Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 3 4 3 3 3 4 5 6 6 6 8 9 9 9 9 9 8 7 5 4 4 4 3 3 4 3 3 3 3 4 4 5 5 6 7 7 6 5 5 4 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 3 3 2 3 3 3 4 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 8 9 9 9 9 9 9 9 8 8 7 8 8 7 5 4 4 5 8 9 9 8 7 7 8 9 9 7 5 4 5 11 12 7 5 3 3 5 8 11 14 14 12 5 1 9 13 5 9 10 7 7 8 5 1 -1 0 2 3 2 3 7 6 4 5 6 5 1 -0 4 6 5 6 7 4 3 5 7 5 5 7 10 14 14 14 14 15 12 5 3 7 10 10 10 10 14 21 28 30 28 22 13 5 2 2 2 2 2 3 2 3 3 6 13 18 16 10 5 4 4 4 3 3 3 3 4 3 3 3 3 3 2 1 1 1 1 1 2 2 2 2 3 4 5 5 6 8 25 34 19 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 5 6 7 4 5 5 4 4 4 4 4 5 5 4 4 5 4 4 4 5 7 8 7 7 6 5 4 3 2 3 3 4 5 5 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 2 1 0 -0 -0 -0 0 0 -0 -0 -0 -1 -2 -1 2 3 4 8 7 3 3 6 6 4 3 4 3 -0 -2 2 -1 -6 -2 1 -3 -12 -14 -14 -14 -9 -7 -8 -9 -4 3 6 5 4 4 6 9 11 12 12 7 4 8 11 13 14 13 11 9 10 10 9 10 10 9 6 5 5 5 4 5 5 6 7 7 7 6 4 2 1 2 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 nan nan nan 5 5 4 4 3 3 3 3 4 5 5 5 5 6 7 8 9 10 9 8 7 5 5 5 5 5 5 4 4 4 3 3 4 5 4 5 6 6 5 4 4 3 3 2 2 2 3 3 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 3 4 4 4 5 4 3 3 3 3 3 3 4 4 3 4 5 4 4 4 3 4 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 6 7 8 10 10 9 9 9 9 9 9 9 9 8 8 7 6 4 4 5 8 9 8 8 8 8 7 8 7 6 5 4 5 12 15 10 7 6 8 7 7 10 16 17 12 2 -4 1 5 4 9 8 5 2 2 4 4 4 4 3 3 2 4 6 5 2 2 4 5 7 7 5 3 4 6 7 3 2 3 3 4 6 8 10 14 15 11 10 12 9 6 7 12 15 14 12 13 18 24 27 26 22 15 7 2 2 2 2 2 3 2 2 3 5 9 16 18 13 7 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 2 2 1 1 2 3 4 5 5 6 7 10 25 35 22 7 5 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 4 4 5 4 3 2 3 2 2 2 4 4 4 5 5 5 5 5 4 4 4 4 6 7 7 6 5 5 4 4 3 2 2 3 4 5 5 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 1 1 0 0 -0 -0 -1 -0 -1 -1 -1 -2 -2 -2 -2 -1 -0 1 -1 -4 -2 6 11 10 8 6 4 6 5 5 6 5 3 4 9 8 -1 -5 -2 -0 -1 -1 -2 -5 -4 1 7 6 4 3 4 5 6 7 9 7 5 8 11 12 12 12 10 8 7 6 5 5 6 5 5 5 5 5 5 5 5 6 7 8 8 7 4 2 1 2 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 6 4 3 2 3 3 4 4 4 4 4 4 5 6 8 9 9 9 9 8 7 6 6 6 6 6 5 5 4 4 4 4 5 4 4 5 4 4 4 3 3 3 3 3 4 4 5 5 5 5 4 3 4 4 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 8 9 9 9 9 8 8 9 9 10 10 9 9 9 8 7 6 4 4 5 7 9 9 8 8 8 7 7 6 6 5 4 6 12 12 10 9 9 7 2 3 9 16 15 9 2 -6 -7 -1 7 6 2 1 1 2 3 3 3 3 4 3 3 4 6 5 2 3 4 5 6 7 6 5 5 5 4 3 6 8 4 4 7 9 9 10 11 11 10 7 5 6 11 15 16 13 12 13 15 17 17 17 15 9 4 2 2 2 2 2 2 3 3 3 6 12 17 16 10 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 1 1 1 2 1 1 2 3 4 5 5 7 8 10 29 43 25 7 5 5 5 6 6 6 5 5 4 4 4 4 5 5 6 5 5 5 5 5 2 -2 -2 -1 -3 -3 1 4 4 5 5 4 4 5 5 4 4 4 5 6 6 5 4 5 5 4 4 3 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 3 3 3 3 2 1 1 1 0 0 0 -0 0 0 -0 -0 -1 -1 -2 -2 -2 -1 0 -3 -9 -8 0 8 11 10 7 5 7 9 10 10 8 5 4 8 10 7 3 3 7 5 4 3 1 0 4 8 7 4 3 4 5 5 6 6 6 6 7 9 10 12 11 9 7 6 5 4 4 4 5 6 6 6 6 6 5 5 6 7 9 9 8 5 2 2 3 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 6 5 3 3 3 3 3 3 3 3 3 3 3 4 5 7 8 9 9 9 9 7 6 6 7 7 7 7 6 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 6 6 5 6 7 9 10 10 9 7 6 7 8 9 9 10 10 10 9 8 7 6 4 4 5 7 9 9 8 8 7 7 6 6 5 5 2 -1 -0 5 10 8 7 5 -1 1 6 8 9 8 7 -1 -4 0 6 1 -1 2 5 6 5 4 2 2 3 4 5 9 7 4 3 5 4 3 4 4 4 5 7 5 4 5 9 14 9 6 7 7 8 7 9 15 15 9 7 9 12 15 15 13 12 12 12 12 13 12 9 5 3 3 2 2 2 2 3 3 3 4 8 14 17 13 7 4 4 5 4 3 3 3 3 4 3 3 3 4 3 3 2 2 1 1 1 2 2 2 3 4 5 6 7 7 8 11 35 49 23 7 5 5 6 6 6 4 4 5 5 5 5 4 5 5 6 5 5 4 5 6 3 -3 -4 -1 -3 -4 -1 4 5 4 4 4 4 4 4 4 3 4 5 6 6 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 1 1 1 2 2 2 2 2 1 -2 -3 -3 -1 1 2 0 -2 -1 3 7 10 8 4 5 7 11 14 12 7 5 6 10 12 10 7 6 4 3 4 4 5 9 10 8 4 2 3 4 5 5 5 6 7 7 7 9 11 10 8 7 6 5 4 3 4 5 6 6 6 6 6 6 5 5 6 8 9 8 6 4 3 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 5 6 5 3 3 3 3 4 4 3 3 3 3 3 4 5 6 7 8 10 10 9 8 7 6 7 7 7 7 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 8 9 10 9 8 7 7 7 8 9 9 10 10 10 9 8 7 6 5 4 5 7 9 9 8 8 7 6 6 6 5 4 -2 -15 -20 -5 9 7 7 8 4 -1 -1 -0 8 13 12 5 2 3 3 1 3 6 9 8 6 5 4 3 5 7 8 12 9 5 5 4 4 3 4 3 3 4 5 6 7 9 8 8 8 8 4 -1 3 8 11 14 15 13 11 12 14 15 14 12 12 11 10 11 11 8 5 4 3 3 3 3 3 2 3 3 4 6 10 15 15 10 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 2 2 1 2 3 4 6 7 7 7 7 12 35 48 24 7 5 5 6 5 4 4 5 5 5 5 5 5 5 6 6 6 5 4 5 6 5 0 -5 -1 6 6 3 4 5 4 4 4 4 4 4 4 3 3 4 5 6 5 3 3 3 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 7 6 6 5 5 5 5 4 4 4 4 3 2 2 3 3 3 2 2 2 3 3 4 4 3 2 1 1 4 6 7 9 10 9 5 3 5 9 10 6 5 5 8 14 15 12 9 6 9 13 13 11 7 4 3 4 5 6 9 10 9 5 1 1 3 4 5 6 6 6 6 7 9 11 11 9 7 5 4 4 4 5 5 6 6 6 5 5 5 4 4 5 7 8 8 6 5 4 4 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 3 2 2 4 6 5 4 4 3 4 4 4 4 3 3 3 3 3 4 4 5 6 8 9 10 9 8 6 6 6 6 6 5 5 5 6 7 6 6 6 6 6 6 6 5 6 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 7 8 9 8 8 8 9 10 10 10 10 10 11 11 10 8 7 7 5 4 5 7 9 9 8 7 6 6 5 5 5 4 -0 -9 -11 -3 1 0 5 11 4 -8 -9 -1 8 14 13 8 4 4 4 4 4 5 7 7 7 6 5 5 9 10 8 9 8 6 5 5 5 6 5 4 5 5 4 5 7 10 5 -4 -1 7 6 -2 -0 11 13 12 14 14 12 12 14 15 13 12 11 10 8 8 7 6 4 4 3 3 3 3 3 3 3 3 4 7 12 15 13 8 5 4 4 4 3 4 4 3 3 4 4 3 3 3 3 3 3 2 2 2 2 1 1 2 3 5 6 7 7 6 6 9 29 49 31 9 5 6 5 5 5 4 4 5 6 5 5 5 5 6 6 7 6 5 4 4 5 3 -2 -4 3 9 6 4 5 5 5 4 4 4 3 4 3 3 3 4 6 5 4 2 3 3 3 4 4 4 5 5 5 5 6 5 5 4 3 4 5 6 6 6 6 6 7 7 7 6 7 6 6 5 5 5 4 3 3 3 3 3 3 2 3 2 3 3 3 3 4 5 6 9 14 17 15 12 12 12 10 6 4 5 8 9 8 7 6 5 8 13 14 12 9 10 13 13 11 7 5 5 4 5 5 7 10 10 7 2 -1 0 3 5 6 6 6 6 6 9 11 11 10 7 5 4 4 4 5 6 6 6 6 5 5 4 4 4 5 7 8 7 6 5 5 5 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 1 1 3 5 5 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 5 6 8 9 8 7 7 6 5 4 4 4 4 5 6 6 6 6 6 6 5 5 6 5 5 4 4 3 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 5 5 6 6 6 7 7 7 7 9 11 12 12 11 10 12 12 12 10 9 8 7 6 5 5 7 9 9 8 7 6 6 5 5 5 5 3 1 5 9 4 -3 -2 1 -6 -13 -9 2 7 8 7 6 6 6 6 5 5 5 5 5 6 7 6 7 11 11 8 6 4 4 4 4 8 11 7 6 7 7 6 4 2 9 11 -0 -4 6 11 6 3 8 13 13 12 13 12 9 11 13 11 10 9 7 6 6 5 4 4 4 3 3 3 3 3 3 3 4 5 9 14 15 11 7 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 2 4 6 7 6 6 6 5 5 20 45 37 13 7 6 6 6 6 5 5 6 6 6 6 5 5 5 5 6 6 5 4 4 4 3 2 -4 -6 -1 5 5 4 5 5 4 4 4 4 4 3 3 3 4 5 5 4 3 2 2 2 4 5 5 5 5 5 6 6 6 5 4 4 4 4 5 6 5 6 6 6 6 7 7 7 7 6 5 5 4 4 3 4 3 3 3 2 3 3 3 4 3 3 3 4 5 11 20 24 18 11 8 11 11 7 5 5 7 8 7 7 9 9 6 5 7 8 9 10 11 11 10 8 5 4 4 4 4 4 6 9 11 9 4 -1 -2 1 4 5 6 7 7 7 8 10 11 10 7 5 4 3 4 5 6 6 6 5 4 4 5 5 5 6 6 6 6 6 5 5 5 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 1 0 2 4 5 4 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 5 6 7 8 8 7 6 4 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 3 4 4 5 5 5 4 4 4 3 4 3 3 4 3 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 7 9 11 11 11 11 11 12 12 12 11 10 8 7 6 5 5 7 9 10 9 7 6 5 5 5 5 5 4 3 1 5 9 6 1 -3 -7 -8 -3 3 4 1 0 3 6 9 7 6 6 6 6 5 4 5 6 7 9 7 6 4 2 2 3 5 11 11 6 6 7 9 10 5 -1 6 14 12 5 9 13 8 7 8 13 12 10 12 12 9 10 11 10 9 7 7 6 5 4 4 4 3 3 3 3 3 3 3 4 4 6 10 14 14 10 5 4 3 4 3 3 4 3 3 4 4 3 3 4 3 3 3 2 2 2 1 1 1 2 3 5 6 6 6 6 6 5 5 11 33 36 18 10 9 8 8 8 8 7 6 6 7 7 6 5 5 6 5 5 5 4 4 4 3 3 1 -4 -4 1 4 4 5 4 4 4 4 4 4 3 3 3 4 4 5 4 3 2 2 2 3 5 6 6 5 5 6 6 6 6 5 4 4 4 5 5 4 4 4 5 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 3 4 5 6 7 6 7 9 11 16 21 18 10 5 3 6 9 7 5 5 6 9 9 7 8 10 8 6 4 3 3 7 9 8 6 5 5 4 4 4 4 4 5 7 10 12 8 0 -5 -3 2 4 6 7 7 7 7 9 10 10 8 5 4 4 4 5 5 5 5 4 4 5 6 7 7 7 6 5 5 5 5 4 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 nan 3 2 2 2 4 5 4 2 2 2 2 2 3 4 4 4 4 4 4 4 3 3 3 4 4 5 6 7 6 6 5 5 3 3 2 2 3 3 3 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 11 11 11 11 12 12 11 9 8 8 6 5 5 7 9 10 9 7 6 6 5 5 5 4 5 3 -3 -5 2 11 11 5 1 1 4 3 1 -1 2 5 7 9 7 6 6 6 6 5 5 5 4 6 6 4 3 2 1 2 4 7 9 6 6 7 6 8 10 7 3 3 6 5 4 9 12 7 6 8 14 16 13 13 13 11 8 6 6 7 7 7 6 5 4 4 4 4 4 4 3 3 4 4 4 5 7 10 13 12 8 5 4 3 3 3 4 4 3 3 3 3 3 3 3 4 3 3 3 3 2 1 1 2 3 4 5 6 6 5 6 5 5 5 7 19 30 25 16 12 11 11 12 11 10 9 7 7 7 7 7 6 6 5 4 5 5 5 5 4 3 3 1 -2 -1 3 3 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 4 5 5 6 5 5 7 7 7 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 2 2 2 2 2 3 4 8 14 20 23 25 26 20 13 9 6 5 4 4 6 6 5 5 5 8 9 8 7 8 9 11 9 4 2 4 6 6 6 5 4 4 5 5 4 4 5 6 9 13 14 6 -1 -5 -2 3 6 6 7 8 7 8 8 8 6 5 4 4 4 4 5 5 4 4 4 5 7 8 9 9 8 6 5 5 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 5 4 5 5 4 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 3 4 4 4 4 5 5 5 6 5 4 3 3 2 3 3 3 3 3 2 3 3 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 3 3 3 4 3 4 4 4 4 4 4 5 6 5 5 5 6 5 5 4 5 5 5 4 4 5 6 7 9 9 10 11 11 10 10 10 10 9 8 8 7 6 6 7 9 9 9 8 6 6 5 5 4 4 4 4 1 -3 -1 6 9 8 8 6 5 4 6 10 12 10 8 8 7 5 5 6 7 7 6 5 4 5 4 3 2 1 1 5 7 9 7 5 7 7 7 8 7 5 5 5 3 -3 -0 4 2 2 2 5 13 19 18 14 12 8 2 -0 3 5 6 7 6 4 4 4 4 4 4 4 4 3 4 5 5 5 7 10 12 11 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 2 3 3 5 5 6 6 6 5 5 6 6 6 8 17 25 22 19 17 15 15 14 14 14 12 9 7 8 10 10 8 6 5 5 5 5 4 4 4 4 2 -0 0 1 2 2 3 3 3 4 5 5 4 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 7 6 5 5 4 3 3 2 2 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 2 1 0 -1 -2 1 9 19 33 40 35 24 15 9 6 6 5 5 5 5 5 5 5 5 7 9 11 8 7 8 11 13 10 5 5 6 6 6 6 6 5 5 5 5 5 5 5 7 12 15 10 6 3 -1 2 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 4 4 4 5 6 9 10 10 9 7 7 5 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 7 8 8 7 7 6 4 3 2 3 3 3 3 2 2 2 2 3 4 5 5 4 4 4 4 4 3 3 3 4 5 5 5 5 4 3 3 3 4 4 3 3 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 4 4 5 5 4 4 4 5 7 8 9 10 10 10 9 9 9 9 8 8 8 8 7 6 7 9 9 9 8 7 5 5 4 4 4 4 4 3 3 2 4 6 5 5 2 1 5 12 17 16 12 8 7 7 7 6 4 6 8 8 6 5 5 4 4 4 3 4 8 11 11 6 6 6 7 9 7 6 6 7 12 10 1 -1 3 -4 -7 -3 5 12 15 15 12 9 6 3 4 6 6 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 7 9 12 10 7 4 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 6 6 5 5 6 7 6 6 7 13 17 18 19 19 18 18 17 18 21 19 12 8 9 11 10 9 10 11 12 10 7 6 7 6 4 3 2 1 1 1 1 2 3 3 3 4 5 5 4 4 3 4 4 4 4 5 6 8 8 7 4 2 1 1 2 5 6 6 5 5 4 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 1 1 1 1 1 1 0 -1 1 8 16 27 37 29 12 7 7 6 6 6 5 5 6 5 5 5 6 7 10 12 12 9 7 7 9 10 9 7 8 7 6 6 6 6 6 6 6 6 6 6 6 9 11 9 7 7 4 2 4 5 6 6 7 7 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 7 8 9 9 9 8 6 6 5 4 4 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 3 6 7 9 9 9 8 6 4 3 3 4 4 4 3 3 2 1 2 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 5 6 8 9 8 8 8 8 7 8 8 8 9 9 8 8 7 7 8 9 8 7 7 5 5 4 4 4 4 4 3 3 2 4 4 1 -4 -6 -0 8 11 13 13 9 7 8 8 10 9 4 5 10 10 8 6 5 5 5 3 2 5 9 10 8 6 5 6 8 9 6 8 10 12 15 12 4 1 11 18 8 1 7 13 11 9 8 8 8 11 12 10 6 5 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 6 9 11 11 7 4 3 3 3 2 2 3 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 6 6 5 6 6 6 6 6 6 5 8 9 11 13 15 16 16 18 23 27 23 16 10 8 10 11 15 19 20 20 20 17 13 10 8 6 3 2 2 1 1 1 1 1 2 2 3 5 5 4 4 4 4 4 4 4 5 6 9 9 7 4 -0 -4 -4 -1 1 2 4 4 4 3 2 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 0 0 1 3 5 8 8 5 5 9 11 17 18 10 6 6 6 5 6 6 5 6 7 6 7 8 9 9 9 9 7 5 4 5 5 8 9 9 9 9 7 6 6 6 7 7 7 7 7 7 7 8 8 8 7 4 3 4 5 6 6 6 7 7 6 6 7 8 8 8 7 7 7 6 6 5 5 5 5 6 8 10 9 7 7 6 5 4 4 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 2 4 6 7 9 10 10 9 6 3 3 3 4 5 5 4 3 1 1 2 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 4 5 5 5 4 3 3 3 3 4 3 3 3 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 5 5 7 8 9 8 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 10 9 6 4 4 4 4 4 4 2 -2 -4 -4 -3 -7 -7 3 10 9 9 12 8 4 5 8 13 13 6 3 9 11 8 5 5 6 6 4 2 4 8 7 5 5 5 7 11 9 5 6 11 12 13 10 6 5 19 39 30 13 9 11 9 8 9 9 10 13 12 9 7 6 5 3 3 4 4 4 3 3 3 4 5 5 5 5 5 6 8 11 11 8 5 3 3 3 2 2 3 3 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 3 3 4 5 5 5 6 5 5 6 6 6 6 6 5 6 6 7 9 10 10 14 20 23 22 18 13 12 12 15 19 20 21 24 24 21 16 11 7 4 3 3 3 3 2 1 1 -0 0 2 3 4 4 4 4 4 4 3 3 3 3 5 8 9 8 5 -0 -4 -4 -1 2 3 4 4 3 2 1 0 1 1 1 1 1 1 1 1 2 1 1 0 0 -0 2 4 7 13 16 14 8 1 2 5 7 9 8 8 7 6 4 4 5 5 5 6 5 5 7 8 6 5 5 4 3 3 3 4 5 7 8 9 9 7 6 6 6 7 7 7 7 8 8 8 7 7 8 9 6 3 3 5 5 6 6 6 7 6 6 7 7 8 8 8 8 8 8 7 7 6 5 4 4 6 9 8 7 7 6 6 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 nan
nan nan nan nan nan 2 2 3 4 5 6 7 8 9 9 7 5 3 3 4 5 5 4 3 2 3 3 3 4 4 4 3 3 3 4 3 4 4 4 3 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 4 4 5 5 5 4 4 5 6 6 6 5 5 4 4 5 6 7 8 9 9 7 5 5 6 6 7 8 9 10 10 9 9 8 8 8 7 7 11 13 9 5 4 4 4 4 6 3 -5 -13 -12 -5 -3 -2 5 10 7 6 9 8 4 3 6 12 15 9 3 7 10 8 5 4 6 7 5 5 5 5 5 4 5 6 9 11 8 3 3 6 9 10 8 6 4 15 30 27 16 10 6 8 11 11 9 10 10 9 8 7 6 4 3 3 4 4 4 3 3 3 4 4 5 5 5 5 5 8 10 11 10 8 5 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 5 6 8 12 15 16 15 13 11 10 10 10 11 13 15 16 14 11 6 4 5 5 5 5 4 3 2 -0 -1 -1 -0 0 1 0 -1 -1 -2 -0 1 2 1 3 5 7 8 9 8 5 3 5 7 7 5 3 3 2 1 0 -0 0 1 1 1 1 1 1 1 1 0 -0 -0 3 8 8 8 14 15 12 7 2 2 6 7 6 6 7 8 7 5 5 7 9 6 5 4 2 3 5 6 5 4 4 4 3 3 3 3 4 6 7 7 7 6 5 6 6 7 7 8 8 9 9 8 7 6 8 9 6 4 5 5 5 5 6 7 7 5 5 6 7 7 7 8 8 8 8 8 7 7 5 5 5 7 7 6 6 6 6 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 1 2 2 2 3 4 5 5 7 9 10 8 6 4 3 4 5 5 5 5 4 4 3 4 4 4 3 4 4 4 3 4 4 4 4 3 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 7 6 5 5 4 5 5 6 8 8 9 9 8 6 5 5 6 7 9 10 10 10 10 10 9 9 9 5 1 4 11 12 7 4 3 3 4 5 5 -2 -10 -10 -3 -0 1 3 5 3 5 6 8 7 3 4 10 12 9 3 3 7 7 6 6 6 6 6 6 5 4 4 5 5 6 7 7 3 0 1 5 11 11 8 6 4 7 13 16 13 10 8 10 10 10 9 8 7 7 6 6 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 6 8 10 11 9 7 6 5 4 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 2 3 3 3 4 4 4 5 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 6 7 7 7 6 5 4 4 5 5 5 5 7 7 5 5 5 6 6 6 6 5 4 2 0 -1 -2 -3 -3 -5 -9 -11 -10 -7 -4 -0 2 3 3 4 5 6 9 11 9 8 9 10 8 4 2 2 1 1 -0 -0 -0 0 0 0 1 1 1 1 1 -1 -0 5 11 10 6 6 7 7 6 5 4 5 7 7 6 6 8 9 7 6 9 13 11 7 5 3 2 3 4 4 5 5 5 4 4 3 2 2 3 5 5 6 5 5 5 6 6 7 7 7 9 10 9 8 6 6 7 7 6 6 6 5 5 6 7 8 5 3 5 6 6 6 6 7 7 8 8 9 8 7 6 5 7 7 5 5 6 5 5 5 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 1 1 2 3 3 4 5 7 9 9 8 5 3 3 3 4 5 6 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 5 5 6 7 7 6 6 6 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 6 5 5 6 6 6 9 9 10 9 8 7 6 6 6 7 9 10 11 12 11 10 10 10 9 6 -0 -2 5 11 10 7 4 4 5 6 6 2 -1 -3 -0 2 4 2 3 0 1 4 10 11 6 2 5 8 6 4 3 4 6 7 7 6 5 5 6 5 5 6 6 5 5 5 2 0 4 8 10 13 10 6 5 6 5 8 11 11 8 8 10 8 8 7 5 5 6 6 5 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 7 9 11 10 9 8 7 5 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 5 4 2 0 -2 -3 -4 -9 -13 -8 -4 -2 -1 1 4 4 4 4 4 6 7 8 7 7 8 5 3 2 2 2 1 -0 -1 -2 -1 -0 -0 1 3 4 5 6 5 4 2 3 8 6 2 3 5 5 5 5 4 6 7 6 6 6 7 8 3 1 8 9 6 3 3 2 3 3 4 4 4 5 5 5 4 3 2 2 3 4 5 5 4 4 5 5 5 6 7 8 9 10 9 7 6 6 6 6 7 7 6 5 5 6 8 8 4 4 5 6 6 6 6 6 7 8 8 9 9 8 6 6 7 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 1 1 1 1 1 2 2 3 3 4 6 8 8 6 4 2 2 2 3 5 6 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 7 7 8 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 3 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 5 6 6 6 6 5 5 6 6 7 9 10 10 9 8 7 7 6 6 8 9 11 12 12 12 11 10 10 9 7 4 1 3 8 10 8 6 5 4 6 6 6 4 0 1 6 9 7 6 3 0 5 12 14 9 3 3 4 3 4 3 4 7 8 6 6 5 5 5 5 6 6 6 6 6 6 3 2 8 14 14 10 4 2 2 3 5 8 9 7 5 6 7 6 6 6 5 5 5 6 6 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 8 10 9 9 7 5 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 6 6 6 5 4 4 5 4 5 5 5 5 4 5 4 4 4 5 5 6 7 6 6 6 6 6 5 5 5 5 6 7 7 8 8 7 6 5 5 3 2 2 -1 -0 9 12 6 3 2 3 4 3 3 4 4 3 3 4 5 4 2 1 1 1 1 1 -0 0 1 2 2 2 4 8 8 7 10 13 12 6 3 5 6 5 5 6 5 5 5 4 5 6 5 5 7 8 8 5 1 4 7 4 2 2 2 3 3 3 3 4 4 5 5 5 4 2 1 2 3 4 4 4 4 4 4 4 5 5 7 8 10 10 8 7 7 7 6 7 7 7 6 5 5 6 7 6 5 5 5 6 6 6 5 6 7 8 9 9 9 7 6 6 6 6 6 5 5 5 4 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 3 2 2 2 2 2 2 2 3 3 3 4 6 7 8 6 4 2 1 1 3 4 5 5 5 4 4 4 4 3 4 4 5 5 5 5 4 4 5 5 5 5 6 6 7 7 7 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 4 4 4 3 4 3 4 3 4 3 3 4 4 4 4 4 4 4 5 6 6 6 6 6 5 6 6 7 9 10 9 8 8 7 7 6 6 7 9 11 12 12 12 11 11 10 9 8 6 4 4 6 7 7 6 5 4 4 6 9 9 5 3 9 14 11 6 9 5 3 10 14 10 4 3 3 2 2 2 6 12 9 4 4 6 6 5 5 6 6 6 7 9 10 8 6 7 10 11 7 2 2 2 2 5 7 7 5 3 5 5 5 5 5 5 5 5 6 5 4 4 4 3 3 4 4 3 4 4 4 5 5 6 6 5 5 5 5 6 7 8 9 8 7 5 4 4 4 4 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 5 5 6 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 7 8 8 8 7 6 6 6 5 4 4 9 22 27 16 5 2 1 -0 0 1 3 4 2 1 2 3 3 2 1 1 1 3 5 5 6 10 13 10 5 5 10 11 9 10 13 14 11 9 6 6 6 7 8 6 6 7 7 6 6 6 6 5 7 9 9 7 6 8 7 5 3 3 2 3 3 3 3 3 4 5 5 5 3 2 2 2 3 4 4 4 4 3 3 4 4 5 7 8 10 10 7 6 7 7 7 8 7 6 5 4 5 5 5 5 5 5 6 6 6 6 6 6 7 9 10 9 8 7 6 5 6 6 6 5 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 3 3 3 3 3 3 3 2 2 3 3 4 6 8 7 4 3 1 1 2 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 4 5 5 5 5 6 5 5 5 4 5 4 4 5 5 5 5 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 6 6 9 9 9 8 6 6 6 6 5 6 9 10 10 11 12 11 11 10 9 8 7 6 5 5 5 5 6 6 4 3 4 9 10 7 4 10 17 14 4 7 6 0 5 11 10 4 3 3 2 2 2 8 15 9 4 5 5 6 6 6 6 7 6 7 9 10 10 8 6 7 9 6 3 3 2 3 6 7 6 4 3 5 5 5 6 6 5 4 5 7 6 5 4 3 3 3 3 4 4 4 4 5 5 5 6 6 5 5 5 5 5 6 7 8 8 7 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 6 7 7 8 8 7 6 5 5 5 5 4 8 21 35 27 9 -0 -1 -1 -1 0 4 7 4 2 1 2 4 5 5 3 2 7 14 15 14 14 15 14 9 7 8 9 10 10 10 11 11 7 5 6 6 6 7 7 8 9 7 8 9 10 8 3 3 6 6 5 6 8 7 6 5 4 3 2 3 3 3 3 4 4 4 4 4 3 2 2 2 3 4 4 4 3 2 3 4 4 5 7 9 11 9 5 6 9 8 7 7 6 5 5 5 5 5 5 6 6 5 6 6 6 6 6 7 8 9 9 9 7 6 6 6 6 6 6 5 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
nan nan nan nan 5 4 4 4 4 4 3 3 3 3 3 3 3 2 3 6 8 7 6 4 2 2 2 3 4 4 4 4 4 4 3 4 4 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 6 6 8 8 8 7 5 5 6 6 5 6 7 9 10 10 10 10 10 10 9 8 7 6 5 4 4 4 5 7 7 5 4 7 9 6 3 9 18 17 5 6 5 -0 1 7 8 6 4 5 3 3 2 7 12 8 5 5 5 6 6 9 11 8 5 6 8 9 9 8 7 8 8 5 3 3 3 5 8 7 6 4 6 8 8 7 6 5 5 6 6 6 5 5 4 3 3 3 3 3 4 4 4 5 5 5 6 6 5 5 4 4 4 5 6 7 7 7 6 5 5 5 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 8 8 7 6 5 5 5 5 5 5 13 30 36 23 8 3 2 0 1 6 10 9 6 4 2 2 5 8 4 1 9 19 21 16 11 9 8 10 10 8 6 6 7 7 8 9 9 7 5 7 7 6 8 10 11 10 8 7 8 8 5 2 3 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 2 2 3 4 5 5 7 10 12 7 5 8 9 7 7 6 6 5 4 5 5 5 6 6 6 6 6 6 6 6 6 7 9 9 10 8 7 6 6 7 7 7 6 5 4 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 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 4 6 8 8 7 6 4 3 2 2 2 3 4 4 3 3 3 4 4 4 5 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 5 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 5 5 6 6 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 6 5 5 6 6 6 6 7 7 7 6 6 5 5 6 7 6 7 8 9 10 9 9 9 9 9 8 7 6 5 5 4 4 6 8 10 10 8 7 8 6 1 4 14 12 5 7 7 1 -3 2 5 7 9 9 5 4 3 5 6 8 7 6 6 5 6 9 11 9 5 5 7 8 8 6 6 7 7 7 6 5 4 5 10 10 7 6 10 10 7 6 5 7 7 7 7 6 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 3 2 2 2 3 3 4 4 5 5 5 5 5 6 6 6 5 6 6 6 6 6 5 5 4 5 5 5 5 5 5 6 7 7 7 7 6 5 5 5 5 5 4 7 17 29 30 22 15 13 9 5 5 6 10 14 14 10 4 5 9 4 -1 6 17 19 13 9 8 7 7 8 9 8 4 4 5 6 8 9 8 6 7 8 7 7 8 8 8 6 4 4 6 6 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 4 2 1 3 4 4 6 7 10 11 8 8 9 8 7 6 6 5 5 5 5 5 6 5 6 6 7 6 6 6 6 7 7 9 11 10 8 6 6 7 8 8 7 6 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 6 6 6 6 7 6 6 6 6 6 4 3 3 2 2 2 3 4 6 8 9 8 6 5 3 3 2 3 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 5 4 4 4 3 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 5 5 4 5 5 5 4 5 5 5 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 6 6 6 7 7 8 7 7 7 6 6 6 6 4 4 6 7 6 6 8 9 9 8 8 8 8 8 8 7 6 5 5 4 6 9 9 10 12 10 6 8 9 1 -0 7 8 5 9 10 5 0 2 4 6 9 11 9 4 3 4 4 7 8 6 6 6 6 6 7 8 6 5 7 9 6 3 2 5 8 9 10 9 7 8 11 10 8 10 11 8 4 3 5 7 8 6 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 5 3 3 3 4 4 5 5 6 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 2 3 4 4 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 4 5 4 4 4 4 5 5 5 6 7 7 7 6 5 5 5 5 5 4 4 7 14 24 27 22 21 20 14 6 2 4 13 24 24 18 16 15 9 2 6 14 15 11 8 8 8 7 7 8 10 6 4 4 6 6 6 6 5 6 7 6 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 6 5 0 1 3 4 5 6 6 8 8 8 9 9 8 6 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 8 10 11 9 7 7 7 7 8 8 7 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 7 7 7 7 7 7 7 7 6 5 5 4 3 2 2 3 5 7 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 5 6 7 7 7 6 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 5 4 4 5 5 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 6 7 10 12 11 10 9 8 6 5 5 5 5 5 5 5 7 7 6 7 8 9 8 7 7 7 7 7 7 6 5 5 7 10 12 11 8 11 9 3 5 8 2 1 6 7 4 8 12 8 5 5 7 4 6 10 11 6 2 3 3 5 7 7 6 7 7 4 3 5 5 5 6 7 5 4 5 6 7 6 6 8 8 8 11 10 10 11 9 5 3 3 5 6 7 5 3 4 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 6 6 5 4 3 3 4 4 5 5 5 5 5 5 5 5 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 2 3 4 5 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 6 6 5 5 5 4 5 5 4 4 6 11 19 22 23 25 22 15 7 3 6 17 26 24 21 17 12 7 8 11 11 10 9 7 8 7 7 7 9 9 7 6 6 5 6 7 6 6 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 5 8 4 0 3 4 5 5 5 5 6 7 8 9 9 8 6 6 6 5 5 5 4 5 6 6 7 7 7 7 6 6 6 7 8 10 9 8 7 7 7 9 10 9 7 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 6 6 7 7 7 7 7 7 7 7 7 6 5 4 3 3 3 4 6 7 7 7 6 6 6 6 5 4 4 4 5 5 5 5 4 3 3 3 3 3 4 5 5 7 7 7 6 5 5 4 3 3 3 4 4 4 3 4 4 3 3 2 3 2 3 3 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 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 4 5 5 5 4 4 4 4 4 5 4 5 5 7 8 8 7 6 13 23 27 23 14 8 6 5 4 4 5 5 5 5 6 6 6 6 6 7 8 8 6 6 6 6 7 6 6 5 6 11 15 12 9 8 10 8 1 1 3 4 5 10 11 7 11 15 9 5 7 10 6 5 8 10 6 3 2 3 3 5 6 6 7 8 5 2 2 3 4 4 3 6 11 12 8 3 -1 -1 2 3 4 6 7 10 10 6 2 1 2 2 4 5 3 1 4 4 4 3 3 3 3 3 3 4 4 5 5 4 5 5 6 6 6 5 4 4 3 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 2 2 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 5 8 12 15 21 24 22 16 12 10 11 16 17 13 12 10 8 8 9 9 8 9 7 7 7 7 7 7 10 11 10 8 7 8 7 7 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 6 6 4 4 4 4 4 5 5 5 6 8 9 9 9 8 7 6 6 5 4 4 4 5 5 6 7 7 7 7 7 6 6 7 8 8 9 8 7 7 8 11 12 10 6 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 4 5 6 6 6 6 6 6 7 7 7 6 5 5 5 4 4 5 6 6 5 6 6 7 7 6 5 4 4 5 5 6 6 5 4 3 2 2 2 3 3 4 5 6 6 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 1 2 2 1 1 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 7 8 8 8 9 19 36 42 32 15 5 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 6 5 6 6 5 5 6 11 15 14 9 5 5 9 11 4 -0 1 6 7 9 9 9 15 17 9 4 5 8 8 6 7 7 6 5 3 3 4 6 6 6 6 7 6 3 1 1 2 2 2 5 11 11 7 -2 -7 -6 -3 -1 2 1 -0 5 7 4 1 -1 -3 -4 -0 1 0 2 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 6 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 2 2 3 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 3 3 4 4 4 4 6 10 15 19 18 16 16 14 16 19 16 11 9 8 7 8 9 10 11 10 11 12 10 11 9 9 12 13 10 7 7 6 5 5 5 5 4 3 3 3 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 6 7 9 10 10 9 8 6 5 4 4 4 4 5 6 6 7 8 7 7 7 7 6 7 7 8 8 7 6 7 11 13 12 8 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 4 3 3 3 3 4 5 5 5 5 5 5 6 6 7 6 6 5 5 5 4 5 5 6 6 7 8 7 5 3 4 5 6 6 7 6 5 4 3 2 2 2 2 3 4 4 4 5 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 10 18 35 44 27 2 -5 -3 1 3 3 4 4 5 5 6 7 7 6 6 6 6 7 7 6 5 5 5 5 6 11 16 14 10 7 5 4 7 12 9 2 4 9 8 5 3 5 13 12 5 2 3 6 8 7 5 4 5 7 5 4 5 6 6 6 6 8 6 2 1 2 3 4 4 5 6 5 3 -4 -10 -5 -4 -6 -1 -0 -1 6 9 5 1 -6 -10 -8 -2 2 4 7 9 6 3 4 4 3 3 3 3 3 4 4 4 4 4 5 4 5 5 6 6 5 5 5 5 5 6 6 5 5 5 4 5 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 2 2 2 3 5 6 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 6 8 11 12 12 12 13 18 22 19 14 12 10 10 11 12 14 15 15 16 16 15 13 10 10 10 9 6 5 5 5 5 5 4 3 2 2 2 3 4 4 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 4 4 4 5 4 5 5 4 5 4 4 5 4 4 4 4 4 4 4 5 6 8 10 11 11 10 7 5 5 5 4 4 5 5 6 6 7 8 8 8 8 7 6 7 7 7 7 5 6 9 11 11 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 3 2 2 2 2 2 2 3 3 3 3 3 4 4 5 6 7 7 6 6 5 4 3 4 5 5 6 7 7 5 4 4 4 5 5 6 7 6 5 4 3 3 3 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 1 0 1 2 2 2 2 2 2 2 3 3 3 3 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 7 8 9 8 7 11 25 30 13 -8 -14 -7 0 3 3 3 4 4 5 6 7 7 7 6 6 6 6 6 6 5 5 4 5 9 15 16 10 7 8 8 4 2 9 10 3 4 11 10 9 5 4 7 7 4 2 4 7 10 8 4 2 3 4 5 4 5 6 6 6 6 7 7 4 2 4 6 7 7 6 3 2 4 -3 -9 -4 -2 -4 1 3 4 11 12 6 0 -8 -10 -6 2 10 9 9 11 6 3 4 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 5 6 6 6 5 5 5 6 5 5 5 5 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 2 2 2 3 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 7 10 14 18 16 14 13 11 10 9 10 11 10 11 12 11 11 9 8 8 8 8 7 6 5 5 4 4 3 2 2 1 1 3 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 6 6 5 5 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 9 10 12 11 9 7 6 5 4 4 4 4 4 5 7 8 9 9 8 8 7 6 6 7 7 6 5 7 7 8 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 2 2 2 2 2 2 2 1 1 2 2 3 3 4 6 7 7 7 5 4 3 4 5 5 5 6 7 6 5 4 3 3 5 5 6 6 7 6 5 5 4 3 2 2 2 2 2 2 2 2 2 2 1 2 2 1 1 1 0 0 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 7 9 9 7 7 10 5 2 -3 -12 -8 1 3 2 3 4 4 5 5 7 8 8 7 6 6 6 6 6 5 5 5 8 12 14 11 6 5 8 10 6 2 8 12 4 2 6 11 16 13 7 5 4 5 5 5 7 11 11 9 6 4 3 4 5 5 6 6 6 7 6 6 5 4 7 8 6 7 6 2 4 5 -1 -6 -2 1 4 9 11 11 14 13 7 1 -5 -6 0 11 16 11 9 10 6 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 5 6 6 6 6 6 5 5 5 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 2 3 4 5 6 5 5 4 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 3 4 5 5 4 4 4 4 4 4 4 5 5 4 5 6 8 9 8 8 7 5 4 4 4 4 5 5 5 6 7 7 8 9 9 9 7 6 5 4 3 3 2 2 1 1 1 2 3 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 3 3 4 4 5 7 9 10 11 10 9 7 6 5 4 4 4 3 4 5 6 8 8 8 8 8 7 7 7 6 6 5 5 6 7 8 8 8 5 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 2 2 2 3 3 2 2 1 1 0 1 1 1 1 1 3 4 5 6 7 7 5 4 4 5 6 5 6 6 6 5 4 3 3 3 3 4 5 5 6 7 7 6 4 3 3 2 2 2 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 6 10 12 8 4 0 -8 -6 -1 -5 -3 1 2 2 3 3 4 5 5 6 8 9 8 7 6 6 6 6 5 5 7 12 13 10 7 4 3 6 10 3 2 11 15 6 2 1 8 19 18 8 4 3 3 2 3 5 7 10 13 12 7 4 4 5 6 6 6 6 7 7 6 6 9 10 5 -0 4 7 2 5 5 1 -2 -1 3 9 14 15 13 14 16 10 2 -3 -2 7 17 17 10 10 11 6 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 6 7 7 6 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 4 3 4 4 5 4 5 5 5 4 5 5 5 4 4 4 4 4 3 3 3 4 5 6 6 6 5 5 5 5 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 2 2 3 4 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 4 5 5 6 7 9 9 9 8 6 5 4 3 2 1 1 1 2 2 1 1 0 2 3 4 4 4 4 4 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 6 6 5 5 4 4 4 4 4 4 3 4 4 6 8 9 10 10 9 9 8 7 6 5 4 3 3 4 5 6 7 7 8 8 8 8 7 7 7 6 6 7 7 8 9 9 6 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 3 2 2 2 3 3 4 4 2 2 1 1 0 0 0 1 1 2 4 5 6 7 7 6 5 5 5 5 5 5 5 5 4 3 2 1 1 2 3 4 5 6 7 7 7 6 4 4 3 3 3 3 3 3 3 3 3 2 1 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 7 7 7 6 7 6 6 9 15 17 9 1 1 -3 -6 -2 -0 1 1 2 2 3 3 4 5 5 6 8 9 10 8 6 5 5 5 6 6 8 11 10 8 7 4 -0 3 11 7 1 8 14 7 3 1 3 15 21 7 0 0 1 3 5 3 1 3 8 10 8 4 4 5 6 6 6 6 7 7 5 7 12 10 2 -1 7 9 4 6 4 2 2 -2 -0 6 11 10 8 15 21 13 2 -2 1 12 18 14 9 11 13 7 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 5 5 6 6 6 5 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 3 2 2 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 3 4 4 3 2 2 2 2 3 3 4 4 5 6 7 8 8 7 6 5 4 3 2 1 1 2 2 3 3 -0 -4 -4 -2 1 2 3 3 3 4 4 4 5 5 6 6 6 7 6 6 6 6 6 6 6 7 6 5 5 5 6 7 8 8 7 7 6 5 5 5 4 4 4 4 3 3 4 5 7 8 9 9 9 9 9 8 7 7 5 4 3 3 4 4 5 6 7 7 8 8 8 8 8 8 8 7 6 7 8 7 5 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 3 3 2 2 2 3 4 5 5 4 3 2 1 0 -0 -0 1 2 2 4 5 7 7 7 6 5 4 4 5 5 5 5 4 3 2 2 1 1 1 2 3 4 5 5 6 6 6 6 6 5 4 3 3 3 3 3 3 2 2 2 3 2 2 2 2 3 3 3 3 3 2 2 2 2 2 1 1 1 1 2 2 3 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 5 5 6 7 7 6 7 7 8 8 9 14 20 20 11 9 12 4 -3 -0 2 1 1 1 2 3 3 3 4 5 6 8 10 11 11 8 6 5 5 5 6 7 6 5 5 7 8 2 -3 2 8 5 5 8 5 2 1 1 13 23 10 -3 -5 1 9 10 5 -0 -1 1 4 5 4 5 6 7 7 7 7 7 6 6 9 11 7 4 8 15 12 8 5 2 4 3 -1 -0 5 6 5 10 22 24 13 2 -2 4 16 17 10 8 12 14 8 4 4 4 3 3 4 3 3 4 3 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 3 4 5 5 4 4 4 3 3 3 3 4 5 4 4 5 5 4 4 5 5 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 3 3 2 3 3 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 4 3 4 4 5 5 5 6 6 6 6 7 6 6 5 3 3 4 4 3 2 1 1 2 3 3 3 3 4 4 5 6 6 6 5 5 4 3 3 3 2 3 4 5 6 4 -3 -9 -8 -4 -3 0 2 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 6 6 7 6 6 5 5 6 7 8 8 8 8 7 7 7 6 5 5 5 4 4 4 4 4 5 6 8 8 8 8 9 9 9 9 8 6 4 3 3 3 4 5 5 6 7 8 9 9 9 8 8 8 6 7 7 6 4 2 2 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 4 5 5 5 5 3 2 1 0 -0 0 1 2 4 6 7 7 7 5 4 4 4 4 4 4 4 3 3 3 2 1 1 1 1 2 3 3 4 4 5 7 8 8 7 5 4 3 3 3 2 2 3 3 4 3 3 3 3 3 4 4 4 3 3 3 3 2 2 1 1 1 1 2 2 2 2 2 3 3 3 4 4 4 5 5 4 4 4 5 5 5 6 6 6 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 10 12 16 22 23 21 15 16 14 4 -1 0 2 2 1 1 2 3 3 3 4 4 6 7 9 12 12 10 7 4 4 5 6 5 3 3 3 5 9 9 -0 -5 -2 1 4 5 5 3 3 4 15 22 14 1 -3 3 10 10 7 4 2 1 2 3 4 7 9 8 7 6 7 7 6 8 11 8 4 8 17 18 12 8 3 2 6 6 8 12 13 8 9 20 29 22 10 2 1 9 17 14 7 7 12 13 8 4 5 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 6 5 5 5 5 4 5 5 4 4 4 4 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 4 4 5 6 6 7 7 6 4 3 3 3 4 4 5 5 4 4 4 4 3 4 4 3 3 3 4 4 3 4 3 2 1 1 3 4 4 4 3 4 4 3 3 3 4 5 5 5 5 5 5 6 8 8 7 4 2 1 3 5 5 3 1 1 2 3 3 3 3 3 4 4 5 5 4 4 4 4 4 3 4 4 5 5 7 9 11 5 -4 -7 -6 -5 -2 3 2 2 3 4 4 4 4 4 4 4 5 5 5 4 4 5 6 6 7 7 5 4 5 7 7 8 8 8 8 8 8 8 7 6 5 4 4 4 4 4 4 5 6 6 8 8 8 9 9 10 10 8 6 5 3 3 3 3 3 4 4 6 8 9 9 9 8 8 8 7 7 6 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 3 3 3 3 2 2 2 2 3 4 5 6 6 4 3 1 0 0 0 1 3 5 6 7 7 6 5 4 4 4 4 4 3 3 3 3 3 2 1 1 1 1 2 1 2 2 3 5 7 9 10 9 7 6 4 3 1 1 3 4 4 4 4 3 3 4 4 4 4 4 5 5 4 4 3 2 2 1 1 1 2 2 2 2 2 2 2 3 3 4 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 8 9 10 12 15 17 22 26 22 19 20 6 -2 1 1 1 2 2 2 2 2 3 3 3 4 5 6 7 9 12 13 11 7 4 4 6 6 5 4 4 4 3 3 6 8 8 3 -1 1 5 7 6 7 11 17 17 12 6 3 5 8 6 5 7 6 4 4 4 3 8 12 10 6 5 7 6 6 10 13 9 4 7 14 13 9 7 3 4 6 6 13 23 23 18 24 32 29 17 6 1 5 14 15 9 5 8 12 14 10 5 5 4 4 4 4 4 4 4 4 4 4 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 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 3 2 2 2 2 3 3 3 3 4 6 7 7 8 9 9 6 4 3 3 4 4 5 5 4 4 4 4 4 3 4 4 3 3 4 4 4 3 3 1 -0 -0 2 4 5 5 4 4 4 3 3 3 4 4 4 4 4 3 4 5 7 8 7 4 1 1 3 5 7 5 2 1 2 2 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 8 10 11 13 12 6 2 1 0 0 2 3 3 3 4 4 4 4 4 3 3 4 5 4 4 2 4 6 6 7 7 7 4 3 5 7 7 7 8 8 8 9 9 8 8 6 5 5 5 4 4 4 4 4 5 6 7 8 8 9 10 10 10 9 7 5 3 3 2 2 2 3 5 6 8 9 9 9 9 9 8 8 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 3 4 3 2 1 1 2 4 5 7 7 6 4 2 1 1 0 1 3 5 6 7 7 7 5 4 4 4 4 3 2 2 2 2 2 2 1 1 2 1 1 1 1 2 3 5 7 10 13 13 11 8 4 2 2 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 5 3 2 1 1 1 2 2 2 1 1 2 2 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 9 11 13 15 18 20 19 20 23 21 15 20 23 2 -9 0 2 2 3 3 3 3 2 2 3 4 4 5 6 7 9 11 13 11 6 3 6 7 6 7 5 6 9 6 4 4 4 5 8 7 6 7 8 10 14 16 12 6 6 8 6 6 5 3 4 8 8 7 8 6 2 5 11 11 7 5 6 6 6 9 12 9 5 5 7 7 7 7 5 5 2 1 7 16 22 27 34 33 22 11 5 4 9 14 10 5 5 9 13 14 9 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 1 1 2 3 4 4 3 3 5 7 8 8 8 8 8 7 5 4 3 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 2 0 -1 0 3 4 5 5 5 5 3 3 2 3 4 4 4 3 3 3 4 5 7 7 5 2 1 2 5 7 7 4 2 2 2 3 2 2 3 4 4 4 5 5 4 4 4 4 4 4 4 5 11 17 17 12 9 10 10 7 4 3 4 3 3 3 3 4 4 4 3 3 3 3 4 5 6 1 1 4 5 6 7 9 6 3 4 5 6 6 7 7 7 8 8 8 8 8 7 6 6 5 4 4 4 4 4 5 6 7 8 9 9 9 12 12 11 9 6 4 3 2 2 2 3 5 6 7 8 9 9 8 8 9 9 8 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 4 5 6 6 6 4 3 2 1 1 2 3 5 7 8 7 4 2 1 0 0 1 3 4 5 7 7 6 5 4 4 4 4 3 2 2 2 2 2 2 1 1 2 2 2 2 2 2 3 5 7 12 15 15 11 7 4 3 4 3 2 2 2 2 3 3 3 4 4 5 5 6 7 7 8 7 6 4 2 1 0 1 2 2 1 1 2 2 2 2 3 3 4 4 5 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 9 13 15 19 23 25 24 19 19 18 10 11 21 21 7 -1 0 2 2 3 3 4 3 3 3 4 4 5 6 6 7 9 11 11 9 4 3 6 7 7 9 6 5 10 8 8 11 8 1 0 5 8 9 10 13 19 17 5 -1 1 4 6 6 4 3 6 10 8 8 9 7 3 1 6 8 7 6 7 7 6 7 8 7 6 5 5 6 7 8 6 2 -5 -7 -1 6 14 25 30 24 14 7 5 7 10 10 6 4 6 10 12 13 7 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 2 2 2 3 4 4 3 3 3 6 7 8 7 7 6 6 7 6 5 4 4 5 5 5 4 4 4 4 3 4 4 3 3 3 3 3 4 4 4 4 2 0 0 2 3 4 5 5 4 4 3 3 3 3 4 3 3 3 2 3 4 5 6 5 2 2 3 4 6 8 6 4 2 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 15 29 27 11 0 4 9 10 5 5 5 4 3 2 3 4 4 3 2 2 2 3 3 4 6 4 -0 3 5 5 6 7 7 4 4 5 5 5 5 5 6 6 6 8 8 8 8 7 6 6 5 4 4 4 3 4 4 6 7 9 9 9 11 13 13 12 9 7 5 3 3 2 3 4 5 6 7 8 9 9 9 9 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 8 8 7 6 4 3 3 3 3 4 5 8 9 6 3 2 1 1 1 1 2 3 5 6 7 6 6 5 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 5 8 12 13 11 8 6 4 4 3 2 2 3 3 3 3 3 4 4 4 5 5 6 7 8 9 8 7 4 1 -0 -0 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 3 6 14 18 18 20 23 22 19 16 18 14 5 10 18 13 5 2 1 2 2 3 3 4 4 4 4 4 5 6 7 7 7 9 11 10 7 3 4 4 1 3 8 6 3 8 8 6 9 13 7 2 2 6 8 9 15 22 17 4 -2 -1 1 3 4 4 4 7 10 8 6 8 8 5 3 4 6 7 7 8 8 6 5 5 6 7 6 6 7 8 8 6 -0 -9 -10 -5 2 9 19 21 15 9 5 4 4 5 5 3 3 7 11 14 14 7 4 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 6 6 6 5 6 6 5 5 5 4 4 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 2 2 3 4 4 3 3 3 5 7 7 7 6 6 5 5 6 6 6 5 5 5 5 5 5 4 5 4 3 4 4 4 4 4 3 3 4 4 5 5 3 2 1 1 2 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 3 4 5 4 3 2 3 4 6 7 7 5 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 7 19 38 35 10 -6 -5 2 8 8 7 7 6 5 3 3 3 3 3 2 2 3 3 2 3 4 5 2 3 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 8 8 8 8 7 6 6 5 4 4 4 3 5 6 8 9 9 10 12 14 14 13 10 7 5 4 3 3 4 5 6 6 7 8 9 9 9 9 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 7 8 8 8 6 6 5 6 6 5 5 7 9 8 5 3 2 1 0 0 1 2 3 5 6 7 7 6 6 6 7 6 4 3 2 3 2 2 3 2 3 3 3 3 3 4 4 4 6 8 9 8 7 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 7 8 9 9 7 3 1 -0 -0 1 2 3 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 4 4 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 8 14 16 16 16 16 14 13 13 15 8 3 8 10 5 2 2 2 3 2 3 4 4 4 5 5 5 6 7 7 7 9 10 13 15 11 7 4 2 -1 -1 4 6 5 4 4 2 2 4 6 8 6 6 6 7 16 24 17 6 2 1 2 3 4 5 6 7 9 8 6 5 8 7 5 5 7 7 9 10 9 6 4 3 5 4 5 7 7 8 7 6 2 -4 -6 -1 5 11 17 16 9 3 1 1 0 1 3 4 5 8 12 14 12 6 4 6 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 3 2 2 2 3 4 4 3 3 3 4 7 7 7 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 2 2 2 3 3 4 4 3 3 3 3 3 3 2 1 1 2 2 4 4 3 3 2 2 3 5 7 7 5 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 4 4 7 18 35 34 10 -4 -3 -1 1 5 8 8 8 7 5 3 2 2 3 2 2 3 3 3 2 3 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 8 8 9 8 7 7 7 6 5 5 4 4 4 5 7 8 10 10 11 13 14 14 12 9 7 6 5 4 4 6 6 6 6 7 8 9 9 9 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 6 7 7 7 7 8 8 8 6 7 9 9 7 4 2 2 2 0 -0 0 2 3 4 5 6 6 6 6 7 6 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 6 6 6 5 4 4 3 3 3 3 3 3 4 5 5 5 6 7 8 10 10 8 3 0 -1 0 1 3 3 2 2 2 3 3 3 3 3 4 5 4 3 3 2 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 4 4 4 4 4 4 6 11 15 14 12 11 10 10 11 12 6 -3 -4 2 3 2 2 2 3 3 3 3 4 5 5 5 5 6 7 8 8 8 10 13 15 17 15 9 4 2 1 2 4 6 6 4 3 3 1 1 3 4 7 6 5 6 17 22 15 9 6 5 7 10 9 7 7 8 8 8 6 4 6 7 7 7 8 7 9 10 9 7 8 9 5 3 8 10 7 7 7 6 6 8 9 9 11 17 18 12 3 -4 -1 1 -1 1 6 6 7 10 12 11 9 6 5 6 5 5 5 5 4 4 4 4 4 4 4 3 2 2 3 3 5 6 7 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 2 2 3 4 4 3 3 4 7 8 7 6 5 5 6 6 6 5 4 4 4 4 5 4 5 5 4 3 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 5 6 6 5 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 13 26 27 11 2 2 2 1 4 6 8 9 9 7 5 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 3 4 4 6 7 8 8 8 8 7 7 6 6 6 5 5 5 5 5 7 9 10 11 12 13 13 12 10 9 8 7 6 6 6 6 6 5 6 7 8 10 10 9 8 7 6 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 4 5 6 7 8 9 9 8 7 9 10 8 6 4 3 2 1 1 0 0 1 2 3 4 5 5 5 6 6 6 5 5 4 4 3 2 3 3 4 4 4 4 4 4 5 6 5 4 4 4 5 6 8 9 7 5 4 2 2 2 3 3 3 4 4 5 5 5 4 5 7 9 11 11 8 4 1 -0 1 2 2 2 2 2 2 3 3 4 4 4 4 4 3 3 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 6 11 16 17 13 10 9 9 9 11 13 -1 -14 -12 -1 2 3 3 3 3 3 3 4 4 5 6 6 6 6 7 8 9 9 11 14 14 13 10 6 4 4 4 6 8 10 10 6 4 5 5 4 4 4 9 9 5 7 11 14 11 9 7 4 8 16 16 9 6 6 7 7 5 5 6 7 8 8 8 5 8 11 7 6 15 17 7 6 13 12 7 6 6 4 6 12 16 14 16 21 17 8 -0 -5 1 5 4 8 10 8 9 11 10 9 10 8 5 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 2 1 1 3 4 4 3 3 4 6 9 9 7 5 5 5 6 6 5 5 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 2 2 2 3 3 3 4 4 3 2 2 3 4 6 5 4 3 3 3 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 6 10 17 20 14 7 4 4 5 5 5 6 9 10 9 7 5 2 2 2 3 3 3 4 4 4 5 6 6 6 5 4 4 4 3 2 2 2 3 2 2 3 3 4 4 4 6 7 8 8 7 7 7 7 7 6 6 6 5 5 5 6 7 9 10 11 11 12 11 10 10 10 8 7 7 7 7 6 5 5 5 7 9 10 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 3 3 4 5 6 6 7 8 8 8 8 9 10 8 6 5 3 3 2 2 1 0 1 2 3 4 4 4 4 5 5 6 6 6 5 4 2 3 4 4 4 4 4 4 4 5 6 5 5 5 5 5 7 9 9 7 4 2 1 2 2 2 2 3 3 4 4 5 5 5 5 6 7 8 11 12 9 5 2 1 1 2 2 2 2 2 2 3 3 4 4 4 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 3 2 3 4 4 4 4 4 4 5 8 12 14 13 10 8 8 9 10 12 14 4 -13 -12 0 3 3 4 3 3 4 4 4 5 5 5 6 7 6 7 8 9 9 9 10 12 10 6 4 4 4 4 5 8 14 18 11 2 1 6 7 7 10 10 8 5 5 2 2 5 9 7 1 0 7 12 11 7 5 5 5 6 7 6 7 9 9 7 4 7 9 4 3 12 13 7 7 11 8 7 7 5 0 -3 3 11 14 20 22 14 5 -1 -0 6 10 11 13 12 10 10 11 10 10 11 9 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 6 6 6 5 5 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 3 2 1 2 4 4 4 3 3 5 8 10 9 7 6 5 5 5 5 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 5 4 4 3 3 3 3 2 2 3 2 2 2 3 4 4 4 3 3 3 4 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 6 6 9 12 16 16 9 3 5 7 7 6 6 8 10 11 9 6 4 3 2 3 4 5 4 4 5 7 8 9 8 6 4 4 3 3 3 3 2 3 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 6 6 5 4 5 6 8 9 9 11 11 10 10 12 12 10 8 7 6 6 7 6 5 5 6 7 9 10 10 10 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 3 3 4 4 5 6 7 5 5 6 7 7 8 8 9 10 9 8 6 4 4 3 2 1 1 1 2 3 3 3 3 4 4 5 6 6 6 5 4 4 4 5 5 4 4 4 5 5 5 5 6 5 5 5 6 7 7 6 3 2 1 1 2 2 2 3 3 4 4 4 5 5 5 6 6 7 8 12 14 12 7 3 2 1 2 2 2 2 2 2 3 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 6 8 9 9 8 8 8 9 10 12 16 14 -3 -4 1 4 4 4 3 3 3 4 5 5 5 6 6 6 5 7 8 9 8 7 8 11 9 8 6 4 4 5 3 3 9 17 15 4 0 3 6 7 9 7 2 2 4 0 -3 5 11 7 1 -2 1 6 8 7 6 4 5 7 7 6 6 8 9 6 4 6 8 4 3 5 6 7 7 5 4 6 7 3 -4 -7 -3 8 17 22 20 11 3 -0 5 12 13 13 12 11 10 10 10 10 9 10 8 5 5 6 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 6 6 7 6 5 6 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 3 2 1 2 4 5 4 3 3 4 7 9 9 8 7 7 6 5 4 4 4 4 3 2 2 3 3 3 3 3 4 4 5 5 4 5 5 5 5 6 6 6 6 7 7 6 6 5 5 4 4 5 5 4 4 4 4 3 3 3 3 3 2 3 3 3 4 5 4 4 4 4 5 5 5 5 3 2 2 2 2 2 3 2 3 4 3 4 4 5 5 5 5 5 6 6 7 10 13 15 9 1 3 8 8 7 6 7 9 10 9 7 5 4 4 5 5 5 4 5 6 9 11 12 10 7 5 4 3 3 3 3 4 4 5 5 6 5 5 5 5 4 5 6 7 7 6 6 6 7 7 7 6 6 6 5 5 5 6 7 9 10 11 11 11 13 13 12 9 7 6 6 6 6 5 5 6 6 7 9 10 11 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 5 6 7 7 6 6 6 6 6 6 6 7 9 10 10 9 7 6 5 4 3 2 2 3 2 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 3 2 2 2 3 3 3 3 4 4 4 4 4 5 5 6 7 7 6 9 14 16 14 9 4 2 2 2 2 2 2 2 3 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 6 8 8 8 8 10 9 12 18 15 4 1 2 3 4 4 4 3 3 4 4 6 6 5 5 5 6 8 10 12 11 9 9 11 10 10 9 5 5 7 4 0 3 9 11 6 1 1 2 3 4 2 0 1 5 4 1 13 17 8 3 2 3 4 3 6 7 6 6 6 5 6 5 4 5 6 7 8 9 8 8 8 7 7 6 4 5 7 6 0 -6 -7 -1 9 19 22 17 8 3 4 10 14 14 11 10 8 8 9 10 10 8 8 8 5 5 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 6 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 5 4 3 1 2 4 5 5 4 3 4 5 7 9 8 7 6 6 6 5 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 7 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 6 5 4 -2 -5 -4 -4 -3 -2 1 3 3 3 4 4 4 5 5 5 5 5 6 6 7 8 10 12 8 2 3 7 7 7 7 7 8 8 8 7 6 5 6 6 6 5 4 5 7 10 12 13 11 8 5 4 3 3 3 3 5 5 5 6 6 6 7 6 5 4 4 5 6 6 5 6 6 6 7 7 6 6 6 5 5 5 5 6 7 8 9 11 12 13 14 12 9 7 6 6 6 6 6 5 6 6 6 7 7 8 9 10 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 6 6 7 7 7 7 6 7 6 5 4 4 6 7 9 10 10 10 9 8 8 7 7 6 4 3 3 3 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 7 6 6 7 10 14 17 14 10 6 4 4 3 2 2 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 9 9 8 9 10 9 13 13 6 3 3 3 3 3 3 3 3 3 4 5 5 5 5 7 8 11 14 16 18 16 11 7 8 9 8 7 3 2 5 7 6 4 4 4 4 4 4 4 0 -1 1 1 -0 5 9 8 17 18 7 2 3 3 1 4 7 7 6 5 4 3 4 3 2 5 8 12 12 11 11 6 4 6 10 10 11 16 14 5 -2 -4 -4 1 11 20 20 14 8 4 7 11 14 13 9 7 6 7 9 10 9 8 10 11 6 4 6 6 5 5 4 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 2 2 2 3 5 5 4 4 4 4 5 6 8 7 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 6 4 -4 -19 -19 -9 -9 -7 -4 -4 -0 3 4 4 4 4 5 5 5 5 5 5 6 6 6 7 9 8 5 4 5 6 7 7 8 7 7 7 7 7 7 7 7 6 4 4 5 7 10 13 13 11 8 5 3 3 3 3 3 4 5 5 5 5 6 7 6 6 5 4 4 5 5 5 5 5 5 6 6 7 6 6 6 5 4 5 5 6 7 8 10 11 12 12 11 10 8 6 7 7 6 5 5 5 5 6 6 6 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 8 7 6 3 3 4 5 7 9 10 10 10 11 12 14 15 9 3 2 3 4 4 4 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 4 4 3 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 6 6 5 6 9 14 16 14 11 8 6 6 5 5 5 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 5 6 6 6 5 6 9 9 9 9 10 10 12 13 6 1 2 3 3 2 2 2 2 3 4 4 5 4 5 8 13 15 17 19 21 19 15 9 5 5 7 7 5 4 3 8 11 11 6 2 2 4 5 5 5 4 4 6 2 -3 3 10 7 6 9 6 4 3 -0 2 8 8 6 6 5 3 2 3 3 4 8 12 14 12 10 7 -5 -10 1 15 17 18 27 31 20 8 4 4 7 14 19 17 12 7 4 8 12 13 12 9 5 4 6 9 9 8 10 11 8 3 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 3 2 2 4 5 6 5 4 4 4 4 4 6 7 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 0 -15 -36 -31 -12 -4 -2 -2 -2 0 3 3 4 4 4 4 5 5 5 5 6 6 6 5 5 6 6 5 5 5 5 6 8 9 9 7 7 7 8 9 9 7 5 3 4 5 7 9 11 11 10 7 5 4 3 3 3 3 4 4 4 4 4 5 6 6 6 6 5 4 4 5 5 5 6 5 5 6 6 7 6 6 6 5 5 5 5 6 7 8 9 9 10 10 10 9 8 8 8 7 6 5 5 5 5 6 7 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 7 7 7 7 7 7 7 8 8 6 4 2 3 4 6 7 8 9 10 10 13 19 20 11 1 -1 1 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 5 4 4 4 3 3 3 4 4 4 5 4 4 4 5 5 6 6 5 4 5 8 11 13 13 11 10 10 9 8 6 4 4 3 3 3 3 3 3 2 2 2 2 3 3 4 3 4 4 4 4 3 3 3 4 4 5 5 6 6 6 9 10 10 10 10 11 11 17 16 4 2 3 2 2 2 2 2 2 3 4 4 4 4 8 15 19 18 18 21 20 14 9 6 5 5 5 6 8 8 4 6 14 16 9 1 1 3 5 6 6 6 7 7 3 0 3 7 2 -6 -1 5 3 -1 -2 4 11 9 6 5 4 3 4 5 6 7 9 9 6 4 4 2 -4 -5 4 14 17 17 25 40 41 25 13 10 12 16 18 13 10 6 6 11 15 14 11 7 3 4 7 9 8 8 10 9 4 1 3 4 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 3 2 3 4 6 6 6 5 4 4 5 4 4 5 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 4 4 5 4 3 3 3 4 4 4 5 5 5 5 5 5 6 5 5 3 -2 -18 -37 -33 -11 2 4 3 2 2 4 4 3 4 4 4 4 5 5 6 6 6 6 4 4 4 4 5 4 4 5 5 7 9 10 10 8 7 9 10 9 7 5 3 4 5 6 8 9 9 8 7 5 4 4 3 4 4 3 3 3 3 3 4 5 6 6 7 6 5 5 5 5 6 7 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 8 8 8 9 8 8 9 8 8 7 7 6 6 6 7 8 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 6 7 7 6 6 6 6 7 7 6 4 3 3 4 5 6 6 6 7 7 11 19 22 12 1 -3 -2 0 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 5 4 4 4 5 5 6 7 6 5 4 4 6 9 10 11 12 13 12 11 7 5 3 3 3 3 3 4 3 2 2 2 3 3 4 4 5 5 5 5 4 4 3 2 3 4 5 5 6 6 7 9 9 10 11 12 14 15 21 16 4 2 2 2 2 2 2 2 3 4 4 4 4 8 14 18 17 15 18 20 14 7 5 6 7 7 6 6 8 8 3 0 9 17 14 3 -0 2 4 6 6 3 1 3 4 3 5 6 1 -7 -4 5 3 -1 2 6 5 4 4 4 4 5 6 7 7 6 5 -1 -6 -5 -0 3 5 5 9 15 17 16 23 36 38 27 17 14 14 16 15 10 7 7 10 13 15 12 7 4 3 5 7 8 7 8 10 8 4 3 3 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 6 6 5 5 5 5 5 4 4 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 6 6 5 5 5 5 4 5 5 5 5 4 3 4 4 4 5 5 5 5 5 6 5 5 6 5 3 1 -4 -13 -25 -25 -9 3 5 4 2 -0 1 4 4 3 4 4 4 4 5 5 5 6 6 5 4 3 3 3 4 5 5 4 5 8 11 11 8 7 8 9 9 7 4 3 4 4 5 6 7 8 8 8 7 6 6 5 5 4 4 3 4 4 4 4 4 6 7 8 7 6 5 5 5 6 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 7 8 7 6 6 6 6 6 7 7 6 7 7 8 8 8 8 9 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 4 5 5 6 6 5 5 5 5 5 5 5 5 4 4 5 6 5 5 5 5 5 8 16 21 15 5 -1 -1 2 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 5 5 5 4 4 3 4 4 3 4 4 3 3 3 4 4 5 4 4 4 4 5 5 5 6 6 6 5 5 4 4 5 8 9 11 13 13 11 7 5 4 3 3 3 3 4 4 3 2 2 3 4 5 5 5 5 6 6 4 3 3 3 3 4 4 5 6 6 7 8 8 10 12 14 17 19 16 4 1 1 2 2 2 2 2 3 3 4 5 4 7 12 17 16 12 12 17 17 9 5 6 8 9 9 9 9 9 7 1 -2 3 10 13 6 1 2 4 5 6 4 1 1 2 4 6 7 3 -2 -2 4 6 5 9 7 -2 -0 1 3 4 6 7 7 7 7 4 -2 -7 -4 2 8 10 8 8 13 18 20 23 25 22 16 15 18 18 15 11 7 6 8 12 12 10 9 6 3 3 6 7 6 5 8 9 7 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 5 5 6 6 5 5 4 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 4 3 4 5 6 6 4 3 4 6 6 6 5 4 4 4 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 6 6 7 7 7 7 7 6 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 6 5 6 5 4 2 -0 -2 -5 -11 -13 -7 1 3 3 2 -1 -3 1 4 4 4 4 4 4 4 4 5 5 6 5 4 3 2 2 4 5 6 4 3 5 8 9 7 6 6 7 7 6 5 4 4 5 4 5 6 7 8 9 9 9 9 8 7 6 5 5 6 6 6 6 5 6 8 8 8 7 6 6 7 7 7 7 6 7 7 6 6 6 5 6 6 6 5 6 6 7 8 7 6 5 4 4 5 5 6 6 7 9 10 11 10 10 10 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 6 7 7 6 5 5 4 5 6 13 19 16 9 4 3 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 5 5 5 5 6 6 6 6 6 5 5 5 6 7 9 10 11 9 7 5 4 4 3 4 4 4 4 3 3 3 4 4 5 5 6 6 6 6 5 3 3 3 3 4 4 5 6 6 7 8 10 11 12 14 18 18 9 -3 -3 1 2 3 3 2 3 4 4 5 5 6 9 13 13 11 10 11 14 13 10 8 7 7 8 7 7 7 9 7 2 1 5 8 9 8 5 5 7 9 9 8 4 0 1 3 5 8 8 4 1 4 9 8 7 5 2 1 1 2 5 6 6 7 7 9 9 6 3 4 7 11 12 8 3 6 15 19 20 18 14 11 13 17 17 12 7 5 6 10 13 10 7 9 7 5 5 6 7 4 3 9 9 5 5 7 8 7 6 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 6 6 5 5 5 6 6 6 5 4 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 2 2 3 5 6 6 5 4 3 3 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 7 6 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 5 4 1 -4 -4 1 2 3 3 2 -0 2 3 4 5 5 5 4 4 3 4 5 6 5 4 3 2 2 3 5 7 6 3 2 5 7 6 6 6 6 7 7 6 6 6 5 5 6 6 7 9 11 12 12 11 10 9 8 8 8 9 10 10 8 7 7 8 9 8 7 7 8 8 8 7 7 6 7 7 7 7 6 6 5 5 6 5 6 6 7 8 8 7 5 5 4 4 5 6 7 8 10 12 14 13 12 11 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 7 7 7 7 7 6 6 6 6 7 10 14 15 11 8 7 7 7 7 6 5 5 5 4 5 6 5 5 5 5 5 6 6 6 5 4 3 2 3 4 5 6 6 6 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 6 7 6 6 7 7 8 8 7 6 5 5 4 4 5 4 4 4 3 3 4 4 5 6 6 7 7 6 5 4 3 3 3 4 4 5 5 6 9 11 12 10 10 13 16 11 3 -1 -3 2 3 3 3 3 3 4 5 5 5 6 9 10 9 7 7 9 12 13 14 13 9 7 7 5 2 2 6 8 7 6 7 8 8 8 7 7 8 12 10 8 6 2 2 2 4 8 9 8 6 7 9 6 1 1 2 1 1 3 5 7 7 7 9 11 12 10 8 8 9 10 8 5 2 3 9 10 12 13 11 9 11 14 13 6 0 2 7 11 13 10 7 10 8 5 5 6 6 3 4 9 9 4 5 7 10 10 7 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 2 1 1 3 4 6 6 5 4 2 2 3 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 6 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 6 5 5 6 6 5 5 7 8 10 11 9 4 0 3 4 5 4 3 2 3 4 4 5 5 5 5 4 4 4 5 5 5 5 4 2 2 3 4 6 7 6 3 2 5 7 6 6 6 6 7 8 8 7 7 7 7 7 7 9 11 13 13 12 11 10 10 11 12 13 14 13 10 9 8 8 8 8 8 9 9 10 10 8 7 7 6 7 7 7 7 7 6 5 5 5 5 6 6 7 8 7 6 5 4 4 4 5 7 8 11 14 15 15 14 12 13 12 10 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 11 11 11 11 10 10 9 9 7 6 5 5 4 5 6 6 6 6 7 7 7 7 7 8 9 10 11 11 9 8 7 7 7 6 6 6 5 5 6 7 6 5 5 5 5 6 7 8 7 5 3 2 2 4 5 6 6 7 6 5 5 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 6 7 7 7 6 6 6 6 7 7 7 6 5 5 5 5 5 4 4 4 3 3 4 5 6 7 7 7 6 5 5 4 4 3 3 4 5 8 12 16 18 13 8 6 12 12 2 -1 2 1 3 4 4 4 4 4 4 5 5 5 6 8 7 6 5 6 8 10 13 15 15 11 8 8 5 1 2 7 9 6 4 4 6 8 7 7 7 7 11 11 8 8 7 5 4 3 5 8 9 10 11 8 4 1 0 1 1 2 5 8 10 9 9 12 12 12 10 8 8 9 8 4 1 2 3 3 4 7 8 7 8 13 14 7 -1 -2 5 9 11 13 9 8 9 7 5 5 7 6 4 6 9 7 5 5 7 12 14 10 4 4 6 7 8 8 7 6 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 4 2 1 2 4 5 5 6 6 4 2 2 3 5 6 6 5 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 7 8 8 8 8 8 6 4 3 4 4 5 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 4 4 4 5 8 11 9 6 4 5 6 6 5 5 1 -0 3 4 5 5 6 7 7 6 5 4 5 5 5 5 3 3 3 4 7 8 7 5 3 4 7 8 8 7 6 6 7 7 7 7 8 7 7 7 8 10 11 11 10 10 10 11 12 14 16 16 14 12 10 8 7 7 7 8 9 10 11 11 10 9 7 6 6 7 8 8 8 8 7 6 6 5 5 6 7 8 7 7 5 4 4 4 4 6 7 10 12 14 15 15 14 14 13 12 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 16 16 16 16 15 16 15 14 13 11 9 7 6 5 5 5 5 5 6 7 8 8 8 9 9 9 10 9 9 7 6 6 7 7 7 7 7 8 9 10 10 9 7 6 6 5 6 8 9 9 7 4 2 2 3 5 6 7 7 7 7 5 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 5 6 5 6 6 6 5 5 5 5 5 6 5 5 4 4 4 4 5 6 7 6 6 5 5 5 4 4 3 3 5 9 15 21 25 21 12 5 5 12 7 -3 -2 3 4 4 5 5 4 4 5 5 6 6 6 6 6 5 4 4 6 8 8 8 10 11 10 9 9 8 3 3 8 10 7 3 2 4 6 7 7 7 6 7 10 11 11 9 6 6 4 2 5 10 14 13 8 3 2 2 2 2 3 6 9 12 10 13 17 14 10 8 6 7 8 8 2 1 4 2 -2 5 10 10 8 10 13 9 2 -1 5 12 11 10 11 9 8 8 6 4 5 7 6 5 7 8 5 4 6 10 15 16 9 3 3 6 8 8 8 8 7 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 5 5 6 7 8 7 6 7 6 4 3 3 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 8 5 3 3 4 4 5 6 6 6 7 7 7 7 7 7 7 5 5 4 4 4 3 1 -1 0 4 9 7 5 6 7 7 6 5 5 3 2 3 4 5 5 5 6 9 10 8 6 5 5 5 5 4 4 3 4 7 8 7 3 1 3 6 8 9 7 6 6 5 5 6 6 7 6 7 7 7 8 8 7 7 8 9 10 12 13 14 15 14 12 9 7 6 6 7 8 8 10 11 11 11 11 9 8 6 6 7 7 8 8 9 9 8 6 5 6 6 7 8 8 6 5 5 5 5 6 6 7 9 11 12 13 13 14 14 13 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 15 16 16 16 17 17 17 17 17 15 13 11 8 6 5 5 6 7 8 9 8 8 8 9 10 10 11 9 8 6 6 6 7 7 7 8 10 11 12 13 13 11 11 9 7 6 6 8 10 10 6 3 3 4 5 7 8 9 9 7 5 4 3 3 3 3 4 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 5 5 5 5 5 6 6 5 4 4 4 5 6 6 5 4 5 5 5 4 4 3 3 5 9 16 21 23 24 20 13 10 12 11 2 -5 -1 3 4 5 5 5 4 4 5 5 6 6 6 6 5 5 6 6 7 9 9 6 6 7 7 7 10 11 6 3 4 7 8 5 5 5 5 6 7 7 6 6 8 9 7 7 10 10 6 2 3 10 13 11 6 3 3 3 3 3 3 5 8 11 9 14 19 14 9 6 5 6 8 8 4 4 7 5 2 7 15 16 12 10 11 9 7 11 17 16 12 10 8 8 9 7 5 5 6 7 6 6 7 7 5 5 8 12 18 15 5 2 4 6 7 8 8 8 7 6 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 8 11 12 11 9 8 7 6 4 4 5 6 6 6 7 6 6 7 8 7 6 6 6 6 6 6 6 5 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 7 5 4 4 5 5 6 7 7 8 7 8 8 8 7 6 6 5 5 4 3 3 3 1 -0 1 5 7 7 6 7 8 8 6 5 5 3 3 4 4 5 5 5 5 8 11 12 9 5 4 3 3 4 4 4 5 6 8 8 5 -0 0 4 6 8 8 7 6 4 4 4 5 6 6 6 6 6 6 6 5 5 5 6 7 9 11 12 12 12 10 8 6 5 5 6 7 7 8 10 11 12 12 11 10 9 7 6 6 6 7 9 10 10 9 7 5 5 6 7 8 7 5 5 6 7 7 6 5 6 7 8 8 10 12 13 14 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 10 11 11 12 13 14 15 17 20 20 19 16 13 11 8 7 8 9 10 10 9 8 7 8 9 10 11 11 11 9 7 7 6 6 6 7 8 9 10 13 14 15 17 15 11 6 3 4 7 10 9 6 5 5 7 8 10 11 9 8 6 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 5 4 5 6 6 5 3 3 4 4 4 3 2 3 6 10 15 18 19 17 15 16 19 20 19 8 -2 -3 2 4 4 4 5 5 4 4 5 5 6 6 5 6 7 9 11 9 8 10 11 8 6 5 5 5 8 11 9 4 4 6 8 7 6 5 5 6 6 6 7 8 8 4 -0 2 11 15 10 4 3 9 10 7 4 2 2 4 4 4 4 5 7 8 8 11 13 11 8 5 4 6 8 7 8 12 11 9 7 7 10 13 12 11 13 15 18 24 23 16 10 8 6 8 10 7 6 5 6 6 6 7 7 6 5 6 10 15 18 11 3 2 5 6 6 8 9 8 7 6 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 9 11 12 11 9 8 7 5 4 4 5 6 6 6 7 6 7 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 7 5 4 4 5 6 7 8 9 9 8 8 8 7 7 6 5 5 5 4 4 5 7 7 6 7 9 6 5 6 9 10 9 7 5 4 1 -1 2 5 5 5 5 4 5 10 16 13 6 3 1 0 1 3 4 5 6 8 8 8 4 1 3 5 7 8 6 5 4 4 4 4 5 6 6 6 5 4 4 4 4 4 4 4 5 7 8 8 8 7 7 5 4 4 5 5 7 7 8 9 11 12 12 11 11 9 7 6 5 5 7 9 10 10 9 6 5 6 6 6 7 7 6 5 7 8 7 5 3 3 3 5 6 8 10 13 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 6 7 9 10 13 17 19 20 18 17 15 13 11 10 11 12 11 10 7 6 7 8 9 10 12 12 11 10 8 7 6 6 6 6 6 7 9 12 16 21 20 14 7 1 1 4 7 9 10 8 7 8 10 11 10 9 7 5 4 4 3 3 3 3 3 3 4 4 5 5 4 4 4 4 5 5 5 6 6 6 5 5 6 7 6 6 5 5 4 4 5 6 6 6 7 6 6 6 6 7 7 6 4 2 2 3 4 4 4 5 7 11 15 16 17 17 14 11 14 21 21 13 0 -5 -1 4 4 4 4 4 4 5 5 5 5 5 6 7 9 11 14 14 10 8 8 11 10 7 5 5 5 8 9 7 5 5 5 6 8 6 4 4 5 4 4 5 7 8 5 -0 -1 7 15 14 7 3 5 7 4 2 1 2 4 4 4 5 5 7 7 9 9 8 8 7 5 4 6 8 7 11 19 15 7 2 1 4 8 9 10 11 15 22 25 20 12 8 6 6 9 9 7 6 6 6 6 6 7 6 5 5 7 11 18 18 8 2 4 6 6 7 8 9 8 7 6 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 8 8 8 8 6 5 4 3 4 4 5 6 6 6 6 7 7 8 9 9 9 8 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 7 8 7 7 5 5 6 7 8 9 9 10 9 9 8 7 7 6 6 5 5 5 4 4 5 8 9 11 10 7 5 5 6 9 10 9 7 5 4 2 -1 1 5 5 6 5 4 4 7 13 14 9 5 2 0 -1 -1 2 5 7 8 7 7 6 3 3 4 5 6 5 5 4 4 5 5 5 6 6 6 5 4 4 4 4 3 3 3 3 3 4 5 5 5 4 3 3 4 4 5 6 6 6 8 9 9 11 11 11 10 8 7 7 6 6 7 9 10 10 9 7 6 5 5 5 6 6 5 6 8 7 5 2 1 1 2 4 6 8 9 9 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 4 4 4 5 5 8 11 14 16 17 17 17 15 13 11 10 11 11 10 8 7 6 6 7 7 9 10 10 10 9 8 8 7 8 7 6 6 7 9 12 16 17 13 6 2 1 2 5 9 10 10 8 8 9 9 8 6 5 4 4 4 4 4 3 3 3 3 4 4 5 4 4 4 4 4 4 4 5 6 6 6 6 7 8 8 8 7 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 3 1 1 3 7 11 15 18 18 18 15 12 13 18 19 18 19 20 12 3 -4 -5 1 4 4 4 4 4 4 4 4 4 4 5 9 15 18 16 14 12 9 7 7 10 11 8 6 5 6 6 4 2 3 4 3 4 6 4 2 1 2 1 1 2 5 9 9 5 2 4 14 19 12 3 2 3 2 1 1 3 5 5 5 5 5 7 6 8 9 9 6 4 4 4 5 7 8 11 15 15 7 -0 0 4 5 6 9 9 13 18 20 15 10 6 5 7 8 8 7 6 6 6 7 8 7 6 5 5 8 13 18 14 5 2 5 7 6 6 8 8 9 8 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 3 3 4 4 4 5 6 6 6 5 4 3 4 4 5 5 5 5 6 7 8 9 9 9 8 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 10 10 10 9 8 7 6 6 5 5 5 4 4 5 4 2 2 7 11 8 5 6 6 5 7 9 9 7 6 5 5 3 3 5 6 6 5 5 5 5 7 10 11 9 8 5 4 3 2 5 7 8 8 6 4 5 4 4 4 5 5 5 4 4 4 5 5 6 7 6 5 5 5 5 5 4 3 3 3 2 2 3 4 4 4 4 4 4 4 4 5 5 5 6 6 8 9 10 10 10 9 9 8 7 8 8 8 9 9 10 9 7 6 5 5 5 5 5 5 6 7 5 3 2 1 2 3 5 6 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 4 4 4 3 3 3 5 8 11 13 15 14 14 13 11 9 9 10 10 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 9 8 7 8 8 9 10 10 9 6 4 2 2 4 8 10 9 7 6 6 5 4 3 3 3 4 4 4 4 4 3 3 4 4 5 5 4 4 3 4 4 4 4 5 5 6 6 7 7 8 9 8 7 6 6 6 6 6 6 6 5 5 5 6 7 7 7 6 4 2 1 3 9 15 23 31 34 28 17 9 7 11 17 23 23 17 12 6 1 -2 -1 3 4 4 4 3 3 4 4 4 4 4 7 12 18 18 15 12 10 9 9 9 11 13 11 8 5 3 2 0 1 5 6 5 4 3 4 4 2 2 -0 -1 0 4 8 12 11 5 1 13 27 20 5 0 0 -0 -1 1 5 7 6 5 5 6 7 6 5 5 8 7 4 5 4 2 4 9 8 8 14 15 10 8 7 5 8 10 11 14 17 16 12 8 6 7 8 7 6 7 7 6 7 8 8 7 6 6 6 10 15 16 10 3 3 7 8 7 6 7 8 9 7 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 3 2 2 2 3 3 4 5 5 5 4 4 4 4 5 5 5 5 6 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 6 5 6 6 6 7 7 8 8 9 8 8 9 10 10 9 9 9 9 9 10 9 10 10 9 8 7 6 5 4 4 4 4 4 5 8 10 6 2 5 8 6 5 6 6 4 5 9 12 8 6 6 5 5 5 5 6 6 6 6 5 5 5 6 8 9 10 9 9 8 6 6 7 8 8 7 5 5 4 4 4 5 5 5 5 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 3 3 5 5 6 6 5 5 4 4 4 5 5 5 5 6 7 8 8 9 9 9 8 9 9 9 9 9 9 10 10 9 8 7 6 5 5 5 5 6 5 5 5 4 3 3 3 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 3 3 3 3 3 4 5 8 10 11 11 11 11 10 9 10 10 11 11 10 10 9 9 10 9 9 9 9 9 10 10 11 11 10 9 9 8 8 8 8 7 6 5 3 2 3 7 9 7 5 3 3 3 2 2 3 3 3 4 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 7 8 8 7 6 6 6 6 6 5 5 5 4 4 4 6 6 6 5 4 3 4 7 12 17 21 26 31 31 21 8 5 7 11 14 14 13 6 4 3 3 2 3 4 4 4 4 4 3 4 4 4 6 10 13 15 14 11 10 9 8 9 11 11 11 14 13 9 4 3 2 2 4 8 6 4 3 3 5 6 6 6 3 -1 0 3 6 12 13 3 -3 10 28 24 9 3 -0 -2 -2 1 4 6 5 4 5 6 6 6 4 4 3 6 9 10 7 1 -1 5 6 7 12 16 16 11 7 6 11 14 15 16 17 15 10 7 8 9 8 6 6 7 8 7 6 7 8 7 7 6 9 12 15 13 6 3 5 8 8 7 7 7 9 9 7 6 5 5 5 5 4 5 5 5 6 6 5 6 5 6 6 6 5 5 5 4 3 3 3 4 5 5 5 5 4 3 3 3 4 4 4 4 3 2 2 1 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 6 5 5 5 5 6 7 7 7 7 6 5 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 10 9 10 9 8 7 6 5 4 4 3 3 3 3 3 6 12 15 14 10 8 5 5 6 7 6 5 5 9 11 9 6 6 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 6 6 5 5 6 7 8 8 6 4 3 3 3 4 4 4 5 6 6 7 7 8 8 8 9 8 9 9 9 10 10 10 9 9 9 8 7 6 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 10 14 13 11 9 9 9 8 6 7 9 11 12 14 15 15 13 11 15 22 22 19 12 4 -3 -6 -1 4 8 11 13 14 16 16 16 14 13 12 12 13 14 14 15 14 13 12 11 11 10 10 11 12 12 12 12 12 12 12 11 11 10 10 12 12 11 11 11 10 11 12 13 15 16 15 13 11 10 9 10 11 12 14 13 12 12 12 12 12 12 12 13 13 13 12 11 11 10 11 11 11 10 10 11 11 11 12 12 13 12 12 12 13 14 14 14 14 14 13 12 13 13 12 12 12 12 12 11 10 10 11 13 14 14 13 13 13 12 12 12 12 12 14 15 15 11 9 7 11 15 16 15 13 12 13 14 13 14 13 13 13 12 13 12 12 13 13 13 13 13 13 12 13 12 12 13 12 12 11 11 11 12 14 14 13 12 12 14 15 16 17 16 15 14 13 13 13 13 12 13 12 12 14 15 15 13 12 11 12 18 19 15 15 15 14 14 14 14 13 14 14 13 13 14 16 16 16 15 14 14 14 15 15 16 16 14 14 16 16 16 13 9 7 9 13 13 12 12 12 13 16 18 20 18 15 14 13 13 13 14 14 13 13 12 12 12 13 13 14 15 15 14 14 14 13 13 13 12 12 12 11 10 11 12 12 12 11 11 12 12 12 12 11 12 12 11 11 10 11 11 11 10 10 10 9 9 9 7 5 7 8 8 8 8 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 11 12 11 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 13 14 15 14 13 14 14 15 15 13 12 10 9 10 11 12 12 13 13 13 14 14 14 14 15 15 13 11 12 13 14 15 16 12 10 10 11 11 11 12 11 11 12 17 24 29 26 20 17 16 15 13 13 13 12 12 12 13 13 12 13 14 15 16 15 14 14 14 15 15 14 14 13 12 13 13 14 15 15 14 14 15 16 19 20 20 18 14 10 11 13 13 13 12 13 13 14 14 13 13 12 12 12 12 12 13 14 15 14 14 12 11 11 11 11 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 8 10 11 11 13 14 14 14 14 13 19 23 23 15 6 -1 -3 -1 3 6 8 11 13 14 15 15 15 15 12 12 12 13 14 15 15 15 14 12 12 11 11 11 12 13 13 14 13 12 13 13 12 11 11 11 11 10 9 9 9 10 11 12 13 15 16 15 14 12 11 10 9 10 12 13 13 13 12 12 12 12 12 13 13 13 12 11 11 11 10 11 11 12 11 10 10 10 11 12 12 12 12 12 12 13 14 14 14 15 15 13 12 13 12 12 12 11 12 12 11 11 11 11 13 13 13 13 12 11 9 11 15 16 16 14 13 13 13 12 10 11 14 16 15 13 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 10 12 13 14 13 12 11 9 11 18 27 27 20 14 12 12 12 12 12 12 12 13 14 15 14 13 13 11 10 14 16 15 15 15 15 15 15 14 13 14 14 13 13 13 15 16 18 16 14 13 13 14 15 17 16 14 14 15 16 17 18 18 14 11 12 13 13 11 10 8 11 15 20 21 17 14 14 13 13 13 14 14 14 13 13 12 12 12 13 14 14 14 14 13 13 13 13 13 12 11 11 10 10 11 11 11 10 10 10 10 11 11 11 11 12 11 11 10 10 11 12 11 11 11 11 10 11 11 9 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 11 11 11 11 12 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 11 12 12 13 13 13 12 12 13 14 14 12 13 16 16 13 11 8 6 5 8 11 12 13 13 13 13 14 14 14 14 14 14 14 14 13 15 17 18 18 15 12 12 12 11 11 12 13 13 14 17 20 21 21 17 14 13 14 15 14 14 14 13 13 14 14 13 14 14 14 15 16 16 14 13 13 15 15 15 14 13 12 13 16 16 16 16 15 14 14 16 19 21 19 16 11 11 12 13 12 12 13 14 14 14 13 12 13 13 13 12 12 12 13 14 14 14 14 13 12 12 12 12 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 16 18 22 26 21 7 -1 -1 3 7 6 4 7 10 13 14 14 14 14 13 12 14 15 15 15 15 14 14 14 14 14 14 13 13 14 14 14 14 13 12 12 12 12 12 12 12 12 11 10 10 10 10 11 12 13 13 14 15 14 13 12 10 9 10 11 12 13 13 13 13 12 12 13 13 13 12 12 12 11 11 11 11 12 12 11 11 10 10 10 11 12 12 12 12 12 13 15 15 15 15 14 14 13 12 11 11 11 11 11 12 13 13 13 12 12 13 13 12 12 10 8 10 14 17 17 14 13 13 13 13 12 11 13 14 13 12 13 12 13 13 13 13 12 12 12 11 12 13 13 13 13 13 13 12 12 13 12 12 12 12 11 11 11 11 12 12 12 13 12 10 5 2 8 22 34 32 26 18 13 12 12 12 12 12 12 13 14 14 14 14 13 12 12 12 13 14 14 15 14 14 14 14 14 14 14 14 13 13 15 17 17 16 14 13 13 13 16 18 16 15 14 13 12 17 22 17 14 14 15 15 13 11 5 1 5 11 16 17 16 15 14 14 14 14 14 14 13 13 13 13 13 14 14 14 13 13 12 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 12 12 12 11 11 11 11 9 9 9 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 11 12 11 12 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 13 13 12 13 13 13 15 15 12 9 6 4 5 7 11 12 13 13 13 13 13 13 13 13 13 13 13 14 15 15 18 18 15 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 15 16 15 15 13 13 13 14 14 14 14 14 15 16 14 13 13 15 16 16 15 14 12 12 14 15 16 16 16 15 15 15 16 18 20 18 14 11 12 13 13 13 13 14 13 12 12 12 12 13 13 12 12 12 12 14 14 15 15 13 12 11 11 11 12 13 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -3 -1 6 11 7 6 9 12 14 14 12 11 11 13 16 17 17 16 15 14 13 13 13 13 13 15 15 15 15 14 14 12 12 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 15 15 14 13 11 9 9 10 11 12 13 13 13 13 12 12 13 13 13 12 12 12 12 11 12 13 13 13 13 12 11 11 11 11 11 12 12 13 14 14 15 16 15 15 14 13 12 10 10 10 10 11 12 13 13 14 14 12 12 13 13 12 12 11 11 12 13 14 14 13 13 13 14 14 14 13 13 13 13 12 12 13 13 14 13 13 12 12 11 11 11 12 13 13 13 13 12 12 13 12 12 12 13 12 12 11 12 12 11 11 11 12 12 11 8 2 -0 5 17 26 30 29 21 15 13 14 14 13 13 13 13 14 14 15 15 13 13 12 12 13 14 13 13 15 16 17 17 15 15 16 15 14 15 16 17 17 16 14 12 12 14 16 17 17 16 12 8 11 17 16 15 14 14 14 16 16 11 5 4 7 10 13 14 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 12 12 12 12 12 12 13 12 12 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 13 14 14 13 13 11 10 10 9 9 10 9 9 10 9 9 9 9 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 12 13 12 13 13 13 14 14 15 14 13 10 9 9 10 11 12 13 13 13 13 13 13 13 13 14 13 12 12 13 14 15 16 16 14 13 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 14 15 15 16 16 13 12 12 13 14 15 15 14 14 14 14 13 11 14 17 18 17 14 13 12 12 13 14 15 15 15 15 16 17 15 16 20 17 13 12 13 13 12 13 13 13 12 11 12 12 13 13 12 11 11 12 13 14 15 15 15 13 12 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 13 13 14 15 17 19 19 18 16 15 13 12 12 13 13 14 15 15 15 15 14 13 11 11 11 10 10 11 11 11 13 12 13 14 14 14 14 14 15 14 15 16 16 15 13 10 9 8 9 11 12 12 12 13 13 12 13 12 13 13 13 12 12 12 13 13 13 14 14 14 13 12 12 11 11 12 12 13 14 14 14 15 16 15 14 13 13 11 10 10 9 11 12 12 13 13 13 13 12 13 13 12 12 12 12 12 13 13 13 14 13 13 13 13 14 14 14 14 13 12 12 12 12 12 13 13 14 13 12 11 11 11 12 12 13 13 12 12 13 13 13 12 12 12 12 12 12 12 13 12 11 11 11 11 12 14 11 4 -1 0 8 18 31 31 20 15 15 15 15 14 14 14 14 14 15 15 14 14 14 12 12 14 14 13 13 16 21 25 22 17 18 18 17 16 15 15 14 15 15 13 13 12 13 15 16 15 13 11 11 13 13 14 13 13 13 14 16 16 13 10 8 8 9 10 12 14 14 14 13 13 14 15 15 15 15 15 14 14 13 14 14 13 12 12 12 12 13 13 13 12 12 11 11 11 11 12 13 12 12 13 12 13 13 13 13 12 12 11 12 13 13 12 11 10 10 10 10 10 10 9 9 9 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 11 11 12 12 12 12 12 11 11 12 12 12 12 12 13 15 15 15 14 12 12 12 11 11 12 13 13 13 13 14 13 13 14 14 14 13 13 12 13 13 13 15 16 16 15 13 12 12 13 13 12 12 12 12 12 12 12 12 13 14 14 12 13 14 14 15 15 14 12 12 13 13 14 15 16 16 16 16 14 12 13 15 17 17 16 14 12 13 14 14 14 14 14 14 13 15 17 18 18 18 17 14 14 13 13 12 13 14 14 12 11 11 12 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 13 11 10 11 13 14 15 16 16 16 15 14 13 12 11 11 10 10 9 10 10 10 11 11 12 13 14 14 15 14 14 14 16 16 16 15 11 9 8 8 8 10 11 11 12 13 13 12 13 13 13 13 12 12 12 13 14 14 14 15 14 13 13 12 11 11 11 11 12 13 14 14 14 15 15 15 14 13 13 12 11 11 10 11 12 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 13 13 13 13 13 11 11 12 12 13 13 13 13 13 12 12 12 12 12 13 13 12 12 13 13 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 12 15 13 9 2 -2 3 23 34 27 22 17 15 15 15 15 14 14 15 15 16 16 16 15 14 14 15 15 11 7 7 17 29 28 22 23 21 18 16 16 15 13 12 13 14 14 13 12 13 13 12 12 13 13 12 12 12 11 12 12 12 14 14 13 11 10 9 8 8 10 12 12 13 13 12 13 14 15 16 16 16 16 16 15 16 15 14 13 12 12 12 12 12 12 12 12 12 12 12 11 12 13 14 14 15 16 17 16 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 16 15 12 10 10 11 11 11 12 12 13 14 13 13 14 14 14 14 14 13 13 12 12 12 12 13 16 18 18 17 15 13 12 12 12 13 12 12 11 12 12 11 11 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 15 15 15 15 15 15 14 14 15 16 14 13 12 13 14 15 15 14 15 14 13 13 12 14 16 17 18 17 15 13 12 13 13 13 14 14 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 4 4 4 3 3 4 4 5 5 8 11 15 22 29 34 36 36 36 36 34 30 26 23 18 11 5 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 2 3 3 4 4 5 5 5 6 7 9 11 10 8 6 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 20 13 5 0 0 0 0 0 0 0 3 6 7 18 21 22 22 21 19 18 18 19 22 22 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 20 17 20 18 16 24 28 32 20 23 37 39 49 88 99 109 112 114 110 81 39 16 9 5 13 36 57 69 69 70 77 89 98 103 120 123 103 93 105 120 124 126 128 123 109 101 113 134 147 151 151 150 148 150 148 140 131 120 108 103 104 101 97 93 86 76 74 87 107 126 142 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 3 3 3 4 4 4 4 4 2 8 15 22 29 34 33 33 32 32 30 27 23 17 10 5 2 0 0 0 0 0 0 0 2 5 4 2 1 2 2 2 2 3 4 5 5 6 6 6 6 5 6 6 6 7 7 6 5 5 4 4 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 6 12 19 14 5 0 0 0 0 0 0 0 0 1 5 10 17 22 23 23 22 19 11 6 11 18 20 16 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 9 4 11 8 3 10 10 16 14 17 47 59 73 92 109 113 80 38 14 9 6 6 29 63 82 84 81 80 90 103 110 117 116 108 110 120 122 120 119 122 120 108 100 108 123 137 142 142 141 142 143 140 131 122 115 106 103 102 98 94 93 89 83 82 94 113 128 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 3 3 2 3 3 3 4 4 3 3 3 5 9 17 24 27 28 28 29 32 32 29 24 18 12 7 4 2 1 2 2 2 2 7 12 10 6 3 3 3 4 4 4 5 6 7 8 9 9 8 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 20 22 20 6 1 0 0 0 0 0 0 0 0 2 5 8 16 22 23 24 22 17 7 1 2 4 4 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 5 13 17 23 29 38 40 23 9 3 0 4 15 18 35 56 72 75 54 24 7 11 22 27 39 69 94 104 101 93 91 99 107 110 109 108 113 120 122 119 115 118 118 111 106 110 116 123 130 132 133 138 146 149 138 126 117 111 110 110 106 99 94 89 86 90 103 120 131 136 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 3 3 2 2 2 2 3 3 3 3 3 2 3 5 10 15 19 22 24 25 29 32 33 30 24 18 12 7 6 7 8 6 7 9 13 12 9 6 4 5 5 5 6 6 8 10 11 11 11 9 6 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 20 20 15 5 1 0 0 0 0 0 0 0 0 3 6 6 13 18 20 21 20 13 4 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 3 14 23 24 28 37 48 54 46 26 7 0 3 12 21 33 47 49 37 23 16 32 60 81 87 80 86 105 120 121 110 96 91 98 102 100 100 106 115 122 123 117 118 119 115 113 112 111 111 116 125 134 146 160 166 155 134 121 118 119 121 120 112 101 90 85 91 106 122 129 132 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 4 4 4 3 3 2 2 2 2 2 2 3 3 2 2 2 3 6 8 12 18 22 26 32 35 35 32 27 20 15 12 12 13 11 9 8 8 10 9 8 7 6 6 7 7 8 10 10 10 10 9 7 5 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 19 19 14 7 2 0 0 0 0 0 0 0 0 0 1 4 6 9 11 12 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 26 26 24 26 31 42 47 35 16 3 1 9 22 26 51 73 56 19 18 73 108 122 116 99 94 103 119 127 119 102 90 88 94 94 93 95 103 112 120 123 125 124 121 118 115 111 110 114 121 130 147 165 175 165 138 117 116 122 128 132 129 116 97 86 90 104 118 126 126 134 nan nan nan nan nan nan nan nan nan nan 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 4 4 3 3 3 3 3 2 2 1 0 1 1 2 2 2 2 3 4 7 13 19 26 32 33 32 29 24 19 16 14 14 13 11 9 8 10 10 10 10 9 8 8 9 9 8 8 8 8 6 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 10 7 8 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 18 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 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 0 0 0 0 0 0 0 0 5 11 12 13 17 20 24 23 23 25 26 31 35 35 25 11 4 6 15 21 57 102 99 72 49 87 129 128 110 94 90 95 106 117 118 111 101 88 86 92 92 91 93 95 102 115 124 128 126 121 119 119 120 123 125 127 134 154 168 162 137 114 111 120 130 139 143 135 112 94 96 107 116 121 124 139 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 nan nan nan nan 6 6 5 5 5 4 3 3 3 3 3 3 2 2 1 1 1 1 1 2 2 2 2 4 8 14 21 24 24 22 18 17 16 15 14 13 11 10 10 11 11 11 11 10 9 8 8 8 7 6 6 5 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 3 3 2 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 13 11 13 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 15 12 6 2 0 0 0 0 0 1 2 1 0 0 0 0 0 0 2 5 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 21 33 33 30 22 16 13 15 22 31 34 33 34 38 34 24 20 22 35 42 71 111 110 117 103 119 125 119 107 94 90 88 94 108 115 118 116 98 86 92 95 92 91 89 87 98 113 121 122 121 123 128 132 136 138 139 142 151 162 161 141 117 108 117 129 139 148 146 126 110 107 112 116 119 126 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 6 6 7 6 3 2 2 3 3 3 3 2 2 2 1 1 0 1 1 1 2 2 3 5 9 12 13 12 10 10 11 11 11 10 8 6 6 8 8 8 8 8 8 8 8 8 8 7 5 3 3 3 3 2 2 2 1 1 1 1 2 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 18 15 15 17 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 3 0 0 0 0 0 0 2 4 4 4 2 0 0 0 0 0 0 1 4 5 6 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 21 34 37 30 20 12 5 2 5 14 32 46 46 41 41 44 49 50 54 61 75 104 104 103 110 109 107 100 102 99 91 90 85 84 96 110 120 121 109 97 98 100 98 96 94 91 94 103 109 111 114 120 129 136 141 147 151 158 162 163 159 147 129 117 117 123 133 144 146 134 121 117 119 121 123 130 142 149 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 10 11 9 8 9 8 3 0 0 1 2 2 3 3 3 2 2 2 1 1 0 0 0 0 1 2 3 5 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 6 7 8 8 9 9 8 6 4 3 3 3 1 0 0 0 0 0 0 0 1 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 21 18 19 19 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 1 0 0 0 0 0 0 3 5 6 5 4 1 0 0 0 0 0 0 0 2 4 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 2 3 4 11 23 28 27 24 20 13 3 0 0 0 3 20 49 57 46 39 56 74 82 83 84 86 87 88 90 91 91 91 90 91 90 83 80 81 80 86 98 110 118 114 108 107 107 106 105 103 98 100 107 105 102 104 110 119 126 129 136 146 157 162 158 147 133 123 119 117 117 122 133 140 134 126 123 124 126 131 137 144 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 16 17 15 13 12 10 4 0 0 0 0 1 2 2 3 3 3 2 2 2 1 0 0 0 0 0 1 2 3 4 5 6 6 5 4 4 4 3 3 3 3 3 4 5 6 7 8 8 9 8 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 21 23 22 23 21 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 8 10 7 2 0 0 0 0 0 0 1 3 4 4 5 4 2 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 2 12 20 24 29 32 28 22 19 11 4 0 0 0 0 0 4 42 60 59 59 73 88 100 104 107 102 92 84 82 82 85 87 87 88 89 84 79 79 80 80 84 91 103 109 106 112 113 114 115 113 106 107 112 110 105 101 102 107 111 114 120 130 141 148 146 131 109 95 98 106 110 112 118 124 129 130 130 126 125 131 138 142 145 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 18 23 25 23 20 16 12 6 1 0 0 0 0 0 1 2 3 3 4 3 3 2 0 0 0 0 0 0 0 1 2 3 5 5 5 4 3 2 2 2 2 2 2 3 4 5 6 7 7 6 6 5 5 4 4 3 2 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 23 25 25 25 22 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 4 9 14 18 19 15 7 1 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 30 34 29 26 27 28 28 23 8 1 0 0 0 0 5 7 29 54 65 73 86 97 108 115 119 113 100 88 84 84 87 91 93 93 91 86 81 80 81 82 82 80 87 101 106 111 116 118 118 118 114 112 114 116 115 113 110 109 108 108 110 119 130 137 138 126 101 79 74 85 98 107 112 116 125 134 134 126 120 124 132 136 139 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 nan nan 11 18 25 28 26 23 17 9 2 0 0 0 0 0 0 0 1 2 4 5 5 3 1 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 3 3 3 3 2 2 3 5 6 5 3 2 2 2 2 3 3 3 2 1 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 24 25 27 27 23 18 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 1 5 6 4 6 10 16 20 20 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 27 28 21 14 20 25 33 28 12 2 0 2 9 20 35 42 48 58 68 79 93 105 113 121 128 126 118 108 100 93 90 92 95 95 92 87 84 86 88 88 90 87 88 102 111 116 117 119 118 118 117 116 116 118 119 119 118 114 110 106 105 110 118 127 135 131 113 86 64 63 81 105 118 122 125 132 130 121 117 121 126 129 133 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 2 8 16 22 25 25 20 15 7 2 0 0 0 0 0 0 0 0 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 5 5 5 4 3 4 5 4 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 21 25 25 26 28 26 20 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 3 4 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 17 23 15 6 8 14 24 25 18 7 5 18 32 48 65 77 84 83 80 82 89 98 106 117 130 134 136 134 127 116 103 94 96 96 95 92 91 90 94 97 104 103 101 98 105 115 117 118 117 116 115 116 118 121 121 120 118 116 111 106 103 105 107 118 131 137 132 112 78 56 63 85 111 128 131 128 122 113 109 113 118 121 125 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 3 7 11 15 18 18 19 16 10 5 2 1 0 0 0 0 0 0 2 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 21 24 26 26 27 26 22 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 6 16 16 11 7 8 13 20 24 22 28 42 51 62 82 98 102 100 95 89 86 85 87 94 105 118 127 135 141 139 131 116 108 104 103 101 98 96 98 105 114 117 114 106 105 114 118 117 116 114 112 110 114 121 122 120 121 119 116 111 107 109 112 119 128 136 140 133 110 79 60 68 101 129 135 131 123 114 107 107 110 113 116 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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