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