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 8 8 10 11 10 8 6 5 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 4 4 4 5 4 5 4 4 4 4 5 6 6 6 6 6 5 5 4 5 4 5 5 5 4 4 5 4 4 4 4 4 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 4 4 4 5 6 6 5 5 5 5 5 5 6 7 7 7 7 7 6 5 5 6 5 5 5 5 6 7 8 6 3 4 9 9 5 3 5 10 15 5 9 7 3 3 4 1 9 11 6 5 5 3 1 3 6 0 2 7 6 1 2 -0 -3 0 3 8 7 4 5 12 13 6 1 7 10 7 6 3 0 6 9 5 2 5 7 6 5 8 6 -2 -4 -0 5 5 0 -1 3 5 7 14 30 39 30 15 6 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 5 7 8 8 8 8 7 7 8 9 9 10 11 13 14 13 10 7 6 7 6 5 6 6 6 5 5 5 5 5 4 4 6 7 6 5 5 5 5 5 5 5 7 7 3 4 4 4 4 4 3 4 3 4 4 4 4 4 3 3 2 2 3 2 2 2 2 2 2 3 3 2 1 2 3 4 4 4 5 5 5 5 6 8 9 10 10 8 6 4 4 6 8 9 6 4 4 5 5 5 5 5 6 5 6 5 5 4 4 4 5 5 4 4 3 4 3 4 7 16 26 19 7 5 7 6 1 1 -3 -5 -13 -6 1 -2 -1 3 3 2 1 1 1 -4 -9 -8 -6 -6 -4 -1 2 4 5 6 7 8 11 14 16 15 10 10 11 12 10 9 9 9 8 8 8 8 10 16 21 17 11 9 8 5 3 2 1 2 3 3 2 2 2 3 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 nan
nan nan nan nan nan nan nan nan 5 6 6 8 11 12 11 9 7 6 5 5 4 3 2 2 2 2 3 3 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 3 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 3 4 4 4 4 4 5 4 4 4 5 5 5 6 6 6 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 3 4 4 5 5 5 5 5 4 4 4 5 6 6 6 5 5 5 5 5 6 7 8 8 7 7 7 6 6 6 6 5 5 5 5 6 7 6 4 5 10 8 5 4 8 17 11 5 11 7 2 5 7 0 3 6 8 9 9 1 -4 4 9 5 3 2 1 0 7 9 6 5 3 4 7 6 7 11 12 10 10 10 9 10 8 2 3 12 14 8 1 -0 -1 0 4 7 4 -2 -2 2 5 5 5 6 8 11 17 28 37 33 19 7 3 3 3 3 3 3 2 1 2 2 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 5 7 7 7 7 7 7 7 8 8 9 9 9 11 12 11 9 6 4 5 5 4 5 4 5 5 5 5 5 4 3 4 6 6 5 5 5 5 5 5 5 5 5 2 1 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 4 3 2 1 2 3 4 4 4 4 4 5 5 6 8 10 12 13 11 8 5 4 6 8 8 6 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 3 4 5 9 17 23 22 15 12 7 9 12 9 0 -0 -1 2 -0 2 3 4 6 6 5 3 3 2 -2 -2 -3 -3 -2 1 4 4 5 6 6 7 8 9 10 9 8 10 11 11 10 10 12 12 10 7 5 8 12 10 6 3 3 2 2 2 1 0 2 3 3 2 2 2 2 2 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 4 5 8 11 11 11 9 8 7 6 5 4 2 2 1 1 2 3 3 3 4 4 4 4 4 4 3 2 3 2 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 6 5 6 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 6 5 5 5 5 6 6 7 7 8 8 7 6 6 6 6 6 5 5 5 6 7 5 3 4 9 12 5 2 12 21 6 4 7 1 0 6 7 1 0 2 4 8 11 3 -1 7 13 8 3 2 2 4 10 13 12 10 5 4 8 10 13 13 7 9 12 8 5 7 1 -4 4 12 14 10 3 -3 -6 -1 5 5 4 5 5 5 5 6 7 9 11 16 28 38 33 19 8 4 4 4 4 4 4 3 2 2 2 2 2 3 3 4 4 4 4 5 4 4 4 5 5 5 4 5 6 7 7 7 7 7 7 7 7 8 8 8 9 10 10 8 6 4 -0 -3 2 4 4 5 5 5 5 5 5 4 5 6 6 6 5 5 5 5 5 5 4 5 -1 -5 1 3 1 0 2 3 4 4 4 4 4 5 4 4 3 3 3 3 3 2 2 1 2 4 5 5 3 2 3 3 4 4 4 4 4 5 5 6 8 12 15 16 14 10 6 5 5 8 7 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 6 13 19 20 17 8 7 8 5 2 3 4 4 2 3 3 5 6 7 7 5 6 7 4 3 2 2 2 2 3 4 5 5 6 6 6 6 6 7 7 7 8 9 9 11 17 20 16 10 6 7 8 6 3 1 1 1 2 1 0 0 1 2 2 2 3 3 2 1 -0 -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 nan nan nan nan nan nan nan 4 3 2 3 5 8 9 10 10 9 8 7 6 5 4 3 2 2 2 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 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 5 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 6 7 6 5 5 5 5 5 6 6 7 8 8 8 7 6 6 6 6 6 5 5 6 6 5 2 0 3 8 5 2 7 14 8 5 6 5 3 7 5 -1 -1 1 2 8 9 4 4 8 8 3 3 2 2 5 7 9 10 10 6 5 8 10 12 12 12 13 9 4 4 4 -2 -2 6 12 14 9 1 -2 0 4 5 4 5 7 7 5 4 5 6 9 14 24 35 33 19 8 4 3 4 4 4 4 4 3 2 2 2 2 2 3 3 3 4 4 4 5 5 4 5 5 5 5 5 5 5 6 7 7 7 7 7 7 6 7 8 8 8 9 8 7 6 3 -1 -2 3 6 5 5 5 5 5 5 5 4 5 6 6 6 5 5 5 5 5 5 4 6 2 -4 -3 2 2 1 2 3 4 4 4 4 4 5 5 4 4 4 4 5 4 3 2 2 3 5 6 5 4 4 3 3 4 4 4 5 5 5 6 7 10 14 17 17 15 11 7 5 5 7 6 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 3 7 14 16 11 7 5 3 1 3 6 6 5 5 4 6 8 6 5 4 6 5 5 4 5 5 5 4 5 4 4 4 5 5 5 6 6 6 6 6 6 6 7 12 19 24 22 14 9 8 7 5 3 2 1 1 2 2 1 1 1 1 2 2 2 2 3 2 1 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 nan nan nan nan nan nan nan 4 2 1 1 4 5 7 7 8 9 9 9 8 7 6 5 4 3 4 4 4 5 4 4 4 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 3 3 3 3 2 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 4 5 6 7 7 8 8 7 7 7 7 7 6 5 5 5 6 5 2 -1 -5 -2 3 4 5 7 7 7 7 8 3 6 8 3 0 1 4 10 5 1 1 2 1 -1 -1 -2 0 6 5 1 2 7 7 6 5 4 6 7 15 17 9 3 2 2 5 9 8 8 10 5 -0 4 11 8 4 4 6 6 4 3 2 3 4 8 18 29 30 19 8 4 3 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 7 8 8 8 8 7 7 6 4 5 8 7 6 6 5 4 5 5 5 4 5 5 6 5 5 5 5 5 5 5 5 5 4 4 1 -4 -1 6 7 5 4 4 4 4 4 4 4 5 4 5 6 6 6 6 5 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 10 13 17 18 16 12 7 5 6 7 5 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 1 -0 -2 -1 -2 -2 -1 3 9 10 6 4 3 3 6 9 9 6 4 2 5 10 10 8 4 5 6 6 7 7 5 5 5 4 4 4 4 4 5 5 5 6 6 6 7 6 6 7 10 17 22 20 15 10 8 6 4 3 2 1 2 3 3 2 1 1 1 1 1 2 3 3 4 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 nan nan nan 4 4 3 1 1 2 4 4 6 7 7 7 8 8 7 7 7 6 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 4 3 4 4 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 3 3 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 5 5 5 5 4 5 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 5 6 7 8 8 8 8 7 7 7 6 5 6 6 6 5 4 0 -1 1 3 3 6 4 2 9 9 5 2 3 8 7 4 1 7 12 6 2 2 3 1 3 3 1 3 7 7 0 -4 1 7 8 2 -3 3 5 10 10 6 3 2 2 9 13 7 4 7 5 4 11 15 9 6 7 8 6 4 3 2 2 3 9 19 24 17 8 5 4 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 6 6 6 7 7 7 8 7 7 7 6 6 8 11 8 6 6 5 5 5 5 4 5 5 6 5 5 5 5 6 5 5 5 5 5 4 4 3 -0 -1 5 9 8 5 4 3 3 4 4 4 5 6 7 7 8 8 7 5 4 5 5 5 4 4 3 3 4 4 4 4 4 4 5 6 6 7 9 11 14 16 14 12 8 7 8 7 4 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 2 2 0 -2 -4 -6 -5 -6 -7 -4 -0 3 6 5 4 4 4 7 9 9 4 3 4 3 6 14 14 8 4 5 8 8 6 5 4 4 4 3 4 4 4 4 4 4 5 6 7 8 8 7 7 9 13 15 14 12 10 8 6 4 3 2 2 3 4 4 4 2 2 1 0 0 1 3 4 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 nan nan nan nan 8 7 5 2 1 2 3 3 4 5 5 5 6 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 4 4 4 3 3 4 4 5 6 6 6 5 4 4 4 4 4 4 6 7 8 8 8 8 8 7 6 6 5 6 6 5 4 3 3 6 5 2 2 -1 -1 7 4 3 5 3 4 7 6 2 8 11 5 4 8 6 3 8 9 6 5 6 5 4 -0 -0 7 10 -1 -8 2 4 5 2 2 2 5 5 2 5 5 5 7 -2 4 12 13 10 6 8 7 4 4 5 5 4 5 11 20 17 9 5 4 4 4 4 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 3 4 4 4 4 5 5 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 9 8 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 6 6 5 5 5 4 4 4 2 -0 -0 4 7 6 5 4 3 3 3 4 5 6 8 10 10 9 7 4 3 4 4 4 3 3 3 3 4 4 4 4 3 4 6 6 6 7 7 9 11 12 12 11 10 10 9 6 3 3 2 3 3 4 4 4 4 5 5 5 5 5 4 4 4 3 3 2 2 2 2 -0 -3 -4 -5 -3 -4 -2 1 3 4 4 5 4 3 6 7 6 6 4 3 1 5 12 13 10 7 7 8 7 5 4 4 3 2 3 3 3 3 4 4 4 5 7 8 9 9 8 8 8 9 10 10 10 9 8 6 5 3 3 4 5 6 5 5 4 3 2 1 1 1 3 4 5 6 6 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 12 11 8 5 2 3 3 3 3 4 4 4 4 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 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 3 3 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 4 5 5 5 5 4 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 3 3 4 5 5 6 6 5 5 5 4 4 4 4 5 6 8 8 9 8 8 8 7 6 6 6 6 6 5 4 2 1 3 4 1 -3 1 8 6 3 3 3 2 6 7 5 10 7 2 2 6 8 5 6 7 7 6 6 2 4 5 5 11 8 -6 -5 4 7 7 2 -1 -2 4 7 5 2 -1 3 5 -4 -2 5 7 8 10 11 8 4 3 4 6 6 9 18 22 14 7 4 4 4 3 4 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 4 4 4 4 5 6 6 6 6 5 5 4 5 5 6 5 5 6 5 5 5 5 7 7 6 7 7 7 6 8 10 9 6 5 5 6 6 6 6 6 5 5 5 6 6 5 5 5 5 6 5 5 5 5 4 2 1 2 6 7 6 5 4 3 3 3 5 7 10 12 12 10 6 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 7 7 8 10 11 11 12 11 6 3 2 2 2 3 3 4 4 4 5 5 5 5 5 4 4 3 3 2 2 1 2 6 5 3 2 1 2 2 2 4 4 3 4 5 5 5 6 5 5 9 9 4 -1 2 8 9 9 9 9 8 7 5 4 3 2 2 3 4 3 1 1 3 5 5 6 8 10 9 8 7 7 8 8 8 9 9 8 7 6 5 5 6 7 7 6 5 5 4 3 2 2 1 2 3 5 6 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 10 12 11 8 6 5 5 4 3 3 2 2 3 4 5 5 5 5 5 5 5 5 6 6 7 7 6 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 2 2 3 2 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 4 5 5 5 6 6 5 5 5 4 4 4 4 5 6 8 9 9 9 8 7 7 6 5 6 6 5 4 1 -2 1 5 3 2 5 9 10 8 7 6 3 3 5 9 11 5 4 3 3 8 6 6 5 7 9 7 3 3 7 9 13 3 -7 1 6 9 11 7 -2 -4 -1 3 5 5 3 7 5 5 1 3 2 6 11 11 7 4 2 3 6 9 16 23 21 10 5 4 4 3 3 4 3 3 3 3 3 3 3 3 2 2 2 3 3 2 3 3 4 4 4 4 4 5 5 6 6 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 9 17 18 13 10 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 5 5 5 6 5 4 4 4 1 4 7 7 5 4 4 3 4 5 7 11 14 14 11 5 2 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 6 6 6 5 6 8 10 13 14 11 6 3 2 2 2 2 3 3 4 5 5 6 5 5 5 5 4 3 3 3 5 4 2 6 7 5 5 3 3 3 4 4 3 4 3 3 7 9 8 6 5 10 12 6 -0 1 5 8 9 10 10 8 6 5 4 3 2 2 3 6 7 4 2 3 4 5 6 8 9 8 5 5 5 7 8 8 8 8 8 7 7 6 7 8 8 8 7 6 5 4 4 5 4 2 2 4 5 6 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 3 5 8 8 10 10 9 8 5 3 2 2 2 2 2 3 4 4 5 5 5 4 4 5 6 7 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 2 2 2 3 3 3 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 3 4 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 6 7 6 6 5 5 5 5 5 4 4 5 5 5 5 6 7 6 6 5 5 4 3 3 4 6 8 9 10 9 8 7 7 6 6 6 6 5 4 3 1 3 4 3 5 7 6 5 7 10 8 5 2 1 6 10 8 9 6 4 9 11 10 9 9 9 6 3 1 4 7 7 -1 -4 2 4 8 11 10 -1 -0 1 2 5 4 4 8 5 10 6 6 7 12 15 11 5 2 2 4 7 10 18 22 15 7 4 4 4 4 3 4 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 4 7 15 20 21 19 15 12 10 8 7 6 6 7 6 6 6 6 6 6 6 5 5 5 6 6 5 5 5 3 5 7 7 6 4 4 4 4 5 7 9 13 14 10 6 2 2 3 3 2 2 3 3 3 3 4 4 5 4 4 4 5 5 5 5 5 5 6 8 10 13 13 10 5 3 2 2 2 2 2 3 4 5 6 6 6 5 5 5 4 4 3 3 7 12 7 4 5 5 6 4 4 3 4 5 5 5 5 6 8 12 11 8 6 7 11 9 3 3 5 7 9 11 12 10 7 6 5 4 4 3 3 6 9 8 8 7 6 5 6 7 8 6 3 2 3 4 5 7 8 7 7 7 6 6 7 8 9 8 7 5 4 4 6 9 12 12 10 7 6 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 nan nan nan nan 2 2 4 5 7 10 11 11 9 5 3 3 2 2 2 2 2 3 4 4 5 4 4 4 5 6 6 6 6 6 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 6 5 6 5 6 5 6 7 7 7 6 5 4 3 3 3 3 5 7 9 10 10 10 8 7 6 6 6 5 5 5 4 3 2 3 6 7 6 4 2 5 7 5 3 0 1 3 7 11 11 7 6 9 15 17 13 7 5 4 5 2 -0 -0 1 -1 -1 1 2 7 11 11 2 3 3 4 7 5 5 4 6 8 5 7 11 16 17 12 7 4 4 5 5 9 15 17 10 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 3 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 5 4 3 3 2 2 2 3 2 3 6 12 18 20 20 20 18 15 13 12 12 11 8 7 5 4 4 5 5 5 5 5 6 7 7 8 8 8 6 6 6 5 5 4 4 4 5 5 6 9 10 8 6 4 4 4 2 1 2 2 3 3 3 3 4 5 4 2 2 3 4 5 5 5 5 6 7 9 12 12 9 4 1 1 1 1 2 2 3 3 4 5 5 5 4 3 3 3 3 2 2 7 14 13 6 5 5 4 4 4 3 5 7 9 9 9 8 9 12 11 8 6 5 6 7 5 5 5 6 8 11 12 11 8 7 6 5 5 4 3 4 6 8 8 10 9 7 6 7 6 4 1 -0 -0 0 2 5 6 7 6 6 6 6 7 8 8 7 6 5 3 4 7 16 27 29 20 10 6 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 1 2 3 3 4 6 9 11 11 7 4 4 4 2 3 3 2 1 2 3 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 6 5 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 7 6 6 8 9 9 9 7 7 7 6 6 6 7 8 8 6 5 4 4 3 3 3 4 6 8 9 10 10 9 8 7 6 6 5 5 5 4 6 5 5 9 11 4 1 1 3 4 5 4 2 2 3 6 9 9 4 4 8 17 21 16 7 2 2 5 6 0 -3 1 2 2 2 2 4 8 7 4 3 3 6 6 6 4 7 11 5 -1 4 10 11 10 9 7 4 6 8 8 12 16 14 7 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 4 3 3 3 3 4 4 5 5 5 5 6 5 5 5 4 4 4 5 6 6 5 4 4 3 3 2 1 1 1 1 1 3 7 10 13 16 16 17 18 19 17 15 13 11 7 6 6 6 6 6 8 10 12 11 12 13 12 10 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 4 3 2 1 2 3 3 3 3 4 5 5 1 -5 -5 1 4 5 5 5 5 6 8 10 10 8 5 1 -2 -2 -2 -1 1 2 3 3 3 3 3 2 -0 -2 -2 -1 -1 -0 5 11 11 6 5 5 4 4 4 4 6 9 10 10 9 7 7 8 9 7 5 5 5 5 5 4 5 5 7 10 12 11 9 7 6 6 6 5 3 3 4 5 5 7 9 8 8 7 5 3 1 -1 -2 -1 0 3 5 6 5 6 6 6 7 8 8 6 5 4 3 3 8 16 27 31 21 11 5 4 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 2 2 3 2 3 6 9 10 8 6 5 5 3 3 4 2 1 1 2 3 4 4 4 5 5 4 4 4 4 4 5 5 5 6 6 6 6 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 7 7 7 7 7 8 9 10 12 12 11 9 8 7 7 7 7 8 7 6 6 5 4 3 3 3 4 5 8 9 10 11 10 9 7 6 5 5 5 5 5 9 10 5 4 8 2 1 2 5 -0 5 10 10 4 1 3 6 9 7 5 6 12 18 17 11 5 1 -0 4 5 2 3 6 5 5 3 3 4 -1 1 2 7 7 4 3 3 8 11 3 -5 -1 9 8 6 7 7 5 5 9 14 20 20 11 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 3 3 3 4 4 4 5 5 5 6 5 5 5 5 4 3 4 5 5 6 5 4 4 4 3 3 2 1 1 1 1 1 2 3 5 7 10 13 13 13 13 14 14 14 14 13 12 13 13 13 13 13 15 17 18 15 8 5 6 6 5 5 4 4 4 4 4 3 3 2 2 3 4 5 4 3 3 2 3 2 3 4 4 4 5 7 6 -4 -12 -9 1 5 4 4 5 6 7 8 9 9 7 5 1 -2 -5 -6 -5 -3 1 3 1 -2 -2 -2 -3 -7 -7 -7 -5 -2 2 6 7 5 5 5 5 6 7 7 6 7 6 6 7 6 5 6 6 6 5 5 4 5 5 4 4 5 7 9 10 10 9 8 7 6 6 5 4 3 3 3 5 6 7 8 9 9 6 4 2 0 -1 -1 0 2 5 6 6 5 6 7 8 8 7 6 5 4 3 4 7 12 16 16 13 9 6 4 4 3 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 5 3 3 3 3 2 1 3 7 8 8 7 6 5 4 4 5 4 2 1 1 2 3 4 5 6 5 4 4 4 4 4 4 5 5 5 6 6 5 4 4 4 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 3 2 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 7 7 7 7 8 10 11 12 14 14 12 10 9 7 7 8 8 7 6 6 5 4 3 3 3 4 5 7 8 10 10 9 9 8 7 6 5 5 5 5 9 11 3 -0 3 1 3 3 8 2 6 14 16 6 -1 -1 4 8 10 7 3 5 11 15 14 10 6 1 0 4 6 7 9 8 8 5 2 1 -3 1 6 8 6 4 1 3 8 8 2 -0 4 7 7 8 9 7 5 5 8 16 22 17 8 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 3 4 4 5 5 5 4 4 3 3 3 3 2 2 2 1 1 2 2 3 4 5 6 6 8 10 13 16 17 17 16 16 14 10 7 6 9 12 13 12 6 5 6 6 5 5 5 4 4 4 4 4 3 2 1 -0 0 3 2 0 1 2 3 3 4 4 4 4 5 10 12 7 -2 -8 -3 4 4 4 5 5 5 6 7 8 9 10 9 5 1 -5 -10 -12 -7 -1 -1 -5 -6 -5 -3 -5 -5 -5 -4 -0 1 3 4 5 6 7 7 8 12 14 10 6 5 3 3 5 5 5 6 6 5 5 5 5 5 5 4 4 6 7 8 9 9 8 7 7 6 5 5 4 3 3 3 5 6 7 9 10 9 6 3 2 1 1 2 4 6 6 6 5 6 7 8 8 7 6 6 5 4 5 7 9 9 6 4 3 4 4 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 6 5 5 4 3 2 2 5 7 6 7 6 4 4 5 6 5 3 1 1 0 1 3 5 6 6 5 4 4 3 3 3 4 4 5 5 5 4 4 3 3 3 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 6 6 6 7 7 7 6 6 7 8 9 11 13 14 15 15 13 11 9 9 9 8 6 6 6 5 4 3 3 3 4 5 7 8 9 9 8 8 8 8 6 6 5 4 5 6 8 4 3 3 6 5 1 -0 5 9 15 11 8 3 1 2 4 6 8 5 2 4 10 13 13 11 8 3 2 4 4 4 7 10 7 4 3 3 4 8 9 7 6 5 8 9 8 2 6 9 7 6 6 7 6 6 6 7 16 20 12 5 4 4 4 4 4 3 3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 5 5 5 4 4 4 5 4 5 4 5 4 4 4 4 4 5 5 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 5 6 8 9 10 11 11 9 7 5 2 1 2 3 6 6 5 6 6 6 6 5 5 5 4 4 4 4 4 4 3 -1 -4 0 2 -4 -8 -3 2 4 4 5 5 5 6 11 18 16 8 5 2 3 5 4 4 4 5 5 6 7 8 9 11 12 11 6 -4 -14 -15 -10 -7 -7 -5 -2 -0 1 2 3 2 3 4 3 3 5 6 7 7 8 11 15 14 9 7 4 3 3 4 5 6 6 6 6 4 4 6 6 6 5 5 6 7 8 9 8 8 7 7 6 5 5 4 3 2 3 4 6 8 10 10 8 5 4 4 4 4 6 8 8 6 5 5 7 7 8 7 6 6 5 5 5 6 6 5 3 1 0 1 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 7 7 8 8 6 4 3 2 5 7 6 5 5 4 3 5 7 6 4 2 1 0 -0 2 4 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 6 7 6 6 6 6 7 8 10 11 13 15 17 16 14 11 9 8 7 6 6 5 5 4 4 3 3 4 5 7 8 9 9 8 8 8 8 7 6 5 4 4 5 7 6 8 8 13 9 4 -2 6 4 8 6 13 11 5 -0 1 3 5 7 5 3 6 10 11 11 8 4 2 2 1 1 7 10 8 7 6 6 7 8 8 7 6 9 12 6 6 4 9 8 5 5 4 4 5 6 8 11 19 17 7 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 3 2 3 3 3 3 4 3 3 4 3 3 2 3 4 5 5 5 4 5 5 4 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 6 6 4 2 1 2 3 4 5 6 6 6 6 5 5 5 4 4 4 4 5 5 6 5 0 1 6 2 -10 -13 -7 2 4 4 5 5 6 9 17 20 11 7 6 4 5 4 4 4 4 3 2 3 4 4 4 7 11 12 7 -3 -9 -8 -5 -2 -1 1 2 4 5 6 6 4 3 4 5 7 7 6 6 3 1 7 10 8 7 5 3 3 4 5 5 6 6 6 5 4 5 6 6 6 5 5 6 8 8 9 9 8 7 7 6 5 4 3 2 1 2 3 5 8 9 8 7 5 5 6 7 8 9 9 7 5 5 6 7 7 5 5 5 5 4 4 5 6 5 4 3 3 2 3 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 6 9 10 8 5 3 3 5 7 5 3 4 3 3 6 7 7 5 4 2 1 -0 1 3 4 4 4 4 4 4 4 3 4 3 3 3 3 3 4 4 4 3 3 2 2 2 2 2 1 1 2 2 2 2 2 2 1 1 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 2 3 2 2 3 2 3 3 3 3 3 3 4 4 3 4 4 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 6 6 8 10 11 13 17 17 15 12 9 8 6 6 5 5 4 4 3 3 3 4 5 7 8 9 10 10 8 7 7 7 7 6 4 4 6 6 6 9 12 12 9 6 3 7 -1 6 11 16 15 10 1 2 3 2 7 5 1 4 7 7 9 7 2 2 1 1 5 9 10 10 8 4 5 8 8 6 5 5 8 9 4 3 5 8 5 2 4 3 3 5 7 9 15 20 14 5 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 2 2 3 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 3 3 3 4 4 4 5 4 5 5 5 5 5 4 4 3 3 3 3 2 2 3 4 5 5 3 2 3 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 4 6 9 7 6 11 12 2 -10 -14 -8 -1 0 2 3 5 6 11 15 11 5 5 4 4 3 2 1 -0 -2 -4 -6 -4 -2 -5 -6 -0 7 9 7 5 5 5 3 -0 -0 -0 2 5 5 3 3 5 7 8 9 10 10 8 6 1 1 5 5 6 6 4 3 4 4 4 5 6 6 6 4 4 6 6 6 6 6 6 7 8 9 10 9 8 7 7 7 6 4 3 3 2 2 4 6 7 7 7 6 5 6 7 9 9 9 7 5 5 6 7 6 5 4 4 4 3 3 4 5 6 6 5 5 4 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 0 4 8 10 9 7 4 5 6 6 4 2 2 2 2 4 7 8 7 5 4 3 1 1 2 2 2 3 3 3 4 4 4 3 3 4 3 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 3 3 3 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 7 8 9 10 12 14 14 12 8 7 6 6 5 4 3 3 3 3 4 5 6 8 9 10 10 10 8 7 6 7 8 7 5 5 7 7 8 11 12 8 9 3 2 2 5 6 13 12 11 13 5 3 -0 0 9 2 -4 1 2 4 9 7 4 4 3 4 6 7 9 12 5 -3 -1 5 9 5 4 6 10 7 1 -0 4 6 3 0 2 2 4 4 6 11 20 21 12 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 2 2 3 4 4 5 5 5 5 4 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 5 5 5 4 4 4 3 3 2 3 3 2 2 3 4 4 3 4 4 5 5 6 6 6 6 5 5 4 5 5 5 4 4 4 4 5 6 7 7 12 15 10 2 -10 -15 -9 -8 -6 -5 -1 5 7 9 8 6 5 3 2 1 -0 -2 -4 -5 -7 -10 -11 -8 -7 -8 -7 -0 6 10 10 8 7 5 3 2 1 2 7 8 5 5 10 12 11 9 9 9 10 9 6 3 4 5 5 6 6 5 3 3 4 4 6 6 6 5 5 5 5 6 6 6 6 6 7 9 10 11 10 9 8 8 7 6 5 5 4 3 3 5 6 7 7 6 6 5 6 8 9 9 6 4 4 5 7 6 5 5 4 3 3 2 3 4 4 5 5 4 3 2 2 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan -1 -1 2 5 7 8 8 6 7 7 6 3 2 0 0 1 2 5 6 6 6 6 5 2 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 3 4 4 3 3 3 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 3 4 4 4 4 3 3 4 4 4 3 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 7 9 9 8 9 11 13 11 8 6 6 5 5 4 3 3 4 4 4 6 8 9 11 12 12 11 9 7 6 6 7 7 5 5 7 8 9 10 6 6 12 6 7 2 7 1 7 6 4 7 5 5 3 5 8 1 -3 -1 -1 4 9 6 4 6 5 5 5 3 7 11 4 -4 -1 4 7 5 5 9 14 7 -1 -2 2 2 1 3 2 2 4 4 5 13 26 22 10 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 3 3 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 5 5 5 6 5 5 5 4 4 4 4 5 5 5 5 4 5 5 5 5 6 11 16 11 5 2 -5 -9 -9 -9 -11 -11 -2 3 6 7 6 4 4 3 1 -0 -1 -2 -3 -2 -2 -5 -5 -1 0 -1 1 6 8 7 7 6 6 6 7 10 8 9 14 12 10 12 14 12 10 6 4 7 6 5 5 5 5 5 6 6 5 4 3 4 4 4 6 7 7 5 5 5 6 6 6 5 6 6 8 9 10 11 10 9 9 8 7 7 6 5 4 4 4 6 7 7 7 6 5 5 6 7 7 6 4 3 5 7 7 6 4 4 3 3 2 2 3 3 3 4 3 2 2 1 1 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan -1 -1 -0 1 3 4 6 7 7 8 6 4 2 2 1 1 1 2 4 5 6 6 5 4 2 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 2 2 2 2 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 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 4 4 4 4 3 4 4 4 5 5 5 5 6 6 6 6 6 6 5 6 8 10 9 8 8 9 12 11 8 6 6 6 5 4 3 2 3 4 6 7 9 11 13 14 13 13 10 7 6 6 6 6 5 6 6 7 8 6 -0 5 8 6 7 9 9 1 -2 1 2 -1 8 12 11 11 8 3 3 -0 -1 4 7 2 2 4 4 4 4 3 6 7 4 2 3 5 5 5 6 9 10 5 3 2 1 -0 2 6 3 4 6 6 6 16 28 20 6 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 5 5 6 6 7 11 19 18 9 7 5 1 -0 -1 -6 -12 -11 -7 -1 4 5 4 4 5 4 3 5 7 4 3 4 4 4 5 6 6 6 7 7 5 4 5 4 5 10 14 11 9 13 14 13 11 9 8 9 6 3 4 4 4 4 5 5 6 6 6 6 6 4 4 3 4 6 7 7 6 5 5 5 5 5 5 6 7 6 8 9 10 10 9 9 8 8 8 8 6 5 5 5 6 6 8 8 7 6 5 5 6 6 6 4 3 5 6 7 5 4 3 3 3 3 2 2 3 3 3 3 2 2 2 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan -1 -1 -1 -1 -1 1 4 6 7 8 7 5 5 4 3 1 0 1 1 3 4 4 4 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 4 4 3 3 3 2 2 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 3 3 4 4 4 5 5 6 6 6 7 7 6 6 6 9 12 13 11 9 8 10 11 10 7 6 6 7 6 4 3 3 3 5 7 10 12 13 14 15 15 13 10 8 7 6 5 5 5 5 5 5 6 4 0 4 3 3 7 18 15 4 -3 1 6 -2 9 15 12 16 12 9 7 0 0 4 6 2 5 8 5 5 3 4 5 5 5 6 6 5 3 4 8 10 5 2 7 8 2 2 6 6 4 6 8 8 9 17 27 18 6 3 3 3 3 3 3 3 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 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 7 7 7 9 16 22 21 13 7 6 5 6 4 -2 -6 -11 -10 -3 2 1 1 3 5 5 7 9 8 6 6 5 6 6 6 6 6 7 6 5 5 5 4 3 8 11 9 7 8 8 8 7 5 3 5 5 4 4 4 4 4 4 5 6 6 6 7 7 5 5 4 5 5 6 7 6 6 6 5 4 4 5 6 7 7 8 9 9 8 9 9 9 9 9 9 8 7 6 6 6 6 7 9 9 7 5 5 6 6 5 4 4 4 6 6 6 4 3 4 4 4 4 3 3 2 3 3 3 3 3 2 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 1 2 0 -0 -1 -1 -0 1 4 6 6 6 7 8 7 6 3 0 1 2 2 2 2 2 3 3 3 3 3 3 2 2 2 1 1 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 5 5 4 3 4 4 4 5 5 5 6 6 6 6 7 7 7 11 17 20 18 14 11 10 11 11 9 7 5 6 8 7 5 3 3 3 6 9 11 12 14 15 15 15 13 11 9 7 5 4 4 4 3 5 5 4 5 4 5 4 1 4 17 16 8 2 2 7 4 6 7 7 20 16 10 7 2 2 4 5 7 12 11 5 3 1 2 5 8 8 7 8 6 2 4 9 12 8 3 6 6 2 4 8 5 5 7 9 8 10 21 27 16 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 6 5 4 3 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 10 16 23 22 13 11 9 9 10 7 5 -1 -8 -9 -4 -4 -4 -1 -0 -1 2 6 7 7 5 4 4 5 5 5 5 7 8 7 6 7 10 6 6 7 6 6 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 6 6 7 7 7 6 6 6 5 5 5 5 6 6 6 5 4 4 4 5 5 8 9 10 9 6 9 11 10 10 9 9 9 8 7 6 7 7 8 9 9 8 7 6 6 6 5 5 5 5 5 6 6 4 4 4 4 5 5 5 3 3 4 4 4 4 4 4 2 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 7 6 4 3 3 2 1 1 2 3 4 5 6 9 10 8 5 3 4 3 2 1 1 1 1 2 2 3 3 3 3 2 1 1 1 2 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 3 4 4 4 5 5 5 6 6 6 6 8 7 11 25 35 33 25 17 13 11 11 11 8 6 5 6 8 8 7 4 3 4 7 10 11 12 13 14 13 13 11 9 7 6 4 4 5 3 3 6 6 3 3 5 9 7 3 4 8 9 6 4 10 14 10 5 1 5 18 14 9 5 4 6 5 4 8 12 7 2 3 4 3 6 10 9 5 7 6 3 5 7 9 8 6 5 3 4 8 8 5 5 6 7 7 9 20 25 14 5 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 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 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 3 2 3 3 3 4 4 4 4 4 4 5 5 6 5 5 5 4 4 5 5 6 7 6 7 7 8 13 19 21 19 18 15 12 9 8 7 1 -4 -4 -3 -3 -0 -1 -4 -1 3 7 9 7 4 4 6 5 4 6 10 12 12 9 11 13 10 5 5 4 5 4 4 4 5 5 4 3 2 3 4 4 4 5 5 4 5 6 6 7 7 6 7 7 6 5 5 5 6 7 6 5 4 4 3 4 4 6 8 10 11 9 8 11 11 10 10 9 9 8 8 7 7 7 8 8 8 8 8 7 6 6 6 6 6 5 6 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 5 4 3 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 8 8 7 6 5 3 2 2 2 3 4 5 7 9 8 7 8 8 6 3 1 1 0 0 1 2 2 3 3 3 2 1 -0 1 2 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 4 3 3 4 3 3 3 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 3 3 3 4 4 5 5 6 6 7 7 7 7 9 22 41 45 35 25 18 14 13 11 9 7 5 5 6 7 9 8 5 4 6 8 10 11 11 11 11 11 9 8 6 4 3 2 4 4 3 5 7 8 4 0 5 9 6 6 8 6 4 0 0 12 16 12 6 1 4 9 11 10 6 5 8 6 4 6 7 5 3 5 4 3 7 8 7 7 10 9 5 4 4 4 4 7 8 8 9 11 5 2 4 6 7 6 5 14 19 16 9 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 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 3 3 3 2 2 2 3 3 3 4 4 5 5 5 5 6 5 5 5 5 4 4 4 5 6 6 6 6 5 5 5 9 13 15 20 20 16 11 11 12 8 7 8 6 5 6 5 2 3 6 9 9 8 10 10 7 7 5 6 12 15 14 12 11 10 7 4 4 3 3 4 5 6 7 7 6 4 3 3 4 4 4 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 6 7 7 6 5 4 4 4 4 5 7 7 9 11 9 11 11 10 9 9 8 9 8 8 8 7 8 8 7 7 9 9 9 8 7 6 6 6 6 7 7 6 6 5 4 4 5 4 3 3 3 3 4 4 4 4 4 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 7 7 6 5 4 3 3 2 2 2 3 5 6 7 8 10 10 9 7 4 2 1 1 1 1 1 2 3 3 3 2 0 1 1 1 2 2 2 2 2 2 3 3 3 4 3 3 4 4 4 3 3 3 3 3 4 5 5 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 4 4 5 6 7 7 7 7 7 9 14 31 39 28 19 16 15 14 12 9 7 5 4 4 5 7 8 8 7 6 8 9 10 10 10 10 9 8 6 5 3 0 1 2 4 4 3 3 6 9 5 2 5 6 4 5 5 5 3 -3 -3 6 10 9 7 3 2 2 8 12 10 7 8 7 4 6 6 4 4 5 2 1 4 5 4 9 13 10 5 3 2 1 1 5 10 13 15 14 4 1 3 6 7 6 7 10 14 21 16 5 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 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 4 4 4 3 3 6 10 14 16 13 13 15 15 15 20 18 11 9 10 10 8 9 12 11 10 15 14 10 10 7 5 10 13 11 9 8 7 5 3 3 2 3 4 6 8 10 10 8 5 3 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 6 6 5 5 6 7 8 7 6 5 4 4 4 5 5 5 6 8 8 9 9 9 8 8 8 9 8 8 8 8 7 7 6 6 9 10 11 10 8 7 6 6 6 7 7 6 6 5 4 4 5 4 4 4 3 3 3 3 3 4 3 3 3 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 3 3 3 4 5 4 4 4 4 4 4 2 2 2 2 4 5 6 8 9 10 9 7 5 4 3 2 1 1 1 2 3 3 3 2 0 0 1 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 5 6 6 6 5 5 5 5 6 6 6 6 5 5 4 4 4 3 3 4 3 3 3 3 2 2 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 6 5 4 3 3 4 4 5 6 7 7 7 7 7 9 12 20 29 22 7 5 9 12 12 10 7 5 4 3 3 4 5 7 8 7 8 8 9 9 10 9 8 7 5 4 1 -2 -2 1 3 4 4 2 1 6 7 3 8 8 5 4 4 4 5 4 -1 0 4 6 7 10 9 5 2 6 10 10 7 6 6 6 8 5 2 6 6 6 1 3 5 3 6 9 5 4 4 1 -2 -2 3 8 13 19 16 7 2 1 2 4 7 8 7 15 25 19 5 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 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 2 2 3 3 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 4 6 9 10 10 11 11 11 16 21 18 13 15 15 11 10 10 10 10 12 12 11 10 8 5 5 8 7 6 5 5 4 2 2 2 3 5 8 11 14 13 8 4 3 4 3 3 4 4 4 5 5 6 6 6 6 6 6 7 6 5 5 4 5 6 8 9 7 6 4 4 4 5 6 6 5 5 6 7 8 8 8 7 7 7 8 9 8 8 8 7 7 7 9 11 11 10 8 7 7 7 6 7 7 7 5 5 5 5 5 5 5 5 4 3 3 3 2 3 3 4 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 2 1 1 2 3 4 4 4 4 4 4 3 2 1 1 2 3 5 5 6 7 7 7 7 7 5 4 2 1 1 1 2 2 2 2 1 1 2 2 3 3 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 5 5 6 6 6 6 4 4 4 5 6 6 6 6 5 5 5 4 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 4 5 6 5 4 4 4 4 5 6 7 8 8 7 7 8 12 16 23 24 12 2 1 6 12 14 10 6 4 2 2 3 4 5 6 6 8 8 8 8 8 9 9 8 6 4 1 -3 -4 -0 2 3 5 9 5 4 9 3 2 12 9 5 6 7 6 6 5 4 6 7 7 9 12 13 10 5 5 8 8 5 3 4 7 8 5 3 8 9 8 5 6 7 1 3 4 3 5 6 5 1 0 3 7 11 17 13 8 3 0 -2 -0 6 8 5 18 28 16 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 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 5 6 6 6 6 6 5 4 4 3 4 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 4 4 4 5 5 4 4 4 4 4 4 5 5 4 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 7 12 16 16 16 15 11 9 7 6 7 7 7 7 6 6 5 4 4 5 5 5 4 3 2 1 2 3 6 9 12 14 12 7 4 3 3 3 3 3 4 4 5 6 6 7 7 6 5 6 7 7 5 5 5 5 6 7 8 9 8 5 4 4 5 5 6 6 5 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 7 8 10 10 9 8 6 7 7 7 8 7 6 6 6 5 6 6 6 6 6 5 4 4 4 2 3 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 4 3 2 2 3 4 4 4 3 4 4 3 2 2 1 1 2 3 4 4 5 5 5 5 6 6 5 5 4 3 3 2 1 1 1 2 3 3 4 5 5 5 5 5 6 5 5 5 5 6 6 6 5 4 4 4 5 5 6 7 7 8 7 6 5 4 4 4 5 5 6 6 5 5 5 4 4 4 5 5 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 4 4 3 4 4 4 4 5 5 5 5 4 5 6 5 5 4 4 5 6 7 8 8 8 8 8 10 15 20 24 20 7 4 4 5 13 16 10 5 4 2 2 3 3 4 4 5 6 7 7 7 8 9 9 8 5 2 -3 -5 -1 4 5 6 7 10 7 5 10 3 7 9 6 7 10 6 3 5 5 9 10 8 8 6 6 8 8 7 7 8 6 2 1 3 7 7 3 1 6 8 3 3 7 10 5 4 3 4 6 4 7 7 6 7 7 12 17 10 7 3 -0 -3 -0 6 8 7 20 28 14 5 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 5 5 4 4 3 4 3 3 4 4 4 4 4 4 4 5 6 6 6 6 5 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 3 2 2 3 3 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 5 5 5 5 7 9 11 11 11 8 7 5 5 4 4 4 4 4 4 3 3 4 4 4 4 3 3 2 1 2 3 6 9 10 10 8 6 4 4 3 3 3 3 3 4 5 6 7 8 7 6 6 5 6 5 6 6 5 4 5 5 7 9 9 7 5 4 4 5 6 6 6 5 5 6 7 7 6 6 6 6 6 7 7 8 9 9 8 8 8 8 9 8 7 7 7 7 8 7 7 6 6 6 7 7 7 7 7 7 7 7 5 3 3 4 4 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 5 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 1 1 2 3 4 4 4 4 4 4 5 5 5 5 4 3 2 1 2 3 3 4 5 5 6 6 6 6 6 6 6 5 6 7 7 7 5 4 4 4 5 5 6 7 8 8 8 7 6 5 4 4 3 4 5 5 4 3 4 4 4 4 5 5 5 5 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 3 4 4 3 4 4 3 4 5 5 5 5 5 5 5 5 4 4 5 5 7 8 8 8 8 9 10 14 21 24 22 14 5 8 9 8 15 15 9 5 4 3 3 3 3 4 4 4 5 5 5 6 7 9 9 7 3 -1 -4 -2 4 7 5 4 7 7 6 7 7 5 7 5 7 8 9 4 1 6 8 10 8 8 8 3 1 3 6 8 10 7 2 1 2 3 6 5 2 1 3 4 -1 -3 1 11 11 9 6 4 3 -0 5 9 9 9 8 12 20 17 9 3 -3 -6 3 11 10 8 19 29 15 5 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 3 3 3 3 4 4 4 3 3 3 4 5 5 5 4 4 3 3 3 3 4 4 4 3 4 4 5 6 7 7 6 6 5 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 3 3 3 3 4 4 5 5 5 4 4 5 5 6 6 5 5 6 5 5 5 6 5 5 6 6 7 8 8 8 8 7 5 5 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 3 2 3 4 6 7 7 6 5 4 4 5 4 4 4 3 4 4 6 6 7 8 7 7 6 5 4 4 4 5 5 5 5 4 5 7 8 8 5 3 3 4 5 6 6 5 5 6 7 6 6 7 7 6 6 7 7 8 9 11 11 9 8 8 9 9 8 8 8 8 7 8 7 7 7 8 8 8 7 7 8 9 8 8 7 6 4 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 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 1 1 3 5 5 5 4 4 4 4 4 5 5 5 4 3 2 3 4 4 5 6 6 5 6 6 6 5 5 5 6 8 8 7 6 5 4 4 4 5 6 7 7 8 8 7 7 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 5 6 7 7 8 8 9 10 15 23 28 25 17 6 2 9 12 13 15 11 7 5 5 4 3 3 3 4 5 4 3 3 4 4 6 9 9 6 3 1 1 3 6 7 6 2 3 6 8 10 9 8 2 4 7 2 4 4 3 8 9 7 5 7 8 4 2 7 10 8 7 6 3 2 4 4 4 3 2 3 4 7 5 -5 -3 9 14 10 7 5 -0 -0 2 5 8 13 14 12 21 26 12 0 -6 -5 7 13 8 7 19 29 18 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 5 4 4 3 3 3 3 4 4 4 3 4 4 4 4 5 5 6 7 7 7 5 4 3 3 4 4 3 3 3 4 4 3 3 3 3 4 5 5 6 6 6 7 7 7 6 5 5 5 5 5 4 5 5 5 4 4 3 4 5 7 7 6 4 3 3 4 4 4 5 4 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 7 7 7 6 6 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 3 3 4 5 5 5 3 3 3 4 5 4 3 3 3 4 6 6 7 7 7 7 7 6 6 5 4 3 3 3 5 5 5 4 5 7 7 6 4 3 3 4 5 5 5 5 5 6 6 6 6 6 7 6 6 7 7 9 12 13 13 11 9 8 9 9 8 8 7 7 7 8 8 8 8 8 7 6 7 9 9 8 8 8 8 7 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 3 2 1 1 1 3 4 5 5 5 5 4 3 3 3 5 6 5 5 4 3 3 3 4 5 5 5 5 5 5 5 4 5 6 7 8 8 7 5 4 4 4 4 5 6 6 7 7 7 6 7 6 5 4 3 2 1 1 2 2 2 3 4 4 4 5 5 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 5 4 3 3 4 5 6 7 7 7 9 10 16 26 34 30 20 12 0 1 11 15 13 10 7 6 6 5 4 4 4 4 4 5 5 3 3 3 3 5 8 9 7 5 5 6 6 5 6 9 9 7 6 4 3 7 7 0 3 7 -1 -2 2 3 8 7 6 5 7 8 8 8 12 15 8 3 2 3 5 6 6 5 3 5 6 6 6 7 -1 -4 10 18 7 5 4 -1 4 5 1 4 12 14 14 26 31 15 -1 -7 -3 9 11 5 5 18 31 20 4 4 5 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 7 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 6 5 5 4 4 4 4 4 5 5 4 4 3 3 4 6 8 9 7 5 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 6 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 3 2 2 3 4 4 4 3 1 -0 3 6 6 7 7 7 7 7 7 7 6 5 4 2 2 3 4 4 4 5 5 6 6 5 4 3 3 4 4 4 5 5 5 5 5 6 5 6 6 6 6 6 8 12 15 16 14 10 9 9 10 10 8 7 7 7 7 7 7 7 6 6 5 6 8 8 7 8 9 9 9 8 7 6 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 5 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 4 3 3 3 3 4 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 6 8 9 8 5 4 4 4 4 4 4 5 5 6 6 6 7 8 7 6 4 3 1 1 1 2 2 3 3 4 4 5 4 5 6 6 5 4 4 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 4 6 7 7 7 8 9 14 26 39 37 22 9 5 2 13 18 12 3 1 2 5 7 6 5 5 4 5 5 6 6 5 3 3 4 5 8 9 7 7 6 7 6 6 6 8 11 14 12 6 -0 -1 -0 -1 6 12 3 -1 1 3 10 12 10 9 7 7 9 10 12 13 9 3 -1 1 7 8 7 5 5 8 9 7 4 3 1 -0 13 20 5 1 4 0 5 5 0 2 8 10 17 32 32 15 -1 -6 1 11 10 3 4 14 31 23 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 3 3 4 4 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 2 2 5 8 9 8 7 6 5 5 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 5 4 4 3 3 3 3 3 4 4 5 4 4 3 3 4 7 10 9 7 4 3 3 4 4 4 4 4 4 3 3 4 3 3 4 4 4 3 4 3 4 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 8 7 8 7 6 5 4 3 3 2 3 4 4 4 3 4 5 -1 0 5 6 7 7 7 7 7 7 6 7 7 6 4 2 2 2 3 3 4 5 6 7 6 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 10 16 20 21 15 10 9 10 9 8 6 6 7 7 7 7 6 5 4 3 5 7 7 6 7 9 9 9 9 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 5 5 4 4 3 3 4 4 5 5 5 4 5 5 5 5 4 3 2 3 4 4 5 5 4 4 3 2 2 3 3 4 4 4 4 3 3 3 2 3 3 4 4 3 3 3 4 6 8 8 6 4 3 3 3 3 3 4 4 5 5 6 7 8 9 8 6 5 3 2 2 2 2 2 3 4 5 4 5 5 5 6 6 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 2 4 5 7 7 7 7 9 13 21 32 38 30 14 -0 -5 5 14 11 -2 -10 -8 -2 4 8 7 6 6 5 5 7 7 7 6 5 5 5 7 7 7 5 6 4 6 7 7 8 7 6 7 8 8 3 -0 -2 1 10 16 12 7 5 7 11 13 8 7 7 8 8 7 7 7 8 4 -0 3 7 7 5 3 4 7 8 7 5 3 3 4 14 15 2 -2 -1 2 8 1 -2 3 8 6 20 36 30 11 -2 -3 6 13 10 4 3 13 28 23 6 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 3 2 2 3 6 8 8 8 7 7 6 6 6 6 5 4 4 4 5 5 5 5 5 4 5 5 5 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 5 8 9 8 6 4 3 3 4 4 4 3 3 3 2 3 3 3 4 4 3 3 3 3 3 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 5 5 6 7 8 9 9 8 7 6 5 4 3 3 4 5 5 5 4 7 9 3 0 4 5 6 6 7 7 7 6 7 7 7 7 6 5 3 2 2 1 2 5 8 8 7 5 4 3 3 3 4 4 4 4 5 4 4 4 4 4 5 5 6 7 9 14 23 29 25 16 9 8 8 8 7 6 7 7 7 5 5 4 4 4 4 6 6 6 7 8 9 9 10 9 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 3 3 2 2 2 3 4 4 3 3 3 2 3 3 3 3 4 3 3 2 3 4 6 7 6 4 2 2 2 2 2 3 4 4 5 5 6 7 8 9 8 6 5 4 3 2 2 2 3 4 4 5 4 4 5 6 6 7 6 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 2 3 4 6 8 8 8 10 12 16 21 26 27 21 11 -3 -10 -5 -13 -15 -17 -16 -10 -3 3 7 7 6 6 6 7 7 8 7 7 6 6 7 7 4 2 2 3 2 4 7 7 8 6 6 4 2 1 1 3 4 5 11 18 20 16 9 9 8 6 4 4 6 4 4 5 4 2 3 3 5 9 8 5 3 0 -0 3 6 8 10 8 5 6 12 13 4 -3 -7 1 13 6 0 4 3 4 23 37 25 7 -2 1 9 13 10 5 5 16 26 19 6 4 5 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 3 2 3 4 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 3 4 4 4 4 3 3 3 3 3 4 5 7 8 6 5 4 4 4 4 4 3 2 2 2 2 3 3 3 4 3 3 3 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 3 4 4 4 5 6 8 9 9 9 8 7 5 5 4 3 4 5 5 3 4 7 8 4 3 4 5 5 6 6 7 7 7 7 7 7 7 7 6 5 4 2 1 0 3 6 9 9 6 5 4 3 3 3 3 4 4 5 4 4 4 3 4 3 4 5 7 8 12 23 35 36 22 9 6 7 8 8 7 6 6 5 4 4 4 3 4 5 7 6 6 6 7 8 9 10 10 9 9 8 7 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 5 5 5 5 5 5 6 6 6 6 6 5 4 4 3 3 3 4 4 4 4 5 4 3 3 2 2 3 4 4 3 3 3 3 3 3 4 4 4 3 2 2 2 3 4 6 5 4 3 2 2 1 1 2 3 4 4 4 4 5 6 8 8 8 7 6 4 3 2 2 2 3 4 4 4 5 5 5 6 6 6 6 5 5 4 3 2 2 3 3 2 3 4 3 4 4 5 5 5 5 5 4 4 4 4 5 5 6 5 5 5 4 4 3 3 4 6 9 9 11 12 13 14 13 14 14 15 12 4 -5 -12 -16 -24 -22 -14 -11 -6 -0 4 5 6 6 5 6 8 10 9 8 7 6 7 8 8 3 -1 0 0 4 3 4 5 6 3 2 2 3 1 0 2 6 7 10 16 21 16 9 8 8 5 5 7 6 1 2 4 3 0 -1 3 13 16 9 5 3 -1 -1 3 5 7 8 7 7 6 8 16 14 7 -4 -1 9 12 4 1 3 15 28 29 17 3 -1 4 10 12 8 5 7 17 26 16 5 5 5 5 4 4 5 5 5 4 4 4 3 4 4 3 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 5 6 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 3 4 3 3 3 2 3 3 3 4 5 5 5 4 4 3 3 3 4 4 5 6 6 4 4 4 4 5 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 3 3 3 3 4 3 3 3 2 3 3 5 7 8 9 9 8 7 6 5 4 4 3 4 3 1 2 5 6 4 3 4 4 4 5 6 7 7 7 7 7 7 7 7 6 5 5 4 2 -1 -1 3 7 9 8 5 4 3 2 2 2 3 4 4 4 4 4 4 3 3 4 5 6 8 10 17 30 36 23 9 6 7 8 8 7 6 6 4 4 4 4 3 4 5 6 6 5 6 7 9 10 10 10 10 10 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 5 5 4 4 4 4 5 5 5 6 7 7 7 7 7 6 6 4 3 3 3 3 4 4 5 5 5 5 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 3 2 2 2 3 4 5 5 4 2 1 1 0 1 2 3 4 3 2 3 4 6 7 8 7 7 6 5 3 3 3 3 3 3 3 4 4 5 5 5 6 6 5 5 4 3 2 2 2 1 2 3 3 3 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 5 5 4 5 6 5 9 13 11 13 15 12 10 8 8 9 6 4 -1 -5 -9 -10 -10 -6 -0 -0 1 3 4 5 5 4 4 6 9 11 11 9 7 7 8 9 8 4 -1 -1 -1 4 5 1 1 5 2 -5 -4 3 4 5 5 6 4 6 10 12 9 7 8 11 11 9 9 7 6 5 3 3 2 -0 5 15 16 10 6 3 -2 1 6 6 1 -0 4 10 7 6 15 18 13 5 3 1 11 12 9 11 21 25 18 6 -1 0 5 9 9 6 4 8 20 28 16 5 5 5 5 5 5 4 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 5 4 4 4 3 3 2 2 3 4 4 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 6 6 5 4 4 4 4 5 5 5 4 3 4 5 5 5 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 4 3 3 3 2 2 3 4 5 7 8 9 9 8 7 6 4 3 3 3 1 1 1 2 3 4 4 4 4 4 5 6 7 8 8 7 7 7 7 7 6 6 6 5 3 0 -1 -0 3 6 7 5 3 2 1 1 1 2 3 4 4 4 4 4 3 3 4 4 5 7 9 12 17 20 17 12 11 12 11 8 7 7 6 5 4 5 4 3 3 4 5 6 6 6 8 9 10 9 9 9 10 10 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 4 4 4 4 4 3 3 4 5 5 6 7 8 8 8 7 6 6 5 4 4 4 3 4 4 5 6 6 6 5 5 4 4 4 4 2 3 3 3 3 4 4 4 4 4 3 2 2 2 3 4 5 4 4 3 1 -0 -0 1 3 3 3 2 2 3 4 5 6 7 8 8 6 6 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 4 3 3 2 1 1 1 1 2 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 7 12 15 12 13 11 6 5 6 10 11 12 15 12 8 4 3 4 6 8 8 6 5 4 4 4 4 5 7 11 13 13 12 10 10 13 13 9 5 2 1 3 5 6 2 1 2 2 2 6 8 6 7 7 2 -2 -1 3 4 3 5 6 10 13 9 6 7 11 7 3 4 5 5 9 12 12 8 5 2 1 4 4 4 3 3 7 10 7 7 9 9 6 8 9 -1 5 18 21 19 18 15 3 -8 -2 4 6 8 8 5 4 9 22 25 13 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 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 1 2 2 3 4 5 5 5 5 5 4 4 3 3 3 3 2 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 4 4 2 3 5 5 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 6 5 4 4 4 4 4 3 3 3 3 2 2 3 4 5 7 8 8 8 8 7 5 4 4 4 5 4 3 2 1 3 5 5 5 4 4 6 7 8 8 8 8 8 8 7 7 7 7 6 5 3 0 -1 0 3 5 6 3 1 1 1 1 2 2 3 4 4 5 4 3 3 4 4 4 5 8 9 9 9 11 14 18 20 18 11 7 7 6 6 5 4 4 3 2 3 4 5 5 6 7 8 9 9 8 8 8 8 10 11 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 4 4 4 4 4 4 4 3 3 4 4 5 6 8 9 9 8 7 6 6 5 5 4 4 3 3 4 5 6 7 7 7 6 5 4 4 3 2 2 3 3 4 4 4 5 5 3 2 2 3 4 4 4 6 6 5 2 1 -0 0 2 3 2 1 1 2 2 4 5 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 1 1 1 2 2 3 4 3 3 4 3 3 4 4 4 5 4 5 6 5 6 7 7 7 8 8 10 14 16 13 9 5 3 4 7 12 15 24 37 32 23 16 13 12 11 12 10 7 5 4 4 4 4 6 10 13 14 15 16 15 15 17 16 10 4 3 6 8 7 4 3 4 2 4 11 13 13 8 7 6 -1 -6 -3 3 3 3 4 3 3 7 6 2 5 12 10 4 4 8 10 13 14 12 6 3 0 4 6 5 2 4 10 9 7 7 6 3 4 4 7 11 -1 -5 11 27 25 13 2 -12 -14 2 8 8 10 8 6 5 8 18 25 15 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 2 1 2 2 3 4 4 4 5 5 4 3 3 3 2 2 3 4 4 4 4 3 4 4 5 5 5 4 5 5 5 6 5 6 7 7 7 7 5 4 3 2 3 5 6 6 5 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 6 5 5 4 4 4 4 4 3 2 3 2 2 3 3 5 5 7 7 7 7 7 6 5 5 7 7 6 5 4 3 4 5 6 5 4 4 5 7 7 7 8 8 8 8 8 8 8 8 8 7 6 3 1 -0 0 3 5 4 2 1 1 1 1 1 2 3 4 4 5 4 4 3 3 4 5 7 7 7 8 10 15 21 27 26 17 8 5 6 6 6 5 4 3 3 2 3 3 5 5 6 7 7 8 8 8 7 7 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 5 5 6 5 5 4 4 3 3 3 3 5 7 8 9 10 9 8 7 7 6 5 4 3 3 3 4 5 7 8 8 7 6 5 4 3 2 3 3 3 3 4 5 5 5 4 3 3 4 5 4 4 6 7 8 6 3 1 0 1 2 2 1 1 1 2 3 4 4 4 5 6 6 7 7 7 7 6 5 5 5 5 5 5 4 5 5 6 6 6 6 5 4 3 2 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 7 7 8 11 14 17 15 10 6 4 4 5 8 11 15 24 36 28 18 12 9 10 11 11 9 7 6 5 4 5 6 8 12 14 15 16 18 20 18 15 12 9 5 3 5 6 5 3 4 6 5 7 7 4 3 5 10 13 2 -4 0 4 4 7 6 1 0 5 4 -0 3 9 11 6 7 13 13 10 15 16 7 0 -0 5 8 6 2 7 14 12 10 11 2 -3 4 11 11 9 3 -4 10 31 22 8 -7 -14 -4 8 9 10 10 7 5 6 7 14 26 20 7 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 3 4 5 5 5 5 5 5 4 5 4 4 3 3 3 3 3 2 3 2 2 2 2 3 4 3 4 4 4 4 3 3 2 2 2 4 5 6 7 5 4 4 4 5 5 4 4 4 4 4 4 3 4 5 7 8 8 6 4 3 3 4 5 5 5 4 3 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 6 6 5 5 4 4 4 4 3 3 3 2 2 3 3 4 5 5 6 6 6 6 6 6 6 8 8 7 4 4 5 6 7 7 6 4 4 4 5 6 6 7 7 7 8 9 9 8 9 9 9 8 6 3 1 0 1 4 4 4 2 2 1 2 1 2 2 2 3 4 5 4 4 3 4 4 6 7 8 9 10 13 19 26 26 18 8 4 6 7 7 5 5 4 3 3 2 3 4 5 5 5 6 7 8 8 9 8 8 8 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 7 6 6 6 6 5 4 4 3 2 2 2 4 6 9 10 10 9 8 8 7 6 5 4 3 2 2 4 5 7 8 8 7 6 5 4 3 3 3 3 3 4 5 6 6 5 4 4 5 6 5 4 4 6 8 8 6 3 1 1 2 2 2 1 2 2 2 3 3 3 4 4 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 6 4 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 5 4 4 5 6 7 8 11 16 19 17 11 6 4 5 5 6 8 9 10 11 8 2 -1 -0 3 6 9 10 8 6 6 6 6 6 7 8 11 14 16 17 16 17 15 11 6 6 7 6 5 3 1 5 10 8 7 5 -3 -4 -0 4 12 18 4 1 5 4 5 10 8 1 2 6 4 3 5 8 10 8 7 15 16 9 8 11 3 1 4 8 8 4 3 8 11 12 14 11 2 -0 5 12 15 10 11 8 21 32 19 1 -16 -11 12 17 13 14 11 6 3 4 6 13 24 22 9 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 4 4 5 5 4 4 3 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 3 3 2 2 2 1 2 4 6 7 8 7 5 4 4 4 4 4 3 3 3 3 3 3 2 3 5 6 7 6 4 3 3 4 4 4 4 3 2 2 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 6 6 8 9 7 3 3 4 6 9 9 7 4 4 4 4 4 4 5 5 6 7 7 8 9 9 9 10 9 8 7 5 2 1 3 5 5 4 3 2 3 3 2 1 1 2 3 4 4 3 3 3 4 4 5 7 8 9 10 14 18 18 14 8 6 6 7 7 7 6 6 5 4 3 3 3 4 4 5 5 6 7 7 8 8 8 8 8 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 6 6 6 6 5 5 4 3 2 1 2 3 6 7 9 9 9 8 8 7 6 5 4 3 2 2 3 5 6 7 7 6 5 4 4 4 4 4 4 4 5 6 6 5 6 6 7 6 5 3 3 4 6 7 7 5 3 3 3 3 3 2 2 2 3 3 3 3 2 3 3 4 5 5 5 6 6 6 7 7 7 7 7 6 6 7 8 8 9 9 8 8 7 5 4 3 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 6 7 7 11 18 18 12 8 6 5 5 5 6 7 7 3 -2 -12 -12 -7 -2 4 9 10 9 7 6 6 6 6 7 7 7 9 13 17 16 13 11 11 9 3 3 4 5 6 5 4 6 9 6 5 1 -6 -1 3 6 15 15 2 4 5 4 9 16 9 0 0 2 5 12 13 9 8 6 4 12 17 13 7 2 -3 4 9 8 8 2 2 -0 -1 6 12 7 4 7 9 11 7 8 16 17 31 30 14 -8 -23 -5 25 30 25 21 13 7 4 4 5 12 23 24 11 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 5 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 2 2 4 6 7 8 7 5 4 4 4 4 3 3 3 2 3 2 3 2 2 2 3 4 4 4 3 3 4 4 4 3 2 2 3 3 3 3 4 3 4 4 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 6 6 6 7 9 8 4 3 4 6 10 9 7 5 4 3 3 3 3 3 3 4 4 5 6 7 8 9 10 10 10 9 8 5 2 2 4 5 4 4 4 4 4 3 2 2 1 2 3 3 3 3 3 3 3 4 5 6 7 8 9 11 13 11 8 6 6 6 6 7 8 7 7 6 5 3 4 4 4 4 5 6 7 7 7 7 9 8 8 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 5 6 6 6 6 6 6 6 5 3 2 1 1 2 3 5 7 7 8 9 7 6 5 5 5 4 3 2 3 4 5 6 6 6 5 5 4 4 4 4 5 5 6 6 8 8 8 6 5 4 2 1 2 4 5 6 7 6 5 5 5 5 4 3 2 2 3 2 2 2 2 2 3 4 4 4 5 5 5 6 7 7 7 6 6 6 7 8 9 9 8 8 8 8 7 6 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 9 16 18 11 9 8 6 6 5 7 6 5 2 -1 -7 -5 0 5 8 10 10 8 7 7 6 5 6 7 7 7 7 13 20 19 11 6 7 8 4 2 2 3 8 9 8 8 6 4 3 1 -0 3 1 4 11 4 2 8 5 3 12 23 13 3 0 -1 8 19 16 9 5 3 3 9 12 11 10 4 -2 5 8 9 11 3 -3 -7 -3 5 6 2 5 10 9 8 2 6 12 22 34 26 9 -12 -17 6 29 34 28 20 12 8 6 4 4 10 21 25 14 4 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 6 6 5 5 5 5 4 4 4 4 3 3 4 3 3 3 3 2 2 2 2 3 4 3 4 3 3 2 3 4 6 6 6 6 5 4 4 3 3 2 2 3 4 4 3 3 3 2 2 2 2 2 3 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 9 10 9 8 7 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 8 9 8 7 8 10 10 9 7 6 4 3 3 2 2 2 2 2 3 4 4 5 6 7 8 10 10 10 10 7 5 3 3 4 4 5 6 5 5 4 4 4 3 2 2 3 3 2 2 2 3 3 3 4 6 7 7 8 9 9 8 7 6 5 5 6 8 9 10 9 7 6 5 4 4 4 5 6 7 6 7 7 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 4 5 5 5 6 6 7 8 7 7 6 4 2 1 1 2 3 4 5 6 8 8 7 7 7 6 5 5 3 3 2 3 4 5 5 5 5 4 4 4 5 5 5 6 7 9 9 8 6 3 2 1 1 1 2 4 5 6 7 7 6 6 6 6 5 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 5 6 6 6 5 5 5 5 6 8 8 8 8 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 6 6 7 8 13 18 14 11 9 7 7 7 8 3 3 6 5 4 5 6 8 9 8 8 7 7 7 5 5 8 10 10 8 8 15 22 19 10 4 5 5 6 7 7 4 5 4 5 7 5 3 1 2 7 10 8 10 6 -1 2 5 3 1 9 14 8 7 6 2 8 14 12 9 5 5 8 10 7 3 11 10 5 6 6 8 11 5 -3 -1 4 4 -4 -4 3 8 6 2 1 5 7 24 35 23 6 -7 -3 12 22 23 19 13 9 7 6 4 4 9 23 27 15 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 3 2 3 3 2 2 3 4 4 5 4 4 3 2 3 5 6 6 6 7 6 5 4 3 3 3 3 4 4 5 5 5 4 4 3 3 2 2 3 2 3 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 9 11 11 10 9 8 6 5 6 5 5 4 3 4 6 7 7 7 6 6 5 5 5 6 7 10 13 15 15 12 9 7 6 5 4 3 2 1 1 1 1 2 3 3 4 4 5 6 8 9 10 11 10 7 5 4 4 5 6 6 5 4 5 5 5 4 3 3 3 3 2 2 2 2 3 3 4 4 6 6 6 7 7 7 7 6 5 5 6 8 10 13 13 10 8 6 6 4 4 5 6 6 7 6 6 7 6 6 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 3 4 4 4 5 5 6 8 8 8 8 7 5 3 2 2 2 2 3 5 6 7 9 9 9 8 7 6 5 4 3 2 3 4 5 5 4 3 3 4 4 5 6 7 8 9 8 7 3 2 1 1 2 2 2 2 3 5 6 7 6 6 7 7 5 4 3 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 5 5 4 3 3 4 5 6 7 8 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 4 3 3 4 5 6 6 7 7 7 10 19 20 12 8 8 9 8 2 -2 4 7 5 5 6 7 7 8 7 7 7 6 6 6 6 12 15 14 11 10 14 19 15 8 4 5 4 6 11 9 7 1 1 3 4 2 0 -0 4 11 13 10 11 14 14 9 1 -2 -1 4 -0 0 8 11 9 11 11 13 11 7 7 12 13 6 2 10 8 4 6 9 7 5 2 -2 7 18 9 -6 -5 2 3 -2 -2 3 5 5 21 31 23 6 -0 7 14 16 14 11 8 6 5 5 3 4 12 23 20 7 5 6 5 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 4 5 5 4 4 3 3 3 3 3 3 4 5 5 5 5 4 3 3 3 5 5 6 8 10 8 7 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 4 4 3 4 4 5 5 5 5 5 5 6 5 6 6 6 7 7 7 6 7 7 8 9 9 10 10 11 11 11 10 8 7 5 4 5 6 5 4 4 6 8 9 9 9 9 7 6 5 4 4 6 10 16 19 18 13 10 8 7 5 4 4 3 2 1 0 0 1 2 3 2 3 3 4 5 6 8 10 11 10 8 6 4 5 6 6 5 5 4 5 5 5 4 4 3 3 2 2 2 2 3 3 4 4 4 5 6 7 7 7 7 6 5 4 5 7 11 15 16 15 12 9 6 4 4 5 6 6 7 7 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 4 4 3 4 4 4 6 7 8 9 9 9 7 5 3 3 3 3 3 4 5 6 9 10 10 9 8 8 7 6 5 3 3 3 4 4 4 3 3 4 5 6 6 7 9 9 8 5 2 2 1 2 2 2 3 3 3 4 5 5 5 5 5 6 6 5 4 3 2 1 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 2 2 2 3 5 5 6 7 6 7 7 7 6 7 7 6 6 6 6 5 6 6 5 4 3 4 5 5 6 6 7 6 7 11 23 23 12 8 9 11 6 -4 -2 7 7 3 4 6 6 7 7 7 6 6 6 5 5 9 15 17 16 13 9 10 13 14 10 8 7 5 4 3 5 8 5 4 5 3 2 2 3 6 8 10 10 9 15 23 15 2 -3 -3 -0 -2 2 8 10 11 15 15 17 10 6 9 14 14 8 3 2 0 0 7 10 6 1 1 1 10 24 13 -1 -1 1 -5 -7 1 6 4 6 17 24 21 10 7 12 15 14 11 8 6 5 5 4 3 4 10 14 8 4 11 13 8 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 3 3 4 5 6 6 6 5 4 3 4 5 5 4 5 9 11 10 8 6 5 5 4 5 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 6 7 7 7 8 9 10 11 13 13 13 12 12 11 8 7 6 4 3 5 6 5 5 5 8 10 11 12 12 10 8 6 5 4 4 5 8 13 16 15 12 10 8 7 5 4 5 5 4 2 0 0 1 2 3 3 3 3 3 3 4 6 8 10 10 9 8 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 3 3 4 4 4 4 5 6 7 8 8 7 7 6 6 4 6 9 13 17 19 17 12 6 5 4 4 5 6 7 7 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 4 4 4 4 4 4 5 6 7 8 8 9 7 6 4 3 3 3 4 4 5 6 8 10 9 8 7 7 8 7 6 5 4 4 4 4 4 3 3 5 6 6 7 7 9 9 7 5 3 2 2 3 2 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 4 4 5 6 7 6 6 5 6 14 25 23 11 9 10 9 6 3 8 7 6 3 4 5 6 7 6 6 6 6 6 5 8 15 14 13 16 12 7 7 11 14 14 12 9 6 0 -3 3 7 7 6 7 6 6 6 8 9 9 13 8 1 8 13 8 2 -3 -5 -1 2 6 9 9 5 6 14 13 5 7 12 12 10 7 3 -0 0 3 6 5 6 8 5 3 12 23 12 3 0 -0 -3 -1 4 4 3 9 14 16 16 14 14 15 15 12 9 7 5 6 5 3 2 3 6 7 6 7 14 22 16 6 5 6 5 5 5 4 4 4 4 5 5 4 5 5 4 5 5 4 4 4 4 4 4 4 5 4 4 4 5 4 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 3 4 4 5 6 6 6 5 4 4 5 5 4 3 4 7 9 10 9 7 6 5 5 6 7 7 7 6 6 6 6 7 7 7 7 7 8 7 6 5 5 5 5 5 5 5 6 6 5 4 4 4 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 7 8 10 12 14 15 16 17 16 15 12 9 7 6 5 4 4 4 5 4 4 6 9 11 12 12 12 11 8 6 5 5 4 4 5 8 10 10 10 8 8 7 6 6 8 9 8 6 4 2 1 2 2 3 3 3 3 3 3 4 5 7 9 10 9 8 6 5 5 5 4 4 3 3 3 3 4 4 4 4 3 3 3 4 4 5 4 4 5 5 6 7 7 8 8 7 6 5 6 7 10 15 20 22 16 8 5 2 2 3 5 5 7 7 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 5 5 5 4 4 4 5 6 7 8 8 6 6 4 4 3 3 4 5 6 7 7 8 8 7 5 5 6 7 8 7 5 5 4 5 4 4 4 6 6 7 8 8 8 7 5 4 3 2 2 3 3 4 4 4 4 3 3 3 4 4 4 5 5 6 6 5 4 3 2 2 2 2 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 3 4 4 5 5 5 5 5 6 7 6 6 6 7 6 6 6 6 5 5 5 6 7 8 7 5 5 8 17 26 21 11 9 9 7 9 17 20 8 4 2 3 4 5 6 6 6 6 6 6 9 16 18 11 12 15 11 9 10 13 15 14 11 6 2 0 6 8 5 5 8 8 10 9 4 8 11 16 18 3 -2 7 7 1 -1 -3 -2 5 7 8 11 7 -2 -2 6 -0 3 11 14 9 4 2 2 5 9 13 13 8 11 13 3 -0 5 13 13 9 7 2 3 6 5 6 10 13 11 8 9 14 16 15 13 10 8 6 4 6 5 2 1 3 5 6 6 7 14 25 20 7 5 6 5 5 5 5 4 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 6 5 5 4 3 3 4 4 4 5 5 6 6 5 5 4 4 4 3 3 4 4 7 8 8 7 6 5 6 6 7 7 7 6 6 6 6 6 6 6 6 7 6 6 5 5 5 4 5 5 5 5 6 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 9 12 14 16 18 18 19 18 16 13 9 7 7 6 5 4 5 5 3 4 7 9 10 10 11 11 9 8 6 5 5 4 4 4 4 5 7 7 7 7 6 6 8 12 14 14 12 9 4 2 2 3 3 3 3 3 4 4 3 4 5 7 9 10 10 8 6 5 5 4 4 3 2 2 3 4 6 6 6 4 3 3 4 5 5 5 5 5 5 6 6 6 7 8 8 6 7 7 7 7 10 15 19 16 12 6 3 2 2 3 4 6 7 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 6 6 7 6 5 5 5 6 6 6 6 5 4 3 3 4 5 6 8 7 7 8 8 7 5 4 4 6 7 7 7 6 5 5 4 4 5 6 7 7 7 7 7 5 4 4 3 2 3 4 5 5 5 4 4 4 4 3 4 4 5 5 5 6 7 6 6 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 3 3 2 2 2 3 3 4 4 4 4 4 5 5 6 5 6 6 6 6 6 6 6 5 5 7 8 9 8 6 5 7 10 19 25 18 10 7 7 9 13 19 14 7 4 1 1 3 4 5 5 6 6 6 8 14 19 15 11 12 10 11 14 15 17 16 11 7 4 -1 3 13 11 1 3 6 7 9 7 2 5 10 16 17 5 7 12 4 -2 -2 -0 7 13 10 9 10 4 0 -0 -3 -4 5 13 12 7 3 1 3 7 12 17 17 12 11 8 2 -1 -6 -0 7 12 15 8 3 3 4 8 13 12 7 2 6 13 16 15 12 9 8 6 4 6 5 1 1 4 6 6 6 8 13 24 22 9 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 6 6 6 6 7 6 5 4 4 4 4 3 4 4 4 5 6 6 6 5 3 2 3 4 4 4 5 6 7 6 6 6 5 6 6 7 7 6 6 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 5 5 4 4 5 5 5 6 5 6 5 6 6 6 6 6 6 6 8 10 12 15 16 19 18 16 17 18 17 14 10 8 7 7 6 6 5 4 2 3 6 7 8 8 9 9 8 8 7 6 6 6 5 5 5 5 6 6 7 6 5 5 7 12 17 18 16 12 6 3 3 3 3 3 3 3 4 4 4 4 4 5 7 9 10 10 8 7 6 4 3 4 3 2 3 5 7 8 8 6 4 3 3 4 5 5 5 5 5 6 5 6 6 7 8 8 8 7 7 7 7 9 13 14 12 8 5 4 2 2 2 4 5 5 5 4 3 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 7 7 9 9 9 8 6 6 5 5 5 5 5 4 3 3 4 6 7 8 8 7 7 8 8 6 4 4 5 7 7 7 6 5 5 5 5 5 6 7 7 7 6 6 5 4 4 4 4 5 5 5 5 5 5 4 4 4 3 4 4 5 4 5 6 7 7 7 6 5 4 4 3 4 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 9 10 9 6 4 7 11 15 23 25 16 9 7 5 9 10 8 2 5 4 1 0 1 2 4 5 6 7 7 10 16 16 10 10 9 7 10 15 15 17 16 7 6 5 1 5 9 7 2 3 3 5 7 4 2 2 9 8 3 4 11 4 -3 0 3 6 12 14 10 9 8 4 5 4 1 5 12 14 10 7 4 2 1 4 8 12 13 10 5 2 3 2 -5 -5 2 9 13 8 2 5 8 11 12 8 1 -0 7 13 15 14 11 9 8 7 6 6 4 1 1 5 6 6 5 7 13 24 24 11 5 5 6 5 5 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 4 5 5 5 5 6 6 6 7 7 6 5 4 4 3 4 3 3 4 3 4 5 6 6 5 3 2 2 4 4 4 4 5 5 6 5 5 5 6 6 7 6 6 6 5 4 4 5 4 4 4 4 4 4 5 5 6 6 5 5 6 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 8 10 13 14 17 19 21 18 13 13 16 17 14 10 8 7 7 6 7 6 3 0 2 5 6 7 7 8 8 9 9 9 9 8 7 7 7 7 7 6 7 8 7 4 5 6 9 15 18 18 16 10 5 2 2 2 2 2 3 4 4 5 4 4 4 5 7 9 10 10 9 7 6 4 4 4 3 4 5 7 9 9 7 4 3 3 4 5 5 5 5 6 5 5 5 5 6 6 8 8 7 7 7 7 7 8 11 11 8 6 5 3 2 2 3 3 4 4 4 3 3 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 8 9 9 10 10 9 7 6 6 6 5 4 4 3 3 4 5 7 8 8 6 6 7 8 8 5 4 5 6 7 6 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 6 6 6 6 6 5 6 6 6 5 4 3 3 4 4 4 5 6 7 8 9 8 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 3 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 5 6 6 7 10 11 10 6 4 6 12 18 24 29 22 13 9 5 -0 3 0 -4 -0 4 2 -0 -1 0 1 3 5 7 7 7 10 14 13 9 9 7 6 7 8 10 13 14 8 7 6 5 4 4 11 15 10 4 4 6 4 2 2 7 5 -7 -4 1 -5 -2 6 9 9 10 9 6 5 5 5 5 6 7 14 17 15 10 3 1 0 -2 1 6 9 12 8 1 -0 5 9 8 3 6 8 5 2 4 12 14 11 8 3 0 5 11 11 12 11 10 9 9 8 8 7 3 2 3 5 6 5 4 6 16 27 24 11 4 5 6 6 6 5 5 5 5 4 4 5 4 4 5 5 5 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 6 5 5 4 3 3 4 3 4 3 3 3 4 7 7 5 3 3 3 3 3 4 4 5 5 5 5 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 7 8 10 13 15 16 17 20 21 18 14 12 13 14 12 9 7 6 6 6 7 8 4 -0 2 5 7 7 7 8 9 10 11 12 11 11 11 10 9 9 8 6 6 7 8 7 6 6 7 10 15 18 19 16 9 2 2 2 2 2 2 4 5 5 5 4 4 4 6 8 9 10 10 8 7 5 5 4 5 5 5 6 6 7 5 4 3 2 3 4 5 5 5 5 5 4 5 5 5 5 6 7 8 8 8 8 7 7 8 9 7 6 4 3 3 3 2 3 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 6 6 6 7 7 7 8 8 9 9 8 8 7 6 6 5 5 4 4 5 7 8 8 6 5 6 8 8 7 5 4 5 6 5 5 4 4 4 4 4 5 6 6 6 5 5 5 6 6 6 7 7 7 6 6 6 7 7 6 4 3 3 3 4 4 5 6 7 8 9 9 7 5 5 5 5 5 4 4 3 2 2 3 4 5 5 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 4 4 5 5 5 5 6 7 9 12 12 8 4 5 13 21 27 31 28 15 8 4 -4 -8 -4 -7 -7 0 3 -1 -2 -1 -0 2 4 6 7 8 8 9 12 14 13 11 10 9 7 4 4 6 10 10 9 8 10 3 7 14 15 13 9 4 3 3 3 7 7 4 -3 -3 -0 -1 6 7 7 7 6 5 4 3 4 4 5 7 11 14 15 14 8 -1 -1 -2 0 4 7 8 7 2 -2 2 7 10 15 11 10 9 3 -0 4 9 9 11 7 2 8 19 15 8 9 9 8 8 8 9 9 8 5 4 5 5 5 4 4 10 23 29 19 7 4 5 5 6 6 5 5 5 4 4 4 5 5 4 5 5 5 4 4 4 3 3 3 3 3 4 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 5 4 4 3 3 4 4 4 4 3 3 4 6 6 5 4 4 4 3 3 3 4 5 5 5 4 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 11 14 15 16 17 16 18 19 17 13 11 10 8 8 7 5 4 3 4 6 8 5 2 3 6 6 7 7 8 9 9 10 11 11 11 11 10 9 8 7 6 5 6 7 6 7 7 6 6 11 15 18 17 11 7 6 5 5 3 3 4 4 4 5 5 4 4 5 6 7 9 10 9 8 7 5 5 5 6 5 5 4 3 3 3 3 3 2 3 4 5 5 4 4 4 5 5 5 5 5 6 7 9 10 9 7 7 8 7 7 5 3 4 5 4 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 5 5 5 6 5 5 6 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 7 6 6 9 10 9 6 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 7 7 7 6 7 6 5 4 4 4 4 5 5 6 7 7 8 7 6 6 5 5 5 5 5 5 4 2 2 4 5 6 5 5 5 5 4 4 3 3 3 2 2 3 3 3 3 3 3 4 4 5 4 5 6 7 11 13 10 5 5 12 23 29 27 24 18 8 2 -1 -8 -7 -6 -6 -3 0 -1 -3 -3 -1 0 2 5 6 7 7 8 9 11 15 17 15 13 14 13 8 3 3 6 9 7 9 9 2 9 6 6 11 12 5 0 0 4 8 4 1 6 9 8 8 10 7 4 3 4 5 5 6 6 6 5 7 10 8 8 9 7 4 3 -0 6 12 13 10 2 -6 -4 6 4 1 8 12 10 11 6 4 4 7 8 8 2 3 19 27 17 8 8 9 8 7 8 10 11 9 7 6 6 6 5 4 5 15 29 26 11 4 4 5 6 6 6 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 4 4 3 3 3 4 5 5 5 4 3 4 4 5 4 4 4 4 3 3 3 4 4 4 4 4 5 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 7 7 9 11 14 17 17 17 16 14 13 15 14 10 9 8 7 7 6 5 3 3 4 6 8 6 4 5 6 5 6 6 7 7 7 7 8 9 8 8 7 7 6 5 6 6 8 10 5 4 6 6 5 6 8 12 13 12 10 8 8 9 9 7 5 3 3 4 5 5 4 4 5 6 8 9 9 9 7 6 5 6 7 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 6 8 9 10 9 8 8 8 7 5 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 1 2 3 5 4 5 5 5 5 5 5 5 6 6 7 8 8 8 10 12 11 9 8 8 8 7 6 6 6 10 13 13 9 5 4 5 5 5 5 5 4 4 3 4 4 5 4 4 4 4 4 5 6 6 8 9 9 8 8 7 6 6 5 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 2 3 4 6 7 6 5 5 5 5 4 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 5 6 9 12 12 7 4 9 20 28 28 21 11 5 2 4 7 5 5 -0 -2 -1 -3 -4 -4 -3 -1 1 3 5 7 8 7 9 12 14 18 18 13 11 14 16 13 7 4 5 8 6 8 6 7 7 6 7 9 11 3 -3 -1 6 8 3 3 11 13 7 10 6 5 4 3 4 5 6 8 8 6 5 7 7 3 3 5 5 9 3 2 10 15 19 16 3 -6 -1 12 12 2 -1 3 11 11 6 6 4 7 18 9 3 12 24 22 13 8 7 9 10 9 9 11 11 9 7 6 7 6 5 4 7 20 30 21 7 4 4 5 6 6 6 6 6 5 5 4 4 5 4 4 4 4 5 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 6 5 4 4 3 3 3 4 4 6 6 6 5 4 3 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 7 8 10 14 17 18 18 17 14 10 7 8 10 9 7 8 8 7 7 6 5 6 6 7 7 7 6 6 5 5 5 5 5 6 6 5 4 5 4 3 3 4 4 4 5 6 9 12 7 2 6 6 5 6 6 7 8 8 8 8 9 12 16 17 11 5 3 4 4 5 5 4 4 5 6 7 8 8 8 6 5 6 6 6 6 5 4 4 4 4 5 4 4 3 4 4 4 4 3 3 4 5 4 4 4 4 5 7 9 10 10 10 10 9 7 5 3 2 3 4 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 9 12 15 14 11 9 7 6 6 5 6 9 14 17 14 8 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 6 8 9 10 8 7 6 5 5 5 4 4 5 6 6 6 5 6 6 6 5 5 4 4 4 4 5 4 4 3 2 3 6 7 7 6 5 6 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 4 5 4 5 8 11 13 11 6 7 15 20 22 24 21 9 -1 3 16 20 17 13 4 -1 -5 -7 -6 -4 -2 -0 2 4 5 7 8 10 14 16 18 19 15 10 9 11 13 13 10 5 6 10 10 6 7 13 9 8 0 0 5 3 -2 3 11 12 6 6 9 7 3 9 10 7 6 6 5 4 7 8 7 6 8 10 7 4 8 5 1 4 -3 -0 6 10 13 9 3 3 7 14 13 4 -1 1 9 10 8 6 7 11 16 7 11 21 21 14 9 7 7 8 9 9 9 9 8 6 6 6 7 8 6 5 11 25 28 16 6 4 5 6 6 6 6 7 6 6 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 3 3 3 2 3 3 4 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 6 7 6 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 7 9 13 17 18 18 17 15 14 11 4 3 6 7 7 7 7 7 7 8 8 7 8 7 7 7 7 6 5 5 5 5 5 5 6 6 4 3 2 1 1 0 1 3 5 7 8 8 8 5 6 7 6 7 6 6 7 7 7 7 8 11 19 26 22 10 4 3 4 5 5 5 4 4 5 6 7 7 7 7 6 5 5 5 5 6 6 6 5 5 6 5 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 6 8 10 10 11 11 10 7 4 1 2 3 2 2 2 1 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 5 4 5 5 5 5 6 6 7 9 9 9 7 6 6 10 13 13 11 9 7 5 5 4 4 6 11 17 17 11 6 6 6 6 7 8 7 7 6 6 6 5 4 4 3 3 3 4 4 6 8 9 9 8 6 4 4 5 4 3 4 4 4 5 5 5 4 5 5 4 4 4 4 4 4 3 3 2 2 2 3 5 7 7 6 6 6 5 5 4 3 3 3 2 2 2 2 2 3 3 3 4 4 4 5 8 12 15 15 10 7 11 13 11 14 21 23 15 8 8 14 15 12 6 -2 -7 -9 -8 -4 -2 -1 1 3 5 6 7 9 17 21 19 18 15 12 11 11 11 11 14 11 5 7 11 10 8 8 5 3 3 -6 -6 -1 3 -0 6 15 13 5 4 5 6 7 8 9 5 4 5 5 5 5 4 5 6 11 14 12 9 11 5 1 1 2 5 0 2 5 2 4 8 11 13 8 1 1 3 5 10 13 6 6 12 3 2 16 20 15 8 7 8 8 8 8 9 8 7 5 4 5 6 8 9 8 7 14 26 27 13 4 5 6 6 6 6 7 6 6 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 5 5 4 5 5 5 4 4 3 3 3 3 2 3 4 4 4 5 4 4 3 3 3 3 4 5 5 4 4 3 3 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 7 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 6 8 11 15 17 17 16 13 10 12 16 11 5 6 6 6 7 8 7 7 11 13 9 8 8 8 9 9 6 4 5 5 5 5 5 5 7 8 6 5 4 4 2 -0 1 4 6 8 6 5 7 7 7 7 7 7 7 8 9 8 6 6 8 14 24 27 20 9 3 3 4 5 5 4 4 5 5 6 6 7 6 6 5 5 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 4 2 2 3 5 7 9 10 10 11 12 9 5 5 4 3 2 1 1 0 -0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 5 4 4 5 5 5 6 6 8 10 12 12 9 7 6 7 8 9 8 8 7 5 4 4 4 5 8 13 16 14 9 6 7 7 8 8 8 8 7 7 7 6 5 4 3 3 3 4 5 6 8 9 8 6 4 3 3 3 3 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 1 1 3 4 5 5 6 6 5 5 5 4 4 3 3 3 2 2 2 2 3 3 4 4 4 5 8 14 19 20 17 9 5 9 9 5 11 18 19 17 18 11 5 -1 -3 -8 -11 -11 -8 -4 -2 -1 1 3 5 7 8 8 13 21 21 16 13 11 11 14 11 10 13 16 10 5 6 7 5 8 5 -4 1 7 1 -3 -0 5 3 4 13 8 1 -0 1 4 6 1 -0 -1 -1 3 4 5 3 2 7 6 8 13 13 12 11 7 2 -1 12 14 2 4 4 2 8 10 10 10 7 5 5 3 2 13 18 4 1 5 0 6 21 19 11 7 8 9 8 7 8 8 7 5 3 3 4 5 8 10 10 10 14 25 27 14 4 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 4 5 5 5 5 6 5 5 5 5 6 6 6 6 5 6 8 12 15 16 14 12 9 6 4 12 15 8 7 6 6 7 8 4 5 14 20 15 9 8 7 8 8 5 4 4 4 4 4 4 4 6 7 8 8 7 7 5 3 3 3 4 5 5 5 6 7 7 7 7 7 7 8 8 8 7 6 7 10 16 23 25 18 8 4 3 3 3 3 4 5 5 5 5 6 6 6 5 5 4 5 5 6 6 7 7 5 5 6 6 5 5 5 4 5 4 4 3 3 4 5 4 2 1 1 2 4 5 6 8 10 14 14 13 11 8 5 4 2 1 -0 -0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 5 5 5 5 5 5 6 8 9 12 12 10 8 7 6 5 5 6 6 6 6 5 5 5 5 6 10 15 15 11 7 7 8 8 8 8 7 7 7 7 8 7 7 6 5 4 5 5 6 7 8 7 5 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 2 3 4 4 5 5 5 5 4 4 4 4 3 3 2 2 2 2 3 3 4 4 5 9 15 20 20 17 12 4 -0 6 8 3 6 11 11 13 15 3 -10 -16 -14 -13 -12 -8 -3 -1 1 1 3 5 7 10 12 13 16 18 14 11 9 10 10 9 6 4 14 18 11 4 1 2 6 11 5 2 7 12 7 5 6 9 6 3 13 6 -2 -3 0 0 -3 -3 -0 -1 -1 3 4 3 3 6 11 8 6 9 12 14 13 7 -0 1 14 13 8 10 3 1 11 13 7 4 5 9 9 3 0 15 14 5 6 10 11 14 20 17 10 8 10 9 8 7 7 8 7 4 3 2 2 3 6 9 10 9 13 24 29 16 6 6 7 6 6 6 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 5 5 6 6 6 6 5 6 6 5 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 9 12 14 13 10 9 9 5 -0 3 9 9 7 6 6 7 6 0 -2 7 19 18 11 7 5 5 5 5 5 4 4 4 4 4 4 5 5 6 7 8 7 6 5 5 5 3 3 4 4 4 5 6 6 7 6 7 6 7 7 7 7 7 8 9 14 20 22 16 10 6 5 5 5 4 4 4 4 4 5 5 5 6 5 5 5 5 6 6 6 6 5 5 5 5 6 5 5 5 4 4 4 4 3 3 4 3 3 1 1 1 1 1 3 5 6 9 14 17 16 13 9 6 3 2 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 8 8 9 9 8 9 11 12 14 15 16 15 15 16 14 9 4 2 2 4 7 10 14 16 18 16 12 9 6 5 4 5 5 5 4 4 4 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 7 8 8 7 7 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 9 8 6 10 15 13 6 2 1 1 2 4 10 10 7 4 3 6 6 5 3 7 11 10 15 16 14 12 11 10 10 10 11 12 14 18 21 19 16 17 14 8 4 5 5 5 6 6 7 7 4 6 13 13 13 10 8 7 6 7 5 4 7 4 1 4 7 -1 -2 3 2 3 7 9 6 5 8 15 16 8 1 3 5 7 10 9 8 11 11 8 11 20 23 13 9 12 9 3 2 -4 2 8 5 -2 -2 5 10 2 5 15 18 16 10 3 3 3 3 4 6 7 8 7 6 6 4 5 6 6 7 7 7 7 7 6 5 3 1 0 1 3 6 8 12 15 18 20 16 9 6 5 5 5 5 4 4 4 5 6 7 7 7 6 5 3 3 4 4 5 5 5 5 7 7 6 6 5 5 5 4 4 3 2 3 3 4 4 5 5 6 6 6 6 6 5 5 5 4 3 3 4 5 5 6 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 7 9 12 14 15 16 13 5 4 7 7 7 6 5 5 4 5 6 6 5 6 6 3 -1 2 6 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 5 4 4 4 5 5 5 5 5 5 6 6 7 8 8 7 10 19 29 34 30 18 8 4 3 3 3 3 3 4 4 5 4 4 4 4 4 4 6 9 10 8 5 4 5 6 7 7 7 7 7 6 4 4 4 3 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 7 7 8 10 11 12 11 11 12 14 16 14 9 5 3 3 4 6 9 12 15 17 14 11 9 7 6 6 5 5 5 5 5 5 5 6 5 5 6 5 5 5 6 6 6 7 7 8 8 7 7 6 6 5 5 5 5 4 5 4 4 4 4 4 4 5 6 6 7 8 8 8 7 7 7 7 6 7 7 7 7 7 7 8 8 7 7 6 6 6 8 8 8 7 8 6 3 4 3 3 3 4 5 7 9 6 -1 3 12 13 11 8 7 8 10 15 18 17 16 15 14 14 13 13 14 17 16 13 10 10 14 12 6 4 7 9 10 11 11 10 7 4 5 8 10 8 9 15 16 17 13 2 -1 3 4 8 13 11 -1 2 5 1 5 8 8 4 1 7 16 16 10 6 6 4 8 12 9 7 8 9 9 11 17 21 15 9 6 5 6 1 -1 8 9 2 -5 -4 6 12 6 7 13 12 8 4 1 3 7 10 8 6 7 7 6 6 5 4 5 6 6 6 6 6 5 5 6 6 5 1 0 1 3 5 5 6 8 14 19 18 16 14 8 5 5 4 3 3 4 5 6 7 8 7 6 5 3 3 4 4 4 3 3 5 6 6 5 5 5 5 5 4 4 3 3 3 4 4 4 5 6 6 6 6 7 6 6 6 4 4 4 4 4 5 5 6 6 5 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 3 4 4 4 5 5 7 10 13 14 15 14 11 6 6 7 7 6 6 6 5 5 6 6 6 5 6 5 1 -1 3 7 8 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 6 6 6 7 7 7 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 6 6 6 7 8 12 25 35 32 20 11 7 4 4 5 5 4 4 4 5 4 4 4 3 3 6 9 10 8 6 4 4 5 7 7 7 7 7 8 7 7 6 6 5 4 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 6 7 8 8 10 10 9 8 8 10 13 14 11 8 6 5 5 5 5 8 12 14 13 12 10 9 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 5 5 5 6 7 8 9 9 8 7 6 6 5 5 5 4 5 5 5 4 4 4 4 4 4 5 6 7 8 8 8 7 7 7 7 9 10 10 9 7 6 6 7 7 7 7 6 6 7 8 9 9 8 4 -2 -1 3 4 3 4 4 4 8 11 5 -3 9 22 21 11 9 12 14 13 17 20 19 19 18 17 16 15 15 17 17 12 8 9 11 13 11 7 5 7 8 11 14 14 12 6 4 5 4 6 7 11 19 18 18 14 5 5 9 6 8 14 12 7 5 4 5 5 7 7 2 -0 9 18 12 6 8 6 3 4 7 5 5 7 9 10 11 16 20 13 6 4 7 10 -1 8 16 8 0 -8 -8 4 13 15 13 9 8 5 1 1 7 14 15 10 7 7 7 6 5 4 5 6 6 6 6 5 5 5 4 4 5 6 4 3 4 5 5 4 4 6 9 12 15 22 22 11 6 6 4 3 2 4 6 6 7 7 6 6 5 4 4 5 5 4 2 3 5 6 5 4 5 5 5 5 4 3 3 3 3 4 4 4 5 7 8 8 8 7 6 5 5 4 4 3 4 4 5 6 6 6 5 5 4 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 4 4 4 5 5 7 10 13 14 15 14 11 7 7 7 5 6 6 5 6 8 8 7 5 5 4 2 -3 -1 4 7 7 8 7 7 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 6 5 4 4 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 6 5 5 5 6 6 5 6 11 22 30 29 24 19 12 8 7 6 4 4 4 4 4 4 4 3 4 5 6 8 7 5 4 4 6 7 7 7 7 7 8 8 8 8 8 6 6 5 5 5 6 6 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 11 10 8 8 15 18 17 15 13 13 13 6 7 16 17 15 16 15 12 7 6 6 10 15 16 13 6 5 6 11 11 11 11 11 12 13 12 14 16 15 16 19 19 16 12 10 10 12 13 13 14 14 13 13 13 14 15 16 13 10 8 7 7 7 8 10 10 9 8 9 10 10 13 15 14 12 12 13 14 15 14 12 11 9 8 8 8 7 7 8 10 12 12 11 10 10 11 10 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 11 10 10 10 10 10 11 12 13 12 12 11 11 12 14 16 12 11 12 13 13 14 14 13 12 11 12 14 15 15 14 13 13 14 15 13 12 12 12 12 12 13 14 15 14 14 14 13 13 12 13 14 13 12 12 12 12 11 10 11 13 14 15 14 13 10 7 4 6 13 17 15 14 14 15 17 18 18 17 16 17 17 17 17 16 16 17 18 20 22 22 22 20 18 17 16 15 16 17 18 19 19 18 18 19 19 18 16 15 16 17 18 20 18 16 15 15 16 17 18 18 17 16 17 17 17 16 16 16 18 19 19 17 14 13 13 13 13 14 13 13 13 13 14 14 13 13 14 14 15 14 14 14 13 12 12 12 12 12 13 12 13 13 13 13 13 12 11 11 12 11 11 11 11 11 11 11 10 10 10 10 11 12 13 14 15 15 13 10 10 10 10 10 10 10 10 10 10 11 10 11 10 10 10 10 10 10 11 10 10 11 12 11 12 12 11 10 9 10 11 12 12 12 11 11 10 10 10 11 11 12 13 14 14 14 14 14 13 12 12 11 11 12 12 12 13 13 14 16 15 13 13 16 16 12 9 5 2 3 7 12 13 13 12 11 11 13 14 14 14 14 15 17 18 20 24 25 22 20 18 17 17 15 14 13 13 13 14 16 16 17 18 17 15 13 11 11 12 12 11 12 11 11 11 12 12 12 12 12 14 14 13 12 11 11 13 14 13 13 13 12 13 15 15 15 15 14 14 14 16 20 23 21 14 7 9 12 15 13 12 13 14 15 14 13 12 14 15 15 15 15 16 16 16 15 15 13 12 12 13 13 12 13 12 13 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 5 1 10 18 20 15 13 11 15 14 8 7 8 12 15 14 11 8 8 9 10 12 13 12 12 12 10 11 13 12 11 13 16 17 14 11 11 13 14 15 15 14 14 13 14 15 17 19 16 11 7 4 5 7 10 12 10 8 7 8 10 12 13 13 14 14 14 15 15 16 16 15 14 14 13 11 8 7 7 9 11 11 11 11 10 10 11 11 11 11 11 12 12 13 12 12 13 13 13 13 13 12 12 12 10 10 10 11 11 12 13 12 12 12 12 12 12 13 14 13 12 11 12 14 15 15 13 12 14 15 14 14 14 14 14 13 13 14 14 12 12 13 12 11 12 13 14 14 14 13 13 13 13 13 13 13 12 12 13 12 11 11 12 13 14 14 14 12 10 5 3 6 14 19 17 15 14 15 18 20 19 19 18 17 18 17 17 17 19 20 22 24 26 25 23 21 19 17 17 17 18 18 17 16 16 15 15 17 16 16 15 14 14 14 15 17 18 16 14 15 15 16 19 20 18 17 16 15 14 13 11 7 6 8 11 15 16 16 15 15 14 14 14 14 14 14 13 14 13 14 15 15 15 15 15 14 13 12 13 13 13 12 12 13 14 14 14 13 13 12 11 11 11 11 11 11 11 11 12 11 10 10 11 11 13 15 16 16 14 13 10 9 8 8 9 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 11 10 10 10 11 11 12 11 10 10 9 10 11 12 12 12 11 10 10 10 11 12 12 11 13 13 13 13 13 13 13 12 12 11 11 11 12 13 13 13 14 14 15 15 15 15 11 6 3 2 4 8 12 14 14 12 10 10 11 14 14 15 14 14 15 17 19 22 26 24 19 17 15 16 16 15 14 14 14 13 14 14 14 14 14 13 12 12 12 11 12 13 12 12 12 11 12 12 12 12 12 12 13 14 12 11 11 12 14 15 14 13 13 12 13 14 15 16 15 15 14 14 15 19 21 19 13 8 10 12 13 13 13 13 14 14 13 13 13 14 15 15 14 15 16 16 16 15 15 13 12 12 13 13 13 14 15 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 19 11 8 13 12 11 8 9 9 11 11 11 10 12 11 10 11 14 13 12 12 13 12 11 9 9 10 13 16 14 11 12 14 15 17 17 16 15 13 15 16 18 18 15 11 7 5 8 12 14 13 12 10 10 10 12 13 13 13 13 13 13 14 14 15 16 16 17 16 14 11 8 7 7 10 11 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 12 11 10 10 11 13 14 13 13 12 11 12 12 12 12 12 13 13 13 13 15 15 14 13 13 14 16 15 15 13 12 13 13 14 15 14 14 13 13 13 12 12 12 13 13 13 14 14 13 13 13 13 12 12 13 13 13 11 11 12 13 13 14 13 13 13 12 10 10 12 16 15 11 10 17 24 23 23 22 21 20 19 19 19 19 20 24 26 27 28 29 28 25 22 20 19 19 18 19 18 17 16 16 15 15 16 16 16 16 16 14 14 15 16 17 17 17 16 15 13 16 18 17 15 13 12 11 12 12 8 5 6 7 11 14 16 17 16 15 16 16 15 15 15 14 13 14 14 14 14 15 15 14 13 13 13 12 12 12 13 13 12 12 12 11 11 11 12 12 12 11 11 11 11 12 12 12 11 11 12 12 14 15 15 15 13 9 8 8 8 8 9 10 11 11 11 10 9 10 10 10 9 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 13 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 11 12 12 13 13 13 15 16 17 17 16 13 9 6 6 9 13 15 15 13 12 11 10 11 12 14 15 14 14 15 15 17 20 23 24 21 17 15 15 15 13 13 13 14 15 15 14 13 12 12 12 11 11 11 11 12 13 13 12 12 11 11 12 13 13 14 13 12 13 13 11 10 11 14 15 15 14 13 12 13 12 13 14 14 16 16 16 16 14 15 21 18 13 11 11 11 10 12 13 13 13 13 13 14 14 14 15 15 14 15 15 15 16 16 15 13 12 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 nan nan nan nan nan nan nan nan nan nan nan nan nan 8 11 13 13 12 13 12 10 10 11 11 12 12 12 13 15 13 10 10 12 14 13 13 14 14 14 14 14 14 13 12 11 11 12 12 12 11 10 11 13 13 12 11 10 9 11 12 12 12 13 13 13 12 12 12 12 13 13 14 14 14 11 9 7 6 8 9 9 9 10 10 11 11 12 12 11 11 11 12 13 12 13 13 12 12 13 13 13 13 12 11 11 11 13 14 15 14 14 12 11 11 12 13 13 13 14 13 12 12 13 14 14 14 15 15 15 14 14 12 11 12 14 15 15 14 14 14 14 13 12 12 12 12 13 13 14 14 14 13 14 14 13 13 13 13 13 12 12 13 13 14 14 13 13 13 13 14 14 14 14 9 3 2 21 36 31 28 27 27 27 25 24 24 26 29 31 32 31 31 30 27 23 21 20 20 20 21 23 25 21 17 17 17 16 15 15 14 14 14 14 13 13 13 14 15 15 15 14 14 15 16 16 15 14 14 13 13 13 13 10 8 7 8 10 12 15 15 15 15 15 15 15 15 14 13 13 13 12 13 14 14 14 13 13 13 13 13 13 13 13 12 11 11 11 11 12 12 12 12 11 11 12 12 12 12 11 12 13 14 16 17 15 13 11 9 8 8 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 10 10 10 9 10 10 10 10 11 10 10 11 12 13 12 12 11 11 11 11 12 11 11 10 11 12 12 13 14 13 12 12 12 11 11 11 12 13 13 13 13 15 18 18 16 15 13 11 10 9 10 13 14 14 13 12 11 11 12 12 13 14 14 15 15 14 15 18 21 25 25 21 17 15 14 12 12 12 13 13 13 12 12 11 11 10 11 11 11 11 12 12 13 12 12 12 11 11 12 13 13 14 14 14 14 13 11 10 12 15 16 15 13 11 12 13 12 13 14 14 15 15 16 17 16 17 19 19 16 13 10 10 10 13 15 15 12 11 12 14 14 13 14 14 14 14 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 10 12 13 12 12 13 14 13 11 11 13 15 16 15 14 13 12 12 12 12 11 10 9 8 7 8 9 11 13 16 15 12 11 8 7 7 10 12 12 11 11 13 13 12 11 11 11 11 12 13 13 13 11 9 8 6 5 8 10 11 11 12 12 12 11 10 11 11 11 12 12 13 13 12 12 12 12 13 13 13 12 12 12 14 15 14 15 15 15 14 13 12 11 13 14 15 14 13 12 12 13 14 15 15 15 15 14 13 12 12 13 13 14 15 14 14 14 14 14 13 12 12 12 13 14 13 14 15 14 13 14 14 14 13 13 13 13 12 12 13 13 13 14 14 14 14 13 14 14 13 11 5 -6 -9 15 40 43 41 37 36 36 35 33 31 31 33 33 32 30 28 25 21 18 17 17 15 13 16 25 32 28 20 19 17 14 14 14 14 13 13 14 14 13 12 12 12 13 13 13 15 14 14 13 13 13 12 12 11 10 10 9 9 9 9 10 10 12 14 14 14 14 14 14 13 14 14 13 14 14 13 14 14 14 14 14 14 14 14 14 13 13 12 11 12 11 11 12 12 12 13 13 14 14 15 15 15 16 17 17 17 15 14 13 10 9 9 9 10 10 10 11 11 12 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 11 12 12 13 13 12 11 11 11 11 11 11 10 11 11 12 13 14 14 13 13 12 12 13 13 12 12 13 13 13 13 14 16 17 16 12 9 10 11 10 10 11 12 13 13 12 12 12 13 13 13 14 15 15 14 15 15 16 18 23 26 25 22 18 14 12 12 11 11 12 12 12 10 10 9 9 10 11 12 12 12 12 11 11 11 12 12 12 13 13 14 14 14 14 13 14 14 12 12 13 14 14 12 12 12 13 13 12 12 14 15 15 15 15 15 15 16 19 20 17 14 12 11 11 13 14 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 6 7 9 12 13 12 11 8 8 8 7 6 7 9 12 16 19 22 25 29 30 28 27 27 26 24 24 24 24 23 20 18 16 15 14 12 11 11 12 11 9 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 5 5 5 4 3 3 3 4 4 6 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 2 8 30 61 75 62 42 31 21 11 14 30 62 96 119 132 132 126 118 111 108 107 105 98 83 69 55 39 20 0 1 0 0 1 3 2 1 0 0 0 0 1 0 1 3 2 0 2 5 9 10 10 16 34 56 81 103 115 111 106 112 119 123 119 111 107 115 113 93 81 104 132 135 132 129 124 120 112 87 67 63 61 61 65 71 72 73 83 98 114 126 141 154 159 152 138 127 117 109 109 120 128 125 nan nan nan nan nan nan nan nan nan nan nan nan 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 9 12 13 13 12 10 9 5 2 2 3 5 9 13 16 20 24 28 30 30 30 30 29 27 24 22 20 18 16 14 12 11 10 9 9 9 9 9 8 7 6 6 5 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 3 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 5 5 5 5 5 4 4 4 5 5 6 12 14 12 9 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 1 9 34 64 67 45 28 21 11 1 1 7 26 58 86 107 119 120 113 106 103 104 105 102 96 86 76 62 46 26 9 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 3 2 3 1 2 6 22 50 73 105 120 113 111 116 120 123 128 133 138 135 129 137 162 180 179 166 152 139 132 124 105 86 79 78 84 93 90 80 73 72 76 86 100 118 135 147 146 134 118 105 96 94 102 110 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 7 6 6 7 9 11 13 14 14 12 7 2 0 1 3 9 14 17 19 21 22 26 29 31 32 31 28 24 22 20 18 17 15 13 12 12 11 10 10 11 10 10 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 6 5 5 5 5 5 6 6 6 6 6 6 11 16 17 12 5 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 9 36 64 58 33 16 9 4 0 0 0 4 13 46 75 97 107 107 102 99 100 105 108 106 99 92 82 71 59 44 26 12 6 2 0 0 0 0 0 1 4 9 10 6 3 1 7 8 3 0 0 0 2 9 37 66 98 125 123 114 112 114 118 126 132 133 132 135 146 162 177 186 180 167 154 150 148 130 105 89 94 100 101 97 86 74 62 57 57 72 94 114 129 134 125 107 92 84 77 76 79 76 68 nan nan nan nan nan nan nan nan nan nan 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 8 6 6 7 8 8 10 12 14 14 11 8 5 4 4 9 15 18 20 21 22 24 27 29 31 30 27 23 21 20 20 19 17 15 13 13 12 12 12 12 12 11 10 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 1 1 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 5 6 6 6 8 8 7 7 7 7 7 9 15 16 8 1 0 0 0 4 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 6 2 9 37 62 50 25 6 0 0 0 0 0 0 1 9 35 60 81 89 87 85 86 93 106 110 106 101 91 81 74 64 53 39 27 16 8 8 6 8 8 7 15 24 21 11 4 1 4 9 6 0 0 3 18 44 72 100 122 139 134 118 108 105 110 118 126 128 127 128 131 140 156 174 175 167 162 165 169 154 121 99 106 112 108 102 94 80 65 54 53 59 73 91 110 123 117 100 87 79 69 58 49 39 33 nan nan nan nan nan nan nan nan nan nan 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 5 4 7 8 8 7 8 10 12 13 13 10 8 7 9 13 16 19 20 22 23 25 26 28 27 25 22 20 20 21 20 18 15 14 13 12 12 12 12 13 12 12 10 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 8 9 8 7 7 6 7 8 8 9 6 1 0 0 2 8 10 7 6 2 0 0 0 0 0 0 0 0 0 0 0 1 9 17 15 10 4 9 37 54 41 18 8 0 0 0 0 0 0 0 0 6 19 38 54 63 64 64 68 79 91 96 95 88 80 73 66 58 48 42 32 22 20 20 20 18 15 18 26 28 16 2 0 5 21 39 34 7 1 18 79 112 133 144 147 142 128 110 100 102 108 115 118 121 120 121 128 143 160 166 161 162 170 180 170 133 106 110 119 115 107 99 87 72 60 49 44 51 67 89 108 113 104 92 85 77 63 45 27 16 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 8 6 3 6 9 9 7 6 7 8 10 11 11 11 10 10 12 14 17 19 21 22 23 23 24 24 23 21 19 19 19 18 16 13 12 11 11 11 11 11 12 12 12 12 10 6 5 5 5 5 5 5 5 5 5 4 5 5 5 6 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 8 7 7 7 7 7 7 6 6 5 4 2 2 4 10 14 12 7 6 2 0 0 0 0 0 0 0 0 0 0 0 3 21 26 22 16 8 8 36 48 33 9 2 0 0 0 0 0 0 0 0 0 1 4 16 32 40 40 43 48 58 68 71 69 64 60 55 48 41 34 27 24 24 24 21 15 6 3 12 23 27 20 20 21 41 86 93 52 25 44 99 132 144 147 143 142 134 121 111 106 106 111 116 120 121 123 131 145 161 166 164 163 172 177 159 129 112 117 124 118 109 103 93 81 70 57 44 39 49 71 96 110 108 99 92 90 78 54 31 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 11 9 7 5 7 10 10 9 8 7 7 7 8 9 10 11 12 12 13 16 18 20 21 21 21 21 22 21 20 18 16 15 14 13 11 10 10 10 10 10 11 11 11 11 11 10 7 5 4 4 5 5 5 5 5 4 4 4 4 5 5 5 4 3 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 7 4 4 6 7 6 5 5 5 4 3 3 7 14 18 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 25 26 22 15 11 35 42 23 2 0 0 0 0 0 0 0 0 0 0 0 0 0 8 12 13 17 20 29 38 44 45 43 41 37 31 26 19 15 18 27 33 30 24 15 6 2 11 33 52 74 72 76 119 139 122 102 116 132 140 146 141 135 132 128 121 118 117 115 115 119 122 124 130 142 158 171 172 168 167 174 175 158 137 130 132 134 124 114 108 105 99 89 74 56 41 43 63 89 107 111 104 98 97 88 68 42 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 18 17 14 10 8 9 10 10 9 9 8 7 7 7 8 9 10 11 12 12 14 17 18 19 19 19 18 18 18 17 15 13 11 11 11 11 10 10 9 10 10 10 10 10 10 9 8 6 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 3 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 6 2 2 5 5 3 2 4 6 5 3 6 14 22 21 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 19 22 21 18 18 31 33 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 8 16 24 26 25 25 21 14 13 13 13 17 30 41 42 38 32 23 9 7 29 55 86 93 116 133 151 154 150 145 137 140 143 136 128 120 110 104 104 111 119 124 125 124 127 137 152 168 177 174 166 165 172 176 171 163 154 146 142 135 130 127 125 120 110 93 73 56 54 67 87 104 112 110 107 106 100 81 55 30 18 nan nan nan nan nan nan nan nan 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 16 17 15 13 12 12 10 9 8 7 6 6 7 8 8 8 9 10 11 12 14 17 18 18 18 17 16 15 14 13 11 10 10 10 11 11 10 10 10 9 9 9 8 8 8 6 4 3 2 2 2 3 3 4 4 4 4 4 4 4 5 4 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 2 0 1 2 2 6 9 10 8 7 13 22 24 16 9 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 10 11 9 17 26 24 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 0 2 8 14 17 18 18 15 13 12 11 12 14 26 41 45 46 45 38 31 29 37 51 65 75 90 116 139 152 158 160 156 150 147 141 133 120 102 88 85 90 103 120 129 126 128 141 158 173 176 167 157 153 162 171 173 171 163 151 144 141 142 143 140 132 121 106 90 76 74 85 100 111 116 118 119 120 115 97 72 50 40 nan nan nan nan nan nan nan nan 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 9 13 16 18 18 16 12 9 7 7 5 5 6 7 7 7 7 8 9 10 11 14 17 18 18 17 16 15 13 11 10 10 9 9 10 11 12 11 10 10 9 8 7 7 6 5 3 2 0 0 0 0 0 1 2 3 3 3 4 4 4 3 0 0 1 1 1 1 2 2 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 7 16 20 20 15 12 20 25 19 10 8 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 12 22 18 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 8 4 5 9 13 19 22 20 17 14 11 11 10 12 17 29 46 58 67 64 61 62 66 61 58 65 80 99 122 145 162 166 162 156 151 148 145 135 113 92 83 84 94 112 125 128 131 145 162 173 168 155 142 138 147 158 165 165 159 150 143 140 141 141 136 130 123 115 105 98 99 108 116 122 122 125 129 132 122 104 85 76 77 nan nan nan nan nan nan nan 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 4 7 11 16 19 20 16 11 8 6 6 5 5 6 6 6 6 7 9 9 8 9 14 17 18 18 18 16 14 12 10 9 8 7 7 7 8 9 9 9 9 9 7 7 6 4 2 1 0 0 0 0 0 0 0 2 3 3 3 3 3 3 1 0 0 0 1 1 1 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 4 0 0 1 7 18 25 26 23 21 24 21 12 8 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 18 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 9 7 8 13 20 26 27 26 23 18 15 13 13 18 28 48 71 88 94 91 89 89 82 66 63 75 90 109 137 161 167 162 158 156 155 155 149 135 116 103 101 111 126 134 140 143 151 165 169 158 141 125 122 131 140 148 155 154 149 141 137 135 132 128 124 122 120 117 116 118 123 125 123 122 126 127 139 122 106 97 100 110 nan nan nan nan nan nan nan 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 2 3 5 9 15 20 20 15 10 8 7 6 5 4 4 4 5 6 8 10 9 9 12 15 16 17 17 17 16 15 13 12 11 9 7 6 6 6 7 8 9 9 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 0 0 0 0 0 1 1 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 1 2 4 5 1 0 0 1 10 19 20 20 20 18 13 8 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 4 6 11 17 23 28 34 38 36 30 21 18 22 36 50 67 88 103 105 103 104 97 80 70 81 92 103 126 155 165 162 161 162 159 161 157 151 141 125 119 124 138 150 161 165 166 169 168 157 135 117 112 117 118 120 131 141 143 139 133 130 129 126 123 122 123 125 124 126 129 130 125 118 120 122 129 116 106 106 114 125 nan nan nan nan nan nan nan 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 2 2 3 8 16 21 19 15 13 12 10 8 6 3 2 2 4 6 9 10 10 14 16 16 16 17 18 19 19 19 18 16 13 10 6 5 4 4 5 6 7 7 7 6 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 4 6 4 2 0 0 3 4 6 9 8 6 7 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 19 33 50 58 53 37 24 28 43 52 59 77 95 99 101 109 110 92 82 96 103 102 119 150 166 163 161 162 157 159 162 161 151 137 128 124 127 140 163 181 186 182 174 164 147 127 116 116 112 104 107 120 129 129 128 130 129 130 127 126 128 132 129 129 131 120 95 87 93 102 102 90 82 88 104 124 135 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 0 0 0 0 1 1 3 10 19 21 19 18 17 16 14 11 5 1 0 1 2 6 10 14 17 18 16 16 17 17 19 20 20 20 17 14 11 7 4 3 3 3 4 4 5 5 5 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 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 3 2 2 3 6 7 4 1 0 1 0 1 2 1 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 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 2 2 8 21 41 61 69 58 39 32 38 47 56 69 84 89 91 103 112 104 103 115 119 110 117 142 162 164 161 157 152 150 154 160 155 144 134 127 123 128 146 171 193 197 184 174 167 151 136 131 127 113 105 112 119 118 118 123 129 135 137 138 138 137 133 133 130 102 58 41 49 62 64 56 56 65 82 107 124 nan nan nan nan nan 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 0 0 0 0 1 2 6 14 19 19 19 18 16 18 17 11 3 0 0 0 3 8 15 19 20 18 18 18 16 17 19 20 20 16 12 9 6 4 2 1 2 2 3 3 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 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 6 6 6 5 5 5 5 5 4 2 3 6 7 7 5 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 1 6 25 51 68 72 59 41 26 29 46 62 78 84 82 88 105 110 116 128 130 123 120 132 152 162 161 155 148 143 146 156 158 150 141 133 127 128 134 151 180 202 195 182 178 170 156 148 140 128 118 117 118 114 112 117 126 136 145 149 148 143 138 139 135 101 49 24 25 43 63 75 79 81 84 93 101 nan nan nan nan nan 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 0 0 0 0 1 2 5 9 14 17 17 15 12 15 20 16 8 2 0 0 0 4 13 20 21 20 20 19 17 15 16 18 18 15 11 8 6 4 1 0 0 1 1 1 1 2 2 3 3 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 6 16 19 14 8 6 5 5 5 5 5 5 4 2 2 5 7 8 8 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 1 9 26 35 50 65 69 59 43 20 23 42 66 80 80 82 95 106 120 132 134 132 130 132 143 155 160 156 148 142 142 152 158 152 143 135 129 129 130 135 154 183 194 186 175 167 158 150 140 133 125 123 122 116 111 113 121 133 144 151 150 145 140 144 147 126 79 47 47 66 88 110 122 118 108 97 87 nan nan nan nan nan 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 2 3 2 0 0 3 8 10 10 12 14 14 12 15 20 19 13 5 1 0 0 0 7 16 19 19 20 20 17 15 14 14 14 13 10 8 7 5 2 0 0 0 0 0 1 2 2 3 3 3 2 2 3 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 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 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 4 18 22 14 7 6 6 5 5 5 6 6 4 3 3 4 7 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 4 13 22 31 48 62 68 64 40 18 18 40 67 82 88 94 100 110 121 127 131 135 141 147 152 155 157 152 145 141 146 155 155 146 138 128 126 125 125 133 150 170 177 167 153 143 134 126 125 124 124 125 121 116 115 119 127 136 143 145 143 138 140 150 154 132 95 90 96 104 120 136 139 130 117 105 nan nan nan nan nan 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 2 7 6 2 0 2 10 15 12 8 10 11 12 16 20 19 15 9 4 1 0 0 2 10 14 15 17 17 15 14 12 12 11 9 7 6 6 6 5 2 1 1 0 0 1 1 1 2 2 2 3 3 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 0 0 0 0 0 1 7 10 8 6 7 7 6 6 6 6 6 5 4 3 5 6 5 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 2 12 13 17 27 44 63 77 67 39 10 11 43 77 96 102 102 101 104 107 113 124 141 155 159 154 158 158 153 149 148 155 158 153 147 138 132 127 123 125 134 148 157 154 145 136 131 128 125 124 124 126 125 122 120 118 121 126 130 135 140 134 131 137 143 138 126 114 106 106 116 131 138 138 134 134 139 nan nan nan 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 0 2 5 6 3 0 2 9 17 13 6 4 6 7 12 18 19 17 13 8 3 0 0 2 5 8 9 10 10 11 12 11 10 7 6 3 2 1 2 3 3 2 1 1 0 0 0 1 1 1 2 3 4 2 2 2 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 3 3 2 1 0 0 0 0 0 0 0 0 2 3 4 6 7 7 7 7 6 6 5 5 4 5 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 9 22 44 68 78 60 23 3 21 60 95 111 112 103 96 94 96 105 126 149 165 160 161 164 162 158 160 159 159 158 156 152 145 135 126 124 129 139 149 154 154 147 142 142 141 136 133 132 133 131 126 119 116 117 119 125 130 130 128 128 128 126 124 118 110 107 112 121 128 131 133 138 145 nan nan nan 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 0 0 1 2 2 1 2 6 11 10 5 1 1 2 4 11 15 17 16 12 7 2 0 2 3 3 3 3 4 6 8 8 6 4 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 2 3 3 3 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 3 6 6 6 6 6 6 6 5 5 4 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 18 41 64 64 38 10 9 40 83 112 123 118 110 107 102 98 109 131 154 162 163 164 163 157 160 162 160 158 161 162 156 142 130 125 128 133 143 160 174 168 152 146 151 148 144 141 139 139 134 126 118 114 114 118 124 129 132 131 129 125 123 121 115 110 110 114 118 117 119 124 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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103 102 102 102 101 100 99 98 98 98 99 97 96 101 117 134 139 134 128 124 118 108 92 66 49 47 53 58 57 50 43 42 48 73 108 120 100 83 78 82 84 79 68 57 52 53 64 72 76 76 74 70 68 68 67 67 66 56 53 54 54 52 48 42 34 27 21 16 10 4 0 1 5 12 14 17 19 18 16 20 27 33 30 23 18 18 17 16 18 16 13 12 14 18 20 18 15 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 3 2 2 3 3 4 4 3 3 4 6 11 11 9 7 7 7 7 7 7 7 7 8 9 11 10 6 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 12 16 22 25 26 27 28 29 30 31 36 45 57 67 71 66 54 42 33 27 24 27 35 53 76 104 129 146 156 160 153 147 153 152 145 128 105 87 70 51 33 23 27 38 37 27 16 5 0 0 4 18 30 35 32 22 12 10 18 32 38 28 22 23 27 34 41 47 54 62 67 65 53 52 63 74 86 100 115 122 122 117 110 104 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
106 105 105 104 103 101 99 100 102 102 100 93 89 90 98 108 114 118 121 125 127 120 103 74 47 36 45 55 59 56 45 41 47 65 93 116 112 96 90 90 89 84 74 63 56 56 60 64 66 66 63 59 55 54 54 54 55 51 45 47 49 50 48 41 32 25 17 11 7 3 2 4 11 19 22 22 24 21 18 23 34 38 33 23 18 18 18 16 21 22 17 12 13 17 20 19 17 14 10 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 3 3 4 4 4 3 4 7 10 13 11 8 7 7 7 8 8 8 8 8 8 9 10 8 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 9 11 13 15 17 18 20 23 25 27 29 31 36 44 57 67 70 67 57 42 33 27 25 27 36 52 74 98 120 134 142 146 146 150 153 153 148 139 124 108 86 58 35 27 35 37 32 26 15 6 2 1 4 12 23 33 32 19 8 13 28 28 18 12 11 13 16 21 27 33 43 59 69 59 53 57 64 70 79 93 105 113 112 98 91 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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