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 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 2 2 2 3 3 3 2 3 3 3 3 2 2 2 2 2 2 1 1 2 2 2 2 3 2 2 3 3 2 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 4 3 4 4 3 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 7 7 6 6 5 5 4 6 11 11 7 5 3 4 5 8 11 13 13 11 5 1 10 13 5 9 10 8 7 7 5 2 3 3 2 2 1 2 5 4 3 4 5 5 3 2 3 4 6 8 6 2 1 3 4 3 5 8 10 12 11 10 10 12 11 6 4 7 9 9 7 6 9 16 26 31 28 21 13 5 3 2 3 3 3 2 3 3 4 4 5 6 8 9 8 6 5 5 4 3 3 3 3 2 2 3 2 2 2 2 2 2 2 2 2 2 1 2 3 4 5 6 5 8 23 30 17 6 5 5 5 5 5 6 5 4 5 5 4 5 5 5 4 3 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 5 6 5 4 3 2 3 5 8 9 6 4 3 3 4 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 6 6 5 5 5 4 4 4 5 5 4 4 3 3 2 2 2 1 1 1 -0 -0 0 -0 -0 0 0 2 6 11 9 -3 -9 1 5 2 3 6 7 5 5 5 2 2 1 2 3 4 3 4 4 -3 -12 -19 -19 -13 -8 -8 -9 -6 1 6 6 5 5 6 8 10 12 12 7 3 4 4 5 5 5 5 7 9 10 8 9 10 10 9 8 7 5 3 3 3 4 5 7 8 8 8 7 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 5 5 6 6 5 5 4 4 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 3 2 3 3 3 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 3 3 4 4 3 3 3 3 3 3 4 3 4 3 3 3 4 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 7 7 7 7 7 6 5 5 5 5 12 14 10 7 7 9 8 8 10 15 16 11 3 -4 2 6 4 9 8 6 3 1 3 5 5 4 3 2 1 2 4 4 2 3 4 5 6 6 4 3 5 7 4 2 3 3 2 2 6 9 10 13 12 8 8 10 9 5 6 10 13 14 11 9 14 23 29 28 22 15 7 3 3 2 2 2 3 2 3 3 4 4 5 7 9 9 7 6 5 5 4 3 3 4 3 3 2 2 2 2 2 2 2 2 2 2 2 1 1 2 3 4 6 6 6 9 22 32 20 8 5 4 5 6 6 8 6 5 5 4 4 4 5 5 5 5 4 4 3 2 1 2 2 2 2 2 2 3 4 5 4 4 4 5 5 5 5 4 2 3 4 7 8 7 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 5 4 5 4 5 5 6 6 6 5 5 4 5 5 5 4 4 3 2 2 1 1 1 0 -0 0 -1 -1 -2 -2 -2 -2 -2 -2 -0 2 3 -1 -4 -6 -4 3 8 13 13 11 8 5 6 7 7 7 8 6 4 8 12 7 2 1 1 -0 -1 -2 -4 -5 -0 7 7 5 4 4 5 5 6 7 6 4 4 4 4 5 5 5 5 5 7 7 8 8 7 7 7 5 5 4 4 4 4 5 6 8 8 8 7 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 nan
nan nan nan nan nan nan nan nan 4 4 4 5 5 5 5 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 3 2 3 3 4 3 3 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 3 3 3 4 4 3 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 5 5 5 5 6 6 6 7 7 7 7 7 8 9 9 9 9 9 8 7 7 6 5 5 5 5 5 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 6 5 4 4 7 13 12 9 9 10 8 3 3 10 16 15 9 3 -6 -5 1 8 6 1 2 2 2 3 3 2 2 3 3 2 3 4 3 1 2 4 4 5 6 5 5 6 5 2 2 7 9 5 3 7 10 9 10 11 11 9 7 5 4 7 11 14 14 12 13 17 21 21 19 16 10 5 3 3 2 2 3 3 3 3 4 4 4 5 7 9 9 7 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 2 1 2 3 4 5 6 6 7 9 27 40 23 7 5 5 6 7 7 7 5 5 5 4 4 4 4 5 5 5 5 4 3 2 -0 -3 -2 -1 -3 -3 1 3 4 4 4 4 4 5 5 5 5 4 3 3 3 5 7 7 5 4 3 3 3 3 3 2 3 2 3 3 3 4 4 4 4 4 5 5 5 6 7 6 6 5 5 5 4 4 4 4 3 2 2 1 1 1 1 1 0 -0 -0 -0 -1 -1 -1 -2 -3 -3 -3 -2 -0 -1 -4 -4 0 5 10 11 13 11 7 8 9 10 10 8 5 5 8 13 11 7 5 7 6 4 2 -0 -1 4 9 9 5 3 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 8 8 8 7 6 5 5 5 4 4 4 5 6 7 8 8 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 3 3 3 3 2 3 3 3 3 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 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 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 6 6 6 6 6 8 8 10 10 10 10 10 9 8 7 7 6 6 6 5 5 4 3 4 4 4 4 4 5 6 7 7 7 7 7 7 6 5 4 2 -1 -1 3 9 10 9 5 -1 0 7 10 10 8 6 -1 -2 2 6 2 -0 3 5 6 5 3 2 1 2 3 5 8 6 2 1 3 2 2 3 3 3 5 6 4 3 5 9 14 10 6 6 7 8 8 10 14 13 9 7 6 7 11 14 14 14 15 17 16 15 14 10 6 4 3 3 3 3 3 3 3 3 3 4 4 5 8 9 9 6 6 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 1 1 2 4 5 5 6 7 7 12 35 46 21 6 5 6 7 7 7 5 5 5 5 5 5 4 4 5 6 5 5 4 4 5 2 -4 -4 -3 -4 -4 0 3 4 3 3 3 4 5 5 5 5 4 4 3 3 4 5 6 5 4 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 4 4 3 3 3 2 2 3 2 2 2 2 2 2 2 1 1 1 -1 -2 -4 -4 -2 -0 0 2 4 5 4 4 6 7 8 6 6 7 10 12 11 7 5 6 10 12 11 8 4 2 3 4 4 4 8 11 10 6 2 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 6 5 5 5 5 5 5 5 6 6 8 8 7 6 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 3 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 6 6 6 7 7 6 7 7 8 9 10 10 11 11 11 11 10 9 8 7 6 6 5 5 4 3 4 4 4 4 4 5 6 7 7 7 7 6 6 6 5 4 -1 -15 -23 -8 9 8 7 9 6 -1 -1 2 9 12 11 6 4 4 3 1 3 6 8 7 5 4 4 3 4 6 7 12 9 4 3 3 2 2 3 2 2 3 3 4 7 8 6 7 8 7 3 -1 3 8 10 13 14 13 11 9 9 12 13 14 16 15 13 12 12 9 6 4 4 3 3 3 3 3 3 3 3 4 4 4 6 8 10 8 6 5 5 5 4 4 4 4 4 3 3 2 3 2 2 2 2 2 2 2 1 2 3 4 5 5 6 6 7 14 38 45 20 7 6 6 6 6 6 5 5 4 5 4 4 5 5 5 6 6 5 4 4 4 3 -1 -5 -2 5 6 4 4 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 5 4 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 5 5 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 -1 -2 1 7 8 7 6 9 9 6 3 4 6 5 5 5 4 6 13 15 11 8 6 9 13 14 12 6 3 4 6 7 7 9 11 12 8 2 -1 1 4 5 5 6 6 5 5 5 5 5 5 5 5 6 7 8 8 7 6 5 5 6 6 6 6 6 5 5 6 7 8 7 7 5 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 3 4 4 4 4 5 4 5 6 5 5 4 4 4 4 5 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 9 10 10 11 11 11 12 12 11 10 8 7 6 6 5 4 4 4 4 4 4 4 5 5 6 7 7 6 6 6 5 5 4 0 -9 -14 -4 3 0 3 9 5 -8 -10 -0 8 12 11 8 5 3 4 3 4 4 6 7 7 6 6 5 9 10 7 9 8 5 4 4 6 8 6 4 4 4 3 4 6 9 4 -4 -1 7 6 -2 -0 10 12 11 12 13 11 9 10 13 13 13 15 13 10 9 8 6 5 5 4 3 3 3 3 3 3 3 3 3 4 5 6 8 10 8 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 4 4 5 5 5 6 6 12 37 48 25 7 5 6 7 6 6 5 5 5 5 4 4 5 5 6 6 6 5 4 4 4 3 3 -2 -2 6 10 7 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 1 2 2 2 3 3 4 4 4 4 5 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 7 14 19 15 11 9 8 6 5 4 5 6 6 5 6 4 2 6 12 14 12 8 10 13 12 11 7 7 8 8 8 8 8 11 14 12 5 -1 -1 3 5 5 6 6 6 5 5 5 5 5 5 6 6 7 8 8 7 5 5 6 6 7 7 7 7 6 5 5 6 7 7 7 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 3 4 3 3 4 4 4 5 5 6 6 6 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 8 9 9 9 10 12 12 12 12 12 13 12 10 8 7 6 6 4 4 4 3 4 4 4 5 5 6 6 7 7 6 6 5 6 5 3 2 4 9 6 -3 -4 -1 -5 -13 -11 2 8 8 6 5 5 6 5 5 4 4 5 6 7 8 7 8 11 10 8 4 3 3 4 5 10 13 8 8 7 7 6 4 1 9 12 1 -3 7 11 6 2 7 11 12 11 12 11 8 9 12 12 11 11 9 7 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 5 7 8 10 8 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 1 1 2 3 4 5 4 4 5 6 6 7 27 49 33 10 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 -1 -2 2 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 1 1 1 1 2 2 3 4 4 3 4 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 5 4 4 4 4 4 8 16 21 16 10 8 9 9 6 5 5 6 7 5 5 8 7 3 2 3 6 8 8 10 9 7 8 7 8 8 9 9 8 7 11 15 16 9 1 -3 0 4 5 5 6 6 6 5 5 5 5 6 6 6 7 8 8 7 5 4 5 6 7 8 7 7 6 6 5 5 5 6 6 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 nan nan 4 4 4 4 3 3 3 4 4 5 6 6 6 5 4 3 3 3 3 4 5 5 5 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 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 4 5 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 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 9 12 14 14 13 13 13 13 11 9 8 7 6 5 4 3 3 3 4 4 5 5 5 6 7 7 7 6 6 6 5 5 4 2 6 9 5 -0 -4 -7 -8 -4 3 5 2 0 2 6 9 7 6 6 5 6 5 5 6 7 9 10 7 5 2 1 2 3 5 10 9 6 8 8 9 11 4 -1 5 14 12 5 8 13 10 7 7 11 11 8 11 12 9 9 11 11 10 8 7 7 6 5 5 4 4 4 3 3 3 3 4 3 4 4 4 4 5 7 9 9 8 6 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 1 1 3 4 4 4 4 5 5 5 6 15 38 37 17 9 8 7 8 7 7 6 6 5 6 7 6 5 4 5 5 5 5 5 4 4 4 4 2 -0 1 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 2 1 1 2 2 2 2 3 3 3 3 3 3 3 2 2 2 1 0 1 1 2 3 4 5 5 5 6 7 9 12 13 13 11 10 11 14 12 7 6 5 6 8 7 6 6 7 8 7 6 7 9 7 4 1 -1 -1 4 7 6 5 5 6 6 7 8 9 8 7 9 13 18 14 4 -4 -3 2 4 5 6 6 6 6 5 5 5 6 7 7 7 8 8 7 5 4 4 6 7 8 7 7 6 6 5 5 5 5 5 5 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
nan nan nan nan nan nan nan 7 6 5 4 3 2 2 3 4 4 4 6 6 6 5 5 3 3 2 2 3 4 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 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 4 5 5 5 5 5 6 5 5 5 6 6 7 8 8 8 8 8 8 9 12 15 16 15 14 13 13 11 10 9 7 6 5 5 4 3 3 3 4 4 5 5 6 7 7 7 6 6 6 6 5 3 -1 -5 -0 9 9 5 1 1 4 5 2 0 1 4 8 9 7 6 6 6 6 5 4 4 4 6 6 4 3 1 1 3 5 6 6 4 6 6 5 8 11 6 2 2 5 5 3 8 12 8 7 7 13 15 13 12 13 11 8 7 8 8 7 8 7 6 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 6 7 9 9 8 6 4 3 3 4 4 4 4 5 4 4 3 3 3 2 2 2 2 2 1 2 3 4 4 4 4 4 5 6 5 7 20 32 27 17 13 11 9 9 8 7 6 6 6 7 6 5 6 6 6 5 6 6 5 5 4 4 4 4 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 -0 -0 -0 -0 0 1 1 2 3 4 6 8 12 23 33 32 25 20 13 8 6 5 5 4 4 6 6 6 6 6 7 8 7 6 7 8 9 8 2 -2 0 3 5 5 4 4 5 5 7 8 8 8 7 9 16 16 9 1 -4 -3 4 5 6 6 7 7 6 5 5 5 7 7 7 7 8 7 5 4 4 5 7 7 7 6 6 6 6 5 5 4 5 5 5 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 6 7 7 6 5 4 3 3 3 4 3 3 4 5 5 5 6 5 4 2 2 1 2 3 4 4 4 4 4 4 4 4 3 2 2 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 5 5 4 4 5 5 4 4 3 3 3 3 3 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 10 13 16 18 17 15 13 12 12 10 9 8 6 5 5 4 3 3 3 3 4 5 6 6 7 7 7 7 7 6 5 5 4 2 -2 -3 3 9 8 8 7 6 6 7 9 10 9 8 8 7 6 6 6 6 5 4 4 4 4 3 3 3 3 4 7 9 8 4 4 6 6 6 7 7 5 5 4 4 -1 -1 5 3 2 3 5 11 17 17 14 12 9 3 1 4 6 7 7 7 6 5 4 4 4 4 3 3 4 4 4 4 4 4 4 5 6 8 9 10 8 5 4 3 3 4 5 5 4 5 4 3 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 4 5 6 5 5 8 18 26 23 20 19 17 16 14 12 10 8 7 6 6 7 8 9 8 7 7 6 4 4 4 5 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 3 3 3 3 4 3 3 3 3 2 2 2 2 2 1 2 2 2 2 2 1 0 -0 -1 -1 -2 -2 -2 -1 -1 -1 0 4 10 19 34 39 28 17 11 7 5 6 5 5 5 5 5 5 6 6 7 8 9 8 7 7 10 11 6 1 1 3 4 4 4 4 4 4 5 7 8 8 7 7 12 15 9 6 4 -1 2 6 6 6 7 7 7 6 5 5 6 7 7 7 7 7 6 5 4 5 6 7 7 6 7 7 7 6 6 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 6 6 6 5 4 4 4 4 3 3 3 3 4 4 5 6 5 4 2 1 1 2 2 3 3 4 5 4 4 4 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 4 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 6 7 6 7 7 9 11 15 18 20 19 16 13 11 11 10 8 7 6 5 5 5 4 3 3 3 4 5 6 7 7 7 7 8 7 6 5 5 4 4 3 2 4 7 6 5 2 1 5 12 16 15 10 8 7 7 7 7 5 7 7 6 5 4 3 3 3 3 5 8 12 12 9 4 5 5 6 9 8 7 7 8 12 12 3 -0 5 -2 -5 -3 3 12 14 14 12 10 7 4 5 7 6 5 6 6 6 5 4 4 4 3 3 4 4 4 4 4 4 4 5 5 6 8 9 10 9 6 4 3 4 5 5 5 5 4 4 4 3 3 2 3 3 2 2 3 3 4 4 4 4 4 4 5 5 5 6 5 4 6 12 17 19 20 22 22 21 19 18 18 15 8 5 6 9 11 13 13 10 6 5 5 6 7 6 5 5 4 3 3 2 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 2 1 2 3 4 4 4 3 3 3 2 1 1 1 1 1 2 2 2 2 1 1 -0 -1 -1 -2 -2 -2 -2 -3 -3 -3 -1 5 8 14 25 22 10 7 7 6 6 5 5 6 6 6 5 5 6 8 10 12 11 8 6 5 6 5 3 2 3 3 4 4 4 4 4 4 5 6 7 7 6 8 11 8 5 7 4 4 6 7 7 6 7 8 7 6 5 6 7 7 7 7 7 6 5 4 5 6 6 7 7 7 7 7 8 8 8 6 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 5 5 6 6 5 5 5 4 4 3 3 3 3 3 4 5 5 5 4 3 3 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 6 6 6 7 6 6 6 6 7 6 6 7 9 12 16 19 21 19 16 13 11 10 9 8 7 6 5 5 5 4 3 3 4 4 4 5 6 7 9 10 10 9 7 5 5 4 4 4 5 7 7 3 -4 -7 -2 7 12 14 13 9 7 8 7 9 9 5 5 8 8 6 5 4 4 3 2 3 10 14 10 6 4 4 4 7 10 7 8 12 13 15 13 5 1 12 20 10 1 6 13 12 10 10 9 10 12 14 10 6 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 6 8 9 10 9 6 4 3 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 5 5 5 5 5 5 5 5 6 9 11 14 17 19 20 21 25 26 19 11 7 7 11 16 21 21 18 16 16 15 12 10 8 8 4 2 2 2 2 2 2 2 3 3 4 5 4 4 4 5 5 4 5 5 5 6 6 5 4 3 1 -1 -4 -5 -2 2 4 4 4 4 3 2 1 1 0 0 1 1 2 2 1 1 1 0 -0 -1 -0 -1 -1 -0 1 3 3 -0 1 4 4 10 14 10 6 7 6 5 5 6 6 7 8 6 7 9 9 8 9 10 7 4 4 3 3 3 3 3 3 3 4 4 4 3 4 4 5 6 6 5 6 6 6 6 7 5 4 6 7 7 7 7 8 7 6 5 6 6 7 7 6 7 6 6 5 5 6 6 6 6 6 6 7 9 9 9 7 6 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 3 4 5 5 6 5 5 5 5 4 4 4 3 3 3 4 4 5 5 5 4 3 3 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 6 7 7 7 6 6 6 7 6 6 6 7 9 12 15 18 20 19 16 13 10 9 8 7 6 5 5 5 5 5 4 3 4 4 4 5 6 10 14 14 12 11 9 6 5 5 8 7 4 -1 -3 -3 -8 -8 3 9 10 11 13 9 5 6 7 10 12 6 3 7 8 6 4 4 4 4 3 3 7 9 6 4 5 3 5 9 10 7 7 11 13 13 11 6 5 18 38 31 13 9 11 11 11 11 11 12 14 13 9 6 6 6 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 7 8 9 10 9 6 4 3 4 6 6 5 4 4 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 7 10 12 13 18 23 23 20 16 13 13 15 21 28 28 25 26 27 22 16 12 7 3 2 2 2 2 2 1 1 1 1 3 4 4 4 5 5 4 4 4 4 5 6 6 7 6 5 3 -2 -8 -10 -4 3 5 4 4 4 4 3 2 1 0 -0 0 0 1 1 2 1 1 1 1 -0 -1 -2 -0 4 10 11 9 3 0 2 5 6 7 7 7 7 6 5 5 5 6 6 6 6 7 7 5 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 9 7 3 5 8 8 8 7 8 7 6 4 4 6 7 7 6 6 6 6 6 5 6 5 5 5 5 5 6 7 8 8 8 7 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 3 2 3 4 4 5 5 5 4 4 4 5 4 4 4 3 3 4 4 5 5 5 4 4 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 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 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 7 7 6 6 6 6 7 6 6 6 6 8 11 14 17 18 17 15 12 10 9 8 7 5 5 4 4 5 4 4 3 3 4 4 5 6 10 13 11 10 10 10 8 7 6 11 10 0 -10 -14 -7 -5 -3 6 11 9 8 11 9 4 4 6 10 12 8 4 5 8 7 4 3 4 4 4 6 5 3 4 4 5 5 6 9 8 4 3 7 10 11 8 6 4 13 28 26 16 10 7 9 12 12 11 10 10 9 7 7 6 5 5 4 5 4 4 3 3 3 3 3 4 4 4 5 5 4 5 6 8 10 10 9 7 5 5 5 7 6 5 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 5 4 4 5 6 6 7 11 14 16 18 16 14 13 13 15 16 17 18 20 19 16 12 5 3 3 3 4 4 3 3 1 -0 0 1 1 2 1 1 1 1 1 1 2 3 3 5 6 6 6 5 4 0 -2 1 7 10 7 4 4 5 4 3 1 0 -0 -0 -0 -0 0 1 1 1 1 1 0 0 2 3 7 13 13 9 6 3 3 6 7 6 6 7 9 8 6 6 7 10 8 7 6 4 2 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 7 8 6 6 8 9 9 8 8 8 7 4 4 5 7 7 6 6 6 6 6 6 6 5 5 4 4 4 4 5 7 7 8 8 7 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 3 2 2 3 4 4 5 4 3 3 4 4 4 4 4 4 3 4 3 4 5 5 4 4 4 4 3 3 3 3 2 3 2 2 2 3 3 4 3 3 3 4 4 4 3 3 3 3 3 2 2 2 2 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 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 5 5 4 5 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 6 6 7 6 6 6 6 6 7 8 10 13 14 15 14 12 10 9 8 7 6 5 4 4 4 4 4 3 3 3 3 4 5 5 6 2 0 2 5 8 10 9 9 12 10 2 -8 -11 -4 -2 1 4 6 4 6 8 9 6 3 5 9 10 9 4 4 7 7 5 4 5 4 4 5 4 4 4 5 5 5 6 6 3 0 1 6 11 11 7 5 4 6 12 15 13 11 9 11 11 11 9 8 7 5 5 5 5 5 5 5 5 4 4 3 4 3 3 3 4 4 4 5 5 4 5 6 9 10 11 10 8 6 6 7 7 6 4 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 7 8 9 9 7 4 2 4 6 7 6 7 8 6 4 4 4 5 5 6 6 5 4 2 1 1 0 -1 -2 -3 -5 -7 -8 -6 -2 0 2 3 3 5 5 5 7 11 10 8 10 13 11 5 3 4 4 3 2 1 0 -1 -1 -0 0 0 1 1 0 -0 2 9 15 13 8 6 7 7 7 6 6 6 7 7 6 6 8 9 8 6 9 13 13 10 6 3 2 2 2 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 6 7 7 8 8 9 8 8 8 8 5 3 5 6 7 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 7 7 8 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 4 3 3 3 4 5 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 4 4 3 4 4 4 5 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 4 4 4 4 5 5 5 6 6 6 6 7 6 6 6 6 6 7 8 10 11 12 11 10 10 9 8 7 6 5 4 4 3 3 3 3 2 3 3 4 5 5 5 4 1 -1 -0 2 6 9 10 12 13 10 5 0 -3 -0 2 6 3 3 1 1 6 10 10 5 2 5 7 7 4 4 6 7 7 6 5 4 4 4 4 4 5 5 4 4 5 3 1 4 8 11 13 10 5 4 5 5 8 11 10 9 10 10 9 8 7 5 4 5 5 5 4 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 4 4 5 7 9 11 12 11 9 8 7 8 7 5 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 5 6 4 3 3 3 3 3 3 3 4 4 4 4 5 5 6 7 7 7 6 5 5 4 2 -1 -3 -3 -7 -11 -9 -5 -2 0 1 3 3 4 4 3 6 10 11 8 10 11 8 5 3 3 4 4 3 2 0 -1 -1 -1 -0 1 2 3 3 1 4 9 12 13 7 3 4 6 6 6 6 5 6 7 6 5 7 8 8 4 2 10 13 9 5 3 3 2 2 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 7 7 7 8 9 9 8 7 9 8 4 5 7 6 6 6 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 6 6 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 2 2 3 2 3 3 2 3 3 4 4 4 4 4 4 5 5 5 4 4 3 3 4 4 3 4 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 5 5 4 4 3 2 2 2 2 2 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 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 5 5 6 7 8 9 10 10 9 8 8 9 8 7 6 5 4 3 3 3 3 2 2 3 4 5 5 5 6 6 6 6 5 4 4 7 9 13 13 10 8 5 2 1 6 11 8 6 4 1 6 12 13 8 3 4 5 5 5 4 5 7 7 6 5 4 4 3 3 4 5 5 4 6 8 7 4 8 14 14 11 5 2 2 3 4 7 9 7 6 8 8 8 6 5 4 4 4 5 5 5 4 5 5 4 4 4 3 3 3 4 4 4 4 4 5 5 4 4 7 9 12 13 11 10 9 8 7 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 3 3 4 5 7 6 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 7 7 7 6 5 4 3 2 1 -1 -1 7 10 7 4 3 3 4 4 4 4 4 5 5 6 7 5 4 3 3 3 3 3 2 2 3 3 3 2 4 7 8 7 8 8 8 7 5 7 8 6 6 7 6 5 5 5 5 6 5 5 6 8 8 5 1 5 9 7 5 4 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 6 6 5 5 6 8 8 8 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 7 6 6 6 5 6 7 7 7 5 4 5 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 nan nan 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 2 2 2 2 1 2 1 1 2 2 2 2 2 2 3 2 2 2 3 2 3 3 3 3 3 3 4 3 3 4 5 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 4 5 5 4 5 5 5 5 5 6 7 7 7 6 5 5 6 6 7 8 9 9 9 7 7 6 7 8 7 5 4 3 2 3 3 2 3 3 4 5 6 6 6 6 6 7 8 8 6 5 6 8 11 11 9 10 10 6 3 9 14 11 7 9 5 4 10 13 10 4 4 5 5 4 1 4 9 7 5 5 5 5 4 3 4 6 7 6 8 11 11 7 7 10 12 8 3 2 2 2 4 7 7 5 4 6 7 6 5 5 5 4 4 5 5 5 5 5 4 4 3 3 3 4 3 4 4 4 4 4 5 4 4 5 7 9 12 12 11 10 9 8 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 5 4 5 5 4 4 4 3 4 5 7 7 6 6 5 4 5 4 5 4 4 4 5 4 4 4 3 4 5 6 7 7 6 5 5 5 5 4 4 9 22 27 16 6 3 2 1 1 2 4 5 2 1 3 3 2 3 3 2 2 3 4 4 6 10 15 14 8 10 14 13 10 9 12 14 12 9 7 7 6 7 8 7 6 7 7 6 6 6 5 4 8 9 8 7 6 7 7 6 5 5 4 4 5 6 6 6 5 4 4 4 4 4 5 4 4 4 5 6 6 5 4 5 5 5 5 6 7 7 6 5 6 7 8 8 9 9 9 8 7 7 7 7 7 6 5 5 6 6 6 7 7 8 9 9 8 7 7 8 8 8 7 4 3 4 7 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 3 3 2 3 3 3 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 5 4 4 5 4 4 4 5 5 5 6 7 7 7 6 6 5 5 6 7 8 9 9 8 7 6 5 6 6 6 6 4 3 2 2 2 3 3 4 5 6 6 7 7 6 6 7 8 8 7 6 6 9 11 9 7 9 11 9 5 11 18 15 4 7 7 2 7 11 9 5 4 5 4 3 2 4 10 7 5 4 5 5 5 5 6 7 7 7 9 11 10 8 6 7 10 7 4 3 3 4 6 6 6 5 4 7 7 6 7 5 4 2 4 6 5 5 5 5 4 4 3 3 4 3 4 4 3 4 4 4 4 4 4 4 6 9 11 12 11 10 9 8 6 4 5 4 4 3 4 4 5 4 3 3 3 3 4 3 3 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 4 5 7 8 8 6 6 5 5 5 5 5 5 5 5 4 4 3 2 2 4 4 5 5 5 4 4 4 4 4 4 9 23 36 28 9 1 1 -1 -1 0 4 7 4 2 2 2 3 4 4 3 2 5 9 12 12 14 18 19 13 10 11 12 10 9 11 12 11 7 5 7 7 6 7 8 9 9 8 8 8 9 8 3 3 7 6 5 5 5 5 5 5 5 5 5 5 6 8 8 7 5 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 7 10 9 4 5 8 10 9 9 10 9 9 7 7 7 7 6 6 5 5 5 5 6 6 7 8 9 11 10 9 8 9 9 9 6 5 4 5 8 9 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 3 3 2 2 2 3 3 3 3 3 4 4 5 5 4 4 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 6 6 7 7 6 6 6 5 6 7 8 9 8 7 7 5 5 5 5 5 5 4 3 2 2 2 3 3 5 6 6 7 8 8 7 6 7 8 9 7 6 6 10 12 10 6 6 9 8 5 10 19 17 5 6 6 1 3 8 8 6 5 5 3 2 2 6 10 7 5 5 5 5 5 6 8 7 5 5 7 9 9 7 6 7 8 6 4 3 3 5 8 7 6 5 7 9 8 8 6 5 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 5 6 9 10 10 10 9 9 7 5 5 5 5 4 4 4 5 5 4 3 3 4 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 6 7 7 8 7 6 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 4 4 4 4 4 5 6 15 31 36 23 9 5 4 1 1 5 10 9 6 4 3 3 4 7 3 0 5 13 18 15 12 10 10 10 10 9 8 8 8 8 9 9 9 6 6 8 7 7 9 11 12 10 9 7 7 8 5 2 4 5 4 4 4 4 4 4 4 4 4 5 5 7 8 8 5 3 3 4 4 4 5 5 5 5 5 6 7 6 4 5 5 5 6 8 11 12 7 4 9 11 11 11 11 10 9 8 7 7 7 6 6 6 6 5 5 5 6 6 7 9 11 11 9 8 9 10 10 8 7 6 6 7 8 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 1 1 1 1 2 2 2 2 2 3 2 2 3 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 5 6 6 8 9 8 7 6 5 5 5 4 4 4 4 3 2 1 2 2 3 4 6 7 8 9 8 7 7 7 9 9 8 6 7 11 15 14 9 6 8 8 3 5 15 13 4 7 8 2 -0 5 6 7 7 7 4 2 2 6 9 8 6 5 5 5 5 6 6 7 5 4 6 9 8 6 5 6 7 8 7 5 4 6 10 10 7 7 11 11 8 6 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 6 8 9 9 8 8 7 6 6 5 5 5 4 4 4 5 4 4 4 4 4 4 3 3 2 2 3 3 3 4 3 3 3 3 4 5 6 6 6 5 4 4 4 4 4 5 4 4 4 5 5 5 5 5 6 7 7 6 6 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 8 17 28 30 24 18 15 10 6 6 7 11 14 13 10 4 5 9 4 -2 3 14 16 13 9 8 7 7 9 10 8 5 5 6 6 7 9 9 6 8 8 8 8 8 9 8 6 5 5 6 6 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 7 7 5 4 3 3 3 4 4 5 5 5 5 6 7 7 5 4 5 5 6 8 9 12 10 8 10 12 13 13 12 11 10 9 7 6 6 7 7 7 7 7 6 5 6 6 6 9 9 9 8 7 8 10 10 10 10 10 9 7 7 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 5 5 5 5 5 5 4 4 3 3 3 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 1 1 2 2 2 2 2 2 3 3 3 2 3 2 2 2 2 1 2 2 3 3 3 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 5 5 5 4 4 4 4 5 5 5 6 6 7 8 8 7 7 6 6 5 5 7 9 9 7 5 5 5 4 4 4 4 3 3 2 2 1 2 3 5 7 7 9 9 8 7 7 7 8 8 8 8 11 14 14 15 11 6 8 10 1 -0 8 7 3 8 11 6 2 4 5 6 8 9 6 3 3 6 6 7 5 5 5 5 6 5 4 6 6 4 6 9 7 3 2 4 8 11 10 9 7 8 11 10 8 10 12 9 5 4 5 6 6 5 6 5 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 6 7 8 7 7 7 6 6 6 6 5 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 6 5 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 5 4 4 4 4 5 4 4 7 15 24 27 22 22 21 16 9 3 4 12 23 25 18 16 15 9 1 5 12 14 10 8 8 8 9 8 10 10 7 4 5 6 7 7 6 6 7 8 7 6 6 5 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 4 4 4 5 5 6 7 8 7 3 3 5 5 8 9 9 9 9 11 12 13 13 13 11 10 8 7 7 7 7 7 9 9 8 7 7 7 6 6 7 9 10 10 9 9 9 10 10 11 14 13 8 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 3 4 3 4 4 4 4 4 5 5 6 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 2 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 6 7 7 8 8 8 8 8 7 6 5 7 9 11 8 6 4 4 4 4 4 3 3 3 2 2 2 2 3 5 7 8 8 9 8 7 7 8 8 8 8 12 16 16 11 12 10 3 5 9 3 -0 5 6 3 8 13 9 6 7 7 5 6 8 8 4 2 3 3 4 4 4 5 6 7 5 3 4 5 4 5 7 6 5 5 7 8 8 8 8 7 8 10 10 10 12 10 5 3 3 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 7 7 7 6 6 6 6 6 6 5 5 5 5 5 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 6 11 19 21 22 24 22 16 7 2 5 17 29 32 27 19 10 6 7 11 11 10 9 8 8 9 8 9 10 9 7 6 6 6 7 7 6 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 5 6 8 10 6 2 4 5 7 9 8 8 9 10 11 12 12 11 11 9 8 7 8 8 8 8 10 11 10 9 8 7 6 5 6 8 11 11 10 9 9 9 8 9 13 12 8 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 6 6 6 7 8 9 10 10 9 8 9 11 14 15 13 10 7 5 4 4 4 3 3 3 3 2 2 2 2 3 5 6 8 9 8 8 7 7 7 7 7 12 16 17 13 10 11 10 1 -1 3 4 4 8 10 7 12 15 8 5 8 10 7 5 7 8 5 2 2 2 2 3 4 5 5 6 6 5 3 3 3 3 3 4 9 13 11 5 1 0 2 3 4 6 7 10 11 7 3 3 2 2 4 3 1 1 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 5 6 7 7 6 6 6 6 6 6 5 5 5 5 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 5 4 5 8 12 15 20 23 21 16 11 9 12 20 25 21 15 10 6 7 10 10 10 10 8 8 9 7 8 8 10 11 10 8 9 9 8 7 5 4 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 5 7 8 8 5 4 5 6 7 7 8 8 9 9 10 11 10 9 9 7 8 9 10 9 10 11 13 12 10 9 7 6 5 5 7 9 9 8 8 8 8 7 8 8 8 7 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 6 6 6 7 6 6 6 5 6 7 6 6 6 6 5 5 4 4 4 4 5 5 5 4 4 5 6 6 5 4 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 5 5 5 5 4 4 4 5 5 6 5 5 5 4 4 3 3 2 2 2 2 2 3 2 3 3 3 3 3 4 4 4 3 3 3 2 1 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 5 5 5 5 4 4 4 5 5 6 6 6 7 8 10 11 12 10 9 13 20 25 20 9 5 7 8 6 4 3 3 3 3 3 3 2 2 2 3 4 6 8 8 8 7 7 7 7 8 11 15 17 13 7 5 9 14 6 -2 1 6 6 8 9 9 15 15 7 4 6 9 8 6 7 7 6 4 3 1 2 4 4 5 5 5 5 5 3 2 1 2 2 3 7 11 8 -0 -7 -6 -4 -3 2 1 0 6 8 5 2 0 -2 -3 -1 -1 -1 2 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 6 7 6 6 6 6 6 6 5 5 5 5 5 4 3 3 4 4 4 3 3 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 3 4 4 5 5 5 4 6 10 15 18 18 16 16 15 18 22 19 12 9 7 7 9 10 12 13 10 11 12 9 10 9 9 12 13 10 7 7 6 5 5 5 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 4 5 5 4 4 3 3 3 3 4 4 4 3 4 5 6 7 6 6 5 5 5 6 7 7 7 7 8 8 9 9 8 9 8 8 9 11 11 11 12 13 13 11 10 8 7 6 5 6 7 8 7 7 7 7 7 6 5 5 5 5 5 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 5 5 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 5 5 5 5 5 5 6 6 5 4 5 6 5 5 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 5 5 4 4 4 5 5 6 7 7 7 7 6 5 4 3 3 3 2 2 2 2 3 3 2 2 3 3 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 10 13 14 13 9 9 21 31 17 -5 -8 1 9 10 7 4 3 2 3 3 3 2 3 3 3 5 7 8 7 7 6 6 6 7 11 15 15 13 11 6 3 6 14 11 2 3 9 8 5 4 6 12 10 4 2 4 6 8 7 5 4 4 5 4 1 3 4 4 5 5 5 5 5 4 2 3 4 5 6 5 4 4 -4 -11 -8 -6 -8 -1 0 -1 6 9 5 1 -5 -9 -7 -3 1 3 6 8 5 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 4 5 5 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 4 5 4 4 3 4 4 4 4 4 3 3 2 1 1 2 3 4 4 5 6 6 6 5 5 5 6 9 12 12 12 12 14 20 24 20 14 12 11 11 12 13 15 15 14 14 14 13 11 9 8 9 7 5 4 4 4 5 4 4 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 6 6 7 6 5 5 5 4 5 5 6 7 7 7 7 7 8 8 8 8 9 11 12 11 11 11 11 10 9 8 8 7 6 6 7 7 7 6 6 5 5 5 5 4 5 5 5 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 4 5 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 6 6 7 6 5 4 5 5 5 5 3 3 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 7 7 7 6 5 5 4 3 3 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 2 2 3 3 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 9 13 16 13 6 5 16 22 9 -11 -17 -6 7 12 11 7 4 3 3 3 3 3 2 3 3 5 6 7 7 7 6 6 6 10 14 15 11 9 10 10 5 1 9 12 4 3 11 11 9 6 4 6 6 3 2 5 8 9 8 4 1 1 3 3 2 2 4 5 4 4 5 6 6 6 5 6 7 8 7 5 4 5 -3 -11 -6 -5 -6 -0 3 4 12 13 6 -1 -9 -10 -5 2 9 8 7 10 6 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 4 5 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 4 4 4 3 2 1 1 1 2 4 5 5 6 6 6 6 6 6 6 5 5 6 6 5 5 6 10 16 20 17 15 14 12 9 9 11 11 9 10 10 9 9 7 6 6 5 5 5 5 5 5 4 4 3 3 2 2 1 1 2 3 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 5 5 6 6 6 6 5 5 5 4 4 5 4 4 3 4 5 6 6 6 6 6 5 4 4 4 5 6 6 6 6 7 8 7 8 8 9 11 12 11 10 9 9 8 8 8 7 7 8 8 10 12 11 7 5 4 5 5 5 5 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 6 6 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 6 7 8 8 7 7 8 7 6 4 4 5 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 4 6 7 6 4 3 3 5 5 6 6 6 6 5 5 4 4 3 3 3 3 3 4 3 3 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 8 11 15 13 5 2 5 1 0 -4 -12 -6 6 11 13 12 8 5 3 3 3 3 3 3 3 5 6 7 7 7 6 6 9 13 14 11 8 7 9 12 7 2 8 13 5 1 5 12 16 12 7 5 6 6 4 4 7 11 11 7 4 1 1 1 2 3 5 5 5 5 6 6 6 7 9 8 6 7 7 4 5 7 1 -6 -4 -1 3 9 12 12 15 13 6 -0 -7 -7 0 11 16 10 9 10 5 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 6 5 5 5 4 4 4 4 3 3 3 4 3 3 3 2 2 2 2 3 4 5 6 6 6 5 5 6 6 6 6 6 6 5 4 3 3 5 7 9 9 10 10 8 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 6 6 5 4 3 3 2 2 2 1 2 1 1 1 3 4 4 3 3 3 3 3 4 4 5 5 5 6 6 5 6 6 7 7 6 6 6 6 5 5 5 4 4 4 5 6 6 6 6 6 5 4 3 4 4 5 6 6 7 8 7 7 7 7 9 10 11 11 10 9 8 7 8 7 6 6 7 11 16 19 16 9 4 4 4 4 5 4 3 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 6 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 8 8 7 8 8 7 5 4 4 5 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 7 9 7 3 2 2 3 4 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 6 6 6 6 6 9 16 17 8 -0 -5 -14 -11 -2 -2 1 6 9 12 15 12 7 4 3 3 3 3 3 3 5 6 7 7 6 6 9 13 14 11 9 6 3 8 15 7 1 9 16 7 1 0 7 18 17 7 5 5 3 1 2 4 7 10 11 10 5 1 0 2 4 5 6 6 6 7 5 5 7 10 8 2 5 7 4 7 7 3 1 -1 2 10 15 16 14 15 16 9 1 -5 -3 7 17 17 10 9 10 5 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 4 5 5 5 5 5 5 5 6 6 7 7 6 5 2 1 3 5 5 5 5 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 3 2 1 1 1 2 4 4 1 -1 -2 0 2 3 3 3 3 3 3 3 4 5 6 6 5 5 5 6 7 7 6 6 7 7 6 5 5 5 5 4 5 5 6 6 6 6 6 5 3 3 4 4 5 6 7 8 8 8 7 6 7 8 9 9 9 9 9 9 9 8 6 6 7 10 16 20 17 8 3 3 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 6 5 5 4 3 2 2 2 1 1 1 1 1 1 2 2 4 5 6 7 8 8 8 8 7 5 3 3 4 5 6 6 5 4 3 3 4 4 5 5 5 4 4 4 4 4 3 4 7 9 7 3 2 2 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 5 5 6 6 7 7 7 7 6 6 7 10 21 27 18 7 -1 -13 -15 -3 3 6 7 9 12 14 14 11 7 4 3 3 4 3 3 4 6 7 7 6 7 10 11 10 9 9 8 1 2 15 14 2 6 13 8 2 -0 2 16 21 7 1 1 0 1 3 3 1 3 8 10 7 3 1 3 5 6 7 7 8 8 5 5 7 9 6 5 9 9 6 8 5 4 7 2 1 7 10 10 10 17 21 13 1 -4 0 13 20 15 8 10 12 7 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 5 4 4 3 3 2 2 2 3 2 3 4 4 5 4 4 4 4 5 5 7 8 8 5 2 0 1 2 4 6 6 7 6 5 4 4 5 6 5 5 5 5 4 4 3 4 4 4 4 4 4 3 2 2 1 0 1 2 5 8 7 1 -6 -7 -3 1 3 3 3 3 3 3 4 4 5 6 6 5 5 5 5 5 6 6 6 7 6 5 5 5 5 5 5 4 5 6 6 6 6 5 4 4 3 3 4 5 6 8 9 9 8 6 6 7 7 8 8 8 8 9 9 8 8 7 7 9 12 14 12 7 4 3 4 4 4 4 4 4 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 5 4 4 3 2 2 1 1 1 1 1 0 0 1 1 2 2 4 5 7 7 8 7 7 5 3 2 2 4 6 6 7 6 4 3 3 4 6 6 6 5 4 4 5 4 4 4 7 9 8 5 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 5 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 7 8 8 8 9 16 25 27 23 21 13 -5 -13 -4 4 6 7 9 11 14 15 13 8 5 3 3 4 3 3 4 5 7 7 6 7 6 6 6 6 9 13 6 -3 -0 7 5 5 8 6 2 1 -0 13 25 12 -2 -3 -2 3 6 5 1 -1 1 4 4 3 4 6 6 6 6 7 8 8 7 7 9 8 7 11 13 10 8 6 3 6 8 6 5 6 6 5 12 23 24 13 1 -3 4 17 19 11 7 12 14 7 3 4 4 4 3 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 7 8 7 4 2 0 1 2 5 7 8 7 5 4 4 5 5 5 6 5 5 4 4 4 3 4 3 3 3 3 2 2 2 2 1 2 2 5 11 13 10 -0 -9 -9 -4 1 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 4 5 5 6 7 6 5 5 5 5 4 5 5 5 6 6 6 6 4 4 4 3 4 4 5 7 9 10 9 7 6 5 6 7 7 7 7 7 8 8 8 8 9 10 11 10 8 5 3 3 3 3 3 3 2 3 4 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 2 2 1 1 0 0 1 2 3 5 6 7 7 7 5 4 2 2 3 5 7 8 7 5 3 3 4 5 6 6 5 5 4 5 4 5 5 6 9 9 6 4 3 3 3 4 5 5 6 6 7 6 6 6 5 4 4 4 5 6 6 5 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 7 7 7 9 11 12 17 23 20 17 19 19 11 -3 -9 -2 3 5 7 9 11 14 15 13 10 6 4 4 4 3 3 4 5 6 6 6 6 3 3 3 3 5 11 12 3 -6 -6 -2 2 5 7 6 4 1 10 23 17 2 -2 -0 4 7 7 5 2 1 1 2 3 6 9 8 5 4 6 6 7 8 9 9 7 8 11 10 9 9 4 3 8 9 13 18 14 8 9 21 30 23 10 1 0 10 19 15 7 7 11 14 8 3 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 4 5 5 5 5 5 4 3 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 7 7 6 4 2 1 2 3 6 7 8 6 4 3 3 3 4 5 4 4 4 3 4 3 4 3 3 3 2 2 2 2 2 3 4 4 7 10 14 14 8 1 -5 -5 1 5 5 4 4 3 3 3 3 4 5 5 5 5 3 2 2 3 4 6 6 6 5 4 5 5 4 4 5 5 5 5 6 6 5 4 4 3 3 4 4 6 8 10 10 8 7 6 5 5 6 6 6 6 6 6 7 8 10 10 10 12 11 5 2 2 1 1 1 1 1 3 4 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 5 5 6 6 6 6 7 7 7 7 6 5 4 3 1 -0 -0 0 1 3 5 6 7 7 6 5 3 2 3 4 7 8 7 5 4 3 4 5 5 6 6 5 4 4 5 5 5 6 8 10 8 5 3 3 4 4 5 5 6 7 7 7 7 7 7 6 5 5 5 6 6 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 3 3 4 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 5 4 5 5 6 7 8 9 10 13 15 18 24 22 11 11 18 3 -7 -3 -1 2 3 5 7 9 11 13 14 13 11 8 5 4 4 3 3 4 5 7 10 10 6 4 3 4 3 2 2 5 9 9 5 -1 -1 3 7 9 8 5 8 13 13 6 3 4 3 5 4 5 5 4 3 3 2 4 8 8 5 4 5 5 6 7 8 8 7 8 8 5 6 7 5 6 7 8 16 24 20 16 21 31 30 18 6 1 6 16 18 10 6 7 12 15 10 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 2 3 4 6 7 6 4 3 2 2 3 3 3 3 3 3 3 3 4 4 3 3 2 2 3 3 3 4 3 5 9 11 12 12 11 9 6 2 4 7 6 4 4 3 3 3 3 4 4 5 5 5 4 2 1 2 3 4 5 7 7 4 3 4 5 4 4 4 5 5 5 5 6 5 4 4 3 3 4 5 7 9 10 10 9 7 6 5 5 5 5 5 4 5 5 7 8 7 9 13 12 10 8 4 1 1 1 1 1 2 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 3 4 5 5 5 5 5 6 8 8 9 9 9 8 6 4 2 -0 -1 -1 1 3 5 7 7 7 6 5 5 4 5 6 7 6 5 4 3 4 4 5 6 6 5 5 4 4 5 5 6 8 9 7 5 5 4 4 4 4 4 5 5 6 7 7 8 8 8 8 6 6 6 5 3 3 3 4 3 3 3 3 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 6 8 10 13 15 19 21 21 23 25 14 4 11 19 -0 -13 -2 3 3 4 5 6 8 10 13 14 14 13 9 6 4 4 3 3 4 6 10 13 11 7 7 5 4 8 5 2 2 2 5 8 8 6 5 7 9 11 10 9 5 3 3 4 5 4 3 3 5 7 6 6 5 2 1 2 5 6 6 6 6 5 6 7 7 7 7 6 4 6 7 7 7 4 2 8 15 18 22 29 31 23 12 5 4 11 16 12 6 5 9 13 15 9 4 4 4 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 5 4 3 4 4 5 6 6 5 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 4 4 4 4 6 12 17 12 6 9 12 8 5 8 10 7 5 4 3 3 3 3 4 4 4 4 5 5 5 1 -1 3 4 4 6 8 6 3 4 5 5 4 4 4 5 5 5 6 5 5 4 4 3 4 4 5 7 9 10 10 9 8 6 6 6 5 4 4 5 5 6 6 7 8 9 10 12 13 10 6 3 2 2 2 2 4 5 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 3 4 4 4 4 4 5 6 8 9 9 10 10 10 8 6 3 0 -1 -1 1 3 5 7 7 7 7 7 6 5 6 6 6 5 4 3 3 3 3 4 5 5 5 5 4 4 5 6 7 7 6 5 5 5 4 4 3 3 3 4 4 5 6 7 8 9 9 9 8 6 4 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 9 13 15 19 24 27 27 25 26 20 6 3 14 17 5 -3 -0 3 4 4 5 6 7 9 12 14 15 14 10 6 4 4 4 4 5 7 10 10 9 9 10 5 2 10 9 8 11 8 1 -0 4 8 8 7 9 11 14 12 4 -1 -0 3 5 5 3 3 5 7 6 7 8 5 0 1 4 5 6 7 8 7 7 8 7 6 5 4 4 6 8 9 6 -1 -5 -2 4 11 21 26 22 14 8 5 7 11 12 7 4 6 10 13 13 8 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 3 4 4 4 5 4 4 3 3 3 3 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 4 3 3 4 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 5 5 3 6 20 28 14 -1 1 9 10 8 10 12 9 6 5 4 3 3 4 4 4 4 5 5 5 7 4 -1 2 3 4 4 6 7 5 4 5 4 4 4 4 4 5 5 5 6 6 5 4 4 4 4 4 5 7 8 9 10 9 7 7 6 6 5 5 5 5 5 5 5 6 5 6 10 14 16 13 9 5 3 3 3 4 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 6 5 4 3 3 3 4 4 4 4 4 5 7 7 8 10 11 11 10 7 3 2 1 0 1 3 5 7 7 8 9 8 6 5 5 6 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 3 4 4 4 4 4 4 3 3 3 3 3 4 6 8 10 11 9 7 4 3 2 2 2 3 3 3 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 4 4 4 6 13 19 20 23 26 26 22 22 25 15 2 6 13 10 4 2 1 3 4 4 5 6 7 8 11 14 15 14 11 7 5 4 5 6 6 6 6 5 2 2 6 6 3 8 11 10 12 15 9 3 2 5 7 7 8 10 13 12 5 0 1 3 5 6 4 4 6 7 5 6 9 8 3 2 4 6 7 10 11 9 8 8 7 7 4 4 5 4 7 8 6 -1 -7 -5 1 8 17 20 15 9 5 4 6 8 6 4 4 7 10 14 13 7 4 5 5 4 4 4 4 5 5 5 5 5 4 5 4 4 4 5 5 6 6 6 6 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 4 4 4 5 5 5 4 4 3 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 3 8 25 34 16 -4 -6 -0 7 11 12 12 10 7 6 5 4 3 3 4 4 5 5 5 5 6 6 3 2 3 3 3 3 4 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 5 6 8 10 10 9 7 7 7 7 7 6 6 6 5 4 4 3 4 8 13 18 19 16 9 5 4 4 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 4 5 5 4 2 2 4 5 7 7 5 4 4 5 6 6 7 9 11 12 11 8 5 3 2 1 2 3 5 6 8 8 9 7 5 5 6 5 4 3 2 3 4 4 3 3 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 3 2 1 2 2 3 5 8 10 11 9 6 4 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 5 8 15 18 19 19 18 15 14 17 20 10 1 4 7 3 1 2 3 4 4 5 5 6 7 8 10 13 16 15 11 7 5 5 8 11 11 7 3 1 -3 -3 1 4 5 4 5 4 5 7 9 10 8 6 6 7 6 6 9 10 5 3 4 5 6 5 4 5 7 8 5 5 6 7 5 3 5 6 8 10 11 11 10 11 11 7 3 5 5 4 5 7 8 7 2 1 6 11 15 15 9 3 1 2 2 3 4 3 4 9 12 14 11 6 4 5 5 5 5 4 4 5 5 6 6 5 4 4 4 4 5 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 5 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 3 4 3 3 3 3 2 2 2 4 5 6 6 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 8 24 32 17 -0 -4 -3 -0 8 12 12 10 8 6 5 4 4 4 3 4 5 5 5 5 5 5 4 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 4 6 7 9 9 9 7 7 7 8 8 8 8 8 7 6 4 4 4 7 11 15 19 17 10 6 5 6 6 7 8 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 1 2 3 3 3 2 4 6 9 9 7 5 4 4 5 5 5 6 8 11 12 11 9 6 4 2 3 3 4 6 7 8 9 7 6 5 5 5 4 3 3 4 5 5 4 3 4 5 7 6 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 2 1 1 2 3 4 8 10 10 9 6 4 3 3 2 2 3 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 7 12 17 16 15 13 10 9 10 13 12 3 -3 -1 2 2 1 2 3 4 4 5 5 6 6 8 9 12 15 15 12 7 5 7 10 14 14 8 2 0 -1 0 2 4 6 4 2 2 2 2 5 6 8 7 7 7 4 3 7 10 8 6 9 9 7 5 5 6 7 9 8 5 3 3 5 4 5 6 6 7 9 9 12 17 15 6 5 8 6 4 5 6 10 16 16 12 13 16 16 11 3 -2 -0 2 1 4 7 6 7 11 12 11 9 6 4 5 5 5 5 5 4 5 6 6 6 6 5 3 3 4 4 5 5 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 3 3 4 4 4 4 4 5 5 4 4 3 3 3 4 4 5 5 5 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 5 5 5 4 3 3 3 3 4 4 4 4 5 5 5 5 6 5 5 6 5 5 4 4 6 19 27 16 5 2 -1 -2 4 10 10 9 8 7 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 5 4 4 4 4 4 4 5 6 6 7 6 5 4 4 4 4 4 5 6 7 8 8 7 6 6 7 8 9 10 10 9 8 7 5 5 6 8 10 14 13 9 6 7 7 7 8 8 9 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -0 -1 -0 1 2 2 2 3 5 9 10 9 6 4 4 5 5 4 5 6 8 11 11 11 9 7 6 6 6 5 6 5 6 7 7 6 6 6 5 5 4 3 5 7 7 6 5 5 8 8 7 5 3 3 3 4 4 4 4 4 4 4 5 5 4 4 3 3 2 2 2 3 5 8 10 11 10 7 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 3 3 6 11 17 18 15 12 10 9 9 11 13 4 -4 -9 -3 1 2 2 2 3 3 4 5 5 6 6 7 9 11 14 14 11 5 4 7 9 11 9 5 1 0 1 4 6 9 11 9 5 4 4 3 4 5 8 9 8 5 2 3 7 12 11 8 10 13 12 9 6 3 5 9 9 4 1 2 4 4 5 5 3 5 7 6 6 10 11 7 7 7 6 5 5 5 7 13 18 16 17 19 15 7 -1 -4 2 6 6 9 11 9 10 12 11 9 9 8 5 6 5 5 5 5 4 5 6 6 5 6 4 4 3 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 4 3 3 4 4 4 5 5 5 4 4 3 3 3 4 4 4 5 5 5 6 6 6 5 4 5 5 5 5 5 5 5 6 5 5 5 6 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 2 3 2 2 3 3 2 3 3 3 3 3 5 5 4 3 3 2 2 3 3 4 4 4 4 5 5 6 5 5 6 5 5 5 5 4 7 14 21 16 8 4 1 1 3 6 7 8 8 7 8 7 7 7 6 5 5 6 6 5 5 6 6 6 7 6 5 4 3 4 4 5 4 5 5 4 4 4 4 4 5 6 7 7 6 5 5 5 5 4 4 5 5 6 7 6 5 4 5 6 9 10 11 11 10 9 7 6 6 6 8 10 9 8 7 7 7 7 8 9 9 10 10 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 -0 1 2 2 2 3 6 9 9 6 4 4 4 5 5 5 5 7 8 9 10 11 12 11 11 10 7 5 3 2 3 5 6 6 6 6 4 4 4 5 6 8 8 7 8 10 8 6 4 3 3 4 4 5 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 5 8 10 10 9 7 7 6 5 5 5 6 7 6 5 5 4 5 5 5 6 6 6 6 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 3 4 9 13 14 13 11 9 9 9 10 11 14 6 -7 -9 -2 2 2 2 3 3 3 4 5 5 6 7 7 8 10 12 12 10 4 1 4 7 8 7 4 2 2 2 3 6 11 17 16 8 3 4 6 7 11 10 8 7 3 2 4 6 9 10 7 5 8 13 14 8 3 2 6 6 3 2 4 5 5 5 5 3 3 5 4 1 2 6 7 6 5 5 6 5 1 -4 0 11 16 20 20 13 4 -2 -0 7 10 11 13 13 11 12 11 10 9 10 8 5 5 6 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 5 5 5 6 6 5 5 5 5 5 5 4 3 3 4 4 4 4 5 5 4 4 3 3 3 4 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 3 3 2 2 3 3 3 3 4 4 3 4 5 5 4 3 3 3 3 3 3 3 4 4 3 4 5 5 5 6 6 6 6 5 5 5 7 10 16 17 10 3 2 2 3 4 4 5 6 7 8 9 8 9 8 7 6 6 6 6 5 5 6 7 8 8 7 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 6 7 7 6 5 5 5 4 5 5 4 5 5 5 5 4 3 4 7 9 11 12 12 11 9 7 6 5 6 8 9 9 8 8 7 7 7 8 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 2 1 3 5 4 2 1 4 6 7 6 4 3 3 4 4 4 5 5 6 7 9 12 14 16 15 12 8 4 1 0 1 2 3 5 6 5 4 3 4 4 5 6 7 9 10 10 8 4 3 3 4 4 5 5 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 5 7 8 8 8 8 8 7 7 7 8 9 8 7 7 6 6 7 7 7 8 8 8 7 7 6 6 5 5 4 4 5 5 4 3 3 3 3 3 3 4 4 5 5 6 4 4 4 7 10 10 9 8 8 9 10 10 11 16 13 -2 -3 0 3 2 3 3 3 4 4 5 5 6 7 8 8 9 10 10 7 2 -1 3 7 8 10 9 7 5 4 2 1 5 14 18 12 4 3 5 7 10 8 2 1 3 6 6 3 4 7 8 5 3 7 12 9 4 2 4 5 5 6 6 6 6 6 6 5 4 5 5 5 7 10 10 5 3 4 5 3 -1 -6 -2 9 18 23 19 10 2 -1 5 13 15 14 12 11 11 10 10 10 9 9 7 4 4 5 5 5 4 4 5 5 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 4 3 3 4 5 4 4 5 5 5 4 3 3 3 3 4 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 5 4 4 4 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 4 4 4 3 1 0 1 1 2 3 3 4 4 4 5 6 6 6 7 6 6 5 5 6 9 13 17 10 2 2 3 3 3 3 4 4 5 6 7 9 10 10 8 7 6 6 6 5 5 5 7 8 9 9 8 5 4 4 4 4 4 5 5 5 4 4 3 3 4 6 7 7 6 6 5 5 4 5 4 4 4 4 5 5 4 4 4 5 6 9 12 13 12 11 8 6 5 5 7 10 12 11 9 6 6 6 6 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 7 6 6 9 8 3 -0 1 4 5 4 3 2 2 2 3 3 4 5 5 5 7 11 14 15 14 10 6 3 1 1 1 1 2 3 5 5 4 3 3 4 4 4 5 7 8 7 5 3 2 3 4 5 5 5 4 3 2 2 2 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 6 5 5 4 5 5 4 3 3 3 2 3 3 3 4 5 5 5 4 3 3 4 6 8 8 8 8 9 10 9 12 18 14 4 2 3 3 2 2 3 3 4 4 5 5 6 7 8 8 9 9 9 8 4 1 3 7 9 11 12 8 6 8 6 3 2 6 11 11 6 4 3 4 5 4 2 1 5 8 7 5 4 8 10 7 4 4 7 7 4 4 5 7 8 9 8 6 6 5 6 6 5 8 11 12 13 11 7 4 4 6 5 1 -2 -4 -0 9 20 22 16 8 2 2 9 16 16 13 10 8 8 9 10 9 8 7 7 5 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 6 6 5 4 3 3 3 4 5 5 4 5 5 4 3 3 3 3 3 5 5 5 5 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 3 -4 -8 -7 -6 -6 -3 1 3 4 4 5 5 5 6 6 6 6 6 6 6 6 7 12 14 10 4 2 3 3 3 3 4 4 4 4 5 7 8 9 8 7 6 5 5 5 4 4 5 6 9 10 9 8 6 5 4 4 4 5 5 5 5 5 3 3 4 5 6 7 6 6 5 5 5 5 5 4 4 4 4 4 5 5 4 4 5 7 10 12 13 13 11 8 5 4 6 9 12 12 9 5 5 5 5 6 6 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 8 9 11 11 5 0 -0 2 3 3 2 2 2 1 1 2 3 3 4 4 5 9 12 12 9 6 4 3 4 3 2 2 2 3 4 5 4 3 3 4 4 3 3 4 5 5 4 3 3 4 5 6 6 5 4 2 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 5 5 4 3 3 3 4 5 5 6 5 5 5 6 6 6 8 8 9 9 8 7 7 7 8 8 8 7 6 5 5 5 5 5 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 5 8 10 9 8 9 11 10 13 13 7 4 4 3 2 2 2 3 4 4 4 4 5 5 6 8 10 11 10 10 10 7 3 3 6 9 9 7 5 5 6 9 9 6 4 4 5 6 7 7 4 2 4 4 2 1 5 8 7 10 12 10 6 3 2 3 4 5 5 5 5 7 7 6 5 5 6 7 8 8 11 11 7 3 4 4 8 13 14 9 4 2 -1 2 12 21 19 12 7 3 6 12 15 15 11 8 6 7 9 10 8 7 9 10 6 5 6 5 6 5 4 4 5 5 5 4 5 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 6 5 5 5 5 6 5 5 4 3 3 4 5 5 5 5 5 5 4 3 2 2 3 4 5 5 5 5 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 2 2 3 3 3 2 3 3 4 4 4 4 4 4 2 -6 -21 -25 -15 -12 -9 -7 -4 0 3 4 5 5 5 6 6 6 6 7 6 6 6 7 9 11 10 6 4 3 3 3 3 3 4 4 4 4 5 5 6 7 6 5 5 5 5 4 3 3 4 6 10 11 11 8 6 5 4 4 4 4 5 5 5 4 4 4 5 6 7 7 7 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 6 9 11 13 13 12 9 7 5 4 6 10 9 6 4 5 5 5 5 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 9 11 12 8 3 -0 0 2 2 1 1 1 0 -0 1 2 3 3 3 4 7 10 9 6 4 3 5 5 5 4 3 2 2 3 4 4 4 4 4 4 4 4 3 4 4 5 5 6 7 7 6 6 4 3 2 2 2 2 2 2 2 2 3 4 4 4 4 4 3 4 5 6 6 4 3 2 2 3 3 3 4 3 3 3 4 5 6 7 7 6 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 6 10 11 9 9 10 11 12 14 7 2 3 4 3 1 2 3 3 4 4 4 4 4 5 9 14 16 14 12 11 10 7 3 2 4 7 7 7 7 5 7 12 13 8 4 3 4 6 7 9 7 7 9 6 0 -2 2 7 8 11 13 8 4 1 -1 1 5 7 7 4 2 3 3 3 3 5 7 8 8 6 3 -0 -6 -7 -0 6 13 19 21 22 20 12 6 9 16 20 16 11 6 4 9 14 15 15 11 7 5 6 8 8 7 9 11 7 3 4 5 5 6 5 5 5 5 5 5 5 5 4 4 5 6 6 6 5 5 5 6 6 5 6 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 6 6 5 5 5 6 6 5 4 3 3 4 5 5 5 5 5 5 5 4 3 2 2 3 6 7 7 6 5 5 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 3 3 3 2 2 3 3 3 2 3 3 4 4 5 4 4 3 -1 -14 -34 -36 -18 -6 -2 -3 -3 1 4 5 5 5 5 6 6 6 6 6 6 5 6 7 7 8 8 6 5 4 3 2 3 3 4 4 5 5 5 5 6 6 6 6 5 5 5 4 3 2 3 4 7 11 13 11 8 6 5 4 4 4 5 5 5 4 4 5 6 7 7 7 7 7 6 5 4 4 5 5 4 4 4 4 5 6 6 6 5 7 10 12 12 12 11 9 7 6 6 7 6 4 5 6 6 7 7 7 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 7 9 12 11 6 2 0 1 1 1 1 1 -0 -0 0 1 3 4 3 3 5 8 8 5 4 4 5 6 6 4 3 2 1 2 3 4 4 4 4 4 5 5 5 5 5 6 7 9 9 9 6 4 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 6 7 7 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 2 2 3 4 4 6 6 6 5 5 4 4 5 5 4 4 3 3 4 3 4 4 4 4 4 4 5 6 9 12 11 10 10 12 11 17 18 8 3 3 3 2 1 2 3 3 4 4 4 4 4 7 15 22 20 14 12 10 6 4 3 2 3 5 7 9 10 5 5 12 17 12 4 1 3 5 7 8 8 10 11 8 3 0 2 4 4 5 8 7 3 0 0 6 11 12 8 3 1 1 1 1 2 4 4 3 1 -2 -5 -6 -4 1 5 8 14 21 27 33 30 19 12 14 17 18 13 8 4 6 12 16 16 13 9 5 5 7 9 8 7 8 8 3 2 3 5 6 6 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 5 5 6 6 5 4 3 3 4 5 5 5 5 5 5 6 5 4 3 3 3 6 8 9 8 6 5 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 4 4 5 5 5 4 2 -2 -13 -28 -31 -15 1 4 3 2 3 4 5 4 5 5 6 6 6 6 6 5 5 5 6 6 7 6 6 5 5 4 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 5 4 3 3 2 3 5 9 13 13 10 8 6 4 4 4 4 5 4 4 5 5 6 6 7 7 7 7 6 5 4 4 5 6 5 5 4 3 4 6 8 7 5 7 9 11 12 12 11 10 9 8 7 6 6 5 6 7 8 9 9 8 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 6 7 10 12 10 6 2 1 1 2 1 1 1 1 1 2 3 4 3 3 5 7 7 6 4 4 5 6 6 5 2 1 1 1 3 5 5 5 4 5 5 6 6 5 4 5 7 9 10 8 5 3 2 3 3 4 4 5 5 4 4 3 4 4 4 4 4 4 3 2 2 4 7 9 9 7 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 2 3 3 4 5 6 6 5 5 5 5 4 4 5 4 4 4 4 3 4 4 3 3 4 5 7 10 12 11 11 12 14 15 22 21 8 4 4 3 2 2 2 3 3 4 5 4 3 7 13 19 22 19 16 13 8 3 3 3 4 5 6 8 10 10 3 0 6 13 15 7 2 3 4 6 7 4 4 7 8 5 4 4 3 1 -2 1 4 2 2 6 14 15 10 6 3 1 1 2 2 2 2 0 -1 -2 -3 -3 -0 2 5 6 13 20 26 33 34 27 20 17 17 17 15 9 5 4 9 13 15 14 10 6 5 6 7 8 8 7 8 6 4 3 3 5 7 6 6 6 5 5 6 6 5 5 5 5 5 6 5 5 5 5 5 6 6 6 5 5 4 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 4 6 9 10 9 7 6 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 4 4 4 5 5 6 4 2 -1 -7 -14 -17 -9 2 5 4 1 -1 2 5 4 5 5 5 6 6 6 6 5 5 5 6 6 7 7 6 6 5 4 3 3 3 4 4 4 4 4 5 5 6 6 7 7 6 5 4 4 3 3 2 3 7 11 12 11 9 7 6 5 4 5 4 4 4 5 5 5 6 7 7 7 7 7 6 5 5 5 6 6 5 5 4 4 6 8 8 6 7 8 10 11 11 11 10 10 9 8 7 7 7 7 8 9 10 10 9 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 8 10 11 9 6 3 2 3 3 3 3 3 3 3 3 3 3 3 4 6 7 6 5 4 4 5 5 5 3 1 1 3 4 5 6 6 5 5 6 7 6 4 3 3 5 7 8 6 3 2 3 3 4 5 6 5 6 5 4 4 4 5 5 4 4 4 4 3 2 3 6 9 10 9 7 6 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 2 2 2 3 4 5 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 4 5 7 10 11 11 12 14 17 21 22 10 3 3 4 3 2 2 3 3 4 4 4 4 6 12 15 16 17 20 21 14 5 2 3 4 5 7 10 12 12 9 3 0 2 6 11 10 7 6 5 5 7 5 3 4 6 6 7 6 5 3 -2 -1 3 5 9 15 13 9 5 3 3 2 3 3 3 3 3 2 1 1 2 2 4 7 10 12 20 27 29 29 24 17 17 20 20 16 11 6 3 5 10 11 11 11 8 6 6 7 7 7 5 7 7 5 4 5 5 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 6 5 5 5 4 3 4 5 5 5 5 4 4 5 5 4 3 3 4 6 10 10 9 7 6 6 5 5 6 6 5 5 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 5 4 5 6 5 4 4 2 -1 -3 -3 1 3 2 1 -2 -3 2 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 5 5 4 3 2 4 4 4 4 5 5 5 5 6 7 7 7 6 5 4 4 4 3 4 6 7 9 10 10 9 7 6 5 5 5 5 4 4 4 4 5 6 6 7 7 7 7 6 5 4 5 6 6 6 5 5 6 8 8 6 6 7 8 10 11 11 10 9 9 8 7 6 7 8 9 10 10 11 11 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 2 3 4 5 7 9 9 8 5 5 5 4 5 6 6 5 5 5 5 4 3 4 5 8 8 6 3 3 4 5 4 3 3 3 4 6 6 7 7 6 6 6 5 5 3 3 4 4 4 5 3 2 2 4 5 6 6 6 6 6 5 5 5 5 5 6 5 5 6 5 4 3 2 4 6 8 7 6 6 6 5 5 5 5 6 6 5 4 4 3 3 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 3 4 4 5 7 10 12 12 12 14 19 22 15 -0 -2 2 4 3 3 3 3 3 3 4 4 5 8 11 11 10 12 18 20 14 6 4 3 5 6 6 7 8 7 7 6 5 6 6 7 10 11 10 9 9 9 8 5 2 3 5 7 9 9 6 2 2 7 11 13 14 7 3 1 2 3 3 3 4 4 5 5 6 5 5 5 6 7 10 15 20 22 24 23 21 16 11 12 17 18 12 6 2 3 7 10 11 10 10 9 6 6 7 7 4 3 7 7 4 4 6 7 8 7 6 5 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 3 3 4 6 9 10 9 7 6 6 5 5 6 6 6 5 5 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 6 6 6 6 6 6 4 4 3 3 3 4 4 4 5 5 6 10 14 16 16 10 4 -0 1 2 2 2 0 -1 3 5 6 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 6 6 4 2 3 5 5 5 5 5 5 5 6 7 8 7 6 6 5 5 5 5 4 5 5 6 7 9 10 9 8 7 6 6 6 5 5 4 4 4 4 5 5 6 7 7 6 6 5 4 5 6 7 7 6 6 7 7 6 5 6 7 8 9 10 10 9 8 7 6 5 5 7 9 10 11 12 12 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 2 3 3 3 5 6 6 7 7 6 6 5 5 7 6 6 6 7 7 6 5 4 5 8 9 7 5 3 4 4 4 4 4 4 5 7 7 7 8 8 8 6 4 3 4 4 5 4 3 2 2 3 5 6 7 7 7 7 6 6 5 5 5 5 6 6 7 6 6 6 5 4 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 5 4 4 3 3 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 5 8 13 15 13 12 13 17 15 7 -0 -2 3 4 4 3 4 3 3 4 4 4 5 7 8 6 5 7 12 16 15 12 8 5 5 7 5 2 1 2 6 8 8 8 7 7 8 10 11 11 14 11 8 6 4 4 3 6 11 12 8 5 7 12 12 7 3 1 -0 1 2 3 4 4 4 5 6 7 7 7 6 8 9 10 10 16 21 15 13 14 13 11 8 10 14 13 6 -0 0 5 8 10 10 9 10 9 5 5 6 6 3 5 8 8 4 4 7 9 10 8 6 5 5 6 7 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 3 2 2 3 6 9 10 8 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 7 7 7 7 7 6 4 4 3 4 4 5 5 5 5 7 13 16 18 18 14 7 3 4 4 4 4 2 1 3 5 6 6 6 6 6 6 5 5 5 5 5 6 7 7 5 5 5 6 7 6 5 4 5 6 5 5 5 5 5 6 7 7 6 5 5 6 6 6 6 6 5 4 4 5 6 8 10 10 9 8 8 7 6 5 5 4 4 3 3 5 5 6 7 7 7 6 5 5 6 7 7 7 6 7 7 6 5 4 6 7 8 9 9 8 7 6 4 3 5 7 8 9 11 11 12 11 10 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 8 6 5 5 5 4 5 6 7 7 7 6 6 5 5 5 5 5 7 9 9 7 5 5 6 9 9 7 5 4 4 4 4 4 5 5 6 7 8 9 10 9 8 6 5 5 5 5 4 4 3 3 5 7 8 8 7 7 7 6 6 5 5 5 6 6 6 7 7 6 6 5 4 4 4 4 3 3 3 3 4 4 5 5 5 6 6 6 6 5 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 4 4 4 4 4 6 10 16 19 16 11 8 12 13 4 1 2 2 3 4 4 4 4 4 4 4 5 5 5 6 5 3 3 5 9 12 14 15 12 8 7 8 7 2 2 6 8 5 3 3 6 7 6 8 9 10 14 13 8 9 8 6 4 5 10 11 9 10 13 13 8 2 -1 -1 -1 1 3 5 5 6 6 7 7 8 8 7 7 10 14 13 7 10 12 7 5 6 6 6 7 12 13 6 -2 -2 5 8 8 10 10 10 10 8 4 4 6 5 4 7 9 7 4 4 6 11 13 10 6 5 5 6 7 9 8 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 5 5 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 2 1 1 5 8 9 8 6 5 5 4 5 7 7 7 7 6 5 5 5 5 5 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 6 7 8 8 8 8 8 7 6 5 5 4 4 5 5 5 5 4 6 7 7 9 11 9 6 6 6 7 6 5 4 -0 -1 4 5 6 6 6 7 8 7 6 4 4 5 6 6 6 5 5 5 6 7 7 7 6 6 6 6 6 5 5 5 6 6 5 4 4 5 6 7 7 7 7 6 5 4 4 4 5 7 9 10 10 9 7 6 6 6 5 4 4 3 4 5 5 6 6 7 7 6 6 6 6 7 7 6 6 7 7 5 4 5 6 7 7 8 8 7 5 4 3 4 6 7 9 10 11 11 11 12 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 15 13 12 10 10 9 9 9 9 10 10 10 9 8 6 5 4 4 3 4 7 10 9 7 6 5 7 9 8 6 5 5 4 4 4 4 4 5 7 8 10 11 10 10 9 8 7 5 5 5 3 4 5 7 8 8 8 8 7 6 5 4 5 5 5 5 6 7 7 7 7 6 5 5 5 5 5 4 4 3 3 4 4 4 5 5 5 6 6 6 5 5 5 5 4 3 3 3 4 5 5 5 5 5 6 5 5 6 5 6 6 6 6 5 4 4 4 5 8 14 19 23 21 13 7 4 11 8 -2 -2 4 4 4 4 4 4 4 4 4 4 5 5 5 5 3 2 2 5 7 9 9 10 10 8 8 9 10 5 5 8 9 6 2 1 3 5 6 6 7 7 9 14 14 11 9 6 4 5 8 9 11 14 15 11 4 0 1 1 1 2 4 6 7 6 9 12 10 8 8 8 8 13 18 12 5 6 5 2 6 10 9 7 10 12 9 1 -2 6 14 12 9 10 10 10 10 7 5 5 6 5 5 8 8 6 4 5 8 13 15 9 4 4 5 6 7 9 8 7 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 3 1 1 3 7 9 8 6 5 5 4 5 6 8 9 8 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 7 9 9 9 9 9 8 8 7 6 5 4 4 4 5 5 5 3 3 2 1 2 5 6 6 6 7 7 6 5 5 3 2 4 5 6 6 6 6 8 10 9 6 5 4 5 5 6 6 5 5 6 6 6 5 4 6 7 7 6 6 6 6 6 5 4 4 4 5 6 8 9 8 7 6 5 4 4 4 4 6 8 9 9 8 7 7 7 6 6 6 5 4 4 4 5 5 5 6 6 6 6 6 6 7 7 6 6 6 7 6 5 5 5 6 6 7 8 6 5 5 4 4 5 6 7 8 9 10 11 12 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 14 13 12 12 14 14 13 12 11 12 12 12 11 9 7 6 4 3 4 5 7 9 9 7 5 6 8 8 6 5 5 4 3 3 4 4 6 7 9 10 9 9 9 10 12 10 7 5 4 4 4 5 7 7 8 9 8 6 5 4 3 3 4 4 4 5 7 7 8 7 7 6 5 5 5 5 6 5 6 6 5 4 4 5 4 4 5 5 5 4 4 5 5 4 3 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 3 3 5 9 15 19 22 23 20 12 8 10 10 2 -5 -1 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 6 8 9 7 6 7 7 6 9 11 9 6 6 7 7 5 5 5 4 5 5 6 5 6 12 16 14 11 7 6 6 5 8 13 15 11 5 2 2 2 3 2 3 5 6 8 6 10 15 12 8 6 7 10 16 16 10 8 8 6 3 8 16 16 12 10 11 8 6 12 20 20 13 10 9 9 10 9 8 6 6 6 6 6 8 7 5 5 6 10 15 13 6 2 4 6 6 8 9 9 7 6 5 5 5 5 5 4 4 5 5 5 4 5 5 6 6 6 5 5 5 5 6 6 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 2 1 2 5 8 8 6 5 5 5 5 5 7 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 5 5 5 6 7 8 10 10 10 9 9 9 8 7 6 5 5 5 4 4 5 4 4 3 3 2 2 6 6 6 7 8 8 6 5 5 3 2 4 5 6 6 5 5 7 11 14 11 5 2 2 3 5 5 5 5 6 6 7 6 3 4 7 7 7 6 6 6 5 5 4 5 5 5 7 9 9 9 8 6 5 5 5 5 5 6 6 7 7 7 7 6 6 7 6 6 6 6 5 5 5 4 4 4 5 5 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 6 6 5 6 5 5 5 5 6 6 6 7 8 9 11 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 10 10 11 12 15 15 13 10 9 10 11 11 12 12 12 11 9 6 4 4 5 7 8 8 7 7 8 8 6 5 5 5 4 4 4 4 6 9 10 8 6 4 5 8 12 13 10 6 5 4 5 5 6 7 8 8 7 5 4 3 2 3 3 3 4 4 6 7 8 8 7 7 6 6 6 6 7 7 7 8 7 6 6 5 4 4 4 4 4 3 3 4 4 3 2 3 4 5 5 5 5 5 5 5 6 6 5 6 6 5 4 4 3 3 5 9 14 18 19 16 13 16 17 19 20 9 -2 -3 2 6 6 5 4 4 4 4 5 5 5 5 5 5 6 8 9 7 7 10 10 9 6 5 6 6 7 10 11 8 7 7 7 7 6 5 5 5 5 5 5 7 9 12 14 14 11 9 7 6 10 13 9 5 3 2 2 3 4 4 4 5 7 8 6 8 11 10 8 5 5 11 16 13 13 19 16 9 6 5 10 14 13 11 13 13 17 24 26 19 12 8 6 9 11 9 7 7 7 7 6 7 7 7 5 5 8 13 16 10 3 2 5 6 7 8 9 9 7 6 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 6 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 2 2 3 6 8 6 5 5 6 6 5 5 6 7 7 8 8 9 9 9 8 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 5 5 5 6 8 9 10 10 10 10 8 8 8 8 7 6 5 5 5 4 5 6 8 9 7 6 8 6 5 5 8 10 9 7 5 4 1 -2 2 5 5 5 5 5 4 8 16 15 6 1 -1 -0 1 3 4 6 6 6 7 8 6 4 6 7 7 7 6 6 5 5 5 6 6 6 8 8 9 8 7 6 5 5 6 6 6 7 7 6 6 6 7 7 7 7 8 7 6 6 6 6 5 5 4 4 4 5 5 5 6 6 7 7 6 5 5 5 5 5 6 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 8 10 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 9 11 13 14 11 8 6 7 8 9 11 14 15 16 15 13 10 8 6 5 7 7 7 8 9 8 6 6 6 6 6 5 5 5 7 9 8 5 3 1 2 4 9 13 12 8 6 5 5 5 5 7 8 7 5 3 2 2 2 2 3 3 3 4 5 6 7 7 7 7 6 6 6 6 7 7 8 9 9 8 7 6 5 5 4 4 4 3 3 4 4 3 3 3 3 5 5 5 4 5 5 5 6 6 6 6 5 5 4 4 4 7 11 15 16 17 17 14 10 14 24 24 18 3 -4 0 4 5 6 5 4 4 4 4 5 5 4 5 7 9 11 12 12 9 7 8 10 9 6 5 6 6 8 8 7 7 8 7 6 8 6 4 4 5 3 3 3 4 5 6 9 15 19 17 9 8 13 11 5 2 2 2 3 5 5 5 5 5 7 8 8 7 7 7 7 5 5 11 17 16 16 23 21 8 1 -2 2 7 9 11 10 12 19 24 21 14 9 7 7 10 10 7 7 6 7 8 7 8 7 6 5 6 10 16 16 7 1 3 5 6 7 8 9 9 7 6 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 3 3 2 2 5 7 6 5 4 5 5 5 5 5 5 6 7 8 8 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 8 7 7 6 6 5 6 7 8 10 10 10 10 9 8 8 9 8 7 6 6 5 5 4 4 6 10 11 10 11 11 6 5 5 7 9 8 7 6 4 2 -1 0 4 5 5 6 5 4 5 12 14 9 4 1 -1 -1 -0 2 5 7 8 7 7 7 6 7 7 7 7 6 7 6 5 5 6 6 7 7 8 7 7 6 6 6 6 6 7 8 9 9 8 7 6 7 8 8 9 9 9 7 6 6 6 6 6 7 7 7 6 6 5 6 6 6 6 6 5 4 4 4 6 6 7 7 5 5 6 6 6 6 4 5 6 7 7 6 6 6 7 10 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 9 10 11 12 13 12 10 8 7 7 8 10 14 16 17 18 19 16 12 9 7 6 7 8 9 8 8 7 7 6 7 8 7 6 7 8 8 7 4 2 1 1 3 7 11 11 9 7 5 5 5 5 6 6 5 3 2 1 1 2 2 3 3 4 4 5 6 6 6 6 7 7 6 6 6 6 6 7 8 9 9 8 7 7 6 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 6 8 11 14 16 17 18 16 12 13 18 20 19 21 23 16 6 -2 -4 1 4 5 5 4 4 4 4 4 5 4 4 9 16 18 15 12 11 9 7 7 9 9 8 7 7 7 7 4 1 3 5 5 6 7 4 2 1 1 1 -0 -1 -1 1 2 2 11 25 24 14 13 15 9 3 2 2 3 5 7 6 6 7 6 7 7 8 9 9 5 3 5 8 13 18 17 11 12 18 13 1 -2 1 3 7 9 8 11 16 18 15 11 8 7 9 10 8 7 6 6 7 8 9 9 7 6 5 7 12 16 13 4 2 5 7 7 8 8 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 3 3 2 3 6 6 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 7 7 7 6 6 6 6 5 6 5 5 5 5 5 6 6 6 6 7 7 8 8 8 7 6 6 5 6 7 9 9 10 9 9 8 8 8 8 8 7 7 6 6 6 5 5 3 4 6 10 10 6 6 6 5 5 8 8 7 6 6 5 3 2 4 5 5 6 6 5 5 7 9 10 9 7 5 4 4 4 5 6 8 9 7 6 7 7 8 7 7 6 6 6 5 6 6 7 6 6 6 5 6 6 7 7 7 8 9 9 10 10 9 8 8 8 9 10 11 12 12 10 8 6 5 5 6 9 12 13 11 9 7 6 6 5 6 6 5 4 3 3 4 5 7 7 7 6 7 6 6 5 5 6 7 7 7 7 6 5 6 7 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 9 10 12 13 13 13 12 10 9 8 8 9 10 12 13 15 17 17 15 12 10 8 8 9 9 9 9 8 7 7 7 8 8 8 7 7 7 6 4 3 3 3 4 7 10 11 9 7 5 5 5 6 6 5 4 2 0 1 2 2 3 3 4 4 4 5 5 5 6 5 6 6 5 5 5 4 4 6 7 8 9 9 8 8 8 7 6 6 6 6 6 7 6 5 5 3 2 3 3 4 4 5 5 5 4 4 6 11 18 26 33 36 29 18 10 6 10 16 22 23 19 13 6 1 -1 -1 3 4 4 4 4 4 4 4 4 5 5 7 14 19 18 13 10 10 11 10 8 9 11 10 8 6 4 3 0 0 5 7 6 5 4 4 4 2 3 1 -1 -1 -1 -2 -1 -1 3 16 23 18 16 13 7 2 2 3 4 6 8 8 8 8 8 8 7 6 7 10 7 3 7 9 11 14 12 5 4 14 19 12 6 5 3 8 11 11 12 14 14 12 9 8 9 9 8 8 7 6 5 6 8 9 9 8 6 6 8 13 15 9 2 3 6 8 8 8 8 8 9 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 3 3 4 5 6 5 5 5 5 5 4 4 5 5 5 4 4 3 3 3 3 4 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 8 7 7 6 5 5 6 8 9 9 8 8 8 8 8 8 8 8 7 7 7 6 7 9 11 7 3 3 8 7 4 5 6 5 5 8 11 9 7 6 5 5 4 4 5 5 5 6 6 6 5 6 7 9 9 8 9 8 6 6 6 7 8 7 6 7 8 8 8 6 6 6 5 5 6 7 6 5 5 5 5 6 6 7 8 8 8 9 10 10 10 10 9 10 9 9 10 12 14 14 14 11 8 6 5 6 8 13 16 14 11 8 7 7 6 6 5 5 5 4 3 4 5 6 7 8 8 8 7 6 5 6 6 6 7 7 8 6 5 5 6 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 9 9 11 12 12 11 10 9 9 8 7 7 7 7 9 10 12 13 13 12 11 10 10 9 9 10 10 9 8 7 7 7 8 8 7 7 7 7 6 6 5 5 6 8 9 10 9 6 6 6 6 7 6 5 3 1 1 0 1 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 5 6 8 9 9 9 9 9 8 7 7 7 7 7 8 8 7 5 3 2 2 3 4 5 5 5 5 5 9 15 20 23 29 36 36 25 10 4 5 10 13 12 13 7 3 2 2 2 2 4 4 3 4 3 4 4 4 5 7 11 15 18 15 11 8 8 8 10 11 10 9 12 12 8 4 4 3 2 3 7 7 6 5 3 5 6 6 7 4 0 -0 1 0 0 -1 -2 4 15 17 13 8 4 2 2 3 5 7 7 7 8 9 8 8 8 7 6 7 8 7 6 2 -2 1 4 3 5 12 18 16 10 6 4 11 17 18 16 16 13 10 9 9 9 8 8 7 7 6 5 7 8 8 8 7 6 7 10 13 11 5 3 6 8 8 8 8 8 8 9 8 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 3 2 3 5 6 6 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 8 8 8 8 7 6 6 5 6 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 10 15 18 14 9 9 7 5 6 6 7 7 6 8 11 9 7 6 5 4 4 5 5 5 5 6 6 6 6 6 6 6 7 7 8 7 6 6 6 7 6 6 7 8 8 8 7 5 6 6 5 5 6 6 6 5 5 5 6 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 11 14 15 16 14 10 7 6 5 6 8 11 12 10 8 7 7 7 6 6 6 5 4 4 4 5 5 5 7 8 8 7 6 6 7 6 6 6 8 8 6 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 7 8 9 9 8 8 8 8 8 7 7 6 5 5 5 6 7 8 9 10 10 10 9 8 8 9 10 10 9 8 7 7 7 7 6 6 7 8 8 8 7 6 7 8 9 9 8 7 6 6 7 7 6 4 2 1 1 1 2 2 3 4 4 4 4 4 5 5 6 6 5 5 4 3 3 3 3 4 5 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 5 4 3 2 2 3 4 5 4 7 16 24 27 24 20 17 15 13 9 7 6 7 9 9 -0 -3 4 2 2 3 3 3 3 4 4 3 3 4 4 5 8 14 20 22 18 11 6 5 5 5 5 6 9 11 13 11 8 5 6 8 7 5 6 5 4 5 4 5 6 8 9 7 4 2 2 2 1 -1 -3 -0 8 12 7 3 2 2 2 3 5 7 7 6 8 8 7 7 9 9 8 6 7 7 4 -5 -13 -11 -4 1 4 9 14 15 11 7 9 14 20 22 19 15 11 9 9 8 7 8 8 7 7 6 6 6 7 8 7 6 6 7 10 12 10 5 4 7 9 9 8 8 7 8 9 7 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 5 5 4 5 4 3 2 2 4 7 8 7 6 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 8 8 8 8 8 7 6 6 6 7 8 8 8 7 7 6 6 6 6 6 7 8 8 8 7 9 14 17 14 14 15 12 7 6 7 8 8 7 5 5 6 7 6 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 8 9 8 6 5 6 6 5 6 6 6 6 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 9 10 12 14 16 15 11 8 6 6 5 5 7 8 8 7 6 6 7 7 7 7 6 5 5 5 5 5 5 6 6 7 7 6 7 6 6 5 6 8 7 6 5 5 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 6 7 7 6 6 7 8 8 9 8 8 7 6 5 4 5 5 6 8 10 10 9 8 6 6 7 9 11 10 9 8 8 7 6 6 6 7 8 9 8 8 6 6 7 8 9 9 8 6 6 7 7 7 4 2 1 1 2 2 2 4 4 4 4 4 4 5 5 6 6 6 6 5 4 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 5 4 4 5 6 5 5 4 3 3 4 3 4 6 15 29 34 27 20 14 7 1 1 4 8 9 8 6 3 -5 -9 4 4 2 3 3 3 3 3 3 3 3 4 5 8 15 21 22 19 13 8 6 6 5 4 3 3 6 10 12 10 6 4 4 9 9 5 6 7 6 4 4 6 5 7 8 7 6 4 3 2 1 1 -0 1 6 10 6 2 1 2 2 4 6 9 9 7 8 9 7 7 9 10 9 6 5 7 10 1 -10 -10 -5 1 4 6 10 14 15 13 14 14 16 17 15 12 10 9 8 7 7 8 8 7 7 6 6 6 8 8 7 6 5 7 10 12 10 4 3 7 8 8 8 7 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 1 1 3 5 8 8 8 7 6 5 4 4 4 4 5 5 6 7 8 8 9 8 6 5 4 5 5 6 6 5 5 6 6 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 6 6 6 7 8 9 8 7 6 5 5 5 5 5 5 6 7 8 8 8 10 16 15 9 10 11 9 7 6 7 7 7 5 3 3 4 6 6 4 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 7 5 6 6 6 6 7 6 6 5 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 8 9 9 10 13 15 14 11 9 7 7 6 5 6 9 9 7 6 5 6 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 5 6 6 7 7 6 5 4 4 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 6 6 6 6 6 7 8 9 9 10 9 8 7 6 5 6 6 7 9 10 11 10 8 7 7 7 9 10 11 11 10 9 7 7 6 6 7 8 9 9 8 7 6 7 8 9 9 8 6 5 5 6 6 4 2 2 3 3 2 3 3 3 4 4 4 4 4 5 6 6 7 7 7 6 5 4 3 3 4 4 5 5 5 4 4 4 4 4 3 2 2 3 4 5 6 6 5 4 4 3 4 6 12 20 25 19 12 12 11 5 2 3 6 12 15 12 7 2 -2 -7 -2 3 2 3 3 3 3 2 3 3 3 4 8 14 20 20 16 12 9 8 8 8 7 6 5 5 5 7 8 8 6 4 2 6 8 7 7 8 8 6 5 5 4 5 6 5 6 5 5 5 4 4 3 1 4 10 10 5 2 2 2 4 7 11 13 8 8 10 9 7 7 8 9 7 5 13 18 8 0 -2 -2 1 3 5 7 11 14 14 12 11 11 11 11 11 10 9 7 6 7 9 8 7 6 6 6 6 8 7 6 6 6 8 10 11 8 2 2 6 8 8 7 7 7 8 8 7 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 3 3 2 1 1 4 7 8 8 8 7 6 5 4 5 5 4 4 5 6 8 9 10 9 8 6 5 4 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 7 8 9 8 6 5 5 4 3 4 4 4 5 6 6 7 7 11 15 11 8 10 9 6 6 6 6 5 5 5 4 5 6 7 6 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 8 9 7 5 5 6 7 7 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 6 6 7 8 8 9 8 9 11 12 13 12 10 9 8 7 7 8 9 9 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 5 6 6 6 6 5 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 6 6 5 6 6 7 7 8 9 9 9 8 8 8 7 7 8 8 9 10 11 10 9 9 8 7 8 9 11 11 11 10 9 8 7 7 8 8 9 10 9 8 7 7 8 8 8 6 5 4 4 5 5 5 4 3 4 4 3 3 3 3 4 3 4 4 4 5 6 6 6 7 8 9 8 7 5 4 4 3 4 5 5 5 4 4 3 2 2 1 2 2 4 5 6 6 6 6 5 4 8 15 20 16 5 -2 0 6 7 6 5 6 10 18 23 18 11 8 8 2 -2 2 2 2 2 2 3 3 3 3 3 5 11 17 18 16 13 10 8 9 11 10 8 7 7 7 6 5 4 5 7 6 5 5 6 6 6 7 9 9 8 6 4 3 4 4 5 5 4 5 6 7 5 1 1 9 14 9 4 2 2 3 5 6 9 7 6 8 9 9 8 8 8 8 8 17 18 8 5 3 2 3 2 4 6 8 10 10 9 9 9 10 10 10 10 8 7 6 7 8 8 7 6 6 6 7 7 7 6 5 7 8 10 10 6 2 2 6 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 3 2 1 1 2 5 7 8 8 8 8 6 5 5 5 5 5 4 4 5 7 8 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 6 8 8 8 7 6 4 3 2 2 3 4 5 5 5 5 5 7 12 13 9 10 12 9 6 5 5 6 6 6 6 6 6 6 6 5 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 9 9 6 5 6 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 6 7 8 8 8 8 9 10 11 13 13 11 10 9 10 11 10 10 9 7 6 6 6 8 7 6 7 6 6 6 7 7 6 6 6 5 6 5 5 5 5 6 7 7 6 5 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 9 7 6 5 5 5 5 5 6 7 7 8 9 8 8 8 8 9 9 9 9 8 9 9 9 9 8 7 8 9 10 11 11 10 9 9 9 8 8 8 9 10 9 8 7 8 8 7 6 5 4 4 4 4 5 5 5 5 4 4 3 3 3 3 4 4 4 5 5 5 5 5 7 8 11 12 10 7 5 3 3 4 6 8 9 7 5 3 2 2 2 2 3 5 6 6 6 6 5 4 7 13 18 14 5 -4 -4 -1 4 7 8 7 7 13 18 19 16 12 14 16 9 2 1 2 2 2 2 3 2 3 3 3 6 11 14 14 14 13 10 8 8 9 9 9 8 8 9 7 4 3 6 8 9 10 4 3 3 4 6 8 8 8 8 6 4 4 5 5 5 3 5 8 10 8 3 0 5 12 12 7 4 2 2 2 0 2 5 3 4 7 10 10 9 9 8 10 16 12 4 5 5 5 4 2 4 6 6 7 7 8 8 9 10 10 10 9 8 8 7 7 8 8 7 6 6 7 7 7 7 6 6 7 9 11 10 6 2 3 6 7 7 7 7 7 7 7 7 6 5 6 6 5 5 6 6 6 5 5 5 5 5 5 5 4 4 2 2 2 2 3 5 7 8 8 8 8 6 5 5 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 7 8 7 7 6 4 2 2 2 3 4 4 5 5 5 6 12 15 12 9 13 13 8 6 6 6 6 7 7 8 8 7 6 6 4 3 4 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 7 6 6 7 9 8 7 7 7 6 6 6 6 5 6 6 6 6 5 5 6 6 6 7 6 6 6 5 5 6 6 7 7 8 9 9 10 11 12 11 11 11 12 12 12 11 10 9 7 5 7 8 7 7 7 7 7 7 8 7 7 7 7 6 5 5 4 4 5 5 6 7 7 6 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 8 8 8 7 5 3 2 2 3 4 6 8 9 9 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 8 9 11 11 11 11 11 10 8 8 8 8 8 9 9 9 8 9 8 7 6 5 4 4 4 4 5 6 5 4 4 4 4 3 3 3 4 5 5 6 6 6 6 6 7 9 11 10 8 5 3 3 4 6 10 12 9 6 4 3 3 3 4 4 6 6 7 6 5 4 5 10 15 12 5 0 -1 1 4 6 8 9 9 8 8 7 7 6 9 15 13 7 3 2 2 2 2 2 2 3 3 4 5 7 10 12 12 15 15 11 7 5 6 8 9 8 8 9 7 5 6 7 7 9 9 6 3 3 2 5 8 6 8 10 9 7 6 7 5 4 5 4 8 11 10 7 2 1 6 10 9 5 3 3 2 0 0 4 4 3 7 9 9 10 9 8 10 12 6 1 2 3 4 1 1 4 6 6 6 6 7 8 9 9 10 11 9 8 8 7 8 8 8 7 7 7 7 7 7 6 6 5 7 10 10 8 4 4 6 6 5 6 7 7 7 6 7 7 6 6 6 6 6 6 6 6 6 5 4 5 5 6 5 5 4 3 2 3 3 3 4 5 5 6 8 9 8 6 6 6 7 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 5 5 5 5 6 7 7 7 7 5 4 3 2 3 4 4 5 5 4 4 10 20 19 12 12 15 12 7 5 6 6 6 8 9 8 8 7 6 6 4 3 4 5 6 6 6 6 7 6 6 7 7 7 8 7 8 7 7 7 6 6 6 7 8 9 8 7 5 6 9 10 8 7 7 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 6 6 7 7 7 8 8 9 9 9 10 10 11 12 13 13 13 11 9 7 8 8 7 7 8 7 8 8 9 9 9 8 8 7 6 6 5 4 4 4 4 5 7 8 7 7 7 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 7 9 9 9 6 4 2 1 1 2 4 7 10 11 10 8 8 7 7 8 9 9 9 9 8 9 9 10 10 11 11 11 12 12 13 13 12 10 9 8 8 8 8 9 9 10 10 10 8 6 5 5 5 4 4 6 6 6 5 4 4 4 3 3 3 3 5 5 6 7 6 6 5 5 7 9 8 6 4 3 3 4 6 10 12 10 7 4 4 4 5 5 6 7 8 8 6 4 4 7 11 11 8 5 2 3 7 8 8 9 10 10 8 4 2 3 1 5 10 7 5 3 3 3 2 2 2 2 4 6 9 13 13 10 10 11 15 16 13 8 5 4 6 7 7 7 9 8 6 6 5 5 6 7 8 7 5 4 5 8 7 7 9 10 8 8 9 8 6 6 6 5 8 10 8 4 2 3 6 8 5 4 4 5 4 3 4 6 6 7 7 6 8 9 7 8 10 7 4 1 0 -1 -0 3 7 7 6 5 5 5 6 8 9 11 10 9 8 7 7 8 8 8 7 7 7 7 7 7 7 5 4 6 8 8 6 6 10 10 5 3 4 6 7 6 6 6 7 7 6 7 7 7 6 6 5 5 5 5 5 6 6 6 5 3 2 3 3 4 4 4 4 4 5 8 10 9 7 6 7 8 7 6 6 5 4 3 3 3 4 5 5 5 6 6 5 5 5 5 5 5 6 5 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 4 4 4 4 4 5 5 5 3 5 14 21 17 12 13 14 10 7 6 6 6 6 8 10 8 7 7 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 8 6 6 8 11 11 8 6 6 5 5 5 5 6 6 6 6 6 6 5 5 4 5 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 10 11 13 14 14 12 9 8 9 8 7 7 8 7 7 8 9 10 10 9 9 8 7 7 6 5 5 4 4 5 6 7 7 7 8 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 6 7 8 9 7 6 4 3 2 2 3 6 10 12 11 9 7 7 6 7 8 8 9 9 9 10 11 12 13 13 13 12 12 12 13 14 13 13 11 10 9 8 9 10 10 10 10 10 9 8 7 6 5 5 5 6 7 6 5 4 4 4 3 3 3 4 5 5 7 7 7 6 5 5 5 6 7 6 5 4 3 4 6 8 10 9 8 6 6 6 6 7 8 8 8 7 5 7 10 9 6 4 3 3 3 6 9 8 9 10 10 11 10 8 7 7 7 10 14 11 8 5 4 2 2 1 1 2 6 13 18 21 18 13 8 6 9 12 13 9 6 4 5 6 6 5 8 9 6 5 4 5 6 6 8 10 8 8 7 8 6 1 3 8 9 8 9 10 8 8 8 6 6 6 7 6 5 5 6 6 4 3 4 6 7 7 6 6 7 7 5 4 6 8 7 7 10 14 13 4 -1 1 6 11 11 7 5 4 3 4 5 7 9 10 10 9 8 8 7 8 8 8 8 8 8 7 7 7 6 4 4 6 7 7 7 9 10 7 4 3 4 5 6 6 6 6 7 6 6 6 7 8 7 6 5 5 4 5 6 6 6 6 5 4 3 4 4 5 5 5 3 3 6 9 10 9 7 7 8 8 7 6 6 6 5 4 3 3 4 5 5 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 3 4 13 16 12 11 13 12 9 7 6 6 6 7 10 10 8 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 6 7 8 9 9 7 5 7 11 12 9 7 5 5 5 4 5 5 6 6 6 6 6 6 5 5 4 4 5 5 5 6 6 6 7 6 6 6 7 7 7 8 7 8 8 8 8 9 10 12 15 15 14 11 8 7 8 8 8 8 8 7 7 8 8 8 9 8 8 9 8 8 8 7 6 6 6 6 6 6 7 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 5 6 7 7 7 7 7 6 4 3 3 5 9 12 11 9 7 6 6 6 6 6 7 9 9 9 10 11 11 11 11 10 10 11 12 13 13 13 12 11 11 11 10 10 10 10 10 11 11 11 9 8 7 6 6 6 7 6 5 5 4 3 3 3 3 3 4 5 6 6 6 6 6 5 6 6 7 6 5 4 5 6 6 7 7 8 9 9 8 7 7 8 8 8 7 6 7 12 12 5 1 0 -0 1 3 5 8 8 9 9 11 13 13 11 9 11 16 19 20 16 10 5 3 2 2 1 1 2 7 15 19 19 19 14 6 3 5 7 9 8 6 5 5 6 5 4 7 9 7 5 4 6 7 8 9 10 11 9 8 7 8 4 2 7 8 7 7 9 10 11 11 9 7 4 5 8 9 9 8 6 4 3 3 5 7 9 6 5 5 5 5 4 7 10 9 7 10 15 14 5 1 5 11 12 9 6 4 3 4 5 6 8 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 6 5 4 4 5 6 8 10 9 6 5 5 4 3 4 4 5 5 5 6 6 6 6 7 8 7 6 5 5 5 5 6 6 7 7 6 5 5 5 5 6 6 4 3 3 6 9 10 8 7 7 7 8 7 7 7 6 5 4 3 3 4 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 5 5 6 7 6 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 10 14 11 11 14 13 10 6 6 6 6 8 11 11 8 7 7 7 6 6 7 6 6 6 6 6 7 7 7 7 8 8 8 8 9 8 8 7 7 6 7 7 8 9 8 6 6 8 12 10 7 6 5 5 5 5 5 6 6 6 6 6 7 6 6 5 4 5 5 5 5 6 6 7 7 7 7 6 6 7 7 7 7 8 8 8 9 8 8 11 14 16 16 13 10 7 7 8 9 9 9 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 7 6 6 7 7 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 5 5 7 7 8 9 7 5 4 5 7 9 10 9 8 6 6 5 4 5 6 7 7 7 6 7 7 7 7 6 6 7 8 9 10 11 11 11 12 12 12 11 11 11 11 12 13 14 13 11 10 8 7 7 6 6 5 4 4 4 3 3 3 3 4 5 6 6 6 7 6 6 6 6 6 6 5 5 7 8 7 6 6 7 8 9 9 8 7 7 7 6 5 4 5 4 1 -0 -1 1 2 3 4 5 7 8 9 11 14 16 16 12 9 16 19 16 13 10 5 3 1 1 1 1 0 1 5 9 12 14 15 13 6 4 6 6 8 7 7 6 6 5 4 5 6 7 8 7 5 6 6 7 7 7 8 8 7 7 9 8 5 7 7 7 5 6 9 12 14 13 11 7 5 8 12 12 10 7 5 4 4 5 6 6 6 4 4 6 6 5 9 14 14 11 9 8 6 2 2 5 7 8 6 5 4 5 6 7 8 9 9 9 9 9 9 8 8 8 8 9 8 8 7 8 8 6 5 5 4 5 6 9 10 8 6 6 4 3 4 6 4 3 5 4 5 6 6 6 7 8 7 6 5 5 5 5 6 7 7 8 7 7 6 6 6 6 5 5 3 3 6 10 10 7 5 6 7 7 6 7 7 7 6 5 4 4 4 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 5 5 6 6 6 6 6 6 5 5 6 6 6 6 4 4 3 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 5 10 14 12 10 12 13 11 7 6 6 7 10 10 9 8 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 8 8 8 8 7 8 7 7 8 9 9 7 5 6 10 11 8 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 9 12 14 15 15 13 10 9 10 11 11 11 10 9 8 7 7 8 9 10 9 9 9 9 9 10 9 9 9 9 8 7 7 7 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 5 4 4 5 7 8 9 9 7 7 7 7 7 7 8 8 7 6 5 4 4 5 6 6 5 4 3 3 3 4 4 4 5 6 6 7 8 9 9 10 11 12 11 12 13 13 14 14 15 16 15 12 10 9 8 6 5 4 4 4 5 4 3 3 3 3 4 5 5 6 6 7 6 6 7 7 7 7 8 10 10 8 6 5 5 7 8 7 7 6 6 5 4 3 3 3 0 -1 2 2 3 4 5 6 7 7 9 10 15 20 21 20 18 23 25 18 8 4 3 1 1 1 1 1 0 1 2 4 6 9 11 12 11 7 6 7 8 9 9 8 6 5 5 3 4 5 5 6 4 3 4 6 7 6 4 3 4 5 6 8 9 8 6 8 9 7 7 7 11 14 13 10 9 7 8 13 12 9 7 6 6 6 5 5 5 5 4 4 6 6 4 6 13 18 16 10 2 -1 0 3 5 6 6 5 6 7 8 8 7 8 8 9 9 9 10 9 9 8 8 9 9 7 6 7 8 8 7 6 5 4 6 7 9 9 8 7 5 3 4 7 7 4 4 5 3 3 4 5 6 7 8 7 6 5 5 5 5 6 7 8 8 7 7 6 6 6 6 5 4 3 4 7 11 9 6 4 5 6 7 7 7 7 7 7 5 5 5 5 5 5 6 6 7 6 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 5 5 5 6 6 6 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 6 9 12 10 8 11 13 11 7 7 7 8 8 8 8 8 7 6 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 7 8 9 9 7 5 7 11 10 6 5 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 11 14 16 16 14 12 12 12 12 12 12 12 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 4 3 3 3 5 7 8 8 7 7 7 7 6 7 7 8 8 7 6 5 4 5 6 5 5 3 2 1 2 3 3 4 5 5 6 6 6 7 7 8 9 9 10 12 12 12 11 11 12 14 15 14 11 9 7 6 4 3 4 5 6 6 5 4 3 3 4 5 5 5 6 7 8 9 8 8 8 9 10 11 10 7 5 4 5 6 6 5 5 5 4 3 3 3 4 4 6 7 7 6 6 6 7 8 7 6 9 12 16 20 21 23 36 38 28 13 3 2 1 0 -0 -1 -1 0 2 4 5 7 8 10 12 12 11 9 7 7 9 10 7 7 6 6 6 5 3 4 5 5 3 1 1 6 7 7 5 3 3 3 3 6 9 8 8 10 11 10 9 8 11 14 13 9 7 9 11 12 9 7 5 5 6 7 5 5 5 4 4 4 5 5 3 2 8 15 16 10 4 1 3 7 8 7 6 5 6 7 9 8 7 7 7 8 10 11 11 10 9 9 8 8 8 7 6 7 9 8 7 6 4 5 7 7 7 7 8 7 5 4 6 7 5 2 6 8 4 2 2 5 6 7 8 7 7 6 5 5 5 6 7 9 8 7 6 6 6 6 6 5 4 4 6 9 10 7 5 4 5 7 7 8 7 8 7 6 5 6 6 5 5 5 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 3 3 3 3 4 3 4 4 4 4 4 5 5 5 6 6 5 5 5 7 11 9 8 11 14 10 7 6 7 8 8 8 8 7 5 4 1 3 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 6 6 9 11 8 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 8 9 11 14 15 15 15 13 12 12 12 13 13 13 12 12 11 10 10 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 3 2 3 4 5 5 6 5 5 5 5 6 6 7 8 8 8 8 7 6 6 6 5 4 3 2 1 2 4 4 5 5 6 6 7 6 6 7 7 7 7 9 11 10 8 5 5 6 9 11 13 12 9 6 4 3 3 4 5 7 7 6 4 4 4 4 5 5 6 8 10 13 12 9 7 7 9 10 10 8 5 5 5 6 6 5 5 4 4 4 3 3 4 5 6 8 9 9 8 8 8 8 7 4 2 6 9 12 14 14 20 29 24 15 6 2 1 0 -1 -1 -2 -2 0 5 8 9 9 8 8 9 11 11 11 9 8 8 9 8 8 7 6 8 8 4 4 6 7 8 5 2 4 5 4 6 6 6 5 4 5 7 7 8 9 11 11 9 9 12 14 13 9 8 11 14 11 7 5 4 5 6 6 7 6 6 6 5 6 6 5 4 2 7 11 11 9 11 11 10 10 9 7 5 4 4 6 8 8 7 7 7 8 11 12 11 11 10 9 8 8 8 8 7 7 9 8 6 4 3 6 7 7 6 7 7 6 4 4 5 7 5 4 8 10 6 0 0 4 6 7 8 7 7 6 5 5 6 7 8 9 8 7 6 6 6 6 5 4 4 5 7 10 10 7 6 5 6 7 8 8 9 8 8 6 5 5 6 6 5 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 7 10 11 10 12 13 8 6 6 7 8 10 9 8 7 6 4 1 2 5 6 5 6 6 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 7 6 7 10 11 8 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 6 6 5 6 5 5 5 5 5 5 5 5 4 5 5 6 7 7 8 8 8 8 8 9 10 11 13 14 14 13 12 11 12 12 13 14 15 14 13 12 10 9 9 10 9 9 8 9 10 9 10 10 9 8 8 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 5 5 5 5 5 5 5 4 3 3 3 2 3 4 7 8 8 9 9 9 8 8 7 6 6 5 4 3 4 5 6 6 5 6 6 7 7 7 7 7 7 7 7 8 10 9 5 2 1 3 6 9 12 12 10 6 4 3 3 4 5 7 8 7 6 5 4 4 6 7 10 14 18 18 14 8 3 3 5 7 7 6 5 5 6 7 7 6 5 5 5 5 4 4 4 5 7 8 9 8 8 7 7 5 2 -1 1 3 4 7 8 8 9 6 5 1 1 3 3 2 1 0 -3 -4 1 8 12 12 10 7 5 5 7 9 11 11 9 8 8 8 8 7 5 6 7 5 6 6 7 9 8 6 5 5 2 4 5 7 9 9 7 7 7 7 8 10 10 7 9 12 14 12 9 10 14 15 10 6 5 4 3 5 7 8 7 7 5 6 10 11 7 4 4 7 9 7 9 14 14 10 8 6 5 4 4 4 5 6 7 7 7 7 9 11 11 11 11 10 10 8 8 8 8 7 7 7 6 4 3 4 6 8 7 6 6 6 5 3 3 6 8 6 6 7 5 3 -1 -1 2 5 7 7 7 6 6 6 6 6 7 8 9 8 7 6 6 6 6 5 4 5 7 9 11 10 8 7 7 7 8 8 9 10 9 7 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 4 4 5 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 9 11 10 11 11 8 7 7 8 10 12 10 7 6 5 4 4 5 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 8 8 7 7 8 9 9 9 8 7 6 9 13 12 9 7 7 6 5 4 4 4 5 5 5 5 5 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 5 6 6 5 5 4 4 5 6 7 7 7 8 8 8 9 9 9 10 11 12 12 11 9 9 10 11 13 14 15 14 13 12 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 12 10 10 12 11 9 8 9 9 9 7 4 3 3 3 5 8 9 10 10 9 8 7 7 8 8 10 13 17 17 13 9 6 5 6 6 6 7 7 8 9 8 9 9 10 11 13 16 16 11 7 6 10 15 18 19 17 11 7 5 7 10 10 9 7 7 7 6 7 9 10 10 9 7 4 6 12 15 12 10 11 12 11 8 6 5 5 4 4 5 5 5 5 5 6 8 12 12 10 6 4 4 3 -1 -3 -1 7 13 16 13 7 -1 -3 -4 -11 -12 -7 -4 -3 -2 2 11 13 6 0 4 7 9 10 10 9 8 8 8 8 8 8 9 12 13 10 9 9 7 7 6 4 2 5 5 5 5 6 7 7 9 11 9 12 12 3 5 9 7 6 5 5 6 7 6 6 11 16 14 11 10 11 11 9 7 6 5 5 6 7 7 7 5 7 8 5 3 4 5 6 8 11 13 13 10 8 9 9 8 7 7 6 6 7 8 8 8 7 9 10 10 10 10 10 10 9 8 7 6 6 7 6 6 5 5 5 5 5 5 6 6 6 5 5 7 7 6 5 6 6 7 7 6 3 1 2 5 6 4 4 6 6 5 5 6 7 8 7 6 6 6 5 4 3 2 5 8 10 10 9 8 7 7 6 6 6 7 9 9 9 7 7 6 6 5 4 5 6 6 5 4 4 4 4 6 7 6 7 9 8 6 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 3 4 3 4 4 5 5 5 5 5 9 11 10 9 9 8 7 8 9 9 10 10 8 6 3 1 3 8 10 9 8 7 7 7 8 8 8 8 7 7 7 7 8 9 9 8 9 9 10 10 10 9 7 5 7 11 12 9 6 5 5 5 5 6 6 6 6 6 6 6 6 7 9 10 10 10 8 5 4 4 4 5 5 7 7 8 9 9 8 8 7 7 6 6 6 5 5 5 6 7 8 8 8 8 7 7 7 8 8 8 8 8 7 6 7 7 8 9 10 10 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 9 11 11 7 4 5 7 9 10 8 7 7 6 7 9 10 10 10 9 8 6 6 5 5 6 10 15 15 11 7 5 5 7 9 9 9 9 8 7 7 7 8 9 10 12 15 17 13 8 6 9 14 17 17 15 11 7 5 7 10 12 11 9 8 8 8 9 10 9 7 5 4 2 2 5 9 11 11 11 10 8 6 5 5 5 4 4 4 5 5 5 5 7 10 12 11 7 3 2 1 -1 -2 -1 4 9 12 16 19 17 8 -2 -12 -8 8 18 10 2 -0 2 6 3 6 10 11 10 9 9 9 9 7 7 8 8 8 8 7 9 11 9 8 6 6 8 8 6 4 4 3 4 5 6 8 8 9 8 6 8 16 9 1 5 4 4 4 6 7 7 6 5 7 12 13 11 10 11 12 9 6 5 6 7 7 7 8 8 9 7 5 3 2 4 5 6 8 9 5 9 26 32 25 17 13 11 10 9 7 8 8 8 7 7 8 9 8 9 9 9 9 9 8 7 6 6 7 7 7 6 5 5 5 4 5 6 6 5 4 5 7 7 5 4 5 6 7 7 7 3 2 4 6 5 5 7 7 6 6 6 6 7 8 7 7 6 6 5 3 2 2 4 7 10 10 9 8 7 6 5 5 5 6 8 8 8 7 6 3 0 -1 2 5 5 3 2 3 4 5 5 5 4 4 7 9 8 6 6 5 6 6 6 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 6 11 14 13 9 8 7 7 8 8 8 9 11 10 7 4 1 0 4 9 11 10 8 7 7 7 8 9 8 8 7 7 7 8 8 9 8 8 8 9 10 11 10 9 6 5 7 9 9 6 5 5 5 6 7 7 8 7 7 7 6 5 5 7 10 13 14 12 9 6 4 4 5 5 5 6 7 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 7 8 8 8 8 6 6 6 7 7 7 7 8 7 7 7 7 7 8 9 9 9 8 8 8 7 8 8 9 10 11 11 11 11 11 11 11 10 9 nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 8 7 8 13 18 18 14 12 11 9 8 7 7 8 8 8 7 7 6 5 5 5 6 8 9 11 11 11 11 11 10 8 7 5 5 6 6 6 7 7 9 10 11 12 12 11 9 7 7 9 13 15 13 10 8 9 12 15 16 14 11 7 5 5 6 7 7 6 6 6 5 4 3 3 3 4 4 4 4 5 6 7 7 8 7 7 7 6 6 5 5 6 7 8 6 4 4 5 8 11 12 11 10 10 9 11 19 27 20 8 -0 -2 -1 0 0 1 -0 -5 -9 -7 2 8 10 11 10 11 11 10 9 8 8 9 8 8 9 7 7 8 7 9 7 9 12 9 8 8 8 7 6 7 8 9 7 7 9 8 6 5 6 6 4 2 4 5 3 3 5 7 9 9 8 8 10 10 7 4 3 6 9 7 8 9 9 9 8 6 3 2 4 3 2 1 1 1 2 4 6 6 5 4 5 6 6 7 7 7 7 7 6 5 5 4 4 5 4 5 5 5 6 7 5 3 3 10 10 4 4 7 9 8 6 4 6 8 8 6 6 5 4 5 5 5 5 7 7 7 3 5 9 7 4 5 7 7 8 11 12 6 -1 1 3 3 3 1 3 5 3 2 2 1 1 1 1 0 1 2 2 2 2 1 1 1 -2 -2 1 2 4 7 8 8 7 7 7 5 4 4 4 6 9 10 9 7 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 4 5 5 2 -0 1 5 7 8 7 6 6 6 5 5 4 5 5 6 5 5 7 8 8 7 7 8 8 8 8 10 12 11 9 7 4 2 1 2 3 7 11 12 10 8 8 8 8 8 8 7 7 8 8 7 5 3 2 4 9 14 17 15 10 8 8 9 9 9 8 7 6 6 5 4 4 4 4 5 5 6 7 6 5 4 3 4 6 8 10 10 9 8 8 8 8 9 9 10 9 8 8 7 7 6 7 7 8 8 9 10 10 10 9 7 6 6 6 6 6 5 5 4 3 2 1 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 8 10 16 20 19 14 12 11 10 9 9 8 8 8 10 10 9 6 4 4 4 6 7 9 10 10 10 11 11 10 9 7 5 5 5 6 7 7 7 7 9 11 13 14 14 12 10 8 7 10 12 11 9 8 9 13 17 19 17 13 9 8 7 7 6 6 6 6 5 4 4 3 4 4 4 4 4 4 4 6 6 7 7 7 6 6 6 6 5 5 7 9 9 5 4 5 6 9 10 9 9 8 10 14 19 21 11 4 1 0 -0 0 2 4 4 -0 -7 -9 -3 5 8 10 10 9 9 9 9 9 9 9 8 7 6 6 6 7 6 6 11 8 3 9 12 8 6 6 5 6 6 7 9 7 9 13 11 8 4 4 5 4 -0 -2 1 4 6 5 5 7 9 9 9 9 9 8 5 4 5 7 8 8 6 6 6 5 4 4 2 1 2 2 2 2 2 2 2 2 3 4 3 3 4 5 6 6 6 6 6 5 5 4 4 4 5 5 5 5 6 7 7 5 4 6 10 7 3 3 7 10 8 5 4 6 8 7 6 5 4 5 5 5 5 5 6 8 8 5 6 9 6 3 4 6 7 8 9 11 7 4 5 4 3 3 3 5 5 4 5 4 1 1 2 2 2 3 4 4 4 3 2 -0 -0 0 0 2 4 6 7 6 7 7 6 6 6 5 5 8 10 9 8 7 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 4 5 3 0 -2 1 5 7 8 9 9 9 11 9 5 6 9 9 7 5 6 7 7 7 7 7 8 8 8 9 11 12 11 8 6 4 3 1 2 3 6 10 12 11 9 8 8 7 8 8 8 8 8 8 8 7 4 3 4 6 11 16 16 13 10 9 8 8 8 7 6 5 4 2 3 3 3 4 4 5 6 7 7 7 5 4 4 5 6 7 8 8 8 8 8 9 10 11 11 11 11 10 10 9 8 8 7 7 8 9 9 9 10 10 9 8 7 7 7 7 7 6 6 6 5 3 1 2 2 2 2 3 3 3 3 3 3 3 4 3 4 4 5 4 4 5 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 8 9 13 15 14 12 10 10 10 11 12 11 11 10 12 12 10 5 3 3 4 5 6 8 8 8 9 9 9 9 9 8 7 7 8 8 9 8 7 6 7 10 14 17 17 15 13 10 8 8 10 9 7 7 9 13 17 20 18 14 11 9 8 6 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 7 7 6 6 6 5 6 8 12 8 3 4 7 9 9 10 10 9 8 10 17 23 15 1 -4 -1 1 1 1 3 5 6 1 -4 -2 4 7 8 8 9 8 8 8 9 9 9 9 8 6 5 3 4 6 4 4 9 10 0 2 12 9 4 3 3 4 5 6 8 5 8 11 8 8 3 1 1 2 1 1 2 4 6 5 3 5 8 10 10 11 10 9 7 4 5 5 9 9 4 3 3 3 3 3 2 0 1 3 3 2 2 2 2 0 1 2 2 2 2 3 4 4 5 6 6 6 5 5 5 4 5 6 5 5 6 7 6 5 5 7 8 6 2 3 8 10 9 6 5 6 6 6 6 5 4 5 6 5 5 6 5 7 9 7 7 7 5 3 4 6 7 8 8 9 7 5 6 7 5 4 5 6 6 5 6 5 4 1 4 6 3 3 5 6 6 4 3 1 1 2 2 4 6 7 6 5 6 7 6 6 7 7 9 16 19 15 11 8 6 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 1 -1 1 3 4 6 7 8 9 12 15 13 6 7 11 11 9 7 7 7 7 7 8 8 8 8 8 9 11 13 12 8 4 2 2 2 2 3 5 9 12 12 10 8 7 7 7 8 8 8 8 8 8 8 6 4 3 4 7 11 14 14 12 10 9 8 7 6 6 5 4 3 3 3 4 5 5 6 6 7 7 7 6 5 4 5 5 6 7 7 6 7 8 9 9 9 10 9 10 10 10 9 9 8 7 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 9 11 12 12 13 14 15 14 14 14 19 24 25 14 5 -0 -2 -2 3 7 9 11 12 14 17 19 15 11 10 11 12 14 15 15 16 14 13 11 12 12 12 12 12 12 12 11 10 10 11 11 11 11 10 10 9 10 9 9 10 10 10 10 11 12 12 10 8 7 6 6 8 11 12 13 13 13 13 14 15 15 14 13 11 10 10 11 12 13 13 13 14 14 13 13 12 12 12 12 12 12 13 13 12 12 12 12 11 11 12 11 11 12 12 13 13 13 12 12 12 12 13 13 13 14 14 13 14 13 11 12 15 16 15 13 13 13 12 11 9 10 13 15 14 12 11 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 12 13 13 13 12 11 12 12 12 11 11 11 12 14 14 13 12 10 8 9 15 24 26 19 15 13 13 12 12 13 13 13 14 15 15 14 13 11 8 8 13 16 15 16 17 18 17 16 15 14 14 14 13 12 12 14 15 15 14 12 12 12 13 15 17 17 15 14 15 16 17 19 18 15 12 13 14 14 12 11 9 12 18 23 22 17 15 14 13 12 12 13 12 12 12 12 13 13 13 13 14 15 14 13 13 13 12 13 13 12 12 11 11 11 11 12 11 11 10 10 10 11 11 11 11 12 11 10 10 10 10 10 11 12 12 11 10 11 12 10 9 10 10 10 10 10 10 10 10 10 9 10 10 9 9 10 10 10 10 10 9 10 11 10 11 11 11 11 11 11 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 14 14 13 14 16 16 15 13 12 14 14 13 11 10 8 7 9 12 14 14 15 15 15 15 15 15 15 16 17 17 15 11 13 17 18 16 13 10 10 10 9 9 10 10 11 14 17 20 21 20 17 15 14 14 14 13 12 12 11 11 11 12 12 11 12 13 13 14 14 12 12 12 14 15 15 13 13 12 13 14 15 14 14 14 14 13 14 18 22 21 17 12 11 12 12 10 10 12 15 14 12 11 10 11 14 14 14 14 14 14 14 13 13 13 13 13 13 12 11 12 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 15 15 16 21 27 24 10 -0 -2 2 6 6 5 7 9 10 12 14 16 14 13 12 14 15 16 16 15 15 15 13 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 9 8 8 8 8 8 8 9 10 11 12 13 12 11 9 7 7 7 8 10 12 12 13 13 13 14 14 14 13 11 10 9 10 11 11 12 13 13 13 14 14 14 13 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 14 15 15 14 13 11 8 10 14 16 15 13 12 12 13 13 11 11 12 13 13 12 12 12 13 13 14 14 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 13 14 14 14 12 10 5 2 7 19 31 31 26 19 14 12 12 12 12 13 13 14 15 15 14 14 12 10 10 11 12 13 15 16 16 16 15 15 14 14 13 12 11 12 13 14 15 14 12 10 10 12 15 17 17 15 13 11 10 16 21 16 13 14 15 15 14 11 4 1 5 12 17 18 16 15 15 13 12 13 13 13 13 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 12 11 11 12 12 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 12 11 11 11 12 12 12 13 13 13 14 14 14 15 15 15 14 14 15 14 12 9 6 6 7 9 12 13 14 15 15 14 14 14 14 14 14 14 15 16 17 17 18 18 16 14 12 13 13 13 12 12 12 12 12 12 13 14 14 14 14 15 14 14 13 13 13 12 11 11 12 12 12 13 12 13 14 14 12 11 11 13 15 15 15 14 13 12 13 14 15 15 15 15 13 13 16 19 21 19 13 12 13 14 13 12 12 14 14 12 11 12 12 13 13 12 13 14 14 14 14 14 13 12 12 12 12 11 12 12 12 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 -1 -0 6 11 9 7 10 11 11 11 12 13 14 15 17 18 18 16 16 15 14 14 13 14 14 15 15 14 13 11 10 10 10 11 11 11 11 10 9 9 9 9 9 8 9 10 11 13 14 13 13 11 9 8 6 7 9 10 12 12 12 12 13 13 14 14 14 11 10 10 10 11 12 12 13 13 13 14 14 14 13 13 13 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 14 15 15 14 13 11 9 9 11 13 13 12 12 11 12 13 13 12 12 12 12 12 13 12 13 14 14 14 14 13 12 12 12 13 13 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 13 14 13 12 9 3 1 5 16 25 31 31 23 16 12 12 13 12 12 13 14 14 15 15 14 13 12 11 11 11 13 13 13 14 15 16 16 15 14 14 13 11 12 13 14 14 13 12 10 10 12 15 17 17 14 11 6 9 17 16 13 13 12 13 16 16 10 4 4 5 10 12 14 15 15 14 13 13 13 13 13 13 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 13 12 10 10 10 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 11 11 12 12 11 11 12 12 12 11 11 11 11 11 12 12 12 13 14 14 15 15 15 15 15 15 15 16 15 15 14 12 11 10 11 13 14 14 14 15 15 14 13 13 13 13 13 13 13 14 15 16 17 18 17 15 14 14 15 15 15 15 14 13 13 13 13 13 13 14 14 15 14 14 13 13 12 12 11 11 11 12 13 13 14 14 13 13 13 11 11 13 15 16 16 15 14 13 12 12 13 14 14 14 15 14 15 16 18 21 17 13 13 14 15 14 13 13 14 13 12 12 11 12 12 12 13 12 13 13 14 14 13 12 12 11 11 11 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 14 14 15 15 17 17 17 15 15 15 14 14 14 14 14 14 15 15 14 13 11 9 8 9 10 10 10 11 11 11 11 11 11 11 11 12 13 14 15 16 15 14 12 9 8 6 7 9 10 11 11 12 12 12 13 14 14 14 13 11 10 10 11 11 12 13 13 13 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 14 14 13 12 12 11 11 12 13 12 12 12 13 13 12 13 13 13 12 11 13 13 13 13 14 14 14 13 12 12 13 13 13 14 14 13 13 14 14 14 14 13 13 13 12 13 12 12 12 12 12 12 13 14 15 12 5 1 2 10 20 33 33 22 15 14 13 13 13 12 13 14 14 15 16 14 13 12 11 11 12 12 11 11 14 19 22 19 16 17 15 14 13 13 12 11 12 12 11 10 10 12 14 15 14 12 11 10 12 13 13 13 13 12 14 16 16 12 9 7 7 8 10 13 14 14 13 13 12 13 15 15 15 15 14 14 13 13 14 14 13 12 12 12 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 11 10 11 11 11 10 11 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 11 12 12 12 11 12 12 12 11 11 12 12 12 11 12 12 12 12 12 13 13 14 14 15 16 15 15 14 14 16 16 16 15 13 14 14 13 14 15 15 15 15 15 15 14 13 13 13 12 13 13 13 13 13 14 16 18 17 16 15 14 14 15 15 14 15 16 15 14 14 14 14 14 14 14 14 13 13 12 12 12 11 11 11 12 13 13 13 14 14 14 14 13 12 12 14 16 16 15 14 12 12 13 13 13 13 14 14 14 14 15 17 19 19 16 15 14 13 13 12 13 14 14 12 11 12 13 13 12 12 12 12 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 12 12 12 13 15 15 15 16 16 15 13 12 11 9 9 9 9 9 10 10 11 11 12 12 13 14 14 15 15 15 16 16 16 14 11 9 7 6 7 8 10 10 11 12 12 12 13 14 15 14 13 11 10 10 11 11 12 12 13 13 13 14 14 13 14 13 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 13 13 13 12 13 13 13 12 12 13 12 12 13 13 13 12 13 13 12 12 12 12 13 12 12 13 14 14 14 14 14 14 14 14 13 12 12 13 14 15 14 13 14 14 14 14 14 14 13 13 12 12 13 12 13 12 12 12 13 14 15 14 10 4 1 6 26 37 29 22 17 14 14 14 13 12 14 14 14 15 14 14 14 13 12 13 12 9 5 5 14 25 24 19 20 18 16 15 14 13 10 9 10 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 13 13 12 10 9 8 8 8 10 12 13 14 14 13 14 15 15 15 16 16 16 15 15 15 15 14 14 12 12 12 12 12 12 12 11 12 12 11 11 12 13 13 13 14 14 14 14 14 14 14 14 14 13 12 12 11 10 10 10 11 11 11 10 10 11 11 10 11 10 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 11 12 11 11 12 11 12 12 12 12 11 12 12 11 12 12 12 12 13 13 14 14 14 15 15 15 14 13 13 14 15 15 13 11 12 13 14 14 15 15 15 15 14 14 15 14 13 13 12 13 13 13 13 14 14 14 17 19 20 18 16 14 14 14 15 16 16 16 15 14 13 13 13 13 14 13 12 12 12 12 11 12 12 12 13 13 13 14 13 13 13 13 13 13 13 14 15 16 15 13 12 13 13 13 12 13 14 15 15 14 13 14 15 16 17 17 14 11 10 10 12 13 13 12 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 7 8 8 8 7 6 6 8 9 9 8 7 5 4 4 5 7 9 10 10 10 8 6 4 3 3 4 4 3 3 2 2 1 1 2 2 2 1 2 4 6 6 5 7 5 3 3 4 5 8 10 10 9 9 8 7 6 6 6 7 8 7 6 7 7 7 5 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 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 1 4 4 1 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 22 24 24 24 22 18 9 1 0 0 0 0 4 6 6 4 2 17 32 45 49 43 34 22 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 26 37 41 46 56 65 53 54 51 45 45 52 61 73 89 89 92 104 98 93 85 54 20 6 1 0 15 59 88 93 85 72 65 62 59 64 67 62 68 91 111 116 116 112 107 107 108 108 109 114 127 139 150 151 141 139 142 140 141 137 123 107 97 92 90 94 103 106 86 51 50 75 nan nan nan nan nan nan nan nan nan nan nan nan 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 7 8 8 7 6 6 8 9 10 9 7 4 2 2 4 6 7 7 6 4 2 1 0 0 1 2 2 1 1 1 0 0 0 1 2 1 1 2 3 3 3 4 3 3 2 3 4 6 8 9 9 8 8 7 6 5 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 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 6 14 20 22 21 17 9 1 0 0 0 0 0 4 7 7 6 6 13 22 36 45 43 33 19 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 1 10 28 36 39 57 64 83 93 70 51 36 36 36 41 52 62 66 52 56 66 78 82 72 40 12 3 1 1 18 66 107 119 108 88 74 70 69 68 62 57 65 77 82 91 102 106 106 106 106 106 112 120 125 131 140 146 146 144 144 142 139 126 112 101 92 88 91 98 105 107 98 84 89 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 6 6 7 7 8 8 7 7 7 8 9 10 9 7 5 5 6 7 7 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 1 1 2 3 5 6 6 7 6 6 4 3 2 1 0 0 0 1 0 0 0 1 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 10 10 6 2 0 0 0 0 0 0 2 5 7 7 6 9 15 26 38 40 32 19 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 14 19 32 47 59 66 54 44 32 24 32 38 52 59 55 40 43 51 54 53 46 34 18 12 23 29 45 88 125 135 126 108 88 78 78 78 72 67 63 61 62 72 87 98 104 106 106 106 109 118 124 126 128 133 139 141 141 139 134 120 106 95 88 85 86 93 100 103 102 106 121 142 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 6 6 7 7 8 8 8 7 7 8 10 10 8 8 7 7 7 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 8 18 30 36 32 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 13 23 23 27 31 34 34 37 38 42 45 46 50 51 53 57 55 38 20 14 30 65 88 98 99 120 137 135 128 119 100 81 74 76 76 78 73 62 54 55 71 86 98 106 109 109 112 119 124 125 125 125 128 129 127 124 122 116 106 98 91 88 87 92 99 105 108 113 128 146 160 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 nan nan 7 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 8 9 9 8 7 6 6 5 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 1 1 1 0 0 0 1 1 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 10 19 26 25 17 9 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 1 4 6 6 4 1 0 0 4 6 5 5 9 12 17 23 31 35 33 28 39 56 54 68 83 66 19 16 67 107 129 142 136 134 133 127 123 123 108 84 66 66 73 82 81 70 60 56 62 75 90 100 107 112 116 122 123 123 124 123 120 113 104 97 98 103 105 105 101 98 98 100 105 109 110 111 123 144 158 nan nan nan nan nan nan nan nan nan nan 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 6 7 7 8 8 8 8 9 9 9 9 9 10 9 9 8 8 7 6 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 1 1 2 3 4 3 3 3 3 3 3 3 3 3 4 3 2 3 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 12 14 12 9 7 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 3 12 21 26 22 13 4 0 0 0 0 0 1 2 3 7 16 21 24 30 44 67 66 80 107 106 76 52 75 122 139 144 141 131 120 121 126 126 115 94 71 64 72 82 86 79 68 62 62 72 85 93 100 107 114 120 121 120 124 127 118 102 87 77 76 85 100 110 111 113 116 118 117 112 106 102 112 132 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 8 7 7 7 6 5 5 6 6 7 7 7 6 7 8 9 9 9 10 10 10 9 9 8 8 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 1 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 37 46 33 16 6 0 0 0 0 0 0 0 0 0 2 6 14 36 59 84 88 98 111 119 130 117 121 143 142 142 142 134 120 120 127 128 121 106 86 73 78 89 97 92 78 70 68 74 85 91 95 102 112 118 119 117 122 126 117 98 80 69 69 78 100 113 115 124 136 139 134 122 107 99 104 117 133 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 8 7 6 5 4 3 4 5 6 6 7 7 6 7 7 8 9 9 9 9 10 11 11 10 10 10 9 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 27 41 38 20 7 1 0 0 0 0 0 0 0 0 0 0 0 5 21 50 75 87 103 100 109 124 129 133 135 134 138 142 141 132 124 124 125 123 116 104 93 88 94 103 101 90 80 76 79 85 89 91 98 109 118 120 118 121 124 112 96 83 77 82 94 111 114 112 122 139 150 152 138 115 99 97 106 120 126 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 nan 14 12 9 5 2 1 1 2 3 4 5 6 7 8 8 8 8 7 7 8 9 11 14 14 14 13 12 11 10 9 6 3 1 1 1 1 0 0 0 0 0 1 2 3 4 4 4 4 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 2 7 12 16 25 38 38 22 8 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 21 46 66 74 79 86 93 98 106 112 120 128 136 140 138 130 122 118 116 118 114 101 94 94 103 106 101 91 82 86 88 85 85 92 105 119 122 123 126 122 110 98 92 96 108 119 122 111 101 107 128 149 158 150 127 107 100 104 112 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 13 14 12 8 3 1 0 0 0 1 2 3 5 7 8 8 8 7 6 5 6 9 12 14 15 15 15 14 12 9 6 3 1 1 1 1 1 1 0 1 1 2 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 32 37 40 46 46 37 20 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 22 47 57 64 69 72 72 74 80 93 111 126 134 134 128 119 111 104 108 114 101 96 94 102 107 108 103 95 96 95 88 85 88 100 114 123 128 133 128 116 105 105 116 131 137 129 114 101 101 115 141 156 155 138 121 112 110 111 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 10 12 11 8 5 3 2 1 0 0 0 2 3 5 7 8 8 6 4 4 5 7 10 12 14 15 15 13 10 8 4 2 1 1 2 3 3 2 1 1 2 3 3 3 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 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 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 6 6 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 1 11 28 37 40 41 43 39 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 5 14 13 17 28 38 48 55 59 58 55 56 65 84 105 120 125 123 117 108 99 100 108 106 102 98 100 103 107 109 107 106 103 95 90 91 98 110 120 126 134 136 125 116 117 131 142 141 136 128 123 123 126 142 159 160 149 136 126 121 116 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 1 4 8 10 11 10 8 7 5 2 0 0 0 1 2 4 6 8 8 6 4 4 4 6 8 10 11 13 12 11 10 6 2 1 1 2 3 3 2 1 0 0 1 1 2 2 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 4 2 0 0 0 1 1 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0 0 2 20 25 28 29 34 36 31 7 0 0 0 0 0 0 0 0 0 0 0 0 2 11 24 32 32 24 22 29 35 42 45 44 41 42 53 74 97 114 118 116 110 103 101 105 106 106 106 106 102 104 108 113 114 112 103 94 94 101 110 117 120 125 129 125 119 122 136 145 141 139 139 147 155 157 162 170 168 157 145 137 130 121 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 2 3 6 8 10 11 12 11 8 5 2 1 0 0 1 2 4 6 6 6 6 5 5 5 6 7 8 9 10 10 8 4 1 0 0 1 1 1 0 0 0 0 0 0 1 1 2 2 2 2 1 0 0 0 1 1 1 1 1 2 2 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 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 1 3 5 5 4 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 6 2 0 0 14 21 21 22 24 28 31 24 9 1 0 0 0 0 0 0 0 0 0 0 1 5 9 16 21 13 8 12 17 21 24 33 31 28 30 43 67 91 104 107 105 101 97 94 93 97 104 108 107 106 108 112 116 117 109 97 94 101 110 118 117 113 114 113 109 110 126 141 142 140 141 152 164 172 178 180 175 163 150 139 130 120 111 108 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 0 0 1 1 3 4 6 8 10 11 11 10 8 5 2 1 0 0 1 3 4 5 6 6 5 4 2 2 3 4 6 7 7 4 1 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 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 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 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 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 1 6 8 6 2 0 0 2 7 15 19 21 25 31 34 26 13 4 0 0 0 1 1 1 0 0 0 0 0 0 2 2 0 0 1 4 7 10 17 18 17 17 22 37 58 75 83 85 86 83 78 75 80 90 102 109 110 109 108 109 110 110 99 89 96 106 117 117 108 101 98 96 97 106 118 129 133 134 140 152 164 172 176 176 168 154 141 130 120 114 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan 7 5 2 1 0 0 0 0 0 0 0 0 1 2 4 7 9 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 5 6 6 7 6 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 1 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 3 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 3 7 6 3 1 0 0 0 0 0 0 0 0 0 1 2 7 16 33 52 68 85 102 102 88 68 48 41 38 30 19 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 31 37 41 44 44 46 49 59 74 97 113 114 107 91 83 90 104 118 124 129 133 133 125 113 102 95 93 93 97 97 89 82 83 92 109 127 148 162 162 156 152 151 149 139 nan nan nan nan nan 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 5 3 1 0 0 0 0 0 0 0 0 0 2 3 6 8 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 6 21 42 56 68 84 97 100 92 72 54 37 21 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 28 34 38 41 45 47 52 61 81 102 113 111 101 93 96 106 119 127 131 132 130 124 115 106 101 103 108 118 117 101 84 84 99 116 127 139 148 150 149 148 147 144 135 130 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 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 3 3 2 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 24 36 46 55 63 72 75 68 56 43 30 20 12 10 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 22 32 39 45 49 53 55 58 69 88 107 112 105 97 95 104 116 123 124 123 119 109 100 96 98 106 121 133 132 118 102 98 115 133 138 139 139 138 136 134 132 129 130 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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