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 12 17 19 18 14 12 10 6 2 -1 2 8 9 6 4 4 4 4 6 6 8 10 10 10 12 13 15 20 21 19 8 -1 -0 0 3 8 11 12 11 10 5 6 7 8 6 3 1 6 13 14 14 15 17 14 15 24 30 23 9 3 8 16 17 13 6 5 10 13 13 18 23 24 20 17 15 13 12 10 8 7 6 7 9 8 8 15 22 19 14 10 8 6 6 6 6 4 2 3 5 4 4 5 5 6 9 14 16 14 10 9 12 12 10 6 1 -1 -1 0 4 13 20 20 17 13 8 3 -2 -3 -4 -4 -3 2 9 10 6 0 -4 -5 -4 1 7 11 11 10 9 8 7 9 14 17 14 5 5 6 2 2 5 8 5 3 4 7 9 13 17 19 19 nan
nan 16 20 25 23 16 12 11 8 6 4 4 3 2 1 1 2 2 3 6 8 10 10 10 9 11 11 12 15 17 17 9 1 -1 1 5 9 8 10 12 7 5 4 5 7 5 5 6 12 12 9 9 16 18 14 13 20 24 23 15 11 14 19 22 21 13 7 8 11 14 21 23 23 20 19 21 22 22 16 11 9 10 12 12 8 7 11 19 20 17 14 11 9 8 10 6 4 2 3 5 5 3 2 4 8 12 15 18 21 19 14 12 14 13 9 4 -1 0 4 7 12 17 18 18 15 12 9 4 -0 4 11 14 12 12 3 -4 -5 -4 1 5 9 11 10 10 10 9 9 10 10 12 16 16 9 5 10 11 10 9 9 6 3 2 4 6 8 11 12 12 nan
nan 14 16 18 16 10 8 10 8 8 6 5 2 1 2 3 4 4 6 9 11 11 11 14 14 13 13 11 11 12 12 13 10 8 7 10 12 13 14 7 -2 -0 2 4 6 8 9 11 16 13 6 6 13 15 15 12 10 14 17 17 17 16 18 21 23 19 13 11 12 16 20 20 22 23 22 20 18 15 11 8 6 7 13 16 14 12 14 14 12 11 14 14 12 12 12 8 6 5 4 5 5 3 3 5 9 12 12 10 11 15 12 9 10 13 12 8 3 4 10 10 7 8 13 18 17 16 15 15 11 14 21 24 18 13 7 -1 -4 -1 6 9 11 13 13 11 10 10 11 12 13 14 19 22 18 12 15 18 15 10 6 4 2 2 3 5 6 6 7 8 nan
nan 10 10 9 14 9 7 8 9 7 6 5 8 10 10 10 10 9 10 10 10 11 12 14 13 12 12 11 10 9 9 13 14 14 14 15 16 18 22 12 1 -1 1 6 10 12 10 15 16 12 6 4 10 15 15 10 8 9 9 13 15 15 15 16 18 17 14 11 13 14 14 12 17 22 21 16 10 5 4 4 3 6 12 18 18 16 16 15 11 11 15 15 11 10 10 8 4 3 1 2 2 2 3 5 7 8 6 1 -1 5 9 8 9 13 13 11 9 9 11 7 3 3 7 12 13 10 9 10 10 13 21 23 19 17 20 12 2 4 8 9 9 14 15 13 12 12 13 14 17 21 25 26 22 17 16 18 14 8 3 1 1 1 2 4 4 5 7 8 nan
nan 8 5 11 13 7 11 16 17 13 9 7 9 11 13 13 14 14 12 10 10 13 13 12 10 7 7 8 9 9 12 11 9 12 14 16 15 14 19 17 13 8 7 10 12 12 9 12 14 11 7 5 8 12 12 10 10 10 9 9 9 13 16 16 13 10 8 8 11 11 9 7 12 19 18 11 5 2 2 2 3 10 19 23 20 16 16 17 15 11 11 9 5 6 8 9 7 3 2 1 2 4 4 4 4 6 8 5 1 3 7 10 9 8 12 17 17 15 11 5 2 2 2 4 7 2 -3 -5 -2 5 13 17 17 19 23 21 13 11 11 10 8 11 14 12 11 12 14 15 20 25 25 23 18 15 15 17 15 9 4 2 2 2 3 6 7 7 7 8 nan
nan 6 3 12 6 2 9 15 17 16 15 16 17 15 11 10 12 14 13 10 12 15 15 11 8 3 3 5 8 12 17 16 13 8 11 13 12 9 8 12 17 17 16 13 13 13 12 10 10 8 9 7 6 10 12 10 10 10 10 9 7 8 13 14 9 6 5 5 7 9 8 7 10 16 16 10 5 3 3 3 6 17 25 24 16 13 17 18 16 14 11 10 8 9 10 10 10 9 8 7 8 10 9 6 6 8 10 9 7 4 8 11 9 5 11 17 19 17 13 8 6 3 0 1 1 -2 -4 -6 -3 4 7 8 10 15 19 22 17 12 12 10 7 7 9 8 8 9 12 14 18 21 19 15 13 13 12 14 16 13 7 2 3 5 7 10 11 10 8 7 nan
nan -1 3 12 8 5 5 5 4 6 9 13 16 17 14 11 11 12 10 11 15 16 15 10 8 5 2 3 8 12 16 16 11 8 11 11 10 8 8 12 15 20 17 14 10 8 10 11 9 8 11 12 11 13 14 12 9 7 8 12 10 8 9 8 6 6 7 6 6 6 7 9 12 15 16 11 7 4 4 4 7 18 24 18 9 9 15 15 15 14 12 13 15 15 15 14 14 14 14 14 14 15 13 11 11 12 11 11 11 9 9 9 8 8 11 13 14 13 13 13 12 8 5 4 3 0 -1 -1 3 9 9 3 2 7 14 18 16 11 9 8 8 6 7 7 9 11 12 15 17 17 14 11 9 8 9 10 11 10 6 3 4 7 9 10 12 12 11 10 nan
nan 2 7 8 4 6 17 18 6 -0 1 3 4 4 7 7 8 10 10 11 15 15 13 10 9 8 5 6 7 10 13 12 9 11 11 8 8 9 11 14 16 15 11 11 8 5 4 6 6 7 11 14 15 16 17 16 11 9 9 12 13 11 8 4 6 8 8 6 4 5 9 13 14 12 11 10 9 5 3 3 5 12 17 10 7 9 12 14 13 9 8 9 14 18 20 16 14 14 15 16 17 16 13 14 15 14 12 10 11 12 10 8 7 8 9 9 9 10 12 14 14 12 11 12 12 8 5 6 8 11 12 9 4 4 8 13 12 8 6 7 10 10 9 10 12 13 13 16 19 19 13 8 4 3 5 6 6 6 6 6 5 6 7 9 12 14 13 13 nan
nan 12 10 3 -1 6 17 18 12 6 6 5 2 1 3 6 8 11 12 12 12 12 12 12 8 7 7 9 7 9 11 12 14 13 8 5 8 10 13 13 12 9 9 12 12 4 1 2 4 5 8 12 16 19 21 19 13 9 9 8 8 9 9 7 8 9 6 4 4 7 10 14 13 9 7 7 9 6 3 3 4 9 11 8 8 12 15 15 8 4 8 12 13 14 14 13 12 12 12 12 13 13 13 15 16 15 13 10 9 10 10 9 8 8 8 9 10 11 12 12 11 12 15 17 17 15 14 14 14 14 15 16 15 11 10 10 10 8 7 9 13 15 15 14 13 11 12 16 21 22 16 9 4 3 5 5 6 8 9 8 6 8 11 13 15 16 15 16 nan
nan 17 17 11 8 11 15 8 5 7 7 6 7 11 11 11 11 12 12 12 9 10 12 14 10 6 7 9 7 7 8 12 15 16 12 9 9 11 12 8 5 8 13 11 12 6 1 2 5 6 7 10 15 20 25 23 15 9 8 6 3 3 3 7 10 8 4 3 7 11 11 10 9 9 7 7 7 6 4 3 5 7 9 10 11 14 18 17 6 3 10 16 14 9 8 11 11 13 12 11 11 12 13 15 15 15 14 12 11 12 11 9 9 9 10 11 12 13 13 12 12 13 14 15 15 16 17 17 15 14 13 14 16 16 15 14 11 10 11 15 18 18 18 16 13 12 14 18 21 20 18 13 8 8 10 11 12 11 9 8 9 14 19 19 17 16 17 17 nan
nan 6 13 12 13 14 17 11 6 8 8 8 10 13 14 12 11 12 12 10 6 7 13 14 10 6 7 8 6 4 6 11 16 19 17 14 10 11 10 9 1 8 14 11 10 6 2 7 11 11 11 12 15 19 21 19 13 8 7 6 4 3 5 7 8 6 4 4 8 11 13 11 6 9 11 8 5 5 4 3 6 8 11 12 12 13 14 16 4 1 11 19 15 4 6 10 9 12 14 14 12 12 12 12 12 14 16 15 14 14 13 11 10 10 11 11 11 12 14 14 15 15 15 14 12 12 14 14 12 11 10 11 12 13 14 14 13 12 14 18 19 17 17 16 14 14 16 17 17 16 18 17 12 12 15 17 16 13 10 11 15 18 20 18 16 15 15 15 nan
nan 2 -2 -1 4 8 13 16 13 10 9 11 12 12 12 11 9 11 12 10 8 7 11 12 9 9 10 8 7 6 7 10 14 16 16 14 10 8 9 10 4 8 10 8 5 5 7 13 18 18 16 15 14 14 13 10 8 7 7 6 6 8 10 8 6 4 4 3 5 8 10 10 6 10 16 14 7 3 1 3 6 11 14 13 10 9 9 9 3 3 16 20 12 0 3 8 8 9 13 15 12 9 7 7 8 11 14 14 14 15 13 12 11 11 11 11 11 13 14 13 13 14 15 13 11 12 13 14 9 6 8 12 14 15 13 11 9 9 11 11 11 13 13 16 15 13 13 12 12 13 15 15 12 12 15 19 20 19 17 17 15 14 13 12 12 13 13 12 nan
nan 10 5 -1 -1 1 7 10 13 15 13 12 12 12 10 8 7 10 12 11 11 11 10 10 9 11 11 9 10 9 7 7 9 15 15 11 9 7 10 12 10 7 6 2 2 10 15 20 26 25 18 12 8 7 6 6 6 7 7 6 7 8 9 7 6 5 5 3 2 5 7 6 3 3 12 14 11 4 3 2 5 13 13 11 8 6 6 6 6 9 16 13 5 -0 2 5 4 6 10 10 10 2 -2 0 4 8 10 11 12 14 14 14 12 12 13 15 16 16 14 12 11 12 12 11 10 12 14 12 5 3 9 14 15 11 7 4 4 5 5 2 -0 4 7 14 16 13 11 11 12 12 11 10 9 10 14 19 21 20 19 16 13 11 11 11 11 12 11 9 nan
nan 9 6 7 5 4 3 2 7 12 13 10 10 12 11 8 8 9 10 10 10 10 10 8 8 11 10 7 9 11 6 5 10 17 16 10 9 6 8 12 13 9 5 1 6 16 21 25 30 26 13 5 1 2 4 4 4 6 7 7 8 8 8 8 7 8 10 9 7 6 6 7 7 3 2 4 3 1 3 5 11 14 13 12 8 5 5 5 9 11 12 8 4 2 2 1 -0 5 6 3 1 -3 -4 -1 3 6 9 10 11 13 14 14 14 14 17 19 18 14 10 8 8 10 11 10 9 9 9 4 3 6 10 12 8 3 0 2 3 3 2 -1 -3 1 3 8 14 14 12 11 12 11 8 6 6 8 11 14 14 14 12 10 9 10 13 14 14 12 10 7 nan
nan 16 15 15 11 10 10 2 -3 6 15 10 9 11 10 10 11 12 10 9 9 9 8 6 8 11 10 6 6 9 7 8 15 18 16 13 9 4 4 8 11 11 10 7 11 17 21 24 25 21 7 -2 -2 -0 1 1 2 5 8 10 10 9 9 10 11 12 14 15 13 11 8 10 12 10 4 2 -1 0 3 9 13 10 11 14 9 8 6 7 9 9 9 9 8 4 1 0 1 6 6 1 -3 -4 -2 1 3 7 11 10 10 12 13 14 17 21 22 18 13 9 5 5 6 9 10 10 8 7 8 6 7 10 11 9 3 -0 -0 2 3 4 3 2 3 5 4 4 8 11 10 8 8 7 6 5 5 6 8 9 7 7 8 9 11 12 13 13 12 10 7 4 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
84 75 80 87 93 100 112 119 104 67 36 25 28 50 79 95 99 99 105 115 120 114 100 84 69 58 54 59 67 72 71 69 71 68 59 49 44 40 34 26 15 9 7 5 2 3 7 10 12 15 15 13 7 2 0 0 0 0 0 0 0 1 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
87 78 76 86 95 97 101 106 93 59 28 21 27 48 76 96 103 102 98 99 100 97 89 76 67 64 67 73 80 83 82 79 78 73 68 60 52 46 39 29 19 9 5 4 6 9 11 12 14 15 15 13 6 1 0 0 0 0 0 1 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
83 77 72 78 92 101 101 101 90 59 30 25 37 58 78 91 97 94 84 79 78 78 75 71 72 77 82 86 90 92 90 84 78 73 71 68 60 51 41 30 17 7 3 6 9 11 11 12 14 14 14 10 4 1 0 0 0 0 0 3 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 70 61 65 82 103 112 106 95 69 45 42 56 73 82 87 88 82 72 65 62 64 68 73 80 85 85 87 92 96 93 84 75 71 72 73 72 62 46 30 16 8 6 7 9 10 10 11 13 13 10 6 2 0 0 0 0 0 4 6 6 6 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
69 60 48 50 71 100 118 116 102 85 70 71 79 83 85 85 80 71 62 55 53 57 65 72 75 72 70 74 85 92 88 78 70 70 73 77 78 71 54 33 18 10 7 7 8 10 11 12 13 11 6 2 0 0 0 0 0 1 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
62 54 37 37 59 91 116 121 113 102 94 97 94 88 84 80 72 62 54 50 50 55 62 62 57 51 51 60 75 84 78 67 64 68 74 79 82 78 64 43 27 16 9 7 8 11 14 14 12 6 2 0 0 0 0 0 0 2 6 11 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
60 52 36 30 46 77 104 116 115 111 109 110 105 92 83 75 66 56 50 50 53 58 58 52 42 36 38 50 65 71 65 55 54 60 69 77 82 81 73 59 45 30 15 10 10 15 19 17 11 4 0 0 0 0 0 0 2 6 9 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
61 55 42 34 39 63 91 102 103 106 112 117 116 104 89 77 66 57 53 54 58 59 54 46 35 28 32 44 56 61 59 54 51 53 60 73 83 85 81 73 61 43 24 18 21 27 27 21 11 3 0 0 0 0 0 0 3 8 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
64 60 50 39 39 55 79 88 88 94 105 116 122 116 103 88 75 67 63 63 65 63 54 43 33 28 34 44 54 61 62 58 54 52 55 67 83 89 90 86 74 55 37 32 37 43 38 26 13 4 0 0 0 0 0 0 2 8 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
74 73 58 43 39 51 68 78 80 84 95 107 115 118 114 105 95 86 79 76 74 70 59 46 38 37 42 50 54 58 58 55 52 51 54 65 82 94 98 93 79 61 48 46 50 52 45 29 15 5 1 0 0 0 0 0 1 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
80 85 69 47 40 47 63 76 80 83 91 98 104 113 118 119 116 109 98 90 85 78 68 56 49 49 51 51 46 41 40 41 43 46 52 61 76 92 99 93 79 65 56 54 55 52 40 23 12 5 1 0 0 0 0 0 2 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
79 81 71 49 40 42 57 74 82 87 93 98 104 107 114 122 127 124 113 101 93 84 77 69 60 53 48 42 32 26 27 30 35 41 48 57 70 84 94 90 76 66 60 57 52 44 32 17 7 3 0 0 0 0 0 3 6 5 1 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
74 70 59 46 40 38 47 65 78 85 90 95 98 99 102 113 123 125 118 108 99 90 81 70 56 47 37 28 21 18 20 26 32 41 50 57 66 78 86 84 71 62 58 52 42 31 21 12 4 1 0 0 0 0 0 2 4 3 1 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
71 56 44 38 37 36 39 53 68 75 79 82 83 85 89 98 111 118 118 112 102 91 78 63 47 37 28 21 18 17 19 25 34 48 61 68 72 77 80 74 62 56 54 48 32 18 11 6 2 0 0 0 0 0 0 0 1 1 1 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
78 57 37 33 34 34 35 42 56 67 72 74 76 77 80 88 100 111 115 112 101 85 69 54 42 33 26 22 21 20 22 29 44 62 78 87 86 82 77 66 56 52 51 44 24 8 6 4 1 0 0 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
87 74 49 36 35 34 33 36 48 62 72 75 75 76 78 85 95 106 111 108 94 78 63 51 41 34 30 27 25 24 27 37 56 78 94 101 96 86 76 65 55 51 48 38 22 8 6 4 1 0 0 0 1 2 1 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 0 0 0
91 87 71 53 45 40 35 36 46 59 71 77 78 77 81 85 94 103 105 98 88 74 59 47 42 38 35 32 30 29 32 44 64 85 100 104 99 87 73 59 50 43 38 33 24 15 9 4 0 0 0 0 1 1 3 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
92 91 86 74 60 50 42 42 48 59 72 80 82 82 82 85 93 99 97 90 82 69 54 44 42 41 39 36 35 35 38 48 65 83 94 94 87 74 58 42 33 28 26 25 22 17 12 6 1 0 0 0 0 1 2 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
96 95 93 87 75 61 52 50 54 63 74 84 88 86 84 86 94 92 88 85 77 63 50 42 40 41 41 41 41 41 42 49 62 76 81 77 67 53 38 25 16 12 11 9 9 9 7 5 2 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
94 94 95 92 83 71 63 60 63 69 77 83 88 91 91 91 95 99 90 85 74 60 49 43 42 43 45 47 48 46 43 46 58 69 71 64 52 38 24 13 6 4 2 1 1 2 2 2 1 0 0 0 0 1 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
87 91 95 95 87 78 72 71 73 76 78 79 86 101 106 104 103 100 91 85 72 59 50 46 46 48 52 55 57 52 41 40 51 62 64 56 43 30 17 8 4 3 3 2 1 0 0 0 0 0 0 1 2 2 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 0 0 0 0
80 87 94 96 89 81 79 80 80 80 80 82 93 111 118 114 108 100 90 83 71 58 50 46 48 53 61 66 68 63 44 34 44 56 59 52 39 27 16 9 6 4 3 3 2 2 2 2 1 1 4 6 4 3 4 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
78 86 93 93 87 80 80 84 84 85 88 93 100 110 116 115 111 98 87 80 70 57 48 46 50 60 73 80 81 72 55 38 41 53 57 51 39 28 18 13 11 9 7 6 5 5 6 7 6 6 8 6 4 3 3 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
84 90 92 87 78 74 76 82 87 92 98 101 101 103 110 112 115 105 90 77 64 53 46 46 52 64 78 88 88 79 68 56 52 57 57 51 41 31 22 16 13 12 10 9 9 11 13 14 13 14 13 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
90 86 84 75 67 66 72 81 89 93 98 98 94 96 106 115 119 108 89 74 59 48 43 43 44 48 63 81 88 84 78 73 69 65 59 51 42 31 23 18 14 12 11 10 11 16 19 20 18 18 14 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
85 74 71 67 65 68 75 84 88 88 86 84 78 80 98 116 118 99 76 65 53 44 38 33 28 32 48 72 86 86 84 84 78 65 55 47 38 28 24 20 17 14 12 12 16 21 24 24 22 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 0 0 0 0
82 75 72 72 73 75 78 81 80 76 71 66 64 66 89 109 102 79 58 50 44 40 33 26 22 28 43 62 76 81 82 88 76 56 43 37 32 30 27 23 19 16 15 18 21 24 26 24 22 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 0 0 0 0 0
79 76 73 73 73 73 73 73 70 66 62 59 60 66 87 102 82 54 38 37 38 37 30 24 25 32 42 51 60 68 72 81 68 46 30 27 31 35 31 23 18 16 18 21 22 22 21 20 18 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 0 0 0
62 63 64 66 67 67 66 67 65 63 61 62 65 72 84 90 69 44 34 33 34 31 27 24 30 36 40 44 49 55 60 63 55 38 26 27 34 35 24 18 16 18 21 23 19 14 12 14 13 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
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