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 7 6 7 8 9 10 10 10 9 9 10 12 12 10 7 7 9 8 9 9 6 6 8 8 8 8 8 10 10 9 9 9 11 11 10 9 8 7 8 9 9 9 9 8 7 7 7 7 7 7 8 8 7 8 7 6 6 7 9 10 9 9 9 10 10 10 9 8 8 8 10 10 10 9 9 9 8 7 nan
nan 5 6 6 6 7 7 8 10 10 9 9 8 10 12 11 8 8 9 8 9 10 8 6 7 8 8 8 9 10 11 8 7 8 10 11 11 9 8 8 8 9 10 10 10 8 8 7 7 8 7 7 8 8 8 8 7 7 6 7 7 7 8 8 8 8 9 10 9 8 7 8 10 10 9 9 9 8 8 8 nan
nan 5 6 6 6 6 6 7 10 11 10 9 7 8 10 11 10 8 8 8 9 10 9 8 8 8 8 8 9 10 10 9 7 7 9 10 11 10 9 8 8 9 10 10 9 8 8 7 7 7 7 8 8 9 9 8 7 7 8 8 8 8 7 7 7 9 8 9 9 8 7 8 9 9 8 8 9 9 9 7 nan
nan 6 6 6 6 6 6 7 9 12 11 9 7 7 9 11 10 9 8 8 9 10 9 9 8 8 8 9 10 9 9 9 8 7 8 9 10 9 9 8 8 9 10 10 9 8 9 8 7 7 7 7 8 9 9 8 7 7 9 10 9 7 6 6 8 9 8 8 9 9 8 9 10 9 7 8 9 9 9 8 nan
nan 7 7 6 5 5 6 7 9 11 12 9 7 7 9 10 9 8 8 8 8 9 9 9 9 8 8 9 10 10 9 10 10 9 8 7 8 9 8 8 7 9 9 9 9 9 9 8 7 7 7 7 8 8 9 8 7 7 9 10 8 7 8 8 9 9 9 7 8 8 8 10 11 10 8 7 8 9 10 9 nan
nan 7 7 7 6 5 5 7 9 12 11 9 7 8 9 10 9 7 8 8 9 10 9 9 9 8 7 8 10 10 10 10 11 10 9 8 7 8 8 8 8 8 8 8 9 10 9 8 7 7 7 7 7 7 8 8 7 7 9 10 8 7 10 11 10 9 9 7 7 7 7 8 11 12 9 7 8 10 11 10 nan
nan 7 6 7 6 6 6 6 8 11 11 9 8 9 9 10 8 7 7 8 9 9 8 8 9 8 7 8 9 10 10 11 11 10 9 8 7 7 8 8 10 8 8 8 9 9 8 8 8 7 6 7 7 7 7 7 7 7 8 9 8 9 10 11 10 9 9 9 7 6 6 7 11 11 9 8 10 12 12 10 nan
nan 8 7 7 7 7 6 6 8 10 10 10 9 9 9 9 8 8 8 7 8 9 9 9 9 8 7 8 10 10 10 10 11 10 10 9 9 7 7 8 10 9 8 9 9 9 8 8 8 7 7 8 7 7 7 7 7 8 7 7 8 10 11 10 11 10 9 9 9 7 4 5 9 10 9 9 11 12 12 11 nan
nan 9 8 8 7 7 6 7 8 9 10 10 9 9 9 9 8 9 9 8 7 7 9 9 9 8 8 10 10 9 9 10 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 7 8 7 6 8 9 10 11 12 11 9 9 8 8 6 6 8 9 9 9 10 12 12 11 nan
nan 7 7 7 6 6 6 6 7 8 9 9 9 9 8 9 9 10 10 9 7 7 7 7 8 9 8 11 11 9 9 8 9 10 11 11 10 9 8 8 9 10 10 9 8 8 9 9 8 7 7 8 9 8 8 7 7 7 6 7 8 9 9 11 12 11 9 7 6 7 8 8 7 8 9 9 9 11 11 11 nan
nan 6 6 7 6 4 4 6 7 7 8 9 10 9 8 9 10 10 11 11 9 8 6 7 9 10 8 10 12 9 8 7 8 10 11 10 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 9 10 9 8 9 8 6 7 9 9 8 8 9 9 8 6 5 6 9 10 8 7 7 9 9 10 11 11 nan
nan 8 8 8 7 5 4 6 7 6 7 9 9 8 8 9 10 10 10 10 9 8 9 10 10 10 9 10 12 10 8 7 8 10 11 11 10 9 8 8 8 8 9 9 9 9 8 8 8 7 8 8 8 10 8 8 9 10 8 8 8 8 8 8 7 8 7 6 5 6 9 10 9 7 7 8 9 10 11 12 nan
nan 10 10 9 9 8 7 7 7 6 7 9 9 8 8 9 9 10 10 9 8 8 10 10 9 8 8 10 12 10 9 8 9 11 11 11 10 10 9 8 8 7 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 8 8 8 9 9 8 7 6 6 5 5 9 10 9 8 7 7 8 9 11 12 nan
nan 11 11 10 10 9 9 8 6 6 6 8 9 9 8 9 9 9 9 9 9 9 9 8 7 6 8 11 12 11 9 8 9 10 12 11 11 10 9 9 9 9 9 9 8 8 8 9 9 9 8 9 10 10 9 9 10 11 10 8 7 7 9 11 11 9 7 6 5 5 7 9 10 9 8 7 7 9 10 11 nan
nan 11 12 11 11 10 10 8 6 5 5 6 8 9 9 9 8 8 9 9 10 11 10 8 6 6 7 9 11 12 11 9 8 10 12 12 11 10 10 10 10 11 10 9 8 8 8 8 9 9 8 9 10 11 10 9 10 11 10 9 7 6 8 12 12 11 9 7 7 5 6 7 9 10 9 7 7 8 9 8 nan
nan 10 10 10 11 11 10 9 7 5 5 6 7 8 9 9 8 8 8 8 10 12 11 8 6 6 7 8 9 10 12 11 9 11 12 12 12 10 10 10 10 11 11 10 8 8 8 8 7 7 8 8 10 11 11 10 10 10 10 9 8 7 8 11 12 11 10 9 9 8 7 7 7 9 9 8 8 8 8 7 nan
nan 9 8 9 10 11 11 9 7 5 5 6 6 7 9 9 9 8 8 8 10 12 11 9 7 7 8 9 8 8 10 12 12 12 12 12 11 11 10 10 10 10 10 11 10 9 8 8 7 6 6 7 9 10 11 10 9 9 9 9 9 8 8 10 10 10 10 10 11 10 9 8 7 8 8 8 8 8 7 8 nan
nan 7 7 9 10 10 11 11 8 5 5 8 9 7 8 9 9 9 8 8 9 11 11 9 8 8 8 8 9 8 9 11 12 13 13 12 11 11 10 9 8 8 9 11 12 11 9 7 6 6 6 7 8 9 10 10 10 10 10 10 9 8 8 9 9 9 9 10 11 11 10 8 7 7 8 8 8 8 8 8 nan
nan 6 6 9 10 10 11 11 9 6 5 8 9 8 8 9 9 8 7 8 9 11 11 9 8 8 8 7 8 9 10 11 11 12 13 13 12 10 9 8 8 8 8 9 10 10 8 7 6 7 8 9 8 9 9 9 10 11 10 10 9 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 nan
nan 7 6 7 9 10 10 10 10 8 7 8 9 9 9 10 9 8 8 8 9 11 11 10 10 8 6 7 9 10 11 10 9 10 10 12 13 11 10 8 8 8 9 10 9 8 7 6 7 9 9 10 9 9 9 8 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 nan
nan 8 8 7 8 9 9 9 8 8 9 9 9 10 10 10 9 9 8 8 8 9 10 12 12 8 6 7 9 11 11 10 8 7 7 9 13 11 10 10 10 9 10 10 9 8 6 6 9 10 11 10 10 9 9 8 8 8 9 9 8 9 9 9 10 9 10 10 10 10 11 11 11 11 10 9 8 9 9 9 nan
nan 9 9 8 8 8 8 7 7 7 8 8 9 10 11 11 10 9 8 8 9 8 8 11 13 11 9 9 9 10 11 9 7 5 4 7 11 11 9 8 9 10 11 10 9 9 9 10 12 11 10 10 9 9 9 9 8 8 8 9 8 8 8 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 11 11 nan
nan 9 9 8 8 8 9 8 6 6 6 7 8 10 12 12 11 10 9 9 9 9 8 9 12 12 11 11 10 9 9 8 7 5 4 5 11 14 10 8 8 11 13 12 11 11 12 12 12 11 10 10 9 9 9 9 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 10 9 8 8 9 10 9 8 8 7 7 8 10 12 12 12 11 10 10 10 10 9 9 11 12 12 12 11 10 8 8 6 5 5 6 12 17 14 11 11 13 14 13 12 12 12 11 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 9 9 10 10 9 9 10 10 10 10 10 10 11 10 10 10 10 nan
nan 9 9 9 9 9 10 9 9 9 9 9 9 10 11 11 11 11 11 11 10 9 9 11 12 12 11 11 11 11 10 8 6 4 5 8 15 19 16 12 12 12 12 11 11 11 10 10 10 10 10 10 9 10 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 10 9 9 9 9 nan
nan 9 10 10 10 10 9 9 9 9 9 10 9 10 10 11 12 11 11 10 9 9 10 11 13 13 11 10 10 11 10 9 8 8 8 10 14 16 15 13 11 10 9 9 10 10 9 9 9 9 8 8 9 9 10 10 10 9 9 9 10 9 8 9 9 9 10 10 9 9 9 10 10 9 9 9 10 9 8 8 nan
nan 9 10 11 11 11 10 9 9 9 10 9 8 9 10 11 12 11 10 9 10 10 10 11 12 12 11 11 11 11 10 10 11 11 11 11 11 12 12 11 10 10 9 9 9 9 10 10 9 8 7 8 9 9 9 9 9 8 9 10 10 9 9 8 9 9 9 9 9 9 10 10 10 9 8 9 10 10 8 8 nan
nan 8 9 10 11 12 11 10 10 10 10 9 8 8 9 11 11 11 10 9 9 9 10 10 11 10 10 10 11 12 12 11 12 13 11 10 9 9 9 9 9 9 9 9 8 8 9 9 8 8 9 11 11 12 11 9 8 7 7 8 9 9 9 9 9 10 9 9 9 9 10 10 10 9 8 8 9 9 8 7 nan
nan 9 9 9 10 10 10 10 10 11 11 10 9 8 8 10 11 10 10 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 7 8 8 8 9 13 15 14 13 11 8 6 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 8 nan
nan 10 10 9 8 8 9 10 10 10 10 9 9 9 9 10 11 11 11 10 9 10 10 10 10 10 10 10 11 12 11 11 11 10 10 10 11 10 11 10 9 8 8 8 7 7 7 7 8 11 17 17 13 10 8 5 2 2 6 8 9 9 9 9 9 9 10 11 10 10 10 10 10 10 10 9 8 8 9 9 nan
nan 11 11 9 8 9 9 8 8 9 9 9 9 9 10 10 11 12 11 10 10 9 10 10 10 10 10 9 9 9 11 11 10 10 10 9 10 10 11 11 11 9 8 7 6 7 7 7 8 13 20 19 11 7 6 5 2 0 2 4 7 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 11 12 10 10 10 9 8 8 9 9 9 9 9 10 10 10 12 12 12 11 10 8 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 11 11 10 9 8 7 6 7 6 6 10 17 22 17 11 8 7 7 6 3 -1 -1 4 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 12 12 11 nan
nan 10 12 12 12 10 8 7 8 9 9 8 9 10 10 10 12 12 12 12 12 10 9 9 8 8 7 6 6 8 10 10 10 8 9 8 8 9 10 10 10 10 9 8 7 7 7 8 13 19 19 14 10 9 9 9 9 6 2 -2 1 6 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 nan
nan 9 11 12 12 10 8 7 8 8 7 7 8 10 11 11 12 12 12 12 11 10 10 9 8 7 7 6 7 8 10 10 9 8 8 9 8 8 8 9 10 10 9 9 8 7 8 9 14 20 18 12 10 10 10 10 10 8 5 2 0 3 7 9 10 11 11 10 10 11 11 11 10 10 10 11 12 12 12 12 nan
nan 9 11 12 11 10 9 8 8 8 6 6 8 10 12 12 11 11 11 11 11 11 11 9 8 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 10 10 10 10 10 8 8 10 14 21 21 14 11 11 11 11 10 9 8 6 3 3 5 8 10 10 11 10 10 11 11 12 11 11 11 10 11 11 11 11 nan
nan 7 9 11 10 10 10 8 8 7 7 8 9 11 12 12 11 11 11 10 10 10 10 9 8 6 6 8 10 10 9 8 8 10 10 9 8 7 8 9 10 11 11 11 11 10 9 11 15 22 20 14 13 12 11 11 9 8 8 6 4 3 6 9 11 10 9 10 11 11 11 11 11 11 10 10 9 9 9 9 nan
nan 6 8 9 9 11 10 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 8 9 10 10 8 8 8 9 10 10 9 9 8 8 9 10 11 11 10 10 11 10 11 16 20 17 15 13 12 11 10 9 8 6 4 1 2 7 10 11 10 9 10 11 12 11 11 10 9 9 9 8 9 8 8 nan
nan 6 7 8 9 10 10 10 10 10 9 9 10 10 10 11 11 10 9 9 10 10 9 10 11 11 10 10 9 8 7 7 7 8 9 9 9 9 9 10 10 10 10 9 10 10 10 11 16 21 18 14 12 11 11 10 9 7 5 3 -1 -0 5 9 10 10 9 10 11 11 11 10 9 9 8 8 8 8 8 8 nan
nan 8 8 8 9 9 9 10 12 12 11 10 10 10 10 10 9 9 9 10 11 11 10 11 12 11 10 9 8 9 8 7 6 6 7 8 10 10 9 10 10 10 10 10 9 8 9 12 18 22 19 14 11 11 10 9 8 6 5 2 -2 -1 3 8 10 10 10 9 10 11 11 11 11 10 9 8 9 9 8 8 nan
nan 9 8 8 8 9 10 11 13 13 12 12 12 12 11 10 9 9 9 10 10 9 8 9 11 11 11 10 10 10 8 8 8 7 6 8 11 12 10 10 11 10 10 10 9 8 7 11 19 22 19 13 10 10 9 8 7 6 4 2 -1 -1 2 7 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 nan
nan 9 8 8 8 9 12 13 14 14 13 13 12 12 11 10 10 10 9 9 9 7 6 8 10 10 10 11 12 12 10 8 8 10 10 10 11 12 12 11 11 11 10 9 8 8 7 12 20 20 16 12 10 9 9 8 7 6 4 2 -1 -1 3 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 9 nan
nan 9 9 8 9 11 13 14 14 14 13 13 12 11 10 9 9 10 9 9 9 7 6 8 10 10 9 11 13 13 11 8 8 9 12 12 11 11 11 11 11 11 10 9 9 8 7 14 20 18 14 11 10 9 9 8 7 5 3 0 -1 0 5 8 9 9 10 11 10 8 8 7 8 8 8 8 9 10 10 10 nan
nan 10 10 10 10 12 13 14 13 12 13 12 11 10 9 9 8 8 9 8 9 8 8 10 11 10 9 11 13 13 11 9 8 9 11 11 12 12 11 10 10 10 10 9 9 8 8 14 17 16 14 12 10 9 8 7 6 4 2 -2 -1 3 7 8 9 10 11 11 10 9 8 7 8 9 9 8 8 9 9 9 nan
nan 10 11 11 11 12 12 12 12 12 11 10 9 9 9 9 8 8 8 8 8 9 11 12 10 9 9 10 10 12 12 10 10 10 11 11 13 14 12 10 10 9 9 9 8 8 9 14 18 19 17 13 10 8 8 7 6 5 1 -2 -2 3 7 9 10 10 10 11 11 9 8 9 9 8 9 10 10 9 9 9 nan
nan 12 13 13 12 11 11 11 11 11 11 9 9 8 8 8 8 8 8 8 8 10 11 11 10 9 8 9 9 9 11 12 12 11 10 11 13 14 13 11 10 9 8 9 9 9 10 13 18 22 19 14 10 9 8 7 7 3 -1 -3 -0 4 7 8 10 10 10 10 10 9 10 10 9 8 9 10 11 11 11 10 nan
nan 14 14 13 12 11 10 10 10 10 10 9 8 7 7 8 10 9 9 9 9 9 11 12 11 9 8 9 10 10 11 11 12 12 11 11 11 12 13 12 11 9 8 9 10 10 10 13 18 24 23 15 11 9 8 8 6 2 -3 -3 1 7 9 8 9 10 10 10 10 10 10 11 10 9 9 9 10 11 13 15 nan
nan 16 15 14 12 11 10 9 9 9 9 9 8 8 8 9 10 9 9 9 9 9 10 11 11 10 10 11 11 12 11 11 12 11 11 11 11 12 13 13 13 11 10 10 9 9 11 13 17 24 25 18 13 10 9 8 6 3 -1 -3 1 7 9 9 9 10 10 9 9 9 10 11 10 9 8 9 10 11 14 20 nan
nan 15 15 14 13 10 9 9 9 8 8 9 9 9 9 10 9 9 8 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 12 14 14 12 12 13 12 7 6 10 12 16 22 24 21 15 11 9 7 5 5 3 -0 -0 4 8 9 10 10 10 10 9 8 9 10 10 10 9 9 9 10 13 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
82 79 74 64 55 54 60 69 68 60 53 53 62 75 78 66 45 25 10 5 8 14 18 12 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
70 69 69 64 55 50 54 65 72 66 55 48 52 64 71 59 37 18 5 2 7 17 20 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
56 56 60 61 55 48 48 59 74 71 58 43 42 55 66 55 32 14 4 1 6 19 21 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
43 42 46 50 49 44 41 48 64 70 58 41 35 45 59 52 31 13 3 1 4 16 21 15 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
30 28 27 31 35 35 34 38 53 65 59 42 31 35 52 54 34 15 3 0 2 10 19 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
18 13 10 12 18 24 29 34 46 59 59 45 29 26 42 53 39 18 4 0 1 4 12 13 9 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
9 5 2 3 6 14 25 34 39 50 54 46 29 18 27 44 39 20 4 0 0 1 4 5 5 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
3 1 0 0 1 6 18 31 35 40 46 44 30 13 13 28 31 18 6 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 2 10 26 31 32 36 37 29 12 6 12 17 13 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 4 15 24 24 24 25 21 11 4 4 7 7 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 1 6 14 16 14 13 11 7 3 2 3 4 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 2 6 8 8 7 5 3 2 3 4 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 1 3 4 3 2 1 1 5 8 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 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 1 1 1 0 1 5 10 14 14 10 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 1 2 3
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 15 17 16 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 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 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 0 0 0 0 0 0 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 15 14 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 3 6 7 8
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 8 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 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 1 3 6 8
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 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 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 1 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 1 3 4 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 1 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 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 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
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