input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
---|---|---|
2885678
|
2 607 2377
|
[
"2885678 2 1442839",
"1442839 607 2377",
"2377 2377 1"
] |
489457
|
489457
|
[
"489457 489457 1"
] |
255307
|
13 41 479
|
[
"255307 13 19639",
"19639 41 479",
"479 479 1"
] |
1953029
|
13 19 7907
|
[
"1953029 13 150233",
"150233 19 7907",
"7907 7907 1"
] |
4366222
|
2 7 37 8429
|
[
"4366222 2 2183111",
"2183111 7 311873",
"311873 37 8429",
"8429 8429 1"
] |
940492
|
2 2 7 33589
|
[
"940492 2 470246",
"470246 2 235123",
"235123 7 33589",
"33589 33589 1"
] |
3335807
|
3335807
|
[
"3335807 3335807 1"
] |
3200648
|
2 2 2 11 37 983
|
[
"3200648 2 1600324",
"1600324 2 800162",
"800162 2 400081",
"400081 11 36371",
"36371 37 983",
"983 983 1"
] |
1348236
|
2 2 3 3 17 2203
|
[
"1348236 2 674118",
"674118 2 337059",
"337059 3 112353",
"112353 3 37451",
"37451 17 2203",
"2203 2203 1"
] |
3501516
|
2 2 3 109 2677
|
[
"3501516 2 1750758",
"1750758 2 875379",
"875379 3 291793",
"291793 109 2677",
"2677 2677 1"
] |
4506561
|
3 3 500729
|
[
"4506561 3 1502187",
"1502187 3 500729",
"500729 500729 1"
] |
1848018
|
2 3 308003
|
[
"1848018 2 924009",
"924009 3 308003",
"308003 308003 1"
] |
2400185
|
5 29 16553
|
[
"2400185 5 480037",
"480037 29 16553",
"16553 16553 1"
] |
2145444
|
2 2 3 7 25541
|
[
"2145444 2 1072722",
"1072722 2 536361",
"536361 3 178787",
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"25541 25541 1"
] |
4130079
|
3 1376693
|
[
"4130079 3 1376693",
"1376693 1376693 1"
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4744034
|
2 19 131 953
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[
"4744034 2 2372017",
"2372017 19 124843",
"124843 131 953",
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] |
3920782
|
2 1960391
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[
"3920782 2 1960391",
"1960391 1960391 1"
] |
789769
|
17 46457
|
[
"789769 17 46457",
"46457 46457 1"
] |
3044054
|
2 13 17 71 97
|
[
"3044054 2 1522027",
"1522027 13 117079",
"117079 17 6887",
"6887 71 97",
"97 97 1"
] |
4116040
|
2 2 2 5 17 6053
|
[
"4116040 2 2058020",
"2058020 2 1029010",
"1029010 2 514505",
"514505 5 102901",
"102901 17 6053",
"6053 6053 1"
] |
3840371
|
1087 3533
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[
"3840371 1087 3533",
"3533 3533 1"
] |
2259794
|
2 1129897
|
[
"2259794 2 1129897",
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] |
3849772
|
2 2 419 2297
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[
"3849772 2 1924886",
"1924886 2 962443",
"962443 419 2297",
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] |
4559637
|
3 797 1907
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[
"4559637 3 1519879",
"1519879 797 1907",
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] |
2620662
|
2 3 11 59 673
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[
"2620662 2 1310331",
"1310331 3 436777",
"436777 11 39707",
"39707 59 673",
"673 673 1"
] |
2436856
|
2 2 2 47 6481
|
[
"2436856 2 1218428",
"1218428 2 609214",
"609214 2 304607",
"304607 47 6481",
"6481 6481 1"
] |
4176033
|
3 17 81883
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[
"4176033 3 1392011",
"1392011 17 81883",
"81883 81883 1"
] |
1077747
|
3 11 11 2969
|
[
"1077747 3 359249",
"359249 11 32659",
"32659 11 2969",
"2969 2969 1"
] |
3360508
|
2 2 227 3701
|
[
"3360508 2 1680254",
"1680254 2 840127",
"840127 227 3701",
"3701 3701 1"
] |
3855239
|
3855239
|
[
"3855239 3855239 1"
] |
2836511
|
607 4673
|
[
"2836511 607 4673",
"4673 4673 1"
] |
840001
|
71 11831
|
[
"840001 71 11831",
"11831 11831 1"
] |
3729741
|
3 1069 1163
|
[
"3729741 3 1243247",
"1243247 1069 1163",
"1163 1163 1"
] |
774970
|
2 5 7 11071
|
[
"774970 2 387485",
"387485 5 77497",
"77497 7 11071",
"11071 11071 1"
] |
1483313
|
13 13 67 131
|
[
"1483313 13 114101",
"114101 13 8777",
"8777 67 131",
"131 131 1"
] |
131536
|
2 2 2 2 8221
|
[
"131536 2 65768",
"65768 2 32884",
"32884 2 16442",
"16442 2 8221",
"8221 8221 1"
] |
4513892
|
2 2 101 11173
|
[
"4513892 2 2256946",
"2256946 2 1128473",
"1128473 101 11173",
"11173 11173 1"
] |
1718725
|
5 5 68749
|
[
"1718725 5 343745",
"343745 5 68749",
"68749 68749 1"
] |
1446120
|
2 2 2 3 3 3 5 13 103
|
[
"1446120 2 723060",
"723060 2 361530",
"361530 2 180765",
"180765 3 60255",
"60255 3 20085",
"20085 3 6695",
"6695 5 1339",
"1339 13 103",
"103 103 1"
] |
1918699
|
941 2039
|
[
"1918699 941 2039",
"2039 2039 1"
] |
3562948
|
2 2 890737
|
[
"3562948 2 1781474",
"1781474 2 890737",
"890737 890737 1"
] |
450057
|
3 41 3659
|
[
"450057 3 150019",
"150019 41 3659",
"3659 3659 1"
] |
2553220
|
2 2 5 19 6719
|
[
"2553220 2 1276610",
"1276610 2 638305",
"638305 5 127661",
"127661 19 6719",
"6719 6719 1"
] |
907425
|
3 3 5 5 37 109
|
[
"907425 3 302475",
"302475 3 100825",
"100825 5 20165",
"20165 5 4033",
"4033 37 109",
"109 109 1"
] |
1355934
|
2 3 225989
|
[
"1355934 2 677967",
"677967 3 225989",
"225989 225989 1"
] |
1267502
|
2 633751
|
[
"1267502 2 633751",
"633751 633751 1"
] |
4133781
|
3 3 3 283 541
|
[
"4133781 3 1377927",
"1377927 3 459309",
"459309 3 153103",
"153103 283 541",
"541 541 1"
] |
449709
|
3 13 13 887
|
[
"449709 3 149903",
"149903 13 11531",
"11531 13 887",
"887 887 1"
] |
3987541
|
919 4339
|
[
"3987541 919 4339",
"4339 4339 1"
] |
367361
|
67 5483
|
[
"367361 67 5483",
"5483 5483 1"
] |
1624389
|
3 13 41651
|
[
"1624389 3 541463",
"541463 13 41651",
"41651 41651 1"
] |
1788527
|
13 13 19 557
|
[
"1788527 13 137579",
"137579 13 10583",
"10583 19 557",
"557 557 1"
] |
2055034
|
2 691 1487
|
[
"2055034 2 1027517",
"1027517 691 1487",
"1487 1487 1"
] |
2646579
|
3 13 79 859
|
[
"2646579 3 882193",
"882193 13 67861",
"67861 79 859",
"859 859 1"
] |
2634670
|
2 5 487 541
|
[
"2634670 2 1317335",
"1317335 5 263467",
"263467 487 541",
"541 541 1"
] |
1266913
|
1266913
|
[
"1266913 1266913 1"
] |
3153098
|
2 13 173 701
|
[
"3153098 2 1576549",
"1576549 13 121273",
"121273 173 701",
"701 701 1"
] |
4558424
|
2 2 2 13 53 827
|
[
"4558424 2 2279212",
"2279212 2 1139606",
"1139606 2 569803",
"569803 13 43831",
"43831 53 827",
"827 827 1"
] |
4817979
|
3 3 257 2083
|
[
"4817979 3 1605993",
"1605993 3 535331",
"535331 257 2083",
"2083 2083 1"
] |
3619546
|
2 7 258539
|
[
"3619546 2 1809773",
"1809773 7 258539",
"258539 258539 1"
] |
2653217
|
7 19 19949
|
[
"2653217 7 379031",
"379031 19 19949",
"19949 19949 1"
] |
2918079
|
3 3 3 23 37 127
|
[
"2918079 3 972693",
"972693 3 324231",
"324231 3 108077",
"108077 23 4699",
"4699 37 127",
"127 127 1"
] |
4750965
|
3 3 5 71 1487
|
[
"4750965 3 1583655",
"1583655 3 527885",
"527885 5 105577",
"105577 71 1487",
"1487 1487 1"
] |
4255623
|
3 3 472847
|
[
"4255623 3 1418541",
"1418541 3 472847",
"472847 472847 1"
] |
4921632
|
2 2 2 2 2 3 3 23 743
|
[
"4921632 2 2460816",
"2460816 2 1230408",
"1230408 2 615204",
"615204 2 307602",
"307602 2 153801",
"153801 3 51267",
"51267 3 17089",
"17089 23 743",
"743 743 1"
] |
1033614
|
2 3 3 3 19141
|
[
"1033614 2 516807",
"516807 3 172269",
"172269 3 57423",
"57423 3 19141",
"19141 19141 1"
] |
3523445
|
5 487 1447
|
[
"3523445 5 704689",
"704689 487 1447",
"1447 1447 1"
] |
1086845
|
5 217369
|
[
"1086845 5 217369",
"217369 217369 1"
] |
1565390
|
2 5 156539
|
[
"1565390 2 782695",
"782695 5 156539",
"156539 156539 1"
] |
1400802
|
2 3 13 17959
|
[
"1400802 2 700401",
"700401 3 233467",
"233467 13 17959",
"17959 17959 1"
] |
25738
|
2 17 757
|
[
"25738 2 12869",
"12869 17 757",
"757 757 1"
] |
2724741
|
3 3 23 13163
|
[
"2724741 3 908247",
"908247 3 302749",
"302749 23 13163",
"13163 13163 1"
] |
2046848
|
2 2 2 2 2 2 2 15991
|
[
"2046848 2 1023424",
"1023424 2 511712",
"511712 2 255856",
"255856 2 127928",
"127928 2 63964",
"63964 2 31982",
"31982 2 15991",
"15991 15991 1"
] |
4515594
|
2 3 149 5051
|
[
"4515594 2 2257797",
"2257797 3 752599",
"752599 149 5051",
"5051 5051 1"
] |
3437237
|
443 7759
|
[
"3437237 443 7759",
"7759 7759 1"
] |
2176014
|
2 3 31 11699
|
[
"2176014 2 1088007",
"1088007 3 362669",
"362669 31 11699",
"11699 11699 1"
] |
4985260
|
2 2 5 7 7 5087
|
[
"4985260 2 2492630",
"2492630 2 1246315",
"1246315 5 249263",
"249263 7 35609",
"35609 7 5087",
"5087 5087 1"
] |
2791304
|
2 2 2 383 911
|
[
"2791304 2 1395652",
"1395652 2 697826",
"697826 2 348913",
"348913 383 911",
"911 911 1"
] |
3504373
|
3504373
|
[
"3504373 3504373 1"
] |
1298143
|
7 11 23 733
|
[
"1298143 7 185449",
"185449 11 16859",
"16859 23 733",
"733 733 1"
] |
4240930
|
2 5 424093
|
[
"4240930 2 2120465",
"2120465 5 424093",
"424093 424093 1"
] |
4372113
|
3 1457371
|
[
"4372113 3 1457371",
"1457371 1457371 1"
] |
2203008
|
2 2 2 2 2 2 2 3 5737
|
[
"2203008 2 1101504",
"1101504 2 550752",
"550752 2 275376",
"275376 2 137688",
"137688 2 68844",
"68844 2 34422",
"34422 2 17211",
"17211 3 5737",
"5737 5737 1"
] |
1067386
|
2 533693
|
[
"1067386 2 533693",
"533693 533693 1"
] |
2945680
|
2 2 2 2 5 36821
|
[
"2945680 2 1472840",
"1472840 2 736420",
"736420 2 368210",
"368210 2 184105",
"184105 5 36821",
"36821 36821 1"
] |
4996145
|
5 7 11 19 683
|
[
"4996145 5 999229",
"999229 7 142747",
"142747 11 12977",
"12977 19 683",
"683 683 1"
] |
3083334
|
2 3 23 22343
|
[
"3083334 2 1541667",
"1541667 3 513889",
"513889 23 22343",
"22343 22343 1"
] |
1060008
|
2 2 2 3 29 1523
|
[
"1060008 2 530004",
"530004 2 265002",
"265002 2 132501",
"132501 3 44167",
"44167 29 1523",
"1523 1523 1"
] |
4853966
|
2 13 23 8117
|
[
"4853966 2 2426983",
"2426983 13 186691",
"186691 23 8117",
"8117 8117 1"
] |
2113020
|
2 2 3 3 3 5 7 13 43
|
[
"2113020 2 1056510",
"1056510 2 528255",
"528255 3 176085",
"176085 3 58695",
"58695 3 19565",
"19565 5 3913",
"3913 7 559",
"559 13 43",
"43 43 1"
] |
1364301
|
3 3 17 37 241
|
[
"1364301 3 454767",
"454767 3 151589",
"151589 17 8917",
"8917 37 241",
"241 241 1"
] |
1494248
|
2 2 2 7 26683
|
[
"1494248 2 747124",
"747124 2 373562",
"373562 2 186781",
"186781 7 26683",
"26683 26683 1"
] |
4046336
|
2 2 2 2 2 2 2 2 2 7 1129
|
[
"4046336 2 2023168",
"2023168 2 1011584",
"1011584 2 505792",
"505792 2 252896",
"252896 2 126448",
"126448 2 63224",
"63224 2 31612",
"31612 2 15806",
"15806 2 7903",
"7903 7 1129",
"1129 1129 1"
] |
1606564
|
2 2 19 21139
|
[
"1606564 2 803282",
"803282 2 401641",
"401641 19 21139",
"21139 21139 1"
] |
3647235
|
3 5 243149
|
[
"3647235 3 1215745",
"1215745 5 243149",
"243149 243149 1"
] |
506796
|
2 2 3 157 269
|
[
"506796 2 253398",
"253398 2 126699",
"126699 3 42233",
"42233 157 269",
"269 269 1"
] |
3046846
|
2 11 138493
|
[
"3046846 2 1523423",
"1523423 11 138493",
"138493 138493 1"
] |
1813425
|
3 5 5 24179
|
[
"1813425 3 604475",
"604475 5 120895",
"120895 5 24179",
"24179 24179 1"
] |
720988
|
2 2 180247
|
[
"720988 2 360494",
"360494 2 180247",
"180247 180247 1"
] |
914393
|
251 3643
|
[
"914393 251 3643",
"3643 3643 1"
] |
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