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