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