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 6 6 6 7 7 6 5 5 5 5 4 5 5 5 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 1 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 3 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 7 7 6 6 5 6 6 7 7 8 9 9 8 8 8 8 8 7 6 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 7 7 7 7 7 5 8 14 13 9 7 6 6 7 6 8 9 10 10 6 1 6 12 9 8 7 4 6 7 6 3 -2 -4 -4 -3 1 6 10 14 20 20 11 2 -4 -6 2 9 7 3 5 10 9 7 6 7 8 8 8 8 7 6 8 9 9 6 5 7 10 11 11 11 14 20 25 28 28 27 19 8 2 3 4 4 5 5 4 4 4 3 4 4 4 4 4 5 5 5 4 2 1 1 1 2 2 2 3 3 3 3 2 3 4 4 4 4 5 5 5 5 8 11 15 22 30 23 10 5 5 5 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 6 8 9 6 5 5 5 4 5 5 5 4 4 3 2 2 4 8 9 6 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 5 5 5 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 4 9 14 22 35 32 20 13 9 5 1 -2 -9 -7 -13 -6 1 -1 1 4 5 5 -0 -0 0 -7 -11 -7 -5 -7 -7 -2 4 5 4 4 5 7 11 14 16 16 7 1 4 6 6 6 6 7 8 11 11 9 10 11 10 8 7 7 6 5 6 6 7 7 7 7 5 4 2 2 3 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 nan nan nan nan 5 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 5 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 7 6 6 5 5 5 5 6 5 5 4 3 4 5 5 6 7 7 7 7 7 7 7 6 9 15 16 13 9 8 8 6 4 5 10 13 10 5 -2 -1 8 11 12 12 5 1 4 5 4 1 -2 -1 0 1 2 4 7 13 16 10 3 -1 -2 2 10 14 13 13 14 12 6 3 3 5 6 7 9 8 7 8 8 7 6 8 8 9 11 13 12 14 19 24 25 26 22 12 4 2 3 4 4 4 5 5 5 4 4 3 4 4 4 4 5 5 4 4 3 1 1 1 2 2 3 3 3 3 2 2 3 4 4 4 4 5 5 5 5 7 10 17 26 30 25 12 6 6 5 5 6 7 8 7 5 5 4 4 4 5 5 5 5 5 4 5 5 3 2 4 4 3 3 5 5 5 4 4 4 2 1 3 6 8 7 5 3 3 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 3 4 4 4 3 3 3 3 2 2 2 1 1 2 1 1 1 1 1 2 1 2 1 2 2 2 2 1 4 11 16 17 25 32 31 25 19 13 12 11 8 4 3 2 5 4 5 4 5 10 7 2 2 2 2 -0 1 -2 -4 -4 0 4 4 3 4 5 5 6 8 11 8 3 5 5 5 5 6 7 7 8 8 8 7 6 5 5 6 6 6 6 6 6 6 6 7 7 7 6 4 2 2 4 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 nan nan nan 5 5 5 5 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 3 4 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 6 6 5 5 5 5 6 6 6 4 4 4 5 6 6 6 7 8 7 7 7 7 8 12 15 18 16 12 10 6 -1 -0 4 9 14 11 5 -4 -8 -4 7 14 13 4 0 4 7 5 3 2 3 4 3 3 3 3 4 7 6 4 3 2 4 12 18 15 10 9 9 9 5 3 4 6 6 8 9 10 8 4 4 7 9 8 8 9 11 12 13 14 18 22 21 13 6 2 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 2 2 1 2 2 2 3 3 3 3 2 2 3 4 5 4 4 5 5 5 5 6 10 18 31 36 26 11 5 5 6 7 8 8 7 7 7 6 5 6 6 6 6 6 6 5 5 3 3 -3 -6 -1 2 -1 -2 2 5 5 4 4 3 3 2 2 4 6 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 1 1 1 1 0 0 0 1 1 1 0 -0 1 1 1 1 2 9 15 13 7 7 15 23 29 25 15 13 12 9 6 7 7 9 8 5 3 4 7 10 8 5 6 7 6 5 4 1 1 4 5 4 3 4 5 5 5 6 6 6 5 5 5 5 5 6 7 7 7 8 7 6 5 4 4 5 5 6 6 6 6 5 6 6 8 8 7 5 3 2 2 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 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 4 4 5 5 4 4 4 4 3 4 4 5 5 4 4 5 5 5 4 5 4 4 4 5 5 5 5 6 6 7 6 6 6 6 7 8 9 9 9 9 9 10 10 10 10 9 9 7 6 5 5 5 5 5 5 5 5 4 5 5 5 5 6 7 7 7 7 7 7 6 5 5 13 17 13 9 4 -3 0 4 5 6 5 3 1 -2 -4 3 10 7 4 4 6 6 7 5 4 4 5 6 6 6 4 3 3 2 3 3 2 5 13 16 11 7 3 3 9 9 5 3 6 8 6 8 11 9 4 4 7 10 11 10 8 8 10 12 15 20 20 13 6 3 2 3 4 4 4 5 6 6 5 4 4 4 4 4 4 4 5 5 5 3 2 2 2 2 2 2 3 3 3 3 2 2 3 4 4 4 4 5 5 5 5 5 8 17 34 44 26 8 4 4 5 6 6 6 4 6 6 6 6 6 6 5 5 5 5 5 4 4 5 -0 -8 -6 -2 -3 -2 2 5 4 4 4 4 3 3 2 3 4 5 4 4 3 3 3 3 3 2 2 2 2 2 1 2 2 2 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 0 0 0 1 1 3 5 4 3 1 0 1 2 7 13 13 7 3 2 4 8 19 23 16 11 10 8 5 4 6 9 11 8 4 3 5 8 8 8 9 5 2 3 5 4 5 7 7 5 3 4 4 4 4 5 6 6 6 5 5 5 5 6 7 7 7 7 7 6 5 4 4 5 5 5 5 5 6 5 5 6 7 7 7 5 4 3 3 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 3 4 5 6 6 7 7 6 6 5 5 5 6 6 6 5 4 3 3 3 3 4 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 5 5 4 5 5 5 4 4 4 4 4 5 4 5 5 5 6 6 7 6 6 6 7 7 8 9 8 8 9 10 11 11 11 10 10 9 7 6 5 5 5 5 5 5 5 4 4 5 6 6 5 6 7 7 7 7 7 7 4 -3 -6 3 11 8 7 8 4 3 3 2 2 4 8 10 9 6 4 6 5 5 6 5 4 5 5 3 4 4 7 8 8 6 4 3 2 2 3 3 5 7 7 8 8 3 -1 3 8 5 -0 -1 5 7 9 12 11 8 7 9 13 12 9 6 7 9 13 19 21 14 7 3 2 3 3 3 4 5 5 6 6 5 4 4 4 4 4 4 4 4 5 4 3 2 2 2 2 2 2 3 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 7 14 30 46 35 11 5 4 5 5 4 4 4 4 5 5 5 4 5 5 5 5 4 3 3 4 6 4 -1 -6 -4 5 8 6 4 4 5 5 4 4 3 3 3 3 3 4 3 3 2 2 2 3 2 2 2 2 2 1 1 2 2 2 3 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 3 5 10 16 20 17 11 5 2 5 11 12 6 0 1 0 -1 2 7 13 12 9 8 8 6 4 4 6 10 11 9 6 7 10 8 6 7 6 3 4 5 6 7 6 5 5 4 4 4 5 5 5 5 6 6 6 5 5 5 6 7 7 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 4 4 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 4 4 3 2 3 3 3 4 6 6 6 6 6 5 5 5 5 6 7 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 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 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 6 6 7 7 6 6 7 8 8 9 8 7 9 11 13 14 13 11 10 9 8 7 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 7 7 7 7 6 5 2 3 6 2 -1 5 11 5 -3 -3 1 6 9 12 13 11 10 9 9 8 7 7 5 2 3 2 2 3 4 6 9 8 6 5 3 4 3 4 6 2 -2 -2 2 7 6 1 -3 1 5 3 -2 2 10 12 10 10 10 10 12 13 11 7 6 7 9 13 17 13 7 4 3 3 3 3 4 4 5 5 6 6 5 4 3 4 4 4 4 4 4 5 4 3 3 2 2 2 2 2 2 3 3 2 3 3 3 4 4 5 5 5 5 5 5 5 6 10 22 40 43 21 7 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 5 5 6 4 -2 -2 6 11 8 4 4 5 5 4 4 4 3 3 2 3 3 3 3 2 2 3 3 3 3 3 3 3 2 1 2 2 2 2 3 4 4 3 3 3 2 3 2 2 2 2 2 1 1 1 1 0 0 1 1 0 1 2 2 2 4 10 17 25 34 36 32 23 15 14 12 6 -3 -6 -4 -4 -6 -2 3 6 8 7 6 7 7 6 4 4 5 8 14 10 7 14 13 7 6 5 6 7 6 6 6 6 5 5 4 3 3 4 5 6 6 6 6 6 5 5 5 6 7 8 7 7 7 6 5 4 4 4 5 5 5 6 6 6 6 5 6 6 6 6 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 5 4 3 3 3 4 4 5 5 6 6 5 5 5 5 6 6 6 6 6 5 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 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 6 6 6 7 8 8 7 7 7 9 12 15 16 15 13 11 10 9 7 6 5 4 4 4 4 4 4 3 4 5 5 6 6 6 6 7 7 7 7 6 8 12 14 7 -1 1 3 -4 -10 -6 4 8 6 5 6 7 9 11 12 9 7 7 6 4 4 3 3 5 8 7 7 5 5 6 4 6 6 8 12 6 -2 -4 -3 3 8 5 1 1 8 10 4 3 9 12 10 9 10 9 8 9 7 5 5 6 9 14 14 8 5 4 3 3 3 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 5 4 4 3 3 2 2 2 2 2 2 3 3 3 2 3 4 5 5 5 5 5 5 5 5 6 6 8 12 28 43 30 12 8 6 5 4 5 5 5 5 5 4 4 4 4 4 5 6 6 6 5 4 4 5 4 -0 -3 1 5 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 1 1 2 1 1 1 0 -0 0 0 0 0 0 0 -0 0 3 10 17 22 29 37 41 37 30 24 13 1 -3 -4 -2 -1 -3 -1 3 5 5 6 7 6 6 7 7 4 3 1 4 8 8 12 12 8 5 4 5 6 5 5 5 5 6 6 6 3 0 1 3 5 6 6 6 6 6 5 5 5 6 7 7 7 7 7 5 4 4 4 5 6 5 5 5 6 6 6 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 nan nan nan nan nan 7 6 6 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 4 5 4 5 5 5 5 5 4 5 5 6 6 5 6 6 6 6 6 6 7 7 7 7 6 7 9 13 16 18 17 14 12 10 9 8 6 5 4 3 4 4 4 3 3 4 5 5 6 6 6 6 7 7 7 8 7 7 8 10 11 9 6 1 -5 -6 -2 3 3 1 1 3 6 10 11 11 9 7 6 6 5 5 6 6 9 13 9 5 3 4 5 5 7 9 13 17 13 6 3 -1 1 6 13 12 5 7 8 6 7 10 10 7 8 12 9 5 5 5 5 6 7 12 16 12 7 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 3 2 2 2 2 2 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 6 8 16 36 36 20 14 11 9 7 6 6 5 5 4 5 6 5 4 4 5 6 7 6 5 4 3 4 4 2 -2 -1 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 2 2 2 1 1 1 1 2 1 1 1 1 1 1 0 0 0 -0 -0 -0 -1 -1 1 4 7 10 12 15 21 28 30 25 19 11 4 3 2 2 4 4 4 5 5 5 5 6 6 5 6 7 6 7 1 -6 -4 3 7 7 4 4 5 5 4 4 4 4 5 5 7 10 9 -1 -5 -3 3 6 7 6 6 6 6 5 4 5 6 7 7 6 6 6 5 4 4 5 5 6 6 6 6 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 nan nan nan nan nan 6 6 6 5 5 4 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 3 3 3 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 6 6 5 6 6 6 6 5 5 6 7 7 6 5 7 9 12 16 18 17 15 12 10 9 8 7 5 4 4 4 4 3 3 3 3 4 5 6 6 6 6 6 7 7 8 8 6 4 3 6 12 13 7 3 3 4 3 1 2 6 7 9 10 11 11 10 7 4 5 5 5 5 8 12 12 7 4 4 5 5 6 7 10 14 14 11 11 9 5 3 4 8 9 7 8 6 5 5 10 15 12 10 12 9 5 3 3 6 8 11 16 16 9 5 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 3 2 2 2 2 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5 5 6 6 6 6 9 23 37 32 22 18 16 13 11 10 9 8 6 6 8 9 9 8 7 6 5 5 5 4 3 3 3 5 4 1 2 4 4 4 4 4 5 5 4 4 3 3 3 3 3 2 2 3 3 3 4 4 4 3 2 2 3 3 3 3 3 2 2 2 2 2 1 0 0 1 1 1 1 1 1 0 0 1 0 -0 0 -0 0 1 5 10 10 7 5 6 8 10 13 17 13 6 7 7 5 4 5 4 4 5 4 4 4 4 4 5 6 5 5 7 12 11 -0 -6 -1 3 4 3 4 4 4 4 4 4 4 4 5 7 15 18 8 -2 -7 -4 5 7 7 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 5 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 3 4 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 6 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 6 6 5 6 6 5 5 5 6 7 6 5 6 8 11 15 17 17 14 12 10 9 8 7 6 5 4 3 4 3 3 2 3 3 5 6 6 7 7 7 8 8 8 8 7 5 3 3 6 8 9 9 6 4 5 7 10 13 12 9 8 10 11 11 8 4 4 5 4 3 5 9 8 5 3 4 5 7 8 7 9 11 10 9 8 6 6 5 4 4 3 5 5 0 2 1 6 15 19 16 12 7 2 -1 1 6 9 13 16 12 6 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 4 5 5 6 6 5 6 11 23 33 32 29 27 24 22 19 17 14 12 10 9 13 16 15 10 6 4 4 4 4 4 4 4 5 6 5 4 4 4 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 4 4 3 2 2 2 2 3 3 3 3 2 2 2 2 1 0 0 0 0 0 1 0 0 0 -0 0 0 0 0 1 1 6 12 18 15 7 4 5 6 7 8 13 15 7 4 5 5 5 5 5 3 4 4 3 4 4 5 7 11 10 7 7 11 16 10 2 1 3 3 4 4 4 4 4 4 4 5 4 4 6 14 21 12 6 3 -3 1 7 7 6 7 6 6 5 5 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 6 6 7 7 6 6 6 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 2 3 4 4 4 3 3 4 5 5 4 3 3 3 3 4 5 6 5 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 2 3 2 3 2 2 2 2 3 3 3 3 4 4 3 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 7 10 13 15 15 13 11 10 9 8 7 5 5 4 3 3 4 4 3 2 3 4 5 7 7 8 9 9 9 9 8 7 5 4 5 5 6 6 5 2 2 7 13 14 12 8 6 7 10 12 12 9 6 5 5 5 3 3 4 5 4 4 4 8 12 9 4 4 7 7 7 7 5 6 5 8 8 3 5 0 -8 -5 -2 6 14 16 14 9 4 1 2 5 7 8 12 14 8 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 5 5 5 5 5 4 4 5 4 5 6 6 6 6 6 8 17 24 27 30 31 30 29 26 23 22 18 15 15 17 18 15 10 7 6 7 7 7 7 7 7 8 9 7 4 4 5 4 4 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 2 2 2 1 1 2 3 3 3 3 2 1 1 1 0 0 0 0 0 0 -0 -0 -0 0 0 0 1 3 6 10 15 17 11 4 3 5 5 6 7 12 17 13 7 6 5 5 5 6 5 5 6 6 5 5 8 12 16 15 10 8 7 8 8 5 3 4 3 4 4 4 4 4 4 4 4 4 4 5 9 14 10 6 9 6 4 6 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 4 5 5 6 7 8 7 7 6 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 1 2 3 3 3 2 2 3 4 5 5 4 3 2 2 3 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 4 3 4 4 3 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 8 11 12 13 13 11 10 8 7 6 5 4 4 3 4 5 4 3 3 3 4 5 7 9 10 10 10 10 9 9 8 6 4 5 7 6 3 -2 -4 2 9 11 8 6 4 3 5 9 12 12 9 7 6 6 6 5 4 4 4 4 4 7 11 12 8 2 -1 2 4 4 5 8 9 8 11 7 2 5 10 8 3 3 10 15 9 7 5 3 5 10 13 10 10 13 11 5 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 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 9 13 16 20 23 25 26 25 26 26 24 22 19 18 18 17 16 16 16 17 18 16 13 12 12 11 6 3 3 3 3 3 4 5 5 5 4 5 4 4 4 4 4 3 3 2 2 2 2 2 2 1 1 -1 -2 -2 -0 2 3 3 2 2 1 1 1 0 -0 0 -0 0 0 0 0 0 0 -0 1 6 13 13 11 9 5 1 -1 -0 1 1 3 9 13 11 7 7 6 6 6 5 4 6 8 8 8 9 9 9 11 12 9 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 8 6 4 6 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 7 8 7 7 6 5 5 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 3 3 3 2 2 2 3 4 4 4 4 3 1 2 3 4 4 4 4 4 4 3 3 4 3 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 8 9 11 11 11 11 9 8 7 6 5 4 3 3 4 5 4 3 3 3 4 5 9 10 9 8 8 9 9 9 8 9 8 4 0 -2 -1 -4 -3 4 9 6 4 5 6 4 4 7 9 11 8 6 7 9 9 8 5 4 4 4 3 7 13 11 8 7 2 2 4 3 2 6 9 10 10 6 6 8 20 28 20 13 12 11 6 7 7 5 7 11 12 10 12 14 9 5 4 4 4 4 4 4 4 4 5 5 5 5 6 5 4 4 3 3 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 5 5 6 6 9 12 15 15 16 20 23 26 27 26 24 25 28 30 27 23 22 20 19 18 16 9 3 3 2 2 1 1 3 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 2 2 1 -0 -3 -5 -6 -3 1 3 3 3 3 2 1 1 0 0 0 -0 0 0 0 0 0 0 -1 0 5 13 11 4 2 3 1 -4 -6 -6 -4 -1 2 7 8 7 7 7 7 7 7 5 3 5 6 6 8 7 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 6 8 11 8 3 5 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 7 7 7 8 7 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 3 3 3 2 2 2 3 3 4 4 4 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 3 3 3 3 3 4 3 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 3 3 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 8 10 10 10 9 8 8 7 5 4 3 3 3 4 4 4 3 3 3 4 6 10 7 3 4 5 7 7 7 8 12 10 2 -8 -10 -2 -1 0 5 9 4 6 8 8 6 4 5 8 10 10 7 8 10 10 7 5 3 3 4 4 9 12 11 10 10 7 3 5 4 1 3 5 8 7 7 6 4 14 23 21 16 11 8 11 14 10 7 8 10 9 11 15 12 7 5 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 5 6 8 11 16 22 24 24 24 22 21 18 14 12 13 14 15 14 6 3 3 2 1 0 0 1 2 2 2 1 1 1 1 -0 -0 0 1 2 3 3 4 4 4 4 3 2 -0 -3 -4 0 4 5 6 4 3 3 2 2 1 1 -0 0 -0 0 0 0 1 3 3 1 1 4 4 1 -1 -0 1 -2 -3 -5 -5 -1 2 4 5 6 7 8 8 10 13 13 7 4 5 4 3 6 6 5 4 5 5 4 4 4 5 5 4 4 5 5 4 4 4 4 5 4 4 4 5 6 6 6 6 9 11 8 6 8 8 7 6 6 7 7 5 4 5 5 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 7 8 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 nan
nan nan nan nan nan 5 5 4 4 4 4 4 4 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 2 2 2 3 2 2 3 3 3 3 3 3 2 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 6 6 6 8 9 9 8 8 9 7 6 5 4 3 3 3 3 3 3 3 3 3 4 5 6 2 1 3 6 6 6 6 8 12 10 3 -5 -7 -0 2 2 3 4 2 4 7 6 8 5 4 6 9 11 10 8 9 10 7 4 3 3 4 6 9 10 9 8 6 5 4 4 1 -1 1 5 8 8 8 7 5 7 11 12 12 11 11 13 13 10 7 5 6 8 13 14 10 6 5 5 5 4 3 3 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 3 3 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 4 4 4 4 6 8 10 13 11 7 4 5 6 5 5 6 7 7 5 5 4 4 3 2 2 2 1 1 0 -0 -0 0 2 3 2 3 3 2 2 3 4 5 6 5 5 6 5 4 5 8 10 10 7 5 3 3 3 2 1 1 0 -1 -1 -1 -1 1 5 11 13 6 -4 -6 -4 -1 -0 -0 1 2 3 3 1 3 5 5 4 4 6 6 6 9 14 19 15 9 6 5 5 7 6 4 3 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 7 9 10 8 8 8 7 6 6 7 9 6 2 4 5 5 5 5 6 6 7 7 7 7 7 7 6 7 7 8 7 7 8 8 8 8 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 nan nan nan 4 4 5 4 4 5 5 5 3 2 2 2 1 1 2 2 3 3 3 2 2 3 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 2 3 3 2 2 2 1 2 2 2 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 5 6 6 7 8 8 7 8 8 7 5 4 3 3 2 2 3 3 3 2 3 4 4 5 5 4 4 6 7 7 7 7 9 11 10 5 1 -1 1 5 6 5 1 0 -2 4 7 12 7 4 3 5 10 11 8 8 9 7 5 4 3 3 6 7 8 8 5 2 4 6 5 2 3 6 7 9 9 8 7 8 6 7 8 10 11 10 10 8 7 4 2 5 11 15 12 7 6 5 5 5 4 4 3 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 5 5 6 6 6 6 6 4 4 4 3 2 1 1 1 2 6 11 14 16 14 7 1 1 3 5 5 5 6 6 6 8 10 13 15 12 6 4 3 3 3 3 2 1 -0 -1 -1 -0 2 4 9 16 19 10 -3 -7 -5 1 3 2 2 3 4 5 5 4 4 5 5 5 4 4 6 1 -1 9 12 8 6 5 6 7 6 4 3 4 3 4 4 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 6 6 7 7 6 7 8 9 10 9 9 8 7 6 7 9 9 4 4 5 5 5 5 5 6 7 7 7 7 8 7 6 7 7 8 7 7 8 7 7 7 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 nan nan 3 3 4 4 4 5 5 5 5 3 3 2 2 2 2 2 3 3 2 2 3 3 2 2 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 1 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 6 7 7 7 8 7 7 6 5 4 3 2 2 2 2 3 3 3 3 4 5 6 7 7 7 7 7 8 8 7 9 10 9 7 5 1 1 8 11 9 4 3 -3 5 10 13 9 6 2 2 6 8 7 7 9 8 6 6 4 3 5 5 7 8 6 5 7 8 6 6 10 12 10 9 8 5 5 4 3 6 7 8 7 6 8 6 4 3 5 9 12 13 10 6 6 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 8 7 6 5 5 4 3 3 4 3 3 6 12 22 30 29 17 5 1 2 3 3 3 4 4 3 5 8 11 12 9 5 3 3 3 3 2 2 4 5 5 5 6 7 9 10 12 14 12 6 4 3 3 4 4 3 3 3 3 3 4 4 4 5 7 8 9 8 5 -3 -0 5 4 4 4 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 6 6 6 6 5 5 4 5 6 6 7 7 7 7 7 8 9 10 10 9 8 7 7 6 7 8 6 5 5 5 5 5 6 6 6 7 7 8 8 6 6 7 8 8 8 8 7 7 7 6 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 4 4 3 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 3 3 2 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 6 7 7 7 6 5 5 4 4 4 5 6 7 7 7 7 7 7 6 6 4 3 2 2 2 2 3 3 3 4 5 6 6 7 8 7 7 8 8 8 7 8 8 8 9 8 4 3 10 17 11 6 6 3 2 5 8 9 8 5 4 6 6 5 6 9 9 7 5 4 4 4 5 9 10 8 9 10 9 6 7 11 11 11 8 5 4 3 2 3 4 5 5 3 5 7 5 4 5 7 9 10 10 8 7 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 6 6 5 5 5 4 5 4 4 4 5 4 5 5 5 5 5 5 5 5 6 7 8 7 7 5 4 4 4 4 4 4 4 4 8 18 32 37 26 10 3 2 2 0 0 2 3 2 2 3 5 6 6 5 5 5 6 7 8 8 9 13 17 15 12 11 9 5 5 9 12 12 10 8 5 5 5 5 4 5 5 4 5 7 7 9 9 8 11 12 12 7 2 4 5 4 4 4 4 4 4 4 3 4 3 3 4 4 5 5 5 5 6 6 7 7 6 5 5 5 6 7 7 7 7 8 6 6 8 9 9 9 8 8 7 6 6 6 6 6 6 6 5 6 6 6 6 7 7 7 7 7 6 7 8 9 8 7 6 6 7 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 7 7 8 7 6 5 5 4 4 4 5 5 7 7 7 6 6 6 6 5 5 4 3 2 1 2 2 3 4 4 5 6 7 7 8 8 8 7 7 8 8 8 7 7 8 9 6 4 13 22 15 5 4 5 -2 1 1 5 7 7 7 8 8 5 6 9 10 6 5 5 5 6 6 8 9 9 10 11 9 7 7 8 9 10 7 4 3 2 1 3 4 5 3 3 8 7 5 5 5 7 6 7 9 7 7 6 6 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 4 4 3 3 3 4 4 4 4 3 4 3 4 4 4 4 3 3 4 4 4 3 4 3 3 3 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 6 11 21 32 32 18 6 3 3 2 1 2 3 4 3 3 3 2 4 5 7 10 14 19 22 19 14 16 19 18 15 11 7 4 4 6 9 10 10 8 6 5 7 7 6 9 14 12 9 11 13 14 11 4 4 9 7 5 5 5 5 4 4 4 4 4 4 3 4 3 3 3 4 4 4 5 5 5 5 6 7 7 6 5 5 5 5 7 7 7 8 10 7 2 5 9 9 8 7 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 7 7 8 8 7 6 8 8 9 8 7 7 7 8 10 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 1 2 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 5 7 8 8 8 6 5 5 4 4 5 5 5 6 7 7 6 5 5 5 5 4 4 4 3 2 1 1 2 3 5 6 7 8 8 8 7 7 7 8 8 9 10 9 6 6 7 5 3 11 22 15 2 4 5 -1 -1 -2 1 4 8 10 10 8 6 5 9 10 6 5 5 6 11 13 10 8 7 9 10 8 7 7 6 7 7 4 3 2 1 2 5 6 6 4 6 10 8 6 6 5 5 6 8 9 7 7 6 5 5 5 5 5 4 4 5 5 5 6 6 7 7 7 6 5 4 5 5 4 4 3 3 3 4 4 4 4 3 3 4 4 3 4 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 5 4 4 4 3 3 3 4 4 5 6 10 20 33 31 17 10 9 9 4 1 2 5 9 11 8 5 2 3 7 16 25 29 30 26 17 14 13 12 10 8 6 5 5 5 5 7 8 7 6 6 9 11 12 13 19 20 17 14 11 10 11 6 2 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 5 4 5 5 6 7 8 7 6 5 5 5 6 7 7 8 11 12 5 2 7 8 8 7 6 7 7 8 8 7 7 8 8 8 7 6 5 5 6 6 8 8 8 7 6 7 7 8 9 10 10 8 9 11 11 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 6 7 8 9 8 7 6 5 5 5 5 5 5 6 6 7 6 5 5 4 4 4 4 4 4 3 2 2 2 3 4 6 8 8 8 8 7 7 8 8 8 10 11 11 7 5 7 6 -1 4 14 9 0 6 7 0 -4 -4 -0 2 8 12 10 8 6 5 9 10 7 5 5 9 16 17 12 9 8 9 9 8 6 5 4 4 5 5 5 3 1 2 8 11 7 6 10 12 8 6 5 5 6 7 9 9 7 7 6 5 4 4 5 5 5 4 4 5 5 6 6 7 7 7 7 6 5 5 4 4 3 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 4 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 5 6 5 5 5 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 5 5 5 10 22 33 32 23 17 15 9 3 2 5 11 18 18 13 6 2 5 11 19 21 22 21 15 10 8 6 5 5 6 5 4 4 4 4 5 7 6 6 11 14 14 12 13 15 13 10 6 5 7 7 4 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 5 6 7 7 7 7 6 5 3 4 5 7 7 7 11 9 5 6 8 8 6 6 7 8 10 10 10 9 9 10 9 8 7 6 5 6 7 7 8 8 8 7 6 6 7 10 14 14 10 7 9 10 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 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 5 6 7 9 9 9 8 7 5 5 5 6 5 5 6 7 8 8 7 5 4 4 4 4 4 4 4 4 2 2 3 4 6 8 8 8 8 7 7 7 8 10 11 11 12 6 3 8 10 -1 -2 5 4 1 8 9 5 -2 -4 1 2 5 10 11 8 6 6 9 11 10 7 6 10 14 13 10 9 9 9 8 6 2 -1 -0 4 6 7 6 5 3 5 10 11 8 10 13 9 5 4 5 6 7 6 8 8 7 7 6 5 4 4 5 5 5 5 5 5 5 6 7 7 8 8 7 6 6 5 4 4 4 4 4 5 4 4 4 4 3 3 4 3 3 3 2 3 3 3 4 4 3 3 4 4 5 5 6 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 5 5 5 5 9 18 30 31 24 20 15 8 5 4 7 16 21 17 9 -0 -2 1 1 2 6 10 9 6 6 6 5 5 5 5 4 4 4 4 5 7 8 7 9 11 8 7 7 6 5 6 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 7 8 9 9 2 2 5 6 6 6 7 8 8 7 7 7 7 6 7 9 10 11 11 10 10 10 10 9 8 7 6 6 7 7 8 9 9 7 6 5 6 9 14 14 11 6 6 7 8 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 5 5 4 3 3 3 3 4 4 4 4 3 4 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 2 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 6 6 6 6 6 6 9 10 10 8 7 7 10 13 12 8 6 7 9 10 10 9 7 6 5 4 4 5 5 5 4 3 3 3 4 5 7 8 8 7 7 6 7 10 13 12 9 10 5 -0 5 9 2 -1 3 5 4 8 11 8 3 1 4 4 3 6 9 8 6 7 12 11 10 8 5 9 10 7 6 8 9 7 4 2 -2 -3 1 6 7 6 4 4 4 7 10 10 9 12 11 6 4 5 5 5 6 5 5 6 7 7 6 5 4 4 5 5 4 5 5 5 6 6 7 8 8 8 7 6 6 5 4 4 4 4 5 5 4 4 4 3 3 4 4 3 3 3 3 3 3 3 4 4 3 3 3 4 5 5 6 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 5 4 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 7 14 25 29 26 24 19 13 8 6 9 13 12 7 0 -4 -2 -3 -4 -0 4 6 6 6 5 4 5 5 5 6 7 7 7 8 11 13 12 6 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 6 7 6 6 6 5 5 4 4 4 4 4 5 6 6 7 7 9 13 7 1 4 5 6 6 6 7 7 8 7 6 6 7 8 9 10 11 11 10 10 10 10 9 8 7 7 7 7 7 8 8 9 8 7 6 6 8 11 12 9 6 6 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 7 7 7 7 7 7 6 7 7 6 6 6 5 4 4 4 4 4 5 4 4 4 3 3 4 5 5 5 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 5 5 5 4 4 3 4 4 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 9 10 10 8 8 12 24 34 27 14 7 6 8 9 10 10 10 8 6 5 5 6 6 6 5 4 4 4 5 5 7 7 8 7 6 6 10 13 14 11 8 7 3 -3 -1 2 3 4 6 8 7 9 14 11 5 4 8 9 5 4 6 8 6 7 11 9 5 4 2 8 9 6 5 5 5 2 -1 -2 1 5 9 9 5 1 -0 2 4 6 6 7 9 10 7 3 4 4 3 4 3 2 2 6 7 6 5 5 4 4 4 5 5 5 5 5 5 6 7 8 8 8 7 6 5 5 4 4 4 5 5 5 5 4 4 3 4 4 3 3 3 3 3 3 3 4 4 3 4 3 3 4 5 5 5 5 5 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 5 6 6 6 5 5 5 4 4 4 4 4 2 2 3 3 4 4 5 5 5 5 6 6 5 5 6 12 17 20 25 27 23 18 15 13 12 12 11 6 2 2 3 3 4 6 7 6 6 7 5 5 7 8 11 15 15 15 16 17 14 9 3 2 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 8 7 7 7 6 5 5 5 5 4 4 5 6 7 7 7 9 9 5 4 4 5 5 5 6 7 8 7 7 6 7 7 8 10 10 10 9 9 8 8 8 7 6 7 7 7 8 8 8 8 7 7 6 6 6 9 10 8 6 6 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 7 8 8 7 8 7 7 7 7 6 7 7 6 5 5 5 4 5 5 5 4 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 2 2 3 4 5 5 5 4 4 5 5 5 5 5 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 5 5 5 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 5 5 5 6 7 7 6 7 9 11 11 9 10 17 35 48 36 16 5 1 4 7 8 9 10 9 8 7 5 5 6 6 6 5 4 4 5 6 7 8 7 6 7 9 13 15 12 6 5 6 8 1 -3 1 6 6 6 7 7 10 14 12 7 3 7 11 10 6 5 8 9 7 6 8 2 0 1 6 8 5 4 2 0 -2 -3 -0 6 9 9 5 -1 -4 -2 -0 2 2 -0 1 4 6 5 2 2 -0 -1 1 -0 -1 3 8 8 6 6 5 4 5 4 4 5 5 5 5 5 6 7 8 8 7 7 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 4 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 3 3 2 2 2 3 4 4 4 4 4 5 5 5 6 6 5 5 5 8 13 19 23 23 22 23 22 23 24 19 10 8 8 7 7 12 16 15 12 15 15 12 14 14 15 18 20 18 15 11 7 3 2 1 2 1 2 2 3 4 5 4 4 4 4 4 4 4 4 5 5 6 6 7 6 6 6 6 7 8 8 8 8 7 6 5 5 5 4 4 5 6 7 7 7 8 8 6 6 5 4 5 5 6 7 8 8 7 6 6 7 8 8 9 8 9 8 8 8 7 6 5 5 6 7 9 10 9 8 6 7 6 5 5 7 7 6 5 5 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 6 7 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 4 5 5 5 4 4 3 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 5 6 6 5 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 3 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 3 3 4 5 4 4 5 5 5 6 6 6 6 7 10 11 11 10 10 16 30 41 28 9 -2 -6 -1 5 6 7 8 9 10 9 7 6 6 6 5 5 5 5 5 6 7 7 7 8 10 13 13 12 9 5 1 4 11 7 -0 4 10 7 5 4 3 4 8 10 9 4 4 8 11 8 6 8 9 6 4 5 4 2 4 4 7 5 2 0 -0 1 4 7 7 5 2 0 -4 -5 -2 -2 -2 -0 -1 -1 4 6 5 1 -4 -6 -4 -0 1 2 8 13 10 5 5 5 5 5 5 4 4 5 5 5 5 5 6 7 7 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 3 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 4 5 4 5 5 4 4 5 4 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 3 2 1 2 2 3 3 4 4 4 4 4 4 5 5 6 6 6 5 4 4 7 12 16 17 18 20 19 23 27 23 17 17 15 15 18 21 22 21 22 23 22 21 19 13 12 13 10 6 3 2 1 1 2 2 2 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 6 7 8 7 7 6 5 5 5 4 5 5 6 6 7 7 8 7 6 5 4 4 4 5 6 8 9 8 7 6 6 7 7 7 8 8 8 8 8 8 7 6 5 6 7 10 12 13 11 8 6 5 5 5 5 5 5 5 4 5 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
nan nan 6 6 6 6 5 5 4 4 4 4 4 4 3 4 4 5 5 5 5 5 6 7 7 6 6 6 6 5 4 4 4 5 5 4 4 3 2 3 3 3 3 3 3 3 3 3 2 3 2 2 3 5 7 6 5 3 3 5 5 5 5 5 5 6 5 5 5 4 4 4 4 3 3 4 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 5 5 6 6 6 7 7 10 11 11 10 10 12 20 23 13 -1 -9 -10 -2 4 5 6 7 8 9 9 8 7 6 5 5 5 5 4 4 5 6 7 8 11 14 14 11 10 8 6 1 0 10 9 1 5 11 10 9 7 2 0 4 9 10 7 5 6 10 11 10 10 7 3 1 3 6 6 6 3 6 8 4 2 3 7 10 11 4 -0 -1 1 -2 -4 -1 -0 -0 2 2 3 10 9 4 -1 -7 -7 -2 4 7 7 11 15 8 4 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 5 5 5 4 5 4 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 6 7 6 5 3 3 4 6 7 8 7 7 10 16 22 23 21 21 20 16 13 15 16 14 15 16 14 13 10 7 6 5 3 2 1 1 1 2 2 3 3 5 6 5 3 2 3 3 4 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 4 5 6 7 7 7 6 6 5 5 4 4 5 6 6 7 7 7 6 5 5 4 4 5 6 7 9 9 8 6 6 6 7 7 6 7 8 8 9 9 8 7 7 6 7 9 14 20 22 14 5 3 4 5 6 5 5 4 4 5 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 7 6 6 6 5 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 5 6 7 7 7 7 7 6 4 3 4 4 4 5 5 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 6 7 4 4 4 4 5 5 4 5 6 6 6 6 6 5 5 5 4 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 6 6 6 7 8 10 11 13 13 11 11 10 5 2 -1 -7 -8 -1 4 5 5 6 7 8 8 9 8 6 5 5 6 5 5 4 5 5 8 12 16 15 13 9 7 7 7 1 0 13 13 3 0 4 10 15 13 5 2 3 7 9 10 8 7 11 15 13 9 4 1 0 1 5 6 5 3 5 9 8 6 6 7 7 8 1 -2 1 2 -2 -5 -0 4 5 8 8 10 13 9 3 -2 -6 -4 3 10 13 9 11 13 7 4 5 5 4 4 5 5 5 5 5 5 4 5 5 6 5 5 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 3 4 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 6 7 6 4 3 3 4 5 5 4 4 4 5 9 12 13 14 11 8 6 6 5 4 5 4 5 6 6 5 4 3 2 2 2 2 2 2 3 3 3 5 9 10 7 1 -0 1 3 4 4 3 3 3 3 3 3 4 5 5 5 4 4 3 3 4 4 6 6 7 6 6 6 5 4 4 5 5 5 6 6 6 6 6 5 4 3 4 5 6 8 9 8 7 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 7 15 26 30 21 8 3 3 4 5 6 6 5 4 5 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 6 6 6 6 5 5 5 4 4 3 3 3 2 2 1 1 0 0 1 2 3 5 7 7 7 7 7 6 4 3 3 3 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 3 4 4 4 4 4 4 5 5 6 6 6 7 6 6 5 4 3 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 6 6 7 7 8 9 12 17 18 12 6 2 -2 -2 1 -0 -2 1 4 5 6 6 7 8 8 9 8 7 6 5 6 5 5 5 4 6 12 17 17 14 10 7 3 7 11 2 -1 11 15 4 -1 -1 5 15 15 8 4 2 2 5 7 7 8 14 15 9 1 -1 2 6 8 7 7 6 4 3 7 11 11 8 2 -0 5 1 -1 3 1 -5 -5 1 5 6 9 11 13 14 11 5 -1 -4 -0 9 16 14 9 11 13 7 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 3 2 2 1 1 2 3 3 3 4 4 4 4 4 4 6 6 6 5 3 2 3 4 5 6 5 5 4 4 4 5 6 4 4 4 4 3 3 2 3 3 3 3 3 3 2 2 1 2 2 2 3 3 3 3 4 10 15 12 3 -2 -1 2 4 4 3 3 3 2 2 3 3 4 4 4 4 4 3 3 3 4 4 5 6 6 6 6 5 5 4 4 5 5 5 5 6 6 6 5 4 4 3 4 6 7 8 9 8 7 7 6 6 5 5 5 5 6 6 7 8 7 7 6 8 13 21 25 19 9 3 3 4 5 5 6 6 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 3 2 1 0 -0 0 1 3 5 7 8 8 7 7 5 4 3 3 3 4 5 6 6 5 4 3 4 4 4 5 5 4 4 4 4 4 5 5 6 7 6 4 3 3 4 3 4 4 4 5 6 6 7 7 7 7 6 5 4 3 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 6 6 7 8 8 10 15 22 22 10 -5 -5 1 1 2 3 2 2 4 5 5 6 7 7 8 9 9 8 7 6 5 6 5 5 5 8 13 16 14 12 12 7 -0 2 12 9 -0 4 10 3 -1 -1 -1 10 16 7 2 1 1 3 4 4 9 14 12 3 -5 -5 1 9 15 14 10 7 6 5 5 10 14 7 -4 -4 7 7 1 4 -1 -5 -3 -1 1 3 7 9 10 16 16 7 -0 -1 5 13 16 11 7 10 14 10 4 4 3 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 3 3 4 4 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 5 5 5 5 5 5 4 3 2 2 1 2 2 3 3 4 4 4 4 4 4 4 5 6 6 5 4 3 3 4 6 6 5 5 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 1 1 2 2 2 3 3 3 3 3 5 10 16 15 8 2 0 2 3 3 3 3 3 2 2 3 3 3 3 4 4 4 3 3 3 3 4 4 5 6 6 6 6 5 4 5 5 5 5 5 6 6 6 6 5 4 3 3 4 6 7 8 9 9 8 7 6 5 5 5 4 4 6 6 7 7 6 6 7 11 16 17 12 7 4 4 4 4 5 5 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 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 4 3 2 1 0 1 2 5 7 7 8 8 7 5 4 2 3 3 5 7 7 6 5 4 4 5 5 6 6 4 4 4 4 5 5 5 7 9 8 6 3 3 4 4 3 3 3 4 5 5 6 6 7 7 7 7 6 4 4 5 4 3 3 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 4 3 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 4 5 6 7 8 10 12 15 20 23 21 8 -3 2 6 4 2 2 3 3 4 4 5 5 7 8 8 9 9 9 8 6 5 5 5 4 5 8 10 9 9 10 12 12 4 -5 -2 5 4 4 5 2 0 1 -3 3 12 10 1 -1 1 3 4 3 8 12 10 3 -2 -3 -0 5 13 16 13 8 6 7 7 12 14 6 -3 -1 13 14 3 1 -2 -2 -1 -2 -2 3 7 6 11 20 19 7 -0 2 8 14 13 8 6 10 16 11 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 6 6 5 4 3 2 2 2 2 3 3 4 4 4 4 3 3 4 5 5 7 7 6 4 3 3 4 5 6 6 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 2 2 2 1 3 2 3 3 3 3 2 3 6 12 15 14 10 6 5 5 5 0 -2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 5 6 6 5 5 4 5 4 5 5 5 6 6 6 6 6 5 4 3 3 4 6 7 8 9 9 8 7 6 6 5 5 5 6 6 6 7 6 4 5 8 11 12 9 7 6 4 3 3 4 4 5 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 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 8 8 7 6 5 3 2 1 1 2 4 6 7 8 8 6 5 4 3 3 4 6 7 6 5 4 4 5 6 6 5 5 4 4 4 5 5 6 7 9 9 6 4 4 4 4 4 4 3 3 4 4 4 4 5 6 7 8 8 8 7 5 4 3 3 3 2 2 2 3 3 3 4 4 4 4 4 3 4 3 3 3 4 3 2 3 3 3 3 3 4 3 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 6 7 8 11 15 19 21 22 21 18 10 11 15 8 3 1 2 2 3 3 4 5 5 6 7 8 9 9 10 9 7 5 5 5 5 7 9 7 6 5 6 7 11 10 1 -5 -4 -1 1 2 3 3 4 0 -0 6 11 6 -1 -4 0 4 4 7 11 9 6 3 1 -1 1 7 12 9 6 5 7 10 15 16 10 5 8 16 15 3 1 2 3 6 5 5 9 8 8 18 24 16 5 3 6 12 14 10 6 6 10 16 12 4 4 4 3 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 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 5 6 7 6 4 3 3 4 6 6 6 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 9 15 15 10 9 8 8 7 8 2 -6 -3 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 2 3 4 5 5 6 5 4 3 5 5 4 5 5 6 6 7 7 6 4 3 3 4 5 6 7 9 9 8 8 7 7 6 6 7 7 7 7 7 6 5 5 7 9 9 10 11 9 5 3 2 3 3 4 5 5 5 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 5 5 4 4 3 3 4 4 5 6 6 5 5 6 6 7 8 9 9 8 8 6 3 2 1 2 4 6 7 8 7 6 5 4 3 4 5 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 8 7 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 6 7 9 10 9 7 5 3 2 2 2 1 1 2 2 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 4 5 6 8 10 13 18 22 24 24 23 20 18 18 12 8 7 2 1 1 2 3 3 4 4 5 6 7 8 9 10 10 10 8 6 4 6 11 13 11 7 6 6 6 4 4 5 8 9 3 -1 -1 2 4 5 6 6 3 3 7 8 3 -3 -3 3 5 7 11 9 6 6 3 -0 0 3 4 3 4 5 6 9 14 15 12 10 10 12 10 6 8 10 8 12 10 12 16 15 20 27 23 11 5 7 12 14 12 7 5 7 11 16 12 5 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 6 6 5 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 5 6 6 5 4 4 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 6 12 18 16 8 5 7 8 8 10 7 -1 -2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 1 2 3 4 5 6 7 4 2 4 4 4 5 5 6 6 6 7 7 6 4 3 4 4 5 6 8 8 8 8 7 7 6 6 7 8 8 8 7 7 6 6 5 5 8 11 12 11 8 5 4 3 3 4 4 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 4 4 5 4 3 3 3 4 6 8 8 6 5 5 6 6 7 8 9 10 11 10 7 5 3 2 2 3 5 6 7 7 6 6 5 4 4 5 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 3 3 3 4 4 4 5 4 3 4 3 3 3 2 3 4 5 7 9 10 9 7 4 2 0 1 1 1 1 1 2 2 2 2 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 3 4 4 4 4 3 4 4 4 4 5 5 5 5 4 5 7 10 13 16 21 24 24 23 25 23 18 21 26 12 -1 2 2 2 2 2 2 3 3 4 5 5 6 8 9 10 11 11 8 5 5 9 14 15 14 11 6 6 9 5 3 3 3 4 6 5 4 4 6 7 9 9 8 5 6 8 6 1 -1 2 4 5 9 10 8 4 1 2 5 3 -1 0 4 5 5 6 8 9 9 6 6 8 8 9 11 11 6 7 5 8 15 24 32 29 16 7 9 13 14 12 9 7 6 8 12 15 11 5 4 4 4 3 4 5 4 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 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 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 5 5 3 2 2 3 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 7 15 22 16 5 2 5 7 9 11 9 2 1 5 5 4 4 4 4 5 4 4 4 4 4 5 6 8 2 -0 3 4 4 5 9 7 3 4 5 5 4 5 5 5 6 6 7 7 6 4 3 4 4 6 6 7 7 8 7 6 6 6 6 8 9 9 8 7 7 7 6 6 9 10 11 12 11 9 7 4 4 4 5 5 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 4 4 4 3 4 6 9 10 8 6 5 5 5 5 6 7 9 11 11 11 9 7 4 3 3 3 5 6 6 7 7 6 5 4 5 6 5 4 4 3 3 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 2 2 3 5 6 9 9 8 6 4 1 0 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 5 4 5 4 5 8 11 15 18 21 23 23 19 20 22 16 13 21 25 13 -0 -1 2 2 2 2 2 2 3 4 5 5 6 7 8 10 12 11 7 5 7 10 11 14 15 14 6 2 9 7 5 9 7 1 -1 2 4 6 7 8 10 11 10 9 10 11 10 5 2 2 4 5 6 11 13 6 2 7 11 6 0 1 3 5 5 5 5 6 4 3 6 8 10 8 5 5 3 2 1 4 12 24 30 19 7 8 14 15 11 9 7 7 7 8 12 15 9 5 5 4 4 4 4 4 5 5 4 5 4 5 5 5 5 4 4 4 3 4 5 4 5 5 5 5 4 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 4 3 3 3 4 5 5 4 4 4 5 4 3 3 3 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 7 16 24 15 2 -1 2 3 6 13 14 5 3 6 6 5 4 4 4 5 5 4 4 5 5 5 7 10 7 1 3 4 4 4 7 8 5 4 5 5 5 4 5 5 5 6 6 7 6 5 4 4 5 5 5 6 6 6 6 5 4 4 5 7 8 8 9 9 8 7 6 6 8 9 10 13 15 14 10 5 5 6 7 7 6 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 3 4 4 3 4 6 9 11 10 7 5 4 4 5 5 5 6 8 10 11 11 10 8 6 5 4 5 6 6 7 7 7 6 5 5 5 5 4 3 3 4 4 5 4 4 3 4 5 5 5 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 3 3 6 8 9 9 7 5 3 3 3 3 3 3 3 4 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 6 12 15 18 19 18 16 14 13 19 20 10 8 15 14 8 2 -0 2 3 2 2 2 2 2 3 4 5 6 7 8 10 11 11 9 8 8 9 7 6 6 8 5 2 5 6 4 8 11 7 3 2 4 6 7 7 9 11 12 12 14 19 19 10 2 2 4 6 6 11 15 9 7 12 13 8 5 4 5 6 6 5 5 5 5 6 9 10 8 4 -1 -2 2 0 1 4 9 18 18 9 6 9 11 9 7 5 5 6 7 9 14 16 10 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 4 3 3 3 4 4 4 3 3 2 2 2 2 3 4 5 5 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 6 13 18 12 3 -1 -2 -1 -1 3 11 10 6 6 7 6 5 5 5 6 6 5 5 5 5 5 7 9 10 6 5 5 4 4 5 6 6 5 5 5 5 5 4 4 4 6 6 6 6 6 5 4 4 5 5 5 5 6 6 5 4 4 4 5 6 8 9 9 9 8 7 6 7 8 8 11 15 17 11 6 5 7 8 8 8 8 7 6 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 2 3 4 4 3 4 7 10 10 8 6 5 4 4 4 4 4 6 7 9 10 10 11 10 9 8 7 6 5 6 6 6 6 5 5 5 5 4 4 3 4 5 7 6 5 4 5 6 6 4 3 3 3 3 4 4 4 4 3 3 4 3 3 4 4 4 3 3 3 3 3 3 3 5 8 9 9 9 7 6 6 6 6 6 6 7 7 7 6 5 6 6 5 5 5 6 5 5 5 6 6 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 14 15 14 12 10 9 9 13 19 18 7 5 7 4 3 3 3 3 3 3 3 2 2 2 3 3 4 6 7 7 9 11 12 13 14 11 7 4 0 -1 3 4 3 3 3 3 4 5 5 7 7 6 8 7 5 5 7 12 13 16 23 23 11 2 1 3 6 9 14 13 9 9 11 10 10 9 7 6 7 9 9 9 7 5 6 8 8 4 -1 -4 -3 0 -2 2 6 8 14 11 4 3 3 4 3 2 3 6 7 8 10 14 15 8 5 6 6 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 3 3 4 5 5 5 4 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 4 3 3 3 4 4 3 2 2 2 2 1 2 3 4 5 6 5 4 4 3 4 3 3 4 4 4 4 3 4 5 5 5 5 5 5 5 4 4 5 10 12 10 8 3 -1 -1 -0 -3 -2 5 8 6 6 6 7 7 7 7 6 5 5 5 5 5 6 7 8 8 7 6 5 4 4 4 4 5 5 5 5 5 4 4 4 5 6 7 6 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 5 7 9 10 10 9 7 6 6 7 8 10 12 12 9 7 7 7 8 8 9 9 9 8 6 5 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 5 5 3 2 5 8 9 8 6 5 4 3 4 4 3 4 4 5 7 8 10 12 12 11 9 6 4 4 4 5 5 5 5 5 5 4 4 4 4 6 8 8 8 8 9 9 7 5 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 5 7 8 9 9 8 8 8 8 7 7 8 8 8 7 6 6 6 7 6 6 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 7 11 15 12 9 7 7 7 9 14 19 15 5 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 9 11 12 14 15 11 6 3 1 1 3 4 4 3 3 3 3 2 4 3 5 8 8 7 3 2 3 6 7 11 19 20 10 2 1 3 6 12 16 11 7 6 6 5 7 8 5 3 7 13 17 16 12 7 6 7 5 2 0 1 3 5 2 5 10 14 15 6 -1 -3 -2 1 1 2 7 9 9 9 9 10 12 9 5 6 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 3 3 3 3 4 4 5 5 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 4 4 5 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 4 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 7 9 9 11 11 8 5 4 -1 -4 0 5 6 5 6 6 8 9 8 6 5 5 4 4 4 4 5 5 7 8 8 7 5 4 4 4 4 5 5 6 5 4 4 4 5 6 7 7 6 6 5 5 5 5 4 4 4 4 5 5 5 5 4 4 6 8 9 10 10 8 7 6 7 8 9 10 8 7 7 8 7 8 8 9 9 9 9 8 8 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 4 4 6 7 5 3 3 5 7 7 6 6 5 4 3 3 3 3 3 4 5 5 8 10 11 10 8 5 3 3 3 3 4 4 5 5 4 4 3 4 4 5 7 9 10 11 12 12 8 4 3 3 4 4 4 4 3 2 2 2 2 2 2 2 2 1 1 2 3 3 3 3 3 3 3 4 5 6 7 7 7 7 7 7 7 7 6 6 7 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 6 10 14 14 11 7 6 7 8 9 14 17 12 2 -0 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 8 9 10 11 11 9 6 3 1 2 6 8 9 6 4 3 2 2 2 3 6 11 8 6 4 3 3 2 2 6 14 18 12 5 4 5 7 11 12 9 8 8 5 3 5 6 4 3 7 11 11 11 13 13 11 7 4 4 5 5 5 7 7 9 12 18 12 1 -1 -0 2 4 5 9 11 10 10 10 7 8 14 12 6 5 6 5 4 4 4 4 4 4 5 4 4 4 3 4 4 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 3 4 4 4 4 4 5 4 4 4 3 3 3 3 4 5 4 4 4 3 2 2 3 3 4 4 5 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 2 2 3 6 6 5 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 5 5 5 6 7 7 7 10 15 15 8 5 3 0 1 4 4 4 5 5 7 8 7 6 5 5 5 4 3 3 3 3 5 6 8 9 7 5 4 4 4 4 5 5 5 5 4 4 5 6 7 7 7 6 5 4 4 4 5 5 4 4 5 5 5 5 5 4 5 7 9 11 10 9 7 6 6 7 8 9 8 7 9 10 8 6 6 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
nan 7 7 7 6 6 8 9 7 3 1 2 4 5 5 6 5 5 3 3 3 3 3 4 4 5 6 7 8 7 6 4 3 3 4 4 4 5 5 5 4 4 3 3 4 5 6 8 9 11 13 11 7 4 3 3 4 5 5 4 3 2 1 1 1 2 1 1 2 1 1 1 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 4 5 5 5 5 6 6 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 9 12 12 10 9 7 7 6 7 9 12 16 10 1 -0 2 3 2 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 6 2 1 3 9 14 12 5 1 2 3 4 9 10 10 7 4 5 6 5 4 4 6 12 16 14 13 13 10 8 7 7 7 9 9 6 4 5 6 5 4 6 7 4 3 10 15 12 6 5 8 7 2 1 5 9 10 15 18 7 -3 3 9 10 11 13 16 13 11 9 8 7 8 14 13 6 5 5 5 5 4 4 4 4 5 5 5 4 4 4 3 4 4 5 6 6 5 5 5 6 5 5 5 4 4 4 4 5 4 4 5 5 4 4 4 4 4 3 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 4 3 2 2 3 4 4 4 5 5 6 6 6 5 4 4 4 4 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 2 2 2 4 5 6 4 3 3 3 3 3 3 2 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 7 6 8 13 17 10 4 4 2 2 4 4 4 4 5 5 6 6 6 5 5 5 4 4 3 2 2 3 5 8 10 9 7 6 5 4 4 4 5 4 5 4 4 5 7 7 7 7 7 6 5 5 4 5 5 5 4 4 4 5 6 6 5 5 6 9 10 10 9 8 7 6 6 7 9 9 9 10 10 8 5 5 6 7 8 8 9 10 9 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 8 10 9 5 1 0 1 3 4 4 4 4 3 3 3 3 3 4 5 5 6 6 6 5 4 4 4 4 6 7 6 5 5 5 5 5 4 4 4 4 5 5 6 8 10 8 6 4 3 3 4 5 5 4 2 1 1 0 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 5 8 9 8 7 7 7 6 6 7 9 12 16 10 2 1 3 3 3 3 4 3 3 4 4 5 5 5 4 5 5 7 7 5 4 5 7 7 9 12 11 9 6 1 -2 1 9 12 9 4 2 3 5 9 9 4 2 4 8 8 7 8 9 8 10 10 10 15 15 10 7 7 6 6 8 8 5 4 4 6 6 4 4 6 6 8 9 10 8 6 6 7 4 1 1 5 9 13 21 17 3 -3 7 17 18 18 17 16 13 11 9 7 6 8 12 12 7 4 5 6 6 5 3 4 4 4 5 5 5 5 4 4 4 4 5 6 6 5 5 5 6 5 5 5 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 2 2 3 4 4 4 4 5 6 5 5 4 4 4 4 4 4 5 4 4 5 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 2 2 2 3 4 5 6 5 4 3 3 2 1 -0 -1 0 -0 2 3 3 4 4 5 6 5 5 5 5 5 6 6 7 6 7 10 15 10 2 1 3 3 3 3 4 4 4 5 5 5 5 5 5 4 5 4 3 3 2 2 3 7 10 11 9 8 6 5 5 4 3 4 5 5 5 6 6 7 7 8 8 7 7 5 4 4 5 5 5 5 4 5 6 6 7 6 6 8 9 9 9 8 7 6 5 6 7 8 9 10 9 7 5 6 6 6 7 8 8 10 10 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 7 9 9 7 4 1 1 1 2 2 2 3 3 3 3 3 3 4 5 5 6 6 6 4 4 4 4 6 7 7 7 5 5 6 6 6 6 5 4 4 4 5 5 5 6 6 5 4 4 5 5 5 5 4 2 1 1 1 2 2 3 3 3 3 4 4 4 3 4 3 3 3 3 4 5 5 4 3 2 2 2 3 3 3 4 4 4 5 5 4 3 3 3 3 3 4 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 6 8 6 7 7 7 7 7 8 10 14 17 10 3 2 3 3 4 5 5 4 3 4 4 4 4 4 5 6 8 10 10 8 5 5 8 8 10 12 10 10 10 6 1 -2 1 6 8 6 4 3 3 5 6 3 2 5 8 7 8 11 11 11 13 9 4 6 8 6 7 8 7 6 6 4 2 3 3 5 4 3 5 7 10 11 8 6 9 13 10 3 0 0 1 4 10 20 23 13 -0 -1 10 19 21 19 16 12 9 9 9 8 6 7 11 13 8 4 5 6 6 5 4 4 4 4 4 4 5 5 5 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 4 5 5 4 6 6 6 5 3 3 3 4 4 4 5 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 3 3 3 3 2 2 3 2 2 2 3 3 3 2 2 4 4 6 7 6 4 2 1 0 -3 -8 -10 -8 -7 -5 -1 3 4 4 5 6 6 5 5 6 6 6 7 7 7 7 8 13 11 3 0 2 3 3 3 3 4 4 4 5 6 5 5 5 5 5 5 4 3 3 2 3 5 9 11 11 9 7 6 5 5 4 4 4 4 4 5 6 6 7 7 7 8 8 6 5 5 5 5 6 5 5 5 6 7 7 6 6 8 9 9 9 8 7 7 6 6 6 7 8 7 6 6 6 7 7 6 6 7 8 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 5 5 7 8 8 6 4 2 1 1 1 1 2 3 3 3 2 3 4 4 5 6 7 6 5 3 3 4 5 6 6 6 5 5 5 6 7 7 7 6 5 4 5 5 5 6 5 5 6 6 7 7 6 5 4 3 2 3 3 3 4 4 3 4 4 4 4 5 4 4 4 4 4 3 4 5 6 7 6 5 3 3 3 3 4 4 5 5 4 4 4 3 3 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 6 8 7 7 7 7 7 8 10 11 15 15 8 3 4 4 4 5 6 6 5 4 4 3 3 4 6 8 12 15 15 15 11 6 5 6 6 7 8 7 5 7 9 7 4 2 2 3 4 6 6 4 4 6 6 4 3 4 5 7 7 5 9 16 13 4 1 3 6 10 10 7 5 4 3 3 3 4 5 5 6 6 7 9 8 6 7 12 19 16 5 -1 -1 0 4 12 22 18 7 -0 2 12 17 17 15 11 7 6 7 8 7 6 7 14 16 9 4 5 6 6 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 3 4 4 4 4 4 5 4 4 3 3 4 4 5 6 7 8 7 6 4 3 3 3 4 4 5 5 4 4 4 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 5 6 7 6 4 2 -2 -5 -7 -9 -11 -12 -12 -13 -10 -3 3 4 4 5 5 5 5 5 5 6 7 7 7 7 7 10 11 5 2 2 3 3 3 3 3 4 4 5 5 5 5 6 5 5 4 4 4 3 3 3 4 6 9 10 9 8 7 6 5 5 5 4 4 4 4 5 5 6 6 7 7 8 7 7 5 5 4 5 6 5 5 6 7 7 6 6 7 8 9 9 9 8 8 6 5 5 6 6 6 6 6 7 8 8 7 7 7 7 8 10 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 4 4 4 7 8 8 6 5 3 2 2 3 3 3 3 3 2 3 3 4 4 6 7 7 5 4 3 3 4 5 5 4 3 3 3 4 6 7 7 7 5 5 5 5 6 6 5 5 5 7 8 8 7 5 3 3 3 4 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 3 3 4 6 8 8 7 6 5 5 5 4 5 5 5 5 5 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 4 5 5 8 10 8 7 7 8 10 10 11 14 12 6 4 4 5 5 6 7 6 5 3 3 3 3 6 11 14 17 20 21 17 11 5 2 3 3 5 7 7 5 7 11 12 7 4 1 2 3 6 6 6 6 8 7 3 -0 1 3 3 1 1 5 14 11 2 1 5 10 11 9 6 5 4 3 4 6 5 4 5 6 4 6 10 10 10 12 14 18 21 15 4 2 5 8 15 18 10 4 3 7 15 15 14 13 9 6 5 5 7 6 5 9 14 10 2 2 6 6 6 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 4 5 5 5 6 6 5 5 4 3 4 4 4 4 5 5 5 4 4 3 3 4 5 6 7 8 7 7 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 3 3 3 2 2 2 2 3 3 4 5 5 5 5 6 8 8 5 1 -6 -13 -11 -3 -1 -3 -5 -9 -10 -5 2 4 4 5 5 5 5 5 5 5 6 7 8 7 7 7 7 4 3 3 3 3 3 3 3 4 4 5 5 5 6 6 5 5 4 4 4 4 3 3 4 4 6 7 8 9 8 8 7 6 6 5 4 4 4 4 4 5 6 6 7 7 7 8 7 5 4 5 6 6 6 6 6 7 6 6 6 7 8 8 9 9 9 7 6 5 5 5 6 7 7 8 8 8 8 7 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 6 5 4 4 5 6 7 7 6 6 5 5 4 4 4 5 4 4 4 4 4 4 5 6 7 6 5 3 2 3 3 3 2 2 2 2 2 4 5 6 7 6 5 5 7 6 5 4 4 4 6 8 7 6 4 2 2 4 5 6 6 6 6 5 5 4 4 4 5 5 4 5 5 5 4 3 3 5 7 8 7 7 6 5 5 5 5 5 6 6 6 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 5 5 5 5 4 4 5 7 11 11 7 7 8 10 11 10 15 14 9 5 5 5 5 6 6 6 5 4 3 3 4 6 10 14 15 17 20 21 16 8 3 1 0 2 5 8 10 8 6 10 13 10 4 1 2 3 5 6 7 7 8 8 6 3 2 0 -0 0 1 4 8 6 1 3 8 10 8 6 5 4 4 3 4 6 5 2 2 3 4 7 13 18 22 20 15 19 27 24 13 6 7 12 17 13 6 4 7 13 17 16 15 12 8 6 5 6 7 6 5 8 8 2 0 4 7 7 6 5 4 4 4 3 4 4 4 4 4 5 5 5 6 5 5 5 6 5 5 6 5 5 5 5 5 4 5 5 5 5 5 5 4 5 5 5 5 6 6 6 5 5 4 3 4 5 4 5 5 5 4 4 3 3 3 4 6 8 8 8 7 6 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 3 3 3 2 3 3 2 3 3 3 4 4 5 5 5 5 6 7 8 6 0 -12 -28 -24 -5 3 5 4 -0 -4 -3 2 4 4 4 4 5 4 5 5 5 6 7 8 8 7 6 6 4 4 3 4 4 4 4 4 4 5 4 5 5 6 6 5 5 5 5 6 5 4 4 5 4 4 4 6 7 8 9 9 9 7 6 6 5 5 4 3 4 4 5 6 6 7 8 7 6 5 5 5 6 6 6 7 7 7 5 4 6 7 8 9 9 9 8 6 5 5 6 7 7 8 7 7 8 8 8 7 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 11 9 8 7 6 7 7 7 8 8 7 7 6 6 6 6 5 5 6 6 6 6 5 5 5 7 7 6 4 3 2 2 2 1 1 1 1 1 3 4 5 6 6 6 6 6 5 3 3 3 5 7 7 7 5 4 3 3 4 5 6 6 7 7 6 5 5 4 5 5 5 5 5 6 7 6 5 3 3 4 6 6 6 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 7 11 10 8 8 10 13 14 15 18 11 6 4 5 5 6 6 6 5 5 4 3 3 7 11 12 11 11 13 16 16 12 7 3 1 2 4 6 9 10 6 2 4 9 11 7 3 3 4 4 6 4 2 4 8 9 7 3 0 1 2 2 2 4 8 6 5 8 8 7 5 4 4 4 4 4 4 4 2 2 4 6 8 14 23 28 21 16 22 29 26 17 11 10 13 14 9 5 7 12 18 18 16 13 9 7 6 6 7 6 5 5 6 6 4 4 6 11 11 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 5 5 6 6 6 5 4 3 3 5 5 4 4 5 5 4 4 2 2 3 5 9 11 9 7 6 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 5 2 -10 -31 -29 -9 3 6 5 4 -3 -8 -2 3 4 4 4 4 4 4 4 5 5 6 7 8 7 7 6 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 5 5 4 3 3 4 5 7 8 10 10 9 8 6 6 5 4 4 3 3 4 5 5 6 7 7 7 6 5 5 5 6 6 6 7 7 5 4 5 6 7 9 9 8 7 6 5 5 6 7 7 8 8 8 7 8 8 7 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 13 12 11 10 11 10 10 9 9 8 8 8 7 7 6 7 6 6 6 7 8 9 8 6 5 6 8 7 5 3 2 2 1 2 2 1 1 1 2 3 5 5 6 7 6 5 4 2 2 4 6 7 7 7 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 8 6 5 4 3 3 3 3 4 4 5 5 5 5 6 7 6 6 5 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 7 10 9 8 10 12 14 16 19 14 5 2 4 5 5 6 6 6 5 4 3 3 6 11 12 10 7 8 11 10 9 12 11 7 4 3 6 9 10 9 5 2 3 5 8 8 7 7 6 5 6 4 1 3 6 7 6 4 3 4 5 5 3 5 16 15 7 5 6 7 6 4 4 5 5 5 4 4 3 4 5 5 7 10 15 22 21 18 21 21 18 14 13 15 16 11 5 4 9 14 17 15 13 10 7 6 7 8 8 5 3 4 6 5 4 6 8 14 12 7 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 4 4 4 5 6 6 6 5 4 3 4 4 5 4 4 5 4 4 3 2 2 4 8 11 11 8 6 5 4 5 5 5 5 5 5 4 4 4 4 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 4 4 1 -7 -10 -3 3 5 6 5 0 -9 -11 -1 4 4 4 4 5 4 4 4 4 6 7 7 7 7 6 5 5 5 5 6 6 5 6 6 5 5 4 5 5 5 4 4 5 5 6 7 7 7 6 4 3 3 4 4 5 6 8 9 9 8 7 6 5 5 5 3 3 3 4 5 5 6 7 7 6 6 6 6 6 6 6 7 7 5 5 5 6 7 8 8 7 7 6 5 5 6 7 7 8 8 8 8 8 8 8 9 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 13 12 12 13 15 14 12 10 9 9 9 9 9 9 8 7 6 5 5 6 7 8 9 8 6 5 7 8 7 5 3 3 2 2 2 2 1 1 2 3 4 5 6 7 7 5 4 3 3 4 6 8 8 6 5 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 8 8 7 6 5 3 3 2 2 2 3 4 4 4 5 5 6 6 5 4 3 3 3 4 3 3 4 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 7 10 10 9 10 12 14 17 18 4 -1 2 4 4 4 5 6 5 5 4 4 5 9 11 10 7 6 7 8 7 8 14 15 11 7 3 3 5 6 7 7 6 6 5 5 7 8 9 9 9 9 8 5 3 3 3 4 5 5 5 6 8 9 12 20 19 9 5 6 7 6 5 5 5 5 4 4 4 4 4 4 5 5 3 5 13 18 16 17 15 12 10 12 16 14 7 3 5 9 14 16 14 11 10 10 8 8 9 7 3 2 5 7 4 5 7 10 14 13 7 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 4 5 5 4 4 5 5 6 6 5 5 3 3 4 5 4 4 5 5 4 3 2 2 4 7 10 10 8 7 5 4 4 5 5 5 5 5 4 5 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 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 11 10 6 3 5 7 6 6 4 -4 -8 -1 4 5 5 6 6 5 5 4 4 5 6 7 7 6 6 6 5 6 6 7 7 5 5 7 6 6 5 5 5 5 4 4 4 5 7 8 8 7 7 5 4 3 4 4 5 5 6 7 7 7 6 6 5 6 6 5 4 4 4 4 4 4 5 6 6 6 6 5 6 6 6 6 7 6 5 5 6 7 7 7 6 6 5 5 5 5 6 7 8 8 9 8 8 9 10 10 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 11 14 16 14 11 9 7 8 9 10 11 11 10 9 8 7 6 6 6 7 8 9 7 6 6 8 9 7 5 5 4 4 3 3 3 3 3 3 4 5 6 7 6 5 5 5 4 4 6 7 8 6 5 6 7 7 6 5 5 5 5 4 4 4 5 5 6 5 6 6 6 6 7 8 7 7 6 5 4 3 2 2 3 3 3 3 4 4 5 5 4 4 3 2 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 5 5 6 10 13 12 10 10 10 12 13 9 1 0 3 4 4 4 4 5 5 5 4 4 5 8 9 7 6 5 6 7 9 12 16 17 15 12 6 1 0 2 6 7 7 6 6 6 6 8 9 10 12 10 9 7 5 4 3 3 5 5 5 6 10 15 18 14 10 6 4 6 6 5 5 4 4 3 3 3 3 4 4 6 8 8 2 2 5 9 11 14 12 9 8 9 11 9 3 1 4 10 14 17 13 11 12 11 8 7 9 7 3 3 7 7 5 6 8 11 16 15 8 4 4 5 7 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 2 2 4 6 9 9 7 6 6 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 3 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 6 10 12 12 10 7 6 6 7 7 6 6 0 -5 -1 5 6 6 7 7 8 7 5 5 5 6 6 6 6 6 6 6 6 6 8 10 7 5 6 7 6 6 6 5 5 4 4 5 7 8 8 8 8 7 6 5 4 4 5 6 6 6 5 5 5 5 5 6 6 7 7 6 5 4 4 4 3 3 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 6 7 8 8 9 9 10 10 11 11 11 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 8 10 12 13 12 9 7 6 6 8 10 11 12 12 11 11 10 10 10 8 7 8 9 9 8 6 6 8 9 8 7 6 6 6 5 5 5 5 5 5 5 6 6 6 5 6 6 5 4 4 6 6 6 5 7 7 6 6 5 5 4 4 4 3 4 4 5 5 5 6 6 6 6 6 7 7 7 7 6 5 4 4 4 4 4 4 4 3 4 3 4 4 4 3 2 3 3 3 3 4 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 6 6 8 11 17 18 13 10 8 7 10 7 2 3 4 5 4 4 4 4 4 5 5 5 5 6 7 7 6 5 5 6 7 9 12 14 15 16 14 10 4 2 5 7 6 4 3 5 6 6 7 7 8 11 10 9 11 9 7 5 4 5 5 5 6 12 20 19 8 3 3 4 4 4 4 4 3 1 2 3 3 4 5 5 8 16 18 8 0 2 5 8 7 6 6 6 9 10 5 -0 1 7 10 13 14 11 11 11 9 7 7 10 7 4 5 7 6 4 6 8 14 20 17 8 4 4 5 7 8 6 6 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 6 5 5 4 4 4 4 5 4 4 4 4 4 3 2 3 6 8 8 6 5 5 5 5 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 6 9 9 9 8 10 10 8 6 6 6 7 5 -8 -9 4 6 6 6 8 10 11 9 5 4 5 5 6 6 6 6 6 6 7 7 9 9 7 8 9 8 6 6 6 5 5 5 6 7 8 8 8 7 7 6 5 5 5 5 6 7 6 5 5 5 6 6 7 7 7 8 7 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 7 8 8 7 5 5 5 6 5 4 4 4 5 6 7 8 9 9 10 10 11 11 11 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 7 9 10 12 13 11 8 6 5 6 7 9 11 12 13 13 13 15 15 15 13 11 11 11 10 9 8 9 10 11 10 9 8 7 7 6 6 7 7 7 7 7 6 5 5 6 7 6 5 4 4 5 5 6 6 6 6 5 5 5 3 3 3 3 3 4 5 5 6 6 6 7 6 6 6 7 7 7 6 5 6 6 6 6 6 6 5 4 3 3 3 3 3 4 3 4 3 3 4 4 5 6 6 6 6 5 6 7 7 7 7 6 6 6 6 7 10 14 19 23 21 12 7 4 5 6 0 -1 4 5 4 4 4 4 4 4 5 5 6 6 6 5 5 6 7 6 6 6 5 6 8 11 13 13 11 7 6 7 8 7 4 3 4 5 6 7 7 6 7 8 10 12 12 9 7 6 5 5 5 7 16 24 17 5 3 3 3 2 2 3 3 1 2 3 4 4 5 6 6 11 19 22 11 2 2 4 6 3 3 2 4 7 7 2 -0 6 11 11 12 11 9 9 9 7 6 8 9 6 4 6 5 5 5 6 11 20 22 14 5 4 4 5 7 8 7 6 5 5 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 5 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 3 2 3 5 7 8 6 5 4 5 5 5 6 7 8 8 6 5 5 5 5 5 5 5 5 5 4 5 4 4 5 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 6 5 5 5 5 4 3 3 3 3 3 4 5 6 8 8 7 10 15 16 9 6 6 6 7 6 -1 -5 2 5 6 5 6 9 11 11 8 5 3 3 5 5 5 6 6 6 7 7 7 7 6 8 10 9 7 6 6 5 6 6 7 6 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 7 8 8 9 9 9 9 7 5 5 5 6 7 8 7 6 6 6 7 7 7 6 6 5 6 7 7 8 8 6 5 5 5 5 5 5 4 4 5 6 7 7 9 9 10 10 10 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 7 9 11 13 12 11 8 6 5 5 6 7 9 10 11 13 15 18 19 18 15 13 12 11 12 11 11 11 11 10 9 8 8 8 8 8 9 10 10 9 7 6 5 4 5 7 8 7 5 4 4 5 6 6 6 6 5 5 3 3 2 2 2 4 4 4 4 5 6 6 7 7 6 6 6 6 6 6 6 6 7 8 8 8 7 6 5 4 4 3 4 4 4 5 5 5 4 4 4 5 5 5 6 5 5 6 6 7 7 7 5 5 6 7 11 15 18 21 23 21 14 9 8 9 4 -2 -0 4 4 4 4 4 4 4 4 5 6 6 5 5 5 7 7 8 7 8 7 4 2 4 6 7 9 11 10 8 7 7 7 6 6 5 4 4 6 6 5 4 7 8 9 11 11 11 9 6 5 5 10 19 22 13 5 4 4 3 3 3 4 3 1 4 8 6 5 5 8 12 17 14 5 2 5 6 6 6 7 7 3 3 4 3 2 5 11 13 12 11 9 8 8 7 7 7 9 9 6 5 5 4 5 6 8 15 23 19 8 3 4 5 5 7 7 7 6 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 4 3 2 3 5 7 8 7 5 5 5 5 5 6 6 8 9 8 8 7 6 6 6 6 6 6 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 5 5 5 5 5 4 4 4 4 5 8 12 12 9 7 10 17 16 8 7 7 6 6 4 -3 -3 3 5 5 5 5 6 8 10 9 6 4 4 4 4 5 6 6 6 7 7 9 10 4 5 10 9 7 6 5 6 6 6 6 6 5 6 6 6 7 8 8 7 8 7 8 8 8 7 7 8 8 9 10 11 11 11 10 8 6 5 5 8 11 13 12 8 5 5 6 6 6 6 6 5 5 5 6 7 8 8 6 5 5 5 5 6 5 5 5 5 6 6 7 8 9 9 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 6 6 7 9 10 11 11 10 8 6 5 4 4 5 6 7 9 12 15 17 18 15 12 9 8 9 10 11 11 11 9 8 7 8 8 8 9 9 11 12 9 7 5 4 4 5 7 9 10 7 5 5 5 5 5 5 5 5 4 3 2 2 2 3 3 4 4 4 4 5 6 6 7 7 6 6 6 6 6 6 6 7 8 9 8 8 7 6 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 6 6 6 6 6 5 4 5 8 12 15 17 17 14 13 16 18 20 20 14 4 0 2 4 4 3 3 4 4 5 5 5 6 5 5 5 8 10 11 8 6 8 10 7 4 3 4 5 6 9 10 7 7 9 8 8 7 6 5 4 4 5 5 5 7 6 6 8 9 11 11 9 7 5 10 16 14 7 5 6 5 4 4 4 5 4 2 5 9 10 9 8 11 19 23 14 2 2 9 13 12 9 11 10 4 2 5 6 9 12 14 13 11 8 6 7 8 8 7 9 9 8 5 4 4 5 6 7 11 18 22 14 4 3 4 5 6 7 7 7 6 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 4 4 5 5 5 5 5 4 3 2 2 4 7 7 7 6 5 5 5 5 5 6 7 8 9 10 9 9 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 5 6 5 6 6 6 6 6 6 9 15 18 15 9 8 11 15 11 6 7 7 7 6 5 -4 -10 -1 5 5 5 5 5 5 7 9 7 3 3 3 3 3 5 6 6 7 7 8 13 8 4 8 8 7 6 5 5 5 5 5 5 5 6 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 10 10 11 13 13 12 9 7 5 6 7 11 15 15 11 7 5 5 5 5 6 6 6 6 5 5 6 8 8 6 5 5 5 5 6 6 6 6 6 5 5 5 7 8 8 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 6 7 8 8 10 10 9 7 6 5 5 5 5 5 7 10 13 13 11 8 5 5 5 6 8 9 9 9 9 8 8 8 8 9 9 10 10 8 5 3 3 4 5 7 11 12 9 6 5 5 5 5 5 5 4 3 2 2 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 7 7 8 8 8 8 7 7 7 6 5 5 6 6 6 5 5 4 3 3 4 5 5 6 6 5 5 5 5 6 7 9 14 16 15 15 16 13 7 10 21 26 23 12 2 1 2 3 3 3 3 4 5 5 5 6 6 6 8 10 12 13 12 8 5 6 9 9 6 4 4 5 7 8 7 6 7 8 7 9 7 4 4 5 3 3 3 5 5 5 4 3 4 7 11 13 11 9 11 12 7 4 4 5 6 5 4 4 4 4 2 6 9 10 12 11 13 20 25 19 11 12 13 10 8 6 10 7 1 3 9 11 13 14 12 11 10 8 7 7 8 8 8 9 8 6 4 4 4 6 7 9 13 21 20 9 3 4 5 5 5 6 7 7 6 5 5 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 6 5 5 4 3 2 3 6 7 7 6 6 6 5 5 4 6 6 8 8 9 10 11 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 5 5 6 7 7 7 7 6 6 5 5 6 5 6 7 7 7 7 7 9 14 18 16 12 9 10 13 12 6 6 7 7 7 7 7 0 -9 -5 3 5 5 5 5 5 6 9 10 5 4 4 3 2 1 3 6 7 8 8 9 10 7 8 7 6 5 5 5 5 5 5 5 6 7 8 8 8 8 9 9 9 9 8 8 7 8 8 9 9 9 10 11 13 14 13 11 8 6 6 6 7 10 12 11 8 6 5 5 5 5 6 6 6 5 5 6 6 7 7 7 5 5 4 5 5 6 6 6 6 5 5 6 7 7 7 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 5 6 5 5 6 7 9 10 10 10 9 9 7 7 5 5 6 8 9 10 8 6 5 4 4 5 7 7 8 9 9 9 8 8 8 8 8 8 7 6 5 4 4 4 5 7 10 12 12 9 7 5 5 5 5 5 5 3 2 2 3 3 4 3 3 4 4 4 4 5 5 5 6 6 5 5 5 5 4 4 5 7 8 8 8 8 8 8 8 7 6 5 5 5 4 4 3 3 3 4 5 5 5 5 4 5 7 11 14 17 18 20 20 16 11 10 15 17 14 15 20 19 11 3 -0 1 2 2 2 3 3 4 5 5 5 6 7 10 15 16 15 12 10 8 5 5 9 10 9 6 4 5 6 5 3 4 5 4 6 8 4 2 2 2 2 1 0 1 2 1 1 1 1 3 7 11 13 17 16 10 5 3 4 4 5 5 5 5 4 3 2 6 8 6 6 8 10 14 18 18 15 12 6 -0 -1 4 7 3 0 6 12 11 11 10 9 9 9 9 8 9 8 8 9 8 8 7 5 4 5 7 9 10 14 19 17 7 4 5 6 5 5 6 7 7 6 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 5 5 4 3 3 3 4 5 6 6 5 5 6 5 5 5 5 6 5 5 3 2 2 3 6 7 6 5 5 6 5 5 5 6 6 7 8 9 10 10 10 10 9 8 8 7 6 5 5 5 4 5 5 5 5 5 6 5 5 5 6 6 6 7 6 6 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 11 14 14 10 8 10 12 13 10 7 10 12 10 6 6 7 3 -3 -2 3 6 5 5 5 5 5 7 10 11 9 7 6 6 4 2 4 7 8 10 8 8 8 7 7 6 5 5 5 5 5 5 6 6 7 8 8 8 8 9 9 10 9 8 8 8 8 8 8 9 8 8 10 12 13 14 12 9 7 5 5 5 6 7 8 8 7 6 5 5 5 5 6 6 6 6 6 6 7 8 8 6 5 4 4 5 5 6 6 6 6 5 6 7 7 6 6 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 6 7 6 6 6 6 6 7 8 9 10 10 11 10 9 8 7 6 7 7 9 8 6 5 5 5 6 7 8 8 9 9 10 9 9 8 8 7 6 6 6 6 5 4 5 6 7 9 12 13 11 8 6 5 5 5 5 4 3 2 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 6 7 8 8 8 8 8 8 7 6 5 4 3 3 3 3 4 4 5 5 5 4 3 5 10 18 25 31 35 36 31 22 14 5 3 10 18 20 17 13 8 4 1 1 3 3 2 2 3 3 4 5 5 6 8 11 14 16 15 12 10 9 9 8 8 10 13 12 8 5 4 3 1 2 5 5 4 4 3 4 4 3 3 2 -1 -0 0 -1 -2 -0 1 1 3 4 5 11 23 22 9 4 4 4 4 5 5 5 5 3 2 3 5 9 9 4 3 5 7 12 15 14 9 2 -1 3 7 4 2 5 11 14 12 11 9 8 9 10 10 9 9 8 8 8 8 8 7 5 4 6 8 10 11 13 16 15 7 5 7 7 6 6 6 7 7 6 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 6 5 4 4 3 2 3 4 6 7 6 5 6 5 4 5 5 5 5 5 4 3 2 2 4 6 6 4 5 5 5 5 5 5 5 6 6 7 8 8 9 8 8 7 6 6 6 5 5 4 5 4 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 5 5 5 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 9 8 8 12 16 16 13 9 9 13 14 11 7 8 13 17 15 9 6 5 3 1 1 5 6 6 6 6 6 6 6 7 8 10 10 9 9 8 5 5 6 7 10 10 7 7 7 6 6 5 5 6 5 5 6 6 7 7 7 8 7 7 8 9 9 9 8 7 7 7 7 7 8 8 8 8 10 12 14 13 10 7 6 6 6 5 5 6 7 7 7 6 5 6 6 5 6 7 7 6 6 7 8 8 7 5 4 4 4 5 5 6 6 5 5 5 6 7 6 6 7 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 7 7 6 5 5 5 6 6 7 9 10 11 10 10 9 8 7 7 9 9 7 6 5 6 6 6 7 8 9 10 11 11 10 9 8 7 7 6 7 7 7 6 6 6 6 8 11 13 12 9 7 5 5 5 5 4 3 2 3 4 5 5 4 4 4 4 4 4 5 5 6 6 6 6 5 4 4 3 3 4 5 6 7 6 6 7 7 7 6 5 4 3 2 2 2 3 5 5 5 5 4 3 5 13 23 29 30 31 33 33 27 21 15 7 3 6 9 13 11 6 4 3 2 3 3 3 2 3 3 4 4 4 6 9 13 15 15 12 10 8 6 6 8 10 10 10 15 14 10 5 4 4 4 4 6 6 4 2 1 4 6 6 6 3 0 1 2 1 0 1 1 3 4 4 3 7 18 17 6 3 4 4 5 5 5 5 4 3 3 4 5 6 7 1 -2 2 4 8 10 10 11 13 14 10 6 2 3 11 15 14 13 11 9 8 10 11 9 8 8 8 8 8 7 7 6 4 4 6 9 11 11 12 13 12 9 7 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 5 4 3 2 1 3 5 7 8 7 6 5 4 4 4 5 5 4 4 4 2 2 3 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 8 8 9 8 8 12 18 20 17 12 10 13 14 12 8 5 5 6 9 13 12 7 5 2 1 3 6 6 6 6 6 6 6 7 6 6 7 8 8 8 7 6 6 6 7 9 9 8 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 8 8 8 8 9 11 12 12 11 9 7 7 7 6 5 6 7 7 7 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 6 5 5 5 5 6 6 6 5 5 7 7 6 7 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 5 6 7 7 6 5 3 3 3 4 4 6 8 10 11 11 10 9 8 8 8 8 8 7 6 6 6 5 6 7 9 11 12 12 11 10 9 8 7 7 8 8 8 8 7 6 6 6 9 11 12 10 7 6 5 5 5 4 3 3 3 4 5 5 5 4 4 3 4 4 5 5 6 6 7 7 6 5 4 4 4 4 4 5 6 5 5 5 5 4 4 3 3 2 2 3 3 4 5 5 5 3 3 8 17 26 28 25 20 14 9 9 13 17 17 14 10 7 2 3 8 5 2 2 3 3 2 2 2 2 3 4 3 4 9 15 18 17 15 11 7 6 4 4 4 5 6 10 14 14 11 7 5 7 7 5 5 4 3 3 3 4 6 8 6 4 2 2 3 2 1 1 2 4 5 4 2 4 8 8 4 2 2 3 4 4 5 5 4 4 5 5 6 4 -3 -5 -2 1 1 3 5 8 15 21 18 10 5 6 10 14 15 15 14 10 8 9 11 9 7 6 7 8 8 7 6 6 6 4 5 8 11 11 10 11 13 12 9 8 9 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 4 4 2 1 1 3 6 8 8 7 6 5 4 4 4 4 5 4 5 4 2 2 3 4 4 4 4 4 4 4 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 5 6 6 7 8 7 7 7 7 6 6 6 6 6 7 7 7 6 6 5 6 5 6 7 7 7 7 7 7 7 9 16 20 16 11 9 11 15 14 9 5 4 1 -5 -5 4 8 7 4 3 2 4 6 6 6 7 6 7 7 7 7 7 7 7 6 7 7 5 6 7 8 9 9 7 6 6 7 8 7 8 7 7 6 7 7 7 7 7 7 6 7 7 7 8 8 7 7 6 6 6 6 7 8 8 7 8 9 10 12 12 11 10 9 9 9 8 7 7 7 6 6 6 6 6 5 5 6 7 7 6 7 7 7 7 8 8 7 6 6 6 7 7 6 5 5 6 7 7 6 5 6 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 6 6 5 4 3 3 3 3 3 5 7 10 11 11 10 9 8 8 8 8 9 8 8 8 6 5 5 7 8 10 11 12 12 11 10 9 8 9 9 9 9 9 9 7 6 6 7 9 10 9 7 6 5 5 4 4 3 3 3 4 5 5 5 4 4 4 3 4 4 5 5 6 6 7 7 8 7 6 5 4 4 5 5 5 5 4 3 3 3 3 2 2 3 4 4 5 5 5 4 3 7 17 27 24 16 12 9 3 -1 0 5 11 15 16 12 7 2 3 11 6 1 1 2 2 2 2 2 2 2 3 3 7 12 16 16 14 12 10 8 7 5 3 2 1 3 9 11 11 9 7 5 8 8 4 5 6 5 4 5 6 6 8 7 5 3 2 2 2 2 3 4 4 4 4 4 4 5 6 3 2 2 3 3 3 4 4 3 4 6 6 6 4 -1 5 9 4 1 1 2 6 12 14 11 10 11 15 18 17 15 14 11 8 8 10 9 5 5 7 7 7 8 7 6 6 5 4 6 9 12 10 9 12 15 10 6 7 9 8 7 6 6 7 7 6 6 5 4 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 4 3 2 1 1 2 4 6 8 8 7 5 4 4 4 5 5 5 5 5 4 2 2 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 7 11 19 17 10 6 7 13 17 13 7 5 5 1 -5 -8 -3 4 6 4 3 3 5 6 6 6 6 7 7 7 7 7 8 7 7 7 6 6 6 6 7 8 9 8 7 6 7 8 8 8 8 7 7 6 6 7 7 6 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 8 7 7 9 10 11 11 11 11 11 11 10 9 8 7 6 5 6 7 6 6 5 6 7 7 6 7 7 7 7 7 7 7 6 6 6 6 7 6 6 5 5 6 7 6 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 5 5 5 4 4 4 5 5 4 4 4 6 8 10 10 9 8 7 7 8 8 8 9 8 8 8 7 7 8 9 9 11 11 11 11 11 10 10 10 11 10 9 9 9 9 8 7 7 8 9 8 7 6 5 5 5 4 3 3 3 4 5 5 5 4 4 4 4 4 4 5 5 6 6 7 8 9 11 10 8 5 5 4 4 5 6 6 5 4 3 3 3 3 3 5 5 5 5 4 4 9 16 20 17 7 2 3 4 3 3 4 8 14 19 18 12 7 6 7 8 5 0 1 2 2 2 2 1 2 2 3 4 9 12 12 11 10 9 9 10 10 8 6 5 5 5 6 7 7 7 7 5 7 8 5 5 7 7 6 5 5 5 5 6 4 4 3 2 4 5 6 5 4 4 5 5 5 6 6 6 6 5 5 4 4 5 4 3 4 5 5 5 5 7 15 15 8 6 3 1 4 7 9 12 16 19 20 17 13 12 10 8 7 8 7 5 4 6 7 7 7 8 7 6 5 5 5 8 11 12 9 8 10 11 7 4 6 8 8 7 6 6 6 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 1 2 4 5 6 8 9 7 5 5 4 5 5 5 5 5 5 3 3 3 4 4 4 3 4 5 5 5 5 4 5 4 4 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 6 6 6 5 5 6 7 7 8 7 6 5 5 4 4 5 5 5 5 5 6 6 7 9 15 19 14 7 6 9 14 17 12 7 5 6 5 2 0 2 5 5 6 4 4 5 5 5 6 6 7 7 7 7 8 8 8 8 7 6 6 6 7 8 9 9 8 6 6 8 9 9 8 7 7 7 6 6 6 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 9 10 11 11 12 12 12 11 10 8 7 6 6 7 6 6 6 6 7 7 8 7 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 5 6 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 5 5 4 4 5 6 6 6 5 5 5 7 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 9 10 11 11 10 10 10 10 10 11 11 10 10 9 10 10 9 8 8 8 8 8 7 5 4 4 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 9 12 12 10 7 5 3 3 5 8 9 8 6 4 3 3 4 4 5 5 6 6 4 8 16 19 12 2 -3 -3 1 4 6 6 6 13 22 25 21 14 11 12 10 4 2 1 2 2 2 2 2 1 1 2 3 5 8 10 10 9 8 9 11 13 12 10 8 8 9 7 5 4 5 7 7 7 7 7 5 5 5 6 8 8 7 5 4 6 4 5 5 2 2 5 6 4 4 6 6 6 5 4 6 9 10 8 7 5 5 7 6 5 5 4 4 5 6 10 17 14 8 7 4 3 3 4 9 14 18 18 15 11 9 8 8 8 7 5 3 3 5 6 6 6 7 7 7 6 5 5 7 11 12 11 8 8 9 8 7 7 7 8 8 7 6 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 3 4 6 6 7 8 8 6 5 4 5 5 5 5 5 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 7 6 7 6 5 5 5 6 7 8 7 7 6 5 5 4 3 3 4 5 5 5 5 5 6 7 10 17 18 11 7 6 10 15 16 12 7 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 8 7 6 8 10 10 9 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 6 7 8 7 7 7 8 8 9 10 12 13 13 12 11 9 8 7 7 7 6 6 6 7 7 8 9 9 8 7 7 6 5 5 5 5 5 5 6 7 7 7 7 7 6 6 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 8 6 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 6 6 7 10 11 10 7 5 3 4 6 9 12 11 7 5 3 3 4 5 5 6 6 5 5 11 15 10 3 -2 -2 -0 4 7 8 8 7 16 20 18 14 10 12 15 11 3 2 2 2 2 2 2 1 1 2 4 4 5 6 9 10 9 8 7 8 11 12 11 9 9 10 9 5 4 6 8 8 9 5 3 3 4 5 6 7 8 8 6 5 5 4 5 6 2 1 4 5 5 6 8 8 7 5 3 4 10 12 10 7 4 6 9 10 8 7 5 5 6 9 13 17 14 6 4 5 6 3 5 10 13 14 12 9 8 8 8 7 8 7 3 3 5 5 5 3 5 7 7 6 6 5 5 9 12 12 9 8 9 8 7 10 12 9 7 7 8 6 5 6 6 6 6 5 4 4 4 5 5 5 5 5 6 5 5 5 6 5 4 2 1 2 3 3 4 5 6 6 7 8 7 6 5 5 5 6 5 5 5 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 5 5 6 7 7 7 7 6 5 4 3 3 4 4 5 5 5 5 5 5 7 11 17 16 10 7 8 12 16 15 10 7 6 5 5 5 5 5 4 3 1 3 4 4 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 7 5 7 10 12 10 7 6 5 5 6 6 7 7 7 6 6 6 6 6 6 5 6 6 6 7 7 7 6 6 6 6 6 7 7 7 8 7 7 8 8 9 11 13 14 14 13 11 8 8 8 8 7 6 6 6 7 8 9 9 8 8 8 7 6 5 5 5 5 5 6 6 7 8 8 7 6 6 7 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 4 4 4 5 6 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 11 12 12 12 11 8 5 4 4 4 5 5 5 6 5 5 5 4 4 3 3 4 4 5 5 6 7 6 6 6 6 7 9 9 7 5 4 4 6 8 11 11 8 6 5 5 5 6 6 6 6 4 6 10 7 2 -0 -1 1 4 7 9 9 9 9 10 7 5 3 2 9 11 7 3 3 3 3 3 2 2 2 4 5 7 6 4 6 8 10 11 9 6 5 6 9 10 10 10 10 9 6 6 8 7 8 9 6 3 2 3 5 6 5 7 10 8 6 5 6 5 4 5 4 3 4 6 7 8 8 7 6 4 5 10 13 11 6 4 4 9 11 11 11 11 9 8 10 15 16 11 3 1 4 5 3 6 10 11 9 7 7 8 8 8 8 8 7 5 6 6 5 4 3 5 7 8 6 6 5 6 10 12 10 8 9 9 6 5 12 16 11 5 6 7 6 5 5 6 7 5 4 4 5 5 5 6 5 5 5 5 6 6 6 5 4 2 1 2 3 3 4 4 5 5 6 7 8 8 6 5 5 7 7 6 6 5 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 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 4 3 4 4 5 5 5 5 5 4 5 10 15 15 14 11 9 10 14 16 12 7 6 6 7 6 6 5 5 6 4 -0 1 3 4 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 8 6 5 8 12 12 9 6 5 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 7 7 7 8 9 11 14 16 15 12 10 9 10 10 9 7 7 6 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 8 6 6 5 6 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 4 5 6 6 7 6 5 5 5 5 4 4 3 3 3 5 6 7 7 7 6 6 6 7 8 8 7 6 6 6 7 6 6 6 6 6 6 6 7 8 9 9 10 10 9 9 10 12 13 14 13 11 8 6 4 4 4 5 5 7 7 6 4 4 4 3 3 3 4 5 5 6 6 6 6 6 5 6 7 7 7 5 4 5 5 7 9 10 9 8 7 7 7 6 7 6 5 5 6 6 4 1 0 1 5 8 10 10 11 11 10 5 4 4 1 2 7 8 6 4 4 4 4 3 2 2 4 7 10 14 11 6 6 7 10 13 12 9 6 4 6 9 9 9 10 10 8 7 6 5 6 7 7 5 4 4 4 6 6 6 8 8 6 7 8 7 6 8 7 4 3 5 5 6 5 6 7 7 8 11 12 11 7 3 3 7 9 9 13 16 15 11 10 13 12 5 1 1 2 3 4 8 11 10 7 6 7 8 8 7 8 8 7 6 6 4 3 4 6 8 8 7 7 6 5 7 10 10 8 8 8 7 4 7 17 18 9 3 5 7 7 5 6 6 6 5 4 4 5 6 6 5 5 5 5 5 6 6 6 5 3 2 2 3 4 4 4 4 5 5 6 7 7 7 6 5 6 8 7 7 6 6 6 5 6 5 4 4 4 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 6 5 6 6 6 5 6 6 6 6 5 6 6 6 6 6 6 6 5 4 3 4 4 5 4 4 4 4 4 3 5 13 16 12 11 12 10 11 14 15 10 6 6 6 6 6 6 6 6 8 8 5 2 3 5 5 6 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 9 7 6 7 10 12 10 7 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 6 5 6 7 7 8 8 7 7 7 8 9 11 14 16 15 13 11 10 10 11 10 8 7 7 6 6 7 8 8 8 9 9 9 8 8 8 7 7 7 8 9 8 7 6 6 6 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 4 5 6 7 7 6 5 5 5 4 4 4 4 4 4 5 6 7 7 7 8 7 7 7 8 7 7 6 5 5 5 5 5 6 6 6 6 6 6 7 8 9 10 9 9 9 9 10 12 13 14 13 11 9 6 5 4 4 5 6 7 6 5 5 5 4 3 3 3 4 5 5 6 6 6 7 6 6 6 7 7 6 5 5 7 7 8 7 9 9 9 8 8 7 7 8 9 7 5 3 1 0 1 4 7 7 9 10 11 12 11 10 10 9 9 12 14 13 9 6 4 4 4 3 1 2 5 10 14 17 16 11 7 5 6 9 11 10 7 5 5 8 8 8 9 10 8 7 6 5 5 6 7 8 8 7 6 6 5 0 2 7 8 8 10 10 9 9 9 6 4 3 4 3 5 6 7 8 9 11 12 11 7 4 4 5 5 6 11 16 14 10 9 11 8 4 2 2 3 5 8 13 14 10 7 7 8 6 5 6 7 8 6 5 6 1 1 5 8 9 8 7 7 7 8 9 9 8 7 8 7 6 5 10 15 13 8 5 5 6 6 6 5 6 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 5 4 3 3 4 5 5 5 5 5 5 5 7 7 6 6 6 6 7 7 8 9 9 9 8 7 6 5 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 6 6 6 6 6 5 6 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 3 2 5 13 14 10 11 11 10 12 15 14 8 5 6 6 5 5 5 6 6 8 10 7 5 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 8 6 5 7 11 11 8 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 8 7 7 7 9 11 14 16 16 13 11 10 11 11 10 9 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 2 3 4 5 6 7 7 7 6 6 5 5 5 5 5 5 5 6 7 7 8 8 9 9 9 8 8 8 7 7 6 5 4 5 5 6 6 6 6 6 6 6 7 8 9 9 9 10 10 10 10 11 12 13 12 11 9 7 5 4 4 6 7 6 6 5 5 5 4 3 3 3 4 5 5 6 6 7 7 6 6 6 6 5 6 7 9 9 7 6 7 8 9 8 8 7 8 10 11 6 2 0 0 1 2 4 5 5 7 9 11 13 14 14 12 12 16 19 17 15 9 4 3 2 2 2 1 1 3 9 13 15 16 14 8 5 4 5 8 8 8 7 6 7 7 6 8 9 9 7 6 6 6 6 7 9 10 10 9 7 6 2 2 7 8 7 8 8 9 10 9 9 8 5 5 6 7 7 7 7 7 10 13 11 6 4 4 5 5 6 9 10 7 5 7 11 9 5 3 3 6 10 12 15 13 9 7 7 7 4 4 6 7 6 5 5 4 -0 1 6 8 9 8 7 6 8 9 10 9 7 7 8 6 6 7 9 8 9 12 9 6 5 4 5 5 5 5 5 6 6 7 7 6 6 5 5 5 6 6 6 6 6 4 4 4 5 5 5 6 6 5 5 5 7 7 6 5 5 6 7 7 9 10 11 10 9 8 7 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 6 5 5 5 5 4 5 5 5 4 5 5 4 4 4 5 5 4 4 3 4 11 14 11 12 10 9 12 16 13 6 5 5 5 6 6 6 6 6 8 9 7 5 5 6 6 7 7 7 7 7 8 7 8 8 8 8 8 7 7 8 9 8 6 5 8 10 8 5 5 5 6 5 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 4 4 5 5 6 7 8 8 9 8 8 7 7 8 11 15 17 15 13 12 11 11 11 10 10 9 9 8 8 8 9 9 8 7 7 7 8 7 7 7 7 7 8 9 9 8 8 7 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 8 6 5 4 4 5 6 7 8 8 7 5 6 6 6 6 6 6 6 7 8 9 10 10 10 10 10 8 8 8 8 8 7 7 7 7 6 6 6 5 6 6 6 6 7 8 8 9 10 11 10 8 7 7 9 10 11 10 9 8 6 5 5 6 6 6 6 6 6 5 4 3 3 4 5 5 6 6 7 7 7 7 6 5 5 7 10 12 10 7 5 5 6 7 7 6 5 5 3 2 1 1 1 2 3 4 4 4 4 6 10 15 17 18 15 10 13 17 13 9 7 4 1 1 1 1 1 -0 -1 1 5 8 10 12 13 9 6 6 6 7 7 7 8 7 6 5 6 7 8 8 8 6 6 6 5 6 6 7 8 9 10 10 8 5 6 6 6 6 6 8 10 10 11 13 13 10 7 7 7 7 6 5 9 13 11 5 3 4 5 6 8 8 5 2 3 6 11 10 5 3 4 7 10 11 10 8 7 7 7 6 6 7 7 6 6 6 6 2 -1 3 7 9 10 8 6 6 9 11 11 9 8 7 7 6 7 9 8 6 9 10 9 10 10 5 4 4 4 4 6 7 7 7 6 6 6 5 5 6 6 6 6 6 6 5 5 4 5 5 6 6 6 6 5 6 7 6 6 5 6 6 7 8 9 11 11 10 9 8 7 5 5 6 6 6 6 6 6 5 5 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 7 7 6 6 5 5 4 4 5 5 5 5 4 5 5 5 4 5 5 5 5 4 3 5 10 14 13 10 7 8 12 16 10 5 5 5 6 6 6 6 6 7 8 6 6 6 5 6 7 7 7 7 7 7 7 7 8 8 8 7 8 7 8 9 9 7 5 5 8 9 7 5 6 6 6 6 6 5 5 5 4 4 4 4 5 5 6 6 5 5 5 6 6 7 6 6 5 5 5 4 4 5 5 5 6 7 8 9 9 9 8 7 6 9 13 15 15 14 12 10 11 11 11 12 11 11 10 10 9 10 10 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 14 12 9 6 4 3 4 5 7 7 7 6 5 5 6 6 5 5 5 6 7 8 9 10 10 9 8 8 7 8 10 11 11 11 10 8 6 5 5 5 5 5 5 6 6 7 8 9 10 11 9 6 4 4 5 6 8 9 10 10 9 8 6 6 5 5 6 7 8 7 5 4 3 3 4 5 6 7 8 8 8 8 6 5 5 7 11 12 9 7 5 5 6 5 6 5 4 2 -0 0 2 2 3 4 5 5 5 4 4 7 14 21 23 19 14 15 22 20 8 1 0 1 1 0 1 1 0 -1 0 3 5 8 9 10 11 8 7 7 7 8 8 8 8 7 6 5 5 5 6 7 6 4 5 6 6 6 4 2 2 5 8 10 10 8 5 6 7 8 8 8 10 12 11 13 15 13 8 5 6 7 6 6 8 13 12 6 3 3 5 7 9 7 4 4 3 3 6 7 4 4 6 7 8 8 6 6 8 9 8 6 7 7 6 6 9 8 5 1 0 3 8 11 9 5 4 7 9 12 12 9 7 7 8 8 8 8 7 6 6 6 8 15 14 6 4 4 3 3 5 7 7 7 7 6 6 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 6 5 5 6 6 8 9 10 11 10 9 8 7 6 6 5 6 6 6 6 6 6 6 6 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 9 14 11 7 6 9 16 16 8 5 6 5 5 5 5 5 4 5 6 5 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 6 4 5 9 9 6 5 6 6 6 6 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 4 4 4 5 5 6 7 9 10 10 9 8 7 8 10 12 13 13 12 10 10 11 12 13 14 14 13 12 12 11 11 11 11 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 14 12 10 8 4 4 7 13 15 12 11 11 10 8 6 6 7 11 13 15 16 16 13 13 15 19 19 18 17 15 11 2 -0 -1 1 7 11 12 11 11 10 13 12 11 13 14 14 13 12 12 13 13 12 11 11 11 11 12 12 14 15 16 15 15 13 12 11 10 11 13 12 12 10 7 7 7 8 10 12 12 10 8 6 5 5 6 9 12 13 13 14 15 15 15 14 12 10 9 9 9 10 12 12 13 14 14 13 11 10 10 10 10 12 12 12 12 12 11 11 11 12 13 12 12 13 14 15 14 13 12 12 11 11 10 11 12 13 14 13 13 12 12 12 11 10 8 7 9 13 14 10 4 5 12 15 15 13 12 13 14 14 13 13 12 12 13 14 15 14 13 13 13 13 13 12 12 12 12 12 11 11 12 12 12 11 11 12 14 14 13 12 13 13 15 16 16 16 14 12 12 13 13 13 14 14 13 13 13 14 13 12 11 12 13 15 14 13 13 13 12 12 13 13 12 12 12 12 13 13 13 13 13 12 13 12 13 14 14 14 14 13 13 15 15 14 12 10 9 11 13 12 11 11 11 11 12 13 14 14 13 13 13 13 13 12 12 12 12 12 13 13 13 13 14 14 14 14 13 12 12 12 12 11 10 11 11 12 13 13 12 12 11 11 12 12 11 10 11 10 10 10 10 9 9 9 9 9 10 10 10 10 11 10 11 14 15 13 11 10 11 10 10 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 11 11 12 12 12 11 12 13 12 13 15 16 16 15 15 15 15 15 15 15 13 12 10 11 12 12 12 13 13 12 13 14 15 14 12 9 10 13 11 9 9 10 10 10 9 9 9 9 10 12 12 10 6 6 10 18 21 17 14 13 13 13 13 14 14 13 12 12 12 11 11 12 12 12 12 12 12 13 14 14 14 14 14 14 13 13 13 13 14 15 14 14 15 16 18 19 18 15 12 11 12 13 13 13 13 13 11 10 9 9 10 11 12 13 13 15 15 14 14 13 13 13 12 12 12 13 14 nan
nan nan nan nan nan nan nan 10 14 13 11 10 10 11 10 8 7 10 12 14 16 15 14 12 12 14 17 18 16 12 8 4 0 0 3 6 10 12 13 14 15 15 14 12 12 12 12 13 14 14 14 14 13 12 10 9 9 10 10 11 12 13 14 14 13 12 11 10 10 11 12 12 11 9 7 7 8 10 14 15 14 12 9 7 5 5 6 9 11 12 13 14 15 16 16 15 13 10 9 10 10 11 12 12 13 13 13 12 11 11 10 11 11 12 12 12 12 11 11 12 11 11 12 12 13 13 13 15 14 14 13 12 11 11 11 12 13 13 14 13 12 12 11 12 12 11 10 10 11 13 12 10 8 6 8 11 13 14 13 12 13 14 14 14 12 12 12 13 14 14 14 13 13 12 12 12 12 12 12 12 11 12 12 12 11 11 11 12 14 14 14 13 12 13 14 15 16 16 15 13 12 13 13 13 13 13 13 13 13 12 12 10 10 11 12 14 14 13 13 13 14 14 13 13 13 12 12 11 11 12 14 14 14 13 12 12 12 14 15 15 13 12 13 15 15 16 15 13 11 12 13 12 10 10 10 11 11 13 15 15 13 12 12 12 12 12 13 12 12 12 11 11 11 13 13 13 15 14 13 12 12 12 12 11 11 10 10 11 12 12 12 11 10 10 10 10 10 10 10 11 10 10 11 10 10 11 11 11 11 11 11 11 11 10 8 9 11 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 11 11 10 10 11 11 11 11 12 12 11 12 13 12 12 14 15 15 13 13 13 14 15 15 14 12 9 8 9 11 12 13 13 13 13 13 13 14 14 14 14 10 9 15 16 14 12 12 11 10 9 10 10 10 10 11 14 16 19 20 20 20 20 17 15 15 14 13 12 11 11 12 11 10 10 12 12 13 13 13 13 12 12 13 14 14 14 13 13 14 14 14 15 15 14 13 12 13 16 19 20 20 15 10 10 10 11 11 11 12 12 12 11 10 9 11 12 12 13 13 14 15 15 14 14 14 14 13 13 13 13 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 9 11 12 13 14 15 14 13 12 12 15 19 20 14 9 6 5 4 4 7 8 10 11 13 16 18 17 13 11 10 11 12 13 14 15 15 14 14 13 12 10 10 10 11 13 14 15 14 14 13 12 11 10 10 10 9 8 8 8 7 7 8 10 13 16 16 14 11 7 5 5 7 9 10 12 13 13 15 16 16 14 12 10 9 9 10 11 12 12 12 12 13 13 12 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 13 13 14 15 14 13 12 12 12 12 13 13 13 13 13 12 11 10 10 11 14 15 13 12 12 12 12 11 10 10 12 14 13 12 12 13 14 14 14 13 13 13 13 13 14 13 13 13 12 12 13 12 12 12 11 11 11 12 11 11 10 10 12 14 14 13 13 11 9 10 14 22 23 18 15 13 12 12 12 12 11 11 12 13 13 12 11 11 10 10 12 12 12 13 14 14 14 14 13 12 12 11 11 10 10 11 14 15 14 13 11 10 11 12 14 14 12 12 13 13 13 14 15 14 13 14 14 13 11 9 7 8 12 16 17 15 14 12 12 12 13 13 12 12 12 13 12 12 12 12 13 14 13 13 12 12 12 12 12 12 11 10 10 10 11 11 11 11 10 10 9 10 10 11 11 11 12 12 11 11 11 12 12 13 12 12 12 13 13 11 8 8 8 8 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 11 10 11 11 11 11 11 10 10 11 11 10 10 11 10 10 10 9 9 10 10 10 10 10 10 11 11 11 12 12 12 11 11 12 11 12 12 13 13 14 15 14 13 13 14 15 12 10 7 3 3 6 10 12 12 13 14 13 13 13 13 14 15 14 16 14 11 13 17 18 15 13 11 11 11 11 11 12 11 11 14 17 20 20 18 16 15 15 15 15 13 12 13 12 12 12 12 11 12 12 13 14 14 13 12 12 12 13 14 14 13 13 13 14 15 15 15 14 14 13 13 14 16 18 19 17 12 11 11 11 11 10 12 13 13 12 10 10 10 11 12 13 14 15 15 15 14 14 14 14 14 14 14 13 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 11 12 16 20 23 19 11 7 8 10 9 6 3 6 8 10 12 14 15 14 11 9 10 13 15 15 15 15 15 14 14 14 14 14 13 12 13 13 14 14 14 13 13 12 12 11 10 9 9 7 6 6 6 7 8 10 14 17 17 14 12 9 7 5 6 8 10 11 12 13 13 14 15 14 11 10 9 9 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 13 13 13 14 14 14 13 12 12 12 13 13 13 13 12 12 11 9 8 10 13 14 14 12 11 12 13 12 12 11 12 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 14 13 12 13 13 12 12 11 12 12 12 11 11 11 10 10 11 12 13 13 12 10 7 5 8 18 26 25 22 17 14 12 12 11 11 11 11 12 13 13 13 13 11 11 11 11 11 12 13 13 14 14 13 13 12 11 11 10 9 8 11 14 14 13 11 10 8 9 11 14 14 12 12 11 10 12 15 13 12 13 13 14 13 12 8 6 7 11 15 16 16 16 15 13 12 12 13 13 13 13 14 13 12 12 13 13 12 12 12 11 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 10 11 12 12 12 12 12 12 11 11 11 12 13 13 14 12 12 13 12 11 9 8 8 8 7 7 8 8 9 10 10 10 10 9 10 10 10 11 11 10 10 10 10 10 11 10 10 10 10 11 10 10 10 10 11 10 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 13 10 6 3 2 3 7 11 13 13 14 14 13 13 14 15 15 15 15 15 17 17 16 16 17 16 13 12 13 12 12 13 12 12 12 12 12 13 13 14 13 13 13 14 15 15 14 13 13 12 11 12 13 13 13 13 13 14 14 12 11 11 12 14 15 15 14 14 13 13 14 15 14 15 15 14 15 16 17 17 16 13 11 11 12 13 12 12 13 12 11 10 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 13 13 12 12 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 10 10 8 3 2 8 10 12 12 12 12 12 10 11 15 16 17 16 15 15 14 14 14 15 15 15 15 14 13 13 13 13 13 13 12 12 11 10 10 9 9 8 7 7 8 9 10 13 16 19 19 17 13 10 8 6 6 7 9 10 11 12 12 13 14 13 11 10 9 9 10 11 12 12 13 13 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 14 13 12 13 13 13 13 13 13 12 12 11 10 9 10 11 12 13 12 12 11 12 13 13 12 12 13 12 13 14 14 14 15 15 14 13 13 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 11 11 12 12 12 10 5 4 7 15 21 25 24 20 15 12 12 11 11 11 12 13 13 14 14 14 13 12 11 11 11 13 13 12 13 13 13 13 12 12 12 11 10 11 12 13 13 12 10 9 9 10 12 13 14 13 11 10 12 14 13 11 11 12 12 15 16 13 8 7 7 10 13 14 16 15 14 13 12 12 13 13 12 13 14 13 13 13 12 13 12 11 11 12 12 12 12 12 11 12 11 11 11 11 11 12 13 12 11 12 13 12 12 13 12 12 12 12 12 12 12 12 12 12 10 11 12 12 11 11 11 10 8 7 7 7 8 9 10 11 10 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 10 11 11 11 10 11 11 11 10 10 10 10 11 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 13 13 14 15 15 14 12 9 7 8 10 12 14 15 14 14 14 14 14 14 15 15 16 16 16 17 18 18 17 16 15 13 12 12 13 14 13 13 13 13 13 12 12 12 12 13 13 13 13 14 14 14 14 14 13 12 12 13 13 12 14 14 14 13 13 12 11 12 14 15 15 15 14 12 12 12 13 13 13 14 14 15 16 16 16 17 15 12 12 13 13 13 13 13 13 12 11 10 11 12 13 13 13 13 13 12 13 13 14 14 14 14 14 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 15 15 13 12 13 16 17 16 16 15 14 13 13 14 14 15 15 15 15 14 13 12 12 12 12 12 12 11 11 10 11 11 11 11 11 11 12 12 15 18 21 22 21 18 14 10 7 6 7 8 9 9 9 11 12 13 14 14 11 10 9 10 10 10 12 13 13 13 14 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 13 14 13 13 13 13 13 13 12 12 13 12 11 11 11 11 11 12 13 12 11 12 12 12 12 13 13 12 12 13 13 13 13 14 14 14 13 13 12 11 12 12 13 13 13 13 12 12 12 12 12 12 12 13 13 12 12 12 11 10 10 10 11 12 13 12 7 4 5 10 16 27 27 19 13 13 13 12 12 11 12 13 13 14 14 13 13 11 10 11 12 13 11 11 12 13 15 14 12 14 14 13 13 13 12 12 12 11 10 10 10 11 12 13 12 11 12 13 13 12 12 12 12 12 13 14 15 13 10 8 8 9 11 13 14 14 13 12 11 12 13 13 14 14 13 13 13 13 13 13 12 11 11 12 12 12 13 12 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 10 11 12 13 13 12 13 13 12 11 10 10 9 8 9 10 10 10 10 9 10 10 9 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 12 11 10 11 11 11 11 11 11 12 12 12 13 13 13 14 14 13 13 12 12 13 14 15 15 13 12 11 11 11 12 15 16 15 15 14 14 14 14 14 14 14 15 16 17 16 17 18 18 17 15 14 13 14 14 14 13 13 13 13 13 12 12 12 11 11 13 13 13 13 13 13 13 14 13 12 12 13 12 13 13 15 15 15 15 14 13 12 13 15 16 15 13 12 12 12 13 13 13 13 12 13 14 16 17 17 16 14 14 12 12 12 13 13 13 13 12 10 11 12 12 12 13 14 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 11 12 13 14 15 16 17 16 14 13 13 12 12 12 11 11 11 11 11 11 11 12 12 13 14 15 16 17 20 22 23 22 21 17 12 9 6 6 8 9 9 10 10 11 12 13 15 14 12 11 10 10 9 11 12 12 13 13 14 14 14 14 13 11 10 10 10 10 11 11 11 10 10 10 11 11 12 12 12 13 13 14 14 13 12 12 11 12 12 11 12 12 12 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 13 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 12 13 14 13 10 5 2 7 24 33 24 18 14 13 12 12 12 12 12 13 13 14 14 13 13 13 13 13 12 11 9 8 12 15 15 13 13 14 14 15 15 14 12 10 10 11 11 11 11 12 12 11 10 10 12 12 12 11 11 11 11 12 13 14 13 11 10 9 9 9 10 11 12 12 12 11 12 13 13 13 14 14 14 14 14 14 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 15 15 15 15 16 16 14 13 14 13 12 11 10 11 11 12 13 13 13 13 13 12 12 11 11 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 12 12 12 12 12 11 10 11 11 11 12 11 12 13 13 14 14 14 15 14 13 12 11 11 13 14 13 11 10 10 11 12 13 13 15 16 15 14 13 13 14 13 14 14 15 16 16 16 16 16 17 17 17 16 16 15 14 14 14 13 13 12 12 12 11 10 11 12 12 12 12 12 12 12 13 12 12 13 13 13 14 14 14 14 14 14 14 15 14 13 13 14 15 14 13 12 12 13 12 12 13 13 14 14 13 13 14 15 14 14 14 14 11 10 11 11 12 12 12 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 11 11 11 12 13 14 13 11 10 10 12 12 12 12 11 10 8 7 8 9 8 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 1 1 2 3 4 4 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 26 36 32 25 21 19 18 11 1 2 13 15 4 0 3 16 32 45 54 48 33 20 14 9 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 7 8 13 25 42 64 82 96 101 98 93 77 53 36 27 24 31 24 8 12 13 15 16 18 14 0 7 8 14 15 13 21 40 57 69 84 113 130 131 118 96 77 70 75 81 87 81 68 65 86 113 124 126 129 131 135 139 146 155 157 158 167 177 177 173 175 168 157 142 132 132 137 139 141 148 160 155 145 149 156 152 146 nan nan nan nan nan nan nan nan nan nan nan nan 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 11 11 12 12 12 13 13 13 15 15 14 13 12 10 9 9 9 9 8 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 32 42 32 24 20 18 16 14 3 4 11 12 5 3 4 7 22 42 54 49 34 16 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 20 25 32 37 48 66 88 117 132 112 72 36 17 10 5 3 5 2 0 0 1 2 4 4 10 2 1 3 6 12 16 14 20 32 53 74 107 136 144 138 121 100 87 89 99 103 95 88 90 100 109 116 122 126 128 131 133 133 138 142 147 153 162 166 162 159 156 150 136 124 126 133 140 142 145 152 154 156 161 169 170 163 nan nan nan nan nan nan nan nan nan nan nan 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 9 10 10 10 10 11 13 14 14 16 16 16 15 14 13 13 12 12 10 8 6 6 5 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 1 1 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 25 29 23 20 18 16 15 12 6 5 7 8 6 6 6 6 16 36 52 51 37 15 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 2 12 21 29 36 40 47 59 78 101 96 56 25 8 0 0 0 0 0 3 2 1 1 0 0 0 2 1 6 10 10 14 16 13 10 15 46 83 114 142 151 144 134 120 104 98 104 110 108 103 101 103 106 111 117 123 127 129 129 122 121 130 142 148 148 145 141 137 140 142 140 133 130 134 139 137 131 128 131 139 148 158 167 167 164 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 8 9 9 10 10 10 11 13 14 15 16 15 15 16 16 16 15 14 12 9 7 6 7 7 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 11 7 10 10 8 7 8 7 6 6 6 6 8 8 8 13 29 45 47 37 18 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 1 6 11 16 18 21 28 34 40 52 67 69 45 18 6 1 0 0 0 0 0 1 1 1 1 0 0 0 0 2 7 9 8 7 7 11 22 45 85 123 137 147 149 139 129 125 115 102 101 111 115 114 109 105 103 104 111 118 123 126 126 120 116 122 132 138 138 134 128 126 129 135 138 138 136 138 141 138 121 106 107 117 130 143 154 156 158 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 6 6 7 7 8 9 9 9 10 11 12 13 14 14 14 15 16 16 16 14 13 12 11 10 9 9 10 9 9 7 5 3 1 1 0 0 0 0 0 0 0 0 0 0 1 1 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 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 3 1 2 4 6 8 8 6 6 6 7 8 9 9 11 21 31 33 27 18 10 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 2 7 23 33 35 31 22 15 21 28 42 51 38 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 25 14 21 45 83 123 144 138 139 140 130 119 120 116 102 95 99 107 114 114 112 108 106 108 114 118 121 122 121 119 118 121 123 119 114 113 115 121 128 134 135 133 135 142 144 136 117 105 108 118 131 145 154 155 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 5 5 6 7 8 9 9 9 10 10 12 13 14 14 15 16 15 14 13 13 13 13 12 12 12 12 12 12 10 8 5 3 2 1 0 0 1 1 2 2 2 2 2 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 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 6 4 2 4 6 8 9 8 7 7 8 8 9 9 10 14 16 15 13 11 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 30 52 65 69 62 47 31 24 25 31 26 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 22 47 55 46 50 79 111 131 132 125 124 124 117 106 104 104 98 93 91 95 103 111 115 116 114 111 112 115 117 118 120 120 118 118 118 111 100 96 102 109 116 121 123 124 128 138 148 148 134 112 107 111 119 134 148 152 nan nan nan nan nan nan nan nan nan 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 7 6 5 4 4 5 6 7 8 8 8 8 9 10 12 13 14 16 16 16 15 14 14 14 14 14 14 13 14 14 14 12 9 7 5 4 2 2 3 4 4 5 5 5 5 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 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 5 6 6 7 8 8 8 7 7 8 8 7 6 7 8 7 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 40 67 80 86 89 86 75 63 48 35 23 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 24 31 47 66 64 67 71 96 113 118 116 111 108 105 98 87 82 83 86 90 91 91 95 103 111 117 119 115 110 109 112 116 119 120 118 118 117 110 100 94 97 102 105 109 111 114 117 130 149 154 143 122 108 105 110 122 136 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 15 13 11 8 5 4 4 4 5 6 7 8 8 8 8 9 10 11 13 15 17 18 18 18 18 17 16 16 15 16 17 17 14 11 9 8 8 8 7 6 6 8 8 8 8 7 6 5 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 4 4 4 5 4 4 4 4 5 4 4 4 4 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 4 8 8 8 7 8 7 4 3 4 3 2 1 2 2 2 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 23 60 85 87 83 81 79 76 73 65 42 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 29 45 68 66 60 56 57 70 83 93 94 92 89 85 78 68 60 60 67 78 90 94 94 98 105 112 118 117 109 100 103 115 120 121 120 118 115 108 100 97 103 107 109 112 110 109 110 119 138 154 151 132 109 96 100 111 123 133 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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39 41 44 47 49 47 44 44 47 52 52 50 49 50 53 56 57 56 52 50 52 53 44 23 13 11 10 7 3 1 1 4 11 18 21 20 16 11 10 12 18 27 32 28 21 19 25 35 46 54 57 46 29 13 5 14 40 64 65 49 35 32 35 36 36 37 32 21 18 27 36 41 53 73 91 92 81 65 50 39 33 32 31 29 29 30 32 35 39 43 44 40 31 20 10 6 6 7 5 2 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 1 3 6 8 8 8 8 7 6 6 8 8 8 7 6 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 22 33 29 15 3 0 0 0 3 14 21 25 31 44 54 56 59 60 55 48 39 33 30 28 29 32 37 46 57 65 62 53 47 48 52 58 64 71 76 77 76 75 74 74 74 73 70 64 58 52 50 45 39 36 36 38 46 52 54 57 60 65 73 82 90 96 98 96 88 74 60 48 39 33 28 27 25 22 18 15 12 11 11 11 12 16 22 27 29 29 27 24 22 22 26 32 43 nan nan nan nan nan nan nan nan nan nan nan
32 33 35 37 39 42 41 40 42 47 49 48 46 44 45 48 50 50 50 52 54 57 52 36 17 9 8 5 3 1 1 3 7 12 16 17 15 13 18 27 36 41 39 29 19 20 29 36 42 53 65 60 43 24 8 7 29 59 62 46 31 27 32 36 37 38 40 34 25 22 21 22 32 57 80 85 79 66 53 42 36 36 36 34 34 34 35 37 39 40 37 30 19 8 2 3 9 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 2 4 6 8 8 8 7 6 6 6 8 8 8 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 14 27 33 23 8 1 0 1 3 14 22 30 42 52 51 45 42 44 40 35 31 28 26 26 28 31 35 39 48 64 68 68 68 70 74 80 86 91 92 90 86 80 75 71 70 70 68 64 58 50 44 41 33 30 30 32 33 36 40 45 52 56 61 67 75 84 92 97 98 95 85 73 62 54 46 38 34 29 23 17 12 10 9 8 8 10 13 16 19 21 22 22 19 17 17 17 19 nan nan nan nan nan nan nan nan nan nan nan
19 21 21 21 22 25 28 31 34 38 42 44 44 44 44 45 44 41 39 39 41 49 53 46 28 13 9 7 5 3 2 2 4 7 10 14 17 18 27 43 50 48 40 28 22 26 34 35 32 37 56 62 51 32 15 9 24 53 57 42 27 23 28 35 38 42 48 54 45 26 17 13 15 29 48 64 70 68 60 50 44 42 41 40 40 41 40 39 37 35 29 21 12 4 3 9 15 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 6 8 8 8 6 6 6 7 8 8 7 7 6 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 21 30 28 18 6 4 8 12 17 23 31 39 40 34 31 30 29 28 27 26 26 25 27 29 31 33 35 39 57 66 71 74 76 77 80 84 86 84 81 78 75 72 67 65 66 66 64 60 53 44 36 28 22 22 23 24 25 26 29 36 44 49 53 56 64 74 82 90 95 94 92 86 81 76 68 58 49 42 34 24 16 10 8 6 6 7 8 10 12 13 15 16 17 17 14 11 8 nan nan nan nan nan nan nan nan nan nan
12 14 12 10 9 10 15 19 22 27 32 37 41 44 47 48 45 38 31 24 22 30 43 46 34 19 13 11 10 7 5 3 3 4 7 12 17 19 21 35 43 43 35 28 27 32 36 34 27 28 45 58 53 36 19 13 25 48 56 42 27 22 26 32 37 41 47 55 54 39 19 8 4 9 29 52 66 73 71 64 55 49 48 48 48 48 46 42 38 35 28 20 11 8 9 16 18 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 1 2 3 4 6 8 8 7 6 5 6 7 8 8 7 6 5 5 4 3 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 4 8 14 21 27 28 26 23 23 23 24 27 30 32 30 26 24 24 23 22 22 22 23 26 29 32 33 34 34 40 54 65 70 72 71 68 66 63 63 64 63 62 62 64 64 63 63 64 64 64 58 49 39 30 21 16 17 18 19 19 19 22 28 35 40 44 48 53 58 64 76 82 86 87 86 85 82 77 68 63 61 54 41 27 19 14 8 6 5 5 6 7 9 11 13 15 16 13 9 nan nan nan nan nan nan nan nan nan nan
14 14 12 11 11 12 13 14 15 16 19 24 31 37 43 46 45 41 34 25 18 16 26 35 33 24 19 16 14 10 7 5 3 2 4 9 14 17 17 18 26 34 34 32 34 38 37 31 26 32 45 57 50 33 18 14 28 50 58 47 31 21 24 29 34 38 45 53 56 44 18 5 1 3 19 42 63 76 80 76 67 60 58 58 57 54 50 46 42 37 32 25 18 14 13 19 17 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 3 2 1 1 1 2 2 3 4 6 7 7 6 5 5 6 6 7 6 6 5 4 4 2 2 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 3 6 9 12 15 26 35 40 37 34 32 31 29 26 22 20 20 21 21 21 20 20 22 26 31 35 37 36 35 37 49 62 68 70 68 64 59 55 53 53 52 52 53 56 61 63 62 62 63 63 60 53 43 33 24 15 13 12 13 13 13 14 16 19 23 28 33 37 41 45 53 61 66 71 73 72 73 69 65 61 58 60 59 52 46 41 34 21 14 9 5 3 4 5 7 10 13 15 12 nan nan nan nan nan nan nan nan nan nan
10 10 10 10 10 11 13 14 13 13 13 15 19 24 28 33 37 38 38 33 23 17 18 24 31 29 25 22 18 13 9 7 5 3 2 4 9 14 17 18 22 29 35 39 43 43 35 24 23 34 48 53 41 24 13 15 34 57 64 53 36 24 21 25 31 37 42 50 53 41 17 4 0 2 14 38 62 78 84 82 76 72 71 70 66 59 52 46 41 37 34 32 26 20 17 22 17 13 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 1 1 2 2 3 4 5 6 5 5 4 4 4 5 5 5 4 3 2 2 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 8 16 24 32 35 36 35 32 28 24 19 18 19 20 21 21 20 19 20 24 30 35 38 37 36 38 47 56 62 65 65 63 59 57 54 52 51 50 50 52 57 61 61 59 59 59 57 52 44 35 25 15 10 9 9 8 7 6 7 9 11 13 17 22 26 32 37 42 48 52 54 50 54 50 51 49 48 49 51 54 57 59 69 65 49 37 25 14 6 4 4 6 9 12 13 nan nan nan nan nan nan nan nan nan nan
3 3 4 5 6 8 11 13 14 14 14 14 14 15 16 19 23 27 32 35 30 24 22 25 30 34 31 27 22 16 11 8 6 4 2 2 4 10 16 19 22 26 32 38 43 42 30 18 21 37 49 45 29 16 11 20 46 68 71 57 39 25 19 21 28 36 41 45 48 37 19 8 4 7 20 48 75 89 89 84 81 80 79 75 68 58 49 42 38 36 35 34 32 28 23 26 23 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 2 1 1 2 2 3 3 4 4 4 4 3 2 2 2 3 3 3 2 1 0 0 1 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 8 12 18 23 26 29 30 28 25 22 20 20 21 21 20 19 19 20 22 26 30 33 34 34 37 44 51 54 57 59 58 56 54 53 52 49 48 48 50 53 54 53 52 52 51 50 46 40 33 23 12 8 7 6 6 4 2 2 2 3 6 8 10 15 20 25 31 36 40 42 42 41 41 40 39 39 40 42 45 48 52 62 70 73 69 62 50 32 21 17 16 17 17 17 18 nan nan nan nan nan nan nan nan nan
0 0 0 1 2 4 8 12 13 14 14 14 14 14 14 15 16 19 22 27 30 30 28 29 32 35 35 32 29 21 13 9 7 6 4 2 2 6 12 18 20 21 23 26 30 32 26 17 26 47 54 43 28 19 20 34 59 76 74 58 40 27 19 18 27 36 41 42 48 43 30 21 21 29 45 67 96 109 100 86 80 79 77 72 63 54 44 39 39 38 35 32 32 32 30 26 31 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 1 1 1 1 1 2 2 3 3 2 2 1 1 1 1 1 1 1 1 0 0 0 0 5 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 8 12 14 19 23 26 28 27 26 24 23 22 21 20 19 19 20 22 24 26 27 29 33 40 50 50 49 51 51 50 48 46 44 42 38 38 42 44 45 44 44 43 42 40 37 33 27 18 10 6 5 5 5 4 3 2 0 0 0 2 4 9 15 18 24 28 32 33 34 33 32 31 30 29 30 31 34 36 39 44 49 57 66 75 80 76 61 52 47 43 36 32 30 nan nan nan nan nan nan nan nan nan
2 1 1 3 4 6 7 9 11 12 12 12 12 12 13 14 16 18 20 23 27 29 29 29 31 34 35 35 34 27 16 10 8 8 6 4 3 3 7 14 18 19 18 16 17 21 24 24 32 56 62 52 40 33 36 49 65 74 70 55 41 29 20 20 28 39 44 43 50 52 45 40 42 52 64 77 96 110 102 89 72 67 67 63 57 52 50 50 48 42 33 27 27 33 33 29 33 20 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 1 0 0 0 0 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 2 2 3 5 10 15 21 26 29 30 28 26 23 22 20 19 19 19 20 20 20 21 23 28 34 48 49 48 47 46 44 39 37 35 30 26 25 26 29 30 31 32 32 31 27 26 22 19 13 9 6 4 3 3 4 4 3 1 0 0 0 1 3 8 15 19 22 24 26 25 24 24 23 21 18 18 20 22 25 27 29 34 39 46 56 65 72 77 75 71 69 61 50 45 nan nan nan nan nan nan nan nan nan
7 6 5 5 6 7 8 8 9 9 9 8 8 9 11 14 17 20 21 23 25 27 28 28 29 32 33 33 34 32 22 13 9 10 10 8 6 4 4 8 14 16 16 13 10 12 18 25 35 53 66 63 56 51 50 56 63 66 61 52 42 32 23 22 32 46 54 52 52 59 56 51 55 62 64 61 64 69 65 64 59 54 55 56 56 58 61 60 54 42 29 22 24 30 31 31 30 14 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 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 2 6 9 13 19 25 27 28 26 24 22 20 18 18 18 17 17 17 17 19 23 28 39 46 46 43 39 35 30 28 26 22 19 18 17 18 19 19 20 22 21 19 17 14 12 10 8 6 4 0 0 2 2 3 3 2 2 1 1 0 2 10 14 17 19 20 20 20 18 18 15 11 9 9 14 17 19 20 22 27 32 38 44 50 59 65 64 65 57 55 52 nan nan nan nan nan nan nan nan nan
9 8 8 8 9 9 9 9 8 7 7 6 6 7 8 12 16 22 25 26 27 28 29 29 29 30 31 28 30 33 27 19 13 13 14 12 9 6 5 6 11 14 14 12 8 7 12 20 31 46 61 64 62 62 60 58 58 58 56 50 43 36 29 30 40 56 68 70 66 63 57 51 55 58 48 34 25 22 22 30 47 54 49 52 59 63 62 57 49 39 28 23 25 27 26 29 22 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 1 0 0 0 0 0 0 0 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 1 4 7 8 12 18 21 22 22 21 19 18 16 15 15 14 14 14 14 16 19 24 32 39 40 36 34 32 29 25 21 18 14 11 11 13 13 13 14 14 14 12 10 8 7 6 5 4 3 1 0 0 1 2 3 4 5 5 4 3 2 4 9 12 15 16 17 16 15 14 14 13 12 12 14 15 16 16 17 19 22 26 31 36 40 44 46 48 49 50 50 48 nan nan nan nan nan nan nan nan
12 11 9 9 9 9 9 9 9 8 8 7 6 6 6 7 11 16 23 28 29 30 30 30 31 31 32 27 25 32 31 25 19 17 18 16 12 9 7 6 9 11 12 11 8 6 9 15 25 41 55 60 60 63 64 62 59 57 55 52 47 42 39 42 49 62 72 72 62 52 46 46 51 48 29 13 5 2 5 21 45 53 42 47 56 56 52 46 42 37 33 30 29 23 24 25 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 1 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 7 10 13 14 15 14 13 12 12 11 10 10 11 12 13 16 21 26 30 30 30 29 27 25 21 16 11 6 3 3 4 6 5 7 8 7 5 3 3 2 1 1 1 1 0 0 0 0 1 2 4 5 6 6 6 4 4 4 5 9 11 12 13 12 12 12 12 13 14 14 14 15 16 17 18 19 21 24 26 30 32 35 37 38 40 42 42 nan nan nan nan nan nan nan nan
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