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