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 6 5 6 8 10 10 8 7 7 8 9 11 12 11 8 9 10 8 8 9 8 9 10 9 8 7 8 12 14 13 12 11 10 8 8 8 7 7 8 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 6 5 6 8 11 8 6 10 11 11 9 8 7 6 7 10 10 9 8 8 8 8 8 nan
nan 5 6 6 6 7 8 9 9 7 7 7 7 7 10 12 10 10 10 9 8 10 9 9 9 9 7 7 9 12 14 12 10 10 9 8 7 7 6 6 7 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 8 7 6 8 10 11 11 9 6 5 7 11 12 10 8 8 8 8 9 nan
nan 5 6 6 6 7 7 8 9 9 9 7 6 6 8 11 11 9 9 10 10 10 9 9 9 9 7 7 9 12 12 11 9 9 8 8 8 7 6 6 6 7 9 9 9 8 8 7 7 8 8 8 8 8 8 8 7 7 8 9 9 7 5 5 7 9 10 11 11 8 7 9 11 12 9 7 7 8 9 10 nan
nan 6 6 6 6 7 8 8 9 11 10 8 6 6 7 9 10 9 9 10 10 10 10 9 9 9 8 8 9 9 10 11 10 9 8 8 8 7 6 6 6 8 9 9 8 8 8 7 7 7 8 8 8 8 8 7 6 6 8 11 10 8 6 6 7 8 6 8 10 9 9 11 11 10 8 7 8 10 10 9 nan
nan 7 6 6 6 7 7 8 9 12 11 9 7 8 9 9 8 7 8 9 10 11 10 9 9 8 8 8 9 8 8 11 12 12 9 8 8 7 6 6 7 8 9 9 9 9 9 7 6 7 8 8 9 8 8 7 5 4 7 10 10 8 9 9 9 8 5 4 8 8 9 10 12 11 7 6 8 10 10 9 nan
nan 6 6 6 7 7 8 7 9 11 11 9 8 9 10 9 8 6 7 8 11 12 11 8 8 8 7 7 9 9 8 10 12 13 11 9 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 9 9 9 9 7 4 3 6 9 7 7 10 12 12 9 6 5 6 6 6 8 12 12 7 5 7 10 11 10 nan
nan 7 6 6 7 8 7 6 8 10 10 9 9 10 11 10 8 7 7 9 11 11 10 8 8 7 7 7 9 9 9 9 10 11 11 10 8 6 7 8 8 8 7 8 9 8 7 7 7 7 7 8 9 8 8 8 6 5 5 7 6 6 9 11 11 9 8 7 6 5 4 5 11 12 8 6 9 11 11 9 nan
nan 9 8 7 7 8 8 6 6 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 7 6 7 9 9 9 9 9 9 10 10 10 8 7 7 8 8 7 8 9 8 7 7 7 7 7 8 9 8 8 8 7 6 5 5 6 8 8 8 9 9 9 8 7 6 3 3 10 12 9 9 11 11 10 8 nan
nan 9 9 8 8 7 7 6 6 8 10 10 9 9 9 10 10 10 10 8 8 8 9 9 9 8 7 9 9 8 8 9 8 8 9 10 10 10 9 7 8 8 8 8 8 8 8 7 7 6 7 8 8 8 9 8 7 7 6 5 6 8 8 9 10 9 8 8 7 7 4 4 8 10 9 10 11 11 10 8 nan
nan 7 8 8 7 7 6 6 6 7 9 10 10 9 10 10 10 10 10 9 8 8 8 8 8 8 8 10 10 9 9 8 7 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 7 9 9 9 8 7 7 7 8 9 8 9 10 11 10 8 7 6 6 7 7 7 8 10 12 12 11 11 9 nan
nan 6 7 8 7 6 4 5 6 6 7 10 10 10 10 10 10 10 11 11 9 7 7 7 9 11 7 8 11 10 9 8 7 7 7 8 9 9 10 9 8 8 9 9 9 8 7 7 7 6 6 6 8 9 7 7 7 7 7 9 10 10 9 9 10 10 8 7 4 4 9 12 9 6 7 11 14 13 12 12 nan
nan 8 8 9 9 7 5 6 6 4 6 8 10 10 11 11 10 10 10 10 9 8 9 10 11 10 7 8 11 10 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 6 6 6 8 9 7 6 7 8 7 8 9 10 10 9 9 10 9 7 4 2 8 13 11 6 4 7 11 14 14 14 nan
nan 10 10 10 10 9 8 7 6 4 5 7 9 10 11 11 10 9 9 9 7 8 11 13 11 8 7 8 10 10 9 8 8 8 8 8 8 8 9 10 9 8 9 10 10 9 8 8 7 6 5 6 7 8 7 7 8 8 7 7 7 9 11 10 10 9 8 8 4 3 7 12 11 6 4 4 7 11 14 16 nan
nan 11 10 10 10 10 10 8 6 4 4 7 9 9 10 11 10 9 9 8 8 9 11 11 9 7 7 9 10 10 9 8 8 8 8 8 8 9 10 9 9 9 9 10 9 8 8 8 8 6 5 6 7 7 8 8 8 8 7 6 6 7 11 12 11 9 8 8 5 4 6 8 10 8 6 4 4 8 12 15 nan
nan 10 11 10 10 11 11 9 6 4 3 4 7 9 10 10 10 9 9 8 9 11 10 9 7 7 7 8 9 10 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 7 8 7 6 5 6 8 8 8 8 8 7 6 6 6 10 12 11 10 9 8 7 6 6 6 8 9 9 5 4 6 8 10 nan
nan 9 9 9 11 10 10 9 7 5 3 3 5 7 9 10 10 10 9 9 10 11 10 9 7 7 8 7 7 9 10 10 8 8 9 10 10 10 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 9 8 7 8 8 8 7 6 6 7 10 11 10 10 9 9 9 8 7 8 9 10 7 6 7 7 7 nan
nan 8 7 8 10 10 10 9 7 6 4 4 4 5 8 10 10 10 9 8 9 11 10 8 6 7 9 9 7 7 9 10 9 9 10 10 11 10 10 9 9 9 10 10 9 8 8 8 7 7 8 8 8 9 9 8 7 8 8 7 7 6 6 8 9 10 10 10 10 10 10 9 8 9 9 8 8 8 7 7 nan
nan 7 8 9 10 10 10 10 8 6 6 7 6 5 6 9 11 11 9 9 10 11 9 7 6 7 9 9 8 7 7 9 10 10 10 10 11 10 10 9 9 9 9 10 9 9 8 8 6 7 8 8 8 8 9 9 8 8 8 8 7 6 6 7 8 9 9 9 10 10 10 9 9 9 8 8 8 9 8 8 nan
nan 6 8 10 10 10 10 10 8 7 7 8 8 6 6 9 9 9 9 9 10 11 10 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 9 10 10 9 9 9 9 8 7 7 7 7 7 7 8 9 9 10 10 10 8 7 8 8 8 7 7 8 9 10 10 9 9 8 8 9 9 9 8 8 nan
nan 6 7 9 10 10 10 9 9 8 8 9 8 7 8 9 8 8 9 10 10 11 11 10 9 7 6 6 8 10 11 9 7 7 7 10 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 7 8 10 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 8 8 nan
nan 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 10 10 10 10 12 12 8 6 6 8 10 11 10 8 6 5 8 11 11 10 10 11 11 12 12 11 10 9 8 9 9 9 9 8 8 7 8 7 8 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 nan
nan 8 9 8 9 9 8 7 7 7 8 8 8 9 9 10 9 9 9 10 10 9 9 11 13 11 8 7 7 8 9 11 10 8 6 7 12 12 10 11 12 12 12 12 11 11 9 9 10 10 9 9 8 9 9 9 9 8 9 9 8 8 9 10 11 9 9 9 9 9 9 9 8 8 8 7 8 9 10 10 nan
nan 8 9 9 8 8 8 7 6 7 7 7 7 8 10 10 10 9 9 9 10 10 9 10 12 13 11 10 9 7 7 8 9 10 8 7 12 15 12 11 11 12 12 12 11 10 10 9 10 9 9 8 8 8 9 10 9 10 10 9 8 8 7 8 9 9 9 9 9 9 9 10 10 9 8 8 8 8 9 10 nan
nan 9 9 8 8 9 9 8 8 8 7 7 7 9 11 11 10 9 9 9 10 10 9 9 11 12 13 12 10 8 6 7 8 9 9 8 12 16 14 12 11 12 12 12 11 10 9 9 9 9 10 9 9 9 9 9 9 9 9 10 9 8 8 6 6 8 8 8 8 9 10 10 10 10 9 9 9 8 9 9 nan
nan 8 9 9 9 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 12 12 12 11 10 9 8 7 7 7 7 8 12 16 15 13 12 12 11 10 10 10 10 9 9 8 9 9 10 10 9 9 10 9 9 8 9 9 9 8 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 8 nan
nan 8 10 10 10 10 9 9 8 8 9 9 10 10 11 10 9 9 9 9 9 8 8 10 13 12 11 10 9 9 9 9 9 7 6 8 12 15 16 15 13 12 11 10 11 11 11 10 10 9 8 8 8 9 9 9 10 11 10 9 8 8 9 9 8 8 8 7 7 7 8 9 9 10 10 11 11 10 9 9 nan
nan 8 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 9 8 9 9 8 10 11 10 9 10 10 10 10 9 9 9 7 8 11 13 13 14 14 13 12 11 11 12 13 12 11 9 7 8 8 8 8 8 8 9 10 11 9 8 9 9 8 8 8 8 7 7 8 9 9 9 10 11 11 11 10 9 nan
nan 7 9 11 12 13 13 12 10 10 9 9 7 7 8 10 11 10 9 8 8 8 8 9 9 8 8 9 11 11 11 10 10 9 9 9 9 10 10 11 12 12 12 11 11 11 13 13 11 9 9 11 14 14 12 9 7 7 8 9 10 9 8 9 8 8 7 7 8 8 8 9 9 9 10 10 12 12 10 10 nan
nan 8 9 10 11 12 12 12 12 11 10 9 7 7 8 8 10 11 10 9 8 8 8 8 8 7 8 9 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 11 10 10 11 12 11 12 15 18 19 18 16 12 9 7 6 8 9 9 9 9 9 8 8 8 8 9 9 9 8 9 10 10 10 12 12 11 nan
nan 9 9 9 10 11 11 11 11 10 9 8 8 8 9 9 10 12 11 10 9 9 9 8 8 7 8 9 9 10 11 12 11 9 9 10 10 10 11 11 10 9 9 10 9 9 10 10 12 14 20 22 19 16 14 12 8 7 8 9 9 9 9 9 9 8 9 9 10 11 10 9 9 9 9 9 9 11 12 12 nan
nan 8 8 8 9 10 11 10 9 9 9 8 8 9 9 10 11 12 12 11 10 10 10 9 8 8 9 9 9 9 10 12 11 10 9 8 8 9 11 12 12 10 9 8 8 9 9 9 11 17 25 22 15 11 11 10 8 8 8 7 8 9 10 9 9 8 9 10 11 11 10 10 9 9 8 8 9 9 9 11 nan
nan 8 8 8 9 10 10 8 8 8 8 8 8 9 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 9 11 10 10 8 7 7 8 11 12 12 11 10 9 7 8 10 10 14 22 26 20 13 10 9 9 8 7 5 4 6 8 9 10 9 9 9 11 11 11 10 10 10 10 9 8 9 9 9 9 nan
nan 8 7 8 9 9 8 7 7 9 9 8 8 9 10 10 10 10 11 12 11 11 11 12 12 11 10 8 8 11 12 12 10 9 8 7 7 8 9 11 11 12 11 10 8 8 10 12 17 23 21 16 11 10 9 9 7 6 4 2 4 7 7 8 9 9 10 11 11 10 10 10 10 10 9 8 9 9 9 9 nan
nan 8 8 9 9 8 7 7 8 9 8 7 8 9 10 10 10 10 11 10 10 11 11 12 12 11 10 8 9 11 13 12 10 9 9 9 8 8 8 9 11 11 11 12 10 9 10 12 16 21 19 14 11 9 9 8 7 6 4 3 4 5 6 7 8 9 10 11 11 11 11 10 10 9 8 8 8 8 9 9 nan
nan 9 10 10 9 8 7 7 8 9 7 6 8 9 10 10 10 10 10 9 9 10 11 11 11 10 8 10 12 12 12 10 9 10 10 10 9 9 8 9 11 11 11 11 11 10 10 12 15 21 21 15 10 9 8 7 7 6 5 5 2 1 3 6 9 10 11 11 10 10 11 11 9 9 8 8 8 8 8 8 nan
nan 10 10 11 9 8 8 7 8 8 8 7 8 9 11 11 10 9 8 8 9 10 10 10 10 9 10 13 14 13 11 9 9 10 11 10 9 9 10 11 12 11 10 10 11 10 10 12 16 21 20 14 9 8 7 7 7 7 7 5 0 -1 2 6 9 10 11 10 9 9 9 9 9 8 8 9 8 8 8 8 nan
nan 9 10 10 9 9 9 8 8 8 8 8 9 11 11 11 10 9 8 8 9 10 9 9 10 12 12 14 14 11 10 9 11 11 10 9 9 9 9 11 12 12 11 9 10 11 11 11 16 21 18 13 10 7 6 7 8 8 8 4 -1 -2 3 8 10 10 10 10 9 9 8 8 8 7 7 8 9 9 9 9 nan
nan 9 9 9 10 10 9 8 9 9 9 9 10 10 10 11 11 9 7 7 10 12 11 11 13 13 12 12 11 9 9 9 10 10 9 9 9 9 10 11 12 12 11 10 10 10 10 10 15 20 18 14 9 7 7 8 9 9 8 5 0 -0 4 10 10 9 9 9 9 9 9 8 7 7 7 8 8 8 9 10 nan
nan 8 9 9 10 9 9 9 10 10 11 10 10 10 10 10 9 8 8 9 12 13 12 13 14 14 12 10 10 9 9 9 9 9 8 8 9 9 9 12 13 13 12 11 10 9 9 10 16 21 18 14 9 8 9 10 11 10 9 5 -0 -0 4 8 10 9 9 9 9 10 10 9 8 7 8 8 8 9 10 10 nan
nan 8 8 8 9 9 9 10 11 11 11 11 11 10 9 9 8 7 9 10 12 11 10 11 14 15 14 11 9 10 10 8 9 10 9 9 9 10 10 11 12 13 13 11 10 9 9 11 18 23 19 14 10 9 11 11 10 10 9 5 0 1 4 8 9 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 nan
nan 7 7 7 7 8 9 11 11 12 12 12 11 10 9 8 8 9 10 10 10 9 8 9 12 14 13 12 13 14 13 10 10 13 13 12 12 12 12 11 12 12 11 10 9 8 8 11 20 23 20 14 11 10 10 10 10 10 9 5 0 -0 5 10 10 9 9 10 11 11 11 11 11 11 11 10 11 12 12 11 nan
nan 8 6 6 6 8 10 11 12 12 12 12 11 10 9 9 8 9 10 10 9 7 7 9 12 13 11 10 13 15 14 10 8 11 13 14 14 13 12 12 11 10 8 7 8 8 8 12 20 23 20 16 12 10 9 8 9 9 6 1 -2 -1 6 10 10 10 11 12 13 13 12 12 12 12 12 12 12 12 12 12 nan
nan 9 7 6 6 7 9 11 12 12 12 11 10 10 10 9 8 8 9 10 10 9 10 12 11 11 11 10 10 11 11 8 7 8 11 12 14 13 12 11 10 9 7 7 7 7 9 13 18 21 20 17 13 10 9 8 8 7 2 -3 -2 3 8 9 9 10 12 14 14 14 13 12 13 14 13 12 11 10 11 12 nan
nan 9 8 7 6 7 9 11 11 12 12 11 10 10 11 10 9 8 8 7 7 9 13 15 12 9 10 12 11 9 8 5 5 7 10 12 14 15 12 10 9 7 7 8 9 9 9 12 16 20 21 18 13 10 9 10 9 7 0 -4 -2 4 8 9 9 11 12 14 14 13 12 13 14 14 13 11 11 11 10 11 nan
nan 9 9 8 7 8 9 11 11 13 12 10 10 10 10 11 11 10 8 8 7 9 13 15 12 9 9 10 10 9 8 6 6 9 10 12 13 13 12 11 10 8 8 9 10 10 10 11 15 19 20 17 12 11 10 10 9 5 -2 -4 -1 4 8 9 10 10 10 12 13 12 12 12 13 13 12 12 11 10 11 12 nan
nan 10 10 10 10 9 9 11 11 11 10 9 9 9 9 11 12 11 10 10 8 10 14 15 12 9 8 9 9 8 8 9 11 12 12 11 12 12 12 12 10 9 9 11 13 13 11 11 14 20 20 15 12 11 11 10 9 3 -2 -4 2 8 9 9 10 10 9 10 11 11 10 10 11 11 10 10 10 10 12 15 nan
nan 11 12 12 12 10 10 10 10 9 9 10 9 9 9 10 10 10 10 9 8 9 13 14 14 11 9 9 10 9 9 11 12 13 12 11 11 11 12 12 11 9 9 11 15 15 14 12 14 20 22 17 13 11 10 10 9 5 -1 -3 2 10 10 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 11 15 nan
nan 13 13 13 12 10 10 10 9 9 9 10 10 11 10 9 9 7 7 8 9 10 11 11 12 12 12 12 12 12 12 13 12 13 13 11 10 11 12 12 12 10 10 11 11 12 14 13 14 18 21 19 14 11 10 10 9 7 2 -3 -0 7 9 9 10 11 11 10 10 9 9 10 10 9 9 10 10 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
CAPE
80 81 86 88 82 73 62 51 41 34 30 30 38 49 57 62 61 54 43 35 36 49 64 67 61 55 53 54 55 55 60 67 72 75 72 64 52 42 32 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
77 75 75 76 71 64 56 50 44 38 30 24 26 36 49 55 53 47 34 25 27 41 56 57 51 46 46 46 43 40 47 52 56 56 53 46 36 26 17 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
67 66 67 65 61 56 52 49 46 37 28 18 16 24 40 49 47 40 27 18 20 32 43 44 41 38 37 36 29 24 27 33 37 38 34 28 20 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
52 55 56 54 51 48 45 43 40 32 23 14 10 14 26 37 38 32 21 14 15 24 32 34 32 30 28 24 16 10 9 14 19 22 19 14 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
32 37 38 39 39 38 37 36 34 28 21 14 8 7 14 24 27 22 15 11 12 18 25 26 24 21 18 14 7 3 1 3 5 8 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
13 18 21 26 30 32 33 33 32 27 21 14 9 6 6 11 14 12 8 8 10 15 19 18 16 13 10 6 2 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
3 6 10 16 23 28 31 31 30 26 20 14 10 6 4 4 5 4 3 4 7 11 12 11 9 7 5 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 1 4 10 18 25 29 30 28 24 20 16 11 7 4 3 2 1 0 1 3 6 7 6 6 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 0 0 0 0 0 0
0 0 1 5 12 20 26 28 26 23 20 16 12 7 4 3 1 0 0 0 0 2 3 4 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 2 7 14 20 24 23 20 16 13 9 5 3 2 1 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 0 0 0 0
0 0 0 2 4 9 14 18 18 16 12 9 6 3 2 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 1 2 5 8 12 14 12 9 7 4 2 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 1 1 2 4 7 7 7 6 5 4 2 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 2 2 2 2 3 3 3 3 3 3 2 2 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 2 2 2 1 1 0 0 1 1 1 2 2 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 1 1 1 0 0 0 0 0 0 0 1 2 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 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 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 2 3 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 2 4 5 5 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 1 1 3 5 7 8 8 8
0 0 0 0 0 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 1 2 4 5 7 8 10 10 10
0 0 0 0 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 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 3 5 7 8 8 9 9 11
0 0 0 0 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 4 5 5 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 2 6 8 8 8 7 8 10
0 0 0 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 7 8 9 8 5 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 2 5 8 8 8 6 7 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 1 2 6 8 10 12 12 10 7 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 1 3 6 8 8 7 6 6 8
0 0 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 11 13 14 13 11 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 2 4 6 7 7 6 6 6 7
0 0 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 9 12 13 14 13 11 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 0 0 0 0 0 0 1 1 2 4 6 7 7 7 7 8 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 2 7 10 12 13 13 13 10 8 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 1 1 1 2 3 4 5 7 8 8 9 10 12
0 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 8 10 12 13 15 15 12 9 7 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 1 1 2 2 3 4 6 8 10 11 12 16
0 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 12 16 19 18 14 12 10 8 7 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 1 2 3 6 8 10 11 13 17
0 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 9 14 18 21 19 17 14 11 9 8 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 1 2 5 7 9 10 13 16
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 6 10 16 22 24 21 19 15 12 11 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 1 2 2 2 2 2 4 5 6 8 11 16
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 9 11 16 23 27 28 24 20 17 15 15 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 1 3 6 7 7 6 4 2 2 2 3 6 10 20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 13 17 20 25 29 32 30 25 20 18 18 18 15 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 3 4 4 4 5 8 11 12 10 7 4 2 1 1 2 5 15 27
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 18 21 25 29 31 31 27 22 19 18 18 15 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 1 2 4 7 10 14 15 13 10 8 5 4 3 3 6 12 23 34
0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 2 5 10 14 17 20 25 28 29 26 21 18 18 19 17 9 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 1 3 8 13 15 14 12 10 11 10 9 9 10 12 16 25 38
0 0 0 0 0 0 0 0 0 2 3 4 3 3 2 0 0 1 2 2 3 3 5 8 11 14 18 23 25 25 21 19 20 23 24 16 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 1 4 10 14 14 12 12 14 16 18 19 19 18 17 18 26 36
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