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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 19 19 17 12 8 6 6 9 12 10 6 5 7 7 8 9 13 15 12 9 10 11 12 11 10 11 10 7 6 6 8 9 9 7 5 4 3 4 5 7 8 7 8 9 8 7 6 6 6 5 4 5 6 9 10 9 6 6 8 12 14 11 8 9 8 7 7 9 10 7 8 9 9 7 7 8 7 5 2 3 6 8 9 9 9 9 12 15 15 16 13 9 9 6 5 6 9 10 11 11 11 12 14 13 11 10 9 9 10 9 9 8 8 8 7 8 7 nan
nan 10 13 16 17 17 15 12 9 10 11 8 6 7 9 10 9 8 10 12 12 12 12 13 13 12 11 11 10 8 6 6 8 10 9 8 7 5 4 4 3 5 7 7 7 7 8 8 7 7 6 5 4 2 3 5 7 7 6 5 5 9 15 13 9 9 8 6 5 7 8 7 8 9 8 6 7 10 8 8 8 5 3 6 10 10 9 8 10 13 11 12 9 10 15 14 8 4 3 4 8 9 8 10 13 11 11 11 9 9 10 11 11 10 9 9 8 8 8 nan
nan 9 11 14 17 18 18 17 14 12 11 7 5 6 9 11 11 10 9 10 11 12 12 13 14 14 13 12 12 10 8 7 9 11 11 10 9 6 5 4 3 3 6 9 9 9 8 6 6 6 7 7 6 4 3 4 5 6 7 6 5 6 12 13 12 11 10 6 5 6 8 9 9 10 10 9 9 9 5 6 8 5 3 4 10 12 11 8 7 8 10 8 4 7 10 15 14 10 5 3 5 6 6 9 12 11 10 11 10 9 9 10 11 11 11 10 10 9 9 nan
nan 13 14 15 16 17 18 18 17 15 14 8 2 -0 4 10 12 11 9 9 10 11 10 11 12 14 15 14 13 11 9 7 7 10 13 13 12 9 6 5 3 3 5 9 12 13 11 8 6 6 6 8 7 5 4 4 4 6 8 7 5 4 8 11 11 12 12 10 7 8 8 9 9 10 10 10 10 8 6 4 5 4 5 5 8 12 12 11 9 7 9 11 12 8 8 11 14 12 11 9 8 5 1 6 10 10 10 11 11 10 9 9 10 11 11 12 11 10 9 nan
nan 17 17 17 15 14 16 16 16 17 18 14 3 -4 -1 5 9 10 8 9 11 10 9 9 11 13 14 15 14 12 9 6 4 6 10 14 14 12 9 6 4 3 4 6 10 13 13 11 8 7 7 7 7 6 5 5 5 6 8 8 6 2 3 6 8 10 12 11 10 10 9 7 6 6 7 10 9 7 8 6 6 3 4 5 4 7 7 10 10 9 9 8 9 10 10 11 13 13 15 14 11 8 1 4 10 12 11 10 11 12 11 11 11 11 11 11 11 9 9 nan
nan 19 21 20 16 13 12 12 12 14 18 19 13 3 -2 -0 4 7 8 10 11 10 9 10 10 11 13 15 16 13 10 8 5 4 6 10 12 13 11 10 7 5 4 5 7 9 10 9 9 8 8 8 8 7 6 6 6 6 8 9 7 6 4 4 5 6 7 8 9 10 10 8 6 3 3 8 11 10 8 8 9 7 5 5 5 5 5 6 9 10 7 4 4 7 8 9 12 13 15 16 15 12 5 4 11 15 14 12 12 14 14 13 13 11 11 11 11 10 9 nan
nan 17 20 19 16 14 12 11 10 10 13 16 19 16 8 4 4 5 7 8 10 10 10 10 10 10 12 14 15 13 12 10 8 8 7 7 9 10 11 13 12 9 6 5 5 7 8 9 8 8 8 9 9 8 7 7 6 6 6 8 8 7 9 8 6 7 6 5 5 7 9 9 9 6 3 4 9 12 11 11 11 9 9 9 8 8 10 10 9 9 8 6 7 7 4 5 8 11 12 15 17 14 8 8 13 18 18 13 11 14 15 13 12 12 12 12 11 10 9 nan
nan 13 14 15 14 14 14 13 12 11 11 13 16 18 16 13 10 8 5 5 7 8 9 10 11 11 10 11 13 13 11 11 11 11 9 7 7 8 9 11 14 12 9 7 7 8 8 9 9 8 7 7 9 9 8 7 6 5 5 7 8 7 8 8 8 8 9 9 6 5 6 8 8 8 4 3 6 9 10 13 12 9 8 9 10 11 11 10 11 11 10 10 10 10 6 4 6 9 12 16 19 14 8 4 12 18 18 13 9 9 12 12 11 12 12 12 11 10 10 nan
nan 10 10 11 13 13 13 14 15 15 15 14 14 13 14 15 16 13 7 4 5 6 6 8 10 10 9 10 11 11 10 10 14 13 11 9 7 6 7 8 12 13 10 9 10 12 11 11 10 8 7 6 7 8 7 7 6 5 5 5 6 6 6 6 7 7 8 10 8 5 5 5 6 7 4 4 6 7 6 8 9 8 7 8 10 11 10 9 10 12 13 12 11 11 9 6 7 10 15 16 14 14 7 3 7 12 14 13 8 9 9 11 11 12 11 11 11 10 10 nan
nan 10 9 8 9 11 12 13 15 16 16 15 13 11 10 11 14 16 13 8 7 5 3 4 8 9 8 7 7 8 8 10 13 13 11 9 8 7 7 7 8 10 10 10 10 12 13 13 12 10 8 7 7 8 8 7 6 6 6 7 5 5 6 5 6 6 6 8 9 7 6 6 6 6 6 5 6 7 6 6 7 7 6 10 12 10 7 6 8 12 14 13 9 8 9 6 7 8 12 14 10 11 8 8 7 9 12 12 8 9 11 10 10 14 14 12 11 11 10 nan
nan 11 11 9 5 5 6 9 12 12 12 13 13 12 11 12 12 13 14 12 11 7 3 2 4 6 7 5 4 5 6 8 11 12 12 10 8 8 8 9 9 9 8 8 8 9 11 12 12 11 10 9 10 10 10 9 7 5 7 8 5 4 8 8 6 6 6 8 9 8 8 8 6 6 7 6 6 7 7 6 6 5 5 7 9 9 7 6 6 8 11 10 7 7 8 7 6 6 9 7 10 11 9 6 9 11 14 11 11 12 13 10 8 12 15 14 13 12 10 nan
nan 9 10 12 8 3 4 7 9 9 10 10 11 12 14 15 13 12 12 12 12 13 11 7 4 5 6 5 4 3 4 6 9 10 11 11 9 7 8 10 11 10 8 7 7 7 8 10 11 11 11 11 11 12 13 11 9 7 7 7 4 5 7 9 9 6 5 7 8 8 9 9 7 6 7 8 7 7 8 7 7 5 3 5 6 7 7 7 6 7 7 5 6 7 8 10 9 8 5 1 7 11 10 6 7 7 7 10 11 10 9 9 6 9 13 14 14 13 10 nan
nan 7 7 9 9 7 7 7 8 9 10 9 9 11 13 14 14 14 13 12 12 13 16 17 13 11 9 7 5 3 3 4 6 7 9 9 9 7 7 9 10 10 9 7 6 6 7 9 10 12 12 11 11 13 15 14 12 9 7 7 8 7 7 8 8 7 5 6 7 7 7 7 6 6 7 9 8 7 8 9 8 6 3 4 6 7 7 6 7 8 8 7 6 8 10 12 11 7 0 3 5 9 8 5 5 4 2 8 9 8 8 4 5 10 14 12 13 14 12 nan
nan 9 8 7 6 6 7 7 8 9 9 9 9 9 10 12 12 13 13 12 11 11 13 19 22 20 18 15 11 8 5 4 4 5 5 6 8 8 7 8 7 8 7 7 6 5 6 7 8 11 12 11 10 10 13 15 14 11 8 9 11 11 9 7 8 7 7 7 8 8 6 5 6 6 6 8 8 8 8 9 8 7 5 4 7 9 7 5 5 7 9 10 9 9 11 12 10 4 -0 2 4 7 7 7 6 8 6 7 9 10 10 6 7 10 13 11 12 14 13 nan
nan 10 11 10 7 5 5 6 7 8 8 10 10 8 9 9 9 10 12 11 10 9 10 16 21 22 23 23 20 17 11 6 4 4 4 5 7 8 8 8 8 7 6 6 6 4 3 3 5 7 9 10 8 8 9 12 14 13 9 10 13 13 11 8 8 7 7 8 9 9 8 7 8 7 6 7 10 10 9 8 8 7 6 5 8 10 9 5 4 5 8 10 11 11 11 11 11 8 7 5 4 3 2 7 10 10 8 6 9 11 10 13 11 11 10 8 12 14 14 nan
nan 10 11 11 10 7 6 6 7 7 9 10 10 9 10 10 11 11 11 10 10 10 10 15 19 20 22 23 24 23 20 15 9 6 5 6 8 9 10 9 9 8 8 7 7 5 4 3 3 5 8 8 7 6 6 9 13 13 8 9 15 16 12 9 9 7 7 8 9 9 8 8 9 8 6 5 8 10 10 8 7 6 8 8 9 11 11 8 6 5 7 9 10 11 10 10 10 13 12 10 8 6 2 4 10 8 8 6 5 7 10 13 12 11 8 9 13 13 11 nan
nan 10 10 10 10 9 9 9 9 9 11 10 11 10 10 11 12 12 11 10 11 11 11 12 16 18 19 20 21 22 23 22 19 14 10 8 8 10 11 11 11 10 10 9 9 8 6 4 4 5 7 8 7 7 7 8 10 11 9 9 13 17 14 11 9 8 7 9 9 8 7 8 9 9 7 6 7 8 8 8 7 6 8 10 10 11 11 10 8 7 7 8 9 9 9 10 10 9 9 9 9 11 9 5 5 7 9 6 4 5 8 10 12 10 6 10 10 12 9 nan
nan 10 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 12 10 10 12 15 17 18 18 18 18 19 20 20 18 14 11 10 11 11 11 11 11 11 10 9 8 7 7 6 6 7 7 8 10 9 9 10 9 7 10 13 14 12 10 10 10 10 10 8 8 9 9 8 8 9 9 8 8 9 9 7 8 10 9 8 8 8 8 8 6 5 5 6 8 9 12 13 10 8 8 12 12 6 3 8 11 5 4 5 9 10 12 9 6 7 9 13 9 nan
nan 9 9 9 8 9 10 11 12 12 11 10 9 9 10 10 11 12 12 11 10 9 9 9 10 12 14 15 17 19 18 16 15 17 19 19 16 12 11 11 10 11 12 12 11 10 10 10 10 8 6 5 6 9 11 12 10 9 8 7 9 9 10 11 11 12 13 13 12 10 9 11 11 10 8 9 10 10 10 11 9 10 11 11 9 7 7 8 7 7 7 4 2 2 4 6 8 12 14 14 12 12 11 4 1 9 12 6 4 7 11 12 11 9 9 7 11 14 8 nan
nan 9 9 9 9 9 10 11 12 11 10 9 9 9 9 10 10 10 10 9 8 9 9 10 8 8 9 13 18 20 21 20 17 14 14 15 15 14 12 12 12 11 12 12 12 11 11 12 12 10 7 4 5 8 11 11 11 11 9 9 9 9 7 8 9 11 14 15 14 11 10 12 14 12 10 8 8 8 10 11 8 10 11 11 9 8 8 10 11 10 9 8 5 2 1 4 6 8 11 15 16 13 11 6 0 5 12 12 6 5 8 12 11 9 9 8 10 13 10 nan
nan 9 9 10 9 10 10 10 11 10 9 9 10 9 8 8 9 10 10 10 9 10 11 10 8 7 7 10 15 19 21 21 20 18 16 14 13 13 12 12 12 11 11 11 12 12 12 13 13 12 8 6 5 8 9 8 8 10 10 10 9 9 7 6 7 7 10 14 15 11 9 11 14 13 11 9 7 5 8 10 8 8 10 12 11 9 9 11 12 12 11 12 9 6 4 4 5 7 9 11 13 12 12 11 5 5 12 16 11 4 1 12 11 8 9 9 10 10 14 nan
nan 10 10 9 10 10 11 11 9 8 8 9 9 9 8 8 9 10 11 10 11 12 10 8 7 7 7 9 11 16 18 19 19 19 18 17 15 13 11 12 11 10 9 9 9 10 12 13 12 12 10 8 7 7 8 8 7 7 8 9 8 6 5 5 4 3 5 10 13 11 10 12 12 12 11 9 6 4 6 8 8 7 10 13 12 11 9 9 9 10 10 12 10 8 7 6 5 4 5 7 8 10 12 13 10 7 11 17 13 5 -0 11 12 11 10 5 7 10 12 nan
nan 11 10 9 9 10 11 11 9 7 8 9 9 9 8 9 10 10 10 9 10 11 10 7 7 8 9 9 9 11 13 14 15 16 18 18 18 16 14 13 12 10 10 8 8 9 11 11 11 11 11 10 9 8 7 9 9 8 9 9 7 6 4 3 3 1 0 5 10 11 11 12 12 11 10 9 6 3 4 6 5 6 11 13 10 10 9 9 9 9 8 9 10 9 7 6 4 3 2 3 5 7 11 13 12 9 10 14 14 7 2 1 9 15 11 4 8 12 10 nan
nan 10 10 10 10 10 11 10 8 8 9 10 9 7 8 9 10 10 9 9 10 10 7 7 8 10 11 10 7 7 9 10 11 13 15 16 18 19 18 16 14 13 12 10 9 10 11 11 11 10 9 9 9 9 8 9 10 10 11 12 9 6 5 5 4 3 2 2 7 10 11 13 13 11 9 8 6 3 3 4 3 5 10 10 6 6 8 8 10 10 9 8 10 10 9 7 5 4 3 3 3 3 7 11 12 9 8 11 16 13 3 -4 6 17 14 7 10 14 13 nan
nan 8 9 10 10 10 11 10 8 8 10 10 9 8 7 8 10 10 10 10 11 9 6 7 9 11 11 10 7 7 7 7 8 9 11 13 16 18 19 18 17 15 13 12 10 11 13 14 13 11 9 8 7 8 10 11 11 10 12 13 11 9 7 6 7 8 6 4 6 9 12 13 14 12 10 8 5 4 3 3 3 5 8 8 5 4 6 7 9 11 10 9 10 12 13 11 8 8 7 6 4 1 2 7 9 8 7 10 15 16 5 -2 7 15 15 15 10 11 13 nan
nan 8 8 8 9 10 9 9 8 8 9 10 11 10 8 9 9 10 9 9 9 8 7 7 9 10 10 10 9 8 8 7 6 7 9 11 14 17 19 20 19 17 15 12 10 10 12 15 16 14 11 10 9 8 9 11 12 11 12 13 13 11 8 6 6 9 8 5 4 7 11 14 14 13 12 10 6 5 4 3 2 5 9 8 6 5 6 8 8 10 10 10 10 11 12 11 11 11 11 10 7 2 -1 3 7 7 7 9 13 14 9 -1 0 5 11 14 9 8 12 nan
nan 9 8 8 8 8 8 7 8 8 8 9 10 10 10 10 9 9 8 7 6 8 8 7 8 8 9 9 11 10 9 7 6 7 8 9 11 13 16 21 23 19 16 13 10 7 7 11 15 15 13 13 12 9 8 9 11 12 12 12 13 11 9 6 4 7 8 6 3 3 7 10 12 13 12 11 8 6 6 5 2 4 9 8 4 4 6 7 7 8 9 8 9 10 10 9 8 9 12 13 10 5 1 2 6 9 8 8 11 14 14 2 -6 -0 9 9 5 5 13 nan
nan 11 10 10 9 9 8 6 6 7 9 9 9 10 10 9 9 9 9 8 7 8 8 8 8 8 8 9 11 11 9 7 7 8 9 10 10 10 12 19 25 23 19 14 10 7 5 6 10 12 12 13 14 11 8 8 9 12 12 12 11 11 9 6 4 6 8 8 5 2 2 4 8 11 12 11 9 7 7 6 5 7 9 8 5 3 5 5 5 7 8 8 8 9 10 9 6 6 10 14 13 9 5 3 4 8 10 9 11 14 16 8 0 4 9 8 4 5 12 nan
nan 9 11 11 9 9 8 7 6 7 9 9 9 9 10 9 8 9 9 9 9 9 8 8 8 9 8 10 11 10 8 8 9 10 10 10 9 8 9 14 22 25 22 17 12 8 5 6 6 8 8 10 11 11 9 7 7 10 12 11 10 9 9 7 5 5 8 9 7 4 1 1 4 8 10 12 11 8 7 7 6 7 10 10 7 5 5 5 5 7 9 10 10 11 11 9 6 5 8 13 15 12 8 5 5 8 8 9 10 12 14 9 4 4 7 8 8 8 7 nan
nan 7 8 10 10 9 8 7 7 8 8 8 9 10 10 10 9 8 8 9 10 9 9 9 9 8 8 9 10 9 9 9 10 11 11 11 10 9 9 11 16 20 22 21 15 10 7 7 7 6 5 8 9 10 8 6 5 8 10 12 11 10 9 8 7 6 8 8 9 7 5 3 3 6 7 10 10 9 7 7 6 7 10 12 9 7 7 7 7 8 10 10 10 11 11 10 8 5 5 11 14 12 9 6 6 9 9 9 10 9 9 10 8 6 6 8 11 11 6 nan
nan 6 6 8 9 9 8 7 8 9 9 8 9 9 10 9 9 9 8 9 10 10 10 11 9 8 8 9 10 10 10 10 11 11 12 11 11 11 10 10 11 13 16 20 19 13 10 10 10 7 5 6 8 9 9 7 5 6 9 10 11 10 10 9 9 9 9 9 9 9 8 6 5 6 6 7 9 9 7 6 7 9 12 11 9 7 7 7 7 7 9 9 9 9 9 10 9 5 4 8 13 13 8 4 4 7 11 9 8 7 8 13 13 11 8 7 11 10 7 nan
nan 6 7 7 7 8 9 9 9 10 9 9 8 8 9 9 8 8 9 10 11 10 10 9 8 8 9 10 10 11 10 10 11 12 12 12 11 10 9 9 8 8 10 15 19 16 12 12 13 13 10 8 8 8 9 8 7 7 8 9 10 10 10 10 11 10 10 9 9 9 10 9 9 9 8 8 9 8 7 7 8 9 12 12 8 7 7 7 6 6 8 10 9 8 9 10 9 6 3 6 12 13 10 5 3 7 11 10 8 7 9 11 10 9 6 8 11 9 10 nan
nan 7 8 7 6 7 8 9 10 10 9 10 9 9 9 9 8 8 9 11 10 9 9 9 9 9 10 11 11 10 9 9 10 11 11 11 10 9 8 7 7 7 7 10 14 15 13 12 13 15 14 13 11 10 9 8 8 8 9 10 10 10 9 11 11 11 10 9 9 8 9 10 11 12 11 9 9 8 7 7 8 9 10 10 8 7 8 8 7 6 8 9 8 8 8 9 9 7 4 5 10 13 11 8 8 10 11 11 7 7 8 8 8 8 6 7 8 8 12 nan
nan 7 8 9 7 7 7 8 9 9 10 10 10 10 10 9 7 7 9 10 9 8 8 9 10 10 10 10 10 11 10 9 9 10 10 9 8 8 8 8 8 7 7 8 10 13 13 13 13 13 14 14 14 13 11 8 7 8 9 10 10 10 10 11 11 10 10 9 8 8 8 8 9 11 11 10 9 9 8 8 8 9 9 8 7 6 7 8 8 7 9 8 7 7 7 8 9 7 5 5 9 13 12 9 10 11 12 12 8 7 9 8 7 7 7 8 7 10 16 nan
nan 6 7 8 9 8 8 7 7 9 10 11 11 10 9 9 9 8 8 9 9 9 9 10 9 9 9 10 10 11 10 9 10 9 9 8 8 8 8 9 9 8 8 7 9 11 13 14 14 12 11 11 13 14 13 10 8 9 9 8 9 9 10 10 10 10 10 10 9 8 7 7 8 8 8 9 9 9 9 9 8 9 9 8 6 5 6 8 8 9 9 8 7 6 7 9 8 6 4 4 7 9 11 10 9 7 9 11 11 9 8 8 8 7 6 8 8 11 19 nan
nan 7 7 8 9 9 9 8 8 9 9 10 9 9 9 10 11 11 9 7 8 9 10 10 9 9 9 9 10 10 9 8 9 9 8 8 9 9 9 8 7 8 8 8 7 8 11 14 16 15 13 12 11 12 13 12 11 10 9 9 8 8 9 9 9 8 9 10 9 9 8 7 8 9 9 9 9 9 9 9 9 9 10 9 6 5 5 7 8 9 9 8 7 7 8 8 8 6 3 2 4 6 8 10 9 7 7 9 11 11 8 8 9 8 8 9 9 7 7 nan
nan 8 8 8 8 9 10 9 8 9 9 9 8 8 9 11 11 11 10 8 8 9 10 10 9 9 9 9 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 7 7 8 11 15 17 17 15 13 11 11 11 12 11 11 9 8 8 8 8 7 8 8 9 8 8 8 7 8 9 10 10 9 9 9 9 10 10 10 8 6 4 4 6 8 9 10 9 8 8 9 8 8 7 4 3 3 6 7 9 8 6 6 7 9 11 9 8 8 8 9 10 9 4 -1 nan
nan 7 7 7 7 8 9 9 8 8 9 9 9 9 8 9 9 11 11 10 9 9 9 10 10 9 8 8 9 9 9 9 9 9 8 9 9 9 9 11 12 12 12 11 9 8 8 9 11 14 16 18 18 16 14 12 12 12 12 10 9 8 8 8 8 8 8 7 6 6 6 6 6 7 8 9 9 8 7 7 8 9 9 8 6 5 4 4 5 7 9 10 9 10 11 10 10 9 8 5 4 6 8 9 7 4 4 7 9 11 11 9 7 8 9 8 5 6 6 nan
nan 7 7 6 6 7 9 9 9 9 9 10 9 8 8 8 9 11 12 10 10 10 10 11 10 9 9 9 9 10 10 11 10 10 10 11 10 9 10 11 12 12 13 12 11 9 9 8 7 8 11 14 18 21 19 16 13 13 13 12 11 9 8 7 8 10 10 8 7 6 6 6 6 6 7 8 8 8 7 6 7 8 7 6 6 7 5 4 4 5 7 8 9 11 12 11 10 11 10 8 7 7 9 9 8 4 3 6 9 10 10 9 8 9 9 8 3 4 8 nan
nan 7 7 6 5 6 8 9 9 10 10 9 9 8 8 10 10 11 11 9 9 11 12 12 11 10 9 9 10 10 12 12 11 11 12 12 11 12 12 13 13 12 12 11 11 11 10 9 8 6 6 8 12 19 22 20 16 12 11 12 11 11 10 9 8 9 12 11 9 8 8 8 8 9 10 9 9 9 9 9 9 10 9 7 7 7 7 6 5 5 6 6 8 11 12 11 9 9 11 9 9 9 10 10 8 6 4 5 7 8 9 8 8 8 9 9 9 5 6 nan
nan 7 7 6 6 6 7 8 9 10 10 10 9 9 10 10 11 11 10 9 9 11 13 12 11 10 10 10 10 11 12 12 11 12 12 12 12 12 13 13 12 11 11 12 13 14 14 13 11 9 8 7 8 12 18 22 21 16 11 10 10 11 11 11 8 8 11 12 12 10 9 11 11 11 11 11 10 10 11 11 11 12 12 9 8 9 8 6 6 6 6 5 6 9 11 11 8 8 9 8 7 9 12 11 9 8 7 8 8 8 8 8 7 7 8 9 10 10 12 nan
nan 7 7 7 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 9 9 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 13 14 16 16 16 15 14 12 11 10 8 7 12 18 22 22 18 12 10 10 11 11 10 8 9 10 10 10 8 8 8 8 9 9 11 12 13 13 13 12 12 12 12 12 12 9 7 7 8 6 4 6 9 9 7 7 8 9 7 7 10 11 9 7 7 10 10 10 9 7 6 6 7 9 7 7 12 nan
nan 6 7 7 6 6 5 6 7 8 9 10 10 11 10 9 9 10 9 8 8 9 10 9 9 10 11 11 11 12 11 11 11 11 12 12 12 12 12 13 13 12 14 15 16 16 14 12 10 9 10 12 10 7 6 9 15 20 20 17 15 13 12 12 11 10 9 8 7 6 6 4 4 3 3 5 10 15 17 16 15 14 13 13 12 13 12 11 9 10 12 10 6 4 4 6 6 7 8 9 8 8 8 9 8 7 7 7 7 8 10 9 8 7 6 7 6 2 6 nan
nan 6 6 6 7 7 7 7 8 8 9 10 10 11 11 10 9 9 9 8 8 9 9 10 10 11 11 11 11 12 12 11 11 11 11 12 12 12 13 13 14 13 14 14 14 13 11 8 6 7 8 9 9 9 7 6 7 10 13 14 16 16 15 14 14 13 12 10 8 7 6 5 6 5 3 3 8 15 19 19 16 14 13 12 10 10 10 11 11 11 12 12 8 4 2 2 4 5 7 9 8 7 6 7 7 7 8 8 6 6 8 9 10 11 9 7 7 5 4 nan
nan 6 6 7 7 8 8 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 10 11 12 13 12 11 11 12 11 10 11 11 10 11 11 12 12 12 13 13 13 13 12 12 11 9 8 10 9 5 5 7 8 8 7 6 7 9 12 14 15 16 15 14 14 14 15 14 12 10 10 10 9 7 7 11 16 17 14 13 14 12 10 8 8 9 10 9 9 9 8 6 4 3 3 3 6 8 8 7 6 5 5 8 10 10 9 7 8 10 11 12 12 10 9 12 10 nan
nan 6 7 8 8 8 8 9 9 8 9 8 10 11 11 11 10 11 11 11 10 9 10 11 13 14 12 10 11 11 11 11 10 10 11 11 11 11 11 12 13 12 12 12 11 11 10 10 10 10 10 7 5 6 7 8 10 9 9 10 10 10 11 14 14 14 15 15 17 17 16 15 15 14 13 12 9 8 11 14 14 12 12 12 10 10 9 9 10 9 8 7 7 7 5 3 4 4 6 9 10 8 5 2 1 4 9 11 10 8 9 12 13 13 13 10 11 16 16 nan
nan 7 9 8 7 6 7 8 8 8 9 9 10 10 10 10 11 12 13 12 11 11 11 12 13 13 11 9 10 11 11 10 10 11 13 13 12 11 11 13 14 13 12 11 11 10 10 11 11 11 10 9 8 7 6 8 10 10 9 10 10 10 11 13 14 14 14 14 14 15 16 16 16 16 15 13 11 9 9 11 14 13 12 11 10 10 11 12 12 11 10 8 7 7 6 5 4 4 6 9 12 11 6 0 -3 -2 3 6 7 7 8 11 13 13 14 8 8 9 9 nan
nan 8 9 8 6 6 7 8 8 9 9 9 8 8 9 10 11 12 12 11 11 11 11 11 11 10 9 9 10 11 10 10 10 12 13 12 11 10 11 13 13 13 12 12 13 13 12 12 13 12 11 10 9 8 6 6 8 9 8 8 8 9 10 12 14 15 15 14 13 13 13 14 15 16 16 15 13 11 9 10 13 16 16 14 13 11 12 12 12 13 12 11 9 8 7 6 5 4 5 7 10 11 9 3 -1 -1 -0 1 2 2 4 7 9 10 9 7 5 3 5 nan
nan 9 8 7 6 7 8 9 9 9 9 8 8 8 9 10 11 11 11 11 11 12 11 10 8 8 8 9 10 11 10 11 12 12 10 8 8 9 10 12 12 12 12 13 15 15 13 12 12 11 10 10 9 9 8 6 7 9 9 8 7 7 8 9 11 12 13 14 14 13 12 11 12 13 14 15 14 12 10 11 12 16 20 19 16 14 13 12 12 13 13 14 13 11 9 8 6 5 5 6 7 8 9 7 5 3 2 0 -1 -2 -1 4 6 8 6 6 6 6 6 nan
nan 8 7 7 7 8 8 9 9 8 7 8 9 9 10 10 11 11 11 12 13 12 11 9 7 7 8 10 11 12 12 11 12 10 6 6 7 10 12 12 12 11 10 11 14 14 12 11 11 10 9 8 9 10 10 7 6 8 10 10 9 9 9 8 7 6 8 12 14 14 14 12 10 10 12 14 15 13 11 11 11 13 19 21 16 13 12 12 13 13 14 14 15 15 14 13 11 10 7 6 6 7 8 8 7 5 4 2 -2 -5 -3 1 5 11 11 8 8 8 3 nan
nan 7 8 8 8 8 8 8 7 7 8 8 9 9 10 11 11 12 13 13 13 12 10 8 7 9 10 11 13 12 12 12 11 8 6 8 10 12 12 12 11 10 10 11 14 13 13 12 10 10 9 9 9 9 10 8 7 8 9 11 12 12 12 10 8 6 6 8 11 14 16 15 13 11 11 12 13 14 13 12 11 12 16 17 14 11 11 12 12 12 14 14 14 15 16 16 14 12 11 9 7 6 9 10 8 6 5 4 1 -2 -2 -2 0 5 10 12 12 11 5 nan
nan 8 9 9 8 8 8 7 7 7 8 9 9 10 11 12 12 13 14 13 12 10 8 8 9 10 11 12 12 12 12 11 9 8 8 9 10 11 12 11 11 10 12 14 14 14 13 12 10 9 8 9 9 9 10 9 6 6 9 11 12 12 11 11 11 10 9 8 9 11 15 16 16 15 13 13 13 14 14 13 12 12 13 13 12 12 13 12 11 11 12 12 12 13 15 16 15 13 12 10 7 6 9 13 12 10 8 7 5 3 2 1 -3 -2 2 4 7 11 9 nan
nan 9 9 9 8 8 8 7 7 7 8 9 10 11 11 11 11 13 13 11 9 9 8 8 9 10 10 11 11 12 11 11 10 10 9 9 10 11 12 12 13 13 14 16 15 14 13 11 10 9 9 9 9 9 12 9 5 6 10 12 12 12 11 11 12 12 12 10 9 9 10 12 14 14 14 15 15 13 13 13 12 12 11 10 10 13 14 13 12 11 11 11 11 12 14 16 16 15 14 12 9 8 9 11 12 13 12 10 9 8 6 3 -2 -6 -2 2 4 7 7 nan
nan 9 9 9 9 8 8 7 7 7 8 10 11 12 10 9 11 13 13 11 9 9 9 9 9 10 10 11 11 11 12 12 11 10 9 9 9 10 11 12 13 14 15 15 15 14 13 11 11 10 10 10 10 11 12 7 5 7 11 13 13 13 13 13 13 13 13 11 10 8 7 8 10 10 11 12 14 14 13 13 12 12 12 11 9 10 13 13 12 11 11 11 11 11 13 16 17 17 15 14 12 10 11 11 12 12 13 13 12 10 7 5 1 -1 1 4 7 7 7 nan
nan 9 9 9 8 8 8 7 7 7 8 10 11 10 9 9 12 14 13 11 11 10 11 11 11 11 11 11 11 11 12 12 10 9 8 8 9 9 11 12 12 12 13 13 13 13 12 11 11 11 11 12 13 15 14 9 7 11 15 14 14 12 12 12 13 14 13 12 11 9 8 8 8 9 9 10 11 12 13 13 12 11 12 11 10 10 13 13 11 9 11 12 12 11 11 13 17 17 16 15 14 13 12 12 13 12 13 13 13 12 9 8 7 6 6 7 8 9 9 nan
nan 10 9 9 8 8 7 7 7 8 9 10 10 9 10 11 13 13 12 11 11 11 11 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 11 10 11 11 11 11 11 11 11 11 11 11 12 14 17 21 21 19 18 20 21 18 15 13 12 12 13 13 12 12 12 11 10 9 10 10 10 10 10 11 11 13 13 11 12 12 12 13 15 14 9 5 8 11 13 12 10 10 12 14 14 15 14 13 13 12 13 13 14 15 16 15 12 8 7 8 9 9 8 9 9 nan
nan 10 9 9 8 7 6 7 7 8 9 10 10 11 11 11 12 13 12 10 10 11 10 9 8 8 9 11 12 12 11 10 10 9 9 8 9 10 10 10 10 11 12 13 12 12 11 10 10 11 13 16 20 26 29 28 29 29 26 22 19 17 14 13 12 11 11 11 12 11 10 10 10 10 10 10 11 11 12 13 14 14 13 13 14 16 18 16 12 7 6 8 10 11 11 9 9 10 10 12 13 13 13 12 11 12 15 19 19 17 13 9 7 7 8 8 8 8 8 nan
nan 10 10 9 8 7 6 7 8 8 9 9 10 10 11 12 13 12 10 9 11 12 10 9 7 7 9 11 12 12 12 11 10 9 9 9 9 9 9 11 11 11 12 14 14 13 11 10 10 13 16 19 20 23 25 26 26 26 26 24 21 19 16 14 13 11 10 11 12 14 13 13 12 10 10 10 10 9 10 13 15 15 14 13 15 18 19 18 14 11 9 6 6 8 10 10 9 9 9 10 10 11 12 11 9 7 10 19 22 18 15 12 9 7 7 8 9 7 7 nan
nan 9 9 9 8 7 6 7 8 9 9 9 10 10 11 13 14 10 8 9 12 12 11 9 8 8 10 11 11 11 11 11 10 9 8 8 9 8 9 10 11 11 12 14 15 15 12 10 12 13 15 16 14 13 14 15 17 20 24 24 21 18 17 16 14 13 12 12 12 14 16 16 15 12 11 11 9 7 7 9 11 12 14 14 16 18 18 17 16 15 11 7 4 7 9 9 9 8 9 7 7 8 10 11 9 7 7 15 23 21 18 16 13 12 11 10 10 9 8 nan
nan 9 9 8 8 7 7 8 9 10 10 10 11 11 11 13 13 9 8 9 12 13 11 9 9 9 10 11 11 11 11 11 10 9 8 8 9 9 9 9 10 10 11 14 17 17 13 12 11 10 9 8 7 7 8 11 14 18 22 23 21 18 15 14 14 14 14 13 12 12 14 16 15 14 14 13 10 6 5 5 6 8 10 13 17 19 18 17 16 15 12 7 5 7 8 8 8 7 6 6 5 5 7 8 9 7 7 11 19 24 25 23 20 18 17 16 15 15 16 nan
nan 9 9 9 8 8 8 8 9 9 9 8 10 11 11 13 12 10 9 10 12 13 11 10 10 11 12 12 11 11 11 12 11 10 10 10 10 10 9 9 8 9 11 13 17 18 15 11 8 5 5 6 6 7 8 9 13 17 20 20 20 18 17 15 15 15 15 15 13 13 13 14 14 16 18 17 13 7 4 4 4 5 7 10 15 19 18 16 15 14 12 8 7 8 8 8 8 9 8 6 4 4 5 5 5 5 6 13 16 19 21 22 23 22 21 19 18 18 20 nan
nan 9 9 8 8 9 9 8 8 7 6 8 10 12 12 12 10 9 9 11 12 12 11 12 13 14 13 11 10 11 12 12 11 11 11 11 11 10 8 8 9 10 11 12 15 15 13 9 6 5 5 7 8 8 7 8 12 15 17 18 19 20 18 16 14 14 14 14 14 15 14 14 15 17 20 21 18 12 7 4 3 3 5 9 13 17 17 15 14 14 13 11 8 7 8 9 9 10 10 8 6 5 4 5 4 4 8 14 14 11 12 13 15 17 18 18 16 16 18 nan
nan 9 9 8 8 9 9 8 7 6 8 11 13 14 12 10 9 8 9 10 12 13 13 13 14 13 12 11 10 10 10 10 11 11 12 11 11 10 10 10 11 12 11 11 12 12 10 7 6 5 7 9 9 8 6 7 11 13 15 16 18 20 19 16 13 12 12 12 13 14 14 13 15 16 19 22 24 21 15 9 5 3 3 7 11 14 15 15 13 13 15 11 5 5 7 9 10 10 11 11 10 8 7 5 5 7 15 17 15 11 7 6 7 9 10 11 12 13 14 nan
nan 8 8 7 8 9 9 8 7 8 11 13 14 11 9 7 8 9 10 11 13 14 14 13 12 11 10 10 9 8 8 10 11 12 11 10 10 11 12 12 12 11 11 11 11 10 8 7 6 6 8 9 10 9 7 7 8 11 13 15 17 19 19 17 15 12 11 12 12 12 11 11 13 14 15 17 24 28 26 20 13 7 4 6 8 11 13 14 13 13 15 11 4 2 4 7 10 11 12 13 13 12 10 7 5 11 14 16 15 13 9 6 6 8 8 5 8 9 10 nan
nan 8 7 7 8 8 8 8 9 11 13 13 11 8 8 9 9 10 11 13 14 13 11 10 10 10 9 9 7 7 8 11 12 12 11 11 10 10 11 10 10 10 11 11 11 10 8 7 7 7 7 9 10 10 9 7 6 8 10 13 14 16 18 19 19 17 14 13 12 11 10 10 11 13 14 14 17 23 29 30 24 16 11 8 7 8 10 12 13 14 14 11 6 1 0 5 9 11 11 11 12 14 14 10 9 12 13 14 15 14 10 9 8 9 10 8 7 8 13 nan
nan 8 8 7 8 8 9 10 12 13 12 10 8 8 9 10 10 11 12 13 14 12 10 9 9 10 9 7 6 7 9 12 13 13 12 11 10 10 10 10 11 12 12 11 11 10 9 8 8 7 7 8 10 10 10 8 6 7 9 11 13 15 16 18 19 20 18 16 14 13 12 11 10 11 12 12 13 16 24 30 28 21 17 13 10 9 9 11 13 15 16 14 8 0 -0 5 9 11 11 9 8 10 13 11 16 14 14 13 19 19 11 9 9 11 11 11 11 12 16 nan
nan 9 8 8 9 11 11 11 10 10 9 8 8 9 9 10 11 12 13 15 14 10 8 8 9 9 9 8 8 9 11 13 13 13 13 11 11 12 11 11 12 14 14 12 10 10 10 10 10 9 8 8 10 11 11 8 6 8 10 11 12 14 15 15 16 17 18 17 16 15 14 13 11 10 10 11 13 16 22 25 23 18 16 15 13 11 10 11 12 14 18 18 12 -0 -3 5 8 11 13 12 8 6 8 12 15 14 11 10 19 22 15 10 10 12 16 16 15 15 16 nan
nan 9 9 9 9 10 10 9 8 7 8 9 10 10 11 11 12 14 15 16 12 8 7 8 11 11 10 10 10 11 11 12 12 13 12 12 12 13 12 12 13 15 15 14 10 9 11 13 13 12 10 10 10 11 11 8 7 7 8 10 10 12 12 12 13 15 17 17 16 15 15 14 13 11 10 11 13 15 24 26 19 14 13 13 13 13 12 11 11 12 16 18 16 2 -4 3 7 8 13 15 13 8 5 5 1 5 7 10 15 18 16 13 11 12 15 17 16 14 13 nan
nan 9 9 9 9 9 8 7 7 8 9 10 11 12 13 13 13 14 15 13 10 8 8 11 13 13 12 11 11 10 10 11 11 11 12 12 14 14 13 13 14 15 16 16 12 9 10 13 16 17 13 11 10 10 10 8 6 5 6 8 9 10 10 8 11 14 15 15 15 14 13 13 13 12 12 13 13 13 21 28 21 16 13 12 13 12 12 13 11 11 12 15 15 7 -0 2 5 7 9 14 15 14 11 0 -6 -2 5 11 13 15 15 14 11 10 10 11 11 10 10 nan
nan 8 8 8 8 8 8 7 7 9 10 11 12 12 13 13 12 12 13 11 10 10 11 14 15 14 13 11 11 11 10 10 10 11 13 13 14 14 14 13 13 13 14 16 15 11 9 9 14 17 15 13 10 9 9 8 6 3 2 4 6 7 7 7 10 13 14 14 14 14 13 12 11 12 13 13 13 14 20 26 23 19 15 13 13 13 13 13 13 12 12 14 14 9 3 1 6 10 10 15 15 17 16 7 -1 -4 4 11 12 12 12 12 11 10 8 8 9 8 7 nan
nan 7 7 7 8 8 8 8 8 9 10 12 12 12 12 13 13 14 14 13 12 13 14 16 16 15 13 13 11 10 10 10 10 11 12 13 13 13 12 12 12 12 12 15 17 15 11 8 10 14 14 12 10 9 7 6 6 6 3 1 3 6 6 7 10 14 15 14 14 15 14 12 11 11 10 10 11 15 21 25 23 20 16 14 13 13 13 14 14 14 14 12 9 9 8 6 10 17 20 25 26 25 21 15 6 -0 4 11 11 11 12 12 12 11 10 11 12 11 8 nan
nan 7 7 7 9 9 9 9 9 10 10 11 11 11 12 14 15 15 15 14 14 15 16 17 16 15 14 12 10 10 10 11 10 10 12 13 12 11 11 12 12 12 12 13 15 14 13 11 11 11 10 9 8 8 8 7 7 8 8 7 8 8 8 7 10 13 15 15 15 15 14 14 12 10 8 8 7 10 17 22 21 17 14 14 14 14 13 14 15 15 15 7 1 7 15 22 25 28 29 29 29 29 27 21 13 9 10 11 11 11 12 13 14 16 14 12 14 13 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
30 25 18 11 5 2 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 4 6 11 17 23 27 28 26 23 18 12 8 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 0 0 0 0 0 0 0 0 0
25 27 27 22 14 7 2 1 0 1 2 3 4 5 6 6 6 5 6 8 7 5 5 8 13 19 26 31 33 34 31 27 21 15 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
16 18 21 24 25 21 14 8 5 5 7 10 13 16 15 14 12 11 12 14 14 10 7 7 9 13 18 26 32 38 41 39 34 28 21 15 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 8 11 18 28 33 31 25 18 14 14 19 29 37 36 29 24 22 23 24 22 18 13 9 7 8 12 17 25 35 44 48 46 39 32 25 19 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 15 24 34 42 42 37 29 25 30 46 61 64 56 47 41 40 38 35 29 21 14 9 7 8 11 16 26 39 50 55 50 42 35 29 22 16 11 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 0 0 0 0 0 0 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 12 14 20 27 39 46 48 48 46 48 56 72 83 81 72 63 58 53 50 42 30 21 15 11 9 10 12 18 29 45 58 59 50 44 38 32 26 20 14 9 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 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 10 15 19 30 41 51 59 68 76 64 53 62 77 84 82 73 68 62 51 41 32 25 19 15 13 12 15 22 35 51 61 57 51 46 39 32 26 19 14 10 7 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
2 3 3 2 4 10 16 28 44 60 72 84 75 50 33 38 60 79 84 80 70 60 51 43 36 30 24 20 16 16 20 28 40 52 58 58 53 46 38 29 21 16 11 8 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
2 3 3 1 0 2 6 11 22 36 50 59 62 53 38 28 34 58 80 86 80 71 61 54 47 41 34 26 21 18 19 24 32 41 50 57 58 54 46 36 27 18 12 8 6 4 3 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
2 3 4 2 1 2 4 5 6 8 15 26 35 38 38 38 42 52 69 82 84 80 73 65 58 50 41 32 24 20 18 20 25 33 43 52 58 58 53 43 34 25 16 10 7 5 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 4 4 5 7 8 13 18 24 32 46 62 73 82 89 91 86 76 68 60 49 38 28 22 18 17 20 26 34 44 52 56 55 47 39 30 21 16 12 9 6 5 4 4 5 5 4 3 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 3 3 3 4 4 4 4 4 6 9 14 27 48 70 87 99 102 96 86 78 71 59 46 35 26 20 17 16 19 24 32 40 46 48 45 39 32 27 22 18 14 10 8 7 7 7 7 6 4 3 3 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 0 0 0 0 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 3 3 4 4 4 4 5 8 19 42 69 89 101 103 97 89 78 65 54 42 32 23 18 15 14 16 21 27 33 37 38 38 36 34 30 27 22 18 14 12 10 9 9 8 6 5 5 4 4 5 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 1 2 2 3 4 4 4 4 6 14 33 55 75 89 96 91 77 64 54 45 35 26 19 15 13 12 13 17 23 29 33 36 38 39 38 36 32 28 23 19 16 14 13 12 11 11 10 8 6 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 0
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 3 9 22 39 58 72 78 70 60 52 43 34 24 18 15 13 11 10 10 14 20 26 32 36 39 42 42 40 36 31 27 24 22 20 19 19 18 16 14 12 9 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 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 3 10 21 32 37 46 52 52 48 42 34 25 18 13 11 10 9 10 10 14 18 23 27 32 36 39 40 39 37 35 32 30 29 28 25 22 20 18 16 13 10 7 4 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 2 8 15 18 13 17 28 34 36 34 30 26 19 13 8 7 8 9 10 10 12 14 17 20 23 27 31 34 36 38 38 37 37 35 31 26 23 21 18 14 10 8 6 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 1 4 8 7 3 4 9 14 18 21 22 22 19 14 10 8 9 10 9 8 8 8 8 9 10 13 17 22 28 33 38 40 42 40 37 32 27 23 19 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 8 12 18 22 22 18 13 10 10 12 12 10 8 6 4 3 2 3 6 11 17 23 30 37 42 44 42 37 31 26 22 16 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 7 16 26 30 27 20 13 11 11 13 12 10 7 5 3 2 1 1 3 7 13 20 28 36 41 43 41 35 30 25 20 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 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 8 22 31 32 28 21 16 13 13 13 12 10 7 6 6 6 4 3 3 5 10 17 25 33 40 42 39 35 31 27 22 18 12 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 0 0 0 0 0 0 0 0
0 0 0 0 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 10 20 27 29 28 25 21 18 16 14 12 10 9 12 15 15 12 8 4 5 10 17 24 32 38 42 40 37 34 31 26 20 14 9 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 0 0 0 0 0 0
0 0 0 0 0 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 8 14 19 24 27 28 28 26 23 20 18 17 21 25 26 23 18 11 8 8 13 19 25 32 38 41 42 42 39 35 29 23 18 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 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 10 16 23 29 33 35 34 32 32 34 34 33 30 27 21 16 13 14 18 22 26 32 37 41 43 44 42 38 33 29 26 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 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 2 8 16 27 37 45 47 48 47 43 39 35 33 30 26 22 19 19 21 23 28 33 36 39 42 43 40 38 38 38 33 23 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 14 28 44 55 60 59 53 46 41 39 37 34 31 27 23 21 24 28 33 35 37 39 40 38 37 37 37 32 22 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 0 0 0 0 0 0 0 0 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 12 26 47 63 69 66 58 50 45 42 39 36 31 27 25 27 32 36 39 40 41 39 36 34 31 26 19 12 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 22 48 70 76 68 56 48 43 40 37 32 28 29 32 36 40 43 44 43 40 36 32 26 18 9 5 5 7 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 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 1 4 22 49 67 66 55 47 42 40 38 34 33 36 41 44 45 47 48 46 42 37 31 25 16 8 6 9 13 14 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 1 2 2 1 1 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 4 15 31 36 31 30 32 36 38 40 45 51 55 55 54 52 52 50 44 37 30 25 20 17 16 18 21 21 14 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 0 0 1 1 1 1 2 2 2 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 1 3 4 5 6 9 17 29 40 49 57 62 63 60 54 51 49 43 36 28 22 21 22 24 25 26 27 23 15 8 4 3 3 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 1 1 0 0 0 1 1 1 1 1 2 3 3 4 3 3 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 3 12 27 37 47 56 61 60 53 48 44 40 32 23 18 17 17 18 20 23 27 28 24 18 12 9 10 11 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 1 1 1 1 2 2 1 0 0 0 2 3 4 4 5 5 3 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 1 4 11 21 32 44 56 61 54 46 40 34 28 19 13 11 10 10 11 16 24 28 27 22 17 14 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 1 1 2 2 2 2 1 0 0 0 1 1 2 3 4 5 4 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 1 3 8 13 19 29 42 56 56 47 37 30 24 17 11 7 4 3 4 9 19 26 27 23 19 18 19 16 9 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 2 2 2 2 1 1 0 0 0 0 1 3 4 5 5 4 3 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 15 18 17 14 18 35 47 46 37 29 24 22 15 8 3 0 0 5 13 21 26 27 26 25 24 19 11 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 2 2 2 2 2 2 1 1 0 0 1 1 2 4 5 5 5 3 2 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 22 30 29 18 10 16 30 40 40 34 25 22 16 9 3 0 0 2 7 14 20 26 32 33 30 22 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 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 2 2 1 1 1 1 1 2 4 5 6 5 4 2 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 18 31 39 35 23 18 24 35 44 43 32 22 14 8 3 0 0 0 3 7 11 18 26 31 31 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 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 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 5 4 3 2 2 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 21 33 40 37 35 36 42 48 49 37 25 15 8 2 0 0 0 1 2 4 9 17 24 26 21 10 1 0 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 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 5 5 4 3 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 4 9 18 29 42 47 47 48 50 48 35 23 13 6 1 0 0 0 0 0 0 2 8 16 21 19 7 2 3 8 11 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 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 3 3 4 4 5 5 4 4 3 2 3 2 2 3 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 1 2 6 15 37 54 60 57 53 41 28 16 8 3 0 0 0 0 0 0 0 0 1 7 16 19 9 4 6 12 16 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 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 3 3 3 2 2 1 1 2 2 1 0 0 0 0 0 0 0 0 3 18 38 54 58 52 37 23 12 5 1 0 0 0 0 0 0 0 0 0 5 16 24 19 11 6 6 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 0 0 0 1 2 2 2 2 2 2 2 2 2 3 3 4 4 3 2 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 3 2 2 2 2 2 2 0 0 0 0 0 0 0 0 7 22 38 48 41 35 26 18 12 6 2 1 0 0 0 0 0 0 2 8 21 32 31 21 10 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 2 2 2 3 3 3 3 3 4 4 4 3 2 2 2 2 2 3 3 3 4 4 4 5 5 5 4 4 4 4 4 5 5 3 3 3 3 3 2 1 0 0 0 0 0 1 4 12 25 42 39 39 38 35 30 21 13 8 4 1 0 0 0 0 1 6 15 22 24 20 13 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 1 2 2 3 3 4 4 4 3 4 4 4 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 3 4 4 5 6 5 4 4 4 5 5 4 2 1 1 1 1 1 2 5 11 24 27 32 36 39 38 32 24 17 10 4 0 0 0 0 0 1 4 5 6 7 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 0 0 0 0 0
0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 4 4 5 5 4 3 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 4 4 3 2 1 1 2 1 0 0 0 2 6 10 14 18 23 25 23 18 14 9 4 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 0 0 0 0 0 1 2 4 5 6 6 6 6 6 6 5 4 2 2 2 2 2 2 3 2 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 1 1 0 0 0 1 0 0 0 0 0 0 1 2 4 7 9 10 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 0 0 0 0 0 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 8 8 8 8 7 5 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 3 3 3 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 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 0 0 0 0
0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 8 8 8 9 9 8 6 4 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 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 1 2 3 4 6 7 8 8 9 9 8 6 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 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 1 2 2 3 4 5 6 8 8 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 5 4 4 4 4 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 1 2 3 3 4 5 6 7 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 3 2 2 2 2 2 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 2 4 5 6 7 8 9 9 7 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 1 2 3 4 4 5 6 7 8 8 8 8 8 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 3 3 2 2 2 3 3 3 2 2 1 1 1 1 2 2 4 5 3 2 2 1 0 0 0 0 0 0 0 2 4 6 7 9 12 14 14 11 7 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 1 2 4 4 5 5 6 7 8 8 8 9 9 8 6 5 5 4 5 5 5 6 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 4 6 4 3 3 2 1 0 0 0 0 0 0 1 3 5 7 9 12 16 17 15 12 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 0 0 0 0 0 0 0 0 1 2 4 4 5 5 6 7 8 8 8 8 8 8 6 5 4 4 4 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 1 2 2 3 3 3 4 3 3 2 1 0 0 0 0 0 0 1 4 8 12 14 16 17 15 12 10 8 6 3 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 2 3 4 4 5 5 6 7 8 8 8 8 8 7 6 5 4 4 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 2 2 2 1 0 0 1 2 3 4 4 4 4 3 2 1 1 0 0 0 0 0 0 2 6 11 15 17 16 13 9 8 8 7 5 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 1 2 4 4 4 5 6 7 7 8 8 8 8 8 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 1 1 1 0 1 2 3 4 5 5 4 3 2 2 2 2 1 0 0 0 0 0 0 2 6 11 16 16 12 7 4 3 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 2 3 4 5 5 6 7 7 8 9 10 9 8 7 6 5 5 5 6 6 6 5 5 5 4 4 5 5 5 4 4 4 4 3 3 3 3 3 2 1 1 1 1 1 2 3 4 5 6 6 5 3 2 3 3 2 2 1 0 0 0 0 0 0 0 5 11 14 13 8 3 1 1 1 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 1 2 3 4 5 6 7 7 8 9 11 10 9 7 6 5 5 5 5 6 6 6 5 4 3 3 4 5 5 4 4 3 3 3 3 3 3 2 2 2 1 1 1 2 4 6 7 7 7 7 6 4 4 4 4 3 2 0 0 0 0 0 0 0 0 2 4 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 1 2 4 5 5 6 7 8 9 11 11 10 8 7 6 5 5 6 6 5 5 5 3 2 2 2 4 4 4 4 3 3 3 3 3 3 2 2 2 0 0 1 3 6 8 8 8 7 7 6 6 6 5 4 3 2 0 0 0 0 0 0 0 0 0 1 3 6 6 3 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 1 2 4 4 4 6 6 7 8 10 11 10 9 8 7 6 5 5 5 5 6 5 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 1 0 1 2 5 7 9 10 9 8 6 5 5 5 5 4 2 2 1 1 0 0 0 0 0 0 0 0 0 2 3 3 1 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 1 2 3 4 5 6 6 7 7 9 10 9 9 9 8 7 6 5 5 6 6 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 1 2 2 3 5 8 10 11 11 9 7 6 4 5 5 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 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 1 2 4 4 5 6 7 7 9 10 9 9 9 9 9 7 6 6 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 1 0 0 1 2 4 6 10 13 13 12 10 7 5 5 6 6 4 4 4 4 3 2 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 1 2 3 3 4 5 7 8 10 11 11 11 10 9 9 8 6 6 4 3 2 1 1 2 2 2 2 3 3 3 3 3 3 3 3 2 1 0 0 0 1 2 5 9 13 15 14 12 9 7 6 6 6 6 6 6 5 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 1 1 2 2 2 3 4 5 6 9 11 13 13 12 11 10 9 8 6 5 4 2 1 1 1 1 1 1 2 2 3 3 3 3 3 3 2 1 0 0 0 0 0 2 4 8 12 15 16 14 11 9 7 6 6 6 6 6 5 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 0 0 1 1 2 2 2 2 2 4 5 7 10 12 13 13 13 12 10 9 6 5 4 3 2 2 1 0 1 1 1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 1 4 7 10 14 16 15 13 11 9 7 6 5 6 6 6 6 5 4 3 2 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 2 2 3 3 3 3 3 4 5 8 11 13 13 12 12 12 10 8 5 2 2 2 2 2 1 0 0 0 0 0 0 1 2 2 2 1 1 1 1 0 0 0 0 0 0 2 6 9 12 16 17 14 13 12 10 8 7 6 6 6 6 6 5 4 3 1 1 1 1 0 0 0 0 0 0 0 0 1 2 2 1 0 2 5 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 0 0 0 0 2 3 3 3 4 3 4 5 6 8 11 13 13 12 11 12 10 7 4 1 1 2 1 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 1 1 0 0 0 0 0 1 6 9 12 15 17 18 17 16 13 11 9 7 6 6 6 6 5 5 4 3 2 2 2 2 2 2 2 1 0 0 0 2 3 4 2 1 2 5 10 9 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 1 2 2 3 3 4 4 4 5 6 8 11 13 13 12 11 11 9 6 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 1 0 0 0 0 5 9 11 14 17 18 19 19 17 15 12 10 8 6 6 6 6 5 5 4 3 2 2 2 3 4 4 4 3 2 2 3 4 5 4 2 0 2 9 11 9 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 1 2 2 2 3 4 4 5 5 6 8 11 13 13 13 12 11 8 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 1 0 0 0 4 8 11 13 14 16 17 19 19 18 16 13 11 9 7 6 6 6 5 5 4 3 2 1 2 3 4 5 5 4 4 4 6 7 6 3 0 0 6 10 11 9 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 1 2 2 2 3 4 4 5 5 6 8 12 13 14 13 12 10 8 5 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 2 2 1 1 2 6 10 12 12 12 12 14 18 18 16 15 13 11 9 7 6 5 6 7 6 4 3 1 0 1 2 4 6 7 7 9 13 13 11 7 2 0 3 7 9 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 1 2 3 2 2 2 3 3 3 4 5 6 9 12 14 14 13 12 11 7 4 1 1 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 3 2 1 1 1 2 6 8 9 9 9 13 15 15 15 13 12 10 7 4 4 5 6 7 6 4 2 1 0 1 2 6 9 13 17 21 20 16 12 6 1 1 3 5 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 1 3 4 3 2 2 2 2 3 3 5 6 9 13 14 14 13 12 10 6 2 1 1 2 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 3 2 1 0 0 0 3 7 8 8 11 13 14 14 13 13 12 10 6 5 6 6 6 5 3 2 1 0 0 0 4 10 16 22 24 23 20 16 9 3 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 2 4 5 4 3 3 2 3 3 3 5 7 10 14 15 14 12 11 9 5 2 1 1 2 3 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 4 3 1 0 0 0 2 5 8 9 10 12 13 14 14 14 13 13 13 10 7 6 6 6 4 2 1 0 0 0 2 7 14 21 24 23 20 16 13 7 2 1 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 2 5 5 5 4 3 3 3 3 3 4 7 13 16 16 14 12 10 6 3 1 1 2 2 3 4 5 5 5 3 1 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 4 4 3 1 0 0 0 3 6 8 8 9 10 11 12 13 14 14 14 14 10 7 5 5 5 4 2 0 0 0 0 0 2 6 14 19 21 20 15 15 12 8 4 1 0 0 0 1 1 1 2 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0