input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
---|---|---|
3537865
|
5 707573
|
[
"3537865 5 707573",
"707573 707573 1"
] |
838252
|
2 2 209563
|
[
"838252 2 419126",
"419126 2 209563",
"209563 209563 1"
] |
3423549
|
3 71 16073
|
[
"3423549 3 1141183",
"1141183 71 16073",
"16073 16073 1"
] |
2626777
|
2626777
|
[
"2626777 2626777 1"
] |
3678431
|
3678431
|
[
"3678431 3678431 1"
] |
4818083
|
317 15199
|
[
"4818083 317 15199",
"15199 15199 1"
] |
1085530
|
2 5 108553
|
[
"1085530 2 542765",
"542765 5 108553",
"108553 108553 1"
] |
2960739
|
3 3 3 53 2069
|
[
"2960739 3 986913",
"986913 3 328971",
"328971 3 109657",
"109657 53 2069",
"2069 2069 1"
] |
3250457
|
7 464351
|
[
"3250457 7 464351",
"464351 464351 1"
] |
2998928
|
2 2 2 2 187433
|
[
"2998928 2 1499464",
"1499464 2 749732",
"749732 2 374866",
"374866 2 187433",
"187433 187433 1"
] |
1417262
|
2 7 11 9203
|
[
"1417262 2 708631",
"708631 7 101233",
"101233 11 9203",
"9203 9203 1"
] |
4864255
|
5 11 59 1499
|
[
"4864255 5 972851",
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"88441 59 1499",
"1499 1499 1"
] |
417592
|
2 2 2 7 7457
|
[
"417592 2 208796",
"208796 2 104398",
"104398 2 52199",
"52199 7 7457",
"7457 7457 1"
] |
4066435
|
5 813287
|
[
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3538015
|
5 13 13 53 79
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[
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4384185
|
3 5 13 22483
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4478631
|
3 59 25303
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[
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3720473
|
47 79159
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[
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1803534
|
2 3 300589
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[
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1385209
|
7 197887
|
[
"1385209 7 197887",
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] |
2737361
|
11 248851
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[
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1856505
|
3 5 7 17681
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[
"1856505 3 618835",
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2010239
|
7 11 26107
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[
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2104629
|
3 191 3673
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[
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2051345
|
5 83 4943
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[
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859033
|
7 122719
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[
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643962
|
2 3 11 11 887
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[
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415427
|
415427
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[
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1315348
|
2 2 328837
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[
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1482864
|
2 2 2 2 3 30893
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[
"1482864 2 741432",
"741432 2 370716",
"370716 2 185358",
"185358 2 92679",
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] |
1535579
|
29 52951
|
[
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] |
41776
|
2 2 2 2 7 373
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[
"41776 2 20888",
"20888 2 10444",
"10444 2 5222",
"5222 2 2611",
"2611 7 373",
"373 373 1"
] |
2316368
|
2 2 2 2 144773
|
[
"2316368 2 1158184",
"1158184 2 579092",
"579092 2 289546",
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"144773 144773 1"
] |
4018468
|
2 2 23 31 1409
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[
"4018468 2 2009234",
"2009234 2 1004617",
"1004617 23 43679",
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] |
4095268
|
2 2 683 1499
|
[
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"2047634 2 1023817",
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] |
4612202
|
2 7 17 19379
|
[
"4612202 2 2306101",
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] |
2422030
|
2 5 13 31 601
|
[
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"242203 13 18631",
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"601 601 1"
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24071
|
24071
|
[
"24071 24071 1"
] |
3574009
|
751 4759
|
[
"3574009 751 4759",
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] |
730758
|
2 3 7 127 137
|
[
"730758 2 365379",
"365379 3 121793",
"121793 7 17399",
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"137 137 1"
] |
711937
|
711937
|
[
"711937 711937 1"
] |
302664
|
2 2 2 3 12611
|
[
"302664 2 151332",
"151332 2 75666",
"75666 2 37833",
"37833 3 12611",
"12611 12611 1"
] |
1618500
|
2 2 3 5 5 5 13 83
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[
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"404625 3 134875",
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754186
|
2 19 89 223
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[
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3803326
|
2 23 89 929
|
[
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] |
3286848
|
2 2 2 2 2 2 3 17 19 53
|
[
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"205428 2 102714",
"102714 2 51357",
"51357 3 17119",
"17119 17 1007",
"1007 19 53",
"53 53 1"
] |
2309620
|
2 2 5 17 6793
|
[
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] |
550982
|
2 275491
|
[
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] |
746392
|
2 2 2 79 1181
|
[
"746392 2 373196",
"373196 2 186598",
"186598 2 93299",
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] |
2939590
|
2 5 61 61 79
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[
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] |
1265749
|
887 1427
|
[
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] |
3207374
|
2 47 149 229
|
[
"3207374 2 1603687",
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] |
2614436
|
2 2 11 59419
|
[
"2614436 2 1307218",
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] |
1071179
|
23 46573
|
[
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] |
2856171
|
3 952057
|
[
"2856171 3 952057",
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] |
759226
|
2 13 29201
|
[
"759226 2 379613",
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] |
1485037
|
1485037
|
[
"1485037 1485037 1"
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3274640
|
2 2 2 2 5 40933
|
[
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"818660 2 409330",
"409330 2 204665",
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] |
529837
|
7 7 11 983
|
[
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] |
58824
|
2 2 2 3 3 19 43
|
[
"58824 2 29412",
"29412 2 14706",
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"7353 3 2451",
"2451 3 817",
"817 19 43",
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] |
3311295
|
3 5 13 16981
|
[
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] |
1531916
|
2 2 382979
|
[
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4202981
|
4202981
|
[
"4202981 4202981 1"
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4924819
|
19 259201
|
[
"4924819 19 259201",
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] |
2897909
|
7 7 59141
|
[
"2897909 7 413987",
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] |
354264
|
2 2 2 3 29 509
|
[
"354264 2 177132",
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] |
3125893
|
3125893
|
[
"3125893 3125893 1"
] |
4413632
|
2 2 2 2 2 2 68963
|
[
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"551704 2 275852",
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] |
1245191
|
1245191
|
[
"1245191 1245191 1"
] |
4581126
|
2 3 3 11 17 1361
|
[
"4581126 2 2290563",
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"763521 3 254507",
"254507 11 23137",
"23137 17 1361",
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] |
2578489
|
2578489
|
[
"2578489 2578489 1"
] |
3358080
|
2 2 2 2 2 2 2 3 3 5 11 53
|
[
"3358080 2 1679040",
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"52470 2 26235",
"26235 3 8745",
"8745 3 2915",
"2915 5 583",
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"53 53 1"
] |
2131550
|
2 5 5 89 479
|
[
"2131550 2 1065775",
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] |
4434658
|
2 2217329
|
[
"4434658 2 2217329",
"2217329 2217329 1"
] |
3305121
|
3 59 71 263
|
[
"3305121 3 1101707",
"1101707 59 18673",
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"263 263 1"
] |
2473699
|
467 5297
|
[
"2473699 467 5297",
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] |
1807080
|
2 2 2 3 5 11 37 37
|
[
"1807080 2 903540",
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"451770 2 225885",
"225885 3 75295",
"75295 5 15059",
"15059 11 1369",
"1369 37 37",
"37 37 1"
] |
4346382
|
2 3 233 3109
|
[
"4346382 2 2173191",
"2173191 3 724397",
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"3109 3109 1"
] |
2993849
|
19 157571
|
[
"2993849 19 157571",
"157571 157571 1"
] |
375157
|
375157
|
[
"375157 375157 1"
] |
3828664
|
2 2 2 7 7 9767
|
[
"3828664 2 1914332",
"1914332 2 957166",
"957166 2 478583",
"478583 7 68369",
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"9767 9767 1"
] |
377912
|
2 2 2 97 487
|
[
"377912 2 188956",
"188956 2 94478",
"94478 2 47239",
"47239 97 487",
"487 487 1"
] |
1748544
|
2 2 2 2 2 2 3 7 1301
|
[
"1748544 2 874272",
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"218568 2 109284",
"109284 2 54642",
"54642 2 27321",
"27321 3 9107",
"9107 7 1301",
"1301 1301 1"
] |
3845124
|
2 2 3 3 3 35603
|
[
"3845124 2 1922562",
"1922562 2 961281",
"961281 3 320427",
"320427 3 106809",
"106809 3 35603",
"35603 35603 1"
] |
4399931
|
4399931
|
[
"4399931 4399931 1"
] |
600920
|
2 2 2 5 83 181
|
[
"600920 2 300460",
"300460 2 150230",
"150230 2 75115",
"75115 5 15023",
"15023 83 181",
"181 181 1"
] |
2841581
|
23 123547
|
[
"2841581 23 123547",
"123547 123547 1"
] |
46172
|
2 2 7 17 97
|
[
"46172 2 23086",
"23086 2 11543",
"11543 7 1649",
"1649 17 97",
"97 97 1"
] |
2383756
|
2 2 595939
|
[
"2383756 2 1191878",
"1191878 2 595939",
"595939 595939 1"
] |
561895
|
5 109 1031
|
[
"561895 5 112379",
"112379 109 1031",
"1031 1031 1"
] |
984898
|
2 29 16981
|
[
"984898 2 492449",
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"16981 16981 1"
] |
4752242
|
2 11 19 11369
|
[
"4752242 2 2376121",
"2376121 11 216011",
"216011 19 11369",
"11369 11369 1"
] |
3783347
|
1213 3119
|
[
"3783347 1213 3119",
"3119 3119 1"
] |
1705107
|
3 443 1283
|
[
"1705107 3 568369",
"568369 443 1283",
"1283 1283 1"
] |
3838057
|
19 79 2557
|
[
"3838057 19 202003",
"202003 79 2557",
"2557 2557 1"
] |
1226280
|
2 2 2 3 5 11 929
|
[
"1226280 2 613140",
"613140 2 306570",
"306570 2 153285",
"153285 3 51095",
"51095 5 10219",
"10219 11 929",
"929 929 1"
] |
1165600
|
2 2 2 2 2 5 5 31 47
|
[
"1165600 2 582800",
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"291400 2 145700",
"145700 2 72850",
"72850 2 36425",
"36425 5 7285",
"7285 5 1457",
"1457 31 47",
"47 47 1"
] |
3209315
|
5 641863
|
[
"3209315 5 641863",
"641863 641863 1"
] |
3446065
|
5 7 98459
|
[
"3446065 5 689213",
"689213 7 98459",
"98459 98459 1"
] |
2356413
|
3 157 5003
|
[
"2356413 3 785471",
"785471 157 5003",
"5003 5003 1"
] |
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