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 7 6 4 5 7 8 8 8 8 9 9 9 11 11 9 6 6 9 8 8 7 5 4 7 8 8 9 10 11 10 10 9 9 9 9 8 8 7 7 8 9 9 9 8 8 9 9 8 8 8 7 7 7 10 10 8 6 6 8 10 11 9 7 7 9 10 9 8 7 7 7 9 9 8 7 8 8 7 7 nan
nan 7 7 6 5 5 5 6 7 6 7 8 7 7 9 9 7 7 8 9 9 9 8 6 6 7 8 9 10 11 11 10 9 9 9 10 9 8 7 7 7 9 10 9 9 9 9 9 8 8 8 7 6 6 9 11 8 6 7 8 9 10 9 7 7 8 9 9 8 7 6 6 8 9 8 8 9 8 8 8 nan
nan 7 7 8 7 6 4 4 5 6 8 8 7 7 7 8 8 8 8 9 10 11 10 8 8 7 7 8 10 11 11 10 9 9 9 9 9 9 7 7 7 9 10 9 9 9 10 9 8 8 8 8 7 7 8 9 7 7 7 9 10 10 8 7 8 9 9 9 8 7 6 6 6 7 7 8 8 9 9 9 nan
nan 8 8 8 8 7 5 4 6 8 9 8 8 7 7 8 8 8 8 8 9 11 11 9 8 7 7 8 9 10 10 11 10 10 9 8 9 8 8 7 7 9 9 9 10 9 10 9 8 8 8 8 8 7 8 7 6 7 8 10 10 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 9 nan
nan 9 8 9 8 7 6 5 6 8 9 9 9 8 8 8 7 8 9 9 8 9 10 9 9 7 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 8 9 10 9 10 10 9 8 8 9 9 9 8 7 6 6 7 9 9 9 8 8 9 8 8 8 6 6 7 8 8 9 8 8 7 8 9 9 9 nan
nan 9 9 9 8 8 7 5 6 8 9 9 9 8 9 8 6 5 7 9 8 8 8 8 9 9 8 9 10 10 10 11 11 11 10 10 9 8 8 8 8 8 9 9 9 10 9 9 8 8 9 9 9 9 8 5 4 6 9 10 9 9 9 9 9 9 7 6 6 6 7 8 10 9 8 8 8 8 9 9 nan
nan 9 9 9 9 9 8 5 6 7 7 8 8 9 9 9 7 6 7 8 8 7 7 7 9 9 8 9 11 10 10 10 11 10 10 10 9 9 8 8 9 8 8 9 9 9 9 9 8 8 9 10 9 10 9 6 4 6 8 9 10 10 11 10 9 8 7 6 6 6 7 7 9 9 9 9 9 8 9 9 nan
nan 11 10 10 10 10 9 7 6 6 6 6 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 11 11 11 11 10 10 9 9 9 9 8 8 9 8 8 9 9 9 9 9 9 8 8 9 8 9 9 7 6 7 8 7 9 10 11 11 10 9 7 6 6 6 6 6 8 9 8 9 9 9 9 9 nan
nan 12 11 11 10 10 9 8 6 6 6 5 7 8 8 9 9 9 9 9 8 7 8 8 8 8 9 10 11 11 10 11 10 11 9 9 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 9 8 9 8 7 7 8 8 7 7 9 10 12 12 10 8 7 6 6 6 6 6 7 8 9 9 9 9 9 nan
nan 10 10 10 9 9 9 8 7 6 6 6 7 8 8 8 8 9 10 10 8 7 7 8 9 8 9 11 11 10 9 9 9 11 10 10 10 9 8 8 9 10 10 9 8 9 9 9 8 8 8 9 10 9 8 6 7 8 8 7 8 8 9 11 12 10 9 8 6 6 7 7 6 6 8 8 9 10 10 10 nan
nan 9 9 9 8 8 8 8 7 7 7 7 7 8 9 8 8 8 9 10 9 8 8 9 10 9 8 10 11 10 9 8 9 9 9 9 9 9 9 9 8 9 9 10 9 8 9 9 8 7 7 8 10 10 8 7 7 8 7 7 8 9 9 10 10 10 9 7 5 5 7 8 6 5 6 7 9 10 10 12 nan
nan 10 10 9 9 9 8 8 8 7 7 7 6 7 9 9 8 7 7 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 9 9 8 9 10 9 8 9 9 8 7 7 7 9 9 9 8 8 8 7 6 7 9 10 10 9 9 9 7 6 5 6 8 7 5 5 6 8 9 10 11 nan
nan 11 10 9 9 10 9 9 8 7 7 8 7 7 8 9 8 7 7 8 8 9 10 10 9 8 9 10 11 10 10 10 9 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 8 6 6 6 8 10 11 10 9 9 8 7 6 7 8 8 7 6 5 6 8 9 10 nan
nan 12 11 10 10 11 11 9 7 7 7 8 8 8 8 9 8 7 7 8 8 10 10 8 7 8 9 10 12 11 10 10 9 8 9 10 10 10 9 9 9 10 10 9 9 9 9 8 9 9 8 7 8 8 9 9 9 8 7 5 4 5 9 11 11 10 8 8 7 6 6 8 10 11 9 8 7 8 8 8 nan
nan 12 12 11 12 12 11 9 8 7 7 8 8 8 8 8 8 8 7 8 9 10 10 8 7 7 8 10 11 11 10 10 10 9 9 10 10 10 9 9 9 10 10 10 9 9 9 9 8 9 8 8 8 8 8 9 9 8 7 6 4 4 7 10 11 10 8 8 7 7 7 8 10 12 12 12 11 11 10 7 nan
nan 10 10 10 12 12 10 9 8 7 6 7 8 8 8 8 8 8 7 7 9 11 10 9 7 7 8 8 8 9 11 11 11 10 10 10 10 9 9 8 8 9 10 9 9 9 9 9 8 8 9 8 9 9 9 8 9 9 8 8 6 4 5 8 9 9 8 8 8 7 7 8 8 9 11 12 12 13 12 9 nan
nan 9 9 9 10 11 10 9 8 7 7 7 7 7 7 9 9 8 8 7 8 10 10 9 8 8 9 8 8 8 9 12 12 12 11 10 9 10 9 8 8 8 9 9 8 8 9 9 8 7 8 9 9 10 10 9 9 9 9 8 8 6 6 7 8 8 8 8 7 7 6 8 7 6 7 8 11 12 13 11 nan
nan 9 9 9 9 9 10 9 8 7 8 8 8 7 8 9 9 9 8 8 8 10 10 9 9 9 9 9 9 8 9 10 11 12 12 10 10 9 9 8 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 9 9 10 9 9 9 8 7 7 8 9 9 7 7 7 7 7 7 5 4 6 9 12 13 12 nan
nan 9 9 9 9 9 9 9 8 7 8 9 9 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 8 9 11 12 12 10 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 7 7 8 8 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 6 5 5 8 12 12 11 nan
nan 9 9 9 10 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 11 10 9 9 9 8 9 9 9 8 7 9 10 11 11 10 9 8 9 10 10 10 9 8 8 8 9 9 9 8 8 7 7 7 7 8 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 8 8 10 11 9 nan
nan 8 9 9 10 9 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 10 12 12 8 8 8 9 9 9 9 7 7 8 10 11 10 9 9 9 9 10 9 9 9 8 8 9 9 9 9 8 8 8 8 7 8 8 9 9 9 9 9 9 9 8 7 6 6 7 8 9 9 8 8 7 7 9 8 nan
nan 9 9 9 9 9 8 7 7 7 8 8 9 9 9 10 10 10 9 9 9 8 8 11 12 10 8 8 8 8 9 9 8 7 7 8 11 11 10 9 9 10 10 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 8 7 7 8 9 9 9 6 5 5 5 9 12 nan
nan 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 11 10 10 10 10 8 8 9 12 11 10 9 8 7 7 9 9 9 8 7 10 12 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 9 9 9 8 8 7 7 7 9 9 9 9 9 10 10 10 9 9 7 8 9 9 11 13 nan
nan 9 9 9 9 10 9 8 8 9 8 7 8 9 9 10 10 10 10 10 10 9 8 9 10 11 11 10 10 8 8 9 9 10 9 8 9 12 11 9 8 9 9 9 9 8 9 8 8 9 8 8 9 9 9 9 10 10 10 10 9 8 8 7 8 9 9 10 10 10 12 12 11 10 11 13 14 14 13 12 nan
nan 9 9 9 9 9 8 7 9 10 10 10 10 9 9 9 8 9 10 10 9 8 8 9 11 11 10 10 9 9 9 9 9 8 9 8 8 11 11 10 9 9 9 8 8 8 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 10 10 9 11 13 14 13 12 12 13 13 11 9 nan
nan 10 11 10 10 9 8 7 8 10 10 11 10 10 10 9 8 8 9 9 8 8 8 9 11 11 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 8 8 8 10 11 10 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 13 13 12 10 8 8 8 7 6 nan
nan 9 12 12 12 11 11 10 9 9 10 9 10 10 10 10 9 8 8 8 8 8 9 9 10 9 9 9 11 11 10 9 9 9 9 8 8 9 9 9 9 10 10 9 7 7 10 11 10 9 9 10 11 11 11 11 10 10 9 9 10 11 11 10 9 9 9 9 11 12 13 12 10 8 7 7 7 6 5 4 nan
nan 9 10 11 13 13 13 12 11 10 10 9 9 9 9 10 10 9 7 7 7 8 9 9 9 8 8 9 11 12 11 10 10 10 9 9 8 8 8 9 8 8 9 9 8 7 8 10 10 9 10 11 13 14 15 14 12 11 9 9 9 11 11 11 11 11 11 12 14 14 13 11 9 6 6 6 6 6 5 5 nan
nan 9 9 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 8 7 7 8 9 9 9 9 8 9 10 12 13 12 11 10 10 10 9 8 9 9 9 8 8 8 8 7 7 8 9 9 11 13 15 17 19 17 14 11 11 10 9 10 11 11 12 13 14 15 15 13 11 8 6 5 6 6 6 6 6 6 nan
nan 10 9 9 10 11 10 10 10 11 10 10 10 10 10 10 9 10 9 8 7 7 9 9 8 8 9 8 8 10 12 11 11 9 9 9 9 9 10 9 9 8 8 7 6 6 7 7 8 10 14 16 15 16 16 15 12 11 12 12 11 10 11 11 13 13 14 14 12 9 7 7 5 5 5 6 7 8 9 8 nan
nan 10 9 9 9 11 10 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 9 8 8 8 9 11 11 9 8 8 8 9 11 10 9 9 8 6 5 5 6 6 7 10 16 18 15 13 12 10 10 12 14 13 11 10 11 12 12 12 13 12 9 7 5 5 6 5 5 5 7 8 10 10 nan
nan 9 9 9 10 10 9 8 8 9 9 9 10 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 10 10 9 11 10 10 8 7 7 8 11 12 10 10 8 7 5 4 5 5 7 11 17 18 14 12 10 9 10 12 14 13 10 9 11 11 11 10 10 9 8 7 6 6 7 7 6 6 8 9 11 12 nan
nan 8 9 9 10 10 9 8 8 9 9 9 10 11 11 10 10 10 10 10 10 9 8 8 8 9 9 8 9 10 11 11 11 10 9 8 7 7 8 11 11 10 8 7 6 4 5 6 9 13 17 16 14 12 11 10 11 12 13 14 12 9 9 9 9 8 7 7 7 7 8 9 10 10 10 10 12 13 14 15 nan
nan 9 9 9 9 9 8 8 9 9 8 8 9 10 11 10 10 10 11 11 10 9 9 9 9 8 8 8 9 10 11 11 11 10 10 9 8 8 7 9 11 10 9 7 6 6 6 6 9 14 17 15 14 12 12 13 12 12 12 14 13 10 8 7 8 7 6 6 6 8 9 10 11 12 13 13 14 15 15 16 nan
nan 10 10 10 9 8 8 9 10 10 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 8 9 10 10 9 8 6 5 6 7 8 15 19 16 13 12 14 15 13 11 10 11 11 8 6 7 8 7 7 7 7 8 10 11 11 11 12 12 12 12 13 14 nan
nan 10 10 10 9 8 9 9 9 10 10 9 9 9 10 10 9 9 8 8 8 8 9 8 9 9 9 11 11 10 10 9 9 9 10 10 9 9 9 10 10 10 8 8 7 7 7 7 9 16 19 16 14 14 16 16 13 10 9 8 5 2 2 5 9 8 7 8 10 11 11 10 9 9 10 11 10 9 9 11 nan
nan 9 10 10 9 9 9 9 9 10 10 10 9 10 10 9 9 9 8 7 7 7 8 8 9 10 11 12 11 9 9 8 8 9 10 10 9 9 9 9 10 9 8 8 7 8 8 8 10 15 16 16 15 16 17 16 13 11 9 6 1 -1 1 5 9 9 8 9 11 13 12 10 8 8 9 10 9 8 7 8 nan
nan 9 9 10 10 9 9 9 10 10 11 10 9 9 9 9 9 8 7 7 8 7 7 8 10 11 10 10 10 9 8 8 8 8 9 9 10 9 9 9 9 9 8 8 8 8 9 8 11 16 17 17 17 18 17 15 13 11 10 7 1 -0 2 6 9 10 10 11 12 12 12 11 9 8 9 9 8 8 7 6 nan
nan 10 10 9 9 8 8 9 11 11 11 10 9 9 9 9 8 7 7 8 9 7 7 8 10 11 10 8 8 9 8 8 8 9 9 9 10 10 8 8 9 9 9 9 8 8 8 10 14 19 20 18 17 18 16 13 12 12 11 7 1 -0 1 5 8 10 11 12 11 12 11 9 10 10 9 8 8 7 7 5 nan
nan 10 9 9 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 9 9 7 5 8 11 12 11 9 9 8 8 9 10 10 9 9 9 10 10 9 9 9 9 9 8 7 7 9 16 21 21 17 15 15 14 12 12 12 11 8 3 1 2 6 7 7 8 10 10 10 9 8 9 9 9 8 8 7 6 4 nan
nan 10 9 9 9 9 10 11 11 11 12 11 10 9 9 8 8 9 9 9 8 6 5 7 11 11 10 10 10 10 9 9 10 12 11 9 9 10 10 10 10 10 8 7 7 6 6 8 17 22 19 15 14 14 13 12 12 13 12 9 4 2 5 9 9 7 6 7 7 7 7 8 8 8 7 8 8 9 8 6 nan
nan 10 10 9 9 9 10 11 11 12 12 11 10 9 8 8 8 9 9 9 9 7 6 8 11 10 9 9 10 10 10 9 9 11 13 12 10 10 10 9 9 10 9 8 7 7 6 9 15 18 16 14 14 13 13 12 13 14 12 6 1 1 7 12 10 8 8 7 6 6 6 7 9 9 6 5 8 10 10 11 nan
nan 11 10 9 9 9 9 10 10 11 11 11 9 8 8 8 8 8 8 8 9 8 9 11 11 10 9 9 9 9 10 8 7 9 11 13 14 12 10 9 9 9 9 8 8 7 8 10 11 13 14 14 13 13 13 14 16 15 10 2 -0 3 9 10 9 9 9 9 8 7 6 6 9 10 9 7 8 10 13 16 nan
nan 11 10 9 9 9 9 8 8 10 11 10 8 8 8 8 8 7 8 8 8 8 10 13 12 9 9 10 10 9 8 8 7 8 9 10 13 14 12 10 10 8 8 9 8 8 8 9 10 13 15 14 12 13 14 16 18 15 7 1 -0 4 8 9 8 8 9 11 11 9 7 7 8 9 11 12 12 13 15 17 nan
nan 10 9 9 9 8 8 8 8 9 10 9 8 7 8 9 9 8 8 9 8 8 11 12 12 10 9 10 11 10 8 8 8 9 10 10 10 13 13 12 10 8 7 8 9 9 9 10 11 14 15 14 13 14 16 19 17 9 1 -2 -1 4 8 8 8 9 9 10 10 9 8 8 8 8 9 13 17 17 17 18 nan
nan 9 9 9 9 7 7 7 8 9 9 7 7 7 7 8 9 9 9 9 8 9 12 15 14 11 10 10 11 9 9 10 9 10 11 10 10 11 12 13 11 9 8 9 9 9 9 9 11 14 16 14 14 16 18 18 14 4 -4 -4 1 5 7 8 9 11 11 9 9 9 9 10 11 11 12 13 17 19 19 20 nan
nan 11 10 10 9 7 7 8 8 9 8 7 7 8 8 8 8 8 7 8 8 9 11 13 14 13 13 13 11 10 11 11 12 11 12 11 10 10 11 12 12 12 10 10 12 11 9 9 10 13 16 16 16 17 19 18 11 3 -3 -4 2 7 7 8 10 12 12 10 8 8 9 10 13 15 16 16 16 18 18 17 nan
nan 12 11 10 9 7 7 9 9 9 8 7 9 10 10 9 9 7 7 9 10 9 9 10 11 11 12 14 13 11 11 12 12 12 12 11 10 10 10 11 12 13 11 11 12 11 9 9 9 12 16 19 19 18 18 16 9 3 -1 -2 1 6 7 8 10 12 12 10 8 7 8 11 14 16 16 15 15 16 16 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 6 8 10 10 10 11 13 16 21 28 34 39 43 46 48 50 53 54 55 56 60 64 66 65 62 60 58 56 53 60 68 78 89 100 113 125 134 139 139 137 131 122 116 113 110 106 102 98 94 91 85 76 67 56 47 40 35 30 24 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 3 4 6 8 10 11 13 16 21 27 32 36 40 43 45 45 48 49 49 50 54 58 60 59 58 56 54 53 53 59 65 72 80 90 102 118 130 136 137 134 126 115 108 104 101 99 96 94 91 88 82 74 65 56 46 40 34 29 22 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 3 5 7 9 10 10 12 15 21 25 30 35 40 43 42 44 44 44 46 49 52 55 56 55 54 53 51 53 57 62 68 76 83 93 107 120 130 134 131 122 111 103 97 94 92 91 90 88 84 79 72 64 56 47 41 35 29 20 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 4 5 5 4 3 5 10 14 21 27 34 38 39 40 40 41 43 45 48 52 54 55 54 52 50 51 55 60 66 73 80 88 99 111 122 128 128 120 109 99 90 85 85 86 86 84 81 76 70 63 57 48 42 36 29 20 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 1 0 0 0 0 0 0 2 4 8 14 21 28 33 36 36 37 38 40 42 47 52 54 54 52 50 49 50 54 58 64 70 77 84 93 105 116 123 125 119 108 95 84 78 76 78 80 79 76 73 68 63 58 51 44 37 29 19 11 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 1 2 6 10 16 23 28 31 32 33 35 37 41 45 48 48 47 47 48 49 48 52 58 63 68 74 81 89 100 110 118 121 117 106 92 80 71 68 69 72 73 72 69 66 62 57 51 44 37 28 19 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 0 0 0 0 0 0 0 1 4 8 13 19 22 25 27 29 30 33 36 38 40 40 40 43 46 49 48 52 57 62 67 71 78 86 95 105 113 117 114 105 92 78 66 59 60 63 65 65 62 61 60 55 51 46 38 28 17 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 1 4 7 10 14 17 19 22 24 25 27 29 31 33 36 38 41 44 47 48 50 54 59 63 68 74 81 90 100 108 112 110 103 91 76 62 53 53 56 57 55 53 51 52 49 46 43 38 27 15 7 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 2 4 6 8 9 11 14 17 19 21 21 23 27 31 33 34 36 39 41 42 44 47 51 56 61 67 74 83 92 100 103 102 98 88 74 58 50 49 50 50 47 43 40 41 41 38 36 34 27 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 1 3 5 6 6 6 7 9 13 16 17 19 21 25 27 28 29 31 33 34 35 38 40 43 47 52 59 66 73 81 88 89 90 89 82 70 57 49 46 45 44 41 36 31 32 33 32 30 28 26 18 9 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 4 6 6 6 5 5 8 11 14 16 17 20 22 23 24 26 29 28 28 30 33 36 37 40 45 50 56 63 69 74 76 78 77 72 64 54 47 44 42 40 36 30 26 26 27 27 25 22 21 18 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 2 4 6 6 6 5 5 7 10 13 14 16 18 19 21 23 25 24 24 25 26 28 29 30 32 36 41 46 52 57 61 64 66 65 61 54 46 41 40 39 36 31 24 22 22 24 24 23 20 18 14 10 6 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 2 3 5 6 5 5 5 7 10 12 13 15 17 19 21 22 22 19 22 23 22 22 21 21 23 27 32 37 42 47 51 52 52 51 48 43 36 33 34 34 31 25 19 17 19 21 22 21 20 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 1 3 4 5 5 4 5 7 9 11 12 14 17 20 21 19 17 16 19 20 18 16 14 14 16 19 24 28 33 38 42 42 40 37 34 30 27 27 28 28 24 19 15 14 15 18 19 19 18 14 10 6 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 1 2 4 4 4 4 5 6 7 9 10 13 16 18 18 16 14 14 16 16 14 12 11 9 10 12 15 20 24 29 32 32 29 24 20 16 16 17 19 19 17 13 11 12 13 15 17 17 15 12 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 1 2 3 4 4 4 4 5 6 7 9 12 14 15 14 13 12 12 12 12 11 9 8 6 6 6 8 12 17 22 24 22 18 13 9 7 7 8 9 9 8 6 7 9 11 12 13 13 12 10 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 1 1 2 2 3 3 3 3 4 5 6 7 9 11 12 11 10 9 9 9 8 7 6 5 4 4 3 4 6 10 15 16 14 10 6 4 3 3 4 4 4 3 2 4 6 8 10 9 9 9 8 8 6 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 1 1 1 2 3 2 2 2 2 4 4 5 6 8 8 8 7 6 6 5 4 4 4 4 3 2 2 2 3 6 8 9 8 6 4 2 1 1 1 1 1 0 0 1 3 4 6 6 6 6 7 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 1 1 1 0 0 1 2 3 3 4 4 5 5 5 5 4 2 2 1 2 2 2 2 2 2 2 3 4 5 5 4 3 1 0 0 0 0 0 0 0 0 1 1 2 2 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 3 2 1 0 0 0 1 1 2 2 2 2 2 3 3 3 2 1 0 0 0 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 1 1 0 0 0 0 0 0 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 1 2 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 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 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 0 0 0 0 0 0 0 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 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 2 3 4 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 1 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 3 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 1 2 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 1 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 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 2 3 4 4 4 3 3
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