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 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 10 14 21 26 21 11 5 6 6 6 6 5 6 6 6 6 6 7 8 8 9 6 -2 -9 -9 -2 4 6 7 7 8 8 8 8 8 8 7 7 7 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 7 5 4 3 3 4 nan
nan 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 7 6 6 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 11 15 20 22 18 10 6 6 6 6 5 5 6 6 6 6 7 8 8 9 9 6 -3 -10 -8 -1 4 6 7 7 7 8 8 8 8 8 7 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 6 5 3 3 3 nan
nan 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 10 14 18 18 16 15 13 9 6 6 5 5 5 6 6 6 7 7 8 9 9 8 2 -6 -12 -9 -1 4 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 7 8 8 7 6 4 3 3 nan
nan 5 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 12 18 21 16 11 12 13 10 7 5 5 5 6 6 6 7 7 8 8 9 9 5 -2 -11 -14 -7 2 5 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 6 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 7 8 8 7 5 4 3 nan
nan 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 7 7 7 8 8 7 7 7 8 8 9 13 20 24 18 9 8 9 8 6 5 6 6 6 6 7 8 8 9 9 9 8 3 -7 -14 -11 -1 4 5 6 6 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 6 7 8 9 8 7 5 3 nan
nan 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 9 12 19 25 20 11 7 6 6 6 6 6 6 7 7 7 8 9 10 10 9 6 -2 -11 -14 -6 2 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 7 7 8 9 8 6 4 nan
nan 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 10 17 23 21 14 8 6 6 6 7 7 7 7 7 8 9 9 9 9 7 2 -7 -13 -9 -1 4 5 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 6 6 6 7 8 9 9 7 5 nan
nan 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 8 8 9 9 9 10 9 10 14 20 21 16 10 7 7 8 8 7 6 7 7 8 9 9 9 9 6 -0 -9 -11 -4 2 4 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 6 7 8 9 8 7 nan
nan 4 4 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 12 17 21 19 13 8 8 10 8 5 5 7 8 8 9 9 10 10 8 1 -7 -7 -2 3 5 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 7 8 9 9 8 nan
nan 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 14 20 21 16 10 9 9 6 4 6 8 9 8 8 10 11 12 9 1 -7 -8 -2 3 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 7 9 9 8 nan
nan 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 10 10 9 9 13 19 22 18 12 9 8 6 6 8 9 9 8 8 10 12 10 5 -5 -11 -10 -3 3 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 7 7 7 7 6 6 7 8 9 9 nan
nan 4 3 2 3 4 5 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 10 9 9 9 14 20 22 17 11 9 8 7 8 9 10 9 9 8 10 11 8 -2 -10 -13 -9 -1 4 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 7 7 7 7 6 6 7 7 9 9 nan
nan 4 2 2 2 4 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 10 9 8 9 14 22 24 16 9 8 8 8 9 10 10 10 9 8 9 10 5 -5 -13 -12 -5 2 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 7 7 6 6 7 8 9 nan
nan 5 2 -0 -1 2 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 8 9 9 9 9 9 10 16 24 23 14 8 8 8 8 9 10 10 10 9 8 8 8 2 -8 -14 -10 -2 4 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 6 7 7 7 7 7 6 6 8 9 nan
nan 8 3 -3 -6 -1 4 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 9 10 11 12 13 19 23 18 10 8 8 9 9 10 10 10 9 8 7 7 5 -3 -13 -14 -7 1 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 7 8 nan
nan 10 5 -5 -9 -3 4 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 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 6 6 7 7 8 10 14 17 17 17 18 17 11 7 7 9 10 10 10 10 9 8 7 7 6 0 -9 -15 -11 -3 3 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 7 nan
nan 7 4 -3 -5 -1 3 5 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 7 8 9 13 20 23 21 16 12 9 6 5 7 9 10 10 9 8 8 7 7 6 3 -5 -13 -13 -6 1 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 7 nan
nan 1 2 2 1 3 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 7 8 11 17 24 25 18 11 7 5 4 5 8 10 10 10 8 7 7 7 7 6 -1 -10 -14 -10 -2 3 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 6 6 6 nan
nan -2 1 3 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 5 5 5 6 7 10 15 22 26 21 12 6 5 6 6 6 8 10 10 8 7 7 7 7 7 3 -5 -14 -15 -7 2 4 5 6 6 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 6 6 6 nan
nan -3 0 3 5 5 6 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 7 9 10 7 3 2 3 3 4 4 4 4 5 5 6 10 15 21 25 23 14 6 4 6 7 7 8 9 10 9 7 7 7 7 7 6 0 -10 -16 -12 -2 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 6 6 nan
nan -4 -3 0 4 5 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 10 16 16 9 3 0 0 2 2 2 3 4 4 5 8 14 21 25 23 16 8 5 5 6 7 7 8 9 9 8 7 7 7 7 7 5 -2 -13 -15 -6 2 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 6 nan
nan -4 -6 -1 4 5 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 7 11 17 21 18 11 4 1 0 0 -0 0 1 3 4 7 11 19 26 25 17 9 5 4 5 6 6 7 8 9 9 7 7 7 7 7 7 4 -5 -14 -12 -3 2 4 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan -1 -4 -0 4 5 6 6 6 6 6 6 6 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 7 12 18 21 20 14 9 5 4 4 2 -1 -2 -2 1 7 12 17 23 25 19 10 6 5 4 5 5 7 8 9 9 7 7 7 7 7 7 6 1 -9 -15 -10 -2 3 5 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan -0 -1 2 5 6 6 6 6 6 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 8 13 19 21 20 14 9 6 6 7 7 5 2 -1 -2 4 12 17 19 20 17 11 6 5 5 5 5 6 8 9 9 7 6 6 7 7 6 6 4 -2 -12 -15 -7 0 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 nan
nan -3 -3 0 3 5 6 6 6 6 5 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 7 8 10 13 18 21 19 14 9 7 6 6 7 7 7 5 3 3 7 13 15 15 12 8 6 5 5 5 6 7 7 8 9 8 6 6 7 7 6 4 4 3 -4 -13 -12 -4 2 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 nan
nan -4 -6 -4 -0 4 6 7 6 5 4 5 4 4 7 10 9 7 5 3 1 2 5 8 8 6 4 4 7 12 15 16 16 17 16 12 9 7 7 7 6 6 7 7 6 6 7 9 9 9 8 7 5 4 5 5 6 7 8 8 8 8 7 6 6 7 7 5 2 2 2 -5 -13 -10 -3 2 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 nan
nan -0 -3 -5 -3 2 7 8 7 4 3 3 -0 1 10 16 15 10 6 1 -2 -1 7 13 12 7 4 4 9 17 21 18 13 10 9 7 7 6 7 7 6 7 7 6 5 6 7 8 7 6 6 6 5 5 5 6 6 7 8 8 7 7 6 6 7 7 6 4 2 4 3 -5 -10 -8 -2 2 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 nan
nan 4 2 0 0 3 7 8 7 4 3 0 -5 -0 12 19 16 11 6 2 -3 -1 10 16 13 7 4 5 9 16 18 13 8 7 6 6 6 6 6 6 6 6 6 5 5 6 7 8 7 6 6 6 5 6 6 7 7 7 7 7 7 6 6 6 7 6 6 5 5 7 3 -5 -10 -8 -2 2 4 5 6 6 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 nan
nan 6 6 5 5 5 7 7 7 6 5 -0 -4 2 13 17 13 9 7 4 1 3 10 13 10 7 5 6 8 11 10 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 1 -7 -11 -8 -2 2 4 5 5 6 6 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 nan
nan 6 6 6 6 7 7 6 6 6 6 2 1 6 11 12 9 6 6 6 5 6 8 8 7 7 7 7 8 7 6 5 6 6 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 5 -2 -9 -12 -7 -1 2 3 4 5 6 6 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 nan
nan 6 6 6 7 7 7 6 6 6 6 5 6 8 9 8 7 6 6 6 7 7 6 6 6 7 7 7 7 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 5 6 7 6 6 6 7 7 7 7 4 -2 -9 -10 -5 -0 2 3 4 5 6 6 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 nan
nan 6 6 6 7 7 7 6 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 6 6 6 7 8 8 7 4 -1 -5 -6 -3 -0 2 2 3 4 5 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 nan
nan 6 6 6 6 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 7 7 7 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 5 5 5 6 6 5 5 6 7 8 7 7 5 3 -0 -3 -3 -0 1 2 3 4 5 5 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 8 8 8 9 10 11 11 12 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 nan
nan 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 5 6 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 5 5 5 5 5 5 6 7 8 8 7 7 6 5 3 -2 -3 -1 1 2 3 4 4 5 6 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 9 8 8 8 9 10 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 6 7 7 7 7 7 7 7 7 7 7 6 7 7 8 7 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 6 6 7 7 7 7 6 5 5 6 6 6 6 7 8 8 7 7 7 7 7 4 -1 -2 -1 -0 1 2 3 4 5 6 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 10 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 nan
nan 6 7 8 8 8 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 8 8 7 7 6 7 7 7 4 1 -1 -2 -2 0 2 3 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 8 9 10 11 12 13 12 12 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 nan
nan 6 7 8 8 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 7 7 6 7 8 8 7 6 6 6 6 6 4 2 -0 -2 -2 0 2 3 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 8 8 9 11 12 13 12 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 nan
nan 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 8 8 7 7 8 8 7 8 8 8 8 8 7 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 6 6 6 6 6 6 5 4 2 -0 -0 1 2 2 2 3 4 5 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 10 11 12 12 12 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 nan
nan 8 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 8 8 8 7 6 6 7 7 6 6 6 6 4 3 2 1 1 2 2 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 9 11 12 12 12 11 10 9 8 8 8 8 9 10 10 10 10 10 9 10 10 11 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 5 3 1 1 2 2 3 3 4 5 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 11 12 12 12 12 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 8 7 7 7 7 6 5 5 5 6 7 7 6 3 2 3 3 3 4 4 4 5 5 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 9 9 11 12 13 13 12 11 9 8 8 8 8 9 9 10 11 10 10 10 10 10 10 11 11 11 nan
nan 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 7 7 7 6 4 5 6 6 5 4 4 4 5 5 5 6 6 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 11 12 13 13 12 11 10 8 8 7 8 8 9 10 11 10 10 10 10 9 10 10 11 11 nan
nan 8 7 7 7 7 7 8 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 7 10 11 11 9 7 6 5 5 5 5 5 6 6 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 12 13 13 13 11 10 9 7 7 7 8 9 10 11 11 11 10 10 9 10 10 10 10 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 8 8 7 7 7 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 9 8 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 12 13 13 12 11 8 6 5 5 5 5 5 6 6 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 13 12 10 9 7 7 7 8 9 10 10 11 11 10 10 9 9 9 10 10 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 7 8 9 11 13 14 14 12 10 9 9 8 6 6 5 5 6 8 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 12 10 9 7 6 6 8 9 10 10 11 11 10 10 9 9 9 9 10 nan
nan 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 8 9 8 6 6 6 7 8 8 8 8 8 8 9 8 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 11 13 15 17 18 17 15 12 8 6 4 5 6 7 8 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 13 12 10 8 6 6 6 7 9 10 11 11 11 11 10 10 9 9 9 10 nan
nan 7 7 6 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 7 6 6 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 9 11 14 18 21 22 19 15 9 6 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 12 11 9 7 6 6 6 7 9 10 11 11 11 11 10 10 9 9 9 10 nan
nan 8 7 7 7 7 7 7 7 8 8 8 7 7 7 9 9 9 9 7 7 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 10 11 13 16 17 16 13 10 8 7 6 6 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 11 10 8 7 6 6 7 8 9 10 11 11 11 11 11 10 10 9 9 9 nan
nan 8 7 7 8 7 7 7 7 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 12 13 11 9 7 7 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 10 11 12 12 12 11 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 10 9 9 9 nan
nan 8 7 7 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 7 6 7 10 14 16 15 13 11 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 7 8 10 11 12 12 12 12 11 10 9 9 8 9 9 10 11 11 11 11 11 11 11 11 10 9 9 9 nan
nan 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 8 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 8 8 7 8 7 7 7 7 7 7 7 7 7 8 11 13 15 16 16 15 13 11 8 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 11 13 13 14 14 13 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 9 nan
nan 7 7 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 8 7 8 8 7 7 6 6 6 6 6 7 8 9 9 10 11 13 16 17 16 12 8 6 5 5 5 6 7 7 7 7 7 6 6 6 7 9 11 13 14 15 15 15 14 14 13 13 13 13 13 13 12 12 11 11 10 11 11 11 10 10 9 nan
nan 7 7 8 8 8 7 8 8 8 8 7 7 6 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 9 9 9 8 8 7 8 8 8 7 7 6 5 5 5 6 7 8 8 8 7 8 9 12 15 14 11 7 5 4 5 6 7 8 9 9 8 8 7 6 6 7 9 11 13 15 16 17 17 16 16 15 15 14 14 14 13 13 12 11 10 10 10 10 10 10 10 9 nan
nan 7 7 7 7 7 8 8 9 8 8 7 6 6 7 7 8 8 9 9 8 8 7 6 6 7 7 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 9 10 11 9 8 7 7 6 6 6 7 8 8 8 6 6 5 6 6 6 7 7 7 6 6 7 8 9 11 11 9 6 4 4 6 8 9 11 11 11 10 9 8 7 7 7 8 9 12 14 15 16 17 17 17 16 15 14 14 13 13 12 11 10 9 9 9 9 10 10 9 9 nan
nan 7 7 7 7 8 8 9 9 8 7 6 6 6 7 7 8 8 9 9 8 8 7 6 6 6 7 7 7 6 7 7 7 6 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 10 9 9 8 7 6 6 7 8 8 8 7 6 7 7 6 6 6 5 5 5 5 6 7 8 8 8 8 7 6 6 8 10 12 13 13 12 11 10 9 8 7 7 8 9 10 12 13 15 16 16 16 16 15 14 14 13 13 12 11 10 9 8 8 8 9 9 9 9 nan
nan 7 7 7 7 8 8 9 8 7 6 6 6 7 7 7 8 8 9 9 8 8 7 7 7 6 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 5 5 6 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 10 10 10 11 10 8 7 7 8 8 9 9 9 9 9 9 8 6 5 4 4 3 4 4 5 6 7 8 8 9 10 11 12 12 12 13 14 13 12 11 10 9 9 8 8 8 9 10 11 13 14 15 15 15 14 13 13 13 12 12 11 10 9 8 7 7 8 8 8 9 nan
nan 7 7 7 7 7 8 9 8 7 6 6 6 7 7 7 8 8 8 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 6 5 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 9 9 10 12 12 12 11 9 7 5 4 4 4 4 4 4 5 6 7 8 11 15 17 16 14 13 14 16 15 14 12 11 10 9 9 8 8 8 9 10 11 12 13 14 14 13 13 12 12 12 11 11 10 9 8 7 7 7 7 8 8 nan
nan 7 7 6 6 7 8 8 8 7 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 7 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 9 10 11 11 12 12 12 10 8 7 6 6 6 5 5 5 6 6 5 6 10 14 17 18 19 21 23 23 21 18 14 12 10 9 9 9 8 8 9 9 11 12 12 13 13 13 12 12 12 11 11 11 10 9 8 8 7 7 7 7 7 nan
nan 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 11 12 12 11 11 10 10 9 10 10 10 10 9 8 7 7 7 7 7 7 7 6 4 4 6 9 12 16 22 28 31 30 26 21 15 11 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 11 11 10 10 10 9 8 8 7 7 7 7 7 nan
nan 7 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 8 8 8 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 11 11 10 10 10 10 10 9 8 8 8 8 8 9 8 7 6 5 4 5 6 8 13 19 23 25 25 23 18 13 10 9 9 9 9 9 10 10 10 10 11 11 11 12 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 nan
nan 8 8 9 8 8 8 8 7 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 9 10 10 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 11 10 10 11 11 12 13 13 12 12 12 11 11 11 10 9 8 8 8 9 9 8 7 6 6 6 6 6 7 10 12 14 14 14 13 12 12 13 12 10 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 7 nan
nan 7 8 9 8 8 8 8 7 7 7 7 7 6 6 7 7 7 6 6 7 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 9 8 8 7 7 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 9 8 7 7 7 7 7 7 8 9 9 8 8 8 11 15 18 17 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 nan
nan 7 8 9 9 8 8 8 8 7 7 7 7 6 6 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 9 10 11 11 10 9 9 10 11 11 12 12 12 11 11 10 10 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 8 7 7 8 12 17 20 20 18 15 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 8 8 8 7 nan
nan 7 8 10 10 9 9 9 8 7 7 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 9 8 7 7 8 9 9 9 9 9 9 9 7 6 6 6 6 7 8 8 8 8 9 10 11 13 14 14 13 11 10 10 11 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 10 9 8 8 8 8 7 7 7 6 7 7 8 8 8 9 11 13 15 17 19 19 17 14 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 8 8 nan
nan 7 9 10 10 9 8 9 8 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 9 8 8 9 8 9 9 9 8 8 7 7 8 8 9 9 10 10 8 6 4 4 4 5 7 8 8 8 8 9 11 13 14 15 14 13 12 12 12 12 11 10 9 9 8 8 9 10 10 9 9 9 9 9 8 8 8 9 11 12 13 12 10 9 8 9 9 8 7 7 7 7 8 8 7 7 7 7 7 8 10 12 16 18 19 18 16 14 14 14 13 13 12 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 8 8 nan
nan 7 8 9 9 8 8 9 8 7 7 7 7 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 7 8 8 8 9 8 7 7 7 8 9 9 10 9 6 4 2 3 4 6 7 8 8 8 9 10 11 11 12 12 12 12 12 13 12 11 9 7 6 6 6 7 8 9 9 9 9 9 9 9 7 6 6 7 9 11 11 11 11 10 10 10 9 8 8 8 9 9 9 8 7 6 6 5 5 5 6 7 9 12 15 17 19 20 22 23 22 20 16 12 10 10 10 10 10 10 9 9 9 8 8 8 7 7 8 8 nan
nan 7 7 8 8 7 8 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 7 8 7 6 7 7 8 9 8 7 7 7 8 9 9 9 8 5 3 3 4 5 8 10 10 9 9 9 10 10 10 10 10 10 12 13 13 11 8 6 4 3 4 5 7 9 10 10 10 10 10 10 9 8 7 7 8 9 9 10 11 11 12 11 10 9 9 9 9 9 9 9 7 6 6 5 5 4 4 3 3 5 8 11 15 18 22 25 26 25 23 17 12 10 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 6 7 8 9 8 7 7 7 8 8 8 8 7 6 5 5 5 7 9 11 11 10 10 9 9 9 8 8 9 10 12 12 11 7 5 4 3 4 5 7 9 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 9 9 8 7 7 7 6 6 6 5 3 3 4 6 8 10 11 14 17 19 18 16 11 7 7 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 nan
nan 7 6 6 7 7 8 9 9 9 7 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 7 6 6 7 7 8 8 7 7 7 7 7 7 8 8 7 6 6 6 7 9 10 10 9 8 7 7 8 8 8 9 10 11 10 7 5 4 4 5 7 8 9 11 12 12 12 11 11 10 9 9 10 10 11 10 10 9 10 10 10 10 11 11 12 12 11 10 9 7 6 7 7 7 7 6 5 4 5 6 8 9 9 10 11 12 12 10 5 -1 -3 3 7 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 7 6 6 7 7 8 9 10 10 8 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 7 6 7 7 7 7 8 8 9 9 8 7 6 7 7 8 8 7 7 7 8 8 8 8 8 9 9 7 5 4 4 6 8 9 10 10 11 11 10 10 10 10 9 8 9 10 11 12 11 10 10 10 10 10 9 9 10 11 12 12 11 9 8 7 7 7 7 7 7 6 7 7 7 8 9 9 10 10 10 9 6 1 -3 -1 5 9 10 11 10 11 11 10 10 10 10 10 9 9 9 9 9 nan
nan 7 7 6 7 7 8 8 9 10 9 7 6 6 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 5 6 6 7 7 8 8 9 9 9 9 7 7 6 6 7 7 7 8 8 9 8 8 7 7 7 6 5 4 4 5 7 9 10 10 10 10 9 8 8 8 9 9 10 11 12 12 13 12 12 11 11 10 9 8 8 9 10 11 10 10 9 8 8 8 8 7 7 7 8 9 9 8 7 7 8 9 10 10 8 4 1 2 6 11 15 15 13 11 11 11 11 11 11 10 10 9 9 9 9 10 nan
nan 8 7 6 6 7 8 8 9 9 9 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 5 5 5 5 6 7 8 8 9 9 10 9 9 8 7 7 8 8 8 9 9 8 7 6 5 5 5 6 6 5 6 7 8 9 10 11 10 9 8 8 8 9 9 10 11 12 12 11 12 12 12 12 11 10 9 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 6 6 8 9 9 7 6 7 12 18 22 23 21 17 14 12 11 11 11 11 10 10 10 10 10 10 10 nan
nan 8 7 6 7 7 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 7 5 4 4 5 5 6 7 8 9 9 10 10 10 9 8 9 8 8 7 7 7 6 5 4 4 4 6 7 7 7 7 8 8 9 10 10 10 9 10 10 11 11 11 11 11 11 10 10 11 13 13 12 10 9 9 8 8 8 10 11 10 10 9 8 8 8 9 9 9 9 9 10 10 10 9 8 7 7 8 8 9 11 16 23 27 28 26 24 22 19 15 12 11 11 11 10 10 10 10 10 10 10 nan
nan 9 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 10 9 8 7 9 8 6 4 4 4 5 6 7 8 9 10 10 11 11 10 9 9 9 8 6 6 6 5 5 4 4 5 7 7 7 8 8 8 7 8 8 8 9 10 11 12 12 13 12 11 10 9 9 11 12 12 11 9 9 9 8 8 9 10 11 12 11 11 10 9 8 8 9 9 9 9 9 9 10 10 9 9 8 8 8 9 10 13 17 21 22 21 20 21 22 21 17 13 11 10 11 11 10 10 10 10 10 11 nan
nan 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 7 8 9 9 8 8 8 9 9 9 7 7 8 8 7 5 4 4 6 7 8 9 9 9 10 11 11 10 10 10 10 9 7 7 7 6 6 6 6 7 8 8 7 8 8 7 7 7 7 7 8 10 11 11 11 11 11 9 8 8 10 12 12 10 8 7 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 12 13 13 12 12 14 16 17 16 12 11 10 10 10 10 11 11 10 11 11 nan
nan 9 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 6 7 8 9 9 8 8 8 8 9 8 6 6 8 9 9 7 5 6 7 8 8 8 8 9 10 10 10 10 10 11 12 10 8 8 8 8 8 7 8 8 8 7 7 8 8 7 7 7 7 8 9 10 10 10 11 10 9 7 6 8 10 11 11 9 8 9 10 9 9 9 9 9 8 8 9 10 11 12 13 12 11 10 9 9 9 9 8 8 8 8 8 9 10 10 9 8 8 9 8 7 6 5 6 8 9 9 10 10 10 10 10 10 10 10 10 11 nan
nan 8 8 8 8 8 7 7 8 8 7 7 8 8 8 8 7 6 7 8 8 8 8 9 8 8 8 7 6 6 7 9 9 8 7 8 9 8 7 7 7 8 9 9 9 9 10 11 11 9 8 8 8 8 8 8 8 9 8 7 7 7 6 6 7 7 7 8 9 10 10 10 10 10 8 7 6 9 11 11 10 9 10 13 12 11 9 8 7 6 6 7 9 10 11 13 14 13 11 11 11 11 11 10 9 9 8 9 9 11 11 10 9 8 8 8 5 1 -3 -5 -5 -3 -2 3 7 8 9 9 9 10 10 10 10 10 nan
nan 8 9 9 8 8 7 7 8 8 8 7 7 8 8 8 7 7 7 8 8 7 8 9 9 8 7 6 6 6 7 8 8 8 9 10 9 7 7 7 8 8 8 8 8 8 9 10 11 10 9 7 7 7 7 7 8 7 8 7 6 6 5 5 6 6 7 8 9 10 10 10 10 9 8 7 8 10 11 11 10 10 13 15 15 14 12 10 8 7 7 8 9 10 11 12 12 11 11 11 12 12 12 11 10 9 9 9 11 11 11 9 8 8 8 7 4 -0 -3 -5 -6 -5 -3 2 6 8 9 9 9 10 10 10 10 10 nan
nan 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 9 9 9 8 7 7 7 8 8 8 8 8 10 10 8 7 7 8 8 8 8 7 7 8 8 9 10 10 9 8 8 8 8 8 7 7 8 8 7 5 5 5 5 6 7 8 9 9 8 8 8 8 7 7 9 10 11 11 10 11 14 16 16 16 14 12 11 11 10 9 8 9 10 10 10 10 11 11 11 11 11 11 10 9 9 10 11 10 9 7 6 6 6 6 5 6 7 8 7 5 5 7 8 9 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 7 7 8 9 8 8 8 8 8 9 9 8 8 8 9 9 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 10 11 11 11 11 10 10 10 10 8 7 5 5 5 6 7 8 8 7 7 7 7 7 6 7 9 10 11 10 10 11 14 15 16 15 13 13 14 14 13 11 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 8 7 7 7 6 6 6 8 11 16 19 18 14 11 9 9 9 9 10 10 10 10 10 10 10 nan
nan 8 8 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 11 12 13 13 13 13 13 12 11 8 7 6 5 6 7 7 6 6 6 6 6 6 6 8 9 9 9 9 9 11 12 13 13 12 11 12 14 15 14 13 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 10 9 8 8 9 10 10 9 9 10 12 16 18 17 14 10 9 8 8 9 9 9 9 9 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
19 21 23 25 27 30 33 35 36 37 39 40 41 41 42 43 44 44 46 46 46 45 47 49 50 52 54 56 54 49 49 46 43 42 42 42 43 41 40 38 37 35 35 35 33 33 33 33 33 33 32 32 35 38 39 39 37 34 31 27 22 16 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 7 8 9 10 12 12 12 13 15 17 19 22 26 28 29 29 29 28 27 25 19 14 14 14 13 14 14 13 12 9 6 5 4 3 2 3 3 4 6 10 13 16 19 22
17 20 23 26 28 31 34 35 35 36 37 38 38 40 40 41 41 41 42 43 44 45 46 47 48 48 50 53 53 51 52 46 42 40 38 38 37 36 35 33 33 32 32 31 31 31 32 32 31 31 31 31 32 34 35 35 34 31 27 23 19 13 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 1 3 5 7 8 10 13 15 15 14 14 14 15 18 21 24 25 27 29 29 30 31 30 29 23 16 15 15 14 14 14 14 13 11 7 5 5 4 3 3 3 3 5 7 11 14 18 21
14 18 22 26 29 32 33 34 34 35 35 35 37 39 40 40 39 38 38 39 40 41 44 46 47 48 49 49 49 51 52 49 46 43 40 37 36 36 35 36 35 34 33 34 34 34 34 34 34 32 32 33 34 36 35 35 33 29 25 20 15 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 11 13 16 17 17 17 17 17 17 17 19 25 29 31 31 30 30 30 32 32 34 28 21 19 19 19 17 15 14 14 13 10 7 6 5 4 3 3 2 3 5 8 11 16 20
12 15 19 24 29 32 34 35 35 35 34 34 37 40 42 41 39 38 38 37 37 38 40 42 45 47 48 47 47 47 47 47 47 46 43 40 39 38 37 38 36 34 34 35 36 37 38 37 36 34 32 33 35 35 35 33 30 26 23 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 15 18 20 21 22 23 25 23 23 25 26 29 32 34 34 35 34 31 30 32 34 31 27 26 25 23 18 15 13 13 13 12 9 8 7 5 5 4 3 2 3 6 9 14 19
12 14 17 21 27 32 35 37 37 37 37 38 40 43 46 46 43 40 39 39 38 36 36 38 40 43 45 45 46 46 45 45 45 45 45 42 40 39 39 36 34 33 33 34 36 38 41 42 42 37 33 32 32 33 33 31 28 24 21 16 7 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 3 6 9 14 19 23 24 28 29 30 30 30 31 31 32 32 34 35 37 39 40 36 33 33 34 33 32 30 28 23 17 15 14 14 14 14 13 11 8 6 6 5 3 3 2 4 7 11 17
13 14 15 18 23 28 31 33 35 36 37 40 41 43 45 45 45 43 43 45 45 43 40 38 38 37 39 40 42 43 44 44 43 42 42 39 37 37 36 33 31 30 30 31 31 33 37 40 40 36 33 31 32 32 31 29 26 23 19 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 18 23 26 29 34 36 34 34 36 36 36 35 34 35 36 37 39 43 42 40 38 36 34 34 32 30 25 20 18 16 15 16 17 16 14 10 7 6 5 4 4 4 4 6 9 15
9 11 16 18 22 26 28 29 30 31 32 34 35 37 38 38 39 40 42 41 39 39 41 40 40 40 39 38 38 38 38 38 38 36 35 34 33 32 30 27 25 25 26 26 26 28 30 33 34 30 30 31 32 31 30 27 24 21 17 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 1 3 7 11 17 23 26 29 33 35 37 39 42 45 46 45 43 41 38 37 38 40 42 43 44 44 42 38 35 34 31 28 24 22 19 18 19 18 18 16 13 9 7 6 5 5 5 5 5 7 13
5 6 13 18 23 26 27 27 26 27 28 29 29 32 32 33 34 34 34 33 32 32 35 37 39 40 40 39 37 36 35 35 34 32 30 29 28 27 26 25 23 23 24 24 24 25 26 29 30 29 30 31 30 30 28 25 22 18 13 11 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 5 10 15 21 25 28 34 36 37 43 48 53 56 56 54 53 50 49 47 45 43 43 45 46 48 47 43 37 34 33 32 29 26 22 18 17 18 19 17 16 13 10 8 7 6 6 5 5 7 12
5 6 9 15 21 26 28 27 26 27 27 28 29 30 29 30 29 29 30 30 29 28 29 33 36 37 38 37 35 34 34 34 33 31 29 28 27 25 23 22 22 23 24 26 26 25 24 25 26 27 29 30 30 29 26 22 19 15 9 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 13 18 24 28 32 38 38 41 50 56 58 59 58 59 58 57 57 58 57 54 52 53 54 54 52 49 45 39 35 35 33 30 24 19 17 19 20 19 18 16 14 11 8 7 6 6 6 6 11
4 6 8 10 16 22 25 26 27 28 29 30 29 29 28 27 25 24 25 25 26 25 24 28 31 33 34 34 33 32 33 32 30 29 27 26 25 23 22 21 20 20 21 24 25 24 23 23 23 24 26 28 28 27 24 19 15 10 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 16 21 27 31 38 41 41 45 52 58 60 64 64 68 68 68 67 65 65 64 63 63 63 63 60 53 51 46 41 38 35 31 27 21 17 20 21 21 20 19 16 12 8 7 6 6 6 6 9
2 4 6 8 11 14 17 19 21 24 26 26 28 29 27 26 24 22 22 21 22 22 21 24 26 28 29 29 29 30 31 32 30 28 27 25 23 20 18 16 15 15 15 18 19 21 22 23 22 22 23 23 22 21 18 14 11 7 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 15 21 27 30 35 42 44 45 49 55 60 62 70 75 77 79 81 81 78 74 73 71 68 67 68 68 61 55 50 46 43 39 35 29 24 20 20 21 22 22 20 17 14 10 8 7 7 7 7 9
0 1 2 6 9 10 11 12 15 16 17 18 20 22 22 23 24 23 22 22 22 21 19 20 22 23 23 23 24 24 25 26 25 24 21 19 17 15 13 13 12 12 12 13 15 17 19 22 22 21 20 20 18 16 13 10 8 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 16 21 27 30 33 38 45 47 49 56 62 63 65 72 76 79 82 83 84 86 85 84 81 75 69 69 70 68 61 53 47 45 44 42 37 32 27 23 20 20 21 19 18 16 11 9 7 7 7 7 9
0 0 1 4 8 10 11 11 11 12 12 13 14 16 16 16 15 15 17 18 17 19 18 17 18 20 20 20 20 20 20 20 19 18 17 14 13 12 11 10 10 10 10 11 12 13 15 18 21 22 20 19 17 14 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 14 20 24 27 30 33 36 42 48 52 54 63 68 66 68 74 77 79 79 78 78 80 83 88 89 85 77 73 72 72 71 63 53 48 47 46 44 41 35 28 23 20 20 19 18 15 12 9 8 7 8 8 8
0 0 0 2 5 8 11 11 10 11 10 11 12 12 13 12 11 11 10 11 12 16 18 17 17 17 18 18 18 18 18 18 17 17 16 15 13 10 8 7 6 6 7 7 8 10 12 13 15 17 19 18 15 13 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 19 24 29 32 35 39 43 47 51 54 57 65 70 69 70 76 80 81 79 76 74 75 79 87 91 92 86 79 73 71 74 70 61 53 49 50 49 47 41 32 25 22 21 22 21 18 14 12 10 9 10 11 11
0 0 0 1 3 6 9 11 12 12 11 10 10 10 10 9 9 9 9 10 10 10 15 16 16 17 18 18 18 18 18 18 18 17 15 12 9 7 5 3 3 3 4 4 6 7 8 10 11 12 12 12 11 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 20 27 34 39 43 46 49 52 53 54 56 58 64 67 69 72 78 83 85 82 77 74 71 77 84 89 91 88 84 80 73 73 70 65 61 57 55 53 51 45 37 29 23 23 24 25 23 18 14 12 11 12 13 12
0 0 0 0 0 2 4 6 9 9 10 9 9 8 8 8 7 6 6 8 8 9 11 14 16 17 18 19 19 19 19 19 18 15 11 8 5 3 1 1 1 1 2 3 4 5 6 7 9 10 8 8 6 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 4 13 21 27 35 41 46 50 53 57 58 57 56 56 54 59 64 68 72 78 85 88 84 79 76 78 82 86 91 91 88 87 86 81 78 74 72 71 68 65 61 58 52 46 40 29 26 25 26 27 23 18 14 13 14 14 13
0 0 0 0 0 0 1 2 4 5 6 7 8 7 6 6 6 6 6 6 7 8 10 12 14 15 16 17 16 16 16 14 12 9 6 4 3 1 0 0 0 0 0 1 2 2 2 4 5 6 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 28 33 38 44 49 54 59 62 63 60 58 56 54 57 63 68 74 80 86 90 85 81 78 80 85 91 95 95 91 91 93 88 85 80 78 79 79 76 71 65 57 52 47 39 32 26 25 27 27 22 20 18 18 15 14
0 0 0 0 0 0 0 1 2 2 3 4 5 5 5 5 5 6 6 6 6 6 8 10 11 11 11 10 9 10 10 9 7 5 4 3 1 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 25 30 36 42 49 55 62 68 71 71 69 65 64 63 64 65 69 77 84 85 90 88 84 80 79 85 93 98 98 95 98 102 91 87 85 84 84 84 83 82 74 64 58 51 45 38 29 25 26 26 25 23 21 20 18 18
0 0 0 0 0 0 0 0 1 1 1 2 2 3 4 5 5 5 6 5 4 4 5 6 7 7 7 6 6 7 7 6 5 4 3 1 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 2 8 18 26 32 38 46 54 62 69 76 80 81 79 75 72 70 68 68 72 82 83 81 88 90 87 83 81 85 94 99 99 98 100 107 100 92 89 88 89 90 88 87 80 72 64 56 49 43 36 28 22 24 25 24 23 22 20 20
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 4 3 3 4 5 6 6 6 6 6 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 21 27 33 40 49 58 69 76 82 85 86 86 84 81 79 77 75 76 81 80 82 88 91 88 86 86 89 95 101 102 103 104 108 106 100 93 90 92 92 93 90 85 78 70 61 54 49 44 38 34 30 29 28 28 27 24 23
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 2 3 3 4 4 5 5 6 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 11 21 29 36 43 51 61 72 80 85 89 94 97 98 99 97 93 89 86 86 84 87 92 91 87 86 90 95 98 105 104 105 108 110 110 105 99 94 94 93 94 93 88 80 73 68 63 56 49 43 38 34 31 32 32 31 28 26
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 4 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 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 13 22 31 38 45 54 64 75 82 87 94 102 106 110 111 109 106 102 98 95 94 95 95 91 86 85 91 98 101 108 108 107 110 115 116 108 104 102 98 93 93 95 91 84 79 75 71 66 56 48 42 36 32 32 33 32 29 27
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 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 24 34 41 48 57 67 77 83 89 98 106 110 112 113 113 113 110 107 103 101 102 100 95 89 85 91 97 104 111 113 110 109 116 122 120 113 106 103 98 95 94 93 89 84 78 76 72 65 57 48 41 35 32 32 31 30 28
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 26 36 43 51 61 70 78 84 90 99 108 113 114 115 115 117 120 119 116 114 113 111 105 97 92 95 101 108 115 119 116 110 117 124 125 119 112 108 107 103 97 95 96 93 84 80 77 72 65 56 45 40 35 33 33 32 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 27 36 43 53 64 75 81 87 93 101 109 118 124 125 131 136 142 146 145 140 136 130 120 114 108 107 111 116 122 124 123 117 117 120 126 127 119 112 111 109 105 103 99 99 94 88 83 78 73 66 51 45 40 38 37 36 34
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 18 27 36 42 51 63 75 83 90 96 104 121 143 149 160 174 182 191 196 195 186 179 169 154 143 136 133 133 135 138 134 129 126 120 116 123 126 121 116 114 113 111 110 101 99 99 97 91 84 80 74 64 54 45 40 39 38 38
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 18 26 36 41 48 59 72 82 91 98 110 147 177 197 224 251 273 276 272 269 254 243 230 210 191 179 174 172 169 163 151 140 136 128 124 126 129 127 123 122 121 122 118 109 102 101 102 100 91 84 79 74 66 54 45 42 43 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 17 22 33 39 45 54 66 77 88 99 125 175 207 240 273 301 318 331 345 337 331 325 314 293 271 255 242 228 213 197 175 160 149 141 135 133 134 134 131 134 134 135 130 121 110 102 104 105 100 94 86 80 76 66 55 48 45 45
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 15 19 28 36 43 49 58 71 84 106 157 198 231 263 294 315 324 330 337 348 369 390 400 389 367 347 323 295 269 242 210 186 168 156 148 143 141 141 141 143 142 143 142 135 122 109 106 107 106 101 93 87 83 75 64 54 47 47
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 13 18 25 33 42 48 54 67 90 135 182 217 246 274 298 315 322 327 328 331 364 397 415 424 428 419 384 358 335 301 258 220 192 176 162 156 152 151 152 151 148 146 147 141 133 122 112 109 107 103 100 97 92 84 69 60 52 48
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 16 22 29 38 47 55 79 118 162 198 228 254 280 306 321 324 332 340 333 356 381 396 410 421 423 395 400 383 350 307 260 221 200 184 175 167 161 160 160 156 150 148 144 138 131 120 114 111 108 107 105 101 93 77 65 57 53
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 15 20 26 35 46 66 102 138 172 200 228 254 279 306 330 330 342 350 348 360 380 391 397 395 402 413 406 389 367 340 306 255 225 206 194 183 170 164 164 161 155 150 147 141 137 132 125 118 112 113 109 107 100 86 73 62 54
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 17 23 31 41 58 106 140 169 195 221 247 272 298 333 339 355 358 356 368 393 407 419 401 383 371 369 367 360 344 323 279 244 219 206 194 179 167 165 165 163 156 152 147 144 142 138 128 115 114 111 108 103 94 83 71 57
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 16 21 28 40 75 112 141 165 188 212 236 263 293 321 339 357 367 365 370 399 409 403 399 390 382 374 369 362 336 303 274 246 221 209 202 187 172 163 166 172 166 159 153 150 152 151 140 124 115 111 108 104 98 93 81 67
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 14 19 32 50 83 113 136 156 178 202 227 254 286 315 340 365 377 365 361 395 418 446 453 432 406 392 386 385 357 311 272 242 223 213 205 192 175 160 163 171 171 163 155 154 159 164 150 134 122 114 109 106 102 99 92 80
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 15 40 59 79 103 125 143 166 190 216 246 279 315 344 366 377 361 366 394 405 411 443 456 422 403 404 413 402 349 293 254 232 215 202 191 176 162 162 170 174 169 160 160 164 169 160 145 132 122 112 109 106 104 100 92
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 39 55 72 94 115 129 152 178 205 235 266 302 336 359 368 366 381 401 403 412 442 463 446 417 406 419 429 393 334 282 245 219 201 187 175 166 166 172 176 174 168 171 171 170 168 159 145 132 122 116 111 110 104 97
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 34 50 65 84 105 118 138 166 195 224 254 288 322 347 359 361 374 390 402 419 446 472 468 429 405 411 431 421 371 305 264 231 209 190 178 172 173 177 176 173 177 180 178 173 170 166 155 143 134 126 119 116 110 101
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 27 46 58 73 92 110 126 153 182 209 239 273 303 328 343 353 362 374 391 412 439 471 475 444 416 411 426 437 423 370 293 251 221 200 187 180 178 180 173 174 183 190 188 180 173 164 159 155 150 141 130 121 112 104
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 18 37 52 66 85 103 118 141 167 193 219 247 274 302 321 339 351 362 377 395 406 432 469 460 433 414 416 439 451 406 331 272 234 211 196 187 186 183 173 172 188 202 200 189 179 171 168 170 169 159 144 129 115 102
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 28 46 58 75 92 109 128 151 175 197 220 249 271 293 315 333 349 368 387 411 441 461 460 438 412 409 438 451 421 363 294 243 219 203 194 192 187 175 173 191 211 211 199 187 181 178 180 180 172 158 143 130 116
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 38 48 61 80 98 115 133 155 175 195 221 244 267 290 312 335 359 379 402 426 446 456 445 417 421 442 453 433 390 320 254 226 208 198 192 185 177 181 199 218 222 214 200 192 190 189 184 174 166 156 141 125
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 33 49 68 86 101 114 135 153 175 198 221 244 268 294 322 346 367 388 410 435 455 454 424 416 428 442 434 401 340 268 229 212 198 188 179 179 190 207 223 229 228 218 209 203 198 191 177 170 162 149 133
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 34 52 70 85 99 114 132 155 177 198 220 247 273 303 328 349 367 389 415 438 446 422 401 411 431 432 399 337 264 230 215 199 185 178 182 196 211 222 230 234 232 224 213 200 197 184 174 166 157 144
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 18 32 49 63 80 98 118 138 159 181 203 228 253 280 307 328 345 363 386 412 429 408 386 394 416 421 394 328 253 228 215 202 186 176 178 195 213 224 231 236 238 236 230 206 197 185 175 168 163 155
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 24 37 58 81 102 122 143 163 185 209 233 256 277 296 316 336 359 389 411 395 379 383 399 402 377 304 246 223 214 204 188 174 177 201 220 232 239 241 242 244 244 226 205 187 175 170 165 160
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 19 42 67 89 109 126 144 167 186 210 233 253 272 289 309 338 366 385 381 370 371 381 385 352 279 236 216 210 206 190 179 190 212 232 246 254 254 252 254 252 241 219 194 179 173 170 164
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 24 45 64 88 108 128 148 166 188 211 230 246 264 282 315 342 358 360 355 355 366 363 330 276 234 215 208 211 204 202 215 233 249 263 273 272 267 265 261 252 231 204 187 182 180 169
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 26 44 71 91 110 127 144 163 185 205 223 245 262 289 316 333 341 346 353 360 356 326 276 240 239 235 234 236 242 247 252 262 276 286 283 277 272 267 258 238 214 195 191 190 178
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 15 27 51 69 84 100 117 135 157 178 198 220 245 273 302 328 337 350 366 376 373 354 320 294 313 309 297 289 286 281 273 272 279 288 286 279 273 269 261 246 222 201 197 194 186
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 23 38 54 69 85 107 131 152 174 199 229 261 295 327 342 359 377 395 401 397 390 382 390 386 376 355 331 311 293 278 277 290 292 283 274 268 263 252 227 206 197 194 191
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 19 26 34 43 56 88 112 132 154 181 212 245 275 308 335 358 385 415 429 427 426 422 419 423 425 405 362 326 301 286 286 300 302 290 273 260 259 253 233 212 196 190 192
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 18 25 34 48 82 102 119 139 164 192 220 244 277 310 335 360 389 409 417 423 423 429 432 416 381 345 328 307 298 301 308 310 299 270 249 249 249 237 217 197 185 188
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 19 27 46 74 91 108 128 147 168 189 208 241 274 299 321 344 366 384 397 404 414 410 379 346 328 316 304 302 304 306 303 294 261 243 242 245 240 223 200 186 187
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 23 37 66 87 101 116 127 141 159 176 205 235 258 277 295 316 337 355 364 362 340 309 304 302 295 291 291 289 282 276 268 249 235 232 236 237 222 204 194 191
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 22 30 54 78 92 99 102 111 128 147 171 194 212 228 249 269 288 305 315 306 277 258 262 267 271 275 277 274 261 251 240 228 218 215 218 224 219 207 197 190
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 26 39 57 70 74 77 88 100 114 130 143 152 177 201 220 240 259 272 270 233 232 235 239 247 255 261 263 251 237 224 213 205 200 200 206 209 205 197 190
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 20 25 30 30 42 49 61 68 73 79 76 92 123 153 179 203 223 239 246 224 218 219 223 228 234 239 242 236 227 217 207 199 192 188 189 193 195 193 188
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 20 23 24 27 30 33 37 41 34 60 87 114 146 178 197 210 211 200 200 206 209 213 214 217 217 217 213 206 201 196 189 184 183 186 189 187 183
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 13 12 12 13 15 20 24 26 35 47 67 100 141 161 174 172 169 178 190 193 197 197 199 199 200 199 196 195 194 190 189 188 185 184 183 181
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 2 3 9 16 23 32 40 48 64 95 115 129 133 140 153 165 173 178 182 186 188 191 192 191 192 192 191 193 195 192 184 180 178
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 28 36 44 56 71 85 102 113 121 134 145 154 160 166 172 179 186 191 192 192 192 192 195 201 205 194 185 179
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 18 25 34 45 59 75 89 100 110 120 129 136 144 152 160 169 180 189 191 193 192 192 193 200 211 201 189 182
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 21 34 47 62 76 87 100 110 112 120 130 139 148 160 172 182 189 191 191 188 187 195 200 196 192 186
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 13 24 38 53 67 79 90 101 106 111 117 124 131 146 158 169 176 181 183 181 180 186 189 187 183 178
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 7 12 18 30 44 59 69 79 86 91 95 100 103 109 119 131 142 153 163 167 168 170 174 178 178 173 166
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 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 2 5 11 23 33 47 54 59 62 65 69 76 78 85 93 104 114 124 135 143 149 152 155 159 164 168 166
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 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 2 7 13 20 22 21 23 30 37 42 49 57 66 75 84 93 105 117 125 134 142 148 156 166 173 176
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 7 6 5 4 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 1 1 0 0 0 0 0 1 6 5 3 2 4 20 31 41 51 61 69 76 84 99 111 121 132 143 153 162 171 181 187
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 3 3 3 4 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 0 1 1 2 2 1 2 12 30 43 53 62 69 76 82 91 105 115 125 136 148 158 164 173 181 187
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 7 11 16 18 17 14 10 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 5 13 17 12 5 2 0 0 1 1 4 24 47 56 63 70 76 83 89 92 100 110 119 127 136 143 152 158 163 169 176
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 15 16 18 21 21 19 15 14 13 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 21 16 8 4 1 0 0 1 2 23 54 70 79 87 93 96 97 98 105 110 114 122 129 131 138 145 150 154 159
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 15 18 20 21 18 17 15 13 15 19 17 12 7 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 4 10 12 10 9 8 7 4 4 10 34 55 76 86 85 86 93 92 89 88 91 96 102 107 114 117 122 127 133 140 145
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 11 18 24 22 22 20 18 19 22 21 16 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 14 16 17 16 16 27 53 82 92 81 57 48 75 76 72 71 71 75 82 88 94 100 105 111 118 127 135
0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 4 11 23 33 36 35 32 29 26 22 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 19 21 23 25 29 28 33 38 28 19 14 31 38 45 52 53 56 64 70 75 80 85 97 104 116 126
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 1 4 15 34 44 46 44 40 34 27 19 10 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 0 0 0 0 0 0 0 0 1 3 6 9 12 16 18 19 20 21 22 22 20 17 11 9 13 25 40 40 44 50 57 63 68 76 87 96 109 121
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 7 21 34 41 43 42 40 31 20 11 4 1 3 7 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 1 1 1 0 1 2 3 5 7 9 8 7 8 10 11 12 12 11 8 5 11 33 34 40 47 54 60 66 76 86 97 109 120
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 19 23 24 26 22 17 12 6 2 7 9 7 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 2 2 2 1 1 0 1 1 2 2 1 1 2 3 2 5 7 12 16 7 4 23 37 47 55 63 68 77 87 94 102 112 123
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 8 8 7 8 7 6 6 7 4 7 9 10 10 7 2 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 21 41 52 41 52 59 62 66 72 78 81 89 96 104 112 121 131
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 2 1 1 1 1 1 1 3 7 13 17 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 3 13 27 42 53 57 65 71 74 76 78 82 85 92 98 107 118 127 136
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 1 2 9 18 19 16 10 5 1 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 1 3 7 16 29 41 52 61 68 73 77 81 85 91 98 107 117 128 141
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 2 8 13 15 14 9 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 4 8 15 26 42 58 71 78 84 90 95 104 115 122 133 147
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 10 9 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 1 5 15 33 56 73 84 91 98 104 115 124 133 145 159