input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
|---|---|---|
4752018
|
2 3 3 227 1163
|
[
"4752018 2 2376009",
"2376009 3 792003",
"792003 3 264001",
"264001 227 1163",
"1163 1163 1"
] |
4788947
|
37 347 373
|
[
"4788947 37 129431",
"129431 347 373",
"373 373 1"
] |
3199551
|
3 1066517
|
[
"3199551 3 1066517",
"1066517 1066517 1"
] |
3931695
|
3 3 5 41 2131
|
[
"3931695 3 1310565",
"1310565 3 436855",
"436855 5 87371",
"87371 41 2131",
"2131 2131 1"
] |
4633541
|
11 157 2683
|
[
"4633541 11 421231",
"421231 157 2683",
"2683 2683 1"
] |
594412
|
2 2 7 13 23 71
|
[
"594412 2 297206",
"297206 2 148603",
"148603 7 21229",
"21229 13 1633",
"1633 23 71",
"71 71 1"
] |
2330559
|
3 3 3 7 11 19 59
|
[
"2330559 3 776853",
"776853 3 258951",
"258951 3 86317",
"86317 7 12331",
"12331 11 1121",
"1121 19 59",
"59 59 1"
] |
2406187
|
7 263 1307
|
[
"2406187 7 343741",
"343741 263 1307",
"1307 1307 1"
] |
131046
|
2 3 21841
|
[
"131046 2 65523",
"65523 3 21841",
"21841 21841 1"
] |
36555
|
3 5 2437
|
[
"36555 3 12185",
"12185 5 2437",
"2437 2437 1"
] |
1213792
|
2 2 2 2 2 83 457
|
[
"1213792 2 606896",
"606896 2 303448",
"303448 2 151724",
"151724 2 75862",
"75862 2 37931",
"37931 83 457",
"457 457 1"
] |
1582600
|
2 2 2 5 5 41 193
|
[
"1582600 2 791300",
"791300 2 395650",
"395650 2 197825",
"197825 5 39565",
"39565 5 7913",
"7913 41 193",
"193 193 1"
] |
3671926
|
2 509 3607
|
[
"3671926 2 1835963",
"1835963 509 3607",
"3607 3607 1"
] |
3124924
|
2 2 11 29 31 79
|
[
"3124924 2 1562462",
"1562462 2 781231",
"781231 11 71021",
"71021 29 2449",
"2449 31 79",
"79 79 1"
] |
3332439
|
3 3 11 41 821
|
[
"3332439 3 1110813",
"1110813 3 370271",
"370271 11 33661",
"33661 41 821",
"821 821 1"
] |
1247861
|
1247861
|
[
"1247861 1247861 1"
] |
3343855
|
5 23 29077
|
[
"3343855 5 668771",
"668771 23 29077",
"29077 29077 1"
] |
2075086
|
2 13 79811
|
[
"2075086 2 1037543",
"1037543 13 79811",
"79811 79811 1"
] |
3899869
|
67 58207
|
[
"3899869 67 58207",
"58207 58207 1"
] |
1023390
|
2 3 3 5 83 137
|
[
"1023390 2 511695",
"511695 3 170565",
"170565 3 56855",
"56855 5 11371",
"11371 83 137",
"137 137 1"
] |
2315294
|
2 131 8837
|
[
"2315294 2 1157647",
"1157647 131 8837",
"8837 8837 1"
] |
2716564
|
2 2 739 919
|
[
"2716564 2 1358282",
"1358282 2 679141",
"679141 739 919",
"919 919 1"
] |
508856
|
2 2 2 63607
|
[
"508856 2 254428",
"254428 2 127214",
"127214 2 63607",
"63607 63607 1"
] |
4771550
|
2 5 5 7 13633
|
[
"4771550 2 2385775",
"2385775 5 477155",
"477155 5 95431",
"95431 7 13633",
"13633 13633 1"
] |
4782155
|
5 7 7 131 149
|
[
"4782155 5 956431",
"956431 7 136633",
"136633 7 19519",
"19519 131 149",
"149 149 1"
] |
1851660
|
2 2 3 3 3 3 3 3 5 127
|
[
"1851660 2 925830",
"925830 2 462915",
"462915 3 154305",
"154305 3 51435",
"51435 3 17145",
"17145 3 5715",
"5715 3 1905",
"1905 3 635",
"635 5 127",
"127 127 1"
] |
1211557
|
89 13613
|
[
"1211557 89 13613",
"13613 13613 1"
] |
2604332
|
2 2 17 38299
|
[
"2604332 2 1302166",
"1302166 2 651083",
"651083 17 38299",
"38299 38299 1"
] |
2809247
|
7 401321
|
[
"2809247 7 401321",
"401321 401321 1"
] |
24976
|
2 2 2 2 7 223
|
[
"24976 2 12488",
"12488 2 6244",
"6244 2 3122",
"3122 2 1561",
"1561 7 223",
"223 223 1"
] |
842076
|
2 2 3 3 3 3 23 113
|
[
"842076 2 421038",
"421038 2 210519",
"210519 3 70173",
"70173 3 23391",
"23391 3 7797",
"7797 3 2599",
"2599 23 113",
"113 113 1"
] |
4587905
|
5 7 47 2789
|
[
"4587905 5 917581",
"917581 7 131083",
"131083 47 2789",
"2789 2789 1"
] |
2502791
|
17 23 37 173
|
[
"2502791 17 147223",
"147223 23 6401",
"6401 37 173",
"173 173 1"
] |
2520322
|
2 7 180023
|
[
"2520322 2 1260161",
"1260161 7 180023",
"180023 180023 1"
] |
2772286
|
2 11 126013
|
[
"2772286 2 1386143",
"1386143 11 126013",
"126013 126013 1"
] |
2276739
|
3 3 252971
|
[
"2276739 3 758913",
"758913 3 252971",
"252971 252971 1"
] |
3190689
|
3 3 19 47 397
|
[
"3190689 3 1063563",
"1063563 3 354521",
"354521 19 18659",
"18659 47 397",
"397 397 1"
] |
3116963
|
827 3769
|
[
"3116963 827 3769",
"3769 3769 1"
] |
4450393
|
709 6277
|
[
"4450393 709 6277",
"6277 6277 1"
] |
612012
|
2 2 3 51001
|
[
"612012 2 306006",
"306006 2 153003",
"153003 3 51001",
"51001 51001 1"
] |
3469837
|
7 7 19 3727
|
[
"3469837 7 495691",
"495691 7 70813",
"70813 19 3727",
"3727 3727 1"
] |
1764082
|
2 83 10627
|
[
"1764082 2 882041",
"882041 83 10627",
"10627 10627 1"
] |
4871015
|
5 677 1439
|
[
"4871015 5 974203",
"974203 677 1439",
"1439 1439 1"
] |
3341390
|
2 5 13 25703
|
[
"3341390 2 1670695",
"1670695 5 334139",
"334139 13 25703",
"25703 25703 1"
] |
1527041
|
1527041
|
[
"1527041 1527041 1"
] |
1218532
|
2 2 7 7 6217
|
[
"1218532 2 609266",
"609266 2 304633",
"304633 7 43519",
"43519 7 6217",
"6217 6217 1"
] |
4005845
|
5 733 1093
|
[
"4005845 5 801169",
"801169 733 1093",
"1093 1093 1"
] |
4922503
|
17 289559
|
[
"4922503 17 289559",
"289559 289559 1"
] |
3916157
|
7 559451
|
[
"3916157 7 559451",
"559451 559451 1"
] |
4452333
|
3 1484111
|
[
"4452333 3 1484111",
"1484111 1484111 1"
] |
4906160
|
2 2 2 2 5 7 8761
|
[
"4906160 2 2453080",
"2453080 2 1226540",
"1226540 2 613270",
"613270 2 306635",
"306635 5 61327",
"61327 7 8761",
"8761 8761 1"
] |
1701770
|
2 5 7 7 23 151
|
[
"1701770 2 850885",
"850885 5 170177",
"170177 7 24311",
"24311 7 3473",
"3473 23 151",
"151 151 1"
] |
3236125
|
5 5 5 25889
|
[
"3236125 5 647225",
"647225 5 129445",
"129445 5 25889",
"25889 25889 1"
] |
4160523
|
3 863 1607
|
[
"4160523 3 1386841",
"1386841 863 1607",
"1607 1607 1"
] |
1293609
|
3 431203
|
[
"1293609 3 431203",
"431203 431203 1"
] |
1457465
|
5 31 9403
|
[
"1457465 5 291493",
"291493 31 9403",
"9403 9403 1"
] |
4925833
|
11 569 787
|
[
"4925833 11 447803",
"447803 569 787",
"787 787 1"
] |
1250453
|
1250453
|
[
"1250453 1250453 1"
] |
4667421
|
3 11 67 2111
|
[
"4667421 3 1555807",
"1555807 11 141437",
"141437 67 2111",
"2111 2111 1"
] |
3220131
|
3 29 37013
|
[
"3220131 3 1073377",
"1073377 29 37013",
"37013 37013 1"
] |
390528
|
2 2 2 2 2 2 2 3 3 3 113
|
[
"390528 2 195264",
"195264 2 97632",
"97632 2 48816",
"48816 2 24408",
"24408 2 12204",
"12204 2 6102",
"6102 2 3051",
"3051 3 1017",
"1017 3 339",
"339 3 113",
"113 113 1"
] |
818299
|
811 1009
|
[
"818299 811 1009",
"1009 1009 1"
] |
2147961
|
3 37 37 523
|
[
"2147961 3 715987",
"715987 37 19351",
"19351 37 523",
"523 523 1"
] |
2927092
|
2 2 7 107 977
|
[
"2927092 2 1463546",
"1463546 2 731773",
"731773 7 104539",
"104539 107 977",
"977 977 1"
] |
3797942
|
2 313 6067
|
[
"3797942 2 1898971",
"1898971 313 6067",
"6067 6067 1"
] |
4340588
|
2 2 7 19 41 199
|
[
"4340588 2 2170294",
"2170294 2 1085147",
"1085147 7 155021",
"155021 19 8159",
"8159 41 199",
"199 199 1"
] |
23004
|
2 2 3 3 3 3 71
|
[
"23004 2 11502",
"11502 2 5751",
"5751 3 1917",
"1917 3 639",
"639 3 213",
"213 3 71",
"71 71 1"
] |
2742915
|
3 5 7 151 173
|
[
"2742915 3 914305",
"914305 5 182861",
"182861 7 26123",
"26123 151 173",
"173 173 1"
] |
217962
|
2 3 3 12109
|
[
"217962 2 108981",
"108981 3 36327",
"36327 3 12109",
"12109 12109 1"
] |
971579
|
7 138797
|
[
"971579 7 138797",
"138797 138797 1"
] |
4726028
|
2 2 1181507
|
[
"4726028 2 2363014",
"2363014 2 1181507",
"1181507 1181507 1"
] |
1560925
|
5 5 29 2153
|
[
"1560925 5 312185",
"312185 5 62437",
"62437 29 2153",
"2153 2153 1"
] |
3455703
|
3 3 3 3 3 14221
|
[
"3455703 3 1151901",
"1151901 3 383967",
"383967 3 127989",
"127989 3 42663",
"42663 3 14221",
"14221 14221 1"
] |
4693163
|
1039 4517
|
[
"4693163 1039 4517",
"4517 4517 1"
] |
806027
|
806027
|
[
"806027 806027 1"
] |
1707138
|
2 3 3 94841
|
[
"1707138 2 853569",
"853569 3 284523",
"284523 3 94841",
"94841 94841 1"
] |
3457056
|
2 2 2 2 2 3 36011
|
[
"3457056 2 1728528",
"1728528 2 864264",
"864264 2 432132",
"432132 2 216066",
"216066 2 108033",
"108033 3 36011",
"36011 36011 1"
] |
3083500
|
2 2 5 5 5 7 881
|
[
"3083500 2 1541750",
"1541750 2 770875",
"770875 5 154175",
"154175 5 30835",
"30835 5 6167",
"6167 7 881",
"881 881 1"
] |
2196
|
2 2 3 3 61
|
[
"2196 2 1098",
"1098 2 549",
"549 3 183",
"183 3 61",
"61 61 1"
] |
3106189
|
17 89 2053
|
[
"3106189 17 182717",
"182717 89 2053",
"2053 2053 1"
] |
1098075
|
3 5 5 11 11 11 11
|
[
"1098075 3 366025",
"366025 5 73205",
"73205 5 14641",
"14641 11 1331",
"1331 11 121",
"121 11 11",
"11 11 1"
] |
2678179
|
7 29 79 167
|
[
"2678179 7 382597",
"382597 29 13193",
"13193 79 167",
"167 167 1"
] |
102868
|
2 2 25717
|
[
"102868 2 51434",
"51434 2 25717",
"25717 25717 1"
] |
4747722
|
2 3 7 113041
|
[
"4747722 2 2373861",
"2373861 3 791287",
"791287 7 113041",
"113041 113041 1"
] |
621822
|
2 3 37 2801
|
[
"621822 2 310911",
"310911 3 103637",
"103637 37 2801",
"2801 2801 1"
] |
3330790
|
2 5 83 4013
|
[
"3330790 2 1665395",
"1665395 5 333079",
"333079 83 4013",
"4013 4013 1"
] |
2256487
|
1187 1901
|
[
"2256487 1187 1901",
"1901 1901 1"
] |
1456544
|
2 2 2 2 2 23 1979
|
[
"1456544 2 728272",
"728272 2 364136",
"364136 2 182068",
"182068 2 91034",
"91034 2 45517",
"45517 23 1979",
"1979 1979 1"
] |
3957411
|
3 1319137
|
[
"3957411 3 1319137",
"1319137 1319137 1"
] |
4238795
|
5 11 77069
|
[
"4238795 5 847759",
"847759 11 77069",
"77069 77069 1"
] |
850324
|
2 2 47 4523
|
[
"850324 2 425162",
"425162 2 212581",
"212581 47 4523",
"4523 4523 1"
] |
2486062
|
2 673 1847
|
[
"2486062 2 1243031",
"1243031 673 1847",
"1847 1847 1"
] |
2281201
|
13 379 463
|
[
"2281201 13 175477",
"175477 379 463",
"463 463 1"
] |
3907870
|
2 5 593 659
|
[
"3907870 2 1953935",
"1953935 5 390787",
"390787 593 659",
"659 659 1"
] |
2605538
|
2 13 100213
|
[
"2605538 2 1302769",
"1302769 13 100213",
"100213 100213 1"
] |
2102364
|
2 2 3 3 11 5309
|
[
"2102364 2 1051182",
"1051182 2 525591",
"525591 3 175197",
"175197 3 58399",
"58399 11 5309",
"5309 5309 1"
] |
2586057
|
3 17 50707
|
[
"2586057 3 862019",
"862019 17 50707",
"50707 50707 1"
] |
3025684
|
2 2 756421
|
[
"3025684 2 1512842",
"1512842 2 756421",
"756421 756421 1"
] |
57606
|
2 3 9601
|
[
"57606 2 28803",
"28803 3 9601",
"9601 9601 1"
] |
4175144
|
2 2 2 23 22691
|
[
"4175144 2 2087572",
"2087572 2 1043786",
"1043786 2 521893",
"521893 23 22691",
"22691 22691 1"
] |
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