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 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 7 9 9 7 5 4 3 3 3 4 5 5 6 7 8 9 10 10 9 8 7 7 6 6 4 4 3 3 2 2 2 2 2 3 4 5 5 4 4 3 3 3 5 5 5 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 5 6 6 7 6 5 4 5 6 7 8 7 6 6 5 5 5 5 5 5 6 6 7 7 6 6 5 5 5 7 8 10 10 7 3 3 9 10 -2 6 9 3 1 4 1 7 13 7 2 2 4 4 4 6 -0 1 8 9 2 6 7 2 -0 2 6 3 -2 0 11 16 9 2 5 9 7 7 5 2 5 5 -0 -1 3 7 6 5 8 5 -1 2 7 6 3 -1 -1 3 4 2 10 29 43 34 16 8 5 4 3 3 3 4 3 2 2 1 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 7 9 11 14 17 20 20 15 10 6 3 3 4 5 4 4 -2 -4 1 4 5 4 4 5 5 5 5 3 2 3 4 4 6 8 7 6 5 4 5 11 14 7 5 5 5 5 5 4 4 3 4 3 2 1 1 1 1 1 1 1 1 1 1 2 3 3 2 1 1 2 3 4 4 4 4 4 6 7 8 10 11 12 12 10 7 4 4 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 8 17 27 20 9 6 9 7 1 1 -4 -6 -12 -6 0 -4 -3 3 4 3 1 0 -4 -12 -15 -9 -7 -8 -6 -2 3 5 5 5 6 7 10 15 18 18 11 7 10 11 11 12 13 15 17 19 18 16 16 17 18 16 12 11 11 12 10 9 7 5 4 4 5 6 6 6 5 5 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 nan nan nan nan nan nan 4 5 5 4 4 4 5 5 5 5 5 5 4 4 4 3 5 6 7 8 8 6 5 4 2 2 2 3 4 4 6 8 9 10 10 11 10 9 8 8 6 4 4 4 3 3 3 2 2 2 3 4 5 5 5 4 3 3 3 5 5 5 5 4 3 3 3 2 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 3 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 4 5 4 5 5 6 6 6 5 5 5 6 7 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 5 7 10 12 16 13 4 6 17 11 2 9 10 7 2 6 3 3 5 7 6 5 1 -1 3 4 -0 1 6 4 -1 7 9 3 1 4 9 10 4 -2 5 15 14 10 8 8 10 11 7 6 9 8 3 2 2 0 0 5 8 5 1 2 5 6 5 5 6 7 9 13 24 36 37 22 9 6 4 3 3 4 4 3 2 2 2 2 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 8 10 13 17 20 19 14 8 4 2 2 4 5 4 1 -3 -6 -1 5 5 5 4 4 4 5 4 2 2 2 3 5 7 8 6 5 5 5 5 10 11 6 5 5 5 5 5 5 4 3 3 3 2 2 1 1 1 1 1 1 0 0 2 3 4 4 3 2 3 3 4 4 4 4 4 5 6 8 9 11 12 13 13 11 8 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 9 18 26 24 17 13 7 8 12 9 -0 0 1 2 1 2 3 5 8 8 7 3 -0 -1 -2 -1 -3 -4 -2 1 4 5 5 4 5 5 6 9 11 10 5 6 7 8 8 10 11 14 15 13 12 11 11 10 8 8 8 8 10 10 8 7 5 5 5 7 7 7 6 5 5 5 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 nan nan nan nan nan 4 4 3 3 3 3 3 4 5 5 5 5 5 5 4 4 3 4 5 6 7 7 7 6 5 3 3 2 2 2 3 4 5 7 8 10 10 10 10 9 8 6 5 5 5 4 3 3 3 3 3 3 4 5 5 4 3 3 3 3 5 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 3 4 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 6 6 6 5 6 5 6 7 7 7 6 6 5 5 5 6 5 5 5 5 5 6 6 5 4 3 4 8 12 13 20 17 5 8 17 6 4 8 6 5 4 5 3 -2 -1 4 9 12 3 -1 5 6 3 1 5 3 -1 6 8 5 5 7 10 12 10 8 9 8 9 12 9 7 9 6 4 8 11 12 8 4 -1 -3 -0 5 6 7 7 4 3 5 6 7 8 10 15 26 38 36 22 10 6 5 4 3 3 4 4 3 3 2 2 2 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 6 7 9 12 16 19 18 13 8 4 2 3 4 4 2 -0 -6 -11 -2 6 6 6 5 4 3 4 5 4 2 2 3 6 8 7 6 5 5 4 4 8 7 2 3 4 2 1 4 5 4 3 2 3 2 2 2 2 2 2 2 1 1 1 3 5 6 5 4 4 4 4 4 4 4 4 5 5 7 8 10 11 12 14 15 13 9 6 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 5 6 6 5 5 5 5 5 6 6 6 6 5 4 3 3 6 14 20 22 17 8 6 6 5 4 5 6 5 4 4 4 6 7 8 9 7 6 7 5 4 3 2 2 3 4 5 4 4 4 4 4 5 6 7 5 5 6 6 6 7 8 9 10 9 7 7 6 4 4 5 6 8 9 9 9 7 6 5 6 7 8 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 nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 3 3 2 2 2 2 3 5 5 5 5 5 5 5 4 4 4 4 5 6 7 7 6 6 5 4 4 3 2 3 3 4 4 5 6 7 8 8 7 7 7 7 6 5 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 5 6 6 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 5 5 4 4 4 3 4 5 5 5 5 6 6 6 7 7 7 6 6 5 5 6 6 5 4 5 5 5 6 5 4 4 3 3 7 10 10 16 15 5 4 10 6 4 7 6 0 5 6 -1 -5 -0 7 13 14 6 4 10 11 5 1 3 2 2 5 5 5 8 9 8 10 10 12 13 11 10 9 8 9 10 1 -2 6 13 16 12 4 -3 -3 2 5 8 9 8 5 4 5 6 6 8 14 26 38 38 24 10 6 6 5 4 4 4 4 4 4 3 2 2 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 8 11 15 18 17 13 8 4 3 3 4 3 1 -3 -10 -10 1 7 7 6 6 5 4 4 5 4 3 3 3 6 8 7 6 5 5 4 4 6 5 1 1 1 -1 1 4 5 3 3 2 3 2 2 3 2 2 3 3 2 2 2 5 7 8 7 5 5 4 4 4 4 4 4 5 5 7 8 9 10 11 12 14 13 10 7 6 5 4 3 3 4 5 5 5 5 5 4 5 4 4 5 6 5 5 5 5 5 5 5 6 6 6 6 4 3 2 1 3 7 14 16 10 6 5 3 2 4 6 6 5 5 5 7 8 7 7 7 6 4 4 5 5 5 5 6 6 5 4 4 4 4 4 3 4 4 5 5 6 6 5 5 6 6 6 6 5 4 4 3 3 4 5 6 7 8 8 8 6 5 5 7 7 7 6 6 6 5 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 nan nan nan nan nan 4 4 3 3 2 2 1 1 2 3 3 4 5 5 5 5 6 5 5 5 4 4 4 5 5 5 6 5 5 5 4 3 3 2 2 3 3 4 4 5 5 6 6 6 6 6 6 6 5 5 4 3 3 4 4 4 4 4 3 3 3 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 5 6 6 5 4 5 5 6 6 5 5 5 4 5 5 4 4 5 5 5 4 4 3 4 4 4 5 5 5 6 7 7 8 7 7 6 6 5 6 6 5 5 4 5 5 5 5 4 4 3 4 6 6 6 9 10 5 5 8 5 2 4 4 -2 6 11 4 -1 2 9 13 7 2 0 7 10 4 0 1 3 8 10 3 1 6 10 10 8 6 6 9 14 15 9 6 8 8 5 2 6 9 11 10 5 2 5 5 5 8 8 7 5 3 3 3 4 7 19 33 35 23 11 6 5 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 10 13 16 16 13 8 5 4 3 4 3 1 -2 -5 -2 4 7 7 6 5 5 5 5 5 4 3 2 3 5 8 7 5 5 5 5 4 4 4 3 -0 -1 4 8 7 4 3 3 2 2 3 3 3 3 3 3 3 2 2 4 6 8 8 6 5 5 5 5 4 4 4 4 5 5 6 8 8 8 9 11 13 13 11 9 7 5 3 2 3 4 4 4 4 5 5 4 5 4 3 5 5 6 5 5 4 4 4 4 4 4 3 3 1 -0 -1 -2 -3 -3 1 7 8 6 5 3 4 6 8 7 5 4 4 7 10 11 9 6 7 6 5 6 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 5 6 6 7 7 6 5 6 6 6 6 5 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 nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 3 3 2 2 2 2 2 3 3 4 5 5 5 6 7 7 6 5 4 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 5 5 4 3 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 3 3 4 3 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 4 4 4 3 3 4 5 5 5 6 7 7 7 7 7 6 5 5 6 6 5 4 4 5 5 5 5 4 4 4 4 5 8 11 7 3 7 7 4 3 2 1 2 5 8 10 7 3 8 10 3 1 -0 1 3 5 4 4 5 11 12 4 -1 1 8 11 4 -2 2 5 10 9 6 5 4 4 8 9 5 4 6 7 8 11 11 6 6 7 6 7 6 4 3 2 3 8 20 27 20 10 5 5 5 5 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 6 7 9 11 13 13 11 7 5 4 4 4 3 2 -0 -1 2 4 6 7 6 5 5 5 4 5 4 3 2 4 6 8 7 6 5 5 5 4 3 3 3 1 2 8 11 7 3 3 3 3 3 3 4 4 5 6 5 3 3 3 4 5 6 6 5 4 4 5 5 5 4 3 4 5 6 6 7 7 7 7 9 11 12 11 10 8 4 2 3 3 4 4 4 4 5 5 5 4 4 3 4 5 5 5 4 4 3 2 2 1 1 0 -1 -2 -5 -4 -5 -6 -5 -3 1 5 5 4 4 5 8 10 8 3 5 9 7 8 14 11 7 7 7 8 8 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 7 6 5 5 6 6 5 5 5 5 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 nan nan nan nan 3 3 3 2 2 2 2 2 2 2 3 3 2 3 4 4 5 5 7 7 7 6 5 4 4 4 4 4 4 5 5 5 6 5 5 5 4 3 3 4 3 3 3 3 3 4 4 5 6 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 3 3 3 4 3 3 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 4 4 5 6 7 7 7 7 7 5 5 5 6 6 5 4 4 5 5 5 4 4 4 4 4 5 9 12 8 4 6 6 5 3 -0 5 9 3 1 7 11 5 8 9 1 4 7 1 -0 6 9 6 2 5 6 7 1 -1 6 11 -0 -8 1 5 6 1 2 3 5 3 -1 2 2 5 5 1 7 11 11 7 5 6 5 5 6 6 4 3 4 11 20 19 9 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 10 11 11 9 6 5 4 4 5 4 4 2 1 3 4 5 6 6 5 5 5 5 5 4 3 4 6 8 7 7 6 5 5 4 4 2 2 3 3 1 1 4 5 3 2 3 3 4 5 7 8 9 8 6 4 3 3 4 4 3 4 4 4 4 4 5 5 4 4 4 4 5 5 6 6 6 7 8 10 11 11 10 7 4 2 3 3 4 4 3 4 5 5 5 4 4 4 4 4 4 5 4 3 2 2 0 -0 1 2 1 -1 -4 -3 -2 -3 -3 1 3 4 5 6 4 3 7 8 6 5 4 6 6 8 12 12 8 7 7 7 7 7 7 6 6 6 6 6 5 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 5 6 7 7 6 6 5 6 6 6 5 4 4 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 nan nan
nan nan nan nan nan nan nan 4 3 3 3 3 3 3 2 2 3 3 3 2 2 3 3 4 4 5 6 7 7 6 5 5 5 5 4 4 4 4 5 6 6 7 6 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 5 5 5 5 5 4 3 4 4 4 5 7 7 7 7 7 5 5 5 5 6 5 5 5 4 5 5 5 4 4 4 4 5 7 10 10 8 7 7 7 8 6 6 5 2 1 7 10 7 9 6 3 6 7 5 3 5 6 4 1 3 4 7 5 3 10 8 -6 -6 4 9 7 1 0 1 5 3 -2 1 2 4 3 -2 2 5 5 5 6 8 7 4 4 3 4 6 8 17 23 15 6 5 5 5 5 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 8 9 9 8 6 5 5 6 5 5 6 5 2 3 6 8 7 5 5 4 5 6 5 4 4 6 8 8 7 6 5 5 4 4 3 3 3 5 4 3 2 3 3 2 2 3 4 5 7 8 10 11 10 6 3 2 2 3 3 2 2 3 4 4 4 5 5 4 4 4 5 5 5 6 6 6 7 7 10 11 11 10 6 4 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 2 2 1 0 -0 2 7 5 3 1 1 2 2 2 3 4 4 5 6 5 4 5 5 6 9 7 2 1 5 9 9 7 6 7 7 7 7 7 7 6 6 7 7 5 2 2 3 4 4 4 4 4 4 4 4 5 5 5 6 5 5 4 4 4 5 5 5 5 6 7 8 7 6 6 6 7 7 6 4 4 5 6 5 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 nan nan nan 4 3 3 4 4 4 3 3 3 3 4 4 3 2 2 2 3 3 4 5 5 6 6 6 6 6 5 4 5 4 4 5 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 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 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 4 4 4 5 5 6 6 6 6 5 6 6 6 5 4 3 4 4 5 6 7 7 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 3 3 5 7 8 8 8 9 9 10 10 6 5 7 6 6 7 10 11 5 7 6 4 7 6 5 4 4 5 4 4 6 6 9 14 3 -8 -1 7 10 10 7 1 0 3 2 2 6 7 8 5 3 2 3 1 5 8 10 7 4 2 2 5 9 13 22 21 11 5 5 5 5 5 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 5 5 5 5 6 5 5 4 4 5 5 6 7 8 7 7 6 6 6 6 6 6 6 5 5 12 14 10 8 6 5 6 7 6 5 6 8 9 8 7 6 5 4 3 2 2 2 3 5 6 7 7 4 2 2 2 4 5 6 8 11 12 12 10 6 2 -0 1 2 2 2 2 3 4 4 4 5 5 5 5 4 4 4 5 5 6 6 6 7 9 11 11 9 6 3 3 3 4 4 4 4 5 5 6 6 5 5 4 5 4 5 5 4 2 1 0 3 4 4 7 7 5 5 2 1 3 4 3 3 4 4 4 7 8 8 8 10 13 11 4 -0 2 5 6 6 6 6 6 7 7 7 8 8 7 8 8 8 5 2 3 4 5 4 3 3 4 4 4 5 6 6 6 6 5 5 4 4 5 5 5 5 5 7 7 8 7 6 6 7 7 6 5 5 5 6 6 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 nan nan 4 4 4 3 4 4 4 4 3 3 3 3 4 4 3 3 3 2 2 2 3 4 5 6 6 7 6 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 3 3 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 7 5 4 3 4 5 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 4 3 2 2 2 4 7 6 6 10 10 7 4 7 10 11 10 6 3 4 7 9 11 8 4 7 8 8 7 7 6 4 5 4 4 10 11 -2 -6 4 8 9 10 10 2 5 6 4 6 4 5 9 5 7 4 6 4 8 14 11 5 2 1 2 6 9 15 21 16 7 5 5 4 4 4 4 5 5 5 5 4 4 3 3 3 3 4 3 3 3 4 4 4 4 4 4 5 5 5 6 5 6 6 6 5 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 12 16 16 15 12 10 9 8 7 6 7 9 8 7 7 6 5 3 2 1 2 3 4 6 7 8 9 7 5 3 3 4 5 6 9 12 15 12 8 4 0 -1 1 3 3 3 2 3 3 4 4 4 5 6 5 4 4 4 5 5 5 6 6 6 8 10 10 9 6 3 2 2 3 4 4 4 5 5 6 5 5 5 5 5 4 4 4 3 2 0 0 6 12 9 5 6 6 6 5 2 2 3 5 5 6 6 5 9 12 12 13 12 12 13 11 5 4 5 5 5 6 6 6 7 7 8 8 8 8 9 10 11 10 8 6 5 5 5 4 3 3 3 4 4 5 5 6 7 6 5 5 4 4 4 4 4 5 6 7 7 7 6 6 6 6 6 6 5 6 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 nan nan nan
nan nan nan nan nan nan 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 2 2 2 2 3 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 3 4 4 4 3 3 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 9 8 7 5 4 4 5 5 6 6 5 6 6 6 5 4 5 5 6 6 6 5 5 5 6 5 4 3 2 1 3 6 9 8 8 8 5 2 8 10 8 6 2 0 -0 4 11 11 7 5 4 9 12 11 7 4 3 6 6 4 3 5 -1 -1 5 7 9 11 7 2 7 5 5 6 5 6 4 3 5 4 6 8 12 16 13 7 4 3 4 6 8 15 19 12 5 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 5 5 6 6 6 6 6 6 6 5 4 4 5 5 5 5 6 6 7 6 7 7 7 7 7 7 7 10 14 17 17 16 15 13 11 11 12 10 8 7 6 5 3 2 2 3 5 8 10 10 10 11 13 13 8 3 3 4 5 6 8 13 15 13 8 2 -1 0 3 4 4 3 3 3 4 4 4 5 5 5 5 5 5 2 2 3 5 6 5 5 6 8 9 9 7 4 2 0 -0 1 2 3 4 5 5 5 4 4 4 3 3 2 1 1 0 -1 -1 4 15 13 6 5 5 5 6 4 3 5 9 11 11 10 10 12 14 14 13 11 9 10 10 7 5 5 5 5 5 5 6 7 7 9 9 9 9 9 10 11 11 9 8 6 5 5 5 3 3 3 3 4 4 5 6 7 8 7 6 5 4 4 4 4 4 5 6 6 6 6 5 5 5 6 5 4 5 7 8 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 3 4 4 4 4 4 5 5 5 4 4 4 3 4 3 3 3 3 3 3 2 2 3 3 4 5 5 5 6 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 7 8 8 9 9 10 9 7 6 5 4 5 6 6 6 6 6 6 5 5 5 5 5 6 7 6 5 5 6 6 5 4 3 2 3 5 9 14 12 7 3 1 4 8 9 7 4 1 1 6 7 6 5 5 4 1 7 13 13 7 2 0 3 7 4 -2 0 1 2 5 4 6 8 3 2 3 4 5 4 7 6 5 7 4 -0 2 8 10 11 11 8 4 7 10 10 12 18 17 8 4 4 4 3 3 4 4 4 5 4 4 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 5 6 6 6 6 5 4 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 5 7 9 12 14 14 15 14 16 15 13 11 8 6 5 4 4 5 8 12 16 18 17 16 17 18 15 6 3 4 4 5 5 7 11 13 11 7 3 1 2 5 6 5 4 5 4 4 4 4 4 4 5 5 5 5 1 -5 -6 0 5 6 5 5 6 7 8 8 7 5 2 -2 -2 -2 -1 1 3 3 3 2 1 0 0 -0 -2 -5 -4 -4 -3 -2 4 12 11 6 4 5 5 6 5 5 8 12 13 13 14 11 10 11 12 10 8 7 6 5 5 5 5 5 5 5 5 6 6 8 9 10 11 10 10 10 10 9 7 7 6 6 6 6 4 3 3 3 3 4 4 5 6 7 8 7 6 5 5 4 4 4 4 6 6 6 6 6 5 4 4 4 3 4 6 9 9 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 2 3 4 3 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 3 3 3 3 2 2 3 4 4 5 5 5 4 4 4 5 4 5 4 4 3 4 3 3 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 5 5 5 6 6 7 8 9 9 10 11 10 9 7 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 7 6 6 6 6 5 5 4 3 3 5 8 13 15 9 3 -4 0 8 8 4 9 11 10 6 9 6 3 6 8 4 2 8 13 15 10 4 1 1 6 8 1 0 4 3 4 3 1 -0 -4 0 1 7 6 3 6 4 6 9 4 -5 -3 6 9 8 8 8 5 6 11 14 19 21 13 6 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 4 4 5 6 5 5 5 5 5 5 4 4 4 4 5 6 8 10 11 11 10 11 11 10 9 9 10 11 14 18 19 19 19 19 20 20 19 12 5 4 4 4 5 6 6 7 8 7 5 4 4 4 5 6 5 5 5 5 5 4 4 4 4 4 4 5 7 5 -5 -14 -11 1 6 5 5 5 6 7 8 9 8 7 4 0 -3 -4 -6 -5 -3 -1 1 -1 -4 -4 -3 -3 -7 -8 -8 -6 -2 3 8 7 5 5 5 5 6 9 12 11 10 9 9 10 8 6 6 8 8 7 6 6 4 4 4 5 4 4 5 5 5 6 7 8 10 12 12 12 11 10 9 8 7 6 6 7 7 5 4 3 4 4 4 4 5 6 6 7 8 7 6 5 5 4 4 4 5 5 6 6 6 5 4 4 4 3 3 6 8 9 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 1 2 2 2 3 3 4 4 4 4 5 4 5 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 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 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 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 4 4 4 5 5 5 4 4 5 4 5 5 5 5 6 8 8 9 11 12 12 12 11 8 6 5 6 6 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 4 3 4 6 9 11 9 5 -1 -5 4 12 12 2 11 15 13 8 3 -0 4 10 11 7 6 8 12 16 14 11 9 6 4 5 6 6 8 4 5 4 1 -1 -2 1 4 8 5 5 4 5 8 7 2 -0 3 6 7 8 8 7 6 6 7 14 22 19 9 4 3 3 3 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 4 5 5 6 6 5 5 5 5 6 6 6 6 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 6 6 6 7 9 11 14 15 16 18 20 20 16 13 12 14 15 16 14 7 4 4 4 4 5 6 6 4 4 3 3 3 3 3 2 2 4 3 0 3 5 5 4 4 5 5 5 6 10 12 7 -4 -11 -4 4 5 5 5 5 6 7 8 9 10 10 9 5 1 -4 -10 -12 -8 -3 -1 -4 -5 -2 -1 -2 -4 -5 -4 1 3 3 4 5 6 6 6 7 14 20 15 9 8 5 4 5 5 6 7 7 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 9 12 14 13 12 12 11 9 7 6 6 7 7 7 5 4 4 4 4 4 4 5 6 7 7 7 6 5 5 5 4 4 4 4 5 6 7 6 5 5 5 4 4 4 7 8 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 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 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 3 4 3 3 4 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 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 7 8 9 10 11 13 14 15 13 10 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 4 3 4 7 9 7 4 2 0 3 5 7 4 0 4 13 8 9 -1 -3 3 7 6 11 12 7 7 12 14 14 15 13 5 1 5 8 6 4 6 5 5 5 4 4 7 8 7 6 6 10 11 9 2 6 8 7 6 6 6 7 8 9 7 15 22 14 6 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 5 6 6 6 5 5 5 6 7 7 6 6 5 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 6 8 11 13 16 17 16 14 11 8 7 6 7 8 9 7 5 4 4 4 4 4 6 6 5 3 2 2 2 3 4 0 -2 1 2 -6 -8 -2 4 4 4 4 4 5 7 12 19 16 7 3 1 3 5 4 4 4 4 4 5 7 8 9 11 12 10 6 -3 -12 -13 -7 -3 -2 -2 -0 1 2 2 2 2 3 4 3 4 5 5 4 5 7 14 22 19 13 8 5 4 4 5 7 8 6 4 4 4 4 4 4 3 4 4 5 5 5 5 5 6 7 10 12 12 12 12 11 9 8 7 6 7 8 9 7 6 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 4 4 3 4 6 7 7 6 6 7 6 4 3 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 2 3 3 3 3 4 3 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 4 3 3 2 1 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 6 7 8 8 9 10 12 15 17 18 17 13 9 8 7 7 7 6 5 5 5 6 6 5 5 5 5 6 6 7 6 5 5 4 4 4 4 6 8 6 2 2 5 12 6 5 1 2 0 11 7 14 5 1 0 2 3 10 12 7 3 5 9 11 12 10 6 5 6 4 3 5 6 7 8 7 7 7 8 8 7 6 9 13 10 10 5 8 7 5 5 5 5 7 9 10 12 21 20 9 4 3 3 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 6 6 6 7 6 6 5 5 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 6 6 7 8 9 11 11 10 7 4 4 5 6 6 6 6 5 4 4 4 4 3 3 5 6 5 4 3 2 2 4 6 6 2 2 6 0 -12 -14 -6 2 3 3 3 4 5 10 18 19 10 5 5 4 4 4 3 3 3 1 0 1 2 3 4 6 10 12 8 -2 -8 -6 -2 1 0 1 2 4 4 4 5 5 5 6 7 8 7 7 6 3 4 13 15 10 6 5 5 5 6 8 8 5 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 7 9 11 11 11 12 11 11 9 7 6 7 8 10 9 8 6 6 5 5 5 5 6 6 6 6 6 6 5 6 5 4 3 3 3 4 5 7 7 7 8 7 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 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 4 5 4 4 4 5 4 4 4 3 3 3 3 4 4 4 5 5 4 3 2 2 1 2 2 3 3 3 4 4 3 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 6 6 6 7 7 8 9 10 11 14 19 23 24 21 16 11 9 9 8 7 6 4 4 5 6 5 5 5 5 5 6 6 6 5 4 3 4 5 4 4 4 6 6 3 1 7 12 6 8 7 5 -1 9 13 16 10 6 -0 2 4 5 7 3 0 3 6 7 9 6 3 6 5 -0 2 6 7 10 7 3 6 11 10 7 5 5 8 9 6 6 7 8 4 1 4 4 6 7 7 10 17 24 18 7 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 6 6 6 6 6 5 5 4 4 5 6 6 6 6 5 4 4 4 4 4 3 4 5 5 4 3 2 2 3 6 10 9 8 11 12 1 -12 -15 -8 -2 -2 -1 1 4 6 11 14 9 2 3 3 3 3 2 1 -0 -1 -4 -7 -5 -2 -5 -6 -1 7 9 6 4 5 6 3 1 1 1 4 5 3 3 5 6 9 9 9 11 12 10 7 3 6 8 5 4 5 5 6 7 8 7 5 3 3 3 4 4 4 4 4 4 4 5 5 6 6 5 6 8 10 10 10 11 11 11 11 9 7 7 9 10 10 8 7 6 6 6 5 5 6 6 5 5 5 5 5 5 6 5 3 2 2 3 4 5 6 7 7 7 5 5 5 5 5 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 6 6 6 5 5 5 5 4 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 3 3 4 5 5 4 4 4 3 2 2 2 2 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 5 6 6 6 6 7 8 8 9 10 13 18 24 29 30 26 19 13 10 9 8 7 5 4 3 4 5 5 5 5 6 6 6 6 6 4 2 2 4 5 5 4 4 5 6 5 2 4 7 9 3 3 4 2 3 11 10 7 7 3 5 4 4 7 -1 -3 2 5 6 7 3 1 5 4 1 2 3 7 11 5 -4 0 7 9 6 4 5 7 5 2 1 5 6 3 -0 2 4 6 6 6 9 20 25 15 6 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 4 5 5 4 3 2 2 3 5 7 8 12 14 9 1 -11 -16 -11 -9 -7 -6 -1 4 6 7 5 3 3 2 2 1 -0 -2 -3 -3 -3 -7 -9 -4 -3 -7 -6 1 6 8 9 9 9 7 5 3 1 5 9 7 5 5 7 10 9 8 8 10 11 10 8 7 6 4 5 5 6 6 7 7 6 5 4 3 3 3 3 4 4 4 4 4 5 6 5 6 6 6 6 7 8 9 9 10 10 10 10 9 9 9 10 10 9 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 4 3 2 2 3 4 5 5 6 6 5 4 4 5 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 5 5 5 6 5 5 5 5 5 5 5 5 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 3 3 3 3 3 2 2 2 3 4 4 4 5 4 5 4 4 4 4 3 4 4 3 3 3 4 3 4 3 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 4 5 6 6 6 6 6 7 8 8 8 11 15 21 27 33 34 29 21 14 11 10 8 6 5 3 3 4 4 5 5 6 7 8 8 7 6 4 2 3 5 5 4 5 6 6 7 8 5 1 6 13 4 3 -4 2 -3 7 5 1 4 6 9 7 7 6 -2 -3 1 4 4 3 3 7 8 4 2 1 0 5 9 3 -4 -1 4 7 5 4 6 8 5 0 0 3 1 1 4 3 4 6 5 5 11 24 24 12 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 2 3 5 9 13 9 4 -0 -7 -9 -9 -9 -11 -10 -3 2 4 4 3 3 3 3 1 -0 0 0 -0 1 1 -2 -1 1 2 1 2 5 7 7 7 8 8 7 6 4 5 8 13 12 7 7 8 8 8 5 4 7 7 7 7 6 5 5 6 6 7 7 6 5 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 7 8 9 9 10 10 8 9 10 9 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 4 3 3 2 1 2 3 4 4 5 4 4 3 3 4 4 3 nan nan nan nan nan 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 4 5 6 6 6 6 5 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 3 2 2 2 2 4 4 5 5 5 5 4 5 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 3 3 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 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 5 5 5 6 6 6 6 7 7 7 8 13 18 23 29 36 37 30 20 14 11 9 8 6 4 3 3 4 4 4 5 7 8 9 9 8 7 5 3 5 6 4 3 6 6 6 7 9 6 1 4 7 7 6 3 5 -5 2 2 -0 1 11 13 14 10 7 1 -2 -3 -1 1 2 5 10 7 3 2 2 2 5 6 4 2 2 4 4 4 5 7 5 3 5 4 1 -1 2 10 7 5 6 5 5 14 27 22 8 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 4 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 5 9 16 15 8 4 2 1 1 0 -4 -12 -12 -7 -2 2 3 3 3 5 5 4 7 8 5 4 5 5 4 5 7 7 6 6 7 5 4 6 6 4 6 7 4 4 11 13 10 9 7 7 8 6 3 4 5 6 6 6 6 5 6 6 6 6 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 8 10 12 9 7 9 9 9 9 8 8 8 7 7 7 7 7 8 7 7 6 6 6 6 6 4 3 3 2 1 1 2 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan 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 2 3 3 3 3 3 4 5 6 6 7 6 6 5 4 3 3 3 3 4 3 3 3 4 4 4 3 3 4 4 4 3 2 1 1 2 3 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 6 7 11 17 23 28 33 36 34 27 19 14 11 8 7 6 4 3 4 4 4 5 6 7 8 9 9 9 8 6 4 5 5 2 2 6 6 5 7 6 6 4 3 2 6 8 18 14 1 -9 -5 2 2 12 14 13 11 10 7 1 -6 -5 0 4 5 9 7 4 5 3 3 6 6 4 4 5 4 1 3 5 7 4 2 8 7 1 0 5 10 7 7 7 6 7 15 25 20 7 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 3 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 6 6 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 8 15 21 18 10 4 4 6 8 6 -1 -6 -11 -9 -3 -0 -1 -0 2 5 5 8 11 8 6 6 6 6 6 7 7 7 7 7 6 6 5 4 0 2 6 4 4 7 9 10 12 11 9 7 6 3 3 5 6 7 7 6 5 6 5 5 5 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 5 5 6 6 6 4 5 6 6 7 8 11 11 8 8 8 8 8 9 8 8 8 8 8 7 8 8 8 7 7 6 6 6 6 4 3 3 2 2 1 2 2 3 3 3 3 3 3 3 3 2 nan nan nan nan 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 2 2 2 2 2 2 2 3 4 4 5 6 6 7 6 5 5 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 2 2 2 2 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 3 4 3 3 4 4 4 3 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 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 5 6 6 6 6 7 6 6 11 20 26 29 33 34 31 27 21 15 12 9 8 6 4 3 4 4 5 5 6 6 7 8 9 8 8 8 7 6 5 2 1 2 5 6 9 9 4 6 6 6 6 3 4 17 17 7 -4 -6 3 5 8 7 7 12 10 8 3 -3 -2 3 5 8 10 9 7 6 2 2 6 9 6 3 6 6 1 2 6 10 8 3 4 5 2 3 7 6 4 6 7 6 8 18 25 17 7 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 5 4 4 4 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 7 11 17 22 19 12 10 7 7 9 7 5 -1 -7 -7 -5 -5 -5 -3 -3 -2 2 6 7 7 5 5 5 6 7 6 6 8 9 9 6 6 7 2 1 4 4 4 6 9 12 15 14 12 8 6 4 4 5 6 6 6 6 6 6 4 3 3 3 4 4 4 3 2 3 3 2 3 2 3 3 3 3 3 4 6 7 7 2 3 6 6 6 7 8 9 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 6 5 6 6 6 4 3 4 3 2 1 1 1 1 2 3 2 2 3 3 2 2 3 nan nan nan 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 3 2 1 1 1 1 1 2 2 3 3 4 5 6 6 6 5 5 5 4 5 5 5 4 3 3 2 3 3 3 4 5 6 6 5 3 3 2 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 4 3 4 3 3 4 4 4 4 3 4 3 3 4 4 4 3 3 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 6 7 7 7 6 11 24 35 34 31 30 27 23 19 16 12 9 8 6 5 3 3 4 4 5 6 6 7 8 8 9 8 8 7 7 6 3 1 0 2 3 6 11 12 6 4 5 10 11 5 4 11 13 10 5 3 8 8 5 2 3 10 7 6 3 2 5 5 6 8 7 8 9 7 4 3 8 11 7 4 8 8 4 3 7 10 9 5 4 4 5 8 8 4 3 4 6 5 7 19 24 16 7 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 3 4 4 4 4 4 5 4 5 4 5 5 4 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 6 6 6 5 5 5 6 5 5 6 7 10 14 19 21 18 15 10 8 8 8 6 1 -3 -3 -2 -3 -2 -4 -5 -2 2 5 8 7 4 4 6 7 6 6 9 13 11 8 8 9 5 2 4 4 4 5 9 15 19 18 13 9 6 4 5 6 6 5 6 7 7 5 3 2 2 3 4 5 4 3 3 2 3 3 3 3 2 2 2 2 3 3 4 7 10 6 2 6 6 6 6 7 7 7 7 6 6 7 8 9 9 10 9 8 7 6 6 6 6 5 6 7 8 6 4 3 3 3 2 1 1 0 -0 -0 1 2 1 1 2 2 2 2 nan nan nan 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 3 2 2 1 1 1 1 2 2 2 2 3 3 4 5 5 5 5 6 6 6 6 6 5 4 3 2 2 3 3 3 4 5 5 6 5 4 3 3 3 3 2 2 3 3 4 4 4 5 5 5 4 4 3 3 2 2 3 3 3 3 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 3 4 4 3 3 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 22 44 43 28 21 21 20 16 14 12 10 8 6 5 4 3 3 4 4 4 6 7 8 8 9 9 8 8 7 6 4 1 -1 1 1 1 7 9 10 7 2 2 6 10 10 9 11 12 6 2 6 10 9 4 2 2 4 4 4 5 6 9 6 5 5 3 5 6 7 4 5 9 10 7 7 10 11 7 5 6 7 6 5 7 10 11 13 6 2 3 5 6 4 4 13 20 19 11 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 6 5 6 5 6 5 5 5 5 6 6 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 3 3 4 3 4 4 5 5 5 5 5 5 5 6 6 5 5 6 5 5 5 5 6 8 12 16 18 20 18 13 10 10 10 7 6 6 5 5 5 4 2 2 5 6 7 9 10 10 8 7 6 6 12 15 12 10 8 7 5 3 3 4 5 6 9 15 20 19 14 9 7 5 6 6 6 5 5 7 7 5 3 2 2 3 4 5 4 3 3 3 3 3 3 2 2 2 1 1 1 2 3 4 6 8 5 6 6 5 6 6 7 7 6 6 6 6 7 8 10 11 11 8 7 5 5 6 5 5 6 8 10 9 5 3 3 4 4 2 0 -1 -2 -2 -2 -1 0 0 1 1 2 2 nan nan nan 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 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 6 6 6 6 7 6 5 3 2 2 2 2 2 2 3 4 5 5 5 4 4 4 3 2 2 2 3 3 4 5 5 4 4 4 4 3 3 2 2 2 3 3 3 4 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 7 7 7 7 8 12 32 48 32 8 3 11 14 14 12 10 8 7 5 4 3 3 3 4 4 4 5 6 8 8 8 8 8 7 6 4 1 -1 -0 1 2 1 4 6 8 7 3 3 2 6 8 5 9 10 3 0 2 5 5 5 4 1 0 5 7 10 9 8 7 4 4 4 3 3 5 2 1 5 7 7 9 11 9 7 6 5 4 3 4 10 14 14 13 6 2 3 5 6 6 6 10 15 22 17 5 3 4 4 4 4 4 3 3 3 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 4 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 7 10 14 17 17 15 15 16 15 16 18 13 8 8 10 9 8 10 12 9 9 17 16 10 10 8 5 11 13 10 7 7 6 5 5 4 4 5 6 8 12 17 17 13 9 7 6 6 6 6 5 5 6 6 5 3 2 2 4 5 5 5 5 4 3 3 3 3 3 2 1 1 1 1 1 1 2 4 4 5 5 5 5 6 6 6 7 7 6 5 5 5 7 10 12 13 11 8 6 5 6 5 4 5 8 12 12 8 5 4 6 5 2 1 -1 -3 -3 -2 -1 -0 1 1 2 2 2 nan nan 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 3 2 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 5 6 6 6 7 7 6 4 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 3 2 2 3 3 3 4 4 4 4 4 4 3 3 2 2 2 3 3 4 3 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 4 4 5 5 4 4 5 5 5 5 6 6 6 7 7 7 7 8 10 20 32 29 12 -2 -7 2 11 12 10 9 8 6 5 3 3 2 2 3 4 4 4 6 7 8 7 7 6 6 3 1 -1 -1 2 3 5 1 -0 7 7 6 7 6 5 5 4 3 5 5 5 6 3 -0 1 6 7 3 5 12 14 13 10 8 8 6 7 4 2 7 7 6 1 2 5 4 6 6 4 5 6 4 1 -3 3 14 16 14 11 8 4 2 2 4 6 7 7 15 25 20 5 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 3 3 3 4 4 4 5 5 5 4 5 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 4 5 6 9 12 13 14 13 13 14 19 20 15 11 14 13 12 12 13 13 12 15 15 13 12 9 5 6 8 7 6 6 7 6 5 4 4 5 5 6 9 13 14 11 8 6 6 6 6 5 4 4 4 5 6 4 3 3 4 5 6 6 5 3 3 3 2 1 2 1 1 1 0 1 1 1 2 3 3 4 4 5 5 5 5 6 7 8 7 6 5 5 6 9 12 15 14 9 6 5 5 4 4 5 8 12 14 11 7 6 6 6 3 1 1 1 -1 -1 -0 1 2 2 2 1 1 1 nan 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 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 4 5 5 6 7 7 5 3 3 3 3 3 2 3 2 2 2 2 3 3 3 4 4 4 4 3 3 3 2 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 3 3 3 3 4 4 3 3 4 3 4 4 3 4 3 4 4 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 5 5 4 5 5 4 5 6 6 7 7 7 7 8 9 13 23 27 15 1 2 -0 -1 8 10 9 8 7 6 4 3 2 2 2 4 4 4 5 6 7 7 6 6 4 2 -0 -2 -0 2 4 6 6 3 3 10 6 4 5 5 10 11 5 -1 -2 0 5 9 6 1 2 7 8 7 11 15 15 11 7 5 4 8 12 6 4 8 9 7 3 4 6 1 3 3 3 4 5 6 2 -2 2 11 17 17 11 8 5 2 0 0 4 6 5 18 28 17 5 3 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 5 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 3 3 4 5 5 4 4 4 4 5 5 7 8 8 7 7 10 13 16 15 15 14 10 9 8 8 8 8 8 8 7 7 4 3 4 6 7 8 8 8 7 5 5 4 5 6 7 8 9 9 7 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 6 6 4 3 2 1 1 1 1 0 0 1 1 1 2 2 2 3 3 3 4 5 5 5 5 6 7 8 8 6 6 6 7 8 11 14 15 12 7 5 5 4 3 4 7 11 13 12 8 6 6 6 5 4 4 3 2 0 0 1 2 2 2 1 1 1 nan 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 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 7 6 5 4 4 4 3 3 4 4 3 3 3 3 2 3 3 3 4 4 4 4 3 2 2 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 4 4 4 5 4 4 5 4 5 4 4 5 6 7 7 7 8 8 9 12 18 24 23 9 0 9 8 2 6 8 9 7 6 5 4 3 2 2 3 4 5 5 6 6 7 6 6 5 3 -1 -2 -1 3 5 7 4 2 7 10 13 8 7 1 -2 8 12 6 0 -5 -4 3 6 5 4 5 9 10 10 11 11 10 6 2 1 4 11 14 7 -0 5 7 3 2 4 7 4 3 5 8 7 3 9 9 5 5 6 15 20 11 8 5 1 -2 0 6 9 6 18 28 15 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 3 4 4 5 5 5 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 4 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 4 4 4 4 4 5 5 5 6 6 5 5 6 8 10 10 9 6 5 4 3 3 3 3 3 3 3 2 2 2 4 6 8 9 9 8 6 5 4 5 5 5 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 6 6 6 6 4 3 2 2 1 1 2 1 1 0 1 2 2 3 3 3 3 3 4 4 5 5 4 4 5 7 8 7 6 7 8 9 9 11 13 15 13 9 5 4 5 4 4 6 9 12 12 10 7 6 6 6 6 5 4 2 1 1 1 1 1 2 3 3 2 nan 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 5 4 4 4 3 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 6 6 7 6 4 4 4 4 4 4 5 5 5 4 4 3 3 2 2 3 4 5 5 5 5 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 6 7 7 8 8 8 9 13 18 22 22 16 6 5 11 10 7 4 5 8 6 5 4 3 3 3 2 3 4 5 6 7 7 6 5 4 3 -0 -3 -2 3 5 5 5 2 3 6 7 9 9 9 2 -2 4 9 11 8 0 0 5 4 3 4 7 12 13 12 12 10 5 -0 -2 1 5 10 10 2 -0 6 7 2 -4 -3 8 10 6 9 12 6 2 8 13 11 9 7 12 21 18 10 5 -1 -6 1 12 13 8 17 28 17 5 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 5 5 6 5 5 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 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 2 2 1 1 2 5 7 9 10 9 7 5 4 4 5 5 5 5 5 5 6 7 8 7 6 6 6 6 6 6 7 7 7 7 6 6 4 3 2 3 3 4 4 3 3 3 2 3 3 4 4 3 3 3 4 4 5 5 5 4 4 7 8 7 7 7 9 11 11 12 14 15 14 10 6 3 4 4 5 7 9 11 11 10 8 6 5 6 6 5 4 3 2 1 1 0 1 2 5 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 7 7 6 6 5 4 5 4 4 3 3 4 4 4 4 4 5 5 5 5 4 4 3 4 4 4 5 5 5 7 6 5 4 3 4 4 4 6 6 6 6 6 5 4 3 3 3 4 4 5 5 6 6 6 5 4 3 2 2 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 5 5 7 7 7 8 8 9 13 21 25 23 16 8 2 8 12 10 7 4 4 6 6 4 3 4 4 3 3 3 4 5 6 7 8 7 5 3 -1 -3 -2 0 3 4 4 1 0 4 4 2 5 9 6 2 1 2 4 7 5 6 8 11 3 1 4 8 13 14 13 11 9 4 -2 -1 2 5 7 4 0 6 8 6 2 -7 -4 10 12 5 8 9 2 1 3 7 10 14 14 12 21 26 13 2 -6 -7 5 14 12 8 17 28 19 5 4 5 4 4 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 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 2 3 4 4 5 5 5 4 4 4 4 4 3 4 4 4 3 3 3 4 5 5 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 1 1 2 3 3 3 3 1 1 1 3 6 9 10 9 8 6 5 4 4 5 5 5 5 5 5 6 7 6 5 6 7 6 6 6 7 6 7 6 6 6 5 4 4 4 4 4 4 5 5 4 3 4 4 5 4 3 2 2 3 4 4 5 5 5 4 7 8 8 8 8 11 13 14 14 16 16 15 12 6 3 3 5 7 8 8 10 11 11 8 6 5 5 5 4 4 4 3 1 2 1 1 2 6 8 9 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 6 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 6 6 7 7 6 6 5 5 4 3 4 4 4 6 7 7 7 6 5 3 2 3 3 3 3 2 2 2 2 2 3 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 5 4 4 4 4 5 6 7 7 7 7 9 14 25 32 26 17 10 1 1 10 14 8 3 2 5 7 5 4 4 4 4 3 3 4 4 5 6 8 9 7 5 1 -5 -4 0 2 2 2 5 5 1 -1 -1 -0 7 9 3 1 5 2 -1 -2 1 7 10 9 1 1 5 10 13 13 12 8 4 1 1 4 6 5 3 3 6 9 5 1 3 -4 -2 14 16 4 4 5 -2 3 4 2 5 10 12 14 27 32 16 0 -7 -5 8 13 6 7 18 30 21 5 4 5 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 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 3 4 4 4 4 4 3 4 5 6 5 5 5 5 3 2 3 3 3 3 3 2 1 2 3 4 3 2 2 2 1 2 3 3 3 2 1 1 2 4 7 9 9 8 7 5 4 4 4 5 5 5 5 5 6 7 4 3 6 7 6 7 7 7 6 7 6 6 5 5 4 5 4 4 4 4 5 5 4 4 4 5 5 3 3 2 2 3 3 4 5 5 5 5 6 8 9 9 10 12 15 16 17 18 17 16 12 7 4 4 6 7 7 8 9 10 10 9 8 6 6 5 5 6 6 5 3 2 1 1 2 4 7 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 7 7 6 6 5 5 5 6 6 6 6 5 5 4 4 4 5 6 6 6 7 6 5 4 4 5 5 4 4 3 4 4 4 5 5 6 6 5 4 5 5 6 7 7 7 5 5 5 5 4 4 5 6 7 8 8 6 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 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 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 5 7 7 7 7 8 13 25 38 36 20 6 3 2 12 15 12 4 -1 2 7 9 6 4 4 4 4 3 2 3 5 5 7 8 9 8 5 -2 -6 -3 3 4 3 1 3 8 9 6 3 3 6 4 2 5 9 5 2 -2 2 11 12 7 5 4 8 14 13 11 11 9 2 -2 3 10 10 5 0 1 8 8 6 5 5 1 -1 15 18 2 2 4 -1 5 5 1 3 7 8 17 32 32 15 1 -5 -1 10 10 4 5 16 32 23 5 4 5 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 4 3 3 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 4 2 2 2 2 3 3 2 1 0 1 3 4 5 4 2 1 1 1 2 3 4 3 2 1 1 3 6 7 8 7 7 6 5 4 4 4 4 4 4 5 6 9 7 3 4 6 6 6 7 7 7 6 7 6 6 5 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 8 9 10 12 15 17 19 20 21 20 18 14 9 6 5 7 8 7 8 8 9 10 10 8 7 7 6 7 9 9 8 6 3 1 1 1 3 6 8 8 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 6 5 5 5 6 5 6 7 6 6 5 5 5 5 5 6 6 6 7 8 7 5 5 5 5 5 4 2 2 3 4 4 4 5 5 5 4 4 3 4 6 7 7 7 7 7 7 6 5 5 5 6 7 8 8 6 5 3 3 3 4 4 4 3 3 2 2 1 2 3 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 12 20 32 38 30 14 -3 -6 6 11 7 -1 -3 -2 3 8 10 8 5 3 4 3 3 3 3 5 6 7 8 9 6 0 -4 -5 -0 4 5 6 5 4 5 7 9 11 9 5 2 4 8 11 11 11 5 4 7 8 5 4 6 14 17 13 9 9 9 1 -2 5 8 5 0 -1 4 12 11 8 7 6 2 -0 12 12 -0 -1 0 -2 6 4 0 5 8 7 20 36 29 11 -1 -3 5 12 10 5 5 15 29 23 6 4 5 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 4 3 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 6 6 6 4 3 3 3 4 4 3 3 2 2 2 3 5 7 7 5 3 1 1 2 3 4 4 2 1 1 3 5 6 7 7 6 6 5 5 4 4 4 4 3 4 7 11 11 5 3 5 6 7 7 7 6 6 7 6 6 6 5 5 5 6 5 5 5 4 4 5 5 3 1 3 3 3 4 4 4 4 5 5 5 4 4 7 9 10 13 16 17 20 22 24 25 23 19 14 9 7 7 7 7 7 7 8 9 9 9 9 8 8 9 10 11 10 7 4 2 2 2 3 6 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 6 7 7 8 8 7 6 5 6 6 5 3 2 2 3 3 3 4 4 5 5 4 4 3 4 6 7 8 9 9 9 8 7 6 5 5 6 7 9 8 6 5 4 4 4 4 4 4 3 3 3 2 2 3 3 4 5 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 6 7 7 8 9 12 17 22 25 26 22 13 -4 -12 -7 -18 -19 -16 -12 -4 3 8 10 9 6 4 3 3 3 3 4 5 6 7 8 5 -1 -1 -1 -1 3 4 5 8 6 8 9 3 2 4 6 4 4 7 9 13 19 19 10 4 2 0 -0 3 5 14 14 10 7 5 3 -0 5 10 6 -0 -2 -0 6 15 16 12 12 9 1 1 9 9 1 -3 -4 -2 10 8 2 4 5 6 24 37 26 7 -2 0 9 13 10 6 6 16 26 19 6 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 4 4 4 4 5 6 6 5 3 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 3 3 4 3 4 4 5 7 9 9 6 3 2 2 3 4 4 3 1 1 3 4 5 6 6 6 6 6 5 5 4 3 3 3 4 9 14 12 7 4 5 6 6 6 7 7 7 6 6 6 6 6 6 6 8 5 3 5 5 5 5 6 5 2 2 3 3 4 5 5 5 5 6 5 4 4 6 9 10 13 15 16 18 22 26 28 28 25 20 12 8 7 6 6 5 5 5 5 7 8 8 7 7 8 9 9 10 7 5 5 5 4 5 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
nan 7 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 7 8 8 6 5 5 6 6 5 4 3 2 2 2 3 4 5 5 5 5 4 3 4 6 7 8 10 10 11 11 9 7 6 5 6 7 8 7 6 5 5 3 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 4 4 4 5 5 4 5 4 5 5 5 5 5 5 5 5 6 6 7 7 6 6 8 8 9 11 13 16 17 16 13 11 11 7 -3 -14 -20 -29 -25 -15 -13 -5 4 9 11 10 8 5 4 4 4 5 5 6 6 7 5 -0 -3 2 5 2 4 2 3 6 4 9 10 2 -1 -0 1 2 6 8 8 15 24 21 11 8 8 5 1 1 3 9 12 7 5 2 -3 1 16 18 6 -0 -1 1 7 12 10 9 13 11 6 3 6 13 11 5 -0 3 8 12 5 2 6 14 27 30 17 4 -1 3 10 12 9 6 7 16 25 16 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 5 6 6 6 5 5 5 4 4 4 4 5 7 8 7 5 4 4 4 4 4 5 5 4 3 3 3 4 5 4 5 5 5 4 4 5 5 6 6 5 5 5 5 5 4 4 3 3 3 4 4 4 4 5 6 7 9 11 10 7 4 2 2 2 3 2 1 2 4 5 5 5 6 7 7 7 6 5 4 3 2 2 4 9 15 13 6 4 5 5 6 6 7 7 7 6 5 5 5 6 7 6 9 7 3 5 6 6 5 6 6 4 3 3 3 4 5 5 5 6 6 5 4 4 6 8 10 11 12 14 16 18 21 23 25 24 20 12 8 6 5 4 3 3 3 3 4 5 5 5 4 4 4 5 6 6 6 7 8 7 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 5 6 8 8 8 8 7 7 7 6 6 6 5 5 5 5 6 6 7 7 6 6 7 8 7 5 5 6 7 7 6 4 3 2 2 3 4 5 5 5 6 5 4 4 4 6 7 8 9 11 12 12 11 9 7 6 6 7 6 6 5 4 3 2 2 3 4 5 5 4 3 3 3 3 2 2 2 2 3 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 6 6 7 7 7 6 8 11 10 13 14 12 13 12 10 4 1 3 3 -2 -10 -13 -13 -10 -5 -5 -2 6 11 12 12 10 6 6 6 6 6 6 6 6 6 3 -1 -0 3 2 1 4 1 -0 0 3 9 7 2 1 1 3 6 8 5 5 13 18 14 11 10 11 9 5 3 4 7 10 5 4 3 -3 3 17 18 8 3 0 -0 7 12 5 -1 2 8 11 9 8 12 14 10 6 8 2 12 12 11 12 19 24 20 8 -0 -1 4 9 10 7 5 8 18 26 16 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 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 5 5 5 5 5 5 5 6 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 7 7 6 4 3 3 3 3 4 4 3 3 2 3 4 5 5 5 5 4 4 4 4 3 4 5 5 5 5 5 4 3 4 4 3 3 3 4 5 4 5 6 8 10 12 13 10 6 3 2 1 1 1 1 3 5 6 5 5 6 8 8 8 8 6 5 5 3 4 6 8 9 9 6 5 5 5 5 6 6 7 7 7 6 5 5 6 5 5 7 8 6 6 6 6 5 6 6 5 4 3 3 4 5 5 5 6 6 6 5 4 5 7 9 9 10 11 13 14 15 15 15 14 12 9 7 5 4 2 1 1 2 3 3 4 5 4 3 2 1 2 2 3 5 7 7 7 7 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 6 6 6 6 6 6 6 6 6 5 5 5 4 5 6 6 7 7 6 6 6 7 7 6 4 5 6 7 8 6 4 4 4 4 4 4 4 5 6 6 5 4 4 4 4 5 7 8 11 13 13 12 12 10 8 7 6 5 4 3 2 2 2 3 3 4 4 4 3 3 3 2 1 0 0 0 1 1 1 1 1 1 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 10 14 14 14 11 7 7 10 10 4 8 16 15 9 3 1 1 1 2 3 6 10 14 15 15 12 8 7 6 6 7 6 5 5 5 3 2 3 1 1 4 6 3 0 2 4 7 8 9 8 3 3 4 3 -1 3 8 8 6 8 8 7 9 7 6 5 5 4 1 3 6 4 8 13 12 6 4 1 2 6 6 0 -2 1 7 9 9 9 8 6 4 8 10 -1 6 18 20 19 18 15 7 -1 -2 0 4 9 9 7 5 9 21 24 12 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 3 3 3 4 3 3 2 3 3 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 2 3 3 3 3 3 3 4 5 5 5 5 5 4 5 4 3 3 4 5 5 4 4 4 4 3 4 3 3 3 3 4 4 5 5 5 8 10 13 15 12 8 4 2 0 -0 0 2 5 8 7 5 5 6 6 7 8 8 7 6 8 9 8 7 6 4 3 5 5 5 5 5 5 6 6 7 7 6 6 6 6 5 5 6 7 7 6 6 6 6 7 7 6 6 5 5 5 5 4 4 5 6 6 6 5 5 6 8 8 8 9 10 11 9 8 6 6 6 6 5 4 4 3 1 1 2 2 3 4 4 4 4 4 2 1 2 3 4 6 7 7 6 4 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 5 7 7 7 6 5 7 8 7 4 4 5 7 8 7 6 4 4 4 4 4 4 4 5 6 6 5 4 4 3 4 4 5 7 10 11 12 13 14 13 11 8 6 4 2 2 2 2 3 3 3 3 3 2 2 1 0 -0 -1 -1 -1 0 0 0 0 0 1 1 1 2 1 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 7 8 7 7 8 9 13 18 17 11 6 3 6 10 12 10 20 35 30 21 15 12 9 7 7 9 11 15 17 16 14 12 10 7 6 7 7 5 4 4 4 4 4 4 2 4 9 9 6 5 6 4 2 6 8 10 8 9 4 -5 -5 3 7 3 1 1 -0 6 15 13 4 2 4 2 4 7 11 11 12 15 12 5 2 1 3 5 4 -1 -0 6 6 5 10 8 2 2 6 9 12 0 -4 10 24 23 14 3 -5 -5 -1 -0 4 10 10 7 6 8 17 23 14 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 3 3 3 3 3 3 4 3 3 3 4 5 6 6 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 5 5 4 4 4 4 3 3 3 2 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 5 6 6 5 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 7 10 13 15 14 10 6 3 1 -0 -1 2 7 10 7 5 5 6 5 6 6 7 7 7 10 13 11 8 6 6 4 5 6 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 7 7 6 5 5 5 5 5 6 6 6 5 4 4 7 8 8 7 7 7 5 3 3 3 4 5 5 3 3 3 2 2 2 2 3 4 3 4 5 6 5 4 3 3 4 6 7 6 5 3 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 3 2 2 2 2 2 2 3 3 3 4 4 4 3 3 4 5 6 6 6 6 7 9 7 4 3 4 5 7 7 6 5 5 5 5 4 3 4 5 6 6 5 4 4 5 5 4 4 4 5 7 9 11 13 15 16 13 9 5 2 2 2 2 2 2 2 1 1 1 0 0 -1 -2 -1 -0 0 0 0 0 1 1 1 1 1 1 1 1 2 3 3 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 7 8 7 8 11 15 21 21 15 7 4 4 7 10 9 11 19 31 25 19 16 14 12 10 10 11 13 17 18 15 12 12 10 9 8 8 6 4 4 4 4 4 5 5 3 3 6 10 10 10 9 5 3 2 4 4 9 15 13 -4 -5 5 7 3 4 2 -1 8 18 13 4 2 3 5 12 16 13 10 10 16 15 5 0 -1 2 6 7 2 5 12 6 8 16 7 -1 7 11 9 11 6 -4 6 25 21 6 -8 -11 -0 5 3 7 11 8 7 6 6 13 24 20 7 5 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 4 4 4 4 4 4 4 3 3 4 3 3 4 3 3 3 3 3 3 4 4 4 5 6 7 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 3 3 3 2 2 2 1 1 1 2 2 3 3 4 4 4 4 4 5 6 6 5 6 6 6 5 5 3 3 4 5 5 4 4 3 3 3 2 3 3 3 3 4 4 4 4 4 6 9 12 15 15 12 7 4 1 -0 -0 2 9 10 7 6 7 7 6 6 5 6 6 6 10 14 14 10 8 9 9 7 6 6 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 6 5 5 5 5 6 6 5 4 4 5 7 8 7 6 4 3 1 1 1 2 3 3 2 -0 0 2 3 4 4 3 3 3 3 4 4 3 4 4 4 5 5 5 5 5 3 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 5 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 5 6 6 6 6 7 8 6 4 4 5 8 9 7 5 5 6 5 4 4 4 4 5 5 5 5 5 6 6 5 4 3 4 5 6 8 10 13 15 16 15 10 6 3 3 3 2 1 0 -1 -1 -1 -1 -0 0 0 1 1 1 1 1 1 2 2 1 1 2 2 1 1 1 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 6 5 6 7 8 8 8 11 18 22 22 17 9 5 4 6 8 9 5 5 7 6 6 7 9 11 11 9 8 9 11 15 15 13 11 10 10 10 10 8 5 3 5 5 4 4 5 7 7 4 2 7 12 14 11 7 4 -0 -3 0 11 18 16 0 -1 6 5 5 12 9 4 10 12 6 4 5 5 12 20 17 12 10 6 8 10 3 1 3 5 7 4 3 9 10 8 12 13 4 4 11 10 8 10 17 10 17 28 16 -7 -19 -7 16 21 16 16 12 8 6 5 6 12 23 21 9 5 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 6 6 7 5 4 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 6 7 10 13 14 13 9 5 2 -1 -0 4 9 7 6 7 8 8 8 8 7 6 6 7 9 14 16 11 7 10 11 9 9 7 5 4 3 3 3 4 4 4 5 5 4 5 6 6 6 6 6 7 7 8 8 7 8 8 8 7 7 6 6 5 5 5 5 6 6 5 4 4 5 7 7 7 5 2 -1 -1 -1 -1 -1 -1 -1 -2 -2 -0 2 3 4 3 1 1 2 2 1 0 2 2 3 4 6 5 4 4 3 1 -0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 7 7 7 8 8 7 6 6 5 4 3 3 2 2 2 3 4 5 5 5 5 6 7 8 7 6 8 11 11 10 8 7 6 5 5 4 4 4 4 5 5 5 6 6 6 5 4 4 3 4 5 5 6 8 11 15 18 16 12 7 4 4 3 1 -1 -2 -2 -2 -1 1 2 3 3 3 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 6 7 8 8 8 12 19 22 16 10 7 5 5 6 7 6 2 0 -2 -10 -3 2 5 9 10 9 7 7 8 11 11 10 9 8 9 10 9 7 4 4 6 5 5 4 5 5 9 8 7 6 9 9 6 5 2 -4 -3 1 8 16 8 -0 4 5 4 9 19 13 4 7 4 3 10 11 9 16 17 9 10 10 8 6 4 -3 3 12 10 6 1 3 2 -1 6 12 6 2 8 12 10 2 8 21 19 27 28 10 -16 -19 6 29 34 30 24 15 9 6 5 6 11 22 23 11 5 5 6 5 5 5 4 4 4 4 4 4 4 3 3 3 4 5 6 6 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 4 4 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 7 9 11 12 11 7 3 0 1 6 7 4 5 6 7 8 8 8 9 8 7 8 9 13 18 10 3 6 11 12 11 10 8 6 4 2 2 3 3 4 4 4 4 4 5 5 5 6 7 7 7 7 7 8 7 8 7 7 7 7 6 6 5 5 4 5 6 6 5 3 3 4 6 8 7 6 3 0 -2 -2 -2 -2 -1 -0 -0 -0 2 3 3 2 1 -0 -0 0 0 -0 0 2 3 4 5 5 5 4 3 2 1 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 8 9 10 10 10 9 10 10 9 7 4 2 1 2 3 3 5 5 5 4 5 7 9 9 8 9 11 11 10 10 9 7 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 11 16 19 17 12 8 5 3 1 -1 -2 -1 -1 0 2 3 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 7 8 8 9 8 9 17 20 14 10 7 5 5 6 7 5 2 1 -1 -4 2 5 8 11 15 15 13 10 9 10 10 8 7 7 8 8 7 6 5 5 6 7 5 5 6 6 7 11 13 10 8 5 4 5 3 -1 2 -1 1 6 -4 -1 11 8 3 11 22 12 4 3 1 7 16 11 7 8 3 3 10 7 7 10 4 -3 6 17 12 4 -1 -4 -6 -1 8 7 0 1 8 12 10 3 7 13 18 29 25 4 -13 -5 14 25 29 28 21 13 9 8 6 5 10 20 25 14 5 5 6 6 5 5 4 4 4 4 4 4 4 3 4 4 5 5 6 6 5 5 4 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 6 5 5 5 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 5 4 5 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 8 8 8 10 10 6 2 3 5 4 4 5 5 5 5 5 5 5 6 6 6 7 12 17 9 -1 -0 5 9 10 11 11 10 7 5 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 6 6 6 4 3 2 3 6 8 10 11 8 3 1 1 1 1 2 2 1 2 2 2 1 -0 -0 -0 0 1 1 1 2 3 4 5 5 4 4 4 3 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 7 8 8 9 10 10 11 14 15 13 9 5 2 2 2 2 3 5 6 5 4 6 9 9 7 7 8 6 6 8 10 10 7 5 5 5 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 6 8 13 18 19 16 11 7 5 4 2 1 1 1 2 3 2 3 4 6 6 6 5 3 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 7 8 9 8 7 7 14 20 18 13 9 5 4 7 7 2 2 5 3 4 9 11 13 16 20 22 20 16 15 14 12 8 6 7 7 6 5 5 5 5 5 7 6 6 10 10 7 8 7 7 7 6 8 6 4 7 10 9 11 4 -7 -1 5 3 -0 7 11 6 8 8 6 10 10 4 2 -2 -4 5 10 4 4 11 5 4 8 13 8 2 1 -2 0 5 5 -4 -7 0 9 10 4 1 4 3 13 30 26 5 -5 4 14 15 16 16 13 9 8 7 5 4 10 23 28 15 5 6 5 5 6 5 4 5 4 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 5 6 6 6 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 5 5 6 6 5 4 3 3 3 3 4 4 4 4 7 9 7 4 2 1 3 4 6 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 6 6 7 6 5 5 5 5 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 5 6 10 10 6 8 10 7 4 3 3 4 5 5 5 4 4 4 4 2 2 3 4 4 7 11 7 -1 -1 1 3 6 8 9 10 11 9 7 5 4 4 3 2 3 4 4 4 4 5 6 6 6 7 7 6 7 7 7 7 7 7 8 8 6 5 5 5 5 5 6 5 4 2 2 3 5 8 13 15 12 9 7 5 3 4 4 3 2 1 1 1 -1 -0 2 2 2 2 2 1 2 3 4 5 5 5 6 4 2 2 2 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 5 6 7 7 7 9 12 16 17 16 11 6 3 2 2 3 4 5 6 4 5 6 6 5 5 4 3 2 4 8 10 8 6 6 5 4 4 5 4 4 2 2 2 3 4 5 6 6 5 5 5 5 7 7 9 13 16 16 13 9 8 7 6 4 3 3 2 2 1 2 4 6 7 7 6 5 4 4 3 3 2 3 3 3 3 2 2 2 1 2 2 2 2 2 3 3 4 4 4 5 5 5 5 4 4 4 4 5 5 6 7 8 8 8 7 7 8 11 22 24 15 9 4 5 7 1 -2 4 6 5 8 10 12 14 16 18 23 25 23 21 17 11 6 5 6 6 6 5 4 4 4 3 5 6 8 12 14 11 3 4 7 5 3 4 3 5 10 9 7 11 13 13 9 -1 -4 -1 3 -2 2 8 9 10 11 9 11 7 -0 0 10 14 9 4 7 4 4 8 11 7 6 2 -3 7 18 9 -6 -6 2 5 -0 -2 1 1 -1 12 30 27 8 1 9 13 13 10 9 8 7 6 5 3 4 13 24 20 7 5 7 5 6 5 5 5 5 4 5 4 4 4 4 4 5 6 6 6 5 5 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 5 4 2 2 3 3 4 4 4 4 5 10 15 16 11 5 2 3 5 6 6 6 5 4 3 3 2 3 3 3 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 10 12 8 7 7 7 5 1 1 3 4 4 4 4 5 5 5 4 3 3 3 3 5 7 6 2 1 1 0 1 3 6 7 9 11 11 11 11 9 5 2 2 2 3 3 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 7 5 4 5 5 5 5 4 4 3 3 4 5 9 13 16 16 15 13 10 7 5 4 4 3 1 1 1 1 3 3 3 3 2 1 2 2 4 5 5 6 6 7 5 3 2 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 4 5 5 5 5 5 7 10 14 16 17 13 8 4 2 2 3 5 6 5 5 4 4 5 6 5 3 1 2 4 6 6 5 5 5 5 5 6 5 3 2 2 4 4 4 6 6 6 5 5 4 5 7 7 7 8 11 12 11 10 10 10 10 8 6 4 3 2 1 2 2 4 5 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 2 3 3 2 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 6 6 7 8 8 7 6 6 8 14 26 27 15 8 5 7 6 -5 -5 4 5 6 8 9 8 9 10 12 17 22 23 19 13 7 4 3 6 8 7 5 4 3 3 3 4 6 8 8 11 13 6 4 8 4 0 1 2 5 5 2 3 5 12 23 21 10 1 0 4 2 3 3 3 8 16 18 22 13 4 4 13 19 15 6 1 -1 -0 6 10 9 4 -2 -2 15 30 14 -1 -1 0 -5 -6 1 5 2 3 15 25 22 11 8 12 14 13 10 7 6 7 6 4 2 5 11 14 8 3 10 13 8 5 6 5 5 5 5 4 5 4 4 4 5 6 6 6 5 5 5 5 5 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 2 2 2 3 4 4 4 4 3 4 9 16 21 19 12 6 5 5 6 6 6 5 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 8 7 8 10 8 6 7 7 4 0 -1 2 4 4 4 5 5 5 6 6 6 6 5 5 6 6 7 6 5 3 1 1 1 3 5 7 8 11 16 18 15 9 4 2 2 2 3 3 4 4 4 5 5 5 5 5 6 7 6 7 7 7 7 8 8 7 5 4 5 5 5 5 5 4 3 4 4 5 7 11 14 16 18 18 15 10 8 8 8 7 5 4 4 4 3 2 2 2 2 2 3 4 5 5 5 7 9 7 5 4 4 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 4 4 4 3 3 3 5 7 11 14 16 14 10 6 4 3 4 5 5 4 4 4 5 6 7 5 3 1 2 2 2 3 4 4 5 6 6 6 5 5 5 6 6 6 5 5 5 5 4 4 5 6 7 6 6 7 8 9 9 9 10 11 11 10 8 7 5 4 3 2 2 2 4 5 6 7 7 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 5 6 7 8 9 8 6 5 6 10 18 27 24 13 8 6 8 4 -2 2 1 4 5 7 5 4 3 4 6 10 14 15 13 8 4 3 4 8 10 8 5 3 2 2 3 6 10 9 4 6 11 9 6 10 4 2 2 4 6 4 7 7 -2 1 12 14 10 4 1 5 5 3 2 1 1 7 20 22 12 6 8 12 16 15 8 3 1 -0 2 3 6 6 1 2 16 24 10 3 3 1 -5 -3 5 6 4 9 15 16 14 13 13 14 13 11 9 6 5 7 7 4 2 4 7 8 5 7 14 22 16 6 6 6 6 5 4 4 5 5 4 4 5 6 5 5 5 5 4 5 5 6 6 6 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 4 3 2 1 2 4 4 4 4 3 3 3 5 10 16 18 16 11 8 6 6 6 5 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 7 9 11 10 9 7 6 7 8 7 7 7 7 5 1 -1 3 6 5 5 5 5 5 5 5 6 6 5 5 6 6 7 8 8 7 4 2 2 3 5 6 6 8 14 20 20 13 6 3 2 2 1 2 3 4 4 4 4 5 4 4 5 6 7 7 6 6 6 6 7 7 6 5 5 5 5 5 5 4 4 4 5 5 6 6 8 11 15 17 17 15 13 13 12 12 12 12 11 9 6 3 2 2 2 3 4 5 5 5 4 6 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 2 2 2 2 2 3 4 3 4 3 3 3 3 4 5 8 13 15 14 13 10 8 6 5 5 5 4 4 4 5 6 6 5 4 3 2 2 3 4 5 5 5 5 5 6 6 6 7 8 6 4 3 3 3 4 4 5 5 6 6 5 5 6 6 6 6 7 9 11 11 11 11 10 8 6 4 2 2 2 3 4 5 7 7 5 4 4 5 6 5 5 4 4 3 3 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 7 8 8 9 7 5 5 8 13 21 27 21 11 7 7 8 8 15 18 5 2 3 4 2 2 1 2 4 6 8 9 8 5 3 5 8 10 11 8 4 2 3 3 3 8 12 11 7 7 10 9 7 8 7 4 1 5 7 9 17 7 -6 2 7 2 1 1 3 5 4 5 7 4 -1 -1 9 6 7 10 9 7 8 10 9 7 4 5 6 5 8 11 6 0 2 5 5 8 9 4 4 6 7 8 11 13 12 7 7 12 16 15 12 9 7 4 4 6 7 4 2 3 5 6 6 8 16 26 20 7 5 6 6 5 4 5 5 5 4 5 5 5 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 7 6 4 3 2 1 2 3 3 4 4 4 4 3 2 2 4 8 11 12 11 9 7 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 6 6 6 7 6 6 5 6 7 7 7 9 12 14 11 8 5 5 6 7 7 8 8 8 7 4 1 2 5 5 4 5 5 4 5 5 4 4 4 4 4 5 6 7 8 8 7 5 4 3 5 6 6 6 10 16 19 15 9 4 1 2 1 1 2 3 3 3 3 4 4 4 4 5 6 6 6 6 5 5 6 7 6 6 5 5 5 5 5 5 4 4 5 6 6 6 6 6 8 11 12 14 15 14 13 13 15 18 19 18 14 9 5 4 3 4 5 5 5 4 3 5 8 10 9 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 2 3 3 2 3 3 3 3 3 3 3 4 5 8 10 13 15 16 15 12 9 6 6 6 5 4 4 4 5 6 6 5 4 4 5 5 5 5 4 4 4 4 5 6 7 7 6 4 2 1 2 2 3 5 5 5 5 5 5 5 4 4 4 4 5 7 8 10 11 13 12 9 6 3 2 2 3 3 4 4 5 5 4 4 5 5 5 6 5 4 3 3 3 4 4 3 3 3 4 5 6 5 5 5 5 5 4 5 6 7 7 8 9 8 5 4 6 10 17 25 27 18 7 4 6 11 15 22 15 5 2 1 1 0 1 3 4 6 7 7 6 5 4 4 7 10 10 8 7 6 4 4 3 4 9 10 8 9 11 10 7 4 5 5 4 1 4 8 14 24 9 -1 7 3 -4 -1 3 5 6 5 8 9 6 5 2 -0 -2 6 10 6 2 2 5 9 7 4 8 12 10 7 8 8 -3 -11 -3 1 5 10 7 6 8 8 9 11 11 6 1 4 12 18 17 11 9 6 4 4 5 6 3 2 3 5 5 6 9 15 25 22 9 5 5 6 6 5 6 5 4 5 5 5 5 5 5 4 4 3 4 4 4 5 5 5 5 5 5 4 4 5 4 4 4 5 5 6 6 6 6 6 5 4 3 2 2 2 3 4 4 4 4 4 3 2 1 1 3 5 7 7 7 6 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 5 5 5 6 5 6 7 7 7 6 5 6 7 8 9 10 13 16 14 10 7 5 5 6 8 9 10 10 8 8 6 2 2 4 5 4 5 5 5 6 5 5 4 3 3 3 3 4 5 6 7 8 8 7 4 3 5 6 6 6 9 13 15 12 8 5 2 2 3 4 4 4 3 3 3 3 3 3 3 4 5 6 6 5 5 6 6 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 5 6 7 9 11 12 11 11 12 15 19 23 20 15 10 7 5 6 6 5 4 3 2 3 7 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 8 6 6 6 4 3 3 3 3 3 3 4 4 4 5 6 8 10 15 19 19 16 12 9 8 7 6 5 4 4 5 6 6 6 7 6 6 6 5 5 4 3 2 3 4 5 5 5 4 2 1 1 2 2 3 4 4 4 4 4 4 4 3 3 3 3 4 4 6 8 11 13 10 6 4 3 2 3 2 2 3 3 4 4 4 4 4 5 5 5 4 3 3 3 4 3 3 3 3 4 5 5 5 5 6 5 5 5 6 7 8 8 9 9 6 3 4 8 14 21 28 25 13 5 3 5 10 7 6 1 0 1 -1 -1 0 3 6 9 10 10 8 5 4 4 4 7 9 9 6 7 7 6 4 3 7 10 7 5 6 10 9 5 3 4 4 2 2 3 9 16 17 4 3 7 3 1 3 5 6 7 6 8 7 3 3 4 5 9 13 11 5 1 -0 2 4 6 6 9 11 7 3 5 12 2 -13 -6 3 4 7 8 6 8 9 10 8 4 -1 -2 5 13 17 16 12 9 6 5 5 5 3 1 2 5 6 5 5 8 15 26 25 11 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 5 4 3 3 3 3 3 3 3 4 3 4 4 4 2 1 -0 0 2 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 7 9 12 13 15 18 18 14 10 7 7 7 8 9 9 10 9 8 7 5 2 3 4 4 4 4 5 5 6 7 7 6 5 4 4 3 3 3 4 6 8 9 10 6 1 3 6 5 5 5 7 10 12 12 10 7 5 5 5 6 6 5 4 3 2 1 2 3 3 4 5 6 6 5 5 5 4 4 5 5 5 4 4 5 4 5 5 5 5 6 6 6 5 4 5 5 6 8 8 7 7 9 14 18 19 18 14 10 7 6 5 5 4 2 2 3 5 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 15 14 14 15 14 11 8 6 5 4 4 4 4 4 4 5 5 5 5 9 16 20 20 17 13 10 10 9 7 5 5 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 2 2 3 3 3 2 2 3 3 4 5 5 5 5 4 3 3 3 3 3 4 7 10 9 6 4 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 3 2 3 4 4 4 3 3 4 4 4 5 5 5 5 5 6 7 8 8 9 10 9 4 2 6 13 21 28 30 20 10 6 1 -1 1 -5 -8 -3 -0 -1 -2 -0 2 5 9 13 15 13 8 5 4 3 5 7 8 6 5 6 7 6 1 2 9 10 6 5 6 11 10 5 2 2 3 2 2 3 7 11 2 -2 6 6 7 7 6 5 6 6 6 6 4 1 1 4 8 17 20 14 9 4 1 -2 -0 3 5 7 8 6 3 3 13 12 1 -1 7 8 6 4 5 10 13 9 5 0 -1 4 9 10 12 13 11 9 7 5 5 5 2 1 3 5 6 5 5 8 20 31 25 11 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 4 4 4 5 6 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 5 4 3 3 4 4 4 4 4 3 3 3 3 4 4 3 2 0 -0 1 4 5 5 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 7 9 12 15 17 19 20 19 14 11 9 7 6 7 9 9 8 7 7 6 6 3 1 2 4 4 4 5 5 6 7 8 8 7 6 5 4 4 4 4 5 6 7 8 6 3 3 5 5 5 4 4 6 7 9 10 9 9 9 7 7 8 9 7 5 3 2 2 2 3 3 4 5 6 6 6 5 5 4 5 6 5 4 4 4 5 5 5 5 5 6 6 6 5 4 4 5 5 5 5 5 4 6 10 12 15 19 19 15 10 7 5 5 4 4 4 4 4 5 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 14 16 19 20 18 15 12 9 6 5 5 5 5 4 4 5 4 4 5 8 12 14 13 11 10 10 10 8 7 7 7 7 5 5 5 5 5 6 7 8 8 8 8 6 5 3 1 1 0 2 3 4 5 4 3 2 3 3 4 5 6 7 7 6 4 3 3 2 2 3 5 7 8 8 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 4 4 3 3 4 4 4 4 4 4 5 7 8 8 9 11 11 7 2 4 13 24 31 32 26 14 8 3 -5 -8 -7 -11 -10 -3 -1 -2 -1 2 4 7 10 15 19 17 10 6 4 4 5 7 7 5 3 3 4 3 -3 0 10 11 10 8 12 13 9 7 5 2 2 3 4 7 8 8 -3 2 12 6 7 6 4 4 5 5 4 3 1 1 2 6 11 20 24 18 11 7 2 -5 2 7 5 3 2 2 3 5 10 12 13 10 10 11 4 -1 2 9 8 10 7 3 9 17 14 8 9 10 10 10 8 6 5 5 3 2 4 6 6 5 6 14 29 33 19 7 4 5 6 7 7 7 6 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 5 5 4 3 3 4 5 5 5 4 4 3 3 3 2 3 4 5 4 2 0 1 3 5 5 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 8 12 16 17 18 20 21 18 13 10 8 7 5 5 7 8 7 6 6 5 6 5 1 2 3 4 4 5 5 6 8 8 9 9 9 7 6 4 5 5 6 6 6 6 6 4 3 3 5 5 4 4 4 5 5 6 8 9 10 9 10 12 14 14 9 5 3 3 3 3 3 3 4 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 4 4 5 5 5 4 5 4 4 6 7 8 13 21 23 20 15 11 9 7 5 6 5 5 5 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 10 13 17 18 19 18 14 9 6 6 6 5 4 4 4 4 4 3 4 5 6 6 6 7 7 8 8 8 8 8 8 6 5 5 6 6 6 8 10 11 12 12 10 7 5 3 2 2 2 3 4 4 4 3 2 2 2 3 4 5 7 8 7 5 3 3 3 3 4 5 6 7 8 8 7 6 6 7 7 6 5 4 4 5 5 5 5 4 3 2 2 2 2 3 4 4 4 3 3 3 3 4 4 4 4 5 7 8 8 10 12 10 4 3 12 26 34 31 23 15 9 3 -1 -8 -7 -8 -11 -8 -4 -2 -1 1 3 5 8 11 14 20 21 15 9 7 6 7 7 5 5 5 4 3 3 -0 2 9 11 8 7 12 8 8 7 6 4 2 2 6 10 8 3 5 12 16 11 8 5 1 2 3 5 3 2 3 4 6 7 10 15 19 17 12 9 3 -4 6 12 10 4 -1 -4 -1 6 6 1 5 9 9 12 7 5 6 8 6 9 6 7 18 23 14 8 9 11 10 9 9 7 6 5 4 4 5 6 6 6 9 21 34 28 11 4 4 5 6 7 7 7 6 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 5 4 4 3 3 3 5 5 5 5 4 4 4 4 3 2 2 3 5 5 3 2 2 4 5 4 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 7 7 6 7 10 14 17 17 15 15 15 13 10 7 8 9 6 5 6 7 6 6 6 6 4 2 -0 2 3 3 4 5 5 6 7 8 8 8 9 8 7 6 5 5 6 7 7 7 9 3 -0 3 3 3 5 5 5 5 5 5 7 8 10 10 9 12 18 19 13 7 4 3 3 3 3 3 4 5 6 6 6 6 6 6 5 4 4 4 4 4 5 5 5 6 5 6 6 5 5 6 5 5 5 5 4 4 5 5 4 8 16 22 22 19 16 15 13 10 8 8 8 8 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 6 9 12 16 19 16 11 7 7 7 5 3 3 4 4 4 3 3 4 3 3 3 4 4 5 6 8 8 9 8 7 6 6 6 7 8 8 9 11 12 12 9 7 6 6 6 6 5 4 4 3 2 2 2 1 0 0 0 1 3 5 5 5 4 3 3 4 4 5 6 7 8 9 8 8 8 9 9 7 6 5 5 5 5 6 7 6 4 2 2 2 2 3 4 4 3 3 3 3 3 3 4 4 3 5 7 9 9 12 13 7 2 8 22 32 33 24 10 2 2 6 7 4 4 -4 -7 -5 -3 -2 0 2 5 7 8 10 12 17 23 20 12 8 8 8 6 3 6 9 8 6 5 3 3 3 7 7 6 6 4 6 6 8 7 3 1 4 8 5 4 10 14 13 15 9 4 -0 1 4 3 2 3 5 6 7 7 7 6 9 11 9 10 4 0 8 14 16 10 3 -3 -0 9 12 4 -0 1 9 13 11 11 9 6 14 9 5 14 21 18 12 9 9 11 11 10 9 9 7 4 2 2 5 7 6 6 12 26 33 21 7 3 4 5 6 7 7 7 7 6 5 6 5 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 5 5 4 3 3 3 4 5 5 5 4 4 4 5 5 4 4 2 3 5 5 4 3 3 4 4 4 5 5 5 6 6 7 6 6 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 7 8 12 14 15 13 11 9 7 6 5 7 11 10 6 6 7 7 6 6 6 7 6 -1 -6 -1 3 3 3 4 5 6 7 10 8 5 6 7 6 5 5 5 6 7 7 8 12 5 -1 3 3 3 3 4 5 5 6 7 7 8 9 9 7 7 12 16 16 11 7 5 4 4 3 4 4 5 6 6 7 7 7 7 6 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 3 3 4 4 3 7 14 18 19 19 19 17 14 11 11 12 11 9 8 9 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 3 6 10 14 15 12 9 10 9 7 4 5 5 4 4 3 3 3 4 3 4 4 4 4 5 6 7 9 9 8 7 7 8 8 7 6 6 7 8 8 6 6 6 7 7 8 8 7 6 4 4 3 3 1 -1 -3 -4 -4 -2 -0 2 3 3 3 3 3 3 4 5 7 8 9 9 9 10 11 10 10 8 7 6 5 5 7 7 7 6 5 4 3 2 2 3 4 4 2 3 3 3 3 3 3 3 6 8 9 11 15 14 6 5 15 23 25 26 21 9 -2 1 15 20 16 10 -1 -5 -4 -2 0 1 3 5 7 8 9 10 14 21 22 16 11 11 9 5 3 8 12 11 8 5 3 2 1 6 10 8 4 7 5 3 6 6 1 1 5 7 4 4 5 5 3 8 4 -0 -2 0 4 2 0 3 6 7 7 7 6 1 5 8 6 10 1 4 11 16 14 8 5 5 6 11 15 14 9 2 7 13 12 9 6 4 12 9 11 18 17 12 9 10 10 11 11 11 10 9 6 2 0 1 5 8 7 7 14 27 29 15 5 3 4 5 6 8 8 7 7 6 6 6 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 5 5 5 5 4 4 5 6 6 6 5 3 3 4 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 10 13 13 12 9 7 6 6 3 3 9 12 9 5 5 6 7 8 7 7 7 8 3 -7 -6 1 2 2 3 4 5 7 11 12 7 5 6 5 5 4 4 4 6 7 8 8 6 3 5 4 4 3 4 4 5 5 7 8 8 8 8 6 5 7 11 14 14 12 9 5 5 4 4 4 4 5 6 7 7 7 6 6 5 5 4 4 5 5 5 5 5 5 6 6 6 7 7 7 6 5 5 4 3 3 4 4 3 3 6 13 16 17 16 16 14 12 15 17 16 12 10 10 10 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 4 3 3 3 3 5 8 11 12 12 14 14 11 8 7 7 6 5 4 4 3 3 3 3 4 4 4 4 5 6 8 9 8 7 8 9 8 6 4 3 5 5 5 5 4 5 6 6 7 8 8 8 7 6 6 4 2 -2 -4 -6 -6 -4 -3 -1 1 2 2 2 2 2 2 4 6 7 8 8 9 10 11 11 11 10 8 8 8 7 6 5 6 7 8 7 6 4 3 3 3 3 2 2 3 3 4 3 3 4 7 9 12 17 19 12 6 10 14 14 15 21 22 15 7 6 13 15 10 3 -4 -6 -3 -1 0 2 4 5 6 7 9 10 13 20 23 18 15 13 9 6 6 10 12 13 10 6 4 2 1 6 9 5 2 5 6 7 4 1 1 2 7 6 2 2 1 0 -2 -5 -3 -2 -2 1 4 2 0 3 8 8 7 9 7 3 7 7 7 9 4 10 7 10 7 2 6 10 12 13 11 9 9 5 2 11 15 6 1 9 5 5 17 17 12 8 8 9 10 10 10 10 9 7 4 1 1 3 5 7 7 8 14 25 25 11 4 4 5 6 7 8 8 7 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 5 5 5 5 5 4 3 3 3 3 4 5 5 4 4 4 5 6 7 7 7 6 4 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 7 10 13 12 9 6 3 5 11 10 8 10 11 6 4 4 6 7 10 10 8 7 8 5 -2 -4 -0 2 2 3 4 5 6 9 11 11 10 8 6 6 4 1 3 5 6 8 6 5 6 7 7 5 5 5 5 4 4 5 7 8 7 7 6 5 5 6 10 13 15 13 9 7 5 4 4 3 4 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 4 3 3 4 5 4 4 5 11 15 15 12 12 12 13 15 18 17 12 9 9 11 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 3 3 3 3 5 6 8 11 12 13 13 12 12 11 10 8 6 5 5 3 3 3 4 4 4 4 4 4 5 6 7 8 8 9 8 6 3 3 4 4 5 5 4 5 5 5 5 6 7 8 8 9 8 6 4 1 -2 -3 -3 -2 -2 -2 -1 0 1 2 2 2 3 4 5 6 7 7 7 8 8 9 9 8 8 9 9 9 6 4 3 5 8 9 8 6 4 3 3 2 2 2 3 4 4 3 4 6 10 14 19 24 22 10 1 9 11 8 12 18 18 14 16 14 8 -2 -5 -6 -6 -5 -2 -1 0 2 4 5 6 8 9 11 15 22 23 18 14 10 6 7 10 12 12 12 10 7 6 2 0 4 4 1 4 6 3 3 2 3 3 6 11 5 1 1 1 -0 -3 -7 -1 3 0 3 5 4 2 6 13 12 12 13 10 7 8 7 8 7 11 18 10 4 0 2 10 10 12 12 8 6 6 5 0 11 18 5 0 8 5 12 24 17 10 7 8 10 10 9 9 9 8 5 2 3 4 4 5 6 7 7 13 23 24 12 4 5 6 7 7 8 8 7 6 6 6 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 3 4 4 4 5 5 5 4 4 4 5 7 7 7 7 6 5 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 6 6 7 7 7 6 6 7 11 12 11 7 4 1 1 10 14 12 11 8 5 4 4 4 7 11 13 9 7 7 5 1 -1 2 2 3 3 4 5 6 7 8 9 10 10 8 8 6 3 4 5 6 6 6 5 6 7 7 7 7 6 5 5 4 5 7 8 6 6 6 6 6 5 7 9 12 15 15 11 7 5 4 3 4 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 6 6 7 6 6 7 7 6 5 3 3 5 5 5 4 5 10 14 12 8 8 11 13 12 13 11 8 7 9 13 13 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 3 3 3 3 3 3 4 6 7 8 10 12 14 14 14 12 9 8 7 6 5 4 4 4 4 4 3 3 3 4 5 7 8 8 8 7 5 4 4 5 5 5 5 5 5 5 5 6 6 7 8 9 8 7 6 4 3 3 2 2 2 1 0 1 1 2 3 3 4 3 3 4 4 5 4 4 5 5 6 6 7 9 10 10 7 3 2 3 5 7 8 7 5 4 2 1 2 2 3 4 4 3 6 12 17 19 20 20 14 1 -5 7 12 6 8 11 10 9 15 10 -2 -14 -13 -8 -4 -2 -1 -1 1 2 4 5 6 9 12 15 20 25 22 15 9 4 2 5 11 8 7 8 8 8 7 4 4 8 7 6 8 6 -0 -1 3 8 6 8 17 8 1 1 2 2 -2 -0 5 6 5 5 6 4 3 9 16 16 17 16 11 8 9 8 5 4 11 16 16 7 -1 2 9 8 6 5 4 6 8 5 3 13 14 5 5 12 14 19 23 17 10 8 9 9 9 8 8 9 7 3 2 4 5 6 5 5 6 6 12 22 25 14 5 6 7 7 7 8 7 7 6 6 6 5 4 4 4 5 5 4 4 4 5 5 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 6 7 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 7 6 6 7 11 12 10 6 5 2 -0 4 10 11 9 7 6 5 5 2 0 4 11 11 7 6 3 1 1 3 3 3 4 5 5 5 7 8 8 8 8 8 8 7 7 7 6 5 5 6 6 6 7 7 8 7 7 7 5 5 5 7 7 6 6 5 6 6 6 6 7 8 12 17 17 13 8 5 4 3 4 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 7 8 7 4 3 3 4 6 7 4 2 6 9 8 7 7 9 8 8 7 5 4 5 8 12 13 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 5 4 3 3 3 3 3 3 4 4 6 8 10 11 12 12 11 10 9 8 7 6 6 6 7 6 6 5 4 4 4 5 6 7 7 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 2 2 2 1 1 0 0 1 2 3 5 7 9 10 9 6 4 3 3 4 5 6 5 4 2 1 2 3 3 4 3 5 15 23 23 17 9 5 2 -2 -0 7 9 5 2 -1 0 6 0 -13 -21 -17 -10 -5 -2 -1 -1 0 1 3 4 6 8 13 18 20 22 22 18 12 6 3 3 4 4 1 2 3 7 7 7 8 11 13 11 8 8 4 3 5 8 11 6 8 22 12 0 0 3 3 3 6 8 7 6 7 6 3 4 9 12 13 14 14 10 6 6 5 2 4 6 9 14 7 -1 1 3 5 1 -2 1 6 10 11 12 12 8 10 12 18 27 26 17 13 10 9 9 8 8 7 8 9 7 4 3 3 5 6 4 4 5 6 14 25 26 14 6 6 7 7 7 7 7 6 6 6 5 5 5 5 4 5 5 4 4 5 5 5 5 4 5 4 5 4 4 5 5 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 6 7 7 8 8 8 7 8 8 8 7 5 5 8 11 12 9 7 6 5 3 3 7 8 8 7 7 7 5 1 -5 -3 5 9 7 4 2 1 2 4 4 4 4 5 5 6 7 8 8 8 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 8 8 7 6 6 7 7 6 5 4 5 5 5 6 7 7 9 12 15 15 12 9 5 2 3 5 5 5 5 6 6 6 4 4 4 5 6 5 4 4 4 4 5 6 6 7 7 7 7 5 3 2 3 6 8 7 5 4 4 4 4 6 7 5 4 5 5 4 5 7 8 10 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 6 5 4 3 3 3 3 3 4 3 4 5 6 7 8 8 9 9 9 9 9 9 9 9 10 10 11 10 7 5 4 4 5 6 7 7 7 7 6 6 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 8 8 9 8 7 7 6 5 4 4 3 3 2 2 1 -0 -1 -2 -3 -3 -1 -0 1 3 4 6 9 8 8 7 5 4 2 3 5 5 4 3 2 2 3 3 3 4 13 25 28 18 7 -1 -3 -1 2 4 7 13 12 4 -5 -8 -8 -22 -29 -23 -12 -5 -2 -1 -1 -1 1 3 4 5 8 13 21 23 19 14 13 14 13 10 8 9 7 3 -1 -1 3 6 6 6 8 11 13 9 9 12 9 6 6 9 8 5 12 20 14 3 3 4 4 6 7 7 6 6 8 7 4 6 12 9 7 3 10 10 3 -0 -0 2 6 6 8 12 4 -1 1 4 9 2 -6 -3 6 14 17 17 12 10 14 17 19 24 20 13 11 10 9 8 7 7 7 8 8 7 3 2 3 4 5 5 5 5 7 17 27 23 10 5 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 6 6 5 4 4 5 5 6 5 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 7 5 5 8 11 12 9 7 7 7 7 6 7 7 7 7 6 7 6 4 -0 -3 1 5 6 4 1 1 3 4 4 4 5 5 5 6 7 9 8 7 7 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 6 6 6 7 6 5 3 3 3 4 5 6 7 8 9 11 13 13 12 8 4 4 4 3 4 5 6 6 6 4 4 4 5 5 4 5 5 5 5 4 5 6 7 7 7 7 6 3 1 2 5 7 8 8 7 6 5 3 4 6 5 4 4 5 5 6 6 6 7 10 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 9 10 8 6 4 4 3 3 3 4 4 4 4 4 4 4 4 5 6 6 7 7 9 9 10 10 11 13 15 15 12 8 5 5 5 6 6 7 7 7 6 6 5 5 5 6 6 7 7 8 7 7 7 6 5 5 5 5 7 8 9 9 9 8 8 8 7 6 6 5 4 3 3 1 -0 -1 -2 -2 -2 -1 -1 -0 1 3 3 5 6 7 7 7 6 5 3 4 4 4 3 2 2 4 3 2 9 21 23 16 10 3 -1 -0 2 3 1 9 24 26 16 4 -3 -11 -20 -19 -10 -4 -2 -2 -2 -1 0 3 5 6 7 13 20 23 19 12 7 10 16 16 13 12 14 11 8 4 2 6 9 5 3 5 8 12 11 12 10 7 5 4 7 4 4 13 10 11 7 6 4 3 3 4 4 5 6 8 7 5 8 13 10 4 1 8 11 5 -0 -2 1 6 8 11 10 1 -1 3 13 18 8 -6 -6 5 13 14 14 15 15 16 17 16 13 11 10 10 10 7 6 7 7 7 8 8 6 3 2 3 4 4 5 5 4 7 16 23 18 9 5 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 6 6 5 4 3 4 5 6 5 6 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 5 5 4 4 4 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 6 6 7 7 6 7 8 8 9 9 9 9 9 9 9 6 5 5 7 10 11 10 9 8 8 8 7 7 6 6 6 6 6 6 6 5 3 2 4 4 2 1 2 3 4 4 5 5 5 5 6 7 8 9 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 7 7 7 7 6 5 5 6 6 5 3 2 2 4 5 6 7 8 9 10 11 13 15 12 7 4 3 3 4 5 5 6 6 5 5 5 4 3 4 5 5 5 5 5 5 5 5 6 8 9 7 4 1 1 3 5 7 8 9 9 7 6 5 4 4 4 4 5 5 6 6 6 6 7 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 9 11 10 8 6 5 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 7 8 9 11 14 16 15 12 8 6 6 6 6 7 6 7 6 5 4 3 3 4 6 6 7 8 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 8 8 8 7 7 6 5 4 3 2 1 2 2 3 2 2 2 2 3 3 3 4 4 6 8 8 8 6 4 4 4 4 3 3 3 3 8 21 25 14 6 5 3 2 4 6 2 -2 16 25 28 22 10 4 1 -4 -4 -1 -3 -4 -3 -2 0 3 5 6 7 11 19 23 19 13 9 7 10 15 14 12 13 14 11 11 11 7 8 8 3 1 4 10 10 9 6 2 -1 2 5 9 6 3 8 0 4 8 6 6 5 6 5 4 6 8 8 6 5 8 11 12 4 2 7 11 11 4 1 1 4 7 10 5 -3 2 9 14 16 9 -3 -4 4 9 10 12 15 15 16 15 11 8 9 10 9 8 7 6 6 7 7 8 8 5 3 2 3 4 5 5 4 4 6 11 17 19 15 8 5 6 7 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 5 6 6 5 3 3 4 5 5 6 6 5 5 6 5 5 5 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 7 5 5 7 10 12 12 13 10 8 7 7 6 6 5 5 6 6 6 6 6 5 4 3 1 0 1 3 3 3 5 5 5 5 5 6 7 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 8 7 8 8 7 7 6 5 5 6 7 5 4 3 3 4 5 5 6 7 9 10 9 11 15 16 12 8 4 3 3 4 5 4 4 6 7 6 4 3 4 5 5 5 5 5 5 4 4 4 7 8 8 6 3 1 2 4 6 8 10 11 10 8 5 5 4 3 3 4 5 6 6 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 11 11 10 8 7 6 4 3 2 2 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 9 12 14 14 11 8 6 6 6 6 6 6 6 4 3 3 3 4 5 6 7 8 7 7 6 5 5 5 6 6 5 5 5 5 6 6 6 7 8 8 8 8 8 7 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 4 6 7 9 8 7 5 4 4 4 4 4 8 17 23 17 7 2 -1 -1 4 8 6 -2 -3 17 16 17 18 3 -6 -6 -7 -7 -7 -8 -6 -3 1 5 7 8 8 9 14 22 21 16 13 13 11 9 8 6 9 12 11 7 9 11 7 8 7 4 5 8 9 4 4 3 1 0 3 8 9 6 5 6 -1 0 6 6 8 10 10 8 8 8 9 10 9 5 4 9 12 6 4 5 10 14 7 4 5 4 4 6 4 -0 6 9 6 1 -1 0 2 5 6 8 11 13 13 13 12 8 7 9 10 8 7 6 6 6 6 7 8 8 5 3 2 3 5 5 5 4 4 6 8 12 21 22 12 5 6 7 7 7 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 6 5 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 7 7 8 8 8 8 8 9 8 8 6 5 6 10 12 11 14 14 9 7 6 6 6 6 6 5 6 5 5 5 4 3 3 0 -2 0 3 3 3 4 4 5 5 5 6 7 7 9 9 8 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 6 9 8 6 5 5 6 6 5 5 5 6 9 10 9 10 12 17 18 14 8 4 3 4 5 5 4 5 6 6 5 4 5 5 4 4 4 5 5 4 3 3 4 5 6 6 4 2 3 4 5 6 9 11 12 9 7 5 4 3 3 4 5 7 7 7 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 11 12 11 10 9 7 6 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 5 7 10 12 12 10 8 7 6 5 5 5 4 4 3 4 5 5 5 6 7 7 7 6 5 4 5 6 6 6 5 4 4 4 5 5 6 6 7 7 7 8 9 8 8 7 7 7 8 8 7 7 7 7 6 6 6 5 4 4 3 3 4 7 9 9 8 6 5 4 4 8 15 16 8 2 -1 -5 -5 2 10 12 7 -2 -3 -0 3 6 8 -11 -22 -23 -19 -16 -11 -7 -2 3 6 8 9 10 11 14 18 21 17 13 15 17 14 7 2 -1 5 14 9 5 7 7 3 5 8 8 7 8 5 1 3 6 6 5 7 7 5 9 12 10 6 5 5 6 7 7 6 7 8 9 9 11 13 8 3 8 12 9 9 7 14 12 5 5 8 8 9 11 11 10 11 9 3 -7 -4 4 6 7 7 9 10 10 10 10 9 8 8 11 11 9 7 6 6 7 7 7 8 8 6 3 2 2 5 6 4 3 4 6 6 11 23 26 14 4 4 7 8 7 6 6 6 6 5 5 4 4 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 5 4 4 4 5 6 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 6 6 6 7 7 6 7 7 8 8 8 7 6 7 10 12 9 9 13 9 6 6 6 6 6 5 5 5 5 5 4 4 3 5 4 -2 0 3 3 3 3 5 6 6 6 6 6 7 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 6 6 8 11 9 7 6 7 7 6 5 5 5 5 6 9 10 10 10 14 18 18 15 10 6 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 3 3 4 5 4 3 2 4 4 6 8 10 11 11 9 6 5 4 4 4 3 4 6 7 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 11 11 12 11 11 11 10 10 8 7 7 6 5 5 5 4 4 4 3 3 4 4 4 4 3 3 3 3 4 6 8 11 12 10 9 7 5 4 4 4 4 5 5 6 6 6 5 5 6 6 6 5 4 5 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 8 8 8 7 7 7 7 6 5 4 3 3 5 8 9 10 8 6 5 6 10 10 3 -6 -8 -10 -8 5 14 17 14 10 4 -4 -13 -1 3 -5 -16 -21 -19 -15 -9 -2 3 7 9 11 10 11 15 21 20 20 18 13 9 11 13 10 5 2 -0 6 15 10 6 8 11 7 4 6 5 4 5 4 2 4 5 5 6 10 5 2 10 14 12 11 8 6 6 7 4 2 3 5 7 7 10 13 11 9 10 10 10 12 13 16 8 1 3 7 13 17 18 17 15 12 7 1 -1 5 8 9 12 11 10 9 8 8 6 6 7 9 11 11 9 7 6 7 7 7 8 9 8 7 4 2 2 3 5 4 4 5 6 8 15 26 26 12 3 3 6 7 7 6 5 5 6 5 5 5 5 5 5 6 6 6 6 5 5 5 6 5 4 4 4 5 5 5 4 4 4 4 3 3 4 6 8 8 8 7 6 6 6 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 5 5 5 5 4 4 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 6 7 8 10 9 7 7 11 15 10 6 8 8 7 6 6 5 5 5 5 5 5 5 5 6 5 6 6 4 2 2 3 4 4 5 6 6 6 6 6 6 7 8 8 8 7 6 7 7 7 7 7 7 7 8 7 7 8 8 9 9 8 6 6 10 11 9 6 6 7 7 7 7 7 5 4 5 7 9 10 11 12 15 18 18 16 13 9 6 4 3 4 6 5 5 4 5 5 6 7 7 6 6 6 5 5 4 3 3 4 4 3 2 2 3 5 7 9 10 11 10 8 6 6 6 6 4 3 5 5 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 10 10 11 11 11 11 12 12 12 11 10 10 9 8 7 6 5 4 3 3 4 4 4 5 4 4 3 3 3 4 5 8 10 11 12 9 7 5 4 4 5 5 5 5 5 5 5 5 6 6 5 4 4 4 5 6 6 7 6 6 6 6 6 7 8 8 7 6 6 6 6 7 7 8 8 7 6 6 7 8 8 8 7 7 7 7 7 8 7 6 4 5 8 10 9 8 9 9 8 3 -2 -4 -6 -7 3 14 15 13 10 9 7 0 -4 3 9 3 4 2 3 5 9 11 12 12 12 11 12 15 23 26 22 17 15 11 8 7 6 7 8 6 4 6 11 9 7 10 15 13 9 4 -2 0 4 5 7 5 0 1 6 7 2 -0 5 7 9 8 6 6 9 10 7 3 2 5 7 7 8 10 15 17 12 7 8 12 13 10 4 3 4 4 10 11 12 11 10 7 1 -1 7 8 6 11 16 14 9 7 8 6 3 3 5 7 10 10 7 6 5 7 8 7 7 9 9 8 7 5 3 2 2 3 4 5 7 10 18 23 20 13 7 4 4 7 6 6 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 6 5 4 4 5 5 5 5 4 3 3 4 2 1 3 7 10 11 9 7 6 6 6 6 5 5 5 5 5 5 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 5 5 5 6 8 10 10 6 6 12 18 15 7 5 6 7 7 6 5 5 5 5 5 6 6 7 8 6 3 4 4 4 3 3 3 4 5 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 6 8 12 11 8 5 5 6 8 8 8 8 6 5 5 7 9 10 11 12 14 16 17 19 19 16 12 9 6 5 4 4 4 3 3 4 6 8 8 7 7 7 7 6 5 5 4 4 4 3 3 3 2 3 5 7 9 9 10 9 7 6 6 7 7 6 5 5 5 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 8 9 10 11 11 11 11 11 11 11 11 11 12 11 10 9 7 5 4 4 3 3 4 4 5 5 5 4 4 4 4 5 7 10 12 11 9 6 5 5 4 4 5 5 5 6 6 6 6 5 5 4 4 4 4 6 6 6 6 6 5 5 6 7 8 10 10 8 6 5 4 5 6 6 6 6 6 7 7 7 8 7 7 7 7 7 8 9 10 8 6 5 7 9 8 10 14 13 7 4 2 2 3 3 9 10 7 4 3 7 10 8 3 6 13 16 22 22 20 19 19 17 14 12 10 10 14 19 20 17 14 12 11 11 9 9 9 10 12 11 8 6 5 4 6 9 11 11 11 7 1 1 1 4 8 5 1 1 6 2 2 5 4 5 6 5 3 5 9 13 13 9 6 8 7 7 8 9 14 16 11 6 8 11 12 7 3 6 6 6 8 -1 2 7 5 -1 -3 2 8 3 4 14 16 11 7 5 6 7 6 6 5 6 8 7 5 4 4 7 8 6 6 7 8 8 8 9 7 3 1 1 2 4 7 11 14 16 17 19 14 8 5 5 6 5 4 4 5 5 5 5 6 7 7 6 6 6 6 6 7 7 7 5 5 5 5 6 6 5 4 3 3 4 2 -1 1 8 12 12 10 8 7 7 7 6 5 5 4 5 5 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 7 10 10 5 4 10 18 17 8 5 7 7 7 8 6 6 5 6 6 6 7 9 10 7 1 1 4 4 3 3 4 4 5 5 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 7 10 12 11 7 5 6 7 8 8 8 8 7 6 6 7 9 10 12 12 13 14 15 18 20 19 18 15 11 7 5 4 3 2 2 3 6 7 7 7 7 7 7 7 6 6 6 5 4 4 4 4 3 2 3 5 6 7 7 8 6 5 5 6 7 7 6 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 7 7 8 9 9 8 8 8 8 9 9 10 11 11 11 10 9 8 8 6 5 4 4 4 4 4 4 5 4 4 4 4 5 7 10 11 9 8 7 6 5 5 5 6 6 7 7 7 6 6 5 4 3 3 5 6 7 7 6 6 5 5 5 6 9 11 12 10 7 5 4 3 3 4 6 8 8 8 8 8 7 7 7 6 6 7 8 9 10 10 8 6 6 7 8 8 5 3 5 7 7 6 4 4 5 8 5 -1 2 10 12 7 4 9 15 18 22 24 22 19 16 12 9 7 8 13 17 17 12 9 8 8 8 8 9 11 12 12 14 13 10 7 4 2 2 5 6 7 10 11 8 5 2 4 6 4 4 8 8 2 4 7 5 4 5 4 3 4 7 11 13 12 11 8 6 7 8 7 9 10 8 7 10 13 12 7 5 9 6 9 8 -1 7 10 3 -7 -6 6 11 5 6 13 12 8 4 2 6 11 13 11 8 7 7 5 3 1 3 8 9 7 6 6 6 5 6 11 13 10 4 0 0 3 6 7 9 11 17 20 18 16 13 6 4 4 3 2 4 5 5 6 7 7 7 7 6 5 5 6 8 8 7 6 5 5 6 6 5 5 4 3 4 5 3 -1 0 8 12 11 9 9 9 8 8 6 5 5 4 5 5 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 7 10 9 5 3 7 13 14 8 6 8 8 7 7 7 7 7 8 7 6 6 9 10 5 -0 0 4 4 3 3 4 4 5 5 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 7 7 8 9 9 9 9 7 8 10 12 9 6 6 7 7 7 8 8 7 7 7 7 7 9 10 12 12 13 13 14 15 17 18 18 18 16 12 9 8 6 5 4 4 4 5 6 7 8 7 6 6 6 6 6 5 5 5 5 5 5 4 3 4 4 6 6 5 5 5 4 4 5 5 6 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 7 7 6 7 7 7 6 6 7 7 7 7 8 9 9 9 10 10 9 8 8 7 6 5 4 4 4 4 4 4 5 5 5 6 7 8 9 10 9 7 7 7 8 8 8 9 9 8 6 5 4 4 3 3 4 5 6 7 7 6 5 4 4 6 9 11 12 12 10 7 4 2 2 4 6 9 10 10 8 7 7 7 7 7 8 8 9 9 9 9 7 5 6 7 7 3 -4 -2 6 9 9 7 4 2 7 11 5 -3 5 14 14 7 9 18 19 16 16 15 10 7 4 3 4 7 13 18 17 11 7 8 9 8 8 8 8 7 11 13 14 12 12 9 6 3 0 2 6 10 11 10 10 9 10 14 12 5 6 10 8 5 4 6 7 3 4 5 3 2 7 12 11 8 9 7 5 5 6 5 6 7 6 5 8 17 17 8 4 8 8 8 1 7 17 10 0 -11 -8 8 15 13 12 9 9 7 2 2 8 14 17 14 9 7 6 5 3 2 3 8 10 10 8 6 5 3 2 6 12 15 11 5 4 4 3 4 6 9 13 14 16 22 21 10 5 5 3 1 3 5 5 6 6 7 7 7 6 4 4 6 8 8 7 5 5 6 6 6 5 4 3 4 4 5 3 0 2 9 12 10 8 8 10 10 9 7 5 5 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 4 4 6 8 8 6 3 5 12 15 10 8 8 7 6 6 6 6 8 9 7 6 6 7 7 1 -1 1 4 3 3 3 4 5 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 8 11 11 8 6 7 7 7 7 8 7 6 6 6 7 7 8 10 11 12 12 14 14 14 14 15 16 16 15 15 15 14 13 10 9 8 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 6 6 4 4 4 5 4 5 5 5 4 3 4 5 5 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 9 8 8 8 8 7 7 6 7 7 6 6 6 6 7 7 8 9 10 10 10 9 8 6 5 4 4 4 5 5 5 5 5 6 5 6 7 9 9 8 10 12 12 11 11 10 8 6 5 4 4 5 4 4 4 5 6 6 6 6 5 4 5 7 8 10 11 13 13 10 6 3 3 4 6 9 10 9 7 6 5 5 6 8 9 9 9 8 7 8 7 7 7 7 6 3 4 8 11 11 9 5 3 3 7 9 2 -3 5 16 22 24 23 20 10 3 2 -1 -4 -4 -2 1 6 13 20 20 12 5 4 6 8 8 8 10 9 6 9 14 14 13 13 10 8 8 4 5 8 11 8 8 10 10 13 18 15 8 8 7 5 5 4 8 10 6 8 8 4 2 7 12 10 8 9 4 4 4 4 5 6 7 6 5 9 19 19 9 2 4 9 4 -2 14 17 6 1 -7 -5 8 15 17 16 8 7 6 2 4 10 14 15 12 8 6 6 5 4 3 4 7 9 10 9 8 6 4 1 1 5 10 14 14 10 6 3 2 3 5 7 8 13 21 20 11 11 13 6 1 1 4 5 5 6 6 7 6 5 3 4 7 8 7 6 5 5 6 6 6 5 3 3 3 3 4 4 4 7 12 11 9 7 7 10 11 9 7 5 5 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 5 5 5 6 6 6 5 5 5 4 4 4 3 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 7 7 5 4 4 11 19 14 8 7 7 6 5 5 5 7 8 6 6 6 7 4 -3 -3 2 3 3 3 4 4 4 4 5 6 7 7 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 7 6 8 11 10 6 6 7 7 8 8 7 6 5 5 5 6 7 7 8 9 10 11 13 14 14 14 14 15 15 14 14 15 16 15 13 13 12 12 11 10 9 7 6 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 4 5 5 5 4 4 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 11 11 11 10 10 10 10 10 9 9 8 7 6 6 6 5 6 6 8 9 10 10 10 9 8 7 6 5 5 6 6 5 6 6 6 6 5 5 6 8 9 12 14 13 12 11 9 6 5 4 4 5 5 5 4 3 4 5 5 5 5 4 5 6 7 8 9 9 11 13 11 9 6 6 6 7 8 9 8 6 5 4 4 5 7 8 8 8 7 7 7 8 9 10 10 10 10 12 14 13 10 6 3 2 3 7 7 2 -0 9 22 26 27 16 1 -7 -10 -11 -12 -8 -2 2 6 13 20 20 14 7 4 3 5 5 5 6 8 9 7 9 13 13 14 13 9 7 10 8 6 8 8 5 6 7 6 14 14 8 7 9 6 4 5 6 7 8 11 11 13 8 4 4 6 7 9 9 3 4 6 5 6 5 6 6 7 10 16 18 11 5 6 12 8 7 17 7 2 9 1 -2 7 12 14 12 8 5 4 4 7 11 12 12 10 8 6 6 6 6 5 5 7 8 9 10 8 7 6 4 3 2 3 8 14 14 8 4 2 2 3 3 5 9 15 17 14 16 18 9 2 2 4 5 5 5 6 6 5 4 3 4 6 7 5 4 5 6 6 6 5 3 2 2 3 4 4 5 8 13 14 11 8 7 8 9 10 9 7 6 5 4 4 5 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 5 6 6 5 4 4 8 17 17 10 7 7 6 6 6 5 4 5 5 6 6 7 6 -2 -5 1 3 3 4 4 4 4 4 5 5 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 7 6 8 10 7 5 5 6 7 7 7 7 6 5 4 4 5 5 6 7 7 8 9 10 11 12 14 15 15 15 14 14 14 15 14 13 13 13 14 15 15 14 13 12 10 9 7 6 6 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 10 10 11 11 11 12 13 13 12 10 9 7 7 6 6 5 5 6 7 8 10 10 10 9 8 7 6 6 6 6 6 5 5 5 6 5 4 5 6 7 9 10 10 9 9 8 6 5 5 5 6 7 7 5 4 3 4 5 5 5 5 6 7 8 8 8 8 9 11 11 10 9 8 7 7 8 8 8 7 5 5 5 5 5 6 7 7 8 8 8 9 11 12 14 15 16 17 16 11 6 3 2 3 6 11 10 5 0 12 28 25 7 -7 -20 -19 -15 -14 -7 3 7 8 12 18 21 14 8 6 5 6 6 3 3 3 6 6 4 7 10 9 9 12 9 6 10 9 4 7 7 5 4 3 4 14 10 5 7 8 4 5 9 9 5 5 11 12 16 11 6 3 1 3 7 8 7 6 7 7 7 6 5 6 6 7 13 18 13 7 10 17 16 14 14 6 9 13 1 -3 5 8 8 8 5 3 4 8 10 11 11 10 9 7 5 5 6 8 8 8 8 8 7 7 7 7 7 7 5 4 3 4 8 10 8 6 5 4 3 3 3 6 10 16 21 17 11 6 4 7 8 8 7 6 6 6 5 4 4 5 6 5 3 3 4 6 7 5 4 2 1 2 3 4 6 8 13 15 14 11 8 8 8 9 8 7 6 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 6 5 4 7 15 16 10 8 8 6 5 6 6 5 4 5 6 6 6 6 3 -1 1 3 3 4 4 4 4 4 5 6 7 8 9 10 10 9 9 9 9 9 8 7 7 8 8 7 7 7 8 8 9 9 8 6 6 9 8 5 4 4 5 6 7 6 6 5 5 4 4 4 5 6 6 6 6 7 8 8 9 11 12 13 14 15 16 15 15 14 14 13 12 12 14 15 14 15 16 16 16 14 12 10 8 6 5 4 4 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 13 19 13 10 6 7 9 12 11 7 4 9 14 18 21 18 11 6 8 11 18 20 18 17 16 11 1 1 5 11 15 16 13 8 8 11 11 11 11 11 12 14 17 16 16 18 18 19 19 21 21 20 17 18 20 15 10 10 11 14 15 15 13 12 14 14 11 9 8 8 8 8 7 9 12 17 18 17 12 7 6 8 11 12 12 10 10 11 11 9 9 7 6 6 8 9 11 11 12 13 14 14 14 14 12 11 11 10 10 11 10 10 10 11 12 12 12 12 13 14 14 14 14 13 11 11 11 11 12 12 13 15 16 17 15 12 11 10 11 10 11 14 16 14 12 14 14 13 15 15 15 15 13 14 15 14 14 14 14 14 14 13 13 14 15 14 14 13 12 11 12 13 12 11 12 12 12 11 11 11 12 13 13 12 11 10 10 11 12 14 15 15 15 15 15 15 15 14 13 13 13 15 15 14 13 12 12 14 19 21 19 19 21 21 20 20 20 18 18 17 15 15 15 16 17 17 15 15 15 15 16 17 17 17 16 15 16 16 16 16 14 13 15 16 15 15 16 17 17 19 19 19 18 15 14 14 14 14 14 15 14 14 14 14 14 14 14 14 13 14 14 13 13 12 11 11 11 11 11 10 11 11 11 11 13 13 13 14 13 14 13 13 13 13 12 11 11 11 10 9 9 9 10 11 13 17 20 19 15 10 7 5 5 5 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 11 14 14 13 13 13 13 12 11 11 11 10 10 8 6 6 6 7 8 9 9 10 10 11 12 12 12 12 12 12 12 12 11 11 11 12 13 15 15 13 12 13 14 16 16 15 13 10 9 9 10 11 13 13 12 12 12 12 13 13 13 13 13 15 19 19 15 14 14 13 12 11 12 12 12 13 13 13 15 17 20 22 22 19 16 14 12 11 12 12 11 11 11 11 11 10 10 11 13 13 14 13 13 13 13 13 12 12 11 10 11 12 13 14 14 14 14 14 15 18 21 21 18 12 9 12 14 15 13 11 11 12 13 13 12 14 15 14 14 14 14 14 15 16 15 16 16 15 15 13 11 10 10 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 7 8 14 17 19 18 16 12 10 5 8 17 16 13 14 16 14 9 7 8 11 15 17 15 12 9 6 7 9 10 11 12 13 15 15 18 21 20 18 17 16 15 15 15 15 13 8 5 6 9 14 17 16 16 18 20 16 10 7 6 6 8 8 7 7 8 11 13 15 14 11 9 9 11 13 13 12 12 13 13 13 13 11 10 8 8 9 9 9 12 13 13 14 16 16 14 11 10 9 8 8 8 9 11 12 12 12 12 13 13 13 14 14 13 13 11 10 11 12 13 13 13 13 15 18 17 13 12 12 12 13 12 12 13 12 13 13 13 13 14 14 14 14 15 15 15 13 13 13 14 14 13 13 13 14 14 14 13 13 13 12 12 13 13 12 13 13 12 11 10 11 12 13 13 13 12 10 8 7 9 17 21 18 16 15 15 15 15 14 13 12 14 15 16 15 14 13 13 14 15 16 16 17 19 21 20 20 19 18 18 16 15 15 15 16 18 18 16 15 14 14 15 16 17 16 15 15 15 15 16 17 17 15 14 15 16 16 16 15 15 17 19 20 19 16 15 14 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 13 12 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 12 12 11 11 11 10 9 9 9 10 13 16 19 21 19 15 9 5 4 4 5 6 7 8 8 8 9 8 8 7 5 5 6 6 6 7 7 7 7 8 11 13 13 12 12 12 11 11 11 11 11 10 8 6 5 6 7 8 9 10 10 10 11 12 13 13 12 12 12 12 12 11 11 11 12 14 14 13 12 13 15 15 12 10 7 4 3 6 10 11 12 12 12 11 12 12 12 12 12 12 12 13 16 19 21 19 16 14 13 13 12 13 12 12 13 13 14 15 16 17 18 16 15 14 13 14 13 13 13 12 12 13 12 11 11 11 13 14 14 14 12 11 11 12 13 13 13 12 11 12 14 14 14 15 14 13 14 16 19 23 23 17 9 8 12 13 12 10 11 13 13 13 12 12 14 15 15 15 15 15 15 15 15 15 15 16 16 16 14 12 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 7 4 5 13 17 17 11 11 14 21 19 10 9 9 13 15 13 11 9 8 9 10 12 14 14 13 13 13 17 20 16 13 11 10 12 14 16 13 10 6 4 5 9 13 15 15 13 15 18 16 12 9 7 8 8 8 8 8 8 9 10 13 15 13 11 10 14 15 15 13 14 16 16 16 16 15 13 12 11 10 9 10 13 14 13 14 15 15 14 12 11 10 10 9 8 8 10 11 11 11 12 13 13 13 13 12 11 11 11 11 13 13 13 13 13 13 15 17 17 14 14 15 14 12 12 12 12 14 14 14 13 14 15 15 15 15 15 14 14 14 13 13 13 13 12 13 13 14 14 14 14 14 13 13 13 14 13 13 13 13 12 11 11 12 12 13 13 13 12 10 8 4 3 11 21 24 23 20 16 14 14 14 12 11 12 14 15 15 14 15 15 14 14 13 13 14 17 18 18 18 18 17 17 16 16 16 15 15 17 17 17 15 14 14 14 15 17 17 16 15 14 14 14 16 18 17 15 15 16 15 15 13 11 10 12 14 17 18 18 16 16 15 15 15 15 14 14 14 15 15 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 12 11 12 11 11 12 11 11 10 9 9 9 10 13 17 19 20 18 12 7 5 5 5 7 9 9 9 8 7 6 6 6 6 5 5 4 5 6 6 8 9 8 7 8 9 11 12 12 11 11 11 11 11 11 11 9 7 6 5 6 7 8 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 11 7 4 1 3 6 9 11 12 12 12 11 12 13 13 13 12 11 11 12 14 17 22 22 17 13 12 13 13 14 14 13 13 13 13 13 13 13 14 14 14 14 14 14 15 14 14 14 13 12 13 12 12 12 13 13 14 14 13 11 10 10 12 14 15 14 12 11 12 13 14 15 15 15 15 16 16 19 21 19 12 7 9 11 12 12 11 12 12 12 12 13 13 14 15 15 15 15 15 15 15 15 15 15 15 16 16 14 13 11 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 16 9 8 16 16 12 7 9 10 11 10 9 9 11 12 11 13 15 15 13 11 12 15 13 8 7 8 8 11 15 16 14 12 8 5 4 7 10 10 8 6 8 11 13 12 10 8 8 7 8 11 12 12 12 11 12 13 11 10 10 13 16 16 16 16 15 12 14 15 15 14 13 12 11 11 12 14 13 12 12 12 13 14 14 13 12 12 11 10 9 8 8 8 11 13 14 14 13 13 12 11 10 11 13 15 14 13 13 13 13 13 14 15 14 14 14 14 13 13 12 13 16 15 13 14 15 16 16 16 15 14 13 13 14 14 14 13 13 12 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 11 11 12 12 12 12 12 12 12 11 7 3 3 9 17 24 28 25 19 14 13 13 12 11 11 13 14 14 15 16 14 13 13 13 14 15 15 15 16 18 19 19 17 17 18 16 15 16 17 16 16 15 14 13 14 15 16 17 17 15 14 13 16 18 17 15 15 14 14 14 15 12 9 10 11 13 15 16 16 16 16 15 15 15 16 15 15 15 14 15 15 15 15 15 14 13 13 13 13 13 13 13 12 13 13 12 12 13 13 12 12 12 12 11 11 12 11 12 11 11 10 10 12 14 17 18 16 12 7 5 5 6 7 9 9 9 9 9 7 6 5 4 5 6 7 6 6 8 9 9 9 10 10 10 10 10 11 12 12 11 10 10 11 12 12 11 10 8 7 6 6 7 8 9 10 10 10 10 11 12 12 13 13 13 14 14 13 12 12 13 14 15 17 17 16 14 10 8 7 8 11 12 12 12 12 12 12 11 12 13 13 13 13 12 12 12 14 17 21 18 14 11 11 13 13 13 13 13 13 13 12 12 13 14 14 14 14 13 13 14 14 14 14 13 11 11 11 11 12 13 13 13 14 14 12 10 10 13 15 15 14 12 11 10 11 12 13 14 15 16 17 18 16 16 19 17 10 9 9 10 9 11 13 12 11 10 11 12 14 15 15 15 14 14 14 15 15 15 16 15 15 15 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 nan nan nan nan nan nan nan nan nan nan nan nan nan 7 12 14 14 13 13 13 12 10 9 9 10 12 13 13 13 13 13 12 12 14 15 17 18 16 10 4 3 4 6 6 4 3 5 5 6 7 8 9 8 6 8 11 12 12 12 12 12 11 8 7 10 14 15 15 15 16 13 10 13 14 13 12 12 12 11 11 11 10 10 10 10 10 12 13 13 12 11 12 13 11 9 8 7 8 11 14 14 13 13 12 11 11 11 10 12 14 15 14 14 13 12 11 12 14 13 12 13 14 15 14 11 12 16 15 14 15 16 16 16 17 16 14 13 13 14 15 15 14 14 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 11 7 3 0 5 13 31 35 22 16 14 12 12 11 12 12 13 14 15 16 15 14 13 13 13 16 15 13 12 15 20 24 22 18 20 19 18 18 17 15 14 15 14 14 14 13 14 15 16 16 14 14 15 16 16 16 15 15 14 15 15 15 13 10 9 9 11 13 15 15 16 16 15 15 16 15 15 15 14 14 15 14 14 15 14 13 13 13 13 14 13 13 13 12 12 12 12 12 12 12 13 12 12 12 11 12 12 12 12 13 14 15 17 18 17 13 10 7 6 7 8 10 11 11 10 9 9 9 8 8 7 6 7 8 8 8 9 10 11 12 11 11 11 11 11 12 12 12 11 10 11 11 12 12 12 12 11 10 9 8 7 6 7 9 10 11 11 11 11 13 13 13 13 14 15 14 13 13 12 14 16 18 17 15 13 12 11 9 10 13 13 13 12 12 11 12 12 12 12 13 14 13 13 13 12 12 14 18 19 17 14 12 13 13 13 13 13 13 13 13 12 12 13 14 14 14 13 12 12 12 12 13 13 12 11 12 11 12 12 14 15 15 16 14 11 10 11 15 17 16 13 10 10 11 11 12 14 14 14 16 18 19 18 17 17 17 14 12 10 10 10 12 14 13 10 8 9 11 12 13 15 15 15 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 10 13 13 14 17 19 19 18 16 16 17 16 15 15 15 12 8 5 6 8 9 9 7 5 3 4 6 9 12 12 11 10 9 9 10 11 14 11 9 11 13 13 14 14 14 13 11 11 12 13 12 12 12 12 13 12 13 12 11 11 11 12 12 11 11 11 12 13 12 10 10 9 8 9 11 13 13 13 13 12 11 11 12 12 13 14 14 15 12 10 10 12 13 14 13 13 14 15 15 13 10 11 14 15 15 16 17 16 15 16 16 15 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 13 13 12 12 12 13 13 13 13 13 13 13 12 12 12 12 11 8 1 -4 0 24 38 29 21 16 12 12 11 12 13 13 14 15 16 15 15 14 14 14 15 15 11 6 6 16 26 26 20 22 21 18 18 18 16 14 13 14 15 14 14 13 13 15 15 14 14 14 14 15 15 14 14 14 14 14 13 12 11 10 10 10 11 13 15 15 15 16 15 15 15 15 16 16 15 15 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 14 14 15 16 16 17 19 20 20 20 18 16 12 10 9 8 8 9 10 10 11 10 10 10 9 10 10 11 11 9 9 9 9 10 11 12 12 12 12 11 11 12 11 12 12 12 11 11 11 12 12 11 10 10 10 10 9 8 8 7 7 9 10 11 13 13 13 13 14 14 14 14 14 13 12 11 11 14 16 16 12 9 9 11 10 10 11 12 13 13 11 12 12 12 12 12 12 12 13 14 14 13 12 12 16 20 21 20 16 13 13 13 13 13 12 12 12 12 13 13 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 13 14 15 15 14 13 12 11 11 13 15 15 13 10 10 11 11 12 13 15 16 16 16 16 16 16 16 17 17 15 12 10 10 11 14 14 13 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 12 11 10 10 9 8 8 8 9 10 10 10 12 12 14 15 16 22 29 34 33 30 27 25 23 21 20 20 19 18 17 18 19 19 19 19 19 18 17 18 20 19 16 14 14 14 14 14 14 14 14 14 13 11 10 9 11 13 14 13 12 12 12 11 11 12 14 11 8 6 6 6 7 7 7 6 6 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 16 20 22 27 33 31 18 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 1 6 4 2 1 4 5 4 3 5 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 5 13 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 10 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 1 6 24 50 71 81 82 84 86 85 81 69 51 50 78 100 94 82 101 129 136 136 132 126 116 97 74 59 55 44 29 26 39 65 90 110 123 127 131 155 172 168 163 160 151 136 130 135 134 120 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 14 13 13 12 11 10 10 10 10 10 10 12 14 15 15 15 14 15 19 24 26 24 21 17 14 12 12 14 14 14 14 16 18 20 19 18 18 18 18 17 16 18 17 14 12 12 12 12 12 12 13 13 13 12 9 7 8 11 13 13 13 12 11 11 11 13 13 11 7 6 6 6 7 6 6 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 7 11 13 16 21 22 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 4 4 4 3 4 6 6 5 6 6 2 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 1 6 12 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 7 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 6 32 54 74 85 87 89 90 88 81 68 65 80 100 112 116 124 129 132 134 132 130 127 117 101 91 84 70 67 77 93 114 135 135 135 141 149 165 176 179 183 184 173 160 154 151 141 123 108 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 nan nan nan nan nan nan 15 14 13 13 12 12 11 11 11 11 11 11 11 13 15 15 16 14 13 14 17 22 22 20 16 12 11 10 10 9 10 11 13 16 19 19 18 16 17 17 16 16 16 17 15 12 11 11 11 10 10 11 13 13 13 10 8 6 8 10 12 14 13 11 11 12 13 12 9 6 6 6 6 6 6 6 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 16 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 3 5 5 6 7 8 8 8 6 2 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 1 1 1 0 0 1 5 9 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 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 1 19 45 71 86 89 90 92 92 90 81 73 75 86 100 111 116 118 120 122 124 124 127 128 118 99 92 94 102 112 128 148 154 148 147 154 165 175 183 186 188 190 187 178 171 164 151 128 108 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 14 12 12 11 11 11 11 11 11 12 12 13 13 14 14 13 13 12 13 14 15 15 15 16 14 13 12 10 8 7 7 9 12 14 14 14 14 14 15 15 15 15 16 17 16 14 12 11 10 8 7 8 10 11 10 8 7 6 8 10 12 13 13 12 11 10 8 6 6 6 6 6 6 6 6 6 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 1 0 0 0 0 0 0 0 0 0 0 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 7 8 10 10 9 6 2 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 0 1 4 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 11 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 1 10 35 70 93 94 85 84 91 95 96 92 82 76 80 87 97 109 115 118 116 116 116 120 125 119 109 110 116 122 128 140 149 151 151 154 163 173 181 186 182 180 187 191 185 176 168 153 132 114 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 12 13 11 11 10 10 10 10 10 10 10 10 11 12 14 14 15 15 14 14 13 11 12 12 13 13 13 13 12 10 8 7 8 10 11 11 10 10 11 12 13 14 14 14 15 18 18 15 13 10 8 7 6 7 8 8 9 8 7 7 7 8 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 3 6 8 9 10 10 9 4 1 0 0 0 0 0 0 0 0 2 4 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 4 2 2 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 10 9 6 3 1 0 1 2 1 0 0 0 0 1 1 0 0 0 0 0 0 1 3 1 0 0 3 21 56 88 104 99 79 75 86 96 99 99 96 84 77 81 90 103 111 114 115 114 114 116 119 120 120 123 124 124 126 132 137 140 144 150 157 167 176 178 173 176 189 192 183 175 167 156 140 125 124 nan nan nan nan nan nan nan nan nan nan 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 11 11 10 10 10 9 9 9 9 8 8 9 10 11 13 15 17 17 16 15 14 14 14 14 14 14 13 13 13 12 12 11 10 10 10 9 9 9 9 10 11 12 11 12 15 17 17 14 12 10 8 6 6 7 7 7 9 9 8 7 6 6 7 7 6 6 6 7 6 6 6 6 6 6 6 5 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 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 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 8 6 3 1 1 1 0 0 0 0 0 0 2 4 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 3 3 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 11 10 8 5 4 6 7 6 5 5 4 6 7 4 1 0 0 1 0 1 6 15 13 8 5 15 33 59 83 101 102 84 70 75 91 102 106 103 94 84 83 88 99 108 111 112 113 113 115 117 118 120 122 121 121 122 124 128 128 132 142 150 159 169 174 177 187 194 189 177 172 167 160 151 140 138 nan nan nan nan nan nan nan nan nan 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 8 9 10 9 9 9 9 9 9 8 8 7 7 7 8 10 11 14 16 18 18 17 16 16 16 15 14 14 13 13 14 13 13 12 12 11 10 10 9 9 9 9 9 9 10 11 13 14 14 12 12 10 7 6 6 6 7 8 9 9 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 2 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 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 2 6 8 8 4 1 0 1 1 1 0 0 0 0 1 3 5 7 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 5 8 5 1 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 11 11 9 10 12 12 11 10 10 11 12 13 10 3 2 8 14 20 14 23 30 30 30 24 32 40 53 76 86 96 93 75 70 83 104 117 115 103 88 84 87 97 106 109 110 108 108 112 117 120 122 123 124 124 122 122 120 119 125 138 149 156 169 181 194 205 201 188 174 168 163 160 158 153 149 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 5 6 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 8 9 12 15 17 18 17 17 17 16 15 14 14 14 14 13 13 13 13 12 12 11 10 10 10 10 9 8 8 8 9 11 11 12 12 11 9 7 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 2 0 0 0 0 0 0 0 0 2 5 8 8 8 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 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 1 2 5 7 9 9 9 13 16 15 12 8 8 9 12 16 16 9 6 17 36 50 46 49 41 38 40 43 46 46 49 64 74 87 95 85 74 77 96 116 124 114 97 88 90 100 106 107 105 102 102 107 116 122 123 125 128 129 125 122 116 117 128 147 155 161 176 194 207 211 204 189 174 165 162 163 166 164 154 148 nan nan nan nan nan nan nan nan 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 5 6 6 6 6 6 7 7 7 6 4 4 4 5 6 6 8 10 13 15 16 17 18 18 17 16 15 15 14 14 14 14 13 13 12 12 12 11 11 11 10 8 7 7 7 8 9 10 11 11 10 8 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 1 5 9 11 8 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 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 1 3 6 11 10 10 12 14 14 7 3 2 1 7 18 26 29 29 34 50 61 58 54 51 51 53 55 56 54 55 62 72 84 92 93 88 81 83 100 119 122 108 95 98 106 109 108 103 97 96 102 114 122 124 124 126 127 126 124 121 124 135 151 162 173 192 209 215 213 206 193 178 168 168 173 179 172 155 139 nan nan nan nan nan nan nan nan 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 4 5 5 4 4 4 5 6 4 2 2 2 3 3 4 5 7 9 11 14 16 18 18 18 16 15 14 14 15 16 16 15 14 14 13 13 12 12 11 10 8 6 5 5 6 6 7 8 9 9 8 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 12 12 7 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 1 0 0 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 14 14 10 4 10 14 6 2 2 3 10 23 41 61 70 74 76 77 73 70 69 70 71 72 71 68 70 74 78 84 91 99 106 97 87 90 105 116 112 102 104 111 112 109 104 98 95 99 110 119 123 125 124 124 126 127 127 131 136 148 161 178 201 216 218 214 209 198 187 180 179 184 187 177 157 128 nan nan nan nan nan nan nan 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 1 2 3 2 1 1 2 2 2 0 0 0 1 1 2 3 4 6 8 11 14 17 17 17 16 15 14 14 14 16 17 17 16 14 14 13 13 12 11 9 8 6 4 3 3 3 4 4 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 10 14 12 7 1 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 3 14 18 16 8 13 22 20 13 10 14 22 37 58 82 94 100 102 93 83 81 82 85 86 87 88 88 91 96 96 96 98 102 112 116 110 107 112 117 114 106 108 113 113 110 108 104 100 100 108 116 122 124 122 122 124 127 132 135 137 144 158 176 199 212 215 209 200 192 193 191 188 191 190 181 164 135 nan nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 2 2 3 5 8 11 14 16 16 15 14 13 13 13 14 14 14 13 12 11 12 12 12 10 9 8 7 5 3 2 1 1 1 1 2 2 3 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 7 5 8 14 16 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 22 27 26 29 38 39 27 20 25 37 54 73 88 96 97 94 86 86 89 93 97 98 99 99 101 106 112 116 118 118 110 114 122 130 126 130 133 128 118 113 114 115 112 110 110 108 106 108 112 116 118 118 121 125 130 135 138 138 142 156 173 190 202 206 201 190 179 186 189 190 192 190 183 172 150 nan nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 10 12 14 14 14 13 12 12 12 12 11 10 9 9 9 10 11 10 10 9 8 6 4 2 1 0 0 0 0 0 0 1 1 1 2 2 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 14 12 11 13 15 14 12 10 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 7 23 38 44 48 52 49 36 27 32 46 67 85 93 94 93 89 84 88 97 103 106 105 104 103 102 107 118 128 133 135 129 128 128 135 132 129 135 137 134 127 122 119 116 114 114 114 114 114 112 109 108 109 116 127 136 139 138 132 137 153 167 178 187 191 189 181 174 174 177 179 182 184 184 177 161 148 nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 12 13 13 13 13 12 11 10 9 8 8 8 9 9 10 10 9 9 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 13 12 12 11 9 7 7 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 5 21 43 60 65 61 54 43 36 39 54 78 97 101 96 94 94 95 98 104 109 110 108 106 102 100 104 117 133 144 147 147 143 140 140 137 130 128 134 139 139 134 126 121 118 116 118 120 120 118 108 102 100 109 124 136 138 134 128 134 147 156 162 168 174 176 173 168 166 166 166 167 172 177 177 165 150 nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 5 7 9 11 13 14 14 13 12 10 9 9 8 8 8 8 9 9 9 9 8 8 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 4 4 4 4 3 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 7 6 5 4 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 2 14 42 70 78 66 56 51 45 49 66 94 116 109 99 101 102 100 103 107 110 109 107 104 101 99 100 111 132 150 154 151 150 150 148 146 140 133 130 135 140 139 133 129 124 120 120 122 122 120 113 105 101 106 117 130 133 129 127 134 145 150 150 152 157 161 162 161 160 160 158 156 158 165 170 163 147 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 nan nan 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 11 14 15 15 13 11 9 8 8 8 7 7 8 8 8 8 8 7 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 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 7 34 71 82 69 61 60 58 59 74 111 134 116 102 103 102 100 105 108 110 110 107 103 102 99 98 105 124 145 152 147 149 152 150 149 145 140 134 134 140 139 135 134 129 121 116 114 116 119 116 111 106 105 111 121 125 124 126 135 146 148 143 140 141 145 148 150 153 155 155 150 147 150 155 151 140 nan nan nan nan nan 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 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 7 10 13 14 14 13 11 9 8 7 8 7 7 7 7 7 7 6 6 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 25 64 80 72 63 63 63 64 82 117 136 119 103 100 97 97 102 108 112 112 108 102 99 97 96 100 113 135 150 152 152 153 150 146 143 140 135 135 140 137 133 135 129 116 106 102 106 114 117 115 112 108 109 112 115 117 122 133 145 146 134 124 121 123 131 134 139 144 146 143 138 136 137 135 126 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 8 8 8 6 4 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 11 12 11 9 8 8 9 9 9 8 7 6 6 6 6 6 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 2 2 1 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 57 80 72 59 61 64 70 86 115 132 115 96 90 88 90 97 105 110 111 106 101 96 93 91 92 100 120 144 157 156 157 154 148 142 139 139 136 138 132 128 129 125 113 103 100 103 110 116 118 117 113 109 108 109 111 116 130 148 143 122 106 100 100 104 111 120 128 132 128 122 117 117 115 107 98 nan nan nan 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 3 2 2 3 5 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 7 8 7 7 8 10 11 10 9 8 7 6 6 6 5 5 5 5 5 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 2 2 3 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 1 1 0 0 12 48 74 70 53 52 60 68 86 112 123 105 84 77 74 78 87 95 99 100 98 96 92 88 85 83 87 102 123 144 153 156 155 151 144 140 137 135 134 131 126 125 123 118 111 108 107 109 116 123 126 122 115 110 106 104 109 126 141 134 110 91 83 82 83 88 98 110 115 109 99 92 90 88 81 70 nan nan nan 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 2 2 2 3 2 2 3 5 8 9 10 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 6 6 7 9 11 12 11 9 7 7 6 6 5 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 0 0 0 4 4 2 5 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 3 3 0 0 2 3 1 0 9 35 63 65 49 44 55 68 82 99 105 90 73 66 63 66 74 81 84 85 84 83 81 79 77 76 76 84 98 118 135 147 152 150 144 138 139 139 137 135 130 126 128 128 124 119 113 111 119 129 137 137 130 119 108 100 104 122 136 127 103 81 70 68 69 71 80 92 98 91 76 65 62 60 52 42 nan nan nan 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 1 0 0 1 1 2 2 4 6 7 9 9 9 8 6 3 1 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 7 10 12 12 10 8 6 5 4 4 4 4 4 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 0 3 9 8 5 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 0 0 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 8 8 7 8 7 5 1 0 0 4 5 2 3 26 54 63 50 41 52 68 79 89 92 78 68 60 56 56 61 68 71 72 71 69 66 64 64 64 65 68 76 90 108 127 138 144 144 138 140 143 141 141 139 136 136 136 132 127 117 114 120 131 141 148 143 132 114 100 100 117 133 128 104 78 63 58 58 61 68 79 85 76 58 46 42 40 33 26 nan nan nan 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 3 2 1 1 0 0 0 1 2 3 4 6 8 9 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 4 5 6 6 8 11 12 10 8 5 4 4 4 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 6 12 12 10 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 15 15 16 18 15 8 2 0 0 3 7 6 6 23 50 64 58 47 49 59 72 83 87 75 69 61 58 55 54 56 58 59 59 58 55 52 49 49 50 52 57 66 78 95 114 129 140 144 145 147 145 143 141 142 140 138 136 132 123 118 120 130 140 148 146 136 121 106 101 110 127 128 109 80 58 50 50 54 62 71 75 66 51 40 34 32 28 23 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 7 5 4 3 2 0 0 0 0 0 0 1 2 5 7 8 7 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 2 4 4 3 4 4 4 3 3 4 5 5 6 8 9 9 8 6 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 11 14 12 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 2 6 8 14 19 20 21 25 26 17 5 0 0 4 12 17 16 27 48 65 68 56 46 44 55 75 90 87 81 67 62 60 54 50 49 49 48 47 45 42 38 35 34 34 34 40 52 65 83 104 122 138 149 153 150 144 139 138 137 136 135 133 130 125 123 129 138 144 146 140 129 119 109 106 121 131 114 83 56 45 44 49 57 66 69 60 47 39 34 31 28 25 23 nan 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 4 3 2 0 0 0 0 0 0 0 0 2 3 4 5 6 6 7 7 5 3 2 0 0 0 0 0 0 0 0 1 3 4 4 4 4 5 6 5 4 4 4 5 5 6 7 7 6 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 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 3 6 7 13 18 20 26 34 34 23 8 0 1 5 18 29 25 29 45 66 78 65 48 33 38 60 90 99 96 74 65 63 56 49 46 43 40 38 36 34 30 26 22 20 19 18 29 38 54 74 95 122 141 153 153 147 140 136 132 129 127 128 132 132 126 126 133 141 147 147 143 137 130 120 125 130 118 89 61 43 39 46 57 70 77 69 51 43 36 31 28 26 23 nan 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 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 8 7 5 4 2 0 0 0 0 0 0 0 0 1 2 3 4 4 4 7 8 8 6 6 5 5 6 7 6 6 5 5 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 16 20 26 34 34 22 7 0 1 7 23 36 35 32 44 66 84 76 59 39 32 47 83 103 104 86 71 64 57 50 46 43 39 35 32 30 26 19 14 10 5 5 11 17 28 44 66 92 121 143 149 143 134 129 125 121 121 123 129 136 130 124 128 134 141 145 146 147 147 141 134 130 120 97 71 51 43 50 68 86 98 97 86 68 50 36 28 23 20 nan 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 7 8 7 6 5 1 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 10 9 8 8 8 8 8 7 6 4 4 4 4 4 4 4 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 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 1 0 0 0 0 0 0 0 0 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 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 4 10 15 17 24 32 32 22 10 0 2 10 29 42 41 35 40 59 83 91 79 60 43 42 68 102 111 96 79 68 61 54 50 47 42 37 32 28 23 16 9 4 1 0 1 4 7 16 34 61 95 126 140 132 118 111 109 109 112 119 128 138 137 127 124 128 132 135 140 147 151 150 142 131 119 100 81 71 66 70 84 101 111 112 108 101 79 52 34 23 17 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 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 7 7 4 1 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 9 10 11 11 11 10 9 8 6 5 5 5 5 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 1 2 2 2 1 1 0 0 1 1 1 0 0 0 5 8 8 7 6 6 6 4 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 3 10 13 15 19 31 35 25 18 7 8 17 35 43 44 38 36 47 71 94 98 82 61 46 57 96 118 107 88 77 70 63 57 53 47 40 34 27 20 14 8 3 0 0 0 0 0 2 10 31 65 104 130 129 109 96 92 90 94 107 126 139 142 132 125 126 127 129 133 141 148 147 140 129 116 101 90 88 89 94 98 108 116 118 118 114 100 76 52 34 24 21 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 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 10 12 13 13 12 11 9 8 7 6 6 5 6 6 7 6 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 2 3 2 0 2 2 1 1 2 1 1 1 0 0 4 7 8 7 6 6 6 5 4 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 1 1 4 8 11 12 15 25 35 33 32 27 28 33 38 40 41 38 34 38 53 72 88 88 72 56 57 89 117 117 101 87 76 66 59 55 50 43 37 28 18 14 10 5 1 0 0 0 0 0 2 11 36 80 120 128 105 86 80 74 76 89 112 135 144 137 127 124 125 125 130 138 144 141 134 124 115 104 96 96 94 95 99 107 115 119 118 114 107 93 71 50 37 31 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 11 10 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 11 13 14 14 12 10 9 8 8 7 7 7 7 8 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 2 1 0 0 1 2 2 3 3 2 2 2 2 2 1 1 1 1 0 1 4 6 7 6 6 6 5 4 2 0 1 0 0 0 0 0 0 2 3 1 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 1 2 5 7 7 8 10 20 30 39 43 46 52 53 42 35 35 34 33 34 41 52 65 74 74 65 65 84 109 114 104 83 68 57 51 49 46 43 40 29 17 14 14 9 2 0 0 0 0 0 0 1 14 57 102 113 94 78 71 67 67 76 95 123 143 141 129 123 123 124 129 136 142 138 128 117 110 101 96 93 89 86 91 101 111 115 113 110 107 102 88 68 53 46 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 12 13 13 13 12 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 6 3 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 3 6 10 12 14 14 13 11 10 9 9 8 8 8 8 8 7 6 5 4 3 2 2 2 2 1 1 0 0 0 0 0 0 0 2 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 7 7 6 4 0 0 1 1 2 2 2 2 2 2 3 2 1 1 1 1 1 1 0 2 4 6 6 6 6 6 5 3 3 2 2 2 2 2 4 8 9 5 1 0 0 0 3 5 5 4 2 1 1 1 1 3 2 0 0 0 0 4 6 5 2 3 16 24 33 41 49 57 58 45 32 30 30 33 35 38 43 49 57 67 68 72 84 98 98 83 69 54 42 40 41 41 42 40 29 17 14 17 14 5 1 0 0 0 0 0 0 6 36 79 93 77 64 64 65 66 70 83 112 140 145 132 125 128 133 135 135 140 138 127 111 100 95 92 86 82 82 89 101 112 116 110 105 102 106 106 94 77 65 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 12 13 13 13 13 13 13 13 10 6 3 2 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 8 8 5 2 0 0 0 0 0 0 1 3 4 3 2 2 1 0 0 0 2 5 8 11 14 15 14 12 11 9 9 9 8 8 8 8 7 7 6 5 4 4 4 3 3 2 1 0 0 0 0 0 0 2 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 7 6 6 6 1 0 0 0 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 6 7 7 7 7 7 7 6 6 6 5 9 13 16 19 20 14 5 1 0 0 2 4 5 5 4 3 2 1 4 12 11 5 0 0 0 2 3 4 2 1 8 18 27 35 46 54 53 44 35 29 29 33 36 38 41 44 48 54 62 72 83 89 90 82 71 58 46 42 41 41 40 37 31 23 17 17 16 9 1 0 0 0 0 0 0 2 20 59 78 64 54 63 70 72 74 81 102 131 145 137 130 132 136 135 130 132 134 127 109 95 92 89 82 78 84 96 110 120 122 114 104 101 106 112 110 99 82 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 13 14 13 12 11 11 11 12 12 11 10 8 7 3 0 0 0 0 0 0 2 4 4 3 3 3 5 8 9 6 2 0 0 0 0 0 0 1 3 4 5 6 5 4 2 2 1 1 2 5 7 8 11 14 15 14 12 10 10 9 8 8 8 8 8 8 7 6 5 5 5 4 3 3 2 1 0 0 0 0 1 3 4 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 8 6 4 3 2 0 0 0 0 1 0 0 0 0 0 0 1 2 2 2 2 1 1 1 1 2 6 8 8 8 8 8 8 8 10 17 23 26 27 28 30 30 26 18 10 4 1 1 3 4 4 4 3 3 1 9 17 20 14 4 1 0 0 1 2 3 2 4 12 22 32 45 57 58 51 40 32 32 34 35 37 40 44 46 47 52 61 70 76 82 89 89 79 68 59 53 48 42 37 36 33 23 18 15 10 1 0 0 0 0 0 0 0 12 42 65 63 61 70 78 84 88 86 94 121 144 141 132 130 130 125 118 121 128 127 114 102 97 93 84 80 92 110 122 126 126 116 105 100 101 105 104 96 83 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
11 13 14 13 12 10 9 9 10 13 14 14 13 11 6 2 0 0 0 0 0 3 6 6 5 4 4 5 7 9 7 3 0 0 0 0 0 0 0 1 2 4 6 7 6 5 4 4 3 4 5 6 5 6 9 12 14 14 12 10 9 9 8 8 8 9 10 10 9 8 8 7 6 5 4 3 2 2 1 0 1 1 3 4 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 4 5 6 6 6 5 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 2 3 3 2 1 0 1 2 4 8 10 9 9 8 8 8 10 21 32 36 36 37 37 37 36 34 29 21 11 4 0 2 2 1 1 2 3 12 20 27 26 16 6 2 0 0 1 4 4 4 7 17 29 43 58 63 58 43 28 38 38 35 34 36 40 42 43 46 52 58 60 63 73 85 87 82 76 70 61 51 44 44 45 35 24 15 8 3 1 0 0 0 0 0 0 7 28 51 62 76 85 86 98 105 101 100 119 143 146 139 132 125 116 111 117 129 134 128 122 117 112 101 95 107 121 128 128 124 116 106 99 95 94 88 78 70 66 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 15 15 14 13 12 11 10 11 14 15 15 14 12 8 4 3 1 0 0 0 2 8 11 9 5 3 4 7 10 7 3 0 0 0 0 0 0 0 0 0 1 3 6 7 6 6 8 10 11 11 10 7 6 6 7 10 12 11 9 9 8 8 8 7 7 8 10 11 11 10 9 8 6 5 4 3 3 2 2 3 4 4 4 5 5 5 5 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 2 3 5 6 6 5 4 5 6 6 6 6 5 4 4 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 2 2 8 10 11 11 10 9 9 11 19 28 34 38 38 37 37 37 39 39 36 29 15 3 0 0 1 0 0 4 12 25 37 38 28 18 10 3 0 1 3 5 5 5 10 23 39 52 62 62 47 35 40 41 36 34 35 36 37 38 42 47 54 56 54 54 56 62 67 72 71 67 60 53 52 52 45 35 22 11 4 1 0 0 0 0 0 0 4 21 43 56 82 91 92 106 119 124 126 136 148 153 150 138 123 112 108 116 129 135 136 139 140 138 131 128 132 134 136 135 129 121 115 107 97 88 78 69 65 69 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 20 18 17 16 16 15 15 14 14 13 12 11 10 8 8 8 6 3 1 0 3 10 17 15 7 2 3 7 11 8 4 1 0 0 0 0 0 0 0 0 0 1 3 6 6 7 15 20 22 22 21 18 13 9 6 5 7 8 7 7 6 6 5 3 3 5 8 11 12 12 11 9 7 5 4 3 4 4 4 4 5 5 5 5 5 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 3 4 5 6 7 8 10 9 8 7 6 6 6 5 5 5 4 4 3 3 3 2 2 2 2 2 3 2 1 1 0 0 0 0 0 2 2 2 2 0 1 1 2 8 11 13 14 13 12 12 13 17 23 29 31 31 30 30 30 33 36 39 39 31 19 4 4 4 1 0 4 13 33 53 53 42 32 23 13 4 1 2 5 3 2 6 15 32 46 57 60 50 41 46 45 38 35 36 36 34 31 32 36 44 51 58 58 49 38 43 55 58 58 56 54 52 50 44 39 28 14 6 3 1 0 0 0 0 0 2 22 45 63 83 90 96 106 124 140 152 163 163 152 152 139 123 111 108 115 124 127 132 137 142 149 151 150 150 151 154 153 146 140 135 124 104 87 73 68 70 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 23 20 18 19 19 18 17 15 12 10 7 4 4 6 10 13 14 10 6 2 2 10 18 19 11 3 2 6 10 10 6 2 0 0 0 0 0 0 0 0 0 0 1 4 6 8 15 20 24 27 28 27 22 17 11 6 5 6 7 6 5 3 1 0 1 2 4 7 10 10 10 9 7 5 3 3 3 4 4 4 4 4 4 4 5 5 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 7 8 8 8 8 9 9 8 7 6 5 4 4 4 4 5 6 6 6 6 8 7 6 5 6 7 7 7 7 4 2 0 0 1 1 2 2 2 2 1 0 0 3 8 11 13 15 16 16 15 16 17 18 21 23 22 22 22 22 26 31 38 41 42 32 17 12 10 5 2 4 13 35 65 74 56 38 31 24 13 7 2 2 3 0 3 9 25 39 50 57 49 43 52 51 41 37 39 39 33 25 18 15 21 28 37 48 50 38 34 40 43 44 45 45 44 39 32 30 25 14 7 5 3 2 0 0 0 0 2 19 44 70 93 103 100 101 114 130 145 158 158 138 138 132 124 116 115 119 120 119 123 130 137 146 152 154 157 160 163 158 149 156 159 139 108 84 69 64 66 75 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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9 6 5 7 9 10 12 14 18 22 27 34 48 64 74 72 61 46 42 42 42 42 39 33 26 24 31 42 37 30 31 39 39 38 44 48 46 40 36 35 34 35 31 25 21 19 17 11 5 2 5 12 15 16 21 26 26 22 19 19 22 30 39 43 39 35 31 28 24 20 16 10 7 6 7 8 9 11 11 9 6 5 5 5 6 6 6 6 5 4 2 2 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 0 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 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 9 12 14 15 17 20 25 29 28 21 11 3 1 3 5 9 15 19 17 11 8 6 6 4 2 2 2 1 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 6 19 32 42 57 66 58 46 38 30 21 12 10 11 11 3 15 22 26 23 19 15 16 22 33 48 60 71 84 94 101 103 101 89 73 63 60 58 56 53 51 48 46 42 39 34 28 22 16 9 6 3 2 1 10 25 39 46 35 16 4 1 0 0 0 0 0 0 5 9 18 37 67 100 129 145 153 157 159 156 144 132 120 108 99 106 111 101 105 108 102 86 68 56 57 74 92 100 108 119 118 116 121 121 121 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 14 12 10 8 6 3 2 4 6 9 12 18 35 56 72 81 76 64 53 46 41 39 36 31 28 28 32 32 29 27 32 37 33 38 43 44 41 37 37 39 42 41 36 27 16 8 8 8 6 10 19 24 24 25 27 28 27 24 24 23 26 35 42 40 37 36 34 29 26 22 16 11 7 6 7 7 10 13 14 11 7 6 6 6 6 6 6 5 4 3 2 2 3 3 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 7 8 8 9 10 12 14 19 25 30 30 25 18 10 6 7 9 12 16 14 10 6 4 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 6 18 28 36 51 63 60 49 42 35 28 18 12 9 9 8 11 16 22 23 20 14 10 10 16 27 40 52 64 74 82 89 96 101 98 87 78 73 69 63 58 55 51 47 43 39 34 28 22 17 13 10 10 10 12 15 24 42 49 34 15 5 1 0 0 0 0 1 4 7 10 18 32 55 85 115 140 158 169 170 158 154 149 143 137 130 126 117 107 100 98 94 80 65 58 70 92 103 112 122 123 122 128 132 132 130 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
22 19 17 15 12 8 3 0 0 1 2 5 8 15 28 46 68 82 83 73 62 53 49 45 38 33 30 32 33 31 27 26 31 33 33 36 39 38 35 34 37 39 41 41 35 22 10 10 17 19 21 30 38 36 32 30 30 31 30 28 26 25 29 35 37 36 35 35 34 33 31 26 19 12 7 6 6 6 7 9 11 14 16 14 10 8 7 7 7 6 5 3 2 2 3 3 1 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 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 7 7 7 8 9 10 13 18 23 26 25 22 19 16 13 10 10 10 9 6 4 3 4 4 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 2 10 19 26 30 42 58 61 49 42 37 31 23 12 9 9 10 10 15 22 25 26 24 18 12 8 13 23 35 48 63 70 72 82 99 106 101 94 84 80 80 73 62 54 46 43 41 37 30 26 21 17 15 15 19 21 19 18 29 46 49 34 14 4 1 0 1 2 2 4 6 8 11 16 28 49 77 105 132 148 147 138 136 140 148 156 159 153 144 133 118 105 104 96 82 69 70 84 99 114 126 127 125 131 137 135 131 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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