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 3 3 2 1 2 2 2 1 1 2 4 5 5 5 5 5 5 5 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 5 4 4 3 3 4 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 5 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 4 5 6 9 10 9 7 5 5 7 7 7 6 6 6 6 6 5 5 4 4 5 5 6 4 6 8 8 2 10 9 3 2 4 1 6 8 6 6 5 2 2 5 7 1 -2 -1 2 6 11 17 15 9 3 4 8 7 8 13 9 3 5 12 14 10 7 5 2 6 10 4 -1 3 10 9 5 8 9 0 -3 2 7 5 0 -1 3 6 8 16 29 35 28 15 8 4 4 3 3 2 2 1 1 1 2 2 2 2 3 3 3 3 4 4 5 5 4 5 6 6 6 6 6 7 8 8 9 9 9 9 8 7 8 8 8 8 7 8 9 9 7 5 5 5 5 5 5 5 5 4 4 7 8 6 5 5 5 5 5 5 5 7 4 0 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 3 2 2 2 2 2 1 0 0 1 2 3 4 6 7 7 7 7 9 12 14 14 13 10 6 4 4 4 7 7 6 4 4 5 6 5 5 5 4 4 4 4 5 5 4 4 4 4 6 6 5 5 8 17 26 20 9 5 8 8 1 1 -4 -5 -10 -2 4 0 5 8 4 3 4 5 4 -1 -6 -6 -5 -6 -6 -4 1 5 7 8 8 8 10 15 19 18 13 10 11 8 7 5 5 6 8 10 12 12 11 11 13 13 10 8 7 5 4 4 4 3 4 3 4 4 5 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 3 2 2 2 2 2 1 1 0 2 4 5 5 4 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 5 5 5 4 3 3 3 3 4 4 4 5 5 4 4 3 3 4 5 5 4 4 4 5 4 4 4 4 4 4 3 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 6 7 9 9 7 6 6 7 8 8 6 6 6 6 6 5 5 5 5 7 8 6 4 7 11 9 6 10 8 4 4 8 1 -1 1 3 8 8 1 1 9 8 3 1 -2 -0 6 14 18 15 10 5 6 10 6 6 10 5 5 9 12 12 10 4 -2 3 11 14 9 3 1 1 2 3 7 6 1 3 7 7 5 5 5 6 9 16 27 33 30 19 9 6 4 4 4 3 3 2 2 1 1 2 2 2 2 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 6 5 5 4 7 9 6 4 5 5 5 5 6 5 3 2 5 7 7 5 5 5 4 4 5 5 4 4 -1 -2 2 3 2 2 4 5 5 5 5 5 5 5 5 4 3 4 4 5 5 5 5 4 3 2 2 3 2 2 1 1 2 3 3 4 5 6 6 6 6 8 11 14 16 16 13 10 6 4 5 7 8 6 4 4 4 5 6 6 6 5 5 5 4 5 5 5 4 4 4 4 5 5 5 5 9 17 23 22 16 12 8 9 11 7 0 1 2 3 1 6 6 4 6 7 6 2 3 4 1 1 -2 -5 -5 -2 4 7 7 6 5 5 7 9 11 10 6 5 5 5 5 5 5 6 7 8 9 10 10 10 8 6 5 5 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 2 2 2 3 2 1 0 -0 2 3 4 4 4 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 4 4 5 5 4 4 3 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 8 8 7 7 7 8 8 7 6 6 6 5 5 5 3 3 9 15 8 3 9 15 5 5 9 4 3 5 6 2 -1 -2 -1 6 10 4 4 9 8 5 3 -0 -1 5 15 14 9 7 6 9 12 11 12 11 5 8 11 8 4 4 -3 -4 6 13 14 11 6 -1 -4 -2 1 5 8 9 10 8 4 3 5 7 9 14 25 34 29 18 10 6 5 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 5 5 6 6 5 5 5 6 6 7 8 7 7 8 8 8 7 7 6 5 4 3 1 -1 3 5 4 5 5 6 5 4 3 4 6 7 6 5 5 5 4 4 5 4 4 5 -3 -9 -1 2 -2 -3 1 4 4 4 4 4 4 5 5 4 3 2 3 4 5 5 5 4 3 4 4 4 4 3 2 3 4 4 4 4 5 5 5 5 6 8 10 13 17 18 16 12 8 5 5 7 8 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 3 4 4 7 14 19 20 15 8 7 8 7 3 3 4 4 2 3 4 6 6 7 6 2 4 6 4 4 1 -2 -3 1 4 6 7 7 5 4 5 5 6 6 5 5 5 5 6 5 6 6 6 7 7 8 8 7 5 5 4 4 3 3 3 3 3 3 2 2 2 2 3 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 2 1 2 3 3 3 2 0 0 1 2 2 3 4 5 4 5 5 5 4 4 5 5 4 3 4 4 4 4 4 3 3 4 4 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 3 4 4 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 7 7 7 7 7 8 8 7 6 6 6 5 5 5 1 -3 2 13 12 4 6 13 6 3 7 7 4 8 5 0 -0 2 2 5 7 5 5 6 6 4 4 3 0 5 12 9 4 2 3 7 13 13 13 13 17 16 10 4 3 3 -2 -0 7 12 14 10 3 -1 1 2 1 5 10 11 8 5 3 2 3 7 11 20 30 29 17 9 6 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 8 8 7 7 6 5 3 -0 -0 4 5 5 5 5 5 4 3 4 5 6 6 5 5 5 5 4 5 5 4 4 5 0 -8 -6 1 1 -3 -1 4 4 4 4 4 4 5 5 5 4 3 3 3 4 4 4 4 4 5 5 5 4 3 3 4 4 4 4 4 4 4 4 5 5 7 8 11 15 17 17 14 9 5 5 8 7 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 1 2 2 4 8 13 14 9 7 7 4 1 2 4 5 5 5 4 6 7 6 5 1 3 5 2 2 2 0 2 5 6 6 6 7 5 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 9 8 7 5 4 4 4 4 3 3 3 3 3 3 3 2 2 2 3 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 2 1 2 2 3 3 3 2 1 1 1 1 1 2 4 4 5 4 4 5 5 5 5 5 5 4 4 4 5 4 4 3 3 3 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 4 4 4 4 4 4 3 4 4 4 5 5 5 5 4 4 5 5 6 5 5 4 4 4 4 4 5 6 7 7 7 7 7 8 8 7 6 6 6 6 5 2 -6 -10 0 12 10 8 10 6 4 6 7 4 10 9 2 1 3 5 6 3 2 2 5 5 2 3 5 2 5 5 1 -3 0 2 5 8 8 10 11 18 17 9 4 3 1 5 7 5 6 10 7 1 3 10 8 6 10 12 10 6 2 2 2 4 7 14 24 25 16 8 5 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 5 5 6 6 6 5 5 4 5 5 6 6 7 7 7 7 8 8 8 7 7 6 5 6 9 7 5 5 5 4 4 3 3 5 5 5 6 5 5 5 5 5 5 5 5 5 5 3 -2 -7 -3 7 7 3 3 4 5 5 4 4 5 6 7 6 5 3 2 3 3 3 4 5 5 6 5 3 2 3 4 4 3 3 3 4 4 4 5 5 6 7 9 12 15 16 15 11 7 6 7 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 2 2 0 -0 -1 -2 -2 -2 -2 -1 3 6 7 5 5 4 2 4 6 6 6 6 5 6 6 8 7 3 2 3 4 4 3 3 5 6 7 6 6 6 5 4 4 3 4 4 5 5 5 5 5 6 6 7 9 11 12 10 8 6 5 4 4 5 5 4 3 3 3 4 3 3 3 3 3 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 2 2 3 3 3 3 2 2 2 2 1 0 1 2 4 5 5 5 5 5 4 5 5 5 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 6 5 4 4 4 4 4 4 5 7 7 7 7 7 8 8 7 7 6 6 6 6 4 -3 -9 -4 7 10 10 7 2 3 5 2 2 5 5 3 4 3 7 9 4 3 4 6 5 5 7 5 2 4 2 -2 -3 -1 3 6 2 -2 5 7 9 8 5 2 0 1 8 10 3 1 6 6 4 11 14 11 11 13 10 8 6 4 3 2 4 7 15 19 14 7 5 5 5 4 5 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 4 4 4 4 4 4 5 5 5 6 5 4 4 4 5 5 6 7 6 6 7 7 8 8 7 6 6 5 8 11 8 5 5 4 3 3 4 4 5 5 5 5 5 4 4 5 5 5 5 6 6 5 4 2 -4 -6 3 9 7 4 5 5 5 4 4 5 6 8 9 9 6 4 2 2 2 3 4 6 5 3 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 6 8 11 14 16 14 11 7 6 4 3 4 4 4 4 4 3 3 4 4 5 4 4 3 3 2 1 1 1 -0 -1 -3 -5 -4 -3 -5 -3 -1 2 4 5 5 4 4 6 8 7 4 5 7 6 5 10 10 6 2 2 5 6 5 4 5 7 8 6 5 4 4 4 4 3 3 3 4 4 5 6 6 6 6 7 9 12 13 13 11 9 7 5 6 8 9 7 4 4 4 4 5 4 4 4 4 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 5 5 4 3 3 3 2 2 2 3 3 3 2 1 0 1 3 5 5 5 5 5 4 5 5 5 5 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 4 4 4 4 3 3 3 4 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 4 5 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 6 6 6 5 4 4 4 4 5 5 6 6 7 7 7 8 9 8 7 6 6 6 6 5 2 -2 0 4 4 5 2 -2 1 0 1 5 2 1 3 5 4 10 12 5 5 10 8 5 9 10 5 2 3 1 1 2 0 3 5 -2 -6 3 3 3 2 1 -1 1 4 2 5 2 3 6 -1 4 13 13 11 10 10 6 3 4 6 5 4 4 9 15 13 7 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 6 7 7 8 7 7 5 5 6 10 9 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 5 4 4 4 1 -4 -5 1 6 6 5 5 4 4 4 4 6 8 10 11 10 7 4 2 2 2 4 6 5 3 1 1 2 3 4 4 3 3 4 3 4 5 5 5 5 5 5 8 12 15 17 15 10 4 2 2 3 4 4 5 5 4 4 4 4 4 4 4 3 3 2 1 1 2 3 1 -0 -3 -2 -0 -2 -1 2 2 3 4 6 5 4 6 6 5 4 3 4 4 7 11 11 8 4 4 6 5 5 5 6 7 8 6 5 3 2 3 3 4 3 3 3 4 5 7 7 6 6 7 8 10 12 13 13 11 8 6 7 11 14 12 8 6 5 5 5 5 5 5 5 5 4 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 7 7 6 5 4 4 3 2 1 2 4 4 3 1 1 1 2 4 5 5 5 5 4 4 5 5 5 5 5 5 6 7 6 6 5 5 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 4 5 5 5 6 6 6 5 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 6 7 6 5 5 5 5 5 5 5 6 7 7 7 7 8 9 8 6 6 6 6 6 5 1 -2 1 3 2 -0 1 5 5 4 4 4 3 5 7 5 9 9 5 5 8 8 5 7 6 4 3 4 4 4 4 2 3 2 -8 -2 4 4 6 2 1 -2 3 7 6 3 -1 4 5 -3 -0 6 8 8 9 9 5 2 2 4 7 7 8 15 17 11 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 3 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 3 4 5 6 6 6 6 5 5 6 7 7 6 6 5 9 12 9 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 2 -2 -3 3 7 6 5 4 4 4 4 5 6 9 10 10 9 7 4 3 3 4 5 5 4 1 1 1 3 4 4 4 3 3 3 4 4 4 5 4 4 4 6 10 14 17 17 11 4 1 1 3 4 4 5 5 5 5 4 4 4 4 4 4 3 2 2 2 4 8 7 4 2 2 3 3 2 4 4 3 3 6 6 5 5 5 6 7 4 1 1 6 9 10 8 7 6 5 4 5 5 6 7 8 7 5 3 1 1 3 4 4 3 3 3 4 5 6 6 6 7 7 7 8 10 10 9 8 7 7 10 14 15 12 8 6 5 4 4 4 5 6 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 7 7 7 7 7 7 5 2 1 1 3 3 3 2 1 1 1 3 4 5 5 5 4 4 4 5 6 6 6 6 6 6 5 6 5 5 5 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 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 5 6 7 6 6 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 5 5 6 7 7 7 7 9 9 9 7 6 5 6 6 5 2 -2 -1 4 5 5 7 9 9 7 8 8 3 3 5 8 9 4 5 5 5 8 6 5 5 4 3 4 6 6 5 7 11 -0 -9 2 5 6 12 12 4 -1 0 2 5 6 5 9 7 4 2 5 4 4 6 7 5 3 3 5 9 11 14 19 16 8 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 2 2 3 3 3 3 3 4 4 4 5 5 5 6 5 5 5 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 9 18 18 12 8 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 -1 2 7 7 6 5 4 4 4 4 4 5 7 8 8 7 5 4 4 4 4 4 4 3 2 2 3 3 4 4 4 3 3 3 4 4 5 4 4 4 5 8 12 15 15 10 4 1 2 2 3 3 4 5 6 6 6 5 5 4 4 4 3 3 5 7 6 9 8 6 5 4 3 4 4 4 4 5 5 4 6 8 7 7 8 11 9 4 1 4 7 8 8 8 7 6 5 5 5 6 7 7 7 7 6 4 2 2 3 4 3 3 3 4 5 5 5 6 6 7 6 6 7 7 6 6 5 5 7 10 12 12 9 6 5 4 4 4 5 5 5 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 5 5 6 7 8 8 8 8 7 4 2 2 2 2 3 2 1 1 1 2 3 4 5 5 5 4 4 4 5 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 4 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 7 7 6 6 5 5 5 4 4 4 5 5 6 6 6 6 5 4 4 5 6 6 6 5 5 5 5 5 5 5 6 6 8 8 8 8 9 10 8 7 6 6 6 5 4 1 0 1 3 8 11 8 5 7 10 9 6 3 1 5 8 6 8 7 6 9 8 6 6 5 4 4 7 4 3 11 14 0 -5 2 4 7 14 14 0 0 1 0 6 7 5 9 7 10 7 7 7 9 10 8 4 3 2 4 8 11 15 18 12 5 3 3 3 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 4 4 4 4 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 7 15 20 20 18 15 12 11 9 7 6 6 7 6 6 7 7 5 5 6 6 5 5 5 5 5 6 6 3 4 8 9 8 6 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 3 2 3 2 3 4 4 5 4 3 3 3 4 4 5 4 4 4 6 9 12 11 6 3 2 2 2 2 2 3 4 6 6 6 6 5 5 5 4 4 3 9 15 11 6 6 6 5 4 3 3 4 5 5 8 8 6 8 9 7 7 8 10 12 8 3 3 5 7 8 9 8 7 6 5 5 5 6 6 6 7 8 7 6 5 3 3 4 3 3 4 4 5 5 6 6 6 6 6 6 6 5 4 4 4 5 7 8 8 8 6 5 4 4 4 5 5 5 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 6 7 8 8 8 8 6 5 4 3 2 2 2 2 1 1 2 2 3 4 5 5 4 4 4 4 5 5 6 6 6 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 4 4 3 3 4 4 3 4 6 6 5 4 4 4 4 4 6 6 6 6 6 6 6 5 5 5 5 5 6 7 7 7 7 6 5 5 5 6 6 6 6 6 5 4 5 6 6 6 7 8 9 9 9 10 10 10 8 6 6 6 5 4 4 0 -1 3 9 10 8 3 7 8 6 4 2 2 4 8 12 11 8 10 11 11 11 9 6 4 4 7 5 2 5 8 2 -0 2 4 9 13 8 -5 0 1 4 12 6 4 3 5 9 8 9 11 15 14 10 6 5 4 4 5 7 12 13 7 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 4 4 3 4 4 4 5 5 6 6 5 4 3 3 2 3 4 5 11 17 20 21 21 19 17 15 14 14 12 10 8 7 7 6 5 5 5 6 6 7 8 9 8 8 7 7 8 9 8 7 6 5 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 5 5 4 4 4 5 6 8 7 4 2 0 -0 0 2 2 3 3 4 5 6 5 4 3 4 3 3 3 7 16 14 6 6 6 4 4 4 4 5 7 10 11 10 8 8 9 7 5 6 7 8 8 6 5 6 7 7 8 8 8 7 6 5 5 5 5 6 7 7 6 4 5 4 3 3 4 4 5 5 5 5 5 5 6 6 7 7 8 7 6 5 6 6 7 6 6 6 6 5 4 4 4 5 5 5 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 5 6 6 6 6 7 7 7 6 5 4 3 3 3 3 2 2 2 2 4 5 5 4 4 3 3 3 3 5 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 3 4 6 6 6 4 4 4 3 4 5 6 6 7 7 6 6 6 5 5 5 6 7 8 8 8 8 8 6 6 5 6 6 6 6 6 5 4 5 6 7 7 7 8 9 10 11 11 11 10 8 7 6 6 5 5 4 1 1 6 9 4 2 2 6 8 6 1 2 3 4 8 13 11 9 13 13 13 15 15 9 3 1 6 8 1 -3 2 4 3 3 4 7 8 2 -1 2 3 8 9 3 2 6 10 8 3 7 13 12 10 8 7 7 8 8 7 9 13 11 5 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 4 3 3 4 4 4 5 5 6 6 5 5 4 3 3 3 4 5 9 12 15 18 19 20 20 21 20 18 17 14 10 8 8 7 7 8 11 13 16 16 16 15 12 9 6 7 8 8 8 7 6 5 5 5 4 2 2 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 6 4 -2 -4 -0 3 5 6 6 5 4 4 4 4 5 6 6 4 2 -2 -3 -2 0 2 2 2 3 3 2 0 -2 -2 -1 -1 0 5 12 12 6 6 6 4 4 4 4 6 8 11 11 9 6 6 8 7 5 4 4 5 6 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 7 6 5 3 3 4 3 4 4 4 5 5 5 5 5 5 5 6 7 8 8 8 9 8 9 10 9 8 7 6 6 5 5 4 3 4 5 4 3 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 nan nan nan 2 3 4 4 4 5 5 4 5 6 7 7 6 6 5 5 4 4 4 4 3 3 3 4 4 4 4 4 3 3 2 3 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 3 3 4 4 3 3 4 6 6 5 4 4 4 4 4 4 4 6 6 7 6 6 7 6 6 6 7 8 8 9 10 9 9 7 6 6 6 6 6 6 6 5 4 4 5 6 7 8 9 10 11 12 12 12 11 9 7 6 6 5 6 6 3 -0 2 4 -1 -0 4 5 1 5 7 9 5 3 4 7 9 11 11 8 8 14 18 13 5 1 3 7 4 -2 2 7 6 5 4 3 3 -3 3 4 6 9 4 3 3 8 11 8 1 2 12 12 8 7 7 7 7 8 11 16 16 9 4 3 3 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 7 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 6 7 8 10 13 15 16 15 16 17 17 17 15 13 13 15 17 18 18 19 21 21 20 16 8 5 6 6 6 6 6 7 6 5 5 5 3 3 3 3 4 5 5 5 4 4 5 5 5 5 5 5 5 9 9 0 -10 -10 -0 5 6 6 6 5 4 4 4 4 5 7 8 7 2 -4 -8 -7 -2 2 1 -1 -1 -1 -3 -7 -7 -7 -5 -2 2 6 7 5 5 6 6 6 7 6 6 7 7 6 6 5 5 6 7 5 4 4 4 5 6 7 7 7 7 7 7 7 8 7 6 6 5 5 6 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 6 7 7 8 8 9 11 12 12 10 8 7 7 7 6 4 3 3 4 4 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 1 3 4 5 4 4 4 3 4 4 5 6 7 7 7 6 6 5 5 6 5 4 3 3 3 3 4 3 3 3 3 3 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 3 3 3 4 4 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 4 3 3 3 3 3 3 3 4 4 3 3 4 4 4 5 5 5 5 5 4 4 5 4 4 4 5 6 6 7 7 7 7 8 7 8 8 9 11 12 12 10 8 7 6 6 6 6 6 5 5 4 5 5 7 8 9 10 11 12 12 13 14 12 10 8 7 6 5 6 9 6 -2 -5 -1 -1 4 6 6 -3 6 16 15 6 2 1 2 6 10 7 3 3 8 13 13 10 8 5 3 5 2 2 8 8 8 4 1 2 -0 4 5 7 6 4 2 2 8 11 8 4 6 8 9 9 8 7 6 5 6 12 19 15 7 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 7 6 5 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 6 7 7 8 9 10 13 17 17 16 15 14 13 12 10 9 11 14 16 13 6 4 4 3 4 5 5 6 7 6 6 5 5 5 3 0 1 4 4 1 2 4 6 6 6 6 6 6 8 12 16 10 -2 -9 -4 4 6 7 6 6 5 4 4 4 5 6 9 11 9 4 -6 -12 -9 -2 -1 -5 -5 -5 -4 -4 -5 -6 -4 -0 1 2 3 4 6 7 8 9 11 12 10 6 5 3 3 4 4 5 6 6 5 3 3 4 6 7 7 6 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 7 7 9 10 11 11 10 8 8 7 8 9 8 5 4 4 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 1 2 3 4 5 5 4 3 3 3 3 4 6 7 7 6 6 5 6 7 6 5 4 4 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 3 3 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 5 4 4 4 5 6 6 7 8 9 8 8 8 8 10 13 15 14 12 10 9 7 6 6 5 5 5 4 4 5 6 7 9 10 11 12 13 12 14 15 13 10 8 7 6 5 5 7 7 1 -2 1 6 9 4 3 2 5 17 10 8 3 2 1 2 4 6 7 4 2 5 9 10 11 8 3 3 2 1 4 7 8 5 5 5 5 6 7 8 5 4 4 6 7 11 9 8 8 6 4 7 9 7 6 5 5 14 18 11 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 7 7 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 5 6 6 5 5 6 7 8 9 10 8 3 1 2 3 3 3 4 6 6 4 3 2 1 2 3 4 5 5 6 6 6 6 7 7 2 -2 1 4 -3 -8 -2 4 6 7 7 7 7 9 14 20 17 7 2 1 3 6 7 7 6 5 5 5 5 5 5 6 9 12 12 5 -7 -12 -9 -6 -6 -5 -3 -1 0 2 3 2 2 3 3 3 5 5 6 7 7 10 14 12 7 5 4 3 4 3 3 4 7 7 4 3 4 5 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 4 3 3 4 4 4 3 4 5 5 5 7 7 7 8 8 8 9 8 8 8 11 14 13 11 6 4 3 2 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 2 3 4 4 4 4 4 3 3 3 3 4 5 6 6 6 6 6 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 4 3 3 2 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 6 7 8 8 8 8 8 9 12 16 18 16 14 11 9 7 6 5 5 5 5 4 4 5 7 8 9 11 12 13 14 14 14 15 13 11 8 7 5 4 3 4 5 4 5 7 13 10 7 2 6 1 9 5 12 5 3 2 3 1 3 9 8 2 2 6 7 8 6 4 4 4 2 2 6 7 7 7 6 5 8 8 6 4 4 7 9 4 7 7 8 6 4 4 6 7 6 6 5 9 18 17 7 3 3 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 6 6 5 5 5 5 4 3 3 3 1 -1 -2 2 3 3 3 3 3 3 2 1 1 1 2 3 4 4 5 5 6 6 8 10 10 4 4 8 3 -10 -15 -6 3 6 7 7 7 8 11 18 20 9 5 7 6 5 5 5 5 5 4 3 4 5 4 2 3 7 12 11 2 -5 -6 -4 -2 -1 0 1 2 4 5 5 5 5 5 5 7 6 6 6 3 2 7 9 7 6 5 5 5 4 4 4 5 7 6 5 4 5 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 5 6 6 6 5 5 5 4 4 4 4 4 4 3 4 4 5 6 6 7 6 6 6 6 7 7 8 10 13 18 22 17 7 2 1 1 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 4 4 3 3 3 3 4 4 4 4 3 3 3 4 5 5 5 5 6 6 6 5 5 4 4 4 5 5 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 4 4 3 2 3 4 4 4 3 3 4 4 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 6 7 7 8 7 7 8 11 14 19 21 19 15 12 9 7 6 5 5 6 5 4 4 5 6 8 10 12 13 14 15 15 14 13 12 11 8 6 4 2 2 3 4 5 7 10 11 7 7 5 9 0 4 10 14 6 5 4 3 1 2 10 7 1 1 4 5 4 4 6 7 5 6 8 9 9 8 4 1 3 10 10 5 2 3 7 9 4 3 4 5 4 0 3 6 7 7 6 6 12 19 14 5 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 4 4 4 5 6 5 3 2 2 2 -0 -1 2 4 4 3 2 3 2 1 0 1 1 2 3 4 3 4 4 5 6 6 9 13 12 10 15 15 3 -12 -16 -8 -1 1 2 3 5 7 10 14 10 6 7 7 5 4 3 3 3 1 -1 -4 -1 1 -2 -5 -2 6 10 8 5 4 3 1 1 1 -1 1 4 3 3 5 6 8 8 9 10 9 8 7 0 1 6 5 5 5 6 6 6 5 4 4 6 7 6 6 6 6 6 6 8 9 8 8 8 8 7 7 8 8 8 7 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 3 4 5 6 6 6 6 5 4 4 4 5 8 11 14 19 26 20 8 2 2 1 1 1 1 2 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 3 4 4 4 3 2 2 2 3 4 5 5 4 3 4 4 4 4 3 4 5 6 6 5 5 4 5 4 4 5 4 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 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 2 3 3 3 3 3 3 3 4 4 4 3 4 4 4 3 3 3 4 4 3 2 3 4 4 4 4 3 3 4 4 3 2 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 6 6 6 6 7 7 7 7 9 11 15 20 22 21 17 12 9 7 6 6 6 6 5 4 4 3 5 8 10 12 14 15 15 15 13 12 11 10 8 6 4 1 1 4 5 7 10 10 6 7 0 4 6 4 3 14 12 6 7 4 3 2 5 12 3 -4 -0 2 4 4 3 4 4 4 10 13 10 10 10 3 -0 3 8 11 6 3 5 9 8 3 1 1 2 3 -0 3 5 6 7 6 6 15 20 12 5 4 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 5 5 4 4 3 4 3 4 3 4 4 4 5 5 4 4 4 3 3 3 3 4 4 3 2 3 6 8 9 8 5 3 3 2 2 3 4 3 2 1 1 1 1 0 1 2 2 3 3 3 3 4 4 5 5 6 9 11 12 18 20 12 1 -13 -17 -10 -8 -6 -7 -2 4 5 7 7 7 7 7 6 3 2 1 -0 -2 -4 -7 -8 -4 -3 -6 -6 1 6 8 8 7 6 5 4 3 1 3 7 8 6 7 11 12 11 9 7 8 10 8 6 3 4 5 5 5 6 7 7 7 5 4 4 5 7 7 6 6 5 5 8 10 9 7 7 7 7 7 8 8 7 8 7 6 6 7 6 6 6 6 6 5 5 4 4 3 4 4 4 4 4 5 6 5 5 4 3 3 3 5 7 10 15 19 21 17 8 3 3 2 2 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 3 3 2 2 2 3 3 3 4 5 5 4 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 4 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3 2 3 3 4 4 4 4 3 4 3 3 3 4 4 3 3 2 4 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 8 9 11 15 19 23 23 19 13 10 7 6 6 5 6 5 4 3 3 4 7 10 13 14 14 14 12 11 10 10 10 8 6 3 2 3 6 9 11 11 5 5 12 3 4 1 5 -1 9 7 5 6 4 6 6 6 6 0 -2 0 -0 3 5 2 3 3 1 6 8 5 8 11 5 2 5 6 8 5 4 8 14 9 1 1 0 -1 2 5 3 2 3 6 5 7 19 21 9 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 2 2 3 5 8 11 13 11 8 5 3 4 4 4 4 2 1 1 1 0 0 1 2 3 3 4 4 3 4 4 4 5 5 6 7 10 17 22 14 5 1 -7 -9 -9 -9 -13 -13 -5 0 4 5 6 7 8 8 5 3 4 2 -1 -1 -1 -3 -2 1 2 0 2 6 7 8 9 6 5 6 7 9 9 10 15 13 10 13 13 11 9 4 2 6 6 5 5 4 4 4 5 6 6 7 7 6 4 3 4 5 6 7 6 5 4 7 10 8 7 6 6 6 7 7 7 8 8 8 7 7 7 6 6 7 6 6 6 6 5 5 4 4 4 4 3 4 5 5 5 4 4 4 4 4 4 6 9 13 16 16 12 7 4 2 2 2 1 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 3 4 4 3 3 2 2 2 2 2 3 5 5 4 3 3 3 3 3 4 3 4 4 4 4 3 3 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 4 4 4 4 4 5 4 4 5 4 4 4 4 5 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 3 4 3 3 3 4 4 3 3 4 3 4 4 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 5 5 6 7 7 7 7 8 8 10 12 15 19 23 23 18 14 9 6 5 5 4 4 5 4 2 2 4 6 10 13 14 14 13 10 8 8 9 9 8 6 3 1 4 7 10 11 8 1 5 10 5 2 4 5 -2 1 2 4 1 5 12 14 9 5 4 3 2 -0 2 3 4 11 8 1 1 4 3 6 10 7 3 5 6 5 3 4 9 11 6 5 5 2 -2 3 9 5 2 3 3 5 10 22 20 6 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 5 5 5 6 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 2 2 2 2 4 6 9 13 13 11 7 4 4 4 4 4 3 2 1 1 1 1 1 3 3 4 4 4 4 4 4 4 4 5 5 6 8 14 25 22 10 8 5 2 1 -1 -8 -15 -14 -10 -4 2 5 6 7 10 9 6 9 11 7 4 5 5 5 5 6 6 6 6 7 7 7 5 4 5 10 14 12 9 13 14 13 10 7 6 7 5 1 3 4 5 5 4 4 4 4 5 6 6 7 6 5 3 2 3 5 7 7 6 4 6 8 8 7 5 5 5 6 7 7 7 8 8 9 9 9 7 6 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 10 12 12 10 7 4 3 2 2 1 0 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 5 5 4 4 3 2 1 1 2 4 4 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3 4 5 5 5 5 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 6 7 7 8 8 8 9 12 16 19 21 23 22 18 13 9 6 4 3 3 4 5 4 3 3 3 6 9 13 14 13 11 9 7 6 7 8 7 5 2 1 4 5 9 11 7 2 4 4 2 3 13 10 0 -6 -4 3 -2 7 15 15 15 13 10 8 4 3 2 2 10 15 10 3 4 4 3 6 8 6 3 4 5 3 4 6 9 7 5 10 9 4 2 5 8 4 4 6 5 8 15 24 18 6 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 5 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 3 2 2 3 3 4 6 8 10 10 8 6 5 4 4 4 2 1 1 0 1 2 2 3 4 4 4 4 4 4 4 3 4 4 5 5 6 8 17 26 24 15 8 7 9 8 1 -6 -10 -13 -13 -5 1 3 3 6 8 7 11 14 11 6 6 6 6 6 7 7 6 6 6 6 5 6 6 4 8 12 9 6 7 8 6 5 3 2 3 4 2 3 4 5 5 5 5 4 5 5 5 6 7 7 5 4 2 2 4 6 5 5 5 5 5 6 4 3 4 5 5 5 5 6 7 8 9 10 10 9 8 8 9 8 7 6 7 7 7 7 6 5 4 3 4 4 4 4 4 5 5 5 6 6 6 7 8 8 9 7 5 4 4 3 2 0 -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 4 4 5 6 7 7 6 5 5 4 3 2 1 1 2 3 3 2 3 3 3 4 4 4 4 4 4 4 3 2 2 2 3 3 4 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 5 5 6 7 8 8 9 13 22 28 28 26 24 20 16 12 8 6 4 3 3 4 5 5 4 4 4 5 8 12 13 11 10 8 6 5 5 6 5 3 1 1 2 5 9 10 8 5 7 6 1 4 18 16 7 -1 -4 3 3 6 8 8 17 16 10 9 7 5 3 4 12 13 7 3 7 5 2 5 10 7 2 4 5 3 4 8 10 8 9 13 8 4 6 7 5 4 6 7 7 9 19 25 16 5 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 4 4 3 3 3 3 3 4 5 5 4 4 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 4 6 7 7 5 4 4 3 3 2 1 1 1 2 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 7 15 26 26 15 13 14 11 6 3 2 -3 -11 -11 -5 -4 -3 -1 0 2 5 9 8 6 5 4 5 6 7 6 5 7 8 8 6 7 10 9 6 6 5 4 4 4 2 2 1 1 2 2 3 3 3 4 5 5 5 5 6 6 6 6 7 7 6 5 3 2 3 4 4 4 5 5 4 5 4 3 3 4 6 6 1 3 6 7 10 10 10 11 10 10 9 9 9 8 7 7 8 8 8 7 5 4 3 3 4 4 5 5 5 5 6 6 5 5 6 6 7 8 7 6 5 4 2 0 -1 -2 -0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 4 5 7 7 7 7 5 5 5 4 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 5 4 5 5 4 4 3 3 3 4 5 4 5 5 6 6 7 8 7 12 25 39 41 37 30 24 18 13 10 8 6 4 4 4 5 5 5 5 5 5 5 8 12 12 11 8 7 5 4 3 2 -0 1 2 1 2 6 10 7 5 5 12 10 4 4 11 13 10 5 5 9 10 6 1 3 12 11 6 7 7 6 5 7 10 10 3 1 5 6 3 7 12 7 1 4 7 4 3 6 8 8 10 11 5 4 8 8 4 4 5 7 7 8 18 23 13 5 4 4 4 3 3 3 3 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 3 3 4 4 4 5 6 7 6 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 2 2 1 1 1 2 3 4 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 11 20 22 22 23 19 13 8 8 7 0 -6 -5 -5 -6 -3 -2 -2 1 4 5 5 4 2 4 6 6 5 5 9 13 12 9 11 13 10 5 3 3 3 3 4 4 3 3 3 2 2 2 2 3 4 4 5 5 6 7 6 7 7 7 7 7 6 4 2 2 3 4 4 4 4 5 5 5 3 3 4 5 8 4 1 4 5 7 8 11 11 12 11 11 10 10 9 8 8 9 9 9 8 6 4 3 3 3 4 5 5 4 4 5 5 6 6 6 7 8 8 9 8 7 5 3 1 -1 -4 -3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 4 5 7 7 6 5 5 5 5 5 4 4 3 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 2 3 3 3 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 3 3 2 3 3 3 2 3 3 3 3 3 3 3 3 4 3 3 4 4 4 3 2 3 4 4 4 4 4 3 3 3 3 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 8 8 21 42 45 37 34 28 20 14 11 10 8 7 5 4 4 5 6 6 6 6 5 6 8 10 11 10 8 6 5 3 -1 -4 -2 2 2 2 5 5 6 3 1 5 9 10 9 7 8 10 7 2 7 14 14 7 1 2 5 3 3 6 5 7 6 9 9 5 2 1 5 5 3 7 8 4 6 12 12 4 0 2 3 5 7 7 5 5 8 6 4 3 5 6 6 7 13 18 16 9 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 5 4 3 3 4 4 4 4 6 7 7 6 5 4 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 2 2 1 1 2 2 1 2 2 1 2 2 2 2 2 2 2 2 2 3 3 4 5 6 6 5 4 4 3 3 3 4 4 4 3 4 3 3 4 3 4 4 7 12 16 22 25 21 15 13 13 10 8 8 5 1 1 3 4 4 5 7 7 6 6 7 5 5 4 5 12 16 15 13 12 10 6 3 2 2 3 3 3 3 4 4 4 4 4 3 2 3 4 4 4 5 6 7 7 8 8 7 7 7 6 5 3 3 3 4 3 3 4 5 6 5 4 3 3 4 5 6 4 4 4 4 5 8 10 12 12 12 11 10 9 9 9 9 9 10 9 8 5 4 3 3 4 5 5 5 4 4 4 5 6 6 7 7 9 10 10 9 7 6 3 0 -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 4 4 4 4 6 5 5 5 5 5 5 6 6 6 6 5 5 5 4 3 3 2 2 3 4 4 5 5 5 5 5 4 5 4 4 4 4 4 4 4 3 2 2 2 3 3 3 4 3 3 4 3 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 3 3 3 3 3 2 3 3 4 4 3 3 3 3 3 3 3 4 4 4 3 3 3 4 5 5 5 4 3 3 3 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 9 14 32 42 26 16 21 21 14 9 9 10 10 8 6 4 3 5 7 7 7 7 6 7 8 10 11 8 7 6 4 -0 -5 -5 -1 2 4 3 5 5 4 4 5 7 6 8 8 4 5 9 5 1 3 11 13 7 2 1 1 1 5 10 7 5 5 5 8 5 3 5 6 2 1 5 5 3 8 16 13 1 -1 0 1 2 5 6 8 9 10 6 4 4 4 4 7 9 11 13 20 15 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 5 4 3 3 3 4 4 4 5 7 8 7 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 1 1 2 2 2 2 1 1 1 1 2 2 2 2 3 3 4 4 5 5 6 6 5 4 4 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 6 10 15 19 18 16 18 16 17 23 22 13 8 10 10 7 8 13 14 11 13 13 7 8 7 5 11 15 13 11 9 6 3 2 1 1 2 3 3 3 3 4 4 6 7 5 3 3 4 4 4 5 6 7 8 8 9 8 7 7 7 6 4 4 3 3 3 4 5 6 6 6 5 3 3 3 3 4 4 4 4 4 4 5 8 10 12 12 12 10 9 9 8 8 9 10 9 8 7 6 4 3 3 4 5 4 4 3 4 5 5 6 5 6 8 9 11 12 11 9 6 3 -1 -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 5 6 5 4 4 4 4 3 4 4 5 5 7 7 7 8 7 7 6 6 4 3 2 2 3 3 4 4 3 4 4 4 5 4 5 4 4 4 4 5 4 4 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 5 4 4 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 4 4 3 3 3 3 3 3 3 4 3 3 3 4 4 5 5 5 4 3 3 3 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 7 8 12 21 33 26 6 1 10 14 7 4 7 10 11 10 6 3 3 4 6 8 8 7 7 7 8 10 9 8 6 5 0 -5 -6 -1 2 4 5 2 3 7 5 6 11 10 4 3 5 2 4 4 3 4 4 7 9 7 4 3 5 5 9 13 8 2 1 3 8 5 3 7 6 5 3 4 6 3 6 12 7 -1 -1 1 -0 -1 3 6 8 16 16 9 6 5 2 1 5 7 7 15 24 18 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 4 4 6 8 8 7 6 5 5 4 4 3 3 3 2 2 2 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 4 4 6 10 12 12 13 13 12 19 26 25 16 16 15 9 8 11 15 15 13 14 13 12 11 7 9 12 11 9 6 4 2 2 1 1 2 3 3 3 3 4 5 8 10 6 3 3 4 4 4 4 5 6 8 9 9 9 8 7 7 7 5 4 3 4 5 5 5 6 7 7 6 4 3 3 4 4 4 4 4 4 3 4 5 8 10 11 12 11 10 9 8 7 8 8 8 8 8 7 6 5 4 3 4 4 4 3 4 5 5 5 4 5 5 7 10 12 13 12 10 7 2 -1 -0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 6 5 4 3 3 3 3 4 4 5 6 8 9 9 9 8 7 7 6 5 4 3 3 3 3 3 3 3 3 3 4 4 5 4 3 4 3 3 4 4 4 3 3 3 2 2 2 2 3 3 3 3 4 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 3 3 4 5 5 5 5 4 3 3 4 5 5 5 4 5 5 5 5 4 4 5 5 6 6 5 6 6 7 10 16 26 31 16 3 1 6 10 4 1 6 10 12 11 7 4 3 3 6 8 8 8 7 7 8 9 9 8 5 1 -5 -7 -3 3 5 4 4 0 4 11 5 5 7 5 2 1 4 5 5 1 2 7 7 6 7 6 5 8 12 11 12 12 6 1 -1 4 10 5 1 6 8 7 5 6 10 4 5 7 4 1 1 4 3 0 2 6 10 19 17 9 4 2 -0 0 5 6 4 17 27 15 4 4 5 4 4 4 4 4 5 4 4 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 5 7 9 9 7 5 5 4 4 3 3 3 2 2 3 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 7 7 7 7 7 8 12 18 17 17 16 10 8 7 8 9 8 8 9 9 10 9 9 10 10 9 6 4 3 2 2 2 2 2 3 3 3 5 8 11 10 7 4 3 4 4 4 4 5 6 7 9 9 9 9 8 7 7 6 5 4 5 5 5 6 7 8 8 6 5 4 3 3 4 4 4 4 4 4 4 5 6 7 9 11 12 11 10 10 8 8 8 8 7 8 7 7 6 5 4 3 4 3 3 5 5 6 6 5 4 4 5 7 10 12 13 11 9 6 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 6 6 5 4 3 3 2 2 3 3 5 6 8 9 9 8 8 8 7 6 5 4 4 3 3 2 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 5 5 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 8 14 22 28 27 14 8 7 6 9 2 -1 4 11 14 13 9 6 3 3 5 7 9 8 7 8 9 10 10 7 2 -5 -8 -4 3 5 4 -1 -0 4 8 14 6 5 -0 -2 4 7 6 6 3 -1 2 7 7 8 6 3 3 7 13 13 11 7 3 0 1 8 11 4 -5 1 5 3 2 5 11 6 6 4 4 4 0 6 9 7 6 9 16 20 12 7 3 -0 -3 1 7 9 6 18 26 12 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 4 3 4 3 3 4 4 3 3 4 4 4 4 3 4 6 8 9 8 7 5 5 4 3 3 3 3 2 3 3 3 4 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 5 4 4 4 5 4 4 4 3 3 4 3 3 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 8 9 9 7 6 6 5 5 3 3 3 5 6 7 8 9 10 9 7 5 3 3 2 2 1 2 3 3 5 7 11 13 12 7 4 3 3 4 4 4 5 6 8 8 9 9 9 8 7 7 7 6 4 4 4 5 6 7 8 8 6 5 4 4 3 3 4 4 4 4 4 4 4 4 5 8 9 11 12 12 11 11 10 9 8 8 8 8 8 8 7 5 3 3 3 4 5 6 6 6 6 5 4 4 5 6 8 10 10 9 7 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 6 6 5 5 4 3 2 1 1 2 3 4 6 7 8 7 7 7 8 7 6 5 4 3 3 2 3 3 3 2 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 5 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 5 5 5 5 5 6 6 6 6 6 7 13 21 26 25 19 10 10 9 4 5 -2 -5 2 11 15 14 12 8 3 2 4 7 9 9 8 9 10 11 9 4 -4 -8 -5 1 4 2 -1 1 4 6 7 9 7 2 -3 0 8 10 8 6 3 2 6 7 7 9 7 3 3 6 10 13 9 3 0 2 5 11 9 0 -2 2 5 1 -6 -3 9 9 9 4 5 4 -1 4 10 10 9 11 16 21 16 8 2 -2 -5 3 11 10 6 17 26 14 4 4 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 3 3 4 3 4 5 4 4 3 3 5 6 7 8 7 6 6 5 4 4 4 3 3 3 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 5 5 5 5 5 6 7 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 4 5 5 4 4 3 4 4 4 4 4 5 5 4 4 4 4 4 5 7 8 9 9 8 6 5 4 3 2 2 3 3 3 6 10 14 15 12 7 4 3 4 4 3 4 5 6 7 8 9 10 9 7 7 7 7 7 6 4 4 4 4 6 7 7 7 6 5 4 3 3 3 3 3 4 4 4 3 3 4 6 8 10 11 13 13 13 12 11 9 8 8 9 10 11 10 7 5 3 4 5 6 6 6 5 5 6 5 5 4 4 4 5 6 7 6 5 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 4 4 5 5 5 6 6 6 5 3 2 1 0 1 3 4 5 6 6 6 7 8 8 7 6 5 4 4 4 4 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 4 5 4 5 5 4 3 2 2 2 3 3 3 3 2 3 3 3 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 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 6 5 4 5 5 6 6 6 7 7 7 10 20 28 25 17 8 1 1 -2 -4 -2 -6 -6 1 9 14 15 14 9 3 -0 2 7 10 10 10 11 12 11 6 -3 -9 -6 -1 2 2 -0 -2 1 6 6 4 5 5 -1 2 7 9 8 6 2 3 6 12 6 5 10 8 6 8 10 8 8 6 3 2 5 7 8 4 -1 6 11 12 5 -9 -7 6 12 9 6 4 1 0 3 5 8 13 14 13 20 25 12 0 -6 -4 7 14 9 6 16 26 16 5 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 5 4 4 3 2 2 3 3 3 3 4 4 4 4 4 3 3 3 4 5 6 7 6 6 5 5 4 4 4 4 5 5 5 6 6 6 6 7 6 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 6 7 7 8 6 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 5 5 5 4 5 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 5 6 7 8 8 7 6 5 5 4 3 3 3 4 4 7 10 14 15 11 7 4 4 3 3 4 4 5 6 7 8 9 10 9 8 6 6 7 6 7 6 4 3 4 5 6 7 7 6 6 4 3 2 2 2 3 3 3 3 3 3 2 3 5 7 10 12 13 13 13 12 11 9 9 11 13 14 13 10 7 4 4 5 5 6 6 5 4 5 6 6 5 4 3 3 3 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 5 5 6 6 6 5 4 3 2 1 1 2 4 4 5 5 6 7 8 7 7 6 5 5 5 5 4 3 3 3 3 3 3 3 2 3 4 4 3 3 3 3 3 4 4 5 5 5 4 3 2 2 2 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 6 5 5 5 5 5 5 4 5 5 4 4 5 4 5 4 4 4 4 4 5 4 4 3 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 8 8 9 12 19 27 28 18 10 0 -2 -8 -13 -12 -7 -5 -3 3 8 11 12 11 8 2 -3 0 9 13 13 12 13 12 9 1 -7 -8 -0 2 -0 0 3 4 2 1 -2 -1 3 2 1 7 12 9 5 6 2 4 8 9 5 9 14 11 8 12 15 8 2 1 3 7 8 7 3 2 4 8 7 7 7 -5 -5 11 18 5 4 4 -1 4 7 2 3 12 15 15 25 30 15 -1 -8 -3 9 13 5 5 16 28 19 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 4 4 4 5 4 3 3 2 2 3 5 6 6 5 5 5 5 4 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 6 5 5 5 5 5 5 6 6 7 9 10 8 6 4 3 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 5 6 5 5 4 4 5 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 6 7 7 6 5 5 5 4 4 4 4 5 7 10 13 13 10 6 4 2 2 3 4 4 5 6 7 7 8 9 9 8 7 6 5 6 6 6 5 3 3 3 5 7 7 6 6 6 5 3 2 1 3 3 3 3 3 2 2 2 3 5 7 9 11 12 12 12 12 11 10 12 16 19 17 12 8 6 5 5 5 6 6 5 4 5 6 8 8 7 5 4 4 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 5 5 5 6 7 7 7 5 3 2 2 2 2 4 4 4 4 6 7 7 7 6 6 6 6 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 4 3 2 3 2 2 2 2 2 2 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 6 5 5 5 5 5 4 4 5 5 5 4 4 4 5 4 4 4 4 4 4 3 4 3 3 3 3 5 6 6 6 6 6 6 6 6 6 6 5 5 7 8 9 10 11 14 19 26 29 21 7 4 5 6 -6 -15 -12 -7 -2 1 4 7 8 7 7 6 0 -2 3 14 19 15 13 14 13 7 -3 -8 -4 2 4 2 2 3 9 11 7 1 -4 -2 -2 1 8 14 10 7 8 6 9 11 3 9 19 19 12 6 10 14 12 3 -2 3 8 7 2 -1 0 5 5 2 2 3 1 1 16 21 2 0 4 0 5 5 -1 1 9 11 20 32 31 14 -1 -6 1 10 9 3 4 14 30 22 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 5 4 4 4 5 5 5 6 6 6 5 5 5 5 4 3 3 3 4 4 4 4 3 3 3 4 4 4 3 2 2 3 5 6 5 4 4 4 4 5 5 5 6 6 7 7 6 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 7 7 9 10 8 5 4 3 4 3 3 3 4 5 5 5 5 5 5 5 5 5 6 5 5 6 5 4 5 5 4 4 4 5 4 4 4 4 4 4 5 4 3 4 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 5 5 7 8 9 10 9 6 4 1 -0 2 3 4 5 6 7 6 7 9 9 9 8 7 5 5 5 6 5 4 3 2 3 6 8 7 7 6 5 3 2 1 2 3 3 3 2 2 3 2 2 3 4 7 7 8 10 13 16 15 13 13 17 21 19 13 8 6 5 4 5 6 6 5 4 4 6 8 9 8 8 6 5 5 4 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 6 6 6 6 6 7 8 8 7 5 4 3 3 3 3 3 4 3 4 5 6 6 6 6 6 5 5 5 6 5 4 5 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 5 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 2 3 4 5 5 6 6 6 6 6 6 6 6 5 5 6 7 9 11 13 15 17 21 24 22 14 -0 -3 8 3 -10 -15 -9 -4 1 3 4 6 6 4 3 2 0 1 8 20 23 17 14 15 11 2 -5 -5 -2 4 7 8 8 5 5 7 8 8 3 -1 -1 3 7 11 12 13 10 10 12 9 -0 11 24 21 10 5 5 8 11 5 0 4 6 1 -4 -5 -0 7 9 5 0 -1 4 8 18 14 -1 -2 2 4 7 -1 -2 5 8 6 22 37 28 10 -2 -3 5 12 8 4 4 14 27 22 6 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 6 5 5 4 4 5 5 4 3 3 3 4 5 4 4 4 4 4 3 3 3 3 2 3 4 5 5 4 3 3 3 4 5 5 5 5 6 6 5 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 6 6 7 7 6 4 4 3 3 4 4 4 5 5 5 5 5 6 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 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 7 8 7 5 3 2 1 1 2 4 5 6 6 6 6 7 9 9 9 8 7 6 5 5 5 4 3 2 2 6 8 8 8 6 4 4 2 2 3 4 4 4 2 2 2 3 2 3 4 5 5 5 9 16 21 23 19 16 17 18 16 11 7 5 4 4 5 6 6 5 4 4 5 7 9 9 8 8 7 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 7 7 6 6 6 6 7 7 7 7 6 5 5 4 3 4 4 3 3 3 3 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 4 5 5 6 6 6 7 7 6 6 6 7 8 7 5 3 2 2 1 2 1 1 1 2 2 3 3 3 3 3 3 3 3 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 6 6 5 5 6 5 5 4 4 4 3 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 7 8 10 14 17 17 16 16 15 12 8 -2 -8 -7 -19 -21 -14 -5 1 4 5 4 4 4 3 2 1 2 4 11 22 26 19 15 12 4 -1 -3 -2 2 5 8 8 10 11 8 3 1 2 2 1 3 6 8 11 17 20 13 11 9 5 4 8 19 17 8 5 3 2 5 6 6 8 5 -1 -5 -4 2 10 15 10 5 1 1 8 14 12 1 -3 -3 8 14 2 -0 4 4 7 26 36 23 6 -2 1 8 12 8 5 6 16 26 18 6 5 5 4 4 4 4 4 4 5 5 4 5 4 4 3 4 4 4 4 5 5 5 5 4 5 4 4 4 4 3 4 4 4 5 5 5 5 4 4 3 2 3 3 2 3 4 5 4 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 5 5 4 4 4 3 3 3 4 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 5 6 7 6 6 5 3 2 1 1 2 4 5 5 5 5 5 6 7 8 9 9 9 8 7 6 5 5 3 2 2 5 7 8 8 7 6 5 4 4 4 5 5 5 4 2 2 3 3 3 4 4 3 4 8 18 31 38 30 17 13 15 12 7 5 5 5 5 5 6 6 6 5 4 5 6 8 8 8 8 8 8 8 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 7 6 6 6 6 6 7 6 6 6 6 5 5 5 5 5 5 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 7 6 7 8 9 8 4 2 2 2 1 1 1 1 2 2 2 3 3 3 3 3 2 3 3 3 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 8 10 13 16 19 16 13 9 4 0 -1 -3 -7 -14 -19 -15 -5 0 3 5 6 5 4 3 2 3 4 5 6 10 21 27 21 13 6 -1 -2 -0 -0 6 5 5 4 7 11 7 2 3 2 0 -0 4 7 7 12 19 20 15 10 8 7 4 6 16 15 9 5 2 -1 1 6 13 14 7 1 -1 -0 6 13 13 9 10 7 1 3 9 16 13 4 -2 7 13 9 2 0 4 18 30 28 14 3 -0 4 10 10 6 5 8 17 26 16 5 5 5 4 4 4 4 4 4 5 5 5 4 3 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 3 3 2 2 3 3 3 3 3 3 3 4 5 5 4 4 4 3 3 2 2 2 2 3 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 2 2 3 3 3 4 5 4 5 5 4 5 5 5 5 4 4 3 4 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 5 4 4 4 5 4 4 4 3 3 3 3 4 5 5 5 5 5 5 5 4 5 5 6 7 7 6 4 4 4 2 1 3 4 4 5 6 5 5 5 5 6 8 9 10 10 9 7 7 5 4 3 2 3 5 6 6 6 7 8 7 5 5 5 5 5 5 3 2 2 3 3 5 5 4 3 7 17 37 49 36 17 11 11 9 6 5 6 7 6 5 4 5 4 4 4 4 4 6 7 7 8 8 9 9 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 6 6 6 5 5 5 7 7 7 6 6 6 5 5 6 6 6 6 5 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 4 6 6 7 7 7 8 8 10 10 8 4 2 2 2 2 1 1 1 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 3 4 4 3 3 3 3 2 2 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 5 6 6 5 5 6 5 6 7 6 7 10 10 13 16 15 15 13 10 3 -4 -5 -3 0 -0 -2 -0 0 2 3 4 5 6 5 4 3 4 6 8 8 7 8 17 26 20 10 2 -1 -1 -2 -1 5 4 0 0 5 8 1 -1 3 6 4 3 8 7 6 9 11 13 14 12 9 7 6 11 17 17 10 5 1 -0 0 5 13 14 8 5 2 2 11 17 9 2 5 10 6 3 6 16 18 12 3 3 3 11 11 9 12 23 25 18 6 -0 1 5 8 7 4 3 8 20 27 16 5 5 5 5 5 4 5 4 5 5 5 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 5 4 3 3 2 2 3 3 2 3 3 4 5 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 5 5 5 6 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 2 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 5 4 5 5 4 4 5 5 4 4 4 4 4 3 3 3 4 5 5 5 6 5 5 5 5 6 7 8 8 6 3 3 3 2 3 3 4 4 5 5 5 4 4 4 5 6 7 9 10 10 10 9 7 5 4 3 3 4 4 4 4 5 8 7 4 4 4 5 5 5 4 2 2 2 3 4 5 4 4 6 12 27 40 34 18 12 11 10 11 11 10 9 8 6 4 3 3 3 3 4 4 5 6 7 7 8 9 9 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 5 4 5 5 5 6 7 6 6 6 5 5 5 5 5 6 6 6 6 4 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 7 8 8 8 10 11 11 7 4 2 2 2 2 1 1 2 2 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 3 3 3 2 2 3 2 3 3 3 3 4 4 5 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 6 6 7 7 9 12 11 12 11 9 10 11 10 2 3 9 10 11 10 9 7 4 4 4 5 5 6 6 5 4 4 8 10 9 7 8 16 24 19 8 2 1 2 2 4 5 3 -3 0 6 5 3 3 4 4 4 6 9 4 3 5 3 4 8 8 7 9 11 13 15 16 9 5 3 2 1 5 8 8 5 6 6 7 11 9 1 -1 4 11 8 2 6 10 10 8 6 4 -2 1 17 23 19 19 15 6 -3 -1 2 5 7 6 4 4 9 21 25 13 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 6 6 6 5 4 4 3 2 2 3 2 2 3 4 5 5 4 4 3 3 3 4 3 3 3 3 2 2 3 2 2 3 3 3 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 3 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 8 10 8 5 3 2 1 2 3 3 3 4 4 4 5 4 4 3 3 4 5 7 9 10 11 11 9 7 5 4 4 4 4 4 3 3 3 2 2 2 3 4 5 5 5 3 2 2 2 3 4 4 4 5 7 12 19 21 16 13 14 17 19 19 16 11 8 7 6 4 3 2 2 3 4 4 5 6 6 7 7 7 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 3 3 4 4 4 4 4 4 5 6 7 7 6 6 5 4 4 4 5 6 7 7 5 5 4 4 3 3 4 5 6 5 5 5 4 3 4 3 4 4 4 3 3 3 3 3 3 5 6 8 9 9 9 10 12 10 6 4 3 2 2 1 1 2 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 4 4 4 4 4 5 5 6 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 12 14 11 8 6 6 9 11 10 7 15 26 22 16 13 9 6 5 6 6 5 5 5 6 6 4 6 10 11 8 7 8 16 21 16 9 5 2 2 5 8 8 4 0 3 4 2 7 11 11 8 6 12 6 -1 1 4 2 1 3 4 7 9 7 8 10 11 8 6 8 5 3 6 11 9 4 4 5 5 3 0 -2 -1 5 9 6 5 5 4 4 4 5 6 -3 -11 10 31 25 14 4 -6 -6 1 3 5 7 7 6 5 8 17 23 14 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 7 7 7 6 5 4 4 3 3 3 2 3 4 5 6 5 3 3 3 3 3 3 4 4 4 5 5 4 4 3 2 2 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 5 4 5 5 5 6 6 7 6 6 6 5 6 6 5 5 5 5 5 4 4 4 5 5 5 4 4 5 5 6 6 6 7 6 8 11 10 7 4 3 1 1 3 3 3 4 4 4 4 4 4 3 3 3 3 5 7 9 10 11 10 9 7 5 4 3 4 4 5 3 0 -1 0 2 3 4 4 4 4 3 2 2 2 2 3 4 3 3 5 5 6 9 11 11 13 18 21 21 17 12 7 9 12 10 6 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 3 3 4 4 3 4 3 3 4 5 6 6 7 6 5 4 3 3 4 5 6 6 6 5 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 2 2 2 3 4 5 7 8 9 8 8 10 11 9 5 3 3 2 1 2 2 2 3 3 3 2 2 2 2 2 2 3 3 4 4 4 5 4 4 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 7 7 8 7 7 7 7 7 7 7 6 6 7 7 7 8 11 14 16 14 9 6 5 8 12 12 6 7 15 23 13 6 5 4 5 6 7 6 5 5 4 6 7 6 8 12 10 7 7 9 15 19 15 9 8 6 2 2 6 7 5 7 7 5 6 10 13 10 6 7 19 5 -3 3 4 4 5 5 7 10 8 3 4 6 8 9 8 12 10 6 6 11 11 6 5 2 -2 -2 3 6 8 13 10 9 11 3 2 5 8 11 9 2 -8 9 33 23 8 -5 -9 -0 5 3 7 8 5 5 6 7 14 25 20 7 5 6 6 6 6 5 5 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 8 7 6 5 4 4 3 3 3 3 5 6 5 4 3 2 3 3 3 3 4 5 7 8 8 8 6 5 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 5 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 7 6 7 10 13 10 6 5 5 4 3 3 3 3 4 4 4 4 4 3 3 3 2 3 5 7 9 11 11 11 9 6 4 3 4 4 6 5 2 1 1 2 3 3 2 3 3 3 2 2 2 2 2 3 3 3 3 4 4 5 7 9 11 13 15 15 13 9 7 10 17 20 18 11 5 3 4 4 3 3 3 3 2 1 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 4 3 4 4 3 3 3 3 3 4 5 6 7 7 6 5 4 3 3 3 4 6 6 6 5 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 3 4 5 6 7 8 8 7 8 9 10 8 4 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 4 4 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 7 7 8 7 7 7 7 7 7 6 7 7 8 9 9 12 16 18 15 10 6 5 6 9 14 12 2 1 5 1 -6 -5 -0 3 4 6 6 6 5 5 5 5 7 8 11 13 9 6 8 10 14 18 16 9 9 11 6 2 2 2 3 9 10 7 6 5 1 0 3 10 16 3 0 4 4 5 8 8 11 14 8 2 2 6 7 9 9 12 12 9 7 5 7 4 6 3 0 4 7 8 11 14 13 15 12 3 4 6 9 15 13 12 7 20 31 17 -3 -14 -3 14 13 10 12 9 5 3 4 7 14 24 22 9 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 8 8 7 6 5 4 3 3 3 5 6 6 4 3 3 2 3 3 3 3 4 7 10 12 12 10 8 6 4 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 8 7 7 8 8 8 8 8 8 6 5 6 5 4 3 3 4 4 4 4 5 6 7 7 7 7 7 7 6 9 14 15 10 9 11 9 5 3 3 3 3 3 3 4 4 4 3 3 2 2 3 5 7 9 11 11 11 8 6 4 4 4 5 5 5 4 3 3 3 2 1 1 2 2 2 2 2 2 1 2 3 4 4 4 3 4 5 7 9 11 11 10 9 8 7 9 17 28 32 23 8 1 3 3 2 1 -0 1 0 0 1 1 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 4 4 4 4 4 3 3 4 5 6 7 7 6 5 4 3 3 3 4 5 6 5 5 5 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 4 5 5 7 7 7 7 8 9 8 6 3 1 2 2 2 3 3 3 3 3 2 2 2 2 3 2 3 3 3 4 3 4 5 4 4 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 7 7 6 6 7 7 7 7 6 7 7 8 10 10 10 14 18 17 11 6 5 5 6 9 12 9 0 -2 -1 -10 -10 -4 1 3 4 5 5 5 6 5 5 6 8 11 13 12 8 5 7 11 16 18 12 6 9 12 9 6 3 -0 1 6 9 8 3 -3 -4 -2 -1 14 10 0 3 3 5 6 10 9 10 12 9 4 2 4 6 6 4 9 11 9 9 6 4 1 7 8 5 8 7 6 2 2 10 13 6 3 8 10 9 7 11 17 18 29 26 9 -13 -15 10 29 24 18 14 9 6 5 4 6 13 23 23 11 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 6 5 6 6 6 7 8 7 7 6 5 4 4 5 6 6 5 3 3 3 2 2 3 3 3 4 8 12 15 14 11 8 6 5 5 6 5 5 5 4 3 2 3 3 2 3 3 3 3 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 8 9 10 11 11 10 8 6 6 5 4 3 3 3 3 3 4 6 7 8 8 8 8 8 8 7 9 14 15 12 13 16 12 5 3 4 4 4 3 3 3 4 4 3 3 2 2 2 3 4 6 8 10 11 10 8 6 5 4 4 5 5 5 4 4 3 2 1 1 1 2 3 3 3 2 1 2 3 4 5 5 3 3 3 5 7 9 9 8 9 9 8 9 15 29 35 26 10 1 1 3 2 -0 -1 -1 -1 0 1 2 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 6 7 7 6 5 4 3 3 3 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 5 4 4 4 4 3 3 3 4 5 6 7 7 7 8 9 8 5 3 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 6 7 6 6 6 6 7 7 8 7 7 8 9 10 11 11 14 18 17 10 6 5 5 6 9 10 5 2 3 3 -2 -1 1 3 3 3 4 5 6 6 6 6 7 10 13 13 10 7 7 9 11 16 16 6 1 4 4 3 7 9 7 5 5 6 5 2 0 3 -2 -3 6 -0 -1 6 4 4 6 11 10 8 10 11 6 1 -0 2 0 -0 5 8 6 8 11 8 -0 3 13 11 8 4 -2 -5 1 9 8 2 2 7 9 7 3 8 13 25 34 20 2 -13 -5 18 31 27 19 13 7 6 5 5 6 11 21 24 13 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 3 4 4 4 4 4 4 5 5 6 5 5 5 6 6 7 8 7 6 5 5 5 6 6 5 4 3 3 2 2 2 3 3 3 4 6 12 16 15 12 9 8 7 7 6 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 8 7 7 6 7 9 10 13 15 15 13 10 8 8 6 4 3 3 3 2 2 4 7 9 9 9 9 9 9 9 8 9 12 13 11 14 16 12 6 4 4 4 4 3 2 2 3 3 3 3 3 2 2 2 3 4 6 8 10 11 10 8 7 5 5 5 5 4 4 4 3 2 2 1 2 2 3 4 4 3 2 2 3 4 5 5 4 3 3 3 5 6 7 8 8 9 9 10 16 26 30 21 7 0 0 2 2 1 0 -1 -0 1 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 3 3 3 4 4 4 4 5 5 5 5 4 4 4 5 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 4 4 5 5 5 4 3 3 3 3 3 4 5 5 5 5 6 6 4 3 2 3 4 5 6 7 7 8 9 10 8 5 3 2 2 2 2 2 2 3 3 2 2 1 1 2 2 2 2 3 3 3 4 4 3 3 3 3 2 2 2 3 2 2 3 2 3 3 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 7 8 9 9 10 10 11 14 19 19 14 8 5 4 6 8 8 4 7 11 8 4 4 3 2 2 3 4 5 6 6 6 7 10 13 13 11 9 10 12 12 10 11 11 7 8 5 1 1 6 8 8 8 6 3 0 2 8 10 7 9 4 -4 0 4 2 0 3 8 6 4 9 14 11 4 3 5 2 2 8 10 6 6 9 7 2 1 11 13 8 5 -2 -3 3 5 -2 -4 1 6 5 2 2 4 9 29 33 15 0 -3 6 17 21 19 14 9 6 5 5 4 5 11 23 26 14 5 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 5 6 7 7 7 7 6 6 6 6 5 4 3 3 3 2 2 2 3 3 3 3 4 9 14 16 14 12 11 10 8 6 5 4 3 3 3 3 3 4 4 4 4 5 5 5 5 4 5 5 4 5 5 5 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 9 10 13 16 19 19 17 13 11 10 9 6 4 3 3 2 3 5 8 9 10 10 10 9 8 8 8 8 10 10 12 14 13 10 7 5 5 4 3 3 2 2 2 3 3 3 3 3 3 2 2 2 4 6 8 9 10 9 8 7 6 6 5 4 3 2 2 2 2 1 1 2 3 4 4 4 2 2 3 3 4 5 6 5 4 3 4 4 6 6 7 8 9 10 17 25 24 14 6 3 3 3 5 5 3 2 2 3 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 4 3 3 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 7 6 5 4 3 4 3 2 3 3 3 4 4 5 5 4 3 3 4 4 4 5 5 6 6 6 7 6 5 4 3 3 4 4 5 6 7 8 9 10 11 9 6 3 2 2 2 2 2 3 3 2 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 4 5 5 6 6 6 7 6 7 7 8 9 9 9 9 9 10 13 18 23 19 9 5 5 6 7 3 1 9 12 6 3 2 2 2 3 4 5 5 5 6 7 10 15 14 12 11 11 12 13 11 10 9 9 12 15 11 4 4 1 3 8 8 5 0 -0 5 9 7 6 11 12 12 10 2 0 -2 2 4 3 1 7 13 12 6 8 9 6 7 15 16 10 6 6 2 3 6 11 12 8 2 -2 5 16 9 -6 -6 1 4 -0 -0 3 5 9 25 25 12 3 5 13 15 15 13 9 6 5 4 4 3 5 13 22 18 7 5 7 6 6 6 5 5 5 5 4 4 4 4 4 4 5 4 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 6 7 7 8 7 7 6 5 4 4 3 3 3 2 2 2 3 3 3 3 3 6 10 13 14 13 12 11 9 7 5 4 4 4 3 3 4 4 4 4 5 5 4 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 9 10 12 15 18 23 23 20 16 12 10 9 7 5 3 3 2 4 7 9 9 9 9 9 9 8 8 7 7 7 9 12 13 11 11 10 8 6 4 3 3 2 2 1 2 3 3 3 3 3 2 3 2 3 3 5 7 8 9 9 8 8 7 6 5 4 3 2 2 2 2 2 2 3 3 4 4 3 3 3 3 4 5 6 5 4 4 3 3 4 4 5 7 7 9 15 22 22 16 12 9 6 6 8 9 8 8 7 7 7 7 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 6 7 7 6 5 4 4 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 5 5 5 6 6 6 6 6 4 4 4 4 4 5 6 7 7 8 10 12 11 9 7 5 3 2 1 2 2 2 2 1 1 1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 3 3 4 4 4 4 5 5 6 6 6 6 6 7 8 9 9 8 8 8 9 12 17 25 22 11 6 7 8 5 -4 -2 6 6 1 0 1 2 3 5 6 6 5 5 6 8 13 15 12 10 11 10 10 11 11 11 11 11 11 9 5 1 0 -2 -1 7 9 5 1 2 5 4 2 4 4 9 17 16 7 2 -0 4 5 5 3 7 8 6 4 7 8 7 10 18 18 10 5 3 -0 2 9 12 11 6 -5 -6 11 27 13 -3 -2 1 -3 -4 -0 3 7 12 19 17 11 9 11 15 14 12 10 7 5 5 5 4 3 5 10 13 7 3 10 14 9 6 6 6 5 5 5 5 4 3 4 4 4 4 4 4 3 4 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 7 8 8 8 7 6 5 4 3 3 4 3 2 2 3 3 3 3 2 3 3 5 8 10 11 11 10 9 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 9 10 12 14 15 18 22 23 21 18 13 10 8 7 6 4 3 5 7 8 8 9 8 8 8 8 8 7 7 7 6 7 9 11 12 12 13 12 9 6 4 3 2 1 1 1 2 2 3 3 3 3 3 2 2 2 3 4 6 7 9 9 8 8 7 7 6 5 4 3 3 3 3 2 3 3 4 4 4 3 3 3 3 4 5 4 4 5 4 3 3 3 4 5 6 8 11 15 19 21 18 12 7 7 9 11 13 14 14 12 10 8 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 5 6 6 7 7 6 6 5 6 7 8 6 5 4 5 6 7 7 6 5 4 3 3 2 3 3 3 3 3 4 4 4 3 4 4 4 5 5 5 6 6 6 6 5 4 4 4 4 4 5 6 6 7 8 10 11 12 11 10 8 5 3 1 1 1 2 1 1 1 1 1 2 2 2 2 2 3 2 3 3 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 5 5 6 6 6 6 7 8 8 8 7 6 7 8 11 19 26 22 12 9 9 9 3 -2 4 5 2 -1 0 2 3 5 6 7 6 5 5 7 12 15 10 9 12 9 8 9 9 10 11 12 14 11 2 -2 2 5 3 3 6 8 7 4 6 6 4 10 10 -0 2 13 13 8 4 3 4 6 5 7 7 3 3 7 8 9 9 13 17 15 10 8 7 5 5 7 7 11 8 -2 -2 11 21 7 -3 0 1 -2 -1 2 6 10 13 13 12 11 13 15 15 13 10 7 5 4 5 5 4 3 4 7 7 5 7 14 22 16 7 6 6 5 6 5 5 4 4 4 4 4 4 5 4 3 4 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 5 6 6 7 8 8 7 6 5 4 3 3 3 3 3 2 2 3 3 3 3 3 2 2 3 4 5 6 7 7 8 9 8 6 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 8 9 11 12 13 13 13 14 19 20 18 16 13 10 9 9 8 4 4 8 9 8 8 7 7 7 7 7 8 8 8 8 6 5 6 7 11 14 15 15 13 10 6 3 2 2 1 1 1 1 3 3 3 3 3 3 3 3 2 2 3 5 6 7 8 8 9 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 7 8 10 13 16 17 15 11 8 8 9 12 15 17 16 14 11 8 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 4 5 5 6 7 7 7 6 7 8 9 7 4 3 4 5 6 7 7 6 5 4 3 3 3 3 3 3 3 3 3 4 3 3 3 4 5 6 6 7 7 7 6 5 5 5 5 4 5 5 5 6 7 7 9 10 12 13 12 9 7 4 2 1 1 1 1 1 1 1 1 2 2 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 3 3 2 2 2 2 2 3 3 3 4 4 4 4 5 5 6 6 6 7 8 7 6 5 5 6 8 13 22 26 18 11 10 10 7 3 9 19 11 3 0 1 2 5 6 7 6 5 5 6 10 16 15 6 8 13 9 9 10 9 9 7 7 11 10 4 3 8 9 8 8 5 5 6 4 8 7 11 22 10 -3 8 14 5 3 4 4 6 4 5 9 7 -1 -2 5 6 9 11 15 17 12 10 11 12 11 13 13 9 9 6 -0 0 2 8 6 4 8 5 6 7 8 14 16 13 9 7 9 14 15 13 11 8 6 4 4 5 5 3 2 4 5 6 6 8 15 25 20 7 6 6 6 6 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 6 7 7 8 7 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 4 5 6 7 8 6 5 5 5 4 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 10 11 13 12 12 11 10 10 12 15 13 11 11 9 8 9 9 7 6 9 9 7 6 6 6 6 7 7 7 8 8 7 7 6 5 5 8 12 16 17 16 13 9 5 4 3 3 2 2 2 2 1 2 3 3 4 4 3 3 2 2 3 4 5 6 8 8 9 9 8 7 7 6 5 4 5 5 5 5 5 5 4 4 3 2 2 3 4 4 4 4 5 5 4 3 3 3 4 7 8 8 9 10 11 12 11 9 9 10 11 13 14 14 13 10 8 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 2 2 2 3 5 5 5 5 6 7 6 6 8 9 7 4 3 3 4 6 7 8 7 6 4 3 3 3 3 3 3 3 4 4 4 3 3 3 4 4 6 7 8 9 9 7 5 4 5 5 5 5 5 6 6 7 7 8 9 11 12 12 10 7 5 3 2 1 0 1 1 1 1 1 2 2 2 3 2 3 3 2 2 3 3 3 3 3 3 3 3 4 3 3 3 2 2 3 3 3 3 4 4 4 4 5 5 6 6 7 8 8 5 3 3 5 7 9 16 24 23 14 8 8 8 7 9 17 18 9 2 1 1 4 6 7 7 6 5 5 8 14 18 12 8 9 9 10 14 14 13 13 9 7 8 7 7 10 11 3 5 8 6 3 4 4 7 7 14 24 8 -0 6 4 -2 1 4 6 7 5 7 9 6 -1 -1 6 6 7 11 16 17 12 8 7 5 6 11 14 11 6 2 5 5 -4 0 7 11 16 11 6 5 8 13 15 11 5 2 8 15 15 12 9 8 6 4 4 5 5 2 2 5 6 5 6 8 14 24 21 9 5 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 4 4 4 5 6 6 7 7 7 7 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 5 5 6 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 9 10 12 14 14 13 13 10 7 7 7 9 9 8 7 7 7 8 9 8 8 9 6 6 6 6 6 6 7 6 7 7 7 7 7 7 6 6 6 8 13 16 15 14 12 8 6 5 5 4 3 2 1 0 1 2 2 3 4 4 4 3 3 2 2 3 3 5 6 8 9 9 9 8 8 7 6 5 5 6 6 6 6 5 4 3 2 2 3 4 4 4 4 5 5 4 4 3 2 3 5 7 9 9 8 7 8 9 9 9 9 9 9 10 11 11 11 10 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 2 3 5 7 7 6 6 6 6 6 5 7 10 9 6 3 3 4 6 7 8 9 7 5 5 4 4 4 4 4 4 4 5 4 4 4 3 3 4 5 6 8 10 9 8 6 5 4 4 5 5 5 5 7 8 8 8 8 9 11 11 9 8 7 6 5 3 1 0 1 1 2 2 3 2 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 3 4 5 5 6 7 8 9 8 4 1 2 5 7 11 19 26 22 11 5 4 4 9 13 12 4 1 -0 1 2 4 6 6 7 6 5 5 9 16 16 9 8 7 5 9 14 15 17 20 14 10 9 5 7 9 9 1 -1 3 6 4 2 3 3 9 13 14 6 6 3 -1 2 7 6 7 8 8 9 9 7 3 5 11 9 5 10 13 12 11 6 -2 -5 0 5 8 7 4 2 9 11 -4 -5 4 11 15 10 2 5 12 14 10 5 -2 -0 10 15 14 11 8 8 7 5 5 5 3 1 2 5 7 5 5 7 13 24 23 11 5 6 7 7 6 5 5 4 4 4 4 4 4 4 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 5 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 5 5 5 6 6 6 7 7 7 7 7 7 8 10 13 15 16 16 16 16 12 8 7 7 7 7 7 7 7 7 7 8 7 9 7 5 5 5 5 6 5 5 6 6 6 6 7 7 6 7 8 8 8 9 13 13 12 14 12 8 7 7 8 6 4 3 4 3 2 2 2 3 3 4 4 5 4 3 2 2 2 4 5 7 9 9 9 9 7 7 6 5 6 7 7 7 6 4 2 1 2 3 4 4 4 4 4 4 4 5 4 3 2 3 5 7 9 9 8 7 7 7 8 8 7 7 8 8 8 10 10 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 4 5 8 10 9 8 6 6 5 5 5 6 10 12 9 4 3 4 6 8 9 9 9 8 6 5 7 11 12 10 7 5 5 6 6 5 4 3 3 4 5 8 9 10 8 6 5 4 4 4 5 5 5 7 8 9 9 9 9 10 9 8 7 7 7 6 5 3 1 1 1 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 5 5 6 8 9 9 7 2 0 2 6 11 18 26 28 20 7 3 0 -0 8 11 3 -2 -2 -2 1 3 4 5 6 7 7 6 5 9 15 14 9 8 7 4 5 7 10 14 20 17 13 10 8 8 6 9 7 3 2 2 3 2 4 4 12 12 -1 -3 2 2 4 8 9 7 8 9 11 12 11 10 8 7 6 4 3 5 9 5 6 -1 -6 -3 2 3 4 4 4 5 12 12 0 -5 4 11 10 5 6 16 21 14 5 -2 -3 4 12 12 11 8 7 8 8 6 6 5 2 1 3 6 6 5 4 6 15 27 24 10 4 6 7 7 7 6 5 4 4 4 4 4 4 3 3 3 4 5 5 5 4 4 4 4 5 4 4 4 4 5 6 6 6 6 6 5 4 2 2 3 3 3 3 3 3 3 4 3 4 3 3 3 3 4 4 3 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 6 7 6 7 7 7 7 7 8 10 13 16 18 19 18 18 18 15 11 9 8 7 7 7 7 7 7 7 7 6 6 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 8 9 8 9 10 9 12 13 11 9 10 11 11 9 8 6 3 2 2 3 2 3 3 4 5 5 5 3 2 2 2 3 4 7 8 8 8 8 7 6 6 6 6 7 6 5 4 3 2 2 3 4 5 5 4 4 4 5 5 4 3 2 2 3 5 7 8 8 8 6 5 5 6 7 7 6 6 7 8 7 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 3 5 7 9 10 10 9 7 6 5 5 4 5 9 13 11 6 4 5 7 8 9 9 10 10 7 8 13 18 17 14 10 8 6 6 6 6 5 3 2 3 4 6 8 9 8 6 5 4 4 4 5 5 5 7 8 9 11 11 10 9 8 7 6 6 6 7 6 5 3 1 1 1 2 3 3 3 3 3 3 3 3 2 3 2 2 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 8 9 10 9 6 1 -0 4 12 21 28 34 30 15 4 -1 -5 -4 6 6 -1 -4 -2 -1 1 3 3 4 6 8 8 7 5 7 12 15 13 12 9 6 5 2 3 9 14 13 13 12 12 7 8 10 11 13 11 3 1 2 5 10 14 8 -4 -1 0 -1 5 6 4 5 9 12 15 16 14 11 9 6 3 1 -2 0 8 -1 -4 -10 -5 4 7 4 2 1 2 8 15 11 4 0 9 13 5 -1 5 15 14 11 4 -1 4 14 14 9 8 7 6 7 8 7 6 5 4 3 4 5 5 5 4 9 23 28 18 6 4 6 7 7 7 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 6 6 7 6 5 5 4 3 2 2 2 2 3 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 9 11 15 18 19 19 19 18 18 16 11 9 8 7 7 7 7 7 8 8 7 6 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 8 9 10 10 10 12 14 14 15 10 3 1 2 3 3 3 2 3 5 5 5 5 4 3 3 3 3 5 5 7 7 8 8 7 6 6 6 6 5 5 5 3 3 3 4 5 5 5 5 4 4 5 5 5 4 3 2 2 3 4 6 8 8 6 5 4 5 6 6 6 7 7 8 7 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 6 4 4 6 7 8 8 9 10 9 7 6 6 4 4 6 9 10 6 4 4 5 5 7 9 11 11 9 10 16 16 12 7 8 9 8 6 6 7 6 4 3 3 3 4 6 7 7 6 5 4 4 5 5 5 6 6 8 10 12 13 12 10 8 6 5 5 5 6 6 6 4 2 1 1 1 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 2 2 2 2 2 3 3 3 4 4 4 4 4 4 5 7 9 10 11 9 4 -0 2 10 21 30 32 31 24 12 4 -1 -5 -2 3 1 -3 -3 -2 -1 1 2 3 4 6 7 8 6 6 7 11 16 16 13 11 11 9 4 2 8 10 8 9 14 10 4 12 10 11 13 15 7 1 -0 6 12 9 3 7 13 9 2 6 4 1 4 11 16 19 22 20 14 8 4 3 1 -7 0 10 1 -5 -8 2 8 12 10 4 -0 -1 5 6 1 -0 1 11 16 5 -0 1 6 9 8 2 3 15 22 15 8 7 7 6 6 8 8 7 6 5 4 4 4 5 5 6 15 28 24 10 4 4 5 7 8 7 6 6 5 5 4 4 4 4 4 3 3 5 6 5 5 5 4 4 5 5 5 5 5 6 6 7 7 6 5 4 3 3 2 2 2 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 6 6 7 7 7 10 13 16 17 17 16 15 15 16 13 9 7 7 7 6 7 7 7 8 8 6 3 3 4 4 4 4 4 5 4 4 6 4 4 5 5 5 5 5 5 5 5 6 9 12 4 2 9 10 10 9 8 10 15 20 17 7 2 2 2 3 3 2 3 4 5 5 5 5 5 4 3 3 3 4 5 6 7 7 7 6 6 6 5 5 5 5 5 4 4 4 5 4 5 5 5 4 4 4 5 5 4 2 1 2 4 6 7 8 7 5 5 5 5 5 6 7 8 8 8 6 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 11 7 7 7 7 7 8 9 10 10 9 9 7 6 4 4 5 6 5 4 3 3 3 5 7 9 10 10 11 12 8 2 -1 2 7 8 7 7 7 6 5 4 4 4 3 4 5 5 5 5 4 5 5 6 5 6 6 7 10 12 14 13 11 9 7 6 6 6 6 6 5 4 3 1 1 1 2 3 3 3 3 3 3 3 4 3 3 2 2 2 3 4 3 3 2 1 1 2 2 2 3 3 3 4 4 4 4 5 8 10 11 11 8 2 0 8 19 28 31 27 18 10 7 8 8 3 3 -1 -4 -5 -3 -2 -1 2 3 3 5 6 7 7 7 7 9 14 17 16 10 10 14 13 7 3 5 6 5 7 12 7 9 10 6 8 11 15 8 -1 -2 5 9 3 4 15 17 6 8 8 5 3 7 13 16 19 22 22 17 7 -0 1 -1 -9 6 12 6 -1 -2 8 12 15 15 8 1 -0 6 6 -1 -1 -1 10 16 9 4 -4 -1 19 12 3 11 24 23 13 7 6 7 7 7 8 9 9 7 5 4 4 5 5 5 9 21 28 20 7 4 5 6 6 7 7 6 6 5 4 4 5 4 4 3 3 3 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 3 2 2 2 2 4 4 3 3 3 3 3 4 4 4 5 4 4 5 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 5 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 6 6 7 8 10 13 15 15 14 13 10 9 11 11 9 7 5 6 6 7 8 7 8 8 6 1 -3 1 4 4 4 4 4 4 5 6 4 1 3 3 2 3 4 5 5 5 6 8 12 4 -1 9 12 12 11 9 8 10 15 16 13 7 4 3 3 4 3 3 5 6 6 5 6 6 5 4 4 4 4 3 4 4 5 6 6 6 6 6 5 5 6 7 6 6 5 4 4 4 5 5 4 4 4 4 5 4 2 1 2 4 6 7 7 7 6 5 4 5 4 4 5 6 7 8 7 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 12 9 7 7 7 7 8 8 9 10 10 10 9 7 6 4 4 5 5 4 3 2 2 3 5 6 9 10 10 10 7 1 -1 3 8 10 9 8 8 8 7 5 5 5 4 3 4 4 4 5 5 5 6 6 6 5 5 7 9 12 14 13 11 9 8 7 7 7 6 6 5 4 3 2 2 1 1 2 3 3 3 3 3 4 4 4 3 3 2 2 3 4 4 3 2 2 2 1 1 2 2 2 3 3 4 4 4 6 9 11 11 10 6 2 6 15 21 23 27 26 16 4 5 15 16 9 3 -5 -7 -6 -3 -2 -0 2 4 4 5 6 7 8 9 11 13 16 17 13 9 9 13 13 10 6 2 1 3 7 7 5 11 8 7 1 2 4 2 -4 0 8 9 3 4 6 5 -1 5 6 6 7 10 14 14 15 15 16 14 5 -3 -1 1 -0 12 10 2 -6 -1 4 11 13 11 6 4 3 6 10 11 12 3 2 11 14 7 -6 -1 16 12 16 23 24 17 10 6 6 7 7 8 8 9 8 5 4 3 4 5 4 5 12 24 27 16 5 4 5 6 7 7 7 7 6 5 4 4 4 4 4 3 3 3 4 5 5 4 5 5 5 5 5 5 5 5 5 6 5 5 5 4 3 3 3 2 2 2 4 4 3 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 5 6 5 5 5 5 5 4 5 4 4 5 5 5 5 6 6 6 6 6 6 7 6 6 6 6 7 8 10 13 13 12 11 13 12 7 6 9 8 6 5 5 6 7 8 8 8 9 7 3 -3 -2 2 4 4 4 4 4 4 7 8 4 3 3 3 3 1 2 4 6 7 7 6 4 3 8 12 15 15 15 12 11 10 12 13 11 10 9 10 10 10 10 9 8 7 7 6 8 8 7 7 8 6 4 3 2 3 5 6 6 6 6 5 5 6 7 8 7 6 4 3 4 5 5 5 4 4 4 4 4 4 3 2 3 4 6 7 8 7 6 5 4 3 3 4 4 4 6 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 10 8 7 7 7 8 8 8 7 8 9 9 9 8 7 6 5 5 5 5 3 2 1 2 3 5 7 9 10 10 9 6 5 8 12 13 12 11 11 9 8 7 7 7 5 4 4 4 5 5 5 6 7 7 6 5 5 5 8 11 13 12 11 10 9 9 8 7 6 5 5 4 4 3 3 2 2 2 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 1 2 2 2 2 3 4 4 5 8 12 13 13 9 4 4 11 15 13 15 22 26 21 7 4 11 10 2 -4 -9 -9 -6 -3 -2 -0 2 5 6 6 7 9 11 14 15 15 14 13 11 12 12 11 12 13 10 4 1 4 6 6 4 0 -1 -0 -4 -2 -1 -1 -2 5 13 10 2 2 2 3 5 1 2 4 6 10 13 13 10 7 7 7 3 0 1 3 7 10 8 4 -4 2 -1 4 10 6 5 6 6 6 10 17 18 4 -3 8 19 9 -2 8 7 6 20 24 18 11 8 7 6 6 7 8 8 7 5 4 4 4 5 5 5 6 12 24 26 13 4 4 5 6 7 7 8 7 6 5 4 4 5 5 4 3 3 3 4 4 4 4 4 5 5 5 6 5 5 5 5 5 4 4 4 4 4 3 2 2 2 3 5 4 3 3 3 4 4 4 5 6 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 4 4 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 7 8 10 11 10 8 6 10 18 13 7 8 8 6 6 6 6 8 12 13 9 8 8 5 1 0 2 4 4 4 4 4 4 5 8 9 7 6 5 6 2 -0 3 6 8 9 4 3 5 7 9 13 17 19 19 16 13 12 12 14 14 15 19 22 24 20 14 10 9 8 8 9 11 12 11 10 10 8 4 3 3 4 5 6 6 6 6 6 6 6 7 7 6 4 4 4 5 5 5 5 4 3 3 4 5 4 3 2 4 5 5 6 7 7 6 4 3 2 2 2 3 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 8 8 8 8 7 7 7 6 6 6 7 7 8 7 7 6 5 6 5 4 2 1 1 2 4 5 7 8 9 9 9 9 11 12 12 11 11 11 10 8 8 9 9 8 6 5 4 5 5 6 6 7 8 7 6 4 5 7 10 12 12 12 11 10 10 9 7 6 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 3 3 3 4 4 3 3 3 2 2 2 2 3 3 4 4 6 12 17 19 17 10 2 2 9 11 8 10 15 19 14 6 -0 1 -4 -7 -8 -8 -6 -4 -3 -1 2 4 6 6 7 9 12 15 18 15 11 10 9 10 14 13 13 13 13 12 9 7 5 5 5 -1 -7 -1 2 2 2 3 6 5 8 13 6 0 1 2 3 3 -0 2 2 2 7 11 11 7 3 5 5 4 4 6 8 8 6 8 13 15 13 6 1 2 3 6 9 9 9 14 21 15 3 1 13 17 6 2 9 6 9 20 19 13 8 7 8 7 6 8 8 7 5 4 4 4 5 6 6 5 5 10 22 27 14 4 5 6 6 6 7 7 7 6 5 4 4 4 5 4 3 3 3 3 4 4 4 4 5 5 5 6 6 5 5 5 4 4 4 4 4 4 3 2 1 3 5 5 4 3 3 3 4 5 5 5 6 6 6 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 6 6 6 6 6 6 7 8 10 10 9 5 1 2 12 16 10 8 7 7 6 6 4 6 14 18 13 7 7 6 3 2 3 4 4 4 4 4 4 4 5 6 8 8 7 7 5 3 4 6 7 7 6 5 6 5 6 9 14 17 18 18 17 15 14 13 14 16 19 24 27 22 15 10 9 8 7 9 10 11 12 12 12 10 9 7 5 5 5 4 5 6 6 6 5 5 5 6 5 4 4 4 5 6 6 5 4 3 3 3 4 4 3 3 3 4 4 4 6 7 7 5 3 2 1 1 2 3 4 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 9 10 10 8 7 7 7 7 6 6 5 5 6 6 7 6 6 6 6 5 4 2 1 2 2 3 5 7 8 8 9 10 10 8 7 7 8 9 8 7 7 9 11 11 8 5 4 4 5 5 6 7 8 8 6 4 4 6 7 10 12 12 12 12 11 9 6 5 4 4 3 3 3 3 3 4 5 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 4 4 4 3 3 2 3 3 4 4 6 12 20 23 22 16 7 -1 -3 5 10 7 6 9 10 3 -3 -7 -8 -10 -7 -4 -3 -3 -2 -1 1 4 6 7 7 9 14 17 18 16 12 8 7 6 6 9 9 12 13 8 10 11 9 7 8 9 5 4 10 10 5 2 5 11 9 6 13 5 -1 -1 -0 -1 -4 1 4 4 1 3 7 8 4 -1 4 7 5 5 8 12 12 9 9 17 23 17 14 6 -4 -1 9 15 11 7 10 14 8 1 8 24 14 5 8 10 10 15 19 17 11 8 9 9 7 7 8 8 6 4 3 5 5 5 5 5 4 4 8 21 27 15 5 5 6 6 6 7 7 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 5 3 3 4 4 4 3 2 2 2 4 6 5 4 3 3 4 4 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 9 10 9 8 4 -2 1 9 10 8 7 6 6 6 1 -2 6 16 15 9 6 4 2 2 4 5 5 5 4 4 4 4 4 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 6 8 11 12 13 14 15 15 13 12 12 13 16 18 15 11 9 8 7 6 7 8 9 10 12 13 13 11 11 13 13 9 6 4 4 5 6 5 4 4 5 5 4 4 4 5 6 6 6 5 4 3 3 4 4 4 4 3 3 3 4 5 6 7 6 5 4 2 1 1 2 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 9 10 10 9 8 8 8 8 7 7 7 6 5 6 6 7 7 7 7 6 5 4 2 2 2 2 4 5 6 8 10 11 8 5 3 4 5 6 6 6 6 8 12 12 8 5 3 3 4 4 5 6 8 8 6 5 4 5 6 9 11 12 13 12 10 7 5 4 4 3 3 3 3 3 3 4 5 5 5 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 6 15 24 27 21 12 7 3 -1 -1 5 9 7 3 -0 1 -1 -8 -15 -15 -8 -2 -1 -1 -1 -0 2 4 6 7 8 9 14 20 19 16 11 9 8 9 9 6 3 0 2 8 6 6 7 9 8 11 15 13 11 10 6 2 4 7 11 8 6 17 7 -2 -1 1 1 2 5 7 8 5 2 3 4 1 -2 2 8 4 3 9 11 12 13 14 13 13 7 4 3 -3 2 8 12 6 0 2 6 6 6 13 21 11 12 16 14 25 29 19 13 10 9 9 8 7 7 7 7 6 4 4 4 5 5 4 4 4 3 10 22 26 15 6 6 6 6 6 6 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 3 3 3 4 4 3 2 2 4 6 6 5 3 3 4 4 4 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 5 6 6 5 5 6 6 6 7 6 6 7 8 10 10 12 10 3 0 5 7 7 6 6 6 5 -1 -7 -4 7 12 10 5 2 0 3 5 6 6 6 5 6 5 5 5 5 6 6 6 6 6 6 5 6 6 6 5 5 5 5 5 6 5 6 7 8 10 11 11 11 11 10 9 9 9 9 8 7 6 7 7 6 6 8 9 10 12 14 13 13 17 20 18 13 9 6 4 5 5 5 5 5 5 5 5 4 5 5 6 6 6 4 4 3 3 4 5 5 5 4 3 3 4 4 5 6 6 5 4 2 1 1 2 3 4 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 8 8 9 9 9 10 9 8 9 11 12 11 9 6 6 7 7 7 7 6 6 6 5 5 4 4 4 5 6 9 11 11 7 4 2 3 4 5 6 6 6 9 13 13 8 3 2 3 3 4 4 5 7 7 6 5 5 5 6 7 9 11 11 9 8 6 4 4 4 3 3 3 3 3 3 4 5 5 6 5 5 5 5 5 5 5 5 4 5 4 4 4 3 4 4 4 5 4 4 4 3 3 5 13 26 29 20 9 2 1 2 3 2 4 12 14 6 -5 -7 -2 -7 -14 -13 -4 -1 -1 -1 0 2 5 7 8 8 9 13 20 23 16 10 8 8 10 12 12 9 5 0 -3 3 9 7 4 10 11 11 12 8 6 8 6 6 6 8 7 7 13 18 8 0 3 4 3 5 8 9 12 10 4 1 2 2 1 3 9 2 -1 6 9 8 11 14 9 3 1 0 -5 -4 5 7 7 4 -3 -3 2 9 13 16 16 11 16 20 18 29 28 17 11 9 8 7 8 9 7 6 6 5 4 4 4 4 4 5 5 4 4 13 24 23 12 6 6 7 6 6 5 6 7 6 6 5 5 5 5 5 4 5 5 4 4 4 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 2 2 3 5 7 7 5 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 9 10 11 13 12 7 5 5 6 6 6 5 5 4 1 -4 -5 1 7 9 4 -1 0 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 4 5 5 6 6 5 4 5 6 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 11 12 13 12 15 19 22 21 16 10 7 6 7 6 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 5 5 5 5 5 4 3 3 3 4 6 6 6 4 3 2 2 4 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 8 8 7 8 9 10 9 9 10 12 14 15 14 11 8 7 6 6 6 6 6 6 6 6 6 5 5 5 6 8 11 10 6 3 2 3 4 5 6 7 7 9 13 12 6 2 2 3 3 3 3 4 5 6 6 5 5 4 5 6 8 9 8 7 6 4 4 4 4 3 4 3 3 3 4 4 5 6 6 6 5 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 11 20 22 15 6 1 -1 2 5 4 0 6 23 30 17 2 -3 -0 -3 -9 -8 -4 -3 -2 -1 2 5 7 8 8 9 12 18 22 18 11 7 9 9 11 12 11 10 8 6 3 2 9 8 5 6 8 9 10 6 6 7 8 8 5 7 5 7 16 9 6 4 5 4 3 5 6 7 11 11 6 1 3 6 5 5 9 4 -2 3 10 5 3 6 7 3 4 4 -7 -8 6 13 16 11 -1 -6 -1 8 13 17 20 18 17 17 18 20 18 13 10 7 5 5 8 9 8 7 6 5 4 4 4 4 4 5 5 3 4 12 22 20 11 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 5 5 5 5 4 4 4 5 4 2 1 2 4 6 7 5 4 3 3 4 4 4 5 5 5 5 5 5 4 5 4 4 3 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 4 4 5 5 6 6 6 6 7 9 11 13 14 11 8 7 7 6 6 6 4 4 4 4 3 2 3 6 6 1 -3 2 5 6 7 7 8 7 7 7 7 7 8 7 7 7 6 6 5 5 5 6 6 6 5 5 6 8 7 6 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 11 11 11 12 15 22 28 26 17 11 8 7 6 6 5 5 5 6 5 5 5 4 5 5 5 5 4 4 4 4 4 5 6 6 5 5 3 3 3 4 5 7 7 6 4 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 13 12 9 8 7 8 8 8 9 9 10 10 13 17 16 10 6 6 6 6 6 6 6 6 5 5 5 4 4 5 6 9 8 6 3 2 2 4 5 6 6 6 9 13 12 7 3 2 3 3 3 3 4 5 6 7 7 5 5 5 5 6 6 6 6 5 4 4 4 5 5 4 4 3 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 5 12 20 21 13 4 1 -1 1 7 8 4 0 13 32 39 22 7 2 1 -4 -9 -8 -6 -4 -1 2 6 7 7 7 8 12 17 19 18 14 11 9 9 8 11 13 10 9 8 10 9 7 9 7 2 -1 3 10 8 8 6 3 4 6 8 10 7 6 11 -1 1 6 4 5 6 6 5 4 7 10 6 1 4 8 5 4 1 2 2 5 14 8 3 5 7 5 6 1 -8 -2 8 15 20 13 1 -4 1 6 12 17 22 21 17 14 14 13 11 10 7 5 4 5 7 9 9 7 6 5 4 4 4 4 4 5 5 3 4 8 15 21 17 9 6 7 7 6 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 5 5 4 3 2 1 2 4 6 6 5 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 3 3 4 4 4 5 5 5 6 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 2 3 3 4 4 4 4 4 4 4 5 6 7 7 7 7 8 12 17 14 10 8 7 7 6 6 5 4 4 5 6 7 6 5 7 3 -2 -1 4 6 6 6 7 8 7 7 7 7 8 8 8 7 7 7 6 5 5 5 6 6 6 5 5 8 10 9 7 5 4 5 5 6 6 7 8 8 8 8 8 8 8 9 9 9 10 10 9 10 10 9 9 10 10 10 10 12 19 30 39 35 21 11 6 4 4 5 5 5 5 6 5 5 5 5 5 6 6 5 4 3 3 3 4 5 5 5 6 5 4 3 2 4 5 7 7 6 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 13 12 11 9 8 8 8 9 11 9 7 9 16 17 12 7 6 6 6 5 5 5 5 5 4 3 2 3 4 5 7 7 6 3 2 2 3 4 5 5 5 8 13 13 9 5 4 4 4 3 3 4 5 6 7 8 7 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 7 7 6 6 6 6 5 5 6 6 6 6 6 7 7 7 5 4 4 5 12 20 22 15 7 2 -3 -3 5 9 8 3 1 18 23 24 12 -1 -8 -10 -14 -15 -11 -6 -2 2 6 8 8 7 8 11 16 20 17 15 17 16 11 5 3 8 12 11 12 11 11 10 8 10 7 1 -1 4 7 2 4 5 3 5 10 11 10 7 7 9 -2 -1 4 2 6 10 10 8 8 11 12 7 4 5 5 3 3 -5 -0 7 10 15 10 7 7 6 6 7 0 -5 6 9 7 7 5 3 2 6 6 11 16 17 17 16 14 12 11 9 8 4 3 5 6 7 8 8 8 7 5 4 3 4 4 5 5 4 3 4 6 11 21 23 13 6 6 7 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 5 5 5 3 2 1 1 2 5 6 5 4 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 3 3 3 4 3 4 3 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 3 3 3 4 3 4 4 4 4 4 4 5 6 7 8 8 7 7 10 16 17 10 8 8 7 6 6 6 5 5 6 7 6 5 6 6 2 -2 1 5 5 6 7 7 7 7 7 7 8 8 9 9 8 7 7 7 5 6 6 7 7 6 5 5 7 10 10 8 6 5 6 5 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 13 22 35 45 35 21 12 7 4 4 4 4 5 5 6 5 5 5 5 6 6 5 5 4 4 3 3 4 4 5 5 6 6 4 3 3 4 5 6 7 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 11 11 12 11 10 9 9 10 13 12 9 9 13 13 11 9 7 6 5 5 5 5 5 5 5 4 3 3 3 4 6 7 6 4 2 2 3 4 4 5 5 6 11 14 12 8 6 5 3 3 3 3 4 5 7 8 8 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 6 6 5 5 5 6 6 6 6 6 7 8 8 6 4 5 12 18 16 7 2 1 -4 -4 2 9 10 6 4 3 6 3 1 1 -13 -21 -24 -22 -18 -9 -2 3 6 8 7 7 10 14 16 20 21 16 15 19 17 9 1 -0 3 9 13 14 15 14 8 4 8 11 7 4 4 2 -2 1 5 6 7 14 11 7 9 10 8 5 4 3 2 4 7 8 9 11 14 12 9 10 7 3 4 4 -3 1 10 16 10 4 4 5 7 16 19 12 8 12 7 1 -5 -0 5 6 7 9 13 14 13 13 14 12 11 10 9 6 2 2 5 7 7 6 7 8 8 6 5 3 4 5 5 4 3 4 4 4 9 22 27 14 4 5 6 7 6 6 6 7 7 6 6 6 5 5 5 5 6 5 5 5 6 6 6 6 5 5 5 5 4 5 5 4 3 2 1 1 2 5 5 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 3 3 3 3 4 3 3 4 4 5 5 6 7 9 9 8 8 7 10 14 10 7 7 7 7 7 7 6 7 7 7 5 4 5 6 4 1 3 5 5 6 7 7 6 7 6 7 8 8 8 8 8 7 7 7 6 6 7 8 8 7 5 4 5 8 9 8 8 7 7 6 6 6 5 6 6 6 6 6 7 6 6 7 7 7 8 8 7 7 8 8 8 8 8 8 9 10 13 19 27 31 30 27 23 15 7 4 4 4 5 5 5 6 6 5 5 6 6 7 6 4 3 2 2 3 4 4 5 6 5 5 4 3 3 3 5 6 6 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 8 10 11 11 10 10 13 14 12 11 10 10 9 9 8 7 6 5 5 6 6 6 7 6 5 4 3 4 5 6 6 4 3 3 3 4 4 5 5 5 8 11 11 9 6 5 4 3 3 3 3 4 5 6 6 7 7 7 7 7 6 5 5 5 6 6 7 7 8 8 8 7 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 7 6 7 11 9 1 -6 -6 -7 -4 7 12 14 10 7 8 4 -9 -3 -0 -2 -12 -17 -17 -14 -7 -0 4 8 9 8 7 10 18 23 22 20 18 13 12 14 12 6 1 -0 2 7 12 13 17 16 11 5 4 7 7 6 5 2 1 2 5 5 8 14 5 2 9 8 6 10 11 6 3 4 5 6 7 7 10 8 9 12 9 6 8 6 3 4 10 17 6 -3 -2 2 14 24 26 20 17 11 1 -2 -1 3 3 6 13 19 18 13 11 11 9 7 8 9 9 7 4 4 4 5 7 6 5 8 9 9 6 4 4 6 5 3 3 3 3 4 12 25 26 13 3 3 6 7 7 6 6 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 5 5 5 5 5 4 3 2 1 2 3 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 5 6 7 10 11 11 11 9 6 8 8 7 7 7 7 7 7 7 7 7 5 4 4 4 5 6 5 5 6 6 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 6 6 7 9 10 9 7 5 4 6 8 8 8 8 8 7 6 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 9 10 9 14 24 33 38 36 23 11 5 3 4 4 5 6 5 6 5 5 6 8 8 5 3 3 2 3 4 4 4 5 6 7 6 4 3 3 3 4 5 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 5 7 9 10 10 9 10 12 13 13 13 12 11 10 9 7 6 6 6 6 7 8 9 9 7 6 5 4 5 7 6 5 4 4 3 4 5 5 5 6 6 8 9 8 6 5 4 3 3 2 3 2 3 4 4 5 6 7 8 8 7 6 6 6 6 7 8 8 8 8 8 7 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 7 8 8 9 10 9 6 1 -3 -3 -3 -4 8 17 14 11 7 8 11 5 -7 -0 8 10 14 9 7 7 7 8 9 9 7 6 9 16 24 27 21 16 14 10 7 7 6 5 4 3 4 4 8 11 16 15 14 9 5 2 1 4 6 4 5 4 4 7 11 6 -3 -4 3 3 4 10 11 7 4 5 7 6 3 5 8 7 9 10 8 10 11 8 8 9 9 12 6 -1 -3 1 13 17 14 11 12 8 -2 -1 7 5 -0 7 20 25 21 13 10 7 4 4 6 8 8 7 5 4 3 4 6 4 5 9 13 13 11 6 5 6 5 4 3 2 2 4 14 23 21 14 7 4 4 6 6 6 6 7 6 6 5 6 6 5 5 5 5 6 5 5 6 7 6 5 4 4 5 5 5 5 5 4 3 2 2 3 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 6 8 12 12 11 14 14 8 6 7 7 7 7 7 7 7 6 6 6 4 4 4 4 4 6 7 6 6 7 7 8 7 7 7 6 6 7 7 7 8 8 8 8 7 6 5 7 9 11 12 10 7 5 5 6 7 8 9 8 7 6 5 4 4 5 5 4 4 4 4 4 5 5 5 4 5 5 5 5 4 5 6 6 6 7 7 7 8 7 7 13 22 33 44 44 28 14 7 5 4 4 4 5 6 5 5 6 7 7 6 4 3 3 3 4 5 4 5 6 8 7 6 5 4 3 3 4 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 5 6 7 9 11 11 10 9 10 12 16 17 14 11 8 6 6 7 8 7 7 9 10 11 9 8 6 6 6 7 7 6 4 3 3 4 5 6 6 6 6 6 6 6 6 6 5 4 3 3 2 2 2 3 3 4 5 6 6 7 8 7 6 6 6 7 8 8 8 8 7 6 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 7 7 7 13 15 11 6 3 3 4 5 6 12 15 11 5 4 10 14 10 1 -0 12 26 34 27 21 18 15 12 10 7 5 7 14 20 21 16 13 11 10 8 6 7 8 8 8 8 7 4 4 7 11 12 13 11 8 6 5 6 4 4 7 5 4 8 10 -0 -2 1 3 3 6 8 7 4 3 6 11 10 7 10 10 10 11 11 10 12 12 11 11 9 7 8 7 5 2 3 10 2 1 6 6 1 -2 2 8 2 1 12 20 20 18 12 7 4 3 4 6 6 7 7 6 4 2 3 5 2 3 9 15 17 16 12 8 6 4 4 3 1 2 5 11 14 16 18 14 8 5 5 5 5 5 6 6 5 5 6 6 6 5 5 5 5 6 6 6 7 6 4 4 4 5 5 6 6 5 5 4 3 3 4 4 5 5 5 5 6 5 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 4 4 5 4 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 6 8 12 12 10 14 14 8 6 7 8 7 8 8 7 7 7 6 5 5 5 6 5 3 4 6 6 6 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 6 6 5 6 8 11 13 12 9 7 6 5 6 7 8 7 7 6 6 6 6 5 5 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 8 9 12 17 32 46 41 27 17 11 7 4 3 4 5 6 5 5 5 6 6 5 4 4 4 5 4 4 5 6 7 8 7 8 7 6 5 4 5 6 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 3 5 6 6 7 9 13 15 14 10 9 11 16 18 15 9 6 4 6 9 9 8 8 9 10 11 11 10 8 8 7 7 7 7 5 3 3 4 5 6 7 7 7 6 6 6 6 7 6 5 5 4 3 3 2 2 3 4 5 5 5 6 8 9 8 6 6 7 7 7 7 7 6 6 5 6 6 5 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 6 6 7 10 6 2 4 5 6 6 6 6 8 15 12 3 8 18 20 13 2 -3 10 22 22 18 15 14 13 10 6 4 6 12 18 17 12 9 9 9 8 5 5 9 13 13 12 10 9 6 4 3 4 9 11 11 9 11 12 8 3 4 6 4 5 8 8 1 3 5 3 4 6 7 6 2 2 8 12 14 15 16 10 12 15 13 11 11 11 10 6 2 2 5 10 10 4 9 9 -3 2 10 6 -3 -6 2 7 3 5 11 14 14 12 8 5 5 6 7 6 7 8 8 6 2 1 4 6 4 2 5 11 16 17 17 13 8 5 3 2 2 3 5 7 8 13 17 16 15 13 7 4 5 4 4 5 4 5 6 6 6 5 5 5 5 5 6 6 6 5 3 4 5 5 5 6 6 6 5 4 4 4 3 3 5 4 4 5 6 6 6 5 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 5 8 12 13 11 12 11 7 6 9 8 7 7 8 7 7 7 6 5 4 5 6 4 3 3 6 6 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 6 5 5 6 9 11 12 10 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 5 4 5 6 6 6 7 9 10 9 11 19 28 32 31 26 19 13 8 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 7 8 8 8 8 8 7 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 3 6 7 7 8 9 14 20 20 14 10 10 14 15 13 8 4 4 7 11 12 9 8 8 9 10 11 12 12 10 8 7 8 7 6 4 3 4 5 6 7 8 8 7 7 6 6 7 7 7 6 6 5 4 3 3 3 4 5 5 5 5 8 10 10 7 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 5 6 6 6 5 5 5 5 5 6 7 5 -0 0 6 7 7 6 5 5 10 17 11 1 15 33 28 10 2 5 9 5 -2 -3 -0 2 5 6 5 6 12 17 17 11 7 9 10 10 8 4 4 7 12 15 15 11 10 8 6 3 1 6 10 12 11 10 11 10 7 8 8 4 5 6 6 5 4 4 6 5 7 9 6 3 6 12 13 13 18 15 11 16 18 12 9 8 9 8 2 2 5 6 9 11 6 8 4 6 14 11 1 -8 -8 2 11 11 10 9 10 10 7 4 5 9 10 8 7 8 10 8 5 2 2 4 6 7 5 3 5 9 13 15 16 13 7 3 3 3 3 5 5 7 9 11 14 21 20 10 6 6 4 4 5 5 4 5 5 5 5 5 5 6 5 6 6 6 3 2 4 5 6 6 6 6 6 5 4 3 3 1 2 4 4 4 6 8 9 7 5 5 4 3 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 7 11 14 13 13 12 8 7 8 7 5 6 6 6 7 7 5 4 4 4 2 -1 2 4 6 6 6 7 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 6 5 5 6 8 10 10 9 9 9 9 8 6 6 5 5 4 4 4 5 5 6 6 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 6 7 8 8 9 10 12 14 17 21 24 23 20 16 12 10 8 6 5 5 5 5 5 4 4 4 6 6 6 6 5 5 6 8 8 8 8 8 7 7 6 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 4 6 8 8 8 9 13 20 21 15 11 10 12 13 11 8 5 5 8 9 9 7 7 7 9 10 12 13 14 13 11 8 7 7 6 5 3 3 4 5 7 9 9 9 7 7 7 7 8 8 7 6 5 4 3 4 3 4 5 5 5 6 8 11 10 6 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 6 6 6 5 5 5 5 5 6 6 6 7 8 8 7 7 6 5 4 9 14 7 1 18 39 33 16 9 9 -1 -12 -16 -13 -7 -2 4 7 8 13 19 18 11 5 4 7 11 12 9 8 8 7 9 12 14 12 10 9 7 6 3 5 7 10 10 8 8 9 12 12 9 5 6 5 5 5 4 9 11 7 9 9 7 7 11 14 13 15 18 11 14 20 17 13 11 9 12 12 9 11 12 7 6 9 8 8 5 16 16 5 -5 -11 -6 6 15 18 15 9 10 8 3 2 7 12 13 11 8 9 10 7 4 3 3 4 7 8 7 5 5 5 7 11 14 15 11 6 5 4 3 3 5 6 7 7 12 19 18 9 11 14 7 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 2 1 3 6 7 6 5 6 6 5 3 1 -0 -1 2 5 5 5 8 11 11 8 6 5 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 4 4 4 5 4 6 9 11 13 14 16 12 7 8 7 6 5 4 4 4 5 4 3 3 4 1 -5 -2 4 5 6 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 8 8 9 10 10 8 6 5 4 3 2 1 2 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 10 10 10 12 15 18 20 23 22 18 14 10 7 6 6 6 4 4 4 5 5 7 7 7 6 6 6 7 8 7 7 7 7 7 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 7 8 8 7 7 10 15 17 14 10 10 10 11 11 10 9 7 6 6 4 5 6 8 9 11 13 15 17 17 14 10 7 7 7 6 4 2 2 4 7 9 10 10 8 7 7 7 8 8 7 6 5 4 4 4 4 4 5 5 6 6 8 9 9 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 6 5 5 5 5 5 5 7 7 7 9 9 7 7 6 5 4 3 9 15 7 0 13 24 19 15 9 -6 -17 -19 -15 -9 -2 5 9 10 15 21 19 13 6 3 3 4 6 8 7 10 11 8 8 9 12 13 11 9 6 8 6 4 6 7 7 7 4 6 14 12 4 2 6 5 4 5 8 11 8 9 9 5 8 12 11 9 10 13 12 7 15 20 18 20 17 13 14 13 12 13 12 8 7 12 13 12 13 16 4 -3 4 -2 -6 3 13 17 14 10 8 5 3 5 8 12 14 12 10 9 8 6 4 4 4 5 8 8 8 7 4 4 5 7 10 13 11 10 9 5 3 3 4 5 6 6 9 14 15 13 16 18 9 4 5 6 5 5 5 5 6 6 5 5 5 4 4 3 2 1 2 5 7 6 4 4 6 6 4 1 -1 -0 4 7 6 6 9 13 12 9 6 5 5 4 5 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 7 8 10 14 17 14 10 9 8 7 5 4 3 3 3 3 4 5 5 4 -2 -4 2 5 5 6 7 7 8 8 8 7 8 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 8 6 4 3 3 2 2 2 2 3 3 3 3 3 3 3 4 4 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 6 8 9 9 9 10 9 10 11 15 20 24 25 22 18 14 10 8 6 5 4 4 5 5 6 7 7 7 6 5 6 8 7 6 6 7 7 7 7 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 6 8 9 8 6 6 7 9 11 11 10 10 9 10 10 11 12 10 7 5 4 4 6 8 11 12 13 15 17 18 17 12 7 7 8 8 5 3 2 4 7 9 10 9 8 7 6 7 8 8 6 5 5 5 5 5 5 5 6 5 6 7 8 8 8 7 5 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 7 7 7 6 5 4 4 9 19 20 6 -2 8 12 3 3 -5 -21 -21 -14 -9 -1 8 12 13 16 22 23 15 8 6 5 5 4 4 4 5 9 10 7 8 10 10 10 11 8 6 9 7 3 5 6 5 4 3 7 15 8 3 3 4 3 4 7 9 6 4 8 3 2 10 13 6 2 6 10 9 7 9 14 18 24 23 16 13 7 3 2 5 6 6 11 17 15 15 11 -2 2 16 2 -6 3 9 10 11 8 5 4 6 8 9 12 13 12 10 7 6 6 6 6 6 7 9 7 7 6 5 4 4 5 7 9 10 11 11 7 3 3 5 5 4 5 7 10 14 18 16 11 6 5 10 10 9 8 7 6 6 6 5 5 6 4 3 3 2 0 1 4 6 5 3 3 6 8 6 3 1 2 5 7 7 7 10 12 11 8 6 6 5 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 9 13 17 13 9 10 10 8 5 4 4 3 2 3 5 5 4 6 4 0 2 4 5 6 7 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 8 7 6 6 6 5 6 6 7 8 8 7 6 5 5 6 6 5 4 4 3 2 2 2 3 3 4 4 5 5 6 7 6 6 5 4 3 3 4 4 4 4 4 4 5 5 7 8 9 10 10 9 9 10 13 19 23 25 25 24 19 12 8 6 5 4 4 5 6 7 8 8 7 6 6 6 7 6 6 6 7 8 8 8 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 9 9 9 15 19 20 18 16 14 13 6 8 18 17 13 13 13 9 5 5 6 13 19 21 18 12 8 6 9 12 13 13 12 12 12 11 12 13 12 12 12 13 12 14 16 15 13 11 11 13 15 18 18 16 17 17 18 15 11 8 7 7 9 11 10 9 10 11 11 11 10 10 11 13 13 13 13 12 12 13 12 13 12 10 9 9 10 11 11 10 11 13 13 14 15 14 12 9 6 6 7 8 10 12 13 13 13 12 12 12 13 14 14 14 13 11 10 9 10 10 10 11 12 14 15 15 15 13 11 12 14 14 14 13 11 9 9 11 13 14 14 14 16 17 17 16 14 15 16 18 19 20 19 17 16 14 13 11 12 13 13 12 11 12 11 11 11 11 11 10 11 11 11 14 14 13 11 9 6 6 10 20 24 19 17 16 15 14 14 12 12 12 12 13 14 13 12 12 10 11 15 16 15 15 16 17 17 18 19 21 22 23 22 21 20 20 20 20 19 17 16 16 17 18 19 18 16 15 16 16 16 18 18 17 17 17 17 17 17 16 16 17 19 19 18 15 14 14 14 14 14 13 13 12 12 12 13 13 13 13 14 14 13 13 13 12 12 11 12 12 11 11 12 12 12 12 13 12 11 12 11 11 12 12 11 11 11 11 11 10 10 10 11 12 12 13 14 14 14 13 11 11 10 10 10 10 10 10 10 10 11 11 11 10 11 11 12 12 12 11 11 11 11 11 11 11 12 11 10 11 12 11 12 11 11 11 11 11 12 12 12 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 11 10 11 13 14 14 13 13 16 16 12 10 6 3 2 6 11 13 15 14 15 15 15 15 15 15 15 16 17 18 19 23 24 22 19 15 12 11 10 11 11 12 12 12 14 15 15 14 14 13 12 12 13 13 13 12 13 12 12 13 13 13 12 12 12 13 13 12 11 10 11 12 13 14 14 13 12 13 14 14 14 15 14 13 13 15 19 23 22 15 9 10 12 13 13 12 13 14 14 15 15 13 14 15 14 14 14 14 14 14 15 15 15 15 15 14 14 13 13 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 6 2 4 13 19 20 14 12 13 19 16 7 7 11 17 19 15 10 6 7 10 12 13 12 11 10 11 12 13 13 12 11 11 12 14 16 15 11 9 9 9 11 13 15 16 17 18 20 19 15 11 8 6 7 9 10 10 9 9 9 10 12 13 13 13 15 16 14 13 12 13 14 14 14 13 12 10 10 10 10 10 11 11 11 12 13 13 13 12 9 7 6 7 8 10 11 13 13 13 13 13 13 13 13 13 14 13 11 10 10 10 10 10 11 13 14 15 15 15 14 13 13 14 14 13 12 10 11 12 12 13 13 14 15 16 16 17 15 14 15 16 17 17 17 16 15 14 13 12 12 12 12 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 9 4 0 3 14 27 28 26 21 16 14 13 12 12 12 13 13 14 14 14 15 14 13 13 13 13 14 16 18 18 21 24 25 26 26 24 22 20 19 19 19 18 16 14 14 14 15 17 17 16 15 13 14 14 17 20 18 16 17 17 16 15 13 11 10 12 14 16 16 16 15 15 14 14 14 13 13 13 14 14 14 14 15 14 14 14 13 13 12 12 12 12 13 12 12 13 13 14 14 13 12 12 12 12 11 11 11 11 12 11 11 10 11 11 11 12 12 13 14 15 14 13 11 10 9 10 10 10 9 10 10 11 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 11 10 10 11 12 12 13 12 12 13 12 11 12 12 12 12 13 14 15 15 16 15 11 6 3 2 4 7 11 13 14 15 14 14 15 15 15 15 15 15 15 16 17 20 24 23 19 14 10 10 11 11 12 11 12 12 13 13 13 12 11 12 12 12 13 13 13 14 13 13 12 12 12 13 13 12 11 11 12 13 11 10 9 12 14 15 15 14 13 13 12 13 14 15 15 14 14 14 15 19 22 18 12 8 9 11 13 13 13 13 13 12 13 15 14 14 14 14 14 14 14 14 14 15 15 15 15 14 14 15 14 14 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 18 10 9 15 14 10 7 9 12 13 11 9 6 10 12 12 13 13 12 12 14 16 15 14 13 12 11 12 13 15 14 10 9 9 7 9 10 11 12 13 15 17 17 14 11 9 7 8 10 12 12 12 11 10 11 13 14 14 13 12 12 12 11 11 14 15 13 13 13 13 12 12 11 11 12 12 12 11 10 9 10 11 11 10 8 6 6 8 10 11 13 13 13 13 13 14 14 13 13 12 11 11 11 12 13 13 13 12 12 12 13 15 16 16 14 13 12 12 13 11 11 12 13 13 13 12 13 14 15 15 16 14 14 15 16 16 15 14 14 13 13 12 12 12 13 13 12 13 13 11 12 12 12 12 12 12 12 12 12 11 11 12 12 11 9 4 1 3 12 21 28 31 26 18 14 13 13 13 13 13 13 14 15 16 15 14 14 13 13 14 16 18 19 22 26 28 28 27 24 21 19 17 17 17 16 15 15 14 12 13 14 16 17 16 15 13 12 15 18 17 15 15 15 14 14 14 11 9 10 11 13 15 15 15 15 15 14 15 15 15 14 14 14 14 14 15 15 14 14 14 13 13 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 11 11 10 11 11 11 12 13 14 15 15 14 13 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 11 11 11 12 12 12 12 11 12 12 12 12 12 11 11 11 11 11 12 13 13 12 13 13 12 12 12 12 13 13 13 15 15 16 16 16 14 9 6 7 10 12 13 14 14 13 14 15 14 14 15 16 16 15 15 16 18 18 19 20 19 15 11 11 11 11 12 12 12 13 14 13 12 12 11 11 11 12 12 13 13 13 14 13 11 11 11 12 13 14 14 13 12 12 12 10 9 11 14 15 16 15 13 12 12 12 13 13 14 15 15 15 16 15 16 21 18 12 11 10 10 10 11 13 13 12 12 12 14 15 15 15 14 13 13 13 14 14 15 14 14 14 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 9 15 16 14 13 13 13 12 12 13 14 15 16 15 13 13 13 11 11 11 12 12 11 11 12 9 7 8 9 10 9 9 10 11 13 14 12 11 10 10 11 11 11 11 12 13 13 13 12 11 10 10 9 9 9 10 13 12 10 11 12 12 13 13 12 11 9 9 10 10 8 7 8 10 12 12 9 5 6 7 11 12 12 12 12 12 13 13 13 13 13 12 11 11 11 13 14 14 14 13 11 12 13 15 16 16 14 12 10 10 11 12 13 13 12 11 12 13 14 15 14 16 17 15 14 14 14 14 14 14 13 13 13 13 12 12 13 12 13 14 13 13 13 12 12 12 12 12 13 13 12 11 11 11 11 11 13 11 6 1 0 6 15 33 36 23 16 14 13 14 13 13 13 14 14 15 16 15 15 15 14 15 16 17 17 18 22 28 32 28 22 21 18 16 16 14 14 13 13 13 11 11 11 13 13 15 15 13 14 15 15 15 15 15 15 14 14 15 15 13 11 10 10 11 12 14 15 15 15 15 15 15 15 14 14 13 13 13 14 14 14 14 13 13 13 13 13 14 14 13 13 12 12 12 12 12 12 12 11 11 10 11 11 11 12 12 12 13 14 15 16 15 14 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 10 10 10 10 10 10 11 11 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 13 13 13 12 12 12 13 14 15 16 16 16 15 14 12 12 11 9 10 14 14 14 13 13 14 15 15 14 15 15 16 16 16 17 18 19 20 21 18 16 13 11 10 11 12 11 12 13 13 13 12 10 10 10 11 12 12 13 12 12 12 13 12 12 12 12 12 13 13 14 14 14 14 12 11 10 13 15 16 15 13 12 12 13 13 12 13 14 14 15 15 17 17 17 18 18 16 13 10 8 10 12 14 13 12 11 12 13 14 14 14 13 13 13 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 16 15 14 13 11 11 10 11 12 12 13 12 11 12 14 13 11 9 10 11 12 13 13 12 12 12 12 13 12 11 11 9 9 10 12 15 16 16 13 10 9 9 9 10 9 10 11 9 9 9 10 12 13 13 12 11 9 10 11 11 10 10 10 11 11 10 8 6 6 8 11 13 13 12 11 12 12 13 13 12 12 12 12 12 10 12 13 14 15 14 14 15 15 14 14 13 13 12 10 10 11 13 13 13 13 11 11 12 14 15 16 17 17 15 14 14 13 13 14 14 14 14 14 14 13 13 13 12 13 14 14 14 13 12 12 12 12 13 14 13 12 11 11 11 12 12 12 13 12 8 2 -4 -1 25 40 30 22 17 14 13 13 13 13 14 14 14 15 16 16 16 16 16 17 16 12 8 10 21 33 30 23 22 19 16 15 14 13 12 11 12 13 11 11 11 11 13 13 13 14 14 14 14 14 15 14 14 14 14 14 13 12 11 10 10 11 12 14 15 15 15 14 15 15 14 14 14 14 14 13 13 14 14 14 13 13 13 14 13 13 13 12 12 12 12 11 12 12 12 12 12 12 13 13 14 16 15 15 16 16 15 15 12 11 10 10 10 10 10 10 11 10 10 9 10 10 10 10 10 10 11 11 11 11 11 10 10 11 10 10 11 10 10 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 11 11 12 13 13 14 14 14 14 13 12 13 13 13 14 15 15 12 9 8 10 11 11 11 12 13 14 14 14 14 15 15 15 15 15 16 16 17 17 17 19 20 22 22 19 16 12 10 10 11 11 12 12 12 11 11 9 9 9 9 11 13 13 12 12 11 11 11 11 12 13 13 14 13 13 14 13 13 13 13 12 12 14 15 15 13 12 12 12 14 13 13 13 14 15 14 14 14 14 16 18 18 16 13 11 10 10 12 13 13 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 4 5 4 3 4 5 4 3 2 3 4 3 3 3 4 5 6 6 6 5 5 6 7 9 12 14 14 12 9 7 6 6 7 6 5 5 6 8 10 10 8 7 6 5 5 5 5 5 6 6 6 6 7 5 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 16 22 27 25 21 20 25 35 40 42 41 39 36 30 24 13 2 0 0 6 17 18 17 21 26 25 24 28 34 38 40 40 40 41 41 40 39 39 40 40 38 40 44 58 76 74 51 25 11 10 20 34 47 60 74 84 89 93 94 89 79 62 54 67 88 99 92 70 46 28 11 4 8 13 12 10 6 5 0 5 11 13 8 15 23 14 8 9 14 16 13 16 25 38 54 72 85 92 95 92 90 97 97 80 67 80 89 80 71 85 107 118 120 115 107 100 91 78 70 70 64 56 55 64 70 76 93 113 123 133 145 146 136 129 135 145 146 134 121 111 105 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 3 3 3 5 3 1 1 2 4 5 5 4 4 4 5 6 6 5 5 5 5 6 7 8 8 8 7 7 7 7 8 8 6 5 5 6 9 10 10 8 6 5 5 6 6 6 6 6 6 6 5 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 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 0 0 0 0 0 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 5 9 12 16 16 16 17 19 34 40 42 42 41 37 34 32 22 6 1 0 15 24 24 24 32 40 37 33 32 34 36 35 34 32 34 38 40 42 42 44 47 46 44 43 54 74 71 40 18 14 14 16 20 28 42 53 65 74 84 91 90 79 61 48 52 66 80 84 77 67 54 34 16 8 6 8 2 0 0 0 0 1 1 3 3 5 0 1 1 2 4 2 1 2 9 32 49 71 90 98 102 102 104 103 89 73 76 87 93 97 105 110 110 106 99 93 92 96 102 107 105 96 96 102 96 88 94 110 127 136 146 154 147 129 116 118 138 152 146 134 122 113 113 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 1 1 2 3 3 3 2 0 0 1 2 5 6 6 5 4 4 6 6 5 4 4 4 5 5 6 6 6 7 7 8 8 8 8 7 6 5 6 6 8 10 9 7 5 5 6 6 7 5 4 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 1 3 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 5 6 6 7 9 13 16 19 24 35 41 42 39 38 37 36 29 13 2 0 15 29 32 33 41 44 38 30 27 30 30 27 23 21 25 33 39 43 45 46 50 52 48 43 52 68 59 28 13 12 13 12 12 14 25 34 42 51 64 77 84 80 72 62 56 53 55 60 63 65 66 59 44 33 27 26 22 18 10 3 4 7 15 20 10 2 0 4 3 0 0 0 0 2 6 26 46 66 91 103 108 112 112 106 89 69 62 66 74 80 80 76 70 68 61 59 58 63 83 105 117 122 133 132 114 109 118 128 139 151 161 166 157 135 118 115 129 148 151 141 130 119 112 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 1 0 0 2 3 2 1 0 0 0 0 1 4 6 6 5 5 5 6 6 5 4 4 4 4 4 6 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 6 6 5 5 6 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 2 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 2 3 5 5 5 3 2 4 13 19 23 32 40 42 39 37 37 37 33 18 5 3 16 32 37 41 45 41 30 21 20 23 24 19 15 12 17 28 38 45 48 50 54 58 51 41 49 61 40 10 6 7 7 8 7 8 6 11 19 28 40 54 65 71 75 77 68 56 48 44 40 39 49 55 59 56 52 48 50 51 47 38 27 30 42 39 19 3 0 2 6 5 0 0 4 20 39 57 77 91 109 116 111 114 119 110 91 66 53 57 62 65 67 63 57 57 53 46 41 44 58 88 109 124 140 146 142 142 146 147 146 150 160 168 160 139 119 111 121 139 143 132 116 105 96 88 nan nan nan nan nan nan nan nan nan nan 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 2 0 0 1 2 2 0 0 0 0 0 0 1 4 6 7 7 6 6 6 6 5 5 4 4 4 6 7 8 8 7 6 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 3 1 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 1 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 4 3 3 9 17 22 28 38 43 42 39 37 38 34 22 13 10 19 34 40 43 42 32 21 16 16 17 15 9 4 2 8 22 34 42 48 54 58 60 52 39 45 51 8 0 0 1 1 2 2 1 0 1 2 7 17 29 42 52 60 65 66 60 52 45 34 26 25 31 46 57 64 66 69 73 72 65 55 52 58 58 34 8 8 4 15 29 26 8 6 32 67 86 101 110 125 131 113 111 121 117 101 76 56 56 60 65 69 70 70 70 65 54 46 48 64 89 107 116 129 145 160 166 168 163 151 144 151 163 157 139 123 117 123 133 130 111 91 81 72 62 nan nan nan nan nan nan nan nan nan nan 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 7 3 0 0 1 1 0 0 0 0 0 0 0 2 5 9 9 8 7 6 6 6 6 5 5 4 6 8 10 10 9 6 4 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 4 2 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 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 5 7 12 19 23 33 44 46 42 38 38 36 31 30 26 29 36 39 39 32 21 13 10 10 10 6 2 0 0 2 16 26 33 41 49 57 60 53 40 44 40 9 0 0 0 0 0 0 0 0 0 0 0 2 8 17 29 40 46 50 51 49 45 36 29 22 20 26 36 55 70 77 80 77 71 65 64 69 74 64 41 33 21 26 54 62 44 26 47 85 99 104 117 135 140 119 107 112 118 114 96 75 65 67 72 77 82 88 89 85 70 58 65 91 115 123 120 122 133 150 167 175 172 161 149 150 159 156 143 132 126 129 135 126 99 77 66 56 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 20 16 12 8 5 3 2 1 0 0 0 0 0 0 0 0 2 7 10 9 7 6 6 6 6 6 6 5 6 8 11 14 13 11 8 5 4 4 5 6 7 5 4 4 3 3 3 3 4 4 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 6 8 13 19 28 40 48 48 43 39 37 42 45 41 36 33 29 25 20 12 5 3 2 2 1 0 0 0 0 4 14 21 28 37 47 55 55 48 46 30 6 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 16 28 36 40 42 42 41 39 33 24 22 25 36 56 80 89 82 72 68 74 81 84 99 99 94 77 60 86 88 95 87 98 110 109 111 126 139 137 116 100 100 113 121 113 94 80 76 79 84 91 102 108 106 94 82 86 112 135 139 135 131 133 140 156 170 176 175 170 165 165 156 147 140 136 138 141 130 105 81 65 50 36 nan nan nan nan nan nan nan nan nan 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 14 12 10 7 4 1 0 0 0 0 0 0 0 0 3 7 8 6 5 6 5 5 6 6 6 6 7 11 15 16 15 12 10 8 6 6 7 8 6 5 4 3 2 1 0 1 1 2 2 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 1 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 5 6 8 14 24 35 48 54 51 42 35 42 47 42 31 19 10 7 5 1 0 0 0 0 0 0 0 0 0 0 1 6 13 22 34 46 55 58 51 22 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 18 26 32 37 42 45 45 39 31 24 21 33 65 90 93 74 64 78 95 91 108 125 135 134 123 128 127 134 125 119 118 118 121 131 138 132 111 91 85 96 112 118 112 98 86 83 86 92 102 111 116 113 104 104 121 136 143 148 150 148 147 156 167 183 196 197 188 176 161 150 143 141 145 148 140 119 94 72 55 45 42 nan nan nan nan nan nan nan nan 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 9 14 16 15 14 13 9 4 1 0 0 0 0 0 0 0 0 2 5 5 3 4 4 3 5 6 8 8 9 10 13 15 15 14 12 10 8 7 7 7 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 7 19 28 41 50 52 43 33 32 31 25 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 24 40 53 63 52 22 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 16 23 32 45 50 55 52 40 26 22 40 71 89 78 63 76 105 111 115 128 139 145 143 145 150 152 145 138 134 132 131 134 136 130 111 86 70 74 92 113 122 116 102 92 85 88 99 105 112 117 114 116 126 135 144 151 156 157 158 161 169 186 205 214 206 188 169 155 146 144 146 150 144 125 105 84 70 64 65 nan nan 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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