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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 5 5 5 5 6 6 6 5 5 4 4 3 2 2 2 2 3 4 5 6 5 5 5 5 5 5 5 6 7 6 5 5 6 7 7 6 5 4 4 4 4 5 6 6 5 4 3 4 6 6 4 3 4 4 4 4 4 4 4 4 5 4 4 3 4 5 5 5 5 5 4 3 4 4 4 5 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 4 4 4 4 4 5 4 4 4 4 4 3 2 3 4 5 5 4 5 7 7 8 8 9 9 9 8 8 7 7 6 5 4 4 3 3 3 3 3 3 4 7 13 18 15 7 2 -0 1 5 8 7 3 1 2 6 10 14 17 13 6 5 9 11 10 9 5 3 4 7 9 10 10 10 8 7 7 8 9 8 7 7 8 10 12 12 12 13 15 16 13 10 9 9 8 5 3 3 3 2 3 3 3 2 1 2 2 1 1 1 1 4 7 7 2 -2 -1 2 3 2 0 -6 -14 -17 -12 -4 4 11 19 23 23 20 15 11 8 7 6 6 6 5 5 5 5 6 6 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 8 10 14 22 24 15 8 6 5 4 4 5 5 6 7 7 6 4 4 5 5 6 6 6 5 5 6 7 4 -3 -11 -13 -7 1 3 -3 -4 0 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 5 6 6 6 5 4 4 4 4 5 5 6 5 4 3 2 2 2 3 4 4 5 5 6 9 13 15 16 16 14 10 8 7 5 4 2 2 3 3 3 4 5 6 6 4 5 7 10 8 4 2 1 2 3 -0 -7 -8 -2 3 5 6 6 6 7 9 10 10 11 12 14 17 21 23 22 21 19 17 16 16 14 12 10 10 10 9 9 8 8 7 6 4 3 1 1 1 2 3 4 5 7 8 8 7 5 4 3 3 3 4 3 3 2 3 3 4 5 5 5 6 5 4 4 5 5 6 6 6 7 6 5 5 5 5 6 6 6 5 5 nan
nan 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 2 3 3 4 4 4 4 5 5 5 5 4 3 3 4 4 4 5 5 5 5 5 6 5 5 4 4 3 2 1 2 2 3 4 5 6 6 5 5 5 4 4 4 5 6 6 5 5 6 7 8 6 5 4 4 3 4 6 7 6 5 3 3 4 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 3 2 3 5 5 5 5 6 6 7 8 9 9 9 9 9 9 8 7 7 6 5 5 4 3 3 3 3 3 4 7 14 17 13 7 2 -0 0 4 7 6 3 2 4 8 10 10 11 11 7 4 5 6 5 4 2 2 3 5 6 7 8 8 6 6 7 8 8 8 7 8 9 11 13 14 15 16 17 15 11 6 4 5 5 5 5 5 3 1 2 5 5 3 1 1 2 1 1 1 1 1 3 5 2 -0 -0 1 2 -1 -7 -14 -16 -12 -3 4 11 18 23 24 21 15 11 9 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 15 21 22 14 7 5 4 4 4 4 5 6 6 7 6 4 4 5 5 6 7 6 5 5 6 7 6 2 -5 -11 -9 1 5 -3 -9 -4 2 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 4 4 3 3 4 5 6 6 6 5 4 4 3 3 3 4 4 4 5 5 5 7 10 14 16 15 10 7 5 4 3 2 3 3 3 3 4 5 5 6 6 5 6 7 6 4 4 3 1 -1 -5 -9 -8 -2 3 5 6 6 5 6 7 8 10 13 16 19 21 22 22 21 19 17 16 14 12 11 9 8 8 7 7 6 6 6 5 4 3 2 1 1 1 2 3 4 5 7 8 7 7 5 4 3 3 3 3 3 2 2 3 3 4 5 5 5 5 5 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 nan
nan 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 2 2 3 4 5 5 5 5 5 6 6 5 4 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 2 1 2 2 3 4 6 7 6 6 5 5 4 3 3 5 6 7 6 5 5 7 8 7 6 5 4 4 4 6 7 7 6 4 3 3 4 5 5 4 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 6 5 3 2 3 5 5 5 5 5 6 7 8 9 9 9 9 9 9 9 8 8 7 6 5 5 4 4 4 4 4 4 7 14 18 15 11 7 4 3 4 5 4 3 3 4 7 9 8 7 7 5 5 4 3 2 1 1 2 2 3 4 5 6 6 4 4 4 5 6 6 6 7 9 11 13 14 14 15 14 11 6 2 1 3 6 8 8 7 4 2 3 5 5 2 -1 -2 -1 -1 -1 -1 -0 -1 -0 1 2 0 0 1 -1 -8 -15 -17 -13 -4 4 10 15 20 22 20 15 11 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 10 16 24 24 14 7 5 4 4 4 4 5 5 6 7 6 5 4 5 5 6 6 7 6 5 5 6 6 5 1 -7 -10 -0 7 -0 -10 -9 -0 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 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 5 4 4 3 2 2 3 4 5 6 7 7 6 6 6 5 5 4 4 5 5 4 4 5 7 10 14 14 9 5 4 5 4 3 4 4 3 3 4 5 6 6 6 6 6 5 4 4 3 0 -3 -6 -8 -7 -3 2 5 6 6 6 6 6 6 7 9 12 16 19 20 19 18 16 14 13 12 11 9 9 8 7 7 6 6 5 5 5 4 4 3 2 1 1 1 1 2 4 6 7 8 7 7 6 4 3 3 3 3 3 2 2 3 3 4 4 4 5 5 4 3 3 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 nan
nan 4 4 4 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 6 6 6 5 5 6 6 5 4 3 3 3 3 4 5 4 4 4 4 4 4 5 4 4 3 2 2 2 3 3 4 6 7 7 6 5 5 5 4 4 5 7 7 6 5 5 6 8 8 7 5 4 4 5 6 6 7 6 5 3 3 4 5 5 4 4 3 3 3 3 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 2 2 3 5 6 5 3 2 3 5 5 4 4 5 6 7 8 9 9 9 9 8 8 8 8 8 8 7 6 5 5 4 4 4 4 5 8 14 20 20 17 13 11 8 5 3 3 3 4 4 5 6 6 5 5 5 6 5 4 3 2 2 2 2 3 3 4 5 6 5 4 2 3 4 4 4 5 6 8 9 10 10 10 9 6 2 0 1 5 8 10 10 8 6 4 4 5 4 1 -2 -4 -4 -2 -1 -1 -0 0 -0 1 1 0 0 -1 -6 -14 -17 -13 -5 3 10 15 18 19 17 14 11 8 7 6 6 6 6 6 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 5 5 5 5 5 5 5 5 5 5 6 8 15 26 28 17 8 6 4 3 4 5 5 5 6 7 6 5 4 5 5 5 5 6 6 6 6 6 6 5 4 -1 -7 -4 3 0 -8 -9 -1 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 5 4 4 4 4 5 5 6 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 5 5 5 5 4 3 2 1 1 2 3 5 7 8 8 8 8 7 7 6 6 6 6 5 4 4 5 7 11 11 7 4 4 5 5 5 6 7 6 4 4 6 6 6 6 6 5 4 3 1 -2 -5 -6 -6 -4 -0 3 5 6 6 7 7 7 6 6 7 9 12 15 17 17 15 13 12 11 10 9 8 8 8 7 7 6 6 5 5 5 5 4 4 3 2 2 1 1 1 2 4 6 7 8 8 7 6 5 3 3 2 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 5 5 nan
nan 5 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 5 5 6 6 6 5 5 5 6 5 5 3 3 2 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 4 5 6 7 7 6 5 5 5 4 4 5 7 7 6 5 5 6 7 8 7 5 4 5 5 5 5 6 5 5 4 4 4 5 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 2 2 3 4 5 5 4 3 4 5 4 3 4 5 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 4 4 4 5 9 15 23 26 23 18 15 12 7 4 4 4 4 4 3 3 3 4 5 6 5 4 4 5 5 4 4 3 3 4 4 4 5 5 3 2 1 2 3 3 3 4 4 5 5 5 5 4 2 0 1 3 5 6 6 6 6 5 4 4 5 4 2 0 -3 -3 -1 -0 -0 1 1 1 2 1 1 1 -2 -9 -14 -12 -5 2 8 15 19 19 16 12 10 8 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 4 4 5 5 5 5 6 12 24 31 22 10 6 4 4 5 5 5 5 6 7 7 6 5 5 5 5 5 5 6 6 6 6 6 5 5 3 -2 -6 -6 -6 -8 -4 2 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 4 4 3 4 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 6 4 3 2 1 0 0 1 4 6 8 9 10 10 10 10 9 8 9 8 6 3 3 4 6 9 9 5 3 4 6 6 5 6 8 8 6 5 5 5 4 5 5 4 2 -1 -4 -5 -4 -3 -0 3 5 6 7 7 7 8 8 7 6 6 7 9 11 14 15 14 12 10 9 8 8 7 7 7 7 7 6 6 6 6 6 5 5 4 4 3 2 2 1 1 1 2 3 5 7 7 8 7 6 4 3 3 2 3 3 3 3 3 4 4 3 3 3 3 3 2 2 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 nan
nan 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 5 5 4 4 3 4 4 4 4 5 5 5 5 4 5 6 6 5 4 3 3 3 4 4 5 5 5 5 5 4 4 4 3 2 2 2 3 3 4 5 6 6 6 5 5 5 5 4 4 5 6 7 7 5 5 6 7 7 7 6 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 3 3 2 3 4 5 6 5 4 4 5 4 3 4 5 6 8 9 9 9 8 8 8 8 8 8 9 9 8 8 7 6 5 5 4 4 6 10 17 27 30 24 17 17 15 12 9 8 6 5 4 3 3 2 3 5 5 4 2 3 5 6 7 7 6 5 5 4 3 2 2 1 2 2 1 1 3 3 2 2 2 3 4 3 1 -0 0 2 3 2 1 1 1 2 2 3 4 5 5 4 3 1 0 1 1 1 1 2 3 3 3 2 1 -4 -10 -11 -5 1 6 13 19 20 17 12 9 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 9 20 29 25 13 7 6 5 5 6 5 4 5 7 7 6 5 5 5 5 5 5 6 7 7 6 6 5 4 4 3 -3 -10 -15 -12 -3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 3 4 4 5 5 6 6 6 6 5 4 3 3 4 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 5 4 4 5 6 7 6 5 4 3 2 1 -0 0 2 4 6 9 11 12 14 14 14 12 11 10 7 2 1 3 6 8 6 4 2 3 5 5 4 4 7 8 8 7 4 1 2 3 3 2 1 -2 -4 -2 1 4 6 7 7 7 7 7 7 8 8 7 6 6 7 8 11 13 13 13 11 10 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 4 3 2 2 1 1 1 1 3 5 6 7 8 7 6 4 4 3 3 3 4 3 3 3 4 4 3 3 3 3 3 2 2 2 1 2 3 4 4 4 5 5 5 5 4 4 4 4 4 nan
nan 6 5 4 3 4 4 4 5 6 6 5 5 4 4 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 5 6 6 6 6 5 5 4 3 3 2 2 2 2 3 4 5 6 6 6 5 5 5 5 5 4 4 6 7 7 6 5 5 5 6 6 7 6 5 5 4 3 3 4 6 6 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 4 3 3 3 4 5 6 6 5 5 5 4 3 4 5 7 8 9 9 9 8 8 8 8 8 9 9 9 9 8 7 6 5 5 4 5 6 11 18 28 34 27 19 17 17 16 15 13 9 6 5 5 3 2 2 3 4 4 3 2 4 7 9 11 10 8 6 4 3 2 -0 -1 1 1 1 1 1 1 1 0 1 4 5 5 2 1 1 2 2 1 0 -0 -1 -0 0 2 5 6 4 3 2 1 1 2 2 1 1 2 4 6 5 3 -1 -9 -13 -9 -1 4 9 16 20 19 14 10 8 7 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 7 15 26 26 15 8 6 6 5 6 6 6 5 6 6 5 5 5 6 6 5 4 6 7 7 6 7 7 5 4 5 3 -6 -17 -17 -6 3 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 3 4 4 5 5 5 6 6 6 5 4 3 3 3 4 5 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 7 7 6 5 4 3 2 1 0 1 2 4 7 10 14 18 21 19 14 11 10 6 2 2 3 5 7 5 3 3 3 4 5 4 4 5 6 7 6 2 -1 -1 2 3 3 2 2 2 3 6 8 9 8 8 8 8 8 8 8 8 7 6 6 7 8 10 11 12 13 12 10 9 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 2 1 1 0 1 2 4 6 7 8 7 6 5 4 3 3 3 4 4 3 3 4 4 3 3 4 3 2 2 1 1 1 1 2 3 3 3 3 4 5 5 5 4 3 3 4 nan
nan 5 5 4 4 4 5 5 6 7 6 6 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 3 3 2 2 2 2 3 4 5 6 7 6 5 5 5 6 5 4 4 5 7 7 7 6 5 4 4 6 6 6 5 4 4 3 3 5 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 2 2 3 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 5 7 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 6 5 5 5 7 11 17 25 32 32 25 18 16 17 17 14 9 7 7 6 4 1 1 2 5 6 5 5 5 5 8 11 11 10 7 5 4 3 1 -0 -0 1 2 2 2 1 -0 -1 1 4 7 8 6 5 4 3 2 3 3 2 0 -1 -1 2 4 5 3 1 -1 -1 -1 2 3 2 2 3 6 7 7 3 -6 -15 -14 -5 2 7 13 17 18 15 11 9 7 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 4 5 5 4 4 4 4 5 5 5 5 4 5 4 5 5 5 5 5 5 11 22 27 20 12 8 6 4 5 8 7 6 6 5 4 4 5 7 7 6 5 6 6 6 6 8 9 7 5 5 5 -1 -14 -19 -9 2 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 5 4 3 3 4 4 5 5 6 6 6 5 4 3 2 3 4 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 6 7 7 6 5 4 4 3 2 1 2 2 3 4 8 14 22 25 20 12 8 7 4 2 2 4 5 5 5 4 4 4 4 4 4 4 3 3 4 4 2 -1 -1 1 4 5 5 5 6 7 8 9 8 8 8 9 9 9 9 8 7 7 6 6 7 8 9 10 12 12 13 12 11 9 8 7 6 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 1 1 0 1 2 4 6 7 7 7 6 5 3 3 2 3 4 4 3 3 3 4 4 4 4 4 3 2 2 1 0 1 2 3 3 2 2 4 5 6 6 5 4 3 3 nan
nan 6 6 6 6 6 6 7 7 7 6 6 5 5 4 4 3 3 3 3 4 5 4 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 5 6 7 6 5 5 5 6 6 5 5 5 6 6 6 6 5 3 3 4 6 6 5 4 4 3 4 4 5 5 5 5 4 5 4 4 4 4 4 3 3 3 3 4 4 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 4 4 4 6 7 9 9 9 10 10 11 11 11 11 11 11 10 10 9 8 7 6 5 5 5 7 10 14 19 24 27 24 16 12 13 12 8 5 5 4 3 1 -1 -1 1 4 6 8 7 5 4 4 6 8 8 7 6 5 4 3 3 3 4 4 4 5 4 1 -0 1 5 8 9 9 8 6 5 5 6 6 4 2 1 0 2 3 4 3 1 -1 -2 -1 2 3 2 2 4 6 7 6 -1 -11 -16 -10 -0 7 12 16 18 15 12 9 7 7 6 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 15 23 24 20 14 9 6 6 8 8 7 6 6 4 3 3 6 8 8 7 7 6 4 4 9 11 7 5 5 5 1 -11 -19 -11 1 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 5 4 4 4 4 4 4 5 5 6 6 5 4 3 2 2 3 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 6 7 7 8 7 6 5 4 3 3 3 3 3 3 3 6 14 24 25 17 9 6 6 4 3 2 3 4 4 5 5 5 5 5 4 4 4 2 -1 -1 3 4 1 -1 1 4 6 6 7 8 9 9 8 7 6 7 8 9 9 8 8 6 5 5 6 6 7 9 10 11 12 13 12 11 10 9 7 6 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 1 1 0 1 2 4 6 7 7 6 6 4 3 2 2 3 4 4 3 3 3 4 5 5 5 5 5 3 2 1 1 2 3 3 3 3 3 5 6 7 7 6 4 4 4 nan
nan 7 7 7 6 6 6 7 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 6 6 6 5 5 5 6 6 5 5 5 6 5 5 5 5 4 3 3 5 6 6 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 4 5 6 8 9 9 9 10 12 13 13 13 13 12 12 11 10 9 8 7 6 6 6 6 8 10 11 11 11 11 10 8 6 5 4 3 2 1 1 0 -0 -2 -2 -0 2 4 6 7 5 2 1 2 5 7 7 6 6 5 6 7 8 8 6 6 6 5 1 -0 3 7 9 10 9 8 8 7 6 6 5 4 3 3 3 4 4 4 4 4 2 0 0 2 3 2 2 3 5 4 2 -6 -14 -13 -4 4 11 15 18 16 13 10 8 7 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 14 19 22 21 15 12 11 11 11 10 10 8 6 4 2 3 6 8 8 8 8 4 4 9 10 7 5 5 5 1 -10 -16 -9 1 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 5 6 7 6 5 2 1 1 2 4 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 6 7 8 8 7 6 5 5 4 4 4 5 5 5 4 7 15 23 21 13 8 8 8 6 4 3 3 3 4 4 5 6 6 5 3 2 2 -1 -5 -3 3 5 2 2 3 5 7 8 9 9 9 8 7 6 6 6 7 8 9 8 8 6 5 5 6 6 7 8 9 11 11 11 11 11 10 9 7 6 5 5 5 5 5 5 5 5 5 5 5 4 3 3 2 1 1 0 1 2 4 6 7 7 6 6 5 3 1 2 3 4 4 3 3 4 5 5 6 6 6 5 4 2 1 2 3 4 4 4 4 5 6 7 8 9 7 6 5 5 nan
nan 7 7 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 3 3 3 4 4 4 5 5 6 6 6 5 5 5 6 7 5 4 5 6 5 5 5 5 4 3 3 4 5 6 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 2 2 3 4 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 2 2 3 3 4 4 4 4 5 6 6 7 6 5 4 5 6 7 8 9 9 11 12 14 15 15 14 13 12 11 10 9 8 7 7 6 7 8 9 11 10 6 2 -3 -3 -1 2 2 2 2 2 1 0 0 1 1 1 2 1 1 2 4 4 2 1 2 5 7 8 7 7 7 9 11 12 12 9 7 4 -0 -3 -1 4 8 10 10 8 6 6 6 6 4 2 1 3 4 5 5 5 5 5 4 3 2 2 3 3 3 2 2 2 1 -2 -9 -13 -9 1 8 13 16 16 14 11 9 7 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 10 15 18 17 16 15 14 14 15 15 13 11 9 5 3 4 6 7 9 9 7 8 11 10 8 7 7 6 -1 -11 -13 -6 2 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 4 4 3 4 5 5 5 5 7 8 7 5 1 -2 -2 1 4 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 6 8 9 8 7 6 6 5 5 5 6 6 6 6 6 10 17 21 15 8 8 10 11 9 6 5 4 4 4 4 5 5 4 1 -2 -1 -0 -3 -5 -1 5 5 4 5 6 6 7 9 10 10 8 7 6 5 5 6 7 8 9 9 8 6 5 6 6 6 7 7 8 9 10 9 9 10 10 10 8 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 1 0 0 1 3 5 7 7 7 6 5 3 1 2 3 4 4 4 4 4 5 6 6 6 6 4 3 2 2 2 3 4 4 4 4 5 6 7 9 9 8 7 6 7 nan
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nan 13 14 14 14 13 13 13 13 14 14 14 13 12 12 11 10 9 8 8 8 9 9 10 11 12 12 13 14 16 18 19 19 17 14 11 7 5 4 5 6 7 9 11 11 11 11 11 11 13 14 15 16 16 17 16 16 16 16 15 15 15 15 15 16 17 18 18 18 18 18 17 17 17 16 15 15 14 14 14 13 12 10 9 8 7 7 8 8 9 10 11 12 13 13 12 11 10 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 10 10 9 9 9 9 9 10 11 12 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 12 13 15 16 18 18 17 16 14 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 15 16 16 16 16 15 14 14 13 13 13 13 13 12 12 12 12 12 12 13 13 13 14 14 13 13 13 13 13 13 12 12 12 13 15 16 18 19 18 17 16 15 15 13 13 13 12 12 13 14 14 14 14 14 15 15 16 16 15 14 14 14 15 15 15 14 14 13 13 14 13 13 11 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 15 17 18 17 17 15 14 13 13 13 13 13 12 12 12 12 12 14 16 20 23 25 24 22 20 18 15 14 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 6 5 4 3 3 4 6 7 8 9 10 11 11 11 9 8 9 10 14 16 16 14 11 9 7 7 7 7 8 9 9 9 10 10 11 12 13 14 14 13 13 12 11 11 12 13 16 20 25 28 30 30 26 19 14 10 7 7 9 11 11 12 12 13 13 13 13 13 12 12 13 14 16 17 17 16 14 11 7 6 6 8 10 11 11 10 9 9 9 9 10 10 9 10 10 11 11 11 10 9 9 9 11 12 13 14 14 13 12 11 11 11 11 11 12 13 12 11 10 9 9 10 11 12 13 13 13 13 13 12 12 12 12 13 13 14 14 14 15 15 14 14 13 13 13 12 12 12 12 13 13 13 13 12 11 10 11 10 10 11 12 13 nan
nan 14 14 15 15 15 14 13 13 12 12 11 12 12 13 13 12 12 10 10 10 11 12 12 13 13 14 14 15 15 16 17 15 14 11 9 6 4 4 4 5 6 7 9 10 10 10 10 11 13 14 15 16 17 17 16 15 15 14 14 14 15 15 15 15 14 14 14 14 14 14 14 15 16 16 16 16 17 16 15 14 12 11 10 9 9 9 10 10 11 12 12 13 13 13 13 12 11 11 11 11 12 13 13 14 14 15 15 15 15 15 15 15 14 14 14 13 13 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 12 13 13 14 15 15 15 14 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 8 8 9 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 15 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 15 17 19 20 21 20 18 16 15 14 13 12 11 10 10 11 13 14 14 14 15 15 16 16 17 16 15 14 14 13 14 15 14 14 14 14 14 15 14 14 12 11 11 12 13 13 13 12 12 11 11 12 13 14 15 16 17 18 18 16 15 14 13 13 13 13 13 12 12 11 11 11 13 15 19 23 26 26 23 20 17 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 9 9 8 7 6 5 4 4 4 4 6 7 8 9 10 11 11 11 10 8 8 8 10 14 16 15 12 10 8 7 7 7 7 8 8 8 9 8 9 10 10 11 12 12 12 11 10 11 12 13 14 16 19 22 26 29 31 29 25 22 15 10 9 8 7 8 9 10 11 12 13 13 13 13 13 14 16 17 18 17 14 11 7 5 6 7 9 10 11 11 10 9 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 10 11 12 13 14 13 13 12 11 11 11 11 12 13 12 12 11 10 10 11 12 13 14 14 14 13 12 12 11 12 12 13 13 13 13 13 14 14 14 13 13 13 12 12 12 12 12 13 13 13 13 12 11 11 10 9 9 10 11 12 nan
nan 12 12 12 13 13 12 12 11 11 10 10 11 12 13 15 14 13 11 10 11 12 13 14 14 15 15 15 15 15 14 14 12 11 10 8 7 6 6 5 5 5 6 7 8 9 10 10 12 13 15 16 17 17 16 15 15 14 13 14 14 15 16 16 14 13 12 11 11 11 11 11 12 12 12 12 13 14 15 15 14 12 11 11 10 10 11 11 12 12 13 14 14 14 14 14 13 13 13 13 13 14 14 15 15 15 16 16 16 16 16 16 15 15 14 13 12 12 11 11 11 11 11 12 12 13 13 13 14 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 9 8 7 7 7 9 9 10 11 11 12 12 12 12 12 13 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 17 18 19 18 16 15 15 16 15 14 12 11 11 11 13 14 14 15 16 16 17 17 17 17 15 14 14 13 14 14 14 14 14 14 14 15 15 15 14 13 13 14 15 15 14 13 13 12 13 14 15 16 17 17 18 17 16 15 14 13 13 13 13 13 13 12 11 11 11 12 15 19 23 26 27 25 21 17 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 9 9 8 7 5 5 4 4 5 6 7 8 9 10 10 11 11 11 9 8 7 7 10 14 14 14 12 11 9 8 8 7 7 7 8 7 8 8 8 9 9 10 10 10 10 9 9 11 13 14 15 16 18 20 23 28 31 31 30 26 19 14 10 7 5 6 8 10 11 12 13 13 13 13 13 14 16 17 17 15 12 9 7 7 9 10 11 11 11 11 9 8 6 7 7 8 9 10 10 11 11 11 11 10 10 10 10 10 10 12 13 13 13 12 12 11 11 11 12 12 12 12 12 11 11 11 11 12 13 13 14 14 13 12 12 12 12 13 13 14 13 13 14 14 13 13 13 12 12 12 12 12 12 13 13 14 14 13 12 12 11 10 9 9 10 10 11 nan
nan 9 9 9 9 9 10 10 10 10 9 9 10 11 14 15 15 14 13 12 11 13 14 16 18 19 19 18 17 16 14 12 11 9 9 8 7 7 7 6 6 6 7 8 9 11 12 13 14 15 16 16 16 16 15 14 14 13 14 14 15 15 16 15 14 13 12 12 11 11 11 11 10 10 9 9 8 9 9 10 11 11 11 11 11 12 12 13 13 13 13 14 15 15 15 15 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 14 13 12 12 11 11 11 11 11 11 12 13 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 15 15 15 15 15 16 18 19 20 19 17 15 14 14 14 14 15 15 16 17 17 18 18 17 16 15 14 13 13 14 14 14 13 13 13 14 15 15 14 14 14 14 14 15 14 14 13 14 15 16 16 17 17 17 16 15 15 14 13 13 13 13 13 12 12 12 13 14 15 17 20 22 24 26 24 21 18 15 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 9 8 7 6 5 5 5 5 6 7 8 9 9 10 10 11 11 10 9 7 6 6 9 11 12 12 12 11 10 9 9 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 12 14 15 16 16 16 17 21 26 30 33 34 29 21 17 10 5 5 6 9 12 13 13 13 13 13 13 13 14 14 15 15 13 12 11 11 11 12 12 12 12 12 12 9 7 6 6 7 9 10 11 11 10 10 11 11 11 11 11 10 10 10 11 12 13 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 12 12 12 12 13 13 14 14 14 14 13 13 12 11 12 12 12 12 12 13 13 14 14 14 13 12 12 11 10 10 10 10 11 12 nan
nan 8 8 7 6 7 7 8 9 9 9 10 10 11 13 15 16 16 16 16 16 17 18 20 22 23 23 22 19 16 14 11 10 9 8 8 7 7 7 7 7 7 8 10 12 13 15 16 17 16 16 16 15 14 14 13 13 13 14 15 16 16 16 16 15 14 14 13 12 12 11 10 10 9 9 8 8 7 7 8 9 10 12 12 13 14 14 14 14 14 14 15 16 16 16 16 15 14 14 14 13 13 13 13 13 13 13 13 14 14 14 14 14 13 12 12 11 11 11 11 11 12 12 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 13 14 15 15 14 13 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 14 13 13 13 14 14 14 14 15 15 14 14 14 14 13 13 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 14 15 15 15 14 14 15 16 19 20 20 20 19 17 16 16 15 15 15 16 16 17 18 18 17 16 16 15 14 13 13 13 13 13 13 13 13 14 15 15 15 14 14 13 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 13 13 13 13 13 13 12 13 14 17 20 21 21 21 21 21 21 19 17 15 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 9 8 7 6 5 5 5 6 7 7 8 9 9 9 9 9 10 10 10 9 7 6 5 6 7 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 13 14 16 16 15 14 15 19 24 30 33 35 31 25 18 9 4 4 8 11 13 13 13 13 13 14 13 13 12 12 13 13 13 13 13 13 12 12 12 12 12 13 12 9 7 6 6 7 9 11 12 12 11 11 12 12 13 12 11 11 10 10 11 12 12 12 11 10 10 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 12 12 12 13 12 12 13 13 14 14 14 14 13 12 11 11 11 11 11 11 12 nan
nan 9 8 7 5 6 7 8 9 11 11 11 12 12 13 14 15 18 18 19 19 20 21 22 24 25 23 21 18 15 12 10 9 8 8 8 8 7 7 6 6 7 9 11 13 15 16 17 17 17 16 15 14 13 13 13 13 13 14 15 16 17 17 16 16 15 15 14 14 13 12 11 10 10 9 9 9 9 9 10 11 12 13 14 15 15 15 15 16 16 16 17 17 17 16 16 14 13 13 12 11 11 11 11 11 11 11 12 13 13 14 14 14 13 13 12 12 12 12 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 14 13 13 12 12 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 14 14 14 13 13 13 12 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 13 13 14 15 16 17 16 15 15 15 15 16 16 17 17 17 16 16 15 14 14 15 16 16 17 18 17 17 16 15 14 14 13 13 13 13 13 13 13 14 14 15 15 15 15 14 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 14 14 14 15 16 19 22 23 23 21 19 17 17 16 16 15 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 8 7 7 6 5 5 6 6 7 8 8 9 9 9 9 9 9 10 9 9 8 6 5 5 5 6 8 9 10 11 11 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 11 12 14 16 15 14 13 14 18 24 30 35 36 32 27 17 7 5 5 8 11 13 12 12 13 13 14 13 12 11 11 12 12 14 15 14 14 12 12 11 12 12 12 11 9 7 6 6 8 10 11 12 11 11 11 13 14 14 13 12 10 9 10 10 11 11 11 11 11 11 12 13 13 14 14 13 13 11 11 10 10 10 10 11 12 13 13 13 12 12 13 13 14 14 14 14 13 13 12 12 12 13 13 13 13 12 13 13 14 14 14 14 14 13 13 12 11 11 11 11 12 nan
nan 10 9 9 8 7 8 9 11 12 13 14 13 13 11 11 10 11 14 16 17 18 18 19 20 21 19 17 14 11 9 8 8 7 7 8 8 7 7 6 6 6 8 10 12 14 16 17 16 16 15 14 14 13 13 14 14 14 15 15 15 16 16 16 16 16 15 15 14 14 13 12 12 11 11 11 11 11 11 12 13 13 14 15 15 15 15 15 15 16 17 17 17 16 15 14 13 13 12 11 10 10 10 9 10 10 11 11 12 13 14 14 14 14 14 13 13 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 10 11 11 11 11 11 12 12 12 12 12 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 12 11 11 10 9 8 8 9 10 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 15 15 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 12 12 13 13 13 14 14 14 14 13 12 12 13 14 16 17 17 17 17 16 15 15 14 13 13 14 14 14 14 14 14 14 14 15 16 17 17 16 16 15 15 14 14 13 13 13 13 13 13 14 13 14 15 15 15 15 14 13 13 14 14 14 14 14 14 14 14 13 13 14 14 14 15 15 15 16 16 17 17 19 20 22 23 22 20 18 16 15 15 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 9 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 8 7 6 5 4 5 7 8 10 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 12 14 15 14 13 13 14 18 24 30 35 36 32 26 14 7 5 6 9 11 13 12 12 12 13 13 13 12 11 11 11 12 14 15 15 14 13 12 11 11 12 12 11 9 7 6 7 9 11 11 10 9 9 11 14 15 16 14 12 9 8 7 8 9 10 10 11 13 14 14 15 15 15 14 14 13 11 10 9 8 9 11 12 14 14 14 13 13 14 14 15 15 15 15 15 14 13 13 13 13 13 13 13 13 12 13 13 14 14 14 14 14 13 12 12 11 11 11 11 12 nan
nan 10 11 10 10 10 10 11 11 13 14 14 13 12 9 6 5 3 5 8 11 14 15 16 17 16 15 13 10 8 6 5 5 6 7 7 8 7 7 7 7 7 8 10 11 13 15 16 15 15 15 15 15 15 15 15 16 16 16 16 16 16 15 15 15 15 15 15 14 14 14 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 15 16 17 17 16 15 14 13 13 12 11 11 10 10 10 10 10 10 11 12 13 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 9 7 4 1 1 3 6 9 11 12 12 12 13 13 13 13 12 12 12 12 13 13 13 13 14 14 14 14 13 13 12 12 12 11 11 12 12 12 11 11 11 11 12 12 13 13 14 15 15 16 16 15 14 13 14 14 15 15 16 16 16 17 16 16 15 14 13 13 13 14 14 13 13 13 14 15 16 16 17 16 15 15 15 14 14 14 13 13 13 14 14 14 15 14 14 14 15 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 15 16 18 18 18 18 18 18 19 19 19 20 20 20 19 17 15 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 8 6 5 4 6 7 9 11 12 12 11 10 9 8 8 9 9 10 10 11 11 11 10 10 10 10 11 13 14 14 14 13 12 14 18 25 31 36 35 33 22 10 7 5 6 9 11 12 12 12 12 13 13 13 12 12 12 12 13 14 14 14 13 13 12 11 11 12 11 11 10 8 8 9 10 11 10 8 7 8 11 14 15 16 15 12 9 8 6 7 9 9 11 13 15 17 17 17 16 15 14 13 12 10 9 8 8 10 12 14 15 15 14 14 14 15 16 16 16 15 15 14 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 13 12 11 11 11 12 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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32 32 32 31 26 22 22 20 19 19 19 17 18 15 18 23 26 26 32 39 39 39 43 43 45 49 47 38 37 39 41 44 45 43 39 37 35 32 31 31 32 33 38 48 47 40 36 35 38 38 36 29 21 18 17 16 15 15 14 13 13 14 15 14 16 20 22 20 16 16 15 14 10 10 14 15 15 14 15 15 16 14 12 11 11 9 6 10 16 10 9 8 6 4 14 48 9 8 7 7 7 7 7 6 5 4 3 7 11 8 8 18 30 44 62 53 18 6 3 3 42 305 317 70 16 17 41 56 47 66 124 183 193 242 295 366 623 1008 1230 1229 1184 1289 1560 1660 1594 1577 1639 1740 1812 2051 2192 2207 2275 2476 2644 2655 2547 2433 2445 2677 2793 2720 2561 2301 2049 1821 1118 657 829 1466 2191 2413 2417 2716 2948 2945 2889 2876 2835 2804 2778 2746 2776 2796 2827 2855 2894 2949 3123 3215 3381 3529 3634 3660 3684 3692 3524 3210 2600 1642 679 132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 2 1 0 0 2 2 2 4 4 1 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 29 90 188 270 302 286 254 231 211 193 167 154 138 119 118 122 124 127 134 144 130 119 117 108 110 105 101 105 116 121 121 125 127 125 122 120 118 113 115 113 105 104 104 103 96 86 80 67 59 43 18 14 17 15 19 20 20 19 16 15 15 13 12 13 13 13 14 16 18 19 20 20 20 19 17 20 34 48 50 53 62 81 98 101 95 93 92 92 90 88 88 88 84 77 74 73 72 66 57 50 44 39 39 40 42 41 38 35 33 32 30 29 28 27 23 20 20 24 31 36 37 38 40 41 53 68 91 115 145 164 175 184 175 170 127 88 76 85 179 298 402 512 613 663 666 711 943 1174 1311 1483 1543 1520 1534 1465 1316 1203 1111 1010 980 1036 1104 1055 956 930 1045 1134 994 827 751 774 791 892 1073 1179 1223 1195 1131 1020 905 880 937 976 929 801 624 715 779 834 827 716 575 506 686 1201 1406 1399 1386 1347 1696 2114 2152 2240 2626 3095 3345 3298 3025 2706 2600 2664 2772 2771 2532 2065 1635 1150 835 619 534 528 659 874 1155 1541 1734 1827 1803 1737 1627 1607 1732 1873 1904 1762 1555 1650 2061 2314 2164 1389 1334 1326 1337 1252 1527 1671 1694 1723 1879 2172 2338 2327 2291 2310 2354 2228 1946 1788 1917 2189 2375 2288 2200 2177 2199 2052 1914 1837 1882 1892 1857 1777 1682 1551 1342 1169
35 36 37 36 33 31 31 27 23 24 26 25 30 30 32 36 35 37 39 41 39 35 37 40 43 49 53 49 42 41 42 46 49 45 38 35 33 33 35 38 38 37 39 45 48 45 41 38 39 37 33 26 19 15 13 12 12 14 15 14 13 14 16 16 16 18 21 21 16 13 13 13 10 8 12 15 15 14 14 14 15 13 12 11 10 8 7 11 13 8 9 8 6 4 9 19 7 8 7 7 7 6 4 3 3 3 4 5 5 5 9 15 18 16 18 29 31 15 4 5 55 187 193 144 96 51 29 29 34 113 214 199 206 289 330 279 365 775 1202 1156 1053 1128 1223 1394 1533 1543 1630 1588 1621 1984 2246 2169 2098 2246 2455 2495 2474 2403 2374 2550 2666 2558 2328 2108 1954 1926 1545 872 851 1560 2208 2322 2362 2558 2730 2825 2804 2773 2718 2674 2662 2643 2639 2702 2789 2843 2887 2965 3154 3286 3379 3557 3649 3670 3719 3710 3513 3171 2476 1437 594 129 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 1 2 2 2 2 3 2 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 30 98 204 282 298 283 257 229 210 197 181 167 155 139 120 117 125 127 127 131 138 136 132 129 120 115 114 112 117 122 119 114 113 112 107 103 101 98 95 97 100 100 100 100 101 93 77 70 64 61 49 26 19 19 19 22 24 25 23 20 18 18 16 14 15 16 16 17 18 18 17 22 24 25 23 21 21 30 45 54 58 62 81 98 101 95 92 93 94 93 91 91 91 89 84 80 75 74 70 62 52 46 42 40 41 42 42 39 36 35 35 32 29 27 26 24 22 21 23 23 24 23 22 24 22 28 36 42 49 62 81 90 99 96 93 73 53 44 48 75 129 199 260 309 342 367 436 550 680 846 1060 1238 1367 1457 1539 1630 1681 1582 1447 1337 1228 1157 1055 984 907 875 987 961 830 759 711 715 806 994 1285 1490 1487 1385 1237 1075 977 1000 1024 957 809 642 629 721 804 774 693 626 641 816 1273 1587 1572 1406 1276 1579 2030 2103 2040 2277 2848 3322 3398 3290 3030 2655 2502 2484 2179 1777 1446 1194 899 765 726 722 778 944 1156 1433 1745 1834 1738 1571 1410 1346 1438 1671 1876 1950 1843 1622 1675 2236 2522 2335 1824 1401 1300 1339 1246 1371 1594 1534 1401 1571 1845 2010 2059 2001 1959 2001 1920 1667 1553 1790 2174 2303 2040 1854 1841 1778 1612 1540 1574 1707 1811 1932 1947 1869 1679 1435 1205
52 54 54 54 55 53 49 47 46 39 37 35 37 36 38 41 44 52 46 43 40 36 33 34 36 40 47 52 48 45 41 45 57 51 41 39 36 36 39 41 41 40 41 45 47 48 47 43 42 38 32 27 22 15 13 12 12 14 15 17 16 20 19 19 18 19 22 20 14 10 10 13 11 9 11 15 15 13 13 12 13 13 14 11 9 8 8 9 9 9 8 8 8 6 5 6 7 7 8 7 6 4 2 1 10 8 5 5 5 5 6 7 6 6 9 21 33 21 5 3 14 31 28 25 31 26 20 25 36 72 123 158 192 283 368 375 344 440 664 1011 1223 1386 1442 1439 1434 1427 1402 1405 1575 1932 2192 2105 1958 2101 2357 2497 2523 2480 2431 2374 2343 2204 1990 1921 1791 1867 1489 911 1009 1710 2290 2241 2196 2388 2569 2637 2641 2610 2550 2515 2506 2502 2516 2579 2682 2788 2875 2959 3149 3320 3377 3592 3640 3706 3757 3751 3475 2998 2120 1472 779 180 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 4 28 95 197 280 303 285 263 235 208 196 188 170 159 147 132 119 118 126 125 124 122 127 135 140 140 134 122 121 120 121 119 112 109 105 100 94 92 92 89 86 87 91 95 95 94 93 88 82 80 76 69 54 25 17 17 20 23 24 25 25 22 20 20 19 17 18 19 20 21 21 21 23 27 28 28 29 27 25 25 33 53 62 60 77 98 103 98 93 92 92 93 92 87 88 89 87 84 78 75 72 66 57 49 44 42 43 44 44 41 38 36 36 35 32 28 26 23 23 22 23 25 26 25 24 23 21 21 20 21 21 27 39 43 42 39 35 26 19 17 23 32 44 70 94 107 120 129 155 212 275 395 618 868 1018 1106 1250 1482 1712 1745 1632 1466 1287 1181 1143 1171 1153 1027 968 910 840 817 746 638 720 961 1310 1620 1734 1728 1517 1206 993 1014 1033 945 803 668 674 733 934 947 857 822 994 1323 1633 1781 1688 1513 1529 1800 2068 2114 1992 2162 2729 3140 3238 3143 2965 2485 2162 2083 1823 1468 1199 1118 996 903 870 886 970 1139 1313 1500 1639 1630 1493 1328 1202 1261 1401 1633 1856 2031 2023 1774 1793 2092 2432 2510 2107 1514 1303 1297 1223 1250 1471 1524 1427 1552 1711 1741 1747 1701 1698 1740 1646 1357 1389 1695 2055 2241 1994 1811 1698 1521 1365 1282 1297 1361 1386 1470 1583 1721 1642 1462 1263
66 73 80 80 75 68 64 58 53 49 45 42 39 39 43 45 47 46 44 39 34 32 27 30 34 33 39 44 48 48 43 49 61 56 47 44 42 39 40 43 45 45 43 43 44 47 45 43 43 40 36 31 24 17 13 12 12 14 16 20 22 22 19 21 20 21 21 18 13 8 8 12 13 9 11 15 14 11 10 11 13 13 14 10 9 7 8 10 8 8 7 8 9 7 5 6 7 7 7 7 5 3 1 3 7 8 5 5 5 5 6 5 5 6 6 8 9 8 5 4 4 4 4 4 6 6 6 9 12 15 16 30 77 160 265 382 492 604 530 487 685 1102 1528 1555 1406 1464 1353 1307 1561 1810 1974 1964 1856 1968 2244 2482 2568 2566 2499 2336 2144 1928 1780 1907 1945 1973 1598 1040 1305 1920 2489 2279 2122 2236 2395 2479 2484 2428 2367 2345 2365 2409 2450 2497 2574 2694 2824 2964 3165 3316 3420 3611 3654 3782 3786 3764 3396 3107 2688 1997 992 189 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 20 89 193 261 275 273 266 250 230 210 200 180 164 146 128 119 119 121 123 121 119 121 125 130 137 140 131 124 123 121 117 111 107 106 106 100 92 87 87 87 84 84 87 91 94 89 87 84 84 86 85 74 60 22 16 19 21 23 21 24 25 24 23 22 22 21 22 23 24 24 24 25 27 28 27 26 28 30 30 28 29 44 60 60 65 88 107 102 96 92 91 90 94 86 86 87 89 88 83 77 72 66 60 52 46 43 44 45 44 42 39 35 36 37 35 29 26 24 23 25 26 27 27 26 24 23 21 20 20 18 17 15 18 18 15 15 13 8 5 3 7 13 18 25 33 35 36 35 35 42 67 112 279 499 678 820 959 1222 1488 1593 1518 1384 1280 1226 1231 1292 1337 1262 1026 796 681 573 493 525 615 854 1232 1635 1902 2076 1865 1357 1111 1059 1028 1009 941 790 706 796 972 1038 1050 1219 1542 1783 1830 1833 1747 1633 1631 1781 2077 2127 2004 2200 2774 3209 3323 3165 2840 2325 1906 1658 1579 1527 1381 1338 1291 1214 1188 1134 1116 1260 1367 1455 1477 1400 1245 1168 1100 1204 1407 1631 1830 2055 2111 1942 1741 1770 2111 2378 2173 1688 1411 1437 1357 1261 1481 1658 1579 1597 1664 1699 1599 1395 1478 1593 1441 1260 1318 1530 1831 2063 2097 2040 1823 1569 1320 1179 1137 1086 1074 1123 1282 1450 1483 1407 1309
84 87 88 82 73 69 69 67 64 59 51 45 41 42 46 50 50 48 44 39 37 34 27 31 37 31 39 45 48 51 53 60 61 54 49 47 44 40 40 45 49 50 47 41 38 43 41 40 40 40 37 38 31 22 16 13 13 14 16 20 24 20 20 22 21 22 21 17 11 8 9 11 13 9 10 14 12 9 8 10 11 11 12 10 9 7 9 10 7 5 5 6 8 8 7 7 7 7 7 7 6 4 3 4 5 5 5 5 5 5 5 5 5 6 5 6 5 6 5 5 4 4 4 5 10 16 16 14 18 24 26 21 22 44 95 193 362 563 554 692 803 918 1179 1257 1311 1650 1671 1610 1639 1653 1727 1773 1766 1806 2019 2354 2566 2661 2650 2498 2207 1937 1890 1981 2097 1975 1630 1352 1849 2356 2672 2193 1955 2062 2229 2312 2322 2274 2227 2231 2293 2363 2407 2435 2484 2585 2750 2947 3148 3288 3461 3631 3697 3813 3757 3645 3278 2976 2643 2233 1086 176 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 75 187 263 265 247 248 248 237 227 216 202 174 159 133 114 111 118 121 119 123 118 123 127 132 135 133 125 121 119 117 115 114 111 108 106 100 90 86 86 87 88 87 88 93 94 92 86 80 76 77 80 74 69 28 18 19 20 23 23 25 26 26 27 26 26 25 25 26 26 27 27 27 27 27 26 25 27 29 31 30 28 33 47 66 72 94 106 104 98 93 89 88 90 90 89 86 87 87 84 78 73 66 60 53 46 43 44 45 45 44 40 36 37 38 37 32 26 23 23 24 27 28 28 26 23 22 20 21 21 20 17 16 15 14 12 11 9 6 4 3 2 2 5 11 19 23 27 22 11 11 20 25 93 226 434 665 838 1056 1286 1443 1434 1366 1289 1224 1228 1267 1272 1238 1033 755 510 385 327 314 418 716 1213 1579 1965 2304 2203 1732 1341 1169 1068 1074 1093 1022 943 993 1122 1210 1345 1610 1809 1827 1845 1857 1841 1746 1705 1783 2107 2106 1978 2215 2732 3127 3267 3131 2750 2278 1937 1627 1522 1643 1628 1585 1552 1542 1514 1458 1357 1382 1418 1431 1388 1374 1202 1104 1109 1242 1436 1675 1901 2135 2276 2201 1847 1633 1857 2151 2110 1692 1491 1666 1582 1440 1701 1871 1673 1666 1791 1855 1598 1311 1399 1558 1448 1301 1362 1532 1705 1916 2167 2295 2084 1842 1585 1370 1140 986 906 944 1092 1244 1346 1342 1264
97 93 84 72 65 65 65 67 71 68 58 50 46 45 47 52 53 50 45 44 48 47 40 37 40 40 43 43 47 56 69 68 60 51 46 45 43 40 41 48 54 55 50 41 39 42 39 35 39 40 39 37 31 24 21 19 16 15 16 19 21 20 21 20 20 20 20 16 11 9 10 11 15 8 10 13 11 8 9 10 10 9 9 9 8 8 9 8 6 3 3 4 7 7 7 7 7 7 7 7 7 5 3 4 5 5 5 5 5 5 6 6 6 5 6 5 6 6 6 5 5 4 4 4 6 9 12 12 10 7 5 8 17 29 33 46 107 259 492 554 696 926 1010 944 1010 1295 1606 1840 1844 1636 1591 1611 1713 1716 1851 2188 2472 2623 2646 2575 2351 2090 2059 2078 1896 1885 1849 1911 2431 2751 2758 2226 1950 2000 2180 2225 2184 2152 2137 2181 2274 2326 2330 2334 2386 2482 2622 2826 3063 3277 3496 3655 3739 3810 3682 3404 2945 2360 1836 1642 846 126 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 8 60 174 273 287 253 233 225 217 211 205 199 187 164 148 125 110 108 116 118 119 123 122 127 130 131 131 125 121 116 113 113 112 112 111 108 104 99 94 91 89 89 91 90 88 92 95 92 86 81 77 73 70 69 67 38 22 20 22 24 25 26 27 27 28 28 29 28 28 28 29 29 29 28 27 26 27 28 31 32 32 31 30 29 34 60 78 96 102 103 98 92 88 87 87 87 87 87 87 87 84 79 74 67 58 51 45 41 43 45 46 44 41 38 37 38 38 36 28 24 21 23 26 28 27 25 22 21 20 20 21 21 20 17 16 15 13 11 8 6 3 2 1 0 0 3 12 18 26 19 12 7 10 12 20 68 191 399 638 808 999 1234 1355 1312 1189 1034 980 1084 999 1064 932 678 459 384 337 299 362 727 1245 1544 1873 2362 2572 2256 1772 1409 1186 1102 1135 1098 1047 1178 1308 1401 1605 1887 1840 1775 2020 1984 2046 2016 1934 2003 2240 2150 2005 2205 2658 3047 3202 3083 2698 2342 2262 2169 2069 2052 2030 1966 1786 1731 1677 1615 1545 1533 1555 1505 1385 1294 1165 1122 1166 1270 1466 1743 2011 2256 2524 2641 2333 1923 1751 1934 2042 1664 1677 1865 1730 1584 1911 1798 1705 1697 1821 1996 1912 1659 1636 1749 1720 1505 1567 1730 1830 1798 2159 2452 2370 2198 1988 1690 1404 1149 926 813 891 1076 1229 1302 1266
102 94 82 71 67 65 66 69 73 74 65 55 49 47 46 47 46 43 42 47 57 59 51 45 44 43 43 43 45 50 57 65 69 60 49 44 41 39 41 47 50 48 45 40 39 46 45 37 39 42 44 40 32 21 20 17 15 16 19 19 19 19 19 17 17 19 20 16 12 10 10 10 14 9 9 13 11 8 9 10 9 7 7 8 8 8 9 8 5 3 2 4 6 7 7 7 7 7 8 8 7 7 6 4 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 5 4 4 4 4 7 15 24 28 43 103 264 631 948 1093 1053 1042 1041 1196 1310 1366 1588 1590 1532 1530 1643 1605 1643 1906 2271 2498 2549 2537 2470 2369 2312 2187 2071 2447 2597 2554 2765 2855 2748 2359 2021 2077 2231 2170 2072 2101 2127 2183 2258 2312 2322 2317 2329 2344 2410 2618 2932 3255 3533 3711 3794 3802 3616 3160 2435 1310 481 370 136 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 35 143 261 305 280 240 209 188 179 174 169 167 162 149 136 123 110 107 111 114 118 119 122 127 127 125 122 119 117 113 111 109 109 108 108 105 100 94 90 90 90 91 92 92 91 94 96 94 90 86 81 73 67 66 64 49 28 25 26 26 26 27 28 27 28 29 30 30 29 29 29 29 30 29 28 28 31 33 34 34 34 34 33 33 34 47 70 88 97 100 96 91 87 85 84 85 88 89 90 87 83 79 74 67 58 50 43 38 39 42 45 45 43 40 36 38 39 39 30 25 20 23 27 30 29 25 23 23 22 20 21 22 21 18 17 17 14 12 8 4 3 1 0 0 0 0 5 7 6 5 5 7 7 8 7 14 55 174 367 562 767 1025 1193 1070 819 654 687 759 632 838 774 615 580 552 555 578 695 942 1304 1703 1976 2379 2816 2858 2440 1991 1640 1392 1289 1136 1017 1172 1345 1484 1832 2482 2375 2785 2758 2748 2951 2823 2647 2866 2699 2265 2052 2213 2599 2977 3159 3046 2699 2573 2814 2836 2786 2666 2532 2468 2214 2012 1794 1807 1765 1688 1639 1566 1449 1292 1190 1196 1266 1368 1544 1803 2065 2307 2719 3111 3051 2537 1886 1760 1714 1719 1935 2083 1783 1641 1826 1850 1773 1735 1813 2000 1950 1869 2005 2052 2027 1767 1818 1953 1930 1977 2452 2679 2702 2618 2474 2279 2067 1718 1193 754 778 938 1103 1232 1280
95 95 83 76 72 71 73 75 79 78 71 63 55 47 44 44 42 42 44 57 70 70 57 50 46 43 42 44 43 43 46 52 65 70 60 46 39 40 41 40 35 35 36 39 41 45 47 42 40 43 45 40 28 20 16 14 16 18 23 23 23 20 19 18 17 20 20 16 12 10 9 10 13 12 8 13 10 8 8 9 9 6 6 7 8 9 9 7 4 2 3 5 7 7 7 7 7 7 8 8 7 8 8 5 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 4 3 4 5 4 3 4 3 4 4 4 4 4 5 8 12 19 43 81 119 209 510 922 1057 965 1054 1133 1218 1284 1209 1208 1329 1384 1454 1445 1418 1693 2097 2358 2437 2443 2466 2502 2553 2506 2462 2717 2877 2848 2830 2793 2724 2473 2082 2136 2208 2056 1997 2096 2158 2225 2259 2291 2327 2304 2251 2183 2230 2470 2833 3207 3537 3772 3875 3833 3592 2955 1726 375 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 96 221 295 291 258 225 192 167 154 144 141 148 154 150 139 124 112 108 112 116 117 115 117 119 120 118 116 116 115 111 108 105 104 103 102 99 95 89 85 86 89 89 91 90 92 96 98 96 96 90 83 73 65 63 64 60 36 30 30 28 27 28 27 27 28 28 29 29 29 28 29 30 31 29 28 30 33 34 34 35 36 35 35 34 36 44 63 91 95 96 94 91 88 84 80 80 84 88 91 91 86 81 76 70 62 52 42 36 36 39 41 43 42 40 36 37 39 40 35 27 23 24 28 31 31 28 26 25 24 22 21 21 21 19 17 18 15 12 8 3 1 0 0 0 0 0 1 1 0 0 0 0 1 4 8 11 24 68 170 356 586 767 862 758 684 740 848 945 1040 946 843 838 843 870 951 1054 1139 1276 1451 1857 2275 2610 2952 3166 3087 2786 2306 1782 1450 1105 946 1033 1400 1792 2265 3241 3088 3963 3885 3930 3847 3432 3076 2939 2675 2282 2101 2285 2577 2979 3241 3150 2993 3280 3545 3428 3246 2965 2631 2590 2527 2374 1973 1867 1807 1689 1531 1419 1369 1285 1223 1254 1364 1489 1646 1860 2098 2304 2811 3383 3565 3194 2444 1880 1550 1611 2018 2180 1861 1733 1903 1929 1851 1761 1691 1729 1799 1830 2122 2195 2255 2292 2200 2227 2176 2273 2582 2881 3032 3002 2955 3065 3129 2790 2004 1310 923 847 1076 1213 1259
97 96 88 84 83 82 82 87 84 74 67 63 55 45 41 40 39 42 54 72 79 69 57 53 48 45 45 47 46 43 40 42 54 66 65 52 40 40 40 40 36 35 36 38 43 42 42 43 41 41 39 37 29 20 15 13 17 24 26 26 30 26 24 21 19 21 20 16 12 10 10 11 13 11 8 11 11 9 7 8 10 6 5 6 8 10 10 8 4 3 4 6 7 7 7 7 7 7 8 8 7 8 7 6 3 2 3 4 5 6 6 6 5 5 3 3 3 4 4 3 2 2 4 5 2 4 4 4 4 3 4 4 4 6 7 8 9 16 73 188 327 609 963 1138 1256 1285 1190 1232 1161 1301 1357 1119 1178 1293 1302 1695 1980 2123 2235 2323 2356 2329 2305 2356 2463 2583 2771 2902 2839 2740 2663 2483 2140 2127 2129 2003 1973 2090 2175 2252 2275 2272 2321 2313 2227 2112 2156 2404 2766 3139 3486 3771 3929 3898 3595 2765 1376 255 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 56 166 263 286 264 239 217 187 162 150 137 137 155 164 153 137 121 117 113 119 118 115 113 114 115 115 113 113 112 108 105 103 101 99 97 95 94 90 86 80 78 81 83 86 88 92 95 98 96 94 89 84 77 68 67 65 65 46 40 36 31 29 29 29 29 29 29 29 29 28 28 28 30 30 29 28 30 32 34 34 34 34 34 34 33 35 42 54 89 94 94 90 88 88 85 81 78 80 84 88 91 90 86 81 75 67 56 43 35 32 35 38 39 39 38 36 36 37 39 37 30 26 26 29 32 32 30 27 26 25 24 23 24 22 19 17 17 14 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 19 40 63 158 355 430 531 670 834 927 1011 1109 1145 1071 1013 1006 1047 1139 1247 1368 1407 1485 1588 1844 2305 2759 3164 3345 3347 3277 2956 2335 1698 1268 1047 1061 1592 2341 3191 3731 3335 3057 3679 4106 3869 3445 3018 2645 2380 2036 1851 2144 2531 2955 3289 3465 3550 3898 3872 3653 3386 2863 2529 2491 2582 2505 2217 1882 1688 1594 1424 1285 1279 1271 1230 1255 1397 1565 1691 1883 2077 2317 2832 3419 3674 3480 2933 2250 1683 1556 1916 2078 1854 1877 2223 2216 2076 1765 1639 1871 2102 2040 2072 2125 2178 2185 2257 2284 2302 2459 2709 2968 3109 3178 3353 3572 3856 3728 3118 2355 1370 1096 1263 1438 1595
100 95 90 85 80 80 73 70 67 63 56 56 51 44 38 36 40 61 80 82 73 60 54 54 51 47 45 49 51 49 48 48 49 50 55 57 49 42 40 43 46 42 40 40 46 45 41 40 39 41 38 35 28 21 16 15 21 28 27 27 32 30 27 23 22 21 19 16 13 10 10 11 13 11 8 10 12 8 7 8 9 7 4 6 8 9 10 9 5 3 4 6 7 7 7 7 7 7 7 7 7 8 6 4 2 1 3 4 5 5 5 6 6 5 3 1 1 2 4 3 2 3 4 4 5 4 3 4 4 4 4 4 4 4 4 5 6 6 13 57 194 399 677 1036 1346 1462 1500 1769 1592 1599 1449 1108 1158 1139 1377 1701 1781 1841 1910 2022 2108 2149 2219 2283 2360 2558 2831 2972 2916 2778 2615 2418 2214 2137 2083 1977 1980 2121 2222 2301 2320 2335 2341 2316 2226 2172 2243 2460 2774 3106 3433 3722 3899 3884 3563 2678 1318 279 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 1 37 126 220 271 268 241 213 192 169 152 151 141 141 158 160 139 122 113 117 119 121 113 111 114 115 113 111 110 110 107 103 101 100 100 99 97 94 91 89 87 82 76 76 79 82 86 90 86 92 93 90 89 88 85 77 72 65 64 61 57 51 42 36 35 34 33 33 33 31 30 28 28 28 29 30 30 29 31 33 34 33 32 31 33 34 32 32 39 48 75 87 88 86 85 83 82 80 78 76 77 80 85 88 87 83 79 74 62 45 36 32 31 33 35 36 36 35 35 35 38 39 31 26 25 27 31 32 30 28 26 25 24 24 24 23 20 16 17 13 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 20 43 50 85 184 270 448 657 948 1106 1220 1302 1340 1292 1200 1137 1155 1274 1433 1570 1578 1508 1561 1764 2124 2654 3302 3472 3159 3146 3322 3170 2329 1710 1448 1256 1866 2821 3701 3968 3605 3293 3615 4021 3886 3483 3043 2498 1869 1656 1686 1968 2406 2931 3361 3658 3729 3774 3594 3289 2897 2507 2380 2446 2500 2420 2114 1785 1715 1628 1399 1235 1201 1226 1226 1269 1483 1651 1761 1853 2038 2319 2791 3313 3629 3616 3240 2638 2055 1773 1833 1903 1747 2005 2367 2404 2171 1813 1781 2046 2220 2129 1975 1876 1932 2055 2030 2013 2181 2340 2696 2846 2937 3048 3207 3438 3778 3955 3901 3415 2491 1822 1731 1928 2043
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39 45 49 48 47 45 42 43 42 38 38 38 36 34 33 31 32 34 40 53 65 70 66 66 80 99 101 86 74 56 46 46 51 50 37 30 31 31 30 27 23 23 27 28 25 25 26 26 26 24 22 21 26 31 24 22 19 15 16 20 21 19 20 19 16 12 9 11 15 15 10 5 4 7 11 15 13 9 5 5 9 12 12 12 10 8 7 7 6 5 6 8 10 10 10 10 9 9 7 6 5 5 4 4 5 6 7 7 7 7 7 7 7 7 7 8 7 7 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 12 40 86 109 116 237 434 646 797 807 643 351 94 44 227 547 779 1028 1502 1906 2333 2417 2401 2411 2440 2488 2579 2694 2817 2940 3018 2994 2865 2756 2780 2719 2314 2137 1819 1167 582 227 64 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 3 4 2 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 30 69 81 83 85 85 88 94 99 93 87 84 79 79 80 80 79 77 78 79 80 81 80 86 84 85 82 82 81 81 76 72 68 68 68 68 67 66 67 68 69 71 72 74 74 75 76 75 73 74 75 74 76 78 78 78 77 76 75 74 75 74 74 74 70 71 70 70 70 70 70 70 71 71 71 71 72 72 72 72 72 73 74 72 71 70 69 72 76 77 77 79 80 81 82 82 82 83 84 84 84 83 83 82 78 76 73 73 71 68 65 64 64 63 63 64 65 65 65 65 64 66 66 68 72 75 76 76 76 75 73 70 68 69 72 76 77 71 60 49 48 50 48 37 24 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 14 34 142 320 452 507 560 635 692 711 794 757 773 926 1341 2025 2484 2209 2139 2471 2522 2028 1462 1278 1400 1490 1467 1475 1948 1881 1601 1969 2327 2861 3203 3285 3178 3033 2870 2700 2549 2407 2281 2177 2107 2046 1951 1890 1937 2083 2373 2675 2668 2429 2151 1799 1415 1431 1805 1959 1911 1694 1476 1509 1517 1490 1582 1692 1757 1996 2241 2453 2645 2858 2938 2887 2819 2739 2605 2409 2174 1981 1860 1759 1626 1561 1498 1536 1513 1480 1363 1298 1300 1299 1252 1135 989 892 858 871 891 912 1070 1175 1153 1133 1141 1348 1700 1996
44 44 47 53 52 50 45 43 42 41 40 36 31 27 26 25 27 28 34 50 67 71 64 58 67 90 99 84 69 49 44 46 45 40 36 34 31 31 30 29 21 20 24 25 25 26 27 28 27 25 23 21 21 20 17 17 14 11 17 22 20 20 19 17 14 12 12 14 17 14 8 5 4 6 11 15 15 11 6 5 8 12 13 12 11 9 8 7 6 5 7 9 10 10 10 10 10 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 6 11 27 42 68 160 277 434 564 612 484 277 84 1 10 73 205 377 780 1545 2016 2305 2313 2263 2271 2351 2464 2589 2731 2876 2994 3049 3046 3018 2941 2788 2509 2116 1847 1524 869 294 63 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 3 3 3 2 3 3 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 7 32 66 78 80 82 83 87 99 96 90 87 85 82 81 80 78 77 77 79 79 79 80 81 85 82 82 82 80 79 77 73 67 63 63 65 66 66 65 63 63 64 66 68 68 69 70 69 69 67 69 71 70 71 72 74 76 76 76 74 72 72 71 70 69 67 66 67 67 67 67 68 68 67 69 70 70 72 74 74 73 73 75 77 77 75 74 74 76 80 81 82 83 83 84 85 86 87 87 88 89 88 85 84 84 82 80 77 76 73 69 67 66 64 62 62 63 64 65 65 64 65 66 65 65 70 73 76 77 76 76 76 74 71 70 71 74 78 72 63 50 49 48 43 32 20 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 2 6 10 19 70 181 313 414 500 574 659 715 750 752 810 795 1000 1601 2105 2159 2189 2333 2279 1835 1404 1264 1321 1274 1204 1334 1821 1673 1372 1455 1804 2211 2716 3118 3156 3058 2890 2709 2541 2396 2269 2165 2090 2013 1923 1769 1730 1866 2132 2446 2650 2645 2406 2047 1600 1509 1797 2027 2129 1971 1752 1702 1707 1651 1663 1796 1804 2016 2243 2421 2576 2762 2850 2831 2712 2603 2484 2294 2076 1874 1693 1642 1526 1465 1476 1414 1378 1337 1204 1132 1142 1150 1104 1022 936 889 885 927 981 977 1023 1056 1045 1047 1073 1231 1561 1826
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53 47 50 60 67 71 71 72 76 79 83 86 82 87 92 77 60 52 53 58 55 42 42 61 87 91 99 107 108 99 87 83 86 78 70 63 55 45 42 44 47 47 45 44 41 34 27 24 23 24 21 19 17 17 17 15 16 15 13 10 7 12 14 15 13 11 10 10 9 7 4 2 3 4 5 7 6 5 3 4 6 9 11 12 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 27 242 522 507 382 653 1062 1120 1204 1340 1479 1593 1724 1870 2002 2112 2229 2339 2427 2525 2713 3152 3415 3553 3652 3440 2883 2071 1532 1134 599 131 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 26 38 38 37 40 46 47 47 49 52 56 58 60 62 61 59 56 54 53 53 51 48 47 46 48 50 51 52 53 51 49 50 50 48 47 48 49 51 52 54 56 55 55 61 63 62 59 58 56 55 57 59 60 59 55 53 51 48 48 47 45 45 45 47 49 48 47 48 49 50 56 61 67 71 76 79 79 81 81 81 81 80 79 78 77 77 77 76 77 78 80 80 81 83 85 85 85 86 87 87 86 85 85 84 81 77 73 70 67 61 57 54 54 52 50 49 51 53 53 52 53 54 56 58 58 59 60 59 57 56 57 58 58 57 54 54 58 52 42 36 24 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 7 9 11 12 9 6 7 10 9 8 8 9 11 14 17 20 21 21 20 20 20 21 23 26 30 47 117 265 472 678 801 967 1088 1125 1094 1077 1071 942 1366 1913 2288 2472 2507 2466 2231 1895 1568 1371 1551 2202 2885 2733 2745 2724 2614 2462 2315 2225 2106 1905 1689 1543 1464 1395 1341 1453 2002 2299 2060 1699 1657 1921 2253 2483 2574 2740 3111 3292 3005 2716 2505 2644 2781 2886 2834 2593 2268 1952 1803 1926 2177 2365 2546 2570 2302 1857 1434 1080 832 978 1369 1605 1541 1881 2175 2395 2391 2260 2038 1663 1273 1112 1106 1079 1211 1514 1829 2101 2114 1926 1661 1501
61 50 45 50 58 67 64 70 77 82 86 88 87 97 96 73 58 52 55 56 54 50 54 70 84 93 97 104 96 83 81 91 96 85 70 60 54 47 54 52 49 47 46 45 43 37 30 26 26 26 24 24 24 20 17 17 17 16 13 9 10 13 14 15 13 11 10 9 9 7 4 3 3 4 5 6 5 4 3 5 8 10 11 11 11 10 9 9 8 8 7 8 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 4 3 4 4 3 3 3 3 4 3 3 3 3 2 3 58 250 270 159 248 651 1077 1171 1260 1389 1503 1615 1781 1964 2105 2186 2263 2364 2478 2678 2995 3326 3465 3598 3654 3243 2468 1766 1320 773 278 44 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 19 32 32 29 31 36 39 39 41 44 46 50 52 54 51 49 50 50 49 47 45 44 45 45 46 47 47 48 49 47 46 47 47 45 46 47 48 51 52 52 52 52 53 57 55 57 58 57 57 60 62 62 60 58 56 56 56 52 50 48 47 45 43 47 51 50 49 51 52 53 54 58 63 66 69 72 73 75 76 77 77 77 78 78 78 77 77 76 76 75 75 74 75 75 75 75 75 75 75 76 77 77 77 76 74 72 69 65 61 56 53 51 49 48 48 49 49 52 51 49 49 50 52 55 55 55 56 56 55 54 54 57 58 57 56 57 54 48 40 32 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 7 8 9 11 13 12 9 12 11 9 8 7 9 13 16 19 22 23 22 21 21 20 20 21 24 27 30 51 109 280 496 670 839 1002 1103 1072 962 1005 922 1145 1576 2014 2295 2360 2291 2039 1689 1398 1291 1553 2255 3096 2991 2829 2763 2661 2499 2350 2247 2120 1914 1673 1512 1414 1361 1297 1348 1679 2239 2286 1998 1797 1866 2157 2415 2519 2736 3178 3208 2781 2508 2371 2532 2753 2848 2863 2787 2645 2463 2339 2460 2752 2885 2928 2697 2229 1746 1367 1192 1300 1736 2284 2344 2146 2392 2542 2541 2394 2247 2059 1720 1388 1222 1162 1090 1255 1489 1711 1772 1662 1470 1290 1284
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74 49 40 50 70 86 101 121 138 139 132 126 116 105 98 103 108 118 120 115 107 101 101 105 107 98 89 73 48 50 62 57 48 44 41 37 31 27 27 26 24 22 21 21 22 24 25 24 24 26 24 25 24 21 16 11 10 13 11 10 10 10 10 9 9 8 7 7 7 8 10 13 11 9 7 7 7 7 8 7 8 11 11 10 10 9 10 10 11 11 10 10 11 10 8 7 8 9 9 9 9 9 9 8 5 5 6 6 6 7 7 6 5 5 5 5 5 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 34 101 232 539 849 895 828 1087 1291 1036 738 619 569 560 508 494 553 602 540 273 354 390 88 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 7 9 11 13 16 17 17 18 19 18 20 22 23 25 24 25 26 26 28 29 29 30 31 33 34 31 30 29 30 29 28 27 28 29 30 32 33 34 35 35 37 38 39 40 41 42 42 42 42 41 40 42 42 43 44 45 43 41 41 42 43 44 45 48 48 47 50 52 53 53 54 55 56 58 59 58 57 56 55 55 55 55 54 51 47 45 43 41 41 41 42 40 38 39 39 40 39 38 37 37 38 40 42 44 45 46 46 47 49 48 45 42 39 34 27 16 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 2 13 21 25 28 30 30 32 34 35 34 19 14 21 28 30 35 39 38 36 32 29 29 35 36 36 35 34 33 30 26 23 24 26 29 33 32 31 31 29 26 25 26 26 23 21 19 26 33 39 43 56 78 121 235 492 825 1002 1037 1001 953 1017 1170 1327 1411 1395 1356 1544 2187 2764 3009 2867 2494 1994 1601 1427 1385 1389 1483 1928 2549 2866 3025 3392 3745 3810 3750 3723 3736 3701 3613 3465 3124 2970 3129 3367 3522 3462 3354 3313 3306 3276 3182 3149 3106 3060 2985 2885 2792 2695 2566 2424 2325 2367 2257 2178 2205 2244 2261 2288 2297 2232 2015 1770 1594 1464 1299 1182 1047 958 959 1056 1106
87 55 40 47 66 84 99 115 127 126 115 110 101 102 101 108 117 119 115 116 110 103 104 111 107 96 81 62 44 47 56 46 42 41 40 37 33 30 28 27 25 23 21 22 23 24 25 25 25 25 25 26 23 17 11 8 8 10 8 6 7 9 11 12 11 9 7 7 8 8 10 13 11 9 8 8 8 7 7 8 9 11 11 10 9 9 10 11 11 11 10 10 10 9 8 9 9 8 9 9 9 9 8 6 6 6 6 6 6 7 7 6 5 5 5 5 5 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 31 137 335 592 869 953 688 537 928 1319 1162 883 738 658 606 521 533 643 510 201 54 102 35 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 1 1 2 2 3 3 5 7 9 11 13 15 16 17 18 18 19 21 22 24 24 25 25 25 26 28 29 30 31 33 31 29 28 27 26 26 26 25 25 26 28 31 33 33 33 34 34 35 36 36 36 36 37 37 37 36 37 38 38 40 42 42 43 42 41 40 39 39 40 42 43 44 47 49 51 53 54 55 57 60 62 62 62 60 59 60 61 60 59 56 52 47 44 43 40 42 45 40 36 33 36 38 37 36 34 34 35 37 39 42 43 43 43 44 46 47 46 43 39 33 24 14 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 7 16 21 26 30 31 32 36 38 35 33 26 25 31 36 37 39 39 36 34 30 27 29 39 42 40 37 35 34 33 29 25 23 24 27 29 31 31 31 29 27 26 26 25 23 21 18 22 28 33 36 40 46 62 123 281 514 747 877 934 942 986 1095 1239 1334 1320 1264 1327 1844 2540 2937 2920 2587 2099 1670 1427 1343 1308 1406 1998 2513 2716 2748 3305 3760 3853 3790 3771 3770 3613 3473 3385 3262 3198 3259 3367 3448 3424 3318 3234 3201 3167 3101 3064 3040 3048 3020 2960 2890 2806 2725 2659 2577 2516 2393 2359 2312 2270 2255 2273 2390 2459 2254 2024 1797 1561 1359 1215 1055 899 832 926 980
95 63 38 40 55 74 91 103 108 105 96 94 91 116 113 118 120 116 112 114 116 118 118 113 102 89 73 57 45 44 45 43 40 39 35 33 32 30 27 25 23 22 22 22 22 23 24 24 24 24 25 24 19 10 8 8 7 8 9 7 7 11 12 12 11 9 8 7 7 8 10 11 9 9 9 11 9 8 7 9 11 11 11 11 10 10 10 11 11 11 11 10 9 8 7 9 9 9 9 9 9 8 6 5 6 6 7 6 6 7 6 5 5 5 5 5 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 20 105 384 727 828 857 901 773 824 1237 1532 1386 1130 989 856 741 525 422 441 262 43 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 6 8 9 11 13 15 16 17 17 19 22 24 25 24 24 25 26 27 28 29 30 29 27 26 25 25 24 25 24 23 22 22 26 31 32 31 32 33 35 35 35 35 35 35 36 35 34 33 33 33 35 36 39 42 43 43 42 41 39 39 39 38 40 43 47 50 52 54 56 57 59 61 62 61 62 61 60 60 61 61 60 59 55 52 48 46 42 44 45 41 37 36 37 39 38 37 35 33 32 33 34 36 37 38 39 41 42 44 45 43 38 30 20 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 16 21 27 33 34 37 40 39 34 31 32 39 41 41 41 41 40 37 32 27 30 37 44 46 46 43 39 36 35 32 27 24 23 25 27 31 31 30 28 27 27 27 25 23 22 19 19 23 27 30 33 40 47 63 128 320 526 683 810 884 935 1003 1112 1247 1261 1223 1261 1610 2364 2847 2928 2674 2206 1726 1443 1350 1238 1425 2052 2382 2533 2746 3252 3722 3774 3616 3495 3556 3397 3227 3124 3092 3129 3237 3355 3403 3345 3210 3150 3092 3048 3012 2999 2985 2976 2985 2979 2970 2900 2850 2816 2780 2695 2574 2486 2420 2343 2330 2430 2524 2584 2474 2264 2076 1905 1637 1299 1009 834 715 747 762
93 64 36 29 42 61 82 94 97 92 87 92 105 111 118 125 117 107 106 111 116 120 121 113 97 80 66 52 47 46 45 43 39 34 27 27 29 29 27 24 22 21 21 21 21 22 23 24 23 23 23 21 17 11 10 11 8 8 8 8 9 11 13 13 11 8 7 7 7 10 11 11 9 9 11 12 12 10 10 10 10 10 11 10 10 11 11 11 10 11 11 10 9 8 8 9 9 9 9 9 8 6 6 6 6 6 6 6 7 6 4 5 5 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 70 280 670 892 678 679 888 887 1013 1394 1649 1542 1330 1238 1098 932 474 264 171 75 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 9 10 12 14 15 16 18 20 22 23 24 25 25 26 26 27 27 27 25 25 25 24 24 23 23 22 19 18 20 24 27 24 25 27 27 28 31 32 33 35 37 37 32 31 33 31 30 31 32 35 38 41 44 43 42 40 39 38 38 39 43 47 50 52 54 56 57 59 60 62 62 61 60 60 59 59 60 61 60 58 56 52 49 46 46 44 40 36 35 38 40 39 37 35 32 31 31 31 32 33 34 35 37 40 43 45 43 37 28 18 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 17 23 29 35 38 41 42 39 36 35 36 40 43 42 41 41 39 35 31 29 37 43 47 50 49 46 42 38 36 33 28 25 23 23 25 29 31 28 27 26 26 27 25 24 23 21 19 20 23 27 31 37 43 48 54 154 326 514 676 779 833 901 994 1145 1219 1223 1238 1486 2075 2647 2908 2784 2349 1774 1470 1341 1247 1432 1951 2207 2311 2646 3247 3720 3590 3293 3106 3134 3105 2954 2803 2744 2818 3021 3245 3345 3266 3111 3031 3001 2971 2919 2869 2865 2901 2937 2940 2982 2949 2921 2896 2872 2821 2740 2671 2649 2628 2634 2704 2720 2666 2513 2341 2144 1880 1620 1468 1104 900 750 686 687
92 66 40 30 38 52 72 83 84 79 80 89 100 108 114 120 112 96 99 107 110 115 122 119 102 82 65 52 51 54 51 45 39 31 24 25 27 28 28 26 23 21 20 20 20 21 21 22 22 23 21 18 14 11 11 11 8 7 7 9 10 11 11 11 10 8 6 6 7 9 10 10 10 10 11 12 12 12 10 9 9 10 11 11 11 11 12 11 10 11 10 8 8 8 9 9 9 9 9 8 7 5 6 6 6 6 6 6 6 4 5 5 5 5 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 82 311 651 875 812 583 565 753 892 1060 1271 1504 1511 1365 1306 1179 912 327 98 33 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 6 7 9 10 12 14 16 18 19 20 22 23 24 25 25 26 26 25 25 24 24 24 23 23 22 21 18 16 15 17 21 17 14 17 20 22 23 26 27 28 30 30 29 29 29 29 28 29 31 30 31 33 38 43 45 43 40 39 38 38 40 42 45 49 52 54 55 57 59 60 61 61 61 60 60 59 58 59 61 60 59 57 54 51 49 48 44 39 35 35 38 39 39 38 36 34 32 32 31 32 32 31 31 33 35 39 43 42 35 26 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 19 24 30 36 41 45 45 45 43 43 44 43 43 42 40 39 38 35 36 41 45 47 49 50 50 46 42 40 39 35 31 27 24 24 25 28 28 28 25 25 26 24 24 24 23 22 21 20 19 21 27 33 42 46 44 95 207 361 530 655 718 796 898 1030 1159 1239 1277 1443 1864 2440 2896 2895 2531 1935 1534 1345 1278 1385 1707 1950 2103 2506 3249 3676 3341 2964 2755 2726 2740 2642 2485 2421 2553 2924 3159 3247 3180 3052 2971 2939 2915 2860 2796 2787 2834 2914 2920 2941 2938 2925 2906 2892 2878 2849 2853 2935 2903 2848 2799 2733 2621 2454 2254 2003 1716 1536 1651 1405 1170 936 746 692
96 78 55 47 43 46 58 64 58 54 62 82 94 96 100 105 100 85 92 103 99 98 104 107 101 88 72 60 56 57 55 47 36 28 23 24 28 29 30 29 25 22 20 18 18 18 19 19 19 20 19 17 16 14 11 9 9 8 7 7 9 10 8 7 6 6 5 6 7 8 9 9 10 11 12 12 11 11 10 9 9 11 11 11 11 11 11 10 10 10 8 7 7 8 9 9 9 9 9 8 7 6 6 6 6 6 6 7 6 4 4 4 5 5 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 53 301 706 1003 1027 857 636 465 487 664 664 774 1143 1310 1256 1176 959 491 118 10 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 5 6 8 9 10 12 14 16 18 18 19 20 21 22 22 23 23 22 22 22 23 23 23 22 20 17 16 15 13 14 16 11 12 14 16 19 20 22 23 25 26 26 26 26 26 25 25 26 29 31 32 35 38 42 45 44 44 41 40 39 40 40 43 48 51 54 56 58 59 59 60 61 60 60 59 59 59 59 60 59 57 55 52 50 49 48 43 38 36 38 39 38 37 38 36 35 34 33 32 32 32 32 31 30 30 33 38 42 33 23 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 19 26 34 41 49 52 54 56 55 53 51 48 45 43 41 37 35 40 45 49 51 51 50 49 50 48 44 43 42 39 34 30 27 26 27 27 27 28 26 25 25 26 26 24 22 22 22 20 19 19 24 29 36 40 41 52 95 199 365 514 617 693 784 934 1104 1239 1322 1426 1684 2213 2858 2948 2692 2223 1687 1380 1281 1344 1601 1893 2027 2483 3395 3522 3144 2688 2378 2306 2327 2251 2153 2151 2212 2823 3071 3145 3088 2967 2879 2868 2864 2832 2781 2833 2811 2835 2858 2873 2881 2880 2871 2877 2904 2935 2936 2928 2898 2845 2774 2681 2541 2381 2204 1982 1722 1725 1726 1626 1430 1162 972 849
86 82 65 58 50 46 52 56 51 45 48 66 79 79 83 88 84 80 88 97 92 86 85 90 93 91 82 71 61 57 57 50 36 29 25 25 27 28 30 30 27 23 20 18 17 16 16 15 15 16 18 21 23 20 12 10 9 8 7 8 9 8 6 5 5 5 5 7 8 8 9 8 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 9 7 6 7 8 8 9 9 9 9 8 7 6 6 6 6 6 6 7 6 5 4 5 5 5 5 3 3 3 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 7 94 453 827 1035 1036 923 712 403 301 304 342 394 731 924 1012 869 513 141 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 9 10 11 13 15 16 17 18 18 19 20 21 21 21 21 21 22 23 23 21 17 16 16 16 13 12 12 11 11 11 13 15 17 19 21 23 25 25 27 25 23 23 24 25 27 31 32 34 36 40 44 46 48 45 41 41 40 40 41 45 49 53 54 56 57 59 58 60 59 59 59 59 60 59 58 57 56 54 50 49 48 46 41 37 36 36 36 35 35 36 36 35 36 35 33 31 30 31 31 28 27 33 38 41 32 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 2 8 15 20 29 41 52 60 66 70 72 71 67 63 59 55 50 47 45 46 49 52 53 53 52 50 47 47 47 45 44 44 43 39 35 31 29 29 29 28 29 28 27 25 26 27 27 24 23 20 20 18 18 22 26 29 32 37 42 44 81 195 350 508 610 717 870 1046 1201 1303 1398 1622 2105 2663 2913 2826 2501 1975 1520 1320 1273 1486 2049 2304 2844 3390 3446 3032 2510 2146 1988 1978 1968 1903 1976 2025 2441 2866 3057 3010 2894 2808 2795 2800 2793 2769 2776 2772 2766 2764 2769 2790 2793 2803 2826 2865 2893 2886 2865 2834 2785 2732 2657 2529 2405 2254 2063 1857 1752 1701 1671 1639 1387 1153 1151
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15 23 21 21 24 27 27 21 16 15 17 18 19 21 22 22 20 19 18 19 21 20 17 17 17 17 18 20 22 22 22 21 21 20 19 18 17 17 16 15 14 14 14 13 11 10 10 10 10 9 9 8 8 8 8 8 7 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 29 73 133 188 236 284 324 355 382 408 435 468 497 520 547 564 569 565 554 550 555 545 528 515 503 495 488 472 454 446 433 418 407 405 412 408 385 374 379 394 406 399 361 317 307 286 259 235 227 235 233 224 218 220 211 187 161 145 132 121 110 102 91 80 70 64 60 58 60 60 60 62 64 65 71 87 102 109 114 121 134 153 162 121 80 54 63 146 335 659 713 737 989 1411 1696 1624 1500 1395 1291 1193 1131 1069 1003 985 1056 1075 1164 1327 1573 1863 2079 2034 1851 1664 1526 1469 1469 1477 1478 1478 1564 1557 1496 1442 1422 1447 1485 1546 1643 1727 1760 1719 1608 1486
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