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