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 4 3 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 5 5 6 7 8 8 7 6 5 5 5 5 6 5 5 5 5 4 4 3 3 2 1 1 1 2 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 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 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 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 4 5 5 6 6 6 6 7 8 7 6 4 4 4 3 2 3 8 9 5 3 4 4 2 5 13 17 13 6 -0 1 8 6 2 7 7 6 5 5 3 1 1 1 1 1 -1 -0 3 3 1 1 2 4 3 -1 -3 1 6 6 4 1 -0 -1 0 2 5 6 6 5 5 3 1 5 9 5 3 5 6 6 6 3 2 3 11 27 40 34 20 9 5 3 3 4 4 3 3 3 2 2 3 5 7 8 10 12 11 9 7 5 5 3 3 2 2 2 3 3 3 3 3 3 3 3 2 1 0 0 1 2 3 4 4 5 9 10 7 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 3 1 2 3 5 4 4 5 5 3 3 3 4 3 4 4 4 4 5 5 5 5 5 4 4 4 6 9 9 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 6 8 9 9 8 4 2 2 2 -1 -2 -1 -2 -1 -1 5 9 8 2 3 7 8 5 1 -10 -20 -26 -25 -19 -10 -1 4 5 5 5 5 7 8 10 12 8 5 5 6 5 6 6 6 7 9 7 5 6 8 7 7 7 6 4 2 2 2 3 4 5 6 7 8 8 8 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 3 3 3 3 4 5 6 6 6 4 4 3 4 5 6 6 5 4 4 4 5 5 6 5 4 4 5 5 5 5 4 4 5 4 4 3 3 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 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 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 4 4 4 4 5 5 5 5 5 6 7 7 7 7 6 6 5 4 3 3 2 2 3 11 15 9 7 8 7 2 5 12 13 8 3 -1 -3 1 1 4 7 4 2 -2 -3 1 3 3 3 2 1 -1 0 3 3 1 -0 1 3 5 6 5 4 3 3 3 -1 -1 0 -1 -0 2 5 5 5 6 3 1 6 8 4 4 6 8 11 11 8 7 10 22 36 37 26 13 5 4 3 4 4 4 3 3 2 2 3 4 5 6 8 9 11 11 9 6 5 4 3 2 2 2 3 3 4 4 3 4 3 3 3 2 1 1 1 1 2 2 3 2 4 8 11 10 5 5 4 5 5 6 7 6 6 5 5 5 5 5 6 5 5 5 5 4 2 1 0 1 2 2 3 4 5 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 5 8 10 8 5 4 4 4 4 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 5 4 5 5 5 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 2 -2 -0 6 10 10 7 9 5 5 5 6 7 8 8 5 7 9 8 5 -0 -4 -8 -10 -11 -12 -10 -4 3 5 4 4 4 5 5 7 9 6 4 5 5 5 5 5 5 6 6 6 6 6 5 4 4 6 6 4 3 2 2 3 4 6 7 8 9 10 9 6 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 4 5 6 7 6 4 4 4 5 6 6 5 5 4 4 4 4 4 4 3 3 4 5 4 4 3 3 4 3 3 3 2 2 2 2 2 2 3 2 2 2 2 3 3 3 3 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 4 4 4 4 4 5 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 5 4 4 4 4 5 5 5 6 6 7 7 6 6 5 5 4 3 3 2 2 3 8 14 12 8 8 8 3 -2 2 9 9 5 4 2 -4 -5 0 8 5 0 1 0 0 1 2 2 3 3 2 1 3 5 5 2 0 1 2 3 5 6 5 2 -1 -2 -2 1 3 0 -2 0 5 7 7 5 5 6 6 2 1 3 5 9 13 14 12 12 17 28 32 26 15 7 4 4 4 4 4 4 3 3 3 3 3 4 5 6 7 9 11 10 8 6 4 3 3 2 2 3 4 4 4 4 4 4 4 4 3 2 1 1 1 1 1 1 2 2 3 13 23 13 5 5 5 5 6 6 7 6 5 5 5 5 6 6 6 6 5 5 5 4 3 1 -1 -1 -1 -2 -1 3 4 3 3 4 4 4 3 3 3 4 4 4 5 5 5 6 5 4 4 5 8 11 9 6 5 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 5 5 4 5 4 4 4 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 -2 -9 -10 -2 8 9 8 8 7 8 9 10 9 7 5 4 7 11 10 6 3 4 2 1 0 -3 -3 0 3 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 6 6 5 4 3 3 3 4 5 6 9 12 12 10 8 4 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 nan nan nan nan nan 2 3 3 3 3 3 3 3 4 5 6 7 6 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 5 5 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 9 9 10 10 10 10 9 9 9 9 8 8 7 7 6 5 4 4 4 4 4 5 6 6 7 7 7 6 5 4 4 3 3 2 2 1 1 -0 0 1 5 6 5 1 -3 3 10 5 5 6 7 1 -3 1 5 2 -0 3 5 6 5 4 3 2 4 5 6 9 9 6 3 2 2 1 2 2 2 3 1 -3 -5 -3 -0 3 3 1 1 5 8 7 5 11 15 8 2 3 3 5 10 14 15 16 19 25 28 23 15 8 5 5 4 4 4 4 4 4 3 3 3 4 4 5 6 7 9 11 10 8 6 4 3 3 3 3 3 4 5 4 4 4 4 4 3 3 3 2 2 2 1 0 1 2 3 5 21 26 10 5 5 5 6 6 6 5 5 5 5 6 6 5 6 6 5 5 5 4 4 5 3 -2 -1 -1 -3 -3 1 4 3 3 4 4 4 4 3 3 3 4 4 4 5 5 6 6 5 4 5 7 9 9 7 5 4 4 4 4 4 4 5 5 4 4 3 3 4 5 6 6 7 7 6 6 6 5 4 5 4 4 4 4 3 3 2 2 2 2 1 1 1 1 1 1 1 1 2 2 1 1 0 -6 -12 -8 1 6 6 5 5 6 8 11 13 9 6 4 5 9 12 11 6 4 1 -1 1 4 5 6 5 4 2 2 3 4 4 4 4 5 5 5 5 5 5 5 4 4 5 6 7 7 7 6 6 6 6 5 5 4 3 3 4 5 7 10 14 15 13 10 5 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 nan
nan nan nan nan nan nan nan nan 3 3 3 3 3 3 3 3 3 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 1 2 2 2 2 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 5 6 6 6 7 8 9 10 10 11 12 12 11 11 10 10 10 9 9 8 7 7 6 5 5 4 3 4 5 5 5 6 7 7 7 6 4 3 3 3 2 1 1 -3 -13 -19 -9 4 4 4 5 3 4 7 4 5 7 6 5 3 3 3 2 3 4 6 7 7 6 6 4 7 8 7 11 11 8 5 4 3 2 2 2 2 3 3 1 -1 1 1 2 5 6 5 4 4 6 8 14 16 10 7 8 8 9 12 15 18 20 24 26 22 14 8 6 5 5 5 4 4 4 4 3 3 3 3 4 4 5 6 7 9 10 10 8 5 4 3 3 3 3 4 5 5 4 5 5 4 4 4 4 3 3 2 1 -0 -0 1 3 4 7 20 19 9 6 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 5 4 4 4 4 1 -2 -1 4 5 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 5 6 6 6 5 5 6 7 8 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 3 2 2 2 2 2 2 1 -0 -0 -0 -0 0 1 3 4 3 2 4 3 -3 -5 -1 5 6 5 4 5 5 8 14 15 11 7 4 6 12 14 10 4 1 4 8 10 8 7 6 4 3 2 2 3 5 4 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 7 7 6 6 5 4 3 2 4 5 8 12 14 16 13 9 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 3 2 2 3 3 3 3 3 3 4 5 6 7 6 6 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 4 4 4 4 4 3 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 3 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 4 3 3 4 4 5 5 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 6 6 6 6 7 8 9 10 11 12 13 13 13 12 12 12 11 10 10 9 8 7 6 6 5 4 4 3 4 4 4 5 6 7 7 6 5 5 4 3 2 2 1 -1 -6 -6 1 0 -3 3 6 2 -4 -1 6 7 7 5 5 4 3 4 4 4 4 4 5 6 7 6 5 8 10 7 7 8 7 6 4 4 6 6 6 6 7 6 5 6 7 7 5 7 8 8 4 -0 9 13 13 11 8 9 9 10 13 16 18 20 21 21 18 13 9 6 6 5 4 4 4 4 4 4 3 3 3 4 4 4 4 6 7 9 11 11 8 5 4 3 3 3 4 5 5 5 5 5 5 4 3 3 4 3 3 2 1 0 1 2 3 4 8 20 25 14 6 4 5 5 6 6 5 5 6 7 6 6 6 6 6 6 6 5 5 4 4 5 4 -0 -2 3 9 8 5 3 3 4 5 4 4 4 4 3 3 3 4 4 4 5 5 5 5 4 5 6 7 6 5 4 4 3 2 2 2 2 3 3 4 4 4 5 5 5 5 5 6 7 7 6 6 6 5 5 4 4 4 4 3 2 3 3 3 3 3 1 -0 -1 -2 -1 1 5 9 8 6 9 8 5 2 2 3 5 5 4 6 5 4 8 12 12 11 5 6 11 13 13 9 9 12 14 13 10 8 6 7 8 8 5 3 4 4 4 4 5 4 5 5 5 5 5 5 5 5 6 7 8 8 7 7 6 6 5 4 3 3 4 5 8 12 14 13 10 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 6 7 7 7 6 5 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 2 2 3 3 3 2 2 2 2 2 2 2 3 3 2 3 4 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 8 9 10 11 12 12 12 13 13 13 13 12 11 10 9 8 7 6 6 6 5 4 4 3 3 3 4 6 7 7 6 6 5 5 4 3 2 3 2 4 12 17 7 -4 -3 -2 -9 -11 -1 9 9 6 4 5 5 4 5 5 4 4 4 4 5 6 6 5 7 8 7 4 4 5 5 4 6 11 12 9 8 9 9 9 10 12 14 10 5 6 11 9 5 7 10 11 9 8 10 9 11 15 19 20 20 18 13 9 7 7 7 5 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 7 8 11 11 8 5 3 3 2 3 4 5 5 5 6 6 5 4 4 4 3 3 3 2 1 1 2 3 4 5 8 21 35 23 7 5 5 6 7 7 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 -1 -2 4 9 7 5 5 5 5 5 4 4 4 3 3 3 4 4 4 4 5 5 5 4 5 5 5 5 5 5 4 3 3 2 2 1 1 2 3 3 4 5 5 5 5 5 5 6 6 7 7 7 6 5 4 4 4 3 3 3 4 4 5 5 5 4 2 -1 -4 -6 -1 5 9 8 8 12 11 7 5 4 4 5 4 4 6 7 4 3 3 4 5 5 6 8 9 13 13 14 13 13 12 10 9 8 10 15 17 10 1 1 3 3 4 4 5 5 5 5 5 5 5 4 5 6 7 8 9 8 7 7 7 6 6 5 4 4 6 7 8 9 10 9 8 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 3 3 4 3 3 4 4 3 3 3 3 3 3 4 5 6 7 8 7 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 7 6 6 7 8 9 10 11 12 11 11 12 14 14 13 12 12 11 10 8 7 6 5 6 7 5 4 3 3 3 4 6 7 7 7 6 5 5 4 3 3 3 3 3 6 11 13 7 1 -4 -8 -6 2 8 8 4 3 5 6 7 6 5 5 5 6 5 4 4 4 4 5 4 4 4 3 3 4 5 9 14 14 9 8 9 8 9 11 10 9 13 5 4 12 12 10 6 7 10 8 10 12 11 12 17 19 19 17 14 10 6 6 7 6 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 7 9 10 10 8 5 3 2 2 3 4 5 6 6 6 5 5 4 4 4 3 3 3 2 2 2 2 3 5 7 9 19 40 33 11 5 5 5 6 8 8 7 7 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 2 -1 1 6 7 6 5 5 6 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 3 2 2 1 1 2 2 4 4 4 4 5 5 5 6 6 6 6 5 5 4 4 3 3 3 4 4 4 5 6 7 8 8 6 0 -6 -3 4 7 6 5 8 11 8 6 5 4 5 5 4 4 6 6 3 0 -2 -2 2 6 6 6 8 10 11 11 11 9 9 8 8 12 19 23 15 -1 -6 -0 2 4 4 4 5 5 5 5 5 5 5 5 5 7 9 9 9 8 8 8 8 8 7 6 6 6 6 6 7 6 7 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 2 3 3 4 4 3 3 3 4 4 4 4 3 2 3 5 6 7 8 7 6 5 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 9 10 11 11 12 12 14 15 16 14 13 12 12 10 8 7 6 5 6 7 6 6 4 3 3 4 6 7 8 7 6 5 5 4 4 3 3 3 2 0 0 5 12 11 5 2 4 6 5 3 2 4 6 7 9 6 4 5 6 7 6 5 4 3 3 2 2 3 3 4 5 6 7 12 14 12 9 7 5 5 5 8 8 6 6 -1 3 11 11 9 6 8 12 12 14 14 13 12 13 15 15 13 10 8 6 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 8 10 10 8 5 3 2 2 3 4 5 6 6 5 4 4 4 4 4 3 2 3 3 3 2 3 4 6 7 9 13 29 35 24 13 8 6 6 7 8 8 8 8 8 7 8 8 7 7 6 5 6 7 6 6 5 4 3 1 1 4 5 4 4 5 5 5 6 6 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 5 5 6 6 6 6 5 5 4 3 2 2 1 1 2 2 3 3 4 5 5 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 5 7 10 14 15 13 3 0 5 5 5 5 5 7 7 6 5 4 4 7 6 4 5 6 8 6 1 -1 1 5 5 5 6 7 8 9 9 8 8 8 8 10 18 22 14 0 -8 -5 2 5 4 4 5 5 5 5 5 5 5 5 5 6 8 9 9 8 8 8 9 10 10 9 8 7 6 6 6 5 6 7 7 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 4 3 3 3 3 3 3 2 2 4 4 5 5 4 3 2 2 4 5 6 7 6 6 5 4 4 4 4 4 3 3 3 3 3 4 3 4 3 4 4 3 2 2 2 3 3 3 4 4 5 5 5 4 4 4 3 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 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 4 4 4 4 5 5 5 5 6 6 7 8 9 9 9 10 12 14 17 19 18 16 14 12 11 10 8 7 6 5 5 6 7 7 5 4 4 4 6 7 8 7 6 5 4 4 4 3 3 3 2 2 0 2 8 10 10 10 10 7 4 3 5 5 5 8 9 6 4 5 5 7 7 6 4 3 2 2 2 3 5 6 8 7 9 11 10 9 8 6 5 5 3 4 6 9 3 -4 4 7 4 4 2 7 13 15 16 15 11 7 5 8 10 9 8 7 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 7 8 9 9 8 5 3 2 2 3 5 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 4 6 6 7 7 8 13 24 30 25 18 15 11 10 9 9 8 7 7 7 8 10 10 9 6 5 6 6 5 5 5 4 3 2 1 2 3 2 3 3 3 3 5 5 5 4 3 4 4 4 4 5 5 5 5 4 3 2 2 3 4 5 5 6 6 6 6 6 5 5 4 2 1 0 0 1 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 10 17 18 13 7 5 5 6 5 5 5 5 6 5 6 6 6 8 9 7 5 6 9 10 6 2 2 4 4 5 5 5 6 7 8 8 8 8 8 8 14 17 9 4 2 -1 3 5 5 5 5 6 6 6 6 6 5 5 5 6 8 8 8 8 7 7 8 10 12 11 9 8 6 6 7 6 6 7 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 6 5 4 3 3 3 3 2 2 3 4 5 5 4 3 3 3 3 3 3 5 6 6 6 5 4 4 4 4 3 3 3 2 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 3 4 3 3 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 9 8 8 9 12 15 19 22 22 20 16 12 11 10 8 7 6 5 5 5 6 6 6 5 5 4 5 7 8 7 6 5 4 4 4 4 3 3 3 2 3 5 7 9 9 9 7 5 6 9 10 7 5 6 8 6 7 7 4 5 8 8 5 4 3 3 4 5 6 7 9 7 8 7 7 7 7 7 6 10 7 4 9 16 7 -0 8 8 -4 -5 -0 7 12 13 12 11 9 8 7 8 8 5 5 6 6 6 5 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 7 8 10 9 8 6 4 2 2 4 5 6 6 5 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 6 6 10 18 21 21 20 20 18 15 13 11 10 10 8 6 8 9 8 6 5 4 3 4 6 6 6 4 3 4 4 2 2 2 1 2 1 2 3 4 3 3 3 4 4 4 5 5 5 6 5 5 4 3 2 2 2 2 2 3 5 6 6 7 6 5 4 3 2 1 0 0 1 1 2 3 3 2 2 2 2 1 1 1 1 1 2 2 3 3 4 4 9 16 15 6 5 6 6 6 5 5 5 6 6 5 5 6 7 10 12 11 8 6 6 6 5 2 2 3 4 4 5 5 5 5 6 7 7 9 9 9 10 12 8 8 9 7 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 8 7 7 6 6 7 8 10 12 11 7 7 8 8 8 7 6 5 5 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 6 6 6 6 5 5 4 2 2 1 2 3 4 5 4 3 3 4 3 2 2 3 4 5 6 5 5 4 4 3 3 3 2 2 2 2 3 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 2 3 3 3 3 3 3 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 8 8 7 9 11 14 18 23 25 23 18 13 10 9 8 7 6 5 5 5 6 6 6 6 5 5 6 6 7 7 6 6 5 4 4 3 3 3 3 2 4 7 8 8 4 1 2 6 10 12 11 9 4 6 8 7 11 11 3 2 8 9 7 5 4 5 5 5 3 4 6 6 6 5 6 6 8 7 8 12 12 8 12 19 10 4 10 20 12 0 3 9 12 11 9 9 11 13 14 11 6 3 4 6 6 5 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 6 7 9 10 10 9 7 5 3 4 5 6 7 6 5 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 8 11 13 16 18 17 15 13 15 17 15 12 8 5 4 4 4 4 4 8 15 16 13 9 7 7 4 2 2 1 1 1 1 1 1 1 2 2 3 3 4 4 4 5 5 5 6 6 6 6 6 5 3 -1 -4 -6 -5 -1 4 6 7 6 6 5 4 3 2 1 0 -0 -0 1 2 2 1 1 1 1 1 -0 -0 -0 -0 2 6 7 7 9 9 11 11 6 4 5 5 6 6 5 4 6 7 6 7 8 7 8 9 9 7 4 3 2 2 2 2 2 3 4 4 4 4 4 4 5 6 8 10 10 9 9 8 10 11 7 5 5 6 7 6 6 7 6 6 5 6 5 5 5 6 7 7 6 6 6 6 6 9 12 11 8 8 8 8 8 7 6 4 4 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 5 5 6 7 7 6 4 2 1 2 2 3 4 4 4 4 4 4 3 2 2 2 3 4 5 6 5 4 4 3 3 2 2 1 2 2 2 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 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 4 4 5 5 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 8 10 13 17 22 25 25 20 14 11 9 9 8 7 5 4 5 5 6 6 6 6 6 6 7 7 6 8 10 9 6 4 3 3 3 4 7 8 5 -1 -1 -2 -3 0 8 9 9 10 12 6 3 6 8 12 13 5 1 6 9 8 6 5 5 6 6 3 1 3 4 3 5 5 5 7 8 10 10 10 9 12 12 8 5 10 29 31 13 9 11 10 9 8 9 11 13 13 9 5 4 5 6 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 6 6 5 6 7 10 11 10 9 8 6 5 6 6 7 7 6 5 4 5 6 5 5 5 4 5 5 4 5 5 5 5 4 5 5 5 5 5 4 4 5 5 7 9 10 11 11 15 18 20 20 17 10 5 3 4 7 8 12 21 28 24 17 12 6 2 3 3 2 2 2 2 1 1 1 1 1 1 1 2 3 4 4 5 5 6 6 7 8 10 11 10 4 -5 -11 -9 -5 -1 4 6 6 6 6 6 5 4 3 1 -0 -1 -0 0 1 1 0 -0 -0 -0 -1 -2 -3 -4 -1 7 11 12 12 9 8 7 6 5 4 4 4 4 5 5 5 6 6 6 7 5 4 4 5 4 4 3 3 3 3 2 2 3 3 4 4 4 4 4 4 5 6 9 10 9 8 7 8 10 8 4 5 6 6 6 7 7 8 7 6 5 5 5 5 6 6 6 6 5 5 6 6 7 10 11 10 9 8 9 9 7 6 4 4 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 3 3 4 4 4 5 5 7 7 6 4 2 2 3 3 3 2 3 4 4 4 4 3 3 2 2 2 4 5 6 6 5 5 4 3 2 2 2 1 2 2 3 3 3 2 2 3 3 3 3 4 3 3 3 3 4 4 4 4 3 3 4 4 4 3 4 4 3 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 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 5 5 5 4 4 5 5 4 4 4 5 5 5 5 5 5 5 6 6 7 7 6 6 7 10 12 16 20 23 24 20 15 11 10 9 8 6 5 5 4 4 5 6 7 6 6 6 7 7 6 7 11 11 7 4 3 3 3 5 12 13 1 -10 -11 -4 -1 3 11 9 6 7 10 9 2 2 7 9 11 8 3 3 6 7 6 5 5 6 6 5 4 3 3 2 3 5 5 5 8 9 4 3 6 8 8 5 2 8 22 25 15 12 9 7 7 8 9 9 9 8 7 5 5 6 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 6 6 5 6 8 11 12 11 10 9 7 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 3 4 5 6 7 9 12 15 18 18 15 12 7 5 7 9 11 15 19 20 17 11 4 2 3 3 3 2 3 3 4 4 3 2 1 0 -0 0 1 0 -1 0 3 5 5 5 7 8 12 14 14 9 2 -1 2 2 3 4 4 4 5 5 6 6 5 3 2 -0 -1 -1 -1 -0 -0 -1 -0 0 -1 -6 -7 -6 -3 4 10 11 11 10 8 8 7 6 6 5 3 5 7 10 7 5 5 4 3 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 7 8 9 9 7 6 7 8 6 5 6 6 6 6 8 8 9 7 5 5 6 6 6 5 6 7 6 6 6 7 7 8 9 9 8 8 8 9 8 7 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 3 4 4 4 4 5 7 7 6 5 4 3 3 2 1 2 3 3 4 5 5 4 3 2 2 2 4 5 5 5 6 6 6 5 3 2 1 2 3 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 6 6 7 7 6 5 7 9 11 14 17 20 21 19 15 11 10 9 8 6 5 4 4 4 5 6 6 6 6 6 7 7 5 2 3 6 7 5 4 3 3 7 14 13 4 -6 -7 0 2 6 8 7 3 8 7 8 -1 -0 4 7 8 8 3 1 3 5 6 6 6 6 6 6 5 5 4 4 4 5 4 4 9 8 0 -0 4 6 5 3 1 4 11 15 12 11 9 8 8 8 8 7 6 5 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 6 5 6 6 8 11 12 12 11 9 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 6 8 9 9 9 8 5 4 5 7 8 8 7 8 8 6 4 3 4 4 4 3 4 4 5 6 6 6 5 2 -1 -2 -3 -7 -11 -9 -3 2 4 5 5 6 7 10 15 20 17 10 8 8 5 3 2 3 4 4 5 5 6 5 4 2 0 -1 -1 -1 -2 -3 -2 3 1 -6 -8 -4 1 4 6 7 7 7 8 9 8 7 7 7 6 6 10 13 12 9 6 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 5 4 4 4 4 5 7 8 9 9 6 5 5 6 6 6 6 6 7 8 9 10 9 5 5 5 6 6 6 7 7 7 6 6 7 8 9 9 7 6 7 7 8 8 7 7 7 7 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 2 2 2 3 3 3 4 5 5 6 7 6 6 5 4 3 2 1 1 2 3 4 5 5 4 3 3 2 3 3 4 5 6 7 7 7 6 5 4 3 4 5 5 4 4 4 3 4 3 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 6 6 6 7 6 5 6 8 10 12 14 16 16 15 13 11 10 9 7 6 4 4 3 3 4 6 5 5 5 6 7 8 5 1 -1 2 5 5 4 3 4 10 15 12 7 2 0 4 6 9 2 3 -1 6 8 8 1 -1 0 5 7 7 4 2 2 6 9 8 8 7 7 6 5 5 5 5 5 4 4 5 10 11 6 4 5 6 3 0 1 3 7 11 10 10 8 8 8 7 7 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 6 6 6 6 8 11 13 12 11 10 9 7 6 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 2 3 4 6 7 8 8 6 5 4 4 4 4 4 4 4 5 5 5 6 7 7 8 8 6 2 0 -2 -11 -19 -15 -5 -1 1 4 5 5 5 7 10 16 19 15 10 6 3 1 1 1 2 3 3 4 5 5 4 3 2 2 2 2 2 -2 -3 -2 1 5 2 1 3 5 6 5 4 4 6 8 9 8 8 7 7 2 2 9 11 8 6 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 5 7 9 10 7 5 4 5 6 6 6 7 7 8 9 10 10 7 6 6 6 6 6 7 7 7 6 5 6 9 13 14 11 6 5 7 8 8 7 8 7 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 2 2 3 3 3 4 4 5 6 6 6 6 6 5 4 3 2 1 2 2 3 4 4 4 3 3 4 4 4 4 5 6 7 7 8 8 8 7 7 7 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 7 7 6 6 6 6 8 9 10 11 12 12 12 11 10 9 7 6 5 4 3 3 3 4 5 5 4 5 6 8 9 7 5 3 3 4 4 4 4 5 10 13 12 9 6 4 7 12 13 5 3 1 4 12 12 5 1 0 4 5 3 5 4 5 10 11 9 8 8 8 8 6 5 5 5 5 3 4 8 12 12 11 9 6 6 3 -2 0 4 8 9 8 7 7 6 7 6 5 5 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 5 6 8 11 12 12 11 10 8 6 5 5 5 5 4 5 5 5 4 5 5 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 5 6 7 8 9 9 7 6 5 4 4 4 5 5 5 5 5 5 5 6 7 8 7 6 4 1 -5 -11 -8 -0 2 1 1 2 3 4 5 7 9 12 12 8 3 1 -0 -1 -0 0 1 1 2 3 5 5 2 4 9 8 6 7 7 5 2 4 9 9 5 5 6 6 6 4 3 5 8 8 8 9 10 7 2 0 4 6 5 5 5 5 3 2 2 2 2 2 2 2 3 5 5 5 4 4 3 3 4 4 5 5 5 4 4 5 5 7 10 9 5 3 4 5 6 6 7 7 7 8 9 9 9 9 8 7 7 6 7 7 7 6 6 6 9 15 19 16 10 5 5 7 8 8 8 8 8 8 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 3 2 2 2 2 2 2 2 3 4 4 5 6 6 6 7 7 6 5 4 2 2 1 2 2 3 3 3 4 5 5 5 5 4 5 5 6 7 8 9 9 9 8 7 6 5 5 5 5 5 4 4 3 3 3 2 2 2 2 2 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 5 6 5 5 5 6 6 7 7 6 6 6 6 7 8 9 10 10 9 9 9 8 8 6 6 5 4 3 3 3 4 5 5 4 5 7 8 9 9 7 5 4 3 4 3 3 4 8 10 10 10 8 6 8 17 17 8 4 8 5 11 13 6 4 2 4 3 1 2 3 7 13 11 7 7 7 8 9 8 6 5 5 5 4 5 11 11 8 7 6 6 7 5 1 0 4 7 7 6 5 6 6 6 5 4 5 4 4 4 5 5 4 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 5 5 6 8 10 12 12 10 9 7 6 5 5 5 4 5 5 5 5 5 5 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 3 3 4 5 6 7 8 9 8 7 5 5 5 5 5 5 5 5 5 4 4 4 5 6 7 7 5 5 6 8 8 6 3 -1 -4 -6 -5 -1 2 6 6 6 7 6 4 3 1 0 -1 1 1 -1 -3 0 8 7 -0 2 12 13 9 8 11 13 11 8 6 6 5 6 8 8 7 7 6 6 6 7 8 8 12 12 10 7 5 6 6 6 6 5 3 2 2 1 2 2 2 2 3 5 5 6 5 4 3 3 3 4 5 6 5 4 5 5 6 6 8 8 5 3 4 6 6 7 8 7 7 7 8 8 9 10 9 7 6 6 7 7 7 7 8 8 9 13 17 16 11 5 6 7 7 7 7 7 7 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 3 2 2 2 2 2 2 4 4 4 5 6 6 7 7 7 6 5 3 2 2 2 2 2 2 3 4 5 5 5 5 4 4 4 5 6 7 8 8 8 7 7 6 6 5 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 6 6 6 7 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 6 5 4 3 2 3 4 4 5 6 6 6 7 8 10 10 7 5 4 3 3 3 4 7 8 8 8 10 9 6 7 19 18 7 3 11 6 5 9 6 5 4 5 4 2 2 3 6 10 8 6 6 7 8 8 8 8 6 7 7 5 6 9 8 6 6 5 7 8 7 4 4 6 7 7 6 5 7 7 6 6 4 4 3 4 4 5 5 4 4 3 3 2 3 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 7 10 12 11 9 7 6 5 5 5 4 5 5 5 5 5 5 4 4 4 4 4 3 2 2 2 2 2 2 2 2 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 5 5 5 6 6 7 7 6 5 5 5 5 5 5 6 5 5 3 2 2 4 5 5 5 6 6 10 19 24 14 2 -4 -7 -9 -7 -4 1 5 5 5 5 6 6 7 7 6 5 2 -1 -2 -2 0 4 7 6 5 7 10 10 8 9 11 10 7 5 6 7 7 8 8 10 10 8 6 6 8 9 7 9 12 10 7 6 6 6 6 6 6 4 3 3 3 3 3 3 3 4 5 5 6 5 5 5 4 3 4 5 6 5 5 5 5 6 6 7 8 7 3 3 5 7 7 8 8 7 7 7 8 9 9 9 8 7 6 6 7 7 7 8 8 9 11 13 12 8 6 5 5 6 6 6 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 5 4 4 3 2 2 1 1 1 3 3 3 4 5 5 6 6 7 8 8 6 5 3 2 1 2 2 2 3 4 4 4 5 5 4 4 4 4 5 6 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 5 5 4 4 4 5 5 5 6 6 7 7 7 7 6 6 7 7 7 7 8 7 6 6 6 6 6 5 4 3 3 2 3 3 4 6 7 7 7 7 8 10 10 8 5 3 2 3 3 5 9 11 9 8 7 8 4 4 16 17 7 8 15 8 1 1 5 5 7 7 8 5 4 3 5 5 4 5 5 6 7 7 7 7 7 8 7 5 6 6 6 7 7 6 7 8 7 6 7 8 8 7 6 8 9 8 7 4 3 4 4 3 3 4 5 4 3 3 2 3 3 3 4 4 3 3 3 3 3 5 4 4 5 5 5 5 5 7 9 10 10 8 6 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 4 3 3 3 4 5 5 5 6 8 16 27 25 11 1 -2 -2 -2 -0 3 4 3 4 4 5 6 7 9 10 9 2 -4 -2 3 5 5 7 8 8 6 5 6 7 7 8 9 9 7 6 8 8 8 8 11 12 9 7 5 6 8 7 5 7 7 7 7 6 6 6 6 7 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 6 5 4 5 6 6 6 8 10 5 2 5 7 7 8 8 9 8 7 8 8 8 8 7 7 6 6 7 7 7 8 8 9 10 10 7 5 4 4 4 5 5 5 5 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 6 6 5 5 4 3 2 1 1 1 1 2 2 3 4 4 4 5 5 6 7 8 7 6 3 3 2 2 1 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 2 2 2 2 2 3 3 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 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 6 7 7 7 6 7 7 8 8 7 6 7 6 5 5 5 5 5 5 4 3 2 2 3 3 5 7 8 8 8 7 8 10 9 7 4 3 3 3 4 6 10 13 12 9 7 8 4 -0 8 11 5 11 17 8 0 -1 5 4 8 10 12 6 4 3 2 1 3 4 4 5 6 6 6 5 6 6 5 5 5 6 7 7 6 6 7 8 8 8 8 10 10 7 8 11 11 8 4 3 3 6 6 5 3 4 5 4 4 3 3 3 4 3 4 3 3 4 3 3 3 4 5 5 4 5 5 5 5 6 8 9 9 8 6 6 6 6 5 5 5 5 5 5 5 5 4 4 3 4 3 3 2 2 2 2 3 3 3 3 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 5 5 6 6 6 6 9 17 24 24 16 6 4 3 3 2 2 3 4 6 5 3 4 7 6 4 2 3 6 7 7 7 8 7 6 7 6 4 4 5 6 8 9 8 7 8 9 8 7 8 9 8 6 4 4 6 6 5 5 5 6 6 6 6 5 6 6 6 6 7 7 8 8 8 8 7 6 5 4 5 5 5 5 5 4 5 6 7 6 4 4 5 5 6 7 9 8 4 5 6 7 8 9 9 9 8 7 8 8 8 7 6 6 6 6 7 7 8 8 8 9 9 8 6 5 4 4 4 4 3 4 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 6 6 5 5 5 5 5 4 3 3 2 1 1 2 2 3 3 4 3 4 4 6 8 8 8 6 4 3 3 2 2 2 2 2 2 3 3 4 4 5 5 5 6 6 5 4 4 4 5 4 3 2 1 2 2 2 2 2 1 1 2 2 2 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 4 5 5 4 4 5 4 5 5 5 5 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 6 6 7 7 7 7 8 9 9 7 5 5 5 5 5 4 4 4 4 4 3 2 2 3 4 5 7 9 8 8 8 9 10 9 7 4 3 3 4 6 11 12 13 14 9 6 10 8 0 0 4 2 6 10 7 4 3 5 5 6 10 10 6 2 3 2 1 1 2 4 5 6 7 6 4 5 5 4 5 6 7 8 6 5 7 7 8 10 11 10 11 10 9 11 12 9 5 1 2 4 6 6 5 4 4 4 4 4 4 4 3 4 4 3 3 4 4 3 3 3 3 4 5 5 4 5 5 5 6 7 8 8 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 5 6 5 5 5 6 6 6 5 5 6 6 6 5 5 6 6 6 5 6 8 14 25 27 17 13 11 7 2 1 3 7 13 11 3 2 6 4 3 8 12 12 7 6 7 7 7 7 9 9 6 4 6 7 7 7 7 5 6 7 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 6 5 4 5 5 4 4 5 6 6 8 9 10 8 6 4 3 4 4 5 5 5 5 5 6 8 8 4 3 4 4 5 7 9 8 7 6 7 8 9 9 9 9 9 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 9 10 10 9 6 4 3 4 3 3 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 nan nan nan
nan nan nan 6 5 4 4 5 5 6 5 5 4 3 2 2 2 2 2 2 3 4 4 3 3 5 7 8 8 6 5 4 3 2 2 2 2 2 2 2 3 3 4 4 5 6 6 5 5 5 4 4 4 3 2 2 2 1 2 1 2 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 8 9 10 12 11 7 5 4 4 5 5 5 4 3 3 2 2 2 3 4 6 8 9 9 8 8 9 10 9 6 4 2 3 6 10 14 13 12 12 6 2 7 10 5 1 1 2 2 3 4 4 5 8 7 4 5 6 5 1 2 2 1 -0 1 3 4 5 6 7 6 5 4 3 4 5 7 9 9 9 9 7 6 9 10 9 9 9 10 12 10 5 2 1 2 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 4 5 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 2 3 3 3 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 7 13 20 19 19 21 18 11 7 6 8 13 15 8 5 6 5 6 13 15 11 8 6 5 6 6 7 8 10 9 7 7 7 7 7 7 5 4 4 4 4 3 4 5 5 4 4 3 4 4 4 3 3 3 4 4 5 4 4 3 2 3 4 4 4 6 8 9 6 4 3 3 3 3 4 5 5 5 6 7 10 6 2 4 4 5 7 9 9 8 8 8 9 11 11 10 10 9 9 9 9 9 8 7 7 7 6 6 6 5 5 6 8 8 10 12 11 9 6 4 4 4 4 4 4 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 4 4 4 4 5 6 6 6 6 5 4 3 3 2 2 2 3 5 5 4 2 2 4 6 7 7 5 5 4 3 3 3 3 3 2 2 2 2 3 3 4 5 5 6 5 5 5 4 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 2 2 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 8 9 9 10 14 22 25 18 8 3 3 5 5 5 5 3 2 1 1 2 3 4 6 8 9 10 9 8 9 10 9 6 3 2 4 10 14 13 11 11 9 5 -1 -0 4 6 6 6 5 3 4 3 3 5 10 10 4 3 2 2 2 2 2 0 -0 1 3 4 5 6 7 7 6 5 2 1 3 5 8 11 13 11 6 4 4 2 3 5 6 10 11 7 3 2 1 1 3 3 1 -0 3 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 3 4 4 4 4 4 5 5 5 6 7 7 7 6 7 6 6 7 6 6 6 6 5 4 4 5 5 4 3 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 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 5 7 11 16 21 24 22 16 12 10 10 13 13 10 9 8 7 10 12 9 8 7 5 5 7 7 9 9 10 11 10 8 8 7 7 6 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 6 5 4 3 3 2 3 3 4 4 5 6 7 7 7 4 3 3 5 7 9 9 9 9 11 13 14 14 13 11 10 9 10 11 10 8 7 7 7 6 6 5 5 5 6 7 9 10 10 11 13 14 11 7 6 5 4 4 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 4 4 4 4 5 6 6 6 6 5 4 4 3 3 3 4 5 6 6 5 3 3 4 5 6 6 5 5 4 4 4 4 4 3 3 2 2 2 2 2 3 4 4 5 5 5 5 4 3 2 2 2 2 2 1 2 1 1 0 0 0 1 1 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 3 2 2 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 8 9 10 11 20 31 38 26 6 -0 2 5 6 6 5 4 2 1 1 2 3 4 6 9 10 10 9 8 8 9 8 6 3 4 9 13 13 10 8 9 9 9 2 -3 0 6 6 6 4 6 8 3 2 5 10 10 6 4 2 1 1 1 1 0 0 2 3 4 5 6 6 7 7 6 2 -1 3 6 7 8 9 8 3 2 -1 -7 -2 3 2 7 9 6 3 1 0 0 1 0 -2 2 5 5 3 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 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 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 7 12 17 20 19 16 14 11 13 19 18 14 10 8 7 9 10 11 11 9 9 12 11 12 10 9 11 12 9 6 5 5 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 6 7 6 5 4 4 5 7 9 10 10 10 13 16 19 18 15 12 11 10 11 11 9 7 7 6 6 6 6 5 5 7 9 11 11 10 10 10 16 22 24 16 7 6 5 4 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 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 6 6 6 6 4 3 4 5 6 5 4 4 4 4 5 4 4 4 3 2 2 2 2 2 2 3 3 4 5 6 5 4 3 3 2 2 2 1 2 1 1 -0 -0 0 1 1 1 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 3 2 2 3 3 4 4 3 4 4 4 4 4 5 5 5 6 5 5 5 4 4 5 4 4 4 4 4 4 5 5 4 4 5 5 6 6 7 7 9 10 10 11 18 26 34 21 -3 -9 -4 4 6 7 7 5 3 1 1 2 3 5 7 9 10 9 8 8 8 8 7 5 5 8 13 12 10 9 8 8 8 11 6 2 4 8 5 2 3 8 10 4 1 5 8 7 6 5 3 2 1 -0 1 1 1 3 3 5 5 6 7 7 9 8 4 2 7 10 7 5 7 6 -1 1 -1 -8 -4 1 2 9 11 7 3 -2 -3 -1 2 3 2 6 11 8 4 4 4 3 3 3 4 4 4 5 5 5 4 4 3 3 4 4 4 5 5 5 5 6 7 7 6 5 5 5 5 6 6 6 6 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 4 4 4 4 6 8 12 14 13 12 10 10 17 21 19 13 10 9 11 13 13 15 15 14 16 15 14 13 9 8 9 7 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 7 6 5 4 4 5 6 8 9 10 11 13 18 21 20 16 13 11 11 10 9 8 7 6 7 7 7 7 6 6 8 13 17 17 12 7 8 14 25 31 21 10 7 6 5 3 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 6 7 7 7 6 4 4 5 5 5 4 3 3 4 5 5 5 5 5 4 3 2 2 2 2 2 2 3 4 4 5 5 5 4 4 2 2 1 1 1 1 0 0 1 1 2 1 2 2 3 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 7 7 8 10 11 9 9 13 15 9 -6 -15 -10 1 6 6 8 7 5 2 1 1 3 5 7 9 9 8 8 8 7 7 6 6 8 12 13 9 8 8 8 5 5 9 7 3 6 12 9 6 5 7 8 4 3 5 5 5 6 5 3 2 1 -0 1 1 2 4 4 5 6 6 7 8 9 9 8 8 12 12 6 5 8 6 -0 2 2 -3 -1 3 8 16 15 8 2 -5 -5 -1 5 10 7 8 14 10 4 4 4 3 3 3 4 4 5 5 5 5 4 4 3 3 3 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 1 0 0 2 5 5 5 4 5 5 6 7 8 8 8 6 6 9 12 14 13 12 12 12 13 10 11 11 10 11 11 10 10 8 7 6 6 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 4 4 3 3 3 4 5 5 5 6 6 5 5 5 5 4 4 4 4 5 5 5 4 4 4 5 6 6 6 5 4 4 4 5 7 8 9 10 12 17 21 20 16 13 11 10 9 8 7 7 7 8 8 8 9 8 7 8 14 23 26 17 5 3 8 18 21 15 12 10 8 6 4 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 6 6 6 6 7 6 7 7 7 7 7 7 7 8 7 7 6 6 6 7 7 8 8 6 5 5 6 5 4 3 3 3 4 4 5 5 5 5 4 3 3 2 2 3 3 3 3 3 3 4 5 6 5 4 3 2 1 1 1 1 1 2 2 2 2 1 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 3 2 3 2 2 3 3 3 3 3 3 3 3 4 4 3 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 6 6 6 6 6 7 11 14 10 4 1 -5 -2 -3 -12 -8 3 6 6 8 9 6 3 1 1 3 5 7 9 9 8 7 7 7 7 6 7 10 11 10 7 6 6 9 5 6 10 8 -0 3 12 15 15 8 5 4 3 6 7 5 4 5 4 2 2 1 1 2 2 3 4 5 6 7 7 7 7 8 8 9 10 14 12 2 5 8 5 2 4 5 5 8 13 17 18 16 8 2 -4 -5 1 10 16 11 8 11 8 5 4 4 4 3 3 4 4 5 6 5 5 5 4 4 4 4 4 4 5 6 6 5 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 4 4 3 3 3 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 3 2 1 0 1 4 6 6 5 4 4 4 5 5 6 7 8 7 5 5 5 5 6 8 10 10 9 6 4 4 3 5 5 5 7 7 6 6 6 6 6 5 4 4 5 4 4 4 4 4 3 3 2 2 3 5 5 5 4 5 4 3 3 3 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 4 4 5 7 8 8 9 11 15 17 17 15 13 11 9 8 8 8 8 8 10 10 10 11 10 7 6 12 23 26 16 6 2 4 7 7 7 10 11 10 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 4 6 7 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 7 5 5 6 6 6 5 3 2 3 4 4 5 5 5 5 4 3 3 2 2 3 4 4 4 3 3 4 5 7 6 5 3 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 8 18 25 19 9 -3 -17 -14 -4 -4 1 8 10 9 10 11 8 4 2 1 2 4 7 8 9 8 6 6 6 6 8 10 10 8 7 6 3 7 10 3 5 12 11 1 3 9 16 18 10 3 -0 1 5 7 6 5 3 1 1 2 3 3 4 4 5 5 5 5 7 7 7 7 6 6 8 10 15 11 -1 5 8 4 6 5 6 12 20 22 18 16 17 10 3 -3 -4 5 15 17 9 8 11 7 4 5 5 4 4 4 3 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 5 6 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 3 3 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 5 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 3 1 1 3 5 6 6 5 4 4 3 4 4 4 6 8 9 7 5 4 2 2 4 7 9 8 5 2 2 3 4 5 5 6 6 6 7 6 6 6 5 4 5 5 4 5 4 4 4 3 2 1 0 0 1 3 4 5 5 4 3 3 4 4 4 5 5 6 6 6 6 6 6 5 5 5 6 5 5 5 4 4 4 4 5 6 5 5 5 5 4 5 6 6 7 8 9 11 13 14 14 13 11 9 8 8 9 9 10 11 12 13 12 10 7 6 9 15 16 11 5 3 4 4 3 3 5 8 9 8 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 6 7 6 6 7 8 7 7 7 6 6 5 5 5 6 6 6 7 7 8 8 9 9 8 5 4 5 6 7 7 5 4 3 3 3 4 5 6 6 5 4 4 3 3 3 4 5 6 5 4 4 5 6 7 7 6 4 4 4 4 3 3 3 3 3 2 2 2 2 3 3 3 2 2 2 2 2 1 1 1 1 2 2 2 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 5 4 4 5 6 7 6 7 15 27 32 28 21 5 -17 -19 -6 2 6 11 13 13 13 13 10 6 2 2 3 5 6 8 9 8 5 4 5 6 8 9 9 8 7 4 1 5 12 9 3 11 13 4 3 6 12 13 9 4 -1 2 6 8 8 5 1 -1 0 2 4 5 5 6 6 5 5 6 7 8 6 6 6 5 6 10 16 10 0 4 6 5 8 6 9 19 24 19 13 17 23 15 3 -4 -3 9 18 14 7 9 12 8 4 5 5 4 4 4 3 3 4 5 5 5 5 5 4 4 4 4 5 5 4 5 5 6 6 5 5 4 4 4 5 4 5 4 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 3 4 4 4 5 6 5 5 5 5 4 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 6 5 5 4 3 2 1 3 4 6 6 6 4 4 4 4 4 3 4 7 9 9 7 4 2 2 2 5 9 9 7 3 2 4 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 3 3 2 1 -1 -3 -5 -3 1 4 4 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 6 5 5 5 5 4 5 6 7 7 8 8 10 11 12 13 12 10 9 9 9 10 11 12 13 13 12 10 7 6 6 7 7 6 5 4 5 5 3 2 3 5 6 6 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 nan nan
nan 4 5 5 6 6 5 5 5 5 5 4 4 4 3 3 4 3 3 4 5 6 7 8 9 9 9 7 5 4 3 5 7 8 7 7 5 4 4 4 5 6 6 5 5 5 4 3 3 4 5 7 9 8 7 6 5 6 7 7 7 6 6 5 5 4 4 3 3 3 2 3 3 3 3 3 2 2 2 1 1 1 1 1 2 2 2 2 3 2 2 2 2 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 4 4 5 6 6 5 4 4 4 6 7 8 14 23 26 26 25 23 11 -9 -17 -7 2 7 11 14 16 15 15 12 7 4 2 3 4 6 8 8 6 5 4 4 5 5 5 6 8 9 9 3 -3 -0 7 8 11 10 4 2 5 8 7 6 6 3 3 6 8 7 5 2 -0 1 3 6 6 6 6 5 4 5 6 7 6 6 6 7 7 6 11 13 6 5 5 4 7 7 5 13 22 19 11 14 26 28 17 3 -4 -1 11 17 11 6 10 13 9 3 5 5 4 4 4 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 5 5 6 5 5 4 4 3 2 2 4 5 6 5 4 4 4 4 4 4 4 5 8 10 9 5 2 1 1 3 7 9 9 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 4 3 2 2 2 3 3 0 -7 -11 -7 -2 2 3 3 4 4 4 4 4 4 4 5 6 6 6 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 6 5 5 5 4 4 5 6 7 7 7 7 8 9 11 11 10 9 9 9 9 10 11 12 13 11 9 7 7 6 6 4 4 5 5 6 6 5 3 4 4 5 6 6 6 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
nan 6 6 6 5 5 3 3 2 2 2 2 1 2 2 2 2 2 2 2 3 4 6 7 9 9 9 8 6 4 3 3 5 7 9 9 7 5 5 4 5 5 6 6 6 5 5 4 4 3 3 6 9 12 12 9 6 5 6 7 8 8 8 7 6 5 5 4 3 3 3 3 3 3 3 2 2 1 1 1 1 1 2 2 2 2 2 3 3 3 3 2 2 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 6 7 6 4 4 5 6 9 15 22 20 14 16 19 12 3 -8 -13 -5 3 7 11 15 16 15 15 13 9 5 3 3 4 6 7 8 6 5 3 4 4 2 2 4 5 7 10 9 -1 -9 -5 3 8 7 5 5 6 6 5 3 7 7 5 5 6 6 5 3 1 2 5 7 7 7 5 2 2 4 6 6 5 6 7 6 6 6 10 8 3 6 7 5 8 5 1 10 17 12 9 22 34 28 14 3 -2 4 14 14 7 6 9 12 8 3 4 4 5 5 4 3 3 4 5 5 5 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 5 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 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 7 9 9 5 2 1 1 2 4 7 9 9 9 8 7 7 7 7 7 7 6 6 6 5 6 5 6 6 6 5 5 4 3 2 2 4 8 10 4 -9 -11 -6 -1 3 3 4 4 4 4 3 3 4 4 5 6 6 5 4 5 6 5 5 6 7 5 2 3 5 4 4 5 5 5 5 5 4 4 4 5 7 8 7 7 7 8 8 8 8 7 7 7 7 8 9 10 11 11 10 9 8 7 7 7 6 7 6 5 6 5 4 4 4 5 6 7 6 4 5 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 7 6 4 2 2 1 1 1 1 0 0 1 1 1 1 1 1 2 2 4 6 7 8 7 7 6 5 3 3 4 6 8 9 9 7 6 5 5 5 6 6 6 6 5 5 5 4 3 4 8 11 12 10 7 6 6 7 8 9 9 9 8 6 5 4 3 3 3 3 3 3 2 2 2 1 0 1 1 2 2 3 3 3 3 4 4 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 5 5 5 4 4 5 5 5 5 5 6 7 8 7 6 6 8 10 16 22 20 8 3 11 17 -1 -13 -8 -4 2 5 7 11 15 15 14 14 14 11 7 4 4 4 5 6 7 7 6 7 6 3 3 4 6 6 3 3 5 8 9 4 -1 1 5 7 7 6 6 4 4 7 8 6 6 6 5 4 3 2 3 5 7 6 5 1 -1 1 4 6 6 6 6 7 5 5 7 9 7 3 6 7 7 9 2 -3 5 13 13 19 31 34 23 10 1 0 8 14 10 5 6 10 14 10 3 4 4 4 5 5 4 3 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 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 4 4 5 5 6 5 6 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 7 5 2 1 2 3 4 5 7 9 9 9 8 7 7 7 7 8 8 7 6 5 5 4 5 5 6 5 4 4 3 3 3 5 9 15 16 8 -1 -2 1 3 4 4 5 5 4 3 3 3 4 5 6 6 5 4 3 4 5 5 5 7 7 3 2 4 4 4 4 5 5 6 5 5 4 4 4 6 7 7 7 7 7 7 6 5 4 4 5 6 7 8 9 9 10 10 10 9 8 9 9 9 9 9 8 7 6 5 5 5 5 6 6 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 8 8 7 6 4 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 1 2 3 5 5 5 6 6 5 4 2 3 5 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 4 4 5 7 9 9 7 7 7 8 9 10 10 9 8 6 5 4 3 3 3 3 3 2 2 2 1 0 0 1 1 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 5 4 5 5 4 5 5 5 6 5 7 9 12 11 10 11 15 18 22 21 11 -1 -1 9 13 -6 -17 -4 4 5 6 8 12 15 15 13 13 14 12 8 5 4 4 5 6 7 7 8 10 8 5 7 7 9 10 6 5 5 4 7 10 8 4 5 7 7 6 5 5 6 7 8 7 6 5 4 4 3 3 4 4 5 5 3 -1 -0 3 5 6 7 7 7 7 6 7 7 7 6 5 7 7 8 9 2 -1 8 14 18 27 32 27 16 8 2 4 10 11 7 4 6 12 16 10 3 4 5 4 5 6 5 4 4 4 5 6 7 7 6 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 5 4 4 3 3 4 4 4 4 4 3 3 3 4 4 5 5 4 3 3 3 4 4 4 5 7 8 7 6 6 6 6 7 7 8 7 6 4 4 4 4 5 4 3 3 3 3 4 7 7 6 9 16 17 9 3 3 5 5 5 6 6 5 4 3 3 4 4 5 5 6 6 2 1 4 4 5 7 9 6 3 4 5 4 4 5 5 5 5 5 4 4 4 5 5 5 6 7 7 8 7 6 5 4 4 4 6 6 6 7 7 7 7 7 8 9 9 10 13 14 14 11 7 5 4 4 5 5 4 3 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 6 5 5 5 6 6 7 8 7 5 4 4 3 1 1 -0 -0 0 1 2 4 4 4 4 5 5 4 3 3 5 6 7 6 5 5 6 6 6 6 6 6 7 7 7 8 7 6 5 4 5 6 6 6 6 8 9 11 12 11 9 7 6 5 4 4 4 4 4 3 2 2 1 0 -0 1 1 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 5 5 5 5 6 8 14 18 17 17 18 20 23 21 15 4 -3 -1 7 7 -2 -5 1 6 6 7 9 12 15 15 15 14 15 13 9 6 5 4 4 5 6 8 9 8 8 9 9 6 7 13 10 10 13 9 1 2 7 8 8 7 7 7 5 5 7 7 7 6 6 5 4 4 4 5 4 2 3 5 3 1 2 4 5 8 9 10 9 7 7 8 7 5 6 6 6 7 9 7 4 2 7 10 17 25 25 18 11 7 4 6 8 8 5 5 7 11 14 9 3 4 5 4 5 6 5 4 4 4 5 6 7 7 6 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 4 4 5 5 5 6 6 6 5 5 4 5 4 4 4 4 5 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 4 4 4 5 6 7 6 4 4 4 4 5 5 5 4 5 4 4 4 4 4 3 3 2 2 2 5 13 13 4 -1 6 13 10 4 5 7 7 7 7 7 5 4 3 3 4 4 4 4 6 8 4 -0 3 4 5 5 7 8 5 5 6 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 7 8 9 9 8 7 4 4 5 6 5 5 5 4 5 5 6 7 8 9 14 21 22 16 9 5 4 4 4 5 5 4 3 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 5 6 7 7 6 6 7 7 8 9 9 10 10 8 8 7 5 3 1 -0 -0 1 2 3 4 4 3 4 5 4 4 4 6 7 7 5 4 4 5 5 5 5 6 6 7 7 8 8 8 8 6 5 5 5 4 4 5 6 8 10 12 11 10 8 6 5 5 5 5 5 4 3 3 2 1 1 0 1 2 2 2 3 3 4 4 4 3 3 4 3 3 3 3 4 4 5 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 6 10 18 22 19 20 20 17 16 15 12 5 -1 1 4 3 1 3 4 5 6 8 9 11 14 15 16 16 16 13 10 7 5 3 4 5 4 5 7 6 3 4 6 5 5 10 10 7 13 16 10 5 4 6 8 7 8 8 5 5 6 6 5 6 6 5 3 3 5 6 5 2 2 4 4 3 4 5 7 10 11 9 7 8 10 9 6 5 6 5 5 6 8 6 6 9 7 5 14 21 18 12 8 5 4 5 6 6 5 6 8 14 16 8 3 5 5 4 5 5 5 4 4 4 5 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 4 5 5 5 4 5 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 4 4 5 4 5 5 4 3 3 3 3 4 3 3 3 4 4 4 4 3 3 3 4 5 5 5 6 6 6 4 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 3 3 3 7 18 21 6 -5 -4 2 7 7 8 10 10 9 8 7 5 4 3 3 3 4 4 4 4 6 6 3 3 4 5 5 5 6 6 6 6 5 5 4 5 5 5 5 5 4 4 4 4 3 3 5 5 7 9 11 11 10 9 7 6 6 5 5 5 4 4 4 4 6 7 7 10 19 25 20 11 5 4 5 6 6 6 6 5 2 2 3 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 7 7 7 7 7 7 7 8 9 10 10 10 11 11 8 4 1 -0 -0 1 2 3 4 4 4 5 5 6 6 7 8 6 4 3 3 4 5 5 4 4 5 6 6 7 8 9 9 7 6 5 5 4 4 3 4 5 7 9 10 11 10 8 7 5 5 5 6 6 4 3 2 1 0 1 2 2 3 2 2 3 4 4 4 3 3 3 4 4 4 4 4 5 6 5 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 5 5 5 6 8 12 17 18 16 14 12 11 10 10 12 7 -1 -1 1 2 2 4 5 6 6 8 9 10 12 15 17 18 16 13 9 6 4 2 3 6 5 3 3 3 0 -0 3 5 4 2 2 4 6 7 10 11 9 7 7 7 9 9 6 7 7 6 7 7 6 5 4 3 4 5 5 2 1 3 4 4 5 6 8 10 9 8 7 11 14 11 8 8 6 5 5 6 7 6 6 17 16 11 15 17 12 5 4 4 3 4 6 6 5 7 9 13 14 7 3 5 6 5 5 5 5 5 4 4 4 5 6 7 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 4 5 6 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 5 5 5 6 6 5 4 4 3 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 7 17 25 14 -1 -4 -3 -1 6 11 12 12 11 10 7 5 4 3 3 3 3 3 3 3 3 4 4 3 4 4 5 5 5 5 5 6 5 4 4 5 5 5 5 5 5 5 5 4 3 3 3 4 6 7 9 12 12 12 11 9 8 7 7 6 5 5 5 4 5 7 7 8 12 17 17 12 8 6 5 6 7 8 8 7 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 6 6 6 6 6 5 5 5 7 8 9 11 13 13 10 6 2 0 1 1 2 3 4 4 5 5 7 9 9 8 6 4 3 3 3 5 6 5 4 3 4 5 6 7 8 8 8 7 6 5 4 4 4 4 4 3 5 7 9 11 11 10 8 6 6 6 7 6 3 2 0 -0 0 2 2 3 2 2 3 3 4 4 4 4 4 4 5 5 5 5 6 6 5 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 3 3 3 4 4 4 4 5 5 5 8 12 16 17 13 10 7 6 7 10 10 8 1 -8 -6 0 3 3 4 5 5 6 7 9 10 11 14 17 18 15 11 6 2 1 2 3 7 7 5 4 4 3 3 4 5 4 1 2 5 4 4 6 7 8 8 6 5 8 6 5 6 8 8 10 9 6 5 6 3 1 3 5 3 3 3 4 4 5 6 7 7 7 7 8 12 12 10 9 9 6 6 7 8 9 6 9 21 21 19 18 14 5 -3 0 4 2 5 9 8 7 8 9 9 9 6 3 5 6 5 5 5 5 5 5 4 5 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 3 3 3 3 4 4 5 5 5 5 5 4 3 3 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 5 5 4 3 3 3 3 3 3 2 3 3 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 5 6 6 6 15 25 18 7 1 -3 -4 3 11 13 14 13 11 7 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 4 4 3 3 4 5 6 7 9 11 12 11 10 9 9 9 7 6 6 7 6 6 7 8 8 7 7 8 9 9 7 7 7 8 8 9 8 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 5 5 7 7 6 4 4 4 6 7 9 12 14 14 12 8 4 2 2 2 3 4 4 4 5 7 9 8 7 5 4 4 4 4 6 7 6 5 4 4 4 6 6 7 7 7 6 6 5 5 5 5 5 4 3 2 4 6 9 11 12 10 8 6 6 6 6 4 1 0 -0 1 2 2 2 2 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 4 4 3 4 4 5 5 6 12 18 21 19 13 7 5 5 7 11 11 2 -10 -16 -8 0 3 3 3 4 5 6 7 9 10 11 13 16 17 13 9 4 -1 -2 1 3 5 5 5 5 4 4 7 9 10 9 6 4 7 8 7 8 6 6 7 5 4 4 3 3 6 7 8 7 6 6 6 5 3 0 2 3 4 4 4 4 4 5 5 6 5 6 6 6 6 5 6 7 6 5 7 8 9 9 10 14 18 21 22 19 11 -1 -6 1 6 5 9 12 10 8 8 8 9 9 7 4 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 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 4 4 3 3 4 5 6 5 4 4 3 3 3 4 5 6 7 7 6 5 4 4 3 3 4 4 4 5 5 5 6 6 6 5 5 6 6 7 6 6 5 5 5 5 6 6 5 4 4 4 4 4 5 4 4 3 3 3 2 3 2 3 3 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 5 6 6 6 6 12 21 19 11 4 -1 -2 3 8 11 13 14 12 9 6 5 4 3 3 4 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 6 7 8 10 11 10 10 10 9 7 6 7 9 9 8 8 8 7 5 5 4 5 7 7 7 7 7 8 8 9 10 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 3 4 3 4 6 7 6 5 4 3 4 5 7 8 11 13 15 13 9 6 4 4 4 5 5 5 5 7 8 6 4 3 4 5 5 5 6 7 8 7 6 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 4 2 3 5 8 10 10 8 6 5 5 5 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 5 5 5 6 5 5 5 4 3 3 3 3 3 3 2 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 7 14 19 18 15 10 7 6 6 7 11 13 1 -15 -16 -5 1 3 3 3 4 5 6 7 8 10 12 13 14 13 11 6 3 -1 -3 1 5 5 4 4 4 5 4 5 8 14 18 11 2 3 8 11 11 10 10 8 6 4 1 0 3 7 7 5 3 2 4 5 5 3 2 2 4 6 6 4 5 5 5 6 5 3 4 4 4 2 2 5 6 3 3 5 7 8 8 12 14 15 21 24 18 8 -4 -4 6 10 11 13 13 10 9 9 8 9 10 7 4 4 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 6 6 6 5 4 3 3 3 4 4 5 6 6 6 5 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 6 6 10 17 20 13 3 0 1 4 6 8 10 12 12 10 8 5 5 4 4 5 6 7 6 5 5 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 5 5 7 8 9 10 10 9 7 6 6 7 9 11 10 9 9 7 5 5 4 3 4 6 6 6 6 5 6 8 9 10 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 0 0 1 2 2 2 4 6 7 6 4 3 4 5 6 6 8 9 12 13 12 11 10 10 10 9 7 6 6 7 7 6 3 2 3 4 5 5 6 6 7 8 8 8 8 6 5 5 5 5 4 4 5 5 6 8 8 8 7 6 4 3 3 4 6 7 7 6 5 5 6 6 6 7 7 6 5 4 4 4 4 5 5 4 3 3 4 5 5 5 5 5 5 3 2 2 2 2 3 3 2 3 3 3 3 4 4 4 4 3 3 3 3 4 3 4 4 4 5 5 5 10 14 13 11 9 7 6 5 7 12 15 5 -11 -9 -1 2 2 3 4 5 6 6 6 8 10 12 13 13 11 8 5 1 -2 -1 3 6 5 5 7 6 6 6 3 1 8 17 15 6 1 5 9 11 11 14 10 8 5 2 1 7 9 7 5 3 2 2 3 4 5 4 5 6 7 6 5 5 5 5 7 5 3 4 5 5 6 7 7 5 3 4 5 5 5 8 9 11 17 22 23 16 5 -4 1 12 15 14 13 11 9 8 8 8 9 10 7 4 4 6 6 6 6 4 5 5 5 5 5 6 6 6 6 6 6 7 7 8 7 6 6 6 5 5 5 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 4 3 3 5 6 7 6 5 5 4 3 3 4 4 4 4 4 5 5 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 6 6 6 5 5 4 5 5 4 4 4 4 4 3 3 2 2 2 3 3 4 5 6 5 5 4 4 4 3 2 2 2 0 0 -0 -0 1 3 4 5 5 5 6 6 6 6 5 5 5 5 6 6 6 8 14 20 13 0 -1 3 4 5 6 8 10 10 10 8 6 5 5 5 6 7 8 7 6 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 5 6 7 8 9 8 7 5 5 6 8 10 10 11 10 9 6 5 4 3 2 4 5 5 5 4 4 5 6 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 1 0 -0 -0 1 3 5 7 6 5 4 3 4 5 6 7 7 8 10 11 13 15 17 17 14 9 5 3 5 7 7 6 3 2 3 4 5 5 4 5 6 8 8 7 6 4 4 4 4 4 3 4 6 8 9 9 9 8 7 6 5 4 3 3 4 5 6 6 6 6 7 7 8 7 6 6 6 5 6 6 7 6 4 3 3 3 4 5 5 5 5 5 4 3 2 2 3 3 3 3 2 3 3 3 4 4 4 4 3 3 3 2 3 4 4 4 5 5 4 4 7 11 11 11 9 7 6 5 7 14 14 5 -4 -2 2 3 3 3 4 5 5 6 7 8 10 12 12 11 10 7 3 1 -0 1 5 7 6 7 9 5 8 11 7 1 2 8 12 8 3 3 5 7 8 10 9 9 6 4 5 12 9 5 4 4 4 2 2 4 6 7 7 7 6 5 5 4 4 4 6 6 5 7 10 13 14 12 9 5 4 6 6 5 5 5 2 7 16 20 21 13 4 -0 6 16 17 14 11 9 8 7 8 9 9 9 7 4 4 6 7 6 6 5 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 6 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 4 5 5 5 4 4 4 6 6 7 6 6 5 4 4 3 3 4 4 4 4 5 5 5 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 3 3 2 1 2 3 3 5 6 6 6 4 4 4 4 3 1 -2 -5 -10 -11 -7 -8 -7 -3 1 4 5 5 6 6 7 6 6 6 6 6 6 6 6 7 12 18 11 0 0 3 4 4 5 6 7 8 9 7 6 5 4 6 7 8 8 7 6 5 6 6 6 5 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 5 5 5 5 5 6 6 7 7 5 5 5 7 9 10 10 11 11 9 8 6 3 2 3 4 5 4 4 3 3 3 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 2 -0 -1 0 2 4 5 5 5 4 3 3 4 6 6 6 6 7 10 13 18 20 19 14 8 3 1 2 5 7 7 5 3 2 3 4 4 3 3 4 5 6 5 4 3 3 4 3 3 3 3 4 6 8 9 7 6 6 6 6 5 4 3 2 3 4 5 6 6 6 6 5 5 5 5 5 6 7 7 7 7 5 4 3 3 4 5 5 5 5 5 5 4 3 3 3 4 3 3 2 2 2 3 4 4 3 3 3 3 2 2 3 3 4 5 5 4 4 4 5 9 13 12 10 8 6 6 9 13 9 1 -0 2 3 3 4 4 4 5 5 5 6 7 10 12 12 10 8 4 2 3 3 3 4 6 6 8 7 3 4 7 11 9 5 4 5 5 5 5 4 1 2 4 8 7 6 6 10 12 7 3 2 2 3 3 5 6 7 7 6 6 4 4 3 3 5 6 8 9 9 11 11 9 8 9 10 9 8 7 5 3 6 4 1 8 14 19 19 12 4 4 11 17 17 13 9 7 7 8 8 8 9 10 9 5 5 7 6 6 6 5 4 5 5 6 6 6 5 5 6 6 7 7 7 7 6 5 5 6 5 5 4 4 5 5 5 4 5 5 5 6 6 6 6 7 6 6 5 5 5 4 5 5 4 5 5 6 7 7 7 6 5 5 4 4 4 4 4 4 5 6 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 3 3 3 2 2 2 3 4 5 6 6 5 4 3 4 3 3 2 -3 -16 -32 -27 -13 -11 -10 -7 -4 0 4 5 5 6 7 6 6 6 6 6 6 6 7 7 10 13 9 3 3 3 3 3 4 4 4 6 7 7 7 6 5 6 7 8 8 7 6 6 7 7 6 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 6 5 5 4 4 5 5 5 5 5 6 8 9 9 10 11 12 11 9 6 4 2 3 4 5 5 4 3 3 3 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 7 3 1 1 1 2 3 3 4 3 2 2 3 4 5 5 5 6 9 13 17 18 14 10 7 3 1 -0 1 4 6 6 4 2 2 2 2 2 1 2 2 2 2 2 1 2 4 4 3 3 2 2 4 5 5 4 4 4 5 5 5 4 3 3 2 3 4 5 5 4 3 3 3 3 4 4 5 6 6 7 6 5 4 4 3 4 5 6 6 6 5 5 4 3 3 3 4 4 3 3 2 2 2 3 3 3 3 3 3 2 3 3 3 4 4 5 4 4 4 3 10 16 14 10 8 6 8 13 9 1 -1 2 3 3 4 4 5 5 5 6 5 5 7 10 14 15 9 5 3 2 3 4 3 4 5 6 8 6 5 5 11 14 13 7 3 3 5 6 6 4 3 5 7 9 8 6 7 10 5 3 2 2 2 3 4 7 7 6 6 6 4 3 4 4 3 6 8 11 11 10 10 7 -2 -7 2 11 11 9 9 5 2 4 6 8 11 15 19 17 11 4 7 14 18 16 12 8 6 6 7 7 7 9 10 7 3 3 5 6 7 6 5 5 5 5 6 6 6 5 5 6 6 6 7 7 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 7 7 6 6 5 5 5 5 5 5 5 4 5 6 7 7 7 6 5 4 4 3 4 4 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 3 2 2 3 3 4 5 6 6 5 4 3 3 3 3 3 -0 -13 -29 -26 -11 -4 -3 -3 -3 -0 4 5 5 6 6 6 6 6 7 5 5 6 5 6 7 8 7 6 5 4 3 3 3 4 4 4 5 7 8 8 7 7 8 8 7 6 6 6 8 8 8 6 6 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 7 8 10 12 13 12 10 7 4 2 3 5 5 5 5 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 11 11 8 6 4 2 0 1 2 2 2 2 1 2 3 3 3 4 6 9 13 15 13 9 7 6 5 3 0 -1 1 4 6 5 2 1 1 1 1 -0 0 1 1 1 1 1 2 5 6 5 3 1 1 1 2 3 3 3 3 4 4 5 4 4 4 4 3 3 4 4 3 3 4 4 4 3 3 4 4 4 5 6 6 5 4 4 4 5 6 6 6 5 5 4 4 3 4 4 4 4 3 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 4 3 4 4 5 12 17 14 11 9 7 11 18 9 -2 -0 3 3 3 4 4 4 5 6 6 5 4 7 13 20 21 11 3 3 3 3 4 4 4 4 5 8 10 10 5 10 19 18 8 2 3 6 7 7 6 5 8 15 15 11 8 8 6 1 2 2 2 1 3 4 4 4 3 4 5 5 5 6 6 6 6 6 5 4 3 3 3 -3 -5 1 7 6 5 11 16 14 11 11 14 14 16 17 14 8 4 9 17 18 15 10 7 6 7 7 7 7 10 9 5 2 1 3 6 7 6 6 5 5 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 6 7 6 6 5 5 4 4 4 4 4 4 4 5 6 7 8 7 6 5 6 6 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 4 4 5 6 5 4 3 3 3 3 3 3 3 1 -4 -7 -3 3 4 2 0 2 4 5 5 6 6 6 7 6 6 6 5 4 5 5 6 6 6 6 6 5 5 4 3 4 4 4 4 6 6 8 9 9 9 8 7 6 6 6 7 9 10 9 7 6 5 4 5 6 6 5 4 4 4 4 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 7 9 11 13 14 13 10 7 5 4 4 4 4 5 6 6 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 9 10 9 7 3 1 0 1 1 1 1 1 1 1 1 2 2 4 6 11 14 10 6 6 6 5 4 1 -0 1 4 6 6 3 2 1 1 -0 -0 -0 0 1 2 2 3 5 8 8 6 3 1 1 1 2 3 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 5 5 6 5 5 4 4 4 4 5 6 6 5 5 4 4 5 6 6 6 5 5 4 4 3 3 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 6 12 16 14 12 10 10 16 19 7 0 1 2 3 3 4 4 4 5 6 6 5 5 11 21 26 22 10 4 4 4 4 4 5 5 4 5 7 14 13 2 0 13 17 10 2 3 6 7 7 7 4 6 14 15 11 9 7 5 3 3 3 1 1 4 5 0 -2 -1 2 4 7 8 8 8 6 4 1 -2 -3 -2 -2 -1 0 0 4 4 -1 0 15 30 27 18 17 18 17 17 15 10 5 5 11 17 17 12 8 7 7 6 6 6 8 10 10 6 3 1 1 5 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 6 7 6 5 5 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 5 5 4 4 4 4 5 4 4 3 3 4 4 5 6 5 4 3 3 4 3 3 3 4 7 12 7 3 4 4 3 -0 -2 1 4 5 6 6 6 6 6 6 6 5 4 5 5 6 6 6 6 6 6 6 5 3 3 3 4 5 5 5 6 8 9 9 8 6 5 4 5 6 8 10 11 10 8 6 5 5 6 6 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 5 5 6 6 7 7 8 10 13 14 14 12 9 7 5 4 3 4 5 6 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 9 10 9 5 2 1 1 1 2 2 1 1 1 1 1 2 1 3 10 15 11 6 5 5 6 5 3 3 3 5 6 6 6 4 3 2 1 1 1 2 3 4 5 6 8 9 8 5 2 1 1 2 3 4 5 5 5 5 6 6 4 4 4 5 5 4 5 6 6 7 7 7 7 6 6 5 5 5 6 7 7 7 6 5 5 6 7 8 7 6 5 5 4 4 3 4 5 5 5 4 4 3 3 2 2 3 4 4 5 5 5 4 4 4 5 5 5 5 7 12 15 14 12 11 15 17 9 -0 -0 1 2 3 4 4 4 4 5 7 7 5 8 16 24 25 17 9 7 6 5 5 5 5 5 6 7 10 13 10 2 0 6 10 8 3 3 6 7 7 7 6 6 10 10 8 8 6 5 5 4 2 2 4 6 6 -0 -2 -1 3 7 9 10 10 10 9 7 4 0 0 1 0 1 4 6 8 5 -1 2 18 30 23 15 17 20 19 17 13 8 4 6 13 16 14 10 8 7 7 6 5 5 8 10 8 6 5 3 2 4 6 7 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 5 5 6 5 6 5 5 5 5 5 5 5 6 6 6 5 4 4 4 5 5 5 5 5 5 5 6 6 5 4 3 3 4 4 4 4 4 4 5 5 5 7 7 5 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 8 7 7 7 5 5 4 4 4 4 5 5 5 4 4 4 4 5 6 5 4 3 4 4 4 3 4 8 13 14 8 5 4 3 2 -0 -3 -4 1 5 6 6 6 6 7 6 6 5 5 5 5 6 6 7 7 7 7 7 6 4 1 2 4 5 5 5 5 6 7 8 7 6 4 4 3 4 6 8 11 12 11 9 6 5 6 5 5 5 5 5 5 5 4 4 5 5 6 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 5 5 7 7 7 7 9 11 13 14 13 11 8 7 5 4 4 5 6 6 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 7 9 10 8 5 3 2 2 2 2 1 1 1 1 2 1 0 3 11 18 14 6 3 4 5 5 5 5 6 6 6 6 7 7 6 5 4 4 4 5 6 8 8 8 8 7 5 3 2 1 1 3 4 5 7 6 6 6 7 6 5 3 3 4 5 5 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 7 8 10 9 8 7 7 6 5 5 5 6 6 6 5 5 4 3 3 3 3 4 5 6 7 5 4 4 4 4 5 5 6 8 12 15 14 12 12 17 13 1 -3 -4 1 3 4 4 4 4 5 5 6 7 6 9 15 19 17 13 11 9 6 6 5 5 4 5 4 5 6 6 5 4 6 9 8 6 5 4 7 9 10 9 7 8 10 8 7 6 5 5 5 3 2 3 5 4 3 3 2 3 7 10 11 11 11 12 12 11 10 9 8 7 7 7 10 15 18 11 2 4 14 19 14 10 13 17 17 13 10 6 4 7 13 15 13 10 8 8 7 6 4 4 8 10 7 6 6 6 4 4 5 6 6 6 8 8 8 7 7 6 5 5 5 5 4 5 5 6 6 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 3 3 4 4 3 3 3 4 5 5 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 8 8 8 7 6 5 5 5 5 5 6 6 6 5 4 4 5 6 6 5 4 4 4 5 3 2 6 12 15 10 5 4 4 3 2 1 -1 -2 2 5 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 8 6 1 1 4 6 6 6 5 5 6 7 6 5 4 3 3 3 4 6 9 12 13 11 8 6 5 5 5 5 5 6 6 5 4 4 4 5 6 7 7 6 6 5 5 5 5 5 5 5 6 6 6 7 7 6 5 5 6 6 7 7 6 8 10 12 13 14 13 11 9 6 5 5 5 6 6 7 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 7 6 7 7 8 8 7 5 4 3 3 2 1 1 1 1 1 1 2 6 14 20 16 7 3 3 4 5 5 6 7 7 6 7 8 8 8 7 7 8 8 9 9 8 8 7 6 5 3 3 3 3 4 5 6 7 7 7 7 7 7 6 5 4 3 3 4 5 6 7 7 7 5 5 4 5 5 6 6 7 7 7 6 6 6 5 7 8 10 10 9 8 8 8 8 7 6 6 6 7 7 6 6 5 4 4 4 4 5 6 7 6 5 4 4 3 3 4 6 9 12 15 16 13 10 12 14 6 0 -0 -4 2 4 4 4 5 5 5 6 7 7 7 7 10 11 12 12 12 10 8 7 6 4 4 5 2 -2 -1 2 5 7 9 10 9 7 6 6 8 10 13 12 9 11 9 6 4 4 5 5 4 3 4 5 5 3 1 4 5 7 10 11 11 11 12 12 13 12 12 12 12 12 12 10 10 17 24 17 6 3 5 7 9 10 12 11 7 5 7 7 6 8 12 13 12 10 8 7 7 5 3 4 9 10 6 4 6 8 7 5 4 5 6 7 8 9 8 8 7 6 6 5 5 5 4 5 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 3 3 4 5 5 5 5 5 6 5 5 7 7 7 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 6 6 6 7 6 7 7 6 6 5 5 5 6 7 6 5 4 3 3 -2 -2 3 8 8 6 5 4 4 4 4 4 2 -0 2 6 7 7 6 6 6 6 6 5 6 6 5 6 6 7 7 7 7 7 8 9 4 2 4 5 6 6 6 5 6 7 8 5 4 4 3 3 3 5 7 10 11 11 10 8 7 5 5 5 6 6 6 5 4 4 4 5 5 6 7 6 7 6 6 5 5 6 5 5 5 5 6 7 7 7 6 5 6 7 8 7 6 6 8 10 12 13 14 13 11 8 7 7 7 7 7 8 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 6 6 6 7 7 6 6 5 3 2 2 2 2 1 1 2 4 9 16 18 14 7 3 3 3 3 4 6 6 6 5 6 6 7 7 8 9 9 11 11 11 9 6 5 3 3 3 4 6 7 7 7 8 8 7 7 7 7 7 6 5 5 4 3 4 5 6 6 7 6 4 3 3 3 3 4 5 6 6 6 5 5 5 5 7 8 8 7 6 6 6 7 8 7 7 7 7 6 6 7 6 5 5 5 5 5 6 6 6 5 4 4 4 2 2 6 11 17 19 19 14 10 8 12 7 -2 -1 2 1 3 4 4 5 5 5 5 6 7 7 7 5 5 7 9 11 11 10 9 9 6 3 6 7 3 -2 0 7 7 4 3 5 8 8 6 7 8 10 15 15 12 12 8 4 4 5 5 4 3 3 4 4 4 3 4 6 7 9 12 12 13 12 13 14 12 11 12 12 11 14 16 13 7 9 15 15 10 5 0 -0 7 13 12 5 -2 2 12 13 8 8 11 11 11 10 7 6 6 4 3 6 9 8 6 5 5 9 11 8 4 4 6 8 9 10 9 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 6 5 4 3 3 4 4 4 4 4 4 5 5 3 3 4 7 8 6 5 5 5 6 6 7 8 9 8 7 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 5 5 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 6 5 4 3 1 -6 -8 -3 5 6 5 5 5 5 5 5 5 4 -1 -1 6 6 7 7 6 7 7 6 5 5 6 6 5 6 7 7 6 6 7 8 10 6 3 4 5 6 6 6 5 6 8 8 6 5 4 4 3 4 4 5 7 9 11 11 9 8 7 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 7 7 6 6 6 6 5 5 5 5 6 7 7 7 6 6 9 9 7 6 5 6 8 10 13 15 14 13 11 9 9 9 9 9 10 10 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 5 6 7 7 6 5 4 3 3 2 2 2 3 6 10 13 12 8 4 3 2 2 3 3 4 4 4 4 5 5 5 6 7 8 9 10 12 13 11 8 5 4 4 6 7 8 9 9 9 8 7 7 6 6 7 7 7 6 6 5 4 4 4 5 5 5 5 4 3 2 2 2 3 4 4 5 6 5 5 5 6 6 5 4 3 2 2 3 4 5 5 6 6 6 5 6 6 5 5 5 6 5 6 6 7 6 5 4 4 3 2 5 12 21 25 26 19 10 5 5 10 3 -6 -2 2 2 3 5 5 5 5 5 5 6 7 7 7 5 3 3 6 10 10 9 7 7 5 3 7 10 6 -0 3 9 9 5 2 2 5 7 8 8 7 9 12 14 13 10 7 5 6 6 5 3 2 3 4 3 3 4 5 7 9 10 12 12 14 11 17 18 12 9 9 10 10 13 18 14 5 2 4 10 13 11 7 5 9 12 9 1 1 13 23 18 9 8 9 10 11 9 7 5 5 4 4 7 8 7 6 6 8 12 15 10 3 3 6 8 9 10 10 9 7 6 5 5 5 5 5 5 6 5 5 5 6 6 5 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 5 4 4 4 3 3 3 3 3 4 5 4 3 3 6 10 9 6 4 4 5 6 7 8 9 9 8 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 6 7 8 10 10 10 9 9 9 8 8 7 7 7 8 8 7 6 5 4 3 -0 -5 -8 -1 4 5 5 5 6 5 5 5 5 4 3 2 5 6 7 7 7 7 8 7 6 5 5 4 4 5 6 6 6 6 7 8 9 7 3 4 6 6 6 6 6 6 9 8 7 6 5 5 5 5 5 5 5 7 9 11 11 10 9 7 7 7 6 6 6 4 4 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 5 5 6 6 7 7 6 6 8 8 8 7 5 4 6 8 10 12 13 13 12 11 10 9 9 10 11 12 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 8 8 7 6 6 6 7 9 9 7 5 4 4 3 3 3 4 6 8 10 8 5 3 1 1 1 2 3 3 3 3 3 3 4 4 5 6 7 8 8 10 13 14 12 9 6 6 6 6 7 7 8 7 6 5 5 5 5 6 7 7 7 7 6 5 5 4 4 4 3 3 3 3 3 2 2 2 3 4 5 6 6 6 7 7 5 3 0 0 0 0 1 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 4 4 5 5 3 4 10 19 26 27 25 17 8 5 7 5 -2 -6 -2 2 3 4 5 5 5 5 5 5 6 6 6 7 8 4 3 6 9 10 8 6 6 5 3 6 11 9 1 1 5 7 7 5 5 5 7 7 7 7 8 10 11 11 7 7 8 8 6 3 2 2 3 3 3 2 4 6 8 8 10 10 11 11 10 17 17 10 7 7 8 10 14 17 16 12 7 4 9 12 13 13 11 10 11 9 7 16 29 30 19 10 8 9 10 10 9 7 6 5 4 5 8 7 6 6 6 9 13 14 7 1 3 6 8 10 11 10 9 7 6 6 5 5 5 5 5 6 5 5 5 5 6 6 6 6 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 3 3 3 3 3 4 4 3 3 4 8 10 8 5 4 3 4 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 8 8 7 7 7 7 8 10 11 11 11 10 10 9 8 9 8 9 8 8 7 7 6 5 4 3 3 2 0 2 4 5 6 6 6 6 6 5 5 4 3 3 5 6 6 6 7 7 8 10 10 7 5 3 1 2 4 5 6 5 6 8 10 9 4 3 6 7 6 6 6 7 8 8 6 5 6 6 6 6 6 6 4 5 7 9 11 11 10 8 7 7 6 6 5 5 4 4 4 3 3 3 3 3 4 4 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 8 7 5 4 4 5 6 8 9 10 10 9 8 7 7 7 9 12 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 13 12 11 11 9 9 8 9 11 12 10 7 6 4 4 4 4 4 5 7 8 7 5 2 1 1 0 1 2 2 3 3 3 3 4 4 4 5 6 7 7 8 11 14 13 10 8 6 5 5 5 6 5 5 5 4 4 4 4 5 6 8 8 8 8 6 6 5 4 3 3 2 3 3 4 4 3 3 4 4 5 5 6 7 8 7 5 2 1 0 0 0 1 1 1 2 2 3 3 3 3 4 4 4 3 3 4 4 4 4 4 5 6 6 6 9 15 20 23 21 18 15 13 14 12 -0 -6 -4 1 3 4 5 5 5 5 5 5 5 5 5 5 8 10 9 7 8 10 11 9 7 6 5 5 5 8 8 6 3 5 8 8 7 7 6 7 7 7 7 8 10 11 11 8 9 10 7 4 2 2 3 3 2 3 3 5 6 7 9 10 10 11 10 10 12 10 8 7 6 7 11 13 13 14 20 17 9 8 7 8 10 12 12 12 11 14 24 32 27 16 9 8 10 11 10 9 8 7 6 5 7 7 7 6 6 7 12 16 12 3 1 4 8 9 9 10 9 9 7 6 6 5 5 5 5 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 5 5 4 4 4 4 6 8 8 6 5 4 4 5 5 5 5 6 6 6 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 7 8 9 8 7 7 7 7 8 9 11 11 11 11 10 10 9 10 10 10 10 9 8 7 6 6 5 5 6 10 12 8 4 4 5 6 6 6 6 6 6 5 3 0 -1 3 6 6 6 7 6 6 9 15 12 5 2 -1 -1 -0 2 5 6 6 7 9 11 6 2 7 7 7 6 6 7 8 7 6 5 6 6 7 7 7 6 5 5 6 8 9 10 9 8 7 6 5 5 5 4 5 5 5 4 4 4 3 3 3 2 2 3 4 5 5 5 5 5 5 5 5 6 5 5 5 6 7 6 6 5 5 4 5 5 5 6 7 7 6 4 4 5 7 10 12 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 14 15 15 13 12 12 12 11 12 15 17 14 11 8 6 5 5 5 4 5 7 8 7 5 3 2 2 1 1 1 2 2 3 3 4 5 5 4 5 6 7 7 8 9 12 13 9 7 5 4 4 4 5 5 4 4 4 3 3 3 4 5 6 7 8 8 8 7 6 6 5 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 6 5 3 2 1 1 2 2 2 2 1 2 3 3 3 4 4 3 3 3 3 4 3 3 3 5 9 12 10 7 10 15 20 22 18 13 16 22 21 11 -5 -8 -2 3 4 5 5 5 5 5 5 5 5 5 5 8 12 13 12 11 9 9 10 9 7 5 5 6 6 7 7 7 9 9 7 6 9 8 7 7 6 5 5 5 8 11 11 11 10 9 6 2 2 3 3 3 3 3 5 6 6 6 9 11 10 11 10 13 9 5 6 8 8 8 9 10 8 7 11 15 13 4 -1 1 8 11 10 6 8 13 21 24 19 13 9 8 10 11 10 9 8 7 6 6 7 7 7 6 5 8 14 16 10 2 1 6 9 8 9 9 9 8 7 6 6 6 6 5 5 6 6 6 5 5 5 6 6 6 5 5 5 5 4 5 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 7 10 10 9 7 7 7 8 7 6 5 5 4 4 4 5 5 5 5 5 6 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 8 7 7 7 7 8 9 10 11 11 11 11 11 11 10 11 11 11 10 9 7 6 5 5 4 3 5 13 16 9 4 5 6 6 5 5 6 6 7 6 4 1 -1 1 5 6 6 7 6 5 7 13 15 9 5 1 -1 -2 -2 2 6 7 8 8 8 7 5 7 8 7 6 7 8 8 7 6 6 6 7 7 7 8 7 5 5 6 8 9 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 4 3 1 1 1 2 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 7 6 5 5 5 6 6 7 7 5 3 4 6 8 10 11 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 14 13 11 10 11 11 12 14 18 20 18 15 12 10 9 8 7 7 6 7 8 7 6 5 4 3 2 2 3 3 3 3 4 5 5 6 6 6 7 8 10 10 9 10 11 8 6 4 4 5 5 5 5 4 4 3 3 3 3 3 4 5 6 7 8 8 8 8 7 7 6 6 5 5 6 7 7 7 7 6 6 6 6 7 6 4 4 2 2 2 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 2 4 8 14 20 19 10 5 8 13 20 26 23 17 19 23 16 4 -6 -8 0 4 5 5 6 5 5 5 4 4 4 4 9 17 19 16 14 13 10 9 9 9 7 5 5 6 6 5 1 3 9 11 10 9 9 6 5 4 3 2 1 2 6 12 12 12 10 7 4 2 3 4 5 4 4 4 6 6 6 6 8 10 11 11 9 13 10 8 5 7 10 10 8 8 7 3 1 8 19 8 -3 1 7 7 6 7 10 13 18 18 15 10 8 9 10 11 10 8 7 7 6 7 8 7 7 6 5 8 13 14 6 1 3 7 9 8 9 9 9 8 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 4 4 4 4 3 3 4 5 5 5 4 4 4 5 4 3 3 3 6 10 13 14 13 11 10 10 8 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 8 7 7 6 7 8 9 10 11 11 10 10 11 12 12 12 12 12 11 9 7 6 5 4 4 4 2 -0 5 11 7 5 6 7 6 4 3 4 6 7 6 5 5 3 3 5 6 6 6 7 6 6 8 11 11 10 8 5 4 4 3 5 7 9 9 6 6 7 8 7 7 7 7 8 8 7 6 6 7 7 8 8 7 6 5 5 6 8 10 11 10 8 8 7 7 7 7 7 7 6 6 5 6 7 7 6 4 3 2 2 2 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 6 7 7 8 8 8 7 6 4 4 5 7 9 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 10 10 9 8 7 8 9 12 16 17 17 16 16 15 15 13 11 10 9 8 8 8 7 6 6 5 5 5 5 4 4 4 4 5 6 6 6 6 8 11 12 11 9 7 7 7 5 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 5 6 7 7 8 8 8 8 7 7 7 7 8 9 9 9 8 8 7 6 6 6 5 4 2 2 3 4 5 6 6 5 4 4 4 5 4 4 5 4 5 5 5 3 3 5 9 17 26 29 20 8 5 7 10 18 24 28 22 14 10 5 0 -3 -2 3 6 6 6 5 4 4 4 4 4 4 7 12 18 19 16 14 12 11 11 9 8 8 7 5 5 4 -0 -2 2 10 10 9 9 6 4 4 2 1 0 -1 1 6 12 14 11 7 3 1 2 3 4 4 5 5 6 6 7 6 6 7 8 10 10 9 10 10 11 7 6 11 10 7 6 9 6 2 9 20 12 3 7 5 2 8 14 14 15 17 15 13 11 9 9 10 11 10 8 7 6 7 8 8 7 7 6 5 9 12 10 4 1 5 8 9 8 8 9 9 8 7 6 6 6 6 6 5 5 5 5 4 4 5 5 5 6 5 4 4 4 4 4 3 2 3 5 5 5 4 4 4 5 5 3 3 4 6 8 11 12 11 11 10 9 7 6 5 5 5 5 5 6 7 7 7 7 8 8 7 7 7 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 9 7 7 6 6 7 8 10 11 11 10 9 10 12 12 13 12 12 11 9 7 5 4 4 5 4 6 10 6 3 5 6 5 5 6 6 4 1 4 9 9 7 6 7 5 4 5 5 6 6 7 6 6 6 7 8 10 11 10 9 9 7 7 7 8 8 7 7 7 8 7 6 7 7 9 8 6 6 6 7 7 7 7 6 6 5 5 6 8 10 12 12 10 10 10 10 11 11 11 10 9 8 7 6 7 8 8 7 6 6 6 5 5 6 6 6 6 5 5 5 5 4 3 4 4 4 4 4 5 5 6 6 6 7 8 9 9 7 6 5 5 5 7 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 11 10 8 6 6 7 9 10 10 11 13 15 17 17 15 14 12 11 10 10 10 8 7 6 6 5 6 6 5 5 4 4 5 5 5 5 5 8 12 13 10 6 3 3 4 4 4 4 5 6 6 5 5 4 3 3 3 3 4 4 4 5 5 6 6 6 6 7 8 7 7 7 8 8 9 9 9 9 8 8 7 7 6 5 4 3 3 5 6 7 7 7 6 5 5 5 5 6 5 5 5 6 6 5 5 8 12 15 19 23 21 11 3 3 5 9 16 18 21 17 2 -1 -0 0 0 2 5 6 7 5 4 4 4 4 4 6 10 14 16 14 11 10 10 10 11 12 9 7 8 7 5 4 3 2 1 4 9 6 3 3 4 5 6 5 4 2 -0 0 5 12 14 10 4 -1 -2 1 2 3 4 5 6 7 8 8 6 5 5 7 9 11 11 10 10 9 7 7 9 8 4 2 6 7 6 10 13 9 7 10 2 0 13 23 20 17 16 14 11 11 10 9 10 10 9 8 7 6 7 7 7 6 6 6 7 9 10 7 3 3 7 10 9 8 8 8 9 8 7 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 3 2 2 3 5 6 5 4 4 5 5 5 4 3 4 4 5 5 6 7 7 7 6 5 5 5 5 4 5 5 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 6 8 9 11 11 10 9 9 11 12 12 12 12 10 9 7 5 5 5 5 4 3 6 15 14 6 4 6 6 6 6 7 6 4 7 10 8 7 7 6 5 4 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 7 7 6 7 6 6 8 8 7 7 6 6 8 10 8 6 6 7 7 7 7 6 6 5 5 5 6 7 10 12 11 11 11 11 13 14 15 15 14 13 11 9 8 7 7 8 8 8 9 10 10 10 9 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 6 5 5 5 6 7 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 11 12 11 9 7 6 7 7 6 5 5 7 10 12 13 13 12 11 11 11 11 11 10 8 7 6 6 6 6 5 5 4 4 5 5 5 4 4 7 12 13 9 3 0 0 2 3 4 5 5 5 5 5 4 3 3 2 3 3 3 4 4 4 6 7 6 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 6 6 5 6 8 9 9 9 8 7 6 6 6 5 5 6 6 7 6 5 7 14 18 18 16 14 10 6 1 0 4 6 8 11 10 3 -2 -5 -4 -1 0 2 4 7 7 6 5 4 4 4 4 7 14 21 22 18 11 7 6 7 7 8 9 10 9 9 7 4 4 6 8 5 3 5 5 4 3 4 5 6 7 8 6 2 1 4 8 11 9 2 -4 -3 -0 1 2 4 5 6 9 10 8 6 4 5 6 9 13 12 12 12 9 8 9 9 7 2 -2 -3 0 4 6 8 11 12 11 6 4 15 24 21 17 15 13 11 10 10 10 10 10 9 7 6 6 7 6 6 6 6 6 7 9 10 6 3 5 9 10 8 7 7 8 9 8 7 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 3 3 2 2 3 4 6 6 5 5 5 6 6 5 4 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 5 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 8 7 6 5 5 6 8 9 11 11 9 8 8 10 11 11 10 9 8 7 6 4 4 4 4 2 -1 0 8 11 7 5 6 6 6 6 7 7 9 9 7 6 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 7 7 8 7 6 5 7 10 9 7 5 6 7 7 7 6 5 6 6 5 5 6 7 9 11 10 9 9 10 12 14 16 17 16 15 13 11 10 9 8 8 8 8 9 10 11 11 10 8 7 6 6 6 6 6 6 5 5 5 5 5 4 3 3 4 5 5 5 5 5 6 6 5 5 5 6 7 7 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 10 10 9 8 8 8 8 6 4 3 4 5 7 8 10 11 11 10 10 10 11 12 10 9 8 9 8 7 5 5 4 4 5 5 4 4 4 6 10 12 8 4 1 1 2 4 5 6 5 5 5 4 3 2 2 2 3 3 3 4 4 4 6 7 7 5 5 4 4 4 4 5 6 6 6 6 6 6 7 8 8 9 9 8 7 7 8 9 10 10 10 9 9 9 7 6 5 5 6 6 6 5 7 14 24 26 18 12 8 4 1 0 3 6 8 7 5 0 -14 -23 -11 -3 -1 1 3 5 7 7 6 4 4 4 5 8 15 21 23 20 14 8 7 6 6 5 5 5 9 11 11 8 3 2 5 10 7 2 4 6 6 4 5 6 6 8 11 9 5 3 3 5 7 5 0 -3 -3 -0 1 1 3 4 5 8 9 8 6 5 6 6 9 11 12 12 12 9 8 13 14 9 4 -1 -5 -3 2 4 6 11 15 12 9 9 13 16 16 14 13 12 11 10 9 10 9 8 7 6 6 6 6 6 6 6 5 5 6 9 11 7 4 6 9 10 7 6 6 8 8 8 7 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 3 3 3 2 2 3 5 6 6 6 5 6 7 6 4 3 3 4 4 4 3 3 3 3 4 4 3 4 5 5 5 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 7 7 7 6 6 5 5 6 7 9 11 10 8 7 8 9 9 8 8 7 6 5 5 4 3 2 1 -1 -3 -2 2 7 6 5 6 5 6 6 5 5 6 7 6 6 6 6 4 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 6 9 11 8 6 6 6 7 7 7 6 5 6 7 6 5 6 7 9 9 8 8 8 9 10 11 13 14 15 14 14 14 13 13 11 10 9 8 8 8 8 8 9 7 7 6 5 6 6 6 6 6 6 6 6 5 5 4 3 4 4 4 5 5 5 5 6 6 6 6 7 7 8 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 9 9 8 8 8 9 9 9 9 7 5 4 4 4 6 9 11 12 11 9 9 10 12 13 12 11 11 11 9 7 6 5 5 5 5 5 5 4 5 9 10 9 6 3 3 5 6 7 7 6 5 5 3 1 1 1 1 2 3 3 4 4 4 5 6 7 6 5 5 4 3 4 4 5 6 6 5 5 4 4 5 7 8 9 9 8 8 9 8 8 8 8 9 9 9 8 8 8 8 7 6 5 7 10 17 23 20 14 8 6 3 2 3 6 11 14 12 5 -2 -16 -30 -19 -4 -1 1 4 6 7 6 5 4 4 4 8 15 21 20 16 12 9 8 8 8 7 7 6 6 6 9 10 6 3 2 3 8 6 3 4 7 8 7 6 6 6 8 10 9 8 5 4 5 4 2 -1 -2 -1 1 1 1 3 3 4 6 7 5 4 6 7 8 9 10 10 11 11 8 7 11 10 8 6 3 -1 -1 2 3 4 8 11 11 9 10 11 11 13 13 13 12 10 9 9 9 9 8 7 6 6 6 6 6 6 6 5 5 6 9 9 3 2 6 9 9 7 6 6 7 8 8 7 6 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 5 6 7 6 6 6 6 5 3 2 2 4 5 5 4 4 3 3 3 4 4 3 4 5 5 5 4 4 5 6 6 5 5 5 5 5 5 6 6 5 5 6 5 5 5 6 6 6 6 7 8 8 8 7 7 6 6 5 5 5 5 7 9 10 10 8 6 6 7 7 7 6 5 5 5 4 3 2 2 0 -1 -0 1 3 5 5 5 5 5 5 4 4 4 4 6 7 7 7 5 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 6 5 5 8 11 10 7 6 6 7 7 7 7 6 6 6 6 7 6 6 7 8 8 7 6 7 7 7 9 10 11 11 13 14 15 16 16 15 13 12 11 9 7 6 7 7 7 7 6 5 5 5 5 5 6 6 7 7 6 6 6 5 4 4 4 4 4 5 6 6 6 6 6 7 8 8 8 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 9 9 8 8 8 9 10 10 10 10 8 6 5 4 6 9 11 11 10 8 7 8 11 12 12 12 13 13 12 10 8 7 6 6 6 6 6 6 6 7 9 9 8 6 6 7 8 8 8 7 6 4 2 1 1 1 2 2 3 3 4 4 4 4 5 7 7 7 6 5 4 4 4 5 6 6 5 4 3 3 4 6 7 8 9 8 7 7 6 5 4 5 6 7 8 8 9 11 10 8 7 8 14 16 14 10 6 6 6 6 5 5 5 9 17 24 20 11 4 -5 -17 -16 -4 -1 2 5 6 6 5 4 4 4 5 12 18 19 16 12 9 9 9 10 9 8 7 7 7 5 4 4 5 6 6 7 7 6 4 4 6 8 10 9 7 5 6 7 7 8 7 5 5 3 1 0 1 2 2 1 2 3 3 4 5 6 3 2 6 6 9 10 10 10 10 11 11 9 5 2 4 6 6 4 2 2 3 5 6 8 9 9 10 10 10 12 13 12 11 10 9 8 9 10 8 7 6 6 6 6 6 6 6 5 5 6 9 8 2 1 6 9 9 7 5 5 7 8 8 7 6 5 5 6 6 6 6 6 5 5 5 5 6 6 5 5 4 3 3 3 3 3 4 4 5 6 6 6 6 5 4 3 2 2 4 5 5 5 5 4 3 3 3 3 3 4 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 5 5 6 5 5 5 5 6 6 6 7 8 7 7 6 6 6 6 5 5 5 5 6 9 10 9 7 5 5 6 6 5 5 5 4 5 4 3 3 3 3 3 4 3 4 5 5 5 5 5 5 5 5 5 5 6 7 7 6 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 5 4 6 9 11 9 6 6 6 7 7 7 7 6 6 6 6 6 6 7 8 8 8 7 6 6 6 6 7 8 8 9 10 11 12 14 15 16 16 17 16 12 9 8 8 8 9 9 9 8 7 6 6 5 5 5 6 7 7 7 7 6 5 5 4 4 4 4 6 6 6 6 6 7 8 8 9 9 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 8 7 7 9 10 10 10 10 10 10 8 7 6 8 10 11 10 8 6 5 7 9 10 9 10 12 13 13 11 9 9 8 7 7 7 7 7 7 7 8 10 10 9 8 8 8 8 8 7 5 4 3 2 2 2 2 3 3 3 3 4 4 4 5 5 7 8 7 7 5 5 5 5 5 5 5 5 5 4 4 5 6 5 6 6 5 4 4 3 2 2 4 5 5 6 8 9 8 7 8 13 16 15 8 1 1 4 6 8 8 7 5 11 18 23 21 14 8 0 -6 -6 -1 0 3 6 6 5 3 3 3 4 7 12 16 15 13 11 9 8 8 9 9 9 7 7 8 5 4 4 8 11 10 9 6 4 3 3 5 6 8 9 8 6 6 5 6 6 7 6 5 4 3 3 4 4 3 3 3 3 4 5 5 5 4 3 4 5 9 10 11 11 11 11 13 13 5 1 2 6 8 6 4 2 2 5 7 8 8 9 9 10 11 11 12 12 11 9 8 8 10 10 9 7 6 6 6 6 6 6 5 5 5 7 9 8 3 2 7 9 8 7 6 5 6 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 4 3 3 3 3 3 4 4 4 5 5 6 7 6 4 3 3 3 3 3 4 5 5 5 5 4 3 3 2 2 3 4 5 5 5 5 6 6 6 6 6 6 5 5 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 5 6 8 9 8 7 5 4 4 4 4 4 4 4 4 4 5 4 5 8 10 8 5 5 5 5 5 4 5 5 4 5 5 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 5 4 7 10 10 7 6 5 5 6 7 7 6 5 6 6 6 6 6 6 8 8 8 6 5 5 5 6 6 7 7 7 7 8 9 10 11 13 16 19 19 15 12 10 9 9 10 12 13 12 11 9 8 7 7 7 6 7 7 7 8 8 7 6 5 4 5 5 5 5 6 5 6 7 7 8 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 6 8 9 10 9 9 9 9 9 9 8 9 11 12 10 7 6 5 6 7 8 8 8 10 11 12 11 11 10 9 8 8 7 7 7 7 7 8 9 10 11 10 9 8 7 6 6 5 4 3 2 2 2 3 3 3 2 3 4 4 5 5 5 6 7 8 8 8 7 6 5 5 4 5 6 6 6 5 4 3 2 2 2 4 4 4 2 1 1 3 3 4 4 5 5 5 7 11 14 13 8 3 1 3 4 6 8 9 8 5 6 6 7 7 6 4 -0 -3 -2 1 2 5 6 5 3 2 3 4 7 9 11 12 13 14 13 10 6 5 7 8 8 7 7 8 6 5 8 10 9 9 9 7 5 4 2 4 7 7 8 11 10 7 6 6 5 6 6 6 6 5 5 4 4 3 3 3 3 4 5 5 6 5 4 3 6 9 10 12 12 11 10 12 12 6 4 3 5 5 5 3 1 1 4 7 8 8 8 8 9 10 11 12 10 10 9 9 9 9 10 9 7 7 6 6 6 6 6 5 5 5 7 8 7 5 5 7 7 6 7 6 5 6 7 6 6 6 7 7 7 6 7 6 6 5 5 6 6 6 5 5 4 3 3 3 4 4 4 3 3 4 5 7 7 6 5 4 4 3 3 3 3 4 6 6 5 4 3 3 3 3 4 4 5 5 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 6 6 6 5 6 6 6 6 5 4 5 6 7 8 8 7 5 4 4 3 3 3 3 4 4 4 5 5 6 14 18 10 5 5 5 5 5 5 4 4 4 5 6 7 7 7 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 6 4 5 8 10 9 6 5 5 5 6 6 6 6 6 6 7 6 6 6 6 7 7 7 7 5 4 4 5 5 6 6 6 6 6 6 7 8 9 12 16 18 16 14 11 10 10 11 14 15 15 13 12 11 10 10 10 8 7 7 7 9 9 8 7 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 4 5 6 8 9 9 8 7 7 7 8 8 9 10 11 11 9 8 7 6 7 7 7 7 8 9 10 11 11 11 10 9 9 8 7 6 7 7 8 8 9 11 11 10 8 6 6 6 5 4 4 3 3 3 3 3 3 2 2 3 4 5 5 5 5 6 7 8 9 8 6 5 5 4 5 5 5 6 5 4 2 1 1 2 3 6 6 4 2 2 2 2 3 4 4 3 4 7 9 10 9 7 4 4 6 6 8 9 10 9 6 2 0 0 -3 -5 -2 -0 1 2 3 4 6 5 4 2 5 8 14 20 16 11 11 12 15 15 11 7 5 5 8 7 6 6 7 6 6 8 7 5 6 7 8 7 6 5 5 9 8 7 11 12 10 8 7 6 6 6 6 7 7 7 5 3 3 2 2 3 4 5 6 5 4 3 4 7 8 10 12 12 10 9 8 8 5 5 6 5 2 0 2 3 4 6 8 7 7 6 6 7 9 11 12 11 10 9 8 9 10 9 9 8 7 7 6 6 6 6 5 5 6 7 7 8 11 11 6 3 4 6 6 5 6 5 6 6 7 7 7 7 7 6 6 6 6 6 7 7 6 6 5 3 3 4 4 5 5 4 3 2 4 7 8 7 7 6 6 5 4 3 3 3 4 5 7 6 5 4 4 3 3 4 5 5 6 6 6 6 6 6 5 6 5 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 6 6 6 5 6 7 6 5 5 4 4 6 7 7 8 7 6 5 4 3 2 3 4 5 5 5 5 5 7 13 15 10 5 5 5 4 5 5 5 4 5 6 7 7 7 7 7 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 7 7 7 6 5 5 8 9 7 5 5 5 5 6 6 6 6 6 6 7 7 6 5 6 6 6 6 6 5 4 4 5 5 5 6 6 6 6 5 5 6 7 8 11 13 13 12 12 11 11 11 13 14 15 14 13 13 13 13 12 11 9 8 7 9 10 10 9 7 5 5 5 4 4 4 4 4 4 5 6 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 6 4 4 4 4 5 6 8 9 8 7 6 5 6 7 8 9 10 10 10 9 8 7 7 6 6 6 7 7 9 10 12 13 12 11 10 10 8 7 6 7 7 7 8 10 11 10 8 6 5 5 6 5 4 4 4 3 3 3 3 2 2 3 4 5 6 5 5 5 6 8 9 9 7 5 4 4 4 5 4 4 5 4 2 1 2 3 5 8 8 6 4 2 1 2 4 5 5 7 8 7 5 3 4 5 4 7 9 8 9 11 11 11 9 7 6 7 7 6 6 4 4 4 5 6 6 4 2 3 11 21 28 29 23 14 10 9 12 13 11 7 5 5 7 6 5 5 7 8 5 4 5 6 7 7 8 10 9 8 7 8 8 4 7 11 11 9 9 9 8 6 6 7 7 8 6 3 3 3 3 4 5 5 5 4 3 4 6 6 6 9 12 11 11 10 8 5 3 4 6 6 4 3 6 11 10 8 8 7 5 4 5 6 9 10 11 12 11 9 8 9 9 9 8 8 7 7 6 6 6 5 5 5 5 7 7 10 12 9 4 2 4 4 5 5 5 5 6 6 7 7 8 8 7 6 6 6 6 7 7 7 8 7 5 3 3 4 5 5 5 3 2 3 5 8 8 7 7 7 7 7 5 4 4 4 4 5 6 6 5 5 4 4 4 4 5 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 4 4 6 7 6 7 7 7 6 4 3 3 4 4 5 6 6 5 6 7 8 8 7 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 7 7 6 5 6 7 7 7 7 7 8 8 7 7 7 6 6 7 7 7 6 6 7 7 7 6 5 6 8 9 6 4 5 5 5 5 5 6 6 5 6 7 7 7 6 6 6 6 6 6 5 4 4 4 4 5 5 6 6 6 6 5 5 6 6 8 9 10 10 11 11 10 10 11 12 13 13 13 13 14 14 15 13 11 9 9 10 13 14 13 10 8 7 6 5 5 4 4 4 4 4 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 7 5 5 4 4 5 6 8 9 8 7 6 5 6 6 7 9 9 10 10 9 8 8 8 8 7 7 7 8 11 13 15 15 14 13 12 10 8 7 7 8 8 7 8 10 10 9 6 5 5 6 6 5 5 4 4 3 4 3 2 2 3 4 5 5 6 6 6 6 7 9 9 7 5 4 3 4 5 5 6 6 6 6 5 4 4 7 9 10 9 6 3 2 3 4 5 9 12 10 4 1 -0 0 2 3 5 7 8 9 10 11 13 12 10 8 12 23 28 20 11 6 5 7 6 5 2 1 5 15 25 28 24 20 14 8 8 9 9 9 7 6 5 6 6 6 5 7 8 6 4 5 8 10 9 9 10 10 9 7 8 9 6 6 9 10 8 8 9 9 8 7 6 6 6 5 3 3 3 4 5 5 5 5 4 3 3 6 7 5 7 12 14 14 12 9 6 5 5 5 4 7 8 8 10 8 7 7 7 6 5 6 7 8 10 11 12 11 9 9 9 9 9 9 8 7 7 6 6 6 5 5 5 6 8 9 9 8 6 4 3 4 3 3 4 4 5 6 7 7 8 8 8 7 6 6 6 7 7 8 8 8 7 6 4 4 5 6 5 4 3 3 4 7 9 8 7 7 8 8 7 6 6 5 5 5 6 6 5 5 5 4 4 5 5 6 6 6 6 6 6 6 6 5 6 6 5 6 6 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 6 6 7 7 7 7 6 5 4 4 5 4 4 5 5 6 7 9 9 6 5 5 5 5 5 5 5 5 5 6 6 7 8 7 7 7 7 7 7 5 5 6 6 7 7 7 8 8 8 8 7 7 6 7 7 7 7 6 6 6 7 8 6 5 6 8 8 5 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 6 6 6 5 5 6 6 6 7 8 8 9 9 9 9 10 11 11 11 12 12 13 14 14 14 13 12 11 12 15 18 17 14 11 9 7 7 7 6 5 4 4 4 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 9 7 6 4 3 3 3 6 8 9 10 8 6 5 5 6 7 8 9 10 10 11 11 11 11 9 8 9 10 11 14 16 17 16 16 14 13 11 11 11 11 10 8 7 8 10 9 7 5 5 6 7 6 5 4 4 4 4 3 2 2 3 4 5 6 7 7 6 6 7 8 8 7 4 3 3 4 5 6 7 8 9 10 10 8 7 8 10 10 10 8 6 5 5 5 5 8 7 3 2 1 1 2 3 4 4 6 8 9 11 13 15 15 12 8 17 31 32 20 9 6 6 7 6 3 1 3 8 13 15 16 16 15 12 8 8 9 9 8 6 6 6 6 6 5 5 7 7 7 6 5 8 9 9 8 7 8 7 6 6 9 9 8 8 8 7 7 8 9 10 8 6 5 5 4 3 3 3 5 6 7 6 6 5 4 3 5 6 4 3 12 20 15 9 10 11 10 8 4 2 4 7 6 4 4 5 6 7 8 8 8 8 9 10 11 12 11 10 9 9 9 9 8 7 7 8 8 6 6 6 5 5 6 8 9 9 7 6 3 2 4 5 3 3 4 4 6 7 7 7 8 8 7 6 6 6 6 7 8 8 8 8 6 6 5 5 5 5 4 3 4 7 8 8 7 7 7 8 7 6 6 7 7 7 7 7 6 5 4 4 4 5 5 6 6 7 7 6 6 6 6 5 5 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 6 6 6 7 7 7 6 5 5 5 5 4 4 4 4 4 8 14 15 11 7 5 5 5 5 5 5 6 6 5 6 7 7 8 8 8 7 7 6 5 6 6 6 7 7 8 8 8 8 8 7 7 6 7 7 7 7 6 6 7 7 7 6 5 6 8 8 6 5 5 6 6 6 5 5 5 5 4 5 5 5 5 6 6 5 5 5 5 4 4 3 3 4 4 5 5 6 5 6 6 6 6 6 7 7 7 7 8 8 9 10 11 10 10 10 12 12 12 13 14 14 14 13 13 16 18 18 16 13 10 9 9 9 9 8 7 6 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 10 10 9 7 5 3 2 1 2 5 10 13 12 9 7 6 5 6 7 8 10 10 11 13 14 13 12 10 9 9 10 12 14 16 16 16 15 15 16 15 14 14 14 13 11 10 9 9 8 6 6 7 7 6 5 4 4 4 4 3 2 3 3 3 5 6 7 8 7 6 6 8 8 6 4 3 3 5 6 7 7 8 10 12 13 11 9 8 8 8 8 8 8 8 8 7 6 5 3 2 4 3 4 5 5 5 5 6 9 10 13 18 20 18 16 22 31 30 21 11 7 6 7 6 3 0 1 6 10 10 9 11 14 14 11 8 9 11 10 8 6 6 5 6 6 4 5 6 6 6 4 4 5 8 9 8 4 3 4 4 5 7 9 9 9 8 8 7 8 9 9 8 6 6 7 6 4 3 4 5 7 7 7 6 6 4 3 5 5 2 -0 11 20 11 7 12 14 14 12 6 3 3 6 6 4 3 5 6 8 9 9 8 8 9 10 11 11 11 11 10 9 9 9 8 7 7 8 8 7 6 6 5 5 6 7 8 8 8 6 3 3 6 6 4 4 4 3 5 7 7 8 8 7 6 6 6 6 6 7 8 8 8 8 7 6 5 5 5 4 4 4 6 8 8 7 7 8 7 7 6 6 7 8 10 10 9 7 6 5 4 4 5 5 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 4 5 5 6 6 7 7 7 6 6 6 6 5 3 3 3 3 4 6 14 18 15 9 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 7 6 5 6 6 7 7 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 6 5 6 8 9 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 3 3 3 4 5 5 5 5 6 5 5 6 6 6 6 6 6 7 8 8 9 11 11 11 10 11 11 11 11 13 14 15 15 15 17 16 16 15 12 10 10 9 9 10 10 10 9 8 7 6 6 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 9 10 9 8 6 4 2 1 1 3 8 14 15 12 8 6 6 5 6 7 8 8 10 11 12 12 10 8 7 7 8 9 10 11 12 12 13 14 16 15 14 13 15 18 19 16 12 9 8 7 7 7 6 6 4 3 3 3 4 4 3 2 2 3 4 6 7 9 8 8 8 8 7 5 4 4 5 7 8 7 5 6 7 9 10 10 8 7 6 6 5 7 9 9 9 8 7 6 7 7 7 7 7 8 8 7 6 5 9 11 15 21 23 22 35 47 40 23 10 6 6 6 5 2 -0 1 5 9 9 9 9 12 15 15 11 9 9 10 10 8 6 5 6 6 6 5 4 6 6 5 3 1 1 7 8 8 5 3 3 3 3 6 8 8 9 9 9 9 9 9 9 8 8 9 9 8 6 4 4 5 6 6 6 5 4 3 4 5 4 -1 -2 7 14 9 10 14 14 15 14 10 8 8 10 9 4 3 5 7 7 8 8 8 8 9 10 11 11 11 11 10 9 9 9 8 6 7 8 8 7 6 6 6 6 6 6 7 8 8 6 4 5 6 5 3 5 6 4 3 5 7 8 7 7 6 5 6 6 7 7 8 9 9 8 7 6 5 5 4 3 3 5 7 8 7 7 7 8 7 6 5 5 7 10 12 13 10 7 6 5 5 5 5 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 7 7 6 5 5 5 5 5 5 4 5 4 4 4 4 4 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 5 4 3 3 3 4 5 9 15 15 10 7 6 6 6 7 7 7 6 6 6 6 6 5 4 4 7 7 6 5 6 6 7 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 7 10 9 8 6 6 7 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 4 5 5 5 6 5 6 5 5 6 6 6 6 6 7 7 8 10 11 11 11 11 11 11 11 11 12 14 15 16 15 15 15 13 11 11 10 10 10 10 11 11 11 11 10 9 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 7 8 8 7 6 4 3 2 3 7 11 14 13 9 7 5 5 5 6 5 5 5 5 5 6 6 5 5 5 6 7 8 8 8 8 8 9 11 12 12 11 13 18 26 26 19 11 8 8 8 7 6 5 4 3 3 3 4 4 3 2 2 3 4 6 8 11 13 14 14 12 10 7 6 6 9 11 10 7 4 4 4 6 7 8 7 6 4 4 4 6 7 9 9 8 7 7 7 8 9 9 10 10 8 7 5 5 7 8 10 14 17 22 32 34 24 9 4 4 4 3 1 -1 -0 4 7 8 7 7 9 11 14 14 12 11 10 9 9 9 6 6 6 5 7 7 4 5 7 7 6 3 2 5 5 4 6 6 5 4 4 6 7 7 8 9 10 10 9 10 10 10 11 11 10 7 5 4 4 4 5 5 4 4 4 4 5 6 3 -2 -3 3 9 11 16 17 14 14 14 13 12 11 9 7 4 5 7 8 8 7 8 8 8 9 10 11 11 11 11 10 9 9 9 8 7 7 8 8 7 6 6 6 6 4 5 6 8 7 5 4 5 7 6 4 6 8 5 1 2 5 7 7 7 6 6 6 6 6 8 9 9 9 8 7 6 5 5 4 3 3 5 7 8 7 7 8 8 7 5 4 5 7 11 13 12 9 7 6 5 5 5 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 5 5 5 6 7 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 4 4 3 3 3 4 8 13 13 9 7 6 7 7 6 6 7 7 7 7 7 7 5 3 3 6 6 5 6 6 6 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 6 5 4 6 9 11 10 8 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 5 6 6 5 6 6 5 4 4 4 4 4 5 6 6 5 5 5 5 5 6 5 5 5 6 6 6 7 9 10 11 10 10 11 11 11 10 11 12 12 13 13 14 13 13 12 11 12 11 11 11 12 12 12 13 12 12 11 10 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 7 9 10 10 8 6 4 4 6 9 11 11 9 7 6 6 5 4 3 2 0 -0 1 1 2 3 4 4 5 5 6 7 7 6 5 6 7 9 10 10 11 15 23 28 22 14 10 8 8 7 6 5 4 3 3 3 3 4 4 4 3 3 4 7 10 16 21 23 21 18 14 10 9 10 12 14 12 8 5 4 5 5 6 6 5 4 4 4 4 5 5 6 7 7 6 6 7 8 8 8 8 8 6 6 5 5 6 4 6 9 11 13 4 1 3 0 1 3 4 3 0 -2 -0 4 7 6 6 7 8 8 9 10 12 13 12 9 8 8 6 6 7 5 6 6 5 5 6 7 7 6 4 4 4 2 4 6 7 8 9 7 6 6 7 8 9 10 9 11 11 13 13 11 7 5 5 4 3 4 5 4 4 5 5 6 7 6 3 -1 -2 2 8 13 17 16 14 14 12 10 9 7 5 5 7 10 11 9 8 8 8 8 8 10 11 11 11 11 10 10 9 9 9 8 7 7 7 8 7 6 6 6 6 4 4 6 7 7 4 4 6 8 7 5 6 5 2 -1 -1 2 5 6 6 5 5 6 6 7 8 9 9 8 7 6 6 6 4 3 2 2 5 7 7 7 8 9 8 6 5 4 5 8 11 12 10 8 7 6 5 5 5 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 3 4 4 4 5 5 5 5 6 6 6 6 5 4 4 3 3 3 4 7 12 16 11 6 6 6 7 6 7 7 7 7 8 8 7 5 3 4 7 7 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 6 5 4 6 9 11 11 8 6 6 5 4 4 4 3 4 4 5 6 6 6 6 7 7 8 9 7 7 6 6 5 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 7 8 10 10 10 9 10 11 10 10 9 9 10 10 11 11 12 11 11 11 12 13 12 12 13 12 12 13 13 12 12 11 11 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 8 11 12 14 15 15 15 14 12 11 14 21 26 16 4 -0 0 2 5 8 10 11 13 15 17 17 14 10 12 13 15 15 15 15 15 14 13 12 13 13 12 12 11 10 10 10 10 10 10 11 10 11 10 10 11 10 9 9 9 9 9 10 11 13 14 14 13 13 11 9 7 8 8 8 9 9 9 12 14 15 17 17 13 12 11 11 13 14 14 14 13 13 12 12 11 11 11 12 12 12 13 13 13 13 13 13 12 11 12 12 12 12 11 12 13 12 12 11 10 11 12 13 13 14 13 14 14 14 12 13 16 16 15 13 13 13 13 12 9 10 15 17 15 12 12 13 13 14 14 14 14 13 13 13 12 13 13 13 14 14 13 13 13 12 12 12 12 12 12 12 11 11 13 15 15 14 12 11 8 9 16 26 27 20 16 14 13 13 14 13 13 13 14 15 16 15 13 12 9 9 14 16 16 16 16 17 16 15 14 14 14 14 13 13 13 15 16 16 16 13 11 11 12 14 15 15 13 13 14 15 16 18 18 14 11 12 13 14 13 12 10 13 20 24 24 20 17 15 15 14 15 14 13 14 13 14 14 14 14 15 16 16 16 15 14 14 14 14 13 12 12 11 11 11 11 12 11 11 9 9 9 10 10 10 10 11 11 11 10 11 11 11 12 12 12 12 12 13 13 11 10 9 9 9 9 9 10 9 9 10 10 9 9 10 10 9 9 10 10 10 11 11 10 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 15 15 14 13 13 14 16 14 13 11 9 9 9 11 12 12 12 13 13 14 15 15 15 14 14 14 13 11 13 16 17 17 15 12 11 10 10 10 10 10 11 12 15 19 20 20 17 16 14 14 15 14 14 13 12 11 11 11 12 12 12 13 13 14 13 12 12 12 14 15 15 15 14 12 13 15 15 14 14 14 13 13 14 17 19 19 16 12 12 13 13 13 13 13 13 13 12 11 11 13 15 14 14 15 15 15 15 15 15 14 14 13 13 13 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 14 13 13 16 23 22 10 2 1 6 8 7 6 10 11 11 12 14 15 13 12 13 15 16 16 15 15 14 14 13 13 14 14 14 13 11 10 10 10 9 10 11 11 11 10 10 10 10 9 9 8 8 9 9 9 11 12 13 14 14 13 11 10 8 7 8 9 8 9 10 12 13 15 17 16 13 11 11 11 13 13 13 14 13 13 13 12 11 11 11 12 12 13 13 13 14 14 13 13 12 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 14 12 9 10 16 18 16 13 13 12 13 13 11 11 13 15 13 12 12 12 14 14 14 15 14 13 13 12 12 13 14 13 13 14 14 13 13 13 12 12 12 12 12 12 11 12 13 13 14 14 12 10 4 0 5 21 33 32 28 20 15 13 14 14 14 13 13 15 15 15 15 15 13 12 11 12 13 14 16 16 15 15 15 14 14 13 13 13 13 13 15 16 16 14 12 10 9 10 12 14 14 13 12 11 9 16 21 16 12 12 13 14 14 12 4 1 6 12 17 18 18 17 16 15 14 14 14 14 14 14 15 15 15 15 15 15 15 15 14 14 14 13 13 13 12 12 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 11 11 12 12 13 13 12 13 13 13 12 11 10 10 10 9 10 10 10 9 9 9 10 9 9 10 10 10 10 9 10 11 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 11 11 12 13 13 12 13 13 14 14 14 14 15 15 15 15 13 10 7 6 6 8 10 12 13 13 13 13 14 14 14 14 15 14 14 14 14 14 16 16 15 13 12 13 12 11 10 10 10 10 11 11 12 13 13 13 13 14 14 14 14 15 15 14 12 11 11 12 12 13 13 13 13 13 12 11 11 13 15 16 16 15 14 13 13 15 15 14 14 14 13 13 15 18 19 17 13 11 11 13 13 13 13 14 13 12 11 12 13 14 14 14 14 15 15 15 15 14 13 13 12 12 12 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 5 6 10 11 8 7 11 12 11 11 12 15 16 17 18 18 17 15 14 14 13 13 13 14 15 16 16 14 12 10 9 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 11 12 13 13 14 12 10 9 8 8 8 8 8 8 10 11 13 15 17 16 14 11 11 12 12 13 13 13 13 13 12 12 12 12 11 12 13 13 14 13 13 13 13 13 13 12 11 11 11 11 11 11 12 14 13 13 14 14 13 13 13 13 14 14 15 13 11 10 12 14 14 13 13 13 13 13 13 13 13 13 12 11 12 13 14 14 15 15 14 13 12 12 12 13 13 14 14 14 14 14 14 13 13 13 13 12 13 12 12 12 12 12 12 13 13 12 7 1 -2 2 15 26 32 32 24 18 14 14 14 13 13 14 15 15 15 16 16 14 13 12 12 13 14 15 15 15 16 17 16 14 14 15 14 13 14 14 15 15 14 12 10 10 12 14 15 16 13 9 4 9 16 15 13 12 12 12 16 17 11 4 3 5 9 13 15 17 16 15 15 15 15 15 15 15 15 15 15 15 14 14 14 13 13 13 12 13 13 13 13 12 12 11 11 11 11 12 12 13 12 11 11 11 11 12 12 12 11 11 12 12 13 13 13 13 12 10 10 10 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 12 11 11 12 12 12 11 12 13 14 14 13 13 13 14 14 15 16 16 17 17 15 12 10 10 10 11 12 13 13 13 13 13 14 14 14 14 14 14 14 15 15 15 14 14 13 12 11 11 12 12 12 11 11 11 10 11 10 10 11 12 13 14 14 14 14 14 14 14 12 11 11 12 13 13 13 13 13 13 13 12 11 12 15 16 16 15 15 14 13 13 14 14 15 14 13 13 14 16 18 19 17 13 11 12 13 13 14 14 14 12 11 12 13 13 14 14 14 14 14 14 14 15 14 13 12 11 12 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 14 16 17 20 21 19 17 15 14 14 13 13 13 14 15 15 15 15 14 12 11 10 9 8 9 10 11 11 11 11 11 11 12 12 11 11 11 11 11 13 14 15 14 13 11 10 8 7 8 8 8 9 9 9 11 12 15 18 17 15 12 12 12 12 13 14 13 12 12 12 12 12 12 13 13 13 13 13 14 14 13 13 13 13 12 12 11 11 11 11 12 12 14 15 15 14 13 13 13 12 13 14 14 15 14 13 12 12 12 12 12 13 14 14 13 13 13 14 13 12 12 13 13 14 14 15 15 14 13 12 11 11 12 13 13 14 14 14 15 14 14 14 14 13 13 13 12 13 13 13 12 12 12 12 13 14 10 3 -2 0 8 19 34 35 22 15 15 14 14 14 14 14 15 16 16 16 15 14 13 12 12 14 14 13 13 16 21 24 19 15 16 16 15 14 13 13 13 13 13 12 11 11 13 14 16 15 12 10 9 12 12 13 13 12 12 14 16 17 14 10 7 8 10 12 14 14 14 14 14 14 15 16 16 16 16 15 14 14 14 14 14 13 13 12 12 12 13 13 13 12 12 11 11 12 12 13 14 13 12 13 12 12 13 13 13 12 12 12 13 14 13 12 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 10 10 10 11 11 10 10 11 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 12 12 11 11 12 12 12 12 11 12 12 12 12 12 12 13 14 14 14 14 13 14 15 17 17 17 16 15 14 13 13 13 13 13 14 13 13 13 14 14 14 13 13 14 14 14 14 15 16 16 14 12 11 10 9 10 10 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 13 13 12 11 12 12 13 13 14 13 13 13 14 13 12 12 14 15 15 15 15 14 13 13 14 14 14 14 14 13 14 15 16 16 16 16 14 13 12 13 13 15 15 14 12 10 11 13 13 13 14 15 15 14 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 12 12 14 14 15 15 15 15 15 14 12 12 11 9 9 9 9 8 9 10 11 12 12 13 13 14 14 14 13 12 13 14 15 15 14 11 9 8 8 8 7 8 9 9 10 9 10 12 15 17 17 15 14 12 12 12 13 13 13 12 12 13 13 13 13 13 14 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 12 13 15 15 14 14 14 13 13 13 12 13 14 14 14 13 14 13 13 12 12 13 14 13 13 13 13 13 13 13 12 13 14 14 14 14 14 14 14 14 12 12 11 12 13 14 13 13 14 15 15 14 14 14 13 13 13 13 13 13 13 12 13 12 12 13 14 13 9 2 -1 5 27 38 29 22 17 14 14 14 14 14 15 15 16 16 16 15 15 14 14 14 13 10 6 5 15 26 24 19 20 18 16 16 15 14 12 11 11 13 13 13 13 13 14 14 13 13 12 13 12 12 12 12 11 12 14 14 13 11 10 9 9 9 10 12 13 13 13 13 13 14 15 16 17 17 16 15 16 16 16 15 14 12 11 12 12 13 13 13 12 12 12 12 12 12 13 15 15 15 14 15 15 15 15 15 15 14 14 14 13 11 11 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 14 16 17 16 15 13 12 13 13 13 13 13 14 13 13 14 14 14 14 14 14 13 14 15 14 15 15 16 17 16 14 13 10 8 8 10 10 11 11 12 11 11 11 11 11 12 13 13 13 14 13 12 12 12 12 12 13 13 14 13 13 13 13 13 13 13 13 13 14 15 15 15 15 14 13 14 14 13 14 14 15 14 14 13 14 15 16 16 14 13 12 13 13 14 14 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 4 4 4 5 5 6 7 7 7 6 6 7 10 13 16 19 22 24 22 19 20 22 21 20 18 16 13 13 14 14 15 16 18 20 24 28 34 37 37 34 31 30 31 32 31 28 25 22 21 22 24 24 24 22 19 17 16 16 16 14 11 9 7 6 6 6 6 6 7 8 8 6 6 6 5 6 7 7 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 1 4 9 14 16 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 20 20 19 18 17 21 32 41 39 33 26 19 12 2 0 0 0 6 8 8 9 14 23 37 51 60 62 54 39 22 9 4 4 5 5 5 4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 24 7 5 4 7 7 16 18 17 9 3 9 31 37 39 48 37 20 11 27 62 85 85 80 79 79 79 89 104 106 104 105 107 103 96 89 85 81 75 80 92 84 86 102 120 128 128 131 129 114 91 73 69 76 82 82 82 83 89 101 103 105 123 124 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 nan nan nan 4 4 4 4 4 5 6 6 6 6 4 3 4 7 10 13 16 19 18 16 15 16 17 17 16 15 16 18 19 20 20 20 23 28 32 34 36 36 34 32 30 30 31 30 26 23 20 17 16 17 16 15 16 16 16 15 15 15 14 13 11 9 6 5 5 5 5 5 5 6 6 5 5 5 5 6 6 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 2 6 11 16 19 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 14 11 12 16 24 32 32 27 22 18 10 4 0 0 0 0 2 3 4 5 8 14 27 44 62 67 59 41 23 10 4 3 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 8 7 19 20 25 20 25 27 26 18 22 43 51 39 25 10 3 6 43 83 93 88 87 89 89 89 91 96 105 111 110 105 97 94 94 94 92 91 89 81 83 94 107 122 133 127 118 106 87 74 74 81 88 92 93 96 103 116 122 130 137 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 4 4 4 4 4 4 5 6 7 6 4 2 4 7 9 12 14 15 14 12 12 14 14 14 14 16 18 20 20 17 16 21 28 33 33 31 30 29 28 28 28 28 25 20 16 12 9 7 7 8 9 10 10 11 11 11 11 10 9 7 5 3 2 3 3 2 3 3 4 4 4 5 5 5 5 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 13 18 20 15 7 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 0 0 3 15 26 27 22 17 13 10 4 1 0 0 0 0 0 2 2 3 6 10 20 37 60 69 60 42 23 10 3 2 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 9 16 10 12 18 16 32 44 46 41 50 60 60 48 38 30 19 16 10 6 2 10 47 83 96 93 91 94 94 91 90 95 101 107 109 106 100 95 95 96 100 103 101 96 94 96 104 118 128 124 116 106 94 90 93 99 104 109 111 112 119 130 134 140 146 139 130 nan nan nan nan nan nan nan nan nan nan 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 3 3 4 4 4 4 5 7 8 6 4 4 5 8 10 12 12 12 10 10 12 12 12 13 14 16 17 16 11 11 14 19 22 22 21 22 22 22 22 22 21 18 13 9 5 3 2 3 4 5 6 6 6 7 7 7 6 5 4 2 1 0 1 1 0 0 1 1 2 3 4 4 4 5 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 0 0 1 3 6 10 15 20 20 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 0 0 0 1 14 24 20 12 7 4 2 1 0 0 0 0 0 0 0 1 3 5 8 14 28 50 63 60 43 22 9 2 1 2 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 16 22 31 38 36 36 36 32 38 50 60 68 72 77 79 72 57 47 41 38 35 36 31 38 66 87 98 95 90 94 98 95 92 93 102 106 110 111 107 100 96 94 96 102 105 103 98 97 101 109 114 115 114 109 108 111 115 118 121 126 130 128 132 143 142 139 142 139 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 1 2 3 4 3 3 4 4 4 6 8 9 8 6 6 8 10 11 11 11 11 10 11 12 12 12 13 14 16 14 8 8 10 10 11 11 10 11 12 12 12 12 12 9 6 3 1 1 1 2 2 3 3 3 4 4 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 1 2 3 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 1 3 7 11 16 20 20 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 20 13 4 1 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 19 37 54 58 45 24 9 3 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 1 9 15 21 31 42 50 51 47 41 39 38 44 65 75 88 103 96 64 46 51 74 75 82 72 69 74 87 101 99 88 89 97 99 93 93 103 106 110 115 112 106 99 93 91 94 100 102 100 97 97 100 104 107 107 105 105 115 123 126 130 136 138 136 143 153 146 141 148 147 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 0 0 0 1 2 3 3 3 3 4 4 6 8 8 9 8 9 10 12 12 11 12 12 12 12 12 12 12 14 16 15 10 8 7 5 4 3 3 3 4 3 3 3 3 2 1 0 0 0 0 1 1 1 1 2 2 3 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 10 15 20 20 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 13 25 41 52 46 29 14 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 2 4 6 12 13 14 20 31 43 48 48 48 49 44 45 66 80 97 118 117 95 69 79 108 117 121 110 98 84 87 106 113 102 90 89 93 94 96 100 102 104 108 110 107 101 93 87 89 95 100 101 99 97 96 99 104 104 101 102 109 115 124 135 149 156 154 163 166 156 154 166 166 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 1 2 2 3 3 3 4 4 5 7 8 10 10 11 12 11 11 10 9 10 10 11 12 12 12 13 12 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 14 19 19 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 18 10 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 3 5 8 16 29 39 41 33 23 14 7 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 1 5 11 12 14 24 27 18 13 12 10 13 17 22 29 36 45 54 65 70 72 86 98 108 126 123 125 116 124 142 147 147 139 127 114 110 125 136 130 107 92 90 95 97 97 98 101 104 106 106 103 96 89 88 92 99 103 103 101 100 103 112 117 111 110 111 106 115 140 172 178 175 181 180 174 175 176 172 156 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 6 8 10 11 12 11 11 9 7 6 6 7 8 9 9 9 7 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 16 17 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 18 23 12 2 0 0 1 3 4 3 1 0 0 0 0 0 0 0 0 0 1 4 8 15 23 29 30 28 22 14 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 3 11 18 24 32 34 26 17 10 3 4 9 17 26 27 31 42 52 66 78 86 94 102 116 121 124 136 142 152 155 154 157 156 147 142 147 149 151 148 130 112 100 97 99 100 100 102 106 108 108 107 102 95 89 91 98 107 110 107 109 115 130 141 139 132 121 111 115 140 168 176 176 183 187 185 180 175 167 145 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 1 0 0 0 0 0 0 0 2 2 2 1 1 2 3 5 7 9 10 11 11 10 7 4 3 3 4 6 6 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 23 24 12 4 3 3 4 6 6 5 3 0 0 0 0 0 0 0 0 0 0 1 2 4 9 14 18 21 20 16 12 9 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 10 14 22 33 36 27 14 3 0 0 2 5 10 17 20 29 37 49 58 72 84 91 98 105 112 123 136 147 149 150 152 156 154 151 151 147 143 145 142 128 110 100 98 101 100 102 111 119 115 111 107 105 97 94 99 111 116 114 119 132 148 160 162 157 144 131 130 145 163 172 176 182 188 184 175 168 161 138 114 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 9 5 2 1 0 0 0 0 0 0 1 1 0 0 0 1 2 4 6 8 10 11 11 9 5 2 1 1 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 19 18 8 4 4 5 6 7 7 6 4 1 0 1 0 0 0 0 0 0 0 0 0 0 2 3 6 7 10 10 9 9 9 8 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 1 7 14 24 34 42 33 15 1 0 0 0 0 1 1 5 10 20 31 40 48 67 79 85 90 95 102 116 131 141 143 143 145 146 145 141 130 122 122 122 121 103 96 92 96 96 99 113 123 121 114 108 108 108 105 107 115 119 119 128 143 158 168 170 168 165 156 154 160 166 174 178 182 183 177 170 164 158 141 121 nan nan nan nan nan nan nan 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 10 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 11 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 9 4 2 2 3 3 3 4 5 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 3 3 3 4 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 2 3 0 6 19 31 40 45 34 14 3 0 0 0 0 0 0 0 1 6 17 32 43 54 64 72 77 79 83 92 106 122 132 136 139 139 138 136 125 113 104 98 101 98 91 88 92 96 100 110 121 121 116 108 108 111 112 114 119 120 120 131 149 161 169 170 168 169 171 172 172 166 168 173 177 177 168 161 156 151 143 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 8 9 8 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 9 6 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 5 4 3 1 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 23 38 47 47 34 14 4 0 0 0 0 0 0 0 0 0 6 23 41 48 51 56 61 62 61 70 78 91 106 120 128 132 132 134 131 121 107 100 105 109 100 93 95 101 107 112 119 119 116 111 109 112 116 118 120 120 121 132 149 157 162 166 165 167 176 178 171 154 160 166 172 171 162 149 141 142 144 149 nan nan nan nan nan nan nan 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 6 7 8 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 9 10 11 11 9 6 4 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 1 1 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 17 36 49 49 36 17 6 2 1 0 0 0 0 0 0 0 1 11 32 39 41 40 41 40 35 37 50 60 73 90 104 114 120 126 129 127 118 112 114 118 112 104 102 106 112 116 116 115 115 114 112 113 116 118 119 121 120 132 150 152 153 159 160 165 175 174 158 142 148 160 170 172 163 146 137 141 148 151 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 2 3 4 6 7 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 16 16 14 11 9 7 6 6 5 4 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 7 21 36 42 36 23 18 18 14 6 3 6 4 2 0 0 0 2 12 22 29 30 29 27 21 18 19 32 44 57 71 85 99 112 121 124 121 118 117 116 113 108 106 106 110 114 114 113 114 116 118 117 116 117 116 121 123 130 143 145 146 148 149 155 164 165 140 126 140 158 170 176 172 155 141 142 151 155 153 nan nan nan nan nan 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 1 2 4 7 8 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 17 18 17 16 14 12 10 8 7 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 5 4 1 1 0 2 7 18 32 40 39 39 44 42 36 29 23 18 12 5 0 0 0 1 6 14 16 16 18 12 5 4 11 19 27 40 54 71 91 109 119 121 120 118 115 112 109 107 104 106 112 118 117 116 118 121 121 118 114 113 118 124 126 123 125 130 132 133 142 155 156 137 123 132 149 165 175 179 171 154 144 151 158 163 nan nan nan nan nan 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 2 4 6 8 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 11 14 17 18 18 17 16 13 10 10 10 11 10 8 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 1 6 9 8 5 2 0 1 3 13 38 51 52 57 61 60 48 36 25 22 14 3 0 0 0 0 0 4 4 5 3 0 0 0 2 6 14 28 44 67 91 108 119 122 122 118 113 111 110 105 105 110 120 121 118 118 122 124 122 116 110 114 123 121 110 107 112 119 124 135 149 149 136 123 122 135 155 168 177 179 173 160 160 166 170 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 7 4 2 1 0 0 0 2 2 3 5 7 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 1 3 5 7 10 13 16 18 20 20 19 18 16 15 14 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 1 3 5 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 10 15 14 10 4 0 0 3 23 50 58 57 62 76 72 54 41 32 25 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 21 44 67 90 110 122 126 122 112 108 109 111 110 112 118 121 121 121 124 130 130 123 114 114 122 122 111 102 106 116 128 141 151 140 130 122 111 125 146 159 166 171 174 172 170 171 173 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 7 7 6 4 2 0 0 0 1 1 2 3 4 6 8 8 6 4 2 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 7 10 15 19 22 21 20 18 16 14 13 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 12 8 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 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 20 25 22 3 0 0 7 40 63 64 71 93 102 84 62 48 39 32 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 18 45 68 93 113 122 118 103 95 97 104 108 112 116 119 122 123 125 132 140 138 126 117 118 124 115 104 106 120 132 146 151 131 123 122 125 132 139 145 150 157 166 170 166 166 171 173 nan nan nan 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 7 6 5 3 1 0 0 0 0 0 1 2 3 4 6 7 7 6 3 1 0 0 0 0 0 0 0 0 1 2 3 4 4 4 5 7 11 15 18 18 18 17 15 15 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 23 23 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 4 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 1 5 10 14 21 32 42 34 16 5 1 29 64 84 96 112 122 110 79 54 43 38 22 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 24 49 72 92 104 103 89 78 78 84 93 102 108 112 118 123 124 128 142 150 137 124 117 124 114 106 110 123 135 148 146 129 112 109 126 137 131 126 128 137 150 161 160 160 160 161 nan nan nan 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 5 5 4 2 1 0 0 0 0 0 0 1 1 2 4 6 9 10 6 2 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 10 14 16 16 17 16 15 14 12 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 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 27 28 20 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 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 1 2 1 0 0 2 6 12 20 30 40 45 36 26 16 29 62 91 108 118 122 108 76 46 30 22 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 32 52 68 80 86 81 71 67 67 76 88 95 99 107 118 122 120 134 146 142 130 123 124 117 112 116 125 139 153 151 131 102 86 104 124 123 116 113 116 127 138 142 150 156 152 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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