input
stringlengths 3
7
| output
stringlengths 3
41
| step_by_step_solution
listlengths 1
21
|
|---|---|---|
2190464
|
2 2 2 2 2 2 2 109 157
|
[
"2190464 2 1095232",
"1095232 2 547616",
"547616 2 273808",
"273808 2 136904",
"136904 2 68452",
"68452 2 34226",
"34226 2 17113",
"17113 109 157",
"157 157 1"
] |
2269878
|
2 3 13 29101
|
[
"2269878 2 1134939",
"1134939 3 378313",
"378313 13 29101",
"29101 29101 1"
] |
504922
|
2 11 59 389
|
[
"504922 2 252461",
"252461 11 22951",
"22951 59 389",
"389 389 1"
] |
1928078
|
2 964039
|
[
"1928078 2 964039",
"964039 964039 1"
] |
1338383
|
179 7477
|
[
"1338383 179 7477",
"7477 7477 1"
] |
4175012
|
2 2 1043753
|
[
"4175012 2 2087506",
"2087506 2 1043753",
"1043753 1043753 1"
] |
3082567
|
3082567
|
[
"3082567 3082567 1"
] |
4715627
|
7 31 31 701
|
[
"4715627 7 673661",
"673661 31 21731",
"21731 31 701",
"701 701 1"
] |
721875
|
3 5 5 5 5 5 7 11
|
[
"721875 3 240625",
"240625 5 48125",
"48125 5 9625",
"9625 5 1925",
"1925 5 385",
"385 5 77",
"77 7 11",
"11 11 1"
] |
4142135
|
5 17 48731
|
[
"4142135 5 828427",
"828427 17 48731",
"48731 48731 1"
] |
1934718
|
2 3 127 2539
|
[
"1934718 2 967359",
"967359 3 322453",
"322453 127 2539",
"2539 2539 1"
] |
1542994
|
2 31 41 607
|
[
"1542994 2 771497",
"771497 31 24887",
"24887 41 607",
"607 607 1"
] |
4405350
|
2 3 5 5 43 683
|
[
"4405350 2 2202675",
"2202675 3 734225",
"734225 5 146845",
"146845 5 29369",
"29369 43 683",
"683 683 1"
] |
3945302
|
2 1972651
|
[
"3945302 2 1972651",
"1972651 1972651 1"
] |
4768814
|
2 2384407
|
[
"4768814 2 2384407",
"2384407 2384407 1"
] |
4764254
|
2 11 11 19687
|
[
"4764254 2 2382127",
"2382127 11 216557",
"216557 11 19687",
"19687 19687 1"
] |
3280924
|
2 2 820231
|
[
"3280924 2 1640462",
"1640462 2 820231",
"820231 820231 1"
] |
2752773
|
3 917591
|
[
"2752773 3 917591",
"917591 917591 1"
] |
136851
|
3 11 11 13 29
|
[
"136851 3 45617",
"45617 11 4147",
"4147 11 377",
"377 13 29",
"29 29 1"
] |
411474
|
2 3 7 97 101
|
[
"411474 2 205737",
"205737 3 68579",
"68579 7 9797",
"9797 97 101",
"101 101 1"
] |
117740
|
2 2 5 7 29 29
|
[
"117740 2 58870",
"58870 2 29435",
"29435 5 5887",
"5887 7 841",
"841 29 29",
"29 29 1"
] |
225528
|
2 2 2 3 9397
|
[
"225528 2 112764",
"112764 2 56382",
"56382 2 28191",
"28191 3 9397",
"9397 9397 1"
] |
4322137
|
23 113 1663
|
[
"4322137 23 187919",
"187919 113 1663",
"1663 1663 1"
] |
4326336
|
2 2 2 2 2 2 3 3 7 29 37
|
[
"4326336 2 2163168",
"2163168 2 1081584",
"1081584 2 540792",
"540792 2 270396",
"270396 2 135198",
"135198 2 67599",
"67599 3 22533",
"22533 3 7511",
"7511 7 1073",
"1073 29 37",
"37 37 1"
] |
1766487
|
3 17 19 1823
|
[
"1766487 3 588829",
"588829 17 34637",
"34637 19 1823",
"1823 1823 1"
] |
72020
|
2 2 5 13 277
|
[
"72020 2 36010",
"36010 2 18005",
"18005 5 3601",
"3601 13 277",
"277 277 1"
] |
2201177
|
11 17 79 149
|
[
"2201177 11 200107",
"200107 17 11771",
"11771 79 149",
"149 149 1"
] |
3924568
|
2 2 2 490571
|
[
"3924568 2 1962284",
"1962284 2 981142",
"981142 2 490571",
"490571 490571 1"
] |
1890616
|
2 2 2 7 7 7 13 53
|
[
"1890616 2 945308",
"945308 2 472654",
"472654 2 236327",
"236327 7 33761",
"33761 7 4823",
"4823 7 689",
"689 13 53",
"53 53 1"
] |
4568672
|
2 2 2 2 2 142771
|
[
"4568672 2 2284336",
"2284336 2 1142168",
"1142168 2 571084",
"571084 2 285542",
"285542 2 142771",
"142771 142771 1"
] |
3485729
|
13 268133
|
[
"3485729 13 268133",
"268133 268133 1"
] |
2171582
|
2 7 7 22159
|
[
"2171582 2 1085791",
"1085791 7 155113",
"155113 7 22159",
"22159 22159 1"
] |
4521853
|
7 645979
|
[
"4521853 7 645979",
"645979 645979 1"
] |
1216733
|
7 173819
|
[
"1216733 7 173819",
"173819 173819 1"
] |
3172807
|
11 211 1367
|
[
"3172807 11 288437",
"288437 211 1367",
"1367 1367 1"
] |
3903258
|
2 3 650543
|
[
"3903258 2 1951629",
"1951629 3 650543",
"650543 650543 1"
] |
2324284
|
2 2 581071
|
[
"2324284 2 1162142",
"1162142 2 581071",
"581071 581071 1"
] |
4191841
|
37 277 409
|
[
"4191841 37 113293",
"113293 277 409",
"409 409 1"
] |
1920458
|
2 960229
|
[
"1920458 2 960229",
"960229 960229 1"
] |
4925387
|
233 21139
|
[
"4925387 233 21139",
"21139 21139 1"
] |
825815
|
5 23 43 167
|
[
"825815 5 165163",
"165163 23 7181",
"7181 43 167",
"167 167 1"
] |
2825269
|
41 68909
|
[
"2825269 41 68909",
"68909 68909 1"
] |
2538786
|
2 3 23 18397
|
[
"2538786 2 1269393",
"1269393 3 423131",
"423131 23 18397",
"18397 18397 1"
] |
332654
|
2 7 23761
|
[
"332654 2 166327",
"166327 7 23761",
"23761 23761 1"
] |
667819
|
667819
|
[
"667819 667819 1"
] |
1589905
|
5 379 839
|
[
"1589905 5 317981",
"317981 379 839",
"839 839 1"
] |
939294
|
2 3 3 52183
|
[
"939294 2 469647",
"469647 3 156549",
"156549 3 52183",
"52183 52183 1"
] |
694811
|
13 19 29 97
|
[
"694811 13 53447",
"53447 19 2813",
"2813 29 97",
"97 97 1"
] |
3239664
|
2 2 2 2 3 67493
|
[
"3239664 2 1619832",
"1619832 2 809916",
"809916 2 404958",
"404958 2 202479",
"202479 3 67493",
"67493 67493 1"
] |
45128
|
2 2 2 5641
|
[
"45128 2 22564",
"22564 2 11282",
"11282 2 5641",
"5641 5641 1"
] |
3952028
|
2 2 988007
|
[
"3952028 2 1976014",
"1976014 2 988007",
"988007 988007 1"
] |
1685261
|
17 99133
|
[
"1685261 17 99133",
"99133 99133 1"
] |
1410053
|
1410053
|
[
"1410053 1410053 1"
] |
938604
|
2 2 3 17 43 107
|
[
"938604 2 469302",
"469302 2 234651",
"234651 3 78217",
"78217 17 4601",
"4601 43 107",
"107 107 1"
] |
3836403
|
3 3 3 3 47363
|
[
"3836403 3 1278801",
"1278801 3 426267",
"426267 3 142089",
"142089 3 47363",
"47363 47363 1"
] |
530986
|
2 265493
|
[
"530986 2 265493",
"265493 265493 1"
] |
922522
|
2 17 43 631
|
[
"922522 2 461261",
"461261 17 27133",
"27133 43 631",
"631 631 1"
] |
1947083
|
43 45281
|
[
"1947083 43 45281",
"45281 45281 1"
] |
1475398
|
2 149 4951
|
[
"1475398 2 737699",
"737699 149 4951",
"4951 4951 1"
] |
4364456
|
2 2 2 317 1721
|
[
"4364456 2 2182228",
"2182228 2 1091114",
"1091114 2 545557",
"545557 317 1721",
"1721 1721 1"
] |
2132994
|
2 3 355499
|
[
"2132994 2 1066497",
"1066497 3 355499",
"355499 355499 1"
] |
1702012
|
2 2 13 71 461
|
[
"1702012 2 851006",
"851006 2 425503",
"425503 13 32731",
"32731 71 461",
"461 461 1"
] |
255264
|
2 2 2 2 2 3 2659
|
[
"255264 2 127632",
"127632 2 63816",
"63816 2 31908",
"31908 2 15954",
"15954 2 7977",
"7977 3 2659",
"2659 2659 1"
] |
255839
|
255839
|
[
"255839 255839 1"
] |
3186296
|
2 2 2 398287
|
[
"3186296 2 1593148",
"1593148 2 796574",
"796574 2 398287",
"398287 398287 1"
] |
1215830
|
2 5 7 11 1579
|
[
"1215830 2 607915",
"607915 5 121583",
"121583 7 17369",
"17369 11 1579",
"1579 1579 1"
] |
4099153
|
1667 2459
|
[
"4099153 1667 2459",
"2459 2459 1"
] |
3162992
|
2 2 2 2 7 31 911
|
[
"3162992 2 1581496",
"1581496 2 790748",
"790748 2 395374",
"395374 2 197687",
"197687 7 28241",
"28241 31 911",
"911 911 1"
] |
886391
|
11 61 1321
|
[
"886391 11 80581",
"80581 61 1321",
"1321 1321 1"
] |
2363899
|
283 8353
|
[
"2363899 283 8353",
"8353 8353 1"
] |
3223453
|
487 6619
|
[
"3223453 487 6619",
"6619 6619 1"
] |
463969
|
11 42179
|
[
"463969 11 42179",
"42179 42179 1"
] |
1983288
|
2 2 2 3 17 4861
|
[
"1983288 2 991644",
"991644 2 495822",
"495822 2 247911",
"247911 3 82637",
"82637 17 4861",
"4861 4861 1"
] |
2961338
|
2 1480669
|
[
"2961338 2 1480669",
"1480669 1480669 1"
] |
2314849
|
2314849
|
[
"2314849 2314849 1"
] |
1649594
|
2 41 20117
|
[
"1649594 2 824797",
"824797 41 20117",
"20117 20117 1"
] |
3919917
|
3 181 7219
|
[
"3919917 3 1306639",
"1306639 181 7219",
"7219 7219 1"
] |
3352246
|
2 19 19 4643
|
[
"3352246 2 1676123",
"1676123 19 88217",
"88217 19 4643",
"4643 4643 1"
] |
1345977
|
3 3 3 3 3 29 191
|
[
"1345977 3 448659",
"448659 3 149553",
"149553 3 49851",
"49851 3 16617",
"16617 3 5539",
"5539 29 191",
"191 191 1"
] |
78783
|
3 26261
|
[
"78783 3 26261",
"26261 26261 1"
] |
3885226
|
2 863 2251
|
[
"3885226 2 1942613",
"1942613 863 2251",
"2251 2251 1"
] |
197235
|
3 3 3 3 5 487
|
[
"197235 3 65745",
"65745 3 21915",
"21915 3 7305",
"7305 3 2435",
"2435 5 487",
"487 487 1"
] |
1000467
|
3 3 13 17 503
|
[
"1000467 3 333489",
"333489 3 111163",
"111163 13 8551",
"8551 17 503",
"503 503 1"
] |
670728
|
2 2 2 3 27947
|
[
"670728 2 335364",
"335364 2 167682",
"167682 2 83841",
"83841 3 27947",
"27947 27947 1"
] |
4437488
|
2 2 2 2 11 19 1327
|
[
"4437488 2 2218744",
"2218744 2 1109372",
"1109372 2 554686",
"554686 2 277343",
"277343 11 25213",
"25213 19 1327",
"1327 1327 1"
] |
795792
|
2 2 2 2 3 59 281
|
[
"795792 2 397896",
"397896 2 198948",
"198948 2 99474",
"99474 2 49737",
"49737 3 16579",
"16579 59 281",
"281 281 1"
] |
4680138
|
2 3 101 7723
|
[
"4680138 2 2340069",
"2340069 3 780023",
"780023 101 7723",
"7723 7723 1"
] |
1498315
|
5 7 13 37 89
|
[
"1498315 5 299663",
"299663 7 42809",
"42809 13 3293",
"3293 37 89",
"89 89 1"
] |
11044
|
2 2 11 251
|
[
"11044 2 5522",
"5522 2 2761",
"2761 11 251",
"251 251 1"
] |
4498389
|
3 3 3 7 23801
|
[
"4498389 3 1499463",
"1499463 3 499821",
"499821 3 166607",
"166607 7 23801",
"23801 23801 1"
] |
371526
|
2 3 19 3259
|
[
"371526 2 185763",
"185763 3 61921",
"61921 19 3259",
"3259 3259 1"
] |
4326959
|
7 13 17 2797
|
[
"4326959 7 618137",
"618137 13 47549",
"47549 17 2797",
"2797 2797 1"
] |
789250
|
2 5 5 5 7 11 41
|
[
"789250 2 394625",
"394625 5 78925",
"78925 5 15785",
"15785 5 3157",
"3157 7 451",
"451 11 41",
"41 41 1"
] |
746405
|
5 11 41 331
|
[
"746405 5 149281",
"149281 11 13571",
"13571 41 331",
"331 331 1"
] |
3541961
|
19 186419
|
[
"3541961 19 186419",
"186419 186419 1"
] |
4730026
|
2 7 337859
|
[
"4730026 2 2365013",
"2365013 7 337859",
"337859 337859 1"
] |
2687916
|
2 2 3 7 11 2909
|
[
"2687916 2 1343958",
"1343958 2 671979",
"671979 3 223993",
"223993 7 31999",
"31999 11 2909",
"2909 2909 1"
] |
2199853
|
29 31 2447
|
[
"2199853 29 75857",
"75857 31 2447",
"2447 2447 1"
] |
1849933
|
1849933
|
[
"1849933 1849933 1"
] |
1089737
|
11 157 631
|
[
"1089737 11 99067",
"99067 157 631",
"631 631 1"
] |
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