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 4 4 3 4 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 4 4 4 4 3 3 3 2 3 2 2 3 2 2 2 1 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 5 5 4 5 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 6 6 7 8 9 9 9 9 9 8 8 8 7 7 6 5 4 5 6 7 6 5 4 4 4 4 5 5 6 8 8 7 6 5 4 5 15 18 12 8 5 5 4 8 13 16 14 10 3 1 12 12 0 5 8 7 8 8 5 -0 -4 -3 -1 3 3 3 4 4 6 8 5 1 -2 -4 0 6 6 5 4 3 3 5 5 3 3 3 4 6 8 9 11 14 12 4 2 5 6 6 3 1 5 16 33 43 38 28 18 8 4 5 5 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 2 1 1 1 1 2 4 7 10 11 8 5 5 5 5 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 3 4 4 3 3 3 3 3 2 2 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 5 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 3 6 11 13 9 6 5 4 6 4 -1 -3 1 2 -3 -6 1 3 -2 -5 -9 -11 -11 -8 -11 -16 -15 -16 -15 -12 -5 1 5 4 4 5 7 10 13 14 16 11 6 5 5 5 5 5 7 10 14 12 8 8 9 8 5 5 5 4 4 4 4 4 5 5 5 5 6 9 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 nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 4 4 4 5 5 4 3 3 3 4 4 4 4 4 5 5 5 6 6 7 6 6 5 5 4 3 3 3 3 3 4 4 3 4 4 5 5 4 4 3 3 3 3 2 3 3 2 2 1 1 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 3 3 4 4 5 4 5 4 4 4 4 4 3 4 4 4 4 3 4 3 3 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 7 8 9 9 9 10 9 9 9 9 9 8 8 7 6 5 5 6 6 6 5 5 4 4 4 5 6 7 8 7 6 5 4 5 9 19 22 15 9 8 9 6 8 13 17 14 7 0 -3 7 9 -0 1 4 3 3 7 9 4 1 2 1 1 0 1 3 3 4 5 4 3 4 4 3 4 4 3 1 -2 -1 1 0 -0 1 2 3 9 14 14 12 11 8 5 6 9 10 10 7 6 15 31 42 40 32 22 11 5 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 3 3 2 1 0 1 2 2 3 4 4 3 6 8 8 6 5 5 4 4 5 6 8 6 5 4 3 4 4 4 4 4 4 4 4 3 1 1 3 3 3 2 2 2 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 4 4 4 3 3 2 2 2 2 1 1 2 2 2 1 0 -0 3 7 3 -3 2 9 12 12 10 10 5 5 4 4 7 10 10 7 6 1 -3 -1 2 -2 -6 -8 -9 -10 -8 -2 3 4 4 4 4 5 6 8 10 9 6 5 5 5 5 5 5 8 10 9 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 9 9 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 nan
nan nan nan nan nan nan nan nan 5 5 5 4 4 3 4 5 4 3 2 2 3 4 4 4 4 5 5 4 5 5 6 7 7 6 6 5 5 5 4 4 5 5 6 5 5 5 5 5 4 4 3 3 2 2 3 3 2 2 1 1 1 2 2 2 2 2 3 4 4 4 5 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 5 5 5 6 6 6 5 5 5 5 7 8 9 9 9 9 10 10 10 9 9 9 9 8 8 6 5 5 5 6 6 5 5 4 4 5 5 6 7 7 7 6 5 5 7 15 23 19 12 9 8 6 2 5 11 14 10 5 1 -6 -3 5 4 -2 -3 -0 1 7 10 6 4 5 4 1 0 2 3 3 2 2 3 3 4 6 5 3 0 -3 -3 -2 0 -0 -4 -4 -1 4 7 10 13 14 12 5 2 4 6 9 11 11 9 13 23 33 32 28 22 14 6 4 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 2 2 1 2 2 3 4 3 2 1 2 7 13 14 7 5 5 4 5 6 8 7 5 5 4 4 4 5 4 4 4 4 4 5 3 2 1 1 1 1 -1 -1 2 3 3 4 4 3 4 4 4 5 5 4 4 4 3 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 2 2 2 2 3 3 3 3 3 2 2 1 1 1 1 1 1 1 0 -0 -0 2 0 -2 -0 5 9 11 12 13 10 9 9 10 9 8 7 7 9 8 3 1 4 6 3 1 -0 -0 0 0 2 4 4 4 5 5 5 5 6 7 6 7 7 6 5 5 5 7 9 9 6 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 4 3 3 3 4 4 3 2 1 2 3 3 3 3 3 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 5 4 3 3 3 2 3 3 2 2 2 1 1 1 2 2 2 2 3 3 3 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 5 5 6 6 6 6 5 5 6 7 9 9 9 9 10 10 10 11 10 10 10 10 9 9 7 6 5 5 6 6 5 5 4 4 4 4 5 7 7 6 6 5 5 5 7 8 9 10 8 6 4 1 5 11 8 6 6 5 -3 -4 2 7 1 -0 3 6 7 5 4 4 4 5 3 4 7 6 3 0 -0 1 2 3 3 3 3 1 -3 -4 -1 1 1 1 -0 0 5 8 8 10 15 13 5 3 4 4 7 10 10 12 19 27 28 24 19 14 8 5 5 5 5 5 5 4 4 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 2 2 2 3 3 2 2 2 3 4 4 3 2 -0 -0 2 9 15 11 5 6 5 5 6 7 7 4 4 5 5 5 4 5 4 4 5 5 5 4 4 4 3 1 0 -2 -3 -2 2 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 6 5 5 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 2 2 2 2 3 3 3 2 2 1 1 1 0 1 2 3 3 4 3 2 5 8 6 4 4 7 9 8 8 8 8 11 12 9 5 5 6 11 11 8 6 4 2 2 4 8 10 6 1 1 4 5 6 7 6 5 6 6 7 7 7 7 6 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 8 8 5 6 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 nan nan nan nan nan nan nan 5 6 5 4 4 4 3 4 4 4 3 2 1 2 2 3 3 4 4 4 3 2 2 2 3 4 4 4 5 5 6 5 6 6 6 6 6 6 5 5 3 3 3 3 2 3 3 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 6 6 5 5 6 8 9 9 9 10 11 11 12 12 12 11 11 11 10 10 8 7 6 5 5 5 5 5 4 4 4 4 5 6 6 6 5 5 4 1 -6 -12 -3 9 7 6 6 4 5 10 7 7 7 6 3 1 3 6 5 6 6 7 5 3 3 4 3 6 6 5 10 9 4 2 1 1 2 2 2 2 3 3 2 2 4 3 4 7 6 4 1 3 7 9 12 12 9 7 6 5 6 8 10 14 21 25 22 18 13 8 6 5 5 5 5 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 3 2 2 2 2 2 2 3 3 4 4 4 2 -0 -1 -0 3 8 13 8 7 6 4 5 6 6 5 4 5 4 4 4 4 4 4 5 5 6 5 4 3 4 4 2 -1 -1 5 7 6 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 6 5 5 5 4 4 5 4 4 3 3 3 3 3 4 4 3 2 2 1 1 2 4 6 8 11 12 10 9 13 12 7 4 5 7 6 6 5 5 7 14 14 10 8 6 10 15 14 12 9 4 2 5 11 15 13 4 -2 0 4 6 8 8 7 6 7 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 9 8 6 5 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 5 6 6 5 5 4 3 3 4 4 4 4 3 2 2 2 3 4 4 4 5 4 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 3 3 2 2 2 2 2 2 3 3 2 3 2 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 7 8 8 8 9 11 13 13 13 13 13 13 13 12 12 11 9 8 6 6 6 5 5 5 4 4 4 4 4 5 6 6 5 5 4 2 -0 2 6 3 -1 6 9 0 -8 -2 8 11 9 7 6 4 3 4 5 5 5 5 5 4 4 4 4 7 7 5 8 9 6 3 2 3 5 5 4 5 6 6 6 7 10 10 8 6 9 9 1 -0 9 11 10 8 8 8 7 6 7 8 11 17 21 19 15 11 8 6 6 5 5 5 5 4 4 4 3 3 3 4 4 3 4 3 3 3 4 4 4 3 3 3 3 4 4 4 3 3 2 2 3 2 2 3 3 4 4 3 2 0 -1 -1 1 4 10 15 14 9 5 4 5 5 5 4 4 4 4 5 4 4 4 5 5 6 6 5 4 3 4 4 3 0 0 7 11 9 6 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 6 7 7 8 9 8 6 6 6 4 4 6 9 10 13 16 15 12 12 11 7 4 4 6 8 8 6 3 2 8 14 15 14 11 12 15 15 13 10 6 4 5 8 13 14 9 1 -2 -1 2 6 8 9 8 8 8 10 10 10 8 6 5 5 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 5 5 7 9 8 7 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 5 6 6 6 5 4 4 4 4 4 5 5 4 4 3 3 3 4 4 5 5 5 5 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 2 2 3 3 4 4 4 3 3 3 3 3 4 3 3 3 3 4 5 5 5 5 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 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 5 6 6 5 5 6 7 8 8 10 12 13 14 14 15 15 14 14 13 13 12 11 9 7 6 6 6 5 4 4 4 4 4 4 5 6 6 5 5 4 4 6 16 21 10 -2 -0 2 -9 -17 -6 11 14 10 6 7 5 4 4 4 4 5 5 4 5 5 4 4 6 8 7 4 4 4 3 3 5 10 9 7 7 7 7 7 9 12 17 11 0 6 13 9 3 5 9 10 6 6 8 7 6 9 11 13 16 16 11 8 7 7 6 6 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 3 3 2 3 2 2 3 3 3 3 3 2 1 0 -0 0 2 5 14 24 21 12 5 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 1 0 4 6 6 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 5 6 6 7 8 10 12 14 16 17 15 11 10 10 9 7 7 7 9 9 9 11 11 9 6 5 5 6 7 8 9 6 3 2 6 9 12 13 13 12 10 8 5 4 4 5 6 8 10 11 7 0 -4 -3 0 5 8 9 9 9 10 11 11 10 8 6 5 6 6 6 7 8 9 10 11 12 13 12 10 9 8 7 8 8 6 6 8 9 8 7 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 4 5 5 5 5 5 4 4 4 4 5 6 6 5 4 4 4 4 5 5 6 6 5 4 4 3 3 4 4 4 3 3 3 3 2 2 2 3 3 3 4 4 5 4 4 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 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 5 5 5 6 5 5 6 7 8 8 9 11 12 13 15 17 16 15 14 13 13 12 11 9 8 6 6 6 5 4 4 4 4 4 4 5 5 6 6 5 5 5 4 7 14 16 9 2 -1 -8 -10 -1 9 11 6 3 5 6 6 5 5 5 5 5 4 4 4 3 3 6 6 6 2 1 2 3 4 8 12 10 7 6 7 7 8 8 7 14 16 2 4 12 10 8 4 7 9 4 4 7 8 10 12 13 14 14 11 5 5 7 7 7 6 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 2 2 2 3 2 3 3 3 3 2 1 0 0 2 5 10 21 33 32 16 5 5 6 6 6 7 6 5 5 6 6 6 5 4 5 5 5 4 4 5 5 4 5 4 3 1 2 4 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 3 3 4 5 7 8 10 13 15 18 22 22 17 11 9 10 9 7 6 6 5 4 6 9 8 6 5 5 7 7 6 8 9 7 4 2 1 3 7 8 7 5 4 4 4 5 5 6 5 6 9 11 8 1 -5 -6 -1 5 8 10 9 9 11 12 10 7 6 5 6 5 5 5 6 8 10 13 15 17 16 13 10 8 7 8 10 10 9 9 9 8 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 4 4 5 5 5 4 4 4 5 6 6 6 5 4 5 4 5 5 5 6 5 5 4 3 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 3 4 4 4 4 5 5 4 4 4 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 8 8 9 9 11 15 16 16 15 13 12 12 12 11 9 8 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 3 1 1 7 14 12 5 0 1 5 6 3 1 3 5 7 8 6 6 7 6 5 5 4 3 2 3 4 4 3 2 2 2 3 6 12 13 9 6 5 4 5 5 5 5 7 5 -1 3 10 10 7 4 6 8 6 7 10 11 12 12 12 12 11 7 5 6 8 7 6 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 2 1 0 1 4 9 14 22 32 36 24 12 8 6 5 6 6 6 6 5 5 6 6 6 5 6 6 6 5 6 6 5 5 5 4 4 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 2 2 2 1 1 1 1 1 2 3 5 6 8 9 11 14 17 19 20 17 10 7 9 9 8 7 5 4 4 5 7 5 5 5 7 8 6 5 7 9 9 7 3 1 2 4 4 4 4 4 4 5 5 5 5 5 8 12 15 10 2 -2 -5 0 8 10 9 9 9 10 9 7 5 6 5 4 4 4 4 6 9 12 15 17 16 14 10 7 7 8 10 12 12 11 10 9 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 2 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 4 4 4 3 4 4 4 4 5 5 5 5 4 5 6 7 7 7 6 6 7 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 6 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 7 7 7 7 7 8 10 13 15 15 13 12 11 10 10 10 9 7 6 6 6 6 5 4 3 3 4 5 5 5 5 5 6 5 5 4 3 1 2 9 14 10 8 7 7 5 3 4 5 5 7 8 6 5 6 6 6 5 4 3 2 2 2 2 3 3 3 5 4 7 13 11 7 5 5 5 6 3 2 6 7 -3 -5 4 6 4 2 0 4 7 8 11 13 13 10 7 9 11 9 6 6 8 8 6 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 2 3 3 2 2 2 2 3 3 3 2 1 1 3 7 11 14 17 21 26 28 26 17 11 9 7 6 6 6 5 5 5 5 7 7 8 7 6 6 7 6 5 4 4 5 5 6 7 5 3 3 3 3 3 4 4 5 5 4 4 5 5 4 4 5 5 4 4 4 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 2 2 2 2 2 1 1 -0 -1 -1 -1 -0 1 2 3 4 4 5 8 10 12 16 18 16 9 9 9 8 8 7 5 5 5 5 4 4 5 7 8 8 6 6 8 11 13 10 5 3 3 3 3 4 4 4 4 4 4 4 5 7 12 18 17 9 7 5 2 6 9 9 8 7 6 6 6 6 6 5 5 4 3 4 5 7 9 12 13 12 9 7 5 6 7 9 11 13 13 12 10 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 nan nan 3 2 2 2 3 3 3 4 4 5 5 5 4 5 5 5 4 5 4 4 4 4 5 6 5 5 4 4 4 3 4 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 7 6 6 7 7 7 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 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 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 6 7 6 6 6 7 8 11 14 13 11 10 9 9 9 8 7 6 6 6 6 6 6 4 3 4 4 4 5 7 7 6 6 5 5 5 4 4 6 10 14 12 10 6 4 4 8 10 8 6 6 7 5 6 7 6 7 7 5 4 3 2 3 3 3 3 5 6 5 7 9 8 6 5 4 7 11 7 4 12 16 4 -1 7 7 -4 -6 -2 4 6 8 10 13 13 10 10 12 12 7 5 6 8 7 6 6 5 5 5 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 2 2 2 1 2 3 3 2 1 1 3 6 9 11 12 11 12 14 20 25 23 20 18 15 12 10 9 7 6 6 5 5 8 9 8 6 5 5 3 2 3 5 6 7 8 9 7 3 2 2 3 4 4 5 5 4 4 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 2 1 1 1 1 0 -0 -1 -2 -3 -2 -2 -1 -1 -1 -0 1 3 5 7 10 15 16 11 9 10 9 8 7 6 5 6 5 3 3 4 7 11 13 12 10 8 7 9 9 5 3 3 2 3 3 4 5 5 4 4 3 4 7 10 14 16 12 8 8 6 6 8 9 8 6 5 4 5 6 6 6 5 4 4 4 5 6 7 8 8 7 5 3 4 5 6 8 9 11 13 13 11 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 nan nan
nan nan nan nan nan nan 4 3 2 2 2 2 2 2 3 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 4 4 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 7 5 5 5 5 5 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 6 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 6 6 8 10 12 12 9 7 7 8 7 6 6 5 5 6 5 6 6 5 4 4 4 5 8 9 7 6 5 6 6 5 4 5 10 13 14 8 2 -0 3 8 11 11 9 6 6 7 6 8 9 6 5 8 8 6 5 4 4 3 3 2 3 5 5 5 5 5 5 5 6 10 10 10 10 15 18 8 2 9 20 11 -2 -0 6 7 9 10 12 15 18 19 17 11 6 4 5 8 7 6 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 2 1 3 5 7 8 9 9 9 8 8 9 13 16 18 19 20 19 17 15 13 13 13 11 9 7 6 7 7 7 5 5 7 10 11 10 9 11 11 7 3 2 3 3 4 5 5 5 4 4 4 5 5 4 3 3 3 3 2 2 3 2 2 2 1 1 1 0 -1 -2 -1 2 3 3 3 3 3 2 2 2 2 1 1 0 1 1 0 -0 -1 -2 -3 -5 -5 -4 -5 -7 -6 -3 -2 -1 1 4 8 11 9 9 10 10 9 8 6 5 6 6 4 4 7 9 10 11 11 9 5 4 4 3 4 3 2 2 2 3 3 5 5 4 4 4 4 6 8 8 9 9 7 6 4 4 8 9 9 7 5 4 4 5 6 6 6 6 5 4 5 5 6 6 6 5 4 3 3 5 6 7 8 10 12 13 11 10 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 nan nan
nan nan nan nan nan nan 4 4 3 2 2 2 2 1 2 2 3 3 3 4 4 4 4 4 3 4 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 4 5 6 6 6 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 5 5 6 6 5 4 5 6 8 11 12 11 8 6 6 6 6 5 5 5 5 6 6 6 6 6 5 4 5 8 12 10 6 5 6 7 6 6 8 10 9 4 2 1 -5 -4 6 11 11 10 11 7 5 6 6 8 11 6 3 7 10 8 5 4 4 4 3 2 1 3 3 3 3 4 4 6 9 11 6 8 11 14 13 7 3 10 29 27 10 6 6 7 10 12 13 17 23 23 17 10 6 4 6 7 7 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 3 3 3 3 3 4 3 4 4 3 3 3 4 4 4 3 2 2 2 2 2 2 2 3 4 6 7 7 7 7 7 6 6 5 5 7 10 12 14 16 17 17 17 20 21 21 20 15 9 9 10 14 16 15 17 21 23 18 16 15 11 5 3 3 3 4 4 5 5 4 5 4 4 5 5 4 3 2 2 4 5 5 6 5 3 1 -1 -3 -5 -7 -7 -5 -3 -1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 -0 -1 -1 -2 -4 -7 -8 -9 -12 -11 -7 -5 -6 -4 -2 -0 4 7 8 10 10 8 7 7 6 4 4 4 4 6 7 7 7 7 6 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 5 5 6 5 5 6 7 7 5 3 6 9 10 9 7 6 5 4 5 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 12 14 13 11 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 nan
nan nan nan nan nan 5 5 5 4 4 4 3 2 2 1 1 1 2 2 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 2 3 3 3 4 5 5 4 4 4 3 2 2 3 3 4 4 5 4 5 4 4 4 4 4 5 4 5 5 4 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 6 5 4 5 4 4 4 4 4 4 4 4 5 6 7 5 4 5 6 8 11 12 10 8 5 4 4 5 4 4 5 6 7 7 6 6 6 6 5 4 9 10 6 4 5 6 7 7 7 12 14 4 -9 -11 -3 -3 0 12 13 8 7 10 10 4 4 6 8 11 8 3 4 9 8 5 3 3 3 4 3 3 2 3 2 3 4 5 7 9 5 1 3 7 10 9 5 1 7 20 21 12 9 7 8 12 14 15 18 22 21 15 10 6 5 7 8 7 7 6 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 4 4 4 4 4 3 3 4 4 4 3 2 2 2 2 3 3 3 4 5 6 6 6 6 6 6 5 5 5 5 5 6 7 7 9 11 12 14 16 19 21 22 21 20 18 15 15 18 19 19 19 21 21 19 15 8 5 5 5 4 4 4 4 4 4 4 4 4 4 3 1 1 1 -1 -0 4 8 10 10 9 6 3 -0 -4 -7 -5 1 5 4 3 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 -1 -2 -4 -5 -6 -7 -7 -6 -3 -1 -2 -2 -0 2 4 5 7 10 10 9 8 10 10 6 4 4 2 3 5 6 6 6 5 4 3 4 5 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 5 7 8 6 6 9 10 11 9 7 6 4 2 3 5 5 6 6 7 7 6 6 6 5 6 6 6 5 6 5 5 8 13 15 17 13 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 6 6 6 6 5 5 4 3 2 2 1 2 2 2 2 2 3 2 2 2 2 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 4 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 4 4 5 4 4 4 4 4 5 6 6 6 5 5 5 6 8 11 11 9 7 5 4 4 4 4 4 5 6 7 8 7 7 7 6 5 5 4 1 -0 3 6 7 8 8 8 12 12 3 -7 -9 0 2 6 10 10 5 8 8 10 3 1 4 7 9 9 3 2 6 7 5 3 3 3 2 3 3 3 3 3 4 6 7 7 6 -1 -3 1 5 7 6 3 1 2 9 11 7 9 9 11 13 14 15 17 18 16 11 6 4 6 8 9 8 6 5 4 4 3 3 4 4 4 4 4 5 5 4 4 5 5 5 4 3 4 4 4 4 4 4 4 3 4 4 4 4 3 3 2 2 2 2 2 3 4 4 5 5 5 5 6 6 5 5 4 5 5 5 6 6 6 6 7 7 7 8 10 12 13 15 15 14 12 10 9 10 10 10 10 12 12 11 7 6 5 5 5 5 4 4 4 4 4 3 3 1 -1 -2 -2 -3 -5 -7 -5 2 7 9 11 11 9 7 5 5 5 8 11 12 6 1 0 0 0 1 1 1 1 1 1 1 1 0 -1 -1 -1 -3 -6 -6 -2 1 -0 -1 2 3 4 5 4 4 6 6 4 6 10 12 12 11 13 15 12 9 6 3 2 3 5 6 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 6 6 4 4 4 3 3 4 5 6 6 8 10 11 9 8 8 8 2 -0 4 5 5 6 7 8 7 7 7 7 6 6 5 5 5 5 4 7 11 17 20 10 4 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 6 7 7 7 7 7 7 6 5 4 3 3 3 3 2 2 2 2 2 2 1 1 2 2 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 2 1 1 1 1 2 2 3 3 4 4 3 4 4 4 4 3 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 4 5 5 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 7 6 5 5 6 8 10 11 9 7 6 4 4 4 4 5 6 6 7 7 7 8 7 7 6 5 3 -0 1 5 7 8 8 8 9 12 10 6 1 -1 4 7 9 5 5 1 5 9 9 5 2 1 5 7 8 4 3 4 5 6 4 3 2 2 3 3 4 4 5 6 8 7 4 5 3 4 5 6 6 3 0 1 2 5 8 6 7 9 11 12 13 13 14 14 11 5 1 4 7 9 9 8 6 5 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 3 3 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 5 4 4 5 5 6 5 6 6 5 4 4 4 5 5 6 8 8 7 7 6 6 5 5 5 4 4 3 2 2 -0 -3 -5 -4 -1 -3 -6 -7 -7 -6 -0 4 6 8 9 8 8 10 12 11 11 10 4 1 -0 0 -0 -0 -0 -1 0 -1 -1 -0 1 1 0 0 -0 -1 -3 -5 -1 5 4 2 4 5 5 5 5 4 5 6 6 6 8 11 13 6 3 9 11 7 5 3 2 3 4 6 6 5 5 4 4 4 4 5 5 6 6 5 5 4 4 4 3 4 5 5 5 5 4 3 3 4 4 4 5 6 8 9 9 7 8 10 8 3 3 5 5 6 6 8 9 9 9 9 7 6 4 4 5 5 4 4 9 18 16 8 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 5 6 7 6 6 6 7 8 8 8 8 7 7 6 5 5 4 3 2 2 2 2 1 1 1 2 2 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 3 2 2 1 1 1 1 1 2 2 3 3 3 3 3 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 6 7 7 6 6 6 6 8 10 11 9 7 6 5 5 5 5 5 6 6 7 7 7 7 7 7 6 5 5 5 5 6 8 8 9 8 8 10 9 8 5 3 6 11 14 7 4 2 4 11 11 10 6 1 3 6 6 6 4 5 7 7 6 4 3 3 4 4 5 6 7 8 8 6 6 5 7 10 9 7 5 0 -2 -0 3 7 7 5 6 8 9 10 10 11 12 11 6 -1 0 6 9 10 9 8 6 5 4 3 3 3 3 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 6 7 8 8 8 7 7 6 5 4 4 3 3 3 2 2 1 -1 -3 -3 -0 2 1 -2 0 2 -2 -4 -1 2 3 4 4 5 6 7 9 8 4 1 1 -0 -1 -1 -1 -1 -1 -0 1 -0 -1 3 7 6 4 6 8 8 6 4 6 7 6 6 5 4 4 5 4 4 5 6 7 9 11 11 7 4 4 5 4 3 2 2 3 4 5 5 5 5 4 4 4 4 4 5 6 6 6 5 5 4 4 3 3 4 5 6 6 5 4 3 3 4 4 4 5 6 7 8 7 7 8 9 7 6 6 6 6 6 7 8 9 12 12 9 6 4 5 5 5 4 3 9 14 10 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 6 7 7 7 6 5 5 6 7 7 8 8 8 8 8 8 8 8 7 5 4 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 5 4 3 3 2 1 1 1 1 2 2 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 5 6 6 5 6 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 4 3 3 4 5 5 6 7 7 6 6 7 8 11 11 9 7 6 5 6 5 6 6 5 6 6 7 7 7 7 7 6 5 5 6 6 7 8 9 9 8 6 6 9 10 8 5 6 15 18 10 4 8 5 8 12 11 7 2 3 5 5 5 3 6 10 10 7 4 3 3 5 6 8 8 9 9 7 8 10 7 5 6 7 7 6 3 0 0 3 6 6 5 5 7 9 10 9 10 11 9 -0 -6 2 10 11 10 9 8 6 4 4 3 3 4 4 4 4 5 5 5 4 5 5 5 5 5 4 4 3 4 5 5 4 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 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 6 5 5 5 6 6 7 8 8 8 7 6 5 5 4 3 3 2 3 3 3 3 2 1 0 -0 0 0 -3 -5 -1 3 1 -3 -4 -3 -2 0 2 3 2 2 3 2 1 0 -0 -1 -1 -1 0 -2 -2 1 6 3 -1 4 13 14 11 11 14 15 13 10 8 9 8 7 6 5 5 7 7 7 8 8 9 9 10 12 14 11 6 5 4 3 2 3 3 4 4 5 5 5 5 5 5 4 4 4 5 6 6 6 6 5 4 3 3 3 4 5 6 6 5 3 2 2 3 4 4 5 6 6 6 7 7 7 7 7 7 6 6 6 6 7 9 11 11 9 7 6 6 6 6 5 4 8 9 6 6 7 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 7 8 7 5 4 4 5 5 5 5 6 7 7 7 8 8 9 9 8 7 6 6 5 5 4 3 3 3 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 3 2 1 1 2 3 3 3 2 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 7 8 7 7 6 6 8 11 11 9 6 6 6 6 6 6 6 5 5 6 7 8 8 7 7 6 6 5 6 6 7 8 9 9 9 6 4 6 10 10 6 5 17 22 11 1 7 7 4 10 10 8 4 4 4 3 4 3 6 13 11 6 3 3 4 6 8 10 11 11 10 7 8 9 6 5 4 6 7 7 6 4 4 4 6 6 5 6 9 10 10 10 10 9 5 -6 -6 6 12 12 11 9 7 5 4 3 3 4 4 4 5 4 4 4 4 5 5 5 6 5 5 5 4 3 4 5 5 5 4 4 4 4 3 2 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 7 6 5 5 4 3 3 3 3 3 4 3 2 1 -1 -2 -3 -2 -3 -4 -2 -1 -2 -3 -4 -3 -2 0 3 5 4 2 2 1 0 -0 -1 -2 -3 -0 1 1 0 2 5 6 6 8 11 12 12 11 11 12 12 8 5 7 7 5 5 7 10 11 10 11 13 12 9 5 5 8 9 8 8 7 6 5 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 5 5 6 7 7 6 4 3 3 4 4 5 6 6 7 4 -1 1 4 4 5 4 5 6 6 7 7 7 7 7 7 6 6 6 7 8 10 10 8 7 7 6 6 6 4 3 5 6 5 6 7 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 7 7 6 5 4 4 4 4 4 4 5 5 5 6 6 7 8 8 9 8 8 7 7 8 7 6 5 4 3 3 3 3 3 3 3 4 4 5 4 5 5 5 5 5 6 5 5 4 4 4 4 5 5 6 7 7 5 4 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 3 4 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 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 8 9 10 8 5 5 5 5 6 6 6 6 5 5 7 8 8 8 8 7 6 5 6 6 6 8 8 8 8 8 6 6 8 9 4 3 17 25 11 2 7 6 3 4 8 8 6 4 6 3 3 3 5 11 9 4 3 5 6 7 9 11 11 10 8 7 7 6 5 5 5 6 6 7 7 6 5 7 7 6 6 9 12 11 10 10 9 9 5 -8 -6 8 14 13 11 9 7 5 4 3 3 4 4 5 5 5 4 4 4 5 5 6 6 5 5 4 4 3 4 5 5 5 5 4 4 4 2 2 2 3 3 3 2 3 4 3 3 3 3 3 3 3 3 2 2 2 3 3 4 3 3 3 3 4 4 4 3 4 5 5 5 5 6 6 6 7 6 6 6 6 6 6 7 7 7 6 6 6 5 4 4 4 4 4 2 1 -1 -1 -1 -1 1 4 8 13 14 9 1 -1 -0 -1 1 3 7 9 9 7 6 5 4 3 1 -4 -7 -3 2 5 5 6 6 7 8 8 8 7 7 7 7 8 9 9 6 6 8 8 7 8 11 15 16 14 11 8 8 6 4 4 5 6 7 7 7 6 5 5 5 4 4 4 5 6 7 7 6 6 6 5 5 5 4 5 7 9 9 6 3 2 3 4 4 5 6 9 9 3 1 4 4 4 4 4 5 5 6 7 7 7 7 7 7 6 6 6 7 9 9 8 6 5 5 5 5 4 3 4 6 7 7 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 nan nan nan nan
nan nan nan nan 4 5 5 6 4 4 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 5 7 7 7 5 3 2 3 3 4 3 3 3 3 3 2 2 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 5 5 5 7 8 7 7 7 7 7 7 7 8 7 5 5 5 5 6 7 7 6 5 5 6 7 9 9 9 7 5 5 6 6 6 7 8 8 8 10 10 9 8 9 5 0 11 18 8 6 13 10 2 -1 5 6 7 6 8 5 3 2 3 5 6 4 4 6 7 9 10 10 9 7 5 6 7 5 4 4 4 4 5 8 10 8 6 8 9 8 9 12 12 10 8 8 10 10 5 -9 -8 7 13 13 11 9 7 5 4 4 4 4 4 5 5 5 4 4 4 5 5 6 6 6 5 4 3 3 5 6 5 5 4 5 4 3 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 2 3 3 2 2 3 3 3 3 3 3 4 4 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 4 3 2 1 1 1 3 5 7 10 14 20 23 24 21 10 3 2 1 2 5 9 12 13 13 10 8 8 7 -1 -8 -1 7 10 8 7 8 9 7 6 8 7 5 4 5 5 6 8 8 7 10 12 10 8 8 12 14 10 6 4 6 7 4 4 5 5 6 6 7 7 7 7 6 5 5 4 4 6 7 7 7 7 6 6 5 4 4 4 6 9 9 8 5 3 2 3 4 4 5 6 9 8 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 6 6 5 6 7 9 8 7 6 5 4 4 4 4 5 7 8 9 8 7 6 5 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 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 6 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 3 2 2 3 5 7 7 6 4 3 3 4 4 4 3 3 3 2 2 2 2 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 4 5 5 5 6 6 6 6 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 5 5 6 7 7 7 9 9 8 6 5 5 6 6 6 6 5 5 5 7 7 6 6 6 7 8 8 10 10 8 6 5 5 5 6 7 9 11 10 10 13 11 7 10 9 1 3 6 3 6 18 16 4 1 4 6 6 7 9 8 3 2 2 1 2 3 5 6 8 10 9 8 8 6 4 5 6 5 3 1 3 4 5 9 13 12 8 9 9 9 12 13 10 7 6 7 10 9 -0 -11 -7 7 12 12 11 9 8 6 4 4 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 4 3 4 5 6 5 5 5 4 4 3 3 3 2 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 3 3 3 3 4 4 4 4 5 5 6 6 5 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 6 5 4 3 2 3 4 5 7 8 8 9 10 12 15 21 31 29 18 13 9 5 3 5 9 13 19 18 14 16 16 8 3 6 12 12 8 7 8 9 9 9 9 9 7 4 5 5 4 4 4 6 10 12 8 4 4 6 7 6 5 5 5 5 4 4 4 4 4 5 6 7 7 7 6 6 5 4 5 6 7 8 8 8 7 6 6 5 4 4 5 6 8 8 8 6 1 2 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 5 5 6 7 7 7 7 6 6 6 6 7 8 9 8 7 6 6 5 4 5 7 9 8 7 6 3 3 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 3 4 3 3 3 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 4 5 5 5 6 6 5 4 2 1 2 4 6 8 6 4 3 3 3 4 4 3 4 3 2 2 2 1 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 3 4 3 3 4 5 5 5 5 5 4 4 5 6 6 7 8 12 17 16 11 6 2 2 5 6 6 6 6 5 6 6 7 7 7 6 6 8 9 10 10 8 6 5 5 5 6 8 12 14 12 10 13 9 3 7 10 5 1 -1 1 5 15 14 5 5 7 7 5 5 7 9 5 2 2 0 -0 3 5 7 8 9 8 6 5 3 3 4 5 4 3 4 7 6 5 8 12 10 6 7 9 11 13 11 7 5 5 7 9 8 -1 -9 -4 6 10 11 11 10 9 6 4 4 5 5 6 6 5 5 4 4 5 5 5 6 6 6 5 4 4 5 5 5 5 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 3 3 3 3 4 4 4 5 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 4 4 4 5 6 7 7 7 6 6 6 7 10 18 28 29 27 26 20 12 8 7 11 17 20 18 18 19 14 9 11 12 10 9 7 6 8 8 9 9 10 9 7 6 5 4 4 4 7 8 8 5 3 2 3 4 6 7 6 5 5 5 4 3 3 3 4 5 6 7 7 7 6 5 5 5 6 7 8 8 8 7 7 6 5 4 4 5 5 6 7 9 11 7 4 6 6 6 7 6 5 6 5 5 5 5 5 5 4 4 5 5 6 6 7 7 7 7 7 5 5 5 6 9 11 10 10 9 7 5 5 7 8 9 7 5 2 0 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 nan
nan nan nan 3 3 4 4 3 3 3 2 2 2 2 2 2 3 3 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 5 3 2 2 3 6 7 6 4 2 2 3 3 3 4 4 4 3 3 3 3 3 3 2 2 1 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 5 6 7 6 14 31 42 31 14 1 -4 -0 4 6 6 6 6 6 6 6 7 7 7 7 7 8 9 10 11 9 6 6 6 5 7 11 16 15 11 11 11 7 -0 2 6 6 5 4 3 4 9 8 5 5 8 10 7 4 5 8 6 2 2 1 0 3 6 6 7 9 8 5 3 1 1 2 2 1 3 9 12 8 4 3 4 2 2 4 6 9 11 8 5 5 5 5 7 7 1 -5 -5 -0 7 10 10 10 9 7 5 5 5 5 5 6 5 5 4 4 4 5 5 5 5 6 5 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 4 4 4 4 4 4 3 4 3 4 4 5 5 5 5 6 6 6 5 6 6 5 6 6 7 7 7 7 7 8 7 7 8 7 6 5 5 5 5 6 6 6 6 6 6 5 5 6 7 11 17 23 28 29 26 19 15 14 15 18 17 13 13 11 7 8 10 9 8 8 7 7 8 7 8 8 10 12 10 8 8 8 7 6 6 6 5 3 2 2 3 5 8 8 7 6 5 5 4 3 3 3 4 6 6 7 7 6 5 4 5 6 6 7 8 8 7 7 6 5 5 4 5 5 4 5 7 9 10 7 6 6 7 7 7 7 6 5 5 6 6 5 5 4 4 4 4 5 6 6 7 7 8 8 6 5 5 5 6 8 9 10 11 10 8 7 7 8 8 7 4 2 1 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 nan
nan nan nan 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 3 2 1 1 2 2 3 3 3 2 3 3 2 2 2 3 3 4 4 4 4 3 3 4 5 5 6 5 5 4 3 4 6 6 5 3 2 2 2 3 3 4 4 4 4 4 5 5 4 3 3 2 1 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 5 5 6 5 5 5 5 5 6 7 9 22 49 59 38 11 -7 -9 -1 4 5 5 5 6 6 6 7 7 7 7 8 8 8 9 10 11 9 7 6 5 6 9 14 17 13 8 8 10 11 2 -1 3 8 9 7 3 4 7 5 5 6 7 9 9 5 4 5 6 4 2 1 1 4 5 6 7 8 6 5 1 -0 -0 1 2 1 2 6 10 6 -1 -2 -4 -7 -0 2 -1 5 8 7 5 4 2 1 3 4 1 -0 -7 -4 6 10 10 10 10 8 6 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 3 3 4 3 4 4 4 3 4 3 3 3 3 3 3 4 4 4 3 3 4 3 3 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 5 5 5 6 6 6 6 6 6 5 5 5 6 9 15 21 24 23 20 19 18 20 23 18 11 9 8 7 8 10 12 12 10 10 11 9 11 9 9 13 13 11 8 6 5 4 5 6 6 4 2 1 2 4 7 10 9 6 4 5 5 5 4 4 4 5 5 6 6 5 5 4 4 5 6 7 7 8 8 7 6 5 4 4 5 5 4 4 5 6 7 7 6 6 6 6 6 7 6 6 6 6 6 6 5 5 4 4 4 4 5 6 6 7 8 8 7 7 6 5 4 4 6 7 8 10 10 10 10 10 8 6 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 9 8 7 7 7 7 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 5 7 6 4 2 1 1 2 2 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 5 6 6 5 5 5 6 5 4 3 2 2 2 2 3 4 4 4 4 5 5 6 6 5 4 3 2 1 1 1 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 5 5 6 6 6 5 5 5 6 6 7 11 24 44 49 26 -5 -19 -12 1 4 5 5 5 5 5 5 6 7 7 7 8 8 9 9 10 11 10 8 7 6 9 12 14 13 12 8 6 8 12 8 1 4 10 9 5 2 3 8 5 3 5 5 7 9 6 4 4 6 5 2 1 3 5 5 5 6 6 6 4 2 0 1 2 4 4 2 3 7 4 -4 -4 -6 -11 -3 1 -1 7 10 7 4 -0 -3 -3 0 4 5 5 -4 -4 6 9 9 9 10 8 6 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 5 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 7 7 7 7 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 8 12 15 15 15 15 16 22 26 21 15 13 11 10 12 13 15 15 15 16 17 15 13 9 9 9 8 6 4 4 3 4 5 5 4 3 2 1 3 7 10 9 5 4 3 5 7 6 5 5 5 5 5 5 4 4 4 4 4 4 5 7 8 8 7 6 5 5 5 4 4 4 5 5 6 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 7 8 8 8 7 6 4 3 3 4 5 6 8 10 11 11 10 7 5 5 6 6 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 15 12 9 9 10 10 7 5 3 3 2 2 2 2 2 2 2 3 2 2 2 2 2 4 6 9 9 6 4 2 2 2 3 3 3 3 2 2 2 2 1 1 1 2 2 2 3 3 3 3 3 3 3 5 6 6 5 5 5 4 4 3 2 2 3 3 3 3 3 4 4 5 5 6 6 7 6 5 4 2 2 1 1 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 6 6 6 6 5 5 5 5 6 8 12 17 27 24 9 -13 -24 -13 1 4 4 4 4 4 4 5 5 7 7 7 8 8 8 9 11 11 10 9 7 7 11 13 12 11 11 9 5 4 10 9 3 5 12 11 7 4 5 7 4 4 4 6 7 7 6 4 4 5 4 2 2 3 5 5 5 5 5 6 5 4 3 3 5 7 6 3 4 7 4 -3 -0 -1 -5 1 5 7 13 13 8 3 -4 -5 -3 4 11 9 2 -2 -1 5 9 9 9 9 9 7 6 6 6 6 6 5 5 5 5 4 4 4 5 5 6 5 5 5 5 5 4 5 5 5 5 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 7 7 6 6 6 6 7 7 7 8 7 7 7 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 6 7 8 8 8 12 18 22 19 17 14 12 10 9 10 11 11 12 13 11 11 8 6 6 6 6 5 3 2 3 4 4 4 4 2 1 2 5 7 7 5 4 4 4 5 6 6 5 5 5 4 4 4 4 3 3 3 3 4 5 6 6 6 6 5 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 5 4 4 4 5 5 6 6 7 8 8 8 7 5 4 3 3 3 5 7 8 9 9 8 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 nan nan
nan nan 13 9 8 8 9 10 9 7 7 7 5 5 5 5 6 7 6 5 4 4 4 4 5 5 7 9 9 8 7 6 5 4 4 4 3 3 3 2 2 1 0 0 0 1 1 1 2 2 2 2 2 2 2 4 5 5 5 5 4 4 4 3 2 2 3 3 3 4 4 4 4 4 5 6 6 7 8 8 7 4 2 1 2 2 3 3 2 2 3 2 3 3 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 5 5 6 5 7 10 14 14 10 0 -2 -6 -15 -9 2 4 4 4 4 4 4 4 5 6 7 7 7 8 8 9 11 12 11 9 8 9 11 11 10 10 11 11 5 4 10 10 3 3 8 11 11 8 7 5 4 6 7 6 6 7 7 5 3 2 2 3 3 4 5 5 5 5 4 5 5 5 5 5 5 7 7 1 5 7 2 0 4 6 9 14 18 18 17 15 9 3 -3 -4 2 11 16 10 1 -1 0 4 8 9 8 9 9 7 6 6 6 6 5 5 5 5 5 4 4 5 5 5 6 6 6 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 5 5 4 4 4 5 6 6 5 5 4 4 4 4 4 3 3 4 5 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 7 9 11 11 11 8 5 4 5 4 4 5 5 5 6 6 5 6 6 6 5 3 2 2 3 4 4 3 2 2 1 3 5 5 5 5 5 5 4 4 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 6 5 4 5 4 5 5 4 5 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 6 7 9 9 9 8 7 5 3 3 4 5 6 6 7 7 7 8 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 6 3 3 4 6 8 11 13 14 13 11 9 9 11 12 13 11 8 7 6 6 6 7 7 7 8 9 9 9 9 8 6 6 5 5 5 4 3 1 1 0 -1 -1 0 1 1 2 2 2 3 3 3 2 2 3 4 3 3 4 4 4 3 3 3 3 3 3 4 5 5 5 4 4 4 5 6 8 9 9 5 2 2 2 2 2 2 3 3 2 2 2 3 3 3 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 3 3 3 3 4 5 6 6 6 6 6 6 6 5 6 11 17 16 12 1 -15 -14 -4 -4 -2 3 3 4 4 4 4 4 5 5 5 6 7 7 8 9 9 11 12 12 11 12 11 10 10 10 8 9 10 3 4 12 12 5 4 3 7 13 11 6 4 5 6 5 5 5 8 11 9 4 1 1 3 4 5 6 5 5 6 4 3 4 4 5 6 3 8 8 -1 5 6 1 4 4 7 16 21 21 19 18 18 11 3 -2 -1 8 17 17 8 3 1 1 4 7 8 7 8 8 7 6 6 6 6 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 5 4 5 4 4 5 5 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 4 3 4 4 5 6 6 7 6 6 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 4 4 4 4 5 5 6 6 6 6 6 5 4 2 2 3 4 5 4 3 2 1 1 2 3 4 5 5 5 5 4 4 4 4 3 2 2 3 3 3 3 3 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 9 9 9 9 7 6 6 5 5 5 6 6 5 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 nan nan
nan 3 2 1 1 2 3 5 10 15 17 14 10 9 10 11 13 14 12 10 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 7 6 7 7 6 3 1 0 -0 -1 0 1 2 3 4 5 6 7 6 4 2 2 2 3 2 3 3 3 4 4 4 3 3 3 4 5 5 5 4 4 4 4 5 6 8 8 6 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 5 5 5 4 4 3 3 3 3 3 3 2 2 3 3 4 4 4 5 5 4 4 4 4 4 4 3 3 4 5 6 6 6 6 6 6 6 6 10 19 23 15 8 -0 -15 -18 -5 1 3 3 3 3 4 3 4 5 5 5 5 5 6 7 8 8 9 11 12 13 13 13 12 10 10 9 6 9 11 4 0 7 11 7 5 3 3 12 15 5 0 4 5 4 4 4 9 14 12 7 3 2 2 4 6 6 5 5 5 5 4 3 3 3 5 5 10 9 1 4 4 3 5 3 7 13 13 11 13 19 24 15 3 -3 2 14 19 14 7 5 2 1 3 7 8 7 7 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 5 6 6 6 6 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 5 5 5 5 6 6 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 3 3 2 2 2 1 1 2 2 2 2 2 2 2 2 1 2 2 1 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 5 5 5 6 6 7 6 5 4 3 3 4 5 5 6 6 4 1 -0 -1 0 2 3 4 5 5 5 5 4 3 3 3 2 3 3 3 3 3 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 7 6 6 5 5 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 8 7 7 6 6 5 6 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 2 2 2 3 6 9 9 8 6 5 5 6 6 7 8 8 7 8 8 9 10 10 9 8 8 8 8 10 11 11 10 9 8 9 9 8 6 3 2 1 1 1 3 4 6 6 8 10 12 10 6 3 2 2 2 2 2 2 3 3 4 4 3 3 4 5 5 5 5 5 5 5 5 4 5 6 6 6 5 4 4 4 4 4 4 4 4 3 2 2 2 3 3 3 4 4 5 5 4 4 4 3 3 3 3 2 3 2 3 4 4 4 5 5 4 4 4 4 4 4 3 4 5 5 6 6 6 6 6 6 7 11 20 26 23 13 9 8 -8 -15 -4 3 3 2 2 2 3 3 3 5 5 5 6 5 5 6 8 9 9 11 12 12 11 9 8 9 11 11 6 3 4 6 3 5 7 5 4 3 1 9 15 8 -2 -0 4 7 6 4 8 11 9 6 4 3 3 4 5 6 6 6 5 5 4 3 4 3 2 6 10 8 6 4 2 5 4 6 12 11 6 6 14 27 27 15 3 -2 5 17 18 10 6 7 4 1 3 7 7 6 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 4 3 4 4 5 5 5 5 6 7 6 6 5 5 5 6 6 6 6 6 6 5 6 5 5 4 3 3 3 2 2 2 2 2 2 3 3 2 2 1 2 2 2 2 2 2 1 2 2 3 4 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 5 5 5 6 6 6 6 5 5 4 4 4 5 7 8 9 8 5 2 -1 -2 0 2 3 1 -0 3 5 4 3 2 3 4 5 4 3 2 3 4 5 6 5 5 4 4 4 3 3 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 5 4 4 4 5 5 6 6 5 5 5 6 6 6 6 6 6 6 6 7 9 10 10 10 10 9 8 7 6 6 6 5 5 5 5 6 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 2 2 2 2 3 3 3 3 4 4 3 3 2 2 2 1 1 3 4 5 6 7 8 8 8 7 6 5 5 6 7 8 10 11 11 10 9 10 11 10 8 6 5 5 5 6 7 7 8 10 13 15 13 8 5 5 5 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 5 5 5 5 6 6 5 5 5 5 4 4 5 5 4 3 2 2 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 3 2 3 3 4 4 5 5 4 4 4 4 3 3 4 4 4 5 6 7 8 8 8 10 13 22 28 23 18 14 9 6 -6 -11 -1 3 3 2 2 2 3 3 3 4 5 5 5 5 5 6 8 8 10 12 14 12 9 6 6 6 8 11 11 2 -4 0 6 8 7 5 4 4 -0 4 12 14 3 -3 2 9 10 6 6 5 3 3 4 4 4 5 5 4 5 5 4 5 5 6 5 3 2 7 7 4 9 5 2 5 4 11 18 14 7 10 23 32 25 11 2 1 10 19 15 7 7 8 3 0 3 7 6 6 7 7 7 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 7 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 4 4 3 4 4 4 4 4 4 5 6 6 6 5 5 5 6 6 7 7 7 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 4 4 5 6 6 6 6 5 5 5 5 5 4 4 4 6 7 9 11 10 7 3 1 1 3 4 0 -3 -0 4 3 3 2 3 5 6 6 4 3 3 5 5 5 5 5 5 5 4 3 3 2 3 5 6 6 6 5 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 7 8 9 10 11 10 10 8 7 6 6 5 5 5 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 5 4 4 4 3 2 2 2 1 1 0 1 2 2 4 5 6 5 4 4 2 2 3 3 4 5 7 9 9 9 9 10 11 12 11 10 10 11 11 10 9 8 8 9 11 14 14 12 11 10 9 6 4 4 4 4 3 2 2 3 3 3 3 3 3 3 4 5 5 5 4 5 5 5 6 6 6 6 5 5 4 4 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 5 4 4 4 4 4 3 3 4 5 7 8 10 11 13 14 15 20 28 25 14 13 18 1 -13 -7 -3 2 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 7 9 11 17 18 13 9 7 7 6 5 5 7 9 9 6 5 7 9 8 7 5 2 2 9 14 9 1 4 9 10 7 5 2 0 2 3 3 6 7 4 3 3 4 4 4 6 5 3 3 4 8 6 3 6 5 4 5 4 13 18 15 14 22 32 31 19 7 2 5 14 17 10 5 7 8 4 1 3 7 6 6 6 7 7 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 6 7 6 5 5 5 4 4 4 4 5 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 2 3 2 2 3 4 4 4 3 4 4 4 3 4 4 5 6 6 5 6 5 6 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 5 4 4 4 5 6 6 6 6 5 5 5 5 5 4 3 3 3 4 5 8 9 9 7 5 5 5 5 3 0 0 3 3 3 3 4 6 9 8 6 4 4 7 8 6 4 2 4 5 4 4 4 4 1 2 5 6 6 6 6 6 7 8 7 6 6 6 6 6 6 7 6 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 6 7 7 9 10 10 10 9 8 7 5 4 4 4 4 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 6 5 5 5 5 6 6 5 5 5 4 3 3 2 2 2 2 3 3 3 4 4 4 4 3 2 1 1 1 1 1 2 3 4 5 6 7 8 10 11 11 11 12 13 14 12 10 8 7 8 8 10 13 15 16 16 13 11 8 6 6 7 6 5 4 4 3 3 2 2 2 2 3 5 5 5 4 4 5 5 5 5 5 6 5 5 4 5 5 6 5 5 4 3 3 3 3 3 3 4 5 5 5 6 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 6 10 13 16 18 20 20 19 22 25 16 7 12 18 -1 -16 -3 2 3 3 3 3 4 3 3 3 3 4 5 5 6 6 5 5 7 10 15 20 19 14 11 8 9 9 6 6 7 8 10 11 8 7 8 9 9 8 4 2 5 8 9 7 5 6 6 6 6 3 1 3 2 1 7 8 5 3 4 4 4 4 4 5 4 5 7 8 6 5 6 6 6 3 1 8 14 16 21 30 31 23 12 5 4 9 15 12 6 5 7 7 5 3 4 6 6 6 6 7 7 7 6 6 6 6 5 6 5 5 4 4 4 4 5 5 5 6 7 6 6 5 5 4 3 4 4 5 5 5 4 5 5 5 5 4 4 3 4 3 3 2 3 4 3 3 2 2 3 3 4 4 4 4 4 4 4 3 4 4 5 5 6 6 6 6 6 6 6 7 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 5 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 6 5 4 3 4 5 5 6 6 5 5 5 5 5 5 4 3 3 2 2 1 3 6 6 5 5 6 9 9 5 2 2 3 3 3 3 5 9 12 10 7 4 4 8 11 10 6 -0 0 4 4 5 6 8 6 3 5 6 6 5 5 6 7 7 7 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 9 9 9 9 8 7 6 4 3 3 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 7 6 5 6 6 6 6 6 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 2 1 1 0 1 1 2 3 4 5 6 7 7 8 9 10 11 9 8 8 8 7 6 6 9 12 14 14 14 12 11 10 10 11 12 11 8 5 3 2 2 2 2 2 3 5 5 5 4 4 4 4 4 5 5 5 5 5 4 5 6 6 5 5 4 4 4 3 4 4 4 4 5 5 6 6 6 6 6 5 5 6 6 5 4 3 3 4 4 4 4 4 3 3 3 4 5 10 16 18 21 23 23 20 17 19 19 9 6 13 13 2 -4 0 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 9 13 17 17 16 15 12 7 7 10 7 9 13 9 4 7 9 8 8 8 10 11 9 5 2 2 5 7 6 4 4 7 8 5 4 5 3 2 5 6 5 4 4 5 6 6 6 5 5 7 9 8 6 5 6 6 6 3 -1 -1 5 12 22 27 23 15 8 4 6 10 12 8 4 6 8 7 4 3 4 6 6 6 7 7 6 7 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 6 7 7 6 6 5 4 4 4 4 5 5 5 4 5 5 5 5 4 3 4 4 4 3 2 3 3 3 2 2 2 3 4 5 5 4 4 4 4 3 4 4 4 5 5 6 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 4 3 3 4 5 5 6 6 5 6 5 6 6 5 4 5 5 5 5 3 -0 -0 1 1 0 2 5 9 9 4 2 3 4 3 4 7 11 14 13 7 3 4 6 9 11 10 6 2 4 4 4 5 8 9 6 5 5 5 6 6 6 7 7 6 5 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 5 6 6 6 6 7 7 6 6 7 8 9 9 9 9 8 7 6 5 4 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 6 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 2 1 1 1 1 1 1 2 3 3 3 3 4 4 4 5 5 5 6 6 6 5 4 5 6 8 9 10 11 10 10 11 14 18 17 12 6 3 3 3 3 2 2 4 5 5 4 3 3 3 4 4 5 5 5 5 4 5 5 5 5 6 5 5 4 4 4 4 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 5 3 3 4 4 4 4 4 3 3 3 3 6 13 20 20 21 21 17 14 14 17 14 6 6 12 8 2 2 2 3 3 3 4 4 4 4 4 4 5 5 6 6 6 7 9 13 15 15 13 10 7 8 9 5 4 8 9 8 11 11 7 5 6 8 8 7 9 12 12 8 1 -1 2 5 6 5 6 9 9 5 5 8 6 5 4 4 4 4 5 7 8 7 6 7 8 8 8 7 6 4 5 6 6 3 0 -5 0 9 18 21 16 9 5 4 5 7 8 5 4 6 9 8 6 3 4 6 6 6 6 6 6 6 7 6 7 6 6 6 5 5 4 4 4 5 5 5 5 6 7 7 7 6 6 5 4 4 5 6 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 5 5 5 4 4 4 3 3 4 4 4 5 5 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 3 3 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 7 7 6 4 3 3 3 5 5 5 5 6 6 6 6 6 5 5 5 7 10 12 13 7 -0 -3 -4 -5 -4 -2 2 8 7 4 4 4 3 3 6 11 15 14 8 4 3 5 6 8 11 12 8 5 5 5 4 6 6 6 5 5 5 5 5 5 6 6 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 5 6 6 6 7 7 7 6 6 6 6 7 8 8 9 9 9 9 8 7 5 5 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 3 2 1 2 2 3 3 2 2 2 2 1 1 2 2 2 2 2 3 3 4 4 4 4 4 3 4 4 5 6 6 6 8 12 17 18 13 7 4 4 5 4 3 4 5 6 5 4 3 3 3 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 4 3 3 3 4 4 4 4 4 3 3 4 7 14 17 16 13 12 10 10 12 13 8 1 5 7 4 2 2 3 3 4 4 4 4 4 4 4 4 5 6 7 7 8 11 15 22 24 18 10 4 2 2 5 5 4 3 4 4 4 7 9 8 6 7 6 6 7 9 10 7 2 -0 2 4 5 6 7 8 6 5 8 9 8 6 3 3 3 4 6 9 9 8 7 11 13 10 8 8 6 4 4 4 5 7 9 2 6 14 17 16 10 3 1 3 3 5 7 5 5 8 10 8 4 2 4 6 6 6 6 6 6 6 7 7 6 6 6 6 5 5 4 4 4 5 5 6 6 5 6 7 7 6 6 6 5 4 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 3 3 3 4 3 3 3 4 6 7 7 6 5 3 2 2 3 4 5 5 5 5 6 6 6 6 5 5 5 7 9 14 19 21 12 3 -3 -5 -3 -1 -1 1 4 6 5 5 4 3 4 9 14 15 11 6 4 4 4 5 8 9 8 6 6 6 5 5 5 5 4 5 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 9 8 6 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 3 3 3 3 4 4 4 4 3 4 5 5 6 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 3 2 2 3 4 4 4 3 2 2 2 2 2 2 2 3 3 3 3 3 2 3 4 4 4 4 3 3 3 2 2 2 4 7 12 14 11 8 6 6 6 6 6 6 7 6 5 4 4 3 3 4 5 5 6 5 5 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 4 3 3 4 4 5 5 5 4 3 4 6 12 16 14 10 7 7 8 10 12 5 -6 -7 1 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 7 8 7 10 14 18 22 23 18 10 6 5 5 5 6 5 2 2 3 2 5 10 9 9 6 4 6 6 4 5 6 3 2 4 4 4 5 8 7 4 5 8 9 8 5 3 3 4 4 6 8 7 8 10 13 12 8 7 8 6 5 4 4 5 12 18 13 15 20 18 13 3 -4 -1 2 2 6 10 8 6 9 10 6 2 2 4 6 6 6 7 6 5 6 7 7 6 6 6 6 5 5 4 4 4 5 6 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 5 5 4 4 3 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 3 4 5 6 6 6 4 2 2 2 3 4 4 5 5 5 6 6 6 6 5 4 5 5 7 11 15 21 22 16 8 4 3 4 2 -0 2 5 6 5 4 2 3 7 12 14 12 9 6 5 4 5 5 6 6 5 6 5 6 7 7 6 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 6 7 7 6 6 6 6 6 6 7 8 9 10 11 11 9 7 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 3 3 3 3 3 3 4 3 2 3 3 5 5 5 5 4 3 4 5 5 5 6 6 6 5 5 5 4 4 3 3 4 5 5 5 4 4 3 3 3 3 3 4 5 6 6 6 6 5 4 4 4 5 5 4 4 3 3 2 2 2 3 6 8 8 7 6 6 7 7 7 7 7 6 5 5 5 5 4 4 4 6 6 6 6 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 7 8 7 5 4 3 3 4 5 5 6 6 5 4 6 11 16 17 13 9 7 6 8 11 14 0 -18 -16 -2 2 2 3 3 3 4 4 5 5 4 5 5 5 5 6 7 8 9 11 13 14 15 13 11 9 8 7 8 10 10 9 5 4 5 6 7 9 9 12 10 6 7 5 2 5 7 6 4 5 6 6 7 9 9 7 7 6 6 6 5 3 2 4 4 5 5 6 7 6 5 5 5 6 5 6 7 6 4 3 10 15 17 20 23 18 9 -3 -7 0 5 5 10 13 10 8 10 9 5 3 3 4 6 6 6 7 6 6 6 6 7 6 6 6 6 5 4 4 4 5 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 4 5 5 4 4 5 5 4 5 5 5 4 4 4 4 3 3 3 2 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 6 5 3 2 2 3 3 4 4 4 5 5 6 6 6 6 5 5 5 6 7 9 12 14 17 19 18 13 8 7 6 4 3 5 6 6 4 3 4 6 8 10 11 10 8 6 6 6 5 6 5 5 5 5 6 8 8 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 8 9 11 11 10 9 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 4 3 3 3 3 3 3 2 1 1 3 4 5 6 5 4 3 4 5 5 6 6 6 5 5 6 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 5 7 7 8 9 9 9 8 6 5 5 5 6 5 5 5 5 5 4 4 3 3 4 5 5 5 5 5 5 6 7 6 6 6 6 7 7 6 5 4 5 6 6 6 6 5 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 5 5 5 6 6 6 7 7 7 5 4 4 4 5 5 5 6 6 5 5 8 13 15 13 10 8 7 7 8 11 15 5 -17 -15 -2 1 2 3 3 3 4 4 4 5 5 5 5 5 6 6 8 8 8 8 9 10 10 11 9 8 8 7 8 10 14 15 9 3 3 7 10 11 13 12 9 8 8 5 3 7 11 10 7 8 11 11 10 10 11 10 7 5 4 3 3 4 3 4 6 5 3 4 5 3 2 3 7 6 3 4 6 6 4 -2 -2 5 16 24 25 17 6 -6 -7 4 9 12 15 14 11 9 10 9 7 4 3 3 5 6 6 7 6 5 5 6 7 6 6 5 5 5 5 4 4 5 5 6 6 7 6 6 5 5 5 4 4 5 6 5 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 5 4 4 3 3 4 5 6 6 6 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 4 3 2 2 3 4 4 4 4 4 4 5 5 6 5 5 5 6 6 7 9 10 11 12 14 16 16 11 7 8 5 4 5 6 5 4 4 5 6 7 8 8 8 7 6 6 7 6 6 6 5 4 5 6 7 8 7 7 7 7 7 6 5 5 5 6 6 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 7 7 7 7 7 6 6 6 6 7 8 9 10 11 10 9 7 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 4 4 4 4 4 4 2 1 1 3 5 7 7 5 3 2 3 4 4 5 5 4 4 4 5 6 5 5 6 6 7 6 5 4 4 5 5 5 6 7 9 9 8 8 9 10 10 8 7 4 4 5 5 5 5 5 5 6 6 6 5 3 3 3 3 3 2 2 2 3 4 5 6 8 9 9 7 6 5 4 5 6 6 7 7 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 6 5 4 4 6 9 10 8 8 8 8 7 8 11 16 11 -6 -7 -1 1 1 2 3 4 4 4 5 5 5 5 5 5 6 8 9 10 8 6 6 9 11 12 13 10 8 8 6 6 10 16 13 5 2 5 8 10 11 8 4 6 7 8 4 7 12 11 10 12 15 15 11 8 8 7 6 5 4 2 1 3 3 4 6 4 3 5 6 6 7 9 11 8 5 5 6 4 2 -2 -7 3 19 26 24 15 5 -7 -4 9 16 16 15 12 10 9 10 9 7 4 2 2 4 5 6 7 7 5 5 6 6 6 6 6 6 5 5 4 5 5 6 6 7 7 6 5 5 5 5 4 4 5 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 3 3 3 4 4 3 3 3 4 5 6 5 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 4 5 5 5 4 3 3 2 1 0 2 3 3 4 5 5 5 5 5 6 6 6 6 6 7 8 9 10 11 12 13 15 11 6 6 5 4 5 5 5 5 6 5 6 6 6 6 7 6 6 6 7 7 6 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 7 7 8 10 10 10 9 8 7 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 6 4 5 5 6 5 3 2 1 3 6 9 9 5 3 2 3 4 4 3 2 2 3 4 5 5 5 5 6 6 6 6 5 4 4 5 5 6 8 10 10 9 7 7 8 9 9 8 6 4 4 4 4 4 4 4 5 6 7 7 6 5 4 3 3 3 1 1 1 2 1 3 6 9 10 9 6 4 4 4 5 6 6 7 8 7 5 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 3 3 5 6 7 8 8 8 8 8 11 15 10 1 -1 1 1 1 2 3 4 4 5 5 5 5 5 5 7 8 11 13 14 12 8 7 10 13 14 14 10 9 10 8 4 5 10 11 7 3 3 4 5 6 4 3 3 6 8 5 6 10 10 9 13 16 14 9 7 6 5 6 8 5 3 2 1 2 3 4 4 6 9 12 13 12 11 10 10 11 11 8 4 2 -1 -5 5 18 25 21 13 4 -4 0 14 20 18 14 9 8 9 10 9 6 3 2 3 4 5 6 7 6 5 5 5 6 6 5 6 7 6 5 4 5 5 6 6 6 6 6 5 5 5 5 4 5 6 6 5 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 3 3 4 4 3 3 3 4 5 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 3 2 2 3 4 4 4 4 3 0 -4 -9 -9 -6 -4 -3 -0 3 5 6 6 6 6 6 6 6 6 6 6 7 8 9 11 12 14 12 8 5 5 4 4 3 4 5 6 6 6 5 5 6 7 7 6 6 7 6 6 5 5 6 6 6 5 5 5 5 5 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 9 9 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 13 6 6 7 8 7 6 4 3 2 4 8 12 10 6 3 2 4 5 5 3 2 1 2 3 4 3 3 3 3 4 5 4 4 4 5 5 6 8 10 11 9 7 6 6 6 7 7 6 5 4 4 4 4 4 4 4 4 5 6 7 6 6 6 5 4 4 3 2 2 2 1 2 4 7 8 6 3 3 3 4 5 6 7 7 7 7 6 5 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 2 3 6 8 8 8 8 9 8 11 10 4 1 1 1 1 2 2 3 3 4 5 5 5 4 6 9 12 14 16 18 19 16 11 8 10 12 13 10 7 6 7 11 9 7 7 7 6 5 6 6 1 0 4 5 2 3 6 5 5 9 6 4 6 10 9 7 7 5 4 6 8 7 4 3 1 3 5 7 8 9 9 10 10 9 7 8 13 16 16 10 5 4 -0 -1 7 17 23 19 12 4 0 4 15 20 17 11 8 7 9 10 9 6 5 4 4 5 5 5 6 6 5 5 5 6 6 6 6 7 7 5 5 5 5 6 7 6 6 6 6 5 5 5 5 5 5 6 5 4 4 4 4 3 3 3 4 5 5 6 5 5 6 6 5 3 3 3 3 5 4 4 4 4 5 4 4 3 3 3 4 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 4 5 4 5 5 4 4 4 3 3 3 3 2 1 1 2 2 2 1 -3 -10 -22 -26 -17 -9 -8 -6 -5 -2 2 5 6 6 6 6 7 7 6 6 6 6 6 7 8 9 12 13 8 5 5 4 3 3 3 4 6 7 5 3 4 7 9 7 6 7 8 7 6 5 6 6 7 6 5 5 5 5 5 5 5 6 7 7 7 6 6 5 5 5 5 5 5 5 6 6 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 8 8 7 8 7 6 6 6 6 7 7 8 8 9 9 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 7 9 10 9 9 8 6 5 4 5 9 12 11 7 5 4 6 8 8 7 5 4 3 3 4 3 2 2 2 2 3 3 4 4 5 6 7 9 11 9 6 5 5 5 4 4 5 5 5 3 3 3 3 3 3 3 4 4 5 6 5 5 6 6 6 5 4 4 4 5 4 2 3 4 4 2 2 2 3 5 5 6 7 7 7 7 6 5 4 4 4 5 5 5 5 4 3 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 5 5 5 6 5 4 3 3 2 3 7 9 9 8 9 10 11 11 4 -0 0 1 1 2 2 2 3 4 4 5 5 4 5 11 18 20 19 19 18 16 13 10 8 9 10 10 9 8 6 9 12 11 7 5 5 6 7 7 7 5 5 8 6 1 -1 2 4 4 8 5 0 -1 1 3 5 4 3 3 4 5 4 3 2 2 6 9 9 9 7 4 4 5 4 3 5 9 12 12 11 11 9 6 7 11 17 20 19 13 5 1 7 15 18 14 9 6 7 8 9 7 7 6 4 2 3 4 5 6 6 5 5 5 6 6 6 6 7 7 6 5 5 6 7 6 6 6 6 6 5 5 5 5 5 5 6 5 5 4 4 3 3 3 4 4 5 5 5 6 6 6 6 5 3 2 3 4 5 4 5 5 5 5 4 4 4 3 4 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 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 2 1 1 0 -0 -2 -6 -15 -27 -36 -27 -11 -3 -1 -0 -2 -2 1 5 6 5 5 6 6 6 6 6 6 5 5 6 6 6 8 8 6 6 6 5 4 3 3 5 6 6 5 3 4 9 11 8 6 7 7 7 6 6 6 7 6 5 5 5 5 6 6 5 5 6 6 7 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 6 6 6 7 7 8 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 9 10 11 10 9 10 10 9 7 6 7 11 13 12 10 9 10 12 15 16 15 12 8 5 4 4 5 4 3 3 3 3 3 4 5 5 6 7 7 8 6 4 3 4 3 3 3 3 3 4 3 2 2 2 3 3 3 4 4 5 5 5 4 4 5 5 6 6 6 6 7 6 5 3 2 1 0 1 3 4 4 4 6 7 7 7 7 6 6 6 5 4 4 5 6 5 4 3 2 2 2 3 3 3 3 4 4 5 5 5 5 5 5 4 5 5 5 5 5 3 3 3 3 5 8 10 10 10 10 10 18 14 2 -1 1 1 1 2 2 2 3 4 4 5 4 5 11 19 25 22 17 15 12 9 8 8 8 8 8 9 12 12 8 9 13 12 7 3 4 6 6 8 8 6 8 11 9 3 0 2 4 3 5 5 1 -2 -2 -1 5 4 4 2 1 2 1 1 1 3 6 8 5 3 3 2 3 2 2 3 3 4 6 10 16 20 17 14 13 12 16 19 19 14 6 3 9 15 15 11 8 6 7 8 7 7 7 6 3 2 0 0 4 6 6 6 5 5 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 5 4 4 3 3 3 4 5 5 6 5 5 5 6 5 4 3 2 2 4 5 5 4 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 -1 -5 -11 -19 -30 -31 -15 -1 3 5 5 3 1 2 5 6 5 6 6 6 6 5 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 4 5 5 5 4 3 5 10 12 9 7 6 6 6 6 6 6 7 6 6 6 5 6 7 6 5 5 5 6 6 6 5 5 5 5 5 5 6 7 7 7 8 8 7 7 7 7 7 7 6 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 8 11 10 7 6 8 11 11 9 8 9 11 12 12 11 11 14 18 20 21 20 15 9 5 5 7 9 9 7 6 5 5 5 5 5 6 6 5 5 5 4 4 3 3 2 3 3 2 2 2 2 2 2 3 3 3 2 3 4 5 5 5 4 3 4 5 5 6 7 9 9 9 8 5 3 1 0 1 3 4 3 3 5 7 8 7 6 7 8 9 8 6 5 5 6 6 4 3 3 2 2 2 3 3 3 4 4 5 5 5 5 5 6 5 5 4 5 5 4 2 2 3 4 6 9 11 11 11 12 14 20 12 2 0 1 1 1 2 2 3 3 4 4 4 4 10 19 22 19 14 11 10 7 6 8 9 9 9 9 10 13 12 6 4 10 12 9 3 3 5 5 6 7 3 3 9 10 7 4 4 4 3 3 6 1 -2 -2 1 5 6 4 1 0 0 0 0 1 1 3 4 2 2 2 2 2 1 3 6 7 6 6 12 24 29 23 21 17 14 15 17 17 13 7 5 10 14 13 9 7 6 7 7 6 7 8 7 5 3 -0 -2 2 6 6 6 6 6 5 5 6 7 7 7 6 6 6 6 6 6 5 6 6 6 5 5 4 4 5 4 5 5 5 5 4 3 3 4 4 5 6 6 5 5 5 5 5 5 4 3 3 3 4 5 5 4 4 4 4 3 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 3 2 2 3 3 3 2 1 -1 -5 -11 -16 -14 -5 3 5 5 5 4 1 -1 2 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 4 3 6 11 12 9 7 6 6 6 5 6 6 7 7 6 6 6 6 6 7 6 6 6 5 6 6 5 5 6 5 6 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 7 8 8 8 9 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 6 4 3 5 9 9 8 8 8 9 8 8 8 10 12 15 16 17 15 11 7 5 6 9 13 13 12 11 10 8 6 5 5 6 6 6 5 4 4 4 2 1 2 2 2 2 1 1 2 3 4 4 4 4 4 4 5 6 6 6 5 4 4 5 5 6 8 9 11 11 10 8 6 3 2 2 2 3 3 2 4 7 9 7 6 7 9 12 12 9 6 6 7 6 5 4 3 3 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 3 2 2 3 5 7 9 11 12 12 15 19 12 1 0 1 1 1 1 2 3 4 4 5 4 5 9 17 22 17 10 8 9 8 7 9 11 11 11 10 13 15 15 11 3 2 7 9 8 5 4 5 4 4 7 5 3 6 9 8 7 5 4 2 2 5 1 -1 1 6 6 6 2 0 0 1 1 0 1 2 3 4 3 3 3 3 4 7 13 14 9 7 7 14 23 26 23 21 18 15 15 16 16 12 8 6 10 13 12 9 7 7 6 5 5 7 8 7 5 4 2 -2 0 6 6 6 6 6 6 6 6 7 8 7 7 6 6 6 6 5 5 6 6 6 5 4 4 5 4 4 4 5 5 5 4 4 4 4 5 5 6 5 4 4 5 5 5 4 4 3 3 3 4 4 4 4 3 4 4 3 3 3 3 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 2 1 1 1 1 1 1 1 0 0 1 1 0 3 5 5 4 4 3 -1 -3 2 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 8 8 7 6 6 5 4 5 5 5 3 3 7 11 12 9 6 6 6 6 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 9 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 2 3 5 5 5 5 5 5 4 4 4 4 6 8 9 9 8 7 6 6 7 10 13 14 15 16 14 11 7 5 4 5 6 6 5 5 6 5 3 2 1 1 1 0 0 1 2 5 7 7 7 5 5 5 6 8 9 8 7 5 4 5 5 5 7 8 10 11 11 10 8 6 5 4 4 4 3 2 3 6 8 8 7 6 9 13 14 11 7 6 7 7 5 4 3 2 2 2 2 3 3 4 4 5 5 5 5 5 6 6 5 5 5 4 3 2 2 3 5 7 9 12 12 13 18 16 5 -5 -3 1 1 1 2 2 3 4 5 5 4 6 12 18 17 11 8 8 9 9 11 12 12 11 10 8 9 11 12 9 5 5 9 10 8 6 6 7 7 8 8 8 5 4 5 7 7 6 3 1 1 3 3 4 10 15 9 6 2 0 1 1 1 2 2 4 6 6 5 5 6 7 9 13 22 20 11 6 7 10 14 17 17 17 16 14 12 14 15 12 8 7 10 13 13 9 7 8 6 4 4 8 9 6 5 6 4 1 1 4 6 6 6 6 7 7 7 7 8 8 7 6 5 5 5 5 5 5 6 6 5 4 4 5 5 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 2 3 4 4 3 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 3 3 3 3 4 4 4 5 4 4 4 3 2 2 1 1 1 0 0 -0 -1 4 10 11 7 3 4 5 5 4 5 5 2 -0 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 5 2 3 5 4 3 5 8 10 11 8 6 6 6 6 5 6 6 6 6 6 7 7 7 8 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 7 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 4 4 4 3 2 2 3 3 3 3 3 4 3 3 3 3 4 5 5 5 5 5 6 7 8 9 10 12 15 14 12 9 7 6 6 6 6 6 7 7 6 4 2 1 0 -0 -1 -0 1 3 7 9 10 8 7 6 6 8 10 11 11 8 5 4 5 5 5 5 6 8 9 10 10 9 9 8 7 6 5 4 3 2 4 7 8 7 6 8 11 13 11 8 6 6 6 5 4 3 2 2 2 2 2 2 3 4 4 5 5 5 6 6 6 5 5 4 3 2 2 2 4 6 9 11 11 11 13 14 8 2 -1 -3 0 1 2 2 3 4 4 5 5 4 6 11 14 12 9 7 8 11 12 14 15 13 12 10 6 4 3 6 9 10 11 12 11 8 7 7 7 9 13 10 7 5 3 5 6 6 7 5 2 -0 1 4 11 17 15 7 2 -0 0 1 2 3 4 5 7 8 7 7 7 9 11 12 12 15 13 9 6 6 6 8 14 16 13 9 6 6 12 15 11 8 8 10 13 13 9 7 7 6 4 5 9 9 5 4 5 7 4 2 3 5 6 7 7 8 8 7 8 8 8 7 5 4 4 4 5 4 5 6 6 5 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 4 5 5 6 6 5 5 5 4 4 5 5 5 5 4 4 4 5 4 4 4 3 3 3 3 2 2 3 3 3 3 4 4 4 4 3 4 3 4 4 5 5 4 4 3 2 2 2 2 1 1 1 1 -1 -2 6 12 11 7 5 5 6 5 5 6 6 5 2 4 5 5 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 8 10 10 8 5 3 4 4 4 6 8 10 9 7 6 6 6 6 5 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 6 5 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 9 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 3 3 2 2 1 2 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 8 11 11 11 10 10 11 11 9 9 8 8 7 4 3 2 -0 -2 -1 1 1 4 7 10 9 8 6 6 6 9 11 12 11 8 5 4 5 5 5 5 6 7 7 8 8 9 10 11 10 9 8 5 4 3 3 5 6 7 7 7 10 13 12 8 6 5 5 4 3 3 2 2 2 2 2 2 3 4 4 5 5 5 6 6 6 6 5 5 2 1 2 4 8 12 14 13 10 8 11 7 -1 1 3 -0 0 1 2 3 4 5 5 5 5 5 6 8 10 9 8 7 8 10 12 14 15 14 14 12 8 3 3 8 10 9 8 9 9 9 7 6 6 7 12 12 7 6 4 5 5 6 7 8 5 1 2 6 12 14 8 2 -1 -1 2 3 5 5 7 9 9 9 9 8 7 8 9 11 10 2 2 6 7 6 4 6 13 16 9 1 -0 7 16 16 11 8 9 11 13 12 9 6 6 5 4 7 9 8 5 4 5 8 9 5 3 4 6 7 7 8 8 8 8 8 8 7 4 3 3 4 5 5 4 6 6 5 4 4 5 5 4 4 5 4 5 5 5 4 5 6 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 4 6 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 5 4 4 4 4 3 3 2 2 2 2 2 3 3 3 4 4 4 3 4 4 4 4 5 4 4 3 2 2 2 2 1 2 1 2 2 -1 -1 1 5 7 7 6 6 6 6 6 6 7 6 1 -0 4 5 5 6 6 7 7 8 7 7 7 6 6 6 5 6 7 7 8 10 12 11 7 4 4 4 5 7 9 9 6 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 5 4 5 5 4 5 5 6 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 7 8 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 2 2 1 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 4 3 3 4 7 9 10 10 11 16 20 18 13 10 8 6 4 2 1 -0 -1 1 2 3 4 5 7 8 7 6 5 6 8 10 12 11 8 6 5 5 4 4 5 7 8 7 6 6 8 10 12 12 11 9 7 5 4 3 4 5 7 7 8 10 12 12 8 6 5 4 3 3 2 2 2 2 2 2 2 3 3 4 4 5 6 6 6 6 6 5 4 2 2 6 11 16 20 19 13 8 6 9 2 -5 -1 3 1 0 1 2 3 4 5 6 5 4 5 5 5 6 7 8 9 9 8 7 9 10 12 14 14 11 5 5 9 9 8 6 6 7 8 7 6 6 6 9 13 12 9 6 5 5 5 7 9 7 4 4 8 9 6 2 -0 -2 0 4 5 8 7 8 10 9 8 9 8 6 3 3 5 7 2 -1 4 7 7 5 6 10 11 5 2 9 22 26 19 10 8 10 11 12 12 8 6 6 5 5 8 8 7 5 5 7 10 11 7 2 3 6 7 8 9 8 8 8 8 7 6 4 3 3 4 4 5 4 5 6 5 4 4 5 5 4 4 4 5 5 5 5 5 5 6 5 4 5 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 3 2 1 2 3 3 3 4 5 6 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 2 2 1 2 2 2 2 3 3 3 3 3 4 5 5 5 4 4 3 3 2 1 1 2 1 1 2 2 2 1 0 1 6 7 7 6 6 6 6 6 6 6 7 6 3 4 4 4 5 5 5 6 7 8 8 7 6 6 6 6 7 8 8 9 9 9 7 4 4 5 5 6 7 8 8 7 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 6 6 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 5 4 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 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 1 1 1 1 2 2 2 1 2 2 3 3 3 4 4 4 4 3 3 3 5 6 7 7 9 16 24 23 15 9 7 5 2 1 1 1 3 4 4 4 3 4 5 6 6 5 4 4 5 8 11 12 11 9 7 5 4 4 6 8 9 7 6 5 7 9 11 12 11 10 9 7 5 4 3 4 6 8 9 9 11 11 9 7 5 4 3 3 3 3 2 2 2 2 3 3 3 4 4 5 6 6 5 5 5 5 3 3 5 11 18 22 23 21 16 12 9 5 -3 -6 -2 1 1 1 1 2 3 4 5 5 5 4 4 4 4 5 9 11 11 11 9 6 5 7 9 11 14 13 7 6 6 7 8 7 8 8 7 7 6 6 6 7 12 15 11 8 6 5 4 6 8 6 5 6 8 5 2 -0 -1 -1 1 4 5 8 7 7 6 7 7 7 6 3 1 2 7 11 8 3 3 5 6 6 8 9 8 8 12 24 35 32 19 10 8 10 11 12 11 9 7 5 5 7 8 8 6 6 7 8 10 11 6 1 3 6 7 8 9 9 9 7 7 7 6 4 3 3 4 4 4 4 5 6 5 4 5 5 6 5 4 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 2 0 2 3 4 4 5 6 7 7 7 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 2 1 1 2 1 1 1 2 3 3 3 3 4 5 5 5 4 4 3 3 2 1 1 2 2 2 2 2 3 6 6 4 5 8 8 7 7 7 7 7 7 7 7 6 4 5 5 5 5 5 5 5 4 5 5 5 6 6 6 7 8 9 9 10 10 9 5 -1 2 6 6 5 6 8 9 8 6 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 7 8 8 8 8 8 7 7 7 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 6 5 4 3 3 3 3 2 2 2 1 1 0 0 1 2 2 3 3 4 4 3 3 3 2 2 4 4 5 4 6 11 19 20 14 8 5 3 2 2 4 6 7 8 6 5 3 2 3 4 5 5 5 4 4 5 8 11 13 12 9 6 4 4 6 8 8 7 7 6 6 7 8 9 10 11 11 9 6 4 4 4 6 7 9 10 10 11 10 7 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 4 3 2 3 5 4 5 8 12 16 18 20 23 24 21 13 -2 -8 -4 -0 1 0 1 2 2 4 5 5 5 5 4 4 4 6 11 15 14 12 13 11 8 5 5 7 8 12 12 9 6 6 7 8 8 7 8 8 7 6 6 7 8 11 14 13 11 8 6 5 6 7 4 4 5 5 2 -0 -2 -2 -0 2 4 5 5 8 8 5 5 5 5 3 2 3 5 8 11 8 5 2 1 1 4 9 10 10 14 18 26 31 27 16 10 9 10 12 12 11 8 7 7 6 7 8 7 6 6 6 10 12 10 3 1 4 6 7 8 9 9 9 7 7 7 6 4 4 4 4 4 4 4 5 6 6 5 5 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 3 2 1 3 4 4 5 5 6 7 7 7 6 5 5 5 4 4 4 4 4 5 4 5 5 5 4 4 4 4 3 3 2 1 1 1 1 0 1 1 2 2 2 3 4 5 5 5 5 4 3 3 2 2 2 2 2 3 3 4 11 20 18 9 6 8 7 8 8 8 8 9 9 7 6 3 0 4 7 7 8 8 8 7 4 2 0 -0 2 2 3 5 6 8 10 10 10 9 8 4 3 6 6 4 5 8 10 10 8 6 5 5 4 4 5 5 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 6 7 7 8 8 9 9 8 7 7 7 7 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 6 6 5 4 4 5 5 5 4 4 3 2 1 1 1 1 2 3 3 4 4 3 2 2 2 2 3 3 4 4 3 5 10 12 10 7 5 4 5 6 8 11 12 11 9 5 3 2 2 3 5 6 5 4 3 2 5 8 11 11 9 6 5 5 7 8 8 7 7 7 6 6 7 8 9 11 12 10 7 6 5 5 6 7 9 10 10 11 10 8 6 4 4 4 4 4 3 4 5 5 6 6 5 4 4 4 4 2 2 3 5 7 7 7 9 13 16 17 17 23 27 20 9 -7 -10 -3 1 1 1 2 3 3 5 5 5 5 4 4 7 10 13 17 18 14 11 11 11 9 6 5 6 7 11 11 9 7 5 6 6 8 6 5 6 6 5 4 5 6 8 11 15 13 11 9 8 8 7 4 2 1 1 -0 -1 -2 -2 0 2 3 5 4 9 10 7 5 4 4 4 4 5 7 7 3 0 4 1 -5 -5 2 7 10 11 14 16 20 24 21 14 10 9 11 12 12 10 8 7 8 7 7 7 7 6 5 6 11 13 8 2 2 5 6 7 8 9 9 8 8 7 7 6 5 4 4 4 5 5 5 5 6 5 4 5 6 7 7 6 4 3 3 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 2 2 2 2 3 4 4 5 5 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 3 2 2 2 2 1 0 0 1 1 2 2 3 4 5 5 5 5 4 3 3 2 2 3 3 3 4 4 5 15 26 20 9 7 8 7 7 8 8 7 8 8 7 7 4 0 2 6 7 8 9 10 10 10 7 4 2 -0 -1 -1 0 1 4 9 9 9 6 5 8 6 7 6 5 5 6 8 9 9 9 7 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 9 8 8 8 7 7 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 5 5 5 6 7 8 8 7 6 6 5 4 3 2 2 3 3 4 4 4 4 3 2 2 2 3 3 3 4 3 3 5 7 7 7 7 7 8 8 10 12 15 16 11 6 3 2 2 4 5 6 6 5 3 1 1 5 7 8 8 7 6 7 7 8 8 8 7 7 7 6 6 7 8 9 10 9 7 6 6 6 6 6 8 9 9 10 10 8 5 4 4 4 3 3 3 4 5 7 8 8 7 5 4 4 3 3 8 15 18 13 7 5 8 13 21 25 21 21 20 11 2 -7 -8 -2 1 1 2 4 4 5 5 5 4 3 3 8 17 22 20 17 14 12 10 10 11 10 8 6 6 7 8 5 3 5 7 6 6 6 3 1 0 2 2 1 1 3 4 7 11 14 15 16 15 11 8 5 1 -1 -1 -1 -1 -1 -0 2 3 4 4 4 7 7 6 5 3 4 4 5 6 7 6 3 2 6 3 -5 -5 1 5 7 13 15 14 19 23 19 13 11 10 11 12 11 9 7 7 8 8 7 7 6 6 4 5 10 11 6 2 3 6 6 7 8 9 9 9 8 7 7 6 6 5 4 5 5 5 5 6 5 4 4 4 6 8 8 6 4 3 2 3 4 5 7 6 6 5 5 6 5 5 5 5 5 5 6 6 6 5 5 5 4 3 2 1 1 2 4 4 5 6 6 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 3 2 2 2 2 1 1 1 1 1 1 2 3 4 5 5 5 4 4 3 3 2 3 3 3 3 3 4 7 10 15 12 8 6 7 8 8 8 7 6 6 6 6 7 7 5 6 6 6 6 8 9 9 11 13 15 13 10 7 5 5 4 5 8 9 8 6 5 5 6 7 6 5 5 5 6 7 7 8 9 9 9 8 7 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 7 6 6 5 5 5 6 5 5 6 5 6 6 5 5 5 6 6 7 8 8 9 9 8 8 7 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 4 4 5 6 6 7 8 9 9 9 9 9 8 8 6 5 4 5 5 4 5 5 5 5 3 2 2 3 3 3 3 3 4 3 4 5 5 6 7 7 7 7 9 11 15 19 15 7 2 2 3 4 5 6 7 6 4 2 2 3 4 5 6 6 7 8 8 8 8 7 6 5 5 6 6 6 7 8 7 7 6 5 5 6 5 6 6 7 8 9 9 7 5 4 3 3 3 3 3 4 5 8 11 12 9 6 4 2 3 10 22 33 30 15 4 4 7 12 22 25 16 9 8 5 1 -3 -3 0 2 3 5 5 6 6 6 5 4 3 5 12 19 21 19 14 11 12 12 11 12 12 9 7 6 5 2 -1 1 8 10 9 7 4 3 1 -0 1 1 -1 -0 -0 -0 2 6 12 18 22 20 13 10 7 2 -1 -2 -1 1 1 2 3 4 4 4 3 3 3 3 3 3 3 4 6 6 6 6 7 10 13 8 -0 1 3 3 8 15 16 16 21 22 18 13 11 11 11 12 11 8 6 7 7 8 7 7 7 5 4 6 10 8 3 2 4 7 7 7 8 8 9 9 8 7 7 6 6 6 5 5 5 5 5 5 5 4 3 4 6 8 8 6 4 2 2 3 4 5 7 8 7 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 3 1 -0 1 3 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 4 5 5 5 4 3 3 3 2 2 1 1 1 2 2 2 3 4 5 5 5 4 4 3 2 2 3 3 2 2 2 7 15 11 5 7 7 5 5 7 7 6 7 10 10 6 6 6 9 10 8 5 5 5 6 7 7 8 11 13 15 15 14 12 11 11 8 6 7 7 8 7 4 5 6 6 6 6 6 6 6 6 6 7 9 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 8 8 8 7 7 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 6 6 8 8 8 8 9 9 9 9 9 9 8 7 6 6 6 6 6 7 7 6 5 4 2 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 7 14 18 18 10 3 2 3 4 5 6 7 7 5 4 3 2 3 4 5 5 7 8 8 8 7 6 5 4 5 6 6 6 6 6 7 6 5 5 6 5 6 6 6 6 7 7 7 6 5 4 4 3 3 3 4 5 6 8 12 14 12 7 3 3 7 15 25 28 20 7 2 4 6 10 14 10 -7 -13 -4 1 1 -1 0 2 3 5 7 8 8 8 7 5 5 7 12 15 14 13 12 10 10 12 14 11 10 11 10 7 4 3 2 2 5 11 10 7 6 5 4 4 3 5 3 -1 -0 -1 -1 -1 2 7 15 20 18 12 10 9 5 0 -1 -0 1 1 2 4 4 5 4 3 2 3 3 3 5 8 10 9 6 8 11 13 14 14 10 4 6 5 3 10 18 18 20 22 21 16 13 11 11 11 12 10 7 6 7 7 8 7 7 7 6 5 7 8 5 2 3 6 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 5 5 5 4 3 3 4 6 7 7 6 3 2 2 3 4 6 7 8 8 7 6 5 5 6 5 5 5 5 6 6 5 5 5 5 4 2 -0 -0 2 4 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 5 4 3 4 4 3 2 2 2 2 2 2 3 4 4 4 5 4 4 3 3 3 2 2 2 2 2 3 10 21 16 5 7 7 6 6 6 5 4 5 11 12 8 6 8 9 10 7 5 6 6 6 6 6 6 6 7 8 8 8 8 7 6 5 6 5 5 5 5 5 5 5 5 6 6 6 7 6 5 4 4 6 8 9 9 9 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 13 11 9 10 10 10 13 15 17 14 13 13 12 9 8 8 9 10 11 12 12 12 10 12 13 14 18 24 29 30 22 3 -6 -8 -4 5 9 11 11 12 12 14 13 12 15 15 16 15 15 15 16 14 12 9 8 10 10 10 11 12 15 16 16 14 12 10 9 8 9 12 13 12 12 13 14 15 15 15 13 13 13 15 16 17 15 13 11 10 10 11 12 13 13 13 13 14 14 12 10 10 9 10 11 12 11 11 11 12 12 12 11 12 11 11 11 12 12 11 11 11 11 10 9 9 10 10 10 11 11 11 11 12 13 14 13 13 12 12 12 12 12 12 12 14 16 15 12 10 10 9 9 9 7 6 10 11 12 12 12 11 11 12 11 11 11 11 11 11 12 12 12 11 9 8 8 8 9 10 10 10 10 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 10 10 10 11 11 10 10 9 10 11 11 11 11 10 11 11 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 11 12 11 11 11 10 11 12 12 11 9 9 11 13 12 11 10 10 10 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 11 11 12 12 12 13 12 11 11 10 8 6 8 9 9 11 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 12 13 12 12 12 11 12 12 12 12 12 12 12 13 13 13 14 14 13 13 13 13 13 13 13 14 16 18 16 14 13 12 12 13 13 12 12 11 12 13 13 13 13 14 13 13 13 13 13 14 15 15 14 12 11 10 12 13 12 11 11 11 11 11 12 11 9 6 5 7 12 18 21 19 17 14 12 12 13 12 12 12 13 12 12 12 12 12 12 13 13 13 13 12 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 14 16 17 17 17 16 15 14 14 13 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 13 12 12 13 13 13 13 14 nan
nan nan nan nan nan nan nan 10 15 14 12 12 11 12 11 10 10 12 13 14 14 14 12 11 11 12 14 23 27 25 17 2 -10 -9 -2 4 7 9 11 12 12 15 16 14 14 15 16 16 15 15 16 15 13 12 9 7 6 7 8 11 11 13 15 15 14 13 12 12 11 12 13 12 13 14 15 17 17 17 17 17 16 16 15 16 16 15 13 11 10 10 12 12 13 13 13 14 14 15 13 12 12 11 11 11 11 11 11 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 11 10 11 11 12 14 15 14 14 13 12 13 13 12 12 14 15 14 12 8 6 6 6 8 10 9 8 9 10 11 11 12 13 12 12 12 12 12 12 12 12 12 12 11 10 8 8 8 9 10 10 11 10 10 10 10 11 11 12 11 11 10 10 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 11 10 10 9 9 10 11 12 11 11 10 11 12 11 11 11 11 11 10 11 11 11 11 11 11 12 11 10 11 11 11 11 10 10 11 12 12 11 10 8 10 12 12 11 10 10 9 10 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 12 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 10 9 7 4 6 12 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 11 12 12 12 13 13 13 13 13 13 14 13 13 13 14 13 13 13 12 12 11 12 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 15 17 15 14 14 16 15 14 13 12 11 11 11 12 13 14 14 14 14 13 13 13 13 13 13 13 15 14 13 13 15 16 15 13 12 12 12 11 12 12 12 12 13 16 19 22 21 19 18 17 14 12 12 12 12 11 12 12 12 12 12 13 12 12 13 13 13 12 12 12 13 12 13 12 12 12 13 13 14 14 14 13 13 13 16 17 17 15 14 14 14 14 13 12 12 12 12 13 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 13 14 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 11 12 12 14 15 16 15 15 13 11 10 16 27 23 13 4 -2 -2 3 7 8 9 11 11 10 10 14 17 15 14 14 15 15 16 16 16 15 13 12 11 8 8 7 9 12 14 15 15 16 15 15 14 13 12 12 11 11 13 15 16 17 16 15 15 17 17 17 17 17 16 15 13 11 11 11 11 12 13 14 15 15 15 16 15 13 13 12 12 11 11 11 10 9 9 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 10 11 11 12 14 15 16 15 14 14 13 13 13 12 13 15 17 16 12 9 7 7 9 11 12 12 11 9 8 9 11 11 13 13 12 12 13 13 13 13 12 11 10 9 9 8 9 9 9 10 10 11 11 10 10 10 11 12 12 11 11 10 11 12 12 12 12 11 10 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 11 12 12 11 11 10 10 12 12 11 11 11 11 11 11 11 10 10 11 11 10 10 10 9 9 11 13 14 13 11 11 11 10 9 9 10 10 10 10 10 10 10 9 9 10 11 11 10 10 10 11 12 11 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 8 8 8 7 9 12 13 13 12 12 11 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 13 14 15 15 13 13 17 17 14 12 10 9 9 11 13 14 14 14 13 13 13 13 13 13 13 12 12 14 16 16 16 17 17 15 13 13 12 12 12 12 12 13 14 16 18 20 19 16 15 14 14 13 12 12 13 12 12 13 12 12 12 13 13 13 13 12 12 12 12 12 13 13 12 13 13 13 13 13 13 14 14 13 13 14 15 16 16 16 15 15 14 14 14 13 13 14 14 13 12 11 11 12 12 12 13 13 14 14 14 14 13 13 13 12 12 13 14 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 13 12 10 10 17 22 17 7 3 4 8 10 9 9 10 11 10 9 9 11 14 15 14 14 13 13 15 15 15 14 14 13 14 12 11 11 11 14 14 13 13 13 14 15 15 16 15 15 14 14 14 15 15 14 13 12 11 12 13 14 16 17 18 17 14 11 11 11 11 12 13 14 15 16 16 16 15 14 13 12 12 11 10 10 9 9 9 9 9 10 10 11 10 10 11 11 11 12 12 11 11 11 11 11 12 11 11 11 11 12 14 16 16 15 15 14 13 12 13 13 13 13 14 14 12 10 9 10 12 12 12 13 12 9 8 9 10 11 12 12 11 11 12 13 13 12 11 10 10 9 9 9 10 10 10 10 11 11 10 11 11 11 11 12 11 11 11 11 11 12 13 14 13 11 9 7 8 9 11 12 12 11 11 11 10 11 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 11 12 12 12 11 10 10 9 10 12 12 12 11 10 9 10 12 12 10 10 10 11 11 11 8 7 8 10 12 13 12 12 11 10 10 9 10 10 10 10 10 10 10 9 9 9 10 9 10 10 10 11 11 12 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 11 12 11 11 11 11 11 11 10 9 8 6 6 10 12 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 9 10 10 11 11 10 11 11 11 10 10 11 12 11 11 11 12 11 11 11 11 11 11 10 11 11 10 10 11 11 12 13 13 13 13 13 13 12 12 11 12 12 12 13 13 14 14 13 14 15 14 12 10 10 10 12 12 13 13 13 13 13 13 12 12 13 13 13 12 12 14 16 17 17 15 14 13 13 12 13 13 12 12 13 13 13 13 14 14 14 14 13 13 14 13 13 13 13 12 12 12 13 13 12 12 13 13 12 12 11 11 12 13 13 13 13 14 14 13 13 13 14 14 14 14 14 15 16 16 16 14 15 14 14 14 15 14 15 14 13 12 11 12 12 12 13 13 13 14 14 13 13 13 13 12 12 12 11 13 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 6 6 12 10 9 10 10 11 13 12 11 11 12 15 16 14 14 13 13 12 12 12 13 13 15 15 13 12 13 13 12 12 11 10 12 13 14 15 18 19 18 17 15 13 12 11 10 11 11 13 13 13 15 17 17 17 14 13 12 11 12 13 13 13 14 14 15 16 15 14 14 12 11 11 10 10 9 9 9 9 10 11 11 11 11 10 10 11 12 12 12 11 11 11 12 11 11 12 12 12 12 13 14 15 16 15 15 14 13 12 12 13 13 12 11 10 10 9 11 13 13 12 11 11 11 11 10 11 11 11 12 12 11 10 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 11 12 11 11 11 11 11 12 12 13 14 13 12 9 8 7 8 10 11 12 11 11 11 11 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 11 10 9 9 9 11 12 12 12 10 9 9 11 11 10 10 10 11 12 12 11 9 8 9 10 10 11 11 12 11 10 10 10 10 10 10 10 10 10 9 9 10 10 9 10 10 10 10 11 11 10 11 11 11 11 11 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 10 8 7 8 9 10 12 13 13 12 12 11 11 11 10 10 10 10 9 10 9 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 10 10 10 11 11 12 12 12 12 13 12 12 12 11 11 12 12 13 14 14 14 13 13 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 12 13 14 16 17 16 14 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 12 13 13 12 12 13 14 13 13 13 14 13 12 13 14 13 12 12 13 13 14 15 16 16 15 14 14 14 14 15 15 15 15 14 12 12 11 12 13 13 14 14 14 13 12 12 13 13 12 12 13 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 13 12 13 13 14 15 16 16 15 15 14 13 11 12 12 13 14 14 13 12 13 13 12 11 10 10 11 12 13 13 15 15 15 13 11 10 10 9 9 11 12 14 15 16 16 17 17 16 15 14 12 12 12 13 13 13 13 14 15 15 15 14 14 13 11 11 11 11 10 10 10 10 11 12 12 11 11 11 10 11 11 11 11 12 11 11 11 11 11 12 12 12 12 13 14 15 15 14 14 14 13 12 12 13 13 12 12 11 10 11 11 12 11 11 11 11 11 11 11 12 11 10 12 12 11 10 10 10 10 11 11 10 10 10 10 9 10 11 10 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 13 14 14 12 10 7 6 10 11 11 11 11 10 11 11 10 10 10 10 11 10 10 11 10 11 11 10 10 10 10 10 9 10 10 10 11 11 12 12 12 11 10 10 10 10 11 11 12 11 10 9 9 10 10 10 10 10 10 11 12 12 11 9 8 8 9 9 10 10 10 10 11 10 10 11 11 11 12 11 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 10 12 13 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 11 11 11 12 12 12 12 12 12 11 11 11 13 15 14 13 12 12 13 13 12 13 13 13 13 13 13 12 13 12 11 12 13 13 13 13 13 13 14 15 16 17 16 14 13 13 13 13 13 13 13 12 13 13 12 13 13 13 13 13 12 13 13 13 12 12 12 13 13 13 13 13 14 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 12 12 13 13 14 15 15 14 13 15 15 14 13 13 14 14 15 13 12 12 12 13 13 13 14 14 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 16 15 14 13 12 13 14 16 16 14 13 12 12 13 13 13 12 11 11 12 12 12 12 12 11 10 9 8 8 9 10 11 12 14 16 18 18 17 18 17 15 14 12 12 12 12 12 13 13 14 15 15 15 15 14 13 12 12 11 11 11 12 12 13 13 14 13 12 12 11 11 11 11 12 11 11 12 11 11 11 12 13 13 12 12 13 13 14 14 14 13 12 13 13 12 12 12 12 12 12 12 12 13 12 11 11 10 11 11 11 12 13 12 11 11 11 11 11 10 9 10 11 11 11 11 11 10 10 10 11 11 11 11 10 11 11 11 12 12 11 11 11 12 12 11 12 12 11 11 12 13 15 17 15 9 5 7 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 10 10 10 11 10 10 11 11 11 11 11 10 10 9 8 8 9 9 9 11 10 10 10 10 11 12 13 12 12 11 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 11 10 10 10 10 10 10 10 10 9 9 10 12 13 13 13 12 12 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 10 10 10 11 10 10 10 9 9 10 10 11 12 12 12 12 12 12 12 11 11 11 13 15 14 11 10 11 12 13 12 13 13 13 12 12 12 12 12 13 12 12 13 13 13 14 13 13 14 16 17 18 17 14 12 12 13 13 13 13 13 13 12 12 12 12 12 13 12 13 13 13 12 12 12 12 12 12 13 13 13 13 14 13 13 13 13 12 13 13 14 14 13 13 13 14 13 13 13 13 13 13 14 13 13 13 13 13 14 14 12 12 11 12 13 13 12 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 11 9 7 7 9 12 13 15 18 20 22 26 29 30 31 32 33 34 37 39 38 35 33 32 31 31 28 24 18 9 5 6 9 12 15 17 19 20 21 22 22 22 20 16 11 6 2 2 3 5 7 7 8 9 10 12 12 13 14 14 14 13 11 9 7 6 6 6 6 6 6 7 6 6 7 6 6 6 6 6 6 7 8 7 6 6 6 7 6 6 6 6 6 7 9 10 9 6 5 5 5 5 5 4 4 4 4 4 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 2 3 6 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 33 30 36 40 43 48 50 46 41 40 46 60 70 66 59 57 62 64 62 60 57 53 50 49 51 54 49 42 38 33 26 17 14 14 14 14 11 8 6 7 8 4 1 0 1 4 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 1 6 20 45 53 47 46 49 51 54 50 42 40 44 69 91 106 115 123 103 77 74 65 52 39 32 33 32 29 30 36 44 51 53 50 44 39 36 40 49 48 41 50 80 98 90 83 85 98 120 129 109 84 84 92 95 102 117 120 116 113 113 110 104 96 90 94 114 142 160 174 171 155 145 133 116 nan nan nan nan nan nan nan nan nan nan nan nan 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 4 4 6 10 12 11 12 14 17 23 28 29 30 32 32 32 33 35 35 32 31 32 31 30 28 25 21 15 10 8 10 12 14 16 19 21 22 23 24 24 23 20 16 13 8 6 3 1 2 5 6 9 12 14 15 16 16 17 17 17 16 15 11 8 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 6 6 7 7 7 6 6 6 6 8 10 9 6 5 4 5 4 4 4 4 4 4 4 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 3 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 6 21 25 30 30 29 36 38 37 33 32 37 49 56 54 48 48 55 58 55 52 49 45 40 34 32 31 31 31 31 28 25 20 17 17 18 18 16 13 12 10 9 4 1 0 1 2 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 4 19 32 29 32 34 36 30 23 24 22 27 56 72 86 89 79 55 56 50 42 34 28 23 17 21 30 34 44 55 58 59 58 54 51 52 58 65 65 62 75 93 90 79 67 63 75 101 126 129 115 104 96 97 106 114 114 112 110 109 105 101 96 92 97 115 143 161 175 172 156 149 145 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 5 2 1 2 6 8 8 7 7 11 17 23 25 26 28 29 28 29 28 28 29 31 33 32 30 28 27 26 23 20 18 18 17 16 16 19 20 20 20 20 21 21 20 20 20 19 14 5 1 0 2 5 9 13 15 16 16 17 18 18 18 18 18 15 9 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 7 7 7 7 6 6 7 8 7 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 21 27 30 25 12 17 18 23 20 18 27 42 48 45 39 42 49 51 47 44 41 38 32 27 23 20 18 18 20 21 21 17 15 16 17 17 16 15 14 12 10 4 0 0 0 0 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 2 6 12 15 16 18 16 14 23 30 34 54 69 79 80 73 69 66 55 39 29 24 21 15 25 49 63 73 81 76 66 63 63 63 64 68 74 76 78 86 94 93 84 70 60 60 83 119 133 122 105 92 86 86 89 91 94 95 96 98 97 94 94 100 118 142 163 176 171 153 144 150 153 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 5 6 4 2 1 2 3 4 4 3 6 10 15 17 18 19 21 22 23 21 20 21 25 31 33 32 30 29 31 32 34 34 33 30 26 23 23 22 18 16 15 16 18 19 22 26 28 22 12 4 1 1 4 9 12 14 14 15 17 19 19 19 19 19 17 8 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 7 8 7 6 7 7 7 7 6 6 7 6 4 4 4 4 4 4 4 4 4 4 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 1 9 24 30 21 6 2 1 6 6 4 9 32 44 36 28 28 35 37 35 32 30 27 23 18 16 14 12 11 14 15 13 11 12 14 16 15 15 14 14 12 10 5 1 0 0 0 0 1 2 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 2 9 12 9 8 12 19 24 36 49 62 68 67 64 60 60 59 52 38 25 27 42 76 104 116 120 118 102 80 70 73 80 84 86 87 89 88 89 92 93 88 78 62 57 76 114 130 124 112 96 84 74 67 68 69 72 76 81 85 89 94 103 120 143 164 178 175 156 141 149 162 173 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 4 4 2 1 0 0 1 0 0 1 5 8 10 12 14 16 17 15 12 13 16 20 23 24 25 26 30 33 35 36 38 39 40 37 30 25 20 16 14 14 14 17 22 29 32 28 19 10 5 4 5 8 11 12 13 14 16 17 15 16 17 16 14 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 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 19 22 13 3 0 0 0 0 0 1 25 38 20 4 4 12 18 18 15 14 13 9 6 5 5 3 4 6 8 6 2 6 13 16 15 14 13 11 7 8 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 1 7 12 9 6 9 11 12 17 28 43 54 56 55 56 55 69 79 66 38 44 86 119 130 131 135 141 131 104 86 87 96 110 117 118 112 103 94 92 94 93 84 69 61 76 107 125 128 123 114 104 93 81 74 70 67 66 69 77 87 95 106 121 140 159 177 180 165 144 143 159 185 nan nan nan nan nan nan nan nan nan nan 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 3 2 0 0 0 0 0 0 1 3 5 7 10 14 14 13 10 9 9 11 13 14 16 19 21 22 21 24 27 30 32 31 28 26 24 20 16 13 12 16 22 29 32 29 23 18 12 8 8 8 9 11 12 13 13 12 9 9 10 9 8 5 5 5 5 4 4 4 4 4 4 3 3 4 3 3 3 4 5 5 6 7 8 7 7 7 7 7 7 7 7 6 4 3 4 4 3 3 3 4 4 4 4 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 1 5 2 0 0 0 0 1 1 0 6 24 27 10 1 0 1 2 2 2 2 2 1 0 0 1 0 0 0 0 0 0 2 9 16 15 14 13 9 2 3 8 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 3 9 14 16 14 14 18 21 18 14 17 30 44 48 52 60 63 86 103 91 76 76 107 116 110 112 123 138 147 135 114 104 107 119 133 140 136 125 110 97 95 97 92 76 65 76 103 123 130 131 131 128 123 116 106 98 90 84 82 85 92 102 111 123 136 152 174 187 178 150 138 146 174 nan nan nan nan nan nan nan nan nan 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 2 0 1 1 1 1 1 3 3 1 0 0 2 4 5 8 12 14 12 8 4 3 4 5 7 8 10 10 10 10 11 14 16 17 17 18 20 22 19 15 12 10 13 21 27 28 27 24 23 22 18 11 7 7 10 11 12 10 7 5 5 5 4 4 4 4 4 4 4 3 2 1 0 1 1 1 2 3 4 4 3 4 4 5 6 7 8 7 7 7 7 7 7 7 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 2 7 8 3 4 11 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 11 13 10 2 0 5 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 3 12 19 21 22 21 19 21 28 35 34 26 22 30 41 48 57 74 83 110 115 98 96 97 106 100 100 106 113 119 135 142 129 115 110 111 122 137 142 138 126 110 101 102 101 88 75 82 105 122 130 133 135 135 132 132 131 126 120 114 110 108 108 114 121 126 130 144 170 187 185 166 148 143 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 2 0 0 0 0 0 0 2 6 8 6 2 2 4 6 6 8 12 14 13 8 1 0 0 1 2 2 3 3 3 3 4 6 6 7 7 9 12 14 12 11 10 9 11 18 23 25 25 25 26 30 25 15 8 7 9 11 11 8 4 4 4 4 4 4 3 3 4 4 4 3 1 0 0 0 0 0 0 0 0 3 4 4 4 4 4 6 7 7 6 6 7 7 7 6 4 3 3 3 3 3 2 2 3 3 3 3 3 3 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 4 7 4 1 2 6 13 15 12 8 6 4 2 1 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 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 2 5 3 0 0 0 0 0 0 0 2 8 15 19 21 20 21 24 32 42 49 47 45 49 54 57 70 87 101 122 110 95 95 98 100 98 102 106 105 98 102 116 118 111 103 101 105 116 130 138 135 123 115 119 122 110 96 100 115 126 130 130 130 126 125 125 130 134 134 131 130 130 130 132 137 141 138 142 162 184 190 180 162 148 146 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 39 31 28 28 28 26 20 13 10 10 8 5 2 3 6 10 13 14 14 15 17 18 20 22 28 38 48 45 34 25 15 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 5 3 5 10 15 18 20 20 14 8 3 1 0 1 3 4 3 3 6 12 12 8 3 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 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 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 12 19 24 29 35 39 44 45 41 49 63 64 58 45 20 4 1 1 2 2 2 8 17 26 34 34 27 20 10 20 39 55 56 53 45 38 33 45 61 79 88 84 76 76 78 77 73 67 61 61 70 77 82 86 88 90 90 84 79 76 76 79 89 98 107 117 124 130 134 134 124 113 102 95 95 105 123 142 162 165 159 146 141 140 143 142 141 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 55 47 42 43 44 42 34 20 10 8 11 10 8 8 10 15 17 17 18 20 21 23 24 27 33 43 53 53 46 36 28 19 14 11 10 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 16 13 7 2 0 0 2 5 7 8 6 4 6 10 15 16 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 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 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 3 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 21 22 22 26 27 21 11 10 20 30 35 37 30 25 27 25 18 17 17 24 30 35 40 40 35 31 27 39 53 58 56 47 27 16 22 40 58 76 86 83 73 70 70 68 60 48 42 38 52 55 57 61 67 72 77 80 81 80 77 77 83 95 105 113 117 122 127 133 132 129 119 105 94 91 102 120 143 158 167 168 164 163 166 169 161 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 40 44 42 44 44 46 43 28 12 10 15 18 17 19 22 25 25 24 25 27 28 28 29 32 36 41 44 46 46 43 37 30 25 22 20 18 14 8 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 4 2 0 0 3 8 13 14 13 10 5 0 3 11 19 19 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 6 4 1 0 0 0 0 0 0 0 0 0 1 0 0 0 5 18 20 17 18 19 12 4 0 2 6 9 12 16 24 36 41 37 36 41 43 42 43 47 50 47 39 34 39 51 56 50 37 16 9 24 40 52 66 78 78 72 69 70 67 60 45 47 45 50 49 46 45 47 51 56 65 75 82 83 83 85 90 99 107 111 115 118 124 128 131 129 121 111 103 101 108 121 131 137 141 141 141 141 144 155 155 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 18 25 29 31 32 33 36 38 32 29 32 35 38 39 40 41 42 40 38 35 31 27 28 34 38 36 32 36 41 42 40 36 32 27 23 22 22 19 10 4 4 4 5 6 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 7 13 16 17 15 12 7 1 1 4 13 22 21 14 8 5 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 3 1 0 0 0 0 0 0 1 4 6 4 1 2 6 19 22 19 20 24 16 3 0 0 0 0 1 2 7 18 33 27 34 44 52 53 53 56 61 61 53 41 39 47 52 49 44 34 30 37 43 50 60 70 74 74 77 80 78 74 68 67 65 64 59 51 41 36 39 42 50 64 76 83 88 92 92 91 97 103 109 113 117 120 122 124 126 123 115 108 108 114 118 115 114 112 114 114 113 120 129 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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22 22 22 27 32 32 29 30 30 29 28 28 26 25 26 27 29 28 27 27 29 31 29 28 28 29 31 31 31 33 37 41 43 44 47 49 48 46 35 16 4 1 2 1 1 1 1 0 0 0 0 0 0 0 0 4 11 19 23 29 36 36 25 15 8 5 3 3 4 4 4 5 9 14 16 16 19 18 12 5 1 0 0 1 4 7 8 8 10 13 20 31 32 28 23 18 17 17 15 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 5 6 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 1 0 1 1 1 2 5 6 7 8 10 10 10 9 10 9 8 7 7 7 11 19 30 40 43 48 68 75 70 67 69 71 71 71 80 84 85 84 81 81 82 85 89 90 90 93 98 107 119 126 129 127 123 119 116 112 109 106 104 101 101 100 97 93 93 95 93 88 85 85 86 87 87 86 87 86 82 77 74 76 78 80 82 85 88 90 91 93 94 95 98 100 100 100 103 107 107 101 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 24 24 26 28 27 24 23 22 20 19 18 16 17 19 21 21 20 19 19 19 19 19 20 21 23 22 19 17 19 25 30 33 35 40 47 49 52 41 18 6 4 4 4 4 5 5 3 1 0 0 0 0 0 1 5 13 17 19 23 28 29 24 17 12 9 7 3 1 0 1 1 3 4 6 11 19 24 19 10 2 0 0 0 1 3 6 10 15 20 24 29 33 31 25 18 14 13 14 13 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 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 5 6 6 5 4 3 2 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 2 1 1 1 1 1 2 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 3 6 6 4 2 1 0 0 0 0 2 3 5 7 9 9 8 8 8 7 7 7 7 10 20 32 41 43 51 69 74 71 64 62 65 68 74 80 83 83 82 80 78 80 83 84 82 81 84 88 95 105 112 113 111 110 107 103 97 93 89 84 83 81 78 75 73 73 77 77 73 69 71 75 77 76 74 73 73 74 72 71 70 71 75 80 83 88 90 89 90 91 93 94 95 95 95 98 102 104 101 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 24 26 28 28 24 18 13 11 10 10 10 11 13 14 14 13 14 12 11 10 10 11 12 13 14 12 10 7 9 13 19 22 22 27 36 43 52 44 19 8 7 10 9 10 10 8 4 1 0 0 0 0 0 0 4 9 12 15 18 23 26 26 23 20 16 12 5 1 0 0 0 0 0 3 10 17 20 18 12 2 0 0 0 0 1 6 14 24 30 32 31 31 29 25 18 12 11 12 13 13 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 1 3 3 3 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 5 6 5 4 3 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 2 2 1 1 1 2 2 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 2 6 9 9 9 7 5 3 2 0 0 0 0 1 3 4 4 4 4 5 6 6 5 4 9 26 37 41 42 47 62 69 72 65 57 57 64 71 71 73 78 81 79 76 76 79 79 78 77 78 79 81 86 89 88 85 84 84 82 78 79 80 79 78 74 67 63 62 63 66 67 66 65 68 71 69 65 62 60 60 61 63 63 62 62 65 71 77 83 86 88 88 90 91 92 92 92 92 94 98 100 99 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 17 22 26 28 21 13 7 6 6 8 9 11 13 14 15 15 13 11 9 8 9 9 9 10 11 11 8 7 10 14 18 18 17 18 22 32 42 40 24 13 16 21 22 21 18 13 7 2 0 0 0 0 0 0 1 4 8 12 16 20 25 28 28 26 22 16 8 2 0 0 0 1 3 9 14 14 12 11 8 1 0 0 0 0 2 8 18 30 35 36 36 34 31 27 21 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 2 2 2 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 5 5 5 4 3 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 2 2 2 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 10 11 11 10 9 7 6 4 1 0 0 0 0 1 0 0 0 1 3 6 5 6 17 35 39 40 42 41 52 65 74 75 67 59 64 67 61 62 70 77 76 75 76 77 79 80 80 78 74 71 71 73 73 70 68 68 70 72 76 80 82 81 78 74 70 69 69 70 74 76 76 76 71 64 57 54 54 54 53 54 54 53 53 54 58 64 71 78 83 87 89 90 91 90 90 91 94 97 98 96 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
8 8 9 13 17 14 10 9 9 10 10 12 13 14 14 15 14 12 9 8 8 9 9 8 8 9 9 8 8 10 14 17 18 17 15 15 18 26 30 27 25 30 36 40 39 35 24 14 6 2 0 0 0 0 0 0 2 6 10 14 17 20 25 27 27 24 18 12 6 4 4 4 7 12 16 13 8 4 2 1 0 0 0 0 0 3 11 21 28 32 35 39 40 40 35 27 20 18 20 21 17 11 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 4 3 2 0 0 0 0 0 0 0 0 0 0 3 4 5 4 4 4 5 5 4 3 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 2 2 2 3 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 9 9 9 8 7 7 6 3 1 0 0 0 0 0 0 0 1 3 5 7 14 30 39 39 40 39 37 43 59 77 89 90 84 80 73 63 61 68 76 78 77 77 79 81 83 80 73 65 61 61 63 64 65 65 67 71 75 82 87 90 91 92 95 98 98 96 96 97 98 99 96 85 71 59 53 53 54 55 51 48 46 46 46 47 51 58 66 74 80 85 88 89 89 90 91 94 98 99 98 92 87 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 3 2 5 10 12 13 13 12 12 12 14 16 15 15 14 13 9 6 4 4 6 8 7 5 5 5 4 5 7 11 13 13 12 10 9 9 12 17 21 26 32 38 43 47 47 41 24 12 5 1 0 0 0 0 0 2 5 8 11 12 13 16 20 22 21 19 15 13 12 12 13 15 16 12 6 2 0 0 0 0 0 0 0 1 4 10 17 21 25 31 37 41 45 43 34 24 22 24 24 17 10 8 9 10 9 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 1 2 2 2 2 3 4 4 5 3 1 0 0 0 0 0 0 0 0 1 3 5 4 4 4 4 5 6 5 3 2 2 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 2 2 3 4 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 3 3 3 2 2 1 0 0 0 0 0 0 0 2 5 7 8 17 30 36 37 37 36 34 35 46 68 90 110 112 105 95 83 74 77 81 81 79 78 78 79 78 73 64 57 57 60 62 64 65 68 74 80 88 96 103 107 110 112 115 118 118 118 116 116 117 118 116 108 90 72 60 56 56 56 52 46 43 42 41 40 41 45 53 62 71 76 80 84 87 90 92 95 98 100 100 96 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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2 4 6 11 13 14 14 14 15 15 15 15 17 18 18 16 13 8 3 2 1 2 3 4 4 2 1 0 0 0 0 1 1 1 1 1 1 2 3 4 6 8 10 12 13 14 20 27 25 15 3 0 0 0 1 0 0 2 3 4 4 4 4 6 11 16 17 18 19 19 18 14 8 2 0 0 0 0 2 6 6 4 2 2 1 1 2 5 12 18 24 28 30 36 39 35 26 20 16 14 11 10 10 14 20 26 31 28 13 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 1 2 3 4 5 6 6 6 5 3 1 0 0 0 0 0 0 0 2 4 4 4 4 4 5 6 5 4 4 4 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 3 4 4 5 4 4 5 4 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 5 8 9 10 11 13 18 23 28 30 30 36 50 67 86 106 118 122 124 126 126 120 110 96 86 74 66 66 67 68 72 76 80 86 94 101 105 108 109 108 106 100 95 94 94 95 94 94 95 95 94 92 91 89 86 79 72 65 55 45 37 34 30 27 31 32 29 28 30 35 43 50 57 63 70 78 86 91 95 100 103 100 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 11 14 16 16 17 18 18 19 20 20 20 20 20 20 19 18 14 9 6 4 3 3 4 4 3 2 1 0 0 0 0 1 2 2 1 1 2 3 5 6 6 6 7 8 9 13 20 25 20 9 2 1 1 2 2 1 0 1 2 3 3 3 4 7 12 15 17 21 22 18 12 6 2 0 0 1 4 9 13 13 13 15 16 14 10 6 7 13 19 23 24 21 20 25 31 30 24 18 13 11 12 15 18 23 30 35 30 13 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 1 2 4 5 6 6 6 6 5 3 1 0 0 0 0 0 0 1 3 4 4 4 5 6 6 5 4 5 5 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 3 4 5 5 4 4 5 5 3 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 2 0 0 0 0 0 0 0 0 0 0 2 6 6 4 1 0 1 3 4 6 6 7 9 13 20 27 28 29 40 52 64 80 94 104 114 123 131 136 136 128 115 102 87 80 81 86 91 94 97 102 105 104 101 99 94 89 79 72 68 68 71 74 77 79 79 77 72 68 66 63 63 64 62 56 45 34 34 33 28 21 22 24 22 21 22 24 29 36 44 51 58 65 74 82 90 96 100 99 96 94 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 20 21 21 20 20 20 21 22 24 24 23 22 22 22 23 24 22 19 15 10 8 6 5 4 4 4 3 2 2 1 1 2 4 3 2 2 4 6 7 8 7 5 3 4 7 9 13 20 23 19 14 9 5 4 3 2 0 1 2 3 3 3 3 5 8 11 14 20 28 25 19 14 8 2 0 3 8 14 18 20 27 34 38 38 32 24 19 18 21 23 23 17 13 18 30 36 33 26 20 16 16 17 20 24 26 24 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 6 5 2 0 0 0 0 0 0 1 3 4 4 4 5 6 6 6 5 5 5 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1 1 2 1 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 4 4 4 5 4 4 5 5 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 2 0 0 0 0 0 0 0 0 1 3 8 14 18 12 4 1 0 0 1 2 2 1 4 6 8 19 23 24 33 44 54 62 69 78 86 96 108 118 127 134 134 131 126 118 113 112 113 111 106 101 96 87 79 76 72 67 61 55 52 50 50 55 60 66 68 65 57 52 52 51 51 52 51 45 38 37 38 35 27 18 14 14 10 11 12 15 18 23 30 38 46 54 62 72 81 88 94 97 95 93 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 25 24 24 23 23 23 24 25 26 25 24 24 22 23 25 27 27 26 24 21 16 12 8 6 5 5 5 5 5 5 5 5 5 5 4 5 6 8 9 8 8 5 2 0 3 7 8 13 21 24 24 18 12 7 4 2 1 2 4 5 5 4 4 4 6 8 10 16 24 29 26 23 18 8 3 5 11 15 15 15 21 36 46 49 46 42 32 25 23 24 23 19 15 21 33 40 39 32 25 19 15 16 19 20 16 10 4 1 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 6 6 7 6 4 1 0 0 0 1 1 2 2 4 4 4 5 6 6 6 5 5 5 4 3 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1 2 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 4 4 4 4 5 5 5 6 5 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0 0 0 0 0 0 0 0 0 4 10 18 26 30 22 12 4 0 0 0 0 0 0 0 1 4 10 15 19 26 35 44 54 59 61 66 70 73 84 95 107 121 132 139 141 136 126 118 109 96 84 74 67 62 59 56 51 45 39 39 38 36 36 41 48 48 50 44 36 35 40 42 43 43 42 43 46 44 38 28 16 7 3 4 4 5 8 12 12 17 23 31 41 51 60 69 77 84 89 91 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 27 26 26 25 25 25 25 26 27 27 26 25 23 23 25 26 26 26 26 26 23 19 14 10 7 6 9 10 9 9 10 9 8 8 9 9 10 11 11 11 10 7 3 0 1 4 6 7 12 17 22 23 19 11 5 4 3 4 6 7 7 5 5 4 6 7 7 9 16 25 28 27 23 14 8 9 13 14 10 6 11 25 36 39 39 37 26 20 21 23 23 22 22 28 35 39 37 31 24 17 14 15 15 11 5 3 2 0 4 8 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 6 6 7 7 7 7 6 2 0 0 1 3 4 3 3 4 5 5 5 6 6 6 5 5 5 4 4 3 4 3 2 2 1 0 0 0 0 0 0 1 1 1 3 4 4 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 4 4 4 5 6 6 4 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 28 34 33 26 14 5 1 0 0 0 0 0 0 0 1 3 6 11 17 22 30 45 50 52 56 60 61 58 61 73 90 106 121 130 130 120 106 92 80 70 62 56 51 50 47 44 42 40 37 34 31 29 31 32 30 32 31 28 27 30 30 31 37 42 48 51 48 42 31 18 8 2 2 3 3 2 7 6 7 11 16 25 36 46 56 64 72 78 82 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
26 26 26 25 25 25 24 24 26 26 26 25 24 23 23 24 25 24 23 24 25 24 23 21 18 15 15 17 20 20 19 16 14 12 12 13 14 15 15 15 15 15 12 6 2 2 5 6 5 5 8 13 22 22 12 6 4 4 5 7 8 9 7 6 5 6 7 7 5 10 18 24 26 23 17 13 14 17 15 10 7 10 18 24 23 21 19 13 10 13 19 21 23 26 30 33 33 30 25 20 17 16 16 14 9 5 4 5 8 12 11 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 2 3 4 5 6 6 7 7 7 6 3 0 0 1 3 5 5 4 4 5 5 5 5 6 6 6 6 5 5 4 4 4 3 2 1 0 0 0 0 0 0 1 1 2 2 4 6 6 5 5 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 5 6 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 25 36 38 32 21 10 3 0 0 0 0 0 0 0 0 0 0 1 3 9 18 22 36 42 44 46 50 51 52 50 53 62 73 88 102 108 103 92 79 68 60 53 49 48 47 46 47 47 42 39 34 31 31 30 29 27 22 19 19 16 26 25 25 30 35 41 46 45 39 30 20 13 6 4 1 1 0 2 2 2 3 6 10 17 29 42 53 61 67 73 80 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
23 23 22 22 23 24 24 24 24 24 24 24 24 23 22 22 22 22 21 22 22 22 23 23 23 21 20 21 22 23 23 20 17 15 14 15 15 16 15 16 18 18 18 13 9 7 8 8 6 4 4 8 16 20 13 6 4 4 5 7 9 11 9 7 7 6 8 6 5 7 14 20 23 22 19 18 20 22 22 18 16 17 20 20 18 15 14 11 8 10 15 20 25 30 33 32 28 24 20 19 19 19 16 16 17 19 17 21 23 18 11 6 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 1 3 4 5 5 6 7 7 7 6 4 0 0 0 2 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 3 2 1 0 0 0 0 0 0 1 2 2 2 4 6 7 7 6 6 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 4 4 5 6 7 6 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 4 15 30 44 48 32 17 7 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 20 29 38 41 42 42 42 42 42 42 45 50 57 67 79 77 75 66 58 54 54 54 54 54 54 56 52 46 40 32 28 27 26 24 22 16 11 11 12 16 16 16 20 24 30 36 37 31 26 22 16 10 6 1 0 0 0 0 0 0 1 2 4 12 26 39 50 57 64 71 75 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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19 19 19 19 18 17 17 16 17 17 18 18 20 22 24 26 29 31 32 33 33 31 27 25 22 22 22 20 18 16 16 17 17 17 17 17 17 16 16 16 18 21 26 33 34 31 29 26 22 19 18 18 20 19 15 14 22 28 23 12 4 2 1 0 2 7 12 11 9 15 23 22 14 12 13 15 17 20 21 22 22 20 20 19 16 13 9 7 9 15 22 24 24 27 32 26 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 0 0 0 2 6 8 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 1 5 15 23 21 14 9 5 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan
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