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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 5 4 3 3 3 2 2 2 2 3 3 4 3 4 4 4 4 3 3 2 2 3 3 2 2 2 3 3 3 3 3 3 3 2 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 2 2 2 3 5 5 5 5 5 4 5 5 5 5 5 5 5 5 7 8 8 6 5 4 4 5 11 19 17 8 3 7 9 2 -4 7 7 1 1 5 4 8 11 8 5 5 4 4 6 9 5 5 8 7 4 5 2 -4 -3 4 10 7 2 4 10 10 3 0 2 0 -1 3 2 -1 4 3 -1 -4 -5 -3 1 4 9 5 1 4 6 3 1 -2 -2 2 4 3 6 17 32 31 14 6 5 4 4 4 4 6 7 10 12 12 11 9 6 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 6 6 6 5 3 3 3 3 3 4 4 3 3 4 5 6 5 5 5 4 3 2 3 3 4 3 3 4 5 5 5 5 4 5 5 5 6 6 7 7 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 6 9 19 27 19 12 10 11 8 3 -2 -7 -8 -12 -5 0 -1 2 4 1 0 -1 -1 0 -6 -11 -8 -6 -8 -8 -3 5 7 6 7 10 12 15 17 17 17 13 8 7 6 6 6 7 6 7 9 8 7 8 9 9 10 11 11 11 10 8 6 6 6 6 6 5 5 4 3 5 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 3 3 4 3 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 5 4 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 3 2 2 2 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 3 3 4 3 3 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 5 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 3 3 3 3 4 5 4 3 2 2 2 4 5 5 5 5 3 4 5 5 5 5 5 4 5 7 8 8 7 5 5 5 8 17 22 15 9 7 13 21 6 -1 10 6 3 4 7 6 5 6 9 9 8 6 9 16 13 7 6 5 4 6 9 5 -2 -2 3 9 9 3 -2 1 7 3 -4 -6 -1 8 8 1 2 7 6 4 3 -0 -4 -2 5 10 6 4 3 -1 -1 1 1 3 7 9 7 11 25 32 21 8 5 4 4 4 5 5 6 8 10 11 12 11 9 6 4 3 4 4 4 4 4 4 4 3 4 3 3 4 5 6 7 6 5 4 3 3 3 4 4 3 3 2 3 4 5 5 5 5 4 2 3 4 5 5 4 3 4 5 4 5 5 5 5 5 5 5 6 4 -0 -1 2 2 1 1 2 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 3 4 4 5 6 6 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 3 4 4 4 6 11 20 24 22 17 16 14 12 10 8 3 2 1 3 5 7 7 5 7 6 2 2 3 1 -2 -2 -3 -6 -5 0 5 6 5 7 9 10 11 11 12 10 4 4 4 4 4 4 4 4 5 4 4 4 5 6 7 9 10 10 8 7 5 5 5 5 4 4 4 4 4 4 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 1 2 3 3 3 3 3 4 3 3 3 4 3 3 3 3 3 3 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 2 2 1 1 1 2 3 3 3 4 3 3 3 3 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 4 4 5 5 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 2 2 3 4 5 5 5 4 3 4 4 5 5 4 4 5 6 8 8 7 6 5 5 10 18 20 16 9 8 16 22 7 -1 4 -1 3 10 9 6 4 4 3 4 6 4 8 13 11 8 6 5 4 9 13 8 4 3 4 7 8 6 1 -3 -2 -1 -2 0 8 13 5 1 5 8 10 7 6 1 -2 1 4 8 9 4 -3 -5 -2 2 6 9 10 9 11 20 29 23 10 5 5 4 4 4 5 5 7 8 10 11 12 12 9 6 5 5 5 5 5 5 5 4 4 3 4 3 4 5 6 7 7 7 5 3 3 3 3 4 4 2 2 2 2 3 1 -0 3 5 4 3 4 5 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 -6 -11 -4 -1 -5 -6 -1 3 3 3 3 3 2 3 3 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 3 5 9 16 19 20 17 11 9 8 7 6 8 8 9 8 6 3 4 7 8 5 3 5 7 5 4 3 1 0 3 5 5 4 5 7 8 9 9 8 7 4 4 4 4 4 4 4 4 4 3 3 3 3 5 6 7 8 9 8 7 6 6 5 5 4 4 4 5 4 4 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 2 2 3 4 5 5 5 6 6 6 6 6 5 5 5 5 4 3 3 2 2 2 1 1 1 1 1 1 2 2 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 4 5 5 6 4 3 2 2 3 5 5 5 5 4 4 4 5 5 4 5 5 5 7 7 7 6 6 6 9 13 12 15 11 2 6 10 6 4 4 2 1 9 9 3 2 6 5 1 -0 -0 2 4 6 5 6 4 1 4 7 5 8 9 8 6 5 6 7 5 -2 -2 1 8 18 16 5 1 3 10 12 7 2 -2 -0 3 4 8 7 -1 -5 -3 1 6 12 14 12 12 19 29 27 15 6 5 5 4 4 5 5 6 7 8 9 11 12 12 10 8 7 6 6 6 6 5 5 4 4 3 3 4 5 6 6 7 7 6 5 3 3 2 3 4 3 2 2 2 2 2 -2 -2 4 5 4 4 4 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 8 -2 -14 -11 -4 -4 -6 -3 2 3 3 3 2 3 3 4 5 5 5 5 5 6 6 7 6 5 5 5 5 6 6 5 4 4 4 4 5 5 5 5 5 6 5 6 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 1 0 -0 -0 0 2 6 11 16 16 11 8 7 6 6 8 10 12 12 8 3 3 6 8 7 6 6 6 5 5 6 5 4 6 7 4 3 4 5 6 7 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 5 6 7 8 9 8 8 6 6 5 5 4 4 5 4 4 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 2 3 2 1 2 3 3 3 3 3 3 3 4 4 4 3 3 2 2 3 3 3 4 5 6 6 6 7 7 7 7 6 4 3 3 3 2 1 1 0 1 1 2 2 1 2 2 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 5 5 5 5 6 6 6 5 5 5 5 5 6 5 3 2 2 4 5 6 5 4 4 4 4 5 5 4 4 5 6 7 7 7 6 6 7 7 7 11 10 2 3 3 3 12 11 8 3 5 9 3 0 5 8 6 0 -2 -1 2 2 0 1 -0 -0 2 4 0 10 12 11 8 3 2 6 8 7 6 4 10 17 15 10 5 8 12 8 4 3 2 5 4 0 -0 -0 -1 -0 2 6 12 17 18 18 23 30 30 20 9 5 5 4 4 4 5 6 6 8 8 9 10 12 12 11 9 8 8 7 7 6 5 4 4 4 4 4 5 5 6 6 6 6 5 4 3 3 2 3 4 3 2 2 3 3 2 2 3 4 5 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 6 6 6 6 7 3 -6 -12 -5 6 7 2 2 3 3 3 3 3 4 5 5 6 6 5 6 6 7 7 7 6 6 6 6 6 6 5 4 4 4 4 5 5 5 5 5 5 6 5 6 6 6 6 5 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 1 -0 -3 -5 -6 -6 -4 1 5 9 9 8 8 8 7 8 8 10 13 13 10 7 7 9 10 9 10 10 7 5 5 5 6 7 6 4 3 3 4 5 5 6 6 6 5 5 4 4 3 4 4 4 4 4 5 5 5 5 4 5 5 7 9 9 8 7 7 6 6 4 3 4 5 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 3 3 3 2 1 1 3 3 2 3 3 3 3 4 4 4 4 3 3 3 2 2 3 3 4 5 5 6 7 8 9 9 8 7 5 4 4 3 1 1 1 1 2 3 3 2 2 2 3 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 4 4 5 4 4 5 4 4 4 5 4 4 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 6 5 6 6 5 3 2 3 5 6 5 5 4 4 4 5 5 4 4 4 5 7 7 6 6 5 5 6 9 12 8 3 5 3 0 12 13 10 6 2 6 4 3 5 8 9 5 2 -0 -1 -3 -4 -2 -0 3 9 10 6 9 9 9 6 -1 -2 4 6 10 12 9 9 10 6 7 14 18 12 5 5 10 12 9 3 1 0 1 3 3 6 10 16 21 23 30 36 34 23 12 6 4 4 4 4 5 5 6 7 7 8 8 9 11 11 11 10 9 8 8 7 6 5 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 3 4 4 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 6 5 6 6 6 6 5 5 6 3 -6 -7 4 11 6 3 2 3 3 3 3 4 6 6 6 6 5 7 7 8 8 7 7 7 7 7 6 5 4 4 4 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 6 5 5 5 5 5 5 5 5 5 4 4 2 0 -3 -6 -9 -12 -12 -7 -2 2 5 6 7 7 7 8 7 7 9 13 16 14 10 13 14 13 13 11 8 7 5 5 7 7 6 4 2 1 2 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 7 6 5 4 5 7 10 9 8 7 7 5 4 4 4 5 6 5 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 3 4 4 3 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 9 9 8 7 5 4 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 3 4 4 4 4 3 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 6 5 5 5 5 5 5 4 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 6 5 3 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 7 11 14 10 4 4 3 1 5 4 5 8 4 4 6 7 5 7 6 3 5 6 2 -2 -1 0 1 3 12 12 9 6 8 7 4 -1 2 9 3 6 7 7 5 9 4 -3 5 17 12 6 5 10 12 11 5 2 3 5 4 5 9 14 19 22 29 38 38 26 13 8 5 4 4 4 5 6 6 6 7 7 7 8 9 10 11 11 10 9 8 8 7 6 5 4 4 4 4 4 4 5 4 4 5 5 4 3 3 2 3 4 4 3 3 3 2 3 3 2 3 3 3 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 4 4 5 2 -6 -8 0 5 3 2 2 3 3 4 6 7 7 6 5 7 7 8 8 8 7 7 6 7 6 6 5 4 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 4 2 1 0 -1 -3 -6 -5 -1 2 4 5 7 6 6 7 8 7 7 8 9 12 12 14 15 13 10 7 7 6 5 5 7 9 8 6 3 0 -1 0 3 4 3 3 4 4 5 5 5 5 5 4 4 4 4 4 6 7 8 5 4 6 8 9 10 9 7 6 5 5 4 4 5 6 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 2 3 4 4 4 4 4 3 3 4 4 4 4 5 6 7 8 8 6 5 4 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 4 5 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 6 5 5 5 5 6 7 7 7 8 7 7 7 8 7 7 7 6 6 6 7 7 6 4 3 3 5 6 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 6 9 11 11 8 5 3 4 6 5 3 5 4 2 7 8 5 7 3 -2 2 7 7 3 5 3 -1 -1 7 8 6 3 6 6 4 3 12 15 3 -2 -5 -3 1 11 7 1 -1 1 3 2 1 4 7 8 4 1 5 5 2 3 9 15 19 24 33 39 29 15 8 6 5 4 4 4 5 5 6 6 7 7 7 8 9 10 10 10 10 9 8 7 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 2 2 3 3 2 2 4 5 5 4 4 4 5 5 4 4 5 6 6 6 5 5 5 5 5 5 4 4 4 5 5 1 -4 -3 2 3 3 3 3 3 5 6 7 7 6 6 7 8 8 8 7 6 5 5 6 6 6 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 5 5 6 6 6 5 5 5 5 5 5 4 3 2 2 2 3 4 5 6 6 7 7 5 3 3 4 4 5 7 7 6 7 8 8 8 6 2 2 7 10 10 8 6 7 6 5 4 5 8 10 11 9 7 3 -4 -6 -2 2 4 3 4 4 4 5 5 5 5 5 4 4 4 4 5 6 7 6 6 6 8 9 10 10 8 6 5 5 5 5 5 6 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 4 4 4 4 5 5 4 4 3 3 4 4 4 3 3 3 2 2 3 4 4 4 5 5 4 4 4 4 4 3 3 3 4 5 6 6 5 5 4 4 4 3 3 4 4 4 4 4 3 2 2 2 2 1 2 2 3 3 3 3 4 4 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 7 7 8 9 8 7 7 7 7 8 8 8 7 7 7 7 8 6 3 3 5 5 5 4 4 4 5 6 6 5 5 5 4 5 5 5 5 4 5 7 9 10 10 6 5 7 9 9 8 8 5 2 5 5 4 6 4 -0 -1 2 8 5 8 6 2 3 4 6 8 6 6 5 2 6 18 15 8 2 -3 -7 1 9 4 5 7 -0 -1 1 2 2 6 1 1 2 5 5 3 5 11 17 19 24 32 30 17 9 7 6 4 4 4 4 5 5 6 7 7 7 7 8 8 9 9 9 9 8 7 7 6 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 2 2 3 3 3 5 10 11 8 6 5 4 6 6 5 5 5 5 6 6 5 5 5 4 4 4 4 4 5 6 6 7 4 -0 2 4 3 3 3 4 6 7 7 6 6 6 7 8 8 8 7 6 4 4 5 5 6 5 5 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 2 1 -1 -3 2 6 6 6 7 6 6 6 4 4 4 4 5 7 7 6 7 8 11 9 4 1 3 6 7 7 7 6 6 5 3 3 7 12 14 11 11 9 3 -3 -6 -2 3 4 4 4 4 4 5 5 4 4 4 5 4 4 5 5 6 6 7 7 8 9 10 10 8 5 5 5 5 5 5 6 7 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 6 5 4 3 5 5 5 4 3 3 4 4 5 4 4 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 4 4 3 3 4 3 3 3 3 4 4 4 4 3 3 2 2 1 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 3 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 5 4 5 5 5 5 5 5 5 6 7 7 8 9 9 8 7 6 7 8 9 9 8 8 8 8 8 7 4 3 4 5 5 5 4 4 5 6 7 6 6 5 5 5 5 5 4 4 5 5 8 10 10 8 5 5 4 3 8 9 7 7 6 6 4 6 9 8 3 2 7 7 8 9 9 8 6 5 7 8 7 2 -3 8 17 12 11 12 5 -4 5 6 5 7 6 7 6 1 3 5 4 1 3 5 4 4 5 8 11 12 13 20 25 18 10 7 6 5 4 4 4 4 5 5 6 7 7 7 8 8 8 8 8 8 9 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 4 6 12 14 14 13 11 9 8 8 7 6 6 6 5 5 5 4 3 3 4 4 4 5 5 6 6 7 6 4 4 4 3 3 4 5 6 7 6 6 6 6 7 8 9 9 7 6 5 4 4 5 6 6 6 5 5 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 6 5 5 4 3 1 -1 2 4 5 5 5 5 4 5 5 4 4 4 5 7 10 10 8 9 11 12 9 4 3 5 7 7 7 6 6 5 3 3 5 10 12 12 13 14 10 7 3 -2 1 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 10 10 8 5 5 5 6 6 5 5 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 7 5 5 4 5 5 5 4 4 4 4 5 5 4 4 4 4 4 2 2 3 3 3 3 3 3 3 4 4 4 5 4 4 3 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 7 8 9 9 8 7 7 8 9 10 10 9 9 9 9 9 8 5 3 3 5 6 5 5 5 5 6 7 7 7 6 6 6 5 5 5 5 5 4 7 11 13 11 7 3 1 -1 3 6 4 2 3 5 6 8 12 13 9 6 3 6 10 12 8 6 5 3 3 3 3 -2 -5 8 12 8 10 11 4 -1 5 2 6 8 3 5 5 -0 1 5 6 5 7 7 6 6 6 6 4 1 6 15 17 11 7 6 6 4 3 3 4 5 5 5 6 7 7 7 8 8 7 7 8 8 8 8 7 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 3 2 3 3 4 4 4 7 11 14 16 16 16 14 13 12 12 12 10 8 7 5 4 3 2 2 4 7 8 8 9 9 9 10 10 7 4 4 4 4 5 6 6 6 5 6 7 7 8 9 9 8 7 6 5 5 6 5 6 6 6 5 5 4 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 6 6 5 4 4 3 1 1 1 1 2 3 4 5 4 4 4 3 2 3 3 5 5 6 5 6 6 5 5 6 8 12 16 16 13 10 8 8 7 4 4 5 6 6 6 6 5 5 3 3 4 6 8 9 10 13 11 7 7 4 2 3 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 6 6 6 7 9 9 10 8 5 4 5 6 6 6 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 6 6 5 5 6 6 5 4 3 4 4 5 4 4 4 4 5 5 3 3 2 2 3 3 2 3 3 4 4 4 4 5 5 4 3 3 3 2 2 2 2 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 5 5 4 5 5 5 5 5 6 7 7 8 8 8 8 7 8 9 10 11 11 10 10 10 9 9 8 6 4 3 4 6 6 5 5 5 5 6 7 8 8 6 6 6 6 6 5 4 3 9 17 18 12 9 3 1 3 3 5 3 -2 -0 2 3 5 7 10 8 4 -1 5 10 11 6 1 4 8 4 -2 -1 -2 -1 7 6 3 5 7 4 -1 -1 0 3 2 1 2 5 4 1 1 4 6 7 8 9 8 5 5 2 1 7 14 13 8 7 6 5 4 3 3 4 5 5 6 6 7 7 7 7 7 7 7 7 8 8 7 7 6 5 4 4 5 4 4 5 4 4 4 4 4 4 4 5 5 4 4 3 4 3 3 3 3 3 3 4 4 4 4 5 8 10 12 14 15 15 16 17 17 15 13 11 9 7 6 5 5 7 11 14 17 18 17 17 16 14 7 5 5 4 5 5 5 5 5 5 5 7 7 8 8 9 9 8 7 6 6 6 6 6 6 6 5 5 3 0 -4 -3 2 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 5 5 3 3 2 1 -0 -3 -4 -5 -5 -3 -1 1 2 2 3 3 1 1 2 4 5 4 4 6 7 6 8 11 12 11 12 14 12 9 7 5 3 3 4 5 5 6 6 6 5 4 3 3 4 5 6 6 5 7 7 6 5 2 1 3 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 9 9 7 5 5 6 6 6 6 6 5 5 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 6 6 6 6 6 5 4 3 3 4 4 3 2 3 4 5 5 5 4 2 2 2 2 2 3 3 3 4 4 4 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 3 3 4 4 3 3 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 8 8 8 9 10 12 12 12 11 10 10 9 9 9 7 4 3 4 5 6 5 5 5 5 5 7 9 8 6 6 7 7 6 5 4 4 11 20 17 9 5 -1 4 11 10 0 3 4 7 3 -0 -3 0 8 10 5 1 4 8 9 7 2 3 7 8 4 2 2 5 6 7 4 4 5 3 -2 -5 3 2 1 4 3 4 8 5 -1 0 6 7 6 8 7 5 6 6 8 12 15 12 9 7 7 5 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 5 4 4 3 3 3 5 6 7 8 10 12 13 12 12 13 13 14 14 13 14 16 17 16 16 17 21 23 23 20 12 6 6 5 5 5 5 4 3 3 4 4 5 6 6 6 7 8 7 7 7 6 6 6 6 6 6 5 5 3 -1 -7 -9 -4 4 7 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 2 1 0 -1 -3 -4 -6 -8 -10 -10 -9 -6 -3 -1 2 3 1 0 0 2 3 3 3 3 5 6 8 10 8 5 6 8 8 8 7 5 4 3 4 5 5 5 5 5 5 5 4 4 4 5 5 4 3 3 3 6 7 4 0 2 4 4 4 5 6 7 5 5 5 6 7 8 7 7 6 6 6 5 5 7 8 8 8 6 5 5 6 7 7 7 6 4 4 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 5 5 5 4 5 5 5 5 5 4 4 3 3 3 3 2 3 4 5 5 5 5 4 4 3 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 3 3 3 3 4 3 3 3 3 3 3 3 2 2 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 5 5 4 4 4 4 5 5 5 5 5 5 6 6 7 8 8 8 8 9 11 12 13 13 13 12 11 10 9 9 8 7 5 4 4 5 5 5 5 5 5 5 7 9 7 5 6 7 8 7 5 5 6 10 13 10 6 1 -2 9 9 7 -1 3 10 10 6 0 -4 1 9 11 8 4 5 7 9 9 8 4 2 1 2 3 4 6 5 11 12 8 8 5 1 1 7 5 6 6 4 4 6 7 5 4 5 7 8 8 6 6 6 7 12 16 15 13 10 8 7 5 3 3 4 4 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 4 4 5 5 5 6 8 10 14 16 17 17 16 15 12 10 10 12 16 18 17 9 6 6 6 5 6 6 5 4 3 3 3 3 3 3 1 2 4 2 2 4 6 6 6 6 6 6 6 6 6 5 4 1 -2 2 6 7 6 7 7 6 6 5 3 1 0 -0 -0 -0 -1 -1 -1 -1 -0 -2 -4 -5 -6 -7 -7 -7 -7 -5 -2 1 4 5 4 3 2 3 6 8 9 6 6 7 4 2 4 4 5 6 8 8 8 6 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 3 2 2 3 6 7 4 3 4 4 5 6 7 7 6 3 3 5 7 10 11 9 7 6 6 5 5 6 6 8 8 7 6 5 5 7 7 7 7 5 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 2 2 1 2 3 3 4 5 6 6 5 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 2 1 1 2 2 2 2 2 2 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 4 3 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 7 8 10 12 14 14 15 14 12 11 9 9 9 8 6 5 4 4 5 5 5 5 5 4 4 5 7 6 6 7 8 8 7 5 7 8 6 6 5 7 1 4 11 5 -1 1 1 12 11 10 6 1 4 5 5 9 10 7 6 8 8 7 7 2 -3 -1 5 7 3 2 9 13 10 7 6 5 8 9 6 8 6 9 9 7 7 10 7 6 9 11 9 6 4 3 8 14 15 14 13 11 8 6 4 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 2 2 2 2 2 3 4 4 5 7 9 10 9 7 5 6 7 7 7 8 10 10 7 6 6 6 6 6 6 6 5 5 4 3 3 2 1 -3 -5 -3 -4 -9 -8 -1 4 6 6 6 6 6 7 9 12 12 12 11 6 4 6 6 6 7 7 7 6 5 4 1 -0 -2 -3 -5 -7 -9 -9 -8 -8 -8 -5 -3 -1 0 3 5 4 5 6 6 7 7 7 6 7 10 13 15 15 12 8 3 0 2 4 5 6 8 8 8 6 5 5 4 4 6 6 5 5 5 4 4 4 5 5 5 5 4 3 2 2 3 5 5 4 5 5 6 7 7 7 8 5 2 5 8 12 14 12 7 6 6 6 5 5 6 7 7 6 5 5 5 5 7 9 8 7 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 4 3 4 3 3 3 3 4 5 5 6 6 5 3 2 2 2 2 1 2 4 6 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 7 7 6 5 5 4 4 5 4 4 5 6 5 4 4 4 5 4 4 5 5 3 2 1 1 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 2 3 3 2 2 3 3 3 4 4 4 4 3 4 3 4 4 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 7 6 7 7 7 9 11 14 17 17 17 16 14 11 9 9 8 7 6 5 4 5 5 5 5 5 5 4 4 4 5 7 8 9 9 8 7 5 7 7 4 3 5 6 3 10 8 9 3 8 4 8 9 18 16 8 4 1 -1 7 9 4 2 6 9 6 7 5 1 4 9 8 4 -0 3 9 5 -0 2 6 8 8 8 8 8 13 10 9 8 9 7 7 11 11 8 5 3 4 10 15 15 13 13 10 7 5 3 2 2 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 1 1 1 2 2 3 3 3 3 3 5 5 4 5 6 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 6 6 5 5 5 3 -1 -2 -1 -6 -12 -11 -2 4 6 6 6 6 8 10 15 17 14 11 6 3 4 4 4 4 5 4 4 4 4 3 1 -1 -3 -5 -9 -14 -17 -14 -9 -4 -1 1 2 4 5 7 8 7 6 7 8 8 8 8 9 3 1 9 13 10 5 1 1 2 3 4 5 7 7 7 7 6 5 4 4 5 6 5 5 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 5 5 5 7 7 7 6 9 10 8 8 10 13 15 13 9 7 7 6 5 5 5 6 6 6 5 5 4 5 6 8 9 9 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 3 4 4 4 4 4 5 6 6 6 5 5 4 3 1 1 2 4 6 6 6 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 5 5 5 6 7 7 5 4 4 5 5 6 7 7 6 5 3 2 2 2 1 1 1 2 2 1 2 2 2 2 2 2 2 1 1 1 1 0 1 1 2 2 2 2 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 7 6 7 8 9 12 17 20 20 20 18 14 11 9 8 7 6 5 5 5 5 5 5 5 5 5 5 4 4 5 7 9 10 10 9 7 6 6 6 3 3 6 4 7 8 3 9 10 14 9 4 6 18 19 13 5 3 0 3 4 -1 -0 8 12 9 7 5 3 5 5 5 4 1 3 8 3 -5 -2 5 5 6 8 8 6 6 7 8 7 7 5 7 10 8 7 6 3 5 10 13 13 13 11 8 6 4 2 2 2 4 4 5 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 1 2 2 3 3 2 2 2 3 4 4 5 6 7 8 9 9 9 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 10 12 11 8 8 7 -1 -8 -9 -4 1 2 3 4 6 8 12 14 10 4 2 3 3 2 2 1 1 -1 -4 -5 -3 -2 -3 -3 -2 -2 -3 -5 -5 -1 2 3 2 4 4 4 3 3 4 5 5 6 8 9 10 10 8 3 -2 1 7 6 5 2 1 2 3 4 4 5 7 7 7 7 6 5 4 5 6 6 5 4 4 4 4 5 5 5 4 4 4 4 3 3 4 4 5 5 6 8 8 7 7 10 15 18 17 14 14 14 11 9 8 7 7 6 5 5 6 6 6 6 5 5 5 6 7 9 10 8 6 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 4 4 4 5 5 4 4 4 4 5 6 7 7 6 6 5 3 2 3 4 5 6 6 6 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 5 5 5 5 6 6 7 6 6 6 6 7 8 8 7 5 4 4 5 6 7 8 8 6 5 4 3 3 3 2 2 2 2 2 1 1 1 1 1 2 2 2 1 0 -0 -0 -0 0 1 1 2 2 2 2 2 2 3 3 3 3 4 4 4 3 4 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 8 10 14 18 21 22 21 18 14 11 8 7 6 5 4 5 6 6 6 6 5 5 5 5 4 4 5 6 9 10 10 8 7 6 6 6 4 4 5 5 8 5 3 4 7 5 8 6 4 9 12 14 8 8 4 3 6 1 3 11 14 11 8 5 6 7 3 1 2 1 3 8 6 0 -0 3 6 5 7 8 4 1 2 5 7 5 4 4 7 8 9 7 4 3 7 12 12 13 10 7 5 4 3 2 2 3 4 5 5 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 6 6 6 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 5 7 8 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 11 12 10 11 11 7 -0 -10 -14 -10 -8 -5 -3 2 5 5 6 5 2 2 2 2 1 -0 -2 -4 -6 -8 -9 -9 -7 -4 -3 -0 2 5 8 9 10 10 7 5 5 5 5 4 3 3 4 6 8 10 9 8 10 10 9 6 3 6 7 7 4 3 3 3 4 4 4 5 6 7 7 7 5 4 5 5 6 6 5 4 4 4 5 5 5 4 4 4 5 4 2 2 4 5 5 7 9 8 7 11 17 27 28 22 16 13 12 11 10 10 8 7 7 6 6 6 6 6 6 5 6 6 6 9 12 12 9 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 4 3 4 4 5 6 6 5 4 3 2 2 2 3 3 4 5 4 4 5 5 6 6 6 6 6 6 5 6 6 6 7 7 6 6 8 9 8 7 5 5 6 6 6 6 7 7 6 5 5 4 4 4 3 3 3 3 2 2 1 1 1 1 2 2 2 1 -0 0 0 0 1 1 1 2 3 2 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 7 6 7 9 11 15 19 23 23 20 15 11 8 7 5 4 3 4 5 6 7 6 6 5 5 5 5 4 4 5 6 8 9 9 8 6 6 7 7 6 5 5 6 4 2 5 4 6 2 7 6 3 1 6 11 8 11 10 7 6 2 4 8 11 11 10 9 9 7 4 4 3 -0 2 6 7 6 5 5 6 4 6 9 8 4 0 2 5 4 2 6 7 10 11 6 2 1 8 12 12 12 9 6 5 4 3 2 2 3 4 5 5 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 4 3 3 4 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 7 8 8 7 7 5 5 5 5 6 6 6 6 6 7 7 7 8 8 7 7 6 7 7 9 10 7 1 -4 -9 -10 -10 -11 -10 -6 -1 2 3 3 2 2 2 1 -1 -3 -4 -5 -5 -3 -2 -3 -2 2 4 3 5 8 9 9 9 8 6 6 7 7 6 8 11 10 8 10 12 14 10 5 4 8 7 5 5 6 7 7 6 5 4 3 3 3 3 4 5 6 6 7 6 5 4 4 5 6 5 5 5 5 5 5 5 5 4 4 5 7 4 -2 1 5 6 8 8 7 8 13 28 39 33 20 14 13 14 13 12 11 10 8 8 7 7 8 8 7 6 6 6 7 8 12 18 17 12 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 5 4 4 4 5 5 6 6 5 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 7 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 3 3 4 4 3 3 2 2 2 1 2 2 1 0 1 0 1 2 1 2 3 4 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 7 7 7 9 13 18 22 24 22 17 12 8 6 5 3 2 3 3 4 5 6 7 7 6 5 5 4 5 4 5 6 7 9 9 8 6 6 8 8 8 6 5 7 3 2 6 7 8 9 12 8 2 1 7 5 8 10 13 10 6 2 1 3 7 9 10 13 11 3 4 7 5 3 3 3 5 7 7 6 5 2 4 8 9 6 5 2 3 3 3 9 10 11 11 4 -1 0 10 13 11 11 8 6 5 4 3 2 2 4 4 5 5 6 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 7 7 7 6 5 5 5 5 5 6 7 6 6 7 7 7 7 7 6 6 6 6 7 9 13 13 7 3 1 0 -0 -3 -5 -10 -10 -6 -1 2 4 3 3 2 -1 -1 1 2 1 2 4 5 5 5 6 6 6 7 6 5 6 6 5 7 12 14 13 14 15 15 13 12 13 13 12 8 4 4 5 5 5 5 6 7 7 6 5 4 3 3 3 3 4 5 6 6 7 6 5 5 5 5 5 5 6 6 6 5 5 5 4 4 5 8 9 1 -1 4 6 8 8 7 7 14 31 38 26 13 11 13 15 16 16 13 11 9 8 9 9 8 9 10 9 11 12 10 8 11 20 24 21 12 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 6 6 7 7 6 5 5 4 4 4 5 5 6 6 5 4 4 3 4 5 5 4 4 4 5 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 7 6 6 6 5 5 5 5 5 6 6 5 5 5 4 4 4 4 5 4 4 3 3 3 2 3 3 2 1 1 1 2 3 3 4 4 4 4 4 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 6 7 7 8 11 17 23 26 24 18 13 8 7 5 4 2 2 2 3 4 4 6 6 7 8 6 5 4 4 4 5 5 7 7 8 7 6 7 8 9 8 6 5 7 5 4 6 8 8 14 13 8 3 5 10 3 6 6 9 10 7 5 1 3 7 7 8 11 8 1 4 9 5 4 5 4 5 8 7 4 2 3 5 7 5 6 10 6 3 3 5 10 12 10 8 4 -0 3 11 13 11 11 8 5 4 4 4 2 2 3 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 5 5 5 4 3 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 6 7 7 7 8 7 7 7 7 8 10 15 19 17 10 5 4 4 5 2 -5 -9 -11 -9 -3 1 1 2 2 3 3 3 2 2 3 4 5 5 5 6 6 6 6 5 4 6 6 7 8 15 20 18 14 11 10 8 6 8 10 11 9 5 5 5 5 5 5 5 6 6 6 5 4 4 3 3 3 3 4 4 6 6 7 7 6 5 4 4 5 6 6 6 5 4 4 4 4 4 5 8 6 2 4 6 7 7 7 8 15 24 23 13 7 8 11 14 15 15 13 10 9 8 8 9 9 9 11 19 28 26 16 8 8 13 19 20 15 10 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 6 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 6 6 6 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 4 6 7 6 6 5 4 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 4 5 5 6 7 8 8 10 16 24 27 25 19 13 9 7 6 5 4 2 2 3 4 4 4 5 6 6 7 8 6 5 4 4 5 6 6 7 7 7 8 8 9 8 9 8 4 5 4 5 6 6 5 9 7 3 1 5 11 6 5 0 -0 8 4 3 4 7 8 6 4 5 6 5 6 6 2 4 8 7 6 6 8 5 1 4 7 9 6 5 9 7 4 5 6 8 11 9 6 3 1 6 13 13 10 10 7 5 5 4 3 2 3 4 4 4 5 5 5 5 5 6 5 5 5 4 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 5 5 4 5 5 4 5 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 5 5 5 4 3 3 3 4 4 5 6 6 6 6 6 6 6 5 4 4 5 5 6 6 6 6 7 7 7 8 8 7 8 8 8 9 12 17 20 16 10 8 6 4 3 2 -0 -4 -7 -7 -6 -6 -3 -1 -1 -2 -4 -2 -0 1 2 3 3 3 5 6 6 6 5 6 7 7 7 9 14 16 12 8 5 3 1 2 5 7 8 7 5 4 4 5 5 5 5 5 4 4 5 6 6 5 3 3 3 3 4 5 6 7 7 7 6 5 4 4 5 6 8 7 3 3 5 4 4 3 4 4 4 4 6 6 6 8 10 13 14 10 5 3 5 8 10 10 10 9 7 7 7 6 7 7 8 16 37 50 40 22 11 8 9 12 12 10 10 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 4 4 4 4 4 3 3 2 3 3 3 3 3 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 6 6 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 5 5 6 7 7 7 6 5 4 3 2 2 1 2 2 3 3 2 3 3 3 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 6 7 8 9 15 26 29 25 19 12 8 6 7 6 5 4 4 3 3 4 4 4 4 5 5 7 8 8 7 5 5 6 7 7 7 7 7 9 10 8 8 11 11 5 1 0 7 9 5 2 3 7 3 -1 3 8 9 7 -1 -5 3 0 -1 5 10 10 4 4 2 3 8 9 5 2 7 11 10 6 6 9 7 3 4 8 10 8 7 10 8 6 7 7 8 10 8 6 3 1 7 14 13 9 9 6 5 5 5 3 2 3 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 5 6 5 5 6 6 6 6 6 6 5 5 4 5 5 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 3 3 2 3 3 3 4 4 5 5 6 6 6 6 6 5 4 3 3 4 5 5 5 5 6 6 6 6 7 7 8 8 7 7 8 10 13 18 21 16 12 8 5 4 4 4 0 -4 -6 -6 -4 -2 -2 -4 -3 -1 1 2 2 0 0 2 3 6 7 8 8 8 8 9 10 10 8 9 7 5 4 3 2 3 4 5 5 4 4 4 4 3 3 3 4 4 3 3 4 7 8 7 4 3 2 3 3 4 6 7 8 8 7 5 4 4 4 5 7 10 7 3 5 5 4 3 3 2 3 5 6 5 5 7 9 9 9 7 5 4 4 5 6 6 5 5 5 4 5 5 6 6 7 17 42 57 46 24 13 10 9 6 4 4 5 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 3 3 4 3 4 4 3 3 2 2 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 6 6 6 5 6 6 6 6 6 6 6 7 7 6 6 6 5 6 7 7 7 7 7 7 6 5 4 3 3 2 2 2 2 2 3 2 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 5 5 5 5 5 6 7 9 11 24 36 27 14 9 6 5 6 7 7 6 6 6 5 4 4 5 4 4 5 5 5 7 9 9 7 6 6 7 8 8 8 7 9 8 5 8 12 13 8 0 1 9 9 5 3 5 9 7 3 2 4 8 8 2 -3 -1 -0 -2 3 11 10 4 2 1 1 5 8 7 5 9 12 8 6 9 10 8 4 4 6 9 9 10 13 10 7 8 8 9 11 8 5 5 4 6 10 15 11 8 5 5 5 5 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 6 6 5 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 3 3 2 2 3 3 3 3 4 4 5 5 5 5 6 6 6 5 4 4 4 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 6 8 13 17 15 16 15 12 10 9 8 6 4 4 3 2 3 5 5 5 7 6 4 3 3 1 2 5 6 10 14 14 13 13 13 10 7 5 5 5 5 5 5 4 3 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 5 7 7 6 5 4 3 3 4 5 6 7 8 8 6 5 4 4 5 5 7 8 6 6 6 5 4 3 3 3 4 5 5 5 6 8 8 7 8 8 6 4 4 4 5 4 4 4 3 4 5 6 5 6 12 25 36 33 21 12 8 4 3 2 2 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 2 2 2 3 3 3 3 3 3 2 3 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 4 3 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 8 8 7 6 6 5 5 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 5 5 5 5 5 5 6 8 10 16 32 35 16 1 0 -1 0 4 7 7 7 7 7 7 6 6 5 5 5 4 5 6 7 9 10 9 7 6 7 9 8 8 8 7 6 5 7 10 12 10 5 5 6 4 3 4 4 6 6 5 2 1 4 7 3 -2 -0 4 2 3 10 9 5 1 -0 1 3 6 7 5 6 8 5 5 8 9 7 6 7 7 6 5 8 12 12 9 11 9 9 11 7 5 6 6 5 8 17 15 7 6 5 5 5 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 5 5 6 6 7 6 6 7 6 5 5 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 5 5 4 4 3 3 3 3 3 3 4 4 3 3 3 4 5 5 5 4 5 5 6 5 5 5 4 5 5 4 4 5 5 5 4 5 5 4 4 4 3 3 4 4 5 5 8 12 14 16 16 16 16 15 15 15 12 8 8 9 8 9 12 14 11 10 12 11 9 12 11 12 15 16 14 11 8 5 3 3 4 4 6 6 6 5 4 4 3 4 3 3 4 3 2 2 2 3 5 5 4 3 3 4 6 6 6 5 4 3 3 3 4 6 7 7 7 6 5 5 4 4 5 5 5 6 6 6 5 4 3 4 4 5 5 5 6 7 8 7 6 8 8 6 5 5 4 4 4 4 4 4 5 6 6 5 9 12 10 10 13 10 6 3 3 6 5 5 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 2 2 2 2 2 2 2 3 3 3 3 3 2 3 3 3 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 5 5 6 6 6 6 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 7 7 7 6 6 6 6 7 6 5 5 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 7 9 12 21 30 23 7 -2 -2 -5 -4 1 5 6 7 7 7 7 8 7 6 6 6 6 6 6 7 9 10 10 8 7 9 10 8 7 6 4 7 9 4 5 8 10 9 8 6 4 4 2 0 3 4 7 5 1 1 6 4 -1 3 9 9 7 9 10 9 5 4 3 5 6 3 5 4 5 4 5 7 5 2 6 12 9 4 0 2 8 13 13 13 10 8 6 5 5 5 5 4 10 19 16 7 6 5 5 5 4 3 4 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 4 5 4 4 5 5 6 6 6 7 7 7 6 5 5 5 5 5 4 3 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 5 5 4 3 3 3 4 4 3 3 4 4 4 3 3 3 4 6 5 5 4 4 5 6 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 3 3 3 3 3 4 4 6 7 10 13 15 15 16 17 18 20 22 20 15 15 14 15 17 18 18 19 20 20 19 17 15 10 9 10 7 4 3 4 3 3 4 4 5 6 7 6 5 4 4 3 4 4 4 4 3 3 3 4 5 6 5 4 3 3 4 5 5 6 5 3 2 2 3 4 5 7 7 7 6 6 5 5 5 5 4 5 6 7 6 5 4 4 4 4 5 5 5 7 8 7 7 7 7 7 7 6 5 4 4 5 5 5 5 6 5 5 7 8 6 6 8 8 6 5 6 7 6 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 4 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 5 5 6 6 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 6 6 7 6 6 6 6 6 6 6 6 6 6 7 6 5 5 4 4 4 4 4 4 3 3 3 4 3 3 4 4 3 3 4 3 3 4 4 3 3 4 3 3 3 4 4 4 5 5 4 4 4 5 5 5 6 6 6 6 6 7 10 16 25 26 15 6 3 -0 -6 -8 -2 3 4 5 6 6 7 7 7 6 6 6 7 7 7 7 9 10 10 9 9 11 9 7 6 7 7 10 10 7 10 9 10 9 6 8 11 10 2 -1 2 6 10 8 3 3 8 8 4 7 10 11 11 11 10 11 10 9 8 6 3 0 3 3 4 6 4 6 3 1 9 15 12 5 1 1 4 13 18 13 10 6 3 1 2 5 8 6 13 20 13 7 7 6 5 5 3 3 4 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 6 6 7 6 5 5 5 5 4 4 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 4 4 5 5 5 4 3 4 4 4 4 3 3 4 4 4 4 3 4 5 6 6 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 4 5 5 6 6 7 8 9 9 9 11 12 15 19 23 21 19 19 18 16 13 13 15 14 14 13 12 11 7 4 4 3 3 3 4 4 4 4 4 4 5 6 5 6 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 3 4 4 5 5 3 2 2 2 3 4 5 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 8 8 7 7 6 7 7 7 6 5 5 5 6 6 6 6 5 5 6 7 8 6 7 8 8 8 7 5 6 5 6 6 6 nan 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 7 7 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 3 3 2 2 3 3 4 5 5 4 4 4 3 3 4 4 5 5 5 5 6 6 5 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 5 6 6 6 5 4 3 4 5 5 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 5 5 6 6 6 6 6 7 8 13 21 28 24 13 9 6 -4 -9 -8 -3 1 2 3 4 5 6 6 6 5 5 5 6 8 9 9 10 10 10 10 11 10 8 5 6 11 11 8 9 12 14 8 11 5 1 8 13 11 4 1 2 6 9 8 6 6 8 9 9 10 9 9 11 10 9 10 9 7 8 11 8 2 0 2 4 6 6 8 3 4 11 11 12 7 6 6 3 11 22 15 8 6 4 0 -1 6 14 10 14 20 11 7 7 6 5 5 4 4 5 5 5 5 5 5 5 4 4 5 6 6 6 6 5 5 6 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 4 3 3 4 4 4 3 4 5 5 6 6 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 6 6 5 5 5 6 5 6 7 9 10 14 14 14 11 9 7 6 5 5 5 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 3 3 4 5 5 5 4 4 4 4 4 4 4 3 3 2 3 4 4 5 5 6 6 6 6 5 5 5 5 6 6 6 5 5 5 6 5 5 5 5 5 7 9 9 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 5 6 7 8 9 8 7 6 6 6 6 5 nan 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 10 11 11 10 9 9 8 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 5 5 5 4 4 4 4 3 2 2 2 2 3 3 4 4 4 4 4 3 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 6 6 6 5 5 4 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 5 5 6 6 5 6 7 7 8 12 20 26 26 17 9 11 4 -11 -12 -6 -1 1 2 2 4 5 5 6 5 4 4 4 5 8 10 11 11 11 13 12 10 9 8 6 6 7 9 9 10 8 3 3 8 4 1 6 7 7 7 8 7 6 4 5 7 6 5 6 10 10 7 7 7 5 5 7 8 4 4 14 14 4 -2 -2 2 6 9 9 8 10 9 6 7 7 9 10 7 11 23 20 9 6 2 -3 0 11 19 13 13 20 14 7 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 6 7 6 5 5 6 7 7 7 6 6 6 6 5 6 6 5 4 4 4 3 4 4 4 3 4 4 5 5 5 5 5 4 4 4 4 3 4 6 6 6 6 5 5 4 3 3 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 4 4 5 5 4 3 4 4 4 3 3 3 3 4 5 5 6 6 6 6 6 5 5 6 6 6 5 5 6 6 6 6 5 5 5 6 7 8 9 9 8 7 6 7 6 6 6 6 6 5 5 5 5 5 5 4 4 5 6 6 7 10 10 9 8 7 7 5 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 10 11 12 13 12 11 11 9 7 7 7 8 8 8 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 3 3 2 1 2 2 3 3 4 3 4 4 3 3 3 3 3 3 3 4 4 4 5 6 6 6 7 6 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 6 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 6 6 6 7 8 9 13 20 26 25 17 7 3 6 -3 -15 -11 -3 1 2 2 3 4 5 6 6 6 4 3 4 5 8 10 12 13 14 15 12 8 7 8 10 8 2 1 9 10 1 -4 5 7 6 0 -1 1 2 8 13 12 10 2 2 6 6 5 7 8 5 5 7 6 1 2 4 6 3 3 10 9 4 -2 -8 0 11 10 8 10 9 4 4 2 1 11 18 16 14 21 24 12 4 -2 -3 5 16 18 12 12 20 15 7 7 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 5 6 6 7 7 6 6 5 5 5 4 5 4 3 3 3 3 3 3 3 3 2 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 3 4 4 4 4 4 5 5 5 4 4 3 4 4 5 4 4 4 4 3 4 4 4 5 5 4 4 4 4 6 5 4 2 2 4 6 5 5 5 5 4 3 3 4 5 5 5 3 3 3 3 4 5 5 5 6 6 6 6 5 6 6 5 5 5 6 6 7 7 5 5 4 5 5 6 8 10 9 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 9 11 11 12 12 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 10 10 11 11 10 8 7 8 9 9 10 10 10 10 10 9 7 7 6 5 5 5 5 6 6 5 5 4 4 3 3 3 4 3 3 3 2 3 3 4 5 5 5 4 4 4 4 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 6 7 7 6 6 5 5 5 5 6 5 5 5 6 6 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 4 5 6 6 5 6 7 9 14 24 30 25 17 10 3 3 -2 -12 -14 -7 -0 2 2 2 3 5 6 6 6 6 5 4 4 6 8 10 13 16 17 14 10 6 5 7 11 11 6 0 -1 1 2 3 6 6 6 2 -3 -3 -2 4 14 15 10 -1 -0 4 6 8 10 7 2 3 7 7 3 1 1 2 2 4 3 1 -0 -1 -6 1 15 13 6 7 4 -2 4 2 -1 9 17 17 16 25 28 14 3 -4 -3 7 15 13 9 12 21 16 7 7 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 5 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 3 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 5 5 5 4 4 3 3 4 4 4 4 4 2 0 1 5 6 4 2 2 5 8 7 5 5 5 3 2 2 3 5 7 5 4 4 3 3 3 4 5 5 5 6 6 5 6 6 6 6 5 5 6 6 7 7 6 5 4 4 4 5 6 8 9 8 8 7 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 5 7 9 11 14 16 17 15 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 6 7 8 8 8 8 8 9 9 10 10 11 13 13 13 11 10 9 9 8 7 7 7 7 7 6 5 5 4 4 4 4 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 5 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 6 7 6 5 6 8 14 26 37 33 18 6 6 7 8 -7 -16 -11 -3 1 2 2 3 4 5 6 6 6 6 5 4 5 6 8 12 16 19 16 11 6 5 4 5 6 7 7 9 7 9 14 8 1 2 6 6 -1 -2 -1 2 14 15 4 1 0 1 4 8 9 6 2 2 5 8 7 3 2 3 2 1 -1 0 4 5 1 2 14 11 2 3 2 -1 7 3 -2 2 12 14 19 31 28 14 3 -2 -2 7 13 10 7 11 21 18 7 7 7 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 3 3 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 6 5 5 5 5 5 5 5 6 6 7 7 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 5 4 4 4 4 4 4 4 5 6 5 5 6 5 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 3 3 3 5 6 6 5 5 4 4 4 4 4 4 4 5 5 1 -3 2 7 4 2 2 7 11 9 6 5 3 2 1 2 5 8 8 6 5 4 4 3 3 2 3 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 6 7 7 8 7 7 7 7 6 6 7 7 7 7 8 8 7 6 6 5 4 4 6 7 9 13 18 23 25 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 5 5 5 6 7 7 7 8 8 9 10 11 13 12 11 10 9 9 9 9 8 8 8 8 7 6 5 5 5 5 6 6 6 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 5 5 6 6 7 7 7 7 8 8 7 6 6 6 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 5 4 5 5 6 6 5 6 7 7 6 6 8 12 22 35 38 25 11 -0 2 7 -4 -17 -16 -6 0 2 3 3 4 5 6 6 6 6 6 5 5 6 7 9 15 21 21 13 7 4 5 6 6 6 4 3 5 7 15 17 6 -3 0 8 11 6 7 7 8 11 9 -0 -0 1 1 2 5 8 8 4 1 3 10 11 6 5 7 8 7 2 3 10 11 4 2 9 5 -2 -2 0 4 12 3 -3 -0 7 10 23 36 27 10 1 -1 1 10 13 9 5 10 20 17 7 7 8 7 6 5 5 4 4 5 5 5 5 5 5 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 4 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 4 3 3 3 4 3 3 3 4 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 5 4 3 4 5 6 6 5 5 5 5 5 5 4 4 5 6 8 5 0 2 6 4 2 4 8 11 9 7 5 4 2 1 3 6 9 8 7 6 5 5 5 5 2 1 4 5 5 6 6 6 6 6 5 5 6 6 6 6 7 6 5 6 5 4 4 4 4 5 6 6 7 6 6 6 6 6 6 7 7 8 8 9 8 7 7 5 5 4 5 6 7 10 14 22 31 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 3 3 3 4 5 5 5 5 5 5 7 8 9 9 8 8 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 6 4 3 3 3 3 4 4 3 3 3 3 3 4 5 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 2 3 3 3 2 2 3 3 4 4 5 6 6 6 7 7 8 8 8 7 7 7 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 7 8 8 7 9 12 18 25 29 25 13 5 -1 -4 -9 -28 -24 -10 -1 2 4 4 5 5 6 5 5 6 6 6 5 6 7 8 12 20 25 18 7 1 1 3 8 10 6 8 8 3 -2 -2 1 -1 -2 3 11 16 18 16 12 10 9 6 0 -1 1 3 3 3 7 9 5 -1 4 14 15 8 4 7 13 13 7 6 12 11 2 1 6 5 -0 -6 -4 7 18 8 -0 -0 1 6 25 37 24 7 0 -1 4 12 14 9 6 12 19 14 6 7 8 7 6 6 5 4 4 5 5 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 4 5 5 5 5 5 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 5 3 3 4 5 5 5 5 6 6 6 6 4 3 4 9 11 8 4 4 5 4 3 4 7 9 8 6 5 4 3 2 3 7 11 7 6 8 5 5 6 9 6 2 3 5 5 5 6 6 6 6 5 5 6 6 6 6 7 7 6 6 6 5 5 4 4 5 5 5 5 6 6 6 5 5 6 6 6 7 8 9 9 9 8 7 5 4 4 5 7 8 11 16 18 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 3 2 2 2 3 4 4 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 6 4 4 4 4 4 3 3 3 2 3 4 4 5 6 7 8 8 7 5 3 2 2 3 3 3 3 3 3 3 3 2 3 2 3 3 3 4 4 5 5 5 6 6 7 7 7 8 7 7 7 7 6 6 5 5 5 6 6 6 5 5 5 6 6 6 5 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 6 7 10 10 10 12 14 17 18 18 15 9 1 -2 -1 -7 -16 -22 -12 -1 3 5 5 5 6 6 6 6 6 6 6 6 6 7 8 10 16 22 21 13 4 -1 3 5 9 11 4 6 9 2 -1 -3 -3 -2 5 7 10 21 26 18 11 8 8 7 2 -0 4 6 6 3 5 9 6 -0 4 15 17 9 3 2 8 10 6 5 11 10 5 2 5 13 11 3 -3 6 15 11 1 2 5 15 29 30 17 5 -0 -0 6 12 12 8 7 13 19 12 5 7 8 7 6 6 5 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 4 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 3 3 3 4 4 4 5 5 5 6 5 6 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 6 5 4 3 4 4 5 5 5 5 5 6 4 3 2 3 6 12 12 6 4 4 4 4 4 5 6 6 6 6 5 4 4 3 6 13 11 5 7 7 6 5 8 9 6 4 4 3 4 5 6 6 5 6 6 5 6 6 6 6 7 7 7 7 6 6 5 4 4 4 4 5 6 6 6 6 5 5 5 5 6 7 8 9 9 10 9 7 6 5 5 7 8 9 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 3 3 3 3 3 3 3 2 2 2 2 2 3 4 4 5 6 6 5 5 5 5 5 6 7 6 6 6 6 6 6 7 8 9 10 10 9 8 6 5 5 4 4 3 3 3 2 3 3 4 4 6 8 9 8 5 3 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 5 5 4 5 5 6 7 7 8 8 7 7 7 6 6 6 6 7 7 6 5 5 5 6 6 6 6 6 5 5 4 4 5 4 4 4 5 5 6 6 6 6 6 10 14 12 15 17 16 16 13 10 6 1 -1 2 5 0 -2 1 3 4 4 6 6 6 6 6 6 6 6 6 7 7 8 9 10 13 20 22 16 11 7 3 6 8 9 7 5 6 5 -1 0 2 5 9 15 7 5 16 20 13 9 7 5 6 5 3 4 8 10 3 2 9 9 3 3 13 16 10 2 -2 1 6 7 4 4 9 10 6 7 13 15 13 5 4 3 11 9 15 16 22 27 21 10 2 -1 -0 5 9 9 7 8 14 20 12 5 6 8 7 6 6 4 3 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 6 5 5 5 5 4 4 4 5 5 5 5 4 4 4 3 3 3 4 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 4 4 5 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 6 4 3 4 5 5 5 4 5 4 3 1 -0 1 1 6 11 9 4 3 3 4 5 5 5 5 6 6 5 5 5 4 4 8 11 7 7 8 7 6 6 7 7 5 3 2 2 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 5 4 4 5 5 6 6 6 6 5 5 6 6 6 7 7 8 10 10 10 9 7 7 7 7 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 3 4 3 3 4 3 3 3 3 3 2 2 2 3 3 5 5 5 5 5 4 4 4 5 6 6 6 6 6 7 6 6 7 9 11 13 13 12 11 9 7 6 5 4 4 3 3 3 3 3 3 4 6 8 7 5 3 2 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 5 6 7 7 7 8 8 7 7 7 6 7 7 7 6 5 5 6 7 7 7 6 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 7 12 16 16 17 14 9 9 9 9 6 9 16 18 15 10 9 8 7 6 6 6 7 7 6 6 6 7 7 7 7 8 10 12 14 17 21 19 12 11 11 8 6 6 6 7 7 6 8 11 10 7 7 9 11 2 1 7 8 6 6 5 2 3 6 5 5 13 11 1 -1 8 12 7 4 10 12 7 2 -1 0 3 5 5 4 7 8 8 8 6 6 10 13 7 -6 3 18 27 23 20 16 8 1 1 -0 -1 4 8 7 6 9 16 19 10 4 6 8 7 6 6 4 3 4 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 4 3 3 3 3 4 5 5 4 5 4 4 4 4 4 5 4 4 4 5 4 4 5 5 5 5 5 4 4 4 5 5 5 6 6 5 5 6 6 6 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 5 5 5 5 5 5 6 8 9 8 6 4 3 4 5 5 4 4 4 4 5 4 1 1 2 0 2 4 4 3 4 5 5 5 5 6 7 6 6 6 5 5 5 5 7 7 7 7 6 6 6 7 7 6 4 3 3 4 5 5 5 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 5 6 6 7 7 8 9 11 11 10 9 7 7 5 6 6 8 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 4 3 2 3 3 3 4 5 6 6 5 4 4 5 6 6 7 7 7 7 7 6 7 8 10 13 14 14 13 13 12 10 9 8 6 6 5 4 4 4 3 3 4 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 7 7 7 7 7 8 6 5 5 5 6 7 8 7 7 6 5 5 5 4 4 5 5 5 5 6 5 6 6 6 9 14 20 19 14 8 5 7 10 11 11 21 29 19 10 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 10 13 15 16 17 17 13 8 8 10 9 6 3 5 7 5 3 8 18 22 15 9 7 1 -2 7 10 3 1 1 -1 1 7 9 7 7 13 10 2 1 6 13 10 5 7 5 0 1 7 9 4 -3 2 12 12 8 11 8 2 1 5 11 12 -7 -9 13 27 25 14 4 -4 -3 1 -1 1 6 8 8 8 9 15 19 11 3 6 8 7 6 6 4 3 4 5 5 5 5 5 5 5 5 4 4 4 6 6 5 6 6 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 3 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 4 4 4 4 3 3 4 4 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 8 9 8 7 4 3 4 5 4 3 3 4 5 8 10 8 6 5 2 -2 0 3 5 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 6 6 5 5 5 7 8 8 6 4 4 4 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 5 6 6 6 7 7 9 10 10 11 11 10 8 6 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 1 1 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 5 6 6 5 5 5 5 5 6 7 7 7 6 6 7 8 9 10 10 11 12 13 13 14 13 12 10 9 8 7 6 6 5 4 4 4 4 4 4 3 4 3 4 4 5 4 4 4 3 4 4 4 4 4 4 4 3 3 2 2 3 2 3 3 4 4 5 6 7 7 7 7 7 7 7 7 5 5 5 6 7 7 8 7 6 6 6 5 5 5 5 5 5 5 6 5 5 5 7 10 14 20 22 15 8 5 6 8 10 10 13 17 15 -1 -5 -0 4 7 9 9 9 9 7 7 7 7 7 8 9 9 10 13 16 16 15 14 12 9 7 3 1 3 6 6 9 10 5 5 7 16 19 11 9 13 -3 2 18 16 3 -0 -1 -3 4 15 12 6 5 7 6 5 5 7 12 9 6 6 -1 -6 3 14 14 5 -2 6 15 11 12 15 7 2 4 6 9 11 2 -7 8 27 21 9 -1 -7 -2 3 2 5 8 8 7 8 9 13 20 15 5 5 8 7 6 5 4 4 5 5 5 4 4 4 5 5 5 4 4 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 5 6 6 5 5 5 6 6 6 6 6 5 5 5 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 7 6 4 3 4 5 4 3 3 4 5 9 15 14 9 8 5 1 0 4 8 10 8 6 6 6 6 6 6 6 5 5 4 4 5 6 6 5 5 5 5 7 8 9 7 4 4 5 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 6 5 5 6 5 5 6 6 6 7 8 9 9 10 11 11 10 8 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 1 1 1 2 2 2 2 3 3 3 4 4 4 4 3 3 2 3 4 5 5 5 5 5 4 4 5 5 5 5 5 6 7 8 8 6 5 6 8 9 11 14 14 13 13 12 10 9 9 8 8 6 4 4 4 4 4 5 3 3 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 3 2 3 3 2 3 3 3 4 5 5 6 6 7 6 7 7 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 5 5 10 17 21 20 15 8 6 6 6 8 10 7 8 3 -11 -16 -8 2 7 9 10 10 9 8 8 8 7 8 8 8 9 10 11 14 16 15 12 10 8 8 7 2 -3 -2 2 6 11 11 8 7 -0 -1 5 11 17 15 -2 10 23 14 3 2 1 -1 10 16 8 4 6 5 6 7 5 7 9 5 1 3 -4 -5 10 19 11 3 5 14 11 5 12 13 6 6 8 4 5 9 16 8 18 31 19 4 -7 -8 5 9 8 9 9 7 6 8 9 12 19 17 7 5 8 7 6 5 4 4 4 5 4 4 4 4 4 5 5 5 4 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 4 4 4 4 4 4 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 2 2 4 4 5 6 6 7 8 7 5 4 2 3 4 5 4 4 3 4 5 8 14 16 10 6 6 2 2 7 10 10 7 6 5 6 5 5 5 6 5 5 4 4 4 5 5 5 5 5 6 8 10 9 7 5 4 5 6 6 5 4 3 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 7 8 9 10 10 11 10 9 9 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 4 3 3 2 2 2 2 1 2 2 2 3 3 4 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 4 4 5 6 7 7 4 3 4 4 6 7 9 10 11 11 11 10 9 8 9 9 8 6 5 5 4 4 4 3 4 5 5 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 5 5 6 5 5 6 5 5 5 6 6 6 7 7 6 6 6 7 7 6 6 6 6 5 5 5 6 6 6 5 6 11 19 21 15 8 6 6 6 6 7 8 6 1 -7 -18 -10 1 6 8 9 9 8 7 7 7 8 8 8 8 9 9 9 11 15 16 14 10 4 3 6 3 2 3 4 5 5 6 8 9 6 -6 -11 -5 4 18 11 3 15 15 7 4 8 3 1 9 8 3 9 12 9 7 7 6 7 8 5 -1 -1 -3 2 16 19 10 4 4 6 4 4 8 7 6 11 12 6 -3 5 23 22 31 32 16 -3 -18 -10 16 25 19 14 10 8 8 8 8 11 18 18 8 4 7 7 7 6 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 6 6 6 6 5 5 5 6 6 5 5 4 4 4 4 3 3 2 3 3 3 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 4 3 3 2 0 -1 -1 -0 2 3 5 7 8 7 6 4 2 2 4 5 5 4 3 3 4 5 7 12 17 10 3 2 2 6 10 10 8 6 5 6 5 5 5 5 6 6 6 5 4 4 4 4 5 4 5 6 9 11 11 8 5 4 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 7 6 6 6 5 5 6 5 5 5 5 5 4 4 4 3 3 4 4 5 5 6 7 7 8 9 9 10 10 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 6 5 5 5 4 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 5 7 6 4 3 3 3 4 5 5 6 8 8 8 8 7 7 8 9 8 7 6 5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 6 5 6 6 8 17 19 11 7 7 6 6 7 8 8 5 -1 -6 -6 2 6 7 8 8 8 7 6 6 7 7 8 9 9 9 9 11 14 16 14 12 9 2 1 1 -2 -1 7 13 12 8 5 7 7 4 1 1 -1 -0 6 4 6 15 11 4 11 19 9 2 3 3 8 15 12 6 4 4 6 9 7 5 3 2 4 10 15 13 7 1 -3 -3 1 6 5 1 4 11 11 6 -1 7 18 26 35 28 13 -10 -22 -5 25 37 31 19 11 8 8 8 8 10 15 19 10 4 6 7 7 6 4 4 4 4 4 4 4 4 4 5 6 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 4 5 5 6 5 5 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 6 6 7 6 6 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 3 4 4 5 4 4 3 2 2 1 2 3 3 3 4 5 5 4 5 5 5 5 5 5 4 4 4 4 3 3 2 2 1 -2 -5 -4 -2 1 6 7 6 4 3 3 4 5 6 5 4 3 4 5 6 7 11 16 14 5 0 3 7 10 9 7 6 6 6 6 5 6 6 6 6 7 6 4 4 4 4 4 4 5 7 10 14 13 9 6 4 4 5 5 5 5 5 5 6 5 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 4 3 3 4 3 3 4 4 5 6 6 7 8 8 9 9 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 7 8 9 9 9 8 8 8 6 5 4 4 3 2 1 2 2 3 4 5 4 4 4 4 3 2 2 2 2 3 3 3 2 3 5 6 6 5 4 3 3 3 4 4 5 5 6 7 7 7 7 8 10 10 9 7 6 5 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 4 5 6 6 7 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 7 7 12 17 14 9 8 7 7 8 9 6 3 1 2 5 8 7 8 8 7 7 6 6 6 7 7 8 9 10 11 13 16 18 16 11 8 9 7 7 8 5 2 5 7 9 9 7 6 3 3 10 17 13 7 1 -3 -2 1 7 5 19 26 8 1 2 8 16 13 6 3 0 2 7 9 5 3 6 8 12 10 6 3 1 -3 -4 -2 3 3 -4 -5 1 7 6 -1 -2 7 9 22 36 27 11 -10 -14 5 24 31 28 18 10 8 8 8 8 10 17 20 11 4 6 7 8 6 4 4 4 4 4 4 4 4 4 5 6 5 5 5 6 6 6 5 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 5 6 6 6 6 6 6 5 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 3 2 1 -0 0 0 1 2 3 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 3 3 4 5 2 -3 -5 -6 -5 -1 3 4 3 3 4 5 6 5 4 3 3 5 5 6 7 11 15 15 6 2 3 7 8 7 6 6 7 6 6 6 6 6 7 7 7 6 5 4 4 4 4 4 4 7 12 16 15 10 7 6 5 6 6 6 6 7 7 6 6 6 5 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 3 3 3 4 4 4 5 6 6 6 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 6 4 3 3 4 5 5 5 5 6 6 5 3 3 2 2 3 3 3 3 3 3 4 5 6 5 4 4 4 3 4 4 4 4 5 6 7 7 8 10 12 13 12 10 9 7 6 5 5 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 4 4 5 7 8 7 7 16 18 11 9 8 8 7 6 2 0 1 5 8 7 7 7 6 6 5 5 5 5 6 7 10 11 13 17 19 20 18 12 7 7 8 8 10 14 13 10 3 4 6 8 6 2 0 3 8 9 6 2 8 11 -0 -8 -1 5 16 15 1 1 8 12 12 8 6 3 0 2 6 7 5 4 4 5 11 6 -1 -1 0 -4 -5 1 8 6 -4 -3 2 4 -1 -6 -2 4 1 15 35 32 11 -6 -4 9 18 19 18 13 9 6 6 6 6 11 18 16 6 5 8 8 8 6 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 5 5 5 4 4 3 3 3 2 2 3 3 4 4 4 2 1 -1 -2 -2 -1 0 1 2 3 4 5 5 5 5 5 4 4 4 4 5 4 4 4 3 3 4 8 8 4 1 -1 -3 -2 2 4 3 3 5 6 5 4 4 4 4 5 5 6 7 8 11 10 5 3 4 6 7 6 6 6 6 6 5 6 5 6 6 7 7 7 6 4 3 4 4 4 4 6 11 16 15 11 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 5 4 5 5 6 7 7 8 10 11 11 8 6 6 7 7 6 6 6 7 7 6 5 6 5 5 4 4 3 3 3 4 4 5 5 5 4 3 3 4 4 4 4 4 4 5 6 7 7 9 12 14 14 14 12 11 10 8 6 5 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 6 5 4 4 5 6 8 8 5 6 18 21 12 9 10 9 7 3 -2 -2 3 5 6 6 6 6 5 4 4 3 4 4 5 11 14 12 17 21 19 18 15 8 7 8 8 5 3 3 7 9 5 1 4 9 7 0 1 4 -0 -5 -1 3 14 23 15 6 2 3 6 1 -2 6 15 12 10 9 8 3 2 3 4 4 4 4 -0 -2 3 3 1 1 2 2 2 5 10 7 3 3 2 -4 -6 -2 0 -2 -1 13 30 33 15 1 4 13 15 14 12 10 7 6 6 5 6 10 13 9 5 8 11 9 8 7 5 4 4 4 4 4 4 4 4 5 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 5 6 6 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 4 3 2 -0 -2 -4 -4 -3 -1 1 2 3 4 5 5 4 5 5 4 4 4 4 4 4 4 3 2 2 4 7 8 6 5 5 3 2 3 4 3 3 5 6 5 4 4 5 6 6 5 6 7 7 7 6 5 4 5 6 5 5 6 6 6 5 5 5 5 5 5 6 7 7 6 5 3 3 4 4 4 6 11 16 13 10 9 9 9 8 8 8 8 8 9 9 10 9 10 10 9 9 9 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 4 4 5 4 4 4 5 5 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 4 3 2 1 1 2 2 3 4 5 8 12 13 10 7 7 9 9 8 8 9 9 7 6 7 9 9 7 6 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 6 8 11 12 13 14 14 12 9 7 6 5 4 4 4 5 5 5 4 5 5 5 5 6 5 4 4 5 6 6 6 5 4 4 4 4 5 5 5 4 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 6 6 4 3 4 6 8 9 7 3 6 19 20 12 10 11 10 9 4 -2 -1 5 5 5 5 5 4 3 3 3 2 3 4 11 18 14 11 18 17 13 14 13 9 8 9 7 3 -3 -4 4 8 8 2 3 9 8 2 6 9 4 6 6 -3 -1 11 15 15 9 3 1 -2 -1 6 13 9 8 11 9 6 3 3 3 3 3 2 -1 -3 -2 2 3 4 7 12 15 11 6 -0 4 6 1 -8 -7 1 -1 -3 5 16 22 21 15 10 12 15 13 11 9 8 7 7 6 5 6 8 10 8 6 9 16 14 8 7 5 4 4 5 5 4 3 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 2 -0 -2 -4 -4 -3 -0 1 2 3 4 5 5 5 4 4 4 4 4 5 4 4 3 2 1 1 5 7 7 6 6 7 6 2 -1 1 4 4 5 5 4 5 5 5 6 6 6 6 7 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 5 4 4 4 4 4 7 13 15 12 10 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 9 8 8 7 7 7 6 6 6 5 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 3 3 1 1 0 1 1 1 1 2 4 8 11 9 7 7 7 8 8 9 10 9 7 6 7 8 8 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 8 10 11 12 11 10 8 8 6 5 5 5 5 6 6 5 5 5 5 6 6 5 5 5 4 5 6 6 6 5 4 4 4 5 5 6 5 3 3 3 4 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 4 4 5 7 9 8 4 1 7 20 21 13 11 11 10 10 6 3 3 5 5 5 4 3 3 2 2 2 2 4 10 21 23 11 12 16 11 10 15 14 11 8 6 2 -1 -0 5 10 9 8 6 4 7 6 2 6 4 8 21 11 -2 0 3 5 10 8 4 3 4 6 6 3 -2 1 8 8 7 5 2 2 3 3 3 4 3 2 4 5 6 10 13 15 13 8 -0 5 7 -2 -6 -3 1 3 6 13 17 12 7 8 14 18 16 11 9 7 6 7 7 6 5 6 8 8 7 7 9 17 16 8 6 6 5 4 4 5 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 5 4 3 3 3 3 4 5 5 5 5 5 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 2 0 -1 -3 -3 -1 0 1 2 2 4 5 5 5 4 4 5 4 4 4 4 3 2 0 -0 0 2 5 6 6 6 7 7 3 -4 -6 1 5 5 5 4 5 6 5 6 6 6 6 6 7 6 6 6 6 6 6 6 4 4 5 5 5 5 6 6 6 6 6 6 7 6 6 5 4 4 4 5 8 13 14 12 9 8 8 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 9 8 8 8 7 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 4 3 2 1 1 2 3 2 1 1 1 4 7 7 5 5 6 7 7 9 10 8 6 5 5 5 4 3 4 5 5 6 6 6 7 7 6 6 6 6 5 4 4 3 2 2 2 3 3 4 4 4 4 3 4 5 6 6 7 8 8 8 8 7 6 6 6 7 6 5 4 5 5 6 6 6 5 5 4 5 5 6 6 5 5 5 4 5 6 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 7 10 10 6 2 -0 10 24 23 14 10 9 9 6 3 -3 -2 3 5 4 3 2 1 1 2 2 2 6 17 25 19 11 11 9 8 14 17 17 13 9 6 2 -1 4 10 13 6 2 4 6 1 -1 1 2 -2 9 21 10 7 11 5 2 4 4 5 7 7 9 8 0 -5 0 8 6 5 4 1 2 4 4 6 8 8 8 8 5 5 9 7 8 15 23 10 6 9 2 1 6 8 10 13 16 14 5 2 5 13 20 18 12 10 7 5 6 7 5 4 6 8 7 6 7 10 17 17 8 6 6 5 5 5 5 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 5 4 3 3 3 3 3 4 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 3 4 4 3 3 3 2 2 1 0 0 -0 1 1 1 2 3 5 6 6 5 4 4 4 4 5 4 3 2 2 -1 -2 -1 1 4 6 6 6 7 8 5 -1 -3 3 5 5 4 5 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 4 1 3 6 6 6 6 6 6 6 6 7 7 6 6 6 5 4 4 5 8 12 13 11 8 7 6 6 6 6 6 5 5 6 6 7 7 8 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 6 6 6 6 6 5 5 6 6 7 6 6 6 5 5 6 6 6 5 4 5 6 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 4 5 4 2 3 5 7 5 4 2 2 2 3 5 4 3 5 6 6 7 8 6 5 4 4 3 2 1 2 4 5 5 6 7 8 9 10 9 8 7 6 4 2 1 0 0 -0 0 2 2 3 3 3 4 4 4 3 3 4 5 6 7 7 8 8 8 8 7 6 6 5 5 5 6 6 6 6 5 4 5 5 6 6 6 5 5 4 4 6 7 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 10 11 9 3 -0 2 18 30 24 13 8 6 5 -4 -6 -11 -7 1 3 2 1 1 1 2 3 3 3 8 20 22 15 10 7 5 8 15 18 18 13 8 10 8 3 3 5 10 3 -1 8 12 3 -2 1 1 5 13 13 2 9 10 3 1 2 3 7 8 7 8 8 4 2 3 8 8 5 4 3 3 4 5 6 8 9 11 9 3 5 12 8 3 14 24 13 5 6 6 10 12 9 10 13 13 7 2 5 7 11 18 19 14 11 7 6 7 6 4 5 7 8 6 5 6 10 18 18 9 4 6 6 6 6 5 5 4 4 3 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 6 5 5 6 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 6 6 6 6 6 5 5 5 4 5 5 6 5 5 5 4 4 3 4 4 4 4 4 4 3 2 2 2 1 1 2 2 2 3 4 5 6 6 5 4 4 4 4 4 3 3 3 3 1 0 2 3 5 6 6 6 7 8 8 3 1 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 5 3 5 7 7 6 7 6 6 6 7 7 7 7 6 5 5 4 5 8 11 12 9 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 7 8 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 4 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 3 7 8 6 4 5 9 10 8 5 4 3 3 3 3 4 4 5 6 6 5 6 5 4 4 5 6 4 3 4 5 5 5 5 7 9 10 11 11 10 7 4 4 4 4 3 1 0 0 1 2 2 3 3 4 4 4 3 3 3 3 4 5 6 7 8 9 9 8 7 7 6 5 5 6 6 6 6 5 5 5 5 6 6 6 6 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 5 5 6 7 7 9 12 10 6 1 2 14 32 33 19 11 6 2 -3 -12 -13 -9 -4 1 1 1 1 1 2 3 3 4 4 9 16 18 13 8 6 6 7 10 13 14 11 6 10 11 8 4 4 12 8 3 7 9 7 4 3 4 12 18 9 1 7 6 2 2 2 4 7 7 6 7 7 5 4 5 7 9 8 5 6 5 5 9 13 10 8 11 9 2 6 16 8 -3 5 11 12 4 -1 4 12 11 8 9 10 8 5 9 10 6 9 14 17 16 12 8 7 7 5 5 6 8 7 5 4 5 12 20 19 9 4 5 6 7 6 6 5 4 4 3 4 4 4 4 5 5 4 5 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 3 2 2 2 2 2 3 3 3 4 6 7 6 5 4 5 5 5 4 3 3 5 5 5 5 5 6 6 6 6 6 7 8 9 7 -1 -1 5 6 6 6 6 5 5 4 5 4 5 6 6 6 6 6 6 6 7 8 11 10 6 5 7 7 7 7 6 6 6 7 7 8 7 7 5 5 5 6 8 10 9 8 6 6 6 7 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 7 8 9 10 10 9 8 7 7 7 7 6 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 9 10 8 5 7 10 12 10 6 4 4 4 3 4 4 5 6 6 5 5 4 4 4 6 8 9 10 10 8 7 6 5 6 6 7 8 8 8 7 5 5 7 9 10 10 7 6 5 4 3 3 3 4 5 5 5 4 4 4 4 3 3 4 6 7 8 9 8 8 7 7 6 6 6 7 7 6 6 5 5 6 6 7 7 6 6 5 5 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 9 10 11 9 6 5 11 27 37 28 13 6 1 -3 -9 -18 -16 -7 -2 -0 -0 0 1 1 2 3 4 5 5 7 11 15 15 11 10 12 10 6 5 8 10 6 8 12 13 6 9 11 11 13 9 0 2 4 5 11 14 9 4 10 9 1 2 3 5 7 7 6 5 5 5 3 3 6 7 8 8 3 7 10 10 14 20 10 2 5 5 1 6 16 14 5 5 7 12 8 2 3 8 8 2 9 10 3 8 22 17 5 8 12 14 13 12 9 8 7 6 7 8 7 6 5 4 7 16 22 16 6 3 5 6 7 7 6 5 4 4 3 4 4 4 4 5 4 4 5 6 6 6 6 5 5 5 5 4 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 3 3 4 4 6 7 7 6 5 4 4 4 5 4 3 3 5 7 7 7 7 7 6 7 7 7 8 8 9 9 5 2 5 6 6 6 6 6 5 5 5 4 5 6 7 6 5 5 5 5 5 6 7 5 1 4 6 6 6 6 7 7 7 7 8 8 8 7 6 5 5 6 7 8 9 8 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 7 7 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 9 9 10 11 9 6 7 10 13 12 8 6 5 6 6 5 5 6 7 6 5 5 4 4 5 5 8 12 15 17 13 9 6 5 5 4 4 4 3 4 4 3 5 9 14 16 15 13 12 11 7 6 6 6 5 5 5 5 5 5 4 4 3 3 4 5 6 7 8 8 8 8 7 7 7 7 6 7 6 6 5 6 6 7 8 7 7 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 7 8 9 10 10 10 11 13 17 23 26 21 12 4 -1 -4 -13 -20 -15 -6 -2 -1 0 1 1 2 3 4 5 6 6 6 8 15 19 15 14 18 16 8 3 7 11 8 7 14 15 9 10 4 8 10 9 4 -0 -1 6 14 9 0 9 16 6 2 4 4 6 8 7 5 3 4 4 5 7 8 6 5 5 2 7 14 12 9 12 4 -3 -0 2 3 8 13 14 15 13 3 6 12 10 5 4 7 4 8 4 -2 10 28 21 7 8 12 12 11 12 11 9 8 8 9 9 7 5 4 5 12 21 21 11 3 3 5 6 7 7 6 5 5 4 4 4 4 4 5 4 4 4 5 6 6 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 3 3 3 2 3 4 5 6 8 8 8 6 5 4 4 4 3 3 3 3 3 4 5 7 7 7 7 8 8 8 8 8 9 8 6 4 5 6 6 6 6 6 5 5 4 3 4 6 6 6 5 5 5 4 4 5 6 3 -4 1 6 6 6 7 7 7 7 7 8 9 9 8 7 6 5 5 7 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 7 9 9 9 9 8 8 8 7 7 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 13 10 9 9 8 6 5 8 13 14 12 9 8 8 8 8 9 8 8 7 6 5 4 4 5 5 6 10 15 17 14 9 6 4 3 3 2 1 1 1 2 2 3 7 12 14 14 13 13 12 10 8 8 8 6 5 5 6 6 5 5 4 4 4 4 4 5 5 6 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 8 8 7 7 6 6 6 5 5 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 5 6 7 7 8 9 10 12 13 15 16 16 14 13 14 12 7 4 -3 -17 -19 -12 -4 -1 0 1 2 3 4 5 5 6 6 7 7 10 20 23 16 13 17 17 10 6 7 8 6 7 12 14 12 5 6 9 3 12 12 0 -2 7 11 3 7 22 18 5 8 7 6 5 7 6 3 3 6 7 9 11 10 5 1 3 3 5 9 5 8 8 0 -2 2 6 8 10 11 7 5 4 1 5 10 9 5 2 4 17 11 3 5 15 22 17 9 10 13 12 11 12 11 9 8 8 8 8 6 4 3 6 15 24 18 7 3 4 5 6 7 8 6 5 4 4 4 4 4 4 4 4 4 4 5 6 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 4 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 6 8 10 10 8 6 4 4 4 4 3 2 1 -1 -2 1 5 6 6 6 7 7 8 8 9 9 9 7 2 -0 4 6 5 5 6 6 5 5 4 2 1 3 4 3 3 4 4 4 4 4 6 8 5 1 6 6 7 7 7 7 7 8 8 9 9 8 8 6 5 6 6 8 8 7 7 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 4 5 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 12 10 9 8 6 5 4 6 9 12 12 11 10 10 12 14 13 11 9 7 6 6 6 5 4 4 4 5 9 12 10 7 5 4 3 3 3 3 3 3 2 2 3 4 6 8 8 9 11 11 9 8 7 7 6 5 6 7 7 6 5 4 4 4 4 4 4 4 5 6 6 7 8 8 8 8 8 7 6 6 6 6 6 7 8 8 8 7 6 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 4 5 5 6 7 8 9 9 9 12 16 13 9 12 20 18 9 7 11 11 6 -7 -21 -18 -7 -2 0 1 3 4 5 6 7 7 7 7 9 11 18 26 22 13 10 12 14 12 9 6 3 2 6 6 9 12 4 11 7 6 11 7 -4 3 13 10 1 7 13 9 6 10 9 6 6 7 4 1 4 10 11 11 11 10 5 1 3 3 2 2 0 11 11 6 4 7 11 11 10 8 4 -4 -5 3 10 11 7 2 2 2 13 10 10 18 19 15 11 10 12 13 12 12 12 11 8 8 8 7 7 6 4 3 7 18 23 14 5 4 4 5 6 7 7 7 5 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 5 5 5 4 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 3 3 3 3 4 5 5 5 4 4 5 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 4 5 6 8 11 12 10 8 5 4 4 3 3 3 1 1 -1 -3 1 5 5 6 6 5 6 8 8 8 9 8 8 4 0 2 5 4 5 5 6 6 6 6 5 2 1 1 1 -0 -1 1 3 3 4 3 6 10 6 5 7 7 7 7 7 7 7 7 8 8 9 8 7 6 5 6 6 7 7 6 6 6 6 7 7 6 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 5 6 6 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 8 6 5 5 5 5 5 7 9 9 9 10 13 15 14 11 9 8 7 7 7 6 4 4 3 3 4 6 7 6 6 6 7 8 8 7 7 7 6 5 4 3 3 4 5 7 9 10 9 7 6 5 5 6 6 7 8 7 7 6 5 5 4 3 4 4 4 4 5 6 6 6 6 7 8 7 7 6 6 6 6 7 7 7 8 7 6 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 5 5 6 8 11 15 14 11 11 15 14 5 1 9 24 25 13 4 4 5 -4 -17 -23 -13 -2 0 1 2 5 6 7 8 9 8 9 14 18 19 24 22 16 13 11 11 12 14 11 7 4 3 3 5 6 2 -3 -0 -0 7 3 -4 -7 7 17 10 -0 -1 -0 6 12 9 8 4 5 7 4 1 5 12 14 13 11 10 6 3 4 3 4 4 -0 4 1 5 7 12 17 13 8 5 0 -1 5 7 8 18 17 3 1 8 4 5 15 19 16 10 6 11 14 13 11 11 11 9 7 8 8 7 7 5 3 3 7 19 22 12 5 5 5 6 6 7 7 6 5 5 4 4 4 4 4 4 4 5 5 5 6 7 6 6 6 6 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 3 2 3 4 5 6 6 5 5 4 4 4 5 5 5 5 6 6 5 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 3 4 4 6 9 11 13 13 10 7 4 4 4 3 3 2 2 2 3 3 4 5 5 4 5 5 6 8 9 8 7 7 8 7 5 6 5 4 4 4 5 6 6 8 10 10 8 6 5 3 2 3 4 3 5 6 7 6 6 6 6 6 7 6 6 6 5 5 6 7 9 9 8 7 6 5 5 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 6 6 6 6 4 3 5 5 6 7 9 11 11 9 9 9 9 8 8 7 6 6 5 4 3 5 6 6 7 10 14 15 13 11 10 10 9 7 5 3 2 3 4 6 8 11 10 6 4 4 5 6 6 7 8 8 7 7 6 6 6 5 5 4 4 5 5 6 5 5 5 6 8 8 7 7 6 6 6 6 5 6 6 7 6 6 5 4 4 5 5 5 5 5 4 3 3 3 4 5 5 6 6 8 14 20 23 19 14 10 10 7 0 -1 6 17 17 7 -5 -10 -15 -19 -21 -15 -4 0 1 2 4 7 7 8 9 10 10 14 23 23 20 17 12 11 14 12 13 15 15 11 9 8 4 2 7 4 -5 -4 -1 -1 -1 -2 -3 -2 6 15 7 0 0 2 8 10 8 9 5 3 4 5 4 7 11 15 15 14 12 8 6 7 8 7 3 -1 -1 -1 1 5 12 19 13 9 5 3 8 12 7 7 23 25 5 1 7 -1 6 18 18 13 7 5 10 15 14 12 11 10 8 7 8 8 7 7 6 4 3 7 18 22 12 6 6 6 6 6 6 7 6 5 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 4 5 6 6 6 5 4 4 4 4 5 5 6 6 6 6 5 5 5 6 6 6 6 5 5 5 6 6 7 6 6 5 5 5 5 5 4 4 4 4 3 4 6 9 12 14 15 13 9 5 5 4 4 3 1 -0 -1 -0 4 6 5 5 5 5 5 6 6 8 9 9 8 7 8 8 10 8 4 3 3 4 5 5 6 7 10 13 13 12 10 9 11 9 4 3 6 10 8 5 5 6 6 6 6 5 4 4 4 4 5 5 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 6 6 5 4 3 3 3 3 4 5 6 7 7 8 8 9 8 7 8 9 10 9 8 6 5 5 5 7 13 19 19 14 10 9 9 7 5 4 4 4 4 4 5 8 11 10 6 4 4 5 6 6 7 8 8 8 7 8 8 8 8 8 7 6 6 6 6 6 6 5 6 7 7 7 6 6 6 6 5 5 5 5 6 7 6 6 5 5 5 5 6 5 5 4 4 4 3 4 5 5 6 9 15 22 23 19 15 10 7 8 6 1 -0 5 9 3 -6 -14 -22 -25 -18 -10 -4 0 1 2 4 6 8 8 8 10 12 15 21 25 19 12 10 8 8 10 9 12 14 11 11 11 8 3 6 13 8 2 5 9 5 -2 -2 4 6 6 13 5 1 2 3 3 2 5 8 5 3 4 6 6 6 8 13 16 18 14 8 8 12 12 6 3 2 2 9 8 1 9 17 15 12 5 6 13 13 6 6 15 13 5 8 10 2 8 19 19 13 6 5 9 14 14 13 12 10 7 8 7 7 7 7 6 4 3 6 16 22 14 6 7 7 6 6 6 7 6 5 4 4 5 4 4 4 5 5 4 5 5 6 6 6 6 6 5 5 4 4 4 4 3 3 3 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 5 6 6 6 6 5 4 4 5 5 6 6 6 7 6 6 5 5 5 5 6 7 7 7 6 5 6 7 7 6 5 5 5 4 5 5 4 4 4 4 4 6 8 12 14 15 14 11 8 5 4 4 3 1 -0 -2 -5 -3 1 5 6 6 6 6 7 7 6 5 7 10 9 8 8 9 10 5 4 3 4 5 5 6 6 6 8 9 9 9 8 9 12 10 7 4 5 7 7 5 6 5 5 5 5 4 4 3 3 4 4 4 5 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 6 6 6 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 4 4 9 18 20 17 10 7 5 7 7 11 15 14 10 8 6 11 15 12 7 8 16 20 22 15 10 3 9 16 23 26 24 20 16 14 10 5 3 5 7 9 12 13 10 7 7 9 11 11 14 19 22 21 20 16 13 12 10 8 7 8 10 13 13 14 13 13 12 13 14 15 13 11 12 15 17 20 20 20 21 20 18 18 17 14 11 10 10 8 7 8 9 10 10 11 13 14 14 13 10 10 11 11 11 11 13 14 12 11 11 12 15 15 15 15 14 16 20 20 17 14 12 12 12 12 11 10 10 11 11 9 9 10 12 12 12 12 11 10 10 10 11 13 13 13 13 12 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 11 12 11 10 9 9 11 14 16 17 14 13 12 12 12 12 11 11 10 11 11 11 11 10 10 11 12 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 10 12 13 13 11 10 9 10 11 12 12 11 12 12 11 12 14 14 12 11 12 12 12 11 10 8 8 11 16 17 15 12 11 11 11 11 12 11 11 12 12 12 11 11 11 12 12 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 12 11 11 12 12 12 11 10 8 8 8 7 8 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 13 13 14 14 14 12 12 13 13 12 11 9 8 9 10 12 13 13 13 14 13 13 13 14 14 14 14 15 14 12 13 17 18 16 14 13 12 11 10 10 11 10 11 14 18 21 21 19 16 15 15 14 13 12 12 12 11 11 11 12 12 12 13 13 14 14 13 12 12 13 13 13 14 14 14 13 14 14 14 13 13 13 13 13 14 16 19 18 17 13 12 13 14 14 13 13 13 13 11 10 10 12 13 13 13 14 14 14 14 14 14 14 13 13 13 13 13 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 1 6 13 17 13 10 4 7 16 33 30 9 7 8 13 16 18 15 12 13 17 22 25 25 21 16 15 13 6 2 3 6 9 14 18 18 15 12 10 10 11 12 14 15 13 13 14 11 9 9 9 8 9 11 12 12 13 13 13 13 12 12 15 18 18 16 16 17 17 18 21 21 20 17 15 17 18 15 12 9 7 7 6 6 7 9 10 10 11 14 15 14 13 13 12 12 12 12 13 14 14 14 15 16 17 17 18 19 19 20 22 19 16 14 13 12 12 11 12 12 11 11 11 11 10 9 10 10 11 11 11 10 9 10 10 11 11 11 11 11 11 11 12 13 13 13 13 12 12 11 12 11 10 11 12 12 12 11 11 11 11 10 10 9 8 9 10 11 10 9 8 8 10 15 19 18 16 14 13 12 12 11 10 11 11 11 11 11 10 11 11 12 11 11 10 11 12 12 12 12 12 12 12 12 11 11 10 10 12 13 13 12 11 9 8 8 10 12 13 12 10 9 7 11 16 14 12 12 13 13 13 12 8 5 7 11 14 13 13 14 13 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 5 5 10 13 13 13 13 13 13 12 12 12 12 11 12 12 12 13 12 12 12 12 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 13 13 13 13 13 13 14 14 13 14 14 14 12 10 8 7 8 9 11 12 13 14 13 13 14 14 14 15 15 15 15 16 17 17 17 17 17 17 15 15 14 13 11 11 12 11 11 11 12 13 14 13 13 13 13 14 14 13 13 13 12 12 12 12 12 13 13 13 14 14 13 13 12 13 14 14 14 14 13 13 13 13 13 13 13 13 12 13 15 18 19 17 14 13 13 14 14 14 14 14 13 12 11 11 11 12 13 13 13 13 14 13 13 14 13 13 13 12 12 13 13 14 14 15 nan
nan nan nan nan nan 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 6 18 32 22 11 9 9 5 3 1 3 7 19 22 21 18 16 14 11 11 9 5 5 9 12 15 17 19 18 17 14 10 7 5 6 7 8 4 4 7 7 7 7 6 7 10 14 13 11 12 12 12 12 13 14 17 20 19 15 14 13 13 13 12 11 9 8 9 13 14 14 11 8 6 6 7 7 7 8 9 11 13 14 16 16 16 16 15 15 14 13 11 10 9 10 10 11 12 14 15 18 19 21 21 18 16 13 12 11 12 11 12 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 11 12 13 13 14 13 13 12 12 12 12 11 11 11 11 11 12 13 13 12 11 11 10 9 8 8 8 9 10 10 10 9 6 6 8 12 16 17 17 16 13 11 11 11 11 11 10 11 11 11 12 12 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 11 12 12 12 13 12 11 10 9 8 9 11 12 13 11 9 5 8 14 13 12 11 11 12 13 15 13 9 7 8 9 11 12 13 14 13 12 11 11 11 11 12 12 13 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 12 12 13 13 13 12 13 14 14 12 10 8 8 9 10 10 12 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 13 12 12 13 12 13 12 12 13 12 13 13 13 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 13 13 13 13 13 14 14 13 14 14 15 15 15 15 15 15 13 11 11 12 13 13 14 13 13 13 13 14 14 14 15 15 15 15 16 17 18 17 17 17 15 14 14 15 14 14 13 12 11 11 11 11 11 11 12 13 14 13 13 13 13 13 13 12 12 12 13 13 13 14 14 13 14 13 12 13 14 14 14 14 13 13 12 12 11 12 12 13 13 12 13 14 16 18 18 15 13 13 13 14 14 14 15 15 13 12 12 11 12 12 13 13 14 13 13 12 13 14 14 14 13 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 6 5 10 17 23 23 19 13 10 8 5 3 3 5 9 14 18 19 17 16 14 14 13 11 7 2 0 -0 2 3 4 5 7 7 8 8 11 13 14 12 12 11 13 14 14 14 15 18 19 16 11 9 7 6 6 6 7 6 8 9 12 14 14 11 7 6 7 11 11 11 11 13 16 18 17 16 17 18 19 19 17 16 13 12 11 9 9 5 2 4 7 10 13 16 18 18 17 15 13 13 13 12 10 11 12 12 12 11 12 11 11 11 12 11 10 10 11 12 11 11 10 10 10 10 11 12 13 13 13 11 11 11 10 10 9 10 10 11 11 11 12 12 12 11 11 11 10 9 9 8 8 8 9 9 10 11 10 8 6 6 9 13 17 18 14 12 12 11 11 11 10 10 11 11 12 12 11 11 11 10 11 11 11 10 9 10 13 14 13 12 13 13 13 12 12 12 11 11 11 10 9 10 11 12 12 11 10 8 9 11 11 12 12 11 11 12 14 15 13 10 9 8 9 10 11 13 13 12 11 10 11 11 11 12 13 12 12 11 11 12 12 13 13 12 12 12 12 13 13 13 13 12 11 11 11 11 12 12 12 13 13 12 13 13 13 13 13 11 10 10 10 10 11 13 13 13 14 13 12 13 13 12 13 13 12 13 13 12 13 13 12 13 13 13 13 13 13 13 13 12 12 13 13 13 13 12 12 12 13 12 12 13 12 12 12 12 12 11 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 15 16 16 16 15 15 14 14 14 14 15 15 14 14 14 14 14 14 14 14 14 14 15 15 15 15 16 17 17 16 15 13 13 13 13 13 11 12 12 12 11 12 12 12 12 13 13 13 13 13 12 12 13 13 13 12 13 13 13 13 14 14 15 14 14 13 13 14 14 15 14 13 12 12 12 12 12 13 12 12 13 14 15 16 17 16 14 14 14 13 13 13 14 15 15 12 11 11 12 13 12 13 14 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 7 5 4 8 9 11 15 17 18 17 14 13 11 12 13 14 11 6 3 3 7 11 13 13 12 13 16 18 18 17 15 14 14 16 17 16 15 15 17 16 11 8 7 7 5 4 4 5 7 9 12 14 15 15 14 11 11 11 13 16 18 18 20 22 22 17 11 12 18 20 21 19 17 16 15 14 14 13 12 9 7 7 8 12 15 15 14 13 13 13 12 13 12 10 10 10 10 11 12 12 12 11 11 11 10 10 11 13 13 13 12 11 9 9 10 11 11 12 12 11 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 10 11 10 10 10 9 9 9 8 9 10 11 12 11 9 7 5 6 14 18 16 15 13 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 9 6 5 9 15 14 12 15 14 13 12 13 12 11 10 9 10 11 11 11 11 11 10 9 9 9 10 10 11 11 11 11 12 13 13 12 11 10 10 10 9 9 11 11 12 11 10 11 11 12 12 13 13 13 12 12 12 13 13 13 13 12 12 13 13 13 12 13 13 12 12 12 12 12 13 13 14 13 13 12 12 12 12 12 11 10 12 13 13 13 13 13 12 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 14 14 14 14 13 14 14 13 13 14 15 16 16 14 13 13 14 14 14 14 14 14 15 14 14 13 14 14 15 15 15 15 15 15 15 16 16 16 17 17 17 14 12 12 12 11 11 12 12 12 12 12 12 12 12 13 13 12 12 13 12 12 12 13 13 13 14 14 14 15 14 14 13 14 14 14 14 15 15 14 13 12 12 13 12 12 12 13 13 13 14 14 15 14 14 14 15 15 13 11 11 12 14 15 12 11 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
nan nan nan nan nan nan nan nan 6 6 7 11 13 15 19 23 23 23 22 21 20 20 25 34 45 54 57 60 63 67 69 70 67 61 54 48 44 44 44 43 36 31 28 26 27 24 19 12 5 2 3 6 9 13 15 12 10 10 7 4 4 5 5 6 7 8 8 8 6 4 4 4 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 10 12 12 13 19 24 17 21 33 42 43 41 40 40 42 46 56 61 62 66 77 92 100 100 96 99 110 119 127 134 135 133 130 127 124 119 113 104 90 73 57 43 37 41 44 46 44 39 30 18 10 9 8 9 8 5 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 8 23 46 82 111 112 99 102 123 134 119 102 105 98 76 67 85 112 125 130 131 128 126 126 130 128 125 129 130 136 141 138 138 139 142 137 131 135 149 167 179 164 149 139 122 115 140 160 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 7 8 9 10 13 16 19 20 21 21 19 15 16 20 27 39 48 54 59 62 63 62 60 56 54 53 52 52 52 47 38 30 26 23 23 22 19 14 9 7 8 10 12 15 16 13 10 11 7 4 4 4 4 5 6 6 7 8 7 5 4 4 4 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 12 13 14 16 18 22 26 28 35 40 42 42 41 39 36 36 42 49 51 49 51 61 77 89 91 90 93 98 103 110 118 124 125 120 114 109 104 101 96 85 64 44 37 37 40 43 42 38 31 21 11 8 8 7 6 6 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 2 12 30 64 102 114 100 91 107 129 136 128 116 105 97 101 114 121 123 123 123 121 118 114 114 116 112 108 108 107 112 120 128 139 144 142 136 141 153 165 171 160 153 140 119 107 123 146 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 4 5 5 5 6 7 8 10 12 14 15 13 12 13 14 16 24 33 41 48 56 60 60 59 55 53 53 53 53 54 50 42 33 27 24 20 17 15 14 14 13 12 13 13 15 15 13 12 12 9 7 4 4 4 5 5 5 6 6 7 6 5 4 4 4 4 3 3 3 3 3 3 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 14 16 18 18 19 21 24 26 29 32 36 38 37 34 30 30 36 42 41 38 41 53 68 79 82 80 79 82 85 89 97 105 109 109 104 99 96 93 87 74 53 37 35 36 36 36 34 29 21 13 7 7 7 6 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 4 19 41 71 105 116 105 92 96 114 130 139 134 124 121 124 128 130 128 127 124 122 122 119 113 108 100 101 101 99 98 104 116 130 140 145 143 147 156 161 155 147 143 134 113 95 102 130 157 169 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 3 3 4 4 4 5 5 6 8 10 10 10 11 12 14 19 24 31 39 47 52 56 57 54 54 53 51 53 51 45 38 32 29 22 17 14 14 15 15 14 14 14 16 16 14 13 11 9 7 6 4 5 5 4 4 4 5 5 7 6 6 5 4 4 4 4 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 6 14 18 20 20 20 20 21 22 23 25 30 35 31 24 19 19 22 27 30 32 39 53 67 75 75 70 66 67 68 71 78 86 91 92 92 89 84 81 72 56 41 34 34 28 24 28 24 19 14 9 8 8 8 8 7 7 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 4 22 51 80 103 117 119 110 99 96 103 113 130 146 145 141 138 136 135 132 130 128 128 128 130 128 124 119 116 109 102 96 94 99 109 123 135 142 147 153 154 143 132 133 131 110 88 88 113 145 165 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 4 4 2 1 1 2 4 3 2 2 2 4 6 8 8 8 7 7 9 11 12 17 24 31 40 49 52 54 54 51 50 51 46 41 36 30 25 21 17 16 16 15 14 15 16 18 18 16 14 11 8 7 6 5 4 4 4 4 4 4 4 6 7 7 7 5 5 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 2 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 3 11 16 18 18 18 17 18 19 18 18 25 31 24 13 10 8 6 8 19 33 44 58 71 75 70 61 55 55 55 56 61 68 72 73 72 68 63 60 51 35 24 23 25 12 12 14 14 16 14 11 12 12 12 11 9 9 10 9 9 8 4 1 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 2 2 1 2 11 33 67 98 120 123 112 103 98 100 102 102 109 126 139 143 142 138 135 131 126 124 126 127 129 132 136 141 141 132 112 94 88 86 89 98 117 138 151 155 152 138 129 131 133 116 89 79 97 131 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 3 4 1 0 0 1 4 4 2 0 0 0 2 4 6 7 4 3 3 5 6 8 10 14 22 31 40 47 51 50 48 50 46 43 39 32 29 28 22 20 18 16 15 16 17 18 19 19 16 13 9 6 6 4 4 3 3 3 3 3 3 4 5 7 7 7 6 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 4 7 9 10 11 12 13 15 19 21 24 24 16 7 3 2 0 3 17 38 52 66 79 81 70 52 41 40 43 41 42 43 50 50 44 38 37 35 23 13 6 6 5 1 3 7 11 15 15 14 15 14 13 11 9 9 9 9 9 9 6 1 0 0 0 0 2 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 4 2 15 37 63 91 120 129 111 91 90 100 106 107 107 110 120 129 133 134 132 126 120 116 114 114 115 118 125 140 154 156 142 114 94 83 80 83 98 125 151 162 155 137 125 126 133 128 101 77 84 121 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 2 3 2 0 0 0 3 5 4 2 1 0 0 1 4 5 5 2 1 1 3 4 5 7 10 13 20 28 35 38 39 41 43 43 41 38 35 34 28 23 22 20 18 16 16 17 18 19 19 15 11 8 6 4 4 3 3 3 3 3 3 3 4 5 6 7 7 6 5 4 4 4 4 4 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 6 11 15 19 22 23 21 16 7 0 0 0 5 23 45 60 72 81 77 61 38 20 16 18 19 20 22 27 25 27 26 21 14 4 0 0 0 0 0 0 0 4 10 13 13 12 12 12 11 10 10 9 7 6 4 2 0 0 0 0 0 1 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 4 10 9 0 9 39 56 82 114 134 121 89 82 95 109 117 120 117 115 118 122 126 130 129 123 118 112 107 102 97 99 110 129 150 162 151 123 92 79 80 86 102 134 156 155 140 123 122 130 133 122 101 90 110 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 2 6 6 2 0 0 2 4 3 2 2 1 0 0 1 2 3 3 2 0 1 1 2 3 4 4 6 12 17 18 18 23 30 36 38 39 37 36 33 27 26 24 20 16 15 16 17 18 19 18 14 11 8 6 5 4 3 3 3 3 3 3 3 3 5 7 7 7 6 5 5 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 12 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 0 0 0 0 0 0 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 17 20 21 20 17 12 4 2 2 4 14 32 46 55 66 72 69 51 22 6 2 1 3 4 5 2 3 8 5 5 2 0 0 0 0 0 0 0 0 0 4 6 5 4 5 5 6 9 10 9 5 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 4 3 0 0 0 6 5 8 18 34 48 73 107 137 138 106 83 90 107 116 119 118 112 108 108 112 120 132 138 136 133 130 122 109 93 85 89 109 147 165 150 110 86 84 88 93 110 130 140 140 133 123 123 133 138 127 105 103 136 163 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 2 6 10 4 1 0 0 0 1 1 2 1 0 0 0 0 0 1 2 1 1 1 1 0 1 2 2 7 9 7 4 6 12 21 29 34 33 31 29 26 26 24 19 14 14 15 16 17 18 19 18 13 10 8 7 5 4 3 2 3 3 3 4 4 5 6 7 8 8 7 6 5 4 4 4 4 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 13 20 18 13 7 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 0 0 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 13 17 18 17 16 14 12 10 7 6 10 20 32 39 44 53 64 64 44 13 6 2 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 3 7 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 2 2 1 0 0 2 7 20 29 34 45 66 96 132 151 134 101 89 100 108 104 97 89 87 85 84 87 99 114 128 133 138 138 135 115 92 78 80 105 136 147 128 102 90 94 100 106 114 126 137 142 131 121 132 146 145 125 110 130 161 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 2 2 4 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 6 3 1 1 6 9 12 16 17 16 16 17 18 14 12 13 16 17 17 16 17 16 14 10 8 8 7 6 5 4 4 3 4 5 5 5 6 6 8 8 8 8 7 6 5 4 4 4 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 9 16 24 25 21 15 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 10 15 15 12 10 10 11 13 13 12 11 13 19 24 26 30 39 53 56 48 20 13 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 0 1 3 4 1 0 0 2 15 29 35 44 57 79 116 155 159 127 98 96 100 91 81 72 72 72 73 72 78 83 95 106 111 113 115 114 106 94 82 83 103 130 138 119 99 98 106 110 114 122 136 149 140 124 129 147 152 139 124 133 166 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 2 3 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 5 2 1 2 3 4 5 5 6 7 9 11 11 12 14 16 18 18 17 15 13 11 9 8 7 7 6 6 6 6 6 6 7 7 6 6 6 6 7 8 8 8 8 7 5 4 4 4 4 4 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 11 19 26 29 28 24 19 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 6 2 0 0 1 6 12 15 12 6 2 4 8 12 15 16 16 17 18 18 17 18 21 33 33 36 25 20 18 10 3 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 1 3 5 7 7 5 2 1 0 8 26 36 43 51 63 90 134 159 147 119 100 94 88 80 73 73 75 80 85 87 85 90 95 95 94 91 94 99 98 90 79 81 106 131 129 112 105 108 113 117 123 136 151 146 128 127 145 156 150 137 142 162 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 2 2 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 1 4 7 8 5 2 1 1 1 2 1 2 3 5 9 12 13 14 15 16 17 17 16 14 12 10 9 7 6 6 6 6 6 6 6 7 7 7 7 6 5 6 6 8 8 9 8 8 7 5 4 4 4 4 4 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 10 14 18 19 23 27 30 23 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 13 16 10 4 1 0 1 6 13 14 8 2 0 0 3 10 14 19 21 20 17 15 14 15 17 14 14 17 19 20 19 16 9 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 1 0 0 0 0 1 3 6 9 12 13 8 5 6 15 30 38 43 47 51 64 101 142 148 132 110 97 88 78 75 75 78 87 92 95 92 95 97 93 91 90 88 91 94 89 79 74 83 106 122 114 106 108 115 119 126 138 151 146 133 131 141 149 150 144 144 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 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 1 3 6 8 7 3 0 0 0 0 0 0 2 5 8 10 12 14 14 15 15 15 16 16 15 13 11 8 6 6 6 6 6 6 6 6 6 7 7 6 5 5 5 6 7 8 9 9 9 8 6 5 4 4 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 6 9 11 15 19 21 21 24 28 30 22 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 0 0 0 0 0 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 7 10 13 16 15 8 3 1 0 0 4 11 11 6 2 1 0 1 6 11 17 20 18 16 12 9 6 8 8 6 8 9 9 11 10 4 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 1 2 0 0 0 0 1 4 9 16 24 19 13 14 22 36 42 43 46 46 51 72 108 128 126 112 100 91 80 76 77 82 91 100 104 102 101 97 90 86 86 91 96 98 89 74 67 69 86 106 103 97 105 116 121 126 139 153 150 141 138 140 139 138 138 138 138 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 4 6 7 6 4 1 0 0 0 0 0 2 5 6 7 8 11 14 14 14 14 14 14 15 15 13 10 8 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 8 9 9 10 9 8 7 4 4 4 4 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 15 20 22 24 26 29 29 28 18 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 1 4 7 11 13 13 14 15 16 15 8 2 1 0 0 0 3 10 11 7 6 5 3 3 5 6 8 11 11 8 3 1 0 0 0 0 1 1 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 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 27 29 23 22 26 38 45 47 48 49 51 60 79 98 104 101 95 89 84 82 85 89 95 103 110 114 113 103 91 84 83 86 100 110 103 75 62 64 77 92 92 91 100 116 125 125 135 152 158 151 147 144 134 128 127 127 129 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 1 3 5 6 5 3 1 0 0 0 0 0 0 0 0 0 1 0 0 1 2 2 1 0 2 3 5 6 6 4 1 0 0 0 0 0 1 3 4 4 6 10 13 13 13 13 13 13 14 16 15 12 11 9 8 8 9 9 10 9 8 8 6 5 5 5 6 6 6 7 8 8 8 9 10 10 10 8 7 5 4 4 4 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 10 11 16 21 22 25 27 29 30 25 15 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 1 4 12 19 21 20 19 18 16 15 10 3 0 0 0 0 0 2 4 4 5 5 5 6 5 3 2 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 4 9 11 11 10 9 8 6 4 4 4 3 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 31 31 28 26 32 42 47 49 51 54 59 68 78 85 87 85 83 84 86 90 92 96 104 118 128 129 117 101 92 86 83 97 120 122 93 66 64 74 85 88 87 94 113 127 128 130 144 154 156 154 151 138 124 112 108 118 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 0 0 0 0 0 1 4 6 7 8 7 4 1 0 0 0 0 0 0 0 0 0 2 3 2 2 2 1 0 0 1 2 4 4 2 1 0 0 0 0 0 0 3 4 4 6 9 11 11 11 12 13 14 15 16 16 14 13 12 11 11 12 13 15 15 13 12 10 6 3 3 5 5 5 6 7 7 8 8 9 11 12 10 9 8 6 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 6 9 11 11 16 20 21 25 27 29 29 22 11 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 2 8 16 20 21 20 17 15 12 7 2 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 19 22 26 28 30 32 28 23 20 15 7 1 0 0 0 0 0 0 0 0 0 0 8 18 32 38 35 30 31 38 43 46 48 52 57 64 71 73 74 76 76 79 82 87 91 95 105 120 136 138 129 116 108 98 85 95 128 143 116 79 69 76 84 88 87 89 102 118 125 126 131 142 154 162 162 148 124 100 90 102 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 1 1 0 0 0 2 4 4 5 6 8 8 7 4 2 1 0 0 0 0 0 0 7 7 4 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 3 4 4 4 7 9 8 8 10 12 14 15 14 14 15 14 12 11 11 12 14 16 16 15 14 13 10 6 5 5 5 5 4 5 5 6 7 8 8 9 8 8 8 8 7 6 4 3 3 3 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 11 11 16 20 20 25 27 29 27 19 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 0 0 0 0 0 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 14 19 20 15 11 10 6 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 1 1 1 0 0 0 0 0 2 8 14 20 27 34 39 45 47 42 43 42 27 11 1 0 0 0 0 0 0 0 0 2 6 17 31 42 43 38 34 34 36 40 43 46 50 58 64 66 65 65 66 69 76 82 90 100 113 126 140 140 130 121 121 113 96 100 130 149 130 97 82 83 86 88 88 89 94 104 113 115 110 121 141 160 171 166 140 107 89 92 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 2 2 2 3 4 4 4 4 5 7 9 11 11 8 3 1 0 0 0 0 1 8 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 4 4 4 6 4 4 5 9 12 12 12 13 16 16 13 11 10 10 12 14 14 14 15 15 14 12 10 10 8 6 4 4 4 5 5 6 5 6 6 7 7 7 6 7 7 6 5 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 10 10 11 16 20 20 24 26 27 24 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 16 11 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 4 1 0 0 0 0 0 0 2 6 10 14 22 23 34 39 45 54 49 28 5 0 0 1 1 0 0 0 0 1 4 10 24 40 47 44 38 32 30 31 34 37 41 49 57 60 58 55 56 61 71 78 92 109 123 134 143 141 127 116 118 118 110 111 131 140 122 100 91 89 89 90 91 90 93 98 102 102 97 102 120 145 168 176 160 127 105 102 108 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 4 5 6 7 6 4 4 4 5 6 8 11 11 8 4 2 0 0 0 1 5 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 3 4 5 6 4 3 4 8 10 12 12 12 15 17 14 11 10 9 11 12 13 14 14 14 14 14 13 12 11 9 6 5 5 5 4 5 4 4 5 6 6 6 6 5 5 6 6 6 6 6 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 2 2 10 10 11 14 19 20 23 26 25 22 15 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 6 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 2 6 11 15 11 4 0 0 0 0 1 2 1 0 1 2 4 6 8 20 32 50 59 45 18 4 3 6 6 4 3 1 0 0 0 3 13 28 39 43 40 33 24 23 24 26 30 40 50 55 56 56 58 60 65 76 96 117 127 131 140 148 139 127 126 129 126 124 134 129 105 96 96 93 93 91 88 89 94 100 102 99 94 96 108 131 159 181 176 150 135 132 133 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 2 2 3 4 6 8 8 7 5 4 4 4 4 4 6 8 9 9 6 4 6 4 2 4 7 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 5 5 5 5 4 3 4 7 10 11 11 12 13 14 13 11 10 10 11 12 12 12 12 13 14 13 12 11 11 11 10 11 10 8 7 6 5 4 4 5 5 5 4 4 4 4 5 5 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 2 1 11 12 14 14 15 20 23 24 22 20 15 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 0 0 0 0 0 0 0 0 0 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 1 4 6 3 2 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 2 8 19 29 25 14 5 2 0 2 10 16 13 2 0 0 0 1 0 4 12 29 47 53 41 22 13 15 17 17 14 8 2 0 0 1 5 12 21 29 38 36 27 24 21 21 23 30 42 51 56 61 66 66 67 76 100 124 129 119 128 157 158 149 149 149 145 143 143 131 114 104 103 101 99 97 93 93 103 114 117 112 102 99 106 124 152 171 176 174 166 160 155 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 1 2 3 4 5 6 5 5 4 4 3 2 2 4 5 7 9 12 18 16 10 8 7 6 6 5 3 1 1 3 5 6 4 1 0 0 0 0 0 1 2 4 6 6 6 5 4 3 2 2 4 7 9 10 10 10 10 9 8 8 8 9 9 9 8 9 10 12 13 12 10 10 10 10 10 10 10 10 9 7 4 4 4 4 5 4 4 4 4 4 4 5 5 6 7 5 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 7 9 15 15 13 18 22 23 22 20 15 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 2 5 6 5 5 5 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 1 9 30 47 44 28 14 4 0 10 30 45 37 13 2 0 0 0 0 0 2 8 23 41 52 50 39 33 31 30 29 23 13 1 0 0 1 2 10 16 26 33 34 33 31 27 25 28 37 47 55 64 72 76 74 77 99 126 127 112 121 157 162 153 160 154 154 150 148 148 148 143 130 121 116 115 118 124 130 132 133 131 124 115 112 126 152 157 132 162 168 165 147 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 1 1 2 4 5 4 4 3 2 2 2 3 3 6 12 21 22 18 14 11 8 6 6 4 3 5 10 15 12 6 2 0 0 0 0 0 0 0 1 4 6 6 5 4 2 1 1 2 3 6 7 8 8 7 6 5 5 5 5 6 6 5 5 7 10 12 12 10 9 9 9 10 10 10 10 10 10 10 8 5 4 4 4 3 3 4 4 4 4 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 14 14 13 15 19 22 22 20 15 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 5 7 8 10 11 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 2 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 41 59 52 31 14 4 0 13 33 47 45 24 8 2 1 0 0 0 0 0 7 22 42 62 66 55 44 38 35 33 27 12 3 0 0 0 5 9 14 22 28 33 36 36 34 34 37 42 52 62 70 77 77 76 93 118 121 100 109 151 156 146 142 146 145 134 133 145 159 168 160 145 136 132 132 139 136 123 121 129 140 132 123 136 147 124 85 101 128 145 136 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 78 61 48 38 30 23 18 17 16 14 11 10 10 8 6 4 3 3 2 1 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 1 2 1 0 1 3 4 4 3 4 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 8 8 8 8 6 4 3 3 3 3 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 13 17 19 16 12 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 3 3 3 2 1 1 0 0 0 0 1 4 6 8 8 8 8 7 7 6 6 6 6 7 7 6 6 5 5 6 7 9 13 14 15 13 10 8 6 5 5 5 4 5 4 3 1 1 2 2 1 0 0 0 0 0 0 0 0 0 2 3 3 3 1 1 3 4 4 3 3 9 4 0 0 0 0 0 0 2 6 8 10 11 11 10 9 6 4 4 12 23 30 23 7 0 0 0 3 7 16 34 39 31 21 16 14 10 4 1 0 0 0 0 0 1 5 13 17 25 38 49 53 59 72 86 86 65 50 50 55 75 102 121 128 125 122 127 139 151 159 155 146 139 130 125 124 119 108 102 110 119 121 117 113 112 115 127 142 152 156 158 159 154 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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90 90 89 88 88 89 91 88 81 70 62 60 61 63 68 68 63 55 44 34 27 22 19 17 17 19 21 24 26 25 20 14 13 15 22 25 25 23 20 16 12 8 5 2 0 0 0 0 1 2 4 4 4 3 3 3 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 1 4 6 7 8 8 7 5 4 3 3 3 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 20 20 15 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 0 0 0 0 0 0 0 2 3 4 3 3 3 3 1 0 0 0 0 0 0 0 2 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 1 1 0 0 0 1 3 5 6 7 5 3 3 5 7 8 7 7 7 7 7 8 8 7 6 5 4 3 2 2 3 3 4 5 5 4 3 1 1 2 2 2 3 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 3 5 4 8 18 22 22 19 16 15 16 13 6 0 0 1 3 6 4 0 0 0 0 3 10 30 44 30 10 2 0 0 6 22 32 25 9 1 4 10 16 17 16 14 6 0 0 0 0 0 0 0 0 0 0 1 9 31 65 96 105 90 68 65 69 73 87 113 124 129 129 124 115 108 105 100 95 93 94 100 109 116 108 94 90 99 105 102 100 93 78 72 77 99 129 147 141 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
79 77 77 77 78 81 84 83 80 79 78 79 82 85 86 86 86 83 73 58 46 37 32 28 25 23 23 25 27 27 22 18 17 18 24 32 38 39 35 30 24 17 10 5 1 0 0 0 0 0 2 4 4 3 3 4 6 10 11 9 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 3 4 6 8 8 6 4 3 3 2 3 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 19 21 16 10 6 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 1 3 4 3 3 4 4 2 1 0 0 0 0 0 0 0 1 3 4 5 5 5 5 5 5 4 3 3 2 2 2 2 1 1 1 1 0 0 0 1 4 7 6 4 4 5 7 8 8 9 9 9 9 9 8 5 4 2 1 0 0 0 0 2 2 3 4 4 3 2 1 0 0 0 0 1 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 2 4 4 8 15 20 22 21 21 21 21 18 8 0 0 0 0 1 2 0 0 0 0 2 10 36 53 40 18 5 0 1 8 28 48 52 29 6 3 14 26 29 23 22 14 5 1 0 0 0 0 0 0 0 0 0 4 18 37 62 80 81 69 68 72 72 76 91 99 112 123 125 120 110 101 93 86 83 84 90 102 122 126 110 90 90 92 92 92 90 78 66 64 80 112 143 148 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
57 56 58 62 67 70 73 76 79 80 82 84 85 85 85 87 92 95 90 78 64 50 38 34 30 26 22 20 20 19 16 12 11 13 18 25 34 38 38 37 32 24 16 10 5 3 3 2 2 2 3 5 8 8 8 8 12 17 20 20 17 14 10 7 5 3 2 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 1 3 5 6 6 4 3 3 3 3 3 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 18 20 16 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 3 4 3 2 1 0 0 0 0 0 0 0 0 3 5 6 6 5 5 5 5 5 4 3 3 2 2 1 1 1 1 0 0 0 0 0 2 6 8 6 6 6 7 8 8 8 9 10 10 7 4 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 2 3 2 3 7 14 17 18 18 18 17 13 5 0 0 0 0 0 0 0 0 0 1 5 18 40 52 42 24 9 2 1 8 24 43 60 56 29 9 13 25 30 23 18 15 11 8 3 1 0 0 0 0 0 0 0 3 14 21 32 44 49 53 60 68 73 77 83 86 93 105 117 118 113 105 95 88 84 86 91 99 117 127 126 117 107 97 88 82 79 73 65 59 57 81 122 140 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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0 0 0 5 25 46 28 10 11 17 20 12 4 3 5 8 12 14 10 17 36 39 35 34 34 27 16 10 8 6 2 0 0 2 4 4 8 18 27 34 40 45 46 42 34 26 18 18 19 21 24 28 33 36 36 34 31 28 25 22 19 17 18 22 29 37 43 46 46 47 53 61 65 60 47 45 44 42 41 40 38 37 36 34 33 30 24 16 11 10 8 7 3 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 5 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 3 1 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 3 7 10 12 13 13 12 10 10 11 12 11 6 5 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 2 4 11 8 6 6 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 4 6 7 7 7 7 6 6 5 6 9 17 16 6 1 0 0 3 6 11 16 25 44 69 89 96 101 111 117 115 110 106 101 90 75 66 65 67 71 73 74 74 73 75 73 66 62 65 72 86 98 107 113 114 114 112 106 101 97 91 86 84 85 86 88 94 101 101 96 87 75 60 46 35 30 29 34 43 54 62 69 79 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
4 7 7 18 38 48 38 25 25 34 41 31 16 14 14 10 8 7 8 18 38 43 35 30 27 23 22 23 24 22 15 8 9 15 17 20 27 36 41 43 44 43 37 29 24 22 24 27 26 24 25 27 31 34 36 36 35 34 31 28 25 23 21 21 24 28 32 37 39 40 47 57 65 65 57 48 47 46 46 43 39 37 36 37 38 38 34 27 20 14 9 7 5 1 2 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 5 4 1 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 1 3 5 5 4 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 3 6 9 12 13 13 12 11 11 11 11 9 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 1 2 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 7 7 7 6 6 6 11 15 10 3 0 0 1 3 6 10 16 22 36 59 70 70 71 87 98 103 102 99 96 88 76 68 66 66 66 67 69 72 76 80 79 73 67 66 69 75 85 94 104 112 115 116 114 110 105 98 90 84 82 83 84 88 93 96 98 96 91 84 72 55 40 30 28 31 38 44 46 54 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 29 35 43 51 50 40 29 26 34 45 46 34 33 30 16 6 6 13 28 44 47 38 30 26 25 32 38 42 43 42 34 31 35 39 41 40 39 35 31 30 27 21 18 24 36 46 46 42 38 37 38 36 33 32 32 33 33 32 31 31 30 30 29 28 27 28 30 33 35 38 48 58 63 63 58 53 49 48 48 42 37 37 38 41 43 43 38 30 21 13 8 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 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 1 4 7 9 10 11 12 12 11 10 9 8 6 5 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 6 7 7 6 6 7 8 9 5 1 0 1 1 2 5 8 15 19 26 51 62 63 61 68 77 85 90 92 91 87 82 79 77 74 72 71 71 72 76 80 81 77 72 72 74 76 82 87 93 102 108 111 113 113 110 106 100 93 90 90 89 89 90 90 89 87 85 85 83 72 55 37 28 28 33 36 36 40 53 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
48 49 50 51 51 43 30 18 16 24 40 52 52 49 44 28 17 19 29 43 51 48 39 34 31 29 32 37 38 35 40 43 47 49 48 43 35 27 21 16 14 10 9 12 26 42 52 52 50 48 46 45 41 30 25 24 23 25 26 28 30 33 36 36 35 32 29 29 31 33 33 38 46 54 60 63 62 58 53 48 44 38 36 38 42 47 52 51 43 31 19 12 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 4 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 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 1 5 8 9 9 9 10 10 10 8 7 5 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 1 3 4 5 4 3 5 6 7 6 6 6 6 5 2 1 2 4 3 3 5 8 13 17 22 40 56 63 64 64 64 65 73 83 86 84 84 85 88 83 80 78 74 71 71 74 76 74 69 70 76 83 84 86 89 93 101 106 109 111 112 110 107 103 101 98 96 94 91 90 86 81 77 78 82 82 71 52 38 34 35 36 34 34 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
50 47 46 44 41 30 18 10 8 16 36 54 60 59 55 49 45 43 45 51 50 43 37 35 34 31 28 25 20 14 20 40 51 55 50 39 29 23 19 14 10 7 6 9 19 28 33 39 44 48 48 46 38 25 18 17 15 17 20 22 24 29 33 36 35 33 30 28 30 32 33 34 37 43 50 55 61 66 62 53 45 40 37 38 42 49 58 63 56 42 27 18 14 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 4 6 7 8 7 7 7 8 7 5 5 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 2 3 2 2 2 2 1 0 0 0 0 0 0 0 1 3 7 7 8 8 6 4 4 4 5 6 6 6 5 3 1 0 1 2 3 3 5 8 12 14 20 33 48 60 65 64 60 58 61 70 77 80 82 84 86 85 83 80 74 69 68 70 72 69 65 64 72 86 87 86 87 89 96 102 106 108 110 109 108 107 105 103 103 102 101 98 93 87 82 80 83 87 86 74 58 50 46 42 36 33 37 42 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
37 34 32 28 25 20 15 12 9 13 30 48 56 58 59 60 60 54 51 50 47 39 35 37 40 37 29 20 12 7 8 23 44 55 54 47 38 33 30 25 18 12 10 11 13 14 14 20 27 36 44 44 34 21 15 14 13 14 16 20 22 24 26 29 30 29 26 25 27 30 33 35 37 42 48 47 48 59 69 66 54 45 42 42 44 49 56 63 58 47 35 24 19 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 2 4 5 6 6 5 5 6 6 5 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 1 5 10 10 8 8 7 6 5 4 1 0 0 0 0 0 3 12 22 20 15 13 7 4 2 1 3 5 5 5 4 1 0 0 0 0 0 2 4 6 10 12 13 19 32 46 54 55 53 51 53 58 64 68 70 74 78 78 76 69 62 62 61 63 66 65 63 67 77 87 89 88 87 88 92 98 105 106 108 108 106 105 104 104 105 106 108 108 105 102 97 93 90 92 94 90 81 72 64 57 48 39 35 39 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 16 13 16 17 18 20 18 15 15 23 33 38 41 43 45 47 48 50 52 50 46 44 47 51 50 41 29 18 12 9 14 29 48 57 58 56 44 39 36 32 26 21 18 15 11 8 10 13 18 31 42 34 19 13 12 12 12 14 18 23 24 21 21 23 24 24 23 25 29 33 36 39 42 47 46 41 47 63 72 69 59 51 48 49 50 50 51 50 44 37 30 24 20 17 12 7 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 6 6 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 5 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 4 14 12 10 8 8 7 4 5 4 2 0 0 0 2 11 28 40 32 25 20 10 5 1 0 2 4 5 4 3 1 0 0 0 0 0 0 2 2 4 6 7 8 12 26 38 41 43 44 46 50 56 61 64 64 64 66 63 52 44 39 41 49 56 58 61 70 83 92 93 90 87 88 89 94 105 106 106 106 104 101 100 100 102 106 109 112 113 113 111 107 102 100 100 99 96 92 85 78 70 56 44 45 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 9 9 13 17 21 23 23 20 18 18 17 18 19 18 16 18 26 36 46 53 55 54 54 56 57 56 49 34 20 14 14 21 37 52 62 63 50 41 41 42 38 31 23 16 9 6 8 9 10 18 39 35 17 10 10 10 10 13 19 26 29 24 21 22 26 28 28 27 30 34 38 41 44 48 50 47 46 55 65 68 63 54 53 54 52 46 41 40 40 38 33 27 22 19 16 14 13 13 12 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 1 2 3 3 3 4 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 0 0 0 0 0 1 5 12 11 8 6 3 2 1 1 0 0 0 0 0 3 18 41 59 43 31 23 12 5 2 0 2 4 5 4 4 3 0 0 0 0 0 1 1 0 0 1 1 1 4 18 26 28 31 33 35 37 42 48 55 59 60 57 50 42 36 32 32 42 51 55 60 70 85 95 97 93 89 92 96 100 104 105 104 104 102 100 99 97 98 100 105 110 114 116 117 116 111 107 105 103 101 101 99 97 93 85 74 68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 6 9 14 18 20 21 22 21 20 19 17 14 12 10 10 10 12 17 26 36 42 43 42 43 49 58 60 48 27 18 17 19 28 38 51 60 55 46 44 45 42 34 25 17 8 6 8 9 8 14 29 33 16 8 9 8 8 14 21 32 39 36 33 34 37 39 39 38 38 39 41 43 45 48 52 54 55 57 56 53 50 48 52 55 52 45 40 38 37 38 36 32 27 21 18 18 20 19 16 12 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 11 8 4 1 0 0 0 0 0 0 0 0 3 22 50 70 56 36 22 11 4 1 0 2 5 5 7 10 10 8 2 0 1 4 9 7 1 0 0 0 2 7 20 21 21 23 25 26 26 29 33 39 45 49 49 45 45 45 36 36 48 56 59 63 72 84 96 99 93 91 99 106 109 107 105 103 102 101 102 102 101 100 99 101 105 110 114 118 119 117 112 108 105 103 104 104 103 103 103 101 94 91 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
3 4 9 14 17 17 17 18 18 16 16 14 12 11 10 9 8 8 8 10 14 20 22 23 23 30 45 53 46 30 19 20 21 22 25 35 51 56 52 47 42 40 36 30 20 8 3 6 7 7 11 23 30 20 11 10 7 9 16 23 36 45 48 49 50 50 49 49 49 47 44 44 45 46 48 50 55 61 66 67 61 48 43 49 54 50 46 45 45 42 39 38 36 32 24 18 17 20 21 18 14 12 11 9 4 1 0 0 0 0 0 0 0 0 0 0 3 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 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 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 0 0 0 1 2 1 1 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 13 12 8 3 0 0 0 0 0 0 0 0 0 2 22 42 51 51 40 25 12 2 0 0 1 4 5 12 16 18 18 15 12 15 24 32 28 15 5 1 2 10 17 21 23 24 25 26 25 22 22 24 29 34 41 44 48 57 63 61 60 62 67 70 73 79 90 100 100 94 93 104 109 110 108 105 103 102 103 105 108 108 107 104 103 104 106 110 115 119 119 115 110 107 104 103 102 102 103 106 109 106 102 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
3 7 11 14 16 16 14 13 12 12 11 11 10 8 7 7 6 5 6 6 8 11 13 14 14 14 24 34 35 28 23 23 23 22 22 25 37 48 52 48 42 40 38 36 28 14 1 2 6 8 9 14 20 20 16 11 6 8 16 23 32 43 51 53 52 49 46 45 46 46 45 46 47 48 48 47 49 56 65 69 65 54 47 50 53 51 48 51 54 51 44 38 36 34 27 20 18 20 21 18 15 13 13 12 9 3 0 0 0 0 0 0 0 0 0 3 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 6 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 1 1 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 0 0 0 0 8 13 12 7 2 0 0 0 0 0 0 0 0 0 0 13 27 36 39 38 31 18 6 1 0 0 2 3 9 16 21 22 22 25 33 47 58 55 44 27 14 11 16 20 27 34 40 45 44 37 29 26 26 28 33 40 45 55 67 76 81 82 83 85 85 84 87 95 98 97 93 95 103 109 110 107 103 101 102 106 109 113 114 113 111 109 107 107 108 111 115 118 116 112 109 107 105 101 99 100 102 104 104 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 11 12 14 16 17 15 12 10 10 9 10 11 10 7 4 3 3 3 4 6 7 9 11 13 12 13 19 22 24 27 26 25 24 24 24 28 37 44 45 42 39 41 44 41 27 8 2 5 8 10 12 15 19 20 18 13 13 20 25 30 37 43 44 39 32 27 25 27 31 36 40 45 48 48 47 45 46 53 65 69 62 54 52 53 54 53 55 62 61 51 42 36 34 32 28 24 22 22 19 15 13 13 13 10 4 1 0 0 0 0 0 0 0 3 12 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 6 7 7 6 3 1 1 1 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 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 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 8 13 12 6 2 0 0 0 0 0 0 0 0 0 0 5 13 22 30 35 34 29 20 12 5 1 0 1 5 13 20 22 21 23 32 51 70 78 74 61 45 41 41 44 52 61 68 74 71 57 46 42 40 41 43 48 55 63 73 86 97 101 104 106 101 98 96 94 92 91 91 96 104 108 108 104 98 95 95 101 107 112 114 114 113 112 109 107 106 107 109 113 113 112 111 110 107 103 99 98 100 103 102 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 14 16 18 19 19 18 15 13 12 13 15 16 15 13 8 4 2 2 2 3 4 5 8 11 13 12 12 14 18 22 25 26 26 26 27 27 29 34 38 36 36 41 49 51 40 19 5 4 7 10 11 12 15 21 29 30 27 28 30 31 30 30 27 21 16 11 9 9 14 20 28 36 43 47 48 46 40 38 48 60 63 58 54 55 59 61 60 62 68 60 49 41 38 37 36 33 30 28 23 16 12 11 15 9 2 0 0 0 0 0 1 3 6 14 21 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 4 5 6 6 6 7 8 7 6 4 3 2 2 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 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 16 13 6 1 0 0 0 0 0 1 2 5 6 5 3 4 9 18 24 28 30 30 28 24 16 7 5 7 13 19 20 16 12 16 37 63 81 85 86 90 89 86 90 95 95 93 89 80 65 58 57 59 65 67 68 72 77 85 98 111 120 122 119 112 107 103 98 93 92 94 99 104 106 106 100 93 88 86 90 98 104 108 110 110 109 106 104 102 102 102 104 105 107 108 109 107 105 102 101 103 105 103 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 20 22 22 21 21 20 18 16 18 20 21 21 22 21 18 13 10 8 7 6 6 6 7 11 15 15 12 11 14 16 19 22 24 28 30 30 28 28 30 30 30 32 40 46 44 29 13 8 9 10 9 8 9 15 29 36 33 30 29 27 24 21 20 18 14 12 11 10 10 11 14 22 33 42 45 45 43 38 36 42 50 54 56 59 64 66 64 64 71 68 57 47 43 44 45 44 41 37 30 20 12 8 10 6 1 0 1 0 3 7 11 14 19 22 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 3 4 5 6 6 6 7 8 8 8 7 6 6 5 2 1 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 1 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 0 5 15 20 14 6 0 0 0 0 2 5 8 14 19 22 20 13 5 2 9 12 15 17 20 26 33 34 28 20 16 19 22 22 15 6 7 24 48 65 73 79 85 93 100 105 105 102 91 82 72 61 60 61 71 88 99 98 97 99 104 113 122 127 126 121 113 107 105 104 102 102 101 102 104 105 102 96 88 83 80 81 86 92 96 100 101 101 100 97 95 94 94 94 95 96 99 102 103 104 103 105 108 110 109 106 104 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
18 19 18 16 16 16 16 16 17 19 23 23 22 23 24 24 21 17 15 14 14 13 10 10 13 16 16 13 11 11 12 14 17 20 24 28 30 30 28 28 29 28 26 27 34 41 36 21 13 13 12 9 6 5 9 18 23 23 20 18 18 16 17 19 23 25 26 25 25 22 14 9 10 16 26 35 41 46 46 39 35 38 46 53 59 64 67 68 70 75 75 66 57 54 57 57 54 50 43 34 24 15 8 5 5 4 3 6 12 16 21 25 27 26 25 26 20 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 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 4 4 4 4 5 6 6 6 7 8 8 8 8 8 8 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 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 0 0 0 0 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 17 22 17 9 2 0 0 2 9 18 27 34 36 34 29 19 8 2 1 3 4 4 5 11 22 35 39 32 23 27 40 37 21 12 12 20 37 48 55 60 66 67 68 77 76 73 69 67 62 58 55 56 66 88 110 121 122 120 123 126 127 124 117 110 103 100 100 102 103 103 101 100 101 101 97 90 82 77 76 75 78 80 84 87 90 91 90 89 86 83 82 83 84 83 85 88 91 94 97 102 107 114 118 118 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 7 8 8 8 8 7 9 11 13 13 12 12 15 18 17 15 14 13 12 12 12 12 12 13 15 15 15 15 15 14 15 16 17 19 22 27 29 30 31 30 28 26 28 34 38 32 18 14 17 20 16 10 6 8 12 14 16 15 13 13 14 14 17 25 35 42 44 44 40 28 13 7 7 13 23 32 42 50 46 36 33 37 45 52 59 65 70 76 84 86 80 73 71 71 69 62 55 48 40 31 22 14 10 8 8 11 16 23 31 35 36 34 29 24 20 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 4 5 6 6 6 7 7 8 8 8 9 8 8 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 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 23 21 16 6 3 3 7 18 31 38 39 37 29 19 10 5 2 0 0 0 0 0 3 13 25 26 20 18 26 44 40 29 23 22 26 32 37 42 47 53 57 59 58 59 60 62 63 61 55 50 47 53 66 83 100 114 121 126 127 124 116 105 95 88 85 85 88 89 89 88 89 91 92 88 81 74 70 69 68 69 70 73 76 79 82 82 81 79 74 71 70 71 70 71 75 79 82 86 91 98 107 118 129 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 6 6 5 5 6 7 8 8 8 7 7 7 8 10 10 10 10 8 7 6 7 8 9 8 12 14 18 20 21 21 20 20 20 20 20 22 24 26 28 28 26 30 39 43 34 20 11 12 18 29 35 25 16 14 16 18 18 17 15 14 14 13 12 19 34 45 50 51 49 40 22 9 8 12 21 23 31 45 50 41 33 32 36 43 49 56 64 77 89 94 92 86 82 78 73 66 60 55 48 29 19 17 15 12 10 13 21 33 42 44 44 38 30 23 22 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 5 5 6 6 6 6 6 7 7 8 8 8 8 8 7 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 1 1 2 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 0 0 0 0 0 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 22 26 28 14 6 6 10 22 28 26 23 17 10 5 2 1 0 0 0 0 1 6 16 28 32 19 7 6 18 34 37 36 37 38 36 32 29 30 35 42 51 56 58 60 64 66 65 60 53 46 42 44 50 59 66 78 91 105 116 119 113 100 86 77 71 70 70 69 67 67 69 73 75 74 70 66 64 60 56 55 57 60 64 67 70 72 73 72 68 65 63 60 58 57 61 67 71 75 79 84 94 108 122 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 7 7 7 7 8 8 9 9 8 7 7 8 9 10 11 11 11 10 8 8 7 7 7 6 7 9 13 18 23 24 24 23 23 23 23 22 22 22 23 23 22 26 34 34 24 15 11 13 20 32 42 32 25 24 27 26 23 20 19 18 17 16 11 12 25 40 48 47 45 42 31 17 10 10 26 27 28 40 49 45 36 33 36 40 42 45 53 69 87 95 94 89 83 76 71 68 65 61 56 29 18 21 21 19 18 23 32 42 48 49 47 32 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 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 0 0 0 0 0 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 17 28 35 23 10 6 7 9 8 6 4 1 0 0 0 0 0 0 0 0 4 16 41 63 51 18 4 2 16 37 45 45 48 51 47 35 26 22 20 26 39 49 55 58 62 64 62 58 52 45 41 41 44 51 56 57 61 72 89 106 109 98 84 74 68 65 63 60 56 53 54 56 57 56 56 56 56 49 40 36 39 43 49 52 54 57 60 62 61 59 56 52 48 46 48 52 60 66 71 74 80 92 104 112 113 nan nan nan nan nan nan nan nan nan nan nan nan nan
14 13 12 11 11 11 11 11 11 10 9 9 10 12 13 14 14 14 13 12 12 11 10 9 7 6 6 6 7 8 11 14 18 20 22 24 24 23 22 21 19 17 16 20 25 28 24 20 20 25 32 35 30 26 29 31 30 26 23 22 22 21 19 15 11 17 32 42 40 36 36 34 27 16 14 25 35 34 40 50 49 44 44 47 48 44 41 45 60 78 89 90 86 80 72 70 71 70 65 57 44 35 34 33 33 35 41 45 47 50 53 42 19 5 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 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 4 5 5 5 5 6 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 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 1 2 3 3 3 3 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 0 0 0 0 0 0 0 0 3 11 24 34 30 16 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 5 19 45 65 43 14 2 6 25 48 55 50 50 53 48 34 27 20 16 16 24 35 42 46 49 50 50 48 44 42 38 38 40 47 53 54 52 54 62 78 89 88 80 74 70 65 60 56 53 51 50 48 45 41 40 42 41 34 25 19 19 26 34 39 40 42 44 47 49 49 46 42 39 37 37 40 48 56 62 66 70 77 85 91 95 nan nan nan nan nan nan nan nan nan nan nan nan nan
18 19 16 16 15 15 15 15 15 14 14 13 14 14 15 16 16 16 16 16 16 15 14 13 12 10 9 7 6 5 5 6 8 10 13 16 18 20 21 22 21 18 16 17 22 30 34 32 28 28 28 28 25 24 25 27 28 26 24 24 26 26 23 19 14 14 21 32 32 28 27 31 32 25 17 17 26 35 37 48 56 58 59 63 62 57 50 49 57 69 80 85 84 81 78 77 77 74 67 60 54 51 52 52 52 52 52 50 51 55 50 29 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 6 6 6 6 6 6 8 10 11 11 11 10 9 8 7 7 7 7 7 7 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 28 35 27 13 4 2 1 2 1 0 0 1 2 2 2 0 0 1 5 14 30 33 18 6 2 14 40 59 57 50 50 50 42 34 28 20 14 11 13 19 24 28 29 27 30 30 28 32 30 29 31 38 45 50 52 52 53 58 61 66 67 67 67 64 58 51 47 48 51 48 38 30 29 31 30 26 18 8 5 15 22 26 26 29 31 33 34 34 34 32 30 29 29 33 39 46 53 57 61 66 70 73 79 nan nan nan nan nan nan nan nan nan nan nan nan nan
18 18 18 18 18 18 18 18 17 17 16 15 15 16 17 17 17 17 18 18 19 18 17 17 16 15 13 12 11 9 8 7 6 6 6 7 9 11 14 16 18 18 18 18 19 23 30 35 34 29 22 20 21 22 22 24 27 27 26 27 28 29 26 21 16 13 15 21 26 25 25 28 34 29 20 15 17 25 32 41 52 58 65 71 74 71 64 58 60 67 72 74 79 84 86 83 78 72 68 66 64 66 68 68 66 61 55 50 48 46 35 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 6 7 7 7 7 6 8 10 12 14 15 15 14 13 12 11 10 8 8 7 7 8 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 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 0 0 0 0 0 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 21 36 37 24 11 7 6 6 5 3 2 2 3 3 2 1 1 1 2 7 12 12 6 2 7 28 54 61 50 46 50 50 42 35 28 20 9 1 4 10 10 12 14 14 15 16 19 22 22 22 22 23 29 39 46 51 53 54 54 52 52 55 57 58 53 44 41 43 46 43 36 30 27 26 24 17 10 2 1 10 17 21 23 24 26 27 27 24 21 24 24 24 24 27 33 39 45 49 51 55 60 61 65 nan nan nan nan nan nan nan nan nan nan nan nan nan
18 18 19 19 19 18 18 18 17 17 17 16 16 16 16 16 15 15 16 17 18 18 19 18 18 17 16 15 14 13 11 9 8 8 8 7 7 7 6 6 8 12 16 17 18 20 22 26 32 31 22 18 19 21 23 25 27 29 28 28 29 29 27 21 16 12 13 19 26 29 29 29 35 38 30 21 17 17 23 33 46 53 59 67 73 71 69 68 66 66 64 63 67 74 78 76 72 70 71 72 74 76 77 76 69 60 52 43 39 36 27 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 7 7 8 12 13 14 14 14 14 14 13 13 13 13 12 10 8 8 8 6 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 1 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 0 0 0 0 0 0 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 15 30 39 30 15 10 9 8 7 4 3 3 4 4 3 4 5 3 2 2 3 2 1 6 21 46 64 54 39 41 50 53 50 40 28 18 8 1 1 2 1 3 6 11 14 16 18 20 21 21 21 18 18 23 33 41 46 50 51 49 47 46 48 50 50 48 46 44 44 42 38 34 31 27 21 13 7 4 3 8 15 20 19 17 21 25 28 26 21 21 23 24 24 25 29 34 38 41 44 47 50 52 54 54 nan nan nan nan nan nan nan nan nan nan nan nan
17 17 18 18 18 18 17 16 16 15 15 14 14 14 14 14 14 14 14 15 16 16 17 18 18 18 17 17 16 16 15 12 10 9 9 8 8 8 7 6 6 8 10 14 18 20 20 19 24 31 28 20 20 24 26 29 31 30 29 28 27 27 24 20 14 10 11 19 29 35 32 27 29 36 41 34 21 14 14 20 30 41 49 56 60 56 56 62 61 57 54 52 52 53 55 59 62 68 71 74 75 75 74 72 65 55 48 34 30 27 24 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 7 7 10 11 12 13 13 12 12 11 11 12 12 14 15 14 12 9 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 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 0 0 0 4 3 1 0 0 0 0 0 3 9 18 25 16 9 8 8 7 5 3 2 3 4 4 6 9 13 8 4 2 0 0 2 12 36 64 71 52 37 39 49 54 52 42 27 16 6 0 0 1 1 1 4 12 17 19 19 19 21 21 21 20 18 16 21 27 33 38 41 41 39 37 38 40 44 46 46 45 43 41 39 36 31 25 16 9 5 3 3 6 12 17 17 16 17 25 32 32 30 27 28 31 31 31 32 33 34 36 39 42 44 44 44 44 nan nan nan nan nan nan nan nan nan nan nan nan
14 15 15 16 16 15 15 14 13 13 13 13 13 13 13 13 13 14 14 14 14 15 15 15 16 16 15 16 16 17 17 15 14 12 11 10 9 9 8 7 7 7 7 11 16 21 22 18 21 29 29 25 25 29 32 33 32 30 27 26 24 22 19 14 7 5 9 16 25 30 27 22 19 22 35 40 25 13 11 17 27 34 40 43 43 42 43 43 41 40 42 44 45 43 43 46 53 64 69 72 73 71 69 64 55 49 44 30 21 18 18 14 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 0 0 0 0 0 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 6 7 8 9 9 8 9 10 11 12 12 11 10 10 10 10 11 11 12 13 15 15 10 7 7 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 0 0 0 0 0 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 4 2 0 0 0 0 1 3 7 9 4 1 2 2 2 2 1 1 2 3 4 6 17 18 11 5 2 0 0 3 15 38 67 75 61 46 44 49 54 51 39 24 14 4 0 1 4 5 4 6 9 12 15 14 14 15 15 17 17 17 15 16 18 20 24 27 27 27 26 26 27 30 33 37 38 39 38 37 34 27 19 11 5 2 1 2 3 5 8 11 13 17 24 32 35 35 34 35 40 43 44 43 39 35 34 34 36 38 37 35 35 nan nan nan nan nan nan nan nan nan nan nan nan
14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 14 14 14 14 13 14 14 14 14 15 16 17 16 16 15 15 13 12 10 9 9 8 7 8 14 20 24 22 23 28 32 32 32 34 35 34 31 27 25 24 20 16 12 7 4 3 8 17 24 27 25 20 16 15 21 33 28 10 8 16 26 32 35 34 31 28 27 27 27 28 32 37 43 43 41 42 49 61 67 69 67 64 58 51 45 43 37 22 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 5 6 8 9 10 11 10 10 11 10 11 11 10 9 9 9 9 10 11 11 12 13 15 12 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 4 2 1 1 1 2 5 5 3 1 0 0 0 0 0 1 2 3 4 6 10 12 8 4 2 1 0 2 10 29 50 66 66 57 52 53 54 50 37 25 15 7 4 6 7 8 8 7 7 7 7 6 7 8 8 8 9 8 10 12 12 12 13 14 14 14 14 16 17 18 20 23 24 27 29 29 26 19 12 6 1 0 0 0 0 1 1 3 7 11 18 25 29 32 37 41 46 49 52 52 47 39 34 30 29 29 28 26 26 nan nan nan nan nan nan nan nan nan nan nan nan
14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 15 16 17 17 18 18 17 16 14 12 10 9 8 7 8 15 23 26 26 29 32 34 35 35 34 32 28 25 24 23 18 13 8 4 3 4 10 18 24 27 27 23 18 15 16 24 26 16 9 12 19 26 28 26 24 23 24 26 27 27 28 33 42 47 47 46 51 58 61 61 55 47 42 40 35 31 25 16 12 7 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 0 0 0 0 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 5 6 7 9 10 11 11 11 11 10 10 10 10 10 9 8 9 9 10 11 12 13 13 13 12 8 7 7 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 10 8 6 6 8 9 10 12 10 8 4 2 0 0 0 0 0 3 4 4 4 5 4 3 2 2 0 0 0 5 17 29 43 51 53 53 54 54 50 38 28 20 12 7 6 7 7 7 6 6 5 4 3 3 4 5 5 5 5 6 6 7 8 7 6 5 4 5 7 9 9 8 10 9 13 15 15 12 10 6 2 0 0 0 0 0 0 0 0 1 4 9 15 21 31 37 43 48 48 47 47 43 36 28 20 16 18 18 17 17 16 nan nan nan nan nan nan nan nan nan nan nan
13 13 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 12 12 12 13 13 14 14 14 15 15 16 16 17 17 16 16 15 13 11 10 8 7 10 18 25 29 31 33 34 35 35 33 30 26 25 24 22 18 13 6 3 3 6 11 17 23 26 26 24 20 17 14 17 21 18 11 8 11 17 20 22 25 28 31 32 32 31 31 35 45 54 56 56 56 55 54 51 42 35 31 30 26 18 14 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 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 1 4 6 6 8 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 13 14 14 12 13 10 7 7 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 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 12 10 13 21 25 26 24 19 12 4 0 0 0 0 0 0 2 3 3 3 3 3 3 3 2 1 0 0 2 7 14 22 30 36 40 43 44 46 39 32 24 17 10 6 6 5 4 3 3 2 1 0 1 1 2 1 2 2 2 3 4 3 3 2 1 1 2 2 2 2 2 3 3 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 1 2 9 15 26 36 43 46 45 41 37 32 25 19 12 7 7 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan
12 13 12 12 14 13 12 12 12 12 11 12 12 12 12 13 14 14 14 14 14 14 13 12 12 12 13 13 14 14 14 14 14 14 14 14 15 15 15 16 16 14 12 9 7 8 14 21 27 32 35 36 36 35 33 30 27 25 24 22 18 14 6 3 3 6 11 16 20 24 30 32 24 17 13 13 14 13 10 7 8 12 15 20 30 37 37 34 33 35 38 42 50 58 63 62 54 50 49 43 34 26 22 19 18 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 6 6 8 10 11 11 11 11 10 10 9 8 9 9 9 10 10 10 11 12 13 14 14 12 13 11 8 6 5 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 14 17 20 31 36 36 32 22 11 3 0 0 1 1 0 0 1 1 1 1 1 2 2 3 4 3 0 0 0 1 3 8 16 24 31 35 37 38 37 32 24 17 10 6 3 2 1 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 5 11 20 30 36 38 37 34 28 22 16 12 8 6 4 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan
11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 13 13 13 13 14 14 14 14 14 13 13 13 14 14 14 14 16 16 14 12 9 7 9 15 23 29 34 38 38 36 34 31 28 26 24 21 19 15 8 2 3 6 11 15 18 28 41 43 28 17 13 12 13 13 11 8 7 8 12 18 32 40 35 30 33 40 46 48 49 53 57 57 47 48 43 33 24 18 13 11 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 12 14 15 13 11 12 12 8 6 5 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 17 23 27 30 29 24 16 9 3 1 2 4 3 2 1 0 0 0 0 0 0 0 1 4 4 2 0 0 0 0 1 5 10 18 26 31 32 30 26 19 11 6 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 1 0 2 7 13 18 23 25 22 19 16 14 11 8 6 4 4 4 4 2 2 nan nan nan nan nan nan nan nan nan nan nan
10 10 10 10 11 12 12 12 11 11 11 11 11 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 16 15 13 11 8 8 10 17 24 31 36 38 37 35 31 28 26 24 22 22 18 10 3 4 7 13 17 21 31 42 40 28 17 14 14 16 18 14 9 6 7 13 22 32 36 32 32 40 48 50 48 45 46 51 50 45 46 35 24 17 14 10 8 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 0 0 0 0 0 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 1 2 4 6 6 7 8 8 8 8 9 9 9 9 10 10 9 10 10 10 12 15 18 17 13 11 12 12 8 6 5 4 4 4 5 5 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 14 14 16 17 16 13 9 6 5 5 7 7 6 4 3 1 0 0 0 0 0 0 0 1 3 4 5 5 4 2 0 0 1 4 11 16 19 17 14 11 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 3 5 5 5 7 8 10 10 12 10 9 8 7 5 4 4 5 6 7 7 6 4 nan nan nan nan nan nan nan nan nan nan nan
8 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 13 13 14 15 14 12 10 8 8 12 19 27 34 38 38 36 33 29 26 24 23 22 19 12 7 7 12 18 23 22 23 26 27 22 19 19 23 30 34 28 16 9 10 19 30 38 40 41 45 54 57 52 45 41 44 48 47 43 40 32 25 19 15 10 6 3 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 3 4 4 6 6 6 7 8 8 9 9 9 10 10 10 10 10 10 13 18 22 21 15 11 11 13 8 6 5 4 4 4 5 5 4 3 2 1 1 1 1 0 0 0 0 0 1 1 2 4 4 5 5 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 12 11 11 10 8 4 2 1 1 6 8 9 8 5 3 2 0 0 0 0 0 0 0 0 1 5 11 18 17 6 3 0 0 1 4 7 8 7 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 6 10 12 13 13 14 13 11 10 9 8 6 6 6 6 5 5 4 3 2 4 7 9 10 10 10 8 6 nan nan nan nan nan nan nan nan nan nan
6 6 6 6 6 6 7 7 7 8 8 8 9 10 11 11 12 12 13 12 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 13 13 14 14 14 13 11 10 8 8 14 22 30 36 39 37 34 29 25 23 22 21 20 16 13 16 22 27 28 23 17 16 21 23 25 31 39 47 52 50 38 23 18 25 38 47 52 56 60 63 60 50 43 40 41 42 41 40 36 33 30 20 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 6 6 7 8 8 9 10 11 10 10 10 12 15 20 23 22 17 11 10 12 8 6 5 5 4 4 4 5 5 5 4 2 1 1 1 1 1 1 1 1 1 2 3 4 5 5 5 5 5 5 5 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 7 6 6 3 0 0 0 0 0 3 5 6 5 3 0 0 0 0 0 0 0 0 0 0 3 12 21 22 9 4 1 0 0 1 3 4 4 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 1 2 5 7 7 8 8 10 12 13 13 13 13 12 11 10 7 5 4 3 4 4 4 5 4 4 7 9 10 11 11 11 10 10 nan nan nan nan nan nan nan nan nan nan
6 5 5 5 5 5 5 5 6 6 7 7 8 9 10 10 11 12 13 13 12 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 13 14 14 14 12 11 9 8 9 13 24 34 38 38 35 30 25 23 22 20 19 20 21 25 30 34 32 27 25 24 26 30 36 42 48 53 56 58 54 41 26 28 43 58 68 73 73 66 56 46 42 40 38 35 38 39 36 34 29 19 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 6 6 6 6 7 9 10 11 11 10 10 12 16 21 23 23 18 12 10 10 9 6 5 5 5 4 5 5 4 5 5 4 2 0 0 1 1 1 2 1 1 1 2 4 4 5 5 6 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 6 10 10 5 2 1 0 0 0 0 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 1 2 4 4 5 5 3 3 3 4 5 6 7 7 8 9 9 8 6 4 2 2 1 1 2 3 4 6 8 11 12 12 12 12 11 11 nan nan nan nan nan nan nan nan nan nan
6 6 6 5 5 5 5 5 5 5 6 6 7 8 9 10 11 12 13 13 13 13 13 14 13 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 13 13 14 13 12 10 8 7 9 17 29 37 39 36 31 26 24 23 20 18 20 22 25 28 29 28 28 32 35 34 33 36 41 43 44 45 46 46 44 37 38 53 69 79 84 79 66 54 48 45 43 39 36 43 45 40 36 31 19 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 6 6 9 10 11 11 11 10 11 16 21 23 23 19 13 9 10 10 8 6 5 5 5 5 5 5 5 6 5 2 1 0 1 1 2 2 2 1 0 1 2 3 4 6 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 2 8 5 1 2 1 0 0 0 0 1 1 1 1 3 5 6 7 6 5 4 4 3 2 0 0 2 6 8 10 11 11 11 11 11 10 nan nan nan nan nan nan nan nan nan nan
7 6 6 6 6 5 5 5 6 6 6 6 7 7 8 10 12 13 13 14 13 13 13 14 14 14 14 14 14 14 14 13 13 13 12 12 12 11 12 12 12 12 12 12 13 13 13 12 10 8 7 12 23 34 40 38 32 27 24 23 21 19 19 21 22 22 20 18 18 24 32 36 33 32 34 34 32 31 33 38 44 48 52 60 74 82 82 74 64 57 54 51 46 41 40 56 56 39 30 23 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 9 19 23 24 21 14 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 10 10 11 11 11 10 11 15 19 21 21 17 11 9 10 11 10 7 6 5 6 6 5 6 5 6 6 4 2 1 1 2 2 2 2 1 0 0 1 2 3 5 6 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 9 3 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 6 6 5 4 3 3 5 8 10 10 10 10 9 9 8 7 nan nan nan nan nan nan nan nan nan
7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 12 13 13 14 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 12 12 13 13 13 11 9 8 10 18 28 37 39 34 27 23 22 21 20 19 19 20 19 17 14 12 15 21 26 27 26 28 30 28 24 21 26 39 46 48 55 70 78 74 67 62 60 58 53 46 43 50 64 58 28 16 9 4 0 0 0 0 0 0 0 0 0 0 0 1 4 7 12 20 32 39 40 38 32 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 10 10 10 11 10 10 10 13 16 17 16 13 9 9 10 11 11 10 8 6 6 6 7 8 7 6 6 5 3 2 2 2 3 3 2 1 0 0 0 1 2 4 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 5 4 1 0 0 0 0 0 0 0 0 4 5 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 3 4 5 6 7 6 6 5 5 5 7 8 9 9 8 8 7 5 4 nan nan nan nan nan nan nan nan nan
7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 12 12 13 13 13 13 14 14 15 15 15 15 15 15 15 14 14 13 13 13 12 12 12 11 11 11 11 10 10 11 12 13 14 13 10 8 8 12 22 32 39 36 28 22 20 21 21 20 19 19 19 16 13 12 12 15 18 18 18 24 30 29 24 18 16 23 35 44 52 64 71 70 67 65 61 54 48 43 43 48 49 36 17 5 2 0 0 0 0 0 0 0 0 0 0 1 4 7 12 18 24 28 30 28 29 28 23 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 7 10 11 11 10 10 10 11 12 13 11 9 8 9 10 11 11 11 10 8 6 7 8 10 10 8 6 6 5 4 4 4 4 4 3 2 0 0 0 1 2 4 5 5 5 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 5 3 2 2 1 0 0 0 0 0 0 3 3 1 1 0 0 0 0 1 2 4 4 2 0 0 0 0 0 1 3 5 6 7 7 6 5 5 6 6 6 7 7 7 7 6 4 1 nan nan nan nan nan nan nan nan nan
7 7 8 8 8 8 8 8 8 8 9 9 10 12 13 13 13 13 13 13 13 14 15 15 16 15 15 15 15 14 14 14 14 13 13 13 12 11 11 10 10 10 10 10 10 12 13 14 13 12 8 7 8 14 26 36 38 32 23 19 20 22 21 20 20 19 16 14 13 14 14 15 16 16 19 25 28 24 18 14 17 26 36 45 53 60 66 71 69 60 46 38 34 38 39 30 17 9 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 10 11 9 6 4 6 7 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 6 10 11 10 10 10 9 9 9 9 8 8 8 9 10 10 10 11 11 10 7 8 9 12 12 10 7 6 6 6 6 6 5 5 4 2 1 1 1 2 3 4 5 5 4 4 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 6 6 4 0 1 0 0 0 3 5 5 4 3 2 0 0 3 6 7 7 6 4 1 0 0 0 0 2 3 5 7 7 7 6 6 7 7 7 6 6 6 5 5 4 2 nan nan nan nan nan nan nan nan nan
7 8 8 8 8 8 9 9 9 10 10 11 13 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 14 14 14 14 14 14 14 13 12 12 11 10 10 10 10 10 10 11 12 13 13 12 9 6 6 8 17 30 38 35 27 21 19 22 21 19 19 18 16 13 12 13 13 14 14 14 15 18 21 21 16 13 15 20 27 33 39 46 56 67 70 60 43 31 25 29 29 18 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 6 10 11 10 10 9 9 8 8 7 8 8 9 9 9 9 10 10 11 11 10 9 10 12 12 11 9 7 6 6 6 6 6 5 5 4 2 1 1 2 3 4 5 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 10 9 9 8 5 3 1 2 5 7 8 8 7 5 2 2 5 8 8 8 6 3 0 0 0 0 0 0 1 3 6 6 6 7 6 7 7 8 8 7 6 4 2 2 1 0 nan nan nan nan nan nan nan nan
8 8 8 9 9 9 9 9 10 10 11 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 11 10 10 9 9 10 10 11 11 12 13 12 10 6 4 6 9 21 35 38 32 24 20 20 20 17 18 19 18 14 12 12 12 12 13 15 15 15 17 18 14 10 11 17 23 28 33 38 47 59 68 66 54 42 31 24 24 12 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 5 5 6 9 11 10 10 9 9 8 7 7 8 9 9 8 8 8 8 8 9 10 11 12 12 13 13 11 10 8 7 6 6 6 6 6 6 5 4 2 2 2 4 4 4 4 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 10 10 10 10 10 9 6 4 3 4 7 8 9 9 8 7 7 8 8 9 8 7 2 2 2 2 1 1 1 1 2 5 6 8 7 7 7 7 7 8 8 7 5 2 0 0 0 nan nan nan nan nan nan nan nan
8 9 9 9 9 9 9 9 10 10 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 14 13 13 13 12 11 10 10 10 10 11 11 10 11 12 12 11 7 4 4 6 11 25 36 34 28 22 20 20 18 18 20 20 16 13 12 11 12 13 14 16 16 17 17 15 12 13 19 25 30 35 39 44 50 63 72 72 63 47 31 24 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 5 6 9 11 10 10 10 9 8 8 8 9 10 9 8 8 8 7 7 8 9 11 13 13 13 13 12 11 9 7 7 7 7 7 6 6 6 5 4 3 3 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 9 10 10 10 10 10 9 8 6 4 4 4 6 8 9 9 8 9 9 9 9 9 8 6 6 6 6 6 6 5 4 4 4 4 6 7 7 7 6 5 6 7 8 7 5 2 1 0 nan nan nan nan nan nan nan nan
8 8 9 9 9 9 8 9 9 10 10 11 11 12 12 13 13 14 14 14 14 14 14 14 14 14 15 15 15 15 14 13 13 13 13 13 13 13 13 12 11 10 10 10 10 10 9 10 10 12 11 8 5 4 5 7 14 28 34 31 26 22 22 21 19 19 20 18 15 13 13 13 14 16 18 18 18 18 18 17 19 24 29 33 37 42 45 46 58 72 80 75 62 46 26 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 10 10 11 10 9 8 8 9 9 10 10 9 8 8 8 7 8 10 11 12 12 12 12 12 12 10 8 7 6 7 8 6 6 6 6 4 4 3 3 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 8 9 10 10 10 10 10 10 9 8 6 4 1 2 4 7 8 8 8 9 9 9 9 8 8 8 8 8 8 9 8 6 3 1 1 1 2 5 5 4 4 4 6 7 8 8 8 5 2 nan nan nan nan nan nan nan nan
8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 14 14 14 14 14 14 15 15 16 16 15 14 14 13 13 13 12 12 13 13 12 12 12 11 10 10 9 9 8 9 10 11 10 6 4 4 4 8 18 29 32 30 26 24 22 19 17 18 20 20 19 18 16 15 20 27 28 24 19 20 21 27 32 34 36 38 41 44 46 55 69 78 71 62 52 32 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 10 11 11 9 9 9 9 9 9 10 9 8 8 8 8 8 10 11 11 12 12 12 12 12 10 8 6 6 6 7 6 6 6 5 5 4 3 3 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 6 7 7 8 9 10 12 13 12 11 11 10 10 8 6 4 2 0 1 4 6 7 7 7 7 7 8 8 8 8 8 9 8 8 7 4 1 0 0 0 0 1 1 2 2 4 5 7 8 9 9 9 7 6 nan nan nan nan nan nan nan
10 9 8 7 7 7 7 8 8 8 8 8 9 10 10 11 11 12 12 13 13 13 14 14 14 15 15 16 16 15 14 14 13 13 13 12 12 12 12 12 12 12 12 10 9 8 8 8 9 10 11 11 9 5 3 4 5 11 21 28 31 30 26 22 18 16 17 19 22 24 24 21 16 21 32 34 28 21 22 26 34 39 41 40 40 39 41 44 50 66 71 62 52 43 28 10 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 5 6 9 10 11 10 10 9 9 9 9 10 10 10 9 8 7 7 7 8 10 10 10 10 11 12 10 8 7 6 6 6 6 6 6 6 5 4 4 3 3 4 4 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 7 8 9 9 11 13 17 19 19 18 12 11 10 8 6 4 1 0 0 1 2 4 4 4 4 4 4 5 6 7 8 9 9 8 6 2 0 0 0 0 0 0 0 0 0 1 6 8 8 9 9 9 9 8 nan nan nan nan nan nan nan
9 10 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 11 12 12 12 13 13 14 14 14 14 15 15 14 14 14 13 13 13 13 12 11 11 12 12 12 12 10 8 7 8 8 9 9 10 11 10 7 4 3 4 8 15 22 27 32 30 24 20 16 16 19 22 24 26 24 18 18 28 33 27 22 25 31 38 42 46 46 43 40 38 40 45 58 60 51 28 14 7 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 10 10 9 10 10 9 9 9 10 10 10 8 6 5 4 4 5 7 8 8 8 8 8 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 6 7 8 11 13 15 18 21 24 26 25 23 16 12 10 8 6 3 0 0 0 0 0 1 1 1 0 1 1 2 4 8 14 16 14 10 7 3 1 0 0 0 0 0 0 0 0 0 4 8 9 9 9 10 9 9 nan nan nan nan nan nan nan
8 10 10 9 8 8 8 8 8 7 8 8 8 8 8 8 9 10 10 11 12 12 12 13 13 14 14 14 14 14 14 13 13 13 13 12 12 11 10 11 12 12 12 10 8 8 8 9 9 9 10 11 11 10 6 4 4 5 12 18 22 29 33 29 22 18 16 17 20 24 25 24 20 19 21 25 24 24 28 33 37 41 47 51 49 42 35 34 39 46 49 43 11 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 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 8 8 10 10 10 9 9 10 10 10 8 5 4 3 3 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 12 19 24 26 28 30 30 28 25 20 14 10 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 4 13 22 26 23 17 10 7 3 1 0 0 1 1 0 0 0 1 4 8 9 10 10 9 9 8 nan nan nan nan nan nan nan
8 10 11 11 11 10 9 8 8 7 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 13 13 13 13 13 12 12 13 13 12 11 10 10 9 10 10 11 10 9 8 8 8 9 10 10 10 11 11 11 9 6 4 4 11 15 18 23 30 31 26 21 17 16 16 19 21 20 18 18 18 20 20 24 29 33 36 40 45 50 55 50 36 28 32 42 44 33 11 4 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 8 7 8 9 10 10 9 9 9 10 10 8 5 3 3 3 4 5 5 5 5 5 4 4 4 4 5 5 6 6 5 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 7 10 16 23 31 36 34 30 28 23 17 11 8 6 2 0 0 0 0 0 0 0 0 0 0 0 1 6 17 30 31 29 22 11 7 4 1 0 2 4 3 0 0 0 1 5 9 9 9 9 9 8 8 8 nan nan nan nan nan nan
10 11 11 12 11 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 11 11 12 12 12 11 11 11 11 11 10 10 9 9 8 8 8 8 9 8 8 7 7 8 9 10 11 10 11 11 12 11 8 5 5 8 14 16 18 26 33 32 26 21 18 14 13 15 15 14 14 16 18 19 23 28 33 37 38 39 45 57 61 46 29 29 42 38 24 12 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 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 9 9 8 8 8 8 9 8 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 5 6 5 4 3 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 5 6 6 6 5 3 2 2 7 23 35 38 35 31 26 18 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 2 8 24 42 36 27 17 8 4 2 0 0 2 5 4 1 0 0 1 6 11 12 11 10 9 8 7 7 nan nan nan nan nan nan
12 12 12 12 11 10 9 8 8 9 10 11 11 11 11 10 10 9 8 8 9 9 10 10 11 11 11 10 10 10 9 8 8 8 7 7 7 8 8 7 8 8 8 8 8 8 8 9 11 12 12 12 12 12 12 10 6 4 6 11 16 14 16 28 36 34 29 25 19 14 12 13 12 13 15 18 18 20 26 33 36 35 34 41 57 67 59 39 30 33 24 15 8 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 1 3 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 0 0 0 0 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 7 8 8 8 8 8 7 7 8 8 8 7 5 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 4 3 4 4 6 9 9 6 4 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 4 2 1 1 4 6 7 8 8 8 4 2 0 0 0 10 25 37 40 35 28 20 11 8 5 2 0 0 0 1 0 0 0 0 0 0 0 3 11 35 46 36 20 8 2 0 0 0 0 3 5 3 1 0 0 1 5 12 17 16 12 9 8 6 5 nan nan nan nan nan nan
14 14 14 12 12 9 9 9 10 12 13 14 14 14 14 13 12 10 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 6 6 7 7 8 8 9 9 10 10 10 10 9 8 10 12 14 14 13 12 12 12 12 8 4 5 8 14 15 12 21 36 39 38 34 26 17 11 13 14 15 16 17 17 18 24 32 34 32 31 41 60 72 67 47 31 27 16 8 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 1 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 8 8 7 6 6 7 8 7 5 4 4 5 5 4 4 4 4 3 4 4 4 4 3 3 2 2 4 4 4 4 5 5 4 4 4 4 4 5 8 11 10 9 8 6 4 3 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 6 5 4 2 0 1 4 7 9 12 13 12 8 3 0 0 0 3 12 29 45 41 33 25 15 8 4 1 0 1 2 2 2 2 1 0 0 0 1 8 24 43 45 30 11 2 0 0 0 0 0 2 2 2 0 0 0 0 5 14 22 24 17 10 7 4 3 nan nan nan nan nan nan
12 13 13 12 10 9 9 9 11 14 16 16 16 16 15 15 14 13 11 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 8 10 11 12 12 12 12 12 12 12 11 10 10 12 15 15 14 13 13 13 13 10 5 4 7 12 16 14 16 26 36 43 43 32 18 10 12 19 20 18 16 15 19 26 33 34 31 31 40 58 71 69 52 30 16 12 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 7 7 7 7 8 6 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 3 4 4 4 4 4 4 4 4 4 4 4 7 10 10 9 8 8 8 8 7 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 5 4 4 2 0 2 5 10 16 20 18 14 10 5 1 0 0 0 4 16 42 44 38 30 19 11 6 3 1 4 5 4 4 3 2 1 2 3 7 21 38 47 40 21 4 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 26 31 21 10 7 4 2 2 nan nan nan nan nan
10 10 10 10 9 9 9 9 10 10 12 15 17 17 17 16 16 16 14 13 12 12 11 10 10 11 11 10 10 10 10 9 9 10 11 12 14 15 16 14 14 15 15 14 14 13 11 10 11 15 17 16 14 13 13 13 12 7 4 5 10 15 16 16 22 34 47 51 39 21 11 14 24 27 20 14 13 21 31 35 34 31 32 35 46 62 60 40 18 8 9 4 3 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 9 8 8 8 8 8 7 7 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 5 6 8 11 10 9 7 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 17 15 12 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 7 8 7 4 3 3 2 1 2 5 12 20 23 16 9 6 2 0 0 0 0 1 7 24 34 36 30 21 11 8 6 7 14 16 14 10 7 5 6 7 12 23 38 48 44 30 11 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 27 33 23 12 7 4 2 2 nan nan nan nan nan
9 9 9 9 9 9 9 9 9 9 9 11 15 17 17 17 17 18 17 16 16 16 15 14 14 15 15 14 14 15 14 14 14 16 16 16 18 18 18 17 17 17 17 16 15 14 12 10 10 12 16 17 16 14 12 12 12 10 5 4 7 14 16 18 24 35 47 56 44 28 18 19 27 31 23 12 10 21 32 35 32 31 32 30 30 47 52 40 25 14 8 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 9 9 8 8 9 8 7 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 7 8 10 10 10 9 7 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 18 20 18 16 14 12 10 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 2 6 10 12 12 10 8 5 4 4 3 2 4 6 11 14 8 3 2 1 0 0 0 0 4 7 13 20 26 27 20 12 10 10 17 28 35 32 24 18 16 19 20 26 34 41 41 31 17 5 1 0 0 1 2 1 0 0 0 0 0 0 0 0 2 4 18 24 19 11 6 4 0 0 nan nan nan nan nan
9 9 9 9 9 9 9 9 9 9 9 9 9 13 18 18 18 19 20 20 19 19 19 18 18 19 19 19 19 18 18 17 17 18 18 20 22 22 22 21 21 21 20 18 16 15 13 12 10 10 13 16 16 14 12 12 12 11 8 4 6 12 16 17 21 30 43 55 52 38 27 26 30 30 22 12 10 20 29 31 28 26 28 27 24 35 48 41 24 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 8 8 8 8 7 8 9 6 5 4 4 4 3 3 4 4 4 4 4 4 3 3 2 2 3 4 4 4 4 4 4 5 7 9 10 10 10 9 9 7 5 2 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 18 20 20 19 18 16 14 12 11 10 8 6 4 1 0 0 0 1 0 0 0 2 8 13 16 16 15 14 12 11 10 10 8 4 1 1 1 1 0 0 1 1 0 0 0 4 11 14 14 15 18 22 21 16 16 19 28 39 47 48 42 36 35 36 36 36 34 30 22 17 10 5 2 2 3 4 4 2 0 0 0 0 0 0 0 0 1 2 7 9 8 7 5 2 0 0 nan nan nan nan nan
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