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 10 9 7 5 6 8 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 13 15 17 18 17 16 15 14 14 13 11 9 7 7 6 6 6 6 5 5 5 5 6 7 8 8 8 9 9 9 9 9 9 9 10 9 9 10 11 11 11 11 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 12 12 12 12 12 13 15 15 15 15 15 15 nan
nan 11 10 9 7 5 7 8 9 8 7 7 8 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 10 10 12 14 16 18 18 16 15 14 14 13 11 10 8 8 7 7 6 6 6 5 5 6 6 7 7 7 7 7 8 8 7 8 8 9 9 9 10 12 12 13 12 13 13 13 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 14 14 15 15 14 nan
nan 11 12 11 9 7 6 8 10 10 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 12 13 15 17 18 17 16 15 14 12 11 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 10 11 12 13 13 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 13 14 14 14 14 nan
nan 10 11 12 11 9 7 8 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 13 16 17 18 17 16 14 13 12 11 10 9 7 7 7 7 6 6 7 7 7 6 6 6 6 7 7 7 6 7 7 8 8 9 10 11 11 12 13 13 13 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 12 13 13 13 13 nan
nan 9 10 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 12 14 16 17 18 17 15 13 12 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 11 11 11 11 12 12 13 13 13 13 nan
nan 8 9 10 11 12 12 12 11 9 8 8 8 8 8 8 8 9 8 8 9 9 9 10 10 10 9 9 9 9 8 8 9 10 11 11 12 13 15 17 16 15 13 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 10 9 9 9 10 11 11 11 12 12 12 12 12 12 11 11 11 10 9 8 8 8 8 8 9 9 8 9 9 10 10 10 11 12 12 13 13 14 14 nan
nan 9 10 10 11 11 12 11 10 10 9 9 8 8 7 6 7 7 7 8 8 8 9 10 10 10 9 8 8 8 8 9 10 11 11 10 10 11 14 15 15 15 14 12 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 9 9 9 10 11 12 13 13 13 13 13 14 13 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 14 14 14 nan
nan 10 10 11 11 11 11 10 10 9 10 10 9 8 7 6 6 6 6 7 7 7 8 9 10 10 9 8 8 8 9 11 12 11 11 11 11 12 14 15 16 16 15 14 13 13 13 12 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 12 13 14 14 14 13 14 14 14 14 13 12 11 10 10 9 9 9 8 8 7 7 7 7 8 8 8 8 9 11 12 13 14 14 14 nan
nan 11 11 11 11 11 10 9 9 9 10 10 9 9 8 8 7 7 7 7 6 6 7 8 9 9 9 9 9 10 11 11 11 11 11 11 11 12 13 13 14 14 15 14 14 14 14 14 13 13 13 13 12 11 11 11 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 11 12 13 14 14 14 13 13 14 14 13 13 12 12 11 11 10 9 9 9 8 8 7 7 7 7 8 7 7 8 8 10 11 13 13 14 14 nan
nan 10 10 11 11 11 10 9 9 10 11 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 13 12 11 11 12 11 10 10 10 9 9 10 9 9 8 7 7 6 6 6 6 7 7 8 9 11 12 13 14 14 13 12 13 13 12 11 12 13 13 12 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 nan
nan 10 10 11 11 12 11 10 9 9 10 10 10 11 11 10 10 10 10 9 9 8 8 7 7 7 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 13 13 13 12 11 11 11 11 10 10 10 9 8 7 6 6 6 6 7 8 8 9 10 11 12 13 13 12 12 12 11 10 10 12 13 14 13 11 10 10 10 11 11 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 12 nan
nan 10 10 10 11 11 11 10 9 8 8 8 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 8 9 9 11 12 13 14 13 13 13 13 13 12 12 12 12 11 9 9 8 8 8 8 8 8 8 8 10 11 11 11 10 11 10 10 9 11 13 14 14 12 11 10 10 10 11 10 10 10 10 11 11 11 10 9 8 7 7 7 8 8 10 11 nan
nan 10 9 9 10 10 10 10 9 8 8 8 9 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 11 11 11 11 12 12 12 11 12 13 13 14 15 15 15 16 16 16 16 16 15 15 14 13 11 9 8 8 7 7 8 8 9 9 9 9 9 9 9 10 11 13 13 12 10 9 9 9 9 9 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 8 10 nan
nan 9 9 9 9 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 11 12 14 15 16 17 17 16 14 13 13 14 14 15 17 17 18 18 19 19 19 20 21 20 18 15 12 9 8 8 7 6 6 6 6 7 7 8 8 9 10 11 12 11 10 8 7 7 8 8 7 7 7 8 9 9 9 9 9 9 8 7 7 6 6 7 8 9 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 10 12 13 14 15 16 17 16 14 13 13 13 13 14 15 17 18 19 20 21 21 22 23 22 21 19 16 13 11 9 7 5 4 3 4 5 6 7 7 8 8 9 9 9 8 7 6 7 7 6 6 6 7 8 9 9 9 10 10 10 9 7 6 6 6 6 7 8 nan
nan 11 11 11 11 10 10 10 10 11 11 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 9 10 10 10 11 11 11 11 11 12 11 10 10 10 10 10 11 13 15 17 18 20 20 19 19 19 20 20 19 17 14 10 7 4 2 1 2 3 5 6 6 6 7 7 8 7 7 7 7 6 6 5 4 5 6 7 9 10 11 11 11 10 9 7 6 6 6 6 7 7 nan
nan 12 12 12 11 10 10 10 10 11 11 11 11 10 9 9 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 10 10 10 10 9 8 8 8 8 9 9 8 8 8 9 9 9 9 11 13 14 15 15 15 15 16 18 20 19 18 15 11 8 6 4 2 2 3 4 5 5 5 6 6 7 7 7 6 6 5 4 4 4 5 6 8 10 11 11 11 11 10 8 7 6 5 5 5 6 7 nan
nan 12 12 11 10 9 9 9 10 11 11 10 10 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 8 7 7 8 9 9 9 8 8 8 9 8 8 8 9 9 10 10 11 12 13 14 15 16 16 15 14 12 10 9 7 5 4 4 4 5 5 5 6 7 7 6 6 5 5 4 3 3 4 5 7 9 10 11 11 11 10 9 8 7 6 5 4 4 5 6 nan
nan 11 11 10 9 9 8 8 9 10 10 10 9 10 9 9 9 10 11 11 11 11 10 10 10 10 9 9 10 10 11 11 11 11 11 10 11 11 12 11 11 12 11 11 11 10 8 7 7 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 9 9 9 10 10 10 10 9 7 6 5 5 5 5 6 7 7 6 5 4 4 3 3 3 4 5 6 8 9 10 10 11 11 11 10 9 7 5 4 3 3 4 5 nan
nan 10 10 9 8 9 9 9 9 9 9 9 10 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 10 10 10 11 12 11 11 11 10 9 8 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 5 6 7 8 9 9 8 7 7 6 6 6 6 7 6 6 5 4 4 4 4 5 6 6 7 7 8 9 10 11 11 12 11 9 7 5 4 3 2 2 4 nan
nan 10 9 8 8 8 9 10 10 10 10 10 11 10 10 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 9 8 8 8 8 9 10 11 11 11 11 10 9 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 7 7 7 6 5 3 2 2 2 3 5 6 7 8 8 8 8 8 8 8 7 6 5 5 5 5 6 6 7 7 8 8 7 6 6 7 9 10 11 11 11 11 10 8 6 4 2 1 1 3 nan
nan 10 9 9 8 8 9 10 11 11 11 11 11 11 10 9 10 11 11 11 11 10 10 11 11 11 10 10 10 11 11 11 11 10 8 7 7 6 7 8 9 9 10 11 11 11 10 9 8 8 9 9 10 10 10 9 9 9 8 8 8 7 7 6 6 4 3 2 1 2 3 4 6 7 8 8 9 9 10 10 10 9 7 6 6 6 7 8 8 8 8 9 9 9 8 7 7 8 9 10 10 10 10 10 9 8 6 4 2 1 1 1 nan
nan 10 10 10 9 8 9 10 12 12 11 10 11 11 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 7 6 6 7 9 9 9 10 11 11 11 10 9 8 8 9 9 10 10 10 10 9 9 9 8 8 8 7 6 5 4 3 3 4 5 7 8 9 9 10 11 11 12 12 12 11 10 8 8 8 9 10 10 9 9 9 10 10 10 9 8 8 9 9 10 10 10 9 9 9 8 7 5 3 1 0 1 nan
nan 11 11 10 9 9 10 11 11 11 10 10 11 12 12 11 10 10 11 12 13 13 13 12 12 12 11 11 11 12 12 12 12 11 9 8 7 6 8 9 10 10 11 11 11 11 10 8 8 8 8 9 10 10 10 10 9 9 9 8 8 9 9 8 6 6 7 9 10 11 12 12 12 12 12 13 13 13 13 13 12 11 10 10 11 11 11 11 10 10 10 11 11 10 9 9 8 9 9 9 9 9 9 9 8 8 6 5 3 1 0 1 nan
nan 11 11 10 10 9 9 9 9 9 9 10 11 11 12 12 11 11 11 12 13 13 12 11 11 11 12 12 12 12 12 12 12 10 9 8 6 6 7 8 10 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 13 14 15 15 14 13 13 12 13 13 14 15 15 15 14 13 12 12 12 12 12 11 10 10 11 12 12 11 10 9 8 8 9 9 9 10 9 9 8 7 6 4 3 2 1 1 nan
nan 11 10 10 10 9 8 7 6 6 7 9 9 10 11 12 11 11 12 13 13 11 10 9 10 11 11 12 12 12 12 11 10 9 8 7 6 6 6 7 9 10 11 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 12 13 14 14 13 13 12 12 11 11 11 11 13 14 15 16 16 16 16 15 14 14 13 13 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 10 9 9 7 5 4 3 2 2 1 nan
nan 10 10 11 11 9 8 6 4 5 7 8 9 9 10 11 11 11 12 13 11 9 7 7 8 9 10 10 10 10 10 9 8 8 7 6 6 6 6 7 9 10 10 11 11 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 8 8 8 8 9 9 10 10 11 13 15 16 17 18 19 19 18 18 17 16 15 15 14 13 13 13 12 11 11 10 10 10 10 9 9 9 10 10 9 8 6 4 2 1 1 1 nan
nan 9 10 10 10 9 8 5 4 5 6 8 8 9 9 10 10 10 11 11 10 8 7 7 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 10 10 11 11 11 10 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 5 3 3 4 6 8 9 9 11 13 15 16 17 18 20 21 21 21 20 18 18 17 16 15 14 13 13 12 12 11 11 11 11 10 10 10 10 11 11 10 9 6 3 1 0 0 0 nan
nan 9 9 9 9 9 7 6 5 6 7 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 10 10 9 6 4 2 2 5 7 8 9 10 12 14 15 16 17 18 19 20 20 20 19 18 17 17 16 15 14 14 14 13 13 13 13 13 12 12 11 11 11 12 12 11 10 7 4 1 -0 -1 -0 nan
nan 8 8 8 7 7 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 11 10 11 11 12 12 12 12 12 13 14 13 12 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 9 7 5 3 3 5 7 9 10 12 13 13 13 13 14 14 15 16 17 18 17 17 16 16 15 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 11 9 6 3 0 -1 -1 nan
nan 7 7 7 6 5 6 7 8 9 9 9 9 9 9 10 11 12 12 12 12 11 11 12 12 11 11 11 11 11 11 12 13 13 13 13 13 13 14 14 13 11 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 9 8 6 3 2 4 6 9 11 12 11 10 9 9 10 10 11 12 13 14 15 14 14 13 13 13 13 14 15 15 16 16 15 15 15 14 13 13 13 13 13 13 12 11 8 4 1 -0 -1 nan
nan 6 6 5 4 4 6 7 8 9 8 8 9 10 11 11 12 13 13 13 12 12 13 13 13 13 12 12 11 11 12 13 13 13 13 13 13 13 14 14 13 12 10 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 3 2 3 4 7 9 8 7 6 6 6 7 8 8 10 11 11 12 11 11 10 10 11 12 14 15 16 17 17 16 16 16 16 16 16 15 14 14 14 13 12 10 6 3 0 -1 nan
nan 5 4 4 5 6 7 9 9 9 9 9 10 11 12 12 12 12 12 12 12 13 14 14 14 14 13 12 11 12 12 12 13 12 12 12 12 12 13 13 13 12 11 11 10 9 9 10 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 9 9 6 4 3 1 2 3 4 3 3 3 5 6 6 6 7 8 9 9 9 9 8 8 8 10 12 13 14 15 16 16 16 17 17 17 18 17 16 15 14 14 14 14 12 9 5 2 1 nan
nan 6 7 8 9 10 11 11 11 11 11 12 13 13 12 12 11 12 12 13 13 13 14 14 14 14 13 12 12 12 13 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 9 9 8 7 5 3 0 -2 -1 -1 -0 2 3 5 5 5 5 6 7 7 8 8 8 8 7 8 10 11 12 12 13 14 14 15 16 17 17 18 17 17 16 15 15 15 14 13 12 10 9 9 nan
nan 11 12 12 13 13 13 13 13 13 14 14 14 13 12 12 12 13 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 10 10 11 11 12 12 13 13 13 12 11 11 10 10 10 11 11 10 10 9 9 9 10 10 9 8 8 8 7 4 0 -2 -4 -4 -1 2 4 4 4 4 4 4 5 6 7 7 8 8 9 9 9 10 10 10 10 10 11 12 13 15 16 16 16 16 16 15 15 16 16 16 17 16 17 18 nan
nan 15 16 15 15 15 15 15 14 14 14 14 14 13 13 13 15 16 15 14 13 12 12 11 12 13 13 14 14 14 13 12 12 11 11 11 10 10 9 9 9 10 11 13 16 16 15 13 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 5 3 -0 -3 -3 2 4 5 4 3 4 4 4 5 5 5 6 7 8 9 9 10 10 9 8 7 7 8 10 11 12 13 14 15 16 16 16 17 18 21 22 22 21 20 18 nan
nan 17 17 17 17 17 16 16 16 15 15 15 15 15 16 17 18 18 17 14 12 11 11 11 12 14 14 14 14 13 13 12 12 12 11 10 10 10 10 9 8 8 10 13 17 17 16 13 11 10 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 8 7 6 3 1 3 6 8 8 6 6 7 8 8 6 5 4 5 6 8 9 10 11 11 9 7 6 5 6 8 9 10 11 13 14 15 16 18 19 22 24 25 23 20 16 13 nan
nan 16 16 16 16 16 16 16 16 15 15 15 17 18 19 19 20 19 17 15 13 13 13 13 14 15 15 15 14 14 13 13 13 12 11 11 11 11 10 7 6 6 8 13 15 16 15 13 10 9 9 10 10 10 11 11 11 11 11 12 11 10 10 9 9 8 8 8 8 7 6 8 11 11 9 9 10 12 12 10 8 5 4 5 6 8 9 11 12 11 10 8 7 6 7 8 8 8 9 10 12 14 16 18 20 23 24 23 20 16 12 10 nan
nan 13 13 13 13 12 12 13 13 13 12 13 15 16 17 18 17 16 15 14 14 15 15 15 15 15 15 15 14 14 13 13 13 12 12 12 12 11 9 6 3 3 7 11 14 15 14 12 10 9 9 10 10 10 10 11 11 12 12 11 11 10 9 9 8 8 8 8 9 9 10 11 11 11 10 11 12 14 14 11 8 6 5 6 7 9 10 12 12 12 11 9 9 9 9 9 9 8 8 8 10 12 15 17 21 23 23 20 17 13 11 10 nan
nan 10 9 9 9 9 10 10 10 9 8 8 8 9 10 11 11 11 12 12 14 15 15 15 15 15 15 14 13 13 13 13 13 12 12 12 12 11 8 4 2 2 6 9 12 13 13 12 11 10 10 10 10 10 10 11 11 12 12 11 11 10 10 9 8 7 8 9 10 10 11 10 10 10 10 11 12 13 12 10 7 6 6 8 9 12 14 15 14 13 11 10 10 11 12 12 11 9 8 7 8 10 12 16 21 23 22 18 15 13 11 10 nan
nan 9 9 9 9 10 10 10 9 7 4 3 3 3 4 6 7 8 9 10 11 12 13 13 14 14 13 13 13 12 12 11 12 12 12 12 12 10 7 4 2 3 6 9 12 13 13 12 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 8 7 7 8 9 10 10 10 9 9 9 10 10 10 11 11 10 8 7 9 11 15 18 18 17 15 12 11 11 12 13 14 14 13 11 9 7 7 8 10 14 18 19 18 16 14 12 11 10 nan
nan 11 11 11 11 11 10 10 9 7 5 3 3 3 4 5 6 7 8 9 10 10 10 11 12 13 12 12 12 11 11 10 10 11 12 12 11 10 7 4 3 4 6 9 11 12 12 12 12 11 10 10 10 10 10 11 11 12 12 12 12 11 9 8 7 8 9 9 10 9 9 8 9 9 9 9 9 10 10 9 8 9 12 15 19 19 19 17 14 11 11 13 15 16 16 15 14 12 10 9 8 8 9 10 12 14 13 12 12 11 11 11 nan
nan 13 12 11 11 10 10 9 9 8 7 6 6 6 5 5 5 6 7 8 9 9 9 9 10 11 11 11 11 10 10 10 10 11 11 12 11 10 8 6 4 5 6 8 10 11 11 12 12 11 10 10 10 10 10 10 11 11 12 12 11 10 9 8 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 11 13 14 15 16 15 13 12 13 15 18 19 18 17 16 15 14 12 10 10 9 8 8 9 10 10 10 11 11 11 11 nan
nan 13 12 11 10 10 9 9 8 8 8 8 8 7 6 5 5 6 7 8 8 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 9 8 6 4 4 5 7 8 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 14 17 18 18 17 16 15 15 15 13 12 11 10 8 8 9 10 10 11 10 9 10 10 nan
nan 12 11 11 10 10 9 9 9 8 8 8 8 7 7 6 6 6 7 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 6 4 3 3 3 6 8 9 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 11 12 13 14 14 14 14 14 15 15 16 15 14 12 10 9 10 11 12 12 11 9 8 7 7 nan
nan 11 11 10 10 10 9 9 9 8 8 8 8 7 7 6 6 7 8 9 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 7 5 3 3 2 4 5 8 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 11 11 10 10 10 9 9 9 10 10 10 11 11 10 11 11 11 12 13 15 15 13 11 9 8 10 13 14 15 15 13 10 7 5 4 nan
nan 11 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 9 10 10 9 9 9 10 11 11 10 9 8 9 8 8 8 9 9 8 6 5 3 3 4 6 8 9 11 11 11 11 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 9 7 7 11 15 17 18 19 19 17 13 9 5 3 nan
nan 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 10 10 11 10 9 9 9 9 9 9 10 10 10 9 7 6 5 5 5 6 7 9 10 10 9 10 9 9 9 8 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 8 8 9 13 18 21 22 22 23 22 20 16 13 10 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 10 9 8 8 7 7 8 8 8 8 8 7 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 10 11 15 19 22 22 23 23 23 23 21 20 18 15 13 nan
nan 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 8 10 10 10 10 9 9 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 7 7 8 9 9 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 15 16 17 17 17 18 19 20 21 21 20 18 16 nan
nan 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 8 7 8 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 17 18 18 17 16 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 11 10 8 8 9 10 11 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 13 13 14 15 15 nan
nan 8 8 8 8 8 8 9 9 8 8 9 9 10 11 11 12 13 12 12 11 9 9 9 10 11 11 12 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 nan
nan 8 8 7 8 8 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 9 9 10 10 10 11 11 11 12 12 13 13 13 13 14 14 13 13 12 11 10 10 10 11 12 13 13 12 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 nan
nan 8 7 7 8 8 9 9 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 13 13 13 12 11 9 9 9 10 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 nan
nan 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 10 9 9 9 10 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 nan
nan 9 9 9 9 10 10 10 11 11 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 9 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 10 10 11 10 10 10 10 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 12 12 12 12 11 10 10 9 9 10 11 11 11 10 10 11 11 10 10 9 10 11 11 11 11 11 11 11 11 11 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 11 10 10 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 11 11 11 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 12 12 12 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 nan
nan 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 12 12 11 12 12 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 13 12 13 13 14 13 12 11 11 10 11 11 11 10 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 13 12 11 10 9 9 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 14 15 14 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 13 13 13 13 13 13 12 11 10 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 14 15 15 15 15 14 11 11 10 10 11 11 12 12 13 13 13 14 14 14 13 14 14 13 12 11 11 11 10 10 9 10 10 11 11 11 11 10 10 11 10 10 10 10 10 11 11 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 1 1 3 7 14 24 25 23 21 21 23 23 18 13 9 7 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 2 7 22 58 107 156 198 216 229 239 244 246 244 236 223 206 185 157 128 100 76 54 26 7 2 5 8 5 23 26 30 40 49 50 56 64 73 84 92 98 106 111 104 87 76 71 69 67 63 83 76 74 83 91 86 77 66 62 56 68 82 91 92 85 77 78 82 88 105 144 177 204 226 239 247 234 234 240 242 224
0 1 1 2 6 14 23 27 27 26 25 30 30 25 18 13 10 8 8 8 8 7 5 3 2 2 1 2 2 2 2 3 5 8 9 18 41 83 150 197 224 243 258 264 274 277 272 260 237 209 173 137 107 83 58 34 17 8 9 16 5 19 33 39 41 48 51 58 66 75 85 81 88 96 94 91 70 61 53 48 48 35 39 49 59 67 67 60 54 50 47 41 49 61 76 87 88 87 87 91 96 108 128 150 173 194 208 215 217 224 242 264 269
1 2 2 2 4 11 20 27 30 29 30 33 33 30 25 20 17 15 15 16 17 16 13 10 8 7 6 7 8 8 8 8 8 10 12 18 30 60 133 191 235 270 288 290 300 305 298 279 247 217 181 143 109 87 61 42 27 14 4 7 2 9 26 41 40 44 48 53 62 73 73 80 86 80 82 95 91 71 43 31 28 23 26 33 32 34 34 30 23 18 22 28 33 37 39 56 65 71 78 90 90 94 103 115 132 149 164 177 188 199 223 258 286
2 4 6 3 3 9 17 25 30 29 29 30 31 32 32 27 24 21 21 23 24 23 20 18 16 13 11 11 12 12 12 12 12 14 17 20 25 54 112 178 241 297 303 308 321 335 334 307 270 237 203 164 119 94 72 55 40 25 8 2 1 4 16 27 36 44 48 51 51 62 71 82 95 88 77 90 99 83 46 34 24 17 15 22 15 15 14 12 9 11 15 16 16 13 18 28 34 39 50 56 63 71 76 80 93 105 119 133 149 167 196 228 255
4 6 7 4 2 5 11 18 24 22 22 23 25 27 28 26 23 22 24 27 27 27 25 21 18 15 13 13 13 14 15 14 14 15 18 21 25 49 93 156 233 302 313 320 335 356 363 338 299 258 219 182 141 112 90 72 55 35 17 5 1 4 11 15 23 30 40 43 44 53 67 81 108 94 90 98 97 91 59 36 23 16 0 1 3 4 4 2 2 3 4 5 4 3 5 8 9 10 18 23 31 39 47 50 59 66 76 90 110 136 169 201 225
7 8 9 6 4 4 7 11 14 13 14 15 18 20 21 20 19 20 23 24 24 24 22 18 15 14 13 13 11 11 12 13 13 13 16 18 23 40 75 132 216 288 332 349 344 338 332 312 284 251 212 177 146 120 97 77 58 39 23 12 6 2 0 2 5 9 29 24 24 37 64 65 92 106 116 113 89 97 80 45 7 9 2 1 2 2 2 3 2 2 2 2 2 2 3 3 2 2 4 6 7 11 19 25 30 35 47 60 77 101 132 168 201
9 8 8 7 6 7 10 11 9 8 8 12 16 20 21 19 17 16 17 17 17 16 12 8 7 7 7 7 7 6 7 8 9 9 13 16 21 31 50 106 183 259 320 354 328 312 297 279 257 229 194 164 136 109 89 72 54 38 25 18 9 2 0 0 0 1 16 17 12 19 65 63 73 90 109 111 98 106 101 67 9 2 1 1 1 2 2 2 2 3 2 2 2 2 3 4 3 2 3 3 3 4 7 9 9 9 20 29 42 62 89 120 153
9 5 4 5 7 8 10 10 8 6 7 12 20 25 24 19 15 13 11 10 9 8 4 1 1 1 1 3 3 4 4 5 6 6 10 13 18 26 34 75 132 194 252 297 298 291 273 254 235 211 185 159 133 107 84 66 50 35 22 16 8 2 0 0 0 0 2 1 0 0 35 53 64 75 103 93 87 97 122 115 59 19 4 12 6 3 3 3 3 2 3 3 3 4 3 3 4 3 3 3 4 4 4 4 4 3 6 8 14 29 50 78 107
10 5 3 4 6 7 8 9 8 8 9 13 21 26 26 22 18 13 9 5 3 2 0 0 0 0 0 1 2 3 4 3 3 5 7 9 11 13 20 38 67 104 146 177 194 203 206 207 194 182 167 147 125 101 81 63 47 33 20 14 7 2 0 0 0 0 0 0 0 2 19 37 47 62 86 87 68 46 99 107 82 42 10 26 11 5 4 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 11 21 40 69
14 9 6 6 7 8 10 11 10 9 9 12 20 26 28 26 21 14 8 3 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 5 7 10 14 21 33 49 62 68 72 82 99 104 106 105 104 95 82 68 56 44 28 15 5 0 0 0 0 0 0 0 0 0 5 20 39 44 50 60 68 63 12 42 52 57 49 7 11 7 4 4 5 7 7 6 4 4 4 4 4 4 4 4 3 3 2 3 3 2 2 3 3 3 4 4 10 32
16 14 11 10 9 9 11 13 12 10 9 10 17 26 29 25 22 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 3 5 7 9 9 8 8 17 24 28 31 37 44 50 49 43 34 21 11 4 0 0 0 0 0 0 0 0 0 8 23 35 33 29 26 27 41 13 8 7 7 12 5 4 5 6 7 5 6 6 5 4 4 4 4 4 4 4 4 4 3 2 2 3 3 2 2 2 2 3 3 4 11
13 13 12 11 9 11 13 14 12 9 9 9 10 15 18 16 15 12 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 1 0 0 1 3 5 8 16 22 21 17 13 9 6 3 2 2 2 1 1 3 3 7 16 28 28 19 6 0 0 5 2 1 1 1 2 2 2 3 6 7 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 4 5
8 9 9 8 6 8 11 13 15 16 12 7 4 4 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 2 3 5 7 6 5 5 4 5 8 9 9 11 14 16 16 19 21 24 30 38 41 35 22 7 4 1 0 0 0 0 0 0 1 0 0 3 3 3 3 3 3 2 2 3 1 2 1 2 2 3 4 3 2 1 1 1 1 1 1 2 3 4 5
6 5 6 4 3 3 5 9 13 10 4 0 0 1 1 0 0 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 0 0 0 3 9 16 25 29 15 8 4 3 4 5 13 22 32 40 45 50 53 53 57 68 73 68 56 42 33 22 9 0 0 0 0 0 0 0 0 1 2 2 2 2 1 1 1 1 2 2 2 2 2 2 3 3 3 3 2 1 1 1 0 0 1 3 4 5
6 4 5 4 2 1 2 6 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 0 0 3 9 15 21 25 22 14 8 6 9 14 21 32 48 62 71 70 74 86 97 107 109 100 82 68 58 45 27 9 4 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 2 2 2 3 3 3 3 3 2 1 1 1 0 1 2 3 4 4
5 6 5 3 2 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 1 2 2 2 7 8 7 4 3 4 6 11 22 39 58 77 74 58 76 99 110 105 87 64 58 54 52 48 31 19 7 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 0 1 1 2 2 3 3 2 2 2 1 1 0 0 0 1 2 3 4
2 2 1 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 0 0 0 0 1 1 0 0 0 0 0 1 5 14 23 42 59 55 69 79 78 67 57 44 46 54 62 68 54 38 21 7 3 1 0 0 0 0 0 1 3 4 3 3 3 1 0 0 0 1 1 2 2 1 1 1 0 0 0 0 0 0 1 2 3
1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 16 28 41 45 45 51 64 80 83 81 86 77 68 54 34 17 10 6 3 2 1 0 0 1 2 3 4 5 4 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 3
1 1 1 2 2 2 3 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 14 25 46 66 75 76 71 56 46 41 29 23 20 17 14 9 5 2 1 1 2 2 2 2 2 2 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2
1 1 1 2 3 3 4 4 3 2 2 2 2 2 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 1 3 11 19 25 26 28 24 22 23 22 23 24 25 23 19 13 7 5 5 5 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
1 1 1 2 3 3 4 4 4 3 3 2 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 1 3 5 6 6 7 10 10 13 17 21 23 24 23 20 16 13 11 10 9 7 5 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 2 2 3 3 3 4 3 3 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 1 2 3 4 5 7 7 9 13 17 20 25 29 30 24 18 14 12 11 9 8 7 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 2 2 2 2 3 3 3 2 2 2 3 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 1 3 4 5 7 10 12 16 19 21 26 32 33 24 17 13 13 13 12 12 12 12 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 3 3 3 3 3 1 1 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 1 2 4 5 7 10 13 18 23 23 23 26 30 25 18 12 12 13 14 15 15 15 17 17 14 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
4 3 3 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 9 12 16 20 24 28 28 27 29 35 29 21 16 14 14 16 17 15 15 17 19 18 14 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0
4 4 3 2 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 1 2 5 8 10 13 16 19 24 29 33 34 33 29 33 34 30 28 23 20 19 18 13 12 14 17 18 16 12 8 4 1 0 0 0 0 1 1 1 1 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 1 2 5 9 12 14 16 19 27 33 38 40 40 36 33 34 35 34 29 24 21 17 12 10 11 13 13 13 12 9 7 5 3 1 0 0 2 4 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 1 3 6 9 10 12 15 23 32 39 43 43 42 41 40 40 38 33 27 23 17 13 10 9 9 9 9 9 9 10 9 7 2 0 0 2 4 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 1 1 3 5 8 11 17 26 35 41 44 45 44 43 43 42 38 33 29 24 18 13 9 8 8 7 7 8 9 10 8 4 1 0 0 2 4 6 3 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 3 7 14 25 35 38 41 43 43 42 42 40 37 32 27 23 20 17 13 10 9 8 7 5 5 6 7 5 3 1 0 0 2 6 7 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 0 4 12 23 33 36 36 36 36 36 35 34 32 30 23 21 19 18 16 13 12 11 10 7 4 2 2 2 2 2 2 0 0 1 6 10 11 8 6 4 2
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 0 0 0 0 0 0 0 0 0 0 1 7 16 24 26 25 24 22 19 21 21 21 22 24 21 20 18 16 14 12 11 11 10 8 5 3 2 0 1 1 1 0 0 1 4 8 11 9 7 6 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 3 10 17 18 14 11 8 6 4 5 7 8 10 13 14 13 13 12 11 11 11 12 12 11 10 8 5 3 1 0 0 0 0 0 1 3 7 8 7 6 4
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 1 3 7 6 4 2 1 1 0 0 1 1 2 3 3 3 5 7 8 10 12 14 16 16 16 14 11 8 5 2 0 0 0 0 0 1 3 5 5 4 2
0 0 0 0 0 0 0 0 0 1 1 2 3 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 0 2 5 9 13 17 19 20 20 19 17 14 10 6 3 1 0 0 0 1 2 3 4 3 3
0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 16 19 20 21 21 20 19 17 12 6 1 0 0 0 0 0 2 2 2 3
0 0 0 0 0 0 1 1 1 1 2 2 4 5 5 6 7 6 3 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 4 9 13 14 15 16 18 19 21 20 16 9 2 0 0 0 0 0 1 1 1 2
0 0 0 0 0 1 1 1 2 2 2 3 4 5 6 7 7 6 4 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 2 4 6 6 6 8 10 14 18 19 18 14 8 3 1 0 0 0 0 1 2 2
0 0 0 0 0 2 2 2 2 2 2 4 5 7 8 8 8 6 2 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 0 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 2 5 9 13 16 18 16 11 5 0 0 0 0 0 0 1 3
0 0 0 1 2 4 3 2 3 2 1 3 6 8 9 9 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 1 2 4 7 10 13 16 15 13 9 3 1 0 0 0 0 1 3
0 0 0 0 0 0 0 0 1 1 0 2 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 0 0 1 3 5 6 8 11 13 14 14 13 8 4 0 0 0 0 1 3
0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 10 12 13 14 15 14 10 3 1 1 2 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 11 11 12 14 15 17 18 13 9 9 13 17 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 9 9 10 11 13 14 18 19 18 18 20 23 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 7 7 8 12 15 16 17 19 22 25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 5 8 10 12 15 18 20 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 3 3 5 8 13 18 23 22 25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 7 12 19 27 29 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 4 3 2 4 8 14 20 29 37 42
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 3 2 2 2 4 9 16 22 28 37 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 3 8 13 18 23 28 31
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 2 3 4 7 10 12 17 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 3 3 3 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 1 2 3 4 3 4 5 6 7 11 15
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 1 2 3 4 4 4 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 1 1 3 4 4 4 5 7 8 10 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 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 1 1 1 1 2 3 4 5 7 6 5 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 1 3 4 5 6 7 8 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 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 9 10 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 0 0 0 0 0 0 0 0 0 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 7 7 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 1 2 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 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 6 7 7 7 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 0 0 0 0 1 2 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 4 5 6 6 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 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 1 2 2 1 2 4 5 6 7 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 1 1 3 3 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 1 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 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 1 1 2 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 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 1 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 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 1 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 6 7 5 4 2 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 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 2 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 2 1 5 9 11 12 14 13 12 9 4 2 1 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 0 0 1 1 1 0 0 0 0 0 0 1 2 4 8 12 15 14 12 12 15 17 18 14 9 5 2 0 0 0 0 0 1 3 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 1 0 0 0 0 0 1 1 0 0 0 0 1 1 2 4 6 8 9 10 8 6 7 9 12 14 12 8 5 2 0 0 0 0 2 3 5 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 1 1 2 2 1 0 0 0 0 1 1 2 1 1 2 2 1 1 1 2 2 1 2 1 1 2 3 4 6 6 6 4 2 2 1 0 1 2 4 6 5