Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 4 4 4 4 4 5 6 6 6 5 6 8 9 10 11 10 9 8 6 5 5 5 4 3 3 4 4 5 5 4 4 4 4 4 4 3 3 3 2 2 3 3 4 5 5 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 3 3 4 4 4 5 5 5 5 5 5 6 6 7 6 6 5 5 6 5 5 6 7 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 10 8 7 5 4 5 7 9 9 9 8 6 6 7 8 7 7 8 9 6 5 4 4 7 7 9 10 10 10 6 1 6 12 9 7 7 5 6 6 5 2 -2 -4 -4 -5 0 7 10 12 17 17 9 1 -3 -5 -1 6 4 0 4 10 10 7 6 7 9 9 8 7 5 5 7 9 8 7 8 9 9 10 11 11 14 19 24 28 28 26 19 7 2 2 3 5 7 9 8 6 4 3 3 4 4 4 4 4 4 4 4 3 2 2 2 1 1 1 2 2 2 2 2 4 5 5 5 5 5 5 5 5 7 10 16 24 32 27 12 6 6 7 5 4 5 5 6 5 6 5 5 5 5 5 5 5 4 5 4 4 5 3 4 5 5 4 4 4 5 4 4 4 4 6 7 6 5 4 4 4 4 3 3 2 2 3 3 3 2 2 2 3 3 3 4 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 9 23 36 32 22 17 16 11 2 -3 -8 -6 -13 -7 2 -1 1 6 6 5 -1 -2 -2 -9 -14 -11 -7 -8 -7 -5 1 4 4 5 5 7 12 17 19 19 11 7 9 9 7 6 6 6 7 9 10 7 9 11 12 8 6 6 7 6 6 7 7 6 5 4 4 3 3 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 4 4 4 5 5 6 6 5 5 5 6 7 9 10 11 10 8 6 6 6 6 5 3 4 4 4 5 5 4 4 3 4 4 4 4 3 3 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 4 4 5 5 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 5 4 4 5 4 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 5 6 7 8 8 8 8 8 8 9 9 9 10 10 9 7 5 4 5 7 9 9 9 8 7 6 7 8 7 6 10 12 9 7 7 7 7 5 7 11 14 10 5 -2 -1 8 11 11 11 4 1 5 5 3 0 -3 -2 -0 2 2 5 9 14 16 10 3 -0 -1 1 6 9 11 14 16 13 7 2 4 6 7 8 10 8 6 8 9 8 8 10 8 7 9 11 12 13 19 24 26 25 21 11 3 2 3 4 6 7 8 7 5 3 3 3 3 4 4 4 4 4 4 3 3 3 2 1 1 1 1 2 2 2 2 3 4 5 5 5 5 5 5 5 5 7 10 17 27 32 24 11 6 6 5 6 6 6 6 5 5 5 4 5 5 6 6 5 5 5 5 4 2 -1 -1 3 4 3 2 4 4 5 5 4 4 4 5 6 5 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 4 5 6 6 6 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 2 1 1 2 2 1 2 2 2 2 2 3 2 1 2 6 12 17 25 32 30 26 22 18 16 13 10 5 3 1 5 5 5 4 4 8 7 3 2 2 0 -3 -1 -3 -6 -7 -3 2 3 4 5 5 5 7 10 14 12 9 10 10 8 6 5 5 5 5 6 5 5 7 6 5 5 5 5 6 6 6 6 6 5 4 4 4 4 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 nan nan
nan nan nan nan nan nan nan nan 4 4 5 4 4 4 5 5 6 6 6 5 4 5 4 4 6 9 11 12 11 8 7 7 7 7 5 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 5 5 5 6 6 6 5 5 5 5 5 5 6 7 8 9 9 9 9 9 9 10 10 10 10 10 7 5 4 5 7 9 9 9 8 7 7 8 8 6 6 11 11 8 8 8 5 -0 0 5 11 14 10 4 -3 -8 -4 7 14 12 3 -1 4 7 5 3 1 2 3 3 2 3 4 5 9 9 5 3 4 3 7 15 16 13 11 11 9 5 3 5 6 7 8 9 10 9 6 6 9 10 8 6 7 9 11 12 14 18 22 21 13 6 2 3 3 4 7 8 8 7 4 3 3 3 3 3 4 4 4 3 3 4 3 3 2 2 1 1 1 1 2 2 2 3 4 5 5 5 5 5 5 5 5 6 10 17 31 37 23 9 5 4 5 6 7 6 5 4 5 5 5 4 5 5 5 5 5 5 4 4 2 -6 -10 -2 2 -2 -3 1 4 4 5 5 5 5 5 5 4 4 3 2 4 4 4 4 4 5 5 4 4 3 3 3 3 3 4 5 5 5 6 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 3 3 3 2 1 1 0 -0 -0 -0 -0 0 0 -0 1 1 0 0 0 1 4 10 13 10 8 14 21 27 24 16 15 15 11 8 8 8 9 9 7 3 3 7 9 7 4 5 8 6 5 3 -1 -1 1 2 3 4 4 4 5 5 6 8 9 9 10 10 8 6 5 5 5 6 6 5 6 6 5 4 4 5 5 5 6 6 7 7 6 5 4 4 5 6 6 6 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 4 4 4 4 5 5 5 6 5 5 5 4 3 3 4 6 8 10 11 10 9 7 8 8 7 6 5 5 6 6 6 6 6 6 6 7 6 6 6 5 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 5 6 7 8 9 9 10 9 9 10 11 10 10 9 8 6 4 5 7 8 9 9 9 8 7 8 7 3 -1 -1 5 8 7 6 3 -3 -0 4 5 6 4 4 1 -4 -6 1 10 8 4 4 5 6 6 5 4 4 4 5 6 6 4 2 4 6 4 3 3 2 8 16 14 8 3 3 9 10 6 4 5 7 5 7 12 10 5 6 9 10 11 9 7 7 9 11 15 20 20 13 6 4 3 3 4 5 7 9 8 6 4 3 3 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 5 5 5 5 5 6 5 4 6 9 16 31 45 29 7 3 4 5 5 5 4 3 4 5 5 5 5 4 4 4 4 4 4 4 5 7 -1 -12 -8 0 -1 -4 -1 4 5 5 5 4 4 5 5 4 4 3 2 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 3 2 2 2 1 1 1 0 0 0 0 1 3 5 4 3 1 -0 -0 0 3 9 12 10 4 3 4 8 18 22 15 11 12 10 6 6 7 10 11 9 6 3 5 9 8 8 6 5 5 4 4 4 5 6 6 4 3 3 4 5 6 6 6 7 8 9 9 8 6 5 5 5 6 6 6 6 6 4 4 5 5 5 5 6 6 7 8 7 6 5 4 4 5 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 4 5 5 5 6 5 4 3 3 3 3 4 5 7 9 10 10 9 9 8 7 6 5 5 5 6 7 7 7 6 7 7 7 7 6 5 4 4 3 3 3 2 3 3 3 2 2 2 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 4 3 3 4 3 3 4 4 4 4 5 5 5 4 5 5 5 6 6 5 5 4 4 4 5 5 6 7 8 9 9 10 10 11 11 11 10 9 8 6 5 6 7 8 9 9 9 8 7 7 6 -1 -13 -18 -5 8 6 7 7 2 2 2 0 2 5 10 11 7 3 1 4 5 6 7 6 4 4 4 3 4 4 6 9 10 6 3 3 3 3 3 3 4 7 9 9 8 3 -1 3 8 5 -0 -1 4 5 8 12 11 9 9 11 13 12 8 6 7 8 12 19 20 13 7 4 4 4 4 5 6 8 9 7 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 4 4 4 4 5 5 6 6 6 5 6 9 14 25 42 38 15 5 4 4 5 5 4 3 5 5 5 5 5 4 4 4 5 5 4 4 5 7 4 -3 -10 -4 8 8 3 4 5 4 5 4 4 4 4 4 4 3 3 3 3 3 3 4 5 6 6 6 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 6 5 4 4 4 3 2 2 2 2 1 2 1 1 1 1 2 4 10 18 22 19 12 5 2 4 9 13 9 2 -0 -1 -0 2 7 13 12 9 9 9 7 6 6 7 10 11 9 7 8 11 10 8 9 9 7 4 4 6 8 8 7 4 3 3 3 4 5 6 6 6 7 7 8 7 6 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 6 5 4 4 3 4 5 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 3 3 3 3 3 3 4 5 5 4 4 3 3 3 3 3 4 4 6 7 9 9 8 8 8 7 6 5 4 5 6 6 6 6 5 5 6 6 6 5 4 3 3 3 3 3 3 2 3 2 2 2 2 3 3 3 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 7 6 5 5 4 5 4 4 5 6 7 8 8 9 10 11 11 11 10 9 8 6 5 6 7 8 9 9 8 7 7 6 6 1 -8 -11 -2 3 1 7 11 4 -3 -2 1 5 9 13 13 11 9 6 7 6 6 8 8 4 3 2 2 3 4 6 10 11 6 5 3 2 4 5 6 7 1 -1 3 7 7 1 -2 1 6 4 -2 1 9 12 11 10 11 11 13 13 10 6 6 7 7 12 16 12 7 4 4 4 4 4 5 7 8 8 6 4 3 4 4 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 4 4 4 5 4 5 5 6 6 6 5 6 8 12 20 33 39 23 11 8 6 4 4 4 4 5 5 6 5 5 4 4 4 5 6 6 4 4 4 6 3 -5 -7 4 10 7 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 4 5 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 3 3 2 2 1 1 1 1 1 1 1 1 3 8 16 25 35 39 34 23 15 14 15 11 0 -6 -5 -7 -8 -3 1 4 7 7 7 8 8 9 7 6 7 10 14 12 9 15 16 11 10 10 8 6 6 6 7 7 6 5 4 3 2 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 5 6 7 8 7 7 6 6 6 6 5 5 4 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 8 7 5 3 3 2 2 3 4 4 4 4 4 3 3 4 4 4 3 3 4 5 6 7 7 7 8 8 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 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 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 6 5 5 5 6 6 6 6 5 4 5 5 4 4 6 7 7 8 8 9 10 11 11 9 9 8 6 5 5 7 9 10 10 8 8 7 6 6 5 2 4 9 6 0 2 3 -3 -9 -5 4 7 6 5 6 7 9 10 11 9 6 7 7 6 5 4 4 6 9 9 10 6 5 5 3 3 7 9 13 11 -0 -5 -3 3 8 6 1 1 9 11 4 4 10 12 11 9 10 10 9 9 8 5 4 5 7 12 12 7 4 4 4 4 4 4 6 7 9 7 5 4 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 4 4 4 4 5 5 5 6 6 6 6 5 7 10 14 24 34 25 13 11 10 8 6 5 5 5 5 6 6 6 5 4 4 5 7 7 5 4 3 3 4 2 -5 -8 -1 5 5 4 4 4 4 4 4 3 2 3 3 2 2 2 2 3 3 4 5 5 5 6 5 5 4 4 4 3 4 4 3 3 2 2 2 2 3 3 4 4 4 3 3 3 2 2 2 1 1 1 1 1 1 1 3 6 10 14 20 29 39 42 37 30 25 17 5 -3 -6 -4 -3 -5 -3 2 4 4 5 7 6 7 9 9 7 6 4 8 11 11 15 15 12 9 6 6 6 6 6 6 7 6 6 4 1 -2 -0 3 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 7 9 9 8 6 6 6 5 5 6 5 4 4 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 9 9 8 6 4 3 2 2 3 4 4 4 4 3 4 4 5 4 4 4 3 4 4 5 5 6 7 7 7 5 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 3 4 3 3 3 3 4 4 4 5 6 6 5 5 5 5 6 7 6 5 4 4 5 5 4 5 7 7 8 8 8 8 9 10 10 8 8 7 6 6 7 9 10 10 9 8 7 7 6 5 5 4 5 9 8 5 -0 -5 -6 -1 3 3 1 2 3 7 11 12 11 9 7 6 5 5 5 5 5 9 14 12 6 2 3 4 3 6 10 14 19 16 8 3 -1 1 7 14 11 4 7 9 7 8 11 11 8 9 11 9 5 5 5 4 5 6 11 15 11 6 5 5 4 4 4 5 6 8 8 7 5 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 4 4 4 4 4 5 5 6 6 6 6 5 6 8 10 17 31 28 15 10 11 10 10 10 8 6 5 5 6 8 9 8 7 7 7 6 5 4 3 3 4 4 1 -5 -5 2 5 5 5 5 4 4 4 3 2 2 1 2 2 3 3 3 4 4 4 4 4 5 5 5 4 4 3 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 2 2 1 1 1 1 1 1 4 7 10 10 9 9 11 16 23 30 31 26 22 14 5 2 1 2 4 3 2 4 5 4 4 5 5 5 7 8 9 10 6 -1 2 7 10 10 8 7 7 7 6 7 7 7 7 7 7 8 4 -5 -9 -5 2 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 4 4 5 6 8 10 9 8 7 6 5 5 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 6 8 8 8 7 5 4 3 3 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 5 6 6 6 6 6 5 5 4 5 5 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 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 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 5 6 6 6 5 5 4 5 6 8 7 5 5 4 4 5 5 5 6 8 8 7 7 7 8 9 10 9 8 7 6 6 7 8 10 10 9 7 7 7 6 5 5 1 -2 3 11 12 6 2 2 3 3 1 3 6 8 9 11 11 11 10 7 5 5 5 4 4 5 10 14 10 4 3 4 4 5 9 12 15 16 13 12 9 5 3 5 8 9 7 7 6 5 5 11 16 13 11 11 8 5 3 3 5 7 10 16 16 9 5 5 5 4 4 4 5 7 8 7 6 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 5 6 6 6 6 6 6 5 6 7 11 24 35 27 17 13 12 13 14 14 11 8 7 7 10 13 14 13 11 8 6 5 5 4 4 4 4 5 2 -3 -1 4 4 5 5 5 5 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 3 3 3 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 3 9 16 19 14 7 5 7 9 11 14 18 14 7 7 7 6 5 4 4 4 5 5 5 4 4 3 4 5 4 6 8 15 14 5 0 2 6 7 6 6 6 6 7 7 7 8 8 7 8 13 14 4 -5 -9 -4 4 6 6 5 6 6 6 7 7 7 7 7 7 7 7 6 6 5 4 5 7 9 9 9 7 6 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 2 3 5 7 9 9 9 6 4 3 4 5 6 6 5 4 4 4 4 3 2 2 2 2 3 3 4 5 5 5 6 6 6 6 5 5 6 5 5 4 3 3 3 2 2 2 2 3 3 3 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 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 5 6 7 7 6 5 5 5 5 5 5 6 7 8 8 6 6 7 8 10 10 9 8 7 7 7 9 10 9 8 7 7 7 6 5 5 3 0 1 5 8 9 8 4 3 5 7 10 12 11 9 8 10 12 11 8 5 5 5 4 3 3 6 9 7 3 4 4 4 7 9 10 12 10 8 7 5 6 5 4 5 3 5 5 -1 0 -0 7 16 21 17 12 6 2 -1 1 5 7 12 17 12 6 5 5 5 5 4 4 6 8 8 7 5 4 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 6 6 6 6 6 5 5 5 6 12 26 33 29 25 21 19 19 19 17 13 9 7 8 11 15 16 15 11 8 6 6 5 5 5 5 5 4 -0 0 2 3 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 3 4 4 4 2 2 1 1 1 0 0 0 1 1 1 2 1 1 2 2 2 2 4 8 13 18 18 11 5 4 6 7 8 9 13 14 6 4 6 6 5 5 5 4 5 5 5 5 5 5 7 9 8 7 9 14 18 14 5 4 5 6 6 6 6 6 7 7 8 8 8 7 8 14 19 13 9 4 -2 2 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 5 5 6 8 8 8 8 7 6 6 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 1 2 3 4 6 8 9 9 5 3 3 5 6 7 6 5 4 4 3 2 2 2 2 2 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 4 4 5 4 4 4 4 5 5 4 4 4 3 3 3 4 3 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 5 5 6 7 7 6 5 5 5 5 6 6 6 7 8 7 6 5 5 7 9 10 10 8 7 7 8 9 9 9 8 7 7 7 6 5 4 4 4 4 5 6 6 4 1 2 7 11 13 11 8 7 6 10 12 12 9 6 5 5 5 4 2 3 5 5 3 3 5 9 11 5 3 6 7 7 6 4 5 5 8 8 3 6 -0 -9 -6 -3 7 15 17 15 9 3 1 3 5 6 8 13 14 8 5 5 5 5 4 4 5 6 8 8 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 5 5 5 6 6 7 7 6 6 5 5 4 5 9 18 25 27 28 28 27 26 24 21 18 14 10 9 10 12 13 13 10 7 8 8 7 7 6 6 6 5 3 1 2 2 3 3 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 3 2 1 1 1 1 2 2 3 3 3 3 2 2 1 1 0 0 -0 0 0 1 1 1 1 1 1 1 3 8 13 13 11 9 5 3 3 5 5 6 7 12 17 12 5 6 5 5 5 6 6 6 7 7 7 7 9 14 16 15 11 8 7 9 10 7 5 5 5 5 6 6 6 6 7 7 8 8 7 7 9 15 14 10 10 6 3 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 5 6 7 7 7 8 9 8 5 5 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan -0 1 1 2 2 3 5 7 9 7 4 3 4 5 6 6 6 5 4 3 3 3 2 3 2 3 3 4 4 4 4 4 4 4 4 5 6 6 7 6 6 5 4 3 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 5 5 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 7 7 6 5 5 5 6 7 6 7 7 7 7 6 5 5 6 8 10 10 9 8 7 8 9 10 10 9 8 7 7 5 4 4 4 4 5 6 6 3 -2 -3 2 8 9 8 6 4 3 5 9 12 11 8 6 6 7 6 6 5 4 4 4 3 4 8 14 11 1 -2 2 4 4 5 7 9 7 11 7 2 5 11 9 4 3 10 15 8 6 5 4 5 11 12 9 10 15 12 6 5 4 5 5 4 4 5 6 7 8 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 5 5 5 6 7 7 6 6 5 5 5 4 4 5 10 14 17 20 24 25 26 26 25 23 20 17 13 11 12 14 13 13 15 18 19 16 13 11 10 9 3 1 1 1 1 1 1 2 3 4 3 3 2 2 2 2 2 2 2 3 4 5 5 3 2 1 -1 -1 0 0 -0 0 2 3 2 1 1 0 0 0 -0 -1 -0 0 0 0 0 0 -0 0 3 9 12 8 5 4 3 1 -1 0 1 2 4 9 13 11 6 6 5 4 4 5 5 6 8 8 9 11 10 11 13 13 8 4 3 3 3 4 4 4 4 4 4 5 6 6 6 7 8 8 7 6 6 9 9 7 7 4 3 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 8 10 7 6 6 5 4 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 0 0 0 1 2 2 2 4 7 8 6 5 3 4 5 5 6 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 6 6 5 5 5 4 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 6 7 8 6 5 5 6 7 7 7 7 7 7 7 6 5 5 6 7 9 11 10 9 8 8 9 10 12 12 10 9 7 5 4 4 5 5 2 -1 -3 -1 -3 -2 4 8 5 4 5 6 4 5 7 9 11 8 5 7 9 9 8 6 5 5 4 3 4 11 16 11 5 1 2 4 3 2 6 9 9 9 6 6 7 20 30 22 14 12 10 6 6 7 5 8 11 11 10 14 16 10 5 4 5 5 5 4 5 5 6 7 7 6 5 4 3 3 3 2 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 2 2 3 3 3 3 3 3 4 4 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 6 7 11 14 17 17 18 20 21 22 22 21 19 20 24 27 25 23 22 21 19 18 16 9 3 3 2 1 0 -0 -1 -0 -0 1 0 -1 -2 -2 -2 -2 0 1 1 2 3 5 7 6 6 4 1 -1 -1 -0 -2 -1 1 2 2 1 0 0 0 0 -0 -1 -1 -1 -1 -0 0 2 3 2 1 4 7 4 1 1 3 1 -4 -6 -5 -4 -1 2 7 8 6 5 5 4 4 5 4 3 5 6 6 7 7 5 6 7 5 2 1 1 3 3 3 4 4 3 4 4 5 5 6 6 7 8 7 7 6 6 6 8 9 6 3 3 5 5 5 5 5 5 4 4 5 5 6 5 6 6 6 7 7 7 7 6 5 6 5 7 8 6 6 6 6 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 0 0 0 1 2 1 1 1 3 6 8 7 4 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 7 7 7 6 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 3 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 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 6 7 8 6 5 5 6 7 8 8 7 6 7 6 5 5 5 6 7 9 10 10 10 9 9 8 9 10 10 10 11 8 6 4 4 5 5 -1 -9 -11 -3 -0 1 4 8 3 6 7 7 6 5 6 8 10 10 6 7 11 12 9 5 4 5 4 2 4 11 13 9 9 7 3 5 3 1 3 5 8 7 6 6 4 14 25 22 17 11 8 11 13 10 7 8 8 7 11 16 13 7 5 5 5 5 5 5 5 5 6 7 7 6 5 4 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 3 2 3 3 3 3 3 4 4 5 5 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 9 11 15 20 22 22 22 22 20 16 12 11 13 15 16 14 7 5 5 4 3 2 1 0 -0 -1 -1 -2 -2 -2 -2 -3 -2 1 2 2 2 2 3 5 7 7 6 4 3 3 4 4 3 3 3 2 1 1 1 0 0 -0 -1 -1 -2 -2 -0 2 7 11 9 1 -3 -0 3 1 -1 1 1 -2 -3 -4 -5 -1 2 4 4 5 7 7 7 7 10 11 6 4 5 3 2 4 5 5 4 4 4 3 2 2 3 3 3 3 4 3 3 4 4 5 6 6 7 7 7 7 6 6 7 10 11 6 4 5 5 5 4 4 5 4 2 3 5 5 5 5 5 6 7 7 8 8 7 7 5 4 5 7 6 5 6 6 5 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 3 2 2 1 1 2 2 1 0 -1 2 6 7 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 4 4 4 5 5 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 8 8 6 5 5 6 8 8 8 6 6 7 6 6 5 5 6 8 10 11 11 11 10 9 8 6 2 2 6 10 11 9 6 5 5 4 -1 -7 -8 -1 2 2 2 3 2 4 6 5 8 5 4 6 8 12 10 7 11 13 8 4 4 5 4 3 6 10 11 7 6 6 5 4 1 -1 1 5 8 7 8 7 5 8 13 13 12 12 11 14 13 9 7 5 4 7 14 15 9 5 4 5 6 6 5 5 5 5 6 7 7 6 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 4 4 4 5 5 5 6 7 7 7 6 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 6 8 9 12 11 7 4 4 5 5 5 6 8 8 6 6 6 6 6 5 4 3 2 1 1 1 1 2 4 5 4 7 9 5 2 2 2 3 4 5 5 4 4 7 9 10 8 7 4 2 2 1 1 0 -0 -1 -1 -2 -2 -1 2 6 12 16 15 3 -6 -6 -2 -0 0 0 1 2 3 3 2 3 5 4 4 5 6 7 9 11 14 17 14 10 6 3 2 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 4 5 5 6 7 7 7 7 7 7 7 9 8 6 5 4 4 4 4 6 7 2 0 4 5 5 5 5 5 6 7 8 8 8 7 6 4 5 6 6 5 5 6 6 5 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 3 2 2 2 2 1 -0 -2 -1 2 5 6 6 6 5 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 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 4 4 5 5 5 5 7 7 7 6 5 5 6 8 9 8 6 6 6 6 5 5 5 6 7 9 11 11 11 11 10 8 6 1 0 2 6 11 12 9 7 6 4 2 -0 -3 0 4 5 4 1 0 -1 4 7 11 7 4 3 6 11 11 7 8 10 7 5 7 6 3 3 7 11 9 5 3 4 6 5 2 3 6 8 9 8 8 8 8 6 8 9 10 10 10 10 8 6 3 1 4 10 16 13 6 4 5 5 6 6 5 5 4 5 6 7 8 7 5 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 7 8 8 7 6 5 4 4 5 5 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 6 6 6 5 5 4 4 4 4 8 14 16 19 20 11 1 -0 1 3 2 2 3 3 3 5 10 13 11 8 5 2 2 1 1 -0 -0 0 1 1 1 3 5 8 10 13 12 5 -4 -6 -4 1 3 2 2 3 3 5 6 5 4 5 5 5 5 6 8 3 2 10 13 8 5 3 2 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 7 7 7 7 8 7 7 6 5 5 4 4 4 5 8 8 3 3 5 5 5 5 5 6 7 8 8 8 7 7 5 5 6 6 5 4 5 5 6 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 5 5 4 3 2 1 -0 -2 -2 0 2 5 6 6 6 4 3 3 2 2 1 1 2 2 2 3 3 3 3 3 4 5 5 6 6 5 5 5 4 4 5 5 5 5 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 7 7 7 6 5 5 6 8 9 9 7 6 7 6 5 5 5 6 7 8 10 11 12 11 10 10 8 6 4 3 4 8 11 10 8 6 5 5 5 1 1 7 10 9 10 6 -3 5 9 11 9 7 2 3 7 8 6 6 8 7 7 7 5 2 4 9 13 9 5 5 6 7 6 6 10 12 10 9 7 5 4 5 4 7 8 8 6 6 8 6 3 1 3 7 12 15 11 5 4 5 5 6 6 5 4 4 4 5 6 8 8 6 4 3 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 5 5 6 7 7 7 6 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 6 5 5 5 5 6 6 6 7 8 7 7 6 6 6 6 5 5 4 6 13 21 30 31 19 4 -0 1 1 0 0 1 1 1 2 5 9 8 6 4 3 2 4 4 3 2 4 7 9 10 9 4 -1 0 5 8 8 5 3 4 4 4 4 3 3 3 3 4 5 5 5 5 7 9 9 7 5 -1 1 6 4 4 3 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 7 8 7 6 5 5 5 5 5 5 4 6 7 6 5 5 5 5 6 5 6 6 7 8 8 8 7 6 5 5 6 5 5 4 5 5 5 5 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 6 6 6 6 5 4 2 1 -1 -1 0 1 3 5 6 6 5 5 4 3 2 1 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 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 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 6 7 7 7 6 5 5 6 8 10 10 7 6 7 6 5 4 5 6 6 7 9 10 11 11 11 10 9 7 6 5 5 5 8 9 8 5 5 8 10 6 4 10 15 9 7 8 2 1 5 7 9 8 5 4 6 6 5 6 9 9 7 6 4 3 5 10 13 10 8 9 10 9 6 6 11 12 11 8 6 3 2 1 3 5 5 5 3 5 7 5 3 3 5 7 12 14 9 5 4 4 5 6 5 4 4 4 4 5 6 7 8 7 5 4 3 3 4 3 3 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 7 6 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 6 6 8 8 7 7 6 6 6 6 5 4 3 4 8 17 29 36 26 10 2 -1 -2 -3 -4 -1 -1 1 2 2 3 3 3 5 8 10 14 16 14 10 10 14 16 14 9 3 -3 -4 1 7 10 10 9 7 5 4 5 5 4 5 5 4 5 8 8 9 9 8 10 10 10 6 2 4 5 5 4 2 2 3 3 3 4 4 4 3 4 4 3 3 3 3 3 4 4 4 3 3 3 4 5 6 6 6 7 7 7 6 6 6 5 5 5 5 5 4 5 5 5 5 5 6 5 5 5 6 6 7 8 8 8 7 6 6 6 6 6 5 5 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 7 6 7 7 7 6 6 5 3 2 1 1 1 2 3 5 6 6 6 5 4 3 1 1 1 1 2 2 2 3 3 3 3 3 3 4 5 5 6 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 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 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 10 10 7 6 7 7 6 5 5 6 6 6 7 8 9 10 11 10 9 7 6 5 5 5 6 9 8 5 4 8 11 9 6 11 17 10 -1 4 6 -2 0 0 5 6 7 7 7 6 5 7 11 10 6 5 5 4 6 8 8 9 8 9 11 9 7 7 8 10 10 6 4 2 2 1 3 4 5 3 2 7 7 5 5 4 5 6 12 14 8 5 4 4 5 5 5 4 4 4 4 5 5 6 7 8 7 5 4 4 4 3 3 2 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 6 6 5 5 4 4 4 4 6 10 20 31 33 19 6 2 -0 -3 -3 -2 -2 -0 4 7 5 2 2 6 13 22 28 27 25 18 14 14 14 11 9 7 4 2 4 7 9 9 9 7 5 5 7 7 6 9 13 11 9 11 13 14 12 4 3 8 7 4 4 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 5 5 5 6 7 9 6 3 4 6 6 5 5 5 5 5 4 5 5 5 6 6 6 5 5 5 6 7 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 7 7 7 7 7 7 7 7 6 5 4 3 2 2 3 4 6 7 6 5 4 3 2 2 1 1 2 1 3 3 3 4 3 3 3 3 4 5 6 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 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 4 4 4 5 5 4 5 4 4 4 4 4 4 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 5 6 6 6 7 8 9 10 10 7 5 6 7 7 5 5 5 6 6 6 6 7 9 9 10 8 7 6 5 5 5 6 9 10 7 5 6 9 7 4 8 15 12 2 4 6 -1 -1 -3 -0 2 7 10 9 6 5 7 11 10 6 5 5 7 13 13 9 7 7 8 10 8 8 7 7 8 7 4 2 1 1 2 5 7 7 4 6 11 8 6 5 4 5 6 12 12 6 5 4 5 5 5 5 5 4 4 4 5 5 6 6 7 7 7 6 5 4 3 3 3 3 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 4 4 4 4 4 5 7 11 21 34 32 19 11 8 5 2 0 0 0 6 12 13 10 7 8 13 23 28 26 27 23 14 10 9 8 8 7 6 5 6 6 6 7 7 7 6 5 8 11 11 12 17 19 16 13 10 10 11 7 2 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 9 10 5 3 7 7 6 5 5 4 5 4 5 5 6 6 6 6 6 6 5 6 6 7 8 8 8 7 7 6 6 7 7 7 6 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 7 7 7 7 7 7 7 8 7 7 5 4 4 3 5 6 7 7 6 5 4 4 3 2 2 1 2 2 3 4 4 4 3 3 3 3 4 4 5 5 5 6 6 5 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 2 3 3 3 2 3 3 3 2 3 3 3 4 3 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 6 6 5 5 7 8 8 8 8 9 10 10 7 5 5 7 7 6 5 4 5 6 6 6 6 7 7 8 9 7 6 5 4 4 7 11 12 11 8 6 9 8 1 2 10 9 4 7 6 1 -4 -4 -1 1 7 12 11 7 5 6 10 10 6 5 5 12 20 17 11 7 7 8 8 8 7 5 4 5 5 5 4 2 1 2 8 11 8 6 12 13 8 5 5 5 6 8 14 12 6 5 5 4 4 5 5 4 4 4 4 5 5 5 6 7 7 7 7 6 4 3 3 3 3 3 3 3 4 3 3 3 4 3 2 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 4 4 3 3 4 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 6 5 5 5 6 5 5 5 5 5 4 4 5 5 5 6 6 7 7 6 5 5 4 4 4 4 4 3 4 4 5 6 11 24 34 32 23 15 12 7 5 4 2 5 12 15 15 12 6 5 10 14 15 18 19 13 7 6 6 5 5 6 5 4 4 5 5 6 6 6 6 10 13 13 11 11 13 12 8 5 4 6 7 4 4 4 5 5 5 5 5 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 3 2 3 4 5 5 6 10 10 6 7 9 8 6 5 5 4 4 4 5 5 6 6 6 5 5 6 5 6 6 7 8 9 9 8 6 6 7 8 9 7 6 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 6 5 6 6 7 7 8 8 8 8 7 6 5 4 5 5 7 7 6 6 5 5 5 4 3 2 2 2 3 4 4 4 4 3 3 2 3 4 4 4 4 5 5 5 5 4 3 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 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 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 6 6 6 6 6 6 6 6 6 8 11 11 10 8 8 8 9 9 7 4 4 6 7 7 5 5 5 5 5 5 4 5 7 7 8 7 6 5 4 6 11 12 11 12 9 6 9 10 1 -1 5 6 5 9 9 5 -2 -4 1 1 4 10 13 9 5 7 11 10 6 5 6 14 17 12 9 8 8 9 8 6 3 -1 0 4 6 7 6 5 3 5 10 11 8 11 14 10 5 4 5 6 6 8 13 10 5 5 4 4 5 5 5 4 4 4 4 4 4 5 6 7 7 7 7 6 4 4 3 3 4 3 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 6 5 4 4 4 3 4 3 3 3 4 5 5 6 11 20 31 30 22 18 13 9 6 3 4 8 9 8 3 -4 -5 -2 -1 0 5 9 9 6 5 5 5 4 5 5 4 4 5 5 5 7 8 7 8 10 8 6 6 5 3 3 3 3 4 4 4 4 4 5 6 5 5 5 6 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 7 6 -0 1 4 4 4 4 6 7 7 8 9 10 8 6 5 4 4 4 5 5 6 6 5 6 6 6 6 6 6 6 7 8 9 8 7 6 7 9 9 8 7 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 4 4 5 5 6 6 7 7 7 7 7 7 6 5 5 5 5 6 7 6 6 6 6 5 4 3 2 2 3 4 5 5 4 3 2 2 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 2 2 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 7 7 6 7 12 20 23 19 13 9 6 7 9 8 6 4 3 5 7 7 6 5 5 5 5 4 5 4 5 6 6 6 6 5 6 9 13 12 10 11 9 3 5 8 2 0 4 6 6 9 12 8 3 2 5 3 1 5 10 10 6 8 12 12 8 7 7 9 9 7 7 7 7 6 5 2 -1 -2 2 6 7 6 5 4 4 6 10 10 10 13 12 6 4 5 6 6 5 7 8 6 5 5 4 4 5 4 4 4 4 5 5 4 4 4 5 6 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 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 5 6 6 6 6 5 4 4 4 4 3 3 3 3 3 4 4 5 5 8 15 25 29 26 24 19 12 7 5 6 5 1 -2 -5 -6 -3 -3 -4 -0 4 5 6 6 5 4 5 5 6 6 7 7 7 8 11 13 11 5 4 3 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 7 6 5 5 5 5 5 5 5 5 6 5 5 7 10 5 0 4 4 4 4 4 5 6 7 9 10 10 8 6 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 7 7 7 8 10 10 9 6 4 4 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 2 2 2 2 3 3 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 3 1 2 4 5 5 5 5 4 3 3 3 3 3 3 4 4 3 4 4 3 2 2 2 3 3 2 3 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 12 29 45 44 29 15 7 4 5 7 7 6 4 3 5 6 7 7 6 5 5 5 5 5 4 5 5 6 6 6 5 9 12 13 10 8 11 10 1 0 2 3 4 6 8 7 9 14 12 6 5 8 9 4 3 5 8 7 7 10 11 9 8 7 7 6 5 5 5 4 1 -0 -1 2 6 9 9 5 1 0 2 4 5 6 8 10 10 8 4 5 5 5 5 3 2 3 6 6 5 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 5 12 18 21 26 28 24 18 15 14 10 9 8 5 1 2 4 3 3 6 6 6 6 7 6 5 7 8 10 14 15 14 17 17 15 10 4 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 7 7 6 6 6 6 7 7 7 7 6 5 5 5 5 5 6 6 6 6 5 6 7 8 4 4 4 5 4 4 5 5 7 8 9 10 9 8 6 4 4 4 4 4 4 5 5 6 7 7 7 7 6 5 6 7 8 7 7 6 7 10 10 10 7 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 1 2 2 2 2 2 3 3 4 4 4 5 5 6 6 5 5 5 4 5 5 6 6 6 6 5 3 1 2 3 4 5 6 6 6 5 5 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 6 6 7 7 8 8 8 7 8 19 41 59 50 27 13 2 -1 2 5 5 5 4 3 4 6 7 7 7 6 6 6 6 5 4 4 5 5 6 6 9 11 13 10 6 5 10 13 5 -1 1 5 6 6 8 7 10 14 13 8 3 6 11 10 6 5 7 9 7 6 7 8 7 7 6 5 4 4 2 0 -2 -2 0 6 9 9 6 -0 -4 -3 -0 2 3 0 2 4 6 5 2 2 1 0 1 0 -1 4 10 9 4 4 5 4 4 4 4 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 7 13 19 24 24 23 24 23 22 23 18 10 8 8 7 8 12 16 15 12 15 16 13 14 15 15 18 18 17 15 12 8 4 3 2 2 2 3 4 5 6 5 5 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 6 6 7 7 7 7 6 5 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 5 4 4 5 6 7 8 9 9 9 7 6 5 4 4 4 4 4 4 5 6 6 7 7 7 6 6 6 7 7 6 6 6 7 9 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 2 2 2 2 2 2 2 1 1 1 2 2 2 2 3 4 5 6 6 6 6 5 4 4 5 5 5 6 5 3 2 2 2 3 3 5 6 6 6 6 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 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 6 6 7 8 9 9 9 8 10 19 32 43 33 13 2 -7 -6 1 4 5 4 3 3 4 5 6 7 8 7 7 7 7 5 4 4 4 4 6 9 12 12 10 8 6 4 7 14 9 1 3 9 7 5 4 3 4 8 10 9 4 3 7 11 10 7 9 11 8 5 4 5 5 6 6 5 3 1 0 0 1 3 7 7 4 2 1 -4 -5 -2 -2 -2 -0 0 0 4 6 5 1 -4 -7 -4 0 2 2 10 16 11 4 4 5 5 4 4 5 5 5 5 5 3 3 4 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 7 13 17 18 20 20 18 22 27 24 18 17 15 16 18 21 23 22 23 24 23 22 20 14 12 12 10 6 4 3 3 2 2 1 2 2 3 4 5 6 5 5 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 7 8 7 7 7 6 5 5 6 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 7 8 8 9 9 8 7 6 5 5 4 4 4 4 5 5 5 6 7 7 7 6 7 6 6 6 5 5 6 6 6 7 7 7 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 3 4 5 7 8 7 6 5 4 4 4 4 5 5 4 2 2 2 2 2 3 4 5 6 6 6 5 4 4 3 3 2 2 1 1 2 2 2 2 1 2 2 2 1 1 1 1 1 1 1 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 9 10 10 9 8 10 12 17 21 14 1 -10 -14 -7 1 4 5 4 3 3 3 5 6 7 8 8 8 7 7 5 5 4 4 6 8 12 13 10 8 8 9 4 2 10 10 2 3 10 10 9 6 1 0 4 9 9 7 4 5 9 10 9 11 11 8 4 4 5 4 4 6 5 4 2 1 3 6 10 10 4 0 -0 2 -1 -4 -1 -1 -0 3 3 4 9 9 4 -1 -8 -8 -2 4 8 7 13 18 9 3 4 5 4 4 4 5 5 5 5 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 2 2 4 5 5 3 3 2 3 3 4 4 5 5 4 5 5 4 5 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 5 4 4 4 5 7 8 8 7 6 10 17 23 23 21 21 20 17 14 15 17 16 17 18 16 15 11 7 7 6 4 3 2 2 2 2 2 2 2 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 5 5 5 5 5 5 6 6 7 8 9 8 8 8 7 6 5 5 4 4 4 4 5 5 6 7 7 7 7 7 7 6 5 5 5 5 5 6 7 8 8 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 2 3 2 2 2 2 3 2 1 1 1 1 0 1 1 2 3 4 6 8 9 8 7 6 4 4 4 4 5 5 4 3 3 2 1 1 2 3 4 4 5 5 4 4 4 3 2 2 1 1 2 2 2 2 2 2 1 2 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 2 2 1 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 9 10 10 11 10 10 10 11 7 3 -1 -10 -12 -4 2 4 5 4 4 4 3 4 6 7 8 8 9 8 7 5 5 5 5 8 11 12 11 7 6 9 11 6 2 12 14 3 -0 3 10 15 12 5 2 2 5 8 9 8 7 9 11 12 12 10 7 4 3 4 3 3 6 6 5 3 2 5 6 6 7 1 -2 1 3 -0 -4 -0 4 6 9 9 9 12 9 3 -3 -8 -5 3 12 14 10 12 14 6 4 4 4 5 4 3 4 5 5 6 5 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 2 2 3 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 3 3 4 6 9 12 12 13 10 7 6 6 5 6 7 7 8 8 7 5 5 4 3 3 3 2 2 2 3 3 4 4 4 3 2 2 3 4 3 3 3 4 4 4 5 5 5 6 6 6 6 6 5 5 5 6 6 7 7 7 6 6 6 6 7 7 7 8 7 7 7 8 7 6 6 5 5 4 5 5 5 6 6 7 7 8 8 8 8 7 6 5 5 5 4 4 4 4 5 6 6 8 8 8 7 6 5 5 4 4 5 5 7 9 9 8 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 3 3 2 2 2 2 3 4 3 2 2 1 0 0 1 1 2 3 5 6 8 9 8 7 6 4 4 4 4 4 4 4 4 3 2 1 1 2 2 2 3 4 4 5 5 5 4 4 4 3 3 3 2 2 2 2 2 1 1 1 2 2 2 2 2 2 3 3 3 3 4 4 3 3 3 2 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 9 10 11 14 14 10 7 5 1 -2 -1 -4 -5 -1 3 3 4 5 5 4 3 4 5 7 8 9 8 8 7 6 6 6 7 11 11 10 8 5 3 9 14 4 1 11 16 5 0 -1 5 15 16 8 4 1 1 3 7 6 7 10 16 17 13 9 7 5 5 5 4 4 5 6 6 6 6 6 1 -1 5 1 -1 3 2 -3 -4 1 5 6 8 11 13 14 11 5 -2 -6 -1 10 18 15 9 11 14 7 4 4 4 4 4 3 3 4 5 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 4 3 4 4 5 5 5 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 3 2 2 3 3 3 3 2 3 3 5 5 6 6 5 6 6 5 5 5 4 4 3 3 3 2 3 4 3 3 3 4 4 5 5 5 5 5 5 4 4 3 3 3 2 3 3 3 4 4 5 6 7 5 2 -0 -1 1 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 5 6 6 7 7 6 6 6 5 6 7 7 7 7 7 7 8 8 7 7 6 5 5 5 5 5 5 5 6 6 7 8 8 8 8 7 7 6 5 4 4 3 3 4 4 5 6 7 8 8 8 7 6 5 5 5 5 7 9 9 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 2 2 2 2 3 3 4 3 3 2 1 0 -0 1 1 2 3 5 6 7 8 8 7 5 4 4 3 3 3 4 4 3 2 1 0 1 1 2 2 2 3 4 5 5 5 6 7 7 6 5 4 3 3 2 2 2 2 2 2 3 2 2 3 3 3 3 4 4 5 4 5 4 4 3 2 2 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 9 11 15 17 16 8 -2 -6 -4 -4 -1 0 1 2 2 3 4 4 4 4 4 4 5 6 8 9 9 9 8 7 6 6 8 10 10 9 8 5 0 3 13 10 -0 4 10 5 1 -0 -1 11 16 7 2 2 1 1 3 2 5 12 18 15 9 6 6 8 8 6 5 5 6 6 7 10 10 5 -4 -5 7 6 1 4 -1 -4 -2 -1 -1 2 8 9 11 16 17 8 -1 -3 5 15 18 12 7 11 15 10 3 4 4 4 4 3 3 4 5 5 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 4 5 5 6 5 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 4 5 6 5 5 5 5 6 6 5 4 3 3 4 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 6 8 10 11 7 0 -3 -1 1 2 2 2 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 6 6 7 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 7 6 4 4 3 3 3 4 4 6 8 8 9 8 7 7 6 5 5 7 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 3 3 4 4 3 2 2 2 2 3 4 3 4 3 1 -0 -0 -0 1 2 4 4 5 7 8 8 7 6 4 4 3 3 3 2 3 2 1 0 1 1 1 2 2 2 3 3 4 5 5 7 8 9 8 7 5 5 3 2 2 2 3 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 3 2 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 10 13 16 20 20 17 6 -5 -5 -3 -3 -1 1 2 2 2 3 3 3 4 4 5 5 5 7 8 8 9 9 8 6 6 6 6 7 7 7 8 10 4 -3 0 7 4 4 5 2 1 1 -3 3 12 10 1 -0 1 2 2 0 2 9 12 7 2 1 4 6 8 8 6 5 5 7 11 14 10 1 -5 -2 12 12 3 1 -2 -2 -0 -3 -4 2 9 7 11 20 19 8 -1 0 9 16 15 8 6 11 17 12 3 4 4 4 4 3 3 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 2 3 4 5 5 4 4 4 4 6 7 6 4 3 3 4 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 7 10 14 16 14 6 0 -1 1 2 -1 -3 1 4 4 4 4 4 3 3 3 3 3 4 4 3 4 5 5 6 6 5 5 5 4 4 5 5 6 6 6 6 7 7 7 7 6 6 6 5 5 5 4 5 5 5 6 7 8 9 9 9 9 9 8 6 4 4 3 3 3 3 4 6 7 9 9 8 8 7 6 6 6 6 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 3 4 5 5 5 4 2 1 2 2 3 4 5 5 4 2 0 -1 -0 1 3 3 4 6 7 8 8 7 6 5 4 4 3 3 2 2 1 1 1 1 2 2 2 2 2 2 3 3 3 5 7 9 10 11 10 8 5 2 2 2 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 5 4 2 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 8 10 14 19 22 22 21 18 9 6 11 3 -4 -1 1 2 2 2 2 3 3 3 4 4 5 5 7 8 9 9 8 7 7 7 6 5 5 5 4 6 10 10 1 -5 -3 -0 2 3 3 3 4 0 -0 5 11 6 -0 -3 -1 1 1 2 4 6 4 -1 -1 2 5 8 9 8 6 5 7 12 15 8 -0 0 6 15 13 3 -0 1 3 5 2 2 9 9 9 18 24 17 6 2 7 14 16 11 6 7 10 17 12 4 4 4 4 3 3 3 4 4 4 4 5 6 6 6 5 5 5 4 4 4 4 4 4 3 3 4 3 3 3 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 2 2 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 4 4 3 3 3 5 7 6 4 2 2 4 5 5 3 2 1 2 3 3 3 3 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 5 8 14 18 18 17 13 6 3 3 5 0 -6 -3 3 4 4 4 4 3 2 2 3 3 3 3 3 3 4 4 5 5 5 5 4 4 2 3 4 5 5 5 5 6 7 7 7 7 7 6 6 6 5 5 4 4 5 5 6 7 8 9 9 10 10 10 9 7 5 4 3 2 3 3 4 6 8 9 9 8 8 7 7 6 6 5 4 3 2 3 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 7 7 6 5 4 3 3 3 4 4 5 6 6 6 3 0 -1 -0 1 2 3 4 6 7 8 8 7 6 5 5 4 3 3 3 2 2 1 1 2 2 2 2 2 2 2 2 2 2 4 6 10 13 15 12 6 3 2 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 6 6 7 7 6 3 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 11 16 20 24 24 23 20 19 20 15 9 3 -1 1 2 2 2 2 2 3 3 3 3 4 5 6 8 8 9 8 8 8 11 11 8 6 5 5 5 4 4 5 7 8 4 -0 -1 2 5 6 6 5 2 2 7 8 4 -3 -3 2 5 5 4 6 6 3 0 3 8 12 11 9 8 8 9 14 17 9 4 6 10 12 8 1 3 7 6 10 7 10 16 16 19 27 24 11 5 7 14 16 14 8 6 7 10 18 13 4 4 4 3 3 3 4 4 4 4 4 5 6 6 6 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 3 2 2 3 3 3 3 3 4 4 4 5 6 5 4 3 3 3 3 3 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 2 2 2 2 3 4 3 3 3 3 3 3 3 3 3 4 4 3 2 2 4 5 6 5 3 2 3 5 6 4 2 1 1 2 2 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 6 12 19 21 17 12 11 8 6 6 7 4 -1 -3 2 3 4 4 3 3 3 2 3 3 3 3 3 4 3 2 4 5 4 5 5 5 1 -0 3 4 4 5 5 5 6 7 8 8 8 7 6 6 5 5 5 5 5 5 5 6 8 8 9 10 11 11 11 10 8 5 4 3 3 3 4 5 6 8 8 8 8 8 8 7 7 7 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 7 6 6 5 4 4 5 6 6 7 7 8 6 3 -0 -0 -0 1 2 3 3 5 6 7 8 8 7 6 4 4 4 4 3 2 2 1 1 2 2 2 2 2 2 2 2 2 2 4 7 12 15 13 8 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 6 3 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 5 8 10 13 15 18 22 23 22 23 21 16 21 28 13 -4 0 3 3 2 2 2 2 2 3 3 3 4 4 5 7 8 8 9 9 8 9 12 13 10 9 5 6 8 5 5 5 4 5 6 5 4 4 6 7 8 9 8 4 4 6 5 2 -0 5 9 7 4 8 10 7 3 4 10 14 11 8 8 10 12 18 20 13 6 6 9 8 4 2 6 9 5 6 5 7 16 26 33 29 16 7 8 13 15 13 10 7 7 8 13 17 11 5 5 4 4 3 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 5 3 2 1 2 2 3 3 3 4 4 6 7 7 6 5 5 4 3 2 2 3 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 2 3 3 3 5 5 3 3 3 4 5 5 3 2 1 2 2 2 3 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 7 14 24 24 13 5 5 6 6 7 8 7 3 1 2 3 3 3 2 2 2 2 3 3 3 3 3 4 7 2 0 4 4 4 5 6 4 0 1 3 4 4 4 5 5 7 8 8 8 7 7 6 6 5 5 5 5 5 5 6 7 8 9 9 10 10 12 12 11 8 5 3 3 3 4 5 6 7 7 8 7 8 8 9 9 9 8 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 6 6 5 5 5 5 6 7 7 7 9 9 6 2 0 -1 0 2 2 3 4 5 6 7 7 7 6 6 5 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 2 3 5 9 12 11 8 5 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 8 8 6 4 2 1 1 2 2 2 2 2 2 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 5 8 12 16 19 20 21 21 18 19 21 15 11 19 22 8 -3 -1 4 4 2 3 3 2 3 3 3 3 4 4 6 7 7 9 11 11 9 9 11 12 12 11 4 2 9 7 7 11 9 1 -1 1 4 6 7 8 11 12 10 8 8 9 8 4 3 7 10 7 6 10 13 11 6 4 6 9 8 6 6 7 10 15 16 10 4 4 7 6 4 4 6 4 3 2 0 4 12 25 32 20 8 6 12 14 12 9 7 7 7 9 13 16 10 4 5 5 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 3 4 3 4 3 4 4 4 4 5 5 6 5 4 2 1 1 1 2 3 3 3 3 4 6 7 7 7 6 6 5 4 3 2 3 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 6 16 28 26 8 -2 0 3 3 5 9 11 6 3 4 4 3 2 2 1 1 2 3 3 3 3 4 6 9 6 1 2 4 3 3 5 6 3 2 3 4 4 4 5 5 6 7 8 8 8 7 6 6 6 5 6 5 5 5 5 6 7 9 9 8 9 11 13 12 10 7 5 4 3 4 5 6 7 7 7 7 7 8 8 8 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 5 5 5 5 5 4 5 5 6 7 7 8 9 10 9 6 2 0 0 1 1 2 2 3 4 5 6 7 7 6 6 6 7 7 5 4 4 4 3 3 3 4 4 3 4 4 3 3 4 4 5 8 9 7 5 4 4 4 4 4 4 4 3 3 2 2 3 2 3 3 3 4 4 4 5 5 5 7 8 8 7 4 2 1 1 2 2 2 2 2 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 3 6 13 17 19 20 18 15 12 13 19 20 11 9 13 10 4 2 1 4 3 3 3 3 3 3 3 3 3 5 5 6 6 8 12 17 17 13 10 8 5 5 7 3 -1 4 7 5 8 12 7 2 1 3 6 6 7 10 13 12 12 14 16 12 6 4 7 7 8 11 12 11 11 9 6 4 5 6 5 5 4 7 9 9 5 3 5 8 7 6 6 1 -2 1 -0 1 4 10 19 20 10 5 7 10 9 6 5 5 7 8 10 15 18 10 4 5 5 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 3 3 4 3 3 4 4 4 4 4 4 5 5 4 3 1 1 1 1 3 3 3 2 2 4 6 7 7 6 6 6 6 5 4 3 3 3 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 1 2 2 3 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 3 3 4 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 13 24 23 8 -1 -2 -2 -2 -1 3 9 9 7 6 4 3 2 2 1 2 2 3 3 3 4 6 7 9 10 5 3 3 3 3 4 4 4 3 3 4 5 5 5 5 5 6 7 8 8 7 6 6 6 6 6 5 5 5 5 5 6 8 8 8 8 10 11 12 10 8 7 5 5 5 6 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 5 4 4 4 5 6 6 6 7 8 8 9 10 9 5 2 1 1 1 1 1 1 2 3 4 5 6 6 6 7 8 8 7 6 6 6 6 5 5 5 5 5 4 5 4 4 4 4 4 5 6 5 5 5 5 6 6 4 3 3 3 2 2 2 2 2 3 3 4 4 4 4 5 5 5 6 7 8 9 8 5 2 1 1 2 2 1 1 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 8 14 17 16 14 10 9 8 12 19 17 8 6 7 3 2 3 3 3 3 3 3 3 3 3 3 4 4 5 6 6 7 11 16 22 23 18 10 3 -1 -1 2 3 1 1 2 2 3 5 6 7 6 5 6 6 5 6 9 14 20 21 14 4 2 5 6 6 11 14 11 7 6 7 6 5 5 6 6 6 5 5 5 4 4 3 5 8 7 5 2 -4 -3 -1 -3 2 7 10 16 13 4 1 2 3 2 1 3 6 8 9 11 15 16 8 4 5 5 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 5 6 6 6 6 5 5 5 5 4 4 4 3 3 3 4 4 3 3 4 3 3 4 4 4 4 4 4 4 5 5 4 2 1 1 2 2 3 3 3 2 3 5 6 6 6 6 6 5 5 6 6 4 3 3 4 5 4 5 4 4 4 3 3 3 4 4 3 3 4 4 4 4 5 5 4 3 3 2 1 2 3 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 5 6 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 5 9 15 16 10 5 2 -2 -2 -1 -3 -1 6 9 7 6 4 3 2 2 2 3 4 4 4 5 7 8 9 9 7 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 7 7 8 6 5 6 6 6 6 5 5 5 5 6 8 8 7 7 8 10 11 10 9 8 7 6 6 6 7 8 7 6 6 7 7 8 8 8 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 8 9 10 10 8 6 3 2 1 1 1 1 0 1 2 3 4 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 7 8 8 4 2 1 1 2 2 2 2 3 3 4 4 4 4 5 5 5 6 6 6 7 9 11 10 6 3 2 1 2 2 2 1 1 2 3 3 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 3 3 4 4 4 4 4 4 5 7 11 15 13 11 8 7 7 9 13 16 10 1 2 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 7 10 13 16 19 20 15 8 2 -1 -0 1 2 3 2 2 2 2 2 4 4 6 7 7 6 3 2 4 14 26 24 7 -3 1 8 9 9 10 10 8 6 5 5 4 4 5 7 7 7 6 5 6 8 6 3 5 8 7 2 -1 -1 1 3 0 5 11 14 16 7 -2 -4 -3 0 -0 2 7 9 9 10 10 11 13 9 5 5 5 4 4 4 4 4 5 4 4 4 4 4 3 3 3 4 6 7 7 6 6 6 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 4 3 2 1 1 2 3 3 3 3 3 6 8 7 6 6 6 5 5 6 6 5 5 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 5 4 5 4 4 3 2 2 3 4 3 4 3 3 3 3 3 2 2 2 1 2 2 2 2 2 2 2 1 3 6 6 5 4 4 3 3 3 2 2 2 2 3 3 4 4 5 5 5 5 5 5 5 6 9 10 9 10 12 8 5 4 -1 -3 3 9 9 7 5 4 3 3 3 3 3 4 5 6 8 10 11 9 7 5 4 4 3 3 4 3 4 4 4 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 6 6 6 5 5 5 6 7 7 7 7 9 10 10 10 10 9 8 6 6 6 7 7 6 6 6 7 8 9 9 9 9 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 8 8 9 9 9 7 5 4 3 2 1 0 0 0 1 2 3 3 4 5 5 6 6 6 7 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 6 8 9 8 5 1 0 1 1 1 2 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 11 14 12 8 4 2 2 2 1 1 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 5 7 11 14 14 11 8 8 7 8 9 12 12 2 -5 -1 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 8 12 12 12 11 10 10 7 3 0 1 4 6 7 6 3 3 3 3 3 3 7 11 8 6 3 3 5 15 26 20 6 4 11 16 16 12 7 7 7 7 6 6 4 3 5 7 6 7 9 8 12 15 11 6 8 8 5 3 4 4 4 6 6 9 13 19 13 1 -2 -1 2 4 5 9 12 10 10 10 8 9 15 13 6 5 5 5 4 4 4 4 4 5 4 4 4 4 4 3 4 5 6 7 7 6 6 5 5 5 5 5 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 3 1 1 2 3 3 3 3 3 6 9 10 8 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 4 4 5 5 4 4 4 5 5 4 4 4 3 3 3 4 4 4 3 3 3 3 3 2 2 2 1 2 2 3 3 2 3 2 2 3 6 7 5 4 3 3 3 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 6 7 7 7 10 16 16 9 6 4 2 5 8 8 8 6 4 4 4 5 4 4 4 5 7 9 10 11 10 8 5 4 3 3 3 3 4 4 4 4 4 5 5 5 5 4 5 5 6 6 7 7 6 5 5 5 6 6 5 5 5 6 7 7 7 7 7 9 10 10 11 10 9 7 6 6 6 7 6 6 6 6 7 8 9 10 10 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 5 5 5 6 6 6 6 6 7 7 6 6 6 6 7 9 9 9 8 6 5 3 2 1 1 1 1 1 2 2 2 3 3 4 4 5 5 5 5 6 6 6 7 7 7 7 7 6 7 7 7 6 5 5 6 7 7 4 2 1 1 1 2 2 3 4 4 4 4 4 4 4 5 5 5 6 6 6 6 8 13 16 13 8 5 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 4 4 4 4 5 4 6 10 12 12 9 8 7 7 8 8 8 10 13 2 -6 -2 2 2 3 3 3 2 3 3 4 4 4 4 4 4 5 6 6 9 11 9 8 6 6 9 10 7 2 1 2 7 14 12 5 1 2 4 5 10 11 11 7 5 5 6 8 17 20 11 5 10 15 16 14 9 7 7 6 5 6 6 4 4 5 7 6 8 10 11 13 16 15 13 11 7 6 9 8 4 2 4 8 11 16 20 7 -4 2 10 11 11 13 16 14 11 10 9 8 10 16 14 7 4 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 7 6 6 5 5 5 5 5 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 2 1 1 2 3 3 3 3 5 9 12 10 7 5 6 7 7 6 5 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 2 2 1 1 1 2 2 3 4 4 3 3 3 4 6 6 5 4 4 4 4 3 2 2 2 2 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 7 13 18 11 4 6 6 5 8 8 7 7 6 6 6 6 5 4 4 5 7 9 10 11 10 8 5 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 6 7 7 7 7 8 9 10 10 10 9 8 7 6 7 7 6 6 5 5 6 7 8 9 9 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 6 5 5 5 6 5 6 6 7 6 5 4 4 5 6 8 10 10 10 9 7 6 5 5 3 0 1 1 1 1 2 2 2 3 3 4 4 4 4 5 5 6 6 6 6 6 6 7 7 8 7 6 5 5 5 5 4 3 2 2 2 2 3 4 4 4 5 5 5 4 4 5 5 5 6 7 7 5 5 9 13 14 12 9 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 5 5 5 4 5 6 8 9 7 6 6 6 7 8 8 8 12 16 7 -2 -1 2 2 2 3 3 3 3 4 4 4 4 4 4 4 5 6 8 10 9 8 8 7 9 12 12 9 6 2 -0 3 10 14 9 3 0 2 5 10 9 3 2 5 8 8 12 19 16 5 3 6 6 5 5 5 7 7 4 2 5 5 4 5 5 6 7 7 9 13 14 15 15 14 9 4 5 8 6 2 0 4 9 14 22 18 2 -4 6 17 18 18 19 18 14 11 10 8 7 10 14 14 7 4 5 4 4 4 5 4 4 4 4 4 5 4 4 4 5 6 6 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 2 1 1 2 3 4 3 4 7 11 12 9 6 5 6 7 7 7 6 5 4 4 3 2 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 1 2 2 2 3 4 4 4 4 4 5 6 6 5 4 4 3 3 1 0 1 0 2 3 3 3 3 4 4 5 5 5 6 6 6 5 5 5 6 10 17 12 2 3 7 7 7 7 7 7 7 8 7 6 5 4 4 5 6 8 9 10 9 8 5 4 3 3 3 3 3 3 3 4 4 4 4 4 5 6 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 8 8 9 10 10 9 8 8 8 8 8 7 6 5 5 5 6 6 7 7 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 5 4 3 3 4 7 8 10 11 12 11 11 12 11 7 2 -0 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 5 5 6 6 7 7 7 7 6 5 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 6 7 7 6 5 5 8 11 13 12 10 9 8 8 8 6 4 3 2 3 3 4 4 3 3 3 3 3 2 3 3 3 3 3 4 4 4 5 5 4 4 5 6 7 5 6 7 7 7 8 8 9 15 17 9 0 1 2 2 3 3 3 4 4 4 4 4 4 4 5 6 8 10 12 13 10 9 10 9 10 13 10 10 10 6 2 -0 3 9 9 5 2 1 2 4 5 2 2 7 9 7 11 19 16 8 5 3 2 4 5 5 7 7 3 2 4 5 3 4 4 7 8 7 9 14 17 18 17 15 11 5 4 4 -0 -2 1 5 11 21 25 14 -0 -2 8 17 20 19 17 13 10 10 10 8 7 8 12 14 9 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 3 4 5 4 4 4 4 4 4 4 5 5 4 4 5 5 6 5 3 2 1 1 3 4 4 4 5 8 11 10 8 5 5 6 6 7 6 6 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 3 3 3 2 2 1 2 2 2 3 3 4 4 4 4 4 5 7 6 5 4 3 2 -1 -6 -8 -6 -6 -4 -0 3 4 4 4 5 5 5 6 6 6 6 5 5 5 5 8 15 13 4 3 7 8 7 7 6 7 8 9 8 6 4 3 3 4 5 7 8 9 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 6 6 6 7 7 6 6 5 6 6 6 6 6 6 7 8 7 7 7 8 8 8 7 8 9 9 9 9 8 7 6 6 6 6 6 6 6 6 7 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 5 4 3 3 4 5 6 8 9 11 12 14 18 17 11 4 0 1 2 3 4 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 5 5 6 7 7 7 7 5 5 5 5 5 5 4 5 5 4 3 4 4 4 5 4 5 5 5 5 5 6 6 7 7 6 4 4 7 10 11 11 12 13 12 10 7 4 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 7 7 7 7 6 7 9 10 12 14 12 5 2 2 3 3 3 4 4 5 5 5 5 4 5 7 9 11 13 15 16 15 10 8 9 9 9 8 7 7 8 8 6 4 3 3 4 4 5 5 3 3 4 4 3 2 4 5 5 10 13 11 8 5 4 7 7 6 7 7 4 3 5 5 4 4 6 7 7 10 13 17 17 15 13 14 17 16 8 -0 -4 -3 0 5 13 24 21 8 -0 1 10 15 16 15 11 8 7 8 9 8 7 9 15 18 10 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 5 4 4 5 5 6 6 5 3 1 1 2 4 5 4 4 5 7 9 8 6 5 5 6 6 6 6 6 5 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 5 5 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 4 4 4 5 6 7 7 6 5 3 1 -2 -6 -9 -10 -10 -10 -10 -8 -2 2 3 4 4 4 5 6 6 6 6 5 5 4 4 6 12 12 6 4 6 7 8 7 7 7 7 8 8 6 4 3 3 4 5 6 7 7 8 8 8 7 7 6 6 6 5 5 5 6 6 6 6 6 7 7 7 6 5 5 5 6 8 8 7 7 6 6 6 6 6 6 6 6 7 8 7 7 7 6 6 6 6 6 7 8 9 8 8 8 8 7 7 6 6 6 7 7 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 7 7 7 7 7 7 7 7 6 5 5 6 5 4 4 3 4 5 6 6 6 7 7 8 12 19 19 12 4 1 1 3 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 4 4 5 5 4 5 4 5 5 5 6 6 7 6 6 4 4 6 8 10 12 14 13 10 7 4 3 4 4 4 5 5 5 4 4 4 4 3 3 4 4 5 4 4 3 4 4 5 5 5 5 6 8 9 8 7 7 7 9 10 12 11 6 3 3 3 3 4 4 5 5 5 5 5 5 5 9 13 15 16 17 17 16 12 8 6 6 7 7 7 8 7 8 11 11 6 4 2 2 4 5 6 5 6 7 5 2 -1 -0 2 -1 0 8 9 4 3 6 8 6 6 7 6 5 5 5 6 6 6 7 6 5 10 19 22 19 14 10 9 13 18 14 5 -0 1 5 9 16 21 13 4 1 5 13 14 13 12 9 6 6 7 8 7 6 11 15 11 2 3 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 5 5 4 5 5 4 4 4 4 4 5 5 5 6 6 5 4 3 1 2 4 5 5 4 4 5 6 7 6 5 4 5 6 6 6 5 5 5 5 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 4 4 5 6 7 7 7 6 4 1 -2 -6 -6 -3 -1 -3 -4 -7 -8 -3 2 3 3 4 4 4 5 6 6 7 6 4 3 2 4 8 9 6 5 5 6 7 7 6 5 6 7 7 6 4 3 4 5 5 5 5 7 8 9 10 10 9 9 8 8 7 7 8 8 9 8 7 8 8 8 7 7 6 6 6 8 9 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 6 6 7 8 8 9 9 8 8 7 7 8 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 13 13 12 12 12 12 11 11 11 10 8 7 6 5 4 4 4 4 4 5 6 7 6 5 5 6 10 16 17 10 3 1 2 3 4 5 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 6 5 5 5 5 5 5 5 4 3 3 3 4 4 4 5 5 4 4 4 5 5 5 6 6 7 6 6 5 5 6 8 10 11 11 8 6 5 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 5 5 4 3 3 3 4 5 5 5 6 10 10 8 8 8 9 10 12 14 9 3 3 4 4 4 4 5 5 5 5 5 4 6 10 15 17 16 16 17 15 11 8 8 6 4 4 6 9 11 9 8 11 14 10 3 1 1 3 4 5 6 7 7 6 5 3 1 -1 -3 -0 6 5 0 -0 4 6 7 7 5 5 5 4 5 5 4 5 6 1 -0 7 16 17 16 18 17 9 8 17 26 24 13 6 8 13 18 16 8 4 6 11 16 15 14 11 8 6 6 7 7 7 6 9 9 1 0 5 8 7 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 3 2 2 3 5 5 5 4 4 5 6 6 5 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 6 6 7 8 7 5 -1 -9 -15 -12 -1 4 5 3 -0 -3 -2 2 3 3 3 4 3 4 5 6 7 7 5 3 2 2 4 6 6 6 6 5 6 6 6 5 5 6 6 6 5 5 5 6 6 6 6 6 8 9 11 11 10 10 10 9 9 9 10 11 10 9 8 8 8 7 7 7 7 8 8 9 10 8 7 7 7 7 7 6 6 6 6 5 6 6 7 8 7 6 6 5 5 4 4 5 5 6 7 9 9 10 10 9 8 9 9 9 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 15 16 16 16 16 16 15 14 14 13 13 11 9 7 5 4 4 4 5 6 6 6 6 6 5 5 8 13 14 10 5 2 3 3 4 5 5 6 7 7 6 6 5 5 5 5 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 5 4 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 7 7 8 8 7 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 4 5 5 7 10 9 8 9 10 12 13 16 15 6 3 3 4 5 5 5 5 5 5 5 4 5 10 16 16 14 12 13 13 8 5 9 11 10 6 5 7 10 10 7 3 6 11 12 6 2 2 3 3 4 4 2 3 7 8 6 3 0 1 4 4 4 5 4 0 1 5 6 6 5 3 3 5 5 3 3 3 -0 0 7 9 7 8 14 19 13 11 22 33 31 18 10 11 15 17 11 5 6 11 17 17 14 12 8 6 6 7 7 7 6 6 8 6 3 4 7 12 10 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 2 2 3 4 5 5 4 4 3 4 5 5 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 5 5 6 7 8 8 6 -1 -16 -31 -24 -5 4 5 5 2 -3 -7 -2 3 4 3 4 4 3 4 5 6 7 6 5 3 2 2 4 6 7 6 6 5 5 5 6 6 5 6 7 6 6 6 6 7 7 7 6 7 8 9 10 10 9 9 10 10 11 12 12 11 10 9 8 7 7 7 7 8 9 10 10 10 8 8 7 7 8 8 7 6 6 5 5 5 6 7 7 6 6 6 6 6 5 5 5 5 6 7 8 10 11 11 11 10 10 9 9 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 13 14 14 15 16 15 15 15 16 17 16 13 11 8 6 4 4 4 5 6 6 7 6 6 6 8 11 13 12 7 4 3 4 4 4 5 6 7 8 7 6 6 6 5 6 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 3 3 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 7 7 6 7 7 6 6 5 5 5 5 5 5 5 5 6 5 6 5 5 4 4 3 4 4 4 5 5 4 4 3 3 3 4 4 5 6 9 9 9 10 12 14 16 17 9 1 2 4 5 5 6 6 5 5 5 4 5 8 14 16 13 9 9 12 9 4 5 12 15 13 9 9 9 9 8 5 2 3 7 9 8 6 5 5 3 5 3 -0 2 5 6 5 2 2 4 5 5 8 17 14 4 1 3 4 6 6 4 3 3 4 4 5 5 5 6 6 1 -2 1 7 15 16 15 21 25 19 12 11 15 17 13 7 5 8 15 18 15 11 9 7 6 6 7 7 6 4 6 7 5 5 6 9 15 13 6 5 5 4 4 4 4 4 5 4 4 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 4 3 2 2 4 5 5 5 4 3 3 3 5 5 5 5 5 6 6 6 6 7 6 6 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 4 3 3 3 2 2 3 3 4 4 4 5 5 6 6 7 8 5 0 -13 -28 -23 -7 3 5 5 4 -1 -9 -11 -2 4 5 5 5 4 4 4 5 7 7 6 4 3 2 3 5 8 8 5 4 4 6 6 6 6 6 6 7 7 6 6 7 7 7 6 6 7 8 8 8 8 8 9 10 12 12 13 12 10 8 7 6 6 7 7 8 9 10 11 10 9 8 8 8 8 8 9 8 7 6 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 7 9 10 11 11 11 11 10 10 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 8 8 9 10 11 12 13 15 16 17 17 16 13 10 8 6 6 5 6 8 9 9 9 8 8 10 14 14 11 7 5 4 4 4 4 5 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 3 4 5 5 5 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 6 9 10 10 11 12 14 16 14 2 -2 3 5 5 5 6 6 5 6 5 4 6 10 14 12 9 7 8 10 7 6 9 14 16 14 9 7 6 6 6 5 4 5 6 6 8 8 8 8 7 8 6 3 1 1 2 3 3 4 4 5 9 15 18 14 10 7 4 5 6 6 4 3 3 4 5 7 7 7 8 7 -0 -5 -0 3 10 14 14 16 14 9 7 10 14 14 9 4 5 10 15 17 13 9 9 9 7 6 8 7 3 2 6 7 5 6 7 9 15 13 7 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 3 2 2 3 5 6 5 4 4 3 2 3 4 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 5 -0 -7 -10 -4 4 6 6 5 3 -4 -8 -1 4 6 5 6 6 5 5 5 6 7 7 6 4 2 3 5 7 8 5 5 5 4 4 6 7 6 5 6 5 5 5 6 7 7 6 5 5 6 5 5 6 7 8 9 10 11 12 11 10 8 6 5 6 6 7 8 8 9 9 10 10 10 10 9 8 8 8 8 7 7 8 8 7 6 6 7 6 6 6 6 5 5 4 4 4 5 5 6 7 9 10 10 11 11 11 11 10 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 3 4 4 5 7 8 10 13 14 17 18 19 17 14 11 9 8 9 11 12 13 12 10 9 10 12 14 14 11 8 6 5 5 4 5 5 6 6 6 6 7 7 7 7 7 6 6 5 6 7 6 5 4 3 3 4 4 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 4 4 4 4 5 5 6 6 6 6 5 5 4 4 4 5 9 14 14 12 11 10 12 11 7 1 0 4 5 5 5 5 5 5 6 5 5 6 9 10 8 6 6 7 9 9 11 13 15 18 17 10 4 2 3 5 6 7 7 6 6 7 7 8 10 12 10 8 6 3 2 1 2 3 4 4 6 14 19 14 9 7 6 4 4 5 5 4 3 3 5 6 7 7 6 7 9 8 3 1 2 4 6 10 12 10 7 6 8 11 9 4 1 5 11 16 16 11 9 11 10 7 7 9 7 2 2 7 7 5 6 7 11 16 15 8 4 5 6 6 6 5 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 5 5 5 6 5 4 2 2 3 5 6 6 5 5 5 4 2 2 3 3 4 5 6 6 5 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 7 7 6 6 7 7 7 7 6 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 6 5 5 5 5 7 7 4 1 2 5 6 6 6 5 -0 -6 -1 5 6 6 6 7 8 8 7 6 6 6 6 5 4 3 4 6 7 6 6 7 5 3 6 7 6 5 5 5 4 5 5 6 7 6 5 4 4 4 4 4 5 6 7 8 9 9 9 8 7 5 5 6 6 6 7 8 7 8 9 10 10 10 10 10 9 8 7 6 7 8 9 9 8 7 6 6 5 6 6 5 5 5 5 4 4 4 4 5 6 7 8 9 11 12 13 12 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 2 2 2 3 3 4 5 7 10 14 18 20 20 18 17 14 13 13 13 13 14 13 11 9 8 8 11 13 13 12 10 8 6 6 5 5 6 6 6 7 9 10 11 11 10 8 7 6 7 7 7 7 5 4 4 4 4 5 5 6 6 5 4 4 3 4 4 5 5 6 5 5 5 5 5 4 5 6 6 6 6 5 5 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 4 4 5 5 5 6 6 6 6 5 5 4 5 5 7 11 17 20 16 12 8 8 9 4 -0 2 3 4 4 4 5 5 5 5 5 5 5 6 7 7 7 6 6 7 8 9 10 12 14 18 19 13 5 3 6 7 5 3 4 6 7 6 6 7 7 10 10 8 10 8 6 4 3 3 4 5 7 16 20 13 7 4 3 4 4 4 4 4 3 3 5 6 7 7 6 7 13 19 15 6 1 1 4 7 6 5 5 6 9 10 5 -0 1 7 12 15 13 8 9 10 9 6 7 10 7 3 4 7 6 5 6 8 14 20 17 8 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 5 5 5 6 6 6 5 4 3 3 4 5 5 5 5 6 6 4 3 2 2 3 3 5 5 5 5 5 5 5 6 7 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 6 5 6 6 6 6 6 6 6 7 7 7 7 8 7 6 4 3 3 3 3 3 4 3 3 4 4 3 3 4 4 5 5 5 5 6 6 5 3 3 5 6 6 6 6 6 6 6 6 7 4 -7 -7 4 6 6 6 7 9 11 10 7 5 5 6 6 5 4 4 5 7 6 5 7 7 5 5 7 6 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 8 9 10 10 10 9 8 8 7 7 7 8 9 9 9 7 6 5 5 6 6 5 5 5 5 4 3 3 3 3 3 6 7 9 11 12 12 11 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 2 3 3 3 2 2 2 4 7 11 15 16 18 18 17 15 14 13 13 13 12 11 8 6 6 7 10 12 14 14 11 9 8 7 6 6 6 7 8 10 12 13 14 14 13 11 8 6 6 7 7 7 5 4 4 5 5 5 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 6 6 5 5 6 7 7 5 5 4 4 4 4 5 5 5 6 6 6 5 5 4 5 5 6 7 7 7 6 5 4 5 6 8 13 19 23 22 16 10 5 7 6 -1 -3 1 4 3 4 4 4 4 5 6 5 6 5 5 6 6 6 8 8 7 6 5 5 7 10 14 16 15 9 5 6 6 5 3 3 4 5 6 6 6 5 6 8 10 12 11 8 7 5 5 4 4 8 16 18 11 5 4 4 3 2 2 5 5 2 5 9 7 6 6 6 9 15 19 16 9 4 2 3 6 4 2 3 5 8 7 3 1 6 12 14 13 9 6 8 9 8 6 9 11 6 4 5 5 4 5 6 11 20 22 13 5 4 6 7 7 8 6 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 5 5 5 5 6 6 6 5 4 3 3 4 4 4 4 5 5 6 6 4 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 7 6 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 5 5 5 6 6 5 3 3 5 5 7 11 12 7 6 6 6 6 6 -0 -4 2 5 5 5 5 8 11 12 10 7 5 5 5 5 5 5 6 6 6 5 5 5 3 5 7 6 5 5 5 5 5 6 7 7 6 5 4 4 4 4 5 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 5 6 7 7 7 8 8 8 9 9 8 8 8 7 7 7 8 9 9 9 7 6 6 6 6 6 6 6 6 4 4 3 2 1 3 4 5 7 9 10 11 10 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 3 4 4 2 1 2 2 4 6 9 12 13 14 14 12 12 11 11 12 11 9 8 6 6 7 9 12 14 14 12 10 9 8 8 8 8 8 9 10 11 13 16 17 15 10 6 5 6 8 8 7 5 5 5 5 6 6 7 7 5 5 4 4 4 5 5 4 4 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 7 8 7 6 5 4 4 5 5 4 5 5 6 6 5 5 5 5 5 6 6 7 6 6 5 4 4 6 9 13 16 19 21 21 17 12 10 10 4 -3 -2 2 3 3 3 4 4 5 5 5 6 5 5 5 6 7 9 9 8 8 7 4 2 3 6 7 11 14 12 7 5 5 6 5 5 6 5 5 5 5 4 3 6 9 9 11 11 10 9 7 6 5 10 17 15 8 5 5 5 4 3 4 6 6 3 9 15 10 6 6 8 11 11 5 -1 1 6 7 6 7 7 5 4 5 5 4 4 7 13 15 14 10 7 6 8 7 6 8 11 10 6 4 4 4 4 6 9 15 23 19 7 2 4 6 8 8 8 7 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 4 4 3 4 4 3 3 4 5 6 6 6 5 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 7 7 7 7 6 4 3 3 3 3 3 4 5 4 4 4 5 5 5 6 6 5 5 5 5 6 6 5 4 5 5 8 15 15 9 6 6 6 6 3 -2 -3 3 6 5 4 4 6 8 9 10 8 6 6 5 5 5 6 6 6 6 6 7 6 -0 2 7 6 5 5 5 5 6 6 6 7 6 5 5 4 4 5 6 5 5 4 5 5 5 4 5 5 5 5 5 4 4 4 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 6 5 5 6 5 6 6 6 6 4 3 2 2 3 5 6 7 8 8 8 10 11 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 4 4 4 4 4 4 3 3 2 2 4 5 7 8 9 10 11 11 12 13 13 12 11 10 8 8 9 11 12 13 12 11 9 9 9 9 9 8 7 6 7 9 12 16 16 11 6 5 6 8 9 8 6 5 5 6 7 7 7 7 6 4 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 8 9 9 7 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 3 6 10 13 15 15 13 11 15 19 21 19 12 2 -1 1 3 3 3 3 4 4 5 5 5 6 5 5 7 9 11 11 9 7 8 10 7 4 3 4 4 7 12 12 8 7 7 7 6 6 6 5 5 4 5 4 5 6 6 7 8 9 10 11 11 10 10 13 14 10 5 4 5 6 5 5 5 6 6 6 11 15 11 7 7 11 15 12 2 -2 2 9 13 13 9 10 9 6 4 6 5 8 13 16 16 12 8 5 7 8 7 7 9 10 8 5 3 4 4 5 7 12 20 23 14 3 3 5 6 8 8 8 7 6 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 3 2 3 4 5 6 6 6 5 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 7 6 6 6 7 8 7 6 4 2 2 3 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 6 8 11 11 8 5 6 11 16 13 7 6 7 7 6 5 -3 -8 -0 6 6 5 5 4 5 7 9 7 4 5 4 3 4 5 6 7 7 6 7 10 4 1 6 6 5 5 5 5 6 5 6 6 6 6 5 5 4 5 5 6 6 6 6 5 6 5 6 6 7 6 5 3 2 2 3 4 4 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 5 5 5 5 4 5 6 6 6 5 3 2 3 4 5 6 6 6 7 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 3 2 3 3 4 5 7 9 10 11 11 12 13 13 13 12 11 11 11 12 13 13 12 11 10 10 10 10 9 7 5 4 5 8 12 14 12 8 6 6 7 8 8 7 5 5 6 7 7 7 6 5 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 7 7 8 8 7 5 5 4 4 4 5 5 5 5 4 4 4 4 4 5 6 6 5 5 5 4 4 5 8 12 15 14 13 14 12 8 12 21 23 17 6 -1 1 4 3 3 3 4 4 5 5 5 5 5 6 9 13 13 12 11 8 6 7 9 9 6 3 3 4 7 9 7 7 8 8 6 8 6 4 4 5 4 4 3 4 5 4 3 3 4 6 9 12 13 14 16 12 6 4 4 5 5 6 6 5 4 5 6 10 11 8 7 10 13 18 19 14 11 13 13 9 7 6 9 7 2 3 7 9 12 14 15 14 10 7 6 8 8 7 8 9 8 6 4 3 4 5 7 10 15 22 21 9 2 4 5 6 7 7 7 7 7 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 4 4 4 4 5 5 5 4 5 5 5 6 6 5 5 5 5 5 5 4 3 3 4 6 6 6 6 6 5 4 4 5 5 5 6 6 6 6 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 7 6 6 6 6 7 7 7 6 4 3 2 3 4 5 6 6 6 6 6 6 6 6 6 6 7 6 6 7 10 13 12 9 9 9 11 12 8 7 7 7 7 6 7 1 -7 -4 4 6 5 5 5 5 6 8 9 6 4 4 4 3 2 3 6 7 7 6 7 7 4 5 5 5 5 5 5 6 6 6 6 6 7 7 6 5 5 5 6 6 6 6 6 5 5 6 7 8 7 5 4 3 2 2 2 3 4 5 6 6 6 6 7 7 7 7 8 8 8 8 9 8 8 8 8 7 7 6 6 6 5 4 5 5 6 6 5 4 4 4 5 6 5 5 5 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 5 4 4 3 3 3 4 6 7 7 7 9 11 12 13 13 12 11 12 13 14 14 13 11 11 11 12 12 12 10 8 5 3 5 8 11 12 10 7 6 6 7 8 7 6 5 6 7 7 6 5 4 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 8 8 7 5 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 6 8 11 14 17 20 19 16 11 9 13 16 15 18 21 16 7 0 -2 2 4 3 3 3 4 5 5 5 5 5 6 11 17 18 14 10 9 9 7 7 10 11 8 6 4 4 6 4 2 3 5 4 6 7 4 1 1 2 2 2 1 1 1 0 -2 -1 2 4 6 9 11 14 16 10 4 3 4 4 5 5 6 5 4 3 6 7 4 1 4 9 12 15 19 19 16 13 7 1 -1 4 8 3 -1 3 8 9 10 11 12 12 9 7 8 9 8 8 8 9 8 7 4 3 4 6 9 12 16 21 18 7 2 4 5 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 4 3 4 5 4 5 5 4 4 4 5 6 6 6 5 5 5 5 6 5 4 4 5 7 9 8 8 6 5 4 4 4 4 5 5 6 6 6 6 7 8 9 9 9 8 7 6 6 6 6 6 6 7 6 6 6 6 5 6 5 6 6 6 7 6 7 7 6 7 7 7 7 6 4 4 3 4 5 6 6 7 7 7 6 6 6 6 6 6 6 6 7 9 11 11 9 9 11 12 11 8 7 10 12 10 6 6 7 4 -1 -1 4 6 6 6 6 5 5 7 10 11 9 8 7 7 6 4 6 7 8 8 6 4 5 5 4 5 5 5 6 6 6 7 7 7 8 8 6 6 6 6 6 5 6 5 5 5 6 6 6 7 6 6 5 4 4 3 3 3 3 4 4 5 6 6 6 7 7 7 7 8 8 9 10 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 5 7 8 9 9 9 10 10 11 13 14 13 11 10 10 11 12 13 12 11 8 5 4 6 9 11 10 8 6 5 6 7 7 6 6 6 6 6 5 4 3 3 3 5 5 5 5 5 6 5 6 5 5 5 4 4 4 4 5 5 6 7 8 7 6 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 3 4 9 15 21 26 30 32 29 23 16 9 6 10 16 20 19 14 8 3 1 0 2 2 2 3 3 4 5 5 5 5 7 10 15 17 16 11 8 8 10 10 10 12 14 13 9 5 4 2 1 1 4 6 4 4 3 4 3 3 3 3 1 0 -0 -2 -3 -2 -2 -0 3 5 7 9 11 11 7 4 4 4 4 4 5 5 5 4 3 4 5 2 -1 2 7 9 9 13 16 15 10 4 0 4 8 6 1 2 8 11 9 10 11 10 10 10 9 9 8 7 8 8 7 8 8 6 4 5 8 10 12 15 19 16 7 3 5 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 3 4 5 5 5 4 3 3 4 5 6 6 6 5 4 4 5 5 6 5 6 8 10 10 9 8 6 5 4 4 4 4 4 5 5 5 6 6 7 8 9 9 9 7 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 7 10 14 13 10 8 10 14 12 9 7 7 12 17 15 9 5 5 3 3 4 6 6 6 6 6 6 6 6 7 9 10 10 9 10 10 8 7 8 8 8 7 5 5 4 4 5 5 6 7 7 7 8 8 8 8 9 8 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 6 7 7 6 7 7 7 7 9 10 10 10 11 11 11 10 9 8 8 8 7 7 7 6 6 6 5 6 6 5 5 5 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 6 7 7 8 9 11 12 12 11 9 8 8 9 10 11 12 11 8 6 6 7 9 10 9 6 5 5 6 6 6 6 6 6 6 5 4 3 3 5 5 6 5 5 5 6 5 5 6 5 5 5 4 5 5 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 5 12 21 26 28 28 29 29 24 20 18 14 9 8 9 13 12 7 5 3 2 2 2 1 2 2 3 4 4 4 5 8 12 16 16 13 10 8 7 7 8 10 10 12 16 16 11 6 4 3 3 3 6 5 4 2 2 4 6 6 5 4 1 1 1 0 -0 -1 -1 -0 2 4 8 9 8 7 6 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 1 4 5 7 10 10 12 14 14 12 8 3 3 9 14 12 11 11 10 10 11 11 9 8 8 7 8 7 6 6 6 6 5 6 9 11 11 13 15 15 9 5 6 6 6 6 7 6 7 7 6 5 5 5 5 6 5 5 6 6 6 6 5 5 4 4 4 5 5 5 5 4 3 3 4 6 7 7 5 5 4 4 5 5 5 6 7 8 9 9 8 6 5 4 3 3 3 4 4 4 4 4 5 5 7 8 8 8 7 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 8 8 7 8 8 8 8 7 7 7 6 6 7 6 7 6 6 6 6 6 6 6 5 5 6 6 9 16 18 14 11 10 13 14 11 6 5 5 5 9 13 11 7 5 4 4 4 6 7 6 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 6 6 6 5 5 6 7 8 9 10 9 9 8 8 8 8 7 7 7 7 7 6 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 5 5 4 4 5 6 7 7 7 7 7 6 7 8 10 10 11 11 11 12 11 11 10 10 10 9 8 8 8 7 7 7 7 7 7 6 4 4 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 7 7 7 7 7 6 6 6 6 5 5 6 6 7 7 7 7 7 8 10 10 10 9 10 10 9 8 7 6 6 5 5 7 8 8 6 4 3 3 4 3 3 3 4 4 5 6 8 10 11 13 16 17 15 11 8 7 5 4 4 5 6 8 9 10 9 6 4 4 4 4 5 5 5 5 6 5 5 5 6 7 7 7 6 6 7 7 6 5 5 5 6 6 6 5 5 4 3 2 2 1 1 1 1 3 3 3 3 3 6 10 13 16 17 14 10 14 21 20 16 12 10 6 2 1 1 0 -2 -2 0 5 8 10 11 12 10 8 7 7 8 8 8 8 7 6 5 5 6 8 9 8 6 6 5 5 6 7 7 8 7 7 8 7 4 4 5 5 4 5 7 10 11 12 15 14 10 6 5 6 6 6 4 3 5 8 11 10 8 6 5 3 3 4 6 10 11 9 5 3 4 8 11 12 13 12 9 6 7 7 5 5 7 7 6 6 6 6 2 -1 3 7 8 9 6 5 6 9 12 12 10 9 8 7 6 7 8 7 6 8 9 7 8 8 4 3 4 4 5 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 5 3 3 5 7 7 5 5 6 6 6 6 7 7 7 5 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 7 9 10 10 9 8 7 7 6 6 6 5 5 5 5 4 3 3 3 3 3 4 5 5 5 5 5 6 5 7 10 14 14 10 7 10 15 15 8 5 5 6 6 6 6 6 6 8 9 7 6 5 4 5 6 6 6 7 7 8 8 9 9 7 5 4 7 12 16 16 12 9 6 5 4 5 5 6 6 6 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 6 7 7 7 8 9 10 10 9 7 6 6 6 6 5 5 4 3 3 4 5 5 6 7 7 8 8 8 8 10 12 13 13 12 11 10 10 11 11 12 10 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 8 10 12 12 14 15 14 13 12 11 15 18 20 14 8 6 5 5 4 6 8 11 13 14 15 16 16 14 10 11 12 13 15 15 15 14 13 13 11 12 12 12 13 14 14 13 13 12 13 13 14 14 14 13 12 11 10 10 10 10 10 10 11 12 16 19 20 19 16 13 9 7 7 7 9 11 11 12 12 13 14 14 15 15 14 13 12 12 12 13 13 13 11 9 8 8 9 10 10 12 13 13 14 15 15 15 14 14 13 12 11 11 12 13 13 13 13 12 12 11 11 12 13 13 13 12 11 11 11 12 14 15 14 13 12 12 12 13 11 11 12 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 13 12 11 10 9 10 14 22 24 19 16 15 14 13 12 12 12 12 13 13 14 13 12 12 11 11 12 13 13 13 14 15 15 14 13 13 13 13 12 11 11 13 15 15 14 13 12 11 11 13 14 14 13 12 13 14 14 15 15 14 13 12 12 13 12 11 9 9 13 17 17 16 14 13 13 12 12 13 13 13 13 13 14 13 12 13 14 14 13 13 13 13 12 13 12 12 12 11 11 10 10 11 11 10 10 9 10 10 10 11 11 11 11 12 11 11 11 11 12 12 12 12 12 13 13 10 8 8 9 9 10 10 10 10 11 10 11 11 11 10 10 10 11 10 10 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 13 12 12 13 13 12 12 12 11 12 13 13 14 13 13 16 16 12 9 6 3 2 6 11 12 12 12 12 12 12 12 12 11 11 11 12 12 13 14 15 13 11 11 12 12 12 12 11 12 12 14 16 18 20 20 19 16 14 14 14 14 14 14 14 13 12 13 13 13 13 13 13 14 15 14 13 13 13 14 14 14 14 13 13 14 15 15 14 14 14 13 13 14 17 19 18 15 11 11 11 12 12 12 12 13 13 13 12 10 11 12 13 13 13 14 14 15 15 14 15 15 15 15 15 15 15 15 15 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 15 20 23 20 11 7 7 10 10 6 2 5 9 13 15 16 14 13 10 8 10 13 15 15 15 15 14 14 14 13 13 13 15 16 16 16 14 13 12 12 13 14 14 13 13 13 13 12 10 11 11 11 11 12 13 16 19 21 20 18 14 9 7 6 8 9 10 10 11 12 13 14 15 15 14 13 12 12 13 13 14 14 13 11 9 8 8 9 10 12 12 13 14 14 15 15 15 14 13 12 12 11 11 11 12 13 13 13 12 12 12 13 13 13 13 12 12 12 11 10 11 13 14 14 12 12 12 13 14 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 11 12 13 12 12 13 12 11 12 12 12 12 12 12 11 11 11 11 12 12 12 11 9 5 3 6 18 27 27 24 19 15 13 13 12 11 11 12 13 14 14 14 14 13 11 11 11 11 12 13 14 14 15 14 14 14 13 12 12 11 11 13 15 15 13 12 10 10 10 13 14 15 14 12 11 10 13 17 15 13 13 14 14 13 12 8 5 8 12 15 16 16 16 14 13 12 13 13 13 13 13 14 13 13 13 14 14 14 13 12 12 12 12 13 12 12 12 11 11 10 10 11 11 10 10 10 9 10 10 11 11 11 11 12 12 11 12 12 12 12 12 11 11 12 11 10 9 9 10 10 10 10 10 11 11 10 10 10 10 9 10 9 10 10 10 9 9 9 10 10 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 12 12 11 10 11 11 12 12 12 13 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 12 7 4 3 5 7 11 13 13 13 12 12 12 11 11 11 11 11 11 12 13 15 18 16 13 11 11 12 13 13 12 13 13 13 14 14 13 13 13 13 13 13 13 14 14 14 14 14 13 13 13 14 14 13 13 13 14 14 13 12 12 13 15 15 15 13 13 12 13 14 14 14 14 14 14 14 15 16 17 16 12 11 12 12 12 11 12 12 12 11 11 11 11 13 13 13 13 14 14 14 14 14 15 15 14 14 14 14 15 15 15 16 nan
nan nan nan nan nan 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 9 8 2 2 8 12 15 14 13 12 10 9 11 16 17 17 16 15 14 14 13 12 13 13 14 16 16 16 15 14 13 12 12 12 12 13 13 14 14 14 14 13 12 12 12 13 15 17 19 21 22 20 16 12 8 6 7 8 8 9 11 11 11 12 14 15 16 15 14 13 13 14 14 15 15 13 12 10 9 10 10 11 12 12 14 14 14 15 15 15 14 13 12 10 10 10 10 11 12 12 13 13 13 14 13 13 13 13 13 12 12 11 11 11 12 13 13 12 11 12 13 13 13 12 11 11 12 12 12 12 12 12 12 12 12 12 10 10 12 11 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 7 3 1 5 13 21 27 28 23 17 14 13 12 12 12 13 13 14 14 15 14 13 12 11 11 12 13 13 13 14 15 15 15 14 14 14 12 12 12 13 14 14 13 11 10 10 11 14 15 15 13 11 9 11 16 14 13 13 13 14 15 15 13 9 7 8 11 13 14 16 15 14 14 13 13 13 13 13 13 14 13 13 13 13 13 13 12 12 12 12 12 13 12 11 12 12 11 11 11 11 12 12 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 10 10 10 11 12 12 13 13 12 12 13 12 12 12 12 12 12 14 15 16 15 15 13 9 8 8 11 13 14 15 14 14 12 12 11 12 12 11 12 11 11 11 13 14 16 17 15 13 12 12 13 13 13 13 12 13 14 13 13 12 11 13 13 13 13 13 14 15 15 15 14 13 12 13 14 15 15 13 14 14 14 12 11 13 15 16 15 14 14 12 12 12 13 14 14 14 15 15 16 15 15 17 15 12 12 12 13 12 12 12 12 12 11 11 12 13 14 14 13 13 13 13 13 14 15 14 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 13 16 15 12 12 15 19 21 20 18 16 13 12 11 12 11 11 11 12 14 16 16 15 15 14 12 11 11 11 11 12 12 13 13 14 14 13 14 14 16 18 21 24 24 22 18 14 10 7 6 7 8 9 9 10 11 10 12 14 15 16 16 14 15 15 15 16 16 14 13 12 11 11 11 11 12 12 13 13 14 15 14 14 13 13 12 11 10 10 10 10 11 12 13 12 12 13 14 14 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 13 13 13 12 12 12 11 11 12 12 12 13 13 13 13 12 12 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 11 11 11 10 11 12 9 4 1 2 8 17 31 33 21 15 14 13 13 12 13 13 13 15 15 16 15 13 12 11 12 13 13 12 12 13 15 17 16 14 15 14 14 13 13 13 12 12 12 11 10 11 12 13 14 14 12 11 12 13 13 13 13 13 13 14 16 15 14 10 8 8 10 11 13 14 14 14 13 13 13 13 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 12 12 11 11 11 12 12 12 12 12 11 12 12 12 12 12 13 14 13 14 13 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 13 16 16 15 13 12 11 11 10 12 15 15 15 13 13 13 13 12 11 12 12 12 12 11 11 12 13 15 17 17 15 14 13 13 12 12 12 12 12 13 13 13 12 11 12 13 13 13 13 14 14 14 14 14 13 13 13 13 13 14 15 15 15 15 14 12 12 13 16 16 15 13 13 13 13 13 13 13 13 13 13 15 16 16 16 16 15 14 13 12 12 12 12 12 13 12 11 11 12 13 13 13 13 13 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 13 10 10 10 11 12 12 13 14 15 15 16 16 15 13 12 11 11 11 11 10 11 11 11 12 13 14 14 14 16 19 22 24 23 20 15 10 7 6 7 8 9 10 10 10 11 11 13 14 15 16 16 16 15 15 16 16 15 14 13 12 11 11 11 11 12 13 13 13 14 14 13 13 13 12 11 11 11 11 11 11 12 12 13 13 13 12 13 12 12 13 12 12 12 11 12 12 12 12 13 13 12 12 12 12 13 12 12 12 11 11 12 12 12 12 12 12 13 14 13 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 12 13 11 8 3 0 4 24 36 28 21 16 13 13 13 12 13 13 14 15 15 15 15 14 13 12 13 13 12 9 9 13 17 16 14 15 14 14 14 15 14 11 10 10 11 11 12 12 12 13 12 11 12 12 12 12 12 12 12 13 13 14 14 13 12 11 10 10 9 10 12 13 13 13 12 12 13 14 14 13 14 14 14 14 14 14 14 12 12 12 12 12 12 13 13 13 12 11 11 12 12 13 14 14 15 15 15 15 16 16 16 16 15 14 14 12 11 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 10 10 10 10 10 9 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 12 13 12 11 12 14 16 14 11 9 9 11 12 11 12 14 15 14 12 12 13 12 12 12 12 12 12 12 12 12 12 13 16 19 19 19 15 13 13 13 12 11 12 13 14 13 11 11 10 10 11 13 13 13 13 13 13 12 13 14 14 14 15 14 14 15 14 13 14 14 13 13 15 15 14 12 12 12 13 13 13 13 14 14 14 13 14 14 14 14 16 16 14 12 12 11 11 12 13 13 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 5 6 5 5 4 4 4 4 4 4 5 8 15 22 30 37 39 36 29 22 14 10 11 11 10 10 8 5 2 0 0 0 1 1 1 0 0 0 0 0 0 0 0 2 6 10 13 12 10 10 9 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 22 23 23 20 19 19 19 18 15 12 12 17 22 24 24 24 24 23 21 17 8 5 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 26 45 71 97 112 102 89 87 81 70 62 64 66 78 63 55 55 49 49 40 20 21 29 14 2 0 1 9 27 45 72 99 104 100 92 81 73 73 76 78 93 94 83 77 90 109 121 125 123 121 120 119 125 138 151 158 166 164 159 152 148 144 137 130 127 127 130 136 148 160 166 168 171 170 168 174 182 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 6 5 5 4 4 4 4 4 3 2 4 8 13 21 30 34 32 25 15 10 9 9 7 4 4 5 5 4 3 4 5 5 4 1 0 0 0 0 0 0 3 6 8 10 12 10 10 9 8 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 24 23 23 21 18 16 15 14 10 7 5 6 9 16 21 22 22 21 21 20 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 29 35 52 80 101 95 78 74 59 46 28 14 13 2 2 7 4 6 8 17 3 2 3 1 0 0 0 1 8 32 54 87 108 111 110 101 87 85 93 98 102 102 101 107 112 114 118 120 120 119 116 114 119 129 136 144 157 168 172 162 149 140 135 136 132 127 127 133 145 158 158 159 164 164 159 161 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 5 6 5 5 5 5 4 4 3 3 2 2 3 4 7 15 25 31 29 21 13 12 11 8 3 1 4 7 8 9 11 12 12 9 6 3 1 1 0 1 3 6 9 9 9 8 8 8 8 6 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 28 25 22 20 17 13 9 6 2 2 4 5 6 6 10 14 18 18 17 17 16 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 20 24 43 62 65 59 62 61 50 39 27 17 15 8 3 2 1 0 4 8 2 6 5 1 0 0 0 0 6 31 54 82 110 120 127 122 106 97 101 106 108 108 112 119 121 120 117 120 123 123 122 120 121 124 125 134 149 167 175 167 155 145 141 140 140 138 136 136 141 148 150 152 156 155 148 150 158 160 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 5 5 5 5 5 4 3 2 2 2 2 2 2 5 11 19 26 26 20 17 18 16 10 5 6 9 12 14 16 18 17 13 10 9 7 5 4 5 7 8 8 8 6 6 5 5 5 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 25 21 14 9 4 1 0 0 1 3 5 6 6 6 6 8 8 6 8 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 15 31 33 30 35 47 56 52 36 29 30 33 26 18 13 5 0 3 4 2 3 4 1 0 0 0 10 42 68 81 96 116 127 136 136 124 111 111 114 115 116 118 122 126 120 114 116 120 123 124 125 126 125 126 132 145 163 174 170 161 154 150 149 151 153 151 144 137 134 140 148 153 153 150 154 160 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 3 4 4 5 5 5 4 3 2 1 1 2 2 2 3 4 7 12 20 24 24 25 24 20 15 12 13 15 17 19 20 20 17 16 15 14 12 9 8 8 7 6 5 4 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 2 3 5 6 6 6 6 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 3 0 0 0 3 7 12 16 11 7 15 29 40 42 29 22 27 33 35 35 32 16 2 0 0 0 0 6 24 34 13 10 43 86 95 94 99 112 122 130 132 126 120 118 121 122 121 121 122 126 122 115 112 113 115 117 117 119 123 127 134 142 153 162 160 152 149 148 150 157 166 171 165 148 132 134 143 150 154 154 160 161 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 6 5 3 3 3 4 5 5 5 4 3 2 1 1 1 1 2 2 2 3 5 13 20 24 25 23 19 16 16 16 17 19 19 19 18 18 17 16 14 11 9 7 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 3 4 6 7 7 7 6 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 28 33 20 7 2 1 3 8 8 4 2 2 4 9 16 20 17 15 19 24 32 43 45 32 19 14 14 10 8 23 67 82 62 45 71 106 105 96 95 103 110 111 110 112 116 120 123 125 125 124 124 125 124 118 112 109 108 106 104 105 112 124 134 141 144 143 136 129 128 131 136 146 162 179 185 170 146 136 138 141 144 149 160 157 146 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 19 16 11 8 5 3 2 3 4 4 5 4 4 3 2 2 2 1 1 1 1 2 2 4 9 14 17 18 16 15 15 17 17 16 15 14 14 13 12 12 11 9 7 6 4 4 3 2 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 1 0 0 0 0 0 1 2 3 2 2 3 4 6 7 6 5 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 2 16 39 55 59 48 27 12 6 7 8 3 0 0 0 0 1 2 4 6 9 13 15 22 42 46 44 44 55 62 66 54 59 96 107 109 99 114 117 110 101 96 99 100 95 90 96 108 117 121 123 124 125 125 126 125 122 118 112 107 100 95 95 102 115 129 140 144 138 122 112 109 112 117 124 142 169 185 179 164 149 140 134 134 142 155 156 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 20 20 17 13 9 6 4 4 4 4 5 5 4 3 3 3 3 3 2 2 1 0 0 1 2 4 7 8 10 10 11 13 13 11 9 8 7 6 6 6 6 6 5 4 4 3 2 2 2 2 3 3 3 3 2 1 1 2 3 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 2 4 3 3 2 3 5 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 32 52 58 57 48 36 25 18 11 5 1 0 0 0 0 0 1 0 0 2 4 2 16 46 52 56 67 86 96 101 102 108 109 113 119 121 121 117 111 106 103 104 99 86 80 86 97 107 114 118 121 123 126 128 127 125 122 119 113 104 94 89 95 107 118 134 147 146 124 106 99 99 104 108 122 146 165 170 167 159 147 135 131 141 153 156 153 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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16 13 9 6 7 6 6 6 7 6 6 5 5 6 8 9 13 24 39 53 66 74 78 81 82 82 84 83 76 68 62 62 67 74 80 86 90 92 91 91 92 94 94 93 89 82 72 67 67 74 88 101 97 84 70 59 54 56 55 49 44 44 47 50 50 46 38 28 23 20 14 6 1 0 0 0 0 3 6 6 5 4 0 0 0 0 0 0 2 8 14 18 17 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 4 4 4 4 4 3 2 0 0 1 1 0 1 2 2 2 1 1 1 2 2 2 2 4 7 11 13 14 16 15 12 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 3 13 12 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 1 4 11 16 15 10 3 0 0 0 0 2 9 15 18 18 20 26 38 62 81 90 88 83 80 79 81 88 94 89 76 64 57 53 47 42 38 35 35 42 52 65 78 91 104 114 120 121 119 115 112 111 115 124 135 142 139 115 96 81 70 58 51 57 64 76 93 106 97 80 66 56 45 41 48 51 41 24 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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16 16 17 16 15 14 13 13 14 14 12 8 5 2 1 0 0 0 0 0 0 0 0 2 4 7 11 18 25 29 35 47 59 64 62 56 51 52 54 56 56 58 59 60 61 64 69 71 74 80 88 96 98 97 94 89 79 67 66 81 97 100 94 83 69 52 37 29 24 19 19 27 36 40 37 30 26 25 26 26 25 23 20 16 10 8 6 2 0 2 8 10 7 4 5 10 10 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 1 2 3 4 5 4 5 5 5 5 5 6 6 6 5 5 5 5 5 7 9 14 20 24 25 24 21 18 15 12 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 20 20 19 18 18 16 14 13 13 12 11 10 10 11 13 19 28 35 38 40 41 40 38 36 34 32 31 29 27 25 23 21 20 22 26 31 31 22 10 0 0 6 23 33 34 33 44 68 91 92 76 61 64 76 90 99 106 110 112 114 118 122 125 125 123 110 90 81 91 112 116 104 93 87 82 70 52 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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30 29 29 28 28 28 30 29 28 27 26 25 24 24 25 26 28 30 31 28 20 15 14 14 14 14 12 9 7 10 16 20 20 19 19 25 30 25 18 13 9 6 6 8 14 20 31 42 52 61 72 84 92 105 112 108 102 106 111 112 105 99 98 100 108 118 122 119 108 93 77 62 53 47 44 48 53 53 48 45 46 52 58 57 51 41 35 33 34 34 30 22 14 10 10 10 10 9 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 0 0 0 2 4 4 5 5 6 7 7 7 9 14 17 14 12 13 17 20 19 16 13 12 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 1 4 7 10 19 15 19 31 36 29 17 8 4 1 0 0 0 2 2 2 4 8 12 17 24 28 31 33 34 34 34 33 32 30 29 28 28 29 30 31 31 31 30 29 27 24 19 13 7 4 4 6 10 18 20 29 47 65 70 68 65 62 57 52 56 74 83 68 55 46 40 36 36 41 50 59 69 80 91 100 107 114 126 138 150 157 153 141 126 107 93 89 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
31 31 30 29 28 28 29 29 28 27 26 25 24 23 23 26 29 31 33 33 26 18 15 15 16 16 14 12 10 11 16 19 18 16 17 23 30 29 21 14 11 8 5 4 4 5 10 16 23 30 39 50 63 94 117 114 104 101 102 99 93 88 88 93 104 118 123 120 110 96 80 65 56 50 46 49 55 58 55 50 48 54 65 71 66 54 42 35 39 40 34 24 14 9 9 11 11 11 11 10 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 2 4 5 5 5 6 7 6 6 9 15 18 16 12 12 16 18 16 13 10 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 25 34 33 33 36 33 24 16 10 6 2 2 2 4 6 8 9 12 16 21 26 27 29 30 31 31 32 33 33 32 30 29 29 29 29 30 30 30 31 30 29 28 27 25 19 12 5 4 5 7 14 18 25 39 59 77 85 86 90 83 62 60 74 87 79 65 55 46 40 36 37 43 52 62 72 87 98 102 105 112 121 132 144 151 154 148 143 130 110 91 79 nan nan nan nan nan nan nan nan nan nan nan nan nan
30 31 30 30 30 29 29 28 28 27 25 24 24 23 24 27 30 32 34 36 31 19 16 16 17 17 16 15 13 13 14 15 13 10 13 24 33 31 22 14 10 7 6 5 4 4 4 6 7 10 16 21 29 56 100 113 107 99 91 84 78 76 78 83 93 110 121 121 113 97 79 65 57 53 50 50 55 59 58 54 51 56 70 82 80 65 51 45 48 46 36 24 16 13 15 15 14 13 12 9 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 3 4 5 5 5 6 6 6 6 10 16 20 18 13 12 14 15 13 10 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 1 4 10 22 37 41 39 36 33 26 19 15 12 10 7 7 10 14 16 18 22 24 25 24 23 23 23 23 24 24 25 27 29 30 29 28 28 28 28 28 28 28 29 30 31 33 35 35 32 23 11 6 6 6 11 18 26 36 50 69 77 80 105 111 81 68 76 92 94 83 69 57 45 36 33 36 43 53 63 78 94 102 103 103 107 117 129 141 149 153 156 155 146 128 112 nan nan nan nan nan nan nan nan nan nan nan nan nan
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19 18 17 17 18 20 21 23 23 24 24 24 25 25 27 29 30 29 27 25 23 23 29 33 30 25 23 25 29 31 23 14 7 5 6 10 15 20 22 31 42 51 55 55 52 46 40 35 32 29 27 23 17 12 11 10 11 15 21 27 28 30 42 60 73 69 50 30 28 34 48 72 89 95 97 96 90 81 75 74 76 79 79 71 62 54 49 50 58 69 79 78 69 55 45 40 29 13 8 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 2 4 6 6 6 7 7 6 6 6 8 10 12 11 10 10 8 5 4 6 8 12 16 22 24 22 17 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 8 7 6 4 2 2 4 7 11 13 14 12 8 6 5 5 4 6 14 30 39 36 33 28 24 25 33 44 53 57 61 69 84 87 88 86 83 75 69 67 66 64 62 62 61 72 86 98 108 115 113 107 101 92 80 70 61 48 32 18 11 nan nan nan nan nan nan nan nan nan nan
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