input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
|---|---|---|
1389771
|
3 3 3 51473
|
[
"1389771 3 463257",
"463257 3 154419",
"154419 3 51473",
"51473 51473 1"
] |
2245813
|
2245813
|
[
"2245813 2245813 1"
] |
4514831
|
23 73 2689
|
[
"4514831 23 196297",
"196297 73 2689",
"2689 2689 1"
] |
1282312
|
2 2 2 89 1801
|
[
"1282312 2 641156",
"641156 2 320578",
"320578 2 160289",
"160289 89 1801",
"1801 1801 1"
] |
4963961
|
4963961
|
[
"4963961 4963961 1"
] |
4628002
|
2 701 3301
|
[
"4628002 2 2314001",
"2314001 701 3301",
"3301 3301 1"
] |
4527177
|
3 1509059
|
[
"4527177 3 1509059",
"1509059 1509059 1"
] |
1702839
|
3 17 173 193
|
[
"1702839 3 567613",
"567613 17 33389",
"33389 173 193",
"193 193 1"
] |
4363523
|
4363523
|
[
"4363523 4363523 1"
] |
497504
|
2 2 2 2 2 7 2221
|
[
"497504 2 248752",
"248752 2 124376",
"124376 2 62188",
"62188 2 31094",
"31094 2 15547",
"15547 7 2221",
"2221 2221 1"
] |
638850
|
2 3 5 5 4259
|
[
"638850 2 319425",
"319425 3 106475",
"106475 5 21295",
"21295 5 4259",
"4259 4259 1"
] |
2647068
|
2 2 3 220589
|
[
"2647068 2 1323534",
"1323534 2 661767",
"661767 3 220589",
"220589 220589 1"
] |
1624883
|
13 124991
|
[
"1624883 13 124991",
"124991 124991 1"
] |
3759343
|
7 53 10133
|
[
"3759343 7 537049",
"537049 53 10133",
"10133 10133 1"
] |
3346828
|
2 2 836707
|
[
"3346828 2 1673414",
"1673414 2 836707",
"836707 836707 1"
] |
123410
|
2 5 7 41 43
|
[
"123410 2 61705",
"61705 5 12341",
"12341 7 1763",
"1763 41 43",
"43 43 1"
] |
2816984
|
2 2 2 352123
|
[
"2816984 2 1408492",
"1408492 2 704246",
"704246 2 352123",
"352123 352123 1"
] |
5406
|
2 3 17 53
|
[
"5406 2 2703",
"2703 3 901",
"901 17 53",
"53 53 1"
] |
3139863
|
3 587 1783
|
[
"3139863 3 1046621",
"1046621 587 1783",
"1783 1783 1"
] |
281386
|
2 7 101 199
|
[
"281386 2 140693",
"140693 7 20099",
"20099 101 199",
"199 199 1"
] |
1081811
|
101 10711
|
[
"1081811 101 10711",
"10711 10711 1"
] |
1958734
|
2 41 23887
|
[
"1958734 2 979367",
"979367 41 23887",
"23887 23887 1"
] |
2266938
|
2 3 3 125941
|
[
"2266938 2 1133469",
"1133469 3 377823",
"377823 3 125941",
"125941 125941 1"
] |
161071
|
161071
|
[
"161071 161071 1"
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2356025
|
5 5 7 13463
|
[
"2356025 5 471205",
"471205 5 94241",
"94241 7 13463",
"13463 13463 1"
] |
312213
|
3 11 9461
|
[
"312213 3 104071",
"104071 11 9461",
"9461 9461 1"
] |
542196
|
2 2 3 3 15061
|
[
"542196 2 271098",
"271098 2 135549",
"135549 3 45183",
"45183 3 15061",
"15061 15061 1"
] |
284601
|
3 19 4993
|
[
"284601 3 94867",
"94867 19 4993",
"4993 4993 1"
] |
464719
|
541 859
|
[
"464719 541 859",
"859 859 1"
] |
2957270
|
2 5 295727
|
[
"2957270 2 1478635",
"1478635 5 295727",
"295727 295727 1"
] |
3854679
|
3 89 14437
|
[
"3854679 3 1284893",
"1284893 89 14437",
"14437 14437 1"
] |
2118089
|
2118089
|
[
"2118089 2118089 1"
] |
3346881
|
3 1115627
|
[
"3346881 3 1115627",
"1115627 1115627 1"
] |
3428187
|
3 7 7 23321
|
[
"3428187 3 1142729",
"1142729 7 163247",
"163247 7 23321",
"23321 23321 1"
] |
1436513
|
13 110501
|
[
"1436513 13 110501",
"110501 110501 1"
] |
4515912
|
2 2 2 3 3 3 3 3 23 101
|
[
"4515912 2 2257956",
"2257956 2 1128978",
"1128978 2 564489",
"564489 3 188163",
"188163 3 62721",
"62721 3 20907",
"20907 3 6969",
"6969 3 2323",
"2323 23 101",
"101 101 1"
] |
2726681
|
17 107 1499
|
[
"2726681 17 160393",
"160393 107 1499",
"1499 1499 1"
] |
2910746
|
2 1455373
|
[
"2910746 2 1455373",
"1455373 1455373 1"
] |
1781454
|
2 3 296909
|
[
"1781454 2 890727",
"890727 3 296909",
"296909 296909 1"
] |
1420488
|
2 2 2 3 3 109 181
|
[
"1420488 2 710244",
"710244 2 355122",
"355122 2 177561",
"177561 3 59187",
"59187 3 19729",
"19729 109 181",
"181 181 1"
] |
4664633
|
19 97 2531
|
[
"4664633 19 245507",
"245507 97 2531",
"2531 2531 1"
] |
3103585
|
5 620717
|
[
"3103585 5 620717",
"620717 620717 1"
] |
2220260
|
2 2 5 7 15859
|
[
"2220260 2 1110130",
"1110130 2 555065",
"555065 5 111013",
"111013 7 15859",
"15859 15859 1"
] |
4006833
|
3 1335611
|
[
"4006833 3 1335611",
"1335611 1335611 1"
] |
2948390
|
2 5 53 5563
|
[
"2948390 2 1474195",
"1474195 5 294839",
"294839 53 5563",
"5563 5563 1"
] |
1663500
|
2 2 3 5 5 5 1109
|
[
"1663500 2 831750",
"831750 2 415875",
"415875 3 138625",
"138625 5 27725",
"27725 5 5545",
"5545 5 1109",
"1109 1109 1"
] |
3396740
|
2 2 5 169837
|
[
"3396740 2 1698370",
"1698370 2 849185",
"849185 5 169837",
"169837 169837 1"
] |
357707
|
7 137 373
|
[
"357707 7 51101",
"51101 137 373",
"373 373 1"
] |
47049
|
3 15683
|
[
"47049 3 15683",
"15683 15683 1"
] |
3155254
|
2 19 43 1931
|
[
"3155254 2 1577627",
"1577627 19 83033",
"83033 43 1931",
"1931 1931 1"
] |
3820969
|
1783 2143
|
[
"3820969 1783 2143",
"2143 2143 1"
] |
3760122
|
2 3 626687
|
[
"3760122 2 1880061",
"1880061 3 626687",
"626687 626687 1"
] |
2178443
|
2178443
|
[
"2178443 2178443 1"
] |
4532170
|
2 5 453217
|
[
"4532170 2 2266085",
"2266085 5 453217",
"453217 453217 1"
] |
3703595
|
5 7 105817
|
[
"3703595 5 740719",
"740719 7 105817",
"105817 105817 1"
] |
1488101
|
43 34607
|
[
"1488101 43 34607",
"34607 34607 1"
] |
779135
|
5 7 113 197
|
[
"779135 5 155827",
"155827 7 22261",
"22261 113 197",
"197 197 1"
] |
675661
|
7 7 13789
|
[
"675661 7 96523",
"96523 7 13789",
"13789 13789 1"
] |
70652
|
2 2 17 1039
|
[
"70652 2 35326",
"35326 2 17663",
"17663 17 1039",
"1039 1039 1"
] |
4648400
|
2 2 2 2 5 5 11621
|
[
"4648400 2 2324200",
"2324200 2 1162100",
"1162100 2 581050",
"581050 2 290525",
"290525 5 58105",
"58105 5 11621",
"11621 11621 1"
] |
4141824
|
2 2 2 2 2 2 2 2 3 5393
|
[
"4141824 2 2070912",
"2070912 2 1035456",
"1035456 2 517728",
"517728 2 258864",
"258864 2 129432",
"129432 2 64716",
"64716 2 32358",
"32358 2 16179",
"16179 3 5393",
"5393 5393 1"
] |
186925
|
5 5 7477
|
[
"186925 5 37385",
"37385 5 7477",
"7477 7477 1"
] |
3825864
|
2 2 2 3 3 7 7591
|
[
"3825864 2 1912932",
"1912932 2 956466",
"956466 2 478233",
"478233 3 159411",
"159411 3 53137",
"53137 7 7591",
"7591 7591 1"
] |
1955851
|
23 85037
|
[
"1955851 23 85037",
"85037 85037 1"
] |
3233249
|
19 379 449
|
[
"3233249 19 170171",
"170171 379 449",
"449 449 1"
] |
653734
|
2 326867
|
[
"653734 2 326867",
"326867 326867 1"
] |
1298609
|
13 191 523
|
[
"1298609 13 99893",
"99893 191 523",
"523 523 1"
] |
4621853
|
4621853
|
[
"4621853 4621853 1"
] |
3946859
|
7 563837
|
[
"3946859 7 563837",
"563837 563837 1"
] |
4215980
|
2 2 5 71 2969
|
[
"4215980 2 2107990",
"2107990 2 1053995",
"1053995 5 210799",
"210799 71 2969",
"2969 2969 1"
] |
1455318
|
2 3 3 233 347
|
[
"1455318 2 727659",
"727659 3 242553",
"242553 3 80851",
"80851 233 347",
"347 347 1"
] |
1183658
|
2 7 59 1433
|
[
"1183658 2 591829",
"591829 7 84547",
"84547 59 1433",
"1433 1433 1"
] |
3629083
|
733 4951
|
[
"3629083 733 4951",
"4951 4951 1"
] |
4211111
|
4211111
|
[
"4211111 4211111 1"
] |
1538919
|
3 3 3 3 3 3 2111
|
[
"1538919 3 512973",
"512973 3 170991",
"170991 3 56997",
"56997 3 18999",
"18999 3 6333",
"6333 3 2111",
"2111 2111 1"
] |
990935
|
5 11 43 419
|
[
"990935 5 198187",
"198187 11 18017",
"18017 43 419",
"419 419 1"
] |
4052098
|
2 313 6473
|
[
"4052098 2 2026049",
"2026049 313 6473",
"6473 6473 1"
] |
1209924
|
2 2 3 3 3 17 659
|
[
"1209924 2 604962",
"604962 2 302481",
"302481 3 100827",
"100827 3 33609",
"33609 3 11203",
"11203 17 659",
"659 659 1"
] |
1999464
|
2 2 2 3 83311
|
[
"1999464 2 999732",
"999732 2 499866",
"499866 2 249933",
"249933 3 83311",
"83311 83311 1"
] |
327056
|
2 2 2 2 20441
|
[
"327056 2 163528",
"163528 2 81764",
"81764 2 40882",
"40882 2 20441",
"20441 20441 1"
] |
627555
|
3 5 17 23 107
|
[
"627555 3 209185",
"209185 5 41837",
"41837 17 2461",
"2461 23 107",
"107 107 1"
] |
2932528
|
2 2 2 2 183283
|
[
"2932528 2 1466264",
"1466264 2 733132",
"733132 2 366566",
"366566 2 183283",
"183283 183283 1"
] |
3655941
|
3 1091 1117
|
[
"3655941 3 1218647",
"1218647 1091 1117",
"1117 1117 1"
] |
1804036
|
2 2 13 34693
|
[
"1804036 2 902018",
"902018 2 451009",
"451009 13 34693",
"34693 34693 1"
] |
4528512
|
2 2 2 2 2 2 2 3 3 3931
|
[
"4528512 2 2264256",
"2264256 2 1132128",
"1132128 2 566064",
"566064 2 283032",
"283032 2 141516",
"141516 2 70758",
"70758 2 35379",
"35379 3 11793",
"11793 3 3931",
"3931 3931 1"
] |
897814
|
2 448907
|
[
"897814 2 448907",
"448907 448907 1"
] |
258606
|
2 3 3 3 4789
|
[
"258606 2 129303",
"129303 3 43101",
"43101 3 14367",
"14367 3 4789",
"4789 4789 1"
] |
1635749
|
1103 1483
|
[
"1635749 1103 1483",
"1483 1483 1"
] |
2856615
|
3 5 157 1213
|
[
"2856615 3 952205",
"952205 5 190441",
"190441 157 1213",
"1213 1213 1"
] |
3542711
|
31 114281
|
[
"3542711 31 114281",
"114281 114281 1"
] |
2295264
|
2 2 2 2 2 3 23909
|
[
"2295264 2 1147632",
"1147632 2 573816",
"573816 2 286908",
"286908 2 143454",
"143454 2 71727",
"71727 3 23909",
"23909 23909 1"
] |
3305012
|
2 2 19 43487
|
[
"3305012 2 1652506",
"1652506 2 826253",
"826253 19 43487",
"43487 43487 1"
] |
1027009
|
37 41 677
|
[
"1027009 37 27757",
"27757 41 677",
"677 677 1"
] |
4656589
|
7 17 109 359
|
[
"4656589 7 665227",
"665227 17 39131",
"39131 109 359",
"359 359 1"
] |
120648
|
2 2 2 3 11 457
|
[
"120648 2 60324",
"60324 2 30162",
"30162 2 15081",
"15081 3 5027",
"5027 11 457",
"457 457 1"
] |
1607513
|
1607513
|
[
"1607513 1607513 1"
] |
3579352
|
2 2 2 7 7 23 397
|
[
"3579352 2 1789676",
"1789676 2 894838",
"894838 2 447419",
"447419 7 63917",
"63917 7 9131",
"9131 23 397",
"397 397 1"
] |
2517459
|
3 7 313 383
|
[
"2517459 3 839153",
"839153 7 119879",
"119879 313 383",
"383 383 1"
] |
466207
|
7 66601
|
[
"466207 7 66601",
"66601 66601 1"
] |
2561423
|
2561423
|
[
"2561423 2561423 1"
] |
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