:52,380
+simplification لمين .. لل input .. ال problem
+
+97
+00:07:52,380 --> 00:07:56,170
+دلوقتي هي .. هي .. هي .. بس هنا بسطنا لل inputبدل
+
+98
+00:07:56,170 --> 00:07:58,830
+ما كان مش مرتّب، رتّب نصر أسهل على الـ Algorithm
+
+99
+00:07:58,830 --> 00:08:03,790
+بتعمل بس مقارنة بسيطة هناك في ال brute force كانت
+
+100
+00:08:03,790 --> 00:08:07,230
+بتعمل مقارنة مُركّبة يعني بتيجي في عدد واحد و
+
+101
+00:08:07,230 --> 00:08:09,390
+بتقارن مع كل اللي بعده، اللي بعده و مع كل اللي
+
+102
+00:08:09,390 --> 00:08:15,150
+بعده، مظبوط؟ هنا مجرد مقارنة، كل اتنين جانب بعض، و
+
+103
+00:08:15,150 --> 00:08:18,110
+.. و .. و إيه؟ الآن لو أنا طلع ال complexity تبعت
+
+104
+00:08:18,110 --> 00:08:26,060
+اللي هوتبعت ال problem ككل في ظلم أننا جزّقناها
+
+105
+00:08:26,060 --> 00:08:30,460
+إلى pre-sorting ثم checking صار في عندي ال total
+
+106
+00:08:30,460 --> 00:08:36,040
+time ال total time هو ال time تبع ال sorting زاد
+
+107
+00:08:36,040 --> 00:08:39,380
+ال time تبع ال scanning ال scanning انه نقارن كل
+
+108
+00:08:39,380 --> 00:08:46,500
+اتنين هذا احنا متفقين من الجبل على انه dictate of
+
+109
+00:08:46,500 --> 00:08:54,270
+n log n في المتوسط هيبقى هذاهنستخدم sorting
+
+110
+00:08:54,270 --> 00:08:59,850
+مايزيدش عن ال in log in طيب ال scan جداش ال
+
+111
+00:08:59,850 --> 00:09:05,510
+complexity تبعتها in لأنه في أسوأ الأحوال همشي أنا
+
+112
+00:09:05,510 --> 00:09:09,770
+عش عليهم كلهم لحد ديت ربما في الآخر أكتشف أو
+
+113
+00:09:09,770 --> 00:09:17,090
+مايطلعوا مافيش تشابه ففي الإجمالي في الإجمالي
+
+114
+00:09:17,090 --> 00:09:18,350
+هتبقى
+
+115
+00:09:20,110 --> 00:09:25,050
+ن و احنا متفقين مسبقا من بداية الفصل انه في عندي
+
+116
+00:09:25,050 --> 00:09:28,770
+ال algorithm ال complexity تبعتها هي حاصل دمج بين
+
+117
+00:09:28,770 --> 00:09:34,250
+two complexities باخد ال higher order اللي هي هنا
+
+118
+00:09:34,250 --> 00:09:38,010
+ال mean ال n log n أكبر من ال n صح؟ فال complexity
+
+119
+00:09:38,010 --> 00:09:45,490
+الإجمالية تبعت هذا ال approach هي n log n ثتا ال n
+
+120
+00:09:45,490 --> 00:09:49,410
+هذا أفضل من ال .. نعم؟
+
+121
+00:09:51,430 --> 00:09:58,130
+هيبقى عنا ايش؟ two four هيبقى عنا ايش؟ نرجع
+
+122
+00:09:58,130 --> 00:10:04,610
+تانى هيعني في الأول فيه ال sort هذه هتتم كعملية
+
+123
+00:10:04,610 --> 00:10:11,730
+مسبقة pre و سوء بس عملية ال scan هذه اه همشي زيك
+
+124
+00:10:11,730 --> 00:10:18,210
+معايا انصرين واحد مع الخمسة خمسة مع الخمسة تمام
+
+125
+00:10:18,210 --> 00:10:26,750
+همشي منI بيساوي Zero ل N نقص اتنين لما
+
+126
+00:10:26,750 --> 00:10:34,670
+اصل لهذا بقارنه مع اللي بعده فهذا ال scan مالوش
+
+127
+00:10:34,670 --> 00:10:39,270
+له داخلية بس انا كل واحد و جاره بقارن هذا بقارنه
+
+128
+00:10:39,270 --> 00:10:43,820
+مع جاره هذا مع جارهصح هذا الـ pointer بيشير إلى I
+
+129
+00:10:43,820 --> 00:10:48,560
+plus one هذا I و هذا I plus one الان انتقلت هذا
+
+130
+00:10:48,560 --> 00:10:53,140
+دايما صح مظموط
+
+131
+00:10:53,140 --> 00:10:58,000
+و لا فيعني الان هذه ال scam هتمشي N number of
+
+132
+00:10:58,000 --> 00:11:04,620
+times okay الان هذا افضل ولا مش افضل السؤال بقارنة
+
+133
+00:11:04,620 --> 00:11:07,460
+مع مين اذا بقارن مع ال brute force ال brute force
+
+134
+00:11:07,460 --> 00:11:13,320
+كانت ايش قلنا احنا N squareلأن مجموعة من ال loops
+
+135
+00:11:13,320 --> 00:11:17,760
+تتناقص عددها تبدأ من N نقص واحد و تتنقص تنقص تنقص
+
+136
+00:11:17,760 --> 00:11:21,560
+لما آخر loop تبقى one فهذه المجموعة من ال loops
+
+137
+00:11:21,560 --> 00:11:25,480
+عدد مراتها N ضرب N نقص واحد على اتنين اللي هو
+
+138
+00:11:25,480 --> 00:11:28,840
+complexity N square N square أحسن ولا N log N
+
+139
+00:11:28,840 --> 00:11:34,040
+أحسن؟انه جدا احسن، تمام؟ فهذا الآن .. هذا عبارة عن
+
+140
+00:11:34,040 --> 00:11:39,500
+تحالة مسألة اللي هو ال .. ال uniqueness باستخدام
+
+141
+00:11:39,500 --> 00:11:42,160
+ال pre-sorting، ال pre-sorting عمل ليه
+
+142
+00:11:42,160 --> 00:11:47,140
+simplification لل input عشان يصير ال .. عشان ال ..
+
+143
+00:11:47,140 --> 00:11:50,580
+ال .. ال algorithm تقدر تعمل معاه بسهولة، حالة ال
+
+144
+00:11:50,580 --> 00:11:54,080
+.. ال pre-sorting حسن الأداء؟ أي نعمالثالث تاني
+
+145
+00:11:54,080 --> 00:12:00,800
+اللي هو ال computing ال mode مارش علينا حل زي هيك
+
+146
+00:12:00,800 --> 00:12:05,300
+في المادة هذه انه مثلا ايش ال mode هنا؟ ال mode
+
+147
+00:12:05,300 --> 00:12:10,160
+غير عن ال mod ال mod اللي هو باقي القسمة ال mode
+
+148
+00:12:10,160 --> 00:12:13,480
+هو لما يوجه في هذه مجموعة زي هذه نفس المجموعة
+
+149
+00:12:13,480 --> 00:12:17,380
+السؤال هو مين العنصر اللي بتكرر اكتر من ال .. من
+
+150
+00:12:17,380 --> 00:12:21,980
+ال .. من ال geo الخامسةالخامسة بيه هنا بتكرر تلت
+
+151
+00:12:21,980 --> 00:12:25,560
+مرات، السبعة مرتين، الستة والواحد كل واحد مرة،
+
+152
+00:12:25,560 --> 00:12:30,380
+الان ال computing ال mode يعني طلعلي مين العنصر ..
+
+153
+00:12:30,380 --> 00:12:34,640
+بديش عدد مرات تكراره، مش هو هذا المطلوب، المطلوب
+
+154
+00:12:34,640 --> 00:12:40,780
+مين العنصر بتكرر أكتر شيء، الان لو احنا بدنا برضه
+
+155
+00:12:40,780 --> 00:12:43,460
+كمان نشوف ال brute force كيف ممكن نتعامل مع حد
+
+156
+00:12:43,460 --> 00:12:48,590
+مثلا، ايش بنعمل؟كيف احنا ممكن .. مش .. مش .. مش
+
+157
+00:12:48,590 --> 00:12:53,710
+transform and conquer مش pre sorting brute force
+
+158
+00:12:53,710 --> 00:12:58,130
+brute force انا حد بتقترح .. حد عنده فكرة عن كيف
+
+159
+00:12:58,130 --> 00:13:03,670
+.. كيف بده انا اكتشف العنصر اللي بيتكرر اكتر من
+
+160
+00:13:03,670 --> 00:13:10,670
+غيره في
+
+161
+00:13:10,670 --> 00:13:15,080
+عندك هي كلمة ال sir compute ال frequencyلو جينا
+
+162
+00:13:15,080 --> 00:13:17,940
+قولنا إيش يعني ال frequency يعني عدد مرات التكرار
+
+163
+00:13:17,940 --> 00:13:22,700
+ممكن نيجي نقول و الله هي طبعا بنتعامل معاها قبل
+
+164
+00:13:22,700 --> 00:13:27,620
+ترتيبها بدون pre sorting نيجي بنجي فعلا العنصر كل
+
+165
+00:13:27,620 --> 00:13:32,600
+عنصر من العنصر ال array و بنسجل عدد مرات تكراره
+
+166
+00:13:32,600 --> 00:13:39,360
+okayالخامسة خلّينا في الأول القرية تبقى تبقى لسه
+
+167
+00:13:39,360 --> 00:13:44,380
+element واحد الخامسة عدد مرات تكرارها واحد وجفنا
+
+168
+00:13:44,380 --> 00:13:47,480
+الآن على الواحد الواحد موجود في هذه لأ مش موجود
+
+169
+00:13:47,480 --> 00:13:53,780
+فبنضيف عنصر جديد وعدد مرات تكراره واحد الخامسة
+
+170
+00:13:53,780 --> 00:13:58,960
+موجود في هذه ايه نعم موجود فبنعمل increment
+
+171
+00:13:58,960 --> 00:14:01,960
+السابعة
+
+172
+00:14:02,690 --> 00:14:09,130
+موجود لأ مش موجود فبنضيفه الستة مش موجود بنضيفه
+
+173
+00:14:09,130 --> 00:14:16,270
+الخمسة موجود أين عام فالثلاثة السبعة موجود فبصير
+
+174
+00:14:16,270 --> 00:14:21,310
+اتنين هذه ال array نبحث فيها عن ال frequency
+
+175
+00:14:21,310 --> 00:14:29,930
+الأعلى وبنطلع صاحب هذه ال frequency الأعلى هذا
+
+176
+00:14:29,930 --> 00:14:34,910
+brute forceبروت فورس approach هذا ايش هيكلفني؟
+
+177
+00:14:34,910 --> 00:14:38,530
+هيكلفني ان انا لف على كل هنصر و كل هنصر اروح اعمل
+
+178
+00:14:38,530 --> 00:14:46,050
+بحث عنه في هذه ال list موجود بروح بعمل increment
+
+179
+00:14:46,050 --> 00:14:53,590
+مش موجود فبوضيفه ب initial value oneوين ال worst
+
+180
+00:14:53,590 --> 00:14:56,730
+case في الموضوع هذا؟ وين ال best case؟ عشان نطلع
+
+181
+00:14:56,730 --> 00:15:01,990
+ال best case ان الأرقام كلها تبجها نفس العنصر،
+
+182
+00:15:01,990 --> 00:15:07,590
+خمسة، تخلى لي خمسةو اجي انا هنا اعمل خمسة و كل مرة
+
+183
+00:15:07,590 --> 00:15:12,870
+اجي اعمل increment مااضيفش حاجة فانا يعني عملية
+
+184
+00:15:12,870 --> 00:15:17,170
+البحث هذه تقريبا التغت لأن انا بابحث مرة واحدة
+
+185
+00:15:17,170 --> 00:15:20,250
+بطلع اللي هو اه خمسة برا بعمل increment للمرة اللي
+
+186
+00:15:20,250 --> 00:15:24,150
+بعدها خمسة انا اعمل increment فبسير انا لافف على
+
+187
+00:15:24,150 --> 00:15:28,370
+القرية هذه عدد n من المرات و في كل مرة اعمل
+
+188
+00:15:28,370 --> 00:15:31,990
+comparison واحدة و مكتشف ان هو العنصر اللي معايا
+
+189
+00:15:31,990 --> 00:15:35,830
+هو نفسه اللي هنا و اعمل incrementيبقى in هذا ال
+
+190
+00:15:35,830 --> 00:15:42,390
+best case ال worst case انهم كلهم مختلفين ولا واحد
+
+191
+00:15:42,390 --> 00:15:48,870
+منهم مكرر كلهم مختلفين كلهم يبقى distinct يعني
+
+192
+00:15:48,870 --> 00:15:55,470
+بعضار أخرى في هذا الحالة هشوف هحط
+
+193
+00:15:55,470 --> 00:16:01,110
+اشي تاني قول مثلا أنصر من واحد عجب
+
+194
+00:16:01,110 --> 00:16:08,380
+الواحد مش موجود في عملهالتنين مش موجود فعمله طبعا
+
+195
+00:16:08,380 --> 00:16:12,700
+كيف عرفت انه مش موجود قرنت تلاتة بدور مش موجود
+
+196
+00:16:12,700 --> 00:16:19,920
+بعمله الأربع بدور مش موجود بعمله تمام؟ والخمس كذلك
+
+197
+00:16:19,920 --> 00:16:30,150
+والست كذلك صح؟ يعني أنا في كل أنصر عملت عدد إيش؟من
+
+198
+00:16:30,150 --> 00:16:33,170
+المقارنات الوانصر الأول عادل وقعدت مقارنة واحد
+
+199
+00:16:33,170 --> 00:16:36,270
+الوانصر التاني عملت مقارنتين او لا الوانصر الأول
+
+200
+00:16:36,270 --> 00:16:42,170
+zero التاني واحد التالت تلت مقارنات زي جثة اللي هو
+
+201
+00:16:42,170 --> 00:16:48,370
+ال loops اللي بتتناقص او بتتزايد من zero إلى N
+
+202
+00:16:48,370 --> 00:16:52,230
+ناقص واحد او N ناقص اتنين او اتنين ستة فال complex
+
+203
+00:16:52,230 --> 00:16:59,110
+التابعة N square okay الان هذه المفروض ايش big O
+
+204
+00:17:07,140 --> 00:17:12,420
+البرود فورس ابروش هذا في ال worst case n² فاحنا
+
+205
+00:17:12,420 --> 00:17:16,760
+بدنا اشي افضل من هيك هل ال pre sorting ممكن يعطيلي
+
+206
+00:17:16,760 --> 00:17:20,320
+performance افضل خلنا نشوف لو ان ال array هذا
+
+207
+00:17:20,320 --> 00:17:20,740
+sorted
+
+208
+00:17:25,520 --> 00:17:29,340
+لو ان ال array هذه sorted انا الآن هستغنى ايضا عن
+
+209
+00:17:29,340 --> 00:17:35,860
+ال array تبع ال frequency هذه مش هحتاجها لأن في
+
+210
+00:17:35,860 --> 00:17:41,160
+طريقة اخرى افضل منها او بتغنين عنها يعنى خلينا
+
+211
+00:17:41,160 --> 00:17:47,640
+نطلع هذه بعد ما يهم ال sorting sorteded واحد
+
+212
+00:17:47,640 --> 00:17:53,480
+خمسة خمسة خمسة بعدين ستة بعدين سبعة سبعة
+
+213
+00:17:58,010 --> 00:18:01,190
+ما هي الان بعد ما هي sorted كيف ممكن اتعامل مع ال
+
+214
+00:18:01,190 --> 00:18:07,750
+problem بجف عليهم واحد من واحدة لآخر بشوف هذا
+
+215
+00:18:07,750 --> 00:18:11,870
+المنصج اديش تكرر هم هيبجوا ورا بعض التكرارات تبعه
+
+216
+00:18:11,870 --> 00:18:16,430
+هتبجى جاية ورا بعض هذا مرة واحدة هذا طيب اللي بعده
+
+217
+00:18:16,430 --> 00:18:21,150
+اه زيه اللي بعده اه زيه وكده ومجي بسجل تلاتة هذا
+
+218
+00:18:21,150 --> 00:18:26,170
+الآن اسف يعني بعد ما اشوف الستة هاكتشف انه هذه بس
+
+219
+00:18:26,170 --> 00:18:31,150
+تلاتة فهسجل تلاتةOkay فانا قاعد بامشي بحث عن ال
+
+220
+00:18:31,150 --> 00:18:36,630
+maximum .. ال maximum ايه ايش؟ frequency صح؟ هذا
+
+221
+00:18:36,630 --> 00:18:39,750
+الان .. هذا الان frequency في الأول هحطها ايش؟
+
+222
+00:18:39,750 --> 00:18:44,540
+Zeroالعصر الأولى يعني ال frequency بتبعته جداش one
+
+223
+00:18:44,540 --> 00:18:48,900
+فمشيل ال zero و بحط one الآن مشيت وجدت أن هذا
+
+224
+00:18:48,900 --> 00:18:52,600
+مختلف يبقى انتهت هذا يبقى الآن بدأت frequency
+
+225
+00:18:52,600 --> 00:18:58,020
+جديدة واحد اتنين تلاتة مشيت خلصنا يبقى لأ هذا أكتر
+
+226
+00:18:58,740 --> 00:19:03,800
+تلاتة الان تجلت على الستة امشيت وجيت المختلف يبقى
+
+227
+00:19:03,800 --> 00:19:08,580
+واحد يبقى مش اكتر من تلاتة بسبط التلاتة صح؟ بمشي
+
+228
+00:19:08,580 --> 00:19:14,000
+بها بالقاليل عموما هاي ال algorithm خلينا نطلع
+
+229
+00:19:14,000 --> 00:19:20,700
+عليها بشكل دقيق ان انا في عندي متغيرات اربعة اللي
+
+230
+00:19:20,700 --> 00:19:29,920
+هم في حالة اسمها ال mode value و ال modefrequency
+
+231
+00:19:29,920 --> 00:19:35,300
+وفي
+
+232
+00:19:35,300 --> 00:19:44,480
+ال run value وفي ال run length ال run هنا يقصد
+
+233
+00:19:44,480 --> 00:19:50,160
+بيها جداش
+
+234
+00:19:50,160 --> 00:19:59,090
+ال value بتكرر جداش بيمشي معانا في القرايةالـ
+
+235
+00:19:59,090 --> 00:20:03,530
+runLength هو طول
+
+236
+00:20:03,530 --> 00:20:09,930
+التكرار و الـ runValue هو قيمة التي تتكرر نفسنا
+
+237
+00:20:09,930 --> 00:20:15,410
+مبدأيا سنختار الـ Unresorted سنضع I على 0
+
+238
+00:20:21,260 --> 00:20:25,500
+وانشلاز الفريقونسي بـ 0 الموض فريقونسي والموض
+
+239
+00:20:25,500 --> 00:20:30,340
+فاليو الموض فاليو هو المطلب النهائي حيكون هو ال
+
+240
+00:20:30,340 --> 00:20:34,800
+value اللي موض فريقونسي تبعته maximum القيمة اللي
+
+241
+00:20:34,800 --> 00:20:38,740
+موض فريقونسي تبعتها maximum هي اللي بنرجحها ال
+
+242
+00:20:38,740 --> 00:20:43,280
+wild loop هذه بتمشي من I اللي هي من 0 لإن نقص واحد
+
+243
+00:20:43,280 --> 00:20:49,830
+لإن الأخيرفي كل عنصر بيبدأ تطلع على عنصر هذا جدّيش
+
+244
+00:20:49,830 --> 00:20:54,150
+ال value تبعه و ايش ال run تبعته جدّيش جدّيش بيمشي
+
+245
+00:20:54,150 --> 00:21:00,870
+فالان مبدئيا ال run length مبدئيا ال length بيساوي
+
+246
+00:21:00,870 --> 00:21:05,810
+واحد او احنا عنصر فهو موجود في طول واحد ال value
+
+247
+00:21:05,810 --> 00:21:12,830
+تبعه هو قيمته عند هنا واحد
+
+248
+00:21:17,010 --> 00:21:25,330
+بدأ أمشي الآن أشوف اللي بعده هل زيه و لا لأ طالب
+
+249
+00:21:25,330 --> 00:21:33,190
+أنه بشوف زيه فبدي إيش أزود ال run length عند أنا
+
+250
+00:21:33,190 --> 00:21:36,390
+الآن الواحد همشي على .. أبص على هذا الآن على اللي
+
+251
+00:21:36,390 --> 00:21:44,780
+بعده I plus one لاجته مختلف يبقى خلاصثبتت الرأي ان
+
+252
+00:21:44,780 --> 00:21:49,500
+هذا الواحد ماتكررش الا مرة واحدة المرة الواحدة هذه
+
+253
+00:21:49,500 --> 00:21:55,980
+هل هي اكبر من ال current frequency اي نعم بسجلها
+
+254
+00:21:55,980 --> 00:21:59,280
+وبنتقل
+
+255
+00:21:59,280 --> 00:22:05,680
+بعدها كعالمين على البعد لان قمت على الخمسة عيد نفس
+
+256
+00:22:05,680 --> 00:22:11,650
+الشيء اه بس قبل ال run value الان هو الخمسةو ال
+
+257
+00:22:11,650 --> 00:22:17,450
+run length تبقى واحد هبص على اللي بعده اللي بعده
+
+258
+00:22:17,450 --> 00:22:26,970
+زيه تمام بامشي على اللي بعده زيه بامشي على اللي
+
+259
+00:22:26,970 --> 00:22:31,730
+بعده مش زيه يبقى خلاص الخمسة هذه ال length تبعها
+
+260
+00:22:31,730 --> 00:22:40,430
+تلاتة تلاتة الأن أكبر من ال current أي نعمبسجل
+
+261
+00:22:40,430 --> 00:22:43,270
+تلاتة اه بانساش انه برضه ال value بحطه هنا فوق
+
+262
+00:22:43,270 --> 00:22:49,450
+نرجع لل algorithm في عندي ال while loop ال .. ال
+
+263
+00:22:49,450 --> 00:22:53,950
+while loop اللي برا اللي هي تبعت ال I ال while
+
+264
+00:22:53,950 --> 00:22:58,910
+loop اللي جوا اللي هي تبعت استكشاف طول الرم تبعت
+
+265
+00:22:58,910 --> 00:23:03,970
+هذا ال I okay هضلني امشي لغاية ما لاجي حاجة مختلفة
+
+266
+00:23:03,970 --> 00:23:06,410
+value مختلفة فهذه اللي بقول لي while
+
+267
+00:23:11,380 --> 00:23:17,660
+بحط قيمة الـ I هذا في الـ run value و ببدأ عداد ال
+
+268
+00:23:17,660 --> 00:23:23,700
+run بواحد عداد ال run بواحد فانا الآن بجف على I
+
+269
+00:23:23,700 --> 00:23:30,240
+زائد ال run length واحد خلينا نبدأ من البداية
+
+270
+00:23:30,240 --> 00:23:37,480
+بداية هون هذا شهد Zero وهذا الآن إيش مصير؟الـ Run
+
+271
+00:23:37,480 --> 00:23:41,260
+Length قال ليه؟ بتساوي واحد والـ Run Value بساوي
+
+272
+00:23:41,260 --> 00:23:45,500
+العصر اللي جوا اذا ما اخش على اللوب الداخلية I
+
+273
+00:23:45,500 --> 00:23:52,680
+زائد Run Length بسوا واحد I هي Zero الآن Zero زائد
+
+274
+00:23:52,680 --> 00:23:58,960
+واحد، واحد صارنا بتشارن الآن هنا هذا المقدار I
+
+275
+00:23:58,960 --> 00:24:04,760
+زائد Run Length اللي هو برضه هذا نفسه خليني أسميه
+
+276
+00:24:04,760 --> 00:24:13,000
+J، إيش رأيكوا؟خلّيني أعمل pointer هذا J الآن احنا
+
+277
+00:24:13,000 --> 00:24:21,120
+في I وهذا J بيشاور هنا I زائد run length 1 زائد I
+
+278
+00:24:21,120 --> 00:24:26,320
+اللي هي Zero ثم بيشاور هنا الآن عشان نفحص هل أقل
+
+279
+00:24:26,320 --> 00:24:30,520
+من نقص واحد؟ أه لسه احنا بعيدين عن نهاية القرية هل
+
+280
+00:24:30,520 --> 00:24:33,940
+يساوي ال run value؟ هل هذا اللي احنا واجهين عليه
+
+281
+00:24:33,940 --> 00:24:39,990
+يساوي ال run value؟ لأيقولوا له باري مش هنخشها هذا
+
+282
+00:24:39,990 --> 00:24:45,530
+الكلام مش هنعمله هنطلع لما نطلع أين بنرجع؟ على
+
+283
+00:24:45,530 --> 00:24:50,250
+وين؟ على هذه صح؟ مش هنرجع لسه .. لأ .. لأ .. لأ ..
+
+284
+00:24:50,250 --> 00:24:50,650
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+285
+00:24:50,650 --> 00:24:50,710
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+286
+00:24:50,710 --> 00:24:50,990
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+287
+00:24:50,990 --> 00:24:51,330
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+288
+00:24:51,330 --> 00:24:52,390
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+289
+00:24:52,390 --> 00:24:57,810
+لأ ..
+
+290
+00:24:57,810 --> 00:25:05,750
+لأ
+
+291
+00:25:06,890 --> 00:25:17,350
+ماذا نفعل؟ نضغط أيضًا على الـ Mod Value ماذا نفعل؟
+
+292
+00:25:17,350 --> 00:25:17,810
+نضغط أيضًا على الـ Mod Value ماذا نفعل؟ نضغط أيضًا
+
+293
+00:25:17,810 --> 00:25:18,410
+على الـ Mod Value ماذا نفعل؟ نضغط أيضًا على الـ
+
+294
+00:25:18,410 --> 00:25:20,030
+Mod Value ماذا نفعل؟ نضغط أيضًا على الـ Mod Value
+
+295
+00:25:20,030 --> 00:25:20,650
+ماذا نفعل؟ نضغط أيضًا على الـ Mod Value ماذا نفعل؟
+
+296
+00:25:20,650 --> 00:25:22,610
+نضغط أيضًا على الـ Mod Value ماذا نفعل؟ نضغط أيضًا
+
+297
+00:25:22,610 --> 00:25:25,430
+على الـ Mod Value ماذا نفعل؟ نضغط أيضًا على الـ
+
+298
+00:25:25,430 --> 00:25:29,570
+Mod Value ماذا نفعل؟ نضغط أيضًا على الـ Mod Value
+
+299
+00:25:29,570 --> 00:25:36,090
+ماذا نفعل؟ نضغط أيضًا على الـ Mod Value ماذا نأيش
+
+300
+00:25:36,090 --> 00:25:42,110
+قال ليه؟ حط الآن العنصر اللي مشاور عليه ب I في ال
+
+301
+00:25:42,110 --> 00:25:44,730
+run value هاي ال run value ايش العنصر اللي مشاور
+
+302
+00:25:44,730 --> 00:25:50,870
+عليه ب I؟ الخمسة و ال run length ابدأ من واحد
+
+303
+00:25:50,870 --> 00:25:57,730
+اعمله reset لواحد الآن خش على ال wild loop الصغيرة
+
+304
+00:25:57,730 --> 00:26:03,270
+شوف العنصر اللي بعده ال J الآن بدأ تشاور على مين؟
+
+305
+00:26:06,970 --> 00:26:10,790
+هل هي .. اه .. اه .. لسه ماوصلناش للنهاية هل ال I
+
+306
+00:26:10,790 --> 00:26:14,030
+زائد run of اللي هو ال J بساوي ال run value؟ اين
+
+307
+00:26:14,030 --> 00:26:19,690
+عم بيسوي؟ يعني بقى احنا لسه بداخل ال run ايش نسوي؟
+
+308
+00:26:19,690 --> 00:26:24,930
+increment مين؟ ايوة لأن صورنا شايفين عنصرين منه
+
+309
+00:26:24,930 --> 00:26:31,850
+بعدين؟ بعدين؟ اخش هنا؟ لأ لسه بدرجة على ال wire
+
+310
+00:26:31,850 --> 00:26:35,730
+loop هذي اكمل angle ال J على اللي بعده
+
+311
+00:26:38,360 --> 00:26:43,860
+هل أيضا ال run الاصل اللى راقف عليه في j أكبر
+
+312
+00:26:43,860 --> 00:26:50,820
+يساوي ال run value ايه نعم يبقى ايش زود ال run
+
+313
+00:26:50,820 --> 00:26:56,360
+length و بعدين ارجع تانى على رأس ال while عشان
+
+314
+00:26:56,360 --> 00:27:03,290
+ازود ال jالـ I زي الرقم لسه وصلنا لأو وصلنا لأشهر
+
+315
+00:27:03,290 --> 00:27:06,490
+الأخر هل الأنصار اللي احنا واقفين عليها يساوي ال
+
+316
+00:27:06,490 --> 00:27:08,370
+run value ال run value الخامس واللي انا واقفينه
+
+317
+00:27:08,370 --> 00:27:14,410
+على ستة لأ إذا ما بنعمل increment خلاص تلاتة باطلع
+
+318
+00:27:14,410 --> 00:27:17,850
+على ال F حل .. بقارن إيش هل ال run rate اللي أنا
+
+319
+00:27:17,850 --> 00:27:23,110
+معايا أكبر من ال frequency الحالية نعم فببدل ال
+
+320
+00:27:23,110 --> 00:27:30,520
+frequency و ببدل أيضا كمان ال run value بعدينهو
+
+321
+00:27:30,520 --> 00:27:38,640
+بانجل ال I إلى وين ال J واقف، بيصير I بتأشر عليها،
+
+322
+00:27:38,640 --> 00:27:43,460
+صح؟ ال I زائد ال run value، I كانت هنا واحد و ال
+
+323
+00:27:43,460 --> 00:27:49,240
+run value تلاتة واحد زائد تلاتة، اه أنا مخربط
+
+324
+00:27:49,240 --> 00:27:49,800
+بالأرقام
+
+325
+00:27:52,460 --> 00:27:57,320
+1 زائد ثلاثة اربعة Zero Iapsower هنا الان برجع على
+
+326
+00:27:57,320 --> 00:28:07,420
+ال loop الكبير عشان اعمل reset reset لل current
+
+327
+00:28:07,420 --> 00:28:11,900
+run اللي هي ال value دوسية ستة و ال length بيصير
+
+328
+00:28:11,900 --> 00:28:18,660
+واحد مظبوط الان بخل الجهة تأشر على اللي بعد
+
+329
+00:28:21,790 --> 00:28:27,530
+مختلف فبقارن بوقف ال run بقارن أكبر واحد من
+
+330
+00:28:27,530 --> 00:28:33,330
+التلاتة لأ فبقى أطلع على ال I للجديدة حاجة في هال
+
+331
+00:28:33,330 --> 00:28:37,230
+سبعة و لاجيها هنا اتنين المهم في الآخر بقى مخلص
+
+332
+00:28:37,230 --> 00:28:41,690
+بكون ال values اللي هنا هم النهائي الان هذا الكلام
+
+333
+00:28:41,690 --> 00:28:48,450
+اللي معجد في ال tracing جديش بياخد في ال execution
+
+334
+00:28:48,450 --> 00:28:50,050
+فعليا
+
+335
+00:28:52,070 --> 00:28:55,130
+عندي اللوب الكبيرة وعندي اللوب الصغيرة اللوب
+
+336
+00:28:55,130 --> 00:28:59,210
+الكبيرة بتمر عليهم كلهم كل واحد بتيجي في عنده
+
+337
+00:28:59,210 --> 00:29:03,010
+بتقارن
+
+338
+00:29:03,010 --> 00:29:09,030
+بيه مين اللي بعد نشوفهم زيه ولا لأ هتمسك ال I
+
+339
+00:29:09,030 --> 00:29:14,590
+الأولاني واتقارن مع حد هتلاقي إنه مش مشابه هتمتك
+
+340
+00:29:14,590 --> 00:29:18,350
+على خمسة واتقارن مع حد هتلاقي مشابه مش إشكال
+
+341
+00:29:18,350 --> 00:29:23,850
+هتقارن مع اللي بعدهوبعدين مع اللي بعده هتلاقي مش
+
+342
+00:29:23,850 --> 00:29:29,550
+مشابه هتطلع عدد مرات تنفيذ ال wild loops الداخلية
+
+343
+00:29:29,550 --> 00:29:35,730
+هذه هنا مرة هنا تلاتة هنا مرة هنا مرتين اجمالي
+
+344
+00:29:35,730 --> 00:29:45,030
+كده؟ في الآخر هي N في الآخر إن عدد يعني لأن حتى ..
+
+345
+00:29:46,310 --> 00:29:50,890
+هتجف على يدي في المعدونة؟ فإجمالي على .. وهي هذه
+
+346
+00:29:50,890 --> 00:29:54,790
+المقارنات اللي بتصير اللوب الخارجية مش أكتر من أنه
+
+347
+00:29:54,790 --> 00:29:59,910
+أنا قاعد بقفز من هنا ل .. من هذا لهذا بقال من هذا
+
+348
+00:29:59,910 --> 00:30:03,650
+بقفز على الست بقال من الست بقفز على السبعة صح؟
+
+349
+00:30:03,650 --> 00:30:07,150
+اللي بتتنفس فعليا هو ال one loop الداخلي و بتتنفس
+
+350
+00:30:07,150 --> 00:30:14,920
+بعدد ما مجموعه inيبقى in في الآخر loops الداخلية
+
+351
+00:30:14,920 --> 00:30:23,300
+نعم in يبقى كله ال algorithm ده كلها ال execution
+
+352
+00:30:23,300 --> 00:30:26,220
+تبعه execution تبع الصوت زي ال execution تبع
+
+353
+00:30:26,220 --> 00:30:32,160
+الكلام اللي هو اللي هو in يعني في الآخر
+
+354
+00:30:41,810 --> 00:30:51,230
+نفس الكلام اللي حكيناه قبل الـ T of N ثم T sort of
+
+355
+00:30:51,230 --> 00:31:00,310
+N زائد T برضه scan of N هذا N log N وهذا اتفقنا
+
+356
+00:31:00,310 --> 00:31:06,010
+انه N يبقى في الإجمالي N log N لان هذا الكلام
+
+357
+00:31:06,010 --> 00:31:09,550
+مافيه منه best case و worst case بيغضوا النظر
+
+358
+00:31:13,450 --> 00:31:18,930
+هما مرتبين بغض النظر أنهم جايين مختلفين و لا حتى
+
+359
+00:31:18,930 --> 00:31:23,950
+لو كانوا كلهم نفس العنصر هنرجع نلف عليهم كلهم فهي
+
+360
+00:31:23,950 --> 00:31:33,310
+big theta of N log N هل هذا أفضل من الأولانية؟
+
+361
+00:31:33,830 --> 00:31:38,370
+البرود فورس البرود فورس احنا ايش قلنا بدها in
+
+362
+00:31:38,370 --> 00:31:42,030
+square لإنها بدها تجرف عند كل عنصر و تفحص في ال
+
+363
+00:31:42,030 --> 00:31:47,210
+frequency list عنده ففي عملية فحص عند كل عنصر و
+
+364
+00:31:47,210 --> 00:31:50,370
+عملية الفحص هذه بتبدأ بواحد و بعدين يصير اتنين و
+
+365
+00:31:50,370 --> 00:31:54,770
+بعدين يصير تلاتة إلى خلف ال worst case طبعاالمثال
+
+366
+00:31:54,770 --> 00:31:58,430
+التالت سيرشينج لما انا اولا ذكرته حتى في بداية
+
+367
+00:31:58,430 --> 00:32:02,330
+الكلام لما انا عندي key و بده ابحث عن في ال array
+
+368
+00:32:02,330 --> 00:32:08,550
+هل موجود ولا لأ اذا ال array مش sorted بده امشي
+
+369
+00:32:08,550 --> 00:32:13,130
+sequential اذا بده اطبق اللي هو ال pre sorting
+
+370
+00:32:13,130 --> 00:32:16,590
+اللي هو ال simplification بعدين بعملها sorting لل
+
+371
+00:32:16,590 --> 00:32:21,430
+arrayو بعدين بروح .. بروح .. انا معايا مثلا نص و
+
+372
+00:32:21,430 --> 00:32:25,550
+تلاتة بروح على نص ال array هل التلاتة .. هل هدا
+
+373
+00:32:25,550 --> 00:32:28,890
+يساوي تلاتة؟ لأ أكبر منها يبقى بده أرجع أش جوة
+
+374
+00:32:28,890 --> 00:32:33,570
+برجع أش جوة برضه بنفس القليل أنه باخد ناش من النص
+
+375
+00:32:33,570 --> 00:32:39,810
+okay؟ الان عملية searching binary search ل array
+
+376
+00:32:39,810 --> 00:32:48,670
+كده ياخد؟login لأنه في كل مرة بزغر ال problem بزغر
+
+377
+00:32:48,670 --> 00:32:52,570
+ال problem إلى نص فال performance اللي هي login
+
+378
+00:32:52,570 --> 00:33:00,430
+مظبوط؟ طيب الآن إجمالي ال searching بطريقة
+
+379
+00:33:00,430 --> 00:33:02,890
+ال pre-sort أنه أنا بدي أعمل pre-sort في الأول
+
+380
+00:33:02,890 --> 00:33:03,910
+أصبحت
+
+381
+00:33:07,050 --> 00:33:11,610
+أصبحت الـ time تبع ال sorting زاد ال time تبع ال
+
+382
+00:33:11,610 --> 00:33:16,530
+searching هذا
+
+383
+00:33:16,530 --> 00:33:22,190
+كده صح؟
+
+384
+00:33:22,190 --> 00:33:26,690
+ال search ال binary search في قراي sorted log in و
+
+385
+00:33:26,690 --> 00:33:30,590
+ال sorting نفسه هو بيخد in login يبقى إجمالي in
+
+386
+00:33:30,590 --> 00:33:34,670
+loginطب انا لو بدأ اعمل بروت فورس مش هتاخد معايا
+
+387
+00:33:34,670 --> 00:33:39,810
+ان لغة ان هتاخد معايا ان لغة ان لغة ان لغة ان لغة
+
+388
+00:33:39,810 --> 00:33:47,610
+ان لغة
+
+389
+00:33:47,610 --> 00:33:48,330
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+390
+00:33:48,330 --> 00:33:49,190
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+391
+00:33:49,190 --> 00:33:49,210
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+392
+00:33:49,210 --> 00:33:57,110
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+393
+00:33:57,110 --> 00:34:00,680
+ان لغةإن أنا عملت transformation لل input حولته
+
+394
+00:34:00,680 --> 00:34:05,220
+إلى sorted كلفني أكتر من لو بدى أشتغل brute force
+
+395
+00:34:05,220 --> 00:34:11,860
+لأ أبقى بال brute force أحسن okay فإحنا في حالات
+
+396
+00:34:11,860 --> 00:34:16,740
+في تطبيقات عديدة بيكون ال pre sorting بيحسن في
+
+397
+00:34:16,740 --> 00:34:23,120
+الأداء ولكن في حالات زي هذه بيكون تكلفة أو أبقى
+
+398
+00:34:23,120 --> 00:34:29,270
+ضعفةعموما هذا هو نهاية ال section الأول سكشن واحد
+
+399
+00:34:29,270 --> 00:34:32,590
+ستة واحد المحاضرة الجاية ان شاء الله بنروح على ست
+
+400
+00:34:32,590 --> 00:34:37,930
+اتنين و بنطلع على النوع الثاني هذا كل الكلام اللي
+
+401
+00:34:37,930 --> 00:34:42,130
+حكيناه هو ال instance simplification بسطنا عملنا
+
+402
+00:34:42,130 --> 00:34:48,770
+تحويل على ال input جعله أبسط من ال input الأصلي
+
+403
+00:34:48,770 --> 00:34:54,070
+المرة الجاية بنطلع على representation changeيعطيكم
+
+404
+00:34:54,070 --> 00:34:54,510
+العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/YRzzYLC6X10_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/YRzzYLC6X10_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b36f664da3cf33197369dafacc1e7cd1c4c59cc1
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/YRzzYLC6X10_raw.srt
@@ -0,0 +1,1628 @@
+1
+00:00:20,700 --> 00:00:23,360
+ماشي الحال بسم الله الرحمن الرحيم الصلاة والسلام
+
+2
+00:00:23,360 --> 00:00:26,960
+على أشرف المرسلين اليوم ان شاء الله احنا بنبدأ في
+
+3
+00:00:26,960 --> 00:00:30,820
+النوع التالت من تجزئة ال problem اللي هو ال
+
+4
+00:00:30,820 --> 00:00:34,380
+transform and conquer كنا في المحاضرات الماضية
+
+5
+00:00:34,380 --> 00:00:38,500
+حكينا في ال decrease and conquer و بعدين chapter
+
+6
+00:00:38,500 --> 00:00:41,800
+خمسة divide and conquer الآن في chapter ستة
+
+7
+00:00:41,800 --> 00:00:47,870
+transform and conquerالمحاضرة هذه ستظهر على واحد
+
+8
+00:00:47,870 --> 00:00:50,890
+من أنواع الـTransform الـTransform أن كان فيه تلت
+
+9
+00:00:50,890 --> 00:00:56,650
+أنواع اللي هو الـInstance Simplification و
+
+10
+00:00:56,650 --> 00:01:01,470
+الـRepresentation Change و Problem Reduction قبل
+
+11
+00:01:01,470 --> 00:01:04,690
+أن ندخل في إيش هذه المصطلحات معناتها سنظهر على
+
+12
+00:01:04,690 --> 00:01:09,350
+مثال أو عدة أمثلة من النوع الأول من خلال هذه
+
+13
+00:01:09,350 --> 00:01:12,190
+الأمثلة سنفهم إيش يعني Instant Simplification
+
+14
+00:01:13,030 --> 00:01:17,590
+والانواع التانية بيش بنفهمها برضه من الأمثل اللي
+
+15
+00:01:17,590 --> 00:01:21,350
+هي تبعتها في المحاضرات الجاي المهم القاسم المشترك
+
+16
+00:01:21,350 --> 00:01:24,490
+بين تلات أنواع هدولة ان احنا بنعمل some kind of
+
+17
+00:01:24,490 --> 00:01:29,590
+transformation على ال input غالبا أو أحيانا على ال
+
+18
+00:01:29,590 --> 00:01:35,370
+problem من أجل تحويله ال input هذا إلى صيغة أخرى
+
+19
+00:01:35,370 --> 00:01:41,280
+يسهل التعامل معاهابالتحديد الـ Instance
+
+20
+00:01:41,280 --> 00:01:45,720
+Simplification هو أكثر مثال مباشرة على هذا المفهوم
+
+21
+00:01:45,720 --> 00:01:52,180
+مفهوم إعادة صياغة ال input بشكل أبسط اللي ال
+
+22
+00:01:52,180 --> 00:01:57,660
+algorithm تقدر تتعامل معاه أسرع خلّيني أطلع على
+
+23
+00:01:57,660 --> 00:02:04,900
+الأمثلة اللي عندنا في موضوع ال pre sorting هوتحت
+
+24
+00:02:04,900 --> 00:02:11,640
+هذا المصطلح بتيجي عدد من المسائل اللي تتطلب pre
+
+25
+00:02:11,640 --> 00:02:15,640
+sorting يعني المسائل هذه ال input تبعها عبارة عن
+
+26
+00:02:15,640 --> 00:02:20,740
+array او set يعني مجموعة عاوزين نعمل شغل على هذه
+
+27
+00:02:20,740 --> 00:02:22,300
+المجموعة نطلع شيء معين
+
+28
+00:02:25,030 --> 00:02:29,350
+الـ Instant Simplification في هذه الحالة معناته
+
+29
+00:02:29,350 --> 00:02:37,050
+اننا نرتب المجموعة هذه قبل ما نتناولها عشان نحل
+
+30
+00:02:37,050 --> 00:02:43,050
+المسألة المطلوبة مننا يعني مثلا ال searching انا
+
+31
+00:02:43,050 --> 00:02:48,070
+بدأ ابحث عن عنصر في array إذا ال array مرتبة أصلا
+
+32
+00:02:48,070 --> 00:02:53,180
+تبقى أبسط من لو ال array مش مرتبة صح؟ولا لأ اذا ال
+
+33
+00:02:53,180 --> 00:02:56,640
+array مرتبة انا ممكن اروح على نص ال array و اقارن
+
+34
+00:02:56,640 --> 00:03:03,590
+بهذا العنصر اللي في النصوإذا الانصر أكبر من اللي
+
+35
+00:03:03,590 --> 00:03:08,370
+معايا، بأرجع، إذا الانصر أصغر من اللي معايا، بجدم،
+
+36
+00:03:08,370 --> 00:03:14,430
+صح؟ فمسألة البحث أصبحت أبسط في ظلم أن الارواح كانت
+
+37
+00:03:14,430 --> 00:03:19,390
+مرتبة فهنا نحن في الـ Pre-Sorting بعمل
+
+38
+00:03:19,390 --> 00:03:22,570
+Simplification للإنستنس، إن الانستنس مقصود بيها ال
+
+39
+00:03:22,570 --> 00:03:27,160
+input يعنيالـ input فخلّيني أطلع على بعض الأمثلة
+
+40
+00:03:27,160 --> 00:03:33,360
+اللي تقع تحت القالية الـ pre-sorting و بنقول الـ
+
+41
+00:03:33,360 --> 00:03:37,300
+pre-sorting هي مثال على الـ instance
+
+42
+00:03:37,300 --> 00:03:44,050
+simplificationأول اشي الصورتنج الصورتنج بصفة عامة
+
+43
+00:03:44,050 --> 00:03:47,070
+في تكنيكز مختلفة للصورتنج يعني لما بدأ أخد array
+
+44
+00:03:47,070 --> 00:03:51,190
+عشان أشتغل عليها أو أروح و أجوب و أرتبها في الأول
+
+45
+00:03:51,190 --> 00:03:55,310
+في عندي هدت بدائل فاحنا بالمجمل بدنا نتفق على ان
+
+46
+00:03:55,310 --> 00:03:59,850
+ال performance تبع الصورتنج هيكون افضل اشي in
+
+47
+00:03:59,850 --> 00:04:04,050
+login تمام؟ in login بمعنى انه الآن انا لما بدي
+
+48
+00:04:04,050 --> 00:04:11,990
+احسب التكلفة الاجماليةبدأ أقول ال sorting جديش كلف
+
+49
+00:04:11,990 --> 00:04:15,930
+والشغل الإضافي اللي عملناه بعد ال sorting جديش كلف
+
+50
+00:04:15,930 --> 00:04:20,290
+فنجمع الاتنين okay فبنجمع الاتنين على أساس أن
+
+51
+00:04:20,290 --> 00:04:28,150
+الأولاني اللي هو ال sorting بيكلف in login timeطيب
+
+52
+00:04:28,150 --> 00:04:32,050
+ليش اللي عندنا الأمثلة؟ في عندي مثال بسيط اللي هو
+
+53
+00:04:32,050 --> 00:04:35,470
+شفناه قبلك ال uniqueness لما نكون في عندي مجموعة
+
+54
+00:04:35,470 --> 00:04:40,970
+مخزنة في array و بدأ أسأل السؤال هل المجموعة هذه
+
+55
+00:04:40,970 --> 00:04:46,550
+distinct ولا لأ؟ هل بتفرج لو كانت المجموعة هذه
+
+56
+00:04:46,550 --> 00:04:52,390
+sorted ولا لأ؟ أعتقد بتفرج بس خلّيني أجابل احنا
+
+57
+00:04:52,390 --> 00:04:54,730
+لما اتعاملنا مع المسألة اللي قبلك اتعاملنا معاها
+
+58
+00:04:55,670 --> 00:05:00,070
+Brute force، صح؟ تتذكروا كيف كانت بدون pre
+
+59
+00:05:00,070 --> 00:05:03,670
+-sorting، بدون pre-sorting، كيف كانت القالية ال ..
+
+60
+00:05:03,670 --> 00:05:08,510
+القالية ال algorithm؟ انه خلّيني أخد مثال اللي هو
+
+61
+00:05:08,510 --> 00:05:15,910
+هذه ال list، خمسة، واحد،
+
+62
+00:05:15,910 --> 00:05:23,810
+خمسة، طبعا هذه القرية مش distinct، مش distinctكنا
+
+63
+00:05:23,810 --> 00:05:27,630
+بنجي بنقول .. خدنا نرجع تاني على ال example كنا
+
+64
+00:05:27,630 --> 00:05:31,490
+بنجي بنقول .. بجف على الانصار الأولاني و بقارنه
+
+65
+00:05:31,490 --> 00:05:37,390
+بالعواصف الباجين كلهم إذا لجيت واحد يساوي .. يبقى
+
+66
+00:05:37,390 --> 00:05:43,240
+مش distinct و بانهيإذا لم أجد أي شخص بيساوي، فأنا
+
+67
+00:05:43,240 --> 00:05:47,320
+أعرف إن هذا الشخص التاني لديه واحد من الباقين،
+
+68
+00:05:47,320 --> 00:05:51,200
+فأقوم باللف عليهم كل أنصار و بجف عليه و بقارنه
+
+69
+00:05:51,200 --> 00:05:55,720
+بالباقين، اللي بعده بجف عليه و بقارنه بالباقين،
+
+70
+00:05:55,720 --> 00:06:01,640
+مظبوط؟ هذا ال approach لحل مسألة ال uniqueness،
+
+71
+00:06:01,640 --> 00:06:05,060
+صح؟ لو الأن بدنا نعملها على أساس pre sorting
+
+72
+00:06:05,060 --> 00:06:11,400
+أولاً،فبنيجي و بنقول الارهد خلينا نرتبها، و إيش
+
+73
+00:06:11,400 --> 00:06:16,440
+ضال بعد ما ترتبت؟ هتترتبوا السير، واحد، خمسة،
+
+74
+00:06:16,440 --> 00:06:22,880
+خمسة، خمسة، ستة، سبعة، سبعة، أصبحت المثل الأن أقصد
+
+75
+00:06:22,880 --> 00:06:28,710
+بكتيربقدر استخدم ال approach اللي الساذج خلينا
+
+76
+00:06:28,710 --> 00:06:32,730
+نقول اللي هو أنه أقارن كل أنصر بس باللي بعده،
+
+77
+00:06:32,730 --> 00:06:35,770
+ذاكرين لما احنا حكينا في الموضوع هذا من البداية،
+
+78
+00:06:35,770 --> 00:06:38,830
+كنا قولنا هل بيظبط أنه .. لو بديش اعمل .. لو هنا
+
+79
+00:06:38,830 --> 00:06:41,430
+.. حتى و هي مش مرتبة يعني، هل بيظبط ان اقارن
+
+80
+00:06:41,430 --> 00:06:46,320
+الخمسة بالواحد؟الواحد بالخمسة لخمسة سبع مايظبطش
+
+81
+00:06:46,320 --> 00:06:51,160
+لأن إذا هذا و الله مش يساوي هذا و هذا يساوي هذا لأ
+
+82
+00:06:51,160 --> 00:06:55,460
+طب عادي هذا بساوي الأنصار البعيد هذا مظبوط فال ..
+
+83
+00:06:55,460 --> 00:06:59,440
+المنهجية ال .. أو الطريقة الساذجة هذه مابتظبطش إذا
+
+84
+00:06:59,440 --> 00:07:02,820
+هي .. إنها مابتظبط و هي مرتبة ولا لأ يعني أنا هنا
+
+85
+00:07:02,820 --> 00:07:07,020
+بعد ما اترتبت بقدر ببساطة شديدة أجي أقول لو في
+
+86
+00:07:07,020 --> 00:07:13,180
+عندي اتنين جان بعض بيسووا بعض يبقى هيو إذا مافيش
+
+87
+00:07:13,180 --> 00:07:17,640
+شيء يبقى هي unique
+
+88
+00:07:17,640 --> 00:07:22,200
+لأنه بعد ما ترتبت إذا فيه اتنين يساوي بعض هيجي جان
+
+89
+00:07:22,200 --> 00:07:27,560
+بعض، صح؟ بعد ما ترتبت، إذا فيه اتنين بيساوي بعض،
+
+90
+00:07:27,560 --> 00:07:31,060
+هيكون حتما أجي جان بعض، فلما أنا بقارن بس على
+
+91
+00:07:31,060 --> 00:07:34,360
+المجاورين، كل واحد و اللي مجاوره، هقدر اكتشف إذا
+
+92
+00:07:34,360 --> 00:07:39,420
+فيه ..تكرر ولا لأ؟ صح؟ فهنا أجهزة الـ pre-sorting
+
+93
+00:07:39,420 --> 00:07:41,280
+.. أجهزة الـ pre-sorting .. أنه احنا عملنا القرية
+
+94
+00:07:41,280 --> 00:07:47,080
+.. عملناها ترتيب .. و بعدين اشتغلنا بإيش .. ببساطة
+
+95
+00:07:47,080 --> 00:07:49,700
+.. انه نقرنها .. ده أجهزة الـ pre-sort كنوع من الـ
+
+96
+00:07:49,700 --> 00:07:52,380
+simplification لمين .. لل input .. ال problem
+
+97
+00:07:52,380 --> 00:07:56,170
+دلوقتي هي .. هي .. هي .. بس هنا بسطنا لل inputبدل
+
+98
+00:07:56,170 --> 00:07:58,830
+ما كان مش مرتّب، رتّب نصر أسهل على الـ Algorithm
+
+99
+00:07:58,830 --> 00:08:03,790
+بتعمل بس مقارنة بسيطة هناك في ال brute force كانت
+
+100
+00:08:03,790 --> 00:08:07,230
+بتعمل مقارنة مُركّبة يعني بتيجي في عدد واحد و
+
+101
+00:08:07,230 --> 00:08:09,390
+بتقارن مع كل اللي بعده، اللي بعده و مع كل اللي
+
+102
+00:08:09,390 --> 00:08:15,150
+بعده، مظبوط؟ هنا مجرد مقارنة، كل اتنين جانب بعض، و
+
+103
+00:08:15,150 --> 00:08:18,110
+.. و .. و إيه؟ الآن لو أنا طلع ال complexity تبعت
+
+104
+00:08:18,110 --> 00:08:26,060
+اللي هوتبعت ال problem ككل في ظلم أننا جزّقناها
+
+105
+00:08:26,060 --> 00:08:30,460
+إلى pre-sorting ثم checking صار في عندي ال total
+
+106
+00:08:30,460 --> 00:08:36,040
+time ال total time هو ال time تبع ال sorting زاد
+
+107
+00:08:36,040 --> 00:08:39,380
+ال time تبع ال scanning ال scanning انه نقارن كل
+
+108
+00:08:39,380 --> 00:08:46,500
+اتنين هذا احنا متفقين من الجبل على انه dictate of
+
+109
+00:08:46,500 --> 00:08:54,270
+n log n في المتوسط هيبقى هذاهنستخدم sorting
+
+110
+00:08:54,270 --> 00:08:59,850
+مايزيدش عن ال in log in طيب ال scan جداش ال
+
+111
+00:08:59,850 --> 00:09:05,510
+complexity تبعتها in لأنه في أسوأ الأحوال همشي أنا
+
+112
+00:09:05,510 --> 00:09:09,770
+عش عليهم كلهم لحد ديت ربما في الآخر أكتشف أو
+
+113
+00:09:09,770 --> 00:09:17,090
+مايطلعوا مافيش تشابه ففي الإجمالي في الإجمالي
+
+114
+00:09:17,090 --> 00:09:18,350
+هتبقى
+
+115
+00:09:20,110 --> 00:09:25,050
+ن و احنا متفقين مسبقا من بداية الفصل انه في عندي
+
+116
+00:09:25,050 --> 00:09:28,770
+ال algorithm ال complexity تبعتها هي حاصل دمج بين
+
+117
+00:09:28,770 --> 00:09:34,250
+two complexities باخد ال higher order اللي هي هنا
+
+118
+00:09:34,250 --> 00:09:38,010
+ال mean ال n log n أكبر من ال n صح؟ فال complexity
+
+119
+00:09:38,010 --> 00:09:45,490
+الإجمالية تبعت هذا ال approach هي n log n ثتا ال n
+
+120
+00:09:45,490 --> 00:09:49,410
+هذا أفضل من ال .. نعم؟
+
+121
+00:09:51,430 --> 00:09:58,130
+هيبقى عنا ايش؟ two four هيبقى عنا ايش؟ نرجع
+
+122
+00:09:58,130 --> 00:10:04,610
+تانى هيعني في الأول فيه ال sort هذه هتتم كعملية
+
+123
+00:10:04,610 --> 00:10:11,730
+مسبقة pre و سوء بس عملية ال scan هذه اه همشي زيك
+
+124
+00:10:11,730 --> 00:10:18,210
+معايا انصرين واحد مع الخمسة خمسة مع الخمسة تمام
+
+125
+00:10:18,210 --> 00:10:26,750
+همشي منI بيساوي Zero ل N نقص اتنين لما
+
+126
+00:10:26,750 --> 00:10:34,670
+اصل لهذا بقارنه مع اللي بعده فهذا ال scan مالوش
+
+127
+00:10:34,670 --> 00:10:39,270
+له داخلية بس انا كل واحد و جاره بقارن هذا بقارنه
+
+128
+00:10:39,270 --> 00:10:43,820
+مع جاره هذا مع جارهصح هذا الـ pointer بيشير إلى I
+
+129
+00:10:43,820 --> 00:10:48,560
+plus one هذا I و هذا I plus one الان انتقلت هذا
+
+130
+00:10:48,560 --> 00:10:53,140
+دايما صح مظموط
+
+131
+00:10:53,140 --> 00:10:58,000
+و لا فيعني الان هذه ال scam هتمشي N number of
+
+132
+00:10:58,000 --> 00:11:04,620
+times okay الان هذا افضل ولا مش افضل السؤال بقارنة
+
+133
+00:11:04,620 --> 00:11:07,460
+مع مين اذا بقارن مع ال brute force ال brute force
+
+134
+00:11:07,460 --> 00:11:13,320
+كانت ايش قلنا احنا N squareلأن مجموعة من ال loops
+
+135
+00:11:13,320 --> 00:11:17,760
+تتناقص عددها تبدأ من N نقص واحد و تتنقص تنقص تنقص
+
+136
+00:11:17,760 --> 00:11:21,560
+لما آخر loop تبقى one فهذه المجموعة من ال loops
+
+137
+00:11:21,560 --> 00:11:25,480
+عدد مراتها N ضرب N نقص واحد على اتنين اللي هو
+
+138
+00:11:25,480 --> 00:11:28,840
+complexity N square N square أحسن ولا N log N
+
+139
+00:11:28,840 --> 00:11:34,040
+أحسن؟انه جدا احسن، تمام؟ فهذا الآن .. هذا عبارة عن
+
+140
+00:11:34,040 --> 00:11:39,500
+تحالة مسألة اللي هو ال .. ال uniqueness باستخدام
+
+141
+00:11:39,500 --> 00:11:42,160
+ال pre-sorting، ال pre-sorting عمل ليه
+
+142
+00:11:42,160 --> 00:11:47,140
+simplification لل input عشان يصير ال .. عشان ال ..
+
+143
+00:11:47,140 --> 00:11:50,580
+ال .. ال algorithm تقدر تعمل معاه بسهولة، حالة ال
+
+144
+00:11:50,580 --> 00:11:54,080
+.. ال pre-sorting حسن الأداء؟ أي نعمالثالث تاني
+
+145
+00:11:54,080 --> 00:12:00,800
+اللي هو ال computing ال mode مارش علينا حل زي هيك
+
+146
+00:12:00,800 --> 00:12:05,300
+في المادة هذه انه مثلا ايش ال mode هنا؟ ال mode
+
+147
+00:12:05,300 --> 00:12:10,160
+غير عن ال mod ال mod اللي هو باقي القسمة ال mode
+
+148
+00:12:10,160 --> 00:12:13,480
+هو لما يوجه في هذه مجموعة زي هذه نفس المجموعة
+
+149
+00:12:13,480 --> 00:12:17,380
+السؤال هو مين العنصر اللي بتكرر اكتر من ال .. من
+
+150
+00:12:17,380 --> 00:12:21,980
+ال .. من ال geo الخامسةالخامسة بيه هنا بتكرر تلت
+
+151
+00:12:21,980 --> 00:12:25,560
+مرات، السبعة مرتين، الستة والواحد كل واحد مرة،
+
+152
+00:12:25,560 --> 00:12:30,380
+الان ال computing ال mode يعني طلعلي مين العنصر ..
+
+153
+00:12:30,380 --> 00:12:34,640
+بديش عدد مرات تكراره، مش هو هذا المطلوب، المطلوب
+
+154
+00:12:34,640 --> 00:12:40,780
+مين العنصر بتكرر أكتر شيء، الان لو احنا بدنا برضه
+
+155
+00:12:40,780 --> 00:12:43,460
+كمان نشوف ال brute force كيف ممكن نتعامل مع حد
+
+156
+00:12:43,460 --> 00:12:48,590
+مثلا، ايش بنعمل؟كيف احنا ممكن .. مش .. مش .. مش
+
+157
+00:12:48,590 --> 00:12:53,710
+transform and conquer مش pre sorting brute force
+
+158
+00:12:53,710 --> 00:12:58,130
+brute force انا حد بتقترح .. حد عنده فكرة عن كيف
+
+159
+00:12:58,130 --> 00:13:03,670
+.. كيف بده انا اكتشف العنصر اللي بيتكرر اكتر من
+
+160
+00:13:03,670 --> 00:13:10,670
+غيره في
+
+161
+00:13:10,670 --> 00:13:15,080
+عندك هي كلمة ال sir compute ال frequencyلو جينا
+
+162
+00:13:15,080 --> 00:13:17,940
+قولنا إيش يعني ال frequency يعني عدد مرات التكرار
+
+163
+00:13:17,940 --> 00:13:22,700
+ممكن نيجي نقول و الله هي طبعا بنتعامل معاها قبل
+
+164
+00:13:22,700 --> 00:13:27,620
+ترتيبها بدون pre sorting نيجي بنجي فعلا العنصر كل
+
+165
+00:13:27,620 --> 00:13:32,600
+عنصر من العنصر ال array و بنسجل عدد مرات تكراره
+
+166
+00:13:32,600 --> 00:13:39,360
+okayالخامسة خلّينا في الأول القرية تبقى تبقى لسه
+
+167
+00:13:39,360 --> 00:13:44,380
+element واحد الخامسة عدد مرات تكرارها واحد وجفنا
+
+168
+00:13:44,380 --> 00:13:47,480
+الآن على الواحد الواحد موجود في هذه لأ مش موجود
+
+169
+00:13:47,480 --> 00:13:53,780
+فبنضيف عنصر جديد وعدد مرات تكراره واحد الخامسة
+
+170
+00:13:53,780 --> 00:13:58,960
+موجود في هذه ايه نعم موجود فبنعمل increment
+
+171
+00:13:58,960 --> 00:14:01,960
+السابعة
+
+172
+00:14:02,690 --> 00:14:09,130
+موجود لأ مش موجود فبنضيفه الستة مش موجود بنضيفه
+
+173
+00:14:09,130 --> 00:14:16,270
+الخمسة موجود أين عام فالثلاثة السبعة موجود فبصير
+
+174
+00:14:16,270 --> 00:14:21,310
+اتنين هذه ال array نبحث فيها عن ال frequency
+
+175
+00:14:21,310 --> 00:14:29,930
+الأعلى وبنطلع صاحب هذه ال frequency الأعلى هذا
+
+176
+00:14:29,930 --> 00:14:34,910
+brute forceبروت فورس approach هذا ايش هيكلفني؟
+
+177
+00:14:34,910 --> 00:14:38,530
+هيكلفني ان انا لف على كل هنصر و كل هنصر اروح اعمل
+
+178
+00:14:38,530 --> 00:14:46,050
+بحث عنه في هذه ال list موجود بروح بعمل increment
+
+179
+00:14:46,050 --> 00:14:53,590
+مش موجود فبوضيفه ب initial value oneوين ال worst
+
+180
+00:14:53,590 --> 00:14:56,730
+case في الموضوع هذا؟ وين ال best case؟ عشان نطلع
+
+181
+00:14:56,730 --> 00:15:01,990
+ال best case ان الأرقام كلها تبجها نفس العنصر،
+
+182
+00:15:01,990 --> 00:15:07,590
+خمسة، تخلى لي خمسةو اجي انا هنا اعمل خمسة و كل مرة
+
+183
+00:15:07,590 --> 00:15:12,870
+اجي اعمل increment مااضيفش حاجة فانا يعني عملية
+
+184
+00:15:12,870 --> 00:15:17,170
+البحث هذه تقريبا التغت لأن انا بابحث مرة واحدة
+
+185
+00:15:17,170 --> 00:15:20,250
+بطلع اللي هو اه خمسة برا بعمل increment للمرة اللي
+
+186
+00:15:20,250 --> 00:15:24,150
+بعدها خمسة انا اعمل increment فبسير انا لافف على
+
+187
+00:15:24,150 --> 00:15:28,370
+القرية هذه عدد n من المرات و في كل مرة اعمل
+
+188
+00:15:28,370 --> 00:15:31,990
+comparison واحدة و مكتشف ان هو العنصر اللي معايا
+
+189
+00:15:31,990 --> 00:15:35,830
+هو نفسه اللي هنا و اعمل incrementيبقى in هذا ال
+
+190
+00:15:35,830 --> 00:15:42,390
+best case ال worst case انهم كلهم مختلفين ولا واحد
+
+191
+00:15:42,390 --> 00:15:48,870
+منهم مكرر كلهم مختلفين كلهم يبقى distinct يعني
+
+192
+00:15:48,870 --> 00:15:55,470
+بعضار أخرى في هذا الحالة هشوف هحط
+
+193
+00:15:55,470 --> 00:16:01,110
+اشي تاني قول مثلا أنصر من واحد عجب
+
+194
+00:16:01,110 --> 00:16:08,380
+الواحد مش موجود في عملهالتنين مش موجود فعمله طبعا
+
+195
+00:16:08,380 --> 00:16:12,700
+كيف عرفت انه مش موجود قرنت تلاتة بدور مش موجود
+
+196
+00:16:12,700 --> 00:16:19,920
+بعمله الأربع بدور مش موجود بعمله تمام؟ والخمس كذلك
+
+197
+00:16:19,920 --> 00:16:30,150
+والست كذلك صح؟ يعني أنا في كل أنصر عملت عدد إيش؟من
+
+198
+00:16:30,150 --> 00:16:33,170
+المقارنات الوانصر الأول عادل وقعدت مقارنة واحد
+
+199
+00:16:33,170 --> 00:16:36,270
+الوانصر التاني عملت مقارنتين او لا الوانصر الأول
+
+200
+00:16:36,270 --> 00:16:42,170
+zero التاني واحد التالت تلت مقارنات زي جثة اللي هو
+
+201
+00:16:42,170 --> 00:16:48,370
+ال loops اللي بتتناقص او بتتزايد من zero إلى N
+
+202
+00:16:48,370 --> 00:16:52,230
+ناقص واحد او N ناقص اتنين او اتنين ستة فال complex
+
+203
+00:16:52,230 --> 00:16:59,110
+التابعة N square okay الان هذه المفروض ايش big O
+
+204
+00:17:07,140 --> 00:17:12,420
+البرود فورس ابروش هذا في ال worst case n² فاحنا
+
+205
+00:17:12,420 --> 00:17:16,760
+بدنا اشي افضل من هيك هل ال pre sorting ممكن يعطيلي
+
+206
+00:17:16,760 --> 00:17:20,320
+performance افضل خلنا نشوف لو ان ال array هذا
+
+207
+00:17:20,320 --> 00:17:20,740
+sorted
+
+208
+00:17:25,520 --> 00:17:29,340
+لو ان ال array هذه sorted انا الآن هستغنى ايضا عن
+
+209
+00:17:29,340 --> 00:17:35,860
+ال array تبع ال frequency هذه مش هحتاجها لأن في
+
+210
+00:17:35,860 --> 00:17:41,160
+طريقة اخرى افضل منها او بتغنين عنها يعنى خلينا
+
+211
+00:17:41,160 --> 00:17:47,640
+نطلع هذه بعد ما يهم ال sorting sorteded واحد
+
+212
+00:17:47,640 --> 00:17:53,480
+خمسة خمسة خمسة بعدين ستة بعدين سبعة سبعة
+
+213
+00:17:58,010 --> 00:18:01,190
+ما هي الان بعد ما هي sorted كيف ممكن اتعامل مع ال
+
+214
+00:18:01,190 --> 00:18:07,750
+problem بجف عليهم واحد من واحدة لآخر بشوف هذا
+
+215
+00:18:07,750 --> 00:18:11,870
+المنصج اديش تكرر هم هيبجوا ورا بعض التكرارات تبعه
+
+216
+00:18:11,870 --> 00:18:16,430
+هتبجى جاية ورا بعض هذا مرة واحدة هذا طيب اللي بعده
+
+217
+00:18:16,430 --> 00:18:21,150
+اه زيه اللي بعده اه زيه وكده ومجي بسجل تلاتة هذا
+
+218
+00:18:21,150 --> 00:18:26,170
+الآن اسف يعني بعد ما اشوف الستة هاكتشف انه هذه بس
+
+219
+00:18:26,170 --> 00:18:31,150
+تلاتة فهسجل تلاتةOkay فانا قاعد بامشي بحث عن ال
+
+220
+00:18:31,150 --> 00:18:36,630
+maximum .. ال maximum ايه ايش؟ frequency صح؟ هذا
+
+221
+00:18:36,630 --> 00:18:39,750
+الان .. هذا الان frequency في الأول هحطها ايش؟
+
+222
+00:18:39,750 --> 00:18:44,540
+Zeroالعصر الأولى يعني ال frequency بتبعته جداش one
+
+223
+00:18:44,540 --> 00:18:48,900
+فمشيل ال zero و بحط one الآن مشيت وجدت أن هذا
+
+224
+00:18:48,900 --> 00:18:52,600
+مختلف يبقى انتهت هذا يبقى الآن بدأت frequency
+
+225
+00:18:52,600 --> 00:18:58,020
+جديدة واحد اتنين تلاتة مشيت خلصنا يبقى لأ هذا أكتر
+
+226
+00:18:58,740 --> 00:19:03,800
+تلاتة الان تجلت على الستة امشيت وجيت المختلف يبقى
+
+227
+00:19:03,800 --> 00:19:08,580
+واحد يبقى مش اكتر من تلاتة بسبط التلاتة صح؟ بمشي
+
+228
+00:19:08,580 --> 00:19:14,000
+بها بالقاليل عموما هاي ال algorithm خلينا نطلع
+
+229
+00:19:14,000 --> 00:19:20,700
+عليها بشكل دقيق ان انا في عندي متغيرات اربعة اللي
+
+230
+00:19:20,700 --> 00:19:29,920
+هم في حالة اسمها ال mode value و ال modefrequency
+
+231
+00:19:29,920 --> 00:19:35,300
+وفي
+
+232
+00:19:35,300 --> 00:19:44,480
+ال run value وفي ال run length ال run هنا يقصد
+
+233
+00:19:44,480 --> 00:19:50,160
+بيها جداش
+
+234
+00:19:50,160 --> 00:19:59,090
+ال value بتكرر جداش بيمشي معانا في القرايةالـ
+
+235
+00:19:59,090 --> 00:20:03,530
+runLength هو طول
+
+236
+00:20:03,530 --> 00:20:09,930
+التكرار و الـ runValue هو قيمة التي تتكرر نفسنا
+
+237
+00:20:09,930 --> 00:20:15,410
+مبدأيا سنختار الـ Unresorted سنضع I على 0
+
+238
+00:20:21,260 --> 00:20:25,500
+وانشلاز الفريقونسي بـ 0 الموض فريقونسي والموض
+
+239
+00:20:25,500 --> 00:20:30,340
+فاليو الموض فاليو هو المطلب النهائي حيكون هو ال
+
+240
+00:20:30,340 --> 00:20:34,800
+value اللي موض فريقونسي تبعته maximum القيمة اللي
+
+241
+00:20:34,800 --> 00:20:38,740
+موض فريقونسي تبعتها maximum هي اللي بنرجحها ال
+
+242
+00:20:38,740 --> 00:20:43,280
+wild loop هذه بتمشي من I اللي هي من 0 لإن نقص واحد
+
+243
+00:20:43,280 --> 00:20:49,830
+لإن الأخيرفي كل عنصر بيبدأ تطلع على عنصر هذا جدّيش
+
+244
+00:20:49,830 --> 00:20:54,150
+ال value تبعه و ايش ال run تبعته جدّيش جدّيش بيمشي
+
+245
+00:20:54,150 --> 00:21:00,870
+فالان مبدئيا ال run length مبدئيا ال length بيساوي
+
+246
+00:21:00,870 --> 00:21:05,810
+واحد او احنا عنصر فهو موجود في طول واحد ال value
+
+247
+00:21:05,810 --> 00:21:12,830
+تبعه هو قيمته عند هنا واحد
+
+248
+00:21:17,010 --> 00:21:25,330
+بدأ أمشي الآن أشوف اللي بعده هل زيه و لا لأ طالب
+
+249
+00:21:25,330 --> 00:21:33,190
+أنه بشوف زيه فبدي إيش أزود ال run length عند أنا
+
+250
+00:21:33,190 --> 00:21:36,390
+الآن الواحد همشي على .. أبص على هذا الآن على اللي
+
+251
+00:21:36,390 --> 00:21:44,780
+بعده I plus one لاجته مختلف يبقى خلاصثبتت الرأي ان
+
+252
+00:21:44,780 --> 00:21:49,500
+هذا الواحد ماتكررش الا مرة واحدة المرة الواحدة هذه
+
+253
+00:21:49,500 --> 00:21:55,980
+هل هي اكبر من ال current frequency اي نعم بسجلها
+
+254
+00:21:55,980 --> 00:21:59,280
+وبنتقل
+
+255
+00:21:59,280 --> 00:22:05,680
+بعدها كعالمين على البعد لان قمت على الخمسة عيد نفس
+
+256
+00:22:05,680 --> 00:22:11,650
+الشيء اه بس قبل ال run value الان هو الخمسةو ال
+
+257
+00:22:11,650 --> 00:22:17,450
+run length تبقى واحد هبص على اللي بعده اللي بعده
+
+258
+00:22:17,450 --> 00:22:26,970
+زيه تمام بامشي على اللي بعده زيه بامشي على اللي
+
+259
+00:22:26,970 --> 00:22:31,730
+بعده مش زيه يبقى خلاص الخمسة هذه ال length تبعها
+
+260
+00:22:31,730 --> 00:22:40,430
+تلاتة تلاتة الأن أكبر من ال current أي نعمبسجل
+
+261
+00:22:40,430 --> 00:22:43,270
+تلاتة اه بانساش انه برضه ال value بحطه هنا فوق
+
+262
+00:22:43,270 --> 00:22:49,450
+نرجع لل algorithm في عندي ال while loop ال .. ال
+
+263
+00:22:49,450 --> 00:22:53,950
+while loop اللي برا اللي هي تبعت ال I ال while
+
+264
+00:22:53,950 --> 00:22:58,910
+loop اللي جوا اللي هي تبعت استكشاف طول الرم تبعت
+
+265
+00:22:58,910 --> 00:23:03,970
+هذا ال I okay هضلني امشي لغاية ما لاجي حاجة مختلفة
+
+266
+00:23:03,970 --> 00:23:06,410
+value مختلفة فهذه اللي بقول لي while
+
+267
+00:23:11,380 --> 00:23:17,660
+بحط قيمة الـ I هذا في الـ run value و ببدأ عداد ال
+
+268
+00:23:17,660 --> 00:23:23,700
+run بواحد عداد ال run بواحد فانا الآن بجف على I
+
+269
+00:23:23,700 --> 00:23:30,240
+زائد ال run length واحد خلينا نبدأ من البداية
+
+270
+00:23:30,240 --> 00:23:37,480
+بداية هون هذا شهد Zero وهذا الآن إيش مصير؟الـ Run
+
+271
+00:23:37,480 --> 00:23:41,260
+Length قال ليه؟ بتساوي واحد والـ Run Value بساوي
+
+272
+00:23:41,260 --> 00:23:45,500
+العصر اللي جوا اذا ما اخش على اللوب الداخلية I
+
+273
+00:23:45,500 --> 00:23:52,680
+زائد Run Length بسوا واحد I هي Zero الآن Zero زائد
+
+274
+00:23:52,680 --> 00:23:58,960
+واحد، واحد صارنا بتشارن الآن هنا هذا المقدار I
+
+275
+00:23:58,960 --> 00:24:04,760
+زائد Run Length اللي هو برضه هذا نفسه خليني أسميه
+
+276
+00:24:04,760 --> 00:24:13,000
+J، إيش رأيكوا؟خلّيني أعمل pointer هذا J الآن احنا
+
+277
+00:24:13,000 --> 00:24:21,120
+في I وهذا J بيشاور هنا I زائد run length 1 زائد I
+
+278
+00:24:21,120 --> 00:24:26,320
+اللي هي Zero ثم بيشاور هنا الآن عشان نفحص هل أقل
+
+279
+00:24:26,320 --> 00:24:30,520
+من نقص واحد؟ أه لسه احنا بعيدين عن نهاية القرية هل
+
+280
+00:24:30,520 --> 00:24:33,940
+يساوي ال run value؟ هل هذا اللي احنا واجهين عليه
+
+281
+00:24:33,940 --> 00:24:39,990
+يساوي ال run value؟ لأيقولوا له باري مش هنخشها هذا
+
+282
+00:24:39,990 --> 00:24:45,530
+الكلام مش هنعمله هنطلع لما نطلع أين بنرجع؟ على
+
+283
+00:24:45,530 --> 00:24:50,250
+وين؟ على هذه صح؟ مش هنرجع لسه .. لأ .. لأ .. لأ ..
+
+284
+00:24:50,250 --> 00:24:50,650
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+285
+00:24:50,650 --> 00:24:50,710
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+286
+00:24:50,710 --> 00:24:50,710
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+287
+00:24:50,710 --> 00:24:50,990
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+288
+00:24:50,990 --> 00:24:51,330
+لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ
+
+289
+00:24:51,330 --> 00:24:52,390
+.. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ .. لأ ..
+
+290
+00:24:52,390 --> 00:24:57,810
+لأ ..
+
+291
+00:24:57,810 --> 00:25:05,750
+لأ
+
+292
+00:25:06,890 --> 00:25:17,350
+ماذا نفعل؟ نضغط أيضًا على الـ Mod Value ماذا نفعل؟
+
+293
+00:25:17,350 --> 00:25:17,810
+نضغط أيضًا على الـ Mod Value ماذا نفعل؟ نضغط أيضًا
+
+294
+00:25:17,810 --> 00:25:18,410
+على الـ Mod Value ماذا نفعل؟ نضغط أيضًا على الـ
+
+295
+00:25:18,410 --> 00:25:20,030
+Mod Value ماذا نفعل؟ نضغط أيضًا على الـ Mod Value
+
+296
+00:25:20,030 --> 00:25:20,650
+ماذا نفعل؟ نضغط أيضًا على الـ Mod Value ماذا نفعل؟
+
+297
+00:25:20,650 --> 00:25:22,610
+نضغط أيضًا على الـ Mod Value ماذا نفعل؟ نضغط أيضًا
+
+298
+00:25:22,610 --> 00:25:25,430
+على الـ Mod Value ماذا نفعل؟ نضغط أيضًا على الـ
+
+299
+00:25:25,430 --> 00:25:29,570
+Mod Value ماذا نفعل؟ نضغط أيضًا على الـ Mod Value
+
+300
+00:25:29,570 --> 00:25:36,090
+ماذا نفعل؟ نضغط أيضًا على الـ Mod Value ماذا نأيش
+
+301
+00:25:36,090 --> 00:25:42,110
+قال ليه؟ حط الآن العنصر اللي مشاور عليه ب I في ال
+
+302
+00:25:42,110 --> 00:25:44,730
+run value هاي ال run value ايش العنصر اللي مشاور
+
+303
+00:25:44,730 --> 00:25:50,870
+عليه ب I؟ الخمسة و ال run length ابدأ من واحد
+
+304
+00:25:50,870 --> 00:25:57,730
+اعمله reset لواحد الآن خش على ال wild loop الصغيرة
+
+305
+00:25:57,730 --> 00:26:03,270
+شوف العنصر اللي بعده ال J الآن بدأ تشاور على مين؟
+
+306
+00:26:06,970 --> 00:26:10,790
+هل هي .. اه .. اه .. لسه ماوصلناش للنهاية هل ال I
+
+307
+00:26:10,790 --> 00:26:14,030
+زائد run of اللي هو ال J بساوي ال run value؟ اين
+
+308
+00:26:14,030 --> 00:26:19,690
+عم بيسوي؟ يعني بقى احنا لسه بداخل ال run ايش نسوي؟
+
+309
+00:26:19,690 --> 00:26:24,930
+increment مين؟ ايوة لأن صورنا شايفين عنصرين منه
+
+310
+00:26:24,930 --> 00:26:31,850
+بعدين؟ بعدين؟ اخش هنا؟ لأ لسه بدرجة على ال wire
+
+311
+00:26:31,850 --> 00:26:35,730
+loop هذي اكمل angle ال J على اللي بعده
+
+312
+00:26:38,360 --> 00:26:43,860
+هل أيضا ال run الاصل اللى راقف عليه في j أكبر
+
+313
+00:26:43,860 --> 00:26:50,820
+يساوي ال run value ايه نعم يبقى ايش زود ال run
+
+314
+00:26:50,820 --> 00:26:56,360
+length و بعدين ارجع تانى على رأس ال while عشان
+
+315
+00:26:56,360 --> 00:27:03,290
+ازود ال jالـ I زي الرقم لسه وصلنا لأو وصلنا لأشهر
+
+316
+00:27:03,290 --> 00:27:06,490
+الأخر هل الأنصار اللي احنا واقفين عليها يساوي ال
+
+317
+00:27:06,490 --> 00:27:08,370
+run value ال run value الخامس واللي انا واقفينه
+
+318
+00:27:08,370 --> 00:27:14,410
+على ستة لأ إذا ما بنعمل increment خلاص تلاتة باطلع
+
+319
+00:27:14,410 --> 00:27:17,850
+على ال F حل .. بقارن إيش هل ال run rate اللي أنا
+
+320
+00:27:17,850 --> 00:27:23,110
+معايا أكبر من ال frequency الحالية نعم فببدل ال
+
+321
+00:27:23,110 --> 00:27:30,520
+frequency و ببدل أيضا كمان ال run value بعدينهو
+
+322
+00:27:30,520 --> 00:27:38,640
+بانجل ال I إلى وين ال J واقف، بيصير I بتأشر عليها،
+
+323
+00:27:38,640 --> 00:27:43,460
+صح؟ ال I زائد ال run value، I كانت هنا واحد و ال
+
+324
+00:27:43,460 --> 00:27:49,240
+run value تلاتة واحد زائد تلاتة، اه أنا مخربط
+
+325
+00:27:49,240 --> 00:27:49,800
+بالأرقام
+
+326
+00:27:52,460 --> 00:27:57,320
+1 زائد ثلاثة اربعة Zero Iapsower هنا الان برجع على
+
+327
+00:27:57,320 --> 00:28:07,420
+ال loop الكبير عشان اعمل reset reset لل current
+
+328
+00:28:07,420 --> 00:28:11,900
+run اللي هي ال value دوسية ستة و ال length بيصير
+
+329
+00:28:11,900 --> 00:28:18,660
+واحد مظبوط الان بخل الجهة تأشر على اللي بعد
+
+330
+00:28:21,790 --> 00:28:27,530
+مختلف فبقارن بوقف ال run بقارن أكبر واحد من
+
+331
+00:28:27,530 --> 00:28:33,330
+التلاتة لأ فبقى أطلع على ال I للجديدة حاجة في هال
+
+332
+00:28:33,330 --> 00:28:37,230
+سبعة و لاجيها هنا اتنين المهم في الآخر بقى مخلص
+
+333
+00:28:37,230 --> 00:28:41,690
+بكون ال values اللي هنا هم النهائي الان هذا الكلام
+
+334
+00:28:41,690 --> 00:28:48,450
+اللي معجد في ال tracing جديش بياخد في ال execution
+
+335
+00:28:48,450 --> 00:28:50,050
+فعليا
+
+336
+00:28:52,070 --> 00:28:55,130
+عندي اللوب الكبيرة وعندي اللوب الصغيرة اللوب
+
+337
+00:28:55,130 --> 00:28:59,210
+الكبيرة بتمر عليهم كلهم كل واحد بتيجي في عنده
+
+338
+00:28:59,210 --> 00:29:03,010
+بتقارن
+
+339
+00:29:03,010 --> 00:29:09,030
+بيه مين اللي بعد نشوفهم زيه ولا لأ هتمسك ال I
+
+340
+00:29:09,030 --> 00:29:14,590
+الأولاني واتقارن مع حد هتلاقي إنه مش مشابه هتمتك
+
+341
+00:29:14,590 --> 00:29:18,350
+على خمسة واتقارن مع حد هتلاقي مشابه مش إشكال
+
+342
+00:29:18,350 --> 00:29:23,850
+هتقارن مع اللي بعدهوبعدين مع اللي بعده هتلاقي مش
+
+343
+00:29:23,850 --> 00:29:29,550
+مشابه هتطلع عدد مرات تنفيذ ال wild loops الداخلية
+
+344
+00:29:29,550 --> 00:29:35,730
+هذه هنا مرة هنا تلاتة هنا مرة هنا مرتين اجمالي
+
+345
+00:29:35,730 --> 00:29:45,030
+كده؟ في الآخر هي N في الآخر إن عدد يعني لأن حتى ..
+
+346
+00:29:46,310 --> 00:29:50,890
+هتجف على يدي في المعدونة؟ فإجمالي على .. وهي هذه
+
+347
+00:29:50,890 --> 00:29:54,790
+المقارنات اللي بتصير اللوب الخارجية مش أكتر من أنه
+
+348
+00:29:54,790 --> 00:29:59,910
+أنا قاعد بقفز من هنا ل .. من هذا لهذا بقال من هذا
+
+349
+00:29:59,910 --> 00:30:03,650
+بقفز على الست بقال من الست بقفز على السبعة صح؟
+
+350
+00:30:03,650 --> 00:30:07,150
+اللي بتتنفس فعليا هو ال one loop الداخلي و بتتنفس
+
+351
+00:30:07,150 --> 00:30:14,920
+بعدد ما مجموعه inيبقى in في الآخر loops الداخلية
+
+352
+00:30:14,920 --> 00:30:23,300
+نعم in يبقى كله ال algorithm ده كلها ال execution
+
+353
+00:30:23,300 --> 00:30:26,220
+تبعه execution تبع الصوت زي ال execution تبع
+
+354
+00:30:26,220 --> 00:30:32,160
+الكلام اللي هو اللي هو in يعني في الآخر
+
+355
+00:30:41,810 --> 00:30:51,230
+نفس الكلام اللي حكيناه قبل الـ T of N ثم T sort of
+
+356
+00:30:51,230 --> 00:31:00,310
+N زائد T برضه scan of N هذا N log N وهذا اتفقنا
+
+357
+00:31:00,310 --> 00:31:06,010
+انه N يبقى في الإجمالي N log N لان هذا الكلام
+
+358
+00:31:06,010 --> 00:31:09,550
+مافيه منه best case و worst case بيغضوا النظر
+
+359
+00:31:13,450 --> 00:31:18,930
+هما مرتبين بغض النظر أنهم جايين مختلفين و لا حتى
+
+360
+00:31:18,930 --> 00:31:23,950
+لو كانوا كلهم نفس العنصر هنرجع نلف عليهم كلهم فهي
+
+361
+00:31:23,950 --> 00:31:33,310
+big theta of N log N هل هذا أفضل من الأولانية؟
+
+362
+00:31:33,830 --> 00:31:38,370
+البرود فورس البرود فورس احنا ايش قلنا بدها in
+
+363
+00:31:38,370 --> 00:31:42,030
+square لإنها بدها تجرف عند كل عنصر و تفحص في ال
+
+364
+00:31:42,030 --> 00:31:47,210
+frequency list عنده ففي عملية فحص عند كل عنصر و
+
+365
+00:31:47,210 --> 00:31:50,370
+عملية الفحص هذه بتبدأ بواحد و بعدين يصير اتنين و
+
+366
+00:31:50,370 --> 00:31:54,770
+بعدين يصير تلاتة إلى خلف ال worst case طبعاالمثال
+
+367
+00:31:54,770 --> 00:31:58,430
+التالت سيرشينج لما انا اولا ذكرته حتى في بداية
+
+368
+00:31:58,430 --> 00:32:02,330
+الكلام لما انا عندي key و بده ابحث عن في ال array
+
+369
+00:32:02,330 --> 00:32:08,550
+هل موجود ولا لأ اذا ال array مش sorted بده امشي
+
+370
+00:32:08,550 --> 00:32:13,130
+sequential اذا بده اطبق اللي هو ال pre sorting
+
+371
+00:32:13,130 --> 00:32:16,590
+اللي هو ال simplification بعدين بعملها sorting لل
+
+372
+00:32:16,590 --> 00:32:21,430
+arrayو بعدين بروح .. بروح .. انا معايا مثلا نص و
+
+373
+00:32:21,430 --> 00:32:25,550
+تلاتة بروح على نص ال array هل التلاتة .. هل هدا
+
+374
+00:32:25,550 --> 00:32:28,890
+يساوي تلاتة؟ لأ أكبر منها يبقى بده أرجع أش جوة
+
+375
+00:32:28,890 --> 00:32:33,570
+برجع أش جوة برضه بنفس القليل أنه باخد ناش من النص
+
+376
+00:32:33,570 --> 00:32:39,810
+okay؟ الان عملية searching binary search ل array
+
+377
+00:32:39,810 --> 00:32:48,670
+كده ياخد؟login لأنه في كل مرة بزغر ال problem بزغر
+
+378
+00:32:48,670 --> 00:32:52,570
+ال problem إلى نص فال performance اللي هي login
+
+379
+00:32:52,570 --> 00:33:00,430
+مظبوط؟ طيب الآن إجمالي ال searching بطريقة
+
+380
+00:33:00,430 --> 00:33:02,890
+ال pre-sort أنه أنا بدي أعمل pre-sort في الأول
+
+381
+00:33:02,890 --> 00:33:03,910
+أصبحت
+
+382
+00:33:07,050 --> 00:33:11,610
+أصبحت الـ time تبع ال sorting زاد ال time تبع ال
+
+383
+00:33:11,610 --> 00:33:16,530
+searching هذا
+
+384
+00:33:16,530 --> 00:33:22,190
+كده صح؟
+
+385
+00:33:22,190 --> 00:33:26,690
+ال search ال binary search في قراي sorted log in و
+
+386
+00:33:26,690 --> 00:33:30,590
+ال sorting نفسه هو بيخد in login يبقى إجمالي in
+
+387
+00:33:30,590 --> 00:33:34,670
+loginطب انا لو بدأ اعمل بروت فورس مش هتاخد معايا
+
+388
+00:33:34,670 --> 00:33:39,810
+ان لغة ان هتاخد معايا ان لغة ان لغة ان لغة ان لغة
+
+389
+00:33:39,810 --> 00:33:47,610
+ان لغة
+
+390
+00:33:47,610 --> 00:33:48,330
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+391
+00:33:48,330 --> 00:33:49,190
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+392
+00:33:49,190 --> 00:33:49,190
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+393
+00:33:49,190 --> 00:33:49,190
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+394
+00:33:49,190 --> 00:33:49,210
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+395
+00:33:49,210 --> 00:33:57,110
+ان لغة ان لغة ان لغة ان لغة ان لغة ان لغة
+
+396
+00:33:57,110 --> 00:34:00,680
+ان لغةإن أنا عملت transformation لل input حولته
+
+397
+00:34:00,680 --> 00:34:05,220
+إلى sorted كلفني أكتر من لو بدى أشتغل brute force
+
+398
+00:34:05,220 --> 00:34:11,860
+لأ أبقى بال brute force أحسن okay فإحنا في حالات
+
+399
+00:34:11,860 --> 00:34:16,740
+في تطبيقات عديدة بيكون ال pre sorting بيحسن في
+
+400
+00:34:16,740 --> 00:34:23,120
+الأداء ولكن في حالات زي هذه بيكون تكلفة أو أبقى
+
+401
+00:34:23,120 --> 00:34:29,270
+ضعفةعموما هذا هو نهاية ال section الأول سكشن واحد
+
+402
+00:34:29,270 --> 00:34:32,590
+ستة واحد المحاضرة الجاية ان شاء الله بنروح على ست
+
+403
+00:34:32,590 --> 00:34:37,930
+اتنين و بنطلع على النوع الثاني هذا كل الكلام اللي
+
+404
+00:34:37,930 --> 00:34:42,130
+حكيناه هو ال instance simplification بسطنا عملنا
+
+405
+00:34:42,130 --> 00:34:48,770
+تحويل على ال input جعله أبسط من ال input الأصلي
+
+406
+00:34:48,770 --> 00:34:54,070
+المرة الجاية بنطلع على representation changeيعطيكم
+
+407
+00:34:54,070 --> 00:34:54,510
+العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/_iFe9Y-OLUY_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/_iFe9Y-OLUY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e8e6dc242b72eb91c619389a10e2ae3e04f2e13b
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/_iFe9Y-OLUY_postprocess.srt
@@ -0,0 +1,1500 @@
+1
+00:00:21,290 --> 00:00:23,530
+ماشي بسم الله الرحمن الرحيم الصلاة والسلام على
+
+2
+00:00:23,530 --> 00:00:28,310
+أشرف المرسلين طبعا في البداية برحب فيكم من بعد عيد
+
+3
+00:00:28,310 --> 00:00:33,910
+الأضحى كلهم أنت بخير المحاضرة هي دي بنوفي فيها ان
+
+4
+00:00:33,910 --> 00:00:37,250
+شاء الله أخر محاضرة كنا بنحكي عن ال big O notation
+
+5
+00:00:38,900 --> 00:00:42,820
+و بعد هيك على طول بننتقل ل ال mathematical
+
+6
+00:00:42,820 --> 00:00:47,880
+analysis لل recursive algorithms كنا خلصنا ال
+
+7
+00:00:47,880 --> 00:00:51,040
+mathematical analysis ل non recursive قبل هيك اللي
+
+8
+00:00:51,040 --> 00:00:56,880
+هو section 2.3 ال recursive هو 2.4 بس قبل ما نروح
+
+9
+00:00:56,880 --> 00:01:01,760
+على ال 2.4 بنكمل اللي هو اللي كنا بنحكي فيه بخصوص
+
+10
+00:01:01,760 --> 00:01:07,140
+ال big O notation اخر اشي كنا حاكيناه هو انه
+
+11
+00:01:07,460 --> 00:01:13,080
+برجعكوا للـ
+
+12
+00:01:13,080 --> 00:01:16,720
+Formal Definition للـ little o و للـ little omega
+
+13
+00:01:16,720 --> 00:01:21,620
+الـ little o قلنا هي عبارة عن لما نقول انه في عندي
+
+14
+00:01:21,620 --> 00:01:27,140
+function g of n الـ little o للـ g of n هم كافة ال
+
+15
+00:01:27,140 --> 00:01:31,360
+functions اللي ال grow تبعهم او ال rate of growth
+
+16
+00:01:31,360 --> 00:01:38,030
+تبعهم slower than g of n slowerصح؟ وإيش فرق هذا
+
+17
+00:01:38,030 --> 00:01:41,870
+الآن عن ال big O هذا ال little o إيش الفرق هذا
+
+18
+00:01:41,870 --> 00:01:46,130
+التعريف عن تعريف ال big O ال big O هو ال slower
+
+19
+00:01:46,130 --> 00:01:53,170
+and equal and the same يعني كافة ال functions اللي
+
+20
+00:01:53,170 --> 00:01:59,990
+النمو تبعها أقل من أبطأ أو مساوي للنمو تبع ال G
+
+21
+00:01:59,990 --> 00:02:06,940
+ومثل ذلك لل little omegaلتل أميج عكس الـ little o
+
+22
+00:02:06,940 --> 00:02:12,040
+انه هي ال functions اللي النمو تبعهم أسرع من جي
+
+23
+00:02:12,040 --> 00:02:14,960
+طبعا تذكر دايما انه احنا بنحكي عن sets of
+
+24
+00:02:14,960 --> 00:02:20,700
+functions مجموعات كل ال functions اللي هنا مثلا في
+
+25
+00:02:20,700 --> 00:02:25,240
+ال little o اللي slower هذه مجموعة من ال functions
+
+26
+00:02:25,240 --> 00:02:29,460
+فلما بقول انا f of n يعني عندي function f of n
+
+27
+00:02:31,100 --> 00:02:38,640
+وأقول إنها big أو little o of g of n معناه ذلك إنه
+
+28
+00:02:38,640 --> 00:02:45,540
+هذه ال f النمو تبعها أو من ال functions اللي نمو
+
+29
+00:02:45,540 --> 00:02:51,140
+تبعهم أقل هذا is a little o إذا big O معناته نقصد
+
+30
+00:02:51,140 --> 00:02:56,740
+إنها من الأقل أو يسوي أو the same وهذا الكلام
+
+31
+00:02:56,740 --> 00:03:02,120
+عبّرنا عنه في ال slide هذه اللي قدام هنااللي بتقول
+
+32
+00:03:02,120 --> 00:03:07,620
+ان ال big O مجموعة ال .. مجموعة ال functions اللي
+
+33
+00:03:07,620 --> 00:03:14,140
+مصنفين ان هم big O of G هم كل ال functions اللي
+
+34
+00:03:14,140 --> 00:03:20,500
+little o و معاهم ال functions اللي ال theta ال
+
+35
+00:03:20,500 --> 00:03:24,660
+theta هم اللي ماشيين النمو تبعهم مشابه للنمو تبع
+
+36
+00:03:24,660 --> 00:03:32,820
+ال G و مثل ذلك اللي هو ال big omegaمجموعة الأسرع
+
+37
+00:03:32,820 --> 00:03:38,280
+مع المساوية وهذا
+
+38
+00:03:38,280 --> 00:03:43,340
+الشكل بيعبر على نفس القضية أن الشرطين هذولة اللي
+
+39
+00:03:43,340 --> 00:03:50,500
+هو أن ال function تبقى أقل تبقى little o little
+
+40
+00:03:50,500 --> 00:03:58,970
+omega أسف وأيضا كمان هي theta فهذا معنى أنه هيبيك
+
+41
+00:03:58,970 --> 00:04:05,130
+اوميقا بيك اوميقا تبقى little o و تبقى ثيتا معناته
+
+42
+00:04:05,130 --> 00:04:10,870
+هي بيك اوميقا بيك او هذا
+
+43
+00:04:10,870 --> 00:04:15,950
+كلام حكيناه الماضي وقفنا عند slide هذه slide هذه
+
+44
+00:04:15,950 --> 00:04:20,410
+ببساطة انه احنا بنقول انه لما يبقى في عندي انا
+
+45
+00:04:20,410 --> 00:04:28,880
+expression expression هذا يعني في عندي ال timeيعني
+
+46
+00:04:28,880 --> 00:04:33,600
+الـ F دي هي function تقبل عن الـ time تبع ال
+
+47
+00:04:33,600 --> 00:04:43,040
+algorithm يعني فجأة ال F أصلا هي عبارة عن two
+
+48
+00:04:43,040 --> 00:04:51,980
+functions فأنا
+
+49
+00:04:51,980 --> 00:04:56,000
+ببساطة في قوة عادلة لأمر هذا في مطلوب بساطةبطلع
+
+50
+00:04:56,000 --> 00:05:01,240
+على الـ two functions هدولة بشوف
+
+51
+00:05:01,240 --> 00:05:04,000
+ال big O تبع هذا ال term و ال big O تبع هذا ال
+
+52
+00:05:04,000 --> 00:05:08,960
+term و ال big O تبع ال F كلها هي ال big O تبع ال
+
+53
+00:05:08,960 --> 00:05:16,740
+maximum صح؟ هنا هذه .. هذه big O of some function
+
+54
+00:05:16,740 --> 00:05:22,500
+خلينا بس نستخدم رمز تاني لل F عشان ممكن نقول ال T
+
+55
+00:05:23,690 --> 00:05:29,010
+is execution time بتكون من time term زي term آخر
+
+56
+00:05:29,010 --> 00:05:34,450
+هذا ال term تصنيفه انه big O of some function كده،
+
+57
+00:05:34,450 --> 00:05:44,190
+قولي مثلا big O of N² وهذا التاني big O of log N،
+
+58
+00:05:44,190 --> 00:05:52,010
+مين الأكبر؟ ال N² من الأسرع في النمو، ال N² أسرع
+
+59
+00:05:52,010 --> 00:05:56,730
+من ال log Nوبالتالي هذا ال expression ككل تصنيفه
+
+60
+00:05:56,730 --> 00:06:03,290
+in big O of H من الأقصر N² هذا
+
+61
+00:06:03,290 --> 00:06:07,090
+الكلام شبيه بهذا الكلام أنه احنا اصلا لما يبقى
+
+62
+00:06:07,090 --> 00:06:11,090
+عندي polynomial polynomial اللي هو عبارة عن ..
+
+63
+00:06:11,090 --> 00:06:14,310
+مانحكيش عن terms مانحكيش عن two separate functions
+
+64
+00:06:14,310 --> 00:06:18,460
+مانحكي عن function واحدة بس فيها termsوال terms
+
+65
+00:06:18,460 --> 00:06:22,640
+كلهم بمتغير واحد بس مختلفة ال degree تبعه أو ال
+
+66
+00:06:22,640 --> 00:06:28,380
+order تبعه in cube و بعدين in square و بعدين in صح
+
+67
+00:06:28,380 --> 00:06:33,920
+فاحنا ببساطة دايما بناخد ايش بناخد اللي هو ال
+
+68
+00:06:33,920 --> 00:06:41,060
+largest K تمام ال polynomial هو of degree K بمعنى
+
+69
+00:06:41,060 --> 00:06:46,900
+انه ال largest تبعته K فبناخد الأكبر لأن الأكبر هو
+
+70
+00:06:46,900 --> 00:06:50,740
+ال maximumصح؟ يعني هذه بتقدر تعتبرها special case
+
+71
+00:06:50,740 --> 00:06:53,700
+من هذا الكلام هذا الكلام انه لما يبقى في عندي
+
+72
+00:06:53,700 --> 00:06:58,840
+multiple functions فبناخد ال maximum ال maximum
+
+73
+00:06:58,840 --> 00:07:04,360
+growth هي بتعبر عن ال growth تبع الكل وهنا لما
+
+74
+00:07:04,360 --> 00:07:10,460
+يبقى في ضرب على ببساطة شديدة ال big O of هذه مضروب
+
+75
+00:07:10,460 --> 00:07:15,790
+في ال big O تبع هذه يعني لما يكون مثلا هذهLog N
+
+76
+00:07:15,790 --> 00:07:20,850
+وهذا N² بس اللي بينهم ضرب مش زائد معناته ال growth
+
+77
+00:07:20,850 --> 00:07:24,350
+تبع ال function كلها أو ال expression كله big O of
+
+78
+00:07:24,350 --> 00:07:31,910
+N² Log N ضربنا ال complexity تبع الأولى في ال
+
+79
+00:07:31,910 --> 00:07:43,110
+complexity تبع التاني على إذا ضرب و
+
+80
+00:07:43,110 --> 00:07:48,760
+لما يكون في عنديالكمبليكسيتي او ال execution time
+
+81
+00:07:48,760 --> 00:07:55,540
+معبر عنه بال log log ال input size فخلاص ال input
+
+82
+00:07:55,540 --> 00:08:05,600
+size هو ال ال n يعني هي درجة الكمبليكسيتي تمام اخر
+
+83
+00:08:05,600 --> 00:08:08,860
+شيء اخر شيء ان احنا زي ما قولنا اكتر من مرة قبل
+
+84
+00:08:08,860 --> 00:08:14,480
+هيك الTime هذا لما احنا بنعمل mathematical
+
+85
+00:08:14,480 --> 00:08:19,960
+analysis لل execution time ومنه بنستنبط لكمplexity
+
+86
+00:08:19,960 --> 00:08:26,220
+الكمplexity عادة هتيجي واحدة من هذه التصنيفات
+
+87
+00:08:26,220 --> 00:08:30,620
+او ال growth rates ال typical الشائعة ال C لما
+
+88
+00:08:30,620 --> 00:08:36,430
+يكون constantيعني ان الزمن ال execution او ال
+
+89
+00:08:36,430 --> 00:08:41,010
+growth rate تبع ال algorithm ثابت مالوش علاقة بال
+
+90
+00:08:41,010 --> 00:08:45,910
+input size هنا ايه علاقة كلهم دول ايه علاقة على
+
+91
+00:08:45,910 --> 00:08:51,310
+حسب الان جدول في جدول في الكتاب بيعطيكيهم نفس ال
+
+92
+00:08:51,310 --> 00:08:57,510
+table هذانفس الـ table صفحة 59 نفسهم هم ال classes
+
+93
+00:08:57,510 --> 00:09:02,570
+دولة الواحد يعني ال constant login, in, inlogin
+
+94
+00:09:02,570 --> 00:09:08,610
+بيوريكي فوضيح له و زائد كمان بيقولك ايش نوع ال
+
+95
+00:09:08,610 --> 00:09:12,930
+algorithms اللي عادة بتيجي تحت هذا الفئة يعني مثلا
+
+96
+00:09:12,930 --> 00:09:17,910
+in linear linear growth اللي ال algorithms اللي
+
+97
+00:09:17,910 --> 00:09:19,370
+scan a list of size n
+
+98
+00:09:22,240 --> 00:09:28,100
+زي الـ sequential search مثلا تمام ال in log in ال
+
+99
+00:09:28,100 --> 00:09:31,020
+divide and conquer algorithm زي ما هنشوف قدام لما
+
+100
+00:09:31,020 --> 00:09:33,960
+نحكي عن ال divide and conquer هتلاقي ال complexity
+
+101
+00:09:33,960 --> 00:09:39,120
+تبعتها في هذا الإطار in log in تمام فضروري تطلع
+
+102
+00:09:39,120 --> 00:09:43,880
+عليه الجدول هذا لأنه يعني هو زي يعطيكي مقدمة عن
+
+103
+00:09:43,880 --> 00:09:47,000
+إيش تتوقعي قدام لما نحكي عن ال algorithmة اللي
+
+104
+00:09:47,000 --> 00:09:56,030
+قدامك طيب ماشي الحال تبقى احنا الآنهي كبنكون طلعنا
+
+105
+00:09:56,030 --> 00:10:01,690
+على اللي هو ال big O notation وفهمناها عساس لما
+
+106
+00:10:01,690 --> 00:10:09,090
+نجدام ال concepts هذه او المفاهيم هذه مش جديدة
+
+107
+00:10:09,090 --> 00:10:11,930
+علينا الان احنا بدنا نرجع ل ال mathematical
+
+108
+00:10:11,930 --> 00:10:18,020
+analysis باسمين لل recursive algorithmsبتختلف شويه
+
+109
+00:10:18,020 --> 00:10:22,740
+انه فيه recursion ال algorithm نفسها بتستدعي نفسها
+
+110
+00:10:22,740 --> 00:10:26,580
+عدة مرات وبالتالي execution time هو مش معتمد على
+
+111
+00:10:26,580 --> 00:10:31,160
+iterations نقدر نقل لأ معتمد على أكم مرة ال
+
+112
+00:10:31,160 --> 00:10:35,280
+algorithm بتستدعي نفسها وكيف استدعاه ده بيأثر على
+
+113
+00:10:35,280 --> 00:10:38,640
+الزمن فهنطلع على هذا الكلام الآن وهذا اللي هو
+
+114
+00:10:38,640 --> 00:10:42,340
+section R أتنين أربعة اتنين أربعة
+
+115
+00:10:51,860 --> 00:10:57,700
+السلايدات هذه بدأت بـ 2 و 3 اللي هو خلصناها اللي
+
+116
+00:10:57,700 --> 00:11:03,200
+هو ال non recursive algorithms والان 2 و 4 لل
+
+117
+00:11:03,200 --> 00:11:07,600
+recursive algorithms زي ما كان فيه steps في ال non
+
+118
+00:11:07,600 --> 00:11:13,060
+recursive فيه هنا steps برضه و بتتشابه يعني مثلا
+
+119
+00:11:13,060 --> 00:11:17,990
+هذه الخطوة to decide on parameter nهو نفسها ان
+
+120
+00:11:17,990 --> 00:11:21,050
+احنا بدنا نعجر عن ال input size بيه متغير و
+
+121
+00:11:21,050 --> 00:11:25,150
+المتغير هذا دايما بيكون N بس بدنا نبقى واضحين ايش
+
+122
+00:11:25,150 --> 00:11:29,970
+ال N هذه تعني زي ما اتكلم مصفوفةالان لما نضرب
+
+123
+00:11:29,970 --> 00:11:33,730
+مصففتين الان هو ال total size تبع ايش قلنا مصففتين
+
+124
+00:11:33,730 --> 00:11:37,290
+مع بعض لما تكون عندي قرية و بتعمل فيها search الان
+
+125
+00:11:37,290 --> 00:11:41,970
+يرمز إلى طول القرية و القرية هي هي فالمهم انه احنا
+
+126
+00:11:41,970 --> 00:11:49,270
+بنستخدم المتغير هذا و احنا وعيين لإيش بيرمز النقطة
+
+127
+00:11:49,270 --> 00:11:52,530
+التانية برضه نفس الشيء identify ال basic operation
+
+128
+00:11:52,530 --> 00:11:56,230
+ايش هي ال basic operation اللي بتتكرر مع كل عنصر و
+
+129
+00:11:56,230 --> 00:12:00,800
+عنصر ال inputبرضه كذلك الحلم ان ننظر إذا كان ال
+
+130
+00:12:00,800 --> 00:12:05,000
+input هذا ممكن يجيني بأحوال متختلفة و حالة تكون
+
+131
+00:12:05,000 --> 00:12:08,680
+worst case و حالة تبقى best case ولا لأ مش فارقة
+
+132
+00:12:08,680 --> 00:12:12,400
+ال algorithm هتعمل نفس الشغل على ال input هذا بغض
+
+133
+00:12:12,400 --> 00:12:16,980
+النظر عن وضعيته هل هو جيني مرتب مش مرتب جيني صح؟
+
+134
+00:12:16,980 --> 00:12:20,820
+إذا في worst case و best case معناته أنه لازم أحلل
+
+135
+00:12:20,820 --> 00:12:24,660
+على أساس ال worst case صح؟ لازم أعمل الشغل على ال
+
+136
+00:12:24,660 --> 00:12:31,150
+worst case مش على ال best caseالان هنا لاستجددت
+
+137
+00:12:31,150 --> 00:12:34,610
+اللي هو حاجة اسمة recurrence relation وكيف انا ال
+
+138
+00:12:34,610 --> 00:12:40,530
+recurrence relation ابسطها الى او استخلص منها ال
+
+139
+00:12:40,530 --> 00:12:45,850
+explicit او ال exact execution time الزمن الدقيق
+
+140
+00:12:45,850 --> 00:12:49,930
+لان ال recurrence relation هي عبارة عن معادلة ولكن
+
+141
+00:12:49,930 --> 00:12:55,120
+لسه زي مثلا احنا لما كنا بنعمل ال summationI'm
+
+142
+00:12:55,120 --> 00:12:58,900
+going to I equals zero ل N و يبقى في عندي هنا هذي
+
+143
+00:12:58,900 --> 00:13:03,080
+لسه انا يعني هي معادلة و exact لكن انا بدي اطلها
+
+144
+00:13:03,080 --> 00:13:09,100
+منها بالاخر المتتالية هذي جداش في الآخر مقدارها صح
+
+145
+00:13:09,100 --> 00:13:13,630
+هنا اشي شبيه ولكن انالو جاش عندي summation و جاش
+
+146
+00:13:13,630 --> 00:13:16,970
+عندي recurrence relation و بدي اطلع منها ال exact
+
+147
+00:13:16,970 --> 00:13:20,510
+time ايش يعني recurrence relation خلّيني ناخد مثال
+
+148
+00:13:20,510 --> 00:13:27,010
+على algorithm احنا كلنا بنعرفها بسيطة ليه ال
+
+149
+00:13:27,010 --> 00:13:30,870
+factorial لو انا عندي algorithm و بديها تحسب ال
+
+150
+00:13:30,870 --> 00:13:35,100
+factorialfactorial معناته بدها تضرب لو قلت لها
+
+151
+00:13:35,100 --> 00:13:39,160
+مثلا خمسة عاش تضرب خمسة عاش في كل اللي قبلها مظبوط
+
+152
+00:13:39,160 --> 00:13:45,360
+فلو بدنا نسوي الكلام ب recurrence ب recursion okay
+
+153
+00:13:45,360 --> 00:13:51,100
+معناه ذلك بدنا نقول ان ال factorial of n ال n
+
+154
+00:13:51,100 --> 00:13:57,420
+factorial بساوي ال n زي ما هي ال n بس بدنا نضربها
+
+155
+00:13:57,420 --> 00:14:04,970
+في ناتج ال factorial ofاللي قبلها خمستاش ضرب
+
+156
+00:14:04,970 --> 00:14:09,510
+الفكتوريال مش ضرب الاربعتاش هي رقمية ضرب
+
+157
+00:14:09,510 --> 00:14:12,530
+الفكتوريال تبع الاربعتاش طيب ايش الفكتوريال تبع
+
+158
+00:14:12,530 --> 00:14:15,730
+الاربعتاش هو الاربعتاش مضروبة في الفكتوريال تبع
+
+159
+00:14:15,730 --> 00:14:18,750
+التلتاش و من هنا جاي ال recursion طيب هذا الكلام
+
+160
+00:14:18,750 --> 00:14:25,230
+بدي يستمر لإمتى للصفر صح الفكتوريال تبع الصفر هو
+
+161
+00:14:25,230 --> 00:14:29,830
+واحد الواحد okay فال recurrence relationship احنا
+
+162
+00:14:29,830 --> 00:14:38,510
+ال recurrence relationبتعبر عن الزمن اللازم
+
+163
+00:14:38,510 --> 00:14:46,330
+لتنفيذ
+
+164
+00:14:46,330 --> 00:14:46,870
+ال algorithm
+
+165
+00:14:54,440 --> 00:14:58,440
+لكن تختلف ان هي نفسها بتعرف الزمن يعني زي اللي
+
+166
+00:14:58,440 --> 00:15:01,620
+بيعرف ال .. زي لما واحد يسألك ويقول جديش الساعة
+
+167
+00:15:01,620 --> 00:15:07,080
+الحين تقوليله جد مبارح زائد الا ربع او مثلا و نص
+
+168
+00:15:07,080 --> 00:15:11,100
+طيب جديش كانت المبارح في هذا المجلد؟ بنترجع نسأل
+
+169
+00:15:11,100 --> 00:15:14,160
+السؤال جديش كانت المبارح؟ ماعطينيها .. ماعطيوش
+
+170
+00:15:14,160 --> 00:15:21,310
+إجابة محددة exact اعطيه إجابة بتعتمد علىنفس السؤال
+
+171
+00:15:21,310 --> 00:15:21,910
+تبقى هو
+
+172
+00:15:50,890 --> 00:15:56,090
+وهذا الان بدى يستمر لحد 8.5 لـ factorial تبع
+
+173
+00:15:56,090 --> 00:16:00,750
+الواحد factorial تبع الواحد قصد الزمن اللي لازم
+
+174
+00:16:00,750 --> 00:16:04,330
+لحساب ال factorial تبع الواحد هو الواحد ليه عملية
+
+175
+00:16:04,330 --> 00:16:10,630
+ايش في الواحد حضر بالواحد في ال factorial تبع اللي
+
+176
+00:16:10,630 --> 00:16:13,630
+قبله اللي هو ال zero اللي هو واحد رقم ثابت
+
+177
+00:16:13,630 --> 00:16:18,360
+constant هذه عملية الضربة العملية الأخيرةالان هذا
+
+178
+00:16:18,360 --> 00:16:24,580
+الكلام هو recurrence relationship بتعبر عن الزمن
+
+179
+00:16:24,580 --> 00:16:30,300
+اللازم لتنفيذ ال algorithm بناء على معادلة نفسه
+
+180
+00:16:30,300 --> 00:16:41,820
+الان كيف بدنا نحله بحيث ان نجيب بالظبط جداش زمن
+
+181
+00:16:41,820 --> 00:16:42,580
+ال algorithm
+
+182
+00:16:49,890 --> 00:16:55,870
+أيش الأسلوب لإنه أطلع رقم هو هنا هي أطلع لـ N كيف
+
+183
+00:16:55,870 --> 00:17:00,250
+الـ N هادقجت منها للكلام أنه احنا ممكن نتابع أسلوب
+
+184
+00:17:00,250 --> 00:17:05,730
+بسيط جدا و هو نقول طيب okay T of N بيساوي T of N
+
+185
+00:17:05,730 --> 00:17:11,170
+ناقص واحد و مضاف عليها واحد طيب هذا أيش بيساوي T
+
+186
+00:17:11,170 --> 00:17:15,610
+of N ناقص واحد أيش بيساوي عشان أضيف عليه واحد
+
+187
+00:17:15,610 --> 00:17:21,210
+بيساوي T of N ناقص اتنينزائد واحد هذا كله ال N
+
+188
+00:17:21,210 --> 00:17:24,710
+يعني
+
+189
+00:17:24,710 --> 00:17:32,170
+هذا هيك هيك N نقص واحد لو نزلت ال واحد هذا بيصير
+
+190
+00:17:32,170 --> 00:17:38,890
+بعبرا عن هذا صح؟ طيب هذا أيه شو ساوي T of N نقص
+
+191
+00:17:38,890 --> 00:17:44,570
+اتنين زائد اتنين هذا هيك انا دخلت طيب هذا أيه شو
+
+192
+00:17:44,570 --> 00:17:50,900
+بيساوي بيساوي ال Tأبقى اناقس تلاتة زي واحد كله زي
+
+193
+00:17:50,900 --> 00:17:57,780
+اتنين حلقى بعد شوية انه في pattern في نمط مظبوط
+
+194
+00:17:57,780 --> 00:18:04,260
+انه هو نفسه زي يعني اللي اجابله زي التلاتة يعني
+
+195
+00:18:04,260 --> 00:18:08,200
+هذا قولي
+
+196
+00:18:08,200 --> 00:18:13,960
+الاستدعاء الاول I بساوة واحد هنا الاستدعاء التاني
+
+197
+00:18:13,960 --> 00:18:22,360
+الاستدعاء التالتتمام فالصداعي الأخير هيكون T of N
+
+198
+00:18:22,360 --> 00:18:31,460
+ناقص I زائد I لما
+
+199
+00:18:31,460 --> 00:18:43,240
+نلف على كلهم العناصر كلهم اللي هو إيش N كلهم
+
+200
+00:18:43,240 --> 00:18:47,920
+لما نلف عليهم كلهمهيكون عمل هذا الحجم من العمليات
+
+201
+00:18:47,920 --> 00:18:56,020
+عند ما يخلص كلهم هتبقى I بساوة N I بدأت بواحد اللي
+
+202
+00:18:56,020 --> 00:19:01,100
+هو الأنصار الأول أو يعني رأس الـ recursion هتستمر
+
+203
+00:19:01,100 --> 00:19:07,140
+لغاية I بساوة N N ولا N نقص واحد احنا هنجح عند
+
+204
+00:19:07,140 --> 00:19:13,240
+الواحد من N لواحد مش لصفر أحيانا بيبقى صفر حسب
+
+205
+00:19:13,240 --> 00:19:19,690
+المسألةبس هنا هنمشي من الخمسة عشر نزولا للواحد
+
+206
+00:19:19,690 --> 00:19:23,310
+الخمسة عشر هذا هو المثال مثال او نحسب ال factor
+
+207
+00:19:23,310 --> 00:19:29,470
+لتبع الخمسة عشر okay فاخر اشي هيبقى ال I بساوي ال
+
+208
+00:19:29,470 --> 00:19:40,430
+N يعني T of N ناقص N زائد N طب T of N ناقص N N
+
+209
+00:19:40,430 --> 00:19:48,830
+ناقص N صفر الزمن فيها صفربتظهر الان احنا
+
+210
+00:19:48,830 --> 00:19:53,950
+الآن خرجنا من ال recurrence relation اللي هي تعريف
+
+211
+00:19:53,950 --> 00:20:02,190
+بالماء الى exact الى رقم محدد بالظبط جداش الزمن
+
+212
+00:20:02,190 --> 00:20:08,620
+اللي هيكون خلاص الان الحمرا دي معناته البتبع الـ
+
+213
+00:20:08,620 --> 00:20:11,640
+algorithm هالي ساوة N معناه تبقى صنخها big O of N
+
+214
+00:20:11,640 --> 00:20:17,960
+واضح انه لما يكون N ان هي هاي الـ G هاد ال F وهي
+
+215
+00:20:17,960 --> 00:20:23,340
+نفسها مقدر اقول انه ال function اللي ال execution
+
+216
+00:20:23,340 --> 00:20:29,720
+تبعها N اكيد بتنمو زيها زي ال function N G of N
+
+217
+00:20:32,820 --> 00:20:37,280
+المهم في المقطع هذا ليس تصنيف الـ N لـ O لأ المهم
+
+218
+00:20:37,280 --> 00:20:42,680
+أن كيف خرجنا من الـ Recurrence إلى الـ Exact Value
+
+219
+00:20:42,680 --> 00:20:53,140
+أو الـ Exact Function T of N بساوة N T of N بساوة
+
+220
+00:20:53,140 --> 00:20:56,940
+N خرجنا من الـ Recurrence Relationship إلى
+
+221
+00:20:56,940 --> 00:21:02,210
+FunctionOkay كيف؟ حد يقول يلخصلي كيف أنا سويتها
+
+222
+00:21:02,210 --> 00:21:08,750
+على إيش المنهجي اللي اتبعتها أنه أنا استبدلت
+
+223
+00:21:08,750 --> 00:21:15,310
+تدريجيا شو بإيش استبدلت
+
+224
+00:21:15,310 --> 00:21:20,630
+ال term هذا بـrecurrence
+
+225
+00:21:20,630 --> 00:21:25,130
+relationship بتاع اللي جابله صح؟ يعني هو هذا و أنا
+
+226
+00:21:25,130 --> 00:21:31,050
+عملت تعويض عملت تعويض عن هذاهذا اسمه Backward
+
+227
+00:21:31,050 --> 00:21:37,550
+Replacement انه انا شويه شويه ببدل بس رجوعا من ال
+
+228
+00:21:37,550 --> 00:21:44,730
+in full size الى ال basic element خلينا نشوف هذا
+
+229
+00:21:44,730 --> 00:21:51,110
+ال مثال على مثال اخر اللي هو ال towers of hanoi ال
+
+230
+00:21:51,110 --> 00:21:54,250
+towers of hanoi اللي بيبقى رفهاش عبارة عن زي ما
+
+231
+00:21:54,250 --> 00:21:59,390
+نقول تحدي ان انت لو عندكاللي هو صفقة الأقراس هذه
+
+232
+00:21:59,390 --> 00:22:05,390
+أقراس وهذا الأعمود أقراس مخروجة من النص ومصفطين من
+
+233
+00:22:05,390 --> 00:22:09,710
+تحت لفوق أقراس هذه ممكن أنه واحد اتنين تلت أربع
+
+234
+00:22:09,710 --> 00:22:13,470
+خمسة ست أقراس ال sizes تبعتهم زي كمان جاي بالتدريج
+
+235
+00:22:13,470 --> 00:22:17,950
+ومصفطين من بداية من الكبير تحت لالأعلى لأن مطلوب
+
+236
+00:22:17,950 --> 00:22:21,030
+منك في عندك برضه كمان عمودين هنا مطلوب منك أن
+
+237
+00:22:21,030 --> 00:22:28,380
+تنجلي هذا على العمود الآخربحس انه برضه يبقوا
+
+238
+00:22:28,380 --> 00:22:36,800
+مرتبين يعني تنجليهم كداشهم؟
+
+239
+00:22:36,800 --> 00:22:39,800
+واحد، اتنين، تلاتة، اربعة، خمس، ستة كيف بدك
+
+240
+00:22:39,800 --> 00:22:43,040
+تنجليهم؟ لو انت طبعا بدك تستعيني انت بدك تنجليهم
+
+241
+00:22:43,040 --> 00:22:48,900
+من هنا لهنا من واحد من عمود واحد إلى عمود تلاتة
+
+242
+00:22:48,900 --> 00:22:55,180
+بدك تستعيني بهذا هذا زي منطقة buffer يعني هيك او
+
+243
+00:22:57,270 --> 00:23:00,790
+مرحلة مؤقتة الهدف نهائي تبعك أنه ينتقلوا هنا لو
+
+244
+00:23:00,790 --> 00:23:07,270
+أنت نجلت هذا هنا وبعدين هو الفكرة ببساطة زي ما هو
+
+245
+00:23:07,270 --> 00:23:12,150
+جالك أنه أول إشي بده أنجل الهدف تبعينه أنجل هدولة
+
+246
+00:23:12,150 --> 00:23:22,230
+كلهم إيش هنا هدولة هك أسيب الأخير كل كمية هذه
+
+247
+00:23:22,230 --> 00:23:30,100
+أنجلها هنابعدين الأخير بنكشف بروح بحطه بعدين في
+
+248
+00:23:30,100 --> 00:23:35,840
+مرحلة تلاتة بنجل هدولة هنا انا
+
+249
+00:23:35,840 --> 00:23:42,040
+عشان أنجل هدولة واحد احتجت ان انجل كلهم الا واحد
+
+250
+00:23:42,040 --> 00:23:50,380
+في منطقة مؤقتة نجلت الواحد ثم عملت العملية تاني
+
+251
+00:23:50,380 --> 00:23:55,580
+نجلت هدولة من المنطقة المؤقتةمن المنطقة المؤقتة
+
+252
+00:23:55,580 --> 00:24:02,080
+إلى المنطقة النهائية في الخلاصة احنا منهجية الحل
+
+253
+00:24:02,080 --> 00:24:07,260
+هنا او الـ growth model هذه انه بدي اعالج بدي انجل
+
+254
+00:24:07,260 --> 00:24:12,630
+انا المطلوب اني انجل هدولة كلهمهنا طيب بدي أنجل
+
+255
+00:24:12,630 --> 00:24:19,030
+كلهم إلى الأخير إلى الكبير بدي أنجلهم مرحليا ثم
+
+256
+00:24:19,030 --> 00:24:27,230
+أنجل الأخير الكبير ثم أرجع أنجل المرحليا
+
+257
+00:24:27,230 --> 00:24:34,150
+على النهائي طيب عشان أنا أصلا أنجل هدولة هدولة
+
+258
+00:24:34,150 --> 00:24:37,830
+أنجلهم هنا هاي واحد هاي اتنين هاي تلاتة هاي أربعة
+
+259
+00:24:37,830 --> 00:24:46,850
+هاي خمسةده انجل من عند واحد لخمسة و
+
+260
+00:24:46,850 --> 00:24:50,930
+بعدين ده نشيبهم و بعدين ستة هذا احطه هنا عشان انجل
+
+261
+00:24:50,930 --> 00:24:57,290
+هدولة هنا خلي بالك ان هذا لسه يكون فاضي عشان انجل
+
+262
+00:24:57,290 --> 00:25:02,430
+هدولةعشان أنجل هدولة هنا طب إيش الفكرة الأساسية
+
+263
+00:25:02,430 --> 00:25:06,710
+أنه أنا لازم أنجل الأربعة الأولانية مؤقتا هنا
+
+264
+00:25:06,710 --> 00:25:12,430
+بعدين أجيب الخامس هنا بعدين أرجع الأربعة فوق هذا
+
+265
+00:25:12,430 --> 00:25:18,170
+عشان يكتمل نقل الخمسة عشان لسه أقدر أنجل الكبير و
+
+266
+00:25:18,170 --> 00:25:25,970
+أحطه هنا يبقى صار أنه عشان أنا أنجل خمس أو ستبساوي
+
+267
+00:25:25,970 --> 00:25:33,030
+T of N ناقص واحد زائد عشان
+
+268
+00:25:33,030 --> 00:25:39,070
+انا انقل ال N كلهم بساوي نقل ال .. اولا اللي هو
+
+269
+00:25:39,070 --> 00:25:43,870
+كلهم ناقص واحد زائد ان انا بده أنجله هو زي ان بده
+
+270
+00:25:43,870 --> 00:25:53,250
+ارجع انجلهم تاني فوقهم مظبوط
+
+271
+00:25:53,250 --> 00:25:53,570
+يعنى؟
+
+272
+00:25:57,760 --> 00:26:01,500
+الست هذول كلهم عشان ينتقلوا هنا مرة تانية
+
+273
+00:26:01,500 --> 00:26:05,580
+الاستراتيجية كانت تالية انه بانقل كلهم الا واحد
+
+274
+00:26:05,580 --> 00:26:13,300
+مؤقتا بانقل الأخير بعدين بانقل هم هذول مرة أخرى
+
+275
+00:26:13,300 --> 00:26:19,340
+يعني انا بدي عشان أنقل الكل بدي أنقل كلهم الا واحد
+
+276
+00:26:19,340 --> 00:26:25,320
+مؤقتا بانقل الأخير بعدين بانقل من المكان المؤقت
+
+277
+00:26:25,320 --> 00:26:26,780
+الى المكان اللي هي
+
+278
+00:26:30,710 --> 00:26:37,610
+عبّر عنها بيش بامة بدال T حاطة M فهنا إيش بيطلع
+
+279
+00:26:37,610 --> 00:26:42,790
+هذه التنتين two
+
+280
+00:26:42,790 --> 00:26:47,890
+T of N نقص واحد زاد واحد طيب لو ما يكون عندي disk
+
+281
+00:26:47,890 --> 00:26:53,450
+واحد انا افتقليه لما أسأل انا طبعا هذا معناته انه
+
+282
+00:26:53,450 --> 00:26:58,790
+عشان angle N نقص واحد بدأ angle N نقص اتنينعشان
+
+283
+00:26:58,790 --> 00:27:02,510
+أنجل الـ N نقص اتنين بدي أنجل ال N نقص ثلاثة رجوعا
+
+284
+00:27:02,510 --> 00:27:06,550
+إلى لما يكون عندي disk واحد فقط بدي أنجله ال disk
+
+285
+00:27:06,550 --> 00:27:11,070
+الواحد عشان انقله بيكلفني operation واحدة ال
+
+286
+00:27:11,070 --> 00:27:15,630
+recurrence relationship هي انه M نقل N من ال disks
+
+287
+00:27:15,630 --> 00:27:23,530
+بيكلف مرتين نقل N نقص واحد زائد وهذا الكلام بيجف
+
+288
+00:27:23,530 --> 00:27:25,530
+عند M of واحد بيساوي واحد
+
+289
+00:27:30,370 --> 00:27:35,770
+بدي أتخلص من الـ Recurrence و أصل إلى Exact
+
+290
+00:27:35,770 --> 00:27:43,610
+function برضه بالـ Backward Replacement بدي أشيل
+
+291
+00:28:31,650 --> 00:28:37,670
+هذا الكلام داخل النقل ساوى
+
+292
+00:28:48,230 --> 00:28:51,570
+صح؟ أنا هنا نزلت الواحد خلّيني مانزلش في الأول
+
+293
+00:28:51,570 --> 00:28:55,050
+خلّيني
+
+294
+00:28:55,050 --> 00:29:01,470
+على أساس أن هذا اللي هو ال M of N بس احنا استعدنا
+
+295
+00:29:01,470 --> 00:29:10,310
+عن ال إيش عن هذه باللي جابلها ان
+
+296
+00:29:10,310 --> 00:29:14,030
+هذا
+
+297
+00:29:14,030 --> 00:29:22,480
+الجزء هذا الجزء هيكاستبدلوا باش هذا
+
+298
+00:29:22,480 --> 00:29:27,320
+جزء بحطه
+
+299
+00:29:27,320 --> 00:29:37,480
+جوس ال bracket هذا طبعا
+
+300
+00:29:37,480 --> 00:29:41,620
+هذا بدي ادخل انا الاتنين اتنين في اتنين اتنين
+
+301
+00:29:41,620 --> 00:29:54,390
+تربية صح و في Mنقص اتنين زائد اتنين زائد اتنين
+
+302
+00:30:21,140 --> 00:30:25,640
+اه هالاتنين ما هي دخلت على الواحد هذه صح؟ اتنين
+
+303
+00:30:25,640 --> 00:30:31,160
+هالي دخلت هنا فهنا تربية و هنا اتنين و هنا واحد
+
+304
+00:30:31,160 --> 00:30:37,480
+صح؟أتنين هذه دخلت على اتنين هذه صارت اتنين تربيه
+
+305
+00:30:37,480 --> 00:30:45,500
+دخلت على الواحد هذا صارت اتنين مظبوط و يساوي تلاتة
+
+306
+00:30:45,500 --> 00:30:51,880
+طيب هل بقدر اتوقع ال pattern ال pattern انه هذا
+
+307
+00:30:51,880 --> 00:30:58,980
+هذا لمين هذا قلنا ل I ل N هذا ل N نقص واحد ل N نقص
+
+308
+00:30:58,980 --> 00:31:02,260
+اتنين ايش هيكون هيكون اتنين قص تلاتة مثلا
+
+309
+00:31:06,230 --> 00:31:18,410
+م ايه الناقص تلاتة أربعة تمام
+
+310
+00:31:18,410 --> 00:31:26,110
+في الآخر يعني في النهاية لأ sorry أنا اسف هذا غلط
+
+311
+00:31:26,110 --> 00:31:30,830
+ايه اي واحد اي اتنين اي تلاتةI واحد بتكون in كلها
+
+312
+00:31:30,830 --> 00:31:34,970
+I اتنين بتكون in الا واحد I تلاته بتكون in الا
+
+313
+00:31:34,970 --> 00:31:41,730
+اتنين لما نخلص نصر الى واحد لما نخلص نصر الى واحد
+
+314
+00:31:41,730 --> 00:31:44,910
+لما نخلص نصر الى واحد بتكون I I بساوي N
+
+315
+00:31:48,480 --> 00:31:51,880
+ففي هذه الحالة أنا في عندي ال pattern هنا أنه ال
+
+316
+00:31:51,880 --> 00:31:58,460
+pattern أنه 2 أُس I ل M N نقص I نقص واحد
+
+317
+00:32:18,870 --> 00:32:25,050
+مرة تانية بنت هنا ايش هذا الاستدعاء الاول a i
+
+318
+00:32:25,050 --> 00:32:36,430
+بساوي هنا اتنين اقص واحد صح؟ لأ اتنين اقص واحد اي
+
+319
+00:32:36,430 --> 00:32:37,290
+زاد واحد
+
+320
+00:32:48,790 --> 00:32:53,690
+في عندنا هنا .. في
+
+321
+00:32:53,690 --> 00:32:57,490
+عندنا هنا اتنين .. اتنين .. هذه ايش كانت قولنا؟
+
+322
+00:32:57,490 --> 00:33:01,070
+هذه كانت عبارة عن اتنين زائد واحد .. زائد واحد هنا
+
+323
+00:33:01,070 --> 00:33:07,270
+هيكون ايش؟ تلاتة زائد واحد .. تلاتة زائد واحد صح؟
+
+324
+00:33:07,270 --> 00:33:13,930
+اللي هو .. اللي هو هناهو ايش هذي هذي عبارة عن
+
+325
+00:33:13,930 --> 00:33:17,870
+تلاتي يعني اربعة نقص واحد يعني اتنين قص اتنين نقص
+
+326
+00:33:17,870 --> 00:33:23,190
+واحد هذي ايش
+
+327
+00:33:23,190 --> 00:33:27,990
+هذي
+
+328
+00:33:27,990 --> 00:33:32,170
+اربعة طيب استني شوية خلينا نكملها معلش اصلا انا
+
+329
+00:33:32,170 --> 00:33:38,810
+خلينا نكمل ال ال طيب
+
+330
+00:33:38,810 --> 00:33:46,030
+طيبطيب يبقى هذا بس اربعة يعني
+
+331
+00:33:46,030 --> 00:34:02,690
+بعد
+
+332
+00:34:02,690 --> 00:34:08,880
+التلاتة خلينا نبدأ نرجع للتلاتة اتنين اص تلاتة Mن
+
+333
+00:34:08,880 --> 00:34:18,140
+اقصد تلاتة زائد اتنين اقصد اتنين
+
+334
+00:34:18,140 --> 00:34:20,500
+اقصد اتنين اقصد اتنين اقصد اتنين اقصد اتنين اقصد
+
+335
+00:34:20,500 --> 00:34:21,560
+اتنين اقصد اتنين اقصد اتنين اقصد اتنين اقصد اتنين
+
+336
+00:34:21,560 --> 00:34:22,200
+اقصد اتنين اقصد اتنين اقصد اتنين اقصد اتنين اقصد
+
+337
+00:34:22,200 --> 00:34:22,420
+اتنين اقصد اتنين اقصد اتنين اقصد اتنين اقصد اتنين
+
+338
+00:34:22,420 --> 00:34:25,540
+اقصد اتنين
+
+339
+00:34:25,540 --> 00:34:34,660
+اقصد اتنين اقصد اتنين اقصد اتنين اقصد اتنين
+
+340
+00:34:34,660 --> 00:34:36,520
+اقصد اتنين اقصد اتنين
+
+341
+00:34:39,610 --> 00:34:44,810
+هنا هيك مظبوط صح اللي عند هنا مظبوط two m n نقص
+
+342
+00:34:44,810 --> 00:34:51,930
+اتنين زائد واحد صح اتنين تربيه m اتنين نقص واحد
+
+343
+00:34:51,930 --> 00:34:57,930
+زائد اتنين زائد اتنين اللي عند هنا مظبوط زائد
+
+344
+00:34:57,930 --> 00:35:01,410
+الواحد اللي بقى اتنين i نقص واحد لإنه هنضرب اللي
+
+345
+00:35:01,410 --> 00:35:09,400
+اتنين اقص اتنين اقص i فيهؤلاء الآن عندما انا اعمل
+
+346
+00:35:09,400 --> 00:35:14,400
+ل I ثلاثة هم لازم ينزلوا هؤلاء كما هم و هتنزل
+
+347
+00:35:14,400 --> 00:35:22,200
+اتنين تربية كما هي صح
+
+348
+00:35:22,200 --> 00:35:26,760
+ده راح ينزله انا الان بدي احسب هذا صح اللي هو
+
+349
+00:35:26,760 --> 00:35:37,930
+عبارة عن ايش اتنين M N نقص اتنين زائد واحدبساوي
+
+350
+00:35:37,930 --> 00:35:45,430
+اتنين اقصد ثلاثة M N نقص اتنين اتنين تربيع اتنين
+
+351
+00:35:45,430 --> 00:35:48,870
+تربيع اتنين تربيع اتنين تربيع اتنين تربيع اتنين
+
+352
+00:35:48,870 --> 00:35:51,790
+تربيع اتنين تربيع اتنين تربيع اتنين تربيع اتنين
+
+353
+00:35:51,790 --> 00:35:52,930
+تربيع اتنين تربيع اتنين تربيع اتنين تربيع اتنين
+
+354
+00:35:52,930 --> 00:35:55,590
+تربيع اتنين تربيع اتنين تربيع اتنين تربيع اتنين
+
+355
+00:35:55,590 --> 00:35:55,650
+تربيع اتنين تربيع اتنين تربيع اتنين تربيع اتنين
+
+356
+00:35:55,650 --> 00:36:06,270
+تربيع اتنين تربيع اتنين تربيع اتنين تر
+
+357
+00:36:06,820 --> 00:36:11,180
+هي عبارة عن اتنين نقص تلاتة لأ
+
+358
+00:36:11,180 --> 00:36:20,880
+لو ضرب اه صح تمام الان M اتنين
+
+359
+00:36:20,880 --> 00:36:30,100
+M N نقص تلاتة زي ايش واحد سوى اتنين اقص اربعة
+
+360
+00:36:30,100 --> 00:36:41,010
+اتنين اقص اربعةن ناقص تلاتة نين أقص تلاتة زائد
+
+361
+00:36:41,010 --> 00:36:44,990
+اتنين أقص تلاتة زائد اتنين تلبية زائد اتنين زائد
+
+362
+00:36:44,990 --> 00:36:51,130
+واحد طيب
+
+363
+00:36:51,130 --> 00:36:58,230
+هذا الكلام بصف على إيش نين
+
+364
+00:36:58,230 --> 00:37:01,130
+أقص I M ناقص
+
+365
+00:37:05,410 --> 00:37:18,150
+أربعة أربعة ال N أربعة ال إيش؟ هنا؟ لأ ليش؟
+
+366
+00:37:18,150 --> 00:37:24,170
+أه احنا هنا اتنين هنا تلاتة و هنا أربعة هنا غير
+
+367
+00:37:24,170 --> 00:37:28,990
+هذه التلاتة؟ هذه تلاتة وهذه أربعة صحيح بعدين؟
+
+368
+00:37:38,040 --> 00:37:44,260
+مظبوط الانجل هنا عبارة عن ايش الـ two أُس I M N
+
+369
+00:37:44,260 --> 00:37:57,520
+نقص I لأن هذا الكلام اللي ضايل خلّي
+
+370
+00:37:57,520 --> 00:38:04,660
+بالك أن هذا متتالي او لا لأ متتالية اتنين أُس أس I
+
+371
+00:38:04,660 --> 00:38:06,280
+I واحد
+
+372
+00:38:09,260 --> 00:38:14,520
+للتلاتة ماشي فهذا اتنين نقص I نقص واحد هو مجموعة
+
+373
+00:38:14,520 --> 00:38:17,960
+المتتالية هذه اللي هي بتتراكم معانا او بتتجمع
+
+374
+00:38:17,960 --> 00:38:25,020
+معانا اتنين نقص I M N نقص واحد زي اتنين I S I نقص
+
+375
+00:38:25,020 --> 00:38:28,260
+واحد خلاص ماشي الحالة بكمل محاضرجة ان شاء الله
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/bw1BTE5RDVY_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/bw1BTE5RDVY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..814583478b5ec98535bafffb42a7a83f4f40262a
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/bw1BTE5RDVY_postprocess.srt
@@ -0,0 +1,1876 @@
+1
+00:00:20,920 --> 00:00:22,980
+ماشي بسم الله الرحمن الرحيم الصلاة والسلام عليكم
+
+2
+00:00:22,980 --> 00:00:23,480
+ورحمة الله ورحمة الله ورحمة الله ورحمة الله ورحمة
+
+3
+00:00:23,480 --> 00:00:23,800
+الله ورحمة الله ورحمة الله ورحمة الله ورحمة الله
+
+4
+00:00:23,800 --> 00:00:25,240
+ورحمة الله ورحمة الله ورحمة الله ورحمة الله ورحمة
+
+5
+00:00:25,240 --> 00:00:27,800
+الله ورحمة الله ورحمة الله ورحمة الله ورحمة الله
+
+6
+00:00:27,800 --> 00:00:29,960
+ورحمة الله ورحمة الله ورحمة الله ورحمة الله ورحمة
+
+7
+00:00:29,960 --> 00:00:32,800
+الله ورحمة الله ورحمة الله ورحمة الله ورحمة الله
+
+8
+00:00:32,800 --> 00:00:34,920
+ورحمة الله ورحمة الله ورحمة الله ورحمة الله ورحمة
+
+9
+00:00:34,920 --> 00:00:39,680
+الله ورحمة الله ورحمة الله ورحمة الله ورحمة الله
+
+10
+00:00:39,680 --> 00:00:45,820
+ورحمة الله ورحمة الله ورحمة الله ورحمة الله ورحمة
+
+11
+00:00:46,200 --> 00:00:52,680
+الـ section اللي هو ستة أربعة ستة أربعة بتناول
+
+12
+00:00:52,680 --> 00:00:56,820
+موضوع ال heap وال heap sort ربما تكونوا انتوا مار
+
+13
+00:00:56,820 --> 00:01:01,100
+عليكم ال data structure هذه ال heap اللي هي عبارة
+
+14
+00:01:01,100 --> 00:01:06,900
+عن basically هي عبارة عن binary tree انا بذكركوا
+
+15
+00:01:06,900 --> 00:01:12,550
+على سبب ان ساعتكم تتذكروا يعني اهأحنا كنا أصلا في
+
+16
+00:01:12,550 --> 00:01:16,070
+المحاضرة الماضية كنا طلعنا على الـbalanced search
+
+17
+00:01:16,070 --> 00:01:20,790
+trees الـAVL والـ2 to 3 اللي هو الـAVL كانت عبارة
+
+18
+00:01:20,790 --> 00:01:24,550
+عن binary tree صح؟ برضه الآن الـheap الـheap
+
+19
+00:01:24,550 --> 00:01:32,550
+الـheap هو عبارة عن إيش؟ binary tree بس أصل أيوة
+
+20
+00:01:32,550 --> 00:01:35,690
+هذا الـmulti way كان اللي هو لما حكينا في الـ2 to
+
+21
+00:01:35,690 --> 00:01:40,760
+3 trees بعد هي على طول بيجي موضوعالـ heap و ال
+
+22
+00:01:40,760 --> 00:01:45,080
+heap sort فاحنا نبدأ من الأول من اللي هو شو
+
+23
+00:01:45,080 --> 00:01:48,820
+القصائص اللي بتخلينا نحكم على ال tree ال binary
+
+24
+00:01:48,820 --> 00:01:57,580
+tree إنها heap في خاصيتين أساسيات أنه تبقى فاحنا
+
+25
+00:01:57,580 --> 00:02:04,140
+بيقول a heap is a binary tree such
+
+26
+00:02:04,140 --> 00:02:06,400
+that أي الشرطين تبقونها
+
+27
+00:02:08,820 --> 00:02:17,200
+إنها تبقى complete أول شرط، إيش يعني complete؟
+
+28
+00:02:17,200 --> 00:02:22,340
+إن هي بيبقى كل ال nodes complete إيش يعني ال node
+
+29
+00:02:22,340 --> 00:02:26,240
+الواحدة تبقى complete؟ هي binary tree فال node
+
+30
+00:02:26,240 --> 00:02:31,040
+الواحدة بتاخد up to maximum يعني two children ال
+
+31
+00:02:31,040 --> 00:02:33,900
+node اللي ما أخدت فعلا two children هي ال complete
+
+32
+00:02:35,160 --> 00:02:37,860
+لما نكون كل الـ notes في كل ال levels ماخدين two
+
+33
+00:02:37,860 --> 00:02:41,020
+children بتكون الـ tree كلها complete طبعا هذا
+
+34
+00:02:41,020 --> 00:02:47,380
+الكلام ممكن مايتحققش في ال node الأخيرة يعني مثلا
+
+35
+00:02:47,380 --> 00:02:50,220
+احنا على الطرف الأخير مايكونش ضايق لعندي اصلا
+
+36
+00:02:50,220 --> 00:02:56,180
+nodes data يعني وبالتالي من وين اجيب؟ فإذا على ال
+
+37
+00:02:56,180 --> 00:03:01,020
+level الأخر وعلى أقصى اليمين في عندي some missing
+
+38
+00:03:01,020 --> 00:03:08,410
+leaf nodesخاصة leaf notes بتبقى شرط الكمبليتنس
+
+39
+00:03:08,410 --> 00:03:12,850
+متحقق يعني المهم ليه بيجي عشان يدي فوق واحدة من ال
+
+40
+00:03:12,850 --> 00:03:17,530
+parents اللي فوق مش ماخدة ال two children تبعونها
+
+41
+00:03:17,530 --> 00:03:21,750
+مش ماخدة two children انما اذا down على المستوى
+
+42
+00:03:21,750 --> 00:03:26,250
+الأخير مش المستوى الأخير هذا هاي المستوى الأخير في
+
+43
+00:03:26,250 --> 00:03:32,420
+الرسمة هذه هدولة إيش leaf notes صح؟Okay، ماشي،
+
+44
+00:03:32,420 --> 00:03:36,680
+الآن يفترض أنه كل المستوى هذا معبّى، leaf notes،
+
+45
+00:03:36,680 --> 00:03:41,200
+يعني كل ال parents اللي فوجيهم ماخدين، و لكن بنقول
+
+46
+00:03:41,200 --> 00:03:44,520
+ممكن مايبقاش أصلا في data، احنا headed literally
+
+47
+00:03:44,520 --> 00:03:47,720
+مش عشان نخزن فيها ده، مايبقاش، ال list اللي عندي
+
+48
+00:03:47,720 --> 00:03:54,220
+أو ال set اللي عندي هدد، فبنتقبل
+
+49
+00:03:54,220 --> 00:03:58,790
+ذلك و بنسميها، و بنعززها نعتبرها هنا completeف
+
+50
+00:03:58,790 --> 00:04:02,570
+complete يعني ان كل ال parent nodes مستوفيين
+
+51
+00:04:02,570 --> 00:04:05,950
+كفايتهم او مكتمل اللي هو عدد ال children عندهم
+
+52
+00:04:05,950 --> 00:04:09,010
+اللي هو two هذا الشرط الأول هذا أحيانا بيسميه
+
+53
+00:04:09,010 --> 00:04:14,250
+shape condition shape انه شكل ال tree مستوفي كل
+
+54
+00:04:14,250 --> 00:04:20,670
+node مستوفي ال nodes الشرط التاني انه يبقى ال node
+
+55
+00:04:20,670 --> 00:04:24,770
+الواحدة ال node ال parent each node
+
+56
+00:04:28,210 --> 00:04:33,110
+الـ children تبعونها مش كل node بيبقى فيها value
+
+57
+00:04:33,110 --> 00:04:37,630
+ال value هذا بنسميه key ال key تبع أي parent يكون
+
+58
+00:04:37,630 --> 00:04:44,710
+يساوي أو أكبر من ال children تمام؟
+
+59
+00:04:45,460 --> 00:04:51,620
+الذي ذكرته اعتقد هذا هو يعني فالان نطلع على هدول
+
+60
+00:04:51,620 --> 00:04:55,540
+ال examples عندي اللي على اليمين هناك و اللي في
+
+61
+00:04:55,540 --> 00:05:02,720
+النص هدول الاتنين مش heaps لسببين مختلفين الأولاني
+
+62
+00:05:02,720 --> 00:05:12,080
+لسبب ال completeness و ال value ال key greater
+
+63
+00:05:12,080 --> 00:05:13,500
+than اللي هو ال children
+
+64
+00:05:17,200 --> 00:05:22,260
+الـ value عندي الخمسة ال parent هذا في واحد من ال
+
+65
+00:05:22,260 --> 00:05:25,520
+children تبقى وأنا أكبر منه فهذا خارق لشرط ال
+
+66
+00:05:25,520 --> 00:05:29,280
+value أو ال heap condition هذا اسمه ال heap
+
+67
+00:05:29,280 --> 00:05:35,660
+condition وهذا ال shape condition تمام؟ واضح؟ واضح
+
+68
+00:05:35,660 --> 00:05:42,230
+أنه لو أنا بدلت هذول الأتنين الخمسة والستةبتصبح
+
+69
+00:05:42,230 --> 00:05:47,630
+heap وماضلش عندي خرق آخر صح؟ يعني اطلع ال 6 فوق و5
+
+70
+00:05:47,630 --> 00:05:53,570
+تحت هل
+
+71
+00:05:53,570 --> 00:05:58,750
+تصبح heap هل بتتحقق .. هل ب .. ب .. نعم عندي
+
+72
+00:05:58,750 --> 00:06:03,250
+missing leaf nodes بس جاي على أقصى اليمين فمش
+
+73
+00:06:03,250 --> 00:06:08,760
+إشكال ثم أنهكل ال parents هي السبعة الشال تبعها
+
+74
+00:06:08,760 --> 00:06:14,520
+أقل منها الست أصبح عشرة ماشي لأن هذه ال example هي
+
+75
+00:06:14,520 --> 00:06:18,820
+ده مش هي بسبب ال shape condition ان في عندي هنا
+
+76
+00:06:18,820 --> 00:06:23,920
+على اليمين parent مش ماخد كفيته مش ماخد مش مستكمل
+
+77
+00:06:23,920 --> 00:06:29,820
+عيسف على اليسار صح يعني على اليسار في parent مش
+
+78
+00:06:29,820 --> 00:06:34,490
+مستكفي اللي هو عدد ال children الكاملهذه heap
+
+79
+00:06:34,490 --> 00:06:43,650
+مافيش فيها أي مشكلة طيب ما .. طيب
+
+80
+00:06:45,520 --> 00:06:49,580
+الأن الـ properties هدول الأربعة هدى properties
+
+81
+00:06:49,580 --> 00:06:55,540
+مهمة انلاحظها في الـ heap انه خلّينا نيجي من الآخر
+
+82
+00:06:55,540 --> 00:07:00,600
+انه a heap can be represented as a an array طبعا
+
+83
+00:07:00,600 --> 00:07:04,780
+هذا مش حكر على ال heap أيه binary tree we can
+
+84
+00:07:04,780 --> 00:07:08,120
+represent it as an array طبعا عندنا خيار ان we
+
+85
+00:07:08,120 --> 00:07:14,410
+represent it with pointers يعنيبس ممكن أيضا
+
+86
+00:07:14,410 --> 00:07:22,350
+represent ال binary tree في array و ال heap كذلك و
+
+87
+00:07:22,350 --> 00:07:28,110
+ال heap أيضا يمكن تخزينه في array و هذه قضية مهمة
+
+88
+00:07:28,110 --> 00:07:31,690
+اللي انا هنشوف ليش فأول خاصية ان a heap can be
+
+89
+00:07:31,690 --> 00:07:36,850
+represented as an array قضية تانية ان اي sub tree
+
+90
+00:07:36,850 --> 00:07:42,490
+في ال heap is also a heapيعني أنا الآن بما .. بما
+
+91
+00:07:42,490 --> 00:07:45,710
+أنه هو heap ومتحقق فيه شرط الـ completeness وشرط
+
+92
+00:07:45,710 --> 00:07:49,770
+ال .. ال value هذا يبقى لو جيت أنا على أي node ..
+
+93
+00:07:49,770 --> 00:07:54,930
+نرجح هنا .. أي node في ال .. أي parent node هي
+
+94
+00:07:54,930 --> 00:07:59,350
+أيضا heap هي أيضا .. هي و ال .. و ال children
+
+95
+00:07:59,350 --> 00:08:05,060
+تبعونهاأه بصي على هدول التلاتة على إن هما إيش tree
+
+96
+00:08:05,060 --> 00:08:08,960
+binary tree صح هي binary هل هي heap؟ أي نعم heap
+
+97
+00:08:08,960 --> 00:08:16,380
+صح؟ وهذا الكلام على العموم في أي branch في ال heap
+
+98
+00:08:16,380 --> 00:08:19,820
+is also a heap أي branch في ال heap is also a heap
+
+99
+00:08:21,470 --> 00:08:27,130
+النقطة التالتة وهي برضه على درجة من الأهمية أن الـ
+
+100
+00:08:27,130 --> 00:08:30,410
+root contains the largest key الـ root اللي فوق
+
+101
+00:08:30,410 --> 00:08:34,910
+الـ tree إلى الـ root واحد الـ root هذا هو أكبر
+
+102
+00:08:34,910 --> 00:08:38,510
+هذا الكلام مش متحقق في ال other binary trees لا ال
+
+103
+00:08:38,510 --> 00:08:41,930
+AVL ولا ال binary search tree يعني ال binary
+
+104
+00:08:41,930 --> 00:08:46,210
+search tree تشترط أنهكل نود ال children تبعونها
+
+105
+00:08:46,210 --> 00:08:49,330
+اللي على شمالها أقل و اللي على يمينها أكبر فكون
+
+106
+00:08:49,330 --> 00:08:52,950
+اللي على يمينها أكبر منها يبقى دايما الكبير على
+
+107
+00:08:52,950 --> 00:08:57,300
+اليمين و على اليمين تحت كمانفالـ largest هنا الـ
+
+108
+00:08:57,300 --> 00:09:00,900
+largest في الـ root لكن في ال binary search tree
+
+109
+00:09:00,900 --> 00:09:05,180
+العادى ال largest بيكون على اليمين تحت، مظبوط؟
+
+110
+00:09:05,180 --> 00:09:09,020
+انما هنا في الـ root وهذا قضية مهمة ان نكون على
+
+111
+00:09:09,020 --> 00:09:13,740
+الـ root، هنشوف فيها الشغل الأخير اللي هي انه ال
+
+112
+00:09:13,740 --> 00:09:16,940
+height مافي علاقة ما بين ال height وعدد العناصر
+
+113
+00:09:16,940 --> 00:09:21,000
+احنا هنا نعيش عدد العناصر في هذه ال tree واحد
+
+114
+00:09:21,000 --> 00:09:25,400
+تلاتة وتلاتة ستة تمام؟في علاقة ما بين عدد العناصر
+
+115
+00:09:25,400 --> 00:09:29,900
+وعدد ال levels او ال height احنا بدنا نعتبر ان ال
+
+116
+00:09:29,900 --> 00:09:33,640
+height هو عدد ال levels ما دون ال root تحت ال root
+
+117
+00:09:33,640 --> 00:09:36,800
+يعني فجدش عندي ال height تبع هذه ال three؟ two
+
+118
+00:09:36,800 --> 00:09:41,360
+okay دايما دايما في ال heap ال height بيساوي ايش
+
+119
+00:09:41,360 --> 00:09:47,380
+ال log بيستولى من عدد العناصر floor يعني اذا عندي
+
+120
+00:09:47,380 --> 00:09:50,000
+انا ستة n بيساوي ستة
+
+121
+00:09:53,580 --> 00:09:57,520
+كداش ال log تبع الستة ال log تبع الأربعة اتنين وال
+
+122
+00:09:57,520 --> 00:10:00,500
+log تبع التمانية تلاتة فال log تبع الستة جاي ما
+
+123
+00:10:00,500 --> 00:10:03,740
+بين الأتنين والتلاتة يعني اتنين وكسور احنا بدنا ال
+
+124
+00:10:03,740 --> 00:10:08,340
+floor يعني يساوي اتنين وهذا الكلام قصي على الدوام
+
+125
+00:10:08,340 --> 00:10:12,920
+كداش في عندي nodes عددهم باخد ال log و باخد ال
+
+126
+00:10:12,920 --> 00:10:18,720
+floor تبع ال log بيكون هو ال height okay وهذا برضه
+
+127
+00:10:18,720 --> 00:10:24,210
+مهم الآنفي مسألة اللي هو الـ array representation
+
+128
+00:10:24,210 --> 00:10:27,150
+نطلع عليها على السريع انه ال .. ال .. ال heap لو
+
+129
+00:10:27,150 --> 00:10:31,590
+انا بده اعمله representation على شكل arrayهي عندي
+
+130
+00:10:31,590 --> 00:10:36,330
+مثال هذا الـ heap هذا اول شي heap ولا مش heap هاي
+
+131
+00:10:36,330 --> 00:10:40,910
+التسعة ال children تبعونها اقل وبعدين الفراغ جاي
+
+132
+00:10:40,910 --> 00:10:44,290
+على اليمين فهي heap صح؟ خمسة واحد اربعة تلاتة
+
+133
+00:10:44,290 --> 00:10:48,790
+اتنين الان لما بنعملها representation بدها تكون
+
+134
+00:10:48,790 --> 00:10:52,870
+التسعة هي اول عنصر في ال array بدي يكون اللي بعدها
+
+135
+00:10:52,870 --> 00:10:56,210
+على طول هم ال children تبعونها الخمسة والتلاتة
+
+136
+00:10:56,210 --> 00:11:00,940
+بيجي بعدهم على طولاللي هم الـ children تبعون مين؟
+
+137
+00:11:00,940 --> 00:11:05,800
+تبعون الخمسة و بعدين بيجي بقى دي هم ال children
+
+138
+00:11:05,800 --> 00:11:08,340
+تبعون التلاتة هنا مافيش شيء إلا التلاتة ماليها شيء
+
+139
+00:11:08,340 --> 00:11:15,480
+إلا ال child واحد فخلاص okay؟ تمام؟ فالأن بصفة
+
+140
+00:11:15,480 --> 00:11:21,860
+عامة ال left child لأي parent يقولي مثلا ال root
+
+141
+00:11:21,860 --> 00:11:29,240
+ال left child تبعه اللي هو الخمسةالـ left child
+
+142
+00:11:29,240 --> 00:11:33,320
+تبقى أي parent إذا الـ parent هذا واقع على
+
+143
+00:11:33,320 --> 00:11:39,460
+position J فالـ child تبقى على اتنين J هذا الـ
+
+144
+00:11:39,460 --> 00:11:42,400
+left child والـ right child بعده على طول اتنين J
+
+145
+00:11:42,400 --> 00:11:47,180
+زاد واحد خدي مثلا الخمسة مش الخمسة إذا parent من
+
+146
+00:11:47,180 --> 00:11:50,160
+ال left child تبقى على الواحد هي موجودة على اتنين
+
+147
+00:11:50,160 --> 00:11:56,030
+اتنين في اتنين اربعةصح هذا مين ال left child و 2
+
+148
+00:11:56,030 --> 00:11:59,690
+في 2 زي 1 اللي هو 4 زي 1 خمسة اللي هو ال right
+
+149
+00:11:59,690 --> 00:12:06,270
+child مظبوط وهذا على الدوام سواء في هذا ال heap
+
+150
+00:12:06,270 --> 00:12:11,850
+ولا في heap ما heap لو كان ال heap ما heap يعني
+
+151
+00:12:11,850 --> 00:12:20,750
+ضخم برضه حضرها الملاحظة هذه القائمةفهدوله ما يتعلق
+
+152
+00:12:20,750 --> 00:12:23,510
+بال right و ال left .. ما يتعلق بال children
+
+153
+00:12:23,510 --> 00:12:29,230
+والعكس منهم لو انا بدي واقف على child و بدي اعرف
+
+154
+00:12:29,230 --> 00:12:34,610
+وين ال parent تبعه ماشي خدي هذا ال child ايش اسوي
+
+155
+00:12:34,610 --> 00:12:38,470
+اجسم الآن خمسة على اتنين اللي هو اتنين و نص ال
+
+156
+00:12:38,470 --> 00:12:42,650
+floor تبعها اتنين اللي هو هذا فعلا هو هذا ال
+
+157
+00:12:42,650 --> 00:12:48,660
+parent تبعها و لو انا بحكي عنها دي برضه واحدتمام
+
+158
+00:12:48,660 --> 00:12:55,440
+فهدولة ال parent of node j is على ال floor of j
+
+159
+00:12:55,440 --> 00:13:04,320
+على 2 ماشي الحال الخاصية الرابعة انه النص الأولاني
+
+160
+00:13:04,320 --> 00:13:07,960
+من ال array هم ال parents و النص التاني هم ال leaf
+
+161
+00:13:07,960 --> 00:13:08,360
+nodes
+
+162
+00:13:21,280 --> 00:13:29,020
+تمام؟ عندي هنا N بيساوي ستة ا ن على اتنين floor
+
+163
+00:13:29,020 --> 00:13:34,800
+تبع حفظة أو تلاتة اول تلاتة notes هدول appearance
+
+164
+00:13:34,800 --> 00:13:41,740
+التسعة والخمسة والتلاتة ماشي؟
+
+165
+00:13:41,740 --> 00:13:47,480
+طيب وهذا مهم برضهلأنه كمان شوية هنشوف انه انا ال
+
+166
+00:13:47,480 --> 00:13:51,140
+algorithm تعتمد على انه اخد ال parents و ارجع فيهم
+
+167
+00:13:51,140 --> 00:13:54,820
+و ارجعهم فلازم ابدأ من ايش n على 2 و ارجع الجميع
+
+168
+00:13:54,820 --> 00:13:59,760
+طيب و الان هذا الملاحظات خلينا نلاحظهم على المثال
+
+169
+00:13:59,760 --> 00:14:03,800
+التاني هنا في عندنا ال tree اخرى موجود هنا هذا
+
+170
+00:14:03,800 --> 00:14:12,500
+مثال اخر عندى heap اكبر شوية عدد عناصره عشرة اه اه
+
+171
+00:14:13,000 --> 00:14:17,320
+و هي represented as an array ليش ايش؟ ليش فيش هنا
+
+172
+00:14:17,320 --> 00:14:27,460
+عنصر؟ نبدأ من الواحد عشان حكاية الـ 2J و الـ ..
+
+173
+00:14:27,460 --> 00:14:31,160
+تصبر و إلا بدأ دايما أضيف واحد عشان أجيب ال child
+
+174
+00:14:31,160 --> 00:14:34,400
+بدأ أضيف واحد أجيب ال parent بدأ أضيف واحد فلأ
+
+175
+00:14:34,400 --> 00:14:38,890
+احنا بنسيب ال answer هذا ال zero فاضيوبعد ذلك
+
+176
+00:14:38,890 --> 00:14:44,150
+بيصير الحسبة على طول مباشرة ال parent اي parent
+
+177
+00:14:44,150 --> 00:14:49,830
+سبعة وين ال children تبعونه ستة يعني هذا موجود على
+
+178
+00:14:49,830 --> 00:14:53,330
+position تلاتة فعلى طول بروح على ستة و اللي بعده
+
+179
+00:14:53,330 --> 00:14:57,350
+واحد و ستة هي السبعة واحد و ستة ال children تبعونا
+
+180
+00:14:57,350 --> 00:15:03,380
+okayو لو عندى beef و بدى اعرفوا ان ال parent بحها
+
+181
+00:15:03,380 --> 00:15:07,000
+تسعة موجودة على تسعة تسعة على اتنين اربعة و نص
+
+182
+00:15:07,000 --> 00:15:13,000
+يعني اربعة فهي تهيأ ال ال خمسة و هي الخمسة ال
+
+183
+00:15:13,000 --> 00:15:17,780
+child واضح تمام okay خلاص خلصنا من النقطة هذه اللي
+
+184
+00:15:17,780 --> 00:15:23,240
+هي ال representation of ال heap بدنا الان نحكي كيف
+
+185
+00:15:23,240 --> 00:15:25,900
+انا بدي اشكل ال heap كيف بدي اكون ال heap
+
+186
+00:15:25,900 --> 00:15:29,230
+constructingconstructing الـ heap لو عندي مجموعة
+
+187
+00:15:29,230 --> 00:15:36,850
+ال data هذه أصلا جايانة و بدى أخزنها في array
+
+188
+00:15:36,850 --> 00:15:43,470
+فالمسألة بسيطة أولا في عندي two approaches في حاجة
+
+189
+00:15:43,470 --> 00:15:46,470
+اسمها ال bottom-up و في ال top-down نطلع على ال
+
+190
+00:15:46,470 --> 00:15:49,110
+bottom-up في الأول ال bottom-up بيقول أن أول إشي
+
+191
+00:15:49,110 --> 00:15:52,930
+بحطهم في ال tree و مش ترطش أن ال tree هذه تكون
+
+192
+00:15:52,930 --> 00:15:58,240
+heap binary treeيعني زي ما بيجوني بروح ب .. ا .. ا
+
+193
+00:15:58,240 --> 00:16:00,720
+.. ا .. ا .. أكون الـ Tree بعد كده بحول ال Tree
+
+194
+00:16:00,720 --> 00:16:04,540
+إلى .. بحول البضل ال Tree إلى heap كيف بحولها؟ بإن
+
+195
+00:16:04,540 --> 00:16:12,060
+بافحص الشرطين الأساسيات وإذا في خرق بعدل عساس أظبط
+
+196
+00:16:12,060 --> 00:16:15,760
+فنطلع على الأمر هذا كالتالي في عندي هي ال list هذه
+
+197
+00:16:15,760 --> 00:16:21,560
+الصغيرة 2 9 7 6 5 8 بناخدهم واحد واحد ان كون ال
+
+198
+00:16:21,560 --> 00:16:27,090
+Tree لما بيجي الأتنيننعمله node بيجي بعدين التسعة
+
+199
+00:16:27,090 --> 00:16:30,550
+أنا بعمل ال N binary tree ولا حتى binary search
+
+200
+00:16:30,550 --> 00:16:34,350
+tree لاحظوا فيه فرق بين binary بس و binary search
+
+201
+00:16:34,350 --> 00:16:39,580
+ايش الفرق؟الـ binary بس كل ما تشترطه أن يكون لكل
+
+202
+00:16:39,580 --> 00:16:42,960
+node maximum two children الـ binary search تشترط
+
+203
+00:16:42,960 --> 00:16:47,440
+أن يكون الشمال أصغر و اليمين أكبر حلو فالآن بيجيني
+
+204
+00:16:47,440 --> 00:16:52,440
+الأتنين بحطوا .. بحط .. بتيجينا في التسعة بحط على
+
+205
+00:16:52,440 --> 00:16:55,100
+الشمال ماليش .. ال binary تاني أنا بحكي بحكيش
+
+206
+00:16:55,100 --> 00:16:58,560
+binary search بيجيني بعدين السابعة بحطها ال next
+
+207
+00:16:58,560 --> 00:17:02,800
+available position اللي هو هنا الآن أجت الستة when
+
+208
+00:17:02,800 --> 00:17:07,430
+ال next availableاللي هو شمال التسعة، هاي الستة
+
+209
+00:17:07,430 --> 00:17:11,050
+أجت بعد هي كمين؟ الخمسة ال next available يمين
+
+210
+00:17:11,050 --> 00:17:16,950
+التسعة بعد الشمال هاي التمام، تمام؟ خلاص هاي ال
+
+211
+00:17:16,950 --> 00:17:19,870
+letter E اللي أنا بده أحوّ ال letter E هذه إلى
+
+212
+00:17:19,870 --> 00:17:26,570
+heap فعلا المصطلح فيه مصطلح اسمه heapify heapify
+
+213
+00:17:26,570 --> 00:17:30,630
+اللي هو الفعل هذا heap noun الفعل منه to make a
+
+214
+00:17:30,630 --> 00:17:37,380
+heapيعني تحوّل الشيء إلى heap هيبفاي فبدنا نعمل
+
+215
+00:17:37,380 --> 00:17:43,340
+تحويل فإيش بنسوي بنطلع على الشرطين أولا الشرط
+
+216
+00:17:43,340 --> 00:17:47,290
+الأول متحقق by defaultلأنه انا لما بدأت اكوّن ..
+
+217
+00:17:47,290 --> 00:17:50,450
+ايوه الـ completeness لما بدأت اكوّن في ال binary
+
+218
+00:17:50,450 --> 00:17:54,590
+تريادة اكوّنتها بطريقة top down ومشيت left to
+
+219
+00:17:54,590 --> 00:17:58,890
+right فمتحقق الشرط التاني اللي هو ال value هو اللي
+
+220
+00:17:58,890 --> 00:18:02,510
+بدأ افحصه بدأ اجي على ال leaf nodes في هن دي هنا
+
+221
+00:18:02,510 --> 00:18:08,210
+تلاتة leaf nodes، مصبوط؟ بدأ اجي من الآخر وافحص هل
+
+222
+00:18:08,210 --> 00:18:15,260
+والله ال leaf هذه مع ال parent بتاعهاأضهم سليم؟ لأ
+
+223
+00:18:15,260 --> 00:18:20,720
+فبدأش أبدل خلّي بالك أنا قولت أتوي أنه بدأ أجي لل
+
+224
+00:18:20,720 --> 00:18:25,380
+leaf notes هو أنا عمليا باجي لل parents باجي لل
+
+225
+00:18:25,380 --> 00:18:29,180
+parents من الأخر و أنا قولت قبل شوية أنه مهم أنه
+
+226
+00:18:29,180 --> 00:18:32,200
+ال parent أنه احنا عارفين أن ال parent موجود ال
+
+227
+00:18:32,200 --> 00:18:36,080
+parent الأخير موجود على n على 2 ففي القراي على طول
+
+228
+00:18:36,080 --> 00:18:40,990
+بقدر أروح له مباشرةصح؟ يعني هذا الأمر لو أنا الآن
+
+229
+00:18:40,990 --> 00:18:49,210
+عندي array هذا ال .. ايه
+
+230
+00:18:49,210 --> 00:18:52,650
+نعم لو أنا الآن عندي هدف array هيكون العناصر جايين
+
+231
+00:18:52,650 --> 00:18:57,450
+زي هيك هم مجدش واحد اتنين تلاتة ستة هي التسعة لأ
+
+232
+00:18:57,450 --> 00:19:04,570
+اتنين في الأول و بعدين تسعة و بعدين سبعة ستةخمسة
+
+233
+00:19:04,570 --> 00:19:09,690
+بعدين تمانية تمام الان هذه ال array represent ال
+
+234
+00:19:09,690 --> 00:19:15,530
+binary tree بتحولها الان إلى heap ف ال rule بتقول
+
+235
+00:19:15,530 --> 00:19:18,870
+لي ان ال last parent هيكون موجود على وين ان على
+
+236
+00:19:18,870 --> 00:19:23,430
+اتنين floor ويساوي ستة على اتنين ويساوي تلاتة
+
+237
+00:19:23,430 --> 00:19:27,070
+فبنروح على تلاتة طبعا ايش احنا فاهمين ان ال zero
+
+238
+00:19:27,070 --> 00:19:32,200
+هذا فاضي بروح على تلاتةفباخد السابعة السابعة هي ال
+
+239
+00:19:32,200 --> 00:19:36,420
+last parent بتطلع على ال child تبعها اللي هو ايش
+
+240
+00:19:36,420 --> 00:19:41,100
+تلاتة في اتنين ستة هاي اربعة هاي خمسة هاي ستة هاي
+
+241
+00:19:41,100 --> 00:19:45,840
+اتنين هاي واحد هذا يعني ال child بقارنه بال parent
+
+242
+00:19:45,840 --> 00:19:50,920
+بلاقي ايش اكبر فبروح بعمل switch هنا هنا هذا عبارة
+
+243
+00:19:50,920 --> 00:19:57,280
+عن يعنيبشكل رسومي يوضح الفكرة كمان شوية هنشوف ال
+
+244
+00:19:57,280 --> 00:20:00,440
+algorithm اللي بتعمل الكلام هذا فعليا على القراية
+
+245
+00:20:02,980 --> 00:20:07,660
+Okay خلاص الان واضحه من صلاح الان بنروح على ال
+
+246
+00:20:07,660 --> 00:20:11,480
+next parent اللي هو التسعة تسعة سليم واضحة ال next
+
+247
+00:20:11,480 --> 00:20:15,800
+parent اللي هو ال root واضحه مش سليم ايش هسوي؟ بدي
+
+248
+00:20:15,800 --> 00:20:22,740
+اخد ال largest child مش معقول اروح اخد هذا و ارفعه
+
+249
+00:20:22,740 --> 00:20:26,740
+و بعدين الاجي انه والله لسه اصغر من ال child لأ من
+
+250
+00:20:26,740 --> 00:20:32,270
+أولها باخد ال largest و بنهيفبيجي من التسعة فوق
+
+251
+00:20:32,270 --> 00:20:38,470
+الآن الاتنين لما نزلت صار فيه خلل اه فالان بده
+
+252
+00:20:38,470 --> 00:20:40,830
+اطلع على ال children و بدلها بالست خلاص من صلاح
+
+253
+00:20:40,830 --> 00:20:48,210
+الوضع سنة ستة واضح هيك انا عملت heapifying ل ال
+
+254
+00:20:48,210 --> 00:20:52,950
+binary tree و أصبحت heap طلع على الكلام هذا على
+
+255
+00:20:52,950 --> 00:20:59,070
+شكل algorithm okay في عندنا ال algorithm فيهاالـ
+
+256
+00:20:59,070 --> 00:21:01,770
+two loops في الـ wild loop الداخلية و في الـ four
+
+257
+00:21:01,770 --> 00:21:07,210
+loop الخارجية تمام؟ الـ algorithm هذه constructs a
+
+258
+00:21:07,210 --> 00:21:10,130
+heap from the elements of a given array عندي array
+
+259
+00:21:10,130 --> 00:21:18,420
+الـ array هذه بدنا نحولها إلى إيش؟ إلى heapby the
+
+260
+00:21:18,420 --> 00:21:22,120
+bottom up algorithm ال input عبارة عن array of
+
+261
+00:21:22,120 --> 00:21:25,720
+orderable items ال array اسمه H وال output برضه هي
+
+262
+00:21:25,720 --> 00:21:30,940
+ال array نفسها بس بعد ما نكون حولناها لهيه for I
+
+263
+00:21:30,940 --> 00:21:38,420
+بيبدأ من وين من N على 2 هنا عندنا N سوى 6 وبالتالي
+
+264
+00:21:38,420 --> 00:21:46,860
+N على 2 ثلاثة فهذا I الآن I ثلاثة وهو Iبناخده و
+
+265
+00:21:46,860 --> 00:21:51,880
+نرجع رجوع صح ناخد من عنده و نرجع رجوع في ال
+
+266
+00:21:51,880 --> 00:21:55,500
+parents عند كل parent بدنا نفحص ال children تبعهم
+
+267
+00:21:55,500 --> 00:22:00,220
+okay قبل ما نروح نفحص بس بدنا ناخد شوية values في
+
+268
+00:22:00,220 --> 00:22:06,700
+الأول بدنا مؤشر اسمه K يشاور على نفس ال I بعدين ال
+
+269
+00:22:06,700 --> 00:22:14,560
+value اللي موجود في K هذا H of K بدنا ايش هنخزنه
+
+270
+00:22:14,560 --> 00:22:15,180
+في V
+
+271
+00:22:17,880 --> 00:22:21,100
+V هو عبارة عن الـ value تبع ال parent عشان لما
+
+272
+00:22:21,100 --> 00:22:26,760
+نقارنه بال children الآن بدأتنا بدنا نرفع flag
+
+273
+00:22:26,760 --> 00:22:30,780
+اسمه heap بدنا نقول عنه ال force أنه يعني أيه اللي
+
+274
+00:22:30,780 --> 00:22:37,840
+أمامنا مش heap لما نخلص هذا بيكون صار ال true الآن
+
+275
+00:22:37,840 --> 00:22:40,760
+هاد ال while عشان نلف على مين؟ على ال children
+
+276
+00:22:40,760 --> 00:22:46,830
+تبعون ال I أو اللي هو الان انه K okaywhile not
+
+277
+00:22:46,830 --> 00:22:53,330
+heap وهو كذلك and اتنين ضرب K اقل من او تساوي in
+
+278
+00:22:53,330 --> 00:22:56,430
+يعني ايش اتنين ضرب K يعني لل children احنا لسه
+
+279
+00:22:56,430 --> 00:23:01,990
+ماخلصنا همش مش اتنين ضرب K هو ال left child مش K
+
+280
+00:23:01,990 --> 00:23:04,890
+بتساوي تلاتة اللي متأشر الآن على ال parent اتنين
+
+281
+00:23:04,890 --> 00:23:10,250
+ضرب K اللي هو ال left child واللي بعده هذا بدنا
+
+282
+00:23:10,250 --> 00:23:12,370
+مؤشر على اللي هو ال left child
+
+283
+00:23:15,980 --> 00:23:24,260
+لاحظ ان هنا مافيش right child صح ال heap مافيش فيه
+
+284
+00:23:24,260 --> 00:23:30,140
+right child السبعة مالهاش right child هنحط ال
+
+285
+00:23:30,140 --> 00:23:37,780
+value هذا هنا h of k ويساوي عندنا سبعة طيب ال line
+
+286
+00:23:37,780 --> 00:23:43,060
+j بتأشر على مين على 2 ضرب k اللي هي ال lifted
+
+287
+00:23:43,060 --> 00:23:50,160
+childOkay إذا الـ J أقل من N شو معناته هذا إذا الـ
+
+288
+00:23:50,160 --> 00:23:54,820
+J أقل من N الـ J بيساوي 6 الـ J مش الانصر على ال
+
+289
+00:23:54,820 --> 00:24:01,220
+index تبعه فإذا هنا J هي ال left child تبع آخر
+
+290
+00:24:01,220 --> 00:24:06,180
+parent و هذا ال left child واقع على آخر ال array
+
+291
+00:24:06,180 --> 00:24:12,400
+يبقى مافي right child إذا لسه الـ Jأقل من ال N
+
+292
+00:24:12,400 --> 00:24:17,420
+يعني لسه فيه كمان هو هيكون had a right child فإذا
+
+293
+00:24:17,420 --> 00:24:22,120
+ال J أقل من N يبقى there are two إذا أقل من N
+
+294
+00:24:22,120 --> 00:24:27,240
+there are two children إذا بتساوي ففيش اللي واحد
+
+295
+00:24:27,240 --> 00:24:34,440
+فإذا والله فيه child تاني فبدنا نروح عليه okay
+
+296
+00:24:34,440 --> 00:24:40,350
+بدنا نروح عليهمافيش شايل هنا بس لو فيه موجود child
+
+297
+00:24:40,350 --> 00:24:44,390
+تاني كان هيبقى جاعد هنا لما احنا ضربنا ال K في
+
+298
+00:24:44,390 --> 00:24:49,250
+اتنين كنا جيهة هتكون اجت على ال left child و هو
+
+299
+00:24:49,250 --> 00:24:53,690
+جاية جنبه بس مافيش شيء بس لو فيه كنا هنروح ننتجل
+
+300
+00:24:53,690 --> 00:25:01,790
+اليه عشان نرجع okay okay مش بس اللي هنتجل اللي
+
+301
+00:25:01,790 --> 00:25:06,210
+ايضا كمان هنفحص هل قبل ما ننتجل هنفحص
+
+302
+00:25:08,600 --> 00:25:14,400
+إيش؟ هنفحص مين منهم الأتنين هدولة أكبر؟ أصلا أنا
+
+303
+00:25:14,400 --> 00:25:18,620
+ليش بدي أنتج العيلة للتاني؟ بس إذا هو أكبر بدي
+
+304
+00:25:18,620 --> 00:25:24,060
+أنتجله عليه إذا في child تاني وقارنت ولجيت إنه
+
+305
+00:25:24,060 --> 00:25:29,460
+والله نفترض إنها تلتاشر لجيت إنه ال child التاني
+
+306
+00:25:30,650 --> 00:25:37,330
+تاني J plus one أكبر من ال left معناته بدي أشور
+
+307
+00:25:37,330 --> 00:25:43,070
+عليه عشان بعدين أبدل بالظبط أبدل مع مين مع ال K
+
+308
+00:25:43,070 --> 00:25:46,870
+اللي هو ال parent بس عندنا في حالتنا هذه مافيش شيء
+
+309
+00:25:46,870 --> 00:25:56,270
+يبقى لأ هاجدم ال J ولا هبدل ال children هفحص حاجة
+
+310
+00:25:56,270 --> 00:26:02,960
+تانيةخلاص هو child واحد ماشي بتفحص هو هذا ال child
+
+311
+00:26:02,960 --> 00:26:12,480
+إذا ال value اللي هو ال value تبع ال parent أكبر
+
+312
+00:26:12,480 --> 00:26:19,460
+من أكبر من إيش؟ من ال child إذا
+
+313
+00:26:19,460 --> 00:26:23,910
+ال value تبع ال parentأكبر من الـ child يبقى احنا
+
+314
+00:26:23,910 --> 00:26:27,870
+في السليم تمام؟ خلي بالك انه هذا ال condition لو
+
+315
+00:26:27,870 --> 00:26:32,070
+من ييجي بعد هذا ال condition ويكون هنا هذا ال
+
+316
+00:26:32,070 --> 00:26:37,190
+condition متحقق ان هم two هذا ال condition اذا هم
+
+317
+00:26:37,190 --> 00:26:43,540
+two هكون ال J بتأشر على مين؟ على الكبير فيهملأن
+
+318
+00:26:43,540 --> 00:26:48,420
+انتقال الجهة فقط في حالة ما يكون اليمين أكبر إذا
+
+319
+00:26:48,420 --> 00:26:53,580
+الشمال هو الأكبر الجهة تبقى على الشمال إذا اليمين
+
+320
+00:26:53,580 --> 00:26:58,220
+أكبر الجهة تنتقل يبقى أنا بعد ما أخرج من هنا و أصل
+
+321
+00:26:58,220 --> 00:27:02,750
+هناالـ AJ هتكون بتأشر على الكبير فانا قاعد بقارن
+
+322
+00:27:02,750 --> 00:27:07,270
+الكبير بالليش بال parent صح؟ إذا لجيت أن ال parent
+
+323
+00:27:07,270 --> 00:27:13,250
+أكبر من الكبير يبقى احنا في السليم وإلا else بروحش
+
+324
+00:27:13,250 --> 00:27:19,910
+بسوي ببدل مين مع مين ال J هو ال child الكبير مع ال
+
+325
+00:27:19,910 --> 00:27:25,530
+parent صح؟ okay okay
+
+326
+00:27:25,530 --> 00:27:33,440
+فهذا الكلامصح حاصل عندي ان الـ child ال parent مش
+
+327
+00:27:33,440 --> 00:27:41,000
+أكبر فبروح ببدل ايش ببدل ال values هذه صح؟ مظبوط
+
+328
+00:27:41,000 --> 00:27:48,420
+هيك التمانية بتيجي هنا والسبعة بتيجي هنا okay
+
+329
+00:27:48,420 --> 00:27:52,780
+بعدين
+
+330
+00:27:52,780 --> 00:27:59,350
+بحط الآنالـ value اللي أجعله بعد عملية التبديل
+
+331
+00:27:59,350 --> 00:28:12,670
+بحطه هو في V اذا V
+
+332
+00:28:12,670 --> 00:28:23,630
+أكبر فالـ heap تمام وإلا ببدل و بخل مين ال K تشير
+
+333
+00:28:23,630 --> 00:28:24,010
+إلى
+
+334
+00:28:27,120 --> 00:28:33,560
+بخلّي الـ K تشير إلى الـ J صح؟ طيب لأن ال value
+
+335
+00:28:33,560 --> 00:28:39,980
+هذا اه لسه احنا عمليا انا اسف عمليا اللي حصل هنا
+
+336
+00:28:39,980 --> 00:28:45,120
+فقط ان احنا حطينا مين؟ حطينا ان شو ما كانوا زي هيك
+
+337
+00:28:45,120 --> 00:28:49,000
+هنا ايش هذا بتقول ليه؟ جيب من الجهة وحط على ال K
+
+338
+00:28:49,000 --> 00:28:53,320
+تمام؟ جيبنا من الجهة وحطينا على ال K بس لسه ضايق
+
+339
+00:28:53,320 --> 00:28:57,250
+الجهة هي التمانية لان بجيب من ال Vبجيب من الفيه و
+
+340
+00:28:57,250 --> 00:29:02,590
+بحط فيه خلاص هذه بس تتمت عملية ال .. و ليش طالع
+
+341
+00:29:02,590 --> 00:29:06,770
+برا لأنه بعد ما نكون احنا حددنا مين الكبير و
+
+342
+00:29:06,770 --> 00:29:12,150
+بدلناه بروح بجيب ال value و بحطه مكان الكبير هي
+
+343
+00:29:12,150 --> 00:29:17,080
+كذا بقول ان انا خلصت من ال wild loop هذهwild loop
+
+344
+00:29:17,080 --> 00:29:19,740
+هذه اللي قلنا بتغطي لـ children تبقى parent واحد
+
+345
+00:29:19,740 --> 00:29:22,700
+برجع عشان اجيب ال parent اللي بعده ال parent اللي
+
+346
+00:29:22,700 --> 00:29:26,540
+بعده تذكري ان انا بادي من وين من التلاتة و بدرجة ع
+
+347
+00:29:26,540 --> 00:29:31,140
+الجود down to one فالان ال K بدت تشاور إلى I I
+
+348
+00:29:31,140 --> 00:29:35,560
+نزلت صح نزلت بدرجة إلى اتنين فال K الان بدت تشاور
+
+349
+00:29:35,560 --> 00:29:38,980
+بعدين
+
+350
+00:29:38,980 --> 00:29:44,200
+ال V بدت تصير القيمة اللي مشارقلها التسعة
+
+351
+00:29:47,960 --> 00:29:57,300
+الـ Heap is false الـ Heap
+
+352
+00:29:57,300 --> 00:30:02,100
+is false ماذا
+
+353
+00:30:02,100 --> 00:30:05,920
+نفعل؟
+
+354
+00:30:05,920 --> 00:30:09,540
+نعيد نفس الأشياء التسعة هدى نشوف الـ Children
+
+355
+00:30:09,540 --> 00:30:15,740
+تبعناهم الست والخمسة وصلنا للـالـ J الان ده يصير
+
+356
+00:30:15,740 --> 00:30:19,100
+ايش اتنين في K اتنين في اتنين اللي هي اربعة هاي
+
+357
+00:30:19,100 --> 00:30:25,320
+الـ J بتشور على الأربعة و بعدين اذا الـ J أقل من
+
+358
+00:30:25,320 --> 00:30:31,040
+ال N الـ J الان أربعة أقل من الاش من الستة يبقى
+
+359
+00:30:31,040 --> 00:30:37,320
+فيه children طبعا طبعا مش يدرين او ممكن يكون ال
+
+360
+00:30:37,320 --> 00:30:44,880
+child هي ده تبقى parent آخرانا الان واقف هاي
+
+361
+00:30:44,880 --> 00:30:50,040
+التسعة ال parent حسبة lift ال child تبعها و قاعد
+
+362
+00:30:50,040 --> 00:30:54,440
+بقوللي انه ال j إذا ال j أقل من n و هي كذلك الآن
+
+363
+00:30:54,440 --> 00:30:58,920
+ال n بستة و ال j بتشاور على أربعة فحتما في two
+
+364
+00:30:58,920 --> 00:31:03,500
+children هل هذا صحيح؟ إيش يدرين؟ يمكن هذا ال child
+
+365
+00:31:04,550 --> 00:31:07,930
+هي أنا واجب على الست اللي هي child للتسعة يمكن
+
+366
+00:31:07,930 --> 00:31:12,830
+اللي بعدها child ل parent تاني مستحيل صح؟ لأنه
+
+367
+00:31:12,830 --> 00:31:17,930
+left شرط ال completeness ايوة لازم يكونوا الاتنين
+
+368
+00:31:17,930 --> 00:31:23,450
+children جاعدين جان بعض okay فهو أنا جيل بتشاور
+
+369
+00:31:23,450 --> 00:31:26,910
+على أربعة و أربعة و لسه فيه كمان يبقى اللي بعده هو
+
+370
+00:31:26,910 --> 00:31:32,670
+الأخو ال right childفبنعيد الموضوع هذا مرة أخرى
+
+371
+00:31:32,670 --> 00:31:38,310
+وكل مرة فإحنا لما بنرجع رجوع من ال bottom up وكل
+
+372
+00:31:38,310 --> 00:31:47,130
+مرة بنتأكد إنه ال node خلصنا لهذا عملنا heap و هذي
+
+373
+00:31:47,130 --> 00:31:50,470
+و اللي بعدها و اللي بعدها وبالتالي بيكتمل ال ..
+
+374
+00:31:50,470 --> 00:31:58,220
+بيكتمل اللي هو heapifying ال arrayطيب الان بعد هيك
+
+375
+00:31:58,220 --> 00:32:04,240
+خلاص بيصير عملية ال sorting بسيطة جدا اول اشي لاحظ
+
+376
+00:32:04,240 --> 00:32:09,140
+ان الكلام ده كله هو أبعاد transformation عملت على
+
+377
+00:32:09,140 --> 00:32:15,660
+ال data حولتها من مجرد binary tree الى heap هذا
+
+378
+00:32:15,660 --> 00:32:21,580
+representation change بعد ما صارت heap لو بدعمل
+
+379
+00:32:21,580 --> 00:32:27,130
+sort الاناستنادا إلى الحقيقة اللي هي انه الـ root
+
+380
+00:32:27,130 --> 00:32:31,750
+node هي ال largest ال
+
+381
+00:32:31,750 --> 00:32:44,610
+sorting هو انه أصبح باجي باخد ال root هذه هي
+
+382
+00:32:44,610 --> 00:32:50,990
+ال .. ال .. ال .. ال heap بعد ما صار heap هذا
+
+383
+00:32:50,990 --> 00:32:56,390
+باخدهباخد وش بسوي و بعمله delete باخد و بطلّه
+
+384
+00:32:56,390 --> 00:33:02,270
+output و بعمله delete لما اعمله delete بدي ارجع
+
+385
+00:33:02,270 --> 00:33:10,590
+العناص اللي ضايقين ايه هاي انا عملتله delete هاي
+
+386
+00:33:10,590 --> 00:33:14,730
+ال array هاي ال array هاي الموضوع ال zeroالان
+
+387
+00:33:14,730 --> 00:33:19,290
+التسعة جاي هنا صح؟ بعد الـ hipifying مين بعدها؟ ال
+
+388
+00:33:19,290 --> 00:33:23,850
+.. ال child الأولى دي اللي هو ستة صح؟ بعدين
+
+389
+00:33:23,850 --> 00:33:29,930
+التمانية، مظبوط؟ بعدين بيجي الأتنين، بعدين الخمسة،
+
+390
+00:33:29,930 --> 00:33:34,490
+بعدين السبعة، صح؟ okay الان أنا عملت delete لهذا،
+
+391
+00:33:34,490 --> 00:33:38,650
+أخدته، طلعته، قطعته، عملت delete تفضلي اللي باقي
+
+392
+00:33:38,650 --> 00:33:45,380
+هذا عمليله hipifying إيش هالهينتوج؟هتتصدر التمانية
+
+393
+00:33:45,380 --> 00:33:51,680
+بالظبط كل مرة بياخد ال route بيشيله و بيعمل
+
+394
+00:33:51,680 --> 00:33:55,340
+heapifying هو it doesn't have يعني انه هذا بس بشطب
+
+395
+00:33:55,340 --> 00:33:59,320
+عليها و بيشتغل علي الباقي اعمل heapifying لهذه
+
+396
+00:33:59,320 --> 00:34:04,100
+هتتصدر التمانية ماشي و يعاد تشكيل تماما يعني كل
+
+397
+00:34:04,100 --> 00:34:06,980
+letter هذه هتصبح letter مختلفة هتيجي التمانية ك
+
+398
+00:34:06,980 --> 00:34:12,580
+route و بعدها ال ايش ال 6 وال7 تمام
+
+399
+00:34:14,510 --> 00:34:19,550
+بعدين هتيجي مثلا الأتنين والخمسة مش متأكد أن هذا
+
+400
+00:34:19,550 --> 00:34:21,430
+الكلام هو اللي هتصير بس المهم اللي هتصير أن
+
+401
+00:34:21,430 --> 00:34:26,230
+التمانية هتيجي في ال root و هتيجي أول ال array
+
+402
+00:34:26,230 --> 00:34:30,490
+فهيشيلها بعد ما تكون أجد هنا هيشيلها و يشتغل على
+
+403
+00:34:30,490 --> 00:34:34,310
+اللي بعدين يعملهم heapifying وبالتالي كل واحدة
+
+404
+00:34:34,310 --> 00:34:37,850
+بتطلع و اللي بعدها بتطلع بكون هو بال sort order
+
+405
+00:34:37,850 --> 00:34:43,310
+تبع ال list okay فهذا الكلام الآن ال heap sort هو
+
+406
+00:34:43,310 --> 00:34:47,370
+عبارة عن أنهto construct a heap from a given list
+
+407
+00:34:47,370 --> 00:34:52,910
+of N keys بعدين repeat ال operations of root
+
+408
+00:34:52,910 --> 00:34:59,430
+removal N نقص واحد times N نقص واحد يعني انت هتعمل
+
+409
+00:34:59,430 --> 00:35:02,630
+كل عناصر معدل الأخير لأي شي خلاص هيطلع لحاله
+
+410
+00:35:02,630 --> 00:35:10,930
+exchange ال keys in the root and in the last leaf
+
+411
+00:35:12,010 --> 00:35:16,410
+Okay؟ Decrease the heap size by one الخطوات هذه
+
+412
+00:35:16,410 --> 00:35:23,250
+بتتم بالقالية التالية عملية ال deleting نذكر هنا
+
+413
+00:35:23,250 --> 00:35:26,630
+أن عملية ال deleting في ال heap بتتم بالقالية
+
+414
+00:35:26,630 --> 00:35:33,370
+التالية أن هاي أندي ال heap بدي أعمل delete للتسعة
+
+415
+00:35:33,370 --> 00:35:41,740
+بروح و أناش مستبدلها بآخر leafالسبعة والتسعة بيصير
+
+416
+00:35:41,740 --> 00:35:47,560
+السبعة هنا والتسعة هنا okay وبشيلها خلاص أنا لما
+
+417
+00:35:47,560 --> 00:35:52,580
+أشيل هذه مش هتأثر على أي حد بعدين بعمل heapify
+
+418
+00:35:52,580 --> 00:35:58,060
+للاضاءة بيصير أسهل أن أعمل heapify هنا من أن أعمل
+
+419
+00:35:58,060 --> 00:36:03,800
+heapify لها okay فإيش اللي بيصير انه بقارن خلاص
+
+420
+00:36:03,800 --> 00:36:09,500
+هذه راحت صارت هذه leaf okayالان انا عند هدولة
+
+421
+00:36:09,500 --> 00:36:14,940
+already في السليم هذا الان هذا ال parent وضعه سليم
+
+422
+00:36:14,940 --> 00:36:17,640
+لانه اصلا ماعندهش children هذا ال parent وضعه سليم
+
+423
+00:36:17,640 --> 00:36:22,080
+لانه اصلا sorted او يعني هذا الان هذا في مشكلة
+
+424
+00:36:22,080 --> 00:36:29,080
+ببدل من ال تمانية والسبعة ضال عندك اشي ماضلش اشي
+
+425
+00:36:29,080 --> 00:36:34,460
+هذا ال branch سليم هذا ال branch سليم لانه اصلا
+
+426
+00:36:34,460 --> 00:36:42,990
+مافيش شيالو children وهذا سليم لأنه بدلنا هذا كل
+
+427
+00:36:42,990 --> 00:36:48,390
+اللي دل عشان اعمل heapifying ل heap ان فقد الرأس
+
+428
+00:36:48,390 --> 00:36:53,250
+تبعه فقد الرأس لأنه انا ماروحتش اعمل delete روحت
+
+429
+00:36:53,250 --> 00:37:01,150
+بدلت والان انا decreased ال array size الى N-1
+
+430
+00:37:01,150 --> 00:37:07,310
+خلاص طنشت هذا الاخير طنشتعاملينا بعد ما اخلص ال
+
+431
+00:37:07,310 --> 00:37:11,270
+process هذي هيطلع التسعة ورا التمانية ورا السبعة
+
+432
+00:37:11,270 --> 00:37:15,530
+ورا الستة هيطلعوا مرتبين in reverse order reverse
+
+433
+00:37:15,530 --> 00:37:20,890
+order okay فهذه الخطوات اللي هنا اول اشي مرة تانية
+
+434
+00:37:20,890 --> 00:37:24,470
+بنقول اول اشي construct ال heap تاني اشي repeat
+
+435
+00:37:24,470 --> 00:37:27,270
+الكلام هذا اللي هو ال route removal ال route
+
+436
+00:37:27,270 --> 00:37:31,390
+removal يشتمل عليه اول اشي exchange ال key اللي في
+
+437
+00:37:31,390 --> 00:37:35,330
+ال route مع ال lastالـ rightmost leaf بعدين
+
+438
+00:37:35,330 --> 00:37:41,130
+decrease ال heap size by one لأن إذا necessary
+
+439
+00:37:41,130 --> 00:37:45,450
+swap ل new root with the larger child هذا ال new
+
+440
+00:37:45,450 --> 00:37:48,610
+root واحد من ال two children ربما يكون أكبر منه
+
+441
+00:37:48,610 --> 00:37:52,550
+فبنبدله و خلاص انتهي الجزء بيصير أنا عملت .. بكرر
+
+442
+00:37:52,550 --> 00:37:57,010
+هذا الكلام إلى حد ما أصل ل N بتساوي واحد بيكونوا
+
+443
+00:37:57,010 --> 00:38:01,210
+اترتبوا اترتبوا تساعدى
+
+444
+00:38:05,080 --> 00:38:12,280
+هذه هي معناة جيجا فانا احنا الآن هذا ال heap
+
+445
+00:38:12,280 --> 00:38:17,020
+construction خلصنا منها صار عندي ال heap شكله هيك
+
+446
+00:38:17,020 --> 00:38:22,240
+ال data دخلت اتنين تسعة سبعة ستة فوهي بتدخل
+
+447
+00:38:22,240 --> 00:38:30,420
+انعملها construction و بعدين يعني دخلت بالبطيرة او
+
+448
+00:38:30,420 --> 00:38:33,620
+ترتبوا بالشكل اللي دخلوا فيه بعدين عملناش
+
+449
+00:38:36,020 --> 00:38:41,040
+عملنا ايش عملنا مهيبفاين فصاروا هيك الان بدنا نعمل
+
+450
+00:38:41,040 --> 00:38:46,880
+sorting فبنروح ايه ايش قلنا بنبدل exchange
+
+451
+00:38:46,880 --> 00:38:51,320
+swap تسعة مع السبعة تسعة اللي هي ال root مع السبعة
+
+452
+00:38:51,320 --> 00:38:55,660
+اللي هي rightmost child الان خلاص بالتسعة هده
+
+453
+00:38:55,660 --> 00:39:00,560
+بنحجز جبلها okay لما نعيد نفس الشيء ايش نسوي
+
+454
+00:39:00,560 --> 00:39:07,440
+removeRemove مين؟ Remove .. لأ، هنا قبل ما
+
+455
+00:39:07,440 --> 00:39:12,140
+نـRemove الـ7 إلى الـ2 Children تيجي الـ8 قبل، صح؟
+
+456
+00:39:12,140 --> 00:39:17,400
+وتنزل الـ7 كـChild الآن، خلاص، هذا الأن هو Remove
+
+457
+00:39:17,400 --> 00:39:20,820
+it كيف نـRemove it؟ أو Delete الـRoot يعني؟ بإنه
+
+458
+00:39:20,820 --> 00:39:26,080
+نرجعه لوراه ونبدله بمين؟ بالخمسة ترجع التمانية
+
+459
+00:39:26,080 --> 00:39:31,180
+وتيجي الخمسة وبنحجز قبل التمانية الآن هذا، بنشوف
+
+460
+00:39:31,180 --> 00:39:36,670
+هل هو كـRootسليم مع ال children تبعوني و لأ مش
+
+461
+00:39:36,670 --> 00:39:42,450
+سليم فبنبدل تيجي السابعة و ترجع الخمسة هذه ال
+
+462
+00:39:42,450 --> 00:39:47,590
+route فبنرجحها بنعمل swap ما بينهم و بين آخر عنصر
+
+463
+00:39:47,590 --> 00:39:50,450
+اللي هو الأتنين فبتيجي السابعة هنا و الأتنين بتيجي
+
+464
+00:39:50,450 --> 00:39:55,110
+قدام و بنحجز قبل السابعة و بنكمل في الآخر بصير هنا
+
+465
+00:39:55,110 --> 00:39:58,890
+اللي هو المرتبين طيب
+
+466
+00:40:00,060 --> 00:40:02,680
+نعم اه المحاضرة الجاية ان شاء الله بنحكي عن ال
+
+467
+00:40:02,680 --> 00:40:07,920
+analysis تبع ال heap sort و بنكمل في آخر ان هو من
+
+468
+00:40:07,920 --> 00:40:11,280
+أنواع اللي هو transform and conquer ماشي الحين
+
+469
+00:40:11,280 --> 00:40:12,140
+يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/bw1BTE5RDVY_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/bw1BTE5RDVY_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..15492621dd664fd3c99e9f5e46e0b83932eba210
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/bw1BTE5RDVY_raw.json
@@ -0,0 +1 @@
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0.9295247395833334}, {"start": 392.04, "end": 392.14, "word": " ال", "probability": 0.9765625}, {"start": 392.14, "end": 392.42, "word": " children", "probability": 0.90869140625}, {"start": 392.42, "end": 393.02, "word": " الكامل", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 15, "seek": 40365, "start": 393.81, "end": 403.65, "text": "هذه heap مافيش فيها أي مشكلة طيب ما .. طيب", "tokens": [3224, 24192, 33591, 19446, 41185, 8592, 8978, 11296, 36632, 37893, 28820, 3660, 23032, 1829, 3555, 19446, 4386, 23032, 1829, 3555], "avg_logprob": -0.3629092375437419, "compression_ratio": 1.0454545454545454, "no_speech_prob": 0.0, "words": [{"start": 393.81, "end": 394.17, "word": "هذه", "probability": 0.863525390625}, {"start": 394.17, "end": 394.49, "word": " heap", "probability": 0.072021484375}, {"start": 394.49, "end": 395.29, "word": " مافيش", "probability": 0.7823893229166666}, {"start": 395.29, "end": 395.51, "word": " فيها", "probability": 0.969482421875}, {"start": 395.51, "end": 395.63, "word": " أي", "probability": 0.7646484375}, {"start": 395.63, "end": 396.43, "word": " مشكلة", "probability": 0.99267578125}, {"start": 396.43, "end": 396.97, "word": " طيب", "probability": 0.7801106770833334}, {"start": 396.97, "end": 397.15, "word": " ما", "probability": 0.48291015625}, {"start": 397.15, "end": 399.31, "word": " ..", "probability": 0.5166015625}, {"start": 399.31, "end": 403.65, "word": " طيب", "probability": 0.8974609375}], "temperature": 1.0}, {"id": 16, "seek": 43040, "start": 405.52, "end": 430.4, "text": "الأن الـ properties هدول الأربعة هدى properties مهمة انلاحظها في الـ heap انه خلّينا نيجي من الآخر انه a heap can be represented as a an array طبعا هذا مش حكر على ال heap أيه binary tree we can represent it as an array طبعا عندنا خيار ان we represent it with pointers يعني", "tokens": [6027, 33456, 2423, 39184, 7221, 8032, 3215, 12610, 16247, 25513, 27884, 8032, 3215, 7578, 7221, 3714, 16095, 3660, 16472, 15040, 5016, 19913, 11296, 8978, 2423, 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"text": "بس ممكن أيضا represent ال binary tree في array و ال heap كذلك و ال heap أيضا يمكن تخزينه في array و هذه قضية مهمة اللي انا هنشوف ليش فأول خاصية ان a heap can be represented as an array قضية تانية ان اي sub tree في ال heap is also a heap", "tokens": [3555, 3794, 3714, 43020, 36632, 11242, 995, 2906, 2423, 17434, 4230, 8978, 10225, 4032, 2423, 33591, 9122, 8848, 23275, 4032, 2423, 33591, 36632, 11242, 995, 7251, 43020, 6055, 9778, 11622, 9957, 3224, 8978, 10225, 4032, 29538, 12174, 11242, 10632, 3714, 16095, 3660, 13672, 1829, 1975, 8315, 8032, 1863, 8592, 38688, 32239, 8592, 6156, 10721, 12610, 16490, 33546, 10632, 16472, 257, 33591, 393, 312, 10379, 382, 364, 10225, 12174, 11242, 10632, 6055, 7649, 10632, 16472, 1975, 1829, 1422, 4230, 8978, 2423, 33591, 307, 611, 257, 33591], "avg_logprob": -0.18377543015535489, "compression_ratio": 1.7239583333333333, "no_speech_prob": 0.0, "words": [{"start": 431.19, "end": 431.79, "word": "بس", "probability": 0.914794921875}, {"start": 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{"start": 452.51, "end": 452.77, "word": " an", "probability": 0.6787109375}, {"start": 452.77, "end": 453.17, "word": " array", "probability": 0.93994140625}, {"start": 453.17, "end": 454.01, "word": " قضية", "probability": 0.9485677083333334}, {"start": 454.01, "end": 454.45, "word": " تانية", "probability": 0.9391276041666666}, {"start": 454.45, "end": 454.73, "word": " ان", "probability": 0.8154296875}, {"start": 454.73, "end": 455.87, "word": " اي", "probability": 0.785400390625}, {"start": 455.87, "end": 456.33, "word": " sub", "probability": 0.53564453125}, {"start": 456.33, "end": 456.85, "word": " tree", "probability": 0.62353515625}, {"start": 456.85, "end": 457.35, "word": " في", "probability": 0.951171875}, {"start": 457.35, "end": 457.51, "word": " ال", "probability": 0.9501953125}, {"start": 457.51, "end": 457.79, "word": " heap", "probability": 0.98583984375}, {"start": 457.79, "end": 458.09, "word": " is", "probability": 0.9580078125}, {"start": 458.09, "end": 458.35, "word": " also", "probability": 0.861328125}, {"start": 458.35, "end": 458.53, "word": " a", "probability": 0.97900390625}, {"start": 458.53, "end": 458.75, "word": " heap", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 18, "seek": 47995, "start": 460.25, "end": 479.95, "text": "يعني أنا الآن بما .. بما أنه هو heap ومتحقق فيه شرط الـ completeness وشرط ال .. ال value هذا يبقى لو جيت أنا على أي node .. نرجح هنا .. أي node في ال .. أي parent node هي أيضا heap هي أيضا .. هي و ال .. و ال children تبعونها", "tokens": [40228, 22653, 41850, 6024, 48506, 4724, 15042, 4386, 4724, 15042, 14739, 3224, 31439, 33591, 4032, 2304, 2655, 5016, 4587, 4587, 8978, 3224, 13412, 2288, 9566, 2423, 39184, 1557, 15264, 4032, 8592, 2288, 9566, 2423, 4386, 2423, 2158, 23758, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 41850, 15844, 36632, 9984, 4386, 8717, 47341, 5016, 34105, 4386, 36632, 9984, 8978, 2423, 4386, 36632, 2596, 9984, 39896, 36632, 11242, 995, 33591, 39896, 36632, 11242, 995, 4386, 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"end": 708.48, "word": " الواحد", "probability": 0.9747721354166666}, {"start": 708.48, "end": 709.24, "word": " هي", "probability": 0.71875}, {"start": 709.24, "end": 709.62, "word": " موجودة", "probability": 0.9736328125}, {"start": 709.62, "end": 709.74, "word": " على", "probability": 0.9462890625}, {"start": 709.74, "end": 710.16, "word": " اتنين", "probability": 0.9642333984375}, {"start": 710.16, "end": 710.82, "word": " اتنين", "probability": 0.962646484375}, {"start": 710.82, "end": 711.04, "word": " في", "probability": 0.84716796875}, {"start": 711.04, "end": 711.5, "word": " اتنين", "probability": 0.97998046875}, {"start": 711.5, "end": 712.02, "word": " اربعة", "probability": 0.7476399739583334}], "temperature": 1.0}, {"id": 29, "seek": 73655, "start": 712.93, "end": 736.55, "text": "صح هذا مين ال left child و 2 في 2 زي 1 اللي هو 4 زي 1 خمسة اللي هو ال right child مظبوط وهذا على الدوام سواء في هذا ال heap ولا في heap ما heap لو كان ال heap ما heap يعني ضخم برضه حضرها الملاحظة هذه القائمة", "tokens": [9381, 5016, 23758, 3714, 9957, 2423, 1411, 1440, 4032, 568, 8978, 568, 30767, 1829, 502, 13672, 1829, 31439, 1017, 30767, 1829, 502, 16490, 2304, 3794, 3660, 13672, 1829, 31439, 2423, 558, 1440, 3714, 19913, 3555, 2407, 9566, 37037, 15730, 15844, 32748, 2407, 10943, 8608, 2407, 16606, 8978, 23758, 2423, 33591, 49429, 8978, 33591, 19446, 33591, 45164, 25961, 2423, 33591, 19446, 33591, 37495, 22653, 48812, 9778, 2304, 4724, 43042, 3224, 11331, 11242, 2288, 11296, 9673, 15040, 5016, 19913, 3660, 29538, 25062, 16373, 46007], "avg_logprob": -0.22722138231059155, "compression_ratio": 1.6984126984126984, "no_speech_prob": 0.0, "words": [{"start": 712.93, "end": 713.41, "word": "صح", "probability": 0.819091796875}, {"start": 713.41, "end": 713.85, "word": " هذا", "probability": 0.44287109375}, {"start": 713.85, "end": 714.19, "word": " مين", "probability": 0.57373046875}, {"start": 714.19, "end": 714.99, "word": " ال", "probability": 0.57958984375}, {"start": 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اللي هو هذا فعلا هو هذا ال parent تبعها و لو انا بحكي عنها دي برضه واحد", "tokens": [5172, 3224, 3215, 12610, 3224, 19446, 7251, 2655, 30241, 4587, 20666, 558, 4032, 2423, 1411, 4386, 19446, 7251, 2655, 30241, 4587, 20666, 2227, 16070, 3615, 4117, 3794, 9154, 16095, 45164, 1975, 8315, 4724, 16254, 36764, 4587, 5172, 15844, 1440, 4032, 4724, 16254, 1975, 3615, 28480, 4032, 9957, 2423, 2596, 6055, 3555, 3615, 3224, 3714, 33599, 1829, 16490, 16254, 23758, 2423, 1440, 1975, 1829, 8592, 1975, 3794, 45865, 1975, 7435, 38251, 6024, 48506, 16490, 2304, 3794, 3660, 15844, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 1975, 2655, 1863, 9957, 4032, 8717, 9381, 2423, 4123, 6055, 3555, 3615, 11296, 1975, 2655, 1863, 9957, 13672, 1829, 31439, 23758, 6156, 3615, 15040, 31439, 23758, 2423, 2596, 6055, 3555, 3615, 11296, 4032, 45164, 1975, 8315, 4724, 5016, 4117, 1829, 18871, 11296, 11778, 1829, 4724, 43042, 3224, 36764, 24401], "avg_logprob": -0.18924906994424648, "compression_ratio": 1.995850622406639, 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بتيجينا في التسعة بحط على الشمال ماليش .. ال binary تاني أنا بحكي بحكيش binary search بيجيني بعدين السابعة بحطها ال next available position اللي هو هنا الآن أجت الستة when ال next available", "tokens": [6027, 39184, 17434, 4724, 3794, 28242, 19446, 6055, 8592, 2655, 2288, 9566, 3224, 14739, 7251, 30544, 5296, 28820, 9984, 6674, 732, 2227, 2423, 39184, 17434, 3164, 6055, 8592, 2655, 2288, 9566, 14739, 7251, 30544, 25124, 2304, 6027, 5551, 9381, 17082, 2288, 4032, 2423, 32640, 9957, 5551, 4117, 26890, 11331, 1211, 2407, 6156, 6027, 148, 48506, 4724, 1829, 7435, 9957, 1829, 16247, 2655, 1863, 9957, 4724, 5016, 9566, 14407, 4386, 4724, 5016, 9566, 4386, 4724, 31371, 7435, 1829, 8315, 8978, 16712, 3794, 27884, 4724, 5016, 9566, 15844, 25124, 2304, 6027, 19446, 20292, 8592, 4386, 2423, 17434, 6055, 7649, 1829, 41850, 4724, 5016, 4117, 1829, 4724, 5016, 4117, 1829, 8592, 17434, 3164, 4724, 1829, 7435, 9957, 1829, 39182, 9957, 21136, 16758, 27884, 4724, 5016, 9566, 11296, 2423, 958, 2435, 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child السبعة مالهاش right child هنحط ال value هذا هنا h of k ويساوي عندنا سبعة طيب ال line j بتأشر على مين على 2 ضرب k اللي هي ال lifted child", "tokens": [15040, 5016, 19913, 16472, 34105, 19446, 41185, 8592, 558, 1440, 20328, 5016, 2423, 33591, 19446, 41185, 8592, 8978, 3224, 558, 1440, 21136, 3555, 27884, 19446, 43761, 33599, 558, 1440, 8032, 1863, 5016, 9566, 2423, 2158, 23758, 34105, 276, 295, 350, 4032, 1829, 3794, 995, 45865, 43242, 8315, 8608, 3555, 27884, 23032, 1829, 3555, 2423, 1622, 361, 39894, 10721, 46309, 15844, 3714, 9957, 15844, 568, 48812, 25513, 350, 13672, 1829, 39896, 2423, 17854, 1440], "avg_logprob": -0.32559120896700267, "compression_ratio": 1.6243093922651934, "no_speech_prob": 0.0, "words": [{"start": 1395.98, "end": 1396.4, "word": "لاحظ", "probability": 0.7740885416666666}, {"start": 1396.4, "end": 1396.58, "word": " ان", "probability": 0.322998046875}, {"start": 1396.58, "end": 1396.94, "word": " هنا", "probability": 0.90673828125}, {"start": 1396.94, 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"temperature": 1.0}, {"id": 58, "seek": 147656, "start": 1451.38, "end": 1476.56, "text": "أقل من ال N يعني لسه فيه كمان هو هيكون had a right child فإذا ال J أقل من N يبقى there are two إذا أقل من N there are two children إذا بتساوي ففيش اللي واحد فإذا والله فيه child تاني فبدنا نروح عليه okay بدنا نروح عليه", "tokens": [10721, 4587, 1211, 9154, 2423, 426, 37495, 22653, 5296, 3794, 3224, 8978, 3224, 9122, 2304, 7649, 31439, 39896, 30544, 632, 257, 558, 1440, 6156, 28814, 15730, 2423, 508, 5551, 4587, 1211, 9154, 426, 7251, 3555, 4587, 7578, 456, 366, 732, 11933, 15730, 5551, 4587, 1211, 9154, 426, 456, 366, 732, 2227, 11933, 15730, 39894, 3794, 995, 45865, 6156, 41185, 8592, 13672, 1829, 36764, 24401, 6156, 28814, 15730, 16070, 43761, 8978, 3224, 1440, 6055, 7649, 1829, 6156, 44510, 8315, 8717, 32887, 5016, 47356, 1392, 47525, 8315, 8717, 32887, 5016, 47356], "avg_logprob": -0.15477431101931466, "compression_ratio": 1.7329842931937174, "no_speech_prob": 0.0, "words": [{"start": 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"end": 2080.71, "word": " okay", "probability": 0.36865234375}, {"start": 2080.71, "end": 2081.27, "word": " فهذا", "probability": 0.9500325520833334}, {"start": 2081.27, "end": 2081.69, "word": " الكلام", "probability": 0.96875}, {"start": 2081.69, "end": 2082.15, "word": " الآن", "probability": 0.811767578125}, {"start": 2082.15, "end": 2082.53, "word": " ال", "probability": 0.95947265625}, {"start": 2082.53, "end": 2082.71, "word": " heap", "probability": 0.986328125}, {"start": 2082.71, "end": 2083.11, "word": " sort", "probability": 0.93212890625}, {"start": 2083.11, "end": 2083.31, "word": " هو", "probability": 0.96875}, {"start": 2083.31, "end": 2083.67, "word": " عبارة", "probability": 0.9884033203125}, {"start": 2083.67, "end": 2083.87, "word": " عن", "probability": 0.990234375}, {"start": 2083.87, "end": 2084.31, "word": " أنه", "probability": 0.819580078125}], "temperature": 1.0}, {"id": 82, "seek": 211092, "start": 2084.87, "end": 2110.93, "text": "to construct a heap from a given list of N keys بعدين repeat ال operations of root removal N نقص واحد times N نقص واحد يعني انت هتعمل كل عناصر معدل الأخير لأي شي خلاص هيطلع لحاله exchange ال keys in the root and in the last leaf", "tokens": [1353, 7690, 257, 33591, 490, 257, 2212, 1329, 295, 426, 9317, 39182, 9957, 7149, 2423, 7705, 295, 5593, 17933, 426, 8717, 4587, 9381, 36764, 24401, 1413, 426, 8717, 4587, 9381, 36764, 24401, 37495, 22653, 16472, 2655, 8032, 2655, 25957, 1211, 28242, 18871, 33546, 2288, 20449, 3215, 1211, 16247, 9778, 13546, 5296, 10721, 1829, 44049, 16490, 1211, 33546, 8032, 1829, 9566, 1211, 3615, 5296, 5016, 6027, 3224, 7742, 2423, 9317, 294, 264, 5593, 293, 294, 264, 1036, 10871], "avg_logprob": -0.23637820875797516, "compression_ratio": 1.4238095238095239, "no_speech_prob": 0.0, "words": [{"start": 2084.87, "end": 2085.07, "word": "to", "probability": 0.240478515625}, {"start": 2085.07, "end": 2085.81, "word": " construct", "probability": 0.9462890625}, {"start": 2085.81, "end": 2086.13, "word": " a", "probability": 0.95849609375}, {"start": 2086.13, "end": 2086.39, "word": " heap", "probability": 0.9765625}, {"start": 2086.39, "end": 2086.71, "word": " from", "probability": 0.87255859375}, {"start": 2086.71, "end": 2086.87, "word": " a", "probability": 0.97314453125}, {"start": 2086.87, "end": 2087.07, "word": " given", "probability": 0.91064453125}, {"start": 2087.07, "end": 2087.37, "word": " list", "probability": 0.9228515625}, {"start": 2087.37, "end": 2087.55, "word": " of", "probability": 0.97216796875}, {"start": 2087.55, "end": 2087.73, "word": " N", "probability": 0.32080078125}, {"start": 2087.73, "end": 2088.11, "word": " keys", "probability": 0.77783203125}, {"start": 2088.11, "end": 2089.59, "word": " بعدين", "probability": 0.80126953125}, {"start": 2089.59, "end": 2090.07, "word": " repeat", "probability": 0.85302734375}, {"start": 2090.07, "end": 2090.63, "word": " ال", "probability": 0.83935546875}, {"start": 2090.63, "end": 2091.33, "word": " operations", "probability": 0.93017578125}, {"start": 2091.33, "end": 2092.61, "word": " of", "probability": 0.951171875}, {"start": 2092.61, "end": 2092.91, "word": " root", "probability": 0.88671875}, {"start": 2092.91, "end": 2093.83, "word": " removal", "probability": 0.91455078125}, {"start": 2093.83, "end": 2094.59, "word": " N", "probability": 0.48046875}, {"start": 2094.59, "end": 2094.89, "word": " نقص", "probability": 0.6317545572916666}, {"start": 2094.89, "end": 2095.17, "word": " واحد", "probability": 0.960205078125}, {"start": 2095.17, "end": 2095.67, "word": " times", "probability": 0.7490234375}, {"start": 2095.67, "end": 2096.13, "word": " N", "probability": 0.4541015625}, {"start": 2096.13, "end": 2096.45, "word": " نقص", "probability": 0.97314453125}, {"start": 2096.45, "end": 2096.79, "word": " واحد", "probability": 0.988525390625}, {"start": 2096.79, "end": 2097.15, "word": " يعني", "probability": 0.947021484375}, {"start": 2097.15, "end": 2097.71, "word": " انت", "probability": 0.69677734375}, {"start": 2097.71, "end": 2099.43, "word": " هتعمل", "probability": 0.9276123046875}, {"start": 2099.43, "end": 2099.95, "word": " كل", "probability": 0.55859375}, {"start": 2099.95, "end": 2100.39, "word": " عناصر", "probability": 0.8043619791666666}, {"start": 2100.39, "end": 2100.71, "word": " معدل", "probability": 0.541015625}, {"start": 2100.71, "end": 2100.97, "word": " الأخير", "probability": 0.5441080729166666}, {"start": 2100.97, "end": 2101.15, "word": " لأي", "probability": 0.73193359375}, {"start": 2101.15, "end": 2101.29, "word": " شي", "probability": 0.44873046875}, {"start": 2101.29, "end": 2101.63, "word": " خلاص", "probability": 0.8857421875}, {"start": 2101.63, "end": 2101.93, "word": " هيطلع", "probability": 0.83125}, {"start": 2101.93, "end": 2102.63, "word": " لحاله", "probability": 0.9158935546875}, {"start": 2102.63, "end": 2104.83, "word": " exchange", "probability": 0.78662109375}, {"start": 2104.83, "end": 2105.25, "word": " ال", "probability": 0.8447265625}, {"start": 2105.25, "end": 2105.79, "word": " keys", "probability": 0.94970703125}, {"start": 2105.79, "end": 2107.59, "word": " in", "probability": 0.9599609375}, {"start": 2107.59, "end": 2107.99, "word": " the", "probability": 0.923828125}, {"start": 2107.99, "end": 2108.41, "word": " root", "probability": 0.90869140625}, {"start": 2108.41, "end": 2108.99, "word": " and", "probability": 0.95263671875}, {"start": 2108.99, "end": 2109.23, "word": " in", "probability": 0.93017578125}, {"start": 2109.23, "end": 2109.39, "word": " the", "probability": 0.93798828125}, {"start": 2109.39, "end": 2109.91, "word": " last", "probability": 0.87060546875}, {"start": 2109.91, "end": 2110.93, "word": " leaf", "probability": 0.93798828125}], "temperature": 1.0}, {"id": 83, "seek": 213851, "start": 2112.01, "end": 2138.51, "text": "Okay؟ Decrease the heap size by one الخطوات هذه بتتم بالقالية التالية عملية ال deleting نذكر هنا أن عملية ال deleting في ال heap بتتم بالقالية التالية أن هاي أندي ال heap بدي أعمل delete للتسعة بروح و أناش مستبدلها بآخر leaf", "tokens": [8297, 22807, 12427, 265, 651, 264, 33591, 2744, 538, 472, 33962, 9566, 2407, 9307, 29538, 39894, 39237, 20666, 4587, 6027, 10632, 16712, 6027, 10632, 6225, 42213, 10632, 2423, 48946, 8717, 8848, 37983, 34105, 14739, 6225, 42213, 10632, 2423, 48946, 8978, 2423, 33591, 39894, 39237, 20666, 4587, 6027, 10632, 16712, 6027, 10632, 14739, 8032, 47302, 14739, 16254, 2423, 33591, 4724, 16254, 5551, 25957, 1211, 12097, 24976, 2655, 3794, 27884, 4724, 32887, 5016, 4032, 41850, 8592, 3714, 14851, 44510, 1211, 11296, 4724, 148, 95, 34740, 10871], "avg_logprob": -0.2707720714456895, "compression_ratio": 1.7875647668393781, "no_speech_prob": 0.0, "words": [{"start": 2112.0099999999998, "end": 2112.97, "word": "Okay؟", "probability": 0.35205078125}, {"start": 2112.97, "end": 2113.65, "word": " Decrease", "probability": 0.719482421875}, {"start": 2113.65, "end": 2113.89, "word": " the", 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" deleting", "probability": 0.71728515625}, {"start": 2120.55, "end": 2122.89, "word": " نذكر", "probability": 0.5045979817708334}, {"start": 2122.89, "end": 2123.25, "word": " هنا", "probability": 0.68408203125}, {"start": 2123.25, "end": 2123.93, "word": " أن", "probability": 0.40966796875}, {"start": 2123.93, "end": 2124.25, "word": " عملية", "probability": 0.9142252604166666}, {"start": 2124.25, "end": 2124.39, "word": " ال", "probability": 0.90966796875}, {"start": 2124.39, "end": 2124.73, "word": " deleting", "probability": 0.96826171875}, {"start": 2124.73, "end": 2124.97, "word": " في", "probability": 0.8935546875}, {"start": 2124.97, "end": 2125.11, "word": " ال", "probability": 0.947265625}, {"start": 2125.11, "end": 2125.33, "word": " heap", "probability": 0.90478515625}, {"start": 2125.33, "end": 2125.83, "word": " بتتم", "probability": 0.7900390625}, {"start": 2125.83, "end": 2126.63, "word": " بالقالية", "probability": 0.9891357421875}, {"start": 2126.63, "end": 2127.17, "word": " التالية", "probability": 0.9957682291666666}, {"start": 2127.17, "end": 2127.39, "word": " أن", "probability": 0.411376953125}, {"start": 2127.39, "end": 2128.37, "word": " هاي", "probability": 0.4560546875}, {"start": 2128.37, "end": 2128.71, "word": " أندي", "probability": 0.708251953125}, {"start": 2128.71, "end": 2128.83, "word": " ال", "probability": 0.97802734375}, {"start": 2128.83, "end": 2129.07, "word": " heap", "probability": 0.974609375}, {"start": 2129.07, "end": 2130.65, "word": " بدي", "probability": 0.702880859375}, {"start": 2130.65, "end": 2131.17, "word": " أعمل", "probability": 0.9195963541666666}, {"start": 2131.17, "end": 2131.91, "word": " delete", "probability": 0.8994140625}, {"start": 2131.91, "end": 2133.37, "word": " للتسعة", "probability": 0.8453369140625}, {"start": 2133.37, "end": 2135.81, "word": " بروح", "probability": 0.9705403645833334}, {"start": 2135.81, "end": 2135.91, "word": " و", "probability": 0.7041015625}, {"start": 2135.91, "end": 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{"start": 2143.42, "end": 2143.82, "word": " هنا", "probability": 0.99072265625}, {"start": 2143.82, "end": 2144.94, "word": " okay", "probability": 0.3076171875}, {"start": 2144.94, "end": 2146.9, "word": " وبشيلها", "probability": 0.75189208984375}, {"start": 2146.9, "end": 2147.2, "word": " خلاص", "probability": 0.9366861979166666}, {"start": 2147.2, "end": 2147.38, "word": " أنا", "probability": 0.57568359375}, {"start": 2147.38, "end": 2147.56, "word": " لما", "probability": 0.968017578125}, {"start": 2147.56, "end": 2147.98, "word": " أشيل", "probability": 0.8846028645833334}, {"start": 2147.98, "end": 2148.32, "word": " هذه", "probability": 0.7451171875}, {"start": 2148.32, "end": 2148.68, "word": " مش", "probability": 0.94921875}, {"start": 2148.68, "end": 2149.1, "word": " هتأثر", "probability": 0.9373779296875}, {"start": 2149.1, "end": 2149.26, "word": " على", "probability": 0.826171875}, {"start": 2149.26, "end": 2149.44, "word": " أي", "probability": 0.64453125}, {"start": 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"probability": 0.83935546875}, {"start": 2411.1, "end": 2411.28, "word": " الحين", "probability": 0.53076171875}, {"start": 2411.28, "end": 2411.74, "word": " يعطيكم", "probability": 0.80908203125}, {"start": 2411.74, "end": 2412.14, "word": " العافية", "probability": 0.6668294270833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2412.9248125, "duration_after_vad": 2297.869374999995}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ca6b237f68da26586dabc7fc05268648a9e488b4
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_postprocess.srt
@@ -0,0 +1,2044 @@
+1
+00:00:20,810 --> 00:00:23,170
+بسم الله الرحمن الرحيم والحمد لله والصلاة والسلام
+
+2
+00:00:23,170 --> 00:00:26,190
+على أشرف المرسلين اليوم ان شاء الله بنبدأ chapter
+
+3
+00:00:26,190 --> 00:00:29,650
+جديد chapter هذا بانوان dynamic programming موضوع
+
+4
+00:00:29,650 --> 00:00:34,710
+ال dynamic programming بالاصل هو كان احد مواضيع ال
+
+5
+00:00:34,710 --> 00:00:39,870
+space and time trade-offs ولكن احنا نتناوله ب
+
+6
+00:00:39,870 --> 00:00:44,630
+chapter لحاله ونفصل ال dynamic programmingالاسم
+
+7
+00:00:44,630 --> 00:00:49,090
+كلمة programming صراحة مايلها علاقة بالبرمجة انما
+
+8
+00:00:49,090 --> 00:00:52,350
+هي programming بمعنى التخطيط يعني شيلي كلمة
+
+9
+00:00:52,350 --> 00:00:56,040
+programming وقولي dynamic planningOkay و Dynamic
+
+10
+00:00:56,040 --> 00:01:02,220
+هنا تخطيط Dynamic بمعنى إنه مرحلي يعني ال goal
+
+11
+00:01:02,220 --> 00:01:05,900
+النهائي اللي بدي أصل إليه من وراها لل planning بدي
+
+12
+00:01:05,900 --> 00:01:11,440
+أحققه على مراحل أحقق sub goal ثم sub goal مترتب
+
+13
+00:01:11,440 --> 00:01:16,940
+عليه ثم إلى أن أصل إلى ال goal النهائي ماشي فهي زي
+
+14
+00:01:16,940 --> 00:01:19,800
+ما بيقول programming here means planning و Dynamic
+
+15
+00:01:19,800 --> 00:01:26,510
+means step by step مرحليOkay خلّي ال general idea
+
+16
+00:01:26,510 --> 00:01:30,730
+للآخر بس ناخد example أو اتنين بيصير المفهوم هذا
+
+17
+00:01:30,730 --> 00:01:34,410
+واضح منه لحاله، صح؟ Okay الحين لو قاعد نشرح فيها
+
+18
+00:01:34,410 --> 00:01:38,860
+كلام نظري يمكن in twoالان في انا تلت examples اللي
+
+19
+00:01:38,860 --> 00:01:42,780
+هو ال coin raw problem و ال change making problem
+
+20
+00:01:42,780 --> 00:01:45,340
+و ال coin collecting problem التلتة اللي هم علاقة
+
+21
+00:01:45,340 --> 00:01:50,460
+بالعملة و الفلوس ال اولة اني بدأ اخد الوسطانية بدأ
+
+22
+00:01:50,460 --> 00:01:53,020
+اخد الوسطانية في الاول بعدين ارجع للتانية التانية
+
+23
+00:01:53,020 --> 00:01:58,780
+التالتة بعدين الاولة ال change making problem لو
+
+24
+00:01:58,780 --> 00:02:04,700
+انا جيت قلتلك ان انا في معايا خمسين شكلخمسين شكل
+
+25
+00:02:04,700 --> 00:02:09,080
+خمسين جنيه خمسين أي حاجة وبدى افكهم وعنا احنا
+
+26
+00:02:09,080 --> 00:02:16,240
+الوحدات العملة وفي عنا الواحد الاتنين الخمسة
+
+27
+00:02:16,240 --> 00:02:20,000
+العشرة والعشرين صح وفي طبعا بعد هيك الخمسين والمية
+
+28
+00:02:20,000 --> 00:02:27,570
+okay انا الان اللى معايا خمسينفو انت بدك تفكيلي و
+
+29
+00:02:27,570 --> 00:02:31,430
+معاكي عدد لنهائي من القطع من كل الوحدات يعني من
+
+30
+00:02:31,430 --> 00:02:35,410
+الشواكع اللي عندك من لنهائي و من غيره فالان ممكن
+
+31
+00:02:35,410 --> 00:02:41,210
+تفكيلي الخمسين .. خمسين قطعة من الواحد او خمسة و
+
+32
+00:02:41,210 --> 00:02:44,280
+عشرين قطعة من الاتنين او عشر قطعة من الخمسةأو خمس
+
+33
+00:02:44,280 --> 00:02:47,760
+قطع عامة لعشرة أو قطعتين عشرين و قطعة عشرة قطعتين
+
+34
+00:02:47,760 --> 00:02:54,780
+عشرين و قطعتين كمسات في تبديل كتيرة أنا المعنى
+
+35
+00:02:54,780 --> 00:03:00,470
+بالأقل عددايعني خمسين وحدة ده كتير خمس وعشرين إيه
+
+36
+00:03:00,470 --> 00:03:04,570
+ده كتير انت ممكن تحليليها بعشرين تان وعشرة هذا
+
+37
+00:03:04,570 --> 00:03:08,790
+ربما أقل الشيء صح فال problem هنا ان ال change
+
+38
+00:03:08,790 --> 00:03:12,930
+يعني انك تفكه صح change making يعني انك تفكيه وال
+
+39
+00:03:12,930 --> 00:03:17,210
+restriction هنا ان يكون عدد القطة أقل ما يمكن okay
+
+40
+00:03:17,210 --> 00:03:19,350
+ف
+
+41
+00:03:21,370 --> 00:03:25,570
+خلّيني أطلع على المثال هذا الـ change-making
+
+42
+00:03:25,570 --> 00:03:31,630
+problem في أن المبلغ
+
+43
+00:03:31,630 --> 00:03:37,150
+اللي معايا يساوي 6 جنيه 6 شكل و الوحدات اللي عندي
+
+44
+00:03:37,150 --> 00:03:42,990
+قطعة بواحد و قطعة بثلاثة و قطعة باربع
+
+45
+00:03:47,610 --> 00:03:50,670
+حتى نفكر فيها هي كبدون algorithm الست هذه انا ممكن
+
+46
+00:03:50,670 --> 00:03:58,690
+افكها كانت تلت احتمالات تلتة و تلتة واحد و واحد و
+
+47
+00:03:58,690 --> 00:04:03,430
+اربعة اتنين و اتنين و اتنين و اتنين و اتنين و
+
+48
+00:04:03,430 --> 00:04:03,610
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+49
+00:04:03,610 --> 00:04:05,490
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+50
+00:04:05,490 --> 00:04:15,190
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+51
+00:04:15,190 --> 00:04:15,230
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+52
+00:04:15,230 --> 00:04:15,880
+اتنين و اتنين و اتنين و اتنين و اتنين و اتخطة
+
+53
+00:04:15,880 --> 00:04:19,040
+تانية من التانية طيب انا ال dynamic programming
+
+54
+00:04:19,040 --> 00:04:24,400
+بتتعامل مع المسألة بأسلوب منظم كالتالي انه الستة
+
+55
+00:04:24,400 --> 00:04:28,700
+هذه ممكن افكر فيها عشان احل المسألة هذه اللي
+
+56
+00:04:28,700 --> 00:04:32,220
+مبلغها ستة بعدين افكر انه طيب انا عندي تلت
+
+57
+00:04:32,220 --> 00:04:38,160
+احتمالات ممكن اجي اقول عندي قطعة M الواحد زائد
+
+58
+00:04:38,160 --> 00:04:44,220
+مبلغ الباقيالخامسة قطعة M التلاتة زائد المبلغ
+
+59
+00:04:44,220 --> 00:04:49,900
+الباقي اللي هو مجدش بظل من الست قطعة M الأربعة
+
+60
+00:04:49,900 --> 00:04:53,060
+زائد المبلغ الباقي اللي هو اتنين لأن هذا المبلغ
+
+61
+00:04:53,060 --> 00:04:57,420
+الباقي برضه بحله بنفس الاسلوب الخامسة كيف انا ممكن
+
+62
+00:04:57,420 --> 00:05:03,960
+احلها الواحد والتلاتة والاربعة واحد زائد اربعة
+
+63
+00:05:05,350 --> 00:05:09,490
+تلاتة زائد اتنين مافيش صح coin اتنين بس انا هنا
+
+64
+00:05:09,490 --> 00:05:13,750
+بحكي مبلغ اتنين هذه الان كمبلغ بفكر كيف بدي افكها
+
+65
+00:05:13,750 --> 00:05:20,530
+صح؟ والخامسة هنا هذه برضه كانت مبلغ بفكر كيف ا ا ا
+
+66
+00:05:20,530 --> 00:05:21,750
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+67
+00:05:21,750 --> 00:05:21,810
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+68
+00:05:21,810 --> 00:05:24,110
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+69
+00:05:24,110 --> 00:05:24,170
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+70
+00:05:24,170 --> 00:05:25,190
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+71
+00:05:25,190 --> 00:05:27,190
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+72
+00:05:31,490 --> 00:05:35,530
+صح بقالك كمبلغ الآن لما أنا بفكه فيه قد تحتمالات
+
+73
+00:05:35,530 --> 00:05:44,430
+واحد مع مبلغ اتنين او تلاتة مع ولا شيء او الاربعة
+
+74
+00:05:44,430 --> 00:05:48,570
+بتنفعش الاربعة صح ليش لان انا اكبر من المبلغ يعني
+
+75
+00:05:48,570 --> 00:05:54,110
+انا لا يصح ان افكر في الحلول اللي تجتمل على قطعة
+
+76
+00:05:54,110 --> 00:05:57,390
+هي في حد ذاتها القطعة الواحدة اكبر من المبلغ اللي
+
+77
+00:05:57,390 --> 00:06:02,380
+انا بده احلهصح؟ يعني زي هنا انا بدي احل التلاتة مش
+
+78
+00:06:02,380 --> 00:06:07,680
+معبور اروح افكر في اجيب قطعة باربعة معاشر صح؟
+
+79
+00:06:07,680 --> 00:06:13,480
+فالحلول هي تجتمع علي قطعة اكبر اصلا هي لحالها من
+
+80
+00:06:13,480 --> 00:06:18,460
+المبلغ انا لازم استثنيه يبقى ايش الأسلوب العام لحل
+
+81
+00:06:18,460 --> 00:06:20,920
+المسألة دي بال dynamic programming انه افكر في
+
+82
+00:06:20,920 --> 00:06:27,000
+المثل الكبير ال goal النهائي على انه sub goal زائد
+
+83
+00:06:27,000 --> 00:06:33,270
+واحدsub goal زادت خيارات وانا بدي اختار ال sub
+
+84
+00:06:33,270 --> 00:06:40,370
+goal الأفضل مع الخيار الأفضل ال sub goal الأفضل مع
+
+85
+00:06:40,370 --> 00:06:43,350
+الخيار الأفضل يعني هذا sub goal الآن وهي الخيارات
+
+86
+00:06:43,350 --> 00:06:47,550
+التلاتة وهذا sub goal على sub goal الآن الخمسة إذا
+
+87
+00:06:47,550 --> 00:06:52,930
+ماجدر أحلها بأكم عدد من القطاع تلاحظ ان المسألة دي
+
+88
+00:06:52,930 --> 00:06:57,170
+البحث عن أقل عدد من القطاعإذا الخمسة بقدر أحلها
+
+89
+00:06:57,170 --> 00:07:02,390
+والله بقطعة واحدة وهدولة بحلهم بأكتر من واحد يبقى
+
+90
+00:07:02,390 --> 00:07:07,350
+هذا هو أنسب sub solution وخلاص ال solution اللي
+
+91
+00:07:07,350 --> 00:07:10,370
+نلاقي هو عبارة عن واحد زاد واحد هي في الأخر قطعة
+
+92
+00:07:10,370 --> 00:07:14,130
+واحد اللي هضيفها في كل الحالات okay قطعة واحدة
+
+93
+00:07:14,130 --> 00:07:18,710
+اللي هتنضعف في كل الحالات فانا صار ال ال ال ال هدف
+
+94
+00:07:18,710 --> 00:07:24,120
+تبعي أن أبحث عن أفضل sub solutionOkay فهذا اللي
+
+95
+00:07:24,120 --> 00:07:30,040
+بيصير انه انا فيه عندي هدولة المبالغ الستة الخمسة
+
+96
+00:07:30,040 --> 00:07:37,120
+الأربعة تلاتة اتنين افضل حل لمبلغ ستة بده ييجي من
+
+97
+00:07:37,120 --> 00:07:40,820
+افضل حل من اللي جابله فبتبتدى الحكاية بالتدريج
+
+98
+00:07:40,820 --> 00:07:45,720
+Okay انا طبعا واضح من غير ما انا احكي انه لما نكون
+
+99
+00:07:45,720 --> 00:07:52,290
+المبلغ نفسه ال N بتساوي ال N بتساوي Zeroيعني مافي
+
+100
+00:07:52,290 --> 00:07:59,010
+أصلا مبلغ فأفضل حل هو zero F of zero بساوي zero صح
+
+101
+00:07:59,010 --> 00:08:03,250
+لأن
+
+102
+00:08:03,250 --> 00:08:08,910
+F of one لما يكون المبلغ يساوي one one شكل one
+
+103
+00:08:08,910 --> 00:08:15,290
+إجنيه okayبأسلوب ال .. بأسلوب ال .. ال dynamic
+
+104
+00:08:15,290 --> 00:08:19,730
+programming بدي أجيب هدولة كلها بدي أجيب ال
+
+105
+00:08:19,730 --> 00:08:22,510
+minimum .. هدولة التلاتة .. هدولة التلاتة بدي أشوف
+
+106
+00:08:22,510 --> 00:08:29,950
+ال minimum فيهم و أضيف عليه واحد okay يعني ال
+
+107
+00:08:29,950 --> 00:08:34,410
+minimum of if
+
+108
+00:08:34,410 --> 00:08:39,670
+of خلينا
+
+109
+00:08:39,670 --> 00:08:40,710
+نعملها كجدول هنا
+
+110
+00:08:44,570 --> 00:08:52,530
+ن زيرو F of N بواحد F of N بواحد F of N بواحد F of
+
+111
+00:08:52,530 --> 00:09:01,910
+N بواحد F of
+
+112
+00:09:01,910 --> 00:09:02,150
+of N بواحد F of N بواحد F of N بواحد F of N بواحد
+
+113
+00:09:02,150 --> 00:09:02,190
+F of N بواحد F of N بواحد F of N بواحد F of N
+
+114
+00:09:02,190 --> 00:09:02,250
+بواحد F of N بواحد F of N بواحد F of N بواحد F of
+
+115
+00:09:02,250 --> 00:09:02,350
+of N بواحد F of N بواحد F of N بواحد F of N بواحد
+
+116
+00:09:02,350 --> 00:09:02,930
+F of N بواحد F of N بواحد F of N بواحد F of N
+
+117
+00:09:02,930 --> 00:09:02,950
+بواحد F of N بواحد F of N بواحد F of N بواحد F of
+
+118
+00:09:02,950 --> 00:09:09,770
+N بواحد F of N بواحد F of N ب
+
+119
+00:09:15,760 --> 00:09:21,180
+أكبر من المبلغ اللي معاه okay F of واحد ناقص واحد
+
+120
+00:09:21,180 --> 00:09:30,320
+جداش يساوي F of Zero اللي هي Zero صح خلينا هنا نحط
+
+121
+00:09:30,320 --> 00:09:40,240
+تلت أعمدة هذا ايش F of واحد ناقص او خلينا نقول N
+
+122
+00:09:40,240 --> 00:09:43,740
+ناقص DJ
+
+123
+00:09:45,810 --> 00:09:50,770
+هي عبارة عن قيمة الوحدة الأولى عندي تلت وحدة أنا
+
+124
+00:09:50,770 --> 00:09:59,030
+هذا هيك تخيلي أنه عبارة عن array اسمها D وهذا جي
+
+125
+00:09:59,030 --> 00:10:06,710
+واحد جي اتنين جي تلت okay واحد
+
+126
+00:10:06,710 --> 00:10:15,440
+فما في عندي F of واحد ناقص الوحدة الأولى بعدينF of
+
+127
+00:10:15,440 --> 00:10:20,100
+واحد نقص واحدة التانية F of واحد نقص واحدة التالتة
+
+128
+00:10:20,100 --> 00:10:23,280
+فبنشطب
+
+129
+00:10:23,280 --> 00:10:36,860
+عليهم F
+
+130
+00:10:36,860 --> 00:10:40,020
+of واحد نقص واحدة التانية F of واحد نقص واحدة
+
+131
+00:10:40,020 --> 00:10:40,920
+التالتة F of واحد نقص واحدة التالتة F of واحد نقص
+
+132
+00:10:40,920 --> 00:10:41,440
+التالتة F of واحد نقص واحدة التالتة F of واحد نقص
+
+133
+00:10:41,440 --> 00:10:42,540
+واحدة التالتة F of واحد نقص واحدة التالتة F of
+
+134
+00:10:42,540 --> 00:10:45,770
+واحد نقص واحدة التالتة F of واحد نقص واOkay الان
+
+135
+00:10:45,770 --> 00:10:50,170
+هدولة مش موجودين بدي اختار ال minimum الان ما بين
+
+136
+00:10:50,170 --> 00:10:53,930
+التلاتة هدولة صح مفترض انا اختار ال minimum ما بين
+
+137
+00:10:53,930 --> 00:10:57,390
+التلاتة هدولة و اضيفها ليه واحد اضيفها ليه واحد
+
+138
+00:10:57,390 --> 00:11:00,310
+ايش ال واحدة ده اللي هو ال coin الأخرى اللي بدي
+
+139
+00:11:00,310 --> 00:11:05,730
+اضيفها Zero زاد واحد مافيش اصلا غير ال zero عاملة
+
+140
+00:11:05,730 --> 00:11:09,650
+نفس الكلام للمبلغ two لما يكون ادي مبلغ two two
+
+141
+00:11:09,650 --> 00:11:15,250
+ناقص واحد اتنين ناقص واحدبواحد ايش ال F of واحد
+
+142
+00:11:15,250 --> 00:11:23,310
+تساوي واحد اتنين ناقص تلاتة بقدر استخدمها بقدرش
+
+143
+00:11:23,310 --> 00:11:30,850
+استخدمها الان بضيف بضيف واحد على ال minimum لان
+
+144
+00:11:30,850 --> 00:11:33,530
+الحكاية ال minimum هتبدأ تبين معانا هنا و بعد هي
+
+145
+00:11:33,530 --> 00:11:40,650
+تلاتة وهي اربعة خمسة وهي ستة اخر اشي تلاتة تلاتة
+
+146
+00:11:40,650 --> 00:11:47,440
+ناقص واحد اتنين ايش F of اتنينأتنين تلاتة ناقص
+
+147
+00:11:47,440 --> 00:11:53,740
+تلاتة ناقص تلاتة صفر ايش F of Zero؟ Zero تلاتة
+
+148
+00:11:53,740 --> 00:11:56,520
+ناقص أربعة مابقدرش استخدمها الان مين ال minimum
+
+149
+00:11:56,520 --> 00:12:01,720
+بين هذولة؟ ال Zero مابضيف عليه واحد صح؟ الان
+
+150
+00:12:01,720 --> 00:12:06,420
+الأربعة أربعة ناقص واحد تلاتة ال F of تلاتة واحد
+
+151
+00:12:06,420 --> 00:12:13,340
+أربعة ناقص تلاتة واحد F of واحد واحد أربعة ناقص
+
+152
+00:12:13,340 --> 00:12:14,420
+أربعة باليوم استخدمها
+
+153
+00:12:21,260 --> 00:12:26,480
+أربعة أربعة نقص واحد تلاتة F of تلاتة واحد الان
+
+154
+00:12:26,480 --> 00:12:31,540
+على هذه اربعة نقص ايش اربعة صفر F of Zero Zero مين
+
+155
+00:12:31,540 --> 00:12:38,340
+اصغر واحد بضيف عليه واحد انا الان قاعد بقى اسجل ال
+
+156
+00:12:38,340 --> 00:12:43,770
+solutions ال sub solutions كلهاو لغاية ما اصل ال
+
+157
+00:12:43,770 --> 00:12:48,350
+solution نهائي تبعي يعني here is solution لمين ل
+
+158
+00:12:48,350 --> 00:12:52,910
+F4 يعني لو انا معايا مبلغ اربع و بدي اكتفكي ليه
+
+159
+00:12:52,910 --> 00:12:58,850
+اكم قطعة تحتاجي واحدة فقط اللي هي واحدة الأربع لو
+
+160
+00:12:58,850 --> 00:13:02,810
+معايا مبلغ اتنين اتنين شكل او اتنين جنيه و بدي
+
+161
+00:13:02,810 --> 00:13:07,610
+اكتفكي ليهم اكم قطعة محتاجي قطعتين ام الواحد صح
+
+162
+00:13:07,610 --> 00:13:09,670
+الخمسة
+
+163
+00:13:12,910 --> 00:13:27,350
+F5-1 أربعة أربعة
+
+164
+00:13:27,350 --> 00:13:27,910
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+165
+00:13:27,910 --> 00:13:28,150
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+166
+00:13:28,150 --> 00:13:28,870
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+167
+00:13:28,870 --> 00:13:37,750
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+168
+00:13:37,750 --> 00:13:45,740
+أصح؟ ثلاث مع ثلاث اتنين و أربعة مع واحد هدولة الآن
+
+169
+00:13:45,740 --> 00:13:51,300
+عندي حلولهم أنا الخامسة الحال تبعها الصين الشمس
+
+170
+00:13:51,300 --> 00:13:54,840
+sorry هذه أربعة لأن احنا .. الأربعة الحال تبعها
+
+171
+00:13:54,840 --> 00:13:58,300
+already recorded one التنين الحال تبعها already
+
+172
+00:13:58,300 --> 00:14:02,820
+recorded اتنين والواحد الحال تبعها واحد فانا خلاص
+
+173
+00:14:02,820 --> 00:14:06,660
+على طول باخد ال minimumما بينهما دولة لأن فياني
+
+174
+00:14:06,660 --> 00:14:10,040
+two minimum خلّيني أسجلهم هنا صح اللي هم التنين
+
+175
+00:14:10,040 --> 00:14:17,080
+والواحد صح الخمسة مرة أخرى الخمسة خمسة ناقص واحد
+
+176
+00:14:17,080 --> 00:14:21,160
+اربعة الحال تبعها واحد خمسة ناقص تلاتة اتنين الحال
+
+177
+00:14:21,160 --> 00:14:25,560
+تبعها اتنين خمسة ناقص اربعة واحد الحال تبعها واحد
+
+178
+00:14:25,560 --> 00:14:28,900
+okay الان مين اخد انا ال minimum اي minimum واحد
+
+179
+00:14:28,900 --> 00:14:35,430
+الواحد بضيف عليها واحد بيصير اتنينالـ6 ستة ناقص
+
+180
+00:14:35,430 --> 00:14:39,390
+واحد خمسة الحال تبعها اتنين الـ6 ناقص تلاتة تلاتة
+
+181
+00:14:39,390 --> 00:14:43,730
+الحال تبعها واحد الـ6 ناقص اربع اتنين الحال تبعها
+
+182
+00:14:43,730 --> 00:14:46,470
+اتنين الـminimum واحد بضيف عليه واحد plus اتنين
+
+183
+00:14:46,470 --> 00:14:51,170
+انا عرفت عدد القطع اللي لازماني بس ماعرفتش مين هي
+
+184
+00:14:51,170 --> 00:14:57,250
+حنجيبه الآن بس المهم ان هذا اعطاني f of n هو عدد
+
+185
+00:14:57,250 --> 00:15:02,630
+القطع اللازمة ان انا افك مبلغ 6بس على بالك لو بدك
+
+186
+00:15:02,630 --> 00:15:08,050
+تكملي للاخر الان كيف اتدهر في القطع التنتين القطع
+
+187
+00:15:08,050 --> 00:15:11,570
+التين التنتين الاتنين هذه اجت من وين اجت من هذا ال
+
+188
+00:15:11,570 --> 00:15:18,930
+minimum هذا ال minimum في اي عمود عمود التلاتة ا
+
+189
+00:15:18,930 --> 00:15:25,270
+دي هذا دي جعادة نسميه DG يعني دي جي واحد، دي جي
+
+190
+00:15:25,270 --> 00:15:29,810
+اتنين، دي جي تلاتة، تمام؟ فهذا العمود تبع الواحد،
+
+191
+00:15:29,810 --> 00:15:31,510
+هذا العمود تبع التلاتة، هذا العمود تبع الأربعة،
+
+192
+00:15:31,510 --> 00:15:37,450
+okay؟ يبقى أول قطعة من التنين هي التلاتة طيب، هذا
+
+193
+00:15:37,450 --> 00:15:46,570
+الواحد كيف أجى أصلا؟ أجى أبعد عن ستة
+
+194
+00:15:46,570 --> 00:15:54,030
+ناقص تلاتة، ستة ناقص تلاتة، okay؟ستة ناقص ثلاثة
+
+195
+00:15:54,030 --> 00:15:56,770
+يبقى ال coin التاني كانت ثلاثة طب ال coin الأولى
+
+196
+00:15:56,770 --> 00:16:04,550
+ايش كانت كانت .. كانت .. كانت برضه الثلاثة صح؟ مش
+
+197
+00:16:04,550 --> 00:16:09,850
+احنا هنا ايش قلنا هذا ست .. هذا ستة ناقص واحد ستة
+
+198
+00:16:09,850 --> 00:16:15,830
+ناقص ثلاثة ستة ناقص أربعة okay فهذا الواحد هو
+
+199
+00:16:15,830 --> 00:16:19,370
+عبارة عن solution تبع ستة ناقص ثلاثة يعني solution
+
+200
+00:16:19,370 --> 00:16:25,250
+تبع التلاتة okayالـ solution تبع التلاتة هي الواحد
+
+201
+00:16:25,250 --> 00:16:33,890
+من أين أتي من ال minimum؟ الـ zero صح؟ وقف أي عمود
+
+202
+00:16:33,890 --> 00:16:36,830
+برضه في عمود التلاتة يبقى القطعة التانية تلاتة
+
+203
+00:16:36,830 --> 00:16:44,250
+أقولك كيف ال .. ال .. الاتنين هذه أتيت minimum ما
+
+204
+00:16:44,250 --> 00:16:50,450
+بين مين؟أجت منهم لهذه هي عبارة عن هذه زي يعني واحد
+
+205
+00:16:50,450 --> 00:16:56,650
+زي هذا okay هذا جاي من وين جاي من التلاتة يعني أنا
+
+206
+00:16:56,650 --> 00:17:06,950
+قلت كأني قلت الستة هي عبارة عن التلاتة مضعفة إلى F
+
+207
+00:17:06,950 --> 00:17:14,670
+of الباقي هذه هذه okay
+
+208
+00:17:15,680 --> 00:17:22,560
+هي تلاتة مضافة إلى الـ F تبقى الباقي الـ F الباقي
+
+209
+00:17:22,560 --> 00:17:29,280
+قداش تلاتة تلاتة نقص ستة تلاتة الان قداش ال F
+
+210
+00:17:29,280 --> 00:17:36,800
+تلاتة واحد الواحدة من أين أجت أجت من من التلاتة
+
+211
+00:17:36,800 --> 00:17:40,300
+okay فأنا أصبح عندي قطعتين هما تلاتة و تلاتة خلينا
+
+212
+00:17:40,300 --> 00:17:45,930
+نفكر في هذه التانية من أين أجتبلاش .. التنين هذا
+
+213
+00:17:45,930 --> 00:17:50,710
+.. نعم من وين أتى؟ أتى من .. من إما هذه أو هذه ..
+
+214
+00:17:50,710 --> 00:17:53,790
+سيان .. لو أنا أخدت هذه أو هذه نفس الشيء .. طب ده
+
+215
+00:17:53,790 --> 00:17:56,290
+أخد هذه .. هذه في عمودي .. أيش الأربعة؟ يبقى
+
+216
+00:17:56,290 --> 00:17:59,150
+قطعتين هذوله واحد منهم الأربعة .. أيش القطعة
+
+217
+00:17:59,150 --> 00:18:03,810
+التانية؟ هذا من وين أتى؟ هذا .. لو أنا .. لو ..
+
+218
+00:18:03,810 --> 00:18:06,690
+عمودي الأربعة .. يعني خمس ناقص أربعة واحد .. يبقى
+
+219
+00:18:06,690 --> 00:18:12,040
+ضرورا على الواحد .. الواحد ..الـ solution هذا من
+
+220
+00:18:12,040 --> 00:18:16,340
+هنا أجه من هذا الـ minimum لهذا الـ minimum في أي
+
+221
+00:18:16,340 --> 00:18:22,620
+عمود، عمود الواحد فهي الأربعة والواحد هذا
+
+222
+00:18:22,620 --> 00:18:27,720
+عبارة عن solution بروح بالـ tab الاتنين هذا عبارة
+
+223
+00:18:27,720 --> 00:18:33,080
+عن إضافة قطعة زي ال solution هذا القطعة هي العمود
+
+224
+00:18:33,080 --> 00:18:38,120
+ال solution هذا بروح أشوف هو solution تبع مين بشيل
+
+225
+00:18:38,120 --> 00:18:44,440
+القطعة من ال totalالقطعة دي التلاتة تشيلناها من ال
+
+226
+00:18:44,440 --> 00:18:50,160
+total الستة ضال تلاتة ال F of تلاتة هيته أجا من
+
+227
+00:18:50,160 --> 00:18:55,280
+وين؟ من هذا ال minimum هذا ال minimum تابع ل ال
+
+228
+00:18:55,280 --> 00:19:00,600
+coin هذه اللي
+
+229
+00:19:00,600 --> 00:19:07,560
+عامله هو هنا أنا في الجدول حاطط التلاتةSolutions
+
+230
+00:19:07,560 --> 00:19:12,560
+هو بس ذاكر ال solution اللي له استخدام يعني
+
+231
+00:19:12,560 --> 00:19:20,480
+الاكسات مش مدخلهم هاي F of two اتنين ناقص واحد F
+
+232
+00:19:20,480 --> 00:19:26,300
+of تلاتة احاطط هذا وهذا تلاتة ناقص واحد و تلاتة
+
+233
+00:19:26,300 --> 00:19:33,040
+ناقص تلاتة ليه F of اتنين و F of Zero مظبوط؟ F of
+
+234
+00:19:33,040 --> 00:19:33,900
+اتنين و F of Zero
+
+235
+00:19:40,400 --> 00:19:47,520
+هنا في أربعة F of أربعة ناقص واحد و أربعة ناقص
+
+236
+00:19:47,520 --> 00:19:53,800
+تلاتة و أربعة ناقص أربعة اللي هم ال zero و ال واحد
+
+237
+00:19:53,800 --> 00:20:01,420
+و التلاتة صح okay ف ال zero هذا اللي مسجل هنا
+
+238
+00:20:01,420 --> 00:20:05,740
+solutions تبعتهم هدول ال N هدول مبالغ اللي مسجل هن
+
+239
+00:20:05,740 --> 00:20:10,700
+دي في الجدول هذا اللي هو solutions تبعتهمطيب ننطلع
+
+240
+00:20:10,700 --> 00:20:13,480
+على المثال التاني اللي بعده اول اشي جابه للمثال
+
+241
+00:20:13,480 --> 00:20:18,360
+التاني شو ال complexity تبع ال algorithm هنا احنا
+
+242
+00:20:18,360 --> 00:20:23,120
+ال algorithm بدها تشكل
+
+243
+00:20:24,520 --> 00:20:28,260
+أنا عندي two arrays array اللي هي المبالغ و array
+
+244
+00:20:28,260 --> 00:20:33,400
+ال F ال algorithm بساطة بدأ تعبي القيام هذه صح
+
+245
+00:20:33,400 --> 00:20:37,040
+يبدأ تلف عند كل واحدة و تعمل الحسبة تباتها و
+
+246
+00:20:37,040 --> 00:20:41,460
+تعبيها الحسبة هتبقى عبارة عن عمليات جمع و ناخد ال
+
+247
+00:20:41,460 --> 00:20:47,880
+minimum و نضيف one بعد ما ناخد ال minimum بعد ما
+
+248
+00:20:47,880 --> 00:20:54,080
+ناخد ال minimum بنضيف واحد okayالقيم اللي داخل الـ
+
+249
+00:20:54,080 --> 00:20:59,120
+minimum بتأتي من الجدول نفسه من الخلايا اللي قبل
+
+250
+00:20:59,120 --> 00:21:03,380
+ففي الآخر كل هذه العمليات عملية جامعة عملية مقارنة
+
+251
+00:21:03,380 --> 00:21:07,440
+كل هذه basic operations السؤال هو أكم مرة بتتكرر
+
+252
+00:21:07,440 --> 00:21:13,200
+هذه ال basic operations؟ بتتكرر عدد N من المرات
+
+253
+00:21:13,200 --> 00:21:16,780
+لأن أنا بدي أعبي عدد N من الخلايا
+
+254
+00:21:28,960 --> 00:21:34,320
+المسألة بتعتمد مش بس على ان اللي هو المبلغ ايضا
+
+255
+00:21:34,320 --> 00:21:37,760
+بتعتمد على عدد القطع ان لما يكون في اندي بس ثلاث
+
+256
+00:21:37,760 --> 00:21:42,380
+قطع غير لما يكون اندي قطعتين او اربعمظبوط؟ لأنه
+
+257
+00:21:42,380 --> 00:21:48,920
+انا هذا الجدول عدد عامدته يساوي عدد القطع لو كاندي
+
+258
+00:21:48,920 --> 00:21:52,900
+اربع قطع بدي اعمل عمود رابع فانا هذا الحسب بتعتمد
+
+259
+00:21:52,900 --> 00:21:58,100
+على N N اللي هو عدد المبالف اللي هو تدرج المبالف
+
+260
+00:21:58,100 --> 00:22:02,420
+ضرب M اللي هو عدد القطع فال complexity ده من ناحية
+
+261
+00:22:02,420 --> 00:22:02,800
+ال time
+
+262
+00:22:09,650 --> 00:22:14,170
+هذا الـ time الـ space زي ما تشايف ال space أنا
+
+263
+00:22:14,170 --> 00:22:18,110
+بدي two arrays ال ray بطول N و ال ray تاني لل F
+
+264
+00:22:18,110 --> 00:22:33,610
+برضه بطول N مظبوط؟ يبقى ال space complexity N big
+
+265
+00:22:33,610 --> 00:22:38,450
+O ولا big Omega ولا big إيش ال space؟ هل في عندي؟
+
+266
+00:22:40,660 --> 00:22:46,680
+الـ space دايمًا big، دايمًا of n، دايمًا، صح؟
+
+267
+00:22:46,680 --> 00:22:51,760
+يعني ما في حالات .. في بعض الحالات هحتاج أقل و بعض
+
+268
+00:22:51,760 --> 00:22:55,180
+الحالات هحتاج أكتر هنا في ال time بعض الحالات
+
+269
+00:22:55,180 --> 00:22:58,900
+هحتاج أقل يعني بعض الحالات مش هحسبها و بعض الحالات
+
+270
+00:22:58,900 --> 00:23:05,280
+هحسبها، صح؟ ففي عندي minimum و maximumمظبوط؟ بس في
+
+271
+00:23:05,280 --> 00:23:10,640
+ال space أنا دايما لازم أفرد ال ray بطول n ف big
+
+272
+00:23:10,640 --> 00:23:18,480
+theta صح؟ مظبوط؟
+
+273
+00:23:18,480 --> 00:23:26,720
+طيب نطلع على المثال التاني اللي هو رقم 3 هاي
+
+274
+00:23:26,720 --> 00:23:27,920
+ال algorithm على فكرة
+
+275
+00:23:35,160 --> 00:23:40,700
+ممكن تتبعوها بس هي يعني بسيطة مش انه ال loop
+
+276
+00:23:40,700 --> 00:23:45,940
+الداخلية هذه J بدنا نلف على كل الأملات اولا بدنا
+
+277
+00:23:45,940 --> 00:23:50,580
+نلف على كل المبالغ من 1 ل N بدنا نلف على كل
+
+278
+00:23:50,580 --> 00:23:57,180
+الأملات احسب ال minimum ال while هذه J1 J2 J3 بدنا
+
+279
+00:23:57,180 --> 00:24:02,460
+نحسبهم كلهم و اخد ال minimum D of J هذا معناته
+
+280
+00:24:02,460 --> 00:24:09,020
+ايش؟الوحدة جي واحد واحدتها واحد جي اتنين واحدتها
+
+281
+00:24:09,020 --> 00:24:13,060
+ثلاثة جي اتنين واحدتها اربع تمام ال temp هذا عشان
+
+282
+00:24:13,060 --> 00:24:16,740
+يخزن ال minimum لما نشوف اقل منه بيبدل و بعدين
+
+283
+00:24:16,740 --> 00:24:23,600
+بيزوّج جي لحد يت ما جي طالب ان جي اقل من M و I لحد
+
+284
+00:24:23,600 --> 00:24:28,160
+يت ما يصل لواحدة من الوحدات هي في حد ذاتها اكبر من
+
+285
+00:24:28,160 --> 00:24:32,820
+المبلغ لازم اقم .. لا بقدرش استخدمالاربعة اذا كانت
+
+286
+00:24:32,820 --> 00:24:38,560
+اكثر من المبلغ اللي معاه فهذه I اكبر من او اقل او
+
+287
+00:24:38,560 --> 00:24:44,120
+اكبر من او تساوي اذا الطولة معاه D of J اكبر من I
+
+288
+00:24:44,120 --> 00:24:52,840
+بيوقف فهو في كل loop من ال four بيعبي F of I
+
+289
+00:24:55,800 --> 00:24:59,200
+في الآخر return in لأن هذا ال algorithm لا يتحلل
+
+290
+00:24:59,200 --> 00:25:04,040
+كل القضية بس بيطلقلي عدد ال coins ال minimum بس
+
+291
+00:25:04,040 --> 00:25:08,300
+عشان اجيب مين هم ال coins بدعمل backtracking
+
+292
+00:25:08,300 --> 00:25:14,360
+بالطريقة اللي توي شفناها خلصنا
+
+293
+00:25:14,360 --> 00:25:18,140
+من ال algorithm طيب نشوف ال example اللي بعده
+
+294
+00:25:18,140 --> 00:25:24,180
+example اللي بعده coin collectingعلى فرض ان انا في
+
+295
+00:25:24,180 --> 00:25:29,300
+عندي لوحة زي هيكة وفي عندي تخيلي روبوت الروبوت بدي
+
+296
+00:25:29,300 --> 00:25:34,820
+لف يجمع هدولة برضه coins قطع ومالهم مش يعني وحدات
+
+297
+00:25:34,820 --> 00:25:40,080
+كلهم نفس القيم قطع او حجار او كده والروبوت بدي
+
+298
+00:25:40,080 --> 00:25:46,420
+يبدأ من واحد واحد وبينتهي على المربع الأخير اللوحة
+
+299
+00:25:46,420 --> 00:25:54,410
+مش مربعة يعني هنا ستة في خمسةم في ن المهم حركة
+
+300
+00:25:54,410 --> 00:25:59,810
+الروبوت هي اما افقي لقدام او عمودي لتحت فقط لا
+
+301
+00:25:59,810 --> 00:26:06,210
+بيطلع ولا بيرجع فهو بيبدأ من هنا بيتحرك اما هيك او
+
+302
+00:26:06,210 --> 00:26:13,610
+هيك الهدف ان يجمع اكبر عدد من القطعة تخيل مثلا لو
+
+303
+00:26:13,610 --> 00:26:18,870
+قاعد ماشية راح هيكو بعدين ياما يكمل هكذا و ينزل
+
+304
+00:26:18,870 --> 00:26:22,410
+على هدوله او ينزل و ياخد هدى ماهي جمعهاش الا قطع
+
+305
+00:26:22,410 --> 00:26:26,510
+تانه قطعة غلط هكذا طبعا يعني مابنصبطش انسى بشيء ان
+
+306
+00:26:26,510 --> 00:26:31,910
+يمشي هكذا يصل هدى و بعدين يجيب هدى و بعدين يجيب
+
+307
+00:26:31,910 --> 00:26:35,450
+هدى و بعدين هكذا صح؟ حياته اللي هو ال solution
+
+308
+00:26:35,450 --> 00:26:42,590
+هداك مصبوط؟ هيجمع واحد اتنين تلاتة اربعة خمسة صح؟
+
+309
+00:26:44,320 --> 00:26:48,580
+هل يوجد افضل من ذلك؟ لا أظن ذلك بالتأكيد لا يوجد
+
+310
+00:26:48,580 --> 00:26:53,580
+افضل من ذلك لأنه هذا هو الحلال تمام الان الـ
+
+311
+00:26:53,580 --> 00:26:56,720
+Dynamic Algorithm solution لهذا المسألة انه احنا
+
+312
+00:26:56,720 --> 00:27:02,180
+نيجي نقول okay انا الآن لما نيجرف هو هنا okay اما
+
+313
+00:27:02,180 --> 00:27:06,600
+هكون جاي من هنا او هكون جاي من هنا مظبوط؟ لأن
+
+314
+00:27:06,600 --> 00:27:10,160
+حركته يقدم او ينزل طيب
+
+315
+00:27:12,080 --> 00:27:17,160
+الخلية هذه مافيش فيها coins عدد اللي حيكون جمعه
+
+316
+00:27:17,160 --> 00:27:23,060
+لما نوصل هنا يساوي عدد اللي حيكون جمعه لما أجى من
+
+317
+00:27:23,060 --> 00:27:28,780
+هنا زائد صفر صفر الخلية نفسها صفر مافيش فيها إش أو
+
+318
+00:27:28,780 --> 00:27:37,520
+عدد اللي حيكون جمعه لو أجى من هنا طيب لو هو أجى من
+
+319
+00:27:37,520 --> 00:27:43,160
+هنا كده عدد اللي ..هيكون جمعه يساوي عدد اللي جمعه
+
+320
+00:27:43,160 --> 00:27:47,840
+لو أجى من هنا زائد او عدد اللي جمعه لو أجى من هنا
+
+321
+00:27:47,840 --> 00:27:54,340
+زائد واحد الخلية فيها واحد يعني في الآخر في عندي
+
+322
+00:27:54,340 --> 00:28:06,040
+الخلية نفسها Cij IJ الخلية
+
+323
+00:28:06,040 --> 00:28:29,420
+نفسها ممكن تكون واحد او صفرزائد الـ I نقص
+
+324
+00:28:29,420 --> 00:28:30,680
+واحد و جاء
+
+325
+00:28:40,810 --> 00:28:49,350
+لأ ليش نقول best نقول total الخلية
+
+326
+00:28:49,350 --> 00:28:55,230
+هي دي اللي جابل ماحظين
+
+327
+00:28:55,230 --> 00:28:58,970
+إيش أنا سويت هنا I نقص واحد يعني السطر اللي فوق
+
+328
+00:28:58,970 --> 00:29:05,070
+نفس العمود هنا نفس السطر العمود اللي جابل فاحنا
+
+329
+00:29:14,930 --> 00:29:21,510
+سرتيجية الـ Algorithm انها تختار مين من هدولة اكتر
+
+330
+00:29:21,510 --> 00:29:26,390
+فائل
+
+331
+00:29:36,090 --> 00:29:40,110
+الـ total عند أي خلية بيساوي أيش فيه في الخلية
+
+332
+00:29:40,110 --> 00:29:45,370
+نفسها فيها كون ولا لأ زائد مين أفضل في الخيارين من
+
+333
+00:29:45,370 --> 00:29:50,270
+الخيارين ال total تبع اللي فوق ولا ال total تبع
+
+334
+00:29:50,270 --> 00:29:57,630
+اللي هو اللي قبل هذا
+
+335
+00:29:57,630 --> 00:30:04,770
+الجدول بيسجل اللي هو الخيارات كلهاأنا الآن عندي
+
+336
+00:30:04,770 --> 00:30:10,550
+الخلية هذه واحد واحد مافيش قابلها مافيش فوقها ولا
+
+337
+00:30:10,550 --> 00:30:13,890
+مافيه قابلها وهي نفسها فاضية في اللعبة هي نفسها
+
+338
+00:30:13,890 --> 00:30:19,650
+فاضية ماشي فسواء جيت مافيش أصل مجال أن أجي من فوق
+
+339
+00:30:19,650 --> 00:30:23,190
+وهي نفسها فاضية zero وهذه زيها وهذه زيها وهذه زيها
+
+340
+00:30:23,190 --> 00:30:24,770
+هذه رقم خمسة
+
+341
+00:30:27,440 --> 00:30:30,640
+هذا رقم خمسة ليس هناك مجال نقاش من فوق لكن هناك
+
+342
+00:30:30,640 --> 00:30:34,520
+مجال نقاش من الجانب وهذه كذلك هدولة كلهم يعني من
+
+343
+00:30:34,520 --> 00:30:39,360
+أند اتنين لهيك هناك مجال نقاش من الشمال لكن لا
+
+344
+00:30:39,360 --> 00:30:46,120
+يوجد هناك مجال نقاش من فوق فهذا الخلية الأن أكبر
+
+345
+00:30:46,120 --> 00:30:52,640
+قيمة ممكن يحصل عليها الروبوت لما يصلها هي ايش؟
+
+346
+00:30:52,640 --> 00:30:57,780
+Zero من قبلها زائد ال coin اللي فيها فواحدهذه
+
+347
+00:30:57,780 --> 00:31:01,480
+الخلية هي نفس الـ Zero لو أتي عليها الروبوت سيكون
+
+348
+00:31:01,480 --> 00:31:04,900
+حامل معاه واحد من هنا وطبعا لن يستطيع أن يأتي من
+
+349
+00:31:04,900 --> 00:31:10,500
+هنا فأحنا نقاش الأرقام هذه هي أفضل قيمة ممكن يكون
+
+350
+00:31:10,500 --> 00:31:15,360
+حاصرة عليها الروبوت لما نصل لهذه المربعة هنا برضه
+
+351
+00:31:15,360 --> 00:31:20,420
+كلهم Zero صح؟ لماذا؟ لأنه لن يستطيع أن يأتي من
+
+352
+00:31:20,420 --> 00:31:25,380
+الشمال ويمكن أن يأتي من فوق فوق Zeroهذه فوق Zero
+
+353
+00:31:25,380 --> 00:31:30,740
+وهي فاضية فزيرو وهذه فوق Zero وهي فاضية زيرو لأن
+
+354
+00:31:30,740 --> 00:31:37,280
+هنا كله سيبقى جاي فاضي وهي فيها واحد فهياخد هذا
+
+355
+00:31:37,280 --> 00:31:42,000
+الواحد طبعا الان خد عندك هذا الخلية الخلية اللي
+
+356
+00:31:42,000 --> 00:31:45,960
+فيها Coin لو أجى من فوق أو أجى من الشمال سيبقى
+
+357
+00:31:45,960 --> 00:31:54,170
+فاضي لأن هو Zero اضافة إلى هي صار واحد مظبوط؟هذه
+
+358
+00:31:54,170 --> 00:32:02,310
+الخلية 01 وهي 01 طبعا
+
+359
+00:32:02,310 --> 00:32:08,190
+على هذه الخلية هذه الخلية هي تقابل هنا صح؟ هي
+
+360
+00:32:08,190 --> 00:32:11,790
+نفسها فاضية ممكن يجي من فوق ممكن يجي من الشمال إذا
+
+361
+00:32:11,790 --> 00:32:15,070
+أجي من فوق جاي معاه تلاتة إذا أجي من الشمال جاي
+
+362
+00:32:15,070 --> 00:32:19,430
+معاه اتنين مين الأفضل؟ التلاتة فبنسجل التلاتة هذه
+
+363
+00:32:19,430 --> 00:32:26,390
+الخلية اللي هي تقابل هناممكن يأتي من فوق أو من
+
+364
+00:32:26,390 --> 00:32:31,310
+الشمال إذا
+
+365
+00:32:31,310 --> 00:32:33,790
+أجى من الشمال معاه تلاتة و هي فيها واحد هي أربعة
+
+366
+00:32:33,790 --> 00:32:37,490
+إذا أجى من فوق معاه أربعة و هي فيها واحد هي خمسة
+
+367
+00:32:37,490 --> 00:32:38,770
+الخمسة الأكتر
+
+368
+00:32:45,330 --> 00:32:50,470
+أنا عملياً كل المطلوب في الحالة هذه في المسألة هذه
+
+369
+00:32:50,470 --> 00:32:54,990
+ان احنا نعبيت جدول و نعبيت جدول هذا على أساس انه
+
+370
+00:32:54,990 --> 00:33:01,390
+كل خلية قيمة اللي بتتخزن فيها هي عبارة عن قيمتها
+
+371
+00:33:01,390 --> 00:33:10,850
+نفسها zero او one زائد الأفضل من الاتجاهين زائد
+
+372
+00:33:10,850 --> 00:33:15,620
+الأفضل من الاتجاهين اللي فوق او اللي جابلخلاص وصلت
+
+373
+00:33:15,620 --> 00:33:20,020
+انا الان ان هذه القالية الأخيرة اللي حاجة فيها ال
+
+374
+00:33:20,020 --> 00:33:22,700
+robot عندها ال robot تحتوي على خمسة الان الخمسة
+
+375
+00:33:22,700 --> 00:33:30,460
+هذه من اي مسار بدها تيجي بدنا نشوف الخمسة هذه مين
+
+376
+00:33:30,460 --> 00:33:34,460
+من الخيارين اللي اصلا ودوا اليها اكبر فبالحجم
+
+377
+00:33:34,460 --> 00:33:47,720
+بالحجم صح هنا الاربع هنا التلاتة هناتلاتة هنا تنين
+
+378
+00:33:47,720 --> 00:33:55,940
+هنا الواحد هنا الواحد هنا تنين سيان ياما ممكن اروح
+
+379
+00:33:55,940 --> 00:34:01,040
+هيك او بروح هيك اذا روحت هيك مين هادي مين مافيش في
+
+380
+00:34:01,040 --> 00:34:05,060
+وجهها و ماليش اللي هنا هادي لأ لو روحت هنا مافيش
+
+381
+00:34:05,060 --> 00:34:08,000
+الشمال و مافيش اللي هنا يبقى يبقى لان بيبدأ
+
+382
+00:34:08,000 --> 00:34:11,700
+الروبوت من هنا معاه خيار اما يروح هيك او يروح هيك
+
+383
+00:34:11,700 --> 00:34:18,170
+سيان بعد ما يروح هيك لازم يمشيو إذا راح حاجة برضه
+
+384
+00:34:18,170 --> 00:34:23,650
+لازم يمشيه و هذا هو المصار الخط المنجط هذا إشارة
+
+385
+00:34:23,650 --> 00:34:31,050
+إلى أنه بديل عن ال alternative في
+
+386
+00:34:31,050 --> 00:34:36,990
+كل مسائل ال dynamic programming النمط
+
+387
+00:34:36,990 --> 00:34:43,610
+واحد بجيب solution و بعدين بعمل backtracking عشان
+
+388
+00:34:43,610 --> 00:34:49,320
+أطلع التسلسلأو الـ combination أو الـ permutation
+
+389
+00:34:49,320 --> 00:34:53,440
+بس أهم إشي في ال dynamic programming هو أني أنا
+
+390
+00:34:53,440 --> 00:34:58,840
+أصيغ ال relation هذه اللي هي ال recurrence تبع ال
+
+391
+00:34:58,840 --> 00:35:02,900
+algorithm أنه .. أنه ال solution إنها أيه بيتمد
+
+392
+00:35:02,900 --> 00:35:07,260
+على شو خيارات هنا ال solution إنها أيه بيتمد على
+
+393
+00:35:07,260 --> 00:35:11,800
+خيارين اللي هو إذا احنا نيجي من فوق أو نيجي من
+
+394
+00:35:11,800 --> 00:35:18,080
+الشمالمضعف اليهم قيمة الخلية في المثال الأولاني
+
+395
+00:35:18,080 --> 00:35:23,740
+كان solution واحد بيشتمل
+
+396
+00:35:23,740 --> 00:35:27,420
+على الواحد
+
+397
+00:35:27,420 --> 00:35:32,740
+زائد أفضل خيار في الاحتمالات اللي قبل ايش
+
+398
+00:35:32,740 --> 00:35:35,040
+الاحتمالات اللي قبل؟ اللي هي ايش ال coins اللي
+
+399
+00:35:35,040 --> 00:35:38,460
+عندنا coin من قطعة اما الواحد اما التلاتة اما
+
+400
+00:35:38,460 --> 00:35:38,880
+الأربع
+
+401
+00:35:41,500 --> 00:35:45,900
+بنختبر كل الاحتمالات هذه نشوف مين الأقل و نضيف
+
+402
+00:35:45,900 --> 00:35:49,480
+عليه واحد وهذا هو اللي بدى يتسجل في الخلية مثال
+
+403
+00:35:49,480 --> 00:35:55,540
+الأخير اللى هو اول واحد كان ارجعله اه sorry ال
+
+404
+00:35:55,540 --> 00:36:02,680
+example تلاتة هذا شو ال complexity تبعته واضح ان
+
+405
+00:36:02,680 --> 00:36:10,250
+انا بدى عبي جدول و الجدول هذا M في Nيبقى من ناحية
+
+406
+00:36:10,250 --> 00:36:17,410
+الـ time و الـ space من ناحية الـ space عندي تخيلي
+
+407
+00:36:17,410 --> 00:36:21,610
+ال ray N في M و من ناحية ال time لازم أعبيهم كلهم
+
+408
+00:36:21,610 --> 00:36:27,320
+يبقى برضه N في M فهذا و big theta لأن مافيworst
+
+409
+00:36:27,320 --> 00:36:32,820
+case بس لازم أعبيهم كلهم في كل الحالات الان
+
+410
+00:36:32,820 --> 00:36:36,620
+عملية ال backtracking لو برضه بده احسبها انا بده
+
+411
+00:36:36,620 --> 00:36:45,020
+امشي مسار صح فهو N زي م طول المسار هذا N زي مماشي
+
+412
+00:36:45,020 --> 00:36:51,160
+انا همشي عشان اصل هنا لازم امشي N زي م مظبوط سواء
+
+413
+00:36:51,160 --> 00:36:55,880
+جبت هويتين ولا جبت مكسرة في الآخر مجموعة القلالة
+
+414
+00:36:55,880 --> 00:37:02,460
+اللي همشيهم هم N زي م طيب نرجع تاني الى اللي هو ال
+
+415
+00:37:02,460 --> 00:37:05,600
+problem الأولى على السريع اللي هي ال coin row
+
+416
+00:37:05,600 --> 00:37:09,960
+problem انتوا مروا عليكم اشي قبل هيك في ال dynamic
+
+417
+00:37:09,960 --> 00:37:15,410
+programming؟ ممرش طيبالاحتمال هي تكون مرة يعني
+
+418
+00:37:15,410 --> 00:37:20,630
+الأولى احنا في ال problem هذه هنطلع عليها السريع
+
+419
+00:37:20,630 --> 00:37:24,790
+انه بيبقى في عندي سطر من ال coins سطر من ال coins
+
+420
+00:37:24,790 --> 00:37:30,690
+زي مثلا ركزوا معايا علشان مايدويش عليكم اللي هو ال
+
+421
+00:37:30,690 --> 00:37:35,190
+problem هذه عندي سطر من ال coins زي هيكا مثلا
+
+422
+00:37:35,190 --> 00:37:41,290
+الخمسةوالواحد والاتنين والعشرة والست والاتنين
+
+423
+00:37:41,290 --> 00:37:59,490
+والمطلوب ان اجيب تشكيلة منهم قيمتها اعلى اشي صحيح
+
+424
+00:37:59,490 --> 00:38:08,470
+هذه خمسة نفسها اضيف عليها صفر صح؟هذه الخمسة على أي
+
+425
+00:38:08,470 --> 00:38:12,370
+أساس خمسة، لو أنا جاي من هنا هذه أربعة، لو جاي من
+
+426
+00:38:12,370 --> 00:38:18,190
+هنا هذه تلاتة، صح؟ او هاديك على أي أساس حتى ترجعي،
+
+427
+00:38:18,190 --> 00:38:24,030
+okay مش مشكلةالأهم المشكلة اللى قلناها ان عدد من
+
+428
+00:38:24,030 --> 00:38:26,990
+ال coins و مش بضرورة يبقى distinct يعني هاي
+
+429
+00:38:26,990 --> 00:38:31,290
+الاتنين مكرر المهم ان انا مطلوب مني أجيب مجموعة
+
+430
+00:38:31,290 --> 00:38:36,650
+فراية تبقى مبلغها أكبر ما يمكن ماجيبهم كلهم و خلاص
+
+431
+00:38:37,800 --> 00:38:40,260
+أجيبهم كلهم و خلاص؟ لأ، في عندي شرط إنه ماجيبش
+
+432
+00:38:40,260 --> 00:38:44,060
+تنتين متجاورات يعني إذا خدت التنتين ماقدرش أخد
+
+433
+00:38:44,060 --> 00:38:47,260
+الستة إذا خدت الواحد ماقدرش أخد التنين ولا أخد
+
+434
+00:38:47,260 --> 00:38:51,360
+الخمسة فبدي أخد مجموعة فرعية مايبقاش فيها two
+
+435
+00:38:51,360 --> 00:38:55,940
+adjacent coins okay الآن الـ Dynamic Programming
+
+436
+00:38:55,940 --> 00:38:59,860
+Formulation لهذه المسألة إنه أنا قاعد أقول خلينا
+
+437
+00:38:59,860 --> 00:39:04,510
+نقول إنه في عندي أناالمجموعة هذه من أجزمة
+
+438
+00:39:04,510 --> 00:39:10,190
+لمجموعتين مجموعة اللي العصر الأخير معاهم ومجموعة
+
+439
+00:39:10,190 --> 00:39:13,750
+اللي العصر الأخير مش معاهم مش فيهم يعني هذا الآن
+
+440
+00:39:13,750 --> 00:39:17,430
+عصر الأخير في مجموعة ايش ممكن ييجي معاه طبعا مش
+
+441
+00:39:17,430 --> 00:39:21,690
+حاجة ده راح أحط الستة حاجة ده راح أحط لعند العشرة
+
+442
+00:39:21,690 --> 00:39:28,550
+أختار من البداية للعشرة أختار مجموعة فرعية صح ولا
+
+443
+00:39:31,710 --> 00:39:36,030
+Okay الآن بدي أختارهم بحيث يكونوا ال best ال
+
+444
+00:39:36,030 --> 00:39:41,610
+مجموعة التانية اللي هي إيش اللي بتبدأ من عند ..
+
+445
+00:39:41,610 --> 00:39:51,230
+اللي بتنتهي بالست و معاها إيش و معاها .. لأ معاها
+
+446
+00:39:51,230 --> 00:39:52,170
+اللي هو إيش
+
+447
+00:39:58,830 --> 00:40:02,030
+خلاص انت قولي المجموعة التانية اللي بتنتهي عند
+
+448
+00:40:02,030 --> 00:40:07,790
+الستة اي تشكيلة من العناصر اللي بتنتهي عند الستة
+
+449
+00:40:07,790 --> 00:40:15,970
+صح؟ صح أو لا؟ ما هو صح بما أنني حطيت الستة لما
+
+450
+00:40:15,970 --> 00:40:20,210
+أستطيع أن أحط العشرة طيب هدول المجموعتين أنا مقدرش
+
+451
+00:40:20,210 --> 00:40:24,870
+أخديجب أن أخد واحد منهم فقط لأن هؤلاء مجموعتين
+
+452
+00:40:24,870 --> 00:40:29,150
+متشابكتين أي عنصر من هؤلاء سيكون مجاور لعنصر من
+
+453
+00:40:29,150 --> 00:40:31,770
+التانية فإذا أخدت من هؤلاء لن أستطيع أن أخد من
+
+454
+00:40:31,770 --> 00:40:38,030
+هؤلاء يبقى ايش؟ Disjoint يبقى أنا لازم أخد هذه أو
+
+455
+00:40:38,030 --> 00:40:42,470
+هذه مين أخد؟ طبعا ال maximum اللي بتعطينا أكبر
+
+456
+00:40:42,470 --> 00:40:49,170
+مبلغ ولا لأ؟ يبقى ال solution تبعي أن ال maximum
+
+457
+00:40:49,170 --> 00:40:50,110
+of
+
+458
+00:40:53,350 --> 00:40:57,910
+هذه المجموعة او هذه المجموعة خلّي بالك ان هذه
+
+459
+00:40:57,910 --> 00:41:05,050
+المجموعة اللي هي .. اللي هي .. مين هذا؟ هذه
+
+460
+00:41:05,050 --> 00:41:13,410
+المجموعة هي العنصر N ومعاه ايش؟ افضل ناس ل N نقص
+
+461
+00:41:13,410 --> 00:41:17,310
+واحد .. نقص اتنين فهذه هي .. هذه المجموعة الأولى
+
+462
+00:41:20,540 --> 00:41:25,460
+مظبوط والمجموعة التانية اللي هي هذه لحظة انه انا
+
+463
+00:41:25,460 --> 00:41:31,700
+ايش جاي اللي هو F ايش ال F هذه يعني
+
+464
+00:41:31,700 --> 00:41:41,740
+solution يعني اكبر مبلغ ممكن احصل عليه من القطع
+
+465
+00:41:41,740 --> 00:41:45,960
+اللي بتنتهي ب N ناقص واحد هنا
+
+466
+00:41:47,460 --> 00:41:51,060
+مبلغ افضل .. افضل مبلغ ممكن تحصل عليه من القطع
+
+467
+00:41:51,060 --> 00:41:56,940
+اللي بتنتهي بالنقص اتنين okayالان اصبحت الحكاية
+
+468
+00:41:56,940 --> 00:42:01,000
+recursive انه طيب عشان انا اجيب .. احل .. اجيب هدى
+
+469
+00:42:01,000 --> 00:42:05,380
+و اجيب هدى عشان احسب مين ال maximum هدى عشان اجيبه
+
+470
+00:42:05,380 --> 00:42:09,960
+تخيلي انه هاد المجموعة اللي هي F اللي هي N اللي
+
+471
+00:42:09,960 --> 00:42:14,320
+تنتهي عند N نقص 2 برضه بده احلها بنفس الأسلوب بده
+
+472
+00:42:14,320 --> 00:42:19,940
+اخد هدى بحال و مجموعة و بعد المجموعة الأخرى okay
+
+473
+00:42:25,020 --> 00:42:31,100
+نعلم إن F of 0 أفضل maximum number لما نكون
+
+474
+00:42:31,100 --> 00:42:35,060
+ماعنديش ولا قطعة هو Zero لما نكون عندي قطعة واحدة
+
+475
+00:42:35,060 --> 00:42:40,020
+هي هذه القطعة F of 1 بيساوي C1 C1 يعني Coin يعني
+
+476
+00:42:40,020 --> 00:42:46,880
+انا اتخيل ايه هما دولة في array اسمها C و هذا C1 و
+
+477
+00:42:46,880 --> 00:42:51,760
+هذا C2 و C3 و C4 و C5 و C6
+
+478
+00:42:54,060 --> 00:42:57,560
+تمام فإذا أنا عندي كله بس ماعنديش اللي هي ده C1
+
+479
+00:42:57,560 --> 00:43:02,300
+فهي .. هي الأفضل إذا أنا عندي C .. عندي قطعتين ف
+
+480
+00:43:02,300 --> 00:43:07,900
+.. بدي أختار واحد منهم لإنه إذا أختارت الأول
+
+481
+00:43:07,900 --> 00:43:12,400
+ماقدرش أختار التاني متجاورات إذا عندي تلاتة بدي
+
+482
+00:43:12,400 --> 00:43:18,140
+أختار تنتين إذا عندي أربع بدي أختار تنتين بس
+
+483
+00:43:18,140 --> 00:43:23,880
+مايكونوش جانب بعضالحل النهائي يعتمد على الحل اللي
+
+484
+00:43:23,880 --> 00:43:27,340
+جابله واللي جابله واضح فإيش ال solution كيف ممكن
+
+485
+00:43:27,340 --> 00:43:31,000
+نحل الأمور هذا فيها ال D array اللي هي array ال
+
+486
+00:43:31,000 --> 00:43:34,540
+coins حياتهم الخمسة والواحد والاتنين والعشرة
+
+487
+00:43:34,540 --> 00:43:38,180
+والستة والاتنين الآن بحسب أعمل array أخرى بحسب
+
+488
+00:43:38,180 --> 00:43:44,100
+فيها ال Fلما أقول F of 0 على طول و احنا مقنضين
+
+489
+00:43:44,100 --> 00:43:50,420
+بيساوي 0 صح؟ F of 1 يساوي ايش؟ C1 و يساوي عندي هنا
+
+490
+00:43:50,420 --> 00:43:57,880
+خمسة، مظبوط؟ هذي C1 طيب C .. F of 2؟
+
+491
+00:43:57,880 --> 00:44:02,360
+بدنا نيجي ان احسب من ال maximum، maximum ماببين
+
+492
+00:44:02,360 --> 00:44:14,410
+ايش؟ F of .. اسف C1 .. C2C2 زائد F of N ناقص 2
+
+493
+00:44:14,410 --> 00:44:19,650
+والخيار الآخر هو F of N ناقص 1 مش هيكة؟ مش هيكة
+
+494
+00:44:19,650 --> 00:44:26,690
+كانت الا تا ولا هدا؟ CN زائد F of N ناقص 2 والبديل
+
+495
+00:44:26,690 --> 00:44:32,130
+الآخر F of N ناقص 1 هذا إيه شو ساوي؟ CO2 معلوم؟
+
+496
+00:44:32,130 --> 00:44:38,130
+معلوم طبعا، هياتوا F of N ناقص 2 معلوم؟ إيش N؟ مش
+
+497
+00:44:38,130 --> 00:44:45,330
+ب2؟ن بيساوي اتنين اتنين ماقص اتنين Zero ايش F of
+
+498
+00:44:45,330 --> 00:44:51,490
+Zero F of Zero Zero طيب
+
+499
+00:44:51,490 --> 00:44:56,730
+الـ F of N ماقص واحد معلوم ن بيساوي اتنين N ماقص
+
+500
+00:44:56,730 --> 00:45:04,870
+واحد واحد ايش F of واحد خمسة مين الأكبر مين
+
+501
+00:45:04,870 --> 00:45:08,590
+الأكبر خمسة فبسجل على F اتنين
+
+502
+00:45:18,340 --> 00:45:26,500
+خمسة طبعا الان F اه خمسة هيا الان F of تلاتة N
+
+503
+00:45:26,500 --> 00:45:33,440
+بتساوي تلاتة F of تلاتة بيساوي يا اما C of تلاتة C
+
+504
+00:45:33,440 --> 00:45:41,540
+تلاتة زائد F of تلاتة نقص اتنين واحد صح او F of
+
+505
+00:45:41,540 --> 00:45:49,670
+تلاتة نقص واحد اتنين جداش هذا C تلاتة جداشC3 2 صح
+
+506
+00:45:49,670 --> 00:45:57,830
+زائد F1 F1 5 صح يساوي 7 مظبوط ايش البديل الآخر منه
+
+507
+00:45:57,830 --> 00:46:05,290
+F2 اللي هي خمسة مين الأكبر سبعة نسجل سبعة في ايش
+
+508
+00:46:05,290 --> 00:46:12,090
+في F3 وعلى هذا الحالة في الآخر في الآخر بيصل معايا
+
+509
+00:46:12,090 --> 00:46:18,950
+انه ايشF of N 17 يعني لما يكون في عندي ست قطع هم
+
+510
+00:46:18,950 --> 00:46:25,130
+هدولة أفضل تشكيلة بقدر أخدها مجموحها 17 لكن من هم
+
+511
+00:46:25,130 --> 00:46:27,890
+طيب للمحاضرة القادمة
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..74634bdcee10a3e1fa8638b019325ef2effc63d2
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4313, "start": 20.81, "end": 43.13, "text": "بسم الله الرحمن الرحيم والحمد لله والصلاة والسلام على أشرف المرسلين اليوم ان شاء الله بنبدأ chapter جديد chapter هذا بانوان dynamic programming موضوع ال dynamic programming بالاصل هو كان احد مواضيع ال space and time trade-offs ولكن احنا نتناوله ب chapter لحاله ونفصل ال dynamic programming", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 16070, 35571, 3215, 24976, 3224, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 15844, 5551, 8592, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 16472, 13412, 16606, 21984, 44945, 44510, 10721, 7187, 10874, 16254, 3215, 7187, 23758, 4724, 7649, 2407, 7649, 8546, 9410, 3714, 2407, 11242, 45367, 2423, 8546, 9410, 20666, 33546, 1211, 31439, 25961, 1975, 24401, 3714, 2407, 46958, 40228, 2423, 1901, 293, 565, 4923, 12, 19231, 35525, 19452, 1975, 5016, 8315, 8717, 2655, 8315, 12610, 3224, 4724, 7187, 5296, 5016, 6027, 3224, 4032, 1863, 5172, 36520, 2423, 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"temperature": 1.0}, {"id": 2, "seek": 5429, "start": 43.79, "end": 54.29, "text": "الاسم كلمة programming صراحة مايلها علاقة بالبرمجة انما هي programming بمعنى التخطيط يعني شيلي كلمة programming وقولي dynamic planning", "tokens": [6027, 32277, 2304, 9122, 19528, 3660, 9410, 20328, 23557, 5016, 3660, 19446, 26895, 11296, 11203, 995, 28671, 20666, 26890, 2304, 7435, 3660, 16472, 15042, 39896, 9410, 4724, 2304, 3615, 1863, 7578, 16712, 9778, 9566, 1829, 9566, 37495, 22653, 13412, 26895, 1829, 9122, 19528, 3660, 9410, 4032, 39648, 1829, 8546, 5038], "avg_logprob": -0.15287989494847318, "compression_ratio": 1.463768115942029, "no_speech_prob": 0.0, "words": [{"start": 43.79, "end": 44.63, "word": "الاسم", "probability": 0.8390299479166666}, {"start": 44.63, "end": 45.31, "word": " كلمة", "probability": 0.7940266927083334}, {"start": 45.31, "end": 45.97, "word": " programming", "probability": 0.787109375}, {"start": 45.97, "end": 46.49, "word": " صراحة", "probability": 0.93310546875}, 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هي عبارة عن التلاتة مضعفة إلى F of الباقي هذه هذه okay", "tokens": [10721, 7435, 2655, 9154, 16095, 46740, 24192, 39896, 6225, 3555, 9640, 3660, 18871, 29538, 30767, 1829, 37495, 22653, 36764, 24401, 30767, 1829, 23758, 1392, 23758, 10874, 47302, 9154, 4032, 9957, 10874, 47302, 9154, 16712, 1211, 9307, 3660, 37495, 22653, 41850, 12174, 1211, 2655, 9122, 33456, 1829, 12174, 1211, 2655, 21136, 2655, 3660, 39896, 6225, 3555, 9640, 3660, 18871, 16712, 1211, 9307, 3660, 3714, 11242, 3615, 5172, 3660, 30731, 479, 295, 29739, 995, 38436, 29538, 29538, 1392], "avg_logprob": -0.24107143553820523, "compression_ratio": 1.8101265822784811, "no_speech_prob": 0.0, "words": [{"start": 1006.17, "end": 1006.75, "word": "أجت", "probability": 0.7195638020833334}, {"start": 1006.75, "end": 1007.13, "word": " منهم", "probability": 0.931396484375}, {"start": 1007.13, "end": 1007.95, "word": " لهذه", "probability": 0.8037109375}, {"start": 1007.95, "end": 1008.49, "word": " هي", "probability": 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أعبي", "probability": 0.6590169270833334}, {"start": 1275.44, "end": 1275.8, "word": " عدد", "probability": 0.9921875}, {"start": 1275.8, "end": 1276.06, "word": " N", "probability": 0.95751953125}, {"start": 1276.06, "end": 1276.24, "word": " من", "probability": 0.9892578125}, {"start": 1276.24, "end": 1276.78, "word": " الخلايا", "probability": 0.9718424479166666}], "temperature": 1.0}, {"id": 49, "seek": 130022, "start": 1288.96, "end": 1300.22, "text": "المسألة بتعتمد مش بس على ان اللي هو المبلغ ايضا بتعتمد على عدد القطع ان لما يكون في اندي بس ثلاث قطع غير لما يكون اندي قطعتين او اربع", "tokens": [45340, 3794, 10721, 37977, 39894, 34268, 2304, 3215, 37893, 4724, 3794, 15844, 16472, 13672, 1829, 31439, 9673, 36150, 17082, 1975, 1829, 11242, 995, 39894, 34268, 2304, 3215, 15844, 6225, 3215, 3215, 25062, 9566, 3615, 16472, 5296, 15042, 7251, 30544, 8978, 16472, 16254, 4724, 3794, 38637, 1211, 5718, 104, 12174, 9566, 3615, 32771, 13546, 5296, 15042, 7251, 30544, 16472, 16254, 12174, 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اما افقي لقدام او عمودي لتحت فقط لا بيطلع ولا بيرجع فهو بيبدأ من هنا بيتحرك اما هيك او هيك الهدف ان يجمع اكبر عدد من القطعة تخيل مثلا لو قاعد ماشية راح هيك", "tokens": [2304, 8978, 8717, 9673, 16095, 11331, 31747, 3660, 2423, 32887, 3555, 35473, 39896, 1975, 15042, 1975, 5172, 38436, 5296, 28543, 10943, 1975, 2407, 6225, 2304, 2407, 16254, 5296, 2655, 33753, 6156, 47432, 20193, 4724, 1829, 9566, 1211, 3615, 49429, 4724, 13546, 7435, 3615, 6156, 3224, 2407, 4724, 1829, 44510, 10721, 9154, 34105, 4724, 36081, 5016, 31747, 1975, 15042, 39896, 4117, 1975, 2407, 39896, 4117, 2423, 3224, 3215, 5172, 16472, 7251, 7435, 2304, 3615, 1975, 4117, 26890, 6225, 3215, 3215, 9154, 25062, 9566, 27884, 6055, 9778, 26895, 50113, 15040, 45164, 12174, 995, 22488, 3714, 33599, 10632, 12602, 39319, 39896, 4117], "avg_logprob": -0.21953125208616256, "compression_ratio": 1.8121546961325967, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1549.65, "end": 1550.13, "word": "م", "probability": 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{"start": 2082.23, "end": 2082.49, "word": " بعمل", "probability": 0.8468424479166666}, {"start": 2082.49, "end": 2083.07, "word": " backtracking", "probability": 0.7887369791666666}, {"start": 2083.07, "end": 2083.61, "word": " عشان", "probability": 0.9334309895833334}, {"start": 2083.61, "end": 2084.61, "word": " أطلع", "probability": 0.9239501953125}, {"start": 2084.61, "end": 2085.61, "word": " التسلسل", "probability": 0.92099609375}], "temperature": 1.0}, {"id": 78, "seek": 211210, "start": 2086.32, "end": 2112.1, "text": "أو الـ combination أو الـ permutation بس أهم إشي في ال dynamic programming هو أني أنا أصيغ ال relation هذه اللي هي ال recurrence تبع ال algorithm أنه .. أنه ال solution إنها أيه بيتمد على شو خيارات هنا ال solution إنها أيه بيتمد على خيارين اللي هو إذا احنا نيجي من فوق أو نيجي من الشمال", "tokens": [10721, 2407, 2423, 39184, 6562, 34051, 2423, 39184, 4784, 11380, 4724, 3794, 5551, 16095, 11933, 8592, 1829, 8978, 2423, 8546, 9410, 31439, 14739, 1829, 41850, 5551, 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solution", "probability": 0.99267578125}, {"start": 2105.94, "end": 2106.34, "word": " إنها", "probability": 0.79833984375}, {"start": 2106.34, "end": 2106.46, "word": " أيه", "probability": 0.849853515625}, {"start": 2106.46, "end": 2106.96, "word": " بيتمد", "probability": 0.9859619140625}, {"start": 2106.96, "end": 2107.26, "word": " على", "probability": 0.94775390625}, {"start": 2107.26, "end": 2109.06, "word": " خيارين", "probability": 0.9901123046875}, {"start": 2109.06, "end": 2110.34, "word": " اللي", "probability": 0.952880859375}, {"start": 2110.34, "end": 2110.54, "word": " هو", "probability": 0.98828125}, {"start": 2110.54, "end": 2110.74, "word": " إذا", "probability": 0.4814453125}, {"start": 2110.74, "end": 2110.88, "word": " احنا", "probability": 0.7733561197916666}, {"start": 2110.88, "end": 2111.06, "word": " نيجي", "probability": 0.9405517578125}, {"start": 2111.06, "end": 2111.18, "word": " من", "probability": 0.99609375}, {"start": 2111.18, "end": 2111.38, "word": 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يتسجل في الخلية مثال الأخير اللى هو اول واحد كان ارجعله اه sorry ال example تلاتة هذا شو ال complexity تبعته واضح ان انا بدى عبي جدول و الجدول هذا M في N", "tokens": [3555, 1863, 46456, 26890, 28242, 42963, 33753, 2304, 6027, 9307, 29538, 8717, 8592, 38688, 3714, 9957, 16247, 4587, 1211, 4032, 8717, 11242, 33911, 47356, 36764, 24401, 37037, 15730, 31439, 13672, 1829, 47525, 7578, 7251, 2655, 3794, 7435, 1211, 8978, 33962, 1211, 10632, 50113, 6027, 16247, 9778, 13546, 13672, 7578, 31439, 1975, 12610, 36764, 24401, 25961, 1975, 47341, 30241, 3224, 1975, 3224, 2597, 2423, 1365, 6055, 1211, 9307, 3660, 23758, 13412, 2407, 2423, 14024, 6055, 3555, 34268, 3224, 4032, 46958, 5016, 16472, 1975, 8315, 47525, 7578, 6225, 21292, 10874, 3215, 12610, 4032, 25724, 3215, 12610, 23758, 376, 8978, 426], "avg_logprob": -0.25852271462931775, "compression_ratio": 1.7330316742081449, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2141.5, "end": 2142.22, "word": "بنختبر", "probability": 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"probability": 0.8909505208333334}, {"start": 2162.56, "end": 2162.68, "word": " ان", "probability": 0.7861328125}, {"start": 2162.68, "end": 2162.86, "word": " انا", "probability": 0.781982421875}, {"start": 2162.86, "end": 2163.04, "word": " بدى", "probability": 0.49755859375}, {"start": 2163.04, "end": 2163.3, "word": " عبي", "probability": 0.74267578125}, {"start": 2163.3, "end": 2163.76, "word": " جدول", "probability": 0.9812825520833334}, {"start": 2163.76, "end": 2164.0, "word": " و", "probability": 0.303466796875}, {"start": 2164.0, "end": 2164.26, "word": " الجدول", "probability": 0.9329427083333334}, {"start": 2164.26, "end": 2164.52, "word": " هذا", "probability": 0.8212890625}, {"start": 2164.52, "end": 2165.04, "word": " M", "probability": 0.55859375}, {"start": 2165.04, "end": 2165.68, "word": " في", "probability": 0.8955078125}, {"start": 2165.68, "end": 2166.16, "word": " N", "probability": 0.97998046875}], "temperature": 1.0}, {"id": 81, "seek": 218633, "start": 2166.93, "end": 2186.33, "text": "يبقى من ناحية الـ time و الـ space من ناحية الـ space عندي تخيلي ال ray N في M و من ناحية ال time لازم أعبيهم كلهم يبقى برضه N في M فهذا و big theta لأن مافي", "tokens": [1829, 3555, 4587, 7578, 9154, 8717, 39319, 10632, 2423, 39184, 565, 4032, 2423, 39184, 1901, 9154, 8717, 39319, 10632, 2423, 39184, 1901, 18871, 16254, 6055, 9778, 26895, 1829, 2423, 18592, 426, 8978, 376, 4032, 9154, 8717, 39319, 10632, 2423, 565, 5296, 31377, 2304, 5551, 3615, 21292, 16095, 28242, 16095, 7251, 3555, 4587, 7578, 4724, 43042, 3224, 426, 8978, 376, 6156, 3224, 15730, 4032, 955, 9725, 5296, 33456, 19446, 41185], "avg_logprob": -0.3937500089406967, "compression_ratio": 1.5947712418300655, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2166.9300000000003, "end": 2167.51, "word": "يبقى", "probability": 0.583343505859375}, {"start": 2167.51, "end": 2167.63, "word": " من", "probability": 0.83544921875}, {"start": 2167.63, "end": 2170.25, "word": " ناحية", 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"text": "worst case بس لازم أعبيهم كلهم في كل الحالات الان عملية ال backtracking لو برضه بده احسبها انا بده امشي مسار صح فهو N زي م طول المسار هذا N زي م", "tokens": [28321, 372, 1389, 4724, 3794, 5296, 31377, 2304, 5551, 3615, 21292, 16095, 28242, 16095, 8978, 28242, 21542, 6027, 9307, 2423, 7649, 6225, 42213, 10632, 2423, 646, 6903, 14134, 45164, 4724, 43042, 3224, 47525, 3224, 1975, 5016, 35457, 11296, 1975, 8315, 47525, 3224, 1975, 2304, 8592, 1829, 47524, 9640, 20328, 5016, 6156, 3224, 2407, 426, 30767, 1829, 3714, 23032, 12610, 9673, 3794, 9640, 23758, 426, 30767, 1829, 3714], "avg_logprob": -0.2865349277853966, "compression_ratio": 1.471698113207547, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2186.9, "end": 2187.32, "word": "worst", "probability": 0.533843994140625}, {"start": 2187.32, "end": 2187.56, "word": " case", "probability": 0.9169921875}, {"start": 2187.56, "end": 2187.84, "word": " بس", "probability": 0.55926513671875}, {"start": 2187.84, "end": 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27884, 8978, 1975, 1829, 8592, 8978, 479, 18, 4032, 3615, 23942, 23758, 21542, 6027, 3660, 8978, 6024, 95, 34740, 8978, 6024, 95, 34740, 4724, 1829, 36520, 20449, 995, 25528, 16472, 3224, 1975, 1829, 8592], "avg_logprob": -0.2180851047977488, "compression_ratio": 1.6826347305389222, "no_speech_prob": 5.364418029785156e-07, "words": [{"start": 2747.35, "end": 2748.07, "word": "C3", "probability": 0.6337890625}, {"start": 2748.07, "end": 2749.05, "word": " 2", "probability": 0.0679931640625}, {"start": 2749.05, "end": 2749.67, "word": " صح", "probability": 0.662841796875}, {"start": 2749.67, "end": 2750.95, "word": " زائد", "probability": 0.5127360026041666}, {"start": 2750.95, "end": 2751.71, "word": " F1", "probability": 0.9208984375}, {"start": 2751.71, "end": 2752.15, "word": " F1", "probability": 0.48193359375}, {"start": 2752.15, "end": 2753.59, "word": " 5", "probability": 0.685546875}, {"start": 2753.59, "end": 2754.11, "word": " صح", "probability": 0.974609375}, {"start": 2754.11, "end": 2755.29, "word": " يساوي", "probability": 0.9163818359375}, {"start": 2755.29, "end": 2755.69, "word": " 7", "probability": 0.92431640625}, {"start": 2755.69, "end": 2756.35, "word": " مظبوط", "probability": 0.92080078125}, {"start": 2756.35, "end": 2756.59, "word": " ايش", "probability": 0.7194010416666666}, {"start": 2756.59, "end": 2756.99, "word": " البديل", "probability": 0.9567057291666666}, {"start": 2756.99, "end": 2757.39, "word": " الآخر", "probability": 0.8257649739583334}, {"start": 2757.39, "end": 2757.83, "word": " منه", "probability": 0.978515625}, {"start": 2757.83, "end": 2758.91, "word": " F2", "probability": 0.911376953125}, {"start": 2758.91, "end": 2759.79, "word": " اللي", "probability": 0.5885009765625}, {"start": 2759.79, "end": 2760.03, "word": " هي", "probability": 0.92333984375}, {"start": 2760.03, "end": 2760.79, "word": " خمسة", "probability": 0.82977294921875}, {"start": 2760.79, "end": 2761.59, "word": " مين", "probability": 0.893798828125}, {"start": 2761.59, "end": 2762.09, "word": " الأكبر", "probability": 0.9563802083333334}, {"start": 2762.09, "end": 2763.27, "word": " سبعة", "probability": 0.8089192708333334}, {"start": 2763.27, "end": 2764.07, "word": " نسجل", "probability": 0.879638671875}, {"start": 2764.07, "end": 2764.51, "word": " سبعة", "probability": 0.92138671875}, {"start": 2764.51, "end": 2765.01, "word": " في", "probability": 0.9501953125}, {"start": 2765.01, "end": 2765.29, "word": " ايش", "probability": 0.7264404296875}, {"start": 2765.29, "end": 2766.17, "word": " في", "probability": 0.7890625}, {"start": 2766.17, "end": 2766.75, "word": " F3", "probability": 0.970458984375}, {"start": 2766.75, "end": 2768.35, "word": " وعلى", "probability": 0.8284505208333334}, {"start": 2768.35, "end": 2768.73, "word": " هذا", "probability": 0.88525390625}, {"start": 2768.73, "end": 2769.33, "word": " الحالة", "probability": 0.9690755208333334}, {"start": 2769.33, "end": 2769.41, "word": " في", "probability": 0.951171875}, {"start": 2769.41, "end": 2769.91, "word": " الآخر", "probability": 0.9440104166666666}, {"start": 2769.91, "end": 2770.39, "word": " في", "probability": 0.8662109375}, {"start": 2770.39, "end": 2770.91, "word": " الآخر", "probability": 0.95703125}, {"start": 2770.91, "end": 2771.61, "word": " بيصل", "probability": 0.8557942708333334}, {"start": 2771.61, "end": 2772.09, "word": " معايا", "probability": 0.8984375}, {"start": 2772.09, "end": 2772.57, "word": " انه", "probability": 0.55810546875}, {"start": 2772.57, "end": 2772.89, "word": " ايش", "probability": 0.8681640625}], "temperature": 1.0}, {"id": 105, "seek": 278789, "start": 2773.89, "end": 2787.89, "text": "F of N 17 يعني لما يكون في عندي ست قطع هم هدولة أفضل تشكيلة بقدر أخدها مجموحها 17 لكن من هم طيب للمحاضرة القادمة", "tokens": [37, 295, 426, 3282, 37495, 22653, 5296, 15042, 7251, 30544, 8978, 18871, 16254, 8608, 2655, 12174, 9566, 3615, 8032, 2304, 8032, 3215, 12610, 3660, 5551, 5172, 11242, 1211, 6055, 8592, 4117, 26895, 3660, 4724, 28543, 2288, 5551, 9778, 3215, 11296, 3714, 7435, 2304, 2407, 5016, 11296, 3282, 44381, 9154, 8032, 2304, 23032, 1829, 3555, 5296, 19528, 5016, 46958, 25720, 25062, 18513, 46007], "avg_logprob": -0.20820932113935078, "compression_ratio": 1.3426573426573427, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 2773.89, "end": 2774.25, "word": "F", "probability": 0.401123046875}, {"start": 2774.25, "end": 2774.49, "word": " of", "probability": 0.72021484375}, {"start": 2774.49, "end": 2774.91, "word": " N", "probability": 0.86572265625}, {"start": 2774.91, "end": 2775.59, "word": " 17", "probability": 0.1171875}, {"start": 2775.59, "end": 2776.29, "word": " يعني", "probability": 0.827392578125}, {"start": 2776.29, "end": 2777.01, "word": " لما", "probability": 0.774169921875}, {"start": 2777.01, "end": 2777.27, "word": " يكون", "probability": 0.931884765625}, {"start": 2777.27, "end": 2777.37, "word": " في", "probability": 0.681640625}, {"start": 2777.37, "end": 2777.61, "word": " عندي", "probability": 0.863037109375}, {"start": 2777.61, "end": 2777.91, "word": " ست", "probability": 0.6806640625}, {"start": 2777.91, "end": 2778.45, "word": " قطع", "probability": 0.90185546875}, {"start": 2778.45, "end": 2778.95, "word": " هم", "probability": 0.850341796875}, {"start": 2778.95, "end": 2780.17, "word": " هدولة", "probability": 0.8929443359375}, {"start": 2780.17, "end": 2780.93, "word": " أفضل", "probability": 0.9434814453125}, {"start": 2780.93, "end": 2781.73, "word": " تشكيلة", "probability": 0.98720703125}, {"start": 2781.73, "end": 2782.03, "word": " بقدر", "probability": 0.85986328125}, {"start": 2782.03, "end": 2782.53, "word": " أخدها", "probability": 0.8634033203125}, {"start": 2782.53, "end": 2783.61, "word": " مجموحها", "probability": 0.85107421875}, {"start": 2783.61, "end": 2784.01, "word": " 17", "probability": 0.70458984375}, {"start": 2784.01, "end": 2784.67, "word": " لكن", "probability": 0.7626953125}, {"start": 2784.67, "end": 2784.89, "word": " من", "probability": 0.6005859375}, {"start": 2784.89, "end": 2785.13, "word": " هم", "probability": 0.892822265625}, {"start": 2785.13, "end": 2786.25, "word": " طيب", "probability": 0.9581705729166666}, {"start": 2786.25, "end": 2787.75, "word": " للمحاضرة", "probability": 0.881201171875}, {"start": 2787.75, "end": 2787.89, "word": " القادمة", "probability": 0.7591959635416666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2788.5075625, "duration_after_vad": 2604.6674999999923}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..191f44e88d5632b84f3d3e785067677d4913369d
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+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/eERDI5nHzro_raw.srt
@@ -0,0 +1,2084 @@
+1
+00:00:20,810 --> 00:00:23,170
+بسم الله الرحمن الرحيم والحمد لله والصلاة والسلام
+
+2
+00:00:23,170 --> 00:00:26,190
+على أشرف المرسلين اليوم ان شاء الله بنبدأ chapter
+
+3
+00:00:26,190 --> 00:00:29,650
+جديد chapter هذا بانوان dynamic programming موضوع
+
+4
+00:00:29,650 --> 00:00:34,710
+ال dynamic programming بالاصل هو كان احد مواضيع ال
+
+5
+00:00:34,710 --> 00:00:39,870
+space and time trade-offs ولكن احنا نتناوله ب
+
+6
+00:00:39,870 --> 00:00:44,630
+chapter لحاله ونفصل ال dynamic programmingالاسم
+
+7
+00:00:44,630 --> 00:00:49,090
+كلمة programming صراحة مايلها علاقة بالبرمجة انما
+
+8
+00:00:49,090 --> 00:00:52,350
+هي programming بمعنى التخطيط يعني شيلي كلمة
+
+9
+00:00:52,350 --> 00:00:56,040
+programming وقولي dynamic planningOkay و Dynamic
+
+10
+00:00:56,040 --> 00:01:02,220
+هنا تخطيط Dynamic بمعنى إنه مرحلي يعني ال goal
+
+11
+00:01:02,220 --> 00:01:05,900
+النهائي اللي بدي أصل إليه من وراها لل planning بدي
+
+12
+00:01:05,900 --> 00:01:11,440
+أحققه على مراحل أحقق sub goal ثم sub goal مترتب
+
+13
+00:01:11,440 --> 00:01:16,940
+عليه ثم إلى أن أصل إلى ال goal النهائي ماشي فهي زي
+
+14
+00:01:16,940 --> 00:01:19,800
+ما بيقول programming here means planning و Dynamic
+
+15
+00:01:19,800 --> 00:01:26,510
+means step by step مرحليOkay خلّي ال general idea
+
+16
+00:01:26,510 --> 00:01:30,730
+للآخر بس ناخد example أو اتنين بيصير المفهوم هذا
+
+17
+00:01:30,730 --> 00:01:34,410
+واضح منه لحاله، صح؟ Okay الحين لو قاعد نشرح فيها
+
+18
+00:01:34,410 --> 00:01:38,860
+كلام نظري يمكن in twoالان في انا تلت examples اللي
+
+19
+00:01:38,860 --> 00:01:42,780
+هو ال coin raw problem و ال change making problem
+
+20
+00:01:42,780 --> 00:01:45,340
+و ال coin collecting problem التلتة اللي هم علاقة
+
+21
+00:01:45,340 --> 00:01:50,460
+بالعملة و الفلوس ال اولة اني بدأ اخد الوسطانية بدأ
+
+22
+00:01:50,460 --> 00:01:53,020
+اخد الوسطانية في الاول بعدين ارجع للتانية التانية
+
+23
+00:01:53,020 --> 00:01:58,780
+التالتة بعدين الاولة ال change making problem لو
+
+24
+00:01:58,780 --> 00:02:04,700
+انا جيت قلتلك ان انا في معايا خمسين شكلخمسين شكل
+
+25
+00:02:04,700 --> 00:02:09,080
+خمسين جنيه خمسين أي حاجة وبدى افكهم وعنا احنا
+
+26
+00:02:09,080 --> 00:02:16,240
+الوحدات العملة وفي عنا الواحد الاتنين الخمسة
+
+27
+00:02:16,240 --> 00:02:20,000
+العشرة والعشرين صح وفي طبعا بعد هيك الخمسين والمية
+
+28
+00:02:20,000 --> 00:02:27,570
+okay انا الان اللى معايا خمسينفو انت بدك تفكيلي و
+
+29
+00:02:27,570 --> 00:02:31,430
+معاكي عدد لنهائي من القطع من كل الوحدات يعني من
+
+30
+00:02:31,430 --> 00:02:35,410
+الشواكع اللي عندك من لنهائي و من غيره فالان ممكن
+
+31
+00:02:35,410 --> 00:02:41,210
+تفكيلي الخمسين .. خمسين قطعة من الواحد او خمسة و
+
+32
+00:02:41,210 --> 00:02:44,280
+عشرين قطعة من الاتنين او عشر قطعة من الخمسةأو خمس
+
+33
+00:02:44,280 --> 00:02:47,760
+قطع عامة لعشرة أو قطعتين عشرين و قطعة عشرة قطعتين
+
+34
+00:02:47,760 --> 00:02:54,780
+عشرين و قطعتين كمسات في تبديل كتيرة أنا المعنى
+
+35
+00:02:54,780 --> 00:03:00,470
+بالأقل عددايعني خمسين وحدة ده كتير خمس وعشرين إيه
+
+36
+00:03:00,470 --> 00:03:04,570
+ده كتير انت ممكن تحليليها بعشرين تان وعشرة هذا
+
+37
+00:03:04,570 --> 00:03:08,790
+ربما أقل الشيء صح فال problem هنا ان ال change
+
+38
+00:03:08,790 --> 00:03:12,930
+يعني انك تفكه صح change making يعني انك تفكيه وال
+
+39
+00:03:12,930 --> 00:03:17,210
+restriction هنا ان يكون عدد القطة أقل ما يمكن okay
+
+40
+00:03:17,210 --> 00:03:19,350
+ف
+
+41
+00:03:21,370 --> 00:03:25,570
+خلّيني أطلع على المثال هذا الـ change-making
+
+42
+00:03:25,570 --> 00:03:31,630
+problem في أن المبلغ
+
+43
+00:03:31,630 --> 00:03:37,150
+اللي معايا يساوي 6 جنيه 6 شكل و الوحدات اللي عندي
+
+44
+00:03:37,150 --> 00:03:42,990
+قطعة بواحد و قطعة بثلاثة و قطعة باربع
+
+45
+00:03:47,610 --> 00:03:50,670
+حتى نفكر فيها هي كبدون algorithm الست هذه انا ممكن
+
+46
+00:03:50,670 --> 00:03:58,690
+افكها كانت تلت احتمالات تلتة و تلتة واحد و واحد و
+
+47
+00:03:58,690 --> 00:04:03,430
+اربعة اتنين و اتنين و اتنين و اتنين و اتنين و
+
+48
+00:04:03,430 --> 00:04:03,610
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+49
+00:04:03,610 --> 00:04:05,490
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+50
+00:04:05,490 --> 00:04:15,190
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+51
+00:04:15,190 --> 00:04:15,230
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+52
+00:04:15,230 --> 00:04:15,880
+اتنين و اتنين و اتنين و اتنين و اتنين و اتخطة
+
+53
+00:04:15,880 --> 00:04:19,040
+تانية من التانية طيب انا ال dynamic programming
+
+54
+00:04:19,040 --> 00:04:24,400
+بتتعامل مع المسألة بأسلوب منظم كالتالي انه الستة
+
+55
+00:04:24,400 --> 00:04:28,700
+هذه ممكن افكر فيها عشان احل المسألة هذه اللي
+
+56
+00:04:28,700 --> 00:04:32,220
+مبلغها ستة بعدين افكر انه طيب انا عندي تلت
+
+57
+00:04:32,220 --> 00:04:38,160
+احتمالات ممكن اجي اقول عندي قطعة M الواحد زائد
+
+58
+00:04:38,160 --> 00:04:44,220
+مبلغ الباقيالخامسة قطعة M التلاتة زائد المبلغ
+
+59
+00:04:44,220 --> 00:04:49,900
+الباقي اللي هو مجدش بظل من الست قطعة M الأربعة
+
+60
+00:04:49,900 --> 00:04:53,060
+زائد المبلغ الباقي اللي هو اتنين لأن هذا المبلغ
+
+61
+00:04:53,060 --> 00:04:57,420
+الباقي برضه بحله بنفس الاسلوب الخامسة كيف انا ممكن
+
+62
+00:04:57,420 --> 00:05:03,960
+احلها الواحد والتلاتة والاربعة واحد زائد اربعة
+
+63
+00:05:05,350 --> 00:05:09,490
+تلاتة زائد اتنين مافيش صح coin اتنين بس انا هنا
+
+64
+00:05:09,490 --> 00:05:13,750
+بحكي مبلغ اتنين هذه الان كمبلغ بفكر كيف بدي افكها
+
+65
+00:05:13,750 --> 00:05:20,530
+صح؟ والخامسة هنا هذه برضه كانت مبلغ بفكر كيف ا ا ا
+
+66
+00:05:20,530 --> 00:05:21,750
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+67
+00:05:21,750 --> 00:05:21,810
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+68
+00:05:21,810 --> 00:05:24,110
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+69
+00:05:24,110 --> 00:05:24,170
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+70
+00:05:24,170 --> 00:05:25,190
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+71
+00:05:25,190 --> 00:05:27,190
+ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا ا
+
+72
+00:05:31,490 --> 00:05:35,530
+صح بقالك كمبلغ الآن لما أنا بفكه فيه قد تحتمالات
+
+73
+00:05:35,530 --> 00:05:44,430
+واحد مع مبلغ اتنين او تلاتة مع ولا شيء او الاربعة
+
+74
+00:05:44,430 --> 00:05:48,570
+بتنفعش الاربعة صح ليش لان انا اكبر من المبلغ يعني
+
+75
+00:05:48,570 --> 00:05:54,110
+انا لا يصح ان افكر في الحلول اللي تجتمل على قطعة
+
+76
+00:05:54,110 --> 00:05:57,390
+هي في حد ذاتها القطعة الواحدة اكبر من المبلغ اللي
+
+77
+00:05:57,390 --> 00:06:02,380
+انا بده احلهصح؟ يعني زي هنا انا بدي احل التلاتة مش
+
+78
+00:06:02,380 --> 00:06:07,680
+معبور اروح افكر في اجيب قطعة باربعة معاشر صح؟
+
+79
+00:06:07,680 --> 00:06:13,480
+فالحلول هي تجتمع علي قطعة اكبر اصلا هي لحالها من
+
+80
+00:06:13,480 --> 00:06:18,460
+المبلغ انا لازم استثنيه يبقى ايش الأسلوب العام لحل
+
+81
+00:06:18,460 --> 00:06:20,920
+المسألة دي بال dynamic programming انه افكر في
+
+82
+00:06:20,920 --> 00:06:27,000
+المثل الكبير ال goal النهائي على انه sub goal زائد
+
+83
+00:06:27,000 --> 00:06:33,270
+واحدsub goal زادت خيارات وانا بدي اختار ال sub
+
+84
+00:06:33,270 --> 00:06:40,370
+goal الأفضل مع الخيار الأفضل ال sub goal الأفضل مع
+
+85
+00:06:40,370 --> 00:06:43,350
+الخيار الأفضل يعني هذا sub goal الآن وهي الخيارات
+
+86
+00:06:43,350 --> 00:06:47,550
+التلاتة وهذا sub goal على sub goal الآن الخمسة إذا
+
+87
+00:06:47,550 --> 00:06:52,930
+ماجدر أحلها بأكم عدد من القطاع تلاحظ ان المسألة دي
+
+88
+00:06:52,930 --> 00:06:57,170
+البحث عن أقل عدد من القطاعإذا الخمسة بقدر أحلها
+
+89
+00:06:57,170 --> 00:07:02,390
+والله بقطعة واحدة وهدولة بحلهم بأكتر من واحد يبقى
+
+90
+00:07:02,390 --> 00:07:07,350
+هذا هو أنسب sub solution وخلاص ال solution اللي
+
+91
+00:07:07,350 --> 00:07:10,370
+نلاقي هو عبارة عن واحد زاد واحد هي في الأخر قطعة
+
+92
+00:07:10,370 --> 00:07:14,130
+واحد اللي هضيفها في كل الحالات okay قطعة واحدة
+
+93
+00:07:14,130 --> 00:07:18,710
+اللي هتنضعف في كل الحالات فانا صار ال ال ال ال هدف
+
+94
+00:07:18,710 --> 00:07:24,120
+تبعي أن أبحث عن أفضل sub solutionOkay فهذا اللي
+
+95
+00:07:24,120 --> 00:07:30,040
+بيصير انه انا فيه عندي هدولة المبالغ الستة الخمسة
+
+96
+00:07:30,040 --> 00:07:37,120
+الأربعة تلاتة اتنين افضل حل لمبلغ ستة بده ييجي من
+
+97
+00:07:37,120 --> 00:07:40,820
+افضل حل من اللي جابله فبتبتدى الحكاية بالتدريج
+
+98
+00:07:40,820 --> 00:07:45,720
+Okay انا طبعا واضح من غير ما انا احكي انه لما نكون
+
+99
+00:07:45,720 --> 00:07:52,290
+المبلغ نفسه ال N بتساوي ال N بتساوي Zeroيعني مافي
+
+100
+00:07:52,290 --> 00:07:59,010
+أصلا مبلغ فأفضل حل هو zero F of zero بساوي zero صح
+
+101
+00:07:59,010 --> 00:08:03,250
+لأن
+
+102
+00:08:03,250 --> 00:08:08,910
+F of one لما يكون المبلغ يساوي one one شكل one
+
+103
+00:08:08,910 --> 00:08:15,290
+إجنيه okayبأسلوب ال .. بأسلوب ال .. ال dynamic
+
+104
+00:08:15,290 --> 00:08:19,730
+programming بدي أجيب هدولة كلها بدي أجيب ال
+
+105
+00:08:19,730 --> 00:08:22,510
+minimum .. هدولة التلاتة .. هدولة التلاتة بدي أشوف
+
+106
+00:08:22,510 --> 00:08:29,950
+ال minimum فيهم و أضيف عليه واحد okay يعني ال
+
+107
+00:08:29,950 --> 00:08:34,410
+minimum of if
+
+108
+00:08:34,410 --> 00:08:39,670
+of خلينا
+
+109
+00:08:39,670 --> 00:08:40,710
+نعملها كجدول هنا
+
+110
+00:08:44,570 --> 00:08:52,530
+ن زيرو F of N بواحد F of N بواحد F of N بواحد F of
+
+111
+00:08:52,530 --> 00:09:01,910
+N بواحد F of
+
+112
+00:09:01,910 --> 00:09:01,910
+N بواحد F of N بواحد F of N بواحد F of N بواحد F
+
+113
+00:09:01,910 --> 00:09:02,150
+of N بواحد F of N بواحد F of N بواحد F of N بواحد
+
+114
+00:09:02,150 --> 00:09:02,190
+F of N بواحد F of N بواحد F of N بواحد F of N
+
+115
+00:09:02,190 --> 00:09:02,250
+بواحد F of N بواحد F of N بواحد F of N بواحد F of
+
+116
+00:09:02,250 --> 00:09:02,250
+N بواحد F of N بواحد F of N بواحد F of N بواحد F
+
+117
+00:09:02,250 --> 00:09:02,350
+of N بواحد F of N بواحد F of N بواحد F of N بواحد
+
+118
+00:09:02,350 --> 00:09:02,930
+F of N بواحد F of N بواحد F of N بواحد F of N
+
+119
+00:09:02,930 --> 00:09:02,950
+بواحد F of N بواحد F of N بواحد F of N بواحد F of
+
+120
+00:09:02,950 --> 00:09:09,770
+N بواحد F of N بواحد F of N ب
+
+121
+00:09:15,760 --> 00:09:21,180
+أكبر من المبلغ اللي معاه okay F of واحد ناقص واحد
+
+122
+00:09:21,180 --> 00:09:30,320
+جداش يساوي F of Zero اللي هي Zero صح خلينا هنا نحط
+
+123
+00:09:30,320 --> 00:09:40,240
+تلت أعمدة هذا ايش F of واحد ناقص او خلينا نقول N
+
+124
+00:09:40,240 --> 00:09:43,740
+ناقص DJ
+
+125
+00:09:45,810 --> 00:09:50,770
+هي عبارة عن قيمة الوحدة الأولى عندي تلت وحدة أنا
+
+126
+00:09:50,770 --> 00:09:59,030
+هذا هيك تخيلي أنه عبارة عن array اسمها D وهذا جي
+
+127
+00:09:59,030 --> 00:10:06,710
+واحد جي اتنين جي تلت okay واحد
+
+128
+00:10:06,710 --> 00:10:15,440
+فما في عندي F of واحد ناقص الوحدة الأولى بعدينF of
+
+129
+00:10:15,440 --> 00:10:20,100
+واحد نقص واحدة التانية F of واحد نقص واحدة التالتة
+
+130
+00:10:20,100 --> 00:10:23,280
+فبنشطب
+
+131
+00:10:23,280 --> 00:10:36,860
+عليهم F
+
+132
+00:10:36,860 --> 00:10:40,020
+of واحد نقص واحدة التانية F of واحد نقص واحدة
+
+133
+00:10:40,020 --> 00:10:40,920
+التالتة F of واحد نقص واحدة التالتة F of واحد نقص
+
+134
+00:10:40,920 --> 00:10:40,920
+واحدة التالتة F of واحد نقص واحدة التالتة F of
+
+135
+00:10:40,920 --> 00:10:40,920
+واحد نقص واحدة التالتة F of واحد نقص واحدة التالتة
+
+136
+00:10:40,920 --> 00:10:40,920
+F of واحد نقص واحدة التالتة F of واحد نقص واحدة
+
+137
+00:10:40,920 --> 00:10:41,440
+التالتة F of واحد نقص واحدة التالتة F of واحد نقص
+
+138
+00:10:41,440 --> 00:10:42,540
+واحدة التالتة F of واحد نقص واحدة التالتة F of
+
+139
+00:10:42,540 --> 00:10:45,770
+واحد نقص واحدة التالتة F of واحد نقص واOkay الان
+
+140
+00:10:45,770 --> 00:10:50,170
+هدولة مش موجودين بدي اختار ال minimum الان ما بين
+
+141
+00:10:50,170 --> 00:10:53,930
+التلاتة هدولة صح مفترض انا اختار ال minimum ما بين
+
+142
+00:10:53,930 --> 00:10:57,390
+التلاتة هدولة و اضيفها ليه واحد اضيفها ليه واحد
+
+143
+00:10:57,390 --> 00:11:00,310
+ايش ال واحدة ده اللي هو ال coin الأخرى اللي بدي
+
+144
+00:11:00,310 --> 00:11:05,730
+اضيفها Zero زاد واحد مافيش اصلا غير ال zero عاملة
+
+145
+00:11:05,730 --> 00:11:09,650
+نفس الكلام للمبلغ two لما يكون ادي مبلغ two two
+
+146
+00:11:09,650 --> 00:11:15,250
+ناقص واحد اتنين ناقص واحدبواحد ايش ال F of واحد
+
+147
+00:11:15,250 --> 00:11:23,310
+تساوي واحد اتنين ناقص تلاتة بقدر استخدمها بقدرش
+
+148
+00:11:23,310 --> 00:11:30,850
+استخدمها الان بضيف بضيف واحد على ال minimum لان
+
+149
+00:11:30,850 --> 00:11:33,530
+الحكاية ال minimum هتبدأ تبين معانا هنا و بعد هي
+
+150
+00:11:33,530 --> 00:11:40,650
+تلاتة وهي اربعة خمسة وهي ستة اخر اشي تلاتة تلاتة
+
+151
+00:11:40,650 --> 00:11:47,440
+ناقص واحد اتنين ايش F of اتنينأتنين تلاتة ناقص
+
+152
+00:11:47,440 --> 00:11:53,740
+تلاتة ناقص تلاتة صفر ايش F of Zero؟ Zero تلاتة
+
+153
+00:11:53,740 --> 00:11:56,520
+ناقص أربعة مابقدرش استخدمها الان مين ال minimum
+
+154
+00:11:56,520 --> 00:12:01,720
+بين هذولة؟ ال Zero مابضيف عليه واحد صح؟ الان
+
+155
+00:12:01,720 --> 00:12:06,420
+الأربعة أربعة ناقص واحد تلاتة ال F of تلاتة واحد
+
+156
+00:12:06,420 --> 00:12:13,340
+أربعة ناقص تلاتة واحد F of واحد واحد أربعة ناقص
+
+157
+00:12:13,340 --> 00:12:14,420
+أربعة باليوم استخدمها
+
+158
+00:12:21,260 --> 00:12:26,480
+أربعة أربعة نقص واحد تلاتة F of تلاتة واحد الان
+
+159
+00:12:26,480 --> 00:12:31,540
+على هذه اربعة نقص ايش اربعة صفر F of Zero Zero مين
+
+160
+00:12:31,540 --> 00:12:38,340
+اصغر واحد بضيف عليه واحد انا الان قاعد بقى اسجل ال
+
+161
+00:12:38,340 --> 00:12:43,770
+solutions ال sub solutions كلهاو لغاية ما اصل ال
+
+162
+00:12:43,770 --> 00:12:48,350
+solution نهائي تبعي يعني here is solution لمين ل
+
+163
+00:12:48,350 --> 00:12:52,910
+F4 يعني لو انا معايا مبلغ اربع و بدي اكتفكي ليه
+
+164
+00:12:52,910 --> 00:12:58,850
+اكم قطعة تحتاجي واحدة فقط اللي هي واحدة الأربع لو
+
+165
+00:12:58,850 --> 00:13:02,810
+معايا مبلغ اتنين اتنين شكل او اتنين جنيه و بدي
+
+166
+00:13:02,810 --> 00:13:07,610
+اكتفكي ليهم اكم قطعة محتاجي قطعتين ام الواحد صح
+
+167
+00:13:07,610 --> 00:13:09,670
+الخمسة
+
+168
+00:13:12,910 --> 00:13:27,350
+F5-1 أربعة أربعة
+
+169
+00:13:27,350 --> 00:13:27,910
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+170
+00:13:27,910 --> 00:13:27,910
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+171
+00:13:27,910 --> 00:13:27,910
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+172
+00:13:27,910 --> 00:13:28,150
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+173
+00:13:28,150 --> 00:13:28,870
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+174
+00:13:28,870 --> 00:13:28,870
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+175
+00:13:28,870 --> 00:13:28,870
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+176
+00:13:28,870 --> 00:13:28,870
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+177
+00:13:28,870 --> 00:13:37,750
+أربعة أربعة أربعة أربعة أربعة أربعة أربعة
+
+178
+00:13:37,750 --> 00:13:45,740
+أصح؟ ثلاث مع ثلاث اتنين و أربعة مع واحد هدولة الآن
+
+179
+00:13:45,740 --> 00:13:51,300
+عندي حلولهم أنا الخامسة الحال تبعها الصين الشمس
+
+180
+00:13:51,300 --> 00:13:54,840
+sorry هذه أربعة لأن احنا .. الأربعة الحال تبعها
+
+181
+00:13:54,840 --> 00:13:58,300
+already recorded one التنين الحال تبعها already
+
+182
+00:13:58,300 --> 00:14:02,820
+recorded اتنين والواحد الحال تبعها واحد فانا خلاص
+
+183
+00:14:02,820 --> 00:14:06,660
+على طول باخد ال minimumما بينهما دولة لأن فياني
+
+184
+00:14:06,660 --> 00:14:10,040
+two minimum خلّيني أسجلهم هنا صح اللي هم التنين
+
+185
+00:14:10,040 --> 00:14:17,080
+والواحد صح الخمسة مرة أخرى الخمسة خمسة ناقص واحد
+
+186
+00:14:17,080 --> 00:14:21,160
+اربعة الحال تبعها واحد خمسة ناقص تلاتة اتنين الحال
+
+187
+00:14:21,160 --> 00:14:25,560
+تبعها اتنين خمسة ناقص اربعة واحد الحال تبعها واحد
+
+188
+00:14:25,560 --> 00:14:28,900
+okay الان مين اخد انا ال minimum اي minimum واحد
+
+189
+00:14:28,900 --> 00:14:35,430
+الواحد بضيف عليها واحد بيصير اتنينالـ6 ستة ناقص
+
+190
+00:14:35,430 --> 00:14:39,390
+واحد خمسة الحال تبعها اتنين الـ6 ناقص تلاتة تلاتة
+
+191
+00:14:39,390 --> 00:14:43,730
+الحال تبعها واحد الـ6 ناقص اربع اتنين الحال تبعها
+
+192
+00:14:43,730 --> 00:14:46,470
+اتنين الـminimum واحد بضيف عليه واحد plus اتنين
+
+193
+00:14:46,470 --> 00:14:51,170
+انا عرفت عدد القطع اللي لازماني بس ماعرفتش مين هي
+
+194
+00:14:51,170 --> 00:14:57,250
+حنجيبه الآن بس المهم ان هذا اعطاني f of n هو عدد
+
+195
+00:14:57,250 --> 00:15:02,630
+القطع اللازمة ان انا افك مبلغ 6بس على بالك لو بدك
+
+196
+00:15:02,630 --> 00:15:08,050
+تكملي للاخر الان كيف اتدهر في القطع التنتين القطع
+
+197
+00:15:08,050 --> 00:15:11,570
+التين التنتين الاتنين هذه اجت من وين اجت من هذا ال
+
+198
+00:15:11,570 --> 00:15:18,930
+minimum هذا ال minimum في اي عمود عمود التلاتة ا
+
+199
+00:15:18,930 --> 00:15:25,270
+دي هذا دي جعادة نسميه DG يعني دي جي واحد، دي جي
+
+200
+00:15:25,270 --> 00:15:29,810
+اتنين، دي جي تلاتة، تمام؟ فهذا العمود تبع الواحد،
+
+201
+00:15:29,810 --> 00:15:31,510
+هذا العمود تبع التلاتة، هذا العمود تبع الأربعة،
+
+202
+00:15:31,510 --> 00:15:37,450
+okay؟ يبقى أول قطعة من التنين هي التلاتة طيب، هذا
+
+203
+00:15:37,450 --> 00:15:46,570
+الواحد كيف أجى أصلا؟ أجى أبعد عن ستة
+
+204
+00:15:46,570 --> 00:15:54,030
+ناقص تلاتة، ستة ناقص تلاتة، okay؟ستة ناقص ثلاثة
+
+205
+00:15:54,030 --> 00:15:56,770
+يبقى ال coin التاني كانت ثلاثة طب ال coin الأولى
+
+206
+00:15:56,770 --> 00:16:04,550
+ايش كانت كانت .. كانت .. كانت برضه الثلاثة صح؟ مش
+
+207
+00:16:04,550 --> 00:16:09,850
+احنا هنا ايش قلنا هذا ست .. هذا ستة ناقص واحد ستة
+
+208
+00:16:09,850 --> 00:16:15,830
+ناقص ثلاثة ستة ناقص أربعة okay فهذا الواحد هو
+
+209
+00:16:15,830 --> 00:16:19,370
+عبارة عن solution تبع ستة ناقص ثلاثة يعني solution
+
+210
+00:16:19,370 --> 00:16:25,250
+تبع التلاتة okayالـ solution تبع التلاتة هي الواحد
+
+211
+00:16:25,250 --> 00:16:33,890
+من أين أتي من ال minimum؟ الـ zero صح؟ وقف أي عمود
+
+212
+00:16:33,890 --> 00:16:36,830
+برضه في عمود التلاتة يبقى القطعة التانية تلاتة
+
+213
+00:16:36,830 --> 00:16:44,250
+أقولك كيف ال .. ال .. الاتنين هذه أتيت minimum ما
+
+214
+00:16:44,250 --> 00:16:50,450
+بين مين؟أجت منهم لهذه هي عبارة عن هذه زي يعني واحد
+
+215
+00:16:50,450 --> 00:16:56,650
+زي هذا okay هذا جاي من وين جاي من التلاتة يعني أنا
+
+216
+00:16:56,650 --> 00:17:06,950
+قلت كأني قلت الستة هي عبارة عن التلاتة مضعفة إلى F
+
+217
+00:17:06,950 --> 00:17:14,670
+of الباقي هذه هذه okay
+
+218
+00:17:15,680 --> 00:17:22,560
+هي تلاتة مضافة إلى الـ F تبقى الباقي الـ F الباقي
+
+219
+00:17:22,560 --> 00:17:29,280
+قداش تلاتة تلاتة نقص ستة تلاتة الان قداش ال F
+
+220
+00:17:29,280 --> 00:17:36,800
+تلاتة واحد الواحدة من أين أجت أجت من من التلاتة
+
+221
+00:17:36,800 --> 00:17:40,300
+okay فأنا أصبح عندي قطعتين هما تلاتة و تلاتة خلينا
+
+222
+00:17:40,300 --> 00:17:45,930
+نفكر في هذه التانية من أين أجتبلاش .. التنين هذا
+
+223
+00:17:45,930 --> 00:17:50,710
+.. نعم من وين أتى؟ أتى من .. من إما هذه أو هذه ..
+
+224
+00:17:50,710 --> 00:17:53,790
+سيان .. لو أنا أخدت هذه أو هذه نفس الشيء .. طب ده
+
+225
+00:17:53,790 --> 00:17:56,290
+أخد هذه .. هذه في عمودي .. أيش الأربعة؟ يبقى
+
+226
+00:17:56,290 --> 00:17:59,150
+قطعتين هذوله واحد منهم الأربعة .. أيش القطعة
+
+227
+00:17:59,150 --> 00:18:03,810
+التانية؟ هذا من وين أتى؟ هذا .. لو أنا .. لو ..
+
+228
+00:18:03,810 --> 00:18:06,690
+عمودي الأربعة .. يعني خمس ناقص أربعة واحد .. يبقى
+
+229
+00:18:06,690 --> 00:18:12,040
+ضرورا على الواحد .. الواحد ..الـ solution هذا من
+
+230
+00:18:12,040 --> 00:18:16,340
+هنا أجه من هذا الـ minimum لهذا الـ minimum في أي
+
+231
+00:18:16,340 --> 00:18:22,620
+عمود، عمود الواحد فهي الأربعة والواحد هذا
+
+232
+00:18:22,620 --> 00:18:27,720
+عبارة عن solution بروح بالـ tab الاتنين هذا عبارة
+
+233
+00:18:27,720 --> 00:18:33,080
+عن إضافة قطعة زي ال solution هذا القطعة هي العمود
+
+234
+00:18:33,080 --> 00:18:38,120
+ال solution هذا بروح أشوف هو solution تبع مين بشيل
+
+235
+00:18:38,120 --> 00:18:44,440
+القطعة من ال totalالقطعة دي التلاتة تشيلناها من ال
+
+236
+00:18:44,440 --> 00:18:50,160
+total الستة ضال تلاتة ال F of تلاتة هيته أجا من
+
+237
+00:18:50,160 --> 00:18:55,280
+وين؟ من هذا ال minimum هذا ال minimum تابع ل ال
+
+238
+00:18:55,280 --> 00:19:00,600
+coin هذه اللي
+
+239
+00:19:00,600 --> 00:19:07,560
+عامله هو هنا أنا في الجدول حاطط التلاتةSolutions
+
+240
+00:19:07,560 --> 00:19:12,560
+هو بس ذاكر ال solution اللي له استخدام يعني
+
+241
+00:19:12,560 --> 00:19:20,480
+الاكسات مش مدخلهم هاي F of two اتنين ناقص واحد F
+
+242
+00:19:20,480 --> 00:19:26,300
+of تلاتة احاطط هذا وهذا تلاتة ناقص واحد و تلاتة
+
+243
+00:19:26,300 --> 00:19:33,040
+ناقص تلاتة ليه F of اتنين و F of Zero مظبوط؟ F of
+
+244
+00:19:33,040 --> 00:19:33,900
+اتنين و F of Zero
+
+245
+00:19:40,400 --> 00:19:47,520
+هنا في أربعة F of أربعة ناقص واحد و أربعة ناقص
+
+246
+00:19:47,520 --> 00:19:53,800
+تلاتة و أربعة ناقص أربعة اللي هم ال zero و ال واحد
+
+247
+00:19:53,800 --> 00:20:01,420
+و التلاتة صح okay ف ال zero هذا اللي مسجل هنا
+
+248
+00:20:01,420 --> 00:20:05,740
+solutions تبعتهم هدول ال N هدول مبالغ اللي مسجل هن
+
+249
+00:20:05,740 --> 00:20:10,700
+دي في الجدول هذا اللي هو solutions تبعتهمطيب ننطلع
+
+250
+00:20:10,700 --> 00:20:13,480
+على المثال التاني اللي بعده اول اشي جابه للمثال
+
+251
+00:20:13,480 --> 00:20:18,360
+التاني شو ال complexity تبع ال algorithm هنا احنا
+
+252
+00:20:18,360 --> 00:20:23,120
+ال algorithm بدها تشكل
+
+253
+00:20:24,520 --> 00:20:28,260
+أنا عندي two arrays array اللي هي المبالغ و array
+
+254
+00:20:28,260 --> 00:20:33,400
+ال F ال algorithm بساطة بدأ تعبي القيام هذه صح
+
+255
+00:20:33,400 --> 00:20:37,040
+يبدأ تلف عند كل واحدة و تعمل الحسبة تباتها و
+
+256
+00:20:37,040 --> 00:20:41,460
+تعبيها الحسبة هتبقى عبارة عن عمليات جمع و ناخد ال
+
+257
+00:20:41,460 --> 00:20:47,880
+minimum و نضيف one بعد ما ناخد ال minimum بعد ما
+
+258
+00:20:47,880 --> 00:20:54,080
+ناخد ال minimum بنضيف واحد okayالقيم اللي داخل الـ
+
+259
+00:20:54,080 --> 00:20:59,120
+minimum بتأتي من الجدول نفسه من الخلايا اللي قبل
+
+260
+00:20:59,120 --> 00:21:03,380
+ففي الآخر كل هذه العمليات عملية جامعة عملية مقارنة
+
+261
+00:21:03,380 --> 00:21:07,440
+كل هذه basic operations السؤال هو أكم مرة بتتكرر
+
+262
+00:21:07,440 --> 00:21:13,200
+هذه ال basic operations؟ بتتكرر عدد N من المرات
+
+263
+00:21:13,200 --> 00:21:16,780
+لأن أنا بدي أعبي عدد N من الخلايا
+
+264
+00:21:28,960 --> 00:21:34,320
+المسألة بتعتمد مش بس على ان اللي هو المبلغ ايضا
+
+265
+00:21:34,320 --> 00:21:37,760
+بتعتمد على عدد القطع ان لما يكون في اندي بس ثلاث
+
+266
+00:21:37,760 --> 00:21:42,380
+قطع غير لما يكون اندي قطعتين او اربعمظبوط؟ لأنه
+
+267
+00:21:42,380 --> 00:21:48,920
+انا هذا الجدول عدد عامدته يساوي عدد القطع لو كاندي
+
+268
+00:21:48,920 --> 00:21:52,900
+اربع قطع بدي اعمل عمود رابع فانا هذا الحسب بتعتمد
+
+269
+00:21:52,900 --> 00:21:58,100
+على N N اللي هو عدد المبالف اللي هو تدرج المبالف
+
+270
+00:21:58,100 --> 00:22:02,420
+ضرب M اللي هو عدد القطع فال complexity ده من ناحية
+
+271
+00:22:02,420 --> 00:22:02,800
+ال time
+
+272
+00:22:09,650 --> 00:22:14,170
+هذا الـ time الـ space زي ما تشايف ال space أنا
+
+273
+00:22:14,170 --> 00:22:18,110
+بدي two arrays ال ray بطول N و ال ray تاني لل F
+
+274
+00:22:18,110 --> 00:22:33,610
+برضه بطول N مظبوط؟ يبقى ال space complexity N big
+
+275
+00:22:33,610 --> 00:22:38,450
+O ولا big Omega ولا big إيش ال space؟ هل في عندي؟
+
+276
+00:22:40,660 --> 00:22:46,680
+الـ space دايمًا big، دايمًا of n، دايمًا، صح؟
+
+277
+00:22:46,680 --> 00:22:51,760
+يعني ما في حالات .. في بعض الحالات هحتاج أقل و بعض
+
+278
+00:22:51,760 --> 00:22:55,180
+الحالات هحتاج أكتر هنا في ال time بعض الحالات
+
+279
+00:22:55,180 --> 00:22:58,900
+هحتاج أقل يعني بعض الحالات مش هحسبها و بعض الحالات
+
+280
+00:22:58,900 --> 00:23:05,280
+هحسبها، صح؟ ففي عندي minimum و maximumمظبوط؟ بس في
+
+281
+00:23:05,280 --> 00:23:10,640
+ال space أنا دايما لازم أفرد ال ray بطول n ف big
+
+282
+00:23:10,640 --> 00:23:18,480
+theta صح؟ مظبوط؟
+
+283
+00:23:18,480 --> 00:23:26,720
+طيب نطلع على المثال التاني اللي هو رقم 3 هاي
+
+284
+00:23:26,720 --> 00:23:27,920
+ال algorithm على فكرة
+
+285
+00:23:35,160 --> 00:23:40,700
+ممكن تتبعوها بس هي يعني بسيطة مش انه ال loop
+
+286
+00:23:40,700 --> 00:23:45,940
+الداخلية هذه J بدنا نلف على كل الأملات اولا بدنا
+
+287
+00:23:45,940 --> 00:23:50,580
+نلف على كل المبالغ من 1 ل N بدنا نلف على كل
+
+288
+00:23:50,580 --> 00:23:57,180
+الأملات احسب ال minimum ال while هذه J1 J2 J3 بدنا
+
+289
+00:23:57,180 --> 00:24:02,460
+نحسبهم كلهم و اخد ال minimum D of J هذا معناته
+
+290
+00:24:02,460 --> 00:24:09,020
+ايش؟الوحدة جي واحد واحدتها واحد جي اتنين واحدتها
+
+291
+00:24:09,020 --> 00:24:13,060
+ثلاثة جي اتنين واحدتها اربع تمام ال temp هذا عشان
+
+292
+00:24:13,060 --> 00:24:16,740
+يخزن ال minimum لما نشوف اقل منه بيبدل و بعدين
+
+293
+00:24:16,740 --> 00:24:23,600
+بيزوّج جي لحد يت ما جي طالب ان جي اقل من M و I لحد
+
+294
+00:24:23,600 --> 00:24:28,160
+يت ما يصل لواحدة من الوحدات هي في حد ذاتها اكبر من
+
+295
+00:24:28,160 --> 00:24:32,820
+المبلغ لازم اقم .. لا بقدرش استخدمالاربعة اذا كانت
+
+296
+00:24:32,820 --> 00:24:38,560
+اكثر من المبلغ اللي معاه فهذه I اكبر من او اقل او
+
+297
+00:24:38,560 --> 00:24:44,120
+اكبر من او تساوي اذا الطولة معاه D of J اكبر من I
+
+298
+00:24:44,120 --> 00:24:52,840
+بيوقف فهو في كل loop من ال four بيعبي F of I
+
+299
+00:24:55,800 --> 00:24:59,200
+في الآخر return in لأن هذا ال algorithm لا يتحلل
+
+300
+00:24:59,200 --> 00:25:04,040
+كل القضية بس بيطلقلي عدد ال coins ال minimum بس
+
+301
+00:25:04,040 --> 00:25:08,300
+عشان اجيب مين هم ال coins بدعمل backtracking
+
+302
+00:25:08,300 --> 00:25:14,360
+بالطريقة اللي توي شفناها خلصنا
+
+303
+00:25:14,360 --> 00:25:18,140
+من ال algorithm طيب نشوف ال example اللي بعده
+
+304
+00:25:18,140 --> 00:25:24,180
+example اللي بعده coin collectingعلى فرض ان انا في
+
+305
+00:25:24,180 --> 00:25:29,300
+عندي لوحة زي هيكة وفي عندي تخيلي روبوت الروبوت بدي
+
+306
+00:25:29,300 --> 00:25:34,820
+لف يجمع هدولة برضه coins قطع ومالهم مش يعني وحدات
+
+307
+00:25:34,820 --> 00:25:40,080
+كلهم نفس القيم قطع او حجار او كده والروبوت بدي
+
+308
+00:25:40,080 --> 00:25:46,420
+يبدأ من واحد واحد وبينتهي على المربع الأخير اللوحة
+
+309
+00:25:46,420 --> 00:25:54,410
+مش مربعة يعني هنا ستة في خمسةم في ن المهم حركة
+
+310
+00:25:54,410 --> 00:25:59,810
+الروبوت هي اما افقي لقدام او عمودي لتحت فقط لا
+
+311
+00:25:59,810 --> 00:26:06,210
+بيطلع ولا بيرجع فهو بيبدأ من هنا بيتحرك اما هيك او
+
+312
+00:26:06,210 --> 00:26:13,610
+هيك الهدف ان يجمع اكبر عدد من القطعة تخيل مثلا لو
+
+313
+00:26:13,610 --> 00:26:18,870
+قاعد ماشية راح هيكو بعدين ياما يكمل هكذا و ينزل
+
+314
+00:26:18,870 --> 00:26:22,410
+على هدوله او ينزل و ياخد هدى ماهي جمعهاش الا قطع
+
+315
+00:26:22,410 --> 00:26:26,510
+تانه قطعة غلط هكذا طبعا يعني مابنصبطش انسى بشيء ان
+
+316
+00:26:26,510 --> 00:26:31,910
+يمشي هكذا يصل هدى و بعدين يجيب هدى و بعدين يجيب
+
+317
+00:26:31,910 --> 00:26:35,450
+هدى و بعدين هكذا صح؟ حياته اللي هو ال solution
+
+318
+00:26:35,450 --> 00:26:42,590
+هداك مصبوط؟ هيجمع واحد اتنين تلاتة اربعة خمسة صح؟
+
+319
+00:26:44,320 --> 00:26:48,580
+هل يوجد افضل من ذلك؟ لا أظن ذلك بالتأكيد لا يوجد
+
+320
+00:26:48,580 --> 00:26:53,580
+افضل من ذلك لأنه هذا هو الحلال تمام الان الـ
+
+321
+00:26:53,580 --> 00:26:56,720
+Dynamic Algorithm solution لهذا المسألة انه احنا
+
+322
+00:26:56,720 --> 00:27:02,180
+نيجي نقول okay انا الآن لما نيجرف هو هنا okay اما
+
+323
+00:27:02,180 --> 00:27:06,600
+هكون جاي من هنا او هكون جاي من هنا مظبوط؟ لأن
+
+324
+00:27:06,600 --> 00:27:10,160
+حركته يقدم او ينزل طيب
+
+325
+00:27:12,080 --> 00:27:17,160
+الخلية هذه مافيش فيها coins عدد اللي حيكون جمعه
+
+326
+00:27:17,160 --> 00:27:23,060
+لما نوصل هنا يساوي عدد اللي حيكون جمعه لما أجى من
+
+327
+00:27:23,060 --> 00:27:28,780
+هنا زائد صفر صفر الخلية نفسها صفر مافيش فيها إش أو
+
+328
+00:27:28,780 --> 00:27:37,520
+عدد اللي حيكون جمعه لو أجى من هنا طيب لو هو أجى من
+
+329
+00:27:37,520 --> 00:27:43,160
+هنا كده عدد اللي ..هيكون جمعه يساوي عدد اللي جمعه
+
+330
+00:27:43,160 --> 00:27:47,840
+لو أجى من هنا زائد او عدد اللي جمعه لو أجى من هنا
+
+331
+00:27:47,840 --> 00:27:54,340
+زائد واحد الخلية فيها واحد يعني في الآخر في عندي
+
+332
+00:27:54,340 --> 00:28:06,040
+الخلية نفسها Cij IJ الخلية
+
+333
+00:28:06,040 --> 00:28:29,420
+نفسها ممكن تكون واحد او صفرزائد الـ I نقص
+
+334
+00:28:29,420 --> 00:28:30,680
+واحد و جاء
+
+335
+00:28:40,810 --> 00:28:49,350
+لأ ليش نقول best نقول total الخلية
+
+336
+00:28:49,350 --> 00:28:55,230
+هي دي اللي جابل ماحظين
+
+337
+00:28:55,230 --> 00:28:58,970
+إيش أنا سويت هنا I نقص واحد يعني السطر اللي فوق
+
+338
+00:28:58,970 --> 00:29:05,070
+نفس العمود هنا نفس السطر العمود اللي جابل فاحنا
+
+339
+00:29:14,930 --> 00:29:21,510
+سرتيجية الـ Algorithm انها تختار مين من هدولة اكتر
+
+340
+00:29:21,510 --> 00:29:26,390
+فائل
+
+341
+00:29:36,090 --> 00:29:40,110
+الـ total عند أي خلية بيساوي أيش فيه في الخلية
+
+342
+00:29:40,110 --> 00:29:45,370
+نفسها فيها كون ولا لأ زائد مين أفضل في الخيارين من
+
+343
+00:29:45,370 --> 00:29:50,270
+الخيارين ال total تبع اللي فوق ولا ال total تبع
+
+344
+00:29:50,270 --> 00:29:57,630
+اللي هو اللي قبل هذا
+
+345
+00:29:57,630 --> 00:30:04,770
+الجدول بيسجل اللي هو الخيارات كلهاأنا الآن عندي
+
+346
+00:30:04,770 --> 00:30:10,550
+الخلية هذه واحد واحد مافيش قابلها مافيش فوقها ولا
+
+347
+00:30:10,550 --> 00:30:13,890
+مافيه قابلها وهي نفسها فاضية في اللعبة هي نفسها
+
+348
+00:30:13,890 --> 00:30:19,650
+فاضية ماشي فسواء جيت مافيش أصل مجال أن أجي من فوق
+
+349
+00:30:19,650 --> 00:30:23,190
+وهي نفسها فاضية zero وهذه زيها وهذه زيها وهذه زيها
+
+350
+00:30:23,190 --> 00:30:24,770
+هذه رقم خمسة
+
+351
+00:30:27,440 --> 00:30:30,640
+هذا رقم خمسة ليس هناك مجال نقاش من فوق لكن هناك
+
+352
+00:30:30,640 --> 00:30:34,520
+مجال نقاش من الجانب وهذه كذلك هدولة كلهم يعني من
+
+353
+00:30:34,520 --> 00:30:39,360
+أند اتنين لهيك هناك مجال نقاش من الشمال لكن لا
+
+354
+00:30:39,360 --> 00:30:46,120
+يوجد هناك مجال نقاش من فوق فهذا الخلية الأن أكبر
+
+355
+00:30:46,120 --> 00:30:52,640
+قيمة ممكن يحصل عليها الروبوت لما يصلها هي ايش؟
+
+356
+00:30:52,640 --> 00:30:57,780
+Zero من قبلها زائد ال coin اللي فيها فواحدهذه
+
+357
+00:30:57,780 --> 00:31:01,480
+الخلية هي نفس الـ Zero لو أتي عليها الروبوت سيكون
+
+358
+00:31:01,480 --> 00:31:04,900
+حامل معاه واحد من هنا وطبعا لن يستطيع أن يأتي من
+
+359
+00:31:04,900 --> 00:31:10,500
+هنا فأحنا نقاش الأرقام هذه هي أفضل قيمة ممكن يكون
+
+360
+00:31:10,500 --> 00:31:15,360
+حاصرة عليها الروبوت لما نصل لهذه المربعة هنا برضه
+
+361
+00:31:15,360 --> 00:31:20,420
+كلهم Zero صح؟ لماذا؟ لأنه لن يستطيع أن يأتي من
+
+362
+00:31:20,420 --> 00:31:25,380
+الشمال ويمكن أن يأتي من فوق فوق Zeroهذه فوق Zero
+
+363
+00:31:25,380 --> 00:31:30,740
+وهي فاضية فزيرو وهذه فوق Zero وهي فاضية زيرو لأن
+
+364
+00:31:30,740 --> 00:31:37,280
+هنا كله سيبقى جاي فاضي وهي فيها واحد فهياخد هذا
+
+365
+00:31:37,280 --> 00:31:42,000
+الواحد طبعا الان خد عندك هذا الخلية الخلية اللي
+
+366
+00:31:42,000 --> 00:31:45,960
+فيها Coin لو أجى من فوق أو أجى من الشمال سيبقى
+
+367
+00:31:45,960 --> 00:31:54,170
+فاضي لأن هو Zero اضافة إلى هي صار واحد مظبوط؟هذه
+
+368
+00:31:54,170 --> 00:32:02,310
+الخلية 01 وهي 01 طبعا
+
+369
+00:32:02,310 --> 00:32:08,190
+على هذه الخلية هذه الخلية هي تقابل هنا صح؟ هي
+
+370
+00:32:08,190 --> 00:32:11,790
+نفسها فاضية ممكن يجي من فوق ممكن يجي من الشمال إذا
+
+371
+00:32:11,790 --> 00:32:15,070
+أجي من فوق جاي معاه تلاتة إذا أجي من الشمال جاي
+
+372
+00:32:15,070 --> 00:32:19,430
+معاه اتنين مين الأفضل؟ التلاتة فبنسجل التلاتة هذه
+
+373
+00:32:19,430 --> 00:32:26,390
+الخلية اللي هي تقابل هناممكن يأتي من فوق أو من
+
+374
+00:32:26,390 --> 00:32:31,310
+الشمال إذا
+
+375
+00:32:31,310 --> 00:32:33,790
+أجى من الشمال معاه تلاتة و هي فيها واحد هي أربعة
+
+376
+00:32:33,790 --> 00:32:37,490
+إذا أجى من فوق معاه أربعة و هي فيها واحد هي خمسة
+
+377
+00:32:37,490 --> 00:32:38,770
+الخمسة الأكتر
+
+378
+00:32:45,330 --> 00:32:50,470
+أنا عملياً كل المطلوب في الحالة هذه في المسألة هذه
+
+379
+00:32:50,470 --> 00:32:54,990
+ان احنا نعبيت جدول و نعبيت جدول هذا على أساس انه
+
+380
+00:32:54,990 --> 00:33:01,390
+كل خلية قيمة اللي بتتخزن فيها هي عبارة عن قيمتها
+
+381
+00:33:01,390 --> 00:33:10,850
+نفسها zero او one زائد الأفضل من الاتجاهين زائد
+
+382
+00:33:10,850 --> 00:33:15,620
+الأفضل من الاتجاهين اللي فوق او اللي جابلخلاص وصلت
+
+383
+00:33:15,620 --> 00:33:20,020
+انا الان ان هذه القالية الأخيرة اللي حاجة فيها ال
+
+384
+00:33:20,020 --> 00:33:22,700
+robot عندها ال robot تحتوي على خمسة الان الخمسة
+
+385
+00:33:22,700 --> 00:33:30,460
+هذه من اي مسار بدها تيجي بدنا نشوف الخمسة هذه مين
+
+386
+00:33:30,460 --> 00:33:34,460
+من الخيارين اللي اصلا ودوا اليها اكبر فبالحجم
+
+387
+00:33:34,460 --> 00:33:47,720
+بالحجم صح هنا الاربع هنا التلاتة هناتلاتة هنا تنين
+
+388
+00:33:47,720 --> 00:33:55,940
+هنا الواحد هنا الواحد هنا تنين سيان ياما ممكن اروح
+
+389
+00:33:55,940 --> 00:34:01,040
+هيك او بروح هيك اذا روحت هيك مين هادي مين مافيش في
+
+390
+00:34:01,040 --> 00:34:05,060
+وجهها و ماليش اللي هنا هادي لأ لو روحت هنا مافيش
+
+391
+00:34:05,060 --> 00:34:08,000
+الشمال و مافيش اللي هنا يبقى يبقى لان بيبدأ
+
+392
+00:34:08,000 --> 00:34:11,700
+الروبوت من هنا معاه خيار اما يروح هيك او يروح هيك
+
+393
+00:34:11,700 --> 00:34:18,170
+سيان بعد ما يروح هيك لازم يمشيو إذا راح حاجة برضه
+
+394
+00:34:18,170 --> 00:34:23,650
+لازم يمشيه و هذا هو المصار الخط المنجط هذا إشارة
+
+395
+00:34:23,650 --> 00:34:31,050
+إلى أنه بديل عن ال alternative في
+
+396
+00:34:31,050 --> 00:34:36,990
+كل مسائل ال dynamic programming النمط
+
+397
+00:34:36,990 --> 00:34:43,610
+واحد بجيب solution و بعدين بعمل backtracking عشان
+
+398
+00:34:43,610 --> 00:34:49,320
+أطلع التسلسلأو الـ combination أو الـ permutation
+
+399
+00:34:49,320 --> 00:34:53,440
+بس أهم إشي في ال dynamic programming هو أني أنا
+
+400
+00:34:53,440 --> 00:34:58,840
+أصيغ ال relation هذه اللي هي ال recurrence تبع ال
+
+401
+00:34:58,840 --> 00:35:02,900
+algorithm أنه .. أنه ال solution إنها أيه بيتمد
+
+402
+00:35:02,900 --> 00:35:07,260
+على شو خيارات هنا ال solution إنها أيه بيتمد على
+
+403
+00:35:07,260 --> 00:35:11,800
+خيارين اللي هو إذا احنا نيجي من فوق أو نيجي من
+
+404
+00:35:11,800 --> 00:35:18,080
+الشمالمضعف اليهم قيمة الخلية في المثال الأولاني
+
+405
+00:35:18,080 --> 00:35:23,740
+كان solution واحد بيشتمل
+
+406
+00:35:23,740 --> 00:35:27,420
+على الواحد
+
+407
+00:35:27,420 --> 00:35:32,740
+زائد أفضل خيار في الاحتمالات اللي قبل ايش
+
+408
+00:35:32,740 --> 00:35:35,040
+الاحتمالات اللي قبل؟ اللي هي ايش ال coins اللي
+
+409
+00:35:35,040 --> 00:35:38,460
+عندنا coin من قطعة اما الواحد اما التلاتة اما
+
+410
+00:35:38,460 --> 00:35:38,880
+الأربع
+
+411
+00:35:41,500 --> 00:35:45,900
+بنختبر كل الاحتمالات هذه نشوف مين الأقل و نضيف
+
+412
+00:35:45,900 --> 00:35:49,480
+عليه واحد وهذا هو اللي بدى يتسجل في الخلية مثال
+
+413
+00:35:49,480 --> 00:35:55,540
+الأخير اللى هو اول واحد كان ارجعله اه sorry ال
+
+414
+00:35:55,540 --> 00:36:02,680
+example تلاتة هذا شو ال complexity تبعته واضح ان
+
+415
+00:36:02,680 --> 00:36:10,250
+انا بدى عبي جدول و الجدول هذا M في Nيبقى من ناحية
+
+416
+00:36:10,250 --> 00:36:17,410
+الـ time و الـ space من ناحية الـ space عندي تخيلي
+
+417
+00:36:17,410 --> 00:36:21,610
+ال ray N في M و من ناحية ال time لازم أعبيهم كلهم
+
+418
+00:36:21,610 --> 00:36:27,320
+يبقى برضه N في M فهذا و big theta لأن مافيworst
+
+419
+00:36:27,320 --> 00:36:32,820
+case بس لازم أعبيهم كلهم في كل الحالات الان
+
+420
+00:36:32,820 --> 00:36:36,620
+عملية ال backtracking لو برضه بده احسبها انا بده
+
+421
+00:36:36,620 --> 00:36:45,020
+امشي مسار صح فهو N زي م طول المسار هذا N زي مماشي
+
+422
+00:36:45,020 --> 00:36:51,160
+انا همشي عشان اصل هنا لازم امشي N زي م مظبوط سواء
+
+423
+00:36:51,160 --> 00:36:55,880
+جبت هويتين ولا جبت مكسرة في الآخر مجموعة القلالة
+
+424
+00:36:55,880 --> 00:37:02,460
+اللي همشيهم هم N زي م طيب نرجع تاني الى اللي هو ال
+
+425
+00:37:02,460 --> 00:37:05,600
+problem الأولى على السريع اللي هي ال coin row
+
+426
+00:37:05,600 --> 00:37:09,960
+problem انتوا مروا عليكم اشي قبل هيك في ال dynamic
+
+427
+00:37:09,960 --> 00:37:15,410
+programming؟ ممرش طيبالاحتمال هي تكون مرة يعني
+
+428
+00:37:15,410 --> 00:37:20,630
+الأولى احنا في ال problem هذه هنطلع عليها السريع
+
+429
+00:37:20,630 --> 00:37:24,790
+انه بيبقى في عندي سطر من ال coins سطر من ال coins
+
+430
+00:37:24,790 --> 00:37:30,690
+زي مثلا ركزوا معايا علشان مايدويش عليكم اللي هو ال
+
+431
+00:37:30,690 --> 00:37:35,190
+problem هذه عندي سطر من ال coins زي هيكا مثلا
+
+432
+00:37:35,190 --> 00:37:41,290
+الخمسةوالواحد والاتنين والعشرة والست والاتنين
+
+433
+00:37:41,290 --> 00:37:59,490
+والمطلوب ان اجيب تشكيلة منهم قيمتها اعلى اشي صحيح
+
+434
+00:37:59,490 --> 00:38:08,470
+هذه خمسة نفسها اضيف عليها صفر صح؟هذه الخمسة على أي
+
+435
+00:38:08,470 --> 00:38:12,370
+أساس خمسة، لو أنا جاي من هنا هذه أربعة، لو جاي من
+
+436
+00:38:12,370 --> 00:38:18,190
+هنا هذه تلاتة، صح؟ او هاديك على أي أساس حتى ترجعي،
+
+437
+00:38:18,190 --> 00:38:24,030
+okay مش مشكلةالأهم المشكلة اللى قلناها ان عدد من
+
+438
+00:38:24,030 --> 00:38:26,990
+ال coins و مش بضرورة يبقى distinct يعني هاي
+
+439
+00:38:26,990 --> 00:38:31,290
+الاتنين مكرر المهم ان انا مطلوب مني أجيب مجموعة
+
+440
+00:38:31,290 --> 00:38:36,650
+فراية تبقى مبلغها أكبر ما يمكن ماجيبهم كلهم و خلاص
+
+441
+00:38:37,800 --> 00:38:40,260
+أجيبهم كلهم و خلاص؟ لأ، في عندي شرط إنه ماجيبش
+
+442
+00:38:40,260 --> 00:38:44,060
+تنتين متجاورات يعني إذا خدت التنتين ماقدرش أخد
+
+443
+00:38:44,060 --> 00:38:47,260
+الستة إذا خدت الواحد ماقدرش أخد التنين ولا أخد
+
+444
+00:38:47,260 --> 00:38:51,360
+الخمسة فبدي أخد مجموعة فرعية مايبقاش فيها two
+
+445
+00:38:51,360 --> 00:38:55,940
+adjacent coins okay الآن الـ Dynamic Programming
+
+446
+00:38:55,940 --> 00:38:59,860
+Formulation لهذه المسألة إنه أنا قاعد أقول خلينا
+
+447
+00:38:59,860 --> 00:39:04,510
+نقول إنه في عندي أناالمجموعة هذه من أجزمة
+
+448
+00:39:04,510 --> 00:39:10,190
+لمجموعتين مجموعة اللي العصر الأخير معاهم ومجموعة
+
+449
+00:39:10,190 --> 00:39:13,750
+اللي العصر الأخير مش معاهم مش فيهم يعني هذا الآن
+
+450
+00:39:13,750 --> 00:39:17,430
+عصر الأخير في مجموعة ايش ممكن ييجي معاه طبعا مش
+
+451
+00:39:17,430 --> 00:39:21,690
+حاجة ده راح أحط الستة حاجة ده راح أحط لعند العشرة
+
+452
+00:39:21,690 --> 00:39:28,550
+أختار من البداية للعشرة أختار مجموعة فرعية صح ولا
+
+453
+00:39:31,710 --> 00:39:36,030
+Okay الآن بدي أختارهم بحيث يكونوا ال best ال
+
+454
+00:39:36,030 --> 00:39:41,610
+مجموعة التانية اللي هي إيش اللي بتبدأ من عند ..
+
+455
+00:39:41,610 --> 00:39:51,230
+اللي بتنتهي بالست و معاها إيش و معاها .. لأ معاها
+
+456
+00:39:51,230 --> 00:39:52,170
+اللي هو إيش
+
+457
+00:39:58,830 --> 00:40:02,030
+خلاص انت قولي المجموعة التانية اللي بتنتهي عند
+
+458
+00:40:02,030 --> 00:40:07,790
+الستة اي تشكيلة من العناصر اللي بتنتهي عند الستة
+
+459
+00:40:07,790 --> 00:40:15,970
+صح؟ صح أو لا؟ ما هو صح بما أنني حطيت الستة لما
+
+460
+00:40:15,970 --> 00:40:20,210
+أستطيع أن أحط العشرة طيب هدول المجموعتين أنا مقدرش
+
+461
+00:40:20,210 --> 00:40:24,870
+أخديجب أن أخد واحد منهم فقط لأن هؤلاء مجموعتين
+
+462
+00:40:24,870 --> 00:40:29,150
+متشابكتين أي عنصر من هؤلاء سيكون مجاور لعنصر من
+
+463
+00:40:29,150 --> 00:40:31,770
+التانية فإذا أخدت من هؤلاء لن أستطيع أن أخد من
+
+464
+00:40:31,770 --> 00:40:38,030
+هؤلاء يبقى ايش؟ Disjoint يبقى أنا لازم أخد هذه أو
+
+465
+00:40:38,030 --> 00:40:42,470
+هذه مين أخد؟ طبعا ال maximum اللي بتعطينا أكبر
+
+466
+00:40:42,470 --> 00:40:49,170
+مبلغ ولا لأ؟ يبقى ال solution تبعي أن ال maximum
+
+467
+00:40:49,170 --> 00:40:50,110
+of
+
+468
+00:40:53,350 --> 00:40:57,910
+هذه المجموعة او هذه المجموعة خلّي بالك ان هذه
+
+469
+00:40:57,910 --> 00:41:05,050
+المجموعة اللي هي .. اللي هي .. مين هذا؟ هذه
+
+470
+00:41:05,050 --> 00:41:13,410
+المجموعة هي العنصر N ومعاه ايش؟ افضل ناس ل N نقص
+
+471
+00:41:13,410 --> 00:41:17,310
+واحد .. نقص اتنين فهذه هي .. هذه المجموعة الأولى
+
+472
+00:41:20,540 --> 00:41:25,460
+مظبوط والمجموعة التانية اللي هي هذه لحظة انه انا
+
+473
+00:41:25,460 --> 00:41:31,700
+ايش جاي اللي هو F ايش ال F هذه يعني
+
+474
+00:41:31,700 --> 00:41:41,740
+solution يعني اكبر مبلغ ممكن احصل عليه من القطع
+
+475
+00:41:41,740 --> 00:41:45,960
+اللي بتنتهي ب N ناقص واحد هنا
+
+476
+00:41:47,460 --> 00:41:51,060
+مبلغ افضل .. افضل مبلغ ممكن تحصل عليه من القطع
+
+477
+00:41:51,060 --> 00:41:56,940
+اللي بتنتهي بالنقص اتنين okayالان اصبحت الحكاية
+
+478
+00:41:56,940 --> 00:42:01,000
+recursive انه طيب عشان انا اجيب .. احل .. اجيب هدى
+
+479
+00:42:01,000 --> 00:42:05,380
+و اجيب هدى عشان احسب مين ال maximum هدى عشان اجيبه
+
+480
+00:42:05,380 --> 00:42:09,960
+تخيلي انه هاد المجموعة اللي هي F اللي هي N اللي
+
+481
+00:42:09,960 --> 00:42:14,320
+تنتهي عند N نقص 2 برضه بده احلها بنفس الأسلوب بده
+
+482
+00:42:14,320 --> 00:42:19,940
+اخد هدى بحال و مجموعة و بعد المجموعة الأخرى okay
+
+483
+00:42:25,020 --> 00:42:31,100
+نعلم إن F of 0 أفضل maximum number لما نكون
+
+484
+00:42:31,100 --> 00:42:35,060
+ماعنديش ولا قطعة هو Zero لما نكون عندي قطعة واحدة
+
+485
+00:42:35,060 --> 00:42:40,020
+هي هذه القطعة F of 1 بيساوي C1 C1 يعني Coin يعني
+
+486
+00:42:40,020 --> 00:42:46,880
+انا اتخيل ايه هما دولة في array اسمها C و هذا C1 و
+
+487
+00:42:46,880 --> 00:42:51,760
+هذا C2 و C3 و C4 و C5 و C6
+
+488
+00:42:54,060 --> 00:42:57,560
+تمام فإذا أنا عندي كله بس ماعنديش اللي هي ده C1
+
+489
+00:42:57,560 --> 00:43:02,300
+فهي .. هي الأفضل إذا أنا عندي C .. عندي قطعتين ف
+
+490
+00:43:02,300 --> 00:43:07,900
+.. بدي أختار واحد منهم لإنه إذا أختارت الأول
+
+491
+00:43:07,900 --> 00:43:12,400
+ماقدرش أختار التاني متجاورات إذا عندي تلاتة بدي
+
+492
+00:43:12,400 --> 00:43:18,140
+أختار تنتين إذا عندي أربع بدي أختار تنتين بس
+
+493
+00:43:18,140 --> 00:43:23,880
+مايكونوش جانب بعضالحل النهائي يعتمد على الحل اللي
+
+494
+00:43:23,880 --> 00:43:27,340
+جابله واللي جابله واضح فإيش ال solution كيف ممكن
+
+495
+00:43:27,340 --> 00:43:31,000
+نحل الأمور هذا فيها ال D array اللي هي array ال
+
+496
+00:43:31,000 --> 00:43:34,540
+coins حياتهم الخمسة والواحد والاتنين والعشرة
+
+497
+00:43:34,540 --> 00:43:38,180
+والستة والاتنين الآن بحسب أعمل array أخرى بحسب
+
+498
+00:43:38,180 --> 00:43:44,100
+فيها ال Fلما أقول F of 0 على طول و احنا مقنضين
+
+499
+00:43:44,100 --> 00:43:50,420
+بيساوي 0 صح؟ F of 1 يساوي ايش؟ C1 و يساوي عندي هنا
+
+500
+00:43:50,420 --> 00:43:57,880
+خمسة، مظبوط؟ هذي C1 طيب C .. F of 2؟
+
+501
+00:43:57,880 --> 00:44:02,360
+بدنا نيجي ان احسب من ال maximum، maximum ماببين
+
+502
+00:44:02,360 --> 00:44:14,410
+ايش؟ F of .. اسف C1 .. C2C2 زائد F of N ناقص 2
+
+503
+00:44:14,410 --> 00:44:19,650
+والخيار الآخر هو F of N ناقص 1 مش هيكة؟ مش هيكة
+
+504
+00:44:19,650 --> 00:44:26,690
+كانت الا تا ولا هدا؟ CN زائد F of N ناقص 2 والبديل
+
+505
+00:44:26,690 --> 00:44:32,130
+الآخر F of N ناقص 1 هذا إيه شو ساوي؟ CO2 معلوم؟
+
+506
+00:44:32,130 --> 00:44:38,130
+معلوم طبعا، هياتوا F of N ناقص 2 معلوم؟ إيش N؟ مش
+
+507
+00:44:38,130 --> 00:44:45,330
+ب2؟ن بيساوي اتنين اتنين ماقص اتنين Zero ايش F of
+
+508
+00:44:45,330 --> 00:44:51,490
+Zero F of Zero Zero طيب
+
+509
+00:44:51,490 --> 00:44:56,730
+الـ F of N ماقص واحد معلوم ن بيساوي اتنين N ماقص
+
+510
+00:44:56,730 --> 00:45:04,870
+واحد واحد ايش F of واحد خمسة مين الأكبر مين
+
+511
+00:45:04,870 --> 00:45:08,590
+الأكبر خمسة فبسجل على F اتنين
+
+512
+00:45:18,340 --> 00:45:26,500
+خمسة طبعا الان F اه خمسة هيا الان F of تلاتة N
+
+513
+00:45:26,500 --> 00:45:33,440
+بتساوي تلاتة F of تلاتة بيساوي يا اما C of تلاتة C
+
+514
+00:45:33,440 --> 00:45:41,540
+تلاتة زائد F of تلاتة نقص اتنين واحد صح او F of
+
+515
+00:45:41,540 --> 00:45:49,670
+تلاتة نقص واحد اتنين جداش هذا C تلاتة جداشC3 2 صح
+
+516
+00:45:49,670 --> 00:45:57,830
+زائد F1 F1 5 صح يساوي 7 مظبوط ايش البديل الآخر منه
+
+517
+00:45:57,830 --> 00:46:05,290
+F2 اللي هي خمسة مين الأكبر سبعة نسجل سبعة في ايش
+
+518
+00:46:05,290 --> 00:46:12,090
+في F3 وعلى هذا الحالة في الآخر في الآخر بيصل معايا
+
+519
+00:46:12,090 --> 00:46:18,950
+انه ايشF of N 17 يعني لما يكون في عندي ست قطع هم
+
+520
+00:46:18,950 --> 00:46:25,130
+هدولة أفضل تشكيلة بقدر أخدها مجموحها 17 لكن من هم
+
+521
+00:46:25,130 --> 00:46:27,890
+طيب للمحاضرة القادمة
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/fICn1WeEIh8.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/fICn1WeEIh8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..97be3138868b219e8330a23037aaf28bafd74984
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/fICn1WeEIh8.srt
@@ -0,0 +1,694 @@
+1
+00:00:21,330 --> 00:00:23,250
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,250 --> 00:00:27,310
+المصريين اليوم إن شاء الله سنُطلع على الـ B-trees
+
+3
+00:00:27,310 --> 00:00:32,550
+اللي هي مثال آخر لـ pre-structuring اللي هو
+
+4
+00:00:32,550 --> 00:00:37,550
+وسيلة من وسائل أو أسلوب من أساليب لـ pre-trade-offs
+
+5
+00:00:37,550 --> 00:00:40,310
+-structuring كما شفنا في الـ hashing أننا نقوم ب
+
+6
+00:00:40,310 --> 00:00:45,030
+بإنشاء data structure الذي ساعد في العملية الأساسية أو
+
+7
+00:00:45,030 --> 00:00:49,590
+العملية الأساسية التي بدأتْ  هناك في جدول الـ hash table
+
+8
+00:00:49,810 --> 00:00:53,010
+أو الـ Hashing وفي الـ B-trees العملية الأساسية
+
+9
+00:00:53,010 --> 00:00:56,390
+التي بدأنا نقوم بها هي عمليات البحث و
+
+10
+00:00:56,390 --> 00:00:59,290
+الإدخال و الحذف على المجموعة، عندي مجموعة
+
+11
+00:00:59,290 --> 00:01:04,410
+من العناصر، الـ keys والمطلوب أن نقوم بعمل بحث،
+
+12
+00:01:04,410 --> 00:01:10,410
+نقوم بحذف، نقوم بإدخال، فعشان الخوارزمية تكون
+
+13
+00:01:10,410 --> 00:01:17,150
+عملها أسهل، فيتم توطين أو تسكين هذه العناصر في
+
+14
+00:01:17,150 --> 00:01:20,610
+data structure، هناك كان جدول الـ HASH TABLE، هنا اللي هو
+
+15
+00:01:20,610 --> 00:01:23,710
+الـ B-Tree، الـ B-Tree وجدول الـ HASH TABLE يساعدان في
+
+16
+00:01:23,710 --> 00:01:27,330
+هذه العمليات، وهي البحث والإدخال و
+
+17
+00:01:27,330 --> 00:01:31,490
+الحذف، الـ B-Tree أكيد مرّ عليكم في
+
+18
+00:01:31,490 --> 00:01:35,830
+قواعد البيانات، في قواعد البيانات، إذا كان نظام إدارة قواعد البيانات
+
+19
+00:01:35,830 --> 00:01:40,950
+(database management system) يريد إنشاء مؤشر على
+
+20
+00:01:40,950 --> 00:01:45,330
+الجداول، فإنه يستخدم الـ B-Trees، الـ B-Trees هي
+
+21
+00:01:45,330 --> 00:01:53,530
+الوسيلة الأساسية لإنشاء المؤشرات لجداول قواعد البيانات.
+
+22
+00:01:53,530 --> 00:01:58,490
+أهميتها تكمن في تسريع عملية البحث عندما نريد
+
+23
+00:01:58,490 --> 00:02:02,730
+إنشاء استعلام، إذا لم يوجد مؤشر للجداول، فماذا
+
+24
+00:02:02,730 --> 00:02:05,590
+يحدث؟ عادةً ما تكون عملية البحث تسلسلية.
+
+25
+00:02:05,590 --> 00:02:09,010
+تسلسلياً، أما وجود المؤشر، وهذا المؤشر قد
+
+26
+00:02:09,010 --> 00:02:12,350
+يكون على المفتاح الأساسي أو على مفتاح غير أساسي أو مفتاح خارجي.
+
+27
+00:02:12,350 --> 00:02:15,970
+بمعنى آخر، على أي مفتاح، حتى على مؤشر، مما يعني أنه من الممكن
+
+28
+00:02:15,970 --> 00:02:24,450
+وجود عناصر مكررة، الـ B-tree هي واحدة من أهم أدوات
+
+29
+00:02:24,450 --> 00:02:31,430
+أو تقنيات تنظيم المؤشرات، وهذا طبعاً عندما تكون
+
+30
+00:02:31,430 --> 00:02:36,800
+لدينا مجموعات بيانات من السجلات المنظمة في الجداول.
+
+31
+00:02:36,800 --> 00:02:39,500
+السطر الواحد هو عبارة عن سجل، وهذا السجل
+
+32
+00:02:39,500 --> 00:02:44,060
+منظم لأنه مجموعة من عناصر البيانات، ولكل واحد
+
+33
+00:02:44,060 --> 00:02:48,320
+منهم... كل سجل هو عبارة عن مجموعة، فيكون لديك مجموعات و
+
+34
+00:02:48,320 --> 00:02:51,980
+تريد تنظيم هذه المجموعات على القرص، وتريد تسهيل عملية
+
+35
+00:02:51,980 --> 00:02:55,760
+الاسترجاع والتخزين والإدخال و
+
+36
+00:02:55,760 --> 00:02:59,360
+الحذف، وهذه الأمور، فأنسب شيء هو استخدام المؤشر
+
+37
+00:02:59,360 --> 00:03:03,700
+وB-tree هي... هي واحدة من أكثر الأشياء شيوعاً، يعني
+
+38
+00:03:06,100 --> 00:03:11,660
+وظيفتها ليست فقط المساعدة في عملية البحث، بل لها
+
+39
+00:03:11,660 --> 00:03:15,180
+دور أيضاً في تحديد الموقع، لأن البيانات تكون
+
+40
+00:03:15,180 --> 00:03:21,640
+موجودة على القرص، على وحدة التخزين، وربما تكون متناثرة
+
+41
+00:03:21,640 --> 00:03:26,920
+أو متشتتة في أماكن مختلفة، في النهاية المفتاح عندما أريد
+
+42
+00:03:26,920 --> 00:03:31,280
+البحث عن مفتاح، عن المفتاح الأساسي، وأبحث عن مفتاح
+
+43
+00:03:31,280 --> 00:03:33,800
+المفتاح الأساسي، يوجد مؤشر على مكان
+
+44
+00:03:33,800 --> 00:03:37,260
+الموقع أو الصفحة التي تم تخزينه فيها على القرص.
+
+45
+00:03:37,260 --> 00:03:42,040
+بحيث أننا نستطيع استرجاعه، يعني ما هو مخزّن في B-tree هو
+
+46
+00:03:42,040 --> 00:03:47,130
+فقط المفاتيح، لا يتم تخزين مجموعة البيانات، مجموعة البيانات
+
+47
+00:03:47,130 --> 00:03:49,990
+تكون موجودة فعلياً على القرص الصلب.
+
+48
+00:03:49,990 --> 00:03:56,470
+ويوجد مؤشر في الشجرة لنتمكن من استرجاعها.
+
+49
+00:03:56,470 --> 00:04:02,090
+آخر ملاحظة، أن B-tree هي امتداد لـ
+
+50
+00:04:02,090 --> 00:04:09,870
+2-3 شجرة، تتذكر 2-3 شجرة؟ يكون لديك عقد إما تحتوي على
+
+51
+00:04:09,870 --> 00:04:15,510
+مفتاح واحد أو مفتاحين، يعني واحد أو اثنين، لا يوجد أكثر من ذلك.
+
+52
+00:04:15,510 --> 00:04:19,300
+إذا كان واحد، يكون لديه فرعين، إذا كان اثنين يكون لديه
+
+53
+00:04:19,300 --> 00:04:24,060
+ثلاثة فروع، حسناً، الامتداد هو أن نترك
+
+54
+00:04:24,060 --> 00:04:29,800
+نزيل هذا الشرط، نترك عدد المفاتيح مفتوحاً.
+
+55
+00:04:29,800 --> 00:04:36,880
+بمعنى أن يكون لدينا عدد ما من المفاتيح.
+
+56
+00:04:36,880 --> 00:04:42,380
+من K صفر إلى K ناقص واحد، عدد N من المفاتيح.
+
+57
+00:04:42,380 --> 00:04:49,890
+وبالتالي لكل مفتاح يوجد مؤشر، ثم مؤشر، يعني
+
+58
+00:04:49,890 --> 00:04:54,650
+بين كل مفتاح والآخر يوجد مؤشر، هذه المؤشرات
+
+59
+00:04:54,650 --> 00:05:01,010
+تشير إلى ماذا؟ إلى شجيرات فرعية، صحيح؟ هذه الشجيرات الفرعية
+
+60
+00:05:01,010 --> 00:05:05,810
+تحتوي على المفاتيح الأصغر من K واحد، وهذه على
+
+61
+00:05:05,810 --> 00:05:11,070
+المفاتيح الأكبر من أو تساوي K واحد ولكن أقل من K اثنين.
+
+62
+00:05:11,070 --> 00:05:14,150
+صحيح؟ على سبيل المثال، هذه الشجرة.
+
+63
+00:05:21,900 --> 00:05:25,480
+إذا أردت البحث عن العنصر، المفتاح ثلاثة و
+
+64
+00:05:25,480 --> 00:05:29,260
+أربعين، ثلاثة وأربعين، حسناً، أريد البحث في المفاتيح
+
+65
+00:05:29,260 --> 00:05:33,220
+التي في الجذر، ثلاثة وأربعين أكبر من عشرين أصلاً.
+
+66
+00:05:33,220 --> 00:05:38,150
+من واحد وخمسين، أريد التوجه في هذا الاتجاه، أكبر من
+
+67
+00:05:38,150 --> 00:05:42,150
+الأربعين، من جهة أخرى، الاتجاه، هي موجودة هنا، هذه العقد
+
+68
+00:05:42,150 --> 00:05:47,210
+هذه، هذه العقد الأم أو عقد الفهرس.
+
+69
+00:05:47,210 --> 00:05:51,290
+وهذه عقد الأوراق، عقد الأوراق هي التي تحتوي على
+
+70
+00:05:51,290 --> 00:05:55,350
+البيانات،  لو قلت لك: هذه المفاتيح أربعة وسبعة
+
+71
+00:05:55,350 --> 00:05:59,530
+وعشرة، ولا أعرف، هذه المفاتيح مجموعة المفاتيح
+
+72
+00:05:59,530 --> 00:06:03,810
+وقلت لك: شكّلها في B-tree، في النهاية هذه المفاتيح
+
+73
+00:06:03,810 --> 00:06:08,260
+ستأتي على مستوى الأوراق، مستوى عقد الأوراق.
+
+74
+00:06:08,260 --> 00:06:16,260
+والباقي مجرد مؤشرات عليها، حسناً، نعود مرة أخرى
+
+75
+00:06:16,260 --> 00:06:21,740
+إلى الشريحة السابقة،  تقدّمنا هكذا، صحيح؟ حسناً.
+
+76
+00:06:21,740 --> 00:06:28,040
+تمام.
+
+77
+00:06:28,040 --> 00:06:31,740
+جميع سجلات البيانات، جميع سجلات البيانات مخزّنة
+
+78
+00:06:31,740 --> 00:06:37,460
+في الأوراق، صحيح؟ بترتيب تصاعدي للمفاتيح.
+
+79
+00:06:37,460 --> 00:06:43,940
+تصاعدياً، ثم عقد الأم التي ذكرتها.
+
+80
+00:06:43,940 --> 00:06:46,420
+عقد الفهرس، عقد الأم تستخدم لـ
+
+81
+00:06:46,420 --> 00:06:51,720
+عمل الفهرسة، صحيح؟ فهي
+
+82
+00:06:51,720 --> 00:06:56,820
+مجرد ما أقول لك:  أن كل مفتاح، يعني مجموعة
+
+83
+00:06:56,820 --> 00:06:59,440
+من المفاتيح، بين كل مفتاح ومفتاح آخر يوجد مؤشر.
+
+84
+00:06:59,440 --> 00:07:04,720
+مؤشر على الفروع، حسناً، المفاتيح، المفاتيح
+
+85
+00:07:05,960 --> 00:07:10,380
+متداخلة، بمعنى أنها تتخللها، وهي مؤشرات إلى
+
+86
+00:07:10,380 --> 00:07:14,400
+الفروع، إلى الفروع، واضح؟ لا يوجد شيء جديد هنا.
+
+87
+00:07:14,400 --> 00:07:21,180
+حسناً.
+
+88
+00:07:21,180 --> 00:07:27,240
+حسناً،  آخر ثلاث ملاحظات،  أن الشجرة
+
+89
+00:07:27,240 --> 00:07:31,550
+لها ترتيب،  لديها ترتيب،  عندما أقول ترتيب أربعة
+
+90
+00:07:31,550 --> 00:07:34,330
+مثل هذه الشجرة،  هذه الشجرة ترتيبها
+
+91
+00:07:34,330 --> 00:07:40,410
+أربعة، ما معنى الترتيب؟ يعني الحد الأقصى لعدد
+
+92
+00:07:40,410 --> 00:07:46,010
+المفاتيح، صحيح؟  عدد المفاتيح في العقد.
+
+93
+00:07:46,010 --> 00:07:50,470
+نعم، لأن عدد المفاتيح أقل من المؤشرات بواحد بالضبط.
+
+94
+00:07:50,470 --> 00:07:55,470
+حسناً، لدينا هنا أربعة مؤشرات،  حسناً، هذا يعني
+
+95
+00:07:55,470 --> 00:08:00,730
+أنني لا أستطيع، إذا أصبح لدي مفتاح آخر، لا أستطيع استيعابه.
+
+96
+00:08:00,730 --> 00:08:06,020
+فلابد من إجراء عملية الانقسام، صحيح؟  حسناً، الآن نعود مرة أخرى
+
+97
+00:08:06,020 --> 00:08:10,460
+أن الجذر إما ورقة أو إذا لم يكن في
+
+98
+00:08:10,460 --> 00:08:15,680
+الشجرة إلا مفتاح واحد، فإنه يكون الجذر هو هذا المفتاح.
+
+99
+00:08:15,680 --> 00:08:21,180
+أو يكون لديه ما بين اثنين إلى ثلاثة إلى M فروع.
+
+100
+00:08:21,180 --> 00:08:25,240
+يعني ما بين اثنين إلى أربعة مؤشرات إذا كان M
+
+101
+00:08:25,240 --> 00:08:28,960
+يساوي أربعة، على فرض أن M تساوي أربعة، كما في
+
+102
+00:08:28,960 --> 00:08:34,240
+الشجرة الآن،  لديّ حد أقصى، يعني حد أقصى
+
+103
+00:08:34,240 --> 00:08:38,620
+وحد أدنى لعدد... عدد...
+
+104
+00:08:38,620 --> 00:08:42,600
+المؤشرات أو الفروع في كل عقدة،  خلافاً لما كان
+
+105
+00:08:42,600 --> 00:08:51,100
+في عقد الأم، يكون عدد... الحد الأدنى لـ
+
+106
+00:08:51,100 --> 00:08:58,400
+الحد الأدنى M على 2، والحد الأقصى هو M،  عدد
+
+107
+00:08:58,400 --> 00:09:03,620
+الفروع، عدد المؤشرات، وبالتالي عدد المفاتيح
+
+108
+00:09:03,620 --> 00:09:14,300
+أقل بواحد، جميع الأوراق على
+
+109
+00:09:14,300 --> 00:09:17,840
+نفس المستوى، جميع المفاتيح النهائية، وهي
+
+110
+00:09:17,840 --> 00:09:22,120
+البيانات، يعني كلها على نفس المستوى، وهو
+
+111
+00:09:22,120 --> 00:09:25,980
+الأخير، وبالتالي متوازنة،  معنى ذلك أنه لا يوجد فرع
+
+112
+00:09:25,980 --> 00:09:27,660
+أطول من فرع.
+
+113
+00:09:31,030 --> 00:09:36,030
+حسناً، عندما نتحدث عن التعقيد في B-tree، يجب النظر
+
+114
+00:09:36,030 --> 00:09:39,530
+إلى جانبين، وهما جانب البحث، وجانب
+
+115
+00:09:39,530 --> 00:09:47,130
+وصول صفحة القرص، لأن عملية البحث تتضمن
+
+116
+00:09:47,130 --> 00:09:50,390
+مقارنات،  أقارن ما هو معي،  ما أبحث عنه
+
+117
+00:09:50,390 --> 00:09:53,610
+مع المفاتيح الموجودة في العقد،  وأنتقل من عقدة لعقدة.
+
+118
+00:09:53,610 --> 00:09:56,970
+حتى أصل إليه، هذا يتضمن مقارنات.
+
+119
+00:09:56,970 --> 00:09:59,590
+عملية المقارنة بين ما هو معي والقيم الموجودة.
+
+120
+00:10:00,390 --> 00:10:04,250
+لكن هذا جانب،  الجانب الآخر، أنه أيضاً توجد عملية
+
+121
+00:10:04,250 --> 00:10:10,030
+وصول إلى القرص، نعم،  أريد جلب البيانات من... هذه
+
+122
+00:10:10,030 --> 00:10:15,390
+العملية تستغرق وقتاً أطول بكثير من المقارنات التي
+
+123
+00:10:15,390 --> 00:10:20,630
+... عموماً البحث،  البحث
+
+124
+00:10:20,630 --> 00:10:25,250
+في B-tree يعتمد على عمق... على عمق الشجرة.
+
+125
+00:10:25,250 --> 00:10:28,270
+أو الارتفاع،  في الشجرة، لأنه نعود مرة أخرى
+
+126
+00:10:28,270 --> 00:10:33,950
+إلى هذا المثال، عندما بحثت عن 43 في
+
+127
+00:10:33,950 --> 00:10:38,530
+كل عقدة،  أبحث داخلها،  داخل المفاتيح التي
+
+128
+00:10:38,530 --> 00:10:41,390
+فيها، أقارن ما هو معي بما هو فيها لأعرف من أين
+
+129
+00:10:41,390 --> 00:10:48,290
+أتجه، إلى أي فرع، صحيح؟ الجانب الآخر محكوم بـ M.
+
+130
+00:10:48,290 --> 00:10:51,650
+عدد المقارنات داخل العقدة الواحدة محكوم بـ M.
+
+131
+00:10:51,650 --> 00:10:55,630
+لن أقوم بأكثر من M مقارنة، M ناقص واحد مقارنة، صحيح؟
+
+132
+00:10:57,180 --> 00:11:02,500
+صحيح؟ هذا شيء أستطيع أن أعتبره ثابتاً،  أما المتغير فهو
+
+133
+00:11:02,500 --> 00:11:07,080
+كم قفزة سأقفز، وهذا يعتمد على ارتفاع
+
+134
+00:11:07,080 --> 00:11:11,100
+الشجرة، حسناً، يمكنني التعبير عن تعقيد
+
+135
+00:11:11,100 --> 00:11:15,220
+عدد المقارنات في عملية البحث، عدد المقارنات
+
+136
+00:11:15,220 --> 00:11:18,140
+التي سأقوم بها في عملية البحث على أساس الارتفاع، والـ
+
+137
+00:11:18,140 --> 00:11:24,520
+الارتفاع نفسه يعتمد على، أو مرتبط بـ N.
+
+138
+00:11:25,280 --> 00:11:34,480
+كلما زاد عدد العناصر زاد العمق، لكن N  هناك عامل
+
+139
+00:11:34,480 --> 00:11:41,680
+آخر يؤثر على الارتفاع،  هناك عامل آخر في تصميم
+
+140
+00:11:41,680 --> 00:11:48,520
+الشجرة، قد يعتمد عليه الارتفاع،  M أيضاً، إذا كان M
+
+141
+00:11:48,520 --> 00:11:52,280
+كبيرة، تتسطح
+
+142
+00:11:52,280 --> 00:11:59,450
+الشجرة،  تصبح غير بحاجة لمستويات كثيرة،  إذا كان M صغيرة، تبدأ
+
+143
+00:11:59,450 --> 00:12:05,810
+تُشدّ الشجرة، وتزداد عمقاً، يزيد طولها،  لو كان لديّ
+
+144
+00:12:05,810 --> 00:12:11,970
+مثلاً N يساوي 100 ألف، 100 ألف مفتاح، صحيح؟  هذه الـ 100 ألف
+
+145
+00:12:11,970 --> 00:12:19,210
+إذا كان لدي M صغيرة، سأوزعها على
+
+146
+00:12:19,210 --> 00:12:25,670
+عدد كبير من المستويات،  لكن عندما أسمح بـ M أكبر، M
+
+147
+00:12:25,670 --> 00:12:30,630
+تساوي مثلاً خمسين، لن أحتاج... لن تتوزع
+
+148
+00:12:30,630 --> 00:12:34,250
+الـ 100 ألف على مستويات كثيرة، صحيح؟  فالارتفاع يعتمد على
+
+149
+00:12:34,250 --> 00:12:41,920
+كلاً من عدد المفاتيح وترتيب
+
+150
+00:12:41,920 --> 00:12:46,680
+الشجرة، في النهاية العلاقة هذه هي
+
+151
+00:12:46,680 --> 00:12:53,680
+الموجودة هنا،  سنأخذها جاهزة بدون التعمق
+
+152
+00:12:53,680 --> 00:13:00,660
+في تحليلها، أن ارتفاع أي B-tree
+
+153
+00:13:00,660 --> 00:13:08,940
+لا يتجاوز،  يكون أقل من أو يساوي لوغاريتم الأساس
+
+154
+00:13:08,940 --> 00:13:15,620
+M على 2 لـ N على 4 زائد 1، تمام؟  كما قلت
+
+155
+00:13:15,620 --> 00:13:19,660
+لن نتعمق في كيفية الوصول لهذه العلاقة أو
+
+156
+00:13:19,660 --> 00:13:25,120
+هذه المتباينة، لكن المهم أنها تقول أن H يعتمد على
+
+157
+00:13:25,120 --> 00:13:29,660
+لوغاريتم M، لوغاريتم الأساس M لـ N،  معنى ذلك
+
+158
+00:13:29,660 --> 00:13:31,680
+معنى ذلك أن التعقيد
+
+159
+00:13:34,400 --> 00:13:37,780
+لوغاريتمي، ولماذا Big O؟ لأننا هنا نقول
+
+160
+00:13:37,780 --> 00:13:43,720
+أنه لا يتجاوز،  يعني أسوأ حالة لعدد
+
+161
+00:13:43,720 --> 00:13:50,810
+المستويات،  أسوأ حالة هي لوغاريتم N،  واضح؟  هذه
+
+162
+00:13:50,810 --> 00:13:55,410
+الجدول يعطي نتائج بناءً على...  العدد الثابت من
+
+163
+00:13:55,410 --> 00:13:58,870
+العدد الثابت من
+
+164
+00:13:58,870 --> 00:14:03,190
+العقد،  عدد ثابت من العقد،  عندما نغيّر M،  هنا
+
+165
+00:14:03,190 --> 00:14:08,450
+M 50، هنا M 100، هنا M 250،  250 مفتاحاً في العقدة الواحدة
+
+166
+00:14:08,450 --> 00:14:13,150
+أو 250 مؤشراً، آسف، في العقدة الواحدة، طبعاً ماذا؟
+
+167
+00:14:13,150 --> 00:14:23,530
+تتوقعين أن كلما زاد M يقل الارتفاع، صحيح؟
+
+168
+00:14:23,530 --> 00:14:27,830
+لعدد ثابت وهو 100 مليون سجل،  عدد ثابت من
+
+169
+00:14:27,830 --> 00:14:34,790
+السجلات،  عندما يتغير M يؤثر على، كيف يؤثر على
+
+170
+00:14:34,790 --> 00:14:39,670
+الارتفاع، حسناً.
+
+171
+00:14:40,840 --> 00:14:44,220
+ماذا غير هذا يجب أن نرى؟  يجب أن نرى تعقيد
+
+172
+00:14:44,220 --> 00:14:47,560
+الإدخال، أما الحذف،  أعتقد أنكم
+
+173
+00:14:47,560 --> 00:14:51,860
+تاخذون الحذف في قواعد البيانات،  صحيح؟ نحن هنا فقط
+
+174
+00:14:51,860 --> 00:14:55
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/fICn1WeEIh8_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/fICn1WeEIh8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..931d69ec1f84646670cb6ffcf4594576df58c292
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/fICn1WeEIh8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4959, "start": 21.33, "end": 49.59, "text": "بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف المصريين اليوم ان شاء الله بنطلع على ال ال B-trees اللي هي مثال أخر ل ال pre-structuring اللي هو وسيلة من وسائل أو سلوب من أساليب ل trade-offs pre-structuring زي ما شوفنا في ال hashing أننا بنعمل data structure اللي ساعد في العملية الأساسية أو العملية الأساسية اللي بدأ تم هناك في ال hash table", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 25894, 5551, 8592, 28480, 9673, 9381, 16572, 9957, 45595, 20498, 16472, 13412, 16606, 21984, 44945, 9566, 1211, 3615, 15844, 2423, 2423, 363, 12, 3599, 279, 13672, 1829, 39896, 50113, 6027, 5551, 34740, 5296, 2423, 659, 12, 372, 1757, 1345, 13672, 1829, 31439, 46952, 26895, 3660, 9154, 46952, 16373, 1211, 34051, 8608, 1211, 37746, 9154, 5551, 3794, 6027, 1829, 3555, 5296, 4923, 12, 19231, 659, 12, 372, 1757, 1345, 30767, 1829, 19446, 13412, 38688, 8315, 8978, 2423, 575, 571, 14739, 8315, 44945, 25957, 1211, 1412, 3877, 13672, 1829, 8608, 995, 22488, 8978, 18863, 42213, 10632, 16247, 3794, 32277, 10632, 34051, 18863, 42213, 10632, 16247, 3794, 32277, 10632, 13672, 1829, 47525, 10721, 46811, 34105, 4117, 8978, 2423, 22019, 3199], "avg_logprob": -0.1937265001741567, "compression_ratio": 1.9854014598540146, "no_speech_prob": 1.430511474609375e-06, "words": [{"start": 21.33, "end": 21.61, "word": "بسم", "probability": 0.822265625}, {"start": 21.61, "end": 21.75, "word": " الله", "probability": 0.93994140625}, {"start": 21.75, "end": 22.01, "word": " الرحمن", "probability": 0.9749348958333334}, {"start": 22.01, "end": 22.29, "word": " الرحيم", "probability": 0.9895833333333334}, {"start": 22.29, "end": 22.55, "word": " الصلاة", "probability": 0.8561197916666666}, {"start": 22.55, "end": 22.85, "word": " والسلام", "probability": 0.8927408854166666}, {"start": 22.85, "end": 22.99, "word": " علي", "probability": 0.49609375}, {"start": 22.99, "end": 23.25, "word": " أشرف", "probability": 0.8585611979166666}, {"start": 23.25, "end": 23.81, "word": " المصريين", "probability": 0.8397216796875}, {"start": 23.81, "end": 24.49, "word": " اليوم", "probability": 0.936767578125}, {"start": 24.49, "end": 24.63, "word": " ان", "probability": 0.400390625}, {"start": 24.63, "end": 24.85, "word": " شاء", "probability": 0.977294921875}, {"start": 24.85, "end": 24.95, "word": " الله", "probability": 0.95654296875}, {"start": 24.95, "end": 25.57, "word": " بنطلع", "probability": 0.8426513671875}, {"start": 25.57, "end": 25.85, "word": " على", "probability": 0.69384765625}, {"start": 25.85, "end": 26.37, "word": " ال", "probability": 0.98291015625}, {"start": 26.37, "end": 26.67, "word": " ال", "probability": 0.55712890625}, {"start": 26.67, "end": 26.81, "word": " B", "probability": 0.2216796875}, {"start": 26.81, "end": 27.31, "word": "-trees", "probability": 0.7784830729166666}, {"start": 27.31, "end": 27.55, "word": " اللي", "probability": 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"word": " أو", "probability": 0.77685546875}, {"start": 33.83, "end": 34.09, "word": " سلوب", "probability": 0.7681477864583334}, {"start": 34.09, "end": 34.19, "word": " من", "probability": 0.849609375}, {"start": 34.19, "end": 34.79, "word": " أساليب", "probability": 0.912890625}, {"start": 34.79, "end": 35.33, "word": " ل", "probability": 0.70361328125}, {"start": 35.33, "end": 35.63, "word": " trade", "probability": 0.68408203125}, {"start": 35.63, "end": 36.01, "word": "-offs", "probability": 0.73095703125}, {"start": 36.01, "end": 37.55, "word": " pre", "probability": 0.465087890625}, {"start": 37.55, "end": 38.13, "word": "-structuring", "probability": 0.947998046875}, {"start": 38.13, "end": 38.37, "word": " زي", "probability": 0.899658203125}, {"start": 38.37, "end": 38.43, "word": " ما", "probability": 0.93505859375}, {"start": 38.43, "end": 38.85, "word": " شوفنا", "probability": 0.8328450520833334}, {"start": 38.85, "end": 38.99, "word": " في", "probability": 0.9296875}, {"start": 38.99, "end": 39.07, "word": " ال", "probability": 0.966796875}, {"start": 39.07, "end": 39.49, "word": " hashing", "probability": 0.759033203125}, {"start": 39.49, "end": 39.85, "word": " أننا", "probability": 0.535888671875}, {"start": 39.85, "end": 40.31, "word": " بنعمل", "probability": 0.9542643229166666}, {"start": 40.31, "end": 40.65, "word": " data", "probability": 0.93994140625}, {"start": 40.65, "end": 41.29, "word": " structure", "probability": 0.89013671875}, {"start": 41.29, "end": 42.29, "word": " اللي", "probability": 0.959716796875}, {"start": 42.29, "end": 43.35, "word": " ساعد", "probability": 0.8938802083333334}, {"start": 43.35, "end": 43.71, "word": " في", "probability": 0.98291015625}, {"start": 43.71, "end": 44.27, "word": " العملية", "probability": 0.978515625}, {"start": 44.27, "end": 44.89, "word": " الأساسية", "probability": 0.98583984375}, {"start": 44.89, "end": 45.03, "word": " أو", "probability": 0.81640625}, {"start": 45.03, "end": 45.29, 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ال keys و المطلوب انه احنا نعمل search نعمل delete نعمل insert فعشان ال algorithm يكون شغلها أسهل فبيتم توطين او تسكين هذه العناصر في data structure هناك كان", "tokens": [10721, 2407, 2423, 39184, 8646, 571, 4032, 41185, 2423, 39184, 363, 12, 3599, 279, 18863, 42213, 10632, 16247, 3794, 32277, 10632, 13672, 1829, 47525, 2655, 8315, 8717, 25957, 1211, 39896, 6225, 2304, 20292, 9307, 2423, 10808, 4032, 2423, 8969, 313, 4032, 2423, 1103, 302, 313, 15844, 9673, 7435, 2304, 2407, 27884, 43242, 7578, 3714, 7435, 2304, 2407, 27884, 9154, 18863, 1863, 33546, 2288, 2423, 9317, 4032, 9673, 9566, 1211, 37746, 16472, 3224, 1975, 5016, 8315, 8717, 25957, 1211, 3164, 8717, 25957, 1211, 12097, 8717, 25957, 1211, 8969, 6156, 3615, 8592, 7649, 2423, 9284, 7251, 30544, 13412, 17082, 1211, 11296, 5551, 3794, 3224, 1211, 6156, 21292, 39237, 33427, 9566, 9957, 1975, 2407, 6055, 3794, 4117, 9957, 29538, 18863, 1863, 33546, 2288, 8978, 1412, 3877, 34105, 4117, 25961], "avg_logprob": -0.17655020342098446, 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indexing على ال tables لأ بيستخدم ال B-Trees ال B-Trees هي الوسيلة الأساسية", "tokens": [6027, 39184, 389, 24036, 20094, 4854, 34105, 13672, 1829, 31439, 2423, 39184, 363, 12, 51, 701, 2423, 39184, 363, 12, 51, 701, 4032, 2423, 39184, 389, 24036, 20094, 4854, 4724, 1829, 3794, 995, 22488, 14407, 8978, 18863, 2304, 20292, 9307, 29538, 13672, 1829, 31439, 2423, 10808, 4032, 2423, 8969, 313, 4032, 2423, 1103, 302, 313, 2423, 39184, 363, 12, 51, 701, 5551, 4117, 25708, 3714, 43500, 25894, 24793, 8978, 2423, 8149, 8978, 2423, 8149, 11933, 15730, 25961, 8149, 568, 2423, 8149, 4592, 1185, 6225, 8592, 7649, 7251, 25957, 1211, 8186, 278, 15844, 2423, 8020, 5296, 10721, 4724, 1829, 14851, 9778, 40448, 2423, 363, 12, 51, 4856, 2423, 363, 12, 51, 4856, 39896, 2423, 41779, 26895, 3660, 16247, 3794, 32277, 10632], "avg_logprob": -0.1798812022879104, "compression_ratio": 1.8333333333333333, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 78.87, "end": 79.31, "word": "الـ", "probability": 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"temperature": 1.0}, {"id": 12, "seek": 33618, "start": 321.9, "end": 336.18, "text": "لو انا مثلا بدي ادور على عنصر ال key تلاتة و أربعين تلاتة و أربعين ماشي بدي ابحث في ال keys اللي في ال route تلاتة و أربعين اكبر من عشرين اصلا من واحد و خمسين بدي اتجه في هذا الاتجاه", "tokens": [1211, 2407, 1975, 8315, 50113, 15040, 4724, 16254, 1975, 3215, 13063, 15844, 18871, 9381, 2288, 2423, 2141, 6055, 1211, 9307, 3660, 4032, 5551, 25513, 3615, 9957, 6055, 1211, 9307, 3660, 4032, 5551, 25513, 3615, 9957, 3714, 33599, 1829, 4724, 16254, 48127, 5016, 12984, 8978, 2423, 9317, 13672, 1829, 8978, 2423, 7955, 6055, 1211, 9307, 3660, 4032, 5551, 25513, 3615, 9957, 1975, 4117, 26890, 9154, 6225, 46309, 9957, 1975, 9381, 15040, 9154, 36764, 24401, 4032, 16490, 2304, 3794, 9957, 4724, 16254, 1975, 2655, 7435, 3224, 8978, 23758, 2423, 9307, 7435, 40294], "avg_logprob": -0.2342032993232811, "compression_ratio": 1.8795180722891567, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 321.9, "end": 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"temperature": 1.0}, {"id": 16, "seek": 44822, "start": 425.96, "end": 448.22, "text": "interposed يعني يتخللها اللي هو in pointers to the notes to the notes children واضح مافيش اشي جديد هنا طيب okay آخر برضه كمان تلت ملاحظات انه انا ال tree بيوجه في الها order", "tokens": [5106, 79, 1744, 37495, 22653, 7251, 2655, 9778, 1211, 1211, 11296, 13672, 1829, 31439, 294, 44548, 281, 264, 5570, 281, 264, 5570, 2227, 4032, 46958, 5016, 19446, 41185, 8592, 1975, 8592, 1829, 10874, 16254, 3215, 34105, 23032, 1829, 3555, 1392, 19753, 34740, 4724, 43042, 3224, 9122, 2304, 7649, 6055, 1211, 2655, 3714, 15040, 5016, 19913, 9307, 16472, 3224, 1975, 8315, 2423, 4230, 4724, 1829, 29245, 3224, 8978, 2423, 11296, 1668], "avg_logprob": -0.2563820338585007, "compression_ratio": 1.4078212290502794, "no_speech_prob": 0.0, "words": [{"start": 425.96000000000004, "end": 426.66, "word": "interposed", "probability": 0.6710611979166666}, {"start": 426.66, "end": 427.0, "word": " يعني", "probability": 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432.44, "end": 433.48, "word": " واضح", "probability": 0.9435221354166666}, {"start": 433.48, "end": 433.84, "word": " مافيش", "probability": 0.9484049479166666}, {"start": 433.84, "end": 434.08, "word": " اشي", "probability": 0.7696126302083334}, {"start": 434.08, "end": 434.4, "word": " جديد", "probability": 0.9737955729166666}, {"start": 434.4, "end": 434.98, "word": " هنا", "probability": 0.98291015625}, {"start": 434.98, "end": 441.18, "word": " طيب", "probability": 0.8704427083333334}, {"start": 441.18, "end": 441.66, "word": " okay", "probability": 0.471923828125}, {"start": 441.66, "end": 443.66, "word": " آخر", "probability": 0.921630859375}, {"start": 443.66, "end": 443.94, "word": " برضه", "probability": 0.9568684895833334}, {"start": 443.94, "end": 444.26, "word": " كمان", "probability": 0.97802734375}, {"start": 444.26, "end": 445.68, "word": " تلت", "probability": 0.7360026041666666}, {"start": 445.68, "end": 446.14, "word": " ملاحظات", "probability": 0.9875}, {"start": 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"start": 969.67, "end": 994.39, "text": "تمام؟ و .. و أجت الجديد اللي 65 واضح فال smallest بدي أعمله copy كإيش؟ ك .. ك parent تمام؟ بس و بعد ما بدي أشوف هذا ال parent بدي أيضا كمان أدمجه بال existing parent فبدي أعمله copy على طول على فوق في وسع فوق", "tokens": [39237, 10943, 22807, 4032, 4386, 4032, 5551, 7435, 2655, 25724, 16254, 3215, 13672, 1829, 11624, 4032, 46958, 5016, 6156, 6027, 16998, 4724, 16254, 5551, 25957, 43761, 5055, 9122, 28814, 1829, 8592, 22807, 9122, 4386, 9122, 2596, 46811, 10943, 22807, 4724, 3794, 4032, 39182, 19446, 4724, 16254, 5551, 8592, 38688, 23758, 2423, 2596, 4724, 16254, 36632, 11242, 995, 9122, 2304, 7649, 5551, 40448, 7435, 3224, 20666, 6741, 2596, 6156, 3555, 16254, 5551, 25957, 43761, 5055, 15844, 23032, 12610, 15844, 6156, 30543, 8978, 46952, 3615, 6156, 30543], "avg_logprob": -0.20185319576845612, "compression_ratio": 1.6395939086294415, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 969.67, "end": 970.39, "word": "تمام؟", 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0.9392903645833334}, {"start": 976.69, "end": 977.09, "word": " copy", "probability": 0.953125}, {"start": 977.09, "end": 978.57, "word": " كإيش؟", "probability": 0.745263671875}, {"start": 978.57, "end": 978.73, "word": " ك", "probability": 0.970703125}, {"start": 978.73, "end": 978.83, "word": " ..", "probability": 0.40185546875}, {"start": 978.83, "end": 979.05, "word": " ك", "probability": 0.99072265625}, {"start": 979.05, "end": 979.51, "word": " parent", "probability": 0.890625}, {"start": 979.51, "end": 982.25, "word": " تمام؟", "probability": 0.9347330729166666}, {"start": 982.25, "end": 982.49, "word": " بس", "probability": 0.9658203125}, {"start": 982.49, "end": 982.63, "word": " و", "probability": 0.4892578125}, {"start": 982.63, "end": 982.89, "word": " بعد", "probability": 0.9638671875}, {"start": 982.89, "end": 983.09, "word": " ما", "probability": 0.93017578125}, {"start": 983.09, "end": 983.61, "word": " بدي", "probability": 0.5631103515625}, {"start": 983.61, "end": 983.87, "word": " أشوف", "probability": 0.87109375}, {"start": 983.87, "end": 984.03, "word": " هذا", "probability": 0.8544921875}, {"start": 984.03, "end": 984.19, "word": " ال", "probability": 0.95849609375}, {"start": 984.19, "end": 984.51, "word": " parent", "probability": 0.9599609375}, {"start": 984.51, "end": 985.33, "word": " بدي", "probability": 0.921142578125}, {"start": 985.33, "end": 985.99, "word": " أيضا", "probability": 0.90771484375}, {"start": 985.99, "end": 986.21, "word": " كمان", "probability": 0.82861328125}, {"start": 986.21, "end": 986.83, "word": " أدمجه", "probability": 0.9803466796875}, {"start": 986.83, "end": 987.39, "word": " بال", "probability": 0.9921875}, {"start": 987.39, "end": 987.89, "word": " existing", "probability": 0.92041015625}, {"start": 987.89, "end": 988.43, "word": " parent", "probability": 0.95654296875}, {"start": 988.43, "end": 989.15, "word": " فبدي", "probability": 0.8499348958333334}, {"start": 989.15, "end": 989.41, "word": " أعمله", "probability": 0.9669596354166666}, {"start": 989.41, "end": 989.69, "word": " copy", "probability": 0.98779296875}, {"start": 989.69, "end": 989.89, "word": " على", "probability": 0.9384765625}, {"start": 989.89, "end": 990.25, "word": " طول", "probability": 0.99365234375}, {"start": 990.25, "end": 991.21, "word": " على", "probability": 0.86181640625}, {"start": 991.21, "end": 991.73, "word": " فوق", "probability": 0.972412109375}, {"start": 991.73, "end": 993.71, "word": " في", "probability": 0.828125}, {"start": 993.71, "end": 994.03, "word": " وسع", "probability": 0.80126953125}, {"start": 994.03, "end": 994.39, "word": " فوق", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 38, "seek": 102208, "start": 995.24, "end": 1022.08, "text": "صح؟ وفي كمان لسه خان فاضي كمان لو في split أخرى 68 أنا أسف 68 okay الآن طالما في وسع خلاص مافي أي مشكلة لكن لو مافيش وسع بدي أكرر عملية ال split و أرحل مظبوط؟ الآن في ال parent nodes لما بنعمل split مش محتاج نعمل copy okay", "tokens": [9381, 5016, 22807, 4032, 41185, 9122, 2304, 7649, 5296, 3794, 3224, 16490, 7649, 6156, 46958, 1829, 9122, 2304, 7649, 45164, 8978, 7472, 5551, 34740, 7578, 23317, 41850, 5551, 3794, 5172, 23317, 1392, 6024, 48506, 23032, 6027, 15042, 8978, 46952, 3615, 16490, 1211, 33546, 19446, 41185, 36632, 37893, 28820, 3660, 44381, 45164, 19446, 41185, 8592, 46952, 3615, 4724, 16254, 5551, 37983, 2288, 6225, 42213, 10632, 2423, 7472, 4032, 5551, 2288, 5016, 1211, 3714, 19913, 3555, 2407, 9566, 22807, 6024, 48506, 8978, 2423, 2596, 13891, 5296, 15042, 44945, 25957, 1211, 7472, 37893, 3714, 33753, 26108, 8717, 25957, 1211, 5055, 1392], "avg_logprob": -0.21385732082405476, "compression_ratio": 1.6777251184834123, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 995.24, "end": 995.76, "word": "صح؟", "probability": 0.5910237630208334}, {"start": 995.76, "end": 995.94, "word": " وفي", "probability": 0.692138671875}, {"start": 995.94, "end": 996.26, "word": " كمان", "probability": 0.8567708333333334}, {"start": 996.26, "end": 996.54, "word": " لسه", "probability": 0.8219401041666666}, {"start": 996.54, "end": 996.82, "word": " خان", "probability": 0.948974609375}, {"start": 996.82, "end": 997.2, "word": " فاضي", "probability": 0.91455078125}, {"start": 997.2, "end": 997.46, "word": " كمان", "probability": 0.8014322916666666}, {"start": 997.46, "end": 997.62, "word": " لو", "probability": 0.93505859375}, {"start": 997.62, "end": 997.96, "word": " في", "probability": 0.94775390625}, {"start": 997.96, "end": 998.92, "word": " split", "probability": 0.5146484375}, {"start": 998.92, "end": 999.86, "word": " أخرى", "probability": 0.9366861979166666}, {"start": 999.86, "end": 1000.9, "word": " 68", "probability": 0.37109375}, {"start": 1000.9, "end": 1001.14, "word": " أنا", "probability": 0.73974609375}, {"start": 1001.14, "end": 1001.74, "word": " أسف", "probability": 0.812255859375}, {"start": 1001.74, "end": 1002.4, "word": " 68", "probability": 0.7568359375}, {"start": 1002.4, "end": 1003.92, "word": " okay", "probability": 0.42041015625}, {"start": 1003.92, "end": 1004.58, "word": " الآن", "probability": 0.6558837890625}, {"start": 1004.58, "end": 1005.1, "word": " طالما", "probability": 0.8671875}, {"start": 1005.1, "end": 1005.26, "word": " في", "probability": 0.84912109375}, {"start": 1005.26, "end": 1005.72, "word": " وسع", "probability": 0.904541015625}, {"start": 1005.72, "end": 1006.36, "word": " خلاص", "probability": 0.97119140625}, {"start": 1006.36, "end": 1007.64, "word": " مافي", "probability": 0.768310546875}, {"start": 1007.64, "end": 1007.86, "word": " أي", "probability": 0.39697265625}, {"start": 1007.86, "end": 1008.52, "word": " مشكلة", "probability": 0.9918619791666666}, {"start": 1008.52, "end": 1009.02, "word": " لكن", "probability": 0.87646484375}, {"start": 1009.02, "end": 1009.18, "word": " لو", "probability": 0.95166015625}, {"start": 1009.18, "end": 1009.52, "word": " مافيش", "probability": 0.9602864583333334}, {"start": 1009.52, "end": 1009.84, "word": " وسع", "probability": 0.972900390625}, {"start": 1009.84, "end": 1010.14, "word": " بدي", "probability": 0.647705078125}, {"start": 1010.14, "end": 1010.5, "word": " أكرر", "probability": 0.82373046875}, {"start": 1010.5, "end": 1010.82, "word": " عملية", "probability": 0.9905598958333334}, {"start": 1010.82, "end": 1011.0, "word": " ال", "probability": 0.76416015625}, {"start": 1011.0, "end": 1011.26, "word": " split", "probability": 0.72216796875}, {"start": 1011.26, "end": 1011.46, "word": " و", "probability": 0.982421875}, {"start": 1011.46, "end": 1011.9, "word": " أرحل", "probability": 0.82977294921875}, {"start": 1011.9, "end": 1014.12, "word": " مظبوط؟", "probability": 0.8307291666666666}, {"start": 1014.12, "end": 1014.82, "word": " الآن", "probability": 0.78173828125}, {"start": 1014.82, "end": 1015.0, "word": " في", "probability": 0.966796875}, {"start": 1015.0, "end": 1015.1, "word": " ال", "probability": 0.927734375}, {"start": 1015.1, "end": 1015.32, "word": " parent", "probability": 0.7548828125}, {"start": 1015.32, "end": 1015.82, "word": " nodes", "probability": 0.441162109375}, {"start": 1015.82, "end": 1016.04, "word": " لما", "probability": 0.93505859375}, {"start": 1016.04, "end": 1016.44, "word": " بنعمل", "probability": 0.9461263020833334}, {"start": 1016.44, "end": 1017.1, "word": " split", "probability": 0.92919921875}, {"start": 1017.1, "end": 1019.3, "word": " مش", "probability": 0.57421875}, {"start": 1019.3, "end": 1019.62, "word": " محتاج", "probability": 0.9825846354166666}, {"start": 1019.62, "end": 1019.88, "word": " نعمل", "probability": 0.9664713541666666}, {"start": 1019.88, "end": 1020.26, "word": " copy", "probability": 0.9638671875}, {"start": 1020.26, "end": 1022.08, "word": " okay", "probability": 0.8330078125}], "temperature": 1.0}, {"id": 39, "seek": 104773, "start": 1023.85, "end": 1047.73, "text": "فخلاصة الأمر انه هي ال procedure لل insertion first طبعا بنعمل search بنضيف if there is a .. sorry we apply a search procedure to the new records key", "tokens": [5172, 9778, 1211, 33546, 3660, 16247, 29973, 16472, 3224, 39896, 2423, 10747, 24976, 8969, 313, 700, 23032, 3555, 3615, 995, 44945, 25957, 1211, 3164, 44945, 11242, 33911, 498, 456, 307, 257, 4386, 2597, 321, 3079, 257, 3164, 10747, 281, 264, 777, 7724, 2141], "avg_logprob": -0.3029119379141114, "compression_ratio": 1.2364864864864864, "no_speech_prob": 0.0, "words": [{"start": 1023.8499999999999, "end": 1024.85, "word": "فخلاصة", "probability": 0.7828125}, {"start": 1024.85, "end": 1025.27, "word": " الأمر", "probability": 0.901611328125}, {"start": 1025.27, "end": 1026.17, "word": " انه", "probability": 0.27435302734375}, {"start": 1026.17, "end": 1026.67, "word": " هي", "probability": 0.54736328125}, {"start": 1026.67, "end": 1027.19, "word": " ال", "probability": 0.95654296875}, {"start": 1027.19, "end": 1027.91, "word": " procedure", "probability": 0.89892578125}, {"start": 1027.91, "end": 1031.13, "word": " لل", "probability": 0.57177734375}, {"start": 1031.13, "end": 1032.15, "word": " insertion", "probability": 0.956787109375}, {"start": 1032.15, "end": 1036.05, "word": " first", "probability": 0.1776123046875}, {"start": 1036.05, "end": 1036.51, "word": " طبعا", "probability": 0.985107421875}, {"start": 1036.51, "end": 1037.19, "word": " بنعمل", "probability": 0.8904622395833334}, {"start": 1037.19, "end": 1037.77, "word": " search", "probability": 0.89501953125}, {"start": 1037.77, "end": 1039.53, "word": " بنضيف", "probability": 0.83544921875}, {"start": 1039.53, "end": 1041.79, "word": " if", "probability": 0.77392578125}, {"start": 1041.79, "end": 1042.05, "word": " there", "probability": 0.91552734375}, {"start": 1042.05, "end": 1042.31, "word": " is", "probability": 0.96142578125}, {"start": 1042.31, "end": 1042.87, "word": " a", "probability": 0.61181640625}, {"start": 1042.87, "end": 1043.65, "word": " ..", "probability": 0.50341796875}, {"start": 1043.65, "end": 1043.99, "word": " sorry", "probability": 0.5947265625}, {"start": 1043.99, "end": 1044.83, "word": " we", "probability": 0.440673828125}, {"start": 1044.83, "end": 1045.27, "word": " apply", "probability": 0.93408203125}, {"start": 1045.27, "end": 1045.53, "word": " a", "probability": 0.853515625}, {"start": 1045.53, "end": 1045.77, "word": " search", "probability": 0.97119140625}, {"start": 1045.77, "end": 1046.21, "word": " procedure", "probability": 0.9482421875}, {"start": 1046.21, "end": 1046.47, "word": " to", "probability": 0.970703125}, {"start": 1046.47, "end": 1046.61, "word": " the", "probability": 0.88671875}, {"start": 1046.61, "end": 1046.79, "word": " new", "probability": 0.86669921875}, {"start": 1046.79, "end": 1047.29, "word": " records", "probability": 0.79736328125}, {"start": 1047.29, "end": 1047.73, "word": " key", "probability": 0.9423828125}], "temperature": 1.0}, {"id": 40, "seek": 107795, "start": 1048.49, "end": 1077.95, "text": "to find the appropriate leaf فلجينا ال appropriate leaf if there is room بنحطها و خلاص بنتهي الأمر بس هو يعني اذا ايش يعني room يعني نفترض انه كان بس ال 60 و 68 فروحنا حاطينها بالنص و خلاص محتاجناش نعمل split لأن في وسائلها ماتجاوزناش ال order انما هنا اتجاوزنا ال order فإيش بنصير", "tokens": [1353, 915, 264, 6854, 10871, 6156, 1211, 7435, 1829, 8315, 2423, 6854, 10871, 498, 456, 307, 1808, 44945, 5016, 9566, 11296, 4032, 16490, 1211, 33546, 4724, 29399, 3224, 1829, 16247, 29973, 4724, 3794, 31439, 37495, 22653, 1975, 15730, 1975, 1829, 8592, 37495, 22653, 1808, 37495, 22653, 8717, 5172, 2655, 43042, 16472, 3224, 25961, 4724, 3794, 2423, 4060, 4032, 23317, 6156, 32887, 5016, 8315, 11331, 41193, 9957, 11296, 20666, 1863, 9381, 4032, 16490, 1211, 33546, 3714, 33753, 26108, 1863, 33599, 8717, 25957, 1211, 7472, 5296, 33456, 8978, 46952, 16373, 1211, 11296, 3714, 9307, 7435, 995, 2407, 11622, 1863, 33599, 2423, 1668, 16472, 15042, 34105, 1975, 2655, 7435, 995, 2407, 11622, 8315, 2423, 1668, 6156, 28814, 1829, 8592, 44945, 9381, 13546], "avg_logprob": -0.21445312052965165, "compression_ratio": 1.7182539682539681, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1048.49, "end": 1048.69, "word": "to", "probability": 0.490478515625}, {"start": 1048.69, "end": 1049.17, "word": " find", "probability": 0.91162109375}, {"start": 1049.17, "end": 1049.85, "word": " the", "probability": 0.81396484375}, {"start": 1049.85, "end": 1050.37, "word": " appropriate", "probability": 0.83154296875}, {"start": 1050.37, "end": 1050.89, "word": " leaf", "probability": 0.85009765625}, {"start": 1050.89, "end": 1051.47, "word": " فلجينا", "probability": 0.81689453125}, {"start": 1051.47, "end": 1051.55, "word": " ال", "probability": 0.7119140625}, {"start": 1051.55, "end": 1051.91, "word": " appropriate", "probability": 0.47607421875}, {"start": 1051.91, "end": 1052.37, "word": " leaf", "probability": 0.85302734375}, {"start": 1052.37, "end": 1052.69, "word": " if", "probability": 0.2100830078125}, {"start": 1052.69, "end": 1052.93, "word": " there", "probability": 0.92578125}, {"start": 1052.93, "end": 1053.11, "word": " is", "probability": 0.880859375}, {"start": 1053.11, "end": 1053.49, "word": " room", "probability": 0.927734375}, {"start": 1053.49, "end": 1054.21, "word": " بنحطها", "probability": 0.879150390625}, {"start": 1054.21, "end": 1054.35, "word": " و", "probability": 0.97607421875}, {"start": 1054.35, "end": 1054.59, "word": " خلاص", "probability": 0.8440755208333334}, {"start": 1054.59, "end": 1054.95, "word": " بنتهي", "probability": 0.863525390625}, {"start": 1054.95, "end": 1055.31, "word": " الأمر", "probability": 0.7486572265625}, {"start": 1055.31, "end": 1056.01, "word": " بس", "probability": 0.966064453125}, {"start": 1056.01, "end": 1056.27, "word": " هو", "probability": 0.97509765625}, {"start": 1056.27, "end": 1056.69, "word": " يعني", "probability": 0.903076171875}, {"start": 1056.69, "end": 1057.01, "word": " اذا", "probability": 0.75341796875}, {"start": 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1064.11, "word": " فروحنا", "probability": 0.87255859375}, {"start": 1064.11, "end": 1064.55, "word": " حاطينها", "probability": 0.8240966796875}, {"start": 1064.55, "end": 1065.19, "word": " بالنص", "probability": 0.9544270833333334}, {"start": 1065.19, "end": 1067.77, "word": " و", "probability": 0.91796875}, {"start": 1067.77, "end": 1068.17, "word": " خلاص", "probability": 0.9319661458333334}, {"start": 1068.17, "end": 1069.83, "word": " محتاجناش", "probability": 0.798828125}, {"start": 1069.83, "end": 1070.09, "word": " نعمل", "probability": 0.9952799479166666}, {"start": 1070.09, "end": 1070.53, "word": " split", "probability": 0.92529296875}, {"start": 1070.53, "end": 1071.27, "word": " لأن", "probability": 0.780029296875}, {"start": 1071.27, "end": 1071.41, "word": " في", "probability": 0.517578125}, {"start": 1071.41, "end": 1072.31, "word": " وسائلها", "probability": 0.82861328125}, {"start": 1072.31, "end": 1073.83, "word": " ماتجاوزناش", "probability": 0.8236083984375}, 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نصين طلعنا النصين على ال new node okay و بعد هيك ايش بنسوي ال smallest key سميه هنا K K Prime بناخده", "tokens": [5172, 995, 498, 456, 307, 572, 1808, 337, 264, 2136, 264, 10871, 307, 7472, 294, 1922, 28239, 9381, 37495, 22653, 538, 538, 7750, 257, 1150, 1922, 295, 264, 2136, 281, 257, 777, 9984, 1150, 1922, 37495, 22653, 8032, 2304, 5551, 25513, 3615, 8717, 9381, 9957, 23032, 1211, 3615, 8315, 28239, 9381, 9957, 15844, 2423, 777, 9984, 1392, 4032, 39182, 39896, 4117, 1975, 1829, 8592, 44945, 3794, 45865, 2423, 16998, 2141, 8608, 2304, 1829, 3224, 34105, 591, 591, 9655, 44945, 47283, 3215, 3224], "avg_logprob": -0.23776355565312396, "compression_ratio": 1.5258215962441315, "no_speech_prob": 1.7881393432617188e-07, "words": [{"start": 1079.02, "end": 1079.32, "word": "فا", "probability": 0.2974853515625}, {"start": 1079.32, "end": 1079.96, "word": " if", "probability": 0.357421875}, {"start": 1079.96, "end": 1080.16, "word": " there", "probability": 0.9208984375}, {"start": 1080.16, 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0.8897705078125}, {"start": 1101.98, "end": 1102.16, "word": " هنا", "probability": 0.9892578125}, {"start": 1102.16, "end": 1102.38, "word": " K", "probability": 0.54736328125}, {"start": 1102.38, "end": 1102.72, "word": " K", "probability": 0.53466796875}, {"start": 1102.72, "end": 1103.18, "word": " Prime", "probability": 0.41455078125}, {"start": 1103.18, "end": 1104.46, "word": " بناخده", "probability": 0.915771484375}], "temperature": 1.0}, {"id": 42, "seek": 113428, "start": 1105.7, "end": 1134.28, "text": "in the new node بناخده بنرحله على ال ال old parent وهذا العملية بنعملها recursively على ال upper parents وصولها إلى ال parent ال parent برضه إذا تجاوز بنعمله split و بنعمل parent جديد طيب okay ال deletion مش معانا هنا في ال section هذا", "tokens": [259, 264, 777, 9984, 44945, 47283, 3215, 3224, 44945, 2288, 5016, 43761, 15844, 2423, 2423, 1331, 2596, 37037, 15730, 18863, 42213, 10632, 44945, 25957, 1211, 11296, 20560, 3413, 15844, 2423, 6597, 3152, 4032, 9381, 12610, 11296, 30731, 2423, 2596, 2423, 2596, 4724, 43042, 3224, 11933, 15730, 6055, 7435, 995, 2407, 11622, 44945, 25957, 43761, 7472, 4032, 44945, 25957, 1211, 2596, 10874, 16254, 3215, 23032, 1829, 3555, 1392, 2423, 1103, 302, 313, 37893, 20449, 7649, 995, 34105, 8978, 2423, 3541, 23758], "avg_logprob": -0.23823302469135801, "compression_ratio": 1.7258883248730965, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1105.7, "end": 1105.94, "word": "in", "probability": 0.11322021484375}, {"start": 1105.94, "end": 1106.08, "word": " the", "probability": 0.85498046875}, {"start": 1106.08, "end": 1106.26, "word": " new", "probability": 0.84423828125}, {"start": 1106.26, "end": 1106.56, "word": " node", "probability": 0.8720703125}, {"start": 1106.56, "end": 1107.78, "word": " بناخده", "probability": 0.578643798828125}, {"start": 1107.78, "end": 1110.1, "word": " بنرحله", "probability": 0.75091552734375}, {"start": 1110.1, "end": 1110.78, "word": " على", "probability": 0.89990234375}, {"start": 1110.78, "end": 1111.32, "word": " ال", "probability": 0.9619140625}, {"start": 1111.32, "end": 1112.08, "word": " ال", "probability": 0.377685546875}, {"start": 1112.08, "end": 1112.4, "word": " old", "probability": 0.3857421875}, {"start": 1112.4, "end": 1113.02, "word": " parent", "probability": 0.94873046875}, {"start": 1113.02, "end": 1114.98, "word": " وهذا", "probability": 0.637451171875}, {"start": 1114.98, "end": 1115.54, "word": " العملية", "probability": 0.9837239583333334}, {"start": 1115.54, "end": 1117.64, "word": " بنعملها", "probability": 0.9466552734375}, {"start": 1117.64, "end": 1118.24, "word": " recursively", "probability": 0.902587890625}, {"start": 1118.24, "end": 1118.48, "word": " على", "probability": 0.85693359375}, {"start": 1118.48, "end": 1118.66, "word": " ال", "probability": 0.9482421875}, {"start": 1118.66, "end": 1118.98, "word": " upper", "probability": 0.7568359375}, {"start": 1118.98, "end": 1120.3, "word": " parents", "probability": 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0.8046875}, {"start": 1125.68, "end": 1126.02, "word": " بنعمل", "probability": 0.85498046875}, {"start": 1126.02, "end": 1126.38, "word": " parent", "probability": 0.80517578125}, {"start": 1126.38, "end": 1127.32, "word": " جديد", "probability": 0.9873046875}, {"start": 1127.32, "end": 1128.3, "word": " طيب", "probability": 0.841796875}, {"start": 1128.3, "end": 1129.36, "word": " okay", "probability": 0.480712890625}, {"start": 1129.36, "end": 1130.8, "word": " ال", "probability": 0.92236328125}, {"start": 1130.8, "end": 1131.52, "word": " deletion", "probability": 0.8694661458333334}, {"start": 1131.52, "end": 1132.72, "word": " مش", "probability": 0.98486328125}, {"start": 1132.72, "end": 1133.1, "word": " معانا", "probability": 0.97998046875}, {"start": 1133.1, "end": 1133.32, "word": " هنا", "probability": 0.9443359375}, {"start": 1133.32, "end": 1133.5, "word": " في", "probability": 0.923828125}, {"start": 1133.5, "end": 1133.64, "word": " ال", "probability": 0.78369140625}, {"start": 1133.64, "end": 1133.94, "word": " section", "probability": 0.9091796875}, {"start": 1133.94, "end": 1134.28, "word": " هذا", "probability": 0.83203125}], "temperature": 1.0}, {"id": 43, "seek": 115759, "start": 1136.28, "end": 1157.6, "text": "Okay وبالتالي خلاص كفاية هيك ال exercises اللي بدنا نطلع عليهم عندنا في ال section سبعة أربعة في ال exercises من تلاتة إلى ستة بتسلمي منهم أربعة وخمسة ماشي أعطيكم المحاضرة جاي طبعا في chapter تمانية نبدأ في chapter تمانية", "tokens": [8297, 46599, 6027, 2655, 6027, 1829, 16490, 1211, 33546, 9122, 5172, 995, 10632, 39896, 4117, 2423, 11900, 13672, 1829, 47525, 8315, 8717, 9566, 1211, 3615, 25894, 16095, 43242, 8315, 8978, 2423, 3541, 8608, 3555, 27884, 5551, 25513, 27884, 8978, 2423, 11900, 9154, 6055, 1211, 9307, 3660, 30731, 8608, 2655, 3660, 39894, 3794, 19528, 1829, 9154, 16095, 5551, 25513, 27884, 4032, 9778, 2304, 3794, 3660, 3714, 33599, 1829, 5551, 3615, 9566, 1829, 24793, 9673, 5016, 46958, 25720, 10874, 47302, 23032, 3555, 3615, 995, 8978, 7187, 46811, 7649, 10632, 8717, 44510, 10721, 8978, 7187, 46811, 7649, 10632], "avg_logprob": -0.18473307602107525, "compression_ratio": 1.7307692307692308, "no_speech_prob": 2.384185791015625e-07, "words": [{"start": 1136.28, "end": 1137.02, "word": "Okay", "probability": 0.56787109375}, {"start": 1137.02, "end": 1137.76, "word": " وبالتالي", "probability": 0.83955078125}, {"start": 1137.76, "end": 1139.86, "word": " خلاص", "probability": 0.9148763020833334}, {"start": 1139.86, "end": 1140.28, "word": " كفاية", "probability": 0.7041015625}, {"start": 1140.28, "end": 1140.68, "word": " هيك", "probability": 0.865478515625}, {"start": 1140.68, "end": 1141.56, "word": " ال", "probability": 0.87158203125}, {"start": 1141.56, "end": 1142.46, "word": " exercises", "probability": 0.95654296875}, {"start": 1142.46, "end": 1142.84, "word": " اللي", "probability": 0.7998046875}, {"start": 1142.84, "end": 1143.08, "word": " بدنا", "probability": 0.82177734375}, {"start": 1143.08, "end": 1143.38, "word": " نطلع", "probability": 0.972900390625}, {"start": 1143.38, "end": 1143.74, "word": " عليهم", "probability": 0.93310546875}, {"start": 1143.74, "end": 1144.06, "word": " عندنا", "probability": 0.94140625}, {"start": 1144.06, "end": 1144.18, "word": " في", "probability": 0.8505859375}, {"start": 1144.18, "end": 1144.24, "word": " ال", "probability": 0.29052734375}, {"start": 1144.24, "end": 1144.44, "word": " section", "probability": 0.87158203125}, {"start": 1144.44, "end": 1144.8, "word": " سبعة", "probability": 0.6866861979166666}, {"start": 1144.8, "end": 1145.3, "word": " أربعة", "probability": 0.8414713541666666}, {"start": 1145.3, "end": 1147.66, "word": " في", "probability": 0.8876953125}, {"start": 1147.66, "end": 1148.02, "word": " ال", "probability": 0.9208984375}, {"start": 1148.02, "end": 1148.5, "word": " exercises", "probability": 0.97900390625}, {"start": 1148.5, "end": 1148.74, "word": " من", "probability": 0.9921875}, {"start": 1148.74, "end": 1149.06, "word": " تلاتة", "probability": 0.9105224609375}, {"start": 1149.06, "end": 1149.14, "word": " إلى", "probability": 0.33642578125}, {"start": 1149.14, "end": 1149.82, "word": " ستة", "probability": 0.9908854166666666}, {"start": 1149.82, "end": 1151.98, "word": " بتسلمي", "probability": 0.850830078125}, {"start": 1151.98, "end": 1152.26, "word": " منهم", "probability": 0.992431640625}, {"start": 1152.26, "end": 1152.52, "word": " أربعة", "probability": 0.900390625}, {"start": 1152.52, "end": 1152.98, "word": " وخمسة", "probability": 0.8775390625}, {"start": 1152.98, "end": 1153.26, "word": " ماشي", "probability": 0.732177734375}, {"start": 1153.26, "end": 1153.64, "word": " أعطيكم", "probability": 0.88388671875}, {"start": 1153.64, "end": 1154.5, "word": " المحاضرة", "probability": 0.88232421875}, {"start": 1154.5, "end": 1154.72, "word": " جاي", "probability": 0.724853515625}, {"start": 1154.72, "end": 1155.2, "word": " طبعا", "probability": 0.966552734375}, {"start": 1155.2, "end": 1155.4, "word": " في", "probability": 0.9814453125}, {"start": 1155.4, "end": 1155.82, "word": " chapter", "probability": 0.86376953125}, {"start": 1155.82, "end": 1156.46, "word": " تمانية", "probability": 0.9361979166666666}, {"start": 1156.46, "end": 1156.82, "word": " نبدأ", "probability": 0.8624674479166666}, {"start": 1156.82, "end": 1156.9, "word": " في", "probability": 0.93798828125}, {"start": 1156.9, "end": 1157.12, "word": " chapter", "probability": 0.82373046875}, {"start": 1157.12, "end": 1157.6, "word": " تمانية", "probability": 0.98486328125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1157.7005, "duration_after_vad": 1098.6106250000003}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a8e9bd15a64f9e19cc3e8e41ed40d21c9fcbd4fe
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os.srt
@@ -0,0 +1,1758 @@
+1
+00:00:20,810 --> 00:00:23,450
+بسم الله الرحمن الرحيم، الصلاة والسلام على أشرف
+
+2
+00:00:23,450 --> 00:00:27,790
+المرسلين. اليوم، إن شاء الله، نبدأ في section
+
+3
+00:00:27,790 --> 00:00:31,490
+عشرة أو ثلاثة، اللي هو الـ maximum matching in
+
+4
+00:00:31,490 --> 00:00:35,750
+bipartite graphs. بس هرجع شوي أكمل لها نقطة صغيرة.
+
+5
+00:00:35,750 --> 00:00:41,290
+في عشرة أو اثنين. طبعًا، بعد ما نخلص عشرة أو ثلاثة، بنكون
+
+6
+00:00:41,290 --> 00:00:43,810
+أخذنا اللي بدنا إياه من هذا الـ chapter، والـ chapter
+
+7
+00:00:43,810 --> 00:00:49,230
+هذا هو آخر chapter معنا، وبالتالي بيكون إن شاء الله ختمنا اللي
+
+8
+00:00:49,230 --> 00:00:52,470
+هو التغطية اللي بناخدها من الـ .. من الـ .. من
+
+9
+00:00:52,470 --> 00:00:56,090
+المواضيع. فخلينا نروح على طول على عشرة اثنين عشان
+
+10
+00:00:56,090 --> 00:00:59,430
+أكمل النقطة اللي ضايعة في .. أو نقطتين اللي
+
+11
+00:00:59,430 --> 00:01:03,990
+ضايلة في الـ maximum flow problem، وبعدها ندخل على
+
+12
+00:01:03,990 --> 00:01:10,880
+عشرة ثلاثة. طيب، إذا بتذكروا الـ maximum flow problem
+
+13
+00:01:10,880 --> 00:01:13,360
+كانت إنها أنا بيبقى في عندي network، الـ network هي
+
+14
+00:01:13,360 --> 00:01:17,800
+عبارة عن graph، الـ graph هذا يحتوي على source و
+
+15
+00:01:17,800 --> 00:01:21,840
+يحتوي على sink، والـ links اللي في الـ graph هذا
+
+16
+00:01:21,840 --> 00:01:28,500
+directed، وعليها إيش؟ عليها الأوزان تبعتها. ف أنا
+
+17
+00:01:28,500 --> 00:01:33,260
+المطلوب مني أوجد أو أحسب الـ maximum flow اللي يمكن
+
+18
+00:01:33,260 --> 00:01:41,080
+للـ source أن يضخه إلى الـ sink، وشوفنا الـ method أو
+
+19
+00:01:41,080 --> 00:01:45,260
+الـ algorithm كيف بتعامل مع هذا الأمر، بأنها بتبحث
+
+20
+00:01:45,260 --> 00:01:56,140
+عن اللي هو الـ flow augmenting path، وكل
+
+21
+00:01:56,140 --> 00:02:01,500
+path نفترض أنه بيحسن في الـ flow، يعني الـ path
+
+22
+00:02:01,500 --> 00:02:06,160
+الأولاني هذا كان الـ flow يساوي اثنين. بعد ذلك عملنا
+
+23
+00:02:06,160 --> 00:02:11,260
+path آخر اللي هو زاد عليه كمان one، وصار ثلاثة.
+
+24
+00:02:11,260 --> 00:02:13,820
+الثلاثة هذه كانت هي الـ maximum، لأنه بعد ذلك
+
+25
+00:02:13,820 --> 00:02:21,380
+ما قدرناش نوجد أي مسارات جديدة. okay. طيب، وقولنا
+
+26
+00:02:21,380 --> 00:02:26,780
+ملاحظة أساسية على هذا الأسلوب، أنه إذا
+
+27
+00:02:26,780 --> 00:02:31,040
+الـ algorithm ما كانش في عنده وسيلة إنه يستكشف
+
+28
+00:02:31,040 --> 00:02:36,640
+المسارات الأفضل. ممكن تدخل في مسارات سيئة، والمسارات السيئة
+
+29
+00:02:36,640 --> 00:02:40,460
+هذه تدخلها في الـ worst case، وهذا قلنا عنه
+
+30
+00:02:40,460 --> 00:02:44,440
+efficiency degradation، إن الـ algorithm تدخل في الـ
+
+31
+00:02:44,440 --> 00:02:51,680
+worst case، بأنها تصل إلى الـ maximum بالتدريج الممل.
+
+32
+00:02:51,680 --> 00:02:56,020
+بالتدريج الممل. في الحالة هذه، كانت كل iteration
+
+33
+00:02:56,020 --> 00:03:00,080
+بتضيف واحد فقط على الـ maximum منه، واحد واحد إلى
+
+34
+00:03:00,080 --> 00:03:05,740
+أن نصل إلى الـ 2U. وقلنا إن هالأمر كان علاجه اللي هو
+
+35
+00:03:05,740 --> 00:03:10,080
+إنه يبقى فيه عندي وسيلة أو algorithm أو method
+
+36
+00:03:10,080 --> 00:03:14,400
+لاستكشاف الـ shortest augmenting path، أو الـ first
+
+37
+00:03:14,400 --> 00:03:18,000
+labelled first scanned algorithm. هذه الـ algorithm
+
+38
+00:03:18,000 --> 00:03:25,340
+هي اللي بتمكننا من استكشاف المسارات الأصلح أولًا. خلينا
+
+39
+00:03:25,340 --> 00:03:27,880
+نطلع على الـ algorithm هذه على السريع. أنا ذكرت
+
+40
+00:03:27,880 --> 00:03:35,760
+المرة اللي فاتت فكرتها بشكل سريع. بدنا نطلع عليها
+
+41
+00:03:35,760 --> 00:03:41,260
+بتفاصيل أكبر شوية. احنا الآن الـ algorithm هذه
+
+42
+00:03:44,540 --> 00:03:48,060
+عمليًا هي بتحل المثال كلها، بمعنى إنها بتلاقي الـ
+
+43
+00:03:48,060 --> 00:03:51,780
+path وبتضيفه خلاص معنا. احنا متى ما لاقينا الـ
+
+44
+00:03:51,780 --> 00:03:56,340
+path هذا، الـ shortest augmenting path، خلاص بنـ .. بنـ
+
+45
+00:03:56,340 --> 00:04:00,940
+.. بناخذ الـ links اللي فيه، وبنضيفها على الـ flow.
+
+46
+00:04:00,940 --> 00:04:05,180
+طيب، كيف قال لي أعملها؟ إن في البداية، خلينا أرسم الـ
+
+47
+00:04:05,180 --> 00:04:09,740
+.. أرسم نفس الـ network .. نفس الـ network اللي
+
+48
+00:04:09,740 --> 00:04:12,600
+اشتغلنا عليها المرة اللي فاتت، اللي هي هذه، إن دي
+
+49
+00:04:12,600 --> 00:04:21,710
+واحد، اثنين، ثلاثة، ستة، خمسة، وأربعة. الـ link من واحد
+
+50
+00:04:21,710 --> 00:04:31,290
+إلى هذه
+
+51
+00:04:31,290 --> 00:04:37,230
+إيش؟ الـ zero إلى خمسة، وهذه الـ zero إلى اثنين.
+
+52
+00:04:56,340 --> 00:05:01,480
+Okay. الـ .. الـ algorithm اللي بتبحث عن الـ .. الـ ..
+
+53
+00:05:01,480 --> 00:05:05,780
+الـ best augmenting path أو الـ shortest augmenting
+
+54
+00:05:05,780 --> 00:05:14,220
+path، بتبدأ من الـ source. أولًا، احنا بدنا نرجع شوية ونـ
+
+55
+00:05:14,220 --> 00:05:18,620
+نقول إن هذا الـ graph ممكن أعمله traversal أو
+
+56
+00:05:18,620 --> 00:05:23,410
+scanning بالـ breadth first search. فبنبص عليه على شكل
+
+57
+00:05:23,410 --> 00:05:28,210
+إن هو tree. يعني، إذا بدخله كـ tree، بروح بحط الواحد
+
+58
+00:05:28,210 --> 00:05:34,670
+هي الـ root، وبتفرع منها إيش؟ الأربعة والاثنين، صح؟
+
+59
+00:05:34,670 --> 00:05:40,810
+دول children. الآن، الاثنين بتفرع منها الثلاثة والخمسة.
+
+60
+00:05:40,810 --> 00:05:44,090
+غض النظر عن من الأول، إيش هذه الـ link؟ هذه الـ zero
+
+61
+00:05:44,090 --> 00:05:50,290
+على ثلاثة. الأربعة، إيش بتفرع منها؟ الثلاثة، صح؟
+
+62
+00:05:51,660 --> 00:05:55,740
+والثلاثة بتفرع منها الستة. الخمسة والثلاثة بتفرع
+
+63
+00:05:55,740 --> 00:06:00,520
+منها الستة. طبعًا، عشان يكون tree، ما بديش أعمل cycles، فبدي
+
+64
+00:06:00,520 --> 00:06:07,500
+أفصلها زي هيك. الآن، مش مهم الـ tree كيف شكلها، المهم
+
+65
+00:06:07,500 --> 00:06:11,580
+كيف الـ queue اللي بده تاخدها الـ breadth first
+
+66
+00:06:11,580 --> 00:06:14,960
+algorithm. هيبقى في عندي الواحد، إيش الـ children
+
+67
+00:06:14,960 --> 00:06:19,680
+بتفرع منها؟ الاثنين والأربعة، صح؟ بعدين إيش بيجي؟
+
+68
+00:06:20,330 --> 00:06:26,270
+الثلاثة والخمسة، صح؟ الاثنين الـ children تبعونها.
+
+69
+00:06:26,270 --> 00:06:32,110
+بعدين الستة. فاحنا هنبدأ من أول واحد في الـ Q اللي
+
+70
+00:06:32,110 --> 00:06:36,750
+هي الـ I، ونشوف إيش الـ I هذه. طبعًا، في البداية الـ
+
+71
+00:06:36,750 --> 00:06:44,810
+algorithm بتقول إيه؟ إنه بتعمل labeling، بتعمل
+
+72
+00:06:44,810 --> 00:06:53,040
+labeling لكل الـ output، إنه zeros، صح؟ هذا من الأساس، و
+
+73
+00:06:53,040 --> 00:06:55,760
+برضه بدي أعمل labeling للـ vertex اللي هو الـ source
+
+74
+00:06:55,760 --> 00:07:02,960
+بإيش؟ infinity، وإيش؟ وناقص الآن.
+
+75
+00:07:02,960 --> 00:07:09,920
+الواحد هذا، بدي أمسكها، الـ node one، بدي أشوف إيش الـ
+
+76
+00:07:09,920 --> 00:07:11,120
+edges اللي طالعة منها.
+
+77
+00:07:19,340 --> 00:07:21,860
+بشوف إيش الـ edges اللي طالعة منها. طالعة منها edge
+
+78
+00:07:21,860 --> 00:07:31,700
+على اثنين، وطالعة منها edge على أربعة، صح؟ الـ link على اثنين، إيش
+
+79
+00:07:31,700 --> 00:07:38,160
+الـ .. الوضع تبعها؟ صفر على اثنين، وعلى أربعة صفر على ثلاثة. okay. هدول
+
+80
+00:07:38,160 --> 00:07:41,200
+الـ edges اللي طالعين من الـ current node اللي أنا
+
+81
+00:07:41,200 --> 00:07:48,330
+مسكتها. الآن بدي أسجل الـ label تبع الـ node تبع الـ I الآن.
+
+82
+00:07:48,330 --> 00:07:53,390
+إيش؟ آه، واحد، اتفقنا عليه، infinity، فبدي أسجل هذا
+
+83
+00:07:53,390 --> 00:07:58,730
+القيمة هنا وهنا، صح؟ الحالتين هذول الـ edges الاثنتين
+
+84
+00:07:58,730 --> 00:08:03,230
+هذول جايات من one، مظبوط؟ فهنا الـ I، يعني الـ label
+
+85
+00:08:03,230 --> 00:08:06,690
+تبع الـ I، الـ I هي one، ففي الحالتين الـ label تبع الـ I هو
+
+86
+00:08:06,690 --> 00:08:14,660
+infinity. الآن بدي أبص على الـ edge من الـ I إلى اثنين، من الـ I
+
+87
+00:08:14,660 --> 00:08:21,020
+إلى أربعة. قد إيش الـ residual capacity تبقى؟ الـ residual اللي هو
+
+88
+00:08:21,020 --> 00:08:28,340
+ذاكرينه؟
+
+89
+00:08:28,340 --> 00:08:31,820
+اللي هو المتبقي حتى الآن، مش مشغول إشي من هدول الـ
+
+90
+00:08:31,820 --> 00:08:38,840
+edges، صفر، صفر. فالمتبقي هو كل الـ capacity، اثنين وثلاثة، صح؟
+
+91
+00:08:38,840 --> 00:08:43,860
+okay. الآن أنا بدي آخذ الـ minimum. الـ minimum ما بين
+
+92
+00:08:43,860 --> 00:08:49,460
+مين؟ الآن
+
+93
+00:08:49,460 --> 00:08:58,300
+بحط label لـ J، الـ J مين؟ اللي ماخدة من الـ I، يعني الـ I
+
+94
+00:08:58,300 --> 00:09:02,660
+ودول الاثنين ماخدين منها. الـ label تبع الـ J بيكون
+
+95
+00:09:02,660 --> 00:09:08,020
+الـ minimum. فاصلة مين؟ اللي هي الـ nodes اللي ماعطيها؟ اللي
+
+96
+00:09:08,020 --> 00:09:12,400
+هي الـ I. ببساطة، هنأخذ الـ minimum.
+
+97
+00:09:15,140 --> 00:09:20,360
+تمام؟ وبعد ذلك، بحط plus أو minus حسب الـ edge هي
+
+98
+00:09:20,360 --> 00:09:24,240
+forward ولا backward. احنا عالنا في الـ graph ده كل
+
+99
+00:09:24,240 --> 00:09:31,560
+الـ edges forward، ما هاد هادي، صح؟ ما هاد هادي، اه.
+
+100
+00:09:31,560 --> 00:09:38,420
+backward، مظبوط؟ مظبوط؟ مظبوط؟ تمام.
+
+101
+00:09:41,760 --> 00:09:44,960
+خليناها الآن هيك على أساس إنه لما نيجي نستكشف اللي
+
+102
+00:09:44,960 --> 00:09:48,880
+ده، هناخده backward. هدول اللي هم اللي بس بدون إن
+
+103
+00:09:48,880 --> 00:09:53,540
+نحطه على الـ node اثنين والـ node أربعة. هاي اثنين، إيش هحط
+
+104
+00:09:53,540 --> 00:10:02,100
+عليها؟ اثنين، واحد forward. الـ plus دي يعني forward، والأربعة
+
+105
+00:10:02,100 --> 00:10:07,660
+ثلاثة، واحد forward. تمام؟
+
+106
+00:10:09,880 --> 00:10:14,020
+هذا الآن الـ Q، أخذنا منه الآن. هذا خلصنا. الآن دور
+
+107
+00:10:14,020 --> 00:10:23,260
+على مين؟ على اثنين. اثنين، الـ label تبعها إيش؟ اثنين
+
+108
+00:10:23,260 --> 00:10:29,500
+واحد forward. طالعة منها edges على مين؟ على ثلاثة
+
+109
+00:10:29,500 --> 00:10:38,440
+وعلى خمسة. على ثلاثة، الـ edge zero، خمسة، وعلى خمسة
+
+110
+00:10:38,440 --> 00:10:38,840
+zero.
+
+111
+00:10:42,980 --> 00:10:49,580
+ثلاثة، صح؟ اه؟ الآن، الـ label تبع الـ I، الـ I هي هذه الـ
+
+112
+00:10:49,580 --> 00:10:55,840
+label تبع إيش؟ اثنين. الـ
+
+113
+00:10:55,840 --> 00:11:03,160
+residual من الـ I إلى ثلاثة، قد إيش المتبقي؟ خمسة. مش مشغول
+
+114
+00:11:03,160 --> 00:11:10,770
+إشي، خمسة، مش مشغول إشي. ثلاثة. الـ minimum. الـ
+
+115
+00:11:10,770 --> 00:11:16,970
+minimum اثنين. الـ label الآن بيكون اثنين. من اثنين
+
+116
+00:11:16,970 --> 00:11:23,010
+forward برضه. اثنين من اثنين forward. اثنين اللي هي
+
+117
+00:11:23,010 --> 00:11:29,690
+الـ minimum من اثنين اللي هي الـ I forward، فنسجل
+
+118
+00:11:29,690 --> 00:11:33,490
+هذا الكلام على ثلاثة. ع ثلاثة إيش؟ وثلاثة آخر، ومن
+
+119
+00:11:33,490 --> 00:11:37,570
+نفسها اثنين، اثنين forward، اثنين واثنين forward.
+
+120
+00:11:37,570 --> 00:11:45,510
+نظيف؟ تمام. الآن هيجي الدور على مين؟ على أربعة. هيجي
+
+121
+00:11:45,510 --> 00:11:51,770
+الدور على أربعة. أربعة، إيش طالعة منها؟ بس الـ edge
+
+122
+00:11:51,770 --> 00:11:55,670
+واحدة على ثلاثة. هي أربعة، الـ label تبعها أربعة. موجود
+
+123
+00:11:55,670 --> 00:12:01,890
+كذا. إيش؟ ثلاثة، واحد forward. okay. الـ edge قلنا بس
+
+124
+00:12:01,890 --> 00:12:09,390
+منها على ثلاثة، وحتى الآن هذا الـ edge زيرو على واحد.
+
+125
+00:12:09,390 --> 00:12:14,130
+لسه احنا قاعدين نستكشف في الـ augmenting path
+
+126
+00:12:14,130 --> 00:12:19,050
+الأولاني، اللي هو هذا. الـ algorithm بتستكشف في الـ
+
+127
+00:12:19,050 --> 00:12:26,230
+path عشان تاخده، وتضيف الـ edges تبعتها، وتعدل
+
+128
+00:12:26,230 --> 00:12:32,930
+الأرقام هذه. لسه إمتى .. إمتى هيبين معايا الـ path
+
+129
+00:12:32,930 --> 00:12:38,830
+لما أصل لستة، لما أصل للـ sink. حتى الآن لسه احنا
+
+130
+00:12:38,830 --> 00:12:46,650
+نستكشف الـ path شوية شوية. قد إيش الـ label تبع الـ I؟ ثلاثة.
+
+131
+00:12:46,650 --> 00:12:57,110
+قد إيش الـ residual من الـ I للـ J؟ واحد، مظبوط؟ ليش واحد؟ هو
+
+132
+00:12:57,110 --> 00:13:00,090
+كل الـ capacity تبع الـ link واحد، ومش ماخوذ منها إشي.
+
+133
+00:13:00,690 --> 00:13:06,290
+ففاضل واحد. كله تمام. الـ minimum واحد. الـ label الآن
+
+134
+00:13:06,290 --> 00:13:13,930
+تبع مين؟ تبع الـ J، عبارة عن capacity واحد من أربعة.
+
+135
+00:13:13,930 --> 00:13:21,790
+forward ولا backward؟ forward. فثلاثة
+
+136
+00:13:21,790 --> 00:13:27,470
+إيش؟ خلينا نعمل labeling لثلاثة.
+
+137
+00:13:27,470 --> 00:13:32,130
+طبعًا، ثلاثة already labelled، خلاص. ده مش شغلة، ما بعملش
+
+138
+00:13:32,130 --> 00:13:36,990
+labeling جديد لواحد already labelled، تمام؟ معلش
+
+139
+00:13:36,990 --> 00:13:41,170
+أشطب هذا كله. بنحط بداله مين؟ مين اللي بيجي عليه
+
+140
+00:13:41,170 --> 00:13:47,250
+أربعة. خلصنا؟ تمام؟ خلي بالك، احنا واقفين على أربعة
+
+141
+00:13:47,250 --> 00:13:53,700
+وبنبص على إيش؟ اللي ماخذ من أربعة، هتلاقي ثلاثة.
+
+142
+00:13:53,700 --> 00:13:57,460
+المفروض، بما إنه ثلاثة already labelled، ما أسوي شيء.
+
+143
+00:13:57,460 --> 00:14:01,360
+بخلص من أربعة وبنتقل الآن على ثلاثة. بنتقل على
+
+144
+00:14:01,360 --> 00:14:04,400
+ثلاثة عشان إيش؟ مش عشان أعملها labeling، هي عشان
+
+145
+00:14:04,400 --> 00:14:07,020
+أشوف مين اللي ماخذ منها، أعمله labeling. مين اللي
+
+146
+00:14:07,020 --> 00:14:11,560
+ماخذ منها؟ ستة. الآن، يفترض خلاص، هذه الستة أعملها
+
+147
+00:14:11,560 --> 00:14:17,040
+labeling، مظبوط الكلام؟ هنحط إيش؟ ثلاثة. الآن، هي الـ I هنا.
+
+148
+00:14:17,040 --> 00:14:17,320
+هنا
+
+149
+00:14:20,080 --> 00:14:23,720
+ثلاثة. ثلاثة، إيش الـ label تبعها؟ اثنين، واثنين
+
+150
+00:14:23,720 --> 00:14:30,840
+forward. ماضية لمين؟ لستة. إيش وضع الـ link؟ زيرو على اثنين. إيش الـ label تبع ثلاثة؟ اثنين. إيش الـ
+
+151
+00:14:30,840 --> 00:14:36,480
+residual؟ اثنين. مقل صفر، اثنين. إيش الـ minimum؟
+
+152
+00:14:36,480 --> 00:14:40,680
+اثنين. إيش الـ labeling الأمثل يكون؟ اثنين. هذه اللي
+
+153
+00:14:40,680 --> 00:14:44,080
+هي الـ minimum، اثنين، وجاية من ثلاثة forward، صح؟
+
+154
+00:14:44,080 --> 00:14:52,520
+اثنين جاية من ثلاثة forward. okay. الآن تم labeling
+
+155
+00:14:52,520 --> 00:14:56,620
+للسنك. يبقى استكشاف المسارات خلص. إتعرف إنه في مسار
+
+156
+00:14:56,620 --> 00:15:04,540
+لأن احنا بدأنا من الـ source وانتهينا عند الـ sink.
+
+157
+00:15:04,540 --> 00:15:09,120
+إتعرف الـ capacity تبعت هذا المسار. ليه هذا؟ الـ label
+
+158
+00:15:09,120 --> 00:15:15,440
+اللي أخذته الستة، اللي أخذته الخمسة، يحتوي على الـ .. الـ
+
+159
+00:15:15,440 --> 00:15:21,220
+.. الـ first label فيه، الجزء الأولاني منه، هو إيش؟
+
+160
+00:15:21,220 --> 00:15:25,760
+الـ capacity تبع هذا المسار هي اثنين. إذا، طب المسار هو
+
+161
+00:15:25,760 --> 00:15:29,340
+إيش؟ بتكون من إيش؟ إيش القنوات اللي داخلة فيه؟
+
+162
+00:15:29,340 --> 00:15:33,800
+بعرفها بالرجوع، backtracking، من ستة إلى ثلاثة، من ثلاثة إلى من
+
+163
+00:15:33,800 --> 00:15:41,020
+ثلاثة إلى
+
+164
+00:15:41,020 --> 00:15:43,440
+ثلاثة إلى
+
+165
+00:15:45,520 --> 00:15:50,980
+من اثنين إلى واحد. okay. فبهذه الحالة، الـ algorithm
+
+166
+00:15:50,980 --> 00:15:55,460
+بتكون استكشفت المسار، حددت الـ capacity تبعتها، وخلاص.
+
+167
+00:15:55,460 --> 00:16:02,640
+الآن جاهزين إن احنا نعمل update لمين؟ للـ .. للـ
+
+168
+00:16:02,640 --> 00:16:06,760
+network. إيش update؟ كل الـ links اللي داخلة، كل
+
+169
+00:16:06,760 --> 00:16:11,000
+القنوات اللي داخلة في
+
+223
+00:21:02,790 --> 00:21:08,390
+ثلاثة ثلاثة ال label الثاني بينما أعطيها ثلاثة
+
+224
+00:21:08,390 --> 00:21:14,110
+أربعة بينما أعطيها أربعة واحد okay؟ وبين القائمة
+
+225
+00:21:14,110 --> 00:21:18,430
+الـ الـ الـ الثابتة أو يعني الخطوات تتم
+
+226
+00:21:18,430 --> 00:21:24,050
+استكشاف المصار وبتم إيش تحديد ال capacity  تبعها
+
+227
+00:21:24,050 --> 00:21:29,810
+وبيتم updating للـ إيش للـ edges بعد ما ينعمل update
+
+228
+00:21:29,810 --> 00:21:37,700
+الآن okay؟ لحظة أنه لو أنا انحجز الواحد أنا بتاخد
+
+229
+00:21:37,700 --> 00:21:41,240
+الواحد اللي أنا بتعيد الكرة من جديد لمن؟ للوضع
+
+230
+00:21:41,240 --> 00:21:46,800
+اللي عندي هي عندي الواحد مين بتفرع منها؟ هذا قلنا
+
+231
+00:21:46,800 --> 00:21:54,680
+already full في عندي أربعة أربعة مين بتفرع منها؟
+
+232
+00:21:54,680 --> 00:21:58,140
+فش للتلاتة و already full يبقى مفيش ال three وقفت
+
+233
+00:21:58,140 --> 00:22:03,600
+عليك ال three وقفت عليك اللي أنا بتاخدهم بدي أخدهم
+
+234
+00:22:03,600 --> 00:22:12,300
+في ال queue بس الواحد و الأربعة هأخذ الواحد هاسم
+
+235
+00:22:12,300 --> 00:22:17,980
+ال label تبعي الأربعة بعد كده من الأربعة بدي أشوف
+
+236
+00:22:17,980 --> 00:22:23,800
+إيش ال edges اللي بتطلع منها مش هلاقي لأنه فشي
+
+237
+00:22:23,800 --> 00:22:28,120
+خلاص أنا وصلت للأربعة فشي notes فشي notes فشي no
+
+238
+00:22:28,120 --> 00:22:34,000
+more notes في ال tree وبالتالي خلص ال Q أنا كل node
+
+239
+00:22:34,000 --> 00:22:39,780
+بخلص منها بشيلها، خلص ال Q وأنا ماوصلتش لمين؟ للـ
+
+240
+00:22:39,780 --> 00:22:44,860
+sink، I cannot find anymore path فبتيجي في الـ
+
+241
+00:22:44,860 --> 00:22:50,000
+algorithm وبيكون الوضع اللي انتهت عليه وهو الـ
+
+242
+00:22:50,000 --> 00:22:52,560
+solution ال time efficiency احنا فيها ان ال number
+
+243
+00:22:52,560 --> 00:22:56,060
+of augmenting paths انه أنا قاعد في ال algorithm
+
+244
+00:22:56,060 --> 00:23:00,000
+باستكشف augmenting path واحد ورد تاني في المثال
+
+245
+00:23:00,000 --> 00:23:03,160
+تبعنا هذا كانوا بس اتنين okay the number of
+
+246
+00:23:03,160 --> 00:23:06,080
+augmenting paths needed by the shortest augmenting
+
+247
+00:23:06,080 --> 00:23:10,310
+path algorithm never exceeds حصل ضرب عدد الـ
+
+248
+00:23:10,310 --> 00:23:17,350
+vertices في عدد ال edges N عدد ال vertices و M عدد
+
+249
+00:23:17,350 --> 00:23:22,510
+ال edges على اتنين الآن ال time required for a
+
+250
+00:23:22,510 --> 00:23:26,130
+shortest path by breadth-first عشان انها تلف على
+
+251
+00:23:27,520 --> 00:23:34,280
+اللي تلف على النص تجيب ال path N زاد M big O of N
+
+252
+00:23:34,280 --> 00:23:38,500
+زاد M مين اللي أكبر N ولا ال M ال M هي ال edges و
+
+253
+00:23:38,500 --> 00:23:43,080
+ال N هي ال vertices مين اللي عادة بيكون أكبر ال M
+
+254
+00:23:43,080 --> 00:23:47,500
+ال edges أكبر من ال vertices ف big O of M هذا for
+
+255
+00:23:47,500 --> 00:23:51,800
+networks represented by their adjacency لسة لكن لو
+
+256
+00:23:51,800 --> 00:23:57,660
+بدنا تكون represented by okay Time efficiency for
+
+257
+00:23:57,660 --> 00:24:00,780
+the shortest augmenting path اللي بتجيب المسارات
+
+258
+00:24:00,780 --> 00:24:08,300
+عبارة N م² فانا في يدي N مضروبة في كمان M اللي هي
+
+259
+00:24:08,300 --> 00:24:16,140
+تبعت من تبعت ال breadth-first ف N م² ال N هذه اللي هي
+
+260
+00:24:16,140 --> 00:24:19,700
+N على اتنين اللي هي تبعت من استكشاف ال shortest
+
+261
+00:24:19,700 --> 00:24:26,750
+path في عندي أنا عدد من الـ .. في عدد من ال nodes في
+
+262
+00:24:26,750 --> 00:24:32,050
+الـ .. في ال grid face وعند كل node مش كل node هي
+
+263
+00:24:32,050 --> 00:24:37,050
+عبارة عن I وعند كل I أنا بدي أعمل عملية هذه ف N M
+
+264
+00:24:37,050 --> 00:24:44,490
+ضرب M ضرب M N M ضرب M ف N م² okay الآن هذا
+
+265
+00:24:44,490 --> 00:24:50,490
+الكلام ممكن .. okay فيه اللي هو algorithmic أفضل
+
+266
+00:24:50,490 --> 00:24:54,490
+إيش يمكن يتحسن عليه اللي هو big O of N M يعني يمكن
+
+267
+00:24:54,490 --> 00:25:00,550
+يتخفف إلى big O of N M بدل N م² هذا كله على
+
+268
+00:25:00,550 --> 00:25:04,290
+فرض أنه نستخدم adjacency lists مش adjacency
+
+269
+00:25:04,290 --> 00:25:09,680
+matrices الـ adjacency Matrix إنه أنا بدي أجيب كل Node و
+
+270
+00:25:09,680 --> 00:25:13,820
+أسجل مقابل كل واحد من الـ Other Nodes إيش فيه ما
+
+271
+00:25:13,820 --> 00:25:16,480
+بينها Link و قد إيش الـ Link هذه الـ Capacity بتاعها
+
+272
+00:25:16,480 --> 00:25:20,760
+فبدي أعمل Matrix لأ إحنا بنحكي عن الـ adjacency List
+
+273
+00:25:20,760 --> 00:25:29,440
+okay طيب okay هذا الآن آخر ملاحظة ثانية إضافة على
+
+274
+00:25:29,440 --> 00:25:35,100
+الموضوع ال network ال maximum network flow إنه في
+
+275
+00:25:35,100 --> 00:25:39,780
+حاجة اسمها الـ Network Cut الـ Network Cut ركزوا
+
+276
+00:25:39,780 --> 00:25:43,080
+معايا بس في هالجزئية الصغيرة تاخد معانا slide
+
+277
+00:25:43,080 --> 00:25:46,680
+واحدة بس لو أنت لاحظت الآن لو جيت على هذا الـ
+
+278
+00:25:46,680 --> 00:25:48,720
+network هذا ال network الآن خلاص هنا .. هنا الـ
+
+279
+00:25:48,720 --> 00:25:54,800
+solution مظبوط لو أنت جيت وقلت خلينا نعمل Cut فصل
+
+280
+00:25:54,800 --> 00:25:58,640
+ما بين ال nodes حيث أن جزء منهم في ناحية وجزء
+
+281
+00:25:58,640 --> 00:26:03,720
+الثاني في ناحية زي مثلاً أو زي هيك أو ممكن أفصل زي
+
+282
+00:26:03,720 --> 00:26:09,700
+هيك كل cut بتحط vertices في ناحية و vertices أخرى
+
+283
+00:26:09,700 --> 00:26:14,880
+في ناحية في cuts بسيطة جداً زي مثلاً هذه لو أنا حطيت
+
+284
+00:26:14,880 --> 00:26:22,720
+الواحد في ناحية والباقي في ناحية أخرى هينبسط هذا
+
+285
+00:26:22,720 --> 00:26:23,780
+الكلام على السريع
+
+286
+00:26:28,460 --> 00:26:32,500
+من غير الأرقام ومن غير ال labels نفسهم المرة الثانية
+
+287
+00:26:32,500 --> 00:26:39,520
+هاي واحد وهي اثنين وهي الثلاثة وهي الستة هاي
+
+288
+00:26:39,520 --> 00:26:46,660
+الأربعة وهي الخمسة
+
+289
+00:26:46,660 --> 00:26:52,360
+مظبوط إيه؟ أنا أنا بدي أعمل cut اللي يفصل بدي أحط
+
+290
+00:26:52,360 --> 00:27:02,470
+X بدي أحط ال one في ناحية والباقي X bar اللي هو الـ
+
+291
+00:27:02,470 --> 00:27:09,790
+complement تباع X بيكون كل ال other nodes، مظبوط؟
+
+292
+00:27:09,790 --> 00:27:17,410
+اثنين وثلاثة وأربعة وخمسة وستة، okay؟ هذه one
+
+293
+00:27:17,410 --> 00:27:25,110
+cut cut أخرى ممكن أنا أجي أفصل ال main ال sink في
+
+294
+00:27:25,110 --> 00:27:35,620
+ناحية والباقي في ناحية X 1,2,3,4,5 و X bar 6 وممكن
+
+295
+00:27:35,620 --> 00:27:43,580
+أعمل أي cut يعني ماشي 1,2,4 و 3
+
+296
+00:27:43,580 --> 00:27:48,660
+,5,6 في ناحية الثانية الآن اللي يعنينا إحنا أن كل
+
+297
+00:27:48,660 --> 00:27:53,600
+واحد من ال cuts له cost الـ cost تبعته هي الـ
+
+298
+00:27:53,600 --> 00:27:56,900
+total cost تبع ال edges اللي فيها يعني إيش الـ
+
+299
+00:27:56,900 --> 00:28:00,340
+edges اللي فيها؟ هذا ال cut مرت على مين من الـ
+
+300
+00:28:00,340 --> 00:28:05,940
+edges؟ على هدول الثلاثة هي فصلت ال vertices بس
+
+301
+00:28:05,940 --> 00:28:11,020
+عشان تفصلهم عملياً ال cut هي إزالة لإيش؟ تخيلي إنه
+
+302
+00:28:11,020 --> 00:28:17,700
+إحنا هدول ال edges أزلناهم okay؟ هيو هنا هيو هنا
+
+303
+00:28:17,700 --> 00:28:23,040
+ال cut هذه القطة دي عبارة عن واحد واثنين وواحد
+
+304
+00:28:23,040 --> 00:28:25,700
+أربعة القطة دي عبارة عن واحد واثنين وواحد أربعة
+
+305
+00:28:25,700 --> 00:28:30,400
+أزلناهم فضل إشتت واحد عشجم والباقي عشجم فكل edge
+
+306
+00:28:30,400 --> 00:28:35,060
+ال cost تبعها هي عبارة عن ال total cost تبع
+
+307
+00:28:35,060 --> 00:28:39,080
+ال edges كل cut ال total cost تبعها ال edges الـ
+
+308
+00:28:39,080 --> 00:28:44,800
+cost تبع ال edges اللي فيها okay وفي أن شرط
+
+309
+00:28:44,800 --> 00:28:51,580
+المهم وهو أن ال cut تبقى .. مش فاهم إحنا ال edges
+
+310
+00:28:51,580 --> 00:28:59,640
+هذه directed لما
+
+311
+00:28:59,640 --> 00:29:07,640
+أنا وجيت عملت مصار أخدت هذه بهذا الاتجاه المصار
+
+312
+00:29:07,640 --> 00:29:11,740
+اللي أنا .. المصارات اللي استكشفتها هذا .. هذا
+
+313
+00:29:11,740 --> 00:29:16,960
+المصار .. هذا المصار هنهيتها في الآخر ال solution
+
+314
+00:29:16,960 --> 00:29:17,440
+تبعنا
+
+315
+00:29:22,240 --> 00:29:27,260
+solution تبعنا حدد أن أنا بدي آخذ ال edge هذه في إيش
+
+316
+00:29:27,260 --> 00:29:33,180
+في الاتجاه هذا okay ف أنا الآن يوم أنا بطلع على الـ
+
+317
+00:29:33,180 --> 00:29:36,640
+edges اللي واقع على ال cut بدي آخذ بس ال edges
+
+318
+00:29:36,640 --> 00:29:41,560
+اللي ال tail تبعها في ضفة والرأس في ضفة الثانية
+
+319
+00:29:41,560 --> 00:29:48,550
+يعني هدول ال tail تبعها في X والرأس تبعها في X bar
+
+320
+00:29:48,550 --> 00:29:54,910
+هذه ليست انطباق هذه عكس الرأس تبعها في X وال tail
+
+321
+00:29:54,910 --> 00:30:03,010
+تبعها في X bar صح؟ لو أنا أخدت هدول ال edges كده
+
+322
+00:30:03,010 --> 00:30:09,760
+ال cost تبع ال edge هذه؟ ثلاثة وهد قد إيش .. هد خلاص
+
+323
+00:30:09,760 --> 00:30:15,600
+بدنا نشيلها لأنها مخالفة هد قد إيش ال cost واحد هد الـ
+
+324
+00:30:15,600 --> 00:30:20,280
+cost قد إيش اثنين بالمرة نسجلهم أربعة هد إيش اثنين و
+
+325
+00:30:20,280 --> 00:30:26,340
+هد ثلاثة صح؟ الحين هد ال cut قد إيش ال cost تبعها
+
+326
+00:30:26,340 --> 00:30:30,620
+total أربعة
+
+327
+00:30:30,620 --> 00:30:36,180
+طيب لو بدنا نأخذ هد ال cut قد إيش ال total؟ ستة إذا أريد
+
+328
+00:30:36,180 --> 00:30:43,700
+أن آخذ هذا ال cut كم هو ال total؟ خمسة مظبوط؟ طيب
+
+329
+00:30:43,700 --> 00:30:48,280
+لو أخذت هذا ال cut ثلاثة
+
+330
+00:30:48,280 --> 00:30:53,620
+صح؟ واحد واثنين أولاً تطلع على ال edges مطابق
+
+331
+00:30:53,620 --> 00:30:57,540
+للشرط أن ال tail في flow ما بين ال minimum cut
+
+332
+00:30:57,540 --> 00:31:01,540
+ماهو ال minimum cut؟ ال cut اللي أقل تكلفة فهدول
+
+333
+00:31:01,540 --> 00:31:06,730
+اللي أنا عملتهم مين أقل تكلفة؟ هذه ثلاثة، هذه
+
+334
+00:31:06,730 --> 00:31:12,950
+أربعة، هذه ستة، هذه خمسة، الثلاثة هي الأقل الـ
+
+335
+00:31:12,950 --> 00:31:18,770
+minimum cut ال cost تساوي ال maximum flow مش إحنا
+
+336
+00:31:18,770 --> 00:31:23,750
+طلع معانا ال maximum flow ثلاثة، واحد واثنين،
+
+337
+00:31:23,750 --> 00:31:25,350
+مظبوط؟
+
+338
+00:31:28,720 --> 00:31:33,580
+باختصار شديد، the value of a maximum flow in a
+
+339
+00:31:33,580 --> 00:31:37,520
+network is equal to the capacity of its minimum
+
+340
+00:31:37,520 --> 00:31:41,180
+cut الآن واضحة إيش يعني ال cut واضحة إيش يعني الـ
+
+341
+00:31:41,180 --> 00:31:45,420
+cost تبع ال cut واضحة كيف بحسب ال cost تبع ال cut
+
+342
+00:31:45,420 --> 00:31:49,360
+بستثني .. بحسب فقط ال edges اللي ال tail تبعها في
+
+343
+00:31:49,360 --> 00:31:54,000
+X والرأس تبعها في X bar okay الآن واضحة إيش يعني
+
+344
+00:31:54,000 --> 00:31:57,540
+ال minimum cut ال cut اللي ال cost تبعها أقل هذا
+
+345
+00:31:57,540 --> 00:32:00,380
+ال cut اللي ال cost تبعها أقل ال value تبعها
+
+346
+00:32:00,380 --> 00:32:05,040
+اليسار وال value تبعه يعني أنا بقدر أحل مسألة الـ
+
+347
+00:32:05,040 --> 00:32:11,580
+maximum flow problem بإني أطلع ال maximum flow بإني
+
+348
+00:32:11,580 --> 00:32:15,860
+أشوف ال cuts وأطلع ال minimum cut وال value
+
+349
+00:32:15,860 --> 00:32:19,940
+تبعها هو .. بس ما بيعطيني .. ما بتعطيني ال edges
+
+350
+00:32:19,940 --> 00:32:25,280
+بالظبط كيف يتشكل المسار .. okay؟ خلاص هي كـ .. إحنا
+
+351
+00:32:25,280 --> 00:32:29,340
+بنكون .. أخذنا اللي بدنا إياه من عشرة اثنين بدنا
+
+352
+00:32:29,340 --> 00:32:34,290
+نحله اثنين زي الثلاثة الآن عشرة ثلاثة موضوع صغير
+
+353
+00:32:34,290 --> 00:32:40,430
+جداً بنجمله في عشر دقائق okay عشرة ثلاثة بدنا إحنا
+
+354
+00:32:40,430 --> 00:32:44,730
+..
+
+355
+00:32:44,730 --> 00:32:50,510
+خلاص سجلتوا هالكلام؟ عشرة ثلاثة بتعامل مع problem
+
+356
+00:32:50,510 --> 00:32:57,800
+بسيطة برضه برضه كمان جاي في إطار الـ iterative
+
+357
+00:32:57,800 --> 00:33:00,400
+improvement إحنا فهمنا وين الـ iterative
+
+358
+00:33:00,400 --> 00:33:04,040
+improvement في عشرة اثنين في موضوع اللي هو الـ
+
+359
+00:33:04,040 --> 00:33:07,640
+network flow إنه أنا كل مرة بـ .. أبحث عن مسار
+
+360
+00:33:07,640 --> 00:33:12,760
+جديد اللي يعطيني تحسين في الـ في ال flow هنا أنا
+
+361
+00:33:12,760 --> 00:33:15,460
+هندي مسألة ثانية برضه بتنحل بالـ iterative
+
+362
+00:33:15,460 --> 00:33:19,980
+improvement افترض أن إحنا فيها عدة أشخاص والأشخاص
+
+363
+00:33:19,980 --> 00:33:24,600
+هدول موظفين وكل واحد منهم يستطيع أنا أعلم أنه
+
+364
+00:33:24,600 --> 00:33:29,020
+يستطيع وعندي عدة مهام يعني وأعلم أن فلان يستطيع
+
+365
+00:33:29,020 --> 00:33:32,860
+أن يعمل المهام كلها بينما فلان بيقدر يعمل هذه وهذه
+
+366
+00:33:32,860 --> 00:33:36,760
+هذه فلان بيقدر يعمل واحدة فقط فاعتبري هدول هم
+
+367
+00:33:36,760 --> 00:33:37,460
+الأشخاص
+
+368
+00:33:40,800 --> 00:33:46,420
+وهدول هما إيش الـ jobs أو الـ tasks فعندي اثنين
+
+369
+00:33:46,420 --> 00:33:50,520
+بيقدر يعملهم بيعمل أي واحد من الـ tasks رقم واحد
+
+370
+00:33:50,520 --> 00:33:53,840
+بيقدر يعمل بس هذه وهذه رقم ثلاثة بيقدر يعمل بس
+
+371
+00:33:53,840 --> 00:33:57,840
+هذه أربعة بيقدر يعمل بس هذه أنا أنا مش بدي أعمل job
+
+372
+00:33:57,840 --> 00:34:03,420
+assignment يعني بدي أعمل بس أنه كل واحد أكلفه
+
+373
+00:34:03,420 --> 00:34:08,500
+بمهمة بحيث أنه ما يضلش ولا واحد من هدول غير مكلف
+
+374
+00:34:08,500 --> 00:34:13,960
+ولا واحد من ال jobs مش هذا .. هذا إني استطعت لأنه
+
+375
+00:34:13,960 --> 00:34:18,880
+ممكن .. ممكن طبيعة العلاقة ما بين هدول وهدول في
+
+376
+00:34:18,880 --> 00:34:24,340
+الآخر تقيدني ألاقي إنه في أشخاص لا يمكن أني أعملهم
+
+377
+00:34:24,340 --> 00:34:29,560
+assignment لـ jobs والعكس صحيح فال maximum
+
+378
+00:34:29,560 --> 00:34:35,120
+matching هي إنه أنا أحصل على أفضل matching .. إيش
+
+379
+00:34:35,120 --> 00:34:38,420
+يعني أفضل matching؟ يعني قدر الإمكان
+
+380
+00:34:41,230 --> 00:34:46,090
+vertices من هنا تأخذ قرين لها من الناحية الثانية
+
+381
+00:34:48,300 --> 00:34:52,240
+عمل مزاوجة ما بين Vertex واحدة و Vertex واحدة من
+
+382
+00:34:52,240 --> 00:34:56,920
+هذه الناحية مع Vertex واحدة فقط فكيف بده يكون الـ
+
+383
+00:34:56,920 --> 00:35:00,700
+solution يعني أنا لو بده أفكر فيها باجي بقول ربما
+
+384
+00:35:00,700 --> 00:35:07,500
+أجي okay لو أنا الآن أعطيت واحد أعطيته خمسة الآن
+
+385
+00:35:07,500 --> 00:35:11,540
+اثنين ما يقدر ياخد خمسة خلاص راحت okay واحد ما يقدر
+
+386
+00:35:11,540 --> 00:35:15,400
+ياخذ الآن اثنين ما لهش لأ إما ياخد واحد من هدول
+
+387
+00:35:15,800 --> 00:35:20,980
+ثلاثة خلاص مش هيقدر لو أنا أعطيت ثلاثة حملة هذه
+
+388
+00:35:20,980 --> 00:35:26,000
+واحد ما يقدر ياخد هذه صح؟ لكن أربعة ما يقدر ياخد
+
+389
+00:35:26,000 --> 00:35:28,980
+فهيضلوا أربعة .. يعني لازم يضل يطلع عند واحد من
+
+390
+00:35:28,980 --> 00:35:32,860
+هدول أو هذه ربما ياخد .. يعني واحد منهم مش ماخد
+
+391
+00:35:32,860 --> 00:35:41,040
+job ف أفضل شيء أنا ممكن أحصل عليه هو هيك تمام؟
+
+392
+00:35:42,550 --> 00:35:46,730
+أحد ياخد خمسة، ثالث تأخذ خمسة، اثنين تأخذ سبعة،
+
+393
+00:35:46,730 --> 00:35:52,170
+أربعة ما لهش، وثمانية ما لهاش، مظبوط؟ هذا ال maximum
+
+394
+00:35:52,170 --> 00:35:55,050
+اللي أنا حصلت عليه حتى، لأن فيه ممكن أحسن أو أحسن
+
+395
+00:35:55,050 --> 00:35:59,330
+من هيك، أنا بقول ما فيش مجال، ليش؟ لأن التربيط اللي
+
+396
+00:35:59,330 --> 00:36:04,690
+معايا، ال graph اللي عندي، بحكمني، okay؟ فهذا الـ
+
+397
+00:36:04,690 --> 00:36:08,770
+problem، ال problem أنه المشكلة هي أن تجد الـ
+
+398
+00:36:08,770 --> 0
+
+445
+00:40:26,530 --> 00:40:33,370
+عندي أنا الـ M تساوي اللي هو إيش كانت أربعة ثمانية
+
+446
+00:40:33,370 --> 00:40:41,070
+وخمسة تسعة الآن صارت معاها واحد وستة، okay لأن هو
+
+447
+00:40:41,070 --> 00:40:44,110
+أنا واحد ستة اللي هي الـ link هذه سماها path
+
+448
+00:40:44,110 --> 00:40:49,790
+augmenting path، okay وهنا الفكرة تبعتي أنه أنا
+
+449
+00:40:49,790 --> 00:40:57,230
+عملياً ببحث عن مسار من الـ nodes، المسار هذا زيك زاك
+
+450
+00:40:57,230 --> 00:41:00,950
+سمعته في المصطلح هذا زيك زاك، يعني مرة من ناحية و
+
+451
+00:41:00,950 --> 00:41:06,050
+بعدين بروح على ناحية، وبعدين بروح تاني زيك زاك
+
+452
+00:41:06,050 --> 00:41:11,710
+okay all right، ما بعرفش عليكوا الـ .. okay فإحنا الآن
+
+453
+00:41:11,710 --> 00:41:15,550
+الـ .. الـ .. الـ algorithm مش متساوي، وتحاول تبحث عن
+
+454
+00:41:15,550 --> 00:41:22,110
+مسارات زيك زاك paths بحيث أنه تبدأ في free  وتنتهي
+
+455
+00:41:22,110 --> 00:41:30,860
+بـ free، تبدأ بـ 3 من V وتنتهي بـ 3 من U، لجت، والمسار
+
+456
+00:41:30,860 --> 00:41:35,380
+هذا طوله واحد، خلاص بتحطه، وبتروح تبحث على واحد
+
+457
+00:41:35,380 --> 00:41:43,560
+ثاني، فأول iteration بعد الـ initial وجدت مسار بسيط
+
+458
+00:41:43,560 --> 00:41:48,170
+جداً يتكون بس من one edge، يحقق هذا الـ .. لأنه زيك
+
+459
+00:41:48,170 --> 00:41:52,010
+زاك، ويبدأ بـ free وينتهي بـ free، الآن هل في مجال
+
+460
+00:41:52,010 --> 00:41:58,090
+أنه نحسن بواحد آخر، بنشوف إيش فيه، أنه ضال free في
+
+461
+00:41:58,090 --> 00:42:02,930
+الـ V، ففي عندي الاتنين، هاي الاتنين أنا بقدر أروح
+
+462
+00:42:02,930 --> 00:42:08,890
+الستة الآن متاخدة matched، okay ما أقدرش أربطها، فماشي
+
+463
+00:42:08,890 --> 00:42:12,370
+سوياً أروح على التلاتة برضه match، أروح على التمانية
+
+464
+00:42:12,370 --> 00:42:17,220
+matched، جفلة الحكاية؟ لأ، الفكرة تبع الـ augmenting
+
+465
+00:42:17,220 --> 00:42:24,220
+path أنه أنا إيش ممكن أسوي؟ أبدأ بواحدة unmatched
+
+466
+00:42:24,220 --> 00:42:30,520
+وأنتقل عبر link فاضي لسه مش مشغولة، وأروح على واحدة
+
+467
+00:42:30,520 --> 00:42:36,480
+مشغولة، وأرجع بواحدة مش مشغولة، يعني هو زيك زاك من
+
+468
+00:42:36,480 --> 00:42:40,820
+ناحية أنه بيبدأ من ضفـ .. بيتنقل ما بين الضفتين
+
+469
+00:42:40,820 --> 00:42:47,360
+وأيضاً alternating من حيث أنه الـ edge الأولى مش في
+
+470
+00:42:47,360 --> 00:42:54,740
+M وبنتقل منها الـ edge في M، بعدين edge مش في M، هو
+
+471
+00:42:54,740 --> 00:42:57,900
+بيعمل alternating برضه، مش بس alternating ما بين
+
+472
+00:42:57,900 --> 00:43:01,660
+الضفتين، اللي alternating ما بين الـ edges اللي في
+
+473
+00:43:01,660 --> 00:43:05,500
+M واللي مش في M، الآن هذه اتنين، ستة موجودة في M؟
+
+474
+00:43:05,500 --> 00:43:09,820
+لأ، أنا ممكن أجي، أقول خلينا نحطها في الـ path،
+
+475
+00:43:09,820 --> 00:43:13,980
+ستة، واحد موجودة في M؟ موجودة، طيب موجودة، آخدها،
+
+476
+00:43:13,980 --> 00:43:18,280
+ماشي، خليها الآن، هاي اتنين، ستة، ستة، واحد، بعدين
+
+477
+00:43:18,280 --> 00:43:24,130
+واحد، سبعة، هذا ده المسار، وهذا مطبق على الشرط أنه
+
+478
+00:43:24,130 --> 00:43:31,290
+بدأ بـ node في V وانتهى بـ node في U، وأنه الـ links
+
+479
+00:43:31,290 --> 00:43:37,410
+هذه مش في M، هذه في M، هذه مش في M، صح؟ الآن إيش أسوي؟
+
+480
+00:43:37,410 --> 00:43:44,070
+وساطة، هذه الـ link بثبتها، هذه الـ link بحذفها، هذه الـ
+
+481
+00:43:44,070 --> 00:43:49,250
+link بثبتها، شو معناه؟ معناه أنا حاجة أشيل هذه
+
+482
+00:43:49,250 --> 00:43:54,580
+وأضيف بدالها مين؟ يعني الـ M ده تصبح إيش؟ أربعة
+
+483
+00:43:54,580 --> 00:44:04,200
+ثمانية، خمسة تسعة، هذه راحت، اتنين، ستة، واحد،
+
+484
+00:44:04,200 --> 00:44:11,760
+سبعة، okay؟ يعني اتنين،
+
+485
+00:44:11,760 --> 00:44:19,740
+هذه راحت، وهذه أجت، مظبوط؟ صار في عندي الـ N
+
+486
+00:44:20,610 --> 00:44:23,970
+matching أفضل، العدد set، مش إحنا بنحكي عن
+
+487
+00:44:23,970 --> 00:44:27,330
+cardinality، عدد عناصر الـ set، هذه المجموعة، وهي
+
+488
+00:44:27,330 --> 00:44:32,250
+عناصرها، okay
+
+489
+00:44:32,250 --> 00:44:36,950
+بقوا تلاتة، صاروا أربعة، وبيحققوا اللي اللي أنا
+
+490
+00:44:36,950 --> 00:44:43,250
+بدّي إياه، يعني كل edge بتجمع ما بين two vertices، واحدة
+
+491
+00:44:43,250 --> 00:44:45,030
+من هذا الناحية، واحدة من هذا الناحية، واحدة من ناحية
+
+492
+00:44:45,030 --> 00:44:50,290
+أخرى، إذا قدرت أنا أكمل وألاقي more paths اللي تحسن
+
+493
+00:44:50,290 --> 00:44:55,770
+.. تحسّنيش؟ عدد عناصر الـM، الـZ، خلينا نشوف الآن
+
+494
+00:44:55,770 --> 00:45:00,110
+لأن الـ 2 والـ 1 صاروا matched، مين اللي ضال مش
+
+495
+00:45:00,110 --> 00:45:08,050
+matched؟ ضال عندي التلاتة فوق، ومين تحت؟ العشرة؟
+
+496
+00:45:08,050 --> 00:45:14,270
+مظبوط ولا لأ؟ هل بقدر ألاقي مسار من التلاتة
+
+497
+00:45:14,270 --> 00:45:18,640
+للعشرة؟ ما فيش غير ملعّن، لو أنا بدي أعمل مسار
+
+498
+00:45:18,640 --> 00:45:23,780
+بالشروط اللي حكيناها، أنه يبدأ بـ Vertex من V، وانت بـ
+
+499
+00:45:23,780 --> 00:45:27,720
+Vertex من U، ما فيش عندي إلا هذه في V، وهذه في U، هي
+
+500
+00:45:27,720 --> 00:45:34,920
+تُورا بجد، وأنا أجي مسار، ويحقق أنه alternating من
+
+501
+00:45:34,920 --> 00:45:38,460
+ناحية الـ edges، واحدة في M، واحدة مش في M، هذه مش في
+
+502
+00:45:38,460 --> 00:45:46,530
+M، هذه في M، مش في M، وهذا صح، هي المسار هذا أقل اللي
+
+503
+00:45:46,530 --> 00:45:52,990
+أنا بدّي إياه، اللي هو تلاتة ثمانية، ثمانية أربعة، أربعة
+
+504
+00:45:52,990 --> 00:45:58,950
+تسعة، تسعة خمسة، خمسة، عشرة، الآن باخد هذه الـ edge و
+
+505
+00:45:58,950 --> 00:46:04,410
+بأقلع هذه الـ edge، باخد هذه وبأقلع هذه، وبأخد هذه
+
+506
+00:46:04,410 --> 00:46:08,130
+ثمانية
+
+507
+00:46:08,130 --> 00:46:13,670
+وأربعة بدّي أشيلهم، ثمانية أربعة بدّي أشيلها، تسعة
+
+508
+00:46:13,670 --> 00:46:18,660
+خمسة بدّي أشيلها، بيظلوا هدولة، وبيجمعهم التلاتة هدولة
+
+509
+00:46:18,660 --> 00:46:22,740
+اتحسن ولا ما اتحسنش؟ حسن، بقى جاء أربعة صار خمسة، بعد
+
+510
+00:46:22,740 --> 00:46:27,300
+هي خلاص، ما فيش، هذا هو الـ .. فإحنا الآن عملياً الـ
+
+511
+00:46:27,300 --> 00:46:31,500
+method بتعتمد على هذا الأصل، بإنه أنا في كل
+
+512
+00:46:31,500 --> 00:46:38,060
+iteration بابحث عن مسار، يجتمل على edges، المسار هذا
+
+513
+00:46:38,060 --> 00:46:43,200
+مواصفاته حكيناها، إذا ما صار هذا بيحقق لي زيادة في
+
+514
+00:46:43,200 --> 00:46:48,320
+عدد الـ edges اللي داخلة في الـ matching، فأخذه و
+
+515
+00:46:48,320 --> 00:46:52,760
+بأمسح الجديد، وبأخذ الجديد، وبضلّني إلى أن بعد كده
+
+516
+00:46:52,760 --> 00:46:57,300
+خلاص أنا بعد التلاتة، الآن أصلاً كلهم صاروا matched
+
+517
+00:46:57,300 --> 00:47:00,480
+يعني حصلت أنا عملياً على إيش؟
+
+518
+00:47:03,600 --> 00:47:07,780
+حصلت على perfect matching أو complete matching، صح؟
+
+519
+00:47:07,780 --> 00:47:11,260
+أن كل هدولة matched، وكل هدولة matched، ضال في حدا
+
+520
+00:47:11,260 --> 00:47:15,540
+هنا مش matched؟ لأ، فعندي هذا مع واحد، مع سبعة، اتنين
+
+521
+00:47:15,540 --> 00:47:24,340
+مع ستة، الـ algorithm هذه فيها تفاصيل لكيفية
+
+522
+00:47:24,340 --> 00:47:28,750
+استكشاف المسار هذا، إحنا الآن حكينا، وبنقدر نحل
+
+523
+00:47:28,750 --> 00:47:32,590
+المسألة هذه على الورق إحنا، لكن الـ algorithm بدها
+
+524
+00:47:32,590 --> 00:47:38,870
+خطوات محددة لاستكشاف المسار، فالتفاصيل
+
+525
+00:47:38,870 --> 00:47:43,130
+هذه موجودة في الـ algorithm هذه، إحنا مش هنخش في
+
+526
+00:47:43,130 --> 00:47:46,650
+تفاصيلها، بس على الأقل الآن لو أنا أعطيتك homework
+
+527
+00:47:46,650 --> 00:47:50,870
+أو المثال في الامتحان، وقلت لك حليها، بتقدر تحليها
+
+528
+00:47:50,870 --> 00:47:54,360
+على الورق، بدون ما .. فإحنا الآن إيش بنسوي؟ خلاص هي ده
+
+529
+00:47:54,360 --> 00:47:57,940
+نهاية الـ section، عشرة تلاتة، مش هدخل في تفاصيل الـ
+
+530
+00:47:57,940 --> 00:48:02,980
+algorithm، بدنا نعمل .. بنعطيكوا homework في هذا الـ
+
+531
+00:48:02,980 --> 00:48:06,020
+section، بس مش داخل في الامتحان، الـ section نفسه مش
+
+532
+00:48:06,020 --> 00:48:09,600
+داخل في الامتحان، okay بس داخل في الـ homework. All
+
+533
+00:48:09,600 --> 00:48:15,720
+right، فإحنا الآن هيك بنكون بحمد الله يعني أنجزنا
+
+534
+00:48:15,720 --> 00:48:19,980
+غالبية العظمى من اللي بدنا إياها، كان المفروض نكمل
+
+535
+00:48:19,980 --> 00:48:23,720
+في chapter 11، بس الوقت ما بتكفيش، بس عموماً هيك إحنا
+
+536
+00:48:23,720 --> 00:48:28,280
+بنكون أخذنا يعني جزء كبير من الـ algorithms اللي
+
+537
+00:48:28,280 --> 00:48:33,780
+بدنا إياها، وإن شاء الله الفصل الجاي، إن شاء الله
+
+538
+00:48:33,780 --> 00:48:38,520
+بيكون فيه .. بيكون فيه محاضرات ثانية في مادة
+
+539
+00:48:38,520 --> 00:48:40,660
+أخرى، إن شاء الله، يعطيكم العافية
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..bf8b8e3bf8a5fac430eef8e5906912077040a18d
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os_raw.json
@@ -0,0 +1 @@
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ليس داخلة في الموضوع اربع ستبقى داخلة و حسبتها هي هي تلاتة ال label هو هو تلاتة واحد forward الآن بعد الأربع تأتي تلاتة تلاتة تأتي واحد اربع plus", "tokens": [3224, 15730, 2423, 7649, 5296, 1863, 7251, 3555, 4587, 7578, 3714, 29245, 23328, 5296, 33456, 1975, 2655, 1863, 9957, 32239, 3794, 11778, 47283, 37977, 8978, 9673, 2407, 11242, 45367, 1975, 25513, 3615, 8608, 2655, 3555, 4587, 7578, 11778, 47283, 37977, 4032, 11331, 35457, 2655, 11296, 39896, 39896, 6055, 1211, 9307, 3660, 2423, 7645, 31439, 31439, 6055, 1211, 9307, 3660, 36764, 24401, 2128, 6024, 48506, 39182, 16247, 25513, 3615, 6055, 10721, 31371, 6055, 1211, 9307, 3660, 6055, 1211, 9307, 3660, 6055, 10721, 31371, 36764, 24401, 1975, 25513, 3615, 1804], "avg_logprob": -0.3024929855646712, "compression_ratio": 1.7630057803468209, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 1101.56, "end": 1102.1, "word": "هذا", "probability": 0.728271484375}, {"start": 1102.1, "end": 1102.84, "word": " الان", "probability": 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بضحوط تلاتة الآن ايش اللي بي .. ايش ال children .. ال children حسب ال .. اه تلاتة جدش تلاتة ال label تبعها؟ واحد أربعة forward الان ايش اللي بتفرع منها؟ اتنين okay هاي من تلاتة إلى اتنين صح؟", "tokens": [6027, 7649, 5296, 15042, 8717, 1829, 7435, 1829, 15844, 6055, 1211, 9307, 3660, 4724, 11242, 5016, 2407, 9566, 6055, 1211, 9307, 3660, 6024, 48506, 1975, 1829, 8592, 13672, 1829, 4724, 1829, 4386, 1975, 1829, 8592, 2423, 2227, 4386, 2423, 2227, 11331, 35457, 2423, 4386, 1975, 3224, 6055, 1211, 9307, 3660, 10874, 3215, 8592, 6055, 1211, 9307, 3660, 2423, 7645, 6055, 3555, 3615, 11296, 22807, 36764, 24401, 5551, 25513, 27884, 2128, 2423, 7649, 1975, 1829, 8592, 13672, 1829, 39894, 5172, 2288, 3615, 9154, 11296, 22807, 1975, 2655, 1863, 9957, 1392, 8032, 47302, 9154, 6055, 1211, 9307, 3660, 30731, 1975, 2655, 1863, 9957, 20328, 5016, 22807], "avg_logprob": -0.24270833673931302, "compression_ratio": 1.8167539267015707, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1130.42, 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واحد okay؟ وبين القالية ال .. ال .. ال .. الثابتة أو يعني الخطوات بتتم استكشاف المصار وبتم إيش تحديد ال capacity تبعته وبيتم updating لل إيش لل edges بعد ما ينعمل update الآن okay؟ لحظة أنه", "tokens": [3555, 9957, 15042, 5551, 3615, 9566, 1829, 11296, 6055, 1211, 9307, 3660, 5551, 25513, 27884, 4724, 9957, 15042, 5551, 3615, 9566, 1829, 11296, 5551, 25513, 27884, 36764, 24401, 1392, 22807, 46599, 9957, 25062, 6027, 10632, 2423, 4386, 2423, 4386, 2423, 4386, 6024, 104, 16758, 2655, 3660, 34051, 37495, 22653, 33962, 9566, 2407, 9307, 39894, 39237, 44713, 4117, 8592, 31845, 9673, 9381, 9640, 46599, 39237, 11933, 1829, 8592, 6055, 5016, 16254, 3215, 2423, 6042, 6055, 3555, 34268, 3224, 4032, 21292, 39237, 25113, 24976, 11933, 1829, 8592, 24976, 8819, 39182, 19446, 7251, 1863, 25957, 1211, 5623, 6024, 48506, 1392, 22807, 5296, 5016, 19913, 3660, 14739, 3224], "avg_logprob": -0.3023809546516055, "compression_ratio": 1.7934272300469483, "no_speech_prob": 0.0, "words": [{"start": 1267.31, 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augmenting path algorithm never exceeds", "tokens": [10721, 29399, 3224, 2655, 47356, 37037, 2407, 2423, 3827, 2423, 565, 10493, 1975, 5016, 8315, 8978, 11296, 16472, 2423, 1230, 295, 29919, 278, 14518, 16472, 3224, 1975, 8315, 12174, 995, 22488, 8978, 2423, 9284, 4724, 995, 14851, 4117, 8592, 5172, 29919, 278, 3100, 36764, 24401, 4032, 2288, 3215, 6055, 7649, 1829, 8978, 9673, 12984, 6027, 6055, 3555, 3615, 8315, 23758, 25961, 14407, 4724, 3794, 1975, 2655, 1863, 9957, 1392, 264, 1230, 295, 29919, 278, 14518, 2978, 538, 264, 31875, 29919, 278, 3100, 9284, 1128, 43305], "avg_logprob": -0.2777979678885881, "compression_ratio": 1.6981981981981982, "no_speech_prob": 8.344650268554688e-07, "words": [{"start": 1367.78, "end": 1368.26, "word": "أنتهت", "probability": 0.716217041015625}, {"start": 1368.26, "end": 1368.62, "word": " عليه", "probability": 0.94482421875}, {"start": 1368.62, "end": 1369.72, "word": " وهو", "probability": 0.6795654296875}, {"start": 1369.72, "end": 1370.0, "word": 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Other Nodes إيش فيه ما بينها Link و جدّيش الـ Link هذه الـ Capacity بتا فبدي أعمل Matrix لأ إحنا بنحكي عن الـ JSLC List okay طيب okay هذا الآن آخر ملاحظة تانية إضافة على الموضوع ال network ال maximum network flow إنه", "tokens": [6027, 39184, 508, 47012, 34, 36274, 36145, 3224, 41850, 4724, 16254, 5551, 7435, 1829, 3555, 28242, 38640, 4032, 5551, 3794, 7435, 1211, 3714, 4587, 16758, 1211, 28242, 36764, 24401, 9154, 2423, 39184, 5358, 426, 4789, 11933, 1829, 8592, 8978, 3224, 19446, 49374, 11296, 8466, 4032, 10874, 3215, 11703, 1829, 8592, 2423, 39184, 8466, 29538, 2423, 39184, 8363, 19008, 39894, 995, 6156, 3555, 16254, 5551, 25957, 1211, 36274, 5296, 10721, 11933, 5016, 8315, 44945, 5016, 4117, 1829, 18871, 2423, 39184, 508, 47012, 34, 17668, 1392, 23032, 1829, 3555, 1392, 23758, 6024, 48506, 19753, 34740, 3714, 15040, 5016, 19913, 3660, 6055, 7649, 10632, 11933, 11242, 31845, 3660, 15844, 9673, 2407, 11242, 45367, 2423, 3209, 2423, 6674, 3209, 3095, 36145, 3224], "avg_logprob": 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"probability": 0.8134765625}], "temperature": 1.0}, {"id": 58, "seek": 156038, "start": 1534.76, "end": 1560.38, "text": "في حاجة اسمها الـ Network Cut الـ Network Cut ركزوا معايا بس في هالجزئية الصغيرة تاخد معانا slide واحدة بس لو انت لاحظت الآن لو جيت على هذا ال network هذا ال network الان خلاص هنا .. هنا ال solution مظبوط لو انت جيت وقلت خلينا نعمل Cut فصل ما بين ال nodes حيث ان جزء منهم في ناحية و جزء التاني في ناحية زيك مثلا", "tokens": [41185, 11331, 26108, 3660, 24525, 2304, 11296, 2423, 39184, 12640, 9431, 2423, 39184, 12640, 9431, 12602, 4117, 11622, 14407, 20449, 995, 25528, 4724, 3794, 8978, 8032, 6027, 7435, 11622, 19986, 10632, 31767, 17082, 48923, 6055, 47283, 3215, 20449, 7649, 995, 4137, 36764, 24401, 3660, 4724, 3794, 45164, 16472, 2655, 20193, 5016, 19913, 2655, 6024, 48506, 45164, 10874, 36081, 15844, 23758, 2423, 3209, 23758, 2423, 3209, 2423, 7649, 16490, 1211, 33546, 34105, 4386, 34105, 2423, 3827, 3714, 19913, 3555, 2407, 9566, 45164, 16472, 2655, 10874, 36081, 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"end": 2904.76, "word": " أخدنا", "probability": 0.967529296875}, {"start": 2904.76, "end": 2905.18, "word": " يعني", "probability": 0.90966796875}, {"start": 2905.18, "end": 2906.74, "word": " جزء", "probability": 0.98828125}, {"start": 2906.74, "end": 2907.04, "word": " كبير", "probability": 0.9967447916666666}, {"start": 2907.04, "end": 2907.24, "word": " من", "probability": 0.99560546875}, {"start": 2907.24, "end": 2907.42, "word": " ال", "probability": 0.84130859375}, {"start": 2907.42, "end": 2908.0, "word": " algorithmات", "probability": 0.75634765625}, {"start": 2908.0, "end": 2908.28, "word": " اللي", "probability": 0.980712890625}, {"start": 2908.28, "end": 2908.82, "word": " بدنا", "probability": 0.989013671875}, {"start": 2908.82, "end": 2909.2, "word": " إياها", "probability": 0.9485677083333334}, {"start": 2909.2, "end": 2910.84, "word": " وإن", "probability": 0.88818359375}, {"start": 2910.84, "end": 2911.02, "word": " شاء", "probability": 0.971435546875}, {"start": 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9cf47608123d152cf05b37ee9eaf784b20ac398f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/gTlgbXnV3os_raw.srt
@@ -0,0 +1,2156 @@
+1
+00:00:20,810 --> 00:00:23,450
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:23,450 --> 00:00:27,790
+المرسلين اليوم احنا ان شاء الله بنبدأ في section
+
+3
+00:00:27,790 --> 00:00:31,490
+عشر او تلاتة اللي هو ال maximum matching in
+
+4
+00:00:31,490 --> 00:00:35,750
+bipartite graphs بس هرجع شوي اكمل لها نقطة صغيرة
+
+5
+00:00:35,750 --> 00:00:41,290
+في عشر او اتنين طبعا بعد بنخلص عشر او تلاتة بنكون
+
+6
+00:00:41,290 --> 00:00:43,810
+أخدنا اللي بدنا هي من هذا ال chapter وال chapter
+
+7
+00:00:43,810 --> 00:00:49,230
+هذا هو اخر chapter معاناوبالتالي بيكونش ختمنا اللى
+
+8
+00:00:49,230 --> 00:00:52,470
+هو التغطية اللى بناياها من ال .. من ال .. من
+
+9
+00:00:52,470 --> 00:00:56,090
+المواضيع فخلينا أروح على طول على عشرة اتنين عشان
+
+10
+00:00:56,090 --> 00:00:59,430
+أكمل اللى نقطة اللى ضايلة في .. او نقطتين اللى
+
+11
+00:00:59,430 --> 00:01:03,990
+ضايلة في ال maximum flow problem و بعدها ندخل على
+
+12
+00:01:03,990 --> 00:01:10,880
+عشرة تلاتةطيب إذا بتذكروا ال maximum flow problem
+
+13
+00:01:10,880 --> 00:01:13,360
+كانت إنه أنا بيبقى في عندي network، ال network هي
+
+14
+00:01:13,360 --> 00:01:17,800
+عبارة عن graph، ال graph هذا يحتوي على source و
+
+15
+00:01:17,800 --> 00:01:21,840
+يحتوي على sink و ال links اللي في ال graph هذا
+
+16
+00:01:21,840 --> 00:01:28,500
+directed و عليها إيش عليها الأوزان تبعتهافانا
+
+17
+00:01:28,500 --> 00:01:33,260
+المطلوب مني اوجد او احسب ال maximum flow اللي يمكن
+
+18
+00:01:33,260 --> 00:01:41,080
+لل source ان يضخه الى ال sink وشوفنا ال method او
+
+19
+00:01:41,080 --> 00:01:45,260
+ال algorithm كيف تتعامل مع هذا الأمر بانها بتبحث
+
+20
+00:01:45,260 --> 00:01:56,140
+عن اللي هو ال flow augmenting path و كل
+
+21
+00:01:56,140 --> 00:02:01,500
+pathأفترض أنه بيحسن في ال flow يعني ال path
+
+22
+00:02:01,500 --> 00:02:06,160
+الأولاني هذا كان ال flow يساوي اتنين بعد ذلك عملنا
+
+23
+00:02:06,160 --> 00:02:11,260
+path أخر اللي هو زاد عليه كمان one وصار تلاتة
+
+24
+00:02:11,260 --> 00:02:13,820
+التلاتة هذه كانت هي ال maximum لأنه بعد ذلك
+
+25
+00:02:13,820 --> 00:02:21,380
+ماقدرناش نطلق نوجد أي مسارات جديدة okayطيب وقولنا
+
+26
+00:02:21,380 --> 00:02:26,780
+ملاحظات على ملاحظة أساسية على هذا الأسلوب أنه إذا
+
+27
+00:02:26,780 --> 00:02:31,040
+ال algorithm ماكانش في عنده وسيلة إنهاتستكشف
+
+28
+00:02:31,040 --> 00:02:36,640
+المصار الأفضل ممكن تدخل في مصار سيء والمصار السيء
+
+29
+00:02:36,640 --> 00:02:40,460
+هذا يدخلها في ال worst case وهذا قلنا عنه
+
+30
+00:02:40,460 --> 00:02:44,440
+efficiency degradation إن ال algorithm تدخل في ال
+
+31
+00:02:44,440 --> 00:02:51,680
+worst case بإنها تصل إلى ال maximum بالتدريج الممل
+
+32
+00:02:51,680 --> 00:02:56,020
+بالتدريج الممل في الحالة هذه كانتكل iteration
+
+33
+00:02:56,020 --> 00:03:00,080
+بتضيف واحد فقط على ال maximum منه، واحد واحد إلى
+
+34
+00:03:00,080 --> 00:03:05,740
+أن نصل الـ 2U وقلنا إن هال الأمر كان علاجه اللي هو
+
+35
+00:03:05,740 --> 00:03:10,080
+إنه يبقى فيه عندي وسيلة أو algorithm أو method
+
+36
+00:03:10,080 --> 00:03:14,400
+لاستكشاف ال shortest augmenting path أو ال first
+
+37
+00:03:14,400 --> 00:03:18,000
+labelled first scanned algorithmهذه ال algorithm
+
+38
+00:03:18,000 --> 00:03:25,340
+هي اللي بتمكن ان نستكشف المسارات الأصلح أولا خلينا
+
+39
+00:03:25,340 --> 00:03:27,880
+نطلع على ال algorithm هذه على السريع انا ذكرت
+
+40
+00:03:27,880 --> 00:03:35,760
+المرة اللي فاتت فكرتها بشكل سريع بدنا نطلع عليها
+
+41
+00:03:35,760 --> 00:03:41,260
+بتفاصيل أكبر شوية احنا الآن ال algorithm هذه
+
+42
+00:03:44,540 --> 00:03:48,060
+عملياً هي بتحل المثال كلها بمعنى انها بتلاقي ال
+
+43
+00:03:48,060 --> 00:03:51,780
+path و بتضيفه خلاص معانا احنا متى ما لاجينا ال
+
+44
+00:03:51,780 --> 00:03:56,340
+path هذا ال shortest augmenting path خلاص بن .. بن
+
+45
+00:03:56,340 --> 00:04:00,940
+.. بناخد ال links اللي فيه و بنضيفها على ال flow
+
+46
+00:04:00,940 --> 00:04:05,180
+طيب كيف قالي اتعملها؟ ان في البداية خلينا ارسم ال
+
+47
+00:04:05,180 --> 00:04:09,740
+.. ارسم نفس ال network .. نفس ال network اللي
+
+48
+00:04:09,740 --> 00:04:12,600
+اشتغلنا عليها المرة اللي فاتت، اللي هي هذه، ان دي
+
+49
+00:04:12,600 --> 00:04:21,710
+واحدأتنين تلاتة ستة خمسة وأربعة ال link من واحد
+
+50
+00:04:21,710 --> 00:04:31,290
+إلى هذي
+
+51
+00:04:31,290 --> 00:04:37,230
+ايش؟ ال zero إلى خمسة وهذه ال zero إلى اتنين
+
+52
+00:04:56,340 --> 00:05:01,480
+Okay ال .. ال algorithm اللي بتبحث عن ال .. ال ..
+
+53
+00:05:01,480 --> 00:05:05,780
+ال best augmenting path او ال shortest augmenting
+
+54
+00:05:05,780 --> 00:05:14,220
+path بتبدأ من ال source اولا احنا بدنا نرجع شويه و
+
+55
+00:05:14,220 --> 00:05:18,620
+نقول ان هذا ال graph ممكن اعمله traversal او
+
+56
+00:05:18,620 --> 00:05:23,410
+scanning بال breadth first searchفبقص عليه على شكل
+
+57
+00:05:23,410 --> 00:05:28,210
+ان هو tree يعني اذا بدخله ك tree بروح بحط الواحد
+
+58
+00:05:28,210 --> 00:05:34,670
+هي ال route و بتفرع منها ايش؟ الاربعة والاتنين صح
+
+59
+00:05:34,670 --> 00:05:40,810
+دول children الان اتنين بتفرع منها التلاتة والخمسة
+
+60
+00:05:40,810 --> 00:05:44,090
+غضب نظر عن من الأول ايش هذه ال link هذه ال zero
+
+61
+00:05:44,090 --> 00:05:50,290
+على تلاتة الاربعة ايش بتفرع منها التلاتة صح
+
+62
+00:05:51,660 --> 00:05:55,740
+والتلاتة بتفرع منها الستة الخمسة والتلاتة بتفرع
+
+63
+00:05:55,740 --> 00:06:00,520
+منهم الستة طبعا عشان ا تري بديش اعمل cycles فبده
+
+64
+00:06:00,520 --> 00:06:07,500
+افصلهم زي هيك الان مش مهم ال تري كيف شكلها المهم
+
+65
+00:06:07,500 --> 00:06:11,580
+كيف ال queue اللي بده تاخدوا ال birth first
+
+66
+00:06:11,580 --> 00:06:14,960
+algorithm هيبقى في يدي الواحد ايش ال children
+
+67
+00:06:14,960 --> 00:06:19,680
+بتفرع منها؟ التنين والاربعة صح؟ بعدين ايش بيجي؟
+
+68
+00:06:20,330 --> 00:06:26,270
+الثالثة والخمسة الصح الاتنين ال children تبعونها
+
+69
+00:06:26,270 --> 00:06:32,110
+بعدين الستة فاحنا هنبدأ من أول واحد في ال Q اللي
+
+70
+00:06:32,110 --> 00:06:36,750
+هي ال I ونشوف إيش ال I هذي طبعا في البداية ال
+
+71
+00:06:36,750 --> 00:06:44,810
+algorithm بتقول إيه أنه بتعمل labeling بتعمل
+
+72
+00:06:44,810 --> 00:06:53,040
+labeling كل ال outputإنه zeros صح هذا من الأساس و
+
+73
+00:06:53,040 --> 00:06:55,760
+برضه بدي أعمل labeling لل vertex اللي هو ال source
+
+74
+00:06:55,760 --> 00:07:02,960
+بإيش infinity و إيش و ناقص الان
+
+75
+00:07:02,960 --> 00:07:09,920
+الواحد هذا بدي أمسكها ال node one بدي أشوف إيش ال
+
+76
+00:07:09,920 --> 00:07:11,120
+edges اللي طالعة منها
+
+77
+00:07:19,340 --> 00:07:21,860
+بشوف إيش ال edges اللي طالع منها طالع منها edge
+
+78
+00:07:21,860 --> 00:07:31,700
+على 2 وطالع منها edge على 15 صح؟ ال link على 2 إيش
+
+79
+00:07:31,700 --> 00:07:38,160
+ال .. الوضع تبعها 0 على 2 وعلى 4 0 على 3 okay هدول
+
+80
+00:07:38,160 --> 00:07:41,200
+ال edges اللي طالعين من ال current node اللي أنا
+
+81
+00:07:41,200 --> 00:07:48,330
+مسكهاالان بدي اسجل ال label تبع ال node تبع T الان
+
+82
+00:07:48,330 --> 00:07:53,390
+ايش؟ اه واحد اتفقنا عنه infinity فبدي اسجل هذا
+
+83
+00:07:53,390 --> 00:07:58,730
+القمر هنا و هنا صح؟ الحالتين هذولة ال edges تنتين
+
+84
+00:07:58,730 --> 00:08:03,230
+هذولة جايات من one مظبوط؟ فهنا ال I يعني ال label
+
+85
+00:08:03,230 --> 00:08:06,690
+تبع I I هي one ففي الحالتين ال label تبع I هو
+
+86
+00:08:06,690 --> 00:08:14,660
+infinity الان بدي ابص على ال edgeمن I إلى 2 من I
+
+87
+00:08:14,660 --> 00:08:21,020
+إلى 4 كداش ال residual تبقى حاشة residual اللي هو
+
+88
+00:08:21,020 --> 00:08:28,340
+ذاكرينه؟
+
+89
+00:08:28,340 --> 00:08:31,820
+اللي هو المتبقى حتى الآن مش مشغول إشي من هدول ال
+
+90
+00:08:31,820 --> 00:08:38,840
+edges 00 فالمتبقى هو كل ال capacity 2 و 3 صح؟
+
+91
+00:08:38,840 --> 00:08:43,860
+okay الآن أنا بدي أخد ال minimumالـ Minimum ما بين
+
+92
+00:08:43,860 --> 00:08:49,460
+مين؟ الان
+
+93
+00:08:49,460 --> 00:08:58,300
+بضحط label لـ J جي مين اللي ماخدة من I يعني اندي I
+
+94
+00:08:58,300 --> 00:09:02,660
+ودول الاتنين ماخدين منها ال label تبع الـ J بيكون
+
+95
+00:09:02,660 --> 00:09:08,020
+الـ Minimum فاصلة مين هي النقود اللي ماعطيها؟ اللي
+
+96
+00:09:08,020 --> 00:09:12,400
+هي I I ببساطة هنعيش الـ Minimum
+
+97
+00:09:15,140 --> 00:09:20,360
+تمام؟ و بعد ذلك بحط plus أو minus عسب ال edge هى
+
+98
+00:09:20,360 --> 00:09:24,240
+forward و لا backward احنا عالنا فى ال graph ده كل
+
+99
+00:09:24,240 --> 00:09:31,560
+ال edges forward ما هاد هادى صح؟ ما هاد هادى اه
+
+100
+00:09:31,560 --> 00:09:38,420
+backward مظبوط؟ مظبوط؟ مظبوط؟ تمام
+
+101
+00:09:41,760 --> 00:09:44,960
+خلّيها الآن هيك على أساس انه لما نيجي نستكشف اللي
+
+102
+00:09:44,960 --> 00:09:48,880
+ده هناخدها backward هدول اللي هم اللي بس بدون ان
+
+103
+00:09:48,880 --> 00:09:53,540
+نحطه على ال node 2 و ال node 4 هاي 2 ايش هحط
+
+104
+00:09:53,540 --> 00:10:02,100
+عليها؟ 2.1 forward ال plus دي يعني forward و ال 4
+
+105
+00:10:02,100 --> 00:10:07,660
+3.1 forward تمام؟
+
+106
+00:10:09,880 --> 00:10:14,020
+هذا الان الـ Q أخدنا منه الان هذا خلصنا الان دور
+
+107
+00:10:14,020 --> 00:10:23,260
+على مين؟ على اتنين اتنين ال label تبعها ايش؟ اتنين
+
+108
+00:10:23,260 --> 00:10:29,500
+واحد forward طالع منها edges على مين؟ على تلاتة
+
+109
+00:10:29,500 --> 00:10:38,440
+وعلى خمسة على تلاتة ال edge Zero خمسة وعلى خمسة
+
+110
+00:10:38,440 --> 00:10:38,840
+Zero
+
+111
+00:10:42,980 --> 00:10:49,580
+تلاتة صح؟ اه؟ الآن ال label تبع I I هي هذه ال
+
+112
+00:10:49,580 --> 00:10:55,840
+label تبع ايش؟ اتنين ال
+
+113
+00:10:55,840 --> 00:11:03,160
+residual من I إلى تلاتة كده المتبقى؟ خمسة مش مشغول
+
+114
+00:11:03,160 --> 00:11:10,770
+اشي كبسطة الخمسة مش مشغول اشي تلاتة ال minimumالـ
+
+115
+00:11:10,770 --> 00:11:16,970
+Minimum اتنين الـ Label الان بيكون اتنين من اتنين
+
+116
+00:11:16,970 --> 00:11:23,010
+Forward برضه اتنين من اتنين Forward اتنين اللي هي
+
+117
+00:11:23,010 --> 00:11:29,690
+ال minimum من اتنين اللي هي ال I Forward فانسجل
+
+118
+00:11:29,690 --> 00:11:33,490
+هذا الكلام على تلاتة ع تلاتة اش و تلاتة اخر و من
+
+119
+00:11:33,490 --> 00:11:37,570
+نفسهم اتنين اتنين Forward اتنين و اتنين Forward
+
+120
+00:11:37,570 --> 00:11:45,510
+نظيف؟ تمامالان حيجي الدور على مين؟ على أربعة حيجي
+
+121
+00:11:45,510 --> 00:11:51,770
+الدور على أربعة أربعة ايش طالع منها؟ بس ال edge
+
+122
+00:11:51,770 --> 00:11:55,670
+واحدة على تلاتة هي أربعة ال label تبقى أربعة موجود
+
+123
+00:11:55,670 --> 00:12:01,890
+كده ايش تلاتة واحد forward okay ال edge قلنا بس
+
+124
+00:12:01,890 --> 00:12:09,390
+منها على تلاتة وحتى الآن هذا ال edgeزيرو على واحد
+
+125
+00:12:09,390 --> 00:12:14,130
+لسه احنا قاعدين نستكشف في ال augmenting path
+
+126
+00:12:14,130 --> 00:12:19,050
+الأولاني اللي هو هذا ال algorithm بتستكشف في ال
+
+127
+00:12:19,050 --> 00:12:26,230
+path عشان تاخده و تضيف ال edges سبعته و تعدل
+
+128
+00:12:26,230 --> 00:12:32,930
+الأرقام هذهلسه امتى .. امتى هيبين معايا ال path
+
+129
+00:12:32,930 --> 00:12:38,830
+لما اصل لستة لما اصل ل ال sink حتى الآن لسه احنا
+
+130
+00:12:38,830 --> 00:12:46,650
+نستكشف ال path شوية شوية جداش ال label تبع I تلاتة
+
+131
+00:12:46,650 --> 00:12:57,110
+جداش ال residual من I ل J واحد مظبوط ليش واحد هو
+
+132
+00:12:57,110 --> 00:13:00,090
+كل ال capacity تبع ال link واحد ومش ماخود منها اشي
+
+133
+00:13:00,690 --> 00:13:06,290
+ففاضل واحد كله تمام ال minimum واحد ال label الآن
+
+134
+00:13:06,290 --> 00:13:13,930
+تبع مين؟ تبع J عبارة عن capacity واحد من أربعة
+
+135
+00:13:13,930 --> 00:13:21,790
+forward و لا backward؟ forward فتلاتة
+
+136
+00:13:21,790 --> 00:13:27,470
+إيش؟خلطة دا الكلام احنا جانيب نعمل labeling لتلاتة
+
+137
+00:13:27,470 --> 00:13:32,130
+طبما تلاتة already labeled خلاص ده مش شطبة مابعملش
+
+138
+00:13:32,130 --> 00:13:36,990
+labeling جديد لواحد already labeled تمام؟ معلش
+
+139
+00:13:36,990 --> 00:13:41,170
+أشطب هذا كله بنحط بداله مين؟ مين اللي بيجي عليه
+
+140
+00:13:41,170 --> 00:13:47,250
+أربعة خلصات؟ تمام؟ خلي بالك احنا واقفين على أربعة
+
+141
+00:13:47,250 --> 00:13:53,700
+و بنبص على إيش ال ..ماخد من أربعة أجيها تلاتة
+
+142
+00:13:53,700 --> 00:13:57,460
+المفروض بما أنه تلاتة already labelled ماسويش شيء
+
+143
+00:13:57,460 --> 00:14:01,360
+بخلص من أربعة و بنتقل الآن على تلاتة بنتقل على
+
+144
+00:14:01,360 --> 00:14:04,400
+تلاتة عشان إيش؟ مش عشان أعملها labeling هي عشان
+
+145
+00:14:04,400 --> 00:14:07,020
+أشوف مين اللي ماخد منها أعمله labeling مين اللي
+
+146
+00:14:07,020 --> 00:14:11,560
+ماخد منها؟ ستة الآن يفترض خلاص هذه الستة أعملها
+
+147
+00:14:11,560 --> 00:14:17,040
+labeling مصبوط الكلام؟ هبنحط إيش تلاتة الآن هي I
+
+148
+00:14:17,040 --> 00:14:17,320
+هنا
+
+149
+00:14:20,080 --> 00:14:23,720
+تلاتة تلاتة إيش ال label تبعها؟ اتنين و اتنين
+
+150
+00:14:23,720 --> 00:14:30,840
+forward ماتيها لمين؟ لستة إيش وضع ال link؟ زيرو
+
+151
+00:14:30,840 --> 00:14:36,480
+على اتنين إيش ال label تبع تلاتة؟ اتنين إيش ال
+
+152
+00:14:36,480 --> 00:14:40,680
+residual؟ اتنين مقل صفر إتنين إيش ال minimum؟
+
+153
+00:14:40,680 --> 00:14:44,080
+اتنين إيش ال labeling الأمر يكون؟ اتنين هذه اللي
+
+154
+00:14:44,080 --> 00:14:52,520
+هي ال minimum اتنين و جاية من تلاتةforward صح؟
+
+155
+00:14:52,520 --> 00:14:56,620
+اتنين جاي من تلاتة forward okay الان تم labeling
+
+156
+00:14:56,620 --> 00:15:04,540
+لاز sink يبقى استكشاف المصار خلص انعرف انه في مصار
+
+157
+00:15:04,540 --> 00:15:09,120
+لان احنا بدأنا من ال source وانتهينا عند ال sink
+
+158
+00:15:09,120 --> 00:15:15,440
+انعرف ال capacity تبعت هذا المصار ليه هذا؟ال label
+
+159
+00:15:15,440 --> 00:15:21,220
+اللي أخدته ال 6 اللي أخدته ال 5 يحتوي على ال .. ال
+
+160
+00:15:21,220 --> 00:15:25,760
+.. ال first label فيه الجزء الأولاني منه هو إيش؟
+
+161
+00:15:25,760 --> 00:15:29,340
+ال capacity تبع هذا مصاري هي 2 إذا طب المصار هو
+
+162
+00:15:29,340 --> 00:15:33,800
+إيش؟ بتكون من إيش؟ إيش القنوات اللي دخلة فيه؟
+
+163
+00:15:33,800 --> 00:15:41,020
+بعرفها بالرجوع backtracking من 6 إلى 3 من 3 إلى من
+
+164
+00:15:41,020 --> 00:15:43,440
+3 إلى
+
+165
+00:15:45,520 --> 00:15:50,980
+من اتنين الى واحد okay فبهذه القالية ال algorithm
+
+166
+00:15:50,980 --> 00:15:55,460
+بتكون استكشفت المصار حددت ال capacity تبعته وخلاص
+
+167
+00:15:55,460 --> 00:16:02,640
+الآن جاهزين ان احنا نعمل update لمين؟ ل ال .. ل ال
+
+168
+00:16:02,640 --> 00:16:06,760
+network ايش update؟ كل اللينكات اللي داخلة كل
+
+169
+00:16:06,760 --> 00:16:11,000
+القنوات اللي داخلة في هذا المصار بدأاش يتاخد منها
+
+170
+00:16:11,000 --> 00:16:14,620
+اتنين okay يتاخد منها اتنين
+
+171
+00:16:19,510 --> 00:16:24,430
+تاخد منها اتنين خدنا
+
+172
+00:16:24,430 --> 00:16:27,610
+هذا المسار الآن بدنا نبحث عن مسار augment .. new
+
+173
+00:16:27,610 --> 00:16:32,310
+augmenting path flow augmenting path جديد اللي
+
+174
+00:16:32,310 --> 00:16:36,970
+يحسن ال value ال .. ال .. ال maximum flow لان
+
+175
+00:16:36,970 --> 00:16:41,790
+بيساوي اتنين كان صفر في الأول اه و اضاف على اتنين
+
+176
+00:16:41,790 --> 00:16:45,790
+الآن بدنا نضيف .. بدنا نشوف اذا في مسار اخر اللي
+
+177
+00:16:45,790 --> 00:16:50,420
+يحسن و يضيف المزيدبنقول نعيش المسار اللي احنا
+
+178
+00:16:50,420 --> 00:16:55,200
+أخدناه له هذا كيف ال algorithm بده تكتشفه تكتشفه
+
+179
+00:16:55,200 --> 00:17:02,740
+بنفس القالية بس هتعمل ال tree و تاخد ال BFSQ تعمل
+
+180
+00:17:02,740 --> 00:17:10,060
+الطابور بس خلّي بالك اقعد الآن ان ال treeأحنا الآن
+
+181
+00:17:10,060 --> 00:17:13,620
+هرب لإلعاب كله من جديد عشان نستكشف المصادر الجديدة
+
+182
+00:17:13,620 --> 00:17:18,960
+الـ tree الآن ال source واحد بس عندي ال child هذا
+
+183
+00:17:18,960 --> 00:17:25,120
+ال link عليه full فماحطوش في ال tree بحط بي ال ..
+
+184
+00:17:25,120 --> 00:17:31,060
+ال child التاني من أربعة بعد هيك إلى تلاتة صح؟من
+
+185
+00:17:31,060 --> 00:17:35,260
+تلاتة إلى تلاتة انا ببص خلّي بالك ان انت بتطلع على
+
+186
+00:17:35,260 --> 00:17:39,180
+ال undirected graph تلاتة في two children طلعت
+
+187
+00:17:39,180 --> 00:17:46,400
+منها بس هذا ال child full بدخلش، بدخل مين؟ التنين،
+
+188
+00:17:46,400 --> 00:17:50,860
+التنين بيفرق لمين؟ لخمسة، و الخمسة بتعطينا ستة،
+
+189
+00:17:50,860 --> 00:17:57,450
+مظبوط؟ okayيبقى الـ Q الآن بيبقى هم هاد أولاه إيش
+
+190
+00:17:57,450 --> 00:18:01,550
+ال breakfast هاي ال parent و هاي ال children
+
+191
+00:18:01,550 --> 00:18:07,310
+تبعونا صح؟
+
+192
+00:18:07,310 --> 00:18:13,430
+و بالنهاية دي الموضوع هذا كله من جديد بس في شغل
+
+193
+00:18:13,430 --> 00:18:20,610
+وهي أنه طبعا هنا هاد هيدلز .. هاد هيكون زي ما هو
+
+194
+00:18:21,560 --> 00:18:27,400
+هذا الان لن يبقى موجود لأن اتنين ليس داخلة في
+
+195
+00:18:27,400 --> 00:18:34,520
+الموضوع اربع ستبقى داخلة و حسبتها هي هي تلاتة ال
+
+196
+00:18:34,520 --> 00:18:39,300
+label هو هو تلاتة واحد forward الآن بعد الأربع
+
+197
+00:18:39,300 --> 00:18:47,600
+تأتي تلاتة تلاتة تأتي واحد اربع plus
+
+198
+00:18:50,420 --> 00:18:55,100
+الان لما نيجي على تلاتة بضحوط تلاتة الآن ايش اللي
+
+199
+00:18:55,100 --> 00:18:59,800
+بي .. ايش ال children .. ال children حسب ال .. اه
+
+200
+00:18:59,800 --> 00:19:03,920
+تلاتة جدش تلاتة ال label تبعها؟ واحد أربعة forward
+
+201
+00:19:03,920 --> 00:19:09,940
+الان ايش اللي بتفرع منها؟ اتنين okay هاي من تلاتة
+
+202
+00:19:09,940 --> 00:19:16,020
+إلى اتنين صح؟أنا هاخدها الآن بس في اتجاه عكس
+
+203
+00:19:16,020 --> 00:19:24,020
+اتجاهها الاصلي بيظل هذا ال I واحد لأن ال level
+
+204
+00:19:24,020 --> 00:19:31,120
+تبقى I بس هنا بدي احط ال residual مش ال link هي 2
+
+205
+00:19:31,120 --> 00:19:36,240
+على 5 يعني اجوه الخمسة مقص اتنين سوى تلاتة تفاجنا
+
+206
+00:19:36,240 --> 00:19:40,320
+انه مش هيك بنعمل في ال backward link ايش بنعمل؟
+
+207
+00:19:40,320 --> 00:19:45,610
+بنحط Xفي الـ Backward Link الـ Capacity .. يعني
+
+208
+00:19:45,610 --> 00:19:51,590
+هنا الـ Capacity الحالية هي المستخدم .. الـ
+
+209
+00:19:51,590 --> 00:19:55,930
+Capacity ناقص المستخدم بس أنا ما بقدر أقول في الـ
+
+210
+00:19:55,930 --> 00:19:58,470
+Backward ما بقدر أقول الـ Capacity ناقص المستخدم
+
+211
+00:19:58,470 --> 00:20:01,330
+بقدر أقول المستخدم لأن هو اللي أنا بقدر أشيل منه
+
+212
+00:20:01,330 --> 00:20:08,310
+فهنا إيش؟ اتنين يعني بدي أعمل هيك R إذا هي Forward
+
+213
+00:20:08,310 --> 00:20:13,500
+و Xإذا هي backward فانا دلوقتي عندي backward إذا
+
+214
+00:20:13,500 --> 00:20:20,840
+ماكنش أحط X اللي هي 2 أخد ال unmean في ال minimum
+
+215
+00:20:20,840 --> 00:20:24,960
+الواحد
+
+216
+00:20:24,960 --> 00:20:30,260
+لأنش ال label هيكون ال label تبع اتنين إيش هيكون
+
+217
+00:20:30,260 --> 00:20:36,680
+اللي هو ال minimum هذا واحد جاي من تلاتة بس إيش
+
+218
+00:20:36,680 --> 00:20:43,790
+backwardOkay واحد جاي من تلاتة backward okay بكمل
+
+219
+00:20:43,790 --> 00:20:48,310
+بعد أيه كان على خمسة وعلى ستة شفاهي الان ستة صفات
+
+220
+00:20:48,310 --> 00:20:53,690
+ايش واحد هذه الان واحد هي ال capacity تبع المسار
+
+221
+00:20:53,690 --> 00:20:59,110
+هذا اللي استكشفناه و جاي من مين من مين معطل ستة
+
+222
+00:20:59,110 --> 00:21:02,790
+خمسة و من مين معطل خمسة اتنين و من مين معطل اتنين
+
+223
+00:21:02,790 --> 00:21:08,390
+تلاتة تلاتة ال label التانيبينما أعطيها تلاتة
+
+224
+00:21:08,390 --> 00:21:14,110
+أربعة بينما أعطيها أربعة واحد okay؟ وبين القالية
+
+225
+00:21:14,110 --> 00:21:18,430
+ال .. ال .. ال .. الثابتة أو يعني الخطوات بتتم
+
+226
+00:21:18,430 --> 00:21:24,050
+استكشاف المصار وبتم إيش تحديد ال capacity تبعته
+
+227
+00:21:24,050 --> 00:21:29,810
+وبيتم updating لل إيش لل edges بعد ما ينعمل update
+
+228
+00:21:29,810 --> 00:21:37,700
+الآن okay؟ لحظة أنهلو انا انحجز الواحد انا بتاخد
+
+229
+00:21:37,700 --> 00:21:41,240
+الواحد اللي انا بتعيد الكرة من جديد لمن؟ للوضع
+
+230
+00:21:41,240 --> 00:21:46,800
+اللي عندي هي عندي الواحد مين بتفرع منها؟ هذا قلنا
+
+231
+00:21:46,800 --> 00:21:54,680
+already full في عندي أربعة أربعة مين بتفرع منها؟
+
+232
+00:21:54,680 --> 00:21:58,140
+فش للتلاتة و already full يبقى مفيش ال three وقفت
+
+233
+00:21:58,140 --> 00:22:03,600
+عليك ال three وقفت عليك اللي انا بتاخدهمبدي أخدهم
+
+234
+00:22:03,600 --> 00:22:12,300
+في ال queue بس الواحد و الأربعة هأخد الواحد هاسم
+
+235
+00:22:12,300 --> 00:22:17,980
+ال label تبعي الأربعة بعد كده من الأربعة بدي أشوف
+
+236
+00:22:17,980 --> 00:22:23,800
+إيش ال edges اللي بتطلع منها مش هلاقي لأنه فشي
+
+237
+00:22:23,800 --> 00:22:28,120
+خلاص أنا وصلت للأربعة فشي notes فشي notes فشي no
+
+238
+00:22:28,120 --> 00:22:34,000
+more notes في ال treeوبالتالي خلص ال Q أنا كل node
+
+239
+00:22:34,000 --> 00:22:39,780
+بخلص منها بشيلها، خلص ال Q وانا ماوصلتش لمين لل
+
+240
+00:22:39,780 --> 00:22:44,860
+sink، I cannot find anymore path فبتيجي في ال
+
+241
+00:22:44,860 --> 00:22:50,000
+algorithm وبيكون الوضع الليأنتهت عليه وهو ال
+
+242
+00:22:50,000 --> 00:22:52,560
+solution ال time efficiency احنا فيها ان ال number
+
+243
+00:22:52,560 --> 00:22:56,060
+of augmenting paths انه انا قاعد في ال algorithm
+
+244
+00:22:56,060 --> 00:23:00,000
+باستكشف augmenting path واحد ورد تاني في المثال
+
+245
+00:23:00,000 --> 00:23:03,160
+تبعنا هذا كانوا بس اتنين okay the number of
+
+246
+00:23:03,160 --> 00:23:06,080
+augmenting paths needed by the shortest augmenting
+
+247
+00:23:06,080 --> 00:23:10,310
+path algorithm never exceedsحصل ضرب عدد ال
+
+248
+00:23:10,310 --> 00:23:17,350
+vertices في عدد ال edges N عدد ال vertices و M عدد
+
+249
+00:23:17,350 --> 00:23:22,510
+ال edges على اتنين الان ال time required for a
+
+250
+00:23:22,510 --> 00:23:26,130
+shortest path by breadth-first عشان انها تلف على
+
+251
+00:23:27,520 --> 00:23:34,280
+اللي تلف على النص تجيب ال path N زاد M big O of N
+
+252
+00:23:34,280 --> 00:23:38,500
+زاد M مين اللي أكبر N ولا ال M ال M هي ال edges و
+
+253
+00:23:38,500 --> 00:23:43,080
+ال N هي ال vertices مين اللي عادة بيكون أكبر ال M
+
+254
+00:23:43,080 --> 00:23:47,500
+ال edges أكبر من ال vertices ف big O of M هذا for
+
+255
+00:23:47,500 --> 00:23:51,800
+networks represented by their adjacency لسة لكن لو
+
+256
+00:23:51,800 --> 00:23:57,660
+بدنا تكون represented by okayTime efficiency for
+
+257
+00:23:57,660 --> 00:24:00,780
+the shortest augmenting path اللي بتجيب المسارات
+
+258
+00:24:00,780 --> 00:24:08,300
+عبارة نم² فانا في يدي نم مضروبة في كمان م اللي هي
+
+259
+00:24:08,300 --> 00:24:16,140
+تبعت من تبعت ال breakfast فنم² ال نم هذه اللي هي
+
+260
+00:24:16,140 --> 00:24:19,700
+نم على اتنين اللي هي تبعت من استكشاف ال shortest
+
+261
+00:24:19,700 --> 00:24:26,750
+pathفي عندى انا عدد من ال .. في عدد من ال nodes في
+
+262
+00:24:26,750 --> 00:24:32,050
+ال .. في ال grid face و عند كل node مش كل node هي
+
+263
+00:24:32,050 --> 00:24:37,050
+عبارة عن I و عند كل I انا بدى اعمل عملية هذه ف N M
+
+264
+00:24:37,050 --> 00:24:44,490
+ضرب M ضرب M N M ضرب M ف N M Square okay الان هذا
+
+265
+00:24:44,490 --> 00:24:50,490
+الكلام ممكن .. okay فيه اللي هو algorithmicأفضل
+
+266
+00:24:50,490 --> 00:24:54,490
+إيش يمكن يتحسن عليه اللي هو big O of N M يعني يمكن
+
+267
+00:24:54,490 --> 00:25:00,550
+يتخفف إلى big O of N M بدل N M Square هذا كله على
+
+268
+00:25:00,550 --> 00:25:04,290
+فرض أنه نستخدم adjacency lists مش adjacency
+
+269
+00:25:04,290 --> 00:25:09,680
+matricesالـ JSLC Matrix إنه أنا بدي أجيب كل Node و
+
+270
+00:25:09,680 --> 00:25:13,820
+أسجل مقابل كل واحد من الـ Other Nodes إيش فيه ما
+
+271
+00:25:13,820 --> 00:25:16,480
+بينها Link و جدّيش الـ Link هذه الـ Capacity بتا
+
+272
+00:25:16,480 --> 00:25:20,760
+فبدي أعمل Matrix لأ إحنا بنحكي عن الـ JSLC List
+
+273
+00:25:20,760 --> 00:25:29,440
+okay طيب okay هذا الآن آخر ملاحظة تانية إضافة على
+
+274
+00:25:29,440 --> 00:25:35,100
+الموضوع ال network ال maximum network flow إنهفي
+
+275
+00:25:35,100 --> 00:25:39,780
+حاجة اسمها الـ Network Cut الـ Network Cut ركزوا
+
+276
+00:25:39,780 --> 00:25:43,080
+معايا بس في هالجزئية الصغيرة تاخد معانا slide
+
+277
+00:25:43,080 --> 00:25:46,680
+واحدة بس لو انت لاحظت الآن لو جيت على هذا ال
+
+278
+00:25:46,680 --> 00:25:48,720
+network هذا ال network الان خلاص هنا .. هنا ال
+
+279
+00:25:48,720 --> 00:25:54,800
+solution مظبوط لو انت جيت وقلت خلينا نعمل Cut فصل
+
+280
+00:25:54,800 --> 00:25:58,640
+ما بين ال nodes حيث ان جزء منهم في ناحية و جزء
+
+281
+00:25:58,640 --> 00:26:03,720
+التاني في ناحية زيك مثلاأو زي هيك أو ممكن أفصل زي
+
+282
+00:26:03,720 --> 00:26:09,700
+هيك كل cut بتحط vertices في ناحية و vertices أخرى
+
+283
+00:26:09,700 --> 00:26:14,880
+في ناحية في cuts بسيطة جدا زي مثلا هذه لو أنا حطيت
+
+284
+00:26:14,880 --> 00:26:22,720
+الواحد في ناحية و الباقي في ناحية أخرى هينبسط هذا
+
+285
+00:26:22,720 --> 00:26:23,780
+الكلام على السريع
+
+286
+00:26:28,460 --> 00:26:32,500
+من غير الأرقام ومن غير ال labels نفسهم المرة تانية
+
+287
+00:26:32,500 --> 00:26:39,520
+هاي واحد وهي اتنين وهي التلاتة وهي الستة هاي
+
+288
+00:26:39,520 --> 00:26:46,660
+الأربعة وهي الخمسة
+
+289
+00:26:46,660 --> 00:26:52,360
+مظبوط ايه؟ انا انا بدي اعمل cut اللي يفصل بدي احط
+
+290
+00:26:52,360 --> 00:27:02,470
+X بدي احط ال one في ناحيةوالباقي X bar اللي هو ال
+
+291
+00:27:02,470 --> 00:27:09,790
+complement تباع X بيكون كل ال other nodes، مظبوط؟
+
+292
+00:27:09,790 --> 00:27:17,410
+إتنين و تلاتة و أربعة و خمسة و ستة، okay؟ هذي one
+
+293
+00:27:17,410 --> 00:27:25,110
+cut cut أخرى ممكن أنا جي أفصل ال main ال sink في
+
+294
+00:27:25,110 --> 00:27:35,620
+ناحيةوالباقي في ناحية X 1,2,3,4,5 و X bar 6 وممكن
+
+295
+00:27:35,620 --> 00:27:43,580
+اعمل اي cut يعني ماشي 1,2,4 و3
+
+296
+00:27:43,580 --> 00:27:48,660
+,5,6 في ناحية التانية الان اللي يعنينا احنا ان كل
+
+297
+00:27:48,660 --> 00:27:53,600
+واحد من ال cuts دولة لها costالـ cost تبعتها هي ال
+
+298
+00:27:53,600 --> 00:27:56,900
+total cost تبع ال edges اللي فيها يعني إيش ال
+
+299
+00:27:56,900 --> 00:28:00,340
+edges اللي فيها؟ هاد ال cut مرت على مين من ال
+
+300
+00:28:00,340 --> 00:28:05,940
+edges؟ على هدول التلاتة هي فصلت ال vertices بس
+
+301
+00:28:05,940 --> 00:28:11,020
+عشان تفصلهم عمليا ال cut هي إزالة لليش؟ تخيلي إنه
+
+302
+00:28:11,020 --> 00:28:17,700
+احنا هدول ال edges أزلناهم okay؟ هيو هنا هيو هنا
+
+303
+00:28:17,700 --> 00:28:23,040
+ال cut هذهالقطة دي عبارة عن واحد و اتنين و واحد
+
+304
+00:28:23,040 --> 00:28:25,700
+اربعة القطة دي عبارة عن واحد و اتنين و واحد اربعة
+
+305
+00:28:25,700 --> 00:28:30,400
+ازلناهم فضل اشتت واحد عشجم و الباقى عشجم فكل edge
+
+306
+00:28:30,400 --> 00:28:35,060
+ال course تبعتها هي عبارة عن ال total course تبعت
+
+307
+00:28:35,060 --> 00:28:39,080
+ال edges كل cut ال total course تبعتها ال edges ال
+
+308
+00:28:39,080 --> 00:28:44,800
+course تبعت ال edges اللى فيها okay وفي ان شرط
+
+309
+00:28:44,800 --> 00:28:51,580
+المهم و هو ان ال cutتبقى .. مش فاهم احنا ال edges
+
+310
+00:28:51,580 --> 00:28:59,640
+هذه directed لما
+
+311
+00:28:59,640 --> 00:29:07,640
+انا و جيت اعملت مصار اخدت هذه بهذا الاتجاه المصار
+
+312
+00:29:07,640 --> 00:29:11,740
+اللي انا .. المصارات اللي استكشفتها هذا .. هذا
+
+313
+00:29:11,740 --> 00:29:16,960
+المصار .. هذا المصار هنهيتها في الآخر ال solution
+
+314
+00:29:16,960 --> 00:29:17,440
+تبعنا
+
+315
+00:29:22,240 --> 00:29:27,260
+سلوشن تبعنا حدد ان انا بدي اخد ال edge هذه في ايش
+
+316
+00:29:27,260 --> 00:29:33,180
+في الاتجاه هذا okay فانا الآن يوم انا بطلع على ال
+
+317
+00:29:33,180 --> 00:29:36,640
+edges اللي واقع على ال cut بدي اخد بس ال edges
+
+318
+00:29:36,640 --> 00:29:41,560
+اللي ال deal تبعها في ضفة و الرأس في ضفة التاني
+
+319
+00:29:41,560 --> 00:29:48,550
+يعني هدولةالدل تبعها في X والرأس تبعها في X bar
+
+320
+00:29:48,550 --> 00:29:54,910
+هذه ليست انطباق هذه عكس الرأس تبعها في X والدل
+
+321
+00:29:54,910 --> 00:30:03,010
+تبعها في X bar صح؟ لو انا اخدت هذول ال edges كده
+
+322
+00:30:03,010 --> 00:30:09,760
+ال cost تبع ال edge هذه؟ تلاتةو هد قداش .. هد خلاص
+
+323
+00:30:09,760 --> 00:30:15,600
+بدنا اشيها لأنها مخالفة هد قداش ال cost واحد هد ال
+
+324
+00:30:15,600 --> 00:30:20,280
+cost قداش اتنين بالمرة نسجلهم اربعة هد ايش اتنين و
+
+325
+00:30:20,280 --> 00:30:26,340
+هد تلاتة صح؟ الحين هد ال cut قداش ال cost صباحها
+
+326
+00:30:26,340 --> 00:30:30,620
+total اربعة
+
+327
+00:30:30,620 --> 00:30:36,180
+طيب لو بدنا ناخد هد ال cut قداش ال total6 اذا اريد
+
+328
+00:30:36,180 --> 00:30:43,700
+ان اخذ هذا ال cut كم هو ال total؟ خمسة مظبوط؟ طيب
+
+329
+00:30:43,700 --> 00:30:48,280
+لو اخذت هذا ال cut ثلاثة
+
+330
+00:30:48,280 --> 00:30:53,620
+صح؟ واحد و اتنين اولا تطلع على ال edges مطابق
+
+331
+00:30:53,620 --> 00:30:57,540
+للشرط ان ال deal في flow ما بين ال minimum cut
+
+332
+00:30:57,540 --> 00:31:01,540
+ماهو ال minimum cut؟ ال cut اللي اقل تكلفة فهدول
+
+333
+00:31:01,540 --> 00:31:06,730
+اللي انا عملتهم مين اقل تكلفة؟هذه تلاتة، هذه
+
+334
+00:31:06,730 --> 00:31:12,950
+أربعة، هذه ستة، هذه خمسة، التلاتة هي الأقل ال
+
+335
+00:31:12,950 --> 00:31:18,770
+minimum cut ال cost تساوي ال maximum flow مش احنا
+
+336
+00:31:18,770 --> 00:31:23,750
+طلع معانا ال maximum flow تلاتة، واحد و اتنين،
+
+337
+00:31:23,750 --> 00:31:25,350
+مظبوط؟
+
+338
+00:31:28,720 --> 00:31:33,580
+باختصار شديد، the value of a maximum flow in a
+
+339
+00:31:33,580 --> 00:31:37,520
+network is equal to the capacity of its minimum
+
+340
+00:31:37,520 --> 00:31:41,180
+cutالان واضحة ايش يعني ال cut واضحة ايش يعني ال
+
+341
+00:31:41,180 --> 00:31:45,420
+cost تبع ال cut واضحة كيف بحسب ال cost تبع ال cut
+
+342
+00:31:45,420 --> 00:31:49,360
+بستثني .. بحسب فقط ال edges اللي ال delta تبعها في
+
+343
+00:31:49,360 --> 00:31:54,000
+X و الرأس تبعها في X bar okay الان واضحة ايش يعني
+
+344
+00:31:54,000 --> 00:31:57,540
+ال minimum cut ال cut اللي ال cost تبعتها اقل هذا
+
+345
+00:31:57,540 --> 00:32:00,380
+ال cut اللي ال cost تبعتها اقل ال value تبعها
+
+346
+00:32:00,380 --> 00:32:05,040
+اليسار و ال value تبعه يعني انا بقدر احل مسألة ال
+
+347
+00:32:05,040 --> 00:32:11,580
+maximum flow problemبإني أطلع ال maximum flow بإني
+
+348
+00:32:11,580 --> 00:32:15,860
+أشوف ال cuts و أطلع ال minimum cut و ال value
+
+349
+00:32:15,860 --> 00:32:19,940
+تبعها هو .. بس ما بيعطيني .. ما بتعطيني ال edges
+
+350
+00:32:19,940 --> 00:32:25,280
+بالظبط كيف يتشكل المسار .. okay؟ خلاص هي ك .. احنا
+
+351
+00:32:25,280 --> 00:32:29,340
+بنكون .. أخدنا اللي بدنا هي من عشرة اتنين بدنا
+
+352
+00:32:29,340 --> 00:32:34,290
+انحل اتنين زي التلاتةالان عشرة تلاتة موضوع صغير
+
+353
+00:32:34,290 --> 00:32:40,430
+جدا بنجمله في عشر دقائق okay عشرة تلاتة بدنا احنا
+
+354
+00:32:40,430 --> 00:32:44,730
+..
+
+355
+00:32:44,730 --> 00:32:50,510
+خلاص سجلتوا هالكلام؟ عشرة تلاتة بتعامل مع problem
+
+356
+00:32:50,510 --> 00:32:57,800
+بسيطة برضهبرضه كمان جاي في اطار الاش ال iterative
+
+357
+00:32:57,800 --> 00:33:00,400
+improvement، احنا فهمنا وين ال iterative
+
+358
+00:33:00,400 --> 00:33:04,040
+improvement في عشر اتنين في موضوع اللي هو ال
+
+359
+00:33:04,040 --> 00:33:07,640
+network flow، انه انا كل مرة ب .. ابحث عن مسار
+
+360
+00:33:07,640 --> 00:33:12,760
+جديد اللي يعطيني تحسين في ال ..في ال flow هنا انا
+
+361
+00:33:12,760 --> 00:33:15,460
+هندي مسألة تانية برضه بتنحل بال iterative
+
+362
+00:33:15,460 --> 00:33:19,980
+improvement افترض ان احنا فيها عدة اشخاص و الاشخاص
+
+363
+00:33:19,980 --> 00:33:24,600
+هدولة موظفين و كل واحد منهم يستطيع انا اعلم انه
+
+364
+00:33:24,600 --> 00:33:29,020
+يستطيع و عندي عدة مهام يعني و اعلم ان فلان يستطيع
+
+365
+00:33:29,020 --> 00:33:32,860
+ان يعمل المهام كلها بينما فلان بيقدر يعمل هذه و
+
+366
+00:33:32,860 --> 00:33:36,760
+هذه فلان بيقدر يعمل فقط واحدة فاعتبري هدولة هم
+
+367
+00:33:36,760 --> 00:33:37,460
+الأشخاص
+
+368
+00:33:40,800 --> 00:33:46,420
+و هدولة هما هيش ال jobs او ال tasks فعندي اتنين
+
+369
+00:33:46,420 --> 00:33:50,520
+بيقدر يعملهم بيعمل اي واحد من ال tasks رقم واحد
+
+370
+00:33:50,520 --> 00:33:53,840
+بيقدر يعمل بس هدي و هدي رقم تلاتي بيقدر يعمل بس
+
+371
+00:33:53,840 --> 00:33:57,840
+هدي اربع بيقدر يعمل بس هدي انا انا مش ديش اعمل job
+
+372
+00:33:57,840 --> 00:34:03,420
+assignment يعني بدي اعمل بس انه كل واحد اكلفه
+
+373
+00:34:03,420 --> 00:34:08,500
+بمهمة بحيث انه مايضلش ولا واحد من هدولة غير مكلف
+
+374
+00:34:08,500 --> 00:34:13,960
+ولا واحد من ال jobsمش هذا .. هذا إني استطعت لأنه
+
+375
+00:34:13,960 --> 00:34:18,880
+ممكن .. ممكن طبيعة العلاقة ما بين هدولة و هدولة في
+
+376
+00:34:18,880 --> 00:34:24,340
+الآخر تقيدني ألاقي إنه في أشخاص لا يمكن أني أعملهم
+
+377
+00:34:24,340 --> 00:34:29,560
+assignment ل jobs و العكس صحيح فال maximum
+
+378
+00:34:29,560 --> 00:34:35,120
+matching هي إنه أنا أحصل على أفضل matching .. إيش
+
+379
+00:34:35,120 --> 00:34:38,420
+يعني أفضل matching؟ يعني قدر الإمكان
+
+380
+00:34:41,230 --> 00:34:46,090
+Vertices من هنا تاخد قرين لها من الناحية التانية
+
+381
+00:34:48,300 --> 00:34:52,240
+عمل مزاوجة ما بين North واحدة و Vertex واحدة من
+
+382
+00:34:52,240 --> 00:34:56,920
+هذا الناحية مع Vertex واحدة فقط فكيف بده يكون ال
+
+383
+00:34:56,920 --> 00:35:00,700
+solution يعني انا لو بده افكر فيها باجي بقول ربما
+
+384
+00:35:00,700 --> 00:35:07,500
+اجي okay لو انا الان اعطيت واحد اعطيته خمسة الان
+
+385
+00:35:07,500 --> 00:35:11,540
+اتنين مقدرش ياخد خمسة خلاص راحت okay واحد مقدرش
+
+386
+00:35:11,540 --> 00:35:15,400
+ياخد الان اتنين مالوش لأ اما ياخد واحد من هدولة
+
+387
+00:35:15,800 --> 00:35:20,980
+تلاتة خلاص مش هيقدر لو انا اعطيت تلاتة حملة هذه
+
+388
+00:35:20,980 --> 00:35:26,000
+واحد مقدر ياخد هذه صح؟ لكن اربعة مقدرش ياخد
+
+389
+00:35:26,000 --> 00:35:28,980
+فهيضلوا اربع .. يعني لازم يظل يطلع عند واحد من
+
+390
+00:35:28,980 --> 00:35:32,860
+هدولة او هدى ربما ياخد .. يعني واحد منهم مش ماخد
+
+391
+00:35:32,860 --> 00:35:41,040
+job فافضل اشي انا ممكن احصل عليه هو هيك تمام؟
+
+392
+00:35:42,550 --> 00:35:46,730
+أحد ياخد خمسة، ثالث تاخد خمسة، اتنين تاخد سبعة،
+
+393
+00:35:46,730 --> 00:35:52,170
+أربع مالوش، وتماني مالهاش، مظبوط؟ هذا ال maximum
+
+394
+00:35:52,170 --> 00:35:55,050
+اللي أنا حصلت عليه حتى، لأن فيه ممكن أحسن أو أحسن
+
+395
+00:35:55,050 --> 00:35:59,330
+من هيك، أنا بقول مافيش مجال، ليش؟ لأن التربيط اللي
+
+396
+00:35:59,330 --> 00:36:04,690
+معايا، ال graph اللي عندي، بحكمني، okay؟ فهذا ال
+
+397
+00:36:04,690 --> 00:36:08,770
+problem، ال problem أنهالمشكلة هي أن تجد الـ
+
+398
+00:36:08,770 --> 00:36:11,910
+maximum matching في الـ bipartite graphs، الـ
+
+399
+00:36:11,910 --> 00:36:15,570
+bipartite graphs هي graphs، نود أو vertices،
+
+400
+00:36:15,570 --> 00:36:19,890
+مابينها edges، ولكن جايين بحيث أنهم ال vertices
+
+401
+00:36:19,890 --> 00:36:30,390
+مستقطبين أو موزعين على ناحيتين، كل ناحية هي حزب
+
+402
+00:36:30,390 --> 00:36:30,930
+يعني
+
+403
+00:36:35,690 --> 00:36:40,370
+واش المطلوب؟ المطلوب ان اعمل مجموعة من ال matches
+
+404
+00:36:40,370 --> 00:36:50,130
+او ال matchings هنا واحد مع ستة تلاتة مع خمسة
+
+405
+00:36:50,130 --> 00:36:53,570
+اتنين مع سبعة
+
+406
+00:36:56,390 --> 00:37:00,670
+وخلاص هذه اللي طلع معايا فال M هي مجموعة ال
+
+407
+00:37:00,670 --> 00:37:03,910
+matches ايش يعني مجموعة ال matches او ال matchings
+
+408
+00:37:03,910 --> 00:37:09,450
+اللي هي ال edges ال edges اللي على كل ناحية منها
+
+409
+00:37:09,450 --> 00:37:15,910
+واحدة في طرف و التاني في طرف اخر node في طرف هذا V
+
+410
+00:37:15,910 --> 00:37:20,270
+هذا الطرف اسمه V و هذا الطرف اسمه U فاندي ال graph
+
+411
+00:37:20,270 --> 00:37:26,110
+اصلا ال graphمش احنا ال graph ناخد عبارة عن مجموعة
+
+412
+00:37:26,110 --> 00:37:29,590
+vertices ومجموعة edges بدنا ننظر على ال graph على
+
+413
+00:37:29,590 --> 00:37:36,910
+انه مجموعتين vertices ومجموعة
+
+414
+00:37:36,910 --> 00:37:41,810
+edges ويش
+
+415
+00:37:41,810 --> 00:37:45,350
+المطلوب؟ given انه اذا اعطيت هذا ال .. ومافيش ..
+
+416
+00:37:45,350 --> 00:37:48,630
+مافيش capacity ومافيش weight ولا اي شي ال edges
+
+417
+00:37:48,630 --> 00:37:55,430
+جاية هي كسادة بدي اطلع Mاللي هي مجموعة الـ Matches
+
+418
+00:37:55,430 --> 00:38:00,010
+أو الـ Matchings اللي بتربط كل Matching is an Edge
+
+419
+00:38:00,010 --> 00:38:05,970
+Edge بتربط ما بين واحد Vertex .. Vertex في V و
+
+420
+00:38:05,970 --> 00:38:11,870
+Vertex آخر في U All right، الآن المسألة يعني كيف
+
+421
+00:38:11,870 --> 00:38:16,130
+بدنا نتعامل معاها بالـ Iterative Improvement الـ
+
+422
+00:38:16,130 --> 00:38:23,010
+Iterative Improvement فيه سماء ..أنا ببدأ من some
+
+423
+00:38:23,010 --> 00:38:28,090
+solution وبجود أحسن عليه some solution ها هي some
+
+424
+00:38:28,090 --> 00:38:35,510
+solution بعد ك بدأ أبدأ أشوف كيف ممكن أزيد هذا ال
+
+425
+00:38:35,510 --> 00:38:45,020
+solution هذا M بساوي ايش اربعة ستة تلاتة خمسةبنشوف
+
+426
+00:38:45,020 --> 00:38:48,420
+كيف ممكن أنا أزيد هدولة و أضيف عليهم كمان more
+
+427
+00:38:48,420 --> 00:38:52,720
+edges إلى إن أصل إلى ال maximum يعني ماقدرش أضيف
+
+428
+00:38:52,720 --> 00:38:57,900
+بعد هيك okay ال maximum matching problem أحيانًا
+
+429
+00:38:57,900 --> 00:39:02,340
+يسمى ال maximum cardinality problem بمعنى إيش
+
+430
+00:39:02,340 --> 00:39:06,420
+cardinality يعني عدد هذا المجموعة عددها أكبر ما
+
+431
+00:39:06,420 --> 00:39:12,420
+يمكن okay مجموعة ال matching طيب فخلينا ناخد
+
+432
+00:39:12,420 --> 00:39:18,940
+المثال هذاعشان .. أول شي هذا كله بس مجرد تعريف أنه
+
+433
+00:39:18,940 --> 00:39:22,420
+هدول عبارة عن matchings، هدي matching وهدي another
+
+434
+00:39:22,420 --> 00:39:28,820
+matching، okay؟ آسف، ال matching هي مجموعة ال
+
+435
+00:39:28,820 --> 00:39:35,700
+edges اللي داخلة، okay؟ بعد هيك ..هذا matched
+
+436
+00:39:35,700 --> 00:39:40,540
+vertex لأنه ربط معاه بينما هذا مش مربوط بحده فهو
+
+437
+00:39:40,540 --> 00:39:49,900
+unmatched او free طيب الآن ال method ان زي ما قلت
+
+438
+00:39:49,900 --> 00:39:56,060
+انا بنبدأ ببنبدأ بـ some solution هي هنا خمسة مع
+
+439
+00:39:56,060 --> 00:40:00,760
+تسعة وأربعة مع تمانية.الآن إيش بعد كده بدي أسوي؟
+
+440
+00:40:00,760 --> 00:40:03,980
+بدي أحاول أضيف كمان more edges على هذا ال
+
+441
+00:40:03,980 --> 00:40:09,330
+matching.فبمسك ال V بشوف إيش من ال vertices اللي
+
+442
+00:40:09,330 --> 00:40:15,130
+فيها لازال unmatched أو free و بشوف إيش ممكن أعمله
+
+443
+00:40:15,130 --> 00:40:20,810
+matching مع vertices في ال .. فهي باخد الواحد و مع
+
+444
+00:40:20,810 --> 00:40:26,530
+الستة و هاي .. هاي improvementمظبوط ولا لأ؟ بس إذا
+
+445
+00:40:26,530 --> 00:40:33,370
+عندي أنا ال M تساوي اللي هو إيش كانت أربعة تمانية
+
+446
+00:40:33,370 --> 00:40:41,070
+وخمسة تسعة الآن صارت معاها واحد وستة okay لإن هو
+
+447
+00:40:41,070 --> 00:40:44,110
+أنا واحد ستة اللي هي ال link هذه سماها path
+
+448
+00:40:44,110 --> 00:40:49,790
+augmenting path okay وهنا الفكرة تبعتي انه أنا
+
+449
+00:40:49,790 --> 00:40:57,230
+عمليا ببحث عن مصار من ال nodesالمسار هذا زيك زاج
+
+450
+00:40:57,230 --> 00:41:00,950
+سمعته في المصطلح هذا زيك زاج يعني مرة من ناحية و
+
+451
+00:41:00,950 --> 00:41:06,050
+بعدين بروح على ناحية و بعدين برود تاني زيك زاج
+
+452
+00:41:06,050 --> 00:41:11,710
+okay all right ماعرفش عليكوا ال .. okay فاحنا الآن
+
+453
+00:41:11,710 --> 00:41:15,550
+ال .. ال .. ال algorithm مش متساوي و تحاول تبحث عن
+
+454
+00:41:15,550 --> 00:41:22,110
+مسارات زيك زاج paths بحيث انه تبدأ في free و تمتهي
+
+455
+00:41:22,110 --> 00:41:30,860
+ب freeتبدأ بـ3 من V وتنتهي بـ3 من U لجت و المسار
+
+456
+00:41:30,860 --> 00:41:35,380
+هذا طوله واحد خلاص بتحطه و بتروح تبحث على واحد
+
+457
+00:41:35,380 --> 00:41:43,560
+تاني فأول iteration بعد ال initial وجدت مسار بسيط
+
+458
+00:41:43,560 --> 00:41:48,170
+جدا يتكون بس من one edgeيحقق هذا ال .. لأنه زيك
+
+459
+00:41:48,170 --> 00:41:52,010
+زاك و يبدأ ب free و ينتهي ب free الان هل في مجال
+
+460
+00:41:52,010 --> 00:41:58,090
+انه نحسن بواحد اخر بنشوف ايش فيه انه ضال free في
+
+461
+00:41:58,090 --> 00:42:02,930
+ال V ففي عندي الاتنين هاي الاتنين انا بقدر اروح
+
+462
+00:42:02,930 --> 00:42:08,890
+الستة الان متاخدة matched okay ماقدرش اربطها فماشي
+
+463
+00:42:08,890 --> 00:42:12,370
+سويا اروح على التلاتة برضه match اروح على التبانية
+
+464
+00:42:12,370 --> 00:42:17,220
+matched جفلة الحكاية؟ لأالفكرة تبع الـ augmenting
+
+465
+00:42:17,220 --> 00:42:24,220
+path انه انا ايش ممكن اسوي؟ ابدا بواحدة unmatched
+
+466
+00:42:24,220 --> 00:42:30,520
+وانتقل عبر link فاضي لسه مش مشغولةواروح على واحدة
+
+467
+00:42:30,520 --> 00:42:36,480
+مشغولة وارجع بواحدة مش مشغولة يعني هو زيك زاك من
+
+468
+00:42:36,480 --> 00:42:40,820
+ناحية انه بيبدأ من ضف .. بيتنقل ما بين الضفتين
+
+469
+00:42:40,820 --> 00:42:47,360
+وايضا alternating من حيث انه ال edge الأولى مش في
+
+470
+00:42:47,360 --> 00:42:54,740
+M وبنتقل منها ال edge في M بعدين edge مش في Mهو
+
+471
+00:42:54,740 --> 00:42:57,900
+بيعمل alternating برضه، مش بس alternating ما بين
+
+472
+00:42:57,900 --> 00:43:01,660
+الضفتين، اللي alternating ما بين ال edges اللي في
+
+473
+00:43:01,660 --> 00:43:05,500
+M و اللي مش في M، الآن هذه اتنين، ستة موجودة في M؟
+
+474
+00:43:05,500 --> 00:43:09,820
+لأ، أنا ممكن اجي، اقول خلينا نحطها في ال path،
+
+475
+00:43:09,820 --> 00:43:13,980
+ستة، واحد موجودة في M؟ موجودة، طيب موجودة أخدها،
+
+476
+00:43:13,980 --> 00:43:18,280
+ماشي خليها الآن، هاي اتنين، ستة، ستة، واحد، بعدين
+
+477
+00:43:18,280 --> 00:43:24,130
+واحد، سبعة، هذا ده المصاروهذا مطبق علي الشرط انه
+
+478
+00:43:24,130 --> 00:43:31,290
+بدأ ب node في V وانتهى ب node في U وانه ال links
+
+479
+00:43:31,290 --> 00:43:37,410
+هذي مش في M هذي في M هذي مش في M صح؟ الان اش هسوي
+
+480
+00:43:37,410 --> 00:43:44,070
+وساطة هذي ال link بثبتها هذي ال link بحذفها هذي ال
+
+481
+00:43:44,070 --> 00:43:49,250
+link بثبتها شو معناته؟ معناته انا حاجة اشيل هذه
+
+482
+00:43:49,250 --> 00:43:54,580
+واضيف بدالها مين؟يعني الـ M ده تصبح إيش؟ أربعة
+
+483
+00:43:54,580 --> 00:44:04,200
+تمانية، خمسة تسعة، هذه راحت، اتنين، ستة، واحد،
+
+484
+00:44:04,200 --> 00:44:11,760
+سبعة، okay؟ يعني اتنين،
+
+485
+00:44:11,760 --> 00:44:19,740
+هذه راحت، وهذه أجت، مظبوط؟ صار في عندي الـ N
+
+486
+00:44:20,610 --> 00:44:23,970
+matching أفضل العدد set مش احنا بنحكي عن
+
+487
+00:44:23,970 --> 00:44:27,330
+cardinality عدد عناصر ال set هذه المجموعة وهي
+
+488
+00:44:27,330 --> 00:44:32,250
+عناصرها okay
+
+489
+00:44:32,250 --> 00:44:36,950
+بقوا تلاتة صاروا أربعة و بيحققوا اللي اللي انا
+
+490
+00:44:36,950 --> 00:44:43,250
+بديه يعني كل edge بتجمع ما بين two vertices واحدة
+
+491
+00:44:43,250 --> 00:44:45,030
+من هذا الناحي واحدة من هذا الناحي واحدة من ناحية
+
+492
+00:44:45,030 --> 00:44:50,290
+أخرىإذا قدرت أنا أكمل و ألاقي more paths اللي تحسن
+
+493
+00:44:50,290 --> 00:44:55,770
+.. تحسنياش؟ عدد علاصر الـM، الـZ خلينا نشوف الآن
+
+494
+00:44:55,770 --> 00:45:00,110
+لأن الـ2 و الـ1 صاروا matched مين اللي ضال مش
+
+495
+00:45:00,110 --> 00:45:08,050
+matched؟ ضال عندي التلاتة فوق و مين تحت؟ العشرة؟
+
+496
+00:45:08,050 --> 00:45:14,270
+مظبوط ولا لا؟ هل بقدر ألاقي مسار من التلاتة
+
+497
+00:45:14,270 --> 00:45:18,640
+للعشرة؟مافيش غير ملعين لو انا بدي اعمل مسار
+
+498
+00:45:18,640 --> 00:45:23,780
+بالشروط اللي حكيناها انه يبدأ ب Vertex من V وانت ب
+
+499
+00:45:23,780 --> 00:45:27,720
+Vertex من U مافيش عندي الا هذه في V و هذه في U هي
+
+500
+00:45:27,720 --> 00:45:34,920
+تورا بجد و انا اجي مسار و يحقق انه alternating من
+
+501
+00:45:34,920 --> 00:45:38,460
+ناحية ال edges واحدة في M واحدة مش في M هذه مش في
+
+502
+00:45:38,460 --> 00:45:46,530
+M هذه في M مش في M و هذا صح هي المسار هذاأقل اللي
+
+503
+00:45:46,530 --> 00:45:52,990
+أنا بديها اللي هو تلاتة تمانية تمانية أربعة أربعة
+
+504
+00:45:52,990 --> 00:45:58,950
+تسعة تسعة خمسة خمسة عشرة الان باخد هذه ال edge و
+
+505
+00:45:58,950 --> 00:46:04,410
+بقلغ هذه ال edge باخد هذه و بقلغ هذه و باخد هذه
+
+506
+00:46:04,410 --> 00:46:08,130
+تمانية
+
+507
+00:46:08,130 --> 00:46:13,670
+وأربعة بده أشيلهم تمانية أربعة بده أشيلها تسعة
+
+508
+00:46:13,670 --> 00:46:18,660
+خمسة بده أشيلهابيظلوا هدولة وبيجمعهم التلاتة هدولة
+
+509
+00:46:18,660 --> 00:46:22,740
+اتحسن ولا ماتحسنش؟ حسن بقى جاء أربع صار خمسة بعد
+
+510
+00:46:22,740 --> 00:46:27,300
+هي خلاص مافيش هذا هو ال .. فاحنا الآن عمليا ال
+
+511
+00:46:27,300 --> 00:46:31,500
+method بتعتمد على هذا الاصل بإنه انا في كل
+
+512
+00:46:31,500 --> 00:46:38,060
+iteration بابحث عن مصر يجتمل على edges المصر هذا
+
+513
+00:46:38,060 --> 00:46:43,200
+مواصفاته حكيناهاإذا ما صار هذا بيحققلي زيادة في
+
+514
+00:46:43,200 --> 00:46:48,320
+عدد ال edges اللي داخلة في ال matching فبأخده و
+
+515
+00:46:48,320 --> 00:46:52,760
+بامسح الجديد و باخد الجديد و بضلني الى ان بعد كده
+
+516
+00:46:52,760 --> 00:46:57,300
+خلاص انا بعد التلاتة الان أصلا كلهم صاروا matched
+
+517
+00:46:57,300 --> 00:47:00,480
+يعني حصلت أنا عمليا على إيش؟
+
+518
+00:47:03,600 --> 00:47:07,780
+حصلت على perfect matching او complete matching صح؟
+
+519
+00:47:07,780 --> 00:47:11,260
+ان كل هدولة mashed و كل هدولة mashed، ضال في حدا
+
+520
+00:47:11,260 --> 00:47:15,540
+هنا مش mashed لأ، فعندي هذا مع واحد مع سبعة، اتنين
+
+521
+00:47:15,540 --> 00:47:24,340
+مع ستة، ال algorithm هذه فيها تفاصيل لكيفية
+
+522
+00:47:24,340 --> 00:47:28,750
+استكشاف المسار هذاأحنا الآن حكينا و بنقدر نحل
+
+523
+00:47:28,750 --> 00:47:32,590
+المسألة هذه على الورق احنا لكن ال algorithm بدها
+
+524
+00:47:32,590 --> 00:47:38,870
+خطوات محددة لاستكشاف المسار فالتفاصيل
+
+525
+00:47:38,870 --> 00:47:43,130
+هذه موجودة في ال algorithm هذه احنا مش هنخش في
+
+526
+00:47:43,130 --> 00:47:46,650
+تفاصيلها بس على الأقل الآن لو انا اعطيتك homework
+
+527
+00:47:46,650 --> 00:47:50,870
+او المثال في الابتحان و قلتلك حليها بتقدر تحليها
+
+528
+00:47:50,870 --> 00:47:54,360
+على الورق بدون مافاحنا الأن إيش بنسوي؟ خلاص هي ده
+
+529
+00:47:54,360 --> 00:47:57,940
+نهاية ال section عشرة تلاتة مش هدخل في تفاصيل ال
+
+530
+00:47:57,940 --> 00:48:02,980
+algorithm بدنا نعمل .. بنعطيكوا homework في هذا ال
+
+531
+00:48:02,980 --> 00:48:06,020
+section بس مش داخل في الامتحان ال section نفسه مش
+
+532
+00:48:06,020 --> 00:48:09,600
+داخل في الامتحان okay بس داخل في ال homeworkAll
+
+533
+00:48:09,600 --> 00:48:15,720
+right فإحنا الآن هيك بنكون بحمد الله يعني أنجزنا
+
+534
+00:48:15,720 --> 00:48:19,980
+غالبين العظمى من اللي بدنا إياها كان المفروض نكمل
+
+535
+00:48:19,980 --> 00:48:23,720
+في chapter 11 بس الوقت مابتكفيش بس عموما هيك احنا
+
+536
+00:48:23,720 --> 00:48:28,280
+بنكون أخدنا يعني جزء كبير من ال algorithmات اللي
+
+537
+00:48:28,280 --> 00:48:33,780
+بدنا إياها وإن شاء اللهالفصل الجاي ان شاء الله
+
+538
+00:48:33,780 --> 00:48:38,520
+بيكون فيه .. بيكون فيه أدنى محاضرات تانية في مادة
+
+539
+00:48:38,520 --> 00:48:40,660
+أخرى ان شاء الله، يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5c0ca262838359dc4a44f1f9a0c0e49035dec5e5
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU.srt
@@ -0,0 +1,1334 @@
+1
+00:00:21,140 --> 00:00:23,300
+ماشي بسم الله الرحمن الرحيم الصلاة والسلام على
+
+2
+00:00:23,300 --> 00:00:25,740
+أشرف المسلمين اليوم إن شاء الله سنتقل إلى chapter
+
+3
+00:00:25,740 --> 00:00:29,640
+رقم خمسة، الذي هو يتناول فئة الخوارزميات التي
+
+4
+00:00:29,640 --> 00:00:32,760
+تسمى divide and conquer algorithms.  الـ divide
+
+5
+00:00:32,760 --> 00:00:36,140
+and conquer algorithms فيها شبه مع decrease and
+
+6
+00:00:36,140 --> 00:00:42,490
+conquer، بس من هنا يصبح واضحًا لنا أين الاختلاف. الـ
+
+7
+00:00:42,490 --> 00:00:46,750
+divide and conquer تبدأ بالأساس بأنه يتجزأ..
+
+8
+00:00:46,750 --> 00:00:50,610
+يتجزأ الـ problem إلى عدة أجزاء، الأجزاء الأولى التي
+
+9
+00:00:50,610 --> 00:00:53,990
+يُقال عنها instance، divide الـ instance of problem
+
+10
+00:00:53,990 --> 00:00:57,450
+into two or more, two or more smaller instances.
+
+11
+00:00:57,450 --> 00:01:01,410
+الأمثلة التي سنعرضها غالبيتها، أو ربما كلها،
+
+12
+00:01:01,410 --> 00:01:06,330
+ستكون two instances،  مش.. مش more. الآن solve
+
+13
+00:01:06,330 --> 00:01:13,110
+smaller instances recursively. هي صفة متلازمة
+
+14
+00:01:13,110 --> 00:01:16,130
+تقريبًا مع حكاية الـ divide and conquer، ستجد
+
+15
+00:01:16,130 --> 00:01:19,390
+الغالبية العظمى من الـ divide and conquer algorithms
+
+16
+00:01:19,390 --> 00:01:23,570
+كلها، خلينا نقول، تعمل recursively، وبعض منها ممكن
+
+17
+00:01:23,570 --> 00:01:29,790
+نعملها أيضًا iteratively. المهم، الغالبية، الصفة
+
+18
+00:01:29,790 --> 00:01:32,790
+المتلازمة أنها recursive divide and conquer
+
+19
+00:01:32,790 --> 00:01:37,140
+algorithms. Solve كل واحدة من الـ instances الـ
+
+20
+00:01:37,140 --> 00:01:41,160
+instances، يعني القسم من أقسام الـ problem، نستدعي الـ
+
+21
+00:01:41,160 --> 00:01:47,750
+algorithm نفسه على كل قسم، نعالجه. الآن في خطوة ثلاثة،
+
+22
+00:01:47,750 --> 00:01:51,030
+نأخذ الـ solution، نأخذ الـ solution الذي نتج من
+
+23
+00:01:51,030 --> 00:01:54,550
+معالجة كل واحدة من الـ instances،  خيالًا هم بس two
+
+24
+00:01:54,550 --> 00:01:57,890
+instances، نأخذ الـ solution  تبع الـ instance الأولى
+
+25
+00:01:57,890 --> 00:01:59,870
+والـ instance الثانية، أو الجزء الأول والجزء
+
+26
+00:01:59,870 --> 00:02:04,470
+الثاني، و somehow نجمع الـ two solutions  عشان
+
+27
+00:02:04,470 --> 00:02:08,410
+نُخرج الـ solution النهائي. هذا الكلام شبيه أكثر ما
+
+28
+00:02:08,410 --> 00:02:11,670
+هو شبيه في decrease and conquer، بيه لما يكون
+
+29
+00:02:11,670 --> 00:02:16,740
+decrease by factor ويكون الـ factor two،  مثل آخر مثال
+
+30
+00:02:16,740 --> 00:02:20,060
+ذكرناه في المحاضرة الماضية، كان الذي هو الـ Fake Coin
+
+31
+00:02:20,060 --> 00:02:25,100
+Problem، قلنا إن كومة القطع النقدية، نقسمها لجسمين
+
+32
+00:02:25,100 --> 00:02:31,640
+أو إلى ثلاثة أيضًا يجوز، صح؟ ب.. ماشي؟ Divide الـ
+
+33
+00:02:31,640 --> 00:02:35,900
+instance into two or more.. or smaller، قسمناهم، وعلى
+
+34
+00:02:35,900 --> 00:02:40,720
+..ال.. الآن الفرق.. الفرق ال.. الفرق الأساسي
+
+35
+00:02:40,720 --> 00:02:45,140
+بين الـ divide وبين الـ decrease، أن هناك فعلًا
+
+36
+00:02:45,140 --> 00:02:48,860
+نقوم بـ decrease، بمعنى decrease، أن الـ problem صغرت
+
+37
+00:02:48,860 --> 00:02:53,040
+يعني لما نحن قسمنا الكومة.. قسمنا الكومة إلى
+
+38
+00:02:53,040 --> 00:03:00,180
+كومتين ووزنناهم، وطلع واحد منهما أصغر من الثاني، أخف
+
+39
+00:03:00,180 --> 00:03:04,140
+من الثاني، أخذنا الأخف في هذا، وما فعلنا في الثاني؟
+
+40
+00:03:04,140 --> 00:03:07,680
+انتهينا،  لم نعد نحتاج إليه. صار
+
+41
+00:03:07,680 --> 00:03:11,840
+تركيزنا على هذا الخفيف.. الأخف، أخذنا هذا الأخف و
+
+42
+00:03:11,840 --> 00:03:17,110
+قسمناه قسمين، وشاهدنا من فيهما الأثقل، أخذنا الأثقل
+
+43
+00:03:17,110 --> 00:03:21,170
+وأهملنا تمامًا الثاني. هنا ليس هناك شيء يُدعى الإهمال، هنا
+
+44
+00:03:21,170 --> 00:03:26,150
+في الـ divide لا نهمل، هناك نقوم بـ decrease، بمعنى نقوم بـ
+
+45
+00:03:26,150 --> 00:03:30,910
+تقليص حجم الـ problem، ويصبح الـ solution محصورًا في
+
+46
+00:03:30,910 --> 00:03:36,530
+الجزء الذي قلصناه. وبعد ذلك، في الجزء الذي يليه، الجزء
+
+47
+00:03:36,530 --> 00:03:41,880
+الذي يليه، في الـ divide نحن نقسمه، لكن علينا التعامل مع
+
+48
+00:03:41,880 --> 00:03:46,740
+كل قسم،  هناك قسمناه قسمين، أخذنا واحد منهما ولم
+
+49
+00:03:46,740 --> 00:03:50,740
+نتعامل مع الثاني، صح؟ فهنا يُشبه، أنا في،
+
+50
+00:03:50,740 --> 00:03:57,140
+الـ divide، يُشبه بأنه كعكة، لا أستطيع أكلها مرة واحدة بلقمة
+
+51
+00:03:57,140 --> 00:04:03,300
+واحدة،  أقسمها وأكل كل قسم قليلًا قليلًا، إنما في
+
+52
+00:04:03,300 --> 00:04:08,470
+الـ decrease، كأنني أضغط الكعكة، ماشي، على جدر
+
+53
+00:04:08,470 --> 00:04:13,830
+لقمة لقمة، أو، ضغطة، أخذت منها الجزء الذي
+
+54
+00:04:13,830 --> 00:04:17,670
+أنا أعرف ما فيه، ما فيه الفائدة، أو الذي أنا
+
+55
+00:04:17,670 --> 00:04:20,790
+أبحث عنه. واضح الفرق بين الـ decrease والـ
+
+56
+00:04:20,790 --> 00:04:25,720
+divide. الآن نأخذ مثالًا على ما هو الـ divide، هذا الـ
+
+57
+00:04:25,720 --> 00:04:29,880
+diagram يوضح عملية الـ dividing، وبعدها، بعد
+
+58
+00:04:29,880 --> 00:04:33,820
+ذلك، بعد أن آخذ الـ solutions، لابد somehow من جمع الـ
+
+59
+00:04:33,820 --> 00:04:42,220
+two outputs في الـ final solution. الأمثلة التي سنعرضها
+
+60
+00:04:42,220 --> 00:04:44,880
+هي الاثنان، هذان، الـ merge sort والـ quick
+
+61
+00:04:44,880 --> 00:04:50,620
+sort، وبعدها، هذان section 5.1 و5.2، وبعدها حسب
+
+62
+00:04:50,620 --> 00:04:53,900
+الخطة التي معنا، سنأخذ واحد آخر إضافي، مثلًا واحد
+
+63
+00:04:53,900 --> 00:04:57,720
+آخر إضافي من هذين، لستُ قد حددتُ
+
+64
+00:04:57,720 --> 00:05:00,460
+المحاضرة القادمة، ستكون الصورة واضحة، لكن غالبًا
+
+65
+00:05:00,460 --> 00:05:09,900
+سيكون الـ matrix multiplication. Okay، الـ divide، okay.
+
+66
+00:05:09,900 --> 00:05:12,860
+هنا الـ slide هذا سأتركه، سأعود إليه ثانيةً. هذا
+
+67
+00:05:12,860 --> 00:05:17,700
+يُعطيني general recurrence الذي على أساسه نستطيع
+
+68
+00:05:17,700 --> 00:05:21,580
+تحليل الـ complexity تبع الـ divide and conquer، ببساطة
+
+69
+00:05:21,580 --> 00:05:25,700
+عامة. ننتقل إلى المثال تبع الـ merge sort في الأول، الـ
+
+70
+00:05:25,700 --> 00:05:31,160
+merge sort، مرّ عليكم أم لم يمرّ، ليس مهمًا، المهم أننا
+
+71
+00:05:31,160 --> 00:05:36,240
+سنعرض كيفية عمل الـ merge sort
+
+72
+00:05:36,240 --> 00:05:39,500
+algorithm، ونرى أين بالضبط هي divide and conquer، و
+
+73
+00:05:39,500 --> 00:05:43,680
+بعدين نشوف الـ analysis  تبعها. فهي مثال، وأنتقل إلى
+
+74
+00:05:43,680 --> 00:05:47,860
+مثال، وبعدين أعود إلى الـ steps والـ algorithm والـ
+
+75
+00:05:47,860 --> 00:05:51,420
+pseudocode. يعني سيكون لدي قرية، هذه القرية
+
+76
+00:05:51,420 --> 00:05:55,900
+تشبه القرية التي رأيناها في، أعتقد كانت هي
+
+77
+00:05:55,900 --> 00:06:01,360
+نفسه تبع الـ quick sort. المهم لدي العناصر هذولي،
+
+78
+00:06:01,360 --> 00:06:05,060
+واحد، اثنان، ثلاثة، أربعة، خمسة، ستة، سبعة، ثمانية عناصر، صح؟
+
+79
+00:06:05,060 --> 00:06:09,900
+merge، merge sort،  ستقوم بعمل divide لهذا الـ input إلى
+
+80
+00:06:09,900 --> 00:06:14,280
+two instances،  جزئين، هذا الجزء الأول الذي هو النصف
+
+81
+00:06:14,280 --> 00:06:17,000
+الأول، ثمانية، ثلاثة، اثنان، تسعة، الجزء الثاني
+
+82
+00:06:17,000 --> 00:06:22,140
+الذي هو سبعة، واحد، خمسة، أربعة، okay. الآن ستتعامل مع
+
+83
+00:06:22,140 --> 00:06:27,420
+الجزء الواحد منهما،  برضه merge sort، ستأتي إليه وتقسمه
+
+84
+00:06:27,420 --> 00:06:33,960
+قسمين، وكل قسم تتعامل معه بعمل Merge Sort. الآن إلى
+
+85
+00:06:33,960 --> 00:06:38,760
+حتى.. إلى أن ينتهي،  إلى أن لا نستطيع تقسيم ثمانية، ما
+
+86
+00:06:38,760 --> 00:06:42,480
+نقسمه؟  الثلاثة؟ هنا الآن يأتي دور عملية الـ merging،
+
+87
+00:06:42,480 --> 00:06:47,600
+الـ merging يعني أن هذين القسمين اللذين لا يمكن
+
+88
+00:06:47,600 --> 00:06:53,740
+تقسيمهما أكثر من ذلك، نجمعهما معًا، الشرط طبعًا أن جمعهما
+
+89
+00:06:53,740 --> 00:06:58,790
+مرتبين،  sorted. فَتَأتي الثلاثة قبل الثمانية. نفس
+
+90
+00:06:58,790 --> 00:07:02,050
+الأشياء على هذين، نفس الأشياء على الباقين كلهم، لأن
+
+91
+00:07:02,050 --> 00:07:07,190
+أصبحت لدينا هذه الـ segments، هذه، وأيضًا لأن
+
+92
+00:07:07,190 --> 00:07:11,330
+خلي بالك، نحن الأسهم التي تنزل هي فعلًا أسهم
+
+93
+00:07:11,330 --> 00:07:17,090
+راجعة إلى نتيجة الاستدعاءات، لأن هنا انتهى الـ merge sort،
+
+94
+00:07:17,090 --> 00:07:22,090
+يأتي في استدعاء تابع لها،  تقوم بالدمج، ثم تعود إلى
+
+95
+00:07:22,090 --> 00:07:30,560
+من اتصل بها،  إلى من اتصل بها، إلى أن نصل إلى الاستدعاء الأصلي. النقطة
+
+96
+00:07:30,560 --> 00:07:33,800
+الأساسية التي سنقف عندها هي عملية الـ Merging، كما
+
+97
+00:07:33,800 --> 00:07:40,160
+قلنا، يجب أن تُنتج array مرتبة،  فهذان اثنان، لما نجمعهما،
+
+98
+00:07:40,160 --> 00:07:42,820
+يجب أن يكونا مرتبين، ثلاثة، ثمانية، هذان اثنان، تسعة،
+
+99
+00:07:42,820 --> 00:07:46,100
+هذان واحد، بعدين سبعة، هذان أربعة، بعدين خمسة، كذلك
+
+100
+00:07:46,100 --> 00:07:49,220
+الحالة، هذين القسمين لما نجمعهما يجب أن يكونا مرتبين،
+
+101
+00:07:49,220 --> 00:07:52,060
+ليس أن ثلاثة، ثمانية في الأول، ثم تسعة،
+
+102
+00:07:52,060 --> 00:07:57,730
+بعدين، لا، ثلاثة، واثنان، من هو الأصغر، ننزله، بنزله، بأنزله،
+
+103
+00:07:57,730 --> 00:08:01,850
+نقارنه، صح؟ يعني ببساطة شديدة، تكون لدينا، خذ
+
+104
+00:08:01,850 --> 00:08:05,930
+مثلًا على هذين اللذين في الآخر، تكون لدينا two
+
+105
+00:08:05,930 --> 00:08:12,350
+pointers، pointer في الأولى وpointer في الثانية،
+
+106
+00:08:12,350 --> 00:08:15,090
+okay؟ نقارن العنصرين اللذين على الـ pointers، الواحد
+
+107
+00:08:15,090 --> 00:08:19,490
+والاثنين، الأصغر ننزله، ننزله الواحد، بعد أن ننزل
+
+108
+00:08:19,490 --> 00:08:23,450
+العنصر، نحرك الـ pointer  تبعه إلى الذي يليه، صح؟ صار
+
+109
+00:08:23,450 --> 00:08:26,130
+الآن بالضبط اثنان، لستُ قد وصلتُ إلى الاثنين،
+
+110
+00:08:26,130 --> 00:08:29,970
+مظبوط؟ اثنان مع الأربعة، من هو الأصغر؟ الاثنان؟ تنزل
+
+111
+00:08:29,970 --> 00:08:33,230
+الاثنان، ننتقل إلى الذي يليه، ثلاثة مع الأربعة،
+
+112
+00:08:33,230 --> 00:08:36,290
+تنزل الثلاثة، لستُ قد وصلتُ إلى الأربعة، صح؟
+
+113
+00:08:36,290 --> 00:08:38,870
+تنزل الثلاثة، ننتقل إلى الذي يليه، الثمانية،
+
+114
+00:08:38,870 --> 00:08:41,230
+ثمانية والأربعة، من هو الأصغر؟ الأربعة، تنزل
+
+115
+00:08:41,230 --> 00:08:44,230
+الأربعة، ننتقل إلى الذي يليه، ثمانية مع الخمسة،
+
+116
+00:08:44,230 --> 00:08:49,350
+من هو الأصغر؟ الخمسة، صح؟ تنزل الخمسة، ننتقل إلى
+
+117
+00:08:49,350 --> 00:08:54,660
+الذي يليه، السابعة، تنزل السابعة. مازال وصلتُ، انتهى
+
+118
+00:08:54,660 --> 00:08:58,060
+بعد ذلك، انتهى هذا وأنا لازلتُ واقفًا هنا وفي
+
+119
+00:08:58,060 --> 00:09:00,960
+لدينا الـ remaining elements، جميعها المتبقية هذولي،
+
+120
+00:09:00,960 --> 00:09:04,880
+ننزلها كما هي بترتيبها، هم طبعًا مرتّبين، هم في
+
+121
+00:09:04,880 --> 00:09:08,600
+ترتيبهم مرتّبين، ننزلها. لما ننتهي، يعني باختصار، لما
+
+122
+00:09:08,600 --> 00:09:12,020
+ننتهي من واحدة من الـ two sub arrays، ننزل، إذا في
+
+123
+00:09:12,020 --> 00:09:16,280
+remaining في الأخرى، ننزلها كلها على الـ.. على الـ
+
+124
+00:09:16,280 --> 00:09:21,980
+combined. Okay. فهذا الكلام معناه، يعني إذا وضحنا في
+
+125
+00:09:21,980 --> 00:09:27,200
+فكرة أو آلية عمل الـ merge sort،  صار ربما
+
+126
+00:09:27,200 --> 00:09:32,280
+واضح أيضًا أن الشغل في شقين، في عملية ما هو
+
+127
+00:09:32,280 --> 00:09:36,920
+التجزئة، أو دعني أقول، الخوارزمية العامة، وفي
+
+128
+00:09:36,920 --> 00:09:39,260
+خوارزمية صغيرة ستبدأ بعملية الـ merging
+
+129
+00:09:39,260 --> 00:09:43,890
+بعد التجزئة، okay. وهذا هو واقع الأمر، أن لدينا الـ
+
+130
+00:09:43,890 --> 00:09:51,150
+algorithm الرئيسية في الـ merge sort algorithm، وظيفتها
+
+131
+00:09:51,150 --> 00:09:59,790
+أنها تجزئ وتستدعي نفسها، تمام؟
+
+132
+00:09:59,790 --> 00:10:05,190
+الذي لدينا قرية كبيرة اسمها ماذا؟ أذهب، أقسمها إلى
+
+133
+00:10:05,190 --> 00:10:09,610
+قسمين، من عند القسم الأول من عند الصفر للنصف
+
+134
+00:10:11,180 --> 00:10:15,760
+وأنسخه في قرية جديدة اسمها B، والقسم الثاني من عند
+
+135
+00:10:15,760 --> 00:10:22,620
+النصف إلى الآخر، ناقص واحد، وأنسخه في قرية أخرى هي
+
+136
+00:10:22,620 --> 00:10:28,340
+هي الـ C. الآن أستدعي الـ merge sort نفسها على الـ B ثم
+
+137
+00:10:28,340 --> 00:10:34,380
+وعلى الـ C، okay. الآن merge sort لما تنتهي على الـ B
+
+138
+00:10:34,380 --> 00:10:40,310
+تتركها مرتبة، ولما تنتهي على الـ C تتركها مرتبة. الـ
+
+139
+00:10:40,310 --> 00:10:46,910
+B مرتبة والـ C مرتبة، أجمعهما في الـ A، في الـ A،
+
+140
+00:10:46,910 --> 00:10:51,810
+okay. الآن ما الذي ستفعله الـ merge؟ كما قلنا، تأخذ
+
+141
+00:10:51,810 --> 00:10:55,690
+فعلًا كل عنصر من هنا مع عنصر من هنا وتقارن، الذي
+
+142
+00:10:55,690 --> 00:11:03,410
+أصغر يُرحل إلى الـ A، الـ
+
+143
+00:11:03,410 --> 00:11:03,830
+merge
+
+144
+00:11:15,170 --> 00:11:19,250
+لدي الـ I والـ J هما الـ two pointers، يعني هي
+
+145
+00:11:19,250 --> 00:11:26,110
+هذه الـ B وهذه الـ C. إذا الـ B، العنصر الذي وصلتُ
+
+146
+00:11:26,110 --> 00:11:28,410
+إليه فيه أصغر من العنصر الذي وصلتُ إليه
+
+147
+00:11:28,410 --> 00:11:33,470
+في الـ C، فماذا أفعل؟ نأخذ من B، إذا الـ B هي الأصغر،
+
+148
+00:11:33,470 --> 00:11:39,510
+نأخذ منها ونضع في A، الـ
+
+149
+00:11:39,510 --> 00:11:43,930
+A، الـ pointer تبعها اسمه K، okay.
+
+150
+00:11:46,620 --> 00:11:51,380
+فننزل الأصغر، إذا العنصر الذي في B هو الأصغر،
+
+151
+00:11:51,380 --> 00:11:59,360
+ننزله، وإلا ننزل العنصر الذي في C، ننزل العنصر
+
+152
+00:11:59,360 --> 00:12:02,540
+من واحدة، ننتقل،  نقوم بعمل increment للـ pointer
+
+153
+00:12:02,540 --> 00:12:13,000
+تبعها. ولما ننزل نقَدّم الـ K. بعد أن تنتهي العملية
+
+154
+00:12:13,000 --> 00:12:17,640
+هذه، ننظر إلى الـ pointer تبع الـ I.. تبع الـ B، الذي
+
+155
+00:12:17,640 --> 00:12:23,580
+هو الـ I. إذا وصل إلى P.. P ما هي؟ P هي طول
+
+156
+00:12:23,580 --> 00:12:31,160
+الـ B، والـ C طولها هو الـ Q. إذا الـ I وصل إلى آخر الـ
+
+157
+00:12:31,160 --> 00:12:35,800
+B، نذهب، نرى ما الذي تبقى هنا في الـ C، وننزله كما
+
+158
+00:12:35,800 --> 00:12:40,840
+هو. وصل الـ I.. الـ I وصل إلى آخر الـ B، ما انتهى
+
+159
+00:12:40,840 --> 00:12:46,680
+الذي فيه شيء. إذا في ما هنا.. هنا copy هذا. إذا I
+
+160
+00:12:46,680 --> 00:12:55,160
+يساوي P، copy على الـ A من الـ C، والعكس ننسخ. إذا الـ
+
+161
+00:12:55,160 --> 00:12:56,420
+I لم ينتهِ
+
+162
+00:12:59,470 --> 00:13:02,970
+يكون الـ J هو الذي انتهى، لأن أصلاً خروجي أنا من الـ loop
+
+163
+00:13:02,970 --> 00:13:08,250
+لما يكون واحد منهما انتهى، الـ I أو الـ J، طالما
+
+164
+00:13:08,250 --> 00:13:11,250
+أن الـ I أقل من الـ P أستمر، طالما أن الـ J أقل من الـ
+
+165
+00:13:11,250 --> 00:13:15,670
+Q. واحد منهما يصل إلى نهايته، أخرج من الـ loop، لأن هذا الـ
+
+166
+00:13:15,670 --> 00:13:21,310
+End. واحد منهما يصل إلى الـ End، ونخرج. إذا ليس هو الـ I،
+
+167
+00:13:21,310 --> 00:13:27,230
+يبقى هو الـ J. إذا الـ J، نأخذ من الـ P وننسخ، الـ
+
+168
+00:13:27,230 --> 00:13:31,670
+copy هذا. يعني ليس بالضرورة أن تكون الـ copy blind copy،
+
+169
+00:13:31,670 --> 00:13:37,150
+لأن ممكن أيضًا الـ I ينتهي والـ J أيضًا
+
+223
+00:19:05,050 --> 00:19:10,930
+بقول مرة أخرى لأنه ممكن يكون عندي عدد الأجزاء أو
+
+224
+00:19:10,930 --> 00:19:18,650
+الـ instances يكون مثلاً ثلاثة أربعة لكن ليس بالضرورة
+
+225
+00:19:18,650 --> 00:19:23,530
+أعالج الثلاثة هؤلاء كلهم أو الأربعة كلهم وبالتالي
+
+226
+00:19:23,530 --> 00:19:28,290
+عدد الاستدعاءات لا يكون بالضرورة مساوياً لعدد الأجزاء في الحالة
+
+227
+00:19:28,290 --> 00:19:31,950
+العامة، هو يساوي، يعني دائماً ستجدنا نجسم على
+
+228
+00:19:31,950 --> 00:19:37,860
+اثنين، وبالتالي نضرب في اثنين، نجسم الـ problem إلى
+
+229
+00:19:37,860 --> 00:19:43,860
+أربعة أجسام، وبالتالي نضرب في أربعة استدعاءات، okay
+
+230
+00:19:43,860 --> 00:19:48,940
+والله إذا طلعوا متساويين خلاص، أيه بتساوي بيه، لكن
+
+231
+00:19:48,940 --> 00:19:54,720
+إذا في حالة خاصة كان عدد الـ instances لا يساوي عدد
+
+232
+00:19:54,720 --> 00:20:02,480
+الهدف، فهذه الـ formula، okay فهذه الصيغة العامة لـ
+
+233
+00:20:02,480 --> 00:20:07,420
+processing time لـ execution time، طيب الـ theorem
+
+234
+00:20:07,420 --> 00:20:11,560
+بتقول لي أن أنت you don't have to أنك تعمل
+
+235
+00:20:11,560 --> 00:20:16,260
+analysis، أنك تعمل analysis، mathematical analysis،
+
+236
+00:20:16,260 --> 00:20:20,400
+بما أن الصيغة العامة زي هيك فأنت بس تطلع على
+
+237
+00:20:20,400 --> 00:20:31,540
+التالي، تطلع على الـ a وعلاقتها بـ b، أصد دي، إذا الـ
+
+238
+00:20:31,540 --> 00:20:37,560
+a أقل من b، أصد دي، فالـ complexity وأنت مغمض big
+
+239
+00:20:37,560 --> 00:20:42,200
+theta of n، أصد دي، إذا
+
+240
+00:20:42,200 --> 00:20:48,280
+الـ a بيساوي b، يبقى وأنت مغمض الـ complexity هيك، إذا الـ
+
+241
+00:20:48,280 --> 00:20:52,340
+a أكبر، يبقى الـ complexity هيك، إيش الـ d الآن؟ الـ f
+
+242
+00:20:52,340 --> 00:20:57,570
+of n، هذه الـ F of N، أتذكر لما حكينا في الـ ... فضل
+
+243
+00:20:57,570 --> 00:21:05,330
+من حد ما يعني
+
+244
+00:21:05,330 --> 00:21:10,630
+نرجع ... نرجع ... نرجع على شيء اسمه؟ على وين؟ على الـ
+
+245
+00:21:10,630 --> 00:21:16,350
+... الـ ... هادي؟ هادي؟ طيب خلينا مثلاً نكمل الخط اللي
+
+246
+00:21:16,350 --> 00:21:20,270
+أنا ماشي فيه، وبعدين نرجع لها،الخط اللي أنا ماشي
+
+247
+00:21:20,270 --> 00:21:24,470
+فيه، اللي هو الـ analysis، أنه احنا متفقين على أنه الـ
+
+248
+00:21:24,470 --> 00:21:28,710
+divide and conquer، الزمن اللازم سيكون بالصيغة هذه،
+
+249
+00:21:28,710 --> 00:21:34,750
+أنه في عندي instances عددهم نضرب الزمن اللازم للـ
+
+250
+00:21:34,750 --> 00:21:37,290
+instance الواحدة في هذا العدد، وبعدين في عندي الزمن
+
+251
+00:21:37,290 --> 00:21:41,550
+اللازم للـ combining، الآن، جايين شوية لما كنا فيه،
+
+252
+00:21:41,550 --> 00:21:45,330
+نحكي في الـ merge sort، الزمن اللازم للـ combining
+
+253
+00:21:45,330 --> 00:21:53,860
+حكينا أن هو الـ F، الـ F of N، هذه in big theta of إيش؟
+
+254
+00:21:53,860 --> 00:22:03,660
+of N، صح؟ الآن الـ big theta of N هذه، تخيلي هي big
+
+255
+00:22:03,660 --> 00:22:12,300
+theta of N، أصد D، وهنا D بتساوي كم؟ واحد، يعني N
+
+256
+00:22:12,300 --> 00:22:18,990
+بتساوي N، أصد D، يعني D بتساوي واحد، صح؟ يعني D هي الـ
+
+257
+00:22:18,990 --> 00:22:25,410
+degree تبع الـ complexity تبع الـ F of N، إيش الـ
+
+258
+00:22:25,410 --> 00:22:28,550
+degree تبع الـ complexity تبع الـ F of N، الـ degree
+
+259
+00:22:28,550 --> 00:22:38,310
+order، إيش N، أصد إيش؟ أصد واحد، صح؟ لو قلنا F of N is in
+
+260
+00:22:38,310 --> 00:22:43,950
+big theta of N square، الـ D بيساوي 2، الـ D هي الـ
+
+261
+00:22:43,950 --> 00:22:48,420
+degree تبع الـ complexity تبع الـ F of N، خلاص؟ okay
+
+262
+00:22:48,420 --> 00:22:53,320
+إذا نأخذ
+
+263
+00:22:53,320 --> 00:22:59,900
+الـ merge sort، جسمنا الـ input إلى كم جسم؟ إلى
+
+264
+00:22:59,900 --> 00:23:07,340
+اثنين، صح؟ b بتساوي b،
+
+265
+00:23:07,340 --> 00:23:13,000
+بتساوي بالضبط الـ A، بيساوي إيش؟ كم مرة استدعينا الـ
+
+266
+00:23:13,000 --> 00:23:16,440
+merge sort على الاثنين هؤلاء؟  أم على واحد منهم؟ و
+
+267
+00:23:16,440 --> 00:23:21,320
+لا، على اثنين، إذا a برضه بيساوي اثنين، okay، الـ D
+
+268
+00:23:21,320 --> 00:23:30,840
+إيش بيساوي؟ واحد، okay، إذاً الآن إيش علاقة الـ A بالـ D
+
+269
+00:23:30,840 --> 00:23:36,160
+بالـ b، أصد دي، إيش علاقة الاثنين؟  مش الـ A بيساوي
+
+270
+00:23:36,160 --> 00:23:43,300
+اثنين، بالاثنين، أصد واحد، بتساويها، إذا بتساويها، يبقى
+
+271
+00:23:43,300 --> 00:23:47,840
+بناءً على الـ theorem، الـ
+
+272
+00:23:47,840 --> 00:23:55,200
+complexity تبع الـ merge sort هي in big theta of N
+
+273
+00:23:55,200 --> 00:24:04,540
+in log N، أنقص log
+
+274
+00:24:05,560 --> 00:24:13,060
+log، الـ base b للـ a، اه أنا خربطت، اللي هي هذه، صح؟ كنت
+
+275
+00:24:13,060 --> 00:24:21,240
+ماشي، صح في الأول، صح؟ big theta of N أصد d، log الـ ...
+
+276
+00:24:21,240 --> 00:24:26,760
+الـ N، الـ N، الـ d، قديش قلنا؟ واحد، يبقى big theta of ...
+
+277
+00:24:26,760 --> 00:24:29,640
+N log N، خلاص
+
+278
+00:24:35,430 --> 00:24:40,710
+okay، لو والله جينا على algorithm أخرى، وكان شيء زي
+
+279
+00:24:40,710 --> 00:24:44,650
+هيك، كان في الـ algorithm اللي بتعمل نوع من الـ
+
+280
+00:24:44,650 --> 00:24:49,050
+additions مثلاً، وعدد الـ additions الإجمالي للـ
+
+281
+00:24:49,050 --> 00:24:54,250
+problem كلها، as if كانت الـ algorithm بتجسم الإجمالي
+
+282
+00:24:54,250 --> 00:24:59,230
+الـ input إلى جسمين، وبتخش على الجسمين بتتعامل معاهم،
+
+283
+00:24:59,230 --> 00:25:02,210
+بعدين في الآخر لما تيجي بتدمج، بتعمل عملية واحدة فقط،
+
+284
+00:25:04,050 --> 00:25:08,390
+فإجمالي عدد الـ additions بيساوي عدد الـ additions لـ
+
+285
+00:25:08,390 --> 00:25:14,730
+N على 2 مضروب في 2، زائدها العملية الواحدة، لأن هنا f
+
+286
+00:25:14,730 --> 00:25:19,710
+of n، إيش هي؟ الواحد، طيب إيش الـ complexity تبع
+
+287
+00:25:19,710 --> 00:25:25,270
+الواحد؟ صح؟
+
+288
+00:25:25,270 --> 00:25:29,190
+أو لا؟ طيب إيش الـ D في هذه الحالة؟ إيش الـ degree؟
+
+289
+00:25:29,190 --> 00:25:32,290
+صفر، صح؟
+
+290
+00:25:35,340 --> 00:25:42,180
+طيب، إيش الـ A؟ إيش الـ B؟ الـ A بتساوي 2، الـ B
+
+291
+00:25:42,180 --> 00:25:46,640
+بتساوي 2، الـ D بتساوي 0، على هذا الأساس، لهذا
+
+292
+00:25:46,640 --> 00:25:51,380
+الحالة، إيش الـ complexity تبعتها؟ إيش علاقة الـ A
+
+293
+00:25:51,380 --> 00:25:56,300
+بالـ B، أُص D؟ إيش الـ B قلنا؟ 2، أُص 0، يعني 1،
+
+294
+00:26:00,380 --> 00:26:05,560
+الـ A 2، والـ B أُص 1، أكبر من، يبقى على طول وأنا مغمض
+
+295
+00:26:05,560 --> 00:26:10,640
+بروح على مين؟ اللي هي الحالة الأولى، اللي هي الثالثة،
+
+296
+00:26:10,640 --> 00:26:14,140
+وين الـ theorem؟  نرجع ثانية، الحالة الثالثة اللي هي هذه،
+
+297
+00:26:14,140 --> 00:26:23,080
+أكبر من، صح؟ اللي هي N، big theta of N، أُص log 2
+
+298
+00:26:23,080 --> 00:26:29,020
+log الـ b اللي هي الاثنين، للـ a اللي هي الاثنين،
+
+299
+00:26:29,590 --> 00:26:41,810
+طب إيش log الاثنين؟ الواحد، صح؟ الـ
+
+300
+00:26:41,810 --> 00:26:50,130
+log هذا كلها تساوي واحد، واضح؟ أعطيك مثلاً هاي برضه،
+
+301
+00:26:50,130 --> 00:26:53,730
+كمان هنا مثلاً، الثالث هذا، خلصنا من هذا، إحنا فيه
+
+302
+00:26:53,730 --> 00:26:59,780
+كمان ثلاثة، الثانيين هؤلاء، عندك هنا الـ a أربعة، والـ B
+
+303
+00:26:59,780 --> 00:27:04,200
+اثنين،
+
+304
+00:27:04,200 --> 00:27:09,660
+هي عندي حالة الـ algorithm بتجسم الـ input إلى جسمين،
+
+305
+00:27:09,660 --> 00:27:14,280
+لكن على كل جسم بتستدعي مع نفسها مرتين، أربع مرات،
+
+306
+00:27:14,280 --> 00:27:20,120
+استدعاء على جسمين، وبعدين بتاخد زمن in عشان تجمع
+
+307
+00:27:20,120 --> 00:27:24,440
+الـ sub solutions هذه، ففي هذه الحالة الـ A بيساوي
+
+308
+00:27:24,440 --> 00:27:33,790
+أربعة، الـ B بيساوي اثنين، والـ h والـ D بيساوي واحد، صح؟
+
+309
+00:27:33,790 --> 00:27:39,270
+ولا لأ؟ هذه F of N بتساوي N، والـ degree تبقى الـ N
+
+310
+00:27:39,270 --> 00:27:48,650
+واحد، خلاص، يبقى في هذه الحالة ستكون اللي هي أربعة، و
+
+311
+00:27:48,650 --> 00:27:55,290
+الـ B أصد D، اثنين، فهي أكبر من ... أيوة، فهي اللي هو
+
+312
+00:27:55,290 --> 00:27:59,940
+الثالثة، الحالة الثالثة، الـ log، خلاص واضح هيك إحنا
+
+313
+00:27:59,940 --> 00:28:05,140
+قعدنا general divide and conquer، general recurrence
+
+314
+00:28:05,140 --> 00:28:08,460
+بيقول
+
+315
+00:28:08,460 --> 00:28:13,180
+لي أنه إذا عندك الـ recurrence اللي صيرته هيك، صيرته
+
+316
+00:28:13,180 --> 00:28:21,560
+A ضرب T of N على B، زائد sum F of N، على طول الـ
+
+317
+00:28:21,560 --> 00:28:26,180
+complexity واحد من الثلاثة، okay، لأن نرجع ثانية لـ
+
+318
+00:28:26,180 --> 00:28:31,940
+الـ algorithm مرة أخرى، نوضح طريقة عملها، اللي هي الـ merge
+
+319
+00:28:31,940 --> 00:28:38,380
+sort، خطوتين
+
+320
+00:28:38,380 --> 00:28:45,900
+مباشرتين، الخطوة الأولى نأخذ الـ ... نأخذ الـ list
+
+321
+00:28:45,900 --> 00:28:51,410
+الأساسية، نجسمها إلى جسمين، هنا صدفة معنا أنه الـ
+
+322
+00:28:51,410 --> 00:28:54,950
+list هي ثمانية عناصر، فالجسمين سيكونان متساويين، ما فيه إيش
+
+323
+00:28:54,950 --> 00:28:58,570
+يبقى أنه لو كان العدد فردياً، أنه يكون مثلاً، لو كانوا
+
+324
+00:28:58,570 --> 00:29:01,710
+مثلاً خمسة عشر، يكونوا واحدة سبعة، وواحدة ثمانية، تمام؟
+
+325
+00:29:01,710 --> 00:29:05,170
+المهم هؤلاء الجسمين، بنخش عليهم برضه كمان الـ
+
+326
+00:29:05,170 --> 00:29:09,590
+algorithm ستستدعي نفسها مرة ثانية على كل جسم عشان
+
+327
+00:29:09,590 --> 00:29:16,630
+يتجسموا، و ... لحد ما يصير ما فيه مجال للتقسيم، صار
+
+328
+00:29:16,630 --> 00:29:19,270
+هنا عنصر، وهنا عنصر، إيش أجسمها؟ أنا ما أجسمش، أبدأ بالـ
+
+329
+00:29:19,270 --> 00:29:23,730
+merging، الـ merging، يعني بدي أرجع ألحمهم ثانية، بس
+
+330
+00:29:23,730 --> 00:29:30,090
+مرتبين، رتبت، لحمت، لحمت، الآن كل نصفين نلحمهم، أرجع
+
+331
+00:29:30,090 --> 00:29:35,710
+ألحمهم كمان برضه مرتبين، كيف؟ بأخذ عنصر من هنا، و
+
+332
+00:29:35,710 --> 00:29:41,990
+عنصر من هنا، بأشوف من الأصغر، فالأصغر بينزل، نزل، جاهزين، و
+
+333
+00:29:41,990 --> 00:29:45,580
+من أشعة تسعة، وهنا من أشعة ثلاثة، الثلاثة والتسعة،
+
+334
+00:29:45,580 --> 00:29:50,180
+الثلاثة هي الأصغر، بتنزل، الثلاثة، نعم، نتحرك على
+
+335
+00:29:50,180 --> 00:29:53,140
+الثمانية، نعم، لأن الثمانية والتسعة، الثمانية الأصغر
+
+336
+00:29:53,140 --> 00:29:57,660
+بتنزل، الثمانية، وبنصير على التسعة، خلصنا هنا لأن
+
+337
+00:29:57,660 --> 00:30:03,080
+سواء التسعة ولا في غيرها، كله لازم ينزل، okay، أرجع
+
+338
+00:30:03,080 --> 00:30:05,520
+على الـ pseudocode، أم ما فيه داعي أروح على الـ
+
+339
+00:30:05,520 --> 00:30:08,620
+pseudocode؟ الـ pseudocode بيقول لي أن أنت عندك الـ
+
+340
+00:30:08,620 --> 00:30:15,900
+array الكبير، كلها الـ A، تبدأ تجسمها لجسمين، من صفر لـ
+
+341
+00:30:15,900 --> 00:30:20,880
+N على اثنين، يعني النصف الأولاني، وبتخزنه هذا في B، و
+
+342
+00:30:20,880 --> 00:30:25,420
+الجسم الثاني، من N على اثنين للآخر، بتخزنه في C،
+
+343
+00:30:25,420 --> 00:30:30,060
+صحيح، عندي B و C هما النصفين، بأمسك النصف الأولاني، بأسلّمه
+
+344
+00:30:30,060 --> 00:30:35,160
+لـ merge sort نفسها هي هي عشان تعالجه، والـ C كذلك،
+
+345
+00:30:35,830 --> 00:30:42,010
+الآن، لما هذه تخلص، وتعالج الـ B، وتعالج الـ C، بتكون
+
+346
+00:30:42,010 --> 00:30:45,150
+الـ B مرتبة في حد ذاتها، والـ C مرتبة، بأخذهم، و
+
+347
+00:30:45,150 --> 00:30:48,470
+بأعمل لهم عملية الدمج باستخدام الـ merge اللي هي
+
+348
+00:30:48,470 --> 00:30:52,810
+باستخدام قليلة الـ pointers هذه، واضحة قليلة الـ
+
+349
+00:30:52,810 --> 00:30:56,150
+pointers، زي ما قلت، قليلة الـ merge، أنه في عندي زي
+
+350
+00:30:56,150 --> 00:31:01,630
+ما قلنا هنا، الـ I والـ J اللي هم المؤشرين هؤلاء،
+
+351
+00:31:01,630 --> 00:31:03,130
+واحد على الـ B، واحد على الـ C،
+
+352
+00:31:07,570 --> 00:31:10,030
+بنمشي، إذا والله اللي في الـ B ... العنصر اللي في الـ
+
+353
+00:31:10,030 --> 00:31:14,070
+B أصغر من العنصر اللي في الـ C، هو هذا اللي في الـ B
+
+354
+00:31:14,070 --> 00:31:18,910
+بينتسق على الـ A، وإلا أصغر من أو يساوي، أصغر من أو
+
+355
+00:31:18,910 --> 00:31:23,650
+يساوي، وإلا يكون الـ C هو الأصغر، فبنتجله، الإعلان،
+
+356
+00:31:23,650 --> 00:31:28,890
+لما بأجي العنصر، بحرك الـ pointer، لما بأجي العنصر،
+
+357
+00:31:28,890 --> 00:31:34,850
+بحرك الـ pointer من القريّة اللي نُقل منها، وبعدين
+
+358
+00:31:34,850 --> 00:31:38,410
+برضه بحرك الـ pointer تبع الـ array الكبيرة اللي هي
+
+359
+00:31:38,410 --> 00:31:45,970
+الـ A، ماشي، نقلنا، نقلنا، و at some point الـ pointer
+
+360
+00:31:45,970 --> 00:31:50,970
+تبع أحد الاثنين هؤلاء، الـ B أو الـ C، وصل للمنتهى، وصل
+
+361
+00:31:50,970 --> 00:31:55,280
+للآخر، okay، فلازم نطلع من الـ while، بنطلع من الـ while
+
+362
+00:31:55,280 --> 00:31:59,940
+إلى، إذا والله الـ I هو اللي وصل لنهايته، بروح بننسخ،
+
+363
+00:31:59,940 --> 00:32:04,420
+يعني الـ B كلها خلصت، بروح بننسخ، إذا في شيء في الـ C،
+
+364
+00:32:04,420 --> 00:32:10,140
+بننسخه وبننزله، وإذا مش هو بيكون الـ J هو اللي وصل
+
+365
+00:32:10,140 --> 00:32:15,420
+لنهايته، فبروح بننسخ، بيكون ربما شيء باقٍ في الـ B،
+
+366
+00:32:15,420 --> 00:32:20,640
+فبروح بننزله على الـ A، okay، تمام، هيك بيكون إحنا
+
+367
+00:32:20,640 --> 00:32:23,220
+كملنا ... خلصنا حاجة بالنسبة لـ merge sort، الـ
+
+368
+00:32:23,220 --> 00:32:29,690
+example الثاني اللي هو الـ quick sort، الـ quick sort
+
+369
+00:32:29,690 --> 00:32:33,630
+كان آخر شيء لما كنا بنحكي في الـ decrease and
+
+370
+00:32:33,630 --> 00:32:38,430
+conquer، فيه selection sort، كنا إيش بنعمل؟  بنجي على
+
+371
+00:32:38,430 --> 00:32:43,950
+الـ ... الهدف تبعنا أنه أنا بدي عنصر k بيساوي مثلاً
+
+372
+00:32:43,950 --> 00:32:48,130
+خمسة، عنصر اللي هو الـ median، أو أي ترتيب، أو أي rank
+
+373
+00:32:48,130 --> 00:32:54,770
+k بيساوي ثلاثة، يعني العنصر الثالث من التسلسل، فكان
+
+374
+00:32:54,770 --> 00:32:56,650
+بيبقى في عندي العنصر الأول اللي أنا بأخذ عليه
+
+375
+00:32:56,650 --> 00:33:02,910
+pivot، صح؟ وبجزّئ، بعمل partition للـ list كلها على
+
+376
+00:33:02,910 --> 00:33:08,130
+أساسه، الأصغر من، والأكبر من، صح؟ الـ quick sort
+
+377
+00:33:08,130 --> 00:33:13,030
+الهدف أنه يرتب الـ list، مش يبحث، يرتب، ولا يدور لي على
+
+378
+00:33:13,030 --> 00:33:17,110
+الـ median ولا غيره، يرتب، الـ quick sort ده ترتيب،
+
+379
+00:33:17,110 --> 00:33:22,970
+وبتستخدم نفس فكرة الـ pivot، أنه عشان ترتب الـ list
+
+380
+00:33:22,970 --> 00:33:30,260
+كلها، بتطلع على أول عنصر، وبتعمل partition للـ list
+
+381
+00:33:30,260 --> 00:33:35,820
+على أساسه، فبيجي ... خلينا نأخذ مثال سريعاً على طول،
+
+382
+00:33:35,820 --> 00:33:39,180
+مباشرة، هي عندي هذه العناصر، إيش الـ pivot هنا؟
+
+383
+00:33:39,180 --> 00:33:44,620
+الخمسة، على أساس الخمسة، لما تعمل partition، بيجي
+
+384
+00:33:44,620 --> 00:33:49,300
+الثلاثة، الواحد، الاثنين، ومين كمان؟ الأربعة،
+
+385
+00:33:49,300 --> 00:33:54,880
+والسبعة، لأ طبعاً، خلاص، تيجي الخمسة، بعدين مين الأكبر
+
+386
+00:33:54,880 --> 00:34:00,650
+
+445
+00:39:08,310 --> 00:39:10,110
+and conquer. يعطيكم العافية
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..802698a6fd16ecb827d0e7ee1c76fcd98774cb1c
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU_postprocess.srt
@@ -0,0 +1,1780 @@
+1
+00:00:21,140 --> 00:00:23,300
+ماشي بسم الله الرحمن الرحيم الصلاة والسلام على
+
+2
+00:00:23,300 --> 00:00:25,740
+أشرف المسلمين اليوم ان شاء الله بنتقل على chapter
+
+3
+00:00:25,740 --> 00:00:29,640
+رقم خمس اللي هو بتناول فئة ال algorithmات اللي
+
+4
+00:00:29,640 --> 00:00:32,760
+بيسميها divide and conquer algorithms ال divide
+
+5
+00:00:32,760 --> 00:00:36,140
+and conquer algorithms فيها شبه مع decrease and
+
+6
+00:00:36,140 --> 00:00:42,490
+conquer بس من هنا نبقى واضح لنا وين الاختلافالـ
+
+7
+00:00:42,490 --> 00:00:46,750
+divide and conquer بتبدأ بالأساس بإنه اتجسم ..
+
+8
+00:00:46,750 --> 00:00:50,610
+اتجزء ال problem إلى عدة أجزاء الأجزاء الأولى اللي
+
+9
+00:00:50,610 --> 00:00:53,990
+بيقول عنها instance divide ال instance of problem
+
+10
+00:00:53,990 --> 00:00:57,450
+into two or more two or more smaller instances
+
+11
+00:00:57,450 --> 00:01:01,410
+الأمثلة اللي هنطلع عليها غالبيتها أو ربما كلها
+
+12
+00:01:01,410 --> 00:01:06,330
+هيكون two instances مش .. مش moreالان solve
+
+13
+00:01:06,330 --> 00:01:13,110
+smaller instances recursively هي صفة متلازمة
+
+14
+00:01:13,110 --> 00:01:16,130
+تقريبا مع حكاية ال divide and conquer هتلاقي
+
+15
+00:01:16,130 --> 00:01:19,390
+الغالبية عظمها من ال divide and conquer algorithm
+
+16
+00:01:19,390 --> 00:01:23,570
+كلها خلينا نقول بتشغل recursively وبعض منها ممكن
+
+17
+00:01:23,570 --> 00:01:29,790
+نفسها برضه نعملها iteratively المهم الغالبية الصمة
+
+18
+00:01:29,790 --> 00:01:32,790
+المتلازمة انها recursive divide and conquer
+
+19
+00:01:32,790 --> 00:01:37,140
+algorithmSolve كل واحدة من ال instances ال
+
+20
+00:01:37,140 --> 00:01:41,160
+instances يعني القسم من أقسام ل problem بنستدعي ال
+
+21
+00:01:41,160 --> 00:01:47,750
+algorithm نفسه على كل قسم تعالجهالان في خطوة تلاتة
+
+22
+00:01:47,750 --> 00:01:51,030
+ناخد ال solution ناخد ال solution اللي نتج من
+
+23
+00:01:51,030 --> 00:01:54,550
+معالجة كل واحدة من ال instances خيالي هم بس two
+
+24
+00:01:54,550 --> 00:01:57,890
+instances ناخد ال solution تبع ال instance الأولى
+
+25
+00:01:57,890 --> 00:01:59,870
+و ال instance التانية أو الجزء الأول و الجزء
+
+26
+00:01:59,870 --> 00:02:04,470
+التاني و ي somehow ي combine ال two solutions عشان
+
+27
+00:02:04,470 --> 00:02:08,410
+نطلع ال solution النهائي هذا الكلام شبيه اكتر ما
+
+28
+00:02:08,410 --> 00:02:11,670
+هو شبيه في decrease and conquer بيه لما يكون
+
+29
+00:02:11,670 --> 00:02:16,740
+decrease by factor و يكون ال factor twoزي أخر مثال
+
+30
+00:02:16,740 --> 00:02:20,060
+حكيناه في المحاضر الماضي كان اللي هو الـ Fake Coin
+
+31
+00:02:20,060 --> 00:02:25,100
+Problem قولنا إنه كومة القطع العاملة نقسمها لجسمين
+
+32
+00:02:25,100 --> 00:02:31,640
+أو بما تلاتة برضه يجوز، صح؟ ب .. ماشي؟ Divide ال
+
+33
+00:02:31,640 --> 00:02:35,900
+instance into two more .. or smaller قسمناهم وعلى
+
+34
+00:02:35,900 --> 00:02:40,720
+.. ال .. الآن الفرق .. الفرق ال .. الفرق الأساسي
+
+35
+00:02:40,720 --> 00:02:45,140
+ما بين ال divide و ما بين ال decreaseإن هناك فعلًا
+
+36
+00:02:45,140 --> 00:02:48,860
+بنقول decrease بمعنى decrease إن ال problem صغرت
+
+37
+00:02:48,860 --> 00:02:53,040
+يعني لما احنا جسمنا الكومين .. جسمنا الكوم إلى
+
+38
+00:02:53,040 --> 00:03:00,180
+كومين و وزنناهم و طلع واحد منهم أصغر من التاني أخف
+
+39
+00:03:00,180 --> 00:03:04,140
+من التاني أخدنا الأخفي في هذا و إيش سونا في التاني
+
+40
+00:03:04,140 --> 00:03:07,680
+أعملناه خلاص انتهينا مافيش إيش نعمله عليه صار
+
+41
+00:03:07,680 --> 00:03:11,840
+تركيزنا على هذا الخفي .. الأخف أخدنا هذا الأخف و
+
+42
+00:03:11,840 --> 00:03:17,110
+جسمناه جسمينوشوفنا مين فيهم الأكاف أخدنا الأكاف
+
+43
+00:03:17,110 --> 00:03:21,170
+وأهملنا تماما التاني هنا مافيش حاجة اسمها نهمل هنا
+
+44
+00:03:21,170 --> 00:03:26,150
+في ال divide نهملش هناك بنقلص decrease بمعنى بنقلص
+
+45
+00:03:26,150 --> 00:03:30,910
+فعلا حجم ال problem وبصير ال solution محصور في
+
+46
+00:03:30,910 --> 00:03:36,530
+الجزء اللي قلصنا وبعدين في الجزء اللي بعده الجزء
+
+47
+00:03:36,530 --> 00:03:41,880
+اللي بعده ال divide احنابنجسمه لكن لازم نتعامل مع
+
+48
+00:03:41,880 --> 00:03:46,740
+كل جسم اه هناك كمين جسمناهم أخدنا واحد منهم وما
+
+49
+00:03:46,740 --> 00:03:50,740
+اتعاملاش مع التاني صح؟ فهنا بشبه انا بإيش في ال
+
+50
+00:03:50,740 --> 00:03:57,140
+divide بشبه بإنه كهكة مش هقدر أكلها مرة واحدة لجمة
+
+51
+00:03:57,140 --> 00:04:03,300
+واحدة بقى أجسمها و بأكل كل واحدة شوي شوي إنما في
+
+52
+00:04:03,300 --> 00:04:08,470
+ال decrease كإني أنا ضغط الكهكة ماشي الحالعلى جدر
+
+53
+00:04:08,470 --> 00:04:13,830
+لغمة لغمة أو مش ضغطة عملياً أخدت منها الجزء اللي
+
+54
+00:04:13,830 --> 00:04:17,670
+أنا عارف فيه اللي هو الفايدة أو اللي فيه اللي أنا
+
+55
+00:04:17,670 --> 00:04:20,790
+بدور عليه فواضح الفرق ما بين ال decrease و ال
+
+56
+00:04:20,790 --> 00:04:25,720
+divide الأن ناخد مثال على اللي هو ال divideهذا ال
+
+57
+00:04:25,720 --> 00:04:29,880
+diagram بيوضح عملية ال dividing و بعدها لازم بعد
+
+58
+00:04:29,880 --> 00:04:33,820
+ما انا ااخد ال solutions لازم somehow combine ال
+
+59
+00:04:33,820 --> 00:04:42,220
+two outputs في ال final solutionالأمثلة اللى هنطلع
+
+60
+00:04:42,220 --> 00:04:44,880
+عليهم هو الاتنين هدولة الـ merge sort و ال quick
+
+61
+00:04:44,880 --> 00:04:50,620
+sort و بعدها هدولة section 5 1 و 5 2 بعدها حسب
+
+62
+00:04:50,620 --> 00:04:53,900
+الخطة اللى معانا هناخد واحد اخر اضافي مثلا واحد
+
+63
+00:04:53,900 --> 00:04:57,720
+اخر اضافي من هدولة الباجين لسه انا ماحددتش
+
+64
+00:04:57,720 --> 00:05:00,460
+المحاضرة اللى جايه بيكون واضحة الصورة بس غالبا
+
+65
+00:05:00,460 --> 00:05:09,900
+هيكون ال matrix multiplicationOkay ال divide okay
+
+66
+00:05:09,900 --> 00:05:12,860
+هنا ال slide ده انا هفلتها هرجعلها تاني هذي
+
+67
+00:05:12,860 --> 00:05:17,700
+بتعطيني general recurrence اللي على أساسها نقدر
+
+68
+00:05:17,700 --> 00:05:21,580
+نحلل ال complexity تبع ال divide and conquer بساطة
+
+69
+00:05:21,580 --> 00:05:25,700
+عامة نروح على المثال تبع ال mare sort في الأول ال
+
+70
+00:05:25,700 --> 00:05:31,160
+mare sort ال mare sort مارا عليكم ولا مارا مش مش
+
+71
+00:05:31,160 --> 00:05:36,240
+مهم المهم ان احنابنطلع على كيف قلية الـ merge sort
+
+72
+00:05:36,240 --> 00:05:39,500
+algorithm ونشوف وين بالظبط هي divide and conquer و
+
+73
+00:05:39,500 --> 00:05:43,680
+بعدين نشوف ال analysis تبعها فهي مثال و بخش على
+
+74
+00:05:43,680 --> 00:05:47,860
+مثال و بعدين أرجع على ال steps و ال algorithm و ال
+
+75
+00:05:47,860 --> 00:05:51,420
+pseudocode يعني بيكون في عندي قرية هذه القرية
+
+76
+00:05:51,420 --> 00:05:55,900
+شبيهة بالقرية اللي شفناها في مين أعتقد كانت هي
+
+77
+00:05:55,900 --> 00:06:01,360
+نفسها تبعت ال quick sortالمهم عندى العناصر هدولة
+
+78
+00:06:01,360 --> 00:06:05,060
+واحد اتنين تلاتة اربع خمسة ستة سبعة تمان عناصر صح
+
+79
+00:06:05,060 --> 00:06:09,900
+ميرش ميرش sort بدها تعمل divide لل input هذا الى
+
+80
+00:06:09,900 --> 00:06:14,280
+two instances جزئين هاي الجزء الاولى اللى هو النص
+
+81
+00:06:14,280 --> 00:06:17,000
+الاولانى التمانية تلاتة اتنين تسعة الجزء التانى
+
+82
+00:06:17,000 --> 00:06:22,140
+اللى هو سبعة واحد خمسة اربعة okay الان هتتعامل مع
+
+83
+00:06:22,140 --> 00:06:27,420
+الجزء الواحد منهم برضه ميرش sort هتيجييله و تجسمه
+
+84
+00:06:27,420 --> 00:06:33,960
+جسمينو كل الجسم تتعامل بعمل Merge & Sort الان إلى
+
+85
+00:06:33,960 --> 00:06:38,760
+لما ت .. لحد ما خلص يصير ما بنقدر نجسم تمانية ايش
+
+86
+00:06:38,760 --> 00:06:42,480
+بنجسم؟ التلاتة؟ هنا الان بيجي دور عملية ال merging
+
+87
+00:06:42,480 --> 00:06:47,600
+ال merging يعني ان هدول الجسمين اللي لا يمكن
+
+88
+00:06:47,600 --> 00:06:53,740
+تجسيمهم اكتر من هيك بنوحدهم بس الشرط طبعا ان وحدهم
+
+89
+00:06:53,740 --> 00:06:58,790
+مرتبين صح sorted فبتيجي التلاتة جابل التمانيةنفس
+
+90
+00:06:58,790 --> 00:07:02,050
+الأشياء على هدولة نفس الأشياء على الباجين كلهم لان
+
+91
+00:07:02,050 --> 00:07:07,190
+صارت عندنا هذه ال segments هذه و برضه كمان لان
+
+92
+00:07:07,190 --> 00:07:11,330
+خلّي بالك احنا الأسهم اللي نازلة هي فعليا أسهم
+
+93
+00:07:11,330 --> 00:07:17,090
+راجعة لنتيجة الاستدعاءات لان هنا خلاص ال mare sort
+
+94
+00:07:17,090 --> 00:07:22,090
+بيجي في استدعاء تبعها بتعمل الدمج و بعدين بترد للي
+
+95
+00:07:22,090 --> 00:07:30,560
+جابلها للي جابلها لما نصل للاستدعاء الأصليالنقطة
+
+96
+00:07:30,560 --> 00:07:33,800
+المثلية التي ستوقفنا عنها هي عملية الـ Merging كما
+
+97
+00:07:33,800 --> 00:07:40,160
+قلنا لازم تنتج array sorted فهدولة تنين لما ندمجهم
+
+98
+00:07:40,160 --> 00:07:42,820
+لازم ييجوا مرتبين تلاتة تمانية هدولة تنين تسعة
+
+99
+00:07:42,820 --> 00:07:46,100
+هدولة واحد بعدين سبعة هدولة أربعة بعدين خمسة كذلك
+
+100
+00:07:46,100 --> 00:07:49,220
+الحالة هدولة الجسمين لما ندمجهم لازم ييجوا مرتبين
+
+101
+00:07:49,220 --> 00:07:52,060
+مش انه والله تلاتة تمانية في الأول بعدين تسعة
+
+102
+00:07:52,060 --> 00:07:57,730
+بعدين لأ تلاتة والاتنين مين أصغر بنزلأنصر بأنصر
+
+103
+00:07:57,730 --> 00:08:01,850
+نقاره، صح؟ يعني ببساطة شديدة، بتكون في عندي، خدي
+
+104
+00:08:01,850 --> 00:08:05,930
+مثلا على هدول اللي في الآخر، بتكون في عندي two
+
+105
+00:08:05,930 --> 00:08:12,350
+pointers، pointer في الأولى و partner في التاني،
+
+106
+00:08:12,350 --> 00:08:15,090
+okay؟ بنقار العنصرين اللي على ال pointers، الواحد
+
+107
+00:08:15,090 --> 00:08:19,490
+والاتنين، الأصغر بنزل، بنزل الواحد، بعد ما بنزل
+
+108
+00:08:19,490 --> 00:08:23,450
+العنصر، بحرك ال pointer تبعه على اللي بعده، صح؟صار
+
+109
+00:08:23,450 --> 00:08:26,130
+الأن بالدقان اتنين لسه أنا ماجي فين على الأتنين،
+
+110
+00:08:26,130 --> 00:08:29,970
+مظبوط؟ اتنين مع الأربعة، مين الأصغر الأتنين؟ بتنزل
+
+111
+00:08:29,970 --> 00:08:33,230
+الأتنين، بقشر على اللي بعدها، تلاتة مع الأربعة،
+
+112
+00:08:33,230 --> 00:08:36,290
+بتنزل التلاتة، لسه أنا ماجي فين على الأربعة، صح؟
+
+113
+00:08:36,290 --> 00:08:38,870
+بتنزل التلاتة، بحرك على اللي بعدها، التمانية،
+
+114
+00:08:38,870 --> 00:08:41,230
+تمانية و الأربعة، مين الأصغر؟ الأربعة، بتنزل
+
+115
+00:08:41,230 --> 00:08:44,230
+الأربعة، بحرك على اللي بعدها، تمانية مع الخمسة،
+
+116
+00:08:44,230 --> 00:08:49,350
+مين الأصغر؟ الخمسة، صح؟ بتنزل الخمسة، بحرك على
+
+117
+00:08:49,350 --> 00:08:54,660
+اللي بعدها، السابعة، بتنزل السابعةمازال وصلت خلاص
+
+118
+00:08:54,660 --> 00:08:58,060
+بعد هيكا مازال خلصت هذه و انا لسه واقف هنا و في
+
+119
+00:08:58,060 --> 00:09:00,960
+ضايق ال remaining elements كلهم اللي ضايقين هذوله
+
+120
+00:09:00,960 --> 00:09:04,880
+بنزلهم زي ما هم بترتيبهم هم طبعا مرتبين هم في
+
+121
+00:09:04,880 --> 00:09:08,600
+حدثاتهم مرتبين بنزله لما اخلص يعني باختصار لما
+
+122
+00:09:08,600 --> 00:09:12,020
+اخلص واحدة من ال two sub arrays بنزل اذا في
+
+123
+00:09:12,020 --> 00:09:16,280
+remaining في الأخرى بنزلهم كلهم على ال .. على ال
+
+124
+00:09:16,280 --> 00:09:21,980
+combinedOkay فهذا الكلام معناته يعني اذا وضحط في
+
+125
+00:09:21,980 --> 00:09:27,200
+فكرة او قالية العمل تبع ال marriage sort صار ربما
+
+126
+00:09:27,200 --> 00:09:32,280
+واضح ايضا ان الشغل في شقين في عملية اللي هو
+
+127
+00:09:32,280 --> 00:09:36,920
+التجزئة او خليني اقول ال algorithm العامة وفي
+
+128
+00:09:36,920 --> 00:09:39,260
+algorithm صغيرة اللي هيبدأ تعمل عملية ال damage
+
+129
+00:09:39,260 --> 00:09:43,890
+بعد التجزئة okayوهذا هو واقع الأمر ان فينا ال
+
+130
+00:09:43,890 --> 00:09:51,150
+algorithm هيتها في ال merge sort algorithm وظيفتها
+
+131
+00:09:51,150 --> 00:09:59,790
+انها تجزئ وتستدعي نفسها تمام؟
+
+132
+00:09:59,790 --> 00:10:05,190
+اللي عندي قرية كبيرة اسمها ايه؟ بروح بأجسمها إلى
+
+133
+00:10:05,190 --> 00:10:09,610
+جسمين من عند الجسم الأول من عند ال zero للنص
+
+134
+00:10:11,180 --> 00:10:15,760
+وبأنسخه في قرية جديدة اسمها B والجسم التاني من عند
+
+135
+00:10:15,760 --> 00:10:22,620
+النص للأخر لإن نقص واحد وبأنسخه في قرية أخرى اللي
+
+136
+00:10:22,620 --> 00:10:28,340
+هي ال C الآن بستدعي الميرسورت نفسها على ال B ثم
+
+137
+00:10:28,340 --> 00:10:34,380
+وعلى ال C okay الان ميرسورت لما تخلص على ال B
+
+138
+00:10:34,380 --> 00:10:40,310
+بتتركها مرتبة و لما تخلص على ال C بتتركها مرتبةالـ
+
+139
+00:10:40,310 --> 00:10:46,910
+B مرتبة والـ C مرتبة بعملهم ميرج في الـ H في الـ A
+
+140
+00:10:46,910 --> 00:10:51,810
+okay الان ايش ال ميرج هتبتسوي زي ما قولنا بتجه
+
+141
+00:10:51,810 --> 00:10:55,690
+فعلا كل عنصر من هنا مع عنصر من هنا وبتقارن اللي
+
+142
+00:10:55,690 --> 00:11:03,410
+اصغر بيترحل على ال A ال
+
+143
+00:11:03,410 --> 00:11:03,830
+ميرج
+
+144
+00:11:15,170 --> 00:11:19,250
+عندي الـ I و الـ J هما الـ two pointers يعني هي
+
+145
+00:11:19,250 --> 00:11:26,110
+هاد ال B و هاد ال C إذا ال B العنصر اللي ماجي
+
+146
+00:11:26,110 --> 00:11:28,410
+أفعله فيه بيه أصغر من العنصر اللي ماجي أفعله فيه
+
+147
+00:11:28,410 --> 00:11:33,470
+في ال C فإيش بسوي ناخد من B إذا ال B هي الأصغر
+
+148
+00:11:33,470 --> 00:11:39,510
+ناخد منها و نحط في A ال
+
+149
+00:11:39,510 --> 00:11:43,930
+A ال pointer تبعها اسمه K okay
+
+150
+00:11:46,620 --> 00:11:51,380
+فبننزل الأصغر إذا الانصار اللي في B هو الأصغر
+
+151
+00:11:51,380 --> 00:11:59,360
+بنزله وإلا بننزل الأنصار اللي في C بننزل الأنصار
+
+152
+00:11:59,360 --> 00:12:02,540
+من واحدة بنروح بال نهاشر اعمل increment لل pointer
+
+153
+00:12:02,540 --> 00:12:13,000
+تبعها ولمّا بنزل بنقدّم ال K بعد ما تخلص العملية
+
+154
+00:12:13,000 --> 00:12:17,640
+هذهبنطلع على ال pointer تبع ال I .. تبع ال B اللي
+
+155
+00:12:17,640 --> 00:12:23,580
+هو ال I إذا والله وصل ل P .. P هي إيش؟ P هي طول ال
+
+156
+00:12:23,580 --> 00:12:31,160
+B و ال C طولها اللي هو ال Q إذا ال I واصل لآخر ال
+
+157
+00:12:31,160 --> 00:12:35,800
+B بنروح بنشوف إيش اللي ضايل هنا في ال C و بننزل زي
+
+158
+00:12:35,800 --> 00:12:40,840
+ما هو واصل ال I .. ال I واصل لآخر ال B ما انت خلصت
+
+159
+00:12:40,840 --> 00:12:46,680
+اللي بيفيش شيء إذا في إيش هنا .. هنا copy هذهإذا I
+
+160
+00:12:46,680 --> 00:12:55,160
+بساوي P copy على ال A من ال C و العكس بننسخ إذا ال
+
+161
+00:12:55,160 --> 00:12:56,420
+I لسه مش مخلص
+
+162
+00:12:59,470 --> 00:13:02,970
+بكون الـ J هو اللي خلص لأن أصلا خروجي أنا من ال Y
+
+163
+00:13:02,970 --> 00:13:08,250
+Loop لما بيكون واحدة منهم خلص ال I أو ال J طالما
+
+164
+00:13:08,250 --> 00:13:11,250
+أن ال I أقل من ال P بستمر طالما أن ال J أقل من ال
+
+165
+00:13:11,250 --> 00:13:15,670
+Q واحد منهم يصل لنهايته بطلع من ال Y لأن هذا ال
+
+166
+00:13:15,670 --> 00:13:21,310
+End واحد منهم يخرق ال End و بنطلع فإذا مش هو ال I
+
+167
+00:13:21,310 --> 00:13:27,230
+يبقى هو ال J فإذا ال J بناخد من ال P و بننسخالـ
+
+168
+00:13:27,230 --> 00:13:31,670
+Copy هذه يعني مش ضرورة تبقى ال copy blind copy
+
+169
+00:13:31,670 --> 00:13:37,150
+لأنه ممكن برضه ال a يخلص و ال j برضه مخلصة يعنى ال
+
+170
+00:13:37,150 --> 00:13:40,170
+copy هيبقى ال copy على أساس أنه في عناصر بننسخها و
+
+171
+00:13:40,170 --> 00:13:45,550
+مافيش عناصر نعملش حاجة واضحة بتهيألي هيك okay الآن
+
+172
+00:13:48,460 --> 00:13:53,400
+الـ Analysis تبع الـ Merged Sort Algorithms Divide
+
+173
+00:13:53,400 --> 00:13:56,020
+and Conquer Algorithms بصفة عامة Merged Sort
+
+174
+00:13:56,020 --> 00:14:01,820
+وغيرها انه بما انه احنا في عندنا ال problem كلها
+
+175
+00:14:01,820 --> 00:14:07,420
+ال processing لعدد N من العناصر هو عبارة عن
+
+176
+00:14:07,420 --> 00:14:09,640
+processing لنص العناصر
+
+177
+00:14:19,560 --> 00:14:27,720
+مضروف في اتنين لأ لأنه انا هعمل processing للنص
+
+178
+00:14:27,720 --> 00:14:33,180
+الأول والنص التاني صح فعدد نص من العناصر مضروف في
+
+179
+00:14:33,180 --> 00:14:37,260
+اتنين زائد بعد هيك لا بديش أنساه عملية ال margin
+
+180
+00:14:37,260 --> 00:14:43,020
+هذه اللي هو ال processing اللي بدي تم على دمج ناتج
+
+181
+00:14:43,020 --> 00:14:45,860
+هذا ال processing مع ناتج هذا ال processing صح
+
+182
+00:14:45,860 --> 00:14:54,460
+خليني أسميه F of Nالـ processing اللازم لعدد N من
+
+183
+00:14:54,460 --> 00:14:59,800
+العناصر ساوي ال processing اللازم لنصهم مضروب في
+
+184
+00:14:59,800 --> 00:15:06,480
+اتنين اذا والله جسمنا تلاتة بنا نضرب باشر في تلاتة
+
+185
+00:15:06,480 --> 00:15:10,400
+جسمنا على اربع يعني جسمهم لاربع instances بنا نضرب
+
+186
+00:15:10,400 --> 00:15:17,350
+فيها اربع instances زائد الزمن اللازم لالدمج عندنا
+
+187
+00:15:17,350 --> 00:15:20,110
+هنا الزمن اللازم لدمج اللي هو الزمن اللازم ل ..
+
+188
+00:15:20,110 --> 00:15:25,330
+ايه هذه ال merge merging ففي حالة ال merge sort
+
+189
+00:15:25,330 --> 00:15:35,550
+الزمن اللازم لدمج هو N يعني بيعتمد على N يعني عدد
+
+190
+00:15:35,550 --> 00:15:39,390
+الزمن اللازم لدمج العناصر دول بعد ما اتفتت أو
+
+191
+00:15:39,390 --> 00:15:45,910
+خليني اقول من اعمق level صعودا okayهو بيعتمد على
+
+192
+00:15:45,910 --> 00:15:50,030
+عددهم ما لا عددهم التربية ولا ال log تبعهم ولا هي
+
+193
+00:15:50,030 --> 00:15:56,110
+function يعني big theta of F of N في ال merge sort
+
+194
+00:15:56,110 --> 00:16:02,130
+أنا بحكي هنا في ال merge sort ال F of N اللي هي
+
+195
+00:16:02,130 --> 00:16:08,770
+الجهد اللي لازم يتم الدمش is in big theta of N
+
+196
+00:16:11,000 --> 00:16:14,780
+بيعتمد عليهم مباشرة مش على .. لا هو constant ما
+
+197
+00:16:14,780 --> 00:16:20,500
+هواش constant ولا هو exponential ولا log جداش في
+
+198
+00:16:20,500 --> 00:16:28,700
+عندي عناصر okay هي عملية المقارنة هذه بتتم على
+
+199
+00:16:28,700 --> 00:16:32,720
+جداش في عندي عناصر إذا هنا والله فيه خمسة okay
+
+200
+00:16:32,720 --> 00:16:38,780
+هقارن هذا مع اتنين وبعدين هذا مع كمان ربما اتنين
+
+201
+00:16:38,780 --> 00:16:44,300
+هذا يعنييعني في الآخر عدد المقارنة اللي بتتم is a
+
+202
+00:16:44,300 --> 00:16:52,120
+direct function of عددهم okay الان ال general
+
+203
+00:16:52,120 --> 00:16:56,400
+theorem اللي احنا فلتناها توي بتقوللي في ال divide
+
+204
+00:16:56,400 --> 00:16:59,920
+and conquer بصفة عامة هيكون عندك ال processing
+
+205
+00:16:59,920 --> 00:17:05,930
+time T of N زي هيكأنا هنا حطيت P خصوصا لـ
+
+206
+00:17:05,930 --> 00:17:09,930
+Processing و T نفس الشيء هكون في عندك ال time
+
+207
+00:17:09,930 --> 00:17:17,930
+اللازم ل ال instance ال زمن اللازم لمعالجة ال
+
+208
+00:17:17,930 --> 00:17:23,150
+instance الواحدة اللي هي N على خلاص بدنا نحط
+
+209
+00:17:23,150 --> 00:17:31,430
+variable بي لأ ليش بي ايه ايه هنا هو عدد ال
+
+210
+00:17:31,430 --> 00:17:38,100
+instancesزائد sum function ل اللي هو فهذه ال
+
+211
+00:17:38,100 --> 00:17:44,540
+general صيفة العامة للزمن طيب إيش ال complexity في
+
+212
+00:17:44,540 --> 00:17:45,740
+هذا الحالة بتكون؟
+
+213
+00:17:49,130 --> 00:17:52,970
+واضح أن هذا الصيغة العامة ليش للزمن اللي بتاخده ال
+
+214
+00:17:52,970 --> 00:17:59,050
+divide and conquer algorithms اللي هو زمن التعامل
+
+215
+00:17:59,050 --> 00:18:01,070
+مع ال instances واحدة مضمون في عدد ال instances
+
+216
+00:18:01,070 --> 00:18:07,870
+زاد أي زمن لازم ليش لدمج ما بينهم بس في شغل صغيرة
+
+217
+00:18:07,870 --> 00:18:14,250
+أنه أحيانا بيبقى عدد الأجزاءمش كل .. مش .. لا
+
+218
+00:18:14,250 --> 00:18:17,830
+يساوي يعني .. يعني بنعمل مثلا أربع أجزاء لكن بنعمل
+
+219
+00:18:17,830 --> 00:18:22,170
+processing لتلاتة و الرابع ممكن مانعملوش معالجة أو
+
+220
+00:18:22,170 --> 00:18:27,350
+يعملوا معالجة بشكل مختلف عشان هيك ال A مش دايما
+
+221
+00:18:27,350 --> 00:18:34,330
+تبتكون يعني .. يعني ممكن تبقى معانا إشي زي هيك ال
+
+222
+00:18:34,330 --> 00:18:34,970
+B هنا
+
+223
+00:19:05,050 --> 00:19:10,930
+بقول مرة أخرى لأنه ممكن يكون عندي عدد الأجزاء أو
+
+224
+00:19:10,930 --> 00:19:18,650
+ال instances يكون مثلا تلاتة أربعة لكن مش بالضرورة
+
+225
+00:19:18,650 --> 00:19:23,530
+أعالج التلاتة هدولة كلهم أو الأربعة كلهم وبالتالي
+
+226
+00:19:23,530 --> 00:19:28,290
+عدد الاستدعاءات مايكونش بالسبب عدد الأجزاء بالحالة
+
+227
+00:19:28,290 --> 00:19:31,950
+العامة هو يساوي يعني دايما هتلاقينا بنجسم على
+
+228
+00:19:31,950 --> 00:19:37,860
+اتنينوبالتالي بنضرف في اتنين نجسم ال problem إلى
+
+229
+00:19:37,860 --> 00:19:43,860
+أربع أجسام وبالتالي بنضرف في أربع استجعاءات okay
+
+230
+00:19:43,860 --> 00:19:48,940
+والله إذا طلعوا متساويين خلاص أيه بتساوي بيه لكن
+
+231
+00:19:48,940 --> 00:19:54,720
+إذا في حالة خاصة كان عدد ال instances لا يساوي عدد
+
+232
+00:19:54,720 --> 00:20:02,480
+الهدف فهذه ال formulaOkay فهذه الصيغة العامة ل ال
+
+233
+00:20:02,480 --> 00:20:07,420
+processing time ل ال execution time طيب ال theorem
+
+234
+00:20:07,420 --> 00:20:11,560
+بتقول لي ان انت you don't have to انك تعمل
+
+235
+00:20:11,560 --> 00:20:16,260
+analysis انك تعمل analysis mathematical analysis
+
+236
+00:20:16,260 --> 00:20:20,400
+بما ان الصيغة العامة زي هيك فانت بس تطلع على
+
+237
+00:20:20,400 --> 00:20:31,540
+التالي تطلع على ال ايه و علاقتها بيهب اص دي اذا ال
+
+238
+00:20:31,540 --> 00:20:37,560
+a اقل من ب اص دي فال complexity وانت مغمض big
+
+239
+00:20:37,560 --> 00:20:42,200
+theta of n اص دي اذا
+
+240
+00:20:42,200 --> 00:20:48,280
+ال a بساوي يبقى وانت مغمض ال complexity هيك اذا ال
+
+241
+00:20:48,280 --> 00:20:52,340
+a اكبر يبقى ال complexity هيك ايش ال d الآن ال f
+
+242
+00:20:52,340 --> 00:20:57,570
+of n هذهالـ F of N اتوى لما حكينا في الاش .. فضل
+
+243
+00:20:57,570 --> 00:21:05,330
+من حد ما يعني
+
+244
+00:21:05,330 --> 00:21:10,630
+نرجع .. نرجع .. نرجع على شه اسمه؟ على وين؟ على ال
+
+245
+00:21:10,630 --> 00:21:16,350
+.. ال .. هادي؟ هادي؟ طيب خلينا مثلا نكمل الخط اللي
+
+246
+00:21:16,350 --> 00:21:20,270
+أنا ماشي فيه و بعدين نرجع لهاالخط اللي انا ماشي
+
+247
+00:21:20,270 --> 00:21:24,470
+فيه اللي هو ال analysis انه احنا متفجين على انه ال
+
+248
+00:21:24,470 --> 00:21:28,710
+divide and conquer الزمن اللازم هيكون بالصيغة هذه
+
+249
+00:21:28,710 --> 00:21:34,750
+انه في عندي instances عددهم نضرب الزمن اللازم لل
+
+250
+00:21:34,750 --> 00:21:37,290
+instance الواحدة فيها العدد و بعدين في عندي الزمن
+
+251
+00:21:37,290 --> 00:21:41,550
+اللازم لل combining الآن جابل شوية لما كنا فيه
+
+252
+00:21:41,550 --> 00:21:45,330
+نحكي في ال merge sort الزمن اللازم لل combining
+
+253
+00:21:45,330 --> 00:21:53,860
+حكينا ان هو Fالـ F of N هذه in big theta of ايش؟
+
+254
+00:21:53,860 --> 00:22:03,660
+of N صح؟ الان ال big theta of N هذه تخيلي هي big
+
+255
+00:22:03,660 --> 00:22:12,300
+theta of N اصد D وهنا D بتساوي كماشي؟ واحد يعني N
+
+256
+00:22:12,300 --> 00:22:18,990
+بتساوي N اصد D يعني D بتساوي واحد صح؟يعني D هي ال
+
+257
+00:22:18,990 --> 00:22:25,410
+degree تبع ال complexity تبع ال F of N ايش ال
+
+258
+00:22:25,410 --> 00:22:28,550
+degree تبع ال complexity تبع ال F of N ال degree
+
+259
+00:22:28,550 --> 00:22:38,310
+order ايش N اص ايش اص واحد صح لو قلنا F of N is in
+
+260
+00:22:38,310 --> 00:22:43,950
+big theta of N square ال D بيساوي 2 ال D هي ال
+
+261
+00:22:43,950 --> 00:22:48,420
+degree تبع ال complexity تبع ال F of N خلاص؟Okay
+
+262
+00:22:48,420 --> 00:22:53,320
+إذا ناخد
+
+263
+00:22:53,320 --> 00:22:59,900
+الميرسوت الميرسوت جسمنا ال input إلى كام جسم إلى
+
+264
+00:22:59,900 --> 00:23:07,340
+اتنين صح بي بتساوي بي
+
+265
+00:23:07,340 --> 00:23:13,000
+بتساوي بالظبطالـ A بيساوي ايش؟ كم مرة استدعينا ال
+
+266
+00:23:13,000 --> 00:23:16,440
+merge sort على الاتنين هدولة و لا على واحد منهم و
+
+267
+00:23:16,440 --> 00:23:21,320
+لا على اتنين اذا ايه برضه بيساوي اتنين okay ال D
+
+268
+00:23:21,320 --> 00:23:30,840
+ايش بيساوي واحد okay اذا الان ايش علاقة ال A بال D
+
+269
+00:23:30,840 --> 00:23:36,160
+بال بي اوز دي ايش علاقة ال اتنين مش ال A بيساوي
+
+270
+00:23:36,160 --> 00:23:43,300
+اتنين بالاتنين اقص واحد بتسويها اذا بتسويها يبقى
+
+271
+00:23:43,300 --> 00:23:47,840
+بناء على ال theorem ال
+
+272
+00:23:47,840 --> 00:23:55,200
+complexity تبع ال merge sort هي in big theta of H
+
+273
+00:23:55,200 --> 00:24:04,540
+in log F انقص log
+
+274
+00:24:05,560 --> 00:24:13,060
+log ال base b لل a اه انا خربطت اللي هي هذه صح كنت
+
+275
+00:24:13,060 --> 00:24:21,240
+ماشي صح في الأول صح big theta of n اصد d log الاش
+
+276
+00:24:21,240 --> 00:24:26,760
+ال n ال n ال d قديش قلنا واحد يبقى big theta of اش
+
+277
+00:24:26,760 --> 00:24:29,640
+n log n خلاص
+
+278
+00:24:35,430 --> 00:24:40,710
+Okay لو والله جينا على algorithm أخرى وكان شي زي
+
+279
+00:24:40,710 --> 00:24:44,650
+هيك كان في ال algorithm اللي بتعمل نوع من ال
+
+280
+00:24:44,650 --> 00:24:49,050
+additions مثلا وعدد ال additions الإجمالي لل
+
+281
+00:24:49,050 --> 00:24:54,250
+problem كلها as if كانت ال algorithm بتجسم الإجمال
+
+282
+00:24:54,250 --> 00:24:59,230
+ال input إلى جسمين وبتخش على الجسمين بتتعامل معاهم
+
+283
+00:24:59,230 --> 00:25:02,210
+بعدين في الآخر لما تيش بتدمج بتعمل عملية واحدة فقط
+
+284
+00:25:04,050 --> 00:25:08,390
+فإجمالي عدد ال additions بساوي عدد ال additions ل
+
+285
+00:25:08,390 --> 00:25:14,730
+n على 2 مضروف في 2 زادها العملية الواحدة لأن هنا f
+
+286
+00:25:14,730 --> 00:25:19,710
+of n إيش هي الواحد طيب إيش ال complexity تبع
+
+287
+00:25:19,710 --> 00:25:25,270
+الواحد صح
+
+288
+00:25:25,270 --> 00:25:29,190
+أو لا طيب إيش ال D في هذا الحالة إيش ال degree
+
+289
+00:25:29,190 --> 00:25:32,290
+Zero صح
+
+290
+00:25:35,340 --> 00:25:42,180
+طيب، إيش ال A؟ إيش ال B؟ ال A بتساوي 2، ال B
+
+291
+00:25:42,180 --> 00:25:46,640
+بتساوي 2، ال D بتساوي 0 على هذا الأساس، لهذا
+
+292
+00:25:46,640 --> 00:25:51,380
+الحالة، إيش ال complexity تبعتها؟ إيش علاقة ال A
+
+293
+00:25:51,380 --> 00:25:56,300
+بال B أُص D؟ إيش ال B قلنا؟ 2 أُص 0، يعني 1
+
+294
+00:26:00,380 --> 00:26:05,560
+الـ A2 والـ BUSD 1 أكبر من يبقى على طول وانا مغمط
+
+295
+00:26:05,560 --> 00:26:10,640
+بروح على مين اللي هي الحالة الأولى اللي التالتة
+
+296
+00:26:10,640 --> 00:26:14,140
+وين ال theorem رجع تاني الحالة التالتة اللي هي هذه
+
+297
+00:26:14,140 --> 00:26:23,080
+أكبر من صح اللي هي N N big theta of N أُص log 0
+
+298
+00:26:23,080 --> 00:26:29,020
+log ال B اللي هي الاتنين لمن لل A اللي هي الاتنين
+
+299
+00:26:29,590 --> 00:26:41,810
+طب ايش log الاتنين الواحد صح ال
+
+300
+00:26:41,810 --> 00:26:50,130
+log هدا كلها تساوي واحد واضح اعطيكي مثلا هاي برضه
+
+301
+00:26:50,130 --> 00:26:53,730
+كمان هنا مثلا التالت هدا خلصنا من هدا احنا فيها
+
+302
+00:26:53,730 --> 00:26:59,780
+كمان تلاتة التانين هدولة عندك هنا ال a أربعةوالـ B
+
+303
+00:26:59,780 --> 00:27:04,200
+إتنين
+
+304
+00:27:04,200 --> 00:27:09,660
+هي عندي حالة ال algorithm بتجسم ال input إلى جسمين
+
+305
+00:27:09,660 --> 00:27:14,280
+لكن على كل جسم بتستدعي مع حالها مرتين أربع مرات
+
+306
+00:27:14,280 --> 00:27:20,120
+استدعاء على جسمين و بعدين بتاخد زمن in عشان تجمع
+
+307
+00:27:20,120 --> 00:27:24,440
+ال sub solutions هذه ففي هذا الحالة ال A بيساوي
+
+308
+00:27:24,440 --> 00:27:33,790
+أربعة ال B بيساوي اتنين و ال Hو ال D بساوي واحد صح
+
+309
+00:27:33,790 --> 00:27:39,270
+ولا لأ هذي F of N بساوي N و ال degree تبقى ال N
+
+310
+00:27:39,270 --> 00:27:48,650
+واحد خلاص يبقى في هذا الحالة هتكون اللي هي أربعة و
+
+311
+00:27:48,650 --> 00:27:55,290
+ال B أصد D اتنين فهي أكبر من .. ايوة فهي اللي هو
+
+312
+00:27:55,290 --> 00:27:59,940
+التالتة الحالة التالتة ال logخلاص واضح هيك احنا
+
+313
+00:27:59,940 --> 00:28:05,140
+قعدت general divide and conquer general recurrence
+
+314
+00:28:05,140 --> 00:28:08,460
+بيقول
+
+315
+00:28:08,460 --> 00:28:13,180
+لي انه اذا عندك ال recurrence اللي صيرته هيك صيرته
+
+316
+00:28:13,180 --> 00:28:21,560
+A ضرب T of N على B زائد sum F of N على طول ال
+
+317
+00:28:21,560 --> 00:28:26,180
+complexity واحد من التلاتةOkay لان نرجع تاني ل ال
+
+318
+00:28:26,180 --> 00:28:31,940
+algorithm مرة اخرى نوضح قالية عملها اللي هي الmare
+
+319
+00:28:31,940 --> 00:28:38,380
+sort خطوتين
+
+320
+00:28:38,380 --> 00:28:45,900
+مباشرتين الخطوة الأولى ناخد ال .. ناخد ال list
+
+321
+00:28:45,900 --> 00:28:51,410
+الأساسية نجسمها إلى جسمينهنا صدفة معانا انه ال
+
+322
+00:28:51,410 --> 00:28:54,950
+list هتمن عناصر فالجثمين هتكون متساويين مافيش ايش
+
+323
+00:28:54,950 --> 00:28:58,570
+يبنع انه لو كان عدد فردي انه يكون مثلا لو كانوا
+
+324
+00:28:58,570 --> 00:29:01,710
+مثلا خمستاشر يكونوا واحدة سبعة وواحدة تمانية تمام
+
+325
+00:29:01,710 --> 00:29:05,170
+المهم هدول الجثمين بنخش عليهم برضه كمان ال
+
+326
+00:29:05,170 --> 00:29:09,590
+algorithm هتستدعي نفسها مرة تانية على كل جسم عشان
+
+327
+00:29:09,590 --> 00:29:16,630
+يتجسموا و .. لحد ديت مايصير مافيش مجال التقسيم صار
+
+328
+00:29:16,630 --> 00:29:19,270
+هنا أنصر و هنا أنصر ايش اجسمها انا ماجسمش ببدأ بال
+
+329
+00:29:19,270 --> 00:29:23,730
+merging ال merging يعني بدي ارجع ألحمهم تاني بس
+
+330
+00:29:23,730 --> 00:29:30,090
+مرتبين رتبت لحمت لحمت الان كل نصين بلحمهم برجع
+
+331
+00:29:30,090 --> 00:29:35,710
+ألحمهم كمان برضه مرتبين كيف بجف على أنصر من هنا و
+
+332
+00:29:35,710 --> 00:29:41,990
+أنصر من هنا بشوف من الصغير فالصغير بنزل نزل جنين و
+
+333
+00:29:41,990 --> 00:29:45,580
+من أشعة تسعة و هنا من أشعة تلاتةالتلاتة والتسعة
+
+334
+00:29:45,580 --> 00:29:50,180
+التلاتة هي الأصغر بتنزل التلاتة نعم تحرك على
+
+335
+00:29:50,180 --> 00:29:53,140
+التمانية نعم لإن التمانية والتسعة التمانية الأصغر
+
+336
+00:29:53,140 --> 00:29:57,660
+بتنزل التمانية وبنصير على التسعة خلصنا هنا لإن
+
+337
+00:29:57,660 --> 00:30:03,080
+سواء التسعة ولا في غيرها كله لازم ينزل okay أرجع
+
+338
+00:30:03,080 --> 00:30:05,520
+على ال pseudocode ولا مافيش داعي أروح على ال
+
+339
+00:30:05,520 --> 00:30:08,620
+pseudocode ال pseudocode بيقول لي أن أنت عندك ال
+
+340
+00:30:08,620 --> 00:30:15,900
+array الكبير كلها ال Aبداك تجسمها لجسمين من صفر ل
+
+341
+00:30:15,900 --> 00:30:20,880
+N على اتنين يعني النص الأولاني و بتخزنه هذا في B و
+
+342
+00:30:20,880 --> 00:30:25,420
+الجسم التاني من N على اتنين ل الآخر بتخزنه في C
+
+343
+00:30:25,420 --> 00:30:30,060
+صحيح عندي B و C هم النصين بمسك النص الأولاني بسلمه
+
+344
+00:30:30,060 --> 00:30:35,160
+ل merge sort نفسها هي هي عشان تعالجه و ال C كذلك
+
+345
+00:30:35,830 --> 00:30:42,010
+الان لما هذه تخلص و تعالج ال B و تعالج ال C بتكون
+
+346
+00:30:42,010 --> 00:30:45,150
+ال B مرتبة في حد ذاتها و ال C مرتبة باخدهم و
+
+347
+00:30:45,150 --> 00:30:48,470
+بعملهم عملية الدمج باستخدام ال merge اللي هي
+
+348
+00:30:48,470 --> 00:30:52,810
+باستخدام قليلة ال pointers هذه واضح قليلة ال
+
+349
+00:30:52,810 --> 00:30:56,150
+pointers زي ما قلت قليلة ال merge انه في عندي زي
+
+350
+00:30:56,150 --> 00:31:01,630
+ما قلنا هنا ال I و ال J اللي هم المؤشرين هدولة
+
+351
+00:31:01,630 --> 00:31:03,130
+واحد على ال B واحد على ال C
+
+352
+00:31:07,570 --> 00:31:10,030
+بنمشي إذا والله اللي في ال B .. العنصر اللي في ال
+
+353
+00:31:10,030 --> 00:31:14,070
+B أصغر من العنصر اللي في ال C هو هذا اللي في ال B
+
+354
+00:31:14,070 --> 00:31:18,910
+بينتسق على ال A وإلا أصغر من أو يساوي أصغر من أو
+
+355
+00:31:18,910 --> 00:31:23,650
+يساوي وإلا بكون ال C هو الأصغر فبنتجل هو الإعلان
+
+356
+00:31:23,650 --> 00:31:28,890
+لما بنجي العنصر بحرك ال pointer لما بنجي العنصر
+
+357
+00:31:28,890 --> 00:31:34,850
+بحرك ال pointer من القرية اللي نجلت منهاو بعدين
+
+358
+00:31:34,850 --> 00:31:38,410
+برضه بحرك ال pointer تبع ال array الكبيرة اللي هي
+
+359
+00:31:38,410 --> 00:31:45,970
+ال A ماشي نجلنا نجلنا و at some point ال pointer
+
+360
+00:31:45,970 --> 00:31:50,970
+تبع أحد التنتين هدول ال B أو ال C وصل لمنتهى وصل
+
+361
+00:31:50,970 --> 00:31:55,280
+للآخر okay فلازم نطلع من ال whileبنطلع من ال while
+
+362
+00:31:55,280 --> 00:31:59,940
+إلى إذا والله ال I هو اللي وصل لنهايته بروح بننسخ
+
+363
+00:31:59,940 --> 00:32:04,420
+يعني ال B كلها خلصت بروح بننسخ إذا في إشي في ال C
+
+364
+00:32:04,420 --> 00:32:10,140
+بننسخه وبننزله وإذا مش هو بيكون ال J هو اللي وصل
+
+365
+00:32:10,140 --> 00:32:15,420
+لنهايته فبروح بننسخ بيكون ربما إشي ضايل في ال B
+
+366
+00:32:15,420 --> 00:32:20,640
+فبروح بننزله على ال AOkay تمام هيك بيكون احنا
+
+367
+00:32:20,640 --> 00:32:23,220
+كملنا .. خلصنا حاجة بالنسبة ل merge sort ال
+
+368
+00:32:23,220 --> 00:32:29,690
+example التاني اللي هو ال quick sortالـ quick sort
+
+369
+00:32:29,690 --> 00:32:33,630
+كان اخر اشي لما كنا بنحكي في ال decrease and
+
+370
+00:32:33,630 --> 00:32:38,430
+conquer فيه selection sort كنا ايش بنسوي بنجي على
+
+371
+00:32:38,430 --> 00:32:43,950
+ال .. الهدف تبعنا انه انا بدي عنصر كيه بيساوي مثلا
+
+372
+00:32:43,950 --> 00:32:48,130
+خمسة عنصر اللي هو ال median او اي ترتيب او اي rank
+
+373
+00:32:48,130 --> 00:32:54,770
+كيه بيساوي تلاتة يعني عنصر التالت من التساعد فكان
+
+374
+00:32:54,770 --> 00:32:56,650
+بيبقى في عندي العنصر الأول اللي انا باخد عليه
+
+375
+00:32:56,650 --> 00:33:02,910
+pivot صح؟وبجزّق بعمل partition لل list كلها على
+
+376
+00:33:02,910 --> 00:33:08,130
+أساسه الأزرار جمل والأكبر بعد صح؟ ال quick sort
+
+377
+00:33:08,130 --> 00:33:13,030
+الهدف انه يرتب ال list مش يبحث يرتب ولا يدورلي على
+
+378
+00:33:13,030 --> 00:33:17,110
+ال median ولا غيره يرتب ال quick sort ده ترتب
+
+379
+00:33:17,110 --> 00:33:22,970
+وبتستخدم نفس فكرة ال pivot انه عشان ترتب ال list
+
+380
+00:33:22,970 --> 00:33:30,260
+كلها بتطلع على أول أنصاروبتعمل partition للليستة
+
+381
+00:33:30,260 --> 00:33:35,820
+على أساسه فبيجي .. خلينا ناخد مثال عالسريع على طول
+
+382
+00:33:35,820 --> 00:33:39,180
+مباشرة هي عندي هذه العناصر إيش ال pivot هنا؟
+
+383
+00:33:39,180 --> 00:33:44,620
+الخمسة على أساس الخمسة لما تعمل partition بيجي
+
+384
+00:33:44,620 --> 00:33:49,300
+التلاتة، الواحد، الاتنين ومين كمان؟ الاربعة
+
+385
+00:33:49,300 --> 00:33:54,880
+والسبعة لأ طبعا خلاص تيجي الخمسة بعدين مين الأكبر
+
+386
+00:33:54,880 --> 00:34:00,650
+من الخمسة؟التسعة نزلهم بنفس ترتيبهم في الاصل
+
+387
+00:34:00,650 --> 00:34:06,790
+والساق والخلاص صح هدولة الأن أصغر وهدولة ..
+
+388
+00:34:06,790 --> 00:34:14,810
+السابعة لأ السابعة لأ انا كنت .. يعني لحظة فكرت ال
+
+389
+00:34:14,810 --> 00:34:22,010
+pivot نفسه هو السابعة okay السابعة الآن ها هنا صار
+
+390
+00:34:22,010 --> 00:34:30,830
+عندي high instanceأو جزء يعني سمّيه A سمّيه B وهي
+
+391
+00:34:30,830 --> 00:34:36,350
+instance أخرى ومش نفس الطول هدولة أربع عناصر و
+
+392
+00:34:36,350 --> 00:34:40,470
+هدولة تلاتة احنا الآن عملنا partitioning فقط ولا
+
+393
+00:34:40,470 --> 00:34:44,410
+رتبنا ولا أي حاجة لو جيت انا عملت partitioning لل
+
+394
+00:34:44,410 --> 00:34:49,170
+partition هذا او لل instance هذه وبنفس الفكرة
+
+395
+00:34:49,170 --> 00:34:53,510
+هتكون التلاتة الآن هي ال pivot هيجي مين اللي قبلها
+
+396
+00:34:58,560 --> 00:35:03,780
+الان الاربعة هي الوحيدة اكبر منها ايش بالنسبالها
+
+397
+00:35:03,780 --> 00:35:07,600
+دولة؟ الخمسة بده تنزل زي ما هي و ال partition
+
+398
+00:35:07,600 --> 00:35:11,740
+الأخرى برضه بده تشتغل عليها ال pivot تبعها التسعة
+
+399
+00:35:11,740 --> 00:35:17,120
+هيجي التمانية والسبعة جابلها والتسعة وفيش شي بعدها
+
+400
+00:35:17,120 --> 00:35:24,440
+مصبوط؟ okay الان هذا ال pivot الأولانيالتلاتة صعبة
+
+401
+00:35:24,440 --> 00:35:30,300
+ال pivot دعونا نسميها P1 وهذا P2 يعني ال pivot
+
+402
+00:35:30,300 --> 00:35:39,920
+التاني وهذا ال pivot النص
+
+403
+00:35:39,920 --> 00:35:49,640
+الأولاني في ال iteration التانية I1 I2 Pivot A
+
+404
+00:35:49,640 --> 00:35:59,710
+Pivot Bمين؟ اللي هو التسعة الان هذه اللي كانت كلها
+
+405
+00:35:59,710 --> 00:36:04,690
+instance واحدة صارت two instances وهذا نفس الاشي
+
+406
+00:36:04,690 --> 00:36:09,610
+كانت instance واحدة صارت two instances اللي هنا ال
+
+407
+00:36:09,610 --> 00:36:14,210
+empty set مافيش اشي هنا صح؟ هاجي اخش على هذه و
+
+408
+00:36:14,210 --> 00:36:18,570
+اعملها برضه كمان partitioning راحظي انه في الآخر
+
+409
+00:36:18,570 --> 00:36:23,170
+ال partitioning في حد ذاته هو هيعمل ال sortيعني
+
+410
+00:36:23,170 --> 00:36:28,150
+القرية بتترتب بس بمجرد ال partitioning هنا الواحد
+
+411
+00:36:28,150 --> 00:36:31,550
+و الاتنين من ال partition من ال pivot الواحد من
+
+412
+00:36:31,550 --> 00:36:34,390
+اللي أجل منهم في الشيء أكبر منهم فبنتي ننزلوا زي
+
+413
+00:36:34,390 --> 00:36:39,170
+ما هموالتلاتة بتنزل والاربعة أصلا مافيش شي هي ال
+
+414
+00:36:39,170 --> 00:36:41,750
+pivot وهي اللي هيستوية كل إشي فبتنزل زي ما هي
+
+415
+00:36:41,750 --> 00:36:45,610
+الخامسة برضه بتنزل طبعا عادوا للآن من ال pivot
+
+416
+00:36:45,610 --> 00:36:50,430
+التمانية من الأقل منها السابعة ثم هي بتيجي وفيش
+
+417
+00:36:50,430 --> 00:36:54,670
+إشي وراها التسعة بتنزل وفيش أصلا إشي خلاص هي خلصت
+
+418
+00:36:54,670 --> 00:36:59,970
+ال sorting okay فأولا هذا divide and conquer ولا
+
+419
+00:36:59,970 --> 00:37:02,390
+لأ divide and conquer ال division حصل على أساس ال
+
+420
+00:37:02,390 --> 00:37:05,870
+pivot ال pivot هو اللي جسمالى two instances و
+
+421
+00:37:05,870 --> 00:37:09,690
+دايما two دايما two اذا pivot واحد هعمل لي two
+
+422
+00:37:09,690 --> 00:37:13,570
+partitions لو عمل .. لو ماخد two pivots او جيت انا
+
+423
+00:37:13,570 --> 00:37:17,530
+ابتكر quick sort من عندى و اقول انا بدأ اعمل two
+
+424
+00:37:17,530 --> 00:37:21,030
+pivots اخد مثلا الاول و اخد الأخير عنهم pivots
+
+425
+00:37:21,030 --> 00:37:26,890
+وبشكل او باخر اجسم ال array او كل اللي لسه الى
+
+426
+00:37:26,890 --> 00:37:34,330
+حيصير تلت اجسام صح ولا اه هييجي عندي pivotوهذا أقل
+
+427
+00:37:34,330 --> 00:37:40,150
+منه وهذا أكتر منه و ال pivot التاني
+
+428
+00:37:40,150 --> 00:37:45,390
+أكتر منه ربما احتاج الى pivot رأي اذا انا اخترت
+
+429
+00:37:45,390 --> 00:37:51,810
+ربما احتاج الى نقطة فصل ما بيننا المهم احنا هنا ال
+
+430
+00:37:51,810 --> 00:37:54,430
+quick sort تاخد pivot واحد pivot واحد يعني two
+
+431
+00:37:54,430 --> 00:37:59,750
+partitions two partitions يبقى ايش دايما ال ال P
+
+432
+00:37:59,750 --> 00:38:07,400
+قد ايشاتنين يعني بعمل divide by two صح؟ او ال A هي
+
+433
+00:38:07,400 --> 00:38:15,240
+الاتنين ال B هنا لأنها مش متساوية النص هذا لا
+
+434
+00:38:15,240 --> 00:38:21,610
+يساوي النص هذافعلى الأمم احنا جسمنا ال list إلى
+
+435
+00:38:21,610 --> 00:38:28,210
+جسمين و كل جسم علجناه و في الآخر ايش ال merge اللي
+
+436
+00:38:28,210 --> 00:38:31,730
+عملناه؟ ماعملناش merge ولا حاجة يعني f of n هنا
+
+437
+00:38:31,730 --> 00:38:38,130
+عمليا مش موجودة اما تقدر تعتبرها واحد يعني مافي
+
+438
+00:38:38,130 --> 00:38:44,410
+عملية دمج لل outputبتبع ال instance الأولى مع ال
+
+439
+00:38:44,410 --> 00:38:46,350
+output بتبع ال instance الأخرى محاضرة جايش هو لما
+
+440
+00:38:46,350 --> 00:38:52,250
+نطلع على ال analysis بس واضح أنه هي و ال .. و ال
+
+441
+00:38:52,250 --> 00:38:56,830
+quick sort .. أسف و ال merge sort فيه اللي هم ايش
+
+442
+00:38:56,830 --> 00:38:59,830
+فيه اللي هم best case و worst case و average case
+
+443
+00:38:59,830 --> 00:39:04,110
+okay خلاص يبقى ضالة هي ال slide هذه الأخيرة نمر
+
+444
+00:39:04,110 --> 00:39:08,310
+عليها و بعدين بنكمل في مثال أخر من أمثلة ال divide
+
+445
+00:39:08,310 --> 00:39:10,110
+and conquer يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..2edc97b47742205e6a50222b4e230bde9aebdd06
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/jZcYZ01THIU_raw.json
@@ -0,0 +1 @@
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"start": 582.03, "end": 609.61, "text": "وهذا هو واقع الأمر ان فينا ال algorithm هيتها في ال merge sort algorithm وظيفتها انها تجزئ وتستدعي نفسها تمام؟ اللي عندي قرية كبيرة اسمها ايه؟ بروح بأجسمها إلى جسمين من عند الجسم الأول من عند ال zero للنص", "tokens": [2407, 3224, 15730, 31439, 36764, 4587, 3615, 16247, 29973, 16472, 8978, 8315, 2423, 9284, 8032, 36081, 11296, 8978, 2423, 22183, 1333, 9284, 4032, 19913, 33911, 2655, 11296, 16472, 11296, 6055, 7435, 11622, 19986, 34683, 14851, 3215, 3615, 1829, 8717, 36178, 11296, 46811, 10943, 22807, 13672, 1829, 18871, 16254, 12174, 2288, 10632, 9122, 3555, 48923, 24525, 2304, 11296, 1975, 1829, 3224, 22807, 4724, 32887, 5016, 4724, 10721, 7435, 38251, 11296, 30731, 10874, 38251, 9957, 9154, 43242, 25724, 38251, 16247, 12610, 9154, 43242, 2423, 4018, 24976, 1863, 9381], "avg_logprob": -0.2772988649620407, "compression_ratio": 1.6782178217821782, "no_speech_prob": 0.0, "words": [{"start": 582.03, "end": 582.45, "word": "وهذا", "probability": 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"word": " ال", "probability": 0.9296875}, {"start": 649.41, "end": 649.63, "word": " ميرج", "probability": 0.7577311197916666}, {"start": 649.63, "end": 650.23, "word": " هتبتسوي", "probability": 0.740234375}, {"start": 650.23, "end": 650.45, "word": " زي", "probability": 0.876220703125}, {"start": 650.45, "end": 650.53, "word": " ما", "probability": 0.98291015625}, {"start": 650.53, "end": 650.93, "word": " قولنا", "probability": 0.7823893229166666}, {"start": 650.93, "end": 651.81, "word": " بتجه", "probability": 0.7337239583333334}, {"start": 651.81, "end": 652.27, "word": " فعلا", "probability": 0.59716796875}, {"start": 652.27, "end": 652.63, "word": " كل", "probability": 0.93798828125}, {"start": 652.63, "end": 652.95, "word": " عنصر", "probability": 0.9892578125}, {"start": 652.95, "end": 653.09, "word": " من", "probability": 0.974609375}, {"start": 653.09, "end": 653.27, "word": " هنا", "probability": 0.99560546875}, {"start": 653.27, "end": 653.57, "word": " مع", 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"temperature": 1.0}, {"id": 26, "seek": 70393, "start": 675.17, "end": 703.93, "text": "عندي الـ I و الـ J هما الـ two pointers يعني هي هاد ال B و هاد ال C إذا ال B العنصر اللي ماجي أفعله فيه بيه أصغر من العنصر اللي ماجي أفعله فيه في ال C فإيش بسوي ناخد من B إذا ال B هي الأصغر ناخد منها و نحط في A ال A ال pointer تبعها اسمه K okay", "tokens": [3615, 1863, 16254, 2423, 39184, 286, 4032, 2423, 39184, 508, 8032, 15042, 2423, 39184, 732, 44548, 37495, 22653, 39896, 8032, 18513, 2423, 363, 4032, 8032, 18513, 2423, 383, 11933, 15730, 2423, 363, 18863, 1863, 9381, 2288, 13672, 1829, 3714, 26108, 1829, 5551, 5172, 30241, 3224, 8978, 3224, 4724, 1829, 3224, 5551, 9381, 17082, 2288, 9154, 18863, 1863, 9381, 2288, 13672, 1829, 3714, 26108, 1829, 5551, 5172, 30241, 3224, 8978, 3224, 8978, 2423, 383, 6156, 28814, 1829, 8592, 4724, 3794, 45865, 8717, 47283, 3215, 9154, 363, 11933, 15730, 2423, 363, 39896, 16247, 9381, 17082, 2288, 8717, 47283, 3215, 9154, 11296, 4032, 8717, 5016, 9566, 8978, 316, 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{"start": 677.29, "end": 679.05, "word": " يعني", "probability": 0.48468017578125}, {"start": 679.05, "end": 679.25, "word": " هي", "probability": 0.209228515625}, {"start": 679.25, "end": 679.51, "word": " هاد", "probability": 0.3140869140625}, {"start": 679.51, "end": 679.65, "word": " ال", "probability": 0.96240234375}, {"start": 679.65, "end": 679.89, "word": " B", "probability": 0.4912109375}, {"start": 679.89, "end": 680.09, "word": " و", "probability": 0.85205078125}, {"start": 680.09, "end": 680.27, "word": " هاد", "probability": 0.943603515625}, {"start": 680.27, "end": 680.41, "word": " ال", "probability": 0.98046875}, {"start": 680.41, "end": 680.77, "word": " C", "probability": 0.94775390625}, {"start": 680.77, "end": 683.27, "word": " إذا", "probability": 0.793212890625}, {"start": 683.27, "end": 683.47, "word": " ال", "probability": 0.9619140625}, {"start": 683.47, "end": 683.71, "word": " B", "probability": 0.748046875}, {"start": 683.71, "end": 685.83, "word": " العنصر", "probability": 0.846923828125}, {"start": 685.83, "end": 685.91, "word": " اللي", "probability": 0.96484375}, {"start": 685.91, "end": 686.11, "word": " ماجي", "probability": 0.4493001302083333}, {"start": 686.11, "end": 686.35, "word": " أفعله", "probability": 0.836669921875}, {"start": 686.35, "end": 686.59, "word": " فيه", "probability": 0.71923828125}, {"start": 686.59, "end": 686.87, "word": " بيه", "probability": 0.7854817708333334}, {"start": 686.87, "end": 687.37, "word": " أصغر", "probability": 0.934814453125}, {"start": 687.37, "end": 687.53, "word": " من", "probability": 0.97900390625}, {"start": 687.53, "end": 687.85, "word": " العنصر", "probability": 0.990966796875}, {"start": 687.85, "end": 687.95, "word": " اللي", "probability": 0.9951171875}, {"start": 687.95, "end": 688.07, "word": " ماجي", "probability": 0.9658203125}, {"start": 688.07, "end": 688.25, "word": " أفعله", "probability": 0.96484375}, {"start": 688.25, "end": 688.41, "word": " فيه", "probability": 0.95654296875}, {"start": 688.41, "end": 688.53, "word": " في", "probability": 0.615234375}, {"start": 688.53, "end": 688.53, "word": " ال", "probability": 0.515625}, {"start": 688.53, "end": 688.73, "word": " C", "probability": 0.84423828125}, {"start": 688.73, "end": 689.75, "word": " فإيش", "probability": 0.72137451171875}, {"start": 689.75, "end": 690.23, "word": " بسوي", "probability": 0.7019856770833334}, {"start": 690.23, "end": 691.51, "word": " ناخد", "probability": 0.8362630208333334}, {"start": 691.51, "end": 691.67, "word": " من", "probability": 0.99462890625}, {"start": 691.67, "end": 692.07, "word": " B", "probability": 0.52294921875}, {"start": 692.07, "end": 692.65, "word": " إذا", "probability": 0.941162109375}, {"start": 692.65, "end": 692.81, "word": " ال", "probability": 0.9716796875}, {"start": 692.81, "end": 692.95, "word": " B", "probability": 0.921875}, {"start": 692.95, "end": 693.15, "word": " هي", "probability": 0.865234375}, {"start": 693.15, "end": 693.47, "word": " الأصغر", "probability": 0.9752197265625}, {"start": 693.47, "end": 693.77, "word": " ناخد", "probability": 0.8274739583333334}, {"start": 693.77, "end": 693.95, "word": " منها", "probability": 0.996337890625}, {"start": 693.95, "end": 694.03, "word": " و", "probability": 0.95556640625}, {"start": 694.03, "end": 694.25, "word": " نحط", "probability": 0.9365234375}, {"start": 694.25, "end": 694.39, "word": " في", "probability": 0.9736328125}, {"start": 694.39, "end": 694.63, "word": " A", "probability": 0.87548828125}, {"start": 694.63, "end": 699.51, "word": " ال", "probability": 0.95947265625}, {"start": 699.51, "end": 699.73, "word": " A", "probability": 0.88525390625}, {"start": 699.73, "end": 699.87, "word": " ال", "probability": 0.87548828125}, {"start": 699.87, "end": 700.09, "word": " pointer", "probability": 0.86669921875}, {"start": 700.09, "end": 700.47, "word": " تبعها", "probability": 0.929443359375}, {"start": 700.47, "end": 700.79, "word": " اسمه", "probability": 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"probability": 0.7684733072916666}, {"start": 712.58, "end": 714.16, "word": " وإلا", "probability": 0.8509114583333334}, {"start": 714.16, "end": 715.26, "word": " بننزل", "probability": 0.9091796875}, {"start": 715.26, "end": 716.02, "word": " الأنصار", "probability": 0.8397216796875}, {"start": 716.02, "end": 716.16, "word": " اللي", "probability": 0.97900390625}, {"start": 716.16, "end": 716.28, "word": " في", "probability": 0.97802734375}, {"start": 716.28, "end": 716.56, "word": " C", "probability": 0.76611328125}, {"start": 716.56, "end": 718.94, "word": " بننزل", "probability": 0.925048828125}, {"start": 718.94, "end": 719.36, "word": " الأنصار", "probability": 0.81488037109375}, {"start": 719.36, "end": 719.54, "word": " من", "probability": 0.96826171875}, {"start": 719.54, "end": 720.04, "word": " واحدة", "probability": 0.9479166666666666}, {"start": 720.04, "end": 720.4, "word": " بنروح", "probability": 0.5821940104166666}, {"start": 720.4, "end": 720.58, "word": " بال", 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"text": "اتنين اقص واحد بتسويها اذا بتسويها يبقى بناء على ال theorem ال complexity تبع ال merge sort هي in big theta of H in log F انقص log", "tokens": [9307, 1863, 9957, 1975, 4587, 9381, 36764, 24401, 39894, 3794, 45865, 11296, 1975, 15730, 39894, 3794, 45865, 11296, 7251, 3555, 4587, 7578, 44945, 16606, 15844, 2423, 20904, 2423, 14024, 6055, 3555, 3615, 2423, 22183, 1333, 39896, 294, 955, 9725, 295, 389, 294, 3565, 479, 16472, 4587, 9381, 3565], "avg_logprob": -0.39668366373801717, "compression_ratio": 1.2847222222222223, "no_speech_prob": 0.0, "words": [{"start": 1418.26, "end": 1418.74, "word": "اتنين", "probability": 0.662628173828125}, {"start": 1418.74, "end": 1418.96, "word": " اقص", "probability": 0.6940104166666666}, {"start": 1418.96, "end": 1419.44, "word": " واحد", "probability": 0.88525390625}, {"start": 1419.44, "end": 1420.32, "word": " بتسويها", "probability": 0.8466796875}, {"start": 1420.32, "end": 1421.3, "word": " اذا", "probability": 0.67041015625}, {"start": 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اللي هو ال quick sort", "tokens": [8297, 46811, 10943, 39896, 4117, 4724, 1829, 30544, 1975, 5016, 8315, 9122, 42213, 8315, 4386, 16490, 1211, 9381, 8315, 11331, 26108, 3660, 20666, 1863, 35457, 3660, 5296, 22183, 1333, 2423, 1365, 16712, 7649, 1829, 13672, 1829, 31439, 2423, 1702, 1333], "avg_logprob": -0.2999237688576303, "compression_ratio": 1.2421875, "no_speech_prob": 0.0, "words": [{"start": 1937.62, "end": 1938.0, "word": "Okay", "probability": 0.346923828125}, {"start": 1938.0, "end": 1939.3, "word": " تمام", "probability": 0.865234375}, {"start": 1939.3, "end": 1939.9, "word": " هيك", "probability": 0.59375}, {"start": 1939.9, "end": 1940.34, "word": " بيكون", "probability": 0.75048828125}, {"start": 1940.34, "end": 1940.64, "word": " احنا", "probability": 0.8997395833333334}, {"start": 1940.64, "end": 1941.14, "word": " كملنا", "probability": 0.8955078125}, {"start": 1941.14, "end": 1941.32, "word": " ..", "probability": 0.3740234375}, {"start": 1941.32, "end": 1941.78, 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وهدولة .. السابعة لأ السابعة لأ انا كنت .. يعني لحظة فكرت ال pivot نفسه هو السابعة okay السابعة الآن ها هنا صار عندي high instance", "tokens": [6027, 2655, 3794, 27884, 8717, 11622, 1211, 16095, 44945, 36178, 6055, 2288, 31371, 3555, 16095, 8978, 2423, 33546, 1211, 16070, 3794, 995, 4587, 16070, 9778, 1211, 33546, 20328, 5016, 8032, 3215, 12610, 3660, 16247, 1863, 5551, 9381, 17082, 2288, 37037, 3215, 12610, 3660, 4386, 21136, 16758, 27884, 5296, 10721, 21136, 16758, 27884, 5296, 10721, 1975, 8315, 9122, 29399, 4386, 37495, 22653, 5296, 5016, 19913, 3660, 6156, 37983, 2655, 2423, 14538, 8717, 36178, 3224, 31439, 21136, 16758, 27884, 1392, 21136, 16758, 27884, 6024, 48506, 8032, 995, 34105, 20328, 9640, 18871, 16254, 1090, 5197], "avg_logprob": -0.2577285087236794, "compression_ratio": 1.731958762886598, "no_speech_prob": 0.0, "words": [{"start": 2036.83, "end": 2037.59, "word": "التسعة", "probability": 0.8262939453125}, {"start": 2037.59, "end": 2038.35, "word": " نزلهم", 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"word": " ..", "probability": 0.28173828125}, {"start": 2046.79, "end": 2047.07, "word": " السابعة", "probability": 0.7002766927083334}, {"start": 2047.07, "end": 2047.55, "word": " لأ", "probability": 0.861083984375}, {"start": 2047.55, "end": 2048.01, "word": " السابعة", "probability": 0.73388671875}, {"start": 2048.01, "end": 2048.33, "word": " لأ", "probability": 0.98681640625}, {"start": 2048.33, "end": 2050.69, "word": " انا", "probability": 0.39453125}, {"start": 2050.69, "end": 2051.21, "word": " كنت", "probability": 0.8935546875}, {"start": 2051.21, "end": 2051.49, "word": " ..", "probability": 0.391357421875}, {"start": 2051.49, "end": 2053.89, "word": " يعني", "probability": 0.89208984375}, {"start": 2053.89, "end": 2054.25, "word": " لحظة", "probability": 0.983642578125}, {"start": 2054.25, "end": 2054.63, "word": " فكرت", "probability": 0.9568684895833334}, {"start": 2054.63, "end": 2054.81, "word": " ال", "probability": 0.869140625}, {"start": 2054.81, "end": 2055.09, "word": " pivot", "probability": 0.97802734375}, {"start": 2055.09, "end": 2055.51, "word": " نفسه", "probability": 0.9607747395833334}, {"start": 2055.51, "end": 2055.67, "word": " هو", "probability": 0.876953125}, {"start": 2055.67, "end": 2056.07, "word": " السابعة", "probability": 0.9248046875}, {"start": 2056.07, "end": 2057.99, "word": " okay", "probability": 0.61279296875}, {"start": 2057.99, "end": 2058.91, "word": " السابعة", "probability": 0.9296875}, {"start": 2058.91, "end": 2060.29, "word": " الآن", "probability": 0.68701171875}, {"start": 2060.29, "end": 2061.07, "word": " ها", "probability": 0.70361328125}, {"start": 2061.07, "end": 2061.57, "word": " هنا", "probability": 0.4736328125}, {"start": 2061.57, "end": 2062.01, "word": " صار", "probability": 0.98486328125}, {"start": 2062.01, "end": 2062.55, "word": " عندي", "probability": 0.799072265625}, {"start": 2062.55, "end": 2063.63, "word": " high", "probability": 0.8076171875}, {"start": 2063.63, "end": 2064.33, "word": " instance", "probability": 0.96875}], "temperature": 1.0}, {"id": 77, "seek": 209351, "start": 2066.11, "end": 2093.51, "text": "أو جزء يعني سمّيه A سمّيه B وهي instance أخرى ومش نفس الطول هدولة أربع عناصر و هدولة تلاتة احنا الآن عملنا partitioning فقط ولا رتبنا ولا أي حاجة لو جيت انا عملت partitioning لل partition هذا او لل instance هذه وبنفس الفكرة هتكون التلاتة الآن هي ال pivot هيجي مين اللي قبلها", "tokens": [10721, 2407, 10874, 11622, 38207, 37495, 22653, 8608, 2304, 11703, 1829, 3224, 316, 8608, 2304, 11703, 1829, 3224, 363, 37037, 1829, 5197, 5551, 34740, 7578, 4032, 2304, 8592, 8717, 36178, 41950, 12610, 8032, 3215, 12610, 3660, 5551, 25513, 3615, 18871, 33546, 2288, 4032, 8032, 3215, 12610, 3660, 6055, 1211, 9307, 3660, 1975, 5016, 8315, 6024, 48506, 6225, 42213, 8315, 24808, 278, 6156, 47432, 49429, 12602, 2655, 3555, 8315, 49429, 36632, 11331, 26108, 3660, 45164, 10874, 36081, 1975, 8315, 6225, 42213, 2655, 24808, 278, 24976, 24808, 23758, 1975, 2407, 24976, 5197, 29538, 46599, 1863, 36178, 27188, 4117, 25720, 8032, 2655, 30544, 16712, 1211, 9307, 3660, 6024, 48506, 39896, 2423, 14538, 39896, 7435, 1829, 3714, 9957, 13672, 1829, 12174, 36150, 11296], "avg_logprob": -0.19648438083628814, "compression_ratio": 1.7741935483870968, "no_speech_prob": 0.0, "words": [{"start": 2066.11, "end": 2066.35, "word": "أو", "probability": 0.8662109375}, {"start": 2066.35, "end": 2066.63, "word": " جزء", "probability": 0.9666341145833334}, {"start": 2066.63, "end": 2067.01, "word": " يعني", "probability": 0.920654296875}, {"start": 2067.01, "end": 2068.53, "word": " سمّيه", "probability": 0.623193359375}, {"start": 2068.53, "end": 2068.69, "word": " A", "probability": 0.419677734375}, {"start": 2068.69, "end": 2069.33, "word": " سمّيه", "probability": 0.8178955078125}, {"start": 2069.33, "end": 2069.73, "word": " B", "probability": 0.86083984375}, {"start": 2069.73, "end": 2070.83, "word": " وهي", "probability": 0.5577392578125}, {"start": 2070.83, "end": 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{"start": 2078.55, "end": 2078.73, "word": " الآن", "probability": 0.6676025390625}, {"start": 2078.73, "end": 2079.07, "word": " عملنا", "probability": 0.9933268229166666}, {"start": 2079.07, "end": 2079.73, "word": " partitioning", "probability": 0.820556640625}, {"start": 2079.73, "end": 2080.13, "word": " فقط", "probability": 0.994384765625}, {"start": 2080.13, "end": 2080.47, "word": " ولا", "probability": 0.7646484375}, {"start": 2080.47, "end": 2081.03, "word": " رتبنا", "probability": 0.9349365234375}, {"start": 2081.03, "end": 2081.19, "word": " ولا", "probability": 0.8828125}, {"start": 2081.19, "end": 2081.35, "word": " أي", "probability": 0.64404296875}, {"start": 2081.35, "end": 2081.87, "word": " حاجة", "probability": 0.9970703125}, {"start": 2081.87, "end": 2082.83, "word": " لو", "probability": 0.888671875}, {"start": 2082.83, "end": 2083.05, "word": " جيت", "probability": 0.978515625}, {"start": 2083.05, "end": 2083.19, "word": " انا", "probability": 0.7236328125}, {"start": 2083.19, "end": 2083.51, "word": " عملت", "probability": 0.962890625}, {"start": 2083.51, "end": 2084.29, "word": " partitioning", "probability": 0.9404296875}, {"start": 2084.29, "end": 2084.41, "word": " لل", "probability": 0.70166015625}, {"start": 2084.41, "end": 2084.87, "word": " partition", "probability": 0.90087890625}, {"start": 2084.87, "end": 2085.29, "word": " هذا", "probability": 0.7021484375}, {"start": 2085.29, "end": 2085.43, "word": " او", "probability": 0.838134765625}, {"start": 2085.43, "end": 2085.59, "word": " لل", "probability": 0.91748046875}, {"start": 2085.59, "end": 2085.95, "word": " instance", "probability": 0.92919921875}, {"start": 2085.95, "end": 2086.35, "word": " هذه", "probability": 0.80322265625}, {"start": 2086.35, "end": 2088.63, "word": " وبنفس", "probability": 0.8133951822916666}, {"start": 2088.63, "end": 2089.17, "word": " الفكرة", "probability": 0.9921875}, {"start": 2089.17, "end": 2090.65, "word": " هتكون", "probability": 0.8234049479166666}, {"start": 2090.65, "end": 2091.09, "word": " التلاتة", "probability": 0.9227294921875}, {"start": 2091.09, "end": 2091.27, "word": " الآن", "probability": 0.663330078125}, {"start": 2091.27, "end": 2091.43, "word": " هي", "probability": 0.87255859375}, {"start": 2091.43, "end": 2091.53, "word": " ال", "probability": 0.958984375}, {"start": 2091.53, "end": 2091.81, "word": " pivot", "probability": 0.958984375}, {"start": 2091.81, "end": 2092.73, "word": " هيجي", "probability": 0.7744140625}, {"start": 2092.73, "end": 2092.89, "word": " مين", "probability": 0.680419921875}, {"start": 2092.89, "end": 2093.03, "word": " اللي", "probability": 0.89990234375}, {"start": 2093.03, "end": 2093.51, "word": " قبلها", "probability": 0.8151041666666666}], "temperature": 1.0}, {"id": 78, "seek": 212278, "start": 2098.56, "end": 2122.78, "text": "الان الاربعة هي الوحيدة اكبر منها ايش بالنسبالها دولة؟ الخمسة بده تنزل زي ما هي و ال partition الأخرى برضه بده تشتغل عليها ال pivot تبعها التسعة هيجي التمانية والسبعة جابلها والتسعة وفيش شي بعدها مصبوط؟ okay الان هذا ال pivot الأولاني", "tokens": [6027, 7649, 2423, 9640, 3555, 27884, 39896, 2423, 2407, 5016, 25708, 3660, 1975, 4117, 26890, 9154, 11296, 1975, 1829, 8592, 20666, 1863, 35457, 6027, 11296, 11778, 12610, 3660, 22807, 33962, 2304, 3794, 3660, 47525, 3224, 6055, 1863, 11622, 1211, 30767, 1829, 19446, 39896, 4032, 2423, 24808, 16247, 34740, 7578, 4724, 43042, 3224, 47525, 3224, 6055, 8592, 2655, 17082, 1211, 25894, 11296, 2423, 14538, 6055, 3555, 3615, 11296, 16712, 3794, 27884, 39896, 7435, 1829, 16712, 2304, 7649, 10632, 16070, 35457, 27884, 10874, 16758, 1211, 11296, 16070, 2655, 3794, 27884, 4032, 41185, 8592, 44049, 39182, 11296, 3714, 9381, 3555, 2407, 9566, 22807, 1392, 2423, 7649, 23758, 2423, 14538, 16247, 12610, 7649, 1829], "avg_logprob": -0.21171171654452076, "compression_ratio": 1.8198198198198199, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2098.56, "end": 2098.94, "word": 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2105.46, "end": 2105.68, "word": " زي", "probability": 0.914794921875}, {"start": 2105.68, "end": 2105.74, "word": " ما", "probability": 0.935546875}, {"start": 2105.74, "end": 2105.94, "word": " هي", "probability": 0.85400390625}, {"start": 2105.94, "end": 2107.08, "word": " و", "probability": 0.497802734375}, {"start": 2107.08, "end": 2107.24, "word": " ال", "probability": 0.880859375}, {"start": 2107.24, "end": 2107.6, "word": " partition", "probability": 0.6650390625}, {"start": 2107.6, "end": 2108.22, "word": " الأخرى", "probability": 0.92919921875}, {"start": 2108.22, "end": 2108.6, "word": " برضه", "probability": 0.96484375}, {"start": 2108.6, "end": 2108.8, "word": " بده", "probability": 0.82861328125}, {"start": 2108.8, "end": 2109.08, "word": " تشتغل", "probability": 0.85126953125}, {"start": 2109.08, "end": 2109.7, "word": " عليها", "probability": 0.992919921875}, {"start": 2109.7, "end": 2110.64, "word": " ال", "probability": 0.9453125}, {"start": 2110.64, "end": 2110.84, "word": " pivot", "probability": 0.9384765625}, {"start": 2110.84, "end": 2111.24, "word": " تبعها", "probability": 0.8531494140625}, {"start": 2111.24, "end": 2111.74, "word": " التسعة", "probability": 0.9620768229166666}, {"start": 2111.74, "end": 2112.9, "word": " هيجي", "probability": 0.74072265625}, {"start": 2112.9, "end": 2113.44, "word": " التمانية", "probability": 0.90625}, {"start": 2113.44, "end": 2113.88, "word": " والسبعة", "probability": 0.8349609375}, {"start": 2113.88, "end": 2114.42, "word": " جابلها", "probability": 0.82379150390625}, {"start": 2114.42, "end": 2115.32, "word": " والتسعة", "probability": 0.86346435546875}, {"start": 2115.32, "end": 2115.68, "word": " وفيش", "probability": 0.8689778645833334}, {"start": 2115.68, "end": 2115.9, "word": " شي", "probability": 0.83251953125}, {"start": 2115.9, "end": 2117.12, "word": " بعدها", "probability": 0.80859375}, {"start": 2117.12, "end": 2118.56, "word": " مصبوط؟", "probability": 0.74951171875}, {"start": 2118.56, "end": 2118.98, "word": " okay", "probability": 0.50927734375}, {"start": 2118.98, "end": 2120.46, "word": " الان", "probability": 0.711669921875}, {"start": 2120.46, "end": 2121.62, "word": " هذا", "probability": 0.90283203125}, {"start": 2121.62, "end": 2121.76, "word": " ال", "probability": 0.99169921875}, {"start": 2121.76, "end": 2122.0, "word": " pivot", "probability": 0.97412109375}, {"start": 2122.0, "end": 2122.78, "word": " الأولاني", "probability": 0.9058837890625}], "temperature": 1.0}, {"id": 79, "seek": 215152, "start": 2123.28, "end": 2151.52, "text": "التلاتة صعبة ال pivot دعونا نسميها P1 وهذا P2 يعني ال pivot التاني وهذا ال pivot النص الأولاني في ال iteration التانية I1 I2 Pivot A Pivot B", "tokens": [6027, 2655, 1211, 9307, 3660, 20328, 3615, 49401, 2423, 14538, 11778, 3615, 2407, 8315, 8717, 38251, 1829, 11296, 430, 16, 37037, 15730, 430, 17, 37495, 22653, 2423, 14538, 16712, 7649, 1829, 37037, 15730, 2423, 14538, 28239, 9381, 16247, 12610, 7649, 1829, 8978, 2423, 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divide and conquer ولا لأ divide and conquer ال division حصل على أساس ال pivot ال pivot هو اللي جسم", "tokens": [2407, 6027, 2655, 1211, 9307, 3660, 39894, 1863, 11622, 1211, 16070, 9640, 3555, 27884, 5551, 9381, 15040, 19446, 41185, 8592, 44049, 39896, 2423, 14538, 37037, 1829, 13672, 1829, 39896, 14851, 2407, 10632, 28242, 11933, 8592, 1829, 6156, 3555, 2655, 1863, 11622, 1211, 30767, 1829, 19446, 39896, 33962, 10943, 3794, 3660, 4724, 43042, 3224, 39894, 1863, 11622, 1211, 23032, 3555, 3615, 995, 6225, 18513, 14407, 5296, 1211, 148, 48506, 9154, 2423, 14538, 16712, 2304, 7649, 10632, 9154, 16247, 4587, 1211, 9154, 11296, 21136, 16758, 27884, 38637, 2304, 39896, 4724, 31371, 7435, 1829, 4032, 41185, 8592, 11933, 8592, 1829, 4032, 23557, 11296, 16712, 3794, 27884, 39894, 1863, 11622, 1211, 4032, 41185, 8592, 5551, 9381, 15040, 11933, 8592, 1829, 16490, 1211, 33546, 39896, 16490, 1211, 9381, 2655, 2423, 32411, 1392, 6156, 10721, 12610, 995, 23758, 9845, 293, 24136, 49429, 5296, 10721, 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228027, "start": 2253.57, "end": 2280.27, "text": "وهذا أقل منه وهذا أكتر منه و ال pivot التاني أكتر منه ربما احتاج الى pivot رأي اذا انا اخترت ربما احتاج الى نقطة فصل ما بيننا المهم احنا هنا ال quick sort تاخد pivot واحد pivot واحد يعني two partitions two partitions يبقى ايش دايما ال ال P قد ايش", "tokens": [2407, 3224, 15730, 5551, 4587, 1211, 9154, 3224, 37037, 15730, 5551, 4117, 2655, 2288, 9154, 3224, 4032, 2423, 14538, 16712, 7649, 1829, 5551, 4117, 2655, 2288, 9154, 3224, 12602, 3555, 15042, 1975, 33753, 26108, 2423, 7578, 14538, 12602, 10721, 1829, 1975, 15730, 1975, 8315, 1975, 46456, 43500, 12602, 3555, 15042, 1975, 33753, 26108, 2423, 7578, 8717, 47432, 3660, 6156, 36520, 19446, 49374, 8315, 9673, 16095, 1975, 5016, 8315, 34105, 2423, 1702, 1333, 6055, 47283, 3215, 14538, 36764, 24401, 14538, 36764, 24401, 37495, 22653, 732, 644, 2451, 732, 644, 2451, 7251, 3555, 4587, 7578, 1975, 1829, 8592, 11778, 47302, 15042, 2423, 2423, 430, 12174, 3215, 1975, 1829, 8592], 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2289.08, "word": " ال", "probability": 0.91845703125}, {"start": 2289.08, "end": 2289.44, "word": " B", "probability": 0.70166015625}, {"start": 2289.44, "end": 2291.0, "word": " هنا", "probability": 0.615234375}, {"start": 2291.0, "end": 2291.5, "word": " لأنها", "probability": 0.84619140625}, {"start": 2291.5, "end": 2291.64, "word": " مش", "probability": 0.98193359375}, {"start": 2291.64, "end": 2292.48, "word": " متساوية", "probability": 0.97734375}, {"start": 2292.48, "end": 2294.72, "word": " النص", "probability": 0.76611328125}, {"start": 2294.72, "end": 2295.06, "word": " هذا", "probability": 0.65478515625}, {"start": 2295.06, "end": 2295.24, "word": " لا", "probability": 0.53662109375}, {"start": 2295.24, "end": 2295.7, "word": " يساوي", "probability": 0.8963623046875}, {"start": 2295.7, "end": 2296.02, "word": " النص", "probability": 0.957763671875}, {"start": 2296.02, "end": 2296.34, "word": " هذا", "probability": 0.89453125}], "temperature": 1.0}, {"id": 86, "seek": 232127, "start": 2297.75, "end": 2321.27, "text": "فعلى الأمم احنا جسمنا ال list إلى جسمين و كل جسم علجناه و في الآخر ايش ال merge اللي عملناه؟ ماعملناش merge ولا حاجة يعني f of n هنا عمليا مش موجودة اما تقدر تعتبرها واحد يعني مافي عملية دمج لل output", "tokens": [5172, 3615, 23942, 16247, 2304, 2304, 1975, 5016, 8315, 10874, 38251, 8315, 2423, 1329, 30731, 10874, 38251, 9957, 4032, 28242, 10874, 38251, 11203, 7435, 8315, 3224, 4032, 8978, 6024, 95, 34740, 1975, 1829, 8592, 2423, 22183, 13672, 1829, 6225, 42213, 8315, 3224, 22807, 19446, 25957, 1211, 8315, 8592, 22183, 49429, 11331, 26108, 3660, 37495, 22653, 283, 295, 297, 34105, 6225, 2304, 20292, 995, 37893, 3714, 29245, 23328, 3660, 1975, 15042, 6055, 28543, 2288, 6055, 34268, 26890, 11296, 36764, 24401, 37495, 22653, 19446, 41185, 6225, 42213, 10632, 11778, 2304, 7435, 24976, 5598], "avg_logprob": -0.21331521204632262, "compression_ratio": 1.675, "no_speech_prob": 0.0, "words": [{"start": 2297.75, "end": 2298.61, "word": "فعلى", "probability": 0.7625325520833334}, {"start": 2298.61, "end": 2299.01, "word": " الأمم", "probability": 0.80615234375}, {"start": 2299.01, "end": 2299.39, "word": " احنا", "probability": 0.8230794270833334}, {"start": 2299.39, "end": 2300.11, "word": " جسمنا", "probability": 0.9402669270833334}, {"start": 2300.11, "end": 2300.85, "word": " ال", "probability": 0.85986328125}, {"start": 2300.85, "end": 2301.15, "word": " list", "probability": 0.60546875}, {"start": 2301.15, "end": 2301.61, "word": " إلى", "probability": 0.50390625}, {"start": 2301.61, "end": 2302.51, "word": " جسمين", "probability": 0.8121744791666666}, {"start": 2302.51, "end": 2303.09, "word": " و", "probability": 0.8037109375}, {"start": 2303.09, "end": 2303.33, "word": " كل", "probability": 0.447021484375}, {"start": 2303.33, "end": 2303.81, "word": " جسم", "probability": 0.986572265625}, {"start": 2303.81, "end": 2305.77, "word": " علجناه", "probability": 0.898681640625}, {"start": 2305.77, "end": 2306.11, "word": " و", "probability": 0.85205078125}, {"start": 2306.11, "end": 2306.19, "word": " في", "probability": 0.72021484375}, {"start": 2306.19, "end": 2306.77, "word": " الآخر", "probability": 0.912109375}, {"start": 2306.77, "end": 2307.47, "word": " ايش", "probability": 0.6651204427083334}, {"start": 2307.47, "end": 2307.61, "word": " ال", "probability": 0.88134765625}, {"start": 2307.61, "end": 2307.99, "word": " merge", "probability": 0.921875}, {"start": 2307.99, "end": 2308.21, "word": " اللي", "probability": 0.772705078125}, {"start": 2308.21, "end": 2308.71, "word": " عملناه؟", "probability": 0.7996826171875}, {"start": 2308.71, "end": 2309.15, "word": " ماعملناش", "probability": 0.6931884765625}, {"start": 2309.15, "end": 2309.35, "word": " merge", "probability": 0.7236328125}, {"start": 2309.35, "end": 2309.53, "word": " ولا", "probability": 0.95947265625}, {"start": 2309.53, "end": 2309.99, "word": " حاجة", "probability": 0.9931640625}, {"start": 2309.99, "end": 2310.65, "word": " يعني", "probability": 0.841796875}, {"start": 2310.65, "end": 2310.91, "word": " f", "probability": 0.54833984375}, {"start": 2310.91, "end": 2311.11, "word": " of", "probability": 0.75830078125}, {"start": 2311.11, "end": 2311.35, "word": " n", "probability": 0.9326171875}, {"start": 2311.35, "end": 2311.73, "word": " هنا", "probability": 0.94921875}, {"start": 2311.73, "end": 2312.79, "word": " عمليا", "probability": 0.9158935546875}, {"start": 2312.79, "end": 2313.53, "word": " مش", "probability": 0.91796875}, {"start": 2313.53, "end": 2314.03, "word": " موجودة", "probability": 0.9810791015625}, {"start": 2314.03, "end": 2314.29, "word": " اما", "probability": 0.74853515625}, {"start": 2314.29, "end": 2315.03, "word": " تقدر", "probability": 0.8416341145833334}, {"start": 2315.03, "end": 2315.51, "word": " تعتبرها", "probability": 0.8321533203125}, {"start": 2315.51, "end": 2316.01, "word": " واحد", "probability": 0.975830078125}, {"start": 2316.01, "end": 2317.75, "word": " يعني", "probability": 0.6759033203125}, {"start": 2317.75, "end": 2318.13, "word": " مافي", "probability": 0.9365234375}, {"start": 2318.13, "end": 2318.85, "word": " عملية", "probability": 0.935546875}, {"start": 2318.85, "end": 2319.63, "word": " دمج", "probability": 0.9422200520833334}, {"start": 2319.63, "end": 2320.23, "word": " لل", "probability": 0.394287109375}, {"start": 2320.23, "end": 2321.27, "word": " output", "probability": 0.9921875}], "temperature": 1.0}, {"id": 87, "seek": 235011, "start": 2322.71, "end": 2350.11, "text": "بتبع ال instance الأولى مع ال output بتبع ال instance الأخرى محاضرة جايش هو لما نطلع على ال analysis بس واضح أنه هي و ال .. و ال quick sort .. أسف و ال merge sort فيه اللي هم ايش فيه اللي هم best case و worst case و average case okay خلاص يبقى ضالة هي ال slide هذه الأخيرة نمر عليها و بعدين بنكمل في مثال أخر من أمثلة ال divide and conquer يعطيكم العافية", "tokens": [3555, 2655, 3555, 3615, 2423, 5197, 16247, 12610, 7578, 20449, 2423, 5598, 39894, 3555, 3615, 2423, 5197, 16247, 34740, 7578, 3714, 5016, 46958, 25720, 10874, 47302, 8592, 31439, 5296, 15042, 8717, 9566, 1211, 3615, 15844, 2423, 5215, 4724, 3794, 4032, 46958, 5016, 14739, 3224, 39896, 4032, 2423, 4386, 4032, 2423, 1702, 1333, 4386, 5551, 3794, 5172, 4032, 2423, 22183, 1333, 8978, 3224, 13672, 1829, 8032, 2304, 1975, 1829, 8592, 8978, 3224, 13672, 1829, 8032, 2304, 1151, 1389, 4032, 5855, 1389, 4032, 4274, 1389, 1392, 16490, 1211, 33546, 7251, 3555, 4587, 7578, 48812, 6027, 3660, 39896, 2423, 4137, 29538, 16247, 9778, 48923, 8717, 29973, 25894, 11296, 4032, 39182, 9957, 44945, 24793, 1211, 8978, 50113, 6027, 5551, 34740, 9154, 5551, 2304, 12984, 37977, 2423, 9845, 293, 24136, 37495, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.265272547427873, "compression_ratio": 1.7718120805369129, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2322.71, "end": 2323.01, "word": "بتبع", "probability": 0.635528564453125}, {"start": 2323.01, "end": 2323.11, "word": " ال", "probability": 0.97509765625}, {"start": 2323.11, "end": 2323.35, "word": " instance", "probability": 0.7431640625}, {"start": 2323.35, "end": 2323.87, "word": " الأولى", "probability": 0.9029947916666666}, {"start": 2323.87, "end": 2324.07, "word": " مع", "probability": 0.95849609375}, {"start": 2324.07, "end": 2324.41, "word": " ال", "probability": 0.83935546875}, {"start": 2324.41, "end": 2324.61, "word": " output", "probability": 0.9736328125}, {"start": 2324.61, "end": 2324.83, "word": " بتبع", "probability": 0.7757161458333334}, {"start": 2324.83, "end": 2324.93, "word": " ال", "probability": 0.96533203125}, {"start": 2324.93, "end": 2325.19, "word": " instance", "probability": 0.93408203125}, {"start": 2325.19, "end": 2325.51, "word": " الأخرى", "probability": 0.5847981770833334}, {"start": 2325.51, "end": 2325.85, "word": " محاضرة", "probability": 0.83135986328125}, {"start": 2325.85, "end": 2326.17, "word": " جايش", "probability": 0.5701497395833334}, {"start": 2326.17, "end": 2326.25, "word": " هو", "probability": 0.120361328125}, {"start": 2326.25, "end": 2326.35, "word": " لما", "probability": 0.59521484375}, {"start": 2326.35, "end": 2326.65, "word": " نطلع", "probability": 0.8658447265625}, {"start": 2326.65, "end": 2326.77, "word": " على", "probability": 0.80029296875}, {"start": 2326.77, "end": 2326.89, "word": " ال", "probability": 0.94921875}, {"start": 2326.89, "end": 2327.29, "word": " analysis", "probability": 0.80810546875}, {"start": 2327.29, "end": 2328.97, "word": " بس", "probability": 0.983154296875}, {"start": 2328.97, "end": 2329.45, "word": " واضح", "probability": 0.9480794270833334}, {"start": 2329.45, "end": 2330.09, "word": " أنه", "probability": 0.697998046875}, {"start": 2330.09, "end": 2330.61, "word": " هي", "probability": 0.83642578125}, {"start": 2330.61, "end": 2330.91, "word": " و", "probability": 0.70263671875}, {"start": 2330.91, "end": 2331.19, "word": " ال", "probability": 0.88720703125}, {"start": 2331.19, "end": 2331.39, "word": " ..", "probability": 0.43359375}, {"start": 2331.39, "end": 2331.75, "word": " و", "probability": 0.923828125}, {"start": 2331.75, "end": 2332.25, "word": " ال", "probability": 0.9833984375}, {"start": 2332.25, "end": 2333.05, "word": " quick", "probability": 0.8798828125}, {"start": 2333.05, "end": 2333.45, "word": " sort", "probability": 0.7919921875}, {"start": 2333.45, "end": 2334.13, "word": " ..", "probability": 0.368896484375}, {"start": 2334.13, "end": 2334.31, "word": " أسف", "probability": 0.7884928385416666}, {"start": 2334.31, "end": 2334.43, "word": " و", "probability": 0.8916015625}, {"start": 2334.43, "end": 2334.91, "word": " ال", "probability": 0.95361328125}, {"start": 2334.91, "end": 2335.29, "word": " merge", "probability": 0.77197265625}, {"start": 2335.29, "end": 2335.63, "word": " sort", "probability": 0.93408203125}, {"start": 2335.63, "end": 2336.25, "word": " فيه", "probability": 0.64697265625}, {"start": 2336.25, "end": 2336.37, "word": " اللي", "probability": 0.828369140625}, {"start": 2336.37, "end": 2336.53, "word": " هم", "probability": 0.800048828125}, {"start": 2336.53, "end": 2336.83, "word": " ايش", "probability": 0.6874186197916666}, {"start": 2336.83, "end": 2337.91, "word": " فيه", "probability": 0.5474853515625}, {"start": 2337.91, "end": 2337.99, "word": " اللي", "probability": 0.89794921875}, {"start": 2337.99, "end": 2338.05, "word": " هم", "probability": 0.955322265625}, {"start": 2338.05, "end": 2338.23, "word": " best", "probability": 0.9609375}, {"start": 2338.23, "end": 2338.49, "word": " case", "probability": 0.9716796875}, {"start": 2338.49, "end": 2338.59, "word": " و", "probability": 0.98681640625}, {"start": 2338.59, "end": 2338.79, "word": " worst", "probability": 0.986328125}, {"start": 2338.79, "end": 2339.01, "word": " case", "probability": 0.96826171875}, {"start": 2339.01, "end": 2339.13, "word": " و", "probability": 0.9951171875}, {"start": 2339.13, "end": 2339.37, "word": " average", "probability": 0.82861328125}, {"start": 2339.37, "end": 2339.83, "word": " case", "probability": 0.97119140625}, {"start": 2339.83, "end": 2341.79, "word": " okay", "probability": 0.458740234375}, {"start": 2341.79, "end": 2342.07, "word": " خلاص", "probability": 0.9788411458333334}, {"start": 2342.07, "end": 2342.29, "word": " يبقى", "probability": 0.7376708984375}, {"start": 2342.29, "end": 2342.57, "word": " ضالة", "probability": 0.9386393229166666}, {"start": 2342.57, "end": 2342.75, "word": " هي", "probability": 0.80322265625}, {"start": 2342.75, "end": 2342.89, "word": " ال", "probability": 0.85400390625}, {"start": 2342.89, "end": 2343.11, "word": " slide", "probability": 0.98046875}, {"start": 2343.11, "end": 2343.27, "word": " هذه", "probability": 0.64306640625}, {"start": 2343.27, "end": 2343.65, "word": " الأخيرة", "probability": 0.9695638020833334}, {"start": 2343.65, "end": 2344.11, "word": " نمر", "probability": 0.5731201171875}, {"start": 2344.11, "end": 2344.39, "word": " عليها", "probability": 0.9873046875}, {"start": 2344.39, "end": 2344.49, "word": " و", "probability": 0.91357421875}, {"start": 2344.49, "end": 2344.71, "word": " بعدين", "probability": 0.849609375}, {"start": 2344.71, "end": 2345.39, "word": " بنكمل", "probability": 0.7618815104166666}, {"start": 2345.39, "end": 2346.13, "word": " في", "probability": 0.83203125}, {"start": 2346.13, "end": 2346.53, "word": " مثال", "probability": 0.7900390625}, {"start": 2346.53, "end": 2346.99, "word": " أخر", "probability": 0.71044921875}, {"start": 2346.99, "end": 2347.41, "word": " من", "probability": 0.99365234375}, {"start": 2347.41, "end": 2347.77, "word": " أمثلة", "probability": 0.9638671875}, {"start": 2347.77, "end": 2348.05, "word": " ال", "probability": 0.59375}, {"start": 2348.05, "end": 2348.31, "word": " divide", "probability": 0.93505859375}, {"start": 2348.31, "end": 2348.51, "word": " and", "probability": 0.95458984375}, {"start": 2348.51, "end": 2348.99, "word": " conquer", "probability": 0.98291015625}, {"start": 2348.99, "end": 2349.73, "word": " يعطيكم", "probability": 0.7998046875}, {"start": 2349.73, "end": 2350.11, "word": " العافية", "probability": 0.8912760416666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2350.20775, "duration_after_vad": 2205.329374999992}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kHekn9t-eYA.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kHekn9t-eYA.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7d9aae72d2901840f2e34bfb337c961de549b9c1
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kHekn9t-eYA.srt
@@ -0,0 +1,1375 @@
+
+1
+00:00:20,960 --> 00:00:23,120
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:23,120 --> 00:00:28,940
+المصريين اليوم إن شاء الله بنكمل آخر موضوع في ال
+
+3
+00:00:28,940 --> 00:00:34,100
+brute force algorithm كنا قبلها كده طلعنا على
+
+4
+00:00:34,100 --> 00:00:39,700
+اللي هو الـ exhaustive
+
+5
+00:00:39,700 --> 00:00:47,280
+search وشوفنا ثلاثة أمثلة عليه اللي هم كانوا الـ ..
+
+6
+00:00:47,280 --> 00:00:52,270
+الـ Salesman Problem والـ Assignment والـ
+
+7
+00:00:52,270 --> 00:00:56,670
+Knapsack Problem، صح؟ اليوم إن شاء الله ضمن أيضًا
+
+8
+00:00:56,670 --> 00:01:00,010
+الـ Brute Force Algorithms فيه اللي هو الـ Graph
+
+9
+00:01:00,010 --> 00:01:03,650
+Traversal Algorithms بالتحديد الـ Depth First والـ
+
+10
+00:01:03,650 --> 00:01:07,870
+Breadth First أعتقد أن بعض منكم يعرفها، بس إحنا
+
+11
+00:01:07,870 --> 00:01:12,470
+هنتعامل معاها كما لو كانت يعني لسه أول مرة تتعامل
+
+12
+00:01:12,470 --> 00:01:16,830
+معاها. معظم وقت المحاضرة بتاعي هيروح على الـ Depth
+
+13
+00:01:16,830 --> 00:01:21,130
+First. الـ breadth-first احتمال يكون في وجهة نحكي
+
+14
+00:01:21,130 --> 00:01:24,830
+فيها، أو احتمال لا. إذا ما حكيناش فيها، كل اللي بنحكي
+
+15
+00:01:24,830 --> 00:01:29,430
+هنا، أو إذا استوعبنا لهنا، هنقدر نستوعب هذا الـ
+
+16
+00:01:29,430 --> 00:01:36,750
+breadth-first بسهولة. فبقدر أترككم إياها تتطلعوا
+
+17
+00:01:36,750 --> 00:01:42,640
+عليها لوحدكم. فاحنا الآن الـ depth-first search أولًا
+
+18
+00:01:42,640 --> 00:01:46,200
+هو Graph traversal algorithm. الـ traversal هنا
+
+19
+00:01:46,200 --> 00:01:50,900
+يعني مرور على الـ nodes والـ graph.. بنعرف إيش
+
+20
+00:01:50,900 --> 00:01:55,800
+الـ graph، وبنعرف الـ tree، وبنعرف الفرق ما بينهم. ف
+
+21
+00:01:55,800 --> 00:01:59,940
+..وإنه الـ graph هو الحالة أو الـ .. الـ .. الأعم
+
+22
+00:01:59,940 --> 00:02:03,880
+والـ tree هي حالة خاصة من الـ graph. إحنا الـ graph
+
+23
+00:02:03,880 --> 00:02:10,420
+mathematically بنرمز له بإيش؟ بنرمز له بـ إيش؟
+
+24
+00:02:10,420 --> 00:02:16,140
+بيه، اللي هو مجموعة الـ vertices ومجموعة الـ edges.
+
+25
+00:02:16,140 --> 00:02:20,980
+فأنا
+
+26
+00:02:20,980 --> 00:02:28,140
+ممكن يكون في عندي graph زي هيك. هذا graph، الدائرة
+
+27
+00:02:28,140 --> 00:02:31,560
+الزرقية هذه هي الـ vertices، الـ vertices أو الـ nodes.
+
+28
+00:02:31,560 --> 00:02:37,160
+vertices جمع vertex، تمام؟
+
+29
+00:02:40,210 --> 00:02:45,690
+والخطوط الحمراء هذه هي الـ edges، يعني
+
+30
+00:02:45,690 --> 00:02:49,130
+مثلًا لو أنا بدي أعبر عنه، الـ V هنا هي عبارة عن
+
+31
+00:02:49,130 --> 00:02:56,630
+المجموعة set، هذا {A,B,C,D,E,F,G}، وعندي الـ H، الـ H
+
+32
+00:02:56,630 --> 00:03:02,330
+هذه المجموعة هي الـ capital V. الـ E هي مجموعة أخرى
+
+33
+00:03:02,330 --> 00:03:07,960
+من الـ edges. كل edge تمثل بـ  من الـ vertices
+
+34
+00:03:07,960 --> 00:03:20,220
+اللي على أطرافها. فعندي أنا AE و AB و AF و BG. هل
+
+35
+00:03:20,220 --> 00:03:25,580
+أكرر، عندي كتابة AE، هل برضه أكتب EA؟ على حسب إذا الـ
+
+36
+00:03:25,580 --> 00:03:29,460
+graph directed ولا مش directed، صح؟  ان اعتبر هذا
+
+37
+00:03:29,460 --> 00:03:33,600
+undirected، مش directed، آه وبالتالي الـ AE والـ EA
+
+38
+00:03:33,600 --> 00:03:39,060
+نفس الشيء طبعًا، فالـ BG
+
+39
+00:03:39,060 --> 00:03:48,400
+بعدين الـ CG أو GC نفس الشيء، GH و CD
+
+40
+00:03:51,730 --> 00:03:55,210
+هذه مجموعة، أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة،
+
+41
+00:03:55,210 --> 00:03:55,550
+أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة،
+
+42
+00:03:55,550 --> 00:03:56,710
+أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة،
+
+43
+00:03:56,710 --> 00:04:02,230
+أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة،
+
+44
+00:04:02,230 --> 00:04:03,250
+أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة،
+
+45
+00:04:03,250 --> 00:04:03,970
+أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة، أو مجموعة،
+
+46
+00:04:03,970 --> 00:04:06,500
+أو مجموعة، أو مجموعة. الـ Algorithm اللي هنطلع عليها
+
+47
+00:04:06,500 --> 00:04:12,020
+هتعمل labeling للـ nodes فقط، يعني هنا المرور عليهم
+
+48
+00:04:12,020 --> 00:04:15,760
+مش بهدف الـ search، ولا هدف أي حاجة، هدف بس إن إحنا
+
+49
+00:04:15,760 --> 00:04:19,480
+نمر عليهم. كل واحد node بيتم المرور عليها، بنعطيها
+
+50
+00:04:19,480 --> 00:04:23,760
+counter، بنعطيها إن هذه أول واحدة شفناها مثلًا الـ A
+
+51
+00:04:25,800 --> 00:04:29,360
+أي، بتبدأ تاخد رقم واحد. وبعد ذلك رأينا مثلًا B، بتبدأ
+
+52
+00:04:29,360 --> 00:04:33,540
+تاخد رقم اتنين. وبعدها ثلاثة. فالـ algorithm وظيفتها
+
+53
+00:04:33,540 --> 00:04:39,560
+بتبدأ تكون labeling أو numbering، okay. فخلّيني أطلع
+
+54
+00:04:39,560 --> 00:04:40,900
+على الـ algorithm نفسها.
+
+55
+00:04:44,380 --> 00:04:47,820
+الـ Input تبعها عبارة عن Graph، الـ Graph، وعبارة
+
+56
+00:04:47,820 --> 00:04:50,540
+عن المجموعتين هدول، الـ Output تبعها
+
+57
+00:04:50,540 --> 00:04:54,520
+عبارة عن نفس الـ Graph with its vertices، النودس
+
+58
+00:04:54,520 --> 00:04:58,840
+هذه، labelled أو marked with الـ consecutive
+
+59
+00:04:58,840 --> 00:05:02,100
+integers، يعني بالترتيب، واحد، اتنين، ثلاثة،
+
+60
+00:05:02,100 --> 00:05:04,780
+الأرقام، in the order they have been first
+
+61
+00:05:04,780 --> 00:05:07,780
+encountered، first encountered يعني first visited،
+
+62
+00:05:07,780 --> 00:05:12,700
+حسب ما بالترتيب. الـ zero term يعني by the DFS
+
+63
+00:05:12,700 --> 00:05:16,400
+traversal، in the order they have been. تمام، خلاص.
+
+64
+00:05:16,400 --> 00:05:19,160
+هاي الوصفة الـ Algorithmية. لأن أول حاجة الـ
+
+65
+00:05:19,160 --> 00:05:23,140
+Algorithmية بتسويها إنها مبدئيًا بتروح على كل الـ
+
+66
+00:05:23,140 --> 00:05:28,420
+vertices، وتعطيهم zero، إنه not visited، ماشي، okay.
+
+67
+00:05:28,420 --> 00:05:37,860
+Mark each vertex a in V with zero as a
+
+68
+00:05:37,860 --> 00:05:42,030
+mark of being unvisited. خلّي بالك إن الـ Algorithm
+
+69
+00:05:42,030 --> 00:05:47,670
+فيه  زي ما نقول لها main ولها sub، بمعنى إن الـ
+
+70
+00:05:47,670 --> 00:05:51,010
+Algorithm الكبير الأساسي بتستخدم sub Algorithm
+
+71
+00:05:51,010 --> 00:05:56,150
+اللي هي بتعمل عملية الـ visiting، في الواقع DFS الـ
+
+72
+00:05:56,150 --> 00:06:00,590
+capital وDFS الـ small. فأول
+
+73
+00:06:00,590 --> 00:06:02,990
+شيء الـ counter ببدأ من zero، وبعدين بتروح الـ
+
+74
+00:06:02,990 --> 00:06:07,850
+algorithm وهي، as for each vertex in first vertex
+
+75
+00:06:07,850 --> 00:06:15,370
+V in V، دو اللي هو أول شيء. إذا V هذه، إذا الـ vertex
+
+76
+00:06:15,370 --> 00:06:20,530
+الـ vertex هذه is marked with zero، يعني لما يتم
+
+77
+00:06:20,530 --> 00:06:25,910
+زيارتها، بروح بنستدعي عليها اللي هو الـ small DFS الـ
+
+78
+00:06:25,910 --> 00:06:31,690
+DFS small هذه إيش بتسوي؟ بتروح بتعلم عليها إنها has
+
+79
+00:06:31,690 --> 00:06:36,170
+been visited، بأنها بتعطيها الـ counter تبعها أو الـ
+
+80
+00:06:36,170 --> 00:06:39,450
+counter تبعها، وبعدها أنت بتروح تشوف إذا فيه إيش
+
+81
+00:06:39,450 --> 00:06:45,510
+edges متصلة بها، edges متصلة بها، وبتروح تشوف الـ
+
+82
+00:06:45,510 --> 00:06:48,550
+nodes أو الـ vertices اللي على هذه الـ edges، عشان
+
+83
+00:06:48,550 --> 00:06:53,450
+تزورهم. فـ count
+
+84
+00:06:54,950 --> 00:06:59,330
+بتعملوا increment، وبعدين بتعطي على طول الـ V اللي
+
+85
+00:06:59,330 --> 00:07:03,930
+هي الـ studied، هيت عليها، بتعطيها إيش؟ بتعطيها الـ
+
+86
+00:07:03,930 --> 00:07:09,950
+count. بعدين كـ for each كـ vertex W in V، هو adjacent
+
+87
+00:07:09,950 --> 00:07:14,810
+للـ node اللي إحنا عليها، هذا الـ node الحالي. وهذه كل
+
+88
+00:07:14,810 --> 00:07:18,510
+واحدة من مين؟ من الـ children. سمعت حد قال children.
+
+89
+00:07:18,510 --> 00:07:24,560
+children بنقول children لما نكون tree، صح؟ عندما
+
+90
+00:07:24,560 --> 00:07:27,940
+نكون tree، بس عندما نكون graph، بنقول عنه
+
+91
+00:07:27,940 --> 00:07:35,920
+adjacent أو neighbor، neighbor، تمام. فـ if
+
+92
+00:07:35,920 --> 00:07:43,000
+W، هدول الـ W هم عبارة عن neighbors، إذا في منهم تم
+
+93
+00:07:43,000 --> 00:07:43,620
+زيارتها.
+
+94
+00:07:46,360 --> 00:07:50,300
+بنطلعش عليه، إذا لسه الـ mark تبعته zero، يعني
+
+95
+00:07:50,300 --> 00:07:56,100
+unvisited، بنروح نستدعي الـ DFS نفس عليها، تمام؟ هل
+
+96
+00:07:56,100 --> 00:08:01,820
+هذا الآن الـ call، هذه بتضمن إنه يتم المرور عليها من
+
+97
+00:08:01,820 --> 00:08:07,000
+الـ depth first؟ إيش يعني الـ depth first؟ يعني كل
+
+98
+00:08:07,000 --> 00:08:12,540
+node، بدنا نشوف المتصل بها، والمتصل بـها، بنشوف إيش
+
+99
+00:08:12,540 --> 00:08:16,200
+فيه متصل كمان، قبل ما نشوف إيش فيه الـ siblings.
+
+100
+00:08:16,200 --> 00:08:22,320
+تمام، قبل ما نشوف الـ siblings. فالآن لما الـ
+
+101
+00:08:22,320 --> 00:08:26,180
+algorithm هذا بدنا نطبقها على جولي الـ graph اللي
+
+102
+00:08:26,180 --> 00:08:33,280
+هو هذا، بنروح
+
+103
+00:08:33,280 --> 00:08:38,960
+إيش نسوي؟ بنروح نستخدم الآن إيش؟ stack. stack هذا
+
+104
+00:08:38,960 --> 00:08:44,110
+اللي بنحط فيه الـ nodes اللي بيتم زيارتهم، كل واحدة
+
+105
+00:08:44,110 --> 00:08:48,990
+بنشوفها بنحطها على stack. فإحنا هنستدعي الـ
+
+106
+00:08:48,990 --> 00:08:52,490
+algorithm بدايتها من الـ A. فالـ A هي اللي بتنزل في
+
+107
+00:08:52,490 --> 00:09:00,950
+الأول. خلينا نكتب بالأصفر عشان يبقى أوضح، okay.
+
+108
+00:09:00,950 --> 00:09:02,450
+لأن الـ A
+
+109
+00:09:06,310 --> 00:09:13,090
+استدعيناها، اجت الـ DFS عملت لها marking، أعطتها رقم
+
+110
+00:09:13,090 --> 00:09:17,650
+واحد. بعد هي إيش بدنا نسوي؟ بتبقى تشوف الـ edges
+
+111
+00:09:17,650 --> 00:09:22,570
+المتصلة بها، الـ A، مين متصل بها؟ هدول بدنا
+
+112
+00:09:22,570 --> 00:09:25,790
+نتفق على إنه بدنا ناخد حسب الـ alphabetical order.
+
+113
+00:09:25,790 --> 00:09:36,040
+يعني ما بين هدول هناخد مين؟ الـ B. الـ B بتبدأ تنزل على
+
+114
+00:09:36,040 --> 00:09:40,600
+الـ stack، و
+
+115
+00:09:40,600 --> 00:09:49,020
+أنا بنزل الـ node من الـ stack لما .. لما
+
+116
+00:09:49,020 --> 00:09:56,260
+أنا أصل لـ node dead end، ما فيش إلها edges
+
+117
+00:09:56,260 --> 00:10:01,400
+adjacent أو neighbors، أو لما أنا خلاص أكون فحصت كل
+
+118
+00:10:01,400 --> 00:10:04,780
+أو زرت كل الـ neighbors اللي متصلين بها. إذا هي إلها
+
+119
+00:10:04,780 --> 00:10:08,940
+neighbors وأنا فحصتهم كلهم خلاص، بكون آني إن أنا
+
+120
+00:10:08,940 --> 00:10:14,040
+أشيلها، أو أكون واقف على node، والـ node هذه ما إلها
+
+121
+00:10:14,040 --> 00:10:17,280
+أجزاء، خلاص دخلت عليها وما إلها أجزاء، على طول بروح
+
+122
+00:10:17,280 --> 00:10:22,600
+بشيلها، تمام؟ بعد ذلك الـ B، الـ B إيش الـ edges اللي
+
+123
+00:10:22,600 --> 00:10:28,200
+متصلة بها؟ اللي هم الثلاثة دول. الآن أنا already
+
+124
+00:10:28,200 --> 00:10:34,180
+جاي من الـ A، هذا اللي هو بقدر أنا أسميه parent، بقدر
+
+125
+00:10:34,180 --> 00:10:38,120
+أقول عنه parent، لأن أنا جاي منه مباشرة، فهذا بـ ..
+
+126
+00:10:38,120 --> 00:10:41,560
+already أصلاً عندي، الساق هيته، فبأفحصهش، بروح أشوف
+
+127
+00:10:41,560 --> 00:10:46,460
+إيه الـ edges الأخرى. في عندي الـ F والـ G من الـ B، في
+
+128
+00:10:46,460 --> 00:10:52,770
+عندي الـ F مش محطوطة، هذه إحنا ماشيين مكملين كله، واللي
+
+129
+00:10:52,770 --> 00:10:58,290
+هي في هذه، وهي خليني أحط هنا برضه B F، تمام؟
+
+130
+00:10:58,290 --> 00:11:04,910
+ماشي، هنتفق إننا ناخد مين؟ الـ F الأول، لأنها ترتيب
+
+131
+00:11:04,910 --> 00:11:10,970
+أبجدي، okay.
+
+132
+00:11:12,820 --> 00:11:17,260
+من الـ F الآن، في عندي ثلاثة edges، هدول، هذي اللي
+
+133
+00:11:17,260 --> 00:11:19,740
+هي الـ parent، هذي الـ F برضه مش محطوطة هنا، المهم
+
+134
+00:11:19,740 --> 00:11:23,320
+خلاص، نتبع على الرسم، هذي الـ parent المباشر، أو الـ
+
+135
+00:11:23,320 --> 00:11:26,480
+link المباشر اللي أنا جاي منها. هذي الـ parent موجود
+
+136
+00:11:26,480 --> 00:11:31,760
+already على الـ stack، هذي لسه جديدة، بنحطها، تدخل رقم
+
+137
+00:11:31,760 --> 00:11:38,000
+أربعة، okay. الآن الـ E اللي بيطلع المجاور إليها
+
+138
+00:11:39,400 --> 00:11:45,140
+already has been marked، صح؟ لهم الـ F والـ A، فخلاص
+
+139
+00:11:45,140 --> 00:11:48,560
+هذه الآن dead end، الآن بقدر أشيلها من الـ stack.
+
+140
+00:11:48,560 --> 00:11:55,120
+تمام، وبيجي بعد ذلك الدور على الـ F.
+
+141
+00:11:59,890 --> 00:12:03,670
+برضه كمان، كل الـ edges اللي متواصلة بها، هي دي بتودي
+
+142
+00:12:03,670 --> 00:12:06,230
+على B، B تم زيارتها، هي دي بتودي على الـ A، تم
+
+143
+00:12:06,230 --> 00:12:09,650
+زيارتها، بتودي على الـ E، تم زيارتها، يبقى برضه بقدر
+
+144
+00:12:09,650 --> 00:12:13,230
+أشيلها. الآن بيجي الدور على الـ B، الـ B في هذه
+
+145
+00:12:13,230 --> 00:12:18,430
+ثلاثة edges، الـ A والـ F تم زيارتهم، الـ G لسه، فبنحط
+
+146
+00:12:18,430 --> 00:12:22,990
+الـ G على الـ stack، تدخل رقم خمسة، okay. فممكن تتبع
+
+147
+00:12:22,990 --> 00:12:28,320
+هذا الأمر، أنت في الآخر هيطلع معاك إيش؟ الـ stack
+
+148
+00:12:28,320 --> 00:12:32,560
+هذه، أو ممكن تعبّر عنها بالشكل هذا، إنك تقول A
+
+149
+00:12:32,560 --> 00:12:37,740
+وتعطيها رقم واحد، بعدين B تعطيها رقم اتنين، وF
+
+150
+00:12:37,740 --> 00:12:41,600
+تعطيها رقم ثلاثة، الـ E تعطيها رقم أربعة، والـ G رقم
+
+151
+00:12:41,600 --> 00:12:47,500
+خمسة. وبعد هيك أيضًا، تعطي أرقام ثانية جنب الأرقام
+
+152
+00:12:47,500 --> 00:12:52,180
+هذه، اللي هي ترتيب الخروج من الـ stack، بمعنى إنه مين
+
+153
+00:12:52,180 --> 00:12:56,560
+أول واحد طلع من الـ stack كانت E، صح؟ تعطيها رقم واحد،
+
+154
+00:12:56,560 --> 00:13:03,440
+بعدين F تعطيها رقم اتنين، okay، زي ما هو عامل، وين
+
+155
+00:13:03,440 --> 00:13:08,400
+عامل؟ مش في الـ slides، في الكتاب هتشوف الكلام هذا.
+
+156
+00:13:08,400 --> 00:13:16,940
+خلينا نشوف الكتاب، خلينا
+
+157
+00:13:16,940 --> 00:13:17,620
+نشيل هذا.
+
+158
+00:13:37,230 --> 00:13:42,090
+هذا هو رقم الدخول إلى stack، وهذا رقم الخروج
+
+159
+00:13:42,090 --> 00:13:52,190
+منها. شغل آخر هو برضه بدنا نعمله، اللي هي نكمل هذا
+
+160
+00:13:52,190 --> 00:13:56,420
+ولا خلاص؟ خلاص، بدنا نيجي هنا على الـ tree. الـ Tree
+
+161
+00:13:56,420 --> 00:13:59,820
+بدنا نرسم هنا اللي هو الـ nodes، بداية من اللي بدأنا
+
+162
+00:13:59,820 --> 00:14:04,440
+فيه، اللي هي الـ A. بعد ذلك روحنا على مين؟ على الـ B.
+
+163
+00:14:04,440 --> 00:14:13,260
+تمام؟ من الـ B روحنا على إيش؟ على الـ F، صح؟ من الـ F
+
+164
+00:14:13,260 --> 00:14:18,840
+روحنا على إيش؟ على الـ E، okay. بعد ذلك لما شلنا الـ
+
+165
+00:14:18,840 --> 00:14:23,140
+E والـ F، رجعنا للـ B، ومن الـ B اتفرعنا على another
+
+166
+00:14:23,140 --> 00:14:31,560
+edge اللي هي الـ G. بعدها الـ G هيجي نتفرع منها الـ C
+
+167
+00:14:31,560 --> 00:14:34,920
+صح؟
+
+168
+00:14:34,920 --> 00:14:39,940
+والـ H. بس قبل ما نروح على الـ H، الـ C بتفرع منها
+
+169
+00:14:39,940 --> 00:14:44,940
+الـ D، مظبوط. الـ D، ما شفناهاش لسه، نعم، تيجي الـ D
+
+170
+00:14:44,940 --> 00:14:51,200
+بعدين، نرتب ثاني على الـ C، و then على الـ G، بعدين
+
+171
+00:14:51,200 --> 00:15:02,340
+بنروح بنشوف الـ H، خلاص، آه. من الـ D الـ
+
+172
+00:15:02,340 --> 00:15:09,480
+H، ما هو الـ H، إحنا إحنا بعد الـ C روحنا على إيش؟ على
+
+173
+00:15:09,480 --> 00:1
+
+223
+00:19:59,080 --> 00:20:05,320
+عن هذه الآن هذا الـ Depth of the Algorithm من الـ
+
+224
+00:20:05,320 --> 00:20:09,600
+Algorithm اللي ال Complexity تبعتها بتعتمد على
+
+225
+00:20:09,600 --> 00:20:13,540
+شو طبيعة الـ Data Structure اللي مستخدمة هنا؟ هيدجي
+
+226
+00:20:13,540 --> 00:20:16,440
+الـ processing time مختلف عن الـ processing time هنا
+
+227
+00:20:16,440 --> 00:20:23,260
+بدنا نلف على كل هدول، هدول عبارة عن أن هنا هي
+
+228
+00:20:23,260 --> 00:20:31,620
+عدد الـ vertices، هذا الإشارة اللي هو cardinality
+
+229
+00:20:31,620 --> 00:20:37,840
+تبع الـ set اللي هو عدد عناصره، بينما هنا .. هنا عندي
+
+230
+00:20:37,840 --> 00:20:42,080
+عدد الـ nodes و برضه كمان زائد معاهم عدد الـ edges
+
+231
+00:20:42,080 --> 00:20:45,920
+هو اللي بيأثر على الـ processing time كده. فيه
+
+232
+00:20:45,920 --> 00:20:49,420
+nodes و كده فيه edges، يعني افترض أن كل الـ nodes
+
+233
+00:20:49,420 --> 00:20:51,500
+مربطين مع كل الـ nodes
+
+234
+00:20:55,330 --> 00:20:59,450
+فيه عدد كبير من الـ edges، يعني أن الـ processing
+
+235
+00:20:59,450 --> 00:21:03,570
+time أكتر، إنما لما يكون عدد الـ edges صغير، مش كل
+
+236
+00:21:03,570 --> 00:21:06,930
+الـ nodes مرتبطة مع بعضها، بيبقى أقل، فأصبحت الـ
+
+237
+00:21:06,930 --> 00:21:12,920
+complexity تبعت الـ Algorithm DFS. أما إذا بستخدم
+
+238
+00:21:12,920 --> 00:21:18,660
+adjacency matrix فهي تبقى Big Theta of V<sup>2</sup>. أما إذا
+
+239
+00:21:18,660 --> 00:21:21,860
+بستخدم adjacency list فهي تبقى Big Theta of عدد الـ
+
+240
+00:21:21,860 --> 00:21:26,500
+V زائد عدد الـ edges. طيب
+
+241
+00:21:26,500 --> 00:21:36,760
+الآن عملياً إتعرفنا على اللي هو الـ Algorithm
+
+242
+00:21:38,710 --> 00:21:44,830
+أولاً هنا تعريف الـ Algorithm
+
+243
+00:21:47,930 --> 00:21:52,630
+كيف أنا ممكن أعرف عن الـ execution تبعتها من خلال
+
+244
+00:21:52,630 --> 00:21:56,070
+الـ traversal من خلال الـ stack ومن خلال الـ tree
+
+245
+00:21:56,070 --> 00:22:01,410
+برضه كمان اللي هو الملاحظات هذه، الـ complexity هنا
+
+246
+00:22:01,410 --> 00:22:06,570
+هذه النقطة اللي قلناها، وهي أن أنا ممكن أعطي مش بس
+
+247
+00:22:06,570 --> 00:22:10,070
+الـ ordering تبع الزيارة، اللي أيضاً كمان الـ ordering
+
+248
+00:22:10,070 --> 00:22:14,530
+تبع الخروج من الـ stack، وهذا يعطيني مؤشر من الـ leaf
+
+249
+00:22:14,530 --> 00:22:21,210
+nodes اللي بتتم معالجتها، لأن من اللي بتخرج من
+
+250
+00:22:21,210 --> 00:22:28,290
+العملية المعالجة قبل أي node بزورها، مش بالضرورة
+
+251
+00:22:28,290 --> 00:22:33,350
+أعالجها، الـ visit order، يعني مفترض أن أنا بدي أطبق
+
+252
+00:22:33,350 --> 00:22:38,940
+الـ DFS هذه في عملية بحث. معنى ذلك أن أنا عندي
+
+253
+00:22:38,940 --> 00:22:43,300
+value وبدأ أفحص الـ graph، هل الـ value هذا موجود في
+
+254
+00:22:43,300 --> 00:22:48,920
+أحد الـ nodes؟ فأنا ممكن أمر عليهم، لكن ما أفحص الـ
+
+255
+00:22:48,920 --> 00:22:53,320
+node إنها فيها الـ value اللي أنا بدور عليه ولا لأ
+
+256
+00:22:53,320 --> 00:22:57,580
+إلا لما أجي أشيلها من الـ stack، وممكن أفحصها أول
+
+257
+00:22:57,580 --> 00:23:02,750
+ما أشوفها. تمام؟ فدول شغلتين يعني two separate
+
+258
+00:23:02,750 --> 00:23:06,170
+orders حسب الـ application اللي عندي. فيه الـ order
+
+259
+00:23:06,170 --> 00:23:08,490
+in which الـ vertices are first encountered، وفيه الـ
+
+260
+00:23:08,490 --> 00:23:11,630
+order in which الـ vertices become dead ends، يعني
+
+261
+00:23:11,630 --> 00:23:16,450
+يطلعوا من الـ stack. يعني التطبيقات .. التطبيقات في
+
+262
+00:23:16,450 --> 00:23:22,450
+اللي هو .. نيجي من الآخر، في .. في الـ AI في عندنا
+
+263
+00:23:22,450 --> 00:23:23,930
+كثير من الـ problems
+
+264
+00:23:28,680 --> 00:23:31,540
+أنا بأتولد، وأنا بحكي حاجات مثال، اللي هو الـ search
+
+265
+00:23:31,540 --> 00:23:35,780
+الـ search هي تطبيق أن أنا عندي الـ nodes، كل node
+
+266
+00:23:35,780 --> 00:23:39,780
+تمثل value، وأنا معي key، وببحث عن الـ key هذا في
+
+267
+00:23:39,780 --> 00:23:43,360
+الـ graph، بدي أشوف هل الـ key تبعي موجود في الـ graph
+
+268
+00:23:43,360 --> 00:23:47,540
+ولا لأ، فلازم ألف على الـ nodes كلهم، فبستخدم الـ DFS
+
+269
+00:23:47,540 --> 00:23:53,020
+للـ traversal، وفي كل node الـ DFS بتدخل عليها بعمل
+
+270
+00:23:53,020 --> 00:23:56,400
+عملية فحص، هل الـ node متطابقة للـ key اللي معي ولا لأ
+
+271
+00:23:57,310 --> 00:24:00,770
+Okay. وهذا الكلام هو أيضاً مستخدم في الحكاية الـ
+
+272
+00:24:00,770 --> 00:24:04,630
+state space problem، أن احنا في الـ .. في تطبيقات
+
+273
+00:24:04,630 --> 00:24:07,930
+الـ AI بيكون فيها  many problems، الـ problem هذه
+
+274
+00:24:07,930 --> 00:24:11,490
+بتبدأ بحالة، والحالة هذه بتفرع منها حالات متعددة،
+
+275
+00:24:11,490 --> 00:24:14,270
+أقول مثلاً لعبة الشطرنج، أو لعبة الـ tic-tac-toe، أو
+
+276
+00:24:14,270 --> 00:24:20,750
+ما إلى ذلك، حالة اللوحة هذه node، إيش كل خطوة ممكن
+
+277
+00:24:20,750 --> 00:24:25,930
+يعملها أي واحد من اللاعبين، هذه حركة ممكن تشكل منها
+
+278
+00:24:25,930 --> 00:24:32,870
+حالة جديدة، لوحة جديدة، اللوحة هذه node، فكل اللوحات أو
+
+279
+00:24:32,870 --> 00:24:35,470
+الـ nodes اللي بتفرع من الـ current node، واللي
+
+280
+00:24:35,470 --> 00:24:39,090
+بتفرع منهم، واللي بتفرع منهم، هذا اسمه state space
+
+281
+00:24:39,090 --> 00:24:43,820
+فضاء الاحتمالات هذا، أو فضاء الحالات، بيكون احنا في
+
+282
+00:24:43,820 --> 00:24:48,880
+اللعبة بنبحث عن الحالة اللي بتحقق الفوز للطرف اللي
+
+283
+00:24:48,880 --> 00:24:53,700
+بيهمنا، فبصير أن أنا بدي أستخدم الـ DFS عشان
+
+284
+00:24:53,700 --> 00:24:57,920
+أعمل traversal، عشان وأنا بعمل traversal ابحث عن
+
+285
+00:24:57,920 --> 00:25:01,700
+الحالة اللي أنا بدي إياها، فهذا أحد التطبيقات. تطبيقات
+
+286
+00:25:01,700 --> 00:25:04,500
+أخرى زي قوية الـ connectivity checking، الـ
+
+287
+00:25:04,500 --> 00:25:08,320
+connectivity، احنا لما قلنا أن الـ graph تعريفه
+
+288
+00:25:08,320 --> 00:25:10,840
+عبارة عن مجموعتين، مجموعة الـ vertices ومجموعة الـ
+
+289
+00:25:10,840 --> 00:25:18,410
+edges، ممكن يطلع معي عاملين graph زي كيف شكلها؟ زي
+
+290
+00:25:18,410 --> 00:25:24,770
+هيك، هذا graph، مع أنه في واقع الأمر هو جزئين، okay؟
+
+291
+00:25:24,770 --> 00:25:31,790
+هذا جزء غير متصل أو منفصل عن الجزء الآخر، ولكن هذا
+
+292
+00:25:31,790 --> 00:25:35,950
+لا ينفي أن أنا قاعد بَأَنظُر للـ graph هو graph، بس
+
+293
+00:25:35,950 --> 00:25:41,700
+مش connected، الـ algorithm هذه ممكن أستخدمها،
+
+294
+00:25:41,700 --> 00:25:45,060
+الـ depth first algorithm، ممكن أستخدمها في استكشاف
+
+295
+00:25:45,060 --> 00:25:53,100
+ما إذا كان عندي هيك، هل .. بدي أسأل، هل هدول
+
+296
+00:25:53,100 --> 00:25:55,920
+بيعبروا عن connected graph ولا disconnected graph؟
+
+297
+00:25:55,920 --> 00:25:59,520
+هل هو من component واحدة، كلهم component واحدة
+
+298
+00:25:59,520 --> 00:26:04,430
+متصلين مع بعض، ولا في multiple components؟ بقدر
+
+299
+00:26:04,430 --> 00:26:06,950
+أستخدم الـ DFS عشان أجوب على
+
+300
+00:26:06,950 --> 00:26:12,710
+السؤال، بإنه كيف بعطيها الـ graph وبخليها تخلص، الآن
+
+301
+00:26:12,710 --> 00:26:20,090
+وصلت لـ E كـ dead end، بمعنى أن كل اللي حطيتهم على الـ
+
+302
+00:26:20,090 --> 00:26:25,060
+stack طلعوا، يعني وصلت لـ E فطلعتها، وطلعت اللي
+
+303
+00:26:25,060 --> 00:26:28,440
+قبلها، واللي قبلها، وطلعت، خلصت، يعني عملت زيارة لكل
+
+304
+00:26:28,440 --> 00:26:34,340
+هدول، لكن لسه الـ V يحتوي على عناصر لم يتم زيارتها
+
+305
+00:26:34,340 --> 00:26:37,860
+لم يتم عمل لها labeling، يمكن هذا معناته أن فيه
+
+306
+00:26:37,860 --> 00:26:45,060
+disconnection، أن الـ graph هذا متكون من إيش؟ من
+
+307
+00:26:45,060 --> 00:26:50,540
+two components. الآن خلي بالك لو أنا بدي أعمل
+
+308
+00:26:50,540 --> 00:26:55,360
+labeling، يعني مثلاً عندي، مش أن أنا أكتشف أن هو
+
+309
+00:26:55,360 --> 00:26:58,480
+disconnected، ولا أنا مطلوب أن أعمل labeling بس للـ
+
+310
+00:26:58,480 --> 00:27:04,480
+graph، وعندي graph زي هيك متكون من جزئين، وصلت لـ E
+
+311
+00:27:04,480 --> 00:27:12,780
+كـ dead end وخلصت، اه، ولسة ولسة في عناصر، اللي هم
+
+312
+00:27:12,780 --> 00:27:18,190
+الـ G، والـ H، والـ I، والـ J، ما وصلت لهمش، بعرف أني ماوصلت
+
+313
+00:27:18,190 --> 00:27:20,490
+لهم لأنهم موجودين لسة هنا، وأنا ما عملتش
+
+314
+00:27:20,490 --> 00:27:23,630
+labeling، إيش أسوي؟ لازم الـ algorithm تستدعي نفسها
+
+315
+00:27:23,630 --> 00:27:28,550
+مرة أخرى على أي واحد من هدول اللي لم يتم زيارتهم
+
+316
+00:27:28,550 --> 00:27:32,430
+طبعاً المرشح الأولاني اللي هو الـ next character بعد
+
+317
+00:27:32,430 --> 00:27:39,250
+الـ E في الترتيب الأبجدي، B, G, E, F, G، خلاص الـ G تمام
+
+318
+00:27:39,250 --> 00:27:44,170
+فبنبدأ من الـ G عشان نستكشف من الـ component الثانية
+
+319
+00:27:44,170 --> 00:27:48,930
+وإذا في لسة كمان component ثالثة بنستمر، فالسؤال
+
+320
+00:27:48,930 --> 00:27:55,530
+الآن يعني النقطة هي دي، افترض أصبحت واضحة، إيش يعني
+
+321
+00:27:55,530 --> 00:28:00,870
+وين كانت الـ .. وين
+
+322
+00:28:00,870 --> 00:28:04,390
+كانت الـ slide. نقطة واحدة واضحة، checking الـ
+
+323
+00:28:04,390 --> 00:28:07,770
+connectivity، معناته أن احنا نعرف إذا كانت الـ
+
+324
+00:28:07,770 --> 00:28:12,830
+graph one component ولا multiple. كذلك الحال لو أنا
+
+325
+00:28:12,830 --> 00:28:15,650
+بدي finding الـ connected components، بدي الـ
+
+326
+00:28:15,650 --> 00:28:20,090
+algorithm تطلع لي وتقول لي هذا الـ subset من الـ nodes
+
+327
+00:28:20,090 --> 00:28:24,450
+يتبع لـ component، لـ component لحال، وهذا الـ subset يتبع
+
+328
+00:28:24,450 --> 00:28:27,970
+لـ component لحال، وهذا الـ subset يتبع لـ component ثالثة، أو
+
+329
+00:28:27,970 --> 00:28:31,230
+إذا في رابعة أو خامسة، إيش بتـ .. كيف ممكن الـ
+
+330
+00:28:31,230 --> 00:28:33,620
+algorithm تقول لي هذا الكلام؟ برضه من خلال الـ
+
+331
+00:28:33,620 --> 00:28:36,700
+labeling، بس هدي المرة مش هتعمل labeling أو marking
+
+332
+00:28:36,700 --> 00:28:41,880
+sequential عليهم كلهم، كأنهم كلهم component واحد، لأ،
+
+333
+00:28:41,880 --> 00:28:50,960
+هتيجي على الـ components مع بعض، هدول تعطيهم label
+
+334
+00:28:50,960 --> 00:28:55,100
+وهدول تعطيهم label آخر مختلف، عملياً مش هتعمل
+
+335
+00:28:55,100 --> 00:29:00,740
+incrementation، يعني هذه هتأخذ one، وكل هدول هيبقى
+
+336
+00:29:00,740 --> 00:29:06,820
+one، مش هتعمل increment لما تجد نفسها أنها خلصت، و
+
+337
+00:29:06,820 --> 00:29:10,940
+لسة فيه ضايلين، وبدها تقفز لأحد الضايلين،
+
+338
+00:29:10,940 --> 00:29:14,540
+تبدأ تعمل increment للـ counter، فهدول بيصيروا
+
+339
+00:29:14,540 --> 00:29:18,400
+بياخدوا two، واللي بعدهم إذا في غيرهم بياخدوا
+
+340
+00:29:18,400 --> 00:29:22,000
+ثلاثة، فبصير واحد، واتنين، وثلاثة هي labels
+
+341
+00:29:22,000 --> 00:29:26,720
+للمجموعات، للـ subsets، مش labels للـ nodes، تمام؟ اه، هي
+
+342
+00:29:26,720 --> 00:29:29,720
+عبارة عن classification صارت، أن هذا هو classified
+
+343
+00:29:29,720 --> 00:29:33,140
+as member of الـ component الأولى، الثاني من الـ
+
+344
+00:29:33,140 --> 00:29:38,700
+component الثالثة، وهيك. النقطة الأخرى اللي هي
+
+345
+00:29:38,700 --> 00:29:43,400
+checking acyclicity، إيش الـ acyclicity؟ في عندك الـ
+
+346
+00:29:43,400 --> 00:29:46,480
+graph ممكن يبقى cyclic أو acyclic. cyclic if فيه
+
+347
+00:29:46,480 --> 00:29:50,480
+cycles، شو يعني cycles؟ يعني أنا عندي .. خليني
+
+348
+00:29:50,480 --> 00:29:58,930
+أرجع لهذا، هذا مثال، هي cycle ولا لأ؟ وهي cycle، و
+
+349
+00:29:58,930 --> 00:30:02,790
+هي cycle. الـ cycle تعريفه إيش؟ إنه يبقى في عندي أي
+
+350
+00:30:02,790 --> 00:30:06,310
+.. الـ graph يبقى فيه أي two nodes، فيه بينهم أكثر
+
+351
+00:30:06,310 --> 00:30:11,810
+من مسار واحد. هذا الـ A والـ E، هي مسار، لكن أيضاً هي
+
+352
+00:30:11,810 --> 00:30:16,770
+مسار آخر، كونه أنه في pair of nodes، حتى لو pair
+
+353
+00:30:16,770 --> 00:30:24,950
+واحد في كل الـ graph، يوجد بينهم two paths، لأن الـ
+
+354
+00:30:24,950 --> 00:30:29,590
+Algorithm هذه بتقدر تساعد في هذه المسألة، الـ DFS
+
+355
+00:30:29,590 --> 00:30:38,010
+الـ DFS بتكتشف الـ cycles. DFS مرة عليكم، الـ DFS احنا
+
+356
+00:30:38,010 --> 00:30:42,430
+بنحكي عن إيش؟ الـ DFS اللي هي Depth First Search
+
+357
+00:30:47,200 --> 00:30:55,460
+كيف أستخدم الـ depth first في استكشاف الـ cycles؟ إذا
+
+358
+00:30:55,460 --> 00:31:02,340
+أنا هنا مثلاً، وأنا هنا وصلت لـ D، ولما وصلت لـ D
+
+359
+00:31:02,340 --> 00:31:07,950
+استكشفت الـ edges، ووجدت أن واحدة منهم .. أنا جاي على
+
+360
+00:31:07,950 --> 00:31:11,350
+الـ D من الـ C، صح؟ أنا جاي على الـ D من الـ C، يعني
+
+361
+00:31:11,350 --> 00:31:15,650
+المباشر، الـ parent اللي هو الـ C، لكن الـ edge هذه
+
+362
+00:31:15,650 --> 00:31:19,670
+بتؤدي لمين؟ لواحد أنا شايفه قبل هيك، اللي هو
+
+363
+00:31:19,670 --> 00:31:23,630
+الـ A، اللي نسميه super parent، إذا هذا direct parent
+
+364
+00:31:23,630 --> 00:31:27,650
+هذا نسميه super parent، فإذا في مثل هذه الـ dotted
+
+365
+00:31:27,650 --> 00:31:33,610
+links هذه، يبقى فيه cycles، صح؟ أنا من الـ A روحت على
+
+366
+00:31:33,610 --> 00:31:35,750
+الـ C، ومن الـ C روحت على الـ D، وفي نفس الوقت فيه من
+
+367
+00:31:35,750 --> 00:31:40,730
+الـ D بيودينا على الـ A، يبقى فيه Cycle. فوجود أن أنا
+
+368
+00:31:40,730 --> 00:31:45,290
+أجي على Node، والـ Node هذه بتصير بـ Edge بتودينا
+
+369
+00:31:45,290 --> 00:31:49,930
+على Node شايفها أنا قبل هيك، وما هيش الـ direct
+
+370
+00:31:49,930 --> 00:31:56,150
+parent، ما هيش الـ direct parent، يبقى هذا Cycle، تمام
+
+371
+00:31:57,320 --> 00:32:01,700
+غير هيك في عندي اللي هو الـ Articulation Points
+
+372
+00:32:01,700 --> 00:32:05,620
+هنا المفصول بيقول، احنا طبعاً حكينا عن أن الـ graph
+
+373
+00:32:05,620 --> 00:32:10,860
+ممكن يبقى one component، أو ممكن يبقى disconnected،
+
+374
+00:32:10,860 --> 00:32:16,680
+متشكل من عدة components، تمام؟ لكن أيضاً ممكن الـ
+
+375
+00:32:16,680 --> 00:32:23,220
+graph يبقى connected، ولكن فيه node واحدة من الـ
+
+376
+00:32:23,220 --> 00:32:28,480
+nodes تبعتة، لو أنا شيلتها، هينقسم لجسمين، أو ربما
+
+377
+00:32:28,480 --> 00:32:32,080
+ثلاثة، يعني هي الـ node هذه عبارة عن التقاء edges
+
+378
+00:32:32,080 --> 00:32:37,060
+تربط ما بين sub components، هذا بنسميه articulated
+
+379
+00:32:37,060 --> 00:32:44,460
+node، articulated vertex. هنا لو شيلت الـ C، بتشوف الـ
+
+380
+00:32:44,460 --> 00:32:50,320
+graph لأ، بيبقى متصل من خلال هنا، ولو شيلت الـ F برضه
+
+381
+00:32:50,320 --> 00:32:54,020
+نفس الشيء، لو شيلت أي node في هذا الـ graph، ما بيـ إيش
+
+382
+00:32:54,020 --> 00:32:57,740
+بيبقى شَكْلِ واحدة، بس لو نفترض أن هذا الـ edge مش
+
+383
+00:32:57,740 --> 00:33:03,240
+موجودة، وشيلت الـ C، لأن هدول صاروا شَكْل، وهدول
+
+384
+00:33:03,240 --> 00:33:09,960
+لهم شَكْل. الآن الـ difference
+
+385
+00:33:09,960 --> 00:33:18,940
+algorithm ممكن نستخدمها، تقول لي هل فيه nodes
+
+386
+00:33:18,940 --> 00:33:26,180
+articulated points اللي تـ .. هدا، والـ articulation
+
+387
+00:33:26,180 --> 00:33:29,760
+point ممكن يكون هذا الـ node، لو شيلتها أنا بينقسم لـ
+
+388
+00:33:29,760 --> 00:33:34,100
+جزئين، أو بينقسم لأكثر، إذا جزئين بيكون الـ graph
+
+389
+00:33:34,100 --> 00:33:38,360
+bi-connected، بي-connected، زي هي تربط ما بين
+
+390
+00:33:38,360 --> 00:33:42,450
+النقطتين. احنا الآن طلعنا على هي كل الـ applications
+
+391
+00:33:42,450 --> 00:33:45,470
+المختلفة، أو أشهر الـ applications للـ depth first
+
+392
+00:33:45,470 --> 00:33:49,370
+search. الواجهة
+
+393
+00:33:49,370 --> 00:33:52,550
+ما بسمحش نط
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kHekn9t-eYA_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kHekn9t-eYA_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..baa096d9cb0e9e4517d188672b01cc0da744dcfc
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kHekn9t-eYA_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4820, "start": 20.96, "end": 48.2, "text": "بسم الله الرحمن الرحيم الصلاة والسلام على أشهر المصريين اليوم إن شاء الله بنكمل أخر موضوع في ال brute force algorithm كنا قبل هي كده طلعنا على اللي هو ال exhaustive search وشوفنا تلاتة أمثلة عليه اللي هم كانوا ال .. ال إيش؟", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 15844, 5551, 8592, 3224, 2288, 9673, 9381, 16572, 9957, 45595, 20498, 36145, 13412, 16606, 21984, 44945, 24793, 1211, 5551, 34740, 3714, 2407, 11242, 45367, 8978, 2423, 47909, 3464, 9284, 9122, 8315, 12174, 36150, 39896, 9122, 3215, 3224, 23032, 1211, 3615, 8315, 15844, 13672, 1829, 31439, 2423, 14687, 488, 3164, 4032, 8592, 38688, 8315, 6055, 1211, 9307, 3660, 5551, 2304, 12984, 37977, 47356, 13672, 1829, 8032, 2304, 25961, 14407, 2423, 4386, 2423, 11933, 1829, 8592, 22807], "avg_logprob": -0.1771977953203432, "compression_ratio": 1.5887445887445888, "no_speech_prob": 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لما يكون عدد ال edges صغير مش كل النوسم ربطة مع بعضها بيبقى أجل فأصبحت ال complexity تبعت ال algorithm DFS", "tokens": [5172, 1829, 3224, 6225, 3215, 3215, 9122, 3555, 13546, 9154, 2423, 8819, 37495, 22653, 16472, 3224, 2423, 9007, 565, 5551, 4117, 2655, 2288, 16472, 15042, 5296, 15042, 7251, 30544, 6225, 3215, 3215, 2423, 8819, 20328, 17082, 13546, 37893, 28242, 28239, 2407, 38251, 12602, 3555, 9566, 3660, 20449, 45030, 11242, 11296, 4724, 1829, 3555, 4587, 7578, 5551, 7435, 1211, 6156, 10721, 9381, 3555, 33753, 2423, 14024, 6055, 3555, 34268, 2423, 9284, 413, 29318], "avg_logprob": -0.3525256849315068, "compression_ratio": 1.4, "no_speech_prob": 7.152557373046875e-07, "words": [{"start": 1255.33, "end": 1256.01, "word": "فيه", "probability": 0.24267578125}, {"start": 1256.01, "end": 1256.69, "word": " عدد", "probability": 0.7379150390625}, {"start": 1256.69, "end": 1256.97, "word": " كبير", "probability": 0.9503580729166666}, {"start": 1256.97, "end": 1257.13, "word": " من", 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"word": " فأصبحت", "probability": 0.91142578125}, {"start": 1266.79, "end": 1266.93, "word": " ال", "probability": 0.880859375}, {"start": 1266.93, "end": 1267.53, "word": " complexity", "probability": 0.93212890625}, {"start": 1267.53, "end": 1268.29, "word": " تبعت", "probability": 0.8753255208333334}, {"start": 1268.29, "end": 1268.57, "word": " ال", "probability": 0.76171875}, {"start": 1268.57, "end": 1269.09, "word": " algorithm", "probability": 0.9306640625}, {"start": 1269.09, "end": 1270.09, "word": " DFS", "probability": 0.809326171875}], "temperature": 1.0}, {"id": 50, "seek": 129676, "start": 1271.52, "end": 1296.76, "text": "أما اذا بستخدم adjacency matrix فهي تبقى big theta of v2 اما اذا بستخدم adjacency list فهي تبقى big theta of عدد ال V زي عدد ال edges طيب الان احنا عمليا اتعرفنا على اللي هو ال algorithm", "tokens": [10721, 15042, 1975, 15730, 4724, 14851, 9778, 40448, 22940, 3020, 8141, 6156, 3224, 1829, 6055, 3555, 4587, 7578, 955, 9725, 295, 371, 17, 1975, 15042, 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1280.66, "word": " big", "probability": 0.701171875}, {"start": 1280.66, "end": 1280.9, "word": " theta", "probability": 0.87109375}, {"start": 1280.9, "end": 1281.22, "word": " of", "probability": 0.9248046875}, {"start": 1281.22, "end": 1281.72, "word": " عدد", "probability": 0.7561848958333334}, {"start": 1281.72, "end": 1281.86, "word": " ال", "probability": 0.61669921875}, {"start": 1281.86, "end": 1282.04, "word": " V", "probability": 0.2415771484375}, {"start": 1282.04, "end": 1282.26, "word": " زي", "probability": 0.552490234375}, {"start": 1282.26, "end": 1282.58, "word": " عدد", "probability": 0.9777018229166666}, {"start": 1282.58, "end": 1282.7, "word": " ال", "probability": 0.912109375}, {"start": 1282.7, "end": 1283.06, "word": " edges", "probability": 0.91796875}, {"start": 1283.06, "end": 1286.5, "word": " طيب", "probability": 0.6754150390625}, {"start": 1286.5, "end": 1288.24, "word": " الان", "probability": 0.5830078125}, {"start": 1288.24, "end": 1289.04, "word": " 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"probability": 0.7705078125}, {"start": 1368.92, "end": 1369.36, "word": " node", "probability": 0.92431640625}, {"start": 1369.36, "end": 1370.96, "word": " إنها", "probability": 0.73779296875}, {"start": 1370.96, "end": 1372.04, "word": " فيها", "probability": 0.974853515625}, {"start": 1372.04, "end": 1372.16, "word": " ال", "probability": 0.9638671875}, {"start": 1372.16, "end": 1372.4, "word": " value", "probability": 0.99267578125}, {"start": 1372.4, "end": 1372.52, "word": " اللي", "probability": 0.9560546875}, {"start": 1372.52, "end": 1372.6, "word": " أنا", "probability": 0.87548828125}, {"start": 1372.6, "end": 1372.8, "word": " بدور", "probability": 0.7958984375}, {"start": 1372.8, "end": 1373.02, "word": " عليه", "probability": 0.92236328125}, {"start": 1373.02, "end": 1373.16, "word": " ولا", "probability": 0.7705078125}, {"start": 1373.16, "end": 1373.32, "word": " لا", "probability": 0.59521484375}, {"start": 1373.32, "end": 1373.56, "word": " إلا", "probability": 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148211, "start": 1457.49, "end": 1482.11, "text": "هذه نوت ايش كل خطوة ممكن يعملها اي واحد من اللاعبين هذه حركة ممكن تشكل منها حالة جديدة لوحة جديدة لوحة هذه نوت فكل اللوحات او ال notes اللي بتفرعه من ال current note و اللي بتفرع منهم و اللي بتفرع منهم هذا اسمه state space فضاء الاحتمالات هذا او فضاء الحالات", "tokens": [3224, 24192, 8717, 35473, 1975, 1829, 8592, 28242, 16490, 9566, 2407, 3660, 3714, 43020, 7251, 25957, 1211, 11296, 1975, 1829, 36764, 24401, 9154, 13672, 45761, 3555, 9957, 29538, 11331, 31747, 3660, 3714, 43020, 6055, 8592, 28820, 9154, 11296, 11331, 6027, 3660, 10874, 16254, 41891, 45164, 5016, 3660, 10874, 16254, 41891, 45164, 5016, 3660, 29538, 8717, 35473, 6156, 28820, 13672, 2407, 5016, 9307, 1975, 2407, 2423, 5570, 13672, 1829, 39894, 5172, 2288, 3615, 3224, 9154, 2423, 2190, 3637, 4032, 13672, 1829, 39894, 5172, 2288, 3615, 9154, 16095, 4032, 13672, 1829, 39894, 5172, 2288, 3615, 9154, 16095, 23758, 24525, 2304, 3224, 1785, 1901, 6156, 11242, 16606, 42963, 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"probability": 0.98095703125}, {"start": 2205.54, "end": 2205.9, "word": " نفس", "probability": 0.996826171875}, {"start": 2205.9, "end": 2206.28, "word": " الأشي", "probability": 0.90087890625}], "temperature": 1.0}, {"id": 88, "seek": 223264, "start": 2207.3, "end": 2232.64, "text": "ماشي الحال؟ أستاذ الخوارزمية تبعت الـPrintfork يعني؟ نعم، لأ هو غالبا أنا مش هاطلب الخوارزمية تبعت الـbread first أو الدب first بس ربما نيجي نسأل أسئلة عن مسائل .. مسائل محددة يعني أعطيلك مسألة و أقولك اعمليلي traversal إيه لها اكتبيلي traversal أو أرسميلي اللي هو زي هيك يعني أرسميلي Q", "tokens": [2304, 33599, 1829, 21542, 6027, 22807, 5551, 14851, 45636, 33962, 2407, 9640, 11622, 2304, 10632, 6055, 3555, 34268, 2423, 39184, 47, 19014, 69, 1284, 37495, 22653, 22807, 8717, 25957, 12399, 5296, 10721, 31439, 32771, 6027, 3555, 995, 41850, 37893, 8032, 41193, 46152, 33962, 2407, 9640, 11622, 2304, 10632, 6055, 3555, 34268, 2423, 39184, 31051, 700, 34051, 2423, 3215, 3555, 700, 4724, 3794, 12602, 3555, 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2208.98, "end": 2209.22, "word": " تبعت", "probability": 0.7228190104166666}, {"start": 2209.22, "end": 2209.72, "word": " الـPrintfork", "probability": 0.26593017578125}, {"start": 2209.72, "end": 2210.18, "word": " يعني؟", "probability": 0.4969075520833333}, {"start": 2210.18, "end": 2211.62, "word": " نعم،", "probability": 0.5811767578125}, {"start": 2211.62, "end": 2213.74, "word": " لأ", "probability": 0.662109375}, {"start": 2213.74, "end": 2213.92, "word": " هو", "probability": 0.890625}, {"start": 2213.92, "end": 2214.36, "word": " غالبا", "probability": 0.9639892578125}, {"start": 2214.36, "end": 2214.54, "word": " أنا", "probability": 0.6630859375}, {"start": 2214.54, "end": 2214.74, "word": " مش", "probability": 0.9853515625}, {"start": 2214.74, "end": 2215.14, "word": " هاطلب", "probability": 0.80615234375}, {"start": 2215.14, "end": 2215.84, "word": " الخوارزمية", "probability": 0.9910481770833334}, {"start": 2215.84, "end": 2216.28, "word": " تبعت", "probability": 0.9358723958333334}, {"start": 2216.28, "end": 2217.12, "word": " الـbread", "probability": 0.5274251302083334}, {"start": 2217.12, "end": 2217.4, "word": " first", "probability": 0.8017578125}, {"start": 2217.4, "end": 2217.6, "word": " أو", "probability": 0.857421875}, {"start": 2217.6, "end": 2217.82, "word": " الدب", "probability": 0.703125}, {"start": 2217.82, "end": 2218.36, "word": " first", "probability": 0.6962890625}, {"start": 2218.36, "end": 2219.36, "word": " بس", "probability": 0.947021484375}, {"start": 2219.36, "end": 2219.78, "word": " ربما", "probability": 0.9847005208333334}, {"start": 2219.78, "end": 2220.28, "word": " نيجي", "probability": 0.97021484375}, {"start": 2220.28, "end": 2220.72, "word": " نسأل", "probability": 0.98291015625}, {"start": 2220.72, "end": 2221.16, "word": " أسئلة", "probability": 0.9727783203125}, {"start": 2221.16, "end": 2221.52, "word": " عن", "probability": 0.97021484375}, {"start": 2221.52, "end": 2222.5, "word": " مسائل", "probability": 0.8175455729166666}, {"start": 2222.5, "end": 2222.5, "word": " ..", "probability": 0.42138671875}, {"start": 2222.5, "end": 2222.8, "word": " مسائل", "probability": 0.9059244791666666}, {"start": 2222.8, "end": 2223.24, "word": " محددة", "probability": 0.9817708333333334}, {"start": 2223.24, "end": 2223.42, "word": " يعني", "probability": 0.8876953125}, {"start": 2223.42, "end": 2223.96, "word": " أعطيلك", "probability": 0.846875}, {"start": 2223.96, "end": 2224.44, "word": " مسألة", "probability": 0.9186197916666666}, {"start": 2224.44, "end": 2225.02, "word": " و", "probability": 0.68701171875}, {"start": 2225.02, "end": 2225.76, "word": " أقولك", "probability": 0.9435221354166666}, {"start": 2225.76, "end": 2226.4, "word": " اعمليلي", "probability": 0.8546142578125}, {"start": 2226.4, "end": 2227.18, "word": " traversal", "probability": 0.7156982421875}, {"start": 2227.18, "end": 2227.36, "word": " إيه", "probability": 0.7554524739583334}, {"start": 2227.36, "end": 2227.64, "word": " لها", "probability": 0.896728515625}, {"start": 2227.64, "end": 2228.28, "word": " اكتبيلي", "probability": 0.6869140625}, {"start": 2228.28, "end": 2228.82, "word": " traversal", "probability": 0.884033203125}, {"start": 2228.82, "end": 2229.06, "word": " أو", "probability": 0.8173828125}, {"start": 2229.06, "end": 2229.64, "word": " أرسميلي", "probability": 0.7890625}, {"start": 2229.64, "end": 2230.38, "word": " اللي", "probability": 0.916259765625}, {"start": 2230.38, "end": 2230.64, "word": " هو", "probability": 0.98291015625}, {"start": 2230.64, "end": 2230.92, "word": " زي", "probability": 0.989990234375}, {"start": 2230.92, "end": 2231.16, "word": " هيك", "probability": 0.97705078125}, {"start": 2231.16, "end": 2231.42, "word": " يعني", "probability": 0.888916015625}, {"start": 2231.42, "end": 2232.3, "word": " أرسميلي", "probability": 0.8255859375}, {"start": 2232.3, "end": 2232.64, "word": " Q", "probability": 0.74267578125}], "temperature": 1.0}, {"id": 89, "seek": 226292, "start": 2233.44, "end": 2262.92, "text": "و الـ Tree BFS أو DFS زي هيك يعني طبيعي طبيعي يعني حيكون في مجلة الأسئلة المقالية اللي هيقولك واضح أو عدد أو كده أو هذا هذا هيك أو صح و غلط يعني حيكون في مجلة بس بالنسبة أقل لأن طبيعة المادة هذه مسائل باعتمد على فهمك لل algorithm فبعطيكي مثلا اذا بقولك باستخدام ال algorithm فلانية حليها تمام؟ يعطيكم العافية", "tokens": [2407, 2423, 39184, 22291, 363, 29318, 34051, 413, 29318, 30767, 1829, 39896, 4117, 37495, 22653, 23032, 21292, 3615, 1829, 23032, 21292, 3615, 1829, 37495, 22653, 11331, 1829, 30544, 8978, 3714, 7435, 37977, 16247, 3794, 19986, 37977, 9673, 4587, 6027, 10632, 13672, 1829, 39896, 39648, 4117, 4032, 46958, 5016, 34051, 6225, 3215, 3215, 34051, 9122, 3215, 3224, 34051, 23758, 23758, 39896, 4117, 34051, 20328, 5016, 4032, 32771, 1211, 9566, 37495, 22653, 11331, 1829, 30544, 8978, 3714, 7435, 37977, 4724, 3794, 20666, 1863, 35457, 3660, 5551, 4587, 1211, 5296, 33456, 23032, 21292, 27884, 9673, 18513, 3660, 29538, 47524, 16373, 1211, 4724, 995, 34268, 2304, 3215, 15844, 6156, 16095, 4117, 24976, 9284, 6156, 3555, 3615, 9566, 1829, 4117, 1829, 50113, 15040, 1975, 15730, 4724, 39648, 4117, 4724, 995, 14851, 9778, 3215, 10943, 2423, 9284, 6156, 1211, 7649, 10632, 11331, 20292, 11296, 46811, 10943, 22807, 37495, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.2088926150494774, "compression_ratio": 1.934065934065934, "no_speech_prob": 1.1682510375976562e-05, "words": [{"start": 2233.44, "end": 2233.8, "word": "و", "probability": 0.85888671875}, {"start": 2233.8, "end": 2234.42, "word": " الـ", "probability": 0.48779296875}, {"start": 2234.42, "end": 2234.72, "word": " Tree", "probability": 0.383056640625}, {"start": 2234.72, "end": 2236.04, "word": " BFS", "probability": 0.6063232421875}, {"start": 2236.04, "end": 2236.24, "word": " أو", "probability": 0.67578125}, {"start": 2236.24, "end": 2236.86, "word": " DFS", "probability": 0.85498046875}, {"start": 2236.86, "end": 2238.0, "word": " زي", "probability": 0.75244140625}, {"start": 2238.0, "end": 2238.22, "word": " هيك", "probability": 0.95166015625}, {"start": 2238.22, "end": 2238.42, "word": " يعني", "probability": 0.72509765625}, {"start": 2238.42, "end": 2239.48, "word": " طبيعي", "probability": 0.8240966796875}, {"start": 2239.48, "end": 2239.74, "word": " طبيعي", "probability": 0.68243408203125}, {"start": 2239.74, "end": 2240.0, "word": " يعني", "probability": 0.8154296875}, {"start": 2240.0, "end": 2240.54, "word": " حيكون", "probability": 0.7639973958333334}, {"start": 2240.54, "end": 2240.7, "word": " في", "probability": 0.9423828125}, {"start": 2240.7, "end": 2241.08, "word": " مجلة", "probability": 0.9622395833333334}, {"start": 2241.08, "end": 2241.64, "word": " الأسئلة", "probability": 0.973388671875}, {"start": 2241.64, "end": 2243.22, "word": " المقالية", "probability": 0.9852294921875}, {"start": 2243.22, "end": 2243.52, "word": " اللي", "probability": 0.917236328125}, {"start": 2243.52, "end": 2243.9, "word": " هيقولك", "probability": 0.8541666666666666}, {"start": 2243.9, "end": 2244.18, "word": " واضح", "probability": 0.9397786458333334}, {"start": 2244.18, "end": 2244.5, "word": " أو", "probability": 0.435546875}, {"start": 2244.5, "end": 2245.18, "word": " عدد", "probability": 0.94384765625}, {"start": 2245.18, "end": 2245.34, "word": " أو", "probability": 0.6796875}, {"start": 2245.34, "end": 2245.66, "word": " كده", "probability": 0.966796875}, {"start": 2245.66, "end": 2245.92, "word": " أو", "probability": 0.8134765625}, {"start": 2245.92, "end": 2246.18, "word": " هذا", "probability": 0.55322265625}, {"start": 2246.18, "end": 2246.4, "word": " هذا", "probability": 0.83447265625}, {"start": 2246.4, "end": 2246.7, "word": " هيك", "probability": 0.92333984375}, {"start": 2246.7, "end": 2246.8, "word": " أو", "probability": 0.487548828125}, {"start": 2246.8, "end": 2247.48, "word": " صح", "probability": 0.992431640625}, {"start": 2247.48, "end": 2247.6, "word": " و", "probability": 0.87890625}, {"start": 2247.6, "end": 2247.9, "word": " غلط", "probability": 0.9505208333333334}, {"start": 2247.9, "end": 2248.08, "word": " يعني", "probability": 0.851806640625}, {"start": 2248.08, "end": 2248.5, "word": " حيكون", "probability": 0.8294270833333334}, {"start": 2248.5, "end": 2248.66, "word": " في", "probability": 0.9755859375}, {"start": 2248.66, "end": 2249.08, "word": " مجلة", "probability": 0.9947916666666666}, {"start": 2249.08, "end": 2249.42, "word": " بس", "probability": 0.966552734375}, {"start": 2249.42, "end": 2250.0, "word": " بالنسبة", "probability": 0.873291015625}, {"start": 2250.0, "end": 2250.44, "word": " أقل", "probability": 0.9007161458333334}, {"start": 2250.44, "end": 2250.76, "word": " لأن", "probability": 0.844970703125}, {"start": 2250.76, "end": 2251.82, "word": " طبيعة", "probability": 0.8502604166666666}, {"start": 2251.82, "end": 2252.48, "word": " المادة", "probability": 0.95654296875}, {"start": 2252.48, "end": 2252.7, "word": " هذه", "probability": 0.70703125}, {"start": 2252.7, "end": 2253.42, "word": " مسائل", "probability": 0.9119466145833334}, {"start": 2253.42, "end": 2254.54, "word": " باعتمد", "probability": 0.773974609375}, {"start": 2254.54, "end": 2254.74, "word": " على", "probability": 0.8759765625}, {"start": 2254.74, "end": 2255.14, "word": " فهمك", "probability": 0.9903971354166666}, {"start": 2255.14, "end": 2255.28, "word": " لل", "probability": 0.9111328125}, {"start": 2255.28, "end": 2255.62, "word": " algorithm", "probability": 0.476318359375}, {"start": 2255.62, "end": 2256.3, "word": " فبعطيكي", "probability": 0.9381975446428571}, {"start": 2256.3, "end": 2256.56, "word": " مثلا", "probability": 0.6192626953125}, {"start": 2256.56, "end": 2256.68, "word": " اذا", "probability": 0.59027099609375}, {"start": 2256.68, "end": 2257.0, "word": " بقولك", "probability": 0.8128255208333334}, {"start": 2257.0, "end": 2257.46, "word": " باستخدام", "probability": 0.9805501302083334}, {"start": 2257.46, "end": 2257.58, "word": " ال", "probability": 0.916015625}, {"start": 2257.58, "end": 2257.78, "word": " algorithm", "probability": 0.88330078125}, {"start": 2257.78, "end": 2258.6, "word": " فلانية", "probability": 0.9166259765625}, {"start": 2258.6, "end": 2259.98, "word": " حليها", "probability": 0.77685546875}, {"start": 2259.98, "end": 2261.9, "word": " تمام؟", "probability": 0.7845865885416666}, {"start": 2261.9, "end": 2262.6, "word": " يعطيكم", "probability": 0.7276611328125}, {"start": 2262.6, "end": 2262.92, "word": " العافية", "probability": 0.7381184895833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2262.970375, "duration_after_vad": 2152.721874999994}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..837141cfb583389df063af09e00dec132b3a690f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_postprocess.srt
@@ -0,0 +1,2084 @@
+1
+00:00:20,670 --> 00:00:22,990
+بسم الله الرحمن الرحيم والصلاة والسلام علي الأشرف
+
+2
+00:00:22,990 --> 00:00:25,990
+والمسلم اليوم إن شاء الله بنكمل في موضوع transform
+
+3
+00:00:25,990 --> 00:00:29,430
+and conquer المحاضرة التالتة بناخد more examples
+
+4
+00:00:29,430 --> 00:00:33,690
+على كيف أنه we can transform ال problem أو ال
+
+5
+00:00:33,690 --> 00:00:38,730
+input بحيث أنه يصير التعامل مع المسألة أبسط فهذه
+
+6
+00:00:38,730 --> 00:00:46,170
+المحاضرة هنشوف ال searching problem في أنواع من
+
+7
+00:00:46,170 --> 00:00:50,030
+اللي هو ال search trees
+
+8
+00:00:51,110 --> 00:00:55,990
+في حاجة اسمة الـ AVAVL3
+
+9
+00:00:55,990 --> 00:01:03,840
+وفي حاجة اسمة الـ 2233هدول النوعين من الـ trees ال
+
+10
+00:01:03,840 --> 00:01:08,100
+algorithms بتتعامل مع ال input و بتحطهم في هذه ال
+
+11
+00:01:08,100 --> 00:01:13,280
+trees و بتحافظ على ال trees هذه بصيغة معينة بحيث
+
+12
+00:01:13,280 --> 00:01:17,580
+انه بعد هيك لو بدنا نعمل search او insert او
+
+13
+00:01:17,580 --> 00:01:21,260
+delete على ال tree بتكون العمل ايه ابسط طالما انه
+
+14
+00:01:21,260 --> 00:01:26,100
+ال algorithm حافظت على ال tree انها AVL او two to
+
+15
+00:01:26,100 --> 00:01:29,300
+three هنشوف الآن ايش يعني AVL treeوايش يعني two to
+
+16
+00:01:29,300 --> 00:01:33,920
+three اتري؟ جابل
+
+17
+00:01:33,920 --> 00:01:38,200
+ال searching بصفة عامة احنا الان نحكي عن search
+
+18
+00:01:38,200 --> 00:01:41,960
+trees بس ال search trees هذه موقعها من العراب ضمن
+
+19
+00:01:41,960 --> 00:01:48,070
+ال search problem عموما فيها ان احنافي أن الـ
+
+20
+00:01:48,070 --> 00:01:53,010
+algorithms بتتعامل مع الـ search problem ممكن تبقى
+
+21
+00:01:53,010 --> 00:01:56,870
+list search أو tree search أو hashing يعني لما
+
+22
+00:01:56,870 --> 00:02:01,210
+تبقى ال algorithm بتتعامل بتخزن البيانات ال data
+
+23
+00:02:01,210 --> 00:02:04,670
+في list فهي list و بتعمل بعدها ك searching عالي
+
+24
+00:02:04,670 --> 00:02:07,810
+على الأنصار في ال list فهي list searching في
+
+25
+00:02:07,810 --> 00:02:12,290
+algorithm بتخزن البيانات في tree فبتعمل tree
+
+26
+00:02:12,290 --> 00:02:18,160
+searchingوفيه algorithm بتعمل hash table وبتبحث
+
+27
+00:02:18,160 --> 00:02:22,160
+فيه ال hash okay فهدول التلات تصنيفات لل searching
+
+28
+00:02:22,160 --> 00:02:25,520
+algorithms عموما في list searching و tree
+
+29
+00:02:25,520 --> 00:02:29,740
+searching و hashing احنا الان نحكي في هذا الإطار
+
+30
+00:02:30,150 --> 00:02:33,790
+يعني الـ AVL و الـ 223 هدول و عبارة عن trees
+
+31
+00:02:33,790 --> 00:02:38,970
+تستخدم في اللي هو الـ Tree Searching Algorithms
+
+32
+00:02:38,970 --> 00:02:41,550
+الـ Tree Searching Algorithms هدول الـ two trees
+
+33
+00:02:41,550 --> 00:02:46,310
+بنقول continuously لازم ال algorithm يتحافظ على ال
+
+34
+00:02:46,310 --> 00:02:50,450
+tree إنها AVL ما تخرجش الشرط الأساسي تبعها و تحافظ
+
+35
+00:02:50,450 --> 00:02:55,350
+على إنها 223 عشان تعمل هذا الكلام دايما
+
+36
+00:02:55,350 --> 00:03:00,240
+continuously بتعملtransformation كل ما بدى ينضف
+
+37
+00:03:00,240 --> 00:03:06,060
+عنصر جديد أو ينحذف عنصر بدى يعاد في موضوع العناصر
+
+38
+00:03:06,060 --> 00:03:08,680
+في الـ Tree بحيث انها تبقى محافظة على الشرطة اللي
+
+39
+00:03:08,680 --> 00:03:15,440
+انا هشوفها للكلام قبل ال AVL و ال 223 ال binary
+
+40
+00:03:15,440 --> 00:03:19,400
+search tree اما احنا بنقول binary كلمة binary يعني
+
+41
+00:03:19,400 --> 00:03:22,660
+اثنائي وين الاثنائية هنا في الموضوع ان ال node
+
+42
+00:03:22,660 --> 00:03:27,780
+الواحدة لها maximum two childrenmaximum من هنا جاي
+
+43
+00:03:27,780 --> 00:03:32,460
+انها binary ال node الواحدة نعتبرها key و بيبقى في
+
+44
+00:03:32,460 --> 00:03:37,740
+عندي القيم ال children اللي على شمال ال node هذه
+
+45
+00:03:37,740 --> 00:03:41,440
+متفرعين من ال left child و عندي ال right child
+
+46
+00:03:41,440 --> 00:03:47,200
+اللي على شمال بيكونوا ال values تبعتهم اصغر من ال
+
+47
+00:03:47,200 --> 00:03:50,140
+value تبع ال root و اللي على اليمين بيبقى اكبر
+
+48
+00:03:50,140 --> 00:03:54,700
+okay ففي هذا انه في ال binary search trees
+
+49
+00:03:58,320 --> 00:04:03,540
+الـ binary search trees لما
+
+50
+00:04:03,540 --> 00:04:08,000
+انا بدي استخدم binary search tree خلي بالك ان احنا
+
+51
+00:04:08,000 --> 00:04:12,020
+ايه ما لسه ماحكيناش عن ال AVL AVL هي نوع من أنواع
+
+52
+00:04:12,020 --> 00:04:13,620
+ال binary فاحنا بنمهد شوية
+
+53
+00:04:16,970 --> 00:04:19,550
+الـ binary search tree لو أنا بدأ استخدمها لتخزين
+
+54
+00:04:19,550 --> 00:04:25,250
+مثل هذه البيانات أول إشي بدي يجي الخمسة بنعملها
+
+55
+00:04:25,250 --> 00:04:28,710
+node بنعملها node لحالها بعد كده بدي تيجي التلاتة
+
+56
+00:04:28,710 --> 00:04:32,450
+فإيش بناء على مفهوم ال binary search tree بدي تيجي
+
+57
+00:04:32,450 --> 00:04:35,870
+التلاتة على الشمال لأنها أزرع بعد كده تدخل الواحد
+
+58
+00:04:35,870 --> 00:04:39,570
+بدي تيجي الواحد على الشمال بعد كده تيجي من العشرة
+
+59
+00:04:39,570 --> 00:04:43,490
+العشرة أكبر بتيجي على اليمين بعدين الأتناش برضه
+
+60
+00:04:43,490 --> 00:04:49,210
+بتيجي على اليمينبعدين السابعة بتيجي اكبر من الخمسة
+
+61
+00:04:49,210 --> 00:04:55,610
+اصغر من العشرة بتيجي هنا وبعدين التسعة بتيجي اصغر
+
+62
+00:04:55,610 --> 00:05:01,210
+على يمين السابعة بعدين ايش خلاص تمام ال
+
+63
+00:05:01,210 --> 00:05:04,290
+arrangement
+
+64
+00:05:04,290 --> 00:05:09,070
+هذه بتساعد في ال search انه لما انا عند قيمة بتبحث
+
+65
+00:05:09,070 --> 00:05:14,400
+عنها بتطلع يمين او شمال حسب ال valueالـ search دا
+
+66
+00:05:14,400 --> 00:05:17,380
+قد يكون الـ search لإيجاد العنصر أو قد يكون الـ
+
+67
+00:05:17,380 --> 00:05:20,780
+search لـ delete العنصر يعني ممكن أكون أنا ببحث عن
+
+68
+00:05:20,780 --> 00:05:26,000
+السبعة عشان بدي أشيلها فببحث صح بعد ما لاجيها بروح
+
+69
+00:05:26,000 --> 00:05:29,240
+بشيلها إذا شيلتها مانتوا بدي أعيدوا تربيط ال
+
+70
+00:05:29,240 --> 00:05:35,660
+pointers okay يعني قصد أقول إنه عملية الـ searchهي
+
+71
+00:05:35,660 --> 00:05:39,200
+قد تكون عملية مطلوبة في حد ذاته أو قد تكون مقدمة
+
+72
+00:05:39,200 --> 00:05:44,440
+لعملية أخرى Delete أو .. أو ربما Insert بدي أضيف
+
+73
+00:05:44,440 --> 00:05:47,420
+.. فبدي أعمل sash عشان أشوف وين المكان اللي بدي
+
+74
+00:05:47,420 --> 00:05:51,340
+أضيفه طيب، الآن نحكي عن الـ AVL الـ AVL هي عبارة
+
+75
+00:05:51,340 --> 00:05:57,040
+عن binary search tree بس بتاعة شرط أساسي وهو إنه
+
+76
+00:05:57,040 --> 00:06:04,320
+في حاجة اسم الـ Balance Factor نعم الاسم؟
+
+77
+00:06:04,840 --> 00:06:12,880
+AVL كان فيه سؤال ولا .. تمام الاسم ال AVL جاي من
+
+78
+00:06:12,880 --> 00:06:18,480
+اسم الأشخاص اللي هم عملوه وصمموه ال balance factor
+
+79
+00:06:18,480 --> 00:06:24,820
+هو عبارة عن الفرق ما بين ارتفاع ال subtree الشمال
+
+80
+00:06:24,820 --> 00:06:28,850
+يعني عند أي nodeالـ balance factor عند أي node هو
+
+81
+00:06:28,850 --> 00:06:35,490
+الفرق ما بين ارتفاع الـ sub tree الشمال واليامين
+
+82
+00:06:35,490 --> 00:06:41,050
+يعني مثلا هنا ال sub tree الشمال كداش ارتفاعها ايش
+
+83
+00:06:41,050 --> 00:06:47,770
+عن ارتفاعها يعني اكم level كداش اتنين وهذه اكم
+
+84
+00:06:47,770 --> 00:06:48,090
+level
+
+85
+00:06:52,200 --> 00:06:56,700
+تلاتة تمام اتنين ناقص تلاتة ناقص واحد هذا ال
+
+86
+00:06:56,700 --> 00:07:01,100
+balance factor الان هنا لو انا بدى احسب لل node
+
+87
+00:07:01,100 --> 00:07:05,260
+هذه ال balance factor تبعها واحد ناقص زيرو واحد
+
+88
+00:07:05,260 --> 00:07:14,140
+هذه ال balance factor تبعها زيرو هذه سالب واحد هذه
+
+89
+00:07:14,140 --> 00:07:20,520
+هذه عشرة اه استنى شوية هذه اتناشرzero صح وهذه تسعة
+
+90
+00:07:20,520 --> 00:07:34,440
+zero صح هذه الآن العشرة نقص
+
+91
+00:07:34,440 --> 00:07:40,260
+واحد لا أخبرك أنك لا تخرج من ال zero هذا لا نخرج
+
+92
+00:07:40,260 --> 00:07:47,780
+من ال bands factors نخرج من الارتفاع واحد تمامالأن
+
+93
+00:07:47,780 --> 00:07:52,740
+الـ AVL Tree هي الـ Tree Binarity شرطها إن الـ
+
+94
+00:07:52,740 --> 00:07:57,420
+Balance Factor تبع أي نود لا يتجاوز الـ plus أو
+
+95
+00:07:57,420 --> 00:08:02,420
+الـ minus one يعني ممكن يبقى Zero ممكن يبقى ميل
+
+96
+00:08:02,420 --> 00:08:05,780
+على الشمال بواحد ميل على اليمين بواحد إنما مايبعدش
+
+97
+00:08:05,780 --> 00:08:09,920
+عنيك حسب
+
+98
+00:08:09,920 --> 00:08:14,000
+ارتفاع الـ Sub Tree مش قيمة حتى بارتفاع الجناح
+
+99
+00:08:14,000 --> 00:08:19,840
+اليمين والجناح الشمال صح؟اسمه Balance Factor بدنا
+
+100
+00:08:19,840 --> 00:08:22,900
+ياها تبجى Balanced للـ Tree إيش يعني Balanced؟ مش
+
+101
+00:08:22,900 --> 00:08:27,640
+بالضرورة .. مش بالظبط Zero Zero يعني نفس الارتفاع
+
+102
+00:08:27,640 --> 00:08:30,960
+على اليمين هو نفسه الارتفاع الشمالي لأ متسامحين
+
+103
+00:08:30,960 --> 00:08:37,320
+بمقدار واحد إنه تبجى هذه أو هذه أطول من الأخرى بـ
+
+104
+00:08:37,320 --> 00:08:41,640
+one ما تبجيش باتنين أو بكتر من واحد okay فالآن
+
+105
+00:08:41,640 --> 00:08:46,990
+احناعشان احافظ على هذا الكلام معناه ذلك لتري لو
+
+106
+00:08:46,990 --> 00:08:53,130
+انا بعديك اجانب مثلا ال value 11 اين
+
+107
+00:08:53,130 --> 00:09:03,630
+بحطه؟ بحطه هنا لأ بلاش طيب ماشي 11 هذه شويه مسكرة
+
+108
+00:09:03,630 --> 00:09:11,310
+بدي احط ال .. بدي احط خليني اقول احط ايش اكبر من
+
+109
+00:09:11,310 --> 00:09:20,620
+ال 12الـ 13 ده هحط الـ 20 ده هحط مثلا .. اقول هنا
+
+110
+00:09:20,620 --> 00:09:26,600
+الـ 15 و هنا الـ 20 بدت الـ tree تصبح not balanced
+
+111
+00:09:26,600 --> 00:09:33,200
+.. imbalanced فال algorithm اللي بتستخدم AVL tree
+
+112
+00:09:33,200 --> 00:09:37,600
+لازم باستمرار كل ما بديهيجي عنصر جديد تفحص ال
+
+113
+00:09:37,600 --> 00:09:44,810
+balanceوإذا بده يفلت تعمل نوع من التغيير على وضعية
+
+114
+00:09:44,810 --> 00:09:49,970
+ال nodes عشان تحافظ على ال balance التغيير اللي
+
+115
+00:09:49,970 --> 00:09:53,490
+بدي أحصل هو عادة نعمله ال rotation
+
+116
+00:10:01,440 --> 00:10:05,520
+بنعمل rotation أولا هذا ال example اللي هنا بيقول
+
+117
+00:10:05,520 --> 00:10:08,980
+لي إنه هذه is an AVL tree يعني أنا ممكن أجي أسألك
+
+118
+00:10:08,980 --> 00:10:15,900
+أقولك هذه ال tree AVL ولا لأ هذه AVL أه ليش لأنه
+
+119
+00:10:15,900 --> 00:10:19,340
+طلع هذا ال balance factors تبقى بكل ال nodes لا
+
+120
+00:10:19,340 --> 00:10:23,600
+تتجاوز ال absolute value تبع الواحد لا تتجاوز plus
+
+121
+00:10:23,600 --> 00:10:29,420
+و minus one بينما هذه ال tree مش AVL ليش لأنه عند
+
+122
+00:10:29,420 --> 00:10:37,190
+هذه ال rootأه اتجاوز okay الآن بدنا نحكي في إيش في
+
+123
+00:10:37,190 --> 00:10:41,010
+إيش اللي بدها تعملوا ال algorithm عشان تحافظ علي
+
+124
+00:10:41,010 --> 00:10:46,470
+ال tree AVL تحافظ عليها AVL tree في عملية أساسية
+
+125
+00:10:46,470 --> 00:10:48,650
+اللي هي عملية ال rotation بس ال rotation هذه في
+
+126
+00:10:48,650 --> 00:10:52,410
+منها أربع أنواع okay نعم
+
+127
+00:10:54,990 --> 00:11:00,510
+أنواع الـ rotations هما أربعة بس أنا بدي أجسمهم
+
+128
+00:11:00,510 --> 00:11:05,170
+إلى جسمين في ال right و ال left هاي نوعينو في ال
+
+129
+00:11:05,170 --> 00:11:09,710
+right left و ال left right هاي النوعين التانية
+
+130
+00:11:09,710 --> 00:11:13,670
+حاطيتهم مع بعض هيك لإن كل واحد منهم عكس التاني
+
+131
+00:11:13,670 --> 00:11:17,170
+يعني ال left و ال right عكس بعض ال RL و ال LR عكس
+
+132
+00:11:17,170 --> 00:11:21,370
+بعض لما نفهم واحد تلقاه نفهم التاني شو يعني الأول
+
+133
+00:11:21,370 --> 00:11:24,750
+يعني هذا ال right ال right rotation لما يكون في
+
+134
+00:11:24,750 --> 00:11:31,680
+عنديوضعية زي هيك شوفتوا الوضعية اللي هنا هذه عبارة
+
+135
+00:11:31,680 --> 00:11:38,140
+عن انه ال tree قاعدة منحازة إلى ناحية الأمين أو
+
+136
+00:11:38,140 --> 00:11:44,880
+ميلة على الشق اليمين الشق اليمين تبعها أطول بيزداد
+
+137
+00:11:44,880 --> 00:11:50,500
+في الطول أكتر بكتير من الشمال هنا الشق الشمال
+
+138
+00:11:50,500 --> 00:11:57,290
+واليمين مافيش شيءتمام هذا عامل imbalance عامل عدم
+
+139
+00:11:57,290 --> 00:12:02,730
+توازن هي على ال node هي دي okay في عندي ال balance
+
+140
+00:12:02,730 --> 00:12:07,440
+factor اتنينمن ناحية انها binary tree ولا لا هي
+
+141
+00:12:07,440 --> 00:12:10,440
+binary ال node الواحدة عدد ال children تبعها لا
+
+142
+00:12:10,440 --> 00:12:16,080
+يتجاوز ال two هي binary لكنها مش AVL لأنه ال
+
+143
+00:12:16,080 --> 00:12:19,960
+balance factor تبع التلاتة يسوى اتنين فانا عشان
+
+144
+00:12:19,960 --> 00:12:25,600
+اعدلها بقدر اعمل rotation انهي ال rotation بقدر
+
+145
+00:12:25,600 --> 00:12:29,060
+اعمل right rotation ال right rotation تخيلي انه
+
+146
+00:12:29,060 --> 00:12:33,400
+بعمل زي هيك right rotationالـ right rotation
+
+147
+00:12:33,400 --> 00:12:38,920
+بستخدمه في الوضعية هذه ان يكون في تلاتة nodes
+
+148
+00:12:38,920 --> 00:12:47,460
+جايين ميلين لليمين والعكس منهم لما يكونوا ميلين
+
+149
+00:12:47,460 --> 00:12:51,900
+لشمال زي هيكة وحينين تبقى اعمل left rotation خلينا
+
+150
+00:12:51,900 --> 00:12:53,800
+نشوف في ال right rotation ايش اللي بيحصل في ال
+
+151
+00:12:53,800 --> 00:12:58,080
+right rotation اسمه rotation لأنه انا برفع هدولة
+
+152
+00:12:58,080 --> 00:13:05,160
+هيك و بعدينبعمل لل node اللي فوق بنزلها فاللي بحصل
+
+153
+00:13:05,160 --> 00:13:11,300
+أنه الواحد هتيجي هنا الواحد هتيجي هنا الاتنين
+
+154
+00:13:11,300 --> 00:13:15,860
+هتطلع فوق صح التلاتة اللي هي طارت في الهواء اللي
+
+155
+00:13:15,860 --> 00:13:20,160
+قادمة تنزل okay
+
+156
+00:13:20,160 --> 00:13:27,040
+فصار عندي هاي الواحد التانين في النص والواحد
+
+157
+00:13:27,040 --> 00:13:30,720
+أشمالها والتلاتة أعلىيعني الـ balance factor تبع
+
+158
+00:13:30,720 --> 00:13:36,000
+ال nodes الان هيتوا zeros هنا فيش .. فيش .. يوجد
+
+159
+00:13:36,000 --> 00:13:40,060
+zero فيش يمين فيش شمال zero هنا هذه فيها واحد يمين
+
+160
+00:13:40,060 --> 00:13:43,280
+وواحد شمالي بال difference zero صح فصارت ايه اش
+
+161
+00:13:43,280 --> 00:13:48,280
+AVL هذا اسمه ال right rotation لو بدى اعمل left
+
+162
+00:13:48,280 --> 00:13:52,820
+rotation عندي وضعية زي هيكة لو بدى اعمل left
+
+163
+00:13:52,820 --> 00:13:58,770
+rotation هروح ايه اش اطلع هذا لفوق هتيجيبقولي مثلا
+
+164
+00:13:58,770 --> 00:14:03,110
+هاي الـ 12 و هاي الـ 15 و هاي الـ 20 هتيجي الـ 15
+
+165
+00:14:03,110 --> 00:14:07,270
+هي في النص وهذا أصلا الطبيعي يعني أنا لما ببص
+
+166
+00:14:07,270 --> 00:14:14,590
+عليهم 12 و 15 و 20 مين القيمة اللي في الوسط مين
+
+167
+00:14:14,590 --> 00:14:17,470
+القيمة المتوسطة ما بين التلاتة اللي هي الـ 15 فهي
+
+168
+00:14:17,470 --> 00:14:21,650
+الطبيعي هتيجي root وعشمالها اللي هدا 12 وعلى مينها
+
+169
+00:14:21,650 --> 00:14:26,890
+الـ 20 okay الان
+
+170
+00:14:28,970 --> 00:14:32,330
+هذا الار ماحكيناش فيه الان احنا حكينا في ال right
+
+171
+00:14:32,330 --> 00:14:38,290
+وعكسه اللي هو ال left الاتنين التانين اللي هو RL و
+
+172
+00:14:38,290 --> 00:14:41,770
+LR خليني أطلع في ال LR في الأول في ال LR بيبقى
+
+173
+00:14:41,770 --> 00:14:48,470
+عندي الوضيع جاي زي هيك okay بستخدم ال LR لما تبقى
+
+174
+00:14:48,470 --> 00:14:52,230
+وضعية ال notes جاي زي هيك بيبقى في عندي imbalance
+
+175
+00:14:52,230 --> 00:14:59,140
+imbalance ليش؟ لأنهالـ three اللي على الشمال و الـ
+
+176
+00:14:59,140 --> 00:15:02,400
+three اللي على اليمين هذي zero وهذه two levels
+
+177
+00:15:02,400 --> 00:15:07,640
+اتنين نقص واقع صفر اتنين okay بس مش اتنين لأنه
+
+178
+00:15:07,640 --> 00:15:10,460
+كلهم منحزين على الشمال لأ اتنين لأنه في عندي هنا
+
+179
+00:15:10,460 --> 00:15:14,100
+شمال و هذا الشمال له يمين مش حاجة جديدة المهم انه
+
+180
+00:15:14,100 --> 00:15:17,460
+كيف انا بدي اعالج الأمر هذا بعالجه بال left right
+
+181
+00:15:17,460 --> 00:15:20,960
+ال left right يعني بطبق left في الأول و بعدين بطبق
+
+182
+00:15:20,960 --> 00:15:24,990
+rightو اين بطبق ال lift؟ بطبق ال lift على الشق
+
+183
+00:15:24,990 --> 00:15:30,150
+المائل على الشمال تذكروا دائما بعمل left rotation
+
+184
+00:15:30,150 --> 00:15:33,170
+لما يبقى فيا اندي ميل left بعمل right rotation لما
+
+185
+00:15:33,170 --> 00:15:38,930
+يبقى فيا اندي ميل right فهذا الشق مائل left وهذا
+
+186
+00:15:38,930 --> 00:15:41,770
+الشق مائل right بعمل ال left rotation على هذا الشق
+
+187
+00:15:41,770 --> 00:15:47,730
+لما نعمل left rotation لهدوله ايش اللي بصير؟بتيجي
+
+188
+00:15:47,730 --> 00:15:51,490
+الاتنين هذه بتطلع فوق وبتيجي الاتنين هنا وبعدين
+
+189
+00:15:51,490 --> 00:15:59,730
+الواحد بتنزل لتحت صاروا ايش؟ تلاتة اتنين واحد واضح
+
+190
+00:15:59,730 --> 00:16:05,430
+كيف هذه نتجت عن هذه بفعل ال left rotation على هذه
+
+191
+00:16:05,430 --> 00:16:10,810
+ال edge هذه ال edge بسي اللي طبقت عليها left
+
+192
+00:16:10,810 --> 00:16:13,970
+rotation لما عملت left rotation طلعت الاتنين ونزلت
+
+193
+00:16:13,970 --> 00:16:18,390
+الواحد okayالـ answer عند الوضعية هادى اللى هى
+
+194
+00:16:18,390 --> 00:16:23,930
+هادى بقدر اعمل right rotation للكل بتطلع الاتنين
+
+195
+00:16:23,930 --> 00:16:29,930
+فوق و الواحد ع الشمال و التلاتة على اليمين okay
+
+196
+00:16:29,930 --> 00:16:34,190
+left rotate left right يعني اول شي left و بعدين
+
+197
+00:16:34,190 --> 00:16:40,950
+rightوالعكس منه لو عندي العكس منه اللي هو ال RL ال
+
+198
+00:16:40,950 --> 00:16:45,450
+RL بتكون وضعية ال nodes زي العكس هذه بتطبق عليها
+
+199
+00:16:45,450 --> 00:16:48,810
+ال left and right هذه بتطبق عليها ال RL بروح بعمل
+
+200
+00:16:48,810 --> 00:16:52,710
+ال right في الأول على main على ال edge هذه بتطلع
+
+201
+00:16:52,710 --> 00:16:56,150
+هذه ال node فوق وهذه ال node اللي كانت في الأول
+
+202
+00:16:56,150 --> 00:17:02,910
+بتنزل تحت صار عايش عندي diagonal على الشمال بروح
+
+203
+00:17:02,910 --> 00:17:07,270
+بعمل left rotationبعمل left بعد ما عملت ال R بعمل
+
+204
+00:17:07,270 --> 00:17:11,390
+ال left الآن تطلع هد فوق وهد النود بتيجي الشمال
+
+205
+00:17:11,390 --> 00:17:18,210
+وهد بتيجي يمين okay هد
+
+206
+00:17:18,210 --> 00:17:24,550
+في النهاية هي مجمول الأربع rotation operations هي
+
+207
+00:17:24,550 --> 00:17:29,530
+اللي بتستخدمهم ال algorithm في إعادة ضبط ال tree
+
+208
+00:17:29,530 --> 00:17:35,060
+عشان تحافظ على إنها AVL AVL balancedمتى بتعمل هذا
+
+209
+00:17:35,060 --> 00:17:42,040
+الكلام؟ كل ما يدخل تطرق عملية إضافة أو حذف على ال
+
+210
+00:17:42,040 --> 00:17:47,300
+tree تتسبب في الإخلال بال balance عملية إضافة،
+
+211
+00:17:47,300 --> 00:17:52,760
+node جديدة أو حذف ل node موجودة تتسبب في الإخلال
+
+212
+00:17:52,760 --> 00:17:57,220
+بال balance بدها تروح ال algorithm تعمل ال
+
+213
+00:17:57,220 --> 00:17:58,280
+rotations هذه
+
+214
+00:18:01,990 --> 00:18:06,670
+في .. في عندي general case اللي هي انه احنا لما
+
+215
+00:18:06,670 --> 00:18:14,690
+حكينا تويه كانوا notes لحالهم طب ماذا لو انه ال
+
+216
+00:18:14,690 --> 00:18:19,470
+balance ال imbalance هذا ال imbalance اللي هنا جاي
+
+217
+00:18:19,470 --> 00:18:23,870
+بسبب هدول التلاتة بس okay هدول التلاتة في اشي مربط
+
+218
+00:18:23,870 --> 00:18:29,730
+مشانشال معاهم يعني هذه هذه
+
+219
+00:18:29,730 --> 00:18:30,450
+هيك
+
+220
+00:18:32,850 --> 00:18:40,230
+هدولة هادي في عندى هنا اشي متفرق منها فانا لما بدى
+
+221
+00:18:40,230 --> 00:18:44,170
+اعمل rotation للتلاتة هدولة بدى اشوف ايش وضاية
+
+222
+00:18:44,170 --> 00:18:51,030
+المربطين معاهم يعني باختصار اللى هو انه هيعدي
+
+223
+00:18:51,030 --> 00:18:59,010
+الحالات ال general case انه انا بكون في عندى هادي
+
+224
+00:18:59,010 --> 00:19:05,320
+و هادي و كمان جولي هادي عاملينفي انبالاس على ال
+
+225
+00:19:05,320 --> 00:19:11,500
+node هذه انه والله على اليمين الارتفاعأقصر من
+
+226
+00:19:11,500 --> 00:19:17,020
+الارتفاع اللي على الشمال هذا اطول من هذا الجهة او
+
+227
+00:19:17,020 --> 00:19:20,600
+هذا الجناح اطول من هذا الجناح بيه على الأقل اتنين
+
+228
+00:19:20,600 --> 00:19:25,020
+ممكن اكتر الان ايش ده ساوي بدي ا .. بدي اعدل الوضع
+
+229
+00:19:25,020 --> 00:19:28,660
+هذه بالاش بال right rotation single right rotation
+
+230
+00:19:28,660 --> 00:19:31,740
+ال single right rotation دي ترتب عليه ايش ان ال C
+
+231
+00:19:31,740 --> 00:19:37,540
+هذه بتصير هي ال route صح عشان انا عندي هايودعم الـ
+
+232
+00:19:37,540 --> 00:19:40,100
+Right Rotation الـ C بدأ تطلع فوق الوسط هذا الـ
+
+233
+00:19:40,100 --> 00:19:44,160
+Center بدأ تطلع فوق والـ R بدأ تيجي تحت واللي على
+
+234
+00:19:44,160 --> 00:19:49,280
+الشمال بده يضل على الشمال صح؟ اه طيب الآن هذا اللي
+
+235
+00:19:49,280 --> 00:19:51,800
+على الشمال اللي انا افترض ان في عندي انا sub tree
+
+236
+00:19:51,800 --> 00:19:57,100
+هنا و sub tree هنا و sub tree هنا هي ال sub tree
+
+237
+00:19:57,100 --> 00:20:02,820
+T1, T2, T3 شو اللي هيحصل؟ هذه ال tree T3 اللي هي
+
+238
+00:20:02,820 --> 00:20:09,750
+على يمين الـ R بده تضل معاهايعني ال R نزلت ل تري
+
+239
+00:20:09,750 --> 00:20:15,490
+T3 بالاصل هي على يمين ال R بتنزل معاها على يمينها
+
+240
+00:20:15,490 --> 00:20:20,790
+و ل تري هذه T1 اللي على شمال ال C بالاصل بتضلها
+
+241
+00:20:20,790 --> 00:20:25,910
+برضه على شمال ال C في
+
+242
+00:20:25,910 --> 00:20:30,710
+ال result بس T2 الآن إيش بيصير فيها؟T2 كانت على
+
+243
+00:20:30,710 --> 00:20:34,990
+يمين الـC لأن الـC على يمينها في هذا النوت ماقدرش
+
+244
+00:20:34,990 --> 00:20:41,190
+أحط T2 برضه على يمين الـC و اللي صارت إيهاش مش
+
+245
+00:20:41,190 --> 00:20:49,870
+binary بس وكانها الطبيعي T2 لأنها T2 أكبر من C و
+
+246
+00:20:49,870 --> 00:20:55,130
+في نفس الوقت أصغر من R فمكانها الطبيعي نتيجي على
+
+247
+00:20:55,130 --> 00:20:55,810
+شمال الـR
+
+248
+00:20:58,990 --> 00:21:04,410
+فالـ T2 هذه بعد عملية الـ rotation لازم تنتجل كلها
+
+249
+00:21:04,410 --> 00:21:09,410
+الـ sub-tree هذه كلها sub-tree هي point واحد بفكه
+
+250
+00:21:09,410 --> 00:21:15,250
+من هنا و بحطه على شمال
+
+251
+00:21:15,250 --> 00:21:20,690
+الـ R و
+
+252
+00:21:20,690 --> 00:21:24,980
+نفس الاشي لو ده عمل left rotationهتبقى بضه في T2
+
+253
+00:21:24,980 --> 00:21:30,280
+في النص بده ارحلها بدل ما هي تاب على الـC على يمين
+
+254
+00:21:30,280 --> 00:21:35,700
+الـC للـC وعلى شمال الـR الان لو عندي بدي اعمل
+
+255
+00:21:35,700 --> 00:21:40,440
+double rotation LR او RL شايف كيف ممكن يبقى عندي
+
+256
+00:21:40,440 --> 00:21:47,420
+حاجة زي هيك double
+
+257
+00:21:47,420 --> 00:21:51,840
+rotation الخلال جاي بكون بسبب هذا
+
+258
+00:21:56,160 --> 00:22:03,900
+فانا هعمل left rotation أطلع ال G لفوق هاي ال R
+
+259
+00:22:03,900 --> 00:22:09,540
+وهي ال C وهي ال G قولولي كيف أسوي ال R rotation
+
+260
+00:22:09,540 --> 00:22:15,320
+على هدول التلت مراكز أو التلت محاور بتعمل left مش
+
+261
+00:22:15,320 --> 00:22:18,420
+بنقول ال R يعني ال left في الأول على مين على هذه
+
+262
+00:22:18,420 --> 00:22:23,420
+الميلي على الشمال فإيش بينتج عنه أنه تطلع ال G فوق
+
+263
+00:22:24,110 --> 00:22:29,430
+الـ C بتنزل تحت صح بيصير عند الوضع هذه اللي اعمل
+
+264
+00:22:29,430 --> 00:22:34,050
+عليها مين ال right rotation بيصير ال G لان فوق و
+
+265
+00:22:34,050 --> 00:22:39,530
+ال R على اليمين و ال C على الشمال okay هذا الوضع
+
+266
+00:22:39,530 --> 00:22:45,090
+صح الان ماذا عن اللي هو sub trees T1,T2,T3,T4 T1
+
+267
+00:22:45,090 --> 00:22:49,820
+اللي على شمال ال C هتضلها على شمال ال CT4 اللي على
+
+268
+00:22:49,820 --> 00:22:54,600
+يمين الـ R هتظلها على يمين الـ R لأن ماذا عن هذولا
+
+269
+00:22:54,600 --> 00:22:57,960
+التنين هذولا التنين فقدوا ال parent تبعهم لأن ال
+
+270
+00:22:57,960 --> 00:23:02,280
+parent تبعهم صار ال root و صار ال children تبعهم و
+
+271
+00:23:02,280 --> 00:23:08,720
+هم ال C و ال R وين بدهم يروحوا بسيطة بسيطة هذا ال
+
+272
+00:23:08,720 --> 00:23:16,360
+T2 جاي على يمين ال C صح بيروح على يمين ال C هل في
+
+273
+00:23:16,360 --> 00:23:23,780
+وسع على يمين ال Cفي الجديدة نعم بروح عليه وهذا T3
+
+274
+00:23:23,780 --> 00:23:31,800
+جاي أصلا أقل من R هل في وسع أحطه على شمال الـ R
+
+275
+00:23:31,800 --> 00:23:39,760
+نعم مظبوط فهذا ال general case انه بعد ما أعمل ال
+
+276
+00:23:39,760 --> 00:23:44,280
+rotation بدي أعيد نقل أو بدي أنجل ال sub trees هذه
+
+277
+00:23:44,280 --> 00:23:54,960
+هيبقى كل واحدة مكانهاإلها مكان متاح واضح
+
+278
+00:23:54,960 --> 00:23:58,680
+الـ T2 ليش مسموحها تنتجل على يمين الـ C لأن هي
+
+279
+00:23:58,680 --> 00:24:03,660
+أصلا أصلا وين جاية مش جاية في ال sub في G اللي هي
+
+280
+00:24:03,660 --> 00:24:08,500
+يمين الـ C فلو أنا شيلتها عن الـ G وحطتها مباشرة
+
+281
+00:24:08,500 --> 00:24:14,000
+على الـ C مافرجش okay
+
+282
+00:24:14,000 --> 00:24:21,430
+طيبنشوف هذا الكلام بشكل عملي في المثال هذا المطلوب
+
+283
+00:24:21,430 --> 00:24:25,870
+هنا الآن أنه نبني الـ Tree step by step بداية من
+
+284
+00:24:25,870 --> 00:24:30,970
+أول node بدأ تيجي اللي هي الخمسة أجه الخمسة بعدين
+
+285
+00:24:30,970 --> 00:24:34,490
+تيجي الستة التمانية كل node بدأ تيجي كل value بدأ
+
+286
+00:24:34,490 --> 00:24:39,030
+يجي بدأ أعمله node وأشبكه في الـ Tree بس أحافظ على
+
+287
+00:24:39,030 --> 00:24:42,710
+ال balance الخمسة هذه الـ Tree كلها مجرد الخمسة
+
+288
+00:24:42,710 --> 00:24:47,170
+الآن بدأ تيجيالـ 6 من الطبيعية هيتيجي على يمين
+
+289
+00:24:47,170 --> 00:24:51,890
+حطناها هل في أي مشكلة؟ لأ الـ Balance هنا Zero
+
+290
+00:24:51,890 --> 00:24:58,850
+وهنا صار نقص واحد مافيش اي مشكلة صح؟ لأن اني
+
+291
+00:24:58,850 --> 00:25:04,150
+بنتيجي التمانية التمانية لما بنتيجي بنتيجي هنا صح؟
+
+292
+00:25:04,150 --> 00:25:08,130
+لكن هذا الأمر الآن هنا Zero هنا طبعا هذه نقص واحد
+
+293
+00:25:08,130 --> 00:25:12,290
+هنا بتصير هذه نقص اتنين نقص اتنين هذا ايش؟ ليش نقص
+
+294
+00:25:12,290 --> 00:25:17,330
+اتنين؟لأنه على يمين الخمسة الارتفاع هيصير اتنين
+
+295
+00:25:17,330 --> 00:25:20,930
+وعشمالها الارتفاع Zero Zero نقص اتنين نقص اتنين صح
+
+296
+00:25:20,930 --> 00:25:28,910
+فهذا الخلل هذا الخلل بتتعالج كيف Left
+
+297
+00:25:28,910 --> 00:25:34,250
+rotation مصبوط Left rotation بترتب عليه الست بتطلع
+
+298
+00:25:34,250 --> 00:25:39,290
+فوق و الخمسة عشمالها و التمانية على يمينها okay
+
+299
+00:25:41,310 --> 00:25:45,030
+اللي انا بضيفه تلاتة تلاتة لو ضيفها مباشرة ده تيجي
+
+300
+00:25:45,030 --> 00:25:51,810
+هنا هتعمل ليه مشكلة لأ مش هتعمل مشكلة لأن هنا على
+
+301
+00:25:51,810 --> 00:25:55,590
+شمال الست هيصير الارتفاع اتنين وعلى يمينها واحد
+
+302
+00:25:55,590 --> 00:25:59,090
+اتنين ناقص واحد واحد صح فبنحطها
+
+303
+00:26:07,150 --> 00:26:11,410
+تمام؟ ايه واحد هذه الـ zero هذه واحد هذه الـ zero
+
+304
+00:26:11,410 --> 00:26:16,250
+تمام؟ الآن بيجي دور مين اللي هو التنين التنين لما
+
+305
+00:26:16,250 --> 00:26:20,630
+تتيجي تتيجي هنا هنا بيصير فيه مشكلة صح؟ بيصير ان
+
+306
+00:26:20,630 --> 00:26:23,990
+دي هذه ال balance تبعها ال factor تبعها zero هذه
+
+307
+00:26:23,990 --> 00:26:31,450
+one هذه اتنينصح؟ اتنين نقص صفر هذه تلاتة نقص واحد
+
+308
+00:26:31,450 --> 00:26:34,630
+هنا zero أيه نعم تلاتة نقص تلاتة على الجانب هذا
+
+309
+00:26:34,630 --> 00:26:38,070
+وتلاتة واحد هنا يصبحين اتنين الان بدي اعالج اللي
+
+310
+00:26:38,070 --> 00:26:43,830
+هو ال .. ال .. ال .. الانحياز ال shift اللي عن
+
+311
+00:26:43,830 --> 00:26:47,010
+ناحية هذه او ال toggle اللي عن ناحية هذه فبدي اخد
+
+312
+00:26:47,010 --> 00:26:54,010
+مين هدوله عملهم ايش shift right right rotation
+
+313
+00:26:55,000 --> 00:26:57,800
+right rotation ايش اللي بدي يصير الخمسة بدي تطلع
+
+314
+00:26:57,800 --> 00:27:04,040
+فوق الخمسة بدي تيجي الستة تيجي التمانية بعد هيك
+
+315
+00:27:04,040 --> 00:27:16,160
+بعدين التلاتة والتنين هيك مظبوط اين
+
+316
+00:27:16,160 --> 00:27:25,590
+انا لأ احنا وين احنا sorryأحنا وصلنا هذه .. لأ هيك
+
+317
+00:27:25,590 --> 00:27:31,630
+مش مظبوط المفروض تطلع الستة .. ليه؟ ناخد هدولة ..
+
+318
+00:27:31,630 --> 00:27:34,570
+ايه نعم .. ايه نعم ناخد هدولة و نخلي هذه ال route
+
+319
+00:27:34,570 --> 00:27:41,410
+صح؟ و هذا المظبوط أنه احنا بنبدأ من أول node صار
+
+320
+00:27:41,410 --> 00:27:44,230
+عندها ال imbalance اللي هي هذه
+
+321
+00:27:46,680 --> 00:27:51,180
+بنحل هذا إذا حلنا هذا ال imbalance ممكن تلقائيا
+
+322
+00:27:51,180 --> 00:27:57,460
+هذا ال imbalance يروح صح فانا باخد التلاتة هدولة
+
+323
+00:27:57,460 --> 00:28:01,240
+بصير
+
+324
+00:28:01,240 --> 00:28:09,820
+مين التلاتة فوق الأتنين هنا الخمسة هنا و بعدين ستة
+
+325
+00:28:09,820 --> 00:28:16,120
+و تمانية حلته هذا فعلا هيصار عندى هناtwo levels
+
+326
+00:28:16,120 --> 00:28:20,940
+وهنا one اتنين نقص واحد واحد فانحل هذا تلقائيا ال
+
+327
+00:28:20,940 --> 00:28:27,280
+imbalance اللي فوق انا بس اتأكد انه احنا
+
+328
+00:28:27,280 --> 00:28:36,820
+اه هناك صح احنا في ذاك الخطوة R اه نعم لان بعد هيك
+
+329
+00:28:36,820 --> 00:28:43,960
+بنضيف من الأربعة الأربعة بدأ تيجي هنا خربت ال
+
+330
+00:28:43,960 --> 00:28:50,200
+balanceمظبوط صار عندى هنا تلاتة levels وعلى اليمين
+
+331
+00:28:50,200 --> 00:28:57,100
+واحد صار عندى هنا اتنين هذا طبعا zero هذه zero هذه
+
+332
+00:28:57,100 --> 00:29:04,080
+واحد هذه zero مالهاش حدا هذه الها واحد على الشمال
+
+333
+00:29:04,080 --> 00:29:08,640
+واتنين على اليمين يبقى ناقص واحد مظبوط الان
+
+334
+00:29:08,640 --> 00:29:14,520
+المشكلة وين جاية جاية هنا هي ال imbalance عند
+
+335
+00:29:14,520 --> 00:29:19,490
+الاتنينOkay و جايب لهذا السبب فبدي اعمل ايش left
+
+336
+00:29:19,490 --> 00:29:30,330
+right left right هاي الوضعية هذه تمام
+
+337
+00:29:30,330 --> 00:29:40,810
+هو ايه سببه ايه سببه هذا التلاتة صح هدوله
+
+338
+00:29:40,810 --> 00:29:44,290
+اه اه مظبوط صح بس
+
+339
+00:29:48,440 --> 00:29:54,340
+خلّيني أشوف بس هو إيش عامل هنا عشان .. إيش مغير؟
+
+340
+00:29:54,340 --> 00:29:59,680
+وين هو؟ الخمسة
+
+341
+00:29:59,680 --> 00:30:06,660
+والتلاتة والاربعة طالع الخمسة لفوق صح؟ مرة تانية
+
+342
+00:30:06,660 --> 00:30:13,720
+طالع الخمسة لفوق صح؟ يبقى في عندي أكتر من حاجة ولا
+
+343
+00:30:13,720 --> 00:30:18,730
+لا؟أكتر من عملية في عندي الخمسة طالع على فوق بـ
+
+344
+00:30:18,730 --> 00:30:24,410
+left right rotation بعدين الخمسة طالع مرة تانية
+
+345
+00:30:24,410 --> 00:30:32,990
+هتانشوف هاد الآن هو
+
+346
+00:30:32,990 --> 00:30:38,830
+المنطق أنه انا ايش ساوي اعمل هدف الأول ايش اللي
+
+347
+00:30:38,830 --> 00:30:47,470
+بصير خمسة تطلع فوقالخامسة وعلى يسارها التلاتة وعلى
+
+348
+00:30:47,470 --> 00:30:50,250
+يسارها .. ويمينها الستة الستة على يمينها التمانية
+
+349
+00:30:50,250 --> 00:30:59,410
+والإيش والتنين والاربعة okay الآن أنا راح ال
+
+350
+00:30:59,410 --> 00:31:07,010
+imbalance خلاص راح راح
+
+351
+00:31:07,010 --> 00:31:12,330
+مظبوط هنا عندي two levels وهنا two levelsبس هو مش
+
+352
+00:31:12,330 --> 00:31:20,610
+عامل هذا الكلام مش عامل هو .. هو إيش مسوي؟ وينها؟
+
+353
+00:31:20,610 --> 00:31:27,330
+لأ عامل هذا الكلام، هي الخمسة .. اه هي هي الخمسة
+
+354
+00:31:27,330 --> 00:31:34,290
+والستة، صح؟ تلتة اربعة، مظبوط تمانية، بعد هي كده؟
+
+355
+00:31:34,290 --> 00:31:38,390
+لأ يا بنت، هو هنا
+
+356
+00:31:41,190 --> 00:31:47,050
+هو هنا ايش جاي تلاتة و خمسة ستة اه اه صح صح مظبوط
+
+357
+00:31:47,050 --> 00:31:54,110
+هذه هي مطابقة لهذه يبقى ايش عامل عامل لمين لهدولة
+
+358
+00:31:54,110 --> 00:31:58,230
+مظبوط على نفس المبدأ اللي كنا بنحكي فيه انه وين
+
+359
+00:31:58,230 --> 00:32:04,150
+عندي ال imbalance اول ما بيّن بيّن هنا تمام يبقى
+
+360
+00:32:04,150 --> 00:32:07,410
+وين المشكلة جاية بسبب هذه ال
+
+361
+00:32:11,140 --> 00:32:16,340
+هذه هي الـ arrangement فعمل left and right left
+
+362
+00:32:16,340 --> 00:32:21,680
+and right طلعت الخمسة فوق ثلاثة
+
+363
+00:32:21,680 --> 00:32:26,020
+على الشمالها والستة على يمينها الان ايش بيجي بعد
+
+364
+00:32:26,020 --> 00:32:29,960
+اخر حاجة اضافناها التنين اخر حاجة اضافناها الأربعة
+
+365
+00:32:29,960 --> 00:32:37,520
+بيجي السابعة السابعة بتيجي تقائيا هنا السابعة
+
+366
+00:32:37,520 --> 00:32:45,220
+بتيجي هناالان هذا عمل ايش imbalance ليش؟ وين ال
+
+367
+00:32:45,220 --> 00:32:48,500
+imbalance؟
+
+368
+00:32:48,500 --> 00:32:54,980
+وين ال imbalance؟ كيف؟ اه هنا عند الست ال
+
+369
+00:32:54,980 --> 00:33:02,240
+imbalance ال سبعة zero هذه واحد صح؟ لأن هذه على
+
+370
+00:33:02,240 --> 00:33:06,180
+يمينها اتنين وعشمالها يبقى ناقص اتنين فالوضعية
+
+371
+00:33:06,180 --> 00:33:14,090
+اللي عنديبدها right to left right to left ده تيجي
+
+372
+00:33:14,090 --> 00:33:20,570
+الستة و بعدين السبعة و بعدين التمانية و بعدين left
+
+373
+00:33:20,570 --> 00:33:23,210
+rotate هذا right rotation left rotation بتطلع
+
+374
+00:33:23,210 --> 00:33:26,710
+السبعة لفوق الستة ع الشمال و التمانية على الأمين
+
+375
+00:33:26,710 --> 00:33:34,610
+فبيطلع عنده اذا وضيف السبعة بتيجي الخمسة الست
+
+376
+00:33:34,610 --> 00:33:48,520
+السبعة8 6 4 أشمال 3 4 2 تمام okay فهذا المثال يعني
+
+377
+00:33:48,520 --> 00:33:53,020
+الخلاصة من انه انه احنا ال algorithm بدها هي اللي
+
+378
+00:33:53,020 --> 00:33:58,070
+تعمل عملية ال rotations هذهباستمرار احنا الآن شفنا
+
+379
+00:33:58,070 --> 00:34:02,270
+في ال example اللي بتتم هو الإضافة كل ما بتنعمل
+
+380
+00:34:02,270 --> 00:34:05,130
+إضافة بتعمل عملية rotation عشان اذا لازم الأمر
+
+381
+00:34:05,130 --> 00:34:08,650
+بتعمل rotation لان برضه لو في حدث لو جينا على ال
+
+382
+00:34:08,650 --> 00:34:10,570
+tree و هي هيك و جينا بنعشيها من السنة التلاتة و
+
+383
+00:34:10,570 --> 00:34:17,010
+كده بتعيد التربيط بحيث نتحافظ على ال ال ال ال AVL
+
+384
+00:34:17,010 --> 00:34:21,050
+condition okay لو بنطلع الآن على ال complexity
+
+385
+00:34:21,050 --> 00:34:29,480
+تبقى دا الكلام كلهفي .. جابني ال complexity في ال
+
+386
+00:34:29,480 --> 00:34:33,980
+H هنا ال H هذا اللي هو ال height مبدئيا بس بدنا
+
+387
+00:34:33,980 --> 00:34:37,720
+نقول ان ال height هذا من empirically يعني من
+
+388
+00:34:37,720 --> 00:34:41,460
+التجارب وال examples المتعددة اللي طبقت فيها ال
+
+389
+00:34:41,460 --> 00:34:46,420
+AVL وجد ان ال H اللي هو ال depth يعني ال height
+
+390
+00:34:46,420 --> 00:34:52,470
+تبع ال tree هيكون علاقته بال Nعدد ال nodes تبقى
+
+391
+00:34:52,470 --> 00:34:58,950
+هذا طالما أن ال tree AVL ففي علاقة ترضية ما بين ال
+
+392
+00:34:58,950 --> 00:35:04,670
+nodes و ال height صح؟ لو ال tree مش AVL لو سمحنا
+
+393
+00:35:04,670 --> 00:35:09,510
+لها تاخد الشكل اللي بدها مافيش علاقة ممكن يبقى عدد
+
+394
+00:35:09,510 --> 00:35:14,610
+ال nodes كتير و يبقى ال height عميق جدا و ممكن
+
+395
+00:35:14,610 --> 00:35:21,330
+يبقى كتير و ال heightbalanced نُص ذلك لكن إذا كانت
+
+396
+00:35:21,330 --> 00:35:27,670
+AVL ففي علاقة مضبوطة ما بين ال height و ال N اللي
+
+397
+00:35:27,670 --> 00:35:32,510
+هو هذا الكلام log N زائد 2 مضروب في هذا ال
+
+398
+00:35:32,510 --> 00:35:36,470
+constant مطروح منه هذا ال constant هذا الآن للعلم
+
+399
+00:35:36,470 --> 00:35:40,610
+مش قضية تُخد في انتباه في ال complexity ال
+
+400
+00:35:40,610 --> 00:35:46,310
+complexity في الآخرواجفة على N ويلها علاقة بشو
+
+401
+00:35:46,310 --> 00:35:49,410
+العمليات اللي بدها تم اصلا اذا احنا بنحكي عن
+
+402
+00:35:49,410 --> 00:35:53,010
+searching بنحكي عن ال complexity .. بنسأل ايش ال
+
+403
+00:35:53,010 --> 00:35:55,950
+complexity تبع ال search؟ اذا بنحكي عن deletion
+
+404
+00:35:55,950 --> 00:35:59,510
+ايش ال complexity تبع ال deletion؟ اذا بنحكي عن
+
+405
+00:35:59,510 --> 00:36:03,090
+addition ايش ال complexity تبع ال addition؟ انها
+
+406
+00:36:03,090 --> 00:36:05,850
+ال searching ال searching بما ان هي AVL هي عبارة
+
+407
+00:36:05,850 --> 00:36:09,850
+عن binary tree يبقى كل ال searching عبارة عن
+
+408
+00:36:09,850 --> 00:36:13,800
+divide and conquer أصبحلأنه انا بروح معاه value
+
+409
+00:36:13,800 --> 00:36:16,400
+بدا ببحث عنه في ال tree بروح على ال route و بشوف
+
+410
+00:36:16,400 --> 00:36:20,000
+إذا هو أكبر ولا أصغر ولا يساوي إذا أكبر بروح على
+
+411
+00:36:20,000 --> 00:36:25,100
+اليمين ولا أصغر شمالي بيصار انا في end دي تخفيض
+
+412
+00:36:25,100 --> 00:36:28,940
+لحجم ال input كل مرة بمقدار من نص يبقى login على
+
+413
+00:36:28,940 --> 00:36:33,480
+طول وانا مضمط ال complexity ده ما تصيرش big O of
+
+414
+00:36:33,480 --> 00:36:39,720
+login هدف في ال worst case طبعا okay الانالـ
+
+415
+00:36:39,720 --> 00:36:44,460
+search هذا بترتب عليه ال insertion ال insertion ما
+
+416
+00:36:44,460 --> 00:36:48,960
+هو اللي عملية search بعد ما لجينا وين العنصر اللي
+
+417
+00:36:48,960 --> 00:36:51,860
+.. وين مكانه العنصر اللي معانا بنروح من هذا ..
+
+418
+00:36:51,860 --> 00:36:55,780
+بنضيف بعد ما نضيف ربما نحتاج نعمل rotation ال
+
+419
+00:36:55,780 --> 00:36:59,960
+rotation هذا في حد ذاته سواء كان right ولا left
+
+420
+00:36:59,960 --> 00:37:04,500
+ولا LR ولا RL عبارة عن تربيت أكم من عدد محدود من
+
+421
+00:37:04,500 --> 00:37:09,070
+ال pointersأه يعني حتى لو كان ال node اللي بدأ
+
+422
+00:37:09,070 --> 00:37:13,170
+أحركها مشانشال فيها sub-tree هي ال sub-tree كلها
+
+423
+00:37:13,170 --> 00:37:16,830
+عبارة عن pointer بدأ أاخده و أنجله من هذا ال node
+
+424
+00:37:16,830 --> 00:37:21,550
+إلى هذا ال node يبقى حتى ال insertion لن يزيد كتير
+
+425
+00:37:21,550 --> 00:37:26,170
+على بعد ال search بعد أن ألاج ال node مش هيضل أشي
+
+426
+00:37:26,170 --> 00:37:29,650
+كتير اللي ينعمل يبقى ال search و ال insertion up
+
+427
+00:37:29,650 --> 00:37:35,460
+جوه loginOkay الـ deletion ممكن يترتب عليه شغل
+
+428
+00:37:35,460 --> 00:37:40,420
+أكتر ماتما أنا لجيت ال node اللي بدأ أشيلها أه
+
+429
+00:37:40,420 --> 00:37:43,260
+شيلتها في يعني two pointers ممكن يترتب عليه شغل
+
+430
+00:37:43,260 --> 00:37:47,480
+أكتر من ال session بس برضه حجم الشغل لأ مابرفعنيش
+
+431
+00:37:47,480 --> 00:37:51,320
+على مستوى أعلى من ال login بيضلوا في حدود ال login
+
+432
+00:37:51,320 --> 00:37:56,280
+لذلك أيضا كمان ال deletion is big is also big O of
+
+433
+00:37:56,280 --> 00:38:03,360
+M okayالان ال AVL Tree فيها ال rotations بتحصل
+
+434
+00:38:03,360 --> 00:38:07,360
+very frequent وهذا شيء سيء يعني إضافة يعني okay
+
+435
+00:38:07,360 --> 00:38:10,560
+إنه ال performance تبعها أو ال complex تبعتها log
+
+436
+00:38:10,560 --> 00:38:18,180
+in إنما المشكلتها في اللي هو so many rotations
+
+437
+00:38:18,180 --> 00:38:22,560
+بتتعمل عند الحذف و الإضافة و ال .. okay ففي النوع
+
+438
+00:38:22,560 --> 00:38:26,740
+التاني اللي هو ال two to three ال two to three
+
+439
+00:38:28,980 --> 00:38:33,520
+بتعالج قضية الـ frequent rotations وهذه وبتقلل
+
+440
+00:38:33,520 --> 00:38:36,180
+منها ايش هو الـ two to three مررت عليكوا قبل هي
+
+441
+00:38:36,180 --> 00:38:39,280
+كانت two to three tree ال two to three tree اللي
+
+442
+00:38:39,280 --> 00:38:41,960
+هي عبارة عن احنا لما نقولنا ال AVL او ال binary
+
+443
+00:38:41,960 --> 00:38:49,880
+اسف ال binary ال binary هي عبارة عن tree كل node
+
+444
+00:38:49,880 --> 00:38:54,100
+لها two children maximumاللي احنا ممكن نعمم شوية
+
+445
+00:38:54,100 --> 00:38:58,500
+في الفكرة هذه و نقول انا لأ ممكن يبقى ال node
+
+446
+00:38:58,500 --> 00:39:03,600
+إليها أكتر من من ايش من من two children و هي أيضا
+
+447
+00:39:03,600 --> 00:39:08,800
+كمان اللي بداخلها ممكن مش بس value واحد أكتر من
+
+448
+00:39:08,800 --> 00:39:16,220
+value ال
+
+449
+00:39:16,220 --> 00:39:22,540
+two to three عبارة عن three ال node سبعتهاتحتوي
+
+450
+00:39:22,540 --> 00:39:27,180
+على two values وهذا يترتب عليه three children
+
+451
+00:39:27,180 --> 00:39:30,680
+لاحظوا في علاقة ما بين عدد ال values وما بين ال
+
+452
+00:39:30,680 --> 00:39:34,420
+children لما يكون عندي value واحد بقدر احط two
+
+453
+00:39:34,420 --> 00:39:37,800
+children واحد اقل منه من ال value واحد اكبر منه
+
+454
+00:39:37,800 --> 00:39:44,680
+لما يكون عندي two values اقول مثلا تلاتة وتمانية
+
+455
+00:39:44,680 --> 00:39:51,090
+بقدر احط اللي اقل من التلاتة left childوالأكبر من
+
+456
+00:39:51,090 --> 00:39:55,190
+التمانية right child واللي بينهم بين التلاتة
+
+457
+00:39:55,190 --> 00:40:01,050
+والتمانية بحطه في النص okay فهذا ال less than K
+
+458
+00:40:01,050 --> 00:40:06,590
+واحد okay خلّي بالك هذي very general ال multi way
+
+459
+00:40:06,590 --> 00:40:11,230
+very general لأنه بتقول حتى كمان إذا بدك حط كمان
+
+460
+00:40:11,230 --> 00:40:15,250
+تلاتة أربعة جد in number of keys وعمم الجدية هذي
+
+461
+00:40:15,250 --> 00:40:19,490
+جداش في عندك keys عندك children يساويهم زاد واحد
+
+462
+00:40:20,530 --> 00:40:26,110
+إذا عندك N number of .. بالعكس إذا عندك N number
+
+463
+00:40:26,110 --> 00:40:30,050
+of children عندك N مقص واحد number of keys جوا
+
+464
+00:40:30,050 --> 00:40:36,050
+okay ال key ال left child هو بيكون value تبعه أقل
+
+465
+00:40:36,050 --> 00:40:41,030
+من K واحد ال right child أكبر من K الأخير و اللي
+
+466
+00:40:41,030 --> 00:40:47,970
+جوا في النص in between هاي مثال على ذلك اللي هو لو
+
+467
+00:40:53,680 --> 00:40:57,140
+أولا وضحط ايش يعني المفهوم الـ two to three two
+
+468
+00:40:57,140 --> 00:41:02,320
+keys three children لو أنا الأن عندي هذه ال data و
+
+469
+00:41:02,320 --> 00:41:05,980
+بدي أخزنها في ال two to three three اول ما بتخش
+
+470
+00:41:05,980 --> 00:41:12,940
+بتخش التسعةنوت لحالها حلو؟ بعدين بتخش الخمسة ايش
+
+471
+00:41:12,940 --> 00:41:16,900
+أسوي؟ احط الخمسة على شمالها؟ لأ مازال عندي انا two
+
+472
+00:41:16,900 --> 00:41:21,240
+to three و في وسعى معناها داخل النوت بحطها بقى
+
+473
+00:41:21,240 --> 00:41:24,320
+معاها في داخل النوت بحطها جابلها ولا بعدها؟ جابلها
+
+474
+00:41:24,320 --> 00:41:30,520
+طبعا okay الخمسة بتيجي جوا في نفس النوتلأن دائما
+
+475
+00:41:30,520 --> 00:41:33,440
+في النوت الواحد انا عندي وسعة ل maximum two two
+
+476
+00:41:33,440 --> 00:41:37,040
+keys two values خشت الآن اجه ال value التالت
+
+477
+00:41:37,040 --> 00:41:40,560
+التمانية التمانية الآن مابلوش وسعة لو ضحوط مابلوش
+
+478
+00:41:40,560 --> 00:41:44,140
+وسعة فلازم اعمل split التلاتة دول بده عمل split
+
+479
+00:41:44,140 --> 00:41:50,440
+ايش عمل split ال middle value بده يجيه rootDG root
+
+480
+00:41:50,440 --> 00:41:54,200
+و هدول الاتنين الخمسة والتسعة صاروا left و right
+
+481
+00:41:54,200 --> 00:41:58,780
+ال children التلاتة الآن لما تيجي مكانها الطبيعي
+
+482
+00:41:58,780 --> 00:42:03,640
+وين؟ مع الخمسة فى لها وساق؟ لها وساق بتظل جادة
+
+483
+00:42:03,640 --> 00:42:08,240
+الاتنين لما تيجي مكانها انه مع هدولة بس مالياش
+
+484
+00:42:08,240 --> 00:42:12,820
+وساقة معاهم لازم أعمل split عمل split ليش؟ تلاتة
+
+485
+00:42:16,950 --> 00:42:21,790
+التلاتة وبعدين الاتنين والخمسة واللأ اطلع التلاتة
+
+486
+00:42:21,790 --> 00:42:25,230
+فوق واخل الاتنين والخمسة يعني هي اللي اجه دخل
+
+487
+00:42:25,230 --> 00:42:28,890
+عليهم الاتنين الاتنين اللي انا لما بتيجي بدل ما
+
+488
+00:42:28,890 --> 00:42:35,670
+اعمل two notes جداد ومعاهم الهم root لأ بطلع حاجة
+
+489
+00:42:35,670 --> 00:42:39,310
+دي في ال root اللي فوقها واشتغل وبيتيجي الاتنين
+
+490
+00:42:39,310 --> 00:42:40,630
+والخمسة زي ما هو عامل
+
+491
+00:42:44,070 --> 00:42:49,310
+الخامسة هذه لأنها ما بين التلاتة والتمانية فاجت في
+
+492
+00:42:49,310 --> 00:42:52,390
+ال
+
+493
+00:42:52,390 --> 00:42:56,250
+middle child صح يعني ايه اللي حصل عمليا لأنه لما
+
+494
+00:42:56,250 --> 00:43:00,630
+اجي اضاف اتنين طلع التلاتة فوق مع التمانية صاروا
+
+495
+00:43:00,630 --> 00:43:05,170
+range okay صارت التنين اقل من هذا ال range الخامسة
+
+496
+00:43:05,170 --> 00:43:09,330
+في نص ال range والتسعة على يمينه الان بدا تيجي من
+
+497
+00:43:09,330 --> 00:43:15,770
+الأربعة الأربعة مكانهاوين؟ هي مش أقل من هذا ال
+
+498
+00:43:15,770 --> 00:43:18,130
+range هي في نص ال range في نص ال range إيش فيه
+
+499
+00:43:18,130 --> 00:43:20,630
+أنتي في نص ال range؟ فيه الخمسة بقدر أحطها أنا
+
+500
+00:43:20,630 --> 00:43:25,110
+بقدر أحطها معاها بعدك السابعة السابعة برضه بداخل
+
+501
+00:43:25,110 --> 00:43:29,910
+ال range فبدأ تيجي مع هدولة مظبوط؟ أجت مع هدولة
+
+502
+00:43:29,910 --> 00:43:34,390
+بتفهش تقعد تلت لازم أطلع واحد الواحد هذا بقدر أطلع
+
+503
+00:43:34,390 --> 00:43:41,320
+فوق لأ مالوش وساعة صح؟إذا طلعته فوق ما له وسع إذا
+
+504
+00:43:41,320 --> 00:43:45,380
+طلعته فوق ماعش الحال في هذا الحالة بدي أرفع هدولة
+
+505
+00:43:45,380 --> 00:43:50,520
+إلى إيش تلاتة زي ما هو عامل هنا تلاتة الخمسة طلعت
+
+506
+00:43:50,520 --> 00:43:52,880
+فوق تلاتة على شمالها و التمانية على شمالها و
+
+507
+00:43:52,880 --> 00:43:57,620
+التمانية أخدت هدولة و التلاتة أخدت التانين التانين
+
+508
+00:43:57,620 --> 00:44:05,030
+فهذا الأمر صح في splittingبس مافيش rotations، ال
+
+509
+00:44:05,030 --> 00:44:09,770
+rotations جلت وال splitting أخف أو أهون من عملية
+
+510
+00:44:09,770 --> 00:44:11,630
+ال rotation إلى حد منها
+
+511
+00:44:14,540 --> 00:44:20,920
+بيظلوا ال complexity تبع ال 2 to 3 trees انها log
+
+512
+00:44:20,920 --> 00:44:26,660
+N في ال average لأنه ماليهاش علاقة ب best case و
+
+513
+00:44:26,660 --> 00:44:30,940
+worst case برضه كمان علاقة ال height ال height تبع
+
+514
+00:44:30,940 --> 00:44:36,420
+ال 2 to 3 tree مع ال input مع عدد ال nodes محكوم
+
+515
+00:44:36,420 --> 00:44:36,880
+بالعلاقة
+
+516
+00:44:39,500 --> 00:44:45,400
+أدنا له مثلًا و أحد أدنا له log base 3 in plus 1 و
+
+517
+00:44:45,400 --> 00:44:51,860
+أحد أقصى له log base 2 in plus 1 ماشي الحالة كفاية
+
+518
+00:44:51,860 --> 00:44:55,780
+اللي عندنا و المحاضرة الجاي ان شاء الله بنتقل إلى
+
+519
+00:44:55,780 --> 00:45:01,820
+موضوع أخر اللي يعني احنا عمليًا استكفينا منه اللي
+
+520
+00:45:01,820 --> 00:45:05,340
+هو transform and conquer algorithms ماشي أعطيكم
+
+521
+00:45:05,340 --> 00:45:05,720
+العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..ca5ebadaa947f87c46ad4e892ff5b3008f1d9ee1
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 5003, "start": 20.67, "end": 50.03, "text": "بسم الله الرحمن الرحيم والصلاة والسلام علي الأشرف والمسلم اليوم إن شاء الله بنكمل في موضوع transform and conquer المحاضرة التالتة بناخد more examples على كيف أنه we can transform ال problem أو ال input بحيث أنه يصير التعامل مع المسألة أبسط فهذه المحاضرة هنشوف ال searching problem في أنواع من اللي هو ال search trees", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 16070, 9381, 15040, 3660, 16070, 3794, 37440, 25894, 16247, 8592, 28480, 16070, 2304, 3794, 19528, 45595, 20498, 36145, 13412, 16606, 21984, 44945, 24793, 1211, 8978, 3714, 2407, 11242, 45367, 4088, 293, 24136, 9673, 5016, 46958, 25720, 16712, 6027, 2655, 3660, 44945, 47283, 3215, 544, 5110, 15844, 9122, 33911, 14739, 3224, 321, 393, 4088, 2423, 1154, 34051, 2423, 4846, 4724, 5016, 1829, 12984, 14739, 3224, 7251, 9381, 13546, 16712, 3615, 10943, 1211, 20449, 9673, 3794, 10721, 37977, 5551, 3555, 3794, 9566, 6156, 3224, 24192, 9673, 5016, 46958, 25720, 8032, 1863, 8592, 38688, 2423, 10808, 1154, 8978, 14739, 14407, 3615, 9154, 13672, 1829, 31439, 2423, 3164, 5852], "avg_logprob": -0.17703804762467093, "compression_ratio": 1.8058608058608059, "no_speech_prob": 1.049041748046875e-05, "words": [{"start": 20.67, "end": 21.19, "word": "بسم", "probability": 0.69775390625}, {"start": 21.19, "end": 21.41, "word": " الله", "probability": 0.92822265625}, {"start": 21.41, "end": 21.67, "word": " الرحمن", "probability": 0.9713541666666666}, {"start": 21.67, "end": 21.97, "word": " الرحيم", "probability": 0.98583984375}, {"start": 21.97, "end": 22.21, "word": " والصلاة", "probability": 0.72894287109375}, {"start": 22.21, "end": 22.55, "word": " والسلام", "probability": 0.91259765625}, {"start": 22.55, "end": 22.71, "word": " علي", "probability": 0.491455078125}, {"start": 22.71, "end": 22.99, "word": " الأشرف", "probability": 0.769287109375}, {"start": 22.99, "end": 23.35, "word": " والمسلم", "probability": 0.5023193359375}, {"start": 23.35, "end": 23.75, "word": " اليوم", "probability": 0.76220703125}, {"start": 23.75, "end": 24.45, "word": " إن", "probability": 0.246826171875}, {"start": 24.45, "end": 24.57, "word": " شاء", "probability": 0.9580078125}, {"start": 24.57, "end": 24.63, "word": " الله", "probability": 0.9560546875}, {"start": 24.63, "end": 25.11, "word": " بنكمل", "probability": 0.93505859375}, {"start": 25.11, "end": 25.25, "word": " في", "probability": 0.9228515625}, {"start": 25.25, "end": 25.55, "word": " موضوع", "probability": 0.9322509765625}, {"start": 25.55, "end": 25.99, "word": " transform", "probability": 0.281982421875}, {"start": 25.99, "end": 26.33, "word": " and", "probability": 0.9033203125}, {"start": 26.33, "end": 26.69, "word": " conquer", "probability": 0.95654296875}, {"start": 26.69, "end": 27.13, "word": " المحاضرة", "probability": 0.888427734375}, {"start": 27.13, "end": 27.77, "word": " التالتة", "probability": 0.9442138671875}, {"start": 27.77, 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searching", "probability": 0.908203125}, {"start": 42.39, "end": 43.05, "word": " problem", "probability": 0.953125}, {"start": 43.05, "end": 44.63, "word": " في", "probability": 0.55615234375}, {"start": 44.63, "end": 45.87, "word": " أنواع", "probability": 0.9383138020833334}, {"start": 45.87, "end": 46.17, "word": " من", "probability": 0.97900390625}, {"start": 46.17, "end": 46.53, "word": " اللي", "probability": 0.76708984375}, {"start": 46.53, "end": 46.75, "word": " هو", "probability": 0.97607421875}, {"start": 46.75, "end": 46.95, "word": " ال", "probability": 0.50439453125}, {"start": 46.95, "end": 47.39, "word": " search", "probability": 0.96044921875}, {"start": 47.39, "end": 50.03, "word": " trees", "probability": 0.72314453125}], "temperature": 1.0}, {"id": 2, "seek": 5845, "start": 51.11, "end": 58.45, "text": "في حاجة اسمة الـ AVAVL3 وفي حاجة اسمة الـ 2233", "tokens": [41185, 11331, 26108, 3660, 24525, 46007, 2423, 39184, 30198, 32, 53, 43, 18, 4032, 41185, 11331, 26108, 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تحافظ على إنها 223 عشان تعمل هذا الكلام دايما continuously بتعمل", "tokens": [40228, 22653, 2423, 39184, 30198, 43, 4032, 2423, 39184, 5853, 18, 8032, 3215, 12610, 4032, 6225, 3555, 9640, 3660, 18871, 5852, 6055, 14851, 9778, 40448, 8978, 13672, 1829, 31439, 2423, 39184, 22291, 17180, 278, 35014, 6819, 2592, 2423, 39184, 22291, 17180, 278, 35014, 6819, 2592, 8032, 3215, 12610, 2423, 39184, 732, 5852, 44945, 39648, 15684, 5296, 31377, 2304, 2423, 9284, 7251, 2655, 5016, 31845, 19913, 15844, 2423, 4230, 36145, 11296, 30198, 43, 19446, 6055, 34740, 7435, 8592, 25124, 2288, 9566, 16247, 3794, 32277, 1829, 6055, 3555, 3615, 11296, 4032, 6055, 5016, 31845, 19913, 15844, 36145, 11296, 5853, 18, 6225, 8592, 7649, 6055, 25957, 1211, 23758, 2423, 28820, 10943, 11778, 47302, 15042, 15684, 39894, 25957, 1211], "avg_logprob": -0.15328663240732818, "compression_ratio": 1.7401574803149606, "no_speech_prob": 0.0, "words": [{"start": 150.15, "end": 150.57, "word": "يعني", "probability": 0.94482421875}, 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search trees لما انا بدي استخدم binary search tree خلي بالك ان احنا ايه ما لسه ماحكيناش عن ال AVL AVL هي نوع من أنواع ال binary فاحنا بنمهد شوية", "tokens": [6027, 39184, 17434, 3164, 5852, 5296, 15042, 1975, 8315, 4724, 16254, 44713, 9778, 40448, 17434, 3164, 4230, 16490, 20292, 20666, 4117, 16472, 1975, 5016, 8315, 1975, 1829, 3224, 19446, 5296, 3794, 3224, 19446, 5016, 4117, 1829, 8315, 8592, 18871, 2423, 30198, 43, 30198, 43, 39896, 8717, 45367, 9154, 14739, 14407, 3615, 2423, 17434, 6156, 39319, 8315, 44945, 2304, 3224, 3215, 13412, 2407, 10632], "avg_logprob": -0.23352051177062094, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 238.32, "end": 238.58, "word": "الـ", "probability": 0.724609375}, {"start": 238.58, "end": 238.88, "word": " binary", "probability": 0.21044921875}, {"start": 238.88, "end": 239.24, "word": " search", "probability": 0.98193359375}, {"start": 239.24, "end": 239.68, "word": " trees", "probability": 0.89404296875}, {"start": 239.68, 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واحد واضح كيف هذه نتجت عن هذه بفعل ال left rotation على هذه ال edge هذه ال edge بسي اللي طبقت عليها left rotation لما عملت left rotation طلعت الاتنين ونزلت الواحد okay", "tokens": [3555, 31371, 7435, 1829, 2423, 9307, 1863, 9957, 29538, 39894, 9566, 1211, 3615, 6156, 30543, 46599, 31371, 7435, 1829, 2423, 9307, 1863, 9957, 34105, 46599, 22488, 9957, 2423, 14407, 24401, 39894, 1863, 11622, 1211, 5296, 2655, 33753, 20328, 9640, 14407, 1975, 1829, 8592, 22807, 6055, 1211, 9307, 3660, 1975, 2655, 1863, 9957, 36764, 24401, 4032, 46958, 5016, 9122, 33911, 29538, 8717, 2655, 7435, 2655, 18871, 29538, 4724, 5172, 30241, 2423, 1411, 12447, 15844, 29538, 2423, 4691, 29538, 2423, 4691, 4724, 3794, 1829, 13672, 1829, 23032, 3555, 38149, 25894, 11296, 1411, 12447, 5296, 15042, 6225, 42213, 2655, 1411, 12447, 23032, 1211, 34268, 2423, 9307, 1863, 9957, 4032, 1863, 11622, 1211, 2655, 2423, 14407, 24401, 1392], "avg_logprob": -0.16888587526653123, "compression_ratio": 1.9906976744186047, 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{"start": 974.39, "end": 975.15, "word": " okay", "probability": 0.69873046875}], "temperature": 1.0}, {"id": 39, "seek": 99483, "start": 975.95, "end": 994.83, "text": "الـ answer عند الوضعية هادى اللى هى هادى بقدر اعمل right rotation للكل بتطلع الاتنين فوق و الواحد ع الشمال و التلاتة على اليمين okay left rotate left right يعني اول شي left و بعدين right", "tokens": [6027, 39184, 1867, 43242, 2423, 2407, 11242, 3615, 10632, 8032, 18513, 7578, 13672, 7578, 8032, 7578, 8032, 18513, 7578, 4724, 28543, 2288, 1975, 25957, 1211, 558, 12447, 5296, 23275, 1211, 39894, 9566, 1211, 3615, 2423, 9307, 1863, 9957, 6156, 30543, 4032, 2423, 14407, 24401, 6225, 25124, 2304, 6027, 4032, 16712, 1211, 9307, 3660, 15844, 2423, 32640, 9957, 1392, 1411, 13121, 1411, 558, 37495, 22653, 1975, 12610, 44049, 1411, 4032, 39182, 9957, 558], "avg_logprob": -0.2583476092717419, "compression_ratio": 1.6067415730337078, "no_speech_prob": 0.0, "words": [{"start": 975.95, "end": 976.25, "word": "الـ", "probability": 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أنجله من هذا ال node إلى هذا ال node يبقى حتى ال insertion لن يزيد كتير على بعد ال search بعد أن ألاج ال node مش هيضل أشي كتير اللي ينعمل يبقى ال search و ال insertion up جوه login", "tokens": [10721, 3224, 37495, 22653, 11331, 49975, 45164, 25961, 2423, 9984, 13672, 1829, 47525, 10721, 5551, 5016, 31747, 11296, 37893, 7649, 8592, 6027, 8978, 11296, 1422, 12, 83, 701, 39896, 2423, 1422, 12, 83, 701, 28242, 11296, 6225, 3555, 9640, 3660, 18871, 23918, 47525, 10721, 5551, 47283, 3215, 3224, 4032, 14739, 7435, 43761, 9154, 23758, 2423, 9984, 30731, 23758, 2423, 9984, 7251, 3555, 4587, 7578, 11331, 49975, 2423, 8969, 313, 5296, 1863, 7251, 11622, 25708, 9122, 2655, 13546, 15844, 39182, 2423, 3164, 39182, 14739, 5551, 1211, 26108, 2423, 9984, 37893, 39896, 11242, 1211, 5551, 8592, 1829, 9122, 2655, 13546, 13672, 1829, 7251, 1863, 25957, 1211, 7251, 3555, 4587, 7578, 2423, 3164, 4032, 2423, 8969, 313, 493, 10874, 2407, 3224, 24276], "avg_logprob": -0.2812499980131785, "compression_ratio": 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"end": 2244.79, "word": " ألاج", "probability": 0.6713053385416666}, {"start": 2244.79, "end": 2244.91, "word": " ال", "probability": 0.69921875}, {"start": 2244.91, "end": 2245.21, "word": " node", "probability": 0.96484375}, {"start": 2245.21, "end": 2245.43, "word": " مش", "probability": 0.92626953125}, {"start": 2245.43, "end": 2245.87, "word": " هيضل", "probability": 0.7630208333333334}, {"start": 2245.87, "end": 2246.17, "word": " أشي", "probability": 0.7058919270833334}, {"start": 2246.17, "end": 2246.45, "word": " كتير", "probability": 0.98388671875}, {"start": 2246.45, "end": 2246.63, "word": " اللي", "probability": 0.881591796875}, {"start": 2246.63, "end": 2247.17, "word": " ينعمل", "probability": 0.77789306640625}, {"start": 2247.17, "end": 2247.89, "word": " يبقى", "probability": 0.9571533203125}, {"start": 2247.89, "end": 2248.11, "word": " ال", "probability": 0.9716796875}, {"start": 2248.11, "end": 2248.53, "word": " search", "probability": 0.98193359375}, {"start": 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2268.3, "end": 2268.86, "word": " أعلى", "probability": 0.9352213541666666}, {"start": 2268.86, "end": 2269.02, "word": " من", "probability": 0.99658203125}, {"start": 2269.02, "end": 2269.14, "word": " ال", "probability": 0.88818359375}, {"start": 2269.14, "end": 2269.52, "word": " login", "probability": 0.3515625}, {"start": 2269.52, "end": 2270.5, "word": " بيضلوا", "probability": 0.89130859375}, {"start": 2270.5, "end": 2270.62, "word": " في", "probability": 0.935546875}, {"start": 2270.62, "end": 2270.88, "word": " حدود", "probability": 0.99072265625}, {"start": 2270.88, "end": 2271.04, "word": " ال", "probability": 0.9697265625}, {"start": 2271.04, "end": 2271.32, "word": " login", "probability": 0.8291015625}, {"start": 2271.32, "end": 2272.34, "word": " لذلك", "probability": 0.97509765625}, {"start": 2272.34, "end": 2272.72, "word": " أيضا", "probability": 0.9212239583333334}, {"start": 2272.72, "end": 2273.1, "word": " كمان", "probability": 0.9114583333333334}, {"start": 2273.1, "end": 2273.86, "word": " ال", "probability": 0.92626953125}, {"start": 2273.86, "end": 2274.38, "word": " deletion", "probability": 0.8683268229166666}, {"start": 2274.38, "end": 2274.62, "word": " is", "probability": 0.892578125}, {"start": 2274.62, "end": 2274.98, "word": " big", "probability": 0.75390625}, {"start": 2274.98, "end": 2275.24, "word": " is", "probability": 0.68115234375}, {"start": 2275.24, "end": 2275.6, "word": " also", "probability": 0.80615234375}, {"start": 2275.6, "end": 2275.88, "word": " big", "probability": 0.76904296875}, {"start": 2275.88, "end": 2276.08, "word": " O", "probability": 0.68115234375}, {"start": 2276.08, "end": 2276.28, "word": " of", "probability": 0.701171875}, {"start": 2276.28, "end": 2276.54, "word": " M", "probability": 0.9052734375}, {"start": 2276.54, "end": 2277.08, "word": " okay", "probability": 0.65087890625}], "temperature": 1.0}, {"id": 87, "seek": 230673, "start": 2277.68, "end": 2306.74, "text": "الان ال AVL Tree فيها ال rotations بتحصل very frequent وهذا شيء سيء يعني إضافة يعني okay إنه ال performance تبعها أو ال complex تبعتها log in إنما المشكلتها في اللي هو so many rotations بتتعمل عند الحذف و الإضافة و ال .. okay ففي النوع التاني اللي هو ال two to three ال two to three", "tokens": [6027, 7649, 2423, 30198, 43, 22291, 8978, 11296, 2423, 44796, 39894, 5016, 36520, 588, 18004, 37037, 15730, 44049, 38207, 8608, 1829, 38207, 37495, 22653, 11933, 11242, 31845, 3660, 37495, 22653, 1392, 36145, 3224, 2423, 3389, 6055, 3555, 3615, 11296, 34051, 2423, 3997, 6055, 3555, 34268, 11296, 3565, 294, 36145, 15042, 9673, 8592, 28820, 2655, 11296, 8978, 13672, 1829, 31439, 370, 867, 44796, 39894, 2655, 25957, 1211, 43242, 21542, 8848, 5172, 4032, 33688, 11242, 31845, 3660, 4032, 2423, 4386, 1392, 6156, 41185, 28239, 45367, 16712, 7649, 1829, 13672, 1829, 31439, 2423, 732, 281, 1045, 2423, 732, 281, 1045], "avg_logprob": -0.24760841745503095, "compression_ratio": 1.7095435684647302, "no_speech_prob": 0.0, "words": 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0.979248046875}, {"start": 2303.2, "end": 2303.52, "word": " هو", "probability": 0.99462890625}, {"start": 2303.52, "end": 2304.32, "word": " ال", "probability": 0.93798828125}, {"start": 2304.32, "end": 2304.44, "word": " two", "probability": 0.7333984375}, {"start": 2304.44, "end": 2304.62, "word": " to", "probability": 0.931640625}, {"start": 2304.62, "end": 2305.14, "word": " three", "probability": 0.94873046875}, {"start": 2305.14, "end": 2305.98, "word": " ال", "probability": 0.79638671875}, {"start": 2305.98, "end": 2306.2, "word": " two", "probability": 0.9326171875}, {"start": 2306.2, "end": 2306.38, "word": " to", "probability": 0.9619140625}, {"start": 2306.38, "end": 2306.74, "word": " three", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 88, "seek": 233126, "start": 2308.98, "end": 2331.26, "text": "بتعالج قضية الـ frequent rotations وهذه وبتقلل منها ايش هو الـ two to three مررت عليكوا قبل هي كانت two to three tree ال two to three tree اللي هي عبارة عن احنا لما نقولنا ال AVL او ال binary اسف ال binary ال binary هي عبارة عن tree كل node لها two children maximum", "tokens": [3555, 2655, 3615, 6027, 7435, 12174, 11242, 10632, 2423, 39184, 18004, 44796, 37037, 24192, 46599, 2655, 4587, 1211, 1211, 9154, 11296, 1975, 1829, 8592, 31439, 2423, 39184, 732, 281, 1045, 3714, 2288, 43500, 25894, 4117, 14407, 12174, 36150, 39896, 25961, 2655, 732, 281, 1045, 4230, 2423, 732, 281, 1045, 4230, 13672, 1829, 39896, 6225, 3555, 9640, 3660, 18871, 1975, 5016, 8315, 5296, 15042, 8717, 39648, 8315, 2423, 30198, 43, 1975, 2407, 2423, 17434, 24525, 5172, 2423, 17434, 2423, 17434, 39896, 6225, 3555, 9640, 3660, 18871, 4230, 28242, 9984, 5296, 11296, 732, 2227, 6674], "avg_logprob": -0.3085106389319643, "compression_ratio": 1.6846846846846846, "no_speech_prob": 0.0, "words": [{"start": 2308.98, "end": 2309.58, "word": "بتعالج", "probability": 0.9146484375}, {"start": 2309.58, "end": 2310.1, "word": " قضية", "probability": 0.9484049479166666}, {"start": 2310.1, 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1.0}, {"id": 103, "seek": 270572, "start": 2679.5, "end": 2705.72, "text": "أدنا له مثلًا و أحد أدنا له log base 3 in plus 1 و أحد أقصى له log base 2 in plus 1 ماشي الحالة كفاية اللي عندنا و المحاضرة الجاي ان شاء الله بنتقل إلى موضوع أخر اللي يعني احنا عمليًا استكفينا منه اللي هو transform and conquer algorithms ماشي أعطيكم العافية", "tokens": [10721, 3215, 8315, 46740, 50113, 1211, 14111, 995, 4032, 5551, 24401, 5551, 3215, 8315, 46740, 3565, 3096, 805, 294, 1804, 502, 4032, 5551, 24401, 5551, 4587, 9381, 7578, 46740, 3565, 3096, 568, 294, 1804, 502, 3714, 33599, 1829, 21542, 6027, 3660, 9122, 5172, 995, 10632, 13672, 1829, 43242, 8315, 4032, 9673, 5016, 46958, 25720, 25724, 47302, 16472, 13412, 16606, 21984, 4724, 29399, 4587, 1211, 30731, 3714, 2407, 11242, 45367, 5551, 34740, 13672, 1829, 37495, 22653, 1975, 5016, 8315, 6225, 2304, 20292, 14111, 995, 44713, 4117, 5172, 9957, 995, 9154, 3224, 13672, 1829, 31439, 4088, 293, 24136, 14642, 3714, 33599, 1829, 5551, 3615, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.28153668631107437, "compression_ratio": 1.6932773109243697, "no_speech_prob": 0.0, "words": [{"start": 2679.5, "end": 2680.04, "word": "أدنا", "probability": 0.6240234375}, {"start": 2680.04, "end": 2680.32, "word": " له", "probability": 0.51513671875}, {"start": 2680.32, "end": 2680.7, "word": " مثلًا", "probability": 0.6417312622070312}, {"start": 2680.7, "end": 2680.92, "word": " و", "probability": 0.5546875}, {"start": 2680.92, "end": 2681.54, "word": " أحد", "probability": 0.5579833984375}, {"start": 2681.54, "end": 2681.94, "word": " أدنا", "probability": 0.7989908854166666}, {"start": 2681.94, "end": 2682.16, "word": " له", "probability": 0.96533203125}, {"start": 2682.16, "end": 2682.5, "word": " log", "probability": 0.71337890625}, {"start": 2682.5, "end": 2683.5, "word": " base", "probability": 0.77001953125}, {"start": 2683.5, "end": 2683.7, "word": " 3", "probability": 0.52490234375}, {"start": 2683.7, "end": 2684.06, "word": " in", "probability": 0.55517578125}, {"start": 2684.06, "end": 2684.38, "word": " plus", "probability": 0.6572265625}, {"start": 2684.38, "end": 2684.64, "word": " 1", "probability": 0.46484375}, {"start": 2684.64, "end": 2685.4, "word": " و", "probability": 0.826171875}, {"start": 2685.4, "end": 2685.64, "word": " أحد", "probability": 0.837158203125}, {"start": 2685.64, "end": 2686.1, "word": " أقصى", "probability": 0.9583740234375}, {"start": 2686.1, "end": 2686.36, "word": " له", "probability": 0.5732421875}, {"start": 2686.36, "end": 2686.86, "word": " log", "probability": 0.97021484375}, {"start": 2686.86, "end": 2687.12, "word": " base", "probability": 0.90771484375}, {"start": 2687.12, "end": 2687.3, "word": " 2", "probability": 0.9404296875}, {"start": 2687.3, "end": 2687.56, "word": " in", "probability": 0.9462890625}, {"start": 2687.56, "end": 2687.9, "word": " plus", "probability": 0.9462890625}, {"start": 2687.9, "end": 2688.32, "word": " 1", "probability": 0.92333984375}, {"start": 2688.32, "end": 2689.16, "word": " ماشي", "probability": 0.64947509765625}, {"start": 2689.16, "end": 2690.18, "word": " الحالة", "probability": 0.6324869791666666}, {"start": 2690.18, "end": 2691.86, "word": " كفاية", "probability": 0.832275390625}, {"start": 2691.86, "end": 2692.28, "word": " اللي", "probability": 0.75341796875}, {"start": 2692.28, "end": 2692.62, "word": " عندنا", "probability": 0.95849609375}, {"start": 2692.62, "end": 2692.9, "word": " و", "probability": 0.5859375}, {"start": 2692.9, "end": 2693.62, "word": " المحاضرة", "probability": 0.9808349609375}, {"start": 2693.62, "end": 2693.88, "word": " الجاي", "probability": 0.3934326171875}, {"start": 2693.88, "end": 2694.0, "word": " ان", "probability": 0.65869140625}, {"start": 2694.0, "end": 2694.16, "word": " شاء", "probability": 0.973388671875}, {"start": 2694.16, "end": 2694.26, "word": " الله", "probability": 0.953125}, {"start": 2694.26, "end": 2695.52, "word": " بنتقل", "probability": 0.8243408203125}, {"start": 2695.52, "end": 2695.78, "word": " إلى", "probability": 0.53564453125}, {"start": 2695.78, "end": 2696.38, "word": " موضوع", "probability": 0.99609375}, {"start": 2696.38, "end": 2697.58, "word": " أخر", "probability": 0.750732421875}, {"start": 2697.58, "end": 2698.38, "word": " اللي", "probability": 0.788818359375}, {"start": 2698.38, "end": 2699.32, "word": " يعني", "probability": 0.7391357421875}, {"start": 2699.32, "end": 2699.5, "word": " احنا", "probability": 0.8577473958333334}, {"start": 2699.5, "end": 2700.12, "word": " عمليًا", "probability": 0.8623046875}, {"start": 2700.12, "end": 2701.44, "word": " استكفينا", "probability": 0.82705078125}, {"start": 2701.44, "end": 2701.74, "word": " منه", "probability": 0.981689453125}, {"start": 2701.74, "end": 2701.82, "word": " اللي", "probability": 0.89990234375}, {"start": 2701.82, "end": 2701.98, "word": " هو", "probability": 0.95556640625}, {"start": 2701.98, "end": 2702.44, "word": " transform", "probability": 0.45947265625}, {"start": 2702.44, "end": 2702.74, "word": " and", "probability": 0.91845703125}, {"start": 2702.74, "end": 2703.04, "word": " conquer", "probability": 0.96435546875}, {"start": 2703.04, "end": 2703.76, "word": " algorithms", "probability": 0.884765625}, {"start": 2703.76, "end": 2704.98, "word": " ماشي", "probability": 0.9031575520833334}, {"start": 2704.98, "end": 2705.34, "word": " أعطيكم", "probability": 0.835498046875}, {"start": 2705.34, "end": 2705.72, "word": " العافية", "probability": 0.9329427083333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2706.0535, "duration_after_vad": 2583.26062499999}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..837141cfb583389df063af09e00dec132b3a690f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/kzIDAvK8xgo_raw.srt
@@ -0,0 +1,2084 @@
+1
+00:00:20,670 --> 00:00:22,990
+بسم الله الرحمن الرحيم والصلاة والسلام علي الأشرف
+
+2
+00:00:22,990 --> 00:00:25,990
+والمسلم اليوم إن شاء الله بنكمل في موضوع transform
+
+3
+00:00:25,990 --> 00:00:29,430
+and conquer المحاضرة التالتة بناخد more examples
+
+4
+00:00:29,430 --> 00:00:33,690
+على كيف أنه we can transform ال problem أو ال
+
+5
+00:00:33,690 --> 00:00:38,730
+input بحيث أنه يصير التعامل مع المسألة أبسط فهذه
+
+6
+00:00:38,730 --> 00:00:46,170
+المحاضرة هنشوف ال searching problem في أنواع من
+
+7
+00:00:46,170 --> 00:00:50,030
+اللي هو ال search trees
+
+8
+00:00:51,110 --> 00:00:55,990
+في حاجة اسمة الـ AVAVL3
+
+9
+00:00:55,990 --> 00:01:03,840
+وفي حاجة اسمة الـ 2233هدول النوعين من الـ trees ال
+
+10
+00:01:03,840 --> 00:01:08,100
+algorithms بتتعامل مع ال input و بتحطهم في هذه ال
+
+11
+00:01:08,100 --> 00:01:13,280
+trees و بتحافظ على ال trees هذه بصيغة معينة بحيث
+
+12
+00:01:13,280 --> 00:01:17,580
+انه بعد هيك لو بدنا نعمل search او insert او
+
+13
+00:01:17,580 --> 00:01:21,260
+delete على ال tree بتكون العمل ايه ابسط طالما انه
+
+14
+00:01:21,260 --> 00:01:26,100
+ال algorithm حافظت على ال tree انها AVL او two to
+
+15
+00:01:26,100 --> 00:01:29,300
+three هنشوف الآن ايش يعني AVL treeوايش يعني two to
+
+16
+00:01:29,300 --> 00:01:33,920
+three اتري؟ جابل
+
+17
+00:01:33,920 --> 00:01:38,200
+ال searching بصفة عامة احنا الان نحكي عن search
+
+18
+00:01:38,200 --> 00:01:41,960
+trees بس ال search trees هذه موقعها من العراب ضمن
+
+19
+00:01:41,960 --> 00:01:48,070
+ال search problem عموما فيها ان احنافي أن الـ
+
+20
+00:01:48,070 --> 00:01:53,010
+algorithms بتتعامل مع الـ search problem ممكن تبقى
+
+21
+00:01:53,010 --> 00:01:56,870
+list search أو tree search أو hashing يعني لما
+
+22
+00:01:56,870 --> 00:02:01,210
+تبقى ال algorithm بتتعامل بتخزن البيانات ال data
+
+23
+00:02:01,210 --> 00:02:04,670
+في list فهي list و بتعمل بعدها ك searching عالي
+
+24
+00:02:04,670 --> 00:02:07,810
+على الأنصار في ال list فهي list searching في
+
+25
+00:02:07,810 --> 00:02:12,290
+algorithm بتخزن البيانات في tree فبتعمل tree
+
+26
+00:02:12,290 --> 00:02:18,160
+searchingوفيه algorithm بتعمل hash table وبتبحث
+
+27
+00:02:18,160 --> 00:02:22,160
+فيه ال hash okay فهدول التلات تصنيفات لل searching
+
+28
+00:02:22,160 --> 00:02:25,520
+algorithms عموما في list searching و tree
+
+29
+00:02:25,520 --> 00:02:29,740
+searching و hashing احنا الان نحكي في هذا الإطار
+
+30
+00:02:30,150 --> 00:02:33,790
+يعني الـ AVL و الـ 223 هدول و عبارة عن trees
+
+31
+00:02:33,790 --> 00:02:38,970
+تستخدم في اللي هو الـ Tree Searching Algorithms
+
+32
+00:02:38,970 --> 00:02:41,550
+الـ Tree Searching Algorithms هدول الـ two trees
+
+33
+00:02:41,550 --> 00:02:46,310
+بنقول continuously لازم ال algorithm يتحافظ على ال
+
+34
+00:02:46,310 --> 00:02:50,450
+tree إنها AVL ما تخرجش الشرط الأساسي تبعها و تحافظ
+
+35
+00:02:50,450 --> 00:02:55,350
+على إنها 223 عشان تعمل هذا الكلام دايما
+
+36
+00:02:55,350 --> 00:03:00,240
+continuously بتعملtransformation كل ما بدى ينضف
+
+37
+00:03:00,240 --> 00:03:06,060
+عنصر جديد أو ينحذف عنصر بدى يعاد في موضوع العناصر
+
+38
+00:03:06,060 --> 00:03:08,680
+في الـ Tree بحيث انها تبقى محافظة على الشرطة اللي
+
+39
+00:03:08,680 --> 00:03:15,440
+انا هشوفها للكلام قبل ال AVL و ال 223 ال binary
+
+40
+00:03:15,440 --> 00:03:19,400
+search tree اما احنا بنقول binary كلمة binary يعني
+
+41
+00:03:19,400 --> 00:03:22,660
+اثنائي وين الاثنائية هنا في الموضوع ان ال node
+
+42
+00:03:22,660 --> 00:03:27,780
+الواحدة لها maximum two childrenmaximum من هنا جاي
+
+43
+00:03:27,780 --> 00:03:32,460
+انها binary ال node الواحدة نعتبرها key و بيبقى في
+
+44
+00:03:32,460 --> 00:03:37,740
+عندي القيم ال children اللي على شمال ال node هذه
+
+45
+00:03:37,740 --> 00:03:41,440
+متفرعين من ال left child و عندي ال right child
+
+46
+00:03:41,440 --> 00:03:47,200
+اللي على شمال بيكونوا ال values تبعتهم اصغر من ال
+
+47
+00:03:47,200 --> 00:03:50,140
+value تبع ال root و اللي على اليمين بيبقى اكبر
+
+48
+00:03:50,140 --> 00:03:54,700
+okay ففي هذا انه في ال binary search trees
+
+49
+00:03:58,320 --> 00:04:03,540
+الـ binary search trees لما
+
+50
+00:04:03,540 --> 00:04:08,000
+انا بدي استخدم binary search tree خلي بالك ان احنا
+
+51
+00:04:08,000 --> 00:04:12,020
+ايه ما لسه ماحكيناش عن ال AVL AVL هي نوع من أنواع
+
+52
+00:04:12,020 --> 00:04:13,620
+ال binary فاحنا بنمهد شوية
+
+53
+00:04:16,970 --> 00:04:19,550
+الـ binary search tree لو أنا بدأ استخدمها لتخزين
+
+54
+00:04:19,550 --> 00:04:25,250
+مثل هذه البيانات أول إشي بدي يجي الخمسة بنعملها
+
+55
+00:04:25,250 --> 00:04:28,710
+node بنعملها node لحالها بعد كده بدي تيجي التلاتة
+
+56
+00:04:28,710 --> 00:04:32,450
+فإيش بناء على مفهوم ال binary search tree بدي تيجي
+
+57
+00:04:32,450 --> 00:04:35,870
+التلاتة على الشمال لأنها أزرع بعد كده تدخل الواحد
+
+58
+00:04:35,870 --> 00:04:39,570
+بدي تيجي الواحد على الشمال بعد كده تيجي من العشرة
+
+59
+00:04:39,570 --> 00:04:43,490
+العشرة أكبر بتيجي على اليمين بعدين الأتناش برضه
+
+60
+00:04:43,490 --> 00:04:49,210
+بتيجي على اليمينبعدين السابعة بتيجي اكبر من الخمسة
+
+61
+00:04:49,210 --> 00:04:55,610
+اصغر من العشرة بتيجي هنا وبعدين التسعة بتيجي اصغر
+
+62
+00:04:55,610 --> 00:05:01,210
+على يمين السابعة بعدين ايش خلاص تمام ال
+
+63
+00:05:01,210 --> 00:05:04,290
+arrangement
+
+64
+00:05:04,290 --> 00:05:09,070
+هذه بتساعد في ال search انه لما انا عند قيمة بتبحث
+
+65
+00:05:09,070 --> 00:05:14,400
+عنها بتطلع يمين او شمال حسب ال valueالـ search دا
+
+66
+00:05:14,400 --> 00:05:17,380
+قد يكون الـ search لإيجاد العنصر أو قد يكون الـ
+
+67
+00:05:17,380 --> 00:05:20,780
+search لـ delete العنصر يعني ممكن أكون أنا ببحث عن
+
+68
+00:05:20,780 --> 00:05:26,000
+السبعة عشان بدي أشيلها فببحث صح بعد ما لاجيها بروح
+
+69
+00:05:26,000 --> 00:05:29,240
+بشيلها إذا شيلتها مانتوا بدي أعيدوا تربيط ال
+
+70
+00:05:29,240 --> 00:05:35,660
+pointers okay يعني قصد أقول إنه عملية الـ searchهي
+
+71
+00:05:35,660 --> 00:05:39,200
+قد تكون عملية مطلوبة في حد ذاته أو قد تكون مقدمة
+
+72
+00:05:39,200 --> 00:05:44,440
+لعملية أخرى Delete أو .. أو ربما Insert بدي أضيف
+
+73
+00:05:44,440 --> 00:05:47,420
+.. فبدي أعمل sash عشان أشوف وين المكان اللي بدي
+
+74
+00:05:47,420 --> 00:05:51,340
+أضيفه طيب، الآن نحكي عن الـ AVL الـ AVL هي عبارة
+
+75
+00:05:51,340 --> 00:05:57,040
+عن binary search tree بس بتاعة شرط أساسي وهو إنه
+
+76
+00:05:57,040 --> 00:06:04,320
+في حاجة اسم الـ Balance Factor نعم الاسم؟
+
+77
+00:06:04,840 --> 00:06:12,880
+AVL كان فيه سؤال ولا .. تمام الاسم ال AVL جاي من
+
+78
+00:06:12,880 --> 00:06:18,480
+اسم الأشخاص اللي هم عملوه وصمموه ال balance factor
+
+79
+00:06:18,480 --> 00:06:24,820
+هو عبارة عن الفرق ما بين ارتفاع ال subtree الشمال
+
+80
+00:06:24,820 --> 00:06:28,850
+يعني عند أي nodeالـ balance factor عند أي node هو
+
+81
+00:06:28,850 --> 00:06:35,490
+الفرق ما بين ارتفاع الـ sub tree الشمال واليامين
+
+82
+00:06:35,490 --> 00:06:41,050
+يعني مثلا هنا ال sub tree الشمال كداش ارتفاعها ايش
+
+83
+00:06:41,050 --> 00:06:47,770
+عن ارتفاعها يعني اكم level كداش اتنين وهذه اكم
+
+84
+00:06:47,770 --> 00:06:48,090
+level
+
+85
+00:06:52,200 --> 00:06:56,700
+تلاتة تمام اتنين ناقص تلاتة ناقص واحد هذا ال
+
+86
+00:06:56,700 --> 00:07:01,100
+balance factor الان هنا لو انا بدى احسب لل node
+
+87
+00:07:01,100 --> 00:07:05,260
+هذه ال balance factor تبعها واحد ناقص زيرو واحد
+
+88
+00:07:05,260 --> 00:07:14,140
+هذه ال balance factor تبعها زيرو هذه سالب واحد هذه
+
+89
+00:07:14,140 --> 00:07:20,520
+هذه عشرة اه استنى شوية هذه اتناشرzero صح وهذه تسعة
+
+90
+00:07:20,520 --> 00:07:34,440
+zero صح هذه الآن العشرة نقص
+
+91
+00:07:34,440 --> 00:07:40,260
+واحد لا أخبرك أنك لا تخرج من ال zero هذا لا نخرج
+
+92
+00:07:40,260 --> 00:07:47,780
+من ال bands factors نخرج من الارتفاع واحد تمامالأن
+
+93
+00:07:47,780 --> 00:07:52,740
+الـ AVL Tree هي الـ Tree Binarity شرطها إن الـ
+
+94
+00:07:52,740 --> 00:07:57,420
+Balance Factor تبع أي نود لا يتجاوز الـ plus أو
+
+95
+00:07:57,420 --> 00:08:02,420
+الـ minus one يعني ممكن يبقى Zero ممكن يبقى ميل
+
+96
+00:08:02,420 --> 00:08:05,780
+على الشمال بواحد ميل على اليمين بواحد إنما مايبعدش
+
+97
+00:08:05,780 --> 00:08:09,920
+عنيك حسب
+
+98
+00:08:09,920 --> 00:08:14,000
+ارتفاع الـ Sub Tree مش قيمة حتى بارتفاع الجناح
+
+99
+00:08:14,000 --> 00:08:19,840
+اليمين والجناح الشمال صح؟اسمه Balance Factor بدنا
+
+100
+00:08:19,840 --> 00:08:22,900
+ياها تبجى Balanced للـ Tree إيش يعني Balanced؟ مش
+
+101
+00:08:22,900 --> 00:08:27,640
+بالضرورة .. مش بالظبط Zero Zero يعني نفس الارتفاع
+
+102
+00:08:27,640 --> 00:08:30,960
+على اليمين هو نفسه الارتفاع الشمالي لأ متسامحين
+
+103
+00:08:30,960 --> 00:08:37,320
+بمقدار واحد إنه تبجى هذه أو هذه أطول من الأخرى بـ
+
+104
+00:08:37,320 --> 00:08:41,640
+one ما تبجيش باتنين أو بكتر من واحد okay فالآن
+
+105
+00:08:41,640 --> 00:08:46,990
+احناعشان احافظ على هذا الكلام معناه ذلك لتري لو
+
+106
+00:08:46,990 --> 00:08:53,130
+انا بعديك اجانب مثلا ال value 11 اين
+
+107
+00:08:53,130 --> 00:09:03,630
+بحطه؟ بحطه هنا لأ بلاش طيب ماشي 11 هذه شويه مسكرة
+
+108
+00:09:03,630 --> 00:09:11,310
+بدي احط ال .. بدي احط خليني اقول احط ايش اكبر من
+
+109
+00:09:11,310 --> 00:09:20,620
+ال 12الـ 13 ده هحط الـ 20 ده هحط مثلا .. اقول هنا
+
+110
+00:09:20,620 --> 00:09:26,600
+الـ 15 و هنا الـ 20 بدت الـ tree تصبح not balanced
+
+111
+00:09:26,600 --> 00:09:33,200
+.. imbalanced فال algorithm اللي بتستخدم AVL tree
+
+112
+00:09:33,200 --> 00:09:37,600
+لازم باستمرار كل ما بديهيجي عنصر جديد تفحص ال
+
+113
+00:09:37,600 --> 00:09:44,810
+balanceوإذا بده يفلت تعمل نوع من التغيير على وضعية
+
+114
+00:09:44,810 --> 00:09:49,970
+ال nodes عشان تحافظ على ال balance التغيير اللي
+
+115
+00:09:49,970 --> 00:09:53,490
+بدي أحصل هو عادة نعمله ال rotation
+
+116
+00:10:01,440 --> 00:10:05,520
+بنعمل rotation أولا هذا ال example اللي هنا بيقول
+
+117
+00:10:05,520 --> 00:10:08,980
+لي إنه هذه is an AVL tree يعني أنا ممكن أجي أسألك
+
+118
+00:10:08,980 --> 00:10:15,900
+أقولك هذه ال tree AVL ولا لأ هذه AVL أه ليش لأنه
+
+119
+00:10:15,900 --> 00:10:19,340
+طلع هذا ال balance factors تبقى بكل ال nodes لا
+
+120
+00:10:19,340 --> 00:10:23,600
+تتجاوز ال absolute value تبع الواحد لا تتجاوز plus
+
+121
+00:10:23,600 --> 00:10:29,420
+و minus one بينما هذه ال tree مش AVL ليش لأنه عند
+
+122
+00:10:29,420 --> 00:10:37,190
+هذه ال rootأه اتجاوز okay الآن بدنا نحكي في إيش في
+
+123
+00:10:37,190 --> 00:10:41,010
+إيش اللي بدها تعملوا ال algorithm عشان تحافظ علي
+
+124
+00:10:41,010 --> 00:10:46,470
+ال tree AVL تحافظ عليها AVL tree في عملية أساسية
+
+125
+00:10:46,470 --> 00:10:48,650
+اللي هي عملية ال rotation بس ال rotation هذه في
+
+126
+00:10:48,650 --> 00:10:52,410
+منها أربع أنواع okay نعم
+
+127
+00:10:54,990 --> 00:11:00,510
+أنواع الـ rotations هما أربعة بس أنا بدي أجسمهم
+
+128
+00:11:00,510 --> 00:11:05,170
+إلى جسمين في ال right و ال left هاي نوعينو في ال
+
+129
+00:11:05,170 --> 00:11:09,710
+right left و ال left right هاي النوعين التانية
+
+130
+00:11:09,710 --> 00:11:13,670
+حاطيتهم مع بعض هيك لإن كل واحد منهم عكس التاني
+
+131
+00:11:13,670 --> 00:11:17,170
+يعني ال left و ال right عكس بعض ال RL و ال LR عكس
+
+132
+00:11:17,170 --> 00:11:21,370
+بعض لما نفهم واحد تلقاه نفهم التاني شو يعني الأول
+
+133
+00:11:21,370 --> 00:11:24,750
+يعني هذا ال right ال right rotation لما يكون في
+
+134
+00:11:24,750 --> 00:11:31,680
+عنديوضعية زي هيك شوفتوا الوضعية اللي هنا هذه عبارة
+
+135
+00:11:31,680 --> 00:11:38,140
+عن انه ال tree قاعدة منحازة إلى ناحية الأمين أو
+
+136
+00:11:38,140 --> 00:11:44,880
+ميلة على الشق اليمين الشق اليمين تبعها أطول بيزداد
+
+137
+00:11:44,880 --> 00:11:50,500
+في الطول أكتر بكتير من الشمال هنا الشق الشمال
+
+138
+00:11:50,500 --> 00:11:57,290
+واليمين مافيش شيءتمام هذا عامل imbalance عامل عدم
+
+139
+00:11:57,290 --> 00:12:02,730
+توازن هي على ال node هي دي okay في عندي ال balance
+
+140
+00:12:02,730 --> 00:12:07,440
+factor اتنينمن ناحية انها binary tree ولا لا هي
+
+141
+00:12:07,440 --> 00:12:10,440
+binary ال node الواحدة عدد ال children تبعها لا
+
+142
+00:12:10,440 --> 00:12:16,080
+يتجاوز ال two هي binary لكنها مش AVL لأنه ال
+
+143
+00:12:16,080 --> 00:12:19,960
+balance factor تبع التلاتة يسوى اتنين فانا عشان
+
+144
+00:12:19,960 --> 00:12:25,600
+اعدلها بقدر اعمل rotation انهي ال rotation بقدر
+
+145
+00:12:25,600 --> 00:12:29,060
+اعمل right rotation ال right rotation تخيلي انه
+
+146
+00:12:29,060 --> 00:12:33,400
+بعمل زي هيك right rotationالـ right rotation
+
+147
+00:12:33,400 --> 00:12:38,920
+بستخدمه في الوضعية هذه ان يكون في تلاتة nodes
+
+148
+00:12:38,920 --> 00:12:47,460
+جايين ميلين لليمين والعكس منهم لما يكونوا ميلين
+
+149
+00:12:47,460 --> 00:12:51,900
+لشمال زي هيكة وحينين تبقى اعمل left rotation خلينا
+
+150
+00:12:51,900 --> 00:12:53,800
+نشوف في ال right rotation ايش اللي بيحصل في ال
+
+151
+00:12:53,800 --> 00:12:58,080
+right rotation اسمه rotation لأنه انا برفع هدولة
+
+152
+00:12:58,080 --> 00:13:05,160
+هيك و بعدينبعمل لل node اللي فوق بنزلها فاللي بحصل
+
+153
+00:13:05,160 --> 00:13:11,300
+أنه الواحد هتيجي هنا الواحد هتيجي هنا الاتنين
+
+154
+00:13:11,300 --> 00:13:15,860
+هتطلع فوق صح التلاتة اللي هي طارت في الهواء اللي
+
+155
+00:13:15,860 --> 00:13:20,160
+قادمة تنزل okay
+
+156
+00:13:20,160 --> 00:13:27,040
+فصار عندي هاي الواحد التانين في النص والواحد
+
+157
+00:13:27,040 --> 00:13:30,720
+أشمالها والتلاتة أعلىيعني الـ balance factor تبع
+
+158
+00:13:30,720 --> 00:13:36,000
+ال nodes الان هيتوا zeros هنا فيش .. فيش .. يوجد
+
+159
+00:13:36,000 --> 00:13:40,060
+zero فيش يمين فيش شمال zero هنا هذه فيها واحد يمين
+
+160
+00:13:40,060 --> 00:13:43,280
+وواحد شمالي بال difference zero صح فصارت ايه اش
+
+161
+00:13:43,280 --> 00:13:48,280
+AVL هذا اسمه ال right rotation لو بدى اعمل left
+
+162
+00:13:48,280 --> 00:13:52,820
+rotation عندي وضعية زي هيكة لو بدى اعمل left
+
+163
+00:13:52,820 --> 00:13:58,770
+rotation هروح ايه اش اطلع هذا لفوق هتيجيبقولي مثلا
+
+164
+00:13:58,770 --> 00:14:03,110
+هاي الـ 12 و هاي الـ 15 و هاي الـ 20 هتيجي الـ 15
+
+165
+00:14:03,110 --> 00:14:07,270
+هي في النص وهذا أصلا الطبيعي يعني أنا لما ببص
+
+166
+00:14:07,270 --> 00:14:14,590
+عليهم 12 و 15 و 20 مين القيمة اللي في الوسط مين
+
+167
+00:14:14,590 --> 00:14:17,470
+القيمة المتوسطة ما بين التلاتة اللي هي الـ 15 فهي
+
+168
+00:14:17,470 --> 00:14:21,650
+الطبيعي هتيجي root وعشمالها اللي هدا 12 وعلى مينها
+
+169
+00:14:21,650 --> 00:14:26,890
+الـ 20 okay الان
+
+170
+00:14:28,970 --> 00:14:32,330
+هذا الار ماحكيناش فيه الان احنا حكينا في ال right
+
+171
+00:14:32,330 --> 00:14:38,290
+وعكسه اللي هو ال left الاتنين التانين اللي هو RL و
+
+172
+00:14:38,290 --> 00:14:41,770
+LR خليني أطلع في ال LR في الأول في ال LR بيبقى
+
+173
+00:14:41,770 --> 00:14:48,470
+عندي الوضيع جاي زي هيك okay بستخدم ال LR لما تبقى
+
+174
+00:14:48,470 --> 00:14:52,230
+وضعية ال notes جاي زي هيك بيبقى في عندي imbalance
+
+175
+00:14:52,230 --> 00:14:59,140
+imbalance ليش؟ لأنهالـ three اللي على الشمال و الـ
+
+176
+00:14:59,140 --> 00:15:02,400
+three اللي على اليمين هذي zero وهذه two levels
+
+177
+00:15:02,400 --> 00:15:07,640
+اتنين نقص واقع صفر اتنين okay بس مش اتنين لأنه
+
+178
+00:15:07,640 --> 00:15:10,460
+كلهم منحزين على الشمال لأ اتنين لأنه في عندي هنا
+
+179
+00:15:10,460 --> 00:15:14,100
+شمال و هذا الشمال له يمين مش حاجة جديدة المهم انه
+
+180
+00:15:14,100 --> 00:15:17,460
+كيف انا بدي اعالج الأمر هذا بعالجه بال left right
+
+181
+00:15:17,460 --> 00:15:20,960
+ال left right يعني بطبق left في الأول و بعدين بطبق
+
+182
+00:15:20,960 --> 00:15:24,990
+rightو اين بطبق ال lift؟ بطبق ال lift على الشق
+
+183
+00:15:24,990 --> 00:15:30,150
+المائل على الشمال تذكروا دائما بعمل left rotation
+
+184
+00:15:30,150 --> 00:15:33,170
+لما يبقى فيا اندي ميل left بعمل right rotation لما
+
+185
+00:15:33,170 --> 00:15:38,930
+يبقى فيا اندي ميل right فهذا الشق مائل left وهذا
+
+186
+00:15:38,930 --> 00:15:41,770
+الشق مائل right بعمل ال left rotation على هذا الشق
+
+187
+00:15:41,770 --> 00:15:47,730
+لما نعمل left rotation لهدوله ايش اللي بصير؟بتيجي
+
+188
+00:15:47,730 --> 00:15:51,490
+الاتنين هذه بتطلع فوق وبتيجي الاتنين هنا وبعدين
+
+189
+00:15:51,490 --> 00:15:59,730
+الواحد بتنزل لتحت صاروا ايش؟ تلاتة اتنين واحد واضح
+
+190
+00:15:59,730 --> 00:16:05,430
+كيف هذه نتجت عن هذه بفعل ال left rotation على هذه
+
+191
+00:16:05,430 --> 00:16:10,810
+ال edge هذه ال edge بسي اللي طبقت عليها left
+
+192
+00:16:10,810 --> 00:16:13,970
+rotation لما عملت left rotation طلعت الاتنين ونزلت
+
+193
+00:16:13,970 --> 00:16:18,390
+الواحد okayالـ answer عند الوضعية هادى اللى هى
+
+194
+00:16:18,390 --> 00:16:23,930
+هادى بقدر اعمل right rotation للكل بتطلع الاتنين
+
+195
+00:16:23,930 --> 00:16:29,930
+فوق و الواحد ع الشمال و التلاتة على اليمين okay
+
+196
+00:16:29,930 --> 00:16:34,190
+left rotate left right يعني اول شي left و بعدين
+
+197
+00:16:34,190 --> 00:16:40,950
+rightوالعكس منه لو عندي العكس منه اللي هو ال RL ال
+
+198
+00:16:40,950 --> 00:16:45,450
+RL بتكون وضعية ال nodes زي العكس هذه بتطبق عليها
+
+199
+00:16:45,450 --> 00:16:48,810
+ال left and right هذه بتطبق عليها ال RL بروح بعمل
+
+200
+00:16:48,810 --> 00:16:52,710
+ال right في الأول على main على ال edge هذه بتطلع
+
+201
+00:16:52,710 --> 00:16:56,150
+هذه ال node فوق وهذه ال node اللي كانت في الأول
+
+202
+00:16:56,150 --> 00:17:02,910
+بتنزل تحت صار عايش عندي diagonal على الشمال بروح
+
+203
+00:17:02,910 --> 00:17:07,270
+بعمل left rotationبعمل left بعد ما عملت ال R بعمل
+
+204
+00:17:07,270 --> 00:17:11,390
+ال left الآن تطلع هد فوق وهد النود بتيجي الشمال
+
+205
+00:17:11,390 --> 00:17:18,210
+وهد بتيجي يمين okay هد
+
+206
+00:17:18,210 --> 00:17:24,550
+في النهاية هي مجمول الأربع rotation operations هي
+
+207
+00:17:24,550 --> 00:17:29,530
+اللي بتستخدمهم ال algorithm في إعادة ضبط ال tree
+
+208
+00:17:29,530 --> 00:17:35,060
+عشان تحافظ على إنها AVL AVL balancedمتى بتعمل هذا
+
+209
+00:17:35,060 --> 00:17:42,040
+الكلام؟ كل ما يدخل تطرق عملية إضافة أو حذف على ال
+
+210
+00:17:42,040 --> 00:17:47,300
+tree تتسبب في الإخلال بال balance عملية إضافة،
+
+211
+00:17:47,300 --> 00:17:52,760
+node جديدة أو حذف ل node موجودة تتسبب في الإخلال
+
+212
+00:17:52,760 --> 00:17:57,220
+بال balance بدها تروح ال algorithm تعمل ال
+
+213
+00:17:57,220 --> 00:17:58,280
+rotations هذه
+
+214
+00:18:01,990 --> 00:18:06,670
+في .. في عندي general case اللي هي انه احنا لما
+
+215
+00:18:06,670 --> 00:18:14,690
+حكينا تويه كانوا notes لحالهم طب ماذا لو انه ال
+
+216
+00:18:14,690 --> 00:18:19,470
+balance ال imbalance هذا ال imbalance اللي هنا جاي
+
+217
+00:18:19,470 --> 00:18:23,870
+بسبب هدول التلاتة بس okay هدول التلاتة في اشي مربط
+
+218
+00:18:23,870 --> 00:18:29,730
+مشانشال معاهم يعني هذه هذه
+
+219
+00:18:29,730 --> 00:18:30,450
+هيك
+
+220
+00:18:32,850 --> 00:18:40,230
+هدولة هادي في عندى هنا اشي متفرق منها فانا لما بدى
+
+221
+00:18:40,230 --> 00:18:44,170
+اعمل rotation للتلاتة هدولة بدى اشوف ايش وضاية
+
+222
+00:18:44,170 --> 00:18:51,030
+المربطين معاهم يعني باختصار اللى هو انه هيعدي
+
+223
+00:18:51,030 --> 00:18:59,010
+الحالات ال general case انه انا بكون في عندى هادي
+
+224
+00:18:59,010 --> 00:19:05,320
+و هادي و كمان جولي هادي عاملينفي انبالاس على ال
+
+225
+00:19:05,320 --> 00:19:11,500
+node هذه انه والله على اليمين الارتفاعأقصر من
+
+226
+00:19:11,500 --> 00:19:17,020
+الارتفاع اللي على الشمال هذا اطول من هذا الجهة او
+
+227
+00:19:17,020 --> 00:19:20,600
+هذا الجناح اطول من هذا الجناح بيه على الأقل اتنين
+
+228
+00:19:20,600 --> 00:19:25,020
+ممكن اكتر الان ايش ده ساوي بدي ا .. بدي اعدل الوضع
+
+229
+00:19:25,020 --> 00:19:28,660
+هذه بالاش بال right rotation single right rotation
+
+230
+00:19:28,660 --> 00:19:31,740
+ال single right rotation دي ترتب عليه ايش ان ال C
+
+231
+00:19:31,740 --> 00:19:37,540
+هذه بتصير هي ال route صح عشان انا عندي هايودعم الـ
+
+232
+00:19:37,540 --> 00:19:40,100
+Right Rotation الـ C بدأ تطلع فوق الوسط هذا الـ
+
+233
+00:19:40,100 --> 00:19:44,160
+Center بدأ تطلع فوق والـ R بدأ تيجي تحت واللي على
+
+234
+00:19:44,160 --> 00:19:49,280
+الشمال بده يضل على الشمال صح؟ اه طيب الآن هذا اللي
+
+235
+00:19:49,280 --> 00:19:51,800
+على الشمال اللي انا افترض ان في عندي انا sub tree
+
+236
+00:19:51,800 --> 00:19:57,100
+هنا و sub tree هنا و sub tree هنا هي ال sub tree
+
+237
+00:19:57,100 --> 00:20:02,820
+T1, T2, T3 شو اللي هيحصل؟ هذه ال tree T3 اللي هي
+
+238
+00:20:02,820 --> 00:20:09,750
+على يمين الـ R بده تضل معاهايعني ال R نزلت ل تري
+
+239
+00:20:09,750 --> 00:20:15,490
+T3 بالاصل هي على يمين ال R بتنزل معاها على يمينها
+
+240
+00:20:15,490 --> 00:20:20,790
+و ل تري هذه T1 اللي على شمال ال C بالاصل بتضلها
+
+241
+00:20:20,790 --> 00:20:25,910
+برضه على شمال ال C في
+
+242
+00:20:25,910 --> 00:20:30,710
+ال result بس T2 الآن إيش بيصير فيها؟T2 كانت على
+
+243
+00:20:30,710 --> 00:20:34,990
+يمين الـC لأن الـC على يمينها في هذا النوت ماقدرش
+
+244
+00:20:34,990 --> 00:20:41,190
+أحط T2 برضه على يمين الـC و اللي صارت إيهاش مش
+
+245
+00:20:41,190 --> 00:20:49,870
+binary بس وكانها الطبيعي T2 لأنها T2 أكبر من C و
+
+246
+00:20:49,870 --> 00:20:55,130
+في نفس الوقت أصغر من R فمكانها الطبيعي نتيجي على
+
+247
+00:20:55,130 --> 00:20:55,810
+شمال الـR
+
+248
+00:20:58,990 --> 00:21:04,410
+فالـ T2 هذه بعد عملية الـ rotation لازم تنتجل كلها
+
+249
+00:21:04,410 --> 00:21:09,410
+الـ sub-tree هذه كلها sub-tree هي point واحد بفكه
+
+250
+00:21:09,410 --> 00:21:15,250
+من هنا و بحطه على شمال
+
+251
+00:21:15,250 --> 00:21:20,690
+الـ R و
+
+252
+00:21:20,690 --> 00:21:24,980
+نفس الاشي لو ده عمل left rotationهتبقى بضه في T2
+
+253
+00:21:24,980 --> 00:21:30,280
+في النص بده ارحلها بدل ما هي تاب على الـC على يمين
+
+254
+00:21:30,280 --> 00:21:35,700
+الـC للـC وعلى شمال الـR الان لو عندي بدي اعمل
+
+255
+00:21:35,700 --> 00:21:40,440
+double rotation LR او RL شايف كيف ممكن يبقى عندي
+
+256
+00:21:40,440 --> 00:21:47,420
+حاجة زي هيك double
+
+257
+00:21:47,420 --> 00:21:51,840
+rotation الخلال جاي بكون بسبب هذا
+
+258
+00:21:56,160 --> 00:22:03,900
+فانا هعمل left rotation أطلع ال G لفوق هاي ال R
+
+259
+00:22:03,900 --> 00:22:09,540
+وهي ال C وهي ال G قولولي كيف أسوي ال R rotation
+
+260
+00:22:09,540 --> 00:22:15,320
+على هدول التلت مراكز أو التلت محاور بتعمل left مش
+
+261
+00:22:15,320 --> 00:22:18,420
+بنقول ال R يعني ال left في الأول على مين على هذه
+
+262
+00:22:18,420 --> 00:22:23,420
+الميلي على الشمال فإيش بينتج عنه أنه تطلع ال G فوق
+
+263
+00:22:24,110 --> 00:22:29,430
+الـ C بتنزل تحت صح بيصير عند الوضع هذه اللي اعمل
+
+264
+00:22:29,430 --> 00:22:34,050
+عليها مين ال right rotation بيصير ال G لان فوق و
+
+265
+00:22:34,050 --> 00:22:39,530
+ال R على اليمين و ال C على الشمال okay هذا الوضع
+
+266
+00:22:39,530 --> 00:22:45,090
+صح الان ماذا عن اللي هو sub trees T1,T2,T3,T4 T1
+
+267
+00:22:45,090 --> 00:22:49,820
+اللي على شمال ال C هتضلها على شمال ال CT4 اللي على
+
+268
+00:22:49,820 --> 00:22:54,600
+يمين الـ R هتظلها على يمين الـ R لأن ماذا عن هذولا
+
+269
+00:22:54,600 --> 00:22:57,960
+التنين هذولا التنين فقدوا ال parent تبعهم لأن ال
+
+270
+00:22:57,960 --> 00:23:02,280
+parent تبعهم صار ال root و صار ال children تبعهم و
+
+271
+00:23:02,280 --> 00:23:08,720
+هم ال C و ال R وين بدهم يروحوا بسيطة بسيطة هذا ال
+
+272
+00:23:08,720 --> 00:23:16,360
+T2 جاي على يمين ال C صح بيروح على يمين ال C هل في
+
+273
+00:23:16,360 --> 00:23:23,780
+وسع على يمين ال Cفي الجديدة نعم بروح عليه وهذا T3
+
+274
+00:23:23,780 --> 00:23:31,800
+جاي أصلا أقل من R هل في وسع أحطه على شمال الـ R
+
+275
+00:23:31,800 --> 00:23:39,760
+نعم مظبوط فهذا ال general case انه بعد ما أعمل ال
+
+276
+00:23:39,760 --> 00:23:44,280
+rotation بدي أعيد نقل أو بدي أنجل ال sub trees هذه
+
+277
+00:23:44,280 --> 00:23:54,960
+هيبقى كل واحدة مكانهاإلها مكان متاح واضح
+
+278
+00:23:54,960 --> 00:23:58,680
+الـ T2 ليش مسموحها تنتجل على يمين الـ C لأن هي
+
+279
+00:23:58,680 --> 00:24:03,660
+أصلا أصلا وين جاية مش جاية في ال sub في G اللي هي
+
+280
+00:24:03,660 --> 00:24:08,500
+يمين الـ C فلو أنا شيلتها عن الـ G وحطتها مباشرة
+
+281
+00:24:08,500 --> 00:24:14,000
+على الـ C مافرجش okay
+
+282
+00:24:14,000 --> 00:24:21,430
+طيبنشوف هذا الكلام بشكل عملي في المثال هذا المطلوب
+
+283
+00:24:21,430 --> 00:24:25,870
+هنا الآن أنه نبني الـ Tree step by step بداية من
+
+284
+00:24:25,870 --> 00:24:30,970
+أول node بدأ تيجي اللي هي الخمسة أجه الخمسة بعدين
+
+285
+00:24:30,970 --> 00:24:34,490
+تيجي الستة التمانية كل node بدأ تيجي كل value بدأ
+
+286
+00:24:34,490 --> 00:24:39,030
+يجي بدأ أعمله node وأشبكه في الـ Tree بس أحافظ على
+
+287
+00:24:39,030 --> 00:24:42,710
+ال balance الخمسة هذه الـ Tree كلها مجرد الخمسة
+
+288
+00:24:42,710 --> 00:24:47,170
+الآن بدأ تيجيالـ 6 من الطبيعية هيتيجي على يمين
+
+289
+00:24:47,170 --> 00:24:51,890
+حطناها هل في أي مشكلة؟ لأ الـ Balance هنا Zero
+
+290
+00:24:51,890 --> 00:24:58,850
+وهنا صار نقص واحد مافيش اي مشكلة صح؟ لأن اني
+
+291
+00:24:58,850 --> 00:25:04,150
+بنتيجي التمانية التمانية لما بنتيجي بنتيجي هنا صح؟
+
+292
+00:25:04,150 --> 00:25:08,130
+لكن هذا الأمر الآن هنا Zero هنا طبعا هذه نقص واحد
+
+293
+00:25:08,130 --> 00:25:12,290
+هنا بتصير هذه نقص اتنين نقص اتنين هذا ايش؟ ليش نقص
+
+294
+00:25:12,290 --> 00:25:17,330
+اتنين؟لأنه على يمين الخمسة الارتفاع هيصير اتنين
+
+295
+00:25:17,330 --> 00:25:20,930
+وعشمالها الارتفاع Zero Zero نقص اتنين نقص اتنين صح
+
+296
+00:25:20,930 --> 00:25:28,910
+فهذا الخلل هذا الخلل بتتعالج كيف Left
+
+297
+00:25:28,910 --> 00:25:34,250
+rotation مصبوط Left rotation بترتب عليه الست بتطلع
+
+298
+00:25:34,250 --> 00:25:39,290
+فوق و الخمسة عشمالها و التمانية على يمينها okay
+
+299
+00:25:41,310 --> 00:25:45,030
+اللي انا بضيفه تلاتة تلاتة لو ضيفها مباشرة ده تيجي
+
+300
+00:25:45,030 --> 00:25:51,810
+هنا هتعمل ليه مشكلة لأ مش هتعمل مشكلة لأن هنا على
+
+301
+00:25:51,810 --> 00:25:55,590
+شمال الست هيصير الارتفاع اتنين وعلى يمينها واحد
+
+302
+00:25:55,590 --> 00:25:59,090
+اتنين ناقص واحد واحد صح فبنحطها
+
+303
+00:26:07,150 --> 00:26:11,410
+تمام؟ ايه واحد هذه الـ zero هذه واحد هذه الـ zero
+
+304
+00:26:11,410 --> 00:26:16,250
+تمام؟ الآن بيجي دور مين اللي هو التنين التنين لما
+
+305
+00:26:16,250 --> 00:26:20,630
+تتيجي تتيجي هنا هنا بيصير فيه مشكلة صح؟ بيصير ان
+
+306
+00:26:20,630 --> 00:26:23,990
+دي هذه ال balance تبعها ال factor تبعها zero هذه
+
+307
+00:26:23,990 --> 00:26:31,450
+one هذه اتنينصح؟ اتنين نقص صفر هذه تلاتة نقص واحد
+
+308
+00:26:31,450 --> 00:26:34,630
+هنا zero أيه نعم تلاتة نقص تلاتة على الجانب هذا
+
+309
+00:26:34,630 --> 00:26:38,070
+وتلاتة واحد هنا يصبحين اتنين الان بدي اعالج اللي
+
+310
+00:26:38,070 --> 00:26:43,830
+هو ال .. ال .. ال .. الانحياز ال shift اللي عن
+
+311
+00:26:43,830 --> 00:26:47,010
+ناحية هذه او ال toggle اللي عن ناحية هذه فبدي اخد
+
+312
+00:26:47,010 --> 00:26:54,010
+مين هدوله عملهم ايش shift right right rotation
+
+313
+00:26:55,000 --> 00:26:57,800
+right rotation ايش اللي بدي يصير الخمسة بدي تطلع
+
+314
+00:26:57,800 --> 00:27:04,040
+فوق الخمسة بدي تيجي الستة تيجي التمانية بعد هيك
+
+315
+00:27:04,040 --> 00:27:16,160
+بعدين التلاتة والتنين هيك مظبوط اين
+
+316
+00:27:16,160 --> 00:27:25,590
+انا لأ احنا وين احنا sorryأحنا وصلنا هذه .. لأ هيك
+
+317
+00:27:25,590 --> 00:27:31,630
+مش مظبوط المفروض تطلع الستة .. ليه؟ ناخد هدولة ..
+
+318
+00:27:31,630 --> 00:27:34,570
+ايه نعم .. ايه نعم ناخد هدولة و نخلي هذه ال route
+
+319
+00:27:34,570 --> 00:27:41,410
+صح؟ و هذا المظبوط أنه احنا بنبدأ من أول node صار
+
+320
+00:27:41,410 --> 00:27:44,230
+عندها ال imbalance اللي هي هذه
+
+321
+00:27:46,680 --> 00:27:51,180
+بنحل هذا إذا حلنا هذا ال imbalance ممكن تلقائيا
+
+322
+00:27:51,180 --> 00:27:57,460
+هذا ال imbalance يروح صح فانا باخد التلاتة هدولة
+
+323
+00:27:57,460 --> 00:28:01,240
+بصير
+
+324
+00:28:01,240 --> 00:28:09,820
+مين التلاتة فوق الأتنين هنا الخمسة هنا و بعدين ستة
+
+325
+00:28:09,820 --> 00:28:16,120
+و تمانية حلته هذا فعلا هيصار عندى هناtwo levels
+
+326
+00:28:16,120 --> 00:28:20,940
+وهنا one اتنين نقص واحد واحد فانحل هذا تلقائيا ال
+
+327
+00:28:20,940 --> 00:28:27,280
+imbalance اللي فوق انا بس اتأكد انه احنا
+
+328
+00:28:27,280 --> 00:28:36,820
+اه هناك صح احنا في ذاك الخطوة R اه نعم لان بعد هيك
+
+329
+00:28:36,820 --> 00:28:43,960
+بنضيف من الأربعة الأربعة بدأ تيجي هنا خربت ال
+
+330
+00:28:43,960 --> 00:28:50,200
+balanceمظبوط صار عندى هنا تلاتة levels وعلى اليمين
+
+331
+00:28:50,200 --> 00:28:57,100
+واحد صار عندى هنا اتنين هذا طبعا zero هذه zero هذه
+
+332
+00:28:57,100 --> 00:29:04,080
+واحد هذه zero مالهاش حدا هذه الها واحد على الشمال
+
+333
+00:29:04,080 --> 00:29:08,640
+واتنين على اليمين يبقى ناقص واحد مظبوط الان
+
+334
+00:29:08,640 --> 00:29:14,520
+المشكلة وين جاية جاية هنا هي ال imbalance عند
+
+335
+00:29:14,520 --> 00:29:19,490
+الاتنينOkay و جايب لهذا السبب فبدي اعمل ايش left
+
+336
+00:29:19,490 --> 00:29:30,330
+right left right هاي الوضعية هذه تمام
+
+337
+00:29:30,330 --> 00:29:40,810
+هو ايه سببه ايه سببه هذا التلاتة صح هدوله
+
+338
+00:29:40,810 --> 00:29:44,290
+اه اه مظبوط صح بس
+
+339
+00:29:48,440 --> 00:29:54,340
+خلّيني أشوف بس هو إيش عامل هنا عشان .. إيش مغير؟
+
+340
+00:29:54,340 --> 00:29:59,680
+وين هو؟ الخمسة
+
+341
+00:29:59,680 --> 00:30:06,660
+والتلاتة والاربعة طالع الخمسة لفوق صح؟ مرة تانية
+
+342
+00:30:06,660 --> 00:30:13,720
+طالع الخمسة لفوق صح؟ يبقى في عندي أكتر من حاجة ولا
+
+343
+00:30:13,720 --> 00:30:18,730
+لا؟أكتر من عملية في عندي الخمسة طالع على فوق بـ
+
+344
+00:30:18,730 --> 00:30:24,410
+left right rotation بعدين الخمسة طالع مرة تانية
+
+345
+00:30:24,410 --> 00:30:32,990
+هتانشوف هاد الآن هو
+
+346
+00:30:32,990 --> 00:30:38,830
+المنطق أنه انا ايش ساوي اعمل هدف الأول ايش اللي
+
+347
+00:30:38,830 --> 00:30:47,470
+بصير خمسة تطلع فوقالخامسة وعلى يسارها التلاتة وعلى
+
+348
+00:30:47,470 --> 00:30:50,250
+يسارها .. ويمينها الستة الستة على يمينها التمانية
+
+349
+00:30:50,250 --> 00:30:59,410
+والإيش والتنين والاربعة okay الآن أنا راح ال
+
+350
+00:30:59,410 --> 00:31:07,010
+imbalance خلاص راح راح
+
+351
+00:31:07,010 --> 00:31:12,330
+مظبوط هنا عندي two levels وهنا two levelsبس هو مش
+
+352
+00:31:12,330 --> 00:31:20,610
+عامل هذا الكلام مش عامل هو .. هو إيش مسوي؟ وينها؟
+
+353
+00:31:20,610 --> 00:31:27,330
+لأ عامل هذا الكلام، هي الخمسة .. اه هي هي الخمسة
+
+354
+00:31:27,330 --> 00:31:34,290
+والستة، صح؟ تلتة اربعة، مظبوط تمانية، بعد هي كده؟
+
+355
+00:31:34,290 --> 00:31:38,390
+لأ يا بنت، هو هنا
+
+356
+00:31:41,190 --> 00:31:47,050
+هو هنا ايش جاي تلاتة و خمسة ستة اه اه صح صح مظبوط
+
+357
+00:31:47,050 --> 00:31:54,110
+هذه هي مطابقة لهذه يبقى ايش عامل عامل لمين لهدولة
+
+358
+00:31:54,110 --> 00:31:58,230
+مظبوط على نفس المبدأ اللي كنا بنحكي فيه انه وين
+
+359
+00:31:58,230 --> 00:32:04,150
+عندي ال imbalance اول ما بيّن بيّن هنا تمام يبقى
+
+360
+00:32:04,150 --> 00:32:07,410
+وين المشكلة جاية بسبب هذه ال
+
+361
+00:32:11,140 --> 00:32:16,340
+هذه هي الـ arrangement فعمل left and right left
+
+362
+00:32:16,340 --> 00:32:21,680
+and right طلعت الخمسة فوق ثلاثة
+
+363
+00:32:21,680 --> 00:32:26,020
+على الشمالها والستة على يمينها الان ايش بيجي بعد
+
+364
+00:32:26,020 --> 00:32:29,960
+اخر حاجة اضافناها التنين اخر حاجة اضافناها الأربعة
+
+365
+00:32:29,960 --> 00:32:37,520
+بيجي السابعة السابعة بتيجي تقائيا هنا السابعة
+
+366
+00:32:37,520 --> 00:32:45,220
+بتيجي هناالان هذا عمل ايش imbalance ليش؟ وين ال
+
+367
+00:32:45,220 --> 00:32:48,500
+imbalance؟
+
+368
+00:32:48,500 --> 00:32:54,980
+وين ال imbalance؟ كيف؟ اه هنا عند الست ال
+
+369
+00:32:54,980 --> 00:33:02,240
+imbalance ال سبعة zero هذه واحد صح؟ لأن هذه على
+
+370
+00:33:02,240 --> 00:33:06,180
+يمينها اتنين وعشمالها يبقى ناقص اتنين فالوضعية
+
+371
+00:33:06,180 --> 00:33:14,090
+اللي عنديبدها right to left right to left ده تيجي
+
+372
+00:33:14,090 --> 00:33:20,570
+الستة و بعدين السبعة و بعدين التمانية و بعدين left
+
+373
+00:33:20,570 --> 00:33:23,210
+rotate هذا right rotation left rotation بتطلع
+
+374
+00:33:23,210 --> 00:33:26,710
+السبعة لفوق الستة ع الشمال و التمانية على الأمين
+
+375
+00:33:26,710 --> 00:33:34,610
+فبيطلع عنده اذا وضيف السبعة بتيجي الخمسة الست
+
+376
+00:33:34,610 --> 00:33:48,520
+السبعة8 6 4 أشمال 3 4 2 تمام okay فهذا المثال يعني
+
+377
+00:33:48,520 --> 00:33:53,020
+الخلاصة من انه انه احنا ال algorithm بدها هي اللي
+
+378
+00:33:53,020 --> 00:33:58,070
+تعمل عملية ال rotations هذهباستمرار احنا الآن شفنا
+
+379
+00:33:58,070 --> 00:34:02,270
+في ال example اللي بتتم هو الإضافة كل ما بتنعمل
+
+380
+00:34:02,270 --> 00:34:05,130
+إضافة بتعمل عملية rotation عشان اذا لازم الأمر
+
+381
+00:34:05,130 --> 00:34:08,650
+بتعمل rotation لان برضه لو في حدث لو جينا على ال
+
+382
+00:34:08,650 --> 00:34:10,570
+tree و هي هيك و جينا بنعشيها من السنة التلاتة و
+
+383
+00:34:10,570 --> 00:34:17,010
+كده بتعيد التربيط بحيث نتحافظ على ال ال ال ال AVL
+
+384
+00:34:17,010 --> 00:34:21,050
+condition okay لو بنطلع الآن على ال complexity
+
+385
+00:34:21,050 --> 00:34:29,480
+تبقى دا الكلام كلهفي .. جابني ال complexity في ال
+
+386
+00:34:29,480 --> 00:34:33,980
+H هنا ال H هذا اللي هو ال height مبدئيا بس بدنا
+
+387
+00:34:33,980 --> 00:34:37,720
+نقول ان ال height هذا من empirically يعني من
+
+388
+00:34:37,720 --> 00:34:41,460
+التجارب وال examples المتعددة اللي طبقت فيها ال
+
+389
+00:34:41,460 --> 00:34:46,420
+AVL وجد ان ال H اللي هو ال depth يعني ال height
+
+390
+00:34:46,420 --> 00:34:52,470
+تبع ال tree هيكون علاقته بال Nعدد ال nodes تبقى
+
+391
+00:34:52,470 --> 00:34:58,950
+هذا طالما أن ال tree AVL ففي علاقة ترضية ما بين ال
+
+392
+00:34:58,950 --> 00:35:04,670
+nodes و ال height صح؟ لو ال tree مش AVL لو سمحنا
+
+393
+00:35:04,670 --> 00:35:09,510
+لها تاخد الشكل اللي بدها مافيش علاقة ممكن يبقى عدد
+
+394
+00:35:09,510 --> 00:35:14,610
+ال nodes كتير و يبقى ال height عميق جدا و ممكن
+
+395
+00:35:14,610 --> 00:35:21,330
+يبقى كتير و ال heightbalanced نُص ذلك لكن إذا كانت
+
+396
+00:35:21,330 --> 00:35:27,670
+AVL ففي علاقة مضبوطة ما بين ال height و ال N اللي
+
+397
+00:35:27,670 --> 00:35:32,510
+هو هذا الكلام log N زائد 2 مضروب في هذا ال
+
+398
+00:35:32,510 --> 00:35:36,470
+constant مطروح منه هذا ال constant هذا الآن للعلم
+
+399
+00:35:36,470 --> 00:35:40,610
+مش قضية تُخد في انتباه في ال complexity ال
+
+400
+00:35:40,610 --> 00:35:46,310
+complexity في الآخرواجفة على N ويلها علاقة بشو
+
+401
+00:35:46,310 --> 00:35:49,410
+العمليات اللي بدها تم اصلا اذا احنا بنحكي عن
+
+402
+00:35:49,410 --> 00:35:53,010
+searching بنحكي عن ال complexity .. بنسأل ايش ال
+
+403
+00:35:53,010 --> 00:35:55,950
+complexity تبع ال search؟ اذا بنحكي عن deletion
+
+404
+00:35:55,950 --> 00:35:59,510
+ايش ال complexity تبع ال deletion؟ اذا بنحكي عن
+
+405
+00:35:59,510 --> 00:36:03,090
+addition ايش ال complexity تبع ال addition؟ انها
+
+406
+00:36:03,090 --> 00:36:05,850
+ال searching ال searching بما ان هي AVL هي عبارة
+
+407
+00:36:05,850 --> 00:36:09,850
+عن binary tree يبقى كل ال searching عبارة عن
+
+408
+00:36:09,850 --> 00:36:13,800
+divide and conquer أصبحلأنه انا بروح معاه value
+
+409
+00:36:13,800 --> 00:36:16,400
+بدا ببحث عنه في ال tree بروح على ال route و بشوف
+
+410
+00:36:16,400 --> 00:36:20,000
+إذا هو أكبر ولا أصغر ولا يساوي إذا أكبر بروح على
+
+411
+00:36:20,000 --> 00:36:25,100
+اليمين ولا أصغر شمالي بيصار انا في end دي تخفيض
+
+412
+00:36:25,100 --> 00:36:28,940
+لحجم ال input كل مرة بمقدار من نص يبقى login على
+
+413
+00:36:28,940 --> 00:36:33,480
+طول وانا مضمط ال complexity ده ما تصيرش big O of
+
+414
+00:36:33,480 --> 00:36:39,720
+login هدف في ال worst case طبعا okay الانالـ
+
+415
+00:36:39,720 --> 00:36:44,460
+search هذا بترتب عليه ال insertion ال insertion ما
+
+416
+00:36:44,460 --> 00:36:48,960
+هو اللي عملية search بعد ما لجينا وين العنصر اللي
+
+417
+00:36:48,960 --> 00:36:51,860
+.. وين مكانه العنصر اللي معانا بنروح من هذا ..
+
+418
+00:36:51,860 --> 00:36:55,780
+بنضيف بعد ما نضيف ربما نحتاج نعمل rotation ال
+
+419
+00:36:55,780 --> 00:36:59,960
+rotation هذا في حد ذاته سواء كان right ولا left
+
+420
+00:36:59,960 --> 00:37:04,500
+ولا LR ولا RL عبارة عن تربيت أكم من عدد محدود من
+
+421
+00:37:04,500 --> 00:37:09,070
+ال pointersأه يعني حتى لو كان ال node اللي بدأ
+
+422
+00:37:09,070 --> 00:37:13,170
+أحركها مشانشال فيها sub-tree هي ال sub-tree كلها
+
+423
+00:37:13,170 --> 00:37:16,830
+عبارة عن pointer بدأ أاخده و أنجله من هذا ال node
+
+424
+00:37:16,830 --> 00:37:21,550
+إلى هذا ال node يبقى حتى ال insertion لن يزيد كتير
+
+425
+00:37:21,550 --> 00:37:26,170
+على بعد ال search بعد أن ألاج ال node مش هيضل أشي
+
+426
+00:37:26,170 --> 00:37:29,650
+كتير اللي ينعمل يبقى ال search و ال insertion up
+
+427
+00:37:29,650 --> 00:37:35,460
+جوه loginOkay الـ deletion ممكن يترتب عليه شغل
+
+428
+00:37:35,460 --> 00:37:40,420
+أكتر ماتما أنا لجيت ال node اللي بدأ أشيلها أه
+
+429
+00:37:40,420 --> 00:37:43,260
+شيلتها في يعني two pointers ممكن يترتب عليه شغل
+
+430
+00:37:43,260 --> 00:37:47,480
+أكتر من ال session بس برضه حجم الشغل لأ مابرفعنيش
+
+431
+00:37:47,480 --> 00:37:51,320
+على مستوى أعلى من ال login بيضلوا في حدود ال login
+
+432
+00:37:51,320 --> 00:37:56,280
+لذلك أيضا كمان ال deletion is big is also big O of
+
+433
+00:37:56,280 --> 00:38:03,360
+M okayالان ال AVL Tree فيها ال rotations بتحصل
+
+434
+00:38:03,360 --> 00:38:07,360
+very frequent وهذا شيء سيء يعني إضافة يعني okay
+
+435
+00:38:07,360 --> 00:38:10,560
+إنه ال performance تبعها أو ال complex تبعتها log
+
+436
+00:38:10,560 --> 00:38:18,180
+in إنما المشكلتها في اللي هو so many rotations
+
+437
+00:38:18,180 --> 00:38:22,560
+بتتعمل عند الحذف و الإضافة و ال .. okay ففي النوع
+
+438
+00:38:22,560 --> 00:38:26,740
+التاني اللي هو ال two to three ال two to three
+
+439
+00:38:28,980 --> 00:38:33,520
+بتعالج قضية الـ frequent rotations وهذه وبتقلل
+
+440
+00:38:33,520 --> 00:38:36,180
+منها ايش هو الـ two to three مررت عليكوا قبل هي
+
+441
+00:38:36,180 --> 00:38:39,280
+كانت two to three tree ال two to three tree اللي
+
+442
+00:38:39,280 --> 00:38:41,960
+هي عبارة عن احنا لما نقولنا ال AVL او ال binary
+
+443
+00:38:41,960 --> 00:38:49,880
+اسف ال binary ال binary هي عبارة عن tree كل node
+
+444
+00:38:49,880 --> 00:38:54,100
+لها two children maximumاللي احنا ممكن نعمم شوية
+
+445
+00:38:54,100 --> 00:38:58,500
+في الفكرة هذه و نقول انا لأ ممكن يبقى ال node
+
+446
+00:38:58,500 --> 00:39:03,600
+إليها أكتر من من ايش من من two children و هي أيضا
+
+447
+00:39:03,600 --> 00:39:08,800
+كمان اللي بداخلها ممكن مش بس value واحد أكتر من
+
+448
+00:39:08,800 --> 00:39:16,220
+value ال
+
+449
+00:39:16,220 --> 00:39:22,540
+two to three عبارة عن three ال node سبعتهاتحتوي
+
+450
+00:39:22,540 --> 00:39:27,180
+على two values وهذا يترتب عليه three children
+
+451
+00:39:27,180 --> 00:39:30,680
+لاحظوا في علاقة ما بين عدد ال values وما بين ال
+
+452
+00:39:30,680 --> 00:39:34,420
+children لما يكون عندي value واحد بقدر احط two
+
+453
+00:39:34,420 --> 00:39:37,800
+children واحد اقل منه من ال value واحد اكبر منه
+
+454
+00:39:37,800 --> 00:39:44,680
+لما يكون عندي two values اقول مثلا تلاتة وتمانية
+
+455
+00:39:44,680 --> 00:39:51,090
+بقدر احط اللي اقل من التلاتة left childوالأكبر من
+
+456
+00:39:51,090 --> 00:39:55,190
+التمانية right child واللي بينهم بين التلاتة
+
+457
+00:39:55,190 --> 00:40:01,050
+والتمانية بحطه في النص okay فهذا ال less than K
+
+458
+00:40:01,050 --> 00:40:06,590
+واحد okay خلّي بالك هذي very general ال multi way
+
+459
+00:40:06,590 --> 00:40:11,230
+very general لأنه بتقول حتى كمان إذا بدك حط كمان
+
+460
+00:40:11,230 --> 00:40:15,250
+تلاتة أربعة جد in number of keys وعمم الجدية هذي
+
+461
+00:40:15,250 --> 00:40:19,490
+جداش في عندك keys عندك children يساويهم زاد واحد
+
+462
+00:40:20,530 --> 00:40:26,110
+إذا عندك N number of .. بالعكس إذا عندك N number
+
+463
+00:40:26,110 --> 00:40:30,050
+of children عندك N مقص واحد number of keys جوا
+
+464
+00:40:30,050 --> 00:40:36,050
+okay ال key ال left child هو بيكون value تبعه أقل
+
+465
+00:40:36,050 --> 00:40:41,030
+من K واحد ال right child أكبر من K الأخير و اللي
+
+466
+00:40:41,030 --> 00:40:47,970
+جوا في النص in between هاي مثال على ذلك اللي هو لو
+
+467
+00:40:53,680 --> 00:40:57,140
+أولا وضحط ايش يعني المفهوم الـ two to three two
+
+468
+00:40:57,140 --> 00:41:02,320
+keys three children لو أنا الأن عندي هذه ال data و
+
+469
+00:41:02,320 --> 00:41:05,980
+بدي أخزنها في ال two to three three اول ما بتخش
+
+470
+00:41:05,980 --> 00:41:12,940
+بتخش التسعةنوت لحالها حلو؟ بعدين بتخش الخمسة ايش
+
+471
+00:41:12,940 --> 00:41:16,900
+أسوي؟ احط الخمسة على شمالها؟ لأ مازال عندي انا two
+
+472
+00:41:16,900 --> 00:41:21,240
+to three و في وسعى معناها داخل النوت بحطها بقى
+
+473
+00:41:21,240 --> 00:41:24,320
+معاها في داخل النوت بحطها جابلها ولا بعدها؟ جابلها
+
+474
+00:41:24,320 --> 00:41:30,520
+طبعا okay الخمسة بتيجي جوا في نفس النوتلأن دائما
+
+475
+00:41:30,520 --> 00:41:33,440
+في النوت الواحد انا عندي وسعة ل maximum two two
+
+476
+00:41:33,440 --> 00:41:37,040
+keys two values خشت الآن اجه ال value التالت
+
+477
+00:41:37,040 --> 00:41:40,560
+التمانية التمانية الآن مابلوش وسعة لو ضحوط مابلوش
+
+478
+00:41:40,560 --> 00:41:44,140
+وسعة فلازم اعمل split التلاتة دول بده عمل split
+
+479
+00:41:44,140 --> 00:41:50,440
+ايش عمل split ال middle value بده يجيه rootDG root
+
+480
+00:41:50,440 --> 00:41:54,200
+و هدول الاتنين الخمسة والتسعة صاروا left و right
+
+481
+00:41:54,200 --> 00:41:58,780
+ال children التلاتة الآن لما تيجي مكانها الطبيعي
+
+482
+00:41:58,780 --> 00:42:03,640
+وين؟ مع الخمسة فى لها وساق؟ لها وساق بتظل جادة
+
+483
+00:42:03,640 --> 00:42:08,240
+الاتنين لما تيجي مكانها انه مع هدولة بس مالياش
+
+484
+00:42:08,240 --> 00:42:12,820
+وساقة معاهم لازم أعمل split عمل split ليش؟ تلاتة
+
+485
+00:42:16,950 --> 00:42:21,790
+التلاتة وبعدين الاتنين والخمسة واللأ اطلع التلاتة
+
+486
+00:42:21,790 --> 00:42:25,230
+فوق واخل الاتنين والخمسة يعني هي اللي اجه دخل
+
+487
+00:42:25,230 --> 00:42:28,890
+عليهم الاتنين الاتنين اللي انا لما بتيجي بدل ما
+
+488
+00:42:28,890 --> 00:42:35,670
+اعمل two notes جداد ومعاهم الهم root لأ بطلع حاجة
+
+489
+00:42:35,670 --> 00:42:39,310
+دي في ال root اللي فوقها واشتغل وبيتيجي الاتنين
+
+490
+00:42:39,310 --> 00:42:40,630
+والخمسة زي ما هو عامل
+
+491
+00:42:44,070 --> 00:42:49,310
+الخامسة هذه لأنها ما بين التلاتة والتمانية فاجت في
+
+492
+00:42:49,310 --> 00:42:52,390
+ال
+
+493
+00:42:52,390 --> 00:42:56,250
+middle child صح يعني ايه اللي حصل عمليا لأنه لما
+
+494
+00:42:56,250 --> 00:43:00,630
+اجي اضاف اتنين طلع التلاتة فوق مع التمانية صاروا
+
+495
+00:43:00,630 --> 00:43:05,170
+range okay صارت التنين اقل من هذا ال range الخامسة
+
+496
+00:43:05,170 --> 00:43:09,330
+في نص ال range والتسعة على يمينه الان بدا تيجي من
+
+497
+00:43:09,330 --> 00:43:15,770
+الأربعة الأربعة مكانهاوين؟ هي مش أقل من هذا ال
+
+498
+00:43:15,770 --> 00:43:18,130
+range هي في نص ال range في نص ال range إيش فيه
+
+499
+00:43:18,130 --> 00:43:20,630
+أنتي في نص ال range؟ فيه الخمسة بقدر أحطها أنا
+
+500
+00:43:20,630 --> 00:43:25,110
+بقدر أحطها معاها بعدك السابعة السابعة برضه بداخل
+
+501
+00:43:25,110 --> 00:43:29,910
+ال range فبدأ تيجي مع هدولة مظبوط؟ أجت مع هدولة
+
+502
+00:43:29,910 --> 00:43:34,390
+بتفهش تقعد تلت لازم أطلع واحد الواحد هذا بقدر أطلع
+
+503
+00:43:34,390 --> 00:43:41,320
+فوق لأ مالوش وساعة صح؟إذا طلعته فوق ما له وسع إذا
+
+504
+00:43:41,320 --> 00:43:45,380
+طلعته فوق ماعش الحال في هذا الحالة بدي أرفع هدولة
+
+505
+00:43:45,380 --> 00:43:50,520
+إلى إيش تلاتة زي ما هو عامل هنا تلاتة الخمسة طلعت
+
+506
+00:43:50,520 --> 00:43:52,880
+فوق تلاتة على شمالها و التمانية على شمالها و
+
+507
+00:43:52,880 --> 00:43:57,620
+التمانية أخدت هدولة و التلاتة أخدت التانين التانين
+
+508
+00:43:57,620 --> 00:44:05,030
+فهذا الأمر صح في splittingبس مافيش rotations، ال
+
+509
+00:44:05,030 --> 00:44:09,770
+rotations جلت وال splitting أخف أو أهون من عملية
+
+510
+00:44:09,770 --> 00:44:11,630
+ال rotation إلى حد منها
+
+511
+00:44:14,540 --> 00:44:20,920
+بيظلوا ال complexity تبع ال 2 to 3 trees انها log
+
+512
+00:44:20,920 --> 00:44:26,660
+N في ال average لأنه ماليهاش علاقة ب best case و
+
+513
+00:44:26,660 --> 00:44:30,940
+worst case برضه كمان علاقة ال height ال height تبع
+
+514
+00:44:30,940 --> 00:44:36,420
+ال 2 to 3 tree مع ال input مع عدد ال nodes محكوم
+
+515
+00:44:36,420 --> 00:44:36,880
+بالعلاقة
+
+516
+00:44:39,500 --> 00:44:45,400
+أدنا له مثلًا و أحد أدنا له log base 3 in plus 1 و
+
+517
+00:44:45,400 --> 00:44:51,860
+أحد أقصى له log base 2 in plus 1 ماشي الحالة كفاية
+
+518
+00:44:51,860 --> 00:44:55,780
+اللي عندنا و المحاضرة الجاي ان شاء الله بنتقل إلى
+
+519
+00:44:55,780 --> 00:45:01,820
+موضوع أخر اللي يعني احنا عمليًا استكفينا منه اللي
+
+520
+00:45:01,820 --> 00:45:05,340
+هو transform and conquer algorithms ماشي أعطيكم
+
+521
+00:45:05,340 --> 00:45:05,720
+العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/l1ZGwQYD6fw_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/l1ZGwQYD6fw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ee089f5e6123b4b4ea37cd0c49339fcfb2e8c559
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/l1ZGwQYD6fw_raw.srt
@@ -0,0 +1,1764 @@
+1
+00:00:20,970 --> 00:00:23,150
+ماشي بسم الله الرحمن الرحيم الصلاة والسلام علي
+
+2
+00:00:23,150 --> 00:00:26,710
+أشرف المرسلين اليوم ان شاء الله بنبدأ في اللي هو
+
+3
+00:00:26,710 --> 00:00:30,850
+النوع جديد من ال problems أو النوع الجديد من ال
+
+4
+00:00:30,850 --> 00:00:34,250
+algorithmic بالأحرى اللي هو decrease and conquer
+
+5
+00:00:34,250 --> 00:00:41,010
+approach في اللي هو divide and conquer وفي ال
+
+6
+00:00:41,010 --> 00:00:43,350
+chapter 5 اللي احنا نطلع عليه decrease and conquer
+
+7
+00:00:43,350 --> 00:00:45,530
+ال decrease and conquer أحيانا له اسم اللي هو
+
+8
+00:00:45,530 --> 00:00:46,030
+induction
+
+9
+00:00:50,180 --> 00:00:55,060
+أو الـ incremental كل
+
+10
+00:00:55,060 --> 00:01:05,160
+ما دول مرادفات لـ decrease and conquer يعني في بعض
+
+11
+00:01:05,160 --> 00:01:07,500
+الكتب ممكن ما تلاقيهاش بالمرة اسم ال decrease and
+
+12
+00:01:07,500 --> 00:01:10,840
+conquer تلاقيها اسم induction أو incremental
+
+13
+00:01:12,590 --> 00:01:16,290
+الفكرة الأساسية إنه to reduce the problem instance
+
+14
+00:01:16,290 --> 00:01:20,890
+أو ال problem بمعنى ال problem instance بمعنى إنه
+
+15
+00:01:20,890 --> 00:01:24,310
+ال problem ال input size to reduce ال problem
+
+16
+00:01:24,310 --> 00:01:27,770
+instance to smaller instance of the same problem
+
+17
+00:01:27,770 --> 00:01:33,310
+يعني بدل ما نطلع على solving input of size n نشوف
+
+18
+00:01:33,310 --> 00:01:39,390
+لو خلنا n نقص واحد أقل منه بحلقة و .. و .. و نعالج
+
+19
+00:01:39,390 --> 00:01:43,200
+الأمور بعد هيك نروح نشوف اللي احنا فلتناالأن
+
+20
+00:01:43,200 --> 00:01:48,340
+العنصر الأخير ندمجه مع الحل تمام solve smaller
+
+21
+00:01:48,340 --> 00:01:54,360
+instance extend يعني reduce solve بعد ما بسطنا
+
+22
+00:01:54,360 --> 00:02:00,940
+بنحل الأبسط بعد كده بروح extend بندمج اللي فلتنا
+
+23
+00:02:00,940 --> 00:02:04,700
+على الحل تبع ال smaller instance
+
+24
+00:02:07,510 --> 00:02:11,110
+على سبيل المثال على سبيل المثال عصبية فيها عندي
+
+25
+00:02:11,110 --> 00:02:15,750
+انا لو لو عندي مثلا بدي اقول a to the power of n
+
+26
+00:02:15,750 --> 00:02:21,510
+okay انا ممكن ايجي اقول والله لو انا بسطتها
+
+27
+00:02:21,510 --> 00:02:25,270
+وخليتها a to the power of n نقص واحد وضربت بعدين
+
+28
+00:02:25,270 --> 00:02:32,410
+كفيهمش انا لما انبسطت هيك وانا تفلتت يمشي A ضرب A
+
+29
+00:02:32,410 --> 00:02:36,250
+ضرب A لغاية N number of times فانا خليتها N max
+
+30
+00:02:36,250 --> 00:02:39,790
+واحد number of times و بعدين ضربت فجيت قولت كيف
+
+31
+00:02:39,790 --> 00:02:43,590
+انا اعالج هذا اللي هو ال smaller instance و بعدين
+
+32
+00:02:43,590 --> 00:02:51,070
+ادمج او extend على ال باقي اللي استثنته في البداية
+
+33
+00:02:51,580 --> 00:02:55,260
+فعموما قبل ما نطلع على ال algorithm او امثلة على
+
+34
+00:02:55,260 --> 00:02:59,140
+هذا الأمر فيه ان بستصنيف ل decrease and conquer
+
+35
+00:02:59,140 --> 00:03:04,040
+الى تلات sub types اللي هم انه decrease by a
+
+36
+00:03:04,040 --> 00:03:07,620
+constant و decrease by a constant factor و
+
+37
+00:03:07,620 --> 00:03:13,800
+decrease by a variable size لما انا الآن بسطت
+
+38
+00:03:13,800 --> 00:03:20,520
+بمعنى انه شيلتواحد من ال problem الأصلية و بعد ذلك
+
+39
+00:03:20,520 --> 00:03:28,700
+هذا الواحد هشيل منه واحد تمام يعني هذا a of n نقص
+
+40
+00:03:28,700 --> 00:03:32,900
+واحد يساوي a of n a to the power n نقص اتنين ضرب a
+
+41
+00:03:32,900 --> 00:03:36,660
+فانا في كل مرة لما ببسط بشيل بس واحد من ال
+
+42
+00:03:36,660 --> 00:03:40,780
+original size من ال original instance of the
+
+43
+00:03:40,780 --> 00:03:45,710
+problem و بنزل بعد ذلك a of n a to the power aN
+
+44
+00:03:45,710 --> 00:03:49,510
+نقص 2 بيساوي A to the power N نقص 3 ضرب A مظبوط
+
+45
+00:03:49,510 --> 00:03:52,850
+هذا الكلام فانا بتقعد بنقص دائما بعمل decreasing
+
+46
+00:03:52,850 --> 00:03:57,470
+by a constant ال constant هو مقدار واحد مقدار
+
+47
+00:03:57,470 --> 00:04:05,030
+عملية ضرب واحدة ممكن نيجي نعمل decrease by a
+
+48
+00:04:05,030 --> 00:04:09,990
+constant factor factor هنا يعني نسبة من ال size
+
+49
+00:04:09,990 --> 00:04:15,630
+الأصلي لما نقول مثلا halfالـ factor هنا 0.5 صح نص،
+
+50
+00:04:15,630 --> 00:04:21,630
+لو أقول الربع، الخمس، التلت، ماشي فأنا بقى بسط ال
+
+51
+00:04:21,630 --> 00:04:27,150
+instance بإني أخد نسبة من ال instance الأصلي، هنا
+
+52
+00:04:27,150 --> 00:04:32,130
+مش نسبة، هنا بجلل بمقدار واحد في كل مرمىفلما احنا
+
+53
+00:04:32,130 --> 00:04:37,230
+بنحكي عن ال binary search مثلا و برضه حتى هذه كمان
+
+54
+00:04:37,230 --> 00:04:41,290
+انا ممكن اتعامل معاها انه decreasing by half اجي
+
+55
+00:04:41,290 --> 00:04:45,550
+اقول a of n بساوي a to the power n بساوي a to the
+
+56
+00:04:45,550 --> 00:04:50,510
+power n على 2 ضرب a to the power n على 2 صح ولا لأ
+
+57
+00:04:50,510 --> 00:04:55,990
+جسمة ال .. بدل ما ادرم يعني اقول مثلا n بتساوي 8و
+
+58
+00:04:55,990 --> 00:05:00,190
+ايه بيساوي مثلا تلاتة؟ لما اقول تلاتة في تمانية و
+
+59
+00:05:00,190 --> 00:05:03,210
+اضربها تلاتة اص تمانية و اقول تلاتة في تلاتة في
+
+60
+00:05:03,210 --> 00:05:07,410
+تلاتة تمان مرات و راح تقولت تلاتة في اربعة اللي ن
+
+61
+00:05:07,410 --> 00:05:12,790
+على اتنين ضرب تلاتة في اربعة عملت عملت الضرب اربع
+
+62
+00:05:12,790 --> 00:05:17,890
+مرات بعدين صح؟ اخدت الناتج هذا و ضربته في نفسه
+
+63
+00:05:17,890 --> 00:05:23,930
+كمان مرةDecrease by constant factor فاكتور يعني
+
+64
+00:05:23,930 --> 00:05:27,710
+نسبة نسبة ماليش من ال input size وهنا ال variable
+
+65
+00:05:27,710 --> 00:05:31,850
+size decrease هيكون معانا في section أربعة خمسة
+
+66
+00:05:31,850 --> 00:05:35,630
+variable size decrease بس أقرب مثال عليه اللي هو
+
+67
+00:05:35,630 --> 00:05:39,030
+ال Euclid's algorithm اللي شفناها قبل هيكة لما
+
+68
+00:05:39,030 --> 00:05:40,130
+نجيه لما نحسب ال common
+
+69
+00:05:43,910 --> 00:05:47,710
+GCD هو greatest common denominator of two numbers
+
+70
+00:05:47,710 --> 00:05:53,990
+واحد منهم اصغر من التاني ان هو التاني هذا بنجيبه و
+
+71
+00:05:53,990 --> 00:06:01,220
+بنحط بدالهM mod N صح؟ الـ N زغرت مثلا لأن هذه
+
+72
+00:06:01,220 --> 00:06:05,220
+الأرقام صارت أصغر من هذه الأرقام صح؟ الأرقام اللي
+
+73
+00:06:05,220 --> 00:06:08,420
+هنا هذا .. هذا هو اللي صغير فيهم صار هو هنا الكبير
+
+74
+00:06:08,420 --> 00:06:13,500
+و الصغير المقابل له هو M mod N وهذا نفس الكلام
+
+75
+00:06:13,500 --> 00:06:18,160
+ممكن أبسطه أيضا كمان بإيش و أجيب هذاويحسب إيش ال
+
+76
+00:06:18,160 --> 00:06:24,680
+in mod التبع هذا الرقم فأنا بسطت بس التبسيط مايجهش
+
+77
+00:06:24,680 --> 00:06:29,320
+على وثيرة ثابتة انه ببسط بمقدار واحد في كل مرة أو
+
+78
+00:06:29,320 --> 00:06:33,100
+مقدار النصف في كل مرة بتفاوت على حسب إيش اللي
+
+79
+00:06:33,100 --> 00:06:36,220
+بيطلع معايا ال mod هذا فهذا variable size decrease
+
+80
+00:06:36,220 --> 00:06:40,560
+المهم قدام نشوف أمثلة أخرى على هذا الكلام الآن
+
+81
+00:06:40,560 --> 00:06:46,290
+احنا بنطلع علىاللي هو الأمثلة على ال decrease and
+
+82
+00:06:46,290 --> 00:06:51,630
+conquer في عندنا مثال اللي هو ال insertion sort و
+
+83
+00:06:51,630 --> 00:06:54,510
+ال topological sorting بنشوف هدول المثالين على ال
+
+84
+00:06:54,510 --> 00:06:59,070
+decrease by constant بعد هيك بنشوف مثال على اللي
+
+85
+00:06:59,070 --> 00:07:02,590
+هو ال decrease by constant factor اللي هو ال
+
+86
+00:07:02,590 --> 00:07:06,590
+binary search وبعد هيك بنشوف مثال على ال variable
+
+87
+00:07:06,590 --> 00:07:13,440
+sizeاللي هو selection by partition ونم like games
+
+88
+00:07:13,440 --> 00:07:19,640
+احتمال
+
+89
+00:07:19,640 --> 00:07:22,280
+نشوف برضه كمان اذا بضال معانا ماجي تشوف اللي هو ال
+
+90
+00:07:22,280 --> 00:07:25,800
+permutations هذه بس المحاضرة هذه هيكون تركيز على
+
+91
+00:07:25,800 --> 00:07:30,160
+ال decrease by constant ونشوف المثالين هدولة او
+
+92
+00:07:30,160 --> 00:07:30,940
+الحالتين هدول نعم
+
+93
+00:07:36,930 --> 00:07:43,750
+هذا المثال اللي حكيته هو لو أنا عندي رقم بدي ارفع
+
+94
+00:07:43,750 --> 00:07:48,810
+قص N احنا حكينا كيف نعمله بال divide and conquer
+
+95
+00:07:48,810 --> 00:07:52,350
+اتوا صح؟ divide and conquer او حكينا كيف ندعم ..
+
+96
+00:07:52,350 --> 00:07:55,050
+اسف مش divide and conquer اسف decrease and conquer
+
+97
+00:07:55,050 --> 00:08:01,290
+حكينا decrease and conquer by one وحكينا برضه by
+
+98
+00:08:01,290 --> 00:08:05,840
+constant factor ان هو لو انا بدي اجسمهان على اتنين
+
+99
+00:08:05,840 --> 00:08:10,820
+ان على اتنين صح؟ صح؟ by one ان انا اجي اقول a of n
+
+100
+00:08:10,820 --> 00:08:15,880
+بساوي a of n نقص a to the power n نقص واحد في a و
+
+101
+00:08:15,880 --> 00:08:18,920
+بعد انها دي اخدها على انها ال new problem بتاعي
+
+102
+00:08:18,920 --> 00:08:19,740
+بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي
+
+103
+00:08:19,740 --> 00:08:19,740
+بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي
+
+104
+00:08:19,740 --> 00:08:21,020
+بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي
+
+105
+00:08:21,020 --> 00:08:21,320
+بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي
+
+106
+00:08:21,320 --> 00:08:21,320
+بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي
+
+107
+00:08:21,320 --> 00:08:21,320
+بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي بتاعي
+
+108
+00:08:21,320 --> 00:08:31,360
+بتاعي بتاعي
+
+109
+00:08:31,360 --> 00:08:37,820
+بتاعهي هذه و لا لأ لأن احنا في ال divide and
+
+110
+00:08:37,820 --> 00:08:40,160
+conquer اللي مش عارف اذا كان مرة عليك و جابليك و
+
+111
+00:08:40,160 --> 00:08:45,060
+لا لأ احنا بنجسم عادة بنجسم إلى النص ماشي بناخد ال
+
+112
+00:08:45,060 --> 00:08:48,180
+input و بنجسمه إلى قسمين و تساويين و بنتعامل مع كل
+
+113
+00:08:48,180 --> 00:08:52,700
+واحد على حده و بعد هي كده بندمج ما بين ال two
+
+114
+00:08:52,700 --> 00:08:54,960
+solutions ال solution تبع النص هذا مع ال solution
+
+115
+00:08:54,960 --> 00:08:59,780
+تبع النص هذا هنا عملية الدمج ان احنا ضربنا ناتج
+
+116
+00:08:59,780 --> 00:09:05,100
+تبع هذا النص مع ناتج تبع هذا النصواضح فالـ divide
+
+117
+00:09:05,100 --> 00:09:08,100
+and conquer هنا هي عبارة عن decrease by constant
+
+118
+00:09:08,100 --> 00:09:12,100
+factor و ال constant factor هو اللي هو نص طيب ال
+
+119
+00:09:12,100 --> 00:09:14,100
+brute force لو بدنا نحلها هذا ال brute force اللي
+
+120
+00:09:14,100 --> 00:09:18,580
+هو اللي بخطر على بالنا بالعادة أنه أمسك ال a و
+
+121
+00:09:18,580 --> 00:09:22,800
+أضربها في نفسها مرة مرتين تلاتة لما نقصها لل n ال
+
+122
+00:09:22,800 --> 00:09:25,400
+n هنا بساوية تمانية يعني أضرب عامة عامة عامية
+
+123
+00:09:25,400 --> 00:09:28,680
+الضرب تمام مرة هذا ال brute force و ليه لأ okay
+
+124
+00:09:28,680 --> 00:09:32,380
+ملاقش
+
+125
+00:09:32,380 --> 00:09:37,880
+الحاجةطيب الآن ال insertion sort ال insertion sort
+
+126
+00:09:37,880 --> 00:09:41,540
+احنا مثلا الصورتنج في كل الحالات هي ان انا اندي
+
+127
+00:09:41,540 --> 00:09:46,000
+ليه استعمل العناصر العناصر هذه اللي هي بدي انا
+
+128
+00:09:46,000 --> 00:09:56,120
+ارتبهم non .. non .. non decreasing يعني تصعدي صح؟
+
+129
+00:09:56,120 --> 00:09:58,880
+decreasing يعني تنازل و non decreasing يعني تصعدي
+
+130
+00:09:58,880 --> 00:10:02,980
+و ليش ما نقول increasing و نريح حالنا decreasing
+
+131
+00:10:02,980 --> 00:10:06,600
+يعني تنازل و عكسهاincreasing لما نقول increasing
+
+132
+00:10:06,600 --> 00:10:10,220
+ونريح حالنا بس عشان الدقة يعني بنقول non
+
+133
+00:10:10,220 --> 00:10:15,260
+decreasing لإنه ممكن يكون في عنصرين بيساوي بعض فمن
+
+134
+00:10:15,260 --> 00:10:18,640
+عنصر للي بعده هدول الاتنين اللي بيساوي بعض جانب
+
+135
+00:10:18,640 --> 00:10:21,700
+بعض هم مش increasing مافيش increase فبنقول non
+
+136
+00:10:21,700 --> 00:10:25,240
+decrease هو المهم إنه احنا عندنا هنا في ال .. في
+
+137
+00:10:25,240 --> 00:10:29,900
+ال .. إذا ال input زي هي كده وانا بدي أرتبهم في ال
+
+138
+00:10:29,900 --> 00:10:35,790
+insertion sort إيش بنسوي؟بنجي بنتعامل مع المسألة
+
+139
+00:10:35,790 --> 00:10:41,970
+على أساس أنه عشان أنا أرتب هذا المجموعة إيش لو أنا
+
+140
+00:10:41,970 --> 00:10:47,290
+.. لو أنا جيت قولت المجموعة كلها ناقص الأخير
+
+141
+00:10:47,290 --> 00:10:50,890
+أرتبهم و بعدين أشوف كيف هذا العنصر الأخير اللي أنا
+
+142
+00:10:50,890 --> 00:10:58,140
+فلدته أدمجه معاهم بعد ما أكون رتبتهمOkay إذا هذا
+
+143
+00:10:58,140 --> 00:11:01,680
+الكلام أنا بعرف أسويه طيب خلاص معناته هذا نفسه
+
+144
+00:11:01,680 --> 00:11:07,180
+الأربعة دولة بقدر أرتبهم بنفس الفكرة أنه أشوف كيف
+
+145
+00:11:07,180 --> 00:11:10,980
+لو كيف أنا ممكن أرتب التلاتة دولة و بعدين أدمج هذا
+
+146
+00:11:10,980 --> 00:11:17,300
+مع هدولة بعد ما أرتبهم و بنفس القالية التلاتة دولة
+
+147
+00:11:17,300 --> 00:11:21,720
+أخد بس أخد التنين أرتبهم و بعدين أدمج هذا و هذا
+
+148
+00:11:21,720 --> 00:11:25,690
+ولا نفس الأمرعملية ترتيبهم عبارة عن ان انا اخد
+
+149
+00:11:25,690 --> 00:11:30,470
+الأولاني وبعدين اشوف كيف ادمج هذا معاه فهي الفكرة
+
+150
+00:11:30,470 --> 00:11:35,310
+وهذا هو مفهوم ال incremental انه انا هاجي من الآخر
+
+151
+00:11:35,310 --> 00:11:42,410
+هاجي هذا واشوف كيف ادمج عليه الأربعة صاروا مرتبين
+
+152
+00:11:42,410 --> 00:11:44,930
+كيف ده دمج عليهم الواحد صاروا مرتبين كيف ده دمج
+
+153
+00:11:44,930 --> 00:11:50,890
+عليهم التمانية فهنا incremental okay فهي الفكرة
+
+154
+00:11:50,890 --> 00:11:56,660
+الأساسيةهذه المثالة هي تموضح لك هنا انه اخدنا
+
+155
+00:11:56,660 --> 00:12:01,660
+الستة الاربع عشان لما بدخل على الستة تيجي قبلها
+
+156
+00:12:01,660 --> 00:12:08,740
+بعد كالواحد بده دخله عليهم بيجي هنا مكانه التمانية
+
+157
+00:12:08,740 --> 00:12:14,040
+دخلة عليهم تيجي بعد واضح بعد كالخمسة علي هدوله
+
+158
+00:12:14,040 --> 00:12:18,060
+تيجي في هذا المكان ال insertion الاسم insertion
+
+159
+00:12:18,060 --> 00:12:23,530
+جاي من انه انا احصل اللي بضيفهبضيفه في مكانه
+
+160
+00:12:23,530 --> 00:12:27,390
+الطبيعي قد يكون مكانه الطبيعي أول ال list قد يكون
+
+161
+00:12:27,390 --> 00:12:30,490
+أخرها أو قد يكون في مجموعة من الأحوال هيكون في ما
+
+162
+00:12:30,490 --> 00:12:33,890
+بين عنصرين من هنا ال insertion و اه طبعا احنا
+
+163
+00:12:33,890 --> 00:12:37,910
+بنسوي يعني لما بنلعب الشد بتعرفوا كيف الواحد لما
+
+164
+00:12:37,910 --> 00:12:45,870
+بيخد الكرت لما بنوزع ال .. و بعدين بناخد كل ورقة
+
+165
+00:12:45,870 --> 00:12:50,670
+بناخدها بنحطها في إيشفي مكانها حسب الترتيب اللي ..
+
+166
+00:12:50,670 --> 00:12:54,650
+و بنرتب واحد واحد فمن هنا نفس الفكرة يعني ال
+
+167
+00:12:54,650 --> 00:13:00,210
+algorithm اللي هنا بتنفذ هذا الكلام أو بتنفذ هذه
+
+168
+00:13:00,210 --> 00:13:06,150
+الفكرة فيها two loops اللوب
+
+169
+00:13:06,150 --> 00:13:12,530
+الخارجية ده تلف على العناصر من I بساوي واحد to N
+
+170
+00:13:12,530 --> 00:13:17,420
+نقص واحد N نقص واحد هنا اللي هو العنصر الأخيرو I
+
+171
+00:13:17,420 --> 00:13:23,180
+واحد اللي هو العنصر هاي واحد sorry هاي Zero واحد
+
+172
+00:13:23,180 --> 00:13:29,780
+اتنين تلاتة اربعة خمسة هاي N ناقص واحد okay فبنبدأ
+
+173
+00:13:29,780 --> 00:13:36,780
+ب I واحد لغاية الأخير في كل Loop الآن في عندي Loop
+
+174
+00:13:36,780 --> 00:13:42,000
+داخلية اللي هي ال Y Loop ها دي فيها J اللي بيبدأ
+
+175
+00:13:42,000 --> 00:13:47,260
+من إيش من I ناقص واحدJ بيبدأ من I نقص واحد اللي هو
+
+176
+00:13:47,260 --> 00:13:51,340
+العنصر اللي جابله okay
+
+177
+00:13:51,340 --> 00:13:55,860
+فانا الآن معايا I معايا العنصر اللي على I و بدي
+
+178
+00:13:55,860 --> 00:14:00,080
+ادخله على العناصر اللي جابله في كل دورة من دورات
+
+179
+00:14:00,080 --> 00:14:04,160
+ال I نمسك العنصر اللي انا واقف عليه اشوف وين بده
+
+180
+00:14:04,160 --> 00:14:09,800
+يخش وين بده ينحط في العناصر اللي جابله انا لما
+
+181
+00:14:09,800 --> 00:14:14,790
+بأصل لأي عنصربكون خلصت من اللي جابله بكون مرتبين
+
+182
+00:14:14,790 --> 00:14:19,210
+بس اللي ضايل علينا أجيبه هذا و أحطه أشوف وين ..
+
+183
+00:14:19,210 --> 00:14:25,230
+وين مكانه مابينهم حطيته بامتجل على اللي بعده بكون
+
+184
+00:14:25,230 --> 00:14:27,770
+اللي جابله ه .. بكون هدول كله اترتبوا بيصير اللي
+
+185
+00:14:27,770 --> 00:14:31,230
+بعده برضه نفس الاشي بدي أحطه مابين اللي جابله
+
+186
+00:14:31,230 --> 00:14:36,870
+فعندي ال wild loop هذه اللي جوا بتبدأ خلينا احنا
+
+187
+00:14:36,870 --> 00:14:39,970
+عشان نبسط الفكرة نفترض انه اه الان وصلنا لعند هنا
+
+188
+00:14:43,120 --> 00:14:56,760
+وصلنا إلى هنا J بدأ تبدأ من I نقص واحد IJ اخد
+
+189
+00:14:56,760 --> 00:15:03,420
+مثال فيه هنا ارقام لناخد
+
+190
+00:15:03,420 --> 00:15:04,420
+اللي استهد اللي اتوا
+
+191
+00:15:10,020 --> 00:15:17,480
+ستة اربعة واحد تمانية خمسة اضيف عليهم كمان التسعة
+
+192
+00:15:17,480 --> 00:15:22,960
+وربما السبعة وربما الاتنين okay عليا ما اكون وصلت
+
+193
+00:15:22,960 --> 00:15:28,460
+هنا بيكون الأول أربع ناصر مرتبين ولا لأ؟ مين أول
+
+194
+00:15:28,460 --> 00:15:34,880
+أربع ناصر بيكونوا مرة عليا؟ بيكون
+
+195
+00:15:34,880 --> 00:15:36,100
+أنا والف هنا صح؟
+
+196
+00:15:40,780 --> 00:15:47,880
+مظبوط هيك فالان I I هنا و J اللي هي I نقص واحد
+
+197
+00:15:47,880 --> 00:15:51,320
+فالان ايش هيحدث انه انا .. ده ارجع تاني على ال
+
+198
+00:15:51,320 --> 00:15:58,700
+algorithm خلي
+
+199
+00:15:58,700 --> 00:16:02,320
+بالك ال algorithm لها شرط اللوب الداخلية لها شرطين
+
+200
+00:16:02,320 --> 00:16:08,600
+شرط انه انا هضل استمر في الرجوع J بتتناقصالـ J
+
+201
+00:16:08,600 --> 00:16:13,660
+بتتنقص هستمر في الرجوع بالـ J ل .. لعند الـ I الـ
+
+202
+00:16:13,660 --> 00:16:18,080
+Zero الـ J less than or equal to zero طالما انها
+
+203
+00:16:18,080 --> 00:16:21,800
+less than or equal to .. greater than او اكبر منها
+
+204
+00:16:21,800 --> 00:16:25,580
+و تساوي صفر و بده استمر في الرجوع بده تجيل عن الـ
+
+205
+00:16:25,580 --> 00:16:30,800
+Zero و بده اتوقف الشرط التاني ان الـ A of J العنصر
+
+206
+00:16:30,800 --> 00:16:37,740
+اللي بتشاور عليه J تمام؟
+
+207
+00:16:39,140 --> 00:16:44,060
+أكبر من V، ايش ال V؟ V هي الانصر بتشير عليه ال I،
+
+208
+00:16:44,060 --> 00:16:48,500
+صح؟ يعني أنا أول ما بجعف على answer بال I، باخده و
+
+209
+00:16:48,500 --> 00:16:54,120
+بحطه في Vالان بدي امسك ال V هذا و اقارن هو اللي
+
+210
+00:16:54,120 --> 00:16:56,880
+انا .. الحين هو اللي انا بدي ادخله هذا ليس الآن من
+
+211
+00:16:56,880 --> 00:17:01,820
+عند .. من عند J للاخر حاجة دي مرتبة من عند العنصر
+
+212
+00:17:01,820 --> 00:17:05,260
+اللي قبل I للاخر انهم مرتبين فانا بدي امسك خمسة
+
+213
+00:17:05,260 --> 00:17:09,360
+العنصر I هذا و اشوف وين بدي انحط فيها دولة ايش
+
+214
+00:17:09,360 --> 00:17:21,310
+بيصير؟ بتطلع عليه ال A of ال V طالما انه اصغرمن
+
+215
+00:17:21,310 --> 00:17:26,910
+العنصر اللي بيشتغل عليه بـ J بيستمر لإنه أصغر و
+
+216
+00:17:26,910 --> 00:17:31,450
+بيستمر و أتجف إما لما أصل للآخر و مافيش أصغر أو
+
+217
+00:17:31,450 --> 00:17:37,490
+لما ألاقي واحد أصغر منه زي هذا معايا الخمسة و بمشي
+
+218
+00:17:37,490 --> 00:17:44,490
+وجدت في كل خطوة و أنا راجع طلعتش بسوي لأن أنا عملت
+
+219
+00:17:44,490 --> 00:17:52,990
+assignment بزيح في كل خطوة و هو راجع الـ Jplus one
+
+220
+00:17:52,990 --> 00:17:59,050
+بدأ تاخد ال J يعني هذا الرقم بده ييجي هنا اول شي
+
+221
+00:17:59,050 --> 00:18:03,310
+هاي الخمسة بده اقارنها بال تمانية اصغر يبقى بده
+
+222
+00:18:03,310 --> 00:18:07,850
+اكمل بس قبل ما اكمل بده اروح ارحل التمانية ازوجها
+
+223
+00:18:07,850 --> 00:18:13,230
+لقدام والخمسة مضاعتش الخمسة لسه في ال V قاعدة
+
+224
+00:18:13,230 --> 00:18:17,910
+مظبوط؟ الان معايا الخمسة بقارنها بمين؟ خلاص رجعت
+
+225
+00:18:17,910 --> 00:18:24,610
+انا J نقص واحدبهادي أصغر يبقى بدي أستمر في الرجوع
+
+226
+00:18:24,610 --> 00:18:31,090
+ولكن جبل بدي أشهر ده جدّي بالستة الان ال V مع
+
+227
+00:18:31,090 --> 00:18:36,230
+الأربعة الأربعة الأصغر هوقف اللوب هذا كلها بس جبل
+
+228
+00:18:36,230 --> 00:18:44,390
+هروح أحط من ال V ال J هنا بتأشر هحط ال V في J plus
+
+229
+00:18:44,390 --> 00:18:47,450
+one اللي هو مظبوط؟
+
+230
+00:18:49,260 --> 00:18:54,060
+فالان اجد الخمسة في المكان الصحيح تبعها فانا فكرة
+
+231
+00:18:54,060 --> 00:18:59,040
+ال loop هذه بتعمل شفرتين بتعمل انها بتبحث عن
+
+232
+00:18:59,040 --> 00:19:05,600
+المكان الصحيح للعنصر Iفي ما بين العناصر اللي جابله
+
+233
+00:19:05,600 --> 00:19:08,640
+وفي نفس الوقت قاعد بيزج فيهم واحدة ورا التانية
+
+234
+00:19:08,640 --> 00:19:12,580
+عشان توسانه المكان لما انت لاجيه لأن لو .. لو كلهم
+
+235
+00:19:12,580 --> 00:19:16,620
+أصغر .. أسف لو كلهم أكبر منها ومكانها صحيح هنا قبل
+
+236
+00:19:16,620 --> 00:19:19,940
+ما يكونو وصلت هنا هيكون كلهم دولة انزجوا واجت هي
+
+237
+00:19:19,940 --> 00:19:24,640
+لجت المكان اللي هيدا بيستنف فيهتمام فالعملية
+
+238
+00:19:24,640 --> 00:19:29,100
+بتتكرر بعد هيك خلصنا الآن نقول ان اللوب هذه بتجف
+
+239
+00:19:29,100 --> 00:19:32,800
+مجرد ما نلاقي الخمسة مكانها بنحطها و بنخرج تماما
+
+240
+00:19:32,800 --> 00:19:36,420
+من اللوب الداخلية هذه و بنرجع علشان نشوف ال I اللي
+
+241
+00:19:36,420 --> 00:19:41,580
+بعده ال I اللي بعده اللي هو هذا okay الان التسعة و
+
+242
+00:19:41,580 --> 00:19:47,870
+مجرد من أول مقارنة التسعة تمانية قل منهايبقى اصلا
+
+243
+00:19:47,870 --> 00:19:53,110
+مش هاخش على ال loop الداخلية هخرج و اكمل على ال I
+
+244
+00:19:53,110 --> 00:19:57,890
+اللي بعدها الان السابعة هتيجي لأ أصغر يبقى التسعة
+
+245
+00:19:57,890 --> 00:20:03,250
+بتتجدم السابعة جاعدة في ال V هتيجي تتقارن مع
+
+246
+00:20:03,250 --> 00:20:06,810
+التمانية أكبر يبقى التمانية بتتجدم هتيجي تقارن مع
+
+247
+00:20:06,810 --> 00:20:10,790
+الستة الستة أصغر يبقى السابعة بتتجد هنا لأ واضح
+
+248
+00:20:10,790 --> 00:20:15,510
+نفس ال issue للاتنينفي كل دورة من دورات الـ I
+
+249
+00:20:15,510 --> 00:20:24,230
+دورات الـ I أنا بعمل loop اللي هي بتبحث و بتحرك
+
+250
+00:20:24,230 --> 00:20:29,970
+هذه ال loop الأن لو بدنا نسأل عن أول شي وضحت
+
+251
+00:20:29,970 --> 00:20:33,870
+القالية العمل لو بدنا نسأل عن ال complexity الأن
+
+252
+00:20:33,870 --> 00:20:40,060
+ال loop ال ..في عندي two loops اللوب الخارجية لازم
+
+253
+00:20:40,060 --> 00:20:45,560
+تكتمل كلها من I بسا واحد لإن نقص واحد اللوب
+
+254
+00:20:45,560 --> 00:20:48,920
+الداخلي باعتمد في worst case وفي best case وفي
+
+255
+00:20:48,920 --> 00:20:52,420
+average case ايش ال worst case انهم يكونوا مش ..
+
+256
+00:20:52,420 --> 00:20:55,360
+انهم يكونوا مش بس مش مرتبين يكونوا مرتبين عكسي
+
+257
+00:20:55,360 --> 00:21:04,520
+يعني لما انا عايز ادخل يعني يعطيليهم هيك فيش
+
+258
+00:21:04,520 --> 00:21:13,630
+الخمسة في خمسةأربعة فش تلاتة اجعل التسعة اجعل
+
+259
+00:21:13,630 --> 00:21:20,490
+التمانية تمانية لازم تيجي قبل التسعة صح اجعل
+
+260
+00:21:20,490 --> 00:21:24,970
+السبعة لازم ارجح all the way للبداية اجعل الستة
+
+261
+00:21:24,970 --> 00:21:28,150
+برضه all the way للبداية يبقى في كل دورة من دورات
+
+262
+00:21:28,150 --> 00:21:33,570
+ال while ال J يعني في تحريك في بحث وفي تحريك ده لف
+
+263
+00:21:33,570 --> 00:21:38,120
+عليهم كلهموهذا نفس الشيء اللي شفناه قبل هيكل هو ان
+
+264
+00:21:38,120 --> 00:21:45,940
+ال I تمشي N مقص واحد من المرات وفي كل مرة في
+
+265
+00:21:45,940 --> 00:21:51,500
+بداخلها Loop اللوب هذه أول شي بتبدأ بعنصر في ال I
+
+266
+00:21:51,500 --> 00:21:54,800
+التاني بيصير عنصرين في ال I التالت بيصير تلاتة
+
+267
+00:21:54,800 --> 00:22:00,020
+يعني في عندي Loop الداخلي بتتنفس تتكرر
+
+268
+00:22:01,720 --> 00:22:09,580
+أو باخش .. ب .. ب .. بكرر هذه ال loop I نقص .. N
+
+269
+00:22:09,580 --> 00:22:14,320
+نقص واحد من المرات في كل مرة بتزيد ففي عندي متتالي
+
+270
+00:22:14,320 --> 00:22:21,040
+واحد اتنين تلاتة لغاية ايش اخر مرة .. اخر مرة
+
+271
+00:22:21,040 --> 00:22:24,200
+بتتنفس فيها ال Y loop بت .. بتلف N نقص واحد من
+
+272
+00:22:24,200 --> 00:22:27,300
+المرات و هذا المتتالي معروف في الآخر ال summation
+
+273
+00:22:27,300 --> 00:22:34,520
+تبعهاعلى اتنين يبقى نعم يبقى ال complexity هذا في
+
+274
+00:22:34,520 --> 00:22:41,400
+ال worst case في ال worst case big theta of n
+
+275
+00:22:41,400 --> 00:22:46,860
+square واضح
+
+276
+00:22:46,860 --> 00:22:52,020
+ال best case انه تبقى مرتبين و خالصين يبقى صح بلف
+
+277
+00:22:52,020 --> 00:22:59,060
+ال I loop كلها لكن ولا مرة بدخل في ال جي loopمصبوط
+
+278
+00:22:59,060 --> 00:23:02,580
+ولا مرة يبجي انا بس مجرد بنتقل على عناصر بجف على
+
+279
+00:23:02,580 --> 00:23:07,320
+عنصر بعمل مقارنة واحدة اللي هي راس اللوب هذه بلاقي
+
+280
+00:23:07,320 --> 00:23:12,500
+انه already هو جاي في مكانه الصحيح فبسوي .. بخشش
+
+281
+00:23:12,500 --> 00:23:17,920
+.. بنتقل على اللي بعده فعندي ايش ال C best ساوي
+
+282
+00:23:17,920 --> 00:23:27,380
+ايش N مصبوط N او N ناقص واحد بعملالـ C average انه
+
+283
+00:23:27,380 --> 00:23:32,960
+يكون ما بين البيانين يعني ما بين ال N و ال N تربية
+
+284
+00:23:32,960 --> 00:23:46,880
+اللي هو N على 2 N على 2 ان انا C average ساوي انه
+
+285
+00:23:46,880 --> 00:23:54,720
+N تكون انه عدد مرات يساوي نص ال C worst
+
+286
+00:23:58,510 --> 00:24:03,310
+الـ Algorithm تعمل نص عدد مرات اللي تعمل في ال
+
+287
+00:24:03,310 --> 00:24:08,670
+worst case المعنى ذلك ال complexity هتكون ايش بدل
+
+288
+00:24:08,670 --> 00:24:14,530
+ال N بحط N على 2 و مربع بيطلع ايش N square على 4
+
+289
+00:24:14,530 --> 00:24:20,810
+اللي في الآخر برضه بتصف تصف تصنيفها big theta of N
+
+290
+00:24:20,810 --> 00:24:21,210
+square
+
+291
+00:24:24,770 --> 00:24:29,250
+واضح ليش الأربعة أجت لأنه أنا اعتبرت أنه عدد مرات
+
+292
+00:24:29,250 --> 00:24:35,730
+التنفيذ هو نص عدد مرات ال worst case okay فعوضت ب
+
+293
+00:24:35,730 --> 00:24:41,570
+N المحل ال N حطيت N على 2 دخلها في المعادلة هيطلع
+
+294
+00:24:41,570 --> 00:24:45,930
+ربع N square okay
+
+295
+00:24:45,930 --> 00:24:52,590
+إلا
+
+296
+00:24:52,590 --> 00:24:58,810
+فيما يتعلق بالأمور التانية ال space لأنه ال array
+
+297
+00:24:58,810 --> 00:25:01,550
+هي نفسها اللي بتخش هي نفسها اللي بنشتغل عليها
+
+298
+00:25:01,550 --> 00:25:05,750
+فبنقول ال space efficiency in place يعني ما بزيد
+
+299
+00:25:05,750 --> 00:25:09,610
+عن ما بزيد ال size عن ال size اللي أصلا تبع ال
+
+300
+00:25:09,610 --> 00:25:13,330
+array ال input stability إيش قولنا stability قبل
+
+301
+00:25:13,330 --> 00:25:17,610
+هيك أتذكروا؟ شو يعني stability؟ يعني أنه دايما ال
+
+302
+00:25:17,610 --> 00:25:24,660
+algorithm بتطلع نفس الجواب لنفس المسألةمش ممكن
+
+303
+00:25:24,660 --> 00:25:28,120
+اعطيها هذه ال array و مرة تعطيني ترتيب و مرة
+
+304
+00:25:28,120 --> 00:25:38,040
+تعطيني ترتيب اخر okay الان
+
+305
+00:25:38,040 --> 00:25:41,400
+هنا elementary best elementary بمعنى انه ال sizes
+
+306
+00:25:41,400 --> 00:25:45,660
+اللي هي البسيطة
+
+307
+00:25:45,660 --> 00:25:49,680
+ال sizes الكبيرة عشان انا in square بصير ال
+
+308
+00:25:55,250 --> 00:26:01,070
+Okay طيب okay هذا بالنسبة للي هو ال insertion sort
+
+309
+00:26:01,070 --> 00:26:05,490
+مايعنينا ال time efficiency وكيف ال algorithm
+
+310
+00:26:05,490 --> 00:26:09,930
+بتشتغل وكيف هي جاي مثال على ال decrease and
+
+311
+00:26:09,930 --> 00:26:14,430
+conquer أو ال incremental approach لأنه تدرجيا
+
+312
+00:26:14,430 --> 00:26:18,890
+حلنا المسألة على أساس التدرج من حالة بسيطة إلى
+
+313
+00:26:18,890 --> 00:26:25,060
+اللي بعدهاطيب المثال التاني اللي هو ال topological
+
+314
+00:26:25,060 --> 00:26:29,520
+sorting .. topological sorting احنا كنا قبل هيك في
+
+315
+00:26:29,520 --> 00:26:34,940
+المحاضرة الماضية طلعنا على اللي هو ال graphs وقلنا
+
+316
+00:26:34,940 --> 00:26:43,540
+انه ال graphs بيبقى فيها cycles لما يكون
+
+317
+00:26:43,540 --> 00:26:50,000
+في عندي .. بقول مثلا هذا ال graph .. هذا ال cycle
+
+318
+00:26:50,000 --> 00:26:59,520
+ولا لأ؟لأن في عندي مسار من A ل C ل D، ليش؟ لأ،
+
+319
+00:26:59,520 --> 00:27:02,560
+كيف؟
+
+320
+00:27:02,560 --> 00:27:08,500
+هي هذه، بعدين هذه، بعدين هذه، مش فيه edge؟ ال edge
+
+321
+00:27:08,500 --> 00:27:12,900
+هذي directed، فيه سهم، اللي شفناها قبل هيك ماكانش
+
+322
+00:27:12,900 --> 00:27:16,860
+فيه directions، لو مافيش أسهم هذي، أه فعلا، فيه
+
+323
+00:27:16,860 --> 00:27:20,960
+cycleصح؟ بس الأسهم هذه بتقوللي أنه بقدر أروح من
+
+324
+00:27:20,960 --> 00:27:24,020
+هنا و بقدر أروح من هنا لإنه لكن هذا ال science فيش
+
+325
+00:27:24,020 --> 00:27:29,380
+لأ بقدر أروح هيك أنا مابقدرش أروح هيك صح؟هذه وهذه
+
+326
+00:27:29,380 --> 00:27:33,900
+وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه
+
+327
+00:27:33,900 --> 00:27:33,900
+وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه
+
+328
+00:27:33,900 --> 00:27:33,920
+وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه وهذه
+
+329
+00:27:33,920 --> 00:27:43,740
+وهذه هذه هذه هذه هذه هذه هذه هذه هذه هذه هذن هذن
+
+330
+00:27:43,740 --> 00:27:46,120
+هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن
+
+331
+00:27:46,120 --> 00:27:50,340
+هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن
+
+332
+00:27:50,340 --> 00:27:50,340
+هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن هذن
+
+333
+00:27:50,340 --> 00:27:53,640
+هذن هذن هذن هذن هذن
+
+334
+00:27:53,640 --> 00:27:58,670
+هذيمكن الانتقال هدول اتنين directed لكن واحد منهم
+
+335
+00:27:58,670 --> 00:28:03,250
+Cyclic والتاني acyclic الـ acyclic يعني اللي مافيش
+
+336
+00:28:03,250 --> 00:28:09,890
+فيه cycle اللي هو هذا فهذا directed اه
+
+337
+00:28:09,890 --> 00:28:14,370
+acyclic agraph
+
+338
+00:28:14,370 --> 00:28:22,150
+دهك هداك مش acyclic لأنه cyclic مش acyclic يعني
+
+339
+00:28:22,150 --> 00:28:26,120
+cyclic okayتمام فإحنا الأن إيش بيعنينا من هذا
+
+340
+00:28:26,120 --> 00:28:29,320
+القمر؟ بيعنينا إنه في حاجة اسمها ال topological
+
+341
+00:28:29,320 --> 00:28:34,080
+sorting أنه بيبقى .. أحيانا ال graph هذا بيمثل نوع
+
+342
+00:28:34,080 --> 00:28:37,360
+من التباعية زي مثلا على سبيل المثال إيش يعني
+
+343
+00:28:37,360 --> 00:28:45,100
+التباعية؟ يعني في .. زي هنا مثلا ال human ب .. هذي
+
+344
+00:28:45,100 --> 00:28:48,480
+ال food chain إيش عن ال food chain؟ أن مين بيأكل
+
+345
+00:28:48,480 --> 00:28:51,420
+مين ال human بيأكل ال wheat و ال tiger بيأكل ال
+
+346
+00:28:51,420 --> 00:28:57,900
+human صح؟اليوم اللي بيأكل ال sheep و ال .. صح؟ ال
+
+347
+00:28:57,900 --> 00:29:02,500
+shrimp بيأكل ال fish السمك بيأكل ال jamboree و ال
+
+348
+00:29:02,500 --> 00:29:07,000
+tiger بيأكل .. المهم هاي المقصود بال .. بالتبعية
+
+349
+00:29:07,000 --> 00:29:11,400
+في مثال آخر اللي هو .. خليني أشوف هنا اللي هو في
+
+350
+00:29:11,400 --> 00:29:15,680
+عندنا مجموعة من المساقات و المساقات هذه التبعية
+
+351
+00:29:15,680 --> 00:29:20,860
+اللي ما بينهم انه بعض منهم prerequisite يعني متطلب
+
+352
+00:29:20,860 --> 00:29:27,750
+سابق لبعض الآخر هيهذا الـ graph الأصلي اللي بيعبر
+
+353
+00:29:27,750 --> 00:29:32,430
+عن المثلة التابعة ان C3 لها prerequisite هدول
+
+354
+00:29:32,430 --> 00:29:37,950
+المساقين course 1 و course 2 هي نفس course رقم 3
+
+355
+00:29:37,950 --> 00:29:44,830
+prerequisite ل 4 و prerequisite ل 5 C5 له متطلبين
+
+356
+00:29:44,830 --> 00:29:50,330
+C4 و C3 C4 له متطلب 1 و C3 هدوله ليسوا متطلبات
+
+357
+00:29:50,330 --> 00:29:54,260
+سابقة ال topological sortingإذا قدّي أنا graph زي
+
+358
+00:29:54,260 --> 00:30:00,860
+هيك و هذه ال edges بترمز إلى تبعية أو واحد منهم
+
+359
+00:30:00,860 --> 00:30:05,420
+بيعتمد على الآخر فلما أنا أطلب اللي هو ال sorting
+
+360
+00:30:05,420 --> 00:30:11,360
+topological sorting يعني بدي listed العناصر هذه أو
+
+361
+00:30:11,360 --> 00:30:19,260
+ال nodes هذه مرتبين بحيث انهماخرقش التبعية يعني
+
+362
+00:30:19,260 --> 00:30:29,440
+مايجيش مثلا C3 و تحطيلي C5 قبلها ليش؟ لأنه .. لأن
+
+363
+00:30:29,440 --> 00:30:32,820
+الـ C3 المفروض تيجي قبل الـ C5 لأن في تبعية فيها
+
+364
+00:30:32,820 --> 00:30:37,800
+دلوقتي جانب okay فالطبيعي أو يعني الحل أو أحد
+
+365
+00:30:37,800 --> 00:30:45,340
+الحلول أنه يجي أجوا C1 C2بعدين أضيف C3 و بعدين
+
+366
+00:30:45,340 --> 00:30:55,120
+أضيف C4 و C5 هذا الترتيب لا يخالف أو لا ينقض
+
+367
+00:30:55,120 --> 00:31:04,360
+المتطلب السابق برضه
+
+368
+00:31:04,360 --> 00:31:09,760
+لو انا ارتبتهم زي هيك برضه يجوز لأن الترين هذولة
+
+369
+00:31:09,760 --> 00:31:11,980
+مافيش بينهم تبعي لو أجي واحد منهم جاب الترين مش
+
+370
+00:31:11,980 --> 00:31:16,870
+مشكلةبس لازم التنين يجوا قبل C3 لأنه متطلب سابق لـ
+
+371
+00:31:16,870 --> 00:31:24,650
+C3 و C3 لازم يجي قبل C4 أو قبل C5 و C4 لازم يجي
+
+372
+00:31:24,650 --> 00:31:30,210
+قبل C5 فدولة
+
+373
+00:31:30,210 --> 00:31:34,450
+two possible solutions في غيرهم؟ هذا solution جائز
+
+374
+00:31:34,450 --> 00:31:39,850
+و هذا جائز؟ في غيرهم؟ ماعتقدش المهم أن هذه المسألة
+
+375
+00:31:39,850 --> 00:31:46,400
+لو بد أنا أحلهاممكن أحلها بـ Algorithm تمشي بالـ
+
+376
+00:31:46,400 --> 00:31:51,940
+Decrease and conquer approach بإنه احنا عايش نجي
+
+377
+00:31:51,940 --> 00:31:55,860
+نقول طيب هم الخمسة لو شيلنا منهم واحد و طلعنا على
+
+378
+00:31:55,860 --> 00:32:00,360
+الباقين كيف ن .. هذا و بعدين شوفنا هذا الخمس اللي
+
+379
+00:32:00,360 --> 00:32:06,660
+شيلناه كيف ندمجه مع الحل تبع الأربع الأربع هدولة
+
+380
+00:32:06,660 --> 00:32:14,240
+كيف نشيل منهم واحد و التلاتة الباقينانحلهم وبعدين
+
+381
+00:32:14,240 --> 00:32:18,180
+ندمج الربح هذا على الحل تبعهم بشكل incremental او
+
+382
+00:32:18,180 --> 00:32:22,320
+decrease and conquer فببساطة شديدة انا مقدر اقعد و
+
+383
+00:32:22,320 --> 00:32:28,260
+اقول خلينا نشيل هذه الخمسة خلينا نبدأ نشيل و نبدأ
+
+384
+00:32:28,260 --> 00:32:32,980
+من مين؟ من ال leaf nodes ال leaf nodes هنا بمعنى
+
+385
+00:32:32,980 --> 00:32:36,660
+ايش؟ بمعنى ال nodes اللي مالهاش source مش اللي
+
+386
+00:32:36,660 --> 00:32:41,720
+مالهاشDestination مادياش sources هدى هدى C1 و C2
+
+387
+00:32:41,720 --> 00:32:44,660
+ماليهم مش prerequisites ماليهم مش متضالب سابق
+
+388
+00:32:44,660 --> 00:32:48,520
+فبشيل اي واحد منهم وبعدين بتعامل مع الاربع اللي
+
+389
+00:32:48,520 --> 00:32:54,300
+بعد هاي هنا عندى
+
+390
+00:32:54,300 --> 00:33:01,980
+هاي
+
+391
+00:33:01,980 --> 00:33:10,210
+الأصل الخمسة زي ما هم شيلنا منهم هذاهدولة okay
+
+392
+00:33:10,210 --> 00:33:14,590
+بعدين جينا على مين جينا على هذا شيلنا ضال التلاتة
+
+393
+00:33:14,590 --> 00:33:20,250
+هدولة الان مين بده نشيل C3 لأنه مالوش source C4
+
+394
+00:33:20,250 --> 00:33:25,050
+لها source و C5 لها source صح ولا C4 من ال source
+
+395
+00:33:25,050 --> 00:33:32,370
+بحها C3 و C5 هو برضه C3 تمام هنا شيلنا C3 ضاله C4
+
+396
+00:33:32,370 --> 00:33:37,850
+و C5 شيلنا اربع فالان هذا الترتيب ال deletionترتيب
+
+397
+00:33:37,850 --> 00:33:42,350
+الإزاء المسح خلاص هو بيطلع معانا في الآخر الترتيب
+
+398
+00:33:42,350 --> 00:33:49,430
+المطلوب هو ال sorting المطلوب okay
+
+399
+00:33:49,430 --> 00:33:54,910
+فشيلنا هذا فبيجي هذا في الأول بعدين هذا بعدين هذا
+
+400
+00:33:54,910 --> 00:34:00,950
+بعدين أربعة بعدين خمسة
+
+401
+00:34:00,950 --> 00:34:04,950
+على الفكرة ممكن اتعامل مع المثل هذه بدون decrease
+
+402
+00:34:04,950 --> 00:34:07,930
+and conquerبس أول شي واضح ال decrease on conquer
+
+403
+00:34:07,930 --> 00:34:11,870
+cave ان انا أخدت smaller instances of the problem
+
+404
+00:34:11,870 --> 00:34:15,910
+هاي ال problem هاي ال instance الأصلية أخدت منها
+
+405
+00:34:15,910 --> 00:34:18,890
+smaller ..smaller انه انا شيلت واحد مش احنا لسه
+
+406
+00:34:18,890 --> 00:34:22,290
+كله الأمثلة ده كلها جاي في decrease by one
+
+407
+00:34:22,290 --> 00:34:25,410
+decrease by one مش decrease by constant factor ولا
+
+408
+00:34:25,410 --> 00:34:28,510
+variable size decrease by one فانا بسطت ال
+
+409
+00:34:28,510 --> 00:34:31,770
+instance الأصلية ال instance أبسط منها بإزالة واحد
+
+410
+00:34:31,770 --> 00:34:38,630
+ماشي اتعملت معاها ديبالنفس المنهجين هشيل منها واحد
+
+411
+00:34:38,630 --> 00:34:42,550
+هشيل منها واحد الان ال solution تبع الأخيان انه
+
+412
+00:34:42,550 --> 00:34:49,130
+هذا دمجت عليه اللي فلته بان بس مجرد وضعته قبله
+
+413
+00:34:49,130 --> 00:34:55,430
+okay هاي ال solution تبع أبسط instance دمجت عليه
+
+414
+00:34:55,430 --> 00:35:01,250
+C4 دمجت عليه الأنصار التالت الان هذا ال solution
+
+415
+00:35:01,250 --> 00:35:04,990
+تبع مين هدول اتنين مع بعض هم ال solution تبع هذا
+
+416
+00:35:06,020 --> 00:35:09,600
+ماشي طيب ال solution تبع التلاتة هو اني ادمج عليهم
+
+417
+00:35:09,600 --> 00:35:15,380
+ادمج على الاتنين هدولة الانصار اللي انشاله C3 هذا
+
+418
+00:35:15,380 --> 00:35:21,060
+هيك على بعضه ال solution تبع التلاتة بتضيف معاهم
+
+419
+00:35:21,060 --> 00:35:28,820
+ال C2 صار هذا ال solution تبع الاربع وهذا C1 واضح؟
+
+420
+00:35:30,060 --> 00:35:35,140
+مرة اخرى بقول انه ممكن احنا نسويها نحلها بدون
+
+421
+00:35:35,140 --> 00:35:39,760
+decrease and conquer بال breadth first او ال depth
+
+422
+00:35:39,760 --> 00:35:44,740
+first traversal اذا بتذكروا في breadth first او
+
+423
+00:35:44,740 --> 00:35:49,780
+depth first traversal بنحطهم احنا ال graph بناخدهم
+
+424
+00:35:49,780 --> 00:35:55,970
+و بنمشي في .. بنحطهم على stackوبعدين بنطلع من ال
+
+425
+00:35:55,970 --> 00:35:59,690
+stack ففي عندي insertion order وفي عندي popping
+
+426
+00:35:59,690 --> 00:36:02,770
+order اللي هو كيف بدخل عليك ال stack اللي هم ترتيب
+
+427
+00:36:02,770 --> 00:36:09,490
+و بخرجهم من ال stack اللي هم ترتيب فاحنا لو جينا
+
+428
+00:36:20,300 --> 00:36:25,020
+إحنا وقت إيش بنطلع ال node من ال stack لبن اللي هي
+
+429
+00:36:25,020 --> 00:36:31,840
+إنها dead end أو leaf node، مظبوط؟ فلو أنا أخدت ال
+
+430
+00:36:31,840 --> 00:36:36,300
+graph هذا من أي node، أقول مثلا من تلاتة أو من
+
+431
+00:36:36,300 --> 00:36:40,420
+خمسة أو من أربعة، حقاجي أحطها، أنا لأ مش معني
+
+432
+00:36:40,420 --> 00:36:44,300
+بترتيب دخولهم على ال stack، أقول مثلا دخلة C3،
+
+433
+00:36:44,300 --> 00:36:52,150
+الآن ال C3 أشبه C5 وC4بقول مثلا روحت على C5 و صرت
+
+434
+00:36:52,150 --> 00:37:01,210
+في الـ C5 او روحت على C4 C4 و لجيت بتفارع منها C5
+
+435
+00:37:01,210 --> 00:37:09,130
+كمان اه
+
+436
+00:37:09,130 --> 00:37:16,290
+بعد ذلك خلصنا صح لازم ارجع تاني و اكمل على C1
+
+437
+00:37:16,290 --> 00:37:21,570
+فاحنا خليني ناخدهم ترتيب الدخولمش هو المهم المهم
+
+438
+00:37:21,570 --> 00:37:26,390
+انه اعتبريهم هم الموجودين على ال stack كيف بيطلع و
+
+439
+00:37:26,390 --> 00:37:31,270
+مين اللي هيطلع في الأول هيطلع اللي مالوش children
+
+440
+00:37:31,270 --> 00:37:36,550
+صح اللي مالوش children اللي هو هادية اول واحدة
+
+441
+00:37:36,550 --> 00:37:42,850
+هتطلع مصبوط okay خلينا نقول ان احنا بدأنا من
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g.srt
new file mode 100644
index 0000000000000000000000000000000000000000..694efdb27f6f72e83918106269a3408090418b5a
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g.srt
@@ -0,0 +1,1476 @@
+1
+00:00:21,090 --> 00:00:23,090
+بسم الله الرحمن الرحيم، الصلاة والسلام على أشرف
+
+2
+00:00:23,090 --> 00:00:26,030
+المرسلين. اليوم إن شاء الله نكمل في الـ section .. في
+
+3
+00:00:26,030 --> 00:00:28,950
+chapter تسعة، section تسعة ثلاثة و تسعة أربعة. إن
+
+4
+00:00:28,950 --> 00:00:32,450
+شاء الله، تسعة ثلاثة بتناول خوارزمية مشهورة، اللي هي
+
+5
+00:00:32,450 --> 00:00:38,210
+Dijkstra's algorithm. Dijkstra أو ديكسترا بتتعامل مع
+
+6
+00:00:38,210 --> 00:00:41,450
+مسألة غير اللي شفناها في section تسعة واحد و تسعة
+
+7
+00:00:41,450 --> 00:00:44,310
+اتنين. تسعة واحد و تسعة اتنين إيش كانت؟ اللي هو الـ
+
+8
+00:00:44,310 --> 00:00:48,030
+spanning tree problem. مظبوط. في تسعة ثلاثة هنا الـ
+
+9
+00:00:48,030 --> 00:00:51,650
+problem هي الـ single source shortest path problem.
+
+10
+00:00:51,650 --> 00:00:55,750
+يعني بمعنى آخر، أنه لما يكون في عندي graph، و الـ
+
+11
+00:00:55,750 --> 00:00:59,530
+graph هذا زي هذا مثلاً، مش عارف واضح ولا لأ، المهم
+
+12
+00:00:59,530 --> 00:01:03,490
+أنه أنا عندي source محدد، اللي هي الـ A مثلاً، و من A
+
+13
+00:01:03,490 --> 00:01:09,450
+بدأ أحسب أقصر مسار منها إلى كل واحدة منها .. إلى كل
+
+14
+00:01:09,450 --> 00:01:13,410
+واحد من الـ vertices الأخرى. يعني بدي أعرف لـ B إيش
+
+15
+00:01:13,410 --> 00:01:17,190
+أقصر مسار، و بدي أعرف لـ D إيش أقصر مسار، و لـ C كذلك
+
+16
+00:01:17,190 --> 00:01:22,830
+و لـ E كذلك. فهي single source multiple shortest paths.
+
+17
+00:01:22,830 --> 00:01:27,310
+shortest path من هذا الـ source إلى كل واحدة
+
+18
+00:01:27,310 --> 00:01:30,790
+shortest path لـ B و shortest path لـ D. فعندي ..
+
+19
+00:01:30,790 --> 00:01:37,230
+بتطلع لي family of paths، مجموعة من الـ paths كلهم
+
+20
+00:01:37,870 --> 00:01:43,290
+optimum، كلهم shortest. طيب، بسيطة جداً، يعني على الرغم
+
+21
+00:01:43,290 --> 00:01:46,830
+من الـ wow. فيه قبل ما أنسى، فيه من هذه الـ problem
+
+22
+00:01:46,830 --> 00:01:51,210
+هذه إحنا إيش بنسميها؟ قلنا single source shortest
+
+23
+00:01:51,210 --> 00:01:58,590
+path problem. ممكن المسألة هذه أوسع منها، أنه نسأل
+
+24
+00:01:58,590 --> 00:02:03,490
+من كل الـ nodes إلى كل الـ nodes الأخرى. يعني آجي
+
+25
+00:02:03,490 --> 00:02:09,310
+أقول من الـ A إلى الـ B، من الـ A إلى الـ C، من الـ A
+
+26
+00:02:09,310 --> 00:02:12,450
+إلى الـ D، و أيضاً كمان من الـ B إلى الـ D، يعني من
+
+27
+00:02:12,450 --> 00:02:19,150
+كل زوج .. من كل زوج من الـ nodes، إيش أقصر مسار؟
+
+28
+00:02:19,150 --> 00:02:22,110
+أقصر مسار ما بين هذا .. الـ nodes سبعة هذا الزوج،
+
+29
+00:02:22,110 --> 00:02:28,910
+هذا اسمه All Pairs Shortest Path. بس اللي عندنا
+
+30
+00:02:28,910 --> 00:02:34,700
+إحنا هنا Single Source Shortest Path. اللي بيذكر الـ
+
+31
+00:02:34,700 --> 00:02:38,300
+Prim's Algorithm، بيصير الـ Dijkstra's Algorithm بسيطة
+
+32
+00:02:38,300 --> 00:02:42,760
+جداً. ليش؟ لأنه بيتمّ على نفس أسلوب الـ Prim's بس
+
+33
+00:02:42,760 --> 00:02:47,060
+بيغيّر شغلة بسيطة، اللي تعطيلي الـ path. طلعي على اللي
+
+34
+00:02:47,060 --> 00:02:51,300
+هو الـ problem هادي، و خلينا في الأول نحلها على أساس
+
+35
+00:02:51,300 --> 00:02:54,520
+إنها Prim's Algorithm. يعني الـ problem اللي هي الـ
+
+36
+00:02:54,520 --> 00:02:57,720
+spanning tree، إن إحنا بدنا نطلع الـ spanning tree
+
+37
+00:02:58,470 --> 00:03:02,530
+لها هذا الـ graph. مش single source short space.
+
+38
+00:03:02,530 --> 00:03:06,570
+spanning tree. إيش كنا بنسوي في الـ Prim's algorithm؟
+
+39
+00:03:06,570 --> 00:03:09,390
+كنا بنيجي بنختار شوية، إحنا لأن مش هنختار شوية
+
+40
+00:03:09,390 --> 00:03:18,130
+هنختار الـ A، ونقول بنا نقيم من الـ nodes الأخرى
+
+41
+00:03:18,130 --> 00:03:23,770
+دلوقت.
+
+42
+00:03:23,770 --> 00:03:30,540
+نقول أنه الـ .. خلينا نشرح هنا، إن الـ A منها إلى B
+
+43
+00:03:30,540 --> 00:03:34,380
+ومنها إلى D مافيش غير هيك edges. منها إلى B قداش
+
+44
+00:03:34,380 --> 00:03:38,840
+التكلفة ثلاثة، وإلى D سبعة. طبعاً ثلاثة عبر A نفسها
+
+45
+00:03:38,840 --> 00:03:43,060
+و D عبر A نفسها أيضاً. مظبوط. الآن إيش هنسوي؟ و الباقين
+
+46
+00:03:43,060 --> 00:03:47,160
+الـ C و الـ E هنعتبرهم infinity لأنهم مش أصلاً
+
+47
+00:03:47,160 --> 00:03:50,500
+شايفينهم. الآن إحنا مش شايفينهم. فإيش هنسوي الآن؟
+
+48
+00:03:50,500 --> 00:03:57,320
+هناخد الـ minimum ونضمها لـ الـ A. من الـ minimum الـ B.
+
+49
+00:03:58,070 --> 00:04:01,890
+Okay. طبعاً
+
+50
+00:04:01,890 --> 00:04:07,190
+الآن انضمت الـ B، فبنصير إيش نسوي؟ إيش نعمل؟ بناخد
+
+51
+00:04:07,190 --> 00:04:12,150
+الـ edges اللي طالعة، وعلى أساسها نقيم الباقيين
+
+52
+00:04:12,150 --> 00:04:15,230
+الباقين، الـ C و الـ D و الـ E. الآن الـ C كانت
+
+53
+00:04:15,230 --> 00:04:19,870
+infinity، صارت الآن بشوفها عبر إيش؟ عبر الـ B بتكلفة
+
+54
+00:04:19,870 --> 00:04:26,590
+كده؟ أربعة. مظبوط. الـ D في two edges وصلها، واحدة
+
+55
+00:04:27,430 --> 00:04:31,470
+اتنين، واحدة سبعة، اتنين عبر الـ B، والسبعة عبر الـ
+
+56
+00:04:31,470 --> 00:04:37,590
+إيش؟ عبر الـ A. مين الأقل؟ بسجلها، الاتنين. عبر مين؟
+
+57
+00:04:37,590 --> 00:04:43,690
+عبر .. اتنين.
+
+58
+00:04:43,690 --> 00:04:49,970
+عبر .. عبر مين؟ رايحة على الـ D عبر مين؟
+
+59
+00:04:49,970 --> 00:04:57,380
+من الـ B؟ من وين جاي الاتنين؟ من الـ B. تمام. Okay. الآن
+
+60
+00:04:57,380 --> 00:05:03,020
+هعمل حسبة، أحكاية الـ minimum، وأخد
+
+61
+00:05:03,020 --> 00:05:08,420
+صح، ما يدخلنا
+
+62
+00:05:08,420 --> 00:05:15,920
+الـ D. الآن الـ C و الـ E. الـ C صار في عندي path جديد، ده غير
+
+63
+00:05:15,920 --> 00:05:19,240
+الأولانية، بس تكلفة تبعت أعلى من الأولانية، فبخليها
+
+64
+00:05:19,240 --> 00:05:23,000
+الأولانية زي ما هي، اللي هي أربعة عبر B. الـ E صارت تشوف
+
+65
+00:05:23,000 --> 00:05:24,820
+الآن، و جاي لها اتنين.
+
+66
+00:05:32,330 --> 00:05:38,570
+نعم، ستشوفها عبر بس هذه، هذه لسه out صح؟ فالـ E قداش
+
+67
+00:05:38,570 --> 00:05:43,230
+تكلفتها أربعة، عبر مين؟ عبر الـ D. ناخد واحدة من
+
+68
+00:05:43,230 --> 00:05:47,490
+الاتنين، مش خلاف صح؟ ناخد الـ C في الأول.
+
+69
+00:05:55,350 --> 00:06:02,050
+الـ C، لأن بشوف الـ E عبر two edges بتظهر الأربعة
+
+70
+00:06:02,050 --> 00:06:07,110
+هي الأقل. خلاص بناخدها. Okay. Okay. لأن إحنا هذا
+
+71
+00:06:07,110 --> 00:06:09,270
+Prim's algorithm، على أساس إن أنا بطلع spanning
+
+72
+00:06:09,270 --> 00:06:15,950
+tree. بتطلع معايا الـ .. الـ طبعاً
+
+73
+00:06:15,950 --> 00:06:19,590
+لازم إن أنا أسجل كل واحدة جيتها عبر مين. يعني الـ B
+
+74
+00:06:19,590 --> 00:06:24,840
+عبر الـ A، الـ D .. الـ D دخلتها عبر مين؟ برضه عبر الـ B
+
+75
+00:06:24,840 --> 00:06:28,780
+والـ C دخلتها عبر مين؟ الأربعة اللي فوق اللي هي
+
+76
+00:06:28,780 --> 00:06:33,320
+الـ B، والـ
+
+77
+00:06:33,320 --> 00:06:39,640
+E دخلتها عبر مين؟ عبر الـ D. الـ E عبر الـ D. يمكن
+
+78
+00:06:39,640 --> 00:06:50,710
+أن الـ tree هتكون هاديء. ومين كمان؟ BA، وبعدين DB، و
+
+79
+00:06:50,710 --> 00:06:55,170
+بعدين CB، DB،
+
+80
+00:06:55,170 --> 00:07:05,110
+CB، وبعدين ED. دي دي هذي صح؟ إذا صارت لي tree كيف؟
+
+81
+00:07:05,110 --> 00:07:11,090
+A، يعني بي، والـ بي هذي إلها two children، اللي هم الـ
+
+82
+00:07:11,090 --> 00:07:17,350
+D و الـ C، و الـ D هي اللي رايحة على الـ E. هذا
+
+83
+00:07:17,350 --> 00:07:22,200
+spanning tree problem. المفروض ما إحنا ضيعناها شوية
+
+84
+00:07:22,200 --> 00:07:27,620
+فيها إطلاقاً. بس ليش أنا شرحتها على أساس أنه .. ليش
+
+85
+00:07:27,620 --> 00:07:31,420
+أنا رجعت لها على أساس أنه إحنا الـ Dijkstra's
+
+86
+00:07:31,420 --> 00:07:36,080
+algorithm ما
+
+87
+00:07:36,080 --> 00:07:40,140
+بتبعدش عنها كتير. Dijkstra's algorithm إيش بتسوي؟ نفس
+
+88
+00:07:40,140 --> 00:07:45,780
+الأشياء، بس اللهم إن الحسبة دي إحنا طبعاً لازم
+
+89
+00:07:45,780 --> 00:07:49,000
+نكون محددين الـ source في الـ problem، إن الـ source هو
+
+90
+00:07:49,000 --> 00:07:58,560
+A، أو الـ source هو B. هنا بدأنا نحسب من A إلى D، الـ
+
+91
+00:07:58,560 --> 00:08:03,840
+value اللي هنطلع عليه الآن هو كالتالي: من A إلى B
+
+92
+00:08:03,840 --> 00:08:10,640
+ثلاثة. من A إلى D سبعة. ما اختلفش إشي حتى الآن، والباقي
+
+93
+00:08:10,640 --> 00:08:17,800
+إيش؟ Infinity. طبعاً، من الثلاثة هذه عبر A، والسبعة هذه
+
+94
+00:08:17,800 --> 00:08:21,660
+برضه عبر A. هناخد برضه الـ minimum، هتيجي من الـ B.
+
+95
+00:08:21,660 --> 00:08:25,220
+الآن.
+
+96
+00:08:25,220 --> 00:08:31,540
+صارت الـ B و الـ A جوا الـ tree، والباقي لسه برا.
+
+97
+00:08:39,660 --> 00:08:43,520
+لأن بدنا نقيم اللي برا. هذه لسه مش شايفينها، فبتضلها
+
+98
+00:08:43,520 --> 00:08:47,520
+infinity. الـ C والـ D. الآن بدنا نحسب الـ cost تبعهم.
+
+99
+00:08:47,520 --> 00:08:51,240
+كنا عايشين بنقول أربعة، والـ D فيها هنا اتنين
+
+100
+00:08:51,240 --> 00:08:54,880
+وهنا سبعة. الآن في الـ Dijkstra's لأ، بنيجي بنقول الأربعة
+
+101
+00:08:54,880 --> 00:09:00,620
+أه، لكن أيضاً بنضيف عليها أربعة، عبر مين؟ عبر B. بنضيف
+
+102
+00:09:00,620 --> 00:09:06,480
+الـ cost، cost، تكلفة الوصول إلى B نفسها. أصبحت الـ
+
+103
+00:09:06,480 --> 00:09:09,940
+value تبع الـ C، أو الـ cost تبع الـ C هي عبارة عن
+
+104
+00:09:09,940 --> 00:09:14,020
+الأربعة زائد أنا جاييها عبر مين؟ عبر الـ B. الـ B
+
+105
+00:09:14,020 --> 00:09:19,120
+نفسها قداش؟ ثلاثة. وهنا نفس الأشياء. الـ D، الـ D أنا
+
+106
+00:09:19,120 --> 00:09:23,020
+في عندي two costs، في عندي هذه، وهذه. في عندي هذه
+
+107
+00:09:23,020 --> 00:09:30,020
+سبعة مباشرة، وفي عندي اتنين زائد الثلاثة، خمسة. خمسة
+
+108
+00:09:30,020 --> 00:09:35,540
+هنا خمسة، وهنا سبعة، بيبقى الخمسة أقل. خمسة، اللي هي
+
+109
+00:09:35,540 --> 00:09:41,440
+ثلاثة زائد اتنين. الآن هنا عبر مين أنا جايّة؟ عبر الـ
+
+110
+00:09:41,440 --> 00:09:48,580
+B. وهذا الـ C برضه عبر الـ B. خلاص، بعد ذلك بيبقى كل شي
+
+111
+00:09:48,580 --> 00:09:53,100
+زي ما هو. بناخد الأقل. هنا خمسة، هنا سبعة، هنا
+
+112
+00:09:53,100 --> 00:09:54,900
+infinity. بناخد هذه طبعاً، صح؟
+
+113
+00:10:02,220 --> 00:10:08,100
+أخدناها، دعنا نضمها. دي أنا
+
+114
+00:10:08,100 --> 00:10:12,220
+عامل الفاصل هذا بحيث أنه أفصل ما بين اللي دخل الـ
+
+115
+00:10:12,220 --> 00:10:16,440
+tree، واللي لسه. الآن اللي لسه، اللي هو الـ C و الـ
+
+116
+00:10:16,440 --> 00:10:23,460
+E. الـ E في عندي هنا عبر الـ D، في أربعة زائد الـ D
+
+117
+00:10:23,460 --> 00:10:32,530
+نفسها كده. ليش؟ اتنين. عند الـ source .. الـ D تكلفة
+
+118
+00:10:32,530 --> 00:10:36,670
+الوصول إليها من الـ source خمسة، خمسة زائد أربعة
+
+119
+00:10:36,670 --> 00:10:40,930
+تسعة. الـ
+
+120
+00:10:40,930 --> 00:10:45,590
+E صارت تكلفة الوصول إليها تسعة، عبر مين؟ عبر الـ D،
+
+121
+00:10:45,590 --> 00:10:50,330
+مظبوط هيك؟ في خيار آخر للوصول إلى E غير هذا الـ
+
+122
+00:10:50,330 --> 00:10:52,850
+edge؟ في هذا الـ edge، لكن هذا الـ edge جاء من الـ
+
+123
+00:10:52,850 --> 00:10:58,160
+C، والـ C لسه برا. خلاص تسعة. لأن الـ C نفسها، الـ C
+
+124
+00:10:58,160 --> 00:11:02,060
+نفسها بصير لها أنا مسارين، مسار من الـ B اللي هي
+
+125
+00:11:02,060 --> 00:11:08,200
+اللي أصلاً اللي معروفة عندي لأن .. و من الـ D، الـ D خمسة
+
+126
+00:11:08,200 --> 00:11:16,320
+زائد خمسة، عشرة. صح؟ بينما من الـ B ثلاثة زائد أربعة
+
+127
+00:11:16,320 --> 00:11:21,960
+سبعة. بتظل هي السبعة اللي أقل، أقل بالمقارنة مع مين؟
+
+128
+00:11:21,960 --> 00:11:28,730
+مع عشرة. خلاص بيفضل السبعة. سبعة عمرها بي .. لأن
+
+129
+00:11:28,730 --> 00:11:34,110
+السبعة هي الأقل، فبناخد الـ C. أخدنا
+
+130
+00:11:34,110 --> 00:11:39,690
+الـ C. الآن صارت
+
+131
+00:11:39,690 --> 00:11:42,710
+.. ضالة الـ E هي الأخيرة. الـ E الآن فيه .. فيه
+
+132
+00:11:42,710 --> 00:11:45,750
+مسارين. ده فيه two .. two links اللي جاية عليها، الـ
+
+133
+00:11:45,750 --> 00:11:49,770
+ستة و الـ أربعة. الـ ستة الآن، ستة زائد قداش؟
+
+134
+00:11:54,280 --> 00:11:59,200
+ستة، زي سبعة، تلاتة عشرة. طب لو بدي آجي من هنا، خمسة زائد
+
+135
+00:11:59,200 --> 00:12:06,060
+أربعة، تسعة. تسعة أقل، فبضلها أقل، باخدها. إذا صار أنا
+
+136
+00:12:06,060 --> 00:12:10,860
+الآن ما أخد، يعني هو الآن بعطيني الخط الغامق باين
+
+137
+00:12:10,860 --> 00:12:13,980
+عندكوا غامق. هذا الخط الغامق هي عبارة عن الـ edges
+
+138
+00:12:13,980 --> 00:12:20,560
+اللي انضمت لـ الـ tree بناءً على الـ nodes اللي الاقصر
+
+139
+00:12:20,560 --> 00:12:25,830
+يعني، طب في الآخر هيطلع معايا tree، وفعلاً هو بيقول
+
+140
+00:12:25,830 --> 00:12:32,090
+أنا عندي tree، هاي الـ tree، هاي الـ A. طب إيش طالبه؟
+
+141
+00:12:32,090 --> 00:12:35,970
+المسألة إيش بدها؟ بدها tree؟ ولا بدها مسارات؟
+
+142
+00:12:35,970 --> 00:12:40,970
+بدها المسألة إنه من الـ A شو هي أقصر مسارات، أقصر
+
+143
+00:12:40,970 --> 00:12:43,870
+مسار لكل واحد من الـ nodes الثانية. خلاص الـ tree هذا
+
+144
+00:12:43,870 --> 00:12:49,030
+بتعبر عن المسارات هذه. يعني أقصر مسار من A إلى B هو
+
+145
+00:12:49,030 --> 00:12:55,090
+هذا، وتكلفته ثلاثة. أقصر مسار من A إلى C هو هذا
+
+146
+00:12:55,090 --> 00:13:01,460
+وتكلفته ثلاثة زائد أربعة. واضح؟ فالـ Dijkstra's
+
+147
+00:13:01,460 --> 00:13:04,040
+Algorithm أو الـ Dijkstra's Algorithm و الـ Prim's
+
+148
+00:13:04,040 --> 00:13:07,900
+Algorithm بيشتغلوا تقريباً نفس الأسلوب، بيختلفوا بس
+
+149
+00:13:07,900 --> 00:13:13,280
+في الحسبة هذه. Dijkstra بتضيف له تكلفة الـ cost so
+
+150
+00:13:13,280 --> 00:13:18,080
+far، حتى المسار كله من الـ source إلى الـ node. أما
+
+151
+00:13:18,080 --> 00:13:21,620
+Prim's بس بتحسب تكلفة الـ edges، بتطلع على تكلفة الـ
+
+152
+00:13:21,620 --> 00:13:26,580
+edges، آه، الـ link المباشرة فقط. الاتنين بتطلعولي الـ
+
+153
+00:13:26,580 --> 00:13:29,300
+tree. الـ tree هذا، بفهمها علينا. خلاص هي الـ solution
+
+154
+00:13:29,300 --> 00:13:32,020
+لأن أنا أصلاً هناك طالب في الـ Prim's Algorithm
+
+155
+00:13:32,020 --> 00:13:36,160
+المسألة هي مسألة Minimum Spanning Tree Problem. فالـ
+
+156
+00:13:36,160 --> 00:13:38,900
+tree بتطلع معايا هي الحل. إنما هنا الـ tree اللي
+
+157
+00:13:38,900 --> 00:13:43,680
+بتطلع معايا باخدها على أساس إنها مجموعة مسارات من
+
+158
+00:13:43,680 --> 00:13:50,290
+A إلى كل واحدة من الـ other nodes. A إلى B، A إلى D
+
+159
+00:13:50,290 --> 00:13:54,370
+عبر B، A إلى C عبر B. واضح؟ وهي تكلفة تبعت كل واحد
+
+160
+00:13:54,370 --> 00:13:59,670
+اللي هي مجموعة الـ links. Okay. الآن كل .. بالنسبة للـ
+
+161
+00:13:59,670 --> 00:14:02,250
+efficiency، كل ما ينطبق على الـ Prim's ينطبق على الـ
+
+162
+00:14:02,250 --> 00:14:07,410
+Dijkstra، بالنسبة للـ Algorithm، هتلاقيها برضه نفس
+
+163
+00:14:07,410 --> 00:14:11,110
+الشيء، اللهم هيختلفوا في إيش؟ في هنا الحسبة، لأن
+
+164
+00:14:11,110 --> 00:14:15,590
+هنا بنقول F، بنقارن ما بين مين؟ بنقارن اللي حسبناه
+
+165
+00:14:15,590 --> 00:14:18,150
+جديد مع اللي already موجود في الـ table، عشان نشوف
+
+166
+00:14:18,150 --> 00:14:22,170
+هل نخلّي اللي في الـ table ولا نحط بداله اللي جديد؟ إيش
+
+167
+00:14:22,170 --> 00:14:26,490
+الحسبة الجديدة؟ الـ edge هذه، تكلفة الـ edge ما بين U
+
+168
+00:14:26,490 --> 00:14:32,050
+star و U، هي
+
+223
+00:19:06,250 --> 00:19:12,810
+okay فالطول يتناسب عكسيا مع الـ frequency إيش ع الـ
+
+224
+00:19:12,810 --> 00:19:16,690
+frequency يعني قد إيش متكرر هذا الرمز أو الـ symbol
+
+225
+00:19:16,690 --> 00:19:22,050
+أو الحرف في الكلام. هذا إيش فايدته؟ أني أنا لما بدي
+
+226
+00:19:22,050 --> 00:19:27,290
+أجي أرمز وأبعث إشارة فيها الكلام ده كله، هتبقى
+
+227
+00:19:27,290 --> 00:19:33,590
+الطول الإجمالي أقصر من لو أنا كل حرف أعطيته أربعة
+
+228
+00:19:33,590 --> 00:19:39,210
+كاملين ولا لا؟ آه لو أربعة... لو ثابت، معناته الـ E
+
+229
+00:19:39,210 --> 00:19:44,190
+والمش E هيبقى طول الـ code تبعها أربعة. لكن لو أنا
+
+230
+00:19:44,190 --> 00:19:48,440
+اللي متكرر اختزلته في bit واحدة، يعني الطول
+
+231
+00:19:48,440 --> 00:19:55,680
+الإجمالي للنص هذا المرمز هيبقى أقل، وهو فعلا الـ
+
+232
+00:19:55,680 --> 00:19:58,720
+Huffman coding بيستخدم كطريقة من طرق الـ
+
+233
+00:19:58,720 --> 00:20:03,320
+compression، الضغط. أنه احنا ممكن نيجي للنص معمول
+
+234
+00:20:03,320 --> 00:20:05,720
+بالـ ASCII، نروح نحوله من ASCII إلى Huffman
+
+235
+00:20:05,720 --> 00:20:12,140
+وبالتالي، أنحقق توفير في المساحة الإجمالية بنسبة
+
+236
+00:20:12,140 --> 00:20:18,630
+يعني عالية جدا. كيف بنعمل الـ variable length؟ السؤال
+
+237
+00:20:18,630 --> 00:20:24,610
+الآن، كيف أني أنا لو عندي مجموعة من الرموز أعمل الـ
+
+238
+00:20:24,610 --> 00:20:30,350
+coding تبعهم، بما يتناسب مع إيش؟ بما يتناسب طول الـ
+
+239
+00:20:30,350 --> 00:20:38,610
+codes مع الـ frequency. التناسب عكسي هيعطيك
+
+240
+00:20:38,610 --> 00:20:43,900
+مثال هنا. هي عندي نفترض حالة بسيطة جدا، عندي بس
+
+241
+00:20:43,900 --> 00:20:48,440
+الأربع symbols هدول، والفراغ، وعندي الـ frequency
+
+242
+00:20:48,440 --> 00:20:53,160
+تبعتهم، يعني في النص، عندي نص يتكون من بس الأربع
+
+243
+00:20:53,160 --> 00:20:58,460
+أحرف هدول، والفراغ. معروف أن الـ A متكرر بنسبة 35
+
+244
+00:20:58,460 --> 00:21:04,620
+% من الإجمالي عدد الأحرف اللي في النص هذا، 35% منهم
+
+245
+00:21:04,620 --> 00:21:10,620
+As والـ B 10%، والـ C. هدول إيش؟ هدول Frequencies
+
+246
+00:21:10,620 --> 00:21:14,280
+بناء على الـ Frequencies هذا، بيدعم الأكواد. هي الـ A
+
+247
+00:21:14,280 --> 00:21:19,280
+هياخد الـ code تبعه قصير، بس two bits. بينما اللي
+
+248
+00:21:19,280 --> 00:21:24,100
+منخفض الـ frequency تبعته زي هذا وزي هذا، هيبقى الـ
+
+249
+00:21:24,100 --> 00:21:28,800
+code تبعه أطول. طول الـ code يتناسب عكسيا مع الـ
+
+250
+00:21:28,800 --> 00:21:32,440
+frequency هذا.
+
+251
+00:21:32,440 --> 00:21:37,520
+المطلب الأساسي أني أعمل أكواد لمجموعة من الـ
+
+252
+00:21:37,520 --> 00:21:42,700
+symbols. أطوال الأكواد تتناسب لكل symbol عكسيا مع
+
+253
+00:21:42,700 --> 00:21:46,640
+الـ frequency تبعتهم. هذا أول شغل. الشغل الثاني أن
+
+254
+00:21:46,640 --> 00:21:51,420
+الأكواد هذه، الأكواد هذه اللي بدي أعملها، ما تبقاش
+
+255
+00:21:51,420 --> 00:21:57,800
+واحد منهم prefix لواحد آخر. يعني مثلا الـ... الـ 11
+
+256
+00:21:57,800 --> 00:22:07,480
+هذه. هل في code آخر بيبدأ بـ 11؟ لأ، لأ، صح؟ طب إيش
+
+257
+00:22:07,480 --> 00:22:12,340
+المشكلة لو... لو كان في عندي مثلا الـ... بقول مثلا
+
+258
+00:22:12,340 --> 00:22:21,880
+الـ B هذه عملناها هيك 110. هذه خلقناها 110، والباقيين
+
+259
+00:22:21,880 --> 00:22:23,440
+زي ما هم... زي ما هم.
+
+260
+00:22:27,180 --> 00:22:34,380
+لو أنا الآن بدأت أكتب كلمة مثلا bad، بدأت أضع هذا الـ
+
+261
+00:22:34,380 --> 00:22:43,940
+code الآن 110، ثم الـ a 11، ثم الـ d 01. لأن هذه كيف
+
+262
+00:22:43,940 --> 00:22:52,680
+بدأت أفهم أن هذا بـ 110، مش آخذهم الاتنين على أنهم a
+
+263
+00:22:54,520 --> 00:22:59,380
+ما هو variable، يعني مش هيقبل اتنين. هو ممكن يجيله
+
+264
+00:22:59,380 --> 00:23:02,940
+اتنين. الـ code، الـ code الواحد يبقى طوله اتنين، ممكن
+
+265
+00:23:02,940 --> 00:23:09,300
+تلاتة، أو إذا في أحرف أخرى ممكن يبقى... فإذا... إذا
+
+266
+00:23:09,300 --> 00:23:13,020
+... إذا بدي ألزقهم مع بعض، معناته لازم أفصلهم. لازم
+
+267
+00:23:13,020 --> 00:23:19,040
+أفصلهم، أحط أن والله bad هي بيه، بعدين أحط فراغ أو
+
+268
+00:23:19,040 --> 00:23:25,890
+فاصلة، أو أي شيء، بعدين الـ a، بعدين الفاصلة، بعدين إيش
+
+269
+00:23:25,890 --> 00:23:30,290
+الـ D. كأننا ما كنش استفدنا من الـ compression بالمرة.
+
+270
+00:23:30,290 --> 00:23:35,230
+الفاصلة هذه، اللي بتحطها بين كل حرف وحرف، هتكلفني في
+
+271
+00:23:35,230 --> 00:23:41,670
+المساحة الإجمالية أكتر من اللي وفرته ولا لا؟ تخيل
+
+272
+00:23:41,670 --> 00:23:45,170
+أنت مش بين كل كلمة وكلمة بتحط فاصلة، بين كل حرف و
+
+273
+00:23:45,170 --> 00:23:48,490
+حرف، والفاصلة هذه ممكن تاخد لها code أطول، يبقى
+
+274
+00:23:48,490 --> 00:23:53,390
+4 bit. ما وفرتش شيء. فأنا إذا ما قدرت أحطهم وراء بعض
+
+275
+00:23:53,390 --> 00:23:58,390
+هيك بدون... بدون شيء فاصل ما بينهم، وبحيث أن الـ...
+
+276
+00:23:58,390 --> 00:24:05,090
+الـ decoder يقدر يفهمهم بدون لخبطة، ما استفدتش حاجة.
+
+277
+00:24:05,090 --> 00:24:11,530
+بيقدر يفهمهم بدون لخبطة. بس إذا ما فيش واحد منهم جاي
+
+278
+00:24:11,530 --> 00:24:16,530
+prefix للاخر. يعني زي هيك. لأن لو أنا زي هيك بدي
+
+279
+00:24:16,530 --> 00:24:26,790
+أعمل bad، هعمله هيك P A D 01. لا يمكن هذه تنجح إلا
+
+280
+00:24:26,790 --> 00:24:31,170
+bad. ما فيش مجال. بدي أطلع على الـ bit الأولى. هل في
+
+281
+00:24:31,170 --> 00:24:37,110
+عندي code طوله واحد؟ ما فيش. يبقى ياخدها وياخد اللي
+
+282
+00:24:37,110 --> 00:24:44,870
+معها. هل في عندي code طوله اتنين، وشكله واحد زيرو؟
+
+283
+00:24:44,870 --> 00:24:49,350
+فيه.
+
+284
+00:24:49,350 --> 00:24:49,710
+ولا فيش.
+
+285
+00:24:52,620 --> 00:24:59,000
+فيش في الـ table تبعي. بدي أحط كمان واحدة 100 في الـ
+
+286
+00:24:59,000 --> 00:25:03,780
+B. خلاص باخد عليها الـ B، بعدين بيبدأ من جديد من هنا.
+
+287
+00:25:03,780 --> 00:25:09,060
+واحد فيها دي شيء بيبدأ بواحد لحاله؟ لأ. واحد واحد في
+
+288
+00:25:09,060 --> 00:25:15,500
+في. خلاص. Zero. في شيء بيبدأ بـ Zero لحاله؟ في Zero لحاله؟
+
+289
+00:25:15,500 --> 00:25:21,320
+لأ، في Zero واحد. آه، في Zero واحد. خلاص. Okay. فكونوا أن
+
+290
+00:25:21,320 --> 00:25:25,920
+الأكواد هذه غير متداخلة، ولا واحد منهم يشكل prefix
+
+291
+00:25:25,920 --> 00:25:30,860
+لآخر. يبقى هذا بيضمن أني أنا أقدر ألزقهم زي مع بعض
+
+292
+00:25:30,860 --> 00:25:35,480
+زي ما هم جايين مع بعض، والـ decoder بيقدر يحللهم بدون
+
+293
+00:25:35,480 --> 00:25:38,640
+أي مشكلة. طبعا الـ decoder لازم يبقى عنده نفس الـ
+
+294
+00:25:38,640 --> 00:25:43,910
+table. Okay. يعني الـ encoder بدي يعمل الـ table، يرمز و
+
+295
+00:25:43,910 --> 00:25:49,470
+يبني النص، ويبني الـ... هذا، ويرسل الـ data ومعها
+
+296
+00:25:49,470 --> 00:25:52,550
+الـ table. الطرف الآخر بدي ياخد الـ data والـ table و
+
+297
+00:25:52,550 --> 00:25:57,050
+يفك... ويفك الترميز. الآن السؤال، كيف يشكل الـ table
+
+298
+00:25:57,050 --> 00:26:02,190
+أو يُبنى؟ كيف بقدر أعمل code أنا ما يبقاش واحد من
+
+299
+00:26:02,190 --> 00:26:07,950
+الرموز prefix الـ code تبعه prefix ل... لآخر؟ خذ
+
+300
+00:26:07,950 --> 00:26:12,570
+لعينك هذا المثال البسيط. لو احنا الآن عملناهم على
+
+301
+00:26:12,570 --> 00:26:17,130
+شكل tree، الأكواد بنيناها بناء على الـ tree. Okay. في
+
+302
+00:26:17,130 --> 00:26:24,170
+عندي مثلا أربع خمس symbols: S0, S1, S2, S3, S4. لو
+
+303
+00:26:24,170 --> 00:26:29,070
+أنا جيت وقلت أنا هعمل tree، الشمال هعطيه رمز Zero
+
+304
+00:26:29,070 --> 00:26:32,630
+واليمين هعطيه one. كل node زي هيك، أفرع منها two
+
+305
+00:26:32,630 --> 00:26:37,420
+nodes. الـ edge الشمال 0، والـ edge اليمين 1. الآن
+
+306
+00:26:37,420 --> 00:26:43,120
+خلاص هذه الآن الـ leaf node، الـ code تبعها هو الـ
+
+307
+00:26:43,120 --> 00:26:51,720
+edges تبع المسار اللي واصل إليها. 000 هذه، 001 هذه،
+
+308
+00:26:51,720 --> 00:26:59,160
+010 صح؟ هذه الطريقة بتضمن لي، لأن ما فيش two leaf
+
+309
+00:26:59,160 --> 00:27:07,790
+nodes هياخدوا نفس الـ code، ولا حتى prefix واحد منهم
+
+310
+00:27:07,790 --> 00:27:13,730
+prefix للتاني. صح؟ يعني هذه الـ node الآن افترضناها
+
+311
+00:27:13,730 --> 00:27:20,270
+من الأساس هنا. واضحة؟
+
+312
+00:27:20,270 --> 00:27:23,730
+لما أنا بعمله على شكل الـ tree، فالآن صارت الـ... الـ
+
+313
+00:27:23,730 --> 00:27:28,420
+Huffman coding هو كيف أبني tree، والـ Tree هذه
+
+314
+00:27:28,420 --> 00:27:33,280
+تبقى مبنية على أساس برضه الـ frequency. يعني الـ node
+
+315
+00:27:33,280 --> 00:27:40,400
+اللي بتيجي أوطأ في... في... في... في مسارها طويل هي
+
+316
+00:27:40,400 --> 00:27:45,020
+الـ nodes اللي الـ frequency تبعتها عالية ولا منخفضة؟
+
+317
+00:27:45,020 --> 00:27:48,040
+اللي المسار تبعتها طويل، مسارها طويل، يعني كودها
+
+318
+00:27:48,040 --> 00:27:51,640
+طويل، اللي
+
+319
+00:27:51,640 --> 00:27:55,310
+مسارها طويل، الـ frequency تبعتها منخفضة. المسارها
+
+320
+00:27:55,310 --> 00:27:58,770
+طويل، يعني الـ code تبعها هيبقى طويل. هي الـ frequency
+
+321
+00:27:58,770 --> 00:28:02,370
+تبقى منخفضة. أما الـ frequency بتبقى عالية، بديها
+
+322
+00:28:02,370 --> 00:28:07,690
+تبقى مسارها قصير، تيجي فوق. خلاص. هذه الطريقة الآن
+
+323
+00:28:07,690 --> 00:28:14,870
+بسيطة جدا. كيف ناخد المثال هذا بناء على الـ
+
+324
+00:28:14,870 --> 00:28:19,110
+frequency هذه، أو الـ frequencies هذه، بدنا نعمل quad
+
+325
+00:28:19,110 --> 00:28:24,470
+هذه. quad هذه جاية بناء على هذه الـ frequencies.
+
+326
+00:28:24,470 --> 00:28:31,230
+باستخدام اللي هو الـ Huffman Tree. هم
+
+327
+00:28:31,230 --> 00:28:36,810
+نفسهم الخمس... الأربع أحرف، والفراغ. هذه الـ
+
+328
+00:28:36,810 --> 00:28:43,050
+frequencies جابهم مرتبين تصاعدي. أقل واحدة... نرجع
+
+329
+00:28:43,050 --> 00:28:48,350
+ثاني. أقل واحدة... إيش كنا؟ الـ B، وياها؟ الفراغ، و
+
+330
+00:28:48,350 --> 00:28:52,700
+بعدين هذول الاتنين، وبعدين الـ A، صح؟ كل واحد حطه في
+
+331
+00:28:52,700 --> 00:28:57,620
+node. الآن ياخد اتنينات ويدمج الـ zero point، الـ B مع
+
+332
+00:28:57,620 --> 00:29:01,420
+الفراغ، بشكل
+
+333
+00:29:01,420 --> 00:29:10,160
+sub
+
+334
+00:29:10,160 --> 00:29:15,840
+tree.
+
+335
+00:29:16,790 --> 00:29:21,250
+لأن هذه قد إيش frequency تبعها 0.1، وهذه 0.15. الـ
+
+336
+00:29:21,250 --> 00:29:29,410
+total تبعهم 0.25. لأن هذا الـ node بدي آخده مع
+
+337
+00:29:29,410 --> 00:29:35,450
+الأخريات اللي ضايقين بس مرتبة معاهم. فبيجي مين؟
+
+338
+00:29:35,450 --> 00:29:44,130
+بيجي مين قبل؟ اللي هي 0.2 اللي هي D. قبلها اللي هي
+
+339
+00:29:44,130 --> 00:29:54,580
+C، 0.2. B G L A 0.35، صح؟ هي تحطهم هنا مرتبين على أساس الـ
+
+340
+00:29:54,580 --> 00:29:59,540
+frequency. الآن هدول الاتنين، هو دائما بعد ما يرتب
+
+341
+00:29:59,540 --> 00:30:05,580
+دائما بياخد أول اتنين و بيدمجهم. Okay. الآن هنا أول
+
+342
+00:30:05,580 --> 00:30:09,980
+اتنين كانوا leaf nodes، وهنا leaf nodes، بعد شوية
+
+343
+00:30:09,980 --> 00:30:15,520
+هيدمج sub tree مع... مع... هدول اللي لما يندمجوا، إيش
+
+344
+00:30:15,520 --> 00:30:19,200
+بيصيروا... بيصيروا zero point. إيه، إيش؟ أربعة
+
+345
+00:30:19,200 --> 00:30:27,760
+و الثانية... وال... الـ C والـ D مظبوط؟
+
+346
+00:30:27,760 --> 00:30:30,620
+لأن الأربعة هذه حسب الترتيب اللي عند مين؟ اللي...
+
+347
+00:30:30,620 --> 00:30:34,160
+اللي ضاغط الـ... الـ هذا وهذا، هتيجي في الآخر، هتيجي
+
+348
+00:30:34,160 --> 00:30:39,850
+في الآخر هنا. هيأتي الـ 0.25 أقل واحدة أصبحت الآن، و
+
+349
+00:30:39,850 --> 00:30:43,690
+الـ 0.3 اللي هي الـ A، وبعدين الـ 0.4. هيأخذ الآن
+
+350
+00:30:43,690 --> 00:30:52,110
+هدول الاتنين، حياخدهم، وصاروا 0.6. صاروا أكبر من الـ
+
+351
+00:30:52,110 --> 00:30:59,010
+0.4، فرجعوا وراه. الآن خلاص الـ 0.4 و 0.6، خلاص لما
+
+352
+00:30:59,010 --> 00:31:02,030
+نصل لوحد، لأن هذا الـ total واحد، كل الـ frequencies
+
+353
+00:31:02,030 --> 00:31:10,070
+في الآخر بتجمع لوحد. خلاص الآن أصبحت بعض الـ nodes
+
+354
+00:31:10,070 --> 00:31:14,030
+نازلة تحت، وبعض الـ nodes فوق. اللي نازلين هم مين؟
+
+355
+00:31:14,030 --> 00:31:20,330
+اللي الـ frequencies تبعتهم ضعيفة، واللي أكثر هم
+
+356
+00:31:20,330 --> 00:31:24,290
+اللي فوق. هذا الـ 0.2 و 0.35. الآن هذا الـ code تبقى
+
+357
+00:31:24,290 --> 00:31:29,600
+الـ A هو 1 1. الـ code تبقى هدول الاتنين 1 0 0
+
+358
+00:31:29,600 --> 00:31:34,220
+1 0 1. بالظبط تلاتة. تقول الـ code هنا تلاتة،
+
+359
+00:31:34,220 --> 00:31:39,660
+هنا تقوله اتنين، هنا تقوله اتنين، اتنين. صح؟ Okay. فهي
+
+360
+00:31:39,660 --> 00:31:43,060
+كل الفكرة تبقى بساطة شديدة. الآن كيف هذا الكلام
+
+361
+00:31:43,060 --> 00:31:47,540
+بيساهم في الـ compression، أو في توفير المساحة
+
+362
+00:31:47,540 --> 00:31:51,940
+الإجمالية؟ آه، أنه لـ... لـ... لـ... آه، بدل... يعني
+
+363
+00:31:51,940 --> 00:31:56,760
+هذا الـ a، لو كلهم الآن الـ code word تبعتهم تلاتة،
+
+364
+00:31:56,760 --> 00:32:02,920
+ما أنا بذلك... ما أنا بذلك، الـ total space لو أنا عندي
+
+365
+00:32:02,920 --> 00:32:08,540
+فقرة مكونة من الأحرف هذه، الإجمالي الـ size تبع هذه
+
+366
+00:32:08,540 --> 00:32:12,640
+الفقرة هو كل حرف ضرب تلاتة، عدد الأحرف الإجمالي ضرب
+
+367
+00:32:12,640 --> 00:32:17,780
+تلاتة. لكن الآن لأ. الآن كل حرف ضرب الـ frequency
+
+368
+00:32:17,780 --> 00:32:23,620
+تبعته ضرب طول الـ code تبعه. الـ code اتنين للـ a، Okay،
+
+369
+00:32:23,620 --> 00:32:30,600
+frequency عالية لكن ضرب اتنين. هنا frequency منخفضة
+
+370
+00:32:30,600 --> 00:32:35,480
+ضرب تلاتة. فأنا يعني إيش لو أنا بدي أضرب كلهم ضرب
+
+371
+00:32:35,480 --> 00:32:39,280
+تلاتة، معناته هذا هيطلع طوله عالي، و frequency عالية
+
+372
+00:32:39,280 --> 00:32:44,120
+هياخد ووقت كتير. Okay. تمام. لأن هذا الكلام احنا ممكن
+
+373
+00:32:44,120 --> 00:32:49,940
+أكتر شيء بن... بن... بنلاحظه في الصور. خذ عندك هذا
+
+374
+00:32:49,940 --> 00:32:55,820
+الصورة كمثال. لو هذه الصورة الآن بصيت عليها، هتلاقي
+
+375
+00:32:55,820 --> 00:33:01,010
+أن الخلفية... الخلفية. أول شيء هو طبعا الصورة هذه دي
+
+376
+00:33:01,010 --> 00:33:06,690
+رمادية، يعني من 0 لـ 255. بس بنا... بنا... بنا نفترض
+
+377
+00:33:06,690 --> 00:33:12,130
+أنهم مش من 0 لـ 255، بنا من 0 لـ 7. يعني الأسود أسود 0،
+
+378
+00:33:12,130 --> 00:33:17,310
+والأبيض أبيض 7. هم 8 levels، مش 255 levels. Okay.
+
+379
+00:33:17,310 --> 00:33:24,530
+فعندك هذا الرمادي هو أكثر شيء موجود في الصورة، صح؟
+
+380
+00:33:24,530 --> 00:33:26,370
+هنا الأربعة.
+
+381
+00:33:28,140 --> 00:33:33,300
+الخط تبعها، يعني هذا عبارة عن frequency diagram، أو
+
+382
+00:33:33,300 --> 00:33:37,660
+بالأحرى histogram. histogram إذا بتذكر المصطلح هذا.
+
+383
+00:33:37,660 --> 00:33:41,520
+histogram هو كل pixel، الـ value تبعها كم مرة متكرر
+
+384
+00:33:41,520 --> 00:33:46,440
+في الصورة، أو كل واحد من الـ levels كم pixel أخذ
+
+385
+00:33:46,440 --> 00:33:50,040
+هذا الـ level في الصورة. فلو جينا نطلع على الـ
+
+386
+00:33:50,040 --> 00:33:55,180
+histogram هذا، على أساسه بنقدر نعمل إيش؟ نقدر نعمل
+
+
+445
+00:38:48,280 --> 00:38:52,700
+اللي أنا لو فكرت فيها برضه على أساس زي spanning
+
+446
+00:38:52,700 --> 00:38:54,900
+tree.. spanning tree لما كنا بنقول minimum
+
+447
+00:38:54,900 --> 00:38:57,680
+spanning tree إيش minimum spanning tree يعني ال
+
+448
+00:38:57,680 --> 00:39:01,120
+total cost بتاعت الـ tree منخفضة هتلاقي أن ال
+
+449
+00:39:01,120 --> 00:39:07,200
+Hoffman tree هي عبارة عن tree بنعمله بحيث أن ال
+
+450
+00:39:07,200 --> 00:39:11,000
+total cost
+
+451
+00:39:11,000 --> 00:39:15,740
+بتاعت الـ tree minimum كيف يعني؟ يعني هذي literally
+
+452
+00:39:15,740 --> 00:39:20,200
+يعني إيش الـ cost بتاع هذا المسار واحد، الـ cost بتاع
+
+453
+00:39:20,200 --> 00:39:24,120
+هذا المسار اتنين، يعني إيش اتنين؟ يعني خطوتين، ال
+
+454
+00:39:24,120 --> 00:39:28,640
+cost بتاع هذا المسار خطوتين، مظبوط؟ لما تيجي تجمعي
+
+455
+00:39:28,640 --> 00:39:34,120
+الـ total للمسارات دي.. دي مسارها واحد، دي
+
+456
+00:39:34,120 --> 00:39:37,540
+مسارها اتنين، دي مسارها اتنين، وتجمعي على عدد ال
+
+457
+00:39:37,540 --> 00:39:42,060
+notes هيطلع عندك الـ average length، الـ average..
+
+458
+00:39:42,060 --> 00:39:46,900
+الـ notes اللي في الـ tree دي، قديش بالمتوسط طول
+
+459
+00:39:46,900 --> 00:39:51,560
+المسار بتاعهم، هذا الـ length، الـ average length هذا
+
+460
+00:39:51,560 --> 00:39:55,960
+الـ minimum، مقارنة لو إحنا عاملين.. لو إحنا عاملين
+
+461
+00:39:55,960 --> 00:40:02,360
+لكل واحد من الأكواد.. من الرموز دي 6 bit يعني
+
+462
+00:40:02,360 --> 00:40:09,050
+عندي fixed هتيجي تلاقي الـ.. كلهم من الـ root إلى
+
+463
+00:40:09,050 --> 00:40:13,750
+الـ 0، من الـ root إلى الـ 7، من الـ root إلى الـ 1
+
+464
+00:40:13,750 --> 00:40:19,030
+من الـ root إلى الـ 6، من الـ root إلى الـ 6 من الـ
+
+465
+00:40:19,030 --> 00:40:25,690
+6 من الـ
+
+466
+00:40:25,690 --> 00:40:25,970
+root إلى الـ 1، من الـ root إلى الـ 6، من الـ root
+
+467
+00:40:25,970 --> 00:40:26,130
+الـ 1، من الـ root إلى الـ 6، من الـ root إلى الـ 6
+
+468
+00:40:26,130 --> 00:40:26,250
+الـ 6، من الـ root إلى الـ 6، من الـ root إلى الـ 6
+
+469
+00:40:26,250 --> 00:40:29,680
+إلى الـ 6، من الـ root إلى الـ 6، من الـ root، هذا لو
+
+470
+00:40:29,680 --> 00:40:33,600
+fixed هيطلع الـ average ستة، لكن الـ Hoffman Tree
+
+471
+00:40:33,600 --> 00:40:40,200
+بتخفض الرقم ده إلى، يعني زي هنا حسبها قديش طالعة
+
+472
+00:40:40,200 --> 00:40:46,400
+لهذا مش محسوبة، بس المهم هيطلع أقل بكتير من ال
+
+473
+00:40:46,400 --> 00:40:53,610
+average، هنا الحسبة دي اتنين وربع، من؟ لـ A و B و
+
+474
+00:40:53,610 --> 00:40:57,350
+C و D، لو إحنا الـ A و B و C دي بنعملهم fixed هنعطي
+
+475
+00:40:57,350 --> 00:41:01,990
+لكل واحد تلاتة bit، تلاتة في عددهم، على هذا هيطلع
+
+476
+00:41:01,990 --> 00:41:06,310
+تلاتة الـ average تلاتة، لكن إيش طلع معاه هو اتنين و
+
+477
+00:41:06,310 --> 00:41:13,250
+ربع، بيخفض الـ average length للـ quad إلى كمية أقل
+
+478
+00:41:13,250 --> 00:41:16,290
+كذلك الحلو اللي بتحسبيه هنا هيطلع برضه منخفض أكتر
+
+479
+00:41:17,420 --> 00:41:20,380
+ماشي الحال، هيك إحنا بنكون خلصنا section تسعة
+
+480
+00:41:20,380 --> 00:41:25,980
+أربعة، والمحاضرة الجاية إن شاء الله بن.. بننتقل
+
+481
+00:41:25,980 --> 00:41:27,020
+للمحاضرة العاشرة
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..aa1e6fedba3055b62c16c5286a34a584ec89c887
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 4579, "start": 21.09, "end": 45.79, "text": "بسم الله الرحمن الرحيم الصلاة والسلام على أشرف المرسلين اليوم ان شاء الله بنكمل في section .. في chapter تسعة section تسعة تلاتة و تسعة أربعة ان شاء الله تسعة تلاتة بتناول خوارزمية مشهورة اللي هي Dextre's algorithm Dextre أو ديكسترا بتتعامل مع مسألة غير اللي شفناها في section تسعة واحد و تسعة اتنين تسعة واحد و تسعة اتنين ايش كانت اللي هو ال spanning tree problem مظبوط", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 31767, 15040, 3660, 16070, 3794, 37440, 15844, 5551, 8592, 28480, 9673, 2288, 3794, 1211, 9957, 45595, 20498, 16472, 13412, 16606, 21984, 44945, 24793, 1211, 8978, 3541, 4386, 8978, 7187, 6055, 3794, 27884, 3541, 6055, 3794, 27884, 6055, 1211, 9307, 3660, 4032, 6055, 3794, 27884, 5551, 25513, 27884, 16472, 13412, 16606, 21984, 6055, 3794, 27884, 6055, 1211, 9307, 3660, 39894, 8315, 12610, 16490, 2407, 9640, 11622, 2304, 10632, 37893, 3224, 13063, 3660, 13672, 1829, 39896, 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769.03, "end": 769.33, "word": " هذا", "probability": 0.9130859375}], "temperature": 1.0}, {"id": 28, "seek": 77743, "start": 770.53, "end": 777.43, "text": "وتكلفته تلاتة أقصر مصار من A إلى C هو هذا وتكلفته تلاتة ساعة أربعة", "tokens": [35473, 28820, 5172, 47395, 6055, 1211, 9307, 3660, 5551, 4587, 9381, 2288, 3714, 9381, 9640, 9154, 316, 30731, 383, 31439, 23758, 34683, 28820, 5172, 47395, 6055, 1211, 9307, 3660, 8608, 995, 27884, 5551, 25513, 27884], "avg_logprob": -0.22960069071915415, "compression_ratio": 1.4096385542168675, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 770.53, "end": 771.21, "word": "وتكلفته", "probability": 0.7913818359375}, {"start": 771.21, "end": 771.69, "word": " تلاتة", "probability": 0.8023681640625}, {"start": 771.69, "end": 772.43, "word": " أقصر", "probability": 0.78192138671875}, {"start": 772.43, "end": 772.97, "word": " مصار", "probability": 0.8531901041666666}, {"start": 772.97, "end": 773.55, "word": " من", "probability": 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cost so far، حتى المسار كله من ال source إلى ال node أما Prim's بس بتحسب تكلفة ال edges، بتطلع على تكلفة ال edges، آه ال link المباشرة فقط", "tokens": [2407, 46958, 5016, 22807, 6156, 6027, 39184, 413, 6940, 19639, 311, 35014, 6819, 76, 34051, 2423, 39184, 413, 6940, 19639, 311, 35014, 6819, 76, 4032, 2423, 39184, 19671, 311, 35014, 6819, 76, 4724, 1829, 8592, 2655, 17082, 1211, 14407, 6055, 4587, 16572, 3555, 8717, 36178, 16247, 3794, 1211, 37746, 4724, 1829, 46456, 46538, 14407, 4724, 3794, 8978, 21542, 35457, 3660, 29538, 12399, 413, 6940, 19639, 39894, 11242, 33911, 46740, 6055, 28820, 5172, 3660, 2423, 2063, 370, 1400, 12399, 11331, 49975, 9673, 3794, 9640, 28242, 3224, 9154, 2423, 4009, 30731, 2423, 9984, 5551, 15042, 19671, 311, 4724, 3794, 39894, 5016, 35457, 6055, 28820, 5172, 3660, 2423, 8819, 12399, 39894, 9566, 1211, 3615, 15844, 6055, 28820, 5172, 3660, 2423, 8819, 12399, 19753, 3224, 2423, 2113, 9673, 3555, 33599, 25720, 6156, 47432], "avg_logprob": -0.19050480241958911, 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"end": 1053.54, "word": " له", "probability": 0.6416015625}, {"start": 1053.54, "end": 1053.92, "word": " code", "probability": 0.97705078125}, {"start": 1053.92, "end": 1054.14, "word": " ال", "probability": 0.8876953125}, {"start": 1054.14, "end": 1054.9, "word": " ASCII", "probability": 0.85791015625}, {"start": 1054.9, "end": 1055.32, "word": " table", "probability": 0.8720703125}, {"start": 1055.32, "end": 1055.8, "word": " هو", "probability": 0.94091796875}, {"start": 1055.8, "end": 1056.12, "word": " عبارة", "probability": 0.994384765625}, {"start": 1056.12, "end": 1056.46, "word": " عن", "probability": 0.99658203125}, {"start": 1056.46, "end": 1057.16, "word": " code", "probability": 0.94921875}, {"start": 1057.16, "end": 1057.66, "word": " table", "probability": 0.94873046875}], "temperature": 1.0}, {"id": 40, "seek": 107806, "start": 1058.18, "end": 1078.06, "text": "في ال symbols اللي هي الأحرف و الأشكال و ال .. كل واحد ايه ال symbol تبعه بال bits كل symbol يتكون من .. كل code يتكون من تمانية bits، مظبوط؟ هذا fixed ولا variable؟ هذا fixed طيب ليش احنا ممكن نحتاج ل variable length؟", "tokens": [41185, 2423, 16944, 13672, 1829, 39896, 16247, 5016, 28480, 4032, 16247, 8592, 4117, 6027, 4032, 2423, 4386, 28242, 36764, 24401, 1975, 1829, 3224, 2423, 5986, 6055, 3555, 3615, 3224, 20666, 9239, 28242, 5986, 7251, 2655, 30544, 9154, 4386, 28242, 3089, 7251, 2655, 30544, 9154, 46811, 7649, 10632, 9239, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 23758, 6806, 49429, 7006, 22807, 23758, 6806, 23032, 1829, 3555, 32239, 8592, 1975, 5016, 8315, 3714, 43020, 8717, 33753, 26108, 5296, 7006, 4641, 22807], "avg_logprob": -0.23691405970603227, "compression_ratio": 1.6581632653061225, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1058.18, "end": 1058.5, "word": "في", "probability": 0.77099609375}, {"start": 1058.5, "end": 1058.78, "word": " ال", "probability": 0.71142578125}, {"start": 1058.78, "end": 1059.08, "word": " symbols", "probability": 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بيستخدم كطريقة من طرق ال compression، الضغط أنه احنا ممكن نيجي للنص معمول بالـ ASCII، روح نحوله من ASCII إلى Huffman وبالتالي انحقق توفير في المساحة الإجمالية بنسبة يعني عالي جدا", "tokens": [47283, 2655, 11622, 1211, 47395, 8978, 857, 36764, 24401, 3660, 12399, 37495, 22653, 41950, 12610, 33688, 7435, 2304, 6027, 1829, 24976, 1863, 9381, 23758, 9673, 2288, 2304, 11622, 39896, 3555, 4587, 7578, 5551, 4587, 1211, 37037, 2407, 6156, 3615, 15040, 2423, 39184, 389, 1245, 1601, 17720, 4724, 1829, 14851, 9778, 40448, 9122, 9566, 16572, 28671, 9154, 23032, 2288, 4587, 2423, 19355, 12399, 6024, 114, 17082, 9566, 14739, 3224, 1975, 5016, 8315, 3714, 43020, 8717, 1829, 7435, 1829, 24976, 1863, 9381, 20449, 2304, 12610, 20666, 39184, 7469, 34, 9503, 12399, 12602, 2407, 5016, 8717, 5016, 12610, 3224, 9154, 7469, 34, 9503, 30731, 389, 1245, 1601, 46599, 6027, 2655, 6027, 1829, 16472, 5016, 4587, 4587, 33427, 5172, 13546, 8978, 9673, 3794, 39319, 3660, 33688, 7435, 2304, 6027, 10632, 44945, 35457, 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bad مافيش مجال بدي أطلع على ال bit الأولى هل في عندي code طوله واحد مافيش يبقى ياخدها وياخد اللي معاها هل في عندي code طوله اتنين وشكله واحد زيرو فيه ولا فيش", "tokens": [47, 316, 413, 23185, 20193, 7251, 43020, 29538, 6055, 1863, 7435, 2288, 3224, 11933, 15040, 1578, 19446, 41185, 8592, 3714, 7435, 6027, 4724, 16254, 5551, 9566, 1211, 3615, 15844, 2423, 857, 16247, 12610, 7578, 8032, 1211, 8978, 18871, 16254, 3089, 23032, 12610, 3224, 36764, 24401, 19446, 41185, 8592, 7251, 3555, 4587, 7578, 7251, 47283, 3215, 11296, 4032, 1829, 47283, 3215, 13672, 1829, 20449, 995, 11296, 8032, 1211, 8978, 18871, 16254, 3089, 23032, 12610, 3224, 1975, 2655, 1863, 9957, 4032, 8592, 28820, 3224, 36764, 24401, 30767, 13546, 2407, 8978, 3224, 49429, 8978, 8592], "avg_logprob": -0.22211021184921265, "compression_ratio": 1.726775956284153, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1460.19, "end": 1460.47, "word": "P", "probability": 0.283447265625}, {"start": 1460.47, "end": 1460.83, 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يبقى", "probability": 0.74908447265625}, {"start": 1476.09, "end": 1476.57, "word": " ياخدها", "probability": 0.8768310546875}, {"start": 1476.57, "end": 1476.99, "word": " وياخد", "probability": 0.8402099609375}, {"start": 1476.99, "end": 1477.11, "word": " اللي", "probability": 0.9501953125}, {"start": 1477.11, "end": 1478.51, "word": " معاها", "probability": 0.9078776041666666}, {"start": 1478.51, "end": 1479.01, "word": " هل", "probability": 0.95068359375}, {"start": 1479.01, "end": 1479.15, "word": " في", "probability": 0.96923828125}, {"start": 1479.15, "end": 1479.45, "word": " عندي", "probability": 0.8427734375}, {"start": 1479.45, "end": 1481.89, "word": " code", "probability": 0.8876953125}, {"start": 1481.89, "end": 1482.49, "word": " طوله", "probability": 0.9964192708333334}, {"start": 1482.49, "end": 1483.19, "word": " اتنين", "probability": 0.91845703125}, {"start": 1483.19, "end": 1484.01, "word": " وشكله", "probability": 0.9283447265625}, {"start": 1484.01, "end": 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symbols S0, S1, S2, S3, S4 لو أنا جيت و قلت أنا هعمل tree الشمال هعطيه رمز Zero واليمين هعطيه one كل node زي هيك أفرع منها two nodes", "tokens": [9778, 10859, 3215, 5296, 3615, 9957, 4117, 23758, 9673, 12984, 6027, 29739, 3794, 1829, 9566, 45164, 5551, 5016, 8315, 6024, 48506, 6225, 42213, 8315, 16095, 15844, 13412, 28820, 4230, 16247, 4117, 14407, 3215, 44945, 8315, 16095, 44945, 16606, 15844, 2423, 39184, 4230, 1392, 8978, 18871, 16254, 50113, 15040, 5551, 25513, 3615, 16490, 2304, 3794, 16944, 318, 15, 11, 318, 16, 11, 318, 17, 11, 318, 18, 11, 318, 19, 45164, 41850, 10874, 36081, 4032, 12174, 1211, 2655, 41850, 8032, 25957, 1211, 4230, 25124, 2304, 6027, 8032, 3615, 9566, 1829, 3224, 12602, 2304, 11622, 17182, 16070, 32640, 9957, 8032, 3615, 9566, 1829, 3224, 472, 28242, 9984, 30767, 1829, 39896, 4117, 5551, 5172, 2288, 3615, 9154, 11296, 732, 13891], "avg_logprob": -0.2521186438152346, "compression_ratio": 1.5748031496062993, "no_speech_prob": 0.0, "words": [{"start": 1567.69, 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{"start": 1958.72, "end": 1959.28, "word": " عالية", "probability": 0.9161783854166666}, {"start": 1959.28, "end": 1960.0, "word": " هياخد", "probability": 0.9431966145833334}, {"start": 1960.0, "end": 1960.38, "word": " وساعة", "probability": 0.8655598958333334}, {"start": 1960.38, "end": 1960.76, "word": " كتير", "probability": 0.98291015625}], "temperature": 1.0}, {"id": 74, "seek": 197814, "start": 1961.48, "end": 1978.14, "text": "Okay تمام لأن هذا الكلام احنا ممكن اكتر اشي بن .. بن .. بنلاحظه في الصور خد عندك هذا الصورة كمثال لو هذا الصورة الآن بصيت عليها هتلاقي ان الخلفية .. الخلفية", "tokens": [8297, 46811, 10943, 5296, 33456, 23758, 2423, 28820, 10943, 1975, 5016, 8315, 3714, 43020, 1975, 4117, 2655, 2288, 1975, 8592, 1829, 44945, 4386, 44945, 4386, 44945, 15040, 5016, 19913, 3224, 8978, 31767, 13063, 16490, 3215, 43242, 4117, 23758, 31767, 13063, 3660, 9122, 2304, 12984, 6027, 45164, 23758, 31767, 13063, 3660, 6024, 48506, 4724, 9381, 36081, 25894, 11296, 8032, 2655, 15040, 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بس بنا .. بنا .. بنا نفترض أنهم مش من 0 ل 255 بنا من 0 ل 7 يعني الأسود أسود 0 و الأبيض أبيض 7 هم 8 levels مش 255 levels okay فعندك هذا الرمادي هو أكتر إشي موجود في الصورة صح؟ هنا الأربعة", "tokens": [10721, 12610, 44049, 31439, 23032, 3555, 3615, 995, 31767, 13063, 3660, 39896, 11778, 1829, 12602, 15042, 3215, 10632, 37495, 22653, 9154, 1958, 5296, 3552, 20, 4724, 3794, 4724, 8315, 4386, 4724, 8315, 4386, 4724, 8315, 8717, 5172, 2655, 43042, 14739, 16095, 37893, 9154, 1958, 5296, 3552, 20, 4724, 8315, 9154, 1958, 5296, 1614, 37495, 22653, 16247, 3794, 23328, 5551, 3794, 23328, 1958, 4032, 16247, 21292, 11242, 5551, 21292, 11242, 1614, 8032, 2304, 1649, 4358, 37893, 3552, 20, 4358, 1392, 6156, 3615, 41260, 4117, 23758, 34892, 15042, 16254, 31439, 5551, 4117, 2655, 2288, 11933, 8592, 1829, 3714, 29245, 23328, 8978, 31767, 13063, 3660, 20328, 5016, 22807, 34105, 16247, 25513, 27884], "avg_logprob": -0.2598011233589866, "compression_ratio": 1.7971698113207548, "no_speech_prob": 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"probability": 0.9805908203125}, {"start": 2462.55, "end": 2462.73, "word": " ال", "probability": 0.9296875}, {"start": 2462.73, "end": 2463.01, "word": " average", "probability": 0.67529296875}, {"start": 2463.01, "end": 2463.61, "word": " تلاتة", "probability": 0.9766845703125}, {"start": 2463.61, "end": 2464.67, "word": " لكن", "probability": 0.92138671875}, {"start": 2464.67, "end": 2464.91, "word": " ايش", "probability": 0.7183837890625}, {"start": 2464.91, "end": 2465.15, "word": " طلع", "probability": 0.9091796875}, {"start": 2465.15, "end": 2465.43, "word": " معاه", "probability": 0.94189453125}, {"start": 2465.43, "end": 2465.73, "word": " هو", "probability": 0.81689453125}, {"start": 2465.73, "end": 2466.21, "word": " اتنين", "probability": 0.9228515625}, {"start": 2466.21, "end": 2466.31, "word": " و", "probability": 0.9931640625}, {"start": 2466.31, "end": 2466.61, "word": " ربع", "probability": 0.93212890625}, {"start": 2466.61, "end": 2467.49, "word": " بيخفض", "probability": 0.848291015625}, {"start": 2467.49, "end": 2467.63, "word": " ال", "probability": 0.99169921875}, {"start": 2467.63, "end": 2468.07, "word": " average", "probability": 0.8203125}, {"start": 2468.07, "end": 2468.59, "word": " length", "probability": 0.81103515625}, {"start": 2468.59, "end": 2469.61, "word": " ل", "probability": 0.69970703125}, {"start": 2469.61, "end": 2470.15, "word": " ال", "probability": 0.50341796875}, {"start": 2470.15, "end": 2470.75, "word": " quad", "probability": 0.43359375}, {"start": 2470.75, "end": 2471.63, "word": " إلى", "probability": 0.5390625}, {"start": 2471.63, "end": 2472.87, "word": " كمية", "probability": 0.9934895833333334}, {"start": 2472.87, "end": 2473.25, "word": " اقل", "probability": 0.8372395833333334}, {"start": 2473.25, "end": 2473.91, "word": " كذلك", "probability": 0.9752604166666666}, {"start": 2473.91, "end": 2474.17, "word": " الحلو", "probability": 0.7413736979166666}, {"start": 2474.17, "end": 2474.27, "word": " 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0.8194986979166666}, {"start": 2481.08, "end": 2482.08, "word": " و", "probability": 0.5107421875}, {"start": 2482.08, "end": 2483.14, "word": " المحاضرة", "probability": 0.9373779296875}, {"start": 2483.14, "end": 2483.46, "word": " الجاية", "probability": 0.6009114583333334}, {"start": 2483.46, "end": 2483.56, "word": " ان", "probability": 0.755859375}, {"start": 2483.56, "end": 2483.76, "word": " شاء", "probability": 0.990478515625}, {"start": 2483.76, "end": 2484.06, "word": " الله", "probability": 0.96533203125}, {"start": 2484.06, "end": 2484.66, "word": " بن", "probability": 0.81591796875}, {"start": 2484.66, "end": 2485.22, "word": " ..", "probability": 0.634765625}, {"start": 2485.22, "end": 2485.98, "word": " بننتقل", "probability": 0.9129638671875}, {"start": 2485.98, "end": 2486.46, "word": " لأشهر", "probability": 0.810546875}, {"start": 2486.46, "end": 2486.66, "word": " أبطال", "probability": 0.6495361328125}, {"start": 2486.66, "end": 2487.02, "word": " عشرة", 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5108f7d496c6b40c25bfab7c2f178651c001694f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ldzeCCiND6g_raw.srt
@@ -0,0 +1,1948 @@
+1
+00:00:21,090 --> 00:00:23,090
+بسم الله الرحمن الرحيم الصلاة والسلام على أشرف
+
+2
+00:00:23,090 --> 00:00:26,030
+المرسلين اليوم ان شاء الله بنكمل في section .. في
+
+3
+00:00:26,030 --> 00:00:28,950
+chapter تسعة section تسعة تلاتة و تسعة أربعة ان
+
+4
+00:00:28,950 --> 00:00:32,450
+شاء الله تسعة تلاتة بتناول خوارزمية مشهورة اللي هي
+
+5
+00:00:32,450 --> 00:00:38,210
+Dextre's algorithm Dextre أو ديكسترا بتتعامل مع
+
+6
+00:00:38,210 --> 00:00:41,450
+مسألة غير اللي شفناها في section تسعة واحد و تسعة
+
+7
+00:00:41,450 --> 00:00:44,310
+اتنين تسعة واحد و تسعة اتنين ايش كانت اللي هو ال
+
+8
+00:00:44,310 --> 00:00:48,030
+spanning tree problem مظبوطفي تسعة تلاتة هنا ال
+
+9
+00:00:48,030 --> 00:00:51,650
+problem هي ال single source shortest path problem
+
+10
+00:00:51,650 --> 00:00:55,750
+يعني بمعنى أخر أنه لما يكون في عندي graph و ال
+
+11
+00:00:55,750 --> 00:00:59,530
+graph هذا زي هذا مثلا مش عارف واضح ولا لأ المهم
+
+12
+00:00:59,530 --> 00:01:03,490
+أنه أنا عندي source محدد اللي هي ال A مثلا و من A
+
+13
+00:01:03,490 --> 00:01:09,450
+بدأ أحسب أقصر مسار منها إلى كل واحدة منهإلى كل
+
+14
+00:01:09,450 --> 00:01:13,410
+واحد من الـ vertices الأخرى يعني بدي أعرف ل B إيش
+
+15
+00:01:13,410 --> 00:01:17,190
+أقصر مصار و بدي أعرف ل D إيش أقصر مصار و لل C كذلك
+
+16
+00:01:17,190 --> 00:01:22,830
+و لل E كذلك فهي single source multiple paths
+
+17
+00:01:22,830 --> 00:01:27,310
+shortest path من هذا ال source إلى كل واحدة
+
+18
+00:01:27,310 --> 00:01:30,790
+shortest path ل B و shortest path ل D فعندي ..
+
+19
+00:01:30,790 --> 00:01:37,230
+بتطلع لي family of paths مجموعة من ال paths كلهم
+
+20
+00:01:37,870 --> 00:01:43,290
+optimum كلهم shortest طيب بسيطة جدا يعني على الرغم
+
+21
+00:01:43,290 --> 00:01:46,830
+من ال wow فيه قبل ما أنسى فيه من هذه ال problem
+
+22
+00:01:46,830 --> 00:01:51,210
+هذه احنا ايش بنسميها قولنا single source shortest
+
+23
+00:01:51,210 --> 00:01:58,590
+path problem ممكن المسألة هذه اوسع منها انه نسأل
+
+24
+00:01:58,590 --> 00:02:03,490
+من كل ال notes الى كل ال notes الأخرى يعني اجي
+
+25
+00:02:03,490 --> 00:02:09,310
+اقول منالـA إلى الـB، من الـA إلى الـC، من الـA
+
+26
+00:02:09,310 --> 00:02:12,450
+إلى الـD، و أيضًا كمان من الـB إلى الـD، يعني من
+
+27
+00:02:12,450 --> 00:02:19,150
+كل زوج .. من كل زوج من الـnodes، إيش أقصر مصار؟
+
+28
+00:02:19,150 --> 00:02:22,110
+أقصر مصار ما بين هذا .. الـnodes سبعة هذا الزوج،
+
+29
+00:02:22,110 --> 00:02:28,910
+هذا اسمه All Source Shortest Path بس اللي عندنا
+
+30
+00:02:28,910 --> 00:02:34,700
+احنا هنا Single Source Shortest Pathاللي بيذكر ال
+
+31
+00:02:34,700 --> 00:02:38,300
+Prims Algorithm بيصير ال Dextrous Algorithm بسيطة
+
+32
+00:02:38,300 --> 00:02:42,760
+جدا ليش؟ لأنه بيتمت على نفس أسلوب ال Prims بس
+
+33
+00:02:42,760 --> 00:02:47,060
+بيغير شغلة بسيطة اللي تعطيلي ال path طلعي على اللي
+
+34
+00:02:47,060 --> 00:02:51,300
+هو ال problem هادي و خلينا في الأول نحلها على أساس
+
+35
+00:02:51,300 --> 00:02:54,520
+انها Prims Algorithm يعني ال problem اللي هي ال
+
+36
+00:02:54,520 --> 00:02:57,720
+spanning tree ان احنا بدنا نطلع ال spanning tree
+
+37
+00:02:58,470 --> 00:03:02,530
+لها هذا ال graph مش single source short space
+
+38
+00:03:02,530 --> 00:03:06,570
+spanning tree ايش كنا بنسوي في ال prims algorithm
+
+39
+00:03:06,570 --> 00:03:09,390
+كنا بنيجي بنختارها شوية احنا لان مش هنختارها شوية
+
+40
+00:03:09,390 --> 00:03:18,130
+هنختار ال ايه ونقول بنا نقيم من ال notes الأخرى
+
+41
+00:03:18,130 --> 00:03:23,770
+دلوقت
+
+42
+00:03:23,770 --> 00:03:30,540
+نقول انه ال خلينا نشرح هناإن الـ A منها إلى B
+
+43
+00:03:30,540 --> 00:03:34,380
+ومنها إلى D مافيش غير هيك edges منها إلى B قداش
+
+44
+00:03:34,380 --> 00:03:38,840
+التكلفة تلاتة وإلى D سبعة طبعا تلاتة عبر A نفسها
+
+45
+00:03:38,840 --> 00:03:43,060
+وD عبر A نفسها أيضا مظبوط الان ايش هنسوي و الباقين
+
+46
+00:03:43,060 --> 00:03:47,160
+ال C و ال E هنعتبرهم infinity لأنهم مش أصلا
+
+47
+00:03:47,160 --> 00:03:50,500
+شايفينهم الآن احنا مش شايفينهم فإيش هنسوي الآن
+
+48
+00:03:50,500 --> 00:03:57,320
+هناخد ال minimum ونضمها ل ال A من ال minimum ال B
+
+49
+00:03:58,070 --> 00:04:01,890
+Okay طبعا
+
+50
+00:04:01,890 --> 00:04:07,190
+الآن انضمت الـ B فبننصير ايش نسوي؟ ايش نعمل؟ بناخد
+
+51
+00:04:07,190 --> 00:04:12,150
+ال edges اللي طالعة وعلى أساسها انقيم الفضلين
+
+52
+00:04:12,150 --> 00:04:15,230
+الباقين الـ C و الـ D و الـ E الان الـ C كانت
+
+53
+00:04:15,230 --> 00:04:19,870
+infinity صرت لان بشوفها عبر ايش؟ عبر الـ B بتكلفة
+
+54
+00:04:19,870 --> 00:04:26,590
+كده؟ أربعة مصبوط الـ D في two edges وصلها واحدة
+
+55
+00:04:27,430 --> 00:04:31,470
+اتنين واحدة سبعة اتنين عبر ال B والسبعة عبر ال
+
+56
+00:04:31,470 --> 00:04:37,590
+ايش؟ عبر ال A مين الأقل؟ بسجلها الاتنين عبر مين؟
+
+57
+00:04:37,590 --> 00:04:43,690
+عبر .. اتنين
+
+58
+00:04:43,690 --> 00:04:49,970
+عبر .. عبر مين؟ رايحة على ال D عبر مين؟
+
+59
+00:04:49,970 --> 00:04:57,380
+من ال B؟ من وين جاي الاتنين؟ من ال B تمام okayالان
+
+60
+00:04:57,380 --> 00:05:03,020
+هعمل حسبة احكاية ال minimum و اخد
+
+61
+00:05:03,020 --> 00:05:08,420
+صح مايدخلنا
+
+62
+00:05:08,420 --> 00:05:15,920
+ال D الان ال C و ال E ال C صار في عندي H D ده غير
+
+63
+00:05:15,920 --> 00:05:19,240
+الأولانية بس تكلفة تبعت أعلى من الأولانية فبخليها
+
+64
+00:05:19,240 --> 00:05:23,000
+الأولانية زي ما هي اللي هي 4 عبر B ال E صار تشوف
+
+65
+00:05:23,000 --> 00:05:24,820
+الآن و جاي لها 2
+
+66
+00:05:32,330 --> 00:05:38,570
+نعم ستشوفها عبر بس هذه هذه لسه out صح فال E قداش
+
+67
+00:05:38,570 --> 00:05:43,230
+تكلفتها اربعة عبر مين عبر ال D ناخد واحدة من
+
+68
+00:05:43,230 --> 00:05:47,490
+الاتنين مش خلاف صح ناخد ال C في الأول
+
+69
+00:05:55,350 --> 00:06:02,050
+الـ C لان بشوف الـ E عبر two edges بتظهر الأربعة
+
+70
+00:06:02,050 --> 00:06:07,110
+هي الأقل خلاص بناخدها okay okay لان احنا هذا
+
+71
+00:06:07,110 --> 00:06:09,270
+Prim's algorithm على اساس ان انا بتطلع spanning
+
+72
+00:06:09,270 --> 00:06:15,950
+three بتطلع معايا ال ال طبعا
+
+73
+00:06:15,950 --> 00:06:19,590
+لازم ان انا اسجل كل واحدة جيتها عبر مين يعني ال B
+
+74
+00:06:19,590 --> 00:06:24,840
+عبر ال A ال Dالـ D دخلتها عبر مين؟ برضه عبر الـ B
+
+75
+00:06:24,840 --> 00:06:28,780
+والـ C دخلتها عبر مين؟ الأربعة اللي فوق اللي هي
+
+76
+00:06:28,780 --> 00:06:33,320
+الـ B والـ
+
+77
+00:06:33,320 --> 00:06:39,640
+E دخلتها عبر مين؟ عبر الـ D الـ E عبر الـ D يمكن
+
+78
+00:06:39,640 --> 00:06:50,710
+أن الـ Tree هتكون هادئ ومين كمان؟ BA و بعدين DBو
+
+79
+00:06:50,710 --> 00:06:55,170
+بعدين CB DB
+
+80
+00:06:55,170 --> 00:07:05,110
+CB و بعدين ED دي دي هذي صح؟ إذا صارتلي three كيف؟
+
+81
+00:07:05,110 --> 00:07:11,090
+A يعني بي و ال بي هذي إلها two children اللي هم ال
+
+82
+00:07:11,090 --> 00:07:17,350
+D و ال C و ال D هي اللي رايحة على ال E هذا
+
+83
+00:07:17,350 --> 00:07:22,200
+spanning tree problem المفروض ماأنا ضيعناها شوية
+
+84
+00:07:22,200 --> 00:07:27,620
+فيها أطلاق بس ليش أنا شراحتها على أساس أنه .. ليش
+
+85
+00:07:27,620 --> 00:07:31,420
+أنا رجعتلها على أساس أنه احنا ال Dextre's
+
+86
+00:07:31,420 --> 00:07:36,080
+algorithm ما
+
+87
+00:07:36,080 --> 00:07:40,140
+بتبعدش عنها كتير Dextre's algorithm أيش بتسوي نفس
+
+88
+00:07:40,140 --> 00:07:45,780
+الأشياء بس اللهم اللي الحسبة دي احنا طبعا لازم
+
+89
+00:07:45,780 --> 00:07:49,000
+نكون محدد ال source في ال problem أن ال source هو
+
+90
+00:07:49,000 --> 00:07:58,560
+A أو ال source هو Bهنا بدأنا نحسب من A إلى D الـ
+
+91
+00:07:58,560 --> 00:08:03,840
+Value اللي هنطلع عليه الآن هو كالتالي من A إلى B
+
+92
+00:08:03,840 --> 00:08:10,640
+ثلاثة من A إلى D سبعة ماختلفش إش حتى الآن والباقي
+
+93
+00:08:10,640 --> 00:08:17,800
+إيش Infinity طبعا من الثلاثة هذه عبر A والسبعة هذه
+
+94
+00:08:17,800 --> 00:08:21,660
+برضه عبر Aهناخد برضه الـ minimum هتيجي من الـ B
+
+95
+00:08:21,660 --> 00:08:25,220
+الان
+
+96
+00:08:25,220 --> 00:08:31,540
+صارت الـ B و الـ A جوا الـ Tree و الباقي لسه برا
+
+97
+00:08:39,660 --> 00:08:43,520
+لأن بدنا نقيم اللي برا هذه لسه مش شايفينها فبتضلها
+
+98
+00:08:43,520 --> 00:08:47,520
+infinity الـC والـD الآن بدنا نحسب ال cost تبعهم
+
+99
+00:08:47,520 --> 00:08:51,240
+كنا عايش بنقول أربعة والـD فيها اندي هنا اتنين
+
+100
+00:08:51,240 --> 00:08:54,880
+وهنا سبعة الآن في الـdextra لأ بنيجي بنقول الأربعة
+
+101
+00:08:54,880 --> 00:09:00,620
+أه لكن أيضا بنضيف عليها أربعة عبر مين عبر B بنضيف
+
+102
+00:09:00,620 --> 00:09:06,480
+ال cost cost تكلفة الوصول إلى B نفسهاأصبحت ال
+
+103
+00:09:06,480 --> 00:09:09,940
+value تبع ال C أو ال cost تبع ال C هي عبارة عن
+
+104
+00:09:09,940 --> 00:09:14,020
+الأربعة زائد أنا جايجيها عبر مين؟ عبر ال B ال B
+
+105
+00:09:14,020 --> 00:09:19,120
+نفسها جداش؟ تلاتة وهنا نفس الأشياء ال D ال D أنا
+
+106
+00:09:19,120 --> 00:09:23,020
+في عندي two costs في عندي هذه و هذه في عندي هذه
+
+107
+00:09:23,020 --> 00:09:30,020
+سبعة مباشرة و في عندي اتنين زائد التلاتة خمسةخمسة
+
+108
+00:09:30,020 --> 00:09:35,540
+اندي خمسة واندي سبعة بيبقى الخمسة أقل خمسة التي
+
+109
+00:09:35,540 --> 00:09:41,440
+تلاتة زاد اتنين الان هنا عبر مين انا دلان؟ عبر ال
+
+110
+00:09:41,440 --> 00:09:48,580
+B وهذا ال C برضه عبر ال B خلاص بعد ذلك بيبقى كل شي
+
+111
+00:09:48,580 --> 00:09:53,100
+زي ما هو بناخد الأقل هنا خمسة هنا سبعة هنا
+
+112
+00:09:53,100 --> 00:09:54,900
+infinity بناخد هذه طبعا صح؟
+
+113
+00:10:02,220 --> 00:10:08,100
+أخدناها دعنا نضمها دي انا
+
+114
+00:10:08,100 --> 00:10:12,220
+عامل الفاصل هذا بحيث انه افصل ما بين اللي دخل الـ
+
+115
+00:10:12,220 --> 00:10:16,440
+Tree و اللي لسه الان اللي لسه اللي هو الـ C و الـ
+
+116
+00:10:16,440 --> 00:10:23,460
+E الـ E في عندى هنا عبر الـ D في اربع زائد الـ D
+
+117
+00:10:23,460 --> 00:10:32,530
+نفسها كده ليش اتنين عند ال sourceالـ D تكلفة
+
+118
+00:10:32,530 --> 00:10:36,670
+الوصول إليها من الـ Source خمسة، خمسة زاد أربعة
+
+119
+00:10:36,670 --> 00:10:40,930
+تسعة الـ
+
+120
+00:10:40,930 --> 00:10:45,590
+E صارت تكلفة الوصول إليها تسعة عبر مين؟ عبر الـ D،
+
+121
+00:10:45,590 --> 00:10:50,330
+مظبوط هيك؟ في خيار آخر للوصول إلى E غير هذا الـ
+
+122
+00:10:50,330 --> 00:10:52,850
+Edge؟ في هذا الـ Edge، لكن هذا الـ Edge جاء من الـ
+
+123
+00:10:52,850 --> 00:10:58,160
+C والـ C لسه براخلاص تسعة لان الـC نفسها الـC
+
+124
+00:10:58,160 --> 00:11:02,060
+نفسها بصير لها أنا مصارين مصار من الـB اللي هي
+
+125
+00:11:02,060 --> 00:11:08,200
+اللي أصلا اللي معروفة عندي لان و من الـD الـD خمسة
+
+126
+00:11:08,200 --> 00:11:16,320
+زائد خمسة عشرة صح؟ بينما من الـB تلاتة زائد أربعة
+
+127
+00:11:16,320 --> 00:11:21,960
+سبعة بتظل هي السبعة اللي أقل أقل بالمقارنة مع مين؟
+
+128
+00:11:21,960 --> 00:11:28,730
+مع عشرةخلاص بيفضلها سبعة سبعة عمرو بي .. لأن
+
+129
+00:11:28,730 --> 00:11:34,110
+السبعة هي الأقل فبناخد ال C أخدنا
+
+130
+00:11:34,110 --> 00:11:39,690
+ال C الآن صارت
+
+131
+00:11:39,690 --> 00:11:42,710
+.. ضالة ال E هي الأخيرة ال E الآن فيه .. فيه
+
+132
+00:11:42,710 --> 00:11:45,750
+مسارين ده فيه two .. two links اللي جايت عليها ال
+
+133
+00:11:45,750 --> 00:11:49,770
+6 و ال 4 ال 6 الآن 6 زاداش
+
+134
+00:11:54,280 --> 00:11:59,200
+ست زي سبعة تلتاش طب لو بده اجي من هنا خمسة زي
+
+135
+00:11:59,200 --> 00:12:06,060
+اربعة تسعة تسعة اقل فبضلها اقل باخدها اذا صار انا
+
+136
+00:12:06,060 --> 00:12:10,860
+الان ماخد يعني هو الان بعطيني الخط الغامق باين
+
+137
+00:12:10,860 --> 00:12:13,980
+عندكوا غامق هذا الخط الغامق هي عبارة عن ال edges
+
+138
+00:12:13,980 --> 00:12:20,560
+اللي انضمت ل ال tree بناء على ال notes اللي الاقصر
+
+139
+00:12:20,560 --> 00:12:25,830
+يعني طب في الآخر هيطلع معايا treeو فعلا هو يقول
+
+140
+00:12:25,830 --> 00:12:32,090
+أنا عادي tree هاي ال tree هاي ال a طب إيش طالبه؟
+
+141
+00:12:32,090 --> 00:12:35,970
+المسألة إيش بدها؟ بدها tree؟ و لا بدها مسارات؟
+
+142
+00:12:35,970 --> 00:12:40,970
+بدها المسألة إنه من ال a شو هي أقصر مسارات أقصر
+
+143
+00:12:40,970 --> 00:12:43,870
+مسار لكل واحد من ال notes التاني خلاص ال tree هذا
+
+144
+00:12:43,870 --> 00:12:49,030
+بتعبر عن المسارات هذه يعني أقصر مسار من a إلى b هو
+
+145
+00:12:49,030 --> 00:12:55,090
+هذاوتكلفته تلاتة أقصر مصار من A إلى C هو هذا
+
+146
+00:12:55,090 --> 00:13:01,460
+وتكلفته تلاتة ساعة أربعةواضح؟ فالـ Dijkstra's
+
+147
+00:13:01,460 --> 00:13:04,040
+Algorithm أو الـ Dijkstra's Algorithm و الـ Prim's
+
+148
+00:13:04,040 --> 00:13:07,900
+Algorithm بيشتغلوا تقريب نفس الأسلوب بيختلفوا بس
+
+149
+00:13:07,900 --> 00:13:13,280
+في الحسبة هذه، Dijkstra بتضيف له تكلفة ال cost so
+
+150
+00:13:13,280 --> 00:13:18,080
+far، حتى المسار كله من ال source إلى ال node أما
+
+151
+00:13:18,080 --> 00:13:21,620
+Prim's بس بتحسب تكلفة ال edges، بتطلع على تكلفة ال
+
+152
+00:13:21,620 --> 00:13:26,580
+edges، آه ال link المباشرة فقطالاتنين بتطلعولي الـ
+
+153
+00:13:26,580 --> 00:13:29,300
+Tree ال Tree هداك بفهمها علينا خلاص هي ال solution
+
+154
+00:13:29,300 --> 00:13:32,020
+لأنه انا اصلا هناك اطالب في ال Prim's Algorithm
+
+155
+00:13:32,020 --> 00:13:36,160
+المسألة هي مسألة Minimum Spanning Tree Problem فال
+
+156
+00:13:36,160 --> 00:13:38,900
+Tree بتطلع معايا هي الحل انما هنا ال Tree اللي
+
+157
+00:13:38,900 --> 00:13:43,680
+بتطلع معايا باخدها على اساس انها مجموعة مسارات من
+
+158
+00:13:43,680 --> 00:13:50,290
+A إلى كل واحدة من ال other nodesA الى B A الى D
+
+159
+00:13:50,290 --> 00:13:54,370
+عبر B A الى C عبر B واضح وهي تكلفة تبعت كل واحد
+
+160
+00:13:54,370 --> 00:13:59,670
+اللي هي مجموعة ال links okay الان كل .. بالنسبة لل
+
+161
+00:13:59,670 --> 00:14:02,250
+efficiency كل ما ينطبق على ال prims ينطبق على ال
+
+162
+00:14:02,250 --> 00:14:07,410
+dextraبالنسبة للـ Algorithm هتلاقيها برضه نفس
+
+163
+00:14:07,410 --> 00:14:11,110
+الاشي اللهم الله هيختلفوا في إيش في هنا الحسبة لإن
+
+164
+00:14:11,110 --> 00:14:15,590
+هنا بنقول F بنقارن ما بين مين بنقارن اللي حسبناه
+
+165
+00:14:15,590 --> 00:14:18,150
+جديد مع اللي already موجود في ال table عشان نشوف
+
+166
+00:14:18,150 --> 00:14:22,170
+هل نخل اللي في ال table ولا نحط بدله اللي جديد إيش
+
+167
+00:14:22,170 --> 00:14:26,490
+الحسبة الجديدة ال edge هذه تكلفة ال edge ما بين U
+
+168
+00:14:26,490 --> 00:14:32,050
+star و Uهي ال node اللي أنا واجف عليها و ببص على
+
+169
+00:14:32,050 --> 00:14:38,450
+البرانية اللي واجف عليها في ال tree و ببص على اللي
+
+170
+00:14:38,450 --> 00:14:42,390
+بدي أقرر أضمها اللي بدي أقرر أضمها هي ال U star
+
+171
+00:14:42,390 --> 00:14:46,330
+التكلفة ما بينهم بضيفها على التكلفة تبعية الوصول
+
+172
+00:14:46,330 --> 00:14:50,630
+إلى ال U إذا هذا الإجمال كله أفضل من الإجمال اللي
+
+173
+00:14:50,630 --> 00:14:56,450
+موجود عندك في ال table إذا أقل يعنيبسجله و بحطه في
+
+174
+00:14:56,450 --> 00:15:02,790
+ال table و بسجل عبر ايش ال node اللي .. ايوة okay
+
+175
+00:15:02,790 --> 00:15:06,710
+و إلا خلاص بخيل اللي في ال table اسمه هو بغيرش بعد
+
+176
+00:15:06,710 --> 00:15:11,910
+ما أخد .. بعد ما أسجل يعني و أخلص بدي أخد واحدة من
+
+177
+00:15:11,910 --> 00:15:16,490
+هدولة باخد مين ال minimum فهنا decrease ال Q هذه
+
+178
+00:15:16,490 --> 00:15:21,450
+عبارة عن هدولة هذا priority Q هذا decrease ال Q
+
+179
+00:15:24,380 --> 00:15:28,860
+Decrease الـ Q بمعناته إنه يشي ليه ال minimum لأنه
+
+180
+00:15:28,860 --> 00:15:36,460
+priority Q فهي هشيل ليه الأقل وخلاص okay وهذه
+
+181
+00:15:36,460 --> 00:15:40,100
+النقطة اللي تواحق أن فيها هي نفس النقطتين هذولة
+
+182
+00:15:40,100 --> 00:15:44,000
+موجودة في Prim's algorithm بس هذه مش موجودة بال
+
+183
+00:15:44,000 --> 00:15:48,940
+total موجودة بس على أساس ال link هذا الأمر هو اللي
+
+184
+00:15:48,940 --> 00:15:53,360
+بيحصل بعد ما انحدد ال vertex انحدد ال minimum
+
+185
+00:15:55,460 --> 00:16:01,320
+بنضيفه وبنعمل update تمام وال efficiency زي ما
+
+186
+00:16:01,320 --> 00:16:07,200
+حكينا big theta of V square إذا كانت adjacency
+
+187
+00:16:07,200 --> 00:16:11,640
+matrix وإذا كان في عندي priority Q فهيبقى big O of
+
+188
+00:16:11,640 --> 00:16:19,420
+E log V طيب ماشي الحالة هذا الآن تسعة تلاتة بدنا
+
+189
+00:16:19,420 --> 00:16:27,840
+منه سؤال رقم واحد وتلاتةواحد و تلاتة واحد
+
+190
+00:16:27,840 --> 00:16:42,480
+و تلاتة طيب
+
+191
+00:16:42,480 --> 00:16:46,160
+تسعة اربعة تسعة اربعة ال algorithm التاني اللي
+
+192
+00:16:46,160 --> 00:16:47,040
+بدنا نشوفه اليوم
+
+193
+00:16:49,730 --> 00:16:55,970
+اسمها او هي عبارة عن algorithm بتبني حاجة اسمها
+
+194
+00:16:55,970 --> 00:17:01,610
+الـ Huffman Tree الـ Huffman Tree تستخدم لغرضين
+
+195
+00:17:01,610 --> 00:17:04,870
+أساسيات واحد منهم اللي هو ال coding فبصير في عندنا
+
+196
+00:17:04,870 --> 00:17:07,930
+حاجة اسمها الـ Huffman Codes الـ Huffman Codes هذه
+
+197
+00:17:11,820 --> 00:17:16,000
+صفتها الأساسية انها variable length codes variable
+
+198
+00:17:16,000 --> 00:17:21,000
+length codes عكس variable length ايش؟ fixed length
+
+199
+00:17:21,000 --> 00:17:25,840
+fixed length يعني ثابت ايش هو الثابت؟ طول طول
+
+200
+00:17:25,840 --> 00:17:28,920
+الاش؟ طول ال code ال code هو عبارة عن الرمز اللي
+
+201
+00:17:28,920 --> 00:17:33,300
+احنا بنعطيه لل symbol يعني ال symbols وكل symbol
+
+202
+00:17:33,300 --> 00:17:38,780
+له code ال ASCII table هو عبارة عن code tableفي ال
+
+203
+00:17:38,780 --> 00:17:42,760
+symbols اللي هي الأحرف و الأشكال و ال .. كل واحد
+
+204
+00:17:42,760 --> 00:17:47,220
+ايه ال symbol تبعه بال bits كل symbol يتكون من ..
+
+205
+00:17:47,220 --> 00:17:51,960
+كل code يتكون من تمانية bits، مظبوط؟ هذا fixed ولا
+
+206
+00:17:51,960 --> 00:17:56,600
+variable؟ هذا fixed طيب ليش احنا ممكن نحتاج ل
+
+207
+00:17:56,600 --> 00:18:00,110
+variable length؟هذا عارفين إيش هذا؟ هذا الـ Morse
+
+208
+00:18:00,110 --> 00:18:03,270
+code المورس اللي هو بيستخدموه في الإشارات
+
+209
+00:18:03,270 --> 00:18:06,810
+اللاسلكية
+
+210
+00:18:06,810 --> 00:18:12,110
+يعني مثلا في التليفون زمان كانت رقم التليفون بيطلع
+
+211
+00:18:12,110 --> 00:18:15,770
+مثلا تسعة تلاتة اتنين واحد بيطلع الأرقام هذه على
+
+212
+00:18:15,770 --> 00:18:19,630
+أساس إشارات مورس وإليه استخدامات كتيرة برضه كمان
+
+213
+00:18:19,630 --> 00:18:25,390
+في البحر لما المنارة بتعطي إشارة بالضوءللسفن
+
+214
+00:18:25,390 --> 00:18:29,330
+تعطيها هيها أساس أنه بتضغط و بتطفي على أساس الـ
+
+215
+00:18:29,330 --> 00:18:32,930
+Morse Code الـ Morse Code Variable Length بنا ال
+
+216
+00:18:32,930 --> 00:18:35,470
+ASCII Fixed Length و ال Morse Code Variable Length
+
+217
+00:18:35,470 --> 00:18:41,390
+Variable Length معناه شوف عندك ال E إشارة بت واحدة
+
+218
+00:18:41,390 --> 00:18:45,630
+ال A two bits هذا أربعة في خمسة لأ أكتر أشي أربعة
+
+219
+00:18:45,630 --> 00:18:50,270
+المهم يتراوح الطول تبع ال code من واحد إلى أربعة
+
+220
+00:18:51,910 --> 00:18:56,990
+Okay ال E هنا معمولة إشارة واحدة لأنه لو أنت جيتي
+
+221
+00:18:56,990 --> 00:19:00,430
+على أي نص باللغة الإنجليزية فقرة زي هذه مثلا
+
+222
+00:19:00,430 --> 00:19:06,250
+الكلام هذا هتلاقي أن حرف ال E متكرر أكتر من غيره
+
+223
+00:19:06,250 --> 00:19:12,810
+okay فالطول يتناسب عكسيا مع ال frequency إيش ع ال
+
+224
+00:19:12,810 --> 00:19:16,690
+frequency يعني قد إيش متكرر هذا الرمز أو ال symbol
+
+225
+00:19:16,690 --> 00:19:22,050
+أو الحرف في الكلامهذا ايش فايدته؟ انه انا لما بدي
+
+226
+00:19:22,050 --> 00:19:27,290
+اجي ارمز وابعت اشارة فيها الكلام ده كله هتبقى
+
+227
+00:19:27,290 --> 00:19:33,590
+الطول الإجمالي أقصر من لو انا كل حرف عطيته أربعة
+
+228
+00:19:33,590 --> 00:19:39,210
+كاملين ولا لا؟ اه لو أربعة .. لو ثابت معناته ال E
+
+229
+00:19:39,210 --> 00:19:44,190
+والمش E هيبقى طول ال code تبعها أربعة لكن لو انا
+
+230
+00:19:44,190 --> 00:19:48,440
+اللي متكرراختزلته في bit واحدة، يعني الطول
+
+231
+00:19:48,440 --> 00:19:55,680
+الإجمالي للنص هذا المرمز هيبقى أقل وهو فعلا الـ
+
+232
+00:19:55,680 --> 00:19:58,720
+Huffman coding بيستخدم كطريقة من طرق ال
+
+233
+00:19:58,720 --> 00:20:03,320
+compression، الضغط أنه احنا ممكن نيجي للنص معمول
+
+234
+00:20:03,320 --> 00:20:05,720
+بالـ ASCII، روح نحوله من ASCII إلى Huffman
+
+235
+00:20:05,720 --> 00:20:12,140
+وبالتالي انحقق توفير في المساحة الإجمالية بنسبة
+
+236
+00:20:12,140 --> 00:20:18,630
+يعني عالي جداكيف بنعمل الـ variable length السؤال
+
+237
+00:20:18,630 --> 00:20:24,610
+الآن كيف أنه انا لو عندي مجموعة من الرموز اعمل ال
+
+238
+00:20:24,610 --> 00:20:30,350
+coding تبعهم بما يتناسب مع ايش بما يتناسب طول ال
+
+239
+00:20:30,350 --> 00:20:38,610
+codes مع ال frequency التناسب عكسي هيعطيك
+
+240
+00:20:38,610 --> 00:20:43,900
+مثال هناهي عندي نفترض حالة بسيطة جدا، عندي بس
+
+241
+00:20:43,900 --> 00:20:48,440
+الأربع symbols هدولة و الفراغ، و عندي ال frequency
+
+242
+00:20:48,440 --> 00:20:53,160
+تبعتهم، يعني في النص، عندي نص يتكون من بس الأربع
+
+243
+00:20:53,160 --> 00:20:58,460
+أحرف هدولة و الفراغمعروف أن الـ A متكرر بالنسبة 35
+
+244
+00:20:58,460 --> 00:21:04,620
+% من الإجمالي عدد الأحرف اللي في النص هذا 35% منهم
+
+245
+00:21:04,620 --> 00:21:10,620
+As والـ B 10% والـ C هدول إيش هدول Frequencies
+
+246
+00:21:10,620 --> 00:21:14,280
+بناء على ال Frequencies هذا بيدعم الأكواد هي ال A
+
+247
+00:21:14,280 --> 00:21:19,280
+هياخد ال code تبعه قصير بس two bits بينما اللي
+
+248
+00:21:19,280 --> 00:21:24,100
+منخفض ال frequency تبعته زي هذا وزي هذا هيبقى ال
+
+249
+00:21:24,100 --> 00:21:28,800
+code تبعه أطولطول ال code يتناسب عكسيا مع ال
+
+250
+00:21:28,800 --> 00:21:32,440
+frequency هذا
+
+251
+00:21:32,440 --> 00:21:37,520
+المطلب الأساسي ان انا اعمل أكواد لمجموعة من ال
+
+252
+00:21:37,520 --> 00:21:42,700
+symbols أطوال الأكواد تتناسب لكل symbol عكسيا مع
+
+253
+00:21:42,700 --> 00:21:46,640
+ال frequency تبعتهم هذا أول شغل الشغل التاني ان
+
+254
+00:21:46,640 --> 00:21:51,420
+الأكواد هذه الأكواد هذه اللي بدي اعملها مايبقاش
+
+255
+00:21:51,420 --> 00:21:57,800
+واحد منهم prefix لواحد آخريعني مثلا ال .. ال 11
+
+256
+00:21:57,800 --> 00:22:07,480
+هذه هل في code أخر بيبدأ ب 11؟ لأ لأ صح؟ طب إيش
+
+257
+00:22:07,480 --> 00:22:12,340
+المشكلة لو .. لو كان في عندي مثلا ال .. بقول مثلا
+
+258
+00:22:12,340 --> 00:22:21,880
+ال B هذه عملناها هيك 110 هذه خلقناها 110 والباقيين
+
+259
+00:22:21,880 --> 00:22:23,440
+زي ما هم .. زي ما هم
+
+260
+00:22:27,180 --> 00:22:34,380
+لو انا الان بدأ اكتب كلمة مثلًا bad بدأ اضع هذا ال
+
+261
+00:22:34,380 --> 00:22:43,940
+code الان 110 ثم ال a 11 ثم ال d 01 لان هذه كيف
+
+262
+00:22:43,940 --> 00:22:52,680
+بدأ افهم ان هذا بي 110 مش اخدهم الاتنين على انهم a
+
+263
+00:22:54,520 --> 00:22:59,380
+ما هو variable يعني مش هيقبل اتنين هو ممكن يجيله
+
+264
+00:22:59,380 --> 00:23:02,940
+اتنين ال code ال code الواحد يبقى طوله اتنين ممكن
+
+265
+00:23:02,940 --> 00:23:09,300
+تلاتة او اذا في أحرف اخرى ممكن يبقى .. فإذا .. إذا
+
+266
+00:23:09,300 --> 00:23:13,020
+.. إذا بديش ألزجهم مع بعض معناته لازم أفصلهم لازم
+
+267
+00:23:13,020 --> 00:23:19,040
+أفصلهم أحط ان والله bad هي بيه بعدين أحط فراغ او
+
+268
+00:23:19,040 --> 00:23:25,890
+فاصلة او اي اشي بعدين ال aبعدين الفاصلة بعدين ايش
+
+269
+00:23:25,890 --> 00:23:30,290
+ال D هي كأنا ماكنش استفدت من ال compression بالمرة
+
+270
+00:23:30,290 --> 00:23:35,230
+الفاصلة ها دي بتحطها بين كل حرف و حرف هتكلفني في
+
+271
+00:23:35,230 --> 00:23:41,670
+المساحة الإجمالية أكتر من اللي وفرته ولا لا تخيل
+
+272
+00:23:41,670 --> 00:23:45,170
+انت مش بين كل كلمة و كلمة بتحط فاصلة بين كل حرف و
+
+273
+00:23:45,170 --> 00:23:48,490
+حرف و الفاصلة ها دي ممكن تاخده لل code أطوله يبجى
+
+274
+00:23:48,490 --> 00:23:53,390
+4 bitماوفرتش اشي فانا اذا ماقدرتش احطهم ورا بعض
+
+275
+00:23:53,390 --> 00:23:58,390
+هيك بدون .. بدون اشي فاصل ما بينهم وبحيث انه ال ..
+
+276
+00:23:58,390 --> 00:24:05,090
+ال decoder يقدر يفهمهم بدون لخبطة ماستفدتش حاجة
+
+277
+00:24:05,090 --> 00:24:11,530
+بقدر يفهمهم بدون لخبطة بس اذا مافيش واحد منهم جاي
+
+278
+00:24:11,530 --> 00:24:16,530
+prefix للاخر يعني زي هيك لان لو انا زي هيك بدي
+
+279
+00:24:16,530 --> 00:24:26,790
+اعمل bad هعمله هيكP A D 01 لا يمكن هذه تنجره إلا
+
+280
+00:24:26,790 --> 00:24:31,170
+bad مافيش مجال بدي أطلع على ال bit الأولى هل في
+
+281
+00:24:31,170 --> 00:24:37,110
+عندي code طوله واحد مافيش يبقى ياخدها وياخد اللي
+
+282
+00:24:37,110 --> 00:24:44,870
+معاها هل في عندي code طوله اتنين وشكله واحد زيرو
+
+283
+00:24:44,870 --> 00:24:49,350
+فيه
+
+284
+00:24:49,350 --> 00:24:49,710
+ولا فيش
+
+285
+00:24:52,620 --> 00:24:59,000
+فيش في ال table تبعي بدي أحط كمان واحدة 100 في ال
+
+286
+00:24:59,000 --> 00:25:03,780
+B خلاص باخد علينا ال B بعدين بيبدأ من جديد من هنا
+
+287
+00:25:03,780 --> 00:25:09,060
+واحد فيها دي اشي بيبدأ واحد لحاله لأ واحد واحد في
+
+288
+00:25:09,060 --> 00:25:15,500
+في خلاص Zero في اشي بيبدأ Zero لحاله في Zero لحاله
+
+289
+00:25:15,500 --> 00:25:21,320
+لأ في Zero واحد اه في Zero واحد خلاصOkay فكونوا إن
+
+290
+00:25:21,320 --> 00:25:25,920
+الأكواد هذه غير متداخرة ولا واحد منهم يشكل prefix
+
+291
+00:25:25,920 --> 00:25:30,860
+للآخر يبقى هذا بيضمن إن أنا أقدر ألزجهم زي مع بعض
+
+292
+00:25:30,860 --> 00:25:35,480
+زي ما هم جم مع بعض و ال decoder بيقدر يحللهم بدون
+
+293
+00:25:35,480 --> 00:25:38,640
+أي مشكلة طبعا ال decoder لازم يبقى عنده نفس ال
+
+294
+00:25:38,640 --> 00:25:43,910
+tableOkay يعني ال encoder بدي يعمل ال table يرمز و
+
+295
+00:25:43,910 --> 00:25:49,470
+يبني النص و يبني ال .. هذا و يرسل ال data و معها
+
+296
+00:25:49,470 --> 00:25:52,550
+ال table الطرف الآخر بدي ياخد ال data و ال table و
+
+297
+00:25:52,550 --> 00:25:57,050
+يفك .. و يفك الترميز الآن السؤال كيف يشكل ال table
+
+298
+00:25:57,050 --> 00:26:02,190
+او جبل كيف بقدر اعمل code انا مايبجعش واحد من
+
+299
+00:26:02,190 --> 00:26:07,950
+الرموز prefix ال code تبعه prefix ل .. لاخرخُد
+
+300
+00:26:07,950 --> 00:26:12,570
+لعينك هذا المثال البسيط لو أحنا الآن عملناهم على
+
+301
+00:26:12,570 --> 00:26:17,130
+شكل tree الأكواد بنناهم بناء على الـ tree okay في
+
+302
+00:26:17,130 --> 00:26:24,170
+عندي مثلا أربع خمس symbols S0, S1, S2, S3, S4 لو
+
+303
+00:26:24,170 --> 00:26:29,070
+أنا جيت و قلت أنا هعمل tree الشمال هعطيه رمز Zero
+
+304
+00:26:29,070 --> 00:26:32,630
+واليمين هعطيه one كل node زي هيك أفرع منها two
+
+305
+00:26:32,630 --> 00:26:37,420
+nodesالـ edge الشمال 0 و الـ edge اليمين 1 الان
+
+306
+00:26:37,420 --> 00:26:43,120
+خلاص هذه الان الـ leaf node ال code تبعها هو ال
+
+307
+00:26:43,120 --> 00:26:51,720
+edges تبع المسار اللي واصل اليها 000 هذه 001 هذه
+
+308
+00:26:51,720 --> 00:26:59,160
+010 صح؟ هذه الطريقة بتضمنلي لأن مافيش two leaf
+
+309
+00:26:59,160 --> 00:27:07,790
+nodesهياخدوا نفس ال code ولا حتى prefix واحد منهم
+
+310
+00:27:07,790 --> 00:27:13,730
+ال prefix التاني صح يعني هذه ال node الان افترجت
+
+311
+00:27:13,730 --> 00:27:20,270
+من الأساس هنا واضحة؟
+
+312
+00:27:20,270 --> 00:27:23,730
+لما أنا بعمله على شكل ال tree فالان صارت ال .. ال
+
+313
+00:27:23,730 --> 00:27:28,420
+Hoffman coding هو كيف أبني treeو الـ Tree ها دي
+
+314
+00:27:28,420 --> 00:27:33,280
+تبقى مبنية على أساس برضه ال frequency يعني ال node
+
+315
+00:27:33,280 --> 00:27:40,400
+اللي تيجي غوطة في .. في .. في .. في مسارها طويل هي
+
+316
+00:27:40,400 --> 00:27:45,020
+ال nodes اللي ال frequency تبعتها عالي ولا مخفضة
+
+317
+00:27:45,020 --> 00:27:48,040
+اللي المسار تبعتها طويل مسارها طويل يعني كودها
+
+318
+00:27:48,040 --> 00:27:51,640
+طويل اللي
+
+319
+00:27:51,640 --> 00:27:55,310
+مسارها طويل ال frequency تبعتها منخفضةالمسارها
+
+320
+00:27:55,310 --> 00:27:58,770
+طويل يعني ال code تبعها هيبقى طويل هي ال frequency
+
+321
+00:27:58,770 --> 00:28:02,370
+تبقى منخفضة أما ال frequency بتبقى عالية بديها
+
+322
+00:28:02,370 --> 00:28:07,690
+تبقى مسارها قصير تيجي فوق خلاص هذا الطريقة الآن
+
+323
+00:28:07,690 --> 00:28:14,870
+بسيطة جدا كيف ناخد المثال هذا بناء على ال
+
+324
+00:28:14,870 --> 00:28:19,110
+frequency هذه أو ال frequencies هذه بدنا نعمل quad
+
+325
+00:28:19,110 --> 00:28:24,470
+هذي quad هذي جايةبناء على هذه الـ frequencies
+
+326
+00:28:24,470 --> 00:28:31,230
+باستخدام اللي هو الـ Huffman Tree هم
+
+327
+00:28:31,230 --> 00:28:36,810
+نفسهم الخمس .. الأربع أحرف و الفراغ هذه ال
+
+328
+00:28:36,810 --> 00:28:43,050
+frequencies جابهم مرتبين تصعدي أقل واحدة .. نرجع
+
+329
+00:28:43,050 --> 00:28:48,350
+تاني أقل واحدة .. إيش كنا؟ الـ B ويا ليه؟ الفراغ و
+
+330
+00:28:48,350 --> 00:28:52,700
+بعدين هذول الاتنين و بعدين الـ A صح؟كل واحد حطه في
+
+331
+00:28:52,700 --> 00:28:57,620
+node الان ياخد اتنينات ويدمج ال zero point ال B مع
+
+332
+00:28:57,620 --> 00:29:01,420
+الفراغ بشكل
+
+333
+00:29:01,420 --> 00:29:10,160
+sub
+
+334
+00:29:10,160 --> 00:29:15,840
+tree
+
+335
+00:29:16,790 --> 00:29:21,250
+لأن هذه قداشة frequency تبعها 0.1 وهذه 0.15 الـ
+
+336
+00:29:21,250 --> 00:29:29,410
+total تبعهم 0.25 لأن هذا ال node بدي أخدها مع
+
+337
+00:29:29,410 --> 00:29:35,450
+الأخريات اللي ضايقين بس مرتبة معاهم فبيجي مين؟
+
+338
+00:29:35,450 --> 00:29:44,130
+بيجي مين قبل؟ اللي هي 0.2 اللي هي D قبلها اللي هي
+
+339
+00:29:44,130 --> 00:29:54,580
+C 0.2BGLA 0.35 صح هي تحطهم هنا مرتبين على أساس ال
+
+340
+00:29:54,580 --> 00:29:59,540
+frequency الان هدول الاتنين هو دايما بعد ما يرتب
+
+341
+00:29:59,540 --> 00:30:05,580
+دايما بياخد أول اتنين و بيدمجهم okay الان هنا أول
+
+342
+00:30:05,580 --> 00:30:09,980
+اتنين كانوا leaf nodes و هنا leaf nodes بعد شوية
+
+343
+00:30:09,980 --> 00:30:15,520
+هيدمج sub tree معمعليفة هدول اللي لما يندمجوا ايش
+
+344
+00:30:15,520 --> 00:30:19,200
+بيصيروا .. بيصيروا zero point ايه ايش؟ اربعة
+
+345
+00:30:19,200 --> 00:30:27,760
+والتانية .. وال .. ال C والD مظبوط؟
+
+346
+00:30:27,760 --> 00:30:30,620
+لإن الأربعة هذه حسب الترتيب اللي عند مين اللي ..
+
+347
+00:30:30,620 --> 00:30:34,160
+اللي ضايق ال .. ال هذا وهذا هتيجي في الآخر هتيجي
+
+348
+00:30:34,160 --> 00:30:39,850
+في الآخر هناهيأتي الـ 0.25 أقل واحدة أصبحت الآن و
+
+349
+00:30:39,850 --> 00:30:43,690
+الـ 0.3 اللي هي الـ A و بعدين الـ 0.4 هيأخد الان
+
+350
+00:30:43,690 --> 00:30:52,110
+هدول الاتنين حيأخدهم و صاروا 0.6 صاروا أكبر من الـ
+
+351
+00:30:52,110 --> 00:30:59,010
+0.4 فرجعوا وراه الان خلاص الـ 0.4 و 0.6 خلاص لما
+
+352
+00:30:59,010 --> 00:31:02,030
+نصل لوحد لأن هذا الـ total واحد كل ال frequencies
+
+353
+00:31:02,030 --> 00:31:10,070
+في الأخر بتجمع لوحدخلاص الان أصبحت بعض ال notes
+
+354
+00:31:10,070 --> 00:31:14,030
+نازلة تحت وبعض ال notes فوق اللي نازلين هم مين
+
+355
+00:31:14,030 --> 00:31:20,330
+اللي ال frequencies تبعتهم ضعيفة و اللي أكتر هم
+
+356
+00:31:20,330 --> 00:31:24,290
+اللي فوق هذا ال 0.2 و 0.35 الآن هذا ال code تبقى
+
+357
+00:31:24,290 --> 00:31:29,600
+ال A H 1 1ال code تبقى هدول الاتنين واحد صفر صفر
+
+358
+00:31:29,600 --> 00:31:34,220
+واحد صفر واحد بالظبط تلاتة تقول ال code هنا تلاتة
+
+359
+00:31:34,220 --> 00:31:39,660
+هنا تقوله اتنين هنا تقوله اتنين اتنين صح؟ okay فهي
+
+360
+00:31:39,660 --> 00:31:43,060
+كل الفكرة تبقى بساطة شديدة الان كيف هذا الكلام
+
+361
+00:31:43,060 --> 00:31:47,540
+بيساهم في ال compression او في توفير المساحة
+
+362
+00:31:47,540 --> 00:31:51,940
+الإجمالية؟أه انه ل .. ل .. ل .. اه بدال .. يعني
+
+363
+00:31:51,940 --> 00:31:56,760
+هذا ال a لو كلهم الآن ال code word تبعتهم تلاتة
+
+364
+00:31:56,760 --> 00:32:02,920
+مانا ذلك .. مانا ذلك ال total space لو أنا عندي
+
+365
+00:32:02,920 --> 00:32:08,540
+فقرة مكونة من الأحرف هذه الإجمالي ال size تبع هذه
+
+366
+00:32:08,540 --> 00:32:12,640
+الفقرة هو كل حرف ضرب تلاتة عدد الأحرف الإجمالي ضرب
+
+367
+00:32:12,640 --> 00:32:17,780
+تلاتة لكن الآن لأالان كل حرف ضرب ال frequency
+
+368
+00:32:17,780 --> 00:32:23,620
+تبعته ضرب طول ال code تبعه ال code اتنين لل a okay
+
+369
+00:32:23,620 --> 00:32:30,600
+frequency عالية لكن ضرب اتنين هنا frequency منخفضة
+
+370
+00:32:30,600 --> 00:32:35,480
+ضرب تلاتة فانا يعني اش لو انا بده اضرب كلهم ضرب
+
+371
+00:32:35,480 --> 00:32:39,280
+تلاتة معناته هاد هيطلع طوله عالي و frequency عالية
+
+372
+00:32:39,280 --> 00:32:44,120
+هياخد وساعة كتيرOkay تمام لأن هذا الكلام احنا ممكن
+
+373
+00:32:44,120 --> 00:32:49,940
+اكتر اشي بن .. بن .. بنلاحظه في الصور خد عندك هذا
+
+374
+00:32:49,940 --> 00:32:55,820
+الصورة كمثال لو هذا الصورة الآن بصيت عليها هتلاقي
+
+375
+00:32:55,820 --> 00:33:01,010
+ان الخلفية .. الخلفيةأول شي هو طبعا الصورة هي دي
+
+376
+00:33:01,010 --> 00:33:06,690
+رمادية يعني من 0 ل 255 بس بنا .. بنا .. بنا نفترض
+
+377
+00:33:06,690 --> 00:33:12,130
+أنهم مش من 0 ل 255 بنا من 0 ل 7 يعني الأسود أسود 0
+
+378
+00:33:12,130 --> 00:33:17,310
+و الأبيض أبيض 7 هم 8 levels مش 255 levels okay
+
+379
+00:33:17,310 --> 00:33:24,530
+فعندك هذا الرمادي هو أكتر إشي موجود في الصورة صح؟
+
+380
+00:33:24,530 --> 00:33:26,370
+هنا الأربعة
+
+381
+00:33:28,140 --> 00:33:33,300
+الخط تبعها يعني هذا عبارة عن frequency diagram أو
+
+382
+00:33:33,300 --> 00:33:37,660
+بالأحرى histogram histogram إذا بتذكر المصطلح هذا
+
+383
+00:33:37,660 --> 00:33:41,520
+histogram هو كل pixel ال value تبعها أكم مرة متكرر
+
+384
+00:33:41,520 --> 00:33:46,440
+في الصورة أو كل واحد من ال levels أكم pixel ماخد
+
+385
+00:33:46,440 --> 00:33:50,040
+هذا ال level في الصورة فلو جينا نطلع على ال
+
+386
+00:33:50,040 --> 00:33:55,180
+histogram هذا على أساسه بنقدر نعمل ايش نقدر نعمل
+
+387
+00:33:55,180 --> 00:34:00,580
+Hoffman codingكالتالي، راحظوا الأعمدة دي، كيف
+
+388
+00:34:00,580 --> 00:34:06,840
+هيكون تمثيلها عدديًا، يعني مثلا الأربعة، خمسة و
+
+389
+00:34:06,840 --> 00:34:10,220
+تمانين، خمسة و تمانين هنا في المية من إجمالي عدد
+
+390
+00:34:10,220 --> 00:34:13,140
+ال pixels اللي في الصورة، خمسة و تمانين في المية
+
+391
+00:34:13,140 --> 00:34:17,380
+من ال pixels الصورة، ماخدين ال level هذا، أربعة،
+
+392
+00:34:17,380 --> 00:34:21,970
+okay؟ مافيش ولا pixel مااخد ال level zeroصفر ال
+
+393
+00:34:21,970 --> 00:34:25,850
+probability هنا 12 في الألف للواحد الاتنين الواحد
+
+394
+00:34:25,850 --> 00:34:33,210
+السبعية المهم هدول الآن بيتم ترتيبهم ترتيبهم زي في
+
+395
+00:34:33,210 --> 00:34:37,070
+الطريقة تبعتنا هنا هاي ال level zero واحد اتنين
+
+396
+00:34:37,070 --> 00:34:42,170
+تلاتة اربعة خمسة ستة سبعة هدا ال zero اللي هو
+
+397
+00:34:42,170 --> 00:34:47,090
+الأضعف لأ هم مش مرتبين هنا sorry هاي الترتيب تبعها
+
+398
+00:34:47,090 --> 00:34:50,650
+هاي الترتيب تبعها zero
+
+399
+00:34:52,160 --> 00:35:00,680
+سبعة واحد ستة تلاتة خمس اتنين اربعة ترتيبهم هذا
+
+400
+00:35:00,680 --> 00:35:02,800
+على أساس ال frequency
+
+401
+00:35:05,490 --> 00:35:11,350
+Okay فالمفروض أنه احنا من هنا بناخد الـ7 و الـ0 و
+
+402
+00:35:11,350 --> 00:35:15,510
+بنعمل 3 بنعمل node root يعني و ال root هذا ال
+
+403
+00:35:15,510 --> 00:35:18,570
+value تبعه اجمال ال frequency تبعتها دي و اجمال ال
+
+404
+00:35:18,570 --> 00:35:21,310
+frequency تبعتها دي هي ال 1 هي هذه ال frequency 0
+
+405
+00:35:21,310 --> 00:35:24,590
+و هذه ال 0 تلاتة تلاتة بال ألف هي ال total تبعهم
+
+406
+00:35:24,590 --> 00:35:29,970
+تلاتة بال ألف الآن بعد هيك أخدهم مال اتناش صح؟
+
+407
+00:35:29,970 --> 00:35:36,130
+اتناش و تلاتة خمستاش okay الان مال تسعتاشلحظة انه
+
+408
+00:35:36,130 --> 00:35:42,070
+لسه لغاية الآن ال total تبعنا أقل خمستاشر الان مع
+
+409
+00:35:42,070 --> 00:35:45,890
+تسعتاشر اربعة و تلاتين الان اربعة و تلاتين اربعة و
+
+410
+00:35:45,890 --> 00:35:54,750
+تلاتين بدو ييجي هدول قبلها بدو تيجي التلاتة اللي
+
+411
+00:35:54,750 --> 00:36:03,050
+هي تسعتاشر في الألف و بعدها مين الخمسة
+
+412
+00:36:03,050 --> 00:36:04,350
+اللي هي تلاتة و عشرين في الألف
+
+413
+00:36:08,640 --> 00:36:14,440
+خمسة نعم و هنا تسعة عشر في الألف و بعدين تيجي مين
+
+414
+00:36:14,440 --> 00:36:19,300
+ال node هي دي اللي هي الاربعة وتلاتين في الألف
+
+415
+00:36:19,300 --> 00:36:23,560
+اللي حاملة معاها ال nodes هدولة يعني هي root ل
+
+416
+00:36:23,560 --> 00:36:28,880
+هدولة كلهم مظبوط okay
+
+417
+00:36:28,880 --> 00:36:35,380
+فهو ما عملش نفس الأسلوب بس ببساطة راح دمج هدولة
+
+418
+00:36:36,360 --> 00:36:39,420
+تسعة عشر و تلاتة و عشرين تسعة عشر و تلاتة و عشرين
+
+419
+00:36:39,420 --> 00:36:44,260
+و طلعت ال node هذه الان الاربعة و التلاتين صارت
+
+420
+00:36:44,260 --> 00:36:47,920
+أقل من ال .. من ال .. من التنين و الأربعين فبيخد
+
+421
+00:36:47,920 --> 00:36:51,160
+.. و جاين ورا بعض فبيخدهم مع بعض بيطلع ستة و سبعين
+
+422
+00:36:51,160 --> 00:36:56,960
+الان ستة و سبعين ستة و سبعين خلاص هذا كله راح ده
+
+423
+00:36:56,960 --> 00:36:59,720
+الان صار بعدها مباشرة .. واحد .. واحد .. لأ تيجي
+
+424
+00:36:59,720 --> 00:37:02,960
+الواحد و سبعين قبل مظبوط واحد و سبعين قبل بعدين
+
+425
+00:37:02,960 --> 00:37:03,560
+ستة و سبعين
+
+426
+00:37:08,460 --> 00:37:14,020
+صح؟ لاحظي لأن ال 71 أقل أخدت ال zero و ال 71 أكتر
+
+427
+00:37:14,020 --> 00:37:18,120
+أخدت ال واحد ال واحد دايما على اليمين ال total و
+
+428
+00:37:18,120 --> 00:37:21,580
+بعدين في الآخر خلاص بعد هيك الأن هيتو زي ما انت
+
+429
+00:37:21,580 --> 00:37:29,060
+شايفه الأربعة اللي هي اللي هي أعلى frequency ال
+
+430
+00:37:29,060 --> 00:37:33,540
+code تبعها بس one bit اللي هو ال zero
+
+431
+00:37:36,490 --> 00:37:41,570
+ياليها في ناحية ال frequency التنين ال code تبعها
+
+432
+00:37:41,570 --> 00:37:49,530
+01 okay فهي الأكود هاي ال A هاي الأربعة Zero و مين
+
+433
+00:37:49,530 --> 00:37:56,960
+كمان التنين هاي واحد Zeroشوفي one bit تخيلي أنت لو
+
+434
+00:37:56,960 --> 00:38:01,720
+هذه الأربعة اللي هي أعلى frequency اللي هي الرماده
+
+435
+00:38:01,720 --> 00:38:05,480
+اللي خلفيه تبع الصورة بتاخد زيها زي الباجين كلهم
+
+436
+00:38:05,480 --> 00:38:11,400
+جدش جولي مثلا سبعة اتنين اربعة ستة جولي ستة bit
+
+437
+00:38:11,400 --> 00:38:16,400
+شوف جدش انت وفرتي على مستوى هذه بدل ما كنتي
+
+438
+00:38:16,400 --> 00:38:20,420
+هتضربيها هذا في ستة انت تضربيه في واحد واحد اللي
+
+439
+00:38:20,420 --> 00:38:24,000
+هو طول ال .. okay
+
+440
+00:38:25,850 --> 00:38:32,690
+فهذا بالبساطة اللي هي الـ Huffman Coding بناء على
+
+441
+00:38:32,690 --> 00:38:37,770
+الـ Huffman Tree الـ Huffman Tree بتبني هي عبارة
+
+442
+00:38:37,770 --> 00:38:40,110
+عن الـ Tree البنية تبعتها بتاعة تمد على ال
+
+443
+00:38:40,110 --> 00:38:43,270
+frequencies تبعت ال notes ال notes اللي
+
+444
+00:38:43,270 --> 00:38:47,350
+frequencies عالية بتبقى فوق و ال frequencies مخفضة
+
+445
+00:38:48,280 --> 00:38:52,700
+اللي انا لو فكرت فيها برضه على اساس زي spanning
+
+446
+00:38:52,700 --> 00:38:54,900
+tree .. spanning tree لما كنا بقول minimum
+
+447
+00:38:54,900 --> 00:38:57,680
+spanning tree ايش minimum spanning tree يعني ال
+
+448
+00:38:57,680 --> 00:39:01,120
+total cost تبعت لل tree منخفضة هتلاقي ان ال
+
+449
+00:39:01,120 --> 00:39:07,200
+Hoffman tree هي عبارة عن tree بعموله بحيث ان ال
+
+450
+00:39:07,200 --> 00:39:11,000
+total cost
+
+451
+00:39:11,000 --> 00:39:15,740
+تبعت لل tree minimum كيف يعني؟يعني هذي literally
+
+452
+00:39:15,740 --> 00:39:20,200
+يعني ايش ال cost تبع هذا المصار واحد ال cost تبع
+
+453
+00:39:20,200 --> 00:39:24,120
+هذا المصار اتنين يعني ايش اتنين يعني خطواتين ال
+
+454
+00:39:24,120 --> 00:39:28,640
+cost تبع هذا المصار خطواتين مظبوط لما تيجي تجمعي
+
+455
+00:39:28,640 --> 00:39:34,120
+ال total المصارات هذي .. هذي مصارها واحد هذي
+
+456
+00:39:34,120 --> 00:39:37,540
+مصارها اتنين هذي مصارها اتنين و تجسمي على عدد ال
+
+457
+00:39:37,540 --> 00:39:42,060
+notes بيطلع عندك ال average lengthالـ average ..
+
+458
+00:39:42,060 --> 00:39:46,900
+ال notes اللي في الـ tree هذه جداش بالمتوسط طول
+
+459
+00:39:46,900 --> 00:39:51,560
+المسار تبعهم هذا ال length ال average length هذا
+
+460
+00:39:51,560 --> 00:39:55,960
+ال minimum مقارنة لو احنا عاملين .. لو احنا عاملين
+
+461
+00:39:55,960 --> 00:40:02,360
+لكل واحد من الأكواد .. من الرموز هذه 6 bit يعني
+
+462
+00:40:02,360 --> 00:40:09,050
+عندي fixed هتيجي تلاقي ال .. كلهممن الـ root إلى
+
+463
+00:40:09,050 --> 00:40:13,750
+الـ 0 من الـ root إلى الـ 7 من الـ root إلى الـ 1
+
+464
+00:40:13,750 --> 00:40:19,030
+من الـ root إلى الـ 6 من الـ root إلى الـ 6 من الـ
+
+465
+00:40:19,030 --> 00:40:25,690
+6 من الـ
+
+466
+00:40:25,690 --> 00:40:25,970
+root إلى الـ 1 من الـ root إلى الـ 6 من الـ root
+
+467
+00:40:25,970 --> 00:40:25,970
+إلى الـ 6 من الـ root إلى الـ 6 من الـ root إلى
+
+468
+00:40:25,970 --> 00:40:26,130
+الـ 1 من الـ root إلى الـ 6 من الـ root إلى الـ 6
+
+469
+00:40:26,130 --> 00:40:26,130
+من الـ root إلى الـ 6 من الـ root إلى الـ 6 من الـ
+
+470
+00:40:26,130 --> 00:40:26,130
+root إلى الـ 1 من الـ root إلى الـ 1 من الـ root
+
+471
+00:40:26,130 --> 00:40:26,130
+إلى الـ 6 من الـ root إلى الـ 6 من الـ root إلى
+
+472
+00:40:26,130 --> 00:40:26,250
+الـ 6 من الـ root إلى الـ 6 من الـ root إلى الـ 6
+
+473
+00:40:26,250 --> 00:40:26,250
+من الـ root إلى الـ 6 من الـ root إلى الـ 6 من الـ
+
+474
+00:40:26,250 --> 00:40:26,250
+root إلى الـ 6 من الـ root إلى الـ 6 من الـ root
+
+475
+00:40:26,250 --> 00:40:29,680
+إلى الـ 6 من الـ root إلى الـ 6 من الـ rootهذا لو
+
+476
+00:40:29,680 --> 00:40:33,600
+fixed بيطلع ال average ستة لكن ال Hoffman Tree
+
+477
+00:40:33,600 --> 00:40:40,200
+بتخفض الرقم هذا إلى يعني زي هنا حسبها كداش طالعة
+
+478
+00:40:40,200 --> 00:40:46,400
+لهذا مش محسب لها بس المهم بيطلع أجل بكتير من ال
+
+479
+00:40:46,400 --> 00:40:53,610
+average هنا الحسبة هذه اتنين و ربعلمن؟ لـ A و B و
+
+480
+00:40:53,610 --> 00:40:57,350
+C و D لو احنا الـ A و B و C دي بنعملهم fixed هنعطي
+
+481
+00:40:57,350 --> 00:41:01,990
+لكل واحد تلاتة bit تلاتة في عددهم على هذا بيطلع
+
+482
+00:41:01,990 --> 00:41:06,310
+تلاتة ال average تلاتة لكن ايش طلع معاه هو اتنين و
+
+483
+00:41:06,310 --> 00:41:13,250
+ربع بيخفض ال average length ل ال quad إلى كمية اقل
+
+484
+00:41:13,250 --> 00:41:16,290
+كذلك الحلو اللي بتحسبيه هنا هطلع برضه مخفض اكتر
+
+485
+00:41:17,420 --> 00:41:20,380
+ماشي الحالة، هيك احنا بنكون خلصنا section تسعة
+
+486
+00:41:20,380 --> 00:41:25,980
+أربعة و المحاضرة الجاية ان شاء الله بن .. بننتقل
+
+487
+00:41:25,980 --> 00:41:27,020
+لأشهر أبطال عشرة
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/mDsSMoka0Uk.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/mDsSMoka0Uk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7fcde1a82aad5c90b2717dd899663b6c3e178c31
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/mDsSMoka0Uk.srt
@@ -0,0 +1,1925 @@
+1
+00:00:21,280 --> 00:00:23,420
+بسم الله الرحمن الرحيم الصلاة و السلام علي أشرف
+
+2
+00:00:23,420 --> 00:00:28,200
+المصريين اليوم إن شاء الله سنكمل المحاضرة الثانية
+
+3
+00:00:28,200 --> 00:00:33,520
+في الـ introduction في المحاضرة الأولى كنا تعرّفنا
+
+4
+00:00:33,520 --> 00:00:37,640
+على الـ algorithm، أخذناها، شفنا تعريفاً لها، تعريفاً للـ
+
+5
+00:00:37,640 --> 00:00:40,800
+algorithm، ماذا يعني algorithm، وبعدين أيضاً كمان
+
+6
+00:00:40,800 --> 00:00:44,240
+شفنا problem وشفنا ثلاثة examples أو example
+
+7
+00:00:44,240 --> 00:00:47,840
+algorithms لمعالجة هذه الـ problem، الـ problem كانت
+
+8
+00:00:47,840 --> 00:00:54,480
+اللي هي الـ greatest common divisor، okay
+
+9
+00:00:54,480 --> 00:00:58,060
+وشفنا ثلاث طرق، اللي هو الـ Euclid's algorithm
+
+10
+00:00:58,060 --> 00:01:02,700
+والـ minimum iterating down to zero، و using primes
+
+11
+00:01:02,700 --> 00:01:06,920
+طلعنا على الـ examples هذه الثلاثة بهدف أن نرى
+
+12
+00:01:06,920 --> 00:01:09,920
+الخصائص المهمة في الـ algorithm، اللي هي الـ non
+
+13
+00:01:09,920 --> 00:01:13,560
+ambiguity، وإنه الـ range of inputs يبقى محدداً، وإنه
+
+14
+00:01:13,560 --> 00:01:17,260
+الـ algorithms ممكن أن يكون لها أكثر من one single
+
+15
+00:01:17,260 --> 00:01:20,420
+representation، أكثر من representation، وإنه ممكن
+
+16
+00:01:20,420 --> 00:01:22,820
+يكون في several algorithms لمعالجة الـ problem
+
+17
+00:01:22,820 --> 00:01:27,120
+الواحدة، و very several حتى كمان يعني، وإنه هذه الـ
+
+18
+00:01:27,120 --> 00:01:31,690
+algorithms المختلفة جاية بـ approaches مختلفة، وهذا
+
+19
+00:01:31,690 --> 00:01:36,110
+بينعكس على الـ speed، أن كل واحدة ستختلف سرعتها
+
+20
+00:01:36,110 --> 00:01:40,210
+عن الثانية، وهذا هو أهم أمر في الموضوع، لأنه
+
+21
+00:01:40,210 --> 00:01:42,610
+نحن كل الـ course تبعنا، الـ design والـ analysis
+
+22
+00:01:42,610 --> 00:01:45,630
+ندرس الـ design والـ analysis عشان خاطر أن نقدر
+
+23
+00:01:45,630 --> 00:01:48,170
+نتميز ما بين الـ algorithms على أساس الـ efficiency
+
+24
+00:01:48,170 --> 00:01:51,210
+والـ speed والكلام هذا كله، طيب نحن اليوم إن شاء
+
+25
+00:01:51,210 --> 00:01:55,230
+الله هذا كله كان section 1.1، وبدأنا في 1.2 في
+
+26
+00:01:55,230 --> 00:02:00,430
+الكتاب، لم نكمله، آه 1.2 اللي هو
+
+27
+00:02:04,360 --> 00:02:07,780
+اللي هو الـ fundamentals of algorithmic problem
+
+28
+00:02:07,780 --> 00:02:11,500
+solving، وتوقفنا عند هذه النقطة بالتحديد في المحاضرة
+
+29
+00:02:11,500 --> 00:02:15,680
+الماضية، وهذه النقطة تابعة لـ section 1.2، سنكملها
+
+30
+00:02:15,680 --> 00:02:19,940
+اليوم إن شاء الله، وبعد ذلك سنكمل في 1.3، ونرى أيش
+
+31
+00:02:19,940 --> 00:02:26,860
+نقدر أن نأخذ من 1.4 أيضاً، الـ fundamentals الـ
+
+32
+00:02:26,860 --> 00:02:29,460
+fundamentals of algorithmic problem solving
+
+33
+00:02:29,460 --> 00:02:36,200
+تذكرنا بالنقاط، اللي هي النقاط هذه، اللي هي عبارة
+
+34
+00:02:36,200 --> 00:02:40,180
+عن الـ activities اللي يقوم بها الـ algorithm
+
+35
+00:02:40,180 --> 00:02:43,260
+designer، كنتُ أبدأ بقول programmer، بعدين قلتُ لا، الـ
+
+36
+00:02:43,260 --> 00:02:47,310
+programmer ليس هو الذي عادةً يقوم بعمل الـ algorithm كثيراً
+
+37
+00:02:47,310 --> 00:02:50,150
+من الأحيان، يكون هناك من يقوم بعمل الـ algorithm، وواحد بعدين
+
+38
+00:02:50,150 --> 00:02:54,730
+يقوم بـ coding، صحيح؟  لكن في الواقع نجد أنفسنا
+
+39
+00:02:54,730 --> 00:03:02,030
+دائماً كأنه  مثل الجاذبية الأرضية، نسقط
+
+40
+00:03:02,030 --> 00:03:06,610
+من فوق على طول إلى أسفل، يعني أول شيء understanding
+
+41
+00:03:06,610 --> 00:03:09,390
+the problem، ومرة واحدة نجد أنفسنا
+
+42
+00:03:10,060 --> 00:03:13,520
+آه، قوة جاذبية، لا أعرف ما هي جاذبية الـ code، و
+
+43
+00:03:13,520 --> 00:03:18,180
+جاذبية الـ keyboard، ننزل نبرمج على طول، قبل ما
+
+44
+00:03:18,180 --> 00:03:23,680
+بدون أن نعطي اهتماماً أو انتباهاً
+
+45
+00:03:23,680 --> 00:03:26,580
+للنقاط الأخرى الواقعة بينهما
+
+46
+00:03:28,210 --> 00:03:31,970
+واضح؟ فيصبح نحن algorithm designer و programmer
+
+47
+00:03:31,970 --> 00:03:35,130
+في نفس الوقت، لكن من المفروض أنني حتى لو كنتُ أنا الذي
+
+48
+00:03:35,130 --> 00:03:39,270
+أبدأ البرمجة، أعزل نفسي قليلاً عن البرمجة في البداية، أكمل
+
+49
+00:03:39,270 --> 00:03:43,670
+أو أعطي الـ algorithm حقها، وبعدين أبدأ في
+
+50
+00:03:43,670 --> 00:03:47,970
+الـ coding، ما هو in between هذا؟ أول شيء قلنا
+
+51
+00:03:47,970 --> 00:03:50,290
+understand the problem، للتأكد من أننا نفهم ما هي الـ
+
+52
+00:03:50,290 --> 00:03:56,620
+problem، وما المطلوب، بعد ذلك، لابد من عدة شغلات، كنتُ
+
+53
+00:03:56,620 --> 00:04:00,000
+أبدأ بقول أولاً، بعدين لا، القصة ممكن تأتي بترتيب
+
+54
+00:04:00,000 --> 00:04:05,060
+غير ضروري، هذا الترتيب في عدة مهام لابد أن أقوم بها، وهي
+
+55
+00:04:05,060 --> 00:04:07,320
+to ascertain the capabilities of the computation
+
+56
+00:04:07,320 --> 00:04:10,300
+device، أنا أصلاً من الذي قال إن الـ algorithm دائماً
+
+57
+00:04:10,300 --> 00:04:13,640
+يجب أن تُنفذ على pc، ممكن أن تُنفذ على
+
+58
+00:04:13,640 --> 00:04:17,900
+supercomputer، ممكن على single processor، ممكن على
+
+59
+00:04:17,900 --> 00:04:20,860
+parallel processor، ممكن على mobile device، ممكن على
+
+60
+00:04:20,860 --> 00:04:25,280
+watch، ممكن على أي نوع من أجهزة الحوسبة، فلا بد
+
+61
+00:04:25,280 --> 00:04:28,380
+في الأول أن أستكشف أو أتعرف على ما هو جهاز الحوسبة
+
+62
+00:04:28,380 --> 00:04:31,140
+الذي سيُنفذ هذه الـ algorithm، لئلا
+
+63
+00:04:31,140 --> 00:04:34,860
+أُصمم الـ algorithm لتكون غير واقعية للجهاز، يعني
+
+64
+00:04:34,860 --> 00:04:37,920
+أكثر من قدراته، أو أقل من قدراته، يوجد لديه قدرات
+
+65
+00:04:37,920 --> 00:04:42,380
+وأنا لستُ مستفيداً منها، فهذه ربما تأتي كأول خطوة
+
+66
+00:04:42,380 --> 00:04:45,660
+بعد أن أفهم الـ problem، أعرف ما هو الجهاز الذي
+
+67
+00:04:45,660 --> 00:04:51,020
+سيُنفذ هذه الـ algorithm، قدراته، لئلا أكون يعني
+
+68
+00:04:52,580 --> 00:04:58,180
+لا أزيد ولا أنقص، النقطة
+
+69
+00:04:58,180 --> 00:05:04,520
+التالية هي choosing، بين هل أنا أبحث عن حل
+
+70
+00:05:04,520 --> 00:05:09,460
+حل دقيق، أم أقبل بنسبة من الخطأ، approximate
+
+71
+00:05:09,460 --> 00:05:12,980
+في كثير من الأحيان ليس لديّ مفر من الـ
+
+72
+00:05:12,980 --> 00:05:15,580
+approximation، يعني مثلاً، على سبيل المثال في الـ
+
+73
+00:05:15,580 --> 00:05:18,280
+في الـ numerical problems، يعني لو أردتُ أن أحسب
+
+74
+00:05:18,480 --> 00:05:22,640
+الـ Integral، أو أُحسب الـ root، الـ root
+
+75
+00:05:22,640 --> 00:05:26,280
+يعني مثلاً، الأربعة، ما هو جذرها؟ الاثنين، صحيح؟ الاثنين
+
+76
+00:05:26,280 --> 00:05:30,980
+هذا هو الجذر الدقيق، لا كلام فيه، لكن لو قلتُ
+
+77
+00:05:30,980 --> 00:05:35,540
+الأربعة ونصف، ما هو جذرها؟ لو حسبتُ ووضعته على
+
+78
+00:05:35,540 --> 00:05:39,380
+الكمبيوتر، وطلع لي الرقم، هذا الرقم ليس دقيقاً، بل هو
+
+79
+00:05:39,380 --> 00:05:43,140
+أقرب ما يمكن بناءً على طاقة الجهاز وقدراته في
+
+80
+00:05:43,140 --> 00:05:47,780
+الحساب، وأخذ بالك، والـ algorithm التي استخدمت في
+
+81
+00:05:47,780 --> 00:05:50,380
+حساب هذا، في problems خاصة في الـ numerical
+
+82
+00:05:50,380 --> 00:05:53,680
+problems، أكون غير قادر على الحصول على حل دقيق
+
+83
+00:05:53,680 --> 00:05:58,080
+لكن أقبل، و بدرجة عالية من الرضا، بـ approximate
+
+84
+00:05:58,080 --> 00:06:02,410
+solution، أيضاً في الـ integrals، كما أريد أن أحسب
+
+85
+00:06:02,410 --> 00:06:06,850
+المساحة تحت الـ curve، هذه طريقة حساب
+
+86
+00:06:06,850 --> 00:06:09,670
+المساحة، أيضاً تعطي approximate، لكن approximate
+
+87
+00:06:09,670 --> 00:06:16,830
+إلى حد بعيد جداً، قريب جداً من الدقيق، فهذا أريد أنا
+
+88
+00:06:16,830 --> 00:06:21,350
+أن أعرفه في البداية، قرار أُتخذه، أو سؤال أُجيب
+
+89
+00:06:21,350 --> 00:06:24,490
+عليه، هل هو ضروري أن يكون دقيقاً أم ممكن أن يكون
+
+90
+00:06:24,490 --> 00:06:27,970
+approximate، ثانياً، ما يُقرر أيضاً ما هو الـ
+
+91
+00:06:27,970 --> 00:06:31,930
+algorithm design technique، في الـ section 1.3، نطلع
+
+92
+00:06:31,930 --> 00:06:34,830
+على design techniques بصفة عامة، المادة هذه
+
+93
+00:06:34,830 --> 00:06:39,110
+كلها، إذا نظرتَ إلى الـ topic outline، فصول، أسماء
+
+94
+00:06:39,110 --> 00:06:42,130
+الفصول هي عبارة عن design techniques في الأول
+
+95
+00:06:42,130 --> 00:06:47,550
+نطلع مثلاً على الـ brute force، بعدين الـ divide and
+
+96
+00:06:47,550 --> 00:06:50,960
+conquer، بعد ذلك، كل هذه عبارة عن أنواع أو أساليب أو
+
+97
+00:06:50,960 --> 00:06:54,600
+منهجيات في تصميم الخوارزميات، فأنا لابد أن أقرر ما هي
+
+98
+00:06:54,600 --> 00:06:59,180
+المنهجية، ما هو الأسلوب الأنسب للتعامل مع هذه الـ
+
+99
+00:06:59,180 --> 00:07:03,620
+problem التي بين يديّ، ومتى حددتُ ما هو الأسلوب
+
+100
+00:07:03,620 --> 00:07:10,460
+الأنسب، أصبحت عناصر الـ algorithm واضحة، لكن
+
+101
+00:07:10,460 --> 00:07:16,080
+يجب أن أطبق الـ algorithm على الـ problem، okay Designing
+
+102
+00:07:16,080 --> 00:07:20,480
+أيضاً هنا عملياً أبدأ بوضع الـ steps الـ
+
+103
+00:07:20,480 --> 00:07:23,780
+steps الخاصة بالـ algorithm، ومعها أيضاً designing الـ
+
+104
+00:07:23,780 --> 00:07:27,080
+algorithm، ومعها أيضاً ما هو الـ data structure
+
+105
+00:07:27,080 --> 00:07:30,620
+التي تستخدمها الـ algorithm في معالجة المسألة،
+
+106
+00:07:30,620 --> 00:07:33,120
+يعني مثلاً لو كانت sorting problem أو searching
+
+107
+00:07:33,120 --> 00:07:37,860
+problem، هل ستكون list أم tree أم array، وما
+
+108
+00:07:37,860 --> 00:07:42,080
+نوعها من الـ list،  كـ linked list، صحيح؟ تبدأ بوضع المواصفات
+
+109
+00:07:42,080 --> 00:07:48,640
+الخاصة بالـ data structure، يوم
+
+110
+00:07:48,640 --> 00:07:52,420
+أكون قد أنهيتُ هذه الجزئية، يكون قد اكتمل أمامي
+
+111
+00:07:52,420 --> 00:07:57,060
+الخطوات، لكن ربما لازال في ذهني، أُعبر عنها، أُعبر
+
+112
+00:07:57,060 --> 00:08:00,760
+عنها بأحد الطرق، نحن في المحاضرة الماضية أشرنا إلى
+
+113
+00:08:00,760 --> 00:08:07,350
+ثلاثة أشكال، اللي هو أن الـ natural language، أن
+
+114
+00:08:07,350 --> 00:08:11,190
+أكتب الـ steps باللغة العادية، أو بـ pseudo code، أو
+
+115
+00:08:11,190 --> 00:08:16,710
+أعمل flow chart، صحيح؟ هنا يجب أن أختار الـ
+
+116
+00:08:16,710 --> 00:08:19,750
+method of specifying أو expressing الـ algorithm
+
+117
+00:08:19,750 --> 00:08:24,370
+الخاصة بي، الآن انتهيت؟ لا لم أنته، يجب أن أُثبت أن الـ
+
+118
+00:08:24,370 --> 00:08:29,830
+algorithm هذه تجد حلاً، وأن هذا الحل optimal، أن
+
+119
+00:08:29,830 --> 00:08:35,250
+لا توجد algorithm أخرى ستجد حلاً أفضل منه، أو أن
+
+120
+00:08:35,250 --> 00:08:39,090
+الـ algorithm هذه عندما تجد الـ solution، لن تجد solution
+
+121
+00:08:39,090 --> 00:08:42,330
+آخر يكون أفضل من الـ solution الذي وجدته،
+
+122
+00:08:42,940 --> 00:08:46,460
+هنا approving الـ algorithm correctness، أنها
+
+123
+00:08:46,460 --> 00:08:50,080
+correct، تجد حلاً، والحل صحيح، وأحياناً أيضاً
+
+124
+00:08:50,080 --> 00:08:52,800
+يكون مطلوباً أن يكون optimal، ماذا يعني optimal؟ يعني أفضل ما
+
+125
+00:08:52,800 --> 00:08:57,620
+يمكن إيجاده، هذا أيضاً يجب أن أُثبته، أن الـ
+
+126
+00:08:57,620 --> 00:09:01,800
+algorithm الخاصة بي... okay لأن analyzing الـ
+
+127
+00:09:01,800 --> 00:09:04,400
+algorithm، لماذا؟ قمتُ بـ proving، لماذا أحتاج أن أقوم بـ
+
+128
+00:09:04,400 --> 00:09:06,720
+analyzing؟ أحتاج أن أقوم بـ analyzing لغرض الـ
+
+129
+00:09:06,720 --> 00:09:09,600
+efficiency والـ speed، والأمور هذه، لأن ربما أستطيع
+
+130
+00:09:09,600 --> 00:09:14,910
+أن أُعدلها، بعد، حتى وإن كانت correct وتجد الـ
+
+131
+00:09:14,910 --> 00:09:19,530
+solution، ربما يوجد مجال للتعديل عليها بحيث أن
+
+132
+00:09:19,530 --> 00:09:23,010
+أُحسّن ما هو الـ performance الخاص بها، لو... لو أنا
+
+133
+00:09:23,010 --> 00:09:26,490
+وجدتُ أن الـ performance الخاص بها big O of N
+
+134
+00:09:26,490 --> 00:09:31,730
+square، صعب جداً، يعني إذا وجدتُ طريقة لتغيير أو
+
+135
+00:09:31,730 --> 00:09:37,350
+...آه، بحيث أن... الآن هذا الكلام، أول شيء لابد أن أقوم بـ
+
+136
+00:09:37,350 --> 00:09:41,920
+analyzing، سواء theoretical، بالورقة والقلم، بالطرق
+
+137
+00:09:41,920 --> 00:09:44,700
+التي هكذا، أو experimental، بأنني أطبقها، وأُحسب
+
+138
+00:09:44,700 --> 00:09:49,540
+المهم في الآخر، أنا ضروري أن أقوم بـ analysis، عشان
+
+139
+00:09:49,540 --> 00:09:53,140
+أرى أدائها، وأرى أدائها مقارنةً بغيرها من الـ
+
+140
+00:09:53,140 --> 00:09:55,500
+algorithms الأخرى التي تحلّ نفس المسألة،
+
+141
+00:09:55,500 --> 00:10:01,400
+بعد ذلك أبدأ عملية الـ coding، okay، لحظة أخيرة أقول أن
+
+142
+00:10:01,400 --> 00:10:04,360
+هذا الكلام كله كأنه عملية software engineering
+
+143
+00:10:04,360 --> 00:10:08,840
+process، أو كأنه عملية إنشاء هندسة برنامج كبير، أو
+
+144
+00:10:08,840 --> 00:10:12,860
+system كبير، ما أقوله هو أن الأمر يعتمد، مثل أيضاً
+
+145
+00:10:12,860 --> 00:10:16,860
+في الـ software engineering، يعتمد هل القضية تحتاج
+
+146
+00:10:16,860 --> 00:10:21,340
+إلى هذا التعب كله، أم أقبل بـ algorithm فقط
+
+147
+00:10:21,340 --> 00:10:25,240
+تقوم بالغرض، والسلام، في كثير من الحالات يقول لنا
+
+148
+00:10:25,240 --> 00:10:30,940
+حالنا، ماذا نريد أن نفعل، لكن عندما يكون الأمر يعتمد
+
+149
+00:10:30,940 --> 00:10:34,900
+عليه، يعني أن تكون الـ algorithm هذه تعمل some
+
+150
+00:10:34,900 --> 00:10:37,520
+basic functionality التي يعتمد عليها، يعني نقول
+
+151
+00:10:37,520 --> 00:10:40,800
+مثلاً الـ sorting، وتحتاج إلى استخدامها في database
+
+152
+00:10:40,800 --> 00:10:43,500
+management system، والـ database management system
+
+153
+00:10:43,500 --> 00:10:47,560
+هذا يقوم بعملية الـ sorting ألف مرة في الدقيقة، و
+
+154
+00:10:47,560 --> 00:10:51,250
+تكون الـ algorithm الخاصة بك سيئة، إذن الـ
+
+155
+00:10:51,250 --> 00:10:54,290
+system كله أصبح سيئاً، هنا يصبح هناك
+
+156
+00:10:54,290 --> 00:11:00,070
+مطلوباً جهد أكبر في أن نقوم بهذا الكلام كله
+
+157
+00:11:00,070 --> 00:11:02,930
+من أجل، حتى لو أردنا تحسين 1% في
+
+158
+00:11:02,930 --> 00:11:06,130
+أداء الـ algorithm، لأنه سيؤثر كثيراً على
+
+159
+00:11:06,130 --> 00:11:11,470
+المجمل، تمام، هذه هي الـ fundamentals of
+
+160
+00:11:11,470 --> 00:11:17,190
+algorithmic problems، عملية حل المسألة من خلال وضع
+
+161
+00:11:17,190 --> 00:11:20,570
+algorithm لها، هذه العملية يجب أن تنطوي على هذه
+
+162
+00:11:20,570 --> 00:11:24,230
+الأنشطة أو الـ activities، الـ activities هذه
+
+163
+00:11:24,230 --> 00:11:29,190
+متسلسلة بهذا الترتيب، أو بنوع من الـ looping أو الـ
+
+164
+00:11:29,190 --> 00:11:32,990
+iteration، يعتمد على طبيعة المُحلّل، أنه ممكن
+
+165
+00:11:32,990 --> 00:11:36,490
+مثلاً أنا عندما آتي لأقوم بـ analysis وأجد أن الـ
+
+166
+00:11:36,490 --> 00:11:40,530
+algorithm فيها إشكالية، أعود ثانيةً إلى ما هو
+
+167
+00:11:40,530 --> 00:11:46,090
+نقاطها، لأن الـ design، ربما أنا أخطأتُ في تقدير الـ
+
+168
+00:11:46,090 --> 00:11:50,510
+capabilities الخاصة بالـ device، ربما أنا أخطأتُ في أن
+
+169
+00:11:50,510 --> 00:11:55,160
+كنتُ مقرراً أن يكون دقيقاً، أو أردتُ
+
+170
+00:11:55,160 --> 00:11:58,340
+أن أقوم بـ approximate أفضل، أو بحيث أنني أقوم بـ approximate، أتيتُ
+
+171
+00:11:58,340 --> 00:12:02,300
+منه، لا أريد دقيقاً، أو ربما اخترتُ الـ design
+
+172
+00:12:02,300 --> 00:12:05,060
+technique، الخطأ في التعامل معها، لأن divide and
+
+173
+00:12:05,060 --> 00:12:07,960
+conquer، لكن المفروض أن أتعامل معها على شكل
+
+174
+00:12:07,960 --> 00:12:14,580
+greedy approach، المهم فالتسلسل هذا ليس ضرورياً أن يكون
+
+175
+00:12:14,580 --> 00:12:20,670
+متسلسلاً، ممكن أن يكون حسب الحاجة، يعني، okay هنا
+
+176
+00:12:20,670 --> 00:12:25,750
+نحن نكون عملياً قد أنهينا section 1.2، الآن الـ
+
+177
+00:12:25,750 --> 00:
+
+223
+00:16:15,990 --> 00:16:21,230
+عندي مجموعة من العناصر إما numeric أو alphabetical
+
+224
+00:16:21,230 --> 00:16:28,990
+و بدي ارتبهم، وبدي ارتبهم تعرفوا إيش يعني in
+
+225
+00:16:28,990 --> 00:16:32,830
+place algorithms، الـ algorithms اللي بنوصفها بينها
+
+226
+00:16:32,830 --> 00:16:36,950
+in place في الـ sorting، في مجال الـ sorting  حد
+
+227
+00:16:36,950 --> 00:16:43,270
+بيتذكر لما درست الـ sorting، في عندك algorithm، إيش الـ
+
+228
+00:16:43,270 --> 00:16:47,090
+algorithm بتاخد؟ بتاخد array أو مجموعة قد تكون
+
+229
+00:16:47,090 --> 00:16:50,810
+array أو list أو كده، ومطلوب أن هتعطيني array إذا
+
+230
+00:16:50,810 --> 00:16:54,210
+أعطيناها array، تبقى الـ array اللي أعطيناها هي اللي
+
+231
+00:16:54,210 --> 00:16:58,870
+مش مرتبة، ومطلوب أن هتعطيني array مرتبة، صح؟ فالـ in
+
+232
+00:16:58,870 --> 00:17:05,160
+place هي الـ algorithm اللي بترتب الـ array اللي دخلت
+
+233
+00:17:05,160 --> 00:17:11,820
+لها بدون ما تعمل array أخرى temporary، يعني بترتب
+
+234
+00:17:11,820 --> 00:17:14,760
+العناصر في مكانهم، وهم جاعدين في مكانهم من هنا
+
+235
+00:17:14,760 --> 00:17:17,960
+الاسم in place، بترتب عناصر الـ array وهم جاعدين في
+
+236
+00:17:17,960 --> 00:17:20,760
+الـ array، يعني بتعمل مثلاً shuffling من هذا وهذا بس
+
+237
+00:17:20,760 --> 00:17:26,320
+بتستخدم وتغير وسيط وتحط فيه وبعدين بت...صح
+
+238
+00:17:26,320 --> 00:17:29,480
+هذا الـ in place، اللي مش in place اللي هي بتستخدم
+
+239
+00:17:29,480 --> 00:17:34,780
+array إضافية تشتغل عليها، طيب الـ stable...الـ
+
+240
+00:17:34,780 --> 00:17:38,720
+stable في الـ sorting برضه، إيش يعني تكون الـ sorting
+
+241
+00:17:38,720 --> 00:17:44,780
+algorithm stable أو مش stable، بتكون stable لما
+
+242
+00:17:44,780 --> 00:17:49,780
+احنا نقول مثلاً، أنا معطية،أقول عدة أشخاص، كل شخص فيه
+
+243
+00:17:49,780 --> 00:17:53,580
+له اسمه، فيه له تاريخ ميلاده، فيه له عمره ووزنه وعدة
+
+244
+00:17:53,580 --> 00:17:57,380
+attributes، يعني خصائص، وبقول للـ Algorithm راتبيه
+
+245
+00:17:57,380 --> 00:18:03,040
+لهم على أساس تاريخ الميلاد، ماشي؟ فعنا مثلاً لأ بلاش
+
+246
+00:18:03,040 --> 00:18:07,440
+تاريخ الميلاد، قولي الـ طول، فواحد طوله مية
+
+247
+00:18:07,440 --> 00:18:14,120
+وعشرين، وواحد طوله سبعين، سبعين قصير كتير، خلينا نقول
+
+248
+00:18:14,120 --> 00:18:14,760
+هذا أوزان
+
+249
+00:18:17,300 --> 00:18:22,240
+مش بيبقى قصير كتير، أو سبعين، ثمانين
+
+250
+00:18:22,240 --> 00:18:29,220
+وثمانين، قول مثلاً ستين، قول مثلاً مية وخمسة زي هيك
+
+251
+00:18:29,220 --> 00:18:35,160
+قول بس هدول، هذا اسمه علي، وهذا اسمه أحمد، وهذا اسمه
+
+252
+00:18:35,160 --> 00:18:44,060
+عمر، وهذا اسمه ياسر، وهذا اسمه إيش اسم قصير، اعطوني
+
+253
+00:18:44,060 --> 00:18:51,990
+اسم قصير، علي،رضى،فادي،أنا عارف أي حاجة، المهم لأ
+
+254
+00:18:51,990 --> 00:19:01,150
+بدنا الآن اتنين نفس الوزن، خالد، الآن هدول الإثنين
+
+255
+00:19:01,150 --> 00:19:04,970
+دخلوا نفس الوزن في الـ array، الـ sorting أنا بدي
+
+256
+00:19:04,970 --> 00:19:09,750
+تعملي الـ sorting على أساس الوزن، فتعطيني إياهُم ستين
+
+257
+00:19:09,750 --> 00:19:13,350
+بعدين ثمانين وثمانين، بعدين ثمانين وثمانين، صح؟
+
+258
+00:19:13,350 --> 00:19:22,470
+بعدين سبعين...لأ في سبعين،مش فيه 70، هذا 120
+
+259
+00:19:22,470 --> 00:19:28,790
+صح هيك، الآن هذا الـ 60 طبعاً ما فيش غير اللي هو ياسر
+
+260
+00:19:28,790 --> 00:19:32,190
+وهذا الـ 70 ما فيش غير اللي هو أحمد، وهذا الـ 88 فيه
+
+261
+00:19:32,190 --> 00:19:37,010
+إثنين، فيه عمر وفيه خالد، تمام، لو أعطتني عمر جاب
+
+262
+00:19:37,010 --> 00:19:44,670
+الخالد، معناه stable،الترتيب اللي دخل فيه هو نفس
+
+263
+00:19:44,670 --> 00:19:49,040
+الترتيب اللي خرج، لكن لو أعطتني إياهُم شكل ثاني أنتَ
+
+264
+00:19:49,040 --> 00:19:59,140
+بجانب الـ unstable، تمام، الآن
+
+265
+00:19:59,140 --> 00:20:02,520
+ملاحظة أخرى بالنسبة للـ sorting، أنه حتى الآن أفضل
+
+266
+00:20:02,520 --> 00:20:06,680
+أداء في الـ sorting هي الخوارزميات الـ big O، يعني الـ
+
+267
+00:20:06,680 --> 00:20:15,560
+worst case performance تبعها N log N، على الوزن
+
+268
+00:20:20,920 --> 00:20:23,520
+لا ما قلناش إيش الاستخدام، unstable أو stable، قلنا
+
+269
+00:20:23,520 --> 00:20:26,700
+احنا بدنا نوصف الـ algorithm هي stable ولا لأ، آه
+
+270
+00:20:26,700 --> 00:20:29,560
+لما وصفناها، ووصفناها، بدناها، بنقلّهم الأسماء، أيوه
+
+271
+00:20:29,560 --> 00:20:33,680
+صحيح، لأن هم مش الأسماء، عشان الأسماء بس، لأن احنا
+
+272
+00:20:33,680 --> 00:20:37,800
+أعطينا الـ 88 هذه قبل ما نعطيه الـ 88 هذه، لكن لما
+
+273
+00:20:37,800 --> 00:20:45,180
+رجع لي، رجع لي هنا، أعطاني الـ 88 الأولى، يعني أنا الاسم
+
+274
+00:20:45,180 --> 00:20:48,700
+بس عشان نميز هذه الـ 88 عن هذه الـ 88، صح؟
+
+275
+00:20:54,550 --> 00:20:57,830
+واصف لما يكون عندي، ما هو، أخذ بالك، أنا بعطيها عدة
+
+276
+00:20:57,830 --> 00:21:01,490
+عناصر، وبقول لها رتب لي إياها على الـ key معين
+
+277
+00:21:01,490 --> 00:21:05,710
+العناصر هم الـ individual، هم الشخص، أنا أعطيتها
+
+278
+00:21:05,710 --> 00:21:09,750
+الشخص هذا في الأول، بعدين الشخص هذا في الأول، بعدين
+
+279
+00:21:09,750 --> 00:21:14,850
+راحت هي رتبت لي إياها بنفس الترتيب، كـ stable، أعطتني إياها
+
+280
+00:21:14,850 --> 00:21:18,250
+في الـ output بنفس الترتيب دخولهم، كـ stable
+
+281
+00:21:18,250 --> 00:21:23,290
+أعطتني إياها غير الترتيب اللي دخل عليها، حتى وإن كانوا
+
+282
+00:21:23,290 --> 00:21:28,370
+مرتبين، صح؟ في الـ key بالنسبة للـ key مرتبين، صح؟ مش أشكال
+
+283
+00:21:28,370 --> 00:21:33,210
+المهم أنه أجه هذا طلع معانا في الـ output قبل هذاك
+
+284
+00:21:33,210 --> 00:21:36,790
+واضحة
+
+285
+00:21:36,790 --> 00:21:39,490
+هذه النقطة الأخيرة، اللي هي أن الـ best performance
+
+286
+00:21:39,490 --> 00:21:45,730
+في الـ sorting algorithms so far هو الـ N log N، تمام
+
+287
+00:21:45,730 --> 00:21:49,310
+الـ searching برضه بنعرفه، الـ searching اللي هو أنه
+
+288
+00:21:49,310 --> 00:21:53,550
+أنا برضه هنا بكون عندي مجموعة، وب...وب...أبحث
+
+289
+00:21:53,550 --> 00:21:59,570
+عن هل في عنصر يطابق condition معايا أو criteria
+
+290
+00:21:59,570 --> 00:22:06,390
+معايا، هل في واحد وزنه 88، هل في واحد وزنه 65، هل في
+
+291
+00:22:06,390 --> 00:22:11,510
+واحد وزنه 113 مثلاً، فهذا الـ search، ولا لأ، برضه على
+
+292
+00:22:11,510 --> 00:22:15,890
+أساس key، برضه على أساس key، اللي عن الـ searching
+
+293
+00:22:15,890 --> 00:22:21,490
+algorithms، آه طبعاً أنا اللي بدخل على الـ...على الـ
+
+294
+00:22:21,490 --> 00:22:26,090
+algorithm يكون set، مجموعة، مجموعة هذه قد تكون
+
+295
+00:22:26,090 --> 00:22:28,830
+ordered وقد تكون لا، يعني قد تكون sorted وقد تكون
+
+296
+00:22:28,830 --> 00:22:32,810
+مش sorted، المهم أن هذه المجموعة، هل أنا هأتناول
+
+297
+00:22:32,810 --> 00:22:37,750
+عناصرها sequentially يعني من الأول للآخر، ولا في
+
+298
+00:22:37,750 --> 00:22:44,000
+نوع من القفز ما بينهم وأنا بدور جاعد، إذا...إذا
+
+299
+00:22:44,000 --> 00:22:48,060
+sequential، إن هم حسب ترتيبهم اللي هم جاعدين فيه
+
+300
+00:22:48,060 --> 00:22:51,820
+يعني هم جاعدين بهذا الترتيب، وأنا مريت عليهم الأول
+
+301
+00:22:51,820 --> 00:22:54,020
+ثم اللي بعد، ثم اللي بعد، ثم اللي بعد، هذا sequential
+
+302
+00:22:54,020 --> 00:22:57,360
+إنما إذا أنا والله روحت من هذا، بعدين روحت على هذا
+
+303
+00:22:57,360 --> 00:23:01,200
+بعدين روحت على هذا، هذا اسمه إيش؟ مش sequential، صح؟
+
+304
+00:23:01,200 --> 00:23:06,050
+وممكن يكون binary، إيش يعني binary؟ عشان يكون binary
+
+305
+00:23:06,050 --> 00:23:09,970
+لازم نفس الـ data تكون أصلاً مهيكلة binary، إيش يعني
+
+306
+00:23:09,970 --> 00:23:14,290
+مهيكلة binary، يعني في عندي binary tree، إيش يعني
+
+307
+00:23:14,290 --> 00:23:19,090
+binary tree، يعني tree كل node لها maximum two
+
+308
+00:23:19,090 --> 00:23:25,310
+children، صح؟ maximum ولا exactly؟ ما أقدرش ألتزم بـ
+
+309
+00:23:25,310 --> 00:23:28,750
+exactly، لأن أفرض آخر واحدة ما فيش عندي إلا child
+
+310
+00:23:28,750 --> 00:23:32,370
+واحد، من وين أجيب لها الثاني؟ فهي maximum two، صح؟
+
+311
+00:23:34,260 --> 00:23:37,920
+maximum two، فالآن الـ binary tree إذا كنا
+
+312
+00:23:37,920 --> 00:23:41,080
+مهيكلين الـ binary، يعني نقول مثلاً الـ 120 جاي هنا، و
+
+313
+00:23:41,080 --> 00:23:47,980
+هذه الـ 70، وهذه الـ 88، وهذه الـ 60، وهذه الـ 105، و
+
+314
+00:23:47,980 --> 00:23:52,980
+هذه هنا الـ 88 الأخرى، تمام، وأنا بقعد أدور، بأطلع
+
+315
+00:23:52,980 --> 00:23:57,740
+على هذا، ثم من الطبيعي إذا أنا مثلاً بدور على 103
+
+316
+00:23:57,740 --> 00:24:04,840
+هذا مش هو، طيب، أبدأ في الـ children، يبقى أنا أول
+
+317
+00:24:04,840 --> 00:24:08,340
+ما رحت، رحت على الـ 120، لكن بعد هي كده، رحت على الـ 70
+
+318
+00:24:08,340 --> 00:24:12,160
+احنا خدنا هو من نفس الترتيب بتاع السلسلة، بدي أحط
+
+319
+00:24:12,160 --> 00:24:17,060
+الـ 105 هنا، ماشي؟ أحط الـ 105 هنا، وبعدين بدي أحط الـ
+
+320
+00:24:17,060 --> 00:24:21,580
+88 هذا هنا، صح؟ فأنا إذا بدي أمشي على الـ tree، بأمشي
+
+321
+00:24:21,580 --> 00:24:25,340
+هيك، بعدين هيك، بعدين هيك، صح؟ فأنا مشيت بترتيب مش
+
+322
+00:24:25,340 --> 00:24:29,540
+مطابق للترتيب الأصلي تبعهم، في الـ lesson، هذا الـ
+
+323
+00:24:29,540 --> 00:24:32,920
+binary tree اللي أمامي ما بتفيدنيش كتير في عملية الـ
+
+324
+00:24:32,920 --> 00:24:36,160
+search فقط، واكتشف بتفيدني لما تبقى binary search
+
+325
+00:24:36,160 --> 00:24:40,420
+tree، شو يعني binary search tree؟ يعني هم نفسهم لما
+
+326
+00:24:40,420 --> 00:24:45,640
+دخلوا على الـ tree، دخلوا بنظام محدد، اللي هو أن الـ
+
+327
+00:24:45,640 --> 00:24:49,360
+left child يبقى أصغر من الـ parent، والـ right child
+
+328
+00:24:49,360 --> 00:24:52,450
+يبقى أكبر من الـ parent، عارفين هو هذا النظام؟ هذا
+
+329
+00:24:52,450 --> 00:24:56,070
+اسمها binary search tree، أما من غير هي كان اسمها
+
+330
+00:24:56,070 --> 00:24:59,870
+binary tree فقط، binary search tree هي اللي أصلاً
+
+331
+00:24:59,870 --> 00:25:02,850
+لما احنا دخلنا العناصر على الـ tree، دخلنا وهم
+
+332
+00:25:02,850 --> 00:25:08,590
+ملتزمين بهذا الـ rule، ولو جيت وجيت أن الـ tree
+
+333
+00:25:08,590 --> 00:25:11,910
+ما بتسمحش، بدي أعد الـ tree، عمل shuffling للـ tree
+
+334
+00:25:11,910 --> 00:25:16,310
+عشان يظلوا العناصر مرتبة فيها بهذا الـ rule، وجدت
+
+335
+00:25:16,310 --> 00:25:19,650
+إذا هم مرتبين binary search tree، معناه أنك عملت الـ
+
+336
+00:25:19,650 --> 00:25:25,080
+search أسرع بكثير، ليش؟ أنه أنا معايا الـ 103
+
+337
+00:25:25,080 --> 00:25:28,460
+بتطلع هنا 120، يبقى أبدأ أروح يمين، لأن اليمين هو
+
+338
+00:25:28,460 --> 00:25:33,000
+اللي أكثر، صح؟ لأ، أنا بدي الشمال، لأن الـ 103 أصغر من
+
+339
+00:25:33,000 --> 00:25:36,300
+العنصر هذا، بدي أروح الشمال، اللي جيت هنا الـ 70، يبقى
+
+340
+00:25:36,300 --> 00:25:41,560
+ما فيش، خلاص، صح؟ لأن العنصر اللي أنا أبحث عنه أصغر
+
+341
+00:25:41,560 --> 00:25:45,140
+من الـ parent، وأكبر من الـ left child، يبقى مش موجود
+
+342
+00:25:45,140 --> 00:25:49,540
+في اللي هنا، طيب، الـ sequential or binary session
+
+343
+00:25:49,540 --> 00:25:52,460
+algorithms، السؤال عن الـ string processing، هي الـ
+
+344
+00:25:52,460 --> 00:25:55,100
+...ال...الـ problem، احنا بنحكي عن الـ problem types
+
+345
+00:25:55,100 --> 00:25:58,940
+هي الـ problems اللي بتتعلق بـ processing الـ strings
+
+346
+00:25:58,940 --> 00:26:02,760
+أكتر نوع من عملية...أكتر نوع من عمليات الـ string
+
+347
+00:26:02,760 --> 00:26:06,120
+processing شيوعاً هي الـ string matching، ماشي؟
+
+348
+00:26:06,120 --> 00:26:09,500
+string matching، إيش فيه غير هي؟ ممكن نسميه string
+
+349
+00:26:09,500 --> 00:26:11,500
+processing؟ إيش هو الـ matching؟ الـ matching اللي
+
+350
+00:26:11,500 --> 00:26:17,050
+هو مطابقة، أنه والله يقول مثلاً، عندي paragraph، وبدي
+
+351
+00:26:17,050 --> 00:26:20,930
+أدور على كلمة algorithm، هل موجودة في...فأنا بعمل
+
+352
+00:26:20,930 --> 00:26:25,650
+matching، حرف...كل أحرف كلمة algorithm مع أحرف
+
+353
+00:26:25,650 --> 00:26:28,670
+اللي في الـ paragraph، لما ألاقي مطابقة ما بين هذا
+
+354
+00:26:28,670 --> 00:26:32,250
+الـ string مع أي substring في الـ paragraph، هو
+
+355
+00:26:32,250 --> 00:26:36,130
+string كبير، والـ algorithm ده اللي يطابق واحد من...
+
+356
+00:26:36,130 --> 00:26:39,530
+substring منه، فإذا جيت مطابقة ما بين الـ string
+
+357
+00:26:39,530 --> 00:26:42,710
+اللي هو الـ algorithm، كلمة algorithm كـ string، طابقة
+
+358
+00:26:42,710 --> 00:26:47,520
+جزء من الـ paragraph، فده matching، الـ String
+
+359
+00:26:47,520 --> 00:26:50,420
+Processing بيشمل حاجات أخرى، زي مثلاً Concatenation
+
+360
+00:26:50,420 --> 00:26:54,940
+أني ألحم two strings مع بعض، أني أقص string، هذا الـ
+
+361
+00:26:54,940 --> 00:27:02,420
+String Processing بس مش محتاجة يعني algorithm يعني
+
+362
+00:27:02,420 --> 00:27:06,500
+مستهل نتعب عليها كتير، يعني بنعمل Concatenation بين
+
+363
+00:27:06,500 --> 00:27:10,860
+two strings، هم أصلاً داخليني كـ array، مظبوط، بروح بعمل
+
+364
+00:27:10,860 --> 00:27:16,270
+array كبيرة بطول مجموع أطولهم، وبحط النص الأول يعني
+
+365
+00:27:16,270 --> 00:27:19,170
+في...في الأول، وال...وال...وال...والـ string
+
+366
+00:27:19,170 --> 00:27:22,190
+الثاني في الثاني، مش جدية محتاجة، إنما جدية الـ
+
+367
+00:27:22,190 --> 00:27:27,750
+matching بدها...بدها effort أكثر، عموماً، فـ الـ
+
+368
+00:27:27,750 --> 00:27:31,650
+string processing هذا فئة من فئات الـ problems اللي
+
+369
+00:27:31,650 --> 00:27:34,930
+شايع أنه ينعمل لها algorithm، هذا الـ graph problems
+
+370
+00:27:34,930 --> 00:27:41,110
+اللي هي زي هذه اليسة، أنه بيكون العناصر مرتبطة مع
+
+371
+00:27:41,110 --> 00:27:45,330
+بعض على شكل graph، كل عنصر node في هذا هو عبارة عن
+
+372
+00:27:45,330 --> 00:27:48,730
+node في هذا الـ graph، أشهر مثال على الـ graph
+
+373
+00:27:48,730 --> 00:27:52,350
+problems اللي هو الـ traveling salesman problem، والـ
+
+374
+00:27:52,350 --> 00:27:54,770
+graph coloring problem، الـ traveling salesman
+
+375
+00:27:54,770 --> 00:27:59,130
+problem، عارفينها، اللي هي هذه، ذكرتها مرت عليكم
+
+376
+00:27:59,130 --> 00:28:03,670
+اللي هو salesman، يعني إيه salesman؟ اللي هو الرجل
+
+377
+00:28:03,670 --> 00:28:07,690
+المبيعات، يعني اللي بدي يلف، قولي مثلاً مبيعات صيدلية
+
+378
+00:28:08,220 --> 00:28:13,460
+بدي يلف على عدة مدن، يروح يوزع على الصيدلية اللي
+
+379
+00:28:13,460 --> 00:28:20,840
+فيها، فهو عنده المدن من
+
+380
+00:28:20,840 --> 00:28:26,520
+مدينة كذا، ممكن يطلع على كذا أو كذا، بقولي أن عبّر
+
+381
+00:28:26,520 --> 00:28:32,240
+عنها كانت هذه مدينة A مثلاً، ممكن يوصلوا لـ B و لـ C
+
+382
+00:28:32,240 --> 00:28:36,820
+الآن هو في مدينة أخرى D، بس ما يقدرش أروح عليها مباشرة
+
+383
+00:28:36,820 --> 00:28:40,240
+لكن ممكن أروح عليها عن طريق C، أو ممكن أروح عليها
+
+384
+00:28:40,240 --> 00:28:44,120
+عن طريق D، تمام، كذلك الحالة في مدينة أخرى E، مدينة
+
+385
+00:28:44,120 --> 00:28:49,860
+ثالثة F، وغير هيك، فاحنا بنعمل graph يعبر عن خريطة
+
+386
+00:28:49,860 --> 00:28:54,220
+المدن هذه، أنه إيش المدن اللي موجودة، بـ C، وإيش في
+
+387
+00:28:54,220 --> 00:28:59,260
+طرق ما بين هذه المدن، كل طريق الآن فيه تكلفة، تكلفة
+
+388
+00:28:59,260 --> 00:29:02,360
+قد تكون المسافة بالكيلومتر، هي التكلفة، قد تكون
+
+389
+00:29:02,360 --> 00:29:06,300
+إيجار، إذا هو بدي يدفع أجارات للسواقين، قد يكون
+
+390
+00:29:06,300 --> 00:29:10,380
+البنزين، جداش بيصرف بنزين لو هو بدي يروح بسيارته
+
+391
+
+445
+00:33:28,370 --> 00:33:31,710
+تمامًا، الـ shortest path أنه أنا فيها مدينة محددة
+
+446
+00:33:31,710 --> 00:33:36,610
+أنا بدي أروح على الـ goods وفي أكثر من طريقة تؤدي
+
+447
+00:33:36,610 --> 00:33:39,330
+إلى الـ goods، بدي الطريق الأقصر إلى الـ goods، وهذا
+
+448
+00:33:39,330 --> 00:33:43,130
+برضه shortest path، صح؟ فالـ shortest path ممكن تبقى
+
+449
+00:33:43,130 --> 00:33:48,510
+هدف محدد واحد بدي أصله، ولكن في عندي عدة أهداف أو قد
+
+450
+00:33:48,510 --> 00:33:52,930
+يكون في عندي multiple أهداف متعددة، بدي الهدف اللي
+
+451
+00:33:52,930 --> 00:33:56,990
+أقرب، هذا برضه shortest path، الآن إيش علاقة
+
+452
+00:33:56,990 --> 00:33:59,690
+shortest path بمثال الـ combinatorial الـ
+
+453
+00:33:59,690 --> 00:34:02,630
+combinatorial هي أن أنا أصلاً الـ path الـ algorithm
+
+454
+00:34:02,630 --> 00:34:05,710
+مش بتطلع لي الـ path، shortest path، إيش هو shortest
+
+455
+00:34:05,710 --> 00:34:10,800
+path؟ هو سلسلة المدن اللي بدأوا، مرّوني فيها، فإنا عندي
+
+456
+00:34:10,800 --> 00:34:15,660
+مجموعة كبيرة من المدن، خمسين مدينة، الـ algorithm
+
+457
+00:34:15,660 --> 00:34:20,880
+بتعطيني واحد، اثنين، ثلاثة، أربعة اللي بيشكّلوا مسار
+
+458
+00:34:20,880 --> 00:34:25,900
+هذا المسار، أكثر، إيش قلت أنا تعريف الـ combinatorial
+
+459
+00:34:25,900 --> 00:34:30,380
+problems؟ أن هي عبارة عن problems بنعطيها مجموعة، و
+
+460
+00:34:30,380 --> 00:34:34,460
+بتطلع لي مجموعة فرعية تتصف بصفة معينة، إيش الصفة
+
+461
+00:34:34,460 --> 00:34:37,300
+المعينة اللي هنا؟ أن هذه المجموعة الفرعية
+
+462
+00:34:40,040 --> 00:34:47,020
+بتشكّل مسار... المسار هذا أقصر مسار من البداية إلى
+
+463
+00:34:47,020 --> 00:34:52,200
+... من نقطة البداية إلى نقطة النهاية، تمامًا، الآن الـ
+
+464
+00:34:52,200 --> 00:34:56,200
+Geometric Problems... Geometric، مع أن في حاجة من
+
+465
+00:34:56,200 --> 00:34:59,200
+نوع... يعني بتقدر تقول مساحة أو جغرافيا في
+
+466
+00:34:59,200 --> 00:35:03,560
+الموضوع، زي مثلًا لما إحنا بنحكي عن صور أو عن خرائط
+
+467
+00:35:03,560 --> 00:35:07,060
+أو عن رسوم... رسم بياني
+
+468
+00:35:17,810 --> 00:35:21,210
+النقاط هذه بتعبّر عن علاقة ما بين متغيرات، يعني هذه
+
+469
+00:35:21,210 --> 00:35:26,190
+النقطة هي عبارة عن متغير في الـ C، في الـ X، يتقاطع مع
+
+470
+00:35:26,190 --> 00:35:29,610
+متغير في الـ Y، ماشي؟ أنا الآن هنا ممكن يكون عندي
+
+471
+00:35:29,610 --> 00:35:33,390
+الـ problem أنه أنا بدي أقرب نقطتين على بعض،
+
+472
+00:35:35,990 --> 00:35:39,450
+بدي بين هذه النقطة وهذه النقطة، وهذه النقطة وهذه
+
+473
+00:35:39,450 --> 00:35:44,170
+النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة، و
+
+474
+00:35:44,170 --> 00:35:48,830
+هذه النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة،
+
+475
+00:35:48,830 --> 00:35:49,530
+و هذه النقطة، وهذه النقطة، وهذه النقطة، وهذه
+
+476
+00:35:49,530 --> 00:35:49,630
+النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة،
+
+477
+00:35:49,630 --> 00:35:49,670
+وهذه النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة،
+
+478
+00:35:49,670 --> 00:35:49,950
+النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة، و
+
+479
+00:35:49,950 --> 00:35:50,050
+هذه النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة،
+
+480
+00:35:50,050 --> 00:35:50,750
+و هذه النقطة، وهذه النقطة، وهذه النقطة، وهذه
+
+481
+00:35:50,750 --> 00:35:52,230
+النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة، و
+
+482
+00:35:52,230 --> 00:35:56,390
+هذه النقطة، وهذه النقطة، وهذه النقطة، وهذه النقطة،
+
+483
+00:35:56,390 --> 00:35:58,390
+و...
+
+484
+00:36:02,360 --> 00:36:06,540
+على شكل curve معيّن، بدي الـ curve هذا، نسميه convex
+
+485
+00:36:06,540 --> 00:36:14,680
+hull، بدي الـ curve هذا اللي بيمرّ في وسط هذه النقاط
+
+486
+00:36:14,680 --> 00:36:21,640
+فالـ algorithm اللي بدّه تحسب هذا الـ curve أو هذا الـ
+
+487
+00:36:21,640 --> 00:36:25,060
+problem، عبارة عن geometric problem، وبدنا نفكّر فيه
+
+488
+00:36:25,060 --> 00:36:33,660
+algorithm اللي بتعالج هذا المثال، تمامًا؟ آخر نوع اللي
+
+489
+00:36:33,660 --> 00:36:40,820
+هو numerical problems، اللي هي المعطيات كلها أرقام،
+
+490
+00:36:40,820 --> 00:36:45,120
+يعني بدها تعمل عملية حسابية، عملية حسابية زي
+
+491
+00:36:45,120 --> 00:36:48,400
+حكايتي اللي هو الـ route أو الجذر، لما ضربت مثال
+
+492
+00:36:48,400 --> 00:36:51,160
+أنا الأربعة والأربعة ونص، هذا numerical problem، و
+
+493
+00:36:51,160 --> 00:36:54,040
+لأ، لأ، أنا بعطيها input عبارة عن رقم، وبدي الـ
+
+494
+00:36:54,040 --> 00:36:59,840
+algorithm تحسب لي الجذر تبعه، جذر التربيعي، كذلك الحال
+
+495
+00:36:59,840 --> 00:37:04,060
+برضه المثال الثاني اللي ضربته، اللي هو الـ integral،
+
+496
+00:37:04,060 --> 00:37:06,400
+لما أن أنا يكون في عندي function، و الـ function
+
+497
+00:37:06,400 --> 00:37:13,760
+الكيف تبعها، وبدي أنا مساحة على interval معيّن، بدي
+
+498
+00:37:13,760 --> 00:37:19,100
+الـ integral، فهذا numerical problem، okay، numerical
+
+499
+00:37:19,100 --> 00:37:25,200
+problem، لأنّ أنا بعطيها معادلة، وبعطيها range،
+
+500
+00:37:25,890 --> 00:37:28,930
+وبقول لها: حسبي لي الـ integral تبع هذه المعادلة في الـ
+
+501
+00:37:28,930 --> 00:37:33,130
+range هذا، هذا النوع من الـ problems، زي ما قلنا إحنا
+
+502
+00:37:33,130 --> 00:37:35,530
+أصلًا ليش طرحناها؟ طرحناها كمثال على الـ
+
+503
+00:37:35,530 --> 00:37:38,710
+approximation، ولا لأ؟ كمثال على التمييز ما بين الـ
+
+504
+00:37:38,710 --> 00:37:43,570
+exact والـ approximate solutions، فهي صفة غالبة في
+
+505
+00:37:43,570 --> 00:37:48,530
+الـ numerical problems، أنّه عادة ما إحنا بنكتفي بالـ
+
+506
+00:37:48,530 --> 00:37:52,290
+approximation، لأن الـ exact ممكن يأخذ ما لا نهاية من زمن،
+
+507
+00:37:52,290 --> 00:37:56,710
+الـ algorithm بتأخذ ما لا نهاية، إنّها تلاقي الـ exact، و
+
+508
+00:37:56,710 --> 00:37:58,890
+الـ applications تمامًا، هو في الـ scientific وفي الـ
+
+509
+00:37:58,890 --> 00:38:02,410
+engineering applications، تمامًا، إحنا هيك خلّصنا عندنا
+
+510
+00:38:02,410 --> 00:38:06,010
+أي سؤال؟ خلّصنا إحنا اللي هو الحكي عن اللي هو الـ
+
+511
+00:38:06,010 --> 00:38:09,430
+problem types، أنواع المسائل اللي إحنا بنعملها...
+
+512
+00:38:09,430 --> 00:38:12,670
+بنحتاج نعملها... هذه أشهر أنواع، في أنواع كثيرة
+
+513
+00:38:12,670 --> 00:38:17,150
+طبعًا في domains متخصّصة، okay
+
+514
+00:38:19,470 --> 00:38:22,550
+في حدّ عنده سؤال؟ الآن إحنا اللي إحنا بنقوله ملاحظة
+
+515
+00:38:22,550 --> 00:38:28,170
+أخيرة لهذه الـ problem types، أنّه في كثير منها يعني
+
+516
+00:38:28,170 --> 00:38:31,290
+في الـ sorting ولا في الـ searching، هتلاقي مش عشرات
+
+517
+00:38:31,290 --> 00:38:34,570
+ولا مئات، ربما عشرات المئات، ما نيش هأقول الآلاف،
+
+518
+00:38:34,570 --> 00:38:38,010
+عشرات المئات من الـ algorithms في كل واحد من الـ
+
+519
+00:38:38,010 --> 00:38:41,450
+types هذه، كثير sorting algorithms، كثير searching
+
+520
+00:38:41,450 --> 00:38:47,470
+algorithms، تمامًا؟ الآن هل إحنا بنقدر نقول إنّه كثير
+
+521
+00:38:47,470 --> 00:38:53,010
+خلاص is enough، يعني ما في داعي، أولًا، أولًا مسألة إنّ
+
+522
+00:38:53,010 --> 00:38:59,370
+كثير هذه بدها بحث، يعني بدنا نتأكّد إنّه فعلاً فعلاً في
+
+523
+00:38:59,370 --> 00:39:06,610
+كثير algorithm، يعني لم نصل... يعني... يعني... وصلنا
+
+524
+00:39:06,610 --> 00:39:09,530
+لتشابه تقريباً في هذه الـ problem types، ولا لأ؟
+
+525
+00:39:10,480 --> 00:39:15,240
+ثانيًا، هل هناك ما يستدعي أن الواحد يفكّر في أنّه
+
+526
+00:39:15,240 --> 00:39:20,520
+يضع algorithm جديدة في أي واحد من هذه المجالات؟ و
+
+527
+00:39:20,520 --> 00:39:26,720
+لا... ولا خلاص، يعني، يستنفذ المجال؟ فهذا السؤال،
+
+528
+00:39:26,720 --> 00:39:32,200
+اللي هو، هل... خلّيني أُصحّحه سؤال واحد، هل اتشبّعت
+
+529
+00:39:32,200 --> 00:39:37,340
+هذه المجالات، these problem types، اتشبّعت بعدد
+
+530
+00:39:37,340 --> 00:39:42,210
+هائل من الـ algorithms اللي already انحطّت؟ فيها، و
+
+531
+00:39:42,210 --> 00:39:47,890
+لا زال المجال مفتوح، إجابة على هذا السؤال، تجدّ هذا
+
+532
+00:39:47,890 --> 00:39:50,930
+الـ section من الكتاب، تشوف المؤلف ما هو رأيه في
+
+533
+00:39:50,930 --> 00:39:55,630
+الموضوع، هل أصلًا له رأي، وأنا ما لوش، يمكن ما فكّر في
+
+534
+00:39:55,630 --> 00:40:01,560
+الأمر هذا، إذا له رأي، هل... إيش رأيه؟ هل أنّه يعتبر
+
+535
+00:40:01,560 --> 00:40:06,000
+أنّه أغلق، ولا لا زال... أكيد أكيد، يعني إذا هو حاكي
+
+536
+00:40:06,000 --> 00:40:09,800
+في الموضوع هذا، هيكون رأيه أنّه لأ، لأ، كيف هو طبعًا
+
+537
+00:40:09,800 --> 00:40:13,600
+أنت مؤلّف كتاب في المجال هذا، وبتقول للناس أن
+
+538
+00:40:13,600 --> 00:40:18,860
+الحكاية خلصت، مش معقول، ولا لأ؟ طيب فأنا بطلب منكم
+
+539
+00:40:18,860 --> 00:40:22,280
+الإجابة على هذا السؤال، إيش رأي المؤلف في النقطة
+
+540
+00:40:22,280 --> 00:40:29,760
+هذه؟ هل تشبّعت هذه المجالات بـ Algorithms ولا لسه، و
+
+541
+00:40:29,760 --> 00:40:38,780
+إذا لم تتشبع، لم تتشبع، لم تتشبع، لم تتشبع، لم تتشبع،
+
+542
+00:40:38,780 --> 00:40:45,800
+لم تتشبع، لم تتشبع، لم تتشبع، لم تتشبع، لم تتشبع، لم
+
+543
+00:40:45,800 --> 00:40:47,270
+تتشبع، لم تتشبع، لم تتشبع، لم تتشبع، أسباب أو سببات
+
+544
+00:40:47,270 --> 00:40:52,250
+تستدعي أن الأمر لا زال نبحث أو نصمّم Algorithms
+
+545
+00:40:52,250 --> 00:40:56,770
+جديدة، إضافة إلى ذلك أن هذا الـ section صار مطلوب
+
+546
+00:40:56,770 --> 00:40:59,430
+منكم الإجابة على هذا السؤال، زائد أنّه فيه هنا
+
+547
+00:40:59,430 --> 00:41:07,210
+exercise رقم واحد في section 1.3، برضه تحاولوا
+
+548
+00:41:07,210 --> 00:41:11,290
+تحلوه، عمومًا، بيظل أن هذا الـ section الـ 1.4 اللي هو
+
+549
+00:41:11,290 --> 00:41:16,130
+أصلًا مش داخل في الخطة تبعتكم، بس ضروري هذا section
+
+550
+00:41:16,130 --> 00:41:21,650
+تتطلعوا عليه، لأن هو بمثابة مراجعة ممتازة للكلام
+
+551
+00:41:21,650 --> 00:41:24,350
+اللي أنتم مرّيتوا عليه قبل هيك في الـ data
+
+552
+00:41:24,350 --> 00:41:27,630
+structures، بيحكي عن الـ linear data structures اللي
+
+553
+00:41:27,630 --> 00:41:29,490
+هي الـ lists والـ arrays والـ strings والـ linked
+
+554
+00:41:29,490 --> 00:41:32,870
+lists، وبيحكي عن الـ non-linear اللي هي زي الـ graph
+
+555
+00:41:33,450 --> 00:41:39,770
+والـ tree والـ dictionary، الـ linear بيجسمها إلى data
+
+556
+00:41:39,770 --> 00:41:41,790
+structures، و abstract data structures، abstract
+
+557
+00:41:41,790 --> 00:41:46,470
+data structures اللي مرتبطة بها operations معيّنة،
+
+558
+00:41:46,470 --> 00:41:50,210
+يعني مثلًا الـ stack مرتبطة بها الـ pop والـ push،
+
+559
+00:41:50,210 --> 00:41:55,250
+مظبوط، الـ queue مرتبطة بـ enqueue و dequeue، enqueue
+
+560
+00:41:55,250 --> 00:42:00,330
+يعني بنضيف على الـ queue، و dequeue، فالـ data
+
+561
+00:42:00,330 --> 00:42:03,650
+structures المرتبطة بها operations كانت جزء من تعريف
+
+562
+00:42:03,650 --> 00:42:06,490
+الـ Data Structure نفسها، يعني أنا ما بقدر أقول
+
+563
+00:42:06,490 --> 00:42:12,010
+stack على إن هي بس مجرد صفّ من العناصر، لأ، لازم
+
+564
+00:42:12,010 --> 00:42:17,210
+أقول إنّه يتم إضافة عناصر جديدة على رأس الصفّ، وحذف
+
+565
+00:42:17,210 --> 00:42:21,630
+من رأسها، صح؟ فهذه العمليات جزء من تعريف الـ stack،
+
+566
+00:42:21,630 --> 00:42:24,890
+okay، بينما هنا الـ list والـ array والـ string، لأ،
+
+567
+00:42:24,890 --> 00:42:28,370
+هي بس لما بنعرفها، بنعرفها بأنها مجموعة من العناصر
+
+568
+00:42:28,370 --> 00:42:32,890
+متصلة بالكيفية الفلانية، ما بتجيب سيرة كيف تتم
+
+569
+00:42:32,890 --> 00:42:36,270
+عملية الحذف والإضافة والأمور هذه، فهي التمييز ما
+
+570
+00:42:36,270 --> 00:42:38,810
+بين abstract data structure وما بين data
+
+571
+00:42:38,810 --> 00:42:42,510
+structure، الاثنين هدول linear، صح ولا لأ؟ الاثنين
+
+572
+00:42:42,510 --> 00:42:45,010
+هدول linear، وهدول اللي هو non-linear اللي هي الـ
+
+573
+00:42:45,010 --> 00:42:48,930
+graph والـ tree والـ dictionary، الـ section هذا 1.4
+
+574
+00:42:48,930 --> 00:42:55,650
+مرة أخرى ممتاز جدًّا كمراجعة لأمور... بتعرفوها أو...
+
+575
+00:42:55,650 --> 00:42:59,870
+لسه جديدة عليكم أو بتعرفوها بس نسيّتوها، ماشي الحال؟
+
+576
+00:42:59,870 --> 00:43:02,850
+المحاضرة اللي جاية إن شاء الله بنبدأ في اللي هو
+
+577
+00:43:02,850 --> 00:43:09,630
+chapter 2 اللي هو أساسيات الـ algorithm design و
+
+578
+00:43:09,630 --> 00:43:12,790
+analysis، نتعرف على الـ notations، الـ big O notation،
+
+579
+00:43:12,790 --> 00:43:18,770
+والكلام هذا، وكيف إحنا بنعمل تقدير لـ الـ
+
+580
+00:43:18,770 --> 00:43:21,950
+performance تبع الـ algorithm، ماشي؟ أعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/o5QuftAQrz4.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/o5QuftAQrz4.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f92a9272f83109fe4b0226b06b8886b79a51f64f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/o5QuftAQrz4.srt
@@ -0,0 +1,1490 @@
+
+1
+00:00:21,040 --> 00:00:23,360
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,360 --> 00:00:26,920
+المرسلين، اليوم إن شاء الله بدنا نكمل في الـ example
+
+3
+00:00:26,920 --> 00:00:30,460
+رقم تلاتة، بس على السريع بدي أراجع معاكم الـ example
+
+4
+00:00:30,460 --> 00:00:35,530
+رقم اتنين اللي كنا في المحاضرة الماضية، الـ example
+
+5
+00:00:35,530 --> 00:00:40,250
+هذا كان اللي هو مسألة Tower of Hanoi اللي هي بنحلها
+
+6
+00:00:40,250 --> 00:00:45,810
+عدد N من الأقراس من عمود إلى عمود آخر بواسطة عمود
+
+7
+00:00:45,810 --> 00:00:52,730
+ثالث وسيط، كانت صياغة الـ .. يعني في الآخر في نهاية
+
+8
+00:00:52,730 --> 00:00:56,130
+الأمر، الـ basic operation اللي بتتم في هذه المسألة
+
+9
+00:00:56,130 --> 00:01:02,770
+هي نقل الـ disk من مكان إلى مكان، فالـ .. الـ
+
+10
+00:01:02,770 --> 00:01:05,910
+execution time تبع الـ algorithm بعتمد على عدد مرات
+
+11
+00:01:05,910 --> 00:01:11,250
+النقل اللي تم، فعدد مرات النقل تم صياغته بهذا
+
+12
+00:01:11,250 --> 00:01:17,430
+الشكل، إنه نقل الـ disks كلها من العمود الأصلي إلى
+
+13
+00:01:17,430 --> 00:01:22,990
+العمود الهدف، يعني يساوي أول أشياء بدنا ننقلها
+
+14
+00:01:22,990 --> 00:01:29,360
+ناقص واحد كلها إلى الأخير على العمود الوسيط، بعدين
+
+15
+00:01:29,360 --> 00:01:33,080
+بنحلها الـ disk الأخير اللي تركناه، هذا بنحله على
+
+16
+00:01:33,080 --> 00:01:40,410
+العمود النهائي، بعدين بنروح وبنحرك الديسكات من
+
+17
+00:01:40,410 --> 00:01:45,050
+العمود الوسيط إلى العمود النهائي، فهذا يبقى أصبحت
+
+18
+00:01:45,050 --> 00:01:48,230
+الصيغة أن M of N بيساوي M of N ناقص واحد، M هنا
+
+19
+00:01:48,230 --> 00:01:52,830
+اختصار لعدد مرات الـ moves، عدد الـ moves اللي بتتم
+
+20
+00:01:52,830 --> 00:01:58,470
+بيساوي M ناقص واحد moves زائد M ناقص واحد moves زائد
+
+21
+00:01:58,470 --> 00:02:05,330
+واحد، طبعا الديسكات لازم تكون عددها N greater than one
+
+22
+00:02:05,330 --> 00:02:13,050
+لأن هذا الكلام recurrence relation تنتهي
+
+23
+00:02:13,050 --> 00:02:16,110
+عندما يكون عدد الديسكات واحد، عدد الديسكات واحد
+
+24
+00:02:16,110 --> 00:02:23,050
+بتكون one move، موف واحدة، احنا باستخدام الـ backward
+
+25
+00:02:25,330 --> 00:02:33,290
+substitution أو replacement، بدنا أو فعليا حللنا أو
+
+26
+00:02:33,290 --> 00:02:38,150
+حلينا هذا الـ relation من الصيغة هذه إلى exact
+
+27
+00:02:38,150 --> 00:02:42,310
+value في الآخر، أو exact function اللي تقول لي أن M
+
+28
+00:02:42,310 --> 00:02:47,910
+of N بتساوي قد ايش بالظبط، بدل ما هي M of N معرفة على
+
+29
+00:02:47,910 --> 00:02:52,110
+أساس اللي قبلها، وهذا طلع معانا
+
+30
+00:02:57,680 --> 00:03:01,720
+باستخدام الـ substitution، طلعت معنا الـ pattern
+
+31
+00:03:01,720 --> 00:03:16,440
+النهائي، هذا الجزء
+
+32
+00:03:16,440 --> 00:03:19,880
+الآن هيك، وعبارة عن متتالية، متتالية حسابية و
+
+33
+00:03:19,880 --> 00:03:25,610
+متتالية عددية، الـ solution تبع هذه المجموعة
+
+34
+00:03:25,610 --> 00:03:30,470
+النهائية لهذه الحدود هي 2 أس I ناقص واحد
+
+35
+00:03:30,470 --> 00:03:34,650
+يبقى
+
+36
+00:03:34,650 --> 00:03:41,610
+إذن الصيغة النهائية هي هذه، لأن ببساطة شديدة بنقول
+
+37
+00:03:41,610 --> 00:03:46,920
+أن ايش بنعرف عن الـ term هذا، الـ final الـ value الـ
+
+38
+00:03:46,920 --> 00:03:51,640
+exact تبعه، وقت ايش يكون الـ value تبعه محدد، نرجع
+
+39
+00:03:51,640 --> 00:03:55,580
+ثاني للصيغة اللي هو الـ recurrence، أنه لما يبقى M
+
+40
+00:03:55,580 --> 00:04:07,240
+of 1، هتكون القيمة one، فمتى هذا الكلام يكون one، لما
+
+41
+00:04:07,240 --> 00:04:12,720
+يكون I بيساوي N ناقص واحد، واجهتها نجم يقول N ناقص I
+
+42
+00:04:12,720 --> 00:04:14,700
+بتساوي N ناقص
+
+43
+00:04:17,260 --> 00:04:22,460
+N ناقص واحد، ويساوي N ناقص N زائد واحد، ويساوي واحد
+
+44
+00:04:22,460 --> 00:04:30,340
+صح، يبقى عند I بتساوي N ناقص واحد، بقدر أنا أستبدل
+
+45
+00:04:30,340 --> 00:04:37,720
+هذا بالـ value one، يصبح طبعا لازم أستبدل الـ I في كل
+
+46
+00:04:37,720 --> 00:04:41,600
+مكان، يصبح 2 أس
+
+47
+00:04:46,720 --> 00:04:53,440
+N ناقص واحد، مظبوط، M of هذا الكلام كله بيصير واحد
+
+48
+00:04:53,440 --> 00:04:59,560
+هذا الكلام كله واحد، خلاص بنشيله، بيجي بعدين 2 أس
+
+49
+00:04:59,560 --> 00:05:03,140
+I اللي هي 2 أس N ناقص واحد، وبيجي بعدها ناقص
+
+50
+00:05:03,140 --> 00:05:09,620
+واحد، هذا الكلام 2 أن أس N ناقص واحد
+
+51
+00:05:21,590 --> 00:05:27,670
+بالظبط هيك، خلاص
+
+52
+00:05:27,670 --> 00:05:33,390
+هذا هو الـ exact function اللي بتعبر عن الـ number
+
+53
+00:05:33,390 --> 00:05:40,810
+of moves على أساس input size، على أساس الـ input
+
+54
+00:05:40,810 --> 00:05:44,430
+بناء على الـ input، بقدر أقول لك الآن بالظبط هيكون
+
+55
+00:05:44,430 --> 00:05:50,380
+عدد الـ moves، أما هنا، أما في الصيغة هذه ما كنت بقدر
+
+56
+00:05:50,380 --> 00:05:53,060
+أنت تجيب لي تقول لي عدد مرات الـ moves بيساوي عدد مرات
+
+57
+00:05:53,060 --> 00:05:56,940
+الـ moves اللي قبلها زائد واحد، وهذا recursive
+
+58
+00:05:56,940 --> 00:05:59,960
+definition اللي هو يعني recurrence relation ما
+
+59
+00:05:59,960 --> 00:06:04,240
+بتعطيني إجابة محددة، حللناها عشان نصل إلى إجابة
+
+60
+00:06:04,240 --> 00:06:09,680
+محددة، هذه خلاص الآن هذه بقدر أصنفها، هذه الـ
+
+61
+00:06:09,680 --> 00:06:14,320
+function M of N بتساوي 2 أس N ناقص واحد، بقدر
+
+62
+00:06:14,320 --> 00:06:18,830
+أصنفها، إنها الـ complexity تبعتها Big O ولا Big
+
+63
+00:06:18,830 --> 00:06:23,710
+Theta ولا Big Omega، أولا لازم أقرر زي ما احنا
+
+64
+00:06:23,710 --> 00:06:28,050
+عارفين، أنه هل في worst case و best case ولا كله
+
+65
+00:06:28,050 --> 00:06:34,650
+ولا ما فيش، ولا كل الـ algorithm ما حتشتغل بنفس
+
+66
+00:06:34,650 --> 00:06:40,410
+السرعة على الـ input، ما فيش، يعني هنا في الـ
+
+67
+00:06:42,960 --> 00:06:46,560
+في الـ Tower of Hanoi Problem ما فيش أنه أنه والله
+
+68
+00:06:46,560 --> 00:06:49,860
+زي قلنا مثال قبل، هي كانوا يكون فيه array و بدنا
+
+69
+00:06:49,860 --> 00:06:53,640
+نعملها sorting أو بدنا نعمل فيها search، والأمر
+
+70
+00:06:53,640 --> 00:06:58,400
+بيعتمد، هل المرتبة هي مرتبة مسبقا ولا مش مرتبة، إذا مرتبة
+
+71
+00:06:58,400 --> 00:07:00,740
+يبقى هذا best case، مش مرتبة worst case، هنا ما فيش
+
+72
+00:07:00,740 --> 00:07:05,760
+الكلام هذا صح؟ يبقى هذه الـ function هي على الدوام
+
+73
+00:07:05,760 --> 00:07:12,820
+اللي بتعبر عن الـ execution time، يبقى على طول بقدر
+
+74
+00:07:12,820 --> 00:07:34,660
+أقول أن الـ M of N اللي هو هذا is a big Theta، أخذنا
+
+75
+00:07:34,660 --> 00:07:40,610
+الـ 2 to the power N وشيلنا الـ constant، هذه الـ N
+
+76
+00:07:40,610 --> 00:07:47,590
+هي عبارة عن G of N وهذه هي عبارة عن F of N، فالـ F
+
+77
+00:07:47,590 --> 00:07:50,610
+of N اللي هي الـ function بتعبر عن الـ الـ الـ الـ
+
+78
+00:07:50,610 --> 00:07:51,150
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+79
+00:07:51,150 --> 00:07:51,790
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+80
+00:07:51,790 --> 00:07:52,210
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+81
+00:07:52,210 --> 00:07:54,690
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+82
+00:07:54,690 --> 00:07:55,250
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+83
+00:07:55,250 --> 00:07:56,730
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+84
+00:07:56,730 --> 00:07:56,870
+الـ الـ الـ
+
+85
+00:08:03,710 --> 00:08:10,810
+مثل هذه المشكلة، المسائل التي يتوقعها الطالب عموما
+
+86
+00:08:10,810 --> 00:08:19,070
+هي أن يكون أمامك algorithm وينطلب منك هذا التصنيف
+
+87
+00:08:19,070 --> 00:08:25,210
+تبعها Big O أو Big Theta of ايش، عشان تصل إلى هذه
+
+88
+00:08:25,210 --> 00:08:29,670
+النقطة، بدك تمر بالعملية كلها، أول خطوة في العملية
+
+89
+00:08:29,670 --> 00:08:33,280
+أنك تفهم الـ algorithm، ولما ما فهمتش الـ algorithm مش
+
+90
+00:08:33,280 --> 00:08:39,080
+حتى تقدر تشتغل، ثاني شيء بتدرسه كويس الـ input كيف
+
+91
+00:08:39,080 --> 00:08:43,240
+شكله حيكون، و هل حيكون في حالات best case و worst
+
+92
+00:08:43,240 --> 00:08:47,300
+case، تمام، هنا واضح الـ input عبارة عن single value
+
+93
+00:08:47,300 --> 00:08:52,420
+بس يتراوح حجمه، بينما في بعض الـ algorithms
+
+94
+00:08:52,420 --> 00:08:56,670
+حقيقة ممكن يكون الـ input عبارة عن array، وبالتالي
+
+95
+00:08:56,670 --> 00:09:03,050
+سعة الـ array هي اللي بتتغير، بعد ما نحدد الـ
+
+96
+00:09:03,050 --> 00:09:09,390
+parameter اللي بعبر عن input size، بدنا نبدأ نشوف
+
+97
+00:09:09,390 --> 00:09:13,860
+هل هي الـ algorithm فيها recursion ولا ما فيهاش، صح
+
+98
+00:09:13,860 --> 00:09:17,620
+ولا لا؟ إذا .. إذا فيها .. إذا ما فيش فيها
+
+99
+00:09:17,620 --> 00:09:22,860
+recursion، بقدر أتبع الـ basic operation وأحقق بناء
+
+100
+00:09:22,860 --> 00:09:27,500
+على، إذا في loop ولا ما فيش loop، وأحسب أو أحط فيه
+
+101
+00:09:27,500 --> 00:09:32,380
+formula بتعبر عن عدد مرات تنفيذ هذه الـ loop، هذه الـ
+
+102
+00:09:32,380 --> 00:09:35,860
+.. أي نعم، إذا في recursion بدي أطلع على عدد
+
+103
+00:09:35,860 --> 00:09:39,060
+الاستدعاءات الـ recursion وايه الـ basic operation
+
+104
+00:09:39,060 --> 00:09:43,650
+اللي بتتم، يعني هنا الـ basic operation هي moving one
+
+105
+00:09:43,650 --> 00:09:47,170
+disk، في الـ factorial كانت الـ basic operation هي
+
+106
+00:09:47,170 --> 00:09:52,370
+عملية الضرب، نضرب الرقم بالنتج اللي قبله، فبتحدد الـ
+
+107
+00:09:52,370 --> 00:09:57,550
+basic operation، بيصير عندك أنت معني بحساب عدد
+
+108
+00:09:57,550 --> 00:10:01,330
+مرات استدعاء الـ recursive calls تبع الـ algorithm
+
+109
+00:10:01,330 --> 00:10:07,800
+okay، بنعبر عن هذا الأمر بـ recurrence relation، إن
+
+110
+00:10:07,800 --> 00:10:11,640
+عدد مرات استدعاء الـ Algorithm على input size N
+
+111
+00:10:11,640 --> 00:10:18,880
+بيساوي كذا على input size N ناقص واحد، زائد
+
+112
+00:10:18,880 --> 00:10:21,280
+.. مش عارف إذا كان فيه شيء برضه في الـ algorithm
+
+113
+00:10:21,280 --> 00:10:26,440
+يقول زائد واحد أو زائد اتنين، هذه الـ formula أجت من
+
+114
+00:10:26,440 --> 00:10:31,180
+خلال معرفتنا لـ كم مرة بتتحرك الديسكات، مظبوط؟
+
+115
+00:10:31,700 --> 00:10:35,500
+فبيصير الـ Recurrence Relationship، الـ Recurrence
+
+116
+00:10:35,500 --> 00:10:38,840
+Relationship لازم تشتمل على الـ Recurrence Formula
+
+117
+00:10:38,840 --> 00:10:41,960
+زائد أيضا كمان الـ Stopping Condition اللي هو متى
+
+118
+00:10:41,960 --> 00:10:46,120
+هذا الـ Recurrence بتوقف، بعد هيك بتبدأ تحليلها
+
+119
+00:10:46,120 --> 00:10:51,560
+باستخدام اللي هو الـ Backward Substitution، تصل إلى
+
+120
+00:10:51,560 --> 00:10:58,600
+الـ Exact Formula، وخلاص بعدها بتصنفها، المثال
+
+121
+00:10:58,600 --> 00:11:03,940
+اللي بعد هيك، آه قبل ما نطلع على المثال اللي بعد
+
+122
+00:11:03,940 --> 00:11:09,060
+example تلاتة، هذه الـ tree بتعبر عن الـ recursive
+
+123
+00:11:09,060 --> 00:11:14,360
+calls لـ Towers of Hanoi problem، أن أول call
+
+124
+00:11:14,360 --> 00:11:20,460
+بنستدعي الـ function بنعطيها N، هذا الاستدعاء بيترتب
+
+125
+00:11:20,460 --> 00:11:30,830
+عليه استدعاء N صح؟ M of N ناقص واحد، M of N ناقص واحد
+
+126
+00:11:30,830 --> 00:11:35,970
+المهم
+
+127
+00:11:35,970 --> 00:11:42,370
+أن الـ function بتستدعي نفسها مرتين، كل مرة على N أقل
+
+128
+00:11:42,370 --> 00:11:45,970
+مقدار واحد، هذه الآن برضه حتكرر العملية وتستدعي
+
+129
+00:11:45,970 --> 00:11:50,030
+نفسها مرتين على N ناقص اتنين، هيتكرر هذا الأمر هنا
+
+130
+00:11:50,030 --> 00:11:53,510
+الـ tree، كل node فيها عبارة عن call استدعاء
+
+131
+00:11:56,970 --> 00:12:01,810
+2، فهي binary tree، الـ binary tree هذه الـ depth تبع
+
+132
+00:12:01,810 --> 00:12:06,870
+عدد الـ levels يساوي N، لأننا نبدأ بـ N وكل level
+
+133
+00:12:06,870 --> 00:12:10,390
+بننقص من اللي بعده بمقدار واحد لحد ما نصل لـ one
+
+134
+00:12:10,390 --> 00:12:16,330
+one، هنا لما نستدعي الـ function على one ما فيش حاجة
+
+135
+00:12:16,330 --> 00:12:20,210
+نستدعيها، خلاص هترجع one وهذا هترجع one، هدول التانية
+
+136
+00:12:20,210 --> 00:12:26,620
+حينجمعوا، وينضاف عليهم الـ one، okay، فهنا ما فيش بعدها
+
+137
+00:12:26,620 --> 00:12:30,700
+كاستدعاءات، فعدد مرات، عدد الـ levels تبع هذه الـ tree
+
+138
+00:12:30,700 --> 00:12:36,300
+يساوي من 1 إلى N، يعني N levels، فببساطة احنا هذه
+
+139
+00:12:36,300 --> 00:12:39,020
+الكلام لما يكون في عندنا binary tree ومعروف عدد
+
+140
+00:12:39,020 --> 00:12:42,020
+الـ levels تبعها، والـ binary tree يعني الـ branching
+
+141
+00:12:42,020 --> 00:12:47,200
+تبعها 2، كل node بتتفرع منها 2، فبيبقى على طول
+
+142
+00:12:47,200 --> 00:12:53,990
+مباشرة عدد الـ nodes تبعت هذه الـ tree يساوي 2 to
+
+143
+00:12:53,990 --> 00:12:57,070
+the N ناقص واحد، اللي هو اللي وصلنا إليه احنا في
+
+144
+00:12:57,070 --> 00:13:01,190
+التحليل تبعنا، مظبوط، بس هذا الكلام أنا بقدر أعرفه
+
+145
+00:13:01,190 --> 00:13:05,190
+مسبقا، بمجرد أني ألاحظ أن الـ algorithm بتستخدم
+
+146
+00:13:05,190 --> 00:13:12,250
+نفسها مرتين، مرتين، فبقدر أحكم عليها أنها عدد مرات
+
+147
+00:13:12,250 --> 00:13:16,250
+الاستدعاء، عدد مرات الاستدعاء هذا هو عدد مرات الـ
+
+148
+00:13:16,250 --> 00:13:22,730
+moves، لأن في كل استدعاء فيه move في الآخر، هو 2 to
+
+149
+00:13:22,730 --> 00:13:27,030
+the N ناقص واحد، واحد
+
+150
+00:13:27,030 --> 00:13:30,150
+لأن هو عدد الـ levels، عدد المستويات، الآن المستوى
+
+151
+00:13:30,150 --> 00:13:34,010
+هذا فيه node واحدة، المستوى هذا فيه 2 nodes، المستوى
+
+152
+00:13:34,010 --> 00:13:39,140
+هذا فيه 4 nodes، مظبوط، okay، فبيصير عندي 1، 2،
+
+153
+00:13:39,140 --> 00:13:47,220
+4، بعد هيك 8، 16، ففي النهاية
+
+154
+00:13:47,220 --> 00:13:50,920
+الإجمالي عدد الـ nodes، عدد الـ nodes يعبر عن عدد
+
+155
+00:13:50,920 --> 00:13:56,860
+الاستدعاءات، خلاص ماشي، الحاجة الـ example اللي بعد هيك
+
+156
+00:13:58,800 --> 00:14:02,820
+بحيث مثلا احنا شفناها قبل هيك، اللي هي لو عندي رقم
+
+157
+00:14:02,820 --> 00:14:07,960
+وبدي أحوله لـ binary، بدي أعرف كم bit في الـ binary
+
+158
+00:14:07,960 --> 00:14:11,100
+representation، سويناها قبل هيك احنا بـ .. بدون
+
+159
+00:14:11,100 --> 00:14:15,700
+recursion، كانت في loop، مظبوط؟ لأن لو بدنا نعمله بـ
+
+160
+00:14:15,700 --> 00:14:24,020
+recursion وبدنا نحسب الـ .. عدد مرات التنفيذ، فأنا
+
+161
+00:14:24,020 --> 00:14:28,300
+.. هذه الـ algorithm هو أنا .. الـ algorithm أمامي
+
+162
+00:14:28,300 --> 00:14:32,560
+بتقول أنه أنا الـ algorithm بتستدعي نفسها binary
+
+163
+00:14:32,560 --> 00:14:41,960
+recursive، بتستدعي نفسها كل مرة بـ N تساوي الـ N
+
+164
+00:14:41,960 --> 00:14:46,300
+السابقة على 2 وبناخد يا أخي الـ floor، يعني لو أنا
+
+165
+00:14:46,300 --> 00:14:50,080
+بدأت .. تتذكروا أنتم لما حكينا مثلا .. هذا قبل، هي
+
+166
+00:14:50,080 --> 00:14:54,160
+كان بدون recursion، ضربنا مثلا رقم أظن كان 18 أو
+
+167
+00:14:54,160 --> 00:14:55,480
+حيث هيك
+
+168
+00:14:57,600 --> 00:15:04,020
+18 على اتنين 9، صفر remainder، 9 على
+
+169
+00:15:04,020 --> 00:15:14,720
+اتنين 4 في واحد، 4 على اتنين 2، صفر، 2
+
+170
+00:15:14,720 --> 00:15:27,000
+على اتنين 1، صفر، بقى واحد، واحد على اتنين صفر، صح صح
+
+171
+00:15:27,650 --> 00:15:34,610
+فكانت ايش اللي هو 1 0 0 1 0، مظبوط هيك
+
+172
+00:15:34,610 --> 00:15:37,650
+احنا
+
+173
+00:15
+
+223
+00:20:08,910 --> 00:20:12,530
+بقدر أقول أنه هي الأربعة قريبة من الـ log تبع
+
+224
+00:20:12,530 --> 00:20:19,150
+الـ 16 log base 2 صح لأنه 2 أس 4 يساوي
+
+225
+00:20:19,150 --> 00:20:24,570
+16 مظبوط، 2 أس 5 يساوي 32
+
+226
+00:20:24,570 --> 00:20:29,690
+32 الـ 18 وقع في النص هنا، فالـ log تبع
+
+227
+00:20:29,690 --> 00:20:35,710
+الـ 18 هو 4 وشيء، فالـ 4 هذه هي عملياً الـ floor تبع
+
+228
+00:20:35,710 --> 00:20:46,010
+الـ log تبع الـ 18 علاقة الـ 4 بالـ 18 ماشي، الـ
+
+229
+00:20:46,010 --> 00:20:53,210
+4 هي الـ log base 2 للـ input، هذا كلام أنا الآن
+
+230
+00:20:53,210 --> 00:20:58,140
+بالنظر هيك بس، احنا بدنا نوصل لليمن خلال عمل تحليل
+
+231
+00:20:58,140 --> 00:21:02,360
+أنه
+
+232
+00:21:02,360 --> 00:21:06,180
+عدد
+
+233
+00:21:06,180 --> 00:21:12,460
+مرات الـ addition لما يبقى الـ input يساوي عدد مرات
+
+234
+00:21:12,460 --> 00:21:16,430
+الـ addition لما يبقى n على 2 مش n ناقص 1، صح ولا
+
+235
+00:21:16,430 --> 00:21:21,610
+لأ؟ لأن الـ algorithm بتأخذ الـ N ومش بتنقص منها كل
+
+236
+00:21:21,610 --> 00:21:24,670
+مرة واحد وبتحسب ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+237
+00:21:24,670 --> 00:21:24,770
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+238
+00:21:24,770 --> 00:21:25,090
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+239
+00:21:25,090 --> 00:21:25,470
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+240
+00:21:25,470 --> 00:21:26,790
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+241
+00:21:26,790 --> 00:21:27,730
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+242
+00:21:27,730 --> 00:21:27,750
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+243
+00:21:27,750 --> 00:21:28,190
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+244
+00:21:28,190 --> 00:21:35,610
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل ..
+
+245
+00:21:35,610 --> 00:21:41,310
+ل .. ل floor N على 2 زائد الـ 1 اللي هي عملية
+
+246
+00:21:41,310 --> 00:21:46,030
+الجمع، يعني إيش بيتم هنا؟ عدد مرات الـ additions اللي
+
+247
+00:21:46,030 --> 00:21:52,230
+بيتم بداخل هذه زائد 1، فهذه
+
+248
+00:21:52,230 --> 00:21:56,430
+A of N على 2 هي عدد مرات الجمع اللي بيحصل هنا في
+
+249
+00:21:56,430 --> 00:22:00,530
+الاستدعاء اللي بيحصل هنا، بنضيف عليه، بيتم عليه
+
+250
+00:22:00,530 --> 00:22:05,390
+عملية جمع إضافية اللي هيعطينا هنا، فبنسمي الـ
+
+251
+00:22:05,390 --> 00:22:09,110
+recurrence على هذا الشكل، أن A of N بيساوي A of N
+
+252
+00:22:09,110 --> 00:22:14,930
+على 2 زائد 1، طيب متى بيوقف الـ recurrence هذا؟ لما
+
+253
+00:22:14,930 --> 00:22:19,730
+الـ input يساوي 1، لما الـ input بيساوي 1 أصلاً ما
+
+254
+00:22:19,730 --> 00:22:23,250
+بنعمل addition بالمرة على طول، بنطلع output 1 ولا
+
+255
+00:22:23,250 --> 00:22:27,430
+لأ، فإيش عدد مرات الـ addition لما يكون الـ input
+
+256
+00:22:27,430 --> 00:22:31,830
+قيمة واحد؟ بيساوي صفر، zero additions
+
+257
+00:22:34,860 --> 00:22:38,640
+بنرجع تاني ونؤكد أن احنا أول شغل، يعني عشان أقدر
+
+258
+00:22:38,640 --> 00:22:42,140
+أُصيغ الـ recurrence بدي أحط إيدي على إيش هي الـ
+
+259
+00:22:42,140 --> 00:22:44,800
+operation، الـ basic operation، إن هنا الـ basic
+
+260
+00:22:44,800 --> 00:22:49,690
+operation هي عملية الجمع، هنا ما حصل جمع، فعند A of 1
+
+261
+00:22:49,690 --> 00:22:56,610
+ما في جمع، فـ 0، غير هيك قبل ما نصل لمرحلة هذه، عدد
+
+262
+00:22:56,610 --> 00:23:01,210
+مرات الجمع هو عدد مرات الجمع اللي بده يتم على الـ
+
+263
+00:23:01,210 --> 00:23:05,450
+input اللي أصغر أو اللي قبل، يعني زائد عملية جمع
+
+264
+00:23:05,450 --> 00:23:12,100
+إضافية، ليش هذه العملية اللي بتتم هنا؟ طيب احنا هنا
+
+265
+00:23:12,100 --> 00:23:19,840
+لسه حطينا إيدنا على أول المسار، أنه هذا الـ
+
+266
+00:23:19,840 --> 00:23:25,920
+recurrence relation بدنا نفكها، الإشكالية هنا أنه
+
+267
+00:23:25,920 --> 00:23:29,840
+بقدرش أستخدم الـ direct .. بقدرش أستخدم الـ backward
+
+268
+00:23:29,840 --> 00:23:35,080
+substitution بشكل مباشر، لأن السبب الرئيسي هو أن الـ
+
+269
+00:23:35,080 --> 00:23:39,140
+input مش قاعد يتناقص بمقدار واحد، ما أقدرش أقول a of
+
+270
+00:23:39,140 --> 00:23:42,920
+n بيساوي a of n ناقص 1، الـ input قاعد يتناقص
+
+271
+00:23:42,920 --> 00:23:51,260
+بيان بمقدار نص الـ input كل مرة، بينزل نص مظبوط، بقدر
+
+272
+00:23:51,260 --> 00:23:56,540
+أنا أغير صيغة الـ input وأجي أقول بدل ما احنا نقول
+
+273
+00:23:56,540 --> 00:24:03,840
+n نقول 2 أس k، 2 أس k، يعني أنا بدي أطلع
+
+274
+00:24:03,840 --> 00:24:10,720
+على N على أساس أنها رقم هو N مرفوع لـ K، يعني powers
+
+275
+00:24:10,720 --> 00:24:18,560
+of two، powers of two، إيش powers of two؟ أن الـ K
+
+276
+00:24:18,560 --> 00:24:24,100
+بتساوي صفر مظبوط؟
+
+277
+00:24:24,100 --> 00:24:31,560
+2، 4، 8، 16، عملياً أنا قاعد بقول أنه
+
+278
+00:24:31,560 --> 00:24:36,180
+أنا بدي أحسب number of additions بس في الحالات
+
+279
+00:24:36,180 --> 00:24:38,700
+هدول، في حالة ما الـ input يكون 1، في حالة ما الـ
+
+280
+00:24:38,700 --> 00:24:42,040
+input يكون 2، 4، 8، طب والقيم اللي
+
+281
+00:24:42,040 --> 00:24:47,240
+ما بينهم؟ القيم اللي ما بينهم أصلاً واقعة يعني من
+
+282
+00:24:47,240 --> 00:24:54,580
+الـ 4 للـ 7، عدد مرات الـ addition هو هو، بعد ذلك
+
+283
+00:24:54,580 --> 00:24:59,910
+بزيد من الـ 8 للـ 15، عدد مرات الـ addition بس
+
+284
+00:24:59,910 --> 00:25:03,010
+أنا استفدت من الحركة هذه، صار عندي K أنا بقدر
+
+285
+00:25:03,010 --> 00:25:07,050
+أنقصه بمقدار واحد كل مرة، يعني بقدر أصيغ الـ
+
+286
+00:25:07,050 --> 00:25:18,990
+problem بشكل هذا، أنه بدل ما أقول a of n، صرت بقول a
+
+287
+00:25:18,990 --> 00:25:25,260
+of 2 أس k، a of 2 أس k بيساوي عدد مرات الجمع
+
+288
+00:25:25,260 --> 00:25:28,960
+اللي بتتم لما يجي الـ input يساوي 2 أس k
+
+289
+00:25:28,960 --> 00:25:32,400
+بيساوي عدد مرات الجمع، يكون الـ input 2 أس k
+
+290
+00:25:32,400 --> 00:25:37,960
+ناقص 1 زائد 1، هذه الصيغة مكنتني أن أنا
+
+291
+00:25:37,960 --> 00:25:45,320
+أستخدم الـ backward substitution باني عملت
+
+292
+00:25:45,320 --> 00:25:48,640
+recurrence relationship كل
+
+293
+00:25:54,910 --> 00:25:58,930
+الـ addition، كل addition هي عبارة عن السابق، السابق
+
+294
+00:25:58,930 --> 00:26:04,790
+ب k ناقص 1 زائد 1، الآن الـ stopping condition
+
+295
+00:26:04,790 --> 00:26:10,550
+أن الـ input يساوي 1، يعني 2 أس 0
+
+296
+00:26:10,550 --> 00:26:14,970
+عند 1 بيكون عدد الـ addition صفر، خلاص أنا الآن
+
+297
+00:26:14,970 --> 00:26:22,510
+بقدر أكمل بالـ backward substitution، بأستبدل الـ k
+
+298
+00:26:22,510 --> 00:26:28,230
+يعني بلاش بقول أن A of 2 أس k بيساوي A of 2 to
+
+299
+00:26:28,230 --> 00:26:32,870
+the k ناقص 1 زائد 1، طيب هذا المقدار إيش يساوي؟
+
+300
+00:26:32,870 --> 00:26:36,090
+يساوي
+
+301
+00:26:36,090 --> 00:26:41,010
+اللي قبله زائد 1، اللي قبله A of 2 أس k
+
+302
+00:26:41,010 --> 00:26:44,810
+ناقص 2 زائد 1، لأن هذا المقدار كله الحين بدي
+
+303
+00:26:44,810 --> 00:26:50,590
+أحطه بدل هذا، هيأتّه هُنا أهو، A to the 2k ناقص
+
+304
+00:26:50,590 --> 00:26:55,660
+2 مظبوط، زائد 1، والواحد الأولاني الأصلي نزل
+
+305
+00:26:55,660 --> 00:27:04,480
+اللي هو، مسار 2 substitution آخر، هذا عبارة عن a
+
+306
+00:27:04,480 --> 00:27:08,540
+to the، a of 2 أس k ناقص 3 زائد 1
+
+307
+00:27:08,540 --> 00:27:13,920
+بأستبدل هذا المكان هنا وبنزل الواحد الأولاني، بنزل
+
+308
+00:27:13,920 --> 00:27:18,020
+الـ 2 هدول بنزلهم وبجمع عليهم الواحد، صارت 3، صارت الـ pattern الآن واضحة، لاحظوا أننا نعمل
+
+309
+00:27:18,020 --> 00:27:21,780
+الـ backward substitution هذا لكي نصل للـ pattern
+
+310
+00:27:21,780 --> 00:27:24,900
+الـ pattern، صح؟ الـ pattern هذه اللي هي بعدها
+
+311
+00:27:24,900 --> 00:27:29,500
+بقدر .. إيش؟ الـ pattern هذه اللي هي بعدها بقدر
+
+312
+00:27:29,500 --> 00:27:32,760
+أختزلها إلى function .. إلى function محددة، okay أنا
+
+313
+00:27:40,650 --> 00:27:44,490
+كيف الآن؟ هي الـ pattern صح؟ أنه أنا في عندي k ناقص
+
+314
+00:27:44,490 --> 00:27:49,470
+رقم، والرقم هذا هو نفس الرقم اللي برّه، فرمزت له بـ i
+
+315
+00:27:49,470 --> 00:27:53,170
+اللي هو عدد الـ iterations أو الـ recursive calls
+
+316
+00:27:53,170 --> 00:27:58,650
+عداد، عداد الـ recursive calls، إيه الآن؟ طيب هذا
+
+317
+00:27:58,650 --> 00:28:07,470
+الآن أنا كيف بقدر الآن أستبدله بـ exact term؟ أنا
+
+318
+00:28:07,470 --> 00:28:13,190
+أعلم أنه لما يبقى الـ input 1، بأعلم أنه الـ value
+
+319
+00:28:13,190 --> 00:28:16,330
+تبعه بيكون صفر، يعني a of 1 بيساوي صفر، طب متى
+
+320
+00:28:16,330 --> 00:28:24,050
+هذا بيكون 1؟ لما يكون هذا صفر، متى بيكون هذا صفر؟
+
+321
+00:28:24,050 --> 00:28:28,570
+لما يكون i بيساوي k، فأستبدل
+
+322
+00:28:28,570 --> 00:28:36,630
+الـ i بـ k في كل الصيغة، k و k، 2 أس صفر زائد k
+
+323
+00:28:36,710 --> 00:28:47,710
+هذا كله المقدار الآن صار إيش؟ هذا 1 خلاص
+
+324
+00:28:47,710 --> 00:28:56,150
+لأن هنا صفر، ك هذه هي عبارة عن الـ function k لحالها
+
+325
+00:28:56,150 --> 00:28:59,350
+هي عبارة عن الـ function اللي بتعبر لي عن عدد مرات
+
+326
+00:28:59,350 --> 00:29:06,000
+تنفيذ الـ addition، عدد مرات الجرعات اللي بتحصل في هذه
+
+327
+00:29:06,000 --> 00:29:12,120
+الـ algorithm بناء على الـ input وبناء على صيغة الـ
+
+328
+00:29:12,120 --> 00:29:17,260
+input هذه، مش صيغة الـ input هذه، يعني a of 2 to
+
+329
+00:29:17,260 --> 00:29:25,060
+the k بيساوي k، بس أنا حطيت k هذه بس عشان أحرك
+
+330
+00:29:25,060 --> 00:29:29,100
+العملية، لأن بدي ارجع ثاني لصيغة الـ n، خلاص إيش
+
+331
+00:29:29,100 --> 00:29:34,540
+علاقة الـ k بالـ n؟ بس احنا قلنا أن الـ n بيساوي 2
+
+332
+00:29:34,540 --> 00:29:44,530
+أس k، يبقى الـ k بيساوي log 2 of N، أو لأ؟ يبقى
+
+333
+00:29:44,530 --> 00:29:54,350
+أصبح ثانية، a of N بيساوي log 2 of N، log 2 of N هذه
+
+334
+00:29:54,350 --> 00:30:00,250
+الآن هي الخطوة قبل الأخيرة، الخطوة الأخيرة أن
+
+335
+00:30:00,250 --> 00:30:03,250
+أسمي هذه عبارة عن F of N
+
+336
+00:30:06,530 --> 00:30:11,530
+يبقى عن الـ function بيتعبّر عن عدد مرات تنفيذ الـ
+
+337
+00:30:11,530 --> 00:30:17,850
+basic operation لهذا الـ algorithm، log 2 of n، طيب
+
+338
+00:30:17,850 --> 00:30:24,950
+إيش تصنيف هذا الـ function؟ فببساطة
+
+339
+00:30:24,950 --> 00:30:35,830
+هي نفسها log of n، log of n هي السقف، و
+
+340
+00:30:37,380 --> 00:30:41,900
+لأنه أنا ما عندي worst case و best case، فكل الأحوال
+
+341
+00:30:41,900 --> 00:30:46,740
+الـ performance محصور في هذا الـ function، محصور في
+
+342
+00:30:46,740 --> 00:30:52,800
+هذا الـ function لأنها مش بس big O of، اللي أيضاً هي
+
+343
+00:30:52,800 --> 00:31:00,440
+big theta، صح؟ لأن big O معناته يساوي هذا الـ
+
+344
+00:31:00,440 --> 00:31:03,680
+performance، يساوي أو أقل، طب احنا عارفين أنه لن يقل
+
+345
+00:31:03,680 --> 00:31:10,130
+عن هيك، يعني الـ function أدائها هيجي log n دائماً، مش
+
+346
+00:31:10,130 --> 00:31:13,690
+أنه أقصى شيء هيك، لأ، هو أيضاً مش هيقل عن هيك، فبالذات
+
+347
+00:31:13,690 --> 00:31:23,550
+مش هيزيد ولا هيقل، يبقى هو big theta of log n، في
+
+348
+00:31:23,550 --> 00:31:27,630
+نهاية هذا المثال، برضه حليناه بالـ direct، بالـ
+
+349
+00:31:27,630 --> 00:31:31,490
+هذا، بالـ backward substitution، بس ما كانش direct
+
+350
+00:31:31,490 --> 00:31:35,590
+بمعنى إيش؟ يعني مش direct، بمعنى أن احنا اتوقفنا على
+
+351
+00:31:36,020 --> 00:31:41,380
+المتغير تبع الـ input size وعبّرنا عنه بصيغة أخرى
+
+352
+00:31:41,380 --> 00:31:48,020
+وبعدين رجعنا للصيغة، فضل على أي أساس حطينا log 2N
+
+353
+00:31:48,020 --> 00:31:51,400
+هذه؟
+
+354
+00:31:51,400 --> 00:32:01,320
+احنا أصلاً قلنا أن الـ N input size هنا، نأخذه 2 أس k، طب
+
+355
+00:32:01,320 --> 00:32:04,220
+إيش يعني 2 أس k؟ يعني الـ k إيش علاقتها بالـ N؟
+
+356
+00:32:10,760 --> 00:32:17,040
+الأساس هو الـ 2 في الأساس، فخلاص احنا حطينا، شلنا k
+
+357
+00:32:17,040 --> 00:32:23,660
+من السبعة هذا وحطينا بدل n، وبالتالي حطينا  عيب
+
+358
+00:32:23,660 --> 00:32:28,080
+يساوي على طرف منه 2 أس k صح؟ على طرف التاني
+
+359
+00:32:28,080 --> 00:32:35,560
+k، فشلنا هنا، هذا هو n، و شلنا هذا اللي هو طبعاً
+
+360
+00:32:35,560 --> 00:32:44,440
+هو log n، طيب
+
+361
+00:32:44,440 --> 00:32:49,980
+في الـ .. إذا الأمور هي ماشية، في الجزء الأخير بدنا
+
+362
+00:32:49,980 --> 00:32:54,520
+نحكي بس كلمتين في section 5.2، 5.2
+
+363
+00:32:54,520 --> 00:33:00,940
+5 برضه recursive function، recursive algorithm
+
+364
+00:33:01,900 --> 00:33:05,540
+الـ recursive algorithm هذه سيئة جداً، الـ
+
+365
+00:33:05,540 --> 00:33:09,560
+performance تبعها سيء جداً، يعني المسألة تنحل بدون
+
+366
+00:33:09,560 --> 00:33:13,040
+recursion ويبقى الـ performance عالي جداً، فاحنا
+
+367
+00:33:13,040 --> 00:33:18,000
+نطلع عليها الـ algorithm هذه مش لِحسنتها أو .. لأ
+
+368
+00:33:18,000 --> 00:33:22,460
+إنها بس لهدف التحليل، لهدف أن نشوف كيف ممكن نحسب
+
+369
+00:33:22,460 --> 00:33:26,700
+اللي هو الـ performance تبعها، الـ fibonacci numbers
+
+370
+00:33:26,700 --> 00:33:27,660
+مرحباً عليكم
+
+371
+00:33:37,560 --> 00:33:46,940
+اللي هي متتالية من الأعداد، كل رقم فيها يساوي
+
+372
+00:33:46,940 --> 00:33:51,300
+الرقمين اللي قبله، مجموعهم، 5، مجموع 3 أو
+
+373
+00:33:51,300 --> 00:33:58,440
+2، 1، 21، مجموع، فعملياً أي fibonacci
+
+374
+00:33:58,440 --> 00:34:03,950
+number هو حاصل جمع، ناقص 1 في الفيبوناتشي الناقص
+
+375
+00:34:03,950 --> 00:34:06,090
+1 في الفيبوناتشي الناقص 1 في الفيبوناتشي
+
+376
+00:34:06,090 --> 00:34:09,190
+الناقص 1 في الفيبوناتشي الناقص 1 في
+
+377
+00:34:09,190 --> 00:34:11,050
+الفيبوناتشي الناقص 1 في الفيبوناتشي الناقص 1
+
+378
+00:34:11,050 --> 00:34:16,890
+في الفيبوناتشي الناقص 1 في الفيبوناتشي الناقص
+
+379
+00:34:16,890 --> 00:34:19,690
+1 في الفيبوناتشي الناقص 1 في الفيبوناتشي
+
+380
+00:34:19,690 --> 00:34:20,310
+الناقص 1 في الفيبوناتشي الناقص 1 في
+
+381
+00:34:20,310 --> 00:34:21,130
+الفيبوناتشي الناقص 1 في الفيبوناتشي الناقص 1
+
+382
+00:34:21,130 --> 00:34:30,860
+في الفيبوناتشي الناقص 1 في الفيبوناتشي 1 2 3 4 5
+
+383
+00:34:30,860 --> 00:34:37,360
+6 7، لما
+
+384
+00:34:37,360 --> 00:34:41,360
+أنا بدي أجيب الـ
+
+385
+00:34:41,360 --> 00:34:49,720
+input، يعني f of 7 يساوي 13، فهذا المقصود في finding
+
+386
+00:34:49,720 --> 00:34:55,740
+the nth Fibonacci number، 0، 1، 1، 2، 1، 3، 2
+
+387
+00:34:55,740 --> 00:35:01,860
+الـ 2، 1، المهم الـ
+
+388
+00:35:01,860 --> 00:35:07,880
+algorithm، ممكن أنا أتخيل قد إيش طرق للـ .. ممكن
+
+389
+00:35:07,880 --> 00:35:10,280
+recursive algorithm، هنشوفها كمان شوية، وممكن non
+
+390
+00:35:10,280 --> 00:
+
+445
+00:39:56,740 --> 00:40:01,780
+إنه إذا كان الرقم less than or equal one، return n. يعني
+
+446
+00:40:01,780 --> 00:40:05,730
+إذا هو صفر أو واحد، ماذا يوجد في بناتشي تبع الـ
+
+447
+00:40:05,730 --> 00:40:09,570
+صفر؟ هو صفر. ماذا يوجد في بناتشي تبع الواحد؟ هو واحد.
+
+448
+00:40:09,570 --> 00:40:16,770
+بعدها نبدأ نجمعها، المهم
+
+449
+00:40:16,770 --> 00:40:21,830
+إذا هو أقل من واحد، فإذا
+
+450
+00:40:21,830 --> 00:40:29,170
+هو صفر، وإذا هو واحد، فـ return n نفسها. بعد الواحد يختلف.
+
+451
+00:40:29,170 --> 00:40:33,810
+الأمر هنا، نبدأ نحسب إيش الـ recursive algorithm
+
+452
+00:40:33,810 --> 00:40:38,770
+بتستخدمه، تستخدم نفسها على n ناقص واحد عشان تحسب
+
+453
+00:40:38,770 --> 00:40:45,970
+الفيبوناتشي تبع n ناقص واحد، وتجمع عليه الفيبوناتشي
+
+454
+00:40:45,970 --> 00:40:55,930
+تبع n ناقص اثنين أيضا.
+
+455
+00:40:55,930 --> 00:41:00,390
+نبدأ من أول طريقة، والمحاضرة جاية على أول الطريقة.
+
+456
+00:41:00,390 --> 00:41:03,370
+هي أننا سنقوم بصيغة الـ Recurrence Relationship.
+
+457
+00:41:03,370 --> 00:41:08,610
+الـ Recurrence Relationship بتوضح عدد مرات تنفيذ
+
+458
+00:41:08,610 --> 00:41:11,830
+الـ Basic Operation. الـ Basic Operation عندنا هنا
+
+459
+00:41:11,830 --> 00:41:14,150
+بناءً على الـ Algorithm، ليس من المدخل، بناءً على الـ
+
+460
+00:41:14,150 --> 00:41:18,450
+Algorithm. هي عادة عملية الجمع، هذا اللي
+
+461
+00:41:18,450 --> 00:41:23,090
+بيحصل هنا. طب أقدر أقول أن عملية الجمع تساوي
+
+462
+00:41:23,090 --> 00:41:27,570
+input for size N، تساوي عدد مرات الجمع اللي بتحصل
+
+463
+00:41:27,570 --> 00:41:31,860
+هنا. زائد عدد مرات الجمع اللي بتحصل هنا زائد واحد.
+
+464
+00:41:31,860 --> 00:41:37,840
+عدد مرات الجمع اللي بتحصل على input n-1، زائد عدد
+
+465
+00:41:37,840 --> 00:41:40,800
+مرات الجمع اللي بتحصل على input n-2 زائد واحد.
+
+466
+00:41:40,800 --> 00:41:45,940
+اللي هي لما آخذ الـ output  هدول وأجمعهم مع بعض، هذا
+
+467
+00:41:45,940 --> 00:41:51,840
+الأمر بيقف عند two stopping points، اللي هو أن
+
+468
+00:41:51,840 --> 00:41:56,020
+الـ input n يساوي صفر، لأن معلوم أن output عندها عدد
+
+469
+00:41:56,020 --> 00:41:59,890
+مرات الجمع صفر. برضه عند n=1، عدد مرات الجمع
+
+470
+00:41:59,890 --> 00:42:04,410
+صفر، صح؟ لأنه لو كان input صفر أو واحد، ما بعمل
+
+471
+00:42:04,410 --> 00:42:08,110
+جمع بالمرة، بعمل return على طول للقيمة اللي
+
+472
+00:42:08,110 --> 00:42:16,230
+دخلت، هو اللي بيطلع، صح؟ صح طبعا. الصفر هو عدد مرات
+
+473
+00:42:16,230 --> 00:42:22,250
+الجمع، مش الـ output،  اتلخبطنا. خلاص، من هنا أنا مطلوب
+
+474
+00:42:22,250 --> 00:42:30,370
+أن أعمل تحليل لأحولها إلى Recurrent relation إلى
+
+475
+00:42:30,370 --> 00:42:36,250
+exact function. المحاضرة القادمة إن شاء الله، بنطلع
+
+476
+00:42:36,250 --> 00:42:38,350
+على الطريق.
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/o5QuftAQrz4_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/o5QuftAQrz4_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..66428cac1d760dae76ce908ba372f9fdfd8a76ff
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/o5QuftAQrz4_postprocess.srt
@@ -0,0 +1,1904 @@
+1
+00:00:21,040 --> 00:00:23,360
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,360 --> 00:00:26,920
+المرسلين اليوم إن شاء الله بدنا نكمل في example
+
+3
+00:00:26,920 --> 00:00:30,460
+رقم تلاتة بس على السريع بدي أراجع معاكم example
+
+4
+00:00:30,460 --> 00:00:35,530
+رقم اتنين اللي كنا في المحاضرة الماضيةالـ Example
+
+5
+00:00:35,530 --> 00:00:40,250
+هذا كان اللي هو مسألة Tower of Hanoi اللي هي بننجل
+
+6
+00:00:40,250 --> 00:00:45,810
+عدد N من الأقراس من عمود إلى عمود آخر بواسطة عمود
+
+7
+00:00:45,810 --> 00:00:52,730
+تالت وسيط كانت صياغة ال .. يعني في الآخر في نهاية
+
+8
+00:00:52,730 --> 00:00:56,130
+الأمر ال basic operation اللي بتتم في هذه المسألة
+
+9
+00:00:56,130 --> 00:01:02,770
+هي نقل ال disk من مكان إلى مكان فال ..الـ
+
+10
+00:01:02,770 --> 00:01:05,910
+execution time تبع ال algorithm بعتمد على عدد مرات
+
+11
+00:01:05,910 --> 00:01:11,250
+النقل اللي بدأ تم فعدد مرات النقل تم صياغته بهذا
+
+12
+00:01:11,250 --> 00:01:17,430
+الشكل إنه نقل ال diskات كلها من العمود الأصلي إلى
+
+13
+00:01:17,430 --> 00:01:22,990
+العمود الهدف يعني يساوي أول أشياء بدنا ننقل in
+
+14
+00:01:22,990 --> 00:01:29,360
+ناقص واحدكلها إلى الأخير على العمود الوسيط بعدين
+
+15
+00:01:29,360 --> 00:01:33,080
+ننجل ال disk الأخير اللي تركناه هذا ننجله على
+
+16
+00:01:33,080 --> 00:01:40,410
+العمود النهائي بعدين بنروح و احنا نجلينالدسكات من
+
+17
+00:01:40,410 --> 00:01:45,050
+العمود الوسيط إلى العمود النهائي فهذا يبقى أصبحت
+
+18
+00:01:45,050 --> 00:01:48,230
+الصيغة ان M of N بيساوي M of N نقص واحد M هنا
+
+19
+00:01:48,230 --> 00:01:52,830
+اقتصار لعدد مرات ال moves عدد ال moves اللي بتتم
+
+20
+00:01:52,830 --> 00:01:58,470
+بيساوي M نقص واحد moves زاد M نقص واحد moves زاد
+
+21
+00:01:58,470 --> 00:02:05,330
+واحد طبعا الدسكات لازم تكون عدد N greater than one
+
+22
+00:02:05,330 --> 00:02:13,050
+لأن هذا الكلامRecurrence relation تنتهي
+
+23
+00:02:13,050 --> 00:02:16,110
+عندما يكون عدد الديسكات واحد عدد الديسكات واحد
+
+24
+00:02:16,110 --> 00:02:23,050
+بتكون one move موف واحدة احنا باستخدام ال backward
+
+25
+00:02:25,330 --> 00:02:33,290
+substitution أو replacement بدنا او فعليا حللنا او
+
+26
+00:02:33,290 --> 00:02:38,150
+حلينا هذا ال relation من الصيغة هذه الى exact
+
+27
+00:02:38,150 --> 00:02:42,310
+value في الآخر او exact function اللى تقولى ان M
+
+28
+00:02:42,310 --> 00:02:47,910
+of N بتساوي جداش بالظبط بدل ما هى M of N معرفة على
+
+29
+00:02:47,910 --> 00:02:52,110
+اساس اللى جابلها وهذا طلع معانا
+
+30
+00:02:57,680 --> 00:03:01,720
+باستخدام الـ Substitution طلعت معنا الـ Pattern
+
+31
+00:03:01,720 --> 00:03:16,440
+النهائي هذا الجزء
+
+32
+00:03:16,440 --> 00:03:19,880
+الآن هيك و عبارة عن متتالية متتالية حسابية و
+
+33
+00:03:19,880 --> 00:03:25,610
+متتالية عدديةالـ solution تبع هذه المجموعة
+
+34
+00:03:25,610 --> 00:03:30,470
+النهائية لهذه الحدود هي اتنين اقصى I ناقص واحد
+
+35
+00:03:30,470 --> 00:03:34,650
+يبقى
+
+36
+00:03:34,650 --> 00:03:41,610
+صلة الصيغة النهائية هي هذه لأن ببساطة شديدة بنقول
+
+37
+00:03:41,610 --> 00:03:46,920
+انه ايش بنعرف عن ال term هذا ال finalالـ Value الـ
+
+38
+00:03:46,920 --> 00:03:51,640
+Exact تبعه وقت إيش يكون الـ Value تبعه محدد نرجع
+
+39
+00:03:51,640 --> 00:03:55,580
+تاني للصيغة اللي هو الـ Recurrence انه لما نيبقى M
+
+40
+00:03:55,580 --> 00:04:07,240
+of 1 هتكون القيمة one فمتى هذا الكلام يكون one لما
+
+41
+00:04:07,240 --> 00:04:12,720
+يكون I بساوي N ناقص واحد واجهتها نجم يقول N ناقص I
+
+42
+00:04:12,720 --> 00:04:14,700
+بتساوي N ناقص
+
+43
+00:04:17,260 --> 00:04:22,460
+ن نقص واحد و يساوي ن نقص ن زايد واحد و يساوي واحد
+
+44
+00:04:22,460 --> 00:04:30,340
+صح يبقى عند I بتساوي ن نقص واحد بقدر انا استبدل
+
+45
+00:04:30,340 --> 00:04:37,720
+هذا بال value one يصبح طبعا لازم استبدل ال I في كل
+
+46
+00:04:37,720 --> 00:04:41,600
+مكان يصبح two أص
+
+47
+00:04:46,720 --> 00:04:53,440
+ن نقص واحد مظبوط م of هذا الكلام كله بيصير واحد
+
+48
+00:04:53,440 --> 00:04:59,560
+هذا الكلام كله واحد خلاص بشيله بيجي بعدين اتنين اص
+
+49
+00:04:59,560 --> 00:05:03,140
+اي اللي هي اتنين اص ن نقص واحد وبيجي بعدها نقص
+
+50
+00:05:03,140 --> 00:05:09,620
+واحد هذا الكلام اتنين ان اص نقص واحد
+
+51
+00:05:21,590 --> 00:05:27,670
+بالظبط هك خلاص
+
+52
+00:05:27,670 --> 00:05:33,390
+هذا هو ال exact function اللي بتعبر عن ال number
+
+53
+00:05:33,390 --> 00:05:40,810
+of moves على أساس input size على أساس ال input
+
+54
+00:05:40,810 --> 00:05:44,430
+بناء على ال input بقدر أقولك الآن بالظبط كده هيكون
+
+55
+00:05:44,430 --> 00:05:50,380
+عدد ال movesأما هنا أما في الصيغة هذه ماكنت بقدر
+
+56
+00:05:50,380 --> 00:05:53,060
+انت تجيبني تقولي عدد مرات ال moves بيساوي عدد مرات
+
+57
+00:05:53,060 --> 00:05:56,940
+ال moves اللي جابلها زاد واحد وهذا recursive
+
+58
+00:05:56,940 --> 00:05:59,960
+definition اللي هو يعني recurrence relation ما
+
+59
+00:05:59,960 --> 00:06:04,240
+بتعطيني إجابة محددة حللناها عشان نصل إلى إجابة
+
+60
+00:06:04,240 --> 00:06:09,680
+محددة هذه خلاص الآن هذه بقدر أصنفها هذه ال
+
+61
+00:06:09,680 --> 00:06:14,320
+function M of N بساوي N square نقصه أحد بقدر
+
+62
+00:06:14,320 --> 00:06:18,830
+أصنفهاإنها ال complexity تبعتها Big O ولا Big
+
+63
+00:06:18,830 --> 00:06:23,710
+Theta ولا Big Omega أولا لازم أقر زي ما احنا
+
+64
+00:06:23,710 --> 00:06:28,050
+عارفين انه هل في worst case و best case ولا كله
+
+65
+00:06:28,050 --> 00:06:34,650
+ولا مافيش ولا كل ال algorithm ماحتش تشتغل بنفس
+
+66
+00:06:34,650 --> 00:06:40,410
+السرعة على ال input مافيش يعنى هنا في ال
+
+67
+00:06:42,960 --> 00:06:46,560
+في الـ Tower of Hanoi Problem مافيش أنه انه والله
+
+68
+00:06:46,560 --> 00:06:49,860
+زي قلنا مثال قبل هي كانوا يكون فيه array و بدنا
+
+69
+00:06:49,860 --> 00:06:53,640
+نعملها sorting أو بدنا نعمل فيها search و الأمر
+
+70
+00:06:53,640 --> 00:06:58,400
+بيعتمد هل المرتبة هي مسبقا و لا مش مرتبة إذا مرتبة
+
+71
+00:06:58,400 --> 00:07:00,740
+يبقى هذا best case مش مرتبة worst case هنا مافيش
+
+72
+00:07:00,740 --> 00:07:05,760
+الكلام هذا صح؟ يبقى هذه ال function هي على الدوام
+
+73
+00:07:05,760 --> 00:07:12,820
+اللي بتعبر عن ال execution timeيبقى على طول بقدر
+
+74
+00:07:12,820 --> 00:07:34,660
+اقول ان ال m of n اللي هو هذا is a big ish اخدنا
+
+75
+00:07:34,660 --> 00:07:40,610
+ال two to the power n وشيلنا ال constantهذه الـ N
+
+76
+00:07:40,610 --> 00:07:47,590
+هي عبارة عن G of N وهذه هي عبارة عن F of N فالـ F
+
+77
+00:07:47,590 --> 00:07:50,610
+of N اللي هي الـ function بتعبر عن الـ الـ الـ الـ
+
+78
+00:07:50,610 --> 00:07:51,150
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+79
+00:07:51,150 --> 00:07:51,790
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+80
+00:07:51,790 --> 00:07:52,210
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+81
+00:07:52,210 --> 00:07:54,690
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+82
+00:07:54,690 --> 00:07:55,250
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+83
+00:07:55,250 --> 00:07:56,730
+الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ الـ
+
+84
+00:07:56,730 --> 00:07:56,870
+الـ الـ الـ
+
+85
+00:08:03,710 --> 00:08:10,810
+مثل هذه المشكلة المسائل التي يتوقعها الطالب عموما
+
+86
+00:08:10,810 --> 00:08:19,070
+هي أن يكون أمامك algorithm وينطلب منك هذا التصنيف
+
+87
+00:08:19,070 --> 00:08:25,210
+تبعها big O او big theta of ايش عشان تصل إلى هذه
+
+88
+00:08:25,210 --> 00:08:29,670
+النقطة بدك تمر بالعملية كلها اول خطوة في العملية
+
+89
+00:08:29,670 --> 00:08:33,280
+انك تفهم ال algorithmولنا مافهمتش ال algorithm مش
+
+90
+00:08:33,280 --> 00:08:39,080
+حتى تقدر تشتغلي تاني إشي بتدرسي كويس ال input كيف
+
+91
+00:08:39,080 --> 00:08:43,240
+شكله حيكون و هل حيكون في حالات best case و worst
+
+92
+00:08:43,240 --> 00:08:47,300
+case تمام هنا واضح ال input عبارة عن single value
+
+93
+00:08:47,300 --> 00:08:52,420
+بس يتراوح الحجم تبعه بينما في بعض ال algorithmات
+
+94
+00:08:52,420 --> 00:08:56,670
+حقيقة ممكن يكون ال input عبارة عن arrayوبالتالي
+
+95
+00:08:56,670 --> 00:09:03,050
+سيزة ال array هو اللى بتغير بعد ما نحدد ال
+
+96
+00:09:03,050 --> 00:09:09,390
+parameter اللى بعبر عن input size بدنا نبدأ نشوف
+
+97
+00:09:09,390 --> 00:09:13,860
+هل هي ال algorithm فيها recursion ولا مافيهاشصح
+
+98
+00:09:13,860 --> 00:09:17,620
+ولا لا؟ إذا .. إذا فيها .. إذا مافيش فيها
+
+99
+00:09:17,620 --> 00:09:22,860
+recursion بقدر أتبع ال basic operation و أحقق بناء
+
+100
+00:09:22,860 --> 00:09:27,500
+على إذا في loop ولا مافيش loop و أحسب او أحط فيه
+
+101
+00:09:27,500 --> 00:09:32,380
+formula بتعبر عن عدد مرات تنفيذ هذه ال loop هذه ال
+
+102
+00:09:32,380 --> 00:09:35,860
+.. أي نعم إذا في recursion بدي أطلع على عدد
+
+103
+00:09:35,860 --> 00:09:39,060
+الاستدعاءات ال recursion و إيش ال basic operation
+
+104
+00:09:39,060 --> 00:09:43,650
+اللي بتتميعني هنا ال basic operation هي moving one
+
+105
+00:09:43,650 --> 00:09:47,170
+disk في ال factorial كانت ال basic operation هي
+
+106
+00:09:47,170 --> 00:09:52,370
+عملية الضرب نضرب الرقم بالنتج اللي جابله فبتحدد ال
+
+107
+00:09:52,370 --> 00:09:57,550
+basic operation بيصير عندك انت معنية بحساب عدد
+
+108
+00:09:57,550 --> 00:10:01,330
+مرات استدعاء ال recursive calls تبع ال algorithm
+
+109
+00:10:01,330 --> 00:10:07,800
+okay بنعبر عن هذا الأمر ب recurrence relationإن
+
+110
+00:10:07,800 --> 00:10:11,640
+عدد مرات استدعاء الـ Algorithm على input size N
+
+111
+00:10:11,640 --> 00:10:18,880
+بساوي كذا على input size N نقص واحد زائد
+
+112
+00:10:18,880 --> 00:10:21,280
+.. مش عارف إذا كان فيه إشي برضه في ال algorithm
+
+113
+00:10:21,280 --> 00:10:26,440
+يقول زائد واحد أو زائد اتنين هذه ال formula أجت من
+
+114
+00:10:26,440 --> 00:10:31,180
+خلال معرفتنا لأ كم مرة بتتحركوا الدسكات، مظبوط؟
+
+115
+00:10:31,700 --> 00:10:35,500
+فبصيحي الـ Recurrence Relationship الـ Recurrence
+
+116
+00:10:35,500 --> 00:10:38,840
+Relationship لازم تشتمل على الـ Recurrence Formula
+
+117
+00:10:38,840 --> 00:10:41,960
+زائد أيضا كمان الـ Stopping Condition اللي هو متى
+
+118
+00:10:41,960 --> 00:10:46,120
+هذا الـ Recurrence بتوقف بعد هيك بتبدأ تحليليها
+
+119
+00:10:46,120 --> 00:10:51,560
+باستخدام اللي هو الـ Backward Substitution تصل إلى
+
+120
+00:10:51,560 --> 00:10:58,600
+الـ Exact Formula و خلاص بعدها بتصنفيها المثال
+
+121
+00:10:58,600 --> 00:11:03,940
+اللي بعد هيكأه قبل ما نطلع على المثال اللي بعد
+
+122
+00:11:03,940 --> 00:11:09,060
+example تلاتة هذه ال tree بتعبر عن ال recursive
+
+123
+00:11:09,060 --> 00:11:14,360
+calls ل ال towers of Hanoi problem أن أول call
+
+124
+00:11:14,360 --> 00:11:20,460
+بنستدعي ال function بنعطيها N هذا الاستدعاء بيترتب
+
+125
+00:11:20,460 --> 00:11:30,830
+عليه استدعى N صح؟ M of N نقص واحدM of N نقص واحد
+
+126
+00:11:30,830 --> 00:11:35,970
+المهم
+
+127
+00:11:35,970 --> 00:11:42,370
+ان ال function تستعدى نفسها مرتين كل مرة على N أقل
+
+128
+00:11:42,370 --> 00:11:45,970
+مقدار واحد هذه الآن برضه هتكرر العملية وتستعدى
+
+129
+00:11:45,970 --> 00:11:50,030
+نفسها مرتين على N نقص اتنين هيتكرر هذا الأمر هنا
+
+130
+00:11:50,030 --> 00:11:53,510
+ال tree كل node فيها عبارة عن coal استدعاء
+
+131
+00:11:56,970 --> 00:12:01,810
+2 فهي binary tree الـ binary tree هذه ال depth تبع
+
+132
+00:12:01,810 --> 00:12:06,870
+عدد ال levels يساوي n لأننا نبدأ ب n و كل level
+
+133
+00:12:06,870 --> 00:12:10,390
+أنقص من اللي بعده بمقدار واحد لحد ات ما نصل ل one
+
+134
+00:12:10,390 --> 00:12:16,330
+one هنا لما نستدعي ال function على one مافيش حاجة
+
+135
+00:12:16,330 --> 00:12:20,210
+استدعى خلاص هترجع one وهذا هترجع one هدول التانية
+
+136
+00:12:20,210 --> 00:12:26,620
+هينجمعوا وينضاف عليهم ال oneOkay فهنا مافيش بعدها
+
+137
+00:12:26,620 --> 00:12:30,700
+كاستدعاءات فعدد مرات عدد ال levels تبع هذه ال tree
+
+138
+00:12:30,700 --> 00:12:36,300
+يساوي من 1 ل N يعني N N levels فببساطة احنا هذه
+
+139
+00:12:36,300 --> 00:12:39,020
+الكلام لما يكون في عيننا binary tree و معروف عدد
+
+140
+00:12:39,020 --> 00:12:42,020
+ال levels تبعها و ال binary tree يعني ال branching
+
+141
+00:12:42,020 --> 00:12:47,200
+تبعها two كل node بتتفرع منها two فببقى على طول
+
+142
+00:12:47,200 --> 00:12:53,990
+مباشرةعدد الـ nodes تبعت هذه الـ tree يساوي two to
+
+143
+00:12:53,990 --> 00:12:57,070
+the n نقص واحد اللي هو اللي اتواصلنا إليه احنا في
+
+144
+00:12:57,070 --> 00:13:01,190
+التحليل تبعنا مظبوط بس هذا الكلام أنا بقدر أعرفه
+
+145
+00:13:01,190 --> 00:13:05,190
+مسبقا بمجرد أني ألاحظ أن ال algorithm بتستخدم
+
+146
+00:13:05,190 --> 00:13:12,250
+نفسها مرتين مرتين فبقدر أحكم عليها أنها عدد مرات
+
+147
+00:13:12,250 --> 00:13:16,250
+الاستدعاء عدد مرات الاستدعاء هذا هو عدد مرات ال
+
+148
+00:13:16,250 --> 00:13:22,730
+moves لأن في كل استدعاء في move في الآخرهو two to
+
+149
+00:13:22,730 --> 00:13:27,030
+the n نقص واحد واحد
+
+150
+00:13:27,030 --> 00:13:30,150
+لان هو عدد ال levels عدد المستويات الان المستوى
+
+151
+00:13:30,150 --> 00:13:34,010
+هذا في node واحدة المستوى هذا في two nodes المستوى
+
+152
+00:13:34,010 --> 00:13:39,140
+هذا في أربع nodes مظبوطOkay فاندي انا واحد اتنين
+
+153
+00:13:39,140 --> 00:13:47,220
+اربعة بعد هيكاش تمانية ستة عشر ففي النهاية
+
+154
+00:13:47,220 --> 00:13:50,920
+الإجمالي عدد ال notes عدد ال notes يعبر عن عدد
+
+155
+00:13:50,920 --> 00:13:56,860
+الاستدعاء خلاص ماشي الحاجة ال example اللي بعد هيك
+
+156
+00:13:58,800 --> 00:14:02,820
+بحيث مثلا احنا شوفناها قبل هيك اللي هي لو عندي رقم
+
+157
+00:14:02,820 --> 00:14:07,960
+و بدى احوله ل binary بدى اعرف اكم bit في ال binary
+
+158
+00:14:07,960 --> 00:14:11,100
+representation سوناها قبل هيك احنا ب .. بدون
+
+159
+00:14:11,100 --> 00:14:15,700
+recursion كانت في loop، مظبوط؟ لأن لو بدنا نعمله ب
+
+160
+00:14:15,700 --> 00:14:24,020
+recursion و بدنا نحل ال .. عدد مرماط التنفيذ فانا
+
+161
+00:14:24,020 --> 00:14:28,300
+.. هاي ال algorithm هو انا ..الـ Algorithm أمامي
+
+162
+00:14:28,300 --> 00:14:32,560
+بتقول أنه أنا ال Algorithm تستدعي نفسها binary
+
+163
+00:14:32,560 --> 00:14:41,960
+recursive بتستدعي نفسها كل مرة ب N تساوي ال N
+
+164
+00:14:41,960 --> 00:14:46,300
+السابقة على 2 و بناخد ياش ال floor يعني لو أنا
+
+165
+00:14:46,300 --> 00:14:50,080
+بدأت .. تتذكروا أنتوا لما حكينا مثلا .. هذا قبل هي
+
+166
+00:14:50,080 --> 00:14:54,160
+كان بدون recursion ضربنا مثلا رقم أظن كان 18 أو
+
+167
+00:14:54,160 --> 00:14:55,480
+حيث هيك
+
+168
+00:14:57,600 --> 00:15:04,020
+منطقاش على اتنين تسعة Zero remainder تسعة على
+
+169
+00:15:04,020 --> 00:15:14,720
+اتنين اربعة في واحد اربعة على اتنين Zero اتنين
+
+170
+00:15:14,720 --> 00:15:27,000
+اتنين على اتنين Zero بقى واحد واحد على Zero صح صح
+
+171
+00:15:27,650 --> 00:15:34,610
+فكانت ايش اللي هو one zero zero one zero مظبوط هيك
+
+172
+00:15:34,610 --> 00:15:37,650
+احنا
+
+173
+00:15:37,650 --> 00:15:43,450
+معنين مش بالتحويل نفسه بس معنين بعددهم خمسة يعني
+
+174
+00:15:43,450 --> 00:15:49,690
+هذه ال algorithm بتقول لي ال input تمانتعش ال
+
+175
+00:15:49,690 --> 00:15:51,790
+output هيكون خمسة
+
+176
+00:15:54,790 --> 00:15:58,290
+فبناء على صيغة ال algorithm زي ما هيك او ال
+
+177
+00:15:58,290 --> 00:16:02,090
+recursion اللي بيحصل اولا وين ال basic operation
+
+178
+00:16:02,090 --> 00:16:06,270
+اللي بتتنفس استدعاء نفسه ماهواش basic operation
+
+179
+00:16:06,270 --> 00:16:09,750
+عملية الجمع هذه هي ال basic operation عملية الجمع
+
+180
+00:16:09,750 --> 00:16:15,830
+هذه ان احنا كل استدعاء بعد ما يجينا ال output تبقى
+
+181
+00:16:15,830 --> 00:16:21,130
+بنضيف عليه واحد و ببرجع للاستدعاء اللي جابنا صح ان
+
+182
+00:16:21,130 --> 00:16:22,510
+انا لو بدي ارسم هذا الكلام
+
+183
+00:16:25,160 --> 00:16:30,180
+حاجة اقول ان والله في iteration one ال input ال
+
+184
+00:16:30,180 --> 00:16:38,220
+input حيكون خليني نبدأ نقول in بساوية 18 ع السبيل
+
+185
+00:16:38,220 --> 00:16:46,040
+يعني مثال محدد 18 الان ايش ال function هتعمل هتعمل
+
+186
+00:16:46,040 --> 00:16:53,440
+اللي هو recursion
+
+187
+00:16:53,440 --> 00:16:53,680
+ل
+
+188
+00:16:59,530 --> 00:17:05,970
+بالصراحة هذا القيمة 9 هتدخل ك input ل ال recursion
+
+189
+00:17:05,970 --> 00:17:11,870
+call اللي بعدها تمام هذا ال 9 طبعا ماهياش تساوي 1
+
+190
+00:17:11,870 --> 00:17:17,300
+فبالتالي هنعمل استدعاء جديدلسة على اتنين هي اربعة
+
+191
+00:17:17,300 --> 00:17:21,140
+و نص ال floor تبعها اربعة مظبوط هذا الاستدعاء
+
+192
+00:17:21,140 --> 00:17:24,760
+التالت الان هنعمل نفس الاشي لانه ماصلناش للواحد
+
+193
+00:17:24,760 --> 00:17:28,820
+لسه اربعة على اتنين اللي هو ايش اتنين هذا
+
+194
+00:17:28,820 --> 00:17:33,460
+الاستدعاء الرابع صح
+
+195
+00:17:33,460 --> 00:17:40,620
+الان اتنين برضه ماصلناش للواحد اتنين على اتنين هذه
+
+196
+00:17:40,620 --> 00:17:43,560
+واحد الان ففي ال iteration الخامسة
+
+197
+00:17:47,300 --> 00:17:52,380
+هنطلع واحد على طول هذا مافيش recursion هنا هنطلع
+
+198
+00:17:52,380 --> 00:17:56,620
+output على طول مافيش
+
+199
+00:17:56,620 --> 00:18:06,900
+recursion هنطلع output على طول الان هذا
+
+200
+00:18:06,900 --> 00:18:09,780
+الواحد هيرجع لل iteration اللي قبل وينضاف عليه
+
+201
+00:18:09,780 --> 00:18:15,940
+واحد مصبوطهن تتم عملية جمع هنا مافيش عملية جمع
+
+202
+00:18:15,940 --> 00:18:20,560
+الواحد هتعود هنا وينضف علي واحد ويعطينا output
+
+203
+00:18:20,560 --> 00:18:26,240
+اتنين output اتنين هذا هيرجع كنتج الاستداء هذا
+
+204
+00:18:26,240 --> 00:18:29,280
+وينضف علي واحد ويعطينا output تلاتة تلاتة هذا
+
+205
+00:18:29,280 --> 00:18:32,880
+هترجع كنتج الاستداء هذا وينضف عليها واحد تعطينا
+
+206
+00:18:32,880 --> 00:18:36,400
+اربع اربع نفس الاشي وينضف عليها واحد وتعطينا خمسة
+
+207
+00:18:36,400 --> 00:18:42,880
+هذا هو ال final output okay الان خمسة هي عدد ال
+
+208
+00:18:42,880 --> 00:18:48,040
+bitsوهي ال final output خمسة هي عدد الاستدعاءات
+
+209
+00:18:48,040 --> 00:18:55,760
+زائد واحد okay الان انا
+
+210
+00:18:55,760 --> 00:19:03,900
+اعطيت input تمانتاش هذا
+
+211
+00:19:03,900 --> 00:19:09,420
+ال input تمانتاش انقول binary
+
+212
+00:19:10,670 --> 00:19:21,030
+18 سوى 5 لأن عدد مرات ال addition أو الجمع اللى
+
+213
+00:19:21,030 --> 00:19:26,550
+تمت هي عبارة عن 4 عدد مرات ال additions اللى حصلت
+
+214
+00:19:26,550 --> 00:19:31,910
+لهذا ال input اللى دخل additions لما ال input كان
+
+215
+00:19:31,910 --> 00:19:37,780
+18 اربعة additionsأحنا الآن مش معنيين بال value
+
+216
+00:19:37,780 --> 00:19:41,080
+النهائي اللى بتعطينيه ال algorithm معنيين بهذا
+
+217
+00:19:41,080 --> 00:19:46,980
+معنيين بعدد مرات ال additions اللى يش اللى بتتم فى
+
+218
+00:19:46,980 --> 00:19:49,720
+ال algorithm لإن هو اللى بدل على الزمن اللى بده
+
+219
+00:19:49,720 --> 00:19:54,060
+تستغرقه و اللى بدل على ال complexity تبعها ايش
+
+220
+00:19:54,060 --> 00:19:58,650
+علاقة الأربعة بال 18الاربعة ماهياش نص الطمنتاش
+
+221
+00:19:58,650 --> 00:20:03,610
+ماهياش يعني ماقدرش اقول انه N يعني انا بدخل N
+
+222
+00:20:03,610 --> 00:20:08,910
+بيطلع معايا N ولا N تربية ولا كده فانا بالنظر الآن
+
+223
+00:20:08,910 --> 00:20:12,530
+بقدر اقول انه هي الأربعة قريبة من ال log تبع
+
+224
+00:20:12,530 --> 00:20:19,150
+الطمنتاش log base 2 صح لأنه اتنين اص اربعة يساوي
+
+225
+00:20:19,150 --> 00:20:24,570
+ستاش مظبوط اتنين اص خمسة يساوي اتنين و تلاتين
+
+226
+00:20:24,570 --> 00:20:29,690
+اتنين و تلاتينالـ 18 وقع في النص هنا فال log تبع
+
+227
+00:20:29,690 --> 00:20:35,710
+ال 18 هو 4 وشويه فال 4 هذه هي عمليا ال floor تبع
+
+228
+00:20:35,710 --> 00:20:46,010
+ال log تبع ال 18 علاقة ال 4 بال 18 ماشي ال
+
+229
+00:20:46,010 --> 00:20:53,210
+4 هي ال log base 2 لل input هذا كلام انا الآن
+
+230
+00:20:53,210 --> 00:20:58,140
+بالنظر هيك بس احنا بدنا نصل اليمن خلال عمل تحليل
+
+231
+00:20:58,140 --> 00:21:02,360
+انه
+
+232
+00:21:02,360 --> 00:21:06,180
+عدد
+
+233
+00:21:06,180 --> 00:21:12,460
+مرات ال addition لما يبقى ال input يساوي عدد مرات
+
+234
+00:21:12,460 --> 00:21:16,430
+ال addition لما يبقى n على 2 مش n ناقص واحدصح ولا
+
+235
+00:21:16,430 --> 00:21:21,610
+لأ؟ لأن ال algorithm بتاخد ال N ومش بتنجس منها كل
+
+236
+00:21:21,610 --> 00:21:24,670
+مرة واحد و بتحسب ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+237
+00:21:24,670 --> 00:21:24,770
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+238
+00:21:24,770 --> 00:21:25,090
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+239
+00:21:25,090 --> 00:21:25,470
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+240
+00:21:25,470 --> 00:21:26,790
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+241
+00:21:26,790 --> 00:21:27,730
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+242
+00:21:27,730 --> 00:21:27,750
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+243
+00:21:27,750 --> 00:21:28,190
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل .. ل
+
+244
+00:21:28,190 --> 00:21:35,610
+.. ل .. ل .. ل .. ل .. ل .. ل .. ل ..
+
+245
+00:21:35,610 --> 00:21:41,310
+ل .. لFloor N على 2 زائد الواحد اللي هي عملية
+
+246
+00:21:41,310 --> 00:21:46,030
+الجمع يعني ايش بيتم هنا عدد مرات ال additions اللي
+
+247
+00:21:46,030 --> 00:21:52,230
+بيتم بداخلهذه زائد واحد فهذه
+
+248
+00:21:52,230 --> 00:21:56,430
+A of N على 2 هي عدد مرات الجمع اللي بيحصل هنا في
+
+249
+00:21:56,430 --> 00:22:00,530
+الاستدعاء اللي بيحصل هنا بنضيف عليه بيتم عليه
+
+250
+00:22:00,530 --> 00:22:05,390
+عملية جمع إضافية اللي هيعندنا هنا فبنصيح الـ
+
+251
+00:22:05,390 --> 00:22:09,110
+Recurrence على هذا الصيغر ان A of N بيساوي A of N
+
+252
+00:22:09,110 --> 00:22:14,930
+على 2 زائد 1 طيب متى بيوقف ال Recurrence هذا لما
+
+253
+00:22:14,930 --> 00:22:19,730
+ال input يساوي 1 لما ال input بيساوي 1 أصلا ما
+
+254
+00:22:19,730 --> 00:22:23,250
+بنعمل addition بالمرة على طول بنطلع output 1 ولا
+
+255
+00:22:23,250 --> 00:22:27,430
+لأ فإيه عدد مرات ال addition لما يكون ال input
+
+256
+00:22:27,430 --> 00:22:31,830
+قيمة واحد بيساوي Zero Zero additions
+
+257
+00:22:34,860 --> 00:22:38,640
+بنرجع تاني و نأكد ان احنا اول شغل يعني عشان اقدر
+
+258
+00:22:38,640 --> 00:22:42,140
+اصيغ ال recurrence بدي احط ايده على ايش هي ال
+
+259
+00:22:42,140 --> 00:22:44,800
+operation ال basic operation ان هنا ال basic
+
+260
+00:22:44,800 --> 00:22:49,690
+operation هي عملية الجمعهنا ماحصلش جمع فعند A of 1
+
+261
+00:22:49,690 --> 00:22:56,610
+مافيش جمع فـ 0 غير هيك قبل ما نصل لمرحلة هذه عدد
+
+262
+00:22:56,610 --> 00:23:01,210
+مراتب جمع هو عدد مراتب جمع اللي بده تم على ال
+
+263
+00:23:01,210 --> 00:23:05,450
+input اللي أصغر أو اللي قبل يعني زائد عملية جمع
+
+264
+00:23:05,450 --> 00:23:12,100
+إضافية ليه هذه العملية اللي بتتم هنا؟طيب احنا هنا
+
+265
+00:23:12,100 --> 00:23:19,840
+لسه حطينا ايدنا على اول المسار انه هذا ال
+
+266
+00:23:19,840 --> 00:23:25,920
+recurrence relation بدنا نفكها الاشكالية هنا انه
+
+267
+00:23:25,920 --> 00:23:29,840
+بقدرش استخدم ال direct .. بقدرش استخدم ال backward
+
+268
+00:23:29,840 --> 00:23:35,080
+substitution بشكل مباشرلأن السبب الرئيسي هو ان ال
+
+269
+00:23:35,080 --> 00:23:39,140
+input مش قاعد يتناقص بمقدار واحد ماقدرش اقول a of
+
+270
+00:23:39,140 --> 00:23:42,920
+n بيساوي a of n منقص واحد ال input قاعد يتناقص
+
+271
+00:23:42,920 --> 00:23:51,260
+بياش بمقدار نص ال in كل مرة بينزل نص مظبوط بقدر
+
+272
+00:23:51,260 --> 00:23:56,540
+انا اغير صيغة ال input و اجي اقول بدل ما احنا نقول
+
+273
+00:23:56,540 --> 00:24:03,840
+in نقول two to the k two to the k يعني انا بديأطلع
+
+274
+00:24:03,840 --> 00:24:10,720
+على N على أساس أنها رقم هو N مرفوع ل K يعني Powers
+
+275
+00:24:10,720 --> 00:24:18,560
+of two Powers of two ايش Powers of two ان ال K
+
+276
+00:24:18,560 --> 00:24:24,100
+بتساوي صفر مظبوط؟
+
+277
+00:24:24,100 --> 00:24:31,560
+اتنين اربعة تمانية ستة عشر عمليا انا جاعد بقول انه
+
+278
+00:24:31,560 --> 00:24:36,180
+انا بدي احسبnumber of additions بس في الحالات
+
+279
+00:24:36,180 --> 00:24:38,700
+هدولة في حالة ما ال input يكون واحد في حالة ما ال
+
+280
+00:24:38,700 --> 00:24:42,040
+input يكون اتنين اربعة تمانية طب و القيم اللي
+
+281
+00:24:42,040 --> 00:24:47,240
+مابينهم القيم اللي مابينهم اصلا واقعة يعني من
+
+282
+00:24:47,240 --> 00:24:54,580
+الأربعة للسبعة عدد مرات ال addition هو هو بعد ذلك
+
+283
+00:24:54,580 --> 00:24:59,910
+بزيت من التمانية لخمستاشر عدد مرات ال additionبس
+
+284
+00:24:59,910 --> 00:25:03,010
+أناش استفدت من الحركة هذه صار عندي K أنا بقدر
+
+285
+00:25:03,010 --> 00:25:07,050
+اناقصه بمقدار واحد كل مرة يعني بقدر اصيغ ال
+
+286
+00:25:07,050 --> 00:25:18,990
+problem بشكل هذا انه بدل ما اقول a of n صرت بقول a
+
+287
+00:25:18,990 --> 00:25:25,260
+of 2 to the ka of 2 to the k بيساوي عدد مرات الجمع
+
+288
+00:25:25,260 --> 00:25:28,960
+اللي بتتم لما يمجى ال input يساوي اتنين اص كي
+
+289
+00:25:28,960 --> 00:25:32,400
+بيساوي عدد مرات الجمع يكون ال input اتنين اص كي
+
+290
+00:25:32,400 --> 00:25:37,960
+ناقص واحد زائد واحد هذه الصيغة مكنتني ان انا
+
+291
+00:25:37,960 --> 00:25:45,320
+استخدم ال backward substitution باني عملت
+
+292
+00:25:45,320 --> 00:25:48,640
+recurrence relationship كل
+
+293
+00:25:54,910 --> 00:25:58,930
+الـ Addition كل Addition هي عبارة عن السابق السابق
+
+294
+00:25:58,930 --> 00:26:04,790
+بكي نكس واحد زائد واحد الان الـ stopping condition
+
+295
+00:26:04,790 --> 00:26:10,550
+ان ال input يساوي يساوي one one يعني two از زيرو
+
+296
+00:26:10,550 --> 00:26:14,970
+عند one بيكون عدد ال addition زيرو خلاص انا الان
+
+297
+00:26:14,970 --> 00:26:22,510
+بقدر اكمل بال backward substitution بستبدل ال k
+
+298
+00:26:22,510 --> 00:26:28,230
+يعني بلاش بقول انهA of 2 to the K بساوي A of 2 to
+
+299
+00:26:28,230 --> 00:26:32,870
+the K نقص واحد زائد واحد طيب هذا المقدار ايش يساوي
+
+300
+00:26:32,870 --> 00:26:36,090
+يساوي
+
+301
+00:26:36,090 --> 00:26:41,010
+اللي جابلهم زائد واحد اللي جابلهم A of 2 to the K
+
+302
+00:26:41,010 --> 00:26:44,810
+نقص اتنين زائد واحد لأن هذا المقدار كله الحين بدي
+
+303
+00:26:44,810 --> 00:26:50,590
+احطهم بدل هذا خياته اجه هنا اه A to the 2K نقص
+
+304
+00:26:50,590 --> 00:26:55,660
+اتنينمظبوط زائد واحد والواحد الأولاني الأصلي نزل
+
+305
+00:26:55,660 --> 00:27:04,480
+اللي هو مسار اتنين substitution آخر هذا عبارة عن a
+
+306
+00:27:04,480 --> 00:27:08,540
+to the a of two to the k نقص تلاتة زائد واحد
+
+307
+00:27:08,540 --> 00:27:13,920
+بستبدل هذا المكان هنا و بنزل الواحد الأولاني بنزل
+
+308
+00:27:13,920 --> 00:27:18,020
+الاتنين هدولة بنزلهم و بجمع عليهم الواحد بصلاة
+
+309
+00:27:18,020 --> 00:27:21,780
+تلاتة صارت ال pattern الآن واضحةلاحظوا أننا نعمل
+
+310
+00:27:21,780 --> 00:27:24,900
+الـ Backward Substitution هذا لكي نصل لل pattern
+
+311
+00:27:24,900 --> 00:27:29,500
+.. ال pattern صح؟ ال pattern هذه اللي هي بعدها
+
+312
+00:27:29,500 --> 00:27:32,760
+بقدر .. إيش؟ ال pattern هذه اللي هي بعدها بقدر
+
+313
+00:27:32,760 --> 00:27:40,650
+أختزلها إلى function .. إلى function محددةOkay انا
+
+314
+00:27:40,650 --> 00:27:44,490
+كيف الآن هاي ال pattern صح انه انا في عندي K ناقص
+
+315
+00:27:44,490 --> 00:27:49,470
+رقم و الرقم هذا هو نفس الرقم اللي برا فرمزتله ب I
+
+316
+00:27:49,470 --> 00:27:53,170
+اللي هو عدد ال literations او ال recursive course
+
+317
+00:27:53,170 --> 00:27:58,650
+عداد عداد ال recursive course ايه الان طيب هذا
+
+318
+00:27:58,650 --> 00:28:07,470
+الان انا كيف بقدر الان استبدله ب exact term انا
+
+319
+00:28:07,470 --> 00:28:13,190
+اعلمإنه لما نبقى ال input واحد بأعلم إنه ال value
+
+320
+00:28:13,190 --> 00:28:16,330
+تبعه بيكون zero يعني a of one بيساوي zero طب متى
+
+321
+00:28:16,330 --> 00:28:24,050
+هذا بيكون one لما يكون هذا صفر متى بيكون هذا صفر
+
+322
+00:28:24,050 --> 00:28:28,570
+لما يكون I بيساوي K فبستبدل
+
+323
+00:28:28,570 --> 00:28:36,630
+ال I بK في كل الصيرة K و K two to the zero زاد K
+
+324
+00:28:36,710 --> 00:28:47,710
+هذا كل المقرار الآن صار ايش هذا one خلاص
+
+325
+00:28:47,710 --> 00:28:56,150
+لان هنا zero ك هذه هي عبارة عن ال function ك لحاله
+
+326
+00:28:56,150 --> 00:28:59,350
+هي عبارة عن ال function اللى بتعبرلى عن عدد مرات
+
+327
+00:28:59,350 --> 00:29:06,000
+تنفيذ ال addition عدد مرات الجرع اللى بتحصلفي هذه
+
+328
+00:29:06,000 --> 00:29:12,120
+ال algorithm بناء على ال input وبناء على صيغة ال
+
+329
+00:29:12,120 --> 00:29:17,260
+input هذه مش صيغة ال input هذه يعني a of two to
+
+330
+00:29:17,260 --> 00:29:25,060
+the k بساوي k بس انا حطيت k هذه بس عشان احرك
+
+331
+00:29:25,060 --> 00:29:29,100
+العملية لان بدى ارجع تاني لصيغة ال n خلاص ايش
+
+332
+00:29:29,100 --> 00:29:34,540
+علاقة ال k بال n بس احنا قولنا ان ال n بساوي two
+
+333
+00:29:34,540 --> 00:29:44,530
+to the kيبقى ال K بساوي log 2 of N او لا لأ يبقى
+
+334
+00:29:44,530 --> 00:29:54,350
+أصبح تاني ا of N بساوي log 2 of N log 2 of N هذه
+
+335
+00:29:54,350 --> 00:30:00,250
+الآن هي الخطوة القبل الأخيرة الخطوة الأخيرة ان
+
+336
+00:30:00,250 --> 00:30:03,250
+اصنف هذه عبارة عن F of N
+
+337
+00:30:06,530 --> 00:30:11,530
+يبقى عن الـ function بيتعبر عن عدد مرات تنفيذ ال
+
+338
+00:30:11,530 --> 00:30:17,850
+basic operation لهذا ال algorithm log 2 of n طيب
+
+339
+00:30:17,850 --> 00:30:24,950
+ايش تصنيف هذا ال function؟ فببساطة
+
+340
+00:30:24,950 --> 00:30:35,830
+هي نفسها log of n log of n هي السقف و
+
+341
+00:30:37,380 --> 00:30:41,900
+لأنه أنا ماعندي worst case و best case فكل الأحوال
+
+342
+00:30:41,900 --> 00:30:46,740
+ال performance محصور في هذا ال function محصور في
+
+343
+00:30:46,740 --> 00:30:52,800
+هذا ال function لأنها مش بس big O of اللي أيضا هي
+
+344
+00:30:52,800 --> 00:31:00,440
+big theta صح؟ لأن big O معناته يساوي هذا ال
+
+345
+00:31:00,440 --> 00:31:03,680
+performance يساوي او اقل طب احنا عارفين انه لن يقل
+
+346
+00:31:03,680 --> 00:31:10,130
+عن هيك يعني ال functionأدائها هيجي log n دايما مش
+
+347
+00:31:10,130 --> 00:31:13,690
+انه اقصى اشي هيك لأ هو ايضا مش هيقل عن هيك فبالذات
+
+348
+00:31:13,690 --> 00:31:23,550
+مش هيزيد ولا هيقل يبقى هو big theta of log n في
+
+349
+00:31:23,550 --> 00:31:27,630
+نهاية القمر هذا المثال برضه حلنا بال direct بال
+
+350
+00:31:27,630 --> 00:31:31,490
+هذا بال backward substitution بس ماكانش direct
+
+351
+00:31:31,490 --> 00:31:35,590
+بمعنى ايش يعني مش direct بمعنى ان احنا اتقفنا على
+
+352
+00:31:36,020 --> 00:31:41,380
+المتغير تبع ال input size و عبّرنا عنه بصيفة أخرى
+
+353
+00:31:41,380 --> 00:31:48,020
+و بعدين رجعنا للصيفة فضل على أي أساس حطينا لغة 2N
+
+354
+00:31:48,020 --> 00:31:51,400
+هذي
+
+355
+00:31:51,400 --> 00:32:01,320
+احنا أصلا قلنا ان ال N input size هناخده 2SK طب
+
+356
+00:32:01,320 --> 00:32:04,220
+أيش يعني 2SK يعني ال K أيش علاقتها بال N
+
+357
+00:32:10,760 --> 00:32:17,040
+الأساس هو الـ 2 في الأساس فخلاص احنا حطينا شيلنا K
+
+358
+00:32:17,040 --> 00:32:23,660
+من السيبع هذا و حطينا مدلة N و بالتالي حطينا عيب
+
+359
+00:32:23,660 --> 00:32:28,080
+يساوي على طرف منه two to the K صح؟ على طرف التاني
+
+360
+00:32:28,080 --> 00:32:35,560
+K فشيلنا هنا هذا هو Nوشيلنا هذا اللي هو ping طبعا
+
+361
+00:32:35,560 --> 00:32:44,440
+هو login طيب
+
+362
+00:32:44,440 --> 00:32:49,980
+في ال .. إذا الأمور هي كماشية في الجزء الأخير بدنا
+
+363
+00:32:49,980 --> 00:32:54,520
+نحكي بس كلمتين في section خمسة اتنين خمسة اتنين
+
+364
+00:32:54,520 --> 00:33:00,940
+خمسة برضه recursive function recursive algorithm
+
+365
+00:33:01,900 --> 00:33:05,540
+الـ recursive algorithm هذه سيئة جدا ال
+
+366
+00:33:05,540 --> 00:33:09,560
+performance تبعها سيئ جدا يعني المسألة تنحل بدون
+
+367
+00:33:09,560 --> 00:33:13,040
+recursion و يبقى ال performance عالي جدا فأحنا
+
+368
+00:33:13,040 --> 00:33:18,000
+نطلع عليها ال algorithm هذه مش لحسنتها أو .. لأ
+
+369
+00:33:18,000 --> 00:33:22,460
+انها بس لهدف التحليل لهدف أن نشوف كيف ممكن انحسب
+
+370
+00:33:22,460 --> 00:33:26,700
+اللي هو ال performance تبعها ال fibonacci numbers
+
+371
+00:33:26,700 --> 00:33:27,660
+مرحبا عليكم
+
+372
+00:33:37,560 --> 00:33:46,940
+اللي هي مثل التالية من الأعداد كل رقم فيها يساوي
+
+373
+00:33:46,940 --> 00:33:51,300
+الرقمين اللي جابله مجموعهم خمسة مجموع تلاتة او
+
+374
+00:33:51,300 --> 00:33:58,440
+اتنين ات واحد و عشرين مجموع فعمليا اي Fibonacci
+
+375
+00:33:58,440 --> 00:34:03,950
+number هو حاصل جمعنقص واحد في الفيبوناتشي الناقص
+
+376
+00:34:03,950 --> 00:34:06,090
+واحد في الفيبوناتشي الناقص واحد في الفيبوناتشي
+
+377
+00:34:06,090 --> 00:34:09,190
+الناقص واحد في الفيبوناتشي الناقص واحد في
+
+378
+00:34:09,190 --> 00:34:11,050
+الفيبوناتشي الناقص واحد في الفيبوناتشي الناقص واحد
+
+379
+00:34:11,050 --> 00:34:16,890
+في الفيبوناتشي الناقص واحد في الفيبوناتشي الناقص
+
+380
+00:34:16,890 --> 00:34:19,690
+واحد في الفيبوناتشي الناقص واحد في الفيبوناتشي
+
+381
+00:34:19,690 --> 00:34:20,310
+الناقص واحد في الفيبوناتشي الناقص واحد في
+
+382
+00:34:20,310 --> 00:34:21,130
+الفيبوناتشي الناقص واحد في الفيبوناتشي الناقص واحد
+
+383
+00:34:21,130 --> 00:34:30,860
+في الفيبوناتشي الناقص واحد في الفيبوناتشي1 2 3 4 5
+
+384
+00:34:30,860 --> 00:34:37,360
+6 7 لما
+
+385
+00:34:37,360 --> 00:34:41,360
+انا بدى اجيب ال
+
+386
+00:34:41,360 --> 00:34:49,720
+input يعني f of 7 يساوي 13 فهذا المقصود في finding
+
+387
+00:34:49,720 --> 00:34:55,740
+the nth Fibonacci numberzero of of واحد واحد of of
+
+388
+00:34:55,740 --> 00:35:01,860
+اتنين واحد of of تلاتة اتنين المهم ال
+
+389
+00:35:01,860 --> 00:35:07,880
+algorithm ممكن انا اتخيل قدت طرق لل .. ممكن
+
+390
+00:35:07,880 --> 00:35:10,280
+recursive algorithm هنشوفها كمان شوية و ممكن non
+
+391
+00:35:10,280 --> 00:35:15,080
+recursive و ممكن explicit formula يعني في formula
+
+392
+00:35:15,080 --> 00:35:21,080
+بحسب على طول الحسبة و بقولي اغلبة من الكلامالـ non
+
+393
+00:35:21,080 --> 00:35:23,400
+recursive مثلا السبب اللي بتاع الـ non recursive
+
+394
+00:35:23,400 --> 00:35:28,000
+ان انا بقاعد يبقى بعمل loop بقول
+
+395
+00:35:28,000 --> 00:35:33,920
+انت بتقولي سبعة طيب انا بدأ ابدأ من واحد و اجمع
+
+396
+00:35:33,920 --> 00:35:38,180
+عليه اتنين و اجمع لحد ات مقصل يعني اعمل loop لحد
+
+397
+00:35:38,180 --> 00:35:43,520
+ات مقصل لرقم سبعة و الجمالي انها ايه بيطلحوا ال
+
+398
+00:35:43,520 --> 00:35:47,480
+output و ممكن نبدأ الكلام نسوي في array عبي ال
+
+399
+00:35:47,480 --> 00:35:59,800
+arrayمن واحد إلى ان سبعة و اجمعهم هذا طبعا هذا
+
+400
+00:35:59,800 --> 00:36:08,080
+zero و هذا one لا ببدأ هنا اجمع ب loop بجمع كل
+
+401
+00:36:08,080 --> 00:36:14,540
+اتنين بحط منهم كل اتنين خلاص لما نوصل لرقم اللي
+
+402
+00:36:14,540 --> 00:36:18,480
+انت طالبه توقف و طلع لك ال sum النهائي اللي طلع
+
+403
+00:36:18,480 --> 00:36:23,570
+معاكهنا في ريكرجن مافيش ريكرجن جرد array عبيتها
+
+404
+00:36:23,570 --> 00:36:27,750
+تراكمي لما وصلت لها ال count ال n اللي انت بتاكيها
+
+405
+00:36:27,750 --> 00:36:31,450
+وطلعت لها وممكن حتى ماحتاجش array بالمرة فستخدم
+
+406
+00:36:31,450 --> 00:36:37,330
+two variables أسمي واحد f of n واحد والتاني fn وn
+
+407
+00:36:37,330 --> 00:36:45,830
+اتنين وfn اجي اعمل برضه loop اعبي هدولة f واحد ب
+
+408
+00:36:45,830 --> 00:36:52,700
+zeroخلّيني أقول نعم f1 في 0 و f2 في 1 و أعمل loop
+
+409
+00:36:52,700 --> 00:36:59,400
+كل مرة أجمع و النتج أحطه بدل السابق و أجمع يعني
+
+410
+00:36:59,400 --> 00:37:03,580
+حتى ماحتاجش ال ray فهذا non recursive algorithm
+
+411
+00:37:03,580 --> 00:37:07,880
+لمعنجة ال problem هنا و في ال explicit formula هي
+
+412
+00:37:07,880 --> 00:37:11,500
+توفيه هنا في explicit formula وين قدام بتقول لو
+
+413
+00:37:11,500 --> 00:37:16,450
+أنت بدك تجمع لو بدك تحسب ال f في أي nهو اقود في
+
+414
+00:37:16,450 --> 00:37:21,450
+المعادلة هادى على طول اقود في المعادلة هادى على
+
+415
+00:37:21,450 --> 00:37:27,850
+طول و الناقش هيطلع على عدد عدد صحيح على طول هذا ال
+
+416
+00:37:27,850 --> 00:37:34,230
+phi هذا قيمته هذا ال constant وهذا ال phi cap هذا
+
+417
+00:37:34,230 --> 00:37:39,950
+قيمته و على طول احسب طبعا الان سواء انا عملت ب
+
+418
+00:37:39,950 --> 00:37:42,090
+array او انا عملت بدون array او انا عملت بالطريقة
+
+419
+00:37:42,090 --> 00:37:46,050
+هادىالـ algorithms هذه التلاتة أو الطرق التلاتة
+
+420
+00:37:46,050 --> 00:37:48,570
+هذه كل واحدة ممكن تختلفوا .. بيختلفوا أكيد عن بعض
+
+421
+00:37:48,570 --> 00:37:52,370
+في السرعة ربما هذا عشان فيها كسور و كده تاخد وقت
+
+422
+00:37:52,370 --> 00:37:57,270
+أعلى لإنه بده تعمل multiplication و هذا ده إيش أو
+
+423
+00:37:57,270 --> 00:38:01,090
+تعمل power راح أقول إنه هنا هذا بده أرفعها الرقم
+
+424
+00:38:01,090 --> 00:38:04,930
+هذا بده أرفع أس و ليه مثلا سبعة أس سبعة بده أضربه
+
+425
+00:38:04,930 --> 00:38:07,830
+في المرة نفسه سبعة مرات عاملتي تضرب ال real
+
+426
+00:38:07,830 --> 00:38:12,190
+numbers بتاخد وجهت فمن طريقة لطريقة ممكن تختلفوا
+
+427
+00:38:14,030 --> 00:38:17,990
+الطريقة الرابعة جاي هنا رقم أربعة ل matrix power
+
+428
+00:38:17,990 --> 00:38:24,630
+ال matrix power هذه فيها نصيغة اللي هي انه f of n
+
+429
+00:38:24,630 --> 00:38:34,130
+عندى matrix f of n فهنا f of n مقص واحد f of n f
+
+430
+00:38:34,130 --> 00:38:41,690
+of n f of n زي واحد يسوي زي واحد واحد واحد ثاني
+
+431
+00:38:41,690 --> 00:38:47,700
+موجود في الكتاببمعنى ان انا بدي احسب ال F of N لأي
+
+432
+00:38:47,700 --> 00:38:52,600
+رقم N بقول مثلا 7 بدي اجيب المصفوفة هذه و اضربها
+
+433
+00:38:52,600 --> 00:39:00,760
+في نفسها ارفعها تقرير 7 يعني F of 7 ساوي هذا
+
+434
+00:39:00,760 --> 00:39:07,980
+المصفوفة و ارفعها إلى 7 و الناتج ناتج الكلام هذا
+
+435
+00:39:07,980 --> 00:39:11,160
+ابص عليه و اخد ال element هذا او ال element هذا
+
+436
+00:39:15,370 --> 00:39:21,390
+هو ال output، بعد ما أرفع المصفوفة، يعني أضربها في
+
+437
+00:39:21,390 --> 00:39:26,930
+نفسها سبع مرات وهذا ألغوريثم أخرى، وبرضه سرعتها
+
+438
+00:39:26,930 --> 00:39:30,890
+بتعتمد على قدرتها في تنفيذ ال matrix
+
+439
+00:39:30,890 --> 00:39:35,680
+multiplication هذا، هل هتعمل بسرعة أو لا؟اللي
+
+440
+00:39:35,680 --> 00:39:38,520
+بقوله أنا أسوأ شيء اللي هو هذا الـ Recursive
+
+441
+00:39:38,520 --> 00:39:41,820
+Algorithm الـ Recursive Algorithm مش بيسوي بتروح
+
+442
+00:39:41,820 --> 00:39:46,120
+حياته حسب بناء على هذه الصيغة اللي انا .. بناء على
+
+443
+00:39:46,120 --> 00:39:53,220
+التعريف مش هاللي بقولها هي التعريف بناء
+
+444
+00:39:53,220 --> 00:39:56,740
+على التعريف هذا بتصيغ ال algorithm على هذا الشكل
+
+445
+00:39:56,740 --> 00:40:01,780
+إنه إذا الرقم less than or equal one return n يعني
+
+446
+00:40:01,780 --> 00:40:05,730
+إذا هو ال zero أو واحدماذا يوجد في بناتشي تبع الـ
+
+447
+00:40:05,730 --> 00:40:09,570
+0؟ هو Zero ماذا يوجد في بناتشي تبع الواحد؟ هو واحد
+
+448
+00:40:09,570 --> 00:40:16,770
+بعدها نبدأ نجمها المهم
+
+449
+00:40:16,770 --> 00:40:21,830
+إذا هو أقل من واحد فإذا
+
+450
+00:40:21,830 --> 00:40:29,170
+هو 00 وإذا هو 11 فreturn in نفسها بعد الواحد بختلف
+
+451
+00:40:29,170 --> 00:40:33,810
+الأمروبنبدأ نحسب إيش ال recursive algorithm
+
+452
+00:40:33,810 --> 00:40:38,770
+بتستخدمه تستخدم نفسها على N نقص واحد عشان تحسب
+
+453
+00:40:38,770 --> 00:40:45,970
+الفيبوناتشي تبع N نقص واحد وتجمع عليه الفيبوناتشي
+
+454
+00:40:45,970 --> 00:40:55,930
+تبع N نقصة كمان بس
+
+455
+00:40:55,930 --> 00:41:00,390
+نبدأ على أول الطريق و المحاضرة جايشهاأول الطريقة
+
+456
+00:41:00,390 --> 00:41:03,370
+هي أننا سنقوم بصيغة الـ Recurrence Relationship
+
+457
+00:41:03,370 --> 00:41:08,610
+الـ Recurrence Relationship بتور صد عدد مرات تنفيذ
+
+458
+00:41:08,610 --> 00:41:11,830
+الـ Basic Operation الـ Basic Operation عندنا هنا
+
+459
+00:41:11,830 --> 00:41:14,150
+بناء على الـ Algorithm ليس من المدخل، بناء على الـ
+
+460
+00:41:14,150 --> 00:41:18,450
+Algorithm هي عادة الجمعة الـ Addition هذا اللي
+
+461
+00:41:18,450 --> 00:41:23,090
+بيحصل هنا طب أقدر أقول أن الـ Addition بساوي ل
+
+462
+00:41:23,090 --> 00:41:27,570
+input for size N بساوي عدد مرات الجمعة اللي بتحصل
+
+463
+00:41:27,570 --> 00:41:31,860
+هنازاد عدد مرات الجامعة اللي بتحصل هنا زائد واحد
+
+464
+00:41:31,860 --> 00:41:37,840
+عدد مرات الجامعة اللي بتحصل على input a-1 زائد عدد
+
+465
+00:41:37,840 --> 00:41:40,800
+مرات الجامعة اللي بتحصل على input a-2 زائد واحد
+
+466
+00:41:40,800 --> 00:41:45,940
+اللي هي لما أخد ال output هدول و أجمحهم مع بعض هذا
+
+467
+00:41:45,940 --> 00:41:51,840
+الأمر بيجف عند two stopping points اللي هو أن
+
+468
+00:41:51,840 --> 00:41:56,020
+الكون a بساوة zero لأن معلومة أن output عندها عدد
+
+469
+00:41:56,020 --> 00:41:59,890
+مرات الجامعة صفرو برضه عند a واحد عدد مرات الجامع
+
+470
+00:41:59,890 --> 00:42:04,410
+صفر صفر صح لأنه لو يكون input zero او واحد مابعمل
+
+471
+00:42:04,410 --> 00:42:08,110
+جامع بالمرة مابعمل return على طول ال value اللي
+
+472
+00:42:08,110 --> 00:42:16,230
+دخل هو اللي بطلع صح صح طبعا ال zero هي عدد مرات
+
+473
+00:42:16,230 --> 00:42:22,250
+الجامع مش ال output اتلخطوش خلاص من هنا انا مطلوب
+
+474
+00:42:22,250 --> 00:42:30,370
+ان اعمل تحليل لأحولها لـ Recurrent relation إلى
+
+475
+00:42:30,370 --> 00:42:36,250
+exact function المحاضرة القادمة ان شاء الله بتطلع
+
+476
+00:42:36,250 --> 00:42:38,350
+على الطريق
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/tW3OAAxN-0Y_raw.json b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/tW3OAAxN-0Y_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..6ff77fc6a8c918cc31ff10373dd6e86ce8698d76
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/tW3OAAxN-0Y_raw.json
@@ -0,0 +1 @@
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فانتر بيه انتر بيه مش احسن من ان لوج ان ماشي طب واش الفادة يعني انا عملت trade-off وفي الآخر طلعت يعني خسرتني space وخسرتني وجهة كمان ماشي هي مش كويسة هذه ال algorithm الغرض منها اني نفهم اللي هو فكرة ال trade-off", "tokens": [7649, 16472, 2655, 2288, 4724, 1829, 3224, 20666, 19913, 3555, 9566, 44650, 2655, 6027, 10632, 39894, 9381, 17082, 2288, 6225, 3215, 3215, 9154, 32748, 13063, 9307, 28242, 11778, 13063, 3660, 39894, 9381, 17082, 2288, 18871, 13672, 1829, 39182, 11296, 6156, 7649, 2655, 2288, 4724, 1829, 3224, 16472, 2655, 2288, 4724, 1829, 3224, 37893, 1975, 5016, 3794, 1863, 9154, 16472, 5296, 29245, 16472, 3714, 33599, 1829, 23032, 3555, 4032, 33599, 27188, 18513, 3660, 37495, 22653, 1975, 8315, 6225, 42213, 2655, 4923, 12, 4506, 4032, 41185, 6024, 95, 34740, 23032, 1211, 34268, 37495, 22653, 16490, 3794, 43500, 22653, 1901, 4032, 9778, 3794, 43500, 22653, 49610, 3224, 3660, 9122, 2304, 7649, 3714, 33599, 1829, 39896, 37893, 9122, 45865, 3794, 3660, 29538, 2423, 9284, 6024, 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896.28, "end": 923.86, "text": "و لكن الاختلاف ان ال values اللي معايا اللي بتعملهم sorting هاي عندي ال values ال input 13,11,12 بتعملهم sorting طبعا ايش ال output النهائي هيكون انه اولا حد تتوجه ال 11 و بعدين ال 12 مكررة تلت مرات و لا لا هاي ال 11 بعدين ال 12 بعدين ال 13 مكررة مرتين", "tokens": [2407, 44381, 2423, 47283, 2655, 15040, 5172, 16472, 2423, 4190, 13672, 1829, 20449, 995, 25528, 13672, 1829, 39894, 25957, 1211, 16095, 32411, 8032, 47302, 18871, 16254, 2423, 4190, 2423, 4846, 3705, 11, 5348, 11, 4762, 39894, 25957, 1211, 16095, 32411, 23032, 3555, 3615, 995, 1975, 1829, 8592, 2423, 5598, 28239, 3224, 16373, 1829, 8032, 1829, 30544, 16472, 3224, 1975, 12610, 995, 11331, 3215, 6055, 2655, 29245, 3224, 2423, 2975, 4032, 39182, 9957, 2423, 2272, 3714, 37983, 25720, 6055, 1211, 2655, 3714, 2288, 9307, 4032, 20193, 20193, 8032, 47302, 2423, 2975, 39182, 9957, 2423, 2272, 39182, 9957, 2423, 3705, 3714, 37983, 25720, 3714, 43500, 9957], "avg_logprob": -0.2592261904761905, 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" هاي", "probability": 0.524658203125}, {"start": 902.2, "end": 902.44, "word": " عندي", "probability": 0.786865234375}, {"start": 902.44, "end": 902.56, "word": " ال", "probability": 0.96826171875}, {"start": 902.56, "end": 902.82, "word": " values", "probability": 0.58056640625}, {"start": 902.82, "end": 902.96, "word": " ال", "probability": 0.69482421875}, {"start": 902.96, "end": 903.34, "word": " input", "probability": 0.9853515625}, {"start": 903.34, "end": 904.3, "word": " 13", "probability": 0.35986328125}, {"start": 904.3, "end": 904.82, "word": ",11", "probability": 0.5006103515625}, {"start": 904.82, "end": 905.1, "word": ",12", "probability": 0.941162109375}, {"start": 905.1, "end": 905.56, "word": " بتعملهم", "probability": 0.9342041015625}, {"start": 905.56, "end": 905.94, "word": " sorting", "probability": 0.947265625}, {"start": 905.94, "end": 906.3, "word": " طبعا", "probability": 0.96435546875}, {"start": 906.3, "end": 906.46, "word": " ايش", "probability": 0.8601888020833334}, {"start": 906.46, "end": 906.58, "word": " ال", "probability": 0.97509765625}, {"start": 906.58, "end": 906.98, "word": " output", "probability": 0.986328125}, {"start": 906.98, "end": 907.86, "word": " النهائي", "probability": 0.9429931640625}, {"start": 907.86, "end": 908.38, "word": " هيكون", "probability": 0.6935221354166666}, {"start": 908.38, "end": 909.3, "word": " انه", "probability": 0.60986328125}, {"start": 909.3, "end": 909.56, "word": " اولا", "probability": 0.7249348958333334}, {"start": 909.56, "end": 909.9, "word": " حد", "probability": 0.857421875}, {"start": 909.9, "end": 910.68, "word": " تتوجه", "probability": 0.42327880859375}, {"start": 910.68, "end": 910.74, "word": " ال", "probability": 0.76416015625}, {"start": 910.74, "end": 911.22, "word": " 11", "probability": 0.88427734375}, {"start": 911.22, "end": 912.68, "word": " و", "probability": 0.50244140625}, {"start": 912.68, "end": 913.14, "word": " بعدين", "probability": 0.949462890625}, {"start": 913.14, "end": 913.28, "word": " ال", "probability": 0.90625}, {"start": 913.28, "end": 913.7, "word": " 12", "probability": 0.96630859375}, {"start": 913.7, "end": 914.24, "word": " مكررة", "probability": 0.9259440104166666}, {"start": 914.24, "end": 914.54, "word": " تلت", "probability": 0.8391927083333334}, {"start": 914.54, "end": 915.16, "word": " مرات", "probability": 0.9778645833333334}, {"start": 915.16, "end": 917.0, "word": " و", "probability": 0.467041015625}, {"start": 917.0, "end": 917.08, "word": " لا", "probability": 0.65380859375}, {"start": 917.08, "end": 917.3, "word": " لا", "probability": 0.80517578125}, {"start": 917.3, "end": 918.46, "word": " هاي", "probability": 0.6177978515625}, {"start": 918.46, "end": 918.58, "word": " ال", "probability": 0.94384765625}, {"start": 918.58, "end": 919.08, "word": " 11", "probability": 0.98193359375}, {"start": 919.08, "end": 919.54, "word": " بعدين", "probability": 0.6978759765625}, {"start": 919.54, "end": 919.64, "word": " ال", "probability": 0.935546875}, {"start": 919.64, "end": 920.16, "word": " 12", "probability": 0.9716796875}, {"start": 920.16, "end": 921.74, "word": " بعدين", "probability": 0.744384765625}, {"start": 921.74, "end": 921.86, "word": " ال", "probability": 0.8310546875}, {"start": 921.86, "end": 922.26, "word": " 13", "probability": 0.96826171875}, {"start": 922.26, "end": 923.36, "word": " مكررة", "probability": 0.9763997395833334}, {"start": 923.36, "end": 923.86, "word": " مرتين", "probability": 0.99072265625}], "temperature": 1.0}, {"id": 34, "seek": 95069, "start": 925.73, "end": 950.69, "text": "هذا الـ output النهائي لأن الـ Algorithm اللي بنطلع عليها الآن قالية عملها بتشترط إنه العناصر هدولة معروف ال range تبعهم محدود يعني كيف يعني هنا قولي مثلا إحنا بدنا نعمل ترتيب لطلاب الجامعة على أساس العمر", "tokens": [3224, 15730, 2423, 39184, 5598, 28239, 3224, 16373, 1829, 5296, 33456, 2423, 39184, 35014, 6819, 76, 13672, 1829, 44945, 9566, 1211, 3615, 25894, 11296, 6024, 48506, 12174, 6027, 10632, 6225, 42213, 11296, 39894, 8592, 2655, 2288, 9566, 36145, 3224, 18863, 1863, 33546, 2288, 8032, 3215, 12610, 3660, 20449, 32887, 5172, 2423, 3613, 6055, 3555, 3615, 16095, 3714, 24401, 23328, 37495, 22653, 9122, 33911, 37495, 22653, 34105, 12174, 12610, 1829, 50113, 15040, 11933, 5016, 8315, 47525, 8315, 8717, 25957, 1211, 6055, 2288, 31371, 3555, 5296, 9566, 15040, 3555, 25724, 10943, 27884, 15844, 5551, 3794, 32277, 18863, 29973], "avg_logprob": -0.18605025773195877, "compression_ratio": 1.6221198156682028, "no_speech_prob": 0.0, "words": [{"start": 925.73, "end": 926.01, "word": "هذا", "probability": 0.87060546875}, {"start": 926.01, "end": 926.13, "word": " الـ", "probability": 0.613525390625}, {"start": 926.13, "end": 926.37, "word": " output", "probability": 0.865234375}, {"start": 926.37, "end": 927.15, "word": " النهائي", "probability": 0.9716796875}, {"start": 927.15, "end": 928.87, "word": " لأن", "probability": 0.567138671875}, {"start": 928.87, "end": 929.03, "word": " الـ", "probability": 0.69140625}, {"start": 929.03, "end": 929.51, "word": " Algorithm", "probability": 0.7782389322916666}, {"start": 929.51, "end": 929.97, "word": " اللي", "probability": 0.912353515625}, {"start": 929.97, "end": 930.43, "word": " بنطلع", "probability": 0.74774169921875}, {"start": 930.43, "end": 930.65, "word": " عليها", "probability": 0.8759765625}, {"start": 930.65, "end": 931.05, "word": " الآن", "probability": 0.90673828125}, {"start": 931.05, "end": 931.73, "word": " قالية", "probability": 0.5357259114583334}, {"start": 931.73, "end": 932.33, "word": " عملها", "probability": 0.9874674479166666}, {"start": 932.33, "end": 935.69, "word": " بتشترط", "probability": 0.84072265625}, {"start": 935.69, "end": 936.39, "word": " إنه", "probability": 0.4366455078125}, {"start": 936.39, "end": 938.27, "word": " العناصر", "probability": 0.850830078125}, {"start": 938.27, "end": 938.95, "word": " هدولة", "probability": 0.82373046875}, {"start": 938.95, "end": 940.09, "word": " معروف", "probability": 0.9747721354166666}, {"start": 940.09, "end": 940.35, "word": " ال", "probability": 0.74609375}, {"start": 940.35, "end": 940.65, "word": " range", "probability": 0.865234375}, {"start": 940.65, "end": 941.23, "word": " تبعهم", "probability": 0.9439697265625}, {"start": 941.23, "end": 941.89, "word": " محدود", "probability": 0.9794921875}, {"start": 941.89, "end": 942.21, "word": " يعني", "probability": 0.89404296875}, {"start": 942.21, "end": 942.69, "word": " كيف", "probability": 0.95361328125}, {"start": 942.69, "end": 943.55, "word": " يعني", "probability": 0.7147216796875}, {"start": 943.55, "end": 943.89, "word": " هنا", "probability": 0.8935546875}, {"start": 943.89, "end": 945.07, "word": " قولي", "probability": 0.7727864583333334}, {"start": 945.07, "end": 945.41, "word": " مثلا", "probability": 0.97314453125}, {"start": 945.41, "end": 945.79, "word": " إحنا", "probability": 0.7954915364583334}, {"start": 945.79, "end": 946.11, "word": " بدنا", "probability": 0.961669921875}, {"start": 946.11, "end": 946.73, "word": " نعمل", "probability": 0.9977213541666666}, {"start": 946.73, "end": 947.95, "word": " ترتيب", "probability": 0.9688720703125}, {"start": 947.95, "end": 948.97, "word": " لطلاب", "probability": 0.9425048828125}, {"start": 948.97, "end": 949.55, "word": " الجامعة", "probability": 0.9900716145833334}, {"start": 949.55, "end": 949.95, "word": " على", "probability": 0.93115234375}, {"start": 949.95, "end": 950.25, "word": " أساس", "probability": 0.97216796875}, {"start": 950.25, "end": 950.69, "word": " العمر", "probability": 0.932373046875}], "temperature": 1.0}, {"id": 35, "seek": 97439, "start": 951.55, "end": 974.39, "text": "احنا عارفين ان عمار طلاب الجامعة تتروح من ايش اقل اشي 16 تخلي واحد يبقى فالتا وداخل بدري ومتخرج على ال 16 فيه بس لأ تمام جولي 17 ونشمل طلاب المجلس والدكتوراه فيجوه لعند 60 خلي يبقى عندنا طلاب هذا", "tokens": [995, 5016, 8315, 6225, 9640, 5172, 9957, 16472, 6225, 2304, 9640, 23032, 15040, 3555, 25724, 10943, 27884, 6055, 2655, 32887, 5016, 9154, 1975, 1829, 8592, 1975, 4587, 1211, 1975, 8592, 1829, 3165, 6055, 9778, 20292, 36764, 24401, 7251, 3555, 4587, 7578, 6156, 6027, 2655, 995, 4032, 3215, 47283, 1211, 47525, 16572, 4032, 2304, 2655, 34740, 7435, 15844, 2423, 3165, 8978, 3224, 4724, 3794, 5296, 10721, 46811, 10943, 10874, 12610, 1829, 3282, 4032, 1863, 8592, 42213, 23032, 15040, 3555, 9673, 7435, 1211, 3794, 16070, 3215, 4117, 2655, 13063, 40294, 8978, 7435, 2407, 3224, 5296, 3615, 41260, 4060, 16490, 20292, 7251, 3555, 4587, 7578, 43242, 8315, 23032, 15040, 3555, 23758], "avg_logprob": -0.2597477195459768, "compression_ratio": 1.7323232323232323, "no_speech_prob": 0.0, "words": [{"start": 951.55, "end": 951.75, "word": "احنا", "probability": 0.7021687825520834}, {"start": 951.75, "end": 952.23, "word": " عارفين", "probability": 0.9903564453125}, {"start": 952.23, "end": 952.37, "word": " ان", "probability": 0.73291015625}, {"start": 952.37, "end": 952.75, "word": " عمار", "probability": 0.8572591145833334}, {"start": 952.75, "end": 953.09, "word": " طلاب", "probability": 0.9474283854166666}, {"start": 953.09, "end": 953.41, "word": " الجامعة", "probability": 0.9832356770833334}, {"start": 953.41, "end": 953.87, "word": " تتروح", "probability": 0.8798828125}, {"start": 953.87, "end": 954.07, "word": " من", "probability": 0.98193359375}, {"start": 954.07, "end": 954.37, "word": " ايش", "probability": 0.7342122395833334}, {"start": 954.37, "end": 954.71, "word": " اقل", "probability": 0.701904296875}, {"start": 954.71, "end": 955.09, "word": " اشي", "probability": 0.7771809895833334}, {"start": 955.09, "end": 956.11, "word": " 16", "probability": 0.359375}, {"start": 956.11, "end": 956.91, "word": " تخلي", "probability": 0.7648111979166666}, {"start": 956.91, "end": 957.35, "word": " واحد", "probability": 0.9873046875}, {"start": 957.35, "end": 957.93, "word": " يبقى", "probability": 0.9110107421875}, {"start": 957.93, "end": 958.49, "word": " فالتا", "probability": 0.6629638671875}, {"start": 958.49, "end": 959.35, "word": " وداخل", "probability": 0.9100341796875}, {"start": 959.35, "end": 959.99, "word": " بدري", "probability": 0.953125}, {"start": 959.99, "end": 960.87, "word": " ومتخرج", "probability": 0.86748046875}, {"start": 960.87, "end": 960.99, "word": " على", "probability": 0.70068359375}, {"start": 960.99, "end": 961.11, "word": " ال", "probability": 0.445556640625}, {"start": 961.11, "end": 961.57, "word": " 16", "probability": 0.77392578125}, {"start": 961.57, "end": 962.45, "word": " فيه", "probability": 0.49658203125}, {"start": 962.45, "end": 962.97, "word": " بس", "probability": 0.50262451171875}, {"start": 962.97, "end": 963.43, "word": " لأ", "probability": 0.635986328125}, {"start": 963.43, "end": 964.39, "word": " تمام", "probability": 0.92138671875}, {"start": 964.39, "end": 964.83, "word": " جولي", "probability": 0.8372395833333334}, {"start": 964.83, "end": 965.27, "word": " 17", "probability": 0.8056640625}, {"start": 965.27, "end": 966.95, "word": " ونشمل", "probability": 0.9476318359375}, {"start": 966.95, "end": 967.25, "word": " طلاب", "probability": 0.9319661458333334}, {"start": 967.25, "end": 967.61, "word": " المجلس", "probability": 0.8404541015625}, {"start": 967.61, "end": 968.47, "word": " والدكتوراه", "probability": 0.8617757161458334}, {"start": 968.47, "end": 969.09, "word": " فيجوه", "probability": 0.64923095703125}, {"start": 969.09, "end": 969.69, "word": " لعند", "probability": 0.8380533854166666}, {"start": 969.69, "end": 970.73, "word": " 60", "probability": 0.94384765625}, {"start": 970.73, "end": 972.23, "word": " خلي", "probability": 0.630126953125}, {"start": 972.23, "end": 972.69, "word": " يبقى", "probability": 0.7725830078125}, {"start": 972.69, "end": 972.97, "word": " عندنا", "probability": 0.7119140625}, {"start": 972.97, "end": 973.41, "word": " طلاب", "probability": 0.93408203125}, {"start": 973.41, "end": 974.39, "word": " هذا", "probability": 0.68310546875}], "temperature": 1.0}, {"id": 36, "seek": 100026, "start": 975.12, "end": 1000.26, "text": "من ستة عشر إلى ستين وكلها integers لأن الأعمار بنا ناخدهم على integers فهذا ال range محدود فلما يتيجي تقولي ارتبلي طلاب الجامعة حسب العمر يبقى انا عارف ان الأعمار هتبقى من الست عشر إلى الستين فبقدر استخدم هذا ال algorithm هذا ال algorithm ايش بيسوي اول حاجة بيسويها بيسوي ال frequency table", "tokens": [27842, 8608, 2655, 3660, 6225, 46309, 30731, 8608, 2655, 9957, 4032, 28820, 11296, 41674, 5296, 33456, 16247, 25957, 9640, 4724, 8315, 8717, 47283, 3215, 16095, 15844, 41674, 6156, 3224, 15730, 2423, 3613, 3714, 24401, 23328, 6156, 1211, 15042, 7251, 31371, 7435, 1829, 6055, 39648, 1829, 1975, 43500, 3555, 20292, 23032, 15040, 3555, 25724, 10943, 27884, 11331, 35457, 18863, 29973, 7251, 3555, 4587, 7578, 1975, 8315, 6225, 9640, 5172, 16472, 16247, 25957, 9640, 8032, 2655, 3555, 4587, 7578, 9154, 21136, 2655, 6225, 46309, 30731, 21136, 2655, 9957, 6156, 3555, 28543, 2288, 44713, 9778, 40448, 23758, 2423, 9284, 23758, 2423, 9284, 1975, 1829, 8592, 4724, 1829, 3794, 45865, 1975, 12610, 11331, 26108, 3660, 4724, 1829, 3794, 45865, 11296, 4724, 1829, 3794, 45865, 2423, 7893, 3199], "avg_logprob": -0.272429441732745, "compression_ratio": 1.85546875, "no_speech_prob": 0.0, "words": [{"start": 975.12, "end": 975.36, "word": "من", "probability": 0.861328125}, {"start": 975.36, "end": 975.66, "word": " ستة", "probability": 0.5526123046875}, {"start": 975.66, "end": 975.82, "word": " عشر", "probability": 0.830078125}, {"start": 975.82, "end": 975.92, "word": " إلى", "probability": 0.3720703125}, {"start": 975.92, "end": 976.52, "word": " ستين", "probability": 0.9288736979166666}, {"start": 976.52, "end": 977.22, "word": " وكلها", "probability": 0.720703125}, {"start": 977.22, "end": 977.7, "word": " integers", "probability": 0.55078125}, {"start": 977.7, "end": 978.54, "word": " لأن", "probability": 0.735595703125}, {"start": 978.54, "end": 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ايش؟", "tokens": [3224, 15730, 4724, 43042, 3224, 30767, 1829, 2423, 1207, 10225, 8608, 2304, 1829, 11296, 4724, 43042, 3224, 2423, 7893, 10225, 1975, 1829, 8592, 2423, 7893, 10225, 29538, 22807, 16472, 28242, 25062, 32640, 9673, 33753, 42213, 3660, 13672, 1829, 39896, 9154, 3165, 5296, 4060, 34105, 1975, 5016, 8315, 25062, 32640, 39896, 4724, 3794, 9154, 2423, 2975, 5296, 3705, 28242, 25062, 32640, 9673, 33753, 42213, 3660, 4724, 13546, 2407, 5016, 4724, 1829, 7435, 1829, 4724, 33911, 43042, 11296, 8978, 2423, 10225, 4032, 4724, 1829, 4386, 4032, 1975, 1829, 8592, 22807], "avg_logprob": -0.21207865570368392, "compression_ratio": 1.8105263157894738, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1001.23, "end": 1001.53, "word": "هذا", "probability": 0.87890625}, {"start": 1001.53, "end": 1001.97, "word": " برضه", "probability": 0.8072916666666666}, {"start": 1001.97, "end": 1002.53, "word": " زي", "probability": 0.783447265625}, {"start": 1002.53, "end": 1003.05, "word": 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بيعمل increment لخانة العمر هذا يعني عمره مثلا اتنين و عشرين بيروح على خانة الاتنين و عشرين هنا و بضيف واحد اللي بعده تلقاه فبيطلع عندي هنا ال frequency و عدد تكرار كل قيمة", "tokens": [2407, 4724, 1829, 9778, 8592, 15844, 2423, 4846, 18871, 16254, 5296, 3615, 46309, 9957, 5551, 46538, 23032, 6027, 3555, 28242, 23032, 6027, 3555, 9122, 3215, 3224, 6225, 29973, 3224, 4032, 4724, 13546, 2407, 5016, 4724, 1829, 25957, 1211, 26200, 5296, 9778, 7649, 3660, 18863, 29973, 23758, 37495, 22653, 6225, 29973, 3224, 50113, 15040, 1975, 2655, 1863, 9957, 4032, 6225, 46309, 9957, 4724, 13546, 2407, 5016, 15844, 16490, 7649, 3660, 2423, 9307, 1863, 9957, 4032, 6225, 46309, 9957, 34105, 4032, 4724, 11242, 33911, 36764, 24401, 13672, 1829, 39182, 3224, 6055, 1211, 4587, 40294, 6156, 21292, 9566, 1211, 3615, 18871, 16254, 34105, 2423, 7893, 4032, 6225, 3215, 3215, 6055, 37983, 9640, 28242, 12174, 32640, 3660], "avg_logprob": -0.1980537340829247, "compression_ratio": 1.8925233644859814, "no_speech_prob": 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1101.37, "text": "الـ Value هذا الـ 1 هو الـ frequency تبعت الـ 11 زائد ما قبلها، أيش ما قبلها مافيش شي، صفر الـ Value 4 هو الـ frequency تبعت الـ 12 زائد التراكمي اللي قبلها، 1 زائد 3 أربعة الـ 6 دي هي ال frequency تبعت الـ 13 زائد التراكمي السابق، ما قبله، اللي هو الأربعة، 4 زائد 2، 6", "tokens": [6027, 39184, 39352, 23758, 2423, 39184, 502, 31439, 2423, 39184, 7893, 6055, 3555, 34268, 2423, 39184, 2975, 30767, 16373, 3215, 19446, 12174, 36150, 11296, 12399, 36632, 8592, 19446, 12174, 36150, 11296, 19446, 41185, 8592, 44049, 12399, 20328, 5172, 2288, 2423, 39184, 39352, 1017, 31439, 2423, 39184, 7893, 6055, 3555, 34268, 2423, 39184, 2272, 30767, 16373, 3215, 16712, 23557, 24793, 1829, 13672, 1829, 12174, 36150, 11296, 12399, 502, 30767, 16373, 3215, 805, 5551, 25513, 27884, 2423, 39184, 1386, 11778, 1829, 39896, 2423, 7893, 6055, 3555, 34268, 2423, 39184, 3705, 30767, 16373, 3215, 16712, 23557, 24793, 1829, 21136, 16758, 4587, 12399, 19446, 12174, 36150, 3224, 12399, 13672, 1829, 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{"start": 1151.89, "end": 1152.45, "word": " بعد", "probability": 0.95849609375}, {"start": 1152.45, "end": 1152.75, "word": " الـ", "probability": 0.8701171875}, {"start": 1152.75, "end": 1153.19, "word": " 11", "probability": 0.92919921875}, {"start": 1153.19, "end": 1153.57, "word": " إلى", "probability": 0.87158203125}, {"start": 1153.57, "end": 1158.27, "word": " 4", "probability": 0.308349609375}, {"start": 1158.27, "end": 1160.53, "word": " صح؟", "probability": 0.7820638020833334}, {"start": 1160.53, "end": 1160.97, "word": " الـ", "probability": 0.820068359375}, {"start": 1160.97, "end": 1161.33, "word": " 13", "probability": 0.87109375}, {"start": 1161.33, "end": 1161.89, "word": " بتملأ", "probability": 0.6387532552083334}, {"start": 1161.89, "end": 1162.31, "word": " المواضع", "probability": 0.9725341796875}, {"start": 1162.31, "end": 1162.53, "word": " من", "probability": 0.943359375}, {"start": 1162.53, "end": 1162.83, "word": " بعد", "probability": 0.9609375}, {"start": 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0.877685546875}, {"start": 1191.93, "end": 1192.09, "word": " هو", "probability": 0.9638671875}, {"start": 1192.09, "end": 1192.67, "word": " distribution", "probability": 0.81640625}, {"start": 1192.67, "end": 1193.07, "word": " خلينا", "probability": 0.6665852864583334}, {"start": 1193.07, "end": 1193.31, "word": " نطلع", "probability": 0.9765625}, {"start": 1193.31, "end": 1193.49, "word": " على", "probability": 0.8486328125}, {"start": 1193.49, "end": 1194.07, "word": " ال", "probability": 0.9013671875}, {"start": 1194.07, "end": 1194.39, "word": " algorithm", "probability": 0.828125}, {"start": 1194.39, "end": 1194.67, "word": " على", "probability": 0.859375}, {"start": 1194.67, "end": 1194.97, "word": " طول", "probability": 0.992431640625}], "temperature": 1.0}, {"id": 44, "seek": 122570, "start": 1196.4, "end": 1225.7, "text": "distribution counting sort source and array of integers هذولة التلت عمليات اللي في البداية دولة عبارة عن إذا تقولي إيش هم ال preprocessing أو ال peripheral tasks العمليات الثانوية بتولد منهم اللي هو ال D اللي هي هتاخد ال space اللي احنا و بعد هي كده بيبدأ عملية التوطين التوطين العناصر في ال", "tokens": [42649, 30783, 13251, 1333, 4009, 293, 10225, 295, 41674, 8032, 8848, 12610, 3660, 16712, 1211, 2655, 6225, 2304, 20292, 9307, 13672, 1829, 8978, 29739, 28259, 10632, 11778, 12610, 3660, 6225, 3555, 9640, 3660, 18871, 11933, 15730, 6055, 39648, 1829, 11933, 1829, 8592, 8032, 2304, 2423, 2666, 340, 780, 278, 34051, 2423, 40235, 9608, 18863, 2304, 20292, 9307, 6024, 104, 7649, 2407, 10632, 39894, 12610, 3215, 9154, 16095, 13672, 1829, 31439, 2423, 413, 13672, 1829, 39896, 8032, 2655, 47283, 3215, 2423, 1901, 13672, 1829, 1975, 5016, 8315, 4032, 39182, 39896, 9122, 3215, 3224, 4724, 1829, 44510, 10721, 6225, 42213, 10632, 16712, 2407, 9566, 9957, 16712, 2407, 9566, 9957, 18863, 1863, 33546, 2288, 8978, 2423], "avg_logprob": -0.19380482233930052, "compression_ratio": 1.7431906614785992, "no_speech_prob": 1.1920928955078125e-07, 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أو", "probability": 0.873046875}, {"start": 1207.64, "end": 1207.82, "word": " ال", "probability": 0.97412109375}, {"start": 1207.82, "end": 1208.24, "word": " peripheral", "probability": 0.95263671875}, {"start": 1208.24, "end": 1209.1, "word": " tasks", "probability": 0.8857421875}, {"start": 1209.1, "end": 1211.02, "word": " العمليات", "probability": 0.911376953125}, {"start": 1211.02, "end": 1211.76, "word": " الثانوية", "probability": 0.98046875}, {"start": 1211.76, "end": 1213.24, "word": " بتولد", "probability": 0.8894856770833334}, {"start": 1213.24, "end": 1213.7, "word": " منهم", "probability": 0.994384765625}, {"start": 1213.7, "end": 1214.04, "word": " اللي", "probability": 0.9736328125}, {"start": 1214.04, "end": 1214.22, "word": " هو", "probability": 0.93408203125}, {"start": 1214.22, "end": 1214.36, "word": " ال", "probability": 0.8232421875}, {"start": 1214.36, "end": 1214.6, "word": " D", "probability": 0.66357421875}, {"start": 1214.6, "end": 1215.04, "word": " اللي", "probability": 0.8779296875}, {"start": 1215.04, "end": 1215.18, "word": " هي", "probability": 0.83349609375}, {"start": 1215.18, "end": 1215.74, "word": " هتاخد", "probability": 0.8994140625}, {"start": 1215.74, "end": 1216.0, "word": " ال", "probability": 0.95068359375}, {"start": 1216.0, "end": 1216.56, "word": " space", "probability": 0.94580078125}, {"start": 1216.56, "end": 1217.2, "word": " اللي", "probability": 0.9765625}, {"start": 1217.2, "end": 1217.46, "word": " احنا", "probability": 0.9091796875}, {"start": 1217.46, "end": 1219.94, "word": " و", "probability": 0.46337890625}, {"start": 1219.94, "end": 1220.52, "word": " بعد", "probability": 0.7158203125}, {"start": 1220.52, "end": 1220.72, "word": " هي", "probability": 0.321533203125}, {"start": 1220.72, "end": 1220.94, "word": " كده", "probability": 0.8619791666666666}, {"start": 1220.94, "end": 1221.64, "word": " بيبدأ", "probability": 0.9757080078125}, {"start": 1221.64, "end": 1222.2, "word": " عملية", "probability": 0.9786783854166666}, {"start": 1222.2, "end": 1223.14, "word": " التوطين", "probability": 0.859619140625}, {"start": 1223.14, "end": 1224.18, "word": " التوطين", "probability": 0.8515625}, {"start": 1224.18, "end": 1225.02, "word": " العناصر", "probability": 0.8909912109375}, {"start": 1225.02, "end": 1225.26, "word": " في", "probability": 0.9833984375}, {"start": 1225.26, "end": 1225.7, "word": " ال", "probability": 0.8505859375}], "temperature": 1.0}, {"id": 45, "seek": 125500, "start": 1226.34, "end": 1255.0, "text": "الـ output الـ ray أول خطوة هنا الـ initialize الـ frequencies خلّي بالك إن هو ماعملش F و بنا منها الـ D هي نفس الـ D بداها ك frequency ثم راح غير الأقام اللي فيها تراكمي كتالي الـ D نفسها أول شيء صفرها", "tokens": [6027, 39184, 5598, 2423, 39184, 18592, 5551, 12610, 16490, 9566, 2407, 3660, 34105, 2423, 39184, 5883, 1125, 2423, 39184, 20250, 16490, 1211, 11703, 1829, 20666, 4117, 36145, 31439, 19446, 25957, 1211, 8592, 479, 4032, 4724, 8315, 9154, 11296, 2423, 39184, 413, 39896, 8717, 36178, 2423, 39184, 413, 4724, 28259, 11296, 9122, 7893, 38637, 2304, 12602, 39319, 32771, 13546, 16247, 4587, 10943, 13672, 1829, 8978, 11296, 6055, 23557, 24793, 1829, 9122, 2655, 6027, 1829, 2423, 39184, 413, 8717, 36178, 11296, 5551, 12610, 44049, 38207, 20328, 5172, 2288, 11296], "avg_logprob": -0.2443181753835895, "compression_ratio": 1.5485436893203883, "no_speech_prob": 0.0, "words": [{"start": 1226.34, "end": 1226.64, "word": "الـ", "probability": 0.505859375}, {"start": 1226.64, "end": 1227.1, "word": " output", "probability": 0.7802734375}, {"start": 1227.1, "end": 1229.2, "word": " الـ", "probability": 0.8095703125}, {"start": 1229.2, "end": 1229.46, "word": " ray", "probability": 0.375732421875}, {"start": 1229.46, "end": 1231.72, "word": " أول", "probability": 0.874267578125}, {"start": 1231.72, "end": 1232.3, "word": " خطوة", "probability": 0.9927978515625}, {"start": 1232.3, "end": 1232.7, "word": " هنا", "probability": 0.96923828125}, {"start": 1232.7, "end": 1233.04, "word": " الـ", "probability": 0.553955078125}, {"start": 1233.04, "end": 1233.9, "word": " initialize", "probability": 0.821533203125}, {"start": 1233.9, "end": 1234.18, "word": " الـ", "probability": 0.57666015625}, {"start": 1234.18, "end": 1234.84, "word": " frequencies", "probability": 0.79150390625}, {"start": 1234.84, "end": 1236.08, "word": " خلّي", "probability": 0.8455810546875}, {"start": 1236.08, "end": 1236.32, "word": " بالك", "probability": 0.959716796875}, {"start": 1236.32, "end": 1236.44, "word": " إن", "probability": 0.42236328125}, {"start": 1236.44, "end": 1236.58, "word": " هو", "probability": 0.615234375}, {"start": 1236.58, "end": 1237.34, "word": " ماعملش", "probability": 0.78948974609375}, {"start": 1237.34, "end": 1237.82, "word": " F", "probability": 0.6611328125}, {"start": 1237.82, "end": 1239.16, "word": " و", "probability": 0.720703125}, {"start": 1239.16, "end": 1239.46, "word": " بنا", "probability": 0.6356201171875}, {"start": 1239.46, "end": 1239.74, "word": " منها", "probability": 0.992919921875}, {"start": 1239.74, "end": 1239.94, "word": " الـ", "probability": 0.722412109375}, {"start": 1239.94, "end": 1240.18, "word": " D", "probability": 0.7265625}, {"start": 1240.18, "end": 1240.98, "word": " هي", "probability": 0.6953125}, {"start": 1240.98, "end": 1241.34, "word": " نفس", "probability": 0.996337890625}, {"start": 1241.34, "end": 1241.62, "word": " الـ", "probability": 0.888916015625}, {"start": 1241.62, "end": 1241.84, "word": " D", "probability": 0.90185546875}, {"start": 1241.84, "end": 1243.12, "word": " بداها", "probability": 0.55908203125}, {"start": 1243.12, "end": 1243.66, "word": " ك", "probability": 0.92333984375}, {"start": 1243.66, "end": 1244.34, "word": " frequency", "probability": 0.94384765625}, {"start": 1244.34, "end": 1245.3, "word": " ثم", "probability": 0.963623046875}, {"start": 1245.3, "end": 1245.56, "word": " راح", "probability": 0.826904296875}, {"start": 1245.56, "end": 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46, "seek": 128607, "start": 1257.37, "end": 1286.07, "text": "بعدين راح حسب ال frequencies على كل عنصر في ال input from 0 to N نقص واحد يشوفوا ايش هو مثلا 11 لأن هذه ال 11 بتيجي كاش ك index اسم مش ال 11 نفسها 11 ناقص L ايش ال L؟", "tokens": [3555, 22488, 9957, 12602, 39319, 11331, 35457, 2423, 20250, 15844, 28242, 18871, 9381, 2288, 8978, 2423, 4846, 490, 1958, 281, 426, 8717, 4587, 9381, 36764, 24401, 7251, 8592, 38688, 14407, 1975, 1829, 8592, 31439, 50113, 15040, 2975, 5296, 33456, 29538, 2423, 2975, 39894, 1829, 7435, 1829, 9122, 33599, 9122, 8186, 24525, 2304, 37893, 2423, 2975, 8717, 36178, 11296, 2975, 8717, 995, 4587, 9381, 441, 1975, 1829, 8592, 2423, 441, 22807], "avg_logprob": -0.299515854304945, "compression_ratio": 1.4055555555555554, "no_speech_prob": 0.0, "words": [{"start": 1257.37, "end": 1258.03, "word": "بعدين", "probability": 0.8063151041666666}, {"start": 1258.03, "end": 1258.51, "word": " راح", "probability": 0.7568359375}, {"start": 1258.51, "end": 1259.57, 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..", "probability": 0.6005859375}, {"start": 1862.75, "end": 1862.97, "word": " على", "probability": 0.90576171875}, {"start": 1862.97, "end": 1863.25, "word": " أساس", "probability": 0.9749348958333334}, {"start": 1863.25, "end": 1863.65, "word": " مبدأ", "probability": 0.9137369791666666}, {"start": 1863.65, "end": 1863.79, "word": " اللي", "probability": 0.9853515625}, {"start": 1863.79, "end": 1863.95, "word": " هو", "probability": 0.98974609375}, {"start": 1863.95, "end": 1864.07, "word": " ال", "probability": 0.4482421875}, {"start": 1864.07, "end": 1864.33, "word": " input", "probability": 0.98828125}, {"start": 1864.33, "end": 1864.91, "word": " enhancement", "probability": 0.8388671875}, {"start": 1864.91, "end": 1865.85, "word": " input", "probability": 0.962890625}, {"start": 1865.85, "end": 1865.99, "word": " ..", "probability": 0.5322265625}, {"start": 1865.99, "end": 1866.21, "word": " لسه", "probability": 0.9103190104166666}, {"start": 1866.21, "end": 1866.77, "word": " مادخلناش", "probability": 0.9271647135416666}, {"start": 1866.77, "end": 1867.03, "word": " في", "probability": 0.9794921875}, {"start": 1867.03, "end": 1867.27, "word": " ال", "probability": 0.82421875}, {"start": 1867.27, "end": 1867.99, "word": " restructuring", "probability": 0.9532877604166666}, {"start": 1867.99, "end": 1868.95, "word": " input", "probability": 0.97705078125}, {"start": 1868.95, "end": 1869.49, "word": " enhancement", "probability": 0.86865234375}, {"start": 1869.49, "end": 1870.57, "word": " فبنشوف", "probability": 0.98681640625}, {"start": 1870.57, "end": 1870.99, "word": " مثال", "probability": 0.91357421875}, {"start": 1870.99, "end": 1871.25, "word": " ال", "probability": 0.362548828125}, {"start": 1871.25, "end": 1871.53, "word": " string", "probability": 0.91259765625}, {"start": 1871.53, "end": 1872.03, "word": " matching", "probability": 0.83544921875}, {"start": 1872.03, "end": 1873.13, "word": " باستخدام", "probability": 0.9832356770833334}, {"start": 1873.13, "end": 1873.95, "word": " خررزمية", "probability": 0.7429606119791666}, {"start": 1873.95, "end": 1874.09, "word": " ال", "probability": 0.91748046875}, {"start": 1874.09, "end": 1874.27, "word": " horse", "probability": 0.615234375}, {"start": 1874.27, "end": 1874.61, "word": " pool", "probability": 0.18115234375}, {"start": 1874.61, "end": 1876.09, "word": " يعطيكم", "probability": 0.78240966796875}, {"start": 1876.09, "end": 1876.47, "word": " العافية", "probability": 0.8201497395833334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1876.543875, "duration_after_vad": 1789.0262499999958}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/tW3OAAxN-0Y_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/tW3OAAxN-0Y_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..867897eb9a4e509e80eab2771fa75b41cf565007
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/tW3OAAxN-0Y_raw.srt
@@ -0,0 +1,1344 @@
+1
+00:00:21,380 --> 00:00:23,540
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,540 --> 00:00:28,320
+المرسلين اليوم إن شاء الله بنبدأ chapter جديد مع
+
+3
+00:00:28,320 --> 00:00:33,360
+نوع مختلف أو approach مختلف من ال algorithmic ال
+
+4
+00:00:33,360 --> 00:00:36,380
+approach هذا بيطلق عليه اللي هو space and time
+
+5
+00:00:36,380 --> 00:00:41,280
+trade offs يعني approach بيحاول يعمل تضحية بشوية
+
+6
+00:00:41,280 --> 00:00:46,400
+space من أجل enhancement على ال execution time
+
+7
+00:00:47,710 --> 00:00:52,410
+فعمليا انت ممكن تجريها space for ال time trade-off
+
+8
+00:00:52,410 --> 00:00:58,030
+يعني بنضحي بال space من أجل ال time trade-off واضح
+
+9
+00:00:58,030 --> 00:01:03,010
+المعنى كلمة trade-off بمعنى مقايضة أو مفاضلة يعني
+
+10
+00:01:03,010 --> 00:01:07,890
+أنا بده افضل شيء على حساب شيء آخر هنا بده افضل ال
+
+11
+00:01:07,890 --> 00:01:12,310
+time على حساب ال space مثل الموضوع ال space هذا
+
+12
+00:01:12,310 --> 00:01:16,610
+كان مهمكثير في بدايات ال computer science انه كانت
+
+13
+00:01:16,610 --> 00:01:20,490
+ال space محدودة فكان مهم جدا إضافة إلى يعني ال
+
+14
+00:01:20,490 --> 00:01:25,070
+time مهم جدا ان احنا نراعي المساحة المحدودة لل ..
+
+15
+00:01:25,070 --> 00:01:30,670
+بس بعد هيك الآن صارت أريح التعامل مع ال space في
+
+16
+00:01:30,670 --> 00:01:37,090
+شوية راحة بس بظلوا ال time هو العامل الأساسي طيب
+
+17
+00:01:37,090 --> 00:01:42,780
+المفاضلة هذه ما بين ال space و ال timeفكرتها
+
+18
+00:01:42,780 --> 00:01:46,540
+الأساسية إنه إحنا بنضحي صح بال space فإيش اللي
+
+19
+00:01:46,540 --> 00:01:49,660
+بيصير؟ we perform some peripheral task ال
+
+20
+00:01:49,660 --> 00:01:54,000
+algorithm قبل ما تبدأ شغلها الأساسي بتعمل some
+
+21
+00:01:54,000 --> 00:02:01,640
+task ثانوية هذه الثانوية بدها تسرع العمل الأساسي
+
+22
+00:02:01,640 --> 00:02:07,660
+ولكن على حسب إنها بدأ تستهلك شوية space في تلت
+
+23
+00:02:07,660 --> 00:02:14,190
+أنواع من هذا الأسلوبفي الـ Input Enhancement الـ
+
+24
+00:02:14,190 --> 00:02:17,150
+Pre-structuring والـ Dynamic Programming Dynamic
+
+25
+00:02:17,150 --> 00:02:20,150
+Programming مش هنحكي عنه بالمرة الآن اللي هو
+
+26
+00:02:20,150 --> 00:02:22,690
+chapter لحاله ال chapter القادم chapter تمانية
+
+27
+00:02:22,690 --> 00:02:26,530
+نحكي عنه بالتفصيل هناك الآن احنا هنشوف الحالتين
+
+28
+00:02:26,530 --> 00:02:29,370
+هدولة أو النوعين هدولة ال Pre-structuring وال
+
+29
+00:02:29,370 --> 00:02:33,130
+Input Enhancement ال Pre-structuring من اسمه احنا
+
+30
+00:02:33,130 --> 00:02:36,950
+بناخد ال input و بنعمله structure data structure
+
+31
+00:02:36,950 --> 00:02:44,360
+معينة اللييكون لها دور في تسريع ال execution تبع
+
+32
+00:02:44,360 --> 00:02:51,020
+ال algorithm فال task ال peripheral task اللي بدأت
+
+33
+00:02:51,020 --> 00:02:57,420
+انعمل مسبقا هي الشغل على بنية البيانات هذه اللي
+
+34
+00:02:57,420 --> 00:03:00,760
+بدأت نحط فيها ال dataهذا النوع النوع اللى بنشوفه
+
+35
+00:03:00,760 --> 00:03:03,680
+الآن ان شاء الله اللى هو ال input enhancement انه
+
+36
+00:03:03,680 --> 00:03:09,020
+انا اللى بيحصل ال peripheral task تجتمل على شغل
+
+37
+00:03:09,020 --> 00:03:12,580
+على ال input مش هتعمل data structure جديدة يعني
+
+38
+00:03:12,580 --> 00:03:19,400
+هيكلية خاصة ولا اشي انما بينعمل نوع من تحليل ال
+
+39
+00:03:19,400 --> 00:03:24,380
+data عشان نشتق منها some helpful metadata يعني
+
+40
+00:03:24,380 --> 00:03:27,180
+بيانات عن البيانات هنشوف مثال مباشر على هذا الكلام
+
+41
+00:03:27,580 --> 00:03:32,860
+هذه الـ metadata تستعين بها الـ algorithm في تسريع
+
+42
+00:03:32,860 --> 00:03:36,760
+الشُكُل خلّيني أطلّع على المثال الأول والـ
+
+43
+00:03:36,760 --> 00:03:42,500
+metadata تتخزّن في الـ table أول example عندنا
+
+44
+00:03:42,500 --> 00:03:45,800
+اللي هو sorting by comparison sorting by
+
+45
+00:03:45,800 --> 00:03:49,820
+comparison ال algorithm تم sorting by comparison
+
+46
+00:03:49,820 --> 00:03:55,420
+بالقالية التالية أنه عندي ال input الان ال input
+
+47
+00:03:55,420 --> 00:04:01,480
+arrayفيها نفترض بسيطة جدا فيها ست عناصر هدولة الان
+
+48
+00:04:01,480 --> 00:04:09,200
+هنعمل array مرافقة او مصاحبة بنفس عدد العناصر
+
+49
+00:04:09,200 --> 00:04:13,300
+نسميها ال count ال count array
+
+50
+00:04:23,200 --> 00:04:27,560
+أيش بده يتخزن فيها احنا قلنا هنا احنا بنعمل تحليل
+
+51
+00:04:27,560 --> 00:04:32,340
+لل input عشان نشتق منه نشتق عنه معلومة المعلومة
+
+52
+00:04:32,340 --> 00:04:36,760
+هذه انستنت إليها في ليش؟ في الشغل في عملية ال
+
+53
+00:04:36,760 --> 00:04:39,820
+sorting هنا ال algorithm بتعمل sorting ايش
+
+54
+00:04:39,820 --> 00:04:43,740
+المعلومة؟ المعلومة هذه ال count بدنا نشوف كل أنصر
+
+55
+00:04:43,740 --> 00:04:51,070
+أكم أنصر أصغر منه هنا ال 62 okayبنلف على كل اللي
+
+56
+00:04:51,070 --> 00:04:58,330
+بعدها ونشوف مين ال .. أكم واحد أصغر منها 62 في
+
+57
+00:04:58,330 --> 00:05:01,110
+الواحد التلاتين هذه لأ مش أصغر، هذه مش أصغر،
+
+58
+00:05:01,110 --> 00:05:04,430
+التسعة وأربعين .. التسعتاش والسبعة واربعين فبيجي
+
+59
+00:05:04,430 --> 00:05:09,990
+الرقم تلاتة أنا بدي أخزن الانهائي تبع ال count
+
+60
+00:05:09,990 --> 00:05:14,920
+اللي هو هذا هذا بدي أكتبه على طولوأنا كمان شوية
+
+61
+00:05:14,920 --> 00:05:18,840
+بشوف كيف ال algorithm عمليا بتسوي الخطوات بتاعتها
+
+62
+00:05:18,840 --> 00:05:29,420
+بالتفصيل بس ال 62 62 تلتة اللي بعدها 31 في ال 19
+
+63
+00:05:29,420 --> 00:05:35,000
+بس واحد أصغر منها ال 84 في ال 4 اربعة اللي هم
+
+64
+00:05:35,000 --> 00:05:40,240
+هدولة و التنين هدولة أيضا هاي أربعة اللي بعد اللي
+
+65
+00:05:40,240 --> 00:05:46,680
+هو ال 96 كلهمأصغر منها 19 ولا واحد أصغر منها هي
+
+66
+00:05:46,680 --> 00:05:51,300
+أصغر واحدة 47 الواحد و تلاتين و تسعة عشر واحد و
+
+67
+00:05:51,300 --> 00:05:56,140
+تلاتين و تسعة عشر أصغر من 47 عددهم اتنين الان هذه
+
+68
+00:05:56,140 --> 00:06:00,140
+هي ال metadata اللي أنا جمعتها عن ال dataهي معلومة
+
+69
+00:06:00,140 --> 00:06:04,260
+واحدة بس عن كل أنصر من العناصر المعلومة هذه هي ال
+
+70
+00:06:04,260 --> 00:06:09,000
+count ال count of ال elements اللي أصغر من ال
+
+71
+00:06:09,000 --> 00:06:14,100
+element ال current صح استنادنا إلى هذه انا بدنا
+
+72
+00:06:14,100 --> 00:06:17,400
+نشوف الآن كيف ال sort بدي نعمل بما انه انا اعلم
+
+73
+00:06:17,400 --> 00:06:22,440
+الان الواحد هو مين اه بده احط القرية الأصلية فوق
+
+74
+00:06:22,440 --> 00:06:28,360
+مباشرة عشان نبقى عارفين الواحد هو اتنين وستين
+
+75
+00:06:36,140 --> 00:06:42,020
+الواحد هو الواحد اتنين وستين الان بقدر مباشرة اروح
+
+76
+00:06:42,020 --> 00:06:50,180
+على ال result يعني اقول بما ان اتنين وستين في اصغر
+
+77
+00:06:50,180 --> 00:06:55,980
+منها تلاتة هي من الطبيعي تيجي في الموضوع الرابع
+
+78
+00:06:58,630 --> 00:07:02,930
+خلاص هاي واحد اتنين تلاتة هاي اربعة الواحد تلاتين
+
+79
+00:07:02,930 --> 00:07:07,050
+بما انه اصغر منها انصر واحد فقط يبقى الطبيعة تيجي
+
+80
+00:07:07,050 --> 00:07:15,410
+في التاني نعم مش مشكلة احنا هنا ترتيب المواضع
+
+81
+00:07:15,410 --> 00:07:18,770
+القرار الآن هنشوف تبدأ من ال zero لتبدأ من احد
+
+82
+00:07:18,770 --> 00:07:22,110
+لتبدأ من تاني بس المهم انا بدي اكتب معايا في ال
+
+83
+00:07:22,110 --> 00:07:29,270
+idea الأساسية الفكرة الأساسية الاربعة تمانينالـ
+
+84
+00:07:29,270 --> 00:07:33,530
+count بتقولي أنه أصغر منها أربع عناصر خلاص بعد
+
+85
+00:07:33,530 --> 00:07:40,950
+أربعة و بحطها في الخامس صح؟ ال 96 ال count بتقولي
+
+86
+00:07:40,950 --> 00:07:49,210
+انه أصغر منها خمس عناصر يبجي هي في السادس التسعتاش
+
+87
+00:07:49,210 --> 00:07:55,170
+مفيش أصغر منها يبجي هي في الأول السابعة و أربعين
+
+88
+00:07:55,170 --> 00:07:59,790
+أصغر منها اتنين اللي هو المكان الأخير اللي ضايلهو
+
+89
+00:07:59,790 --> 00:08:05,850
+بيطلعوا امرتبين بطريقة هذه وين ال trade-off اللي
+
+90
+00:08:05,850 --> 00:08:12,090
+حصلت؟ trade-off بسيطة جدا اخدنا array عملنا array
+
+91
+00:08:12,090 --> 00:08:18,110
+عابرة اش يعني عابرة؟ يعني استخدامها هينتهي مع حاجة
+
+92
+00:08:18,110 --> 00:08:24,550
+اليها هتنتهي مع انتهاء ال algorithm وكلفنا صح شوية
+
+93
+00:08:24,550 --> 00:08:29,640
+برضه واجت في أدادهاواضافة إلى ال space يعني بس في
+
+94
+00:08:29,640 --> 00:08:34,740
+الآخر عملنا عملية ال sorting بسرعة صح بسرعة ولكن
+
+95
+00:08:34,740 --> 00:08:38,720
+مش أسرع من ال .. من الأسرع الموجود ايش الأسرع
+
+96
+00:08:38,720 --> 00:08:42,680
+sorting احنا متفجين in login in login هو أسرع هذه
+
+97
+00:08:42,680 --> 00:08:46,720
+كده بتاخد خلي بالك عشان انا أنجز هذه ال account
+
+98
+00:08:46,720 --> 00:08:49,960
+بدي ألف على كل عنصر و في كل عنصر بدي ألف على اللي
+
+99
+00:08:49,960 --> 00:08:53,060
+بعده تتذكروا المتتالية
+
+100
+00:08:55,750 --> 00:09:01,830
+ان انتر بيه بالظبط متتالية بتصغر عدد من الدورات كل
+
+101
+00:09:01,830 --> 00:09:06,230
+دورة بتصغر عن اللي بعدها فانتر بيه انتر بيه مش
+
+102
+00:09:06,230 --> 00:09:10,730
+احسن من ان لوج ان ماشي طب واش الفادة يعني انا عملت
+
+103
+00:09:10,730 --> 00:09:14,630
+trade-off وفي الآخر طلعت يعني خسرتني space وخسرتني
+
+104
+00:09:14,630 --> 00:09:19,190
+وجهة كمان ماشي هي مش كويسة هذه ال algorithm الغرض
+
+105
+00:09:19,190 --> 00:09:25,880
+منها اني نفهم اللي هو فكرة ال trade-offوكيف واحد
+
+106
+00:09:25,880 --> 00:09:31,620
+من أشكال ال trade-off كيف ممكن يتم تمام ارجع تاني
+
+107
+00:09:31,620 --> 00:09:35,580
+هي اللي كنا عليها هي ال algorithm ال algorithm بدأ
+
+108
+00:09:35,580 --> 00:09:43,360
+تيجي مبدئيا هذا
+
+109
+00:09:43,360 --> 00:09:48,780
+ال line ايش بيسوي بينشئ ال count array بس مصفرة
+
+110
+00:09:48,780 --> 00:09:58,620
+zeros تماموالـ Indices تبعته Zero بيبدأ من Zero
+
+111
+00:09:58,620 --> 00:10:02,840
+ياسف بعدين
+
+112
+00:10:02,840 --> 00:10:11,160
+بيبدأ من Zero من Zero هنا ل الجبل
+
+113
+00:10:11,160 --> 00:10:19,900
+الأخير ايش يسوي في كل I بيجف عليها بياخد من بعدها
+
+114
+00:10:21,660 --> 00:10:29,560
+الى الاخر بيبدأ
+
+115
+00:10:29,560 --> 00:10:32,900
+بال I بيجفع ال I و بعدها بياخد كل اللي بعدها عشان
+
+116
+00:10:32,900 --> 00:10:37,640
+ايش يسوي يعمل المقارنة عشان يقبل الأرقام هذه
+
+117
+00:10:37,640 --> 00:10:46,220
+بيقارن العنصر I مع العنصر J ايش
+
+118
+00:10:46,220 --> 00:10:54,290
+بيسويبيقارنهم طالما ان هذا الاكبر بتروح يزود ال
+
+119
+00:10:54,290 --> 00:10:58,210
+index تبعه بتزود ال value في ال index تبعه اذا
+
+120
+00:10:58,210 --> 00:11:01,910
+داكا الاكبر بروح لها داكا و بزود ال .. صح؟ فهنا
+
+121
+00:11:01,910 --> 00:11:04,970
+بيقارن اذا ال I هي اللي اصغر .. اذا العنصر اللي
+
+122
+00:11:04,970 --> 00:11:09,170
+على I اصغر من العنصر اللي على J فبيروح بيزود من
+
+123
+00:11:09,170 --> 00:11:18,000
+اللي على J في ال count وإلا بيزود اللي على Iواضحة
+
+124
+00:11:18,000 --> 00:11:24,020
+تمام خلاص بيمشي الـ I الأولى الـ I التانى الـ I
+
+125
+00:11:24,020 --> 00:11:30,660
+التالتى للآخر بتكون كون ال count array بعد هيك
+
+126
+00:11:30,660 --> 00:11:38,620
+بيبدأ الشغل اللى هو تبع ايش تبع اللى هو تعبئة ال
+
+127
+00:11:38,620 --> 00:11:44,200
+sorted array يعبيها عليا أساس بروح ببدأ من Zero
+
+128
+00:11:44,200 --> 00:11:45,800
+إلى
+
+129
+00:11:49,220 --> 00:11:54,980
+ببدأ من 0 إلى a نقص واحد تمام
+
+130
+00:11:54,980 --> 00:12:01,160
+على الموضوع الحادة انا بتعب الموضوع الحادة S0
+
+131
+00:12:01,160 --> 00:12:06,620
+اجيبله من وين S0
+
+132
+00:12:06,620 --> 00:12:11,320
+اجيبله من وين لأ اسف ببدأ زهيقة انا اسف مالش بروح
+
+133
+00:12:11,320 --> 00:12:16,520
+بقول الموضوع a
+
+134
+00:12:16,520 --> 00:12:25,510
+of iأحطه أين؟ A of I بيجي هنا هال 62 أحطه أين؟
+
+135
+00:12:25,510 --> 00:12:30,750
+بيدحطه على حسب أيش ما بيقشرلي تمام؟ بالظبط فبروح
+
+136
+00:12:30,750 --> 00:12:36,670
+على ال I هذي في count انا واقف على I zero بروح على
+
+137
+00:12:36,670 --> 00:12:45,030
+نفسها في count بقوله تلاتة معناه ذلك صح هذا هيك
+
+138
+00:12:45,030 --> 00:12:49,310
+اللي جوا الجوس الخارقcount i هو عبارة عن المخزن
+
+139
+00:12:49,310 --> 00:12:55,550
+هنا فبقوله حطها في تلاتة حط main 62 فبرمي 62 على 3
+
+140
+00:12:55,550 --> 00:13:00,150
+هي تلاتة ال zero هي واحد اتنين هي تلاتة اربعة خمسة
+
+141
+00:13:00,150 --> 00:13:04,250
+okay بمشي على اللي بعده هذا الواحد والتلاتين وين
+
+142
+00:13:04,250 --> 00:13:09,270
+احطه ماشي ايش ال count بتقولي بتقولي حطه في واحد
+
+143
+00:13:09,270 --> 00:13:12,670
+ببرمي على واحد واحد مش يعني الأول يعني index واحد
+
+144
+00:13:12,670 --> 00:13:20,020
+يعني اللي هو اللي وصلت هناهكذا من ناحية complexity
+
+145
+00:13:20,020 --> 00:13:29,540
+مرة أخرى هي هتروح تعمل هذا هذا كلام تصفير in
+
+146
+00:13:29,540 --> 00:13:35,180
+number of times ال count هذا عشان يصفرها لسه هاي
+
+147
+00:13:35,180 --> 00:13:43,100
+in هذه المقارنات هيجي هنا عشان يعبي ال count بده
+
+148
+00:13:43,100 --> 00:13:49,050
+تاخد inن تربية ن
+
+149
+00:13:49,050 --> 00:13:55,610
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+150
+00:13:55,610 --> 00:13:56,130
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+151
+00:13:56,130 --> 00:13:58,250
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+152
+00:13:58,250 --> 00:14:04,850
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+153
+00:14:04,850 --> 00:14:09,110
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+154
+00:14:09,110 --> 00:14:11,230
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+155
+00:14:11,230 --> 00:14:11,230
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+156
+00:14:11,230 --> 00:14:11,230
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+157
+00:14:11,230 --> 00:14:11,290
+تربية ن تربية ن تربية ن تربية ن تربية ن تربية ن
+
+158
+00:14:11,290 --> 00:14:18,100
+تربيةهذا المثال الأول يعني مثال التاني خلاصة
+
+159
+00:14:18,100 --> 00:14:22,260
+المثال هذا زي ما قلنا انه هذه هي القرية اللي هتاخد
+
+160
+00:14:22,260 --> 00:14:28,060
+ال space ال extra space و .. على حسب .. من أجل ان
+
+161
+00:14:28,060 --> 00:14:33,040
+احنا نرتاح هنا ولكن تكلفة تبعتها كانت عالي جدا
+
+162
+00:14:33,040 --> 00:14:36,380
+يعني صح ريحتني هذه هذه in عملية ال sorting
+
+163
+00:14:36,380 --> 00:14:42,290
+النهائية أخدت in بس العملية المسبقة أخدتانت ربيع
+
+164
+00:14:42,290 --> 00:14:50,110
+فما حققتليش ال efficiency في ال time التانية بتحقق
+
+165
+00:14:50,110 --> 00:14:56,740
+التانية نفس المسألة اللي هي مسألة ال sortingو لكن
+
+166
+00:14:56,740 --> 00:15:01,520
+الاختلاف ان ال values اللي معايا اللي بتعملهم
+
+167
+00:15:01,520 --> 00:15:05,100
+sorting هاي عندي ال values ال input 13,11,12
+
+168
+00:15:05,100 --> 00:15:08,380
+بتعملهم sorting طبعا ايش ال output النهائي هيكون
+
+169
+00:15:08,380 --> 00:15:14,540
+انه اولا حد تتوجه ال 11 و بعدين ال 12 مكررة تلت
+
+170
+00:15:14,540 --> 00:15:22,260
+مرات و لا لا هاي ال 11 بعدين ال 12 بعدين ال 13
+
+171
+00:15:22,260 --> 00:15:29,030
+مكررة مرتينهذا الـ output النهائي لأن الـ
+
+172
+00:15:29,030 --> 00:15:35,690
+Algorithm اللي بنطلع عليها الآن قالية عملها بتشترط
+
+173
+00:15:35,690 --> 00:15:42,210
+إنه العناصر هدولة معروف ال range تبعهم محدود يعني
+
+174
+00:15:42,210 --> 00:15:48,970
+كيف يعني هنا قولي مثلا إحنا بدنا نعمل ترتيب لطلاب
+
+175
+00:15:48,970 --> 00:15:53,090
+الجامعة على أساس العمراحنا عارفين ان عمار طلاب
+
+176
+00:15:53,090 --> 00:15:57,930
+الجامعة تتروح من ايش اقل اشي 16 تخلي واحد يبقى
+
+177
+00:15:57,930 --> 00:16:04,390
+فالتا وداخل بدري ومتخرج على ال 16 فيه بس لأ تمام
+
+178
+00:16:04,390 --> 00:16:10,730
+جولي 17 ونشمل طلاب المجلس والدكتوراه فيجوه لعند 60
+
+179
+00:16:10,730 --> 00:16:17,220
+خلي يبقى عندنا طلاب هذامن ستة عشر إلى ستين وكلها
+
+180
+00:16:17,220 --> 00:16:22,260
+integers لأن الأعمار بنا ناخدهم على integers فهذا
+
+181
+00:16:22,260 --> 00:16:26,980
+ال range محدود فلما يتيجي تقولي ارتبلي طلاب
+
+182
+00:16:26,980 --> 00:16:31,500
+الجامعة حسب العمر يبقى انا عارف ان الأعمار هتبقى
+
+183
+00:16:31,500 --> 00:16:35,080
+من الست عشر إلى الستين فبقدر استخدم هذا ال
+
+184
+00:16:35,080 --> 00:16:38,140
+algorithm هذا ال algorithm ايش بيسوي اول حاجة
+
+185
+00:16:38,140 --> 00:16:43,050
+بيسويها بيسوي ال frequency tableهذا برضه زي ال
+
+186
+00:16:43,050 --> 00:16:47,530
+count array سميها برضه ال frequency array ايش ال
+
+187
+00:16:47,530 --> 00:16:51,790
+frequency array هذه؟ ان كل القيم المحتملة اللي هي
+
+188
+00:16:51,790 --> 00:16:57,970
+من 16 ل 60 هنا احنا القيم هي بس من ال 11 ل 13 كل
+
+189
+00:16:57,970 --> 00:17:03,050
+القيم المحتملة بيروح بيجي بيفرضها في ال array و بي
+
+190
+00:17:03,050 --> 00:17:10,680
+.. و ايش؟و بيخش على ال input عندي لعشرين ألف طالب
+
+191
+00:17:10,680 --> 00:17:17,260
+كل طالب كده عمره و بيروح بيعمل increment لخانة
+
+192
+00:17:17,260 --> 00:17:21,300
+العمر هذا يعني عمره مثلا اتنين و عشرين بيروح على
+
+193
+00:17:21,300 --> 00:17:25,300
+خانة الاتنين و عشرين هنا و بضيف واحد اللي بعده
+
+194
+00:17:25,300 --> 00:17:29,420
+تلقاه فبيطلع عندي هنا ال frequency و عدد تكرار كل
+
+195
+00:17:29,420 --> 00:17:33,780
+قيمةمن القيمة فعندي في ال table هي ده ال 11 متكررة
+
+196
+00:17:33,780 --> 00:17:38,860
+مرة واحدة ال 12 متكررة ثلاث مرات و ال 13 متكررة
+
+197
+00:17:38,860 --> 00:17:45,780
+مرتين هذا ال array الأولى نسميها ال F ال array
+
+198
+00:17:45,780 --> 00:17:48,840
+التاني نسميها ال D هي عبارة عن accumulated
+
+199
+00:17:48,840 --> 00:17:55,490
+frequency مش يعني accumulated يعني تراكميةالـ
+
+200
+00:17:55,490 --> 00:18:00,490
+Value هذا الـ 1 هو الـ frequency تبعت الـ 11 زائد
+
+201
+00:18:00,490 --> 00:18:04,110
+ما قبلها، أيش ما قبلها مافيش شي، صفر الـ Value 4
+
+202
+00:18:04,110 --> 00:18:09,630
+هو الـ frequency تبعت الـ 12 زائد التراكمي اللي
+
+203
+00:18:09,630 --> 00:18:14,070
+قبلها، 1 زائد 3 أربعة الـ 6 دي هي ال frequency
+
+204
+00:18:14,070 --> 00:18:18,710
+تبعت الـ 13 زائد التراكمي السابق، ما قبله، اللي هو
+
+205
+00:18:18,710 --> 00:18:24,000
+الأربعة، 4 زائد 2، 6تمام ال distribution values
+
+206
+00:18:24,000 --> 00:18:28,520
+هذه استنادا إليها احنا بنعمل عملية ال sort عملية
+
+207
+00:18:28,520 --> 00:18:31,820
+ال sort أصبحت واضحة الآن انا ال distribution هذه
+
+208
+00:18:31,820 --> 00:18:39,840
+بتقوللي حط ال 11 على الموضوع رقم 1 كرر ال 12 لغاية
+
+209
+00:18:39,840 --> 00:18:46,040
+الموضوع رقم 4 ثم كرر ال 13 من بعد ال 12 طبعا لغاية
+
+210
+00:18:46,040 --> 00:18:49,200
+الموضوع رقم 6 ايه ال 11؟
+
+211
+00:18:58,010 --> 00:19:02,490
+هذه الـ Autobot هذه الـ 11 بتيجي في الموضوع رقم 1
+
+212
+00:19:02,490 --> 00:19:08,170
+انا باخد على طول منه الـ distribution الـ 11 بيجي
+
+213
+00:19:08,170 --> 00:19:18,270
+بعدها الـ 12 بيجي تملأ المواضع من بعد الـ 11 إلى 4
+
+214
+00:19:18,270 --> 00:19:25,870
+صح؟ الـ 13 بتملأ المواضع من بعد الـ 12 إلى 6 خلاص؟
+
+215
+00:19:26,630 --> 00:19:30,990
+عملية الـ sorting أصبحت هادة مش يعني ولا إشي
+
+216
+00:19:30,990 --> 00:19:41,650
+استنادر إلى ال distribution function okay
+
+217
+00:19:41,650 --> 00:19:47,490
+الآن هدولة
+
+218
+00:19:47,490 --> 00:19:53,310
+هي ال table هادة اللي هو distribution خلينا نطلع
+
+219
+00:19:53,310 --> 00:19:58,040
+على ال algorithm على طولdistribution counting sort
+
+220
+00:19:58,040 --> 00:20:02,340
+source and array of integers هذولة التلت عمليات
+
+221
+00:20:02,340 --> 00:20:06,640
+اللي في البداية دولة عبارة عن إذا تقولي إيش هم ال
+
+222
+00:20:06,640 --> 00:20:11,020
+preprocessing أو ال peripheral tasks العمليات
+
+223
+00:20:11,020 --> 00:20:16,000
+الثانوية بتولد منهم اللي هو ال D اللي هي هتاخد ال
+
+224
+00:20:16,000 --> 00:20:23,140
+space اللي احنا و بعد هي كده بيبدأ عملية التوطين
+
+225
+00:20:23,140 --> 00:20:32,300
+التوطين العناصر في الالـ output الـ ray أول خطوة
+
+226
+00:20:32,300 --> 00:20:36,580
+هنا الـ initialize الـ frequencies خلّي بالك إن هو
+
+227
+00:20:36,580 --> 00:20:43,660
+ماعملش F و بنا منها الـ D هي نفس الـ D بداها ك
+
+228
+00:20:43,660 --> 00:20:49,680
+frequency ثم راح غير الأقام اللي فيها تراكمي كتالي
+
+229
+00:20:49,680 --> 00:20:59,770
+الـ D نفسها أول شيء صفرهابعدين راح حسب ال
+
+230
+00:20:59,770 --> 00:21:05,050
+frequencies على كل عنصر في ال input from 0 to N
+
+231
+00:21:05,050 --> 00:21:11,970
+نقص واحد يشوفوا ايش هو مثلا
+
+232
+00:21:11,970 --> 00:21:19,190
+11 لأن هذه ال 11 بتيجي كاش ك index اسم مش ال 11
+
+233
+00:21:19,190 --> 00:21:28,470
+نفسها 11 ناقص L ايش ال L؟الـ values الـ values
+
+234
+00:21:28,470 --> 00:21:33,530
+اللي هي ال range اللي بتتروح بينه القيم كان ايش 11
+
+235
+00:21:33,530 --> 00:21:39,350
+ل 13 هذا ماسميه ال lower limit وهذا ال upper limit
+
+236
+00:21:39,350 --> 00:21:47,290
+تمام فانا في القراي مش هروح على عنصر 11 فبدأ اقول
+
+237
+00:21:47,290 --> 00:21:54,150
+ايش 11 ناقص ال L هي برضه 11 ناقص
+
+238
+00:21:56,430 --> 00:22:02,370
+الان a of I ناقص L بيساوي 11 ناقص ال 11 بيساوي ال
+
+239
+00:22:02,370 --> 00:22:08,410
+Zero لروح على answer Zero هو Zero لكن هو ايضا
+
+240
+00:22:08,410 --> 00:22:13,450
+المكان المخصوص لل value 11 هو ال frequency تبع ال
+
+241
+00:22:13,450 --> 00:22:20,570
+value 11 وهذا لل 12 وهذا لل 13 مفيش غير هم صح هذا
+
+242
+00:22:20,570 --> 00:22:26,450
+Zero لل 11 والواحد لل 12 والاتنين لل 13بروح عليه و
+
+243
+00:22:26,450 --> 00:22:32,390
+ايش بقى اسوي الان ال zero هذا بروح عليه في ال D و
+
+244
+00:22:32,390 --> 00:22:40,450
+بخزن فيه ايش بعمل increment بعمل القيمة
+
+245
+00:22:40,450 --> 00:22:43,610
+اللي موجودة بضيف عليها واحد القيمة اللي موجودة
+
+246
+00:22:43,610 --> 00:22:47,560
+already بضيف عليها واحد فال zero بصير واحدبكرر
+
+247
+00:22:47,560 --> 00:22:52,680
+الكلام هذا كله بينتج عنده ال frequencies تبعات ال
+
+248
+00:22:52,680 --> 00:22:57,580
+values برجع خطوة تالتة على ال frequencies و بيجف
+
+249
+00:22:57,580 --> 00:23:02,280
+هذا بيسيبه هذا بيخلي زموه لان مافيش جابله هذا
+
+250
+00:23:02,280 --> 00:23:07,220
+بيصير هو ال value أصلي زائد اللي جابله تمام؟ و
+
+251
+00:23:07,220 --> 00:23:11,520
+بكرر الكلام هذا بيصير عنده التراكمة هو عمل ال
+
+252
+00:23:11,520 --> 00:23:15,800
+frequency و التراكمة دي على نفس القريةواضح؟ قال لك
+
+253
+00:23:15,800 --> 00:23:21,120
+خلاص هذا D بستخدمها هنا الآن ايش بيسوي؟ بلف على زي
+
+254
+00:23:21,120 --> 00:23:26,980
+ما قلنا العناصر كلهم من I إلى N ناقص واحد آسف آسف
+
+255
+00:23:26,980 --> 00:23:33,500
+I بيجي من الآخر بيجي من الآخر العنصر الأخير كان
+
+256
+00:23:33,500 --> 00:23:40,040
+جداش في ال .. نجيب العناصر اتناش كمان اتناش تلتاش
+
+257
+00:23:40,040 --> 00:23:49,890
+اتناش احداش تلتاشبيجي عليهم من الآخر يمين
+
+258
+00:23:49,890 --> 00:23:55,710
+لشمال I بتبدأ من N نقص واحد اللي هو الأخير down to
+
+259
+00:23:55,710 --> 00:23:59,430
+zero الان
+
+260
+00:23:59,430 --> 00:24:05,270
+J بتساوي نفس الحكاية اللي مخزن هنا بيشيل منه ال
+
+261
+00:24:05,270 --> 00:24:10,750
+lower اتناش نقص اتناش نقص عشان lower limit احداش
+
+262
+00:24:10,750 --> 00:24:18,440
+بساوي واحدلأن هذا الواحد يذهب إلى الـ D يذهب إلى
+
+263
+00:24:18,440 --> 00:24:22,440
+الـ D ويشوف الـ value مخزن على الواحد كم كانت في
+
+264
+00:24:22,440 --> 00:24:31,640
+الـ distributed هنا أربعة و هنا ستة صح؟ كم مخزن في
+
+265
+00:24:31,640 --> 00:24:37,180
+الـ D للأتناش أربعة يبقى الأتناش في ال output
+
+266
+00:24:37,180 --> 00:24:43,710
+بنتيجة علىعلى العنصر أربعة خلّي بالك إنه برضه
+
+267
+00:24:43,710 --> 00:24:53,690
+هيعبي برضه بتراجع من يمين إلى شمال فالآن هذا آه
+
+268
+00:24:53,690 --> 00:25:01,730
+ثاني هذه برضه بدنا نغيّر ال index عشان
+
+269
+00:25:01,730 --> 00:25:10,940
+هيك هو طرح واحد الأربعة الأربعة هي إيش المخزن هناD
+
+270
+00:25:10,940 --> 00:25:17,060
+of J هاي J بساوي واحد D of واحد هاي واحد D of واحد
+
+271
+00:25:17,060 --> 00:25:26,540
+بساوي اربعة قال خد من واحد بصير ايش تلاتة
+
+272
+00:25:26,540 --> 00:25:31,380
+صح؟ الان بده يروح على الموضع رقم تلاتة في ال
+
+273
+00:25:31,380 --> 00:25:37,400
+sorted array ويسجل 12 هذا الان لسه مش مسجلينهيسجّل
+
+274
+00:25:37,400 --> 00:25:43,560
+الـ 12 بعد ما سجّل الـ 12 راح عمل decrement لل
+
+275
+00:25:43,560 --> 00:25:49,060
+value اللي في دي صارت تلاتة لأن لما ييجي يرجع و
+
+276
+00:25:49,060 --> 00:25:52,360
+يشوف الـ 12 التانية هيعمل نفس الشحة بس هيلاقيها
+
+277
+00:25:52,360 --> 00:25:58,280
+تلاتة okay ابن عيش هيروح هيروح على تلاتة ناقص واحد
+
+278
+00:25:58,280 --> 00:26:02,900
+اللي هي اتنين و يخزن الـ 12 في اتنين هيجي الآن هنا
+
+279
+00:26:02,900 --> 00:26:12,480
+تلتاش تلتاشماذا سيكون الـD؟ ستة نقص واحد خمسة
+
+280
+00:26:12,480 --> 00:26:19,220
+سيذهب إلى خمسة ويضع الطلب عشر وهذه ستصبح خمسة
+
+281
+00:26:19,220 --> 00:26:23,660
+مظبوط سيذهب إلى اتناش اتناش الـD تبقى تلاتة اتناش
+
+282
+00:26:23,660 --> 00:26:30,760
+تلاتة اه هذه اتمجزت صح؟ دي صارت اتنين سيروح على
+
+283
+00:26:30,760 --> 00:26:37,240
+اتنينأسف اتنين ناقص واحد دي ناقص واحد اللي هي واحد
+
+284
+00:26:37,240 --> 00:26:40,460
+و هحط الاتناش التالتة خلاص هدا هي الاتناش التالتة
+
+285
+00:26:40,460 --> 00:26:44,080
+مابيضلش بعدين الاحداشر هيروح وين ال دي تبعت
+
+286
+00:26:44,080 --> 00:26:48,300
+الاحداشر واحد ناقص واحد بزيرو هيروح على زيرو و
+
+287
+00:26:48,300 --> 00:26:55,500
+يسجل الاحداشر الان اخر اشي تلتاشر خمسة ناقص واحد
+
+288
+00:26:55,500 --> 00:26:59,160
+اربع هيروح على اربع و يسجل التلتاشر
+
+289
+00:27:02,200 --> 00:27:08,880
+فعمليا ال algorithm هذه هتعمل الخطوات التالية من
+
+290
+00:27:08,880 --> 00:27:11,160
+ناحية ال complex هتعمل الخطوات التالية الخطوة
+
+291
+00:27:11,160 --> 00:27:16,280
+الأولى اللى هي بناء ال D ال D جداش طولها لأ مش N
+
+292
+00:27:16,280 --> 00:27:21,960
+ال input هو اللى تقوله N ال D هذه ال distribution
+
+293
+00:27:21,960 --> 00:27:30,120
+array هذه طولها يساوي U ناقص Lولا لا انا عندي
+
+294
+00:27:30,120 --> 00:27:34,620
+اشرين الف طالب هاي N .. N يساوي اشرين الف طالب لكن
+
+295
+00:27:34,620 --> 00:27:39,640
+عمرهم تتروح من ستاشر لستين عمل D بطول اشرين الف
+
+296
+00:27:39,640 --> 00:27:46,100
+ولا بطول .. اه ستين ناقص ستاشر صح؟ اربعة واربعين
+
+297
+00:27:46,100 --> 00:27:51,860
+مظبوط؟ كل عنصر في ال D بدي اسجل ال frequency تبعته
+
+298
+00:27:51,860 --> 00:27:58,460
+جداشعمره 16 أكام طالب عمره 16 وعمره 17 أكام طالب
+
+299
+00:27:58,460 --> 00:28:07,620
+واضح فالـ D طولها طولها خلّيني أسميها M اللي
+
+300
+00:28:07,620 --> 00:28:13,740
+هو U ناقص L هذا الان فانا بدي ماشي من Zero to U
+
+301
+00:28:13,740 --> 00:28:17,660
+ناقص L هذا بدي ماشي In هذا اللي هو إيش اللي هي
+
+302
+00:28:17,660 --> 00:28:20,500
+Computing ال frequency لازم يلف على 20 أوف طالب
+
+303
+00:28:20,500 --> 00:28:24,740
+كلهموهيشوف كل طلع بديش عمره ويروح يعمل increment
+
+304
+00:28:24,740 --> 00:28:29,620
+في الـD تحت هذا العمر بواحد يعمل increment بواحد
+
+305
+00:28:29,620 --> 00:28:36,320
+في الـD تحت هذا العمر صح؟ في كلهم فهنا N هنا N
+
+306
+00:28:36,320 --> 00:28:43,260
+مظبوط؟ big O of N لازم يقولوا عمرهم كلهم هذه D هذه
+
+307
+00:28:43,260 --> 00:28:49,840
+D يعني برضه زي هذا M بديلف على الـD عدد M من
+
+308
+00:28:49,840 --> 00:28:59,110
+المراتطيب هنا الـ for loop هذه بده يرجع تاني على
+
+309
+00:28:59,110 --> 00:29:03,770
+ال input الـ 20 ألف أو ال input يعني ال N بيجي فكل
+
+310
+00:29:03,770 --> 00:29:08,290
+واحد و يروح يرميه في المكان الصحيح تبقى في ال
+
+311
+00:29:08,290 --> 00:29:12,810
+output في ال S بناء على إيش ال D بتقوله بناء على
+
+312
+00:29:12,810 --> 00:29:18,590
+ال D إيش بتقوله صح؟ يبقى مرة تاني هذا M، M على
+
+313
+00:29:18,590 --> 00:29:22,200
+أساس أن M هي طولالـ Range الـ Range الـ Input الـ
+
+314
+00:29:22,200 --> 00:29:30,920
+Range الـ Values M N N أسفة M وهذه N يبقى Big O of
+
+315
+00:29:30,920 --> 00:29:34,880
+N أقصى حاجة فيها N و N هذا ممتاز في ال sorting ولا
+
+316
+00:29:34,880 --> 00:29:42,820
+لا أقل من N log N ولا لا؟ اه لأن هذا التحسين في
+
+317
+00:29:42,820 --> 00:29:50,410
+الأداء جاي بفضل الـ Dفضل ال D هذه اللي بنناها اللي
+
+318
+00:29:50,410 --> 00:29:53,890
+هيكلفتنا شوية space ال space مش كبير ال D طولها M
+
+319
+00:29:53,890 --> 00:29:59,790
+M يعني تعتمد على ال range تبع ال values okay ولكن
+
+320
+00:29:59,790 --> 00:30:06,070
+أيضا تنسيش ان هذا الكلام صحيح في .. بشرط واحد بشرط
+
+321
+00:30:06,070 --> 00:30:10,590
+أساسي وهو انه ال range ايوة ماقدرش استخدم هذه ال
+
+322
+00:30:10,590 --> 00:30:12,770
+algorithm اذا استخدمت هذه ال algorithm في range
+
+323
+00:30:12,770 --> 00:30:20,430
+مفتوح تمام هيبقى أدائهايعني بناء اللي هي دي هيبقى
+
+324
+00:30:20,430 --> 00:30:24,530
+هداها صح ان و لكن العمل اللي .. كمية العمل اللي
+
+325
+00:30:24,530 --> 00:30:29,770
+هيتم على كل هنصر كمية كبيرة ففي ال .. في ال .. في
+
+326
+00:30:29,770 --> 00:30:34,290
+ال average case هتبقى أسوأ من ال average case تبع
+
+327
+00:30:34,290 --> 00:30:40,050
+ال sorting الأخر فمتطلب
+
+328
+00:30:40,050 --> 00:30:43,390
+بمهمة أو شرط أساسي في ال distribution counting
+
+329
+00:30:43,390 --> 00:30:49,270
+sort انه يبقى ال range ال values محصولOkay طيب أن
+
+330
+00:30:49,270 --> 00:30:52,610
+نواجه تحنا لل input لل string matching ماعتقدش
+
+331
+00:30:52,610 --> 00:30:58,470
+خلاص المحاضرة تجاه ان شاء الله بنكمل في مثال آخر ل
+
+332
+00:30:58,470 --> 00:31:01,350
+.. اللي هو ال trade-off ال space trade-off على
+
+333
+00:31:01,350 --> 00:31:04,910
+أساس .. على أساس مبدأ اللي هو ال input enhancement
+
+334
+00:31:04,910 --> 00:31:08,950
+input .. لسه مادخلناش في ال restructuring input
+
+335
+00:31:08,950 --> 00:31:12,030
+enhancement فبنشوف مثال ال string matching
+
+336
+00:31:12,030 --> 00:31:16,470
+باستخدام خررزمية ال horse pool يعطيكم العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/v57y6T72Axk_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/v57y6T72Axk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2c8a24e8e841c48cbe2232ae23f896dcf4ed7c6f
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/v57y6T72Axk_postprocess.srt
@@ -0,0 +1,1156 @@
+1
+00:00:20,920 --> 00:00:23,120
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:23,120 --> 00:00:26,380
+المصير اليوم ان شاء الله فال basic operation عندنا
+
+3
+00:00:26,380 --> 00:00:29,780
+هي ال swap و ال comparison هي ال comparison
+
+4
+00:00:29,780 --> 00:00:37,440
+المقارنة مقارنة هذه بتحدث أكام مرة من عند بناخد ال
+
+5
+00:00:37,440 --> 00:00:41,640
+upper end و بنطلع من ال lower end من N ناقص 2 N
+
+6
+00:00:41,640 --> 00:00:48,610
+ناقص Iناقص اللي هو Zero زائد واحد لأنه قلنا
+
+7
+00:00:48,610 --> 00:00:54,530
+inclusive فهذا الكلام بيساوي إيش N ناقص I وعندي
+
+8
+00:00:54,530 --> 00:00:59,110
+هنا واحد مع ناقص اتنين ناقص واحد okay هذا الأمر
+
+9
+00:00:59,110 --> 00:01:06,170
+بتكرر برضه أكتر مرة من I بتساوي Zero إلى N ناقص
+
+10
+00:01:06,170 --> 00:01:11,710
+اتنين okay لأن لما I بتساوي Zero لما I بتساوي Zero
+
+11
+00:01:14,940 --> 00:01:20,660
+هذا الكلام N نقص واحد صح؟
+
+12
+00:01:20,660 --> 00:01:30,280
+لما I بتساوي N نقص اتنين هذا الكلام بيساوي
+
+13
+00:01:30,280 --> 00:01:33,740
+واحد
+
+14
+00:01:33,740 --> 00:01:39,200
+ال N مع ال N بيروحوا ال اتنين بيصيب الموجة بيروح
+
+15
+00:01:39,200 --> 00:01:44,740
+منها واحد وضل واحدفنفس الأمر زي المثال اللي قتله
+
+16
+00:01:44,740 --> 00:01:48,800
+هبقى عن متتالية بتبدأ من الواحد لعند N نقص واحد أو
+
+17
+00:01:48,800 --> 00:01:55,940
+بالعكس من N نقص واحد تنزل لواحد عدد شمالي
+
+18
+00:01:55,940 --> 00:02:00,040
+المتتالية هذه بيساوي أيضا
+
+19
+00:02:12,080 --> 00:02:15,740
+وهنا برضه نفس الوضع ان ال worst case و ال best
+
+20
+00:02:15,740 --> 00:02:20,840
+case يعني سواء مرتبة القرية ولا مش مرتبة بدها تعمل
+
+21
+00:02:20,840 --> 00:02:26,380
+نفس الشغل ف big theta of n square
+
+22
+00:02:35,530 --> 00:02:40,190
+الـSelection Sort والـBubble Sort الـSequential
+
+23
+00:02:40,190 --> 00:02:43,830
+Sort ما هو واضح انه احنا بنلف .. آسف Sequential
+
+24
+00:02:43,830 --> 00:02:47,130
+Search مافيش حاجة اسمها Sequential Sort اه؟
+
+25
+00:02:47,130 --> 00:02:52,510
+Sequential Search بعنا key قيمة بندنشوف اذا موجودة
+
+26
+00:02:52,510 --> 00:02:57,170
+في ال array ولا لأ فلازم نلف لحد ديت اما نتخلص ال
+
+27
+00:02:57,170 --> 00:03:04,510
+array ومانجهوش او نلاقيهالأفضل حالة أنه نجيه أول
+
+28
+00:03:04,510 --> 00:03:08,250
+أنصار الأفضل حالة أنه ما نجهوش بالمرة أو نجيه في
+
+29
+00:03:08,250 --> 00:03:12,870
+الآخر أو نجيه في الآخر فهذا ال worst case أنه اللي
+
+30
+00:03:12,870 --> 00:03:16,270
+نجيه في الآخر يعني لازم تفر هي loop واحدة loop
+
+31
+00:03:16,270 --> 00:03:21,410
+واحدة لازم تكتمل ال loop و تلف على ال in كلهم و ال
+
+32
+00:03:21,410 --> 00:03:23,870
+worst case و ال best case اللي هي one طيب ال
+
+33
+00:03:23,870 --> 00:03:29,470
+average caseهو الـ G في النص، صح؟ ما بين هذه وما
+
+34
+00:03:29,470 --> 00:03:33,450
+بين هذه لأنه فيها الـ worst case و best case فاحنا
+
+35
+00:03:33,450 --> 00:03:37,390
+بنقدر نقول إن big O of N هذا ك worst case هذا ..
+
+36
+00:03:37,390 --> 00:03:40,370
+هذا big θ يا بنت، هذا خطأ مطبي لأنه احنا اتوا
+
+37
+00:03:40,370 --> 00:03:45,190
+وشوفناهم في ال slides دول الاتنين big θ بس هو big
+
+38
+00:03:45,190 --> 00:03:54,490
+θ يشمل ال big O لها، صح؟ عيب، عموماالـ sequential
+
+39
+00:03:54,490 --> 00:03:58,830
+search ايش قلناه Big O of N ال worst case تبقى Big
+
+40
+00:03:58,830 --> 00:04:03,330
+O of N طيب
+
+41
+00:04:03,330 --> 00:04:06,970
+هدولة التلت امثلة الان كلهم brute force لأن زي ما
+
+42
+00:04:06,970 --> 00:04:12,070
+انتوا شايفين ال algorithm بتمر على العناصر كلها و
+
+43
+00:04:12,070 --> 00:04:17,150
+لازم تستنفذ كل العناصر عساس تطلع النتجة
+
+44
+00:04:20,180 --> 00:04:23,560
+برضه في كمان مثال اخر اللي هو ال brute force
+
+45
+00:04:23,560 --> 00:04:28,830
+string matchingخلّوا بالكوا ان احنا كل المسألة هذه
+
+46
+00:04:28,830 --> 00:04:32,170
+مثلة ال search او مثلة ال sort او مثلة ال matching
+
+47
+00:04:32,170 --> 00:04:36,390
+احنا بننظر الى اسلوب ال brute force في التعامل مع
+
+48
+00:04:36,390 --> 00:04:39,570
+حد انما ده يعني انه مابتنحلش الا هيك لأ في
+
+49
+00:04:39,570 --> 00:04:42,790
+algorithmات كتيرة very efficient للتعامل مع هذه ال
+
+50
+00:04:42,790 --> 00:04:46,830
+problems احنا بنستعرض هدولة ال algorithmات عساسا
+
+51
+00:04:46,830 --> 00:04:53,570
+.. نشوف اللي هو فئة ال brute forceالـ String
+
+52
+00:04:53,570 --> 00:04:56,670
+Matching يقصد بيها إيش؟ إنه أنا بيبقى فيه عندي
+
+53
+00:04:56,670 --> 00:05:02,070
+كلمة بتبحث عنها في نص، بشوف هل النص ده يحتويها ولا
+
+54
+00:05:02,070 --> 00:05:06,490
+لأ، okay؟ فالنص اللي بيسميه Text و الكلمة بيسميها
+
+55
+00:05:06,490 --> 00:05:10,790
+Pattern، يعني زي هيك مثلا، عندي هذا هيك هو ال Text
+
+56
+00:05:20,100 --> 00:05:23,920
+هذا اللي هو ال text وهذه الكلمة اللي انا ببحث عنها
+
+57
+00:05:23,920 --> 00:05:26,440
+كلمة not not هي ال pattern
+
+58
+00:05:29,850 --> 00:05:33,630
+برضه كمان المسألة هذه مثلة ال string matching ممكن
+
+59
+00:05:33,630 --> 00:05:37,510
+تحل بطرق متعددة الطريقة اللى أمامنا الآن اللى ال
+
+60
+00:05:37,510 --> 00:05:41,630
+brute force ان انا امسك ال pattern و احاول اطابقها
+
+61
+00:05:41,630 --> 00:05:46,890
+حرف بحرف كيف يعني بامسك و بقارن اول حرف بامسك من
+
+62
+00:05:46,890 --> 00:05:50,590
+البداية من بداية ال text اول حرف في ال pattern مع
+
+63
+00:05:50,590 --> 00:05:54,270
+اول حرف في ال text اطابقه لما اقدر اشوف افحص اللى
+
+64
+00:05:54,270 --> 00:05:58,700
+بعدهميعني تاني واحد من ال pattern مع تاني واحد من
+
+65
+00:05:58,700 --> 00:06:04,820
+ال text طابقه بنتقل الى ال .. اللي بعد تالت واحد
+
+66
+00:06:04,820 --> 00:06:07,840
+من ال pattern مع تالت ما طابقوش خلاص يبقى الآن إيش
+
+67
+00:06:07,840 --> 00:06:16,640
+ماتطابقش هذا هنا لربما لو زحت يطابق هذا مع .. مع
+
+68
+00:06:16,640 --> 00:06:22,490
+هناماذا أفعل بحث هذا الآن بحركة ال pattern مع من
+
+69
+00:06:22,490 --> 00:06:28,450
+مع التلاتة الأحرف اللي بدين من الموضع ال رقم
+
+70
+00:06:28,450 --> 00:06:31,350
+الموضع 2 هذا الموضع one الموضع two three
+
+71
+00:06:38,680 --> 00:06:44,620
+عندما تحصل المطابقة يتم إعادة الهينات الموجودة هنا
+
+72
+00:06:44,620 --> 00:06:49,020
+يتم إعادة الهينات الموجودة هنا
+
+73
+00:06:52,730 --> 00:06:57,170
+إذا مافيش مطابقة بيقول بيترجّالي index out of
+
+74
+00:06:57,170 --> 00:07:02,470
+bound يعني يا إما جداش طول ال text plus one يا إما
+
+75
+00:07:02,470 --> 00:07:07,050
+اترجالي ناقص واحد ناقص واحد معناته إنه مش موجود لو
+
+76
+00:07:07,050 --> 00:07:12,090
+رجعتلي إشي بالموجة أكبر من طول ال text معناته برضه
+
+77
+00:07:12,090 --> 00:07:17,330
+مش موجود غير هيك إذا رجعتلي معناته هي لجته وفي
+
+78
+00:07:17,330 --> 00:07:21,730
+الموضوع الفلاني فإذا بتلاحظوا هاد الآن إيش إنه
+
+79
+00:07:23,690 --> 00:07:30,710
+هتستمر لحد ديت ما تجه في هنا الطابق
+
+80
+00:07:30,710 --> 00:07:36,110
+هذا يطابق هذا يطابق هذا يطابق يبقى خلاص فيه مطابقة
+
+81
+00:07:36,110 --> 00:07:41,670
+تمام okay هذا طبعا الأمر مكلف يعني إيه لما يكون ال
+
+82
+00:07:41,670 --> 00:07:45,290
+text كبير و إما إذا ال text صغير و pattern صغيرة
+
+83
+00:07:45,290 --> 00:07:50,430
+بنعمله brute force و مابهمناش كتيرإنما بدي أدور
+
+84
+00:07:50,430 --> 00:07:55,990
+على كلمة في مستند جولي بحث أو كتاب و أمشي بالقالية
+
+85
+00:07:55,990 --> 00:07:59,850
+هذه الحكاية ممكن خاصة إذا كان الكلمة هذه جاية في
+
+86
+00:07:59,850 --> 00:08:04,590
+الآخر طيب ال complexity هنا كيف بنطلع عليها؟ برضه
+
+87
+00:08:04,590 --> 00:08:12,150
+هنكون هنا two loops ولا لأ؟ مش موجودة ال algorithm
+
+88
+00:08:16,980 --> 00:08:20,400
+بنشوف إذا كان جيبها من ال textbook
+
+89
+00:09:13,330 --> 00:09:15,330
+أعتقد أنها موجودة في الإصلاح دلوقتي بس مش عارف
+
+90
+00:09:15,330 --> 00:09:26,850
+المهم okay
+
+91
+00:09:26,850 --> 00:09:32,250
+فى هنا أحنا loop الخارجية و في loop تانى و I loop
+
+92
+00:09:32,250 --> 00:09:36,390
+داخلية ال loop الداخلية طبعا ال loop الخارجية أنه
+
+93
+00:09:36,390 --> 00:09:39,990
+أنا بلف على عناصر إيش على أحرف ال text
+
+94
+00:09:44,460 --> 00:09:52,540
+I بدأ تمشي من عند Zero إلى إيش إلى N, N هنا طول ال
+
+95
+00:09:52,540 --> 00:09:59,580
+text و M طول ال pattern فهنمشي لعند N نقص M ليش
+
+96
+00:09:59,580 --> 00:10:03,340
+لأنه لو افترض ان انا وصلت للاخر و لسه مش ملاقيها و
+
+97
+00:10:03,340 --> 00:10:11,900
+عند ال pattern طولها تلاتة فانا بدي اقارن طبعا هذه
+
+98
+00:10:11,900 --> 00:10:19,000
+N نقص واحدهذه نقص اتنين وهذه نقص ثلاثة نقص N نقص M
+
+99
+00:10:19,000 --> 00:10:24,780
+يعني بدأجف لعند هنا مافيش داعي اقارن هذا و .. يعني
+
+100
+00:10:24,780 --> 00:10:30,740
+لما اقارن .. اكمل برضه لهنا اقارن هذا مع هذا ليش؟
+
+101
+00:10:30,740 --> 00:10:35,560
+لأنه .. نفترض انه مطابق و هذا مطابق بس خلاص و هذا
+
+102
+00:10:35,560 --> 00:10:40,220
+مافيش شيء فانا لازم أقرف .. أجف على إيش؟ على N نقص
+
+103
+00:10:40,220 --> 00:10:46,460
+Mهذه اللوب الخارجي اللوب الداخلية بدأ تمشي بطول ال
+
+104
+00:10:46,460 --> 00:10:54,280
+M لأن أنا بجف بطابق هذا هذا مع هذا هذا مع هذا هذا
+
+105
+00:10:54,280 --> 00:10:59,640
+مع هذا هو بس فعندي two loops الخارجية بتلف من I
+
+106
+00:10:59,640 --> 00:11:06,720
+بساوي Zero ل N نقص M و الداخلية بتلف من جي بساوي
+
+107
+00:11:06,720 --> 00:11:12,880
+بتبدأ برضه من Zero جيالـ J تبدأ من Zero وتستمر
+
+108
+00:11:12,880 --> 00:11:19,440
+لغاية M من Zero لـ M طبعا ناقص واحد هدا Zero One
+
+109
+00:11:19,440 --> 00:11:25,320
+هدا Zero Two هدا Zero هدا J Zero هدا J One هدا J
+
+110
+00:11:25,320 --> 00:11:30,640
+Two فواضحة ان هنا Basic Operation واحدة اللي هي
+
+111
+00:11:30,640 --> 00:11:38,880
+ايش المقارنة انه
+
+112
+00:11:41,530 --> 00:11:45,530
+إن العنصر اللي أنا ماجف عليه من ال text مطابق
+
+113
+00:11:45,530 --> 00:11:48,410
+للعنصر طالما إنه في مطابقة بستمر في ال while لو
+
+114
+00:11:48,410 --> 00:11:53,210
+مافيش مطابقة بخرج من الداخلية و بعمل واحدة جديدة
+
+115
+00:11:53,210 --> 00:11:57,650
+فهي عملية واحدة أساسية اللي هي عملية المقارنة هل
+
+116
+00:11:57,650 --> 00:12:05,290
+هذا يساوي هذا؟ مين هدولة؟ P P اللي هي ال pattern و
+
+117
+00:12:05,290 --> 00:12:15,030
+T اللي هي ال text إذا العنصر P جهمطابق ل P I احنا
+
+118
+00:12:15,030 --> 00:12:24,830
+هنا هذا I الان I plus جيه بيساوي Zero وهذا I جيه
+
+119
+00:12:24,830 --> 00:12:31,270
+Zero مع I بعدين جيه واحد مع I plus one بعدين جيه
+
+120
+00:12:31,270 --> 00:12:37,150
+اتنين مع I plus two فهكذا عملية قلنا او Action
+
+121
+00:12:37,150 --> 00:12:41,630
+العملية عملية المقارنة هذا الكلام بيتنفس هكذا مرة
+
+122
+00:12:46,550 --> 00:12:56,230
+وهذا الكلام أكتر مرة N ناقص M يبقى كل هذا يساوي
+
+123
+00:12:56,230 --> 00:13:03,370
+يعني يساوي N M ناقص M تربية يعني M تربية هذه
+
+124
+00:13:03,370 --> 00:13:07,810
+التربية هذا بيخوف بس مش مفروض يخوف لأن M صغيرة
+
+125
+00:13:07,810 --> 00:13:12,270
+اللي بيخوف عن صحيح اللي هو هذا ال term هذا ال term
+
+126
+00:13:12,270 --> 00:13:17,530
+هو اللي أكبر هذا ال Mال pattern طولها بيبقى عدد
+
+127
+00:13:17,530 --> 00:13:22,570
+يعني كلمة واحدة جداش الكلمة بدأ تبقى عشرين اللي
+
+128
+00:13:22,570 --> 00:13:27,410
+فاللي بيخوف أنه لما يكون ال text كبير ال text كبير
+
+129
+00:13:27,410 --> 00:13:32,830
+و الكلمة كبيرة وجد هذا ال term هذا ال term بيكون
+
+130
+00:13:32,830 --> 00:13:36,250
+هو اللي ف ال complexity ننظر إلى
+
+131
+00:13:39,670 --> 00:13:43,290
+بننظر إلى ال term الأولاني اللي هو حصة الدرب طيب
+
+132
+00:13:43,290 --> 00:13:45,890
+مرة أخرى فيه انا worst case و best case ايه نعم
+
+133
+00:13:45,890 --> 00:13:51,030
+انا مش فاهمة ان كيف I بتساوي J حطيناها طب J اصلا
+
+134
+00:13:51,030 --> 00:13:55,110
+يعني مش هتكون بعدد I بساوي J اه اه اه اه اه اه اه
+
+135
+00:13:55,110 --> 00:13:55,210
+اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه
+
+136
+00:13:55,210 --> 00:13:56,270
+اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه
+
+137
+00:13:56,270 --> 00:13:57,170
+اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه اه
+
+138
+00:13:57,170 --> 00:14:02,790
+اه اه اه اه اه اه اه اه اه اه اه
+
+139
+00:14:02,790 --> 00:14:09,120
+اهمعلش اللي واحد مع السرع بس هي ت I بسبب Zero و J
+
+140
+00:14:09,120 --> 00:14:13,340
+بتبدأ من Zero واضح
+
+141
+00:14:13,340 --> 00:14:16,480
+ليش احنا طلعنا على هذا ال term ما طلعناش مع انه
+
+142
+00:14:16,480 --> 00:14:20,940
+هذا exponential بس طلعنا على هذا لأن هذا هو اللي
+
+143
+00:14:20,940 --> 00:14:27,420
+بكبر اكتر مرة تانية في worst case و best case نعم
+
+144
+00:14:27,420 --> 00:14:32,970
+ال best case اللي تبقى نلاقيها اول كلمة اه اهالخطر
+
+145
+00:14:32,970 --> 00:14:36,390
+هو أننا لا نجدها في المرة أو نجدها آخر كلمة وهذا
+
+146
+00:14:36,390 --> 00:14:47,770
+اللي يكلف N M لفنا N Loop وفي كل Loop لفنا بداخله
+
+147
+00:14:47,770 --> 00:14:57,090
+M number of times تمام؟ بالتالي ال
+
+148
+00:14:57,090 --> 00:15:00,850
+complexity زي ما قلنا big O
+
+149
+00:15:16,170 --> 00:15:23,370
+المثال الأخير اللي هو closest pair problem برضه
+
+150
+00:15:23,370 --> 00:15:28,310
+احنا الآنهنتعامل مع المسألة هذه brute force بمعنى
+
+151
+00:15:28,310 --> 00:15:35,190
+انه يعني نلف على العناصر كلهم و نشوف بدون ما نعمل
+
+152
+00:15:35,190 --> 00:15:41,690
+استراتيجية لتخفيف ال efficiency
+
+153
+00:15:41,690 --> 00:15:47,170
+يعني ال closest pair problem انه انا بيكون في عندي
+
+154
+00:15:47,170 --> 00:15:52,290
+نقاط في
+
+155
+00:15:52,290 --> 00:16:03,240
+two dimensionalو الهدف ان اشوف لو بدى احسب المسافة
+
+156
+00:16:03,240 --> 00:16:09,400
+بين كل نقطة و النقاط الأخرى انا معنى اشوف اقصر
+
+157
+00:16:09,400 --> 00:16:15,660
+نقطتين او اقرب نقطتينأقرب نقطتين أنا بحاول أقسم
+
+158
+00:16:15,660 --> 00:16:19,720
+الخطوط من كل نقطة لكل نقطة أخرى بس هذا الكلام إذا
+
+159
+00:16:19,720 --> 00:16:28,440
+كملته حاسس في عندي يعني المهم أنا عندي واضح إن
+
+160
+00:16:28,440 --> 00:16:33,540
+هدولة النقطتين أقرب نقطتين على بعض صح المسافة هذه
+
+161
+00:16:33,540 --> 00:16:36,500
+ال distance هي أقل ال distance في كل ال distances
+
+162
+00:16:36,500 --> 00:16:43,580
+اللي ممكن تطلع معاهاالمشكلة هذه بتقول تطلّيها ليه؟
+
+163
+00:16:43,580 --> 00:16:51,660
+بدي أعطيك عدة points من P0 إلى PN و بدك تخزينهم في
+
+164
+00:16:51,660 --> 00:17:03,280
+array تخزينهم اللي بدك يا كل
+
+165
+00:17:03,280 --> 00:17:08,720
+ال array دي two dimensional كل عنصر فيها هذا XIYI
+
+166
+00:17:08,720 --> 00:17:14,760
+يعني ايش كل point هي ال X و Y coordinates تبعونها
+
+167
+00:17:14,760 --> 00:17:22,840
+فP خمسة مثلا إلها X خمسة و Y خمسة هم ال
+
+168
+00:17:22,840 --> 00:17:28,980
+coordinates تبعونها فاحنا الآن عشان نحسب ال
+
+169
+00:17:28,980 --> 00:17:33,760
+closest pair احنا الهدف مرة أخرى بقول أنا ال
+
+170
+00:17:33,760 --> 00:17:37,630
+algorithm مطلوب أنها تطلع ل closest distanceأو
+
+171
+00:17:37,630 --> 00:17:41,090
+shortest distance ما بين الأثنين القريبين من بعض
+
+172
+00:17:41,090 --> 00:17:49,390
+فببساطة تلف على كل العناصر بداتها من الأول وتحسب
+
+173
+00:17:49,390 --> 00:17:52,690
+ال distance ما بين هذا العنصر و العناصر التانية
+
+174
+00:17:52,690 --> 00:17:57,750
+مظبوط تطلع ال distance ما بين هذا و هذا distance
+
+175
+00:17:57,750 --> 00:18:08,090
+ما بينه و ما بين اللي بعده صح؟ و بعدين هذاواللي
+
+176
+00:18:08,090 --> 00:18:12,370
+فوقه بعدين التالت واللي فوقه الرعبة واللي فوقه
+
+177
+00:18:12,370 --> 00:18:18,550
+مظبوط ال algorithm احتملها بالقالية هذه اول اشي D
+
+178
+00:18:18,550 --> 00:18:23,450
+بدا نبدأها برقم كبير ان infinity معناتها قيمة
+
+179
+00:18:23,450 --> 00:18:29,830
+كبيرة خارج اطار يعني لا يمكن ال distance تصل اليها
+
+180
+00:18:29,830 --> 00:18:34,990
+maximum numberبنبدأ من I بساوية واحد لعند N نقص
+
+181
+00:18:34,990 --> 00:18:40,170
+واحد I بساوية واحد اللي هو يعني مين اللي هو يعني
+
+182
+00:18:40,170 --> 00:18:46,890
+ايه اللي هو الانصار الأولاني لعند إيش N نقص واحد
+
+183
+00:18:46,890 --> 00:18:53,630
+إيش اللي حيصير أنه بدنا نبدأ نحسب ال distance من
+
+184
+00:18:53,630 --> 00:19:00,090
+مابين I النقطة اللي احنا واقفين عليها و مابين كل
+
+185
+00:19:00,090 --> 00:19:03,610
+واحدة من اللي بعدهافي كل مرة نحسب الـ distance
+
+186
+00:19:03,610 --> 00:19:09,510
+يعني حسبنا بين هذه وهذه طلع معانا الـD هذه الـD
+
+187
+00:19:09,510 --> 00:19:13,390
+الآن هي أول حسبة هذه الـD بنا نعتبرها هي الـ
+
+188
+00:19:13,390 --> 00:19:16,810
+minimum بعدين
+
+189
+00:19:16,810 --> 00:19:22,370
+بنا نحسب مرة أخرى بين هذه واللي بعد الانزل هذا ال
+
+190
+00:19:22,370 --> 00:19:30,480
+distance أقل من الحالية بنا نستبدلهاففي كل مرة
+
+191
+00:19:30,480 --> 00:19:33,980
+احنا بنحسب الـ distance هذه الـ square root
+
+192
+00:19:33,980 --> 00:19:37,940
+function هي حسبة الـ distance صح ولا أه؟ اللي هي
+
+193
+00:19:37,940 --> 00:19:45,900
+هذه الـ square root تبع أصل جمع المربعين فإذا
+
+194
+00:19:45,900 --> 00:19:50,900
+هذا أقل من ال current هذه D هي current distance
+
+195
+00:19:50,900 --> 00:20:02,120
+فبتستبدل و إلا بتظلها يبقى عمليا انابأفحص ال
+
+196
+00:20:02,120 --> 00:20:06,600
+distance ما بين كل ال points و بعضهم وبأطلع في
+
+197
+00:20:06,600 --> 00:20:12,020
+الآخر بال minimum distance ال array ال algorithm
+
+198
+00:20:12,020 --> 00:20:16,300
+بتطلع ال distance بس مابتجليش ال distance هذه ما
+
+199
+00:20:16,300 --> 00:20:22,460
+بين مين و مين لو بدى هتجلي ال distance هذه أكثر
+
+200
+00:20:22,460 --> 00:20:27,000
+مسافة ما بين اي نقطة .. مين هم النقطتين اللي ..
+
+201
+00:20:27,000 --> 00:20:32,820
+هذه المسافة ما بينهم لازم يتسجل هناتسجل الـ I و
+
+202
+00:20:32,820 --> 00:20:41,080
+الـ J واضح؟
+
+203
+00:20:41,080 --> 00:20:45,900
+احنا بدأنا بـ D كبيرة عقدنا المقارنة دي الآن هتبقى
+
+204
+00:20:45,900 --> 00:20:50,500
+very large number فمن الطبيعي جدا ان هذه الكمية
+
+205
+00:20:50,500 --> 00:20:56,900
+تبقى اقل منها وبالتالي هي اللي تحلعلى الـ D بعدها
+
+206
+00:20:56,900 --> 00:21:00,360
+نحسب الحسبة الجديدة ما بين مين الحسبة الجديدة ما
+
+207
+00:21:00,360 --> 00:21:05,560
+بين نفس ال current I مع ال new J ونشوف إذا والله
+
+208
+00:21:05,560 --> 00:21:09,340
+ال distance هذه أقل من الحالية هتستبدل الحالية مش
+
+209
+00:21:09,340 --> 00:21:13,520
+أقل بتبقى لزمان فاحنا فيه عنا عمليا ال basic
+
+210
+00:21:13,520 --> 00:21:16,840
+operation هنا اللي هي ال comparison اللي بتحصل
+
+211
+00:21:16,840 --> 00:21:21,980
+بداخل ال من صح ال comparison اللي بتحصل بداخل ال
+
+212
+00:21:21,980 --> 00:21:31,300
+منالقيمتين اللي احنا ماعطيناها اياهم كيف ال swap
+
+213
+00:21:31,300 --> 00:21:35,320
+هذا او مش swap override ال override هذا بيحصل فقط
+
+214
+00:21:35,320 --> 00:21:39,720
+اذا كان هذا الجديد اللي انحسب الجديد اقل من ال
+
+215
+00:21:39,720 --> 00:21:44,360
+current من الحالي يعني انها بيحصل استبدال مش swap
+
+216
+00:21:44,360 --> 00:21:48,780
+swap يعني بحط هذا مكانها و هذا مكانها لكن هنا بعمل
+
+217
+00:21:48,780 --> 00:21:52,520
+override قيمة الجديدة بشيلها و بحط بدالة قيمة
+
+218
+00:21:52,520 --> 00:21:58,030
+جديدةتمام فمرة أخرى ال comparison اللي بتحصل بداخل
+
+219
+00:21:58,030 --> 00:22:04,470
+ال min هي ال basic operation و بتحصل بعدد ايش هنا
+
+220
+00:22:04,470 --> 00:22:15,090
+في اللوب الداخلية احنا اولا نبدأ ب I هنا و نحسب ال
+
+221
+00:22:15,090 --> 00:22:18,770
+distances ما بينها و كل اللي فوقها بعدين ننتقل ال
+
+222
+00:22:18,770 --> 00:22:24,660
+I جديد هنا و نحسب ما بينها و كل اللي فوقها صح؟فهذه
+
+223
+00:22:24,660 --> 00:22:30,440
+ال loop قادمة تتنقص في عندي loop خارجية اللي هي I
+
+224
+00:22:30,440 --> 00:22:35,080
+و في loop الداخلية اللي هو J اللي قادمة تتنقص صح
+
+225
+00:22:35,080 --> 00:22:43,820
+فبنفس اللي هو التسلسل تبع ال selection sort تمام
+
+226
+00:22:43,820 --> 00:22:47,500
+فواضح جدا ان هي
+
+227
+00:22:53,720 --> 00:23:13,900
+إنه إيش ال complexity فيه
+
+228
+00:23:13,900 --> 00:23:19,200
+أنه worst case و best caseلأ، لأنه بغض النظر عن
+
+229
+00:23:19,200 --> 00:23:22,460
+إيش الأرقام، إيش النقطة دي بعاد عن بعض، جراب عن
+
+230
+00:23:22,460 --> 00:23:26,920
+بعض، في منهم ناس جراب و ناس بعاد، أي تشكيل محتملة،
+
+231
+00:23:26,920 --> 00:23:31,860
+بغض النظر أنا لازم أعمل نفس عدد العمليات هو هو، أن
+
+232
+00:23:31,860 --> 00:23:35,080
+ألف على كل نقطة و أقارنها بالنقاط الأخرى، و أرجع
+
+233
+00:23:35,080 --> 00:23:39,140
+لبعدها و أقارنها بالنقاط الأخرى، واضح؟ ف big theta
+
+234
+00:23:39,140 --> 00:23:45,060
+of n squaredال problem الأخيرة اللي هي مش هيظل
+
+235
+00:23:45,060 --> 00:23:50,740
+وجهة لحلها بس انا هوضح المثلة ايش هي ان احنا في
+
+236
+00:23:50,740 --> 00:23:56,580
+عندنا حاجة اسمها عندنا بيكون مجموعة من النقاط P1
+
+237
+00:23:56,580 --> 00:24:02,860
+لP7 مثلا على سبيل المثال انا بدي هذا الحدود
+
+238
+00:24:02,860 --> 00:24:08,730
+الخارجيةاللي هي عبارة عن زي polygon بيشمل مجموعة
+
+239
+00:24:08,730 --> 00:24:11,390
+من نفس النقاط يعني هم النقاط بالاصل مافيش فيهم
+
+240
+00:24:11,390 --> 00:24:18,670
+الخطوط هذه اتخيليهم زي هيك هاي هاي
+
+241
+00:24:18,670 --> 00:24:24,230
+one هاي two وين two هاي two هاي لا هم تمانى على
+
+242
+00:24:24,230 --> 00:24:31,690
+فكرة صح هاي تلاتة هاي أربعة هاي خمسةY6 Y7 Y8 هدول
+
+243
+00:24:31,690 --> 00:24:35,730
+النقاط هي كذا ال convex hull تبع هذه النقاط هي
+
+244
+00:24:35,730 --> 00:24:39,930
+عبارة عن ال polygon ال polygon اللي بيمر اللي بيمر
+
+245
+00:24:39,930 --> 00:24:47,030
+على مجموعة فرعية منهم بيمر على مجموعة فرعية
+
+246
+00:24:47,030 --> 00:24:55,510
+المجموعة الفرعية هي 1 3 5 6 7هذا الـ polygon يمر
+
+247
+00:24:55,510 --> 00:24:59,130
+على مجموعة فرمينهم و يشمل بداخله باقي العناصر
+
+248
+00:24:59,130 --> 00:25:04,670
+بيشملهم و بيشمل باقي العناصر التانية العناصر كلها
+
+249
+00:25:04,670 --> 00:25:07,990
+هي عبارة عن points على ال kartesian plane يعني كل
+
+250
+00:25:07,990 --> 00:25:11,770
+point ل X coordinate و Y coordinateفاحنا الآن
+
+251
+00:25:11,770 --> 00:25:17,430
+المطلوب انه لو اعطناكي النقاط اللي او زي ما هم انت
+
+252
+00:25:17,430 --> 00:25:22,970
+تعطينا اللي هو ال convex hull هنا الرسم هذا بتتعبر
+
+253
+00:25:22,970 --> 00:25:26,170
+عن انه لو اتخيلنا النقاط على انها مسامير او دبابيس
+
+254
+00:25:26,170 --> 00:25:30,910
+مثبتة على لوحة و جينا عملنا خيط خارجي او مغيطة هيك
+
+255
+00:25:30,910 --> 00:25:35,530
+خارجية المغيطة هي شكلها او الخيطة ده شكله هو ال
+
+256
+00:25:35,530 --> 00:25:38,630
+polygon المطلوب ال polygon هذا عبارة عن مجموعة من
+
+257
+00:25:38,630 --> 00:25:43,640
+الخطوط المستقيمةكل خط هو عبارة عن خط واصل ما بين
+
+258
+00:25:43,640 --> 00:25:48,680
+نقطتين من نفس نقاط المجموعة الأصلية فالفكرة
+
+259
+00:25:48,680 --> 00:25:55,000
+الأساسية أنه احنا لو كان في أنا نقطتين و
+
+260
+00:25:55,000 --> 00:26:01,600
+الخط الواصل ما بينهم و في أنا نقاط أخرى الخط
+
+261
+00:26:01,600 --> 00:26:05,860
+الواصل ما بيننا اي نقطتين لو جينا هنا و جولت
+
+262
+00:26:05,860 --> 00:26:10,670
+النقطة أو مسكت النقاط الأخرىواحدة واحدة و سألت
+
+263
+00:26:10,670 --> 00:26:15,070
+السؤال هل النقطة هذه واقع على الخط هذا؟ هتكون لأ
+
+264
+00:26:15,070 --> 00:26:19,470
+طيب بقدر أعرف إنها موجودة على الجانب هذا و لا على
+
+265
+00:26:19,470 --> 00:26:24,510
+الجانب هذا؟ بقدر صح؟ الآن لو أنا جيت على هدولة
+
+266
+00:26:24,510 --> 00:26:30,030
+النقطتين و سألت السؤال كافة المقات الأخرى هل هي
+
+267
+00:26:30,030 --> 00:26:34,930
+جاية على جانب واحد و لا موزعة؟هؤلاء النقاط جايين
+
+268
+00:26:34,930 --> 00:26:36,810
+موزّاين، هناك ناس على الجانب هذا و هناك ناس على
+
+269
+00:26:36,810 --> 00:26:40,350
+الجانب هذا أنا بقدر أعرف إذا كان هم جايين على جانب
+
+270
+00:26:40,350 --> 00:26:46,210
+واحد و لا موزّاين من الإشارة صح؟ الآن السؤال لما
+
+271
+00:26:46,210 --> 00:26:50,690
+أخد الآن الخط الواصل ما بين واحد و خمسة وأسأل
+
+272
+00:26:50,690 --> 00:26:54,350
+السؤال هل يتراك كافة النقاط الأخرى و أقع على ناحية
+
+273
+00:26:54,350 --> 00:26:59,560
+و لا في بعضهم هك أو بعضهم هك؟الان خد عندك اربعة و
+
+274
+00:26:59,560 --> 00:27:03,340
+اتنين و اسأل السؤال هذا بعض النقاط خمسة و واحد
+
+275
+00:27:03,340 --> 00:27:07,140
+وقعين على جنب و النقاط الأخرى وقعين على جنب و اخر
+
+276
+00:27:07,140 --> 00:27:11,380
+تبقى هذا الخط لا يصلح ان يكون انصر داخل في ال
+
+277
+00:27:11,380 --> 00:27:16,720
+polygon ال polygon يجب ان كل النقاط تبقى على الجنب
+
+278
+00:27:16,720 --> 00:27:20,920
+وفيش على الجنب التاني هذا الخط فيش اش هنا و
+
+279
+00:27:20,920 --> 00:27:22,160
+الباقين هنا هذا الخط
+
+280
+00:27:25,870 --> 00:27:30,970
+باختصار ال algorithm بدها htg تاخد كل زوج من
+
+281
+00:27:30,970 --> 00:27:40,750
+النقاط و تشوف باقية النقاط وقعين على جانب واحد و
+
+282
+00:27:40,750 --> 00:27:43,050
+لا على جانبين من الخط الواصل بينهم
+
+283
+00:27:47,300 --> 00:27:50,840
+بقيت المقاطعين على جنب واحد ولا موزعين، إذا
+
+284
+00:27:50,840 --> 00:27:55,840
+موزعين، يفجأة لا يصلحماشي الحال هذه فكرة ال
+
+285
+00:27:55,840 --> 00:28:02,240
+algorithm اللي بتعطيكوا إياها ك home work تسووها و
+
+286
+00:28:02,240 --> 00:28:06,480
+تجيبوها معاكوا المحاضرة اللي جاي ان شاء الله للي
+
+287
+00:28:06,480 --> 00:28:11,900
+مافهمش المسألة كويس الكتاب فيه شرح مفصل و برضه
+
+288
+00:28:11,900 --> 00:28:16,520
+كمان شرح لكيف انك انت تحسب ما إذا كانت النقاط جاية
+
+289
+00:28:16,520 --> 00:28:18,260
+على جانب ولا على جانبين
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yNcDYeOA6zs.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yNcDYeOA6zs.srt
new file mode 100644
index 0000000000000000000000000000000000000000..26b63b09d55308a361c1887b2eecfd1d3b5eccc7
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yNcDYeOA6zs.srt
@@ -0,0 +1,1750 @@
+1
+00:00:20,720 --> 00:00:22,880
+بسم الله الرحمن الرحيم الصلاة والسلام علي أشرف
+
+2
+00:00:22,880 --> 00:00:26,960
+المرسلين، اليوم إن شاء الله سنُكمِل موضوع اللي هو الـ
+
+3
+00:00:26,960 --> 00:00:30,760
+.. الـ .. الـ knapsack problem كيف تُحل بـ dynamic
+
+4
+00:00:30,760 --> 00:00:34,380
+programming؟ كنا قد رأينا هذا الكلام، ولكن توقفنا عند الـ
+
+5
+00:00:34,380 --> 00:00:36,740
+memory functions، لم نرَ كيف الـ memory function
+
+6
+00:00:36,740 --> 00:00:41,160
+تُستخدم، أو ما هي استخداماتها؟ تُستخدم في توفير بعض الـ
+
+7
+00:00:41,160 --> 00:00:44,780
+computation. أولاً، نرجع في البداية لنراجع الـ Knapsack
+
+8
+00:00:44,780 --> 00:00:48,160
+Problem، كيف الـ Dynamic Programming تعمل معها؟
+
+9
+00:00:48,160 --> 00:00:53,740
+من الآخر، ننتقل إلى الجدول، الجدول الذي تتراكم
+
+10
+00:00:53,740 --> 00:00:57,060
+فيه الـ sub solutions، وصولاً إلى الـ final solution.
+
+11
+00:00:57,060 --> 00:01:01,900
+في كل واحدة من الـ cells التابعة لهذا الجدول، أولاً، أعمدة
+
+12
+00:01:01,900 --> 00:01:07,520
+الجدول هي الـ capacities من الصفر وصولاً إلى الـ J،
+
+13
+00:01:07,520 --> 00:01:10,580
+اللي هي الـ capacity المعطاة لنا، اللي هي الـ W، يعني
+
+14
+00:01:10,940 --> 00:01:14,800
+اللي مُعطاة لنا في المسألة. هنا كانت المسألة خمسة،
+
+15
+00:01:14,800 --> 00:01:20,680
+والأُسطر هي تراكم الـ item، الـ items، بدايةً من لا
+
+16
+00:01:20,680 --> 00:01:24,720
+شيء إلى الـ item الأول، الثاني، اثنين الأولانيات،
+
+17
+00:01:24,720 --> 00:01:30,230
+الثلاثة الأولانيات، وصولاً إلى الأربعة جميعاً. في كل
+
+18
+00:01:30,230 --> 00:01:34,850
+خلية من خلايا الجدول، نحن نقف لكي نُعبئ الـ value
+
+19
+00:01:34,850 --> 00:01:42,210
+التابعة لها. أول سؤال نقف عنده هو: هل يا ترى هذا الـ item
+
+20
+00:01:42,210 --> 00:01:49,910
+(نحن طبعاً نتحدث عن هذه الخلية، هذا الوزن، الرقم اثنين)
+
+21
+00:01:49,910 --> 00:01:55,910
+هو الوزن التابع له أكبر من الـ capacity الحالية؟ إذا
+
+22
+00:01:55,910 --> 00:02:00,690
+أكبر، يبقى وزن هذا الـ item لوحده أكبر، يبقى مجرد
+
+23
+00:02:00,690 --> 00:02:06,770
+أن نضعه، يبقى تلقائيًا ننزل الـ value، أفضل value سابق
+
+24
+00:02:06,770 --> 00:02:12,470
+بدون وجود الـ I، اللي هو هذا. فأول سؤال، اللي هو: هل
+
+25
+00:02:12,470 --> 00:02:17,410
+الـ J أكبر من الـ W التابعة لهذا الـ item أم لا؟ إذا أكبر،
+
+26
+00:02:17,410 --> 00:02:23,150
+نكمل.  إن لم يكن أكبر، ننزل الـ value، يعني نعيدها مرة
+
+27
+00:02:23,150 --> 00:02:26,990
+ثانيةً. الـ W، هل هي أكبر من الـ J؟ إذا الـ W أكبر من الـ
+
+28
+00:02:26,990 --> 00:02:32,370
+J، ننزل الـ value، وإلا نذهب لنحسب، نحسب ماذا؟ نقرر
+
+29
+00:02:32,370 --> 00:02:35,670
+بمقارنة بين قيمتين، نأخذ الـ maximum بينهما، الـ
+
+30
+00:02:35,670 --> 00:02:39,350
+maximum، آسف، الـ maximum بين قيمتين، القيمة الأولى
+
+31
+00:02:39,350 --> 00:02:44,610
+هي نفسها هذا الـ value، هذا الـ value، والقيمة
+
+32
+00:02:44,610 --> 00:02:46,990
+الثانية، اللي هو ماذا؟  ماذا؟ ماذا؟ كان رمزه
+
+33
+00:02:46,990 --> 00:02:52,890
+F of I ناقص واحد و J، صحيح؟ القيمة الثانية هي ... هو ...
+
+34
+00:02:52,890 --> 00:03:01,130
+هي ماذا؟ الـ item a ... a ...  اثنين، الـ I. يعني لو أنا
+
+35
+00:03:01,130 --> 00:03:06,530
+أريد أن أعود لأرى أين كان هناك مجال، يعني هذه الـ J،
+
+36
+00:03:06,530 --> 00:03:13,850
+ثلاثة، أريد أن أنقص منها الوزن التابع للـ item، فأعود بالرجوع، فيصبح
+
+37
+00:03:13,850 --> 00:03:17,090
+ثلاثة ناقص واحد يساوي اثنين، يعني نعود بالرجوع إلى هنا،
+
+38
+00:03:17,090 --> 00:03:22,010
+ونرى هذا الـ value، اللي هو أفضل value كان متحققاً
+
+39
+00:03:22,010 --> 00:03:28,790
+لو كانت الـ J فيها سعة لهذا الـ I، هذا الـ value، عندما أضع
+
+40
+00:03:28,790 --> 00:03:38,260
+على اليمين هذا الـ item، فيصبح أفضل أم لا؟
+
+41
+00:03:38,260 --> 00:03:41,940
+يعني ماذا؟ هذا الـ value، هذا الـ value هو عبارة عن هذا
+
+42
+00:03:41,940 --> 00:03:47,340
+value، هو عبارة عن f of i ناقص واحد مع j ناقص wi، صحيح؟
+
+43
+00:03:47,340 --> 00:03:53,500
+هذا الكلام نضيف عليه الـ I، الـ value التابع له، إذا كانت هذه
+
+44
+00:03:53,500 --> 00:03:57,340
+الكمية أكبر من هذه الكمية، نأخذها، وإلا نأخذها، صحيح؟
+
+45
+00:03:57,340 --> 00:04:02,940
+Okay، هذا الكلام الآن لو
+
+46
+00:04:02,940 --> 00:04:06,440
+أنا قد خرجت، نحن أين؟
+
+47
+00:04:09,050 --> 00:04:12,290
+لم نره على شكل algorithm، صحيح؟ نحن رأينا هذه الـ
+
+48
+00:04:12,290 --> 00:04:15,390
+conditions فقط، الآن نريد أن نراه على شكل
+
+49
+00:04:15,390 --> 00:04:18,410
+algorithm، أو في الواقع، كـ function ... algorithm
+
+50
+00:04:18,410 --> 00:04:22,730
+نعم، اللي هي الـ algorithm التابعة للـ memory function
+
+51
+00:04:22,730 --> 00:04:27,430
+الـ memory function، ستستخدم الـ memory function هي
+
+52
+00:04:27,430 --> 00:04:32,430
+recursive، وستستخدم الجدول أيضاً، ولكن ما هو
+
+53
+00:04:32,430 --> 00:04:36,630
+الغرض؟ ما هو الهدف؟ صحيح، سيستخدم الجدول، ولكن ليس
+
+54
+00:04:36,630 --> 00:04:40,970
+سيتم تعبئته بالكامل. لن تُحسب كل الخلايا. هذا هو الهدف، أن
+
+55
+00:04:40,970 --> 00:04:45,230
+نوفر بعض الخلايا،  ونحسب ما نحتاجه فقط. يعني هذا
+
+56
+00:04:45,230 --> 00:04:51,550
+يعتمد على هذا، أجل، ولكن هذا لم يدخل في حساب
+
+57
+00:04:51,550 --> 00:04:54,830
+الـ value، فلمَ حسبناه أصلاً؟ كيف تم هذا الكلام؟
+
+58
+00:04:54,830 --> 00:04:57,850
+هيا نرجع ثانيةً إلى الـ function، الـ memory function
+
+59
+00:04:57,850 --> 00:05:02,970
+الـ memory function، اسمها M، فكّر: Memory Function for
+
+60
+00:05:02,970 --> 00:05:06,670
+Knapsack Problem. الـ Memory Function، أول شيء
+
+61
+00:05:06,670 --> 00:05:13,390
+تفعله، أنها تفحص الخلية التابعة للحالة التي
+
+62
+00:05:13,390 --> 00:05:17,490
+هي تريد أن تذهب لتحسبها، إذا كانت الخلية تحتوي على value، يعني
+
+63
+00:05:17,490 --> 00:05:22,170
+محسوب، هذا الـ value مسبقاً، خلاص، نأخذ الـ value.  إن لم يكن
+
+64
+00:05:22,170 --> 00:05:26,390
+محسوباً، تذهب لتستدعي نفسها لحسابه. Okay، فحنا الآن
+
+65
+00:05:26,390 --> 00:05:31,550
+أول استدعاء، تخيّل معي، أول استدعاء نريده ... نريد
+
+66
+00:05:31,550 --> 00:05:34,870
+... نريد ... طبعاً الـ recursion، يبقى نحن نسمّيه من
+
+67
+00:05:34,870 --> 00:05:41,410
+الآخر، يعني ماذا؟ نريد أن نقول: هي M F K، أربعة items، و
+
+68
+00:05:41,410 --> 00:05:47,730
+الـ capacity خمسة. هذا الآن نُعبّر عنه
+
+69
+00:05:47,730 --> 00:05:50,930
+بالشكل التالي.  تذكّروا سؤال في الامتحان الذي
+
+70
+00:05:50,930 --> 00:05:57,910
+كنا قد طلبناه؟ الـ recursive calls tree، وكيف أن كل
+
+71
+00:05:57,910 --> 00:06:02,870
+call يتبعها المزيد من الـ calls، ورسمنا boxes وحطيناها
+
+72
+00:06:02,870 --> 00:06:07,350
+كالتالي. أصلاً كان هناك الـ insertion sort، أو
+
+73
+00:06:07,350 --> 00:06:10,630
+شيء مشابه، أنا الآن سأفعل شيئاً مشابهاً، سأضع في
+
+74
+00:06:10,630 --> 00:06:17,090
+الخلية هذه الـ I، هذا ليس I، وهذا ماذا؟ J، أربعة وخمسة،
+
+75
+00:06:17,090 --> 00:06:26,190
+ماذا يتبع هذا الاستدعاء؟ إذا كان الوزن، الوزن
+
+76
+00:06:26,190 --> 00:06:30,390
+التابع لهذا الـ item أكبر من وزن الـ item الرابع، ما هو الـ
+
+77
+00:06:30,390 --> 00:06:33,970
+items الذي لدي؟ كانت واحد، اثنين، ثلاثة، أربعة،
+
+78
+00:06:33,970 --> 00:06:37,690
+فلنأخذ أوزانها و الـ values التابعة لها أيضاً في هذه اللحظة.
+
+79
+00:06:37,690 --> 00:06:45,850
+هذه الـ table، هذه هي: واحد وزنه اثنين، وهذا واحد،
+
+80
+00:06:45,850 --> 00:06:53,690
+وهذا ثلاثة، وهذا اثنين، الـ values: اثنا عشر، عشرة، عشرين،
+
+81
+00:06:53,690 --> 00:06:59,630
+وخمسة عشر، تمام. الآن، أريد أن آخذ الـ item رقم
+
+82
+00:06:59,630 --> 00:07:06,610
+أربعة، Okay، item رقم أربعة، وزنه اثنين، صحيح؟
+
+83
+00:07:12,000 --> 00:07:16,520
+تمام؟ الاثنين أكبر من الـJ؟ لا، لو أكبر، يبقى وأنا
+
+84
+00:07:16,520 --> 00:07:21,380
+أخطط سآخذ I ناقص واحد، العملية التابعة. الآن ليس
+
+85
+00:07:21,380 --> 00:07:24,580
+أكبر، يبقى الـ Algorithm ستفعل، انظر، ستفعل،
+
+86
+00:07:24,580 --> 00:07:28,180
+أول شيء تفعله، أنها تذهب لتفحص الوزن، هل الـJ
+
+87
+00:07:28,180 --> 00:07:31,980
+أصغر من الوزن؟ تخيّل أن في يدي مصفوفة للأوزان، لمَ
+
+88
+00:07:31,980 --> 00:07:38,200
+عملية هذا العمود؟ هذا هو مصفوفة الـ weights، ماشي
+
+89
+00:07:38,200 --> 00:07:43,360
+الحال؟ سأرى الـ I، قديش وزنه؟ إذا وزنه أكبر من الـ J،
+
+90
+00:07:43,360 --> 00:07:49,120
+يبقى تلقائيًا لن نفعل هذا الكلام، ونخرج تلقائيًا
+
+91
+00:07:49,120 --> 00:07:56,620
+آسف، إذا وزنه أكبر من الـ J، يبقى تلقائيًا سآخذ من الـ
+
+92
+00:07:56,620 --> 00:08:01,340
+I ناقص واحد. لاحظ هنا إنها تذهب لاستدعاء نفسها
+
+93
+00:08:01,340 --> 00:08:05,720
+لحسابها، لكي تذهب لحساب قيمة الـ I ناقص واحد
+
+94
+00:08:05,720 --> 00:08:11,200
+مع G، ولكنها ليست مضطرة لحسابه،
+
+95
+00:08:11,200 --> 00:08:13,740
+ستذهب ... ممكن أن تذهب للجدول، وتجد القيمة
+
+96
+00:08:13,740 --> 00:08:17,440
+محسوبة وجاهزة. هنا، هذا الـ check هو الـ check
+
+97
+00:08:17,440 --> 00:08:20,780
+المحوري في عمل الـ ... الـ function، أنها إذا
+
+98
+00:08:20,780 --> 00:08:26,420
+أقل من الصفر، سنذهب، نحن نبدأ بـ تعبئة الجدول بالكامل بـ
+
+99
+00:08:26,420 --> 00:08:31,100
+ناقص واحد، ناقص واحد، ناقص واحد، كل الخلايا هذه التي
+
+100
+00:08:31,100 --> 00:08:36,040
+يُفترض أنها ستُحسب، سنذهب لعمل initialization بـ
+
+101
+00:08:36,040 --> 00:08:40,220
+-1. فعندما تأتي الـ function وتجد minus one أقل من
+
+102
+00:08:40,220 --> 00:08:43,580
+الصفر، يعني minus one، يعني غير محسوب، فستذهب تحسب، إذا
+
+103
+00:08:43,580 --> 00:08:48,660
+غير ذلك، هي مُحسَبة، فستأخذها، تمام؟ Okay، سنعود ثانيةً
+
+104
+00:08:48,660 --> 00:08:58,010
+لنكمل. هذه الآن، الاثنين ليس أكبر من الـ value، يعني
+
+105
+00:08:58,010 --> 00:09:02,570
+وزن الـ item الرابع، اللي هي القيمة 2، ليس أكبر من
+
+106
+00:09:02,570 --> 00:09:08,870
+J، يبقى نريد أن نذهب لعمل كم استدعاء؟ سنذهب
+
+107
+00:09:08,870 --> 00:09:15,050
+إلى القسمة، صحيح؟ سنفعل استدعاء هنا، وكمان استدعاء
+
+108
+00:09:15,050 --> 00:09:20,290
+ثاني هنا. هذا نقرّنه بمن؟ بأنه يشبه هذا، ونضع عليه
+
+109
+00:09:20,290 --> 00:09:25,290
+الـ value التابع له. فهذا يُنتج عنه استدعاء، أي استدعاء؟
+
+110
+00:09:25,290 --> 00:09:34,670
+الأول، على ماذا؟ I ناقص واحد، يعني ماذا؟ ثلاثة،
+
+111
+00:09:34,670 --> 00:09:42,550
+والـ J هي هي، صحيح؟  خمسة.
+
+112
+00:09:45,590 --> 00:09:50,530
+ماذا أضع هنا؟ أضع هنا الوزن، الوزن، الوزن التابع لـ
+
+113
+00:09:50,530 --> 00:09:56,930
+هذا الـ item، الرابع، هو وزنه هنا ثلاثة.  ما هو وزنه؟ ثلاثة، و
+
+114
+00:09:56,930 --> 00:10:02,750
+هنا ماذا سأقول؟ أجل؟ ثلاثة مع من؟
+
+115
+00:10:02,750 --> 00:10:11,450
+مع الـ J ناقص الوزن التابع ... لمَ الاثنين؟ خمسة ناقص
+
+116
+00:10:11,450 --> 00:10:17,460
+اثنين، لأنها ثلاثة. طيب، هذا الآن استدعاء سيكون
+
+117
+00:10:17,460 --> 00:10:20,760
+على ...  هنا أيضاً الـ item رقم ثلاثة، وزنه ثلاثة،
+
+118
+00:10:20,760 --> 00:10:28,280
+Okay، الآن، هذا الاستدعاء، عندما نأتي هنا، هذا
+
+119
+00:10:28,280 --> 00:10:32,740
+الاستدعاء الذي هو هذا، صحيح؟ عندما نأتي لنرى، لدينا
+
+120
+00:10:32,740 --> 00:10:39,640
+MFKA of ثلاثة، وثلاثة، ثلاثة، وثلاثة، مُحسَب؟ لا،
+
+121
+00:10:39,640 --> 00:10:43,160
+لم يُحسب بعد، صحيح؟  جميعهم غير محسوبين.
+
+122
+00:10:47,200 --> 00:10:53,640
+فندخل هنا، ندخل هنا، يعني نقارن، هل هذا الوزن أكبر
+
+123
+00:10:53,640 --> 00:11:00,940
+من الـ J؟ لا، يبقى ندخل على الـ else، سنفعل أيضاً
+
+124
+00:11:00,940 --> 00:11:06,360
+استدعاءين، سنرى.
+
+125
+00:11:06,360 --> 00:11:12,200
+نتحدث الآن عن الـ item رقم اثنين، هنا الـ J تنقص، كما هي
+
+126
+00:11:12,200 --> 00:11:12,420
+هي
+
+127
+00:11:18,410 --> 00:11:41,330
+ثلاثة ناقص ثلاثة، ثلاثة
+
+128
+00:11:41,330 --> 00:11:42,570
+ناقص ثلاثة، ثلاثة ناقص ثلاثة، ثلاثة، ثلاثة ناقص ثلاثة
+
+129
+00:11:47,710 --> 00:11:52,550
+لا،  ما زال الـ output التابع لها، عندما نعود للأعلى، نضيف عليه
+
+130
+00:11:52,550 --> 00:11:59,310
+الـ value، ولكننا ما زلنا ننزل، كما فعلنا
+
+131
+00:11:59,310 --> 00:12:03,910
+في النهاية، الخمسة، خرجت منها الاثنين، خرجت الثلاثة، Okay.
+
+132
+00:12:03,910 --> 00:12:08,230
+يعني
+
+133
+00:12:08,230 --> 00:12:15,640
+سأغيّره، لأنها ستكون كما هي. يعني هنا ماذا؟ هنا ثلاثة
+
+134
+00:12:15,640 --> 00:12:20,400
+ناقصاً للصفر، وهنا ثلاثة، تنزل كما هي، لأن الـ item رقم
+
+135
+00:12:20,400 --> 00:12:30,090
+اثنين، وزنه واحد. انتبه، هذه الخلية ممكن
+
+136
+00:12:30,090 --> 00:12:34,970
+أن نستغني عنها، ونعمل فقط مربعين صغيرين، لأن هذا السطر
+
+137
+00:12:34,970 --> 00:12:38,130
+كله للـ item رقم أربعة، هذا السطر كله للـ item رقم
+
+138
+00:12:38,130 --> 00:12:41,830
+ثلاثة، هذا الـ item رقم اثنين، والذي يليه سيكون رقم واحد،
+
+139
+00:12:41,830 --> 00:12:46,530
+وكل واحد منهم، خلاص، نسجّل هذا الوزن التابع له، اثنين،
+
+140
+00:12:46,530 --> 00:12:48,670
+هذا الوزن التابع له، ثلاثة، هذا الوزن التابع له واحد، و
+
+141
+00:12:48,670 --> 00:12:52,830
+هذا الوزن التابع له اثنين. اثنين، فهذا الجزء الذي أنا
+
+142
+00:12:52,830 --> 00:12:57,130
+ممكن أن أستغني عنه، هذا في الـ tree، في الرسم، المهم
+
+143
+00:12:57,130 --> 00:13:02,230
+المقصود، أن هذه الـ tree،  هذه الـ recursive calls التي
+
+144
+00:13:02,230 --> 00:13:08,910
+واضح، أن عندما آتي وأدخل على recursive call، أول
+
+145
+00:13:08,910 --> 00:13:12,010
+شيء سيتم فعله، هو فحص ما إذا كانت القيمة الموجودة في
+
+146
+00:13:12,010 --> 00:13:16,090
+الجدول المقابلة لهذا الـ Call، محسوبة أم لا؟
+
+147
+00:13:16,090 --> 00:13:20,350
+إذا كانت محسوبة، سآخذها، يعني أعود على طول، إذا
+
+148
+00:13:20,350 --> 00:13:26,350
+كانت صحيحة، سآخذها. إذا
+
+149
+00:13:26,350 --> 00:13:31,720
+كانت صحيحة، سأدخل هنا. إذا كانت محسوبة، سآخذها. يبقى
+
+150
+00:13:31,720 --> 00:13:35,600
+عملية ماذا؟ ما الذي سيحدث؟ هي ستذهب للـ ... عندما نحن
+
+151
+00:13:35,600 --> 00:13:39,000
+نفعل الاستدعاء الأول، نكون نتساءل عن هذه
+
+152
+00:13:39,000 --> 00:13:44,180
+الخلية، اللي هي أربعة مع خمسة، هذه الخلية، هذه
+
+153
+00:13:44,180 --> 00:13:47,660
+الخلية، لكي أحسبها، يتطلب ذلك أن أحسب ثلاثة مع
+
+154
+00:13:47,660 --> 00:13:52,400
+ثلاثة، وثلاثة مع خمسة، ثلاثة، ثلاثة، وماذا؟ ثلاثة مع
+
+155
+00:13:52,400 --> 00:13:57,840
+خمسة، لستُ بحاجة لحساب هذه، ولا لحساب أي شيء آخر على
+
+156
+00:13:57,840 --> 00:14:03,160
+السطر، في هذا السطر، أبدأ بحساب الباقي. الآن، عندما آتي لأحسب
+
+157
+00:14:03,160 --> 00:14:08,960
+هذه الثلاثة، ثلاثة، أحتاج لحساب الاثنين، صفر، والاثنين، ثلاثة، الاثنين، صفر،
+
+158
+00:14:08,960 --> 00:14:14,460
+الذي هو مُسجّل بالفعل، والاثنين، ثلاثة، التي هي هذه.
+
+159
+00:14:14,460 --> 00:14:17,740
+فبالتالي،
+
+160
+00:14:17,740 --> 00:14:22,160
+الـ
+
+161
+00:14:22,160 --> 00:14:29,620
+memory function تحسب فقط ما نحتاج لحسابه. هي
+
+162
+00:14:29,620 --> 00:14:30,480
+فكرتها
+
+163
+00:14:35,080 --> 00:14:41,040
+طيب؟ هل هناك من لديه سؤال؟ Okay، هكذا نكون قد أنهينا
+
+164
+00:14:41,040 --> 00:14:45,060
+ما هو حل الـ Knapsack بالـ Dynamic
+
+165
+00:14:45,060 --> 00:14:47,520
+Programming، تطبيق الـ Dynamic Programming على الـ
+
+166
+00:14:47,520 --> 00:14:54,060
+Knapsack، ورأيناه سواءً بدون recursion، أو رأيناه بـ
+
+167
+00:14:54,060 --> 00:14:58,300
+recursion، recursion مع memory، يعني تمام؟ الذي كان
+
+168
+00:14:58,300 --> 00:15:05,700
+هذا الجزء، الذي هو 82، ثمانية اثنين، نريد أن نحل
+
+169
+00:15:05,700 --> 00:15:10,120
+من واحد إلى ستة، ولكن غير شامل ثلاثة، باستثناء
+
+223
+00:19:35,950 --> 00:19:39,310
+هاي الـ tree هيك بدي امسك الـ C و أقارنها في العنصر
+
+224
+00:19:39,310 --> 00:19:43,990
+هذه  أجيها أكبر فبتدّش هي مين؟ أعمل مقارنة أخرى
+
+225
+00:19:43,990 --> 00:19:47,590
+هنا وأجيها أكبر تمام فعدد المقارنة الـ comparisons
+
+226
+00:19:47,590 --> 00:19:51,030
+هي اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+227
+00:19:51,030 --> 00:19:52,550
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+228
+00:19:52,550 --> 00:19:52,570
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+229
+00:19:52,570 --> 00:19:52,610
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+230
+00:19:52,610 --> 00:19:53,230
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+231
+00:19:53,230 --> 00:19:53,250
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+232
+00:19:53,250 --> 00:19:53,490
+اللي .. اللي .. اللي .. اللي .. اللي .. اللي ..
+
+233
+00:19:53,490 --> 00:20:08,370
+اللي .. اللي .. اللي .. اللي
+
+234
+00:20:09,140 --> 00:20:14,180
+بينما هنا محتاج مقارنتين فهذا الطريق بالنسبة للبحث
+
+235
+00:20:14,180 --> 00:20:18,400
+عن الـ A في حالة البحث عن الـ A هذي optimal طبعاً؟
+
+236
+00:20:18,400 --> 00:20:24,200
+طيب هذه لو بدأ البحث عن الـ B هذي optimal لأن
+
+237
+00:20:24,200 --> 00:20:28,170
+بيلاقيها بمقارنة واحدة هنا بمقارنتين إذا كنت
+
+238
+00:20:28,170 --> 00:20:32,170
+أبحث عن الـ C هنا ثلاث مقارنات وهنا مقارنتين هذا
+
+239
+00:20:32,170 --> 00:20:34,890
+هو الـ Optimality طيب وأنا بدأت أحكم بالـ
+
+240
+00:20:34,890 --> 00:20:39,250
+Optimality على أساس الـ A ولا الـ B ولا الـ C؟
+
+241
+00:20:39,250 --> 00:20:42,170
+لا، على أساسهم كلهم، ماذا أفعل؟ بأتي وأقول
+
+242
+00:20:42,170 --> 00:20:48,030
+كالتالي، هذه الـ A في الـ Tree خلّيني أقول هذه الـ
+
+243
+00:20:48,030 --> 00:20:52,710
+Tree الأولى هذه الأولى وهذه الثانية الـ Tree
+
+244
+00:20:52,710 --> 00:20:58,170
+الأولى كم مقارنة محتاجة كـ comparison عشان أجد الـ
+
+245
+00:20:58,170 --> 00:21:05,650
+A واحدة، الثانية التي تريد ثانية، ثنتين، الـ B، الـ C، و
+
+246
+00:21:05,650 --> 00:21:11,210
+الـ D، الـ B محتاج مقارنتين هنا وهنا محتاجش مقارنة
+
+247
+00:21:11,210 --> 00:21:18,710
+واحدة، الـ C محتاج مقارنة ثلاث هنا واثنين هنا
+
+248
+00:21:18,710 --> 00:21:24,660
+دعوني أشيل هدول عشان أمشي وأشوش عليها، الـ D أربعة
+
+249
+00:21:24,660 --> 00:21:31,820
+مقارنات وثلاث صح؟ هذا الـ Total بدي أحسب الـ average
+
+250
+00:21:31,820 --> 00:21:34,700
+number of comparisons، الـ average number of
+
+251
+00:21:34,700 --> 00:21:38,500
+comparisons يعني عدد الـ comparisons الإجمالي على
+
+252
+00:21:38,500 --> 00:21:45,540
+عدد العناصر هذا كده؟ عشرة عشرة
+
+253
+00:21:45,540 --> 00:21:46,720
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+254
+00:21:46,720 --> 00:21:47,000
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+255
+00:21:47,000 --> 00:21:47,460
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+256
+00:21:47,460 --> 00:21:48,400
+عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة عشرة
+
+257
+00:21:48,400 --> 00:21:51,380
+عشرة عشرة
+
+258
+00:21:55,430 --> 00:22:00,810
+هنا ثمانية total على أربعة، اثنين، يبقى مين أحسن
+
+259
+00:22:00,810 --> 00:22:05,390
+بالإجمال الـ average تبقى أفضل من الـ average تبقى
+
+260
+00:22:05,390 --> 00:22:08,610
+أفضل، خلاص يبقى أي، هم اللي بيحسبوا الـ optimality لما
+
+261
+00:22:08,610 --> 00:22:10,970
+عندي أربعة عشر، three بيحسبوا الـ optimality بيحسبوه
+
+262
+00:22:10,970 --> 00:22:14,410
+بطريقة، هذا مظبوط على أساس كل بحث في كل العناصر
+
+263
+00:22:14,410 --> 00:22:20,250
+okay، برضه عملية شاقة، مش بس هيك الـ الـ average هذا
+
+264
+00:22:22,200 --> 00:22:26,660
+هنا اختلف الـ Leverage هذا أحسن من هذا، لأن
+
+265
+00:22:26,660 --> 00:22:30,960
+تشكيلته دي أفضل من تشكيلته دي، صح؟ يبقى تشكيل الـ
+
+266
+00:22:30,960 --> 00:22:39,170
+Tree هو اللي العمل الأساسي، فيه عنصر آخر يلعب دور
+
+267
+00:22:39,170 --> 00:22:43,670
+في الـ average وهو إيش؟ نفترض أنه إحنا يوم بنعمل
+
+268
+00:22:43,670 --> 00:22:48,130
+search كتير، searches بتيجي على الـ A أكثر من غيرها
+
+269
+00:22:48,130 --> 00:22:52,130
+أو كتير searches بتيجي على الـ B أو الـ C أكثر من
+
+270
+00:22:52,130 --> 00:22:56,640
+غيرها، يعني مثلاً نفترض أنه إحنا فينا العناصر هدول
+
+271
+00:22:56,640 --> 00:23:00,080
+الـ A والـ B والـ C وهم عناصر في الجدول وهذا
+
+272
+00:23:00,080 --> 00:23:03,240
+الـ index والـ binary tree وbinary search tree هي
+
+273
+00:23:03,240 --> 00:23:07,200
+الـ index تبع هذا الجدول وإحنا جينا رصدنا الـ
+
+274
+00:23:07,200 --> 00:23:12,300
+queries اللي بتيجي على الجدول هذا، بتستعلم عن أنهي
+
+275
+00:23:12,300 --> 00:23:15,840
+على الـ B أكثر ولا على الـ C أكثر ولا على الـ D
+
+276
+00:23:15,840 --> 00:23:21,080
+ولا على الـ A، فجينا سجلنا، جينا أنه من 100 عملية
+
+277
+00:23:21,080 --> 00:23:28,560
+search، عشرة منهم أجى بحث .. بحث على الـ A، 20
+
+278
+00:23:28,560 --> 00:23:33,760
+أجى بحث على الـ B، 40 على الـ C و30، طبعاً إحنا
+
+279
+00:23:33,760 --> 00:23:37,820
+قلنا الـ Total 100، 100 عملية بحث رصدناهم، جينا
+
+280
+00:23:37,820 --> 00:23:41,520
+التوزيع بالنسبة، هذه، هذه نسبة، صح؟ يعني أنا بقدر
+
+281
+00:23:41,520 --> 00:23:47,500
+أقول هذا 10%، 20%، 40% أو 30%، أو بقدر أقول 0.1، 0.2، 0
+
+282
+00:23:47,500 --> 00:23:53,480
+.3، 0.4، 0.3 على أساس أن الـ Total Probability من 0
+
+283
+00:23:53,480 --> 00:23:58,450
+لـ 1 تساوي 1، صح؟ النسب هذه لها دور في الـ Average كيف
+
+284
+00:23:58,450 --> 00:24:02,770
+يعني؟ أنا الآن لما نكون عندي الـ search جايب النسب
+
+285
+00:24:02,770 --> 00:24:10,650
+هذه، ما أقدرش أجمع مجرد average عادي، لازم أقول one
+
+286
+00:24:10,650 --> 00:24:14,530
+comparison ضرب الاحتمالية تبعته، هذا الـ zero point
+
+287
+00:24:14,530 --> 00:24:17,790
+one هو احتمالية مظبوط ولا لأ، النسب هذه
+
+288
+00:24:17,790 --> 00:24:22,250
+probabilities، اثنين ضرب إيش الاحتمالية تبع الـ B
+
+289
+00:24:24,440 --> 00:24:29,080
+الثلاث للضابط، إيش الاحتمالية تبعها الـ C؟ الـ D إيش
+
+290
+00:24:29,080 --> 00:24:33,160
+الاحتمالية تبعها الـ D؟
+
+291
+00:24:33,160 --> 00:24:37,940
+يبقى الآن بدي أجمع المعادلات هذه وأطلع average
+
+292
+00:24:37,940 --> 00:24:42,680
+جديد الآن، هذا الآن خلاص، والـ Total أنا ما لوش أي
+
+293
+00:24:42,680 --> 00:24:52,870
+علاقة الآن، 0.1 صح؟ وهنا 0.4 صح؟ وهنا 1.2 صح؟ وهنا 1
+
+294
+00:24:52,870 --> 00:25:00,190
+.2، المجموع 2.4 زائد 0.5، 2.9، تغير الـ average ولا
+
+295
+00:25:00,190 --> 00:25:06,410
+لا؟ هنا لو بدي أعمل الحساب اللي هي ده برضه بيضّلوا في
+
+296
+00:25:06,410 --> 00:25:10,970
+نفس النسب هذه، لأ، إما آه في نفس النسب واحد ضرب
+
+297
+00:25:10,970 --> 00:25:20,550
+0.2 ضرب 0.4، النسب هذه تابعة للحرف، ضرب 0.3، إيش هنا
+
+298
+00:25:20,550 --> 00:25:26,370
+بيساوي 0.2 و0.2
+
+299
+00:25:26,370 --> 00:25:36,190
+آه و0.8 و0.9، كده بيطلع الـ Total آه
+
+300
+00:25:36,190 --> 00:25:45,080
+هي عشرة و11 و21، الـ Average اختلف، كان 2، هنا 2
+
+301
+00:25:45,080 --> 00:25:49,420
+.1، ضل صح أفضل من الأخرى، بس اختلف، يبقى أندي الـ
+
+302
+00:25:49,420 --> 00:25:53,540
+probabilities هذه أو الـ hit rate أو الـ search rate
+
+303
+00:25:53,540 --> 00:25:58,900
+أو الـ frequency، search frequency، قد إيش من إن عمل
+
+304
+00:25:58,900 --> 00:26:03,120
+search على كل عنصر، له دور في حساب الـ optimality
+
+305
+00:26:03,120 --> 00:26:03,800
+تبع الـ tree
+
+306
+00:26:07,140 --> 00:26:13,720
+أنا بدي أكون عندي عدد معين من العناصر A، B، C، D أو أكثر
+
+307
+00:26:13,720 --> 00:26:17,740
+أقل أو أكثر، وكل عنصر معلوم الـ frequency، الـ
+
+308
+00:26:17,740 --> 00:26:23,780
+search frequency تبعته، بدنا نطلع الـ optimal search
+
+309
+00:26:23,780 --> 00:26:29,330
+tree، ضروري، إذا قدرنا نطلع optimal، معناه ذلك بنعمل
+
+310
+00:26:29,330 --> 00:26:33,150
+الـ index على أساسها، بيصير عملية الـ search أسرع، لو أن
+
+311
+00:26:33,150 --> 00:26:37,590
+الـ tree مش optimal بيصير .. بنجيب اللي على نصه
+
+312
+00:26:37,590 --> 00:26:41,750
+بس يمكن تحسين الأداء، فإحنا هذا اللي عاوزين، عاوزين
+
+313
+00:26:41,750 --> 00:26:45,270
+نعمل الـ binary search tree بحيث تبقى optimal عشان
+
+314
+00:26:45,270 --> 00:26:49,170
+عملية الـ search تبقى أسرع، أسرع، بمعنى أن الـ average
+
+315
+00:26:49,170 --> 00:26:54,070
+search أقل، الـ average number of comparisons في الـ
+
+316
+00:26:54,070 --> 00:27:03,360
+search أقل، هذا الأمر نقدر نعمله بالـ .. هاي هذا
+
+317
+00:27:03,360 --> 00:27:07,220
+المثال اللي كنا بنحكي عنه، نقدر نعمله بالـ dynamic
+
+318
+00:27:07,220 --> 00:27:14,700
+programming، كالتالي، بدنا .. بدنا
+
+319
+00:27:14,700 --> 00:27:20,040
+في الأساس نتخيل أنه أنا العناصر دول اللي عندي ..
+
+320
+00:27:20,040 --> 00:27:20,840
+خلاص امسح هذا
+
+321
+00:27:25,800 --> 00:27:30,500
+لو عندي أنا عدد M من العناصر، الـ trees اللي ممكن
+
+322
+00:27:30,500 --> 00:27:34,380
+تتشكل من هذه الأربعة من هذه العناصر هي ببساطة
+
+323
+00:27:34,380 --> 00:27:38,160
+شديدة، كالتانية، أن أنا لو جيت على العناصر دول و
+
+324
+00:27:38,160 --> 00:27:44,240
+قلت بدي آخذ الأولاني route، الأولاني route، الباقيين
+
+325
+00:27:44,240 --> 00:27:52,680
+هييجوا كلهم مع بعض في الـ H في الـ subtree على اليمين
+
+326
+00:27:52,680 --> 00:27:58,180
+وعلى الشمال ما فيش شيء صح؟ لأن لو بدأ آخذ الـ B root
+
+327
+00:27:58,180 --> 00:28:03,320
+معناته الـ A لحالها هتيجي subtree والـ C والـ D
+
+328
+00:28:03,320 --> 00:28:12,120
+هييجوا subtree، لو بدأ آخذ الـ C root هيجي مين؟ الـ A
+
+329
+00:28:12,120 --> 00:28:13,720
+والـ B subtree
+
+330
+00:28:16,070 --> 00:28:19,190
+طبعاً أنا حاططهم زي كده، بمعنى أن أنا مش عارف كيف
+
+331
+00:28:19,190 --> 00:28:23,030
+هتمشي التشكيلة، هل الـ A في هذه الـ sub root، هل الـ A
+
+332
+00:28:23,030 --> 00:28:26,390
+اللي فوق والبتاعة مش .. مش واضحة عنيني الآن بس
+
+333
+00:28:26,390 --> 00:28:33,150
+المهم موضّح فكرة قليلة عمل اللي .. okay، بعد كده الـ
+
+334
+00:28:33,150 --> 00:28:38,970
+D، آه ما فيش شيء على اليمين صح؟ كلهم جايين sub tree ع
+
+335
+00:28:38,970 --> 00:28:45,360
+الشمال، الفكرة هي ببساطة هي عندي أربعة أوضاع، بدي آخذ
+
+336
+00:28:45,360 --> 00:28:50,700
+الـ Minimum فيهم، كل
+
+337
+00:28:50,700 --> 00:28:57,180
+وضع من هدول قيمته بتتكون من إيش؟ قد إيش الـ cost
+
+338
+00:28:57,180 --> 00:29:02,500
+تبع مقارنة الـ A، ثم قد إيش الـ cost تبع مقارنة الـ
+
+339
+00:29:02,500 --> 00:29:07,600
+sub-tree اللي عنده هنا الـ B والـ two sub-trees
+
+340
+00:29:07,600 --> 00:29:11,700
+هدول، كل sub-tree هفترض أنا أن الـ algorithm
+
+341
+00:29:11,700 --> 00:29:16,420
+هتعطيني الـ optimal تبعها، فأنا هيك عملت Dynamic
+
+342
+00:29:16,420 --> 00:29:19,900
+Programming، أن أنا حولت المشكلة الكبيرة إلى Sub
+
+343
+00:29:19,900 --> 00:29:23,260
+Problems، We will solve الـ Sub Problems برضه بالـ
+
+344
+00:29:23,260 --> 00:29:29,100
+Dynamic Programming ونشوف قد إيش الـ solutions اللي
+
+345
+00:29:29,100 --> 00:29:32,500
+أمامنا، وناخد الأفضل، كل واحد من هدول is a Sub
+
+346
+00:29:32,500 --> 00:29:38,500
+Problem، الآن بتنحسب وبتهاشم، و نأخذ الـ minimum
+
+347
+00:29:38,500 --> 00:29:44,520
+هذه، course، بحق هو عبارة عن، هي على الـ level one، يعني
+
+348
+00:29:44,520 --> 00:29:49,040
+مقارنة واحدة، واحد ضرب إيش الـ hit rate تبعها، الـ
+
+349
+00:29:49,040 --> 00:29:53,140
+search rate تبعها أو الـ frequency، صح؟ هَيْ أنا
+
+350
+00:29:53,140 --> 00:29:59,540
+أكلمك، الحل، واحد ضرب الـ rate تبعها، أنا أرمز لها بالـ P
+
+351
+00:29:59,540 --> 00:30:03,400
+بي، الـ probability تبع بي، وهنا probability تبع
+
+352
+00:30:03,400 --> 00:30:09,210
+إيه؟ هنا الـ Probability تابعة الـ C، كلهم ضرب واحد،
+
+353
+00:30:09,210 --> 00:30:13,090
+كلهم ضرب واحد، صح؟ هنا هذه بأننا نعتمد على الـ
+
+354
+00:30:13,090 --> 00:30:15,870
+Value اللي هتحسبه الـ Algorithm اللي نأخذه و
+
+355
+00:30:15,870 --> 00:30:20,930
+نستخدمه، ماشي، نجمع، نجمع، نجمع، ونجمع، ونشوف الـ
+
+356
+00:30:20,930 --> 00:30:24,810
+minimum، ونعتبر هذا الـ Minimum إلترى، okay؟ الآن
+
+357
+00:30:24,810 --> 00:30:31,150
+اطلع على الجدول اللي معنا هنا، هذا الجدول
+
+358
+00:30:33,910 --> 00:30:37,570
+هنا تجاوزت الـ algorithm وتجاوزت الـ slides الأخرى
+
+359
+00:30:37,570 --> 00:30:41,390
+هنرجع لهم الشرح بس في الأول نحل .. نطلع على المثال
+
+360
+00:30:41,390 --> 00:30:46,330
+هذا، هاي نفس الـ notes ونفس الـ frequencies تبعتهم
+
+361
+00:30:46,330 --> 00:30:48,890
+أنا أحياناً أقول frequency، أحياناً أقول probability
+
+362
+00:30:48,890 --> 00:30:53,750
+أحياناً أقول rate، واضحة أن هنا هي probability أو
+
+363
+00:30:53,750 --> 00:30:54,310
+frequency
+
+364
+00:31:01,200 --> 00:31:05,820
+حنعمل الجدول كالتالي، الجدول هذا، سيبقى كمان هذا
+
+365
+00:31:05,820 --> 00:31:09,640
+الجدول، ركز عليه، هذا الجدول الـ main table، الـ main
+
+366
+00:31:09,640 --> 00:31:13,460
+table، هيبقى عدد أعمدة يساوي عدد العناصر زائد واحد
+
+367
+00:31:13,460 --> 00:31:18,780
+والأسطر برضه عدد العناصر، هما العناصر إن بتساوي
+
+368
+00:31:18,780 --> 00:31:23,700
+أربعة، فبيكون في عندي خمس أعمدة وخمس أسطر، الأعمدة
+
+369
+00:31:23,700 --> 00:31:30,140
+هتبدأ من zero، الأسطر هتبدأ من واحد، بقيت هنا الـ
+
+370
+00:31:30,140 --> 00:31:38,240
+diagonal هذا بحطه كله zeros، الـ diagonal اللي بعده
+
+371
+00:31:38,240 --> 00:31:51,640
+هذا، الـ diagonal اللي بعده بحط
+
+372
+00:31:51,640 --> 00:31:58,290
+فيه الـ probabilities تبع عناصر من الأول للآخر، شوف
+
+373
+00:31:58,290 --> 00:32:04,410
+هنا هذه الخلية إيش الحدثية تبعها؟ واحد، واحد، يبقى
+
+374
+00:32:04,410 --> 00:32:07,090
+الـ probability تبع العنصر الأولاني إيه؟ العنصر
+
+375
+00:32:07,090 --> 00:32:12,590
+الأولاني، الثاني، الثالث، الرابع، okay، probability
+
+376
+00:32:12,590 --> 00:32:16,210
+تبع العنصر الثاني، probability تبع العنصر الثالث،
+
+377
+00:32:16,210 --> 00:32:21,090
+العنصر الرابع، واضح، okay، الخلايا هذه كيف نفهمها؟
+
+378
+00:32:21,090 --> 00:32:27,710
+نفهمها كالتالي، أنه لو أنا عندي الـ Tree من عنصر
+
+379
+00:32:27,710 --> 00:32:35,010
+واحد فقط، هو العنصر الأول، العنصر
+
+380
+00:32:35,010 --> 00:32:41,190
+الأول، يعني الـ A، كده تكلفة الـ Tree هذه الـ
+
+381
+00:32:41,190 --> 00:32:48,510
+search average هي عنصر واحد، هي عنصر واحد، كده تكلفة
+
+382
+00:32:48,510 --> 00:32:54,440
+الـ Tree متكونة من عنصر واحد هو الـ A، التكلفة هي الـ
+
+383
+00:32:54,440 --> 00:32:57,600
+rate تبع الـ .. الـ search rate أو frequency تبع الـ
+
+384
+00:32:57,600 --> 00:33:03,240
+A، صح؟ لأنه هي أبداً واحد ضرب الـ frequency، مظبوط؟
+
+385
+00:33:03,240 --> 00:33:06,860
+فعلاً، بتسجل، لو أنا عندي Tree من عنصر واحد هو
+
+386
+00:33:06,860 --> 00:33:13,540
+عنصر رقم اثنين، الـ B، قد إيش تكلفة دي؟ الـ rate على
+
+387
+00:33:13,540 --> 00:33:17,000
+الـ B، وكذا كان حالة الـ C، وكذا كان حالة الـ D، هي
+
+388
+00:33:17,000 --> 00:33:20,160
+الـ Diagonal هذا نسميه الـ Diagonal الأساسي، الـ Main
+
+389
+00:33:20,160 --> 00:33:23,780
+Diagonal، هذا الـ Next Diagonal، فيه كمان Diagonal
+
+390
+00:33:23,780 --> 00:33:29,780
+آخر، وفيه كمان Diagonal ثالث والأخير، أنا بدي أجيب
+
+391
+00:33:29,780 --> 00
+
+445
+00:38:08,970 --> 00:38:13,130
+محسوبة الـ Pc اللي هي من اثنين إلى ثلاثة اثنين إلى
+
+446
+00:38:13,130 --> 00:38:19,790
+ثلاثة اللي هي الثمانية هذه أم لا الـ
+
+447
+00:38:19,790 --> 00:38:23,230
+optimum لهذا الـ subtree already محسوب الـ Pc مش هي
+
+448
+00:38:23,230 --> 00:38:26,970
+من اثنين إلى ثلاثة الـ AB مش هي من واحد إلى اثنين
+
+449
+00:38:26,970 --> 00:38:30,130
+already محسوب من واحد إلى اثنين هي القيامة الآن
+
+450
+00:38:30,130 --> 00:38:36,010
+بقدر استخدمها تلقائيًا من الجدول خلّي بالك الحسبة
+
+451
+00:38:36,010 --> 00:38:43,030
+بدها تركيز ودقة أكثر هي هنا لما بيجي بحسب لـ
+
+452
+00:38:43,030 --> 00:38:48,730
+C من واحد إلى اثنين اللي هي H هذه احنا حسبناها
+
+453
+00:38:48,730 --> 00:38:54,030
+هتلاقيش سوى الـ K
+
+454
+00:38:56,650 --> 00:39:01,910
+الـ K1 والـ K2 يعني الـ root هل هو يكون one أم
+
+455
+00:39:01,910 --> 00:39:06,970
+يكون الـ root يكون الأولى أم يكون الثانية هنا الـ
+
+456
+00:39:06,970 --> 00:39:12,130
+root الأولى هنا الـ root الثانية فعمومًا الـ K1 يعني
+
+457
+00:39:12,130 --> 00:39:16,010
+احنا بدنا ناخد المينيمم ما بين الحسبتين هدول K1 K2
+
+458
+00:39:16,010 --> 00:39:26,700
+okay بساوي المينيمم ما بين C1 0 و C2 2C1 C1 صفر
+
+459
+00:39:26,700 --> 00:39:34,340
+احنا بنحسب هنا جاهز لهدي احنا بنحسب فيه هدي اللي صفر
+
+460
+00:39:34,340 --> 00:39:43,560
+.4 كيف حسبها على أساس أخذ الجمع هدي واحد صفر و
+
+461
+00:39:43,560 --> 00:39:51,660
+واثنين اثنين اثنين اثنين اللي هدي صح؟ مظبوط؟
+
+462
+00:39:53,600 --> 00:39:57,540
+وجمع عليهم أيضًا كمان الـ probabilities من واحد إلى
+
+463
+00:39:57,540 --> 00:40:00,640
+اثنين يعني الـ probability تبع هذا زي الـ
+
+464
+00:40:00,640 --> 00:40:09,980
+probability تبع هذا 0.1 مع 0.2 اللي بيساوي 0.3
+
+465
+00:40:09,980 --> 00:40:15,760
+حسبها في المرتين هذه الحسبة هي نفسها اللي هي 0.3
+
+466
+00:40:15,760 --> 00:40:20,400
+اللي هي probability of one زي الـ probability تبع
+
+467
+00:40:20,400 --> 00:40:26,580
+الـ A زي الـ probability تبع الـ B واخد الـ minimum ما
+
+468
+00:40:26,580 --> 00:40:30,620
+بين القيمتين هدول نفس الرقمين هدول طولي هقول لنا
+
+469
+00:40:30,620 --> 00:40:38,180
+أم لا هم نفسهم هي الـ 0.5 لهدي و 0.4 لهدي طبعًا
+
+470
+00:40:38,180 --> 00:40:49,700
+هدي عايش هدي الثانية الـ C11 وهي هدي والثاني عايش
+
+471
+00:40:49,700 --> 00:40:51,620
+ثلاثة اثنين
+
+472
+00:40:55,910 --> 00:40:57,970
+صح؟ صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+473
+00:40:57,970 --> 00:41:00,050
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+474
+00:41:00,050 --> 00:41:04,050
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+475
+00:41:04,050 --> 00:41:05,950
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+476
+00:41:05,950 --> 00:41:07,650
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+477
+00:41:07,650 --> 00:41:07,670
+صح صح صح صح صح صح صح صح صح صح صح صح صح صح صح
+
+478
+00:41:07,670 --> 00:41:17,030
+صح صح صح صح صح صح صح صح
+
+479
+00:41:17,030 --> 00:41:23,630
+صح
+
+480
+00:41:23,630 --> 00:41:30,430
+صحيح هي هذه شو اللي هتعملي هتاخدي الـ probabilities
+
+481
+00:41:30,430 --> 00:41:35,670
+تبع الثلاث عناصر هدول وتجمعيهم على بعض اللي هي
+
+482
+00:41:35,670 --> 00:41:47,460
+قداش 0.1 0.2 0.4 يساوي 0.7 هاتِشي تقولي
+
+483
+00:41:47,460 --> 00:41:52,640
+أنه الـ cost تبع من واحد إلى ثلاثة الأفضل الـ
+
+484
+00:41:52,640 --> 00:41:57,420
+optimal cost للعناصر من واحد إلى ثلاثة بتساوي 0.7
+
+485
+00:42:02,900 --> 00:42:06,960
+زائد الـ minimum أنا طلعته أنا حسبته وطلعته برا
+
+486
+00:42:06,960 --> 00:42:11,800
+الحسبة هذه لأن أنا حاسب بس الـ minimum of ثلاث حالات
+
+487
+00:42:11,800 --> 00:42:17,120
+اللي هو k بيساوي واحد k بيساوي اثنين k بيساوي ثلاثة
+
+488
+00:42:17,120 --> 00:42:21,760
+okay لأن إذا k بيساوي واحد يعني الـ root من العنصر
+
+489
+00:42:21,760 --> 00:42:26,000
+الأول اللي هو الـ A قداش .. إيش اللي بضل بي سي الـ بي
+
+490
+00:42:26,000 --> 00:42:29,600
+سي من هنا بتجيبها من هنا بتجيبها انسى هذا الكلام
+
+491
+00:42:29,600 --> 00:42:33,500
+كله يعني أنا .. أنا عملية مش هـ .. أنا هجيبها على
+
+492
+00:42:33,500 --> 00:42:37,900
+طول من الـ .. من الجدول نفسه، اللي هو قداش؟ اثنين
+
+493
+00:42:37,900 --> 00:42:44,340
+.. اثنين إلى ثلاثة، اللي هو هذا .. آه؟ احنا جِدِينا
+
+494
+00:42:44,340 --> 00:42:47,960
+بنحسب في هذه الحين، واحد ثلاثة، بنحسب في هذه، هذه
+
+495
+00:42:47,960 --> 00:42:56,350
+بنحسب فيها فالآن كواحد الـ root الأولى الـ A فعندي بـ
+
+496
+00:42:56,350 --> 00:43:00,750
+C اللي هو اثنين ثلاثة صح اثنين ثلاثة هذه صفر
+
+497
+00:43:00,750 --> 00:43:08,990
+بوينت ثمانية طيب اثنين في عندي هذه وفي عندي هذه
+
+498
+00:43:08,990 --> 00:43:14,670
+هذه اللي هي واحد هي الـ optimum والثانية الـ C اللي
+
+499
+00:43:14,670 --> 00:43:19,310
+هي ثلاثة هي الـ optimum صح أريد أن أجمع هؤلاء
+
+500
+00:43:19,310 --> 00:43:31,910
+الـ probabilities 0.1 زائد 0.4 صح؟ الـ C3 والـ AB 1,2 1,2
+
+501
+00:43:31,910 --> 00:43:43,370
+هذه 0.4 صح؟ مظبوط؟ الـ Totals هذه 0.8 و 0.5 و 0.4
+
+502
+00:43:45,330 --> 00:43:53,750
+نأخذ أصغر واحد 0.4 زائد السبعة 1.1 صح؟ يعني أنا
+
+503
+00:43:53,750 --> 00:43:57,810
+بدل ما أكرر هذه طلعتها برا وحسبت الـ minimum على
+
+504
+00:43:57,810 --> 00:44:01,270
+أساس بس اللي جايين وبعدين الـ minimum اللي هذا
+
+505
+00:44:01,270 --> 00:44:06,810
+جمعته على اللي طلعته برافو العملية أصبحت أنه احنا
+
+506
+00:44:06,810 --> 00:44:14,210
+تراكميًا بنحسب الخلايا هذه الخلية الـ value تبعها
+
+507
+00:44:14,210 --> 00:44:20,450
+بيعتمد على الـ values هدول هذه وهذه زائد أيضًا الصغرى
+
+508
+00:44:20,450 --> 00:44:29,330
+يعني هذه هي الثمانية زائد الواحد والأربعة زائد
+
+509
+00:44:29,330 --> 00:44:35,160
+اللي هي الأربعة هذه اللي جاب لي إياها هذه القاعدة واضحة
+
+510
+00:44:35,160 --> 00:44:44,080
+لما أنا أبدأ أحسب إن شاء الله من C1 إلى C7 هاخد
+
+511
+00:44:44,080 --> 00:44:52,840
+من K1 إلى K7 هشوف كل الـ sub trees وهجمعها وأضيف
+
+512
+00:44:52,840 --> 00:44:58,010
+عليها أو آخذ الـ minimum وأضيفه عليها فعندك الآن
+
+513
+00:44:58,010 --> 00:45:02,410
+أنت مطلوب أن تتبعي الجدول هذا الآن آخر شيء بس شو
+
+514
+00:45:02,410 --> 00:45:07,530
+هو هذا الـ table أن احنا لما اخترنا الأربعة هذه
+
+515
+00:45:07,530 --> 00:45:14,130
+قبل ما نجمعها للسبعة كانت خمسة وثلاثة فلازم الآن
+
+516
+00:45:14,130 --> 00:45:19,790
+هنا أسجل الـ optimum value  بإضافة  أن أسجل الـ root
+
+517
+00:45:19,790 --> 00:45:20,570
+اللي هيكون
+
+518
+00:45:23,400 --> 00:45:26,580
+العنصر اللي هيكون في الـ root عشان هذا يكون optimum
+
+519
+00:45:26,580 --> 00:45:35,480
+إيش الخلية؟ ثلاثة، صح؟ في الخلية المقابلة في
+
+520
+00:45:35,480 --> 00:45:38,300
+جانب الـ root اسمه rootable لأنه مسجّل فيه مين الـ
+
+521
+00:45:38,300 --> 00:45:44,740
+root okay؟ الآن هذا الـ value هيكون في الآخر هو الـ
+
+522
+00:45:44,740 --> 00:45:49,860
+optimum search average 1.7 هذا هو الـ average الـ
+
+523
+00:45:49,860 --> 00:45:54,760
+optimum والجدولة ده بيقول لي مين هيكون الـ root في
+
+524
+00:45:54,760 --> 00:45:58,720
+هذه الحالة هتكون الـ root ثلاثة ثلاثة يعني مين؟
+
+525
+00:45:58,720 --> 00:46:03,480
+يعني الـ C إذا هي الـ root يبقى فيه قبلها الـ A و الـ B
+
+526
+00:46:03,480 --> 00:46:06,660
+أنا جالس أحكي في الـ backtracking عشان أشوف كيف
+
+527
+00:46:06,660 --> 00:46:10,860
+تشكّل الـ tree بناءً على النتيجة هذه النتيجة هذه
+
+528
+00:46:10,860 --> 00:46:16,560
+نتيجتها دولة والـ B خلاص أو آسف الـ D ما فيه غيرها
+
+529
+00:46:16,560 --> 00:46:21,920
+صح؟ الآن هذا الوضع يعني كيف ده يكون الآن هذا
+
+530
+00:46:21,920 --> 00:46:26,640
+الثلاثة لما اجت هنا في هذه الـ A,B الـ A,B هذه يعني
+
+531
+00:46:26,640 --> 00:46:30,840
+من واحد إلى اثنين واحد إلى اثنين وين الـ optimum
+
+532
+00:46:30,840 --> 00:46:36,620
+تبعها؟ هيته الـ optimum هي ده 0.4 بناءً على إيش؟ على
+
+533
+00:46:36,620 --> 00:46:44,140
+مين الـ root؟ الـ two الـ two يعني الـ B خلاص
+
+534
+00:46:44,140 --> 00:46:52,520
+okay هيك تشكّل الـ tree الآن نحسبها تعال هذه إيش الـ
+
+535
+00:46:52,520 --> 00:47:01,020
+rate تبعها؟ هذه إيش الـ rate تبعها؟ ثلاثة هذه إيش
+
+536
+00:47:01,020 --> 00:47:04,880
+الـ rate تبعها؟ اثنين وهذه 0.1 لأن أضغط
+
+537
+00:47:04,880 --> 00:47:10,440
+بهدف واحد أضغط بهدف كم؟ أضغط بهدف كم؟ أضغط بهدف
+
+538
+00:47:10,440 --> 00:47:17,600
+كم؟ ثلاثة إيش بيطلع عندك؟ 0.4 0.
+
+539
+00:47:17,600 --> 00:47:28,960
+بوينت ستة 0.4 0.3 هاي عشرة صح وهي سبعة سبعة عشر واحد
+
+540
+00:47:28,960 --> 00:47:34,340
+وسبع عشر okay فاحنا الآن الـ
+
+541
+00:47:38,810 --> 00:47:41,010
+محاولة أراجع الكلام على كل موضوع على الـ
+
+542
+00:47:41,010 --> 00:47:45,050
+algorithm عمليًا كيف بتطبق الكلام هذا على الكمبيوتر
+
+543
+00:47:45,050 --> 00:47:48,950
+وبشوف برضه الـ efficiency تبعته من ناحية الـ space
+
+544
+00:47:48,950 --> 00:47:50,930
+and time يعطيكم العافية
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yrhAUH-pzm8.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yrhAUH-pzm8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b2b6d6e180b06b9d786080de4e756b0869d74442
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yrhAUH-pzm8.srt
@@ -0,0 +1,1298 @@
+1
+00:00:20,740 --> 00:00:23,360
+ماشي الحال بسم الله الرحمن الرحيم الصلاة والسلام
+
+2
+00:00:23,360 --> 00:00:28,180
+علي أشرف المرسلين اليوم إن شاء الله نكمل في نفس
+
+3
+00:00:28,180 --> 00:00:32,600
+الإطار اللي هو الـ brute force algorithms بنطلع على
+
+4
+00:00:32,600 --> 00:00:37,640
+مجموعة أخرى من الـ problems بنقول عنها إنها
+
+5
+00:00:37,640 --> 00:00:42,390
+combinatorial problems وبنقول على التعامل معها
+
+6
+00:00:42,390 --> 00:00:46,350
+بقالية الـ brute force أنه exhaustive search يعني
+
+7
+00:00:46,350 --> 00:00:50,150
+كلمة exhaustive search الآن لازم تبقى مرتبطة في
+
+8
+00:00:50,150 --> 00:00:56,170
+الذهن بأنها هي قالية الـ brute force لما تستخدم في
+
+9
+00:00:56,170 --> 00:00:59,470
+الـ combinatorial problems شو يعني combinatorial
+
+10
+00:00:59,470 --> 00:01:02,150
+problems؟ هنشوف في الـ examples الثلاثة هدولة
+
+11
+00:01:02,150 --> 00:01:07,390
+combinatorial بمعنى أن الحل هو عبارة عن combination
+
+12
+00:01:07,390 --> 00:01:14,250
+من العناصر، هرجع ثانية لتوضيح هذه الفكرة بعد ما نخلص
+
+13
+00:01:14,250 --> 00:01:17,890
+الـ examples المهم الـ examples اللي قلناهم الثلاثة
+
+14
+00:01:17,890 --> 00:01:21,450
+very common problems اللي هو الـ traveling salesman
+
+15
+00:01:21,450 --> 00:01:24,690
+problem و الـ knapsack و الـ assignment problem، هطلع
+
+16
+00:01:24,690 --> 00:01:28,850
+عليهم المسائل و نشوف حلّهم بطريقة الـ brute force
+
+17
+00:01:29,320 --> 00:01:33,100
+لهم حلول أخرى مختلفة غير الـ brute force أكثر
+
+18
+00:01:33,100 --> 00:01:37,020
+كفاءة من الـ brute force، بس الآن هدفنا أن نشوف
+
+19
+00:01:37,020 --> 00:01:39,920
+كيف قوالب الـ brute force ممكن تطبق على هذه
+
+20
+00:01:39,920 --> 00:01:44,140
+المسائل، المسألة الأولى اللي هي traveling salesman
+
+21
+00:01:44,140 --> 00:01:48,120
+problem، بيكون في عندنا مجموعة من الـ cities. The
+
+22
+00:01:48,120 --> 00:01:53,980
+problem asks to find a shortest tour or trip tour
+
+23
+00:01:53,980 --> 00:02:01,140
+يعني رحلة through بتمر على given set of N cities، N
+
+24
+00:02:01,140 --> 00:02:07,660
+cities اللي الـ tour هادي بتزور each city exactly
+
+25
+00:02:07,660 --> 00:02:14,360
+once، ثم بعدها returns to the city where it started
+
+26
+00:02:14,360 --> 00:02:18,490
+ترجع على المدينة اللي بدأت منها، الـ N أسلوب الـ
+
+27
+00:02:18,490 --> 00:02:21,790
+brute force في التعامل مع هذه المسألة أنه أول شيء
+
+28
+00:02:21,790 --> 00:02:26,090
+قبل أسلوب التعامل مع المسألة، المسألة بنعبر عنها
+
+29
+00:02:26,090 --> 00:02:31,810
+دايماً بـ graph، الـ graph هذا كل city بيرمز إليها بـ
+
+30
+00:02:31,810 --> 00:02:39,390
+node في الـ graph، بعد
+
+31
+00:02:39,390 --> 00:02:45,250
+ذلك كل طريق موجودة من مدينة إلى أخرى بيرمز إليها بـ
+
+32
+00:02:45,250 --> 00:02:50,480
+edge، فأنا هناما فيش داعي أرسم أنا بس فيها إن زي ما
+
+33
+00:02:50,480 --> 00:02:54,340
+أنتم شايفين من A لـ C فيه طريق، الطريق و الـ cost
+
+34
+00:02:54,340 --> 00:02:59,080
+تبعته، هذا الطريق المباشر صح زي ما أنتم شايفين من A
+
+35
+00:02:59,080 --> 00:03:05,920
+في عندي ثلاث طرق إلى الثلاث مدن الأخريات طبعاً
+
+36
+00:03:05,920 --> 00:03:11,550
+واضح إن هنا N بتساوي أربع، أربع مدن هما صح، في طريق
+
+37
+00:03:11,550 --> 00:03:14,350
+من كل واحدة من المدن إلى الثلاث التانية في هذا الـ
+
+38
+00:03:14,350 --> 00:03:23,430
+example، وكل طريق عليه الـ cost طبعاً، okay، فهذا اللي
+
+39
+00:03:23,430 --> 00:03:27,910
+هو الـ representation للـ problem، أن نشوف إيش المدن
+
+40
+00:03:27,910 --> 00:03:30,570
+اللي عندنا وإيش الطرق اللي ما بينهم وإيش التكاليف
+
+41
+00:03:30,570 --> 00:03:36,610
+بنعبر عن ذلك بالـ graph، الآن الـ solution هيكون
+
+42
+00:03:36,610 --> 00:03:44,210
+عبارة عن رحلة من A لـ C من C لـ B مثلاً من B لـ D ثم
+
+43
+00:03:44,210 --> 00:03:50,200
+عودة ثانية إلى A، هذا إلى إيه آسف، هذا عبارة عن
+
+44
+00:03:50,200 --> 00:03:56,680
+possible solution، محتمل حل محتمل، ما نعرفش هل هو الحل
+
+45
+00:03:56,680 --> 00:04:00,360
+صحيح ولّا لأ إلا لما نقارنه بالحلول الأخرى ونشوف
+
+46
+00:04:00,360 --> 00:04:03,080
+هل هو.. إيش الـ.. إيش الهدف؟ الهدف أن يكون أقل
+
+47
+00:04:03,080 --> 00:04:10,400
+تكلفة، okay، وين هنا shortest، shortest بمعنى تكلفة
+
+48
+00:04:10,400 --> 00:04:15,500
+أقل، أو إذا كانت هذه عبارة عن مسافة، الأرقام هي
+
+49
+00:04:15,500 --> 00:04:17,740
+بتعبر على المسافة، فـ shortest يعني أقل مسافة
+
+50
+00:04:18,030 --> 00:04:22,610
+المهم، هاي الـ problem وهي التمثيلها أو التعبير عنها
+
+51
+00:04:22,610 --> 00:04:28,150
+بشكل رياضي اللي هو على شكل graph، الحل بالـ brute
+
+52
+00:04:28,150 --> 00:04:34,150
+force approach، بأسلوب الـ brute force أنه احنا
+
+53
+00:04:34,150 --> 00:04:38,670
+بنجي بنعمل combinations، كل الـ combinations
+
+54
+00:04:38,670 --> 00:04:51,640
+الممكنة، يعني هذا A, B, C, D, A، C, D, B, A،
+
+55
+00:04:51,640 --> 00:04:55,640
+C،
+
+56
+00:04:55,640 --> 00:05:01,080
+هذا combination وهذا combination صح؟ بنعمل كافة
+
+57
+00:05:01,080 --> 00:05:04,480
+الـ possible combinations، من هنا جاية كلمة
+
+58
+00:05:04,480 --> 00:05:07,640
+combinatorial problems، صح؟ كافة الـ combinations
+
+59
+00:05:07,640 --> 00:05:13,760
+الممكنة، وبنروح وبنحسب في الآخر الـ cost لهذه الـ tour
+
+60
+00:05:15,320 --> 00:05:20,040
+الـ Cost هي عبارة عن مجموعة إيش؟ مجموعة الـ
+
+61
+00:05:20,040 --> 00:05:25,300
+distances ما بين المدن، من A لـ B قد إيش؟ من B لـ C
+
+62
+00:05:25,300 --> 00:05:29,580
+قد إيش؟ من C لـ D؟ من D لـ A؟ خلاص وصلنا ورجعنا على A
+
+63
+00:05:29,580 --> 00:05:34,280
+نجمع المجموعة، فاللي إحنا شايفينه عندنا هنا إنه هي
+
+64
+00:05:34,280 --> 00:05:39,300
+مجموعة من الـ possible combinations، وهي الـ length
+
+65
+00:05:39,300 --> 00:05:40,620
+أو الـ cost تبعها
+
+66
+00:05:43,120 --> 00:05:49,400
+وهي بعد ذلك في الآخر واضح أن 11 هي أقل شيء فهي الـ
+
+67
+00:05:49,400 --> 00:05:52,260
+optimal، optimal، المهم في المجموعة هذه، بس المجموعة
+
+68
+00:05:52,260 --> 00:05:57,340
+هذه مش هي كل الـ combinations الممكنة، الـ
+
+69
+00:05:57,340 --> 00:06:01,900
+combinations الممكنة إن يكون في عندي N number of
+
+70
+00:06:01,900 --> 00:06:03,700
+elements
+
+71
+00:06:16,180 --> 00:06:22,560
+قد إيش الـ number
+
+72
+00:06:22,560 --> 00:06:30,880
+of possible combinations
+
+73
+00:06:30,880 --> 00:06:37,440
+اللي بيكون عندي in number of elements في مجموعة
+
+74
+00:06:37,440 --> 00:06:42,320
+قد إيش عدد الـ combinations اللي ممكن تشكيلها من هدول
+
+75
+00:06:42,320 --> 00:07:06,180
+العناصر is factorial، آه is factorial، ماشي تمام
+
+76
+00:07:06,180 --> 00:07:12,950
+هذا الرقم مهم لنا، أكيد مهم، ليش؟ لأن إحنا لما بدنا
+
+77
+00:07:12,950 --> 00:07:15,170
+نحكي عن الـ analysis أو الـ performance تبع الـ
+
+78
+00:07:15,170 --> 00:07:18,510
+algorithm، الـ analysis أو واضح إنه الـ algorithm
+
+79
+00:07:18,510 --> 00:07:22,170
+بدها تعمل generation لكل هذه الـ combinations، تمر
+
+80
+00:07:22,170 --> 00:07:29,430
+عليهم كلهم، تعطي لكل واحدة الـ جمع تبعها، وتطلع لي في
+
+81
+00:07:29,430 --> 00:07:35,810
+الآخر الـ minimum، كيف؟
+
+82
+00:07:35,810 --> 00:07:43,220
+يعني مثلاً في عندي أربع cities، قد إيش عدد الـ
+
+83
+00:07:43,220 --> 00:07:45,980
+combinations المحتمل اللي ممكن أشكّلها من الـ A والـ B
+
+84
+00:07:45,980 --> 00:07:56,300
+والـ C والـ D؟ 2 أُس 4، ستة عشر تشكيلة، صح ولّا أنا غلطان؟
+
+85
+00:07:56,300 --> 00:08:02,660
+مش بتطلع أربعة factorial؟ ما هي.. ما هي الـ.. آسف
+
+86
+00:08:02,660 --> 00:08:05,940
+آسف، أنا مش قولت.. أربعة factorial، نعم، أربعة
+
+87
+00:08:05,940 --> 00:08:10,830
+factorial اللي هي اللي هي واحد في اثنين في ثلاثة في
+
+88
+00:08:10,830 --> 00:08:18,050
+..يعني أربعة وعشرين، صحيح، أربعة وعشرين، أربعة
+
+89
+00:08:18,050 --> 00:08:23,370
+factorial، okay، لأن
+
+90
+00:08:23,370 --> 00:08:30,470
+لو خمسة، بقت مائة وعشرين، مائة وعشرين اللي
+
+91
+00:08:30,470 --> 00:08:36,490
+هي أربعة وعشرين ضرب خمسة، لو ستة، مائة وعشرين ضرب
+
+92
+00:08:36,490 --> 00:08:42,610
+ستة، مصبوط؟ ليش أنا كتبت الأرقام هذه؟ عشان تبدأ يصيب
+
+93
+00:08:42,610 --> 00:08:51,000
+عندك تصور لنمو الـ execution time، آه لو عندي بس أربع
+
+94
+00:08:51,000 --> 00:08:55,420
+مدن، بنفحص الـ algorithm، بنفحص أربعة وعشرين
+
+95
+00:08:55,420 --> 00:09:00,240
+combination، لو صار خمس مدن، بنفحص مائة وعشرين، لو
+
+96
+00:09:00,240 --> 00:09:04,340
+ستة، بنفحص سبعمائة وعشرين، الـ..الـ..الزمن بي-
+
+97
+00:09:04,340 --> 00:09:08,020
+بيتزايد، الزمن اللي هو بِيرتبِط بعدد، عدد الـ
+
+98
+00:09:08,020 --> 00:09:15,240
+combinations، صح؟ بتزايد بشكل سريع جداً، هذا لما
+
+99
+00:09:15,240 --> 00:09:21,780
+نكون في عندي أنا أي الـ algorithm، الـ time تبعها N
+
+100
+00:09:21,780 --> 00:09:28,120
+factorial، بمعنى إنه في الآخر هيبقى Big O of N
+
+101
+00:09:28,120 --> 00:09:37,920
+factorial، هذا شيء يعني غير مرغوب، صح؟ okay، الآن
+
+102
+00:09:37,920 --> 00:09:44,330
+إحنا في عندنا قضية وهي أو ملاحظة وهي إنه الـ
+
+103
+00:09:44,330 --> 00:09:48,430
+combinations هذه اللي
+
+104
+00:09:48,430 --> 00:09:54,310
+أمامنا هي N زائد واحد، يعني أنا فيها A وB وC وD هدول
+
+105
+00:09:54,310 --> 00:09:56,990
+هم عدد المدن الأصلية، وضفت عليهم الـ A لأنه أنا
+
+106
+00:09:56,990 --> 00:10:03,810
+برجع على الـ A هذا
+
+107
+00:10:03,810 --> 00:10:08,630
+الشغل الثاني إن في عندي بعض الـ solutions أو
+
+108
+00:10:08,630 --> 00:10:13,220
+بعض الـ combinations في الآخر هي نفسها، بس واحدة
+
+109
+00:10:13,220 --> 00:10:19,820
+بتبقى مقلوبة لأخرى، يعني لو أنا جيت A B C D A أو جيت
+
+110
+00:10:19,820 --> 00:10:25,720
+A D C B A،
+
+111
+00:10:25,720 --> 00:10:30,080
+من ناحية الـ cost نفسها بالنسبة للرجل هذا الـ
+
+112
+00:10:30,080 --> 00:10:36,850
+salesman، هتبقى مش مفرقة معاه، فعلياً عدد الـ
+
+113
+00:10:36,850 --> 00:10:41,750
+combinations، إذا الـ algorithm في عندها ولو طريقة
+
+114
+00:10:41,750 --> 00:10:47,250
+صغيرة إنها تميّز ما بين إن إن الاثنين هدول هم
+
+115
+00:10:47,250 --> 00:10:51,270
+نفس الشيء بس واحدة مقلوبة للأخرى، وبالتالي تفحص
+
+116
+00:10:51,270 --> 00:10:55,790
+واحدة وما تفحصش الأخرى، أو من الأصل تعمل generate
+
+117
+00:10:55,790 --> 00:11:01,390
+للوحدة وما تعملش generate للتانية، فباختصار
+
+118
+00:11:01,390 --> 00:11:06,680
+علينا نص الزمن، ولّا لا؟ صح، نختصر نص الزمن، بس حتى هذا
+
+119
+00:11:06,680 --> 00:11:12,600
+نص الزمن أنا
+
+120
+00:11:12,600 --> 00:11:16,960
+بقول ربما نقدر نحط قاية إنه هو بس يعمل generation
+
+121
+00:11:16,960 --> 00:11:23,320
+لواحدة والتانية ما يعملش generation لها، يعني إذا
+
+122
+00:11:23,320 --> 00:11:29,550
+أخذ النص هذا بشكل أو بآخر، هذا النص الآن ما يكرروش
+
+123
+00:11:29,550 --> 00:11:34,590
+كنص في..في الـ..في..في tour الثاني، بس بقى ده
+
+124
+00:11:34,590 --> 00:11:37,610
+ما أقوله إذا..إذا كانت الـ algorithm قادرة على
+
+125
+00:11:37,610 --> 00:11:44,010
+eliminating، إنها تـ..تـ..تـ..تـ..تستثني اللي
+
+126
+00:11:44,010 --> 00:11:49,550
+هو المتـ..المتطابقات، أو يعني عكس بعض، فهيوفر
+
+127
+00:11:49,550 --> 00:11:54,210
+علينا نص الزمن، بس النص هذا في الآخر هيجي زي هيك
+
+128
+00:11:54,210 --> 00:12:01,980
+ما عنديش أحطه هنا، ما عنديش أحطه هنا، النص هذا يجعل الـ 24
+
+129
+00:12:01,980 --> 00:12:08,820
+يصبح 12، والـ 120 يصبح 60، والـ 720 يصبح 360، صح؟
+
+130
+00:12:08,820 --> 00:12:14,620
+لكن لاحظي إنه لازال معدل التزايد في الزمن معدل
+
+131
+00:12:14,620 --> 00:12:18,260
+سريع جداً، يعني معدل، يعني بتطلع من 12 مرة واحدة 60،
+
+132
+00:12:18,260 --> 00:12:25,080
+بس بزيادة N plus one، بس بزيادة N واحدة بتخلي الزمن
+
+133
+00:12:25,080 --> 00:12:30,720
+يضاعف خمس مرات، من 60 لـ 300، خمس أضعاف، 60 هنا
+
+134
+00:12:30,720 --> 00:12:34,120
+..هنا زادت واحدة الـ N، الزمن ضاعف خمس مرات، هنا
+
+135
+00:12:34,120 --> 00:12:41,660
+ضاعف قد إيش؟ حوالي ست مرات، بالظبط ست مرات، من الـ 60
+
+136
+00:12:41,660 --> 00:12:45,860
+لـ 360، واضح؟ فهو معدل التزايد هذا هو اللي
+
+137
+00:12:45,860 --> 00:12:50,050
+بيخوفنا أو اللي إحنا معناه ننقبض منه، يعني معدل التزايد
+
+138
+00:12:50,050 --> 00:12:53,510
+معدل التسارع، تمام، هذا بالنسبة لـ Traveling
+
+139
+00:12:53,510 --> 00:12:56,490
+Salesman Problem، بالتالي وضحت الـ problem، وضحت الـ
+
+140
+00:12:56,490 --> 00:13:00,990
+approach تبعها، كيف يعني نتعامل معاها بالـ brute
+
+141
+00:13:00,990 --> 00:13:05,090
+force، وضحت الـ complexity تبعها أيضاً كذلك الحل، وضح
+
+142
+00:13:05,090 --> 00:13:09,030
+ليش إحنا مصنفينها إنها combinatorial problem، لأن
+
+143
+00:13:09,030 --> 00:13:12,250
+الحلول تبعها هي أو الحلول تبعها هي بقى combination
+
+144
+00:13:12,250 --> 00:13:18,190
+من عناصر الـ problem، الثاني اللي هو الـ knapsack problem
+
+145
+00:13:35,720 --> 00:13:39,980
+بيكون فيه عندي هو، عادة لما بتشرح الـ problem هادي
+
+146
+00:13:39,980 --> 00:13:43,840
+بالـ knapsack، كلمة knapsack معناها اللي هي حقيبة
+
+147
+00:13:43,840 --> 00:13:53,260
+حقيبة أو كيس أو جراب أو شنطة، مش عارف، المهم عبارة
+
+148
+00:13:53,260 --> 00:13:57,880
+عن حقيبة صغيرة، عادة لما بتنشرح الـ problem هذه
+
+149
+00:13:57,880 --> 00:14:02,420
+بتنشرح على أساس إنه في واحد جاي حرامي، بدو ينزل على
+
+150
+00:14:02,420 --> 00:14:06,340
+بيت ومعاه الحقيبة الصغيرة هذه، ماشي صغيرة عشان
+
+151
+00:14:06,340 --> 00:14:09,960
+يقدر يسلك حاله في..في..في..وهو بينطلع على
+
+152
+00:14:09,960 --> 00:14:16,090
+الصور ولّا بـ..المهم، فهدفه إنه يلم من البيت
+
+153
+00:14:16,090 --> 00:14:21,330
+اللي هو دخل عليه، يلم أثمن، يعني ما..ما..ما خفيف
+
+154
+00:14:21,330 --> 00:14:27,510
+..ما..إيش؟ ما خفيف وزنه وأغلى ثمنه، صح؟ آه نعم
+
+155
+00:14:27,510 --> 00:14:33,990
+فصارت المسألة إنه لو عندي أنا limited size أو
+
+156
+00:14:33,990 --> 00:14:39,750
+limited weight، وعندي مجموعة من الـ items متبينين في
+
+157
+00:14:39,750 --> 00:14:45,490
+الوزن وفي الثمن أو في الـ price، بدي ألم مجموعة
+
+158
+00:14:45,490 --> 00:14:51,230
+فرعية من هذه الـ items اللي تحقق..اللي تقدر تحطها
+
+159
+00:14:51,230 --> 00:14:54,050
+في الـ limited weight هذا أو الـ limited size، وفي
+
+160
+00:14:54,050 --> 00:14:59,870
+نفس الوقت تبقى أغلى أو أعلى قيمة، okay، فأنا عندي
+
+161
+00:14:59,870 --> 00:15:06,110
+هنا في المثال هذا في أربع items، الـ item الارتفاع
+
+162
+00:15:06,110 --> 00:15:11,770
+هذا يعبر عن الوزن، الـ weight، سبعة، ثلاثة، أربعة، خمسة
+
+163
+00:15:11,770 --> 00:15:15,030
+وكل item له السعة هذا، اثنين، أربعين، هذا اثنا عشر، هذا
+
+164
+00:15:15,030 --> 00:15:19,370
+أربعين، هذا خمسة وعشرين، الـ knapsack اللي معانا بتقدر
+
+165
+00:15:19,370 --> 00:15:29,300
+بس لعند عشرة، الوزن عشرة، أنا بقدر أحط فيها هذا واللي
+
+166
+00:15:29,300 --> 00:15:32,900
+جنبه، بعد كده خلاص، بتنتهي ليه؟ أجده أحط السبعة والـ
+
+167
+00:15:32,900 --> 00:15:38,980
+الأربعة، لأ ما بقدرش، ما يكفيش، التلاتة والأربعة، يا
+
+168
+00:15:38,980 --> 00:15:43,760
+آسف، يعني هذا رأيت اثنين وثلاثة، اثنين وخمسة، بيبقى
+
+169
+00:15:43,760 --> 00:15:47,480
+عندي ثمانية، وفي معاه سعة، المفروض هذه سعة على
+
+170
+00:15:47,480 --> 00:15:50,880
+الفاصل، يعني المفروض هو إذا شاطر بيستفيد من السعة
+
+171
+00:15:50,880 --> 00:15:55,460
+بشكل أكثر، أحسن، الثلاثة وأربعة، أربعة وخمسة، آه
+
+172
+00:15:55,460 --> 00:16:00,100
+المهم هذا أيضاً combinations، الـ..الـ..الـ..لما
+
+173
+00:16:00,100 --> 00:16:03,320
+إحنا بنقول كذا وكذا، هذه الـ combinations، فالـ..الـ
+
+174
+00:16:03,320 --> 00:16:07,240
+brute force approach بيتعامل مع المسألة دي بأنه بي-
+
+175
+00:1
+
+223
+00:20:15,900 --> 00:20:19,660
+نلوب، فيها عملية أساسية وإذا اتحقق الشرط
+
+224
+00:20:19,660 --> 00:20:23,640
+بنروح بنعمل مثلاً Swap أو بنعمل Replace أو كده، فده
+
+225
+00:20:23,640 --> 00:20:30,790
+كده وهنا نفس الشيء، هنا يعني هذه 11 لأن 11 أكبر من
+
+226
+00:20:30,790 --> 00:20:36,830
+10 فما حسبناش، مافي داعي أن نحسب الـ total
+
+227
+00:20:36,830 --> 00:20:43,070
+value مظبوط؟ okay، إنما هنا حساب الـ weight هذه لازم
+
+228
+00:20:43,070 --> 00:20:45,390
+تنعمل للجميع، حساب الـ weight لازم تنعمل للجميع على
+
+229
+00:20:45,390 --> 00:20:49,470
+أساسها بتقرر إذا نعمل حساب الـ value، الـ total value
+
+230
+00:20:49,470 --> 00:20:56,840
+ولا لأ، okay، واضح من هنا أن الـ best value 65، أي أكبر
+
+231
+00:20:56,840 --> 00:21:00,600
+واحدة في .. وبالتالي هذه الـ combination هي الـ
+
+232
+00:21:00,600 --> 00:21:04,040
+solution، هذه الـ combination أن نحط ثلاثة مع
+
+233
+00:21:04,040 --> 00:21:10,520
+أربعة، ماشي، ثلاثة مع أربعة، صح أنه إجمالي سبعة أقل
+
+234
+00:21:10,520 --> 00:21:15,660
+يعني في عندي .. في عندي ثلاثة ولكن لا يمكن أن استفيد
+
+235
+00:21:15,660 --> 00:21:17,820
+من هذه الثلاثة بأي حال من الأحوال، أفضل من
+
+236
+00:21:17,820 --> 00:21:23,840
+الاستفادة اللي اتحققت في هذا الـ solution، هذا هو الـ
+
+237
+00:21:23,840 --> 00:21:31,980
+most valuable available subset، الـ total value هو
+
+238
+00:21:31,980 --> 00:21:36,160
+هيث كل واحد له value، يعني هذا ثلاثة، الـ value هو
+
+239
+00:21:36,160 --> 00:21:40,060
+اتمانية، وأربعة الـ value  أربعة وأربعون، أتماش، و
+
+240
+00:21:40,060 --> 00:21:48,560
+أربعين واثنين، لأ هو احنا بنحكي عن ثلاثة
+
+241
+00:21:48,560 --> 00:21:53,470
+وأربعة، هاي ثلاثة وأربعة هي item 3 و item 4، أربعة وأربعون
+
+242
+00:21:53,470 --> 00:21:57,150
+وخمسة وعشرون، وخمسة وستين، أنا كنت بقول ثلاثة و
+
+243
+00:21:57,150 --> 00:22:05,610
+أربعة بتطلع على الوزن واضح، فعندي هنا الآن brute
+
+244
+00:22:05,610 --> 00:22:09,070
+force، يعني لازم تلف على كل الـ combinations أو كل
+
+245
+00:22:09,070 --> 00:22:13,490
+الـ subsets اللي عددهم two to the N، يبقى T of N
+
+246
+00:22:13,490 --> 00:22:19,790
+بساوي two to the N، يبقى الـ complexity  هو
+
+247
+00:22:21,560 --> 00:22:26,960
+أقدر أقول Big O ولا أقول Big theta؟ لحظة أسألي نفس
+
+248
+00:22:26,960 --> 00:22:30,940
+السؤال أنه في worst case وفي best case؟ لأ مافيش، صح؟
+
+249
+00:22:30,940 --> 00:22:36,740
+فهي Big theta of 2 to the N، وهذا أيضاً زي ما قلنا
+
+250
+00:22:36,740 --> 00:22:45,280
+يعني تعقيد غير مرغوب، زي الـ factorial الـ
+
+251
+00:22:45,280 --> 00:22:52,280
+problem، الثالثة والأخيرة اللي هي الـ assignment
+
+252
+00:22:52,280 --> 00:22:56,620
+problem مرة
+
+253
+00:22:56,620 --> 00:22:59,000
+أخرى، هذه الـ knapsack is a combinatorial problem
+
+254
+00:22:59,000 --> 00:23:03,440
+واضح ليش؟ لأن كل الهدف إنها تعطيني combination، الـ
+
+255
+00:23:03,440 --> 00:23:07,140
+problem، هي الـ assignment problem، أنه بيكون في عندي
+
+256
+00:23:07,140 --> 00:23:14,340
+هذا الجدول، هذا الجدول هو المعطيات تبعتي، جدول هذا هو
+
+257
+00:23:14,340 --> 00:23:18,440
+المعطيات تبعتي عبارة عن معلومة بتقول لي أن في عندي
+
+258
+00:23:18,440 --> 00:23:23,460
+كذا عدد من الأشخاص، أربعة، وكذا عدد من الـ jobs
+
+259
+00:23:23,460 --> 00:23:30,080
+المهام، هذا الشخص لو أنا كلفته بهذه، هيكلفني تسعة، لو
+
+260
+00:23:30,080 --> 00:23:33,140
+أعطيته هذه number two، هيكلفني اثنين، وثلاثة
+
+261
+00:23:33,140 --> 00:23:38,000
+هيكلفني سبعة، هيكلفني أربعة، يعني كل واحد جدوله
+
+262
+00:23:38,000 --> 00:23:41,820
+بيكلفني لو أنا أعطيته أي واحد من الـ .. الأمور
+
+263
+00:23:41,820 --> 00:23:48,270
+المطلوب إيش؟ find an assignment، assignment يعني
+
+264
+00:23:48,270 --> 00:23:52,310
+توزيع المهام على الأشخاص with the minimum total
+
+265
+00:23:52,310 --> 00:23:57,730
+minimum total cost، okay، فلما أنا أجي أقول هذه
+
+266
+00:23:57,730 --> 00:24:02,310
+combination، هذه تعني أن أنا الشخص الأولاني P1
+
+267
+00:24:02,310 --> 00:24:07,210
+أعطيته الـ job number one، P2 أعطيته الـ job number two
+
+268
+00:24:07,210 --> 00:24:13,140
+يعني ترتيبهم هذا مهم، الموضوع الأول لـ person واحد
+
+269
+00:24:13,140 --> 00:24:15,680
+الموضوع الثاني لـ person الثاني، الموضوع الثالث لـ
+
+270
+00:24:15,680 --> 00:24:20,420
+person الثاني، ماشي، هنا الرقم نفسه هو رقم الـ job
+
+271
+00:24:20,420 --> 00:24:26,400
+يعني لو أنا قلت هيك أو هيك مثلاً، الشخص الأول كلفته
+
+272
+00:24:26,400 --> 00:24:29,280
+بالمهمة رقم واحد، الشخص الثاني كلفته بالمهمة رقم
+
+273
+00:24:29,280 --> 00:24:32,980
+أربعة، الثالث المهمة رقم اثنين، والرابع المهمة رقم
+
+274
+00:24:32,980 --> 00:24:38,460
+ثلاثة، الآن نفس الجهة، الـ brute force approach لتعامل
+
+275
+00:24:38,460 --> 00:24:43,520
+مع المسألة هو أنه يعمل generation لكافة الـ
+
+276
+00:24:43,520 --> 00:24:47,780
+possible combinations أو الـ possible assignments
+
+277
+00:24:47,780 --> 00:24:50,560
+اسمها هنا assignments، يعني توزيع مهام
+
+278
+00:24:54,670 --> 00:24:59,450
+يحسب الـ total cost تبع كل واحدة من الـ assignments
+
+279
+00:24:59,450 --> 00:25:06,370
+هذه تبع كل واحدة من التوزيعات هذه، وياخد الـ maximum
+
+280
+00:25:06,370 --> 00:25:11,730
+أو الـ minimum، الـ minimum، هدول هنا لسه مجموعة
+
+281
+00:25:11,730 --> 00:25:16,830
+فرعية من الـ combinations، لسه هدول اللي ثابت فيهم
+
+282
+00:25:16,830 --> 00:25:21,870
+one ومتغيرين الـ jobs الأخرى أو الـ persons الآخرين
+
+283
+00:25:22,380 --> 00:25:27,560
+هذه كممكن تخيلي، سبت اثنين هنا وغيرت في الباقين، هذه
+
+284
+00:25:27,560 --> 00:25:33,920
+الـ matrix أو الـ array هي نفسها، يعني الـ input تبع
+
+285
+00:25:33,920 --> 00:25:38,560
+الـ problem هيكون عبارة عن array زي هيك، وملاحظة
+
+286
+00:25:38,560 --> 00:25:42,460
+أخرى أن أنا عندي عدد الـ jobs أو عدد الـ persons
+
+287
+00:25:42,460 --> 00:25:49,280
+متساويين، يعني عندي المصفوفة هذه n by n، أربعة أشخاص
+
+288
+00:25:49,280 --> 00:25:51,740
+وأربعة مهام، طبعاً المهم يجب أن يكون هناك
+
+289
+00:25:51,740 --> 00:25:55,200
+configurations أخرى من هذا الـ problem يكون فيها
+
+290
+00:25:55,200 --> 00:25:59,800
+العدد مختلف، عدد الأشخاص غير عدد الـ .. بس احنا
+
+291
+00:25:59,800 --> 00:26:03,120
+دلوقت بتبسيط، نطلع على الحالة هذه أنه يكون العدد
+
+292
+00:26:03,120 --> 00:26:13,340
+متساوي، okay، فهنا برضه نفس اللي هو، عدد الـ
+
+293
+00:26:13,340 --> 00:26:18,220
+combinations، يعني لما تكون فيه عدد N من الواجبات
+
+294
+00:26:19,040 --> 00:26:25,260
+اللي هو نفسه أيضاً N من الـ persons، كم number of
+
+295
+00:26:25,260 --> 00:26:33,500
+combinations اللي
+
+296
+00:26:33,500 --> 00:26:37,840
+ممكن أولدها، مش subsets، combinations اللي ممكن
+
+297
+00:26:37,840 --> 00:26:42,600
+أولدها من هذا العدد
+
+298
+00:26:42,600 --> 00:26:44,780
+من العناصر، اللي هو N factorial
+
+299
+00:26:50,750 --> 00:26:55,550
+Okay، هناك two to the n، كنا بنحكي عن subsets، هبطلع
+
+300
+00:26:55,550 --> 00:26:59,650
+على الـ job وأشوف مين أقل واحد في الأشخاص ممكن
+
+301
+00:26:59,650 --> 00:27:03,290
+يعملها وأختارها، أي مش اثنين وأقل واحد، مش اثنين وأقل
+
+302
+00:27:03,290 --> 00:27:06,870
+واحد، طيب، آه بس أنت هيك حصرت الأمر على أنه
+
+303
+00:27:06,870 --> 00:27:11,530
+okay، لو أنا أخدت هذا أقل واحد وبعدين في job اثنين
+
+304
+00:27:11,530 --> 00:27:17,310
+أخدت هذا، okay، وأنا أخدت هذا وبعدين هنا أخدت هذا
+
+305
+00:27:17,310 --> 00:27:25,000
+okay، طلعت ثانية ما عندهم، آه بالظبط، صار في عندك إيش؟
+
+306
+00:27:25,000 --> 00:27:27,920
+صار في عندك الـ duplication هذا، صار person ثلاثة
+
+307
+00:27:27,920 --> 00:27:31,880
+هو الأفضل لـ job واحد والأفضل لـ job ثلاثة، وهذا
+
+308
+00:27:31,880 --> 00:27:35,800
+بظبط إيش؟ لأن صار عندي هذا ما عنده مهمة، فاضي، و
+
+309
+00:27:35,800 --> 00:27:40,750
+.. وهذا عنده duplication، فالآن تمام، أنت الآن بتفكر
+
+310
+00:27:40,750 --> 00:27:44,230
+في solutions ما فيهاش brute force، يعني في solutions
+
+311
+00:27:44,230 --> 00:27:48,070
+اللي ممكن تبقى شوية more intelligent، شوية أكثر
+
+312
+00:27:48,070 --> 00:27:52,850
+إبداعاً أو حكمة من اللي هو البحث الأعمى هذا brute
+
+313
+00:27:52,850 --> 00:28:00,420
+force، يعني إحنا بنبحث بشكل أعمى في كل الاحتمالات، في
+
+314
+00:28:00,420 --> 00:28:06,460
+حاجة يعني في approaches أخرى أكثر أفضل منها، بس هو
+
+315
+00:28:06,460 --> 00:28:09,840
+اللي بنقوله أن الـ combinatorial problems بصفة عامة
+
+316
+00:28:09,840 --> 00:28:17,200
+يعني جيد لما نلاقي solutions اللي فيها نوع من
+
+317
+00:28:17,200 --> 00:28:21,820
+الاسترشاد، يعني اللي بتقدر تخفف أو تقلل الـ
+
+318
+00:28:21,820 --> 00:28:26,030
+execution time، يبقى فيها efficiency، لأنه أي
+
+319
+00:28:26,030 --> 00:28:28,750
+solution هتلاقيه من زمان، يعني أنا أقبل أول ما
+
+320
+00:28:28,750 --> 00:28:34,110
+فكرنا، لاجئنا أنه فيه عيب أو فيه خلل وتكرار، تيجي
+
+321
+00:28:34,110 --> 00:28:37,650
+الصلح هذا التكرار، هيطلع عندك إيش، وبعد شوية
+
+322
+00:28:37,650 --> 00:28:41,710
+هتلاقي الألغام بتتعالج وبيصل الـ .. الـ execution
+
+323
+00:28:41,710 --> 00:28:45,390
+time تبعها بيبدأ يقترب ثانية من الـ .. في اللي بقوله
+
+324
+00:28:45,390 --> 00:28:48,310
+أنه مش لأ، يعني في بعض الـ .. الـ combinatorial
+
+325
+00:28:48,310 --> 00:28:51,550
+problems بيبقى الـ solution تبعها .. يعني ممكن
+
+326
+00:28:51,550 --> 00:28:54,190
+تلاقي الـ solution أحسن من الـ أشـ .. من الـ brute
+
+327
+00:28:54,190 --> 00:29:01,950
+force approach، تمام، فخلاص احنا هذا الخلاصة أن
+
+328
+00:29:01,950 --> 00:29:10,460
+الثلاثة problems اللي شفناهم واللي هو .. هنا ناقص
+
+329
+00:29:10,460 --> 00:29:16,920
+واحد factorial، تمام، إحنا هنا الـ n هذه بدنا إيه
+
+330
+00:29:16,920 --> 00:29:20,740
+بيبقى واضح، إحنا بنحكي عن n اللي هو عدد الـ
+
+331
+00:29:20,740 --> 00:29:25,060
+cities ولا n عدد الـ cities اللي في الـ trip، تذكر
+
+332
+00:29:25,060 --> 00:29:29,820
+الـ trip فيها إيش؟ فيها n زائد واحد، اللي هي لأن
+
+333
+00:29:29,820 --> 00:29:37,160
+المدينة الأولى مكررة، صح؟ فإنه بنحكي عن عدد الـ cities
+
+334
+00:29:37,160 --> 00:29:43,980
+اللي في الـ trip، فبنخصم واحد، صح؟ يعني أنا لما أكون
+
+335
+00:29:43,980 --> 00:29:49,420
+عندي أربع مدن، الـ trip هتشتمل على خمسة، الأولى والأخيرة
+
+336
+00:29:49,420 --> 00:29:53,960
+هم نفسهم، صح؟ فإذا أنا بطلع على N بمعنى أن
+
+337
+00:29:53,960 --> 00:29:58,080
+هي عدد الـ elements اللي في هذا، يبدو أني أطلع
+
+338
+00:29:58,080 --> 00:30:08,750
+على واحد، ناقص واحد، هو عبارة عن عدد
+
+339
+00:30:08,750 --> 00:30:13,850
+المدن اللي في الـ trip، وهذا أكثر من عدد المدن اللي
+
+340
+00:30:13,850 --> 00:30:19,430
+في الـ problem بواحد، و
+
+341
+00:30:19,430 --> 00:30:25,530
+لاحظ أنه يعني مش كتير فرق كبير، مش هيعمل فرق كبير، بس
+
+342
+00:30:25,530 --> 00:30:30,950
+Big theta ولا Big o، بغض النظر عن المدن هذه كيف
+
+343
+00:30:30,950 --> 00:30:35,010
+جاية والمسافات اللي ما بينها كيف جاية، في الآخر الـ
+
+344
+00:30:35,010 --> 00:30:38,710
+approach هو brute force، يعني اللي لازم يلف عليهم
+
+345
+00:30:38,710 --> 00:30:44,370
+كلهم من أول .. كل الـ combinations  تمامهم، عشان
+
+346
+00:30:44,370 --> 00:30:48,710
+يطلع الـ solution، مافيش worst case و best case، وهنا
+
+347
+00:30:48,710 --> 00:30:52,550
+نفس الشيء أن هي subset، مافيش worst case و best case،
+
+348
+00:30:52,550 --> 00:30:56,270
+لازم يعمل generate لكل الـ combinations، وهنا الـ
+
+349
+00:30:56,270 --> 00:31:01,470
+assignment زي ما قلنا n factorial، okay، هيك احنا
+
+350
+00:31:01,470 --> 00:31:05,810
+عملياً بنكون أخذنا الشق الأول من الـ exhaustive
+
+351
+00:31:05,810 --> 00:31:09,190
+search، مرة أخرى الـ exhaustive search زي ما قلت في
+
+352
+00:31:09,190 --> 00:31:15,110
+البداية هو عبارة عن الـ brute force، هو عملية، هو
+
+353
+00:31:15,110 --> 00:31:19,260
+brute force approach للـ combinatorial problems، الـ
+
+354
+00:31:19,260 --> 00:31:23,500
+search جاي من وين؟ جاي من وأنا أبحث في كل الـ
+
+355
+00:31:23,500 --> 00:31:27,540
+possible combinations، أول شيء بعمل الـ combinations
+
+356
+00:31:27,540 --> 00:31:33,140
+ببحث فيها عن مين؟ إما الأفضل أو الأقل cost أو
+
+357
+00:31:33,140 --> 00:31:37,780
+الأعلى قيمة، واضح؟ ببحث فيها عن الـ minimum أو الـ
+
+358
+00:31:37,780 --> 00:31:43,560
+maximum، فهو search exhaustive بمعنى مضمون، بمعنى أنه
+
+359
+00:31:43,560 --> 00:31:49,920
+لازم يفرض شامل، الكل شامل، كل الاحتمالات، بعمل أنا كل
+
+360
+00:31:49,920 --> 00:31:54,240
+الاحتمالات، كل الـ combinations، وببحث فيها عن اللي
+
+361
+00:31:54,240 --> 00:31:57,900
+هو الـ minimum والـ maximum، فكلمة exhaustive search
+
+362
+00:31:57,900 --> 00:32:02,680
+لازم تثبت مع الـ combinatorial problems، شيء متعلق
+
+363
+00:32:02,680 --> 00:32:08,200
+بالـ combinatorial problems ومع الـ brute force، لأن
+
+364
+00:32:08,200 --> 00:32:11,100
+exhaustive search هو عبارة عن الـ brute force
+
+365
+00:32:11,100 --> 00:32:15,260
+approach للـ combinatorial problems، إحنا دلوقت شفنا
+
+366
+00:32:15,260 --> 00:32:20,460
+ثلاثة أمثلة، فيها بعدها كانت طالعة على اللي هو الـ
+
+367
+00:32:20,460 --> 00:32:25,040
+state space search، وبنشوف الـ depth first والـ
+
+368
+00:32:25,040 --> 00:32:30,460
+breadth first، هم عبارة عن أمثلة أخرى للـ exhaustive
+
+369
+00:32:30,460 --> 00:32:34,060
+search، تمام
+
+370
+00:32:36,010 --> 00:32:39,170
+وبعد كده في الآخر نطلع على اللي هو الـ brute force
+
+371
+00:32:39,170 --> 00:32:42,470
+مميزاته ومساوئه، الـ advantages والـ disadvantages في
+
+372
+00:32:42,470 --> 00:32:47,830
+الآخر إن شاء الله، okay، يعطيكم العافية
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ywoMrTSlaWU_raw.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ywoMrTSlaWU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0847def42955f1760c43e91b4ace32859a1a356b
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/ywoMrTSlaWU_raw.srt
@@ -0,0 +1,1676 @@
+1
+00:00:20,860 --> 00:00:22,920
+ماشي باسم الله الرحمن الرحيم الصلاة والسلام علي
+
+2
+00:00:22,920 --> 00:00:25,860
+أشرف المرسلين اليوم ان شاء الله يا بنات بنبدأ ..
+
+3
+00:00:25,860 --> 00:00:30,120
+بنكمل ال .. بنكمل محاضراتنا و بنبدأ في ال chapter
+
+4
+00:00:30,120 --> 00:00:34,800
+رقم اتنين اللي هو fundamentals of the analysis of
+
+5
+00:00:34,800 --> 00:00:37,760
+algorithm efficiency تركيز هنا على تحليل
+
+6
+00:00:37,760 --> 00:00:43,200
+الألغرثميات من أجل الخارزميات يعني من أجل دراسة ال
+
+7
+00:00:43,200 --> 00:00:45,740
+efficiency أو تقييم ال efficiency تبع ال
+
+8
+00:00:45,740 --> 00:00:53,190
+algorithmsفال chapter ده هنبدأ في section 2.1 و2.2
+
+9
+00:00:53,190 --> 00:00:58,130
+لغاية 2.5 ان شاء الله في أن ال slides هذه slide
+
+10
+00:00:58,130 --> 00:01:02,350
+set بيغطي 2.1 اللي هو ال analysis framework
+
+11
+00:01:02,350 --> 00:01:06,530
+framework بمعنى الإطار العام لعملية التحليل في أن
+
+12
+00:01:06,530 --> 00:01:10,450
+عدة نقاط اللي هي ال issues القضايا أو الأمور اللي
+
+13
+00:01:10,450 --> 00:01:13,410
+احنا بنطلع عليها و بنركز عليها في عملية التحليل
+
+14
+00:01:13,410 --> 00:01:18,370
+analysisو بعدها كده بنحكي عن في النقطة التانية على
+
+15
+00:01:18,370 --> 00:01:23,750
+ال input size و على شو أدوات القياس ال .. لل
+
+16
+00:01:23,750 --> 00:01:27,530
+running time أدوات القياس الأساسية لتقدير الزمن
+
+17
+00:01:27,530 --> 00:01:33,590
+تبع اللي بتستخدم ال algorithm في حل المسألةو بعدها
+
+18
+00:01:33,590 --> 00:01:39,130
+كان مفهوم ال order of growth و مفهوم ال worst case
+
+19
+00:01:39,130 --> 00:01:41,890
+و ال best case و ال average case هذا كل الكلام لسه
+
+20
+00:01:41,890 --> 00:01:46,670
+قبل ما نبدأ نحكي في ال big O notation و ال big
+
+21
+00:01:46,670 --> 00:01:51,090
+omega و ال big theta اللي هو موضوع section 2.2 هذا
+
+22
+00:01:51,090 --> 00:01:56,470
+الكلامفمبدأيا ال issues النقطة الأولى ال issues ان
+
+23
+00:01:56,470 --> 00:01:59,630
+احنا لما بنعمل analysis ل algorithm بنبقى بالاصلا
+
+24
+00:01:59,630 --> 00:02:03,870
+اسمعنيين بال efficiency هدا هي ال issue الرئيسي ال
+
+25
+00:02:03,870 --> 00:02:09,010
+efficiency تبع تلاش ال algorithm ال efficiency من
+
+26
+00:02:09,010 --> 00:02:13,550
+ناحية ال time و من ناحية ال space ال course هذا
+
+27
+00:02:13,550 --> 00:02:16,610
+بيركز على ال time efficiencyالـ Time Efficiency
+
+28
+00:02:16,610 --> 00:02:21,710
+وقضية الـ Space Efficiency نفس الأليات اللي
+
+29
+00:02:21,710 --> 00:02:25,370
+هنستخدمها في تقييم الـ Time أو حساب الـ Time أو
+
+30
+00:02:25,370 --> 00:02:28,770
+تقدير الـ Timeأو الحكم على ال algorithm من ناحية
+
+31
+00:02:28,770 --> 00:02:33,170
+ال time هي نفس الأدوات اللى بيستخدم لتقييم ال
+
+32
+00:02:33,170 --> 00:02:36,530
+algorithm من ناحية ال space ماشي يعني إذا بدنا
+
+33
+00:02:36,530 --> 00:02:41,450
+نحسب ال ال efficiency تبع ال algorithm مجدش بتاخد
+
+34
+00:02:41,450 --> 00:02:44,750
+وجهة برضه هو نفس الأدوات اللى بيستخدم مجدش عشان
+
+35
+00:02:44,750 --> 00:02:48,460
+نعرف ال algorithm مجدش بتاخد spaceالان ال
+
+36
+00:02:48,460 --> 00:02:52,160
+efficiency مش هي القضية الوحيدة اللي .. لكن هي
+
+37
+00:02:52,160 --> 00:02:55,780
+اللي هنركز عليها فيها قضية ال correctness تتذكروا
+
+38
+00:02:55,780 --> 00:02:59,960
+احنا لما كنا المحاضرة الماضية حكينا عن اللي هو ال
+
+39
+00:02:59,960 --> 00:03:03,720
+algorithmic problem solving وكنا ال fundamentals
+
+40
+00:03:03,720 --> 00:03:07,740
+يعني ان احنا بنبدأ أولا من فهم ال problem انتهاء
+
+41
+00:03:07,740 --> 00:03:13,560
+إلى عملية ال coding بس بين النقطتين هدولة في أدت
+
+42
+00:03:13,560 --> 00:03:17,880
+خطوات كان واحدة منهم approving .. approving الالـ
+
+43
+00:03:17,880 --> 00:03:20,200
+Correctness أو الـ ال .. ال .. ال .. ال .. ال ..
+
+44
+00:03:20,200 --> 00:03:21,500
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+45
+00:03:21,500 --> 00:03:22,060
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+46
+00:03:22,060 --> 00:03:22,060
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+47
+00:03:22,060 --> 00:03:22,140
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+48
+00:03:22,140 --> 00:03:23,180
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+49
+00:03:23,180 --> 00:03:23,340
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+50
+00:03:23,340 --> 00:03:24,000
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+51
+00:03:24,000 --> 00:03:24,160
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+52
+00:03:24,160 --> 00:03:25,260
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+53
+00:03:25,260 --> 00:03:32,820
+.. ال .. ال .. ال .. ال .. ال ..
+
+54
+00:03:32,820 --> 00:03:33,940
+ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال
+
+55
+00:03:33,940 --> 00:03:33,940
+.. ال .. ال .. ال .. ال .. ال .. ال .. ال .. ال ..
+
+56
+00:03:33,940 --> 00:03:42,840
+ال .. ال .. ال .. ال .. ال
+
+57
+00:03:45,580 --> 00:03:48,680
+يعني إيش optimal و مش optimal دايما ال optimality
+
+58
+00:03:48,680 --> 00:03:52,300
+بنفكر فيها في ال problems اللي زي قضية ال
+
+59
+00:03:52,300 --> 00:03:54,960
+traveling salesman problem اللي إلها علاقة بإنه
+
+60
+00:03:54,960 --> 00:04:00,020
+احنا نجد اللي هو ال best path أو ال shortest path
+
+61
+00:04:00,020 --> 00:04:04,500
+فإذا والله ال algorithm بتعطيني solution بنتأكد
+
+62
+00:04:04,500 --> 00:04:07,380
+إنه فعلا هذا ال path اللي بتعطينيه هو فعلا
+
+63
+00:04:07,380 --> 00:04:13,960
+shortest إنه مافي مسار آخر shorterthan اللي هو
+
+64
+00:04:13,960 --> 00:04:17,960
+اتطنية فهنا ال optimality فبدنا ندرس ال algorithms
+
+65
+00:04:17,960 --> 00:04:21,780
+لتقييم أدائها من ناحية برضه ال optimality في
+
+66
+00:04:21,780 --> 00:04:24,120
+نقطتين أخرية غير ال correctness و غير ال
+
+67
+00:04:24,120 --> 00:04:27,720
+efficiency و غير ال optimality اللي هو simplicity
+
+68
+00:04:27,720 --> 00:04:31,580
+مثلا ندرس
+
+69
+00:04:31,580 --> 00:04:36,620
+ال algorithm عشان نشوف هل هي simple ولا لا و في
+
+70
+00:04:36,620 --> 00:04:41,250
+نقطة تانية اللي هو generalitySimplicity يعني
+
+71
+00:04:41,250 --> 00:04:47,050
+البساطة بالنسبة للكمبيوتربنعمل implementation لل
+
+72
+00:04:47,050 --> 00:04:50,890
+algorithm مابتفرجش معاه ال computer هل هي بسيطة
+
+73
+00:04:50,890 --> 00:04:54,390
+ولا مش بسيطة القضية البساطة هذي اشي نهتم احنا فيه
+
+74
+00:04:54,390 --> 00:04:58,790
+كبناء أدمين علشان احنا بدنا احنا بدنا ال algorithm
+
+75
+00:04:58,790 --> 00:05:02,430
+تبقى بسيطة عشان سهولة الفهم وسهولة الفهم هذي
+
+76
+00:05:02,430 --> 00:05:06,830
+بتساعدنا اصلا في قضية التحليل عشان انا احكم عليها
+
+77
+00:05:06,830 --> 00:05:10,470
+لازم افهمها فزي معجدة هتاخدني واجة كبيرة عشان انا
+
+78
+00:05:10,470 --> 00:05:14,650
+افهمها على اساس بعد هيك اقدرأحكم عليها فهي كل ما
+
+79
+00:05:14,650 --> 00:05:17,670
+كانت simple كل ما كانت أفضل بس بتظل قضية ال
+
+80
+00:05:17,670 --> 00:05:20,350
+simplicity هذه ربما تكون subjective يعني مش
+
+81
+00:05:20,350 --> 00:05:23,790
+subjective يعني بتعتمد على الشخص أنا ممكن أشوف ال
+
+82
+00:05:23,790 --> 00:05:28,910
+algorithm simple و أنت تشوفيها لأ شويه complex فمش
+
+83
+00:05:28,910 --> 00:05:33,790
+يعني مش مش objective بتكون المثلة نفسها مثل ال
+
+84
+00:05:33,790 --> 00:05:37,190
+simplicity النقطة التانية اللي هي ال generality ال
+
+85
+00:05:37,190 --> 00:05:40,730
+generality بنبصلها أو بنطلع عليها من ناحيتين ناحية
+
+86
+00:05:40,730 --> 00:05:45,570
+ال problemو من ناحية اللي هو ال input كيف يعني؟
+
+87
+00:05:45,570 --> 00:05:48,650
+إيش يعني ال generality؟ لما أنا أجي أقول والله أنا
+
+88
+00:05:48,650 --> 00:05:56,530
+بدي algorithm لو أعطيتها أنا اسم شخص رباعي تروح
+
+89
+00:05:56,530 --> 00:06:00,510
+تفككليه إلى اسم الأول لحال، اسم الوالد لحال، اسم
+
+90
+00:06:00,510 --> 00:06:04,770
+الجد لحال، اسم العائلة لحال، أنا بعطيها هي ك text
+
+91
+00:06:04,770 --> 00:06:09,320
+طبعا، ك input stringوبدي الألغاب تكتشف وين ال
+
+92
+00:06:09,320 --> 00:06:13,700
+spaces و تقول لي هاي هذا اسم الشخص وهذا اسم الوالد
+
+93
+00:06:13,700 --> 00:06:16,880
+وهذا الجد وهذا العائلةلو أنا أعطيتك إياها هذه
+
+94
+00:06:16,880 --> 00:06:19,140
+كبسألة، أنت ممكن تيجي تقولي لأ أنا ليش أعملك إياها
+
+95
+00:06:19,140 --> 00:06:21,860
+بس للأسماء، أنا ممكن أعملك إياها لأي نوع من
+
+96
+00:06:21,860 --> 00:06:24,620
+الكلام، يعني أنت تعطيني جملة، تعطيني paragraph
+
+97
+00:06:24,620 --> 00:06:27,720
+كامل وأنا أفكرك لكي، هي كأن أنت عملتي
+
+98
+00:06:27,720 --> 00:06:30,920
+generalization لل problem، بحيث أنه كانت بدل ما هي
+
+99
+00:06:30,920 --> 00:06:37,100
+قاصرة على الاش .. على الأسماء، أنت عملتيها تشتغل
+
+100
+00:06:37,100 --> 00:06:43,540
+أكتر من هيك، تشتغلفي تحليلنا للـ Algorithm ممكن
+
+101
+00:06:43,540 --> 00:06:48,980
+نقيمها هل هي بتنفع بس لحالة معينة و لا ممكن تعمم
+
+102
+00:06:48,980 --> 00:06:53,530
+عليهاأكتر من ذلك هل مثلا إذا هي بتعمل sorting هل
+
+103
+00:06:53,530 --> 00:06:57,090
+بتعمل sorting بس لل integers و لا بتعمل sorting ل
+
+104
+00:06:57,090 --> 00:07:02,070
+more than that يعني بتعمل هل بتحل المثال اللي أنا
+
+105
+00:07:02,070 --> 00:07:06,450
+بديها و مسائل أخرى أيضا يعني تصلح ل مسائل أخرى
+
+106
+00:07:06,450 --> 00:07:09,630
+شبيهة و لا بس للمثال اللي أنا حصلتها فال
+
+107
+00:07:09,630 --> 00:07:12,990
+generality هنا عايش عكسها عكسها يعني أنها تبقى
+
+108
+00:07:12,990 --> 00:07:16,690
+general أو specific عكس general specific
+
+109
+00:07:19,290 --> 00:07:22,010
+تمام فاحيانا احنا بنجمع نيين نشوف ندرس ال
+
+110
+00:07:22,010 --> 00:07:25,670
+algorithm عشان نشوف هل هي specific بس للحالة اللي
+
+111
+00:07:25,670 --> 00:07:30,770
+هي مصممة لها ولا تصلح أيضا ل other cases other
+
+112
+00:07:30,770 --> 00:07:34,550
+cases قضية ال .. هذا من ناحية ال problem من ناحية
+
+113
+00:07:34,550 --> 00:07:40,190
+ال input انه احنا يعني لو جولت انا مثلا بدي
+
+114
+00:07:40,190 --> 00:07:44,010
+algorithm اللي اتطلع ليه ال common greatest
+
+115
+00:07:44,010 --> 00:07:49,590
+divisorلـ Integer Numbers وانت جيجي قولت أنا لأ
+
+116
+00:07:49,590 --> 00:07:52,410
+بعملكيها برضه للـ Real و لل Complex ومش عارف شو
+
+117
+00:07:52,410 --> 00:07:58,230
+فانت وسعتي نطاق ال إيش نطاق ال input فممكن ال
+
+118
+00:07:58,230 --> 00:08:01,530
+generality ننظرلها من ناحية كون ال problem هذي
+
+119
+00:08:01,530 --> 00:08:05,410
+specific بس للحالة هذه و لا لحالات أخرى شبيهة أو
+
+120
+00:08:05,410 --> 00:08:08,690
+أيضا بس لل input هذا النوع من ال input اللي احنا
+
+121
+00:08:08,690 --> 00:08:12,830
+نعطيها و لا لأيضا أنواع متعددة من ال inputواضح
+
+122
+00:08:12,830 --> 00:08:16,430
+احنا تركيزنا في المساكة ده هيبقى بس على ال
+
+123
+00:08:16,430 --> 00:08:21,350
+efficiency وبالتحديد على ال time ليش مش على ال
+
+124
+00:08:21,350 --> 00:08:23,770
+space؟ لأن نفس السبب اللي بتذكرته انا اللي هو ان
+
+125
+00:08:23,770 --> 00:08:26,770
+ال space ما ينطبق على ال time ينطبق على ال space
+
+126
+00:08:26,770 --> 00:08:30,770
+ممكن نستخدم نفس الأدوات فمافيش داعي نتقلم الأدوات
+
+127
+00:08:30,770 --> 00:08:34,670
+مرتين مرة
+
+128
+00:08:34,670 --> 00:08:37,210
+نطبقها على ال time و مرة نطبقها على ال space
+
+129
+00:08:37,210 --> 00:08:41,470
+نتقلمها مرة واحدةماشي الآن النقطة التانية في ال
+
+130
+00:08:41,470 --> 00:08:43,870
+issues and approaches ال approaches ال approaches
+
+131
+00:08:43,870 --> 00:08:46,830
+يقصد بيها إنه إحنا بنعمل analysis هل هو
+
+132
+00:08:46,830 --> 00:08:49,470
+theoretical ولا empirical؟ وهذا الكلمة اللي ذكرتها
+
+133
+00:08:49,470 --> 00:08:52,170
+قبل هيك هي theoretical ال empirical هو يقصد بيه
+
+134
+00:08:52,170 --> 00:08:55,950
+اللي هو إيش ال experimental مش ذكرت أنا كلمة
+
+135
+00:08:55,950 --> 00:09:00,870
+experimental قبل هيك؟ experimental analysis؟ حد
+
+136
+00:09:00,870 --> 00:09:04,790
+أنا بتذكر إيش كان جصد فيها experimental analysis؟
+
+137
+00:09:04,790 --> 00:09:07,850
+إنه أنا ببساطة أجيب ال algorithmة مطبقها أنفذها
+
+138
+00:09:07,850 --> 00:09:14,290
+عملها codingو اجرب اجرب different sizes of input و
+
+139
+00:09:14,290 --> 00:09:17,090
+اشوف الله لما كان ال input size كذا قداش كان اللي
+
+140
+00:09:17,090 --> 00:09:20,530
+هي الزمن اللي استغلقته ال algorithm اجيب لها مثلا
+
+141
+00:09:20,530 --> 00:09:23,410
+ال algorithm ال sorting اجيب لها array of integers
+
+142
+00:09:23,410 --> 00:09:27,890
+طولهم عشرةو بعدين مية و بعدين مية ألف و بعدين كده
+
+143
+00:09:27,890 --> 00:09:31,010
+و أشوف كيف الزمن بيزيد هذا experimental ولا لأ
+
+144
+00:09:31,010 --> 00:09:33,850
+experimental analysis ال theoretical analysis أنه
+
+145
+00:09:33,850 --> 00:09:37,590
+أنا بالورقة و الجلم أقدر على أساس ال big O و ال
+
+146
+00:09:37,590 --> 00:09:41,810
+big Omega و ال big Theta اللي هدا على أساس كمان
+
+147
+00:09:41,810 --> 00:09:45,370
+شوية هنحكيه اللي هو ال basic operations أطلع على
+
+148
+00:09:45,370 --> 00:09:48,490
+ال algorithm أشوف أيش ال basic operations و أقدر
+
+149
+00:09:48,490 --> 00:09:51,870
+كم مرة بتتكرر هذه ال basic operations تقدير كله
+
+150
+00:09:51,870 --> 00:09:55,070
+بالورقة و الجلمواضح أيش الفرق ما بين ال two
+
+151
+00:09:55,070 --> 00:09:58,190
+approaches عمل analysis لل algorithm اما
+
+152
+00:09:58,190 --> 00:10:02,970
+theoretically بالورق أو الجلم او empirically بال
+
+153
+00:10:02,970 --> 00:10:08,010
+coding بالتجربة و حساب الزمن هذه النقطة الأولى
+
+154
+00:10:08,010 --> 00:10:10,830
+اللي هو issues and approaches النقطة التانية اللي
+
+155
+00:10:10,830 --> 00:10:14,770
+هي ان ال input size و ال running time النقطة
+
+156
+00:10:14,770 --> 00:10:18,390
+التالتة ال input size ال input size اللي احنا
+
+157
+00:10:18,390 --> 00:10:21,030
+عندنا فيه مفهوم ال basic operation
+
+158
+00:10:24,040 --> 00:10:30,880
+ال basic operation في أي algorithm بيكون في عندي
+
+159
+00:10:30,880 --> 00:10:34,700
+صنفين من الخطوات مش ال algorithm هي مجموعة خطوات
+
+160
+00:10:34,700 --> 00:10:40,700
+في عادة خطوات بتنعمل في البداية و في النهاية هذي
+
+161
+00:10:40,700 --> 00:10:43,680
+بتنعمل مرة واحدة يعني اللي بقول مثلا احنا بدنا
+
+162
+00:10:43,680 --> 00:10:48,360
+نعطيه algorithm بدنا نعطيها مجموعة أرقام ترتبهم
+
+163
+00:10:48,360 --> 00:10:54,330
+عملية تغذية ال algorithmبالأرقام سواء كان بال
+
+164
+00:10:54,330 --> 00:10:58,730
+keyboard أو تجراهم هي من ملف هذه operations بدا
+
+165
+00:10:58,730 --> 00:11:04,980
+تسويهم ال algorithm ماشيو كذلك الحالة في الآخر لما
+
+166
+00:11:04,980 --> 00:11:08,360
+نبدها تيجي تطبع الناتج هذه برضه operations بس مش
+
+167
+00:11:08,360 --> 00:11:10,700
+هدول ال operations اللي احنا بنكون معنين فيهم لما
+
+168
+00:11:10,700 --> 00:11:14,320
+نيجي نعمل دراسة لـ Algorithm احنا معنين لأن الزمن
+
+169
+00:11:14,320 --> 00:11:17,680
+اللي بدها تستغرق و بكون رايح في عملية ال sorting
+
+170
+00:11:17,680 --> 00:11:20,900
+نفسها عملية ال sorting اللي هي انا بتخيل يعني
+
+171
+00:11:20,900 --> 00:11:23,400
+عملية ال sorting اللي يكون فيه loop و ال loop هذه
+
+172
+00:11:23,400 --> 00:11:27,280
+جواتها ايش مقارنات و ما إلى ذلك فهذه المقارنات هي
+
+173
+00:11:27,280 --> 00:11:29,060
+اللي بيجون عنها ال basic operations اللي هي
+
+174
+00:11:29,060 --> 00:11:36,540
+العمليات اللي بتتكرراللي بتتكرر بشكل مستمر فى داخل
+
+175
+00:11:36,540 --> 00:11:41,240
+ال algorithm okay الان ال ال basic approach اللى
+
+176
+00:11:41,240 --> 00:11:45,200
+هحكي عنها كمان شوية بس ال input size ال input size
+
+177
+00:11:45,200 --> 00:11:51,230
+بتأثر ال input sizeممكن يختلف ال input size لنفس
+
+178
+00:11:51,230 --> 00:11:54,790
+ال algorithm و لنفس ال problem بناء على قد التبرات
+
+179
+00:11:54,790 --> 00:11:59,350
+يعني مثلا انا algorithm بديها تعمل traversal ل
+
+180
+00:11:59,350 --> 00:12:02,790
+tree ايش يعني traversal يعني تمر على بس تمر عليهم
+
+181
+00:12:02,790 --> 00:12:06,870
+لا تقارن ولا تحسب ولا تبحث ولا اي حاجة بدي اشوف
+
+182
+00:12:06,870 --> 00:12:10,270
+انا هاي عندي tree قولي binary او غير binary مش مهم
+
+183
+00:12:10,270 --> 00:12:14,860
+المهم ان انا فيه عنديالغريثم واحد والغريثم اتنين
+
+184
+00:12:14,860 --> 00:12:19,500
+والغريثم تلاتة وبدأ اقارن ما بينهم على أساس من
+
+185
+00:12:19,500 --> 00:12:23,560
+أسرع ال efficiency ال time efficiency لكن انا ممكن
+
+186
+00:12:23,560 --> 00:12:27,660
+اعطيلها ال letter E هذه على شكل ايش انا لازم في
+
+187
+00:12:27,660 --> 00:12:33,420
+الأول ابرمج letter E على شكل nodes مظبوط يعني هذا
+
+188
+00:12:33,420 --> 00:12:40,030
+A هذا B C Dالـ Node هي عبارة عن Structure فيها الـ
+
+189
+00:12:40,030 --> 00:12:43,350
+Data وفيها Point رزق على الـ Other Nodes مصبوط
+
+190
+00:12:43,350 --> 00:12:47,570
+فهذه One Representation ان انا اعملها بيش على شكل
+
+191
+00:12:47,570 --> 00:12:51,570
+Nodes Linked Nodes لكن في Representation أخرى ان
+
+192
+00:12:51,570 --> 00:12:57,470
+انا اجي اعمل Array كبيره الـ Tree البيانات هذه
+
+193
+00:12:57,470 --> 00:13:02,310
+عبّر عنها على شكل Tree adjacency Matrix سميها هاي
+
+194
+00:13:02,310 --> 00:13:07,960
+الـ A و هاي الـ B و هاي الـ C و الـ D الـ Nodesوين
+
+195
+00:13:07,960 --> 00:13:11,840
+ما فيه link او edge ايش هذا اللي انا عملته هنا هاي
+
+196
+00:13:11,840 --> 00:13:20,780
+ال B وهذا ال C وهذا ال D وهذا ال E تمام وين ما فيه
+
+197
+00:13:20,780 --> 00:13:25,740
+edge ما بين two nodes احط هنا اشارة يعني مثلا ال A
+
+198
+00:13:25,740 --> 00:13:34,760
+و ال B مش في بينهم اه ال A و ال B صح بين ال A و ال
+
+199
+00:13:34,760 --> 00:13:41,880
+Cالـ A و الـ C صح؟ فوين ما فيه edge ما بين two
+
+200
+00:13:41,880 --> 00:13:44,720
+nodes فانا هنا عايش اعمل .. عامل matrix هنا عايش
+
+201
+00:13:44,720 --> 00:13:48,700
+اعمل .. عامل nodes مربطين مع بعض بال pointers هذا
+
+202
+00:13:48,700 --> 00:13:51,340
+one representation هذه another representation ..
+
+203
+00:13:51,340 --> 00:13:56,500
+representation لل same input same data هذا بتفرج
+
+204
+00:13:56,500 --> 00:13:59,820
+عن هذا في ال performance صح ولا .. ال input size
+
+205
+00:13:59,820 --> 00:14:03,920
+هنا عبارة عن array طولها كذا في كذا أو حجمها كذا
+
+206
+00:14:03,920 --> 00:14:08,000
+في كذاهنا عبارة عن مجموعة من ال notes فقط فهذا
+
+207
+00:14:08,000 --> 00:14:11,860
+اللي بنقوله احنا انه ال data representation ماشي
+
+208
+00:14:11,860 --> 00:14:14,360
+الحال النقطة التانية اللي هي ال operations of the
+
+209
+00:14:14,360 --> 00:14:17,140
+algorithm ممكن انت على نفس ال representation على
+
+210
+00:14:17,140 --> 00:14:22,100
+نفس ال problem تبقى في operations مختلفة بيعملها
+
+211
+00:14:22,100 --> 00:14:25,740
+ال algorithm يعني مثلا هنا لو انا بدي اعمل spell
+
+212
+00:14:25,740 --> 00:14:29,240
+checker عندى كلمة و الكلمة هي ده بدى افحصها فانا
+
+213
+00:14:29,240 --> 00:14:33,010
+عندي قموس بدى افحص عليه اساسهفممكن القاموسة ده
+
+214
+00:14:33,010 --> 00:14:37,650
+يبقى كبير وممكن يبقى صغير فهنا اختلفت حسب حجم
+
+215
+00:14:37,650 --> 00:14:41,930
+القاموسة البرجة اللي انا بدي استند اليه في عملية
+
+216
+00:14:41,930 --> 00:14:44,710
+ال spell check بدي اختلف ال operations اللي بدي
+
+217
+00:14:44,710 --> 00:14:49,640
+اعملها ال algorithm اللي بدي اتعملهاوبالتالي اتغير
+
+218
+00:14:49,640 --> 00:14:53,040
+ال input size النفط التالت اللي هي ال properties
+
+219
+00:14:53,040 --> 00:14:56,840
+of the object لما نكون ال object تبعي بس بس مجرد
+
+220
+00:14:56,840 --> 00:15:01,960
+node يعني انا بدي اقارن ما بين اشخاص على اساس ما
+
+221
+00:15:01,960 --> 00:15:05,720
+بين اشخاص على اساس الاسم فإذا كان انا بس الشخص
+
+222
+00:15:05,720 --> 00:15:09,500
+معبر عنه على شكل string اللي هو الاسم غير عن لما
+
+223
+00:15:09,500 --> 00:15:13,240
+انا اكون الشخص معبر عنه على انه object وال object
+
+224
+00:15:13,240 --> 00:15:16,830
+هذا واحد من ال attributes تبعها الاسموفي
+
+225
+00:15:16,830 --> 00:15:21,050
+attributes أخرى فال algorithm الآن إذا هو مجرد
+
+226
+00:15:21,050 --> 00:15:24,210
+string فبتتعامل معاه مباشرة فإذا هو object معناه
+
+227
+00:15:24,210 --> 00:15:28,190
+بس بدي تمسك ال object بدي تروح خد ال attribute تبع
+
+228
+00:15:28,190 --> 00:15:31,490
+الاسم و تتعامل معاها و تنتقل من object ل object
+
+229
+00:15:31,490 --> 00:15:35,990
+بهذه الكيفية فإذا أنا ماعطيها ال input على إنه بس
+
+230
+00:15:35,990 --> 00:15:41,050
+مجرد strings of names غير اللي ماعطيها إياه عشان
+
+231
+00:15:41,050 --> 00:15:47,640
+ال objects و ال objects هدولة بداخلهم الاسموإضافة
+
+232
+00:15:47,640 --> 00:15:53,100
+إلى ذلك لو ال algorithm بتعمل sorting ل integers
+
+233
+00:15:53,100 --> 00:15:57,500
+غير عن لما بتعمل لل real ال integer ك object صغير
+
+234
+00:15:57,500 --> 00:16:00,760
+ال size تبعه اتنين او اربعة byte بينما لو ال real
+
+235
+00:16:00,760 --> 00:16:04,940
+فهو ضعف ذلك فطبيعة ال object الواحد اللي بتتعامل
+
+236
+00:16:04,940 --> 00:16:07,740
+مع ال algorithm ال input عبارة عن مجموعة من
+
+237
+00:16:07,740 --> 00:16:11,000
+objects طبيعة ال object الواحد اللي له دور على ال
+
+238
+00:16:11,000 --> 00:16:12,020
+size تبع ال input
+
+239
+00:16:15,730 --> 00:16:18,330
+ماشي الحال هذا الجدول فيه مجموعة examples يعني
+
+240
+00:16:18,330 --> 00:16:23,690
+مثلا ال problem finding X in an array تمام ال size
+
+241
+00:16:23,690 --> 00:16:26,830
+of input هو مجموعة من ال numbers لأن ال array
+
+242
+00:16:26,830 --> 00:16:29,950
+عبارة عن مجموعة من ال numbers فهو كل اللي بيسويه
+
+243
+00:16:29,950 --> 00:16:35,070
+انه بياخد number of the elements in the array تمام
+
+244
+00:16:35,070 --> 00:16:40,170
+لو انا ال problem هي multiply two matricesالـ
+
+245
+00:16:40,170 --> 00:16:44,650
+Input Size هو الماتريكس الأولى والماتريكس الثانية
+
+246
+00:16:44,650 --> 00:16:48,110
+اللى دايما ستبقى تلتنين مع بعض، تمام؟ لو أنا بدى
+
+247
+00:16:48,110 --> 00:16:50,390
+أعمل Sorting لـ Array فهو number of elements in
+
+248
+00:16:50,390 --> 00:16:52,750
+the array مافيش غيرها، هي بدى أعملها Sorting لحالي
+
+249
+00:16:53,680 --> 00:16:58,760
+لو انا بدى اعمل بس traversal لـ Tree فال number of
+
+250
+00:16:58,760 --> 00:17:03,200
+nodes هذا هو ال input size فال input size احنا بن
+
+251
+00:17:03,200 --> 00:17:09,680
+.. بنعبر عنه برقم .. برقم يهو عدد الاش عدد عناصر
+
+252
+00:17:09,680 --> 00:17:15,280
+ال input okay إذا بدنا نعمل solution ل system of
+
+253
+00:17:15,280 --> 00:17:18,240
+linear equations يعني عندي مجموعة من ال equations
+
+254
+00:17:18,740 --> 00:17:22,200
+في تلت متغيرات او متغيرين وانا بدي اطلع قيمة
+
+255
+00:17:22,200 --> 00:17:26,100
+المتغيرات هذه فعلى حسب المتغيرات عددها جداش وعلى
+
+256
+00:17:26,100 --> 00:17:29,680
+حسب ال equations عددها جداش بيترتب على ذلك اللي هو
+
+257
+00:17:29,680 --> 00:17:34,480
+size of ال input طيب
+
+258
+00:17:34,480 --> 00:17:38,020
+الان ال measuring ال running time ال running time
+
+259
+00:17:38,020 --> 00:17:42,740
+احنا قلنا مرة اخرىإنه بيعتمد على ال basic
+
+260
+00:17:42,740 --> 00:17:46,100
+operations ماعتمدش على .. ماعتمدش كتير على ال
+
+261
+00:17:46,100 --> 00:17:48,580
+operations اللي بتتم في البداية أو اللي بتتم في
+
+262
+00:17:48,580 --> 00:17:53,040
+النهاية فالخطوة
+
+263
+00:17:53,040 --> 00:17:56,200
+الأساسية في تقدير ال running time ان هو to
+
+264
+00:17:56,200 --> 00:18:02,840
+identify .. انحدد وين هي، نميز وين هل هذي basic و
+
+265
+00:18:02,840 --> 00:18:06,640
+لا مش basic، identify، و بعدين انعدهم ال basic
+
+266
+00:18:06,640 --> 00:18:09,960
+operations، انعدهم اللي في ال .. اللي في ال
+
+267
+00:18:09,960 --> 00:18:15,680
+algorithmالعداد هم الآن خلاص اذا كان والله انا في
+
+268
+00:18:15,680 --> 00:18:18,780
+عندي basic operation واحد اقول مثلا comparison
+
+269
+00:18:18,780 --> 00:18:22,520
+يعني مثلا تعالي على الجدول هذا الجدول هذا انا قفزت
+
+270
+00:18:22,520 --> 00:18:27,660
+slideين تقريبا في مسألة ال finding الهو الجدول
+
+271
+00:18:27,660 --> 00:18:31,760
+الاولاني بس بدل ما كنا بنحكي عن ال number of ال
+
+272
+00:18:31,760 --> 00:18:33,660
+size تبقى ال input اللي انا بنحكي عن ال operations
+
+273
+00:18:33,660 --> 00:18:39,480
+finding x in an array ايش عملية البحث عن رقم في
+
+274
+00:18:39,480 --> 00:18:44,330
+arrayتنطوي على إيش بالظبط العملية الأساسية فيها
+
+275
+00:18:44,330 --> 00:18:48,190
+اللي هي مقارنة الرقم اللي معاه بكل عنصر من عناصر
+
+276
+00:18:48,190 --> 00:18:53,050
+القرية فالعملية الأساسية هي ال comparison في
+
+277
+00:18:53,050 --> 00:18:57,050
+multiplying لما أنا بده أضرب two matrices العملية
+
+278
+00:18:57,050 --> 00:19:01,750
+اللي بتتكرر بشكل طول ال algorithm على مستوى
+
+279
+00:19:01,750 --> 00:19:06,370
+العناصر هي عملية الاش ضرب عنصر .. ضرب عناصر هذا ال
+
+280
+00:19:06,370 --> 00:19:10,290
+algorithm .. هذا المصفوفةبأناصر مصفوفة الأخرى فال
+
+281
+00:19:10,290 --> 00:19:15,350
+multiplication هي ال basic احنا الآن فاكر في شق ال
+
+282
+00:19:15,350 --> 00:19:21,310
+identification مش احنا قولنا identify and ايش and
+
+283
+00:19:21,310 --> 00:19:27,030
+count صح احنا الآن لسه في قضية identifying بعد كده
+
+284
+00:19:27,030 --> 00:19:31,150
+بدنا نشوف هذه ال comparison او هذه ال
+
+285
+00:19:31,150 --> 00:19:35,050
+multiplication أكام مرة طبعا هيبقى في loopبتبقى
+
+286
+00:19:35,050 --> 00:19:39,250
+فيه loop أو loop جوا loop بدنا نشوف هذه ال loops
+
+287
+00:19:39,250 --> 00:19:44,910
+أكا مرة بتتنفذ sorting of an array of numbers
+
+288
+00:19:44,910 --> 00:19:50,350
+عملية ال sort عادة هي بأساسها comparison بنقارن
+
+289
+00:19:50,350 --> 00:19:56,090
+اتنين من العناصر بداخل ال array نفسها عشان نشوف
+
+290
+00:19:56,090 --> 00:19:59,470
+مين أكبر عشان نحطه في المكان الصحيح أو مين أصغر
+
+291
+00:19:59,470 --> 00:20:03,910
+يعني comparison of two array elements plusmoving
+
+292
+00:20:03,910 --> 00:20:07,730
+لأنه بعد ما نقارن بدنا نحطه في المكان الصحيح ففيه
+
+293
+00:20:07,730 --> 00:20:10,970
+moving هي two basic operations اللي هي ال
+
+294
+00:20:10,970 --> 00:20:14,910
+comparison و ال moving traversing احنا بنحكي
+
+295
+00:20:14,910 --> 00:20:17,770
+traversing لا تشتمل على بحث ولا تشتمل على sorting
+
+296
+00:20:17,770 --> 00:20:21,710
+ولا تشتمل على أي شيء بس مجرد المرور عليهم قولي
+
+297
+00:20:21,710 --> 00:20:24,750
+مثلا بس بدنا نطبعهم بدنا نمر عليهم من أولهم لآخرهم
+
+298
+00:20:24,750 --> 00:20:30,550
+فالالـ Basic operation هي الانتقال من ال parent ل
+
+299
+00:20:30,550 --> 00:20:35,090
+ال child عبر ال edge المابيني هاي الجثة بال basic
+
+300
+00:20:35,090 --> 00:20:38,710
+operations okay فانا برجع الآن للأسئلة اللي كنا
+
+301
+00:20:38,710 --> 00:20:42,910
+عليها بناء على ال .. بناء على ال identifying
+
+302
+00:20:42,910 --> 00:20:48,450
+تحديدنا ليه ال .. ال basic operations احنا بنيجي
+
+303
+00:20:48,450 --> 00:20:55,590
+نقدر نقول انه على فرض انه C of N C اللي هي C small
+
+304
+00:20:56,560 --> 00:21:04,380
+للـ operation الواحدة بعد ما نكون حددنا ال cost
+
+305
+00:21:04,380 --> 00:21:09,380
+تبع ال operation الواحدة بنقدر نقدر الزمن كله على
+
+306
+00:21:09,380 --> 00:21:16,640
+أساس ان ال T of N لكل ال execution time يعني لكل
+
+307
+00:21:16,640 --> 00:21:20,780
+ال input على انه عبارة عن C ال cost تبع ال
+
+308
+00:21:20,780 --> 00:21:26,280
+operation الواحدةالـ operation هذه مافيش الها in
+
+309
+00:21:26,280 --> 00:21:32,520
+لأنها تكلفة ال operation واحدة مضروف في ايش مضروف
+
+310
+00:21:32,520 --> 00:21:41,840
+في مضروف في ايش الزمن اجمالي مضروف في عدد مرات عدد
+
+311
+00:21:41,840 --> 00:21:47,380
+مرات اللي هنا capital C عدد مرات تنفيذ ال
+
+312
+00:21:47,380 --> 00:21:51,300
+operation هذه على ال input كله هذا على فرض انها
+
+313
+00:21:51,300 --> 00:21:55,130
+operation واحدة لو اكتر من operationبنكتب COP زي
+
+314
+00:21:55,130 --> 00:22:02,550
+C1 زي C2 زي C1
+
+315
+00:22:02,550 --> 00:22:10,130
+زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي
+
+316
+00:22:10,130 --> 00:22:12,370
+C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2
+
+317
+00:22:12,370 --> 00:22:12,370
+زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي
+
+318
+00:22:12,370 --> 00:22:12,370
+C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2
+
+319
+00:22:12,370 --> 00:22:12,370
+زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي
+
+320
+00:22:12,370 --> 00:22:22,990
+C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2 زي C2
+
+321
+00:22:22,990 --> 00:22:29,210
+زيفلذلك بنقول تقريبا يعني الزمن الإجمالي لتنفيذ ال
+
+322
+00:22:29,210 --> 00:22:35,320
+algorithm على input N تقريبا يساويالزمن تبع ال
+
+323
+00:22:35,320 --> 00:22:38,800
+operation ال basic operation مضروب في عدد مرات
+
+324
+00:22:38,800 --> 00:22:46,160
+تكرارها صار جزء الأساسي منها هي تركز عملية التحليل
+
+325
+00:22:46,160 --> 00:22:49,900
+ال time efficiency أو ال time efficiency analysis
+
+326
+00:22:49,900 --> 00:22:55,780
+صارت مركز على تحديد إيش هي ال basic operations ثم
+
+327
+00:22:55,780 --> 00:23:02,080
+تحديد عدد مرات تكرارها صح ولا؟هذا .. هذا زمن
+
+328
+00:23:02,080 --> 00:23:06,180
+تقديرنا للزمن الإجمالي لتنفيذ ال algorithm على كل
+
+329
+00:23:06,180 --> 00:23:14,700
+ال input يعادل تقريبا تقديرنا لزمن العملية الواحدة
+
+330
+00:23:14,700 --> 00:23:18,080
+العملية ال basic الواحدة جداش بتاخد وجد يعني ايش
+
+331
+00:23:18,080 --> 00:23:20,220
+عملية ال basic يعني عملية ال multiplication مثلا
+
+332
+00:23:20,220 --> 00:23:23,780
+عملية ال moving عملية ال assignment و أكا مرة
+
+333
+00:23:23,780 --> 00:23:30,250
+بتاخد أكا مرة بتتكرر okayأكام مرة ايوة اكام مرة ال
+
+334
+00:23:30,250 --> 00:23:38,770
+algorithm بتنفذ هذه العملية ماشي فهذا الأمر هو
+
+335
+00:23:38,770 --> 00:23:43,270
+ال framework تبعنا هو الإطار العام لعملية تحليل ال
+
+336
+00:23:43,270 --> 00:23:46,610
+efficiency تبع ال algorithm من ناحية تحليلها من
+
+337
+00:23:46,610 --> 00:23:52,170
+ناحية الزمن طبعاو مثل ذلك لو انا بدي اقدر ال space
+
+338
+00:23:52,170 --> 00:23:57,110
+باجي بقول ال cost space cost جديش ال operation
+
+339
+00:23:57,110 --> 00:24:02,070
+الواحدة بتكلف memory و اكم مرة بتتكرر فهذا بيطلع
+
+340
+00:24:02,070 --> 00:24:07,330
+معايا ال S of N ال space او ال storage of N لذلك
+
+341
+00:24:07,330 --> 00:24:11,650
+انا بقول ان عملية ال analysis تبع ال time هي نفس
+
+342
+00:24:11,650 --> 00:24:15,130
+أدواتها او نفس أسلوب عملية التحليل اللي هو ال
+
+343
+00:24:15,130 --> 00:24:16,710
+space
+
+344
+00:24:19,260 --> 00:24:27,020
+بعد ذلك نقطة اخرى ان احنا ..
+
+345
+00:24:27,020 --> 00:24:34,860
+ان احنا لما بنطلع على الزمن اللازم اللي في الآخر
+
+346
+00:24:34,860 --> 00:24:40,200
+طلع معانا افترض الحسبة هذه طلعت معايا ان T of N
+
+347
+00:24:40,200 --> 00:24:41,000
+بتساوي
+
+348
+00:24:48,490 --> 00:24:53,030
+طلعت معايا المعادلة هذه انا الآن في ال analysis في
+
+349
+00:24:53,030 --> 00:24:58,850
+ال theoretical analysis مش معنى كتير بالارقام ال
+
+350
+00:24:58,850 --> 00:25:03,010
+constants انا معنى بالمتغير اللي جاعد بتغير في
+
+351
+00:25:03,010 --> 00:25:07,550
+المعادلة اللي هو هنا ال N طيب هل ال N ال two of N
+
+352
+00:25:07,550 --> 00:25:14,480
+هذي الآن عبارة عن N square ناقص N على اتنين صح؟صح؟
+
+353
+00:25:14,480 --> 00:25:18,040
+okay في عندي أنا variable اللي هو ال in اللي هو ال
+
+354
+00:25:18,040 --> 00:25:25,280
+size التغير تبعه quadratic يعني square مظبوط فانا
+
+355
+00:25:25,280 --> 00:25:30,160
+هذا اللي بده اطلع عليه بيعنيني اكتر اشي لأنه في ال
+
+356
+00:25:30,160 --> 00:25:35,640
+analysis احنا مش هدفنا نحسب الزمن بالظبط هدفنا نبص
+
+357
+00:25:35,640 --> 00:25:41,400
+على ال growth تبع ال algorithm النمو تبعAs if مش
+
+358
+00:25:41,400 --> 00:25:44,180
+ال algorithm تبع هي الزمن اللي بتستغرقه ال
+
+359
+00:25:44,180 --> 00:25:49,140
+algorithm بناء على ال size تبع ال input يعني اشوف
+
+360
+00:25:49,140 --> 00:25:56,980
+هي ال size لما بيكبر كيف شكل الزمن ال execution
+
+361
+00:25:56,980 --> 00:26:02,060
+time بيكبر هل يا ترى بيكبر بشكل مضطرد واحدة بواحدة
+
+362
+00:26:02,060 --> 00:26:09,980
+ولاوشكل square ولا أجل ولا كيف بالظبط فانا هذا شكل
+
+363
+00:26:09,980 --> 00:26:15,380
+ال algorithm شكل ال function بتبين معايا من مين من
+
+364
+00:26:15,380 --> 00:26:19,320
+المتغيرات هل هي متغير واحد هو طبعا متغير واحد اللي
+
+365
+00:26:19,320 --> 00:26:26,460
+هو ال size وكيف بالظبط ال order تبعه هل هو n هل هو
+
+366
+00:26:26,460 --> 00:26:31,320
+log n هل هو n square n cube هذه النقطة اللي أنا
+
+367
+00:26:31,320 --> 00:26:35,690
+بدور عليهو هذه تحصيل حاصل اول اشي اقدر احدد ال
+
+368
+00:26:35,690 --> 00:26:40,570
+basic operations احدد جديش عدد مرات تكرارهم عشان
+
+369
+00:26:40,570 --> 00:26:44,950
+اطلع mathematical formula زي هذه عشان بعد هيك على
+
+370
+00:26:44,950 --> 00:26:49,550
+طول بالنظر بالنظر الى ال formula اجي اقول ان والله
+
+371
+00:26:49,550 --> 00:26:58,520
+هذه ال algorithm الزمن تبعها بينمو بينموهه بينمو
+
+372
+00:26:58,520 --> 00:27:05,440
+اما in square او in cube او in .. هذا النتيجة
+
+373
+00:27:05,440 --> 00:27:08,560
+النهائية هي اللي باخدها عشان اقارن هذه ال
+
+374
+00:27:08,560 --> 00:27:13,100
+algorithm مع ال algorithmات الأخرى okay خلاص بنوجف
+
+375
+00:27:13,100 --> 00:27:18,000
+احنا and هنا و المحاضرة الجاية بنبدأ في section
+
+376
+00:27:18,000 --> 00:27:22,190
+one point two في في .. آسف two point twoفي في آخر
+
+377
+00:27:22,190 --> 00:27:27,930
+one point one example صغير ل algorithm اللي هي بس
+
+378
+00:27:27,930 --> 00:27:33,990
+تعمل search في داخل array مطلوب انك انت تيجي تقولي
+
+379
+00:27:33,990 --> 00:27:38,190
+ال worst case تبع هذا ال algorithm هل جد و ال best
+
+380
+00:27:38,190 --> 00:27:42,650
+case هل جد و ال average case هل جد ال worst case
+
+381
+00:27:42,650 --> 00:27:50,510
+يعني ايش يعني اسوأ ايش اسوأ ايشأسوأ زمن ممكن
+
+382
+00:27:50,510 --> 00:27:53,430
+تستغرقوا ال algorithm لأن هذا أسوأ زمن يابانات
+
+383
+00:27:53,430 --> 00:27:56,930
+خلوكم معايا أسوأ زمن أنا ممكن يبقى عندي ال
+
+384
+00:27:56,930 --> 00:28:03,920
+algorithm بعطيه لها عشر عناصر أو مية عنصرهل ممكن
+
+385
+00:28:03,920 --> 00:28:09,700
+يتغير أداء ال algorithm؟ يعني انا ممكن اعطيلها 100
+
+386
+00:28:09,700 --> 00:28:13,060
+عناصر، هل دايما على ال 100 عناصر اللي هيبقى زمان
+
+387
+00:28:13,060 --> 00:28:17,180
+بتستخرج نفس الزمان؟ حسب ترتيب العناصر، صح؟ اذا هم
+
+388
+00:28:17,180 --> 00:28:21,160
+.. اذا انا ما تستخدم دي هي ترتبهم، و هم مرتبين
+
+389
+00:28:21,160 --> 00:28:26,710
+اصلا، هتاخد minimumإذا هم مرتبين بالعكس هتاخد
+
+390
+00:28:26,710 --> 00:28:32,510
+worst case صح؟ فالزمن اللي بيعتمد على حالة ال
+
+391
+00:28:32,510 --> 00:28:37,350
+input مش على بس طوله فانت المثال هذا اللي أمامك بس
+
+392
+00:28:37,350 --> 00:28:40,930
+بدك تقولي ال worst case هيكون هيك ال best case
+
+393
+00:28:40,930 --> 00:28:46,750
+هيكون هيك و ال average case هيكون كده بدا
+
+394
+00:28:46,750 --> 00:28:52,670
+على تقديرك لحالات ال input المحتملة ففي
+
+395
+00:28:52,670 --> 00:28:58,170
+الحالة هذهفي الحالة هذه وبشرط ان يكون توزيع
+
+396
+00:28:58,170 --> 00:29:04,630
+الأرقام في ال input توزيع عشوائي مايبقاش في انحياز
+
+397
+00:29:04,630 --> 00:29:08,390
+يعني مثلا افترض ان انا بدور على رقم صغير integer
+
+398
+00:29:08,390 --> 00:29:13,530
+صغير أقل من عشرة وانا اعلم ان ال list ال input
+
+399
+00:29:13,530 --> 00:29:18,730
+دائما الأرقام الصغيرة بتبقى في الأول اذا نعلم ان
+
+400
+00:29:18,730 --> 00:29:25,220
+الأرقام الصغيرة بتبقى في الأول يبقىفي المتوسط ال
+
+401
+00:29:25,220 --> 00:29:30,280
+algorithm مش هتلف القرية كلها يا دوبك هتلف التلت
+
+402
+00:29:30,280 --> 00:29:35,560
+الأولاني أو بالكتير النص و تكون لجاته اه يبقى ال
+
+403
+00:29:35,560 --> 00:29:42,120
+average case هنا هي ربما تلت ال N مش نص ال N لأن N
+
+404
+00:29:42,120 --> 00:29:48,550
+زائد 1 على 2 يعني تقريبا نص ال Nهذا لما نكون
+
+405
+00:29:48,550 --> 00:29:51,610
+عشوائي لكن لما نكون احنا عارفين ان الرقم اللي احنا
+
+406
+00:29:51,610 --> 00:29:54,390
+بندور عليه صغير و الأرقام الصغيرة عادة مابتيجي في
+
+407
+00:29:54,390 --> 00:29:58,910
+الأول يبقى ال average مش ال average انه بالعادة
+
+408
+00:29:58,910 --> 00:30:03,110
+هتلاقي ال algorithm هتلاقي ال input هتلاقي المطلوب
+
+409
+00:30:03,110 --> 00:30:07,810
+في التلت الأول يعني يبقى تلت in مش هتمشي اكتر من
+
+410
+00:30:07,810 --> 00:30:14,010
+تلت ال inputفاللي انت بدك تقولي ان ال average case
+
+411
+00:30:14,010 --> 00:30:16,550
+هذا ال best case و هذا ال worst case ال average
+
+412
+00:30:16,550 --> 00:30:24,650
+case ان T of N بساوي N زائد واحد على اتنين على فرض
+
+413
+00:30:25,450 --> 00:30:29,690
+على فرض انه .. على فرض انه ال input موزع توزيع
+
+414
+00:30:29,690 --> 00:30:32,810
+عشوائي normal distribution ماشي الحال احنا الآن
+
+415
+00:30:32,810 --> 00:30:36,010
+نكون
+
+416
+00:30:36,010 --> 00:30:39,930
+غطينا اللي هو section اتنين واحد المحاضرة الجاية
+
+417
+00:30:39,930 --> 00:30:43,430
+ان شاء الله بنبدأ في section two point two اللي هو
+
+418
+00:30:43,430 --> 00:30:47,410
+ال analysis باستخدام ال big O notation اعطيكم
+
+419
+00:30:47,410 --> 00:30:47,730
+العافية
+
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yzzeuqQHuj8.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yzzeuqQHuj8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..008914bad48699f15361344a75e4e4b7aa8f9d95
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yzzeuqQHuj8.srt
@@ -0,0 +1,1347 @@
+1
+00:00:20,910 --> 00:00:23,710
+ماشي الحاجة، بسم الله الرحمن الرحيم، الصلاة والسلام
+
+2
+00:00:23,710 --> 00:00:27,670
+على أشرف المرسلين. اليوم، إن شاء الله، بنكمل في
+
+3
+00:00:27,670 --> 00:00:31,070
+chapter الـ Transform and Conquer. كنا بدأنا
+
+4
+00:00:31,070 --> 00:00:35,190
+المحاضرة الماضية، كانت المحاضرة الأولى، و بدأنا أولا
+
+5
+00:00:35,190 --> 00:00:39,450
+عرفنا إيش أنواع الـ Transform and Conquer. كان فينا
+
+6
+00:00:39,450 --> 00:00:42,470
+ثلاثة أنواع أساسية، اللي هو الـ instance
+
+7
+00:00:42,470 --> 00:00:45,730
+simplification، وبعدين الـ representation change، و
+
+8
+00:00:45,730 --> 00:00:48,670
+بعدين الـ problem reduction. و كان في المحاضرة
+
+9
+00:00:48,670 --> 00:00:54,210
+السابقة، غطينا الـ instance simplification، شرحنا
+
+10
+00:00:54,210 --> 00:00:57,950
+اللي هو الـ pre sorting، على أنه شكل من أشكال الـ
+
+11
+00:00:57,950 --> 00:01:01,910
+instance simplification. المحاضرة هي، إن شاء الله،
+
+12
+00:01:01,910 --> 00:01:05,570
+بنتناول النوع الثاني، اللي هو representation change،
+
+13
+00:01:05,570 --> 00:01:09,970
+والمثال
+
+14
+00:01:09,970 --> 00:01:13,050
+على ذلك، اللي هو الـ Gaussian elimination. الـ
+
+15
+00:01:13,050 --> 00:01:15,790
+Gaussian elimination، ربما مر عليكم مفهوم الـ
+
+16
+00:01:15,790 --> 00:01:19,630
+Gaussian elimination، إما في الـ linear algebra، أو
+
+17
+00:01:19,630 --> 00:01:24,770
+في الرياضيات والحوسبة. إذا أحد أخذ هذه المادة،
+
+18
+00:01:24,770 --> 00:01:29,410
+فأكيد أخذ هذا المفهوم. هذا المفهوم، ببساطة، أنا
+
+19
+00:01:29,410 --> 00:01:33,090
+هأطلع على المثال هذا. المثال هذا، إن إيش يعني،
+
+20
+00:01:33,090 --> 00:01:38,440
+إيش الـ problem أصلا؟ أصلا الـ problem بتكون: في عندي
+
+21
+00:01:38,440 --> 00:01:42,400
+system of equations، system of linear equations.
+
+22
+00:01:42,400 --> 00:01:45,500
+تمام، هذا الـ system يتكوّن من مجموعة من الـ
+
+23
+00:01:45,500 --> 00:01:49,680
+equations، عدد n من الـ equations، وأيضا كل equation
+
+24
+00:01:49,680 --> 00:01:53,160
+في n number of variables. يعني بيبقى عندي ثلاثة
+
+25
+00:01:53,160 --> 00:01:59,780
+equations، وبيكون عندي ثلاثة: X1، X2، X3، X4، X5، X6، X7،
+
+26
+00:01:59,780 --> 00:02:03,320
+X8، X9، X10، X11، X12، X13، X12، X13، X13، X13، X13، X13، X13،
+
+27
+00:02:03,320 --> 00:02:06,020
+X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13،
+
+28
+00:02:06,020 --> 00:02:06,620
+X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13،
+
+29
+00:02:06,620 --> 00:02:06,680
+X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13،
+
+30
+00:02:06,680 --> 00:02:07,080
+X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13،
+
+31
+00:02:07,080 --> 00:02:08,880
+X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13، X13،
+
+32
+00:02:08,880 --> 00:02:17,860
+X13، X13، X13، X13، X13، X13، X13، X13،
+
+33
+00:02:18,240 --> 00:02:20,680
+المطلوب: تـ solve هذا الـ system. إيش يعني solve هذا الـ
+
+34
+00:02:20,680 --> 00:02:23,640
+system؟ solve هذا الـ system يعني إيجاد قيم المتغيرات
+
+35
+00:02:23,640 --> 00:02:29,780
+هذول: X1، X2، لغاية XN. إيش القيمة؟ إن قيمة Gaussian
+
+36
+00:02:29,780 --> 00:02:37,000
+elimination، نسبة إلى Gauss أو جاوس. فالـ
+
+37
+00:02:37,000 --> 00:02:40,300
+elimination هنا، إيش معناها؟ eliminate المتغيرات
+
+38
+00:02:40,300 --> 00:02:44,880
+بشكل بحيث أنه يبقى فيه عدد
+
+39
+00:02:48,020 --> 00:02:58,040
+الـ lower triangular zeros.  تخيلي أن هذا الـ
+
+40
+00:02:58,040 --> 00:03:03,160
+system، عبّرنا عنه على شكل مصفوفة تحتوي على فقط الـ
+
+41
+00:03:03,160 --> 00:03:07,520
+coefficients. بسطنا العملية، الـ variables، خليناها...
+
+42
+00:03:07,520 --> 00:03:11,460
+شيلناها، وأخذنا بس الـ coefficients. فعندي الاثنين،
+
+43
+00:03:11,460 --> 00:03:15,850
+والثلاثة، والواحد. هدول الـ coefficients، صح؟ هذا
+
+44
+00:03:15,850 --> 00:03:19,830
+السطر الأول، هو الـ equation الأولى. سطر الثاني، الـ
+
+45
+00:03:19,830 --> 00:03:26,230
+equation الثانية. equation الثالثة. ماشي الحال، بس الـ
+
+46
+00:03:26,230 --> 00:03:30,010
+coefficients، وأخذنا معاهم عمود إضافي. يعني أنت
+
+47
+00:03:30,010 --> 00:03:34,570
+زي اللحظة هنا. هدول أربعة n زائد واحد، وهدول
+
+48
+00:03:34,570 --> 00:03:39,150
+ثلاثة n، تمام؟
+
+49
+00:03:40,980 --> 00:03:44,200
+الرابع هذا العمود، هو عمود يمثل الـ right hand side
+
+50
+00:03:44,200 --> 00:03:49,280
+تبع الـ equations، مظبوط؟ فدمجناهم، الـ right hand side
+
+51
+00:03:49,280 --> 00:03:53,780
+مع الـ coefficients، في المصفوفة الموحدة هذه. okay.
+
+52
+00:03:53,780 --> 00:03:57,580
+فلو أنا بأطلع بس على الشق الخاص بالـ coefficients،
+
+53
+00:03:57,580 --> 00:04:00,680
+تمام.
+
+54
+00:04:00,680 --> 00:04:05,760
+هألاحظ أنه في عندي، في الصيغة هذه النهائية، في
+
+55
+00:04:05,760 --> 00:04:09,890
+عندي المثلث اللي تحت هذا، الـ lower Triangle. الـ
+
+56
+00:04:09,890 --> 00:04:12,670
+lower Triangle، وهذا الـ upper Triangle. الـ lower
+
+57
+00:04:12,670 --> 00:04:17,990
+Triangle، هو صفر. لما أنا بأصل للصيغة هذه، بكون
+
+58
+00:04:17,990 --> 00:04:23,050
+خلاص انحلت. ليش؟ لأن هنا الـ equation الأخيرة،
+
+59
+00:04:23,050 --> 00:04:29,090
+الثالثة، اختزلت لعبارة عن اثنين X. إيش هذا؟ هذا
+
+60
+00:04:29,090 --> 00:04:35,490
+العمود X ثلاثة، يساوي اثنين. يبقى على طول X
+
+61
+00:04:35,490 --> 00:04:36,050
+ثلاثة،
+
+62
+00:04:44,290 --> 00:04:52,450
+بعد ذلك، إذا عرفت X ثلاثة قيمتها، سأعوض هذه القيمة في
+
+63
+00:04:52,450 --> 00:04:58,170
+equation number two، أجيب
+
+64
+00:04:58,170 --> 00:05:04,090
+X اثنين. عرفت X اثنين، وأنا معي X ثلاثة، أعوض في equation
+
+65
+00:05:04,090 --> 00:05:08,970
+number one، أجيب X واحد. هذا اسمه Backward Substitution.
+
+66
+00:05:08,970 --> 00:05:11,890
+زي قصة الـ Backward Substitution اللي شفناها أيام
+
+67
+00:05:11,890 --> 00:05:15,390
+ما كنا بنحكي عن الـ Mathematical Analysis للـ
+
+68
+00:05:15,390 --> 00:05:19,030
+Complexity. تبعة الخوارزميات. Backward Substitution في
+
+69
+00:05:19,030 --> 00:05:23,430
+الأول، بعمل Forward Elimination.
+
+70
+00:05:23,430 --> 00:05:30,390
+Eliminate من الـ variables. Eliminate the variables
+
+71
+00:05:30,390 --> 00:05:36,090
+واحد وراء الثاني. لما أصل لآخر equation، وعندي بس آخر
+
+72
+00:05:36,090 --> 00:05:41,270
+variable، آخر variable في آخر equation. ماشي الحال.
+
+73
+00:05:41,270 --> 00:05:46,010
+فإما هذه الـ equation، مصفوفة بغض النظر عن حجمها، فعندي
+
+74
+00:05:46,010 --> 00:05:51,290
+هي الـ diagonal، هذا الـ upper triangular، وهذا الـ
+
+75
+00:05:51,290 --> 00:05:58,740
+lower triangle، ما تحت الـ diagonal. هذا لما
+
+76
+00:05:58,740 --> 00:06:05,180
+نحوله إلى zeros، بكون أنا... بكون أنا آخر
+
+77
+00:06:05,180 --> 00:06:09,920
+variable في آخر equation.  إن عرفت القيمة... إن عرفت
+
+78
+00:06:09,920 --> 00:06:14,480
+القيمة تبعتها، أنا ببدأ أستخدم مين؟ اللي هو العمود تبع
+
+79
+00:06:14,480 --> 00:06:19,640
+الـ... العمود تبع الـ right hand side. عرفت قيمته، بعمل
+
+80
+00:06:19,640 --> 00:06:23,820
+الـ Backward Substitution. فهذا الكلام اسمه
+
+81
+00:06:23,820 --> 00:06:27,680
+Gaussian Elimination. وما هو شيء جديد، نقول هو
+
+82
+00:06:27,680 --> 00:06:31,020
+Algorithm مبتكرة، إنما هو واحد من الـ numerical
+
+83
+00:06:31,020 --> 00:06:37,100
+methods اللي بتستخدم في حل الـ systems of linear
+
+84
+00:06:37,100 --> 00:06:43,530
+equations. احنا الآن، بناخذ هذا كمثال على إيش؟ على الـ
+
+85
+00:06:43,530 --> 00:06:47,490
+representation change. أنه كانت في الأصل الـ problem
+
+86
+00:06:47,490 --> 00:06:54,870
+معطاة لي على شكل عبارة عن الـ coefficients، و
+
+87
+00:06:54,870 --> 00:06:56,970
+الـ right hand side. بدي أعمل change للـ
+
+88
+00:06:56,970 --> 00:07:02,470
+representation، بحيث نصير هيك، وراجع أقدر
+
+89
+00:07:02,470 --> 00:07:09,080
+أحلها بالـ backward substitution مباشرة. احنا الـ
+
+90
+00:07:09,080 --> 00:07:12,260
+method أصلا مش هي الجديدة، بس بدنا نعبر عنها بـ
+
+91
+00:07:12,260 --> 00:07:16,380
+algorithm، لأن بدنا نعمل الـ algorithm اللي... اه، بس
+
+92
+00:07:16,380 --> 00:07:20,660
+لسه ما حكيناش احنا كيف أصلا وصلنا لل... لتصفير الـ
+
+93
+00:07:20,660 --> 00:07:26,540
+lower triangle هذا. ما حكيناش كيف حولنا هذه، أو ممكن
+
+94
+00:07:26,540 --> 00:07:27,780
+تحويل هذه إلى هذه.
+
+95
+00:07:31,080 --> 00:07:34,740
+بتذكروا إيش لما أنتم درستوا الموضوع هذا، في أنه
+
+96
+00:07:34,740 --> 00:07:39,760
+عدة basic operations بتنعمل، زي مثلا أنه آجي على صف
+
+97
+00:07:39,760 --> 00:07:47,400
+من الصفوف، وأروح إيش؟ أجمعه مع صف آخر، وأحط
+
+98
+00:07:47,400 --> 00:07:51,120
+المجموع بداله. يعني آجي أقول: بدي أستبدل equation
+
+99
+00:07:51,120 --> 00:07:55,070
+number two، أو row number two، أستبدله بإيش؟ بيحصل
+
+100
+00:07:55,070 --> 00:07:59,350
+جمعه مع اللي فوقه، أو مع اللي تحته. شو استفدت من هذه
+
+101
+00:07:59,350 --> 00:08:05,350
+العملية؟ إذا والله حصل الجمع هذا، بيصفر لي... بيصفر لي
+
+102
+00:08:05,350 --> 00:08:09,090
+يعني إذا والله هذا، في عندي أربعة، وفي عندي سالب
+
+103
+00:08:09,090 --> 00:08:14,290
+أربعة، على سبيل المثال، في واحد من الأسطر الأخرى، وأنا جمعت، و
+
+104
+00:08:14,290 --> 00:08:19,530
+حطيت المجموع. لما أجمع، بيصفر السطر، صح؟ هنا
+
+105
+00:08:20,490 --> 00:08:24,950
+ما بنعمل هيك. بنعمل هذا، بس قبل ما نجمع، وإحنا ضربنا
+
+106
+00:08:24,950 --> 00:08:32,330
+العنصر. أنا بأطلع كيف. هنا، بدنا نجي ناخذ Row 2، نحط
+
+107
+00:08:32,330 --> 00:08:40,650
+بداله إيش؟ حاصل طرح Row 2 ناقص Row 1، بس قبل ما نضرب
+
+108
+00:08:40,650 --> 00:08:45,670
+Row 1 في إيش؟ في equation
+
+109
+00:08:45,670 --> 00:08:48,990
+2، بساوي equation 2
+
+110
+00:08:51,580 --> 00:08:55,300
+ناقص أربعة على اثنين equation one. أنا بقول
+
+111
+00:08:55,300 --> 00:08:59,900
+equation، يعني Row. equation، يعني Row. لأ لأ، okay.
+
+112
+00:08:59,900 --> 00:09:03,980
+الأربعة على اثنين، ما هي اثنين. بس ليش هذه الفلسفة؟
+
+113
+00:09:03,980 --> 00:09:07,120
+أربعة على اثنين الآن، بس كمان شوية هنشوف إيش السبب
+
+114
+00:09:07,120 --> 00:09:10,980
+إن احنا بنعملها على شكل ratio. إيش يعني أربعة على
+
+115
+00:09:10,980 --> 00:09:15,800
+اثنين؟ يعني إيه؟ equation رقم واحد، اضربها في أربعة
+
+116
+00:09:15,800 --> 00:09:21,000
+على اثنين. إيش بيصير؟ هي equation number one، ضرب
+
+117
+00:09:21,000 --> 00:09:33,240
+أربعة على اثنين، إيش بيساوي؟ اثنين. ثم ثم ثم ثم
+
+118
+00:09:33,240 --> 00:09:38,840
+ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم
+
+119
+00:09:38,840 --> 00:09:41,840
+ثم ثم ثم
+
+120
+00:09:43,810 --> 00:09:46,870
+طبعا، أنا لما أقول أجمع، ولا أقول أطرح، نفس الشيء.
+
+121
+00:09:46,870 --> 00:09:50,450
+ما هو الجمع، والطرح، هي عبارة عن جمع، بس بالسالب. اه.
+
+122
+00:09:50,450 --> 00:09:56,130
+لأن هذا اللي نطرحه، بعد ما ضربنا هذا الكلام. لأن
+
+123
+00:09:56,130 --> 00:10:00,130
+نطرحه من Row number 2، ونحط الناتج بدل Row number 2. إيش
+
+124
+00:10:00,130 --> 00:10:05,630
+الطرح؟ إيش Row number 2؟ إيش بيطلع الناتج؟ هاي الـ
+
+125
+00:10:05,630 --> 00:10:11,730
+zero. هاي واحد ناقص اثنين... واحد ناقص ناقص اثنين، يعني
+
+126
+00:10:11,730 --> 00:10:15,550
+واحد زائد اثنين، ثلاثة. ناقص واحد، ناقص اثنين، ناقص
+
+127
+00:10:15,550 --> 00:10:23,530
+ثلاثة. واحد، ثلاثة. هذا الناتج، حطيناه بدل Row number اثنين.
+
+128
+00:10:23,530 --> 00:10:27,210
+أصبح Row number اثنين الجديد، يساوي Row number اثنين
+
+129
+00:10:27,210 --> 00:10:36,010
+الأصلي، ناقص عملية الضرب هذه، اللي هي الـ ratio هذا.
+
+130
+00:10:36,010 --> 00:10:41,010
+انضرب في Row number واحد. فإحنا عندنا هذه العملية، هي
+
+131
+00:10:41,010 --> 00:10:44,930
+تضرب عامل  فيها هنا، وعامل في هنا. في عندي ratio
+
+132
+00:10:44,930 --> 00:10:52,990
+مضروب في سطر، والناتج مطروح من سطر. okay okay. هنا
+
+133
+00:10:52,990 --> 00:10:59,170
+هنا، هنا في عندي، بدي أوريكم إيش الـ... هذه عبارة عن
+
+134
+00:10:59,170 --> 00:11:02,190
+basic operations. في عندي الـ basic operations، في
+
+135
+00:11:02,190 --> 00:11:06,630
+عندي هذه، اللي هو exchanging، مجرد أنه أستبدل two
+
+136
+00:11:06,630 --> 00:11:15,740
+rows. هذه، وإمكانية إن أنا آخذ equation، أضربها في شيء
+
+137
+00:11:15,740 --> 00:11:20,980
+يعني هنا، أربعة على اثنين، ضربنا في equation واحد. لو
+
+138
+00:11:20,980 --> 00:11:24,500
+ببساطة، هذا بمجرد عملية الضرب، حطيناها محل equation
+
+139
+00:11:24,500 --> 00:11:27,760
+number واحد. هذا برضه basic operation، إن أستبدل الـ
+
+140
+00:11:27,760 --> 00:11:33,280
+equation بنفسها مضروبة في factor، أو إن أستبدل الـ
+
+141
+00:11:33,280 --> 00:11:39,730
+equation بنفسها، مجموعها مع حاصل ضرب إيش؟ equation
+
+142
+00:11:39,730 --> 00:11:44,570
+أخرى مضروبة في factor. okay. فهذه عموما، اللي هو
+
+143
+00:11:44,570 --> 00:11:48,730
+المجموعة من الـ basic أو الـ elementary operations
+
+144
+00:11:48,730 --> 00:11:52,190
+اللي ممكن تنعمل. اللي إحنا هنا استخدمنا في المثال هذا
+
+145
+00:11:52,190 --> 00:11:56,890
+هو عبارة عن تقريبا الأخيرة، اللي هي إن نستخدم الـ
+
+146
+00:11:56,890 --> 00:12:02,930
+equation، بيحصل جمعها أو طرحها، مع اللي هو equation
+
+147
+00:12:02,930 --> 00:12:08,890
+أخرى، انضربت في factor، صح؟ هذا الكلام الآن، إحنا ممكن
+
+148
+00:12:08,890 --> 00:12:16,130
+نعمل له algorithm. عملية الاستبدال هذه، استبدال الـ row
+
+149
+00:12:16,130 --> 00:12:23,630
+بـ row آخر، الـ row  بحاصل جمعها مع row آخر، مضروب في الـ
+
+150
+00:12:23,630 --> 00:12:29,630
+factor. فاللي هيحصل، أنه هي الـ algorithm اللي هيحصل
+
+151
+00:12:29,630 --> 00:12:31,490
+أنه هأحتاج إلى ثلاثة loops.
+
+152
+00:12:36,790 --> 00:12:45,190
+خلينا هذا شوية. ممكن نقول: لأ، ما نزلناش اللي
+
+153
+00:12:45,190 --> 00:12:53,410
+هيحصل، إن احنا هنحتاج إلى... في عندنا loop، بيبقى I، و
+
+154
+00:12:53,410 --> 00:12:59,830
+في عندنا J، وفي عندنا K. هنجي نيجي على some equation،
+
+155
+00:12:59,830 --> 00:13:03,510
+ونبحث تحتها عن equation أخرى،
+
+156
+00:13:05,970 --> 00:13:11,890
+ممكن نعمل عليهم عملية الاستبدال. الـ equation الأخرى،
+
+157
+00:13:11,890 --> 00:13:23,670
+هي الـ J، هي اللي بدنا نصفر المقدمة تبعتها. خليني
+
+158
+00:13:23,670 --> 00:13:29,130
+آخذ على سبيل المثال: J، I = 2، J = 4، و K
+
+159
+00:13:29,130 --> 00:13:29,810
+= 5.
+
+160
+00:13:33,880 --> 00:13:37,220
+خلي بالك، احنا عندنا الـ algorithm هي الـ... الـ...
+
+161
+00:13:37,220 --> 00:13:41,760
+الـ... الـ... العمليات الأساسية تبعتها. هذه العملية،
+
+162
+00:13:41,760 --> 00:13:43,820
+إذا أنت بتطلع على الـ algorithm، هذه العملية إيش
+
+163
+00:13:43,820 --> 00:13:49,800
+بتعمل؟ مجرد عملية initialization، اللي بتخدم الغرض
+
+164
+00:13:49,800 --> 00:13:54,620
+منها، الدمج. لأن هو الـ input بيجيني على شكل جزئين،
+
+165
+00:13:54,620 --> 00:13:58,340
+جزء اللي هو مصفوفة الـ coefficients، وجزء اللي هو
+
+166
+00:13:58,340 --> 00:14:01,140
+العمود أو المصفوفة، اللي هي الـ right hand side values.
+
+167
+00:14:01,140 --> 00:14:08,780
+هنا بس إحنا بنعمل عملية الدمج. okay. بنعمل، بنضيف
+
+168
+00:14:08,780 --> 00:14:13,520
+بندمجها على العمود الأخير، n plus one، اللي هو
+
+169
+00:14:13,520 --> 00:14:16,340
+القيم تابعة الـ right hand side values. فهذا بس مجرد
+
+170
+00:14:16,340 --> 00:14:23,240
+augmenting. دمج المصفوفة
+
+223
+00:19:50,960 --> 00:19:55,460
+و أكرر فهذا هو عملياً مضمون السطر الأخير، هذا الذي
+
+224
+00:19:55,460 --> 00:20:02,990
+في اللوب الداخلية مرة أخرى، كل خلية بطرح منها نفسها
+
+225
+00:20:02,990 --> 00:20:07,790
+... آسف، المقابلة إليها في الـ I، كل خلية في الـ J بطرح منها
+
+226
+00:20:07,790 --> 00:20:12,210
+المقابلة إليها في الـ I بعد ما أضربها في من؟ في الـ
+
+227
+00:20:12,210 --> 00:20:16,370
+ratio، هذا تمام؟
+
+228
+00:20:16,370 --> 00:20:20,930
+الآن، الـ J هي عبارة عن... بقول أنا بمسك الـ
+
+229
+00:20:20,930 --> 00:20:25,400
+algorithm peculiar، بتمسك الأصل واحد واحد في كل سطر
+
+230
+00:20:25,400 --> 00:20:34,540
+تبحث عن عملية مسح لكل الأسطر التي بعده، J أي +
+
+231
+00:20:34,540 --> 00:20:39,580
+واحد في كل سطر، بتروح بتكرر العملية هذه، بتكررها
+
+232
+00:20:39,580 --> 00:20:45,480
+باستمرار، لكن بتبدأ من داخل الـ J، بتبدأ K يساوي واحد
+
+233
+00:20:45,480 --> 00:20:50,940
+to أن بتكون أنا واقف، إذا أنا واقف الآن على أي
+
+234
+00:20:50,940 --> 00:20:56,970
+ثلاثة، ببدأ K بثلاثة، ماشي، وبقى أكمل ليش؟ لأنه لما
+
+235
+00:20:56,970 --> 00:21:01,090
+أنا أكون واقف على ثلاثة، معناته... معناته كل اللي
+
+236
+00:21:01,090 --> 00:21:08,350
+...الذي قبل صفر، يبقى أنا ببدأ بصفر، للي بعده، okay
+
+237
+00:21:08,350 --> 00:21:12,910
+فعندي ثلاثة loops، اللي هو الـ I، و الـ J، و الـ K، الـ I
+
+238
+00:21:12,910 --> 00:21:17,710
+هذه الـ loop الأولاني، هذه سيبنا منها لأنها الـ loop
+
+239
+00:21:17,710 --> 00:21:22,470
+تبع عملية الـ augmentation، الدمج، الـ loops الثلاثة
+
+240
+00:21:22,470 --> 00:21:26,410
+هؤلاء هم الذين يحددون الـ complexity تبع الـ
+
+241
+00:21:26,410 --> 00:21:29,590
+algorithm، فإيش الـ complexity تبع الـ algorithm
+
+242
+00:21:29,590 --> 00:21:36,970
+الآن؟ n مكعب، صح؟ ليش؟ لأن في عندي ثلاثة loops
+
+243
+00:21:36,970 --> 00:21:42,110
+داخلية، هذا الـ loop الذي جوا زي ما شرحته أنا، بتبدأ
+
+244
+00:21:42,110 --> 00:21:48,180
+من عند I إلى N + 1، I في الأول بتبقى one، بعدين
+
+245
+00:21:48,180 --> 00:21:55,940
+يبقى الـ K تتناقص لما
+
+246
+00:21:55,940 --> 00:22:01,260
+تكون I واحد، نمشي كل السطر، I اثنين، نمشي من عند
+
+247
+00:22:01,260 --> 00:22:05,380
+اثنين إلى الآخر، من ثلاثة إلى الآخر، بعدين أربعة إلى الآخر، فهذه
+
+248
+00:22:05,380 --> 00:22:11,340
+الـ loop الداخلية تتناقص، okay، أما هذه الـ two loops
+
+249
+00:22:11,340 --> 00:22:15,860
+بيمشوا من عند، برضه كمان، الـ loop الـ J تتناقص
+
+250
+00:22:18,190 --> 00:22:27,410
+أيه بتتناقص؟ خلّيني أطلع على الـ... الـ complexity
+
+251
+00:22:27,410 --> 00:22:32,010
+تبعتها بس من... من الكتاب، اللوب الداخلي الذي هي
+
+252
+00:22:32,010 --> 00:22:37,550
+تبعت الـ K، الـ basic operations، احنا فيه هنا ثلاثة
+
+253
+00:22:37,550 --> 00:22:42,250
+basic operations، يعني هي assignment، بداخلها طرح
+
+254
+00:22:42,250 --> 00:22:45,990
+صح؟ بعدين إيش؟
+
+255
+00:23:11,230 --> 00:23:15,390
+طبعاً القسمة ربما هي التي تأخذ وقتاً أكثر من باقي
+
+256
+00:23:15,390 --> 00:23:22,650
+اللوب الداخلية، عدد مرات تكرارها N + 1 - الـ
+
+257
+00:23:22,650 --> 00:23:27,150
+I، هذا الكلام مضروب في الواحد، طبعاً مضروب في الواحد
+
+258
+00:23:27,150 --> 00:23:32,950
+فاحنا بس ايش،  للتبسيط، N + 1 - الـ I بس
+
+259
+00:23:32,950 --> 00:23:38,730
+قلنا احنا الـ N + 1 هي الـ upper limit، و الـ I
+
+260
+00:23:38,730 --> 00:23:43,110
+هي الـ lower limit، فاحنا لما بنطرح N + 1 -
+
+261
+00:23:43,110 --> 00:23:49,620
+I، بنكون استثنينا الـ I نفسها، عشان نجيبها ثاني بنحط
+
+262
+00:23:49,620 --> 00:23:57,500
+plus one، عشان يبقى الـ range هذا inclusive، ماشي، N
+
+263
+00:23:57,500 --> 00:24:02,560
+زائد واحد ناقص I زائد واحد، بيطلع عندي إيش؟ N زائد
+
+264
+00:24:02,560 --> 00:24:06,160
+واحد، N زائد اثنين ناقص I، حاجة شبه مربع تنفيذ
+
+265
+00:24:06,160 --> 00:24:10,820
+اللوب الداخلية، اللوب الذي بعدها بتمشي I + 1
+
+266
+00:24:10,820 --> 00:24:20,560
+إلى N، نفس القصة، قلنا N - I، هذا الكلام عدد
+
+267
+00:24:20,560 --> 00:24:23,780
+مرات تنفيذ اللوب الداخلي، اللوب الداخلي في حد ذاته
+
+268
+00:24:23,780 --> 00:24:28,340
+بتمشي هذا العدد من المرات، يبقى بدي أضرب هذا
+
+269
+00:24:28,340 --> 00:24:32,980
+المقدار في هذا، طبعاً برضه كمان بضيف plus one هنا
+
+270
+00:24:32,980 --> 00:24:39,780
+فصار عندي N الأولاني، N + 2 ناقص I، مضروب في من؟
+
+271
+00:24:40,310 --> 00:24:43,430
+في عدد مرات التنفيذ الداخلية، المهم كل هذا الكلام
+
+272
+00:24:43,430 --> 00:24:49,570
+في الآخر بيوصف ب... بهذا المقدار، لأن من شكله قبل ما
+
+273
+00:24:49,570 --> 00:24:53,530
+أعمل، من شكله، في عندي هنا N في N وبرضه هينضرب مرة
+
+274
+00:24:53,530 --> 00:25:01,270
+ثانية في كمان N، فهو N<sup>3</sup>، Big Theta ولا Big O؟ Big
+
+275
+00:25:01,270 --> 00:25:08,830
+Theta، لأن هذا مسح شامل، ما فيش علاقة بالقيم التي داخل
+
+276
+00:25:08,830 --> 00:25:12,350
+الـ matrix
+
+277
+00:25:12,350 --> 00:25:15,490
+وبالتالي ما فيش best case و worst case، طيب نرجع
+
+278
+00:25:15,490 --> 00:25:19,450
+ثاني، لأن مرة أخرى على الـ algorithm علشان فيها
+
+279
+00:25:19,450 --> 00:25:27,030
+إشكالية صغيرة، نشوف إيش هي وكيف نتعامل معها، الـ
+
+280
+00:25:27,030 --> 00:25:34,390
+algorithm هذه، قلنا بتطبق بس مفهوم الـ Gaussian
+
+281
+00:25:34,390 --> 00:25:43,970
+elimination، بمعنى أنها بتستبدل كل سطر بيحصل طرح
+
+282
+00:25:43,970 --> 00:25:48,730
+سطر آخر بعد ما نضرب سطر آخر بـ factor، والـ factor
+
+283
+00:25:48,730 --> 00:25:55,650
+هذا هو الـ pivot، يعني الرأس
+
+284
+00:25:55,650 --> 00:26:02,400
+السطر الحالي مع رأس السطر الذي فوق، طيب الآن هنا لما
+
+285
+00:26:02,400 --> 00:26:07,120
+يكون في عندي الـ factor هذا، الأربع على اثنين، عشان
+
+286
+00:26:07,120 --> 00:26:16,020
+احنا قلنا هو جاي من J<sub>i</sub> على I<sub>i</sub>، J<sub>i</sub> على I<sub>i</sub>، طيب لما
+
+287
+00:26:16,020 --> 00:26:21,140
+يكون هذا الـ value صفر، افترض أنه بعد ما نكون عملنا
+
+288
+00:26:21,140 --> 00:26:27,390
+شوية عمليات، اه اتصفر هذا، بدنا نقسم هذا على صفر، مش
+
+289
+00:26:27,390 --> 00:26:32,350
+هيظبط، صح؟ فال... هذا أول إشكالية، الإشكالية أنّه
+
+290
+00:26:32,350 --> 00:26:38,910
+بدنا نحترس من أن وجود صفر في الـ I<sub>i</sub>، فالمعالجة هذا
+
+291
+00:26:38,910 --> 00:26:47,330
+بأنّه احنا لما نبقى على I<sub>i</sub>، على الـ raw I، بنروح...
+
+292
+00:26:47,330 --> 00:26:51,870
+بنبحث إذا فيه صفر، إذا رأسه بصفر، I<sub>i</sub> صفر، بنروح
+
+293
+00:26:51,870 --> 00:26:56,910
+بنبحث عن أي equation أخرى أو أي سطر آخر تحت منه
+
+294
+00:26:56,910 --> 00:27:02,770
+ما فيه صفر، بل الأفضل أن نبحث عن الأكبر، الأكبر عشان
+
+295
+00:27:02,770 --> 00:27:07,950
+عملية القسمة، يبقى الـ value صغير لما أنا بقسم على
+
+296
+00:27:07,950 --> 00:27:12,610
+مقدار، كل ما كبر المقدار كل ما كان الـ value هذا أصغر
+
+297
+00:27:13,700 --> 00:27:18,000
+فبنبحث، الـ version الثانية من الـ algorithm قبل ما
+
+298
+00:27:18,000 --> 00:27:21,740
+تعمل العملية الـ K هذه وهي واقفة على الـ I في الأول
+
+299
+00:27:21,740 --> 00:27:28,760
+وبتبحث عن أي سطر يحتوي على قيمة أكبر من هذا، بغض
+
+300
+00:27:28,760 --> 00:27:32,060
+النظر هو هذا صفر ولا مش صفر، لأن مش مهم، بغض
+
+301
+00:27:32,060 --> 00:27:36,420
+النظر، بتروح بتجيب أي الـ row الذي يحتوي هنا على
+
+302
+00:27:36,420 --> 00:27:41,960
+قيمة أكبر، وبتستبدل الـ row هذا كله، بتعمل swap بينهم
+
+303
+00:27:42,730 --> 00:27:47,410
+ماشي، الحاجة بعدها هي كده، بيصير نقدر نعمل عملية الـ K
+
+304
+00:27:47,410 --> 00:27:51,750
+بنجيب الـ ratio، بيكون هذا الرقم، بيكون هذا الرقم صار
+
+305
+00:27:51,750 --> 00:27:58,470
+مش صفر، الحين بيصير نقدر نعمل الـ ratio بدون خوف
+
+306
+00:27:58,470 --> 00:28:02,010
+يعني، okay، فهذا الـ version الثاني من الـ algorithm
+
+307
+00:28:02,010 --> 00:28:07,190
+الذي هي هذه، نفس الشيء بس،  ما قلنا هي السطر هذا
+
+308
+00:28:07,190 --> 00:28:11,030
+الأولاني هذا، بتذكره لإيش؟ لـ appending أو الـ
+
+309
+00:28:11,030 --> 00:28:22,100
+augmenting،  الصفر، بعد هيك في عندي لغاية هنا، عملية
+
+310
+00:28:22,100 --> 00:28:27,780
+البحث عن
+
+311
+00:28:27,780 --> 00:28:34,700
+عمود الـ I، عن J رأسه
+
+312
+00:28:34,700 --> 00:28:38,790
+أكبر ما يمكن، يعني هذه عملية search عن الـ maximum
+
+313
+00:28:38,790 --> 00:28:44,010
+إذا بتذكروا الخوارزمية تبعت finding الـ maximum هذه
+
+314
+00:28:44,010 --> 00:28:47,830
+مثالها
+
+315
+00:28:47,830 --> 00:28:53,250
+على ذلك، كلمة pivot row، pivot row هي الـ maximum، نبدأ
+
+316
+00:28:53,250 --> 00:28:59,930
+pivot row بـ I، لما بنلاقي row آخر، الـ pivot تبعه أكبر
+
+317
+00:28:59,930 --> 00:29:07,120
+من الـ pivot تبع الـ I، بنروح بن... بنحط مؤشر عليه، لما
+
+318
+00:29:07,120 --> 00:29:12,320
+تخلص عملية الـ search، بيكون المؤشر على الـ raw الذي
+
+319
+00:29:12,320 --> 00:29:15,460
+الـ value بتبعه أكبر شيء، طبعاً هنا أكبر من ناحية الـ
+
+320
+00:29:15,460 --> 00:29:19,660
+absolute value، الـ absolute value، يعني ممكن يبقى
+
+321
+00:29:19,660 --> 00:29:22,740
+موجب، ممكن يبقى سالب، احنا بدنا أكبر من ناحية الـ
+
+322
+00:29:22,740 --> 00:29:25,920
+absolute value، فلما نلاقيه، بيكون لما نطلع من الـ
+
+323
+00:29:25,920 --> 00:29:31,100
+loop هذه، هذه الـ loop في حاجة مستقلة، ما فيش ارتباط
+
+324
+00:29:31,100 --> 00:29:34,500
+ما بينها وبين loops الأخرى، يعني هؤلاء مش متشعبات
+
+325
+00:29:34,500 --> 00:29:38,520
+منها، لما بنطلع من هذا الـ loop، بيكون pivot row يشير
+
+326
+00:29:38,520 --> 00:29:43,600
+إلى السطر الذي الرأس تبعه أكبر شيء في هذا العمود
+
+327
+00:29:43,600 --> 00:29:48,880
+فبناخذه، و إيش بنعمل؟ الـ loop الثانية بتعمل عملية
+
+328
+00:29:48,880 --> 00:29:53,300
+الاستبدال، okay
+
+329
+00:29:59,720 --> 00:30:05,800
+استبدال كل الـ raw I مع الـ raw الذي عليه مؤشر
+
+330
+00:30:05,800 --> 00:30:11,500
+الـ pivot raw، كل الـ I مع الـ raw الذي بجانبه يحتوي
+
+331
+00:30:11,500 --> 00:30:15,820
+على أكبر pivot، وبتصير الاستبدال هذه بس مجرد
+
+332
+00:30:15,820 --> 00:30:20,680
+swapping، لكل خلية مع المقابلة، بعد ذلك ترجع ثانية الـ
+
+333
+00:30:20,680 --> 00:30:25,580
+algorithm هي هي، نبدأ الآن نشتغل على السطر هذا
+
+334
+00:30:25,580 --> 00:30:28,060
+الذي عيناه، نقول مثلاً هذا هو
+
+335
+00:30:30,800 --> 00:30:38,360
+وبنضرب كل خلية هنا في الـ ratio، وبنجمع، صح؟ يعني هذا
+
+336
+00:30:38,360 --> 00:30:43,480
+الجزئية لا تختلف عن الـ algorithm الأولى، الاختلاف
+
+337
+00:30:43,480 --> 00:30:49,580
+أجا هنا أنّه أولاً بنبحث عن raw آخر يكون أفضل من الـ
+
+338
+00:30:49,580 --> 00:30:56,840
+I، ثم لما نلاقيه بنستبدل، وبعدين بنشتغل الشغل العادي
+
+339
+00:30:57,530 --> 00:31:01,050
+مش بالضبط نشتغل الشغل العادي زي ما كان، إيش فيه
+
+340
+00:31:01,050 --> 00:31:07,230
+اختلاف؟ اختلاف آخر، okay؟ وهذا هو النقطة الثانية،
+
+341
+00:31:07,230 --> 00:31:09,890
+نقطة الضعف الثانية في الـ algorithm الأولى، إيش
+
+342
+00:31:09,890 --> 00:31:13,290
+نقطة الضعف الأولى؟ أنّه ممكن هناك يصير في قسمة على
+
+343
+00:31:13,290 --> 00:31:17,450
+صفر، وعلى جانب الأمر هذا، بعملية البحث والاستبدال
+
+344
+00:31:17,450 --> 00:31:22,790
+هذه، نقطة الضعف الأخرى أنّه لو طلعت هنا هي الـ graph
+
+345
+00:31:22,790 --> 00:31:26,750
+من الأولى، عملية القسمة هذه بتتكرر بداخل الـ loop
+
+346
+00:31:26,750 --> 00:31:32,310
+هذه، عدد K من المرات، طيب هذه قسمة ثابتة، يعني هؤلاء
+
+347
+00:31:32,310 --> 00:31:36,430
+العنصرين ثابتات، ليش ما أنا أقسمهم مرة واحدة و
+
+348
+00:31:36,430 --> 00:31:40,590
+بعدين أستخدم قيمتهم، okay؟ فهذا الذي حصل هنا أنّه
+
+349
+00:31:40,590 --> 00:31:43,950
+بيروح بيعمل القسمة برة، وبحطها في temporary
+
+350
+00:31:43,950 --> 00:31:50,980
+variable، بعد ذلك، ووفر عملية القسمة، صار في عندي طرح
+
+351
+00:31:50,980 --> 00:31:55,340
+وضرب فقط بداخل اللوب الداخلي، هذا بيؤثرش على
+
+352
+00:31:55,340 --> 00:32:00,060
+التصنيف، الـ efficiency class، بس بيؤثر على الـ
+
+353
+00:32:00,060 --> 00:32:05,320
+execution time، execution time صار أقل، في الـ basic
+
+354
+00:32:05,320 --> 00:32:09,620
+operation تبعته أقل بعملية واحدة، إنما ضلتها in
+
+355
+00:32:09,620 --> 00:32:14,320
+cube ولا لأ؟ بيضلها in cube ولا لأ؟ هادئ، صح ولا لأ؟
+
+356
+00:32:14,320 --> 00:32:18,560
+لأن في عندي الـ loop الخارجية زي ما هي، ضاينة، صح؟ وفي
+
+357
+00:32:18,560 --> 00:32:21,920
+عندي الـ J، وفي عندي الـ K، ثلاثة loops موجودين، هذا
+
+358
+00:32:21,920 --> 00:32:25,550
+كان سؤال معنا في الامتحان، في واحد من الأسئلة التي
+
+359
+00:32:25,550 --> 00:32:29,850
+هو أظن السؤال الثالث أو شيء، اه لأ، مش الثالث، اه
+
+360
+00:32:29,850 --> 00:32:33,070
+كنا نسأل أنّه لما نعمل تغيير على الـ algorithm، هل
+
+361
+00:32:33,070 --> 00:32:37,910
+بيؤثر على الـ time، و هل بيؤثر على الـ class؟ فممكن
+
+362
+00:32:37,910 --> 00:32:40,190
+يؤثر على الـ time بس ما يؤثرش على الـ class، وهنا نفس
+
+363
+00:32:40,190 --> 00:32:43,470
+الحاجة، أثر على الـ time، أنّه خفض  العمليات الحسابية
+
+364
+00:32:43,470 --> 00:32:47,730
+ولكن ضلت الـ growth rate  بحث زي ما هو، بتنمو بنفس
+
+365
+00:32:47,730 --> 00:32:54,310
+المعدل، احنا الآن بنكون خلصنا جوهر الـ section هذا
+
+366
+00:32:55,440 --> 00:32:59,280
+كيف الـ Gaussian elimination بيمثل عملية
+
+367
+00:32:59,280 --> 00:33:03,180
+representation change للمسألة، بدل ما كانت بالصيغة
+
+368
+00:33:03,180 --> 00:33:07,540
+الأصلية، حولناها لصيغة أخرى، صار عندي الـ matrix
+
+369
+00:33:07,540 --> 00:33:11,340
+upper triangular، الـ upper triangular هذه بتنحل
+
+370
+00:33:11,340 --> 00:33:15,980
+بشكل مباشر، كيف نتحول من الـ matrix الأصلية
+
+371
+00:33:15,980 --> 00:33:20,060
+إلى upper triangular من خلال عمليات الطرح، التبديل
+
+372
+00:33:20,060 --> 00:33:23,660
+هذه، وهذا الذي يفعله الـ algorithm، الـ algorithm
+
+373
+00:33:23,660 --> 00:33:27,740
+بتعمل التبديل هذا عشان تحول، وبعد كده بيصير في الـ
+
+374
+00:33:27,740 --> 00:33:31,400
+backward substitution مباشرة، بحل الـ system وبيطلق
+
+375
+00:33:31,400 --> 00:33:38,440
+لقيم الـ variables، في، طبعاً الأداء هذا in O(n<sup>3</sup>)، الـ cubic
+
+376
+00:33:38,440 --> 00:33:44,300
+efficiency، هذه سيئة جداً، ففي حلول... بس احنا بندرس
+
+377
+00:33:44,300 --> 00:33:46,940
+الـ algorithm هذه بس كمثال عشان نفهم المفهوم الذي
+
+378
+00:33:46,940 --> 00:33:51,120
+هو representation change، بس في طبعاً للمسألة هذه
+
+379
+00:33:51,120 --> 00:33:55,020
+مسألة حل الـ systems، في حلول أفضل من هيك بكثير، زي
+
+380
+00:33:55,020 --> 00:34:00,360
+مثلاً الذي هو الـ LU decomposition، بنحول الـ matrix
+
+381
+00:34:00,360 --> 00:34:07,360
+الأصلية، sorry، بنحول الـ matrix الأصلية إلى two
+
+382
+00:34:07,360 --> 00:34:13,620
+matrices، بنحللها الـ two matrices، L و U، الـ L التي هي
+
+383
+00:34:13,620 --> 00:34:19,270
+الـ lower، بنطلع قيم وهنا zeros، والـ U التي هي الـ
+
+384
+00:34:19,270 --> 00:34:26,850
+upper، التي هي زي ما اتفقنا، فاحنا بنصل الـ U، الـ upper
+
+385
+00:34:26,850 --> 00:34:34,490
+من خلال عملية الـ decomposition هذه، الـ LU، بيكون الـ
+
+386
+00:34:34,490 --> 00:34:39,310
+efficiency أفضل بكثير، هذا الـ decomposition، الـ LU
+
+387
+00:34:39,310 --> 00:34:44,190
+decomposition، هتاخذوها كـ homework، تتطلعوا عليه، ماشي؟
+
+388
+00:34:44,190 --> 00:34:46,730
+والحصة والمحاضرة القادمة إن شاء الله بنكمل على
+
+389
+00:34:46,730 --> 00:34:48,930
+النوع الثالث من الـ transform and conquer
diff --git a/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yzzeuqQHuj8_postprocess.srt b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yzzeuqQHuj8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d96d23454e74df333c45d1bca0f1bfbf4fc7677a
--- /dev/null
+++ b/PL9fwy3NUQKwa6f1e0rrpmQUpME6Sm7ODv/yzzeuqQHuj8_postprocess.srt
@@ -0,0 +1,1556 @@
+1
+00:00:20,910 --> 00:00:23,710
+ماشي الحاجة بسم الله الرحمن الرحيم الصلاة والسلام
+
+2
+00:00:23,710 --> 00:00:27,670
+على أشرف المرسلين اليوم ان شاء الله بنكمل في
+
+3
+00:00:27,670 --> 00:00:31,070
+chapter ال transform and conquer كنا بدأنا
+
+4
+00:00:31,070 --> 00:00:35,190
+المحاضرة الماضية كانت المحاضرة الأولى و بدأنا أولا
+
+5
+00:00:35,190 --> 00:00:39,450
+عرفنا إيشأنواع ال transform and conquer كان فينا
+
+6
+00:00:39,450 --> 00:00:42,470
+تلات أنواع أساسية اللي هو ال instance
+
+7
+00:00:42,470 --> 00:00:45,730
+simplification و بعدين ال representation change و
+
+8
+00:00:45,730 --> 00:00:48,670
+بعدين ال problem reduction و كان في المحاضرة
+
+9
+00:00:48,670 --> 00:00:54,210
+السابقة غطينا ال instance simplification اشرحنا
+
+10
+00:00:54,210 --> 00:00:57,950
+اللي هو ال pre sorting على أنه شكل من أشكال ال
+
+11
+00:00:57,950 --> 00:01:01,910
+instance simplificationالمحاضرة هى ان شاء الله
+
+12
+00:01:01,910 --> 00:01:05,570
+بنتناول النوع التانى اللى هو representation change
+
+13
+00:01:05,570 --> 00:01:09,970
+والمثال
+
+14
+00:01:09,970 --> 00:01:13,050
+على ذلك اللى هو ال Gaussian elimination ال
+
+15
+00:01:13,050 --> 00:01:15,790
+Gaussian elimination ربما مر عليكم مفهوم ال
+
+16
+00:01:15,790 --> 00:01:19,630
+Gaussian elimination إما في ال linear algebra أو
+
+17
+00:01:19,630 --> 00:01:24,770
+في الرياضيات والحوسبةإذا حد أخدتها المادة هذه
+
+18
+00:01:24,770 --> 00:01:29,410
+فأكيد أخدته المفهوم هذا، المفهوم هذا ببساطة، أنا
+
+19
+00:01:29,410 --> 00:01:33,090
+هيا تنطلع على المثال هذا، المثال هذا إن إيش يعني،
+
+20
+00:01:33,090 --> 00:01:38,440
+إيش ال problem أصلا؟ أصلا ال problem بتكونفي عندي
+
+21
+00:01:38,440 --> 00:01:42,400
+system of equations system of linear equations
+
+22
+00:01:42,400 --> 00:01:45,500
+تمام ال system هذا يتكوّل من مجموعة من ال
+
+23
+00:01:45,500 --> 00:01:49,680
+equations عدد n من ال equations و أيضا كل equation
+
+24
+00:01:49,680 --> 00:01:53,160
+في n number of variables يعني بيبقى عندي تلاتة
+
+25
+00:01:53,160 --> 00:01:59,780
+equations و بيبقى عندي تلاتةX1 X2 X3 X4 X5 X6 X7
+
+26
+00:01:59,780 --> 00:02:03,320
+X8 X9 X10 X11 X12 X13 X12 X13 X13 X13 X13 X13 X13
+
+27
+00:02:03,320 --> 00:02:06,020
+X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13
+
+28
+00:02:06,020 --> 00:02:06,620
+X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13
+
+29
+00:02:06,620 --> 00:02:06,680
+X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13
+
+30
+00:02:06,680 --> 00:02:07,080
+X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13
+
+31
+00:02:07,080 --> 00:02:08,880
+X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13 X13
+
+32
+00:02:08,880 --> 00:02:17,860
+X13 X13 X13 X13 X13 X13 X13 X13
+
+33
+00:02:18,240 --> 00:02:20,680
+المطلوب ت solve ال system ايش يعني solve ال
+
+34
+00:02:20,680 --> 00:02:23,640
+system؟ solve ال system يعني اخطر القيام المتغيرات
+
+35
+00:02:23,640 --> 00:02:29,780
+هذول X1 X2 لجاية XN ايش القالية؟ ان قالية Gaussian
+
+36
+00:02:29,780 --> 00:02:37,000
+elimination Gaussian نسبة إلى Gauss أو جاوس فال
+
+37
+00:02:37,000 --> 00:02:40,300
+elimination هنا ايش معناته؟ eliminate ال variables
+
+38
+00:02:40,300 --> 00:02:44,880
+بشكل بحيث ان يبقى فيه عدي
+
+39
+00:02:48,020 --> 00:02:58,040
+الـ lower triangular zeros انت تخيلي أن هذا الـ
+
+40
+00:02:58,040 --> 00:03:03,160
+system عبّرنا عنه على شكل مصفوفة تحتوي على فقط ال
+
+41
+00:03:03,160 --> 00:03:07,520
+coefficients بسطنا العملية ال variables خلناها ..
+
+42
+00:03:07,520 --> 00:03:11,460
+شيلناها وأخدنا بس ال coefficients فعندي الأتنين
+
+43
+00:03:11,460 --> 00:03:15,850
+والنقص واحد والواحد هدولة ال coefficients صح؟هذا
+
+44
+00:03:15,850 --> 00:03:19,830
+سطر الأول هو الـ equation الأولى سطر التاني ال
+
+45
+00:03:19,830 --> 00:03:26,230
+equation التانية equation التالتة ماشي الحال بس ال
+
+46
+00:03:26,230 --> 00:03:30,010
+coefficients واخدنا معاهم كمان عمود إضافي يعني انت
+
+47
+00:03:30,010 --> 00:03:34,570
+زي اللحظة هنا هدولة أربعة n زائد واحد و هدولة
+
+48
+00:03:34,570 --> 00:03:39,150
+تلاتة n تمام؟
+
+49
+00:03:40,980 --> 00:03:44,200
+الرابع هذا العمود هو عمود mean ال right hand side
+
+50
+00:03:44,200 --> 00:03:49,280
+تبع ال equations مظبوط فدمجناهم ال right hand side
+
+51
+00:03:49,280 --> 00:03:53,780
+مع ال coefficients في المصفوفة الموحدة هذه okay
+
+52
+00:03:53,780 --> 00:03:57,580
+فلو أنا بطلع بس على الشق الخاص بال coefficients
+
+53
+00:03:57,580 --> 00:04:00,680
+تمام
+
+54
+00:04:00,680 --> 00:04:05,760
+هبص لها جيش ان في عندي في الصيغة هذه النهائية في
+
+55
+00:04:05,760 --> 00:04:09,890
+عندي المثلثاللي تحت هذا الـ Triangle الـ Lower
+
+56
+00:04:09,890 --> 00:04:12,670
+Triangle و هذا ال Upper Triangle الـ Lower
+
+57
+00:04:12,670 --> 00:04:17,990
+Triangle هو Zero لما أنا بأصل إلى الصيغة هذه بكون
+
+58
+00:04:17,990 --> 00:04:23,050
+خلاص انحلت المثل ليش؟ لأن هنا ال equation المقام
+
+59
+00:04:23,050 --> 00:04:29,090
+تلاتة اختزلت إلى عبارة عن اتنين X ايش هذا؟ هذا
+
+60
+00:04:29,090 --> 00:04:35,490
+العمود X تلاتة يساوي نقصت اتنين يبقى على طول X
+
+61
+00:04:35,490 --> 00:04:36,050
+تلاتة
+
+62
+00:04:44,290 --> 00:04:52,450
+بعد ذلك إذا عرفت X ثلاثة قيمتها سأعوض هذه الان
+
+63
+00:04:52,450 --> 00:04:58,170
+equation number two بجيب
+
+64
+00:04:58,170 --> 00:05:04,090
+X twoعرفت X2 و انا معايا X3 بعوض في equation
+
+65
+00:05:04,090 --> 00:05:08,970
+number one بجيب X1 هذا اسمه Backward Substitution
+
+66
+00:05:08,970 --> 00:05:11,890
+زي قصة الـ Backward Substitution اللي شوفناها أيام
+
+67
+00:05:11,890 --> 00:05:15,390
+ما كنا بنحكي عن ال Mathematical Analysis لل
+
+68
+00:05:15,390 --> 00:05:19,030
+Complexity تبعة الألغام Backward Substitution في
+
+69
+00:05:19,030 --> 00:05:23,430
+الأول بعمل Forward Elimination
+
+70
+00:05:23,430 --> 00:05:30,390
+Eliminate من ال variablesEliminate the variables
+
+71
+00:05:30,390 --> 00:05:36,090
+واحد ورا التاني لما أصل لآخر equation وعندي بس آخر
+
+72
+00:05:36,090 --> 00:05:41,270
+variable آخر variable في آخر equation ماشي الحال
+
+73
+00:05:41,270 --> 00:05:46,010
+فإما ال equation دي مصوفة بغض النظر عن حجمها فعندي
+
+74
+00:05:46,010 --> 00:05:51,290
+هي ال diagonal هذا ال upper triangular وهذا ال
+
+75
+00:05:51,290 --> 00:05:58,740
+left ما تحت ال diagonalالـ left triangle هذا لما
+
+76
+00:05:58,740 --> 00:06:05,180
+نقصل امه إلى zeros بكون انا .. بكون انا اخر
+
+77
+00:06:05,180 --> 00:06:09,920
+variable في اخر equation ان عرفت القيمة .. ان عرفت
+
+78
+00:06:09,920 --> 00:06:14,480
+القيمة تبعته انا بدأ اشمل مين اللي هو العمود تبع
+
+79
+00:06:14,480 --> 00:06:19,640
+ال .. العمود تبع ال right hand sideعرفت قيمته بعمل
+
+80
+00:06:19,640 --> 00:06:23,820
+الـ Backward Substitution فهذا الكلام اسمه
+
+81
+00:06:23,820 --> 00:06:27,680
+Gaussian Elimination وما هو اشي جديد اللي نقول هو
+
+82
+00:06:27,680 --> 00:06:31,020
+Algorithm مبتكرة انما هو واحد من الـ numerical
+
+83
+00:06:31,020 --> 00:06:37,100
+methods اللي بتستخدم في حل ال systems of linear
+
+84
+00:06:37,100 --> 00:06:43,530
+equations احنا الآن بناخد هذا كمثال على إيشعلى ال
+
+85
+00:06:43,530 --> 00:06:47,490
+representation change أنه كانت في الأصل ال problem
+
+86
+00:06:47,490 --> 00:06:54,870
+مُعطاعي لي على شكل هيك عبارة عن ال coefficients و
+
+87
+00:06:54,870 --> 00:06:56,970
+ال right hand side بدي أعمل change لل
+
+88
+00:06:56,970 --> 00:07:02,470
+representation بحيث نصير هيك و راجع تقاش بقدر
+
+89
+00:07:02,470 --> 00:07:09,080
+أحلها بال backward substitution مباشرةأحنا ال
+
+90
+00:07:09,080 --> 00:07:12,260
+method أصلا مش هي الجديدة بس بدنا نعبجر عنها ب
+
+91
+00:07:12,260 --> 00:07:16,380
+algorithm لان بدنا نعمل ال algorithm اللي .. أه بس
+
+92
+00:07:16,380 --> 00:07:20,660
+لسه ماحكيناش احنا كيف أصلا وصلنا لل .. لتصفير ال
+
+93
+00:07:20,660 --> 00:07:26,540
+lower triangle هذا ماحكيناش كيف حولنا هذه أو ممكن
+
+94
+00:07:26,540 --> 00:07:27,780
+تحويل هذه إلى هذه
+
+95
+00:07:31,080 --> 00:07:34,740
+بتذكروا ايش لما انتوا درستوا الموضوع هذا في أنها
+
+96
+00:07:34,740 --> 00:07:39,760
+عدة basic operations بتنعمل زي مثلا انه اجي على صف
+
+97
+00:07:39,760 --> 00:07:47,400
+من الصفوف و اروح ايش اجمعه مع صف أخر و أحط
+
+98
+00:07:47,400 --> 00:07:51,120
+المجموعة بداله يعني اجي اقول بدي استبدل equation
+
+99
+00:07:51,120 --> 00:07:55,070
+number two او row number twoأستبدله بإيش؟ بيحصل
+
+100
+00:07:55,070 --> 00:07:59,350
+جمعه مع اللي فوقه أو مع اللي تحته شو استفدت منها
+
+101
+00:07:59,350 --> 00:08:05,350
+العملية؟ إذا و الله حصل الجمع هذا بيصفرلي بيصفرلي
+
+102
+00:08:05,350 --> 00:08:09,090
+يعني إذا و الله هذا في عندي أربع و في عندي سالب
+
+103
+00:08:09,090 --> 00:08:14,290
+أربع ع جباله في واحد من الأسطر الأخرى و أحد جمعت و
+
+104
+00:08:14,290 --> 00:08:19,530
+حطيت المجموع لما أجمع بيصيب على السطر صح؟ هنا
+
+105
+00:08:20,490 --> 00:08:24,950
+ماسوناش هيك سونا هذا بس قبل ما نجمع و احنا ضربنا
+
+106
+00:08:24,950 --> 00:08:32,330
+اندي انا طالع كيف هنا بدنا نيجي ناخد رو 2 نحط
+
+107
+00:08:32,330 --> 00:08:40,650
+بداله ايش حاصل طرح رو 2 ناقص رو 1 بس قبل ما نضرب
+
+108
+00:08:40,650 --> 00:08:45,670
+رو 1 في ايش equation
+
+109
+00:08:45,670 --> 00:08:48,990
+2 بساوي equation 2
+
+110
+00:08:51,580 --> 00:08:55,300
+ناقص أربعة على اتنين equation one أنا بقول
+
+111
+00:08:55,300 --> 00:08:59,900
+equation يعني روه equation يعني روه لأ لأ okay
+
+112
+00:08:59,900 --> 00:09:03,980
+الأربعة على اتنين ما هي اتنين بس ليش هالفلسفة تبها
+
+113
+00:09:03,980 --> 00:09:07,120
+أربعة على اتنين الان بس كمان شوية هنشوف ايش السبب
+
+114
+00:09:07,120 --> 00:09:10,980
+ان احنا بنصيرها على شكل ratio ايش يعني أربعة على
+
+115
+00:09:10,980 --> 00:09:15,800
+اتنين يعني ايه equation رقم واحد اضربها في أربعة
+
+116
+00:09:15,800 --> 00:09:21,000
+على اتنين ايش بيصيرهي equation number one ضرب
+
+117
+00:09:21,000 --> 00:09:33,240
+أربعة على اتنين ايش بيساوي؟ أربعة ثم ثم ثم ثم
+
+118
+00:09:33,240 --> 00:09:38,840
+ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم ثم
+
+119
+00:09:38,840 --> 00:09:41,840
+ثم ثم ثم
+
+120
+00:09:43,810 --> 00:09:46,870
+طبعا انا لما اقول اجمع و لا اقول اطرح نفس الاشي
+
+121
+00:09:46,870 --> 00:09:50,450
+مانا يتجمع و الطرح هي عبارة عن جمع بس في السالب اه
+
+122
+00:09:50,450 --> 00:09:56,130
+لان هذا اللي اطلحه بعد ما ضربنا هذا الكلام لان
+
+123
+00:09:56,130 --> 00:10:00,130
+اطلحه من رو نمبر 2 و حطه ناتج بدل رو نمبر 2 ايش
+
+124
+00:10:00,130 --> 00:10:05,630
+الطرح؟ ايش رو نمبر 2؟ ايش بيطلع الناتج؟ هاي ال
+
+125
+00:10:05,630 --> 00:10:11,730
+zero هاي واحد ناقص اتنين واحد ناقص ناقص اتنينيعني
+
+126
+00:10:11,730 --> 00:10:15,550
+واحد زاد اتنين تلاتة ناقص واحد ناقص اتنين ناقص
+
+127
+00:10:15,550 --> 00:10:23,530
+تلاتة واحد تلاتة هذا الناتج حطنا بدأ رو نمبر اتنين
+
+128
+00:10:23,530 --> 00:10:27,210
+اصبح رو نمبر اتنين الجديد يساوي رو نمبر اتنين
+
+129
+00:10:27,210 --> 00:10:36,010
+الاصلي ناقص عملية الضرب هذه اللي هي ال ratio هذا
+
+130
+00:10:36,010 --> 00:10:41,010
+انضرب في رو نمبر واحدفاحنا عندنا هذه العملية هي
+
+131
+00:10:41,010 --> 00:10:44,930
+تبرض عامل أختها هنا و عامل أختها هنا في عندي ratio
+
+132
+00:10:44,930 --> 00:10:52,990
+مضروب في سطر و الناتج مطوح من سطر okay okay هنا
+
+133
+00:10:52,990 --> 00:10:59,170
+هنا هنا في عندي بدي أوريكوا إيش ال .. هذه عبارة عن
+
+134
+00:10:59,170 --> 00:11:02,190
+basic operations في عندي ال basic operations في
+
+135
+00:11:02,190 --> 00:11:06,630
+عندي هاي اللي هو exchanging مجرد أنهي استبدل two
+
+136
+00:11:06,630 --> 00:11:15,740
+rows هذهو إجازة إن أنا أشيل equation أضربها في شيء
+
+137
+00:11:15,740 --> 00:11:20,980
+يعني هنا أربعة على اتنين ضربنا في equation واحد لو
+
+138
+00:11:20,980 --> 00:11:24,500
+ببساطة هذا بمجرد عملية الضرب حاطناها محل equation
+
+139
+00:11:24,500 --> 00:11:27,760
+رم واحد هذا برضه basic operation إن أستبدل ال
+
+140
+00:11:27,760 --> 00:11:33,280
+equation بنفسها مضروبة في factor أو إن أستبدل ال
+
+141
+00:11:33,280 --> 00:11:39,730
+equation بنفسها مجموعة علىحصل ضرب ايش؟ equation
+
+142
+00:11:39,730 --> 00:11:44,570
+أخرى مضروبة في factor okay فهذه عموما اللي هو
+
+143
+00:11:44,570 --> 00:11:48,730
+الجملة من ال basic أو ال elementary operations
+
+144
+00:11:48,730 --> 00:11:52,190
+اللي ممكن تنعمل اللي احنا هنا استخدم في المثال هذا
+
+145
+00:11:52,190 --> 00:11:56,890
+هو عبارة عن تقريبا الأخيرة اللي هي ان استخدم ال
+
+146
+00:11:56,890 --> 00:12:02,930
+equation بيحصل جمعها او طرحها مع اللي هو equation
+
+147
+00:12:02,930 --> 00:12:08,890
+أخرى انضربت في factor صح؟هذا الكلام الان احنا ممكن
+
+148
+00:12:08,890 --> 00:12:16,130
+نعمله algorithm عملية الاستبدال هذه استبدال ال raw
+
+149
+00:12:16,130 --> 00:12:23,630
+ب raw أخر ال raw بحاصل جمعه مع raw أخر مضروف في ال
+
+150
+00:12:23,630 --> 00:12:29,630
+factor فاللي حيحصل أنه هي ال algorithm اللي حيحصل
+
+151
+00:12:29,630 --> 00:12:31,490
+أنه هحتاج إلى تلاتة loops
+
+152
+00:12:36,790 --> 00:12:45,190
+خلّي هذا شويه ممكن يقول لأ مانزلناش اللي
+
+153
+00:12:45,190 --> 00:12:53,410
+هيحصل ان احنا هنحتاج الى في عندنا loop بيبقى I و
+
+154
+00:12:53,410 --> 00:12:59,830
+في عندنا J و في عندنا K هنجي نجف على some equation
+
+155
+00:12:59,830 --> 00:13:03,510
+و نبحث تحتها عن equation أخرى
+
+156
+00:13:05,970 --> 00:13:11,890
+ممكن نعمل عليهم عملية الاستبدال ال equation الأخرى
+
+157
+00:13:11,890 --> 00:13:23,670
+هي الـ J هي اللي بدنا نصفر المقدمة تبعتها خلّيني
+
+158
+00:13:23,670 --> 00:13:29,130
+أخد على سبيل المثال جولي I بساوي 2 J بساوي 4 و K
+
+159
+00:13:29,130 --> 00:13:29,810
+بساوي 5
+
+160
+00:13:33,880 --> 00:13:37,220
+خلّي بالك، احنا عندنا ال algorithm هي ال .. ال ..
+
+161
+00:13:37,220 --> 00:13:41,760
+ال .. ال .. العمليات الأساسية تبعتها، هذه العملية،
+
+162
+00:13:41,760 --> 00:13:43,820
+إذا أنت بتتطلع على ال algorithm، هذه العملية إيش
+
+163
+00:13:43,820 --> 00:13:49,800
+بتسوي، مجرد عملية initializationاللي بتدمج الغرض
+
+164
+00:13:49,800 --> 00:13:54,620
+منها الدمج لأن هو ال input بيجيني على شكل جزءين
+
+165
+00:13:54,620 --> 00:13:58,340
+جزء اللي هو مصفوفة ال coefficients و جزء اللي هو
+
+166
+00:13:58,340 --> 00:14:01,140
+عمود او مصفوفة اللي هي ال right hand side values
+
+167
+00:14:01,140 --> 00:14:08,780
+هنا بس احنا بنعمل عملية الدمج okay بنعمل a بنضيف
+
+168
+00:14:08,780 --> 00:14:13,520
+بندمج فيها على العمود الأخير n plus one اللي هو
+
+169
+00:14:13,520 --> 00:14:16,340
+القيم تابعة ال right hand side values فهذا بس مجرد
+
+170
+00:14:16,340 --> 00:14:23,240
+augmentingدامج المصفف تاني الان ايش اللي بيحصل في
+
+171
+00:14:23,240 --> 00:14:27,040
+ال loop سادي اللي
+
+172
+00:14:27,040 --> 00:14:33,180
+بيحصل ان انا بكون واقف على some row رو number two
+
+173
+00:14:33,180 --> 00:14:40,540
+I بيساوي اتنين و J بيساوي اربع هاي واحد هاي اتنين
+
+174
+00:14:40,540 --> 00:14:47,940
+هاي تلاتة هاي اربعالعمود 1، العمود 2، العمود 3،
+
+175
+00:14:47,940 --> 00:14:50,980
+العمود 4، العمود 5، العمود 6، العمود 6، العمود 5،
+
+176
+00:14:50,980 --> 00:14:54,300
+العمود 6،
+
+177
+00:14:54,300 --> 00:14:54,340
+العمود 5، العمود 6، العمود 5، العمود 6، العمود 6،
+
+178
+00:14:54,340 --> 00:14:56,580
+العمود 6، العمود 6، العمود 6، العمود 6، العمود 6،
+
+179
+00:14:56,580 --> 00:15:00,420
+العمود 6، العمود 6، العمود 6، العمود 6، العمود 6،
+
+180
+00:15:00,420 --> 00:15:03,600
+العمود 6، العمود 6، العمود 6، العمود 6، العمود 6،
+
+181
+00:15:03,600 --> 00:15:08,920
+العمود 6، العمود 6، العمود 6، العمود 6، العمود 6،
+
+182
+00:15:08,920 --> 00:15:09,820
+العمود
+
+183
+00:15:14,810 --> 00:15:18,270
+الـ K Loop هذه بداخل الـ J Loop يعني بكون واقف على
+
+184
+00:15:18,270 --> 00:15:24,170
+السطر J السطر J عندي أربعة يعني السطر الرابع ببدأ
+
+185
+00:15:24,170 --> 00:15:31,530
+من أنهي عمود عمود
+
+186
+00:15:31,530 --> 00:15:36,570
+I عندي هنا I هي واحدة هي اتنين هي تلاتة هي اتنين
+
+187
+00:15:36,570 --> 00:15:45,100
+ببدأ من هذه ال N هي اتنين I بيساوي اتنينو ايش بسوي
+
+188
+00:15:45,100 --> 00:15:56,960
+للاخر ايش بعمل بستبدل كل خلية jk ايش j قداش اربعة
+
+189
+00:15:56,960 --> 00:16:05,660
+هاي واحد اتنين تلاتة اربعة هاي اربعة و k قداش خمسة
+
+190
+00:16:05,660 --> 00:16:09,360
+السطر
+
+191
+00:16:09,360 --> 00:16:13,750
+الرابع العمود الخامسالسطر الرابع واحد اتنين تلاتة
+
+192
+00:16:13,750 --> 00:16:19,630
+اربع خمسة انا قاعد القيام حاطيتها من هندي بس ك
+
+193
+00:16:19,630 --> 00:16:24,710
+example بس عشان الفكرة تظهر هي ال key الأولى بدأ
+
+194
+00:16:24,710 --> 00:16:32,870
+امشي من هنا للاخر صح؟ ايش هسوي؟ الخلية هذه
+
+195
+00:16:32,870 --> 00:16:37,410
+هستبدلها بنفسها نقص
+
+196
+00:16:39,320 --> 00:16:46,780
+I K نفس العمود نفس العمود خمسة بدي اخد من الخلية
+
+197
+00:16:46,780 --> 00:16:58,540
+الخلية اللي على سطر ايه سطر I سطر I اللي هو اتنين
+
+198
+00:16:58,540 --> 00:17:04,940
+اضربها في مين اضربها
+
+199
+00:17:04,940 --> 00:17:10,410
+في مينفي ال ratio ذكروا ال ratio اربعة على اتنين
+
+200
+00:17:10,410 --> 00:17:19,450
+ال ratio هذا جيه اربعة اربعة و ايه ايه ايه اربعة و
+
+201
+00:17:19,450 --> 00:17:24,450
+اتنين اربعة و اتنين اللي هي مين هاي اربعة هاي سطر
+
+202
+00:17:24,450 --> 00:17:30,090
+الرابع امد التاني هاي اربعة اتنين فاحنا بنضرب
+
+203
+00:17:30,090 --> 00:17:40,900
+بنضرب جيه ايه كممعاش ال ratio اللي هو عبارة عن جي
+
+204
+00:17:40,900 --> 00:17:52,980
+كي جي كي مقصومة على مين على I I هذا جي كي جي كي
+
+205
+00:17:52,980 --> 00:18:00,020
+على I I هو عبارة عن ال ratio مابين رأس ال equation
+
+206
+00:18:00,020 --> 00:18:09,800
+هذه اللي هي جي علىرأس ال equation I لما احنا كنا
+
+207
+00:18:09,800 --> 00:18:14,580
+بنقول اربع على اتنين كنا واقفين على هذا السطر بدنا
+
+208
+00:18:14,580 --> 00:18:21,280
+نستبدله بمين؟ بعملية بتتم بينه وبين السطر واحد
+
+209
+00:18:21,280 --> 00:18:25,740
+السطر اتنين مع السطر واحد ايش في العملية؟ العملية
+
+210
+00:18:25,740 --> 00:18:32,690
+هي ضرب كل عنصر في السطر رقم واحد بال ratio هذاالـ
+
+211
+00:18:32,690 --> 00:18:37,190
+Ratio هذا هو أبقى عن رأس السطر هذا أو الـ equation
+
+212
+00:18:37,190 --> 00:18:42,450
+هذه مع رأس السطر هذا الأربعة على اتنين ان ضربت
+
+213
+00:18:42,450 --> 00:18:50,430
+الأربعة على اتنين فاش في كل خلية من هنا والناتج
+
+214
+00:18:50,430 --> 00:18:56,630
+انطلح من يعني عامليا انا بجف هنا واحد واحد ما
+
+215
+00:18:56,630 --> 00:19:05,800
+قصهاش1 نقص هادي مضروبة في هذا ال ratio هذا ال
+
+216
+00:19:05,800 --> 00:19:11,740
+ratio هو 4 على 2 4 على 2 2 مضروبة في نقص 1 طلع نقص
+
+217
+00:19:11,740 --> 00:19:25,460
+2 نقص 1 نقص 2 طلع نقص 3 نفس الشيء هنا نقص 1 هادي
+
+218
+00:19:25,460 --> 00:19:34,000
+استبدلنا بهديمضروبة في اربعة و اتنين و طرحنا اتنين
+
+219
+00:19:34,000 --> 00:19:38,740
+و ناقص واحد ناقص اتنين طلع هذه ناقص ثلاثة فانا في
+
+220
+00:19:38,740 --> 00:19:43,660
+كل يعني هي نفس عملية الاستبدال ما هي الا ان انا
+
+221
+00:19:43,660 --> 00:19:48,260
+باخد كل خلية من هنا و بطرح منها هذا الخلية بعد ما
+
+222
+00:19:48,260 --> 00:19:50,960
+اضربها في ال ratio بعد ما اضرب الخلية في ال ratio
+
+223
+00:19:50,960 --> 00:19:55,460
+و بكرر فهذا هو عمليا مضمون السطر الأخير هذا اللي
+
+224
+00:19:55,460 --> 00:20:02,990
+في اللوب الداخليةمرة أخرى، كل خلية بطرح منها نفسها
+
+225
+00:20:02,990 --> 00:20:07,790
+.. أسف المقابلة إليها في I كل خلية في J بطرح منها
+
+226
+00:20:07,790 --> 00:20:12,210
+المقابلة إليها في I بعد ما أضربها في مين؟ في ال
+
+227
+00:20:12,210 --> 00:20:16,370
+ratio هذا تمام؟
+
+228
+00:20:16,370 --> 00:20:20,930
+الآن ال J هي عبارة عن .. بقول أنا بمسك ال
+
+229
+00:20:20,930 --> 00:20:25,400
+algorithm peculiar بتمسك الأصل واحد واحدفى كل سطر
+
+230
+00:20:25,400 --> 00:20:34,540
+تبحث عن عملية مسح لكل الأسطور اللى بعده جي اي بلس
+
+231
+00:20:34,540 --> 00:20:39,580
+واحد فى كل سطر بتروح بتكرر العملية هذه بتكررها
+
+232
+00:20:39,580 --> 00:20:45,480
+باستمرار لكن بتبدأ بداخل ال جي بتبدأ كيب سوى واحد
+
+233
+00:20:45,480 --> 00:20:50,940
+to ان بتكون انا واقف اذا انا واقف الآن على اي
+
+234
+00:20:50,940 --> 00:20:56,970
+تلاتة ببدأ كيب تلاتةماشي وبقى أكمل ليش؟ لأنه لما
+
+235
+00:20:56,970 --> 00:21:01,090
+انا أكون واقف علي تلاتة معناته .. معناته كل اللي
+
+236
+00:21:01,090 --> 00:21:08,350
+.. اللي قبل صفر يبقى أنا بدأ أصفر للي بعد okay
+
+237
+00:21:08,350 --> 00:21:12,910
+فعندي تلاتة loops اللي هو ال I و ال J و ال K ال I
+
+238
+00:21:12,910 --> 00:21:17,710
+هذه ال loop الأولاني هذه سيبنا منها لإنها ال loop
+
+239
+00:21:17,710 --> 00:21:22,470
+تبع عملية ال augmentation الدمجالـ loops التلاتة
+
+240
+00:21:22,470 --> 00:21:26,410
+هدولة هم اللي بيحددوا ال complexity تبع ال
+
+241
+00:21:26,410 --> 00:21:29,590
+algorithm فإيش ال complexity تبع ال algorithm
+
+242
+00:21:29,590 --> 00:21:36,970
+الآن؟ انت كعيب صح؟ ليش؟ لأن في عندي تلات loops
+
+243
+00:21:36,970 --> 00:21:42,110
+داخلية هذا ال loop اللي جوا زي ما توجهته أنا بتبدأ
+
+244
+00:21:42,110 --> 00:21:48,180
+من عند I ل N plus one I في الأول بتبقى oneبعدين
+
+245
+00:21:48,180 --> 00:21:55,940
+يبقى الـ K تتناقص لما
+
+246
+00:21:55,940 --> 00:22:01,260
+تكون I واحد نمشي كل السطر I اتنين نمشي من عند
+
+247
+00:22:01,260 --> 00:22:05,380
+اتنين للاخر من تلاتة للاخر بعدين اربع للاخر فهذه
+
+248
+00:22:05,380 --> 00:22:11,340
+ال loop داخلية تتناقص okay اما هذه ال two loops
+
+249
+00:22:11,340 --> 00:22:15,860
+بيمشوا من عند برضه كمان ال loop ال J تتناقص
+
+250
+00:22:18,190 --> 00:22:27,410
+أيه بتتناقص؟ خلّيني أطلع على ال .. ال complexity
+
+251
+00:22:27,410 --> 00:22:32,010
+تبعتها بس من .. من الكتاب اللوب الداخلي اللي هي
+
+252
+00:22:32,010 --> 00:22:37,550
+تبعت ال K ال basic operations احنا فيه هنا تلاتة
+
+253
+00:22:37,550 --> 00:22:42,250
+basic operations يعني هي assignment بداخلها طرح
+
+254
+00:22:42,250 --> 00:22:45,990
+صح؟ بعدين إيش؟
+
+255
+00:23:11,230 --> 00:23:15,390
+طبعا القسمة ربما هي اللي بتاخد وجهة اكتر من الدرب
+
+256
+00:23:15,390 --> 00:23:22,650
+اللوم الداخليةعلب مرات تكرارها N زائد واحد ناقص ال
+
+257
+00:23:22,650 --> 00:23:27,150
+I هذا الكلام مضروب في الواحد طبعا مضروب في الواحد
+
+258
+00:23:27,150 --> 00:23:32,950
+فاحنا بس ايش لبس تبسيط N زائد واحد ناقص ال I بس
+
+259
+00:23:32,950 --> 00:23:38,730
+قلنا احنا ال N زائد واحد هي ال upper limit و ال I
+
+260
+00:23:38,730 --> 00:23:43,110
+هي ال lower limit فاحنا لما بنطرح N زائد واحد ناقص
+
+261
+00:23:43,110 --> 00:23:49,620
+Iبنكون استثناء الـ I نفسها عشان نجيبها تاني بنحط
+
+262
+00:23:49,620 --> 00:23:57,500
+plus one عشان يبقى ال range هدا inclusive ماشي N
+
+263
+00:23:57,500 --> 00:24:02,560
+زائد واحد نقص I زائد واحد هبطلع عندي إيش N زائد
+
+264
+00:24:02,560 --> 00:24:06,160
+واحد N زائد اتنين نقص I حاجة عامرة مربع تنفيذ
+
+265
+00:24:06,160 --> 00:24:10,820
+اللوب الداخلية اللوب اللي بعدها بتمشي I زائد واحد
+
+266
+00:24:10,820 --> 00:24:20,560
+ل N نفس القمر قولي A Nنقص I زي 1 هذا الكلام عدد
+
+267
+00:24:20,560 --> 00:24:23,780
+مرات تنفيذ اللوب الداخلي اللوب الداخلي في حد ذاتها
+
+268
+00:24:23,780 --> 00:24:28,340
+بتمشي هذا العدد من المرات يبقى بدي انضرب هذا
+
+269
+00:24:28,340 --> 00:24:32,980
+المقدار في هذا طبعا برضه كمان بضيف plus one هنا
+
+270
+00:24:32,980 --> 00:24:39,780
+فصار عندي N الأولاني N plus 2 نقص I مضروم في مين؟
+
+271
+00:24:40,310 --> 00:24:43,430
+في عدد مرات التنفيذ الداخلية المهم كل هذا الكلام
+
+272
+00:24:43,430 --> 00:24:49,570
+في الآخر سيصف ب .. بهذا المقدار لأن من شكله قبل ما
+
+273
+00:24:49,570 --> 00:24:53,530
+أعمل من شكله في عندي هنا N في N ومرضه هينضرب مرة
+
+274
+00:24:53,530 --> 00:25:01,270
+تانية في كمان N فهو N3 Big Theta ولا Big O؟ Big
+
+275
+00:25:01,270 --> 00:25:08,830
+Theta لأن هذا مسح شامل مافيش علاقة بالقيماللي داخل
+
+276
+00:25:08,830 --> 00:25:12,350
+ال matrix
+
+277
+00:25:12,350 --> 00:25:15,490
+وبالتالي ماقله best case و worst case طيب نرجع
+
+278
+00:25:15,490 --> 00:25:19,450
+تاني لان مرة أخرى على ال algorithm علشان فيها
+
+279
+00:25:19,450 --> 00:25:27,030
+إشكالية صغيرة نشوف إيش هي و كيف نتعامل معاها ال
+
+280
+00:25:27,030 --> 00:25:34,390
+algorithm هذه قلنابتطبق بس مفهوم الـ Gaussian
+
+281
+00:25:34,390 --> 00:25:43,970
+elimination بمعنى أنها بتستبدل كل سطر بيحاصل طرح
+
+282
+00:25:43,970 --> 00:25:48,730
+سطر آخر بعد ما نضرب سطر آخر بـ factor وال factor
+
+283
+00:25:48,730 --> 00:25:55,650
+هذا هو ال pivot يعني الرأس
+
+284
+00:25:55,650 --> 00:26:02,400
+السطر الحالي مع رأس السطراللي فوق طيب الان هنا لما
+
+285
+00:26:02,400 --> 00:26:07,120
+يكون في عندي ال factor هذا الاربع على اتنين عشان
+
+286
+00:26:07,120 --> 00:26:16,020
+احنا قولنا هو جاي من ji على ii ji على ii طيب لما
+
+287
+00:26:16,020 --> 00:26:21,140
+يكون هذا ال value zero افترض انه بعد ما نكون عملنا
+
+288
+00:26:21,140 --> 00:26:27,390
+شوية عملياتأه اتصفر هذا بدينا نقسم هذا على zero مش
+
+289
+00:26:27,390 --> 00:26:32,350
+هيظبط صح فال .. هذا أول إشكالية الإشكالية أن هو
+
+290
+00:26:32,350 --> 00:26:38,910
+بدنا نحترس من أن وجود zero في ال I I فالمعالجة هذا
+
+291
+00:26:38,910 --> 00:26:47,330
+بأنه احنا لما نبقى على I I على ال raw Iبنروح ..
+
+292
+00:26:47,330 --> 00:26:51,870
+بنبحث إذا فيه Zero إذا رأسه ب Zero I I Zero بنروح
+
+293
+00:26:51,870 --> 00:26:56,910
+بنبحث على أي equation أخرى أو أي سطر آخر تحت منه
+
+294
+00:26:56,910 --> 00:27:02,770
+مافيش Zero بل أفضل أن نبحث عن الأكبر الأكبر عشان
+
+295
+00:27:02,770 --> 00:27:07,950
+عملية القسمة يبقى value صغير لما أنا بقسم على
+
+296
+00:27:07,950 --> 00:27:12,610
+مقدار كل ما كبر المقدار كل ما كان value هذا أصغر
+
+297
+00:27:13,700 --> 00:27:18,000
+فبنبحث ال version التانية من ال algorithm قبل ما
+
+298
+00:27:18,000 --> 00:27:21,740
+تعمل العملية ال K هذه وهي واقفة على ال I في الأول
+
+299
+00:27:21,740 --> 00:27:28,760
+وبتبحث على أي سطر يحتوي على قيمة أكبر من هذا بغض
+
+300
+00:27:28,760 --> 00:27:32,060
+النظر هو هذا Zero و لا مش Zero لان مش مفرجة بغض
+
+301
+00:27:32,060 --> 00:27:36,420
+النظر بتروح بتجيب أي ال row اللي يحتوي هنا على
+
+302
+00:27:36,420 --> 00:27:41,960
+قيمة أكبر وبتستبدل ال row هذا كله بتعمل swap بينهم
+
+303
+00:27:42,730 --> 00:27:47,410
+ماشي الحاجة بعد هي كده بيصير نقدر نعمل عملية ال K
+
+304
+00:27:47,410 --> 00:27:51,750
+بنجيب ال ratio بيكون هذا الرقم بيكون هذا الرقم صار
+
+305
+00:27:51,750 --> 00:27:58,470
+مش Zero هالحين بيصير نقدر نعمل ال ratio بدون خوف
+
+306
+00:27:58,470 --> 00:28:02,010
+يعني okay فهذا ال version التاني من ال algorithm
+
+307
+00:28:02,010 --> 00:28:07,190
+اللي هي هذه نفس الشيء بس الله ماقلها هي السطر هذا
+
+308
+00:28:07,190 --> 00:28:11,030
+الأولاني هذا بتذكره لإيش ل ال appending أو ال
+
+309
+00:28:11,030 --> 00:28:22,100
+augmentingالصبر بعد هيك في أندي لغاية هنا عملية
+
+310
+00:28:22,100 --> 00:28:27,780
+البحث عن في
+
+311
+00:28:27,780 --> 00:28:34,700
+عمود ال I عن J راسها
+
+312
+00:28:34,700 --> 00:28:38,790
+أكبر ما يمكنيعني هذا عملية search عن ال maximum
+
+313
+00:28:38,790 --> 00:28:44,010
+إذا بتذكروا الخورزمية تبعت finding ال maximum هذه
+
+314
+00:28:44,010 --> 00:28:47,830
+مثالة
+
+315
+00:28:47,830 --> 00:28:53,250
+على ذلك كلمة pivot row pivot رو هي ال maximum نبدأ
+
+316
+00:28:53,250 --> 00:28:59,930
+pivot row ب I لما بنلاقي رو أخر ال pivot تبعه أكبر
+
+317
+00:28:59,930 --> 00:29:07,120
+من ال pivot تبع ال I بنروح بن .. بنحط مؤشر عليهلما
+
+318
+00:29:07,120 --> 00:29:12,320
+تخلص عملية الـ search بيكون المؤشر على ال raw اللي
+
+319
+00:29:12,320 --> 00:29:15,460
+ال proof بتبقى أكبر اشي طبعا هنا أكبر من ناحية ال
+
+320
+00:29:15,460 --> 00:29:19,660
+absolute value ال absolute value يعني ممكن يبقى
+
+321
+00:29:19,660 --> 00:29:22,740
+موجب ممكن يبقى سالب احنا بدنا أكبر من ناحية ال
+
+322
+00:29:22,740 --> 00:29:25,920
+absolute value فلما نلاقيه بيكون لما نطلع من ال
+
+323
+00:29:25,920 --> 00:29:31,100
+loop هذه هذه ال loop في حاجة مستقلة مافيش ارتباط
+
+324
+00:29:31,100 --> 00:29:34,500
+ما بينها و بين loops الأخر يعني هدولة مش متشعبات
+
+325
+00:29:34,500 --> 00:29:38,520
+منهالما بنطلع من هذا ال loop بيكون pivot rond يشير
+
+326
+00:29:38,520 --> 00:29:43,600
+إلى السطر اللي الرأس تبعه أكبر إشي في هذا العمود
+
+327
+00:29:43,600 --> 00:29:48,880
+فبناخده واش بنسوي ال loop التانية بتعمل عملية
+
+328
+00:29:48,880 --> 00:29:53,300
+الاستبدال okay
+
+329
+00:29:59,720 --> 00:30:05,800
+استبدال كل الـRaw I مع الـRaw اللي عليه مؤشر
+
+330
+00:30:05,800 --> 00:30:11,500
+الـPivot Raw كل الـI مع الـRaw اللي لاجناه يحتوي
+
+331
+00:30:11,500 --> 00:30:15,820
+على أكبر Pivot وبتصير الاستبدال هذه بس مجرد
+
+332
+00:30:15,820 --> 00:30:20,680
+Swapping لكل خلية مع المقابلة بعد ذلك ترجع تاني
+
+333
+00:30:20,680 --> 00:30:25,580
+الـAlgorithm هي هي نبدأ الآن نشتغل على السطر هذا
+
+334
+00:30:25,580 --> 00:30:28,060
+اللي عينناه نقول مثلا هذا هو
+
+335
+00:30:30,800 --> 00:30:38,360
+وبنضرب كل خلية هنا في ال ratio وبنجمع صح؟ يعني هذا
+
+336
+00:30:38,360 --> 00:30:43,480
+الجزئية لا تختلف عن ال algorithm الأولى الاختلاف
+
+337
+00:30:43,480 --> 00:30:49,580
+أجا هنا أنه أولا بنبحث عن raw آخر يكون أفضل من ال
+
+338
+00:30:49,580 --> 00:30:56,840
+I ثم لما نلاقيه بنستبدل وبعدين بنشتغل الشغل العادي
+
+339
+00:30:57,530 --> 00:31:01,050
+مش بالظبط نشتغل الشغل عادي زي ما كان، إيش فيه
+
+340
+00:31:01,050 --> 00:31:07,230
+اختلاف؟ اختلاف آخر، okay؟ وهذا هو النقطة التانية،
+
+341
+00:31:07,230 --> 00:31:09,890
+نقطة الضعف التانية في الـ Algorithm الأولى، إيش
+
+342
+00:31:09,890 --> 00:31:13,290
+نقطة الضعف الأولى؟ إنه ممكن هناك يصير في قسم على
+
+343
+00:31:13,290 --> 00:31:17,450
+Zero، وعلى جانب الأمر هذا بعملية البحث والاستبدال
+
+344
+00:31:17,450 --> 00:31:22,790
+هذهالنقطة الضعف الأخرى أنه لو طلعت هنا هي ال graph
+
+345
+00:31:22,790 --> 00:31:26,750
+من الأولى عملية القسمة هذه بتتكرر بداخل ال loop
+
+346
+00:31:26,750 --> 00:31:32,310
+هذه عدد K من المرات طيب هذه قسمة ثابتة يعني هدول
+
+347
+00:31:32,310 --> 00:31:36,430
+العنصرين ثابتات ليش ما أنا أقسمهم مرة واحدة و
+
+348
+00:31:36,430 --> 00:31:40,590
+بعدين أستخدم قيمتهم okay فهذا اللي حصل هنا أنه
+
+349
+00:31:40,590 --> 00:31:43,950
+بيروح بيعمل القسمة برا و بحطها في temporary
+
+350
+00:31:43,950 --> 00:31:50,980
+variable بعد ذلكووفر عملية القسمة صار في عندي طرح
+
+351
+00:31:50,980 --> 00:31:55,340
+و اتضرب فقط بداخل اللوب الداخلي هذا بيأثرش على
+
+352
+00:31:55,340 --> 00:32:00,060
+التصنيف ال efficiency class بس بيأثر على ال
+
+353
+00:32:00,060 --> 00:32:05,320
+execution time execution time صار أقلفي ال basic
+
+354
+00:32:05,320 --> 00:32:09,620
+operation تبعته أقل بعملية واحدة انما ضلتها in
+
+355
+00:32:09,620 --> 00:32:14,320
+cube ولا لأ بيضلها in cube ولا لأ هادئ صح ولا لأ
+
+356
+00:32:14,320 --> 00:32:18,560
+لأن في عندي ال loop الخارجية زي ما هي ضاينة صح وفي
+
+357
+00:32:18,560 --> 00:32:21,920
+عندي ال J وفي عندي ال K تلاتة loops موجودين هذا
+
+358
+00:32:21,920 --> 00:32:25,550
+كان سؤال معانا في الامتحان في واحد من الأسئلةاللي
+
+359
+00:32:25,550 --> 00:32:29,850
+هو اظن السؤال التلاسة أواشي اه لأ مش التلاسة اه
+
+360
+00:32:29,850 --> 00:32:33,070
+كنا نسأل انه لما نعمل تغيير على ال algorithm هل
+
+361
+00:32:33,070 --> 00:32:37,910
+بيأثر على ال time و هل بيأثر على ال class فممكن
+
+362
+00:32:37,910 --> 00:32:40,190
+يأثر على ال time بس مايأثرش على ال class وهنا نفس
+
+363
+00:32:40,190 --> 00:32:43,470
+الحاجة أثر على ال time انه خفض لعملية الحسابية
+
+364
+00:32:43,470 --> 00:32:47,730
+ولكن دلتها ال growth rate بحث زي ما هو بتنمو بنفس
+
+365
+00:32:47,730 --> 00:32:54,310
+المعدل احنا الآن بنكون خلصنا جوهر ال section هذا
+
+366
+00:32:55,440 --> 00:32:59,280
+كيف الـ Gaussian elimination بيمثل عملية
+
+367
+00:32:59,280 --> 00:33:03,180
+representation change للمسألة بدل ما كانت بالصيغة
+
+368
+00:33:03,180 --> 00:33:07,540
+الأصلية حولناها لصيغة أخرى صار عندي ال matrix
+
+369
+00:33:07,540 --> 00:33:11,340
+upper triangular ال upper triangular هذه بتنحل
+
+370
+00:33:11,340 --> 00:33:15,980
+بشكل مباشر كيف انحول من الاصلية ال matrix الأصلية
+
+371
+00:33:15,980 --> 00:33:20,060
+إلى upper triangular من خلال عمليات الاشهر التبديل
+
+372
+00:33:20,060 --> 00:33:23,660
+هذهوهذا اللي بيسويه ال algorithm ال algorithm
+
+373
+00:33:23,660 --> 00:33:27,740
+بتعمل التبديل هدا عشان تحول و بعد كده بيصير في ال
+
+374
+00:33:27,740 --> 00:33:31,400
+backward substitution مباشرة بحل ال system و بيطلق
+
+375
+00:33:31,400 --> 00:33:38,440
+لقيم ال variables في طبعا الأداء هدا in Q ال cubic
+
+376
+00:33:38,440 --> 00:33:44,300
+efficiency هذه سيئة جدا ففي حلول .. بس احنا بندرس
+
+377
+00:33:44,300 --> 00:33:46,940
+ال algorithm هذه بس كمثال عشان نفهم المفهوم اللي
+
+378
+00:33:46,940 --> 00:33:51,120
+هو representation changeبس في طبعا المسألة هذه
+
+379
+00:33:51,120 --> 00:33:55,020
+مسألة حل ال systems فى لحلول أفضل من هيك بكتير زى
+
+380
+00:33:55,020 --> 00:34:00,360
+مثلا اللى هو ال L U decomposition بنحول ال matrix
+
+381
+00:34:00,360 --> 00:34:07,360
+الأصلية sorry بنحول ال matrix الأصلية إلى two
+
+382
+00:34:07,360 --> 00:34:13,620
+matrix بنحللها ال two matrices L و U ال L اللى هى
+
+383
+00:34:13,620 --> 00:34:19,270
+ال lowerبنطلع قيم وهنا zeros و ال U اللي هي ال
+
+384
+00:34:19,270 --> 00:34:26,850
+upper اللي هي زي ما اتوي فاحنا بنصل ال U ال upper
+
+385
+00:34:26,850 --> 00:34:34,490
+من خلال عملية ال decomposition هذه ال L U بيكون ال
+
+386
+00:34:34,490 --> 00:34:39,310
+efficiency أفضل بكتير هذا ال decomposition ال L U
+
+387
+00:34:39,310 --> 00:34:44,190
+decomposition هتركويا ك homework تتطلع عليهماشي
+
+388
+00:34:44,190 --> 00:34:46,730
+الحياة والمحاضرة اللي جاي ان شاء الله بنكمل على
+
+389
+00:34:46,730 --> 00:34:48,930
+النوع التالت من ال transform and conquer
+