input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
---|---|---|
1263999
|
3 11 38303
|
[
"1263999 3 421333",
"421333 11 38303",
"38303 38303 1"
] |
4413533
|
61 72353
|
[
"4413533 61 72353",
"72353 72353 1"
] |
935380
|
2 2 5 46769
|
[
"935380 2 467690",
"467690 2 233845",
"233845 5 46769",
"46769 46769 1"
] |
832350
|
2 3 5 5 31 179
|
[
"832350 2 416175",
"416175 3 138725",
"138725 5 27745",
"27745 5 5549",
"5549 31 179",
"179 179 1"
] |
2068473
|
3 11 19 3299
|
[
"2068473 3 689491",
"689491 11 62681",
"62681 19 3299",
"3299 3299 1"
] |
348843
|
3 11 11 31 31
|
[
"348843 3 116281",
"116281 11 10571",
"10571 11 961",
"961 31 31",
"31 31 1"
] |
887399
|
887399
|
[
"887399 887399 1"
] |
4698001
|
7 11 17 37 97
|
[
"4698001 7 671143",
"671143 11 61013",
"61013 17 3589",
"3589 37 97",
"97 97 1"
] |
4916298
|
2 3 17 157 307
|
[
"4916298 2 2458149",
"2458149 3 819383",
"819383 17 48199",
"48199 157 307",
"307 307 1"
] |
766760
|
2 2 2 5 29 661
|
[
"766760 2 383380",
"383380 2 191690",
"191690 2 95845",
"95845 5 19169",
"19169 29 661",
"661 661 1"
] |
2424361
|
23 105407
|
[
"2424361 23 105407",
"105407 105407 1"
] |
1722408
|
2 2 2 3 43 1669
|
[
"1722408 2 861204",
"861204 2 430602",
"430602 2 215301",
"215301 3 71767",
"71767 43 1669",
"1669 1669 1"
] |
3287220
|
2 2 3 5 54787
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[
"3287220 2 1643610",
"1643610 2 821805",
"821805 3 273935",
"273935 5 54787",
"54787 54787 1"
] |
3898863
|
3 3 433207
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[
"3898863 3 1299621",
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"433207 433207 1"
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2884520
|
2 2 2 5 37 1949
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[
"2884520 2 1442260",
"1442260 2 721130",
"721130 2 360565",
"360565 5 72113",
"72113 37 1949",
"1949 1949 1"
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3306269
|
3306269
|
[
"3306269 3306269 1"
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102317
|
102317
|
[
"102317 102317 1"
] |
2016408
|
2 2 2 3 84017
|
[
"2016408 2 1008204",
"1008204 2 504102",
"504102 2 252051",
"252051 3 84017",
"84017 84017 1"
] |
3552279
|
3 1184093
|
[
"3552279 3 1184093",
"1184093 1184093 1"
] |
3244202
|
2 13 124777
|
[
"3244202 2 1622101",
"1622101 13 124777",
"124777 124777 1"
] |
2371592
|
2 2 2 521 569
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[
"2371592 2 1185796",
"1185796 2 592898",
"592898 2 296449",
"296449 521 569",
"569 569 1"
] |
339812
|
2 2 11 7723
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[
"339812 2 169906",
"169906 2 84953",
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383761
|
7 73 751
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[
"383761 7 54823",
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308593
|
421 733
|
[
"308593 421 733",
"733 733 1"
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3497616
|
2 2 2 2 3 3 107 227
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[
"3497616 2 1748808",
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"874404 2 437202",
"437202 2 218601",
"218601 3 72867",
"72867 3 24289",
"24289 107 227",
"227 227 1"
] |
2925971
|
53 55207
|
[
"2925971 53 55207",
"55207 55207 1"
] |
4555549
|
43 105943
|
[
"4555549 43 105943",
"105943 105943 1"
] |
2114284
|
2 2 89 5939
|
[
"2114284 2 1057142",
"1057142 2 528571",
"528571 89 5939",
"5939 5939 1"
] |
61644
|
2 2 3 11 467
|
[
"61644 2 30822",
"30822 2 15411",
"15411 3 5137",
"5137 11 467",
"467 467 1"
] |
4038279
|
3 7 19 29 349
|
[
"4038279 3 1346093",
"1346093 7 192299",
"192299 19 10121",
"10121 29 349",
"349 349 1"
] |
4810300
|
2 2 5 5 11 4373
|
[
"4810300 2 2405150",
"2405150 2 1202575",
"1202575 5 240515",
"240515 5 48103",
"48103 11 4373",
"4373 4373 1"
] |
3325479
|
3 421 2633
|
[
"3325479 3 1108493",
"1108493 421 2633",
"2633 2633 1"
] |
4272641
|
23 185767
|
[
"4272641 23 185767",
"185767 185767 1"
] |
4780038
|
2 3 796673
|
[
"4780038 2 2390019",
"2390019 3 796673",
"796673 796673 1"
] |
2928909
|
3 976303
|
[
"2928909 3 976303",
"976303 976303 1"
] |
4339468
|
2 2 7 154981
|
[
"4339468 2 2169734",
"2169734 2 1084867",
"1084867 7 154981",
"154981 154981 1"
] |
1680313
|
1680313
|
[
"1680313 1680313 1"
] |
660896
|
2 2 2 2 2 19 1087
|
[
"660896 2 330448",
"330448 2 165224",
"165224 2 82612",
"82612 2 41306",
"41306 2 20653",
"20653 19 1087",
"1087 1087 1"
] |
1828839
|
3 609613
|
[
"1828839 3 609613",
"609613 609613 1"
] |
3182073
|
3 23 107 431
|
[
"3182073 3 1060691",
"1060691 23 46117",
"46117 107 431",
"431 431 1"
] |
3902346
|
2 3 3 7 30971
|
[
"3902346 2 1951173",
"1951173 3 650391",
"650391 3 216797",
"216797 7 30971",
"30971 30971 1"
] |
3173233
|
7 227 1997
|
[
"3173233 7 453319",
"453319 227 1997",
"1997 1997 1"
] |
1836284
|
2 2 103 4457
|
[
"1836284 2 918142",
"918142 2 459071",
"459071 103 4457",
"4457 4457 1"
] |
3579182
|
2 19 131 719
|
[
"3579182 2 1789591",
"1789591 19 94189",
"94189 131 719",
"719 719 1"
] |
572884
|
2 2 13 23 479
|
[
"572884 2 286442",
"286442 2 143221",
"143221 13 11017",
"11017 23 479",
"479 479 1"
] |
4816822
|
2 83 29017
|
[
"4816822 2 2408411",
"2408411 83 29017",
"29017 29017 1"
] |
997218
|
2 3 3 3 59 313
|
[
"997218 2 498609",
"498609 3 166203",
"166203 3 55401",
"55401 3 18467",
"18467 59 313",
"313 313 1"
] |
2522624
|
2 2 2 2 2 2 2 2 2 13 379
|
[
"2522624 2 1261312",
"1261312 2 630656",
"630656 2 315328",
"315328 2 157664",
"157664 2 78832",
"78832 2 39416",
"39416 2 19708",
"19708 2 9854",
"9854 2 4927",
"4927 13 379",
"379 379 1"
] |
1495038
|
2 3 67 3719
|
[
"1495038 2 747519",
"747519 3 249173",
"249173 67 3719",
"3719 3719 1"
] |
2099790
|
2 3 3 3 5 7 11 101
|
[
"2099790 2 1049895",
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"349965 3 116655",
"116655 3 38885",
"38885 5 7777",
"7777 7 1111",
"1111 11 101",
"101 101 1"
] |
2170346
|
2 37 139 211
|
[
"2170346 2 1085173",
"1085173 37 29329",
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"211 211 1"
] |
1059015
|
3 5 17 4153
|
[
"1059015 3 353005",
"353005 5 70601",
"70601 17 4153",
"4153 4153 1"
] |
153122
|
2 76561
|
[
"153122 2 76561",
"76561 76561 1"
] |
253064
|
2 2 2 7 4519
|
[
"253064 2 126532",
"126532 2 63266",
"63266 2 31633",
"31633 7 4519",
"4519 4519 1"
] |
483449
|
43 11243
|
[
"483449 43 11243",
"11243 11243 1"
] |
3046942
|
2 1171 1301
|
[
"3046942 2 1523471",
"1523471 1171 1301",
"1301 1301 1"
] |
3542433
|
3 1180811
|
[
"3542433 3 1180811",
"1180811 1180811 1"
] |
4327548
|
2 2 3 157 2297
|
[
"4327548 2 2163774",
"2163774 2 1081887",
"1081887 3 360629",
"360629 157 2297",
"2297 2297 1"
] |
1830487
|
97 113 167
|
[
"1830487 97 18871",
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"167 167 1"
] |
951491
|
951491
|
[
"951491 951491 1"
] |
1254417
|
3 257 1627
|
[
"1254417 3 418139",
"418139 257 1627",
"1627 1627 1"
] |
2223156
|
2 2 3 13 14251
|
[
"2223156 2 1111578",
"1111578 2 555789",
"555789 3 185263",
"185263 13 14251",
"14251 14251 1"
] |
3990663
|
3 3 443407
|
[
"3990663 3 1330221",
"1330221 3 443407",
"443407 443407 1"
] |
2243087
|
7 11 29131
|
[
"2243087 7 320441",
"320441 11 29131",
"29131 29131 1"
] |
4071863
|
491 8293
|
[
"4071863 491 8293",
"8293 8293 1"
] |
493719
|
3 199 827
|
[
"493719 3 164573",
"164573 199 827",
"827 827 1"
] |
3577821
|
3 13 199 461
|
[
"3577821 3 1192607",
"1192607 13 91739",
"91739 199 461",
"461 461 1"
] |
1235882
|
2 23 67 401
|
[
"1235882 2 617941",
"617941 23 26867",
"26867 67 401",
"401 401 1"
] |
1180670
|
2 5 37 3191
|
[
"1180670 2 590335",
"590335 5 118067",
"118067 37 3191",
"3191 3191 1"
] |
1818577
|
1818577
|
[
"1818577 1818577 1"
] |
4244099
|
4244099
|
[
"4244099 4244099 1"
] |
2198540
|
2 2 5 37 2971
|
[
"2198540 2 1099270",
"1099270 2 549635",
"549635 5 109927",
"109927 37 2971",
"2971 2971 1"
] |
3021196
|
2 2 103 7333
|
[
"3021196 2 1510598",
"1510598 2 755299",
"755299 103 7333",
"7333 7333 1"
] |
938380
|
2 2 5 46919
|
[
"938380 2 469190",
"469190 2 234595",
"234595 5 46919",
"46919 46919 1"
] |
2484126
|
2 3 3 138007
|
[
"2484126 2 1242063",
"1242063 3 414021",
"414021 3 138007",
"138007 138007 1"
] |
1504054
|
2 43 17489
|
[
"1504054 2 752027",
"752027 43 17489",
"17489 17489 1"
] |
433263
|
3 139 1039
|
[
"433263 3 144421",
"144421 139 1039",
"1039 1039 1"
] |
2171384
|
2 2 2 23 11801
|
[
"2171384 2 1085692",
"1085692 2 542846",
"542846 2 271423",
"271423 23 11801",
"11801 11801 1"
] |
288038
|
2 59 2441
|
[
"288038 2 144019",
"144019 59 2441",
"2441 2441 1"
] |
4516590
|
2 3 5 13 37 313
|
[
"4516590 2 2258295",
"2258295 3 752765",
"752765 5 150553",
"150553 13 11581",
"11581 37 313",
"313 313 1"
] |
136744
|
2 2 2 17093
|
[
"136744 2 68372",
"68372 2 34186",
"34186 2 17093",
"17093 17093 1"
] |
261943
|
11 23813
|
[
"261943 11 23813",
"23813 23813 1"
] |
2540012
|
2 2 635003
|
[
"2540012 2 1270006",
"1270006 2 635003",
"635003 635003 1"
] |
3329727
|
3 1109909
|
[
"3329727 3 1109909",
"1109909 1109909 1"
] |
1381814
|
2 7 89 1109
|
[
"1381814 2 690907",
"690907 7 98701",
"98701 89 1109",
"1109 1109 1"
] |
1680546
|
2 3 7 40013
|
[
"1680546 2 840273",
"840273 3 280091",
"280091 7 40013",
"40013 40013 1"
] |
37278
|
2 3 3 19 109
|
[
"37278 2 18639",
"18639 3 6213",
"6213 3 2071",
"2071 19 109",
"109 109 1"
] |
4857740
|
2 2 5 242887
|
[
"4857740 2 2428870",
"2428870 2 1214435",
"1214435 5 242887",
"242887 242887 1"
] |
1883711
|
739 2549
|
[
"1883711 739 2549",
"2549 2549 1"
] |
3186479
|
41 77719
|
[
"3186479 41 77719",
"77719 77719 1"
] |
2981416
|
2 2 2 372677
|
[
"2981416 2 1490708",
"1490708 2 745354",
"745354 2 372677",
"372677 372677 1"
] |
4201067
|
13 89 3631
|
[
"4201067 13 323159",
"323159 89 3631",
"3631 3631 1"
] |
1928702
|
2 964351
|
[
"1928702 2 964351",
"964351 964351 1"
] |
2076329
|
17 37 3301
|
[
"2076329 17 122137",
"122137 37 3301",
"3301 3301 1"
] |
3314752
|
2 2 2 2 2 2 7 7 7 151
|
[
"3314752 2 1657376",
"1657376 2 828688",
"828688 2 414344",
"414344 2 207172",
"207172 2 103586",
"103586 2 51793",
"51793 7 7399",
"7399 7 1057",
"1057 7 151",
"151 151 1"
] |
2938507
|
11 13 20549
|
[
"2938507 11 267137",
"267137 13 20549",
"20549 20549 1"
] |
2090941
|
1201 1741
|
[
"2090941 1201 1741",
"1741 1741 1"
] |
2976408
|
2 2 2 3 3 67 617
|
[
"2976408 2 1488204",
"1488204 2 744102",
"744102 2 372051",
"372051 3 124017",
"124017 3 41339",
"41339 67 617",
"617 617 1"
] |
3990008
|
2 2 2 11 45341
|
[
"3990008 2 1995004",
"1995004 2 997502",
"997502 2 498751",
"498751 11 45341",
"45341 45341 1"
] |
2009565
|
3 3 5 44657
|
[
"2009565 3 669855",
"669855 3 223285",
"223285 5 44657",
"44657 44657 1"
] |
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