input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
|---|---|---|
4889961
|
3 3 23 23623
|
[
"4889961 3 1629987",
"1629987 3 543329",
"543329 23 23623",
"23623 23623 1"
] |
2796477
|
3 19 71 691
|
[
"2796477 3 932159",
"932159 19 49061",
"49061 71 691",
"691 691 1"
] |
2751166
|
2 11 125053
|
[
"2751166 2 1375583",
"1375583 11 125053",
"125053 125053 1"
] |
3676327
|
3676327
|
[
"3676327 3676327 1"
] |
4590953
|
1867 2459
|
[
"4590953 1867 2459",
"2459 2459 1"
] |
3819280
|
2 2 2 2 5 47741
|
[
"3819280 2 1909640",
"1909640 2 954820",
"954820 2 477410",
"477410 2 238705",
"238705 5 47741",
"47741 47741 1"
] |
4745440
|
2 2 2 2 2 5 7 19 223
|
[
"4745440 2 2372720",
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"593180 2 296590",
"296590 2 148295",
"148295 5 29659",
"29659 7 4237",
"4237 19 223",
"223 223 1"
] |
2551089
|
3 431 1973
|
[
"2551089 3 850363",
"850363 431 1973",
"1973 1973 1"
] |
1286144
|
2 2 2 2 2 2 2 2 2 2 2 2 2 157
|
[
"1286144 2 643072",
"643072 2 321536",
"321536 2 160768",
"160768 2 80384",
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"40192 2 20096",
"20096 2 10048",
"10048 2 5024",
"5024 2 2512",
"2512 2 1256",
"1256 2 628",
"628 2 314",
"314 2 157",
"157 157 1"
] |
1917438
|
2 3 313 1021
|
[
"1917438 2 958719",
"958719 3 319573",
"319573 313 1021",
"1021 1021 1"
] |
4300711
|
17 252983
|
[
"4300711 17 252983",
"252983 252983 1"
] |
3290778
|
2 3 3 182821
|
[
"3290778 2 1645389",
"1645389 3 548463",
"548463 3 182821",
"182821 182821 1"
] |
859275
|
3 3 3 5 5 19 67
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[
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"95475 3 31825",
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"6365 5 1273",
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"67 67 1"
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2897971
|
2897971
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[
"2897971 2897971 1"
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1259110
|
2 5 37 41 83
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[
"1259110 2 629555",
"629555 5 125911",
"125911 37 3403",
"3403 41 83",
"83 83 1"
] |
728156
|
2 2 11 13 19 67
|
[
"728156 2 364078",
"364078 2 182039",
"182039 11 16549",
"16549 13 1273",
"1273 19 67",
"67 67 1"
] |
44226
|
2 3 3 3 3 3 7 13
|
[
"44226 2 22113",
"22113 3 7371",
"7371 3 2457",
"2457 3 819",
"819 3 273",
"273 3 91",
"91 7 13",
"13 13 1"
] |
4166471
|
1087 3833
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[
"4166471 1087 3833",
"3833 3833 1"
] |
694172
|
2 2 173543
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[
"694172 2 347086",
"347086 2 173543",
"173543 173543 1"
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508410
|
2 3 3 3 5 7 269
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[
"508410 2 254205",
"254205 3 84735",
"84735 3 28245",
"28245 3 9415",
"9415 5 1883",
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4770784
|
2 2 2 2 2 149087
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[
"4770784 2 2385392",
"2385392 2 1192696",
"1192696 2 596348",
"596348 2 298174",
"298174 2 149087",
"149087 149087 1"
] |
3774194
|
2 47 40151
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[
"3774194 2 1887097",
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"40151 40151 1"
] |
4700423
|
7 7 13 47 157
|
[
"4700423 7 671489",
"671489 7 95927",
"95927 13 7379",
"7379 47 157",
"157 157 1"
] |
2153411
|
13 151 1097
|
[
"2153411 13 165647",
"165647 151 1097",
"1097 1097 1"
] |
3962366
|
2 157 12619
|
[
"3962366 2 1981183",
"1981183 157 12619",
"12619 12619 1"
] |
2602416
|
2 2 2 2 3 54217
|
[
"2602416 2 1301208",
"1301208 2 650604",
"650604 2 325302",
"325302 2 162651",
"162651 3 54217",
"54217 54217 1"
] |
1907946
|
2 3 3 105997
|
[
"1907946 2 953973",
"953973 3 317991",
"317991 3 105997",
"105997 105997 1"
] |
4264067
|
4264067
|
[
"4264067 4264067 1"
] |
3645292
|
2 2 7 101 1289
|
[
"3645292 2 1822646",
"1822646 2 911323",
"911323 7 130189",
"130189 101 1289",
"1289 1289 1"
] |
644732
|
2 2 11 14653
|
[
"644732 2 322366",
"322366 2 161183",
"161183 11 14653",
"14653 14653 1"
] |
4123456
|
2 2 2 2 2 2 19 3391
|
[
"4123456 2 2061728",
"2061728 2 1030864",
"1030864 2 515432",
"515432 2 257716",
"257716 2 128858",
"128858 2 64429",
"64429 19 3391",
"3391 3391 1"
] |
351703
|
11 31973
|
[
"351703 11 31973",
"31973 31973 1"
] |
600276
|
2 2 3 50023
|
[
"600276 2 300138",
"300138 2 150069",
"150069 3 50023",
"50023 50023 1"
] |
4447452
|
2 2 3 73 5077
|
[
"4447452 2 2223726",
"2223726 2 1111863",
"1111863 3 370621",
"370621 73 5077",
"5077 5077 1"
] |
4627483
|
7 53 12473
|
[
"4627483 7 661069",
"661069 53 12473",
"12473 12473 1"
] |
4782250
|
2 5 5 5 11 37 47
|
[
"4782250 2 2391125",
"2391125 5 478225",
"478225 5 95645",
"95645 5 19129",
"19129 11 1739",
"1739 37 47",
"47 47 1"
] |
261882
|
2 3 3 14549
|
[
"261882 2 130941",
"130941 3 43647",
"43647 3 14549",
"14549 14549 1"
] |
1082125
|
5 5 5 11 787
|
[
"1082125 5 216425",
"216425 5 43285",
"43285 5 8657",
"8657 11 787",
"787 787 1"
] |
3635696
|
2 2 2 2 227231
|
[
"3635696 2 1817848",
"1817848 2 908924",
"908924 2 454462",
"454462 2 227231",
"227231 227231 1"
] |
3083972
|
2 2 770993
|
[
"3083972 2 1541986",
"1541986 2 770993",
"770993 770993 1"
] |
742856
|
2 2 2 92857
|
[
"742856 2 371428",
"371428 2 185714",
"185714 2 92857",
"92857 92857 1"
] |
1939059
|
3 3 3 3 37 647
|
[
"1939059 3 646353",
"646353 3 215451",
"215451 3 71817",
"71817 3 23939",
"23939 37 647",
"647 647 1"
] |
256461
|
3 85487
|
[
"256461 3 85487",
"85487 85487 1"
] |
4985174
|
2 2492587
|
[
"4985174 2 2492587",
"2492587 2492587 1"
] |
4973617
|
11 379 1193
|
[
"4973617 11 452147",
"452147 379 1193",
"1193 1193 1"
] |
979412
|
2 2 7 7 19 263
|
[
"979412 2 489706",
"489706 2 244853",
"244853 7 34979",
"34979 7 4997",
"4997 19 263",
"263 263 1"
] |
412622
|
2 7 29473
|
[
"412622 2 206311",
"206311 7 29473",
"29473 29473 1"
] |
420205
|
5 31 2711
|
[
"420205 5 84041",
"84041 31 2711",
"2711 2711 1"
] |
4949544
|
2 2 2 3 271 761
|
[
"4949544 2 2474772",
"2474772 2 1237386",
"1237386 2 618693",
"618693 3 206231",
"206231 271 761",
"761 761 1"
] |
4770760
|
2 2 2 5 41 2909
|
[
"4770760 2 2385380",
"2385380 2 1192690",
"1192690 2 596345",
"596345 5 119269",
"119269 41 2909",
"2909 2909 1"
] |
115792
|
2 2 2 2 7237
|
[
"115792 2 57896",
"57896 2 28948",
"28948 2 14474",
"14474 2 7237",
"7237 7237 1"
] |
1600844
|
2 2 7 57173
|
[
"1600844 2 800422",
"800422 2 400211",
"400211 7 57173",
"57173 57173 1"
] |
1255751
|
7 179393
|
[
"1255751 7 179393",
"179393 179393 1"
] |
660739
|
17 38867
|
[
"660739 17 38867",
"38867 38867 1"
] |
4529768
|
2 2 2 137 4133
|
[
"4529768 2 2264884",
"2264884 2 1132442",
"1132442 2 566221",
"566221 137 4133",
"4133 4133 1"
] |
1267305
|
3 5 13 67 97
|
[
"1267305 3 422435",
"422435 5 84487",
"84487 13 6499",
"6499 67 97",
"97 97 1"
] |
3578677
|
37 311 311
|
[
"3578677 37 96721",
"96721 311 311",
"311 311 1"
] |
3926997
|
3 3 23 61 311
|
[
"3926997 3 1308999",
"1308999 3 436333",
"436333 23 18971",
"18971 61 311",
"311 311 1"
] |
2581988
|
2 2 645497
|
[
"2581988 2 1290994",
"1290994 2 645497",
"645497 645497 1"
] |
3264848
|
2 2 2 2 419 487
|
[
"3264848 2 1632424",
"1632424 2 816212",
"816212 2 408106",
"408106 2 204053",
"204053 419 487",
"487 487 1"
] |
4983400
|
2 2 2 5 5 24917
|
[
"4983400 2 2491700",
"2491700 2 1245850",
"1245850 2 622925",
"622925 5 124585",
"124585 5 24917",
"24917 24917 1"
] |
4815326
|
2 23 104681
|
[
"4815326 2 2407663",
"2407663 23 104681",
"104681 104681 1"
] |
2621729
|
11 238339
|
[
"2621729 11 238339",
"238339 238339 1"
] |
1671966
|
2 3 3 29 3203
|
[
"1671966 2 835983",
"835983 3 278661",
"278661 3 92887",
"92887 29 3203",
"3203 3203 1"
] |
1045767
|
3 359 971
|
[
"1045767 3 348589",
"348589 359 971",
"971 971 1"
] |
594940
|
2 2 5 151 197
|
[
"594940 2 297470",
"297470 2 148735",
"148735 5 29747",
"29747 151 197",
"197 197 1"
] |
303441
|
3 41 2467
|
[
"303441 3 101147",
"101147 41 2467",
"2467 2467 1"
] |
1962036
|
2 2 3 3 3 37 491
|
[
"1962036 2 981018",
"981018 2 490509",
"490509 3 163503",
"163503 3 54501",
"54501 3 18167",
"18167 37 491",
"491 491 1"
] |
4286210
|
2 5 17 19 1327
|
[
"4286210 2 2143105",
"2143105 5 428621",
"428621 17 25213",
"25213 19 1327",
"1327 1327 1"
] |
3621174
|
2 3 603529
|
[
"3621174 2 1810587",
"1810587 3 603529",
"603529 603529 1"
] |
1856145
|
3 5 17 29 251
|
[
"1856145 3 618715",
"618715 5 123743",
"123743 17 7279",
"7279 29 251",
"251 251 1"
] |
4615727
|
19 29 8377
|
[
"4615727 19 242933",
"242933 29 8377",
"8377 8377 1"
] |
2824395
|
3 5 7 37 727
|
[
"2824395 3 941465",
"941465 5 188293",
"188293 7 26899",
"26899 37 727",
"727 727 1"
] |
1460887
|
1460887
|
[
"1460887 1460887 1"
] |
1712238
|
2 3 11 25943
|
[
"1712238 2 856119",
"856119 3 285373",
"285373 11 25943",
"25943 25943 1"
] |
2771137
|
101 27437
|
[
"2771137 101 27437",
"27437 27437 1"
] |
1445273
|
19 29 43 61
|
[
"1445273 19 76067",
"76067 29 2623",
"2623 43 61",
"61 61 1"
] |
627022
|
2 11 11 2591
|
[
"627022 2 313511",
"313511 11 28501",
"28501 11 2591",
"2591 2591 1"
] |
4452412
|
2 2 1113103
|
[
"4452412 2 2226206",
"2226206 2 1113103",
"1113103 1113103 1"
] |
15042
|
2 3 23 109
|
[
"15042 2 7521",
"7521 3 2507",
"2507 23 109",
"109 109 1"
] |
421716
|
2 2 3 113 311
|
[
"421716 2 210858",
"210858 2 105429",
"105429 3 35143",
"35143 113 311",
"311 311 1"
] |
2583325
|
5 5 103333
|
[
"2583325 5 516665",
"516665 5 103333",
"103333 103333 1"
] |
3347440
|
2 2 2 2 5 41843
|
[
"3347440 2 1673720",
"1673720 2 836860",
"836860 2 418430",
"418430 2 209215",
"209215 5 41843",
"41843 41843 1"
] |
3595752
|
2 2 2 3 3 3 3 31 179
|
[
"3595752 2 1797876",
"1797876 2 898938",
"898938 2 449469",
"449469 3 149823",
"149823 3 49941",
"49941 3 16647",
"16647 3 5549",
"5549 31 179",
"179 179 1"
] |
1332589
|
1332589
|
[
"1332589 1332589 1"
] |
4570391
|
7 652913
|
[
"4570391 7 652913",
"652913 652913 1"
] |
1371969
|
3 3 152441
|
[
"1371969 3 457323",
"457323 3 152441",
"152441 152441 1"
] |
1781114
|
2 97 9181
|
[
"1781114 2 890557",
"890557 97 9181",
"9181 9181 1"
] |
4617858
|
2 3 7 7 113 139
|
[
"4617858 2 2308929",
"2308929 3 769643",
"769643 7 109949",
"109949 7 15707",
"15707 113 139",
"139 139 1"
] |
3561187
|
7 31 16411
|
[
"3561187 7 508741",
"508741 31 16411",
"16411 16411 1"
] |
2426046
|
2 3 7 47 1229
|
[
"2426046 2 1213023",
"1213023 3 404341",
"404341 7 57763",
"57763 47 1229",
"1229 1229 1"
] |
1604184
|
2 2 2 3 66841
|
[
"1604184 2 802092",
"802092 2 401046",
"401046 2 200523",
"200523 3 66841",
"66841 66841 1"
] |
2712319
|
263 10313
|
[
"2712319 263 10313",
"10313 10313 1"
] |
3997005
|
3 5 79 3373
|
[
"3997005 3 1332335",
"1332335 5 266467",
"266467 79 3373",
"3373 3373 1"
] |
621872
|
2 2 2 2 38867
|
[
"621872 2 310936",
"310936 2 155468",
"155468 2 77734",
"77734 2 38867",
"38867 38867 1"
] |
2861126
|
2 229 6247
|
[
"2861126 2 1430563",
"1430563 229 6247",
"6247 6247 1"
] |
617407
|
7 193 457
|
[
"617407 7 88201",
"88201 193 457",
"457 457 1"
] |
4554699
|
3 19 79907
|
[
"4554699 3 1518233",
"1518233 19 79907",
"79907 79907 1"
] |
3295076
|
2 2 17 47 1031
|
[
"3295076 2 1647538",
"1647538 2 823769",
"823769 17 48457",
"48457 47 1031",
"1031 1031 1"
] |
4278450
|
2 3 5 5 11 2593
|
[
"4278450 2 2139225",
"2139225 3 713075",
"713075 5 142615",
"142615 5 28523",
"28523 11 2593",
"2593 2593 1"
] |
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