Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 4 4 3 3 3 3 2 3 3 4 4 3 3 3 3 3 4 4 4 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 4 4 4 4 3 3 3 4 3 2 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 2 2 3 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 3 3 3 4 5 6 6 6 6 6 6 6 6 5 5 5 6 6 5 5 4 4 4 6 7 9 9 8 7 5 4 4 5 5 5 5 5 4 6 9 8 5 4 4 6 4 1 -1 15 14 10 7 -1 -0 7 9 4 2 5 8 9 9 11 7 6 12 13 7 10 19 18 10 3 4 10 11 11 10 8 10 9 8 9 6 2 2 3 6 8 9 7 4 5 7 8 11 11 8 6 6 6 8 8 6 4 4 7 10 10 9 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 7 7 8 12 26 27 9 5 6 7 5 3 3 6 7 8 10 9 5 4 4 5 5 5 5 5 6 6 -1 -5 0 2 3 4 5 5 5 5 5 5 5 5 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 6 7 9 10 9 8 8 8 9 12 17 22 16 8 7 9 6 -2 -11 -19 -14 -15 -15 -10 -6 -7 -2 3 6 6 7 9 7 6 5 1 -4 -4 0 4 7 9 11 13 15 18 25 27 26 22 17 13 12 11 10 9 10 13 19 22 19 18 20 19 15 12 13 14 11 8 7 7 7 6 4 4 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 6 5 5 5 4 3 3 2 2 3 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 5 5 5 4 4 4 4 3 3 4 4 5 6 6 6 6 6 6 5 5 5 6 6 6 6 5 4 4 4 5 7 9 9 8 7 6 4 4 5 6 6 6 4 4 6 10 9 4 4 5 9 8 5 8 16 15 12 7 1 -3 6 9 5 7 10 12 19 20 5 3 7 13 12 3 9 22 15 7 6 8 10 8 6 7 9 13 12 10 9 8 3 -0 1 5 8 8 9 14 17 11 8 12 11 9 10 9 8 5 5 7 6 5 6 9 12 10 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 4 5 5 6 6 7 7 7 9 18 25 13 5 7 8 8 5 2 4 6 8 10 9 6 5 4 4 5 5 5 5 5 1 -9 -9 -1 1 0 1 3 4 5 5 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 3 4 6 10 11 10 9 9 10 11 12 15 21 22 18 15 11 8 9 7 7 1 -5 -7 -2 -1 2 6 7 7 8 6 5 6 7 5 3 -2 -4 -2 2 7 8 9 11 12 15 17 18 18 17 11 8 7 7 7 7 7 9 12 12 11 11 11 9 7 8 9 9 6 6 6 6 6 5 3 3 5 5 5 4 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 5 6 6 5 5 4 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 2 3 3 3 3 3 4 3 3 4 3 3 4 4 3 3 3 3 3 4 5 5 5 4 3 3 3 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 5 5 6 6 5 6 5 5 5 5 5 5 6 7 7 6 4 3 3 4 7 8 9 8 7 6 5 4 5 5 6 6 5 4 6 11 11 7 2 3 7 9 5 7 10 12 9 4 3 -7 -3 4 8 14 14 8 9 6 1 4 7 9 5 -6 5 13 6 4 10 12 11 11 11 10 12 13 11 7 5 7 4 -0 2 4 6 7 10 15 15 7 6 6 5 7 10 9 5 2 3 6 8 8 9 13 12 9 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 5 5 5 4 4 5 5 4 4 4 4 3 4 4 3 3 4 4 4 5 5 5 6 7 7 8 9 13 17 11 4 6 8 9 8 4 4 5 7 7 7 6 5 4 4 4 4 4 5 5 3 -11 -17 -6 1 -2 -5 -0 4 5 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 6 9 9 8 9 11 12 12 13 14 16 19 20 19 14 9 9 9 10 10 8 5 2 0 2 4 4 5 6 6 6 7 7 5 1 -5 -4 1 5 9 10 10 11 12 11 9 8 9 9 6 6 5 5 5 5 5 5 6 7 7 6 6 6 5 6 7 5 5 5 5 6 5 4 3 3 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 6 6 6 5 4 4 3 3 2 3 3 3 3 3 4 3 3 3 3 4 4 3 3 2 2 3 3 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 4 3 4 5 5 5 4 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 4 3 3 2 3 3 3 4 3 3 4 3 4 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 5 6 6 7 6 5 3 3 4 6 8 9 9 7 6 6 5 5 5 6 6 5 3 5 6 7 7 1 0 6 7 0 -3 1 5 4 6 8 -5 -10 -0 10 16 10 2 -1 -4 2 5 6 6 5 -0 2 5 4 4 9 13 13 14 10 9 14 12 7 4 3 4 4 5 7 5 2 3 6 3 0 4 8 6 5 7 8 7 3 1 3 6 8 11 14 14 10 7 5 5 5 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 6 6 7 8 10 18 17 6 3 5 7 8 8 5 5 6 6 5 5 5 4 4 4 3 4 4 5 6 6 -1 -15 -12 0 2 -5 -4 3 5 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 9 11 11 10 11 10 8 8 10 11 11 10 11 12 13 13 14 16 14 9 7 7 8 9 10 8 3 -4 -2 1 3 5 5 4 5 6 7 5 -2 -7 -3 4 8 10 11 11 12 12 12 8 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 4 4 4 5 5 4 5 5 4 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 3 3 3 4 4 3 3 4 3 3 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 5 5 6 6 6 4 3 2 3 6 8 9 9 7 7 6 5 4 5 6 6 5 4 4 2 1 4 5 4 6 6 -1 1 2 0 1 8 13 6 -3 -1 6 11 6 6 10 13 11 6 3 5 12 15 5 0 0 2 3 7 11 12 7 4 6 6 4 4 5 2 4 9 9 4 -1 -3 1 -0 5 12 12 9 8 7 6 4 3 3 4 6 9 14 15 11 7 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 9 11 20 23 8 1 3 5 6 6 5 4 6 7 6 5 4 4 4 3 4 5 5 5 6 7 6 -3 -13 -6 7 6 -0 2 4 4 3 3 2 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 6 5 5 7 7 8 10 12 15 19 21 22 20 15 9 9 9 8 6 5 4 6 7 6 6 6 7 7 6 6 6 8 9 9 5 -3 -3 1 6 9 7 3 4 11 12 6 -0 -1 2 4 7 9 10 11 11 11 12 11 9 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 6 5 5 5 5 5 6 6 6 6 5 4 4 4 4 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 5 4 4 4 4 4 5 5 5 4 3 3 3 4 4 3 3 4 3 4 4 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 4 3 4 4 4 3 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 5 5 5 4 5 4 5 4 4 4 4 5 5 5 6 6 5 3 2 2 5 8 9 9 7 7 6 5 4 5 5 5 5 4 3 3 4 8 8 6 7 4 -1 6 3 -4 2 10 15 14 7 0 3 4 5 10 13 14 10 5 2 6 9 12 3 1 0 -1 1 4 4 5 6 3 1 -3 0 5 7 5 4 6 4 5 7 3 -1 4 12 13 10 10 9 7 4 3 3 4 5 6 10 13 10 6 5 5 4 4 4 3 4 4 4 5 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 4 4 4 4 5 5 6 8 11 19 25 13 2 1 4 5 5 5 3 4 6 7 6 5 4 4 4 4 6 6 6 6 7 7 4 -5 -11 -2 7 6 4 4 4 4 3 3 3 3 3 2 2 3 2 2 2 2 2 3 4 5 4 4 4 4 3 2 2 2 3 3 3 4 4 5 4 4 4 5 5 5 4 5 5 5 5 6 6 6 6 7 7 8 9 10 12 17 21 27 30 31 27 17 10 9 8 4 0 -3 -5 -4 -5 -4 -3 -3 1 5 6 4 4 5 6 8 8 3 5 11 14 17 14 8 12 19 18 11 8 7 4 3 5 7 7 8 8 9 9 11 11 10 8 7 6 4 3 4 4 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 4 4 4 4 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 nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 6 5 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 3 2 2 3 2 2 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 4 5 4 5 5 4 4 4 6 7 6 6 7 8 6 4 2 2 5 8 9 9 7 7 7 5 4 5 5 6 5 3 3 4 6 11 10 6 5 1 -4 -4 -4 0 9 11 10 10 8 4 4 3 5 8 10 7 4 4 7 5 1 2 -0 4 6 -0 1 1 -2 1 5 5 5 -1 -1 2 6 8 2 1 3 9 15 8 1 8 12 9 8 9 7 4 4 4 2 3 4 7 10 11 7 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 10 17 26 18 6 2 2 4 4 4 3 3 3 5 7 7 6 5 4 4 5 6 6 6 5 5 4 2 -6 -11 -4 4 5 5 5 4 4 3 3 4 4 3 3 3 3 2 2 1 1 2 3 4 4 4 3 3 2 2 1 1 2 3 3 2 2 3 3 3 3 4 4 4 4 4 4 5 6 6 6 7 7 7 9 9 10 12 14 18 24 29 33 32 24 15 9 7 5 2 -2 -5 -6 -6 -5 -5 -4 -0 3 5 6 5 4 4 5 6 8 9 11 15 21 26 20 16 18 16 17 16 13 8 4 3 4 5 6 5 3 2 4 7 10 11 11 10 8 6 4 3 4 5 6 5 5 4 4 5 5 5 6 6 7 7 7 6 5 3 3 4 4 4 4 4 3 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 5 6 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 5 4 4 4 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 4 4 4 3 4 3 3 2 2 2 2 3 2 3 3 4 3 3 4 3 3 3 3 4 4 4 4 5 4 4 4 5 5 5 6 6 5 6 5 5 4 4 4 5 4 5 4 5 8 10 9 8 9 10 9 6 3 2 5 8 10 9 8 8 7 6 5 5 5 6 5 4 3 3 4 8 10 9 6 0 -4 -4 1 6 8 5 2 4 7 9 9 5 5 5 4 4 3 6 8 3 0 5 3 1 4 0 -2 -2 -4 2 8 9 10 7 2 -2 1 6 7 3 -1 5 10 7 8 8 6 6 8 6 4 2 1 1 2 4 6 10 14 10 6 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 5 5 5 5 5 5 6 12 27 28 13 6 3 3 4 4 3 2 1 2 5 7 7 6 5 4 4 5 5 5 5 4 3 3 2 -5 -8 -1 5 5 5 5 5 4 4 5 5 5 5 5 4 3 2 1 1 1 2 3 4 4 3 2 2 1 1 0 1 2 3 2 2 2 2 2 2 2 2 3 3 3 3 4 5 6 6 6 7 8 9 9 10 12 13 15 20 25 28 24 17 11 7 4 2 1 1 2 1 1 3 2 2 4 6 6 7 7 6 6 6 7 9 12 11 9 18 20 16 15 13 12 14 14 12 7 4 4 4 5 5 5 1 -5 -4 0 7 10 10 10 9 9 7 5 4 6 6 7 6 6 5 5 5 5 5 6 7 8 7 5 3 3 3 4 4 4 4 4 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 5 6 6 5 3 2 3 4 4 4 4 4 5 5 5 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 6 5 5 4 5 5 5 4 4 4 3 3 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 4 3 2 2 3 3 2 2 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 5 4 4 5 5 5 5 5 7 10 11 10 9 11 13 11 8 4 4 6 9 10 9 9 9 8 7 6 5 5 6 6 5 4 3 3 5 9 11 8 4 4 4 8 9 7 4 3 5 6 13 14 8 3 1 1 5 3 4 4 1 2 4 2 -1 2 3 -0 -3 -4 4 12 10 9 12 6 1 -1 -0 2 4 6 8 5 7 9 7 11 13 8 4 2 1 1 1 4 7 10 15 14 8 5 4 4 4 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 7 19 33 29 18 10 7 6 5 5 3 2 1 3 5 6 6 5 4 4 4 4 4 4 4 3 2 3 1 -6 -3 4 6 6 5 5 5 5 5 6 6 6 6 5 4 3 2 1 0 2 2 2 3 3 2 1 -0 -1 -1 0 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 4 5 5 6 7 8 8 9 9 9 10 12 14 17 18 17 13 9 6 0 -4 0 5 5 5 4 5 5 5 5 5 6 7 7 8 8 7 8 11 16 15 14 13 10 10 10 8 9 10 10 9 6 4 4 4 5 6 8 7 1 -3 -3 3 8 9 9 9 9 8 7 6 6 7 8 7 7 6 6 5 4 4 5 5 7 7 5 4 3 4 4 4 4 4 4 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 5 4 4 5 6 5 4 3 3 2 3 4 4 4 4 5 5 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 3 3 3 4 4 4 4 5 5 5 6 5 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 4 3 3 3 3 2 2 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 6 5 4 5 5 6 6 6 6 7 9 10 11 11 11 13 14 13 9 6 6 6 9 10 8 8 8 8 7 6 6 6 6 7 6 5 4 3 4 8 9 6 7 10 7 5 8 10 10 9 8 8 17 19 6 -2 -1 2 6 5 3 0 1 2 -2 -1 4 6 7 4 -3 -2 6 13 10 6 8 3 4 1 -1 4 12 11 6 -1 2 2 8 16 20 13 5 2 1 0 4 8 8 12 15 10 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 8 20 31 29 24 20 16 14 11 9 6 5 4 3 4 5 5 3 3 4 3 3 5 5 4 4 4 3 -1 -2 3 5 5 6 5 5 5 6 6 6 6 6 6 6 5 4 2 1 1 2 2 2 3 2 1 -1 -2 -2 -1 1 2 3 4 4 4 4 4 4 4 3 2 1 1 2 3 4 5 6 7 8 7 7 7 8 8 8 8 10 11 12 11 9 8 5 1 3 5 6 6 5 5 4 4 5 5 5 7 8 10 11 11 11 14 19 25 24 11 5 6 8 7 8 8 7 7 6 5 4 4 4 6 10 14 14 12 7 4 5 7 8 7 7 7 6 5 5 7 8 7 6 5 5 4 4 3 3 4 5 6 6 5 5 4 5 4 4 4 4 5 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 5 3 4 5 5 5 4 3 3 3 3 4 4 4 5 5 5 4 3 4 4 4 5 5 4 4 3 3 3 4 3 3 3 2 3 3 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 5 5 6 7 7 7 8 9 9 10 10 11 13 14 12 9 7 6 8 8 8 7 6 7 8 7 8 8 7 7 8 7 6 5 4 4 5 6 5 5 7 3 2 9 13 12 8 4 12 21 18 4 -4 -1 5 4 5 4 3 6 9 9 9 8 4 5 4 -4 -2 7 12 9 6 5 2 5 1 5 17 14 1 -8 -6 -4 -1 7 10 15 11 5 2 1 2 5 6 6 10 12 7 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 6 14 21 23 24 25 24 21 19 16 15 12 9 7 5 5 5 5 5 6 6 7 7 7 8 8 7 3 1 3 5 5 6 5 5 5 5 6 6 5 6 7 8 8 8 6 3 1 1 2 2 3 3 2 0 -1 -1 1 3 3 4 4 5 6 7 8 9 9 8 5 3 1 1 2 3 6 8 9 8 6 5 5 6 6 5 4 5 6 7 7 7 8 10 9 6 5 5 5 5 5 4 5 6 6 6 8 12 16 18 17 16 15 14 16 15 8 4 5 7 8 8 7 7 6 6 5 4 4 4 5 8 14 16 14 12 7 4 5 6 5 5 4 4 5 4 5 6 6 5 5 5 4 4 3 3 4 5 6 7 6 5 5 5 5 5 5 4 4 4 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 7 6 4 4 4 4 5 6 4 4 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 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 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 5 5 5 6 6 6 5 5 5 5 6 7 8 7 7 6 7 8 8 8 10 12 13 10 8 7 6 7 7 7 7 7 7 8 9 10 9 8 8 8 7 6 5 5 5 3 5 5 2 -2 -2 5 11 12 10 6 3 11 19 11 3 1 4 6 1 2 6 10 12 16 24 23 12 1 0 2 1 1 3 7 4 3 4 5 6 5 12 17 4 -2 2 4 4 3 5 7 8 4 3 4 4 6 6 5 7 11 10 5 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 5 7 10 12 16 19 21 21 21 21 20 18 16 11 8 8 9 9 10 10 10 10 11 11 11 9 3 1 3 4 5 5 5 5 5 5 5 5 5 6 8 11 14 16 13 8 3 1 2 3 3 3 3 3 3 6 8 6 4 3 5 7 8 10 12 14 16 15 13 8 4 1 2 4 8 11 10 7 4 4 2 2 4 3 1 -1 0 2 2 2 4 7 9 6 4 4 4 3 4 6 7 9 9 11 14 15 15 14 14 11 8 7 7 6 5 5 5 6 7 7 7 7 7 6 5 5 4 4 4 6 9 10 7 6 4 3 4 5 4 4 5 5 4 4 4 5 5 4 5 5 4 3 3 2 3 5 6 6 6 5 5 4 5 4 4 4 4 4 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 nan nan nan
nan nan nan nan nan nan 6 6 7 8 7 5 4 3 4 6 6 5 4 4 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 4 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 6 7 7 6 6 6 6 7 7 8 9 11 10 8 6 6 6 6 7 7 7 7 7 8 10 10 9 7 7 6 6 5 5 5 5 3 1 0 -1 -6 -1 9 12 1 2 9 9 9 11 6 3 6 6 5 0 0 8 15 15 14 18 19 13 7 4 5 10 8 2 2 2 1 -0 5 6 9 14 9 7 7 16 21 17 7 -1 7 8 5 5 6 6 6 6 8 13 14 8 5 4 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 5 5 4 4 4 5 7 10 12 13 13 16 18 19 19 16 14 12 11 11 10 10 10 11 12 11 7 1 0 3 4 4 5 4 4 5 5 5 4 5 7 9 14 20 25 23 15 7 2 2 3 4 3 3 4 6 12 17 13 3 -1 4 8 8 10 13 16 19 21 21 17 10 4 2 5 12 15 10 2 1 3 1 -1 -0 1 -2 -7 -8 -8 -6 -5 -3 2 5 4 4 4 4 5 7 8 8 9 10 12 12 9 5 6 7 5 4 4 5 5 6 6 5 5 6 7 7 7 6 7 6 6 4 3 4 5 6 6 6 5 3 3 4 4 4 5 5 5 4 4 4 4 5 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 6 7 8 8 6 5 4 3 4 5 6 6 4 4 3 3 3 3 3 4 5 5 4 4 4 3 3 4 3 3 3 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 4 3 2 2 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 4 3 4 4 4 4 4 4 5 5 5 5 4 5 5 4 5 5 5 5 6 6 6 6 7 7 7 7 7 9 10 9 7 5 5 6 7 7 7 7 8 8 9 10 7 6 5 5 5 4 5 4 5 5 5 -2 -3 1 -4 2 12 14 -1 2 11 9 6 8 4 1 4 5 6 4 2 11 22 19 11 9 8 7 10 8 7 12 10 4 4 4 0 -1 3 5 9 9 9 9 7 15 25 21 9 2 5 6 7 7 6 6 6 6 12 16 13 6 4 4 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 4 5 4 4 4 5 4 4 5 4 4 4 3 4 5 4 5 6 8 11 14 15 15 11 7 6 7 8 8 8 9 9 6 2 2 3 4 5 5 4 4 5 5 4 4 6 9 12 13 19 26 25 16 8 3 2 3 4 3 3 5 8 15 21 18 7 -0 2 7 8 9 10 12 16 21 25 24 17 9 4 6 13 18 10 -3 -5 -1 -0 -4 -4 -3 -2 -5 -8 -9 -9 -6 -3 0 3 4 4 5 7 9 12 13 10 9 10 8 4 3 3 4 4 4 4 4 5 5 5 5 5 5 6 7 6 6 6 7 7 6 5 4 4 4 5 5 5 7 7 6 4 4 4 5 5 4 4 3 2 3 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 4 3 3 3 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 nan nan nan
nan nan nan nan nan 4 5 5 6 7 8 7 5 5 4 3 4 5 5 5 5 4 3 2 2 2 3 4 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 2 2 2 2 3 3 3 2 3 3 3 3 3 4 4 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 5 6 6 7 7 7 7 8 8 9 9 8 6 4 6 8 8 7 7 7 8 9 10 10 6 4 4 4 3 4 4 5 5 4 5 1 1 4 0 2 7 6 3 1 6 6 9 9 3 1 2 -0 6 10 9 17 23 17 10 8 5 3 5 6 4 5 5 5 3 5 2 1 3 6 8 6 9 8 6 9 17 15 9 6 5 4 6 6 5 5 6 6 12 15 9 5 4 4 3 3 3 2 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 4 5 6 7 7 4 4 6 7 8 8 8 9 8 6 5 4 5 6 6 6 6 6 5 4 4 6 10 14 14 13 17 17 9 1 1 2 3 3 3 3 4 8 15 23 20 11 7 5 6 7 7 6 7 11 17 24 28 23 13 5 6 11 16 11 -3 -10 -8 -4 -5 -5 -3 -1 0 1 1 -1 0 3 3 2 3 5 7 10 12 16 16 15 13 9 5 3 3 4 4 4 4 5 5 5 5 4 4 5 6 7 7 6 5 5 6 7 7 6 5 4 5 5 4 5 6 7 6 4 4 4 4 4 4 4 2 1 2 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 4 4 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 5 5 6 6 6 6 6 5 4 4 4 5 5 6 5 4 3 2 2 2 4 5 6 5 5 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 4 4 4 3 3 2 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 6 7 8 8 8 8 8 8 9 9 7 5 5 7 9 9 6 6 6 8 9 10 10 8 5 5 5 4 4 4 5 6 5 5 5 5 6 8 7 3 -2 4 0 4 8 11 8 4 2 3 -0 4 9 12 14 10 6 6 7 5 2 1 1 -3 -2 1 2 2 5 5 3 6 7 7 5 7 7 8 4 6 7 6 5 3 3 4 5 5 5 6 8 13 12 6 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 6 7 8 8 8 9 10 10 8 6 6 6 6 7 7 7 7 6 5 4 5 8 15 19 14 12 11 5 -2 -2 1 3 2 2 2 4 6 11 20 22 11 7 9 7 6 5 4 5 7 11 17 23 24 16 6 3 6 12 11 1 -8 -7 -3 -0 -0 0 1 2 4 5 5 4 2 3 4 5 7 8 9 7 7 11 12 9 5 3 3 3 4 4 4 5 4 5 5 5 4 4 5 6 6 6 6 6 5 5 6 6 6 5 6 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 5 4 5 5 6 6 5 4 4 5 5 5 6 6 5 4 4 3 3 3 4 5 6 6 5 5 5 6 6 5 4 4 3 3 3 4 4 5 5 5 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 6 5 5 5 5 5 4 3 3 3 3 5 8 9 10 11 10 9 9 9 9 8 6 5 6 8 9 7 6 6 6 8 9 10 10 9 8 7 6 5 4 4 5 6 6 7 6 4 5 13 12 5 2 7 5 11 11 7 4 4 4 5 7 4 9 6 0 -3 -2 2 3 2 1 1 -3 -6 -2 2 4 4 3 3 5 10 8 6 5 4 4 4 1 2 3 4 3 0 3 5 5 5 5 5 9 13 9 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 3 4 5 7 8 8 9 10 11 10 8 6 5 5 5 5 7 7 7 7 5 5 4 6 12 19 20 15 12 9 3 -2 -2 -1 0 0 0 2 4 7 11 15 11 6 7 6 5 4 3 4 5 7 10 12 14 12 5 -1 1 7 10 6 2 2 4 3 1 2 3 4 4 3 2 2 3 4 6 9 11 11 8 7 4 4 5 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 6 5 5 5 5 4 5 4 5 5 5 4 3 4 6 8 6 4 4 4 4 4 5 4 4 4 4 4 4 5 4 5 5 5 4 4 3 3 3 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 4 4 4 3 3 4 5 5 5 4 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 6 5 6 5 5 5 4 3 4 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 6 6 5 5 5 5 5 4 4 3 4 7 9 11 12 13 12 11 9 9 9 8 7 7 8 9 7 7 6 5 6 7 9 10 11 10 9 8 7 6 6 6 6 7 8 7 7 2 4 15 20 6 6 7 11 11 9 5 4 6 4 4 6 4 12 1 -7 -5 -3 -1 -0 -1 2 2 0 2 5 5 6 7 2 1 7 11 10 7 5 1 2 2 1 -0 0 2 2 2 4 5 5 5 4 5 11 14 9 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 6 7 9 9 10 11 10 8 6 5 5 4 4 5 6 7 6 5 4 5 5 8 13 16 15 13 10 6 2 -1 -4 -2 -2 -2 -4 -0 4 6 7 6 4 5 5 5 5 3 2 2 4 5 3 3 6 4 -0 -1 4 8 9 7 7 7 4 2 4 6 5 6 6 3 3 8 10 11 12 12 11 10 11 8 3 4 3 3 3 3 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 5 6 6 5 5 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 4 4 5 4 4 4 4 4 4 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 3 2 3 3 4 4 4 4 5 5 5 6 5 5 6 5 4 4 5 4 4 5 5 5 5 5 5 5 5 4 5 6 5 5 4 4 3 4 5 5 5 5 4 3 4 3 3 4 4 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 4 4 4 6 9 11 13 15 16 14 12 11 10 9 7 7 7 8 8 6 6 5 5 6 7 9 10 11 11 9 8 7 7 7 7 6 7 7 8 5 -1 2 18 24 7 3 2 8 5 5 7 9 8 0 -3 2 4 6 -2 -6 1 4 5 4 2 1 -1 2 11 11 5 5 8 4 3 8 9 8 5 4 3 4 4 3 -1 -1 -0 1 5 5 5 5 5 4 7 13 14 8 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 3 3 3 3 3 3 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 6 7 8 9 10 10 10 8 6 5 4 4 4 4 4 5 5 5 4 5 5 6 8 11 13 12 11 7 4 2 1 -0 -0 -2 -7 -8 -2 2 4 4 4 5 6 7 6 4 4 3 2 3 4 3 3 5 4 3 4 7 8 7 6 6 5 5 7 9 8 9 14 12 10 12 14 14 12 8 7 8 7 5 4 5 5 4 4 4 3 3 3 3 4 4 4 4 5 6 5 5 6 6 7 7 7 7 6 5 5 4 4 5 5 5 5 4 2 2 4 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 5 4 3 3 4 3 3 3 3 4 4 4 5 5 5 5 4 5 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 5 6 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 4 5 4 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 5 4 5 7 10 13 16 18 19 16 14 12 10 9 7 7 5 6 7 6 6 5 6 6 7 8 10 11 11 9 7 7 7 7 7 7 6 6 8 4 -3 -1 16 20 6 -2 3 6 1 4 11 14 6 -3 -8 0 9 6 2 2 5 10 14 9 2 2 1 5 9 9 5 5 8 5 3 5 6 6 4 3 3 6 6 5 1 -0 0 4 9 7 5 5 5 5 9 13 11 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 5 5 5 6 7 8 9 9 9 7 6 5 4 4 4 3 3 4 4 4 4 4 4 5 6 8 10 13 15 13 8 5 5 4 4 2 -3 -9 -10 -6 -1 3 4 4 5 9 9 6 8 11 7 4 5 5 6 6 5 6 6 5 6 6 5 5 5 6 10 12 11 12 17 17 15 13 11 10 9 8 5 5 5 5 5 5 6 6 6 5 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 7 7 6 5 5 5 4 4 5 5 5 4 3 3 5 5 5 5 5 5 5 4 3 3 3 4 3 4 4 3 4 3 4 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 5 4 4 4 4 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 5 5 7 11 14 18 21 21 20 17 14 12 10 7 6 6 4 4 5 6 6 5 6 6 7 9 11 11 11 8 6 5 7 8 7 6 6 4 5 6 0 -4 9 14 6 1 9 6 -0 6 16 17 4 -4 -5 4 19 18 10 8 7 15 17 12 9 10 9 7 6 5 5 8 9 4 1 4 5 6 6 4 4 6 7 7 4 3 6 9 9 7 5 6 5 7 11 15 10 5 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 3 5 5 4 4 4 5 5 6 7 8 9 9 8 7 6 5 5 4 4 3 3 2 3 3 3 3 3 4 4 6 8 10 15 18 16 10 5 6 7 6 3 -2 -7 -10 -8 -2 1 1 2 5 7 6 8 14 11 6 5 5 5 5 5 5 5 4 4 4 5 5 6 5 8 11 11 12 13 13 11 9 6 6 7 8 6 6 5 6 6 6 6 7 7 7 5 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 4 3 4 5 5 5 6 8 8 6 5 5 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 5 5 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 7 6 4 4 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 6 7 6 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 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 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 5 5 5 6 7 7 6 7 13 19 22 24 24 23 20 16 13 11 8 6 6 6 5 5 6 5 5 5 5 6 7 10 11 12 10 7 5 5 7 8 6 7 6 0 0 8 8 -2 6 12 4 2 12 9 3 6 14 13 5 1 2 9 24 19 10 6 11 19 16 12 14 13 9 5 5 4 5 10 10 3 -1 2 6 6 6 6 8 8 7 5 5 7 11 10 6 5 5 6 6 7 11 14 9 5 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 3 4 4 4 4 4 4 5 5 6 7 9 9 8 6 5 6 5 5 4 3 3 2 2 2 2 2 3 3 4 4 5 6 10 14 18 16 10 10 10 8 6 5 2 -2 -7 -7 -5 -5 -4 -2 -2 -1 2 8 9 6 5 4 4 4 5 5 5 4 4 5 5 7 9 7 7 8 7 8 8 8 5 4 5 5 6 7 6 6 6 6 6 6 6 7 7 8 6 5 4 4 4 4 4 4 5 5 5 5 6 6 6 7 6 6 5 5 4 2 1 4 5 5 5 6 7 8 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 7 6 4 4 4 5 5 5 5 5 4 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 7 9 7 9 17 28 34 33 28 24 21 17 13 10 8 6 5 5 6 6 7 6 5 4 3 4 6 8 9 11 12 9 6 5 6 7 7 7 7 6 -2 -3 6 10 3 5 8 5 4 11 11 5 2 5 7 8 8 7 12 21 13 5 5 11 15 11 10 10 7 4 4 5 4 5 7 7 1 -2 2 6 5 5 6 10 10 7 4 5 8 9 6 3 4 6 6 6 6 8 6 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 5 4 5 5 4 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 4 3 3 4 4 4 5 4 5 4 4 5 5 6 8 9 8 7 6 6 6 5 4 3 3 2 1 2 2 2 3 3 3 3 3 4 6 8 11 14 15 15 16 14 10 8 7 6 1 -3 -4 -4 -5 -3 -3 -4 -0 3 5 6 6 4 4 5 5 6 6 6 7 9 9 10 12 10 5 4 4 5 6 6 6 5 4 5 5 6 6 6 6 6 5 5 5 6 7 8 8 7 6 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 6 5 6 6 6 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 8 7 6 5 5 5 5 5 5 5 4 4 5 6 6 6 6 7 7 6 5 4 4 4 4 4 4 4 4 5 5 6 6 7 7 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 5 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 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 8 10 10 19 35 44 48 38 24 18 16 14 9 6 4 3 4 5 6 6 8 7 5 3 3 4 5 7 8 10 11 8 6 5 6 7 6 5 4 5 0 -3 -0 3 2 -0 2 8 9 12 12 5 1 2 4 7 9 7 14 19 11 6 8 9 9 8 8 5 3 2 4 5 2 1 4 4 2 2 5 7 5 2 2 6 8 4 -0 3 6 6 4 4 5 5 4 4 6 8 4 4 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 4 4 4 5 5 5 4 4 5 5 5 5 5 7 8 9 8 8 7 7 6 5 4 3 3 2 2 2 3 3 3 3 3 4 4 4 5 5 8 11 11 14 16 13 10 9 10 8 6 7 5 3 3 3 2 4 5 7 8 6 7 8 7 8 8 7 9 11 11 11 11 10 7 4 3 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 5 6 7 8 8 7 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 8 9 6 5 5 5 4 5 5 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 7 8 8 7 6 5 5 5 5 5 5 4 3 4 6 6 6 6 8 8 7 5 4 4 4 4 4 4 3 3 4 4 5 5 7 7 6 6 7 6 5 5 4 4 3 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 4 4 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 3 3 3 3 3 4 4 5 5 5 5 4 4 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 10 11 14 28 40 39 41 30 14 11 11 10 6 3 1 2 4 6 6 6 7 8 6 5 4 5 6 7 8 9 8 7 6 5 5 5 5 5 2 2 8 4 0 5 6 2 0 6 7 12 15 8 4 7 5 4 3 3 10 15 10 7 8 7 5 6 5 3 2 3 4 3 -1 -1 2 4 4 5 8 9 0 -3 -1 1 4 0 -5 -1 4 7 6 4 1 -3 -1 3 7 7 5 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 7 6 5 5 4 4 5 5 5 5 5 6 6 5 5 6 7 9 9 9 8 8 7 6 5 5 4 4 3 3 3 2 3 3 3 3 4 4 4 4 5 5 6 8 10 11 10 10 11 10 11 14 13 9 8 8 7 7 9 11 10 8 11 12 10 10 9 6 8 9 8 8 7 5 4 3 3 4 5 4 4 5 5 4 4 4 3 3 3 3 4 3 3 3 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 7 7 7 7 6 6 6 6 6 5 5 5 3 3 4 6 5 6 8 9 8 6 4 4 4 4 4 4 4 3 3 4 3 3 5 6 6 6 7 7 6 5 5 4 3 3 4 4 4 4 4 3 3 3 3 3 4 5 5 5 4 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 4 4 3 3 4 4 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 6 10 13 15 19 25 22 18 19 16 9 8 8 6 2 -1 -1 2 4 7 7 6 7 8 8 7 6 7 8 9 9 7 6 5 6 5 5 6 6 5 -1 -0 13 9 3 11 13 8 6 7 4 5 10 13 16 16 9 2 -0 3 10 12 8 7 6 5 5 6 4 3 -0 1 3 1 1 0 4 6 5 4 8 5 -5 -5 -0 2 2 -1 -2 2 10 12 7 -1 -9 -9 -2 5 8 6 8 12 9 5 5 5 4 3 4 4 4 3 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 6 6 6 6 5 5 7 8 10 10 10 9 8 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 7 7 7 7 7 8 11 13 12 10 10 9 7 9 11 10 9 11 12 11 10 8 4 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 2 2 1 2 2 3 2 3 3 3 4 5 5 4 4 4 5 5 6 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 7 7 6 6 5 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 6 6 5 5 5 5 5 6 6 6 5 4 3 2 3 5 6 7 7 8 7 6 5 5 4 4 3 4 4 4 3 4 3 2 3 4 5 6 7 6 6 6 6 5 4 4 3 3 4 5 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 5 4 4 5 8 13 16 18 20 16 6 9 11 8 9 11 8 3 -1 -2 0 3 5 7 7 6 6 8 9 9 9 9 10 11 10 7 5 4 4 6 6 6 5 4 -0 3 11 6 1 7 8 8 11 8 2 -4 -1 12 21 20 10 1 2 11 16 12 7 6 6 5 6 6 4 2 -1 1 4 2 2 4 8 9 2 4 7 3 -4 -3 3 6 3 2 4 8 15 13 5 -4 -11 -6 4 6 6 6 12 14 8 5 5 5 3 3 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 5 4 5 5 4 5 4 4 5 5 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 7 9 11 12 10 8 7 7 7 7 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 7 9 9 9 8 6 6 7 6 6 6 7 6 6 5 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 1 2 1 1 2 2 3 3 3 3 3 4 4 3 3 4 4 5 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 6 7 7 7 7 7 6 4 3 3 4 4 5 6 6 6 6 6 6 6 6 6 7 7 6 6 5 4 4 3 2 3 2 3 3 3 4 5 5 4 4 4 4 4 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 6 5 3 3 3 4 4 6 6 6 5 4 3 2 2 4 6 7 7 6 5 5 6 6 5 5 4 4 4 3 3 4 4 3 3 3 4 5 6 6 6 6 6 6 5 4 4 4 4 5 4 4 4 3 3 4 5 5 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 4 5 7 9 15 21 21 17 9 1 11 13 5 8 13 9 3 -1 1 3 5 4 5 6 6 6 7 9 10 10 9 11 11 11 8 5 3 3 5 6 4 2 3 5 8 10 4 3 -3 -1 6 9 5 2 -4 -4 6 15 15 8 2 6 16 18 12 8 6 5 6 7 6 3 0 -0 1 3 1 2 4 6 7 -2 2 5 3 1 -2 4 6 2 4 10 15 18 12 3 -2 -3 3 7 6 4 5 10 11 6 4 5 4 3 4 3 3 3 4 4 3 3 3 3 3 2 2 3 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 4 4 6 8 12 14 12 9 7 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 4 5 5 5 5 4 3 3 5 6 6 5 5 5 4 4 3 2 2 2 3 3 3 2 3 3 4 4 4 4 4 4 4 3 3 3 2 1 1 1 1 1 2 2 2 2 2 3 4 4 3 4 4 4 4 4 3 3 4 4 5 5 5 5 4 4 4 5 5 4 5 5 5 5 5 6 6 7 7 7 7 5 4 3 3 3 3 4 4 5 5 5 5 5 6 6 7 7 6 6 5 4 4 4 3 3 3 3 3 3 4 5 4 4 4 4 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 5 5 5 5 4 3 2 2 3 4 5 6 5 5 4 3 2 3 5 7 8 6 5 5 6 6 6 6 5 5 4 4 4 4 5 4 3 3 3 3 4 5 5 5 6 5 4 4 4 5 5 4 4 3 3 3 3 4 4 5 5 5 4 4 5 5 4 4 5 4 4 4 5 5 5 5 5 4 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 4 5 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 7 8 10 18 27 23 14 4 0 9 9 -0 5 10 8 3 1 3 4 4 2 3 4 5 6 7 10 11 10 9 11 12 11 9 6 3 4 5 1 -4 4 11 6 6 6 3 3 -1 3 5 4 3 4 2 4 8 10 13 11 8 11 14 13 9 7 5 4 5 6 5 3 0 1 3 2 3 4 -2 -2 4 -2 0 4 3 3 -2 2 3 -4 -1 9 18 21 15 8 8 11 12 9 8 4 5 9 9 7 5 4 3 3 3 3 3 4 3 4 3 4 3 3 3 2 2 3 3 4 4 3 3 2 3 3 3 3 4 4 4 4 4 4 4 5 4 5 4 4 5 5 5 5 5 4 5 5 4 4 5 4 5 4 4 4 5 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 7 7 6 6 7 6 6 6 5 4 4 7 10 14 13 10 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 3 3 3 4 5 4 5 5 5 5 6 6 7 7 7 7 6 6 5 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 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 4 5 5 6 5 4 3 2 2 3 3 4 4 5 5 4 3 3 3 4 7 8 6 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 5 5 6 5 5 5 5 5 5 5 5 4 3 3 3 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 7 8 9 13 23 32 24 11 -1 -6 -4 -9 -13 -4 3 3 1 1 2 2 2 2 3 4 5 5 7 10 11 10 9 11 12 11 8 6 6 6 7 2 -5 0 8 5 5 4 3 2 6 8 4 5 10 7 7 10 12 10 14 16 15 15 12 9 8 6 3 2 4 5 4 2 -0 -0 3 5 7 3 -12 -10 6 5 -1 3 5 2 -2 -0 -3 -6 -1 4 10 18 19 13 16 20 16 11 8 4 5 9 10 8 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 6 6 5 4 3 3 4 7 11 12 10 7 5 4 4 5 5 5 5 5 5 5 5 5 4 4 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 5 4 4 3 2 2 2 2 2 2 3 3 4 4 5 5 4 3 2 2 1 2 2 3 3 3 4 6 6 6 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 3 3 3 4 4 4 3 3 4 4 4 5 5 6 6 6 6 6 7 7 7 7 6 6 5 4 3 3 3 3 3 3 2 1 1 1 1 2 2 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 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 5 5 6 6 6 5 3 3 2 2 3 3 4 5 5 5 4 3 3 4 6 7 6 5 5 4 5 5 5 5 5 6 7 6 5 4 4 5 5 4 4 4 4 5 5 5 4 5 5 4 3 3 3 3 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 8 10 13 20 31 33 21 7 -7 -6 -9 -19 -19 -9 -2 -1 -1 1 1 2 2 2 3 4 4 5 7 10 12 10 11 13 11 8 6 5 5 6 7 8 7 4 2 -0 0 3 1 2 7 10 6 7 14 14 14 15 17 13 15 15 12 11 11 11 8 4 1 2 4 4 3 0 -1 2 5 7 6 -3 -16 -7 16 15 -2 2 6 -1 -1 3 -1 2 3 2 5 13 17 15 17 18 13 9 7 3 5 10 12 9 5 5 4 4 3 4 3 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 3 3 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 5 5 6 6 6 6 7 7 8 7 7 7 6 5 4 3 3 3 5 8 10 10 8 6 5 4 4 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 6 7 6 5 4 4 3 3 2 2 2 2 3 3 4 5 5 5 4 2 1 1 1 2 2 3 4 5 7 11 13 12 9 6 5 4 5 5 5 5 5 5 6 5 5 4 4 4 4 4 3 3 2 3 3 4 4 4 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 2 2 1 1 0 1 1 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 5 4 3 3 3 3 3 3 4 5 6 5 4 2 3 5 7 7 6 4 4 4 4 4 3 3 4 6 8 6 5 4 4 5 4 4 4 4 5 5 4 5 6 6 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 6 8 10 12 15 21 29 34 28 15 2 -5 2 -4 -14 -12 -6 -2 -1 0 2 2 2 3 3 3 4 4 5 7 11 14 14 13 13 9 6 4 3 3 4 5 7 11 13 9 3 -3 -1 -0 1 6 11 9 8 12 17 23 29 25 16 14 11 7 5 9 10 8 3 -2 0 5 6 3 1 3 7 9 7 0 -9 -8 8 27 19 -3 1 7 -1 5 9 7 8 3 3 10 12 12 12 14 14 10 7 4 2 6 11 14 10 5 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 3 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 3 2 2 4 5 6 6 6 6 6 7 7 8 8 7 6 5 4 3 3 3 4 5 7 8 8 7 5 4 4 5 5 5 5 5 6 6 5 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 5 6 7 8 6 4 4 4 3 2 2 2 2 3 4 5 5 5 4 3 1 1 2 2 3 3 4 6 10 16 20 18 14 9 5 5 6 5 4 5 5 6 6 6 5 5 4 4 4 4 4 4 3 2 2 3 4 4 4 3 4 4 5 5 6 7 7 7 7 7 7 7 6 7 6 6 6 5 5 6 6 6 6 5 4 3 3 2 1 1 3 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 7 6 5 4 3 3 3 3 2 2 3 4 6 6 4 4 4 5 6 7 6 5 3 4 4 3 2 2 2 5 6 7 7 5 4 4 5 4 4 4 5 5 4 5 6 6 5 4 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 7 9 12 14 18 22 25 27 28 21 7 -4 -2 2 -4 -9 -5 -3 -1 1 3 3 3 2 3 3 4 4 4 4 7 12 17 18 17 12 6 5 4 3 3 4 6 5 4 5 7 6 3 3 1 2 6 9 8 9 10 15 23 27 18 14 12 10 5 3 5 4 3 1 -2 1 5 6 5 5 7 10 8 2 -4 -7 1 18 26 13 -3 4 10 3 9 9 8 9 7 11 15 11 8 10 13 13 9 5 3 5 8 12 16 11 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 3 3 3 4 4 3 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 5 5 5 5 5 5 5 4 3 1 2 4 6 6 6 6 6 6 7 7 8 8 8 7 6 5 4 3 3 3 4 6 7 8 7 6 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 5 7 9 9 7 5 4 4 2 2 2 2 2 3 4 5 5 4 3 2 1 2 2 3 3 4 6 11 19 25 24 18 11 5 5 6 5 4 5 5 6 7 6 5 5 5 4 5 5 5 5 4 4 3 2 3 3 2 2 3 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 5 6 6 6 7 7 7 6 6 5 4 3 2 3 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 5 4 3 4 4 4 3 2 3 3 5 5 5 5 5 6 6 6 6 6 5 5 5 4 3 1 1 3 5 6 7 6 4 4 4 4 4 4 5 5 5 6 7 6 4 4 4 4 5 4 4 3 3 4 3 3 4 4 3 4 4 4 4 5 5 5 5 5 5 5 4 5 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 3 4 3 3 4 4 3 4 4 4 4 5 5 5 5 6 8 10 13 17 20 21 21 19 17 19 15 2 -9 -9 -14 -13 -8 -3 -1 -0 1 3 4 4 3 3 3 4 5 4 5 8 14 19 20 18 14 5 3 4 2 6 9 7 7 7 2 0 1 3 5 4 5 7 7 6 6 9 16 21 14 7 10 12 11 6 2 2 -2 0 6 4 3 5 7 8 8 8 8 4 -1 -4 -4 0 11 19 12 1 5 10 5 6 3 4 9 16 20 15 9 8 11 12 10 6 4 5 7 8 13 16 9 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 3 4 4 4 4 3 3 4 3 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 5 4 5 5 5 5 5 4 3 2 3 6 7 7 7 6 6 7 7 6 6 7 8 7 7 6 5 4 3 3 3 5 6 7 8 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 5 8 10 10 7 6 5 3 2 2 2 2 3 3 4 5 4 3 3 2 1 2 2 3 3 5 10 18 26 27 18 8 4 6 6 5 5 5 6 6 7 7 6 6 6 6 5 5 5 5 6 7 5 3 2 2 2 3 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 4 3 4 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 6 5 5 4 4 4 4 5 4 3 3 4 5 5 4 4 5 6 5 6 7 7 7 6 5 3 1 1 1 2 4 5 5 5 4 4 3 4 4 4 6 6 6 6 5 5 5 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 3 3 4 4 3 3 3 4 4 3 4 4 4 4 5 5 5 5 5 9 11 15 18 20 19 17 14 11 8 9 5 -4 -11 -13 -14 -11 -2 -1 -1 1 2 4 4 4 3 3 4 4 5 5 6 11 18 20 18 17 14 8 5 6 1 9 14 8 7 7 2 2 2 3 4 5 6 7 6 5 6 13 21 18 8 5 8 14 12 8 2 -1 0 10 18 10 5 6 8 9 7 5 2 -1 -1 1 -0 -2 2 12 16 8 5 6 8 5 -1 -0 9 16 17 12 9 9 10 10 7 4 5 8 7 7 11 13 8 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 4 4 4 5 6 7 8 8 7 6 6 7 7 6 6 7 7 7 7 6 5 4 3 3 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 5 4 3 4 3 4 4 4 4 5 4 5 5 5 5 5 6 5 5 4 4 4 5 8 11 11 9 6 4 3 2 2 2 2 3 3 4 4 3 2 2 2 1 1 1 3 4 7 12 20 22 15 6 4 7 7 5 5 5 6 7 7 7 7 6 7 8 7 5 4 4 8 10 8 5 3 2 3 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 6 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 5 4 5 6 6 6 5 5 5 5 5 4 5 5 4 4 4 4 4 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 7 6 6 5 4 4 5 5 5 4 4 5 4 4 3 3 3 5 5 5 6 7 7 6 5 4 2 1 0 1 2 4 5 5 5 4 4 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 5 5 6 5 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 7 12 14 17 19 16 12 10 10 8 3 0 -4 -9 -8 -3 2 5 6 2 1 2 4 4 5 4 3 3 4 5 5 5 8 14 20 19 15 13 12 6 4 6 4 9 11 8 7 4 -0 2 4 4 4 5 5 6 5 6 10 18 20 10 4 5 9 11 14 13 4 -0 7 19 21 10 5 7 7 6 3 3 4 3 1 3 7 3 0 7 13 11 6 3 11 6 -0 3 10 13 12 9 8 7 7 7 5 4 5 7 6 7 14 15 8 5 5 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 4 4 5 5 5 5 5 6 6 6 7 7 8 7 6 6 6 6 6 6 6 7 7 6 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 5 4 4 5 6 6 6 6 5 4 4 4 4 5 8 11 12 10 6 4 3 3 2 2 2 3 3 3 3 3 2 2 2 1 1 2 3 4 7 11 12 10 8 8 8 6 5 5 6 6 8 8 7 6 5 6 10 10 7 3 2 6 9 9 7 5 4 5 6 5 5 5 5 5 5 5 6 6 5 6 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 7 6 6 6 5 5 6 5 6 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 6 6 5 5 5 4 5 5 6 6 6 6 5 3 3 2 2 4 5 5 5 6 7 6 6 5 4 2 1 1 1 2 4 5 5 5 4 4 4 5 6 6 6 5 5 4 5 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 6 5 5 5 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 5 5 9 14 15 15 13 8 7 8 11 9 6 4 0 -2 1 8 12 10 7 4 3 4 5 5 6 5 4 3 5 5 6 8 12 17 18 14 9 8 9 6 3 2 3 6 7 4 4 6 2 0 2 2 4 6 4 3 4 7 13 17 9 0 2 5 5 6 12 15 10 6 11 16 15 8 4 4 5 3 1 4 7 3 -2 3 10 7 2 4 6 6 3 4 11 2 -3 11 17 13 10 4 2 1 3 4 2 2 4 5 5 8 13 13 7 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 5 5 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 4 4 5 5 5 6 6 6 5 6 7 7 7 6 6 6 6 6 6 7 7 6 6 5 5 4 4 4 4 4 3 3 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 6 5 5 4 5 5 5 7 11 12 8 5 3 3 2 2 2 2 2 3 3 3 3 3 2 1 1 1 2 3 5 7 8 7 9 12 10 7 5 6 6 7 7 8 7 4 2 4 9 11 8 4 0 1 5 7 6 5 4 4 5 4 5 5 5 4 4 4 4 4 4 5 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 6 6 5 4 4 5 6 7 7 7 7 5 4 4 2 2 3 4 5 5 6 7 7 6 6 6 5 3 1 0 1 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 7 7 6 6 5 5 5 5 5 5 5 4 5 5 5 4 4 5 4 5 5 6 6 6 6 6 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 12 16 13 10 7 5 7 9 11 11 14 20 18 14 14 15 13 8 5 4 5 5 5 6 6 5 4 4 5 6 9 12 15 16 14 9 4 3 5 6 6 4 3 4 6 3 1 7 8 6 5 4 8 8 4 2 3 8 14 15 4 -4 2 7 7 6 9 14 16 14 12 13 13 7 3 4 5 1 -0 3 4 -5 -5 2 5 5 4 3 2 0 2 7 11 -2 -2 18 26 15 5 -5 -7 -3 1 2 2 3 4 4 5 6 9 9 7 5 5 5 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 5 4 3 3 2 2 2 2 2 3 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 6 7 7 7 6 6 6 6 6 6 6 6 7 6 5 5 5 4 4 4 4 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 7 7 6 5 5 5 5 5 5 6 8 9 7 4 3 2 2 2 1 2 2 3 3 3 4 3 2 1 1 1 2 5 7 7 7 10 14 13 8 6 6 6 6 7 7 6 3 1 3 5 8 8 5 1 -1 1 3 4 4 4 3 4 4 3 5 5 4 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 7 7 6 5 4 5 5 6 7 8 7 6 6 5 5 4 3 3 3 4 5 6 6 6 6 7 8 9 6 3 1 1 2 3 3 3 4 5 5 5 5 4 5 6 5 5 6 8 7 6 5 6 6 7 7 7 6 5 5 5 4 4 4 4 5 5 5 5 4 4 5 4 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 4 4 5 8 12 16 16 11 7 6 7 8 8 9 10 16 27 26 19 15 11 7 5 4 5 5 6 6 6 6 5 4 5 6 8 12 15 15 12 10 9 6 4 1 0 5 11 11 9 8 5 4 5 9 8 4 6 15 11 6 1 4 8 12 15 6 -2 2 6 7 8 9 12 15 16 12 11 9 5 5 7 6 0 -2 2 2 -1 2 5 5 7 7 2 -0 1 3 5 4 -0 6 23 29 13 -3 -12 -8 0 3 4 6 5 4 4 5 6 8 12 10 5 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 3 3 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 6 6 6 6 7 7 6 5 5 5 5 5 4 3 2 2 2 3 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 6 6 6 4 3 2 2 1 1 1 2 3 4 4 4 3 2 2 1 2 4 6 7 7 9 14 14 9 6 6 6 6 5 6 5 4 4 3 4 5 6 6 3 0 1 2 4 4 4 3 2 2 3 3 4 4 3 3 3 3 4 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 8 8 8 7 6 5 5 5 6 7 8 7 6 6 5 5 5 5 4 4 5 6 6 5 5 5 6 9 10 8 5 2 2 2 2 2 3 3 4 5 6 6 5 5 5 4 4 6 7 7 5 4 5 5 6 6 7 7 6 5 5 5 4 4 3 4 5 6 5 5 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 8 14 17 15 10 6 6 7 7 7 8 7 7 10 12 10 7 4 2 1 2 4 5 5 5 7 7 6 4 4 6 8 10 14 16 13 9 9 13 13 8 2 -1 2 10 14 13 9 7 5 1 1 4 4 7 14 10 5 3 7 7 9 11 6 4 7 5 2 3 5 9 11 8 7 8 6 3 5 7 5 1 1 6 7 8 9 10 12 10 7 1 -0 1 -1 -1 -1 6 12 27 25 5 -10 -9 2 11 11 11 10 7 5 5 5 6 9 14 12 5 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 4 4 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 5 5 5 6 5 5 6 5 5 5 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 2 2 2 3 4 4 4 4 3 2 2 2 1 1 2 2 3 3 3 4 4 4 4 4 4 4 5 6 7 6 5 5 5 4 4 4 4 4 5 6 5 3 2 1 1 1 1 2 4 4 4 4 3 2 2 1 2 4 5 6 8 12 13 10 7 6 6 5 5 5 5 5 5 5 5 5 5 6 5 3 2 3 4 4 3 4 3 3 2 2 3 4 4 4 4 4 4 3 4 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 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 5 6 7 8 8 8 8 8 7 6 5 6 7 7 7 6 5 5 5 5 6 5 5 5 5 5 4 4 4 5 7 10 9 6 3 2 2 3 3 3 3 3 4 5 6 6 6 5 4 3 5 6 5 4 3 4 5 5 6 6 6 5 5 4 4 4 4 4 4 5 6 5 5 5 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 8 14 14 9 5 5 6 6 7 6 7 7 4 1 -6 -7 -6 -4 -3 -1 2 4 4 5 5 7 6 4 4 6 8 9 11 14 15 12 7 8 13 15 7 2 3 4 6 9 9 7 7 4 -1 -1 0 1 12 13 6 4 6 9 5 7 10 7 8 8 2 -1 -2 -1 4 5 -1 0 5 4 3 5 5 4 4 8 13 14 14 10 8 10 10 5 1 0 1 -1 -5 1 10 15 30 19 -2 -6 4 15 20 19 16 12 7 5 5 4 5 9 14 13 7 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 5 4 4 4 5 4 5 5 5 5 5 5 5 6 6 5 5 5 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 4 5 4 3 3 3 4 5 4 3 2 2 2 1 2 2 2 3 4 3 3 4 3 3 3 3 4 4 5 6 5 5 5 4 5 5 5 5 5 6 7 6 5 3 1 1 1 1 2 3 4 5 4 3 2 2 1 1 3 4 6 8 10 10 10 8 6 6 5 5 5 5 5 5 6 7 6 6 5 5 5 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 5 4 4 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 5 6 6 7 8 8 8 9 8 7 7 6 6 7 7 6 5 5 5 5 6 6 5 5 4 3 3 2 3 4 6 8 8 7 4 2 3 3 4 4 3 3 3 5 6 7 6 5 4 4 5 6 5 5 4 5 5 6 5 6 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 11 11 7 5 6 6 7 7 7 7 6 3 1 -5 -6 -5 -3 -1 2 4 5 5 5 6 7 6 4 5 8 10 11 11 13 12 10 7 7 11 8 -2 -0 9 10 6 6 6 6 6 4 4 6 1 0 11 9 4 7 10 9 1 7 12 10 10 5 2 4 1 -1 3 2 -0 3 5 3 3 5 6 5 8 12 12 6 -3 -5 1 8 9 5 1 0 1 -0 -0 7 11 22 28 13 -0 4 12 18 20 18 13 7 5 5 5 4 4 9 14 13 8 5 6 6 6 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 6 5 5 5 5 5 5 4 4 5 5 4 3 3 3 3 3 2 2 2 3 4 4 3 4 3 3 3 4 4 4 4 5 5 5 5 5 4 5 8 10 10 10 10 9 8 6 3 1 1 2 2 3 4 4 4 3 2 2 2 1 2 4 7 8 8 8 9 8 7 6 6 5 5 5 5 5 6 7 7 6 5 5 6 5 4 4 4 3 4 4 5 4 4 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 5 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 7 8 9 9 9 8 7 6 6 7 6 6 5 5 5 6 6 5 4 3 2 2 2 3 4 5 6 7 6 5 4 4 4 3 4 4 4 4 4 5 6 7 7 5 4 5 6 6 6 6 6 7 7 6 6 5 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 4 4 3 4 4 5 5 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 5 5 6 5 5 5 5 6 6 9 10 8 7 6 6 7 8 10 6 2 4 6 4 3 2 3 5 7 7 6 5 5 7 7 7 6 8 10 12 12 10 10 8 6 7 8 12 7 1 4 9 6 4 6 7 6 4 5 9 11 7 5 7 6 7 8 10 3 -0 9 14 11 11 8 9 11 9 10 12 8 9 11 7 3 1 3 7 5 6 8 4 -2 -10 -8 1 4 -1 -2 1 4 2 -1 4 8 11 23 22 12 8 9 11 12 13 11 6 3 4 5 5 5 6 11 17 16 8 5 6 6 6 5 5 5 4 4 3 3 4 4 4 5 5 4 4 4 4 4 6 6 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 6 6 7 7 7 6 6 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 3 3 4 4 3 4 4 4 5 5 5 5 4 5 4 5 9 12 12 12 13 14 13 10 7 4 2 2 2 3 4 4 4 3 2 2 2 2 2 4 7 7 6 7 7 8 7 6 5 5 5 6 5 4 5 7 7 7 6 6 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 12 12 12 16 16 15 17 19 19 16 -1 4 24 22 13 10 14 12 7 8 6 6 7 11 16 16 15 11 10 11 11 11 10 9 10 9 10 10 9 8 9 10 12 14 11 11 12 14 17 20 22 22 22 21 20 16 13 12 13 14 18 21 21 20 19 17 15 13 11 8 5 5 9 10 9 8 8 9 10 10 11 11 11 10 10 11 11 10 10 10 10 11 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 7 8 8 9 10 10 8 8 9 11 13 14 13 10 8 8 9 11 12 13 13 13 14 15 16 17 19 19 19 19 20 19 16 14 13 14 15 15 15 16 17 18 19 19 16 15 16 13 10 11 10 9 8 9 10 11 13 15 17 17 15 13 12 12 13 15 14 14 14 15 17 19 19 20 19 18 18 19 20 20 20 22 23 24 21 19 15 12 10 10 10 10 12 14 15 16 15 13 13 13 14 14 12 11 10 10 11 12 13 14 13 13 12 12 12 12 13 13 11 11 10 11 12 12 12 12 12 12 12 12 12 13 13 14 14 13 11 11 11 12 12 11 10 11 10 11 12 13 12 12 11 11 12 14 14 14 13 12 12 12 12 12 12 12 10 9 8 7 7 8 8 9 9 10 11 11 13 13 12 12 12 12 13 12 12 12 9 7 3 2 4 3 7 12 14 14 14 13 11 9 9 9 10 10 10 11 11 11 11 10 10 10 10 11 12 14 16 17 18 16 13 10 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 10 12 12 12 12 11 11 12 13 13 13 13 12 15 16 15 12 13 19 18 13 8 4 0 1 8 13 14 13 12 13 14 16 17 16 16 18 21 28 31 29 27 25 24 22 18 12 10 9 9 9 10 12 12 10 8 6 7 9 11 11 11 12 13 12 11 11 11 12 11 9 8 8 8 8 9 10 11 11 12 12 12 13 15 18 17 16 13 11 9 9 9 10 11 12 12 12 11 12 15 15 13 11 13 14 13 11 11 11 12 13 14 14 14 12 12 11 10 10 10 11 11 12 12 12 12 12 11 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 13 6 -9 6 21 23 19 19 20 22 14 3 4 3 3 7 14 18 14 12 11 13 14 13 11 10 9 8 9 10 10 9 10 12 15 16 15 15 16 18 20 22 22 20 17 14 14 14 14 16 17 19 21 21 20 17 14 10 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 11 11 11 11 12 13 11 9 8 8 8 10 11 11 12 13 14 14 15 16 17 18 20 20 19 20 20 18 18 18 19 18 17 16 16 17 17 17 17 15 13 13 11 8 8 8 9 9 9 9 9 10 12 15 16 17 16 14 12 12 12 12 12 13 14 15 16 18 20 22 19 15 14 12 12 14 16 18 21 22 23 22 21 18 15 10 7 8 11 13 14 13 12 12 12 13 13 13 13 13 12 12 12 11 11 11 12 12 12 13 12 12 11 10 9 9 11 13 13 12 12 13 13 12 12 11 11 11 9 9 9 10 11 11 10 10 10 10 10 10 10 11 11 10 11 12 12 12 13 13 13 12 13 12 12 13 12 12 12 11 11 10 10 9 9 10 9 9 10 10 11 12 12 12 12 12 12 13 12 10 8 6 4 -0 1 10 15 16 14 13 13 12 10 8 7 8 9 10 11 11 11 11 11 11 10 10 10 9 11 12 14 16 17 17 15 13 10 9 9 10 10 10 9 9 9 10 11 12 11 9 8 9 9 10 12 12 12 12 11 11 12 11 13 13 13 13 14 14 14 14 14 14 12 7 4 4 6 8 13 15 14 12 11 12 14 16 17 16 16 19 24 30 32 31 31 28 22 18 11 8 8 10 11 11 12 13 13 14 13 11 9 9 9 9 11 13 14 14 13 13 12 12 12 12 11 9 9 9 11 12 13 13 15 15 15 16 17 17 17 13 10 11 12 14 15 16 15 13 13 12 12 11 11 12 11 11 13 14 12 11 12 13 13 14 15 13 12 12 11 11 11 10 10 11 12 12 11 12 11 11 10 10 10 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 17 18 23 26 9 1 7 7 6 8 12 12 10 12 15 15 15 13 11 10 9 9 9 10 10 10 12 14 17 19 19 18 19 18 18 17 16 14 11 12 14 16 19 21 22 21 19 16 13 12 9 6 4 4 7 9 10 6 4 5 5 6 6 6 7 8 8 8 9 9 8 7 7 7 8 9 9 10 10 11 12 11 11 11 11 11 11 11 10 10 10 10 8 8 9 9 10 11 11 12 13 13 13 13 12 10 9 9 10 11 11 10 10 10 12 12 13 13 12 13 13 14 14 14 15 17 18 20 21 21 19 17 16 17 17 17 16 15 14 13 11 9 8 9 11 13 14 13 11 10 10 10 11 13 13 14 14 12 12 12 11 12 12 11 11 9 9 11 15 18 19 18 15 13 11 10 10 13 18 21 23 26 26 23 19 17 15 14 12 11 11 12 13 13 13 14 14 15 15 14 14 13 12 12 12 12 13 13 14 14 13 11 10 10 12 13 13 14 13 13 13 12 13 12 11 12 11 9 8 9 10 11 11 11 12 12 11 10 9 9 9 9 9 9 10 12 13 13 13 13 12 11 12 11 11 11 11 10 10 11 11 10 10 9 9 9 9 10 11 12 13 12 12 13 13 14 13 11 8 4 3 5 8 10 14 17 16 13 12 11 11 9 8 7 7 9 10 12 12 12 12 12 11 10 8 8 10 12 13 15 15 16 16 14 12 11 10 9 10 10 9 9 9 9 10 11 11 10 8 8 9 9 10 11 11 11 11 11 11 11 12 12 13 12 13 15 16 16 15 14 11 8 7 7 10 13 14 14 13 13 13 12 13 14 15 16 17 18 20 26 33 36 34 29 24 20 13 9 7 9 13 14 15 15 15 15 15 14 13 12 11 9 8 9 11 13 14 14 14 13 12 13 14 13 12 12 10 11 11 10 11 12 12 12 13 14 15 16 13 12 12 12 13 15 16 15 14 13 13 12 13 12 12 10 12 15 14 13 14 14 14 14 13 12 12 12 11 11 10 11 10 10 11 11 12 11 10 10 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 13 13 10 10 13 16 15 14 12 11 10 9 10 10 10 10 11 13 16 19 20 20 20 18 15 12 12 11 10 9 10 14 19 21 22 19 16 11 7 6 6 5 5 5 6 7 8 7 3 4 5 6 7 8 8 8 7 8 10 10 10 10 9 9 9 10 11 12 13 14 14 14 14 15 15 15 14 13 14 13 12 12 12 11 11 11 10 9 9 10 12 13 14 12 11 11 12 12 13 13 13 11 11 11 10 10 9 8 7 7 7 8 7 8 9 10 11 12 15 16 17 16 16 17 20 21 21 19 17 14 12 11 10 10 12 14 16 16 14 12 11 10 10 9 9 9 10 11 12 12 12 12 11 11 11 11 9 6 5 7 10 15 18 18 15 14 14 14 14 14 15 16 20 25 25 24 24 23 21 19 16 12 12 14 15 17 17 17 18 17 16 14 11 12 12 14 15 14 14 15 14 13 11 10 10 11 13 13 13 14 14 14 13 13 13 12 11 11 11 10 10 10 11 12 13 13 12 10 9 9 10 10 11 10 10 12 12 13 13 13 12 10 10 9 9 10 10 10 11 10 9 9 9 10 9 9 10 11 12 13 13 14 15 15 16 15 13 10 9 7 6 8 10 12 13 14 15 14 12 11 11 10 10 9 9 10 10 11 12 13 13 13 11 10 9 8 8 10 13 15 15 14 14 14 13 12 12 11 10 9 9 8 8 9 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 13 12 12 12 15 18 18 15 12 11 10 10 9 11 13 13 13 12 11 12 14 13 14 14 15 16 17 18 20 24 31 38 36 28 22 17 10 7 5 8 11 14 17 18 17 17 16 15 13 11 10 10 9 9 11 13 14 16 16 15 14 13 12 12 12 12 11 12 13 11 9 7 8 10 12 15 16 15 13 12 10 9 9 10 11 12 11 11 14 16 17 16 15 12 12 13 15 14 15 16 15 14 12 11 12 12 11 12 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 11 10 9 10 10 9 10 12 14 17 19 20 19 17 15 14 13 11 10 9 10 15 19 20 19 17 13 8 4 2 2 3 4 6 7 8 8 6 3 3 5 7 8 9 10 9 9 8 9 12 12 11 12 12 11 11 13 14 16 17 17 16 16 17 17 17 17 17 17 17 16 15 15 15 14 14 13 12 11 11 11 12 13 13 11 11 12 13 13 13 13 13 12 11 11 11 10 9 8 7 7 6 5 6 6 6 8 10 10 10 10 10 11 15 18 22 23 22 21 19 14 11 10 11 12 13 13 15 15 13 11 11 10 10 9 9 9 10 11 12 12 12 12 11 12 12 12 12 10 9 7 8 12 19 22 17 15 14 14 14 14 14 14 15 16 17 18 20 20 19 21 23 20 17 17 18 21 23 23 22 18 15 11 9 9 9 11 14 16 17 16 15 12 10 9 10 11 13 14 13 13 13 12 11 11 10 9 9 9 9 9 9 10 10 11 12 12 12 11 10 11 12 14 14 13 11 10 9 10 11 11 10 10 10 9 10 10 10 9 10 9 9 9 9 9 10 11 12 14 15 16 16 16 17 17 17 15 12 10 9 11 14 15 13 11 11 12 12 12 12 12 11 11 11 10 11 11 11 12 12 13 12 11 9 7 8 8 10 11 14 15 13 12 12 12 12 12 12 11 10 9 9 8 8 9 9 9 8 8 9 10 11 11 11 10 10 11 12 12 12 12 13 13 12 12 12 15 17 14 10 8 9 12 11 10 12 12 12 12 11 13 14 14 14 13 14 15 16 17 17 18 23 29 36 37 29 23 15 10 9 8 7 7 12 16 18 18 17 16 14 11 9 9 9 11 12 14 16 16 16 16 15 14 13 12 11 12 13 13 15 17 15 12 12 13 13 12 13 13 13 13 11 10 11 11 11 13 12 10 11 13 16 16 17 16 15 14 13 13 13 15 17 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 31 30 31 29 26 23 20 14 10 9 9 10 11 11 12 12 12 11 9 8 7 7 7 6 6 6 6 5 4 5 5 5 6 6 6 5 5 5 7 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 4 2 1 0 1 1 2 2 3 4 6 6 7 7 8 7 7 6 6 7 7 8 8 7 7 7 8 9 9 9 7 6 6 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 4 2 4 3 0 0 1 19 49 61 75 85 75 66 68 72 72 63 40 16 6 3 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 29 50 90 126 140 155 165 158 148 144 150 147 134 119 122 128 130 129 122 116 107 90 70 51 38 35 47 61 68 70 73 75 75 75 77 81 84 81 78 76 77 81 85 80 78 86 102 107 103 107 108 105 104 104 106 110 113 110 102 83 56 32 20 17 20 20 17 14 14 14 14 18 24 30 37 46 50 51 48 44 39 35 33 34 41 57 73 76 65 65 76 86 83 74 63 45 20 3 4 9 15 25 42 52 35 17 6 0 0 0 0 0 0 0 0 4 20 36 48 48 49 63 92 120 137 146 148 138 126 111 86 60 42 33 35 50 65 66 64 57 41 24 14 9 12 21 31 47 69 86 101 107 103 128 158 155 154 158 148 139 156 160 148 142 146 151 154 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 29 28 28 29 29 27 25 19 11 8 8 9 10 12 12 12 13 12 10 8 7 7 7 6 6 5 4 3 3 3 4 4 5 6 6 5 4 5 6 8 9 8 6 6 6 6 7 7 7 6 6 5 5 4 5 5 5 5 6 6 6 5 4 3 2 1 1 1 2 3 4 4 6 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 9 10 8 6 5 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 19 24 12 1 0 1 1 0 5 18 21 23 46 53 41 37 47 54 48 37 17 6 3 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 26 42 67 96 112 129 141 114 108 126 143 136 125 115 124 128 129 131 127 118 105 88 66 43 27 21 29 44 51 51 55 59 63 65 68 72 76 78 77 74 75 80 85 83 80 84 95 101 100 98 94 90 86 84 86 93 105 116 120 113 98 78 62 52 46 41 35 31 30 32 33 35 39 42 48 53 54 50 45 40 35 30 28 31 40 56 75 89 90 84 88 94 89 71 58 45 24 2 0 1 6 7 8 20 4 14 12 1 0 0 0 0 0 0 0 0 3 9 26 31 36 48 70 99 121 131 137 137 137 135 122 100 73 60 66 76 79 82 84 81 69 54 48 49 57 67 76 88 100 117 138 147 130 146 154 137 138 146 142 138 153 153 145 143 146 149 150 151 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 nan 29 29 27 26 27 30 30 28 23 15 9 7 7 9 12 12 12 12 12 11 10 8 7 7 7 6 5 4 2 2 2 3 4 4 5 6 6 5 6 6 7 8 7 7 6 6 6 6 6 7 7 7 6 5 4 4 4 5 5 5 6 6 6 6 5 4 2 2 1 1 2 2 2 4 6 6 6 6 5 4 4 5 6 7 8 8 8 8 8 9 9 9 8 7 6 4 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 35 48 40 25 20 14 8 2 5 11 7 7 14 17 11 8 16 22 16 12 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 20 32 49 68 85 104 116 90 93 120 134 127 120 115 121 121 120 122 123 120 103 81 59 36 20 13 16 28 35 34 36 43 50 55 58 60 65 71 74 72 71 72 74 76 78 80 89 94 91 87 81 76 74 73 74 78 86 100 112 119 119 106 91 79 70 62 58 55 54 54 55 55 53 52 51 50 47 43 40 38 34 29 26 29 38 52 70 94 103 96 91 87 78 58 45 35 21 6 0 1 6 8 7 8 3 2 9 4 0 0 0 0 0 0 0 0 0 2 8 13 25 40 57 78 99 113 120 126 137 145 145 133 116 102 99 101 105 108 108 104 97 83 80 88 96 107 104 106 116 133 153 162 153 147 134 130 136 143 141 141 150 146 142 144 145 143 141 141 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 30 30 29 26 26 30 32 30 25 18 12 9 8 9 11 12 11 11 11 12 12 12 11 10 9 8 6 5 4 3 3 3 3 3 4 6 6 6 7 7 6 6 7 6 6 6 6 6 6 6 7 7 6 6 4 3 3 3 4 4 5 4 4 5 5 4 4 3 3 2 2 2 1 2 3 5 5 5 4 2 3 4 6 6 7 7 8 8 8 8 8 8 7 7 8 6 4 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 18 36 55 58 48 30 18 11 2 2 3 2 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 23 37 48 63 84 96 92 97 115 123 119 118 115 111 108 108 112 120 123 109 76 45 25 14 8 8 16 23 24 25 31 40 46 49 51 55 62 70 71 68 67 67 69 73 75 82 87 82 73 66 64 66 70 72 74 77 82 90 98 106 107 98 88 80 75 72 70 68 65 63 62 58 54 49 44 40 39 38 35 30 24 19 20 27 38 64 96 106 90 79 73 64 47 34 27 22 12 4 3 5 8 10 10 5 9 17 13 4 0 0 0 0 0 0 0 0 3 12 25 37 49 59 69 84 97 106 114 129 144 154 155 148 136 128 130 138 143 138 131 124 104 91 96 106 111 111 116 127 139 149 151 142 131 126 130 139 141 134 134 137 131 129 132 134 131 128 128 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 31 31 32 30 28 31 32 29 25 21 17 13 11 10 10 10 10 10 11 11 12 12 11 10 10 11 8 6 5 5 4 3 2 2 3 4 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 2 3 3 1 2 3 5 5 6 6 7 8 8 8 8 7 6 6 7 8 6 4 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 1 0 2 6 11 16 21 34 48 49 40 25 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 25 36 48 65 77 81 88 98 102 99 97 93 88 84 83 88 98 102 98 72 36 14 7 3 3 8 16 22 26 30 35 40 41 43 47 54 63 69 69 69 69 70 73 78 86 88 77 62 54 54 60 66 71 75 80 84 83 82 84 85 85 80 76 75 74 73 68 63 58 54 53 53 51 47 43 39 34 29 22 15 10 9 14 26 57 90 94 75 61 53 46 35 27 27 31 25 15 9 7 8 10 9 12 23 33 31 20 8 0 0 0 0 0 0 0 2 13 35 44 58 59 58 72 86 98 106 118 131 145 159 159 155 149 149 157 166 162 154 145 123 102 99 106 110 114 124 138 144 138 129 119 114 119 131 139 138 128 125 125 119 115 114 113 110 105 102 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 33 32 33 32 30 29 30 27 23 21 20 18 16 12 10 9 10 10 10 10 11 11 10 9 9 11 10 8 7 7 6 4 3 2 2 3 5 6 7 8 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 2 2 2 2 2 2 2 2 2 3 5 6 6 6 6 4 2 1 1 0 1 1 0 3 4 4 4 5 6 7 8 8 8 7 5 5 6 8 7 6 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 1 2 1 5 10 13 16 17 27 41 41 32 25 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 23 36 48 54 58 67 72 71 66 58 48 39 37 39 42 46 50 54 49 28 10 3 1 0 4 11 22 32 37 39 38 36 35 37 43 53 63 69 72 73 74 76 83 91 88 75 56 45 44 47 50 55 63 76 86 86 81 74 69 67 66 65 67 70 72 71 66 62 58 58 62 63 60 53 45 37 27 17 10 7 8 13 25 60 89 88 66 47 36 30 23 19 25 34 33 23 12 7 7 9 11 17 26 37 46 43 22 4 0 0 0 2 3 2 2 15 30 39 52 45 41 55 72 87 97 106 117 131 144 152 156 156 158 164 172 173 168 158 139 114 101 106 114 122 135 149 147 133 117 108 104 108 120 130 132 121 115 116 115 108 101 93 84 73 67 73 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 34 33 32 33 33 30 27 26 24 20 18 18 17 16 12 9 9 10 9 9 9 10 10 10 9 10 11 12 11 10 10 9 6 4 2 2 3 5 6 7 8 8 7 6 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 2 2 2 2 2 2 2 4 5 6 6 6 6 4 2 1 0 0 0 0 0 1 2 4 4 5 6 7 7 7 7 6 5 6 7 7 7 4 2 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 2 6 14 23 30 31 31 35 42 42 36 31 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 20 30 34 38 46 46 40 32 23 14 7 4 6 8 3 2 10 13 10 4 1 0 0 2 8 19 31 39 40 38 35 31 28 30 37 49 61 70 73 76 80 87 96 92 72 53 44 37 32 28 28 37 52 66 73 71 65 59 55 54 55 58 61 66 70 72 72 73 76 77 73 67 59 48 36 22 13 12 15 22 31 48 77 93 80 55 35 24 17 12 10 12 20 25 20 10 4 4 4 5 12 22 34 48 59 46 12 0 0 0 3 9 9 8 20 30 31 31 23 22 33 48 65 80 91 101 112 120 132 146 155 159 164 170 174 171 160 144 126 115 116 125 135 147 156 153 135 117 106 98 99 109 119 121 112 108 109 109 101 91 79 63 48 41 46 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 29 30 30 32 33 31 27 24 22 19 16 14 11 10 10 10 10 10 9 8 7 8 10 11 10 11 12 13 12 12 12 12 8 5 3 3 4 5 6 7 8 8 7 6 4 4 3 3 3 4 4 5 5 5 5 5 5 6 6 5 4 3 3 2 2 2 2 2 2 2 4 5 6 6 6 6 4 3 2 1 0 0 0 0 0 3 3 4 4 5 6 6 6 7 6 6 6 6 7 6 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 29 31 29 34 36 42 50 53 47 39 21 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 18 21 26 24 14 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 23 31 35 35 33 30 27 26 28 36 47 59 65 71 80 93 98 89 73 55 45 34 24 17 13 16 22 28 35 40 40 39 38 38 40 44 48 53 59 67 73 78 82 80 73 67 58 41 22 10 10 20 33 48 62 80 95 93 70 43 25 14 8 5 4 3 4 8 10 8 6 4 4 4 5 11 18 32 56 66 35 10 2 0 3 10 13 16 22 26 25 18 10 9 13 19 33 50 64 77 85 92 107 126 140 149 160 168 171 168 158 143 127 121 123 129 134 141 146 144 129 113 104 98 98 100 103 106 105 102 100 95 87 77 65 48 32 26 30 34 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 21 24 25 28 31 32 30 27 23 19 15 12 9 8 9 10 11 11 10 8 7 6 7 10 11 11 12 12 13 13 13 13 11 6 4 4 4 5 5 7 8 8 7 6 5 4 3 2 2 2 2 3 4 4 4 4 5 5 5 5 5 4 4 3 2 2 2 2 2 2 2 4 5 6 6 6 6 4 3 2 1 0 0 0 0 1 1 1 4 4 5 6 6 6 6 6 6 6 6 7 4 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 22 30 21 15 25 40 49 57 59 54 35 14 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 1 4 5 8 11 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 7 14 19 23 26 28 28 27 25 26 30 38 46 51 54 67 92 108 98 82 65 53 39 27 19 15 12 9 8 6 9 12 13 15 17 20 25 32 39 46 54 64 72 73 70 67 62 47 25 9 5 14 29 47 66 83 94 95 82 56 32 17 8 3 2 1 1 1 1 3 5 6 5 5 5 5 6 6 13 36 62 63 36 10 2 2 6 12 20 28 30 23 13 5 2 3 6 12 20 30 44 59 71 84 101 118 131 146 162 167 159 149 134 121 116 114 115 115 117 121 118 107 97 95 98 100 94 92 98 99 94 88 80 70 60 50 36 24 18 22 29 nan nan nan nan nan nan nan nan 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 18 20 23 28 31 32 30 26 19 14 12 9 8 9 11 12 12 10 9 7 6 7 10 11 10 11 12 12 13 13 13 12 8 5 5 4 4 5 7 8 8 8 7 6 4 3 2 2 2 1 1 2 2 2 3 4 5 5 5 5 5 4 3 2 2 2 2 2 2 2 3 4 6 6 6 6 5 4 4 3 2 0 0 0 0 0 0 0 2 5 5 6 6 6 6 6 6 6 6 5 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 7 2 0 9 12 12 18 25 41 47 48 50 43 25 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 2 5 4 1 2 5 8 12 15 18 22 24 22 19 18 22 29 38 44 42 47 73 108 121 104 85 72 55 43 34 24 18 13 8 4 3 4 4 4 4 6 9 16 26 36 46 56 61 60 60 60 53 29 8 1 5 15 29 45 64 78 80 71 55 38 23 11 4 1 0 1 0 0 0 0 1 2 4 7 9 11 12 11 11 22 44 58 42 14 3 1 2 4 10 21 23 19 11 4 1 1 3 5 6 10 19 33 54 72 83 96 107 118 135 143 136 122 111 105 102 99 94 90 90 95 91 80 74 80 91 93 91 94 97 94 87 79 68 56 45 36 27 18 13 17 24 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 12 12 14 16 19 23 28 31 32 30 23 16 12 11 10 10 10 10 10 10 9 8 8 10 12 12 10 9 10 12 13 13 13 13 11 9 6 4 4 5 6 8 8 8 7 7 5 3 2 2 1 1 0 1 1 1 2 2 2 3 4 5 5 5 4 3 2 2 2 2 3 2 2 4 5 6 6 6 6 5 4 4 4 3 2 2 1 0 0 0 0 2 4 5 5 5 6 6 6 6 6 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 15 21 14 3 1 4 19 32 32 27 27 31 38 30 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 17 16 17 14 9 10 11 15 18 18 15 12 11 12 16 27 40 45 37 48 82 115 119 109 98 84 74 61 40 24 17 15 13 11 10 8 6 4 3 3 6 13 25 40 49 48 47 51 54 40 14 1 1 3 9 18 29 42 51 52 46 35 24 12 3 1 0 0 0 0 0 0 0 0 1 4 9 15 20 22 21 19 22 33 41 31 12 1 0 0 0 3 10 15 15 11 5 1 0 1 2 2 4 12 24 41 60 72 79 85 93 101 105 98 88 81 79 79 77 72 67 67 69 64 56 55 64 74 78 81 83 85 84 79 70 58 45 33 24 19 13 9 10 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 9 9 10 14 17 20 24 27 30 31 29 22 17 14 11 9 8 8 8 10 10 9 9 11 13 13 11 9 9 11 12 12 12 13 14 13 10 6 5 6 6 7 8 8 8 7 6 4 3 2 2 1 0 0 0 1 1 1 1 2 2 3 4 4 4 3 2 2 2 2 2 2 3 3 5 6 6 6 6 6 5 4 4 4 4 4 4 2 1 0 0 2 4 5 5 5 6 6 6 6 6 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 28 13 2 1 14 18 12 7 14 22 28 21 11 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 2 2 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 12 24 31 34 34 28 20 17 15 16 17 14 13 13 12 11 11 17 33 48 46 41 52 81 102 111 116 117 111 91 57 28 17 17 20 21 17 12 7 4 2 2 3 6 15 29 38 37 37 45 47 26 5 0 0 2 3 5 11 19 26 31 30 24 14 5 1 0 0 0 0 0 1 1 1 0 1 5 12 19 25 27 25 23 23 26 29 24 12 2 0 0 0 1 4 8 8 7 4 1 0 0 0 0 1 8 22 36 50 60 65 66 70 73 74 70 64 60 57 55 56 54 52 52 49 42 40 42 47 51 51 52 61 66 68 65 57 47 35 24 16 12 8 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 6 8 11 15 18 20 22 25 29 31 28 24 18 13 10 8 8 8 10 12 11 11 12 14 14 12 10 10 11 11 10 10 11 13 14 14 12 10 10 9 8 8 8 8 7 6 5 4 4 3 2 1 0 0 0 1 1 1 1 1 2 3 3 3 3 2 2 2 2 2 2 2 3 4 5 6 6 6 6 6 6 5 4 4 4 5 5 4 2 0 2 5 6 6 6 6 6 6 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 28 30 11 1 0 2 2 1 1 8 16 19 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 4 7 5 3 1 0 0 0 0 0 0 5 15 18 16 14 10 10 21 31 39 41 40 35 29 26 24 22 20 15 16 18 17 17 17 20 31 49 61 54 44 50 68 90 112 128 129 101 57 26 16 18 22 22 15 7 2 0 1 1 1 3 9 18 25 29 34 44 41 13 1 0 0 0 0 0 2 5 10 16 16 11 4 1 0 0 0 0 0 1 3 4 4 4 4 8 13 19 24 26 23 20 18 17 16 18 14 4 0 0 0 0 2 4 3 2 1 0 0 0 0 0 0 2 8 20 33 42 47 47 48 51 54 56 55 52 50 49 50 51 50 47 40 33 30 30 31 31 31 35 42 48 49 47 40 32 22 15 10 8 7 5 4 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 7 7 9 13 16 18 19 20 22 27 30 28 23 17 13 10 9 9 11 12 12 11 12 13 14 13 12 12 13 12 10 9 9 11 12 14 15 14 14 12 10 8 7 7 7 7 5 4 4 4 3 2 0 0 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 5 6 6 6 6 6 5 4 3 4 5 5 4 3 2 5 7 6 6 7 6 6 6 6 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 27 28 14 2 0 0 0 2 4 9 12 12 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 6 3 1 2 1 0 1 10 29 46 53 48 40 36 37 40 44 44 40 34 28 28 32 32 27 23 25 23 18 16 17 23 36 59 77 69 54 53 65 82 101 115 110 77 37 17 16 21 23 16 7 2 0 0 0 0 0 1 5 11 18 24 34 44 36 6 0 0 0 0 0 0 0 0 2 4 5 2 1 1 2 2 3 2 2 3 6 9 11 10 9 10 13 14 16 17 17 16 16 14 10 10 14 7 2 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 4 12 20 25 26 28 31 36 41 44 45 46 48 51 51 49 42 30 22 20 20 20 21 23 26 31 36 37 36 30 22 14 9 7 6 6 5 3 1 0 nan nan nan nan nan 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 8 9 10 12 14 14 14 14 14 18 24 28 27 22 18 14 10 9 10 11 12 13 15 17 17 15 14 14 15 15 13 10 9 9 10 12 13 13 14 14 12 8 6 5 6 6 5 4 4 4 4 3 2 2 2 1 1 0 1 1 1 1 1 1 2 2 2 1 1 2 2 2 2 2 2 2 4 5 6 6 5 6 6 5 4 4 4 5 5 4 3 4 5 1 1 1 2 2 3 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 2 0 0 0 0 1 3 9 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 8 6 5 2 0 3 14 27 44 65 73 70 68 62 49 44 44 42 35 27 27 35 39 37 33 30 23 13 8 9 20 42 67 78 73 79 91 92 93 96 91 67 34 13 10 17 22 19 7 0 0 0 0 0 0 0 0 1 5 12 20 30 37 27 7 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 14 14 13 12 15 18 19 18 16 13 10 10 10 11 12 14 17 18 13 8 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 10 11 16 21 26 30 36 42 46 45 39 29 19 11 9 11 14 16 18 20 23 27 30 30 27 21 13 8 5 5 4 4 2 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 8 6 8 9 10 11 12 13 12 10 10 12 16 21 25 24 22 18 12 7 7 10 11 11 15 19 20 18 16 16 17 17 16 14 12 10 9 10 11 12 13 13 13 9 4 3 4 5 5 4 4 4 4 4 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 4 5 6 6 6 6 6 5 5 4 4 5 4 3 2 0 0 0 0 0 0 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 1 0 0 0 0 0 0 2 5 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 1 0 0 1 8 22 30 43 60 71 77 71 52 41 40 44 48 40 37 44 50 48 41 33 23 9 3 4 16 38 56 58 67 101 119 104 88 78 59 27 6 2 7 15 18 11 2 0 0 0 0 0 0 0 0 0 0 6 14 20 22 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 26 33 38 40 38 37 33 32 29 24 16 12 10 10 12 16 19 21 21 16 8 3 3 4 3 1 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 9 12 18 27 32 31 26 19 13 9 6 7 10 13 14 14 16 18 22 24 23 20 14 8 4 3 3 2 1 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 14 12 10 10 10 10 11 14 14 12 10 11 12 16 20 23 24 21 15 9 7 10 12 11 11 16 20 21 20 19 18 17 17 17 15 12 10 10 10 11 12 12 12 10 6 3 1 3 5 4 4 4 4 4 5 5 4 3 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 4 5 6 6 5 5 5 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 5 3 0 0 0 0 0 0 0 0 1 3 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 22 29 42 54 58 54 45 37 35 41 52 58 55 59 62 58 48 37 24 11 4 3 11 24 35 45 73 110 106 72 50 40 25 6 0 0 2 6 9 2 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 22 34 47 55 56 56 56 54 50 44 36 29 24 20 20 22 25 27 30 30 20 7 1 3 6 6 3 1 0 0 1 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8 13 16 15 13 12 10 9 8 9 10 11 10 10 11 13 17 19 17 11 6 3 2 2 1 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 16 15 13 12 10 8 10 14 17 16 14 12 13 14 18 22 24 21 16 12 9 11 13 13 12 13 18 22 23 20 18 16 16 16 13 12 12 12 11 11 11 11 11 11 9 5 2 1 3 5 4 4 4 4 5 5 5 4 2 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 6 6 5 5 5 6 5 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 10 2 0 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 19 35 48 46 32 28 27 24 28 41 58 63 69 72 65 52 39 28 18 11 8 10 16 25 44 76 92 62 26 9 7 5 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 22 33 41 49 62 72 76 73 69 64 58 51 44 38 35 34 34 38 44 38 20 4 3 7 11 11 6 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 8 9 8 9 8 5 4 5 6 6 8 11 13 12 8 4 1 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 12 14 14 14 12 10 8 8 11 15 16 14 13 14 16 18 20 20 18 15 12 10 11 14 16 16 14 16 19 22 21 17 14 14 13 13 15 16 15 15 14 13 11 10 10 10 8 4 1 2 4 4 4 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 5 5 5 6 6 5 5 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 10 1 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 24 44 46 29 23 17 10 11 20 36 52 61 68 63 51 39 31 25 20 17 17 19 23 32 42 36 18 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 14 19 22 26 34 45 61 77 89 92 90 87 85 78 67 58 50 43 37 38 46 49 34 13 6 6 10 15 16 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 5 2 1 1 2 3 4 6 8 7 5 2 0 0 0 0 0 0 0 0 nan nan nan 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 9 11 12 10 8 7 6 7 8 10 12 13 14 16 18 17 15 12 11 8 7 9 12 15 16 15 14 16 19 20 17 15 15 15 16 18 19 18 16 16 15 13 11 10 11 10 6 3 2 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 5 6 5 5 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 7 25 39 38 31 19 6 2 4 14 32 45 48 48 43 35 30 27 25 24 24 20 16 15 14 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 1 3 7 10 8 7 7 8 11 16 22 26 30 36 43 54 69 85 96 101 99 94 86 76 67 58 48 40 36 42 49 43 26 12 6 5 8 13 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 2 0 0 1 1 1 2 4 4 3 1 0 0 0 0 0 0 0 0 nan nan nan 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 4 7 8 8 6 5 5 5 4 5 7 9 11 13 15 15 12 9 9 7 6 7 9 12 14 14 13 14 16 18 18 17 17 18 19 20 20 19 18 18 17 15 12 11 11 11 9 6 4 4 4 4 3 3 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 4 3 4 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 10 1 0 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 2 0 6 17 25 27 19 6 1 0 6 21 34 39 38 32 27 23 22 23 24 25 21 14 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 18 25 21 15 11 10 10 13 18 23 26 32 39 47 58 74 88 100 104 98 84 73 64 56 49 43 38 37 44 46 38 24 9 1 1 5 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 nan nan nan 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 4 5 6 6 5 5 4 4 4 5 7 10 13 14 12 9 8 8 7 8 9 11 12 13 14 15 15 16 16 16 16 18 20 20 18 17 18 18 18 15 13 11 11 11 10 8 6 5 4 3 2 2 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 10 1 2 3 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 10 8 3 1 2 7 10 7 2 0 0 3 13 23 27 26 22 17 14 14 16 18 20 20 17 11 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 1 5 12 18 24 23 16 10 8 8 10 14 19 22 28 37 46 54 65 77 89 97 96 82 70 61 52 47 44 40 35 38 41 40 33 18 6 1 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan 17 13 10 6 5 6 6 6 6 5 5 5 4 4 5 9 15 15 13 11 7 6 7 8 9 10 12 14 17 16 12 7 6 7 8 8 11 14 14 13 14 15 16 16 14 12 11 10 8 6 5 4 4 2 3 3 3 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 18 10 12 12 13 10 6 4 5 10 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 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 1 6 9 9 6 2 0 0 0 0 0 0 0 1 2 3 1 0 0 0 1 2 2 3 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 1 3 6 13 22 36 47 56 62 71 81 91 96 93 82 70 58 49 42 41 39 36 34 33 32 29 24 16 9 6 3 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 28 26 22 15 8 7 6 6 6 6 5 5 5 5 5 10 20 21 19 19 16 10 8 7 7 7 8 11 14 13 9 5 4 6 7 6 8 10 12 13 14 14 15 15 14 12 11 9 8 6 5 4 4 4 4 4 3 3 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 21 18 16 13 13 11 6 4 4 7 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 11 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 1 2 2 2 3 3 3 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 16 26 37 46 54 63 74 83 88 86 81 70 59 49 42 38 36 35 36 36 33 28 25 26 24 19 11 5 2 1 1 2 3 3 4 4 4 4 4 5 5 5 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 35 33 32 27 16 10 7 6 6 6 6 5 5 5 5 11 25 30 28 32 34 24 13 8 6 6 7 8 10 10 9 6 6 8 9 6 4 5 8 10 11 11 10 11 12 11 10 9 8 6 6 5 5 5 6 6 5 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 16 13 8 4 2 0 0 2 2 2 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 2 2 3 3 4 4 4 3 3 3 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 6 3 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 10 19 27 37 48 60 68 70 69 64 57 50 43 36 31 29 31 38 43 41 30 23 24 29 30 20 12 8 6 6 7 8 10 10 10 10 10 10 12 13 14 15 14 12 11 8 5 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 38 38 40 42 39 33 28 24 23 23 20 13 7 6 6 6 6 10 24 38 48 52 48 42 38 31 20 12 7 6 6 6 8 8 10 11 12 10 8 6 4 3 3 3 2 2 3 4 4 4 3 4 5 6 6 4 3 3 2 1 1 1 1 0 0 1 1 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 10 6 1 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 6 5 5 5 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 12 11 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 2 5 9 17 25 28 23 15 9 9 10 12 16 28 43 45 39 30 24 22 20 16 13 11 9 8 7 7 9 10 8 6 5 5 6 8 10 12 14 17 20 21 21 22 23 24 27 28 25 21 18 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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26 24 24 23 20 19 20 25 31 37 44 49 54 61 68 68 69 84 85 81 85 92 92 89 84 74 62 52 48 45 44 39 33 33 44 58 63 59 53 46 42 38 29 20 20 31 36 33 33 36 41 51 57 51 43 40 42 39 36 35 35 37 41 35 21 13 12 12 13 16 18 18 18 17 18 18 18 19 18 16 12 10 10 8 5 4 4 5 6 6 6 6 6 6 7 8 7 5 4 4 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 1 2 3 4 4 4 3 2 0 0 0 1 5 6 5 5 4 3 3 4 6 9 12 13 10 8 12 12 9 10 11 10 9 7 5 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 4 3 2 2 3 4 4 5 5 5 5 5 5 5 4 3 2 2 1 1 2 2 2 2 1 0 0 0 0 2 6 4 3 4 4 4 4 3 2 1 3 6 9 12 13 13 12 9 6 4 6 6 5 5 5 5 5 5 5 5 5 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 4 4 4 5 7 8 7 6 6 6 5 5 4 4 5 6 6 7 8 9 9 10 10 10 9 9 8 9 9 9 9 8 9 10 12 13 14 13 12 13 16 18 21 22 24 24 24 23 22 20 17 14 9 7 7 8 7 7 7 7 7 7 7 6 5 5 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 20 20 21 21 21 22 27 35 41 47 54 57 60 62 59 54 61 74 79 77 87 94 92 88 83 74 64 54 47 45 44 40 36 38 48 58 61 58 51 46 44 36 22 16 20 25 28 35 48 57 59 56 42 34 36 40 41 37 35 35 36 39 40 28 15 12 11 12 15 17 18 18 17 17 17 18 18 18 19 16 12 10 9 8 5 4 4 6 6 6 6 5 6 7 7 6 5 4 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 3 2 1 0 0 0 0 0 1 3 3 3 2 2 3 4 6 7 7 5 4 4 5 8 11 14 16 14 13 11 8 5 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 4 3 2 2 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 4 5 6 5 5 5 4 4 3 3 4 6 8 8 6 4 3 2 2 2 2 3 4 4 5 5 5 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 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 4 6 6 6 7 7 8 8 7 7 7 7 6 5 5 5 6 6 7 8 9 10 10 10 10 10 10 9 10 10 10 11 11 12 14 14 13 12 13 15 17 21 23 25 26 25 23 21 19 16 14 11 8 7 6 7 8 7 6 7 7 7 6 6 6 5 6 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 18 20 24 28 29 30 34 41 46 53 60 65 64 63 60 55 58 65 69 70 77 88 92 91 87 81 76 67 54 47 48 46 40 37 41 49 58 61 57 51 51 44 29 19 18 20 24 32 46 56 58 55 39 28 28 33 38 38 36 35 37 38 38 34 20 12 11 11 13 15 17 18 18 17 17 17 17 18 19 18 16 13 11 10 8 5 4 5 6 5 6 6 6 7 7 5 5 4 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 6 4 3 2 4 6 10 12 12 12 12 12 10 7 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 4 5 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 3 4 4 5 5 5 6 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 5 6 6 7 7 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 11 11 12 14 17 20 20 19 17 18 20 22 24 24 24 22 19 16 13 11 10 8 7 6 6 6 8 8 7 6 7 6 6 6 6 6 6 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 16 20 28 37 41 42 45 50 55 60 66 70 69 66 65 64 65 68 68 66 70 82 89 91 88 83 80 80 70 56 49 48 44 39 38 43 51 58 60 57 57 52 39 24 19 20 22 27 36 47 52 51 43 28 23 25 32 37 37 36 36 36 37 36 27 16 11 11 12 14 16 18 18 18 18 17 17 17 18 18 16 14 13 13 11 7 4 4 5 5 5 5 6 7 7 5 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 3 6 8 9 9 9 9 9 9 8 6 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 4 4 4 5 5 4 5 5 4 3 2 1 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 3 3 3 2 3 4 4 4 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 3 4 4 6 7 8 8 8 8 8 8 7 8 9 9 8 9 9 9 9 10 9 9 10 10 10 12 14 15 18 21 23 23 23 23 24 24 23 22 20 18 15 11 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
13 16 21 32 46 54 55 55 60 65 68 70 71 70 67 66 68 70 74 76 75 76 82 86 87 86 78 72 77 81 75 62 55 48 41 37 38 44 53 59 60 60 57 48 33 24 21 22 24 28 35 43 48 44 34 27 23 28 36 39 36 34 33 35 36 32 21 13 11 12 13 15 17 18 19 19 18 18 17 16 16 16 14 13 13 13 10 6 4 4 5 5 5 6 8 8 5 3 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 6 5 2 0 0 0 0 0 0 0 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 9 9 8 9 9 9 8 6 6 5 4 4 4 4 4 4 3 3 2 2 1 1 2 3 4 4 4 4 5 5 5 5 5 4 3 3 2 2 3 7 9 7 3 1 0 1 2 3 3 1 1 1 0 0 0 2 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 4 3 2 2 2 2 3 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 4 5 7 8 8 8 8 8 9 11 11 10 10 10 10 10 10 10 9 10 12 14 17 18 19 20 21 21 20 21 22 23 22 20 17 15 12 8 7 6 6 6 7 7 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
17 18 22 36 55 66 67 65 66 70 72 73 72 70 67 66 67 70 74 78 81 82 83 80 79 81 75 67 65 74 87 85 73 60 48 37 35 38 46 55 59 60 58 54 45 36 30 24 23 24 28 36 43 44 40 34 30 30 35 39 38 35 32 33 36 35 25 14 11 12 13 14 16 18 19 19 19 19 17 16 15 15 14 12 12 13 13 8 4 4 4 5 5 6 8 7 4 3 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 10 10 10 10 10 9 8 7 7 5 3 3 3 3 3 3 3 2 2 2 2 2 3 4 5 5 5 5 5 5 6 6 5 5 4 4 4 5 9 18 22 16 8 3 1 3 7 12 12 11 9 6 4 2 1 2 4 5 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 5 4 3 2 1 0 0 1 1 1 2 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 3 4 6 7 7 8 8 10 11 12 11 12 12 12 12 11 11 12 14 17 21 24 24 21 20 19 18 18 18 19 19 18 16 13 9 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
27 21 20 40 63 75 76 71 67 68 71 74 74 72 71 72 73 73 74 75 78 80 80 75 70 70 72 72 68 68 76 86 84 76 63 45 35 36 42 50 54 56 59 60 57 52 45 33 24 23 25 29 36 41 42 40 37 35 35 37 39 38 34 32 35 36 27 16 11 11 13 14 15 16 18 19 19 19 18 15 13 13 13 12 12 13 14 11 4 4 4 5 5 6 8 7 4 3 2 2 2 2 2 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 2 6 8 8 9 10 10 12 13 12 11 10 9 7 5 3 3 2 2 2 3 3 2 2 3 3 4 5 5 5 6 6 6 6 7 8 6 5 5 5 5 7 10 18 26 26 19 10 5 3 5 9 15 17 18 18 15 11 7 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 4 4 3 2 0 0 0 0 0 1 2 2 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 1 2 4 6 7 8 9 11 12 12 12 14 15 14 14 14 15 19 23 26 27 24 20 18 17 17 17 18 18 18 16 14 11 7 5 6 6 6 7 8 7 6 6 6 6 6 6 6 7 7 6 6 5 5 6 6 6 6 6 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
43 31 30 46 68 79 78 70 64 63 66 71 73 73 76 82 85 82 77 74 72 73 75 73 70 67 68 72 75 76 82 88 89 86 78 65 48 41 42 46 48 52 58 62 63 62 58 46 32 25 25 26 31 37 42 43 41 38 35 36 39 41 39 35 34 36 30 18 11 10 12 13 13 14 16 18 18 19 18 15 12 12 12 12 11 12 14 10 5 4 4 5 5 6 7 7 6 3 2 2 2 2 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 3 7 9 9 9 10 13 15 16 16 15 14 11 8 5 4 3 2 2 3 3 3 3 4 4 5 5 5 6 6 7 8 10 10 10 9 7 6 6 7 7 11 17 21 21 20 17 11 4 1 3 7 10 11 11 12 14 14 11 8 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 5 4 3 3 2 1 0 0 1 2 2 3 4 4 4 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 9 11 14 14 15 16 17 17 17 17 18 22 25 28 27 23 19 16 15 16 16 17 18 17 15 12 8 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
58 50 47 55 70 78 76 68 61 59 61 66 69 72 77 84 86 85 78 72 68 67 69 71 72 72 72 71 71 72 74 79 86 88 87 80 66 54 46 45 42 44 52 60 65 68 66 59 46 32 28 29 32 36 41 43 40 36 33 34 39 43 43 39 35 35 33 22 12 10 11 12 11 12 14 16 17 18 17 15 12 11 10 10 10 11 12 9 5 3 4 5 5 6 6 7 6 5 3 2 2 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 3 4 6 9 11 13 15 16 16 16 16 15 13 9 6 5 4 4 4 4 4 4 4 4 5 5 5 6 7 9 10 11 13 15 15 12 9 10 11 12 13 17 21 21 18 17 16 11 4 0 2 5 6 6 5 5 7 8 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 4 4 3 2 2 2 0 0 1 3 4 5 6 6 6 7 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 9 12 16 17 18 18 19 18 18 18 19 22 26 29 27 22 16 12 12 13 13 14 16 16 13 10 6 6 6 7 7 7 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
66 62 59 63 72 76 74 68 64 61 60 62 66 69 72 77 79 79 75 69 64 62 61 63 67 72 74 74 73 71 67 67 72 78 84 86 81 70 56 45 38 37 43 54 64 69 72 69 60 47 36 32 34 36 37 37 34 32 32 33 38 42 44 41 36 34 33 29 17 12 12 12 11 10 10 12 14 16 16 15 12 10 9 9 9 10 11 9 5 3 4 5 5 5 5 6 6 6 3 2 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 9 13 14 15 16 17 18 18 16 14 10 6 6 6 6 7 7 6 6 6 5 5 6 6 7 9 11 12 11 13 18 20 17 14 14 15 17 18 20 20 18 17 18 17 11 4 0 1 4 5 5 4 4 4 5 6 9 10 8 7 7 8 8 8 7 7 7 7 6 6 6 5 5 5 4 4 4 3 2 2 3 5 7 9 10 9 9 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 10 14 17 20 21 22 21 20 18 16 16 20 25 28 26 20 12 7 7 8 8 8 10 12 9 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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
72 71 70 72 75 76 74 71 70 68 65 64 66 66 64 65 69 71 69 65 60 57 54 54 56 60 66 71 74 76 73 66 62 63 71 78 82 80 68 51 38 33 35 45 59 71 74 74 68 57 44 36 35 35 33 32 32 33 32 32 36 40 42 40 37 35 34 32 26 18 17 14 13 10 8 9 10 12 14 13 12 11 9 9 9 9 10 8 5 3 4 4 5 5 4 4 5 6 3 2 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 13 14 15 18 21 22 22 19 15 8 5 6 7 7 8 9 9 9 8 8 9 9 9 9 9 10 10 8 10 16 21 23 21 18 17 18 19 19 19 18 18 19 17 10 4 0 0 3 5 5 4 4 4 4 5 7 10 9 8 8 8 9 8 8 7 7 7 7 7 6 5 4 5 6 7 6 6 6 6 6 8 11 14 15 14 13 12 11 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 9 6 2 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 1 1 1 1 0 0 0 1 2 3 4 6 8 12 16 18 21 24 23 21 18 16 16 19 24 26 23 17 8 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
75 79 78 79 77 74 74 77 78 77 74 72 70 67 62 60 64 66 66 62 58 54 50 48 48 50 55 62 69 74 74 70 64 58 53 52 59 70 74 63 46 35 32 37 53 72 78 74 70 64 50 36 33 33 33 35 38 37 36 33 33 36 38 38 36 36 36 33 29 24 21 18 15 12 9 8 8 10 12 13 12 11 10 9 9 9 9 8 4 3 3 4 4 5 4 4 5 5 4 2 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 8 12 14 15 18 22 24 24 24 21 13 5 2 3 5 6 6 8 11 12 12 13 14 14 12 10 9 8 8 7 8 13 18 21 22 19 17 16 16 17 17 17 17 17 14 8 3 1 0 2 3 4 3 3 4 4 4 5 7 8 7 7 8 8 8 7 7 8 10 12 11 9 6 4 4 4 6 5 5 5 6 7 8 11 14 16 17 17 16 14 12 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 10 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 1 2 2 2 2 1 0 0 1 1 2 2 3 4 7 10 14 18 21 24 22 19 18 18 20 23 23 20 14 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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96 97 97 90 82 77 79 83 86 87 87 82 77 73 71 72 75 78 80 81 81 80 78 76 74 76 78 81 83 81 76 72 70 70 71 76 80 79 74 70 71 73 72 72 71 67 60 61 69 74 75 73 71 70 68 65 61 54 44 38 35 31 30 33 35 36 36 36 37 37 36 34 29 25 23 24 23 20 19 15 12 10 10 11 12 12 12 12 12 12 9 5 4 4 5 5 5 5 5 5 5 4 3 2 2 2 2 2 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 2 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 1 6 10 13 16 17 17 17 16 14 10 6 3 1 0 1 2 2 2 3 4 5 5 5 5 4 3 3 4 3 2 5 11 23 34 36 33 26 17 9 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 22 32 36 38 38 33 26 18 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 2 8 19 30 31 24 15 8 4 4 5 6 5 5 4 4 4 5 7 8 8 8 8 8 8 8 8 9 10 11 12 12 10 8 7 6 6 6 6 6 7 8 9 10 10 9 8 7 6 6 6 6 7 9 11 11 9 7 5 3 3 3 4 4 3 3 3 3 2 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan
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129 130 126 119 113 108 99 90 86 90 91 85 77 70 68 70 72 74 75 75 74 74 73 73 71 70 69 71 77 87 93 95 95 94 96 98 100 99 96 93 91 93 94 92 91 86 78 72 69 66 65 66 69 73 72 71 69 66 63 57 46 31 31 37 39 40 38 38 39 39 38 36 36 35 34 30 23 19 17 15 12 12 15 16 14 12 11 11 10 9 9 8 5 4 4 5 6 6 5 5 5 4 3 2 2 2 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 2 5 8 10 11 13 16 19 20 20 21 22 22 21 22 19 15 14 19 24 27 27 32 27 17 10 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 26 46 58 56 47 37 26 16 10 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 10 21 31 35 32 24 15 10 8 7 7 7 6 5 5 6 8 9 10 11 11 10 11 11 12 12 12 13 14 13 10 8 8 7 7 7 7 7 7 8 8 8 8 8 7 6 5 6 7 9 9 6 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan
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