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