Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 5 5 6 7 7 7 7 7 7 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 3 3 3 2 2 2 1 2 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 7 6 6 6 6 6 6 7 8 8 9 9 9 8 7 5 5 5 5 5 5 6 6 7 7 7 9 15 13 8 6 6 4 6 3 9 7 8 8 1 -1 8 11 6 1 2 0 1 3 8 4 -1 2 5 1 3 4 3 3 6 8 6 1 1 10 17 8 -3 1 12 15 9 4 1 3 9 12 10 5 5 7 8 11 8 2 4 6 4 2 1 5 9 12 19 26 28 28 24 14 7 5 3 3 3 3 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 2 3 3 3 2 3 4 4 5 5 5 5 5 6 7 11 15 19 21 22 22 20 15 10 8 7 6 6 5 5 7 8 8 6 6 5 5 5 4 4 4 5 5 4 3 5 7 2 4 5 5 4 4 4 4 4 4 3 3 2 2 4 8 9 7 4 3 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 3 3 2 1 2 6 11 16 21 25 26 22 17 12 11 15 17 15 10 8 10 21 31 24 13 9 6 2 -2 -4 -7 -4 -10 -5 1 -4 -4 2 3 -0 -4 -4 -4 -10 -17 -13 -8 -9 -10 -6 1 5 5 5 5 7 11 17 20 20 12 7 7 8 9 10 10 9 10 12 13 11 11 13 13 11 9 7 6 6 4 3 3 4 4 3 4 6 8 9 10 10 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 6 5 4 3 4 5 5 6 6 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 2 3 3 4 4 4 4 3 3 3 4 4 4 4 3 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 5 5 5 5 4 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 9 8 7 6 5 5 5 6 5 6 7 7 7 8 12 14 13 12 10 8 7 8 10 10 5 11 8 2 -3 0 5 6 3 2 -2 -7 -6 0 3 1 1 2 0 3 2 0 2 8 9 7 3 -1 5 16 13 5 6 13 16 10 3 -1 3 10 11 10 8 5 3 8 9 5 3 7 8 5 5 6 9 12 19 26 28 27 25 17 9 6 4 4 3 3 3 3 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 2 3 3 3 4 5 5 5 4 4 5 5 7 10 15 21 26 25 19 12 11 10 8 6 5 5 6 7 7 8 7 6 6 6 6 5 5 5 4 4 4 4 4 4 2 1 5 5 4 3 4 4 4 4 4 4 3 1 1 4 8 10 8 5 4 4 4 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 3 1 0 0 2 7 13 18 24 30 33 33 29 25 23 19 14 8 5 5 6 11 22 29 28 23 17 12 10 8 6 4 3 2 4 3 4 5 6 8 6 4 3 2 0 -3 -1 -4 -8 -8 -2 4 6 5 5 5 5 7 10 14 12 7 6 7 7 8 7 6 6 7 8 7 8 8 10 10 9 7 6 5 4 3 3 3 2 2 3 5 7 8 8 7 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 5 4 4 4 5 5 5 5 5 6 6 6 7 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 3 3 3 2 3 2 2 2 2 2 2 2 2 2 2 3 4 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 3 3 3 2 2 3 3 4 4 3 3 3 3 4 4 3 3 4 3 3 3 3 3 4 3 4 4 4 4 4 4 5 4 4 4 4 5 4 4 3 4 5 6 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 4 4 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 9 9 9 9 8 6 6 5 5 5 6 6 7 7 7 9 12 13 15 15 12 11 10 6 8 9 9 10 6 3 -3 -6 -6 1 9 12 9 2 -1 2 6 4 1 -0 0 2 1 1 5 10 10 8 5 2 8 15 14 9 6 6 11 9 3 2 4 8 10 10 9 5 5 7 4 5 9 10 7 4 5 7 9 12 17 24 27 23 17 10 7 6 4 4 3 3 3 3 3 3 3 3 4 3 2 2 2 2 2 2 2 2 3 3 2 2 2 3 3 4 5 5 5 5 4 4 5 7 10 15 21 28 28 18 6 3 5 5 4 4 5 6 7 7 6 5 6 6 6 6 5 5 5 4 3 4 5 5 4 -3 -7 1 4 -0 -2 2 4 4 4 5 4 3 2 1 3 6 8 7 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 2 -0 -0 2 5 9 10 12 16 20 24 27 28 27 22 14 7 4 4 5 6 6 8 16 23 28 24 13 10 9 5 3 6 8 10 9 7 5 7 9 10 9 6 5 8 7 7 4 1 -0 1 4 6 5 5 5 5 5 6 8 9 8 8 7 7 7 6 6 5 5 6 6 6 6 7 8 8 6 6 5 5 4 3 2 1 1 2 4 6 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 9 7 6 5 4 5 5 5 5 4 5 5 6 6 6 6 5 5 5 5 4 4 4 3 4 4 3 3 4 3 3 3 3 3 2 3 3 3 2 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 2 3 3 3 4 4 4 3 3 4 3 4 4 4 4 3 3 3 3 4 3 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 3 4 4 6 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 6 5 5 5 5 4 4 5 6 5 5 5 5 6 6 7 7 7 7 7 7 8 9 9 9 9 8 7 6 6 6 5 6 6 7 7 7 7 6 5 11 13 9 8 6 1 -1 4 7 4 2 2 -1 -4 -5 -0 11 16 15 15 11 7 7 7 3 -0 0 1 2 7 11 11 9 8 6 4 10 15 15 10 6 3 2 4 7 8 5 4 6 7 5 5 7 6 5 8 10 9 6 5 5 7 9 12 20 25 23 15 10 8 6 5 4 3 3 3 3 3 3 3 3 4 4 3 3 2 2 2 2 2 2 3 3 2 3 3 3 3 4 5 5 5 5 5 5 5 5 6 9 14 20 26 28 20 8 2 3 3 3 3 4 5 5 5 3 4 6 6 6 6 6 5 4 4 4 5 5 6 6 -1 -10 -6 -0 -2 -3 1 4 4 4 5 4 4 2 1 2 3 5 5 5 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 2 2 2 1 1 2 1 1 0 0 3 7 10 10 8 7 8 9 11 14 17 17 12 6 3 3 4 4 4 4 3 4 8 18 22 14 10 8 6 3 4 8 11 12 10 8 7 8 10 9 7 7 5 4 6 8 7 5 5 6 6 6 5 5 5 6 6 6 7 8 8 7 7 6 6 5 4 4 5 6 6 6 6 6 6 6 5 5 4 4 4 2 1 1 2 3 5 6 7 6 7 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 14 12 9 7 6 5 5 5 4 4 5 6 7 7 6 6 6 5 4 5 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 3 3 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 4 4 3 4 5 5 5 5 4 5 4 4 4 5 5 5 5 4 4 5 6 6 7 7 7 7 7 7 8 9 9 9 8 8 6 6 6 6 6 7 7 8 8 7 1 -5 2 7 4 5 4 -0 3 1 -0 2 4 7 6 3 1 2 8 9 7 8 8 7 7 6 4 2 1 3 4 10 13 10 9 9 7 4 5 7 8 8 7 4 -0 2 7 7 3 -3 -4 -0 1 7 8 7 9 10 9 9 7 5 5 7 9 16 24 24 16 9 7 6 5 4 3 3 3 3 3 2 3 3 3 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 5 6 5 5 5 5 5 5 6 9 12 16 19 22 22 19 15 9 3 2 3 4 4 4 3 3 4 4 5 4 4 4 4 4 4 5 6 6 6 6 3 -3 -8 -4 7 9 5 4 4 4 4 4 4 3 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 2 3 3 3 3 3 3 2 3 3 2 1 1 1 1 -0 -0 0 0 1 4 9 12 12 9 7 6 6 5 6 7 8 8 5 3 2 1 1 -1 -2 -1 -1 -2 -1 4 11 12 9 8 7 5 5 6 9 10 11 10 9 11 13 11 8 11 10 7 6 7 7 7 6 6 6 6 5 5 5 6 6 6 6 7 7 8 7 7 6 5 5 4 4 5 5 4 5 6 6 6 5 4 4 4 4 3 1 1 2 4 6 6 6 6 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 21 20 18 15 13 11 9 8 6 5 6 7 7 8 8 8 7 7 6 5 5 6 6 4 3 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 5 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 3 4 4 5 5 4 4 4 4 4 5 4 5 6 5 4 4 5 5 6 6 6 7 7 7 6 7 7 8 8 8 8 7 6 6 6 6 7 8 8 8 7 4 2 5 4 0 6 6 -2 1 1 -1 4 8 11 10 7 2 4 9 7 4 6 6 6 8 6 4 4 4 6 6 7 9 7 7 8 6 1 1 1 -2 2 6 7 5 4 3 -1 3 4 -2 -1 5 10 9 9 12 10 9 9 7 5 5 7 11 17 20 15 9 7 7 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 6 6 5 5 5 5 5 5 6 8 11 13 14 14 18 22 25 22 9 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 5 7 7 6 5 5 6 4 -4 -4 6 12 8 4 4 4 3 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 1 1 1 0 -0 -0 -0 2 4 9 12 13 10 7 6 6 6 6 6 5 6 6 5 4 3 1 -3 -7 -9 -6 -7 -9 -6 -2 3 7 8 7 7 7 7 6 7 7 7 12 11 11 18 17 13 12 10 9 8 7 6 6 7 7 7 6 5 4 4 6 6 6 6 6 7 7 7 7 6 5 5 5 4 4 3 3 4 5 5 5 5 4 4 4 4 3 3 2 3 5 7 6 5 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 17 18 19 19 18 17 16 13 11 8 8 8 8 8 8 8 8 8 7 6 6 6 6 5 3 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 4 3 3 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 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 4 3 3 4 4 4 5 4 3 4 4 4 5 6 5 5 4 4 5 5 5 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 7 8 8 9 9 8 9 12 7 1 4 3 -6 -8 -2 4 8 8 6 5 4 2 8 11 5 5 11 11 8 8 7 4 4 6 5 7 7 7 5 5 4 3 2 3 6 -2 -2 1 6 8 2 2 0 8 14 2 1 9 9 10 10 10 8 6 7 7 4 4 6 11 18 16 10 7 7 7 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 6 8 10 11 11 11 12 16 24 28 18 8 6 5 4 3 4 5 4 4 4 4 3 3 3 4 6 6 6 5 4 4 5 5 3 -3 -5 1 5 4 4 3 3 3 3 3 3 2 2 1 1 1 1 2 2 3 3 3 3 3 3 2 1 1 1 2 2 2 2 1 2 2 1 2 2 2 1 1 1 1 1 1 0 1 1 2 5 8 10 11 9 7 5 6 6 6 6 6 6 6 6 5 5 5 3 -2 -5 -7 -5 -3 -6 -6 -1 2 4 6 7 6 6 7 7 7 6 1 3 9 11 16 17 13 9 7 6 7 7 6 6 7 7 7 7 3 -0 1 3 5 6 6 6 6 7 7 7 7 6 6 5 5 4 3 2 3 3 4 4 5 5 4 4 3 2 3 3 3 5 6 6 6 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 12 13 14 16 17 17 14 12 10 9 8 8 8 7 7 7 7 8 7 7 6 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 4 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 4 4 4 4 3 4 5 6 5 4 4 4 5 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 7 7 8 9 9 8 6 6 8 8 4 -0 -3 -3 2 5 5 3 1 2 3 7 13 9 3 7 13 13 8 7 5 3 3 7 7 9 8 4 4 3 -1 3 10 12 12 7 2 -1 2 6 10 9 -0 1 9 4 2 7 8 7 8 10 8 5 5 5 4 5 8 15 20 15 9 8 8 6 5 4 4 3 3 2 3 3 3 3 3 3 3 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 10 12 18 27 25 15 10 8 7 6 6 6 6 6 6 6 7 6 5 5 6 5 5 4 4 4 4 5 5 2 -3 -4 2 4 4 3 3 3 3 3 3 3 2 2 2 2 1 1 2 3 3 3 2 2 3 2 2 1 1 1 2 2 1 2 2 1 2 2 2 2 2 1 1 1 1 1 1 1 2 5 8 10 9 7 6 5 5 6 6 5 5 6 6 6 6 5 4 5 7 4 2 1 2 4 3 2 3 3 4 4 5 5 5 6 7 8 10 3 -6 -2 5 10 10 7 6 6 6 6 7 6 5 6 7 8 10 7 -3 -7 -4 2 6 5 5 5 6 7 7 7 7 7 6 5 4 4 2 2 2 3 3 4 5 4 3 2 3 3 3 3 5 6 6 5 4 4 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 8 8 7 8 10 11 11 10 9 7 7 6 6 6 5 5 6 7 8 7 7 6 6 5 5 5 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 5 5 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 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 6 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 6 6 5 4 5 6 6 7 7 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 8 4 1 4 10 9 6 7 7 7 6 6 5 4 5 5 11 15 8 5 8 7 10 9 7 4 4 4 7 10 10 5 2 3 -1 -3 5 16 15 12 13 8 4 1 0 4 8 6 5 5 8 5 8 14 14 9 8 8 6 4 4 5 7 12 18 19 12 9 8 7 6 5 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 4 4 5 6 5 4 4 5 5 5 5 5 6 8 8 8 8 9 10 13 22 32 27 19 15 13 11 11 10 9 9 9 9 10 11 11 9 7 4 3 4 5 4 4 5 5 6 3 -1 0 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 0 1 6 9 9 7 5 4 5 6 6 6 5 5 5 5 6 6 8 5 1 5 7 5 4 5 5 6 6 4 3 3 3 3 5 6 5 6 10 17 15 2 -4 0 5 6 5 5 5 6 6 6 6 5 5 6 9 16 16 6 -3 -8 -3 4 5 5 5 5 6 6 7 8 7 6 6 5 5 3 2 3 3 3 4 4 4 4 3 3 4 4 3 4 5 5 5 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 8 7 6 6 7 7 6 5 5 5 4 4 4 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 4 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 10 10 9 8 6 3 3 5 7 10 13 7 3 8 13 16 16 12 8 9 12 10 10 10 6 8 10 8 6 5 5 7 10 6 1 2 3 -2 -2 6 17 13 9 9 4 6 2 1 5 4 7 9 1 4 2 8 18 22 17 10 6 3 1 3 5 8 14 18 15 10 9 8 7 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 2 3 3 4 4 5 6 5 4 5 5 5 5 4 5 6 7 7 7 7 7 8 10 16 27 33 31 28 24 20 17 15 12 10 10 10 10 13 15 13 9 5 4 5 5 5 5 4 5 5 5 2 2 4 5 4 4 4 4 4 3 3 3 3 3 2 2 3 2 3 3 3 3 3 2 3 2 2 1 1 1 2 3 2 2 2 2 1 1 2 2 2 2 2 1 1 1 1 2 5 8 7 5 4 4 6 6 6 5 5 5 5 5 5 6 12 15 7 3 5 5 5 5 6 5 6 6 4 3 4 5 9 12 11 9 10 16 21 15 4 3 5 5 5 5 5 5 6 6 6 6 5 5 8 15 21 15 9 4 -3 0 4 5 4 5 5 5 6 7 7 8 7 6 6 5 4 4 4 4 4 4 5 4 3 3 4 4 4 3 5 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 7 6 6 6 7 6 6 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 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 3 3 3 4 4 4 3 3 3 3 4 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 6 7 8 7 7 6 7 7 7 7 6 6 6 6 7 8 9 11 11 11 11 11 10 8 6 6 4 3 4 6 5 -0 -0 10 17 19 14 7 5 6 10 12 14 11 7 6 9 9 6 3 3 7 11 7 -0 3 5 -0 -2 4 12 9 5 5 2 3 1 6 16 7 7 1 -6 -5 -2 6 14 19 16 10 6 4 5 5 5 8 14 16 11 9 8 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 9 13 22 28 30 30 28 25 22 19 17 17 15 13 13 13 14 12 8 5 5 6 7 7 6 6 6 7 8 5 3 4 3 3 3 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 1 -0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 10 19 14 6 5 4 4 5 6 6 8 9 8 6 7 10 15 19 17 12 9 9 10 11 7 5 5 5 5 5 5 5 5 5 6 6 6 6 6 10 16 14 10 10 5 2 4 4 4 4 5 6 6 6 7 8 8 8 7 6 5 5 5 4 4 4 5 4 4 4 5 4 4 4 5 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 5 6 7 7 6 5 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 5 5 5 5 4 4 3 3 3 3 4 5 5 5 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 5 4 3 4 4 3 4 3 3 4 4 4 4 3 3 3 4 4 5 5 5 5 6 7 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 4 6 7 8 7 7 7 6 6 7 7 7 7 7 7 7 9 11 11 11 10 11 11 10 9 7 6 5 6 6 3 -4 -5 3 13 15 10 2 -0 2 6 11 10 8 6 5 5 8 10 8 3 2 8 16 13 5 5 5 1 -2 2 7 5 2 2 5 6 5 14 16 5 3 6 4 3 5 8 13 10 8 8 7 8 10 10 7 10 15 14 9 9 8 7 5 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 2 3 3 3 4 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 9 13 16 19 21 23 23 24 25 25 24 22 19 15 13 13 11 9 10 13 16 17 14 11 11 11 10 4 2 2 2 2 2 3 3 4 4 3 3 3 2 2 2 2 2 2 3 3 3 3 2 2 1 -0 -1 -0 1 0 1 2 2 2 1 2 2 2 1 1 1 1 3 8 12 12 6 1 2 4 6 5 3 3 3 3 -0 -3 -2 -1 -1 1 7 13 12 6 5 5 3 3 5 6 7 11 11 12 13 12 11 12 13 8 4 4 3 3 4 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 9 10 8 8 5 3 4 4 5 5 5 6 6 6 7 7 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 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 nan nan nan
nan nan nan nan nan nan 4 4 5 4 5 6 7 7 6 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 3 3 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 3 3 4 3 4 4 3 3 3 4 4 4 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 7 7 7 7 7 7 6 7 7 8 7 7 7 8 11 10 8 8 8 8 9 11 10 9 8 5 2 2 2 -4 -1 10 13 3 4 6 8 4 4 7 8 4 2 4 5 8 10 11 7 2 5 14 18 12 6 6 6 5 4 6 5 2 0 5 5 10 17 10 9 8 18 23 20 15 9 11 7 6 9 8 10 10 8 9 15 17 13 9 9 8 6 5 4 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 7 8 12 15 17 17 18 20 22 23 23 22 19 19 22 25 22 21 19 19 19 17 15 8 1 1 1 1 1 1 2 3 3 3 3 3 2 1 0 0 1 2 2 2 2 2 2 2 1 1 -0 -1 1 2 1 -1 -1 1 2 1 2 2 2 1 1 1 2 7 15 21 19 8 -1 -2 1 4 5 2 -1 -0 -1 -4 -9 -10 -9 -7 -3 0 6 8 6 6 5 5 5 6 6 4 7 9 10 11 8 4 4 5 4 2 2 2 2 3 4 4 5 5 5 5 5 4 4 5 5 6 6 6 6 7 8 10 11 7 3 4 5 5 5 5 5 6 6 6 7 7 7 8 8 7 6 6 6 6 6 7 6 6 6 6 7 7 6 6 6 6 5 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 4 4 5 5 6 6 6 6 6 6 4 3 3 2 2 2 2 2 3 3 3 3 2 2 3 3 3 4 4 4 3 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 3 3 4 5 5 4 5 5 5 6 5 5 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 7 7 7 6 7 7 8 7 7 6 8 11 7 4 6 7 6 7 10 10 11 10 4 -4 -4 2 -2 3 9 13 1 10 16 14 6 2 2 8 6 2 6 6 6 10 13 9 5 8 10 11 10 7 8 11 11 8 6 5 2 0 2 4 10 10 6 9 7 16 27 24 16 11 8 8 11 11 8 7 7 5 11 17 15 10 9 9 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 8 9 12 16 21 22 22 23 23 21 16 12 10 12 15 15 13 4 1 2 1 1 1 1 2 3 3 3 2 2 1 0 -1 -1 -0 1 1 2 2 2 2 2 1 1 2 3 6 7 4 0 -2 -1 1 1 1 1 1 1 2 4 7 13 19 21 18 10 0 -5 -6 -2 2 0 -4 -5 -4 -4 -6 -8 -9 -9 -4 -0 2 4 6 7 7 8 9 13 14 8 6 8 6 6 7 6 4 3 3 2 2 2 3 4 4 4 5 5 5 5 5 4 4 4 5 5 6 7 7 7 7 8 10 11 7 5 5 5 5 5 5 6 6 5 5 7 7 7 7 6 6 6 7 6 6 7 7 7 7 8 8 8 6 5 7 7 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 nan nan nan
nan nan nan nan nan 2 2 2 3 3 4 4 5 6 5 6 7 7 5 4 4 3 2 2 1 1 2 2 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 4 3 4 3 4 4 5 5 4 4 3 3 3 4 3 4 4 3 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 5 4 5 5 5 6 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 7 6 7 8 4 4 8 9 7 6 8 11 11 9 4 -2 -3 2 1 2 4 3 3 8 15 6 5 1 1 6 5 4 13 11 6 9 14 12 9 11 9 5 3 4 5 6 7 4 2 4 1 -1 2 6 9 2 5 7 4 7 15 16 13 11 10 10 10 9 7 4 3 5 14 17 11 9 10 9 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 3 3 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 3 4 4 4 5 5 7 9 10 12 12 9 6 6 6 6 7 7 9 7 4 3 3 2 2 2 2 3 4 4 3 2 2 2 3 4 2 1 2 2 1 1 1 -0 -0 0 2 4 6 11 14 10 3 0 -0 0 1 1 1 2 5 9 13 17 18 14 13 12 10 5 -4 -10 -9 -6 -6 -8 -6 -3 -1 -1 0 1 0 2 4 4 3 4 6 7 9 11 16 20 16 10 8 6 6 7 6 5 4 3 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 6 7 8 8 8 8 9 9 7 6 5 4 5 5 7 8 6 4 6 7 7 6 5 5 6 7 6 6 7 7 7 8 8 9 9 7 6 8 7 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 2 2 2 2 2 4 5 5 5 6 6 6 5 5 4 4 3 2 2 2 3 3 2 2 2 3 3 3 3 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 5 4 4 4 4 4 3 3 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 6 7 7 7 7 6 6 6 6 5 5 7 9 11 10 7 7 10 11 8 5 3 1 3 8 6 7 -1 1 -4 5 1 8 3 2 0 2 6 16 14 8 11 14 13 12 13 10 4 2 3 0 -1 1 1 -1 3 3 1 4 7 6 -0 1 6 7 3 6 8 9 9 7 7 7 7 4 2 3 9 17 15 9 9 10 8 7 6 5 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 5 6 5 5 5 6 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 6 5 5 4 4 3 3 4 4 4 4 4 3 2 3 8 11 11 10 8 5 2 -0 -1 -2 -3 -1 1 4 6 8 12 12 6 3 7 8 8 7 7 8 14 19 22 21 14 5 1 3 6 6 -1 -9 -12 -9 -6 -3 -1 0 1 2 3 4 5 5 5 5 5 6 6 6 8 3 2 10 13 8 6 5 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 4 5 6 8 9 9 8 8 8 7 6 5 4 4 5 6 9 9 6 6 8 7 6 5 5 5 6 5 5 6 7 8 9 10 9 8 6 7 8 7 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 2 2 1 1 1 2 3 4 3 4 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 4 4 5 5 6 5 5 5 5 4 4 6 6 5 6 6 6 6 5 4 4 4 4 4 4 5 4 4 5 5 7 8 8 6 6 6 6 6 6 6 8 9 11 11 9 8 9 10 8 7 5 1 3 12 8 7 10 8 -9 2 8 15 10 7 -1 1 5 5 4 7 13 14 12 11 12 10 6 6 3 -0 1 3 5 4 2 2 5 10 9 5 -0 -3 -0 4 1 5 6 6 4 3 6 6 4 3 3 6 12 17 12 8 9 9 8 6 5 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 2 2 3 3 3 3 4 3 3 3 2 3 3 4 4 4 4 5 5 5 5 6 5 5 5 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 3 3 4 4 4 5 6 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 3 3 4 9 17 21 22 18 11 4 1 -1 -3 -4 -2 2 4 5 5 5 8 8 10 19 24 24 19 16 16 20 21 16 5 -1 -4 -10 -10 -4 1 1 -3 -3 1 5 4 2 2 3 3 3 3 4 5 6 7 7 10 11 11 9 6 0 1 5 3 4 4 4 5 5 4 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 4 3 3 3 4 5 7 9 9 9 9 8 7 6 5 5 5 5 5 7 8 8 8 8 8 7 6 5 5 6 5 4 4 6 8 10 10 8 6 6 6 6 6 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 2 3 2 1 -0 0 2 2 1 2 4 5 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 3 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 3 3 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 4 4 4 5 5 5 5 6 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 5 6 8 8 7 6 6 7 6 6 6 7 9 10 10 9 9 10 9 8 9 9 4 5 11 14 1 6 12 3 3 9 13 13 11 2 3 2 -5 -5 2 13 14 11 8 8 6 6 8 8 8 7 7 12 13 3 -0 8 12 12 7 2 -3 -2 3 0 2 4 4 2 3 6 5 3 4 5 7 14 16 11 8 9 8 7 6 5 4 4 3 4 3 3 4 3 3 3 4 4 4 3 3 2 2 2 3 3 3 3 3 2 2 3 3 3 4 4 4 4 5 5 4 5 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 8 8 7 7 7 7 6 6 5 5 5 5 4 4 3 5 11 19 27 30 25 14 6 3 2 1 -1 0 2 2 6 9 7 6 10 18 28 33 33 27 20 15 13 9 2 -7 -13 -12 -10 -11 -9 -2 4 6 6 6 10 8 4 5 6 5 6 6 5 6 9 12 13 13 12 13 12 13 8 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 6 6 6 6 5 4 3 3 4 5 6 8 10 9 9 9 8 7 5 5 5 5 5 6 7 8 9 9 8 8 8 7 6 6 5 5 5 5 7 9 10 8 6 5 5 5 5 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 1 3 2 1 -0 1 2 2 -0 -0 2 4 3 2 1 1 2 3 3 3 3 3 3 3 3 3 4 3 3 3 4 5 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 6 5 5 5 5 5 4 4 5 5 4 3 3 3 3 3 4 5 6 7 8 7 7 6 6 6 6 6 6 7 9 10 10 10 11 9 8 9 10 8 6 11 20 6 -2 1 8 -3 5 2 7 10 4 4 4 -2 -3 1 10 15 14 11 7 4 4 4 7 12 10 9 16 16 5 2 7 9 10 8 4 2 5 4 1 1 3 4 2 6 6 4 4 4 5 8 15 16 10 8 9 8 6 5 5 4 3 3 4 3 3 3 3 2 3 4 4 4 3 2 2 2 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 8 7 7 6 5 5 5 5 5 5 5 4 6 11 19 27 32 28 17 7 3 5 6 5 5 4 1 4 12 11 9 11 19 25 28 25 19 13 9 3 -1 -1 -2 -6 -5 -0 0 -1 1 5 8 7 6 6 6 6 8 9 8 11 17 14 11 14 18 19 15 7 6 10 8 5 5 5 5 5 4 4 4 4 4 5 4 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 5 4 3 4 4 5 8 11 11 7 7 9 7 6 5 5 5 6 6 8 8 8 8 8 9 10 9 8 7 7 6 6 5 7 10 11 10 8 7 5 4 5 6 5 4 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan -0 -1 0 2 2 2 1 2 3 2 -0 -2 1 3 2 0 -1 -0 0 2 2 2 2 2 2 3 3 4 3 3 3 3 4 4 5 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 5 5 5 4 5 5 4 3 4 3 2 3 3 3 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 8 6 5 4 6 6 6 5 5 5 5 5 4 3 3 3 3 3 4 4 6 7 7 7 7 7 7 7 7 6 6 7 8 9 9 11 12 9 7 8 9 8 5 10 18 11 -2 1 6 -4 -0 -6 -2 1 3 4 9 6 2 2 8 19 20 15 8 4 5 4 6 9 9 10 15 12 4 3 5 6 7 6 4 5 9 5 4 5 4 5 5 9 6 4 4 4 5 8 15 14 8 8 8 7 6 6 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 2 2 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 5 4 5 5 4 4 4 5 5 4 5 4 5 5 5 5 6 6 7 7 7 7 6 7 6 5 5 4 5 5 6 6 5 6 10 15 22 28 29 23 15 8 5 7 7 7 6 4 3 6 7 7 9 12 14 15 15 10 9 11 10 5 3 4 5 5 5 5 4 4 4 6 6 5 4 5 7 11 15 15 17 22 24 21 18 15 13 13 9 4 5 5 5 5 4 5 5 5 4 4 4 4 5 4 4 3 3 2 2 2 3 3 4 5 5 6 7 6 6 6 5 3 3 4 5 7 11 14 9 5 8 8 7 6 6 6 6 7 9 9 8 7 8 9 10 11 10 9 9 8 8 7 8 11 13 14 12 9 5 4 4 5 4 2 2 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 nan nan -2 -1 1 2 2 1 1 2 3 3 1 -0 1 3 2 0 -1 -1 -0 0 1 2 2 1 1 2 3 3 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 6 7 8 8 8 7 6 4 5 10 13 12 9 6 6 6 4 3 3 3 3 3 3 4 4 5 6 7 7 8 8 7 7 7 7 7 7 7 8 10 13 12 10 7 6 8 7 2 7 12 8 3 13 11 2 -9 -13 -3 -4 3 7 13 13 6 4 14 24 21 13 9 10 10 9 8 8 8 11 13 9 4 2 3 5 6 6 5 6 7 5 7 9 6 8 10 9 6 5 5 4 5 10 17 15 8 8 7 6 6 6 5 4 3 4 3 3 3 3 3 3 3 4 4 3 3 3 2 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 6 5 4 4 5 5 5 6 6 6 8 11 16 21 25 27 27 24 14 10 9 7 7 7 4 2 -2 -5 -1 2 2 3 6 9 10 11 12 9 6 6 6 6 5 5 4 4 4 4 5 5 5 6 6 12 17 17 16 16 19 18 13 8 7 9 10 6 6 5 5 4 4 5 5 5 4 4 4 4 4 5 4 4 3 2 2 2 2 3 4 4 5 6 6 7 7 7 5 2 3 4 4 5 8 13 12 8 7 8 7 8 8 8 7 9 9 9 7 6 7 9 10 10 10 9 9 9 10 9 9 12 15 17 15 12 8 4 3 3 3 2 2 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan -1 -1 -0 1 2 2 1 1 1 2 3 3 2 3 5 4 1 -0 0 1 1 1 1 1 1 1 2 3 3 4 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 4 3 3 3 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 2 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 5 5 6 6 7 8 8 9 7 5 6 13 21 27 23 15 9 6 5 3 2 3 4 3 4 4 4 4 5 5 6 7 8 8 8 8 8 8 7 6 7 9 12 13 11 10 6 5 8 8 1 3 6 4 6 18 19 9 -5 -8 -0 0 2 6 11 15 9 10 21 22 15 8 10 14 12 9 8 8 8 10 9 7 1 -2 1 5 5 5 5 9 10 7 9 9 9 11 12 7 4 5 5 4 6 13 18 13 8 8 7 6 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 4 5 4 4 5 5 4 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 4 5 5 5 6 6 6 7 10 14 18 23 27 31 28 20 16 12 8 5 4 3 -1 -8 -11 -11 -12 -10 -6 -4 -3 -1 3 6 6 6 6 5 4 5 4 4 4 5 6 6 7 9 8 10 12 10 8 9 9 7 7 7 7 7 8 7 6 6 5 5 4 4 5 4 4 4 4 4 4 4 4 4 3 2 2 1 2 2 3 3 4 5 6 6 7 10 10 2 1 4 4 4 7 9 10 9 8 7 7 8 9 9 9 9 10 8 6 5 6 7 7 7 8 8 8 10 11 10 10 11 13 16 17 15 13 9 4 1 2 3 2 2 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 1 2 2 2 2 2 1 1 2 3 3 2 3 4 5 6 3 2 2 3 3 2 2 2 1 0 1 3 4 3 3 3 3 2 3 4 4 4 4 5 5 4 4 3 3 3 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 7 9 9 9 6 7 15 29 40 43 33 19 10 6 3 1 2 3 4 4 4 4 4 5 5 5 5 6 7 7 8 8 8 8 7 6 8 11 13 12 9 9 5 4 8 8 3 3 4 5 6 14 17 9 1 1 7 7 3 2 3 7 8 15 21 16 9 7 11 12 9 7 7 7 6 5 5 3 -1 -3 2 6 4 2 4 11 15 10 8 9 11 12 10 5 3 5 5 5 8 13 15 10 7 7 7 5 5 4 4 4 5 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 4 3 3 3 3 3 3 4 4 4 5 5 5 4 5 4 4 5 5 4 4 4 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 5 4 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 6 5 5 5 7 8 10 13 15 19 26 30 28 25 18 10 5 3 3 -2 -9 -11 -12 -14 -11 -10 -12 -9 -2 3 5 6 5 4 4 4 5 6 7 8 8 9 12 14 12 7 6 4 4 5 6 7 7 6 7 6 6 7 6 6 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 4 5 7 9 14 8 1 4 3 4 6 8 9 9 8 7 7 7 8 9 9 8 9 8 6 4 5 5 5 5 5 7 7 9 10 10 9 9 11 13 15 17 17 15 10 6 4 4 4 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 2 2 1 2 1 1 3 3 2 2 4 5 5 4 4 4 4 4 4 3 3 1 0 1 3 4 3 3 2 2 2 2 3 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 2 2 3 3 3 2 2 2 2 3 3 2 3 2 2 3 3 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 6 6 6 7 9 10 8 6 14 31 42 46 45 32 18 9 3 -1 -1 1 3 4 5 5 6 5 5 5 5 5 5 6 7 8 9 9 7 7 7 11 13 12 9 8 8 5 2 3 4 4 6 7 8 7 10 12 5 1 4 10 12 7 2 -1 -3 7 18 18 12 7 7 10 8 6 5 5 5 1 -1 -0 -1 -0 5 10 9 2 -1 1 9 13 7 2 5 8 9 6 4 4 5 4 6 7 7 8 10 9 6 6 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 2 3 3 3 4 4 4 3 4 4 4 3 3 3 3 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 8 14 20 23 28 29 23 16 13 11 8 6 7 3 -2 -2 0 -2 -1 4 5 6 6 7 6 4 6 7 12 16 15 16 17 17 15 9 5 4 4 4 4 5 6 6 6 6 6 6 7 6 6 5 5 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 3 2 2 2 2 2 2 3 5 6 7 10 11 6 5 4 4 5 7 8 9 8 8 7 6 7 7 7 7 8 8 7 5 5 5 5 5 5 5 6 7 8 9 8 7 8 10 12 14 17 18 17 14 9 5 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 5 4 2 2 2 2 1 1 1 2 2 2 3 4 4 4 4 5 5 4 3 3 3 2 1 1 3 4 3 3 2 2 1 2 2 2 2 2 2 3 3 2 2 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 2 3 3 2 3 3 3 2 2 2 2 3 3 3 3 3 2 2 3 3 3 3 3 4 3 3 4 4 3 3 4 5 5 5 5 6 6 7 8 10 11 9 10 23 36 30 28 30 23 13 5 -2 -4 -2 2 4 5 5 6 6 6 6 5 5 5 5 5 6 8 9 9 7 8 10 12 11 9 6 5 8 9 3 1 3 5 5 6 8 6 10 12 7 3 3 5 8 9 7 2 -0 10 19 15 10 6 8 8 5 3 3 3 2 -3 -4 -1 -0 3 9 12 8 -1 -2 0 4 6 -0 -6 -1 3 7 6 3 3 2 1 3 2 1 5 14 12 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 3 3 4 6 10 16 23 26 25 24 24 23 25 26 21 12 9 9 9 9 14 18 16 12 15 15 12 15 15 16 19 20 17 14 11 8 5 5 5 4 3 3 4 4 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 6 5 5 5 4 4 3 3 3 3 3 4 4 5 7 8 8 8 6 4 4 4 6 8 9 9 8 7 6 6 6 6 6 7 8 7 6 5 5 5 5 5 5 5 6 6 7 7 6 6 8 9 11 14 15 17 17 12 4 2 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 5 4 3 3 2 1 1 0 1 1 1 2 3 3 3 3 4 5 4 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 1 2 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 2 3 3 3 3 2 3 2 2 2 2 3 3 3 2 2 2 2 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 8 9 11 11 11 15 24 22 11 10 14 13 8 -0 -6 -6 -1 3 4 5 5 5 6 6 6 6 5 5 5 5 6 8 8 8 9 11 13 10 9 8 5 3 7 12 7 4 7 9 6 5 6 2 -1 -0 4 8 6 1 0 6 10 8 8 14 17 14 9 7 8 6 4 -0 -1 2 -0 -1 -0 4 6 3 4 6 3 -4 -2 1 0 -1 -3 1 4 7 8 6 1 -3 -3 -1 2 3 3 11 20 14 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 3 4 4 5 10 15 19 20 22 22 22 25 30 27 21 20 18 20 24 26 27 26 26 26 25 23 20 14 11 12 9 5 4 5 5 5 5 4 3 2 2 3 4 4 4 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 5 4 4 4 6 7 7 8 8 6 4 3 4 5 7 9 10 9 8 7 6 6 6 6 5 6 7 7 6 5 6 6 6 5 5 5 6 6 6 6 7 7 7 8 9 10 10 10 7 4 4 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 7 7 6 6 6 4 3 2 2 1 1 2 3 3 3 3 3 4 5 5 4 3 4 4 3 2 2 3 3 4 4 3 3 3 2 2 2 1 1 1 1 2 2 2 3 3 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 2 2 2 3 3 3 3 3 2 3 3 3 3 3 4 3 3 3 3 3 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 5 6 7 9 10 12 13 15 19 20 13 6 5 7 7 3 -5 -8 -3 2 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 8 10 13 13 12 8 8 8 7 3 5 11 7 5 6 8 9 8 4 -1 -6 -8 1 10 9 4 1 5 10 11 14 16 15 13 9 6 6 3 0 -3 1 3 1 2 7 10 9 0 2 5 2 -1 0 1 1 2 4 6 10 15 10 4 -2 -6 -5 -0 6 8 7 17 23 12 5 5 5 4 3 4 4 4 5 5 5 5 6 5 6 5 5 4 4 4 4 4 5 5 5 4 3 3 2 2 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 6 5 6 5 6 5 5 4 4 4 3 3 3 3 4 6 8 9 9 9 9 13 20 26 27 25 25 25 21 18 19 20 18 18 18 15 12 7 4 4 4 4 4 5 6 6 6 5 3 1 -0 1 3 3 4 4 5 6 6 6 6 6 5 5 4 4 4 4 4 5 4 5 5 6 7 7 7 7 6 6 5 5 5 5 5 5 6 7 7 8 8 6 5 3 3 4 6 7 9 11 10 8 7 6 6 6 5 5 6 6 6 6 6 6 6 5 6 6 6 5 6 7 6 7 8 8 7 7 5 3 1 4 7 8 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 7 7 7 7 7 6 6 5 4 3 3 5 6 5 4 3 3 4 5 5 5 5 5 5 4 4 3 3 4 4 4 3 4 5 4 4 3 3 1 1 1 2 2 3 3 4 3 3 2 1 1 1 0 0 0 1 1 1 1 2 2 2 2 2 2 2 1 1 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 7 9 11 13 18 21 20 17 12 7 5 3 3 -1 -5 -4 2 5 5 5 4 3 5 5 5 6 7 6 6 6 6 6 6 9 14 16 13 9 6 7 9 8 4 4 11 8 4 2 -1 6 12 7 2 -1 -3 1 6 8 8 6 6 8 12 15 14 13 11 7 4 3 1 -3 -3 0 1 1 4 6 7 6 -4 1 5 4 3 -0 2 5 5 6 7 16 21 11 2 -3 -6 -5 2 8 12 10 17 21 10 5 6 5 3 3 4 4 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 3 3 3 2 2 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 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 3 3 3 3 3 4 4 4 4 5 6 8 12 16 16 16 13 9 7 7 6 5 6 4 4 4 3 2 2 3 3 4 5 6 7 8 7 5 1 -1 0 1 2 3 3 4 5 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 6 7 8 8 8 7 6 5 5 5 5 5 5 7 7 7 7 7 7 6 4 3 3 5 7 9 10 11 9 8 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 9 9 8 7 5 3 2 7 10 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 5 4 4 4 4 4 4 5 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 4 4 3 2 2 2 2 3 4 4 4 2 2 2 1 0 0 -0 0 0 1 2 2 2 1 2 2 2 2 2 1 1 2 2 2 2 2 3 2 2 3 3 3 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 3 4 5 5 6 8 9 11 16 25 27 18 10 8 9 4 -2 -1 -1 -0 3 5 7 6 5 4 4 4 5 6 7 7 7 7 7 6 6 7 12 18 17 11 7 4 3 9 10 3 4 10 9 2 0 -2 3 12 13 7 2 1 3 3 4 7 7 6 8 15 17 14 12 8 5 3 2 1 -1 -0 1 0 3 6 -1 -3 2 -3 1 4 4 3 -2 5 8 3 3 10 19 25 16 4 -4 -8 -3 10 16 13 9 15 20 11 5 5 4 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 3 3 3 2 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 4 3 3 3 5 5 5 5 5 5 4 4 4 4 3 4 4 3 3 4 4 4 4 5 5 5 6 6 6 6 4 3 3 3 4 3 3 2 2 2 2 2 3 3 3 4 6 8 10 11 10 8 4 1 1 2 2 2 3 3 4 4 4 5 5 5 5 4 4 4 5 4 5 5 5 5 6 7 8 8 9 8 7 6 6 5 5 5 5 7 8 7 6 6 6 6 5 4 4 4 6 8 10 11 11 9 8 7 7 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 8 10 11 11 12 12 11 12 9 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 7 6 6 7 7 7 7 7 7 7 6 7 7 6 5 4 4 4 3 3 3 4 5 6 6 7 7 6 6 5 5 5 5 5 4 5 5 5 5 5 4 3 3 3 3 4 5 5 5 4 3 2 1 0 -0 0 1 1 1 1 2 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 3 3 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 7 8 10 13 23 33 28 13 -0 2 6 -4 -9 -2 2 4 5 6 6 5 4 4 4 4 4 6 7 8 8 7 6 6 7 9 12 14 13 11 9 5 0 4 11 9 5 8 9 0 0 2 1 8 13 9 3 3 7 3 0 2 4 6 10 16 16 14 11 8 6 3 3 2 -0 0 4 6 9 4 -11 -11 4 5 1 4 5 2 -0 4 2 0 7 11 15 23 22 6 -7 -8 4 18 20 11 7 14 20 12 5 5 5 3 2 3 3 4 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 2 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 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 3 4 3 3 4 4 4 4 4 5 5 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 5 6 6 6 5 5 4 3 3 3 4 3 3 3 3 2 3 3 4 4 4 5 7 11 13 14 12 9 7 5 4 3 4 3 3 3 2 1 1 1 3 4 4 4 4 4 4 3 4 4 5 5 6 6 7 8 8 8 7 7 6 6 5 5 6 6 7 7 7 6 6 5 5 5 4 4 5 6 8 10 10 9 8 8 8 7 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 7 6 6 8 11 14 19 21 20 12 7 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 5 5 6 6 6 6 6 7 7 7 7 6 5 4 4 4 4 3 3 3 4 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 7 6 4 2 1 1 0 0 1 2 2 1 1 1 1 2 2 3 3 3 2 2 2 2 2 2 2 2 1 2 2 2 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 11 14 22 33 35 24 9 -2 5 0 -14 -12 -2 4 5 5 6 5 4 4 3 4 4 5 7 8 9 10 8 6 7 9 10 9 8 7 9 10 11 5 -1 2 7 6 7 4 0 -0 3 1 3 10 10 4 1 5 2 -1 -1 2 7 12 11 8 9 12 12 8 4 2 1 1 4 7 10 9 -1 -15 -8 15 16 0 3 6 0 2 2 -7 -2 11 14 18 27 24 7 -6 -3 10 19 15 7 6 13 21 14 5 5 5 3 3 2 3 4 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 3 2 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 3 3 3 4 4 3 4 4 4 4 5 5 4 3 3 2 2 3 4 4 5 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 4 3 4 4 5 8 13 16 15 12 8 7 6 6 5 5 5 4 3 2 -1 -5 -7 -0 3 3 4 4 4 4 4 3 4 4 4 5 6 7 8 8 8 7 6 6 5 5 4 5 6 7 8 7 6 6 5 5 5 4 4 5 6 7 9 9 9 9 8 8 9 8 7 6 5 5 6 7 8 7 6 6 6 7 7 7 7 6 5 5 7 11 17 20 18 9 5 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 4 5 5 4 4 5 5 5 5 6 7 6 5 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 4 4 5 7 9 9 7 6 4 2 1 1 1 1 2 2 2 1 1 2 2 3 3 3 3 3 3 2 2 2 2 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 9 12 16 24 33 34 25 16 12 7 9 -7 -17 -8 1 4 5 5 4 4 4 4 4 4 5 6 7 9 10 10 8 8 10 12 10 7 5 5 6 7 10 9 4 1 1 2 3 1 2 2 3 1 0 3 6 5 3 -0 3 2 1 3 9 11 5 0 4 11 13 8 4 2 4 5 10 12 10 5 -6 -7 7 24 18 -2 1 6 -2 -1 -3 -4 3 10 14 26 33 23 5 -2 4 13 15 9 4 6 13 21 16 5 5 5 3 3 2 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 3 3 4 4 4 3 4 4 4 4 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 3 2 2 2 3 3 4 4 4 3 3 4 4 4 4 3 3 4 3 3 3 3 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 5 8 14 18 16 9 5 4 5 6 6 6 6 5 4 3 3 -4 -11 -6 3 4 4 4 4 5 4 3 3 3 4 5 6 7 7 7 7 7 6 6 5 4 2 4 6 7 8 8 8 7 6 5 5 5 5 5 5 6 8 9 9 8 8 8 9 9 8 7 5 6 6 7 8 8 7 6 6 6 7 7 7 7 6 5 5 6 10 11 9 6 5 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 5 5 5 6 5 5 5 5 5 4 4 3 2 2 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 9 9 8 5 4 2 2 1 1 2 1 1 1 1 2 3 3 4 4 4 3 3 2 2 2 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 7 10 14 19 25 30 32 23 12 10 16 10 -9 -16 -9 0 3 4 4 4 4 4 4 4 4 4 5 6 7 9 10 11 11 13 15 12 9 6 6 7 6 5 5 6 8 9 6 2 1 2 4 5 5 3 3 1 1 2 2 -1 2 7 6 7 10 7 2 2 5 8 8 5 5 7 8 9 11 10 4 -2 -5 4 17 22 10 -3 2 5 -2 -5 -6 6 17 12 14 30 32 16 2 1 10 15 13 6 4 6 13 21 16 6 5 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 3 2 1 1 1 2 3 4 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 3 2 2 2 2 3 3 4 4 5 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 5 8 13 18 16 9 3 2 3 5 6 7 7 6 5 5 6 4 -2 -4 2 4 4 5 5 6 5 4 3 3 4 4 6 6 5 4 6 7 7 6 7 7 2 1 5 7 7 8 8 8 7 6 5 5 5 5 5 6 7 8 8 8 7 8 8 9 9 8 6 6 6 6 6 7 7 7 7 7 6 7 8 10 10 8 6 5 6 7 6 5 5 6 6 7 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 6 6 6 6 5 5 4 4 3 3 2 2 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 7 9 11 12 9 7 5 5 3 2 2 2 2 1 1 2 2 3 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 3 2 2 3 2 2 2 2 3 2 2 3 2 2 3 3 3 4 4 4 4 4 4 4 4 5 4 4 5 8 11 16 22 25 25 24 21 13 6 9 12 -4 -26 -15 -1 3 3 4 4 4 4 4 4 4 4 5 5 6 7 8 10 13 16 16 13 9 7 7 7 9 8 5 6 6 3 4 6 5 3 5 7 8 7 8 9 5 3 2 -0 -1 1 7 9 9 10 5 1 5 8 6 4 6 10 12 10 9 9 5 -0 -4 -3 6 15 13 5 -4 0 4 2 -2 -3 4 13 17 30 36 25 9 3 7 13 14 10 5 5 8 15 20 14 6 6 5 4 4 3 3 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 4 4 4 3 3 2 2 3 4 4 3 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 3 1 1 1 1 1 1 2 3 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 3 3 2 2 2 3 3 4 5 5 6 6 6 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 7 11 15 15 9 3 0 2 5 6 7 7 6 5 6 7 7 3 1 3 4 5 6 6 7 6 5 4 3 4 4 6 7 7 1 2 6 6 6 7 9 7 2 4 6 7 8 8 8 7 7 5 5 5 5 6 6 6 7 7 7 7 7 7 8 8 8 7 6 5 5 5 5 6 7 8 8 7 7 9 13 16 14 9 6 5 7 7 5 5 6 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 3 2 3 4 3 4 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 6 7 10 13 12 9 8 8 8 7 4 2 2 2 1 2 2 3 3 4 4 4 4 3 3 2 3 3 3 4 4 4 3 3 2 3 3 3 4 4 4 5 4 4 4 3 2 2 3 2 2 3 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 5 5 5 7 9 13 18 22 23 21 16 14 14 9 5 7 3 -10 -15 -5 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 8 11 16 18 15 9 8 8 9 4 6 8 4 6 9 5 1 1 3 3 6 8 8 10 14 13 8 7 7 4 -0 5 12 12 10 7 4 3 6 10 10 9 12 17 14 7 4 4 1 1 0 -0 5 9 7 4 -1 1 4 6 1 -3 -3 3 23 41 32 14 5 7 11 13 10 6 4 5 8 15 20 12 5 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 2 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 3 2 1 1 1 2 2 2 2 2 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 3 4 4 5 7 6 6 5 5 4 3 2 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 8 11 13 9 4 2 3 5 6 5 4 4 3 4 10 12 6 2 4 5 6 6 8 8 8 6 5 4 4 4 5 8 10 6 2 5 5 5 6 8 9 6 5 6 7 7 7 7 8 7 7 5 5 5 6 6 6 6 7 7 7 7 6 6 7 8 8 7 6 5 5 4 5 7 7 8 7 7 10 16 21 20 14 7 4 5 7 7 6 5 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 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 4 3 3 4 5 6 6 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 5 4 4 3 3 4 3 6 10 13 12 9 8 10 12 11 7 4 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 3 4 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 7 12 13 18 21 19 15 12 9 12 14 8 2 3 0 -2 0 2 4 3 4 4 4 4 4 5 5 6 6 5 5 6 8 11 17 22 20 13 7 4 4 6 3 2 4 3 5 7 6 4 3 3 3 7 6 5 9 15 13 9 9 11 12 11 13 17 14 8 3 3 5 6 10 14 13 15 18 13 4 2 3 3 2 -0 3 7 6 5 6 6 5 2 5 -2 -2 2 10 28 32 17 6 3 6 9 8 6 4 4 5 8 17 21 12 5 6 6 5 5 5 4 3 4 3 3 4 4 5 4 3 4 4 4 5 5 6 5 4 4 3 2 3 4 4 4 4 4 4 4 4 3 3 3 3 4 5 4 4 4 4 4 4 4 5 4 4 3 3 2 2 2 3 3 4 3 2 2 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 3 2 2 3 3 4 4 5 5 5 5 5 5 4 3 3 2 2 3 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 4 5 5 6 7 8 7 5 3 3 4 5 4 1 -1 -1 -1 4 11 9 5 4 5 5 6 8 9 8 7 5 4 4 4 4 6 9 10 6 4 5 4 4 5 6 6 6 6 6 6 7 7 8 8 7 6 5 5 5 5 6 6 6 6 7 7 6 6 7 7 8 8 7 6 5 5 5 6 7 8 7 7 9 15 20 20 15 7 3 4 5 7 6 5 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 4 4 4 5 5 4 5 5 5 5 5 6 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 9 8 7 5 4 3 2 2 5 9 12 9 7 7 11 14 14 9 5 3 2 2 2 2 2 2 2 3 2 2 2 1 1 2 2 3 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 9 14 15 16 15 10 8 7 10 16 16 5 -3 -0 2 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 6 9 13 17 24 26 19 10 5 1 0 3 3 3 4 3 3 4 5 4 5 4 6 9 4 1 6 11 10 9 11 14 18 20 20 17 11 3 -1 0 6 8 8 10 9 11 14 10 3 2 6 8 2 -1 6 10 7 6 7 8 6 3 3 -6 -2 15 21 24 18 6 -1 -2 2 4 3 4 5 5 6 9 17 19 10 5 6 6 5 5 5 5 4 3 3 3 3 4 4 3 3 4 4 5 5 5 6 6 5 3 3 2 3 4 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 5 4 3 3 4 4 3 3 3 2 2 3 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 3 2 2 3 3 4 4 5 4 4 4 4 4 4 3 2 2 2 2 3 3 3 3 2 1 1 1 2 2 2 2 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 5 4 3 4 5 5 2 -2 -2 0 -0 1 6 6 5 4 4 6 7 9 9 8 6 4 4 4 4 3 6 7 5 4 4 4 4 4 5 6 6 6 6 6 7 8 8 8 8 7 5 5 5 5 5 5 6 7 6 6 7 7 6 6 7 8 8 8 7 6 6 6 7 7 7 7 8 12 15 13 10 8 4 3 4 6 6 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 4 4 3 3 3 3 4 4 4 4 5 6 6 7 6 5 5 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 6 6 6 7 9 10 9 8 6 5 3 4 7 11 11 8 5 6 10 13 12 9 5 4 4 4 3 2 2 2 3 3 3 2 2 1 1 2 1 2 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 7 12 16 14 11 8 6 6 8 13 18 14 -1 -7 -2 3 4 4 4 4 5 4 4 4 4 5 5 6 7 6 5 8 14 19 21 23 21 13 6 4 3 3 5 5 4 6 5 3 6 10 8 4 4 10 8 1 1 4 5 5 6 9 13 19 21 20 16 7 -2 -2 2 5 10 10 6 4 7 10 9 6 6 5 -1 1 6 7 8 7 6 4 3 4 5 4 -5 -2 19 29 22 10 -1 -8 -7 -1 1 3 7 8 7 7 8 13 16 11 5 6 6 5 6 6 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 3 3 4 4 3 3 3 3 2 3 3 5 6 5 4 3 3 3 2 2 3 3 2 3 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 4 2 3 3 4 4 4 4 4 4 3 3 4 4 3 2 1 1 1 2 3 3 2 1 -0 1 2 2 3 2 3 3 3 3 3 3 4 4 5 5 5 6 6 5 6 5 6 5 5 4 4 4 5 8 9 6 4 4 2 -1 3 6 5 4 4 5 7 8 9 8 7 5 4 4 4 3 3 3 3 3 3 3 4 5 6 7 7 6 5 6 6 7 8 9 9 8 6 5 5 5 5 5 6 7 6 6 7 7 7 6 6 6 8 9 9 8 7 6 6 7 6 7 9 10 9 8 7 6 5 5 6 5 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 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 6 7 6 6 5 4 4 3 2 2 2 3 3 4 3 4 4 4 4 4 3 3 3 3 4 5 5 5 6 7 9 10 9 8 7 6 6 9 12 11 7 5 5 7 10 9 7 6 6 5 5 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 5 6 8 12 17 17 11 7 6 7 7 9 13 16 5 -9 -10 -2 2 3 4 4 4 5 4 5 5 5 5 5 5 6 6 6 11 19 20 18 17 15 8 4 3 3 5 6 7 6 6 5 4 5 7 6 5 8 18 7 1 5 6 2 2 5 7 11 14 13 16 14 4 -2 2 6 5 8 12 9 5 7 8 7 10 15 10 2 5 8 6 6 8 5 2 2 4 6 1 -1 5 19 29 16 1 -8 -9 -3 1 3 8 11 9 8 8 7 10 17 15 7 6 6 6 5 5 5 5 4 4 3 3 3 3 3 3 4 3 4 5 5 5 5 4 3 3 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 2 2 3 5 6 6 5 4 4 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 2 2 1 1 2 2 2 2 1 1 2 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 4 4 4 5 9 14 13 8 7 6 3 3 6 5 4 4 4 5 7 9 8 7 6 5 5 4 3 3 4 4 3 4 4 4 6 7 8 7 5 5 5 5 6 7 8 9 9 8 7 6 5 4 4 5 5 5 6 6 6 6 6 5 6 6 8 9 9 9 7 6 6 6 7 9 9 8 7 7 7 7 7 8 8 7 6 5 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 6 5 5 5 6 6 6 5 5 4 4 4 4 4 5 5 6 7 7 5 4 3 2 1 2 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 5 5 5 5 7 8 8 8 8 7 8 12 14 11 7 5 5 5 6 7 7 7 7 7 5 4 4 3 4 4 4 4 5 5 4 5 6 5 5 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 8 14 17 16 11 7 6 6 7 7 9 11 13 -1 -13 -8 -1 2 3 4 4 5 5 5 6 6 6 6 5 5 5 6 8 15 20 18 15 14 12 10 6 4 2 2 4 10 13 8 0 -1 -0 -1 3 9 13 19 6 2 7 7 2 4 8 8 10 8 5 9 8 2 3 8 6 4 6 8 7 7 7 7 8 13 20 20 18 13 8 8 10 9 5 5 5 5 4 -6 3 14 24 25 4 -12 -7 5 12 12 12 15 13 9 8 7 6 10 18 17 8 5 6 6 6 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 2 2 3 4 6 7 6 5 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 4 4 4 3 3 4 4 4 4 3 2 2 2 2 3 3 3 2 1 1 2 3 3 3 2 3 3 4 4 4 4 3 3 3 3 2 3 3 4 4 4 4 4 5 6 6 6 5 5 5 5 4 4 4 8 14 17 12 7 9 4 2 5 5 5 4 3 5 6 8 8 7 6 5 5 4 4 4 5 4 3 4 4 4 5 6 6 6 4 4 4 4 4 5 7 8 9 9 8 7 6 5 4 4 5 6 5 5 6 7 7 6 6 6 6 7 9 9 8 7 7 6 6 7 8 9 8 8 9 10 9 8 10 11 9 8 6 6 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 11 10 8 8 8 9 8 8 8 8 7 6 5 4 3 4 4 6 6 6 6 5 3 2 1 2 2 2 3 3 3 3 3 3 3 3 2 2 2 3 4 5 5 5 5 5 6 7 7 7 8 10 13 14 10 5 4 4 4 5 6 7 7 6 5 4 4 4 4 4 4 4 5 5 5 5 6 7 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 8 13 15 10 6 5 6 6 6 7 8 10 10 -1 -10 -5 1 3 3 4 5 5 6 6 7 7 6 6 5 6 6 8 11 18 19 16 14 12 11 13 9 6 3 1 1 7 13 10 3 -2 -2 1 5 6 15 9 2 4 7 7 5 9 9 7 7 6 5 6 3 3 9 10 4 4 7 5 3 6 6 7 10 11 15 20 21 16 11 12 13 8 4 6 9 7 -4 -8 10 23 32 20 -8 -16 4 24 33 29 22 18 13 9 8 6 6 10 17 17 8 5 6 7 6 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 5 6 7 6 5 4 4 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 5 4 4 4 4 3 3 4 3 3 3 3 2 2 2 2 3 3 2 1 1 2 3 4 4 4 4 5 5 4 4 3 2 1 0 -1 -1 -0 0 2 3 3 3 4 5 6 6 6 6 5 5 4 4 4 4 5 11 17 14 8 6 5 3 4 5 5 5 4 4 5 7 8 8 7 5 5 5 6 6 5 4 4 4 4 5 4 4 4 4 4 3 4 3 4 4 6 8 9 10 9 8 7 6 5 4 4 5 5 5 6 7 7 7 7 6 6 6 7 7 8 7 7 6 5 6 7 8 8 8 10 11 10 10 11 12 11 10 9 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 14 14 14 13 12 11 10 10 10 11 12 11 9 7 6 5 4 4 4 5 6 6 5 4 3 2 2 2 2 3 3 3 3 3 2 2 3 2 2 2 3 4 6 6 5 5 5 5 6 7 7 7 9 12 12 8 5 3 3 3 4 5 5 5 4 3 3 3 3 4 4 4 4 5 5 5 6 7 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 11 13 8 6 6 6 5 7 8 9 11 8 1 -4 -1 2 3 4 5 5 6 6 6 7 7 7 7 7 8 10 13 17 20 17 13 12 9 10 13 6 2 4 3 2 4 6 5 2 -1 -1 4 2 3 6 -2 2 8 8 7 9 14 11 8 7 6 8 9 5 5 9 9 3 5 8 5 4 5 7 9 10 9 10 12 9 7 11 15 12 5 3 6 8 4 -6 -4 16 33 33 12 -11 -6 12 27 38 36 24 15 10 9 9 7 6 8 15 18 10 5 6 7 7 6 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 3 4 4 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 3 5 6 7 6 6 6 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 4 4 4 3 3 3 4 3 3 2 2 3 2 2 2 3 3 2 1 1 2 4 4 5 5 5 5 4 3 2 2 1 1 -2 -7 -10 -8 -8 -6 -0 3 3 4 4 5 6 6 5 5 5 4 4 4 4 5 9 15 15 9 3 5 5 4 5 5 5 4 4 5 6 7 8 7 6 5 6 6 6 5 5 5 5 5 5 4 4 3 2 2 3 4 4 4 4 5 7 9 10 10 8 7 7 6 5 4 4 5 5 6 6 6 7 7 7 6 5 5 6 7 6 6 6 5 5 6 5 6 8 8 9 9 9 11 11 10 10 10 10 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 14 15 14 12 10 10 10 11 13 14 15 13 11 9 7 5 5 4 4 5 5 5 5 5 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 3 4 5 5 5 5 5 5 5 6 7 7 8 10 10 6 4 3 3 3 3 3 3 3 2 2 2 2 2 3 4 4 4 4 5 5 6 7 7 7 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 10 12 10 7 6 5 5 8 10 10 9 5 1 0 3 4 4 5 5 6 6 6 6 7 7 9 11 12 13 15 18 20 18 13 8 8 8 12 11 4 0 5 4 3 5 3 -0 -2 -1 3 7 9 9 -0 -5 1 4 5 5 10 14 10 8 10 7 4 4 5 6 7 6 4 5 6 6 6 6 8 8 8 11 10 10 5 0 3 8 7 4 3 6 7 0 -5 1 21 37 24 2 -5 4 13 18 25 25 16 9 8 8 8 7 6 8 17 21 11 4 5 6 7 6 5 4 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 3 4 5 5 5 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 3 4 5 6 7 7 6 5 5 4 4 3 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 2 1 2 3 4 5 6 6 5 4 2 1 1 2 2 2 2 -4 -10 -11 -11 -12 -9 -2 2 4 4 5 6 6 6 5 4 4 4 4 5 6 8 13 14 8 5 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 5 4 4 3 3 2 2 3 3 4 4 4 4 6 8 10 10 9 7 6 5 5 5 5 5 5 5 5 5 6 7 8 6 5 5 5 6 6 6 6 6 6 5 5 5 6 7 8 7 7 10 11 10 9 9 10 11 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 10 12 12 10 9 9 10 11 13 15 16 15 13 12 10 9 8 7 6 5 6 6 6 6 5 4 4 5 5 5 6 7 6 5 4 3 3 3 3 3 4 5 5 5 5 4 4 4 5 6 6 7 8 7 6 5 4 4 3 2 3 2 2 1 2 2 2 3 3 3 4 4 5 5 6 7 7 6 5 5 5 5 5 6 5 5 5 5 4 4 4 3 3 4 4 3 4 3 4 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 7 13 13 7 5 5 7 9 10 9 7 2 1 3 4 5 5 5 6 6 6 6 6 6 9 14 16 15 16 17 16 14 11 8 7 8 9 12 12 8 6 7 7 6 5 1 -2 -2 1 5 7 8 7 5 6 8 3 0 1 7 12 10 4 8 9 3 -1 2 5 4 3 4 6 7 7 10 11 10 8 9 11 9 10 10 5 4 6 3 2 3 6 5 1 0 8 24 30 12 -1 2 11 14 14 16 14 9 7 7 7 6 5 5 10 17 13 3 4 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 4 3 3 4 5 5 5 5 4 4 4 5 5 5 5 5 5 6 5 5 4 4 5 4 2 1 1 2 3 3 4 4 4 4 5 7 9 9 7 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 2 2 2 2 3 3 3 3 3 1 1 2 3 4 4 6 7 6 3 0 -0 1 3 3 3 6 5 0 -2 -2 -7 -9 -4 2 4 3 4 5 6 6 6 4 4 4 4 6 7 7 9 9 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 7 6 6 5 4 3 4 4 4 3 3 4 4 4 4 5 6 8 10 11 10 8 6 6 5 5 5 5 4 5 5 6 6 6 7 6 5 5 5 5 5 6 7 6 6 6 6 5 5 6 6 6 7 8 9 9 9 8 9 10 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 8 10 10 9 9 9 10 11 12 13 13 14 13 12 12 11 11 11 10 9 9 8 8 6 6 6 6 6 6 6 7 9 10 9 6 5 4 4 4 5 5 5 5 5 5 4 4 3 3 4 6 6 7 7 7 7 5 4 4 3 2 2 1 2 2 2 3 3 3 3 4 5 5 6 7 7 7 5 4 4 4 5 5 4 4 5 5 4 4 3 3 4 4 5 5 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 8 16 15 6 5 6 9 10 9 9 6 2 2 4 5 5 5 5 5 5 6 6 5 7 14 20 17 14 13 13 10 7 6 8 11 12 10 9 13 15 11 7 7 9 5 -0 -2 -1 2 4 4 4 2 4 11 15 9 2 1 5 11 11 3 3 7 3 0 3 3 3 4 5 7 9 10 13 15 15 12 10 8 5 6 10 13 16 9 2 2 5 6 4 2 3 13 25 21 6 2 9 15 15 13 13 10 7 7 7 7 6 4 5 9 9 2 0 7 10 7 6 6 6 5 4 3 3 4 4 5 4 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 5 6 5 5 5 5 5 5 2 1 1 1 2 4 6 6 6 5 5 6 9 11 11 8 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 5 5 5 6 5 4 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 3 3 3 4 5 6 7 3 -3 -4 -1 1 2 3 4 6 6 6 5 1 -3 -3 2 4 4 4 4 5 6 6 5 4 4 4 5 7 8 7 7 5 5 5 4 5 5 4 4 4 5 6 6 5 6 6 6 6 6 5 5 6 7 6 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 8 9 11 10 9 7 6 6 5 5 5 4 4 5 6 5 5 6 6 7 6 4 4 5 6 7 8 7 7 6 6 5 6 6 6 6 7 7 8 8 8 9 10 11 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 9 9 8 8 9 10 10 11 10 11 11 11 11 11 12 13 14 14 13 13 12 10 9 8 8 8 7 6 7 7 9 11 11 9 8 6 5 5 6 6 6 5 5 5 4 4 3 2 3 5 7 8 8 9 7 6 5 4 3 2 2 1 2 2 3 3 4 4 4 4 4 5 6 7 7 6 5 4 3 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 6 4 3 3 3 4 4 5 5 5 6 6 5 5 6 6 6 6 6 6 6 5 5 5 6 9 15 12 6 6 9 12 14 12 9 4 3 3 4 4 4 5 5 5 5 5 5 6 11 20 18 12 10 10 8 5 4 7 12 15 15 14 10 13 15 8 0 4 9 6 1 -1 -0 2 3 6 7 1 1 9 12 9 4 4 9 11 6 1 1 3 1 3 6 6 6 8 7 7 9 11 14 16 16 12 6 3 2 4 7 16 21 11 5 11 16 12 7 8 13 19 20 13 4 6 15 18 14 11 10 7 7 8 8 7 5 3 4 7 6 3 5 10 16 12 6 6 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 6 6 6 6 5 4 5 4 5 6 6 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 2 0 1 2 4 6 7 7 6 6 6 6 8 12 12 8 4 3 4 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 6 5 6 6 5 4 4 3 3 3 3 3 2 2 2 3 3 4 4 4 3 3 3 3 3 3 4 4 6 7 4 -4 -13 -15 -12 -6 -1 2 4 5 6 6 4 -2 -7 -3 4 5 5 4 5 6 6 6 5 4 4 5 7 8 8 7 6 5 4 5 5 4 4 4 4 4 4 5 5 6 8 8 7 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 8 8 7 6 5 5 5 4 4 5 5 6 5 6 7 6 5 4 5 6 7 8 9 8 7 6 5 5 5 5 6 7 7 8 8 9 9 9 10 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 6 7 7 8 8 8 9 10 10 10 11 12 12 14 15 15 16 16 14 12 11 10 9 9 7 6 6 7 9 11 10 8 7 6 6 6 6 6 6 5 5 5 5 4 3 4 5 8 9 10 10 8 6 5 4 3 3 2 2 3 3 4 4 4 4 4 4 5 5 6 7 6 5 4 4 4 4 4 4 5 5 4 4 4 5 6 7 7 7 8 9 7 5 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 9 13 10 6 7 11 15 19 17 11 2 1 3 4 4 4 4 5 5 5 5 5 9 18 20 13 9 9 9 7 4 6 11 14 14 13 14 14 15 11 0 -4 4 8 6 3 1 4 3 3 9 4 -2 3 9 7 6 4 7 13 12 2 0 1 3 4 4 5 7 7 8 7 6 7 9 12 14 12 7 1 -2 -2 1 2 5 13 14 16 25 22 13 9 15 26 24 15 6 3 8 17 17 11 8 8 7 7 7 8 7 4 2 4 6 5 5 7 11 19 15 6 5 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 6 5 5 4 3 3 4 4 4 4 5 5 5 5 4 4 5 5 5 3 1 1 2 3 5 7 7 6 5 5 4 5 6 10 11 8 4 3 3 4 5 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 5 7 5 -3 -19 -32 -29 -18 -7 2 5 5 5 5 5 2 -7 -10 0 6 7 6 6 5 6 6 6 5 4 4 5 7 9 8 7 6 6 5 5 4 4 4 5 4 3 3 5 6 7 7 7 7 6 6 6 6 5 5 4 5 5 4 4 4 4 4 4 5 5 5 6 6 7 8 8 8 8 9 9 9 7 6 5 5 5 4 4 5 6 6 6 6 7 6 5 4 5 6 7 9 9 8 7 6 5 5 6 6 7 7 7 8 8 9 9 9 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 4 3 2 3 4 4 4 5 6 6 8 9 10 11 11 11 11 12 14 17 18 17 14 13 13 12 11 9 7 6 7 8 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 4 5 6 8 9 11 12 11 8 5 4 3 3 3 4 4 4 4 4 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 6 7 7 8 8 8 9 9 7 5 3 3 3 4 4 4 5 6 6 6 6 6 6 7 7 6 6 6 5 6 5 6 6 10 13 10 7 9 12 16 18 16 6 0 1 3 3 3 3 4 5 5 4 4 7 14 18 15 10 9 7 7 7 7 11 14 14 13 10 7 10 13 9 -1 2 7 8 6 4 5 6 6 7 14 8 -0 5 6 2 3 4 9 17 15 6 2 4 6 7 4 4 5 5 5 6 6 6 8 9 10 8 3 0 -0 -2 -2 -1 -4 2 12 21 27 19 10 7 12 22 21 9 0 1 10 17 14 9 7 8 8 7 7 8 6 2 2 5 6 5 5 7 12 18 16 7 5 5 5 5 6 5 5 5 5 4 4 3 3 4 5 5 5 5 5 5 5 4 5 6 5 4 4 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 4 2 1 1 3 5 6 7 6 5 4 4 3 4 4 7 9 8 5 4 3 4 5 5 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 6 5 4 3 3 3 4 4 3 3 4 4 4 4 4 5 4 4 4 4 3 3 3 2 3 5 6 5 -1 -14 -26 -24 -15 -5 4 7 5 5 4 6 5 -1 -7 -0 6 8 8 7 6 6 7 6 5 4 4 5 6 7 8 7 7 7 6 7 5 3 3 5 5 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 7 7 6 7 7 8 9 9 8 7 6 5 5 5 5 5 5 6 6 6 6 7 7 5 5 5 6 7 9 9 8 6 5 5 6 6 6 7 7 7 7 7 9 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 2 2 2 3 2 2 3 3 4 5 5 7 8 9 10 10 11 13 16 18 18 15 14 15 15 14 11 8 7 7 7 7 7 8 8 7 6 6 6 6 7 6 6 6 6 6 6 6 6 6 8 11 12 12 9 7 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 7 5 4 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 5 5 6 6 6 6 8 13 17 13 9 10 11 14 13 8 -0 -1 1 2 3 3 3 4 4 5 5 5 7 13 15 10 7 6 6 7 8 10 14 17 18 18 11 2 4 9 10 5 4 6 8 6 4 6 6 8 12 13 8 7 9 5 1 1 4 11 18 18 12 8 9 6 4 3 3 4 3 4 5 6 6 6 8 9 7 5 5 7 4 0 -1 -4 -1 7 17 20 13 9 10 12 16 13 1 -6 -0 12 17 14 9 7 10 10 8 7 7 4 1 3 6 6 4 5 7 12 19 18 9 4 5 5 6 6 6 6 6 5 4 4 3 3 4 5 5 5 5 5 5 5 5 6 6 4 4 3 3 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 2 1 2 4 5 7 6 6 4 3 3 3 2 2 4 6 7 7 6 5 5 6 5 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 6 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 4 3 -2 -5 -4 -1 5 7 7 5 5 6 7 8 3 -5 -2 6 8 9 9 8 7 7 6 5 4 4 4 5 6 6 7 6 7 7 8 9 5 2 4 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 6 7 7 8 9 9 8 7 6 6 6 6 5 5 5 5 6 6 6 7 7 6 5 5 6 7 8 7 7 6 6 5 6 6 6 5 5 5 6 8 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 3 2 3 3 2 2 2 2 3 4 6 8 9 10 11 14 16 17 15 14 15 15 14 12 10 9 8 7 6 7 7 8 8 7 6 6 6 7 6 6 6 6 6 6 6 5 5 7 10 12 12 10 7 4 3 4 4 4 5 4 4 4 4 5 5 5 5 5 5 6 5 6 6 6 6 6 6 5 5 6 7 7 7 7 7 7 6 7 7 7 6 5 4 4 4 3 3 4 4 5 5 6 6 6 6 6 7 6 5 5 6 6 7 10 15 22 20 12 10 9 8 10 8 2 -1 0 1 2 2 3 3 4 4 4 5 5 7 11 10 8 6 5 6 8 8 9 12 16 21 21 11 2 5 12 14 5 -0 2 4 5 4 5 5 8 11 6 6 14 12 6 2 2 6 12 16 17 16 12 9 5 1 2 5 3 3 3 3 7 6 5 6 8 10 10 10 9 9 10 5 -2 0 9 14 10 7 10 13 14 13 4 -6 -6 4 13 15 13 8 8 11 11 8 7 7 4 3 5 7 6 4 5 7 14 23 19 8 4 5 6 7 7 7 6 6 5 4 4 4 5 5 5 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 5 4 2 0 1 4 6 7 7 5 4 3 3 2 1 1 2 5 7 8 9 9 8 7 6 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 7 8 8 6 5 5 8 9 9 6 -7 -8 4 7 8 9 8 8 7 7 6 5 4 4 4 5 5 6 6 6 6 7 9 9 5 4 5 5 6 6 7 6 4 4 4 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 6 6 6 7 8 9 9 8 8 7 6 6 6 5 5 6 6 5 5 6 7 8 6 5 5 6 7 7 6 6 6 5 5 5 5 5 5 4 5 6 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 2 4 6 8 9 9 11 14 15 14 12 13 13 13 12 12 12 11 10 9 8 8 8 8 8 7 8 8 7 7 6 6 6 6 6 6 5 5 6 8 11 12 10 7 5 3 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 4 4 5 6 5 5 6 6 6 5 5 5 7 10 14 19 24 25 19 12 9 6 4 7 3 -1 -0 2 2 2 3 3 3 4 4 4 5 5 6 7 8 9 8 7 9 9 5 4 7 10 14 18 12 8 11 15 9 2 3 4 3 4 4 5 6 7 6 1 6 16 9 7 6 6 10 14 13 13 13 10 5 2 -0 3 6 4 4 4 5 7 6 8 10 12 13 13 9 6 8 15 9 0 2 9 12 8 5 7 11 10 8 -0 -4 5 14 14 12 10 8 9 10 9 7 7 8 6 5 6 6 5 4 4 9 20 24 15 5 4 5 6 7 7 7 6 6 5 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 3 4 4 5 4 4 4 5 5 5 5 5 4 4 5 6 5 3 2 1 2 4 6 6 6 5 4 4 3 3 1 1 2 4 7 9 11 12 10 8 7 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 8 7 6 5 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 7 9 10 8 5 4 6 9 10 8 7 0 -3 2 6 6 7 7 7 7 7 7 6 5 5 4 4 5 5 5 5 5 5 7 6 2 4 5 5 7 7 8 7 5 4 5 5 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 4 4 5 6 6 7 7 6 5 5 6 7 9 9 10 10 9 8 6 6 6 6 6 6 5 5 6 7 8 8 6 5 5 5 6 6 7 6 6 5 5 4 5 5 4 5 5 5 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 3 3 4 5 6 7 8 11 14 13 10 10 12 13 14 14 14 14 14 14 12 11 10 9 9 8 9 9 9 8 6 6 6 6 6 6 6 5 6 8 10 10 9 7 5 4 4 5 5 4 4 3 4 4 4 5 5 4 4 4 5 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 3 3 4 5 5 5 5 6 6 6 5 5 5 7 12 19 23 23 21 19 18 16 14 9 7 5 0 -1 0 2 3 2 3 4 4 3 4 4 5 6 6 7 10 12 11 8 12 13 5 0 3 4 6 10 14 19 14 9 5 7 6 7 6 4 3 5 6 5 2 1 7 12 11 10 11 12 15 16 11 7 7 7 5 1 -2 -0 2 3 4 7 10 7 5 13 18 18 14 8 3 -0 -1 -2 -4 3 10 6 8 12 13 10 8 4 4 1 9 24 24 15 10 9 8 8 8 8 8 9 9 7 6 6 5 4 4 5 14 24 20 8 3 4 5 7 8 8 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 6 6 5 2 1 1 2 4 6 5 5 5 5 5 4 3 3 2 3 4 6 8 10 10 10 8 6 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 8 7 6 5 5 6 7 6 5 5 4 5 5 6 6 6 5 5 6 6 6 7 6 7 7 7 7 6 7 7 7 7 8 10 12 8 4 4 6 9 9 7 5 -0 -2 3 6 6 6 7 7 7 7 7 6 6 6 5 4 5 5 5 5 5 6 7 6 -2 -0 5 6 7 8 8 7 6 5 5 5 5 6 6 7 6 6 6 5 5 4 5 5 5 5 4 5 5 5 5 6 6 6 5 5 5 4 5 7 9 10 11 11 9 8 6 6 6 6 6 6 6 6 6 7 8 8 7 5 4 5 5 6 7 6 6 5 4 4 5 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 4 4 4 4 4 4 3 4 3 4 4 4 3 3 3 4 4 5 7 9 9 9 9 10 12 12 12 12 13 15 17 17 15 14 11 9 9 9 10 11 10 8 7 7 7 7 7 6 6 6 7 9 9 8 6 5 4 4 5 5 4 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 6 8 15 24 27 24 18 11 7 13 22 24 19 13 5 1 0 2 2 2 3 3 3 3 3 4 4 6 7 8 10 14 16 11 8 12 13 6 1 1 3 3 6 15 22 10 2 7 8 7 10 8 4 3 4 6 5 4 8 9 5 10 11 15 18 22 21 11 4 4 7 8 6 2 -1 -2 -2 0 8 11 3 6 15 18 17 9 0 -4 -3 -1 -4 -7 4 12 7 6 11 16 16 9 6 3 9 22 31 24 13 8 8 9 8 6 7 9 10 8 6 5 4 4 4 5 9 19 24 15 4 3 4 5 6 8 8 8 7 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 7 6 4 2 1 1 3 5 6 5 5 4 5 5 5 4 4 5 5 6 6 6 7 7 7 7 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 4 4 5 5 6 6 7 7 7 8 7 7 7 7 8 8 8 7 8 8 9 9 8 8 11 11 7 5 5 7 8 7 6 5 -2 -8 0 6 7 7 7 7 8 8 8 6 4 4 3 2 2 3 4 5 5 6 7 10 4 -1 5 6 7 8 8 7 6 5 4 4 5 5 6 7 7 7 6 6 5 5 5 6 5 5 5 5 5 5 6 6 5 5 6 5 5 4 4 6 7 9 10 11 11 10 8 7 7 7 6 6 6 6 6 7 7 8 8 6 5 4 4 5 6 6 7 6 5 5 5 5 5 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 6 6 6 5 5 4 5 5 4 5 5 5 6 5 4 4 3 3 2 3 5 6 6 6 7 7 7 6 6 8 11 15 17 17 15 13 11 9 10 11 12 12 10 10 9 10 9 8 7 7 6 7 8 8 7 5 4 4 4 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 6 6 5 5 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 5 5 6 9 10 13 20 29 30 24 19 16 10 4 10 22 25 20 12 4 1 2 2 2 2 3 3 3 3 3 3 5 8 11 14 16 17 15 9 6 9 10 7 3 1 3 6 9 12 10 4 5 11 6 6 6 5 3 4 5 5 4 7 9 5 -1 0 5 9 17 23 24 17 8 4 5 9 10 8 3 -1 -3 -1 4 6 1 6 11 15 13 2 -4 -3 1 6 7 7 8 4 3 6 7 6 10 10 9 7 16 24 23 16 10 8 8 8 7 6 7 9 10 7 4 2 3 4 4 7 12 22 22 11 2 3 5 5 7 8 8 7 7 6 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 3 2 1 1 3 5 6 5 4 4 4 5 5 5 6 7 7 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 7 7 7 7 7 8 8 7 7 7 6 6 5 5 4 4 5 5 6 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 11 11 7 6 7 8 8 6 6 7 1 -7 -4 4 7 7 8 8 8 9 11 10 7 5 3 2 0 -1 1 5 6 7 7 8 8 4 6 7 7 8 8 7 5 4 4 4 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 6 8 10 11 12 11 9 9 9 7 6 5 5 6 6 6 7 7 7 7 6 5 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 7 7 6 5 4 3 3 2 3 4 4 5 5 4 4 3 3 3 6 9 13 13 13 12 11 10 10 10 11 12 12 12 12 12 12 10 9 8 7 7 7 7 6 4 4 4 5 6 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 4 4 3 3 4 4 4 5 10 16 20 21 25 29 27 20 14 15 19 20 15 13 14 13 10 5 1 1 1 2 2 3 3 3 3 3 4 4 6 13 18 20 18 14 10 7 6 8 9 10 8 3 3 5 7 6 -2 -2 3 3 5 7 3 1 3 4 4 3 2 3 2 -1 -3 -4 -3 1 8 15 19 18 10 3 5 7 8 8 6 2 1 3 2 1 4 7 3 8 11 3 1 5 9 11 10 11 9 1 -1 5 5 -0 3 10 10 9 15 18 14 10 8 9 9 8 7 7 8 9 9 7 4 2 3 4 6 8 13 22 20 8 2 4 5 6 7 7 8 7 7 6 5 5 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 5 5 6 6 5 6 7 6 5 3 2 1 1 3 5 6 5 4 3 4 4 4 5 6 8 8 8 6 5 5 5 6 6 6 5 5 6 6 6 6 5 6 5 5 5 5 6 6 6 6 7 8 8 7 8 8 8 8 8 6 5 5 5 4 4 3 4 5 7 8 9 9 10 10 10 9 8 7 7 7 8 9 10 10 9 8 8 9 11 10 7 7 10 13 11 6 5 6 4 -1 -0 4 6 7 7 7 7 8 11 14 14 12 10 8 8 5 3 5 7 8 10 7 6 6 7 7 7 8 7 5 4 4 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 7 6 6 6 5 6 7 9 10 11 11 11 11 11 9 7 6 5 5 6 6 6 7 7 7 7 6 6 6 5 5 6 6 6 7 7 6 7 6 6 6 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 7 8 8 8 7 6 4 4 4 3 4 4 4 5 5 4 3 2 1 2 5 8 9 9 10 10 9 8 8 8 9 11 12 13 14 14 12 11 9 8 7 6 6 5 4 3 4 6 7 7 6 5 4 4 3 3 4 3 3 4 4 4 4 3 4 4 5 5 5 5 5 6 5 6 6 5 5 5 4 4 4 3 3 4 3 4 4 4 4 3 4 4 3 6 13 23 28 29 26 24 18 11 9 10 14 19 22 21 14 7 4 3 1 0 1 1 1 2 3 4 4 3 3 5 7 10 16 19 18 14 10 7 8 8 8 10 14 13 8 3 -2 -2 0 -5 -2 4 2 2 2 3 5 5 3 4 2 1 1 -2 -2 0 -0 -2 -0 2 5 8 9 5 1 3 4 4 5 6 5 5 6 3 1 6 10 6 3 3 5 9 12 17 18 14 8 -0 -3 2 5 2 2 3 5 11 14 16 14 9 7 8 10 9 8 7 8 9 8 8 7 5 3 3 4 7 9 13 21 20 9 3 5 6 6 7 7 8 7 7 6 5 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 4 5 4 3 3 4 5 6 6 6 5 6 6 6 5 4 2 2 1 2 3 5 4 3 3 3 3 4 4 6 8 9 8 7 7 7 7 7 7 7 7 6 6 7 7 6 5 5 6 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 6 4 4 4 4 3 3 3 4 6 8 8 9 9 9 9 8 7 6 6 7 9 11 12 11 10 10 10 11 11 8 6 7 13 17 15 9 5 5 4 3 3 5 6 7 7 7 6 6 7 10 13 14 15 14 13 12 8 7 8 9 11 9 7 7 8 7 7 7 6 4 4 4 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 8 6 6 6 8 9 10 11 12 13 13 14 13 9 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 7 6 6 7 6 7 7 6 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 6 7 8 8 8 8 7 7 7 6 6 7 8 8 8 7 6 6 5 5 4 4 4 4 5 6 6 4 3 2 1 2 4 7 7 8 8 8 7 6 6 7 9 10 10 12 13 14 13 11 9 7 6 5 5 4 3 4 6 7 7 6 6 5 4 4 4 3 3 4 4 4 3 3 4 4 5 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 6 16 27 30 25 18 12 8 5 5 7 10 14 14 11 10 9 6 4 2 1 1 1 2 3 3 4 5 4 4 5 8 12 14 15 13 11 9 7 6 7 8 8 11 17 18 12 5 -1 -0 1 -2 3 7 6 1 -3 0 6 6 3 5 4 2 1 2 3 4 6 5 2 1 -0 -2 1 0 -2 1 3 3 5 7 8 8 7 5 3 5 7 7 -0 -4 4 14 19 18 14 9 4 -0 2 5 6 2 5 9 8 12 18 19 13 7 8 10 10 9 8 7 8 9 8 8 7 5 4 3 4 7 9 13 19 20 11 4 6 7 6 6 6 7 7 7 6 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 5 4 3 3 3 4 5 6 6 5 5 5 5 5 4 4 3 2 1 1 2 4 3 2 2 2 2 3 4 6 7 8 8 7 8 8 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 8 8 8 7 5 3 3 4 4 3 3 2 3 5 7 8 8 8 7 7 6 5 5 5 7 12 15 14 12 13 13 12 11 9 5 5 6 6 9 13 11 7 5 4 4 4 7 7 7 7 6 5 5 5 6 7 8 10 11 11 10 9 10 9 9 10 10 9 8 8 7 7 6 5 4 4 5 6 6 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 8 9 8 7 7 8 8 10 11 11 13 15 15 13 10 7 5 5 4 5 6 6 6 6 6 6 6 6 6 7 8 7 7 7 6 6 6 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 7 7 7 6 6 6 7 9 11 10 9 6 5 5 6 7 8 8 8 8 9 9 9 8 8 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 6 6 8 10 11 10 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 5 5 5 5 5 5 5 4 5 5 5 6 7 7 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 9 19 21 12 4 1 -0 1 4 5 6 4 10 18 23 21 13 8 8 4 -8 -13 -7 -0 4 4 4 4 3 3 4 6 11 14 13 11 9 7 6 9 12 14 12 10 10 11 8 2 -4 -1 5 5 4 7 7 5 5 6 8 9 9 9 8 7 10 4 1 6 2 2 5 8 6 3 2 4 5 5 7 8 8 11 13 13 8 5 8 8 5 5 8 7 6 3 3 3 7 19 15 4 -1 3 8 6 8 16 26 28 23 18 17 13 8 6 7 5 5 6 7 7 7 7 7 6 4 4 3 4 6 8 9 9 9 11 13 14 12 8 6 6 5 5 6 6 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 3 3 4 4 5 5 6 6 7 7 6 5 5 5 5 5 6 6 5 4 4 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 6 6 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 3 4 9 16 14 6 7 13 17 16 11 7 6 6 6 6 6 5 5 6 7 6 4 5 6 7 8 6 4 4 6 8 8 7 5 5 5 4 4 5 4 4 5 5 6 6 5 4 5 7 9 9 9 8 8 8 8 8 8 9 8 7 6 6 7 8 9 10 10 9 8 7 6 7 8 8 8 9 9 8 7 7 8 10 11 10 8 8 8 9 10 10 11 10 10 10 9 8 8 9 9 9 8 7 7 8 10 13 14 12 8 6 5 6 8 9 8 5 3 2 3 4 4 5 8 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 7 7 5 3 2 2 3 4 5 6 5 5 4 5 6 6 6 6 6 6 7 6 6 6 7 8 8 9 9 9 9 8 8 8 7 7 7 6 7 6 5 5 3 3 3 3 4 5 5 5 6 7 9 10 13 14 13 10 7 6 5 5 5 5 6 7 7 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 6 8 8 7 7 7 7 6 5 4 4 4 3 3 3 3 4 6 4 -2 -8 -9 -11 -7 3 9 10 7 6 6 7 2 4 6 -1 -10 -12 -10 -4 2 10 15 16 10 5 2 3 7 12 16 18 14 8 4 7 12 13 9 4 2 4 7 7 9 9 9 7 7 7 5 5 5 4 3 3 5 5 4 6 5 5 8 8 7 9 10 10 11 8 4 3 7 7 5 4 5 5 5 5 5 6 9 9 8 9 3 1 5 10 14 21 25 20 11 7 6 0 -2 0 2 3 4 4 5 7 12 14 13 10 10 12 12 9 6 6 5 5 7 7 8 8 7 6 4 2 2 5 8 9 8 8 8 6 10 21 21 9 2 4 6 7 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 3 3 4 6 7 6 6 5 4 4 5 6 6 5 6 7 7 8 6 5 5 5 5 5 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 7 7 6 5 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 3 5 11 11 8 10 12 15 17 14 10 8 8 6 6 6 6 5 6 6 8 9 8 6 6 7 6 5 3 2 2 4 7 9 8 7 6 6 5 4 4 4 5 6 7 7 7 8 8 7 5 5 4 4 4 5 5 4 4 4 6 6 7 7 7 6 6 6 7 8 8 8 7 7 8 8 8 7 7 6 6 6 6 6 7 9 9 8 6 6 6 6 6 7 9 10 10 11 11 11 11 11 10 10 10 9 9 10 10 10 9 8 7 6 6 7 7 7 7 7 8 7 7 6 5 4 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 4 3 3 4 5 7 7 6 5 5 6 6 5 5 5 6 6 6 6 6 7 7 8 8 9 10 10 10 9 10 9 9 8 7 7 7 6 6 6 5 3 3 3 3 3 4 4 5 7 8 9 11 12 12 10 8 6 5 5 5 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 5 6 6 7 9 10 10 10 9 10 9 7 5 4 4 3 3 4 6 6 3 -1 -4 -4 -5 -7 2 11 10 8 6 5 7 7 6 10 10 9 12 14 18 22 22 21 19 14 7 3 3 6 12 18 22 20 14 6 2 4 8 10 9 6 3 3 5 6 7 7 11 9 8 6 4 4 5 5 8 7 5 5 6 4 1 0 5 5 6 11 13 11 10 10 9 7 6 8 6 5 6 6 6 8 7 4 6 9 11 12 7 2 3 7 9 13 15 12 7 5 3 0 1 5 7 6 7 7 5 6 11 12 8 7 11 14 12 9 7 6 3 3 7 7 7 7 6 5 4 3 2 3 5 5 6 6 5 6 13 18 15 9 5 4 5 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 7 7 6 4 4 6 7 7 7 6 5 4 4 4 6 6 6 6 7 8 7 6 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 7 6 4 4 3 3 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 11 12 8 9 14 16 16 11 8 7 7 6 5 5 5 5 6 7 10 12 10 9 7 6 6 5 3 3 3 4 4 5 6 6 7 6 5 5 5 5 5 5 6 7 8 8 8 8 7 6 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 8 8 7 6 6 5 6 7 7 8 9 9 10 11 11 11 10 10 10 9 9 10 10 10 9 8 7 6 6 7 6 6 7 8 8 7 8 7 7 5 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 7 7 6 6 6 9 11 11 8 6 5 5 5 5 4 5 5 6 6 6 7 8 9 9 9 9 10 10 10 11 10 10 10 9 9 8 7 7 7 7 6 5 4 4 4 3 2 3 4 5 6 7 8 9 10 9 8 7 6 6 6 7 7 7 7 8 7 7 6 5 4 5 5 5 5 4 4 4 5 6 6 8 9 11 13 13 13 12 11 8 6 5 4 3 3 7 11 10 6 3 2 3 3 3 6 6 5 4 3 5 8 11 12 12 14 22 32 32 30 28 24 18 13 7 3 2 3 7 12 14 16 15 12 6 3 5 6 7 8 6 6 5 6 5 4 7 12 11 9 7 5 4 4 6 9 9 7 9 9 3 1 3 5 5 6 8 8 8 8 10 12 14 12 11 8 6 6 7 7 8 9 7 6 9 13 12 9 6 4 5 7 7 9 7 5 4 2 2 4 9 14 12 10 9 7 7 9 8 5 6 10 12 10 8 8 6 2 3 6 7 7 5 4 3 4 6 7 6 4 4 4 3 3 7 11 12 12 14 10 6 5 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 7 7 7 6 5 6 7 8 7 6 6 5 4 3 4 6 6 6 6 7 7 7 6 6 6 6 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 7 7 8 8 7 6 5 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 3 4 10 13 11 12 15 17 14 9 7 6 5 5 5 5 5 5 7 9 11 12 10 9 8 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 6 5 4 3 4 4 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 5 5 6 7 7 7 7 6 5 5 6 6 7 7 8 9 9 10 10 10 10 10 9 8 9 10 10 9 9 8 7 7 7 8 7 7 8 9 8 8 9 9 8 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 10 9 8 8 11 15 15 11 7 6 5 5 4 4 5 5 5 6 6 8 9 10 10 9 9 10 10 10 10 11 11 10 10 10 9 9 8 8 7 7 7 7 6 5 3 3 3 3 4 5 5 5 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 6 5 4 5 5 5 5 4 4 4 5 6 7 8 10 13 14 14 13 11 9 8 7 6 5 4 4 3 2 3 4 5 5 5 4 2 3 5 5 2 3 8 13 16 14 10 15 27 30 26 21 17 12 8 5 2 1 2 4 5 6 7 7 9 9 6 5 7 7 7 7 7 7 7 7 5 3 6 8 11 10 7 5 4 4 5 7 7 9 11 11 6 5 4 3 5 7 6 5 5 7 10 13 16 15 12 7 5 6 7 5 5 7 9 9 10 11 9 9 9 6 6 8 11 13 9 6 4 2 3 5 9 12 11 10 9 7 6 6 6 7 8 9 9 8 9 9 6 2 6 9 9 9 6 5 5 8 12 15 15 11 7 4 3 4 8 10 10 12 13 11 12 11 5 4 4 4 4 5 5 6 6 7 7 6 5 6 6 6 6 7 7 7 6 7 7 7 7 7 6 6 5 4 3 4 5 6 6 6 6 6 6 7 7 7 7 5 4 3 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 7 8 8 7 7 6 4 4 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 5 10 14 13 13 16 16 12 7 6 6 5 5 5 5 5 6 7 10 11 9 8 8 7 7 6 5 5 5 5 6 6 5 4 3 3 4 4 4 6 6 6 6 5 5 6 6 8 8 8 8 8 7 7 7 7 7 6 5 4 3 4 3 3 4 5 6 6 6 6 7 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 6 7 7 6 5 5 5 6 6 6 7 7 8 9 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 10 10 10 10 10 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 10 11 9 8 7 9 15 17 13 9 7 5 5 4 4 5 5 5 6 6 8 8 9 8 8 8 8 9 9 10 10 11 11 10 10 10 10 9 9 8 8 7 8 8 7 6 5 4 4 4 4 4 4 5 6 8 8 8 8 7 7 7 8 8 8 7 7 7 7 6 5 5 5 5 5 5 4 4 5 6 8 9 10 12 12 11 9 7 7 7 8 7 5 4 4 0 -5 -3 2 3 3 3 2 1 4 8 6 -0 6 15 19 16 12 9 16 23 19 12 7 4 2 2 2 2 3 5 6 4 3 4 6 9 9 7 6 6 7 8 8 9 9 7 6 4 2 4 5 8 7 5 5 6 6 8 9 6 5 7 8 8 7 5 5 6 6 6 6 6 7 11 10 9 10 9 5 4 6 6 5 5 6 9 11 10 7 4 4 7 8 6 8 16 17 11 6 3 2 4 6 7 8 7 7 8 6 3 5 9 11 9 8 7 9 10 9 6 6 9 11 11 9 6 7 9 11 15 18 19 17 13 9 6 6 9 10 10 10 10 12 17 16 8 4 5 3 3 4 5 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 8 7 6 6 6 6 5 4 4 5 6 7 7 6 5 5 6 8 9 9 8 6 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 5 5 5 4 4 4 5 6 7 8 8 8 7 6 5 4 4 4 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 6 12 16 15 14 16 15 9 6 6 6 6 5 5 5 5 6 7 9 9 6 7 7 6 6 6 6 6 6 6 7 7 6 5 4 3 2 3 4 5 6 7 6 5 5 5 5 6 6 7 8 8 7 7 7 7 7 6 6 4 4 4 3 3 3 4 5 5 5 6 7 8 8 6 5 5 5 5 5 6 7 7 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 7 8 8 9 10 10 11 11 11 12 10 9 9 11 12 12 12 11 11 10 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 9 9 8 7 7 7 11 15 14 11 8 7 6 5 5 5 5 5 5 7 7 7 7 6 5 5 6 7 8 8 9 9 10 10 10 11 10 10 10 9 9 8 8 9 9 9 8 7 6 5 4 3 4 4 6 7 8 9 9 8 9 9 9 10 9 9 8 8 7 7 6 6 6 5 5 5 4 4 5 7 9 10 9 7 7 6 5 5 5 7 8 7 5 4 5 4 4 5 4 3 3 3 2 3 5 7 3 0 7 16 17 12 5 4 12 16 10 3 0 -1 0 3 5 6 7 8 7 4 3 5 8 11 11 9 6 6 7 9 10 10 10 7 6 5 3 4 5 5 4 4 4 6 7 11 12 7 4 3 3 6 7 10 10 6 7 7 6 6 9 11 9 7 8 7 8 8 8 7 6 7 8 10 12 10 4 -1 -1 2 6 5 8 14 14 8 4 1 3 5 7 7 8 9 9 9 5 3 5 9 11 10 9 9 11 10 7 6 6 8 10 9 7 6 8 10 11 12 14 15 14 13 11 7 5 7 9 10 9 9 13 17 13 5 8 11 6 2 2 4 6 7 7 7 6 6 6 6 6 6 7 7 7 8 8 7 7 6 5 5 5 5 5 6 6 7 7 7 6 5 5 6 8 10 10 9 6 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 4 4 4 4 5 7 8 8 7 7 6 5 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 3 4 4 6 15 26 23 17 16 11 7 6 6 6 6 6 5 5 5 6 6 5 4 5 5 6 7 6 6 6 6 7 7 7 8 7 6 6 5 4 4 5 5 6 6 6 6 5 5 4 4 5 5 6 6 6 6 6 6 6 5 4 5 5 4 5 4 4 4 4 4 4 5 7 10 11 9 7 6 6 6 6 6 7 7 6 6 5 5 6 6 5 5 5 5 5 5 4 4 5 5 6 6 7 8 8 8 7 7 7 7 9 10 10 11 12 14 14 13 11 9 10 12 13 13 13 11 9 9 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 4 8 15 22 23 21 15 12 11 12 12 12 16 14 12 11 9 7 5 7 7 9 12 13 12 11 11 9 9 11 13 14 15 15 16 16 13 12 13 13 13 14 14 14 13 11 10 11 12 13 13 14 14 14 14 14 13 11 9 8 8 8 11 14 16 17 15 13 13 13 14 15 15 13 11 9 8 9 12 15 17 16 14 13 12 11 11 11 11 12 12 12 11 11 11 11 12 12 12 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 11 10 9 10 12 13 14 13 12 12 11 11 12 12 12 12 13 13 12 11 11 11 11 10 11 12 11 11 12 12 12 11 11 11 12 13 12 12 11 11 10 11 12 11 11 11 11 11 11 13 12 12 12 11 11 10 10 11 12 14 14 13 12 10 8 8 11 17 20 17 15 14 13 12 12 12 12 13 13 14 14 13 12 11 10 11 12 13 13 13 14 14 14 14 13 12 12 12 11 11 11 12 13 15 14 12 10 10 11 12 13 13 12 12 12 13 13 14 14 13 12 12 12 12 11 10 8 7 9 12 13 13 12 11 11 11 11 12 12 12 12 12 12 12 11 12 13 13 13 13 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 13 12 11 12 12 9 6 8 8 9 10 10 10 10 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 14 15 15 14 14 15 15 13 11 8 6 5 7 9 10 10 11 12 12 13 14 14 14 13 13 14 15 16 19 19 17 15 14 14 13 12 12 12 13 13 13 15 18 20 20 19 17 17 15 14 13 13 13 13 12 13 13 13 13 13 13 13 14 15 15 14 13 13 14 14 14 14 14 13 14 15 14 14 14 13 13 13 14 17 19 19 16 12 12 12 12 12 12 13 14 14 13 12 11 11 12 12 13 14 14 14 15 14 14 13 13 13 12 12 12 13 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan -1 3 7 10 13 12 11 9 11 14 16 13 5 6 9 14 16 16 14 11 10 11 12 13 15 14 14 15 15 14 14 15 15 16 16 15 15 14 12 12 12 12 12 13 13 13 13 14 13 12 10 9 9 9 10 13 17 19 17 16 14 14 13 13 14 14 14 11 9 8 9 11 14 15 13 12 13 13 12 11 11 11 11 12 12 11 10 10 11 12 12 12 13 13 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 12 13 13 13 14 13 13 12 11 11 12 11 12 12 12 12 11 11 12 10 9 10 10 11 11 11 12 11 11 12 12 12 12 11 11 11 11 11 11 11 12 11 11 12 12 12 13 13 12 12 12 12 11 10 10 12 13 13 13 12 10 8 6 7 13 19 20 18 16 13 13 12 11 11 11 12 13 14 14 14 13 12 12 11 11 11 11 12 13 13 13 13 13 13 12 11 11 10 11 12 14 14 12 11 10 9 10 12 14 13 13 12 11 10 12 15 13 13 13 13 13 13 13 10 8 9 11 13 14 14 14 13 11 11 11 12 12 12 12 13 13 12 13 13 13 13 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 13 12 10 10 10 11 11 12 12 11 11 11 11 11 12 12 12 12 10 9 11 11 10 9 9 10 10 11 11 10 10 10 11 11 10 11 11 10 10 10 10 9 9 9 10 10 10 11 12 12 11 10 10 11 12 13 12 11 11 11 11 12 12 12 11 11 12 12 12 13 13 13 13 13 12 11 12 11 12 12 13 14 15 16 17 16 14 11 7 6 5 7 8 10 10 11 12 12 13 14 15 15 14 13 13 13 14 16 17 18 17 15 13 12 13 14 13 12 12 13 13 14 15 15 15 16 16 16 15 15 15 14 14 13 13 13 13 13 14 13 14 13 13 14 14 14 12 12 13 14 15 15 14 14 13 13 14 14 14 14 14 14 14 15 17 17 16 13 11 12 14 14 12 12 14 13 13 12 12 12 12 13 12 13 13 14 14 14 15 14 14 13 12 12 12 13 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 12 13 15 10 7 8 12 14 15 13 11 10 12 13 14 14 14 14 14 15 15 14 15 15 16 17 16 16 14 13 12 11 11 11 11 11 11 11 13 14 13 12 11 10 10 11 14 19 20 18 17 16 15 13 12 12 13 14 13 11 9 8 8 11 12 12 11 11 12 12 12 11 11 11 11 12 12 11 10 10 11 11 12 12 12 12 13 13 13 14 13 13 12 11 11 10 10 11 11 11 12 12 13 13 12 12 13 13 12 12 12 12 11 11 11 11 12 13 12 13 13 11 9 9 10 11 11 11 11 11 11 12 12 12 12 12 11 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 10 11 12 12 12 13 12 10 8 6 8 13 16 19 20 18 14 12 12 12 11 11 12 13 13 14 14 13 13 12 11 11 10 11 11 11 12 13 13 13 13 13 13 12 11 12 13 14 13 13 11 10 10 11 13 14 15 13 11 10 12 14 13 12 13 13 14 16 17 15 11 9 9 10 12 13 14 14 13 13 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 11 11 11 11 12 12 12 12 11 11 11 10 8 9 10 11 10 10 10 11 10 10 10 10 10 10 11 10 10 10 9 9 9 9 10 9 9 9 10 10 12 12 12 11 11 11 11 12 11 11 11 11 11 11 12 12 11 11 11 12 12 13 13 13 13 12 12 12 11 11 12 12 12 13 15 16 17 17 16 13 10 8 8 10 12 12 12 12 12 14 15 15 15 15 14 14 13 13 13 15 15 16 16 15 14 14 14 14 14 13 13 13 13 13 14 15 15 15 16 15 15 15 14 14 14 14 13 12 12 12 13 14 14 14 13 13 13 13 12 11 12 15 15 15 15 14 13 13 13 13 13 14 13 14 15 15 15 16 17 16 12 12 13 14 14 12 13 14 13 12 12 12 12 12 13 13 13 13 13 14 14 14 14 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 nan nan nan nan nan nan nan nan nan nan nan nan nan 12 14 13 13 13 14 15 14 13 13 14 14 14 14 14 15 15 15 16 15 14 13 12 12 11 11 10 10 10 10 10 11 13 13 13 13 12 13 15 18 23 21 17 16 15 14 12 10 11 13 13 13 12 10 10 9 11 11 11 9 10 12 12 12 12 12 11 11 11 11 11 10 9 10 10 11 12 12 12 12 13 13 14 13 13 12 11 11 10 10 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 14 15 13 11 11 11 11 10 11 10 10 11 12 13 12 12 13 12 12 12 12 12 12 12 12 12 12 12 13 14 13 13 13 13 14 13 12 11 11 10 10 11 12 13 13 11 9 7 7 9 14 21 23 17 13 12 12 11 11 11 11 12 13 13 13 13 12 12 11 11 12 11 10 10 11 13 15 13 13 14 14 13 14 13 12 12 12 12 11 10 11 12 13 13 13 12 11 12 12 12 12 13 12 12 14 16 16 13 10 9 9 9 10 12 13 14 12 12 12 12 13 12 13 13 13 13 13 12 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 13 12 11 10 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 10 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 13 13 13 12 11 12 12 12 12 12 13 14 16 18 18 15 13 12 11 10 10 12 12 12 12 13 14 15 15 15 15 14 13 13 13 13 13 15 16 17 16 17 16 15 15 14 14 13 13 12 12 13 14 15 15 15 15 15 14 14 13 13 13 13 13 12 11 12 13 13 14 15 15 15 15 13 11 11 13 15 15 15 13 13 12 13 13 13 13 13 13 13 14 15 16 16 17 15 14 13 13 13 12 13 14 14 13 12 12 13 13 13 13 13 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 12 13 12 12 13 14 14 14 14 14 13 12 12 12 12 13 11 10 10 10 11 12 13 13 14 14 15 17 19 19 19 17 16 16 15 13 10 10 11 13 13 13 13 13 12 11 11 10 8 8 9 11 12 13 13 13 13 11 11 11 10 9 9 9 11 11 11 11 11 12 13 13 14 13 13 12 12 11 11 11 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 13 12 11 11 11 11 11 12 13 13 12 10 7 4 6 18 25 20 16 13 12 12 12 12 12 12 13 13 13 13 13 13 12 12 13 12 10 8 8 10 14 13 12 13 13 14 14 14 13 11 9 10 11 11 11 11 11 12 11 11 11 12 11 11 12 11 11 12 12 13 14 13 12 10 10 9 9 9 11 12 13 12 11 12 13 13 14 14 14 14 14 14 15 15 14 14 13 12 12 12 12 12 13 12 11 12 11 11 12 12 13 14 14 15 16 15 15 15 15 15 14 13 13 13 12 11 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 11 12 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 13 12 13 13 14 16 17 14 11 11 10 10 10 10 11 12 13 13 14 15 15 15 15 14 14 13 13 13 13 14 15 17 18 18 18 17 15 14 14 13 13 12 12 13 12 13 13 14 14 14 14 14 13 13 12 12 12 13 13 14 14 14 14 14 14 14 14 15 14 12 12 14 15 14 12 11 12 13 13 13 13 14 14 14 13 12 13 14 16 16 16 15 12 11 11 12 13 14 13 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 48 49 49 48 47 52 56 53 48 43 35 27 19 14 10 12 15 16 13 11 10 12 14 16 17 16 13 10 8 6 5 5 5 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12 5 0 0 0 2 5 5 2 2 3 7 13 6 1 12 28 28 26 20 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 2 7 13 17 19 20 18 16 16 18 23 36 54 66 65 57 43 24 5 2 6 16 26 26 12 2 0 4 7 2 0 0 0 0 0 0 0 0 0 0 0 8 22 62 102 110 103 93 84 77 70 66 72 90 93 75 59 69 95 111 122 128 132 138 144 144 142 144 143 139 139 148 146 140 131 120 115 131 150 152 150 150 147 145 156 167 175 172 169 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 38 36 34 36 41 47 52 53 52 53 49 39 28 19 13 12 14 16 16 14 13 15 18 19 19 18 15 12 10 7 5 5 4 4 4 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 8 7 6 3 0 0 0 4 6 5 4 4 5 6 6 2 13 41 59 58 44 25 8 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 3 10 17 21 24 25 27 27 24 22 23 28 35 37 36 40 41 43 36 11 1 0 0 4 1 0 0 0 1 4 1 3 1 0 0 2 1 0 0 0 0 0 2 11 31 70 89 92 96 96 91 82 79 83 94 102 102 100 104 110 118 127 132 132 135 140 145 148 152 151 152 156 156 152 143 130 118 115 122 139 148 144 142 145 150 157 164 170 168 166 160 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 34 33 30 27 29 35 42 46 48 48 50 50 47 38 27 20 14 12 14 15 14 15 18 21 21 19 17 14 11 10 7 5 4 4 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 6 6 3 1 0 1 5 6 5 5 6 6 6 4 3 18 47 65 64 45 25 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 20 24 20 21 22 27 30 29 27 28 34 23 15 15 23 32 40 43 30 10 1 0 2 8 11 12 6 6 17 28 31 16 6 3 10 7 1 0 0 0 0 7 20 33 54 74 81 91 101 104 99 94 94 94 104 117 124 127 128 128 130 133 133 131 129 128 129 131 137 146 151 150 149 141 129 117 104 105 121 133 133 130 134 144 152 156 162 167 167 167 166 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 42 42 38 34 34 36 39 41 41 41 41 42 44 42 35 26 18 13 11 12 13 14 16 18 16 14 14 12 9 8 6 4 3 3 3 3 3 3 3 3 2 1 2 2 3 3 3 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 6 5 6 5 3 1 3 6 7 6 6 7 7 7 6 6 18 39 52 49 33 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 23 18 8 8 9 15 19 15 17 12 2 0 1 3 16 25 31 37 34 18 3 0 2 7 12 17 12 15 42 64 55 30 16 13 15 15 8 0 0 0 12 49 78 84 80 81 78 85 98 110 112 108 103 99 107 124 135 140 141 136 128 127 128 127 123 114 109 108 114 124 135 140 136 125 115 108 102 99 106 116 121 122 128 142 151 154 159 170 177 177 167 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 48 48 46 38 36 37 36 37 37 36 36 38 42 43 38 29 21 14 9 9 11 11 9 8 7 9 11 10 8 8 6 4 4 4 3 3 3 3 3 3 2 2 1 1 2 2 3 3 3 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 13 8 2 0 4 7 6 4 4 6 6 6 7 7 8 7 7 6 13 27 35 32 21 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 3 4 0 0 1 0 3 4 3 3 1 0 0 0 0 9 18 24 29 30 21 6 0 3 11 14 14 12 17 44 65 63 40 24 31 29 42 52 42 17 14 45 100 117 121 110 97 86 82 91 112 119 116 109 105 110 122 134 141 144 144 136 126 121 120 118 113 106 103 102 104 111 120 119 109 98 93 91 89 91 100 110 119 132 146 152 152 157 167 176 175 160 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 43 41 38 35 33 33 33 33 33 33 34 37 39 37 33 28 21 14 9 8 9 8 5 2 3 6 7 7 8 8 8 7 6 5 4 3 3 3 3 3 3 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 8 4 1 2 6 9 7 4 4 5 6 6 7 8 7 7 7 7 10 16 19 17 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 17 23 24 18 8 1 4 14 23 25 19 13 23 45 64 61 51 63 66 89 111 105 78 61 92 127 136 136 126 112 95 85 92 112 125 124 116 110 110 117 127 136 141 146 145 138 126 118 112 109 106 105 101 94 91 95 100 97 92 87 81 73 74 86 102 118 136 150 150 142 148 164 178 171 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 19 23 27 30 31 28 26 27 29 30 30 31 32 29 23 20 20 17 11 8 7 7 6 4 3 4 6 6 7 8 8 9 9 9 7 5 3 3 3 3 3 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 5 9 8 4 3 3 5 6 7 7 7 6 6 7 8 10 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 15 22 19 9 0 1 9 22 28 30 23 15 24 56 84 99 114 110 122 138 138 132 116 128 140 142 142 130 118 104 95 99 115 129 132 126 115 111 114 122 128 132 139 145 146 139 128 115 104 101 104 102 89 79 79 81 85 88 89 83 71 66 78 97 117 134 147 148 140 145 160 172 169 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 10 12 16 19 18 17 19 22 24 22 21 19 15 12 11 12 11 9 8 6 5 4 4 4 5 6 7 7 7 8 8 9 9 8 5 3 3 3 3 3 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 4 3 4 7 7 6 6 5 6 7 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 24 28 17 4 0 2 10 23 40 46 47 35 53 81 104 122 134 145 140 141 142 138 137 135 135 138 128 117 112 109 110 120 130 136 133 126 118 116 119 122 123 126 131 138 141 138 126 108 98 104 108 89 70 67 68 71 76 83 85 80 75 80 94 110 126 141 148 147 150 160 166 163 157 151 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 7 7 8 9 10 10 10 12 14 12 10 9 8 8 8 9 9 8 7 6 4 4 4 5 6 7 7 7 7 7 8 9 9 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 5 7 6 4 3 2 2 4 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 34 48 36 15 0 0 1 13 39 60 69 72 76 88 101 114 120 122 127 129 131 132 131 127 128 132 129 121 117 118 122 128 134 137 139 136 130 124 121 120 118 116 116 121 128 135 136 122 104 108 116 102 81 68 62 59 62 69 78 83 84 85 91 100 114 133 148 152 155 162 163 156 155 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 8 7 6 6 7 7 6 6 6 7 6 6 6 6 7 8 8 7 6 5 4 4 4 5 6 7 7 7 7 7 8 8 7 7 5 3 3 3 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 3 1 1 0 0 1 1 2 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 32 56 57 38 5 0 0 4 36 64 80 90 99 107 114 121 123 124 126 124 122 123 122 119 120 126 131 129 124 120 123 131 139 141 142 143 138 133 128 124 119 114 108 107 112 121 130 130 122 118 122 120 106 87 70 60 57 61 70 83 90 92 94 96 104 121 138 147 148 150 149 142 145 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 9 10 9 9 8 7 6 5 5 5 5 4 4 3 3 4 5 4 4 4 4 3 3 3 4 5 6 6 6 6 7 7 7 6 6 5 5 3 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 2 4 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 26 51 65 62 38 19 6 1 27 56 74 88 99 108 118 125 129 133 135 132 127 124 121 116 115 120 126 129 127 122 123 128 137 142 145 146 145 141 136 130 122 115 107 102 103 107 117 127 132 129 130 132 128 113 91 75 68 67 72 82 95 104 108 106 103 108 122 136 136 134 132 123 126 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 9 10 10 10 9 8 6 5 4 4 4 3 2 1 1 2 2 2 2 2 1 1 2 2 2 3 3 4 4 5 6 5 4 4 4 4 4 2 2 2 2 1 1 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 26 46 62 70 67 50 28 19 27 40 56 71 82 90 99 108 116 125 132 135 133 132 129 122 116 117 120 126 128 125 122 124 131 138 144 147 148 145 140 134 126 116 106 100 100 102 108 119 131 137 138 139 136 126 108 94 88 83 80 86 96 109 119 119 111 103 108 119 122 123 121 114 114 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 6 8 10 11 11 10 8 6 5 4 3 2 1 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 2 1 2 2 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 7 26 41 53 64 71 65 49 35 28 26 34 49 57 66 74 81 87 95 106 116 123 130 136 130 124 123 119 121 125 124 123 123 127 133 139 146 149 148 144 138 129 119 108 102 102 105 109 116 126 134 140 142 139 129 114 103 102 96 91 92 97 104 111 115 113 105 103 108 112 116 118 114 113 118 122 nan nan nan nan nan nan 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 5 6 8 10 11 10 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 2 7 16 26 35 44 56 66 69 63 53 39 29 26 35 39 42 47 52 57 63 72 84 96 109 122 128 129 127 119 114 115 117 122 127 131 133 137 143 148 149 146 141 132 121 111 103 102 109 116 120 127 128 132 137 139 131 120 112 108 102 99 99 99 100 101 102 103 100 101 107 111 113 117 119 119 120 121 nan nan nan nan nan 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 3 4 5 7 9 9 9 8 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 20 24 26 35 48 60 73 81 81 73 57 43 39 34 32 34 34 36 40 46 56 68 80 94 108 120 122 113 104 100 104 115 128 136 137 137 139 144 148 147 143 135 124 112 102 100 105 116 126 132 129 124 126 133 135 130 124 117 108 100 98 98 97 95 91 88 90 98 112 117 118 121 128 129 122 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 2 2 2 3 4 5 6 7 7 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 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 2 5 7 8 7 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 1 4 12 21 25 29 33 40 50 65 82 95 99 97 80 62 41 34 31 29 27 26 29 35 44 54 63 77 96 108 106 96 88 88 100 119 134 138 138 138 140 144 146 144 137 128 114 102 99 99 108 126 138 138 129 123 127 135 136 132 125 115 105 95 91 92 95 87 75 76 95 120 124 122 125 136 137 127 120 nan nan nan nan nan 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 3 2 2 3 3 4 5 6 6 5 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 4 6 7 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 2 9 18 26 32 34 35 39 49 65 82 97 108 102 84 57 38 31 28 24 22 21 22 26 33 41 50 66 86 98 96 85 78 83 103 126 136 139 139 138 140 144 144 139 130 115 102 99 101 106 120 138 145 138 128 125 129 132 130 126 121 112 100 87 87 100 96 70 67 95 124 127 125 132 139 136 127 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 6 5 4 3 3 4 3 2 3 5 5 5 3 3 3 3 2 3 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 6 3 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 1 6 15 20 30 32 34 35 41 50 60 75 90 100 93 70 44 28 24 22 19 16 14 15 19 26 31 40 58 81 98 89 73 68 83 112 130 136 139 138 138 139 140 137 128 114 102 100 105 112 122 136 146 144 135 126 124 127 127 122 122 118 108 88 86 101 105 91 88 106 126 130 129 134 137 130 118 111 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 3 5 5 4 4 5 6 4 1 0 3 5 4 1 1 2 2 1 1 1 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 5 8 7 4 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 3 10 13 17 18 26 31 34 35 40 46 51 58 68 84 92 80 54 29 17 16 14 12 8 4 4 13 19 24 36 54 82 90 74 62 70 94 118 128 131 133 134 133 133 132 123 112 102 101 109 122 130 139 146 144 138 130 121 121 122 118 118 117 109 94 86 94 106 111 113 119 128 134 134 136 137 126 112 106 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 1 4 4 3 4 7 9 7 2 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 3 7 9 7 2 1 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 4 11 15 18 20 27 32 34 36 39 43 48 51 56 69 84 87 70 44 26 14 2 4 2 0 0 2 7 14 24 35 55 77 75 60 60 78 103 120 124 126 128 128 129 129 124 114 109 107 117 135 144 146 142 132 128 125 122 119 118 117 116 115 110 98 86 88 100 112 120 123 128 136 140 141 138 125 112 110 109 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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19 20 22 21 22 22 24 24 26 27 29 30 30 31 32 33 33 32 34 40 46 47 36 29 27 27 24 20 20 24 25 24 24 26 27 29 37 46 52 56 57 57 54 52 51 50 53 58 64 67 66 61 57 56 59 62 61 55 45 33 22 19 26 37 40 36 28 21 20 20 24 33 50 75 88 95 98 100 100 92 80 67 55 44 34 39 46 55 64 73 80 82 78 70 62 58 54 56 58 55 49 38 28 25 21 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 5 5 5 5 6 6 6 5 5 5 6 6 9 15 23 29 31 27 20 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 3 6 9 11 12 12 13 18 26 32 34 32 27 22 20 20 21 21 20 20 21 24 27 29 30 31 31 31 31 32 33 32 29 27 26 28 32 39 49 60 78 104 117 114 102 85 71 62 54 44 37 32 25 19 15 13 13 13 11 9 9 8 8 7 10 16 27 44 61 74 84 94 nan nan nan nan nan nan nan nan nan nan nan
22 22 22 23 24 25 26 26 27 28 29 29 28 27 26 28 29 30 34 41 46 44 35 30 28 26 22 16 16 21 24 23 23 24 24 23 26 40 51 53 50 46 44 42 39 36 35 40 49 58 64 64 60 57 57 60 65 64 56 42 30 22 23 30 35 38 40 34 24 19 24 35 50 66 81 92 96 95 92 88 80 67 52 37 29 32 39 47 58 70 80 83 78 69 63 62 61 63 58 39 26 17 12 11 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 3 3 4 5 6 6 6 7 7 7 8 7 6 5 5 6 7 11 18 25 30 30 25 19 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 10 10 10 11 15 23 29 31 27 21 18 18 19 20 19 18 18 19 20 22 26 30 31 31 32 32 34 33 31 28 26 26 34 39 44 48 56 82 105 116 117 112 103 94 89 84 70 60 50 38 26 18 17 17 15 12 10 8 6 3 1 2 4 12 31 46 60 68 nan nan nan nan nan nan nan nan nan nan nan
21 20 20 20 22 23 24 24 26 27 27 28 27 27 27 26 26 27 28 33 38 38 34 31 28 26 22 14 9 16 22 24 22 21 20 20 20 33 49 50 45 41 40 38 33 26 22 23 28 38 50 59 61 60 58 60 65 70 66 53 40 33 31 32 33 34 37 40 31 20 29 44 58 71 83 94 98 93 85 81 74 60 44 32 27 30 36 45 58 74 86 86 79 73 72 74 73 65 52 29 13 6 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 4 4 5 6 6 7 8 8 8 8 7 6 5 5 6 7 11 18 25 29 28 23 17 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 7 8 8 10 15 24 30 30 25 20 19 20 20 18 17 16 15 15 16 20 25 28 30 32 33 34 34 32 29 25 23 32 37 42 46 50 61 80 96 106 106 101 96 97 105 109 98 85 75 64 48 37 30 24 17 11 8 7 4 1 0 0 0 7 18 30 40 42 nan nan nan nan nan nan nan nan nan nan
15 16 16 16 16 15 15 16 17 16 16 18 20 22 24 24 24 24 24 25 31 34 35 33 30 28 24 15 8 11 21 24 23 21 20 20 21 28 46 52 48 44 42 40 34 27 21 17 16 22 34 48 58 63 63 63 66 72 73 62 49 41 40 38 35 33 35 38 36 23 35 53 69 80 89 98 99 92 83 78 67 53 38 31 31 35 43 53 67 84 92 87 83 84 86 84 76 60 45 23 6 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 3 4 5 5 6 7 7 8 8 8 7 6 5 4 5 6 10 17 24 28 27 22 16 12 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 6 8 10 16 25 30 28 24 22 21 20 18 17 15 12 10 10 13 18 23 28 31 33 34 35 35 30 26 23 26 30 37 44 47 51 58 67 82 84 81 78 79 83 89 92 92 92 94 92 79 64 52 40 28 17 10 6 2 3 2 0 1 3 8 13 17 nan nan nan nan nan nan nan nan nan nan
12 13 14 13 13 13 12 11 11 11 10 11 12 13 14 17 19 22 24 26 28 32 34 36 34 31 27 20 13 12 19 24 24 22 21 21 23 29 40 46 44 40 42 41 37 31 26 21 17 18 25 38 52 63 68 67 68 72 75 70 58 48 45 43 39 37 38 40 38 31 39 58 75 86 92 96 97 90 80 72 62 50 41 39 40 45 52 62 74 86 93 90 90 93 87 82 68 50 31 12 1 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 0 0 0 0 0 0 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 3 4 4 4 5 6 6 7 7 7 7 6 5 4 4 5 7 13 21 26 26 21 15 11 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 11 18 22 22 22 21 20 18 16 13 8 6 6 7 8 15 22 27 31 33 35 35 32 29 26 26 27 31 39 42 44 47 52 54 60 64 63 61 59 62 65 70 73 79 88 94 92 87 78 65 45 26 14 7 3 2 1 1 1 1 1 2 nan nan nan nan nan nan nan nan nan nan
10 11 12 11 12 12 11 10 8 8 8 9 9 9 9 10 12 16 22 25 27 29 32 36 37 35 32 26 20 18 20 24 24 23 23 23 24 28 34 35 30 26 29 35 36 35 32 28 25 24 26 35 47 60 69 71 69 69 72 72 65 55 48 45 42 41 44 47 44 39 43 61 78 91 95 96 95 90 80 70 62 56 54 54 54 55 57 62 68 78 87 92 93 88 76 74 55 34 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 2 2 3 3 3 4 4 4 4 4 4 5 6 6 6 7 6 6 5 4 4 5 9 16 23 23 18 12 9 9 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 7 9 10 12 14 15 16 15 11 6 5 5 5 5 8 14 20 26 30 32 34 33 31 29 28 28 28 34 36 38 42 46 49 52 54 56 58 57 54 55 56 57 59 63 72 83 96 104 104 88 63 43 27 15 6 5 3 2 2 1 0 nan nan nan nan nan nan nan nan nan nan
8 8 9 9 9 10 10 9 8 7 8 8 9 10 10 9 8 10 13 18 22 26 30 35 38 38 36 31 25 22 22 24 24 24 23 23 26 28 30 27 22 18 20 27 35 40 38 36 32 30 31 35 43 53 64 70 69 65 67 70 68 58 49 46 46 45 52 56 54 48 50 65 82 96 101 99 96 91 82 75 70 69 70 73 72 65 59 56 58 68 81 90 89 76 63 66 45 20 6 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 1 0 0 0 0 0 1 1 1 1 2 3 4 4 4 5 6 5 4 3 3 3 4 5 5 6 7 7 7 6 4 4 4 7 12 19 18 12 7 5 7 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 3 6 6 5 4 4 5 5 5 5 6 11 18 22 26 30 31 31 30 29 29 29 30 30 33 37 40 43 46 49 51 55 56 55 53 52 51 52 53 55 61 75 90 102 107 100 87 70 52 32 23 16 10 7 4 3 3 nan nan nan nan nan nan nan nan nan
7 7 7 7 7 8 8 8 8 7 8 8 9 9 10 9 8 8 7 8 12 19 26 32 37 39 38 34 28 24 22 24 24 23 23 23 26 29 30 28 22 19 20 25 33 40 40 40 38 32 30 31 37 45 54 63 66 61 63 68 67 58 49 47 51 55 60 64 62 56 59 71 85 97 102 102 99 93 88 85 85 88 89 89 85 74 60 50 52 64 78 86 81 67 56 55 37 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 5 6 7 7 6 5 4 3 4 4 5 5 6 8 9 8 7 5 4 4 6 8 13 13 6 2 2 4 8 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 1 2 3 5 5 5 5 5 6 10 13 16 21 24 26 27 28 28 27 28 27 28 31 36 38 39 41 44 47 48 50 48 46 45 46 48 51 54 59 68 80 94 106 111 107 98 86 67 53 40 28 16 10 8 nan nan nan nan nan nan nan nan nan
6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 9 9 12 18 25 33 38 38 36 31 26 23 23 24 21 19 20 24 28 30 27 22 20 21 23 28 34 38 40 38 27 22 23 29 37 45 53 58 58 60 66 64 56 49 50 58 66 68 70 70 64 68 79 91 100 104 103 98 92 92 96 103 106 102 96 88 75 60 48 53 67 78 82 73 58 51 46 30 16 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 8 8 7 5 4 4 4 4 5 5 6 8 10 10 8 6 5 4 5 7 10 9 3 1 1 3 8 10 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 4 4 5 6 8 11 16 20 23 25 25 26 26 26 26 31 36 36 37 39 40 40 40 40 38 38 39 41 44 48 52 56 59 65 87 101 108 110 111 106 96 85 72 52 35 26 nan nan nan nan nan nan nan nan nan
6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 9 10 11 12 24 33 37 38 35 29 24 22 22 21 18 18 21 26 29 27 23 20 21 22 24 27 33 37 33 22 13 14 22 33 44 52 56 57 59 63 59 51 51 62 72 74 72 74 76 74 80 90 98 104 106 102 94 90 91 90 96 102 95 86 78 68 56 50 58 72 78 76 60 48 46 42 28 15 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 6 7 8 7 6 6 5 5 4 4 4 5 6 8 11 10 8 6 5 4 4 6 8 7 2 0 1 3 7 11 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 4 7 10 13 17 19 21 22 23 24 27 30 32 35 37 36 34 33 32 32 33 35 37 40 44 48 52 54 65 75 86 94 101 108 111 110 106 97 81 65 nan nan nan nan nan nan nan nan nan
6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 6 7 8 10 10 11 15 22 30 36 37 33 27 22 20 21 19 18 20 24 28 28 24 20 19 20 22 23 27 32 28 18 10 11 20 38 53 60 60 59 59 57 54 52 63 80 88 84 78 78 81 83 90 101 109 111 109 103 97 94 92 91 91 87 73 67 62 56 52 55 64 72 72 61 44 36 40 41 28 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 3 5 7 6 5 5 6 5 4 3 2 3 4 7 10 10 8 6 4 3 4 5 6 6 2 1 1 2 6 10 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 13 16 17 17 19 23 26 30 32 34 31 29 28 28 29 31 33 36 40 45 49 52 57 65 74 80 86 94 100 106 111 111 101 97 nan nan nan nan nan nan nan nan
7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 6 7 8 9 10 11 11 14 19 29 35 35 30 24 20 19 20 20 20 23 27 29 26 21 18 17 19 23 24 27 23 16 10 13 25 46 60 68 68 64 58 55 57 65 82 99 100 92 85 83 84 87 96 108 118 116 109 102 98 94 87 79 70 60 53 54 54 53 56 64 70 68 58 40 29 26 37 44 24 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 5 5 5 4 3 2 1 1 2 5 8 9 7 5 3 2 3 4 4 5 3 2 2 1 3 8 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 9 13 14 16 21 23 25 27 24 23 24 26 25 26 28 31 35 40 44 47 51 56 60 65 70 79 88 97 106 108 107 nan nan nan nan nan nan nan nan
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