***************************************************************************** * www.FindStat.org - The Combinatorial Statistic Finder * * * * Copyright (C) 2019 The FindStatCrew * * * * This information is distributed in the hope that it will be useful, * * but WITHOUT ANY WARRANTY; without even the implied warranty of * * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. * ***************************************************************************** ----------------------------------------------------------------------------- Statistic identifier: St001178 ----------------------------------------------------------------------------- Collection: Integer partitions ----------------------------------------------------------------------------- Description: Twelve times the variance of the major index among all standard Young tableaux of a partition. For a partition $\lambda$ of $n$, this variance is given in [1, Proposition 3.2] by $$\frac{1}{12}\Big(\sum_{k = 1}^n i^2 - \sum_{i,j \in \lambda} h_{ij}^2\Big),$$ where the second sum ranges over all cells in $\lambda$ and $h_{ij}$ is the hook length of the cell $(i,j) \in \lambda$. ----------------------------------------------------------------------------- References: [1] , Adin, R. M., Roichman, Y. Descent functions and random Young tableaux [[MathSciNet:1841639]] [[arXiv:math/9910165]] ----------------------------------------------------------------------------- Code: def statistic(L): n = sum(L) return sum(i^2 for i in [1 .. n] - sum(i^2 for h in L.hook_lengths() for i in h) ----------------------------------------------------------------------------- Statistic values: [1] => 0 [2] => 0 [1,1] => 0 [3] => 0 [2,1] => 3 [1,1,1] => 0 [4] => 0 [3,1] => 8 [2,2] => 12 [2,1,1] => 8 [1,1,1,1] => 0 [5] => 0 [4,1] => 15 [3,2] => 24 [3,1,1] => 20 [2,2,1] => 24 [2,1,1,1] => 15 [1,1,1,1,1] => 0 [6] => 0 [5,1] => 24 [4,2] => 40 [4,1,1] => 36 [3,3] => 48 [3,2,1] => 45 [3,1,1,1] => 36 [2,2,2] => 48 [2,2,1,1] => 40 [2,1,1,1,1] => 24 [1,1,1,1,1,1] => 0 [7] => 0 [6,1] => 35 [5,2] => 60 [5,1,1] => 56 [4,3] => 75 [4,2,1] => 72 [4,1,1,1] => 63 [3,3,1] => 80 [3,2,2] => 80 [3,2,1,1] => 72 [3,1,1,1,1] => 56 [2,2,2,1] => 75 [2,2,1,1,1] => 60 [2,1,1,1,1,1] => 35 [1,1,1,1,1,1,1] => 0 [8] => 0 [7,1] => 48 [6,2] => 84 [6,1,1] => 80 [5,3] => 108 [5,2,1] => 105 [5,1,1,1] => 96 [4,4] => 120 [4,3,1] => 120 [4,2,2] => 120 [4,2,1,1] => 112 [4,1,1,1,1] => 96 [3,3,2] => 128 [3,3,1,1] => 120 [3,2,2,1] => 120 [3,2,1,1,1] => 105 [3,1,1,1,1,1] => 80 [2,2,2,2] => 120 [2,2,2,1,1] => 108 [2,2,1,1,1,1] => 84 [2,1,1,1,1,1,1] => 48 [1,1,1,1,1,1,1,1] => 0 [9] => 0 [8,1] => 63 [7,2] => 112 [7,1,1] => 108 [6,3] => 147 [6,2,1] => 144 [6,1,1,1] => 135 [5,4] => 168 [5,3,1] => 168 [5,2,2] => 168 [5,2,1,1] => 160 [5,1,1,1,1] => 144 [4,4,1] => 180 [4,3,2] => 183 [4,3,1,1] => 175 [4,2,2,1] => 175 [4,2,1,1,1] => 160 [4,1,1,1,1,1] => 135 [3,3,3] => 192 [3,3,2,1] => 183 [3,3,1,1,1] => 168 [3,2,2,2] => 180 [3,2,2,1,1] => 168 [3,2,1,1,1,1] => 144 [3,1,1,1,1,1,1] => 108 [2,2,2,2,1] => 168 [2,2,2,1,1,1] => 147 [2,2,1,1,1,1,1] => 112 [2,1,1,1,1,1,1,1] => 63 [1,1,1,1,1,1,1,1,1] => 0 [10] => 0 [9,1] => 80 [8,2] => 144 [8,1,1] => 140 [7,3] => 192 [7,2,1] => 189 [7,1,1,1] => 180 [6,4] => 224 [6,3,1] => 224 [6,2,2] => 224 [6,2,1,1] => 216 [6,1,1,1,1] => 200 [5,5] => 240 [5,4,1] => 245 [5,3,2] => 248 [5,3,1,1] => 240 [5,2,2,1] => 240 [5,2,1,1,1] => 225 [5,1,1,1,1,1] => 200 [4,4,2] => 260 [4,4,1,1] => 252 [4,3,3] => 264 [4,3,2,1] => 255 [4,3,1,1,1] => 240 [4,2,2,2] => 252 [4,2,2,1,1] => 240 [4,2,1,1,1,1] => 216 [4,1,1,1,1,1,1] => 180 [3,3,3,1] => 264 [3,3,2,2] => 260 [3,3,2,1,1] => 248 [3,3,1,1,1,1] => 224 [3,2,2,2,1] => 245 [3,2,2,1,1,1] => 224 [3,2,1,1,1,1,1] => 189 [3,1,1,1,1,1,1,1] => 140 [2,2,2,2,2] => 240 [2,2,2,2,1,1] => 224 [2,2,2,1,1,1,1] => 192 [2,2,1,1,1,1,1,1] => 144 [2,1,1,1,1,1,1,1,1] => 80 [1,1,1,1,1,1,1,1,1,1] => 0 [11] => 0 [10,1] => 99 [9,2] => 180 [9,1,1] => 176 [8,3] => 243 [8,2,1] => 240 [8,1,1,1] => 231 [7,4] => 288 [7,3,1] => 288 [7,2,2] => 288 [7,2,1,1] => 280 [7,1,1,1,1] => 264 [6,5] => 315 [6,4,1] => 320 [6,3,2] => 323 [6,3,1,1] => 315 [6,2,2,1] => 315 [6,2,1,1,1] => 300 [6,1,1,1,1,1] => 275 [5,5,1] => 336 [5,4,2] => 344 [5,4,1,1] => 336 [5,3,3] => 348 [5,3,2,1] => 339 [5,3,1,1,1] => 324 [5,2,2,2] => 336 [5,2,2,1,1] => 324 [5,2,1,1,1,1] => 300 [5,1,1,1,1,1,1] => 264 [4,4,3] => 360 [4,4,2,1] => 351 [4,4,1,1,1] => 336 [4,3,3,1] => 355 [4,3,2,2] => 351 [4,3,2,1,1] => 339 [4,3,1,1,1,1] => 315 [4,2,2,2,1] => 336 [4,2,2,1,1,1] => 315 [4,2,1,1,1,1,1] => 280 [4,1,1,1,1,1,1,1] => 231 [3,3,3,2] => 360 [3,3,3,1,1] => 348 [3,3,2,2,1] => 344 [3,3,2,1,1,1] => 323 [3,3,1,1,1,1,1] => 288 [3,2,2,2,2] => 336 [3,2,2,2,1,1] => 320 [3,2,2,1,1,1,1] => 288 [3,2,1,1,1,1,1,1] => 240 [3,1,1,1,1,1,1,1,1] => 176 [2,2,2,2,2,1] => 315 [2,2,2,2,1,1,1] => 288 [2,2,2,1,1,1,1,1] => 243 [2,2,1,1,1,1,1,1,1] => 180 [2,1,1,1,1,1,1,1,1,1] => 99 [1,1,1,1,1,1,1,1,1,1,1] => 0 [12] => 0 [11,1] => 120 [10,2] => 220 [10,1,1] => 216 [9,3] => 300 [9,2,1] => 297 [9,1,1,1] => 288 [8,4] => 360 [8,3,1] => 360 [8,2,2] => 360 [8,2,1,1] => 352 [8,1,1,1,1] => 336 [7,5] => 400 [7,4,1] => 405 [7,3,2] => 408 [7,3,1,1] => 400 [7,2,2,1] => 400 [7,2,1,1,1] => 385 [7,1,1,1,1,1] => 360 [6,6] => 420 [6,5,1] => 432 [6,4,2] => 440 [6,4,1,1] => 432 [6,3,3] => 444 [6,3,2,1] => 435 [6,3,1,1,1] => 420 [6,2,2,2] => 432 [6,2,2,1,1] => 420 [6,2,1,1,1,1] => 396 [6,1,1,1,1,1,1] => 360 [5,5,2] => 456 [5,5,1,1] => 448 [5,4,3] => 465 [5,4,2,1] => 456 [5,4,1,1,1] => 441 [5,3,3,1] => 460 [5,3,2,2] => 456 [5,3,2,1,1] => 444 [5,3,1,1,1,1] => 420 [5,2,2,2,1] => 441 [5,2,2,1,1,1] => 420 [5,2,1,1,1,1,1] => 385 [5,1,1,1,1,1,1,1] => 336 [4,4,4] => 480 [4,4,3,1] => 472 [4,4,2,2] => 468 [4,4,2,1,1] => 456 [4,4,1,1,1,1] => 432 [4,3,3,2] => 472 [4,3,3,1,1] => 460 [4,3,2,2,1] => 456 [4,3,2,1,1,1] => 435 [4,3,1,1,1,1,1] => 400 [4,2,2,2,2] => 448 [4,2,2,2,1,1] => 432 [4,2,2,1,1,1,1] => 400 [4,2,1,1,1,1,1,1] => 352 [4,1,1,1,1,1,1,1,1] => 288 [3,3,3,3] => 480 [3,3,3,2,1] => 465 [3,3,3,1,1,1] => 444 [3,3,2,2,2] => 456 [3,3,2,2,1,1] => 440 [3,3,2,1,1,1,1] => 408 [3,3,1,1,1,1,1,1] => 360 [3,2,2,2,2,1] => 432 [3,2,2,2,1,1,1] => 405 [3,2,2,1,1,1,1,1] => 360 [3,2,1,1,1,1,1,1,1] => 297 [3,1,1,1,1,1,1,1,1,1] => 216 [2,2,2,2,2,2] => 420 [2,2,2,2,2,1,1] => 400 [2,2,2,2,1,1,1,1] => 360 [2,2,2,1,1,1,1,1,1] => 300 [2,2,1,1,1,1,1,1,1,1] => 220 [2,1,1,1,1,1,1,1,1,1,1] => 120 [1,1,1,1,1,1,1,1,1,1,1,1] => 0 [13] => 0 [12,1] => 143 [11,2] => 264 [11,1,1] => 260 [10,3] => 363 [10,2,1] => 360 [10,1,1,1] => 351 [9,4] => 440 [9,3,1] => 440 [9,2,2] => 440 [9,2,1,1] => 432 [9,1,1,1,1] => 416 [8,5] => 495 [8,4,1] => 500 [8,3,2] => 503 [8,3,1,1] => 495 [8,2,2,1] => 495 [8,2,1,1,1] => 480 [8,1,1,1,1,1] => 455 [7,6] => 528 [7,5,1] => 540 [7,4,2] => 548 [7,4,1,1] => 540 [7,3,3] => 552 [7,3,2,1] => 543 [7,3,1,1,1] => 528 [7,2,2,2] => 540 [7,2,2,1,1] => 528 [7,2,1,1,1,1] => 504 [7,1,1,1,1,1,1] => 468 [6,6,1] => 560 [6,5,2] => 575 [6,5,1,1] => 567 [6,4,3] => 584 [6,4,2,1] => 575 [6,4,1,1,1] => 560 [6,3,3,1] => 579 [6,3,2,2] => 575 [6,3,2,1,1] => 563 [6,3,1,1,1,1] => 539 [6,2,2,2,1] => 560 [6,2,2,1,1,1] => 539 [6,2,1,1,1,1,1] => 504 [6,1,1,1,1,1,1,1] => 455 [5,5,3] => 600 [5,5,2,1] => 591 [5,5,1,1,1] => 576 [5,4,4] => 608 [5,4,3,1] => 600 [5,4,2,2] => 596 [5,4,2,1,1] => 584 [5,4,1,1,1,1] => 560 [5,3,3,2] => 600 [5,3,3,1,1] => 588 [5,3,2,2,1] => 584 [5,3,2,1,1,1] => 563 [5,3,1,1,1,1,1] => 528 [5,2,2,2,2] => 576 [5,2,2,2,1,1] => 560 [5,2,2,1,1,1,1] => 528 [5,2,1,1,1,1,1,1] => 480 [5,1,1,1,1,1,1,1,1] => 416 [4,4,4,1] => 615 [4,4,3,2] => 612 [4,4,3,1,1] => 600 [4,4,2,2,1] => 596 [4,4,2,1,1,1] => 575 [4,4,1,1,1,1,1] => 540 [4,3,3,3] => 615 [4,3,3,2,1] => 600 [4,3,3,1,1,1] => 579 [4,3,2,2,2] => 591 [4,3,2,2,1,1] => 575 [4,3,2,1,1,1,1] => 543 [4,3,1,1,1,1,1,1] => 495 [4,2,2,2,2,1] => 567 [4,2,2,2,1,1,1] => 540 [4,2,2,1,1,1,1,1] => 495 [4,2,1,1,1,1,1,1,1] => 432 [4,1,1,1,1,1,1,1,1,1] => 351 [3,3,3,3,1] => 608 [3,3,3,2,2] => 600 [3,3,3,2,1,1] => 584 [3,3,3,1,1,1,1] => 552 [3,3,2,2,2,1] => 575 [3,3,2,2,1,1,1] => 548 [3,3,2,1,1,1,1,1] => 503 [3,3,1,1,1,1,1,1,1] => 440 [3,2,2,2,2,2] => 560 [3,2,2,2,2,1,1] => 540 [3,2,2,2,1,1,1,1] => 500 [3,2,2,1,1,1,1,1,1] => 440 [3,2,1,1,1,1,1,1,1,1] => 360 [3,1,1,1,1,1,1,1,1,1,1] => 260 [2,2,2,2,2,2,1] => 528 [2,2,2,2,2,1,1,1] => 495 [2,2,2,2,1,1,1,1,1] => 440 [2,2,2,1,1,1,1,1,1,1] => 363 [2,2,1,1,1,1,1,1,1,1,1] => 264 [2,1,1,1,1,1,1,1,1,1,1,1] => 143 [1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [14] => 0 [13,1] => 168 [12,2] => 312 [12,1,1] => 308 [11,3] => 432 [11,2,1] => 429 [11,1,1,1] => 420 [10,4] => 528 [10,3,1] => 528 [10,2,2] => 528 [10,2,1,1] => 520 [10,1,1,1,1] => 504 [9,5] => 600 [9,4,1] => 605 [9,3,2] => 608 [9,3,1,1] => 600 [9,2,2,1] => 600 [9,2,1,1,1] => 585 [9,1,1,1,1,1] => 560 [8,6] => 648 [8,5,1] => 660 [8,4,2] => 668 [8,4,1,1] => 660 [8,3,3] => 672 [8,3,2,1] => 663 [8,3,1,1,1] => 648 [8,2,2,2] => 660 [8,2,2,1,1] => 648 [8,2,1,1,1,1] => 624 [8,1,1,1,1,1,1] => 588 [7,7] => 672 [7,6,1] => 693 [7,5,2] => 708 [7,5,1,1] => 700 [7,4,3] => 717 [7,4,2,1] => 708 [7,4,1,1,1] => 693 [7,3,3,1] => 712 [7,3,2,2] => 708 [7,3,2,1,1] => 696 [7,3,1,1,1,1] => 672 [7,2,2,2,1] => 693 [7,2,2,1,1,1] => 672 [7,2,1,1,1,1,1] => 637 [7,1,1,1,1,1,1,1] => 588 [6,6,2] => 728 [6,6,1,1] => 720 [6,5,3] => 744 [6,5,2,1] => 735 [6,5,1,1,1] => 720 [6,4,4] => 752 [6,4,3,1] => 744 [6,4,2,2] => 740 [6,4,2,1,1] => 728 [6,4,1,1,1,1] => 704 [6,3,3,2] => 744 [6,3,3,1,1] => 732 [6,3,2,2,1] => 728 [6,3,2,1,1,1] => 707 [6,3,1,1,1,1,1] => 672 [6,2,2,2,2] => 720 [6,2,2,2,1,1] => 704 [6,2,2,1,1,1,1] => 672 [6,2,1,1,1,1,1,1] => 624 [6,1,1,1,1,1,1,1,1] => 560 [5,5,4] => 768 [5,5,3,1] => 760 [5,5,2,2] => 756 [5,5,2,1,1] => 744 [5,5,1,1,1,1] => 720 [5,4,4,1] => 768 [5,4,3,2] => 765 [5,4,3,1,1] => 753 [5,4,2,2,1] => 749 [5,4,2,1,1,1] => 728 [5,4,1,1,1,1,1] => 693 [5,3,3,3] => 768 [5,3,3,2,1] => 753 [5,3,3,1,1,1] => 732 [5,3,2,2,2] => 744 [5,3,2,2,1,1] => 728 [5,3,2,1,1,1,1] => 696 [5,3,1,1,1,1,1,1] => 648 [5,2,2,2,2,1] => 720 [5,2,2,2,1,1,1] => 693 [5,2,2,1,1,1,1,1] => 648 [5,2,1,1,1,1,1,1,1] => 585 [5,1,1,1,1,1,1,1,1,1] => 504 [4,4,4,2] => 780 [4,4,4,1,1] => 768 [4,4,3,3] => 780 [4,4,3,2,1] => 765 [4,4,3,1,1,1] => 744 [4,4,2,2,2] => 756 [4,4,2,2,1,1] => 740 [4,4,2,1,1,1,1] => 708 [4,4,1,1,1,1,1,1] => 660 [4,3,3,3,1] => 768 [4,3,3,2,2] => 760 [4,3,3,2,1,1] => 744 [4,3,3,1,1,1,1] => 712 [4,3,2,2,2,1] => 735 [4,3,2,2,1,1,1] => 708 [4,3,2,1,1,1,1,1] => 663 [4,3,1,1,1,1,1,1,1] => 600 [4,2,2,2,2,2] => 720 [4,2,2,2,2,1,1] => 700 [4,2,2,2,1,1,1,1] => 660 [4,2,2,1,1,1,1,1,1] => 600 [4,2,1,1,1,1,1,1,1,1] => 520 [4,1,1,1,1,1,1,1,1,1,1] => 420 [3,3,3,3,2] => 768 [3,3,3,3,1,1] => 752 [3,3,3,2,2,1] => 744 [3,3,3,2,1,1,1] => 717 [3,3,3,1,1,1,1,1] => 672 [3,3,2,2,2,2] => 728 [3,3,2,2,2,1,1] => 708 [3,3,2,2,1,1,1,1] => 668 [3,3,2,1,1,1,1,1,1] => 608 [3,3,1,1,1,1,1,1,1,1] => 528 [3,2,2,2,2,2,1] => 693 [3,2,2,2,2,1,1,1] => 660 [3,2,2,2,1,1,1,1,1] => 605 [3,2,2,1,1,1,1,1,1,1] => 528 [3,2,1,1,1,1,1,1,1,1,1] => 429 [3,1,1,1,1,1,1,1,1,1,1,1] => 308 [2,2,2,2,2,2,2] => 672 [2,2,2,2,2,2,1,1] => 648 [2,2,2,2,2,1,1,1,1] => 600 [2,2,2,2,1,1,1,1,1,1] => 528 [2,2,2,1,1,1,1,1,1,1,1] => 432 [2,2,1,1,1,1,1,1,1,1,1,1] => 312 [2,1,1,1,1,1,1,1,1,1,1,1,1] => 168 [1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [15] => 0 [14,1] => 195 [13,2] => 364 [13,1,1] => 360 [12,3] => 507 [12,2,1] => 504 [12,1,1,1] => 495 [11,4] => 624 [11,3,1] => 624 [11,2,2] => 624 [11,2,1,1] => 616 [11,1,1,1,1] => 600 [10,5] => 715 [10,4,1] => 720 [10,3,2] => 723 [10,3,1,1] => 715 [10,2,2,1] => 715 [10,2,1,1,1] => 700 [10,1,1,1,1,1] => 675 [9,6] => 780 [9,5,1] => 792 [9,4,2] => 800 [9,4,1,1] => 792 [9,3,3] => 804 [9,3,2,1] => 795 [9,3,1,1,1] => 780 [9,2,2,2] => 792 [9,2,2,1,1] => 780 [9,2,1,1,1,1] => 756 [9,1,1,1,1,1,1] => 720 [8,7] => 819 [8,6,1] => 840 [8,5,2] => 855 [8,5,1,1] => 847 [8,4,3] => 864 [8,4,2,1] => 855 [8,4,1,1,1] => 840 [8,3,3,1] => 859 [8,3,2,2] => 855 [8,3,2,1,1] => 843 [8,3,1,1,1,1] => 819 [8,2,2,2,1] => 840 [8,2,2,1,1,1] => 819 [8,2,1,1,1,1,1] => 784 [8,1,1,1,1,1,1,1] => 735 [7,7,1] => 864 [7,6,2] => 888 [7,6,1,1] => 880 [7,5,3] => 904 [7,5,2,1] => 895 [7,5,1,1,1] => 880 [7,4,4] => 912 [7,4,3,1] => 904 [7,4,2,2] => 900 [7,4,2,1,1] => 888 [7,4,1,1,1,1] => 864 [7,3,3,2] => 904 [7,3,3,1,1] => 892 [7,3,2,2,1] => 888 [7,3,2,1,1,1] => 867 [7,3,1,1,1,1,1] => 832 [7,2,2,2,2] => 880 [7,2,2,2,1,1] => 864 [7,2,2,1,1,1,1] => 832 [7,2,1,1,1,1,1,1] => 784 [7,1,1,1,1,1,1,1,1] => 720 [6,6,3] => 924 [6,6,2,1] => 915 [6,6,1,1,1] => 900 [6,5,4] => 939 [6,5,3,1] => 931 [6,5,2,2] => 927 [6,5,2,1,1] => 915 [6,5,1,1,1,1] => 891 [6,4,4,1] => 939 [6,4,3,2] => 936 [6,4,3,1,1] => 924 [6,4,2,2,1] => 920 [6,4,2,1,1,1] => 899 [6,4,1,1,1,1,1] => 864 [6,3,3,3] => 939 [6,3,3,2,1] => 924 [6,3,3,1,1,1] => 903 [6,3,2,2,2] => 915 [6,3,2,2,1,1] => 899 [6,3,2,1,1,1,1] => 867 [6,3,1,1,1,1,1,1] => 819 [6,2,2,2,2,1] => 891 [6,2,2,2,1,1,1] => 864 [6,2,2,1,1,1,1,1] => 819 [6,2,1,1,1,1,1,1,1] => 756 [6,1,1,1,1,1,1,1,1,1] => 675 [5,5,5] => 960 [5,5,4,1] => 955 [5,5,3,2] => 952 [5,5,3,1,1] => 940 [5,5,2,2,1] => 936 [5,5,2,1,1,1] => 915 [5,5,1,1,1,1,1] => 880 [5,4,4,2] => 960 [5,4,4,1,1] => 948 [5,4,3,3] => 960 [5,4,3,2,1] => 945 [5,4,3,1,1,1] => 924 [5,4,2,2,2] => 936 [5,4,2,2,1,1] => 920 [5,4,2,1,1,1,1] => 888 [5,4,1,1,1,1,1,1] => 840 [5,3,3,3,1] => 948 [5,3,3,2,2] => 940 [5,3,3,2,1,1] => 924 [5,3,3,1,1,1,1] => 892 [5,3,2,2,2,1] => 915 [5,3,2,2,1,1,1] => 888 [5,3,2,1,1,1,1,1] => 843 [5,3,1,1,1,1,1,1,1] => 780 [5,2,2,2,2,2] => 900 [5,2,2,2,2,1,1] => 880 [5,2,2,2,1,1,1,1] => 840 [5,2,2,1,1,1,1,1,1] => 780 [5,2,1,1,1,1,1,1,1,1] => 700 [5,1,1,1,1,1,1,1,1,1,1] => 600 [4,4,4,3] => 975 [4,4,4,2,1] => 960 [4,4,4,1,1,1] => 939 [4,4,3,3,1] => 960 [4,4,3,2,2] => 952 [4,4,3,2,1,1] => 936 [4,4,3,1,1,1,1] => 904 [4,4,2,2,2,1] => 927 [4,4,2,2,1,1,1] => 900 [4,4,2,1,1,1,1,1] => 855 [4,4,1,1,1,1,1,1,1] => 792 [4,3,3,3,2] => 955 [4,3,3,3,1,1] => 939 [4,3,3,2,2,1] => 931 [4,3,3,2,1,1,1] => 904 [4,3,3,1,1,1,1,1] => 859 [4,3,2,2,2,2] => 915 [4,3,2,2,2,1,1] => 895 [4,3,2,2,1,1,1,1] => 855 [4,3,2,1,1,1,1,1,1] => 795 [4,3,1,1,1,1,1,1,1,1] => 715 [4,2,2,2,2,2,1] => 880 [4,2,2,2,2,1,1,1] => 847 [4,2,2,2,1,1,1,1,1] => 792 [4,2,2,1,1,1,1,1,1,1] => 715 [4,2,1,1,1,1,1,1,1,1,1] => 616 [4,1,1,1,1,1,1,1,1,1,1,1] => 495 [3,3,3,3,3] => 960 [3,3,3,3,2,1] => 939 [3,3,3,3,1,1,1] => 912 [3,3,3,2,2,2] => 924 [3,3,3,2,2,1,1] => 904 [3,3,3,2,1,1,1,1] => 864 [3,3,3,1,1,1,1,1,1] => 804 [3,3,2,2,2,2,1] => 888 [3,3,2,2,2,1,1,1] => 855 [3,3,2,2,1,1,1,1,1] => 800 [3,3,2,1,1,1,1,1,1,1] => 723 [3,3,1,1,1,1,1,1,1,1,1] => 624 [3,2,2,2,2,2,2] => 864 [3,2,2,2,2,2,1,1] => 840 [3,2,2,2,2,1,1,1,1] => 792 [3,2,2,2,1,1,1,1,1,1] => 720 [3,2,2,1,1,1,1,1,1,1,1] => 624 [3,2,1,1,1,1,1,1,1,1,1,1] => 504 [3,1,1,1,1,1,1,1,1,1,1,1,1] => 360 [2,2,2,2,2,2,2,1] => 819 [2,2,2,2,2,2,1,1,1] => 780 [2,2,2,2,2,1,1,1,1,1] => 715 [2,2,2,2,1,1,1,1,1,1,1] => 624 [2,2,2,1,1,1,1,1,1,1,1,1] => 507 [2,2,1,1,1,1,1,1,1,1,1,1,1] => 364 [2,1,1,1,1,1,1,1,1,1,1,1,1,1] => 195 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [16] => 0 [15,1] => 224 [14,2] => 420 [14,1,1] => 416 [13,3] => 588 [13,2,1] => 585 [13,1,1,1] => 576 [12,4] => 728 [12,3,1] => 728 [12,2,2] => 728 [12,2,1,1] => 720 [12,1,1,1,1] => 704 [11,5] => 840 [11,4,1] => 845 [11,3,2] => 848 [11,3,1,1] => 840 [11,2,2,1] => 840 [11,2,1,1,1] => 825 [11,1,1,1,1,1] => 800 [10,6] => 924 [10,5,1] => 936 [10,4,2] => 944 [10,4,1,1] => 936 [10,3,3] => 948 [10,3,2,1] => 939 [10,3,1,1,1] => 924 [10,2,2,2] => 936 [10,2,2,1,1] => 924 [10,2,1,1,1,1] => 900 [10,1,1,1,1,1,1] => 864 [9,7] => 980 [9,6,1] => 1001 [9,5,2] => 1016 [9,5,1,1] => 1008 [9,4,3] => 1025 [9,4,2,1] => 1016 [9,4,1,1,1] => 1001 [9,3,3,1] => 1020 [9,3,2,2] => 1016 [9,3,2,1,1] => 1004 [9,3,1,1,1,1] => 980 [9,2,2,2,1] => 1001 [9,2,2,1,1,1] => 980 [9,2,1,1,1,1,1] => 945 [9,1,1,1,1,1,1,1] => 896 [8,8] => 1008 [8,7,1] => 1040 [8,6,2] => 1064 [8,6,1,1] => 1056 [8,5,3] => 1080 [8,5,2,1] => 1071 [8,5,1,1,1] => 1056 [8,4,4] => 1088 [8,4,3,1] => 1080 [8,4,2,2] => 1076 [8,4,2,1,1] => 1064 [8,4,1,1,1,1] => 1040 [8,3,3,2] => 1080 [8,3,3,1,1] => 1068 [8,3,2,2,1] => 1064 [8,3,2,1,1,1] => 1043 [8,3,1,1,1,1,1] => 1008 [8,2,2,2,2] => 1056 [8,2,2,2,1,1] => 1040 [8,2,2,1,1,1,1] => 1008 [8,2,1,1,1,1,1,1] => 960 [8,1,1,1,1,1,1,1,1] => 896 [7,7,2] => 1088 [7,7,1,1] => 1080 [7,6,3] => 1113 [7,6,2,1] => 1104 [7,6,1,1,1] => 1089 [7,5,4] => 1128 [7,5,3,1] => 1120 [7,5,2,2] => 1116 [7,5,2,1,1] => 1104 [7,5,1,1,1,1] => 1080 [7,4,4,1] => 1128 [7,4,3,2] => 1125 [7,4,3,1,1] => 1113 [7,4,2,2,1] => 1109 [7,4,2,1,1,1] => 1088 [7,4,1,1,1,1,1] => 1053 [7,3,3,3] => 1128 [7,3,3,2,1] => 1113 [7,3,3,1,1,1] => 1092 [7,3,2,2,2] => 1104 [7,3,2,2,1,1] => 1088 [7,3,2,1,1,1,1] => 1056 [7,3,1,1,1,1,1,1] => 1008 [7,2,2,2,2,1] => 1080 [7,2,2,2,1,1,1] => 1053 [7,2,2,1,1,1,1,1] => 1008 [7,2,1,1,1,1,1,1,1] => 945 [7,1,1,1,1,1,1,1,1,1] => 864 [6,6,4] => 1148 [6,6,3,1] => 1140 [6,6,2,2] => 1136 [6,6,2,1,1] => 1124 [6,6,1,1,1,1] => 1100 [6,5,5] => 1160 [6,5,4,1] => 1155 [6,5,3,2] => 1152 [6,5,3,1,1] => 1140 [6,5,2,2,1] => 1136 [6,5,2,1,1,1] => 1115 [6,5,1,1,1,1,1] => 1080 [6,4,4,2] => 1160 [6,4,4,1,1] => 1148 [6,4,3,3] => 1160 [6,4,3,2,1] => 1145 [6,4,3,1,1,1] => 1124 [6,4,2,2,2] => 1136 [6,4,2,2,1,1] => 1120 [6,4,2,1,1,1,1] => 1088 [6,4,1,1,1,1,1,1] => 1040 [6,3,3,3,1] => 1148 [6,3,3,2,2] => 1140 [6,3,3,2,1,1] => 1124 [6,3,3,1,1,1,1] => 1092 [6,3,2,2,2,1] => 1115 [6,3,2,2,1,1,1] => 1088 [6,3,2,1,1,1,1,1] => 1043 [6,3,1,1,1,1,1,1,1] => 980 [6,2,2,2,2,2] => 1100 [6,2,2,2,2,1,1] => 1080 [6,2,2,2,1,1,1,1] => 1040 [6,2,2,1,1,1,1,1,1] => 980 [6,2,1,1,1,1,1,1,1,1] => 900 [6,1,1,1,1,1,1,1,1,1,1] => 800 [5,5,5,1] => 1176 [5,5,4,2] => 1176 [5,5,4,1,1] => 1164 [5,5,3,3] => 1176 [5,5,3,2,1] => 1161 [5,5,3,1,1,1] => 1140 [5,5,2,2,2] => 1152 [5,5,2,2,1,1] => 1136 [5,5,2,1,1,1,1] => 1104 [5,5,1,1,1,1,1,1] => 1056 [5,4,4,3] => 1184 [5,4,4,2,1] => 1169 [5,4,4,1,1,1] => 1148 [5,4,3,3,1] => 1169 [5,4,3,2,2] => 1161 [5,4,3,2,1,1] => 1145 [5,4,3,1,1,1,1] => 1113 [5,4,2,2,2,1] => 1136 [5,4,2,2,1,1,1] => 1109 [5,4,2,1,1,1,1,1] => 1064 [5,4,1,1,1,1,1,1,1] => 1001 [5,3,3,3,2] => 1164 [5,3,3,3,1,1] => 1148 [5,3,3,2,2,1] => 1140 [5,3,3,2,1,1,1] => 1113 [5,3,3,1,1,1,1,1] => 1068 [5,3,2,2,2,2] => 1124 [5,3,2,2,2,1,1] => 1104 [5,3,2,2,1,1,1,1] => 1064 [5,3,2,1,1,1,1,1,1] => 1004 [5,3,1,1,1,1,1,1,1,1] => 924 [5,2,2,2,2,2,1] => 1089 [5,2,2,2,2,1,1,1] => 1056 [5,2,2,2,1,1,1,1,1] => 1001 [5,2,2,1,1,1,1,1,1,1] => 924 [5,2,1,1,1,1,1,1,1,1,1] => 825 [5,1,1,1,1,1,1,1,1,1,1,1] => 704 [4,4,4,4] => 1200 [4,4,4,3,1] => 1184 [4,4,4,2,2] => 1176 [4,4,4,2,1,1] => 1160 [4,4,4,1,1,1,1] => 1128 [4,4,3,3,2] => 1176 [4,4,3,3,1,1] => 1160 [4,4,3,2,2,1] => 1152 [4,4,3,2,1,1,1] => 1125 [4,4,3,1,1,1,1,1] => 1080 [4,4,2,2,2,2] => 1136 [4,4,2,2,2,1,1] => 1116 [4,4,2,2,1,1,1,1] => 1076 [4,4,2,1,1,1,1,1,1] => 1016 [4,4,1,1,1,1,1,1,1,1] => 936 [4,3,3,3,3] => 1176 [4,3,3,3,2,1] => 1155 [4,3,3,3,1,1,1] => 1128 [4,3,3,2,2,2] => 1140 [4,3,3,2,2,1,1] => 1120 [4,3,3,2,1,1,1,1] => 1080 [4,3,3,1,1,1,1,1,1] => 1020 [4,3,2,2,2,2,1] => 1104 [4,3,2,2,2,1,1,1] => 1071 [4,3,2,2,1,1,1,1,1] => 1016 [4,3,2,1,1,1,1,1,1,1] => 939 [4,3,1,1,1,1,1,1,1,1,1] => 840 [4,2,2,2,2,2,2] => 1080 [4,2,2,2,2,2,1,1] => 1056 [4,2,2,2,2,1,1,1,1] => 1008 [4,2,2,2,1,1,1,1,1,1] => 936 [4,2,2,1,1,1,1,1,1,1,1] => 840 [4,2,1,1,1,1,1,1,1,1,1,1] => 720 [4,1,1,1,1,1,1,1,1,1,1,1,1] => 576 [3,3,3,3,3,1] => 1160 [3,3,3,3,2,2] => 1148 [3,3,3,3,2,1,1] => 1128 [3,3,3,3,1,1,1,1] => 1088 [3,3,3,2,2,2,1] => 1113 [3,3,3,2,2,1,1,1] => 1080 [3,3,3,2,1,1,1,1,1] => 1025 [3,3,3,1,1,1,1,1,1,1] => 948 [3,3,2,2,2,2,2] => 1088 [3,3,2,2,2,2,1,1] => 1064 [3,3,2,2,2,1,1,1,1] => 1016 [3,3,2,2,1,1,1,1,1,1] => 944 [3,3,2,1,1,1,1,1,1,1,1] => 848 [3,3,1,1,1,1,1,1,1,1,1,1] => 728 [3,2,2,2,2,2,2,1] => 1040 [3,2,2,2,2,2,1,1,1] => 1001 [3,2,2,2,2,1,1,1,1,1] => 936 [3,2,2,2,1,1,1,1,1,1,1] => 845 [3,2,2,1,1,1,1,1,1,1,1,1] => 728 [3,2,1,1,1,1,1,1,1,1,1,1,1] => 585 [3,1,1,1,1,1,1,1,1,1,1,1,1,1] => 416 [2,2,2,2,2,2,2,2] => 1008 [2,2,2,2,2,2,2,1,1] => 980 [2,2,2,2,2,2,1,1,1,1] => 924 [2,2,2,2,2,1,1,1,1,1,1] => 840 [2,2,2,2,1,1,1,1,1,1,1,1] => 728 [2,2,2,1,1,1,1,1,1,1,1,1,1] => 588 [2,2,1,1,1,1,1,1,1,1,1,1,1,1] => 420 [2,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 224 [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] => 0 [17] => 0 [16,1] => 255 [15,2] => 480 [15,1,1] => 476 [14,3] => 675 [14,2,1] => 672 [14,1,1,1] => 663 [13,4] => 840 [13,3,1] => 840 [13,2,2] => 840 [13,2,1,1] => 832 [13,1,1,1,1] => 816 [12,5] => 975 [12,4,1] => 980 [12,3,2] => 983 [12,3,1,1] => 975 [12,2,2,1] => 975 [12,2,1,1,1] => 960 [12,1,1,1,1,1] => 935 [11,6] => 1080 [11,5,1] => 1092 [11,4,2] => 1100 [11,4,1,1] => 1092 [11,3,3] => 1104 [11,3,2,1] => 1095 [11,3,1,1,1] => 1080 [11,2,2,2] => 1092 [11,2,2,1,1] => 1080 [11,2,1,1,1,1] => 1056 [11,1,1,1,1,1,1] => 1020 [10,7] => 1155 [10,6,1] => 1176 [10,5,2] => 1191 [10,5,1,1] => 1183 [10,4,3] => 1200 [10,4,2,1] => 1191 [10,4,1,1,1] => 1176 [10,3,3,1] => 1195 [10,3,2,2] => 1191 [10,3,2,1,1] => 1179 [10,3,1,1,1,1] => 1155 [10,2,2,2,1] => 1176 [10,2,2,1,1,1] => 1155 [10,2,1,1,1,1,1] => 1120 [10,1,1,1,1,1,1,1] => 1071 [9,8] => 1200 [9,7,1] => 1232 [9,6,2] => 1256 [9,6,1,1] => 1248 [9,5,3] => 1272 [9,5,2,1] => 1263 [9,5,1,1,1] => 1248 [9,4,4] => 1280 [9,4,3,1] => 1272 [9,4,2,2] => 1268 [9,4,2,1,1] => 1256 [9,4,1,1,1,1] => 1232 [9,3,3,2] => 1272 [9,3,3,1,1] => 1260 [9,3,2,2,1] => 1256 [9,3,2,1,1,1] => 1235 [9,3,1,1,1,1,1] => 1200 [9,2,2,2,2] => 1248 [9,2,2,2,1,1] => 1232 [9,2,2,1,1,1,1] => 1200 [9,2,1,1,1,1,1,1] => 1152 [9,1,1,1,1,1,1,1,1] => 1088 [8,8,1] => 1260 [8,7,2] => 1295 [8,7,1,1] => 1287 [8,6,3] => 1320 [8,6,2,1] => 1311 [8,6,1,1,1] => 1296 [8,5,4] => 1335 [8,5,3,1] => 1327 [8,5,2,2] => 1323 [8,5,2,1,1] => 1311 [8,5,1,1,1,1] => 1287 [8,4,4,1] => 1335 [8,4,3,2] => 1332 [8,4,3,1,1] => 1320 [8,4,2,2,1] => 1316 [8,4,2,1,1,1] => 1295 [8,4,1,1,1,1,1] => 1260 [8,3,3,3] => 1335 [8,3,3,2,1] => 1320 [8,3,3,1,1,1] => 1299 [8,3,2,2,2] => 1311 [8,3,2,2,1,1] => 1295 [8,3,2,1,1,1,1] => 1263 [8,3,1,1,1,1,1,1] => 1215 [8,2,2,2,2,1] => 1287 [8,2,2,2,1,1,1] => 1260 [8,2,2,1,1,1,1,1] => 1215 [8,2,1,1,1,1,1,1,1] => 1152 [8,1,1,1,1,1,1,1,1,1] => 1071 [7,7,3] => 1344 [7,7,2,1] => 1335 [7,7,1,1,1] => 1320 [7,6,4] => 1368 [7,6,3,1] => 1360 [7,6,2,2] => 1356 [7,6,2,1,1] => 1344 [7,6,1,1,1,1] => 1320 [7,5,5] => 1380 [7,5,4,1] => 1375 [7,5,3,2] => 1372 [7,5,3,1,1] => 1360 [7,5,2,2,1] => 1356 [7,5,2,1,1,1] => 1335 [7,5,1,1,1,1,1] => 1300 [7,4,4,2] => 1380 [7,4,4,1,1] => 1368 [7,4,3,3] => 1380 [7,4,3,2,1] => 1365 [7,4,3,1,1,1] => 1344 [7,4,2,2,2] => 1356 [7,4,2,2,1,1] => 1340 [7,4,2,1,1,1,1] => 1308 [7,4,1,1,1,1,1,1] => 1260 [7,3,3,3,1] => 1368 [7,3,3,2,2] => 1360 [7,3,3,2,1,1] => 1344 [7,3,3,1,1,1,1] => 1312 [7,3,2,2,2,1] => 1335 [7,3,2,2,1,1,1] => 1308 [7,3,2,1,1,1,1,1] => 1263 [7,3,1,1,1,1,1,1,1] => 1200 [7,2,2,2,2,2] => 1320 [7,2,2,2,2,1,1] => 1300 [7,2,2,2,1,1,1,1] => 1260 [7,2,2,1,1,1,1,1,1] => 1200 [7,2,1,1,1,1,1,1,1,1] => 1120 [7,1,1,1,1,1,1,1,1,1,1] => 1020 [6,6,5] => 1400 [6,6,4,1] => 1395 [6,6,3,2] => 1392 [6,6,3,1,1] => 1380 [6,6,2,2,1] => 1376 [6,6,2,1,1,1] => 1355 [6,6,1,1,1,1,1] => 1320 [6,5,5,1] => 1407 [6,5,4,2] => 1407 [6,5,4,1,1] => 1395 [6,5,3,3] => 1407 [6,5,3,2,1] => 1392 [6,5,3,1,1,1] => 1371 [6,5,2,2,2] => 1383 [6,5,2,2,1,1] => 1367 [6,5,2,1,1,1,1] => 1335 [6,5,1,1,1,1,1,1] => 1287 [6,4,4,3] => 1415 [6,4,4,2,1] => 1400 [6,4,4,1,1,1] => 1379 [6,4,3,3,1] => 1400 [6,4,3,2,2] => 1392 [6,4,3,2,1,1] => 1376 [6,4,3,1,1,1,1] => 1344 [6,4,2,2,2,1] => 1367 [6,4,2,2,1,1,1] => 1340 [6,4,2,1,1,1,1,1] => 1295 [6,4,1,1,1,1,1,1,1] => 1232 [6,3,3,3,2] => 1395 [6,3,3,3,1,1] => 1379 [6,3,3,2,2,1] => 1371 [6,3,3,2,1,1,1] => 1344 [6,3,3,1,1,1,1,1] => 1299 [6,3,2,2,2,2] => 1355 [6,3,2,2,2,1,1] => 1335 [6,3,2,2,1,1,1,1] => 1295 [6,3,2,1,1,1,1,1,1] => 1235 [6,3,1,1,1,1,1,1,1,1] => 1155 [6,2,2,2,2,2,1] => 1320 [6,2,2,2,2,1,1,1] => 1287 [6,2,2,2,1,1,1,1,1] => 1232 [6,2,2,1,1,1,1,1,1,1] => 1155 [6,2,1,1,1,1,1,1,1,1,1] => 1056 [6,1,1,1,1,1,1,1,1,1,1,1] => 935 [5,5,5,2] => 1428 [5,5,5,1,1] => 1416 [5,5,4,3] => 1431 [5,5,4,2,1] => 1416 [5,5,4,1,1,1] => 1395 [5,5,3,3,1] => 1416 [5,5,3,2,2] => 1408 [5,5,3,2,1,1] => 1392 [5,5,3,1,1,1,1] => 1360 [5,5,2,2,2,1] => 1383 [5,5,2,2,1,1,1] => 1356 [5,5,2,1,1,1,1,1] => 1311 [5,5,1,1,1,1,1,1,1] => 1248 [5,4,4,4] => 1440 [5,4,4,3,1] => 1424 [5,4,4,2,2] => 1416 [5,4,4,2,1,1] => 1400 [5,4,4,1,1,1,1] => 1368 [5,4,3,3,2] => 1416 [5,4,3,3,1,1] => 1400 [5,4,3,2,2,1] => 1392 [5,4,3,2,1,1,1] => 1365 [5,4,3,1,1,1,1,1] => 1320 [5,4,2,2,2,2] => 1376 [5,4,2,2,2,1,1] => 1356 [5,4,2,2,1,1,1,1] => 1316 [5,4,2,1,1,1,1,1,1] => 1256 [5,4,1,1,1,1,1,1,1,1] => 1176 [5,3,3,3,3] => 1416 [5,3,3,3,2,1] => 1395 [5,3,3,3,1,1,1] => 1368 [5,3,3,2,2,2] => 1380 [5,3,3,2,2,1,1] => 1360 [5,3,3,2,1,1,1,1] => 1320 [5,3,3,1,1,1,1,1,1] => 1260 [5,3,2,2,2,2,1] => 1344 [5,3,2,2,2,1,1,1] => 1311 [5,3,2,2,1,1,1,1,1] => 1256 [5,3,2,1,1,1,1,1,1,1] => 1179 [5,3,1,1,1,1,1,1,1,1,1] => 1080 [5,2,2,2,2,2,2] => 1320 [5,2,2,2,2,2,1,1] => 1296 [5,2,2,2,2,1,1,1,1] => 1248 [5,2,2,2,1,1,1,1,1,1] => 1176 [5,2,2,1,1,1,1,1,1,1,1] => 1080 [5,2,1,1,1,1,1,1,1,1,1,1] => 960 [5,1,1,1,1,1,1,1,1,1,1,1,1] => 816 [4,4,4,4,1] => 1440 [4,4,4,3,2] => 1431 [4,4,4,3,1,1] => 1415 [4,4,4,2,2,1] => 1407 [4,4,4,2,1,1,1] => 1380 [4,4,4,1,1,1,1,1] => 1335 [4,4,3,3,3] => 1428 [4,4,3,3,2,1] => 1407 [4,4,3,3,1,1,1] => 1380 [4,4,3,2,2,2] => 1392 [4,4,3,2,2,1,1] => 1372 [4,4,3,2,1,1,1,1] => 1332 [4,4,3,1,1,1,1,1,1] => 1272 [4,4,2,2,2,2,1] => 1356 [4,4,2,2,2,1,1,1] => 1323 [4,4,2,2,1,1,1,1,1] => 1268 [4,4,2,1,1,1,1,1,1,1] => 1191 [4,4,1,1,1,1,1,1,1,1,1] => 1092 [4,3,3,3,3,1] => 1407 [4,3,3,3,2,2] => 1395 [4,3,3,3,2,1,1] => 1375 [4,3,3,3,1,1,1,1] => 1335 [4,3,3,2,2,2,1] => 1360 [4,3,3,2,2,1,1,1] => 1327 [4,3,3,2,1,1,1,1,1] => 1272 [4,3,3,1,1,1,1,1,1,1] => 1195 [4,3,2,2,2,2,2] => 1335 [4,3,2,2,2,2,1,1] => 1311 [4,3,2,2,2,1,1,1,1] => 1263 [4,3,2,2,1,1,1,1,1,1] => 1191 [4,3,2,1,1,1,1,1,1,1,1] => 1095 [4,3,1,1,1,1,1,1,1,1,1,1] => 975 [4,2,2,2,2,2,2,1] => 1287 [4,2,2,2,2,2,1,1,1] => 1248 [4,2,2,2,2,1,1,1,1,1] => 1183 [4,2,2,2,1,1,1,1,1,1,1] => 1092 [4,2,2,1,1,1,1,1,1,1,1,1] => 975 [4,2,1,1,1,1,1,1,1,1,1,1,1] => 832 [4,1,1,1,1,1,1,1,1,1,1,1,1,1] => 663 [3,3,3,3,3,2] => 1400 [3,3,3,3,3,1,1] => 1380 [3,3,3,3,2,2,1] => 1368 [3,3,3,3,2,1,1,1] => 1335 [3,3,3,3,1,1,1,1,1] => 1280 [3,3,3,2,2,2,2] => 1344 [3,3,3,2,2,2,1,1] => 1320 [3,3,3,2,2,1,1,1,1] => 1272 [3,3,3,2,1,1,1,1,1,1] => 1200 [3,3,3,1,1,1,1,1,1,1,1] => 1104 [3,3,2,2,2,2,2,1] => 1295 [3,3,2,2,2,2,1,1,1] => 1256 [3,3,2,2,2,1,1,1,1,1] => 1191 [3,3,2,2,1,1,1,1,1,1,1] => 1100 [3,3,2,1,1,1,1,1,1,1,1,1] => 983 [3,3,1,1,1,1,1,1,1,1,1,1,1] => 840 [3,2,2,2,2,2,2,2] => 1260 [3,2,2,2,2,2,2,1,1] => 1232 [3,2,2,2,2,2,1,1,1,1] => 1176 [3,2,2,2,2,1,1,1,1,1,1] => 1092 [3,2,2,2,1,1,1,1,1,1,1,1] => 980 [3,2,2,1,1,1,1,1,1,1,1,1,1] => 840 ----------------------------------------------------------------------------- Created: May 07, 2018 at 20:47 by Christian Stump ----------------------------------------------------------------------------- Last Updated: May 07, 2018 at 20:47 by Christian Stump