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 Author: skeeter84  [ Thu Dec 02, 2021 6:33 am ] Post subject: 25x25 puzzle factor tables Hello, everyone. Seventeen people have solved the 25x25 as of this message, and I'm sure Patrick and fzpowerman would love to see that number go even higher. To that end, I present you all with 2-cell and 3-cell factor tables. I made factoring tables for myself when I did the 19x19 and 20x20 puzzles, and the stuff I included was "made to order" specifically for them. The list below now covers 1-25 inclusive and may come in handy for solving fzpowerman's 25x25 behemoth. I don't know what exactly you're up against in Patrick's latest puzzle book, but this will hopefully be helpful. Although my lists do not and cannot possibly cover everything, I feel I've covered a decent amount. Enjoy!skeeter84 2 cells2 >>> 1x23 >>> 1x34 >>> 1x4; 2x25 >>> 5x16 >>> 1x6; 2x37 >>> 1x78 >>> 1x8; 2x49 >>> 1x9; 3x310 >>> 1x10; 2x511 >>> 1x1112 >>> 1x12; 2x6; 3x413 >>> 1x1314 >>> 1x14; 2x715 >>> 1x15; 3x516 >>> 1x16; 2x8; 4x417 >>> 1x1718 >>> 1x18; 2x9; 3x619 >>> 1x1920 >>> 1x20; 2x10; 4x521 >>> 1x21; 3x722 >>> 1x22; 2x1123 >>> 1x2324 >>> 1x24; 2x12; 3x8; 4x625 >>> 1x25; 5x526 >>> 2x1327 >>> 3x928 >>> 2x14; 4x730 >>> 2x15; 3x10; 5x632 >>> 2x16; 4x834 >>> 2x1735 >>> 5x736 >>> 2x18; 3x12; 4x9; 6x638 >>> 2x1939 >>> 3x1340 >>> 2x20; 4x10; 5x842 >>> 2x21; 3x14; 6x744 >>> 2x22; 4x1145 >>> 3x15; 5x946 >>> 2x2348 >>> 3x16; 4x12; 6x8; 2x2449 >>> 7x750 >>> 2x25; 5x1051 >>> 3x1752 >>> 4x1354 >>> 3x18; 6x955 >>> 5x1156 >>> 4x14; 7x857 >>> 3x1960 >>> 3x20; 4x15; 5x12; 6x1063 >>> 3x21; 7x964 >>> 4x16; 8x865 >>> 5x1366 >>> 3x22; 6x1168 >>> 4x1769 >>> 3x2370 >>> 5x14; 7x1072 >>> 8x9; 4x18; 6x12; 3x2475 >>> 5x15; 3x2576 >>> 4x1977 >>> 7x1178 >>> 6x1380 >>> 4x20; 5x16; 8x1084 >>> 6x14; 7x12; 4x2185 >>> 5x1788 >>> 4x22; 8x1190 >>> 5x18; 6x15; 9x1091 >>> 7x1392 >>> 4x2395 >>> 5x1996 >>> 6x16; 8x12; 4x2498 >>> 7x1499 >>> 9x11100 >>> 10x10; 5x20; 4x25102 >>> 6x17104 >>> 8x13105 >>> 7x15; 5x21108 >>> 6x18; 9x12110 >>> 10x11; 5x22112 >>> 7x16; 8x14114 >>> 6x19117 >>> 9x13119 >>> 7x17120 >>> 5x24; 6x20; 8x15; 10x12126 >>> 7x18; 9x14; 6x21128 >>> 8x16130 >>> 10x13133 >>> 7x19135 >>> 9x15136 >>> 8x17140 >>> 7x20; 10x14143 >>> 11x13144 >>> 12x12; 9x16; 8x18; 6x24 147 >>> 7x21150 >>> 10x15; 6x25152 >>> 8x19153 >>> 9x17 154 >>> 11x14; 7x22162 >>> 9x18168 >>> 7x24; 8x21; 12x14170 >>> 10x17171 >>> 9x19175 >>> 7x25176 >>> 11x16; 8x22180 >>> 9x20; 10x18; 12x15182 >>> 13x14187 >>> 11x17190 >>> 10x19192 >>> 8x24; 12x16198 >>> 9x22; 11x18200 >>> 8x25; 10x20204 >>> 12x17208 >>> 13x16209 >>> 11x19210 >>> 10x21; 14x15216 >>> 9x24; 12x18220 >>> 10x22; 11x20221 >>> 13x17224 >>> 14x16225 >>> 9x25; 15x15234 >>> 13x18238 >>> 14x17240 >>> 12x20; 15x16; 10x24252 >>> 12x21; 14x18255 >>> 15x17260 >>> 13x20266 >>> 14x19270 >>> 15x18272 >>> 16x17280 >>> 14x20285 >>> 15x19288 >>> 12x24; 16x18294 >>> 14x21304 >>> 16x19306 >>> 17x18315 >>> 15x21322 >>> 14x23323 >>> 17x19325 >>> 13x25336 >>> 14x24; 16x21 340 >>> 17x20342 >>> 18x19360 >>> 18x20; 15x24 384 >>> 16x24408 >>> 17x24420 >>> 20x213 cells90 >>> 2x5x9; 2x15x3; 3x5x6; 3x10x3; 9x10x1; 15x1x6; 18x1x5210 >>> 1x10x21; 1x14x15; 2x7x15; 2x5x21; 3x5x14; 3x7x10; 5x6x7216 >>> 18x2x6; 18x3x4; 18x12x1; 12x6x3; 12x2x9; 6x6x6; 6x4x9; 3x8x9; 24x3x3; 24x1x9280 >>> 20x14x1; 20x7x2; 14x10x2; 10x7x4; 14x5x4; 8x7x5378 >>> 21x1x18; 21x2x9; 21x3x6; 6x7x9; 14x3x9; 18x3x7539 >>> 11x7x7540 >>> 12x5x9; 12x15x3; 15x6x6; 15x4x9; 10x9x6; 18x15x2; 20x9x3; 18x10x3; 18x5x6594 >>> 3x9x22; 3x11x18; 6x9x11650 >>> 2x13x25; 5x10x13672 >>> 2x14x24; 2x16x21; 3x14x16; 4x7x24; 4x8x21; 4x12x14; 6x7x16; 6x8x14; 7x8x12715 >>> 5x11x13720 >>> 2x18x20; 2x15x24; 3x12x20; 3x15x16; 3x10x24; 4x9x20; 4x10x18; 4x12x15; 5x12x12; 5x9x16; 5x8x18; 5x6x24; 6x6x20; 6x8x15; 6x10x12; 8x9x10756 >>> 21x2x18; 21x3x12; 21x4x9; 21x6x6; 18x14x3; 18x7x6; 14x9x6; 12x9x7850 >>> 25x2x17; 5x10x17935 >>> 5x11x171026 >>> 19x18x3; 19x9x61040 >>> 4x13x20; 5x13x16; 8x10x131080 >>> 3x18x20; 3x15x24; 4x15x18; 5x9x24; 5x12x18; 6x9x20; 6x10x18; 6x12x15; 8x9x15; 9x10x121254 >>> 22x3x19; 19x11x61280 >>> 20x8x8; 20x16x4; 16x10x8; 16x16x51326 >>> 6x13x171360 >>> 4x17x20; 5x16x17; 8x10x171547 >>> 17x13x71989 >>> 9x13x171995 >>> 21x5x19; 19x15x72380 >>> 10x14x17; 20x17x72448 >>> 24x6x17; 12x12x17; 8x17x18; 17x16x92754 >>> 18x17x94080 >>> 10x17x24; 12x17x20; 15x16x174845 >>> 15x17x19

 Author: clm  [ Thu Dec 02, 2021 11:31 am ] Post subject: Re: 25x25 puzzle factor tables skeeter84 wrote:Hello, everyone. Seventeen people have solved the 25x25 as of this message, and I'm sure Patrick and fzpowerman would love to see that number go even higher. To that end, I present you all with 2-cell and 3-cell factor tables. I made factoring tables for myself when I did the 19x19 and 20x20 puzzles, and the stuff I included was "made to order" specifically for them. The list below now covers 1-25 inclusive and may come in handy for solving fzpowerman's 25x25 behemoth. I don't know what exactly you're up against in Patrick's latest puzzle book, but this will hopefully be helpful. Although my lists do not and cannot possibly cover everything, I feel I've covered a decent amount. Enjoy!skeeter84 2 cells ...Thank you for the tables , good compilation job.It will be useful. A comment. Two cells must be contiguous so combinations of the type 2x2, 3x3, 4x4, 5x5, 6x6, 7x7, 8x8, ... are never possible, that is, the table can be simplified a little bit (same for 6x6x6 for 216... ).In the other hand, I observe the lack of other combinations like 100 in two cells (4x25; 5x20), 48 in 3 cells, etc., but it is clear that it's not possible to give all possible factorizations (the number of combinations, only without repetition, of 25 numbers, taken in groups of 3, is 2,300, so the list would be terrible.

 Author: skeeter84  [ Thu Dec 02, 2021 11:50 pm ] Post subject: Re: 25x25 puzzle factor tables Hi, clm - I'm glad you liked my tables. I'm well aware that a 2-cell cage cannot contain the same number. I listed combos with repeat digits in case I come across a scenario like the one below:90x in 3 cells and this cage contains a 10. The remaining product is 90/10 = 9. There are 2 ways to get the product of 9: 1x9 and 3x3. If this cage were in a straight line, 10x3x3 would be impossible since 3 repeats within a row or column. If, on the other hand, the cage in question were L-shaped, 10x3x3 COULD be the correct answer. I made no distinction between L-shaped and straight line cages for my 3-cell combos, and my list covers both shapes simultaneously. Once again, I made my original combo tables for the 19x19 and 20x20 puzzles. In a 9x9 or 10x10 puzzle, 8x9 is the only way to get a product of 72 with 2 digits. In a 12x12, though, the answer might be 12x6 instead. When solving puzzles of different sizes, I simply exclude any combos with numbers above the puzzle's maximum digit. I probably should include more combos into my tables whenever I have time, though.skeeter84

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