Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 11 17 23 23 14 8 7 6 5 5 5 6 7 7 8 9 9 8 8 8 6 -1 -8 -7 0 6 7 8 8 8 8 7 6 5 4 3 3 3 3 3 4 4 5 6 6 6 5 5 5 7 8 9 9 8 6 5 4 4 5 5 5 4 3 2 2 3 4 5 4 3 4 6 11 16 22 nan
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nan 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 6 4 4 5 6 7 7 6 6 6 7 8 8 8 8 8 9 9 10 10 11 10 10 9 9 8 6 6 6 7 7 7 8 8 9 10 11 10 7 5 3 3 4 6 7 7 8 10 11 13 14 16 17 16 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 5 4 3 5 7 7 7 6 6 6 7 8 8 8 8 9 8 9 9 9 9 9 9 9 9 8 7 8 8 8 8 8 9 11 12 12 11 9 6 3 3 3 4 4 5 6 7 9 11 12 15 19 20 18 16 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 8 7 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 6 5 4 5 6 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 9 9 9 10 10 11 11 9 6 4 4 4 4 5 5 6 8 9 9 8 9 12 16 17 18 18 20 20 20 18 16 13 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 nan
nan 8 7 6 6 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 11 11 11 10 9 9 9 8 8 7 6 5 5 5 6 6 7 7 9 11 11 7 5 6 8 10 12 15 20 24 27 26 23 18 14 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 8 9 9 9 8 8 7 6 7 9 9 9 8 8 7 8 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 8 7 6 5 5 6 7 8 8 9 11 12 9 5 5 5 6 7 9 13 17 20 22 22 20 15 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 10 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 8 9 9 8 7 7 7 8 9 9 9 9 9 9 9 10 9 9 8 7 7 6 7 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 10 10 9 8 6 4 5 6 7 8 9 11 12 11 7 5 6 6 7 7 9 12 13 14 13 13 12 11 12 14 14 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 10 10 11 11 10 10 11 11 11 11 11 nan
nan 7 8 8 8 7 7 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 9 9 9 9 10 11 10 9 8 7 6 6 6 7 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 6 5 6 6 7 8 10 12 13 10 7 6 7 8 8 9 10 11 11 11 10 9 8 10 15 18 18 16 14 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 8 7 7 8 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 6 7 7 8 9 10 12 11 8 7 7 8 8 9 9 10 10 10 10 9 8 8 11 16 19 20 19 17 14 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 8 8 9 8 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 9 10 12 13 13 12 10 9 10 10 10 10 10 10 11 11 11 11 10 9 7 7 6 6 6 6 7 8 9 10 10 10 10 7 6 6 7 8 9 9 10 10 11 11 10 9 8 8 10 12 15 17 19 19 18 15 13 12 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 nan
nan 7 8 9 9 8 8 8 8 7 6 6 7 7 7 8 9 9 9 8 8 8 8 9 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 7 6 5 5 5 6 6 7 7 7 9 10 12 14 15 15 14 13 12 12 11 10 9 9 10 11 12 11 10 8 7 6 6 6 6 6 7 7 8 10 11 11 10 8 6 5 6 7 9 9 10 11 12 13 12 10 8 7 7 8 9 10 13 16 18 19 18 16 15 14 14 13 13 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 7 7 8 8 8 7 8 8 7 6 6 7 7 8 8 9 9 9 9 8 8 9 9 8 7 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 10 8 6 5 5 5 5 6 7 8 8 9 9 11 12 13 13 13 14 14 14 13 11 10 10 10 11 11 11 10 8 6 5 5 6 6 7 6 6 6 7 9 10 10 9 8 7 7 7 8 10 11 12 13 14 13 11 8 6 5 5 6 6 7 8 10 13 16 18 19 20 21 22 21 19 16 12 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 nan
nan 6 6 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 8 8 9 9 9 9 10 9 7 5 5 5 6 7 8 9 9 10 10 10 10 11 11 11 12 13 14 15 14 12 12 11 11 10 9 9 7 6 5 5 6 7 8 8 7 6 6 7 8 9 9 9 8 8 9 10 11 12 12 12 13 13 11 9 6 5 5 5 5 5 5 6 7 10 12 15 19 22 24 24 24 21 16 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 6 6 6 6 7 7 8 8 8 7 6 7 7 8 8 9 9 9 9 8 8 9 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 10 9 7 6 6 6 7 8 10 10 10 10 10 10 9 10 10 10 11 13 14 14 13 12 11 10 9 8 7 7 6 6 6 7 8 9 9 8 7 7 7 7 8 8 8 8 9 10 11 13 13 13 13 12 10 9 8 7 6 6 6 6 6 5 5 7 8 9 10 11 13 16 17 17 15 11 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 5 5 6 7 7 8 9 8 7 6 6 7 7 8 8 9 8 9 9 9 9 9 9 9 9 7 7 7 7 7 7 7 8 8 8 8 9 9 10 9 8 8 7 8 8 9 9 10 9 9 8 8 8 8 9 9 10 12 13 12 11 10 9 8 6 5 5 6 7 8 9 10 10 9 8 7 7 7 7 7 7 7 8 9 10 11 13 14 14 14 13 11 10 8 7 7 7 7 8 8 7 7 7 8 9 9 9 9 9 10 11 9 5 -0 -1 3 6 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 6 5 5 5 6 7 8 9 9 8 6 5 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 10 10 8 7 7 7 6 6 6 6 7 7 8 10 10 10 8 6 6 7 8 7 6 7 7 9 10 10 11 11 12 13 13 12 11 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 8 6 1 -1 1 5 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 nan
nan 7 6 5 6 6 7 8 9 9 8 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 5 5 6 7 8 9 9 10 10 11 11 10 9 8 7 8 8 8 7 8 8 8 8 7 7 8 8 7 6 5 6 6 7 8 9 9 9 8 7 7 8 9 8 8 7 8 8 7 7 8 9 10 10 9 9 9 10 10 10 9 7 7 7 8 9 9 9 10 10 12 12 11 9 8 7 8 9 9 9 7 4 1 2 6 10 13 12 10 10 10 10 10 11 10 10 10 10 10 10 10 9 nan
nan 7 6 6 6 6 7 7 8 8 8 7 7 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 7 6 6 7 6 5 5 5 6 7 8 8 9 11 12 12 12 10 8 8 8 8 7 8 8 8 8 7 7 6 6 6 6 5 6 6 8 9 11 12 12 11 9 7 6 7 8 9 9 8 7 6 6 8 10 11 11 10 9 8 8 8 8 7 6 6 6 7 9 10 11 11 12 13 14 14 13 12 10 8 8 9 10 9 7 6 7 11 17 20 20 18 15 13 11 11 11 11 11 11 11 10 10 10 10 9 nan
nan 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 9 7 6 7 7 5 4 4 5 5 6 7 8 9 11 12 13 13 11 9 8 8 8 7 6 7 7 7 6 6 5 6 6 6 6 7 8 9 10 12 13 12 12 11 10 9 9 9 9 8 7 6 6 8 11 12 12 10 9 8 7 7 7 8 8 8 8 9 10 10 11 11 12 13 14 15 16 15 14 12 10 9 9 9 9 9 11 14 21 25 26 24 22 20 18 15 12 11 11 11 11 11 10 10 10 10 9 nan
nan 7 6 6 6 7 7 7 8 8 8 8 8 7 7 6 7 7 7 8 9 10 9 9 9 10 10 9 7 6 8 8 5 3 3 4 5 5 7 8 9 11 12 14 15 13 11 10 9 8 6 5 6 6 6 5 5 5 6 6 6 7 8 9 9 10 10 10 10 11 12 12 12 12 10 9 8 7 7 8 10 11 11 9 8 8 7 6 7 8 9 10 10 11 11 11 11 11 11 12 12 14 14 15 15 14 13 12 10 9 9 9 10 12 15 19 20 20 20 21 22 20 17 13 11 11 11 11 11 10 10 9 9 9 nan
nan 8 7 7 7 7 7 7 7 8 8 8 7 7 7 6 7 7 8 9 10 10 9 9 9 9 9 8 7 7 8 7 4 2 2 3 5 6 7 9 9 10 11 13 15 14 13 12 12 11 8 6 6 6 6 5 5 5 6 6 7 8 9 9 9 9 8 8 9 10 11 12 12 12 10 9 8 7 8 10 10 9 7 6 6 5 5 6 7 9 9 9 10 10 10 10 11 11 10 10 10 11 11 11 12 13 13 12 11 10 10 10 10 10 11 12 12 12 13 14 16 17 15 12 11 11 11 10 10 10 9 9 8 8 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 9 8 8 7 7 7 7 6 4 3 3 4 5 6 7 8 8 9 10 12 13 14 14 14 13 11 9 8 8 7 6 6 5 6 6 7 7 8 9 9 8 8 8 8 9 10 11 11 12 11 10 8 7 8 10 11 10 7 6 5 5 4 4 5 6 7 7 8 8 9 9 10 11 10 9 8 9 9 9 9 9 10 11 11 11 12 12 11 11 10 9 9 9 7 5 4 6 8 9 10 10 10 9 9 9 9 8 8 8 8 nan
nan 8 9 8 8 7 6 7 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 7 7 7 7 6 6 7 8 9 11 11 13 14 14 13 10 9 9 9 9 7 6 6 6 6 6 6 7 8 8 8 8 8 8 9 11 11 11 12 12 10 9 8 10 11 11 10 9 7 7 6 5 5 5 5 6 7 8 8 9 9 10 11 9 8 8 9 9 9 8 8 9 9 10 12 13 13 12 11 10 10 9 6 2 -2 -5 -5 -3 -1 4 7 8 9 8 8 8 8 8 8 8 nan
nan 8 8 8 8 7 7 7 8 8 7 7 6 6 7 7 7 8 9 9 9 8 9 9 8 7 7 7 8 7 7 7 7 8 8 8 8 7 6 7 8 9 9 10 10 11 13 13 13 11 10 9 9 8 6 5 4 4 4 4 4 5 6 7 7 7 7 8 10 10 10 11 11 12 11 10 11 11 12 12 11 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 8 8 9 10 10 10 9 9 8 8 10 12 13 12 10 9 9 10 9 6 1 -3 -6 -6 -5 -2 3 6 8 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 7 7 8 8 8 7 6 6 6 7 8 8 9 9 7 7 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 9 9 9 10 11 12 13 12 11 9 8 7 6 5 5 4 4 3 2 2 3 5 6 7 7 8 9 9 9 10 10 10 10 10 11 12 12 12 11 11 12 12 12 12 12 11 11 12 11 9 8 8 9 9 9 9 9 10 11 12 11 10 9 9 9 10 12 11 9 7 7 8 9 8 8 8 7 6 5 3 5 6 8 9 9 9 10 10 10 10 9 9 nan
nan 8 8 9 9 8 8 8 8 8 8 8 7 6 6 7 8 9 10 9 7 7 8 8 8 8 9 9 9 9 8 8 7 6 6 7 7 7 7 9 10 10 9 9 9 9 10 11 11 11 9 8 8 8 8 9 8 8 8 7 5 4 4 5 6 7 8 8 8 7 7 8 8 8 7 8 10 11 12 11 10 11 12 12 13 13 12 12 13 13 12 9 8 8 8 9 9 10 10 11 12 12 11 10 10 10 11 11 10 8 7 7 8 9 8 9 11 14 16 18 16 12 9 8 9 9 10 10 10 10 9 9 9 9 nan
nan 8 8 8 9 9 8 8 8 8 9 8 7 6 6 7 8 10 10 9 8 8 7 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 10 9 9 8 9 9 9 10 10 9 8 7 7 8 10 12 12 13 14 13 12 11 10 9 9 8 8 8 7 6 6 7 7 7 7 8 10 11 11 10 10 10 11 12 11 11 11 12 13 12 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 7 8 9 11 11 10 11 12 15 18 19 17 13 9 8 9 10 10 9 9 9 9 9 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
8 8 8 8 8 9 11 14 19 23 26 28 29 31 35 39 42 45 46 49 48 48 49 51 51 51 51 52 55 57 54 53 58 61 62 63 65 65 66 65 64 63 61 62 60 58 54 49 45 42 39 34 29 28 26 25 25 23 21 18 17 17 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 12 16 18 19 19 18 21 23 22 21 19 17 15 15 14 11 9 8 9 12 16 23 28 32 35 36 36 36 39 48 58 68 64 96 192 372 545 638 682 697 719
6 6 7 7 6 7 10 13 18 22 25 26 27 28 30 31 32 36 37 37 38 40 42 44 44 44 45 46 47 50 52 51 54 55 57 59 61 62 62 62 61 60 58 56 54 52 49 46 43 40 36 30 28 27 26 25 24 23 21 19 17 15 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 17 19 20 21 19 21 23 23 23 21 18 16 16 15 12 10 8 10 12 14 18 24 29 31 32 35 35 35 42 55 62 58 64 117 229 365 493 589 664 721
5 5 5 5 5 6 8 12 17 21 24 25 26 26 27 28 27 28 28 28 31 34 36 37 37 37 39 41 42 45 48 49 50 51 52 54 55 54 52 57 55 54 51 48 45 43 41 38 35 33 32 27 26 25 25 24 23 22 21 20 17 14 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 13 17 19 22 23 22 22 23 23 23 22 21 19 17 17 15 13 13 12 12 12 15 20 26 29 30 33 35 35 36 49 58 56 56 75 136 237 355 462 572 661
4 3 3 4 5 6 7 11 16 20 22 22 24 25 25 25 26 26 26 26 27 29 30 31 31 31 35 37 39 41 44 46 48 49 50 50 50 47 47 48 45 45 43 40 38 36 34 32 30 28 26 24 24 24 23 22 22 22 21 20 17 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 11 16 20 23 25 25 24 23 23 23 22 22 21 18 18 17 16 15 13 12 11 13 16 22 26 26 29 33 35 34 40 49 52 54 58 78 148 248 348 458 565
4 3 3 6 7 6 7 10 15 19 20 20 21 22 22 22 22 22 23 23 24 25 25 27 28 28 31 34 37 39 41 43 45 45 46 46 45 43 44 44 41 39 37 35 34 31 28 27 24 22 21 19 20 20 20 20 20 20 20 19 13 5 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 17 22 26 27 27 26 25 24 24 23 23 22 20 19 18 17 16 15 12 11 11 12 17 21 23 26 31 34 34 35 40 45 50 54 60 106 175 254 341 439
3 3 3 5 6 6 7 10 15 18 19 19 19 18 18 17 15 16 17 15 16 19 21 22 23 25 28 31 35 38 39 40 40 41 42 42 41 40 39 37 35 34 32 29 27 24 20 17 15 15 14 14 14 14 15 16 16 17 17 17 7 2 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 11 15 19 22 26 28 28 29 29 28 26 25 24 23 22 21 21 20 19 16 14 12 11 11 13 15 19 25 29 32 33 33 35 41 47 49 55 79 123 177 237 318
1 0 0 1 3 6 7 10 14 17 17 16 15 16 16 16 16 15 15 14 14 15 16 18 19 21 26 29 32 34 36 36 36 36 37 38 38 36 34 32 29 27 25 22 19 17 14 11 10 10 9 9 8 9 11 12 13 14 15 17 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 13 18 21 24 27 29 30 31 32 32 29 28 26 24 24 24 24 23 22 18 16 15 13 11 11 13 16 20 24 27 31 31 33 37 42 45 49 61 86 121 166 241
0 0 1 1 2 5 7 9 12 15 16 16 16 18 17 18 17 16 15 15 15 15 16 16 17 19 22 25 27 29 31 32 32 32 32 31 30 30 30 27 23 21 19 16 14 12 10 9 8 8 8 7 7 8 8 9 10 11 10 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 15 21 25 27 28 29 30 31 34 34 35 35 33 29 26 25 25 26 25 24 20 17 16 14 12 11 11 14 17 19 23 27 28 30 32 35 41 47 54 68 89 128 196
0 0 0 0 1 3 5 7 10 13 16 18 19 21 21 23 25 24 20 18 17 16 15 15 16 18 19 21 23 26 27 28 29 29 29 28 27 27 27 26 23 20 17 13 11 9 8 8 8 8 7 7 7 7 7 7 7 8 7 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 14 20 25 28 30 32 34 35 33 36 36 36 37 36 33 30 28 27 28 27 27 24 20 18 16 14 12 11 12 13 15 19 22 25 27 29 32 37 45 51 62 77 108 144
0 0 0 0 0 2 4 6 8 11 15 18 19 20 21 22 23 23 24 23 22 20 15 14 14 15 16 18 19 21 23 25 24 25 27 28 26 24 24 23 22 20 16 12 11 8 7 6 7 8 8 8 8 7 6 6 7 7 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 12 19 24 27 29 33 36 37 39 39 40 40 39 38 38 38 35 31 29 29 29 28 27 24 21 18 16 14 11 10 11 13 15 17 20 23 27 31 35 42 49 58 67 86 111
0 0 0 0 0 1 3 5 6 8 13 17 18 19 19 19 19 20 21 22 21 23 18 15 13 13 14 15 16 17 18 18 18 19 21 22 21 21 20 17 14 12 11 7 6 4 3 3 3 4 4 7 10 8 5 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 10 18 24 27 29 32 34 38 39 41 44 45 43 43 41 39 38 36 34 33 29 30 30 29 27 24 21 18 16 14 12 11 12 13 14 16 19 23 28 32 39 48 57 62 73 93
0 0 0 0 0 1 2 3 5 7 10 13 14 16 15 15 16 18 18 19 18 20 19 17 15 13 13 14 15 15 15 15 15 16 16 16 15 15 13 11 8 6 5 3 1 0 1 0 2 3 2 4 8 8 5 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 15 22 28 31 32 33 36 41 42 42 45 48 48 46 45 43 41 37 36 36 33 32 31 30 28 26 23 21 18 16 13 11 10 10 12 14 15 19 25 31 38 46 54 60 68 82
0 0 0 0 0 0 2 3 4 5 7 8 8 10 10 9 9 11 13 15 16 17 19 19 16 14 13 13 13 13 14 14 14 14 14 13 13 11 9 7 5 3 2 1 0 0 0 0 0 1 2 1 3 6 7 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 11 18 25 31 34 37 40 43 47 47 46 47 49 51 51 50 48 46 41 39 38 36 34 32 29 28 26 25 23 20 17 16 12 8 7 9 10 11 15 21 28 36 44 52 59 66 76
0 0 0 0 0 0 1 2 3 4 6 6 6 7 7 6 7 7 7 9 10 11 11 13 14 14 13 12 11 12 12 11 12 12 12 10 10 9 7 5 4 3 1 0 0 0 0 0 0 0 1 1 1 3 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 18 27 33 39 42 44 46 51 53 54 54 54 54 54 54 53 52 47 44 41 38 36 34 29 27 25 25 24 23 19 16 14 10 8 7 7 10 13 20 27 34 42 52 60 66 73
0 0 0 0 0 0 1 2 3 5 6 7 7 7 7 7 7 6 6 6 6 6 6 7 9 12 13 13 12 11 10 10 10 10 10 9 9 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 1 1 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 12 20 29 36 42 47 47 50 54 57 60 62 63 63 59 51 54 54 52 49 45 41 38 37 31 26 24 25 26 25 21 18 17 15 12 7 6 9 13 20 27 33 39 50 59 67 75
0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 6 7 6 4 4 4 4 4 4 6 8 11 13 14 12 11 10 9 9 9 9 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 14 22 31 38 46 52 51 52 56 60 63 67 70 72 68 62 57 54 53 53 50 45 42 39 33 29 25 25 27 27 24 21 20 18 16 10 8 9 13 18 25 31 35 45 58 71 81
0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 3 4 3 3 3 3 3 3 3 4 6 7 8 11 9 10 10 9 9 9 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 16 25 32 42 48 53 55 56 59 62 65 68 72 75 73 69 64 58 54 53 52 50 47 41 35 31 28 28 29 29 27 25 23 20 18 15 12 10 11 16 23 29 34 42 54 69 83
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 3 3 3 3 4 5 7 7 7 8 8 8 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 7 10 14 20 29 34 43 49 52 56 59 61 63 66 70 74 75 76 77 73 66 59 54 53 53 52 46 40 35 32 30 31 32 31 26 23 22 21 20 18 14 11 13 18 25 33 39 48 62 78
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 3 3 4 5 5 5 6 6 6 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 11 15 19 25 30 35 41 46 50 55 59 61 64 66 71 76 78 80 82 79 74 68 60 55 54 52 48 45 41 37 33 32 35 32 28 24 23 24 24 24 19 16 14 15 22 31 37 44 57 73
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 14 17 20 24 28 31 35 39 44 47 53 59 63 65 67 71 77 83 87 87 85 82 76 69 63 58 54 50 48 45 42 37 36 35 31 26 23 23 23 25 26 24 21 19 18 20 28 36 43 53 67
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10 13 19 21 22 25 30 36 37 39 44 48 52 58 63 65 66 70 77 85 91 95 94 90 84 78 73 67 60 55 52 50 46 41 39 36 33 29 25 23 23 24 27 26 23 21 18 20 27 33 38 48 60
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 9 12 14 18 20 22 26 29 34 42 46 46 48 51 52 57 63 67 68 70 74 80 90 99 102 98 93 88 81 75 69 62 55 54 49 47 44 41 39 36 30 26 25 24 25 26 24 19 17 20 26 30 32 42 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 10 14 19 23 26 29 33 35 37 41 48 53 52 52 54 55 57 63 67 69 71 74 78 86 96 103 104 102 98 90 83 77 71 64 59 53 51 49 47 43 40 36 33 31 27 25 27 26 23 20 19 24 30 32 37 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 14 20 25 29 33 38 42 43 45 50 54 57 57 56 56 57 60 64 67 70 72 77 80 85 91 98 103 106 106 101 93 84 77 71 64 58 53 52 49 45 40 35 38 38 33 29 28 28 26 22 18 23 28 29 29 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 6 11 19 25 31 35 40 43 48 49 50 54 58 61 60 60 60 61 63 67 70 72 72 79 83 89 93 97 101 106 108 107 102 93 83 77 71 64 58 54 52 49 43 35 40 43 41 36 32 30 31 28 24 24 25 27 27 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 16 22 30 35 40 44 47 51 54 55 57 62 63 64 65 66 68 68 70 71 73 73 78 84 89 95 99 102 104 108 109 106 99 88 82 76 70 64 58 53 52 48 45 48 50 48 43 37 33 36 34 30 26 23 23 24 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 13 20 25 33 38 43 48 52 56 59 60 62 67 68 70 73 77 77 76 77 75 76 75 78 84 88 95 103 106 107 110 111 107 102 95 88 81 75 69 63 55 53 52 49 48 48 47 45 41 40 41 40 36 30 26 23 21 19
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 10 16 22 28 34 39 43 46 51 57 61 64 67 71 72 74 79 82 83 83 83 82 80 78 80 85 90 95 103 110 114 116 114 110 106 102 96 87 77 74 69 61 56 52 49 46 44 45 45 45 45 45 45 41 34 29 25 20 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 12 19 23 29 35 38 39 41 47 55 62 66 70 73 74 75 78 83 84 84 85 85 85 84 86 89 92 97 103 110 119 120 118 116 113 110 105 96 83 80 75 68 61 55 52 50 48 47 45 47 48 48 48 44 38 31 28 21 16
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 15 20 25 29 32 35 39 46 52 59 66 70 76 79 80 81 82 83 84 85 86 87 88 90 92 94 96 100 103 111 122 126 127 127 126 123 114 105 94 86 80 75 69 63 59 57 53 48 45 49 54 55 50 45 40 32 29 25 20
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