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 7 7 7 6 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 2 2 3 3 3 2 2 3 3 3 2 3 3 2 3 2 2 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 4 4 5 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 5 5 6 5 5 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 6 7 8 8 7 6 7 7 7 6 6 6 6 5 3 2 1 2 3 6 5 7 8 11 -2 -5 -1 2 5 7 5 8 10 8 5 5 4 4 8 8 4 7 9 5 -0 6 4 -4 -1 6 12 8 1 0 9 14 8 -2 -1 3 3 5 5 1 3 2 -5 -6 -5 -3 1 6 11 6 -1 2 4 3 1 1 3 6 6 5 7 17 35 34 16 7 5 3 2 2 2 2 3 3 3 3 3 3 4 5 5 6 6 7 8 11 15 18 18 15 11 8 5 2 1 1 2 3 4 4 5 5 5 4 3 2 2 3 3 6 7 7 7 6 5 4 4 4 3 3 3 4 6 6 5 5 5 5 5 5 6 7 7 4 1 4 4 3 3 3 4 4 4 3 3 3 3 4 4 5 4 4 4 3 2 1 2 3 4 4 4 4 3 4 5 6 8 8 8 8 6 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 4 4 5 9 17 23 17 12 11 11 9 3 -0 -4 -6 -9 -3 2 2 5 6 4 4 4 3 -0 -6 -10 -8 -5 -4 -2 1 5 7 7 7 8 8 11 13 15 17 16 15 13 11 10 11 12 12 11 10 8 6 7 11 15 13 10 8 7 6 6 6 7 8 8 6 6 7 8 7 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 nan nan nan 5 6 7 7 6 6 5 5 4 4 4 4 5 5 4 4 4 5 5 6 7 6 6 5 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 3 3 4 3 3 4 3 3 3 4 4 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 6 5 5 5 6 6 6 7 7 7 7 7 6 5 5 4 4 5 6 6 8 8 8 6 6 6 7 6 6 6 6 5 3 2 0 2 5 8 9 10 17 14 -1 0 -0 6 11 8 4 6 6 7 9 8 4 9 19 15 8 7 7 3 2 11 8 -1 -1 5 11 9 2 -4 -1 10 11 3 -1 1 9 11 7 3 5 5 1 -2 -3 -5 0 10 14 5 -1 -1 1 2 5 6 8 10 9 8 14 29 37 23 8 6 4 2 2 2 2 2 3 3 3 2 2 3 4 4 5 5 6 6 7 10 14 18 18 15 12 9 6 3 2 2 3 4 4 4 5 4 4 4 3 2 2 2 2 4 7 7 7 6 5 4 4 5 5 3 4 5 5 5 5 5 5 5 5 5 6 7 6 1 -0 4 4 2 2 3 3 4 4 3 3 3 3 4 4 5 5 4 4 4 2 2 2 2 3 4 4 4 3 4 5 6 8 9 9 8 7 6 5 4 4 5 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 5 5 4 4 4 5 9 16 19 18 15 13 14 13 11 11 6 3 2 3 4 7 7 6 8 9 6 3 2 0 -3 -2 -2 -1 1 3 6 7 6 6 5 6 8 10 12 11 9 9 9 10 12 13 13 13 12 10 9 10 11 10 7 6 5 5 5 5 6 7 7 7 6 5 7 7 7 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 5 5 5 6 5 5 5 5 4 4 4 5 5 5 4 4 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 4 4 3 3 2 3 3 3 2 3 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 3 3 3 3 3 3 3 2 3 4 3 3 3 3 3 4 4 4 4 5 4 4 4 5 5 5 4 5 4 4 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 5 5 5 5 5 6 7 7 7 7 6 5 5 4 4 5 6 7 7 8 8 7 6 6 6 6 5 5 5 5 3 -0 -2 5 12 8 8 11 21 13 2 2 1 8 13 10 6 4 3 3 6 7 3 9 17 14 8 6 6 2 6 13 9 5 2 4 7 7 7 6 4 4 5 5 4 6 12 8 5 7 11 12 8 4 -0 -5 -2 8 10 5 1 -1 1 4 7 9 9 9 10 16 28 36 27 11 5 5 4 3 2 2 2 2 3 3 3 2 2 3 4 5 5 5 6 6 7 9 13 16 17 15 13 10 8 5 4 3 4 4 4 4 5 4 3 3 2 3 2 2 2 2 2 5 7 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 -1 -5 1 3 1 -1 1 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 2 2 3 4 4 4 3 3 4 5 6 7 9 9 9 8 6 5 5 5 6 6 5 4 3 3 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 5 4 4 4 4 6 12 15 16 13 9 9 8 8 7 7 5 4 5 5 4 6 8 9 6 4 5 7 5 5 4 5 5 5 6 7 6 6 5 5 6 6 7 7 6 6 8 10 12 13 13 13 13 11 11 10 9 6 4 4 5 5 5 5 6 6 7 7 6 5 6 7 7 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 2 3 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 7 8 8 8 6 6 5 5 6 6 5 5 5 5 4 3 3 3 2 2 2 2 2 2 2 3 3 2 3 3 2 3 2 3 3 3 3 3 3 3 3 4 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 6 7 7 7 6 6 5 4 4 4 6 7 7 8 8 8 7 6 6 6 5 5 5 4 2 -3 -6 -0 10 6 1 4 11 7 3 4 7 5 9 11 5 0 2 3 4 4 0 2 7 7 5 7 5 2 7 8 5 8 8 5 1 3 6 12 15 12 8 5 7 13 15 5 -3 4 14 17 12 4 -3 -6 -4 2 6 5 2 1 3 6 8 9 8 10 19 31 37 31 15 6 5 5 3 3 2 2 2 2 3 3 3 2 2 4 4 5 5 5 6 6 7 9 11 14 15 15 13 12 9 8 6 5 5 4 4 4 4 3 3 2 2 3 3 3 3 1 1 6 6 5 4 4 4 5 4 5 6 5 5 5 6 5 5 5 6 6 5 5 6 3 -4 -3 1 2 -0 0 3 4 5 5 5 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 5 5 4 4 6 6 8 8 9 9 8 7 6 6 5 6 6 5 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 3 3 2 3 4 6 11 11 7 4 5 4 4 4 4 5 5 4 3 4 7 7 5 4 6 6 6 7 7 7 6 7 8 7 7 6 6 6 6 5 5 5 5 6 7 9 10 10 11 11 11 11 10 9 8 6 4 4 5 5 6 6 5 5 7 8 7 5 5 6 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 5 6 7 8 8 7 6 5 6 6 6 5 4 5 5 4 4 4 3 2 2 2 1 2 2 2 2 3 3 3 2 3 3 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 6 6 5 4 4 6 7 7 7 7 8 7 6 6 6 5 5 4 4 1 -2 -8 -8 1 5 2 3 3 1 7 8 7 2 6 12 4 -3 2 6 7 2 -0 -1 2 2 4 6 2 2 6 5 -0 6 9 7 2 2 5 7 12 17 15 8 9 10 11 8 0 3 11 12 10 5 1 2 1 0 2 3 4 5 5 5 6 8 9 19 35 40 32 18 7 5 5 5 4 3 2 2 2 2 3 2 2 3 3 4 5 5 5 5 5 6 7 8 10 12 13 13 13 12 11 9 8 7 7 5 5 4 4 3 3 2 2 3 4 5 3 3 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 1 -5 -2 5 6 2 3 5 6 7 6 5 3 4 5 5 5 4 4 4 4 3 3 3 4 4 5 5 5 5 6 6 7 8 9 9 8 8 7 6 6 6 6 5 3 2 3 3 4 5 5 5 4 5 5 5 4 5 4 4 4 5 4 5 5 5 5 5 5 4 3 2 2 1 -1 -1 -1 -0 1 3 6 7 5 4 4 3 4 4 6 6 4 2 4 6 7 5 5 9 10 9 7 6 6 6 7 7 7 7 6 6 6 5 5 4 5 5 6 7 8 8 8 8 7 8 8 8 9 9 8 7 6 5 5 6 5 4 4 6 10 10 8 5 5 5 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 nan 2 2 3 3 3 3 2 2 2 2 3 4 4 4 4 3 3 4 4 4 4 4 4 5 6 7 7 7 7 6 5 4 4 4 3 3 4 5 4 4 3 3 2 2 2 2 2 2 2 3 3 2 2 3 3 3 4 4 4 4 3 3 3 2 3 2 2 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 5 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 6 7 7 7 7 7 6 5 4 4 6 7 7 7 7 7 7 6 6 5 5 5 4 3 2 -1 -5 -5 3 7 5 6 3 1 11 13 7 4 3 7 4 -0 3 8 8 3 2 0 -3 -3 2 5 2 4 10 9 4 4 5 5 3 1 3 5 6 9 10 9 9 4 3 10 11 8 7 7 8 8 10 9 5 4 4 4 7 7 5 4 5 6 11 27 38 31 17 7 4 5 5 4 3 3 2 2 3 3 3 3 3 2 3 5 5 4 4 5 5 5 6 8 9 10 11 11 11 11 11 10 9 9 8 7 5 4 3 3 3 3 3 4 4 4 3 3 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 4 -1 -4 2 6 5 4 5 7 8 6 4 3 4 5 6 5 4 4 3 4 3 3 3 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 7 7 7 6 5 3 2 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 2 1 -1 -2 -4 -4 -4 -4 -0 1 3 5 6 6 6 5 5 5 6 6 5 4 3 6 10 9 8 11 11 8 6 6 6 6 6 6 6 6 6 6 5 4 4 3 4 5 6 7 7 7 7 6 5 5 5 6 6 9 10 11 8 4 3 4 5 4 3 6 10 13 10 6 3 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 nan 2 2 2 3 3 3 2 2 1 1 1 2 3 3 3 2 3 3 4 3 4 4 4 4 4 5 6 7 7 6 5 4 3 3 3 2 2 3 3 3 3 3 2 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 3 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 6 5 5 5 4 4 5 5 5 5 6 6 6 7 8 8 8 7 6 5 5 5 6 6 7 6 6 7 7 7 6 6 5 5 4 3 2 1 -1 0 6 8 5 5 5 5 9 8 5 5 4 4 5 6 5 7 4 -0 4 5 -0 -1 3 3 -0 4 12 8 8 5 4 3 1 -0 0 6 6 4 1 4 5 6 5 2 6 6 6 5 1 7 12 11 7 6 7 5 5 6 5 4 5 6 15 30 29 16 7 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 5 5 4 4 4 4 5 6 7 9 9 9 9 9 9 10 10 10 10 9 8 6 4 4 3 3 4 5 4 4 4 3 3 6 6 5 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 7 6 5 4 5 5 3 -1 -3 0 4 5 7 9 8 6 4 3 4 6 5 4 4 3 3 4 4 4 3 4 4 5 5 5 6 6 7 7 6 6 7 7 7 8 9 9 9 7 5 3 3 3 3 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 3 3 2 3 2 0 -1 -2 -1 0 -0 1 3 4 5 6 7 7 6 7 6 6 7 7 6 4 7 12 12 9 7 5 4 5 5 6 6 6 5 4 4 4 3 4 4 3 3 3 4 5 6 7 7 6 6 4 4 4 4 4 7 10 11 9 4 2 3 4 3 3 5 9 12 10 6 3 4 5 6 5 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 3 2 2 3 3 4 3 2 2 1 1 1 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 6 6 6 5 3 3 3 2 1 1 2 2 2 2 2 2 3 3 2 2 2 2 1 2 2 1 2 2 3 3 3 3 3 3 4 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 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 5 5 5 5 6 6 6 6 7 7 8 9 9 8 7 7 6 6 5 5 5 6 6 6 5 6 7 7 7 6 6 6 5 4 4 3 2 1 2 6 8 7 5 7 9 7 2 3 5 3 7 9 5 6 -0 -4 2 5 5 3 4 0 -2 1 9 7 8 6 3 2 2 -1 -0 8 10 6 0 -1 -0 8 7 1 1 3 6 4 -3 -1 3 6 5 9 11 7 3 3 4 6 7 9 23 31 21 8 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 5 5 7 8 8 8 8 8 8 9 10 10 11 10 8 6 4 4 4 4 5 5 4 4 4 4 4 7 9 7 5 5 5 5 6 5 5 5 5 6 7 6 5 5 4 5 5 6 4 4 4 5 4 3 -0 -2 2 6 8 10 8 5 4 4 5 6 5 4 4 3 3 4 5 4 4 3 4 4 5 5 5 7 7 7 6 6 6 6 6 7 8 10 11 10 6 4 2 2 3 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 2 3 5 6 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 6 8 9 8 5 5 8 8 5 4 3 3 4 4 5 5 5 5 4 4 3 1 1 2 3 3 3 4 5 6 7 7 7 6 5 4 4 4 4 5 7 8 6 3 2 2 3 3 2 2 5 7 8 6 4 4 5 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 2 3 3 3 3 3 2 2 1 1 1 2 2 1 1 1 2 3 3 3 3 3 3 3 3 4 5 6 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 2 2 3 3 3 3 3 3 3 3 3 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 4 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 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 10 10 9 7 6 6 6 6 5 5 6 5 5 5 6 7 7 7 7 7 7 6 5 4 4 3 2 2 5 9 9 8 8 10 9 8 9 6 2 4 6 6 7 2 -1 0 3 7 5 5 4 3 4 4 5 7 4 1 2 4 1 2 7 9 8 4 -4 -2 4 4 4 8 8 8 6 3 -2 1 0 5 10 10 6 3 3 5 7 9 16 29 27 14 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 3 4 4 4 5 6 7 7 8 7 7 8 8 9 9 10 10 7 6 5 4 5 5 5 5 5 5 4 4 4 8 14 13 9 8 6 5 5 6 5 5 5 5 5 5 4 4 3 2 3 4 3 3 4 5 5 5 2 -1 1 6 9 9 6 3 2 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 5 5 5 6 6 7 6 6 5 6 6 6 7 9 11 10 8 5 2 1 1 2 3 4 5 6 6 6 6 6 5 5 5 5 5 4 4 3 2 2 2 5 6 6 6 6 6 6 5 3 3 4 3 3 2 2 2 3 4 5 6 7 9 10 8 5 4 5 4 3 3 3 3 3 3 4 4 4 4 5 6 5 3 2 1 2 4 4 4 5 5 6 6 7 6 6 5 5 5 5 5 5 5 3 2 2 2 2 2 2 2 3 4 5 5 5 4 4 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 2 1 2 3 3 3 3 3 2 2 2 2 2 1 1 0 0 1 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 4 3 3 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 3 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 3 3 3 3 3 4 3 3 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 6 6 6 6 6 7 7 6 6 6 6 6 7 7 8 8 9 10 11 10 10 10 9 7 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 7 6 5 5 4 3 2 3 5 5 7 7 7 6 6 10 11 8 5 3 2 4 7 7 6 4 5 8 7 8 10 11 9 2 2 2 1 -0 4 5 3 5 6 6 6 6 -2 1 4 6 9 6 6 7 3 4 1 5 5 9 11 8 5 2 2 6 8 9 20 28 20 8 5 5 4 4 4 3 3 3 4 3 3 4 3 3 4 4 4 5 5 5 4 3 3 4 5 5 5 6 7 7 7 8 8 8 8 8 9 8 7 6 6 5 5 5 5 5 5 4 4 3 3 6 13 16 16 14 12 10 9 8 7 6 5 5 3 3 3 2 1 0 1 2 3 4 5 5 5 5 4 3 3 5 6 6 3 1 1 3 4 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 8 9 10 9 7 4 1 -0 -0 1 3 4 5 6 7 7 6 5 5 5 5 5 4 3 2 2 1 2 6 10 7 5 6 6 6 5 4 3 3 3 3 2 2 2 3 5 6 7 7 10 12 11 8 6 5 3 3 3 3 3 4 4 3 3 4 4 4 6 8 8 7 5 3 4 4 4 5 5 5 5 6 6 6 6 5 5 6 6 5 4 4 3 2 2 2 2 3 2 2 3 4 4 4 3 3 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 2 1 2 3 4 4 4 3 2 2 3 3 3 3 1 0 0 1 1 2 3 3 3 2 2 2 3 3 3 4 4 5 5 6 6 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 6 6 6 6 6 7 7 7 6 6 7 7 7 8 8 9 11 12 12 12 11 10 9 7 7 6 7 7 7 6 5 5 5 6 6 7 7 7 6 7 7 6 5 5 4 4 3 3 3 4 6 6 2 1 1 4 7 6 3 1 1 3 8 12 10 7 7 5 8 11 11 9 7 4 3 1 -1 1 5 3 4 6 5 5 5 6 4 6 6 8 6 5 7 3 -2 -0 3 8 11 13 12 8 5 3 5 5 4 8 20 23 13 6 4 4 4 4 4 3 4 4 3 3 3 4 3 4 4 4 5 5 5 4 4 3 3 4 4 5 5 5 6 7 7 7 8 8 8 8 7 8 7 6 6 6 6 6 5 5 5 4 3 3 3 4 6 10 16 17 17 16 15 13 12 11 11 9 6 5 3 2 2 2 2 3 6 8 8 8 8 7 7 8 6 5 3 2 1 -0 0 2 3 4 5 6 6 6 6 6 6 6 6 5 5 4 3 3 4 4 5 5 5 3 3 3 5 5 5 6 8 8 9 8 7 5 2 -0 -2 -0 2 4 7 7 7 6 5 4 4 4 3 3 1 1 -0 -1 1 6 10 9 6 6 6 6 6 6 5 5 5 5 6 6 7 8 8 8 8 8 9 11 12 10 8 6 5 3 3 3 4 5 5 4 4 4 4 5 6 8 9 8 8 6 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 4 3 2 2 2 3 2 2 3 4 4 3 3 3 3 3 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 nan nan nan nan 3 2 1 1 1 3 4 4 4 3 3 3 3 4 4 3 2 1 1 2 1 2 3 4 3 3 2 2 2 3 3 3 4 4 4 4 5 6 5 4 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 4 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 5 5 5 5 4 4 4 5 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 12 13 14 14 14 13 12 10 8 7 7 7 8 7 6 5 4 5 6 6 7 8 8 7 7 7 6 5 4 4 4 4 5 5 6 7 7 1 -1 1 3 5 6 2 0 -1 1 7 13 11 6 4 3 7 11 10 7 4 6 9 7 5 6 5 2 4 6 3 2 3 5 6 5 6 6 2 4 3 4 4 3 2 5 9 8 8 7 5 4 6 5 4 11 21 18 8 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 5 5 5 4 4 3 3 4 4 5 5 5 6 6 6 6 6 7 8 7 7 7 7 7 6 6 6 5 5 5 4 3 3 2 2 3 3 4 7 9 11 13 14 14 15 16 16 15 13 11 9 7 6 7 8 9 13 16 17 16 15 13 13 11 7 5 3 1 -0 0 1 1 2 3 4 5 6 6 6 6 6 6 6 6 6 5 4 3 2 3 4 5 5 2 -3 -3 1 4 4 5 6 7 8 9 9 9 8 6 1 -1 -1 0 4 6 7 5 3 2 2 2 2 1 -1 -2 -2 -1 1 5 9 7 5 5 5 5 6 6 6 6 7 8 9 10 9 9 9 8 7 7 8 9 10 10 9 8 6 4 3 4 4 5 4 4 5 5 5 6 6 7 7 7 7 6 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 5 4 4 3 2 3 3 3 3 3 4 4 3 3 3 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 3 2 1 1 2 3 3 3 3 3 3 3 4 5 4 3 3 3 3 2 1 2 3 3 2 2 1 2 3 3 3 3 3 3 3 4 5 4 4 3 2 2 2 2 2 2 2 2 2 3 2 3 2 2 2 2 2 2 2 1 2 2 2 2 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 4 4 4 3 4 4 4 3 3 3 3 3 3 3 4 4 4 3 4 4 4 5 4 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 10 11 13 15 16 16 16 15 13 10 8 7 7 8 8 8 7 5 4 5 5 7 8 9 8 7 7 7 6 5 4 4 3 4 8 11 7 3 4 -0 2 8 8 -1 2 7 7 1 -1 2 9 11 6 3 1 4 10 12 9 4 5 7 7 9 10 6 5 4 6 4 1 3 3 3 2 7 4 4 5 2 8 8 5 -2 -1 5 6 5 7 6 5 5 5 9 19 23 14 6 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 3 4 5 5 5 6 6 6 6 6 6 6 7 7 6 7 6 6 6 6 5 5 4 3 3 3 2 2 2 2 2 2 3 3 4 7 9 11 11 11 13 14 15 17 17 16 17 19 22 21 19 19 19 19 18 16 11 7 6 5 3 1 1 1 1 2 3 4 5 5 6 6 7 6 6 6 6 6 6 5 4 3 2 2 4 6 6 -1 -9 -7 1 4 4 5 6 6 8 9 10 11 12 10 5 -1 -4 -3 1 4 5 2 -0 -0 1 2 2 -1 -2 -2 -1 2 5 5 4 4 5 5 5 5 6 7 8 8 8 8 8 7 6 6 6 6 6 8 8 9 10 10 10 8 6 5 4 4 4 4 4 5 5 6 6 6 6 7 7 8 7 6 5 4 3 3 4 4 5 6 6 6 5 6 7 7 8 8 7 5 5 4 4 3 3 3 3 3 4 4 4 3 2 2 3 3 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 nan nan 8 9 7 5 3 1 1 2 2 2 3 3 3 4 5 5 5 5 4 4 4 3 2 2 2 2 2 2 1 2 3 3 3 4 3 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 6 7 7 8 7 8 9 9 11 12 13 14 16 17 17 16 13 11 9 7 8 8 8 8 6 5 4 4 5 6 8 8 7 7 8 7 6 5 4 4 4 5 10 13 5 0 1 0 8 7 6 -3 -1 9 9 3 -2 -2 5 11 9 5 2 4 10 14 12 9 7 3 -0 4 9 8 8 5 8 7 4 5 5 4 3 4 5 9 5 7 11 7 0 -1 3 5 6 7 8 7 6 5 6 14 24 20 10 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 7 7 6 5 5 6 6 5 6 6 6 5 5 5 4 3 3 3 2 2 1 1 1 1 1 1 2 2 2 3 4 4 5 7 9 12 16 19 20 20 20 19 16 13 11 12 14 15 12 8 7 7 6 6 4 3 2 1 1 3 4 5 5 5 4 5 6 4 3 4 6 7 7 6 4 3 3 4 8 10 8 0 -6 -1 4 4 4 5 5 6 7 9 11 13 15 14 7 -0 -6 -7 -4 -0 2 0 -1 -0 2 2 1 1 0 1 4 5 4 3 3 5 6 6 7 8 9 9 8 8 5 5 6 6 6 6 6 7 7 8 9 10 11 10 8 7 5 4 5 5 4 4 4 5 6 6 6 6 6 7 9 10 9 6 4 3 3 3 4 6 6 5 5 6 5 6 7 8 8 8 6 5 4 4 4 4 4 3 3 4 4 4 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 nan nan 8 9 9 8 7 4 3 2 1 1 1 1 2 4 5 5 5 5 5 5 6 5 4 2 2 3 2 1 1 2 2 3 4 3 3 3 3 4 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 6 7 8 7 8 9 10 10 11 12 13 14 16 17 16 13 11 8 8 8 9 9 8 6 4 5 5 6 7 8 8 7 8 9 7 5 4 4 4 4 5 8 8 3 3 3 6 9 4 -1 2 2 12 11 8 4 -0 3 7 7 9 9 6 9 13 14 12 10 5 2 4 5 5 7 10 9 7 6 6 8 8 5 3 7 10 6 11 14 9 1 5 9 7 5 7 8 8 7 6 7 16 22 14 6 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 7 7 7 6 5 5 5 4 5 5 5 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 2 2 3 3 4 4 6 8 9 11 12 12 10 8 8 7 7 7 8 8 7 5 6 6 6 6 5 5 4 3 2 3 4 5 6 6 3 1 4 4 -2 -4 1 6 7 7 6 5 4 4 8 13 12 7 5 3 3 5 4 4 5 5 5 6 8 10 12 14 15 9 1 -7 -11 -8 -3 -2 -3 -1 1 2 2 3 4 4 4 5 5 4 4 5 6 7 9 10 11 10 9 8 6 5 6 7 7 7 7 6 7 7 8 10 10 10 9 7 7 6 6 6 5 4 3 4 4 5 5 5 5 7 9 10 9 7 5 4 3 4 4 6 6 6 5 5 6 6 6 8 8 8 6 5 4 3 4 4 4 4 3 3 4 4 4 3 3 3 3 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 nan nan nan nan 6 7 8 9 9 8 6 5 3 1 -0 -0 1 2 4 4 4 4 5 6 7 7 6 5 4 4 3 2 2 1 2 3 3 3 3 3 3 4 5 6 5 5 5 5 4 4 4 3 3 3 3 2 1 1 1 1 2 2 2 3 3 3 2 2 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 6 7 7 7 8 9 9 10 11 12 12 13 14 14 14 12 10 9 9 9 9 9 8 6 4 4 5 6 7 8 9 9 9 9 7 5 4 4 3 3 5 6 6 4 7 7 10 6 9 5 12 6 9 11 15 14 7 1 2 3 9 8 3 3 10 14 12 8 5 5 9 5 -1 3 10 9 7 6 5 9 9 3 3 8 8 8 12 12 11 6 9 8 6 6 6 7 7 6 7 11 20 19 9 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 6 6 7 7 7 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 4 4 4 4 5 6 8 7 4 4 7 2 -6 -8 -1 5 7 7 6 5 5 7 12 13 8 6 6 5 5 4 4 4 3 3 2 3 4 4 5 9 11 9 1 -6 -8 -6 -3 -2 -0 1 2 3 3 4 4 4 4 6 6 6 6 6 7 6 6 8 9 7 7 6 6 6 7 7 7 6 6 6 7 8 9 9 9 9 9 8 8 7 6 6 4 3 3 3 4 4 5 5 6 7 8 8 7 6 5 4 4 5 6 7 8 7 6 6 5 6 8 8 8 6 4 3 2 3 4 4 4 3 3 4 4 4 4 3 4 3 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 nan nan nan nan 4 4 5 7 9 9 9 8 7 4 1 0 1 2 3 3 3 3 4 6 6 6 7 7 7 6 5 3 2 2 3 3 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 4 4 4 3 3 2 2 2 3 3 3 3 4 4 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 3 4 3 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 5 6 7 8 8 9 10 11 11 11 11 12 12 13 13 12 10 9 8 9 9 9 7 6 5 5 6 7 8 8 10 11 11 9 7 5 4 3 3 3 4 6 6 5 7 9 7 2 10 13 16 8 4 8 15 16 11 1 2 3 2 -1 -3 0 8 13 12 7 1 1 5 3 -2 -1 3 7 9 6 4 8 8 2 4 7 6 8 10 8 8 9 10 5 2 5 5 6 6 5 7 15 22 16 6 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 4 4 4 3 3 3 3 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 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 5 7 10 10 8 10 10 3 -5 -7 -3 2 3 4 4 5 5 8 11 8 5 5 5 4 3 2 2 1 -0 -2 -4 -2 -0 -2 -2 4 8 8 6 3 3 3 1 -0 1 2 3 3 1 2 3 4 6 8 8 8 6 7 7 4 4 6 5 6 6 6 6 7 7 6 5 5 6 7 8 8 9 9 9 10 10 9 9 8 8 6 4 3 3 3 3 4 4 5 6 7 7 6 6 5 4 4 5 5 7 8 7 7 6 6 7 7 8 8 7 5 3 2 2 2 3 3 4 3 3 3 3 4 4 4 4 3 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 nan nan 4 4 3 3 4 6 8 8 8 8 7 6 4 3 3 2 2 1 1 3 5 5 5 6 7 8 7 6 4 3 4 4 4 5 5 5 4 4 5 4 5 6 6 6 7 7 6 6 6 5 4 4 3 3 3 4 4 3 3 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 8 10 10 11 11 10 10 12 12 13 13 12 10 9 8 8 9 9 7 5 5 6 6 8 9 9 10 11 11 8 6 4 4 3 2 3 5 6 5 5 8 8 1 2 4 7 5 8 5 5 8 8 12 4 5 3 -1 -2 -4 2 8 10 13 12 3 -1 2 2 1 -2 -3 3 8 4 -2 1 4 5 5 5 5 8 9 5 4 8 8 2 -1 2 4 5 6 6 7 17 23 14 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 5 4 4 3 3 3 3 3 3 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 7 6 5 5 6 7 7 9 10 6 1 -6 -8 -5 -4 -2 -1 2 5 5 7 6 5 5 5 4 3 1 -0 -1 -2 -3 -5 -5 -2 -1 -3 -1 5 9 11 10 8 7 5 2 2 3 3 4 4 3 4 6 7 8 8 6 5 7 9 8 5 5 5 5 6 6 6 6 5 5 5 5 5 6 7 8 8 9 10 11 11 11 10 10 9 8 6 4 4 3 3 4 4 5 6 6 7 6 6 5 4 4 5 5 5 6 5 6 7 6 7 8 9 9 9 6 5 3 2 1 2 3 2 3 2 3 3 3 4 5 5 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 3 2 2 3 4 5 6 6 8 10 10 9 7 5 3 2 2 1 2 3 4 4 5 6 7 7 6 5 5 5 5 5 5 6 5 5 6 5 5 6 6 6 7 7 8 7 7 7 6 5 5 4 5 4 4 4 4 4 3 3 3 3 3 2 2 3 2 2 3 3 3 4 3 3 3 3 3 3 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 4 3 3 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 5 4 5 4 5 5 6 6 7 8 9 10 11 11 10 10 11 13 13 13 13 12 10 8 8 8 8 8 7 6 6 7 8 9 10 10 10 10 9 8 5 4 4 3 2 4 7 8 6 7 10 3 -4 1 1 8 5 7 4 5 1 -3 5 8 10 7 3 1 -1 2 6 6 8 16 14 6 1 2 4 2 -2 0 3 -0 -1 -1 3 6 4 3 3 7 8 5 4 6 3 2 4 4 4 6 6 6 8 18 23 12 5 4 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 5 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 4 4 3 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 8 8 7 7 6 5 4 4 4 6 8 5 2 -1 -3 -3 -4 -4 -6 -6 -0 3 4 5 4 5 5 4 2 2 2 1 0 1 0 -0 1 3 3 3 4 7 8 8 6 6 5 5 5 5 4 6 10 10 9 8 7 7 8 4 2 5 6 7 7 5 4 5 5 6 6 5 4 4 4 4 5 6 6 7 7 8 9 10 11 11 11 11 10 9 8 6 5 4 4 3 3 5 6 5 6 7 6 6 4 3 4 4 4 5 5 5 6 6 7 7 9 10 9 9 7 6 4 3 3 2 2 2 2 2 2 3 3 4 5 4 4 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 nan 3 3 3 3 3 3 3 4 5 6 8 10 11 10 7 4 3 3 3 2 2 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 8 8 7 6 6 6 6 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 4 5 4 4 5 5 5 6 6 7 7 9 10 10 11 12 13 13 14 14 13 12 10 9 8 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 7 5 5 4 2 2 5 7 7 6 7 9 3 -3 1 3 11 19 15 5 4 2 -1 -2 11 16 13 7 6 4 1 -0 1 3 10 17 13 3 3 5 3 3 3 -0 -0 5 6 4 4 1 1 3 4 7 11 9 4 0 3 11 7 5 5 5 6 8 21 22 10 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 6 6 7 7 7 6 5 5 5 7 9 8 4 3 3 2 3 1 -3 -7 -8 -5 -0 2 3 4 4 5 4 4 6 7 5 4 3 4 4 4 5 5 5 5 4 4 4 4 3 3 6 8 7 8 13 14 13 9 6 6 7 5 2 3 4 6 7 6 5 4 5 6 6 5 4 4 4 4 4 5 5 6 6 7 8 9 10 10 11 10 10 10 9 9 7 6 5 4 3 4 6 4 4 6 7 7 5 3 3 4 4 4 5 5 5 6 6 7 7 8 9 9 10 9 8 6 5 4 3 2 1 1 2 2 2 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 nan 2 2 3 3 3 3 3 3 4 4 6 8 11 12 9 5 3 3 4 3 2 3 4 4 5 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 6 6 6 7 7 7 8 8 8 7 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 6 7 7 7 8 9 11 14 15 15 14 14 13 12 11 9 8 7 6 7 7 7 8 8 9 10 11 11 10 10 9 8 8 6 5 5 4 2 1 4 6 5 4 3 7 5 1 3 6 9 19 16 7 4 7 8 -0 10 16 13 10 13 10 2 -4 -3 -1 2 7 11 5 4 6 3 5 6 1 2 7 8 5 2 3 4 4 3 7 16 13 3 2 5 10 7 5 6 5 6 9 20 22 10 4 3 4 3 3 4 5 4 4 5 4 4 4 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 5 6 5 5 5 4 4 3 4 4 4 4 5 5 6 6 6 5 5 6 5 5 4 4 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 11 13 11 6 3 4 4 4 3 -0 -5 -8 -7 -2 1 1 1 3 5 6 8 9 7 5 5 3 3 3 4 4 5 5 4 3 5 5 4 1 5 8 9 9 11 11 10 8 6 5 6 5 3 3 4 6 7 6 5 5 5 5 6 5 5 4 4 4 4 4 5 5 6 6 6 7 8 9 9 9 9 9 10 9 8 8 7 6 4 3 4 5 3 4 7 8 7 5 3 4 4 4 4 5 5 6 6 6 6 7 8 8 9 10 11 10 9 7 5 4 3 2 2 2 2 2 2 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 nan nan nan
nan nan nan 2 2 2 2 3 3 3 2 3 3 3 3 5 8 11 11 8 5 3 4 4 4 3 3 4 5 5 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 6 6 7 6 6 6 7 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 2 2 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 6 7 7 7 9 12 15 16 15 14 13 13 11 10 8 8 7 6 6 6 7 8 9 9 10 11 10 10 10 10 8 7 6 5 5 5 3 2 2 5 4 7 7 2 3 3 4 7 8 6 7 7 5 1 6 10 5 6 7 7 13 13 11 4 -3 -3 0 1 -0 4 7 7 6 2 2 4 5 4 5 8 8 5 8 9 7 4 6 12 10 5 5 5 4 4 4 5 5 6 12 22 21 11 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 3 3 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 5 6 6 6 7 9 12 14 16 11 6 6 5 3 4 4 3 -0 -5 -5 -3 -3 -2 -1 -0 1 3 5 6 7 7 4 3 2 3 3 4 5 5 5 7 9 8 4 5 8 7 8 8 7 7 6 6 6 6 5 4 3 3 4 5 6 6 5 4 5 5 6 5 5 5 4 4 4 5 5 4 4 5 5 6 6 7 7 8 8 10 10 7 9 10 8 6 4 3 3 2 2 4 6 8 7 5 5 4 4 4 5 5 6 6 7 6 6 6 6 7 8 10 12 12 11 10 7 5 4 4 3 3 2 2 1 0 -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 nan nan 2 2 2 2 2 2 2 2 2 2 2 2 3 5 9 12 10 7 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 8 7 7 6 6 6 5 6 6 6 6 5 4 4 4 4 5 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 8 13 20 21 15 11 11 12 11 10 8 7 7 6 6 5 6 7 9 10 11 11 10 10 9 9 9 7 4 3 4 5 4 2 2 3 3 4 10 11 5 1 2 6 8 7 4 2 4 4 1 4 8 8 5 -0 1 11 7 6 6 4 1 1 3 -0 2 10 13 8 3 3 6 8 6 6 10 10 6 7 10 11 7 6 10 9 6 7 5 2 2 3 5 5 5 11 22 24 11 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 9 12 14 15 15 13 11 7 5 5 5 5 2 -1 -1 -1 -1 0 -0 -1 0 4 6 8 9 7 4 3 2 3 5 8 9 8 8 10 11 8 6 6 7 8 8 8 7 7 6 6 7 6 5 4 4 4 5 6 7 5 3 3 5 7 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 11 9 8 11 11 9 7 5 3 2 2 2 3 6 7 8 6 5 4 4 5 5 5 6 7 7 7 7 6 5 5 7 10 11 12 12 10 8 7 7 7 6 5 3 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 nan nan nan
nan nan nan 3 2 3 3 3 2 2 2 1 1 2 2 2 3 5 9 10 9 8 7 6 6 6 5 4 3 3 3 3 3 4 4 4 4 5 4 5 6 7 8 8 9 8 8 7 7 6 6 5 5 5 6 5 5 4 4 4 4 5 5 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 2 2 3 2 2 2 2 2 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 8 8 11 24 32 20 8 5 7 9 10 9 8 7 7 6 6 6 6 7 9 10 11 11 10 9 9 9 8 5 2 2 3 3 2 0 3 4 1 7 11 14 9 3 3 7 6 5 4 5 7 7 6 5 5 7 6 -0 0 5 3 2 6 7 5 3 3 1 2 6 8 8 8 7 7 9 9 9 10 9 6 4 9 12 7 7 13 11 8 9 5 3 2 3 4 5 2 6 20 28 15 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 4 4 4 3 4 5 5 6 6 6 5 5 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 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 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 5 5 4 5 7 9 14 16 16 16 15 12 9 8 9 7 6 6 5 4 4 5 3 4 6 7 7 10 12 9 6 5 5 8 12 12 11 10 11 9 7 6 7 9 9 9 8 7 6 7 7 7 6 6 5 5 4 4 6 7 5 3 3 4 6 7 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 8 9 8 10 11 11 9 7 5 4 2 1 2 3 6 8 8 6 5 4 4 4 5 5 7 8 9 8 7 5 5 6 7 8 10 10 10 9 9 8 9 9 8 8 7 5 3 0 nan nan nan 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 2 2 1 1 1 1 2 2 3 5 6 7 6 6 6 6 7 7 6 4 3 3 2 3 3 3 3 3 3 2 3 4 5 6 8 8 8 9 9 8 7 7 6 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 7 8 9 10 17 32 27 4 -1 3 6 8 9 9 8 8 7 6 6 6 7 8 9 10 11 10 10 9 9 9 8 4 2 1 2 0 -0 2 4 4 2 4 7 12 12 6 4 5 3 2 1 4 6 5 6 5 2 4 5 1 -1 1 3 3 5 6 5 7 5 3 2 3 1 5 8 7 5 6 10 11 7 5 6 6 6 5 3 7 13 12 10 11 6 4 4 3 3 4 3 4 15 29 20 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 5 5 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 5 4 4 4 5 5 6 8 11 14 16 16 15 13 13 14 15 14 11 7 6 7 6 6 9 12 11 12 17 16 12 12 9 9 12 13 10 8 7 6 5 6 9 10 10 8 7 6 6 7 7 7 6 6 6 6 5 5 6 6 6 4 3 4 5 7 8 6 5 4 4 4 3 3 3 3 3 4 4 3 3 4 4 4 5 5 7 8 9 10 11 10 8 6 4 3 2 2 3 6 8 8 7 5 4 3 4 4 5 8 9 9 8 7 6 5 5 6 6 7 7 7 7 8 9 9 9 10 9 10 9 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 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 3 4 5 5 4 4 5 5 6 6 6 5 5 4 4 4 3 4 4 3 2 2 2 3 4 5 6 7 7 8 9 9 8 8 8 7 6 5 5 5 5 5 4 4 5 5 5 5 6 6 7 7 6 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 5 4 4 5 6 6 6 5 5 4 4 5 7 9 11 14 20 27 11 -7 -4 4 5 7 9 9 9 8 6 6 6 7 8 9 9 10 10 9 9 9 9 9 7 4 1 0 -1 -1 1 4 4 6 7 2 2 6 10 9 6 5 4 2 0 3 5 5 6 5 3 2 5 3 -1 3 8 7 5 5 6 9 10 11 6 3 -0 -2 5 6 5 5 6 6 3 1 6 10 7 1 -1 5 12 13 12 13 10 5 4 2 1 4 4 3 14 28 22 6 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 4 4 5 5 5 4 4 4 5 5 5 5 4 5 5 6 8 10 12 13 13 12 13 13 15 16 14 11 11 10 10 12 15 16 16 18 18 18 16 12 7 7 8 6 3 3 4 5 8 9 10 9 7 6 5 5 6 7 6 6 6 5 6 6 5 5 6 6 6 5 4 4 5 7 8 6 5 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 6 8 9 10 11 11 10 8 6 4 2 2 4 6 7 8 8 5 4 3 4 5 6 8 9 10 9 8 6 4 3 4 4 4 4 5 6 7 8 9 9 9 10 11 9 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 5 5 5 5 4 4 4 5 4 5 4 3 3 3 3 3 4 5 5 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 3 2 1 2 3 3 4 5 5 6 7 8 8 9 9 8 8 7 7 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 5 6 7 6 6 5 4 5 5 8 11 14 17 20 19 3 -5 2 6 2 4 9 10 9 8 7 6 6 7 8 9 9 9 9 8 8 8 9 9 7 3 -0 -3 -3 1 4 7 5 7 12 8 5 4 7 7 6 8 10 6 1 2 5 6 9 7 3 4 7 4 3 9 12 9 7 6 7 9 13 16 12 7 2 -1 3 5 9 7 -1 1 1 1 7 12 11 4 1 4 8 12 15 13 11 6 2 0 1 6 7 3 16 30 20 5 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 5 4 3 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 6 6 7 7 8 7 6 5 8 11 15 15 14 13 12 11 10 11 12 12 12 12 11 9 6 4 4 3 2 3 4 5 8 9 8 7 5 4 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 7 6 5 4 5 7 7 6 4 3 2 2 3 3 2 2 3 3 3 3 3 4 4 4 5 5 6 7 9 10 11 12 11 10 6 4 3 3 4 6 7 8 8 6 5 4 4 6 8 9 9 10 10 8 5 3 2 3 3 3 3 4 5 8 9 8 9 9 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 3 2 2 4 5 5 5 5 5 5 5 5 6 7 7 5 4 3 2 2 2 3 3 3 4 5 6 6 7 7 8 8 8 7 7 7 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 4 3 3 3 2 3 2 2 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 4 4 4 5 5 5 4 4 4 5 6 7 7 6 5 4 5 6 9 13 18 22 22 14 -4 -2 10 3 -4 -2 4 10 10 8 7 6 6 7 8 8 9 9 8 8 8 8 8 8 6 2 -2 -4 -2 4 9 10 3 4 14 12 9 1 3 2 1 9 14 9 3 1 1 6 9 7 5 5 7 7 9 12 11 7 7 6 6 7 9 9 9 14 11 3 1 2 9 8 -0 1 3 6 8 9 13 7 5 7 5 10 18 15 11 5 1 -3 -0 9 13 7 17 30 17 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 4 4 3 3 3 3 4 3 3 3 4 4 4 5 5 5 5 4 3 3 4 5 6 7 6 5 4 4 3 3 3 3 3 4 4 3 3 3 3 4 4 5 5 5 5 4 3 3 4 4 4 4 4 5 6 5 5 4 5 5 5 4 3 3 4 6 9 9 10 7 6 6 6 6 6 6 6 6 6 5 4 3 3 3 4 5 6 7 7 6 5 3 2 2 2 2 3 3 3 3 3 3 4 5 5 5 6 6 7 7 6 5 4 5 6 7 5 3 2 2 3 2 2 3 3 3 3 2 3 3 3 3 3 4 5 6 7 8 10 12 13 12 10 7 5 4 4 5 7 8 8 8 7 6 5 6 8 9 9 10 10 9 7 4 3 3 3 3 3 4 5 7 8 9 8 9 9 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
nan nan 3 4 4 4 3 3 3 4 5 5 5 6 5 5 5 5 5 5 5 6 5 4 2 3 4 4 4 4 5 4 4 5 6 7 8 8 6 4 3 2 2 2 2 2 2 3 4 4 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 6 7 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 7 7 7 6 5 5 5 6 10 16 23 27 26 14 -3 -0 6 -6 -11 -7 1 8 10 8 8 7 6 6 7 8 9 9 9 8 8 8 8 6 3 -1 -3 -2 1 6 9 7 1 5 11 6 2 -0 -2 -2 1 7 11 9 7 6 6 7 5 3 3 5 7 10 13 11 6 4 4 3 4 5 6 2 1 12 14 5 -1 -3 3 11 7 6 7 10 6 5 10 10 9 10 9 10 20 21 13 6 -0 -6 -2 13 18 10 16 29 19 6 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 3 3 3 3 4 3 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 4 3 3 3 4 4 5 6 7 7 7 6 4 4 3 2 3 3 3 4 4 3 3 3 4 4 5 5 5 4 3 3 3 3 4 4 4 5 5 5 5 4 4 4 5 4 4 3 3 3 3 3 5 5 4 4 4 4 5 5 5 6 6 6 5 5 4 3 3 4 5 6 6 5 4 2 1 1 2 2 2 2 3 3 2 3 3 3 3 4 5 6 6 6 8 8 5 3 3 5 7 6 5 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 6 7 8 10 12 13 12 9 7 4 4 5 6 8 9 9 9 8 6 7 7 8 8 9 9 9 8 6 4 4 4 4 3 4 5 7 9 9 8 8 9 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
nan 3 3 3 3 3 2 2 2 3 4 4 5 5 6 6 6 6 6 6 6 7 8 8 5 4 4 4 4 5 5 4 4 4 5 6 8 9 9 8 6 4 3 2 1 1 1 2 3 3 3 3 4 4 4 5 5 6 6 5 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 8 8 6 6 5 5 8 14 22 27 28 26 18 7 2 -1 -11 -13 -7 1 7 9 8 8 7 6 6 7 7 8 9 9 9 9 9 8 4 -2 -5 -3 1 4 7 6 0 -3 4 8 4 2 6 -2 1 7 4 4 5 6 10 12 12 4 -0 1 4 9 12 11 6 4 5 4 1 2 4 5 0 -3 3 7 6 0 -9 -1 16 14 8 9 7 0 2 4 6 12 17 16 12 21 27 15 4 -3 -6 1 13 15 9 16 30 20 6 4 4 4 4 4 4 4 4 5 4 5 4 4 5 5 4 3 3 3 4 4 3 4 3 3 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 5 5 4 4 4 4 4 3 3 4 4 5 6 6 6 7 7 6 6 4 3 2 3 3 4 4 4 4 4 4 4 4 5 5 5 4 3 3 2 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 4 5 5 6 7 6 6 6 5 5 5 6 6 5 4 3 2 2 2 2 3 4 4 3 3 2 2 2 2 3 4 5 6 6 6 7 8 6 4 3 4 6 7 6 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 4 6 7 8 11 13 13 11 8 6 4 4 5 7 9 10 10 8 7 7 8 8 8 8 8 8 8 7 6 5 6 5 3 3 5 6 8 8 8 8 9 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 4 4 3 2 2 2 2 3 3 4 4 5 5 6 5 5 5 6 6 6 7 9 10 9 7 5 4 5 5 5 4 4 3 4 4 6 8 9 9 9 7 5 3 2 2 1 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 5 5 5 5 5 5 5 5 6 5 6 6 6 5 6 6 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 5 5 4 5 4 4 4 5 5 5 5 6 6 6 6 7 8 8 6 5 5 7 13 23 28 23 19 19 13 9 2 -6 -11 -9 -2 5 9 9 8 7 7 7 7 8 7 8 9 9 9 9 9 7 0 -6 -6 -0 4 6 6 7 6 4 3 3 2 7 6 -1 6 14 6 -1 0 6 11 11 9 3 2 2 5 12 14 9 4 4 5 4 4 4 4 2 1 2 2 -1 -0 1 -6 -1 19 19 7 6 2 -4 2 4 3 8 12 13 13 25 31 16 3 -4 -6 4 10 7 6 17 32 23 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 4 4 5 6 5 5 6 6 6 7 6 6 4 3 3 3 4 3 4 3 3 4 4 4 4 5 5 5 4 4 3 3 4 4 3 3 4 5 4 4 5 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 3 3 3 4 5 5 6 7 7 7 6 6 6 6 5 4 3 3 2 2 3 4 5 5 5 4 3 2 3 3 2 3 4 4 6 6 6 7 7 7 5 4 4 4 5 6 5 4 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 3 3 4 5 7 9 12 13 13 11 7 4 3 4 6 9 10 9 8 8 8 8 8 8 7 7 8 8 8 7 6 9 6 4 2 2 4 5 6 7 7 7 8 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 5 5 4 3 3 4 4 4 3 4 5 6 6 5 5 5 5 5 6 6 6 8 10 10 9 6 5 5 5 5 4 3 3 2 3 4 5 7 8 9 8 7 5 4 4 2 0 0 1 1 1 1 2 3 3 4 4 4 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 5 6 6 7 7 8 8 7 7 6 6 12 24 33 29 13 5 12 8 1 -8 -9 -5 -1 4 8 10 10 8 6 7 8 8 9 8 8 9 9 8 8 8 4 -4 -8 -4 3 6 6 6 6 10 14 12 8 6 4 -2 -3 9 18 10 2 1 7 16 12 4 4 5 4 6 13 13 8 6 4 2 5 8 8 7 5 4 7 6 3 1 2 0 3 16 17 5 2 1 -3 6 7 3 5 10 9 15 30 31 16 3 -3 -3 5 9 5 4 14 32 25 6 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 4 5 5 5 5 6 7 8 8 8 7 5 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 3 3 3 3 4 5 4 4 4 3 4 3 4 4 5 7 7 8 7 7 8 7 5 4 3 3 3 3 4 5 5 5 5 5 3 2 4 7 3 2 3 4 5 6 7 7 7 7 6 5 4 4 4 6 6 5 4 3 3 3 2 2 1 1 2 3 3 3 3 3 3 3 2 3 4 5 7 10 13 14 13 10 6 4 3 4 6 6 6 6 8 9 8 7 7 6 6 7 8 8 7 8 9 8 6 1 0 1 3 4 4 5 6 7 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 6 5 5 5 5 5 5 4 4 4 5 7 7 6 5 5 5 5 6 6 6 6 7 8 8 6 4 4 5 5 4 3 2 2 2 2 3 4 6 6 7 7 7 7 6 5 2 -0 -0 1 1 2 2 2 3 4 5 4 4 3 3 2 2 2 2 1 1 1 2 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 7 8 8 8 8 8 10 21 32 31 20 7 -0 5 5 -11 -16 -7 2 5 8 10 11 10 9 7 7 8 10 10 11 10 9 8 8 7 4 -0 -5 -4 0 4 7 8 9 7 3 3 6 9 7 2 -4 -0 10 17 13 10 9 11 14 10 0 1 4 6 8 12 11 8 8 3 0 6 9 7 8 10 11 12 9 8 8 7 3 3 11 9 0 -2 -2 -2 8 6 -0 4 10 8 18 34 29 12 2 -1 1 8 11 7 4 12 27 23 7 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 3 4 4 4 4 3 3 4 4 4 5 6 7 8 10 11 9 6 4 3 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 3 2 3 3 4 4 4 4 3 4 4 5 5 4 3 3 3 4 4 5 5 4 3 4 3 4 5 5 6 8 8 8 8 8 7 6 4 4 3 4 4 4 5 5 5 5 5 3 3 6 8 5 2 3 4 5 6 7 7 6 6 6 6 6 5 5 6 6 5 4 3 2 2 3 3 1 1 2 2 2 2 3 3 3 3 3 3 3 4 5 6 10 13 14 12 9 6 5 4 3 4 4 6 7 8 8 8 7 6 6 6 7 7 8 8 7 10 8 2 1 1 1 2 3 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 5 5 5 5 5 5 5 4 4 4 5 7 8 7 6 5 4 5 5 6 6 6 6 7 7 6 4 4 5 5 4 3 3 2 2 2 2 3 3 4 4 5 6 8 8 8 7 4 2 2 2 2 2 3 4 4 5 5 5 5 4 3 3 2 2 1 1 1 2 2 3 3 3 4 4 4 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 6 7 7 7 8 8 8 10 11 15 22 25 18 11 7 2 -2 -5 -15 -9 2 7 8 9 9 9 9 8 7 7 9 11 12 13 12 11 9 7 5 -1 -4 -2 -1 2 5 10 10 9 9 5 2 -2 -5 -1 0 1 5 10 15 17 17 13 12 10 6 -1 0 7 9 8 8 8 6 5 1 2 9 8 5 7 9 10 10 7 7 12 11 2 -0 7 8 2 -3 -5 -1 11 8 3 1 0 2 20 36 27 9 0 -0 5 11 12 8 6 13 25 19 6 4 5 5 5 4 3 3 4 4 4 4 4 5 4 4 4 3 4 4 4 5 5 5 6 5 5 5 4 4 3 3 3 3 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 4 3 3 3 3 3 4 5 4 4 5 8 11 12 9 5 4 4 4 4 4 4 5 6 6 5 4 3 3 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 5 5 5 4 3 4 4 4 5 6 7 8 8 8 7 7 6 5 4 4 4 4 4 5 5 6 5 4 3 4 7 8 4 3 4 4 4 5 6 6 6 6 5 5 6 6 7 6 7 5 4 2 1 1 2 3 2 1 2 2 2 2 2 3 3 4 4 3 3 4 4 5 7 9 13 14 12 9 6 4 3 3 3 5 6 6 7 8 7 7 6 6 6 7 8 8 9 11 8 5 2 2 2 2 2 4 5 6 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 4 4 4 4 4 4 3 3 3 4 5 6 7 7 7 5 4 4 5 6 6 7 7 7 7 6 5 4 4 4 3 3 3 3 3 2 2 2 2 2 3 4 5 6 8 10 10 9 6 5 4 3 3 3 3 4 4 5 5 5 5 4 3 2 2 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 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 5 4 3 4 5 6 6 8 9 8 10 11 12 14 14 14 10 5 6 9 4 -6 -9 -4 2 7 8 9 9 8 8 8 7 7 8 10 12 14 15 14 12 9 6 2 -3 -1 3 0 3 8 11 11 8 6 2 -1 -1 -4 -3 0 5 8 9 14 19 17 12 11 10 5 -1 -1 7 10 7 3 5 5 3 -2 6 15 11 6 3 3 6 6 3 3 8 11 7 0 4 13 10 4 -2 1 8 11 7 4 4 10 25 31 20 7 1 1 6 10 11 8 7 15 24 17 5 4 5 5 5 4 3 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 3 3 4 5 5 5 5 5 4 3 2 2 3 7 11 11 8 6 5 5 5 4 6 6 6 6 4 3 2 2 3 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 4 3 3 4 4 5 6 6 7 8 8 7 6 6 5 5 4 4 5 4 5 5 5 4 3 3 5 9 8 4 4 5 5 4 4 5 6 7 5 5 4 4 5 6 7 8 8 6 3 1 0 1 3 4 3 2 2 2 2 2 3 4 4 4 4 4 3 4 4 4 7 11 14 14 11 9 7 5 3 2 3 5 5 5 6 7 7 6 6 7 7 8 8 10 11 9 6 6 5 4 4 3 4 5 7 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 4 4 4 3 3 3 2 2 3 3 2 3 5 6 7 6 5 4 4 5 6 7 7 7 7 7 6 5 4 3 3 3 3 3 3 3 3 3 2 2 2 3 5 6 7 8 9 9 8 7 5 3 3 3 3 3 3 4 4 5 5 5 4 3 2 2 1 1 1 1 2 2 2 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 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 10 12 10 14 14 13 14 10 5 0 -0 6 10 6 -2 0 6 7 8 8 8 7 7 7 7 7 8 9 12 13 15 16 16 13 9 4 0 -1 3 4 2 5 9 9 10 9 6 1 -4 -3 -3 -1 5 13 9 7 12 14 11 9 9 8 3 -1 -2 4 11 10 1 2 7 3 0 8 15 14 7 0 -2 4 9 5 2 2 10 13 4 4 12 14 11 6 4 0 11 14 14 15 19 25 23 12 4 0 0 5 8 8 7 8 16 24 17 6 5 5 5 5 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 5 6 6 6 5 5 5 5 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 5 4 4 3 2 2 2 2 3 4 5 5 6 5 5 4 4 3 3 2 1 0 2 5 8 8 8 7 5 5 6 6 6 6 4 3 1 1 1 3 3 3 3 3 4 4 4 5 6 5 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 4 3 3 4 4 5 5 5 6 7 6 6 5 5 5 4 4 5 5 5 4 5 5 3 2 4 6 7 6 5 5 6 5 4 4 5 6 6 6 5 4 4 4 4 5 7 9 8 5 4 3 2 3 4 4 3 3 2 2 3 4 4 4 5 4 4 4 4 3 4 5 7 11 13 12 10 9 8 7 5 4 4 3 4 5 6 7 7 6 6 7 7 8 10 11 10 10 10 9 7 6 6 6 6 7 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 5 5 4 3 2 2 1 2 4 3 2 1 2 4 6 6 5 4 3 4 5 6 7 6 6 7 7 6 4 2 2 2 2 2 3 3 3 3 3 2 2 3 5 8 8 7 6 7 7 6 5 3 2 2 2 2 2 3 3 5 5 6 5 4 3 2 1 1 1 1 1 1 1 2 2 3 4 4 3 3 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 4 5 4 4 4 5 5 4 5 4 4 4 5 6 6 6 10 14 14 15 13 10 11 10 6 2 4 9 9 7 6 8 9 7 7 6 6 6 6 7 7 8 9 11 13 15 17 17 15 12 8 4 2 2 3 5 6 6 6 6 9 10 7 9 9 6 -1 -0 9 13 4 2 7 7 5 5 2 3 5 4 3 4 13 12 2 0 8 9 8 9 12 12 7 0 0 4 5 4 5 6 10 10 6 7 8 6 8 13 10 -4 4 18 23 20 18 16 9 2 2 -1 -2 4 8 8 6 9 17 22 14 6 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 5 5 5 5 4 4 4 3 4 3 3 3 3 2 2 2 3 5 6 6 6 5 4 3 4 3 3 3 3 1 0 0 1 2 4 4 5 5 5 5 5 5 4 2 1 1 1 1 2 3 3 3 3 4 4 5 6 6 6 5 5 5 6 5 5 5 4 4 4 4 4 3 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 5 4 4 3 4 4 5 5 5 4 5 5 4 3 4 5 5 4 5 6 6 5 5 4 3 5 7 7 6 5 4 4 4 4 5 6 6 6 5 6 6 6 6 5 4 3 2 3 4 4 4 4 4 5 4 4 4 4 4 4 4 6 10 11 10 9 9 10 10 8 5 4 4 3 4 6 7 6 6 5 5 7 8 9 11 12 13 11 9 8 7 6 6 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 2 1 2 4 6 5 3 1 0 2 4 5 6 4 3 3 4 6 6 6 5 6 7 7 6 4 2 1 1 1 2 3 3 3 3 3 3 4 7 10 10 8 6 5 5 5 5 4 3 2 2 2 2 2 2 3 5 7 6 5 3 2 2 2 1 1 0 0 1 1 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 6 6 8 13 18 16 12 9 8 11 11 10 10 13 11 5 5 8 8 6 5 5 4 4 5 6 6 7 8 10 12 14 17 20 19 13 9 8 6 4 2 3 7 11 9 6 7 10 8 3 7 11 12 6 7 13 6 -2 1 6 3 0 -2 -4 3 15 14 4 1 10 10 4 3 9 15 17 14 12 9 2 -2 3 7 6 2 3 11 10 7 10 9 3 1 5 12 14 -3 -8 8 26 24 12 3 -5 -4 1 -2 -0 7 9 9 8 8 15 22 15 6 5 6 6 5 4 4 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 3 4 5 5 4 4 3 3 3 3 3 2 3 3 3 3 2 2 3 5 6 6 5 4 2 2 3 3 3 3 3 2 1 1 1 0 0 1 1 2 2 2 2 3 3 1 0 1 1 2 2 3 3 4 5 5 6 6 6 7 6 5 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 2 3 3 3 4 4 3 3 3 4 6 7 6 5 5 6 7 5 4 5 5 4 4 5 6 6 5 4 4 4 5 6 7 6 6 5 4 4 4 5 5 5 5 6 7 8 9 8 7 4 3 3 3 4 4 5 4 4 4 4 4 4 4 3 3 4 7 8 7 8 9 11 13 12 9 6 4 3 4 5 5 5 6 5 4 5 7 8 10 11 11 11 10 9 6 5 5 4 5 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 2 2 2 3 6 7 7 5 3 1 1 3 5 6 5 3 3 4 6 7 6 5 5 6 7 8 7 5 3 1 1 2 2 3 3 4 4 4 5 7 11 12 10 7 6 5 4 4 4 3 2 2 2 2 2 2 3 5 7 8 7 5 3 1 1 1 1 0 0 0 1 1 2 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 4 5 5 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 5 5 7 9 13 17 18 14 8 7 9 10 9 8 15 14 5 0 4 6 5 3 3 3 3 4 5 5 7 8 8 10 13 15 19 22 18 10 7 8 6 4 1 2 6 10 12 11 12 12 7 5 3 6 7 6 11 19 4 -4 5 7 2 2 1 -1 9 23 16 2 -1 4 8 9 11 11 13 14 15 15 8 -1 -5 3 9 6 -1 4 13 9 9 14 7 0 6 8 9 13 4 -8 3 28 22 6 -7 -12 0 6 2 6 10 9 8 8 7 11 23 21 9 6 6 6 5 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 5 4 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 3 3 3 2 2 2 2 3 4 4 3 2 2 3 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 2 2 1 1 0 1 1 1 1 2 2 2 2 2 3 3 3 4 4 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 4 4 4 3 3 2 2 2 2 1 1 1 0 2 2 3 3 3 3 4 6 7 7 7 6 8 10 9 6 5 6 6 5 6 5 6 6 4 4 4 4 6 7 7 7 6 5 5 4 4 5 5 5 5 5 7 8 9 9 8 6 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 8 10 13 15 14 11 5 3 3 3 4 4 4 4 4 4 6 9 9 7 8 9 8 7 5 4 3 3 4 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 2 2 3 4 5 6 7 7 5 4 2 2 4 6 6 4 3 4 6 7 7 7 6 5 6 8 10 9 6 3 2 2 2 3 4 4 4 5 5 7 9 12 12 9 6 4 4 4 3 3 3 3 2 2 3 3 3 5 7 9 9 7 4 2 2 1 1 0 0 0 0 1 1 2 3 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 10 16 17 16 12 8 7 8 9 9 5 4 10 7 -1 -1 3 3 3 3 3 3 3 4 5 7 9 10 9 10 13 15 20 22 16 8 6 7 4 2 3 4 5 6 10 11 13 12 8 5 0 1 2 4 13 19 2 1 9 6 4 10 10 6 15 19 7 -0 1 1 7 15 14 11 9 7 10 12 3 0 -0 3 7 2 -2 4 8 7 12 12 3 3 10 7 7 11 16 7 15 29 18 -5 -17 -9 13 21 17 18 15 9 7 7 6 10 22 23 11 6 6 5 5 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 5 4 4 4 4 4 4 4 3 3 3 3 2 3 4 4 4 3 3 3 1 1 1 3 4 5 5 5 3 1 2 3 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 3 2 2 2 2 3 3 3 4 5 5 5 5 4 4 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 5 5 4 4 5 4 3 3 3 3 2 2 2 2 2 1 -0 -1 -0 0 0 2 3 3 3 4 5 7 7 7 8 9 12 12 7 4 6 8 10 8 6 5 5 5 4 3 3 5 6 7 7 7 6 5 5 5 5 6 6 6 5 5 6 7 8 8 8 7 6 5 4 3 3 3 3 3 4 5 5 5 4 4 3 3 3 4 5 8 11 15 18 16 10 5 3 2 3 3 3 3 3 3 5 6 6 5 4 5 5 5 5 4 2 2 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 2 2 2 3 4 4 4 5 6 6 6 5 4 3 5 6 5 4 4 5 7 7 7 7 6 5 7 9 11 11 7 4 3 3 3 4 4 4 5 5 6 7 9 10 9 7 4 3 2 2 2 3 3 3 3 4 4 4 5 6 9 11 10 6 3 2 1 1 1 0 0 -0 0 0 0 1 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 10 18 18 11 7 7 7 8 8 6 2 4 6 3 -2 1 3 2 2 3 3 3 3 4 6 9 10 12 12 12 13 16 20 20 14 7 4 5 3 1 2 6 6 5 6 6 6 7 7 3 -3 -2 -1 5 17 12 -3 2 7 3 9 21 14 5 8 5 1 6 7 4 10 15 11 9 7 8 10 6 -2 6 10 6 6 1 1 1 -2 3 12 8 3 9 13 9 1 9 23 16 25 29 12 -14 -19 2 22 29 30 27 18 11 8 6 5 10 22 24 13 5 5 5 5 4 5 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 3 3 3 4 5 4 3 4 4 5 5 4 4 4 4 4 3 3 3 3 2 2 3 4 4 3 3 2 1 0 1 3 6 8 8 6 3 2 2 4 6 5 4 4 4 4 4 3 3 4 3 4 4 4 4 5 5 5 5 4 4 4 4 5 5 5 6 6 7 7 6 5 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 4 4 3 2 2 2 3 3 3 3 3 3 2 1 0 0 -1 -0 2 3 2 2 3 5 6 7 8 8 9 13 15 8 2 3 8 11 11 8 7 5 5 4 4 3 4 5 6 7 7 7 6 6 6 6 6 6 6 6 6 5 6 6 7 8 9 8 6 4 3 3 3 3 4 4 5 5 5 4 4 3 3 3 3 3 5 8 14 19 19 15 9 5 3 2 2 2 2 2 2 2 3 4 4 3 3 3 3 4 3 3 2 2 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 2 2 2 3 3 3 3 3 4 6 7 6 4 4 5 5 4 4 4 5 6 7 7 6 5 5 7 10 12 11 8 5 4 3 3 4 4 4 4 5 5 6 7 8 8 6 4 2 1 2 3 4 4 4 4 4 5 5 6 8 11 13 10 5 2 1 1 1 0 0 -1 -1 -1 -0 0 1 2 3 3 4 4 4 5 5 6 5 5 5 4 4 3 3 3 3 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 7 15 18 10 7 7 7 8 8 5 3 7 7 3 -1 1 2 2 2 2 2 2 3 5 7 9 11 12 13 13 13 17 20 18 12 6 4 4 4 -0 2 4 8 10 9 7 5 5 6 4 -0 1 -1 3 12 3 -4 4 5 1 12 26 14 4 -3 -6 7 18 12 7 11 11 6 6 6 8 14 8 0 9 14 8 5 -0 -4 -4 -4 5 9 2 3 10 11 7 2 8 15 13 27 29 9 -12 -10 9 18 22 25 24 16 11 9 6 4 8 20 26 15 5 5 5 5 6 6 4 4 4 4 4 4 5 4 5 5 5 5 5 4 3 4 4 3 3 3 4 4 3 3 3 4 6 6 5 4 3 4 3 3 3 2 2 2 2 3 4 3 3 2 2 1 0 2 5 9 12 12 8 4 3 5 8 8 6 4 4 3 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 7 7 7 7 6 6 5 6 6 6 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 4 4 3 3 3 2 2 3 3 4 4 3 4 4 3 3 3 1 0 2 4 4 3 3 4 5 6 7 7 7 8 11 15 10 3 4 6 8 9 9 9 8 7 5 3 3 3 4 5 6 6 6 5 5 5 5 6 6 6 7 7 6 6 6 6 6 8 7 6 4 3 3 2 3 4 5 5 6 5 5 4 3 3 2 2 4 4 5 10 17 21 20 15 8 5 3 2 1 1 1 1 1 2 3 3 3 2 3 4 5 4 3 2 2 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 2 2 2 2 2 3 2 2 2 6 10 10 6 3 4 5 5 4 4 4 5 6 6 5 5 4 4 6 9 11 10 6 4 2 2 3 4 4 4 4 5 4 4 6 7 7 6 3 2 3 3 4 4 4 4 4 4 5 6 7 10 14 14 9 4 2 1 1 0 -0 -1 -2 -2 -2 -0 0 1 2 2 3 3 3 4 5 5 5 5 5 4 3 3 3 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 11 16 14 10 7 7 9 9 6 6 11 11 4 0 1 1 2 2 2 2 2 3 6 8 9 11 12 13 14 16 20 20 15 9 5 5 5 4 6 5 1 3 5 8 8 8 8 5 3 5 8 7 10 8 -2 -1 4 2 -0 9 14 7 6 1 -0 12 15 8 9 10 5 2 6 5 4 12 10 5 5 10 7 4 3 -0 -0 2 2 -3 -5 1 9 8 1 -0 3 1 9 27 29 10 -6 -1 9 12 13 14 14 11 9 8 5 3 8 22 28 16 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 4 3 3 3 4 3 3 3 4 5 6 5 4 3 3 3 3 2 2 2 2 2 3 3 3 2 2 2 2 1 2 5 11 15 15 12 8 7 9 10 8 6 5 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 6 6 5 5 4 3 3 3 2 2 3 3 4 5 5 5 5 5 4 4 5 3 4 7 8 7 5 5 6 6 7 7 6 6 6 8 11 10 6 6 6 6 6 7 9 11 12 9 5 3 3 3 4 5 5 4 4 3 4 4 5 5 6 7 7 7 7 7 7 6 7 7 5 4 3 3 3 3 4 5 5 6 6 5 5 4 3 2 3 4 3 4 7 13 18 22 19 13 9 6 3 1 1 0 1 1 1 2 3 2 3 3 4 4 3 3 2 2 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 4 3 3 3 3 3 3 3 2 2 5 13 15 9 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 6 9 9 7 3 2 2 3 3 4 4 4 4 4 3 3 5 6 7 6 4 3 3 3 3 3 3 3 4 5 5 6 9 13 16 14 8 3 1 1 1 0 -1 -2 -2 -2 -1 -0 -0 0 1 2 2 3 3 4 5 5 5 4 3 3 3 3 2 3 3 4 4 5 5 5 5 5 5 5 5 5 4 5 6 5 5 5 6 7 8 8 7 6 5 7 17 20 11 8 8 9 8 2 6 14 11 3 0 1 1 2 3 2 2 3 4 7 8 9 12 13 13 15 19 21 16 10 6 5 5 4 4 10 7 5 -1 -0 6 7 5 5 2 2 7 9 9 12 16 13 6 2 -1 -2 2 -2 1 10 14 14 15 10 8 9 6 2 3 8 7 4 8 5 3 6 10 8 6 1 -2 8 19 10 -6 -5 2 5 0 -4 -2 -1 -3 9 23 26 12 0 5 12 12 11 10 8 7 6 6 3 2 10 23 22 9 6 7 6 6 6 5 5 4 4 4 5 5 5 4 4 5 6 5 5 4 4 3 4 4 3 3 3 3 3 3 3 2 3 4 5 4 4 4 3 3 3 3 3 2 3 3 2 2 2 2 2 2 2 2 3 8 14 16 15 12 11 10 8 5 4 5 6 6 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 7 7 8 7 6 6 5 4 4 4 4 4 4 3 3 3 4 5 7 7 6 5 5 5 5 5 4 6 11 12 9 6 6 7 7 6 6 6 5 5 5 7 8 7 7 7 7 5 5 7 11 14 14 10 7 4 3 3 4 3 3 3 2 2 3 3 4 5 5 6 7 8 8 7 7 7 7 6 4 3 3 3 4 5 6 6 6 6 6 5 4 4 4 4 4 3 3 5 9 15 20 19 16 12 10 9 6 3 1 1 1 1 1 2 2 2 3 3 2 2 3 3 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 8 6 5 5 6 6 5 4 4 4 3 3 5 12 15 9 4 3 4 5 5 5 5 4 4 4 3 3 3 3 3 4 6 6 4 1 1 2 3 3 4 5 5 5 4 4 3 3 5 6 7 6 4 3 3 2 2 3 3 3 4 5 6 8 11 15 17 12 6 2 1 1 1 1 -0 -1 -1 -1 -1 -1 -0 1 1 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 6 7 8 8 7 6 5 4 8 22 23 12 9 9 9 5 -1 3 7 5 1 -0 1 2 3 3 3 3 4 6 7 7 12 15 12 12 16 17 15 10 6 4 5 5 3 1 1 8 10 1 -2 5 7 4 2 1 2 4 5 5 6 15 21 15 7 1 -3 -0 -1 3 12 19 17 17 13 10 7 5 4 7 10 10 7 3 -1 -1 9 14 9 3 -6 -7 11 30 18 2 1 3 -4 -7 -1 0 -1 2 11 17 16 10 7 12 16 14 12 9 7 6 7 6 3 3 9 14 10 6 11 13 9 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 4 4 4 3 3 3 4 4 3 2 2 3 4 4 4 4 4 4 3 2 3 3 3 2 2 2 2 2 3 3 2 1 2 5 9 12 13 13 12 9 6 3 3 4 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 8 8 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 6 7 6 7 7 7 6 6 6 5 5 5 8 12 13 9 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 9 14 15 13 10 7 5 4 3 3 2 2 2 2 3 3 3 4 4 5 6 8 8 8 7 7 7 6 6 5 3 3 4 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 6 11 16 18 17 14 13 15 15 11 6 2 2 2 2 1 1 2 1 1 1 2 2 2 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 9 9 9 10 10 10 9 8 6 4 3 5 9 11 8 4 3 3 5 5 5 6 5 5 4 3 4 4 4 3 3 3 3 2 1 1 2 3 3 4 4 5 5 5 5 5 4 4 5 6 6 4 3 2 2 2 3 3 3 4 4 6 7 8 13 17 16 10 5 2 1 2 1 1 1 0 -1 -1 -1 -0 0 1 1 1 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 5 5 6 7 7 7 7 6 5 5 5 12 24 21 12 9 9 7 3 3 5 1 0 -1 -0 1 2 3 3 4 4 5 6 7 10 16 14 10 13 15 13 10 7 5 4 4 5 3 -4 -6 6 12 4 1 5 6 4 2 4 7 7 11 9 -1 -1 7 10 9 4 -1 1 5 6 11 15 10 9 11 7 8 10 9 8 11 12 7 2 0 1 7 10 11 7 -2 -3 13 23 11 4 3 0 -5 -5 1 1 -0 6 12 11 7 7 11 17 18 14 11 8 6 7 8 5 2 3 5 7 7 7 14 22 16 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 3 2 1 2 2 2 2 2 0 1 2 5 7 9 10 10 7 5 3 3 5 6 6 5 4 4 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 5 5 5 5 5 6 7 7 8 9 9 9 8 8 7 7 6 6 6 6 6 6 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 6 4 5 9 12 11 7 6 6 6 5 4 5 5 5 5 5 6 6 6 6 6 7 7 6 7 9 13 15 14 12 10 8 6 4 3 2 1 1 2 3 3 3 4 3 4 5 6 7 8 8 7 7 7 6 5 4 3 4 5 6 6 6 5 6 5 5 5 5 5 5 5 4 4 5 7 11 15 15 14 14 17 21 19 12 6 3 3 3 3 2 1 1 1 1 2 2 2 3 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 11 12 13 13 13 13 10 6 4 5 6 7 6 4 3 4 5 5 6 6 6 6 5 5 4 4 4 4 3 3 2 2 2 2 2 3 3 3 4 4 5 6 6 6 6 5 5 5 6 5 3 2 2 2 3 3 3 3 4 5 6 7 9 14 17 14 9 4 3 2 2 2 1 1 1 0 0 1 1 1 1 1 2 3 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 7 7 7 7 6 5 4 5 7 14 24 20 12 9 8 7 7 14 15 3 -1 -1 0 1 3 3 4 4 5 5 6 10 17 19 11 10 14 14 13 10 7 6 4 2 4 4 1 2 8 11 9 7 5 5 4 2 6 10 13 22 13 -2 -2 2 3 4 3 2 6 8 7 8 8 5 1 -1 -2 9 13 8 7 11 12 7 4 3 7 10 10 12 11 1 -0 9 11 5 5 5 -2 -2 2 5 5 6 11 12 7 2 4 10 18 20 14 10 7 5 7 7 4 2 2 4 5 6 8 14 25 20 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 4 4 5 4 4 3 2 3 4 4 3 2 1 1 2 2 2 2 1 0 1 3 4 6 7 8 7 6 5 6 6 6 7 6 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 7 6 6 6 6 5 5 5 4 5 5 6 7 8 9 9 9 9 8 7 8 7 7 8 8 8 8 10 10 11 11 11 11 11 10 9 8 8 8 8 8 7 7 6 5 6 10 12 8 5 6 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 9 12 14 15 15 14 12 10 6 4 2 1 1 1 2 2 2 3 3 3 4 5 6 7 7 7 6 6 6 5 5 4 5 6 6 6 6 6 6 5 5 5 6 6 5 5 4 4 4 4 8 12 14 14 13 16 22 23 17 10 7 6 5 5 4 3 3 3 3 3 2 3 4 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 10 10 11 11 13 14 14 12 8 7 6 6 5 5 4 3 4 4 5 6 6 6 6 7 7 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 5 6 7 7 6 5 5 5 5 4 3 2 2 3 3 3 2 3 4 5 7 8 10 15 17 13 9 6 4 3 2 2 2 2 2 3 2 2 1 1 1 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 7 8 8 6 5 4 5 6 9 18 25 20 11 7 7 10 12 17 12 1 -1 0 1 1 2 3 4 5 5 6 9 15 20 16 10 10 13 16 17 12 8 7 4 2 3 5 9 11 9 3 6 6 6 4 3 3 7 10 17 25 11 4 9 5 0 1 4 8 11 7 4 3 1 1 -3 -8 -5 5 7 6 8 12 11 7 4 4 9 13 9 7 7 5 1 1 5 4 6 10 3 2 6 10 11 11 12 11 4 1 6 11 17 19 15 10 6 6 7 6 3 1 3 5 5 5 7 14 24 21 9 6 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 3 4 5 5 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 3 3 3 4 3 2 1 2 2 2 2 2 2 1 1 1 3 4 5 5 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 7 8 8 9 9 9 9 9 7 8 8 8 9 10 10 11 12 13 14 15 15 16 15 12 10 9 9 10 10 9 8 7 7 6 6 7 10 11 6 5 4 4 4 4 4 4 4 5 4 4 5 6 6 6 5 5 6 7 7 8 10 13 16 17 17 15 12 8 6 3 2 1 1 1 1 2 3 3 2 3 3 4 5 6 6 6 6 6 5 5 5 6 7 6 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 5 8 11 14 14 15 18 20 18 14 10 10 9 9 8 7 6 5 5 4 4 3 4 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 9 9 11 12 12 11 9 8 7 6 6 5 4 4 4 4 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 4 3 4 4 4 4 3 3 3 4 5 5 6 6 5 5 5 6 6 5 3 3 3 3 2 2 2 3 5 6 7 8 11 14 15 13 10 8 6 4 3 3 3 4 5 4 3 2 1 2 2 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 5 6 7 8 7 6 4 5 7 10 15 25 29 20 9 6 8 11 8 5 -1 -3 -1 0 1 2 2 3 5 5 5 6 11 17 17 10 7 9 11 15 18 13 9 7 4 3 2 2 8 9 7 2 1 3 5 3 2 3 4 9 16 17 8 10 9 3 2 4 7 12 12 5 2 -1 -4 -0 2 -1 -1 1 3 8 12 13 10 5 2 4 10 12 5 -0 2 10 9 -1 -1 4 7 9 7 7 9 9 10 11 10 6 3 6 9 11 15 18 16 12 8 7 7 5 2 2 4 5 5 5 6 12 24 23 10 5 7 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 3 4 4 5 4 4 3 4 4 3 3 2 3 4 4 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 3 2 2 1 1 1 2 4 4 4 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 7 8 9 9 9 9 9 8 8 8 8 10 11 12 13 14 15 15 16 17 18 19 19 16 11 9 9 10 10 9 9 8 7 6 6 7 7 12 10 6 4 4 4 4 4 4 5 5 4 4 4 4 5 6 6 5 4 5 8 7 5 7 11 16 20 18 15 12 9 7 5 3 1 1 2 2 3 4 3 3 2 2 3 3 4 5 5 5 6 6 5 5 6 6 6 5 4 4 5 5 5 5 5 6 6 5 5 4 4 5 5 5 9 12 13 12 13 13 14 13 13 13 13 12 12 11 11 10 8 7 5 4 4 4 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 4 5 6 9 9 10 10 9 9 9 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 3 3 3 3 4 5 5 5 5 5 7 7 6 5 3 3 3 2 2 2 3 4 5 6 6 7 9 12 13 12 11 9 8 6 6 6 7 7 7 5 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 2 3 3 3 3 3 4 4 4 5 6 7 7 7 5 4 6 11 18 27 36 31 17 9 5 3 3 -3 -7 -4 -1 -0 1 2 2 2 4 5 6 6 6 10 15 14 9 6 7 8 9 11 12 9 3 1 4 3 4 6 4 7 10 8 4 2 3 2 2 3 7 11 5 5 10 4 3 6 8 8 9 7 4 2 -0 -0 3 7 5 3 3 4 9 14 14 5 -1 0 4 9 11 6 -0 -1 8 11 1 -2 7 10 7 6 9 11 11 9 8 6 5 8 10 8 10 12 15 16 14 10 8 7 4 1 3 5 6 5 5 6 14 25 23 10 5 6 7 8 7 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 2 3 4 4 5 4 4 4 3 3 3 4 3 3 2 2 2 2 2 3 3 2 2 2 2 2 3 4 4 4 4 4 5 4 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 6 6 7 9 9 9 9 9 9 8 8 8 9 10 12 14 14 15 17 17 17 18 18 19 19 18 14 11 10 9 8 8 8 8 8 7 7 7 8 10 12 8 5 4 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 3 6 7 5 5 8 14 20 19 15 13 10 7 6 4 2 3 4 3 4 6 7 6 4 3 2 1 2 3 4 5 5 5 5 5 5 6 6 4 4 4 4 4 4 4 5 6 6 5 4 4 4 4 4 4 6 8 9 8 9 9 9 9 11 13 13 13 13 14 15 15 13 11 9 6 4 3 4 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 -0 0 2 4 6 7 8 8 9 9 10 9 7 7 6 6 7 8 8 8 7 6 6 6 6 6 6 6 6 7 6 7 7 7 8 8 8 7 7 6 5 4 5 5 5 5 5 5 5 5 5 7 7 6 5 4 4 4 3 3 2 3 4 5 6 6 6 6 7 9 10 10 11 11 11 11 10 9 8 8 6 4 2 2 3 3 3 3 3 3 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 7 7 5 4 6 12 22 31 38 39 25 12 6 -1 -7 -9 -12 -9 -3 -0 1 2 2 2 3 4 6 7 7 6 8 12 13 12 9 7 9 8 6 7 7 1 -0 6 7 10 5 4 6 10 13 9 3 3 2 3 7 8 5 -1 5 9 2 4 6 7 6 4 3 4 4 4 4 6 7 6 7 9 10 10 13 12 3 2 4 4 4 6 4 4 5 6 7 6 5 13 16 11 6 8 12 9 9 4 1 8 18 15 8 9 11 12 14 15 12 9 7 5 3 4 5 6 6 5 9 21 27 18 7 4 5 8 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 4 3 4 4 4 4 4 3 3 3 3 2 2 3 3 2 1 1 2 2 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 8 7 8 7 7 7 7 6 7 6 6 5 5 6 6 6 6 7 8 9 10 9 9 9 9 8 8 9 10 11 13 13 15 16 17 18 18 17 17 17 16 15 14 12 10 9 9 8 8 8 8 8 9 9 9 11 12 9 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 3 4 5 4 4 6 10 16 19 17 14 11 8 6 5 4 5 5 4 4 8 11 12 8 5 3 2 2 2 3 4 5 5 5 5 5 5 5 3 3 3 3 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 8 10 12 12 12 13 14 16 17 15 13 9 6 4 4 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 0 -1 -0 2 3 5 6 7 9 10 11 10 9 8 8 7 8 9 10 10 8 7 6 7 6 6 6 6 5 5 6 6 6 7 7 8 9 9 8 7 5 6 9 10 8 7 6 5 4 4 4 6 6 6 5 4 4 4 4 4 3 2 3 4 5 5 5 5 5 5 7 7 9 11 12 13 13 12 9 8 6 4 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 6 7 7 7 6 4 5 11 23 32 34 31 25 17 9 3 -5 -9 -12 -12 -7 -2 1 2 2 2 3 4 5 7 7 7 7 8 9 13 17 14 10 12 11 7 5 7 4 4 6 11 12 2 4 5 7 9 10 7 4 2 5 10 7 2 5 11 12 5 3 3 2 4 5 4 4 7 8 8 8 8 7 9 16 12 9 13 9 5 12 9 3 2 1 0 5 8 1 3 11 8 7 12 14 8 5 8 7 8 1 -0 11 21 16 9 9 12 12 13 15 14 11 8 6 4 4 5 6 6 7 15 27 24 10 4 3 5 8 8 8 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 2 3 4 4 5 5 4 4 4 3 3 3 3 4 4 4 4 3 3 3 2 3 3 2 1 1 2 3 3 4 4 4 5 4 5 6 6 6 6 6 6 6 7 6 7 8 8 8 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 9 9 9 8 8 8 9 8 9 10 12 13 14 14 14 15 17 17 16 15 15 13 11 9 9 9 9 9 9 9 8 9 9 9 10 11 12 12 9 4 4 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 6 6 5 4 5 7 2 0 4 7 12 18 19 16 13 11 7 5 6 5 4 3 4 9 13 15 13 8 5 5 3 2 2 3 5 5 6 6 6 5 4 3 3 3 3 3 2 3 3 5 6 6 4 4 4 4 4 5 4 4 4 5 5 6 5 6 7 8 10 10 10 11 12 14 16 17 16 14 10 6 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 2 1 1 2 3 4 5 7 9 11 11 11 9 9 9 9 10 10 11 11 10 8 8 7 7 7 6 5 4 5 5 6 6 7 8 8 8 8 6 6 8 13 15 12 9 7 6 5 4 4 5 6 5 4 4 4 4 5 4 4 3 3 4 5 5 5 4 4 5 5 6 7 8 10 13 14 13 10 6 5 4 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 4 5 7 8 8 7 5 4 9 18 28 31 27 15 7 5 6 6 1 -4 -10 -9 -4 1 3 3 2 2 3 4 6 7 7 7 7 7 10 17 21 16 10 13 14 10 7 8 8 5 4 10 9 5 4 5 5 5 10 8 4 1 5 8 4 5 14 14 8 9 3 -1 -0 5 7 4 5 9 11 11 11 10 8 8 12 3 5 16 7 7 12 9 5 5 4 2 4 7 3 2 8 8 4 6 13 11 5 4 14 9 4 8 15 16 11 8 9 11 13 13 15 16 12 8 4 3 3 4 5 7 10 21 28 19 7 3 4 6 7 8 8 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 6 5 4 3 2 2 3 3 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 2 3 2 1 1 2 2 3 4 4 4 4 5 5 5 6 6 7 6 6 6 6 7 7 7 7 8 7 7 7 7 7 7 6 6 5 6 6 6 7 7 8 8 9 9 9 8 7 7 8 9 9 9 10 12 13 14 14 13 13 13 14 13 13 13 12 11 8 4 3 5 8 9 8 8 8 8 8 9 10 11 12 12 6 0 2 5 5 5 4 5 5 5 6 4 3 4 4 4 3 4 6 7 6 5 5 9 3 -2 3 5 9 14 17 18 16 15 11 8 7 7 5 4 6 10 13 15 14 9 7 6 4 1 1 4 4 4 5 6 6 6 5 5 3 3 3 3 2 2 2 4 5 6 5 5 4 4 4 4 5 4 4 5 5 6 5 6 6 7 7 7 8 8 9 11 14 15 16 16 14 10 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 4 2 2 2 3 4 5 9 10 11 11 10 10 10 9 10 12 14 13 10 8 7 7 7 7 5 4 5 5 5 6 6 7 7 7 6 5 5 9 13 14 11 7 7 7 6 5 6 6 7 6 4 4 4 5 6 5 4 3 3 4 4 4 4 4 5 5 5 6 6 7 8 10 12 12 10 7 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 7 9 9 9 7 5 7 13 18 20 25 24 15 3 2 11 14 7 -4 -12 -8 -1 3 3 2 2 2 4 6 7 7 8 8 8 9 15 21 20 14 10 12 13 12 9 7 7 7 6 6 6 10 9 12 3 1 5 5 1 -0 4 8 4 6 9 7 4 8 3 -3 -1 6 8 4 5 9 11 10 11 11 9 6 7 0 2 10 3 8 7 8 7 6 8 7 4 6 8 7 5 4 6 7 13 11 6 5 11 7 10 17 16 11 8 7 8 9 11 13 15 15 12 6 2 1 2 4 5 7 14 25 27 15 4 4 5 6 7 8 7 7 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 3 2 2 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 2 2 2 2 2 3 4 4 5 4 4 5 5 5 6 6 7 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 7 7 8 9 9 9 9 8 7 6 6 8 9 10 10 11 13 14 13 13 12 12 12 10 10 10 9 9 9 8 5 1 4 7 7 7 7 6 5 7 8 8 9 11 12 8 1 1 5 6 6 6 5 6 7 8 7 5 3 3 3 2 0 3 6 7 7 6 5 4 1 3 4 7 9 12 14 17 17 16 14 12 11 10 8 8 10 11 11 12 10 9 7 6 4 3 4 5 4 4 6 6 6 7 6 6 5 4 3 2 1 1 2 4 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 7 9 11 12 14 15 15 13 13 14 14 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 11 11 8 4 2 1 1 1 3 5 8 9 10 10 10 9 9 9 12 14 12 7 5 6 7 7 6 6 5 4 4 5 5 6 6 6 6 6 5 5 7 8 9 6 5 6 7 7 7 8 8 8 7 5 3 4 6 7 7 5 3 3 3 4 4 4 4 5 5 5 5 6 7 7 8 9 9 9 8 7 7 7 8 8 7 6 5 5 4 3 3 3 3 3 3 2 2 3 2 3 3 3 4 4 4 5 7 9 11 13 12 8 8 11 12 9 11 20 25 21 11 9 14 11 0 -10 -13 -6 2 2 1 1 2 3 5 7 8 8 9 12 14 14 18 19 15 14 11 9 10 11 9 6 8 11 9 5 4 2 3 5 -3 -0 2 2 -1 -1 4 5 2 3 5 7 9 6 2 -2 -2 3 6 5 4 6 8 9 9 11 10 7 10 8 4 1 -0 5 2 4 3 3 9 9 6 5 7 9 6 3 5 9 16 11 4 8 2 3 15 17 13 8 6 7 9 10 10 11 12 11 9 5 3 2 4 5 6 7 14 26 26 12 3 5 6 6 7 7 7 7 7 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 2 3 4 5 5 5 5 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 4 5 5 4 4 4 4 4 5 6 6 7 6 6 6 6 7 7 7 7 6 6 7 6 6 5 5 5 5 6 7 7 8 8 9 9 9 8 7 6 6 7 8 9 9 11 12 14 13 12 11 11 11 10 9 8 7 6 6 6 7 9 7 5 6 5 6 6 5 5 6 9 8 7 8 10 8 4 3 5 6 7 6 7 7 7 7 9 9 8 6 5 4 2 2 5 8 8 8 5 2 2 2 4 5 6 7 10 12 14 15 15 16 14 13 11 9 7 7 8 9 9 10 10 10 8 6 6 6 5 5 6 5 6 7 8 9 9 7 4 2 1 0 1 3 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 11 13 14 14 14 15 19 22 18 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 11 12 10 6 3 1 1 0 1 2 5 7 8 9 9 9 9 9 11 12 9 5 4 4 5 5 6 6 5 5 4 4 5 5 5 6 6 6 5 5 4 4 4 5 6 6 7 7 8 9 9 8 6 5 4 4 6 8 8 6 4 4 3 4 4 4 4 4 5 5 5 6 6 6 7 7 8 8 8 7 7 8 9 9 8 7 7 6 5 4 3 3 2 2 2 2 2 2 3 2 3 3 4 4 4 6 10 14 17 18 15 8 6 11 10 5 8 15 20 18 15 9 3 -8 -14 -14 -9 -2 1 1 0 1 3 5 6 7 7 8 12 17 17 13 13 14 13 17 12 7 9 9 9 9 10 10 6 4 1 -3 3 6 -0 -1 2 5 4 3 6 1 -1 1 3 5 6 4 5 3 -1 1 6 6 2 4 9 10 13 14 10 8 13 15 6 -2 4 10 3 -1 -1 4 10 8 6 8 10 10 6 0 2 10 14 11 6 5 -2 6 20 18 12 8 6 7 10 11 10 10 9 7 4 4 5 5 6 8 6 5 12 25 28 13 4 6 7 7 7 7 7 7 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 4 3 2 2 3 4 6 6 6 5 6 6 5 5 5 4 4 4 3 3 3 4 4 4 4 3 3 3 5 5 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 6 7 7 7 8 9 9 8 7 7 5 5 6 7 8 9 10 11 13 13 12 10 10 11 10 10 9 8 6 4 2 0 1 6 9 6 6 5 5 5 5 4 5 10 11 8 7 9 7 5 4 5 6 6 6 7 7 7 7 7 8 9 10 8 7 6 5 5 7 8 8 7 4 3 2 3 4 5 6 7 7 8 8 10 12 12 10 9 8 7 6 7 8 9 10 11 11 11 10 10 9 7 7 7 7 7 8 10 12 14 12 7 3 1 -0 0 2 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 10 10 11 13 12 12 18 24 21 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 8 10 9 7 4 3 2 1 1 1 3 5 6 7 8 9 9 9 11 11 9 6 5 4 4 5 6 8 8 6 5 5 4 4 5 5 6 6 5 4 4 3 3 5 6 7 6 6 8 8 9 8 6 4 4 4 6 8 9 8 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 7 6 5 4 3 2 1 1 2 3 3 3 3 3 3 4 4 4 6 11 16 19 18 15 12 5 2 8 9 3 5 10 12 10 9 -1 -16 -24 -19 -10 -3 -1 -1 -1 1 3 4 6 6 7 9 12 17 19 14 8 9 10 12 13 7 5 9 7 10 11 7 5 8 12 7 4 9 11 7 2 5 8 6 6 12 5 -2 -2 -1 -1 -2 4 8 7 2 2 5 4 2 5 10 12 20 21 13 9 12 13 5 1 13 16 9 4 3 8 11 6 4 8 9 6 -1 -6 -0 11 7 7 9 10 6 10 19 18 12 9 8 8 9 10 11 11 8 4 3 3 6 8 9 10 8 4 9 23 29 15 6 7 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 2 4 6 7 7 6 5 6 6 6 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 7 7 6 6 5 5 5 5 5 6 6 6 7 7 8 8 8 7 5 5 5 6 7 7 8 9 10 12 13 12 11 9 9 9 9 10 9 8 6 4 2 -4 -5 0 5 6 5 5 5 5 4 1 0 5 10 10 7 7 5 4 4 6 5 5 6 6 7 7 7 7 7 7 9 8 7 6 5 6 6 7 7 8 6 4 3 2 3 4 5 5 6 5 5 5 5 6 6 7 7 8 8 7 7 8 9 11 12 11 11 12 14 13 11 10 8 7 9 10 14 16 15 11 6 3 0 1 2 2 3 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 6 8 9 10 11 12 11 11 14 16 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 7 6 6 6 7 8 10 10 9 8 8 8 8 6 4 3 3 2 2 3 3 4 5 8 9 9 9 8 9 10 9 5 3 6 8 7 6 6 6 6 5 4 4 5 5 5 5 4 4 4 4 5 6 8 8 7 6 5 5 7 7 7 6 4 3 3 4 4 5 4 4 5 6 7 6 5 4 3 3 4 4 5 6 7 7 6 5 5 4 5 6 6 6 6 6 6 6 5 6 6 7 12 22 26 19 10 4 -1 -0 6 10 7 -4 -8 13 22 23 12 -2 -10 -14 -18 -17 -11 -6 -1 4 9 11 13 13 13 12 14 21 21 14 11 12 12 10 9 9 6 10 12 8 8 10 6 7 10 9 5 4 6 6 7 5 3 3 6 7 8 7 7 11 7 5 5 6 10 10 9 8 7 7 7 4 1 0 3 10 11 -1 3 13 13 7 2 6 11 12 11 10 3 -4 12 16 5 3 7 5 4 6 4 5 8 12 14 16 17 16 12 10 8 6 6 6 6 7 6 7 8 8 6 2 0 1 4 5 4 4 4 6 10 16 24 23 13 7 8 8 7 7 7 7 6 6 5 5 5 5 6 6 6 6 5 5 5 6 5 5 5 5 4 4 4 5 5 5 6 7 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 7 6 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 8 11 14 12 9 6 4 4 4 3 2 1 2 3 8 10 6 5 6 6 6 6 6 5 5 5 5 5 5 5 4 2 0 3 6 7 7 7 8 7 7 7 7 6 7 7 7 7 7 7 7 8 8 7 7 6 6 7 7 7 7 6 5 5 5 5 6 7 7 7 7 6 6 6 7 8 7 6 6 4 3 3 6 7 8 9 11 15 16 14 12 11 10 9 8 8 10 10 9 10 12 15 18 19 17 14 12 11 10 8 7 6 5 5 5 5 5 5 6 6 6 5 4 3 3 4 5 5 5 4 4 4 6 8 7 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 6 8 10 11 12 11 10 10 11 11 9 6 4 3 4 3 3 3 3 4 5 7 9 9 10 10 11 9 6 3 2 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 7 8 9 8 7 6 5 5 6 6 6 5 3 3 4 4 5 5 4 4 6 6 6 6 5 4 4 4 4 6 6 6 6 6 5 5 5 6 7 7 8 8 7 6 6 6 6 8 14 21 20 12 5 1 -3 -4 3 13 13 5 -5 -6 4 6 -0 -4 -20 -27 -26 -21 -12 -4 1 7 12 14 14 14 14 15 14 17 21 16 11 12 15 16 10 6 5 5 11 13 8 7 8 4 5 10 10 6 5 6 3 2 4 6 5 8 10 10 9 9 10 10 9 8 8 10 10 9 8 8 7 5 5 3 -1 1 8 10 6 5 9 17 9 2 9 15 14 13 10 2 1 16 16 4 -3 -0 0 1 4 4 6 8 9 11 13 12 11 12 12 10 7 6 6 7 7 5 6 7 9 8 4 1 0 4 5 4 3 3 4 7 14 26 27 14 5 6 7 8 7 6 6 6 6 5 4 4 5 6 6 7 7 6 5 6 6 5 4 4 5 4 4 4 5 5 6 6 6 7 6 6 5 5 5 6 5 5 4 5 5 5 4 5 5 5 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 5 5 6 6 7 7 6 6 5 5 5 4 4 4 4 4 4 4 5 5 6 5 6 8 11 14 13 10 6 5 4 4 4 2 0 -0 -3 3 9 7 5 5 6 6 6 6 6 5 5 5 5 4 4 5 3 1 4 6 7 7 8 8 8 8 7 6 6 6 6 7 6 6 6 7 7 8 7 7 7 7 7 7 8 8 7 7 5 5 5 6 7 7 7 7 7 6 6 6 7 8 7 7 6 4 3 5 6 6 6 7 8 9 12 13 13 12 11 9 9 10 10 10 10 11 14 17 18 17 14 13 15 15 12 10 9 7 6 5 5 5 5 6 7 7 6 5 4 3 2 3 5 5 4 4 4 5 7 7 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 5 6 8 10 11 11 10 10 11 12 10 8 6 6 6 6 5 4 4 4 4 6 7 9 10 11 11 10 8 5 2 2 4 5 4 4 4 4 4 5 5 5 5 5 4 3 5 6 6 8 10 10 10 8 6 5 5 5 6 6 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 7 7 7 8 8 7 6 6 6 9 13 13 6 -2 -6 -10 -8 5 14 18 13 5 -0 -3 -6 3 -2 -12 -22 -20 -15 -7 1 7 12 15 15 14 13 14 17 20 18 19 19 13 8 8 11 12 8 3 2 6 14 12 8 8 12 9 6 5 6 7 8 6 4 3 5 6 4 8 9 5 6 7 7 10 11 10 13 13 10 7 7 6 4 1 3 4 3 6 6 4 6 10 14 18 5 3 14 17 15 14 11 6 11 17 12 5 -1 -2 -3 -2 2 5 7 7 8 10 10 8 6 10 13 12 10 8 7 7 6 5 5 8 10 10 7 3 1 3 4 4 3 2 3 7 16 28 27 13 3 3 7 9 7 6 6 5 5 5 4 4 4 5 6 7 7 7 6 6 6 6 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 4 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 5 5 6 6 7 7 5 6 5 4 4 4 4 4 3 3 4 4 4 5 4 4 6 8 11 14 14 11 7 5 5 5 4 2 1 1 -2 -0 5 6 5 5 5 5 5 6 6 5 5 5 5 5 3 4 5 5 6 7 7 8 9 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 6 5 5 6 7 7 7 7 7 7 6 7 8 8 8 8 7 5 5 5 5 5 5 6 6 6 7 9 11 11 10 10 9 9 9 10 10 12 14 16 17 15 13 13 14 15 15 14 11 10 8 7 6 5 5 6 7 7 7 6 5 4 2 2 3 4 3 4 4 4 5 6 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 7 5 4 5 6 7 9 9 9 10 11 10 8 7 7 8 9 8 7 5 5 5 5 6 7 8 9 10 10 9 6 4 3 4 4 4 4 3 4 4 5 6 6 5 4 4 3 3 5 7 8 9 10 10 9 7 5 5 5 5 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 5 6 7 6 6 6 5 5 6 7 7 7 6 7 10 10 8 3 1 0 -3 -5 4 13 14 13 8 7 4 -2 -3 6 6 -3 2 7 10 12 14 16 17 16 13 12 13 16 21 22 19 18 16 11 8 6 5 8 10 7 2 5 12 10 7 7 13 13 7 2 1 6 8 6 5 5 5 6 8 7 2 -4 -1 1 4 8 9 10 15 14 10 6 6 6 4 1 3 4 8 12 4 -0 7 16 19 15 3 7 17 18 17 8 2 6 14 14 6 3 5 1 2 4 6 7 6 6 8 10 9 5 4 7 11 12 10 10 8 6 5 4 5 9 11 11 9 6 3 2 3 3 2 2 4 8 17 24 21 14 7 4 5 7 7 5 5 4 4 5 4 4 5 6 6 6 6 6 7 8 8 6 5 4 4 4 5 6 6 6 6 5 5 4 4 4 5 6 6 6 6 4 4 5 5 5 5 5 5 6 6 6 5 4 4 5 5 5 5 5 4 5 4 5 5 5 4 5 5 5 5 6 6 5 6 6 6 6 7 7 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 7 10 14 15 12 7 4 4 5 4 2 3 6 6 4 4 5 6 5 5 5 5 5 5 6 6 5 6 5 3 3 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 6 6 7 8 9 9 9 8 7 6 5 4 5 5 5 5 4 4 4 5 7 7 8 8 7 7 7 8 8 10 12 15 15 13 12 12 13 15 15 15 14 12 10 9 8 7 6 6 6 6 7 6 6 5 3 2 2 3 4 4 4 3 3 3 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 9 6 4 4 4 5 6 7 8 9 9 8 7 7 7 8 10 10 9 8 7 6 5 5 6 7 8 8 8 8 7 6 5 5 5 4 4 4 4 5 5 6 6 6 5 4 3 4 5 7 8 9 9 9 9 7 5 5 6 5 5 5 6 5 5 6 6 5 5 4 5 6 6 5 5 5 5 6 6 5 5 5 7 9 8 7 6 5 4 3 4 5 6 7 7 12 16 13 7 5 5 7 7 7 11 10 7 5 3 7 7 5 6 9 9 10 20 25 24 22 22 18 14 11 9 10 15 19 19 14 12 12 10 10 9 7 7 12 15 11 6 4 5 4 5 5 8 9 10 9 6 7 6 4 6 7 5 6 8 1 -1 0 -1 0 4 5 6 8 13 14 11 8 6 8 7 5 4 4 10 13 6 3 10 16 17 12 3 5 10 15 19 4 -3 4 9 7 2 3 5 3 9 13 10 9 6 6 8 9 10 7 4 6 10 10 9 9 8 7 6 4 5 8 10 10 10 8 5 3 2 2 1 2 4 8 12 16 17 19 15 8 6 6 6 5 4 4 4 4 4 4 5 6 6 6 5 5 7 9 9 7 5 4 4 5 6 6 6 6 6 5 4 4 4 4 5 6 7 6 5 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 5 5 4 5 5 4 4 5 5 5 4 5 5 5 5 6 6 5 5 5 6 6 7 6 5 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 5 7 10 14 15 13 9 5 3 3 2 3 6 10 11 6 5 6 6 5 5 5 4 4 5 5 5 6 7 6 4 3 5 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 6 5 6 8 10 10 10 8 6 5 4 4 5 4 4 5 5 3 2 2 3 4 5 5 5 5 4 5 6 7 7 9 11 10 10 11 13 14 15 16 16 15 14 13 11 10 8 6 6 6 6 6 6 6 4 3 2 3 4 4 4 4 3 3 3 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 13 12 9 7 5 5 5 4 5 6 6 7 7 7 6 7 8 9 9 9 9 8 7 6 6 5 6 7 7 7 7 8 7 6 6 5 4 4 4 4 5 5 6 6 6 5 4 4 4 5 7 8 9 8 8 7 6 5 5 5 5 5 6 6 7 7 7 6 6 5 4 4 5 5 5 5 5 5 6 6 6 5 5 8 10 10 8 6 5 4 4 4 5 7 7 7 10 7 3 4 6 7 8 8 8 8 9 6 0 3 11 11 8 7 6 8 15 24 28 26 21 16 10 6 5 7 12 18 18 12 8 8 8 7 9 9 8 12 18 19 11 5 3 3 2 2 5 5 5 12 16 12 10 5 4 7 6 6 10 9 1 2 5 2 4 4 2 3 5 9 11 9 9 7 8 7 6 2 1 8 10 7 5 8 13 15 12 6 4 3 11 16 8 9 10 4 -1 -2 3 7 6 9 11 10 8 6 7 8 11 13 11 9 10 12 9 8 7 7 10 10 7 5 7 9 9 9 9 8 5 2 1 1 2 4 6 8 10 15 20 18 16 13 8 5 4 4 3 3 3 3 4 6 7 7 5 4 4 7 10 10 7 5 4 5 6 7 6 6 6 6 5 4 3 4 5 5 6 7 7 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 9 13 16 15 10 5 3 2 2 4 6 9 9 6 6 7 6 5 4 4 4 4 4 4 4 5 6 6 4 4 6 8 8 8 8 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 6 5 6 9 11 12 11 8 5 4 3 3 4 5 5 5 6 5 3 2 3 4 4 5 4 4 3 3 4 3 3 6 7 6 7 8 10 11 13 15 17 18 18 16 15 13 11 9 7 6 5 6 6 6 5 4 3 3 4 4 4 4 4 3 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 14 14 13 11 9 8 7 6 5 5 5 5 6 6 6 6 7 7 8 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 7 5 4 4 4 4 6 6 6 6 6 6 5 6 5 6 7 8 9 8 6 6 5 4 4 4 5 5 6 7 8 9 9 7 5 4 4 4 4 4 5 5 5 6 7 7 6 4 5 7 10 11 9 7 5 5 5 6 7 7 7 7 5 -2 -1 5 6 6 6 6 5 8 13 6 -2 7 19 18 8 4 9 14 19 22 19 12 6 2 1 3 7 13 18 18 12 8 8 9 8 9 11 10 8 13 19 17 7 5 6 6 3 0 4 5 8 12 13 14 14 10 9 11 9 9 10 8 5 4 5 6 5 5 3 1 2 9 13 9 8 11 10 6 4 -2 -1 4 7 5 3 2 7 11 12 9 4 4 11 8 9 14 11 1 -3 -1 5 10 10 9 7 7 5 4 6 9 12 14 13 12 12 11 7 6 5 7 11 13 10 8 8 9 7 6 8 10 9 4 1 2 3 4 5 6 8 10 13 17 23 21 11 7 6 4 3 3 2 2 4 6 7 7 4 3 4 8 11 10 7 5 5 6 7 7 7 6 6 6 6 4 4 5 5 5 6 8 7 6 7 8 7 5 5 5 5 5 5 6 5 4 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 8 12 16 16 12 6 2 2 2 5 6 7 7 6 6 6 5 4 3 4 4 4 4 4 4 5 5 4 1 3 7 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 8 9 8 9 9 10 10 9 9 9 9 6 6 7 8 9 10 11 10 8 6 5 3 3 4 5 5 5 6 7 6 5 4 4 5 5 5 4 4 4 3 3 2 4 5 5 6 6 7 8 10 13 16 18 19 19 18 15 14 13 10 7 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 13 15 15 15 14 14 13 11 9 7 6 5 5 5 5 6 6 6 6 7 8 8 9 9 8 7 6 6 6 7 7 8 9 9 8 7 5 5 5 5 6 8 8 7 6 6 6 6 6 6 6 7 8 8 7 6 5 4 4 4 5 5 6 7 9 11 11 8 6 4 4 4 4 4 5 5 6 6 7 6 5 4 4 6 9 10 9 7 5 5 6 7 8 8 8 8 7 7 8 8 7 5 5 5 4 8 10 4 -0 10 27 31 22 12 14 15 12 7 -0 -6 -6 -4 0 7 15 20 19 14 7 5 7 8 9 10 13 13 12 12 15 13 5 4 7 6 6 5 6 6 10 8 4 9 12 12 11 11 10 12 10 7 5 4 5 5 3 9 7 2 5 14 18 13 11 14 9 3 -0 -1 1 4 6 5 2 1 6 7 8 7 3 10 14 6 5 9 9 4 0 4 7 10 14 12 8 6 2 1 5 9 11 13 14 11 7 6 6 6 7 7 9 12 12 10 9 10 9 6 5 7 10 9 6 5 3 3 4 5 6 6 8 14 22 21 12 13 14 6 3 2 2 2 4 6 7 6 4 3 4 8 11 10 7 4 4 6 7 7 6 6 6 6 6 5 5 6 6 4 5 7 6 6 9 11 9 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 6 8 11 14 15 12 7 3 2 2 4 5 7 9 7 5 5 4 4 4 4 4 4 4 4 3 4 4 2 -3 1 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 10 9 9 10 10 8 7 8 8 8 7 8 9 9 9 8 6 5 5 5 5 5 5 7 8 8 6 5 5 5 6 6 5 4 5 5 4 3 3 4 4 5 5 6 7 8 10 13 15 18 19 18 17 17 15 13 11 9 7 7 7 6 6 5 5 5 5 4 4 4 4 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 17 14 9 8 3 2 8 17 21 16 14 14 14 9 6 5 8 12 13 17 20 19 14 13 10 13 14 14 16 17 12 1 2 3 0 6 11 13 10 6 3 15 16 13 14 16 17 15 15 15 13 11 10 8 9 11 13 14 14 14 14 18 23 24 21 15 10 9 11 15 15 13 10 8 7 8 9 8 9 14 19 19 17 12 8 8 9 9 9 9 10 11 11 11 11 10 8 9 11 11 11 10 10 12 12 10 10 11 11 10 10 12 13 13 12 11 11 12 12 13 15 15 14 12 12 12 12 11 11 11 11 11 11 11 11 11 13 13 14 13 14 15 13 10 9 8 9 12 18 20 18 13 12 16 17 17 16 15 13 11 12 13 14 13 13 12 12 14 13 13 13 14 14 13 13 13 13 12 11 11 11 11 12 11 11 11 12 13 14 13 12 11 12 13 14 15 14 13 12 12 13 13 13 13 13 12 11 12 13 13 12 11 12 14 18 18 15 15 14 14 14 15 15 14 14 14 15 15 16 16 16 15 14 15 15 16 17 18 17 16 15 15 15 15 14 12 11 11 15 18 16 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 16 16 15 13 13 13 13 12 11 10 9 9 9 10 10 11 11 11 10 11 11 12 12 11 11 10 11 11 10 11 10 10 10 11 10 10 11 11 12 13 14 16 18 17 15 13 11 10 10 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 11 12 12 12 13 12 12 12 11 12 11 11 11 11 11 11 11 11 11 12 11 11 10 11 14 17 17 16 15 14 14 15 15 13 12 11 10 11 11 12 12 13 13 14 14 14 14 14 15 16 15 12 10 11 13 15 15 14 13 13 12 13 13 10 5 2 3 10 16 21 23 21 17 13 11 11 12 11 11 12 12 12 11 12 13 13 13 13 14 13 13 13 14 15 16 15 14 14 13 13 14 14 15 16 16 16 16 16 17 17 16 15 15 15 15 15 15 14 13 13 13 14 14 14 14 14 15 15 16 16 17 17 15 14 14 13 12 11 12 13 13 nan
nan nan nan nan nan nan nan 17 20 16 13 9 9 11 14 12 8 8 13 18 20 21 17 12 9 11 13 18 19 15 13 8 3 0 -0 3 10 13 14 10 4 5 11 14 15 14 13 11 12 15 15 14 14 13 12 13 15 16 16 14 14 15 17 20 23 24 22 19 16 14 14 12 11 10 9 9 9 9 8 7 10 16 21 21 17 9 4 6 8 10 11 11 10 11 11 11 10 10 8 8 8 8 10 11 12 11 9 10 12 13 12 12 12 12 12 12 10 11 12 13 13 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 14 16 14 11 11 12 13 14 15 14 13 12 14 16 16 16 16 14 11 11 12 13 15 15 13 11 10 11 12 14 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 12 14 14 14 13 12 12 14 15 15 14 13 13 12 13 13 13 12 12 12 12 13 13 12 10 9 8 11 19 21 17 16 15 15 15 15 14 14 14 14 13 13 15 16 17 16 15 15 15 15 16 18 18 17 15 15 17 16 16 14 11 10 13 16 14 14 15 15 17 19 20 21 18 15 14 14 14 15 14 14 15 14 14 15 15 15 15 15 15 14 14 14 13 12 11 10 10 10 10 11 11 11 10 10 10 11 11 12 11 11 11 11 11 12 11 10 10 10 10 10 10 11 11 11 12 13 14 14 14 12 10 9 9 9 9 9 10 10 9 9 10 10 9 9 9 9 10 10 10 11 11 11 12 12 12 11 10 10 10 11 11 11 11 11 11 12 13 12 12 12 11 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 10 12 15 15 14 14 14 15 15 15 13 11 10 8 10 11 12 12 13 13 12 13 13 13 13 14 14 15 14 13 14 18 21 20 16 14 13 13 12 12 12 10 9 9 15 22 27 25 19 16 14 13 11 12 12 11 11 11 12 13 12 13 13 14 14 14 14 13 12 13 15 16 16 15 13 13 13 13 15 15 15 15 15 16 19 19 18 16 12 11 14 15 15 14 14 13 13 14 14 14 15 15 15 14 14 15 15 16 16 16 15 13 13 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 11 9 8 13 17 18 17 15 12 12 9 13 21 17 11 9 10 10 9 7 8 11 18 19 17 11 8 5 8 11 13 13 13 14 14 12 14 15 13 12 12 14 17 19 18 18 16 16 14 13 16 20 22 20 17 14 13 11 9 9 10 10 9 7 6 7 10 14 18 17 12 6 4 8 11 12 12 11 12 13 13 12 13 11 9 8 9 10 11 11 9 7 10 12 12 12 13 12 12 12 12 11 11 12 13 13 14 14 14 13 12 12 10 11 11 11 11 11 12 12 12 11 12 12 13 13 15 16 13 12 14 14 13 12 10 11 12 13 15 16 15 15 14 13 12 12 12 13 15 16 14 12 10 10 11 12 13 13 13 12 12 13 12 13 12 11 11 11 11 11 10 11 13 14 14 14 12 9 7 9 16 25 25 18 14 12 12 13 12 12 11 12 12 13 14 13 12 11 8 8 14 17 15 15 15 16 16 15 14 14 14 14 13 13 12 14 17 18 17 15 14 13 14 16 17 17 14 14 15 15 16 18 18 15 14 15 15 15 15 14 12 15 19 22 20 17 15 14 14 14 14 15 15 14 14 14 14 15 15 15 15 15 15 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 12 11 11 11 12 11 11 11 11 11 11 11 12 13 14 17 16 13 11 10 9 9 10 10 10 9 10 10 9 9 9 10 10 9 10 10 10 10 10 10 11 11 12 12 11 10 10 10 10 10 10 11 11 11 12 13 13 12 12 11 11 10 9 9 10 11 11 11 11 10 10 11 11 11 11 11 11 13 14 14 12 13 15 15 13 10 8 5 4 7 11 12 12 12 12 13 13 13 13 12 13 12 13 15 16 18 20 21 22 19 15 14 13 12 12 12 12 13 13 14 17 20 20 16 14 12 12 12 12 13 13 12 12 13 13 14 14 14 13 14 14 13 13 13 13 13 15 16 16 14 13 14 15 15 15 15 15 15 16 16 20 21 18 14 10 10 13 14 14 14 14 14 14 14 13 13 14 16 15 15 15 15 15 16 15 15 14 13 13 13 12 11 12 12 12 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 8 17 20 16 8 7 11 21 20 11 9 10 15 17 15 10 8 6 5 8 11 13 15 15 13 8 12 14 11 9 11 14 18 20 20 16 13 9 7 7 11 15 18 17 14 12 11 10 9 9 10 10 9 8 7 7 9 10 13 15 16 9 6 9 11 12 12 12 13 14 14 14 14 13 13 12 10 10 10 10 8 7 9 10 11 11 12 12 11 11 11 12 12 12 12 13 13 14 13 13 12 12 11 11 11 11 12 12 13 13 13 12 11 12 13 13 14 15 13 13 14 14 13 11 9 10 12 13 14 15 15 13 12 13 13 13 13 14 14 15 15 13 11 11 11 11 12 12 12 12 12 12 12 13 13 12 11 11 11 10 11 11 12 13 13 13 12 9 3 1 5 18 30 30 25 18 13 12 13 12 12 11 11 13 13 14 13 13 12 11 11 12 12 14 15 15 15 15 15 15 15 14 14 13 12 13 15 18 18 16 14 12 12 13 15 17 16 15 13 12 11 17 22 18 15 15 16 16 15 12 5 3 7 13 18 19 18 17 16 15 15 16 15 15 15 15 15 15 16 16 16 16 15 14 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 11 11 12 12 11 11 11 11 12 12 13 15 16 17 16 14 12 10 9 9 10 10 10 10 10 10 9 9 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 12 12 13 13 13 12 12 10 9 9 8 9 10 10 10 10 11 11 11 11 12 12 12 12 13 14 13 14 14 14 11 7 5 4 6 7 10 12 12 13 12 12 12 13 13 12 12 12 12 13 15 19 22 22 18 16 13 13 14 13 13 12 12 12 12 12 11 12 13 12 12 12 13 13 13 13 13 13 12 12 13 13 13 13 14 13 14 13 12 12 13 14 15 16 16 15 15 14 13 15 15 15 15 14 14 15 17 20 21 17 12 10 12 13 13 13 13 14 14 13 13 14 14 15 15 14 15 16 15 15 16 16 15 14 13 13 13 12 12 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 8 11 20 17 11 6 7 9 11 11 10 8 10 8 8 9 12 14 13 10 9 11 13 11 10 10 12 15 19 19 14 11 6 2 3 6 10 12 12 11 11 10 9 10 9 9 8 9 10 10 10 11 12 13 14 13 9 7 8 11 12 13 13 12 13 14 13 12 13 13 13 11 10 11 11 9 8 7 8 10 11 12 12 11 11 11 12 12 12 12 12 12 13 13 13 13 11 11 10 11 13 13 13 13 14 13 11 11 12 13 12 13 13 12 13 13 14 14 12 11 11 12 13 13 14 13 13 12 12 13 12 14 14 14 15 14 13 12 12 12 12 12 12 11 12 12 13 12 12 12 12 12 12 12 11 10 11 12 12 12 12 12 10 7 1 -2 2 14 23 29 29 23 16 13 12 12 12 12 13 13 13 14 15 14 13 12 12 12 12 14 14 14 14 16 17 17 16 15 15 15 14 15 16 17 16 16 14 12 11 14 17 18 18 15 12 9 13 19 17 16 15 15 15 17 16 11 5 5 8 12 16 17 17 17 16 15 15 15 16 15 15 15 15 15 15 15 15 15 14 13 13 12 12 12 12 12 11 11 12 12 12 12 13 13 12 12 12 11 11 11 12 12 12 12 13 12 13 15 16 16 16 15 11 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 12 11 12 13 13 13 12 12 11 9 9 9 8 9 10 10 11 11 11 11 12 12 12 12 13 14 15 16 16 14 12 10 8 8 9 12 13 13 13 13 12 12 12 12 12 13 13 12 12 12 13 15 19 21 19 16 14 13 13 13 12 13 13 13 13 12 11 11 11 12 12 12 12 12 12 12 13 12 12 11 12 13 14 14 14 13 13 13 13 12 12 14 16 17 17 16 15 15 13 13 14 15 15 15 14 14 16 16 18 21 17 12 11 12 12 11 12 13 13 13 13 13 13 14 15 15 14 14 14 15 16 16 16 15 15 13 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan 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 13 16 15 13 12 11 9 7 7 9 11 12 12 12 14 14 13 13 12 13 16 18 18 16 10 5 2 3 5 7 8 10 10 10 10 10 9 8 9 10 10 11 10 11 11 12 14 11 7 6 9 11 12 12 10 10 11 13 13 12 12 12 12 12 10 8 7 7 8 8 9 10 11 11 11 10 10 11 12 12 12 13 13 12 13 14 13 13 12 11 11 11 13 14 13 13 14 14 12 11 12 13 13 14 13 12 12 12 12 12 12 13 14 14 14 12 11 11 12 12 13 13 13 13 13 14 14 14 13 13 13 12 12 13 13 12 11 12 12 12 12 12 12 13 12 12 12 11 12 12 12 12 12 12 12 13 9 3 -2 -1 7 17 32 34 21 14 13 13 12 12 12 12 13 15 15 15 14 13 12 12 12 14 14 12 11 14 21 25 22 18 18 18 17 17 16 15 14 14 14 13 12 13 15 16 17 16 14 12 13 14 16 16 16 16 15 16 17 17 13 10 9 8 10 12 15 16 16 15 15 15 16 16 15 14 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12 13 12 12 12 12 12 13 13 12 12 12 12 12 13 13 14 14 15 17 17 17 16 14 13 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 11 11 10 10 11 11 11 12 11 12 12 13 13 13 13 12 11 10 10 9 9 9 10 11 11 11 11 12 12 13 12 13 14 16 17 16 15 13 12 11 10 10 12 13 13 12 13 13 13 13 13 13 13 13 12 12 12 12 14 16 20 21 19 16 14 14 13 12 13 13 13 13 13 12 11 11 11 12 13 12 11 11 11 11 12 12 11 12 13 13 13 13 14 14 14 14 14 13 13 14 16 16 16 16 15 14 14 14 14 14 14 14 14 14 15 17 18 19 18 15 13 11 11 11 14 15 14 12 11 12 13 14 14 15 15 15 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 nan nan nan nan nan nan 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 10 13 13 12 10 12 12 13 14 14 15 17 17 18 19 20 17 11 7 4 5 9 12 13 12 12 12 12 12 13 13 11 10 9 11 14 15 16 12 8 8 10 11 12 11 9 8 11 14 14 13 12 12 14 13 11 8 5 5 6 8 10 10 10 9 9 11 11 11 11 12 12 13 12 12 13 13 13 12 11 10 10 12 14 14 14 14 14 13 12 11 12 12 13 13 13 12 12 12 11 12 12 14 15 15 14 12 11 12 12 12 13 14 14 13 14 14 14 14 14 13 13 13 13 12 13 13 12 12 13 13 13 12 13 13 13 12 12 12 12 12 12 11 11 12 12 13 14 12 8 1 -3 2 24 38 29 20 15 13 12 13 12 12 14 14 15 15 15 15 15 14 13 14 14 10 5 5 15 27 26 21 23 20 18 17 17 15 13 12 13 14 13 14 14 13 14 15 14 14 13 14 13 14 15 14 14 14 15 14 14 12 10 9 9 9 11 13 15 16 15 14 15 15 15 16 15 15 15 14 15 15 15 14 14 13 13 13 14 14 13 13 13 12 13 12 12 13 13 14 14 15 16 17 17 18 18 19 19 20 18 16 14 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 12 12 12 12 13 13 12 12 12 11 11 10 10 10 10 11 12 13 13 12 13 13 12 13 15 17 16 12 10 10 11 10 11 11 11 12 12 12 13 13 13 14 14 13 13 13 13 12 12 13 15 18 22 23 21 18 14 13 13 13 13 13 12 12 11 10 8 8 9 10 11 10 10 11 11 11 12 12 12 13 13 14 14 13 14 14 13 14 14 14 15 16 16 15 14 15 15 14 14 13 13 14 14 14 14 14 13 14 16 18 18 17 14 12 12 12 14 14 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 6 6 5 5 5 5 5 5 5 5 4 5 5 6 8 11 14 18 21 25 28 26 24 21 18 18 16 12 11 15 18 19 18 19 20 17 16 15 15 18 21 23 25 26 25 22 21 23 24 23 20 19 18 19 19 18 16 12 8 8 9 9 8 7 6 5 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 8 5 1 0 0 0 2 5 7 13 20 27 34 40 44 43 41 36 27 18 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 18 19 8 3 1 0 0 2 12 15 14 10 4 0 5 12 16 13 2 0 0 0 0 0 0 0 0 0 0 2 4 4 2 1 4 9 13 16 30 46 44 28 19 20 22 27 38 47 54 61 66 70 75 82 89 97 103 106 104 102 103 105 106 106 101 85 68 58 52 42 39 34 18 5 5 6 2 0 0 0 0 0 0 0 0 1 0 0 0 1 12 27 32 49 68 87 108 124 134 136 136 134 129 115 101 89 78 84 88 75 64 74 89 96 96 91 84 72 59 54 56 58 60 62 68 74 78 85 102 127 157 185 199 202 198 188 176 178 183 170 153 135 119 109 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 nan nan 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 11 13 15 16 16 16 16 14 10 7 7 7 10 13 15 14 13 13 16 14 12 11 12 14 16 18 20 20 18 15 13 15 14 15 15 15 15 16 15 13 9 6 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 5 2 0 0 0 0 0 0 2 7 13 17 22 29 34 34 32 29 23 16 11 8 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 1 6 8 7 4 2 1 0 3 13 17 17 16 10 4 11 18 19 12 3 0 0 0 0 0 0 0 0 0 0 3 5 4 1 0 1 1 4 11 25 39 41 28 18 16 16 16 17 25 36 42 48 57 64 71 79 85 90 94 94 90 89 92 94 95 95 89 78 66 55 41 34 28 15 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 3 15 9 8 21 46 78 98 124 140 141 138 130 118 110 107 108 114 118 116 118 122 124 123 122 119 109 88 67 62 67 70 70 75 83 85 88 100 130 162 192 202 204 202 197 187 173 175 176 164 148 133 119 108 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 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 10 11 13 12 11 11 10 6 4 6 9 12 15 15 14 12 13 17 17 14 12 13 14 15 16 17 16 12 10 10 10 10 9 8 8 8 8 8 6 4 3 4 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 0 0 0 0 0 0 0 0 3 8 11 15 21 26 27 25 23 20 16 15 14 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 3 2 1 5 12 15 16 17 16 14 17 19 18 8 1 0 0 0 0 0 0 0 0 0 0 2 4 4 0 0 0 0 2 10 25 40 40 27 16 12 11 11 12 14 15 21 30 44 51 58 65 70 74 77 77 69 62 71 76 76 79 79 75 67 58 47 38 35 27 16 7 7 4 4 1 0 0 0 1 3 1 0 0 1 4 3 0 7 5 1 2 23 65 91 114 140 147 144 137 128 121 120 123 128 128 126 125 122 121 122 128 136 135 116 91 81 81 84 84 88 90 91 104 130 162 182 194 196 195 194 192 185 176 174 174 166 152 135 120 108 102 nan nan nan nan nan nan nan nan nan nan 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 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 11 12 11 11 10 7 6 9 14 18 21 21 19 16 17 21 23 20 16 15 15 14 15 16 14 11 9 8 8 6 4 3 3 3 2 2 2 3 4 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 17 21 23 22 20 18 18 20 21 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 9 8 5 4 3 3 1 4 7 5 8 15 17 18 19 20 18 7 0 0 0 0 0 0 0 0 0 0 0 1 7 11 7 4 0 0 1 8 24 42 38 23 14 9 6 4 3 4 7 10 19 33 38 43 44 52 54 59 57 49 42 45 52 45 57 62 62 57 52 46 41 44 37 27 17 9 4 2 0 0 0 0 6 8 2 0 0 3 8 9 5 1 1 4 25 67 103 124 132 142 150 150 145 137 131 127 128 132 127 117 107 100 99 108 127 145 152 142 128 114 106 103 101 101 101 107 130 162 182 186 183 181 181 184 188 187 180 176 174 168 155 139 124 111 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
nan nan nan nan nan nan nan 5 6 6 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 4 5 6 8 10 12 14 16 15 12 12 18 22 24 26 24 22 23 26 27 23 17 14 13 12 13 13 12 11 8 6 5 4 3 3 2 2 2 2 2 3 4 5 5 6 6 6 6 6 6 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 12 16 18 19 19 19 20 24 28 21 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 14 7 5 5 3 1 1 1 2 10 19 21 21 21 21 18 7 0 0 0 0 0 0 0 0 0 0 2 9 20 26 19 10 3 4 1 5 18 34 30 18 12 5 1 0 0 0 0 3 10 26 31 35 37 39 40 41 40 41 40 38 37 31 28 37 41 40 40 38 36 36 36 34 25 14 5 1 0 0 0 0 11 20 13 3 5 17 27 36 40 24 8 12 61 113 133 143 141 146 151 152 148 140 135 130 130 129 120 106 94 85 86 99 121 141 152 152 149 146 138 131 124 121 124 138 159 179 188 184 175 172 175 182 191 193 188 181 176 170 159 145 131 114 94 nan nan nan nan nan nan nan nan nan nan 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 6 7 6 4 3 3 2 2 2 2 2 2 1 1 1 1 2 2 3 3 5 7 10 14 18 18 16 15 16 18 20 21 22 22 24 23 24 22 16 11 8 7 8 8 8 8 6 4 3 2 2 2 2 2 2 2 2 2 3 4 5 5 5 5 6 5 5 5 6 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 12 14 16 18 21 26 30 23 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 17 18 12 11 12 8 2 1 5 11 20 24 24 24 24 22 16 6 0 0 0 0 0 0 0 0 0 0 3 15 30 32 28 19 14 11 1 2 11 28 20 16 10 2 0 0 0 0 0 0 3 16 24 29 32 34 33 31 34 37 41 42 41 36 30 24 20 20 22 24 22 24 29 31 29 20 11 5 2 0 0 1 11 29 33 31 29 38 54 75 100 85 58 45 82 117 130 138 144 150 151 150 147 140 136 132 130 127 122 112 97 88 88 97 113 131 143 147 147 150 153 154 152 152 157 169 177 185 189 185 181 177 175 183 196 200 193 184 179 172 166 152 138 120 99 nan nan nan nan nan nan nan nan nan 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 6 7 7 5 4 3 3 2 2 2 2 2 1 1 0 0 0 0 1 1 2 3 5 9 12 16 17 17 16 15 13 13 13 14 16 18 18 18 14 9 5 4 3 3 3 3 4 3 1 1 2 2 2 2 1 1 2 2 2 2 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 9 11 14 17 22 24 17 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 1 7 17 22 20 17 20 21 15 8 9 17 29 34 29 26 26 24 21 14 5 0 0 0 0 0 0 0 0 0 0 1 8 26 29 28 24 20 14 5 3 11 22 14 11 7 1 0 0 0 0 0 0 0 5 10 15 19 23 18 13 19 25 31 37 41 44 39 23 12 10 10 9 4 4 8 16 19 17 14 12 10 8 6 8 11 20 32 61 77 91 95 106 141 143 129 106 118 121 124 135 144 148 147 148 147 142 138 136 134 131 130 122 108 97 94 97 104 118 130 136 135 134 139 148 158 167 169 162 164 172 181 182 188 189 181 182 186 188 183 180 177 168 160 152 141 127 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 6 6 7 8 7 6 5 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 2 3 5 9 14 17 18 16 14 10 7 5 5 7 10 12 12 9 6 4 2 1 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 1 2 2 3 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 7 9 11 13 13 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 0 0 0 0 2 7 19 25 22 21 25 25 18 12 16 29 44 50 40 30 26 22 17 11 3 0 0 0 0 0 0 0 0 0 0 0 1 18 23 22 19 16 14 13 17 19 16 10 7 5 1 0 0 0 0 0 0 0 0 1 2 3 1 0 1 4 13 21 27 35 45 50 38 22 15 10 4 0 0 0 1 6 13 16 17 16 14 14 17 19 20 24 61 86 109 122 144 159 165 147 128 118 116 121 127 135 140 140 142 143 140 139 139 138 138 137 130 116 104 100 98 98 104 113 120 124 123 121 127 138 150 160 136 132 150 161 166 177 184 182 178 170 154 155 167 165 154 145 141 136 128 119 113 nan nan nan nan nan nan nan nan 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 5 7 8 7 7 6 6 5 4 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 3 7 12 16 18 17 14 10 5 2 2 4 7 8 9 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 4 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 26 24 24 28 26 20 18 26 42 50 44 33 28 23 18 12 8 3 2 3 1 0 0 0 0 0 0 0 0 0 8 16 16 14 13 12 15 25 26 22 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 21 26 38 52 43 31 26 22 15 5 0 0 0 2 8 19 24 22 13 14 23 26 37 40 58 79 93 98 120 150 168 158 141 132 132 128 124 127 131 133 131 129 130 135 143 143 139 138 132 121 107 105 100 94 93 96 103 110 116 115 115 121 130 139 134 135 140 146 154 162 169 172 169 163 154 150 154 150 139 130 126 123 119 113 108 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 1 2 3 5 7 8 7 6 6 6 6 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 15 18 19 17 12 8 5 5 5 6 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 5 5 5 5 5 5 6 6 6 6 5 5 6 5 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 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 1 1 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 19 25 25 26 29 28 26 26 33 39 37 32 28 25 21 15 6 5 4 5 5 2 0 0 0 0 0 0 0 0 0 3 10 10 10 8 8 11 17 28 29 22 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 22 30 38 28 22 28 29 29 12 1 16 6 14 17 35 48 46 46 40 44 46 62 72 78 80 87 92 104 132 160 165 156 149 141 130 119 116 121 127 126 120 119 131 147 152 145 134 128 118 105 108 106 97 91 90 94 99 104 106 108 112 120 128 132 132 133 138 147 155 159 161 159 158 161 161 152 138 127 119 115 112 105 97 96 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 0 0 1 2 5 6 6 5 4 4 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 13 18 20 20 17 13 10 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 5 5 5 5 5 5 5 5 4 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 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 1 4 9 18 25 25 27 29 30 31 33 35 30 25 22 21 19 17 14 8 6 6 6 6 4 0 0 0 0 0 0 0 0 0 0 2 2 3 2 1 4 8 15 22 22 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 18 22 24 21 19 22 25 25 17 17 30 36 45 53 68 81 85 88 83 76 75 81 88 95 102 99 92 95 115 142 152 147 144 140 126 112 107 110 117 125 127 125 133 146 150 146 133 123 109 99 105 110 106 99 95 94 96 99 102 102 104 111 121 129 130 130 134 142 150 155 155 152 152 157 153 141 127 119 112 106 101 93 86 91 nan nan nan nan nan nan nan 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 4 1 0 1 2 3 4 4 3 2 3 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 15 20 22 20 17 14 11 9 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 5 5 5 5 4 2 2 2 2 2 2 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 2 3 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 21 26 25 26 28 30 33 32 27 19 12 8 7 5 8 10 8 8 7 7 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 18 19 17 17 21 27 29 17 33 50 66 78 90 102 108 108 106 100 92 90 93 96 101 110 114 107 103 112 127 135 130 130 135 122 107 104 106 112 120 132 134 136 140 137 134 131 123 106 99 108 110 112 110 105 100 99 100 102 102 102 105 113 122 128 129 130 134 143 152 150 145 148 154 147 132 122 117 112 108 102 92 90 97 nan nan nan nan nan nan nan 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 10 4 1 0 0 1 2 2 2 2 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 20 22 20 18 16 13 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 2 2 2 2 2 2 2 2 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 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 1 3 7 13 24 28 26 27 27 28 29 26 20 14 3 0 1 0 3 3 4 5 6 4 3 1 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 1 2 7 11 15 24 37 46 43 47 62 79 95 110 122 123 113 98 90 88 92 101 103 105 118 128 126 122 125 130 133 124 123 134 126 111 108 110 114 118 128 131 132 134 136 135 136 132 115 104 103 104 110 116 114 109 104 101 101 102 102 102 106 116 126 129 129 127 132 139 140 136 140 147 147 138 128 121 115 112 107 100 98 106 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 16 14 10 6 3 0 0 0 0 1 1 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 15 16 17 16 14 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 12 24 28 27 27 28 27 26 23 17 8 3 0 0 0 0 0 1 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 4 11 25 46 66 73 72 71 76 91 110 123 121 107 92 86 86 94 106 108 110 122 135 144 145 148 150 147 135 130 131 129 122 118 122 126 125 124 124 124 126 133 138 144 142 129 112 102 102 111 119 120 115 111 103 100 100 100 100 104 114 122 128 128 126 126 126 126 122 124 134 146 148 140 128 119 114 110 105 105 111 117 nan nan nan nan nan 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 15 15 14 11 8 4 2 1 0 0 0 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 12 14 14 14 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 4 4 8 18 25 25 26 27 28 26 23 18 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 0 0 0 0 0 0 0 0 0 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 18 43 76 98 96 78 67 77 97 112 115 106 98 102 107 110 118 116 114 122 136 151 157 158 158 152 140 129 121 121 123 125 129 132 128 121 116 112 114 125 141 150 151 139 123 110 110 116 122 124 121 118 110 104 102 100 100 104 112 118 124 127 126 125 122 117 110 107 114 131 145 144 133 123 120 117 114 114 115 119 nan nan nan nan nan 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 12 13 13 14 13 11 7 4 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 2 6 8 9 10 12 13 12 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 4 3 4 3 3 4 8 16 20 23 25 27 25 22 18 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 32 68 100 109 87 66 70 91 107 109 102 104 122 127 129 136 134 125 124 132 149 154 150 145 139 126 111 105 108 113 118 126 129 126 119 111 103 102 111 128 145 150 141 126 114 111 115 119 121 124 123 120 114 110 107 104 104 110 116 121 126 127 126 123 116 107 99 99 110 126 135 130 120 118 118 121 123 123 124 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 4 5 7 10 12 14 14 12 9 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 9 11 11 10 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 6 5 3 3 3 3 3 3 7 11 15 18 20 19 16 12 8 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 27 38 54 79 90 81 70 72 91 106 104 97 106 126 131 133 141 144 140 137 139 146 144 134 125 119 111 104 102 104 105 108 115 120 118 116 111 104 100 101 109 128 140 136 124 112 105 103 108 112 118 124 126 123 121 120 116 111 110 113 118 122 124 122 118 114 109 99 93 97 111 122 122 117 116 116 120 125 128 128 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 3 1 2 5 8 11 12 13 13 13 12 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 8 9 8 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 5 5 5 4 5 4 4 5 6 8 9 6 5 4 4 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 43 51 46 64 83 86 71 70 83 99 102 99 107 123 128 128 132 134 138 144 148 149 139 124 115 112 109 110 111 110 107 105 107 114 108 107 108 107 104 102 100 112 125 129 126 117 108 102 103 106 110 118 125 128 130 132 131 125 117 114 113 117 119 116 111 110 111 105 100 101 109 117 119 116 115 115 118 121 124 126 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 6 1 0 1 3 6 9 10 11 13 14 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 6 6 4 3 1 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 0 0 0 0 0 0 0 0 0 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 7 8 11 12 13 11 9 8 10 12 9 9 10 5 4 4 3 2 2 2 3 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 39 50 48 59 81 93 78 70 76 88 96 100 109 118 116 112 111 112 120 133 146 151 144 128 119 116 118 121 124 121 115 111 110 113 107 102 101 102 104 105 102 105 113 121 126 124 117 111 106 103 104 112 121 128 131 136 139 134 130 126 120 119 119 116 112 111 112 112 111 110 114 120 119 116 115 115 118 121 124 127 130 nan nan nan 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 10 3 0 0 1 3 5 7 8 9 11 12 12 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 6 5 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 11 16 16 17 18 17 17 19 19 17 16 15 8 5 5 3 2 2 2 3 4 4 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 1 0 0 0 1 6 11 23 37 44 51 69 86 84 72 68 73 82 92 104 108 102 94 92 94 101 115 130 142 146 140 131 125 125 129 130 126 122 120 119 118 111 101 95 95 99 102 101 100 105 114 124 126 121 114 108 103 103 108 115 122 126 133 136 133 133 134 130 127 124 121 119 117 116 118 119 119 119 120 117 113 114 117 121 126 128 132 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 13 9 4 1 1 0 1 4 5 5 5 6 9 12 11 6 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 6 6 6 5 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 0 0 0 0 0 0 0 0 2 5 7 9 9 12 16 18 19 20 22 23 23 24 22 20 18 15 8 6 6 5 3 2 2 2 3 4 4 4 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 4 1 0 0 5 8 12 24 33 39 52 73 83 74 62 60 67 78 89 95 90 84 85 87 93 103 116 125 136 141 139 134 130 130 129 127 125 124 124 123 118 108 98 94 95 100 103 103 102 110 120 124 121 115 109 105 102 104 108 112 118 123 126 127 132 136 135 132 127 124 125 125 122 121 123 123 120 117 114 110 114 121 127 132 131 132 134 nan nan nan 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 5 3 2 1 0 0 3 5 5 3 2 4 9 13 11 5 2 2 4 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 1 2 3 4 5 6 6 6 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 1 2 4 7 8 9 9 9 10 16 19 21 22 24 26 27 26 23 21 20 16 10 7 7 6 6 5 4 3 4 4 4 4 5 5 6 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 8 8 8 5 2 0 2 5 7 12 19 27 37 55 75 76 65 58 61 70 79 85 85 82 86 88 92 101 107 110 117 124 128 129 128 126 125 125 124 121 120 120 120 117 111 104 99 99 102 102 102 110 119 123 120 116 112 106 101 99 96 101 108 113 116 120 127 134 137 136 132 130 134 138 135 130 128 126 122 117 114 111 115 122 127 130 130 132 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 9 7 4 3 2 1 0 0 1 3 5 5 3 3 7 14 17 12 7 6 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 10 8 8 8 13 16 18 21 23 26 31 32 28 24 21 18 12 8 8 7 7 7 6 6 6 6 6 6 5 5 5 6 7 8 8 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 5 10 10 10 9 8 7 4 1 0 1 2 3 7 15 26 38 57 73 71 62 62 69 79 86 88 90 92 92 93 98 100 100 102 106 109 110 111 114 116 118 118 115 114 115 117 118 120 117 111 104 98 97 98 107 117 123 126 124 120 112 104 100 95 94 97 102 107 114 120 129 138 142 138 130 139 150 152 149 142 132 126 123 121 119 122 127 130 126 124 132 137 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 10 8 5 3 1 0 0 0 1 3 4 4 4 6 13 20 17 12 10 10 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 2 3 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 12 12 10 8 7 7 7 9 11 14 18 22 29 35 35 30 24 19 13 9 8 7 7 7 7 7 7 8 7 6 6 6 6 5 6 6 8 8 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 1 5 9 12 13 10 9 8 6 4 2 2 2 0 1 6 18 25 40 62 73 66 60 66 81 89 94 99 101 97 95 97 97 96 96 97 97 94 90 90 95 100 103 104 106 110 113 110 114 117 117 112 102 96 94 98 106 115 124 130 129 124 115 107 101 95 91 93 101 111 117 123 134 143 142 133 134 146 160 166 163 153 144 139 135 134 141 150 145 131 120 129 136 128 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 14 12 11 8 5 2 0 0 0 0 0 0 2 3 6 12 18 19 15 10 9 10 11 12 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 1 2 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 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 1 3 5 7 8 8 9 11 10 8 8 7 6 6 6 6 6 9 13 20 28 33 32 26 18 12 8 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 6 7 8 9 7 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 11 12 7 2 2 9 16 18 16 12 8 7 7 8 9 7 2 0 2 11 18 27 45 65 67 62 62 73 87 98 107 109 106 103 100 98 96 95 95 93 89 84 81 80 83 86 89 93 96 97 99 101 104 110 113 109 101 93 88 92 100 111 124 132 132 127 116 109 102 92 92 100 110 118 123 128 134 139 138 135 141 156 171 178 178 169 156 146 144 152 165 165 153 138 139 142 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 17 14 12 10 8 4 3 1 1 0 0 0 0 2 4 10 16 19 17 13 10 10 11 12 14 13 10 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 3 3 2 2 2 2 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 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 1 4 7 8 9 9 8 9 10 10 8 7 7 6 6 6 6 5 5 7 10 17 24 25 21 14 9 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 6 8 12 12 11 9 8 9 8 6 6 4 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 9 14 18 17 11 5 8 16 21 23 21 16 10 9 10 14 15 13 6 0 0 4 10 18 30 47 60 63 60 63 74 88 101 108 110 112 109 98 91 90 90 90 90 88 85 82 83 81 82 84 86 88 90 90 92 98 104 111 109 99 89 85 86 94 110 125 131 133 128 119 110 100 96 100 110 118 125 127 131 139 143 141 140 150 162 172 177 172 158 145 140 148 164 175 176 174 174 170 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 16 15 12 10 9 8 7 7 6 4 2 0 0 0 2 6 14 19 20 17 14 12 12 12 13 14 14 13 13 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 10 10 9 9 9 9 9 8 6 6 6 6 7 7 7 8 9 10 13 17 17 13 9 8 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 8 12 17 19 19 18 17 18 17 17 18 13 9 10 9 8 8 6 4 1 0 0 0 0 0 0 0 2 7 14 19 18 14 10 14 20 23 24 22 18 14 12 13 16 17 15 9 1 0 0 1 9 18 30 45 59 64 64 65 72 84 97 107 116 114 96 81 79 80 81 84 87 88 85 88 84 82 80 80 80 80 79 82 88 94 99 104 105 99 90 83 84 99 116 125 130 137 133 122 110 104 103 106 113 120 127 133 141 148 146 142 145 149 155 157 156 148 140 136 141 152 166 177 186 191 187 168 157 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 13 13 12 10 9 9 10 10 10 9 7 5 3 2 1 3 7 14 19 22 20 17 15 14 14 14 16 18 20 19 14 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 12 12 12 10 9 9 9 8 7 7 6 5 5 7 12 16 19 21 20 17 15 13 10 8 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 12 18 20 22 23 24 24 23 22 22 22 20 20 18 18 18 16 12 7 1 0 0 0 0 0 0 0 2 7 13 16 14 13 17 22 23 22 21 19 16 14 14 14 15 14 10 4 1 0 0 2 7 16 28 43 60 70 69 67 70 83 99 114 117 101 81 72 70 70 72 75 80 83 85 83 79 74 71 69 66 65 68 76 85 92 97 103 107 103 93 87 99 112 119 120 128 135 132 124 116 109 105 107 115 123 130 139 149 149 140 139 140 143 138 137 138 137 134 137 145 153 161 169 176 176 170 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 11 11 12 10 8 7 8 9 9 10 9 9 7 5 4 3 3 7 14 20 23 20 17 16 16 16 18 21 22 20 14 9 7 6 3 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 1 2 7 10 12 13 12 11 10 9 8 7 6 6 5 5 6 10 16 22 26 28 28 24 18 11 5 5 6 7 6 6 6 6 5 6 6 7 7 8 7 7 7 7 8 8 7 7 8 9 12 17 18 20 22 24 25 24 24 24 25 25 26 26 26 25 22 17 12 5 1 0 0 0 0 0 0 0 1 3 5 3 8 16 23 22 20 20 20 18 17 16 15 14 12 11 8 2 0 0 0 2 5 13 26 43 62 75 72 64 68 84 106 111 108 96 76 66 64 62 62 65 73 76 75 71 66 61 58 54 51 52 59 72 87 93 99 106 108 105 105 110 116 118 114 114 122 130 132 127 117 110 106 114 122 126 133 144 143 137 134 136 138 137 136 138 135 132 136 144 150 150 152 158 160 160 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 14 12 12 10 8 6 5 6 6 7 8 9 8 8 7 6 5 5 9 15 22 22 18 15 15 18 20 22 21 18 12 8 7 8 8 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 2 4 4 7 10 11 12 12 11 10 9 8 7 6 6 6 6 8 11 10 11 15 21 27 29 27 22 14 6 4 6 7 6 6 6 5 6 7 8 7 7 8 8 8 8 9 10 11 11 10 11 11 13 15 16 17 20 23 25 25 24 24 25 27 27 27 28 27 25 21 16 10 6 2 0 0 0 0 0 0 0 0 0 0 2 12 22 21 18 18 17 16 17 16 15 12 9 8 8 7 3 0 0 0 1 4 15 27 45 71 79 68 60 65 86 96 103 110 93 76 67 62 58 55 58 61 59 54 49 45 43 41 39 37 40 51 69 84 93 100 104 107 112 117 122 124 119 116 116 117 124 127 122 114 108 110 114 118 125 132 131 128 128 132 139 141 140 138 133 128 135 147 154 152 152 152 150 148 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
29 24 20 17 15 13 10 7 5 4 4 3 3 5 6 7 8 8 8 7 8 10 14 18 18 15 14 16 19 21 20 17 14 10 9 10 12 14 15 15 12 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 6 7 7 8 9 11 13 13 12 11 9 8 7 7 7 7 7 7 7 11 11 8 5 7 15 22 25 27 25 20 10 6 6 7 6 6 6 5 6 6 6 4 4 5 6 8 9 11 12 12 12 11 11 11 11 11 11 12 16 21 24 25 24 24 27 28 28 28 29 29 27 23 18 13 8 4 1 0 0 0 0 0 0 0 0 0 0 7 19 20 17 15 15 14 14 13 11 7 3 2 4 6 7 3 1 0 0 1 7 16 30 56 77 78 66 58 68 82 97 111 110 96 82 70 60 54 50 46 42 36 30 26 25 24 23 23 23 27 41 64 81 94 101 102 104 110 118 125 128 128 128 119 114 115 117 114 108 103 101 105 112 117 118 117 119 125 136 141 135 129 124 118 128 143 150 152 153 150 147 144 147 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
38 32 27 24 22 20 17 12 7 4 2 0 1 2 4 4 6 7 7 7 8 9 10 14 17 16 14 15 18 19 18 17 16 13 13 12 12 15 18 20 20 17 12 7 4 3 2 1 1 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 7 8 8 10 12 14 13 11 9 8 7 7 7 7 7 7 6 7 8 7 4 5 10 19 24 24 23 24 21 14 7 6 7 7 6 6 5 5 5 3 1 0 1 3 6 9 10 10 10 10 9 9 10 10 10 9 10 15 21 25 27 26 26 27 29 31 31 32 32 30 26 20 14 9 5 2 0 0 0 0 0 0 0 0 0 0 3 16 19 16 15 15 14 10 5 2 0 0 0 0 2 6 11 6 0 0 0 1 6 20 37 62 78 74 61 58 73 94 109 112 107 97 80 61 52 46 41 34 26 20 16 13 11 10 11 12 12 18 37 60 84 100 106 104 104 110 120 129 135 138 130 117 110 112 113 108 98 92 94 98 100 101 102 105 112 126 139 132 123 115 104 112 126 134 138 140 140 140 142 144 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
45 36 31 29 29 28 23 16 8 2 0 0 0 0 2 4 5 6 6 6 7 9 11 14 17 18 16 16 18 19 18 18 16 15 14 13 11 13 15 18 20 20 18 15 12 10 8 6 5 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 4 4 5 6 8 10 11 11 8 7 7 7 7 7 7 7 6 5 4 4 4 4 11 23 33 34 28 23 20 16 11 6 5 6 6 5 5 5 4 2 0 0 0 0 0 4 8 9 8 9 9 8 8 9 9 9 9 9 14 19 23 27 28 30 29 30 30 32 33 34 33 29 23 15 9 5 3 2 1 0 0 0 0 0 0 0 0 2 13 17 15 14 14 8 1 0 0 0 0 0 0 0 2 14 13 2 0 0 0 0 12 23 43 64 71 64 59 63 80 99 105 108 105 89 64 48 41 39 34 26 18 12 8 6 4 4 5 6 8 15 34 62 95 115 115 108 108 116 125 133 142 140 125 115 114 112 107 98 90 85 84 86 86 89 93 100 118 135 131 124 111 98 100 107 114 118 122 126 130 132 134 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
37 32 28 27 27 23 16 8 1 0 0 0 0 0 3 6 7 6 5 5 5 8 12 16 19 21 18 16 18 19 19 18 16 15 13 11 11 11 12 13 15 17 18 19 19 17 16 15 14 13 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 1 2 6 8 9 8 7 6 6 6 6 6 6 6 5 4 5 7 9 12 21 33 39 36 30 26 20 14 7 3 3 4 6 5 5 4 3 1 1 1 1 1 1 2 6 8 9 9 9 8 8 9 10 10 9 10 12 14 15 18 20 24 26 25 25 26 30 32 34 32 27 17 8 6 5 4 2 1 0 0 0 0 0 0 0 2 7 12 13 11 7 3 0 0 0 0 1 4 3 0 0 8 13 8 4 1 0 0 2 10 26 44 57 62 64 67 72 84 96 106 106 91 70 51 39 36 35 29 21 13 6 2 1 1 2 2 2 4 11 31 69 110 126 121 115 116 120 126 134 137 132 123 117 110 101 94 85 70 68 74 77 84 92 97 114 129 132 128 114 98 92 97 102 106 114 125 132 129 129 131 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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