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 8 8 6 8 9 10 11 10 8 9 9 10 11 11 9 8 7 8 8 8 8 6 5 7 8 9 11 12 12 12 11 11 11 11 12 13 12 10 10 10 11 12 12 9 9 10 9 7 7 8 8 7 7 11 10 6 4 5 8 10 14 12 7 8 10 12 11 9 9 9 9 9 8 6 5 7 8 8 7 nan
nan 9 9 6 5 7 8 8 7 7 8 9 8 9 10 9 8 7 8 8 9 9 8 7 7 7 9 10 12 14 14 12 11 11 11 12 13 12 11 10 10 11 13 13 11 9 10 11 10 8 7 7 5 5 10 11 6 3 5 8 10 12 11 9 9 10 11 11 9 8 8 9 10 10 9 7 6 7 7 7 nan
nan 12 12 9 6 6 7 7 6 6 7 8 8 8 8 9 8 8 8 9 10 10 10 9 8 8 8 9 11 14 14 14 13 11 11 11 12 12 12 11 9 10 12 12 12 10 10 11 11 10 8 7 7 6 8 9 6 5 6 7 10 10 10 9 9 10 10 9 9 8 7 8 9 10 10 9 8 7 8 6 nan
nan 16 13 11 9 7 6 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 8 10 13 14 13 13 11 10 11 12 11 11 10 10 11 11 11 11 9 10 10 9 8 8 9 9 8 6 4 5 7 9 9 8 8 8 9 10 9 8 9 10 9 10 9 10 10 10 9 8 8 7 nan
nan 21 18 14 11 9 7 9 9 8 8 8 8 8 7 7 8 8 8 9 9 9 9 10 9 8 7 7 7 7 10 12 13 14 12 10 11 11 10 10 10 10 10 11 12 12 11 10 10 9 9 8 10 12 8 3 3 6 10 10 8 7 8 9 9 9 9 6 7 9 10 10 11 11 10 9 9 9 9 8 nan
nan 21 22 21 17 13 9 9 9 9 9 8 8 7 7 7 6 5 7 8 7 7 8 9 10 9 8 8 8 7 9 11 12 13 13 11 11 11 10 10 11 10 10 11 12 12 12 11 9 9 8 8 10 14 10 2 2 6 11 10 8 8 10 11 10 9 8 6 6 8 10 10 11 12 11 9 9 9 10 9 nan
nan 15 19 23 23 19 14 10 9 9 9 9 9 8 8 8 6 5 5 6 7 7 7 8 9 10 9 10 11 9 8 8 10 11 11 12 11 11 10 10 11 10 10 10 11 12 13 13 10 9 8 6 7 14 14 4 2 5 10 9 8 12 14 13 10 7 6 7 6 7 8 9 10 12 11 10 10 11 11 10 nan
nan 11 15 20 23 23 19 15 12 10 9 9 9 9 9 9 7 6 6 6 6 7 7 8 9 9 8 10 11 9 8 8 9 9 10 11 11 10 10 10 11 10 10 10 11 12 13 14 11 10 8 6 4 9 12 8 5 7 7 6 8 12 15 15 11 7 5 6 6 6 6 8 9 10 10 11 11 13 12 11 nan
nan 12 14 17 19 21 20 18 15 13 11 10 10 9 9 8 8 8 8 7 6 6 7 7 8 8 9 9 10 9 9 8 9 9 9 9 10 9 8 9 10 10 10 10 10 11 12 13 12 11 9 7 5 6 7 7 7 7 7 5 6 10 13 17 14 8 6 6 6 6 6 7 8 9 10 11 12 13 13 11 nan
nan 13 13 15 17 18 19 19 18 17 15 13 11 10 10 9 9 10 10 10 8 7 7 7 8 7 8 10 10 10 10 9 9 9 9 9 10 10 8 8 9 10 11 11 9 10 12 12 12 11 10 9 9 8 6 4 6 8 6 5 6 8 11 15 14 10 7 6 5 6 9 9 8 7 8 10 12 12 12 13 nan
nan 12 12 13 14 15 17 18 19 19 18 16 15 12 11 10 10 11 11 12 11 9 8 8 8 7 8 8 10 11 11 10 10 10 10 9 10 11 10 9 8 8 10 11 10 9 10 11 11 10 9 8 10 11 8 5 7 7 5 4 8 9 11 12 11 10 8 5 3 4 9 11 9 7 6 8 10 11 12 13 nan
nan 12 12 12 12 12 14 17 18 17 18 18 17 16 13 10 8 9 10 11 11 10 9 8 8 8 7 8 9 9 9 10 10 10 10 11 11 11 11 11 9 8 8 11 12 9 9 11 10 9 7 6 8 10 9 8 9 9 5 4 7 10 12 12 11 11 9 7 4 4 8 10 10 8 6 6 7 10 12 14 nan
nan 12 12 13 13 12 12 14 16 16 16 16 16 17 15 12 9 8 9 10 10 10 9 9 9 9 8 8 9 10 10 10 9 9 10 11 11 11 11 11 12 11 9 10 11 11 10 10 10 9 7 5 6 7 8 9 10 10 7 5 5 8 12 14 13 11 10 9 6 5 8 10 10 8 7 4 4 8 12 14 nan
nan 12 14 15 15 15 14 14 15 16 15 15 15 15 16 15 12 11 10 10 10 10 9 9 9 10 10 9 10 10 11 12 11 10 9 10 11 11 10 9 11 13 12 10 10 11 11 10 10 10 8 6 6 6 9 11 10 9 7 5 3 4 10 14 14 11 9 10 9 6 7 9 11 10 8 5 4 6 10 12 nan
nan 13 15 16 17 17 17 15 16 16 16 15 14 13 14 15 14 13 12 12 12 11 10 8 8 9 9 9 10 11 11 12 13 12 11 11 11 10 9 8 9 11 12 12 11 11 11 10 10 10 9 7 5 6 8 10 11 10 8 5 2 2 7 12 12 11 10 10 10 8 7 8 9 10 9 6 4 6 8 8 nan
nan 14 15 16 17 18 18 18 17 17 16 16 15 13 12 13 14 14 13 13 13 12 11 10 9 9 9 8 9 10 11 11 11 12 13 13 12 11 10 9 9 10 11 11 10 11 11 10 9 9 10 9 8 8 7 7 10 10 9 8 5 2 5 8 9 9 9 10 10 10 9 8 7 8 9 8 7 7 7 6 nan
nan 14 15 14 15 16 18 19 19 18 17 16 15 14 11 11 11 12 13 13 12 13 12 12 10 10 9 8 8 8 10 11 11 11 12 12 13 12 11 10 9 9 11 10 9 10 11 11 8 6 8 10 9 10 9 8 8 9 9 9 8 6 5 6 7 7 7 7 9 10 9 9 8 7 8 8 8 8 8 6 nan
nan 14 14 13 13 14 16 18 19 18 17 16 17 17 15 12 10 10 10 10 11 12 12 11 11 11 10 9 8 8 9 10 11 11 12 12 13 12 10 11 11 11 10 10 9 9 10 10 8 7 7 8 8 9 9 9 10 10 10 9 9 9 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 nan
nan 13 13 13 12 12 12 14 15 14 14 15 16 17 19 19 17 14 12 11 11 12 12 12 11 10 10 9 9 9 9 9 10 12 13 14 13 13 11 10 11 12 10 10 10 10 10 10 9 9 8 8 8 8 7 7 9 12 11 10 8 8 9 9 8 7 8 8 8 7 8 9 9 8 8 8 9 10 9 7 nan
nan 12 12 12 11 10 10 11 11 11 11 11 11 12 15 19 22 21 18 15 13 13 14 14 13 12 12 10 9 9 10 9 8 10 11 14 14 13 12 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 7 6 6 10 11 11 9 8 9 9 8 7 8 8 8 8 8 9 10 9 8 8 9 11 12 9 nan
nan 12 11 10 10 9 10 11 11 11 10 9 9 9 10 13 15 18 20 19 17 15 14 15 16 15 14 12 11 10 10 10 9 8 8 12 14 13 12 10 10 10 11 10 10 10 10 10 9 10 10 10 9 9 9 8 7 8 9 10 10 10 11 10 9 8 9 9 8 8 8 10 11 10 9 8 7 9 12 12 nan
nan 11 10 9 10 11 11 12 11 12 12 11 10 10 9 8 8 10 16 20 20 17 14 13 14 16 15 14 12 11 11 12 10 8 7 9 12 13 12 11 11 10 10 10 10 11 11 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 9 11 10 8 9 10 9 8 9 9 10 10 10 9 7 7 9 10 nan
nan 10 10 10 11 12 12 12 12 12 12 11 10 9 9 8 8 8 11 15 18 17 15 12 12 13 14 13 12 11 11 11 11 10 8 7 10 13 13 12 12 12 12 12 11 10 9 10 11 10 10 10 11 11 11 10 10 10 9 9 7 7 8 10 10 9 9 9 9 10 11 11 10 10 10 10 9 7 7 8 nan
nan 10 11 12 12 12 12 12 11 11 10 10 10 10 10 11 11 9 9 11 15 17 16 14 13 12 12 12 12 11 10 10 11 10 9 7 9 13 14 12 11 13 13 13 12 11 10 9 10 10 9 9 10 11 10 11 11 11 11 11 10 9 8 9 11 10 9 8 7 9 13 14 12 10 9 10 9 8 7 7 nan
nan 11 12 12 12 12 11 12 11 10 10 10 11 11 12 13 13 11 10 11 14 16 17 17 15 14 12 12 12 12 10 10 11 12 11 9 9 12 13 13 13 13 14 14 13 12 12 11 10 9 9 8 8 9 9 10 10 9 9 11 11 10 9 8 10 11 10 9 8 6 10 14 13 11 9 10 10 9 8 8 nan
nan 12 12 12 12 12 12 12 11 10 11 11 13 13 13 14 14 13 13 13 14 15 16 17 17 18 17 14 13 12 11 11 11 11 11 10 9 9 11 11 11 12 14 13 12 11 14 14 11 10 10 10 10 10 10 9 9 7 6 9 11 11 9 8 7 9 11 10 9 8 9 11 12 11 9 9 10 10 9 9 nan
nan 13 13 13 13 12 12 12 11 12 12 13 13 13 13 14 14 15 15 15 15 15 16 16 17 16 16 15 14 13 12 12 11 11 12 10 9 9 9 9 9 10 12 13 11 9 12 15 12 11 11 12 13 13 13 12 12 10 7 7 10 13 11 9 8 8 9 9 9 10 11 11 12 11 11 9 9 9 10 10 nan
nan 13 13 12 11 11 11 12 12 13 13 14 13 13 13 14 14 15 16 16 15 15 16 17 16 15 13 11 11 13 13 13 13 13 13 12 12 11 10 11 9 8 10 12 13 9 10 14 13 11 11 12 14 15 15 15 15 13 10 8 8 12 12 10 11 10 9 8 9 10 11 12 12 12 12 11 10 9 8 8 nan
nan 12 12 11 10 11 12 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 15 16 17 16 14 12 11 12 13 14 13 13 15 15 14 14 13 12 11 10 9 10 12 12 11 12 12 11 11 12 13 15 16 15 16 16 14 10 7 10 12 11 11 11 10 9 9 9 10 11 12 13 14 13 12 10 9 6 nan
nan 11 11 10 10 12 13 13 13 13 13 13 13 13 13 13 13 14 15 16 15 15 15 16 17 18 17 16 15 13 14 15 15 13 14 16 17 17 17 16 15 14 12 10 10 12 12 12 11 11 12 13 13 14 14 15 15 16 17 13 8 8 10 10 11 11 10 10 10 9 8 10 11 12 14 14 14 13 11 9 nan
nan 11 10 11 11 12 12 13 13 13 13 14 13 12 12 13 13 14 16 16 15 14 15 17 17 18 18 18 17 15 15 17 17 15 13 14 16 19 22 22 20 19 17 14 10 10 11 11 11 12 14 14 13 13 13 14 14 17 17 15 11 9 9 9 10 11 11 10 9 9 8 9 10 9 11 12 14 14 13 12 nan
nan 11 10 11 11 12 12 13 13 13 13 13 13 12 13 13 14 15 15 14 14 15 16 16 17 18 19 19 18 18 18 19 19 18 15 14 14 17 22 24 23 20 18 16 12 10 11 10 12 13 15 15 14 14 13 13 14 15 17 17 14 11 10 9 10 10 12 12 10 9 9 9 9 9 10 10 12 13 13 13 nan
nan 10 10 11 12 12 13 13 13 12 12 12 12 13 14 14 14 14 14 14 15 16 17 17 18 18 19 19 18 18 17 18 19 19 17 15 13 13 17 21 22 20 17 15 13 10 11 10 10 12 13 14 15 16 15 13 13 14 15 17 16 13 11 10 10 11 13 14 13 12 11 10 9 9 9 9 11 12 13 14 nan
nan 10 10 11 11 12 13 13 12 11 12 12 13 14 14 14 13 13 14 15 16 16 18 19 20 20 20 20 19 17 16 16 17 16 15 14 11 9 11 15 18 18 16 14 13 11 11 9 8 8 10 13 16 17 16 13 12 12 13 16 17 14 12 11 11 10 10 12 14 14 13 11 10 10 8 8 10 12 12 13 nan
nan 10 10 11 11 13 12 12 12 12 11 13 14 14 13 13 14 14 15 16 16 16 17 18 21 23 24 23 21 18 17 17 17 16 15 13 11 9 9 11 13 13 13 13 13 12 11 10 7 7 10 12 15 17 16 13 12 11 12 13 15 14 12 12 13 11 9 11 13 13 13 13 12 11 10 9 9 10 10 11 nan
nan 10 10 11 12 12 12 12 12 12 12 13 13 12 12 13 15 15 15 16 16 16 16 17 19 22 23 25 24 21 19 19 19 18 18 16 13 12 11 12 12 12 10 11 12 11 11 11 9 9 12 12 13 15 15 13 12 11 11 11 12 11 10 10 13 12 10 11 14 15 13 13 13 13 13 14 12 10 9 10 nan
nan 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 14 15 15 16 16 16 16 17 16 17 20 24 26 25 22 20 19 19 20 20 18 15 13 13 15 15 13 13 15 14 13 13 11 12 12 12 14 14 14 12 12 11 11 11 11 10 8 7 8 11 10 11 13 14 14 13 12 12 12 15 17 15 12 12 nan
nan 11 11 11 11 12 12 11 11 12 12 12 12 12 12 13 14 15 16 15 14 15 16 16 15 15 18 23 27 26 24 21 18 19 20 20 19 18 16 16 17 19 17 17 20 21 19 17 15 14 13 14 15 15 14 12 12 11 11 12 12 11 9 6 5 7 9 11 12 13 12 12 12 10 9 13 17 18 17 15 nan
nan 11 11 11 11 11 12 12 11 11 11 12 12 12 12 13 14 15 15 14 13 15 17 16 15 15 17 21 25 27 26 22 18 17 18 19 19 19 17 16 17 17 17 17 18 19 20 21 21 19 16 15 15 15 14 13 12 11 12 12 12 11 10 6 3 4 8 11 13 14 14 14 13 11 8 9 13 16 17 18 nan
nan 10 10 11 11 11 11 12 12 11 11 12 12 11 12 12 13 13 13 13 13 16 18 15 14 14 17 21 23 25 26 24 20 16 15 16 15 16 15 14 14 14 14 13 14 14 14 17 22 24 20 17 16 15 13 13 12 13 13 14 13 13 12 9 4 2 5 8 12 13 14 15 14 12 8 6 8 11 15 22 nan
nan 9 10 11 12 12 11 11 12 12 11 11 11 11 11 12 13 12 12 12 14 16 17 14 12 13 18 20 21 23 24 24 21 18 15 12 12 12 13 12 13 13 12 11 11 10 8 11 20 24 21 17 15 15 13 13 13 13 15 15 14 13 14 13 7 3 3 4 7 10 12 14 14 12 9 5 4 5 7 16 nan
nan 9 10 11 12 12 11 11 12 12 11 11 11 11 11 12 12 12 12 12 13 16 16 13 11 12 16 19 21 22 23 23 23 21 19 16 14 11 11 11 12 13 13 12 11 9 8 8 14 19 20 17 16 15 13 12 13 14 13 12 10 10 14 16 13 9 7 5 5 8 10 12 14 13 10 6 4 2 -0 3 nan
nan 9 9 10 11 12 12 12 12 12 12 11 11 11 10 11 11 11 11 12 14 16 15 11 10 13 15 18 20 22 22 22 24 24 24 22 20 17 13 12 11 12 12 11 11 10 10 8 7 12 16 18 16 14 13 13 13 13 12 9 7 10 13 15 14 13 12 11 9 9 11 12 13 13 11 9 8 6 2 1 nan
nan 9 9 10 11 12 12 12 12 12 11 11 11 11 11 10 11 11 12 12 15 16 12 9 10 13 15 17 19 20 20 21 22 23 24 25 26 24 20 16 13 12 11 11 11 12 11 10 6 7 14 18 17 14 13 12 13 13 10 7 5 9 13 14 13 14 13 13 14 15 15 14 12 11 12 13 14 13 10 9 nan
nan 10 9 10 10 11 12 12 12 11 10 11 12 13 12 11 11 12 12 12 14 14 12 10 11 13 15 16 17 19 21 21 19 18 18 19 23 26 24 21 18 15 14 14 14 13 13 12 10 11 14 17 16 14 13 12 12 10 5 3 3 6 10 11 12 13 11 10 12 16 19 18 14 11 10 12 15 16 16 15 nan
nan 10 10 10 10 11 12 11 11 10 10 12 13 13 12 11 10 12 12 12 14 14 12 11 11 13 15 16 18 20 22 22 20 16 13 12 16 21 24 24 22 19 17 17 17 17 15 14 13 15 18 20 19 17 15 14 12 7 2 -0 3 7 8 9 11 12 10 7 8 11 15 18 18 14 11 10 12 15 17 19 nan
nan 12 11 10 10 12 12 10 9 10 12 13 13 12 11 10 11 13 13 13 14 14 13 13 13 14 15 17 19 21 23 23 21 18 14 11 12 15 19 22 22 22 21 20 22 22 20 18 15 14 17 23 25 22 19 17 14 8 3 -0 4 8 9 10 11 12 11 8 6 6 8 13 17 17 13 10 11 14 18 23 nan
nan 13 12 11 11 12 12 10 9 10 11 13 13 12 11 11 13 14 14 12 12 13 13 14 13 15 17 19 21 21 21 21 21 19 17 14 12 13 16 18 20 22 23 20 22 24 25 21 15 10 11 20 26 26 24 22 18 12 5 0 3 8 10 11 12 13 13 10 7 3 3 7 12 15 15 12 12 14 17 22 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
59 53 44 42 34 22 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
52 48 39 36 30 20 10 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 0 0 0 0 0
41 42 36 32 29 20 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
18 26 29 28 26 19 10 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
3 8 13 16 16 13 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 1 3 5 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 0 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 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 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 2 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 1 3 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 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 1 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 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 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 1 1 1 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 1 1 1 1 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 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 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
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 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
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
2 1 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 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
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 1 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 1 1 0 0 0 0 1 2 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 1 2 1 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
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 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
2 2 2 2 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 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
2 2 2 2 2 2 3 2 2 2 2 2 2 2 1 1 0 1 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
2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 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
3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 5 4 2 1 0 0 1 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
4 4 4 5 5 5 5 5 6 5 5 5 4 4 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 7 9 10 7 4 2 1 1 2 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
4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 8 10 10 8 5 2 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
5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 5 2 1 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 9 10 9 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
5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 5 6 4 2 1 0 0 0 0 0 0 0 0 0 1 3 6 7 6 8 11 11 9 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
5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 1 3 7 8 10 11 12 11 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
5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 12 13 12 10 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
6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 6 7 6 5 5 5 4 1 0 0 0 0 0 0 0 0 1 3 5 7 9 12 13 12 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
5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 8 7 6 5 5 6 4 2 1 1 0 0 0 0 2 4 8 9 9 10 12 11 10 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
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 7 7 6 4 2 0 0 1 3 9 15 16 15 14 14 12 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
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 7 8 10 11 12 10 6 2 2 2 6 14 20 22 22 20 18 14 9 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
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 7 8 10 13 14 13 13 10 8 7 8 10 18 23 26 28 27 24 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
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 7 7 8 12 16 17 15 16 16 15 14 14 14 19 24 28 30 31 29 26 24 22 20 17 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
5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 6 6 6 7 7 10 16 18 17 19 19 19 18 18 18 21 25 28 31 33 34 33 33 32 30 26 20 14 8 3 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 0
5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 8 12 16 17 19 20 20 22 24 26 28 30 33 35 37 42 43 42 41 38 33 27 20 14 8 4 3 2 0 0 0 0 0 0 0 0 1 4 5 5 5 4 3 3 3 4 5 5 6 6 6 5 2
5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 7 9 13 17 20 22 23 28 34 36 38 37 37 38 42 45 47 48 48 44 39 33 25 18 12 8 5 3 2 0 0 0 0 0 0 0 3 8 12 14 14 13 11 10 10 11 12 14 16 16 14 10 6
5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 6 7 8 8 6 6 7 10 15 19 23 28 33 38 38 38 38 39 41 42 44 45 46 47 48 45 38 27 18 13 10 6 5 3 1 0 0 0 0 0 1 5 13 20 24 25 23 21 20 21 22 22 23 22 21 18 16 14
5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 8 10 9 7 6 7 8 10 14 20 27 34 36 36 36 37 39 43 46 46 47 46 46 48 49 40 28 18 14 11 9 7 4 2 0 0 0 0 1 2 8 16 24 29 30 29 28 28 29 31 30 27 23 20 18 20 20
6 6 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 6 7 10 12 11 9 7 7 7 8 11 14 19 25 34 38 40 41 44 46 48 48 47 46 45 48 47 37 26 18 13 12 10 8 5 2 0 0 0 0 2 6 12 19 26 30 31 31 30 30 31 32 30 27 24 22 19 19 20
8 7 6 5 5 4 4 4 5 6 6 6 6 6 5 4 4 5 5 5 6 6 6 9 12 13 12 10 8 7 7 7 8 11 14 19 27 34 40 44 47 48 46 46 46 45 45 47 41 30 20 14 11 9 7 5 2 0 0 0 0 1 5 9 14 21 26 29 30 30 29 30 30 29 26 24 24 26 26 24 21
8 8 6 5 5 5 4 4 5 6 6 6 6 6 6 5 5 6 5 5 6 5 6 9 13 13 12 10 9 8 7 6 7 8 11 16 20 24 30 35 39 41 40 38 38 38 40 41 35 22 11 7 6 5 6 6 3 0 0 0 0 1 3 7 12 17 22 25 26 26 26 27 27 25 20 19 22 27 29 28 25
8 8 8 6 6 5 4 4 4 5 6 6 6 6 6 4 4 4 4 4 5 5 7 11 13 13 12 10 9 8 7 6 6 6 5 6 9 13 17 21 25 26 26 27 28 29 30 31 29 18 4 3 2 3 4 2 0 0 0 0 0 0 1 2 6 9 13 14 16 17 18 21 22 20 17 17 20 24 28 30 28
9 10 9 7 6 5 5 4 4 5 6 6 6 6 6 4 4 4 4 5 6 6 7 10 12 12 11 10 8 7 6 6 6 5 4 2 2 4 8 12 16 18 20 22 23 24 23 23 21 13 2 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 10 14 17 19 20 21 22 23 28 30 27
11 11 10 8 7 5 5 4 4 4 6 6 6 6 6 6 5 4 4 5 6 6 6 6 7 7 10 9 8 6 5 5 5 4 4 2 2 2 3 6 9 12 14 16 17 18 18 20 16 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 9 14 18 21 22 22 22 27 28 23
13 13 11 9 8 6 5 5 4 4 5 5 5 6 6 6 5 4 4 5 5 5 6 10 11 4 9 9 7 6 5 5 5 4 3 2 2 2 2 2 3 5 6 7 8 12 17 17 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 6 11 16 20 22 21 22 24 24 18
13 12 11 10 8 7 6 5 5 5 5 5 5 5 6 6 5 4 4 5 5 6 7 7 6 4 7 8 7 6 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 6 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 3 2 3 5 9 13 18 21 21 21 21 18 12