input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
|---|---|---|
2623210
|
2 5 262321
|
[
"2623210 2 1311605",
"1311605 5 262321",
"262321 262321 1"
] |
2760809
|
1103 2503
|
[
"2760809 1103 2503",
"2503 2503 1"
] |
4856604
|
2 2 3 47 79 109
|
[
"4856604 2 2428302",
"2428302 2 1214151",
"1214151 3 404717",
"404717 47 8611",
"8611 79 109",
"109 109 1"
] |
4967541
|
3 3 3 251 733
|
[
"4967541 3 1655847",
"1655847 3 551949",
"551949 3 183983",
"183983 251 733",
"733 733 1"
] |
900828
|
2 2 3 3 3 19 439
|
[
"900828 2 450414",
"450414 2 225207",
"225207 3 75069",
"75069 3 25023",
"25023 3 8341",
"8341 19 439",
"439 439 1"
] |
1158231
|
3 29 13313
|
[
"1158231 3 386077",
"386077 29 13313",
"13313 13313 1"
] |
3642044
|
2 2 7 130073
|
[
"3642044 2 1821022",
"1821022 2 910511",
"910511 7 130073",
"130073 130073 1"
] |
3070724
|
2 2 767681
|
[
"3070724 2 1535362",
"1535362 2 767681",
"767681 767681 1"
] |
3056242
|
2 7 199 1097
|
[
"3056242 2 1528121",
"1528121 7 218303",
"218303 199 1097",
"1097 1097 1"
] |
4666490
|
2 5 466649
|
[
"4666490 2 2333245",
"2333245 5 466649",
"466649 466649 1"
] |
4342238
|
2 2171119
|
[
"4342238 2 2171119",
"2171119 2171119 1"
] |
2324676
|
2 2 3 193723
|
[
"2324676 2 1162338",
"1162338 2 581169",
"581169 3 193723",
"193723 193723 1"
] |
4431289
|
4431289
|
[
"4431289 4431289 1"
] |
2765946
|
2 3 460991
|
[
"2765946 2 1382973",
"1382973 3 460991",
"460991 460991 1"
] |
2011184
|
2 2 2 2 7 17957
|
[
"2011184 2 1005592",
"1005592 2 502796",
"502796 2 251398",
"251398 2 125699",
"125699 7 17957",
"17957 17957 1"
] |
2752482
|
2 3 458747
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[
"2752482 2 1376241",
"1376241 3 458747",
"458747 458747 1"
] |
3748389
|
3 61 20483
|
[
"3748389 3 1249463",
"1249463 61 20483",
"20483 20483 1"
] |
1862526
|
2 3 53 5857
|
[
"1862526 2 931263",
"931263 3 310421",
"310421 53 5857",
"5857 5857 1"
] |
3451634
|
2 353 4889
|
[
"3451634 2 1725817",
"1725817 353 4889",
"4889 4889 1"
] |
3825556
|
2 2 7 317 431
|
[
"3825556 2 1912778",
"1912778 2 956389",
"956389 7 136627",
"136627 317 431",
"431 431 1"
] |
1348109
|
7 192587
|
[
"1348109 7 192587",
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] |
1515619
|
7 7 30931
|
[
"1515619 7 216517",
"216517 7 30931",
"30931 30931 1"
] |
1239288
|
2 2 2 3 51637
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[
"1239288 2 619644",
"619644 2 309822",
"309822 2 154911",
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"51637 51637 1"
] |
4096390
|
2 5 409639
|
[
"4096390 2 2048195",
"2048195 5 409639",
"409639 409639 1"
] |
2010190
|
2 5 7 13 47 47
|
[
"2010190 2 1005095",
"1005095 5 201019",
"201019 7 28717",
"28717 13 2209",
"2209 47 47",
"47 47 1"
] |
1859288
|
2 2 2 232411
|
[
"1859288 2 929644",
"929644 2 464822",
"464822 2 232411",
"232411 232411 1"
] |
1822303
|
7 260329
|
[
"1822303 7 260329",
"260329 260329 1"
] |
1900569
|
3 11 57593
|
[
"1900569 3 633523",
"633523 11 57593",
"57593 57593 1"
] |
1890921
|
3 630307
|
[
"1890921 3 630307",
"630307 630307 1"
] |
1702052
|
2 2 11 101 383
|
[
"1702052 2 851026",
"851026 2 425513",
"425513 11 38683",
"38683 101 383",
"383 383 1"
] |
3058634
|
2 277 5521
|
[
"3058634 2 1529317",
"1529317 277 5521",
"5521 5521 1"
] |
3587937
|
3 1195979
|
[
"3587937 3 1195979",
"1195979 1195979 1"
] |
822363
|
3 274121
|
[
"822363 3 274121",
"274121 274121 1"
] |
192869
|
19 10151
|
[
"192869 19 10151",
"10151 10151 1"
] |
601734
|
2 3 7 14327
|
[
"601734 2 300867",
"300867 3 100289",
"100289 7 14327",
"14327 14327 1"
] |
230666
|
2 29 41 97
|
[
"230666 2 115333",
"115333 29 3977",
"3977 41 97",
"97 97 1"
] |
4755669
|
3 1091 1453
|
[
"4755669 3 1585223",
"1585223 1091 1453",
"1453 1453 1"
] |
1192757
|
23 51859
|
[
"1192757 23 51859",
"51859 51859 1"
] |
4554604
|
2 2 19 59929
|
[
"4554604 2 2277302",
"2277302 2 1138651",
"1138651 19 59929",
"59929 59929 1"
] |
1560509
|
31 71 709
|
[
"1560509 31 50339",
"50339 71 709",
"709 709 1"
] |
2601527
|
17 199 769
|
[
"2601527 17 153031",
"153031 199 769",
"769 769 1"
] |
2985623
|
1709 1747
|
[
"2985623 1709 1747",
"1747 1747 1"
] |
469731
|
3 156577
|
[
"469731 3 156577",
"156577 156577 1"
] |
853616
|
2 2 2 2 31 1721
|
[
"853616 2 426808",
"426808 2 213404",
"213404 2 106702",
"106702 2 53351",
"53351 31 1721",
"1721 1721 1"
] |
3463672
|
2 2 2 432959
|
[
"3463672 2 1731836",
"1731836 2 865918",
"865918 2 432959",
"432959 432959 1"
] |
3152653
|
7 79 5701
|
[
"3152653 7 450379",
"450379 79 5701",
"5701 5701 1"
] |
4474953
|
3 3 3 7 23677
|
[
"4474953 3 1491651",
"1491651 3 497217",
"497217 3 165739",
"165739 7 23677",
"23677 23677 1"
] |
2649209
|
23 115183
|
[
"2649209 23 115183",
"115183 115183 1"
] |
206695
|
5 67 617
|
[
"206695 5 41339",
"41339 67 617",
"617 617 1"
] |
947192
|
2 2 2 118399
|
[
"947192 2 473596",
"473596 2 236798",
"236798 2 118399",
"118399 118399 1"
] |
1882323
|
3 3 209147
|
[
"1882323 3 627441",
"627441 3 209147",
"209147 209147 1"
] |
4814323
|
43 103 1087
|
[
"4814323 43 111961",
"111961 103 1087",
"1087 1087 1"
] |
4914353
|
79 62207
|
[
"4914353 79 62207",
"62207 62207 1"
] |
1968390
|
2 3 3 5 21871
|
[
"1968390 2 984195",
"984195 3 328065",
"328065 3 109355",
"109355 5 21871",
"21871 21871 1"
] |
4317492
|
2 2 3 127 2833
|
[
"4317492 2 2158746",
"2158746 2 1079373",
"1079373 3 359791",
"359791 127 2833",
"2833 2833 1"
] |
2854573
|
31 92083
|
[
"2854573 31 92083",
"92083 92083 1"
] |
4211945
|
5 263 3203
|
[
"4211945 5 842389",
"842389 263 3203",
"3203 3203 1"
] |
2210282
|
2 1105141
|
[
"2210282 2 1105141",
"1105141 1105141 1"
] |
3850341
|
3 11 11 10607
|
[
"3850341 3 1283447",
"1283447 11 116677",
"116677 11 10607",
"10607 10607 1"
] |
3602632
|
2 2 2 11 40939
|
[
"3602632 2 1801316",
"1801316 2 900658",
"900658 2 450329",
"450329 11 40939",
"40939 40939 1"
] |
371784
|
2 2 2 3 7 2213
|
[
"371784 2 185892",
"185892 2 92946",
"92946 2 46473",
"46473 3 15491",
"15491 7 2213",
"2213 2213 1"
] |
3482249
|
3482249
|
[
"3482249 3482249 1"
] |
1062488
|
2 2 2 7 18973
|
[
"1062488 2 531244",
"531244 2 265622",
"265622 2 132811",
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"18973 18973 1"
] |
3572347
|
31 115237
|
[
"3572347 31 115237",
"115237 115237 1"
] |
4255324
|
2 2 1063831
|
[
"4255324 2 2127662",
"2127662 2 1063831",
"1063831 1063831 1"
] |
2056707
|
3 3 228523
|
[
"2056707 3 685569",
"685569 3 228523",
"228523 228523 1"
] |
4797773
|
107 44839
|
[
"4797773 107 44839",
"44839 44839 1"
] |
1584854
|
2 383 2069
|
[
"1584854 2 792427",
"792427 383 2069",
"2069 2069 1"
] |
1039360
|
2 2 2 2 2 2 2 2 2 2 5 7 29
|
[
"1039360 2 519680",
"519680 2 259840",
"259840 2 129920",
"129920 2 64960",
"64960 2 32480",
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"16240 2 8120",
"8120 2 4060",
"4060 2 2030",
"2030 2 1015",
"1015 5 203",
"203 7 29",
"29 29 1"
] |
2265168
|
2 2 2 2 3 41 1151
|
[
"2265168 2 1132584",
"1132584 2 566292",
"566292 2 283146",
"283146 2 141573",
"141573 3 47191",
"47191 41 1151",
"1151 1151 1"
] |
4869797
|
79 61643
|
[
"4869797 79 61643",
"61643 61643 1"
] |
785371
|
439 1789
|
[
"785371 439 1789",
"1789 1789 1"
] |
3814625
|
5 5 5 30517
|
[
"3814625 5 762925",
"762925 5 152585",
"152585 5 30517",
"30517 30517 1"
] |
2103886
|
2 17 61879
|
[
"2103886 2 1051943",
"1051943 17 61879",
"61879 61879 1"
] |
64760
|
2 2 2 5 1619
|
[
"64760 2 32380",
"32380 2 16190",
"16190 2 8095",
"8095 5 1619",
"1619 1619 1"
] |
2538648
|
2 2 2 3 3 3 7 23 73
|
[
"2538648 2 1269324",
"1269324 2 634662",
"634662 2 317331",
"317331 3 105777",
"105777 3 35259",
"35259 3 11753",
"11753 7 1679",
"1679 23 73",
"73 73 1"
] |
1475062
|
2 737531
|
[
"1475062 2 737531",
"737531 737531 1"
] |
3165920
|
2 2 2 2 2 5 47 421
|
[
"3165920 2 1582960",
"1582960 2 791480",
"791480 2 395740",
"395740 2 197870",
"197870 2 98935",
"98935 5 19787",
"19787 47 421",
"421 421 1"
] |
4230391
|
11 384581
|
[
"4230391 11 384581",
"384581 384581 1"
] |
98538
|
2 3 11 1493
|
[
"98538 2 49269",
"49269 3 16423",
"16423 11 1493",
"1493 1493 1"
] |
2356398
|
2 3 3 3 11 3967
|
[
"2356398 2 1178199",
"1178199 3 392733",
"392733 3 130911",
"130911 3 43637",
"43637 11 3967",
"3967 3967 1"
] |
3304681
|
17 349 557
|
[
"3304681 17 194393",
"194393 349 557",
"557 557 1"
] |
3999057
|
3 1333019
|
[
"3999057 3 1333019",
"1333019 1333019 1"
] |
4986844
|
2 2 1246711
|
[
"4986844 2 2493422",
"2493422 2 1246711",
"1246711 1246711 1"
] |
4576072
|
2 2 2 97 5897
|
[
"4576072 2 2288036",
"2288036 2 1144018",
"1144018 2 572009",
"572009 97 5897",
"5897 5897 1"
] |
3244370
|
2 5 324437
|
[
"3244370 2 1622185",
"1622185 5 324437",
"324437 324437 1"
] |
2806868
|
2 2 43 16319
|
[
"2806868 2 1403434",
"1403434 2 701717",
"701717 43 16319",
"16319 16319 1"
] |
3284169
|
3 7 19 8231
|
[
"3284169 3 1094723",
"1094723 7 156389",
"156389 19 8231",
"8231 8231 1"
] |
3628917
|
3 3 23 47 373
|
[
"3628917 3 1209639",
"1209639 3 403213",
"403213 23 17531",
"17531 47 373",
"373 373 1"
] |
870886
|
2 71 6133
|
[
"870886 2 435443",
"435443 71 6133",
"6133 6133 1"
] |
3382394
|
2 617 2741
|
[
"3382394 2 1691197",
"1691197 617 2741",
"2741 2741 1"
] |
1986383
|
7 283769
|
[
"1986383 7 283769",
"283769 283769 1"
] |
1051760
|
2 2 2 2 5 13147
|
[
"1051760 2 525880",
"525880 2 262940",
"262940 2 131470",
"131470 2 65735",
"65735 5 13147",
"13147 13147 1"
] |
2149586
|
2 1013 1061
|
[
"2149586 2 1074793",
"1074793 1013 1061",
"1061 1061 1"
] |
1238607
|
3 3 137623
|
[
"1238607 3 412869",
"412869 3 137623",
"137623 137623 1"
] |
113126
|
2 13 19 229
|
[
"113126 2 56563",
"56563 13 4351",
"4351 19 229",
"229 229 1"
] |
525642
|
2 3 13 23 293
|
[
"525642 2 262821",
"262821 3 87607",
"87607 13 6739",
"6739 23 293",
"293 293 1"
] |
3645181
|
53 68777
|
[
"3645181 53 68777",
"68777 68777 1"
] |
3943724
|
2 2 241 4091
|
[
"3943724 2 1971862",
"1971862 2 985931",
"985931 241 4091",
"4091 4091 1"
] |
169255
|
5 33851
|
[
"169255 5 33851",
"33851 33851 1"
] |
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