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