Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 4 4 4 4 4 3 3 3 5 7 10 12 11 10 9 8 7 7 6 6 5 4 5 4 4 4 4 3 3 4 3 4 4 4 4 3 3 3 3 3 3 2 2 3 3 4 4 3 3 3 3 3 2 2 2 3 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 7 8 7 7 6 5 6 8 8 8 7 7 6 7 7 7 7 6 7 7 8 8 8 8 8 8 8 7 6 5 5 4 4 5 7 8 9 9 7 6 6 5 5 8 12 10 7 6 7 6 9 7 9 8 10 12 6 0 5 8 6 4 5 4 4 6 8 3 -3 -2 1 -2 -0 5 5 4 9 13 7 1 -1 1 7 7 1 -0 4 10 11 6 3 6 10 10 7 7 7 6 6 8 8 5 4 6 8 9 9 9 12 18 27 31 30 29 23 9 3 3 5 7 6 5 3 3 4 3 3 4 4 4 5 5 4 3 2 2 1 1 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 6 7 10 15 20 24 26 23 13 7 6 6 6 6 6 6 7 6 4 4 4 5 5 4 4 4 4 5 5 5 6 6 4 5 4 4 3 3 4 4 3 5 7 6 4 3 2 2 2 3 4 5 6 5 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 2 2 2 1 2 6 13 18 22 32 40 30 19 14 10 3 -4 -6 -9 -6 -12 -7 -1 -5 -5 1 3 1 -4 -6 -8 -16 -19 -14 -9 -10 -11 -7 1 5 5 5 5 7 12 19 22 21 12 6 8 9 8 7 6 6 8 12 13 10 10 11 9 7 6 8 8 6 5 5 5 5 5 5 4 4 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 5 4 4 4 3 2 3 4 6 8 9 8 8 8 8 8 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 4 4 3 2 2 2 2 2 2 3 3 2 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 4 3 3 3 3 3 3 3 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 6 6 6 6 8 9 8 6 6 6 7 7 8 7 7 7 8 8 8 9 9 8 8 8 7 6 5 5 4 4 6 7 8 9 8 7 5 5 5 5 9 11 12 11 9 8 9 9 6 5 5 12 11 6 -2 -1 6 7 6 6 2 -0 2 4 3 -0 -1 -0 -2 0 2 2 6 13 16 10 2 -2 -2 4 9 10 8 9 15 13 6 2 4 6 7 8 10 8 6 6 7 6 6 9 7 6 8 10 11 13 20 28 29 29 25 14 5 3 4 6 7 6 4 4 3 3 3 3 4 4 4 4 4 4 3 2 2 1 2 2 2 3 2 3 3 4 4 4 4 5 5 5 5 5 5 7 10 15 22 28 25 18 12 8 6 6 6 7 8 8 9 6 4 5 5 5 6 5 5 5 5 5 4 3 2 -0 0 4 4 2 2 3 4 4 3 4 5 6 5 4 3 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 3 3 3 3 4 3 3 3 3 4 3 3 3 2 2 1 1 1 0 1 1 1 -0 -0 -0 0 0 1 1 3 11 16 14 11 13 22 31 29 25 20 14 13 11 9 4 2 0 3 2 3 4 7 9 6 3 1 -1 -2 -4 -1 -3 -7 -8 -3 3 5 5 5 4 5 7 10 14 12 6 7 8 7 6 5 5 5 5 7 6 6 7 6 5 5 5 6 5 5 5 5 4 5 5 4 4 4 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 5 5 5 4 3 3 3 4 4 4 5 5 6 6 7 7 7 7 8 9 9 8 7 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 2 2 3 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 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 3 4 5 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 6 7 6 5 5 6 6 8 8 8 6 6 6 7 8 9 9 9 8 8 8 8 9 9 8 7 7 8 7 5 5 4 4 6 7 8 9 8 6 5 5 5 6 9 12 14 14 12 11 7 1 2 4 7 12 10 7 -1 -7 -4 4 12 13 6 1 2 5 5 3 0 -1 -0 2 3 3 6 12 16 12 4 -0 -1 6 13 14 10 8 11 10 7 5 3 4 6 8 8 7 7 8 5 5 9 8 5 4 6 8 9 11 15 21 24 22 15 7 3 4 5 7 7 5 4 3 4 4 3 3 4 4 3 4 4 3 3 3 2 2 2 2 3 2 2 3 3 4 4 4 4 5 5 5 5 5 5 7 10 15 23 30 27 13 5 5 5 5 5 7 8 9 7 5 5 5 6 5 5 5 5 5 5 5 4 3 2 -5 -9 -2 2 -2 -4 0 3 4 4 3 4 5 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 2 2 1 1 1 2 2 2 2 3 3 4 4 4 4 3 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 0 0 -1 -1 2 7 13 13 9 6 5 8 17 24 29 25 16 13 11 8 7 7 7 9 9 6 4 6 9 10 9 6 5 7 6 7 7 4 2 1 3 5 5 5 5 5 5 5 7 7 6 7 8 7 6 5 4 4 4 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 4 4 5 4 3 3 4 5 5 4 3 3 4 4 4 5 5 5 6 7 9 10 9 7 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 2 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 2 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 3 3 5 5 5 5 5 6 6 6 5 5 5 6 7 8 8 6 6 6 7 8 8 9 10 9 9 9 9 9 9 9 8 7 8 7 6 4 4 4 5 7 8 9 8 6 5 5 5 4 3 3 10 14 10 10 6 -3 -1 4 6 5 4 4 3 -3 -5 1 11 14 10 7 6 7 6 4 1 -1 1 4 4 6 7 7 9 8 3 1 3 11 14 12 8 7 4 4 8 10 6 3 3 6 6 5 9 9 6 7 9 7 6 5 6 7 8 10 16 21 21 13 7 4 4 5 6 7 7 5 3 3 4 4 3 3 3 4 3 3 4 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 6 10 14 19 26 29 20 7 3 4 4 5 5 6 5 3 4 5 5 5 5 5 5 4 5 5 5 4 5 6 -1 -11 -8 -2 -3 -5 -1 3 4 4 4 4 4 4 4 4 5 5 4 3 2 2 2 1 2 2 2 3 3 2 2 2 1 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 6 11 12 9 5 2 1 5 11 12 8 5 5 5 5 6 9 19 23 16 12 10 6 4 5 8 11 12 8 5 4 7 10 9 8 7 6 5 7 10 9 5 4 5 5 4 4 5 5 5 5 4 5 6 6 7 7 6 6 5 4 4 5 6 7 7 7 6 5 5 5 5 5 5 5 4 5 5 5 5 4 4 6 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 4 4 4 3 3 3 5 5 5 4 3 3 3 3 3 4 4 4 5 7 8 9 8 7 6 5 5 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 6 5 4 5 5 7 8 7 7 6 6 7 7 8 9 9 10 10 10 10 9 9 9 8 7 8 8 6 5 4 4 5 6 8 8 8 7 6 6 5 3 -4 -9 1 9 5 7 9 3 1 2 1 1 4 8 10 6 2 1 6 9 8 6 6 5 3 3 1 0 3 6 6 9 9 4 4 3 1 2 5 6 5 5 7 8 3 -0 4 8 6 -1 -4 1 2 7 11 10 9 9 9 9 8 7 6 7 7 12 20 21 14 7 4 4 4 5 7 7 6 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 6 5 5 5 6 8 12 14 19 27 30 20 7 3 3 4 4 4 3 2 3 4 4 4 4 4 4 4 5 6 6 5 6 7 4 -3 -9 -4 6 8 4 3 4 4 4 4 3 3 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 4 7 15 24 31 29 20 12 10 12 13 8 2 -0 -1 1 1 -0 1 5 12 12 10 9 8 6 5 6 9 11 11 9 7 8 12 11 8 10 11 9 8 7 6 6 5 5 4 4 3 4 5 5 5 5 5 5 6 6 6 7 6 6 5 5 5 6 7 8 8 7 6 5 5 6 5 5 5 5 5 5 4 5 4 5 6 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 4 4 4 3 3 3 3 3 4 4 5 5 4 3 3 3 3 3 3 3 4 5 6 7 7 7 6 6 6 5 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 2 3 3 3 3 3 4 3 3 3 3 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 6 5 4 4 5 5 7 7 7 7 6 5 6 6 7 8 8 8 9 9 10 10 10 9 8 8 9 8 7 5 4 4 5 5 7 9 8 7 7 7 6 4 -1 -3 3 3 -1 4 10 4 -2 -4 -1 5 9 12 12 8 5 5 8 8 8 8 6 4 4 5 3 4 5 6 7 10 8 5 4 2 1 4 6 -0 -4 -2 4 8 6 2 -1 1 6 5 -2 -2 6 12 10 10 11 9 10 11 9 6 6 7 7 13 17 13 7 5 4 4 4 6 7 7 6 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 5 5 5 6 6 5 6 5 6 8 10 11 13 20 31 30 15 5 4 3 3 3 3 3 4 4 4 3 3 3 4 4 6 6 6 5 5 5 6 3 -4 -4 6 12 8 4 3 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 3 3 3 4 3 4 4 3 3 3 3 3 2 2 2 2 2 1 1 2 3 5 9 15 24 33 39 40 34 26 21 18 12 3 -3 -7 -9 -7 -8 -9 -5 -1 3 7 8 8 9 9 7 6 6 7 11 16 13 10 16 16 13 12 11 9 7 6 5 5 5 4 3 2 2 2 3 4 5 5 5 5 5 5 6 7 7 6 6 5 5 5 6 7 8 8 7 6 5 6 6 6 5 6 6 5 5 4 5 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 7 7 6 4 4 3 3 3 4 3 3 3 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 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 4 4 5 6 7 7 6 5 5 5 6 7 7 7 7 7 8 9 9 9 9 8 8 9 9 7 6 5 4 4 5 7 8 8 8 7 7 7 5 4 6 10 6 -1 0 2 -5 -11 -8 3 9 8 6 5 5 5 9 11 8 9 11 8 5 5 6 5 5 6 4 8 9 7 6 4 3 5 11 10 4 -1 -2 -1 5 8 5 2 2 9 13 4 2 10 12 11 10 10 8 7 8 7 4 4 5 8 14 13 7 4 4 4 5 5 7 7 7 5 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 7 8 9 11 14 24 32 22 11 8 6 4 4 4 5 5 5 5 4 5 4 3 5 5 5 6 5 4 4 4 4 2 -3 -5 1 6 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 4 4 4 4 3 2 2 2 2 3 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 2 3 2 1 1 1 1 1 1 1 3 8 14 18 19 22 25 29 31 31 29 23 15 7 1 -4 -6 -8 -6 -5 -7 -5 1 3 5 6 8 8 8 10 8 6 5 4 9 13 14 17 17 12 8 6 5 6 5 5 5 5 4 4 3 -0 -3 -2 2 4 5 5 5 5 5 6 7 7 6 6 5 5 5 6 6 7 7 7 6 5 5 5 5 6 6 5 5 5 5 5 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 nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 8 7 4 3 4 4 4 4 5 4 4 4 3 3 3 4 4 4 3 3 4 4 3 4 4 4 4 5 6 7 7 7 6 5 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 6 7 6 5 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 5 5 4 5 7 9 9 8 7 8 7 6 5 4 6 8 8 4 -1 -6 -7 -2 3 4 3 2 3 5 9 13 10 7 9 10 8 5 5 4 3 5 9 8 8 6 4 5 3 3 10 16 15 11 7 4 -1 1 6 13 12 4 6 10 7 6 7 10 9 9 10 8 4 4 4 4 5 6 12 16 12 6 5 5 5 5 6 7 7 6 5 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 6 6 8 10 12 17 29 27 16 12 10 9 8 8 8 8 8 7 8 9 9 7 5 6 5 5 4 3 3 3 4 5 2 -3 -3 2 4 4 4 5 4 4 4 3 3 3 3 3 3 3 2 3 4 4 4 4 4 2 2 2 2 2 3 4 4 4 4 3 3 3 3 2 2 1 2 2 1 2 1 1 1 1 1 1 1 1 3 7 15 22 22 17 13 12 13 15 17 17 14 6 2 2 2 1 0 1 3 2 1 4 5 5 5 7 7 7 9 10 9 9 4 -1 3 8 11 11 7 5 6 6 5 4 4 5 4 4 6 7 3 -7 -10 -7 1 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 7 6 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 7 8 8 5 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 7 8 8 7 6 5 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 6 6 6 6 5 4 5 6 7 8 8 7 6 6 6 7 7 7 7 7 8 8 7 6 5 5 6 7 8 8 8 8 8 7 6 5 2 1 4 10 11 6 4 4 5 4 2 3 6 7 8 11 14 9 7 8 7 8 6 5 3 3 5 10 12 8 4 3 3 2 2 10 16 13 11 11 7 4 2 2 6 9 6 6 5 7 6 8 16 15 10 9 7 5 3 3 5 7 11 17 16 9 5 5 5 5 5 7 7 7 6 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 5 6 6 6 7 6 6 6 6 6 6 7 10 13 24 34 27 19 16 14 14 14 12 10 9 9 10 13 14 13 9 7 4 3 3 3 3 3 4 4 5 4 -1 0 3 4 4 4 5 4 4 4 4 4 3 3 3 2 2 3 3 4 4 5 5 4 2 2 1 1 2 3 3 4 3 3 3 3 2 2 1 0 0 0 0 -0 1 1 1 1 1 1 2 4 7 11 17 18 15 11 8 7 7 8 8 8 9 3 -3 1 5 5 4 3 4 3 3 3 4 4 4 4 6 7 7 9 12 17 15 5 1 3 6 7 6 6 6 6 5 5 4 4 4 5 8 13 13 3 -6 -12 -6 3 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 2 4 6 8 7 6 4 4 3 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 4 4 4 3 4 3 3 4 6 7 7 8 8 8 6 5 4 4 4 3 3 2 2 3 2 3 4 4 3 4 4 4 4 4 3 3 3 3 3 4 3 4 4 3 3 3 3 4 4 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 4 5 4 5 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 4 5 4 5 5 5 5 6 5 5 4 3 4 5 6 7 6 5 4 5 6 7 8 9 7 6 6 6 5 5 6 6 6 7 7 8 6 5 5 6 6 7 8 8 9 9 8 6 5 4 2 2 4 7 9 9 7 5 7 9 13 16 14 9 8 10 9 9 9 6 6 7 5 4 3 4 8 10 7 4 4 5 4 3 8 12 10 8 8 4 5 3 3 5 1 5 6 -0 3 1 8 18 21 16 10 6 1 -1 2 6 9 14 18 13 7 5 5 5 5 6 7 7 7 6 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 5 6 6 7 7 6 6 6 6 6 5 5 7 9 15 27 33 31 28 25 22 19 16 12 9 9 9 11 15 17 15 9 5 4 4 5 5 5 4 4 5 5 3 2 2 2 3 3 4 4 4 5 5 4 4 4 3 3 3 3 3 3 4 4 5 4 3 2 2 1 2 2 3 3 3 2 3 2 2 2 1 0 0 -0 -0 -1 -1 -0 0 -0 0 1 4 9 12 12 12 10 7 6 6 7 6 6 6 7 10 11 4 3 4 4 5 4 4 3 3 3 2 3 4 5 8 11 10 10 13 18 21 17 6 4 6 6 6 7 7 6 5 5 5 4 4 4 6 14 20 14 10 3 -4 -0 4 4 5 5 5 5 6 6 5 6 6 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 5 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 1 2 3 5 7 7 6 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 5 6 8 9 10 9 8 5 4 4 4 3 2 2 3 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 3 3 4 4 3 4 4 4 5 4 4 5 5 5 6 6 5 5 4 4 4 6 7 7 6 5 5 6 7 9 10 9 7 6 5 4 5 5 5 6 6 7 8 7 6 5 5 6 7 9 9 10 10 9 7 5 5 4 3 2 5 6 4 1 2 9 14 16 15 10 7 6 7 9 11 10 7 5 5 5 4 0 0 5 8 5 4 6 10 7 1 4 7 6 6 6 5 6 3 10 12 -1 4 2 -6 -4 -3 5 15 17 14 8 3 1 3 5 7 9 14 15 9 5 5 5 5 5 6 7 7 6 5 4 4 4 4 4 3 4 4 3 3 3 3 3 3 2 3 3 2 2 2 3 3 3 3 3 3 3 5 5 5 6 7 7 7 6 6 6 6 6 5 5 6 7 12 21 28 30 30 30 26 22 19 17 17 15 13 13 15 15 12 8 6 6 7 8 7 7 6 6 8 8 5 1 1 2 2 2 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 2 2 1 1 1 2 2 3 2 2 2 2 2 1 1 1 0 0 1 0 -0 0 -0 -0 1 5 11 12 9 6 5 4 5 5 4 5 5 5 5 10 15 12 6 4 4 4 5 5 5 5 6 5 5 7 11 16 19 17 13 12 11 13 13 8 5 6 6 6 6 7 6 5 5 5 5 5 4 5 9 15 14 10 10 5 1 3 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 1 3 5 6 6 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 4 4 5 6 8 10 11 10 7 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 4 4 4 5 5 5 6 6 5 4 4 4 5 7 8 7 5 5 6 7 9 10 10 8 6 6 5 4 5 5 4 5 6 6 7 6 5 6 7 8 10 12 11 11 10 8 6 5 4 3 4 5 3 -2 -2 3 9 11 8 8 6 3 4 6 8 11 10 8 5 4 5 5 1 -0 3 7 7 6 9 12 7 0 -0 3 3 4 6 9 10 8 14 13 2 3 11 9 4 3 9 15 8 5 4 4 7 13 13 9 10 15 13 6 5 5 5 5 6 7 7 7 6 5 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 2 3 2 2 3 2 3 3 3 3 3 4 5 5 6 7 7 7 7 6 6 6 6 5 5 5 5 5 6 8 12 16 19 22 24 24 24 24 25 25 23 19 15 13 14 13 12 11 14 17 18 15 12 11 12 12 5 1 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 2 1 0 -1 -1 -0 -0 0 2 2 1 1 1 1 2 1 1 1 2 1 0 0 1 2 3 5 9 9 5 2 3 4 4 1 -2 -1 0 1 2 5 9 10 6 5 4 3 4 4 4 6 9 9 10 13 13 12 13 14 10 6 5 5 4 5 5 5 5 5 6 6 6 6 5 6 6 6 5 5 5 8 9 6 6 3 1 3 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 4 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 -0 -0 1 2 3 3 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 5 7 9 11 12 10 6 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 4 5 5 5 5 6 6 5 4 4 4 5 6 8 7 6 5 5 7 8 9 9 9 7 6 6 5 5 4 3 4 5 6 6 7 7 7 8 10 10 10 10 10 11 9 7 7 5 2 -3 -5 -1 -2 -1 4 9 4 5 9 10 3 2 4 7 9 8 7 7 8 7 8 6 3 2 5 7 9 13 11 9 6 3 4 5 3 2 7 9 11 12 7 9 6 19 27 20 15 14 11 5 4 6 7 10 13 12 10 15 17 11 6 5 5 5 5 6 7 7 7 6 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 5 5 6 6 7 7 6 6 6 6 6 5 6 5 5 5 5 4 4 6 7 8 11 14 17 17 18 21 22 24 24 22 20 21 24 26 24 22 21 20 19 18 17 11 3 3 2 2 3 3 3 4 4 4 4 2 3 3 3 2 2 2 2 1 2 2 2 2 2 1 -1 -3 -3 -3 -2 -1 1 2 2 1 1 1 2 2 2 2 2 1 1 1 5 9 9 6 1 3 5 2 -0 1 2 -1 -7 -8 -8 -6 -3 -1 3 6 5 4 4 4 4 5 5 4 7 8 9 10 7 3 4 6 5 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 4 5 6 7 8 3 0 2 4 4 4 5 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 4 4 4 3 4 4 4 5 6 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 -0 0 1 2 2 1 2 3 3 3 3 2 2 2 2 2 3 3 2 2 2 2 2 2 1 2 2 3 3 3 3 3 3 3 3 4 5 7 9 11 10 7 6 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 6 7 8 6 5 5 6 7 8 9 8 8 7 6 5 4 4 4 4 4 6 7 7 7 7 9 8 6 6 7 8 10 10 8 8 7 1 -9 -11 -3 -2 1 5 10 2 10 14 8 2 2 4 7 7 6 7 8 10 11 12 10 5 2 2 4 9 14 11 11 12 7 5 5 2 -0 3 5 8 7 5 7 4 14 22 20 16 13 9 9 11 10 8 9 9 8 12 17 14 8 6 5 5 5 5 6 7 7 7 5 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 4 4 5 6 7 7 7 9 12 16 21 23 22 24 24 22 17 13 11 13 15 17 15 8 5 5 4 4 4 4 4 4 5 5 4 4 6 8 7 5 3 2 1 1 2 3 4 4 3 3 1 -1 -2 -1 1 3 3 3 2 2 1 2 2 2 2 2 1 1 3 6 12 18 19 8 -5 -5 1 2 -2 -4 -3 -2 -4 -6 -7 -7 -3 1 3 4 5 5 6 7 9 13 13 8 7 8 4 2 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 4 5 5 5 6 6 6 6 5 5 4 4 5 8 9 5 3 4 4 4 5 6 7 6 3 3 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 1 1 1 2 2 1 1 2 2 3 3 2 2 1 1 2 2 2 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 3 3 4 6 7 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 6 7 7 7 5 4 5 7 7 7 7 7 7 6 5 5 4 4 4 5 6 7 7 8 8 7 4 2 4 5 6 8 9 8 8 7 2 -5 -6 -0 2 2 2 4 2 6 12 4 6 4 4 6 5 7 10 9 9 11 12 11 6 2 1 3 7 11 8 6 7 5 3 4 0 -1 2 6 7 5 7 7 4 7 11 11 12 12 11 12 11 9 7 6 5 7 14 16 10 7 6 5 5 5 5 7 8 8 7 5 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 7 9 10 13 12 9 5 5 6 6 6 7 9 8 6 6 6 6 6 5 5 5 4 4 3 3 5 10 18 19 14 7 2 -1 -1 1 4 6 7 6 6 5 5 5 7 8 8 7 5 3 2 1 2 2 2 1 1 1 3 7 13 17 20 20 9 -6 -10 -6 -2 -3 -4 -2 -1 0 1 2 1 3 6 6 4 4 5 7 9 13 18 21 17 13 9 4 3 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 7 6 4 5 5 4 4 5 7 9 4 1 4 6 6 7 6 6 6 5 5 5 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 3 2 2 3 2 2 2 2 1 2 4 4 2 1 0 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 2 2 2 2 3 4 5 6 6 5 5 4 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 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 7 7 7 5 4 5 6 7 6 6 6 6 6 6 5 5 5 5 6 6 7 8 8 9 8 5 5 6 5 5 6 7 8 8 7 4 0 -1 1 8 6 5 -1 -1 -4 2 3 12 7 4 2 3 7 11 9 8 9 10 10 8 5 3 3 6 8 4 1 2 2 3 4 2 3 5 7 7 5 6 7 7 4 6 8 10 10 9 8 7 6 4 3 5 11 17 14 7 6 6 5 5 5 7 8 8 8 7 5 4 3 3 3 3 4 4 4 4 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 3 2 2 4 11 24 33 29 17 5 -1 -1 1 4 6 7 8 7 7 8 10 12 14 13 9 4 2 2 1 2 2 2 2 3 4 8 12 11 10 12 13 8 -2 -9 -8 -4 0 1 1 1 2 2 4 5 5 6 6 6 6 6 7 9 4 3 12 14 10 6 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 7 10 9 4 4 6 7 7 7 7 6 6 5 5 4 4 4 4 4 3 4 4 4 3 4 5 5 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 5 4 3 4 3 3 2 1 1 2 4 5 4 2 1 1 1 1 2 1 2 2 2 2 2 3 3 4 4 5 5 5 4 4 3 2 2 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 6 5 5 4 4 5 5 6 6 7 8 7 6 5 5 6 7 6 6 6 6 6 5 5 5 5 5 6 6 7 8 9 10 10 9 8 8 7 6 5 5 6 7 7 6 5 1 2 11 10 10 11 8 -6 1 8 15 11 7 2 2 4 7 7 8 8 8 8 9 7 4 5 9 8 5 3 3 5 5 3 3 8 11 9 7 5 3 4 3 2 5 7 8 6 4 6 5 4 3 4 7 13 16 12 7 7 6 6 5 6 7 9 9 8 6 4 3 3 4 3 3 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 5 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 3 3 2 3 9 21 35 39 30 13 3 1 1 2 2 3 3 4 4 6 8 9 11 11 7 3 2 2 2 2 3 4 7 7 7 11 10 2 -6 -3 4 7 6 3 2 3 3 3 4 3 2 2 2 3 4 6 7 8 9 11 12 8 4 -0 2 6 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 5 5 5 5 5 5 5 5 4 4 5 8 9 7 5 6 6 7 8 8 7 6 6 5 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 5 5 5 5 5 5 5 4 3 2 1 1 3 5 5 4 3 2 2 1 1 2 2 2 2 2 3 3 3 4 4 5 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 4 5 5 6 7 7 8 8 7 6 6 7 7 7 6 6 6 6 5 5 5 6 5 6 6 7 7 9 10 10 9 9 8 8 7 6 5 5 6 7 8 8 4 4 11 17 9 9 11 3 1 6 10 9 9 5 3 3 5 8 7 7 7 7 8 7 5 6 11 12 11 8 8 10 9 4 3 10 12 11 7 4 2 2 2 2 4 5 5 3 4 6 3 2 4 5 8 12 14 10 7 7 6 5 5 6 8 9 9 7 5 4 3 4 4 3 3 3 3 3 4 4 4 3 3 4 4 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 5 5 5 5 6 6 6 5 4 4 4 4 4 4 3 3 3 3 6 14 24 33 33 23 11 4 2 1 -2 -4 -4 -3 -2 3 8 7 6 5 3 2 4 5 6 6 6 9 13 13 8 2 1 -2 -7 -7 0 7 10 10 8 7 4 4 6 5 4 5 5 4 6 9 11 13 12 11 13 14 15 9 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 5 5 6 7 7 7 6 6 4 4 5 6 5 5 5 5 5 5 6 7 6 6 6 6 7 8 9 8 7 6 6 5 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 4 5 5 6 6 6 6 5 4 2 2 2 3 4 4 4 4 3 3 2 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 2 3 3 4 4 5 5 5 5 4 4 5 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 4 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 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 6 6 5 5 4 5 5 6 7 8 9 8 7 6 7 7 8 8 6 6 6 6 5 5 5 5 5 6 6 7 7 8 9 9 9 9 8 8 7 6 7 7 5 5 8 10 7 5 12 21 11 -2 2 7 -2 1 -2 4 8 5 5 7 8 8 6 8 8 7 7 7 7 7 6 9 12 10 10 13 12 6 5 9 9 9 5 3 3 4 2 2 3 5 4 3 7 5 3 3 5 5 7 12 14 9 7 6 5 5 6 6 8 9 8 7 5 4 5 5 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 5 5 4 3 3 3 3 3 3 3 3 4 7 12 19 26 28 23 12 4 3 -0 -2 -3 -4 -7 -2 12 15 9 3 1 4 13 20 19 16 15 15 14 14 9 1 0 3 3 1 3 6 8 9 8 7 5 5 7 7 6 9 14 12 10 12 15 17 15 7 5 10 10 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 5 5 6 6 7 7 7 8 5 1 3 6 6 6 6 5 5 5 5 6 7 7 6 5 6 8 8 9 8 7 6 5 5 5 5 5 5 5 4 3 3 3 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 4 4 5 6 7 7 7 6 5 4 3 2 2 3 4 4 5 5 5 4 4 4 4 4 5 5 5 4 3 3 3 4 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 4 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 6 6 7 8 9 9 8 7 7 8 9 7 6 5 6 7 6 6 5 5 6 6 6 7 7 7 8 8 8 8 8 7 7 7 8 9 7 5 6 8 7 5 10 17 11 0 4 7 -2 -2 -7 -0 2 4 6 10 10 8 6 8 10 8 6 7 10 10 8 8 9 9 10 12 11 7 6 6 7 5 4 3 3 5 3 5 6 6 4 5 9 6 4 5 5 5 6 12 12 7 6 6 5 5 6 6 8 9 8 7 6 6 5 5 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 3 3 4 4 4 5 4 4 3 3 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 5 5 5 4 4 3 3 4 4 4 4 4 4 5 6 9 15 23 31 27 16 9 5 4 3 2 -3 -4 7 17 16 10 7 11 22 33 33 26 23 21 14 10 8 6 6 5 6 6 6 5 6 6 7 7 6 5 9 11 11 13 18 20 17 13 10 11 12 9 3 5 5 5 6 6 5 4 4 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 10 11 4 2 5 6 6 6 6 6 5 5 6 7 7 6 6 6 6 7 7 8 8 7 7 6 6 6 6 5 5 4 3 3 3 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 5 5 5 6 7 8 8 7 7 6 4 4 3 2 3 3 5 6 6 6 5 4 4 5 6 6 6 5 4 4 3 4 4 4 5 6 6 6 5 4 4 4 4 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 3 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 6 6 7 9 11 11 11 10 9 9 8 7 6 5 6 7 7 6 6 5 6 5 6 6 6 7 7 7 7 7 7 7 7 8 9 10 10 6 5 7 7 1 4 10 6 2 9 10 4 -5 -7 -1 -1 4 7 11 11 8 6 10 12 9 6 8 14 16 12 9 8 8 11 11 8 6 4 3 4 4 4 3 3 2 4 9 10 6 6 10 10 6 5 5 5 5 8 14 11 7 6 6 6 5 5 6 8 8 9 7 7 6 6 5 4 3 3 3 3 2 2 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 3 3 3 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 8 14 25 34 32 21 11 8 7 6 3 0 4 10 12 13 13 14 18 24 26 22 18 16 10 6 6 6 5 5 5 5 5 4 4 4 5 6 7 5 10 14 13 11 11 13 12 7 5 4 7 8 5 4 4 5 7 7 6 4 3 3 3 2 3 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 4 3 5 6 6 6 8 12 10 5 5 6 7 7 6 5 5 5 6 7 7 7 7 6 6 6 6 6 6 7 7 8 7 7 7 6 5 4 4 3 3 3 3 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 6 6 5 5 6 6 7 7 7 7 7 6 5 4 3 2 3 4 5 6 7 6 4 3 3 4 5 6 7 6 5 4 3 3 3 4 5 5 5 5 5 5 4 4 3 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 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 6 6 6 5 7 11 16 20 19 15 12 9 8 7 6 5 5 5 6 7 7 6 6 5 5 5 6 7 7 6 6 6 7 7 7 8 10 10 10 11 7 4 8 9 -0 -1 3 2 4 13 15 10 -2 -5 1 1 2 5 10 13 8 7 11 14 10 6 10 17 17 13 9 9 9 10 8 6 1 -3 -1 4 5 5 5 7 6 7 11 11 8 11 13 8 4 4 5 5 5 9 14 10 6 6 6 6 5 5 6 7 8 9 9 7 6 5 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 7 12 21 31 29 21 16 12 8 5 2 4 6 4 4 4 0 0 1 -0 -1 -0 4 6 5 5 5 4 4 5 5 4 4 4 5 6 7 9 7 8 10 8 5 5 4 2 3 3 3 4 5 5 4 4 4 5 6 6 6 4 2 2 2 3 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 5 6 8 7 0 2 5 6 6 7 8 9 7 6 7 7 7 7 6 5 5 6 6 7 7 7 7 6 5 4 4 5 5 6 8 8 8 8 7 6 5 4 3 3 3 3 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 6 6 5 5 5 6 6 7 8 7 7 7 6 5 4 4 4 3 3 5 7 8 7 4 3 3 4 6 7 7 6 4 3 2 2 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 6 7 15 28 38 37 28 19 12 7 6 6 6 5 5 5 6 7 7 7 7 6 5 5 5 7 7 6 5 6 6 7 8 10 11 11 10 11 6 1 5 8 1 0 3 3 6 12 15 9 2 1 6 5 2 2 5 10 9 8 13 15 10 7 11 14 13 10 8 7 7 5 3 1 -3 -5 1 6 5 4 6 10 8 8 10 10 10 12 10 5 4 4 4 4 4 7 8 6 5 6 6 5 5 5 5 6 8 9 8 7 5 4 3 3 3 3 3 2 2 2 3 3 3 4 3 3 3 3 3 4 4 3 3 3 3 3 4 4 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 5 5 4 4 4 4 5 6 6 6 5 5 4 3 3 4 4 4 3 4 5 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 6 8 15 25 29 27 25 18 11 6 5 5 3 -1 -4 -7 -10 -8 -9 -11 -8 -1 3 5 6 5 4 4 5 6 7 9 9 9 9 11 14 11 6 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 6 5 4 3 2 2 3 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 7 11 6 1 5 6 6 6 6 7 7 6 7 7 8 8 7 6 5 5 5 6 7 7 7 7 5 4 4 3 4 5 7 8 8 8 8 7 6 5 4 3 3 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 7 6 5 4 4 4 5 6 7 7 7 7 7 6 5 5 5 5 4 3 4 6 8 9 7 4 3 4 5 7 7 8 6 4 2 2 3 2 3 3 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 2 2 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 6 6 6 6 6 7 7 6 16 35 53 59 48 30 16 6 2 2 4 5 4 4 5 5 6 7 7 7 7 6 5 5 6 7 6 6 5 5 6 9 12 12 10 9 9 5 -1 0 3 3 5 6 8 8 12 12 7 4 4 8 10 5 1 1 5 8 8 12 13 9 8 11 10 8 7 6 5 2 -1 -3 -3 -1 5 10 9 3 1 3 5 6 6 4 5 7 9 6 3 4 4 3 2 1 3 5 7 7 5 5 5 4 4 4 6 7 8 8 6 5 4 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 3 3 3 3 4 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 7 13 18 22 27 29 25 19 15 13 9 9 9 4 -2 -1 1 -1 0 4 5 4 5 6 5 4 7 8 12 18 18 16 17 17 14 9 4 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 5 6 6 4 3 3 4 4 5 6 5 5 4 4 5 5 4 4 4 4 4 4 5 7 8 5 5 6 5 5 6 6 6 7 7 7 8 8 8 6 5 5 5 5 5 6 7 7 5 4 3 3 4 4 5 6 8 9 9 9 8 6 5 4 3 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 5 5 4 3 3 3 3 4 6 6 6 6 6 6 5 5 6 6 6 5 4 5 7 9 9 6 4 4 4 6 7 8 8 6 5 4 4 3 2 2 3 3 3 3 3 3 3 3 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 3 3 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 7 7 7 8 7 10 26 42 48 48 35 19 5 -4 -3 1 3 4 5 5 5 5 5 6 7 7 7 7 6 6 6 6 7 6 5 7 9 11 11 10 6 6 8 9 2 -2 2 6 6 6 8 7 10 11 9 6 3 5 9 9 6 2 3 7 10 9 6 6 8 10 9 6 4 3 2 -3 -6 -5 -1 4 10 12 6 -2 -3 -2 0 4 1 -5 -1 3 5 5 2 1 -0 -1 -0 -0 2 6 10 9 5 5 5 4 4 4 5 7 8 8 7 5 4 3 3 3 4 4 4 3 3 3 3 4 4 4 3 3 4 5 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 3 3 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 5 9 15 22 26 27 25 26 25 25 26 21 12 8 9 7 8 12 16 15 12 16 16 12 15 14 14 20 21 18 14 11 8 4 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 6 5 4 4 5 5 6 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 6 5 5 5 5 6 7 6 6 5 4 4 4 4 5 6 7 8 9 9 9 9 7 5 4 3 3 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 5 5 4 3 3 2 2 2 2 3 4 4 4 5 5 5 4 5 5 7 7 6 6 5 6 8 8 7 6 5 4 4 5 7 8 7 7 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 6 7 8 8 9 9 14 25 26 20 19 12 1 -9 -11 -3 2 3 4 5 5 4 5 5 5 6 6 7 7 7 7 6 6 7 7 7 9 11 10 9 9 6 4 6 12 7 1 6 12 7 5 5 1 -0 1 6 9 5 2 4 9 11 7 5 10 12 8 3 4 6 8 9 4 1 1 -1 -2 -1 3 6 5 4 4 1 -5 -4 -1 1 2 -1 -1 2 5 7 5 0 -4 -6 -3 0 2 4 11 16 11 5 5 5 4 4 4 4 6 7 8 7 6 4 3 4 4 5 5 4 3 4 3 4 4 4 4 4 4 4 5 4 4 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 3 3 4 3 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 5 5 5 5 5 5 4 5 5 9 15 19 21 22 23 22 27 31 27 20 19 16 17 20 23 24 23 24 25 23 22 18 11 10 12 9 5 3 4 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 7 7 6 5 4 4 5 7 7 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 7 6 5 5 5 6 7 7 6 5 5 4 4 5 5 6 6 7 8 10 11 10 9 6 5 3 3 4 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 4 4 3 3 3 2 2 1 2 2 2 2 3 3 4 3 3 3 5 6 7 7 7 6 5 6 7 7 7 6 4 3 4 5 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 9 11 16 18 13 7 4 0 -10 -16 -9 1 3 3 4 4 4 4 5 5 5 6 6 7 7 8 7 7 6 7 8 9 10 10 8 8 8 9 5 4 11 9 2 5 11 10 11 7 0 -3 -2 4 9 8 4 3 9 13 11 10 14 14 8 4 4 3 6 7 3 0 1 -0 2 7 12 10 2 0 2 0 -1 -0 3 5 4 3 4 6 12 10 3 -2 -6 -5 -1 4 7 7 15 19 10 5 5 5 4 3 3 3 5 6 8 8 7 6 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 8 9 10 8 8 12 20 27 27 24 24 23 18 14 15 17 15 15 15 14 12 7 4 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 6 6 6 5 5 3 4 6 7 6 4 3 3 3 3 3 4 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 7 8 8 7 6 5 4 5 6 6 6 6 6 5 5 5 5 6 6 6 6 7 9 11 12 10 9 7 5 4 4 4 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 3 3 3 3 2 2 2 2 2 2 1 1 2 2 2 2 2 2 3 5 7 7 7 7 5 5 6 7 7 6 5 3 3 3 3 2 3 4 4 4 4 4 4 4 4 4 5 5 5 4 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 5 5 6 8 9 10 11 12 14 16 15 11 5 2 -1 -9 -13 -4 3 4 4 4 4 4 4 4 5 5 6 6 6 7 8 8 7 7 8 11 12 10 8 6 6 8 10 6 4 11 9 2 -1 -1 8 15 12 5 1 1 3 6 9 9 7 9 11 13 14 15 11 7 6 5 4 4 5 3 1 1 3 6 8 9 7 -3 -2 2 2 3 0 3 6 7 8 7 9 15 9 2 -2 -4 -2 3 9 11 9 14 16 7 4 5 5 4 3 3 3 4 5 7 7 8 7 6 6 7 6 5 5 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 3 3 4 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 3 2 2 2 1 2 2 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 7 11 14 14 16 12 7 5 5 4 4 5 4 4 5 3 3 2 2 3 3 3 3 4 4 6 7 8 7 6 4 3 3 4 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 5 5 4 3 4 6 6 5 4 3 3 3 3 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 8 7 6 5 4 5 6 7 7 6 6 6 5 6 6 6 6 6 6 7 9 10 10 10 9 8 5 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 3 3 3 2 2 2 3 3 3 2 2 2 1 1 1 1 1 2 4 5 7 8 7 6 5 5 6 6 6 5 4 3 2 1 1 1 2 3 3 3 3 4 4 4 5 7 7 6 5 4 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 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 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 6 7 8 9 10 13 17 18 15 11 7 4 -1 -3 -5 -6 -0 4 4 4 4 4 4 4 4 5 5 5 5 6 7 8 8 8 8 12 15 13 9 7 3 1 9 14 5 2 9 12 3 -2 -3 2 11 14 8 4 3 2 3 5 7 7 7 10 15 16 12 6 5 7 7 6 5 4 3 3 4 7 8 2 0 3 -4 -1 4 3 2 -2 2 5 4 7 10 15 17 12 4 -1 -3 -0 8 14 13 9 12 15 9 4 5 4 4 4 3 3 4 5 5 6 7 7 8 8 8 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 4 5 5 5 5 4 4 4 4 4 5 5 4 4 3 2 3 4 4 4 4 4 4 4 4 3 4 4 3 4 4 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 3 2 2 2 3 3 3 3 4 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 3 5 5 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 7 10 12 11 9 7 4 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 6 5 4 3 3 2 2 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 7 8 9 8 6 5 4 4 5 6 7 7 7 6 6 6 7 7 6 5 5 6 7 8 9 9 10 10 8 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 2 2 3 3 3 3 4 4 4 4 3 3 2 1 1 0 1 3 5 7 7 7 6 6 5 6 6 6 5 5 3 2 1 1 1 1 2 2 3 3 3 3 4 4 6 7 8 8 7 6 4 3 3 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 2 2 3 3 3 2 2 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 13 19 24 19 11 4 -1 -2 -5 -6 -2 1 2 3 4 4 5 4 4 4 4 5 5 5 5 6 6 7 7 8 11 14 15 12 8 8 4 -2 2 14 11 2 6 10 2 0 1 -0 7 13 8 4 4 5 3 1 1 4 8 10 12 10 6 2 2 5 7 7 6 3 3 4 10 12 6 -6 -6 5 3 1 5 3 0 -2 -1 -1 2 8 9 13 18 17 6 -2 -1 5 13 15 10 7 12 17 10 4 5 5 4 3 3 3 4 5 5 5 6 7 7 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 3 2 2 3 2 3 3 3 2 2 2 3 3 3 4 5 5 6 5 5 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 4 4 3 3 3 3 4 4 4 5 6 9 13 16 17 15 12 7 2 2 4 5 4 4 4 5 6 5 5 4 4 4 5 6 6 6 6 5 5 6 6 6 6 5 4 3 3 3 4 5 6 6 7 6 7 7 7 6 6 6 6 5 5 5 6 6 6 7 8 9 9 8 6 5 4 5 5 6 7 7 7 7 7 7 7 6 5 5 5 6 7 8 8 9 10 10 7 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 2 2 2 2 3 3 3 3 4 5 5 5 4 4 3 2 1 1 2 4 5 6 6 7 7 7 6 6 6 6 5 4 3 1 1 1 2 2 3 3 3 3 3 3 4 4 5 7 10 12 11 8 5 4 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 3 3 2 2 2 2 1 2 2 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 8 10 14 21 28 27 18 7 -2 -2 -5 -10 -7 -0 3 3 3 3 4 4 5 5 4 4 5 5 6 6 5 6 6 7 10 12 12 10 8 7 9 11 4 -4 -1 7 5 5 4 1 1 3 -0 3 9 9 4 3 4 3 1 -0 1 7 9 6 2 1 1 1 3 7 8 6 4 4 6 13 12 0 -9 -4 13 14 2 3 2 -0 2 -0 -4 4 12 9 13 23 20 7 -1 1 9 15 13 6 6 12 18 12 4 5 5 4 3 2 3 4 4 4 4 5 6 7 8 7 7 5 5 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 5 5 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 5 6 5 5 5 5 5 5 5 4 4 3 3 3 4 3 4 3 3 2 2 2 2 2 3 4 3 3 3 3 3 3 4 4 5 6 10 15 19 21 20 16 10 4 2 3 5 4 0 -2 3 6 5 5 5 4 4 4 5 5 6 6 6 6 7 7 7 7 6 5 4 3 3 3 5 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 6 7 9 10 9 8 6 4 4 5 5 6 7 7 7 8 8 8 7 7 5 4 5 6 7 8 9 10 9 7 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 3 2 2 2 2 3 4 5 5 6 5 4 3 2 2 3 4 5 6 6 7 8 8 7 6 6 6 5 3 2 1 1 2 2 3 3 3 3 3 3 3 3 4 5 9 13 14 10 6 4 4 3 3 3 2 2 3 3 3 3 4 4 4 5 5 5 6 6 5 4 3 2 1 1 1 2 2 2 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 9 10 15 22 29 30 25 17 6 0 6 -3 -11 -5 1 3 3 3 3 3 4 4 5 5 5 6 7 6 6 5 5 6 9 14 14 11 8 6 5 6 10 10 3 -2 -1 1 2 2 2 2 4 1 0 3 7 7 4 -1 2 2 1 2 6 9 5 1 -0 -0 2 6 10 11 9 8 10 12 14 8 -4 -4 6 20 17 0 -0 3 1 6 4 2 8 9 10 22 28 18 5 2 6 12 14 9 5 5 10 18 14 4 5 5 4 3 3 3 4 4 4 4 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 3 3 3 3 3 3 2 2 3 4 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 4 3 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 2 1 2 2 2 2 3 3 3 3 3 4 5 4 4 4 7 12 18 21 20 18 16 10 5 3 4 5 6 1 -6 -2 6 6 5 5 4 4 4 4 5 6 6 6 7 7 7 7 8 7 6 5 4 4 3 3 5 6 6 7 7 7 7 7 8 8 7 6 5 5 5 5 5 5 6 8 9 10 9 7 5 4 4 4 5 6 6 7 7 8 9 9 7 6 5 6 6 7 8 9 9 9 7 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 2 2 3 3 3 4 3 2 3 4 6 5 5 4 3 3 2 3 4 5 5 6 8 8 8 7 7 6 6 4 2 1 1 1 2 2 3 2 2 2 2 2 2 3 4 6 10 12 11 8 5 4 3 3 2 2 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 4 3 1 0 -0 1 2 2 2 3 3 4 5 5 5 6 6 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 9 11 13 17 22 26 28 24 19 17 14 8 4 -3 -6 -0 2 3 3 3 3 3 3 4 5 5 6 7 8 7 6 5 5 9 16 18 15 11 8 7 6 5 4 5 8 10 5 -0 -0 2 4 5 5 4 3 1 3 5 5 -0 -1 2 5 5 7 10 10 7 3 1 4 9 14 14 10 9 15 21 19 7 -2 4 12 17 10 0 3 5 3 9 4 6 12 10 16 29 26 11 4 7 12 15 12 6 4 6 11 19 14 5 5 5 4 3 3 4 4 5 4 4 5 5 6 5 5 6 5 5 4 4 4 4 4 4 5 5 4 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 5 5 5 3 3 2 3 4 3 2 2 2 2 2 2 2 2 3 4 4 4 4 3 3 4 4 5 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 2 3 3 3 3 3 3 3 4 3 3 4 4 4 5 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 2 2 2 2 1 2 2 2 3 3 3 3 4 4 4 4 5 7 13 20 21 16 11 9 7 5 4 4 5 7 5 -1 -2 4 6 5 5 4 4 4 4 4 5 5 6 7 7 7 5 7 8 7 7 6 6 2 1 5 6 6 6 6 6 7 7 8 8 8 7 6 5 5 5 5 5 5 7 8 10 9 8 6 5 4 4 4 5 5 6 6 8 9 10 8 7 7 6 7 8 8 9 9 9 8 5 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 3 3 3 3 5 8 9 7 4 2 3 4 5 5 5 4 3 2 2 2 3 4 5 6 7 8 8 8 7 7 6 4 3 2 1 1 1 2 2 2 2 2 3 3 3 4 5 8 11 12 10 6 4 2 2 2 2 3 3 3 3 3 3 3 4 3 4 5 5 6 7 7 7 4 2 0 -0 0 1 2 3 3 3 3 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 5 5 6 8 11 14 17 20 23 23 21 19 15 13 18 20 5 -11 -4 1 3 3 4 3 3 3 3 3 4 4 5 6 7 9 9 7 8 10 15 18 17 15 12 8 8 9 6 5 6 5 3 4 4 3 4 6 7 7 8 8 4 2 2 3 1 0 2 5 7 8 10 11 12 9 6 6 9 12 12 7 5 12 23 23 10 2 6 10 11 5 2 6 7 4 7 1 3 11 20 31 30 17 7 8 13 15 13 9 5 5 7 13 18 12 5 6 6 4 3 4 4 5 5 5 4 4 4 5 5 5 6 5 5 5 4 4 4 4 5 5 5 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 2 1 2 3 4 4 3 3 2 2 1 1 1 1 2 3 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 1 1 2 2 2 3 3 2 2 3 2 1 1 2 2 2 3 3 3 4 4 4 4 6 12 19 21 13 4 2 3 4 4 4 6 8 7 3 1 4 5 4 4 4 4 4 4 4 4 5 6 6 8 9 3 3 8 8 7 8 9 6 2 3 5 6 5 5 5 6 7 8 8 8 8 7 6 6 5 5 5 6 6 7 9 10 9 8 6 4 4 4 5 5 6 6 7 9 9 9 8 7 7 7 8 9 9 9 9 9 7 5 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 6 5 5 5 6 8 12 14 12 7 3 2 2 3 3 4 4 3 2 2 2 2 2 3 5 6 7 8 8 8 8 8 7 5 3 3 2 2 1 1 1 1 2 3 3 4 4 4 6 10 13 11 7 3 1 1 2 2 2 2 2 2 2 2 3 4 3 4 4 4 6 7 8 8 7 5 2 0 -0 1 2 2 3 2 2 3 3 4 5 5 5 5 4 3 3 3 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 5 8 12 17 20 21 22 21 16 13 13 10 8 15 13 -2 -9 -2 2 4 4 4 3 3 3 3 3 3 4 5 6 7 9 10 11 13 17 17 13 13 15 13 6 4 8 5 6 11 7 0 -1 2 3 6 7 7 10 13 11 6 5 5 4 3 4 5 6 9 11 9 7 9 10 9 6 6 8 7 4 2 6 16 19 11 3 4 7 8 7 4 5 5 5 2 -2 1 9 24 33 22 9 8 13 14 12 9 6 5 6 9 14 17 10 5 6 5 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 4 4 3 3 3 4 4 5 5 5 4 3 3 4 4 4 4 4 4 5 5 5 4 3 2 1 1 2 3 4 4 3 2 2 2 2 1 1 1 2 4 4 4 4 4 5 5 5 4 4 4 2 2 3 3 3 4 3 3 3 3 4 4 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 1 1 0 0 0 0 1 2 3 3 4 4 3 2 2 2 2 2 2 3 3 3 3 4 4 4 5 8 16 18 11 2 0 2 3 3 2 4 10 11 5 2 4 4 4 4 4 4 4 4 4 4 5 5 6 7 11 8 3 6 8 8 7 8 8 5 4 5 5 5 4 4 5 6 7 7 8 8 8 7 6 6 5 5 6 6 7 8 9 9 8 7 6 5 6 5 6 6 6 6 7 8 9 8 8 8 8 8 9 9 9 10 10 8 7 5 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 7 7 7 7 9 13 15 13 8 5 3 2 2 2 3 4 4 3 2 2 1 1 2 3 4 5 7 7 8 8 8 8 7 6 5 4 3 2 1 1 1 1 2 5 6 5 4 5 8 12 12 8 4 2 2 2 1 1 1 1 1 1 2 3 3 4 4 4 4 5 6 7 9 10 9 5 2 0 -0 0 2 2 2 2 2 2 3 3 4 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 7 13 17 20 20 18 15 12 10 12 14 8 6 8 4 -0 1 2 3 3 4 3 3 3 3 3 3 4 5 5 5 7 10 14 16 18 19 15 8 5 5 8 4 -1 3 4 4 5 8 6 3 3 3 7 7 6 10 15 13 9 9 12 13 11 9 8 8 12 12 8 5 5 6 7 5 4 6 6 3 2 5 9 11 7 2 4 8 9 9 6 0 1 7 -1 -2 5 11 21 20 11 7 9 10 9 6 4 5 6 7 9 15 19 10 4 6 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 2 1 1 2 3 4 4 3 3 3 3 2 1 0 1 2 4 5 5 5 5 5 5 5 5 4 3 2 2 2 3 3 4 4 3 3 3 4 5 6 6 6 6 6 5 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 2 2 1 1 1 0 -0 -1 -1 -1 0 1 2 4 6 6 4 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 6 10 12 8 3 3 3 2 -0 -0 -0 4 10 8 3 3 3 3 3 3 3 4 3 4 4 5 5 5 6 9 11 6 5 6 7 6 6 7 5 5 5 4 4 3 3 4 4 5 7 8 9 9 8 7 6 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 10 10 10 8 6 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 6 7 7 7 8 8 7 7 7 11 13 11 8 7 5 4 3 3 2 2 3 4 3 3 2 1 1 1 1 2 4 6 7 8 8 8 8 7 7 7 5 3 1 1 0 1 3 5 7 7 5 4 6 9 11 9 6 5 3 2 2 1 1 1 1 2 2 3 4 4 3 4 5 5 5 7 8 9 10 9 6 3 1 0 1 2 2 2 1 1 1 2 3 3 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 10 16 18 16 13 10 8 7 10 16 15 6 3 3 2 2 3 4 4 3 3 3 3 3 3 3 3 4 5 4 5 9 14 18 21 22 19 11 5 -1 -1 2 3 2 2 3 2 2 4 5 7 6 7 9 6 4 7 11 13 16 18 17 14 11 10 10 11 11 9 6 5 5 5 5 5 6 7 5 4 4 5 6 7 4 2 5 8 9 6 1 -3 0 6 -3 2 12 12 15 12 5 3 2 4 3 1 3 5 7 8 10 15 16 8 5 6 6 5 5 5 4 4 5 4 4 4 3 4 4 4 5 4 5 6 6 6 6 6 6 5 4 3 3 3 4 4 4 5 4 4 4 3 3 3 3 4 4 4 4 5 5 4 3 2 1 1 2 3 3 3 4 4 4 5 5 4 3 1 1 2 4 5 5 5 5 5 5 5 5 4 3 2 2 2 2 3 4 3 3 4 4 5 6 6 7 6 7 6 5 5 4 4 4 4 5 5 5 4 4 3 3 3 3 2 2 1 1 1 1 0 -0 -0 -0 0 1 1 3 5 8 7 5 3 3 3 2 2 3 2 2 3 3 3 4 5 4 4 5 6 7 6 4 4 6 5 1 0 1 -0 0 4 5 3 3 3 3 3 3 4 4 3 4 4 5 5 6 6 7 6 5 5 5 6 6 5 5 5 4 4 4 3 3 3 3 4 5 6 8 8 8 8 7 6 5 5 5 7 7 7 7 7 8 8 8 9 9 8 8 7 6 5 6 7 7 8 9 9 8 7 7 8 10 11 11 10 7 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 7 7 6 5 5 8 10 10 8 8 9 8 6 5 4 3 3 3 4 4 3 2 1 1 0 1 2 4 5 7 7 8 8 8 8 8 7 5 3 1 1 2 4 6 7 7 6 5 5 7 9 10 11 9 6 3 2 1 1 2 2 2 3 3 4 4 4 4 4 5 5 6 7 8 10 12 11 8 5 3 2 2 2 2 2 1 1 1 2 3 3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 7 13 18 15 11 8 6 6 8 12 17 12 1 -2 1 2 2 3 4 4 3 3 3 3 4 4 4 4 5 5 5 7 13 18 18 18 18 14 7 2 1 1 4 5 5 4 4 3 2 2 4 4 5 8 8 5 4 5 4 8 18 20 11 4 4 8 11 12 6 4 5 5 6 6 4 5 7 8 5 4 7 9 10 10 7 4 6 8 6 -0 -3 -1 5 7 -2 6 16 15 13 6 -1 -4 -3 1 0 2 7 9 9 9 9 11 13 9 5 6 6 6 5 5 4 5 5 4 4 3 3 3 4 4 4 4 5 6 6 7 7 6 6 5 3 3 3 4 4 4 5 4 4 4 3 4 3 3 3 4 4 5 5 5 4 4 3 2 1 1 2 3 4 3 4 5 8 9 10 9 7 4 3 3 4 5 6 6 5 5 4 3 3 3 3 2 2 3 3 3 4 3 4 4 5 5 6 6 6 7 7 6 6 5 4 4 4 5 5 5 5 4 3 3 3 3 3 2 2 1 0 1 1 1 1 1 1 1 2 2 4 7 9 8 5 3 3 3 2 3 3 2 2 3 3 4 4 5 5 5 5 5 6 5 4 4 9 13 9 5 5 2 -1 2 5 4 3 3 3 3 3 3 4 3 3 4 4 5 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 3 4 3 3 4 4 5 6 7 8 8 8 7 6 5 6 6 7 6 6 5 6 7 8 9 10 10 10 9 7 6 5 6 6 7 8 9 8 7 6 7 8 10 11 11 10 6 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 6 5 5 5 6 7 8 8 9 10 10 9 8 7 6 5 4 3 3 4 4 2 1 0 0 0 1 3 4 5 6 7 8 8 8 8 7 5 3 3 3 5 7 8 7 6 5 5 5 6 9 12 12 8 4 2 2 2 2 2 2 3 4 4 4 4 4 4 4 5 6 6 7 8 10 13 13 12 8 6 5 4 4 3 2 2 1 1 2 3 3 3 2 2 2 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 7 12 17 17 12 8 7 7 7 8 12 14 5 -5 -4 0 2 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 10 17 17 14 11 10 8 6 3 1 3 8 10 9 6 4 3 3 2 3 3 6 14 8 5 6 5 3 7 15 13 5 2 3 7 11 9 5 5 7 4 5 7 5 5 7 7 4 4 8 12 12 13 16 13 10 10 5 -0 0 4 7 5 3 10 17 18 10 -0 -2 -1 2 4 4 8 11 10 9 9 7 9 15 13 6 5 6 5 5 5 5 5 5 5 4 3 2 2 3 3 4 5 5 6 7 7 7 6 5 4 4 3 4 5 5 4 4 4 5 4 3 3 3 3 4 4 4 5 5 5 4 4 3 2 1 2 2 3 3 4 5 8 10 12 14 15 13 9 6 5 4 5 6 6 5 3 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 4 5 4 4 4 4 4 3 3 3 3 3 2 1 1 1 1 1 2 1 1 2 2 3 3 4 7 9 7 5 4 3 3 2 2 2 3 3 3 3 4 5 5 5 5 5 5 5 4 4 3 8 16 17 10 7 8 6 5 5 5 4 3 2 2 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 5 5 6 7 7 8 7 6 6 6 6 6 5 4 4 4 5 6 9 11 11 12 11 9 8 6 5 5 6 7 8 8 8 7 6 7 8 10 11 10 8 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 6 5 5 5 5 6 8 8 8 9 9 9 9 9 7 5 4 4 4 4 3 2 2 1 1 2 2 4 5 6 6 7 7 7 7 7 5 5 5 6 7 7 6 6 5 5 5 6 7 10 11 9 5 2 1 1 1 2 2 3 4 4 4 4 4 4 4 4 5 6 6 6 7 11 14 15 14 11 9 8 7 6 5 3 2 2 2 3 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 5 5 5 7 12 15 14 11 8 7 7 7 7 8 10 12 3 -6 -5 -0 2 3 3 3 3 3 3 4 4 5 5 4 4 5 5 7 12 16 13 10 8 8 9 8 5 2 2 5 11 15 10 3 0 1 3 5 9 12 16 8 6 8 7 5 10 15 11 6 6 8 9 8 6 6 8 7 3 5 7 5 4 4 4 4 6 9 11 11 15 20 19 14 10 5 6 6 4 2 -3 7 15 19 18 4 -3 5 11 12 12 14 16 14 10 8 7 7 9 16 15 7 5 6 5 5 5 5 5 6 6 5 3 2 1 1 3 4 5 6 7 7 7 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 2 2 2 2 3 3 3 4 7 10 11 12 14 15 15 12 8 6 6 5 5 5 4 3 2 1 1 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 1 1 1 2 2 3 4 3 5 8 8 6 4 4 3 3 3 2 3 3 3 3 3 4 5 6 6 6 5 5 5 4 3 3 6 14 20 13 7 10 10 8 7 6 5 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 5 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 5 5 6 5 3 3 3 4 5 7 9 11 12 12 11 10 7 5 4 4 5 6 7 7 7 6 6 7 8 9 8 8 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 6 6 6 6 5 5 5 4 5 6 7 6 6 7 8 11 13 12 9 6 5 4 5 5 5 5 4 3 2 2 3 4 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 4 5 6 6 6 7 8 7 5 2 1 1 1 2 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 7 9 13 14 13 11 10 9 8 8 6 5 4 3 3 2 2 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 8 11 11 9 6 6 7 7 6 6 7 10 13 6 -3 -3 0 2 2 2 3 4 4 4 4 5 5 5 4 5 6 7 9 14 14 11 10 9 10 12 10 8 6 3 0 4 11 11 6 1 -0 2 5 9 14 8 4 7 10 10 9 15 18 14 10 11 11 7 3 2 6 7 5 4 5 6 4 3 1 2 5 7 9 12 14 15 14 14 15 9 4 5 8 6 -2 -4 12 21 24 15 0 -1 11 18 20 22 22 19 14 10 8 6 6 9 15 14 7 4 5 5 6 5 5 5 5 5 5 5 3 1 1 2 3 4 6 7 7 7 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 3 3 4 4 4 5 5 5 5 4 4 2 2 2 2 3 3 3 5 8 10 11 10 10 11 11 10 7 6 5 5 5 4 3 2 2 2 2 3 4 4 4 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 6 6 5 6 5 4 4 5 4 4 3 3 3 3 3 3 2 1 1 1 1 1 2 3 3 4 5 5 6 8 7 6 4 3 1 0 0 0 2 3 3 3 3 4 5 5 6 6 6 5 4 4 3 3 4 10 19 14 5 7 10 9 8 7 6 5 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 4 5 5 6 7 7 6 5 5 6 4 3 2 2 2 4 6 7 10 11 12 13 12 9 7 5 4 5 5 6 6 6 6 6 6 6 7 8 7 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 6 6 6 5 5 5 5 5 6 6 7 6 5 4 5 9 13 15 13 9 7 6 6 8 10 10 7 4 2 2 3 3 4 5 4 4 5 6 6 6 5 4 4 4 4 4 4 4 4 5 6 6 6 7 6 5 3 2 2 3 3 3 3 3 3 4 4 4 4 3 3 4 5 6 6 5 5 5 8 10 11 10 10 9 9 10 10 8 6 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 5 5 6 8 9 6 6 7 7 7 7 8 9 12 13 6 -1 -0 2 3 3 3 3 4 4 5 5 5 4 4 5 6 8 11 15 17 14 10 10 9 9 10 9 10 12 9 3 1 2 5 6 4 2 2 2 5 9 1 2 8 11 9 9 16 21 17 12 9 7 7 4 3 5 6 5 6 6 5 4 3 3 5 8 9 9 12 13 10 8 11 14 10 3 1 3 2 -0 3 16 27 25 12 -1 2 12 18 22 23 19 13 10 9 8 7 6 8 13 15 9 4 5 5 5 5 5 5 5 4 5 5 4 3 1 2 3 4 6 7 7 6 4 4 4 5 5 5 5 5 4 5 4 4 5 4 4 3 3 4 4 5 5 5 5 4 4 3 3 2 2 3 4 4 4 6 8 9 9 8 8 7 7 6 5 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 1 2 2 3 3 5 6 6 7 8 8 6 4 2 -0 -5 -7 -6 -5 -4 0 2 3 3 3 4 5 6 7 7 7 5 4 3 3 4 9 18 15 7 4 8 9 9 9 8 6 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 6 7 6 5 4 4 4 4 4 4 5 6 6 7 6 6 6 5 4 4 5 5 7 7 7 6 6 6 5 4 3 2 2 3 5 6 7 9 10 11 12 11 9 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 6 5 5 5 4 4 5 6 8 7 6 4 3 4 6 9 12 12 11 9 8 10 14 16 13 8 4 2 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 4 4 4 4 3 3 2 3 3 4 4 4 4 4 4 4 5 6 6 6 5 6 6 7 7 7 7 8 10 13 12 9 6 4 3 3 4 5 5 5 4 4 5 5 5 5 5 4 4 3 3 4 4 3 3 3 4 4 4 5 6 8 9 7 7 7 6 7 8 9 9 11 8 4 1 2 3 4 4 4 4 5 5 5 5 5 6 7 9 11 14 17 19 17 11 7 7 5 6 7 5 6 10 10 8 5 3 3 3 4 5 6 6 7 2 -1 2 3 5 5 5 9 16 17 13 7 4 5 4 6 8 7 6 7 7 4 4 5 9 9 9 12 11 10 10 8 8 9 9 8 3 1 1 -1 -1 6 16 28 20 6 -0 6 12 15 17 16 11 7 7 8 8 7 6 9 16 18 10 4 5 5 5 5 5 5 5 5 4 4 4 3 2 3 4 5 6 6 6 4 4 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 3 4 4 4 5 5 5 4 4 3 3 2 3 4 4 4 4 6 7 7 7 7 7 6 5 5 5 5 5 5 5 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 3 4 5 6 7 8 9 7 4 0 -0 -1 -5 -9 -9 -8 -9 -7 -2 1 2 3 3 4 5 6 7 7 7 5 4 2 3 7 14 16 8 5 7 8 8 9 9 8 6 5 3 3 5 5 6 6 6 5 5 5 6 6 6 6 6 6 5 4 5 6 6 6 6 6 6 7 9 8 8 6 5 5 5 7 7 7 7 7 7 7 7 7 6 4 3 3 3 4 5 6 7 8 9 11 11 10 8 6 5 5 6 7 7 7 7 6 5 5 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 6 6 5 5 4 4 4 5 6 7 7 7 5 3 3 4 5 7 8 8 8 9 14 19 19 12 6 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 3 2 2 3 4 4 4 4 4 4 4 4 5 6 6 6 6 5 6 5 5 6 7 10 14 14 11 7 5 4 4 4 5 5 5 4 4 5 5 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 7 9 10 7 7 7 7 9 9 9 8 4 2 3 4 5 5 5 5 6 6 6 5 5 6 10 13 15 17 19 18 15 11 7 4 4 4 6 7 6 6 7 10 12 9 5 3 2 4 6 6 7 6 3 3 3 -0 0 1 2 2 8 10 7 4 4 4 6 8 9 7 6 6 7 6 5 7 11 9 11 15 13 10 10 11 11 9 4 4 6 6 3 2 7 11 17 22 12 3 4 11 14 14 14 12 8 6 6 7 7 6 6 10 15 10 2 2 5 5 5 6 6 5 5 4 4 4 4 4 3 3 5 6 6 5 4 4 4 4 4 4 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 4 5 5 5 6 7 6 6 6 6 5 5 5 5 6 6 6 6 5 4 4 4 5 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 5 7 8 9 7 1 -4 -2 1 2 -0 -2 -2 -5 -7 -4 1 2 2 2 3 4 5 6 7 8 7 4 2 2 4 9 11 7 6 6 6 8 8 9 8 7 6 5 5 6 6 7 7 6 5 5 6 6 6 6 5 5 5 5 5 6 7 8 8 7 6 6 8 10 10 8 6 5 5 7 9 11 10 7 7 7 7 8 8 7 5 4 4 4 4 4 5 6 7 8 10 11 10 8 7 6 6 6 7 8 8 9 8 7 6 5 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 6 5 6 6 5 5 5 4 4 5 5 6 6 5 4 4 4 4 4 5 5 6 9 15 18 15 8 3 3 4 5 4 3 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 6 5 5 4 3 3 3 4 4 5 5 4 4 4 4 4 4 5 6 6 7 6 6 6 6 6 7 9 11 12 10 7 5 5 4 5 5 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 12 11 6 7 9 10 10 9 10 7 3 2 4 5 5 5 6 6 6 6 6 5 6 12 16 17 16 17 16 13 9 6 5 6 6 6 7 8 9 6 5 9 14 10 4 2 2 3 4 5 6 5 4 5 6 5 3 -0 0 3 5 3 1 2 2 3 6 8 7 6 4 5 7 6 3 5 7 7 12 16 12 8 10 13 15 9 3 7 15 13 7 6 10 14 18 16 8 5 11 17 16 14 13 11 8 6 6 7 6 5 5 8 8 2 -0 4 7 6 5 5 6 5 4 4 4 5 4 4 3 4 5 6 6 5 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 4 4 3 4 4 5 5 5 5 5 4 3 3 2 3 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 6 6 5 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 5 8 10 8 -0 -10 -12 -3 5 5 5 4 1 -2 -3 1 2 2 2 2 3 4 5 7 8 7 5 3 3 3 5 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 8 7 6 6 6 6 6 6 5 4 4 4 5 6 8 9 10 10 8 6 7 8 10 10 8 6 5 5 7 10 12 12 10 7 7 7 7 7 7 7 6 5 4 4 4 4 5 7 8 9 9 9 8 7 6 6 6 7 7 8 9 9 9 8 7 6 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 7 7 7 6 7 7 6 6 5 4 4 4 5 5 5 5 5 5 5 4 5 5 7 12 14 10 5 4 4 5 6 5 3 3 3 5 6 6 6 5 5 5 5 5 4 4 4 4 4 5 6 5 4 4 4 4 5 6 6 6 5 5 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 5 6 6 7 7 7 6 7 7 8 8 8 7 6 5 4 4 4 5 5 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 8 12 10 6 8 11 13 13 12 10 5 3 3 4 5 5 6 6 6 6 6 6 6 11 17 16 12 12 12 11 7 6 7 9 10 10 10 9 10 10 4 -1 5 10 9 4 1 2 4 4 6 6 2 3 6 7 7 3 -1 1 7 7 6 3 2 1 2 5 6 6 5 3 4 6 5 2 2 3 4 9 11 7 4 6 12 17 10 8 18 26 21 14 12 10 13 15 11 7 9 17 21 16 12 10 8 7 6 7 6 5 4 4 6 5 3 4 8 13 11 6 5 5 5 5 4 4 4 4 3 3 5 6 7 6 5 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 3 3 3 3 4 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 6 9 9 2 -14 -24 -13 2 7 7 5 3 -2 -8 -4 2 3 3 3 2 3 4 6 7 8 7 5 3 3 4 6 7 7 6 6 7 8 9 9 8 8 7 8 8 8 7 6 6 5 6 7 6 5 4 3 4 5 6 8 10 12 12 11 8 7 6 7 8 8 6 5 5 6 6 8 10 11 10 9 8 8 7 7 7 8 8 7 5 4 3 4 4 5 7 8 9 9 8 7 6 6 6 6 6 6 7 8 9 10 10 10 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 10 10 10 10 9 9 9 9 8 7 6 5 5 4 4 4 5 5 6 7 7 7 7 7 10 11 7 4 4 5 6 6 6 4 4 4 5 7 7 7 7 6 6 5 5 5 4 4 4 4 6 7 7 6 5 4 4 5 5 5 5 4 4 4 4 3 3 4 5 6 5 6 5 5 5 4 4 4 4 5 5 6 6 6 7 7 7 7 6 5 5 4 3 4 4 4 5 5 4 4 4 4 4 5 5 6 6 5 6 6 6 6 5 5 4 5 5 5 5 5 8 11 9 7 9 12 15 16 14 7 1 2 3 4 4 5 5 6 6 6 6 6 9 15 17 11 9 9 10 8 6 7 10 12 12 11 11 11 11 10 3 -1 4 5 5 5 4 5 5 4 7 3 -0 3 7 5 3 0 -1 2 8 12 14 11 7 4 5 5 7 8 6 3 3 4 5 5 5 6 7 9 6 -0 -1 1 5 12 13 16 25 25 18 14 14 16 16 11 7 7 12 19 19 13 8 7 6 5 6 7 6 4 2 4 6 5 5 6 10 16 13 6 5 5 5 4 4 4 4 4 3 3 5 6 7 6 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 3 3 3 4 5 5 5 5 6 5 5 4 4 5 4 5 5 5 6 6 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 8 7 6 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 7 8 6 -5 -15 -11 1 7 7 5 4 1 -9 -12 -2 4 4 4 4 3 3 4 6 7 7 6 4 3 4 5 6 7 6 6 7 8 9 9 9 8 7 7 8 7 7 6 5 6 6 6 5 4 3 3 5 6 7 9 12 14 14 12 8 6 5 6 6 5 6 6 5 6 6 6 7 8 8 8 8 9 8 8 8 7 7 7 7 5 3 3 3 4 6 7 8 8 8 8 7 6 6 6 4 4 6 7 8 10 12 14 14 12 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 12 12 12 13 13 12 12 12 12 10 9 7 6 4 4 5 5 5 7 9 10 11 11 11 11 11 8 5 3 4 5 6 6 5 4 4 4 6 7 8 8 7 7 5 5 5 4 5 4 5 6 8 9 8 6 5 5 5 5 5 4 4 4 4 3 3 3 4 5 5 5 6 6 5 5 5 4 4 4 4 5 6 6 6 6 5 6 5 5 5 4 4 3 4 4 4 5 5 4 4 4 4 4 5 5 6 6 7 6 6 7 7 6 5 5 5 5 5 5 5 8 11 9 8 9 12 14 15 13 2 -1 2 5 5 4 4 5 5 5 5 6 7 11 14 12 8 7 7 8 8 8 11 13 13 11 10 8 8 10 9 4 4 5 5 3 5 7 7 7 8 10 7 3 3 3 2 2 1 1 4 9 16 17 13 10 9 7 5 6 7 6 3 2 3 5 7 8 8 9 8 1 -6 -5 -1 -1 6 13 19 24 18 11 9 12 16 15 8 5 7 13 18 16 10 6 7 7 6 6 7 5 2 1 4 6 5 5 8 11 16 14 7 5 5 5 5 5 4 4 4 4 4 5 6 6 5 5 4 4 5 5 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 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 7 6 4 3 3 3 3 2 3 3 4 4 3 3 3 3 4 4 4 4 5 5 6 8 11 7 1 -1 2 7 8 6 5 4 -2 -7 -1 3 5 5 5 5 4 5 5 6 7 7 5 4 5 5 6 6 6 6 8 8 6 7 10 9 8 7 7 7 7 6 6 6 6 5 4 4 4 4 5 7 8 10 13 15 14 11 7 5 5 5 5 5 6 6 6 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 5 3 2 3 5 6 7 7 7 7 7 7 7 7 6 5 6 6 6 8 11 14 16 16 14 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 11 12 13 13 12 12 12 12 13 12 10 8 6 6 6 6 7 8 10 11 13 14 14 14 13 10 6 3 3 4 5 5 5 4 4 4 5 7 8 8 8 7 6 5 5 5 5 5 6 7 9 10 10 8 7 6 6 5 4 4 4 4 3 3 3 3 4 4 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 5 5 5 5 5 5 7 12 15 12 9 10 10 12 11 7 0 0 4 5 5 4 4 5 5 5 6 6 7 10 11 8 6 5 5 7 9 11 14 16 15 14 10 6 6 7 8 4 5 6 6 5 5 6 7 9 11 12 8 7 6 4 2 2 2 3 7 13 18 15 9 8 7 5 4 4 4 3 2 2 3 5 8 8 8 8 7 3 -1 -0 1 -1 3 9 15 18 13 9 11 11 11 8 2 -0 6 14 17 14 8 7 9 9 7 6 7 5 1 1 6 7 5 5 8 11 18 16 8 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 4 4 4 5 5 5 4 4 3 4 4 4 3 3 3 4 4 5 5 4 4 3 2 2 2 4 5 5 4 3 4 5 5 5 5 5 4 4 3 3 4 4 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 7 5 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 5 5 5 6 7 11 12 10 7 5 5 7 6 6 5 5 2 -3 -1 4 5 6 7 7 7 6 5 5 7 6 6 5 5 5 6 6 6 6 8 11 8 5 7 9 9 8 8 7 7 7 6 5 5 4 4 4 4 5 5 7 8 10 12 14 12 9 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 8 7 7 8 7 7 5 3 3 4 4 5 6 6 5 5 6 6 5 6 8 6 4 3 4 7 10 13 14 13 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 10 11 12 11 9 8 9 11 12 12 12 11 9 8 8 8 8 8 9 9 11 12 13 14 15 13 10 5 3 3 4 5 5 4 4 4 5 7 8 9 9 8 7 6 5 6 6 6 6 7 9 10 10 10 8 7 6 5 4 4 4 3 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 8 8 7 6 5 5 5 6 6 8 14 21 20 14 9 7 7 8 4 1 1 3 4 4 4 4 4 4 5 5 6 6 7 8 7 6 5 5 6 7 8 11 13 15 17 16 13 7 5 8 8 4 3 4 5 5 5 5 6 9 11 8 7 10 11 9 7 4 3 5 9 15 17 13 9 6 5 4 4 2 1 1 1 3 3 4 6 6 6 8 10 11 12 12 6 1 1 7 11 8 6 7 10 11 9 3 -2 -0 8 14 14 11 7 8 10 9 6 7 8 4 2 3 6 6 5 5 7 14 21 18 8 5 6 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 5 5 4 3 3 2 1 2 4 5 6 4 3 4 5 5 5 5 4 4 3 4 3 3 4 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 7 6 6 4 3 3 3 3 4 4 5 4 4 4 4 4 4 4 5 5 6 6 6 9 10 9 8 8 8 8 6 4 4 5 6 6 -5 -8 3 6 6 8 9 9 8 6 5 5 6 5 5 5 6 6 6 6 6 6 10 10 6 5 7 8 8 8 8 8 7 6 5 4 4 4 5 5 5 5 7 9 10 12 11 9 7 5 5 5 5 6 7 7 7 7 7 7 7 7 7 6 7 8 8 9 9 9 9 9 8 8 7 6 6 5 4 4 3 3 4 5 5 5 6 5 4 4 5 7 6 2 2 4 5 7 9 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 9 11 11 8 6 5 6 7 9 11 12 11 11 10 9 9 8 8 7 7 8 8 9 11 14 15 13 10 7 5 4 4 5 5 5 5 6 7 8 8 8 8 7 7 7 6 6 7 6 6 8 10 10 9 7 7 6 5 5 4 4 4 4 4 4 3 4 5 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 3 3 3 4 5 5 6 6 6 6 8 8 7 6 5 5 5 7 10 15 22 28 24 13 8 4 5 5 -1 -3 1 3 3 3 3 4 4 5 5 5 5 6 7 7 6 6 7 7 7 6 5 6 8 10 12 14 13 9 6 8 6 5 4 4 4 4 5 6 7 7 7 5 7 11 9 9 9 7 6 6 10 15 14 10 9 7 6 6 3 -0 -0 3 3 4 4 7 7 5 6 12 17 17 17 17 9 1 -1 4 8 3 1 4 9 9 7 2 2 9 15 14 10 8 7 8 9 7 6 7 9 5 3 4 5 4 5 6 10 20 23 14 5 4 5 6 7 7 7 6 5 5 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 2 2 2 3 6 6 5 3 3 4 4 5 4 4 4 4 3 3 4 4 4 5 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 7 8 8 7 7 5 4 3 3 3 3 4 5 5 5 4 5 5 5 5 5 5 6 6 7 7 8 8 7 8 10 12 11 5 3 4 5 6 7 1 -3 2 5 6 7 8 9 9 8 6 5 6 5 5 5 6 6 6 6 5 6 7 6 2 4 5 5 5 6 7 7 7 6 4 4 4 5 5 5 5 6 7 9 10 11 10 8 6 6 6 6 6 7 7 7 7 6 6 6 7 7 6 6 6 7 7 8 8 10 10 10 10 9 8 6 6 6 4 4 4 4 4 4 4 5 7 6 4 4 4 7 7 5 4 4 4 5 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 10 10 8 6 5 4 4 6 8 10 11 10 10 9 9 9 8 7 7 6 6 6 8 11 14 15 15 12 9 7 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 9 9 8 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 3 4 3 3 3 4 4 5 6 6 6 6 6 7 7 7 6 5 5 8 11 15 19 22 25 23 15 10 8 8 3 -3 -2 1 2 3 3 4 4 5 5 5 6 5 5 6 7 9 10 10 7 7 7 4 2 4 5 6 9 11 10 9 6 4 7 6 7 6 5 5 6 7 5 3 4 7 8 9 9 10 9 8 8 10 12 11 8 7 7 7 7 5 2 2 5 5 3 7 15 12 7 8 17 21 13 3 -1 -1 3 4 4 7 7 7 6 7 4 5 6 14 23 21 13 8 7 8 8 7 7 7 10 9 6 4 5 4 4 5 8 16 24 19 7 3 4 5 7 7 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 5 4 4 4 4 5 4 3 4 4 5 5 4 5 5 4 4 4 2 1 1 3 6 6 5 4 3 4 4 4 5 4 4 4 3 4 4 4 4 5 6 7 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 7 7 8 8 8 8 7 5 4 4 4 4 4 5 5 5 6 6 5 6 6 6 6 6 6 6 7 9 11 11 8 8 12 16 12 4 3 5 5 6 5 0 -1 3 5 5 5 6 7 7 7 7 5 4 5 5 5 6 6 6 6 5 6 8 8 -1 -1 4 4 4 5 5 6 6 6 5 4 5 4 5 5 5 6 7 9 11 11 10 8 7 7 6 6 6 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 8 9 10 10 10 10 9 8 7 6 6 6 6 4 4 5 6 7 8 7 6 7 7 5 3 4 4 3 4 6 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 8 8 8 7 5 4 3 5 6 8 9 9 9 10 10 10 10 9 8 8 7 7 7 8 11 14 16 14 12 10 8 7 7 7 8 7 7 7 6 7 7 7 7 6 7 7 7 6 6 8 9 8 7 6 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 3 4 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 5 5 9 13 16 17 16 14 14 18 19 18 16 10 2 -1 1 3 3 3 4 5 5 5 5 6 5 5 5 7 10 14 14 10 6 9 10 7 4 3 4 4 6 8 11 9 6 8 9 8 9 8 5 4 5 5 4 4 7 8 6 8 7 8 10 11 11 11 10 8 6 4 5 6 6 5 5 5 5 6 3 10 17 15 11 12 17 16 5 -4 -5 -2 6 11 8 5 9 11 8 6 6 5 13 24 28 20 10 6 6 8 8 7 7 9 10 8 5 4 4 5 4 6 11 20 24 14 3 2 4 5 6 7 7 7 6 5 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 4 5 4 3 3 4 5 4 4 5 4 4 5 4 2 1 1 4 6 7 6 5 4 3 4 4 4 5 5 4 3 4 4 4 5 5 6 7 8 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 8 9 8 8 7 7 6 5 5 5 4 5 6 6 6 6 6 7 7 7 7 7 7 7 7 9 13 16 14 9 7 14 18 9 3 4 5 6 6 5 -2 -8 -1 5 5 5 5 5 5 6 8 6 2 3 3 3 3 4 5 6 5 6 8 12 5 -1 4 4 5 4 5 6 6 6 5 5 4 4 4 5 6 7 9 10 11 11 10 10 9 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 7 9 10 11 11 10 10 9 8 7 6 5 4 5 6 7 8 8 6 6 6 4 3 2 3 3 3 4 6 8 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 7 7 7 7 6 5 4 4 5 6 7 8 9 10 11 11 11 10 10 9 9 8 7 7 8 11 12 13 12 11 10 9 8 9 9 8 7 7 7 7 8 8 7 6 6 7 7 7 8 8 9 8 6 5 5 5 4 3 3 3 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 4 5 5 5 5 5 6 7 9 10 11 15 20 20 16 13 14 12 9 13 20 20 15 6 -1 0 3 3 4 4 5 5 6 5 6 5 5 6 10 13 16 17 14 9 6 8 9 9 5 3 3 4 5 6 8 8 8 9 8 9 7 4 3 5 6 5 5 6 6 5 3 2 2 4 8 11 13 12 9 6 4 2 3 4 3 4 5 4 4 5 3 11 14 12 11 12 11 10 6 5 9 11 11 8 4 3 6 4 5 6 8 10 17 23 21 14 8 6 7 8 7 7 8 9 8 6 3 3 4 5 6 8 13 22 22 10 2 3 4 5 6 7 7 7 6 6 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 2 2 3 6 8 8 7 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 7 7 8 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 8 8 8 8 7 6 5 5 5 6 6 7 7 7 7 7 7 7 8 7 8 8 8 9 12 16 17 13 8 8 16 15 6 5 6 6 6 6 6 1 -8 -4 4 5 5 4 4 5 6 9 10 5 3 2 2 2 0 2 5 6 7 7 8 9 4 4 5 5 5 5 6 7 7 7 6 5 5 5 6 7 8 9 9 9 9 9 10 9 9 8 7 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 9 10 12 12 13 12 10 7 6 5 5 5 6 7 7 6 6 6 6 5 5 4 4 3 3 5 7 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 6 6 7 7 6 6 5 5 5 6 6 8 9 10 10 10 10 9 9 8 8 8 7 7 8 9 10 11 11 11 10 9 9 8 8 8 8 9 9 10 9 7 6 7 7 7 7 8 9 8 7 6 5 5 5 4 3 3 4 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 5 6 6 6 6 5 5 4 4 4 5 5 5 4 3 3 3 3 4 5 5 5 5 6 11 18 22 24 28 31 28 21 12 9 13 17 15 16 17 13 6 1 -1 1 3 3 3 4 5 5 5 5 5 6 7 12 17 19 18 14 11 9 6 7 9 11 8 4 3 3 4 5 4 4 4 2 3 5 2 0 1 4 6 4 3 2 0 -1 -2 -3 -0 1 4 7 11 12 11 8 4 3 4 4 4 4 3 2 3 4 4 8 7 5 8 9 7 8 12 16 16 14 9 1 -2 4 6 2 3 7 10 11 15 16 13 9 6 7 8 7 7 8 8 8 7 5 4 3 5 6 8 8 13 20 19 7 2 4 4 5 7 7 8 7 7 6 5 5 5 4 4 4 4 5 6 5 5 5 4 5 5 5 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 3 3 5 8 9 9 7 6 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 6 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 6 6 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 9 11 14 15 13 9 7 12 17 13 8 9 12 9 6 5 6 3 -1 0 4 5 5 5 5 5 5 8 12 12 10 8 7 7 5 3 4 6 7 9 7 6 6 6 5 5 5 6 7 7 7 8 7 7 6 7 7 8 9 9 8 7 7 7 8 8 8 8 7 7 6 5 5 5 5 5 6 6 6 6 5 6 6 5 6 5 5 5 5 6 6 8 8 9 11 14 15 12 10 8 7 6 5 5 6 7 7 8 9 8 7 7 6 5 3 3 4 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 5 5 5 6 6 6 6 5 4 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 8 9 9 10 11 12 11 8 6 6 8 8 8 8 8 7 6 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 5 4 4 4 3 3 4 5 5 4 5 8 16 24 30 33 34 34 30 23 18 12 8 12 17 19 16 11 6 3 1 -0 2 2 2 2 3 4 4 5 5 6 7 12 17 19 16 13 9 8 9 9 9 11 14 13 8 4 2 2 2 1 1 3 1 1 -0 1 3 4 4 5 3 1 0 -2 -5 -5 -4 -2 1 2 4 6 8 11 13 10 7 7 7 7 6 3 1 1 2 3 5 9 7 3 4 6 8 15 19 18 11 1 -3 3 7 5 4 5 7 12 14 16 15 10 6 7 9 9 7 7 8 8 7 6 5 4 5 6 8 9 9 12 19 18 8 3 4 4 6 7 7 7 7 7 6 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 4 4 4 4 3 2 2 3 5 6 6 5 6 6 6 5 4 4 7 9 9 8 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 6 7 7 6 6 6 6 6 7 7 7 7 9 12 14 15 15 11 7 9 15 16 12 10 14 16 14 8 5 5 4 4 4 5 6 5 5 5 5 6 6 8 10 12 12 12 12 11 8 5 6 7 9 8 5 6 6 5 5 6 7 7 7 8 9 8 8 8 8 8 9 9 7 6 6 5 5 5 5 6 7 7 6 6 6 7 6 6 6 6 7 7 7 6 6 7 6 6 7 7 6 5 5 6 7 8 8 9 12 13 14 12 11 9 8 7 6 6 6 7 7 9 9 8 8 7 6 4 4 4 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 5 5 5 5 6 6 6 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 8 8 7 7 7 7 8 10 12 13 11 9 7 6 8 9 8 8 8 8 7 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 4 4 4 4 3 3 4 4 4 5 5 10 20 29 30 27 22 18 15 11 12 14 15 14 12 11 12 9 6 5 3 1 1 2 1 1 2 3 3 4 4 5 8 12 16 17 14 11 8 6 5 7 9 9 11 17 18 12 6 3 4 3 1 3 4 4 2 -1 3 6 6 4 4 2 2 3 2 -0 -2 -1 1 3 4 4 3 3 11 18 14 10 9 9 9 7 4 1 0 1 4 6 9 5 -4 -3 6 9 12 13 11 10 9 9 10 8 5 5 8 12 14 18 20 15 8 7 9 9 8 7 7 8 8 6 6 5 5 5 7 9 9 10 12 17 18 9 4 5 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 2 2 2 4 5 7 7 6 6 6 6 5 5 5 7 8 8 7 6 6 6 6 5 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 6 6 6 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 8 12 16 16 16 15 11 9 10 12 10 8 8 9 10 12 10 7 5 5 5 4 6 6 6 6 6 6 6 6 6 7 8 9 10 11 10 8 8 6 6 7 7 6 5 5 6 6 7 8 9 9 8 8 8 8 8 8 9 8 8 7 6 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 8 9 11 12 13 12 12 11 9 8 7 7 6 6 7 7 8 8 8 8 6 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 5 6 6 5 5 6 7 6 7 8 9 9 9 8 8 7 7 7 6 6 6 6 8 8 6 5 5 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 8 9 10 10 10 10 10 12 12 11 10 9 9 9 8 8 8 8 7 5 3 2 3 4 5 6 6 5 5 5 5 6 6 7 8 8 7 6 5 5 5 6 8 9 8 6 5 5 7 8 10 11 10 8 6 4 2 1 2 2 1 1 3 4 5 6 5 4 8 13 16 17 14 10 15 23 22 16 11 8 5 3 2 2 1 2 3 3 5 7 8 9 9 7 6 7 7 7 7 7 8 8 8 6 4 6 8 9 8 6 5 5 5 6 7 7 8 9 10 9 7 3 4 5 5 4 5 7 9 11 12 15 15 12 7 7 9 10 8 6 6 7 6 8 10 8 7 7 3 -1 -1 -1 3 6 7 4 2 2 5 8 11 11 10 8 6 6 7 7 7 6 6 6 7 6 6 4 3 6 7 8 8 6 6 9 13 13 11 9 9 8 7 5 6 8 8 7 10 12 9 9 8 5 4 4 3 3 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 7 7 6 5 5 5 7 8 7 6 5 6 6 7 7 7 6 5 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 6 7 8 8 8 7 6 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 5 5 4 5 9 13 13 11 10 15 19 13 6 5 5 5 5 6 5 5 7 11 12 9 8 7 6 5 5 5 5 6 6 7 7 7 6 6 4 4 5 5 6 6 7 8 6 5 4 3 3 4 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 5 5 6 5 5 6 6 6 6 7 7 6 6 6 8 9 9 9 9 10 12 11 8 7 8 7 6 5 4 4 5 6 6 7 7 8 8 9 10 11 10 10 10 10 11 11 12 11 11 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 8 8 7 4 2 2 3 5 6 7 8 8 8 8 8 8 8 9 9 8 6 6 7 7 7 6 6 6 5 5 4 4 4 3 4 5 5 6 8 10 11 10 10 9 10 11 11 10 10 11 11 11 10 9 8 7 6 5 4 5 5 5 5 5 4 4 5 6 6 6 7 7 7 6 5 6 7 8 7 7 6 5 5 5 5 6 6 6 6 8 9 10 10 9 7 6 5 5 5 7 6 5 5 5 5 4 5 6 5 5 12 18 19 13 9 21 26 17 6 0 -1 0 1 2 2 2 3 4 4 5 5 7 10 12 11 9 6 5 7 9 9 10 9 8 8 6 5 6 5 4 4 3 4 6 7 10 10 6 4 2 2 6 9 9 8 7 9 9 8 7 9 10 9 8 8 8 8 8 6 5 6 9 10 9 9 11 13 11 8 8 10 6 2 7 8 4 2 2 2 3 6 8 9 10 10 10 8 8 9 11 11 8 6 6 8 8 6 6 7 8 8 7 5 5 7 10 10 9 9 9 8 10 10 8 7 6 6 6 6 6 10 14 10 4 7 10 5 2 2 4 6 6 6 6 6 5 5 6 6 7 7 8 8 7 7 5 5 5 5 5 5 6 7 7 7 5 4 4 4 5 7 8 9 8 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 7 8 8 8 6 5 4 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 5 5 4 4 4 7 12 12 11 14 19 16 8 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 4 4 4 4 5 5 7 8 6 4 3 4 5 5 5 6 7 6 7 7 6 6 6 6 7 7 7 7 7 8 7 7 7 6 6 6 6 6 6 5 5 5 5 6 5 5 5 4 3 4 5 6 7 7 6 6 6 7 9 9 9 10 11 12 11 10 9 8 8 7 7 5 4 3 4 5 6 6 6 7 8 8 9 10 11 11 11 12 12 12 11 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 6 4 3 5 7 8 8 8 7 7 8 7 7 8 9 8 8 7 6 7 9 9 8 6 5 4 3 3 3 2 4 5 6 7 7 8 10 11 12 12 11 10 11 11 10 9 9 10 10 9 9 8 7 6 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 6 8 8 8 6 5 4 4 4 5 6 7 7 8 8 9 8 8 7 6 5 5 6 7 7 6 5 5 5 5 4 5 4 3 4 10 13 10 7 10 20 19 7 1 1 2 4 5 5 4 3 4 5 6 7 6 5 7 10 10 10 9 8 8 9 9 10 10 8 8 9 7 7 8 6 6 5 5 5 6 6 7 8 8 5 3 6 9 10 8 7 9 9 7 6 7 8 8 9 8 9 13 13 9 6 7 10 9 7 8 13 16 13 9 7 10 9 6 8 5 1 3 3 1 3 8 9 9 10 10 8 7 8 10 11 10 8 7 7 9 8 7 7 7 8 8 6 6 8 9 10 9 9 8 7 7 10 11 8 6 5 5 5 5 6 8 10 8 8 14 15 7 1 1 4 5 5 6 6 6 5 5 6 7 7 7 8 8 7 6 5 5 5 5 5 5 5 6 7 6 5 4 4 5 6 7 9 9 9 7 6 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 4 5 5 4 4 4 4 4 4 4 5 7 7 8 7 5 5 4 3 3 3 3 2 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 3 6 12 14 13 16 17 14 10 7 6 5 5 5 5 5 6 7 4 1 4 5 5 5 6 6 7 7 7 7 6 7 6 6 6 5 5 6 6 6 6 6 7 5 3 3 4 5 6 6 7 7 8 7 7 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 6 5 5 5 7 7 8 7 6 6 6 8 9 9 9 9 11 11 11 10 9 8 8 7 6 4 4 3 4 4 5 6 6 7 7 8 10 11 11 12 12 12 12 13 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 8 7 7 8 9 9 8 7 7 7 8 8 9 9 9 9 8 7 7 8 10 9 7 5 4 2 2 3 3 4 6 8 8 8 7 8 10 12 13 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 9 9 10 9 9 9 8 8 6 6 6 6 6 6 5 5 6 7 8 8 8 7 6 5 5 5 5 6 7 8 8 8 8 7 6 5 5 5 5 6 6 6 5 4 3 4 4 4 6 8 6 4 3 9 12 9 7 10 7 1 -6 -6 -2 3 8 12 11 6 4 5 6 7 8 7 4 4 6 7 9 10 9 9 9 8 8 9 8 8 9 9 8 9 10 9 7 6 6 7 4 3 6 9 9 9 9 9 8 5 5 6 8 7 6 5 4 4 6 8 12 15 14 11 9 9 7 6 5 7 13 16 13 9 8 10 9 7 8 5 5 9 6 2 5 7 7 8 9 8 5 6 8 9 9 8 7 7 8 9 7 7 7 7 9 8 6 7 8 9 9 8 7 7 7 6 9 10 8 6 6 5 5 4 5 7 8 10 12 11 6 2 -0 2 4 6 7 6 6 6 6 6 6 7 7 7 8 8 7 7 5 4 4 5 5 5 5 7 7 7 5 5 5 6 7 8 9 9 8 7 6 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 4 4 4 5 6 8 8 7 5 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 6 13 17 15 15 13 11 9 8 7 5 5 4 5 6 7 11 12 6 5 5 5 6 6 7 7 7 7 6 6 6 7 7 6 6 7 10 11 10 7 6 5 3 3 3 5 6 6 7 8 8 8 7 7 6 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 6 6 7 7 6 6 5 5 6 7 7 8 8 7 6 6 7 8 9 9 8 8 9 11 12 12 10 9 8 7 6 5 3 3 3 3 5 6 6 6 7 9 10 11 12 12 12 12 13 14 14 12 nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 8 9 10 11 11 10 9 8 8 7 7 9 10 11 11 10 10 9 8 7 8 9 8 6 3 2 2 4 5 6 8 9 10 9 8 7 7 11 13 14 14 13 13 12 10 8 7 7 6 6 6 6 8 9 10 11 12 13 13 13 13 12 11 8 7 6 6 6 6 6 6 8 9 10 10 9 8 7 7 7 8 9 9 9 8 7 7 6 6 6 6 5 6 6 5 5 5 4 3 3 4 5 6 10 12 10 6 5 6 6 4 2 -3 -13 -18 -19 -17 -7 3 10 15 14 10 6 6 7 8 8 8 6 5 5 6 8 9 9 8 8 7 6 8 10 8 7 8 7 8 9 9 8 7 9 9 5 6 7 8 10 10 9 6 4 3 3 4 5 8 9 6 6 5 5 7 9 9 10 11 11 9 5 4 5 7 11 13 11 8 8 10 7 5 5 6 12 13 7 4 6 6 4 5 6 6 6 8 8 7 7 7 8 8 8 8 7 6 7 9 9 8 5 5 8 9 8 7 7 7 7 7 7 9 8 7 6 6 5 4 5 7 8 8 8 6 2 1 3 5 6 9 11 7 5 6 6 6 6 6 7 7 8 8 7 6 5 5 4 4 4 5 6 7 8 7 5 5 6 6 8 9 9 8 8 6 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 5 6 7 8 7 5 4 3 3 3 2 2 2 3 2 3 3 3 3 3 3 3 3 4 4 3 3 3 3 6 15 18 15 14 11 8 7 6 5 5 5 5 6 6 9 16 14 8 5 5 6 6 6 7 7 7 6 5 5 6 7 7 5 6 9 15 18 14 8 5 3 3 3 5 6 7 8 9 9 9 8 6 6 5 5 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 5 6 7 7 7 7 6 6 6 6 7 9 9 8 7 7 8 11 13 13 11 9 8 6 5 5 4 3 4 4 5 5 5 6 8 8 10 11 11 12 12 13 14 14 14 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 7 10 16 20 20 18 14 11 10 11 11 13 16 13 10 8 7 5 5 8 8 10 11 13 14 15 15 13 9 9 10 13 14 15 15 15 14 13 11 11 12 12 11 11 12 12 12 13 13 13 13 12 13 13 12 12 11 11 10 9 10 11 11 11 12 14 16 17 16 14 13 10 8 8 9 10 10 11 12 13 14 16 16 15 13 12 11 11 11 12 12 12 11 10 10 10 10 12 13 15 15 14 14 13 13 14 13 13 13 13 12 12 13 13 14 13 12 11 10 9 10 11 12 13 13 14 13 11 11 12 14 14 13 12 12 12 11 12 12 11 12 12 12 12 11 12 13 13 13 12 12 12 11 10 11 12 12 12 12 12 12 11 12 13 12 12 13 13 12 12 11 11 11 11 12 12 11 10 9 9 13 19 21 17 14 13 12 12 11 11 11 12 12 13 14 13 12 11 10 11 12 11 11 12 13 14 14 14 13 12 12 12 11 11 11 12 14 14 14 13 11 12 11 12 14 14 13 13 13 12 13 14 15 14 14 14 13 12 10 9 8 8 10 14 16 14 13 13 12 11 11 12 13 13 12 12 12 12 13 12 13 13 13 13 13 12 12 13 13 12 10 10 11 10 10 11 11 11 11 10 10 11 11 11 11 12 12 11 11 11 11 12 13 13 13 14 14 15 15 11 7 7 7 7 8 9 8 8 8 9 9 8 9 9 8 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 13 13 14 14 14 13 13 13 13 12 10 7 5 5 8 11 13 13 11 9 9 11 11 11 11 10 11 11 12 13 16 17 16 14 11 9 9 10 9 9 10 11 11 13 15 18 19 19 17 17 16 17 17 15 14 13 12 12 13 13 13 12 13 13 14 15 15 13 13 13 14 14 14 14 13 13 14 15 15 15 14 14 13 13 14 17 19 19 16 12 10 11 11 11 11 13 13 14 13 12 11 11 12 13 13 13 13 13 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 5 7 9 12 16 15 11 8 9 12 14 10 4 7 9 12 14 15 15 13 10 7 8 11 13 14 15 15 14 14 14 13 13 13 13 14 13 14 14 13 13 13 12 12 12 12 13 13 13 12 11 11 11 11 12 12 12 13 15 18 19 19 16 13 10 8 9 9 9 10 10 11 12 14 15 15 13 12 11 11 11 12 13 13 13 12 11 10 9 11 12 14 15 15 15 14 13 13 13 13 13 13 12 12 12 12 12 13 14 13 11 11 10 10 11 12 13 13 13 12 11 11 12 13 14 14 13 12 11 11 13 12 12 12 12 11 11 11 12 13 12 12 12 11 11 11 10 11 11 11 12 13 12 12 12 12 12 12 12 13 13 13 13 11 10 10 11 12 12 11 10 8 5 7 15 21 22 20 16 13 12 12 12 11 11 12 12 13 13 13 13 13 11 11 10 11 11 12 13 13 13 13 13 12 12 12 11 10 10 12 14 15 13 12 10 10 9 11 14 14 14 13 11 10 12 14 13 13 14 14 14 14 13 10 8 8 11 14 15 15 15 14 11 10 11 12 12 12 12 13 12 12 12 12 12 12 13 12 12 12 13 13 12 12 11 11 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 15 13 12 13 11 8 7 7 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 10 10 11 11 11 12 12 11 11 11 12 12 12 11 11 11 11 12 12 12 12 11 12 12 12 13 13 13 13 12 13 13 13 13 13 13 13 12 13 13 13 14 14 13 10 7 4 3 5 9 12 14 13 11 9 7 10 12 12 11 10 10 10 11 13 15 18 18 14 10 8 9 10 10 11 11 11 11 12 12 13 13 14 14 14 15 16 16 15 15 14 14 13 13 13 14 13 13 13 13 15 15 14 13 12 13 15 15 15 14 13 13 13 15 15 14 14 14 14 14 16 17 18 16 13 11 11 13 13 12 12 13 13 12 11 11 12 12 13 12 12 13 13 13 13 13 13 12 12 12 12 12 13 14 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 11 11 13 14 7 3 7 11 13 13 13 10 8 8 10 13 15 16 16 16 14 13 13 12 13 13 14 14 14 13 14 14 14 13 13 12 12 12 12 13 14 15 14 13 12 12 13 14 15 15 16 19 21 21 20 16 11 9 8 9 9 9 9 10 10 11 13 14 14 13 12 11 11 12 13 13 14 13 12 11 10 11 11 13 14 15 14 14 13 13 13 13 13 13 12 11 11 11 11 11 11 12 12 12 11 12 12 12 12 13 13 13 12 11 10 11 13 13 13 13 12 12 11 12 12 12 12 12 12 12 11 12 12 12 13 12 11 11 10 11 11 11 11 12 13 12 12 12 12 11 12 12 12 13 13 13 12 12 11 11 11 11 11 11 10 7 6 8 13 18 21 22 18 14 12 12 12 12 12 12 12 12 13 14 14 12 11 10 10 11 12 12 11 12 13 14 14 13 12 13 12 11 12 13 13 13 13 12 10 9 10 13 14 14 13 12 10 12 13 12 12 12 12 13 15 16 14 10 9 8 10 12 13 14 14 13 12 11 12 12 12 12 13 14 13 12 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 12 11 11 11 11 12 11 11 12 13 13 13 13 13 13 13 11 8 8 9 9 8 8 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 11 11 11 11 12 11 11 12 11 11 12 12 12 12 11 11 12 12 13 13 13 13 12 13 13 13 13 13 13 13 13 13 14 15 15 15 13 10 8 8 10 13 14 15 14 12 9 9 9 11 12 12 11 11 11 11 12 13 15 17 15 11 8 8 10 11 11 11 11 12 12 12 12 12 13 14 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 14 14 15 13 12 13 15 15 15 15 13 12 12 13 13 14 14 14 14 15 16 16 16 17 15 12 12 13 14 12 12 12 13 13 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 11 11 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 15 13 10 9 12 16 18 18 17 16 15 13 12 11 12 12 12 12 13 13 13 14 15 15 13 13 13 11 11 11 12 13 14 13 13 13 14 14 16 18 21 23 24 24 22 18 13 9 8 8 8 9 9 10 10 10 11 13 14 13 13 12 12 12 13 13 14 14 13 13 13 12 12 12 13 13 14 14 13 12 12 12 13 13 13 12 11 10 10 10 10 11 11 11 11 11 12 12 12 12 13 13 12 12 11 11 11 12 13 13 13 12 12 12 12 12 12 12 12 11 12 12 12 12 13 14 13 12 12 11 11 11 12 12 12 13 12 12 13 12 12 12 12 12 12 12 12 13 12 12 11 10 10 11 11 13 12 8 6 6 10 15 23 24 16 13 12 13 12 12 12 12 12 13 13 13 13 12 11 11 11 12 12 10 10 12 13 15 13 12 14 13 13 13 13 12 11 11 11 11 11 11 12 13 13 13 11 11 12 12 12 12 11 11 11 13 15 15 12 10 9 8 9 10 12 14 13 12 11 12 12 12 12 13 14 13 12 11 12 13 12 12 12 12 13 12 12 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 13 13 12 13 13 13 14 14 13 11 9 8 9 10 11 10 10 9 10 9 8 8 8 8 9 8 9 9 9 9 9 10 10 11 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 13 13 13 12 13 13 13 13 14 13 12 13 12 13 15 16 16 15 13 13 12 11 12 15 15 15 14 11 10 10 10 11 11 12 12 11 10 11 12 13 14 16 15 13 11 9 9 10 11 11 11 12 12 12 12 13 13 13 14 15 14 14 14 13 14 14 14 14 13 13 13 13 14 14 15 16 16 15 13 12 14 15 16 15 13 12 12 13 13 14 14 14 14 13 14 16 16 16 16 15 14 13 12 13 12 12 13 13 12 11 11 12 12 12 13 13 14 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 13 12 10 10 11 12 12 12 13 14 14 14 14 15 14 15 14 13 12 12 11 11 11 11 12 13 13 14 14 16 20 24 27 27 23 18 13 9 8 8 8 9 10 10 11 10 10 12 13 14 13 13 12 12 13 14 14 14 14 14 13 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 12 12 12 11 12 12 11 11 11 12 13 14 14 14 14 13 12 12 12 11 11 12 12 13 12 12 13 12 12 12 12 13 12 12 13 13 12 12 12 11 10 10 11 12 13 12 10 7 5 8 20 27 20 16 14 12 12 12 11 12 12 12 13 14 13 13 13 12 12 13 13 10 8 7 10 15 13 11 12 13 14 15 15 13 11 9 9 11 11 12 12 12 13 12 11 11 11 11 12 12 12 11 11 11 13 13 12 12 11 10 9 9 10 12 12 13 12 12 12 13 12 13 14 14 14 13 13 13 14 14 14 13 12 12 12 12 13 13 12 12 12 12 11 12 13 14 15 16 16 17 17 17 17 17 17 16 15 14 13 11 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 13 14 14 13 13 13 13 14 16 14 12 10 10 11 12 12 13 15 15 13 11 10 10 11 11 11 11 11 11 10 11 11 12 13 15 17 17 15 12 10 10 10 11 11 12 12 12 13 12 12 12 12 12 13 13 13 13 13 12 13 13 13 14 14 14 14 14 15 15 15 15 14 13 13 15 15 15 13 11 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 12 11 11 12 12 12 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 5 4 4 4 4 4 3 3 4 5 9 16 23 26 28 31 32 32 32 31 28 25 20 15 10 8 9 9 10 9 7 5 4 2 2 2 1 0 0 0 0 1 6 9 10 7 5 4 3 3 4 4 5 4 4 4 4 3 3 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 17 6 3 15 23 20 16 17 20 20 20 18 18 24 27 25 22 21 20 20 20 20 24 39 35 25 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 19 20 23 34 55 82 107 126 125 102 64 38 35 40 42 45 53 29 0 0 0 0 0 0 0 0 0 0 0 8 11 18 36 54 74 86 84 78 75 70 63 58 52 48 51 65 72 71 80 104 122 126 131 143 158 167 165 156 146 133 123 127 139 159 173 168 153 138 125 121 126 134 137 138 145 155 164 172 172 165 147 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 5 4 4 4 3 3 3 3 3 3 8 14 21 27 30 31 33 35 34 30 24 18 14 12 11 11 12 13 13 12 9 7 6 5 4 3 2 1 0 1 5 8 9 7 4 3 3 3 4 4 4 4 4 4 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 5 9 7 2 2 14 24 23 20 18 17 16 14 11 12 17 23 24 22 20 20 18 12 10 15 24 28 22 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 12 17 26 47 76 101 108 93 70 43 20 6 9 7 5 9 2 0 0 0 0 0 0 0 0 1 1 0 1 1 2 8 22 51 70 78 81 80 77 72 67 64 63 65 71 74 76 89 104 110 115 120 128 143 155 160 156 147 133 124 126 133 149 163 168 160 144 129 123 125 133 138 140 148 158 162 165 162 160 156 149 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 4 4 4 4 3 3 3 3 3 3 5 10 16 21 26 31 34 36 33 28 22 17 14 13 14 16 19 21 20 16 12 11 11 10 9 8 4 0 1 3 6 8 6 4 3 3 3 3 4 4 4 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 3 6 2 0 0 4 14 19 19 16 12 9 7 6 6 9 14 18 17 14 10 7 2 0 3 9 14 14 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 1 1 0 2 5 11 18 40 73 87 78 62 54 45 28 10 7 3 2 2 1 0 1 1 0 0 0 0 0 4 3 1 0 0 0 1 9 42 73 83 87 86 84 82 80 78 76 76 77 78 81 88 97 107 113 114 119 128 139 147 148 143 133 128 124 119 124 145 163 162 152 141 132 129 131 136 138 144 155 159 156 150 145 146 149 151 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 nan nan 5 5 4 4 4 4 4 4 4 4 3 2 1 1 2 3 5 9 15 21 26 32 34 32 28 24 19 16 17 18 21 24 24 20 16 14 15 16 15 13 8 3 1 1 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 7 6 5 6 6 6 6 7 8 8 7 5 4 2 0 0 0 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 6 3 1 0 0 10 34 60 62 51 44 45 42 31 18 7 3 4 7 10 7 7 9 4 0 0 0 0 3 5 3 0 0 3 17 45 75 101 100 96 92 88 88 91 91 87 83 82 81 80 85 93 103 110 113 116 121 127 132 136 137 134 129 120 112 113 127 145 153 152 146 139 133 133 137 139 140 148 152 147 138 132 131 134 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 6 5 4 4 4 4 4 4 4 3 3 2 1 1 0 1 2 5 8 11 14 17 20 23 25 24 20 19 18 19 21 22 18 17 15 15 16 15 13 9 4 1 0 1 2 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 1 4 5 5 5 5 5 6 6 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 21 11 4 0 0 7 28 40 38 33 30 28 27 23 14 4 1 6 14 20 24 25 26 21 10 2 0 0 6 19 30 27 11 16 50 87 100 112 104 97 92 90 92 98 101 97 92 85 82 79 81 88 97 105 111 115 120 123 123 126 130 130 124 113 105 106 117 130 138 142 143 140 134 134 138 140 140 142 144 138 129 123 118 115 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 7 6 5 4 4 4 4 4 3 3 3 2 1 0 0 0 1 1 2 3 5 7 9 12 15 17 18 18 17 16 16 15 14 14 12 10 9 8 5 2 0 0 0 1 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 1 2 2 2 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 1 3 3 4 4 4 5 6 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 29 42 42 28 11 3 3 9 17 19 19 18 15 13 15 16 12 6 4 7 13 20 25 29 33 35 31 25 23 22 23 42 69 67 50 49 82 112 113 107 100 93 89 87 90 99 106 103 96 92 87 83 82 85 90 97 105 112 119 124 124 124 127 127 119 107 102 106 116 124 127 127 128 129 128 130 132 133 132 131 133 131 125 121 114 105 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 18 15 12 9 7 6 5 5 4 4 5 4 3 3 2 1 1 0 0 0 0 1 1 1 2 3 4 6 9 12 15 16 15 13 12 12 11 10 8 5 3 1 0 0 0 1 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 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 1 1 0 0 0 0 0 0 0 0 1 2 2 3 3 4 5 6 5 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 2 15 33 48 49 41 27 12 6 8 10 8 5 5 4 3 2 6 12 13 11 10 12 17 22 26 29 31 36 47 67 69 70 57 68 89 88 89 89 112 120 112 101 94 88 84 80 82 92 104 103 95 92 90 87 86 86 87 90 97 105 113 120 125 128 129 127 119 107 103 108 120 127 125 120 115 115 118 122 126 126 122 120 122 124 125 124 117 105 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 23 22 19 14 8 6 5 5 6 6 6 5 4 3 2 1 1 0 0 0 0 0 1 1 1 1 1 2 3 6 8 11 12 11 10 10 10 10 9 7 4 1 0 0 0 2 3 3 3 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 2 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 3 5 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 21 34 41 39 30 20 11 5 3 3 1 0 0 0 0 0 0 1 6 10 12 14 19 28 36 40 42 40 44 62 89 95 99 96 102 98 99 103 109 115 114 107 99 93 88 83 76 74 82 93 96 92 87 85 85 85 85 85 87 91 97 103 110 119 126 130 129 124 117 111 109 121 128 124 118 109 104 106 111 117 120 119 116 115 118 123 127 122 109 96 90 nan nan 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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24 24 24 25 26 28 29 29 29 30 30 30 29 29 28 28 37 38 29 20 14 10 9 13 32 49 51 42 27 13 6 7 11 14 14 19 26 35 42 44 42 46 59 76 88 94 92 87 84 80 72 60 48 37 28 24 24 25 24 21 17 14 17 27 42 60 80 96 104 104 97 84 67 54 45 34 24 19 18 22 28 34 40 42 44 47 51 52 50 46 41 35 29 21 12 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 1 2 3 5 5 5 5 4 4 6 10 14 16 13 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 2 6 10 18 27 35 42 45 44 40 35 30 26 25 24 23 21 18 14 12 11 11 10 8 6 5 4 3 4 5 6 7 7 7 7 8 9 9 9 9 9 9 9 9 8 6 5 4 4 6 9 14 22 25 18 9 8 8 9 10 10 12 16 21 23 23 27 37 45 49 51 54 58 62 70 82 92 100 105 107 106 108 113 114 112 107 93 82 75 74 78 80 81 81 80 71 58 nan nan nan nan nan nan nan nan nan nan nan
16 16 19 22 25 27 28 29 28 28 29 29 29 30 29 30 42 45 30 18 12 10 12 20 38 54 47 33 19 10 8 9 12 15 16 21 28 36 42 43 39 38 48 68 85 93 90 82 80 81 80 72 58 44 31 22 24 26 24 20 14 11 12 23 42 61 78 90 95 91 82 69 52 38 27 18 13 10 11 16 21 26 30 32 34 41 52 59 59 53 44 35 27 18 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 2 2 1 1 1 2 3 4 4 4 4 4 4 4 6 10 14 15 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 11 16 22 27 32 32 30 27 24 22 21 19 15 12 11 11 11 10 10 9 6 4 2 1 1 1 1 3 4 5 6 7 8 9 9 9 9 9 9 9 9 8 7 5 4 4 6 10 14 24 27 21 13 9 8 9 10 10 9 10 12 18 18 20 28 37 42 45 47 48 50 53 60 68 78 87 92 93 96 102 106 110 114 112 101 88 78 77 78 78 76 75 70 60 nan nan nan nan nan nan nan nan nan nan nan
9 10 11 13 16 19 22 25 28 28 28 29 29 29 29 29 36 45 30 16 12 12 16 27 41 48 38 23 15 11 10 11 14 16 19 25 34 42 46 45 40 36 39 53 71 86 88 79 76 84 92 88 74 57 40 27 26 27 25 20 13 10 12 27 49 69 81 87 83 76 69 58 45 32 20 12 9 8 9 14 19 22 25 28 35 48 64 73 68 56 43 33 23 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 5 4 3 3 3 3 3 4 4 4 4 4 3 3 3 4 8 12 15 14 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 2 5 7 9 13 16 18 19 18 16 14 12 10 9 9 9 10 10 10 10 9 7 4 1 0 0 0 0 0 0 1 2 5 7 9 10 10 10 9 9 8 8 8 8 8 7 6 5 6 10 13 20 25 24 18 12 9 9 9 9 9 8 7 11 14 16 20 26 32 37 41 43 43 44 44 46 54 64 73 80 87 91 93 97 109 122 122 111 98 87 80 76 73 68 64 59 54 nan nan nan nan nan nan nan nan nan nan
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