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 7 8 10 13 15 13 9 6 4 6 11 12 10 10 11 9 6 5 6 6 7 9 10 11 9 8 6 4 4 4 7 6 6 7 8 8 6 5 4 5 7 11 15 14 12 13 12 12 14 14 12 11 12 13 12 12 13 12 11 10 11 13 14 11 9 12 13 11 12 12 8 4 4 6 8 9 9 9 8 9 11 11 13 18 20 17 14 12 9 7 7 6 5 6 6 6 5 6 7 8 10 10 10 10 12 15 13 8 5 5 8 10 11 12 12 12 12 10 10 10 10 11 14 16 16 13 10 9 12 11 9 8 9 10 8 4 0 -4 -4 -0 1 2 2 0 -2 -4 -3 0 3 6 8 10 12 14 15 16 16 15 13 13 13 13 13 13 12 10 10 nan
nan 9 8 8 10 13 14 10 7 5 5 7 8 7 8 10 8 6 5 6 7 8 9 9 11 10 9 9 8 8 6 5 2 2 5 7 9 8 7 6 5 5 10 13 11 9 9 9 10 13 13 12 12 13 14 15 14 13 11 11 10 10 12 13 12 10 11 12 12 14 13 6 3 3 6 7 8 10 11 10 9 10 10 13 17 20 22 19 18 16 12 9 7 5 5 4 3 3 5 6 5 5 4 4 4 5 8 13 16 16 13 11 11 11 10 8 8 9 9 9 10 9 9 9 11 10 9 7 4 7 11 14 15 15 8 1 -1 -2 -2 -1 3 5 5 6 4 2 1 2 4 5 7 9 11 12 14 15 15 16 15 13 13 13 13 13 13 13 12 11 nan
nan 13 10 6 8 11 11 9 8 8 8 6 6 8 11 11 10 9 8 9 11 12 13 13 13 11 8 8 10 11 9 1 -1 -0 3 6 10 10 8 5 4 5 8 9 8 8 10 10 12 13 12 11 13 14 15 16 15 13 12 11 10 9 10 11 12 12 12 12 13 12 10 4 3 5 7 7 8 9 10 10 10 8 7 8 10 12 16 20 21 18 15 12 9 7 6 4 2 1 2 3 2 1 -0 -1 -1 -2 -1 4 12 16 14 9 7 7 6 6 7 7 9 9 10 10 8 7 6 7 9 9 6 4 8 13 15 11 2 -5 -6 -3 1 5 7 9 10 11 10 9 9 9 9 9 9 10 11 12 11 12 12 13 12 12 11 10 11 11 12 13 12 11 nan
nan 18 10 4 8 9 7 8 11 12 10 7 7 10 13 13 13 13 14 13 12 13 15 18 16 10 6 7 9 8 7 4 4 3 3 6 10 12 7 3 3 7 10 11 10 9 9 13 16 15 12 12 14 13 14 14 14 13 13 12 12 9 7 7 9 10 10 11 11 10 8 6 6 8 8 7 7 8 9 9 9 7 5 4 5 6 10 15 17 14 13 12 11 8 6 4 2 -1 -3 -3 -2 -3 -2 -1 1 1 2 3 6 8 8 6 5 5 6 7 8 9 10 10 10 10 9 8 6 8 8 8 3 -1 3 9 11 9 7 2 -1 1 5 9 10 10 11 12 13 13 13 13 12 11 10 9 10 10 9 8 9 9 8 7 6 6 7 8 9 10 10 10 nan
nan 17 9 6 9 8 7 10 15 13 9 7 6 8 10 11 14 17 17 12 8 9 13 17 12 9 9 9 8 6 7 9 11 9 4 3 9 12 5 1 4 9 12 14 12 8 6 12 16 13 10 12 15 15 14 14 13 13 13 14 13 10 7 6 7 8 9 9 9 8 7 8 8 8 7 6 6 7 9 11 10 7 6 6 8 8 10 12 12 10 9 11 10 8 6 5 5 2 -0 -1 -2 -1 -0 0 2 4 5 6 6 6 6 6 5 6 8 9 11 11 10 9 9 8 8 8 6 4 4 3 0 -1 4 9 9 9 11 10 7 8 9 10 11 11 11 11 11 11 11 12 10 9 7 8 8 7 8 7 7 6 5 4 3 3 3 4 5 6 7 7 nan
nan 13 8 9 11 7 7 13 15 11 7 7 6 5 4 7 13 15 13 8 5 9 12 12 5 6 11 11 10 8 8 9 10 11 5 1 5 7 5 2 4 7 13 18 16 8 1 4 9 8 8 11 14 14 13 14 14 13 14 14 13 12 10 8 8 7 7 7 7 7 8 8 7 6 5 5 6 7 10 13 12 7 5 7 12 13 12 13 12 11 13 15 15 11 7 6 6 6 4 3 2 3 3 2 4 4 6 9 10 10 9 7 6 6 8 10 11 11 10 8 7 7 7 7 6 2 2 2 4 4 6 9 8 7 7 9 11 11 10 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 8 7 7 6 4 3 2 3 3 4 5 6 6 nan
nan 6 5 9 9 5 6 10 12 9 6 9 8 4 1 4 9 10 8 7 7 10 13 9 5 6 11 11 11 10 9 9 11 12 7 2 1 4 7 5 5 6 14 21 20 9 0 -2 2 5 8 10 11 10 12 15 14 14 13 13 14 13 11 10 8 8 8 8 7 7 8 8 6 4 3 4 5 7 11 14 11 4 1 6 12 14 14 13 12 9 9 9 13 12 9 7 7 7 6 5 5 5 5 5 5 6 7 10 12 12 9 7 6 5 6 8 10 10 10 9 7 6 6 7 7 5 4 4 6 6 5 4 4 4 6 8 10 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 9 8 6 5 4 4 4 5 6 8 8 nan
nan 3 4 8 8 7 10 13 13 9 8 8 8 3 1 3 7 8 7 8 10 13 14 8 6 9 11 11 11 11 11 12 14 13 11 7 3 5 10 9 5 7 12 20 18 10 3 -1 1 5 8 10 10 11 14 16 14 13 14 15 18 17 13 10 9 9 9 10 9 9 8 7 5 5 4 6 7 8 12 15 11 4 -0 6 12 14 13 13 12 9 7 4 8 11 9 9 9 9 11 10 8 7 7 6 6 7 8 10 11 9 6 5 5 6 6 7 8 8 9 10 8 6 6 6 7 6 5 5 4 4 2 -2 -4 -0 4 7 8 8 8 7 8 7 7 8 8 8 8 7 7 6 7 8 9 10 11 11 11 11 9 8 5 5 6 7 8 8 9 9 nan
nan 7 7 7 6 9 18 19 11 7 7 6 5 4 4 6 7 8 9 9 11 13 13 9 9 12 13 14 13 12 12 14 14 13 13 9 6 11 16 15 7 6 8 13 13 10 6 4 4 6 8 10 11 12 13 14 13 12 14 17 19 20 16 12 11 11 11 11 11 12 11 9 7 7 8 8 9 9 11 11 8 3 3 8 12 13 12 12 12 11 11 11 15 14 9 9 9 11 13 14 13 11 10 8 8 9 10 11 9 7 6 6 6 7 7 7 7 7 8 9 9 8 7 6 6 5 5 5 4 2 0 -0 -1 1 4 7 8 8 7 8 9 10 9 10 11 11 10 10 10 10 11 12 12 13 12 11 11 10 9 8 7 7 8 9 9 9 9 10 nan
nan 11 11 8 5 9 17 17 9 6 7 7 7 8 9 9 9 10 12 11 11 11 11 11 12 14 14 14 13 14 14 14 13 10 9 7 9 15 19 18 11 6 6 10 12 12 9 6 6 7 9 10 11 11 12 11 12 13 14 13 10 10 11 12 12 11 11 12 13 12 12 11 10 9 9 9 10 10 8 6 4 4 7 10 12 13 12 13 11 11 12 15 18 17 12 10 11 15 17 18 16 14 12 10 10 10 12 11 10 9 8 8 7 7 8 8 8 8 8 9 10 10 9 8 7 5 5 5 4 4 4 4 6 7 7 8 9 10 10 10 11 11 12 12 12 12 12 12 13 13 14 15 15 13 12 11 10 10 9 10 10 10 10 10 10 10 10 11 nan
nan 10 12 8 2 8 15 14 10 8 8 9 10 12 13 12 12 12 13 12 10 10 11 13 13 12 12 12 12 13 15 13 11 8 8 7 10 15 17 17 14 5 7 12 14 14 10 8 8 8 9 9 10 10 12 12 13 13 12 10 5 3 6 8 10 9 8 9 10 10 11 12 12 10 9 10 12 13 9 6 4 5 8 11 12 13 14 14 12 10 7 10 14 15 13 14 16 20 23 22 18 15 12 10 11 11 12 12 10 9 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 8 9 9 9 9 10 10 11 11 12 12 11 11 12 12 13 13 14 14 17 17 17 15 13 12 11 11 11 12 12 12 13 12 12 12 11 11 11 11 nan
nan 4 6 4 1 8 16 17 12 8 7 10 12 13 13 13 13 14 13 12 9 9 12 13 11 9 9 9 10 12 13 12 9 8 9 8 9 12 14 14 13 4 8 16 16 13 10 8 9 10 10 9 10 11 11 12 12 12 11 12 10 9 9 9 8 5 4 6 7 8 10 12 14 14 14 13 13 14 12 9 6 6 8 10 12 13 14 16 13 7 1 6 10 12 13 19 22 21 22 21 18 14 11 10 11 12 12 12 10 9 8 8 9 9 9 9 9 9 10 11 10 8 7 6 6 6 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 11 12 13 14 14 16 18 19 19 17 13 11 11 11 12 13 14 14 13 13 13 13 12 12 12 12 13 nan
nan 5 4 1 2 9 16 16 12 8 7 10 12 13 13 13 12 13 13 11 9 9 13 13 9 7 6 8 9 11 10 9 8 9 10 10 10 11 11 12 11 7 9 15 13 10 8 8 10 12 12 11 11 11 12 12 11 10 10 11 11 12 13 12 9 6 6 7 8 10 10 8 9 13 17 14 11 10 12 12 10 8 7 9 10 11 13 16 14 9 2 4 9 12 16 21 22 15 13 15 16 13 11 11 12 12 12 12 11 10 9 10 11 13 12 12 12 13 13 12 11 10 9 8 8 9 9 8 8 7 8 8 9 9 9 10 10 11 10 8 9 12 13 15 16 17 18 18 17 15 13 12 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 13 nan
nan 10 8 6 5 8 11 13 11 9 9 10 11 12 13 12 12 13 14 12 9 8 11 11 7 6 8 10 10 9 8 6 6 10 13 12 12 11 8 8 9 7 9 10 9 8 8 9 12 13 13 12 12 13 14 12 9 6 5 7 10 11 12 12 11 10 10 11 12 12 9 4 3 5 10 8 3 4 10 13 13 12 10 9 7 8 11 14 14 11 5 4 10 13 15 14 11 6 7 12 15 14 12 13 13 14 14 13 13 14 14 15 15 16 17 16 15 14 12 10 8 8 8 7 7 6 5 5 6 6 6 7 8 8 9 10 9 7 6 6 8 12 15 17 18 18 16 15 13 12 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 11 13 nan
nan 15 16 14 10 9 7 10 10 9 9 10 10 10 11 12 14 15 16 12 8 7 7 8 6 6 9 9 9 7 6 6 7 11 14 16 15 10 5 4 5 5 6 6 6 6 7 9 12 13 13 13 14 15 14 9 5 2 3 5 8 9 9 10 10 11 12 14 14 12 10 6 4 5 5 3 -0 1 6 10 11 11 12 10 7 6 10 12 13 10 7 6 9 10 11 9 4 3 5 10 10 11 11 14 16 16 16 17 17 19 22 23 23 21 19 16 14 10 7 5 3 3 4 5 4 4 4 4 5 7 7 9 9 9 10 10 7 5 4 6 9 13 15 15 16 16 14 12 11 11 11 11 10 10 9 9 8 9 9 10 11 12 12 11 11 10 10 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
54 44 44 52 63 77 88 88 75 67 74 83 84 79 76 79 85 88 92 97 100 90 76 72 79 86 80 62 47 44 46 38 24 12 5 4 3 4 5 5 4 4 3 2 2 2 2 1 1 2 5 7 8 9 12 13 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
52 38 38 44 54 75 101 109 99 91 90 76 54 45 47 63 85 101 105 96 86 80 80 89 94 87 71 53 41 35 36 33 23 12 8 10 11 12 11 8 5 3 1 0 0 0 0 0 0 1 2 5 8 13 17 15 10 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
61 52 55 58 60 70 99 115 110 102 88 61 34 28 35 55 82 91 80 61 47 43 53 76 91 82 60 43 32 26 23 21 17 14 18 25 25 19 14 9 4 1 0 0 0 0 0 0 0 0 1 5 11 19 21 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
77 81 85 80 70 72 95 120 115 100 82 66 54 50 55 64 76 74 55 36 22 18 30 55 77 75 56 39 30 21 14 13 15 20 29 35 32 21 13 8 3 0 0 0 0 0 0 0 0 0 2 7 15 21 18 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 0 0 0
88 98 100 90 76 74 91 116 117 95 79 77 77 76 77 76 73 66 50 29 16 11 21 47 72 77 62 43 30 19 14 15 20 26 33 36 31 18 8 5 2 0 0 0 0 0 0 0 1 2 5 12 18 18 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
89 99 108 105 95 88 97 114 114 92 75 76 72 75 80 79 72 62 47 28 14 8 16 44 73 82 68 48 32 22 23 26 28 32 37 38 32 17 6 2 0 0 0 0 0 0 0 1 4 6 12 19 20 14 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 0 0 0 0
101 114 124 126 125 117 119 121 109 87 72 67 61 62 71 76 71 59 44 27 12 6 11 41 72 82 73 58 44 34 30 32 34 38 40 39 30 16 4 0 0 0 0 0 0 0 1 4 11 19 23 25 18 9 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
119 126 121 117 121 126 132 127 107 83 69 63 59 56 64 74 74 63 48 30 14 7 14 41 76 85 78 70 64 55 43 36 37 41 42 36 27 14 4 0 0 0 0 0 0 0 2 10 18 22 23 22 13 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
100 103 97 90 91 106 124 128 108 84 69 62 56 52 56 69 78 75 60 39 21 16 30 56 86 98 89 84 82 79 69 55 47 46 45 35 23 12 4 1 0 0 0 0 0 0 4 13 16 16 18 17 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 0 0 0
55 65 80 79 77 88 107 119 109 87 70 61 52 45 45 56 71 80 71 49 28 23 50 77 83 90 89 90 95 92 87 79 67 57 48 34 18 8 2 0 0 0 0 0 0 0 4 12 11 10 12 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 50 75 84 78 81 93 104 100 86 69 58 50 39 32 36 51 66 65 49 27 18 28 36 46 63 73 74 80 82 78 78 76 61 42 25 11 3 0 0 0 0 0 0 0 1 3 9 8 6 6 6 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
40 56 76 87 82 81 85 89 88 79 66 55 47 32 20 19 29 43 50 41 24 9 3 1 6 25 43 47 44 42 43 49 58 43 22 7 2 1 0 0 0 0 0 0 0 0 2 4 5 3 4 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 0 0 0
51 63 73 78 79 80 81 81 79 70 60 51 41 27 14 8 16 32 42 40 29 15 9 6 7 17 26 27 22 18 19 24 29 17 6 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
56 60 64 67 70 75 78 77 71 62 55 48 39 27 14 5 6 23 44 52 48 39 32 27 19 15 18 18 15 11 9 9 8 4 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 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 0 0 0 0 0 0
56 58 58 60 63 68 72 70 63 56 54 53 46 32 18 7 2 11 42 65 71 63 53 41 23 11 9 11 12 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
55 57 58 59 60 63 66 64 60 58 62 63 53 37 23 10 2 4 27 70 82 71 58 45 28 15 9 10 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 11 11 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
55 61 65 63 60 62 63 63 62 64 68 64 49 35 25 14 4 0 16 57 84 79 59 50 37 23 14 11 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 8 8 11 8 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
58 67 69 67 64 63 64 64 67 68 64 53 38 28 26 19 7 1 11 48 85 88 69 59 47 32 21 14 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 16 14 12 11 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 0 0
61 63 62 63 65 66 66 68 72 67 55 40 27 22 24 24 12 4 13 46 83 94 82 71 58 41 28 18 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 23 20 14 11 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
47 43 47 56 64 70 75 80 81 67 45 28 18 17 22 25 18 14 24 52 85 96 89 80 69 52 35 22 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 23 26 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
21 24 37 53 63 73 88 97 91 65 35 18 11 12 20 26 27 31 41 56 83 93 90 85 77 60 41 25 13 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 9 22 29 26 19 12 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 0 0 0
12 22 39 56 66 77 96 106 90 57 27 13 6 10 21 33 40 43 43 44 60 75 81 84 78 62 42 24 13 7 4 2 0 0 0 0 0 0 0 0 0 0 0 3 10 21 30 30 26 20 14 9 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
19 34 50 63 70 77 89 92 71 42 20 11 9 13 22 38 45 39 27 21 29 53 70 69 65 52 37 24 14 9 5 2 0 0 0 0 0 0 0 0 0 0 2 10 22 31 30 24 21 18 12 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 48 59 65 70 74 75 69 50 28 14 11 14 15 20 35 42 25 14 10 18 40 63 58 47 40 30 21 15 9 4 1 0 0 0 0 0 0 0 0 0 0 5 18 29 30 24 18 16 13 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 0 0 0 0 0
44 54 57 59 64 70 70 59 39 20 10 10 14 16 20 29 35 18 9 9 20 38 49 44 32 27 21 16 11 6 2 0 0 0 0 0 0 0 0 0 0 2 8 20 26 24 19 16 14 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 0 0 0 0
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45 40 39 41 45 54 69 62 38 17 10 17 34 37 30 30 30 23 11 7 12 17 14 9 6 5 4 3 4 4 2 0 0 0 0 0 0 0 0 0 2 7 14 19 20 17 16 15 14 10 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 0 0 0 0 0
37 32 34 38 41 46 55 45 26 15 15 23 30 29 25 27 30 25 14 8 10 12 9 7 5 3 2 2 3 5 4 1 0 0 0 0 0 0 0 1 6 12 17 20 19 17 17 14 10 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 0 0
36 28 31 34 34 32 29 20 10 10 11 14 15 17 18 21 27 26 17 10 9 9 7 5 4 3 2 2 4 4 3 0 0 0 0 0 0 0 2 5 11 17 20 20 17 15 14 12 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 0 0 0 0 0 0
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