input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
---|---|---|
1950475
|
5 5 61 1279
|
[
"1950475 5 390095",
"390095 5 78019",
"78019 61 1279",
"1279 1279 1"
] |
4192810
|
2 5 419281
|
[
"4192810 2 2096405",
"2096405 5 419281",
"419281 419281 1"
] |
1957068
|
2 2 3 3 3 18121
|
[
"1957068 2 978534",
"978534 2 489267",
"489267 3 163089",
"163089 3 54363",
"54363 3 18121",
"18121 18121 1"
] |
1694395
|
5 349 971
|
[
"1694395 5 338879",
"338879 349 971",
"971 971 1"
] |
232727
|
11 21157
|
[
"232727 11 21157",
"21157 21157 1"
] |
124078
|
2 62039
|
[
"124078 2 62039",
"62039 62039 1"
] |
321941
|
43 7487
|
[
"321941 43 7487",
"7487 7487 1"
] |
3550234
|
2 23 113 683
|
[
"3550234 2 1775117",
"1775117 23 77179",
"77179 113 683",
"683 683 1"
] |
3216041
|
3216041
|
[
"3216041 3216041 1"
] |
1984334
|
2 11 90197
|
[
"1984334 2 992167",
"992167 11 90197",
"90197 90197 1"
] |
453445
|
5 23 3943
|
[
"453445 5 90689",
"90689 23 3943",
"3943 3943 1"
] |
3859460
|
2 2 5 11 53 331
|
[
"3859460 2 1929730",
"1929730 2 964865",
"964865 5 192973",
"192973 11 17543",
"17543 53 331",
"331 331 1"
] |
2068913
|
7 11 97 277
|
[
"2068913 7 295559",
"295559 11 26869",
"26869 97 277",
"277 277 1"
] |
1294994
|
2 31 20887
|
[
"1294994 2 647497",
"647497 31 20887",
"20887 20887 1"
] |
362930
|
2 5 36293
|
[
"362930 2 181465",
"181465 5 36293",
"36293 36293 1"
] |
1325462
|
2 79 8389
|
[
"1325462 2 662731",
"662731 79 8389",
"8389 8389 1"
] |
4230590
|
2 5 7 13 4649
|
[
"4230590 2 2115295",
"2115295 5 423059",
"423059 7 60437",
"60437 13 4649",
"4649 4649 1"
] |
2266468
|
2 2 566617
|
[
"2266468 2 1133234",
"1133234 2 566617",
"566617 566617 1"
] |
1563283
|
1563283
|
[
"1563283 1563283 1"
] |
4788246
|
2 3 331 2411
|
[
"4788246 2 2394123",
"2394123 3 798041",
"798041 331 2411",
"2411 2411 1"
] |
4252428
|
2 2 3 3 19 6217
|
[
"4252428 2 2126214",
"2126214 2 1063107",
"1063107 3 354369",
"354369 3 118123",
"118123 19 6217",
"6217 6217 1"
] |
375847
|
41 89 103
|
[
"375847 41 9167",
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"103 103 1"
] |
2343363
|
3 11 71011
|
[
"2343363 3 781121",
"781121 11 71011",
"71011 71011 1"
] |
4016093
|
4016093
|
[
"4016093 4016093 1"
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28231
|
7 37 109
|
[
"28231 7 4033",
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"109 109 1"
] |
1348
|
2 2 337
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[
"1348 2 674",
"674 2 337",
"337 337 1"
] |
345036
|
2 2 3 28753
|
[
"345036 2 172518",
"172518 2 86259",
"86259 3 28753",
"28753 28753 1"
] |
41805
|
3 3 5 929
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[
"41805 3 13935",
"13935 3 4645",
"4645 5 929",
"929 929 1"
] |
3903643
|
3903643
|
[
"3903643 3903643 1"
] |
1980329
|
13 347 439
|
[
"1980329 13 152333",
"152333 347 439",
"439 439 1"
] |
3256972
|
2 2 814243
|
[
"3256972 2 1628486",
"1628486 2 814243",
"814243 814243 1"
] |
4334515
|
5 173 5011
|
[
"4334515 5 866903",
"866903 173 5011",
"5011 5011 1"
] |
3309641
|
1741 1901
|
[
"3309641 1741 1901",
"1901 1901 1"
] |
4924173
|
3 19 86389
|
[
"4924173 3 1641391",
"1641391 19 86389",
"86389 86389 1"
] |
4268337
|
3 107 13297
|
[
"4268337 3 1422779",
"1422779 107 13297",
"13297 13297 1"
] |
4663232
|
2 2 2 2 2 2 7 7 1487
|
[
"4663232 2 2331616",
"2331616 2 1165808",
"1165808 2 582904",
"582904 2 291452",
"291452 2 145726",
"145726 2 72863",
"72863 7 10409",
"10409 7 1487",
"1487 1487 1"
] |
2122059
|
3 17 41609
|
[
"2122059 3 707353",
"707353 17 41609",
"41609 41609 1"
] |
85660
|
2 2 5 4283
|
[
"85660 2 42830",
"42830 2 21415",
"21415 5 4283",
"4283 4283 1"
] |
1817965
|
5 599 607
|
[
"1817965 5 363593",
"363593 599 607",
"607 607 1"
] |
2953086
|
2 3 577 853
|
[
"2953086 2 1476543",
"1476543 3 492181",
"492181 577 853",
"853 853 1"
] |
3836480
|
2 2 2 2 2 2 5 19 631
|
[
"3836480 2 1918240",
"1918240 2 959120",
"959120 2 479560",
"479560 2 239780",
"239780 2 119890",
"119890 2 59945",
"59945 5 11989",
"11989 19 631",
"631 631 1"
] |
4568926
|
2 1471 1553
|
[
"4568926 2 2284463",
"2284463 1471 1553",
"1553 1553 1"
] |
206913
|
3 7 59 167
|
[
"206913 3 68971",
"68971 7 9853",
"9853 59 167",
"167 167 1"
] |
4893471
|
3 3 11 49429
|
[
"4893471 3 1631157",
"1631157 3 543719",
"543719 11 49429",
"49429 49429 1"
] |
1807753
|
103 17551
|
[
"1807753 103 17551",
"17551 17551 1"
] |
709898
|
2 7 50707
|
[
"709898 2 354949",
"354949 7 50707",
"50707 50707 1"
] |
2396876
|
2 2 23 26053
|
[
"2396876 2 1198438",
"1198438 2 599219",
"599219 23 26053",
"26053 26053 1"
] |
4092281
|
197 20773
|
[
"4092281 197 20773",
"20773 20773 1"
] |
1414255
|
5 282851
|
[
"1414255 5 282851",
"282851 282851 1"
] |
2384362
|
2 1192181
|
[
"2384362 2 1192181",
"1192181 1192181 1"
] |
475885
|
5 95177
|
[
"475885 5 95177",
"95177 95177 1"
] |
4495003
|
131 34313
|
[
"4495003 131 34313",
"34313 34313 1"
] |
276217
|
41 6737
|
[
"276217 41 6737",
"6737 6737 1"
] |
2892182
|
2 1446091
|
[
"2892182 2 1446091",
"1446091 1446091 1"
] |
111185
|
5 37 601
|
[
"111185 5 22237",
"22237 37 601",
"601 601 1"
] |
3918551
|
7 13 17 17 149
|
[
"3918551 7 559793",
"559793 13 43061",
"43061 17 2533",
"2533 17 149",
"149 149 1"
] |
2681578
|
2 1340789
|
[
"2681578 2 1340789",
"1340789 1340789 1"
] |
65842
|
2 7 4703
|
[
"65842 2 32921",
"32921 7 4703",
"4703 4703 1"
] |
2062544
|
2 2 2 2 11 11719
|
[
"2062544 2 1031272",
"1031272 2 515636",
"515636 2 257818",
"257818 2 128909",
"128909 11 11719",
"11719 11719 1"
] |
4937500
|
2 2 5 5 5 5 5 5 79
|
[
"4937500 2 2468750",
"2468750 2 1234375",
"1234375 5 246875",
"246875 5 49375",
"49375 5 9875",
"9875 5 1975",
"1975 5 395",
"395 5 79",
"79 79 1"
] |
4042426
|
2 29 69697
|
[
"4042426 2 2021213",
"2021213 29 69697",
"69697 69697 1"
] |
1848212
|
2 2 367 1259
|
[
"1848212 2 924106",
"924106 2 462053",
"462053 367 1259",
"1259 1259 1"
] |
3508909
|
3508909
|
[
"3508909 3508909 1"
] |
4687233
|
3 1562411
|
[
"4687233 3 1562411",
"1562411 1562411 1"
] |
492236
|
2 2 123059
|
[
"492236 2 246118",
"246118 2 123059",
"123059 123059 1"
] |
3584972
|
2 2 47 19069
|
[
"3584972 2 1792486",
"1792486 2 896243",
"896243 47 19069",
"19069 19069 1"
] |
427691
|
11 59 659
|
[
"427691 11 38881",
"38881 59 659",
"659 659 1"
] |
527686
|
2 263843
|
[
"527686 2 263843",
"263843 263843 1"
] |
4417159
|
31 89 1601
|
[
"4417159 31 142489",
"142489 89 1601",
"1601 1601 1"
] |
1689169
|
43 163 241
|
[
"1689169 43 39283",
"39283 163 241",
"241 241 1"
] |
1055226
|
2 3 397 443
|
[
"1055226 2 527613",
"527613 3 175871",
"175871 397 443",
"443 443 1"
] |
4455861
|
3 19 78173
|
[
"4455861 3 1485287",
"1485287 19 78173",
"78173 78173 1"
] |
4229148
|
2 2 3 7 11 23 199
|
[
"4229148 2 2114574",
"2114574 2 1057287",
"1057287 3 352429",
"352429 7 50347",
"50347 11 4577",
"4577 23 199",
"199 199 1"
] |
3009639
|
3 379 2647
|
[
"3009639 3 1003213",
"1003213 379 2647",
"2647 2647 1"
] |
1587008
|
2 2 2 2 2 2 137 181
|
[
"1587008 2 793504",
"793504 2 396752",
"396752 2 198376",
"198376 2 99188",
"99188 2 49594",
"49594 2 24797",
"24797 137 181",
"181 181 1"
] |
2494356
|
2 2 3 109 1907
|
[
"2494356 2 1247178",
"1247178 2 623589",
"623589 3 207863",
"207863 109 1907",
"1907 1907 1"
] |
2791532
|
2 2 373 1871
|
[
"2791532 2 1395766",
"1395766 2 697883",
"697883 373 1871",
"1871 1871 1"
] |
3947384
|
2 2 2 7 70489
|
[
"3947384 2 1973692",
"1973692 2 986846",
"986846 2 493423",
"493423 7 70489",
"70489 70489 1"
] |
1982636
|
2 2 31 59 271
|
[
"1982636 2 991318",
"991318 2 495659",
"495659 31 15989",
"15989 59 271",
"271 271 1"
] |
4596251
|
11 23 37 491
|
[
"4596251 11 417841",
"417841 23 18167",
"18167 37 491",
"491 491 1"
] |
3083533
|
83 97 383
|
[
"3083533 83 37151",
"37151 97 383",
"383 383 1"
] |
2041556
|
2 2 11 46399
|
[
"2041556 2 1020778",
"1020778 2 510389",
"510389 11 46399",
"46399 46399 1"
] |
2893978
|
2 17 47 1811
|
[
"2893978 2 1446989",
"1446989 17 85117",
"85117 47 1811",
"1811 1811 1"
] |
3804924
|
2 2 3 317077
|
[
"3804924 2 1902462",
"1902462 2 951231",
"951231 3 317077",
"317077 317077 1"
] |
87172
|
2 2 19 31 37
|
[
"87172 2 43586",
"43586 2 21793",
"21793 19 1147",
"1147 31 37",
"37 37 1"
] |
773618
|
2 386809
|
[
"773618 2 386809",
"386809 386809 1"
] |
3613312
|
2 2 2 2 2 2 2 28229
|
[
"3613312 2 1806656",
"1806656 2 903328",
"903328 2 451664",
"451664 2 225832",
"225832 2 112916",
"112916 2 56458",
"56458 2 28229",
"28229 28229 1"
] |
192953
|
157 1229
|
[
"192953 157 1229",
"1229 1229 1"
] |
1314525
|
3 5 5 17 1031
|
[
"1314525 3 438175",
"438175 5 87635",
"87635 5 17527",
"17527 17 1031",
"1031 1031 1"
] |
208821
|
3 47 1481
|
[
"208821 3 69607",
"69607 47 1481",
"1481 1481 1"
] |
2963575
|
5 5 118543
|
[
"2963575 5 592715",
"592715 5 118543",
"118543 118543 1"
] |
3279103
|
877 3739
|
[
"3279103 877 3739",
"3739 3739 1"
] |
1720505
|
5 61 5641
|
[
"1720505 5 344101",
"344101 61 5641",
"5641 5641 1"
] |
1829430
|
2 3 3 5 20327
|
[
"1829430 2 914715",
"914715 3 304905",
"304905 3 101635",
"101635 5 20327",
"20327 20327 1"
] |
1049195
|
5 7 31 967
|
[
"1049195 5 209839",
"209839 7 29977",
"29977 31 967",
"967 967 1"
] |
2967940
|
2 2 5 31 4787
|
[
"2967940 2 1483970",
"1483970 2 741985",
"741985 5 148397",
"148397 31 4787",
"4787 4787 1"
] |
3722031
|
3 3 3 3 3 17 17 53
|
[
"3722031 3 1240677",
"1240677 3 413559",
"413559 3 137853",
"137853 3 45951",
"45951 3 15317",
"15317 17 901",
"901 17 53",
"53 53 1"
] |
1236261
|
3 13 31699
|
[
"1236261 3 412087",
"412087 13 31699",
"31699 31699 1"
] |
2966464
|
2 2 2 2 2 2 46351
|
[
"2966464 2 1483232",
"1483232 2 741616",
"741616 2 370808",
"370808 2 185404",
"185404 2 92702",
"92702 2 46351",
"46351 46351 1"
] |
2600256
|
2 2 2 2 2 2 3 29 467
|
[
"2600256 2 1300128",
"1300128 2 650064",
"650064 2 325032",
"325032 2 162516",
"162516 2 81258",
"81258 2 40629",
"40629 3 13543",
"13543 29 467",
"467 467 1"
] |
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