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 2 3 3 4 5 5 4 4 4 4 4 3 2 3 3 3 4 5 5 6 7 7 8 8 8 7 7 6 6 6 6 5 5 5 4 5 5 5 5 5 4 4 3 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 5 4 5 5 4 4 4 5 4 4 3 3 4 5 4 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 6 6 7 7 7 8 8 7 6 5 5 5 5 5 4 4 3 5 6 6 6 6 6 6 5 5 5 4 2 2 3 3 5 7 7 7 7 4 1 3 7 4 1 1 0 2 5 5 2 4 5 6 7 8 8 6 4 1 1 -0 -2 -3 -1 0 -1 -1 1 3 4 -0 -2 1 4 2 -1 -3 -2 -0 0 5 9 8 5 6 7 6 4 3 4 4 3 5 6 6 3 -1 -2 -1 4 20 42 44 26 10 5 4 3 3 3 3 4 4 4 4 4 4 4 4 5 6 8 9 9 10 11 10 8 5 3 2 2 2 2 2 3 4 4 5 5 5 5 4 2 2 3 5 7 8 6 5 4 5 4 4 4 4 5 5 4 4 4 4 4 4 5 4 5 6 6 5 4 4 4 4 5 4 3 3 2 3 3 3 3 4 5 5 5 3 3 3 3 3 3 4 4 5 6 7 6 6 6 8 9 8 7 6 5 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 7 10 17 22 17 14 13 9 6 0 -4 -7 -6 -6 -1 1 4 7 6 5 6 7 5 2 -0 -5 -7 -9 -11 -10 -4 2 4 4 5 5 6 7 8 11 12 9 7 10 12 11 11 11 10 10 10 9 9 10 11 10 8 8 8 7 7 7 7 6 7 7 7 10 12 14 14 12 9 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 nan nan nan nan nan 2 2 2 3 4 4 4 3 4 4 5 5 5 4 3 2 2 3 4 4 5 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 3 2 2 2 2 3 3 3 4 4 4 4 3 3 2 2 3 3 3 3 4 4 4 4 5 5 5 4 5 4 4 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 7 8 8 8 7 6 5 5 5 5 4 4 4 5 6 7 6 5 5 5 5 5 4 3 1 2 4 4 6 6 7 8 8 6 -0 4 6 4 1 0 1 1 -0 -2 0 2 3 5 5 3 4 6 5 4 2 1 0 0 1 2 -0 -3 -2 2 7 10 6 1 2 4 3 -3 -6 -3 -0 4 8 8 5 5 5 3 1 1 4 5 4 4 5 6 7 6 5 9 20 35 42 32 15 6 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 8 8 8 9 10 10 8 6 3 3 2 2 2 2 3 4 5 5 4 5 5 4 3 3 3 4 5 5 4 4 5 5 5 4 4 5 5 7 6 5 4 4 5 5 5 5 5 6 6 5 5 2 1 2 4 3 2 2 2 2 3 3 4 5 5 5 5 4 3 3 3 3 3 4 4 5 6 6 6 6 6 7 8 8 7 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 4 5 8 14 15 14 13 13 13 13 9 10 5 3 3 5 6 8 8 7 8 8 6 4 3 1 -2 -3 -6 -8 -7 -1 3 4 4 4 5 5 5 7 8 6 5 7 8 9 10 10 10 10 11 10 10 10 10 8 6 5 5 6 7 7 7 7 7 6 6 7 9 11 11 9 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 2 2 3 4 4 3 4 4 4 4 5 5 4 3 2 2 3 4 5 6 6 6 5 5 6 6 6 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 3 4 4 4 3 3 4 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 8 9 8 6 6 5 5 5 5 5 4 4 5 6 7 6 6 6 6 5 4 3 2 1 3 5 7 6 2 4 6 4 1 -3 3 6 4 1 3 3 -1 -3 -4 2 2 1 2 2 -1 -1 1 2 2 1 1 3 5 6 5 3 0 1 4 8 12 11 4 -1 -0 1 -0 -1 1 1 2 6 8 7 4 -0 -2 -1 3 5 4 3 3 4 8 11 13 16 22 33 40 33 18 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 7 8 8 9 10 10 9 7 5 3 3 2 2 3 3 4 5 5 5 5 5 5 4 3 2 3 4 5 5 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 3 -1 -2 1 2 -0 -1 1 2 3 3 4 5 5 5 5 4 3 3 3 4 3 4 4 5 6 6 6 6 6 6 8 8 7 6 5 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 6 5 5 6 5 5 6 6 5 5 4 3 3 4 6 8 8 9 9 9 10 9 9 8 7 7 7 6 5 5 4 7 8 6 5 5 6 5 4 2 -1 -2 1 4 4 4 4 4 5 5 5 4 4 4 5 6 7 8 8 8 8 8 9 9 9 8 6 6 5 6 7 8 8 7 6 6 5 5 5 6 8 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 nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 2 1 2 3 3 4 3 3 3 4 4 4 4 4 3 3 3 4 4 6 6 6 5 5 5 6 6 6 5 4 4 3 3 2 2 1 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 6 8 7 6 6 6 6 4 3 1 1 3 5 5 3 2 3 3 2 1 -1 4 8 4 3 8 9 3 -1 -1 2 2 0 1 1 0 1 0 -0 -0 1 3 5 8 10 9 6 5 6 8 9 11 10 6 -1 -6 -5 -0 4 6 4 0 3 9 9 5 0 -1 3 7 6 4 3 4 7 11 15 20 26 34 39 33 20 9 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 6 6 7 8 9 10 12 11 9 7 5 4 3 3 3 3 4 5 5 5 5 5 4 3 2 2 2 3 5 6 6 4 5 5 5 6 6 5 4 4 5 5 5 5 5 5 6 6 7 6 6 5 5 2 -3 -2 2 2 -1 -1 2 3 3 4 4 5 5 4 3 3 3 4 4 4 4 5 5 6 6 6 6 6 7 7 9 9 7 6 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 5 5 4 5 5 6 8 9 6 3 3 5 7 8 8 6 6 5 5 5 4 3 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 7 6 6 7 8 9 9 8 7 7 7 7 7 8 8 6 5 5 5 5 5 6 6 6 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 nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 3 2 2 3 3 3 3 2 1 3 3 4 4 5 4 4 3 3 4 5 6 5 4 4 5 5 6 6 5 4 3 3 3 2 2 1 1 1 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 5 6 7 7 7 7 8 7 7 6 6 5 4 4 4 4 4 4 6 8 7 7 6 7 6 5 3 1 2 3 3 1 -0 3 6 5 7 7 4 6 9 6 6 6 7 5 2 1 2 2 2 2 3 4 4 3 2 1 4 6 6 7 8 8 8 9 10 10 11 12 11 8 1 -5 -7 -2 3 6 6 4 6 12 12 8 4 5 9 9 8 7 7 8 10 14 19 25 32 37 33 21 10 6 5 5 5 5 4 4 3 3 4 3 3 4 4 4 4 5 5 6 6 7 8 9 11 13 13 11 9 7 5 4 3 3 4 5 5 6 6 5 4 3 3 2 2 3 4 6 8 7 5 6 6 6 5 5 4 3 4 5 5 5 5 5 4 6 7 7 6 6 5 5 3 -1 -4 -0 7 6 2 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 7 8 9 9 7 5 4 3 4 4 4 4 5 5 5 5 4 4 5 6 5 6 6 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 4 4 3 0 -1 2 4 4 3 3 3 3 6 11 11 8 6 5 6 10 12 9 6 5 7 7 6 5 5 5 4 4 3 3 4 3 4 5 4 4 4 5 5 5 5 6 6 6 6 7 8 10 10 10 8 7 7 7 8 7 6 6 6 6 5 5 5 5 6 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 3 3 3 3 3 3 3 2 1 1 2 3 4 5 5 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 3 3 2 2 1 1 1 2 2 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 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 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 8 7 7 7 7 7 8 8 8 8 8 7 7 6 5 4 4 3 3 3 4 6 7 7 7 6 6 5 4 3 2 2 3 3 3 5 6 4 4 10 9 6 8 7 7 7 4 2 3 2 2 4 4 4 4 4 4 6 6 5 4 5 6 5 4 3 5 6 7 10 13 15 14 13 9 4 0 -1 2 5 7 11 9 7 11 12 12 9 10 12 9 9 10 11 11 12 16 21 26 29 28 20 11 6 6 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 6 6 8 10 12 13 14 13 11 9 6 5 4 4 4 5 6 6 6 5 3 2 2 2 3 4 5 8 11 10 7 5 5 6 5 4 4 3 4 5 5 5 4 4 5 6 6 7 6 6 4 4 4 2 -1 -2 3 7 6 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 6 7 7 6 6 7 7 9 9 8 6 4 4 3 3 3 3 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 3 4 3 3 2 3 4 5 4 3 2 2 3 4 5 5 4 3 2 -0 -0 1 3 5 5 5 4 2 3 7 11 12 11 7 8 12 12 12 9 9 9 8 6 5 5 5 4 3 2 3 4 4 4 4 4 5 5 5 5 5 5 6 7 6 6 6 7 9 11 11 9 7 7 8 8 7 7 6 7 7 7 6 5 5 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 3 4 4 3 3 3 2 2 2 1 1 2 3 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 3 3 3 2 2 2 3 2 2 2 2 2 2 3 3 3 3 2 3 3 3 3 4 3 3 4 4 4 3 4 4 4 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 4 4 3 3 3 4 3 3 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 7 7 6 5 4 3 3 3 3 5 7 7 7 6 6 5 4 3 2 2 3 4 6 9 10 4 1 4 6 6 8 9 8 5 4 4 4 3 3 5 5 5 5 6 5 5 6 6 5 4 4 4 3 2 4 5 6 10 16 17 13 11 9 5 4 7 10 12 11 13 11 4 5 9 12 13 11 10 10 10 10 10 11 13 16 20 23 22 17 10 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 6 6 7 10 12 14 14 13 12 9 7 5 5 5 5 5 6 6 5 3 2 2 3 3 3 5 5 8 10 10 7 5 5 6 5 4 4 5 5 6 6 5 5 5 5 6 6 6 6 5 4 4 4 4 3 -1 -4 -0 4 5 4 4 3 3 3 3 4 4 3 4 4 4 4 4 4 4 6 6 6 7 7 7 7 7 8 8 7 7 6 5 4 3 2 2 2 3 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 3 2 2 3 5 6 6 6 3 1 1 3 4 4 4 4 3 2 2 3 4 4 5 7 7 5 4 4 4 6 8 7 10 12 11 13 12 12 11 10 7 5 5 5 4 3 1 1 2 3 4 4 4 5 5 5 6 5 5 5 6 7 7 6 7 8 10 10 10 8 7 7 8 7 7 7 7 7 7 7 6 5 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 2 3 4 4 4 4 3 3 2 2 2 2 2 2 3 4 4 4 4 4 3 2 2 2 2 3 4 4 4 4 5 5 4 4 4 3 4 3 3 3 3 2 2 2 2 2 3 2 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 4 3 4 4 3 3 4 3 3 4 4 4 3 4 5 5 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 6 6 7 8 8 9 10 10 10 11 10 9 9 9 10 10 10 9 8 6 6 6 5 4 3 3 3 3 4 6 7 7 6 6 5 4 4 3 2 3 3 4 7 9 8 4 3 6 8 8 7 7 7 5 5 6 6 6 5 5 5 6 8 7 5 5 5 5 4 3 3 4 5 5 6 7 12 18 17 10 7 6 4 5 11 16 13 8 8 11 7 3 8 9 10 11 8 9 11 10 9 11 14 16 17 17 15 11 7 6 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 7 9 12 14 14 13 11 9 7 6 5 5 5 6 5 5 3 2 2 3 3 4 5 5 6 7 10 12 9 6 5 6 5 6 6 6 6 6 6 6 7 7 6 6 7 6 5 5 5 5 5 5 5 2 -2 -2 3 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 7 6 7 7 6 7 6 5 4 3 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 3 3 6 9 10 8 6 3 3 4 4 3 2 3 5 5 4 4 5 6 6 6 7 9 8 5 2 1 1 5 9 9 10 10 11 13 14 13 9 7 5 5 5 5 3 1 -1 -0 2 4 4 4 5 5 6 6 5 5 6 7 7 7 7 7 8 10 9 8 7 7 7 6 5 6 7 7 6 6 7 7 6 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 1 2 3 3 4 5 4 4 4 3 3 3 3 2 2 2 3 4 5 4 4 3 3 2 2 2 3 3 4 4 5 5 5 5 4 4 4 3 3 3 2 2 3 2 2 2 2 2 2 2 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 3 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 7 8 9 9 10 11 12 13 13 12 11 11 12 12 11 10 9 7 6 6 5 5 4 3 3 3 4 5 7 8 7 6 5 5 4 3 2 2 3 3 3 5 7 8 8 7 6 6 4 4 7 6 5 5 6 8 5 4 5 7 8 8 6 5 4 3 3 3 4 6 7 8 7 8 14 18 14 9 5 3 0 -0 7 14 10 4 1 5 10 6 9 7 7 9 8 11 13 12 10 11 13 13 14 13 12 8 6 6 6 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 7 9 12 14 14 11 10 9 7 6 5 5 5 5 4 3 3 2 2 4 4 5 5 5 6 7 10 14 14 11 8 7 6 6 6 7 6 6 6 7 7 8 8 8 8 7 6 6 6 6 5 5 4 4 3 1 4 5 5 3 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 6 6 5 5 5 5 5 6 6 7 7 6 5 5 5 3 2 1 1 1 1 3 3 4 5 5 5 5 5 5 6 6 6 6 5 4 4 3 3 4 6 10 13 10 6 4 5 5 4 3 2 2 4 5 4 5 5 7 8 7 7 8 8 9 7 3 1 4 7 8 8 9 10 11 13 14 12 9 6 5 7 9 8 4 1 -2 -1 3 4 4 4 5 5 6 6 6 5 6 7 7 7 7 8 9 9 8 7 6 5 5 5 5 5 5 5 7 8 7 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 3 2 2 2 2 2 3 5 5 5 5 5 4 4 3 3 2 3 3 4 5 4 4 3 3 3 2 2 2 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 3 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 9 9 12 13 14 15 14 12 11 12 12 11 10 9 7 5 5 5 5 4 4 4 3 3 5 7 8 8 7 5 5 4 3 3 2 2 2 2 4 6 9 9 5 3 4 4 2 2 4 3 3 6 8 5 3 4 6 7 8 7 5 4 4 4 4 6 8 10 10 7 6 11 14 11 9 6 3 0 -2 2 9 7 7 4 3 8 5 6 4 5 9 11 13 13 11 8 7 9 11 11 10 8 6 6 6 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 8 11 13 13 11 9 8 8 7 6 5 5 4 4 3 3 3 4 4 5 6 6 5 6 8 10 13 16 17 15 13 10 8 7 8 7 6 7 7 7 9 10 10 9 8 6 6 6 5 4 4 5 5 4 4 6 6 4 3 4 6 6 6 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 4 4 3 3 3 3 5 6 7 6 7 7 6 6 4 3 2 1 1 0 -0 1 3 4 4 5 5 5 5 5 5 5 6 5 4 4 4 5 6 9 13 12 7 6 5 4 4 3 4 5 5 5 5 6 6 7 9 10 9 7 7 10 11 7 4 5 6 7 8 8 9 9 11 12 12 10 8 7 8 12 13 6 3 2 0 2 4 5 4 5 5 6 7 6 6 6 6 6 7 8 9 8 8 8 7 6 5 5 5 5 4 4 5 6 8 8 7 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 4 4 4 3 1 1 1 2 3 5 6 6 6 5 5 5 4 3 3 2 2 4 4 4 3 3 3 3 3 3 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 4 3 4 4 3 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 11 13 14 16 15 14 12 11 11 11 10 8 7 5 5 4 5 5 5 5 4 4 5 6 8 8 7 6 5 4 4 2 2 2 1 2 5 9 10 8 3 3 4 5 4 4 5 5 6 7 7 4 5 7 4 5 7 8 7 7 6 7 8 9 9 10 9 6 5 6 9 8 7 5 3 4 4 4 7 9 10 3 5 10 3 -5 -2 4 10 13 13 10 8 6 6 8 9 8 7 6 6 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 7 9 12 12 10 8 8 8 7 5 5 5 4 3 3 3 4 4 4 5 5 5 6 6 8 10 11 13 16 17 16 15 14 13 12 11 9 9 9 8 8 8 9 8 7 6 5 4 4 4 5 6 6 6 7 8 7 4 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 2 1 -0 -1 0 3 5 7 7 7 7 7 7 7 5 4 3 1 -1 -2 -1 -0 1 3 4 4 4 3 4 5 5 4 4 4 4 5 7 9 12 12 8 6 6 4 3 3 5 7 7 7 6 6 7 8 11 12 12 8 6 7 8 6 5 5 6 6 6 8 8 8 8 9 10 10 10 9 9 11 13 9 5 5 4 4 5 5 5 5 5 6 6 7 6 6 6 6 7 8 9 9 8 7 6 6 6 6 5 5 4 4 4 6 7 7 7 6 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 5 5 5 4 3 2 0 0 1 3 4 5 6 5 5 5 5 4 3 2 1 2 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 3 3 4 3 3 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 9 10 11 13 16 17 17 14 12 11 11 10 8 7 6 4 4 5 5 5 5 5 5 6 7 7 8 7 6 5 5 4 3 2 2 1 2 7 12 12 8 5 6 5 5 7 7 5 5 6 8 7 6 9 9 4 3 7 8 9 9 8 9 10 10 7 5 6 5 4 3 6 8 7 4 2 5 10 9 8 12 10 4 5 11 6 -4 -2 6 12 14 11 6 5 7 9 9 7 7 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 6 8 10 11 10 9 8 7 6 5 5 5 4 3 4 4 4 4 4 5 4 5 5 6 7 7 8 8 10 11 13 13 14 15 15 14 13 12 12 10 9 7 5 5 6 7 6 5 6 8 9 9 8 7 8 9 6 3 2 3 3 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 5 5 6 5 3 1 -2 -5 -7 -3 3 6 7 7 8 8 8 8 7 6 5 3 1 -2 -3 -3 -1 1 3 3 3 3 3 4 3 2 3 3 5 6 8 10 9 7 6 6 5 3 3 5 8 9 8 7 8 9 9 8 9 9 7 4 4 4 4 4 4 5 5 5 6 7 8 8 9 10 10 10 10 10 10 10 9 8 7 5 4 5 5 6 6 5 5 6 6 7 6 5 6 7 7 9 9 8 7 6 6 6 7 6 4 4 5 5 6 6 6 6 5 4 6 7 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 5 6 6 6 5 5 4 3 1 1 1 1 3 4 5 5 6 5 4 4 3 2 1 1 1 1 1 2 2 2 3 3 3 2 2 2 2 2 2 2 3 4 4 4 3 3 3 3 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 3 3 4 3 3 4 3 3 4 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 6 7 7 8 9 10 12 16 20 21 19 16 13 11 10 8 7 6 4 3 4 5 6 5 5 6 7 8 8 8 7 7 6 5 4 3 2 1 3 7 11 12 8 7 10 8 3 5 5 6 4 6 6 5 7 8 9 10 5 3 5 6 7 9 9 9 10 9 4 2 3 4 3 2 4 8 8 5 4 4 10 10 8 11 6 6 5 9 11 4 3 8 12 13 9 4 4 7 8 7 7 7 6 5 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 5 6 7 9 10 10 9 7 6 6 6 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 7 7 9 11 11 11 10 10 10 10 10 10 8 6 6 7 9 9 8 10 12 12 11 10 9 8 5 2 1 2 2 1 2 3 3 3 3 2 1 1 1 2 2 4 5 5 5 5 6 7 8 7 6 3 -2 -6 -7 -3 5 8 7 7 7 8 8 8 8 8 8 7 4 0 -3 -5 -4 -1 2 3 2 1 3 2 1 2 3 3 5 6 5 6 6 7 7 5 2 2 5 8 7 7 6 7 8 6 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 6 7 8 9 9 10 10 10 10 9 9 9 9 6 4 5 6 6 5 5 5 5 6 6 6 6 6 6 8 9 9 9 8 6 6 6 6 5 4 4 5 5 6 5 6 7 5 3 4 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 nan nan nan
nan nan nan nan nan 4 6 6 5 5 6 6 6 5 4 2 1 1 1 2 3 3 4 5 5 4 4 4 2 1 1 1 1 1 2 2 2 3 3 3 3 3 2 2 2 2 2 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 4 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 7 7 8 9 12 17 23 26 25 20 14 11 9 8 7 6 4 3 4 5 5 5 4 6 8 8 8 7 7 7 6 5 4 3 2 2 5 10 12 8 2 5 13 8 2 7 5 6 6 9 9 3 4 7 7 8 6 4 4 4 5 7 8 9 9 8 4 3 3 3 2 1 3 6 8 7 6 4 4 6 6 7 5 6 6 10 12 7 6 8 12 12 8 5 5 7 6 7 7 7 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 5 4 5 5 6 7 8 8 9 8 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 4 4 3 3 3 4 4 4 5 5 6 5 5 6 7 9 9 9 9 8 8 8 8 7 8 9 10 10 9 9 7 4 2 1 2 2 2 3 4 4 5 4 3 2 0 -0 -1 -2 -2 2 5 5 6 7 8 9 11 12 11 8 5 2 -1 3 6 6 6 6 6 6 6 6 7 8 9 9 7 3 -1 -5 -6 -3 2 3 1 0 1 1 2 3 3 3 5 5 5 5 6 8 6 3 3 7 10 8 5 5 5 3 3 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 7 8 8 9 10 9 9 9 9 9 9 9 7 6 6 6 6 5 5 6 6 5 5 6 5 6 8 8 10 9 8 7 6 6 5 4 4 4 3 5 6 6 6 6 5 3 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 3 5 5 5 4 4 5 6 6 5 5 3 3 2 2 1 2 2 3 4 4 5 5 4 3 2 2 1 1 1 1 1 1 3 4 4 4 4 3 3 2 2 2 3 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 9 13 18 26 30 30 24 16 11 9 8 8 6 4 2 3 4 4 4 4 6 8 9 8 6 5 6 6 5 4 3 2 3 7 11 9 6 4 7 11 5 3 6 6 4 7 11 12 1 1 4 5 7 7 4 3 3 4 6 8 9 9 7 5 4 4 3 1 1 3 6 7 8 9 5 0 3 6 6 6 6 6 9 10 6 7 10 13 12 7 5 5 6 6 6 7 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 4 4 3 4 5 5 5 5 5 7 7 7 8 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 3 3 3 2 3 3 3 2 3 3 4 4 3 3 4 5 6 7 8 8 7 5 5 6 6 6 5 6 7 7 6 3 1 2 2 3 3 4 5 5 6 7 7 6 4 1 -1 -5 -7 -5 -0 4 5 6 7 8 10 13 16 17 12 9 8 6 5 5 4 4 4 4 4 4 5 6 7 8 9 9 7 1 -6 -9 -5 -1 1 0 2 4 4 5 5 4 4 5 6 5 5 7 7 5 4 8 13 12 7 6 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 7 8 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 5 6 6 6 5 5 5 5 6 8 8 8 8 8 6 6 6 5 5 4 3 6 7 8 8 7 5 3 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 4 4 3 3 4 5 5 6 7 6 5 4 3 2 2 2 2 2 3 4 5 5 5 4 4 4 3 2 1 1 1 2 2 3 4 4 4 4 3 2 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 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 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 10 14 19 26 31 32 25 16 11 9 8 8 7 4 2 2 3 4 4 4 6 8 9 9 7 5 4 5 5 4 3 3 4 9 10 6 5 8 11 6 0 5 4 10 6 7 11 13 2 -0 0 4 5 6 5 5 5 5 7 8 9 9 7 5 4 4 3 1 1 4 7 7 9 14 12 5 5 7 8 7 4 5 8 8 4 7 11 12 10 6 4 4 4 6 7 6 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 3 3 3 4 4 5 4 5 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 3 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 6 7 6 6 5 5 6 6 5 5 6 7 6 4 2 2 3 3 3 3 3 4 5 6 8 10 11 11 7 4 1 -3 -6 -6 -1 3 5 6 7 8 10 14 18 16 10 7 6 4 4 3 3 2 2 2 2 3 2 2 3 5 8 9 8 2 -6 -8 -4 3 5 4 5 5 5 5 4 4 5 5 4 4 5 5 6 2 1 8 11 8 6 4 4 4 3 3 4 3 4 4 5 5 4 4 3 4 4 4 5 5 4 4 5 6 8 8 9 8 7 6 6 6 7 7 7 6 6 6 5 5 5 7 7 6 5 5 5 6 6 6 7 8 7 7 7 6 6 7 6 4 5 7 9 8 7 5 5 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 4 3 3 3 3 2 3 4 4 5 6 7 7 6 6 5 4 4 3 2 2 3 3 4 5 5 5 5 5 3 3 2 1 1 1 2 2 3 4 4 5 4 3 3 3 4 3 3 4 4 3 4 3 3 3 3 3 2 2 2 2 3 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 7 8 11 16 20 24 29 28 21 14 10 9 8 7 7 4 3 2 2 3 4 5 5 7 9 10 8 6 5 5 5 4 3 3 5 9 9 5 6 10 11 4 -2 7 9 11 7 7 13 12 4 -0 -1 2 3 3 4 4 6 8 10 10 9 8 7 6 4 3 3 0 0 4 7 7 10 17 16 11 7 7 8 7 4 5 7 7 4 5 9 11 9 5 3 3 4 6 7 6 6 5 4 4 3 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 6 7 7 6 6 6 6 6 5 6 6 6 5 5 4 3 3 3 3 3 3 2 2 1 1 1 1 2 2 3 3 3 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 6 7 7 6 4 3 3 3 3 3 3 3 4 4 5 6 8 11 13 12 10 9 6 2 -2 -3 -2 -0 1 3 5 7 8 11 12 9 5 4 4 3 3 2 1 -0 -1 -1 -0 -1 -1 -2 -1 3 6 9 9 5 2 3 6 8 7 7 7 4 4 4 4 5 4 3 1 2 5 7 3 -1 2 7 7 5 4 4 4 3 3 3 4 4 4 4 4 4 3 3 2 3 4 4 5 5 4 4 4 5 6 8 9 8 5 4 4 5 6 7 7 7 6 6 5 6 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 8 8 8 7 5 5 6 6 6 6 5 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 5 4 2 2 2 2 3 3 3 3 4 5 6 6 6 7 7 6 5 4 4 3 3 3 4 5 5 5 5 5 4 3 3 2 2 1 1 2 4 4 5 5 4 4 3 4 3 3 4 4 4 4 4 3 3 2 3 2 2 2 2 2 2 2 3 3 2 3 3 4 4 4 3 3 3 3 3 3 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 5 6 6 6 7 9 13 17 20 22 23 21 16 12 10 8 8 7 6 4 3 2 3 4 4 5 5 7 9 10 8 6 5 4 5 5 4 3 5 9 8 7 8 10 10 4 0 5 11 7 7 6 13 11 4 2 1 2 1 1 1 2 6 13 15 11 10 8 6 5 5 3 2 1 0 3 6 6 7 8 9 8 6 6 6 6 4 3 6 5 4 3 7 11 9 5 3 3 3 6 7 6 6 4 4 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 3 2 2 2 1 1 1 2 2 3 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 7 7 6 5 4 3 4 3 3 3 4 3 3 4 4 5 7 8 10 10 10 9 5 1 -2 -4 -5 -6 -5 -2 2 5 5 6 6 5 5 5 4 3 2 0 -2 -3 -3 -2 -1 -2 -2 -0 2 4 8 11 11 8 7 7 8 8 8 8 5 4 5 6 5 5 2 1 -1 4 8 8 6 4 5 7 7 6 4 3 3 3 3 4 4 4 4 3 3 3 2 2 2 3 4 4 4 4 4 3 4 5 6 8 7 7 5 3 3 5 6 7 8 7 7 6 6 6 6 7 7 6 6 6 6 6 5 6 7 7 8 8 8 8 8 7 5 4 4 5 6 6 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 2 1 2 2 3 3 3 3 3 3 4 5 6 6 7 7 7 8 6 5 4 3 3 4 4 5 5 5 4 5 5 4 3 3 2 2 2 3 3 4 5 5 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 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 4 4 4 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 8 10 14 16 17 19 18 15 13 11 10 8 7 7 5 4 3 3 4 5 5 6 6 7 9 10 8 5 4 4 5 5 4 3 6 8 7 8 12 11 7 4 3 2 7 7 12 6 7 7 4 4 2 3 4 2 1 1 4 14 16 12 9 7 6 5 5 4 4 3 3 4 4 3 0 -2 3 6 4 4 5 6 6 5 6 5 4 4 7 10 8 5 3 2 3 6 8 7 5 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 3 3 3 2 2 1 1 1 2 3 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 4 6 8 10 10 6 1 -1 -2 -3 -5 -6 -6 -3 1 2 3 3 4 5 6 6 5 2 0 -1 -1 0 1 2 3 4 5 4 5 6 8 9 8 6 5 7 8 7 7 6 6 7 7 5 5 5 4 0 2 6 8 9 7 6 8 9 8 6 4 2 3 3 3 3 3 3 3 3 2 2 2 1 2 3 3 4 5 4 4 4 4 5 6 6 7 7 5 2 3 6 7 8 8 8 7 6 5 6 6 7 7 6 6 7 7 6 6 6 7 8 8 8 8 8 7 5 4 4 4 6 6 6 6 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 nan nan
nan nan nan nan 4 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 5 6 7 9 9 7 5 3 3 3 4 4 4 4 4 5 5 6 5 5 4 3 3 2 2 3 4 4 4 4 5 5 4 4 3 3 3 3 2 3 2 2 2 2 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 6 7 7 6 6 8 11 13 14 13 14 14 12 11 10 9 8 7 6 4 3 3 3 4 6 7 8 7 8 10 10 8 5 4 5 5 4 3 4 7 8 6 9 13 10 3 2 3 2 5 13 18 8 -0 -0 3 4 4 7 9 6 3 0 -0 6 13 12 8 7 7 5 2 3 5 5 7 7 5 2 -1 -1 3 4 4 3 5 6 7 10 10 6 4 6 8 9 8 6 3 2 3 6 7 5 4 4 4 4 3 3 2 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 5 4 3 2 2 3 6 10 14 13 6 2 3 2 1 -0 -2 -5 -5 -3 0 0 1 3 5 6 6 3 3 5 5 5 5 6 6 6 6 5 5 5 5 6 8 8 6 6 8 8 7 7 7 8 8 7 5 6 7 4 1 4 6 6 7 7 8 9 9 7 5 4 3 3 3 3 3 2 3 2 2 2 2 2 2 2 3 3 4 5 5 3 4 5 5 6 6 7 8 4 2 5 7 8 9 10 9 8 6 6 6 6 6 6 7 8 8 6 6 6 7 8 8 8 9 8 7 6 5 4 4 6 6 6 6 6 7 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 3 3 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 5 5 6 7 8 9 7 4 3 3 3 3 4 4 4 4 5 5 5 6 6 5 3 3 3 3 3 3 4 4 4 4 5 4 3 2 2 2 2 2 3 3 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 7 8 7 7 7 8 10 12 11 10 11 11 11 10 9 8 7 6 5 3 3 3 4 4 6 8 9 9 9 10 10 7 5 4 4 4 3 2 4 7 8 7 9 11 8 2 1 3 4 4 13 16 9 0 -2 3 3 5 10 13 9 5 1 -3 -1 9 11 8 7 6 4 0 1 3 5 7 9 7 3 2 3 3 4 5 5 5 6 8 13 12 7 4 7 10 9 7 5 3 2 4 7 7 5 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 3 2 2 2 2 2 3 4 4 4 4 5 5 5 4 4 5 5 5 6 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 4 3 3 4 7 11 16 15 9 4 3 2 2 0 -3 -4 -4 -3 -2 -2 -1 0 2 4 4 5 7 6 6 6 6 6 6 7 6 4 4 5 5 7 8 7 5 7 9 9 7 7 8 7 6 5 5 5 5 4 4 5 5 5 6 6 8 9 9 7 6 4 3 3 2 2 2 1 2 2 2 3 3 3 3 3 3 4 5 6 4 3 5 5 6 6 6 7 6 3 6 8 9 10 11 11 9 7 6 6 6 6 6 7 7 7 7 6 5 6 7 7 8 9 9 8 7 5 4 5 5 6 6 6 6 6 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 3 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 5 5 4 5 5 5 7 8 7 6 4 3 2 2 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 3 4 4 4 5 4 3 2 2 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 4 5 4 4 5 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 7 11 12 9 7 8 9 9 9 8 8 7 6 4 3 2 3 4 5 6 8 10 10 9 10 9 7 5 4 3 3 3 4 7 8 8 9 9 9 8 4 3 5 4 2 5 6 7 5 2 4 4 3 8 11 9 5 2 -1 -0 7 11 9 7 6 4 1 1 2 3 5 7 7 5 5 5 4 5 7 6 4 5 7 12 12 8 6 8 9 8 5 4 4 3 3 5 6 5 4 3 3 3 3 3 3 3 4 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 5 4 7 10 16 16 10 7 5 2 1 -1 -1 0 1 -0 -4 -6 -5 -3 -0 2 4 6 6 5 5 6 6 7 8 9 6 5 5 6 6 5 4 2 4 7 7 7 7 6 6 5 5 5 4 4 4 4 5 5 5 5 5 6 7 9 8 7 6 4 2 2 1 1 0 1 2 2 3 3 3 3 3 3 4 5 7 6 3 3 5 6 6 6 6 5 5 6 8 9 10 11 12 11 9 6 5 6 6 6 7 7 7 6 6 5 6 6 7 7 8 9 8 6 5 4 4 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 4 4 4 3 3 3 3 3 2 3 3 4 4 5 5 5 5 5 5 5 5 6 7 7 6 5 4 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 1 1 1 1 1 2 2 2 2 3 4 3 3 3 3 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 6 7 8 9 9 8 7 10 16 14 7 4 6 7 8 8 8 7 6 5 3 2 2 2 3 5 7 9 10 10 10 10 9 7 4 3 3 3 4 6 9 9 8 8 7 5 6 6 7 6 2 1 1 2 5 4 4 8 8 3 3 5 6 5 3 1 2 7 10 10 9 7 5 4 2 2 1 2 4 6 7 9 9 6 7 7 4 2 2 4 9 10 8 8 8 7 6 5 4 5 3 2 3 6 6 4 3 3 3 3 2 3 4 4 4 5 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 6 6 6 5 5 10 15 15 13 12 10 6 4 2 3 4 2 -1 -2 -2 -1 0 3 4 5 6 5 5 5 6 7 9 10 9 7 6 6 6 5 4 3 3 4 5 6 6 6 6 6 5 4 4 4 4 4 5 5 5 5 4 4 6 7 7 7 7 6 3 3 2 1 1 1 2 3 4 4 4 4 4 4 3 4 5 8 5 2 5 5 6 6 6 5 5 6 7 9 10 12 13 13 11 7 5 6 6 7 7 8 7 7 6 6 5 5 6 6 7 7 6 5 4 3 3 4 5 4 4 3 4 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 5 6 5 5 5 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 6 7 7 6 5 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 2 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 7 8 9 9 10 9 10 19 29 21 7 3 4 5 6 7 8 8 6 5 3 2 1 2 3 5 8 10 11 11 10 10 9 7 3 2 2 3 6 9 8 7 6 7 8 3 4 5 7 5 0 1 2 3 3 1 3 10 12 5 2 2 3 4 4 1 1 5 11 11 9 6 6 6 3 1 1 1 2 5 7 12 13 9 5 4 4 4 1 1 4 7 9 9 7 7 6 5 4 4 4 3 4 7 7 5 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 6 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 6 8 10 12 14 16 14 11 9 8 6 6 6 6 5 4 5 6 7 6 6 6 6 6 6 7 8 8 9 10 9 8 7 7 5 4 4 4 5 5 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 7 7 5 5 5 4 4 4 3 4 4 5 4 4 4 3 3 3 4 6 5 4 5 5 6 6 6 6 6 6 7 8 10 12 13 14 13 9 6 6 6 7 7 8 9 9 8 7 6 5 5 4 5 6 7 5 4 3 4 5 5 5 4 3 3 4 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 6 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 5 4 5 5 5 5 4 4 5 6 7 7 7 6 5 5 5 5 5 4 4 4 4 5 4 4 4 3 4 4 4 4 3 3 3 3 3 3 2 2 2 1 2 1 1 1 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 4 4 4 5 5 4 4 4 5 5 6 5 5 5 5 5 5 4 5 6 7 8 9 10 11 11 15 28 30 17 7 1 1 4 6 6 7 7 6 4 3 2 1 2 4 6 9 10 11 10 10 10 9 6 3 2 2 5 8 9 5 3 5 8 11 6 4 4 4 2 2 2 3 3 2 1 3 8 10 7 5 4 3 5 6 3 -1 2 9 11 9 6 7 7 4 2 1 -0 -1 2 7 11 13 9 3 3 6 8 4 1 0 4 10 12 7 6 5 3 4 5 5 4 6 10 9 6 5 3 3 3 3 3 4 5 5 4 4 4 4 4 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 5 5 5 5 4 4 3 3 3 3 4 4 4 4 5 4 5 4 5 5 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 7 9 12 15 15 14 13 12 12 13 12 8 7 7 7 8 6 6 8 8 10 11 9 10 10 9 11 12 9 7 5 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 5 5 6 7 7 6 5 5 5 5 4 4 4 3 3 2 3 4 4 5 5 5 5 6 6 6 6 7 8 8 10 11 14 15 14 11 8 6 6 6 7 8 9 10 10 9 8 8 6 4 3 5 6 6 6 6 5 6 6 6 5 3 2 3 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 5 5 5 5 5 4 4 4 5 5 5 5 5 3 2 2 3 4 4 5 6 5 5 4 4 4 5 6 7 7 7 6 5 4 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 1 1 1 2 3 3 2 1 1 1 1 1 2 1 1 2 2 2 2 3 3 3 4 4 4 4 4 5 5 4 4 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 5 5 6 5 6 5 5 5 5 5 5 6 6 8 9 10 11 13 18 24 12 1 3 3 -0 2 5 7 7 7 5 4 3 2 2 2 4 6 9 11 11 10 10 10 9 5 3 2 4 7 8 6 4 4 5 8 10 7 3 3 3 2 4 5 6 5 3 2 3 5 6 7 8 7 4 3 6 5 2 3 8 11 9 6 8 9 5 1 0 -2 -2 3 8 9 9 6 3 4 9 10 6 4 1 3 15 17 10 5 1 1 3 6 9 7 7 12 11 6 5 4 4 4 3 3 4 4 5 4 3 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 5 4 4 5 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 6 9 10 11 11 11 11 13 15 14 10 10 9 7 6 5 10 13 15 16 15 14 12 9 8 9 7 5 4 3 3 3 4 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 4 5 6 6 6 6 5 5 4 4 4 5 7 9 8 7 7 6 5 4 4 3 3 3 2 2 3 4 5 5 5 5 6 5 5 6 7 8 9 10 12 14 15 14 13 10 8 6 5 6 7 9 11 11 11 10 10 8 6 5 4 5 6 7 5 5 5 6 5 4 2 2 2 4 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 5 5 4 4 4 3 3 3 4 4 4 5 5 4 3 2 3 3 4 5 6 6 6 5 4 3 4 4 5 6 6 6 5 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 2 1 2 3 4 3 2 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 6 6 8 9 10 12 15 17 15 1 -7 -0 4 -0 1 4 6 7 6 5 4 3 2 2 3 4 7 10 11 10 10 9 9 7 5 2 3 6 7 6 4 5 6 5 6 8 4 0 3 6 5 7 6 6 5 2 3 6 5 5 7 10 9 5 2 3 6 6 6 8 10 9 7 9 11 7 2 0 -0 1 5 8 5 5 4 2 4 9 9 5 4 3 6 19 20 11 4 -3 -3 1 9 15 12 9 12 10 6 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 6 5 5 5 5 5 5 4 4 4 4 3 3 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 10 13 11 11 11 7 6 5 8 11 11 11 10 9 9 7 6 6 6 5 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 5 4 3 3 5 6 8 9 9 8 5 4 3 3 3 3 3 3 2 3 4 5 5 5 5 5 5 6 7 8 10 11 13 15 15 15 14 11 8 6 5 6 7 9 11 11 11 11 10 10 9 8 7 6 5 5 4 4 4 4 4 3 2 2 2 3 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 6 5 4 4 3 3 4 3 3 3 3 3 4 4 3 3 3 3 4 5 6 6 6 6 5 4 3 3 4 5 5 5 5 5 4 5 5 3 3 3 3 5 5 5 5 5 6 6 5 4 3 4 5 5 5 4 4 5 4 4 2 2 1 1 1 1 1 0 1 1 1 1 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 5 5 6 5 5 5 5 6 7 8 9 10 14 19 19 11 -4 -12 -5 2 2 1 3 5 7 7 5 4 3 2 2 3 5 7 10 11 9 8 8 7 6 3 2 5 7 6 5 5 6 8 8 9 7 3 -1 4 7 10 13 8 3 2 1 3 6 5 5 6 7 8 6 3 2 5 8 10 10 10 9 8 9 11 8 3 1 3 6 8 8 2 4 4 1 3 8 8 6 7 8 11 19 18 10 3 -4 -6 -0 11 19 14 10 12 8 7 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 5 5 5 5 4 3 3 3 3 3 3 3 2 3 4 5 5 5 5 5 6 7 7 5 4 4 4 4 5 5 3 3 5 6 6 6 6 6 7 6 6 6 5 5 5 5 5 6 5 5 5 5 4 4 4 5 4 4 4 5 5 5 5 5 6 5 5 5 4 3 3 3 5 7 9 10 7 3 2 2 3 3 3 3 3 4 4 5 6 5 4 4 5 6 7 8 10 13 15 17 16 15 14 11 7 5 5 6 8 9 10 10 11 11 11 9 7 8 8 5 5 4 4 3 3 3 3 3 2 1 1 1 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 6 6 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 5 4 4 4 5 5 5 5 4 3 3 3 4 4 4 4 4 5 6 5 4 3 3 4 6 7 7 6 4 4 3 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 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 4 4 4 5 6 6 6 5 5 5 5 4 5 5 5 7 9 9 13 20 25 25 16 -1 -15 -9 2 6 2 1 3 7 7 6 5 4 2 2 4 5 7 9 10 8 7 7 5 3 2 3 5 5 4 4 5 9 10 5 5 6 4 1 4 5 10 14 12 1 -2 0 3 4 5 4 2 2 4 4 4 4 5 9 12 12 11 10 8 6 7 7 2 2 8 8 10 12 2 3 6 1 2 7 10 13 19 20 14 15 19 12 3 -3 -5 2 13 19 13 9 13 10 7 6 5 5 4 2 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 4 5 4 5 5 4 4 4 4 5 5 5 5 6 5 6 5 5 5 5 5 5 4 4 4 5 4 4 4 4 3 3 4 5 5 4 4 2 2 1 2 2 2 3 3 4 4 5 6 5 4 4 3 3 3 3 4 4 3 4 5 5 4 3 4 5 6 6 7 7 7 7 7 6 6 6 5 5 5 6 5 5 5 5 4 3 2 3 5 5 4 4 4 4 4 5 5 5 6 6 6 5 4 3 3 4 7 8 7 5 3 3 3 4 4 4 4 4 4 5 6 6 4 4 4 6 7 8 10 14 19 20 18 15 13 10 6 4 5 6 7 10 11 10 10 9 9 8 7 7 6 4 4 4 4 4 3 3 4 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 5 5 5 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 5 4 4 5 5 3 3 4 5 6 6 5 4 4 4 4 4 4 4 4 4 6 6 6 4 4 4 6 8 9 8 5 4 3 3 3 2 2 2 2 2 2 2 1 2 2 2 2 3 3 2 3 2 2 3 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 4 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 5 5 5 5 6 7 9 12 19 25 27 28 23 5 -13 -10 3 7 1 -3 -0 5 7 6 5 4 3 3 4 6 8 9 9 7 6 5 4 2 3 4 5 5 5 4 2 7 10 6 1 1 3 3 2 3 6 10 12 3 -3 -1 3 7 6 3 -0 -1 1 2 4 5 7 10 13 14 12 9 7 4 4 3 2 3 8 7 12 14 5 4 4 2 4 4 9 21 34 31 16 18 26 18 4 -4 -4 5 16 16 10 10 15 11 6 6 6 5 3 2 3 3 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 6 6 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 2 1 2 3 3 4 4 4 4 4 5 6 6 6 5 4 3 3 4 4 3 4 5 6 5 4 4 4 5 5 6 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 2 -1 0 3 4 4 4 4 3 3 4 4 5 6 6 6 7 6 5 3 3 4 6 6 5 4 3 3 4 4 5 4 4 5 5 6 6 5 4 4 5 6 6 8 13 20 23 20 17 13 9 6 4 5 7 9 10 11 10 9 8 7 7 7 7 6 5 4 4 4 4 3 3 3 3 2 1 0 0 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 3 4 5 5 6 6 6 6 7 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 6 8 9 7 5 4 5 5 4 3 3 4 4 5 6 6 5 4 4 4 4 4 4 4 5 6 7 8 6 5 5 7 9 9 7 5 4 4 3 2 2 2 3 3 4 4 3 2 2 3 3 3 3 3 3 2 2 1 1 1 1 2 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 6 5 5 6 6 6 7 8 13 20 23 22 20 20 17 6 -8 -8 0 3 -2 -5 -2 5 8 7 6 5 4 3 4 6 8 9 8 7 5 3 2 3 3 4 3 5 8 10 5 -0 3 8 6 2 1 2 3 3 4 7 7 6 1 -0 3 6 3 1 1 2 4 5 6 8 10 13 15 14 12 8 6 5 3 2 3 5 6 6 10 10 8 5 2 4 4 1 5 19 31 26 21 30 34 21 4 -3 -2 8 15 12 8 11 17 13 6 6 6 5 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 5 5 4 5 5 5 4 5 5 5 4 4 3 2 2 3 4 4 4 4 4 4 4 4 5 6 6 5 4 4 4 4 3 3 4 6 6 4 4 5 4 4 5 6 7 7 7 7 6 6 6 5 5 4 5 5 4 4 4 2 -2 -4 -2 3 4 3 4 4 4 4 4 5 6 6 7 7 7 6 5 4 4 5 5 6 6 4 3 3 5 5 4 4 4 5 5 6 6 4 4 5 6 6 7 11 16 20 21 19 15 10 7 5 5 7 10 11 11 11 10 8 7 7 8 8 7 6 4 4 4 3 3 3 2 1 1 0 1 1 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 2 3 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 7 9 8 6 4 5 5 5 4 2 2 2 3 5 6 6 5 5 5 5 4 4 4 4 6 8 10 8 5 4 5 7 8 8 7 6 5 4 3 3 3 3 3 4 5 4 3 3 3 4 4 3 3 3 2 1 1 1 1 0 1 1 1 1 1 1 2 1 2 2 2 2 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 6 7 8 9 13 22 25 18 11 12 12 6 1 -5 -6 -1 2 1 -0 1 6 9 9 7 6 4 4 4 7 8 9 9 6 4 2 1 3 4 3 2 3 7 11 10 3 1 4 5 4 2 3 4 4 7 10 8 9 6 4 3 2 1 2 4 7 10 12 11 10 12 16 18 16 12 8 6 7 5 3 6 9 7 5 5 3 6 6 3 4 2 -4 -4 2 11 15 24 38 35 19 4 -2 1 10 14 10 8 10 16 13 5 6 6 5 4 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 3 2 2 3 4 4 4 3 3 3 3 3 4 5 6 7 7 6 4 3 2 1 3 5 6 6 5 6 5 4 4 5 6 6 7 7 7 7 6 6 5 5 5 4 3 3 5 7 3 -3 -5 -0 4 3 4 4 4 4 4 4 5 5 6 7 7 7 6 5 5 5 6 6 7 6 3 3 5 5 5 4 4 4 5 6 6 4 4 4 5 6 7 8 10 13 17 18 14 11 10 7 6 8 10 11 12 12 10 9 8 9 10 10 8 6 6 4 3 3 3 2 0 0 0 0 1 2 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 3 3 3 3 4 5 5 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 6 6 7 7 8 7 6 4 4 5 6 5 3 2 2 2 3 6 7 7 6 6 5 5 5 5 4 5 7 9 9 5 4 5 6 7 8 8 7 6 4 3 3 4 3 3 4 5 5 4 4 4 5 4 4 3 2 1 1 0 -0 0 1 0 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 10 11 14 21 26 20 8 4 8 8 -2 -8 -4 -1 3 6 8 8 8 8 11 12 9 6 4 4 5 7 8 9 9 6 3 0 0 2 3 3 4 4 4 4 6 9 6 1 0 3 4 5 5 7 13 17 16 14 11 7 5 4 4 5 6 9 13 15 12 7 7 12 19 20 15 10 8 8 7 4 7 12 9 5 2 -2 3 7 4 3 -1 -8 -11 -10 2 14 25 38 31 14 3 -0 4 10 11 9 8 11 15 13 6 5 5 5 4 3 3 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 6 6 4 3 2 3 5 5 4 3 3 3 3 4 3 3 5 7 8 7 6 3 1 -0 -0 3 6 6 7 7 6 5 4 5 6 7 7 7 7 7 6 6 6 5 5 4 2 3 6 11 10 3 0 1 3 3 4 4 4 4 4 4 4 4 5 6 7 8 7 5 6 6 7 6 8 9 5 2 4 5 5 5 4 4 5 6 6 5 4 4 5 6 6 6 7 8 10 11 10 9 9 7 6 8 8 9 10 11 10 9 8 8 10 10 9 9 7 5 4 5 4 2 1 0 0 1 1 2 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 3 3 3 3 4 5 5 4 4 5 5 4 5 5 4 4 4 4 4 5 6 7 7 7 7 8 6 3 2 4 5 6 6 4 3 2 2 5 7 7 7 6 6 6 6 6 5 5 6 8 7 6 5 6 8 8 8 9 8 7 6 5 4 4 3 3 4 5 6 6 5 5 5 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 6 6 7 7 7 7 10 13 16 19 23 21 11 2 1 4 4 -6 -12 -2 6 9 11 14 15 13 11 13 14 11 7 5 4 5 7 9 10 10 7 3 -1 -2 1 3 4 7 10 5 4 5 4 4 3 2 3 4 5 7 12 18 20 20 15 12 9 6 5 5 7 8 9 11 14 10 1 -3 2 14 22 19 14 11 11 8 5 7 10 9 5 1 -0 5 10 8 1 -2 -4 -7 -2 10 16 25 32 25 12 4 2 6 8 8 8 8 11 16 13 7 5 5 5 4 3 2 3 4 4 4 5 5 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 5 5 4 5 5 5 5 4 5 5 4 4 4 4 5 5 4 4 4 4 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 6 6 4 3 4 5 5 4 3 3 3 3 4 4 3 4 5 8 9 7 4 1 -2 -3 -0 4 5 7 7 6 5 4 5 6 8 8 8 8 7 6 6 5 6 6 5 4 4 6 11 14 8 4 4 3 3 3 3 3 5 4 4 4 4 4 5 6 8 9 5 4 7 7 7 8 10 7 3 4 6 5 4 4 3 4 5 6 5 4 4 4 5 5 5 5 6 7 6 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 9 10 11 10 8 7 6 5 4 3 1 1 1 2 3 5 7 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 3 3 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 4 5 5 6 7 7 7 8 7 4 2 2 4 6 8 7 5 3 2 3 6 7 6 6 6 6 6 6 6 6 6 6 6 4 5 6 7 8 9 10 11 10 9 7 6 5 4 4 4 5 7 7 7 5 5 3 2 2 1 1 1 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 5 5 6 7 8 9 8 9 14 16 17 18 18 13 5 0 -1 -1 -0 -2 -2 2 8 11 13 17 18 16 12 13 16 13 8 5 4 6 8 10 10 10 7 4 -1 -3 -0 4 3 7 13 6 7 8 2 -1 0 2 2 4 6 9 14 17 16 14 10 7 5 4 4 4 7 9 7 6 9 8 1 -5 -1 12 22 21 16 12 10 9 6 6 8 8 6 3 3 8 13 10 1 -2 1 4 11 14 18 25 27 20 11 5 3 4 6 7 7 8 11 15 12 6 5 6 5 5 3 3 3 4 4 4 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 3 3 4 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 4 4 5 5 4 4 4 5 5 4 5 5 5 4 4 4 4 4 4 5 5 4 3 3 4 6 6 5 5 5 5 5 5 3 2 3 3 3 4 4 3 4 7 9 9 6 1 -2 -3 -2 1 4 6 6 4 3 3 4 4 6 8 9 9 7 5 4 4 5 6 6 7 8 8 7 10 9 5 4 4 3 3 3 3 4 4 4 4 4 4 3 4 6 10 8 4 6 7 8 8 8 8 6 6 6 5 4 4 4 3 5 6 5 4 4 4 4 4 4 5 5 5 5 4 3 3 4 5 6 7 7 5 5 6 6 7 7 8 8 10 11 13 12 9 7 6 5 3 3 3 3 3 4 6 8 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 4 3 2 1 1 2 1 1 1 1 1 1 1 1 1 2 2 3 3 4 6 7 7 7 8 8 6 2 1 3 6 8 7 5 3 3 3 4 5 5 5 5 6 6 6 6 7 7 6 5 3 2 3 3 6 8 9 11 12 12 11 9 7 5 4 5 6 8 8 6 5 3 3 2 1 1 1 2 4 5 5 5 4 4 3 3 3 2 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 5 6 8 10 11 9 11 15 15 14 13 11 8 4 1 -3 -3 -0 3 5 6 8 10 14 17 19 17 13 16 19 15 9 6 5 6 7 9 9 9 7 4 -2 -4 0 5 2 3 9 8 7 9 5 1 -0 2 3 5 7 10 13 10 6 4 3 3 2 2 3 4 6 8 6 3 4 7 5 1 5 15 19 17 12 9 9 7 5 5 6 8 7 5 6 9 13 10 2 -2 2 15 22 15 18 23 21 14 8 4 2 2 5 6 7 8 12 17 12 5 5 5 5 5 3 3 4 4 5 5 5 4 5 5 5 5 4 4 5 5 5 5 5 5 5 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 5 5 5 4 3 3 4 5 5 4 3 4 4 6 6 5 5 5 5 4 3 3 3 3 3 3 4 3 4 5 8 9 7 3 -1 -3 -2 -0 3 5 5 3 2 1 2 2 2 4 6 6 6 4 4 3 4 5 6 8 11 10 4 4 7 7 6 6 5 4 4 3 4 5 5 4 3 3 3 3 5 7 8 5 6 7 8 7 7 7 6 6 6 6 5 4 4 3 4 5 6 5 4 4 4 3 3 4 4 5 5 6 5 4 5 5 6 7 6 5 4 4 5 6 7 7 7 8 9 10 11 11 10 9 6 5 4 4 5 4 4 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 5 4 3 3 3 3 3 2 2 2 2 1 0 0 0 1 1 1 2 4 5 6 6 7 8 7 5 2 3 5 7 7 5 3 3 3 3 3 3 4 4 4 6 6 7 8 8 7 5 4 3 2 1 2 4 6 8 11 13 13 12 10 7 5 5 7 8 7 5 3 2 2 1 1 1 2 3 5 5 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 7 9 11 11 9 9 11 11 11 12 10 9 8 1 -5 -4 2 5 5 7 8 10 13 16 19 18 16 19 22 18 10 6 5 5 5 6 8 7 6 4 -1 -3 1 4 1 -1 3 9 9 7 4 5 6 5 5 6 6 10 11 3 -3 -4 -0 4 5 3 2 3 5 7 6 3 3 6 8 9 13 16 13 8 6 8 9 8 8 9 8 7 8 8 5 7 10 9 4 -2 -1 19 29 20 17 15 10 6 4 1 1 4 6 7 7 9 12 15 11 4 4 5 5 5 3 3 4 4 5 4 4 5 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 4 3 3 3 5 6 6 5 4 5 5 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 7 8 7 4 1 -1 -1 1 2 5 6 5 4 2 2 2 2 2 2 3 4 4 4 4 4 4 6 8 10 8 4 -0 0 5 8 8 7 6 5 5 5 6 5 4 3 2 3 3 4 5 5 5 5 6 7 7 7 6 6 6 6 7 7 5 4 3 4 4 5 5 5 5 4 3 2 2 3 4 5 7 8 8 7 6 6 6 5 5 4 4 4 5 6 6 6 6 6 6 6 9 12 13 11 8 5 5 5 5 5 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 6 6 6 5 6 7 7 6 7 7 5 3 2 0 0 0 1 1 2 3 4 4 4 6 8 7 5 4 6 8 8 6 4 4 3 2 2 2 3 3 4 5 5 6 7 7 7 6 5 5 4 3 1 1 2 4 7 10 12 13 12 10 8 6 6 7 6 4 2 2 1 1 2 2 3 4 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 7 9 10 11 10 8 8 9 8 10 13 12 12 10 -2 -8 -3 2 5 6 7 8 9 11 14 17 18 19 23 25 19 10 7 5 2 2 4 6 7 6 4 2 2 3 3 2 1 3 7 7 6 6 6 4 4 6 5 4 5 4 -2 -6 -4 1 5 7 5 3 3 3 4 6 6 5 6 11 16 17 11 2 -1 6 11 11 8 11 18 13 7 10 9 5 5 8 8 3 -4 -5 15 27 21 14 5 -3 -1 3 1 3 9 10 8 8 9 10 13 10 5 4 5 5 4 3 4 4 4 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 5 6 6 6 5 5 5 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 4 5 6 6 6 4 4 4 5 5 5 5 4 4 4 3 4 4 4 3 3 3 4 4 6 6 5 4 2 1 1 2 3 5 8 8 7 5 5 4 3 3 3 3 3 3 4 4 4 5 7 10 8 5 2 -2 -3 2 7 8 8 8 8 8 8 8 6 4 3 2 2 3 3 4 4 4 4 5 6 6 6 6 6 6 6 7 8 7 5 4 4 4 5 5 5 5 4 3 3 2 3 3 4 6 8 10 9 8 7 6 5 4 4 3 3 3 4 5 4 4 5 4 5 9 13 16 18 14 7 4 5 6 6 7 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 6 7 7 8 8 9 10 10 11 11 11 11 9 6 3 1 1 0 0 1 2 3 3 3 4 7 9 9 7 6 8 9 8 5 4 4 2 2 2 3 3 4 4 5 5 5 5 5 5 6 6 6 6 4 2 1 1 3 5 8 11 13 13 12 9 7 6 5 3 2 1 1 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 6 6 6 7 11 12 11 9 7 8 9 9 10 13 13 9 4 -6 -7 -1 3 4 6 7 8 9 10 13 15 18 21 26 26 18 10 6 2 1 2 4 6 5 5 4 3 3 5 5 5 6 5 3 2 2 5 3 3 6 9 6 1 -2 -3 -3 -2 -0 1 1 3 5 5 3 1 1 6 9 8 8 12 16 13 4 -6 -4 8 15 11 5 10 20 15 7 7 7 5 7 8 7 6 3 -0 13 25 21 10 -3 -10 -1 5 4 9 14 12 9 9 8 9 13 12 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 4 4 4 4 5 6 6 5 4 4 4 4 4 3 4 4 4 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 4 5 5 4 5 4 4 4 4 3 3 3 4 6 7 7 6 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 6 5 6 6 6 6 6 5 5 6 7 6 6 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 4 2 1 1 2 3 6 9 11 10 7 6 6 5 4 4 3 3 4 5 5 5 6 8 11 10 5 0 -3 -4 0 4 5 8 11 12 12 11 9 7 5 3 2 2 3 4 4 4 4 4 4 4 5 6 6 6 5 5 6 8 8 8 5 4 4 4 5 5 5 5 5 4 3 3 3 4 4 6 9 11 12 11 8 5 4 4 3 3 3 3 3 3 4 5 4 6 10 13 17 23 19 8 4 5 6 8 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 7 7 8 8 9 10 11 11 11 13 14 12 9 5 2 0 1 1 2 2 3 3 3 5 10 10 7 6 6 8 8 6 5 5 4 3 3 3 4 5 5 5 5 4 4 4 4 4 5 5 6 6 4 3 1 1 2 5 8 10 14 15 14 10 6 4 2 1 2 2 3 2 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 6 6 8 12 12 10 8 7 8 9 9 10 12 11 5 -3 -8 -4 2 3 4 5 7 8 8 10 13 15 18 22 25 23 15 9 4 -0 1 4 5 5 4 4 4 3 3 4 4 6 9 5 -1 -2 0 3 4 4 8 11 6 -0 -3 -2 2 6 6 3 1 1 3 4 3 1 2 6 9 10 8 8 10 7 -1 -7 -3 8 14 9 3 6 11 9 5 2 2 6 9 9 6 12 18 13 17 26 20 7 -7 -9 5 11 12 15 15 12 10 8 8 9 14 12 6 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 3 4 5 6 7 7 7 5 5 5 5 4 4 4 3 3 3 4 5 4 3 3 3 2 3 3 3 3 4 4 5 5 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 4 3 2 3 4 4 5 9 13 10 6 4 5 5 4 4 3 4 4 5 5 6 7 8 12 13 7 -1 -3 -2 1 2 3 6 11 15 16 15 11 7 5 3 3 3 4 5 5 4 4 3 2 2 4 4 5 5 5 5 5 7 8 8 6 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 7 10 13 14 12 9 6 4 4 4 3 2 2 2 3 5 4 5 7 10 15 19 16 7 3 4 6 7 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 4 4 5 6 7 7 8 8 8 9 11 14 15 14 10 6 3 2 1 2 2 3 4 3 5 10 10 5 2 3 5 6 5 5 5 5 4 3 4 5 6 6 6 5 4 4 4 4 4 4 5 5 5 5 4 2 1 1 2 3 6 10 15 16 13 8 5 3 2 2 3 3 3 2 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 11 11 9 8 8 8 8 8 9 11 10 3 -4 -5 -1 3 4 4 5 6 8 9 10 14 16 18 19 20 18 14 8 3 0 1 4 5 3 3 5 4 4 5 3 -0 2 7 5 -2 -3 1 4 5 5 5 6 5 2 3 4 10 14 9 5 4 3 3 4 4 4 5 6 6 7 7 5 5 4 1 -3 -0 8 14 12 5 -0 1 5 4 1 1 5 7 6 3 15 25 17 17 24 19 5 -9 -5 14 20 18 17 14 11 9 9 8 9 13 13 7 4 5 4 5 5 4 4 4 5 5 4 5 6 6 5 4 4 4 5 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 6 7 7 6 5 4 4 5 5 4 4 4 4 3 3 4 4 3 3 2 2 2 2 3 3 3 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 6 4 3 8 12 9 4 3 4 4 4 4 4 4 4 4 5 5 6 7 11 14 10 -2 -2 3 2 1 2 5 8 14 19 18 13 7 4 3 3 4 5 5 5 5 4 3 2 2 3 3 4 4 4 5 5 5 6 7 6 5 4 3 4 4 5 5 5 5 4 4 4 4 4 4 5 8 11 14 15 13 10 7 6 5 4 3 2 2 3 4 4 2 4 6 8 9 8 5 4 4 4 5 6 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 4 5 3 2 3 5 6 7 7 7 7 7 8 10 13 14 14 10 7 4 3 3 3 3 4 4 6 9 9 4 1 3 4 5 4 4 5 5 5 5 6 7 7 6 6 5 4 5 5 5 5 5 5 5 4 3 3 3 1 -0 0 1 3 6 10 14 13 10 6 4 3 2 3 3 4 3 2 3 4 4 4 5 5 6 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 4 3 4 4 4 4 4 4 4 3 3 3 4 4 5 6 6 6 5 9 11 9 9 9 9 8 8 9 9 7 2 -2 -1 2 3 4 4 5 6 8 9 11 14 17 16 15 13 13 10 6 2 0 1 3 3 2 3 6 4 6 11 8 1 1 5 4 2 1 3 4 4 3 0 2 5 6 8 8 12 14 8 6 5 4 3 4 5 5 5 3 1 2 4 5 5 6 6 6 7 12 17 14 6 2 5 8 5 2 2 4 4 2 3 11 13 10 16 22 18 5 -7 1 21 26 20 15 12 9 8 9 8 8 11 14 9 4 5 5 5 5 4 4 4 4 4 4 5 6 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 4 5 5 4 4 4 4 4 3 3 4 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 6 6 6 7 5 1 -0 3 7 6 4 4 4 4 4 4 4 4 5 5 5 5 5 6 9 15 11 1 1 4 3 2 3 4 6 11 16 18 14 8 5 4 4 4 6 5 4 5 5 4 3 2 2 2 3 4 4 5 5 5 5 5 6 5 4 4 3 4 4 5 5 5 5 5 4 4 4 4 4 6 8 10 13 14 13 12 10 8 7 6 5 4 4 3 3 2 1 3 4 3 3 5 6 5 4 3 4 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan -1 -1 1 4 6 4 2 2 4 5 7 7 7 7 7 7 8 10 11 12 12 10 8 7 6 6 7 7 6 7 8 9 7 4 4 3 3 3 4 4 4 5 5 6 7 7 5 5 4 4 5 6 7 6 6 6 6 5 3 3 2 1 -0 -1 -0 2 3 6 9 12 11 8 6 4 3 4 4 4 3 3 2 3 3 4 5 5 5 5 5 4 3 3 4 4 4 4 4 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 5 4 6 11 11 11 9 9 8 9 9 7 3 1 1 2 3 3 4 5 5 6 7 9 12 15 16 14 11 9 8 5 2 0 0 1 2 3 2 4 6 3 4 9 10 5 3 4 4 4 5 5 5 4 3 4 8 9 7 7 7 7 8 6 7 7 5 4 6 8 5 1 -1 -2 -1 3 6 9 13 14 14 14 14 16 12 4 3 9 12 7 2 3 4 1 1 6 5 2 8 18 24 18 4 -4 5 22 24 18 13 9 7 8 8 7 8 13 16 10 4 5 6 5 6 5 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 4 4 5 4 4 5 5 5 5 5 4 4 6 8 7 3 -1 -2 -1 0 2 4 4 5 5 5 5 6 6 5 5 5 5 5 5 8 11 10 6 6 6 4 3 3 4 5 7 11 14 14 10 6 5 4 5 7 5 4 5 6 5 5 4 3 2 3 4 4 5 5 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 4 5 5 7 9 11 12 13 13 11 10 9 9 8 6 5 3 3 2 3 3 2 3 6 7 6 5 4 4 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 -0 1 5 8 6 3 3 3 4 5 6 7 6 6 8 8 8 8 9 10 10 10 12 15 17 16 12 9 9 10 11 10 7 5 3 2 2 3 3 3 3 5 6 6 5 4 4 4 4 5 6 7 7 7 7 7 7 5 4 3 2 1 0 1 1 2 3 6 9 10 10 9 7 6 5 5 4 4 3 2 2 2 3 4 4 4 4 5 4 3 3 3 3 4 4 4 3 3 2 2 2 2 3 3 4 4 4 4 3 4 4 3 3 3 4 5 6 6 5 4 4 5 12 16 12 10 9 8 10 9 4 -1 1 2 3 4 4 4 4 5 7 7 9 12 15 15 11 8 5 3 2 2 2 1 2 3 4 5 5 5 6 7 6 5 4 1 2 2 3 5 6 6 5 8 16 21 15 8 6 6 5 4 5 9 9 6 8 11 8 2 -2 -3 -3 -0 4 8 12 15 16 16 14 11 10 3 -7 -7 7 16 7 -0 3 2 -2 -1 3 4 5 12 22 26 17 2 -2 9 20 20 15 10 7 7 7 7 6 9 14 13 7 5 6 6 6 6 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 5 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 6 6 5 5 4 4 6 9 7 2 2 1 0 -0 1 4 5 6 5 6 6 6 7 7 7 6 5 5 5 6 8 8 8 8 8 6 4 3 4 5 5 6 9 11 10 8 7 7 7 7 6 4 5 7 8 8 7 5 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 8 10 10 11 10 10 10 11 11 10 8 7 5 5 5 5 3 2 4 6 6 6 6 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 7 10 12 10 6 5 5 3 3 4 4 4 5 7 8 8 6 6 6 7 11 17 22 24 19 13 9 8 10 13 14 11 7 3 2 1 1 2 2 2 3 4 4 3 3 5 6 6 5 6 6 6 6 6 7 7 7 6 5 4 3 1 2 2 2 3 4 6 8 10 10 11 10 8 7 6 5 4 3 2 2 3 3 3 3 4 5 4 3 3 3 3 3 4 4 3 3 3 2 2 3 3 4 4 4 4 3 4 4 3 3 3 3 4 5 6 6 4 3 3 6 15 18 12 10 9 8 11 9 0 -3 0 3 4 4 4 4 5 6 6 7 9 12 14 13 10 7 4 2 3 4 4 3 3 3 5 7 7 8 10 4 0 3 4 -2 -2 -0 3 5 6 8 7 7 14 19 14 8 5 5 5 4 4 6 6 5 7 9 4 -2 -3 -2 -0 3 7 11 10 10 9 9 8 5 3 -0 -12 -13 6 17 7 -2 -0 -1 -4 1 8 9 9 16 26 27 16 2 0 11 19 18 13 8 6 7 8 7 6 8 11 9 6 6 8 7 6 6 5 5 5 5 5 6 6 6 6 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 6 5 4 4 5 5 5 4 4 3 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 6 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 6 6 5 5 4 5 7 9 6 4 4 4 3 1 2 5 6 5 6 6 6 6 7 7 7 7 6 6 5 5 5 6 7 8 8 7 5 3 3 4 4 3 4 5 8 9 10 10 9 8 7 4 4 7 11 13 11 7 6 5 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 6 8 9 8 8 8 8 11 13 13 12 10 8 7 7 6 3 2 2 4 5 6 6 6 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 13 14 14 14 13 11 7 3 2 3 1 2 4 6 8 8 7 6 5 5 9 17 20 17 11 6 3 4 7 11 15 14 10 6 3 2 2 3 2 2 3 2 2 2 3 6 8 8 6 4 4 4 4 4 4 5 6 6 6 6 4 3 3 3 3 3 3 4 5 7 8 10 11 10 9 8 8 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 2 2 3 4 4 3 3 3 3 4 4 4 3 3 4 5 6 6 5 4 3 4 9 17 18 13 11 10 10 10 6 -2 -2 1 3 4 4 4 5 6 6 7 7 9 13 15 13 10 8 6 5 6 5 4 4 5 6 7 8 9 12 8 -6 -4 6 4 -3 -4 1 4 5 6 7 6 5 4 3 3 2 3 4 5 4 3 3 3 5 5 1 -3 -4 -2 0 3 7 10 12 11 7 2 1 2 0 -1 0 -4 -6 4 9 4 -2 0 4 7 10 13 13 12 19 26 23 13 2 3 13 18 15 11 7 6 7 7 6 6 8 10 9 7 7 10 9 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 5 6 5 5 6 5 5 4 5 5 4 4 4 4 4 4 3 3 3 4 4 5 6 5 4 4 3 4 3 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 3 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 7 7 8 8 7 6 6 6 7 7 5 5 4 5 7 8 5 4 4 5 4 1 -2 1 5 5 5 6 6 6 6 7 7 7 7 6 6 5 5 6 7 8 8 7 6 4 3 4 4 3 2 3 5 7 9 10 10 8 6 4 4 6 10 13 12 10 8 6 6 5 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 6 7 7 7 6 7 9 12 13 14 13 12 10 8 7 5 3 2 3 4 5 5 5 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 11 12 12 15 18 16 10 4 3 2 1 1 3 5 7 9 9 8 6 5 8 12 12 7 3 0 -1 -0 4 8 11 13 11 7 5 4 5 5 4 4 3 3 2 2 4 7 10 10 7 3 2 3 3 3 3 4 5 5 6 7 6 3 3 3 4 4 4 3 3 3 5 6 8 8 9 9 9 9 8 7 6 6 6 6 6 5 6 6 5 5 5 5 4 3 3 3 3 4 3 3 3 3 3 4 4 3 3 3 4 4 4 4 5 6 6 5 4 3 4 6 12 19 19 13 10 11 11 8 1 -3 -1 2 4 4 4 5 5 6 7 7 8 10 14 17 14 11 9 8 7 6 5 5 5 6 7 8 11 11 8 5 1 2 6 3 -0 -0 3 6 6 6 8 9 8 6 2 -1 0 2 3 4 1 -0 -0 2 5 3 -2 -5 -3 0 4 7 10 13 16 17 15 8 4 2 1 1 2 3 1 3 1 1 3 6 12 15 14 13 12 14 20 22 19 10 3 5 13 16 13 10 7 7 7 6 4 6 9 9 9 8 8 11 10 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 5 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 5 6 6 5 5 4 4 4 3 4 4 4 5 6 6 5 4 4 4 5 5 3 3 2 4 5 6 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 6 5 6 6 6 7 8 8 8 9 9 9 8 8 8 8 8 7 6 4 4 5 6 4 4 5 5 5 4 2 -2 -4 1 5 6 6 6 6 6 6 7 7 7 7 6 6 5 6 6 7 8 8 7 5 3 3 4 4 3 3 3 5 6 7 8 7 5 5 5 5 7 8 10 11 10 9 7 5 4 4 5 5 5 5 5 4 4 4 5 5 4 5 5 6 6 5 5 5 5 5 4 4 4 4 3 4 5 6 6 6 5 7 9 13 15 16 15 13 10 8 6 4 4 4 5 4 4 5 6 6 6 5 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 12 18 18 11 6 4 2 1 1 2 5 7 8 9 10 9 8 8 8 7 5 3 1 -0 0 1 4 7 9 8 6 6 6 6 6 6 7 6 6 5 4 4 7 8 7 5 3 3 4 4 4 3 4 4 5 5 6 6 5 3 3 5 6 5 3 3 3 3 3 5 6 7 8 9 10 9 8 7 8 9 8 8 8 9 9 9 8 8 8 7 5 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 6 6 6 5 3 3 6 9 16 21 18 11 8 9 10 3 -1 -2 -2 2 4 4 5 5 5 6 7 8 9 11 14 16 15 11 9 9 9 9 9 7 5 4 6 5 7 7 1 1 6 6 5 4 2 4 5 7 8 11 14 12 10 11 9 5 3 3 4 3 0 -1 -1 1 -0 0 0 -1 2 4 7 10 14 18 22 24 22 17 12 9 8 7 7 7 8 11 4 2 8 9 8 9 11 12 11 12 14 16 14 9 5 8 13 14 12 9 8 7 6 4 3 6 9 8 7 8 9 12 10 6 5 6 7 7 7 6 6 5 5 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 6 6 5 5 4 4 4 3 3 3 4 5 6 6 5 4 4 4 5 4 3 2 3 5 7 6 6 5 5 4 5 5 6 5 5 5 5 5 5 5 4 5 5 5 5 6 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 7 8 9 10 10 10 10 10 10 10 10 10 9 7 5 3 3 3 3 3 4 4 5 5 4 3 -0 -2 2 5 5 6 6 6 6 6 7 7 6 7 7 6 6 5 6 7 7 8 8 7 4 2 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 7 10 12 12 10 7 4 3 3 4 5 6 5 5 5 5 4 4 4 4 5 6 6 5 5 5 6 5 5 5 4 4 3 3 4 5 5 5 5 6 7 10 13 16 16 14 11 8 7 6 5 5 5 4 4 5 6 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 5 5 5 7 13 15 13 9 5 2 1 0 0 3 5 6 7 8 10 11 10 8 6 5 3 3 2 2 1 2 4 6 6 5 4 5 5 5 6 9 11 10 8 7 6 5 5 4 4 4 5 5 6 6 6 5 4 5 6 6 6 5 3 3 4 6 6 5 3 3 3 3 3 4 4 5 6 7 7 7 7 8 9 10 10 10 11 12 12 11 12 12 10 7 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 5 6 6 6 6 5 4 3 5 10 15 21 23 16 8 6 7 5 -2 -2 -0 -2 2 4 5 5 5 6 6 7 9 9 11 13 15 14 11 9 9 11 14 13 10 4 3 5 2 1 2 3 4 5 5 6 5 4 5 7 8 9 12 12 9 9 10 10 7 5 3 2 1 -0 -0 0 0 -1 1 4 4 5 7 11 14 19 24 27 27 25 22 17 15 14 12 9 8 14 20 11 5 6 4 2 4 9 12 10 6 5 10 12 8 6 10 13 15 13 9 8 8 6 3 3 7 9 7 6 6 10 13 12 6 4 6 8 8 7 7 6 5 5 6 6 5 5 5 5 5 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 4 3 3 4 3 3 4 5 7 6 5 4 4 4 4 3 2 2 4 7 7 7 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 5 5 5 5 6 6 6 6 6 5 5 5 6 6 7 8 10 11 12 12 11 12 12 12 12 11 10 9 6 2 0 1 2 3 4 5 4 4 4 4 4 2 -1 1 5 6 6 6 7 6 6 7 7 7 7 7 7 6 5 6 6 6 7 9 9 5 2 3 4 4 4 5 5 5 6 6 7 6 7 7 7 5 4 4 8 11 13 13 11 7 5 4 4 5 6 6 6 5 5 4 4 4 3 4 6 6 5 5 5 5 5 5 5 5 5 4 3 3 4 4 5 5 5 6 8 11 14 15 13 10 8 7 6 6 6 6 5 5 6 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 4 5 5 5 7 11 12 11 8 4 2 -0 -1 -0 1 2 3 6 11 13 11 9 7 5 4 3 3 4 3 3 5 6 5 5 5 4 3 2 3 8 14 15 12 9 6 4 4 4 4 5 5 6 7 7 8 7 6 6 6 6 6 6 4 3 4 5 6 6 5 3 3 2 2 2 3 3 3 4 4 5 5 6 8 8 9 9 10 11 11 11 11 13 11 8 6 5 4 4 4 3 3 4 4 4 4 4 4 3 4 5 6 6 6 6 5 3 4 10 17 23 28 22 11 6 5 5 0 -6 -4 -1 0 3 5 6 5 5 6 6 8 9 10 10 12 13 14 11 9 9 12 14 14 11 6 5 6 2 -0 5 10 8 1 2 5 7 6 5 6 7 8 7 5 6 8 8 8 6 3 0 -2 -2 -1 0 2 2 3 5 7 8 8 11 13 18 21 28 30 26 23 21 17 14 14 15 10 3 6 11 9 6 4 2 2 6 11 13 8 2 4 14 17 9 7 11 14 15 13 9 7 7 5 3 5 8 8 7 6 5 10 15 13 6 3 6 8 9 8 7 6 5 5 5 6 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 5 4 3 4 4 4 3 3 4 6 7 6 6 5 4 3 3 2 2 4 6 6 6 5 5 6 6 5 6 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 6 5 5 6 5 5 6 6 6 6 6 5 5 5 6 7 8 9 11 12 13 13 12 13 13 14 14 12 10 8 5 0 -1 1 4 5 6 5 4 4 4 3 4 4 -2 -3 4 5 6 7 7 7 7 6 6 6 7 7 7 6 6 6 6 6 7 8 9 6 4 5 6 6 5 5 6 6 6 6 6 6 7 7 7 5 4 3 4 7 11 15 15 12 9 6 5 5 6 7 7 7 5 4 3 3 3 4 5 5 5 5 5 5 5 6 6 6 6 5 4 3 3 4 5 5 5 6 7 10 13 13 12 10 8 6 6 7 7 7 7 7 7 8 9 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 5 6 6 5 6 8 9 9 7 3 1 0 -1 -0 0 3 10 16 16 11 8 7 6 5 4 4 4 4 5 5 6 6 5 6 6 4 1 0 6 14 16 13 8 6 5 5 5 5 6 6 7 7 7 8 8 8 7 6 6 7 6 5 4 3 3 5 5 5 4 3 2 2 3 3 3 3 3 4 4 4 4 5 6 6 6 5 6 6 7 8 9 10 8 6 6 5 5 4 3 3 3 4 4 5 5 4 4 5 7 7 7 7 5 3 3 8 18 24 29 29 17 6 5 6 3 -3 -9 -6 -0 2 4 5 6 6 5 6 6 7 9 9 10 11 13 14 12 9 8 8 9 10 10 10 9 8 3 2 7 10 5 1 2 5 7 6 5 5 5 5 3 4 11 14 11 7 3 -1 -4 -5 -4 -1 1 3 5 7 8 10 11 12 12 13 15 19 27 29 22 17 14 12 10 11 16 12 0 -4 -3 2 7 8 6 5 7 9 9 7 6 15 26 22 10 8 11 14 14 12 9 7 6 5 5 7 8 7 6 6 7 12 16 13 5 2 5 9 9 8 7 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 3 4 4 4 4 4 5 7 7 7 7 5 3 3 3 2 5 7 6 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 6 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 7 9 10 12 13 13 13 13 13 14 14 14 12 10 8 5 2 1 4 6 5 5 5 4 3 3 4 3 3 1 0 3 5 6 7 7 8 7 7 6 6 7 7 6 6 6 6 5 5 6 7 7 5 3 5 6 6 6 6 6 6 6 6 5 5 6 7 6 5 3 2 2 3 7 12 17 16 11 7 6 5 6 7 8 7 6 5 4 3 4 4 5 5 6 5 5 5 5 5 6 6 6 6 5 4 4 4 4 5 6 6 7 9 12 13 12 10 8 7 8 7 7 7 7 7 9 11 12 12 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 5 6 6 6 5 4 5 7 7 5 4 3 2 3 4 8 15 19 16 10 6 7 7 6 5 4 4 4 5 5 6 6 7 7 7 6 3 1 5 12 15 12 8 5 5 4 5 5 6 6 6 7 7 7 8 8 8 7 7 7 6 6 5 3 3 4 5 4 3 2 2 3 4 4 4 5 5 5 5 4 3 3 3 4 3 3 3 3 3 4 5 6 7 6 6 5 5 4 3 2 3 4 4 5 6 5 5 7 7 7 7 7 4 2 6 15 23 26 27 23 12 4 7 8 2 -6 -9 -5 1 4 5 6 6 6 5 6 7 8 8 8 10 13 15 14 12 9 7 7 6 7 9 11 10 7 4 4 6 5 3 5 5 7 7 6 5 5 5 5 5 11 20 20 12 5 -0 -4 -6 -5 -3 0 2 4 6 9 11 12 12 12 11 11 11 16 23 24 17 10 6 7 8 11 14 13 8 4 2 4 9 10 9 6 6 10 11 10 14 24 30 21 11 9 12 13 13 12 10 8 7 6 6 7 7 6 6 7 9 14 16 10 3 3 6 9 8 8 7 6 5 5 5 6 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 6 7 8 9 8 6 5 4 6 8 8 5 3 3 4 5 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 7 9 11 12 12 13 14 13 13 13 14 13 11 9 8 7 5 4 5 5 6 5 5 4 4 4 4 3 2 0 1 3 5 5 6 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 3 3 5 6 7 7 7 7 6 6 5 4 5 7 7 5 4 2 2 2 4 8 13 15 13 10 7 6 6 7 7 7 6 4 4 3 3 4 5 5 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 6 8 8 7 8 10 12 12 11 9 9 8 8 7 7 7 8 10 13 15 16 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 5 5 6 6 6 4 3 3 2 3 5 4 4 4 5 7 9 13 15 12 7 6 7 8 8 6 5 5 5 5 6 6 7 7 8 8 8 6 4 6 11 13 10 7 4 3 4 4 4 5 6 7 6 6 6 6 6 7 7 7 7 7 7 6 5 4 4 4 4 3 3 3 3 4 5 5 5 6 7 6 5 5 3 3 2 2 1 1 1 2 3 4 5 5 5 5 5 5 4 3 3 3 3 5 6 6 6 7 8 7 7 7 6 3 3 10 18 24 23 19 15 10 9 12 9 -0 -8 -7 -2 2 4 6 6 6 5 5 6 6 7 9 10 10 14 17 15 11 8 8 7 6 7 8 9 7 6 6 8 8 7 7 8 8 8 8 6 5 5 5 5 7 11 14 13 7 2 -2 -5 -6 -4 -0 1 2 3 7 10 13 14 12 10 10 11 11 17 21 19 15 8 3 6 11 12 9 6 11 17 16 12 8 7 7 6 7 12 14 12 16 24 25 17 10 9 12 13 12 11 10 9 8 7 7 6 6 6 5 7 12 16 13 6 3 3 6 9 9 8 7 7 6 5 5 5 5 4 4 5 5 4 5 5 4 5 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 8 10 12 11 10 9 10 10 8 5 4 4 5 6 7 7 7 6 7 6 7 7 7 7 7 7 7 6 6 6 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 8 10 12 12 12 12 13 13 13 12 12 11 10 8 7 8 7 6 5 5 4 4 4 4 4 5 5 4 3 -1 -3 1 4 5 6 7 7 7 8 10 8 5 5 5 4 4 4 6 6 7 6 7 8 5 3 5 6 6 7 7 7 7 6 4 4 6 8 8 6 4 3 2 2 4 6 8 11 13 12 9 7 6 6 6 6 5 4 3 3 3 4 5 5 5 6 6 5 5 5 6 6 6 7 7 6 6 6 6 6 8 9 9 8 8 10 10 10 9 9 8 7 7 7 6 7 9 12 16 16 15 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 5 5 4 4 3 2 2 3 4 4 4 4 5 5 6 8 6 5 6 8 11 11 8 7 7 7 7 7 7 7 8 8 9 8 7 7 7 9 9 7 4 3 2 3 3 4 5 6 6 6 6 5 5 5 5 6 6 7 8 8 7 7 6 5 5 5 5 4 3 4 5 4 4 5 5 6 6 5 5 4 3 1 0 -0 0 0 1 2 3 4 5 5 5 5 5 4 3 3 3 4 4 5 6 7 8 8 7 8 8 4 1 5 11 18 24 24 17 11 14 19 15 5 -6 -10 -5 1 4 5 6 6 6 5 5 5 5 7 10 13 13 16 17 14 9 8 8 8 7 7 7 6 6 8 9 8 10 11 9 9 9 8 7 5 4 3 4 4 4 3 1 1 2 0 -3 -4 -3 -1 0 0 1 4 8 12 15 16 13 11 11 11 12 18 18 16 12 8 7 9 12 11 5 2 6 14 16 10 3 3 5 8 8 6 7 9 13 18 18 13 10 9 11 12 12 10 9 8 8 7 7 6 5 5 5 7 13 16 11 4 4 5 7 8 9 8 7 7 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 5 4 4 5 5 5 5 5 6 5 4 4 5 6 8 11 13 12 11 11 10 8 6 6 6 7 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 9 11 12 12 11 12 12 12 11 10 10 9 8 6 6 7 7 5 5 4 4 4 4 4 4 4 5 6 4 1 -2 -1 4 5 6 7 7 7 8 11 11 8 6 5 4 3 2 3 5 7 8 8 7 6 5 6 6 6 7 7 7 7 6 4 3 5 9 10 8 6 4 3 2 4 5 6 7 10 13 11 9 7 7 6 6 6 5 4 3 4 4 4 4 5 5 6 5 5 5 5 5 6 6 6 7 7 7 6 6 7 9 11 10 8 7 8 9 8 7 7 7 7 6 6 5 6 9 13 13 13 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 5 5 5 5 4 5 4 3 3 4 4 5 5 4 4 3 3 4 4 4 6 10 12 11 9 7 7 7 8 7 8 8 10 11 11 9 8 8 7 7 6 4 3 3 3 4 4 5 6 6 5 5 5 5 5 5 4 4 6 7 9 9 8 8 8 7 7 7 7 6 6 6 6 5 4 4 4 4 5 5 5 5 3 1 1 1 0 1 1 2 2 3 5 6 5 5 4 4 4 3 4 4 5 5 6 8 8 7 7 8 6 2 1 5 10 16 24 27 21 15 18 19 8 -3 -9 -9 -3 2 5 6 6 6 5 5 5 5 5 8 14 17 16 15 15 11 8 8 7 7 7 6 7 7 9 11 7 3 6 8 7 5 5 4 3 1 1 1 2 3 2 0 -1 -2 -1 -2 -3 -2 -2 0 1 0 2 6 10 13 15 17 17 16 13 11 11 13 13 12 10 8 9 10 9 9 7 5 4 7 12 7 -1 0 6 8 7 4 6 9 12 14 14 11 9 9 10 12 11 9 8 7 8 8 7 6 5 5 4 6 12 14 7 3 5 7 8 9 9 9 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 5 5 4 4 4 4 5 6 6 6 6 6 4 4 4 3 3 4 7 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 9 11 12 11 10 10 10 10 9 9 8 8 7 5 5 6 6 5 3 3 4 4 4 5 5 5 6 6 5 4 1 1 4 6 6 6 7 7 8 9 10 9 9 9 7 6 5 4 5 7 8 9 7 6 7 7 7 6 6 7 7 7 6 4 2 6 10 10 8 7 6 5 4 4 6 6 6 7 9 11 11 10 9 7 7 7 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 8 11 11 10 8 7 6 7 6 6 6 6 7 6 5 4 6 9 10 9 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 5 5 5 6 6 5 5 5 5 5 4 4 4 5 4 4 5 4 4 3 3 4 6 8 8 7 6 6 7 8 8 9 12 15 16 14 12 10 9 8 7 6 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 7 8 8 8 8 8 8 8 8 7 7 8 7 7 7 5 4 3 3 4 4 4 4 4 3 3 3 2 2 2 2 3 3 5 6 6 6 5 4 4 4 4 5 5 5 6 7 7 7 8 9 5 1 1 4 7 13 21 24 24 21 12 2 -7 -8 -7 -5 -0 3 5 7 6 5 5 4 5 6 8 12 15 15 14 14 14 11 8 7 4 4 6 6 7 9 10 10 6 4 3 -0 1 1 1 1 1 1 1 2 3 3 2 -1 -3 -5 -8 -9 -7 -3 -1 1 1 1 4 8 12 12 13 15 20 21 16 10 8 9 11 11 9 8 10 7 6 7 10 10 6 6 12 7 -1 4 9 9 7 6 11 12 14 15 13 11 9 9 10 11 10 8 7 7 8 8 7 6 5 5 5 7 10 10 6 5 7 9 9 9 9 8 7 6 5 5 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 5 5 6 7 6 5 4 3 3 4 5 5 5 6 7 6 5 4 3 2 2 2 4 6 8 8 7 6 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 7 7 7 6 7 8 9 11 11 10 9 8 8 8 8 7 7 6 6 6 5 6 6 4 3 2 3 3 3 4 7 9 8 6 6 5 4 4 5 6 6 6 7 7 7 8 8 8 9 10 9 9 8 7 6 6 7 8 7 7 7 7 7 7 7 7 7 7 6 4 3 7 10 9 8 7 8 7 6 6 7 7 6 5 6 8 10 11 11 10 9 8 8 7 6 6 5 4 4 4 4 3 5 6 5 5 5 5 6 6 6 7 8 8 7 6 6 8 10 11 11 9 6 6 6 5 5 6 7 7 6 5 5 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 6 6 6 7 7 7 7 6 6 6 5 4 3 4 4 5 6 6 5 4 3 2 2 3 3 3 3 3 4 5 6 8 12 16 16 13 10 9 9 8 8 8 7 7 6 6 6 6 6 5 5 5 4 4 4 5 5 6 5 5 6 7 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 5 3 3 4 4 5 5 5 5 4 4 4 4 4 4 5 5 6 7 7 6 5 5 4 4 5 5 6 7 8 7 7 8 8 3 0 1 3 5 10 16 16 19 16 -6 -19 -16 -8 -4 -1 2 5 7 7 6 5 5 5 6 10 13 15 14 11 11 13 13 12 10 7 4 2 4 4 5 6 6 5 6 7 3 -2 -2 1 2 2 2 3 4 6 6 4 2 -1 -4 -9 -12 -11 -8 -4 -0 1 1 2 5 9 11 9 7 11 18 22 16 8 7 12 15 13 11 9 7 6 4 3 8 10 6 5 7 3 0 8 11 7 8 15 19 18 16 15 12 11 9 9 10 11 10 8 7 8 7 7 6 6 6 6 5 7 8 7 6 7 9 9 9 9 8 7 7 6 5 4 4 4 5 5 5 4 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 5 6 6 7 6 5 3 2 2 4 5 4 4 5 6 6 5 3 3 2 2 2 3 5 6 7 6 6 6 7 7 7 7 7 7 7 7 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 9 10 10 9 8 8 7 7 7 6 5 3 3 5 6 6 5 5 4 3 3 3 3 4 7 10 8 6 7 5 4 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 6 6 5 6 6 6 6 6 7 7 7 7 7 7 8 7 5 4 7 9 9 7 8 9 9 8 8 8 7 6 5 6 6 8 9 10 11 11 10 9 8 7 7 7 6 6 4 3 3 3 4 5 6 5 5 5 5 6 7 8 8 6 5 5 6 7 10 13 12 8 6 7 6 5 5 7 8 7 6 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 6 6 7 8 9 9 10 10 9 8 6 3 3 3 4 5 7 7 6 4 3 1 2 2 2 2 1 1 2 3 4 8 11 10 7 6 7 7 8 9 9 9 8 7 7 7 7 6 6 5 5 4 4 4 5 5 6 6 6 6 7 6 5 5 5 5 5 5 6 6 7 8 8 8 8 8 7 5 4 4 4 5 5 5 4 4 5 6 6 6 6 6 6 6 7 8 7 6 5 5 4 4 5 9 12 10 7 6 6 4 2 1 1 4 6 8 8 6 3 -6 -23 -26 -14 -6 -2 1 5 7 8 7 5 5 5 7 11 15 16 14 11 10 11 12 13 12 10 8 7 4 4 3 2 1 0 1 3 4 5 4 3 4 4 3 3 5 7 10 8 4 2 0 -2 -5 -7 -6 -4 -2 -0 0 2 3 4 8 7 4 2 7 13 15 12 8 10 16 18 16 12 9 8 8 4 -0 2 5 6 6 5 4 6 10 9 6 11 23 24 19 16 13 12 10 9 9 10 10 9 8 7 7 7 6 6 6 6 6 6 6 7 6 6 8 9 10 10 9 7 6 6 6 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 4 5 5 4 4 4 3 3 4 5 6 7 7 6 4 3 2 3 4 4 4 4 5 5 5 4 3 2 2 2 4 4 5 6 6 5 5 6 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 9 9 9 8 7 6 6 8 9 10 9 8 7 6 6 6 5 5 4 2 2 4 6 6 5 5 5 4 4 4 3 3 5 6 6 6 6 5 4 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 7 5 5 8 9 8 7 8 9 9 10 10 9 8 6 6 6 7 7 8 9 11 12 12 10 8 7 6 7 9 9 7 5 3 2 2 4 5 5 5 5 5 6 6 7 7 6 4 3 4 5 7 9 11 11 10 9 8 6 5 5 7 7 6 6 7 9 9 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 7 7 8 10 11 12 13 13 11 9 6 3 2 3 4 6 7 7 6 5 3 3 2 3 3 1 1 1 1 2 4 6 6 5 5 5 6 6 7 8 8 8 9 9 8 8 7 6 6 5 5 4 4 4 5 6 6 6 6 7 7 6 5 5 4 4 4 5 5 6 7 8 9 8 8 8 8 7 6 5 5 5 5 5 5 5 7 8 8 7 7 7 7 7 8 8 7 7 5 5 5 8 14 16 10 5 4 3 3 3 4 5 7 11 9 3 -3 -14 -28 -31 -20 -7 -3 -0 4 7 9 8 6 5 5 6 10 15 16 13 10 8 10 12 12 12 11 8 6 8 9 7 5 3 1 1 1 0 2 5 7 6 5 6 6 4 5 8 10 9 5 3 2 2 1 1 -0 -0 -0 -0 1 2 3 4 6 5 1 1 6 7 8 10 13 16 19 18 10 5 8 14 12 3 0 0 1 5 8 8 9 10 10 9 9 14 20 19 15 14 12 10 9 9 9 10 9 8 7 7 7 6 6 6 6 7 6 6 6 6 5 5 7 9 10 10 8 6 6 6 6 5 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 3 3 4 5 7 7 7 5 4 3 3 4 4 4 4 4 4 5 5 4 3 2 2 2 4 5 5 6 6 6 6 6 5 5 5 6 6 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 8 7 6 6 9 10 11 9 7 6 5 5 5 5 6 7 5 5 5 7 6 5 5 5 5 5 4 3 2 3 4 5 6 5 3 4 5 5 6 6 6 6 5 6 6 7 7 8 7 7 6 6 6 7 7 6 6 6 6 7 6 6 7 7 8 8 8 7 5 6 8 7 7 7 8 8 9 10 10 9 8 7 7 7 8 8 8 9 11 11 12 12 10 8 6 6 8 9 9 7 5 3 2 3 4 4 5 5 5 5 5 6 7 5 4 3 3 4 4 5 8 10 11 11 10 8 6 4 4 5 5 6 8 10 11 10 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 11 11 10 9 9 11 13 13 14 14 13 11 8 5 3 3 3 4 6 7 7 6 5 4 3 4 4 3 3 3 2 2 3 5 6 5 5 5 5 5 4 4 5 7 9 9 9 9 7 6 6 5 4 4 4 4 4 5 5 5 5 6 7 7 7 6 5 4 4 4 4 4 6 8 8 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 6 7 8 7 8 8 8 8 7 6 7 12 14 12 7 4 3 3 5 5 4 7 16 22 16 6 -3 -12 -24 -23 -11 -5 -2 2 7 10 9 7 5 5 6 10 14 16 12 9 7 9 11 12 12 11 9 6 5 9 12 9 9 8 6 5 3 1 2 6 7 7 6 7 7 4 3 6 8 8 6 5 5 5 5 4 3 2 1 1 2 3 3 4 5 6 2 3 7 5 6 13 17 21 21 17 8 1 6 11 9 3 3 1 0 4 7 7 8 11 11 11 12 14 14 13 12 12 11 9 9 9 9 9 8 8 7 6 7 7 6 6 7 7 5 4 5 6 4 4 6 9 10 9 7 6 7 7 6 5 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 5 6 7 7 7 5 3 3 4 4 5 5 5 5 5 5 4 4 4 3 2 2 4 5 4 6 6 5 6 5 5 5 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 7 6 5 7 10 11 11 9 6 5 5 5 5 6 8 9 8 6 6 6 5 5 5 5 5 5 4 3 3 3 4 5 5 4 3 3 5 5 6 6 6 6 6 6 7 7 7 7 8 7 7 6 6 7 6 6 6 6 7 6 6 6 7 7 8 8 8 6 6 6 7 6 6 6 7 8 9 9 9 8 7 7 7 8 9 9 9 10 10 11 12 14 14 11 9 6 6 7 8 8 7 7 5 3 4 4 5 4 5 4 5 5 6 5 3 3 3 3 3 4 5 6 8 9 10 10 8 6 4 3 3 4 7 10 12 12 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 14 15 13 13 14 13 14 16 17 16 15 14 12 10 7 5 4 4 4 5 6 7 7 6 5 4 4 4 4 5 5 5 5 4 5 6 5 5 5 5 4 3 1 2 4 7 9 9 7 6 6 6 5 5 4 3 4 4 4 4 4 4 5 6 7 8 7 6 5 4 4 4 4 5 6 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 7 5 5 6 6 7 8 8 9 9 8 8 10 13 14 10 5 4 4 5 6 7 5 3 12 25 33 26 11 3 -1 -8 -11 -7 -3 1 6 10 10 8 6 5 5 8 13 15 13 10 9 9 12 13 11 10 10 7 5 6 9 10 8 10 11 9 7 4 2 3 6 6 6 8 8 7 4 1 3 4 6 6 4 5 5 5 4 4 3 3 3 4 3 2 4 5 6 5 7 8 7 11 16 19 21 21 18 11 7 8 6 4 5 6 2 0 3 5 6 8 11 13 13 13 13 12 12 11 10 10 9 8 8 9 9 8 7 6 6 7 7 6 6 7 6 5 4 5 6 4 3 6 9 9 8 7 6 6 7 6 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 5 5 6 7 6 4 3 4 4 5 5 6 6 6 6 5 5 5 4 3 2 3 4 4 5 5 6 6 5 5 5 5 5 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 7 7 8 9 9 9 9 9 8 6 5 5 8 11 12 11 8 6 5 4 4 5 7 10 11 8 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 4 3 3 4 4 5 5 5 6 6 6 6 7 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 6 7 7 5 6 7 7 8 9 8 7 7 7 7 8 9 9 10 11 11 10 11 13 15 17 16 14 10 6 5 5 6 7 8 8 7 7 7 7 6 5 4 4 4 5 5 4 3 2 3 3 3 4 4 5 6 8 9 8 6 4 3 3 3 5 8 12 14 11 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 12 13 13 14 14 15 15 17 17 16 15 14 13 11 9 8 7 6 6 6 6 6 5 5 5 5 4 3 5 6 6 6 7 6 6 6 5 5 4 4 4 3 2 1 2 5 7 7 7 5 4 5 5 5 4 4 4 4 3 3 4 4 4 5 7 8 9 9 8 6 5 4 4 4 5 5 6 6 6 7 8 7 6 6 6 6 7 8 8 7 5 4 4 5 6 7 8 8 9 8 8 10 13 13 10 5 3 5 5 6 7 6 2 1 17 25 26 22 9 0 -4 -8 -9 -5 -0 6 10 11 8 6 4 5 7 10 13 13 12 12 12 11 11 11 10 9 8 6 5 7 9 8 4 8 10 7 7 4 3 4 4 6 6 7 7 7 5 2 2 3 5 5 3 4 4 4 4 5 5 5 5 4 2 1 3 5 7 10 10 6 8 12 15 18 19 19 17 11 8 12 10 2 5 7 4 3 4 3 4 8 12 13 14 14 14 12 11 10 10 10 9 8 8 9 9 8 6 7 7 7 6 6 6 6 6 5 5 6 6 4 4 6 8 8 8 8 7 7 7 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 5 4 5 5 5 6 6 5 4 4 5 5 5 5 6 6 6 6 6 6 5 4 3 4 4 4 5 6 5 5 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 7 7 8 9 9 9 8 8 8 5 3 4 8 11 13 11 8 6 4 3 3 4 6 10 12 9 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 4 3 3 4 4 5 5 5 6 6 6 7 7 7 7 8 8 8 7 7 6 6 7 7 6 6 6 6 7 7 7 8 9 8 7 6 8 9 6 5 6 7 8 7 7 7 6 6 7 7 9 10 10 11 12 11 10 10 12 15 17 19 18 17 12 7 5 6 6 8 9 10 12 13 11 8 6 5 5 4 5 5 4 4 4 3 3 3 3 4 4 5 6 7 7 6 5 4 3 3 3 5 10 13 12 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 10 11 11 11 12 13 13 13 13 13 13 12 12 11 11 10 9 7 7 7 6 5 5 4 3 3 4 5 5 6 6 7 7 6 6 5 5 5 6 6 5 3 3 5 7 6 5 5 4 4 5 5 5 5 4 3 3 3 3 4 4 4 5 7 9 11 11 9 7 5 5 5 4 5 5 5 5 6 7 6 6 5 5 5 6 7 8 7 5 3 4 5 6 7 8 8 8 8 10 12 11 7 4 3 4 5 7 6 5 4 1 3 12 11 4 4 -3 -9 -13 -13 -7 1 6 10 12 9 5 4 7 9 11 11 12 12 14 16 15 11 9 9 9 9 7 4 5 7 9 7 3 4 4 4 7 7 4 3 3 5 7 7 7 9 7 4 3 5 6 5 5 5 4 5 5 5 6 5 4 3 1 1 3 5 7 10 7 3 5 8 12 17 18 16 11 5 2 7 10 6 4 5 4 5 4 2 3 8 11 12 12 13 13 12 10 10 10 10 10 9 9 9 9 8 7 7 7 7 6 6 6 6 5 6 6 5 4 5 7 7 5 6 8 8 7 7 6 5 4 4 5 5 6 6 5 5 5 5 5 5 5 6 5 5 3 3 3 4 5 5 5 4 3 4 6 7 6 5 5 5 6 6 6 6 6 6 7 7 7 6 5 4 4 5 5 5 5 6 6 5 5 6 6 5 6 6 6 6 6 6 6 5 5 5 6 5 5 6 6 6 6 7 7 7 6 6 6 7 7 7 8 8 9 9 8 8 7 5 3 4 7 10 12 11 8 6 4 2 2 3 5 6 9 9 6 5 5 5 6 5 5 5 4 5 5 5 5 5 5 4 2 2 3 5 5 5 5 5 6 7 8 8 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 7 6 7 9 8 6 6 7 8 8 6 6 5 6 6 7 8 10 10 11 11 12 12 10 10 10 13 14 16 19 20 18 14 10 9 8 8 8 10 13 15 12 10 8 6 6 5 5 5 4 5 5 4 4 3 3 3 3 4 5 6 7 7 6 5 3 3 3 4 7 10 12 10 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 8 8 8 8 8 9 9 10 10 10 12 13 14 14 14 14 13 12 11 10 9 9 8 7 6 5 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 5 4 5 4 5 5 5 5 5 4 3 3 3 4 4 4 4 5 6 8 11 11 10 8 7 6 5 5 6 7 7 7 5 4 4 4 5 4 4 5 6 7 7 4 4 4 5 7 8 8 8 8 9 11 10 7 4 3 2 4 8 7 6 4 3 3 4 4 3 -1 -6 -9 -10 -8 -4 2 7 11 12 9 6 5 7 13 17 15 12 11 12 15 16 14 10 8 9 8 7 7 5 4 7 8 7 6 4 3 4 7 8 6 4 4 4 8 8 6 6 7 6 5 7 7 7 8 6 5 6 6 6 5 4 3 2 2 3 5 5 5 5 5 5 4 3 10 17 17 13 7 1 -1 2 8 10 7 3 3 4 5 4 5 8 9 9 9 10 10 10 9 10 11 11 10 9 9 9 8 8 7 7 7 7 7 6 6 5 5 5 5 3 4 10 12 7 2 3 7 8 7 6 5 5 4 4 5 7 7 6 6 6 6 5 6 6 6 6 6 4 3 3 4 5 5 5 5 4 2 2 5 7 6 6 6 7 7 6 6 6 6 6 6 8 7 7 5 5 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 8 8 7 6 6 6 6 7 8 8 8 8 8 7 8 7 4 3 3 6 8 11 11 9 6 4 3 3 5 6 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 4 5 5 5 6 5 5 6 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 8 9 9 8 6 6 9 10 7 5 7 9 9 8 6 5 5 6 6 6 8 9 10 11 11 11 11 10 10 10 11 12 13 15 17 18 17 14 12 10 9 9 9 10 12 11 9 8 8 8 7 6 5 5 5 5 5 4 4 4 3 4 4 4 4 6 7 6 5 4 3 2 3 4 7 11 12 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 7 7 8 8 8 9 9 10 10 12 13 14 15 15 15 15 14 13 12 11 11 11 10 9 7 6 5 4 4 3 4 5 6 8 9 9 8 6 6 6 9 9 8 5 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 4 5 5 5 7 8 9 9 8 6 6 5 5 6 8 10 9 5 2 2 2 3 4 4 4 5 6 6 5 5 5 6 6 7 7 9 12 12 11 8 6 5 5 5 8 9 7 6 4 5 5 5 4 7 8 7 5 4 4 5 9 12 12 9 5 4 7 14 20 21 16 12 11 13 13 12 9 7 8 8 9 7 6 6 4 5 7 7 9 10 7 5 4 5 7 7 6 6 7 6 2 1 5 6 5 6 7 7 8 7 7 8 8 7 5 3 2 2 3 6 7 5 4 4 7 8 4 1 9 16 15 12 9 7 6 6 9 12 10 4 4 5 7 8 8 7 7 6 6 8 9 9 9 11 12 12 9 8 8 9 8 8 8 7 7 7 6 6 6 5 5 5 4 4 6 10 10 7 3 3 5 6 6 5 4 4 4 5 6 7 7 7 7 6 6 5 6 7 7 6 6 4 3 3 5 6 6 6 5 3 1 2 5 6 6 6 7 8 7 6 6 6 5 6 6 7 8 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 6 7 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 7 5 3 3 4 7 9 10 8 7 5 4 5 7 9 8 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 9 9 7 6 8 11 9 6 6 8 9 9 7 5 5 6 6 6 6 7 8 9 10 10 10 9 8 8 9 10 11 11 12 13 14 14 14 13 11 10 10 11 11 11 10 8 7 8 8 9 8 7 6 5 6 5 5 5 4 4 4 4 3 3 4 5 6 5 4 3 3 2 3 4 8 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 7 8 8 7 7 7 7 8 8 8 9 10 12 14 15 16 16 14 13 11 11 12 12 12 11 10 8 7 7 6 5 4 4 4 6 8 9 8 6 5 5 7 8 7 4 2 3 4 5 6 6 6 5 5 3 3 3 3 4 4 5 5 5 5 6 6 7 8 7 6 5 4 4 6 9 10 10 6 3 2 2 3 3 3 5 6 7 7 6 6 7 7 6 5 5 10 15 14 10 7 5 6 8 8 9 8 6 5 5 7 9 9 7 8 12 15 18 15 11 10 12 12 8 4 3 4 9 16 19 17 13 10 10 13 13 9 7 7 8 9 9 7 6 7 5 4 5 6 9 10 9 6 3 4 7 8 7 6 6 5 2 1 5 6 5 4 5 6 7 8 9 9 8 7 4 2 2 3 6 8 8 6 5 6 9 8 4 3 9 14 11 9 10 13 14 13 13 13 9 6 4 4 7 7 7 6 6 6 7 9 9 9 10 11 12 11 10 8 8 8 9 8 8 7 7 7 6 6 6 5 5 4 4 5 6 7 8 8 6 5 4 4 5 4 3 3 4 5 6 7 8 7 6 6 5 6 7 7 7 7 6 4 4 5 6 6 7 6 5 3 1 2 4 6 5 5 7 8 8 7 6 6 6 6 6 6 7 6 6 5 5 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 6 7 7 7 6 6 5 6 6 6 7 7 7 6 6 6 7 7 6 5 3 3 4 5 7 8 8 7 6 5 6 9 11 9 6 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 4 5 7 7 5 5 6 6 6 6 6 7 8 8 8 8 8 9 9 8 8 7 7 7 6 6 6 6 7 8 9 9 8 6 7 10 11 8 6 7 8 9 8 6 5 5 6 6 6 5 6 7 7 8 9 9 8 7 7 8 8 9 10 11 12 12 12 12 11 11 10 11 14 15 15 13 9 6 5 6 9 10 11 8 6 6 6 6 5 5 5 4 4 4 3 3 3 4 5 5 4 3 3 2 3 5 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 10 10 9 7 6 6 6 7 7 6 6 7 9 11 13 14 13 12 10 9 9 9 10 11 11 10 10 9 9 9 8 6 4 4 4 6 9 10 7 5 5 5 5 5 4 3 3 4 5 6 7 7 6 4 3 2 3 3 4 4 5 5 6 6 6 6 6 6 6 5 5 5 6 7 8 9 10 8 6 5 5 5 5 5 6 7 7 7 6 7 7 8 6 3 4 7 8 7 8 6 5 6 7 7 8 9 7 6 8 12 14 13 10 6 8 14 17 16 13 12 12 7 3 2 3 6 10 13 12 11 11 10 10 12 12 11 10 8 8 9 9 8 7 7 6 4 3 4 5 5 6 6 4 4 4 5 6 4 4 5 4 3 4 5 4 3 3 5 7 9 9 10 10 7 4 2 3 5 7 9 8 6 5 6 8 9 8 7 8 11 9 4 5 11 15 16 16 13 9 6 3 3 5 6 6 6 6 8 10 11 10 10 10 11 12 11 9 9 9 8 9 9 8 8 8 7 7 6 6 6 5 3 4 6 6 6 7 7 6 8 8 5 4 3 2 2 4 6 6 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 5 3 1 2 5 5 4 4 6 8 9 9 7 6 6 6 6 6 6 6 6 6 5 5 6 7 7 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 6 7 8 7 6 6 6 5 5 6 6 6 6 6 6 5 5 6 6 5 4 3 3 3 4 5 6 7 7 6 6 6 9 11 9 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 7 6 5 4 5 6 6 6 6 7 8 8 8 9 9 9 9 8 8 7 8 7 7 6 6 7 7 8 9 9 7 6 8 11 11 7 6 7 8 8 6 5 5 6 6 6 5 5 5 5 6 6 7 8 8 7 6 6 6 7 8 9 10 12 12 12 10 10 10 11 15 18 18 16 11 6 4 5 8 11 12 11 9 8 7 7 6 6 5 5 5 4 4 3 3 3 4 4 5 4 4 4 3 3 5 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 9 11 12 11 9 8 7 7 7 7 6 6 6 7 8 9 9 9 9 9 8 7 7 8 9 10 10 10 10 11 12 11 10 7 5 4 5 8 10 9 8 6 5 5 5 4 3 3 5 6 6 7 6 5 4 3 3 2 3 3 3 4 5 6 6 6 6 6 6 5 5 6 7 8 8 8 8 10 10 10 9 9 8 8 8 8 7 7 6 6 6 7 8 6 4 4 3 3 6 10 7 5 5 5 7 9 10 9 7 12 18 20 15 11 10 13 17 18 17 14 12 7 1 0 2 5 7 9 10 10 12 13 11 10 12 12 13 13 10 8 8 8 7 7 8 8 4 2 2 1 1 4 6 6 5 4 3 3 3 4 4 5 4 3 3 5 5 4 4 6 9 10 12 13 9 5 3 5 6 7 7 5 3 3 4 6 9 10 9 8 9 7 1 3 9 12 15 16 15 13 11 8 6 7 6 6 6 7 9 11 11 11 11 11 12 12 11 10 9 9 9 8 8 8 8 7 7 7 7 6 5 4 4 5 6 6 6 6 5 6 9 9 6 5 4 2 1 3 5 6 6 7 7 7 6 6 6 6 6 6 7 6 7 7 6 6 7 7 7 6 3 1 3 5 4 3 4 7 8 9 9 8 7 8 7 6 6 6 5 6 6 5 5 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 8 7 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 3 3 3 3 4 5 6 7 7 6 7 8 10 10 7 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 4 5 6 5 4 5 5 5 6 6 7 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 8 6 7 8 10 8 6 5 6 6 6 5 4 4 5 6 6 5 5 4 4 4 5 6 7 7 7 7 6 6 6 6 7 7 9 11 11 11 10 10 11 14 17 18 17 12 7 4 5 7 9 11 12 11 10 9 9 9 7 6 6 6 5 4 4 3 3 3 4 4 5 5 4 4 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 9 11 12 10 9 8 8 8 7 7 7 7 6 7 7 7 7 8 8 8 7 7 7 10 11 11 10 10 11 12 13 13 11 7 6 5 7 9 10 9 8 6 6 6 5 5 4 5 6 5 5 5 3 3 3 2 2 2 3 3 3 4 6 6 6 6 5 5 4 5 8 11 10 7 6 7 8 10 11 10 10 10 10 9 8 7 5 5 5 5 6 7 6 5 5 5 8 12 13 9 6 5 4 5 7 9 9 8 12 19 21 15 11 16 22 22 18 14 10 5 -0 -2 1 5 7 8 8 8 12 14 13 10 11 13 12 13 13 11 8 8 7 5 7 9 8 5 4 3 1 1 3 6 6 6 6 4 3 2 2 4 6 5 4 5 8 7 6 5 6 10 14 17 16 11 6 6 7 7 6 5 2 1 1 2 4 7 9 9 8 9 6 1 5 9 9 10 13 16 17 17 15 11 7 5 6 7 9 10 11 11 10 11 12 12 11 11 10 10 9 9 9 8 8 8 7 7 7 7 6 5 5 4 4 5 6 6 5 4 7 9 7 5 7 8 4 1 2 4 5 6 6 7 7 7 6 6 6 6 6 6 6 7 7 6 7 7 9 8 6 3 2 4 5 4 2 4 8 9 9 8 8 8 9 8 6 6 6 5 5 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 7 8 8 8 7 6 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 3 3 2 3 5 6 6 7 6 5 7 10 10 8 5 4 4 4 4 5 5 5 5 5 5 6 5 4 1 1 4 6 5 4 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 9 8 6 6 8 8 6 4 5 5 5 5 4 4 4 5 5 5 6 6 5 4 5 4 4 5 6 6 6 6 6 6 6 6 7 8 9 10 10 10 10 11 13 15 16 15 12 8 6 6 8 9 9 10 10 10 10 10 10 10 9 9 8 8 6 5 4 3 3 3 4 4 5 5 5 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 6 9 10 10 10 9 8 8 7 8 8 8 8 8 7 7 7 7 7 8 7 7 8 10 13 13 12 10 10 11 12 12 11 9 7 6 7 7 9 9 8 8 7 7 7 7 6 5 5 4 4 3 3 2 2 2 3 3 3 3 4 5 7 8 8 7 5 4 4 6 10 12 9 6 4 4 5 7 9 9 10 10 9 8 6 5 4 4 5 5 6 6 5 6 6 7 10 13 13 11 9 6 4 2 4 6 6 7 11 16 14 11 10 15 18 13 7 3 0 -2 -3 -1 3 7 8 7 6 8 11 12 9 8 11 14 13 13 14 11 8 7 6 4 5 7 7 6 6 5 4 3 3 4 5 5 6 6 5 4 3 4 5 4 3 6 9 9 8 7 7 10 15 18 14 8 6 8 8 7 6 4 2 0 1 2 3 5 6 6 6 9 9 7 9 10 6 5 10 15 18 17 13 8 6 6 8 9 10 10 10 10 10 11 12 11 11 11 10 10 10 8 8 8 8 7 8 8 7 6 6 7 7 4 3 5 6 5 3 3 6 8 7 5 8 9 6 3 2 3 4 5 6 7 7 7 6 6 6 6 6 5 6 6 7 7 7 9 9 8 6 4 3 5 6 4 3 5 8 9 8 7 8 9 10 8 6 5 5 5 5 6 5 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 6 7 8 9 9 7 6 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 5 5 4 4 3 3 3 4 5 7 7 6 6 7 9 9 7 5 4 4 5 5 5 6 5 5 4 5 6 6 5 -0 -2 3 6 6 5 5 5 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 7 5 6 8 8 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 4 5 5 5 6 6 6 6 7 7 7 8 9 10 10 11 11 12 14 14 14 12 10 9 9 9 10 11 10 10 9 9 9 9 10 11 11 12 12 11 9 7 5 4 4 4 4 4 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 4 6 9 10 10 10 8 7 7 7 7 8 9 9 8 8 8 8 8 7 7 7 9 11 13 15 13 10 10 10 10 10 10 10 9 8 8 7 8 8 8 8 8 7 7 8 8 6 5 4 3 3 3 2 2 2 3 4 4 4 5 7 9 12 13 11 8 5 5 8 12 11 7 4 3 3 5 6 8 8 8 7 7 6 5 4 4 5 5 6 6 5 6 7 8 10 11 13 13 12 11 10 5 1 2 3 4 4 9 13 12 11 11 6 -0 -6 -8 -6 -3 -2 -1 1 5 7 7 6 6 7 8 8 6 7 10 13 13 14 14 11 8 8 7 4 4 6 6 7 6 5 6 5 4 4 4 4 5 7 7 6 5 4 4 4 4 7 9 9 8 8 9 9 11 11 7 4 6 9 9 8 7 5 2 0 0 1 3 5 5 4 5 8 11 12 12 10 4 4 9 14 17 15 10 7 8 11 12 11 10 10 10 10 10 11 11 11 10 10 10 10 10 8 8 8 7 7 7 7 7 6 5 7 7 5 3 4 5 5 3 3 6 8 7 7 7 7 5 2 2 2 3 5 6 6 7 7 7 7 6 5 5 5 5 5 7 8 9 9 9 7 5 3 4 7 7 5 3 5 8 8 7 7 8 10 11 8 5 5 6 6 6 5 5 6 7 7 7 7 6 6 7 7 7 6 6 6 5 5 5 4 4 5 6 6 7 8 9 9 8 7 6 5 5 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 5 4 3 3 3 4 5 6 7 8 7 7 7 7 7 5 4 4 5 5 5 5 5 5 5 6 7 7 4 0 -0 4 6 6 5 5 6 6 6 6 7 7 8 9 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 8 6 5 7 9 8 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 5 4 4 4 4 5 6 6 6 6 7 7 7 8 8 9 10 10 11 12 13 15 15 14 12 12 12 11 12 13 13 12 12 11 11 9 9 11 12 12 13 13 13 11 10 8 7 5 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 10 6 6 9 7 2 7 12 17 17 14 13 15 14 12 5 7 16 14 12 11 12 10 14 21 18 11 8 9 14 20 19 11 2 2 9 18 19 14 7 5 7 9 11 15 18 17 16 15 14 16 16 15 14 14 15 16 16 16 16 15 14 13 12 10 10 12 14 15 12 9 7 6 6 5 6 8 10 12 13 12 10 9 10 11 13 13 12 13 13 12 12 12 12 13 12 12 12 11 10 10 11 12 13 13 14 14 14 13 12 12 13 13 13 12 12 13 13 13 13 13 13 13 12 12 13 12 11 12 11 11 11 12 12 12 12 13 14 14 14 14 15 14 13 11 4 2 8 15 16 9 -2 9 27 27 19 15 13 12 13 14 14 13 13 13 14 13 14 14 13 14 13 13 13 13 13 13 12 12 12 13 14 14 13 12 12 13 12 13 13 12 12 13 14 15 16 16 15 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 15 14 14 14 14 14 14 15 15 15 15 15 16 16 16 15 14 14 13 13 13 13 14 15 15 14 14 13 13 14 13 13 12 13 15 18 18 16 15 14 13 14 14 15 15 14 14 14 14 14 14 15 16 16 16 16 17 17 16 16 15 15 14 13 14 15 15 14 13 12 11 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 11 11 12 12 11 11 12 12 13 15 16 16 17 17 16 14 14 12 11 11 10 10 9 10 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 12 12 12 12 13 12 12 12 12 12 12 13 13 13 13 13 14 13 14 15 16 17 17 17 16 15 14 14 14 14 14 13 13 13 13 14 14 13 14 14 14 15 13 11 11 10 9 7 7 8 8 8 8 8 8 10 11 11 12 9 6 0 -3 -3 1 8 13 13 12 12 11 10 11 12 12 12 13 13 14 14 14 13 13 13 13 12 11 13 15 16 16 14 13 12 13 13 12 12 13 14 15 15 15 16 17 16 16 16 16 15 15 16 16 16 15 14 14 13 12 12 12 13 13 13 13 13 14 15 16 16 16 15 14 13 13 14 nan
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nan nan nan nan nan nan nan 15 18 14 12 9 10 12 14 13 8 6 10 14 16 18 15 10 6 8 12 16 16 13 12 13 12 8 7 7 9 10 11 11 11 12 13 13 14 15 14 14 14 14 14 15 15 14 13 13 15 16 17 16 13 12 11 12 13 14 16 17 16 13 11 10 9 7 7 7 7 8 9 9 9 9 9 10 10 11 11 11 10 10 12 13 13 13 13 13 12 11 10 10 10 11 12 13 14 14 13 13 12 12 12 12 12 12 12 12 13 13 13 12 11 11 11 12 11 11 12 12 13 13 12 11 10 10 11 12 13 13 13 13 13 13 13 14 13 12 11 11 13 15 15 11 9 7 11 16 18 16 14 12 13 14 13 14 14 14 14 14 14 14 13 14 13 13 13 13 13 12 12 12 12 13 13 12 12 12 11 12 14 14 13 12 12 13 14 15 17 17 16 14 13 13 13 13 12 12 12 12 13 14 13 11 10 9 11 20 22 17 16 15 15 14 13 14 14 14 15 14 14 15 16 16 15 14 14 13 14 15 17 17 16 15 16 17 17 16 14 10 9 11 15 14 14 14 15 16 19 20 20 18 16 15 15 15 15 15 15 15 15 15 15 15 15 15 14 15 15 15 15 14 14 14 13 12 12 11 11 11 12 12 11 11 12 12 11 11 11 12 12 11 10 10 10 10 10 10 9 9 10 11 11 12 13 13 13 12 11 10 9 9 9 9 10 9 10 10 10 9 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 11 12 13 13 12 12 13 12 12 13 13 13 13 13 14 14 13 13 15 16 16 14 13 13 15 15 16 16 15 13 12 12 12 12 13 13 14 14 14 15 15 15 14 14 11 10 11 11 11 13 14 11 10 10 11 10 11 12 11 11 12 17 22 25 24 20 17 15 13 11 11 11 10 10 11 13 13 12 13 14 14 13 13 13 12 12 13 15 16 17 15 14 13 13 14 14 14 14 14 15 16 18 20 20 18 15 14 14 14 15 15 14 14 13 13 13 12 13 14 13 13 13 12 13 14 15 16 16 16 15 15 14 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 9 7 7 11 15 16 15 14 13 13 9 11 16 13 9 9 12 12 9 9 7 8 10 13 15 16 11 7 9 12 13 14 13 14 14 13 14 14 14 13 12 12 12 12 11 9 7 8 9 10 12 13 15 15 13 12 11 10 8 6 6 7 8 9 9 9 10 10 11 11 12 10 9 9 9 11 13 13 13 13 12 11 9 9 9 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 12 12 11 11 12 13 13 13 13 13 13 12 12 10 12 17 17 16 13 13 13 13 12 9 10 15 17 15 12 12 13 14 14 14 14 14 14 13 13 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 12 14 14 13 12 9 7 10 16 25 27 20 15 13 13 12 12 12 12 11 13 13 14 13 12 10 9 9 14 16 15 16 16 16 16 14 14 14 15 14 13 13 12 14 16 16 15 13 12 12 12 14 16 16 14 14 16 16 17 19 18 16 13 15 15 15 14 14 13 16 20 22 21 18 16 15 14 14 14 15 15 14 14 15 16 16 16 16 16 16 16 16 16 15 15 15 14 13 12 11 11 11 11 12 12 11 10 10 9 10 12 12 12 12 11 10 9 10 10 10 11 11 12 12 13 14 14 12 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 11 11 10 11 12 12 12 13 12 12 13 12 13 13 13 13 14 14 14 14 14 14 15 15 14 13 13 15 15 13 11 9 7 7 9 12 13 14 14 14 14 15 15 15 15 15 15 14 13 12 13 15 17 17 14 12 11 11 11 10 10 11 12 13 16 19 21 20 16 14 13 13 13 12 12 13 11 11 12 13 13 14 14 14 13 13 12 12 12 12 13 15 16 16 15 14 13 15 14 14 14 14 13 14 16 19 21 20 16 13 13 14 14 15 15 15 14 14 13 13 11 13 14 14 14 13 13 13 14 15 16 16 16 15 15 14 13 13 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 11 12 10 8 13 16 16 11 10 11 15 15 10 8 7 10 13 16 15 10 8 10 12 14 14 15 15 15 15 15 15 15 15 14 12 11 10 9 8 8 8 8 9 9 10 11 12 12 11 9 8 7 6 7 9 10 10 10 12 13 12 12 12 12 10 7 7 8 11 12 13 13 12 11 10 9 9 9 10 11 12 13 12 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 13 13 14 13 13 13 13 13 13 13 11 8 10 15 17 16 14 13 13 14 13 11 11 14 16 14 12 12 12 13 14 15 14 14 14 14 13 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 11 11 12 13 13 13 13 12 9 4 1 6 21 32 32 27 19 14 12 12 12 12 11 12 12 14 14 13 13 12 11 11 12 13 14 15 16 15 15 15 15 15 14 14 14 13 13 15 16 15 14 12 10 11 12 15 16 15 15 14 14 13 19 23 19 16 16 16 16 15 13 6 3 8 13 18 19 18 17 16 15 15 15 15 15 16 16 16 17 17 17 16 16 16 16 15 15 15 14 14 13 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 11 12 13 13 15 15 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 13 12 13 13 12 13 13 13 13 13 14 14 14 14 14 13 14 14 14 14 15 15 12 9 6 5 6 9 12 13 14 14 14 14 15 15 16 16 15 15 15 14 13 13 15 16 15 13 12 13 13 12 12 11 11 12 12 12 12 13 13 12 12 12 13 13 13 13 14 13 12 12 12 13 13 14 14 14 14 13 12 11 11 13 14 16 17 16 15 13 13 14 14 14 14 14 13 15 17 19 21 19 14 12 13 14 14 14 15 15 15 13 13 13 13 13 14 13 13 13 14 14 15 16 16 16 15 14 14 13 13 14 14 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 17 13 12 16 15 12 6 8 10 13 14 12 9 11 13 14 15 15 15 16 17 17 17 17 18 17 16 13 11 11 11 10 9 8 7 7 7 7 8 9 10 10 9 8 8 9 10 12 12 11 12 13 14 14 13 12 11 9 7 7 8 9 11 12 12 13 13 10 9 9 10 10 11 11 12 12 12 12 12 11 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 12 13 14 14 14 14 13 13 14 14 14 14 14 12 11 11 14 14 14 13 13 14 14 14 14 14 14 13 12 13 12 12 13 14 15 14 14 14 13 13 13 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 12 8 2 -0 5 16 25 31 30 23 16 12 12 12 12 12 12 13 14 14 14 14 13 12 12 12 13 15 15 15 16 17 17 18 17 16 16 16 14 15 16 16 15 14 13 11 12 14 15 16 17 16 13 9 13 19 18 17 16 15 15 16 15 10 5 6 9 13 16 17 17 16 15 15 15 16 16 16 16 16 16 15 14 14 14 15 14 13 13 13 13 13 13 12 11 11 12 11 10 10 11 11 12 12 11 10 9 10 10 10 11 11 12 12 13 14 14 14 14 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 12 12 12 13 13 13 13 14 14 14 13 13 13 13 13 14 15 15 15 15 13 11 10 10 11 13 14 14 14 14 15 15 15 15 15 16 16 15 15 15 14 14 13 13 14 12 11 12 13 13 13 12 12 12 12 11 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 13 14 15 15 14 14 14 13 12 12 12 14 15 15 15 15 15 13 12 13 14 14 13 14 15 16 16 18 20 18 14 12 12 13 13 15 16 15 14 13 13 13 14 13 14 13 12 12 13 14 16 17 17 16 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 10 13 15 15 13 13 14 14 15 15 15 16 19 18 17 18 19 19 18 15 13 12 12 11 10 9 7 6 6 6 7 9 11 12 12 12 12 13 15 15 15 14 14 15 15 15 14 12 9 8 7 7 8 9 10 12 13 14 15 13 11 10 10 10 10 10 11 12 11 11 11 11 10 11 12 13 12 11 12 12 11 12 12 12 13 12 12 11 11 11 11 12 12 13 14 14 14 14 13 13 13 14 13 13 14 14 13 12 12 12 12 12 13 15 14 13 13 14 15 14 13 13 13 13 13 14 15 14 14 14 13 13 13 13 13 14 14 13 13 14 14 13 13 13 12 12 12 12 13 13 12 12 12 13 13 14 15 12 5 0 1 9 19 33 33 20 14 14 13 13 12 12 13 13 14 15 14 14 14 14 12 12 14 15 14 14 17 23 26 22 19 19 18 17 17 16 15 14 15 15 13 13 13 14 15 17 17 14 13 13 16 16 16 16 15 15 15 16 16 14 10 9 9 11 12 14 15 15 15 15 15 16 17 16 16 15 14 14 13 13 13 13 12 13 13 13 13 13 13 12 11 12 11 11 11 11 12 13 12 12 11 11 11 11 11 12 13 14 14 15 15 14 13 12 10 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 13 13 13 14 14 14 14 14 13 13 13 13 14 16 16 15 14 13 12 12 12 13 14 14 14 14 14 14 14 15 15 16 16 16 16 16 16 15 14 15 14 11 11 10 10 11 11 11 11 12 11 11 11 11 10 10 11 12 13 13 13 13 13 12 12 12 12 12 13 14 14 15 15 14 14 14 13 12 12 14 14 15 15 14 14 14 14 14 13 13 13 13 14 15 16 17 18 18 17 16 14 12 13 13 15 17 15 13 12 12 13 13 13 13 13 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 15 16 17 17 17 17 18 17 16 16 15 13 12 12 12 11 10 10 9 8 9 11 12 13 13 13 14 15 16 16 16 16 15 16 15 14 13 12 9 7 7 8 9 9 10 11 13 15 16 16 14 11 10 10 10 10 11 11 11 11 11 11 12 13 13 13 12 11 11 11 12 12 12 13 13 13 12 11 11 10 10 12 13 14 15 15 14 13 13 13 13 13 12 13 14 14 13 13 13 13 12 12 12 14 13 13 13 13 14 14 13 13 14 13 13 14 14 15 15 14 14 14 14 13 13 14 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 16 14 9 2 -1 4 25 37 28 21 16 14 14 13 13 13 14 14 14 15 16 16 15 14 14 15 14 11 7 7 18 30 29 23 24 21 18 18 17 15 14 13 14 14 14 14 14 15 16 15 14 15 15 14 14 14 14 13 13 13 14 14 12 11 9 8 9 9 11 14 15 14 14 14 15 16 16 16 16 15 14 13 14 14 14 14 13 13 13 12 12 13 12 12 12 12 11 11 12 12 13 14 14 14 14 14 15 15 16 16 16 16 15 14 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 11 12 12 12 13 12 12 12 12 13 14 13 14 14 14 13 13 13 13 14 16 15 12 10 10 12 13 13 14 14 15 15 14 15 15 15 16 16 17 17 17 17 17 16 15 15 15 14 14 13 10 9 10 10 10 10 11 11 11 10 10 10 11 11 12 12 13 12 12 12 11 11 12 13 13 14 14 14 14 14 13 13 13 13 13 14 14 14 14 14 13 14 14 15 14 13 13 14 14 13 14 15 16 16 17 17 16 14 12 13 14 15 15 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 6 6 6 6 6 7 7 8 9 8 7 7 6 7 8 10 12 15 18 22 25 26 28 30 31 30 31 32 33 33 32 31 28 24 23 22 24 25 26 22 17 16 18 18 15 13 13 14 16 17 18 19 20 20 18 19 19 20 21 22 23 23 22 23 22 18 13 14 13 12 12 10 10 11 12 11 8 6 5 5 6 6 6 5 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 7 10 14 19 21 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 16 19 16 9 7 7 6 5 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 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 1 11 32 35 33 42 58 71 82 88 85 84 87 90 87 84 84 87 100 111 108 94 102 118 110 91 73 62 60 70 86 82 63 71 89 105 107 102 100 97 91 91 97 112 133 149 162 162 149 136 131 130 131 118 105 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 nan nan nan nan nan nan nan 6 5 5 6 5 5 5 6 7 9 10 9 8 6 6 6 6 7 10 14 17 19 19 21 22 22 22 23 22 21 21 24 27 26 23 22 24 26 26 25 22 18 17 18 19 17 14 14 15 16 16 16 15 15 15 16 17 16 16 16 16 16 16 16 16 16 13 12 13 12 12 10 10 10 11 10 7 5 5 5 6 6 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 3 5 9 14 17 14 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 10 13 18 21 19 13 12 10 7 6 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 4 1 0 0 1 5 24 38 34 28 32 42 57 67 89 98 90 85 88 89 86 82 80 85 97 107 114 124 130 130 122 110 98 89 88 84 77 69 74 79 77 73 78 82 85 86 85 104 137 153 158 165 160 150 144 140 137 134 123 112 nan nan nan nan nan nan nan nan nan nan nan 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 5 5 5 5 5 5 6 8 10 10 9 7 6 5 5 5 7 10 14 15 15 15 16 18 18 19 18 17 17 20 24 24 20 19 21 24 26 26 26 23 22 22 21 19 16 15 15 15 15 15 15 14 14 14 13 12 11 9 8 9 9 10 11 11 11 11 11 11 10 10 10 10 8 6 5 5 5 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 8 12 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 10 12 16 18 21 21 19 19 16 9 6 7 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 5 12 18 11 2 2 9 13 22 23 19 17 16 27 42 53 76 101 103 92 86 86 85 81 76 72 77 88 102 115 122 127 129 126 121 114 110 106 106 107 102 94 83 78 82 85 87 88 93 129 162 166 163 162 157 151 147 142 137 129 120 112 109 nan nan nan nan nan nan nan nan nan nan 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 4 5 5 5 5 5 5 5 7 9 9 8 6 5 5 5 6 7 9 13 14 12 11 12 14 17 17 17 18 19 22 22 17 15 17 21 25 27 28 28 28 27 25 20 15 13 12 12 12 12 12 13 13 13 12 11 9 7 6 6 6 6 7 8 9 10 9 9 8 8 8 6 5 5 5 4 5 5 6 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 4 9 12 14 15 18 22 25 24 23 22 18 10 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 1 2 1 1 3 19 29 25 16 10 11 17 21 18 11 10 18 24 42 64 75 87 110 122 98 87 84 83 82 77 71 68 68 80 95 110 118 120 119 121 117 114 119 126 130 123 113 104 100 97 97 102 114 138 168 177 168 158 154 151 149 147 143 134 120 111 108 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 8 6 4 4 6 6 5 4 4 3 4 6 7 8 8 7 6 5 5 6 9 12 15 14 11 10 12 15 17 18 21 23 22 20 14 12 13 18 23 26 28 28 29 29 25 18 13 10 8 8 7 7 8 10 12 13 14 12 10 8 6 6 5 5 6 6 7 7 6 6 5 5 5 5 5 4 4 4 5 6 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 3 1 0 0 0 0 0 0 0 4 11 16 16 16 18 23 29 32 30 25 18 8 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 18 22 22 20 18 35 46 40 23 12 25 28 40 50 37 16 19 32 68 94 100 107 125 133 109 91 85 82 82 80 76 70 63 65 74 89 103 111 114 117 118 118 121 125 127 127 124 119 114 114 119 135 158 179 189 179 160 148 144 142 142 143 143 134 115 107 109 114 nan nan nan nan nan nan nan nan nan nan 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 6 6 5 4 5 6 5 4 3 2 2 3 4 7 9 9 7 5 4 5 8 12 16 17 16 14 14 16 18 21 24 25 23 19 13 10 12 15 18 21 23 24 24 24 19 14 9 6 5 5 4 4 4 6 7 9 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 2 4 3 2 2 1 0 0 0 0 0 2 7 13 16 14 16 20 28 36 37 30 20 10 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 16 21 29 39 44 51 65 67 54 38 33 46 56 69 96 87 61 41 50 90 113 109 113 126 134 124 106 94 86 82 80 79 79 73 68 67 72 83 96 106 113 117 119 121 121 124 128 129 127 124 128 144 169 190 191 182 171 157 147 142 135 131 135 143 135 116 114 120 124 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 nan nan nan nan 1 2 3 4 4 4 5 5 4 3 2 2 2 2 2 5 9 10 9 6 4 4 7 12 17 20 20 19 17 19 21 22 25 26 24 20 15 13 14 15 16 17 18 18 17 15 11 8 5 4 4 3 3 3 3 3 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 10 8 3 0 0 0 0 0 0 0 0 0 2 3 3 4 5 3 0 0 0 0 0 1 4 8 10 6 9 14 20 30 34 30 24 15 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 16 18 17 20 23 25 43 64 82 83 74 73 75 92 98 103 133 124 120 103 113 131 132 121 111 111 115 121 118 106 92 82 77 77 83 84 79 74 70 70 79 92 103 112 116 118 119 123 127 131 134 135 142 162 187 197 183 175 168 157 154 149 132 120 123 130 125 117 121 130 133 nan nan nan nan nan nan nan nan nan 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 2 2 2 4 5 4 3 2 2 2 2 3 3 4 7 8 8 7 6 4 5 9 14 19 21 21 20 21 22 22 22 22 21 18 13 12 13 15 15 15 13 12 10 8 5 4 2 1 2 2 2 1 1 1 1 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 4 10 10 4 0 0 0 0 0 0 0 0 0 1 3 2 3 4 3 0 0 0 0 0 0 2 4 6 5 2 4 10 17 22 23 23 19 8 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 21 25 26 29 31 33 34 41 56 75 89 92 95 101 115 123 137 145 144 148 144 148 149 144 134 116 102 98 106 117 118 106 91 80 76 80 84 86 85 81 76 74 79 89 102 112 117 119 121 124 131 140 144 152 172 194 193 178 172 164 157 156 149 132 116 112 114 114 114 121 129 134 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 2 2 2 3 4 4 4 3 3 3 3 4 4 4 5 6 7 8 7 6 4 5 9 13 16 17 18 20 21 20 16 15 15 13 10 9 12 13 13 11 8 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 3 2 2 2 2 1 2 2 2 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 2 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 4 0 0 0 0 0 0 0 0 0 1 2 2 3 4 3 0 0 0 0 0 0 0 2 3 3 2 0 1 4 8 11 12 13 9 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 32 47 48 43 41 42 45 52 62 75 89 97 98 104 117 125 131 140 150 157 158 158 157 155 149 136 118 102 99 111 125 122 109 97 84 80 83 86 89 89 88 81 75 78 91 106 117 119 119 120 128 140 145 151 170 191 192 180 172 163 154 150 148 139 129 123 120 119 119 119 119 122 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 4 3 2 1 2 3 4 6 6 5 4 5 6 6 5 5 5 6 7 7 6 4 4 5 8 10 11 13 15 16 16 14 13 13 12 10 8 9 10 10 9 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 2 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 3 4 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 4 1 0 0 0 0 2 5 6 5 3 3 3 4 5 5 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 2 2 4 5 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 5 24 64 75 62 45 44 46 56 68 73 80 91 99 104 110 120 129 133 139 147 155 156 154 158 159 158 155 146 130 112 114 128 128 117 113 102 90 87 88 90 92 94 89 79 74 84 101 114 118 118 118 124 135 141 147 167 189 192 179 169 159 148 143 144 148 153 154 150 142 134 122 114 113 116 nan nan nan nan nan nan nan 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 7 4 2 0 1 1 3 5 8 8 7 6 6 6 6 5 5 4 4 4 4 3 2 3 5 8 10 11 11 12 13 14 14 13 13 12 9 8 7 8 8 7 4 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 5 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 2 5 4 1 0 1 2 4 11 16 16 12 5 6 6 6 7 6 4 1 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 4 1 0 0 0 0 0 13 48 85 88 68 52 53 57 68 78 83 89 96 102 107 112 119 124 126 130 137 147 149 145 148 152 157 161 161 157 137 126 128 123 111 109 104 97 93 89 87 91 98 95 84 75 81 96 111 118 118 116 122 132 137 147 171 192 192 180 168 160 150 145 148 157 163 164 162 151 145 134 123 117 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 11 10 7 4 2 1 0 1 4 6 8 8 7 6 6 5 6 6 4 2 2 1 1 1 2 5 7 9 11 11 11 11 13 15 16 15 14 10 8 7 7 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 8 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 0 2 6 7 12 20 23 19 11 6 5 6 8 7 7 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 1 4 1 3 0 0 0 1 21 61 90 88 72 65 69 73 78 86 93 100 107 111 113 118 120 115 115 119 125 138 150 151 144 142 150 156 154 154 145 131 125 116 105 97 92 88 86 84 81 84 95 99 90 81 83 93 104 113 115 115 121 132 141 155 180 193 191 188 183 173 162 157 155 155 154 152 152 150 148 142 129 117 111 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 12 12 12 11 9 7 4 2 1 2 3 5 6 7 6 5 5 5 6 5 4 3 1 0 1 2 4 5 7 9 11 12 13 14 15 17 17 16 14 12 10 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 8 14 14 19 25 21 12 6 4 3 3 5 5 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 5 9 4 1 2 7 34 71 87 86 80 80 86 89 94 99 103 110 116 115 114 114 110 102 104 110 115 127 144 154 149 140 144 146 142 141 139 134 127 119 114 111 102 90 81 78 76 78 83 90 92 90 88 92 98 105 109 111 118 133 142 159 181 183 179 182 186 185 174 165 157 150 143 139 142 148 149 139 121 104 95 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 11 12 12 12 12 11 9 6 4 3 2 3 4 5 5 4 4 4 5 5 6 7 7 5 4 3 3 4 4 6 8 12 14 16 17 18 18 18 17 16 14 13 12 10 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 18 19 20 23 21 11 2 1 0 0 0 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 13 9 4 6 21 54 85 95 95 96 99 105 110 109 112 114 113 112 110 106 104 102 96 96 102 107 115 126 138 143 143 141 137 134 131 130 130 130 126 124 121 112 99 87 79 78 79 81 84 88 90 88 86 89 96 101 105 113 129 138 154 166 162 158 162 172 180 175 162 148 140 134 131 135 141 139 126 109 93 86 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 8 10 10 9 9 10 10 10 9 8 6 4 4 5 5 5 5 5 5 6 8 10 13 14 11 8 6 4 3 3 4 8 13 16 17 18 19 20 20 18 16 15 13 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 21 22 22 19 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 13 10 12 25 58 93 104 104 114 119 118 117 110 108 106 100 92 86 92 90 90 88 86 92 98 101 106 113 122 128 131 131 129 127 125 125 127 127 128 124 113 103 96 88 86 87 85 82 87 92 93 85 78 82 89 96 107 122 134 144 148 146 144 148 157 167 164 150 134 127 128 129 130 130 122 112 100 90 92 106 nan nan nan nan nan 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 4 5 5 4 4 5 7 8 10 11 10 8 7 8 8 7 6 6 6 7 8 11 14 16 15 13 11 9 7 4 2 3 5 8 12 15 17 18 20 20 18 15 14 12 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 9 18 20 17 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 21 23 24 31 55 94 110 113 131 137 124 118 107 97 90 76 67 62 70 74 76 76 75 78 83 84 83 85 91 99 107 114 120 124 125 124 124 125 126 126 120 112 107 100 95 95 91 84 87 95 103 95 79 73 78 86 98 113 127 135 138 139 140 144 151 158 154 138 114 102 113 132 131 121 107 98 92 88 100 117 nan nan nan nan nan 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 0 1 2 4 5 7 9 10 11 11 10 9 8 7 6 6 7 7 9 11 13 13 13 14 12 9 5 2 0 1 4 8 13 16 18 19 18 16 14 12 11 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 11 11 8 3 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 26 39 44 48 60 91 116 124 140 146 131 118 108 94 85 69 58 54 55 59 62 64 65 67 69 68 64 61 63 68 75 83 93 106 118 124 128 126 124 125 125 123 117 112 105 103 100 91 89 96 107 106 91 78 75 79 90 104 116 126 130 134 138 144 151 157 156 145 109 77 100 133 133 121 106 95 91 92 104 119 nan nan nan nan nan 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 0 0 0 0 0 0 1 1 4 6 8 11 13 13 12 10 9 7 6 6 4 3 5 7 8 9 11 12 12 9 5 2 1 1 3 7 11 15 17 18 17 15 13 11 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 8 6 3 2 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 20 43 63 70 68 91 120 121 131 141 140 131 114 96 88 78 66 53 49 52 55 58 60 61 62 59 53 46 44 46 49 53 59 70 90 113 130 132 126 121 120 120 119 116 112 108 106 103 96 95 103 108 104 94 85 82 87 100 113 124 130 131 136 146 156 162 167 164 138 114 119 134 135 127 117 108 104 107 116 125 126 nan nan nan 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 2 0 0 0 0 0 0 0 0 0 1 3 5 7 10 12 12 12 12 11 9 8 4 2 1 2 2 3 4 6 7 7 6 6 4 4 4 4 7 10 13 16 17 16 13 11 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 8 6 4 4 5 6 6 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 1 9 14 30 51 68 90 118 117 110 113 122 131 133 121 99 89 84 73 59 52 51 49 54 57 57 55 53 49 41 36 33 32 33 34 40 54 81 110 126 128 122 116 112 111 112 113 112 110 108 102 96 96 102 106 101 95 92 96 106 116 125 129 132 136 145 157 167 176 177 165 150 141 137 135 132 130 128 126 126 128 129 125 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 6 4 1 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 12 13 13 11 10 7 3 0 0 0 0 0 1 2 2 3 4 6 7 7 7 7 8 10 12 14 15 13 10 8 7 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 6 6 6 7 7 7 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 14 20 30 45 65 87 97 102 106 112 120 127 125 109 92 82 72 62 56 50 44 46 52 51 46 43 43 37 30 24 20 18 18 19 27 45 72 101 117 116 109 102 99 102 107 111 112 111 106 99 93 93 93 94 97 102 109 115 120 123 124 128 133 141 154 167 176 180 172 157 142 135 133 133 136 138 139 137 132 130 128 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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31 38 47 50 44 40 47 70 89 94 90 80 65 50 38 26 19 25 36 49 56 49 33 31 40 44 38 29 18 10 5 12 40 62 70 65 53 43 38 39 44 51 48 32 22 23 19 18 22 29 29 20 10 4 4 4 5 5 5 5 4 4 4 4 6 8 11 13 13 15 20 22 21 17 13 9 10 12 15 16 15 12 9 9 14 17 12 6 7 10 12 12 12 13 13 10 6 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 5 4 4 4 4 5 5 6 9 13 15 11 8 8 8 8 8 8 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 17 30 39 35 31 34 46 70 89 93 91 87 86 80 65 57 58 56 43 28 18 14 11 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 38 51 42 39 48 63 78 88 88 83 76 72 73 75 72 61 50 52 70 99 115 115 110 110 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 16 21 22 19 17 23 41 68 86 95 98 93 80 64 44 26 20 22 33 56 57 42 35 40 48 50 45 38 32 28 26 31 43 52 54 51 47 43 40 40 50 61 56 45 50 45 26 18 19 19 14 9 5 5 7 8 7 7 6 6 5 5 6 6 8 10 13 16 17 20 23 23 21 17 11 9 10 14 15 12 5 2 4 11 18 18 13 9 11 13 14 15 17 16 13 9 7 6 5 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 3 5 5 4 4 5 6 6 6 7 13 17 14 9 7 8 8 8 7 7 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 1 15 34 41 36 27 24 27 40 61 83 99 105 104 89 61 43 43 56 55 39 22 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 43 48 49 52 57 64 72 76 73 68 65 66 70 67 58 51 54 68 89 105 113 114 116 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
1 3 5 6 4 4 7 18 40 64 82 98 104 102 92 73 54 43 38 46 72 83 59 40 37 46 50 48 43 40 36 28 21 24 29 33 39 48 52 49 43 44 60 68 62 63 58 36 20 18 20 19 18 15 15 19 22 21 18 13 9 7 6 7 6 6 8 11 15 17 19 20 22 22 21 17 14 13 14 13 9 2 0 2 6 11 13 11 8 8 9 9 10 11 11 10 8 8 8 8 8 6 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 6 8 7 6 6 6 7 7 9 13 16 15 9 7 8 8 7 7 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 31 39 31 20 16 16 18 30 55 81 110 115 90 57 37 35 52 61 47 26 13 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 28 48 63 69 64 56 58 66 68 66 64 67 69 65 60 54 52 55 64 80 95 106 116 126 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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6 7 8 9 7 4 2 1 5 12 19 25 41 62 78 82 81 73 64 63 74 83 74 53 37 34 39 42 34 26 18 12 7 4 3 3 11 27 46 61 69 68 67 71 69 59 50 43 35 29 27 30 36 40 42 42 39 37 34 31 24 16 10 9 8 7 6 7 8 11 11 11 11 11 13 16 17 16 15 12 8 4 2 2 2 3 6 9 8 6 5 4 2 1 2 4 5 5 6 7 8 9 5 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 11 17 22 26 25 22 19 18 20 21 18 11 7 6 6 5 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 5 20 32 24 9 2 1 0 1 9 29 56 79 90 85 72 63 66 69 59 40 20 7 1 0 0 0 0 0 0 0 0 0 1 4 10 12 2 0 0 0 0 0 1 7 30 72 103 101 70 51 49 56 64 72 77 76 69 56 39 21 11 18 42 66 86 106 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
21 19 18 18 18 16 13 8 6 7 8 9 16 30 42 48 47 45 42 42 52 68 71 63 59 59 62 62 52 44 39 32 24 18 14 12 14 22 36 51 62 66 65 64 64 58 47 37 30 26 25 27 34 41 45 44 40 38 37 34 27 17 14 13 12 10 8 7 7 8 9 9 11 10 11 12 12 12 13 14 12 9 6 4 4 5 10 12 8 7 6 6 4 3 3 4 5 5 5 6 7 8 6 2 1 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 1 1 1 1 1 2 7 13 19 26 31 33 32 30 26 24 21 14 8 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 29 23 9 2 0 0 0 3 17 36 55 75 91 89 75 65 54 49 44 33 18 7 1 0 0 0 0 0 0 0 0 1 6 18 25 15 6 1 0 0 0 0 4 18 53 94 110 90 62 49 53 62 70 73 68 59 50 41 22 11 20 47 73 94 112 127 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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80 63 46 43 46 49 47 43 38 32 27 24 24 24 23 19 13 10 13 22 33 46 56 62 67 75 86 89 83 79 78 74 72 72 71 72 70 69 67 64 65 66 66 63 61 59 55 48 41 36 34 33 34 36 38 38 39 41 42 42 33 22 19 25 29 27 21 15 13 13 13 14 14 14 14 13 11 10 10 12 14 16 16 14 13 14 15 12 7 4 4 5 5 5 5 4 5 4 4 4 5 5 4 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 2 6 10 14 16 18 20 21 21 20 19 16 13 11 10 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 15 12 5 1 0 0 0 3 11 22 25 28 38 53 67 74 70 60 53 57 57 46 28 10 2 0 0 0 0 0 0 0 1 7 18 32 44 41 18 5 1 1 5 19 47 72 88 95 93 84 71 72 74 67 56 51 56 60 48 29 21 27 43 61 75 79 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
110 98 81 68 64 67 68 68 65 61 55 47 41 33 24 16 6 3 4 10 18 28 38 43 41 39 49 62 68 73 73 69 69 72 76 82 84 81 74 68 68 71 75 75 72 69 65 62 57 51 46 40 38 38 37 35 33 34 37 40 38 32 28 30 34 32 25 16 9 6 6 7 8 8 10 11 10 9 9 9 10 13 14 12 11 14 17 17 12 5 4 5 4 4 4 4 4 4 4 4 4 4 4 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 1 4 8 11 14 15 16 17 18 17 16 14 12 11 10 9 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 1 6 9 6 1 0 0 0 1 5 13 20 18 14 17 24 42 61 72 69 56 45 46 50 48 39 22 8 3 1 0 0 0 0 0 2 7 19 39 56 46 25 10 4 7 23 51 74 80 82 78 85 81 84 84 76 60 54 60 69 64 44 27 23 29 43 51 48 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
113 105 95 86 81 83 90 92 93 95 95 93 81 60 35 17 6 1 1 5 10 17 24 28 32 37 44 50 54 53 47 44 44 46 50 58 67 65 55 49 51 62 77 84 83 78 75 74 72 68 63 56 49 43 38 33 28 26 30 35 37 37 36 36 36 34 27 17 5 2 2 3 4 5 7 10 10 9 8 9 8 9 10 10 10 11 16 18 14 6 4 4 4 4 4 4 4 4 4 4 4 4 4 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 5 9 11 13 15 17 18 18 17 15 13 11 11 10 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 1 6 8 4 0 0 0 0 3 14 20 17 10 6 6 11 23 40 56 63 56 41 32 31 38 47 53 39 23 12 6 2 1 0 0 0 2 8 21 41 53 45 25 11 10 25 54 76 74 72 69 68 73 83 92 96 90 78 76 79 72 55 41 32 35 44 46 39 33 29 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
106 104 102 101 97 96 102 108 113 119 125 124 116 99 68 36 16 9 6 9 12 16 19 22 26 31 39 47 51 48 41 35 29 25 24 32 47 50 44 37 38 50 67 79 83 82 84 85 84 81 76 71 60 50 41 34 29 24 26 30 34 35 36 37 39 39 34 26 17 10 5 5 6 6 8 10 12 11 10 10 10 10 9 10 10 11 14 16 11 5 4 4 4 4 5 5 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 9 11 12 14 17 20 19 17 14 12 10 10 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 3 0 0 0 3 10 23 23 16 9 5 5 10 19 31 46 58 55 45 37 28 26 35 52 64 57 41 28 20 11 3 1 0 1 4 9 20 40 48 36 21 16 28 53 67 60 57 55 53 56 67 83 101 115 110 91 74 58 50 51 52 59 64 59 48 37 30 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
107 113 121 122 117 114 117 122 125 128 132 136 133 123 99 70 47 34 26 20 19 20 23 26 26 26 31 39 46 47 44 37 30 24 21 28 43 52 50 45 43 47 56 64 68 70 76 85 90 88 83 74 64 55 46 40 35 31 30 30 31 32 32 34 37 40 41 39 32 24 18 16 15 13 11 11 13 14 15 15 13 11 11 11 11 12 13 10 5 3 4 4 4 4 5 5 5 4 4 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 12 14 18 20 18 15 12 10 8 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 6 2 0 0 0 6 14 20 16 13 10 7 10 14 22 32 46 56 52 48 48 45 39 38 47 63 68 60 56 55 47 29 14 8 5 5 6 11 22 34 38 30 23 30 47 51 45 41 38 36 40 50 67 89 108 110 89 54 29 24 39 60 80 93 86 65 47 32 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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