input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
---|---|---|
1190674
|
2 139 4283
|
[
"1190674 2 595337",
"595337 139 4283",
"4283 4283 1"
] |
3732011
|
139 26849
|
[
"3732011 139 26849",
"26849 26849 1"
] |
3530234
|
2 883 1999
|
[
"3530234 2 1765117",
"1765117 883 1999",
"1999 1999 1"
] |
1331721
|
3 3 3 3 41 401
|
[
"1331721 3 443907",
"443907 3 147969",
"147969 3 49323",
"49323 3 16441",
"16441 41 401",
"401 401 1"
] |
788936
|
2 2 2 17 5801
|
[
"788936 2 394468",
"394468 2 197234",
"197234 2 98617",
"98617 17 5801",
"5801 5801 1"
] |
4297819
|
19 226201
|
[
"4297819 19 226201",
"226201 226201 1"
] |
4050865
|
5 7 13 29 307
|
[
"4050865 5 810173",
"810173 7 115739",
"115739 13 8903",
"8903 29 307",
"307 307 1"
] |
4679730
|
2 3 3 5 11 29 163
|
[
"4679730 2 2339865",
"2339865 3 779955",
"779955 3 259985",
"259985 5 51997",
"51997 11 4727",
"4727 29 163",
"163 163 1"
] |
2032277
|
13 156329
|
[
"2032277 13 156329",
"156329 156329 1"
] |
3232706
|
2 487 3319
|
[
"3232706 2 1616353",
"1616353 487 3319",
"3319 3319 1"
] |
1894393
|
1894393
|
[
"1894393 1894393 1"
] |
3601704
|
2 2 2 3 31 47 103
|
[
"3601704 2 1800852",
"1800852 2 900426",
"900426 2 450213",
"450213 3 150071",
"150071 31 4841",
"4841 47 103",
"103 103 1"
] |
2667363
|
3 727 1223
|
[
"2667363 3 889121",
"889121 727 1223",
"1223 1223 1"
] |
3517711
|
653 5387
|
[
"3517711 653 5387",
"5387 5387 1"
] |
572034
|
2 3 95339
|
[
"572034 2 286017",
"286017 3 95339",
"95339 95339 1"
] |
4596679
|
349 13171
|
[
"4596679 349 13171",
"13171 13171 1"
] |
4819804
|
2 2 11 109541
|
[
"4819804 2 2409902",
"2409902 2 1204951",
"1204951 11 109541",
"109541 109541 1"
] |
3916336
|
2 2 2 2 151 1621
|
[
"3916336 2 1958168",
"1958168 2 979084",
"979084 2 489542",
"489542 2 244771",
"244771 151 1621",
"1621 1621 1"
] |
3137086
|
2 1568543
|
[
"3137086 2 1568543",
"1568543 1568543 1"
] |
630207
|
3 3 3 17 1373
|
[
"630207 3 210069",
"210069 3 70023",
"70023 3 23341",
"23341 17 1373",
"1373 1373 1"
] |
2273438
|
2 1136719
|
[
"2273438 2 1136719",
"1136719 1136719 1"
] |
724174
|
2 11 32917
|
[
"724174 2 362087",
"362087 11 32917",
"32917 32917 1"
] |
2512537
|
2512537
|
[
"2512537 2512537 1"
] |
2307949
|
7 7 19 37 67
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[
"2307949 7 329707",
"329707 7 47101",
"47101 19 2479",
"2479 37 67",
"67 67 1"
] |
1554249
|
3 518083
|
[
"1554249 3 518083",
"518083 518083 1"
] |
4708842
|
2 3 37 21211
|
[
"4708842 2 2354421",
"2354421 3 784807",
"784807 37 21211",
"21211 21211 1"
] |
1575410
|
2 5 257 613
|
[
"1575410 2 787705",
"787705 5 157541",
"157541 257 613",
"613 613 1"
] |
1279361
|
1279361
|
[
"1279361 1279361 1"
] |
3105695
|
5 621139
|
[
"3105695 5 621139",
"621139 621139 1"
] |
1974933
|
3 3 219437
|
[
"1974933 3 658311",
"658311 3 219437",
"219437 219437 1"
] |
2948445
|
3 3 5 65521
|
[
"2948445 3 982815",
"982815 3 327605",
"327605 5 65521",
"65521 65521 1"
] |
3691806
|
2 3 521 1181
|
[
"3691806 2 1845903",
"1845903 3 615301",
"615301 521 1181",
"1181 1181 1"
] |
3044339
|
1543 1973
|
[
"3044339 1543 1973",
"1973 1973 1"
] |
1281920
|
2 2 2 2 2 2 2 5 2003
|
[
"1281920 2 640960",
"640960 2 320480",
"320480 2 160240",
"160240 2 80120",
"80120 2 40060",
"40060 2 20030",
"20030 2 10015",
"10015 5 2003",
"2003 2003 1"
] |
1536091
|
821 1871
|
[
"1536091 821 1871",
"1871 1871 1"
] |
476293
|
263 1811
|
[
"476293 263 1811",
"1811 1811 1"
] |
787842
|
2 3 3 11 23 173
|
[
"787842 2 393921",
"393921 3 131307",
"131307 3 43769",
"43769 11 3979",
"3979 23 173",
"173 173 1"
] |
2699156
|
2 2 674789
|
[
"2699156 2 1349578",
"1349578 2 674789",
"674789 674789 1"
] |
782612
|
2 2 17 17 677
|
[
"782612 2 391306",
"391306 2 195653",
"195653 17 11509",
"11509 17 677",
"677 677 1"
] |
1525568
|
2 2 2 2 2 2 11 11 197
|
[
"1525568 2 762784",
"762784 2 381392",
"381392 2 190696",
"190696 2 95348",
"95348 2 47674",
"47674 2 23837",
"23837 11 2167",
"2167 11 197",
"197 197 1"
] |
4206846
|
2 3 7 7 41 349
|
[
"4206846 2 2103423",
"2103423 3 701141",
"701141 7 100163",
"100163 7 14309",
"14309 41 349",
"349 349 1"
] |
1060651
|
733 1447
|
[
"1060651 733 1447",
"1447 1447 1"
] |
2586592
|
2 2 2 2 2 80831
|
[
"2586592 2 1293296",
"1293296 2 646648",
"646648 2 323324",
"323324 2 161662",
"161662 2 80831",
"80831 80831 1"
] |
1002802
|
2 501401
|
[
"1002802 2 501401",
"501401 501401 1"
] |
3304973
|
7 472139
|
[
"3304973 7 472139",
"472139 472139 1"
] |
3021233
|
823 3671
|
[
"3021233 823 3671",
"3671 3671 1"
] |
1720214
|
2 860107
|
[
"1720214 2 860107",
"860107 860107 1"
] |
2763011
|
2763011
|
[
"2763011 2763011 1"
] |
4350064
|
2 2 2 2 271879
|
[
"4350064 2 2175032",
"2175032 2 1087516",
"1087516 2 543758",
"543758 2 271879",
"271879 271879 1"
] |
3436256
|
2 2 2 2 2 73 1471
|
[
"3436256 2 1718128",
"1718128 2 859064",
"859064 2 429532",
"429532 2 214766",
"214766 2 107383",
"107383 73 1471",
"1471 1471 1"
] |
328288
|
2 2 2 2 2 10259
|
[
"328288 2 164144",
"164144 2 82072",
"82072 2 41036",
"41036 2 20518",
"20518 2 10259",
"10259 10259 1"
] |
3875689
|
41 94529
|
[
"3875689 41 94529",
"94529 94529 1"
] |
603865
|
5 23 59 89
|
[
"603865 5 120773",
"120773 23 5251",
"5251 59 89",
"89 89 1"
] |
3453684
|
2 2 3 13 13 13 131
|
[
"3453684 2 1726842",
"1726842 2 863421",
"863421 3 287807",
"287807 13 22139",
"22139 13 1703",
"1703 13 131",
"131 131 1"
] |
4914714
|
2 3 7 117017
|
[
"4914714 2 2457357",
"2457357 3 819119",
"819119 7 117017",
"117017 117017 1"
] |
2289124
|
2 2 572281
|
[
"2289124 2 1144562",
"1144562 2 572281",
"572281 572281 1"
] |
1433652
|
2 2 3 11 10861
|
[
"1433652 2 716826",
"716826 2 358413",
"358413 3 119471",
"119471 11 10861",
"10861 10861 1"
] |
2513884
|
2 2 157 4003
|
[
"2513884 2 1256942",
"1256942 2 628471",
"628471 157 4003",
"4003 4003 1"
] |
3297441
|
3 7 23 6827
|
[
"3297441 3 1099147",
"1099147 7 157021",
"157021 23 6827",
"6827 6827 1"
] |
4499976
|
2 2 2 3 13 14423
|
[
"4499976 2 2249988",
"2249988 2 1124994",
"1124994 2 562497",
"562497 3 187499",
"187499 13 14423",
"14423 14423 1"
] |
2556524
|
2 2 29 22039
|
[
"2556524 2 1278262",
"1278262 2 639131",
"639131 29 22039",
"22039 22039 1"
] |
51748
|
2 2 17 761
|
[
"51748 2 25874",
"25874 2 12937",
"12937 17 761",
"761 761 1"
] |
3647488
|
2 2 2 2 2 2 2 2 2 2 2 13 137
|
[
"3647488 2 1823744",
"1823744 2 911872",
"911872 2 455936",
"455936 2 227968",
"227968 2 113984",
"113984 2 56992",
"56992 2 28496",
"28496 2 14248",
"14248 2 7124",
"7124 2 3562",
"3562 2 1781",
"1781 13 137",
"137 137 1"
] |
2483856
|
2 2 2 2 3 3 47 367
|
[
"2483856 2 1241928",
"1241928 2 620964",
"620964 2 310482",
"310482 2 155241",
"155241 3 51747",
"51747 3 17249",
"17249 47 367",
"367 367 1"
] |
2845034
|
2 223 6379
|
[
"2845034 2 1422517",
"1422517 223 6379",
"6379 6379 1"
] |
2154450
|
2 3 5 5 53 271
|
[
"2154450 2 1077225",
"1077225 3 359075",
"359075 5 71815",
"71815 5 14363",
"14363 53 271",
"271 271 1"
] |
3969416
|
2 2 2 11 43 1049
|
[
"3969416 2 1984708",
"1984708 2 992354",
"992354 2 496177",
"496177 11 45107",
"45107 43 1049",
"1049 1049 1"
] |
2566866
|
2 3 383 1117
|
[
"2566866 2 1283433",
"1283433 3 427811",
"427811 383 1117",
"1117 1117 1"
] |
2469420
|
2 2 3 3 3 5 17 269
|
[
"2469420 2 1234710",
"1234710 2 617355",
"617355 3 205785",
"205785 3 68595",
"68595 3 22865",
"22865 5 4573",
"4573 17 269",
"269 269 1"
] |
4677507
|
3 3 3 3 3 19249
|
[
"4677507 3 1559169",
"1559169 3 519723",
"519723 3 173241",
"173241 3 57747",
"57747 3 19249",
"19249 19249 1"
] |
2475277
|
7 353611
|
[
"2475277 7 353611",
"353611 353611 1"
] |
3880436
|
2 2 7 138587
|
[
"3880436 2 1940218",
"1940218 2 970109",
"970109 7 138587",
"138587 138587 1"
] |
4333800
|
2 2 2 3 5 5 31 233
|
[
"4333800 2 2166900",
"2166900 2 1083450",
"1083450 2 541725",
"541725 3 180575",
"180575 5 36115",
"36115 5 7223",
"7223 31 233",
"233 233 1"
] |
4889705
|
5 79 12379
|
[
"4889705 5 977941",
"977941 79 12379",
"12379 12379 1"
] |
1480328
|
2 2 2 19 9739
|
[
"1480328 2 740164",
"740164 2 370082",
"370082 2 185041",
"185041 19 9739",
"9739 9739 1"
] |
1264443
|
3 17 24793
|
[
"1264443 3 421481",
"421481 17 24793",
"24793 24793 1"
] |
3074330
|
2 5 7 37 1187
|
[
"3074330 2 1537165",
"1537165 5 307433",
"307433 7 43919",
"43919 37 1187",
"1187 1187 1"
] |
1015414
|
2 233 2179
|
[
"1015414 2 507707",
"507707 233 2179",
"2179 2179 1"
] |
3730720
|
2 2 2 2 2 5 7 3331
|
[
"3730720 2 1865360",
"1865360 2 932680",
"932680 2 466340",
"466340 2 233170",
"233170 2 116585",
"116585 5 23317",
"23317 7 3331",
"3331 3331 1"
] |
2567008
|
2 2 2 2 2 97 827
|
[
"2567008 2 1283504",
"1283504 2 641752",
"641752 2 320876",
"320876 2 160438",
"160438 2 80219",
"80219 97 827",
"827 827 1"
] |
4580087
|
439 10433
|
[
"4580087 439 10433",
"10433 10433 1"
] |
1540486
|
2 349 2207
|
[
"1540486 2 770243",
"770243 349 2207",
"2207 2207 1"
] |
3762424
|
2 2 2 470303
|
[
"3762424 2 1881212",
"1881212 2 940606",
"940606 2 470303",
"470303 470303 1"
] |
1579138
|
2 11 179 401
|
[
"1579138 2 789569",
"789569 11 71779",
"71779 179 401",
"401 401 1"
] |
46015
|
5 9203
|
[
"46015 5 9203",
"9203 9203 1"
] |
3101709
|
3 13 79531
|
[
"3101709 3 1033903",
"1033903 13 79531",
"79531 79531 1"
] |
925855
|
5 7 7 3779
|
[
"925855 5 185171",
"185171 7 26453",
"26453 7 3779",
"3779 3779 1"
] |
3187787
|
3187787
|
[
"3187787 3187787 1"
] |
1940595
|
3 5 53 2441
|
[
"1940595 3 646865",
"646865 5 129373",
"129373 53 2441",
"2441 2441 1"
] |
1507002
|
2 3 7 53 677
|
[
"1507002 2 753501",
"753501 3 251167",
"251167 7 35881",
"35881 53 677",
"677 677 1"
] |
903176
|
2 2 2 17 29 229
|
[
"903176 2 451588",
"451588 2 225794",
"225794 2 112897",
"112897 17 6641",
"6641 29 229",
"229 229 1"
] |
267858
|
2 3 3 23 647
|
[
"267858 2 133929",
"133929 3 44643",
"44643 3 14881",
"14881 23 647",
"647 647 1"
] |
3270988
|
2 2 7 197 593
|
[
"3270988 2 1635494",
"1635494 2 817747",
"817747 7 116821",
"116821 197 593",
"593 593 1"
] |
4168214
|
2 2084107
|
[
"4168214 2 2084107",
"2084107 2084107 1"
] |
1530363
|
3 510121
|
[
"1530363 3 510121",
"510121 510121 1"
] |
3550058
|
2 31 57259
|
[
"3550058 2 1775029",
"1775029 31 57259",
"57259 57259 1"
] |
3093676
|
2 2 31 61 409
|
[
"3093676 2 1546838",
"1546838 2 773419",
"773419 31 24949",
"24949 61 409",
"409 409 1"
] |
2173464
|
2 2 2 3 3 30187
|
[
"2173464 2 1086732",
"1086732 2 543366",
"543366 2 271683",
"271683 3 90561",
"90561 3 30187",
"30187 30187 1"
] |
4039254
|
2 3 3 3 131 571
|
[
"4039254 2 2019627",
"2019627 3 673209",
"673209 3 224403",
"224403 3 74801",
"74801 131 571",
"571 571 1"
] |
4264130
|
2 5 13 32801
|
[
"4264130 2 2132065",
"2132065 5 426413",
"426413 13 32801",
"32801 32801 1"
] |
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