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