Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 5 5 4 3 4 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 5 4 4 3 3 3 2 3 4 4 4 4 4 4 4 5 4 3 2 4 4 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 3 2 3 4 4 4 4 4 4 3 3 3 3 3 3 4 5 6 6 6 5 5 5 5 5 6 7 6 5 5 6 5 4 4 5 5 5 5 5 5 6 9 11 9 6 5 7 5 5 2 12 14 13 9 -1 -2 8 11 6 5 5 5 5 7 14 13 4 0 5 9 12 12 9 8 4 3 7 9 9 9 7 8 9 10 10 6 3 4 4 6 8 9 7 5 6 7 7 11 12 9 8 8 8 8 8 7 5 5 7 10 10 8 7 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 7 9 14 27 28 11 5 6 7 7 5 4 5 6 6 7 9 9 7 4 4 5 5 3 2 6 7 2 -2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 4 4 4 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 6 6 5 5 6 6 8 8 7 6 5 5 5 6 11 16 13 10 10 9 5 -1 -3 -5 -4 -9 -7 -2 -1 -1 3 7 7 8 9 10 8 3 0 -3 -7 -6 -1 4 7 9 10 12 14 18 25 28 28 24 18 13 11 10 9 9 10 12 17 20 19 20 22 21 16 10 9 8 7 7 8 6 6 6 6 6 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 5 5 4 4 5 4 3 3 2 2 3 4 4 3 3 3 3 3 4 4 4 3 3 3 2 2 2 2 2 2 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 2 3 3 3 4 4 4 5 4 4 4 3 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 6 6 5 5 4 4 4 6 6 6 5 5 5 6 5 4 5 5 6 5 5 5 7 11 12 8 5 5 9 8 7 9 11 10 14 9 3 -5 3 11 8 10 9 6 9 12 8 8 2 1 6 7 13 15 6 6 6 6 8 8 6 6 9 12 12 11 10 10 7 1 1 5 8 7 7 13 18 9 4 10 12 11 12 10 9 7 6 6 5 5 6 9 11 9 7 5 5 4 4 4 4 5 4 4 4 4 4 4 4 5 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 7 8 11 21 26 13 5 6 7 7 6 4 5 5 5 7 9 10 7 5 4 5 5 4 2 4 2 -5 -5 1 0 -1 -0 2 5 5 5 5 5 5 5 5 6 5 5 3 3 3 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 8 9 9 8 8 8 7 8 9 12 17 20 19 16 13 9 6 7 6 1 1 1 5 5 3 3 4 7 9 8 8 6 5 3 1 -3 -4 -1 3 7 7 6 7 9 12 17 19 20 18 11 7 7 6 6 6 6 7 9 9 9 12 13 10 6 5 5 6 6 6 7 7 6 6 5 5 5 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 5 5 5 6 6 5 4 4 3 2 2 3 4 3 3 3 3 3 3 4 3 4 4 3 3 2 2 2 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 3 3 3 4 5 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 3 3 3 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 3 3 3 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 4 3 3 3 4 4 4 5 5 6 6 5 4 3 3 4 5 6 6 6 5 5 5 5 4 5 6 6 6 5 4 7 13 14 9 4 4 7 8 4 7 8 8 8 4 5 -6 -7 5 12 15 13 6 4 1 1 5 4 6 8 2 8 9 3 4 11 12 10 10 9 9 11 12 10 7 5 9 8 1 2 4 7 7 9 15 15 6 2 4 6 8 10 9 6 3 3 5 6 7 9 12 12 9 6 5 5 4 4 4 4 5 5 4 5 5 5 4 4 5 5 4 4 5 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 8 12 17 18 11 4 6 7 8 7 5 5 5 5 6 8 9 7 5 4 5 5 5 3 4 3 -9 -15 -5 -1 -5 -7 -1 4 5 5 5 5 5 5 5 6 5 5 4 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 4 3 4 4 5 5 5 6 5 5 5 6 7 9 10 10 10 10 10 11 12 14 16 20 21 20 16 11 9 9 7 7 7 8 9 6 3 1 3 5 7 7 7 6 7 6 2 -2 1 4 7 8 8 7 6 7 9 10 11 11 9 6 4 5 4 4 4 4 4 5 6 6 6 6 5 3 4 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 5 6 6 6 6 4 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 3 3 4 4 4 5 5 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 6 5 4 3 3 5 7 7 6 6 5 5 5 4 4 6 6 7 5 3 5 8 8 6 2 2 6 6 -1 -4 3 9 5 5 7 -2 -10 -1 11 14 11 5 -1 -6 -0 4 7 13 19 11 4 5 4 5 11 14 15 15 11 8 12 11 7 4 4 5 5 5 6 5 5 6 7 6 3 5 7 4 5 8 8 7 4 2 2 5 7 10 13 13 9 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 5 5 5 7 13 22 19 6 3 5 6 6 7 6 5 6 5 5 7 7 6 5 5 5 6 6 5 5 8 -2 -15 -13 -2 -1 -7 -5 2 5 5 4 4 4 4 4 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 6 7 9 10 10 10 11 11 11 13 14 14 17 18 17 12 9 8 8 7 7 9 8 5 3 1 2 6 6 5 5 7 7 7 2 -1 3 6 8 10 10 10 8 8 9 9 8 7 5 4 3 2 3 3 3 3 4 5 5 5 5 4 4 3 4 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 4 4 4 4 6 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 4 3 4 4 3 4 4 5 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 4 4 4 3 3 3 3 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 5 5 5 6 6 6 6 7 9 9 8 6 5 3 4 6 8 7 7 7 6 6 5 4 4 5 7 7 5 3 4 2 1 3 4 3 5 5 -2 -0 5 6 4 9 13 7 -2 -0 6 10 9 5 2 7 9 5 6 18 26 19 2 1 2 5 5 10 13 14 10 5 5 5 4 5 6 3 4 7 7 3 -1 -1 3 1 4 13 12 8 8 9 7 5 3 2 3 5 9 13 14 10 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 4 4 5 5 5 5 5 6 11 24 26 10 1 3 4 6 6 6 5 6 6 5 5 5 5 5 4 5 5 6 5 6 8 5 -4 -14 -7 6 5 -1 2 5 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 4 4 3 3 4 5 5 5 5 5 6 7 7 7 7 9 10 9 9 9 9 8 6 6 7 7 8 9 10 10 8 8 7 5 4 6 7 4 4 3 6 9 8 6 5 12 14 12 7 4 3 4 6 8 9 11 10 9 9 10 10 9 7 5 3 2 3 3 3 3 5 5 5 5 5 4 4 4 4 5 6 7 7 6 5 3 4 5 5 5 4 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 5 4 4 4 5 6 5 5 5 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 3 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 4 3 3 4 4 4 3 3 3 4 3 3 4 4 4 4 3 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 5 5 6 6 8 8 7 7 9 11 12 11 8 5 4 5 7 7 7 7 7 6 6 5 5 4 5 7 6 5 4 3 2 4 8 7 4 5 4 0 3 4 -1 3 9 15 14 7 3 5 9 9 7 8 13 10 2 3 13 12 7 -1 3 5 3 3 5 5 6 7 3 0 -2 -1 5 8 4 2 4 3 2 3 0 -1 3 12 15 12 10 9 9 7 4 3 2 4 5 9 12 10 6 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 9 21 30 16 3 1 3 4 6 6 6 5 6 6 6 5 4 4 4 5 5 5 5 6 7 7 4 -6 -11 -2 6 5 3 5 4 4 3 2 2 2 2 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 2 3 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 6 7 9 13 16 19 18 15 11 8 8 7 6 3 -1 -3 -4 -3 -1 1 4 7 7 7 5 3 1 2 5 5 6 11 12 15 14 9 12 19 22 17 12 8 2 2 3 5 6 7 8 8 8 9 10 10 8 8 6 4 4 3 3 3 4 5 6 6 5 4 3 4 4 4 6 7 7 6 3 2 3 4 5 5 4 3 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 6 5 4 4 4 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 4 4 3 4 3 3 3 3 4 4 4 5 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 5 5 4 4 5 5 5 5 4 5 4 4 5 5 7 7 8 8 8 8 9 12 13 12 9 6 5 5 6 6 7 7 7 6 6 6 5 5 5 6 6 5 4 3 4 7 11 10 5 3 -0 -5 -5 -3 1 7 8 9 9 8 6 8 6 5 9 13 12 6 3 7 5 -2 -0 2 7 11 2 1 1 -1 1 5 4 4 -1 -2 0 6 8 1 -0 0 7 13 5 1 9 13 10 9 10 8 5 5 3 1 1 4 6 10 10 6 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 6 16 31 23 6 2 2 4 5 5 5 5 5 6 7 7 6 5 4 4 5 6 7 6 6 6 5 2 -6 -11 -5 3 5 4 5 4 4 3 3 2 3 3 3 2 2 2 2 1 1 2 3 4 5 4 3 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 8 8 10 15 21 29 34 33 24 13 8 8 6 3 1 -3 -4 -4 -4 -3 0 4 6 6 6 5 4 2 1 4 6 5 9 15 21 18 14 14 13 15 16 13 8 4 3 3 3 4 3 2 1 3 6 7 7 8 9 9 8 7 5 4 3 4 6 6 7 5 4 4 4 4 4 4 5 5 4 3 3 3 4 4 4 4 3 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 6 6 6 5 5 4 4 4 4 5 6 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 4 3 3 3 3 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 7 8 10 11 12 11 9 7 5 4 5 5 6 7 6 7 6 6 6 5 5 6 6 6 5 4 3 4 6 9 8 4 -3 -7 -6 -0 5 6 4 0 2 6 9 9 3 2 10 11 7 5 8 8 1 -1 4 4 2 5 1 -2 -3 -4 3 9 9 10 7 2 -2 2 6 7 3 0 5 11 9 10 9 7 6 6 7 5 2 1 -1 -1 2 5 10 12 9 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 10 28 31 13 5 3 3 4 4 4 3 3 4 6 7 8 7 5 5 6 7 7 6 5 5 4 3 2 -6 -9 -2 5 5 5 5 5 4 4 4 4 4 4 4 4 2 2 1 1 1 2 3 4 4 3 3 3 2 1 1 2 2 2 2 1 2 3 3 3 3 3 4 3 4 4 4 5 5 6 6 6 6 7 7 8 9 10 13 18 27 36 41 39 26 13 7 5 4 3 3 2 2 4 3 2 4 6 5 6 7 6 6 6 3 4 7 5 3 9 14 14 11 8 7 8 10 11 8 6 5 5 4 4 3 -0 -6 -6 -1 4 6 7 9 10 10 9 6 4 4 4 6 7 7 7 6 5 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 5 4 4 5 6 6 4 3 3 4 4 4 4 4 4 4 4 5 4 3 3 4 4 4 4 4 3 3 4 4 4 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 5 4 4 5 5 5 5 5 4 4 5 5 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 2 2 2 2 2 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 5 5 6 5 6 7 6 5 5 5 5 5 6 6 5 5 6 7 9 10 10 10 10 8 6 4 3 3 5 6 6 6 7 7 6 6 6 5 6 6 6 5 4 3 2 2 5 9 8 3 1 3 6 6 4 3 3 6 9 14 12 5 4 10 10 5 3 7 6 0 1 3 0 -2 0 2 -0 -4 -3 5 12 10 10 12 7 2 0 -1 1 5 10 9 6 9 12 10 13 13 8 5 3 1 -1 1 4 6 9 13 13 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 17 33 29 16 10 7 6 5 5 3 2 2 2 4 6 6 5 4 5 5 6 6 5 4 3 3 4 1 -7 -4 3 5 5 6 6 5 4 4 5 6 6 7 6 5 3 2 1 0 1 2 3 4 3 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 5 5 6 6 6 6 7 9 9 10 11 13 18 24 31 34 30 20 11 4 -1 2 5 6 6 5 5 5 6 5 5 5 6 6 7 8 9 8 9 12 10 6 6 6 7 7 6 6 7 8 8 7 6 5 5 4 6 8 6 1 -4 -5 0 5 5 6 7 7 7 6 5 5 5 6 7 7 7 6 5 4 4 4 3 3 4 6 7 6 5 4 4 4 4 4 4 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 5 4 3 4 5 6 5 4 2 3 3 4 4 4 4 5 5 5 4 3 3 3 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 2 2 3 3 3 3 4 4 3 4 4 4 4 4 4 4 3 3 4 5 5 5 6 6 6 6 6 6 5 5 6 5 5 5 5 5 7 8 8 9 9 9 8 5 4 3 3 5 6 6 6 7 7 7 6 6 6 6 7 7 6 5 4 2 2 4 7 6 7 9 7 4 6 9 15 17 14 12 15 18 12 5 5 6 4 3 4 3 3 4 2 2 3 3 6 5 -2 -2 6 12 9 8 9 4 6 3 -1 5 10 8 5 0 3 4 11 18 20 14 6 1 -1 -1 3 8 8 10 13 10 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 18 30 28 22 19 16 13 11 9 6 5 2 2 3 4 3 2 2 3 4 4 4 4 3 3 4 3 -2 -2 2 5 5 6 5 5 5 5 6 7 8 8 7 6 5 3 2 1 1 1 3 3 3 2 1 0 -1 -1 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 6 7 8 8 9 10 11 13 17 20 21 18 14 12 7 2 3 6 7 7 6 5 5 5 5 4 5 6 7 8 12 13 16 17 17 18 17 9 5 5 6 6 7 7 7 7 6 6 5 4 5 6 10 14 14 12 6 2 3 4 4 4 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 4 6 7 6 6 5 5 5 5 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 7 6 5 4 3 4 5 6 4 3 3 2 3 4 4 5 5 5 4 4 4 3 4 4 4 5 4 4 4 3 3 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 5 5 4 4 4 4 4 4 3 3 4 4 3 2 2 3 3 3 4 3 3 4 4 3 3 3 4 4 4 4 4 4 3 3 3 2 2 2 3 2 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 3 4 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 5 6 6 7 7 7 8 9 8 6 3 3 3 4 6 6 6 6 7 7 6 7 7 7 8 8 7 6 5 4 3 4 6 6 6 7 4 3 8 17 20 15 8 9 14 19 14 5 3 5 3 4 5 6 9 12 14 13 9 5 6 6 -2 -2 5 9 8 7 7 2 4 3 7 18 14 4 -8 -9 -5 -1 9 11 17 12 5 1 0 2 5 6 6 8 10 7 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 6 13 19 22 23 24 23 21 20 17 15 12 9 6 4 3 3 3 4 5 7 7 7 7 6 6 6 2 1 3 4 5 5 5 5 5 5 6 7 8 7 8 7 7 6 4 2 0 0 1 2 3 2 2 -0 -2 -2 -1 0 1 2 3 2 2 2 2 2 1 1 1 1 1 2 3 3 4 5 5 6 7 7 6 7 7 8 7 8 9 9 9 10 12 12 10 7 6 6 6 5 5 5 6 6 6 7 9 11 14 16 18 18 15 12 14 14 9 5 5 5 6 6 6 6 7 6 6 6 5 4 5 8 14 16 14 12 6 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 7 6 5 5 5 5 5 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 6 5 3 3 3 4 5 5 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 5 4 4 4 5 4 5 5 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 3 2 3 2 2 2 3 3 4 4 3 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 7 7 7 8 9 8 5 4 3 4 4 6 7 6 6 7 7 8 9 9 9 8 8 8 7 6 5 4 4 5 6 3 -2 -0 5 11 13 9 4 1 4 11 13 9 6 6 6 3 5 9 11 12 16 22 21 12 4 5 5 2 -0 1 5 4 5 5 5 5 5 14 16 5 4 3 2 2 1 4 10 9 6 4 4 5 6 6 5 7 10 8 5 4 4 4 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 9 12 15 18 21 21 20 21 21 20 18 13 8 8 9 11 12 12 11 12 13 11 11 8 3 0 3 4 4 5 6 5 5 5 5 6 6 6 7 9 9 10 9 6 2 1 1 2 3 3 3 1 -2 -1 1 2 1 2 2 3 4 4 4 4 4 3 2 1 1 1 2 3 4 5 7 8 7 6 4 3 4 4 2 -1 -0 1 1 4 6 9 10 7 5 5 4 4 4 5 6 8 10 12 14 13 13 12 13 11 7 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 5 4 5 6 9 9 6 5 3 3 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 6 6 5 5 5 5 4 4 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 6 7 6 5 4 3 4 4 5 5 4 4 3 3 4 4 5 6 6 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 6 6 7 7 9 10 8 5 4 4 4 5 6 7 6 6 6 7 10 11 9 8 7 7 7 6 6 7 7 4 0 0 -0 -5 -0 8 9 -1 3 7 7 4 7 6 5 7 6 6 4 6 14 14 11 10 13 14 11 8 6 7 11 7 0 2 2 1 0 6 6 9 14 8 7 9 19 24 16 4 1 11 8 5 6 6 7 6 6 7 13 13 7 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 4 4 4 5 7 10 12 12 12 15 18 21 21 19 16 15 16 16 13 12 11 12 13 11 8 1 -1 2 3 4 4 5 5 5 5 5 5 5 5 7 9 13 19 21 17 9 3 1 2 3 3 3 2 1 4 9 8 2 -1 1 4 6 7 9 11 12 11 8 4 1 0 1 3 5 8 11 8 4 4 2 -1 0 1 -1 -6 -9 -8 -6 -4 -3 3 6 4 3 3 4 4 5 6 6 8 10 12 12 8 5 5 6 5 4 3 3 4 4 5 5 5 5 6 6 6 5 6 6 6 6 5 5 4 5 6 5 5 3 3 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 6 5 5 4 4 3 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 5 6 6 7 7 7 6 4 3 3 4 5 5 4 4 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 5 4 5 5 4 4 4 3 3 3 3 3 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 4 5 5 6 6 6 6 7 8 10 10 7 5 4 4 5 6 6 7 7 7 7 8 10 9 7 6 5 4 5 6 5 7 8 3 -5 -6 -1 -4 1 12 13 -1 6 11 10 4 4 4 2 4 6 7 6 8 15 15 10 6 6 6 6 8 6 7 12 10 4 2 2 -1 -2 3 6 11 10 7 9 8 18 28 22 9 4 8 9 9 7 6 6 6 5 11 16 12 6 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 5 7 10 15 16 16 14 11 8 7 7 8 8 8 9 6 1 0 2 3 4 4 5 4 4 5 5 5 5 6 8 9 14 25 30 26 16 6 2 3 4 3 3 3 5 12 18 14 5 -1 0 4 6 9 12 17 21 22 20 13 5 1 1 2 6 12 14 7 -1 -0 -0 -4 -5 -2 -1 -4 -7 -9 -9 -6 -2 1 3 3 3 5 6 8 12 12 9 9 10 8 5 4 4 4 4 3 3 3 3 3 4 5 5 5 5 6 6 5 5 6 6 6 6 6 6 5 5 5 6 8 8 6 4 4 4 4 4 4 4 3 2 3 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 4 3 3 3 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 5 5 7 8 8 7 5 4 3 3 4 5 5 4 4 3 2 3 3 4 4 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 4 4 4 4 3 4 3 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 5 6 7 7 7 7 8 9 10 9 6 4 4 5 6 6 6 6 6 6 7 9 9 5 4 4 4 4 4 5 6 7 6 3 -2 -3 2 1 2 6 6 2 6 10 4 5 4 2 0 2 1 3 6 9 13 13 9 7 6 4 1 3 3 3 5 6 5 2 3 1 0 3 7 10 9 10 8 5 10 17 16 11 8 8 8 7 6 4 4 5 6 11 13 8 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 3 3 2 2 3 4 5 7 7 3 1 4 6 7 6 6 6 6 4 4 4 4 4 5 5 5 5 5 5 5 5 7 11 12 12 21 27 21 11 5 3 3 4 3 2 3 6 14 23 20 9 5 5 7 8 9 12 16 20 25 29 27 16 6 2 3 6 12 13 5 -5 -6 -5 -6 -5 -3 -0 1 1 1 -0 1 3 3 2 3 4 6 10 13 17 17 15 13 10 5 3 4 4 4 4 4 4 3 3 4 5 4 4 5 5 6 7 6 5 5 6 6 6 6 6 6 6 6 6 7 8 6 5 5 4 4 4 4 4 2 1 2 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 4 3 3 3 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 4 4 5 6 7 8 7 6 5 4 3 3 4 5 5 4 4 2 2 2 3 4 4 6 6 5 5 5 5 5 4 4 4 3 3 3 4 5 5 5 5 5 5 4 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 3 3 3 3 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 3 3 4 5 7 8 9 9 8 8 9 10 10 8 5 4 5 6 6 7 6 6 6 6 7 9 8 6 5 5 4 4 5 5 7 7 5 4 4 3 5 8 7 2 -2 5 3 8 3 9 5 2 -0 0 -2 1 7 9 9 6 5 6 6 4 1 0 0 -2 -1 3 4 2 5 5 2 5 7 8 8 9 7 7 5 8 8 8 8 5 4 4 4 3 3 4 8 12 10 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 2 2 2 2 2 2 4 6 7 7 7 7 7 8 7 7 5 5 5 6 6 6 6 6 5 5 5 7 13 18 16 16 19 14 5 1 1 2 2 2 2 2 4 11 19 22 13 10 13 11 9 9 9 9 11 17 25 32 28 16 5 3 5 9 11 5 -4 -7 -4 -1 -0 1 2 2 4 5 5 4 3 3 4 4 5 8 10 8 7 11 13 9 6 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 4 4 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 3 3 3 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 4 4 5 6 6 6 6 5 4 4 4 5 5 5 5 3 3 3 3 3 4 5 6 5 5 5 5 6 6 6 5 4 3 3 4 4 5 5 5 5 5 4 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 3 3 3 3 3 4 3 3 2 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 3 4 5 8 9 10 11 10 9 9 10 10 9 6 4 4 5 7 7 7 7 6 6 7 7 8 9 9 8 8 7 6 5 6 7 7 6 6 7 4 6 14 12 3 2 9 3 9 11 12 6 6 2 -1 4 9 13 7 1 -3 -1 3 3 3 4 4 0 -3 -0 3 4 4 4 3 4 7 6 7 6 4 4 4 2 4 5 5 5 1 4 5 3 2 3 5 8 12 9 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 5 7 8 8 8 9 9 9 8 7 6 6 6 6 7 7 7 7 6 5 5 5 10 18 21 19 18 13 5 1 -0 -0 1 1 1 0 2 6 12 16 15 14 14 11 9 7 6 4 5 9 15 22 27 21 9 2 2 6 10 8 3 2 4 4 2 3 3 3 3 2 2 3 3 4 6 8 10 11 8 6 4 4 6 4 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 6 6 7 7 7 7 7 6 6 6 5 5 6 5 5 5 7 8 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 5 4 3 4 4 4 5 5 5 5 4 4 3 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 4 4 3 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 4 4 4 7 10 12 12 12 11 11 11 11 9 7 5 4 4 6 7 8 7 7 7 7 7 7 8 9 10 9 9 8 7 7 7 7 7 8 8 9 5 5 16 19 4 4 5 7 7 13 11 8 14 7 0 4 12 17 4 -6 -9 -6 -1 0 1 4 6 5 4 5 4 5 7 2 0 6 8 8 7 5 2 2 2 1 3 3 3 1 2 5 5 3 3 4 5 11 13 7 5 5 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 2 2 2 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 7 8 8 9 9 10 10 8 7 6 6 6 5 6 6 6 7 7 5 5 4 6 11 17 18 17 12 6 2 1 -1 -0 -0 -1 -3 -1 4 7 10 10 10 10 9 7 6 4 2 3 6 9 11 14 15 9 3 1 4 9 10 7 5 7 5 4 5 6 4 5 5 3 3 6 9 10 12 12 11 10 11 8 3 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 4 4 5 5 5 4 5 4 3 3 3 3 3 3 4 3 3 4 5 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 4 4 4 4 5 5 6 6 6 5 4 4 5 9 12 15 15 15 14 12 12 10 8 5 3 3 4 6 7 8 7 7 6 6 6 8 9 9 10 9 9 8 8 8 8 7 7 7 9 10 5 4 17 22 4 2 -1 4 1 7 7 12 21 11 -1 3 11 9 -1 -3 0 4 5 2 1 2 0 3 8 7 3 7 9 2 1 7 8 8 6 5 4 4 2 1 2 2 1 1 6 5 4 4 4 5 7 12 12 7 5 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 5 5 7 7 8 9 9 10 8 6 6 5 5 5 4 4 5 6 6 5 4 4 5 7 10 14 15 13 7 3 2 1 2 2 1 -4 -7 -2 2 5 6 6 6 7 7 6 5 6 6 6 6 8 8 8 8 6 5 6 8 9 7 6 6 6 6 7 8 7 8 13 12 9 12 13 14 12 9 7 9 8 5 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 6 5 5 5 5 5 5 3 3 5 6 6 6 6 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 4 4 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 6 6 6 4 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 3 4 4 4 4 5 5 6 7 7 6 4 4 6 10 14 18 19 18 16 13 11 9 6 4 3 4 5 6 7 7 7 6 6 6 6 7 9 10 11 10 9 8 7 8 9 9 7 7 9 8 2 2 17 18 4 -3 1 1 -3 1 3 14 18 10 -4 6 14 4 3 5 13 17 13 6 2 2 1 4 7 5 4 9 10 3 3 6 6 5 6 5 4 4 3 4 4 2 2 5 9 6 5 5 4 6 9 10 8 5 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 6 7 8 9 9 9 8 7 6 5 4 4 4 4 4 4 5 5 4 4 4 5 7 10 15 18 15 8 4 4 6 6 4 -1 -8 -9 -6 -1 3 4 4 5 9 9 7 10 13 8 5 6 7 7 7 8 8 7 7 7 7 7 6 6 6 9 11 10 11 16 18 16 14 11 10 10 8 6 6 5 5 5 5 5 6 6 6 4 4 3 3 4 4 4 4 4 4 5 6 5 5 5 6 6 6 7 7 7 6 5 5 5 4 5 5 4 4 5 6 6 6 6 6 5 5 4 4 4 4 3 3 3 3 4 3 4 4 3 4 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 6 5 4 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 6 5 5 4 4 3 4 4 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 4 4 4 4 5 4 4 5 6 7 7 6 4 5 8 13 19 22 23 21 18 13 10 7 5 3 3 5 5 6 7 7 7 6 6 6 6 7 9 11 12 10 8 7 8 9 9 9 9 7 7 7 3 -0 11 14 4 -2 9 4 -2 -1 2 11 8 3 2 15 20 10 10 9 14 18 13 8 7 7 8 8 6 5 7 10 9 3 2 3 5 5 6 6 5 4 4 7 7 5 7 9 9 6 5 5 5 7 10 12 8 5 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 3 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 4 4 4 4 5 7 8 9 8 8 7 6 6 5 5 4 3 3 3 3 4 4 3 3 3 4 5 6 10 17 21 19 12 5 5 8 7 4 -2 -7 -10 -9 -3 2 2 2 5 8 6 9 14 11 6 5 5 5 6 7 7 6 5 5 5 6 6 6 6 9 11 11 11 12 14 12 9 6 6 7 7 6 6 6 6 6 6 6 6 7 7 6 5 4 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 6 5 5 5 5 4 5 6 8 9 7 5 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 3 3 4 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 6 6 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 4 5 5 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 4 3 4 4 4 4 3 4 4 4 3 3 3 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 6 7 8 6 5 8 15 22 26 26 24 21 17 13 9 6 4 3 4 5 6 7 8 8 7 6 5 6 6 8 10 12 12 9 6 7 8 10 9 9 10 5 4 10 9 1 8 13 3 1 14 12 2 -2 1 5 3 1 11 22 20 9 7 7 11 13 9 8 11 11 9 6 6 6 7 8 7 1 -2 2 6 6 5 6 8 6 4 6 9 11 12 11 6 4 5 6 7 7 9 11 7 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 3 3 3 4 4 4 3 4 4 3 4 4 3 3 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 5 6 7 9 9 8 7 6 5 5 5 4 4 3 3 3 2 3 3 3 3 3 4 4 6 10 16 21 19 11 9 9 9 7 4 2 -2 -8 -8 -4 -4 -4 -2 -1 -1 3 8 8 6 5 4 4 4 5 5 4 4 4 4 6 7 8 7 7 8 7 7 8 8 6 5 5 5 6 7 7 6 6 6 6 6 6 6 7 8 7 6 5 4 3 4 4 4 4 4 5 4 4 5 6 6 7 7 7 6 6 4 2 5 5 5 5 5 7 8 6 6 6 6 6 6 6 6 6 6 5 4 4 3 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 6 6 6 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 7 8 8 6 8 18 28 33 30 26 23 19 14 10 7 4 3 4 5 6 6 7 8 8 7 6 6 6 7 8 10 11 10 8 7 8 10 10 9 9 9 2 1 7 9 4 6 8 6 8 16 15 5 -2 2 7 6 5 13 18 14 6 4 5 9 10 7 8 9 7 5 4 5 5 5 5 4 0 -2 2 6 4 2 5 8 7 5 5 9 11 9 6 3 4 5 5 6 6 6 2 2 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 6 5 4 3 3 4 4 5 5 4 4 4 5 5 6 8 9 8 7 6 5 5 5 5 5 4 3 2 2 2 2 3 3 3 3 4 4 5 8 11 16 17 16 16 14 11 7 6 5 1 -4 -3 -3 -4 -3 -3 -5 -0 3 4 5 4 3 4 4 5 6 6 6 7 8 7 10 11 9 5 4 4 5 6 7 6 5 5 5 5 6 6 6 6 5 5 5 5 6 7 7 8 7 6 5 4 4 4 4 5 5 5 4 5 5 5 6 6 7 7 7 7 6 7 6 5 5 5 4 5 6 6 6 6 7 6 6 6 6 7 6 6 5 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 6 7 6 5 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 9 11 9 7 18 36 41 37 28 22 19 16 11 7 4 2 2 4 5 6 6 7 8 8 7 6 6 7 8 9 9 10 8 7 8 9 9 9 8 7 7 5 1 -0 1 2 1 1 8 13 17 16 6 1 7 13 11 9 10 12 9 6 4 7 9 7 7 8 6 4 3 4 4 1 0 2 2 1 3 6 6 2 -1 1 5 6 4 1 4 4 3 2 2 2 2 2 3 5 6 1 1 4 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 3 4 5 5 5 5 5 5 5 5 6 7 9 9 8 7 6 6 6 6 5 4 3 2 2 2 2 2 3 3 3 4 4 5 5 5 9 11 13 17 18 15 11 9 10 7 6 7 6 3 2 3 2 4 5 6 6 5 6 6 6 7 8 9 11 11 11 11 12 10 7 4 3 4 4 5 6 6 6 5 5 5 5 5 4 5 5 4 4 4 4 5 6 7 7 7 6 5 4 5 5 6 5 5 6 5 5 5 5 6 6 7 7 7 9 10 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 7 7 7 6 5 6 5 6 6 5 5 4 5 6 6 6 6 7 8 7 6 5 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 6 6 6 5 5 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 3 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 3 3 3 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 5 8 11 12 10 12 26 39 33 27 18 13 13 12 8 4 1 1 2 3 5 6 5 6 8 8 7 6 7 8 10 11 10 8 7 8 9 9 8 7 5 4 6 11 6 1 4 5 2 1 5 7 10 11 7 8 13 14 11 9 6 8 8 7 6 8 7 5 6 5 3 2 2 2 0 -3 -3 0 2 3 6 9 9 0 -3 -1 0 3 -0 -4 -1 1 3 1 -4 -8 -6 -4 0 5 6 5 5 6 5 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 5 5 5 6 6 6 6 6 6 7 8 9 8 8 8 8 8 7 5 5 4 4 3 2 3 2 3 3 3 3 3 4 5 5 5 5 6 9 12 14 12 10 11 11 11 15 14 10 8 8 7 8 10 11 10 8 11 13 10 11 10 9 11 11 10 9 8 6 4 3 3 4 4 5 5 6 6 5 5 4 4 4 3 3 3 3 3 2 3 3 5 5 6 5 5 4 4 5 5 6 6 5 6 6 6 6 5 5 5 5 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 7 7 7 7 7 6 6 6 6 5 5 4 4 4 5 6 5 5 7 9 8 7 5 5 5 5 4 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 4 3 3 4 3 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 5 5 4 4 4 4 4 5 5 5 6 9 13 15 13 16 22 21 16 13 9 7 8 7 4 0 -1 1 3 4 5 5 5 5 7 8 8 6 7 8 11 12 9 7 7 10 10 8 7 7 5 1 6 14 9 4 13 12 8 8 6 0 -2 1 9 16 18 14 9 8 8 8 9 7 7 7 5 4 5 3 2 -1 -1 1 -0 -1 0 4 6 4 5 8 7 -3 -4 1 1 0 -1 1 4 7 8 2 -10 -17 -10 -2 2 7 6 8 12 8 5 5 5 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 5 6 7 7 7 7 6 6 7 8 8 9 9 9 9 8 7 6 6 5 4 4 3 2 2 2 3 3 3 4 4 5 5 5 5 5 6 8 9 8 8 7 8 11 15 14 11 11 10 8 9 11 12 11 12 13 13 12 10 6 5 7 6 4 4 4 3 4 3 3 4 5 4 4 4 4 4 4 3 3 2 2 3 3 2 2 2 3 3 4 4 4 4 4 3 4 5 6 5 5 6 6 6 6 6 5 4 5 5 5 5 6 6 6 6 7 7 6 6 5 4 4 5 5 6 6 6 6 7 7 6 6 6 6 7 7 6 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 3 3 5 5 5 6 8 8 7 6 5 5 4 4 5 4 4 3 4 4 3 3 4 5 6 6 6 6 6 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 4 5 5 5 5 5 4 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 4 5 7 10 15 18 17 16 13 6 9 10 6 8 10 6 -0 -3 -0 4 5 4 4 4 4 5 6 8 7 7 7 9 11 12 10 8 8 10 9 7 8 7 5 3 8 15 7 3 8 9 12 14 7 -0 -4 -3 6 16 17 11 7 10 13 12 10 7 7 6 5 6 5 3 2 -2 0 3 2 2 5 9 9 3 4 7 4 -2 -1 4 6 2 3 7 9 13 11 2 -8 -11 -3 4 4 5 5 11 14 8 5 6 5 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 8 9 10 10 10 9 7 7 6 6 6 5 4 3 3 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 6 5 4 5 7 10 10 10 9 7 7 7 7 8 7 7 8 7 6 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 3 4 4 4 4 3 3 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 7 7 7 6 6 4 3 4 4 4 4 5 5 6 6 6 5 5 6 7 7 6 5 5 5 4 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 6 6 5 5 4 5 5 6 6 6 6 5 4 3 3 4 5 6 6 7 7 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 4 5 5 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 5 4 4 4 4 4 4 4 5 5 6 8 10 16 21 20 14 7 2 13 14 6 10 14 7 -1 -2 4 7 6 3 2 3 4 5 7 7 8 7 7 9 11 12 11 9 9 8 6 6 8 6 4 4 9 15 7 3 -2 -0 10 11 5 3 -1 -2 4 11 13 9 6 11 15 13 9 7 6 6 6 6 5 3 -0 -1 1 3 2 3 5 7 6 -3 2 6 4 3 -0 3 6 1 3 10 14 16 10 4 1 4 7 6 5 2 4 9 10 6 5 6 5 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 5 4 4 4 4 4 5 5 5 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 5 5 7 9 11 11 11 9 7 7 6 6 6 6 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 7 6 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 3 2 1 0 -0 1 2 2 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 6 7 7 7 7 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 5 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 6 5 5 3 3 3 3 4 5 6 6 5 4 3 2 3 5 7 6 6 6 5 5 6 6 6 5 4 4 4 4 4 4 4 3 3 3 4 4 5 4 5 5 5 5 4 4 4 4 4 5 4 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 8 10 17 24 21 12 4 1 12 14 4 7 11 7 1 1 5 7 5 2 1 3 4 5 7 8 9 8 8 9 11 12 11 10 9 7 5 2 2 8 10 3 5 8 4 3 -2 1 6 6 7 6 3 3 6 11 13 10 8 13 13 10 8 7 5 5 6 6 5 3 0 1 3 2 3 4 -2 -2 3 -3 -0 4 4 5 0 1 1 -4 -1 10 18 18 12 10 14 19 14 9 8 3 4 9 8 6 6 6 5 4 4 4 4 4 5 4 4 4 4 4 3 3 3 2 3 3 4 4 4 3 2 3 3 3 3 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 5 5 5 5 4 5 4 4 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 7 6 6 6 5 5 5 8 11 12 12 10 7 6 6 6 6 6 6 5 5 5 4 4 4 3 3 4 3 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 3 3 3 3 2 2 1 1 0 -0 0 2 3 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 6 7 7 6 5 5 4 3 3 3 2 2 2 2 2 1 2 2 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 4 3 3 2 3 3 5 5 5 5 5 4 2 3 5 7 6 5 5 5 5 6 6 6 6 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 4 5 5 4 4 4 4 5 5 4 4 5 4 5 4 4 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 5 4 4 3 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 5 5 5 6 7 9 12 21 28 23 11 -0 -5 -0 -1 -6 0 6 5 2 2 3 4 3 2 2 3 5 6 6 8 9 9 9 10 11 11 10 9 9 8 7 3 -2 2 7 3 3 3 1 1 5 7 3 5 11 8 6 7 10 13 15 14 14 15 12 9 7 6 4 4 4 4 3 1 -0 1 5 5 6 2 -11 -9 5 3 -0 4 4 3 -1 -3 -4 -6 -2 5 12 15 15 15 22 25 17 11 8 4 5 9 9 7 6 6 5 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 5 4 4 5 5 4 4 4 5 4 5 5 4 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 5 4 4 4 6 9 12 12 10 7 6 6 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 5 5 5 5 5 4 3 4 3 2 2 2 2 2 3 3 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 3 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 3 2 1 0 0 1 1 2 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 5 5 4 3 2 2 3 4 4 5 5 5 4 3 3 4 6 6 5 5 5 5 5 6 6 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 4 3 4 3 3 4 4 4 4 4 5 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 6 7 10 13 19 28 31 22 8 -6 -6 -6 -13 -14 -5 1 2 2 3 3 3 3 3 2 3 4 5 6 8 10 9 9 11 12 10 8 6 6 7 8 9 7 3 1 -0 0 3 2 3 7 7 2 5 14 15 11 11 17 14 13 14 15 16 16 12 8 5 4 4 4 2 1 0 -0 2 5 7 5 -3 -13 -4 16 15 -1 3 5 -1 -1 1 -2 -0 1 2 8 12 14 15 19 18 12 9 5 4 7 10 10 8 6 5 5 4 4 4 4 4 4 4 4 3 3 4 3 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 4 5 5 5 4 4 5 5 6 6 6 6 6 7 7 7 7 7 6 5 5 4 4 3 5 7 10 10 9 8 6 5 5 5 6 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 5 4 4 3 3 2 2 2 2 2 3 3 4 4 4 4 3 2 1 2 2 2 3 3 3 4 8 11 12 10 8 6 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 4 3 2 1 1 1 2 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 6 6 5 4 3 3 2 3 3 4 5 5 6 5 3 3 4 6 6 5 5 5 4 4 5 5 4 4 5 6 7 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 5 4 4 4 3 3 3 4 3 4 4 5 4 4 5 5 5 5 4 4 5 5 5 5 6 8 11 15 21 28 31 28 18 4 -5 2 -4 -13 -11 -4 0 2 2 3 3 3 3 3 3 3 4 5 6 8 10 10 12 13 11 9 6 4 3 4 5 6 10 13 9 3 -3 -0 1 3 5 6 2 5 14 21 21 21 20 10 7 9 12 14 16 14 9 4 1 2 3 3 2 2 4 7 8 7 2 -7 -5 13 26 17 -1 2 7 -1 7 10 6 6 2 3 11 13 11 12 14 12 9 7 4 5 9 11 12 9 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 5 5 5 5 4 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 4 3 4 5 5 6 6 6 6 7 7 7 7 7 7 6 5 4 3 3 3 5 8 8 8 8 6 5 5 5 5 5 6 6 6 5 6 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 6 8 7 6 4 4 4 3 2 2 2 2 2 3 4 4 4 4 3 2 2 2 2 3 3 3 4 7 13 18 21 18 12 6 5 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 2 2 3 3 3 3 4 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 5 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 7 6 4 3 3 3 3 3 3 4 5 6 5 5 4 5 5 6 6 5 4 4 4 4 4 3 3 4 6 6 7 6 5 5 5 5 4 5 5 5 5 5 5 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 3 3 4 3 3 4 4 4 4 4 4 3 3 3 4 5 4 5 5 4 5 5 5 5 5 5 5 5 6 8 10 13 17 22 26 26 25 21 9 -3 -2 3 -4 -10 -5 -1 2 2 3 4 4 3 3 3 3 3 4 5 7 9 12 13 14 15 11 7 5 4 3 5 4 2 3 8 11 9 2 1 2 3 4 5 4 9 16 20 21 19 12 9 5 5 8 10 10 10 10 5 0 1 3 4 5 6 8 10 8 3 -2 -5 4 19 23 10 -1 7 10 2 12 12 10 12 10 11 14 11 8 10 11 11 9 6 4 6 8 11 14 9 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 3 2 2 3 4 6 6 6 6 6 7 7 7 7 8 7 6 6 4 4 3 3 4 6 7 7 8 7 6 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 6 7 9 9 7 5 4 4 3 2 2 2 3 3 4 4 4 4 3 3 2 2 3 3 3 3 4 8 16 25 28 22 12 5 5 6 5 5 5 6 6 7 7 6 6 6 5 5 6 5 5 6 6 5 4 3 2 2 2 3 4 5 5 6 6 6 7 7 7 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 5 5 4 4 5 5 6 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 6 5 4 4 4 3 3 3 3 4 6 6 5 5 5 5 6 6 6 5 4 4 4 3 2 2 3 4 6 6 6 5 5 4 4 4 4 4 5 5 5 5 6 6 5 4 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 5 4 5 5 5 5 6 7 10 13 17 20 22 23 20 16 16 15 3 -7 -7 -11 -10 -7 -1 1 1 2 3 4 4 3 2 2 3 3 3 5 7 11 16 17 15 15 12 8 4 2 6 10 7 6 6 3 1 1 3 4 4 5 5 5 6 11 19 20 15 9 6 9 8 5 5 6 5 10 17 12 4 4 5 6 7 7 8 8 5 1 -2 -3 2 12 15 8 2 8 10 4 8 6 8 15 20 20 15 10 8 9 10 9 7 5 5 6 7 11 13 8 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 3 2 2 3 5 6 6 5 6 6 6 7 7 7 7 7 7 6 5 4 3 3 3 5 6 6 7 7 6 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 9 10 9 8 6 4 3 2 2 3 3 3 3 4 4 4 4 3 2 2 2 2 3 3 4 8 17 28 30 21 8 4 6 6 5 5 5 6 7 7 7 7 6 7 7 7 6 5 5 7 9 9 6 3 2 3 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 7 7 7 7 7 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 4 4 4 5 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 5 5 5 5 5 4 3 3 5 5 5 6 5 5 6 6 6 6 6 6 5 5 4 2 2 2 3 4 5 5 5 4 4 4 3 3 4 6 6 5 5 6 5 5 5 4 5 5 5 4 4 4 4 4 4 3 4 4 3 4 4 5 4 5 5 5 5 5 4 4 5 4 5 5 6 6 5 5 5 5 6 6 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 3 3 4 3 4 4 3 3 3 4 4 4 4 4 5 4 4 4 5 5 5 6 9 11 14 18 20 21 19 16 11 8 8 8 2 -5 -9 -13 -10 -2 1 2 2 3 4 5 4 3 3 3 3 3 3 5 9 16 20 19 15 13 12 9 6 -0 8 14 10 8 9 5 1 -0 2 3 4 5 6 7 7 12 21 19 9 5 5 6 10 8 7 5 4 12 23 20 11 8 7 7 7 6 5 4 3 3 2 -1 -1 6 12 10 5 5 6 9 7 2 3 11 18 19 13 9 8 9 9 7 5 5 6 5 6 9 10 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 6 7 7 6 6 6 6 6 6 6 6 7 7 6 6 4 3 3 3 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 6 8 10 11 9 6 4 3 2 3 3 2 2 3 3 3 3 3 2 2 2 2 2 3 4 7 14 23 25 15 5 5 7 6 5 5 6 6 7 8 7 7 6 6 9 9 7 4 3 6 10 10 8 5 4 4 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 5 4 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 3 2 2 2 3 4 5 5 5 5 4 3 3 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 5 5 5 4 5 5 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 7 12 14 17 19 16 14 12 11 8 4 3 3 0 -2 -2 -1 -0 3 2 2 3 4 4 5 5 3 2 3 3 3 4 7 13 20 23 19 13 10 6 4 4 2 9 13 9 7 5 4 5 4 4 3 3 4 6 6 7 13 17 12 4 1 2 4 7 10 9 6 5 12 22 21 13 9 8 7 6 4 4 5 6 6 3 3 4 5 9 9 7 4 3 12 8 3 2 5 12 14 9 6 5 4 5 5 4 4 5 6 8 12 13 8 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 3 3 4 4 3 3 3 3 2 3 3 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 4 3 3 4 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 6 5 5 5 4 5 6 8 11 10 8 5 3 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 3 6 9 14 15 10 7 8 7 5 5 5 6 7 8 8 7 5 4 4 8 10 9 4 1 4 7 8 8 7 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 5 5 5 4 4 4 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 4 4 4 4 4 4 5 5 6 6 6 5 4 3 4 5 5 5 5 6 7 7 6 6 4 3 3 3 2 2 3 5 5 5 5 4 3 4 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 9 14 15 14 12 8 7 9 11 10 8 7 6 2 2 4 5 4 4 3 3 4 4 5 6 5 3 2 3 2 3 6 12 18 21 21 15 10 7 2 1 2 4 8 9 5 2 3 1 1 4 4 3 4 5 4 4 7 11 9 2 -1 2 3 2 3 8 10 8 6 10 16 18 11 5 6 7 5 2 3 6 4 0 1 5 6 5 6 6 6 3 4 11 4 5 7 6 11 9 2 -1 -1 1 2 3 4 4 5 7 8 12 11 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 4 3 4 6 6 5 5 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 5 6 7 7 6 6 5 5 5 5 5 6 7 9 9 7 4 2 2 2 2 1 1 2 2 3 4 3 3 3 2 2 2 3 5 9 10 8 7 9 10 8 5 4 5 6 7 7 7 6 4 2 2 5 8 9 6 2 0 2 4 5 5 5 5 5 5 4 5 5 5 4 3 4 4 4 4 5 6 6 6 6 6 6 7 7 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 5 4 3 4 4 4 5 5 6 6 6 5 4 3 2 3 4 5 5 6 6 7 6 6 6 5 5 4 3 1 2 4 4 4 5 5 5 4 4 5 6 6 5 5 5 6 6 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 7 12 15 13 10 7 5 6 9 12 12 15 20 17 10 5 5 5 5 5 5 4 4 5 7 6 5 3 2 3 3 6 11 15 18 18 14 8 4 4 4 5 6 5 6 5 1 0 7 8 8 5 5 8 8 6 2 4 8 11 9 1 -2 4 8 6 5 9 10 8 9 10 14 14 7 3 5 6 1 -3 -1 -1 -7 -6 -1 1 4 5 4 2 1 3 7 10 3 8 14 14 13 1 -9 -9 -3 1 2 3 4 4 6 6 6 7 8 6 5 5 5 4 4 4 3 4 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 3 2 2 3 2 3 3 3 4 4 5 5 5 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 6 5 5 4 5 4 4 4 4 4 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 5 5 4 4 4 4 3 3 4 5 6 5 4 4 3 3 3 4 3 3 3 3 3 4 5 4 4 4 4 5 5 6 7 7 7 6 5 5 5 5 4 5 6 6 7 5 4 2 2 2 1 1 1 2 2 4 4 4 4 3 2 2 2 5 9 10 8 7 9 11 9 5 4 5 5 6 6 6 5 4 3 3 4 5 7 6 3 0 -0 1 3 4 4 4 3 4 4 4 4 5 4 4 3 4 4 4 5 5 5 6 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 6 6 5 5 4 4 4 5 6 6 6 5 5 5 4 3 2 3 4 5 6 6 6 6 6 6 7 7 6 3 2 1 2 3 3 4 5 5 5 5 5 5 5 5 5 5 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 5 4 5 5 5 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 8 11 15 15 10 7 6 6 7 9 10 11 16 26 20 11 5 4 4 5 5 5 5 5 6 7 6 4 2 3 3 4 9 15 16 15 13 10 7 3 0 0 5 11 11 9 7 4 6 12 15 11 4 5 15 11 7 2 4 8 11 13 7 2 5 7 7 9 10 8 7 9 10 11 10 5 5 7 5 -2 -5 -2 -2 -2 2 3 5 7 6 -0 -2 -1 1 3 5 6 13 21 21 8 -8 -13 -6 2 5 6 6 4 4 6 6 5 7 11 10 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 2 2 3 2 2 3 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 5 5 4 4 4 4 3 2 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 4 4 3 4 4 4 4 4 3 2 1 1 1 1 2 3 3 4 4 3 2 2 2 4 7 9 8 7 8 11 10 6 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 3 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 7 6 6 5 5 5 6 6 6 6 5 5 5 4 4 3 3 4 5 5 6 6 6 6 7 8 10 7 4 2 1 1 2 2 3 4 5 6 5 5 5 5 5 4 5 7 8 6 5 4 5 6 6 7 7 7 6 6 6 6 5 4 5 5 5 5 5 4 4 4 4 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 8 12 15 13 10 7 6 6 6 7 8 8 7 10 12 8 5 4 4 4 5 5 5 6 6 7 7 5 3 2 3 4 7 12 17 15 11 11 12 12 8 2 -2 1 9 14 14 10 7 9 6 1 4 6 6 13 11 7 5 6 6 8 10 7 6 7 4 2 3 4 3 3 4 6 7 6 4 7 8 4 0 2 8 9 11 12 13 14 10 3 -1 -2 -2 -4 -1 0 7 14 25 22 3 -6 -0 9 14 13 12 10 7 5 5 5 5 9 13 12 7 5 6 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 6 5 4 4 4 4 3 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 3 3 3 3 5 5 4 2 1 1 1 1 2 3 3 4 4 4 3 2 3 3 4 6 7 6 7 10 10 8 6 5 6 5 5 5 5 4 4 5 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 8 8 6 6 5 5 6 7 7 6 6 5 4 5 5 4 3 3 4 5 5 5 5 5 6 8 10 9 6 3 1 0 2 2 2 3 4 5 6 6 6 5 4 4 6 7 7 5 4 4 4 4 5 6 6 6 6 5 5 5 4 4 5 5 6 6 6 5 4 4 4 5 6 6 6 5 6 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 8 12 12 8 6 5 6 6 6 7 7 7 5 2 -5 -4 -1 2 4 4 5 5 5 5 6 7 7 4 3 4 5 7 10 14 16 13 9 9 13 15 9 3 2 1 4 7 10 9 9 6 -2 -4 -1 2 12 13 8 4 6 7 4 5 7 6 8 9 5 2 -1 -2 -0 -1 -4 -2 3 4 5 8 6 3 4 10 15 15 15 11 10 10 6 1 -1 -2 -1 1 -0 -2 4 14 25 20 6 6 16 22 21 18 14 10 6 5 5 5 6 9 13 11 6 5 6 6 6 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 4 4 4 5 4 5 5 5 5 5 5 6 6 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 3 2 2 2 4 4 4 4 4 3 3 2 2 2 3 3 3 3 4 4 4 3 4 4 4 4 5 6 5 5 5 5 4 4 5 5 5 6 7 5 3 2 1 1 1 2 2 3 4 5 4 3 2 3 3 2 4 5 6 8 9 9 9 7 6 5 5 5 5 5 4 5 5 5 6 6 5 5 5 5 4 4 4 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 8 8 9 8 7 6 6 6 7 7 7 6 5 4 5 5 5 4 3 4 4 3 3 3 4 5 7 8 8 7 4 1 1 3 3 3 3 3 4 6 6 6 6 5 4 5 6 6 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 5 4 4 4 4 5 5 5 6 6 6 6 5 5 5 6 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 6 6 6 9 11 6 5 5 6 6 6 7 8 7 6 2 -6 -4 -0 3 4 4 4 5 5 5 7 7 6 4 4 5 8 10 13 14 13 10 8 8 11 10 2 1 7 6 3 4 5 6 6 2 -1 3 0 1 13 11 4 2 6 7 0 5 9 7 8 7 7 10 6 2 3 1 -3 -0 3 3 4 7 7 5 8 13 12 5 -3 -5 -1 4 4 2 1 0 1 3 2 2 5 17 24 18 10 12 19 22 19 14 9 5 4 5 5 5 6 9 12 12 7 6 6 6 6 6 5 5 5 4 4 3 4 4 4 4 5 5 5 4 4 4 4 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 4 3 3 4 5 5 4 4 3 2 2 2 2 3 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 4 5 5 5 8 10 9 10 11 9 6 4 2 1 2 2 3 4 4 4 4 3 2 2 3 2 3 5 7 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 7 8 9 9 8 7 6 6 7 7 7 6 5 4 5 5 5 5 4 3 2 2 2 2 4 5 5 6 7 6 5 3 3 4 3 4 4 4 4 5 6 7 7 6 4 4 5 5 6 5 5 6 6 6 5 5 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 8 10 8 6 5 5 6 7 9 7 4 6 5 2 2 4 5 6 5 4 5 5 6 8 7 6 5 6 9 12 13 13 11 9 6 7 8 11 8 2 3 8 5 3 6 4 1 1 3 6 10 9 7 8 8 8 7 9 4 1 8 11 9 8 8 12 13 10 12 13 11 11 11 7 2 2 5 10 6 6 12 9 2 -7 -7 -1 1 -3 -2 2 5 4 1 4 5 7 19 18 14 10 9 12 13 11 8 4 2 4 6 6 6 7 10 15 14 8 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 6 6 5 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 5 5 5 5 6 6 7 6 6 5 5 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 5 4 4 5 4 5 9 12 12 13 14 15 13 8 3 2 1 2 3 4 4 5 5 3 2 2 2 3 3 5 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 6 7 7 7 7 6 6 6 6 7 8 9 8 8 7 6 6 5 5 5 5 5 6 5 4 4 5 5 6 8 10 11 10 9 6 5 5 4 3 4 5 6 9 11 11 8 6 5 5 5 5 4 4 3 3 3 5 6 6 6 5 5 5 6 6 6 5 4 5 5 6 6 5 4 4 5 5 6 6 5 5 6 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 12 26 37 23 1 -1 2 2 -1 -1 2 7 16 20 13 0 -6 -8 -10 -2 5 6 7 7 6 6 5 4 4 4 4 5 6 10 13 14 11 9 7 8 11 11 8 6 5 1 7 19 15 3 8 12 13 10 3 2 4 3 4 4 6 8 6 10 22 18 4 5 10 13 12 6 4 6 6 4 3 1 -2 -4 -3 1 -5 -9 -6 -0 6 8 5 2 1 3 6 4 3 4 2 5 2 -1 2 6 9 10 10 10 12 12 11 13 13 11 8 8 9 7 5 4 5 6 6 7 5 4 4 4 5 5 4 5 5 5 8 10 8 7 7 8 7 7 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 8 8 7 7 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 5 6 13 15 8 7 6 6 6 7 6 6 5 7 11 17 21 18 11 16 24 17 6 4 4 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 5 5 4 4 4 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 7 7 7 7 6 7 7 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 8 9 9 7 6 5 4 2 2 3 5 7 9 12 10 7 5 4 4 5 4 4 4 4 3 4 5 6 6 5 5 5 6 7 6 5 5 5 5 5 6 5 4 4 5 5 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 5 10 20 30 25 3 -9 -4 1 3 3 4 6 13 25 29 23 9 -2 -8 -11 -3 4 5 5 6 7 7 6 5 4 4 5 6 8 11 11 9 7 7 8 10 11 11 11 11 9 3 5 10 0 0 7 11 12 9 3 4 8 7 5 4 5 3 4 16 18 13 4 9 14 11 7 5 7 7 5 3 2 1 -0 1 2 4 1 -2 -1 2 4 7 9 11 12 13 13 5 -1 6 15 16 6 2 3 6 10 12 12 12 12 10 9 11 10 8 9 8 7 5 4 5 6 6 7 7 5 4 5 4 4 4 5 5 5 6 6 2 -1 2 7 8 7 7 6 6 6 6 6 7 8 8 8 9 9 9 9 9 8 8 8 7 6 6 5 6 6 6 6 5 5 6 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 4 8 14 11 6 5 6 6 7 7 7 6 6 7 8 12 15 12 8 16 20 13 5 4 4 4 4 4 3 3 3 2 2 2 2 3 4 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 6 7 7 8 8 8 7 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 5 5 4 5 5 6 6 7 8 8 6 4 3 2 3 4 6 7 9 10 8 5 3 4 5 6 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 9 18 24 19 5 -6 -4 0 3 5 7 7 6 21 30 31 27 14 5 3 1 2 4 4 4 6 7 7 7 6 5 5 6 7 9 10 9 9 7 5 8 11 11 11 12 11 11 5 2 0 -5 1 4 7 11 9 4 4 5 6 7 7 7 5 8 17 10 5 8 15 18 9 2 1 3 4 2 2 3 5 4 5 7 8 13 17 14 10 5 6 8 7 6 6 2 -4 -0 11 22 17 7 5 3 5 9 11 10 11 10 8 7 7 8 9 10 8 4 3 4 6 6 7 7 6 4 4 4 4 3 4 4 4 5 7 6 2 1 4 7 7 7 7 7 7 7 6 7 8 7 7 7 8 8 8 8 8 7 7 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 4 3 4 4 4 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 3 4 5 5 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 5 5 4 4 3 7 11 9 6 5 5 6 7 7 7 7 7 6 6 8 10 10 9 14 16 12 9 6 5 5 4 4 3 3 2 1 2 2 3 3 4 5 5 5 5 5 5 5 7 7 7 5 5 6 7 7 7 6 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 7 7 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 7 6 6 6 6 6 6 5 5 6 8 9 8 5 3 2 3 5 6 7 8 9 8 6 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 6 6 6 5 5 4 4 5 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 6 14 21 17 4 -3 -3 -2 1 6 8 9 7 7 23 25 20 20 9 2 5 7 4 3 4 4 5 6 7 9 8 6 5 6 8 9 9 10 11 9 6 6 8 9 10 12 13 12 7 2 5 5 3 3 7 8 5 5 5 6 7 10 12 11 10 12 15 6 4 14 19 17 6 1 1 2 4 4 5 8 9 8 9 13 13 13 12 10 9 5 5 4 3 6 7 1 -1 7 11 14 8 6 7 4 6 7 7 6 7 7 7 7 8 9 10 10 5 3 4 5 5 5 6 6 5 4 4 4 4 3 4 4 4 5 6 5 5 5 8 8 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 5 6 5 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 4 6 6 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 8 7 7 6 6 5 5 6 6 5 6 6 6 5 5 5 5 4 4 5 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 8 10 16 20 16 12 9 6 6 5 4 4 3 2 2 2 2 2 3 4 5 5 5 5 5 5 6 7 7 6 5 4 5 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 5 5 4 5 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 7 8 9 9 10 10 10 8 7 7 6 7 7 7 6 6 7 8 7 7 7 7 7 7 7 6 8 8 8 6 5 6 7 9 8 7 4 3 5 7 9 9 8 8 8 7 6 7 8 6 5 4 5 6 6 6 5 5 5 5 5 5 6 7 7 6 6 6 5 4 4 5 5 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 4 4 5 7 11 14 11 3 -3 -3 -2 -1 4 10 10 8 7 10 13 8 3 5 -3 -8 -5 0 1 3 4 4 3 4 6 8 10 10 9 10 10 8 6 9 13 13 9 5 4 6 9 11 14 14 8 3 9 11 5 3 5 4 3 5 6 6 7 11 13 12 14 17 14 6 5 12 15 9 2 2 4 7 12 14 13 14 12 7 6 10 10 4 2 6 4 4 8 10 13 18 16 8 6 11 9 5 1 5 8 6 7 7 5 4 4 6 7 8 9 10 11 8 5 4 5 5 5 6 6 6 4 3 3 3 3 4 5 4 4 4 4 3 5 9 10 8 6 7 8 9 9 7 7 6 6 5 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 3 2 2 4 5 6 6 6 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 7 8 8 7 7 7 6 6 6 6 6 6 6 7 6 6 5 5 5 5 6 12 14 10 8 7 6 5 4 5 6 6 7 7 7 7 7 7 6 7 12 19 19 15 10 7 6 5 5 4 3 2 2 1 2 3 4 4 4 5 6 5 5 5 5 6 7 6 5 4 4 6 7 7 7 7 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 7 7 8 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 6 6 7 9 10 8 5 4 5 9 12 11 8 7 8 8 8 9 9 6 4 3 4 6 6 6 5 4 5 5 5 5 6 6 6 7 7 6 5 5 4 5 6 7 7 5 4 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 6 10 11 6 -0 -3 -3 -4 0 8 11 12 10 9 11 11 3 0 -3 -7 -9 -10 -9 -4 -0 3 4 3 3 2 3 5 11 17 19 17 13 7 3 6 12 14 10 4 3 4 6 9 14 14 10 4 4 6 4 4 4 3 3 4 3 3 5 10 9 8 17 22 16 9 5 7 9 5 7 11 14 17 23 22 18 14 9 4 4 5 5 5 8 8 3 7 15 20 25 25 20 12 9 7 5 -0 -1 4 6 5 8 9 6 3 4 7 8 8 9 11 11 7 5 5 5 6 7 7 7 6 4 3 3 3 4 5 5 4 4 4 3 3 7 11 9 4 5 7 8 9 8 7 5 5 4 4 4 4 5 5 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 4 3 2 3 4 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 5 5 6 5 6 6 6 6 6 6 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 5 8 15 15 12 11 9 6 4 4 5 6 6 7 7 7 7 7 7 4 2 5 12 17 15 10 6 5 5 5 4 3 2 2 2 2 3 3 4 5 5 5 6 5 5 5 5 5 5 4 4 4 5 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 8 9 9 9 9 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 7 6 6 6 7 10 11 9 6 4 6 9 11 11 8 7 7 7 9 10 10 7 4 3 4 5 6 6 6 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 6 8 8 6 4 4 5 6 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 6 10 10 6 1 -2 -0 -0 -0 10 15 11 9 9 11 14 14 9 7 6 2 3 1 -1 2 4 5 4 3 2 1 2 5 13 22 23 18 11 5 2 6 9 11 10 7 4 2 4 7 12 12 12 8 4 1 1 5 7 6 6 5 2 3 8 8 3 4 15 21 17 11 7 7 10 10 14 21 26 29 30 21 14 9 5 6 9 8 7 8 9 6 5 10 13 15 18 14 9 6 5 3 2 -1 1 6 7 6 7 8 6 5 6 7 7 8 9 10 10 7 6 6 5 5 7 7 7 6 4 4 4 4 4 5 5 4 4 3 3 5 8 8 3 3 5 6 8 8 7 5 4 4 4 4 3 4 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 6 5 6 6 7 7 7 7 7 6 4 3 3 3 4 6 6 6 6 6 6 7 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 7 7 6 6 6 6 6 6 5 4 5 5 6 7 7 7 7 7 7 7 7 8 9 9 9 9 8 6 5 5 7 8 10 13 13 10 6 5 5 5 5 5 6 6 6 7 8 6 -1 -3 4 13 15 13 9 5 4 4 4 3 3 3 2 2 2 3 3 4 5 6 6 6 5 5 5 4 4 4 4 4 5 5 4 5 6 7 6 6 6 6 6 6 5 5 6 5 5 5 5 5 6 6 5 5 5 5 5 6 5 5 4 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 7 7 7 7 7 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 7 7 6 6 6 6 7 9 10 10 7 6 6 7 8 9 9 7 7 7 8 10 11 9 5 4 4 5 5 6 5 5 4 5 5 5 4 5 6 6 7 7 6 6 5 5 6 8 8 6 4 3 4 5 5 5 6 7 6 6 5 5 5 5 5 5 5 4 5 11 12 6 2 0 1 3 4 5 11 13 8 7 9 13 16 17 13 10 12 14 14 10 9 10 11 8 5 3 1 1 3 7 13 16 16 14 8 3 3 7 8 8 9 9 9 9 6 4 7 9 10 11 9 7 4 5 6 7 7 6 4 5 9 6 3 7 14 15 13 12 10 10 9 12 16 20 26 30 25 14 7 4 5 11 14 12 9 9 10 10 9 8 1 -6 3 0 -3 -0 2 2 2 1 4 9 11 8 6 7 8 7 7 7 7 8 9 10 10 8 7 6 4 5 7 7 6 6 4 4 4 5 5 5 4 4 4 4 5 6 6 4 4 5 4 4 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 9 8 8 8 8 7 6 6 5 6 6 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 5 4 3 4 4 5 5 5 5 6 7 7 6 5 5 5 5 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 8 9 9 9 9 9 7 6 5 5 6 5 11 15 13 9 6 5 5 5 5 6 6 5 6 7 6 1 -7 -7 8 19 18 11 7 4 2 2 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 6 5 5 4 4 4 5 5 5 4 4 5 6 7 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 6 6 6 6 7 8 9 10 9 9 9 9 8 8 8 8 7 8 8 8 7 7 6 6 6 7 7 6 7 7 8 8 9 10 9 8 8 7 7 7 7 8 7 7 7 10 12 10 7 4 4 4 5 5 5 5 4 4 5 5 5 5 5 6 7 6 6 6 6 5 6 7 7 5 3 3 4 5 6 7 7 7 6 6 5 4 4 5 5 5 5 5 5 9 4 -2 -0 2 3 4 4 5 7 11 9 8 15 21 22 20 13 8 9 12 10 10 11 12 11 8 6 3 2 4 7 9 9 8 7 9 7 4 5 7 7 7 7 8 10 12 7 3 3 7 5 9 13 11 6 5 5 6 6 5 5 7 9 7 7 9 13 11 8 10 11 8 6 11 15 13 17 21 15 8 3 2 6 10 10 9 7 7 9 10 7 1 -7 -7 -1 -5 -3 3 5 3 1 3 6 9 10 7 7 9 8 6 7 7 9 9 9 10 10 9 8 5 5 6 7 7 7 5 5 5 5 5 5 4 4 4 4 5 6 5 5 5 6 5 3 5 7 5 3 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 7 7 7 8 8 8 8 7 7 6 6 6 5 6 6 6 5 5 5 6 6 6 6 6 6 7 8 8 8 7 5 4 4 4 5 5 4 4 4 4 5 5 5 4 4 5 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 9 10 9 9 8 7 6 6 6 7 9 14 14 10 8 7 6 6 5 5 5 5 5 5 6 3 -3 -9 -4 8 17 19 14 8 5 3 2 2 3 4 4 4 3 3 3 4 5 6 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 4 4 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 9 9 9 9 9 9 8 6 7 7 7 7 7 9 11 11 8 5 4 4 4 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 6 5 4 3 4 5 7 8 7 7 7 6 6 5 4 4 5 5 6 6 6 5 3 -2 -2 2 4 4 4 4 4 7 13 13 14 23 31 29 20 12 9 10 10 7 7 9 9 8 8 7 5 5 8 9 7 4 4 5 9 9 6 6 5 6 8 10 11 11 7 3 1 -0 4 4 5 8 8 7 7 7 8 6 5 6 7 8 8 7 8 11 8 6 9 9 5 5 11 13 9 8 11 9 3 1 3 6 6 5 4 2 2 3 3 1 -1 3 13 8 4 5 4 4 2 0 4 7 8 9 8 10 12 9 6 7 9 10 9 9 10 10 10 8 5 6 7 7 7 6 4 4 4 5 5 5 5 4 4 5 6 5 4 4 5 5 5 6 10 7 1 1 4 6 6 6 6 6 6 6 6 5 5 4 4 4 5 6 6 7 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 8 7 5 4 4 5 5 4 3 2 2 3 4 4 3 4 4 5 6 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 6 6 5 6 6 6 7 8 9 9 9 8 8 7 6 6 6 6 8 10 10 8 8 7 7 7 6 6 5 5 5 5 5 3 -2 -4 1 6 10 15 15 12 9 6 4 3 3 5 5 5 5 4 4 4 5 6 6 7 6 6 6 6 6 5 5 4 4 5 5 5 6 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 9 9 10 10 10 8 7 7 7 7 7 7 9 11 11 9 6 4 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 5 6 6 7 7 5 3 2 3 6 8 8 8 7 7 7 6 5 5 4 5 5 5 5 6 6 5 3 3 4 4 5 5 4 4 4 8 12 13 15 22 29 29 23 15 10 9 8 5 4 5 7 9 11 11 9 8 10 9 5 3 3 7 12 11 8 7 5 8 10 11 10 10 6 2 -0 -2 1 3 3 4 7 8 7 7 8 8 7 9 9 7 6 7 12 11 6 5 8 6 4 6 8 8 9 14 10 1 -3 1 6 4 1 3 5 2 2 2 2 0 3 17 25 17 11 4 0 1 -0 1 5 8 8 9 11 14 14 10 8 9 10 10 10 10 10 11 9 6 6 6 7 7 6 4 3 3 4 5 5 6 6 5 5 6 6 4 3 4 5 6 6 8 9 5 -0 3 7 6 5 5 6 6 6 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 6 7 7 5 5 5 6 6 5 4 2 1 2 2 2 3 4 4 5 6 7 7 7 7 7 7 6 6 6 6 6 6 5 6 6 6 5 5 6 6 7 8 8 7 6 6 7 6 6 6 7 7 8 9 8 8 7 7 6 5 6 6 5 3 5 8 8 8 7 7 7 7 6 6 6 6 5 6 5 4 4 6 5 6 10 13 14 13 10 8 5 5 6 7 6 5 4 4 5 5 6 6 7 6 6 6 6 6 5 4 4 4 4 4 5 5 6 6 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 12 13 15 17 17 17 16 15 11 9 7 15 27 24 17 14 15 9 2 5 6 6 9 13 18 21 17 13 13 12 9 7 6 7 9 9 11 12 10 9 8 9 11 11 11 14 18 21 24 25 24 22 19 14 13 11 9 9 9 10 12 13 13 16 18 19 19 20 20 18 14 15 18 17 15 14 13 11 11 11 11 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 9 9 8 9 9 9 8 8 9 10 10 10 10 10 11 12 13 13 13 13 14 16 16 16 15 13 13 13 14 15 15 14 14 14 13 13 14 15 16 17 18 18 18 16 13 11 12 14 15 16 18 21 22 21 17 13 10 10 9 8 8 9 10 10 10 10 12 13 14 16 17 17 16 14 13 14 15 14 13 13 14 14 15 17 20 24 23 20 20 21 20 19 18 18 16 12 9 9 9 11 13 16 16 14 13 14 14 14 13 12 11 11 11 12 12 11 11 12 13 14 12 12 12 12 12 13 13 13 13 12 11 9 10 11 12 13 13 13 12 13 13 12 13 13 13 14 14 14 12 12 12 13 13 12 11 10 11 12 13 12 12 12 12 12 12 12 13 14 13 13 12 11 11 11 10 10 10 10 8 8 8 8 8 9 9 9 10 14 16 15 13 11 11 11 12 12 12 12 9 7 3 1 3 2 6 11 14 15 14 14 11 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 13 14 16 17 15 13 10 10 10 10 10 11 11 10 10 11 10 11 10 9 9 9 10 11 11 12 12 11 11 12 12 12 12 13 13 13 15 16 15 12 13 19 18 12 8 4 1 1 8 13 14 14 14 15 17 19 19 18 18 19 22 27 29 28 28 26 23 21 17 13 10 8 7 7 11 14 14 12 10 9 9 11 13 13 13 12 12 11 9 10 10 10 10 9 8 8 8 7 7 9 11 10 11 11 12 13 15 17 16 14 12 12 12 13 12 12 14 14 13 11 11 12 16 17 14 13 14 16 14 12 11 11 11 12 13 13 13 13 12 12 11 10 10 11 11 10 10 11 11 11 11 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 5 7 6 4 16 23 21 18 18 18 15 6 -0 3 4 5 9 16 18 13 13 14 12 9 7 7 7 9 10 12 12 11 10 11 12 15 16 17 19 23 25 24 23 21 17 13 12 11 11 12 12 12 13 15 17 18 19 19 18 17 16 14 13 11 10 10 11 11 9 8 8 8 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 10 9 9 10 9 8 7 7 8 9 10 10 11 11 12 12 14 15 13 12 12 12 13 14 15 15 17 19 19 19 19 20 21 22 22 21 19 18 16 15 13 12 13 15 16 19 22 21 18 14 11 11 12 11 8 7 8 8 9 9 9 10 11 12 14 15 16 17 16 14 13 13 14 13 13 13 14 13 13 16 21 22 17 14 15 19 22 26 28 27 23 17 14 13 12 12 12 12 12 12 13 14 14 13 11 10 10 11 12 12 12 13 13 14 13 11 10 10 11 11 13 13 13 12 11 10 10 11 12 13 13 12 12 12 12 12 12 11 11 10 9 8 9 11 12 11 11 10 10 9 8 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 8 8 9 9 9 9 10 11 13 14 14 13 11 11 11 11 11 10 8 5 3 -1 1 8 14 15 14 13 12 12 11 9 8 9 10 10 11 11 12 12 11 11 11 11 10 10 10 11 13 15 16 17 15 12 11 10 9 9 10 10 10 10 11 11 12 12 11 9 7 8 9 10 11 11 11 12 12 11 11 11 12 12 12 13 14 15 15 15 14 15 12 7 4 4 7 9 12 15 13 13 13 15 17 19 20 19 19 22 26 30 30 30 32 28 21 16 11 11 9 7 6 5 10 14 17 16 14 12 12 11 11 11 12 13 13 13 11 11 10 10 11 11 11 10 7 7 10 11 12 12 14 13 12 13 15 16 16 13 10 11 14 17 18 17 16 14 13 12 12 11 11 11 10 10 13 14 12 11 12 13 13 13 13 12 12 11 11 11 11 11 12 11 11 11 10 11 11 11 11 11 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 15 17 22 21 4 -1 7 7 5 9 14 14 10 14 14 11 9 7 7 8 10 12 13 13 13 13 14 16 18 20 21 22 22 21 18 16 13 11 9 10 11 12 14 16 18 19 20 21 22 20 16 13 10 8 8 11 11 8 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 9 8 9 9 9 8 7 8 9 10 10 10 10 10 10 9 8 8 8 7 7 8 9 10 11 10 11 11 9 9 10 11 12 12 13 13 16 17 17 18 19 21 21 21 20 20 19 18 18 18 17 16 16 15 15 17 19 18 15 12 10 12 14 14 12 11 10 10 11 12 12 12 11 11 12 13 13 15 16 15 13 12 13 13 13 13 13 12 10 10 14 19 20 20 19 16 14 16 22 29 31 29 25 21 16 13 12 11 11 12 12 13 12 11 11 12 11 11 12 12 14 15 16 16 13 11 10 11 11 12 13 13 13 12 12 12 12 12 13 13 11 10 11 12 12 12 11 12 11 10 9 9 9 10 11 11 10 10 10 10 9 9 9 9 9 9 9 11 13 14 13 12 11 11 12 12 11 11 11 11 11 10 10 10 9 8 9 9 9 10 11 11 12 13 13 12 12 12 12 11 9 6 2 1 4 5 9 14 16 15 12 11 11 11 10 9 8 9 10 11 12 13 14 13 13 12 11 9 9 11 11 13 14 15 16 15 15 13 11 10 10 10 10 10 9 10 10 11 12 11 10 8 8 9 9 10 11 11 11 11 11 11 12 12 12 11 12 13 15 16 16 15 14 11 8 6 7 10 12 13 13 13 13 13 13 15 17 20 20 20 21 23 28 33 33 29 27 24 20 15 13 12 9 8 5 6 10 14 18 17 16 15 13 12 11 10 9 10 11 12 12 13 12 12 13 14 14 13 12 11 10 10 10 10 10 12 12 12 13 14 13 12 12 13 13 13 15 16 15 14 13 13 13 13 12 11 7 10 14 14 14 14 15 15 13 11 11 11 11 11 11 11 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 11 13 13 10 10 13 13 11 8 7 7 9 10 12 13 14 16 17 19 20 21 21 20 17 16 13 11 11 10 9 8 9 11 14 18 20 22 23 22 20 16 12 9 5 4 6 8 11 11 7 7 8 7 7 8 8 8 8 8 9 10 10 9 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 9 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 8 8 8 9 10 10 10 10 9 10 11 11 11 11 11 11 12 12 12 12 13 14 16 18 20 20 19 16 16 17 17 18 18 16 12 8 11 13 14 13 13 13 13 13 14 15 14 12 11 11 11 11 11 13 14 13 12 12 12 13 12 11 13 12 9 8 10 13 16 18 16 13 13 14 16 20 24 26 26 22 18 15 13 12 12 12 12 12 11 11 13 14 15 14 15 15 16 18 17 14 13 12 12 12 12 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 10 11 11 12 13 11 10 10 10 11 11 11 10 10 11 12 13 13 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 12 12 14 14 14 11 7 4 3 5 7 9 11 13 14 14 13 11 10 10 11 11 10 10 11 11 12 12 14 15 15 13 11 10 8 8 10 12 14 13 14 15 14 13 12 11 11 11 10 9 8 9 10 11 11 11 10 9 9 9 9 10 11 11 11 11 11 12 11 12 13 12 12 12 15 18 17 14 11 11 11 10 9 10 12 13 12 12 12 13 14 14 15 17 19 20 21 22 22 26 31 34 31 23 21 18 15 14 13 10 8 4 4 8 14 17 17 16 15 13 13 11 9 10 11 12 14 15 14 14 14 13 13 12 12 13 12 12 12 11 9 8 11 12 13 13 12 11 11 12 11 10 8 9 11 13 12 12 15 16 17 16 15 12 12 14 16 17 17 17 15 13 11 11 11 12 12 13 12 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 9 8 9 10 11 13 15 18 20 22 22 20 17 14 12 12 11 11 10 10 10 10 13 15 16 18 21 21 19 14 10 6 4 3 2 3 6 9 10 9 7 7 9 8 7 7 7 8 7 8 9 10 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 12 10 9 8 8 9 10 10 11 11 10 10 11 10 9 9 8 8 8 7 6 7 7 8 10 12 14 15 18 19 18 19 20 20 20 18 15 10 7 9 11 11 12 12 13 13 13 15 15 14 12 11 11 9 9 9 11 13 13 13 11 11 11 12 12 13 14 13 13 10 8 10 17 21 16 13 11 10 10 12 16 22 23 21 20 17 15 14 14 13 13 12 12 14 15 17 18 17 17 16 17 16 14 13 12 12 12 14 15 15 14 12 10 10 10 11 12 12 12 12 12 12 11 11 11 10 9 10 10 9 10 9 9 9 11 12 11 10 10 11 13 14 14 12 11 9 9 9 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 11 11 14 15 16 16 15 14 13 13 12 9 6 5 8 13 14 14 11 11 11 12 12 11 11 11 11 11 11 11 11 12 13 14 14 14 12 10 9 7 7 9 11 13 14 13 13 12 12 12 12 11 12 11 9 9 9 8 9 10 10 10 9 10 11 11 11 11 10 10 11 12 12 12 12 13 13 12 11 12 15 17 14 9 7 9 12 11 10 11 12 12 12 11 12 13 14 14 15 16 18 19 20 20 21 25 29 31 30 24 21 17 16 16 13 10 8 5 6 9 14 16 16 14 12 11 10 11 11 12 14 15 15 15 15 14 13 14 13 11 11 11 12 14 17 15 12 12 14 13 11 11 11 12 12 11 11 11 11 12 12 13 11 12 14 16 17 17 17 17 17 15 15 17 18 17 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 39 40 39 36 32 28 22 15 11 10 11 11 13 13 13 13 13 12 10 8 8 8 8 8 7 7 6 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 6 4 1 1 1 2 2 3 5 5 6 6 6 7 8 8 8 8 7 8 8 8 8 7 7 6 5 5 7 8 8 6 5 5 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 5 8 9 7 1 0 3 31 79 92 72 42 14 17 45 72 78 73 59 34 27 23 18 12 8 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 1 13 37 77 120 144 158 171 172 167 160 163 158 153 139 127 130 140 136 119 103 84 61 39 26 26 35 44 52 55 53 52 54 59 65 72 83 90 91 90 92 102 110 116 115 114 119 129 135 131 125 122 120 117 116 113 109 103 95 86 67 39 18 9 7 7 8 9 10 8 6 5 6 9 13 18 23 31 42 52 59 62 62 60 59 60 61 59 49 35 33 50 69 74 66 55 51 50 54 39 18 7 10 16 26 35 41 30 14 3 0 0 1 1 18 40 48 46 42 38 36 51 72 92 114 133 133 107 70 46 39 42 41 35 37 55 75 82 82 80 73 68 68 71 74 77 76 81 98 107 119 129 133 140 144 148 141 138 142 149 156 163 165 162 158 155 158 160 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 38 38 40 39 38 34 27 20 13 11 10 11 12 12 13 14 14 13 12 10 8 8 8 7 7 6 6 5 4 4 4 4 4 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 5 6 7 7 6 5 2 1 1 2 2 3 4 5 6 6 6 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 9 9 7 6 5 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 23 20 11 3 1 2 2 8 37 62 49 30 13 0 3 16 35 45 47 36 8 4 2 1 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 2 13 30 63 104 132 152 166 162 138 136 155 154 150 133 118 122 134 138 125 108 91 69 44 25 18 25 36 45 48 45 45 48 53 57 64 71 77 80 81 83 94 104 111 113 110 111 120 125 124 121 118 113 107 102 100 100 101 99 94 83 66 48 33 24 20 18 16 17 18 17 16 18 20 25 31 39 49 60 66 66 63 57 55 57 64 73 77 78 70 63 74 87 92 89 81 76 61 54 34 21 3 2 3 2 12 35 36 41 37 17 3 2 0 4 22 44 54 45 32 24 27 48 76 102 126 142 139 116 91 76 70 62 57 66 80 89 94 95 94 88 85 88 97 108 118 119 120 126 129 136 141 141 147 146 136 133 136 137 137 151 157 156 152 147 145 146 146 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 40 39 37 37 38 38 36 32 26 18 13 10 10 11 12 13 14 14 14 13 12 10 9 8 8 8 7 6 6 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 7 7 7 7 4 3 2 2 2 2 3 4 5 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 7 5 4 5 6 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 2 11 30 46 38 20 14 15 15 8 8 19 19 6 0 0 0 0 0 3 11 15 11 1 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 9 24 50 85 115 134 149 144 108 117 144 143 138 126 112 113 121 134 126 110 95 75 51 28 13 14 24 34 36 34 35 40 47 52 58 63 69 73 75 76 79 87 97 103 104 103 109 112 111 110 109 106 100 94 89 88 91 94 92 86 76 64 52 42 36 33 32 32 32 32 31 31 33 37 44 51 58 65 67 64 59 54 53 60 73 83 90 98 100 99 101 104 103 102 96 84 66 56 44 37 19 8 3 0 1 21 38 60 68 49 20 7 2 0 8 25 45 44 25 18 22 39 64 89 112 129 139 137 126 109 94 87 88 99 110 117 115 112 110 103 97 101 107 112 124 133 131 136 136 139 140 137 137 130 125 129 134 133 132 139 147 148 144 137 134 134 134 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 41 40 37 36 37 38 38 36 31 24 17 12 11 11 11 12 13 14 13 13 13 13 11 10 9 10 10 8 7 6 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 5 4 4 3 3 2 3 3 4 5 5 6 6 7 7 6 6 6 6 7 8 8 7 7 7 7 8 9 9 8 7 6 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 14 30 43 38 28 25 26 22 10 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 40 67 92 113 128 128 112 118 133 135 130 120 110 106 116 125 121 111 96 79 55 32 12 6 12 22 25 22 23 30 40 47 51 56 61 66 70 70 70 72 78 85 89 95 102 103 100 97 93 91 89 86 85 85 87 90 88 85 82 77 66 56 48 45 46 47 48 49 47 44 42 44 49 52 57 60 62 60 56 53 54 65 79 87 98 104 109 117 120 118 109 99 86 75 64 57 52 46 35 21 9 2 2 16 39 55 64 64 52 26 6 1 2 9 26 42 40 31 37 47 59 77 94 109 119 128 135 134 124 118 121 130 138 139 133 128 126 116 106 102 101 104 113 124 128 133 137 141 140 133 128 122 123 128 131 130 130 134 137 136 130 122 117 117 119 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 39 40 38 37 38 38 38 38 33 27 22 16 12 10 10 11 12 12 12 11 12 13 13 12 12 12 13 10 9 8 7 6 5 4 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 4 4 4 4 5 4 4 4 4 3 3 3 4 5 5 5 6 6 7 6 5 5 5 6 7 7 8 7 7 7 8 8 8 8 8 7 6 5 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 18 26 30 32 29 25 25 25 19 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 30 49 62 89 110 111 106 107 114 118 118 116 110 104 106 109 112 109 95 77 51 29 13 3 4 13 18 17 18 25 35 42 46 50 54 59 64 66 67 68 68 72 79 88 94 95 89 83 76 70 70 73 78 85 93 96 94 92 92 90 82 71 61 54 52 52 52 53 52 49 44 43 44 46 51 58 60 57 52 50 52 58 71 87 105 111 108 109 111 111 104 92 75 64 61 60 55 48 42 33 17 5 3 10 24 38 51 70 77 45 17 10 8 7 19 50 54 47 53 50 50 62 74 86 95 106 122 131 136 142 149 154 154 149 143 135 129 120 109 101 96 95 99 108 118 126 133 142 142 133 126 120 121 123 124 126 127 129 129 126 118 107 101 100 100 99 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 37 38 39 38 38 38 36 36 32 27 24 22 18 14 11 10 11 12 11 11 11 12 13 13 12 13 13 12 12 11 9 7 6 5 3 3 3 3 4 4 5 5 6 5 5 5 6 6 6 6 6 6 6 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 8 8 8 7 6 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 20 26 22 22 32 35 30 29 28 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 17 30 37 58 86 90 84 84 88 91 95 99 97 89 83 81 84 87 87 70 42 22 10 2 2 7 14 19 23 30 37 41 43 44 48 52 57 61 66 68 68 70 74 78 81 87 79 70 60 54 53 55 61 72 88 99 102 101 100 95 89 81 72 64 59 54 50 47 44 42 40 39 38 43 48 54 53 50 46 46 47 49 57 78 108 117 105 93 88 84 84 80 67 56 51 50 45 37 32 29 23 14 6 4 12 26 44 64 79 60 31 23 19 16 18 43 49 49 52 40 33 42 52 63 76 89 102 114 127 142 152 158 160 155 146 135 127 120 110 101 93 89 91 100 114 128 141 145 140 130 124 119 116 113 114 118 121 124 122 120 110 98 92 87 81 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 36 36 38 39 39 39 36 34 31 29 25 24 24 23 19 14 11 12 12 11 11 11 11 12 12 12 14 14 14 13 12 11 10 9 7 6 4 4 3 4 4 5 6 5 5 5 4 5 5 5 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 6 6 6 5 5 5 4 4 6 6 5 5 5 5 6 7 7 7 7 7 7 7 8 8 8 7 5 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 12 27 45 47 34 31 44 51 47 45 36 17 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 20 34 57 65 62 62 64 65 67 67 60 52 46 43 43 46 49 44 32 16 5 1 0 2 9 21 32 41 45 44 40 37 37 41 47 55 63 69 71 74 81 87 88 80 69 58 51 45 39 36 39 50 68 84 93 96 95 90 85 80 75 71 70 68 61 53 46 42 43 46 47 49 48 46 41 39 40 43 46 47 53 73 105 115 98 79 67 60 60 59 48 36 33 31 26 20 16 15 16 18 14 4 5 18 39 48 47 29 22 25 23 21 22 28 33 40 37 25 17 20 28 38 53 73 89 102 114 129 141 150 156 159 153 140 129 123 114 106 101 95 94 100 115 128 137 137 130 123 120 116 106 101 109 108 111 113 112 112 102 92 86 79 68 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 33 36 37 38 39 38 36 32 28 24 21 20 21 21 19 15 12 12 12 12 12 12 11 11 12 13 14 15 14 13 13 13 13 12 10 8 6 5 4 4 5 6 5 5 5 4 4 3 4 4 5 5 6 5 5 6 6 6 6 4 4 3 3 3 3 3 3 3 3 2 3 4 6 6 6 6 6 4 3 4 4 3 2 2 4 4 4 5 7 7 7 7 7 7 7 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 18 28 37 40 37 44 56 60 59 51 34 13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 18 31 38 42 45 44 41 39 32 22 16 13 11 12 12 12 15 16 8 2 0 0 0 5 16 29 41 46 44 38 32 30 31 35 45 56 66 72 79 89 97 90 80 66 55 49 40 29 22 23 29 40 52 62 68 71 71 69 67 66 66 69 73 73 67 62 59 61 63 61 57 50 42 36 32 31 35 42 52 63 82 106 109 87 64 50 42 41 37 26 16 15 15 13 10 8 6 5 9 15 6 3 11 26 30 27 25 22 28 31 32 32 32 34 31 23 13 6 5 7 13 25 46 69 88 101 110 118 126 136 148 154 147 137 131 123 114 114 110 103 104 111 117 115 117 116 111 111 108 96 95 101 100 100 99 97 93 86 79 75 69 60 45 35 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 23 29 31 33 35 35 36 34 29 22 18 16 15 15 14 13 12 12 12 12 12 11 11 11 12 12 13 14 14 14 14 14 14 13 12 12 10 7 6 6 6 6 5 4 4 4 3 2 2 3 3 4 5 5 5 5 5 6 6 6 5 4 4 3 3 3 3 3 3 2 2 3 4 6 6 6 6 5 3 3 3 2 1 0 2 3 4 4 6 6 6 7 7 6 7 7 6 6 7 6 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 16 14 15 25 46 60 61 57 47 32 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 17 22 29 27 20 18 14 8 3 1 1 0 0 0 1 3 2 0 0 0 0 2 8 18 28 34 36 35 32 29 25 26 35 47 58 68 79 95 110 105 90 72 60 54 40 26 18 15 14 17 24 29 35 38 42 44 45 46 50 55 61 66 68 69 73 76 73 66 59 49 39 28 18 17 25 42 65 84 103 116 101 73 48 34 29 27 20 11 6 6 7 8 8 8 6 2 0 6 9 6 7 11 11 8 9 18 26 33 39 43 44 40 30 18 9 3 1 1 2 6 17 36 58 76 86 90 95 102 113 130 139 132 128 122 116 116 116 107 103 101 96 93 96 95 89 84 83 87 92 94 93 90 85 77 70 64 60 58 55 49 39 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 15 19 23 26 29 32 35 36 34 27 21 16 13 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 14 15 15 15 14 14 14 15 16 13 9 8 8 8 6 4 4 4 3 2 1 1 2 2 2 3 3 3 4 5 6 6 6 5 4 3 3 3 3 3 3 3 3 2 3 4 6 6 6 5 4 4 3 2 1 1 2 4 4 4 5 5 6 6 6 6 6 6 6 6 7 7 5 4 4 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 6 8 2 0 6 6 3 6 18 38 51 53 46 28 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 8 14 10 5 4 7 5 1 0 0 0 0 0 0 0 0 2 3 1 0 0 3 8 14 18 22 25 29 26 21 21 30 42 53 61 71 90 117 126 111 90 76 65 47 30 21 17 11 5 6 11 15 18 21 24 27 29 33 37 43 48 54 60 66 70 67 61 56 45 27 9 2 7 21 44 72 94 107 104 81 56 36 24 18 14 7 2 2 2 3 4 6 8 7 3 1 5 13 13 5 2 1 0 1 5 12 19 30 42 46 40 28 17 9 3 0 0 0 0 3 10 24 42 58 62 66 71 75 85 92 99 100 95 93 94 93 89 83 77 69 65 65 63 58 56 61 73 82 85 83 78 71 61 52 45 40 37 35 32 27 21 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 10 11 13 16 20 24 28 32 35 36 33 27 19 14 12 10 10 11 11 10 10 10 12 13 13 12 11 11 12 13 14 14 15 15 15 15 16 19 19 14 9 8 8 7 5 4 4 3 2 1 0 1 1 1 2 2 2 2 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 5 6 6 6 4 4 4 3 2 2 4 5 3 1 1 3 5 6 6 6 6 6 6 6 7 7 5 4 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 19 21 11 2 1 1 0 2 5 14 25 36 31 14 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 1 4 2 0 0 1 1 0 0 0 0 0 0 0 0 2 8 12 12 11 5 3 4 7 9 11 16 18 17 15 16 23 37 51 61 64 75 107 134 133 118 104 86 63 42 30 25 19 10 3 3 8 10 12 14 16 19 22 26 30 34 40 45 48 50 52 55 54 36 14 2 1 5 16 33 56 72 75 65 51 36 25 17 10 6 2 1 1 1 1 1 3 6 6 5 4 6 15 19 12 3 0 0 0 2 4 8 16 24 31 30 22 13 7 2 1 0 0 0 0 2 9 19 31 37 42 46 48 49 52 55 56 54 51 51 51 50 47 41 34 30 33 33 32 33 41 52 61 66 65 61 56 47 37 28 23 19 16 15 13 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 7 8 9 12 16 21 24 28 31 34 34 31 25 18 15 12 11 10 10 10 11 11 13 14 14 13 12 12 12 12 13 14 14 14 15 16 16 18 19 17 13 10 9 8 5 4 4 3 2 1 1 0 0 0 1 1 1 1 2 2 3 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 5 6 6 5 4 4 4 4 4 5 6 3 0 0 2 4 6 6 6 6 6 6 6 6 6 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 17 24 21 9 1 0 0 0 0 2 11 21 18 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 22 25 24 18 12 8 6 4 5 11 13 12 10 10 14 27 44 62 68 69 88 120 136 134 126 113 92 68 46 31 24 19 15 12 11 10 10 10 11 13 16 19 23 29 34 35 34 34 39 50 46 21 3 0 0 2 7 14 23 31 31 25 21 16 12 7 3 2 1 2 3 3 3 2 2 3 6 7 9 11 16 21 18 8 0 0 0 0 2 3 6 9 13 15 10 5 2 1 0 0 0 0 0 1 5 9 14 18 22 26 26 25 26 27 27 27 25 22 24 23 22 20 18 16 19 20 20 21 24 29 38 42 42 42 38 32 24 16 12 9 8 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 7 9 13 17 20 23 25 28 32 32 30 24 19 15 13 11 10 11 12 13 14 14 14 14 13 12 12 12 13 13 13 13 14 14 15 17 19 19 17 15 13 9 6 4 4 3 2 2 1 1 0 0 0 0 1 1 1 1 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 6 6 4 4 4 4 5 5 6 3 1 0 0 3 5 6 6 6 6 6 6 6 6 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 32 21 4 0 0 0 0 0 0 5 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 2 4 19 28 32 34 29 22 15 10 8 9 10 10 9 10 11 15 24 41 62 78 81 81 94 113 121 127 132 125 102 66 36 22 20 21 21 20 18 16 15 14 14 14 15 18 26 32 30 26 27 36 46 32 6 0 0 0 0 1 3 4 6 6 4 3 3 2 0 0 1 2 6 10 12 11 8 6 7 9 12 15 18 20 21 18 8 0 0 0 0 0 1 2 2 1 3 2 0 0 0 0 0 0 0 0 0 1 2 5 7 10 12 13 13 15 16 16 16 16 18 19 19 18 17 17 18 17 16 15 14 16 19 22 25 26 27 25 20 15 10 7 6 6 6 6 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 6 7 7 10 13 16 18 20 23 27 31 33 30 24 19 15 12 10 12 13 14 13 12 13 14 14 13 13 13 14 14 13 11 11 12 13 14 15 16 17 18 16 12 8 6 4 3 2 2 2 2 1 0 0 0 0 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 3 4 4 5 5 4 3 1 0 3 6 6 6 6 6 6 6 6 6 5 6 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 21 16 2 0 0 0 0 0 0 2 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 1 3 1 0 5 18 18 17 19 16 16 28 34 38 38 33 28 23 22 22 21 18 13 13 15 18 23 32 45 68 94 100 87 78 83 94 110 129 138 120 75 34 18 19 24 27 26 23 20 18 16 15 15 16 17 20 25 24 24 28 38 41 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 10 16 19 19 17 15 16 17 17 17 19 21 22 19 7 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 6 6 6 7 7 8 10 12 15 16 16 16 15 14 13 11 10 10 11 13 14 15 17 19 20 18 13 8 4 4 4 5 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 6 7 7 7 8 10 14 15 15 17 21 26 32 33 29 23 19 15 12 11 12 12 12 12 13 15 16 15 15 15 15 14 13 11 9 9 10 11 12 12 14 16 15 14 10 7 5 3 3 3 3 2 2 1 0 0 0 0 0 1 1 1 1 1 2 2 3 3 2 2 2 3 3 3 3 3 3 3 4 5 6 5 5 4 4 5 6 6 5 3 2 5 7 7 7 7 7 6 6 6 6 5 6 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 2 4 2 0 0 0 0 0 0 0 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 1 3 1 2 4 3 0 0 5 23 36 42 47 50 50 46 44 44 44 38 30 27 29 35 35 29 23 21 19 17 21 29 46 76 103 105 98 96 92 91 102 117 122 101 58 26 18 22 26 27 23 16 11 9 8 7 9 12 15 16 17 18 25 32 38 32 11 1 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 13 19 26 28 25 22 21 21 21 22 23 22 22 22 19 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 4 5 7 10 11 11 10 9 8 6 6 6 6 6 7 8 11 14 16 16 11 7 4 3 2 3 2 1 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 10 9 9 9 8 8 11 13 13 10 10 14 18 24 28 29 25 22 18 14 12 11 10 10 11 14 18 18 16 16 16 16 16 14 12 10 8 9 10 10 11 13 13 13 13 12 8 5 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 2 3 4 6 6 6 6 5 5 7 8 8 7 4 4 4 4 5 6 7 4 2 6 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 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 1 2 4 4 3 2 0 0 5 17 30 45 61 71 74 62 51 46 48 46 36 32 34 41 44 40 34 31 22 13 11 16 33 62 78 81 102 127 120 103 102 107 97 63 28 15 21 29 30 23 12 5 2 1 0 1 2 3 8 11 12 16 26 32 31 22 8 1 0 0 0 0 0 0 0 0 0 0 0 0 2 9 20 28 36 43 45 44 38 33 32 31 32 34 35 32 28 26 19 12 8 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 1 2 4 6 6 5 5 4 4 3 3 3 3 3 4 7 10 13 12 9 7 4 3 1 1 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 12 12 12 12 12 11 13 14 13 10 7 9 12 16 21 25 25 24 21 17 13 12 11 11 10 13 18 20 18 17 18 18 18 17 15 12 9 9 10 10 11 11 12 12 12 12 8 5 3 3 4 4 3 3 3 2 2 2 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 2 2 2 2 2 4 5 5 6 6 6 6 6 6 7 7 5 4 2 1 1 1 1 1 0 3 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 8 21 36 55 68 72 62 50 43 44 52 51 46 46 50 51 48 43 38 27 14 8 8 16 32 46 68 109 134 116 90 82 80 58 22 6 8 20 30 27 14 2 0 0 0 0 0 0 0 1 4 8 14 22 23 19 11 4 1 0 0 0 0 0 0 0 0 0 0 0 1 3 9 21 36 48 58 62 62 59 54 51 49 51 51 49 45 40 35 25 16 11 10 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 1 2 3 3 3 3 3 2 2 2 1 1 2 4 5 7 10 10 8 6 5 3 1 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 12 13 14 14 15 15 15 15 15 13 11 11 11 12 16 21 23 24 22 18 14 13 13 12 11 12 16 21 22 21 20 20 20 19 16 13 10 10 10 9 9 10 10 12 12 12 10 7 5 3 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 4 5 5 6 6 6 5 5 5 6 6 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 30 48 60 57 48 41 37 37 43 53 60 59 60 59 54 48 42 32 21 14 9 9 15 32 67 104 101 67 44 40 38 21 1 0 3 10 18 14 4 0 0 0 0 0 0 0 0 0 1 4 8 10 10 7 3 1 0 0 0 0 0 0 0 0 0 0 2 4 4 6 10 16 28 40 49 59 68 73 75 74 71 72 71 67 60 55 50 38 22 13 11 11 10 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 1 2 2 2 2 2 2 3 3 3 1 2 5 7 6 7 9 8 7 5 4 2 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 11 11 12 13 14 15 15 15 17 19 17 14 11 11 14 18 20 22 20 16 13 12 14 15 14 13 15 19 22 23 22 20 21 19 15 13 13 14 13 12 11 10 10 11 12 13 12 9 6 5 4 4 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 5 5 6 6 6 5 5 6 6 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 25 43 55 50 39 35 32 29 29 36 49 57 60 62 57 50 43 35 27 20 16 13 15 25 45 57 46 28 15 10 9 4 0 0 0 2 3 3 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 3 6 8 8 10 14 19 25 32 43 55 65 74 85 89 89 88 85 79 72 66 60 48 32 18 11 9 10 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 1 1 1 1 1 2 3 4 3 2 3 4 6 7 8 8 8 6 4 2 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 8 9 9 10 12 12 13 14 16 18 18 17 13 14 15 17 17 18 17 13 11 11 13 14 15 15 16 16 20 23 22 19 19 17 15 15 17 17 17 16 14 12 10 10 11 12 12 10 7 5 4 4 3 3 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 5 5 5 5 4 4 5 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 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 6 15 28 43 47 41 35 29 19 12 15 28 41 50 54 52 47 41 35 29 24 21 19 16 15 16 14 14 10 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 3 6 10 13 14 13 11 12 14 18 24 31 41 50 58 66 78 89 97 99 95 85 73 65 60 51 38 23 13 7 6 7 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 1 0 1 2 5 8 8 6 4 2 1 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 3 6 7 8 9 8 9 11 13 16 18 18 17 18 19 19 16 15 14 11 10 9 11 13 16 18 17 15 15 18 20 18 18 17 15 14 16 18 20 20 18 15 12 9 9 11 11 10 7 6 4 3 1 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 1 1 2 3 3 4 4 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 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 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 1 0 0 0 0 0 1 3 7 10 9 6 9 20 30 36 32 23 10 3 4 14 27 38 43 43 38 32 28 26 23 22 22 17 9 5 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 22 25 24 18 13 11 12 14 20 29 38 46 54 61 69 81 93 102 100 88 71 60 52 46 38 27 14 4 2 3 4 2 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 1 1 1 0 0 0 0 2 4 5 3 2 1 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 1 3 6 7 7 6 6 7 8 10 12 15 17 19 21 21 18 14 13 11 9 9 10 12 15 18 18 15 12 13 16 17 17 16 15 14 14 15 19 21 20 17 13 10 8 9 10 9 7 5 4 2 1 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 1 0 0 0 0 0 0 1 1 2 2 2 2 3 4 4 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 2 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 3 8 0 0 1 7 12 17 18 17 13 5 2 4 9 15 19 13 4 0 0 7 19 28 32 31 26 21 17 17 18 18 18 16 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 23 27 24 18 12 10 10 13 19 29 36 44 55 63 69 77 87 96 98 91 73 59 48 39 32 26 16 4 1 1 1 1 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 1 1 1 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 1 3 6 7 6 6 5 6 5 5 7 9 12 16 19 20 18 14 11 10 10 10 11 12 15 18 18 16 11 9 12 14 15 15 14 14 13 13 15 17 18 16 13 10 8 7 7 7 6 5 5 4 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 1 1 0 0 0 1 1 1 2 2 2 3 3 4 4 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 5 6 8 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 12 2 1 7 13 15 15 15 14 11 4 1 0 2 4 3 1 0 0 3 10 17 19 17 14 11 8 8 9 10 11 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 17 16 11 7 6 6 9 15 24 33 41 54 66 74 83 92 98 100 94 82 68 54 39 29 24 18 9 2 0 0 1 1 2 3 3 3 3 3 3 2 2 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 4 5 6 7 6 6 5 5 5 5 5 6 8 12 18 19 17 13 10 10 11 11 12 13 15 17 18 16 12 8 7 9 10 10 10 12 11 11 12 14 16 15 12 9 8 6 5 5 4 4 4 4 3 2 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 1 1 2 2 1 0 0 0 1 1 1 2 2 2 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 7 10 12 13 13 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 15 6 1 4 10 11 11 11 12 11 7 2 0 0 0 0 0 0 0 1 2 5 6 6 4 2 2 2 2 3 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 2 1 2 4 8 16 25 34 49 63 73 84 96 104 106 103 94 81 65 48 34 27 22 15 7 3 1 1 2 5 10 15 15 12 9 9 8 8 7 6 5 5 4 5 5 5 6 6 6 6 6 5 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 11 10 10 9 8 7 6 6 6 5 5 5 5 5 6 11 18 19 18 16 13 11 11 11 11 12 13 14 16 16 12 7 5 6 7 7 7 9 10 10 12 14 16 16 13 10 8 7 5 4 4 4 4 4 4 3 3 3 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 16 18 17 16 12 8 4 1 0 0 0 0 0 0 0 0 0 2 2 2 2 3 3 3 2 2 2 2 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 2 3 4 2 4 7 8 8 7 4 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 22 37 50 60 72 85 94 98 96 91 81 67 53 40 32 28 23 16 12 9 6 6 10 20 30 36 30 22 19 17 17 17 16 14 14 15 14 14 16 17 16 17 17 16 14 13 11 8 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 22 20 19 17 13 9 7 6 6 5 5 5 5 5 6 11 20 22 21 22 23 19 13 10 9 9 10 12 14 14 12 8 6 7 8 6 4 6 8 9 11 12 13 14 13 9 8 7 6 4 4 4 4 4 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 17 20 20 17 14 10 5 1 0 0 0 0 0 0 0 0 1 3 3 3 4 4 3 3 3 2 3 3 3 3 3 3 4 4 3 3 3 2 2 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 3 5 7 7 4 5 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 18 27 36 48 62 71 75 74 70 61 51 44 38 33 31 29 26 25 28 23 16 16 23 34 43 42 34 28 25 22 23 22 20 19 18 17 18 21 25 26 26 26 25 24 24 22 18 17 15 12 9 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 34 31 29 28 26 20 13 9 8 7 6 6 5 5 5 5 9 22 28 26 30 39 37 24 14 8 7 8 9 11 11 11 10 10 11 12 9 6 4 5 7 8 9 8 9 8 7 7 7 6 5 4 4 4 4 5 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 18 20 19 16 12 8 3 0 0 0 0 0 0 0 0 0 1 3 2 3 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 10 9 12 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 12 20 32 43 50 50 45 36 28 25 26 28 29 30 31 36 43 46 34 26 24 28 34 34 30 26 24 23 23 23 20 16 13 12 13 16 21 26 30 31 32 31 32 29 25 26 25 24 23 20 15 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 37 36 34 33 32 27 19 14 11 10 8 7 6 5 5 5 7 22 34 34 40 52 53 40 23 12 8 7 7 8 8 9 10 11 14 16 14 9 6 5 6 6 6 5 4 4 4 5 6 6 6 6 5 5 5 5 6 5 3 2 2 2 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 10 6 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 15 18 19 17 14 9 4 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 14 11 13 17 12 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 1 1 4 10 17 24 28 24 17 11 10 14 20 24 28 36 44 48 50 44 36 29 27 27 25 23 21 20 19 18 18 16 12 9 8 8 10 13 15 20 25 29 30 31 32 31 30 31 32 32 31 27 18 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 39 38 37 37 36 32 25 18 13 12 12 10 7 6 5 5 6 14 31 39 46 57 59 49 37 26 16 10 7 6 6 7 8 9 12 14 14 13 8 7 6 5 5 4 3 2 3 4 5 5 5 6 6 6 6 6 5 5 3 2 2 2 1 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 16 16 9 2 0 0 0 0 0 0 0 0 0 0 1 4 10 13 15 16 16 13 10 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 16 14 15 19 19 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 10 6 4 4 6 12 16 22 35 45 46 42 37 34 30 26 24 22 21 18 16 13 12 13 13 10 9 8 8 8 9 10 11 13 16 19 21 23 25 27 29 31 31 29 25 20 14 8 4 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 36 37 38 39 38 35 29 24 20 19 20 16 9 6 6 5 5 9 22 37 46 50 50 50 47 42 34 23 14 8 6 5 6 8 9 10 12 14 12 9 7 5 4 4 3 3 3 4 5 4 4 4 4 6 8 7 5 4 2 1 1 1 1 1 1 1 1 2 2 2 3 2 2 1 0 0 0 0 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 16 16 10 6 1 0 0 0 0 0 0 0 0 0 0 4 9 11 10 10 10 7 5 6 9 11 7 2 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 16 18 17 22 24 19 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 2 2 1 1 2 5 8 13 24 35 36 32 28 26 23 21 20 20 18 16 13 11 9 9 10 10 9 9 9 8 8 9 9 9 10 11 12 13 14 16 19 21 23 23 20 17 13 9 5 3 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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30 27 26 26 25 25 27 32 40 48 57 62 63 62 64 68 71 73 74 76 82 88 89 88 90 91 82 67 55 50 51 49 43 38 39 44 50 54 54 52 52 52 42 29 23 23 25 30 37 48 57 57 48 36 35 36 38 39 39 37 36 36 37 37 32 21 13 12 12 14 16 17 17 16 16 16 17 18 18 18 17 16 15 14 12 10 5 4 5 6 5 6 6 5 4 4 4 3 3 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 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 5 5 4 4 3 4 5 8 11 11 11 12 14 14 13 9 6 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 4 4 4 4 5 5 5 5 4 4 4 3 2 2 1 1 0 0 0 0 1 1 0 0 1 1 1 2 4 6 7 7 8 8 9 8 8 7 6 4 4 4 4 4 4 2 2 2 2 2 2 4 5 5 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 4 7 3 1 2 4 6 7 7 8 8 8 8 8 7 7 7 7 9 13 17 20 22 21 18 14 13 12 11 11 11 14 16 18 18 17 16 13 12 10 9 10 13 16 16 11 7 6 5 6 6 6 6 6 7 7 7 7 8 8 8 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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