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 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
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nan -1 1 2 1 2 5 8 12 16 15 10 8 11 13 13 11 9 7 7 8 9 10 10 8 7 7 10 14 15 15 13 6 3 4 8 11 11 11 8 7 6 8 9 7 5 5 5 9 11 7 6 9 11 8 8 9 10 10 8 7 8 7 4 6 12 13 12 13 12 11 14 17 17 16 16 15 14 13 11 7 3 -3 -9 -9 -5 1 8 13 12 10 9 9 9 8 8 10 12 14 12 10 10 12 13 15 15 18 27 31 27 18 14 16 14 11 9 8 10 14 16 16 13 5 7 12 11 10 8 7 20 27 22 14 10 6 2 4 7 5 2 3 12 23 31 31 21 13 12 13 9 5 1 -1 -1 1 3 3 3 4 5 6 6 7 8 8 8 7 7 nan
nan 6 8 5 3 2 4 6 9 10 8 5 5 10 13 13 12 10 7 6 7 9 10 9 8 4 5 9 13 15 16 14 10 5 5 7 10 10 8 8 7 6 8 7 6 7 7 8 11 10 7 7 11 14 11 8 9 10 10 9 8 11 9 4 8 13 14 12 11 12 14 16 15 13 14 16 17 17 14 10 5 -1 -6 -6 -2 5 13 18 18 14 11 11 12 10 6 2 2 6 9 9 7 6 10 15 14 3 -7 4 27 38 34 21 12 9 6 6 6 7 11 13 14 13 5 3 8 9 8 8 8 15 22 19 13 10 5 -3 -1 5 9 11 12 23 39 44 37 25 24 29 27 19 10 3 1 1 3 4 4 3 4 5 6 8 8 9 8 7 7 7 nan
nan 14 13 9 7 5 3 4 6 8 7 5 4 7 10 11 11 12 9 5 5 9 11 8 6 1 4 8 11 11 13 15 13 8 6 9 9 8 6 9 8 8 8 7 11 12 7 8 13 11 7 7 12 15 10 6 7 8 8 7 8 10 6 3 7 10 9 7 8 12 15 14 10 9 13 17 20 19 14 9 4 0 -1 2 7 14 23 24 18 11 10 11 12 9 5 2 -1 -1 -0 1 -0 -1 4 10 10 -1 -12 -5 11 25 36 35 25 16 9 7 6 7 10 12 13 12 9 6 6 7 8 7 5 8 10 8 9 11 10 2 -2 4 11 14 14 23 32 30 23 18 23 32 33 27 17 9 5 4 4 4 4 4 5 5 7 8 9 10 9 8 8 7 nan
nan 12 9 10 14 15 8 -0 -1 4 7 6 5 6 8 8 9 12 10 5 6 12 15 11 3 1 5 9 10 10 13 16 12 8 6 11 10 5 6 9 10 11 7 8 12 12 5 9 15 11 5 5 14 16 9 7 7 8 8 7 7 7 7 10 14 11 8 9 13 16 15 12 8 10 16 20 22 20 18 13 8 5 7 12 17 22 26 24 15 8 8 11 11 10 9 8 5 2 0 -1 -0 -0 1 4 5 1 -3 -2 0 6 19 29 35 33 24 17 12 10 11 13 13 11 8 6 2 2 6 7 4 3 5 4 7 12 16 12 2 4 11 10 6 8 10 6 2 3 8 16 24 25 21 14 9 6 5 4 4 5 6 6 7 8 9 10 10 10 8 7 nan
nan 8 6 9 14 19 16 5 -2 2 7 7 5 4 6 7 10 11 9 8 10 16 17 11 1 4 6 7 8 11 14 16 12 8 5 9 11 6 5 8 12 11 8 8 9 7 5 10 12 9 6 8 17 14 7 9 7 7 7 9 9 10 16 23 21 13 10 14 19 20 17 13 11 15 23 25 24 23 22 19 14 11 13 16 20 24 23 20 12 8 8 10 11 13 13 13 13 10 8 7 8 7 5 5 6 6 3 0 -1 1 7 14 23 29 30 30 27 24 20 19 18 15 10 6 2 0 5 9 8 5 8 8 7 11 14 16 7 5 8 5 -0 -1 2 0 -1 -2 -1 3 11 16 17 15 10 6 4 4 5 6 6 8 9 9 9 9 10 10 9 8 nan
nan 7 4 8 10 14 26 27 12 6 7 6 3 2 4 7 10 11 10 10 13 18 16 8 2 6 6 6 8 11 14 15 15 11 6 7 8 7 6 9 12 11 14 10 6 6 6 7 7 7 8 10 13 10 10 13 9 5 5 11 13 15 22 23 15 9 13 17 20 20 17 16 17 21 26 27 27 26 24 21 18 16 16 17 19 22 20 14 9 8 9 11 12 14 14 14 13 11 12 14 15 14 11 9 9 9 6 2 1 1 1 5 11 18 27 35 39 40 37 31 25 23 20 14 11 9 8 10 11 10 12 13 12 14 16 16 13 9 8 4 0 1 3 2 2 0 -1 -0 3 8 11 11 9 7 6 6 6 7 8 9 9 10 10 9 9 9 9 9 nan
nan 6 4 7 9 13 26 27 12 8 10 11 7 3 3 7 11 10 7 9 13 17 14 5 3 6 6 6 8 9 11 13 15 14 10 8 4 7 9 11 9 8 14 13 5 3 3 5 7 8 9 11 11 11 15 16 7 2 8 16 18 19 19 15 10 13 17 16 16 17 18 19 19 19 21 25 28 28 25 23 21 20 17 17 18 18 16 10 9 10 12 11 12 12 13 12 9 10 13 17 19 19 17 14 13 12 9 5 3 -0 -2 5 14 22 29 35 40 46 47 40 29 24 23 20 17 15 12 11 12 12 12 12 11 13 16 16 18 17 14 9 5 4 5 5 4 3 2 1 1 3 6 8 8 9 8 8 8 8 9 10 10 10 10 10 8 7 7 6 nan
nan 3 5 7 9 12 15 12 8 7 11 14 12 7 5 8 10 10 7 6 11 15 14 5 2 6 7 6 7 9 10 11 14 14 13 8 6 8 10 10 6 5 10 13 6 1 1 3 6 9 11 12 12 14 19 15 2 4 17 22 20 15 10 10 14 19 17 12 11 14 16 15 14 15 18 23 27 28 27 26 24 22 19 16 15 14 12 8 10 14 15 14 14 13 11 8 8 10 13 15 18 20 19 17 16 14 11 7 5 4 5 12 19 21 22 24 31 40 48 47 35 24 20 17 16 14 13 12 12 11 9 7 4 6 10 15 20 23 19 12 7 4 4 6 6 6 5 4 2 2 4 7 9 10 10 10 10 9 8 10 11 10 10 9 8 8 7 5 nan
nan 4 5 5 6 10 16 13 7 5 8 10 9 7 6 7 9 9 7 4 6 11 13 8 2 4 6 6 6 7 8 10 13 14 14 9 9 11 10 4 3 5 9 12 7 3 2 2 6 9 11 12 12 14 17 13 9 12 19 20 15 8 3 7 13 15 13 10 9 10 12 13 14 16 20 22 24 24 23 23 22 21 18 15 13 12 11 10 12 14 15 18 16 12 9 10 11 13 15 15 16 17 18 17 16 16 13 10 10 13 14 14 13 11 11 12 17 25 38 48 48 37 25 21 18 17 16 14 13 11 8 5 2 3 7 12 17 18 12 6 4 3 3 5 7 7 7 6 4 3 3 7 10 10 10 10 9 9 9 10 11 12 10 9 9 9 8 8 nan
nan 6 4 2 1 4 11 12 6 3 5 7 8 7 6 6 7 8 7 4 2 7 13 11 4 3 7 6 4 6 7 9 12 14 15 11 10 12 9 2 2 2 8 11 7 3 2 4 8 10 11 11 12 14 15 16 13 10 10 9 6 4 7 11 11 9 10 12 11 9 13 17 19 19 19 18 17 15 13 14 15 15 15 15 13 13 14 16 14 12 11 14 13 10 10 13 15 17 17 16 15 15 16 16 17 17 17 18 21 22 17 9 5 5 7 8 11 16 30 48 59 56 44 34 29 26 23 23 23 19 13 8 5 5 8 10 10 6 1 0 3 5 5 7 7 6 8 8 7 5 5 7 10 11 10 9 8 8 9 10 11 12 11 10 10 9 10 10 nan
nan 7 7 4 1 1 3 5 3 1 1 6 9 9 9 7 7 9 8 4 0 4 12 11 4 3 7 6 5 6 7 10 13 14 15 12 8 9 8 6 4 -1 5 10 4 2 4 7 9 11 12 12 12 13 14 13 9 6 4 2 2 5 11 16 13 8 11 15 16 14 16 20 21 17 13 11 9 8 9 9 9 11 14 15 14 16 18 21 17 10 7 10 10 10 11 14 16 16 17 18 17 15 15 17 18 20 24 29 30 24 11 0 -0 3 6 7 9 15 28 45 57 59 51 42 34 29 29 34 39 35 25 16 11 10 12 12 7 -1 -6 -2 5 9 10 10 8 7 8 9 8 9 8 9 10 10 9 9 8 8 9 10 11 11 12 11 10 9 9 10 nan
nan 7 8 7 5 4 3 2 0 -0 1 4 7 10 11 8 7 9 9 5 1 4 10 8 4 4 5 5 7 8 7 8 11 14 14 11 7 8 7 7 7 1 4 5 2 4 6 9 12 13 12 11 12 12 12 11 8 5 3 2 3 6 12 17 17 14 16 21 24 23 21 19 16 14 12 8 5 5 9 9 9 12 14 16 17 18 20 21 19 14 11 8 9 12 15 14 14 13 15 18 20 17 16 17 20 25 30 31 23 10 -1 -6 -4 -0 3 5 7 14 24 33 37 36 34 30 23 20 25 33 41 40 34 30 24 20 18 18 11 -1 -8 -5 4 12 15 14 11 9 9 10 10 11 10 9 10 10 9 9 8 8 9 9 11 11 11 10 10 9 9 9 nan
nan 7 8 12 15 12 9 4 2 1 4 5 5 8 10 9 8 10 11 6 3 4 7 6 3 6 6 4 5 10 8 7 10 15 14 9 7 6 5 7 9 5 5 4 3 7 9 11 15 14 10 9 10 11 11 9 6 4 2 2 3 7 15 21 25 25 25 29 32 33 29 24 20 17 14 9 6 8 13 14 13 13 14 15 16 14 15 19 21 18 14 10 13 17 17 14 12 12 15 20 23 22 19 18 23 27 26 17 1 -11 -15 -13 -7 -2 1 3 7 12 19 23 19 15 13 15 13 13 19 24 25 29 37 45 45 41 34 27 16 4 -3 -4 3 12 18 19 15 12 11 11 12 12 11 10 10 10 10 10 9 8 9 9 9 10 10 10 9 9 9 8 nan
nan 8 11 17 20 17 12 7 3 5 8 7 4 5 9 10 10 12 11 7 3 3 6 7 5 8 10 5 3 7 9 8 12 17 16 9 5 3 3 7 9 9 8 7 7 9 11 13 15 13 9 8 10 11 9 6 4 4 4 4 6 11 21 27 31 31 31 34 36 36 34 31 28 26 22 17 13 15 19 18 15 13 12 12 11 9 14 21 20 18 15 12 15 17 15 14 14 16 17 21 25 26 22 21 24 24 15 -1 -18 -26 -25 -19 -11 -3 1 3 7 11 14 17 17 15 13 12 9 8 13 16 14 20 38 52 53 50 43 27 12 4 2 1 4 11 19 23 21 17 15 14 13 12 10 9 10 10 11 11 10 8 9 8 8 9 9 8 8 8 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 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
3 2 3 3 4 7 10 14 28 47 55 52 61 67 63 57 62 78 91 78 51 38 42 56 70 82 89 85 69 51 43 44 45 42 37 29 26 31 39 47 53 54 56 57 58 52 44 37 30 27 34 51 58 46 28 15 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 6 2 0 1 7 13 20 34 51 58 53 59 72 66 57 60 72 79 74 62 54 55 63 75 88 93 86 70 54 45 43 41 38 34 29 27 29 36 43 50 53 55 57 59 56 50 42 34 36 50 66 64 44 27 17 14 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 18 8 2 3 13 24 31 42 56 60 55 58 72 71 63 62 64 64 61 59 65 75 82 87 95 96 87 72 58 48 42 39 37 35 33 32 33 38 46 53 56 57 57 57 56 52 45 40 48 66 78 66 41 24 19 17 16 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
40 30 14 6 10 23 37 43 49 58 63 61 62 68 73 73 71 66 54 43 41 55 77 95 101 102 101 91 77 64 54 48 44 42 41 38 35 38 46 55 60 62 61 59 56 54 53 47 45 59 78 79 58 31 15 11 11 16 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
46 36 21 15 20 34 46 52 53 58 66 68 66 68 75 82 83 76 58 36 27 37 62 86 99 103 103 95 83 71 64 59 56 54 53 52 53 58 64 67 67 67 66 63 59 55 52 48 47 66 83 72 44 19 6 2 5 13 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
45 44 35 30 35 46 55 59 60 62 68 73 70 69 76 84 90 87 70 46 30 37 58 80 93 99 101 96 87 80 76 72 71 72 75 74 66 62 69 73 70 68 68 68 65 60 54 47 50 69 81 60 31 10 2 0 2 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
43 51 50 47 51 60 64 65 65 68 69 67 67 70 78 84 91 93 84 68 58 62 77 90 91 92 95 92 85 84 84 83 82 83 83 78 68 59 62 68 67 65 64 68 71 68 57 49 55 70 73 48 22 6 1 0 1 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
30 37 47 54 60 65 63 60 63 69 67 63 68 78 84 84 90 96 96 90 86 87 90 91 83 76 87 88 84 80 78 77 71 64 54 42 36 42 54 64 66 63 60 64 72 76 65 58 65 72 63 38 16 3 0 0 3 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 16 28 45 56 60 58 54 59 67 65 64 74 84 84 79 80 86 91 89 87 85 78 65 54 53 70 70 64 58 56 54 47 36 26 22 27 42 59 68 68 64 59 63 76 84 72 66 68 62 44 23 9 2 0 0 8 18 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 9 16 32 47 54 54 52 53 60 61 60 69 76 74 67 63 61 61 64 64 61 51 37 28 29 38 42 33 28 28 28 24 17 14 19 33 53 69 72 68 61 58 67 81 84 65 59 54 37 20 8 2 0 1 4 13 23 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 10 12 22 36 48 53 49 47 50 54 50 51 54 53 49 45 43 44 48 51 48 42 32 26 25 25 22 19 16 16 17 13 8 9 18 37 57 68 66 62 57 55 61 68 67 54 49 36 16 6 2 0 0 4 11 15 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
7 8 9 14 25 40 49 49 44 42 44 41 33 31 32 31 29 30 37 48 59 63 64 56 48 43 38 34 30 25 22 18 10 6 7 18 38 54 60 58 59 57 47 42 42 45 45 41 25 8 2 0 0 3 13 21 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 6 7 9 15 27 41 48 45 41 39 36 28 22 21 21 19 21 32 49 66 77 81 73 61 52 46 43 40 36 28 17 8 4 7 17 33 45 49 52 60 63 43 25 21 29 40 40 24 8 1 0 2 11 24 29 23 10 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 4 5 5 8 16 29 42 46 43 41 38 32 25 21 20 18 18 26 37 49 59 61 52 39 34 35 35 32 27 20 12 6 4 7 16 29 36 36 41 56 66 53 26 18 27 44 44 27 8 2 3 9 23 22 19 12 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 5 10 20 34 44 45 45 44 40 32 25 22 21 22 25 26 27 29 30 28 26 25 27 27 24 19 14 11 9 8 10 16 22 23 23 27 44 66 71 54 40 45 56 50 28 8 2 7 17 29 16 11 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 3 5 8 16 27 37 43 46 46 42 34 26 22 22 27 30 27 19 13 11 14 19 24 28 30 28 23 19 18 18 17 15 14 13 12 13 17 30 52 71 72 65 63 62 51 28 8 2 9 20 26 17 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 1 0 2 6 9 14 22 29 35 39 41 39 32 24 19 19 22 26 25 17 8 5 8 14 21 29 36 37 33 28 27 27 24 19 13 9 8 10 17 26 43 59 66 63 54 43 35 26 13 5 13 20 24 22 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
6 2 1 3 8 11 14 17 20 25 30 34 35 32 24 18 17 19 21 19 13 6 1 4 9 17 27 38 43 40 33 29 27 21 14 10 9 11 18 26 33 41 50 52 45 31 19 17 22 21 16 22 22 23 20 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 3 3 5 8 11 12 12 12 15 20 26 31 32 28 22 18 16 14 13 10 6 4 4 7 12 20 32 40 37 29 24 20 11 6 4 8 16 28 37 42 44 46 40 28 15 8 10 20 31 28 28 23 18 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 7 7 7 7 6 7 10 14 21 27 27 24 19 14 12 11 11 12 11 10 9 10 15 23 28 27 23 19 15 8 3 3 7 18 32 41 44 41 37 29 18 10 6 11 23 36 34 27 26 15 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 5 4 3 2 2 2 2 2 5 9 15 17 15 13 13 13 14 16 19 22 22 21 21 22 24 26 25 21 18 15 12 8 5 7 17 29 36 37 33 27 22 21 18 13 17 27 34 33 26 24 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 1 0 0 0 0 1 3 4 6 6 6 8 13 18 23 25 29 35 43 48 47 43 40 39 38 31 24 20 18 16 12 11 17 26 32 32 28 26 30 37 37 30 30 40 50 45 32 18 7 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 2 1 1 1 0 0 0 0 1 3 4 5 5 4 6 12 21 28 32 35 40 48 55 57 53 49 48 51 54 49 38 29 24 21 18 18 22 30 37 39 37 40 49 59 60 51 42 49 58 48 29 14 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 4 1 0 0 0 0 1 2 4 6 8 8 9 10 14 23 31 35 34 33 34 36 40 46 48 42 38 44 55 59 52 42 33 27 24 26 33 41 47 51 53 57 65 73 72 63 52 52 60 46 23 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 8 3 0 0 0 1 2 4 6 8 10 14 19 24 30 36 39 34 25 21 24 30 40 54 59 53 45 48 60 70 67 57 45 38 34 36 43 51 54 55 60 65 68 71 73 69 62 60 59 39 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
24 16 8 3 1 0 0 1 3 5 7 10 19 28 35 39 40 37 26 16 18 29 38 48 58 65 66 65 70 79 84 78 67 57 50 45 44 55 62 58 53 58 65 65 64 71 71 64 58 46 24 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
25 24 18 11 5 2 0 0 1 2 5 9 16 24 30 33 34 32 25 20 26 38 38 32 34 44 55 64 73 79 84 80 70 61 55 52 55 63 61 52 46 51 61 66 65 72 72 57 45 32 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 22 22 19 13 8 4 2 0 1 3 6 8 10 12 17 23 26 28 30 37 43 36 24 19 22 32 45 57 64 72 73 67 61 57 56 56 56 54 49 46 49 57 62 63 67 70 48 30 16 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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