input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
|---|---|---|
1786026
|
2 3 11 27061
|
[
"1786026 2 893013",
"893013 3 297671",
"297671 11 27061",
"27061 27061 1"
] |
281433
|
3 93811
|
[
"281433 3 93811",
"93811 93811 1"
] |
1270782
|
2 3 3 3 101 233
|
[
"1270782 2 635391",
"635391 3 211797",
"211797 3 70599",
"70599 3 23533",
"23533 101 233",
"233 233 1"
] |
1698449
|
1698449
|
[
"1698449 1698449 1"
] |
4005148
|
2 2 7 313 457
|
[
"4005148 2 2002574",
"2002574 2 1001287",
"1001287 7 143041",
"143041 313 457",
"457 457 1"
] |
3085040
|
2 2 2 2 5 7 7 787
|
[
"3085040 2 1542520",
"1542520 2 771260",
"771260 2 385630",
"385630 2 192815",
"192815 5 38563",
"38563 7 5509",
"5509 7 787",
"787 787 1"
] |
4763770
|
2 5 11 11 31 127
|
[
"4763770 2 2381885",
"2381885 5 476377",
"476377 11 43307",
"43307 11 3937",
"3937 31 127",
"127 127 1"
] |
3938377
|
19 53 3911
|
[
"3938377 19 207283",
"207283 53 3911",
"3911 3911 1"
] |
4002341
|
7 71 8053
|
[
"4002341 7 571763",
"571763 71 8053",
"8053 8053 1"
] |
710368
|
2 2 2 2 2 79 281
|
[
"710368 2 355184",
"355184 2 177592",
"177592 2 88796",
"88796 2 44398",
"44398 2 22199",
"22199 79 281",
"281 281 1"
] |
2729631
|
3 909877
|
[
"2729631 3 909877",
"909877 909877 1"
] |
4540307
|
37 277 443
|
[
"4540307 37 122711",
"122711 277 443",
"443 443 1"
] |
2045740
|
2 2 5 233 439
|
[
"2045740 2 1022870",
"1022870 2 511435",
"511435 5 102287",
"102287 233 439",
"439 439 1"
] |
3606898
|
2 1803449
|
[
"3606898 2 1803449",
"1803449 1803449 1"
] |
2348481
|
3 541 1447
|
[
"2348481 3 782827",
"782827 541 1447",
"1447 1447 1"
] |
3208644
|
2 2 3 3 19 4691
|
[
"3208644 2 1604322",
"1604322 2 802161",
"802161 3 267387",
"267387 3 89129",
"89129 19 4691",
"4691 4691 1"
] |
4356241
|
1709 2549
|
[
"4356241 1709 2549",
"2549 2549 1"
] |
1080565
|
5 216113
|
[
"1080565 5 216113",
"216113 216113 1"
] |
2544569
|
71 35839
|
[
"2544569 71 35839",
"35839 35839 1"
] |
3740506
|
2 7 11 107 227
|
[
"3740506 2 1870253",
"1870253 7 267179",
"267179 11 24289",
"24289 107 227",
"227 227 1"
] |
1810542
|
2 3 373 809
|
[
"1810542 2 905271",
"905271 3 301757",
"301757 373 809",
"809 809 1"
] |
3648879
|
3 3 13 13 2399
|
[
"3648879 3 1216293",
"1216293 3 405431",
"405431 13 31187",
"31187 13 2399",
"2399 2399 1"
] |
4224747
|
3 599 2351
|
[
"4224747 3 1408249",
"1408249 599 2351",
"2351 2351 1"
] |
1446418
|
2 723209
|
[
"1446418 2 723209",
"723209 723209 1"
] |
4408149
|
3 379 3877
|
[
"4408149 3 1469383",
"1469383 379 3877",
"3877 3877 1"
] |
1970833
|
107 113 163
|
[
"1970833 107 18419",
"18419 113 163",
"163 163 1"
] |
4665481
|
23 71 2857
|
[
"4665481 23 202847",
"202847 71 2857",
"2857 2857 1"
] |
2597468
|
2 2 131 4957
|
[
"2597468 2 1298734",
"1298734 2 649367",
"649367 131 4957",
"4957 4957 1"
] |
342838
|
2 23 29 257
|
[
"342838 2 171419",
"171419 23 7453",
"7453 29 257",
"257 257 1"
] |
533217
|
3 177739
|
[
"533217 3 177739",
"177739 177739 1"
] |
3469874
|
2 1734937
|
[
"3469874 2 1734937",
"1734937 1734937 1"
] |
1358243
|
487 2789
|
[
"1358243 487 2789",
"2789 2789 1"
] |
1836448
|
2 2 2 2 2 57389
|
[
"1836448 2 918224",
"918224 2 459112",
"459112 2 229556",
"229556 2 114778",
"114778 2 57389",
"57389 57389 1"
] |
1490900
|
2 2 5 5 17 877
|
[
"1490900 2 745450",
"745450 2 372725",
"372725 5 74545",
"74545 5 14909",
"14909 17 877",
"877 877 1"
] |
836902
|
2 11 109 349
|
[
"836902 2 418451",
"418451 11 38041",
"38041 109 349",
"349 349 1"
] |
3674133
|
3 3 3 41 3319
|
[
"3674133 3 1224711",
"1224711 3 408237",
"408237 3 136079",
"136079 41 3319",
"3319 3319 1"
] |
247536
|
2 2 2 2 3 3 3 3 191
|
[
"247536 2 123768",
"123768 2 61884",
"61884 2 30942",
"30942 2 15471",
"15471 3 5157",
"5157 3 1719",
"1719 3 573",
"573 3 191",
"191 191 1"
] |
4139924
|
2 2 29 89 401
|
[
"4139924 2 2069962",
"2069962 2 1034981",
"1034981 29 35689",
"35689 89 401",
"401 401 1"
] |
1343569
|
1343569
|
[
"1343569 1343569 1"
] |
854614
|
2 427307
|
[
"854614 2 427307",
"427307 427307 1"
] |
774824
|
2 2 2 23 4211
|
[
"774824 2 387412",
"387412 2 193706",
"193706 2 96853",
"96853 23 4211",
"4211 4211 1"
] |
2220823
|
11 201893
|
[
"2220823 11 201893",
"201893 201893 1"
] |
4611692
|
2 2 17 67819
|
[
"4611692 2 2305846",
"2305846 2 1152923",
"1152923 17 67819",
"67819 67819 1"
] |
4003504
|
2 2 2 2 59 4241
|
[
"4003504 2 2001752",
"2001752 2 1000876",
"1000876 2 500438",
"500438 2 250219",
"250219 59 4241",
"4241 4241 1"
] |
1486287
|
3 3 11 15013
|
[
"1486287 3 495429",
"495429 3 165143",
"165143 11 15013",
"15013 15013 1"
] |
172542
|
2 3 149 193
|
[
"172542 2 86271",
"86271 3 28757",
"28757 149 193",
"193 193 1"
] |
2063058
|
2 3 19 18097
|
[
"2063058 2 1031529",
"1031529 3 343843",
"343843 19 18097",
"18097 18097 1"
] |
2501848
|
2 2 2 23 13597
|
[
"2501848 2 1250924",
"1250924 2 625462",
"625462 2 312731",
"312731 23 13597",
"13597 13597 1"
] |
2455932
|
2 2 3 103 1987
|
[
"2455932 2 1227966",
"1227966 2 613983",
"613983 3 204661",
"204661 103 1987",
"1987 1987 1"
] |
4000692
|
2 2 3 73 4567
|
[
"4000692 2 2000346",
"2000346 2 1000173",
"1000173 3 333391",
"333391 73 4567",
"4567 4567 1"
] |
2713795
|
5 7 17 4561
|
[
"2713795 5 542759",
"542759 7 77537",
"77537 17 4561",
"4561 4561 1"
] |
4519986
|
2 3 19 31 1279
|
[
"4519986 2 2259993",
"2259993 3 753331",
"753331 19 39649",
"39649 31 1279",
"1279 1279 1"
] |
3866144
|
2 2 2 2 2 120817
|
[
"3866144 2 1933072",
"1933072 2 966536",
"966536 2 483268",
"483268 2 241634",
"241634 2 120817",
"120817 120817 1"
] |
3710567
|
7 19 23 1213
|
[
"3710567 7 530081",
"530081 19 27899",
"27899 23 1213",
"1213 1213 1"
] |
299391
|
3 23 4339
|
[
"299391 3 99797",
"99797 23 4339",
"4339 4339 1"
] |
911155
|
5 7 7 3719
|
[
"911155 5 182231",
"182231 7 26033",
"26033 7 3719",
"3719 3719 1"
] |
410821
|
109 3769
|
[
"410821 109 3769",
"3769 3769 1"
] |
1214511
|
3 404837
|
[
"1214511 3 404837",
"404837 404837 1"
] |
4789570
|
2 5 331 1447
|
[
"4789570 2 2394785",
"2394785 5 478957",
"478957 331 1447",
"1447 1447 1"
] |
3949346
|
2 227 8699
|
[
"3949346 2 1974673",
"1974673 227 8699",
"8699 8699 1"
] |
3201705
|
3 3 5 13 13 421
|
[
"3201705 3 1067235",
"1067235 3 355745",
"355745 5 71149",
"71149 13 5473",
"5473 13 421",
"421 421 1"
] |
2088002
|
2 7 149143
|
[
"2088002 2 1044001",
"1044001 7 149143",
"149143 149143 1"
] |
369323
|
139 2657
|
[
"369323 139 2657",
"2657 2657 1"
] |
1213666
|
2 606833
|
[
"1213666 2 606833",
"606833 606833 1"
] |
1877596
|
2 2 7 67057
|
[
"1877596 2 938798",
"938798 2 469399",
"469399 7 67057",
"67057 67057 1"
] |
1934503
|
29 41 1627
|
[
"1934503 29 66707",
"66707 41 1627",
"1627 1627 1"
] |
2304256
|
2 2 2 2 2 2 2 2 9001
|
[
"2304256 2 1152128",
"1152128 2 576064",
"576064 2 288032",
"288032 2 144016",
"144016 2 72008",
"72008 2 36004",
"36004 2 18002",
"18002 2 9001",
"9001 9001 1"
] |
108079
|
108079
|
[
"108079 108079 1"
] |
3866128
|
2 2 2 2 7 34519
|
[
"3866128 2 1933064",
"1933064 2 966532",
"966532 2 483266",
"483266 2 241633",
"241633 7 34519",
"34519 34519 1"
] |
1714090
|
2 5 7 47 521
|
[
"1714090 2 857045",
"857045 5 171409",
"171409 7 24487",
"24487 47 521",
"521 521 1"
] |
3698920
|
2 2 2 5 19 31 157
|
[
"3698920 2 1849460",
"1849460 2 924730",
"924730 2 462365",
"462365 5 92473",
"92473 19 4867",
"4867 31 157",
"157 157 1"
] |
2579115
|
3 5 7 7 11 11 29
|
[
"2579115 3 859705",
"859705 5 171941",
"171941 7 24563",
"24563 7 3509",
"3509 11 319",
"319 11 29",
"29 29 1"
] |
4144579
|
4144579
|
[
"4144579 4144579 1"
] |
3746023
|
1163 3221
|
[
"3746023 1163 3221",
"3221 3221 1"
] |
2883138
|
2 3 139 3457
|
[
"2883138 2 1441569",
"1441569 3 480523",
"480523 139 3457",
"3457 3457 1"
] |
3649739
|
53 68863
|
[
"3649739 53 68863",
"68863 68863 1"
] |
332873
|
332873
|
[
"332873 332873 1"
] |
2034072
|
2 2 2 3 3 3 3 43 73
|
[
"2034072 2 1017036",
"1017036 2 508518",
"508518 2 254259",
"254259 3 84753",
"84753 3 28251",
"28251 3 9417",
"9417 3 3139",
"3139 43 73",
"73 73 1"
] |
1454450
|
2 5 5 19 1531
|
[
"1454450 2 727225",
"727225 5 145445",
"145445 5 29089",
"29089 19 1531",
"1531 1531 1"
] |
2078451
|
3 3 230939
|
[
"2078451 3 692817",
"692817 3 230939",
"230939 230939 1"
] |
3997805
|
5 7 17 6719
|
[
"3997805 5 799561",
"799561 7 114223",
"114223 17 6719",
"6719 6719 1"
] |
232458
|
2 3 17 43 53
|
[
"232458 2 116229",
"116229 3 38743",
"38743 17 2279",
"2279 43 53",
"53 53 1"
] |
1273452
|
2 2 3 106121
|
[
"1273452 2 636726",
"636726 2 318363",
"318363 3 106121",
"106121 106121 1"
] |
4832196
|
2 2 3 139 2897
|
[
"4832196 2 2416098",
"2416098 2 1208049",
"1208049 3 402683",
"402683 139 2897",
"2897 2897 1"
] |
4472840
|
2 2 2 5 111821
|
[
"4472840 2 2236420",
"2236420 2 1118210",
"1118210 2 559105",
"559105 5 111821",
"111821 111821 1"
] |
2678392
|
2 2 2 19 67 263
|
[
"2678392 2 1339196",
"1339196 2 669598",
"669598 2 334799",
"334799 19 17621",
"17621 67 263",
"263 263 1"
] |
3894603
|
3 229 5669
|
[
"3894603 3 1298201",
"1298201 229 5669",
"5669 5669 1"
] |
652842
|
2 3 3 36269
|
[
"652842 2 326421",
"326421 3 108807",
"108807 3 36269",
"36269 36269 1"
] |
3325165
|
5 431 1543
|
[
"3325165 5 665033",
"665033 431 1543",
"1543 1543 1"
] |
3163834
|
2 23 109 631
|
[
"3163834 2 1581917",
"1581917 23 68779",
"68779 109 631",
"631 631 1"
] |
535368
|
2 2 2 3 22307
|
[
"535368 2 267684",
"267684 2 133842",
"133842 2 66921",
"66921 3 22307",
"22307 22307 1"
] |
1815284
|
2 2 29 15649
|
[
"1815284 2 907642",
"907642 2 453821",
"453821 29 15649",
"15649 15649 1"
] |
2346580
|
2 2 5 117329
|
[
"2346580 2 1173290",
"1173290 2 586645",
"586645 5 117329",
"117329 117329 1"
] |
476746
|
2 238373
|
[
"476746 2 238373",
"238373 238373 1"
] |
4724854
|
2 29 81463
|
[
"4724854 2 2362427",
"2362427 29 81463",
"81463 81463 1"
] |
2110023
|
3 3 3 17 4597
|
[
"2110023 3 703341",
"703341 3 234447",
"234447 3 78149",
"78149 17 4597",
"4597 4597 1"
] |
3754136
|
2 2 2 469267
|
[
"3754136 2 1877068",
"1877068 2 938534",
"938534 2 469267",
"469267 469267 1"
] |
609402
|
2 3 47 2161
|
[
"609402 2 304701",
"304701 3 101567",
"101567 47 2161",
"2161 2161 1"
] |
1520932
|
2 2 7 54319
|
[
"1520932 2 760466",
"760466 2 380233",
"380233 7 54319",
"54319 54319 1"
] |
3029276
|
2 2 757319
|
[
"3029276 2 1514638",
"1514638 2 757319",
"757319 757319 1"
] |
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