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 9 9 9 9 10 11 12 12 12 13 13 13 13 13 13 14 14 14 15 16 17 19 21 23 22 21 19 17 14 11 10 11 13 14 14 13 11 9 9 9 9 8 7 5 4 5 7 9 10 13 14 15 16 17 17 17 16 14 12 11 10 10 9 9 9 9 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 11 12 13 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 8 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 7 8 9 9 9 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 13 15 16 16 15 14 13 12 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 13 13 14 15 16 17 19 20 21 20 20 19 18 17 14 12 11 11 11 11 10 8 8 8 9 8 7 5 3 3 4 6 7 8 10 11 11 12 14 15 16 15 14 14 13 12 12 11 11 10 9 8 8 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 12 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 8 10 11 13 13 14 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 12 13 12 12 14 16 17 17 16 14 13 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 nan
nan 12 12 11 11 11 12 12 13 13 13 13 13 12 12 11 12 12 13 14 15 17 19 20 22 22 23 23 23 21 18 13 11 9 8 7 6 5 6 7 8 7 5 4 3 3 4 6 7 7 7 8 8 9 11 13 14 14 13 13 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 5 5 5 6 5 5 5 5 6 6 7 8 10 12 13 15 15 15 14 13 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 10 11 12 15 17 17 18 19 20 18 16 14 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 13 13 13 13 14 14 14 15 15 15 15 14 13 13 12 12 11 11 11 12 14 16 18 21 24 27 29 30 28 24 17 13 11 9 7 5 4 5 6 7 6 4 3 3 4 6 7 6 5 5 6 6 7 9 10 11 11 11 10 11 11 12 13 13 13 12 11 10 9 8 7 7 8 8 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 5 5 4 5 5 5 6 6 7 7 8 9 10 11 13 14 14 13 12 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 14 16 18 21 22 22 20 17 14 12 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 13 13 14 14 14 15 15 15 15 16 16 15 15 14 12 10 8 8 8 9 11 12 14 16 20 24 28 31 31 28 24 21 19 17 13 7 3 4 6 7 7 7 6 6 6 7 6 5 4 4 5 5 6 7 8 8 8 8 8 9 10 12 12 13 13 13 13 11 10 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 9 9 9 10 10 10 9 9 9 9 8 8 8 7 7 6 5 5 4 4 4 5 5 6 7 8 9 9 10 11 11 12 13 13 13 12 11 10 10 10 11 12 12 11 11 11 11 12 12 12 12 13 14 14 14 14 14 15 16 17 17 17 16 14 11 10 9 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 10 10 10 11 nan
nan 10 11 11 12 12 13 14 15 15 16 17 17 15 13 9 5 3 3 5 7 9 9 11 13 15 18 21 23 25 26 28 30 30 27 21 11 5 5 8 10 12 13 13 12 10 8 6 5 4 4 5 6 7 8 8 7 7 6 6 7 8 10 11 12 13 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 7 6 5 4 4 4 4 5 5 6 7 8 9 10 10 11 11 11 11 12 12 12 11 10 9 10 10 11 12 13 13 13 13 13 14 14 15 16 16 16 15 14 14 14 14 13 12 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 nan
nan 7 7 8 9 10 11 13 15 16 16 17 16 13 9 5 1 -0 1 4 6 8 9 10 12 13 14 14 14 17 20 25 30 34 32 25 16 10 10 13 16 19 21 20 18 15 11 8 6 6 6 7 7 8 8 8 7 7 6 6 6 7 8 10 11 12 14 15 15 15 14 14 13 13 12 12 11 9 9 9 9 10 10 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 6 5 3 3 4 5 6 7 8 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 9 11 13 14 15 16 16 16 15 16 17 17 17 17 15 13 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 10 10 10 11 10 nan
nan 6 6 6 7 8 10 12 14 14 14 14 12 9 5 3 2 3 4 6 8 9 10 11 11 12 12 10 11 13 17 21 26 30 29 25 20 17 17 19 21 23 24 23 21 18 15 12 10 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 10 11 13 16 18 18 18 17 16 15 14 13 12 10 9 9 10 10 11 10 10 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 9 8 8 7 5 4 3 3 4 6 7 8 9 9 9 9 9 10 10 11 11 10 10 9 9 8 9 10 12 13 15 17 18 19 18 18 17 17 17 16 15 13 11 9 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 nan
nan 7 6 6 7 8 10 11 12 11 10 9 8 7 6 7 8 10 10 11 12 12 12 12 13 13 12 10 11 13 16 19 22 24 24 22 20 20 20 20 21 20 20 19 19 18 17 15 12 10 8 7 7 6 6 6 6 6 6 6 6 6 6 7 8 9 11 14 17 18 18 17 16 16 15 13 12 10 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 8 7 6 4 3 3 4 6 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 12 14 16 18 19 19 19 18 18 18 17 16 14 12 9 8 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 nan
nan 7 6 6 8 9 9 10 10 10 9 7 6 7 9 12 14 15 15 15 16 15 15 16 15 15 12 9 9 11 14 16 18 19 18 16 16 16 17 17 16 15 14 15 16 17 16 15 13 10 9 7 6 5 5 5 5 6 6 6 6 6 6 6 7 8 9 11 14 16 17 17 17 16 14 13 11 10 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 8 7 6 5 4 4 4 6 7 8 9 9 8 9 9 9 9 9 9 8 8 9 10 12 14 16 17 18 19 19 18 17 16 16 15 14 13 10 8 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 5 5 6 7 9 9 10 11 13 11 9 8 8 11 13 15 16 16 17 17 18 19 19 17 13 8 5 5 7 10 13 15 15 14 12 11 11 12 12 12 11 11 12 13 15 15 15 13 11 9 7 6 5 5 5 5 5 6 6 7 7 7 8 8 8 9 11 12 14 15 16 16 15 13 12 11 10 9 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 8 8 8 9 11 14 17 19 20 20 19 17 15 13 12 12 12 11 10 7 4 3 4 6 8 9 10 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 4 4 5 6 7 9 10 12 14 13 11 9 8 8 9 10 11 13 15 17 19 20 20 17 10 3 1 1 5 8 11 12 14 13 12 11 10 11 11 10 10 11 12 13 14 15 14 13 11 9 7 6 6 6 5 5 5 5 5 6 7 7 8 9 10 11 11 12 13 14 14 14 13 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 9 8 8 10 12 15 19 20 21 19 17 14 12 10 9 9 9 9 9 7 6 5 5 7 9 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 nan
nan 4 4 5 5 7 8 9 11 11 10 9 8 6 4 2 3 6 9 11 13 15 18 19 17 8 0 -2 -1 2 7 9 10 12 14 15 15 15 13 12 10 10 11 12 14 15 15 14 12 9 8 7 7 6 6 5 4 3 3 3 4 4 5 7 8 10 10 11 11 12 13 13 13 12 11 11 11 11 12 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 4 4 5 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 12 14 16 18 19 17 15 13 11 9 8 8 8 8 8 9 8 8 8 9 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 nan
nan 7 6 6 7 8 9 9 8 6 6 6 6 3 -0 -3 -1 4 7 9 10 11 13 16 16 10 2 -2 -2 -0 3 6 7 9 12 15 18 18 17 13 10 10 10 12 13 15 15 14 12 9 7 6 6 5 4 2 1 1 1 1 1 2 3 5 7 9 9 10 10 11 12 12 13 13 12 12 13 13 14 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 8 9 10 12 14 17 19 20 19 15 11 8 7 6 7 8 8 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 10 10 9 9 9 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 10 9 9 9 9 9 8 6 5 5 6 5 2 -2 -3 -0 4 6 8 8 8 10 13 14 12 6 1 -1 -2 -1 2 4 7 10 13 16 18 17 14 11 10 10 10 12 13 15 14 12 10 8 5 4 2 -0 -3 -4 -4 -5 -4 -4 -2 1 4 7 9 10 10 10 11 11 12 13 13 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 7 6 5 4 4 4 4 4 4 5 6 6 7 7 7 7 8 8 8 8 10 12 15 18 21 22 20 17 12 7 5 5 6 7 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 nan
nan 11 12 12 11 11 10 8 6 7 8 9 6 1 -2 1 4 7 8 8 8 8 9 11 12 12 9 5 1 -2 -2 0 3 6 8 11 14 16 17 15 12 10 9 9 9 11 13 14 13 11 9 6 2 -2 -6 -10 -12 -12 -11 -10 -8 -5 -1 3 6 9 10 10 10 10 11 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 6 6 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 11 14 18 22 24 23 19 14 10 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 10 9 9 9 nan
nan 13 13 13 13 13 11 9 9 11 12 11 6 1 1 5 8 9 8 8 8 8 9 10 11 12 12 9 3 -2 -3 -1 3 6 9 11 13 16 17 15 13 10 7 6 6 7 9 11 12 12 11 8 3 -4 -10 -16 -19 -19 -15 -11 -6 -4 -1 2 6 8 10 10 11 11 11 12 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 8 7 7 6 6 6 5 6 6 6 5 5 5 6 7 7 8 8 8 8 8 8 8 9 10 13 16 18 21 21 19 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 10 10 nan
nan 13 12 11 12 12 12 12 14 15 15 12 6 3 6 8 9 9 8 7 7 8 9 11 13 14 14 11 3 -3 -4 -2 2 5 8 11 14 17 17 15 13 10 6 4 4 5 7 9 11 12 13 12 7 0 -7 -13 -17 -17 -13 -7 -2 0 1 3 5 8 10 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 8 9 10 12 14 16 16 16 14 12 11 11 11 12 12 12 11 11 11 10 10 10 9 9 10 10 11 11 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 10 10 10 nan
nan 12 10 8 8 10 11 13 16 17 16 12 8 7 9 9 8 7 6 6 7 8 10 12 14 16 15 12 2 -5 -6 -4 -1 2 6 10 14 16 17 15 13 10 7 5 5 5 6 7 9 10 13 15 15 11 6 1 -5 -8 -6 -2 1 2 2 3 5 8 10 12 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 13 12 12 11 11 11 11 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 7 7 7 8 10 12 15 17 19 19 17 14 10 7 7 9 11 12 12 12 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 nan
nan 12 10 8 8 8 10 12 15 17 15 11 8 8 9 8 7 6 5 6 7 9 10 12 14 17 17 14 4 -5 -7 -6 -3 -0 3 7 12 15 15 15 13 10 8 7 7 7 7 8 8 10 13 18 22 23 21 17 10 4 3 4 5 5 4 4 6 8 10 12 12 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 12 12 11 11 11 10 10 10 9 9 8 7 7 7 7 8 8 7 7 7 6 6 6 6 8 9 9 8 8 7 7 8 9 12 15 18 21 22 23 21 18 14 11 9 9 10 11 12 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 nan
nan 12 11 10 8 7 8 11 14 15 13 8 6 6 7 8 7 7 6 6 7 9 11 12 14 17 18 16 9 -0 -5 -5 -3 -0 3 7 10 13 14 14 13 11 9 9 8 8 8 9 10 12 15 20 26 29 28 25 18 12 8 8 7 7 6 7 8 9 10 11 12 12 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 12 12 12 11 11 10 10 9 7 6 6 6 7 7 7 8 8 8 7 6 6 6 7 8 9 8 8 7 7 8 10 13 17 20 23 24 25 23 20 17 14 12 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 9 10 11 11 11 10 10 10 10 10 11 11 nan
nan 11 11 10 8 8 8 10 12 12 8 5 3 4 5 7 8 7 7 6 7 9 11 12 14 17 20 19 14 6 0 -2 -2 1 5 9 11 13 14 14 13 12 10 9 9 9 10 10 11 13 17 21 25 27 26 23 18 13 11 10 9 8 8 8 10 11 12 12 12 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 11 10 9 8 6 6 5 5 6 6 7 7 8 8 7 7 7 7 8 9 9 8 7 7 8 10 14 18 22 24 24 24 22 19 15 13 12 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 11 11 10 9 8 8 9 11 11 10 9 9 10 10 10 11 11 nan
nan 10 10 10 10 10 10 10 10 7 3 1 1 3 5 7 8 8 8 7 8 9 11 12 14 18 21 20 17 10 5 1 1 4 8 11 13 14 15 15 14 13 12 11 11 11 11 11 12 13 15 17 20 22 22 20 17 15 13 13 11 10 9 10 11 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 10 9 7 6 5 5 5 5 5 6 7 7 7 7 7 7 8 8 9 9 9 8 8 9 11 15 19 22 24 23 21 18 14 12 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 10 10 10 10 11 12 11 11 10 9 10 10 10 9 9 10 11 11 10 10 10 nan
nan 11 10 10 10 11 11 9 5 1 -2 -3 -1 2 5 7 9 9 9 10 10 10 10 10 12 17 21 20 16 10 5 1 3 6 10 13 15 16 17 16 15 13 12 12 12 12 12 12 13 13 13 12 13 14 16 17 17 16 16 14 13 12 11 11 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 8 7 7 6 5 5 5 5 6 6 7 7 7 7 8 8 8 9 9 9 8 9 10 12 16 20 22 22 20 17 13 10 9 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 10 9 9 10 10 11 10 9 9 nan
nan 12 10 10 11 11 11 8 3 -3 -5 -4 -2 2 5 8 9 10 12 13 13 12 11 10 12 17 20 18 13 7 0 -2 1 7 12 15 17 18 17 16 14 13 12 12 12 13 14 14 15 15 14 12 11 10 13 15 16 16 16 14 13 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 9 9 9 9 11 13 17 21 22 20 17 13 9 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 11 11 10 10 9 9 10 10 10 9 8 8 nan
nan 12 12 13 13 13 12 10 4 -1 -3 -3 -1 2 6 9 11 12 14 16 18 18 17 16 16 18 18 15 9 2 -3 -4 1 8 13 17 18 18 16 15 13 11 11 12 13 14 15 15 16 16 16 15 14 12 12 13 14 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 8 7 7 7 6 6 6 6 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 10 11 12 14 17 19 20 18 15 12 8 7 7 8 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 10 10 10 11 11 12 11 11 11 11 12 11 11 10 10 9 9 9 9 9 9 8 8 nan
nan 13 14 15 16 16 14 11 5 1 -1 -1 1 4 7 10 11 12 14 18 21 23 24 22 20 18 15 11 7 2 -1 0 4 10 15 18 18 17 15 13 12 11 11 12 13 14 15 14 14 14 14 14 14 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 7 6 6 5 5 6 7 8 9 9 10 10 11 11 12 13 15 17 18 19 17 15 12 11 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 12 11 10 9 9 9 9 9 10 10 10 11 11 12 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 nan
nan 14 15 15 15 15 13 10 4 0 -1 -0 1 4 8 11 11 10 12 16 20 23 24 21 17 13 11 9 8 7 7 8 10 14 17 19 18 16 14 13 12 12 12 13 13 13 13 12 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 6 6 6 5 6 7 9 10 11 12 12 13 13 14 15 16 17 18 19 19 17 13 10 9 9 10 11 10 9 8 8 10 11 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 12 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 8 8 8 9 nan
nan 13 13 13 12 12 11 8 3 -1 -2 -1 1 5 10 12 11 9 9 12 16 19 19 16 12 9 7 7 10 12 14 14 15 17 18 19 17 14 12 12 12 12 13 13 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 6 5 5 5 6 6 7 8 8 8 8 8 7 7 8 9 12 14 16 17 17 17 18 18 18 18 18 18 17 17 14 11 8 7 8 10 11 11 9 8 8 9 11 13 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 8 9 9 10 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 7 8 9 nan
nan 11 13 13 13 12 10 7 2 -2 -3 -1 3 6 10 12 11 10 9 9 12 14 14 12 9 6 5 7 11 16 18 18 18 18 19 18 15 12 11 11 11 13 14 14 13 11 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 7 7 8 9 10 11 11 11 11 12 14 16 18 19 20 21 20 20 20 20 20 19 18 17 15 13 9 7 6 6 9 12 12 10 9 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 8 8 8 7 7 8 9 nan
nan 11 13 15 15 13 9 4 -1 -3 -3 1 4 6 8 9 10 10 10 10 11 12 11 10 8 6 6 8 13 17 19 20 19 19 19 18 15 12 11 10 11 13 14 14 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 9 9 9 10 11 12 13 14 15 15 16 17 19 20 21 21 20 20 19 19 19 19 18 17 16 15 13 11 8 7 7 9 12 13 12 10 7 6 5 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 nan
nan 11 14 16 17 14 8 1 -4 -5 -4 0 4 6 7 7 9 10 11 12 13 12 11 9 8 7 8 10 14 18 20 21 21 20 19 16 14 12 10 10 11 13 13 13 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 16 16 16 17 16 17 18 19 19 19 18 17 17 16 17 16 16 15 15 14 12 11 9 8 8 9 11 13 12 9 6 3 2 2 4 5 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 8 8 8 7 8 8 9 9 9 9 nan
nan 10 13 19 23 21 14 5 -2 -4 -4 0 5 8 9 9 9 11 14 16 16 14 12 11 10 10 11 13 16 19 21 22 22 20 17 14 12 11 11 11 12 12 12 11 11 10 10 9 9 9 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 10 10 11 13 14 15 16 17 17 16 16 15 15 15 15 15 14 13 12 12 12 12 12 12 11 10 9 7 6 6 6 7 9 9 9 6 4 2 -0 1 3 6 8 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 9 10 11 11 11 10 9 9 9 8 8 8 7 8 9 9 9 9 9 nan
nan 10 12 18 26 27 22 16 9 4 3 4 8 10 11 11 11 13 16 18 18 15 12 11 11 11 13 15 18 20 22 23 22 20 15 13 12 11 12 12 12 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 8 8 9 9 9 9 9 9 10 11 12 13 14 14 14 13 12 11 11 11 10 9 8 7 6 6 7 7 7 7 7 6 5 3 2 2 3 4 5 5 4 2 0 0 1 4 7 10 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 8 9 9 10 10 10 10 9 10 10 9 8 8 7 8 9 10 9 8 8 8 nan
nan 11 12 16 21 24 23 22 19 16 14 13 13 11 10 10 10 13 16 18 17 15 12 11 10 11 14 17 19 21 23 24 23 20 16 13 12 12 13 13 12 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 7 7 8 8 9 10 10 10 9 8 8 7 7 6 6 5 4 3 3 3 4 5 5 5 4 3 2 1 0 -0 0 2 2 2 2 1 2 3 6 9 11 13 15 17 16 15 14 13 12 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 10 10 9 8 8 8 nan
nan 15 17 18 19 20 21 21 22 22 22 21 17 12 9 7 8 10 14 15 15 13 11 10 10 11 14 17 19 22 23 24 22 19 16 15 14 14 14 13 13 12 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 5 5 4 4 3 1 1 3 3 4 5 4 4 3 2 1 1 1 1 1 2 3 3 4 5 6 9 11 13 14 15 17 18 18 17 15 14 13 12 11 10 10 9 9 9 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 8 7 7 8 9 10 10 9 8 8 9 nan
nan 21 23 21 18 17 17 18 20 21 21 20 18 14 11 9 9 11 12 13 12 11 10 9 10 11 14 17 20 22 23 23 20 17 15 15 15 15 14 14 13 12 12 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 11 13 14 14 15 15 16 17 17 16 15 14 13 11 11 10 10 10 10 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 nan
nan 22 22 17 13 11 11 12 14 15 15 14 14 14 15 15 15 14 12 11 10 9 9 9 10 12 14 17 21 23 24 22 18 15 14 14 15 15 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 5 5 5 5 6 5 5 5 5 5 6 6 7 7 7 8 9 10 11 12 12 13 14 14 14 14 14 14 14 15 15 14 14 13 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 9 9 9 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 nan
nan 16 13 9 7 7 7 8 8 9 9 10 11 13 16 17 16 15 12 10 9 8 8 9 10 12 14 17 20 22 22 20 17 15 14 14 14 13 12 12 12 13 12 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 7 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 11 12 13 14 14 14 14 14 14 13 13 12 12 12 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 9 8 8 8 9 9 10 nan
nan 8 7 6 6 7 7 8 7 7 8 10 12 13 15 15 13 12 11 9 8 7 8 9 10 12 15 17 19 21 21 19 17 15 14 13 13 12 12 12 13 13 13 12 11 11 11 10 10 9 9 9 9 9 9 9 8 8 7 6 5 5 5 6 6 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 8 9 11 12 14 15 16 16 16 15 14 14 13 12 11 11 11 11 12 12 13 13 13 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 7 7 8 10 13 13 13 12 11 10 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 nan
nan 7 7 7 8 8 8 9 9 10 11 12 14 14 13 12 10 9 8 7 7 7 7 9 10 12 15 17 19 21 20 18 16 14 13 13 12 12 12 13 13 13 13 12 11 11 10 10 9 8 7 7 7 8 8 8 7 6 6 6 6 6 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 9 10 11 13 14 15 16 16 16 15 14 14 13 12 11 11 10 11 11 12 12 13 13 13 12 11 11 11 11 12 12 11 11 10 10 9 9 8 8 8 8 9 10 10 11 10 10 10 9 9 8 8 9 12 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 nan
nan 10 9 9 8 8 8 11 13 15 16 16 15 13 11 9 8 7 6 6 6 6 7 9 11 13 15 17 19 20 18 16 15 13 12 11 12 12 12 13 13 13 13 12 10 10 9 8 7 6 6 6 7 8 8 7 7 7 8 8 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 9 10 11 12 13 14 15 16 16 16 15 14 13 12 12 12 12 11 11 10 11 11 12 13 14 14 14 13 12 11 10 10 11 11 12 11 11 11 10 10 9 8 7 7 7 8 9 10 10 10 11 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 nan
nan 13 11 7 5 6 8 13 18 20 19 17 12 9 7 6 6 6 6 6 6 6 7 9 10 13 16 18 19 18 16 14 12 11 10 11 11 11 11 12 12 12 12 11 10 9 8 7 7 6 7 7 7 8 8 8 8 8 7 7 6 5 5 5 5 6 7 7 8 8 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 12 14 16 17 17 17 17 16 15 14 13 12 11 10 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 10 9 9 9 8 9 9 9 9 9 9 10 11 12 13 12 12 11 10 10 10 10 10 11 12 13 13 13 11 10 9 8 8 7 7 8 10 11 12 12 12 12 12 12 11 10 9 9 9 9 9 nan
nan 15 10 6 4 5 9 14 18 19 16 12 7 2 2 3 4 6 6 6 6 6 7 9 11 13 16 18 18 16 14 12 11 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 8 7 7 7 8 8 8 7 6 5 4 4 5 6 6 6 7 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 8 9 11 14 16 17 18 18 17 16 15 14 13 12 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 9 9 9 9 10 11 12 12 12 11 10 9 8 8 9 10 11 13 15 16 15 14 12 10 8 7 7 8 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 nan
nan 12 9 7 6 8 10 12 13 12 9 5 1 -1 1 3 5 6 6 6 7 7 8 9 11 13 16 18 18 16 14 12 10 9 9 9 9 9 9 9 10 10 11 10 10 10 9 9 9 8 8 7 7 8 8 7 6 5 5 5 6 7 7 7 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 11 14 17 18 17 16 15 14 13 12 11 11 10 9 9 9 9 9 10 10 10 11 12 13 13 14 14 14 14 13 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 9 9 8 8 9 9 10 11 11 11 10 8 7 7 7 8 9 11 13 16 18 19 18 14 11 10 9 9 9 8 7 7 7 7 8 9 8 8 8 8 8 9 10 nan
nan 8 7 7 8 9 10 10 10 8 4 2 1 1 3 5 7 7 7 7 8 8 9 10 11 14 17 19 18 17 15 12 10 8 9 9 10 10 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 11 12 14 16 17 16 15 13 12 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 13 13 14 14 14 14 13 13 12 12 12 11 10 10 10 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 10 11 11 12 11 9 7 6 6 6 6 7 9 12 15 17 19 18 16 15 13 11 9 7 4 2 3 4 5 5 6 6 6 7 7 8 8 nan
nan 6 7 8 9 10 11 11 10 9 6 4 4 5 6 8 8 9 8 8 9 9 10 12 14 17 20 21 20 19 17 14 10 9 9 10 10 11 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 12 13 15 16 16 16 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 14 14 14 13 13 13 13 13 12 12 11 11 10 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 10 8 7 6 5 5 5 6 6 7 9 12 15 16 17 16 13 10 7 4 2 1 2 3 4 5 5 6 7 7 8 8 nan
nan 6 8 9 10 10 12 12 12 11 10 8 8 8 9 9 9 9 10 10 11 12 13 16 19 22 24 24 23 21 19 16 12 10 10 11 11 12 12 11 10 9 9 9 9 9 8 8 8 7 6 6 6 7 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 13 14 15 17 17 17 16 14 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 14 13 12 11 10 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 11 11 12 12 12 12 11 11 10 9 7 6 6 5 4 3 3 4 6 9 12 14 14 12 9 7 5 4 3 3 4 5 6 6 7 8 9 9 9 nan
nan 9 9 9 9 10 11 12 12 12 11 10 9 9 9 9 10 10 11 12 14 16 18 21 24 26 26 25 24 22 20 17 14 12 11 12 12 12 12 11 9 9 9 9 9 9 8 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 12 13 15 16 17 17 17 16 15 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 12 11 10 10 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 11 11 11 9 8 7 6 5 4 3 3 4 5 7 9 9 9 8 7 6 5 5 5 5 6 7 7 8 9 10 10 10 nan
nan 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 10 11 13 14 16 19 22 24 26 25 24 23 22 21 19 17 14 13 12 12 12 11 11 10 9 8 8 8 9 9 8 8 8 7 7 7 8 9 10 10 9 9 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 10 10 11 11 12 12 12 13 13 13 14 15 16 17 17 17 16 15 14 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 11 12 13 14 14 12 11 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 7 6 5 4 4 4 4 5 6 6 7 7 7 7 6 6 6 7 7 7 8 8 9 10 10 11 nan
nan 9 8 7 7 8 8 9 9 9 9 9 9 9 9 10 11 13 14 16 17 19 21 22 23 22 21 21 20 19 17 16 14 13 13 12 12 11 10 9 8 8 8 9 9 9 8 8 8 8 7 8 8 9 9 10 9 9 8 8 9 9 9 9 9 10 11 10 10 9 9 8 9 10 10 11 12 13 14 14 15 15 15 15 16 16 16 16 16 16 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 11 11 10 10 11 12 12 12 12 11 10 10 11 11 12 12 12 12 11 11 11 12 12 12 11 10 10 10 10 11 11 11 12 12 12 13 13 12 12 11 10 8 7 6 5 4 4 4 5 5 7 8 8 8 7 8 8 8 8 8 8 8 9 9 10 10 nan
nan 9 8 8 9 9 9 9 9 10 10 11 11 11 12 13 14 15 15 16 17 17 18 20 20 20 20 19 19 18 16 16 15 14 14 13 12 11 10 9 8 8 8 9 9 9 9 10 9 9 8 9 9 9 10 10 10 10 10 9 10 10 9 9 9 11 11 11 10 10 9 9 10 11 12 13 14 15 16 17 17 16 16 16 16 16 16 15 15 15 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 11 11 11 10 9 9 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 7 6 6 6 7 8 8 9 9 10 10 11 10 10 9 9 9 9 9 9 10 nan
nan 9 10 11 11 11 11 12 12 13 14 14 15 16 16 16 15 15 15 15 15 16 17 19 20 21 20 19 18 16 16 15 15 14 13 12 11 10 9 8 8 7 8 9 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 10 9 10 11 11 11 11 11 11 11 12 12 14 14 15 16 16 16 16 15 15 14 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 10 9 8 8 7 7 7 8 9 11 13 14 14 13 12 11 10 10 10 11 12 nan
nan 11 13 14 15 16 16 16 16 17 18 19 20 19 18 15 14 13 13 13 14 15 17 19 19 19 18 17 15 14 14 14 13 12 11 11 10 10 9 9 8 9 10 11 11 11 11 11 10 10 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 14 14 15 15 15 15 14 14 13 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 9 9 8 8 8 9 9 10 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 13 12 11 9 8 6 6 6 8 11 13 15 15 15 15 14 13 13 13 14 15 nan
nan 13 16 19 20 21 20 19 18 18 19 20 20 19 16 13 12 11 12 12 13 14 16 17 17 17 15 14 13 12 12 12 11 10 10 10 10 10 10 10 10 11 12 13 12 12 11 11 9 9 9 9 10 10 9 8 8 9 10 10 10 10 10 10 11 11 11 11 12 13 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 13 13 13 12 12 11 11 10 10 9 9 8 9 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 12 13 14 15 14 13 12 10 9 7 6 6 7 9 12 14 15 16 17 18 17 17 16 16 16 nan
nan 15 19 22 24 25 24 21 18 16 16 16 16 16 16 15 14 13 13 13 13 14 15 15 15 15 14 13 12 11 10 10 9 9 9 10 11 11 12 12 13 13 14 13 13 12 11 10 9 9 9 10 11 10 9 9 9 9 10 11 11 10 11 12 12 12 12 12 13 14 14 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 9 9 10 12 13 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 14 15 16 16 15 14 12 10 9 9 9 9 10 12 13 15 16 17 19 19 19 18 16 14 nan
nan 17 20 24 27 28 27 22 17 15 13 14 14 15 16 16 16 16 15 14 14 14 14 14 14 14 14 12 11 10 9 8 7 7 8 10 12 13 13 13 14 14 14 13 13 12 11 10 10 10 11 11 11 11 10 10 9 10 10 11 12 12 12 13 12 12 12 12 13 13 13 13 13 13 13 12 11 11 10 10 10 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 9 10 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 14 15 16 17 17 16 15 13 12 12 12 12 13 13 14 14 14 15 15 16 17 18 17 15 13 nan
nan 18 21 24 27 28 26 22 17 15 13 13 14 14 15 16 16 15 15 15 14 14 14 14 14 14 13 11 10 8 7 6 6 6 8 10 12 12 13 13 14 14 13 13 12 12 11 10 10 10 11 11 11 10 10 10 10 10 10 11 12 12 12 12 11 11 11 12 13 13 13 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 14 15 15 16 17 16 16 15 14 14 14 15 16 16 15 14 13 13 12 13 13 14 14 13 13 nan
nan 17 20 22 24 24 22 19 16 14 13 13 13 14 14 14 15 15 15 15 15 15 15 15 15 14 13 11 9 7 6 5 5 7 9 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 12 12 12 12 12 13 13 13 13 12 13 13 13 14 15 15 15 15 14 15 15 16 16 16 15 14 12 11 10 10 10 11 11 12 12 nan
nan 16 17 18 19 18 16 15 14 13 13 13 13 13 13 13 14 15 15 15 15 15 14 14 14 13 12 10 8 6 5 4 6 9 12 13 14 13 12 12 11 11 11 10 9 9 9 9 8 8 9 10 11 12 12 12 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 13 14 14 14 14 14 14 15 15 15 14 14 13 11 10 9 9 9 10 10 10 11 nan
nan 14 14 14 13 12 11 11 12 12 12 12 11 11 12 12 13 14 15 15 15 15 14 13 12 11 9 8 6 5 5 5 8 11 14 16 16 14 13 12 11 11 10 9 8 8 8 8 9 9 10 12 14 14 14 13 12 11 11 12 12 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 9 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 11 13 13 13 14 14 14 14 14 14 13 12 11 10 9 9 9 9 10 10 10 10 nan
nan 13 13 12 10 9 9 10 10 11 11 11 10 10 11 11 12 13 14 15 15 14 13 12 11 9 7 6 5 5 6 8 11 14 16 17 17 16 14 12 11 10 9 8 8 8 8 10 11 11 12 13 14 14 13 12 11 10 11 12 12 12 11 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 8 8 8 8 8 8 9 9 11 12 11 11 9 8 8 8 7 8 9 10 11 10 11 11 12 12 11 11 11 11 11 12 13 12 12 12 11 12 12 12 12 11 11 10 10 11 12 12 13 14 14 14 14 13 13 12 11 9 9 9 8 8 9 9 9 9 9 nan
nan 12 12 11 9 8 8 9 9 10 10 10 10 10 10 11 11 12 14 14 14 14 14 13 11 9 7 6 5 6 7 10 12 15 17 17 17 15 12 11 9 8 8 8 9 10 11 12 13 13 13 13 13 12 12 11 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 8 8 7 7 7 7 7 7 8 9 10 10 9 8 7 6 6 6 7 9 11 11 11 11 11 12 12 12 12 11 12 12 13 12 12 11 11 11 12 12 12 12 12 11 11 10 10 11 12 13 13 13 13 13 13 13 12 10 9 9 8 8 9 9 9 9 9 9 nan
nan 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 11 12 13 14 14 15 15 15 14 12 10 9 8 8 9 11 12 14 15 15 13 11 10 8 7 7 8 10 11 12 12 13 14 14 13 12 11 11 11 11 11 12 12 12 13 13 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 10 9 8 7 7 7 6 6 6 6 6 6 7 7 6 5 4 4 5 7 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 13 13 12 11 10 9 9 8 9 9 9 10 10 9 nan
nan 9 9 8 7 7 7 7 8 9 9 9 10 10 10 10 11 11 12 13 14 15 16 17 17 16 14 13 12 11 11 10 10 11 11 11 10 9 8 7 7 8 10 12 12 12 12 12 12 12 11 10 10 11 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 8 7 6 5 5 5 5 5 5 6 5 5 4 3 3 5 7 8 8 8 8 9 9 10 11 12 12 12 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 14 13 13 12 10 9 8 8 9 9 9 10 10 9 nan
nan 8 8 7 6 6 7 7 8 8 8 9 10 10 11 11 11 11 11 12 13 14 16 17 17 17 16 14 13 13 11 10 10 10 10 11 10 9 8 7 8 9 11 12 12 12 12 11 11 10 10 10 11 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 14 13 12 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 12 12 12 12 12 12 13 12 12 11 9 8 7 6 6 6 6 7 7 7 8 7 6 5 5 6 8 10 11 11 11 10 11 12 12 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 12 10 9 8 8 8 9 9 10 10 9 nan
nan 8 8 7 6 6 6 7 7 8 8 8 9 9 10 11 11 11 11 11 11 12 14 16 17 17 17 15 13 13 12 12 12 13 14 14 12 10 9 7 8 10 12 12 12 12 12 11 11 11 11 12 12 13 13 13 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 15 15 16 16 15 14 13 11 11 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 13 13 13 13 11 10 10 9 10 10 10 11 11 11 11 11 10 9 8 8 10 12 14 15 14 13 13 13 13 13 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 14 14 13 11 9 9 8 8 8 9 9 9 9 nan
nan 8 9 8 7 7 6 7 7 7 7 7 7 8 8 9 9 9 9 10 10 11 13 16 18 19 19 17 14 13 14 14 15 16 16 16 14 11 9 7 8 10 12 12 13 13 13 12 12 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 14 14 15 15 15 15 15 14 13 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 11 11 11 12 12 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 12 10 10 10 11 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 13 11 10 10 9 8 8 9 9 9 9 nan
nan 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 12 14 17 19 19 17 15 14 14 14 15 15 15 14 12 9 7 6 9 11 12 13 13 13 13 13 13 12 12 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 14 14 14 13 13 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 10 11 11 11 11 12 12 13 13 14 14 14 14 13 13 14 14 15 15 16 15 13 12 11 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 11 12 12 12 13 13 14 14 14 12 11 10 9 9 9 9 10 9 9 nan
nan 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 11 12 14 16 18 18 17 15 14 14 14 13 13 12 10 9 7 6 7 10 12 13 13 13 13 13 13 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 12 13 15 15 16 17 15 14 13 12 11 11 12 14 15 15 15 14 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 13 12 11 9 9 10 10 10 10 9 nan
nan 5 6 6 7 7 6 6 5 6 6 7 7 7 8 9 10 10 11 11 11 12 13 14 16 18 19 18 16 15 14 13 12 11 10 9 7 6 7 8 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 11 11 12 14 15 16 16 14 13 12 12 13 15 16 17 17 17 16 14 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 13 13 13 13 13 13 11 10 10 10 11 10 10 9 nan
nan 8 8 9 9 8 7 6 6 6 6 6 6 7 8 8 9 10 10 10 10 11 12 14 16 18 19 18 16 15 14 13 12 11 10 9 9 8 10 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 12 13 14 15 14 12 11 11 12 13 15 16 16 15 14 13 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 10 10 9 nan
nan 12 12 11 11 10 8 8 8 7 7 7 6 6 6 7 7 8 8 8 9 10 11 13 15 17 17 16 15 14 13 12 10 9 9 9 10 10 11 12 12 13 13 13 12 11 11 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 11 11 12 13 13 12 11 11 11 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 11 nan
nan 13 13 12 11 10 9 9 9 9 8 7 6 6 6 6 6 6 7 7 9 10 12 14 15 16 16 15 14 12 11 10 9 9 9 9 9 9 10 11 12 14 14 13 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 12 12 11 11 10 10 10 9 9 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 nan
nan 13 13 11 10 9 9 9 8 8 7 7 6 7 7 7 7 7 7 8 9 10 12 13 14 14 13 12 11 11 10 10 10 10 10 9 8 8 9 11 13 14 14 12 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 13 14 14 14 13 12 11 10 9 9 8 8 8 8 8 8 9 10 11 11 12 12 11 11 11 10 10 10 11 12 12 13 13 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 nan
nan 11 11 10 9 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 9 7 6 6 8 11 12 13 12 10 9 9 9 9 10 10 10 11 11 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 9 9 8 8 8 8 8 8 9 9 10 11 12 12 12 12 12 12 11 11 11 11 12 12 13 13 14 13 13 13 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 11 nan
nan 10 10 9 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 7 8 8 8 7 6 4 4 6 8 11 12 11 10 9 9 10 10 10 10 10 11 11 12 13 13 12 11 10 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 10 11 11 12 11 10 9 8 8 8 8 8 8 8 8 9 10 12 12 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 11 11 11 11 12 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 8 9 9 9 9 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 6 5 4 4 3 3 4 6 8 8 7 6 5 5 6 8 9 11 11 10 9 9 10 10 10 10 10 10 11 12 13 13 11 10 9 10 11 13 13 14 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 6 7 8 10 13 14 14 14 14 14 13 12 12 12 12 12 12 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 12 11 12 13 13 14 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 nan
nan 6 8 9 10 10 10 10 10 9 9 8 8 7 7 8 8 7 7 7 7 7 6 6 5 5 4 5 7 9 10 10 9 8 8 9 10 10 11 11 10 9 9 10 10 10 10 10 10 11 11 12 12 11 9 8 8 9 11 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 7 7 6 6 6 7 7 8 9 9 8 8 8 8 7 7 7 7 7 6 6 5 6 6 6 6 6 6 5 6 7 10 12 14 14 14 14 14 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 9 9 8 7 nan
nan 8 9 10 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 11 12 12 12 12 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 12 12 13 12 11 9 9 9 10 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 6 6 6 6 5 5 5 6 6 6 6 7 8 10 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 nan
nan 12 12 12 12 12 12 12 13 13 12 11 11 10 11 11 11 11 11 10 10 10 9 10 10 11 12 13 14 14 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 12 11 11 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 15 16 16 16 15 13 12 11 10 10 9 9 8 8 9 9 10 10 9 8 8 7 7 7 7 6 6 7 8 9 8 8 8 7 7 6 6 6 7 7 7 7 8 9 11 12 12 11 11 11 12 13 13 13 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 9 9 9 9 9 9 9 nan
nan 18 17 16 15 15 14 14 14 13 13 12 12 12 13 12 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 11 11 12 13 13 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 16 17 17 17 17 16 15 14 13 13 13 12 12 12 11 12 12 12 12 10 9 8 8 9 9 9 10 10 11 13 13 12 11 10 9 9 8 7 8 8 9 9 9 9 10 12 13 13 12 11 11 11 12 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 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 nan
nan 19 19 18 17 16 15 14 14 14 13 13 13 13 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 12 13 14 15 15 15 14 14 13 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 13 13 14 14 15 15 15 16 16 16 16 16 15 14 14 14 14 14 14 14 14 14 14 13 13 12 12 11 10 10 11 12 14 15 17 18 18 17 15 13 12 11 11 10 10 10 11 11 12 11 12 12 13 15 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 17 17 16 15 15 14 14 15 14 14 13 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 14 15 14 14 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 13 14 13 13 13 13 12 12 13 13 12 12 12 12 12 12 13 14 14 14 14 13 13 13 12 12 12 11 11 11 12 15 17 20 22 22 20 17 13 11 10 10 11 12 12 13 13 13 13 13 14 14 16 17 16 15 14 13 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 11 11 11 11 11 11 10 10 nan
nan 14 14 14 14 13 13 14 14 14 13 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 9 9 9 9 10 10 10 11 11 11 11 10 10 11 11 11 12 12 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 10 10 10 11 11 13 13 13 13 13 13 12 11 11 11 10 10 11 13 17 21 24 24 22 18 14 11 8 7 8 10 12 13 13 13 13 12 12 13 15 18 18 17 16 14 13 12 12 12 12 12 12 12 11 12 12 12 12 12 13 13 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 12 12 12 11 11 11 nan
nan 13 13 13 13 13 13 13 13 13 12 11 11 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 12 12 12 12 11 10 9 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 12 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 9 9 11 15 20 23 25 23 18 15 12 10 8 8 8 9 10 11 11 11 11 11 11 13 15 18 18 16 15 13 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 11 11 11 11 12 12 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 12 12 12 12 12 12 12 12 12 nan
nan 12 12 13 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 11 11 12 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 10 11 12 11 11 10 10 10 10 9 9 11 14 18 21 22 20 16 13 12 10 9 8 8 8 8 9 9 9 10 10 11 14 15 16 16 15 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 13 13 13 13 13 nan
nan 12 12 12 12 12 12 12 12 13 12 12 12 12 12 13 13 13 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 9 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 10 8 8 8 10 14 15 15 13 12 11 10 9 9 9 9 8 8 8 8 9 10 12 14 15 15 14 14 13 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 nan
nan 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 7 8 8 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 8 6 5 3 4 6 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 9 11 13 13 13 13 13 12 12 12 12 12 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 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 12 13 13 13 13 nan
nan 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 14 14 14 13 11 11 10 11 11 11 11 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 10 8 8 7 6 5 4 4 4 5 6 6 7 7 8 9 10 10 11 10 8 7 6 8 10 13 14 14 13 13 13 12 12 12 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 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 12 12 11 10 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 13 13 13 13 14 14 13 12 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 14 14 15 16 16 16 16 16 15 15 14 13 12 11 9 8 8 8 8 9 10 12 14 15 15 13 10 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 10 8 6 5 6 10 14 18 18 17 15 13 13 12 12 12 12 12 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 12 12 11 11 11 11 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 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 11 10 10 9 9 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 15 15 16 16 16 16 15 15 13 12 10 10 9 9 8 9 10 14 18 20 19 15 12 10 9 9 9 9 9 9 9 9 8 7 6 6 8 9 10 9 6 4 3 8 15 20 22 21 19 16 13 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 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 12 12 13 14 14 15 15 14 13 12 12 12 12 10 10 12 15 20 21 19 15 11 10 10 10 10 10 9 9 9 9 8 6 5 4 5 7 8 6 5 5 7 13 20 23 23 20 16 14 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 12 12 12 11 11 10 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 12 12 13 13 13 11 11 12 14 18 19 17 14 11 10 10 10 10 9 9 9 9 9 7 4 3 2 4 6 7 7 8 9 13 20 23 24 23 19 15 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 12 12 12 12 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 11 10 9 10 13 15 15 13 12 10 10 9 9 8 8 8 8 6 5 3 2 3 5 8 9 11 13 16 20 24 25 24 21 17 14 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 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 11 nan
nan 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 11 10 8 7 8 8 9 9 9 10 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 9 7 7 8 11 12 13 12 11 9 9 8 8 8 7 6 5 3 3 3 5 7 9 11 13 17 21 25 26 25 23 18 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 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 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 13 13 12 11 10 9 8 8 8 8 8 8 9 9 8 8 7 7 8 10 11 11 11 10 9 8 6 6 8 9 11 11 10 9 9 8 8 8 6 5 4 3 4 5 7 9 10 11 14 19 24 26 26 23 19 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 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 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 13 13 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 13 12 12 11 11 12 12 12 12 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 12 13 13 14 14 14 14 15 15 14 14 13 12 12 11 11 11 11 11 11 10 9 8 7 7 8 10 11 11 11 10 9 9 8 8 9 9 10 10 9 9 9 8 8 7 5 4 3 3 4 6 7 8 10 11 16 21 24 25 24 20 16 13 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 11 11 11 12 12 12 12 13 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 12 12 12 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 13 12 11 10 11 12 13 13 13 12 11 10 9 9 10 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 16 17 16 16 15 14 12 10 9 9 9 10 12 13 13 12 11 10 11 11 12 11 11 10 9 9 8 8 8 7 6 5 4 4 3 4 4 6 7 9 12 18 22 24 24 21 16 14 12 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 11 11 11 11 12 12 12 13 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 12 12 12 11 11 11 11 11 11 nan
nan 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 11 12 12 12 11 9 9 10 11 12 13 13 12 12 11 11 11 11 11 11 11 12 13 13 13 13 13 14 14 13 13 12 12 12 13 13 14 14 14 14 15 16 17 18 18 17 16 15 13 12 12 12 11 12 13 14 15 15 13 12 12 12 12 12 11 10 9 9 8 8 7 7 7 7 6 5 3 2 3 4 6 9 13 19 23 24 23 19 14 13 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 11 11 11 11 11 12 12 13 13 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 12 12 12 11 11 11 11 nan
nan 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 13 12 11 11 10 10 10 9 10 10 10 10 10 9 9 9 10 12 13 14 13 13 13 12 12 12 11 12 12 13 13 14 14 14 14 13 13 12 11 11 10 10 10 11 11 11 12 12 13 14 15 15 15 15 14 14 13 13 13 13 12 11 11 11 12 13 13 12 11 11 11 11 10 9 9 8 8 7 7 7 8 8 7 5 2 1 2 4 6 10 15 19 23 24 23 18 14 13 12 12 12 12 11 12 12 12 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 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 11 nan
nan 11 11 12 12 12 12 12 12 13 12 12 12 12 12 12 12 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 14 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 10 10 11 11 12 12 12 12 11 11 11 12 12 12 11 9 8 8 8 9 9 10 10 11 12 11 10 10 9 8 7 6 6 6 7 7 5 2 1 1 2 5 8 12 16 20 23 23 21 17 14 12 12 12 12 12 11 11 11 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 12 12 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 11 12 12 12 12 12 12 11 12 12 12 12 12 11 11 12 12 12 12 13 13 13 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 10 11 12 12 13 12 11 10 9 8 8 7 6 6 5 5 4 3 2 2 3 4 6 9 14 17 21 23 22 18 15 13 12 12 12 12 11 11 11 11 11 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 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 12 11 11 11 11 10 9 8 8 9 10 11 12 12 11 10 10 10 10 10 11 12 12 11 11 10 11 11 11 12 12 12 13 13 13 13 13 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 12 13 13 13 13 11 10 9 8 8 8 8 7 7 7 6 6 5 5 4 5 5 6 8 12 16 19 22 22 19 16 13 12 12 12 12 12 12 11 11 11 11 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 12 12 12 11 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 9 8 7 7 8 9 10 11 11 10 9 9 8 8 9 10 11 11 11 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 9 8 7 7 7 8 8 8 8 9 9 8 8 7 6 6 6 6 8 11 15 19 21 22 20 16 14 12 11 12 12 12 12 12 12 12 11 11 11 11 11 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 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 12 12 11 11 11 10 10 9 8 7 7 8 9 10 11 11 10 9 9 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 12 12 13 13 12 11 11 10 9 9 10 10 11 11 11 10 10 10 10 10 9 8 8 7 6 6 6 7 7 8 9 9 9 10 10 10 9 8 7 7 7 8 11 15 18 21 21 20 17 14 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 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 11 11 12 13 13 13 13 13 12 12 11 11 11 nan
nan 14 13 12 11 11 10 10 10 10 9 9 10 10 10 10 11 11 12 13 12 12 11 11 12 11 11 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 13 14 14 13 12 11 11 11 11 11 12 11 11 11 10 10 9 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 10 11 11 10 9 9 9 9 12 16 18 20 20 19 16 14 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 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 11 11 12 13 14 14 14 13 12 11 11 11 nan
nan 15 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 12 12 13 13 12 12 11 11 11 11 10 9 9 10 11 11 11 11 11 12 12 12 12 12 12 13 12 11 10 10 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 9 8 8 8 9 10 10 10 8 7 6 6 8 9 9 10 10 11 12 12 12 12 12 13 14 16 18 19 19 18 15 13 12 11 11 11 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 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 12 12 12 12 11 11 11 11 10 11 12 12 13 13 12 12 11 11 11 nan
nan 14 11 11 10 10 10 9 9 9 9 9 10 11 11 11 12 12 13 13 12 12 11 11 10 11 11 11 11 11 11 12 12 12 12 13 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 8 8 9 9 11 11 10 9 8 8 8 9 9 10 11 12 13 14 15 16 17 17 17 18 18 18 17 16 14 12 12 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 13 13 13 13 12 12 12 12 12 12 12 12 12 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 11 11 10 10 10 11 11 11 11 11 11 11 nan
nan 14 11 10 10 9 9 10 10 9 9 9 11 13 13 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 12 13 14 15 16 17 18 18 18 17 16 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 14 12 10 10 9 10 11 11 11 10 10 12 13 14 15 15 14 13 13 12 12 12 12 12 11 11 10 10 10 12 12 13 14 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 13 14 14 14 15 15 15 15 14 14 14 13 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 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 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
30 47 71 97 118 131 137 139 139 132 126 120 114 108 109 121 134 148 161 171 174 174 172 168 154 158 198 292 425 494 447 420 431 468 469 456 415 350 276 223 261 395 529 627 704 761 799 827 861 914 950 879 792 714 640 554 428 286 154 61 35 24 14 6 1 0 0 1 2 3 5 6 6 5 4 4 5 6 7 8 9 10 11 11 11 12 12 12 12 11 11 12 13 14 13 13 12 9 7 6 6 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 1 0 0 1 2 3 5 9 16 22 29 33 34 33 31 31 29 29 28 27 26 25 22 19 19 25 22 17 11 7 8 8 9 9 7 4 8 12 20 30 41 61 82 89 81 65 57 62 78 98 116 119 109 85 58 34 18 11 8 7 5 3 1 0 0 0
10 20 34 51 70 84 100 114 123 127 127 124 121 120 124 132 134 134 133 133 132 129 133 156 204 278 372 470 547 584 549 540 565 595 588 531 442 340 244 179 194 360 559 726 825 841 811 780 773 792 759 549 373 285 291 336 315 244 165 109 89 84 72 54 30 4 2 1 1 2 4 5 7 8 7 6 7 8 9 10 10 11 10 10 10 11 12 12 12 12 12 14 14 14 13 11 10 8 7 6 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 0 3 8 15 23 30 36 40 40 30 26 25 26 28 32 26 22 21 22 23 17 10 4 4 7 12 16 18 18 20 25 32 40 50 64 85 96 91 76 62 60 69 83 96 102 91 74 52 31 15 6 4 3 2 2 1 0 0 0 0
12 19 25 28 31 37 50 65 78 87 92 93 94 97 104 106 102 98 97 97 99 100 98 119 192 304 437 555 636 663 649 632 644 655 633 562 461 362 260 180 177 359 573 746 831 810 721 643 595 570 521 322 162 84 76 85 101 103 111 126 139 145 140 120 85 39 13 3 1 1 2 3 8 10 10 9 10 10 11 12 12 11 10 10 10 11 11 12 12 12 13 14 13 12 11 10 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 4 5 5 4 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 1 3 8 14 19 25 30 29 27 26 25 23 22 23 20 18 16 13 10 7 8 11 12 11 15 19 24 32 42 53 50 43 43 60 89 94 84 67 52 48 48 49 48 46 44 39 29 17 7 2 1 1 0 0 0 0 0 0 0
17 28 34 35 33 31 37 44 51 56 59 58 56 58 62 62 58 60 70 83 98 113 120 120 128 170 275 411 552 663 710 678 656 631 588 510 405 309 214 158 211 410 627 785 848 804 686 579 495 435 377 239 111 51 37 27 28 32 50 77 105 125 133 127 106 71 37 16 5 1 0 2 7 11 13 13 13 13 14 15 16 12 10 10 10 10 10 11 11 11 12 12 12 11 10 8 8 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 4 3 2 1 2 1 1 0 0 0 0 0 1 0 0 0 0 2 5 8 11 20 27 22 21 20 18 16 11 8 6 5 5 3 2 5 16 23 20 18 20 23 33 50 66 84 65 40 29 44 74 74 60 42 26 19 15 12 10 14 20 20 17 10 3 1 0 0 0 0 0 0 0 0 0
32 47 54 52 46 43 42 39 36 33 31 30 26 27 29 31 37 57 86 118 149 179 192 201 200 193 199 259 379 533 665 683 654 610 548 459 338 221 152 175 311 528 734 861 889 819 704 575 462 367 283 180 85 43 27 15 8 9 17 30 47 64 77 87 87 74 52 29 12 3 1 3 6 9 12 14 16 17 17 18 17 11 10 10 10 9 9 10 11 11 12 12 11 10 9 8 8 8 8 7 7 6 5 5 4 4 4 4 4 5 5 4 4 4 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 2 4 6 3 2 1 0 0 2 5 6 3 1 0 0 0 1 4 13 22 26 25 28 31 33 44 61 59 62 52 39 33 42 50 46 32 16 5 2 1 1 2 6 8 10 10 6 1 0 0 0 0 0 0 0 0 0 0
71 91 94 74 56 45 36 25 17 12 10 8 8 9 16 32 63 107 151 181 202 224 228 238 248 251 238 225 261 347 454 523 536 524 481 400 273 152 147 266 474 696 826 861 816 729 653 547 437 325 218 124 75 49 32 17 6 1 1 4 10 19 27 42 58 65 58 39 19 6 0 1 2 4 7 11 14 16 18 18 17 14 13 11 10 10 9 9 10 11 11 11 11 10 8 8 8 9 8 7 6 5 5 5 4 4 4 5 5 5 5 4 4 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 1 3 5 6 5 4 3 2 3 4 6 8 6 3 1 1 3 7 14 22 27 32 40 51 53 49 48 50 38 27 23 26 33 38 32 22 11 3 0 0 0 0 0 1 2 4 5 4 1 0 0 0 0 0 0 0 0 0 0
94 119 124 80 48 27 14 6 3 2 1 1 2 12 35 72 122 167 180 175 175 186 187 187 194 204 212 202 198 212 238 268 320 364 377 343 258 167 231 363 517 644 713 742 727 676 604 546 459 341 212 102 64 46 30 15 5 1 0 0 0 1 2 13 30 47 54 43 25 10 1 0 1 2 5 7 9 11 15 18 18 17 15 13 10 9 8 9 10 11 11 11 12 10 9 9 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 12 12 14 14 17 18 15 13 11 12 17 26 33 40 45 50 54 60 53 43 34 28 20 17 21 27 30 25 16 8 2 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0
74 97 100 53 25 10 2 0 0 0 1 5 12 51 93 130 156 160 127 107 106 117 123 125 135 159 195 237 254 268 284 305 340 395 441 454 426 373 447 514 571 615 652 625 598 576 565 575 513 381 226 95 45 34 22 11 4 2 1 1 0 0 0 3 13 26 36 34 17 7 2 1 2 4 5 6 6 8 13 16 17 17 16 14 11 9 8 9 10 10 10 11 10 8 8 8 7 6 5 5 4 4 3 3 3 4 4 3 3 3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 10 13 16 24 24 24 26 31 39 43 50 56 58 57 54 46 35 23 18 17 18 19 19 19 29 35 34 27 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
41 57 54 21 8 2 0 0 0 3 15 35 65 118 143 141 120 89 59 49 59 73 79 81 98 139 202 272 304 326 354 393 452 537 626 666 659 628 632 620 593 554 509 441 424 445 488 533 473 309 152 51 24 19 13 9 6 5 3 2 1 1 0 1 4 8 14 18 14 9 6 6 7 8 8 8 9 10 13 15 18 19 18 13 10 9 8 8 7 7 6 5 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 12 15 21 26 33 43 57 72 78 83 83 74 60 46 34 24 18 14 16 19 22 24 24 34 35 28 21 14 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1
13 19 16 5 1 0 0 0 1 6 41 75 104 131 121 88 54 33 35 35 47 58 61 61 82 136 209 282 326 343 362 396 457 553 667 701 675 611 543 485 435 388 345 327 347 380 400 379 283 129 40 7 6 8 8 7 6 5 3 2 1 1 0 0 1 2 4 8 10 12 13 13 13 13 13 13 14 15 17 19 21 21 17 12 10 8 7 5 3 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 9 16 21 30 43 56 67 73 76 71 69 64 49 30 25 23 24 31 43 49 45 38 34 24 24 22 19 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4
3 4 2 0 0 0 0 3 13 35 20 70 100 85 49 27 15 16 29 37 47 54 59 68 96 158 230 294 335 350 361 388 435 503 572 568 510 424 344 300 283 268 259 270 283 287 268 216 127 31 4 1 2 3 4 5 4 2 1 1 1 1 0 0 1 2 3 3 3 7 11 14 15 15 15 17 18 20 21 22 22 19 13 9 8 6 4 2 1 1 1 1 1 1 1 1 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 14 25 39 55 67 70 66 58 54 47 41 31 16 9 13 26 43 61 72 66 51 35 27 19 16 15 12 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 7 8
3 1 0 0 0 0 1 7 23 58 83 88 72 39 6 4 8 13 19 26 34 46 65 90 124 184 238 270 276 266 265 289 343 419 489 479 423 352 291 264 253 234 215 203 189 171 141 93 34 4 0 0 0 1 3 3 3 3 3 3 2 2 1 1 1 2 2 2 3 6 11 14 16 15 18 20 22 24 25 24 19 13 8 6 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 4 7 11 13 22 36 54 63 56 45 34 27 28 27 22 13 2 6 18 45 75 88 78 60 40 27 24 22 18 14 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 12 15 14 11 12
1 0 0 0 0 0 3 12 18 28 73 51 27 10 6 15 14 10 8 8 11 21 43 81 136 202 236 234 206 167 147 168 226 309 398 450 444 406 358 320 266 226 191 156 117 80 51 24 2 0 0 0 0 0 1 3 5 7 9 10 9 7 6 5 6 4 3 2 2 7 15 19 21 21 23 26 27 27 25 22 15 8 4 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 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 1 3 6 10 17 18 21 29 38 40 31 23 17 11 9 9 10 11 15 33 53 70 80 76 60 50 43 38 39 31 20 10 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 8 19 27 25 15 12
0 0 0 0 0 0 1 8 31 47 36 15 6 8 22 37 12 4 1 0 0 2 12 38 98 208 255 238 184 121 80 86 121 185 271 358 405 414 389 342 254 210 173 141 112 80 41 13 1 0 0 0 0 0 1 4 8 11 13 14 14 13 13 12 13 9 7 6 7 11 17 23 28 31 32 34 34 30 23 16 9 5 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 1 1 1 5 10 15 20 17 12 10 12 17 16 12 8 5 2 1 2 3 7 16 29 41 49 55 58 73 70 62 54 40 24 12 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 7 15 20 16 8 5
0 0 0 0 0 0 0 2 13 16 9 2 2 13 41 58 10 2 0 0 0 0 1 7 70 210 320 310 230 135 73 66 77 103 148 214 285 333 344 308 223 182 150 127 112 100 70 34 9 2 0 0 0 0 2 5 9 11 11 12 13 14 16 17 17 14 12 12 13 16 21 25 29 34 37 37 35 30 21 9 5 3 2 2 2 2 3 3 3 3 3 2 2 2 2 1 1 2 2 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 2 4 7 13 18 23 26 25 12 5 5 8 11 7 7 5 2 0 0 0 0 1 4 7 21 43 65 71 86 77 58 35 14 7 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 4 3 3 3 3 4 3 2
0 0 0 0 0 0 1 3 5 4 2 1 8 32 81 89 21 3 0 0 0 0 0 0 43 153 317 350 259 154 90 62 60 66 85 124 186 247 277 262 205 158 125 105 94 90 81 55 28 9 1 0 0 1 2 5 7 9 11 12 13 15 16 16 18 16 16 17 19 22 25 28 31 34 36 35 32 26 17 7 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 28 30 31 29 23 11 5 5 9 11 7 4 2 0 0 0 0 0 0 1 18 56 94 110 78 63 48 34 21 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 1 2 3 3 2 2
0 0 1 1 0 1 1 2 1 0 1 8 29 89 147 120 33 1 0 0 0 0 0 0 12 71 194 290 247 155 79 54 47 49 61 85 124 180 220 224 192 145 106 79 65 60 58 50 34 17 4 1 1 1 2 3 4 6 7 10 13 13 14 16 18 18 18 21 23 26 27 31 34 36 36 33 28 22 14 7 4 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 1 1 1 1 3 10 20 28 30 31 27 24 23 19 12 10 12 14 12 8 4 1 0 0 0 17 48 73 83 86 71 43 29 22 16 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 2 3 2 2 2 4
0 0 1 1 1 2 2 1 0 0 10 37 93 208 183 109 33 0 0 0 0 0 0 0 0 23 83 184 281 201 100 56 39 38 47 63 86 125 171 188 173 136 91 57 35 26 21 19 16 13 7 1 1 1 2 2 2 2 2 4 8 11 14 17 20 21 21 23 26 29 29 32 34 34 32 26 19 14 10 5 3 2 2 2 2 2 2 2 2 2 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 2 5 7 9 12 22 32 35 29 19 25 27 27 25 21 18 18 19 21 20 17 12 7 1 6 14 33 55 59 42 29 18 10 9 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 5 7 5 4 4 8
1 0 0 0 0 2 4 5 6 7 42 120 215 298 167 75 21 0 0 0 0 0 0 0 0 5 30 102 285 258 167 84 40 35 41 55 74 96 141 160 152 119 72 36 17 8 4 2 2 3 3 1 1 1 1 1 2 3 1 2 6 9 12 16 19 22 22 23 25 28 27 25 23 21 18 14 10 7 5 4 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 5 7 9 8 7 6 10 16 22 30 42 55 58 46 24 10 15 24 33 37 34 32 31 30 29 26 22 20 21 26 31 39 42 40 34 27 22 18 15 12 9 6 4 2 2 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 7 10 10 9 10 12
2 0 0 0 0 0 6 10 17 36 109 236 314 293 155 66 17 0 0 0 0 0 0 0 0 0 12 63 208 306 250 141 56 33 38 58 81 99 130 143 131 98 50 17 5 2 0 0 0 0 1 1 0 0 1 5 17 30 11 2 5 8 10 15 19 22 20 18 20 21 19 15 12 10 8 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 2 1 2 4 9 12 13 13 14 18 28 38 50 63 77 82 74 53 27 13 16 24 32 37 37 36 34 33 30 25 18 12 8 10 15 21 26 29 27 15 9 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 1 2 3 4 3 2 1 0 0 0 0 1 1 0 0 1 2 4 9 13 14 13 12 11
2 1 1 1 0 0 6 14 41 98 202 319 335 257 132 51 13 0 0 0 0 0 0 0 0 0 3 27 99 292 309 225 109 24 34 58 84 104 125 133 119 84 34 7 1 0 0 0 0 0 0 0 0 0 5 21 49 87 30 4 5 8 12 16 17 16 13 10 10 11 11 9 7 5 5 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 2 2 2 2 1 1 1 1 0 0 0 0 0 1 2 2 3 4 5 6 4 4 6 10 13 17 21 29 42 57 67 76 82 86 82 67 47 30 23 26 32 36 36 35 34 31 28 23 18 11 6 5 11 15 16 17 18 14 7 5 5 5 4 1 0 0 0 0 0 0 0 0 0 0 2 4 6 9 8 6 4 2 0 0 0 0 2 1 1 1 4 4 9 12 13 11 9 8 7
1 4 10 13 11 6 8 23 73 161 285 329 282 191 87 22 5 0 0 0 0 0 0 0 0 0 0 9 62 249 316 269 147 17 26 58 85 105 121 126 112 73 23 4 1 0 0 0 0 0 0 0 0 1 13 37 69 101 36 9 6 9 12 12 11 9 7 6 6 6 7 6 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 2 2 1 1 1 1 0 0 0 0 1 1 1 2 3 3 4 6 8 9 7 6 6 7 11 20 32 48 66 78 80 76 69 62 56 43 32 26 26 31 34 34 29 29 28 26 22 18 14 11 9 8 9 10 10 8 7 4 3 3 4 4 4 2 0 0 0 0 0 0 0 0 0 2 5 9 12 12 9 6 2 1 0 0 1 2 2 2 2 3 5 6 6 6 7 7 6 5 5
2 7 18 27 26 20 18 37 92 188 297 308 200 106 41 10 4 1 0 0 0 0 0 0 0 0 2 29 120 314 407 336 175 24 28 60 85 103 112 114 100 61 18 4 1 0 0 0 0 0 0 0 0 1 7 20 34 37 15 8 8 10 11 9 7 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 2 2 2 1 1 2 1 1 1 1 1 1 2 2 1 0 0 1 1 2 3 4 3 2 3 4 5 6 5 4 4 6 11 23 40 57 70 70 61 50 40 32 28 26 26 26 27 31 32 30 28 30 30 28 24 20 17 14 10 6 3 4 3 3 4 2 1 1 1 1 0 0 1 1 1 0 0 0 0 1 2 5 10 14 14 12 9 5 2 0 0 1 2 4 4 4 4 4 3 3 4 4 5 6 5 5 4
1 3 7 18 21 22 29 46 86 157 218 211 113 48 13 3 1 0 0 0 0 1 0 0 1 3 21 110 248 401 464 357 166 23 40 71 86 91 90 86 72 42 15 3 0 0 0 0 0 0 0 0 0 0 0 2 2 1 3 6 9 10 11 9 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 3 4 5 4 4 3 3 3 2 2 2 4 7 12 23 37 49 51 44 35 27 21 17 16 21 26 29 28 30 30 30 33 36 36 33 29 25 20 14 9 5 4 6 7 6 4 2 0 0 0 0 0 2 5 7 7 2 1 1 3 5 8 10 12 13 13 10 8 4 2 2 1 1 2 3 2 3 4 5 2 2 3 4 5 5 5 5 4
7 3 1 5 7 12 21 38 68 107 115 80 38 15 3 1 2 1 1 2 4 5 4 4 7 25 107 237 368 465 484 344 150 44 64 92 97 89 77 66 45 25 10 3 0 0 0 0 0 0 0 0 1 2 1 1 1 3 5 8 10 11 10 9 7 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 1 1 1 2 3 4 6 7 8 8 7 6 4 3 2 2 2 4 7 10 16 21 27 30 27 22 18 16 16 17 17 20 23 25 24 26 28 31 34 37 36 34 31 28 20 13 9 7 5 4 3 2 1 0 0 0 0 0 1 5 11 17 20 12 9 9 9 10 10 12 12 11 9 8 7 7 7 8 5 3 2 1 1 2 3 3 1 2 3 5 5 5 4 4 3
38 21 11 9 10 12 20 39 75 97 78 40 13 3 0 0 2 5 9 14 16 16 22 28 41 106 293 402 459 465 407 249 121 89 115 129 112 87 68 55 29 14 5 1 0 0 0 0 0 0 1 2 2 3 3 4 4 5 7 8 9 9 10 9 7 6 5 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 2 2 4 7 9 10 10 10 9 7 5 4 4 4 5 6 10 14 17 19 18 18 16 13 11 12 12 13 17 18 19 21 23 24 26 28 30 34 38 35 33 31 27 20 15 12 10 7 3 1 0 0 0 1 3 4 5 4 5 11 19 22 20 18 16 13 13 11 11 10 8 7 6 5 4 5 7 6 4 3 2 2 2 1 1 1 2 3 3 4 3 2 2 1
72 61 49 40 40 44 54 78 121 123 85 42 14 3 2 4 9 18 28 47 73 101 128 148 204 305 450 504 469 381 257 110 98 157 211 211 151 96 67 49 22 8 2 0 0 0 0 0 0 0 1 2 3 4 6 6 7 7 8 8 8 9 9 9 7 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 7 7 7 6 6 4 4 4 4 5 6 8 9 10 12 10 8 8 8 9 8 8 10 13 19 24 24 21 15 12 10 9 8 8 8 9 11 14 17 19 23 26 27 28 29 31 35 39 35 32 30 26 23 22 22 19 12 6 2 0 0 1 7 12 15 18 19 16 16 19 19 19 20 19 18 17 12 10 9 7 5 4 4 5 7 6 5 3 2 1 0 0 0 0 1 1 1 1 1 1 1 0 0
110 104 100 103 116 135 149 171 191 147 89 44 17 6 6 13 27 42 52 81 139 227 334 398 461 493 489 439 336 218 118 61 98 189 246 239 162 88 49 26 9 2 1 0 0 0 0 1 2 3 4 5 5 6 7 6 7 8 8 7 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 10 9 9 8 8 9 11 12 13 13 13 12 12 12 15 17 18 18 17 19 24 31 36 36 26 14 8 8 7 8 8 4 4 6 10 14 18 22 27 31 30 31 35 40 45 45 40 36 34 33 34 36 34 29 21 14 9 7 8 12 23 34 46 59 82 50 24 20 21 22 23 22 19 14 10 9 9 7 8 7 6 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
112 128 128 135 158 188 198 220 220 164 99 50 21 9 9 21 41 59 66 88 152 258 392 511 468 399 324 243 165 103 82 99 126 186 220 209 147 77 35 13 3 0 0 0 0 0 1 2 4 5 6 7 7 7 7 8 9 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 15 16 17 18 20 23 24 23 22 25 29 31 30 30 31 31 32 33 35 36 35 31 23 13 6 5 6 8 12 13 4 2 4 10 18 24 28 30 30 29 33 42 52 58 55 48 45 45 47 44 42 40 37 32 28 28 30 34 41 65 96 122 131 143 87 36 17 15 19 23 24 21 17 14 11 8 5 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
120 140 141 142 144 141 105 143 190 202 149 81 35 12 9 25 64 90 93 88 119 196 286 343 292 221 157 114 101 125 177 216 210 190 173 153 120 59 24 6 0 0 0 0 0 1 3 4 6 7 7 8 8 9 9 10 11 11 11 10 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 12 14 14 15 15 15 16 18 21 23 27 31 34 37 38 34 38 43 48 52 55 59 57 53 48 43 36 27 19 9 5 3 2 4 7 13 16 13 5 3 8 18 30 31 27 24 22 23 28 42 56 64 55 50 51 57 65 59 49 42 38 36 35 35 35 41 59 121 183 224 225 189 151 110 63 17 19 22 23 23 19 15 10 6 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
190 276 252 204 168 138 79 148 248 305 253 137 63 27 22 39 112 152 151 116 95 137 176 186 150 110 89 92 125 244 386 429 356 233 155 120 90 31 10 2 0 0 0 0 1 2 4 5 6 7 8 9 10 10 10 10 11 10 10 9 8 8 8 8 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 10 11 12 13 13 13 13 14 15 16 18 21 25 31 38 42 43 41 43 45 47 47 47 49 47 41 32 23 16 10 5 2 1 1 3 7 14 18 15 8 4 4 10 21 32 23 17 14 15 20 28 33 36 37 35 36 45 55 63 60 53 43 32 22 33 31 26 27 32 40 60 108 206 172 121 67 25 18 19 21 22 22 17 11 7 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
263 350 357 311 277 242 196 271 314 308 243 136 90 63 60 83 190 242 227 159 96 144 151 126 102 91 95 131 227 450 588 575 439 244 126 81 51 13 2 0 0 0 0 0 1 3 4 6 6 7 8 10 10 9 10 10 10 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 9 7 6 4 5 7 8 9 10 11 13 16 21 27 29 30 29 26 23 19 15 11 9 6 3 2 2 2 1 1 0 0 1 5 10 16 12 7 3 1 2 8 11 11 12 14 18 23 31 35 31 29 31 33 35 42 52 60 62 57 48 33 13 21 19 13 9 9 13 17 35 86 72 47 25 14 18 20 23 24 21 16 10 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0
258 347 393 374 382 379 363 375 303 223 152 110 128 128 131 161 252 282 235 154 97 162 164 144 128 134 165 216 329 548 625 568 420 233 101 49 22 5 0 0 0 0 0 1 2 2 4 5 6 7 8 9 9 8 7 7 7 7 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 2 1 1 2 2 2 2 3 4 5 6 6 8 7 7 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 5 10 8 4 1 0 0 1 8 17 27 35 38 36 34 32 31 26 23 26 34 43 50 57 63 63 56 43 27 13 12 9 6 7 10 12 14 15 14 12 13 16 18 21 24 27 28 24 18 12 8 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1
176 233 286 321 312 286 247 199 145 105 86 97 140 196 222 232 248 233 163 104 95 168 178 178 187 218 278 320 396 518 547 494 392 257 116 47 14 2 0 0 0 0 1 2 3 4 5 6 5 6 8 8 7 7 6 6 6 7 7 8 8 8 7 8 8 7 7 7 7 7 6 6 5 5 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 2 3 1 0 0 0 0 1 12 30 50 62 55 41 30 28 35 44 53 61 65 55 51 52 55 53 49 41 33 31 20 12 11 14 19 23 25 25 21 18 16 17 19 23 30 36 37 30 20 12 7 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0
96 108 121 129 124 154 147 107 70 51 38 43 80 193 259 287 282 248 187 164 178 224 219 212 221 256 306 344 368 377 381 380 343 255 124 48 15 2 0 0 0 1 2 3 4 4 4 5 6 6 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 6 6 6 6 5 5 4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 40 62 74 60 46 40 50 66 81 90 89 74 47 39 41 43 40 38 36 32 26 18 16 17 20 19 19 20 21 20 20 18 18 21 29 35 39 38 27 17 10 5 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0
65 53 45 46 62 103 113 97 66 35 19 28 79 202 265 289 290 280 283 301 299 269 234 212 201 197 197 274 361 420 423 357 287 197 98 35 11 1 0 0 0 1 2 3 4 5 5 6 6 7 7 7 6 5 6 6 7 7 7 7 7 6 6 6 5 5 4 4 4 3 3 3 3 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 1 7 24 45 68 87 84 81 85 100 114 115 103 81 56 41 35 35 34 34 35 34 31 22 15 15 18 18 14 13 13 14 14 18 19 20 23 28 32 34 33 22 14 8 4 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
64 43 32 30 40 70 87 92 85 71 70 127 208 296 295 255 215 196 228 268 282 271 251 233 219 201 187 284 412 532 614 606 385 205 89 25 5 0 0 0 0 1 2 3 4 5 6 6 7 7 7 7 6 5 6 7 7 7 7 8 7 6 6 5 4 4 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 7 3 1 3 9 25 49 76 104 129 115 108 110 121 130 113 86 57 39 37 38 37 33 36 37 36 32 25 16 13 13 12 11 10 10 11 14 20 23 25 28 30 30 30 29 21 13 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0
64 47 51 49 52 72 115 168 218 265 333 374 391 376 308 227 179 154 136 172 229 275 296 285 271 244 234 314 422 513 564 549 330 170 67 16 2 0 0 0 0 1 2 4 5 6 6 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 4 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 15 20 11 10 21 44 68 87 104 119 135 106 94 99 115 125 91 58 39 37 43 41 38 39 38 35 30 26 20 18 18 19 20 17 14 13 15 17 21 26 29 31 35 34 30 26 19 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 0 0 0
66 67 117 134 136 141 170 227 298 356 391 393 388 367 323 269 236 203 171 208 229 240 246 260 257 226 213 257 348 429 463 421 247 125 47 9 0 0 0 0 0 1 2 3 5 6 5 5 5 5 5 5 5 4 6 6 6 6 6 5 4 3 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 28 50 74 85 99 109 111 99 89 80 74 71 60 63 76 97 108 75 47 34 37 42 36 29 30 26 23 20 18 16 22 26 27 25 20 18 17 19 19 21 23 25 25 35 36 33 28 20 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 0 0 0
67 93 182 231 236 221 210 219 219 214 221 255 263 266 274 299 309 305 291 283 242 194 161 161 164 149 151 185 256 332 365 321 169 78 26 3 0 0 0 0 0 0 1 2 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 26 45 62 73 76 78 73 60 46 50 53 55 58 62 65 69 73 70 57 45 36 32 33 27 21 20 19 20 21 23 26 30 36 41 43 35 31 31 33 31 28 25 25 31 42 47 46 39 26 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
74 97 160 207 206 188 175 192 192 193 197 195 191 196 218 266 335 363 348 292 227 184 149 125 130 127 135 158 202 257 273 227 119 49 15 2 0 0 0 0 0 0 1 2 3 3 3 4 4 4 5 5 6 7 6 5 5 5 5 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 26 41 49 49 46 41 45 48 48 46 44 45 58 74 82 82 84 87 87 73 61 51 43 37 32 29 25 22 21 22 23 24 29 33 40 49 58 56 55 55 57 51 36 28 31 52 64 68 62 47 33 19 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
96 95 92 92 96 114 151 213 227 225 212 192 180 179 185 204 257 276 268 240 204 188 184 180 170 158 152 155 173 213 197 143 70 20 5 0 0 0 0 0 0 0 1 2 3 3 4 4 4 4 5 5 5 4 4 4 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 22 38 51 58 55 49 44 42 44 45 47 49 59 69 82 94 100 104 108 105 92 74 60 49 41 37 33 32 31 29 26 23 21 21 23 28 37 49 65 60 64 70 75 71 57 46 41 40 50 57 56 44 37 27 17 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
43 36 31 30 50 93 151 213 230 228 215 197 183 177 173 173 182 191 185 170 156 170 193 204 194 185 172 158 158 186 152 99 46 8 2 0 0 0 0 0 0 0 0 2 3 4 4 4 3 3 3 3 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 16 25 36 43 45 40 33 33 34 35 40 48 56 66 80 84 91 104 125 145 133 109 84 64 50 38 29 23 24 24 23 22 20 17 16 19 23 29 37 48 62 68 74 78 79 77 75 68 58 50 45 41 38 33 31 27 22 14 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
10 9 17 36 74 120 148 176 209 234 238 226 204 187 183 183 187 192 185 172 167 193 202 212 218 212 187 158 153 174 140 88 39 5 0 0 0 0 0 0 0 0 0 1 2 2 3 2 2 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 16 24 33 37 36 33 30 24 21 18 18 23 34 46 60 78 83 93 115 147 151 121 89 69 59 50 45 40 29 25 21 19 19 20 27 32 31 31 36 43 53 69 75 77 77 76 82 87 86 78 62 42 30 24 18 16 16 16 15 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
0 9 38 76 112 121 98 111 169 234 276 292 286 262 257 250 239 228 215 203 196 200 201 207 212 211 198 173 170 176 143 87 36 4 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 1 1 2 4 7 7 6 4 6 11 16 19 21 18 13 8 5 2 2 2 3 6 13 22 35 58 73 87 108 135 122 93 70 61 68 62 61 60 54 39 31 30 36 33 35 37 39 43 50 58 65 74 76 75 73 74 79 85 90 90 81 59 39 23 11 6 4 4 4 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
20 63 112 139 129 73 47 75 140 214 278 324 342 330 289 260 236 224 222 222 222 222 215 225 243 258 260 227 208 186 143 83 31 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 1 4 8 10 12 12 15 13 8 4 4 6 7 7 6 3 2 1 0 0 0 0 0 1 4 10 24 50 80 107 124 127 112 88 69 59 71 72 81 86 69 47 44 51 60 59 60 63 66 64 63 65 70 72 69 63 58 54 57 67 78 86 88 68 46 27 11 3 0 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
85 143 165 148 109 64 52 82 125 168 208 240 257 251 208 197 196 203 210 217 220 220 214 234 266 292 307 292 257 210 153 90 33 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 3 4 7 14 24 33 30 24 17 12 8 4 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 5 14 31 56 78 92 97 97 91 81 74 84 93 99 99 86 67 67 70 66 63 62 64 66 69 66 66 68 68 63 59 54 50 55 63 71 80 86 75 56 34 14 4 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
110 128 121 102 96 96 88 95 109 126 139 140 143 144 141 162 188 210 223 219 222 226 231 247 273 299 317 334 290 230 164 98 35 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 1 2 3 5 7 7 7 5 5 5 5 5 5 6 9 17 27 39 50 59 57 40 24 13 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 21 32 43 52 65 75 78 77 81 96 105 105 94 79 75 72 64 59 60 62 65 71 73 73 72 69 62 58 55 53 55 61 69 79 83 77 64 46 25 9 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
74 81 88 107 142 163 152 142 135 129 123 114 119 129 146 174 205 226 236 229 232 238 249 267 295 330 358 366 318 246 165 87 31 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 9 12 15 17 19 21 20 17 15 15 17 22 30 42 53 62 69 67 44 28 16 7 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 16 25 40 49 55 63 72 76 76 74 68 65 63 60 58 57 58 60 63 67 71 72 72 66 62 60 59 62 68 74 79 80 77 70 59 41 21 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
48 64 87 121 162 191 203 201 181 163 148 134 144 162 186 214 235 239 238 237 241 260 299 359 444 454 437 398 335 249 161 81 32 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 16 21 27 31 33 34 31 28 29 34 41 48 55 63 68 66 57 43 21 12 7 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 8 15 26 38 46 52 56 61 57 57 57 58 56 54 55 57 60 64 68 70 71 67 65 64 64 67 73 79 79 76 72 70 68 58 43 27 12 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
56 73 95 122 132 134 134 134 142 153 157 156 171 191 212 229 236 227 225 236 257 326 415 493 531 514 469 400 311 212 130 70 36 17 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 19 25 32 41 45 47 47 47 51 62 73 72 69 65 59 50 43 32 20 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 1 5 13 23 29 35 42 44 46 47 48 52 52 51 53 56 61 65 68 69 68 66 64 64 65 69 73 72 68 65 64 65 65 57 44 29 13 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
101 100 100 101 92 83 75 73 77 88 102 118 141 168 186 193 185 183 195 222 268 353 446 493 470 418 347 272 197 133 83 49 29 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 8 14 20 26 32 39 47 55 61 66 70 75 83 89 89 77 65 54 43 29 21 14 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 22 29 36 41 44 47 47 45 45 48 53 57 61 64 65 65 63 60 58 59 61 60 57 56 57 59 62 63 60 52 40 26 15 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
125 112 92 74 60 54 53 55 61 74 89 100 110 126 138 136 128 150 174 210 259 320 369 360 303 236 180 134 97 71 48 30 19 10 4 1 0 0 0 0 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 4 8 12 15 19 24 31 38 44 51 61 72 76 80 85 88 90 91 85 74 58 47 41 33 21 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 1 3 7 11 19 25 29 32 34 34 35 36 39 43 47 53 57 60 60 56 51 49 48 49 48 49 52 55 58 61 61 58 55 47 37 24 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
95 96 73 55 44 38 37 40 45 54 83 100 106 105 102 94 99 142 171 207 246 280 256 202 140 95 69 52 39 31 24 18 12 5 1 0 0 1 2 2 3 4 6 4 3 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 6 6 4 4 5 7 11 18 24 30 37 43 50 58 66 71 77 82 79 76 73 70 67 70 59 44 32 28 25 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 15 20 22 23 22 23 24 25 29 35 42 48 51 49 44 41 40 41 40 42 45 49 53 58 61 59 59 57 53 44 25 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
57 56 42 38 38 36 34 33 34 38 65 78 80 74 72 75 105 162 198 222 234 225 141 88 54 36 25 18 15 14 8 6 4 2 1 2 5 7 9 9 10 11 11 5 2 1 0 0 0 0 0 0 0 1 3 5 5 6 8 11 13 14 15 15 17 20 23 27 34 40 47 54 61 67 72 76 78 72 64 57 50 43 40 41 45 40 33 25 20 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 3 2 1 1 0 0 0 0 0 0 0 0 1 4 7 9 9 8 9 10 11 13 16 22 30 35 38 38 38 38 39 38 38 40 44 50 57 60 56 54 54 56 57 43 28 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 24 20 29 40 48 50 40 38 41 52 60 66 71 84 131 197 257 274 245 204 150 72 39 22 16 14 9 7 6 4 2 2 2 3 8 14 18 20 20 19 17 14 8 4 1 0 0 0 0 1 0 1 2 5 8 8 8 9 12 14 17 20 24 30 35 40 43 48 55 62 68 73 76 75 70 62 50 39 32 29 27 28 29 29 27 23 18 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 0 0 0 0 0 1 3 6 10 15 15 12 10 8 4 1 1 1 0 0 0 0 0 0 1 1 1 1 1 2 4 5 7 8 11 15 21 27 32 36 39 42 41 41 41 43 48 53 56 56 56 57 59 62 57 45 27 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 21 20 34 55 77 96 94 103 110 110 117 133 151 173 256 289 283 250 193 133 82 45 23 13 8 8 4 3 3 2 1 2 5 9 16 21 26 29 31 30 27 21 13 7 2 0 0 0 0 0 0 1 3 5 8 10 12 15 18 21 25 30 35 42 49 53 54 54 59 65 71 75 74 66 52 39 29 22 18 17 19 20 20 20 19 17 13 9 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 1 5 8 9 11 12 13 13 11 8 5 4 3 1 0 0 1 2 2 2 3 4 4 3 4 4 6 7 7 8 10 13 16 22 29 36 42 45 47 47 46 46 48 51 54 55 58 60 61 63 61 50 28 13 5 1 0 1 1 2 3 3 2 1 0 0 0 0 0 0 0
17 19 25 41 76 122 167 185 187 174 153 135 131 132 134 147 144 132 113 84 55 34 22 15 10 6 2 2 1 0 0 0 2 5 10 17 24 30 36 40 40 35 26 16 8 2 0 0 0 0 1 2 5 9 11 13 18 22 27 31 33 36 39 42 48 54 56 53 50 54 59 63 64 61 50 34 24 18 13 11 11 13 14 14 15 15 14 11 10 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 1 2 1 0 1 2 4 4 3 3 3 3 1 2 6 7 8 8 8 8 8 8 9 10 9 9 9 8 8 9 10 12 16 21 28 33 38 43 47 49 50 52 55 55 55 55 57 61 73 87 88 65 43 30 22 18 13 11 14 21 26 24 15 3 1 0 0 0 0 0
25 28 34 45 85 147 191 184 152 119 90 66 58 55 52 48 46 44 41 37 27 19 15 12 9 5 2 1 0 0 0 0 2 5 12 19 26 32 35 36 37 32 24 16 9 3 0 0 0 1 2 5 9 12 16 20 25 31 36 40 41 42 42 43 43 43 44 46 45 51 55 54 48 39 30 21 15 11 8 6 7 8 9 10 11 13 12 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 7 9 11 14 16 17 18 17 15 14 13 11 10 9 8 9 11 14 19 23 26 30 37 44 51 55 56 54 53 54 57 63 74 88 96 86 75 66 60 56 55 53 53 55 53 40 23 6 1 0 0 0 0 0
35 38 43 52 70 101 103 75 58 43 31 22 19 16 16 16 17 16 16 17 19 17 14 10 6 4 2 1 0 1 2 4 8 13 19 24 27 27 28 29 30 27 22 16 9 4 2 2 2 4 5 5 7 11 17 24 31 36 38 40 40 40 39 37 38 43 47 50 52 52 49 42 32 23 17 11 8 4 2 3 5 5 6 7 8 10 11 10 9 7 4 1 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 1 4 6 10 13 17 21 23 25 25 24 22 21 19 16 13 11 9 8 8 10 12 13 14 17 22 31 40 46 49 49 49 50 51 54 61 71 81 91 91 85 76 74 77 80 80 72 56 35 16 4 1 0 0 0 0 0
46 46 43 38 34 35 32 25 19 15 12 11 12 9 8 9 9 7 8 8 5 7 8 9 7 3 2 2 2 4 7 13 21 30 34 33 30 28 27 26 27 24 19 13 6 3 4 5 6 7 8 9 10 16 22 27 31 34 35 36 36 37 37 38 40 46 50 52 52 46 36 25 16 11 8 5 2 1 0 2 4 5 5 6 7 10 10 9 7 5 2 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 2 4 8 12 15 20 25 29 33 31 31 29 26 23 19 15 12 11 10 10 9 8 7 7 10 18 29 37 40 40 40 40 40 41 48 55 63 73 80 77 72 73 75 73 68 57 40 22 8 1 0 0 0 0 0 0
44 44 40 33 24 16 12 9 8 8 8 6 6 7 8 8 7 5 5 3 1 1 3 5 6 4 3 4 6 11 19 26 32 40 40 38 35 35 33 30 26 19 12 6 2 1 4 7 11 14 17 19 21 24 30 35 39 39 37 37 38 40 42 43 44 45 45 42 37 28 19 13 10 4 2 1 0 0 0 2 4 6 6 6 8 10 9 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 14 18 23 28 35 39 40 38 35 33 28 22 16 13 11 10 10 7 4 2 3 7 15 22 26 29 30 30 30 32 37 44 50 57 61 64 66 70 71 65 53 36 21 10 3 0 0 0 0 0 0 0
40 41 39 34 24 11 7 5 4 4 5 5 6 7 8 9 8 6 5 3 1 0 1 4 7 5 3 6 13 23 34 38 38 38 36 36 36 38 35 31 26 18 11 5 2 3 7 12 17 21 24 26 26 25 25 28 31 38 37 38 41 44 44 43 41 38 33 28 21 14 10 7 5 2 1 0 0 0 0 2 5 7 7 8 10 11 9 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 1 4 8 9 9 10 16 27 38 45 49 49 43 36 27 19 12 8 7 8 6 3 1 0 1 5 9 14 19 22 25 26 28 33 40 47 56 64 68 68 68 67 58 41 22 9 2 0 0 0 0 0 0 0 0
36 40 41 38 29 16 10 7 6 7 9 10 10 10 10 10 10 9 7 5 3 2 2 3 6 9 14 20 26 33 43 44 41 36 33 31 31 33 31 28 22 16 8 4 4 9 12 15 18 20 24 26 26 25 25 26 28 30 33 39 43 43 35 33 32 29 21 15 10 7 5 4 2 1 0 0 0 0 1 3 5 7 6 6 7 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 5 1 0 4 15 27 38 47 52 49 40 29 19 9 4 4 7 5 2 0 0 0 1 4 8 13 17 20 23 26 31 36 42 52 63 68 68 67 63 52 32 16 5 1 0 0 0 0 0 0 0 0
35 40 44 38 30 21 14 12 11 12 14 13 13 13 14 14 14 14 14 11 9 6 4 3 4 10 19 29 34 37 40 39 37 34 29 26 24 24 24 22 20 17 15 13 15 20 20 17 15 16 21 25 27 27 28 29 30 30 37 40 37 29 21 24 24 18 10 6 3 2 2 1 0 0 0 0 0 1 3 5 6 6 3 2 3 2 0 0 1 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 3 1 2 5 14 26 38 47 38 31 23 15 6 1 1 2 1 0 0 0 0 0 2 4 9 11 14 18 22 27 31 34 42 49 54 57 57 54 45 28 13 5 1 0 0 0 0 0 0 0 0
34 39 41 34 28 22 18 14 12 11 10 13 14 15 16 18 19 20 21 21 20 19 18 12 8 7 11 18 26 30 28 26 25 25 24 22 22 24 24 22 19 17 17 19 20 20 18 15 16 17 17 22 27 29 29 29 28 26 25 24 22 19 13 14 12 6 1 1 0 0 0 0 0 0 0 1 2 3 4 5 5 5 2 2 2 4 5 6 8 13 9 5 2 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 4 4 3 1 1 1 1 2 1 1 0 0 0 0 0 0 0 3 6 11 12 10 8 7 10 18 27 34 29 22 15 8 4 2 1 0 0 0 0 0 0 0 0 1 3 6 9 13 19 24 28 28 34 39 44 48 49 46 38 24 12 4 0 0 0 0 0 0 0 0 0
28 30 30 27 23 22 20 19 15 13 12 14 15 16 18 21 21 23 27 30 33 36 36 26 16 10 10 14 19 22 23 21 21 23 25 24 25 26 26 24 20 16 13 14 13 11 10 12 17 19 16 21 26 29 29 27 24 20 15 11 7 5 5 4 3 1 0 0 0 1 2 2 3 2 0 2 4 5 8 11 12 12 12 13 16 19 22 24 21 13 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 10 13 17 16 10 6 6 8 10 9 8 7 6 5 5 4 4 3 3 5 8 14 18 19 19 17 19 22 26 22 16 9 4 3 2 1 0 0 0 0 0 0 0 0 0 0 2 5 9 14 18 20 22 27 33 38 41 42 39 34 25 13 5 1 0 0 0 0 0 0 0 0
19 20 21 21 19 20 21 21 20 20 21 22 21 20 20 22 23 25 29 33 39 48 50 39 23 12 7 9 10 14 18 21 25 28 30 28 28 27 26 23 18 14 11 11 9 7 7 12 16 18 20 25 28 30 28 22 16 11 6 3 1 1 1 0 0 0 0 1 3 4 5 5 6 6 5 8 12 16 21 28 34 39 40 41 41 40 36 27 18 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 11 13 18 26 34 36 32 27 25 26 27 26 24 22 20 18 16 15 13 12 11 10 9 14 21 29 35 30 27 25 24 18 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 9 12 15 17 22 28 33 38 39 38 36 31 17 7 2 0 0 0 0 0 0 0 0
9 12 15 17 15 15 16 19 22 24 26 27 27 24 24 25 30 33 36 39 46 59 63 54 36 20 10 6 7 9 12 15 20 27 31 30 28 27 25 22 15 15 16 13 10 10 13 21 22 25 30 32 29 25 21 14 8 4 1 0 0 0 0 0 0 1 2 4 6 7 7 7 9 13 20 27 33 37 40 47 51 53 53 47 37 27 18 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 13 13 15 18 25 38 47 53 55 54 51 49 48 45 41 37 33 34 34 34 33 31 29 26 22 23 30 39 49 47 42 36 28 17 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 8 10 14 19 24 31 37 39 38 32 19 9 3 0 0 0 0 0 0 0 0
2 4 7 9 9 8 10 12 16 18 21 24 25 26 29 34 39 45 51 55 56 60 63 62 55 40 24 12 10 11 12 15 18 23 28 32 30 24 18 15 20 23 23 17 13 16 21 28 29 29 29 28 24 16 7 3 1 0 0 0 0 0 0 0 2 5 8 11 11 10 10 11 12 18 28 41 47 45 38 35 30 26 23 19 13 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 14 20 23 24 25 28 32 42 49 55 57 49 45 45 47 47 45 43 43 46 48 51 54 55 51 44 36 34 37 41 44 40 38 36 32 18 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 6 8 12 16 23 29 32 33 31 22 13 5 1 0 0 0 0 0 0 0
0 0 1 3 4 4 5 7 8 10 12 14 17 19 24 30 35 42 49 58 67 71 73 72 67 54 36 22 19 18 18 19 21 25 29 30 24 14 9 14 37 37 31 22 18 25 30 31 30 27 24 20 11 5 1 0 0 0 0 0 0 0 0 2 6 10 14 16 15 14 13 14 15 18 23 33 43 40 29 22 15 9 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 19 26 30 32 32 33 33 34 37 42 48 52 49 44 42 41 44 44 45 48 53 59 67 77 87 76 60 46 43 39 36 31 25 24 27 35 20 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 10 13 17 23 27 29 29 24 17 9 2 0 0 0 0 0 0 0
0 0 0 0 1 2 4 6 6 6 5 5 5 6 9 12 16 22 31 43 55 65 68 67 61 52 40 31 25 23 23 24 26 31 31 28 22 15 18 28 48 43 34 25 21 33 36 33 29 23 15 8 2 1 0 0 0 0 0 0 0 0 2 5 9 11 13 14 14 14 14 14 17 18 19 21 23 20 13 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 8 12 17 19 20 21 24 27 30 33 36 38 41 46 48 47 46 44 41 42 46 51 59 67 76 84 82 70 57 47 44 39 35 34 34 34 33 29 19 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 5 9 12 14 18 21 23 24 23 19 10 4 1 0 0 0 0 0 0
0 0 0 0 0 1 4 6 7 6 3 2 1 0 1 2 3 5 8 15 23 30 34 37 40 42 37 32 28 26 27 28 29 30 27 24 22 25 37 46 49 41 32 27 28 38 36 29 20 12 5 1 0 0 0 0 0 0 0 0 2 4 6 8 8 8 9 9 11 13 15 16 17 16 15 12 7 4 3 2 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 4 5 6 7 8 7 7 8 11 15 20 25 31 35 35 37 41 45 47 47 45 41 45 50 55 62 70 76 81 77 70 62 54 43 40 40 38 35 31 26 22 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 10 14 17 20 22 21 13 7 3 1 0 0 0 0 0
0 0 0 0 0 0 1 3 5 5 5 2 0 0 0 0 0 0 1 2 4 7 10 12 14 17 23 27 29 30 30 27 23 19 17 18 22 31 45 54 56 48 37 34 36 34 27 18 9 3 1 0 0 0 1 1 0 0 0 2 5 7 7 7 5 8 11 13 13 11 11 11 11 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 1 1 2 3 3 8 13 20 27 29 33 37 43 47 51 52 47 49 52 57 62 69 74 74 69 63 57 52 50 45 40 35 28 22 17 13 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 6 8 11 15 18 20 17 13 8 4 1 0 0 0 0
1 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 1 2 4 8 12 15 19 22 25 27 21 17 15 14 15 21 31 43 53 59 56 43 37 32 23 14 7 3 1 1 1 1 2 3 2 1 0 0 1 2 4 6 7 8 15 19 20 14 10 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 11 15 23 32 44 53 58 56 56 57 59 63 69 71 71 67 61 57 55 52 47 40 31 22 15 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 8 11 13 15 15 13 11 7 5 4 3 2
3 1 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 18 22 24 23 19 16 15 14 15 20 29 41 51 56 52 34 27 21 10 4 2 2 3 3 4 4 5 4 3 1 1 2 3 4 5 10 14 15 16 15 11 5 6 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 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 6 14 33 49 60 63 63 64 65 67 67 67 66 63 59 55 52 49 45 39 30 18 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 1 3 4 6 7 8 9 10 12 10 9 8 6 4
6 1 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 21 22 21 17 14 11 14 20 30 43 47 44 36 24 17 11 5 3 4 5 7 8 8 8 8 7 7 8 8 8 8 7 6 11 14 15 12 6 2 0 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 1 4 21 41 59 66 65 64 65 63 63 63 62 59 56 52 47 42 37 30 21 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 6 6 7 6 7 7 6 5
12 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 6 11 15 17 16 14 13 12 14 21 30 38 36 27 19 14 10 7 6 7 9 11 12 12 11 10 9 10 10 11 13 15 17 17 13 11 10 8 7 5 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 36 53 62 58 56 55 53 53 53 52 50 47 43 38 34 29 22 14 8 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 1 2 3 4 3 2 2 1 1 2 3 4 4
21 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 11 18 21 20 18 18 20 23 26 28 28 24 15 9 7 7 9 11 14 16 16 14 12 9 6 5 5 5 6 7 10 13 15 13 9 5 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 28 41 52 50 47 44 41 39 36 33 31 29 27 26 23 20 16 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 1 1 0 0 0 0 0 0 0 1 2
40 22 10 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 37 44 43 37 35 37 42 41 33 23 11 8 8 10 13 15 16 18 21 20 15 10 3 1 1 3 3 3 3 3 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 28 43 43 39 34 28 24 21 18 16 16 15 15 14 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
70 48 32 26 24 23 21 17 12 8 4 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 4 17 40 58 66 65 59 55 53 51 37 25 17 13 11 14 18 19 19 18 19 24 25 23 18 11 5 2 2 2 2 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 7 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 16 28 27 23 19 15 12 10 9 8 7 6 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
101 83 71 66 62 57 51 40 30 21 14 10 6 2 0 0 0 0 0 0 0 0 0 1 3 6 13 30 53 64 65 62 56 53 45 36 23 16 14 15 17 18 18 18 16 18 21 26 29 29 24 16 10 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 16 18 19 19 18 14 10 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 7 16 14 11 7 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
111 105 102 99 94 86 75 60 48 40 33 27 20 13 6 7 5 2 0 0 3 5 6 9 14 19 26 36 44 48 46 42 38 36 28 21 15 13 15 16 16 13 12 13 15 20 24 27 29 26 19 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 16 20 20 19 17 16 14 12 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 2 0 0 0 2 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 7 4 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
85 86 90 94 95 93 90 84 73 64 56 47 36 25 16 14 12 11 10 9 13 17 20 23 26 28 30 30 30 29 27 26 23 21 17 15 13 12 15 17 18 16 17 20 25 26 27 28 25 17 10 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 8 8 8 6 5 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 9 16 21 22 22 17 10 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
57 63 69 75 83 90 94 93 79 68 58 49 38 30 25 22 23 23 23 18 20 23 26 28 29 29 27 24 23 22 22 21 19 17 15 13 13 13 13 14 16 16 19 24 31 28 25 20 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 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 2 7 6 6 8 11 25 32 32 28 23 14 1 1 0 0 0 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
33 42 50 57 63 69 72 70 61 53 46 40 37 39 38 35 31 28 25 19 20 22 24 26 27 27 24 22 20 19 19 19 19 18 15 13 12 13 11 11 11 12 16 20 22 17 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 13 17 15 10 5 2 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 22 29 36 41 46 48 48 46 40 36 35 38 48 51 50 47 42 32 21 19 20 20 20 22 22 21 19 17 15 14 14 13 12 11 9 9 9 9 11 13 16 20 17 13 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 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
3 7 13 18 23 26 29 30 31 31 31 34 39 45 52 58 62 62 44 26 20 19 19 18 18 18 17 15 12 9 8 8 7 7 6 5 5 5 6 10 14 17 18 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 5 8 11 14 17 20 23 25 27 33 39 43 49 53 55 52 39 28 22 21 20 19 17 17 15 12 7 5 5 6 6 4 4 3 4 5 7 10 13 13 9 6 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 2 4 5 7 12 16 19 23 27 32 36 39 43 44 43 38 35 31 26 23 23 21 18 16 14 11 6 6 6 7 7 6 5 6 7 9 10 12 11 10 7 6 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 2 3 3 6 11 16 19 23 26 29 32 36 38 39 38 36 33 31 29 27 24 21 19 16 13 10 8 9 10 11 10 10 10 11 12 12 12 10 7 7 9 11 13 14 14 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 1 2 3 6 9 12 15 20 23 26 29 32 35 36 37 36 34 30 28 26 24 19 16 14 12 10 9 8 11 12 13 14 12 12 13 13 12 11 9 7 10 15 19 21 22 21 18 16 13 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 3 4 6 11 17 20 23 25 28 30 32 33 33 32 30 27 24 20 15 11 9 8 7 8 9 10 11 13 14 14 13 12 11 8 6 5 8 13 18 22 23 22 20 18 17 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 1 0 1 1 2 3 4 5 6 8 10 13 18 22 26 26 25 23 19 15 10 5 4 4 5 7 8 9 11 12 13 14 14 12 10 6 3 1 3 8 13 17 20 22 19 18 17 14 9 4 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 7 13 19 20 19 16 12 10 7 4 4 6 8 10 14 16 17 17 16 13 11 8 5 3 0 1 4 10 14 17 19 20 17 13 9 5 3 1 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 2 2 3 5 8 13 17 18 18 16 14 13 11 9 9 11 14 18 21 22 22 21 16 12 9 5 2 1 1 4 7 11 14 15 15 13 9 5 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 2 3 4 7 14 15 17 19 20 21 21 21 19 18 17 16 19 22 24 23 21 19 15 12 9 6 4 4 4 7 10 11 13 12 11 9 6 4 2 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 2 2 3 7 13 14 16 18 22 26 27 25 23 21 20 21 25 27 27 24 21 17 15 13 12 11 11 9 9 10 11 11 10 8 7 7 7 6 3 0 0 0 0 0 0 1 2 3 5 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 1 2 3 4 8 13 17 20 23 26 30 29 26 24 23 25 28 33 33 32 29 25 22 19 18 17 16 16 15 14 14 11 8 6 3 3 4 6 6 6 6 7 10 11 10 4 3 6 11 14 14 14 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 18 22 24 25 25 25 24 23 22 24 30 36 38 37 34 31 27 24 20 17 13 9 5 10 13 14 13 9 5 1 1 2 2 3 6 8 9 12 15 16 15 19 21 21 17 16 14 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 1 2 6 11 17 18 20 24 26 25 23 22 22 24 26 31 38 42 39 36 32 28 23 19 14 9 5 3 3 10 11 10 9 11 9 5 2 1 1 1 4 7 10 14 17 21 23 25 24 20 14 10 7 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 2 4 5 7 10 14 17 18 20 21 23 24 24 24 23 25 28 33 38 41 41 37 32 27 22 16 11 7 3 1 0 2 6 6 6 5 9 10 8 8 8 7 5 7 10 12 13 14 17 24 25 22 17 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 1 5 13 17 20 21 20 20 19 20 21 23 24 25 25 26 29 32 36 40 43 41 37 31 24 17 10 6 3 1 0 1 4 11 17 20 21 19 16 13 12 11 10 9 10 10 9 9 14 16 18 17 14 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
4 1 2 5 10 16 19 20 20 20 20 20 21 22 22 23 24 26 28 31 35 38 41 40 37 33 28 17 10 5 2 1 0 1 3 8 14 20 23 24 19 15 11 10 11 8 6 8 10 13 15 16 15 12 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
15 6 8 12 14 15 17 17 18 18 19 19 20 21 22 23 23 25 29 34 38 40 40 36 32 28 22 11 5 1 0 0 0 0 3 7 11 14 13 12 11 9 8 7 8 7 7 7 8 10 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 15 14 14 13 13 13 13 14 15 15 16 18 19 20 21 23 27 33 38 42 43 40 33 26 20 13 4 2 1 2 2 1 0 2 3 4 4 3 3 5 5 5 6 7 6 6 5 5 5 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
39 24 17 14 12 11 11 12 12 13 13 15 16 18 20 25 31 35 41 50 60 52 40 27 16 11 7 2 1 1 1 2 1 0 0 1 1 1 0 0 1 2 5 6 8 7 6 5 4 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
53 29 18 13 9 7 6 7 7 8 11 14 16 18 21 30 39 47 53 56 55 45 32 20 9 6 4 1 0 0 0 0 0 1 2 6 9 10 4 1 1 2 6 7 7 7 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
93 22 11 6 2 1 0 0 0 4 9 13 16 20 24 32 41 50 57 52 44 34 23 15 8 6 4 2 1 1 2 2 2 4 7 12 15 16 12 8 5 4 5 5 4 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
103 12 5 2 0 0 0 0 0 3 7 12 18 22 28 36 45 51 54 40 29 20 13 10 9 10 9 8 8 8 8 8 7 8 11 16 17 17 15 13 11 8 5 4 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
96 15 4 1 0 0 0 0 0 2 5 11 22 28 34 43 48 46 38 26 18 13 10 11 12 13 13 13 12 11 10 11 13 16 17 18 17 16 14 12 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
87 22 5 1 0 0 0 0 1 4 10 18 28 38 42 43 40 33 25 17 13 10 10 13 14 15 13 11 8 5 11 17 22 24 24 22 18 16 14 13 12 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
95 42 13 2 0 0 0 2 5 9 15 26 38 46 45 39 29 22 16 12 10 10 12 14 14 12 8 5 5 9 18 23 26 25 23 21 20 18 16 14 12 8 4 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0