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 9 9 9 9 8 8 5 4 5 5 6 7 8 9 9 9 8 6 6 5 5 5 5 4 4 4 3 4 3 3 3 3 3 2 2 2 3 4 3 3 2 1 1 1 1 1 2 2 1 1 1 1 1 2 2 3 3 4 4 4 4 4 3 3 3 2 2 3 3 3 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 7 5 4 5 6 6 7 7 7 7 6 5 5 6 7 7 6 6 6 5 3 0 -0 3 7 8 8 7 8 2 0 2 3 3 3 4 4 6 5 5 6 6 6 5 4 5 5 4 2 1 2 1 0 1 1 4 5 4 4 4 6 8 6 2 -1 -1 1 1 2 6 5 2 2 3 3 1 2 4 2 2 4 4 5 6 3 -0 -2 -1 4 17 36 43 29 13 6 4 3 4 5 5 4 2 2 2 3 4 5 6 8 11 16 19 19 15 10 7 5 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 4 3 3 4 6 8 7 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 4 3 4 4 4 4 3 3 2 3 3 4 4 3 4 4 5 5 4 3 1 1 2 3 4 4 4 4 4 5 7 8 8 8 7 6 5 5 4 5 5 5 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 4 3 4 8 15 19 15 12 11 12 9 1 -5 -8 -8 -8 -2 2 4 7 7 4 5 7 6 4 -1 -6 -6 -4 -6 -6 -2 3 6 7 7 8 8 9 10 13 16 15 12 9 8 7 7 6 6 6 7 8 10 14 16 16 14 13 11 8 7 6 7 9 9 7 7 8 8 9 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 6 6 7 8 9 10 9 7 6 5 5 5 6 7 8 8 8 8 7 6 6 5 6 5 5 5 5 5 5 5 5 5 4 4 3 2 3 3 3 3 3 3 3 2 2 2 1 2 1 0 0 0 0 0 1 2 2 3 3 3 4 3 3 3 3 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 5 5 5 6 5 5 5 6 6 6 6 6 6 7 7 6 7 7 8 6 5 4 5 6 6 7 7 7 6 5 5 6 6 6 6 6 6 5 2 -0 1 4 9 10 10 11 8 3 2 2 2 3 2 3 5 4 4 5 7 8 8 8 7 6 4 2 0 2 4 4 2 1 -0 1 5 6 6 7 6 5 5 5 2 -1 -2 -1 0 4 6 3 3 3 1 -0 1 4 3 2 3 4 5 6 6 5 5 8 15 28 38 33 17 6 5 4 3 4 5 4 4 2 2 2 3 4 5 7 8 12 17 20 19 15 11 8 5 4 3 3 2 2 2 3 3 4 4 4 4 4 4 4 3 2 2 2 4 6 7 6 5 5 4 4 4 4 5 6 5 4 4 4 4 4 4 4 5 5 5 4 4 2 0 1 3 4 3 2 3 3 3 3 4 4 4 4 4 5 5 4 3 3 2 2 2 3 3 4 4 4 5 5 7 8 8 8 7 6 5 5 5 5 5 4 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 5 6 5 5 4 4 3 4 7 13 15 14 13 13 14 13 10 11 6 3 3 4 5 7 8 8 9 10 8 6 4 1 -1 -2 -3 -6 -5 0 5 7 7 6 6 6 7 9 12 12 10 9 8 7 6 6 4 5 6 7 10 13 15 15 14 10 6 4 5 7 10 12 10 7 6 7 8 8 7 6 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 5 7 8 8 8 7 6 6 5 6 6 7 7 7 7 7 8 8 7 6 6 6 6 6 6 6 5 6 6 6 5 5 4 4 3 3 3 3 4 4 3 3 2 2 2 1 0 -0 -1 -0 0 1 1 2 2 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 5 5 5 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 4 4 5 5 5 4 4 5 5 6 6 5 5 5 6 6 6 6 7 7 7 6 6 7 7 7 7 5 5 5 6 7 7 7 7 6 6 5 6 6 6 6 6 6 3 0 -0 4 6 7 8 8 10 6 5 3 1 2 6 6 4 4 3 4 3 3 2 3 4 6 6 4 2 1 3 5 5 6 4 2 4 9 10 9 8 7 4 2 4 6 5 1 -1 1 5 8 7 5 4 0 -1 1 5 6 2 2 3 4 8 11 12 13 17 27 35 33 20 8 4 4 3 4 4 4 4 3 2 2 3 3 4 5 6 8 12 17 20 19 15 11 8 6 5 4 3 2 2 2 3 4 5 5 5 4 3 4 3 3 2 1 2 3 6 7 5 5 5 5 4 4 5 6 6 5 5 4 5 5 4 4 5 5 6 5 5 4 3 -1 -3 1 3 2 0 2 4 4 3 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 5 5 6 7 7 7 8 7 7 6 6 5 5 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 3 3 6 9 10 10 10 10 11 11 10 8 7 6 6 6 5 5 6 9 9 7 5 4 5 3 2 1 -0 -1 2 5 6 7 7 7 6 5 5 6 7 7 6 6 6 5 5 5 4 5 8 9 10 12 12 9 6 4 3 4 7 11 15 14 8 4 5 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 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 4 4 4 3 3 2 2 1 1 0 -0 -0 1 2 2 2 2 3 3 3 2 3 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 5 6 6 6 7 7 8 8 8 7 7 7 7 7 7 6 5 6 6 6 6 7 7 7 6 5 5 5 5 6 6 4 2 -2 -5 0 6 4 3 5 8 6 6 6 3 3 10 12 6 1 1 3 3 1 -2 -3 -1 2 2 1 1 2 3 4 7 10 9 8 10 12 13 11 10 9 5 -0 1 8 12 9 6 6 8 11 11 7 4 1 1 4 8 6 3 2 4 7 11 15 18 22 27 34 33 22 10 5 4 4 3 4 4 4 4 2 2 2 3 3 4 6 7 8 11 17 20 18 14 11 9 7 5 4 3 2 2 3 3 4 5 5 4 4 4 3 3 2 1 2 2 4 6 7 5 5 6 5 4 5 6 6 5 4 4 4 5 4 4 5 5 6 7 7 6 5 5 3 -3 -2 2 2 0 2 4 5 4 4 3 4 5 6 6 5 4 3 3 3 3 3 4 4 4 4 5 5 6 7 7 7 7 7 7 7 8 7 6 5 4 3 3 3 3 4 4 4 5 5 6 5 5 5 5 5 4 4 3 3 4 4 5 5 5 6 6 5 5 5 4 4 4 3 2 2 3 4 4 6 6 6 6 6 6 6 6 5 7 8 5 3 3 5 6 7 7 4 3 2 3 3 4 4 5 5 5 7 8 10 8 4 3 4 4 5 5 4 5 5 5 5 5 5 7 8 8 10 9 6 4 3 3 3 5 10 15 15 9 5 5 6 6 5 6 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 3 3 3 4 4 5 5 4 5 5 6 5 5 5 5 6 6 7 8 9 8 8 8 7 7 6 6 6 6 6 6 5 5 4 3 3 3 3 3 4 3 2 2 2 2 2 1 1 1 1 2 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 5 4 4 5 4 4 4 4 3 3 3 3 3 3 3 4 4 3 3 3 4 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 6 6 7 7 8 8 9 9 8 7 7 7 7 7 6 5 6 6 6 6 7 7 7 6 6 6 5 5 5 5 3 1 -3 -9 -8 1 5 4 8 9 5 6 8 6 4 7 9 4 -2 -1 4 5 3 0 -1 -2 -1 -2 -2 -1 3 6 5 8 15 14 11 11 12 13 13 12 12 9 2 -0 6 13 12 12 12 10 11 11 8 5 4 5 6 7 6 6 7 8 10 14 18 23 28 34 33 23 12 5 4 4 3 4 4 4 4 3 3 2 2 3 4 5 6 7 8 11 16 19 18 14 10 9 7 6 4 3 2 2 3 4 4 5 4 3 3 3 3 2 2 2 2 3 4 7 9 8 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 7 7 6 5 5 3 -1 -3 0 5 6 4 5 6 5 4 3 3 5 6 5 5 5 4 3 4 4 4 4 4 4 4 4 5 6 7 7 7 6 6 7 7 8 9 8 6 4 3 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 4 4 5 5 6 6 5 5 4 3 2 2 2 2 1 1 1 1 2 3 3 4 5 5 4 4 4 6 9 8 6 6 6 6 9 9 5 1 2 5 6 6 5 5 5 5 6 9 10 10 6 4 3 4 4 5 5 5 6 6 5 5 6 7 7 8 8 7 6 4 3 3 4 6 7 11 13 9 6 6 7 6 5 5 6 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 5 4 4 4 5 5 6 8 9 9 9 8 8 7 7 6 6 5 5 5 4 3 3 3 3 3 3 2 2 2 1 2 2 1 2 2 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 6 7 7 6 7 7 7 7 7 8 9 9 9 8 7 7 7 7 6 6 6 6 7 7 6 6 7 7 6 6 6 6 5 4 2 1 -1 -5 -5 1 4 6 11 8 4 8 8 8 6 1 2 2 -1 0 6 7 4 3 2 0 -1 0 -0 1 4 9 9 10 13 13 9 7 8 13 14 12 11 10 6 2 5 10 11 10 11 8 6 7 7 8 8 8 8 8 7 9 10 11 12 15 20 25 29 30 22 12 6 4 5 4 4 4 4 4 3 3 3 3 3 3 3 5 6 7 8 10 15 18 18 14 11 9 8 6 4 2 2 3 4 4 4 3 3 3 3 3 2 3 3 3 3 4 5 7 10 9 6 4 4 5 5 5 5 5 4 4 4 4 4 5 5 6 7 7 6 6 4 4 2 1 -1 -0 5 8 7 6 6 5 4 4 5 6 5 5 5 5 4 4 4 4 4 4 4 4 3 4 5 6 7 7 7 6 6 6 6 8 9 9 7 5 3 2 2 3 3 4 5 4 5 5 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 4 4 3 1 0 1 2 2 1 0 0 0 1 2 3 4 5 5 4 2 4 7 9 10 11 9 10 13 12 8 4 5 7 6 5 4 4 5 6 6 7 10 10 8 6 5 4 4 5 5 6 7 7 6 6 6 6 7 8 8 8 7 5 4 3 4 4 3 6 8 7 5 5 6 6 5 4 6 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 3 4 3 4 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 3 4 5 6 7 8 8 8 8 7 7 5 5 5 4 4 3 3 3 3 3 3 2 2 1 1 1 2 2 1 2 2 2 3 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 3 3 3 3 4 3 3 4 3 4 4 4 4 4 3 3 3 3 3 4 3 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 6 6 7 7 7 7 7 7 6 6 8 10 10 9 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 2 1 1 5 5 3 6 6 6 10 9 8 5 2 3 5 4 4 7 6 2 3 5 4 3 4 4 3 5 9 10 10 9 8 4 3 6 10 12 10 8 8 6 4 7 9 8 5 7 6 1 3 6 10 10 9 9 10 10 10 10 10 11 15 19 22 24 20 12 6 4 5 5 4 4 4 4 3 3 3 3 3 3 3 4 5 6 7 8 9 13 17 17 14 11 10 9 6 4 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 5 4 5 7 9 9 7 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 3 3 2 2 5 7 7 6 4 3 5 6 6 6 5 4 4 4 4 5 5 4 4 4 4 3 3 5 5 6 7 7 7 6 6 6 6 7 8 8 6 4 2 2 2 2 3 3 4 4 5 6 6 7 7 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 4 2 2 3 5 4 3 2 2 3 3 3 3 3 4 5 4 4 5 5 7 10 11 13 15 13 9 8 7 6 4 4 4 3 4 6 6 5 6 7 8 7 7 6 6 5 6 7 7 7 7 6 6 6 7 8 8 8 8 7 5 2 2 1 2 3 3 2 2 3 6 6 5 5 6 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 3 3 3 3 3 3 4 4 4 3 3 2 2 3 3 4 3 3 3 3 3 4 5 6 7 7 7 7 6 5 5 4 4 4 3 3 3 3 3 3 2 2 1 2 2 2 2 2 2 2 3 3 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 2 3 3 3 2 3 3 3 3 3 3 3 4 3 4 4 3 3 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 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 5 6 7 9 10 10 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 3 3 3 1 2 5 4 4 6 9 11 10 6 5 4 4 7 7 7 6 3 0 3 6 5 4 5 4 3 4 6 7 8 6 3 2 3 6 5 8 10 9 6 4 7 10 6 1 4 11 9 4 3 6 7 6 7 10 12 12 10 8 9 11 15 17 18 18 13 7 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 4 6 6 7 7 8 10 14 16 14 11 9 8 7 4 3 3 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 6 8 9 7 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 6 7 7 5 4 5 8 8 5 3 3 5 7 7 6 5 5 4 4 4 5 5 4 4 5 4 3 3 4 5 5 6 6 6 6 6 6 5 6 6 7 7 6 5 4 2 1 2 3 3 4 5 5 6 7 7 7 7 7 7 7 6 5 4 4 3 3 4 6 6 6 7 6 6 6 7 7 6 6 5 4 4 3 3 4 3 4 5 7 7 6 4 4 5 9 13 13 11 9 8 7 5 4 4 4 3 4 5 7 6 3 3 5 7 7 7 6 6 6 7 7 7 8 8 7 5 6 7 7 8 8 7 6 3 2 2 2 2 2 1 0 2 4 5 5 4 4 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 1 2 3 3 3 3 2 2 3 3 4 4 3 2 2 2 2 3 3 3 4 3 2 3 3 4 5 6 6 7 6 5 4 4 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 8 10 11 10 9 9 10 10 9 7 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 5 4 4 4 3 3 0 -1 4 7 7 8 10 10 6 5 8 8 5 4 6 7 6 2 1 4 7 8 5 5 3 3 4 5 6 7 5 3 3 6 7 2 3 11 13 8 2 7 11 4 -1 4 7 8 9 5 7 5 4 8 12 13 11 9 8 9 12 13 14 16 14 8 5 5 5 6 5 4 3 3 4 4 4 3 3 3 3 4 4 5 6 6 6 7 8 11 14 15 12 9 7 5 4 3 3 3 3 4 5 4 4 4 4 4 5 5 5 5 5 5 5 6 8 10 10 9 7 6 6 6 7 7 7 6 7 7 8 8 7 7 7 6 5 6 8 8 7 7 7 6 6 7 8 7 4 2 2 5 6 6 6 6 5 5 4 5 5 5 5 5 4 4 3 3 4 4 5 5 5 5 5 6 6 5 5 5 6 7 8 7 6 5 3 2 1 2 3 4 5 6 7 7 7 7 7 7 8 7 6 5 4 3 3 4 7 10 8 7 7 8 7 8 7 5 4 4 3 4 4 4 5 5 5 5 6 7 9 8 5 5 8 10 10 10 10 9 7 5 4 4 4 4 4 6 9 8 5 3 2 4 7 7 7 6 6 5 7 7 8 8 7 6 6 6 7 7 7 7 6 4 3 3 2 2 3 2 1 1 2 3 4 3 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 2 2 3 3 3 3 2 2 2 3 3 4 4 3 2 2 2 2 3 3 3 4 3 3 3 4 4 4 5 5 6 6 5 4 3 2 2 2 2 2 2 2 2 1 1 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 2 2 2 2 2 2 3 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 6 7 9 10 11 11 10 8 9 11 11 10 8 6 6 6 7 6 6 6 6 6 6 7 7 7 6 6 5 4 4 4 3 3 3 2 4 8 9 7 7 6 4 4 6 6 3 3 5 6 5 3 4 6 9 10 7 7 6 4 5 6 7 7 7 5 3 5 7 2 2 9 14 9 2 4 8 6 5 7 4 3 4 3 4 4 6 12 17 15 10 8 6 6 9 10 12 13 10 6 5 5 6 6 5 4 3 3 4 4 4 3 3 3 4 4 4 4 5 5 6 6 7 8 12 14 13 10 7 5 4 3 3 4 4 5 6 6 5 5 5 5 6 5 5 5 4 5 5 6 8 11 13 13 12 11 10 8 8 8 8 8 8 8 8 9 10 10 9 8 6 7 8 8 6 6 5 5 5 6 8 6 2 1 2 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 3 3 3 4 5 5 5 3 3 4 5 6 5 5 5 6 7 8 8 8 6 4 2 0 1 2 4 5 7 7 7 6 7 7 7 7 6 5 4 4 4 5 9 12 11 7 7 7 7 7 6 5 4 3 3 3 4 5 6 8 8 8 6 8 10 13 11 8 9 10 10 10 9 8 7 6 5 5 5 5 4 6 10 11 8 7 6 5 7 7 7 6 5 4 5 6 7 7 7 7 6 6 7 7 7 6 6 5 4 2 1 1 2 3 2 1 2 3 3 2 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 5 4 3 3 4 4 4 3 2 2 3 4 3 3 2 1 1 2 3 3 3 4 4 4 3 3 3 3 4 4 5 6 6 5 4 2 2 2 2 2 2 2 2 1 1 1 2 3 3 3 4 4 4 4 3 3 4 3 3 3 2 2 3 3 3 3 3 4 3 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 3 3 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 8 9 10 11 12 10 9 9 10 12 11 10 8 6 6 7 7 6 6 6 6 6 7 7 7 6 6 6 5 5 5 4 3 4 4 5 6 9 11 8 4 3 3 3 2 1 0 2 4 3 3 6 8 7 8 8 10 11 9 7 7 8 9 8 7 6 2 3 6 4 3 6 11 8 4 3 3 6 10 10 4 3 2 -1 -2 1 9 17 18 13 8 5 4 5 6 8 10 10 6 5 5 6 6 5 4 4 3 4 4 4 3 4 4 3 4 4 4 4 5 5 5 6 6 7 9 11 12 11 9 7 6 5 6 6 6 7 7 6 6 5 5 6 6 5 5 4 4 4 5 5 7 9 11 13 15 15 14 13 12 10 10 11 11 10 9 8 10 10 9 8 7 7 6 5 5 5 6 5 5 5 6 4 1 1 2 3 3 4 5 5 6 5 5 5 5 5 5 5 5 5 5 4 3 3 4 5 4 2 0 -0 2 5 5 5 5 6 6 7 8 9 9 8 5 2 -1 -0 2 4 5 7 7 6 5 6 6 6 5 4 3 4 4 6 9 12 12 7 6 6 6 6 5 5 4 4 4 4 5 5 7 9 11 10 9 8 10 12 11 9 9 10 11 11 10 10 9 8 7 7 7 6 5 5 8 10 9 8 8 6 6 7 6 6 5 4 4 5 6 7 7 7 6 6 7 7 6 6 6 5 4 2 2 1 2 3 2 2 3 3 3 3 2 2 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 8 6 5 4 4 4 5 4 2 2 2 3 3 3 2 2 1 2 2 2 2 2 3 3 3 3 4 3 3 3 4 5 5 6 5 4 3 3 2 2 2 2 2 2 1 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 6 5 5 6 5 5 5 5 4 4 4 5 5 5 6 7 8 8 8 9 10 10 11 12 12 11 10 11 12 13 11 9 7 7 7 7 7 7 6 5 6 7 7 7 7 6 6 6 5 5 5 4 4 4 4 7 8 12 13 9 4 3 3 4 2 1 1 3 4 2 3 9 11 6 4 4 9 12 12 9 8 9 9 7 5 4 2 2 5 5 4 4 7 6 3 5 4 7 11 6 2 5 8 6 -2 -1 10 17 15 9 4 2 3 7 7 8 10 9 5 4 5 6 5 4 4 3 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 9 10 11 10 10 9 8 8 8 8 8 7 6 6 6 6 6 6 5 4 3 3 3 3 4 5 6 8 9 10 11 12 13 13 12 12 12 12 11 10 8 7 8 8 7 7 7 6 7 8 7 8 8 7 5 3 2 1 0 2 2 3 3 4 5 5 5 5 6 5 5 5 5 6 6 6 5 4 3 3 4 5 3 0 -3 -5 -3 2 5 5 5 6 7 8 9 11 11 10 7 3 -1 -1 0 2 5 5 5 4 4 5 6 5 3 2 2 3 5 8 11 10 7 4 4 5 5 5 5 5 5 6 5 6 8 8 8 8 9 8 7 8 7 7 7 8 9 10 10 11 11 11 11 9 9 8 6 5 5 6 7 7 6 5 4 5 6 5 6 5 4 3 4 5 6 6 6 6 7 7 6 7 7 6 6 5 3 3 2 2 4 4 4 4 3 3 2 2 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 7 7 7 6 5 5 6 5 3 2 2 2 3 3 2 2 1 2 2 1 1 1 1 1 2 3 4 3 3 3 3 3 4 6 7 7 5 4 3 2 2 3 3 2 2 2 2 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 2 3 2 2 3 2 3 3 3 3 3 3 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 4 4 5 6 7 8 9 9 10 10 11 11 12 12 12 11 12 13 13 11 9 7 7 7 7 7 7 6 5 6 7 8 8 7 6 6 6 6 6 5 4 4 3 4 7 9 9 7 6 3 3 6 6 6 5 6 6 4 3 5 9 11 6 2 2 6 11 13 10 9 9 7 5 3 3 3 3 5 7 5 5 5 2 -0 5 7 6 7 4 5 7 12 13 3 2 11 16 11 7 3 1 3 6 7 9 11 7 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 5 5 5 6 6 7 8 9 10 11 10 10 10 9 8 8 7 6 6 6 6 6 6 5 4 3 3 3 3 3 3 4 4 5 5 6 6 7 8 8 9 8 8 8 9 9 8 8 8 8 8 10 10 9 9 9 10 11 10 6 3 2 1 1 1 2 3 3 3 4 4 5 5 5 5 4 4 4 6 6 6 6 5 3 3 4 5 6 4 1 -4 -7 -4 3 6 6 6 6 7 8 10 11 12 11 9 4 -0 -2 -3 -1 2 4 4 3 3 4 4 3 1 0 1 3 6 7 7 5 4 4 4 4 4 5 6 6 6 5 6 7 7 6 5 6 6 6 6 6 5 6 6 7 8 9 10 11 11 12 11 10 9 8 6 5 5 4 4 4 4 4 4 4 3 3 4 4 3 4 4 5 5 6 7 7 7 7 7 7 7 6 6 6 5 4 3 4 6 6 5 4 3 3 3 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 5 6 7 6 6 5 6 7 5 3 2 3 3 2 2 1 1 2 2 1 1 1 1 1 1 2 3 3 3 3 3 3 4 4 6 8 7 5 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 2 2 3 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 6 7 8 9 10 10 11 11 12 13 13 13 13 13 13 13 10 8 8 7 7 8 8 7 5 5 6 7 8 8 7 5 6 7 6 5 5 4 4 3 4 5 7 4 1 1 3 6 7 4 7 7 9 8 3 3 5 7 9 6 3 3 6 11 13 12 10 8 7 4 3 2 3 4 5 7 6 4 4 1 -1 2 4 4 5 6 8 9 11 10 4 6 12 15 10 6 3 2 4 5 7 11 10 6 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 6 6 6 7 7 9 9 10 10 9 9 8 7 7 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 3 4 5 5 5 5 6 7 10 11 10 9 9 9 9 8 7 8 10 11 10 7 4 3 3 2 2 2 3 4 3 4 5 5 5 4 4 4 3 1 1 4 6 6 5 4 3 4 6 8 9 8 6 2 -1 2 6 6 6 6 6 7 8 9 11 12 12 10 6 1 -3 -6 -5 -2 1 2 0 1 2 3 2 2 2 3 6 7 6 4 3 4 4 4 4 7 10 9 6 5 4 5 6 5 4 5 6 6 5 5 4 4 5 5 5 6 7 8 9 9 10 10 10 9 8 7 6 4 3 3 4 6 5 3 3 2 2 3 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 6 5 5 7 7 8 8 11 13 10 6 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 5 6 6 5 7 8 7 4 3 4 4 3 2 2 2 2 2 1 2 1 1 1 1 1 2 2 2 2 3 4 4 4 5 7 8 7 6 5 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 3 3 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 3 4 4 4 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 7 8 9 10 10 11 13 13 14 13 13 13 13 13 12 10 8 7 7 7 8 8 6 5 5 6 8 8 8 7 4 5 7 7 6 5 4 4 4 4 3 5 4 3 2 4 8 6 2 2 5 12 12 3 2 3 4 7 7 6 7 7 9 12 12 11 9 6 4 3 2 3 5 5 5 6 4 5 4 1 -0 2 4 7 10 9 6 8 7 5 10 14 13 9 5 3 2 3 4 9 12 9 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 8 9 9 8 8 8 7 6 6 7 6 6 5 4 4 3 3 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 5 6 8 8 8 8 7 6 6 6 6 7 7 8 7 6 6 5 4 4 3 3 4 4 5 5 6 6 6 6 5 3 2 -1 -4 -3 2 5 5 5 5 5 6 9 12 13 11 8 8 6 6 7 6 5 5 6 6 7 7 9 10 11 10 8 3 -3 -10 -11 -7 -4 -3 -1 1 4 4 5 6 6 6 6 6 3 2 3 4 3 3 8 14 13 9 7 5 5 5 5 5 4 5 5 5 4 4 3 3 3 3 3 4 5 6 7 8 8 9 10 9 9 7 5 4 3 3 4 4 3 3 2 1 2 3 4 5 4 3 4 5 5 5 6 7 7 7 7 7 7 8 9 9 9 8 8 7 14 29 33 23 8 -0 -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 nan nan 3 2 2 2 4 5 6 5 6 7 8 6 5 5 4 4 4 3 2 2 3 3 2 1 1 1 1 1 2 2 1 1 2 3 4 4 5 6 7 8 8 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 3 4 4 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 4 4 4 5 4 5 5 6 7 8 9 10 12 13 13 13 13 12 12 12 12 12 11 9 8 7 8 8 7 7 6 5 5 6 8 9 8 7 5 6 7 7 6 5 4 4 4 4 3 4 7 10 6 3 7 8 8 5 5 10 12 6 4 2 2 5 7 7 6 4 5 9 13 12 10 7 5 4 3 4 5 5 5 6 5 5 8 5 2 4 7 11 12 8 4 4 6 8 12 15 13 8 4 2 1 1 5 11 12 8 5 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 4 4 5 5 6 6 7 8 10 11 8 6 4 0 -3 -3 1 5 5 5 6 6 8 11 14 13 9 7 7 7 6 5 4 4 4 4 4 4 5 5 5 7 9 9 5 -3 -10 -11 -6 0 2 2 4 5 5 6 7 6 5 5 3 1 1 2 4 2 2 9 12 9 7 6 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 3 4 5 6 7 8 9 10 9 8 7 5 4 3 3 3 3 3 3 2 2 3 4 5 6 5 5 5 4 5 5 5 6 6 6 6 7 8 10 11 13 12 6 2 13 32 39 29 12 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 nan nan 3 2 1 2 3 5 5 5 6 6 7 8 8 7 5 3 3 3 3 3 4 4 4 3 2 2 1 1 2 2 1 1 2 4 5 5 5 5 6 7 8 7 7 6 5 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 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 3 3 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 9 10 12 14 13 13 13 12 12 12 11 11 10 8 8 7 7 7 7 7 5 5 5 6 8 9 9 8 7 7 7 7 5 4 4 4 5 5 4 5 7 10 8 1 5 12 13 10 8 8 7 8 6 4 2 3 5 3 -0 -1 2 8 13 13 10 7 5 4 3 4 5 4 5 7 6 5 7 10 8 6 8 12 12 7 1 2 6 9 10 13 12 7 4 2 1 3 7 11 10 6 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 7 6 6 6 6 5 5 5 4 4 3 2 2 2 2 1 2 2 2 2 2 2 2 3 4 4 4 4 3 3 3 4 4 4 5 6 6 6 7 7 6 7 6 6 5 5 5 6 6 6 6 7 6 6 6 5 5 4 5 7 10 13 13 11 11 8 4 -1 -2 1 3 3 4 5 7 7 9 10 8 4 5 5 5 5 4 2 2 1 -0 -0 -0 -0 -1 0 5 8 9 8 4 1 3 5 5 5 5 5 5 6 6 6 5 5 3 1 -0 1 4 4 0 4 8 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 3 4 6 7 8 9 10 10 9 7 5 4 3 3 3 3 3 3 3 3 4 5 6 6 5 5 4 4 4 4 5 5 5 4 5 6 9 12 15 13 5 3 10 19 24 18 10 5 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 4 3 2 2 2 3 4 5 5 5 4 5 9 12 12 8 4 3 2 3 3 4 5 5 4 4 3 3 2 2 2 2 3 3 5 5 5 5 5 5 6 6 7 9 9 7 6 5 5 4 4 4 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 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 5 5 4 5 5 4 4 4 4 4 5 5 6 7 8 9 10 13 14 15 14 13 13 12 11 11 10 8 7 7 7 7 7 7 6 5 5 5 7 8 9 9 8 7 7 7 6 5 4 4 5 5 6 6 7 10 10 8 1 5 11 8 10 10 7 4 5 6 5 3 3 3 0 -2 -0 5 10 12 12 10 6 4 3 3 4 3 3 5 8 7 3 4 7 7 6 7 11 12 6 -1 0 5 7 7 9 10 7 4 3 3 4 7 11 9 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 2 2 1 1 2 2 3 3 2 2 3 4 4 4 3 3 3 4 4 3 4 5 5 6 6 6 6 6 6 6 5 6 6 5 6 6 7 7 8 7 7 7 5 4 2 2 3 5 7 9 11 11 10 6 3 -1 -2 -2 -2 -1 0 4 6 5 6 5 4 3 3 4 4 3 1 -0 -2 -2 -2 -3 -3 -2 0 2 5 9 12 11 10 8 6 6 6 6 6 6 6 7 7 7 6 4 1 -1 2 5 4 5 7 8 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 3 4 5 5 7 8 9 10 10 9 8 5 4 4 4 3 3 4 4 5 5 5 5 5 6 5 4 4 3 4 5 5 5 4 4 5 8 12 15 13 7 4 6 8 8 7 6 5 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 2 2 3 3 4 3 3 3 2 4 8 13 15 10 6 4 3 3 3 3 4 5 5 6 6 6 5 4 3 4 4 5 5 5 5 5 5 5 6 6 7 8 10 10 9 8 6 5 5 4 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 4 5 5 4 4 4 3 4 5 5 6 7 8 9 10 13 16 16 15 13 12 11 11 9 8 6 6 6 6 7 7 6 5 5 5 6 7 8 9 9 8 7 7 7 6 5 4 4 5 5 6 7 11 12 8 5 3 4 5 5 13 12 8 3 1 3 3 3 5 3 1 -1 1 7 11 11 10 9 6 4 2 2 4 2 1 3 6 5 1 2 5 6 4 5 9 12 7 1 1 3 6 6 8 9 6 4 3 2 3 7 10 8 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 3 2 2 2 2 2 2 3 3 3 3 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 7 7 6 4 2 2 1 1 2 4 5 7 9 6 3 1 -0 -0 -0 -2 -3 -1 3 4 5 4 3 2 3 4 3 3 2 1 0 1 1 2 3 4 5 4 5 7 8 9 8 6 4 6 7 7 7 8 10 10 8 7 7 7 5 1 1 4 4 6 9 10 9 7 6 6 5 4 4 5 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 5 6 7 9 9 10 11 9 5 4 5 5 4 3 4 6 5 5 4 5 5 5 5 4 4 5 5 5 5 4 4 5 7 11 13 12 8 5 4 3 3 3 4 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 3 3 3 3 3 3 3 2 2 2 3 6 10 13 11 8 6 6 5 4 4 3 3 4 6 6 7 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 8 10 10 10 8 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 3 4 5 5 6 7 7 8 10 13 16 16 13 11 10 10 9 8 7 7 6 6 6 6 6 6 5 5 6 8 9 10 10 9 8 7 6 6 5 5 4 4 5 5 5 8 12 11 6 3 4 4 3 8 12 12 8 1 1 3 2 5 10 7 4 0 -0 6 10 10 8 8 7 5 2 3 5 2 -1 1 5 3 1 3 5 5 3 3 7 10 8 5 5 4 5 8 10 8 6 5 3 1 3 8 11 7 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 4 3 4 5 5 5 5 5 5 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 5 5 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 5 5 4 4 4 5 6 6 7 7 7 7 6 6 6 5 5 4 3 3 3 2 2 5 9 10 6 3 3 3 3 2 0 -2 -2 0 2 3 3 3 3 5 5 5 6 7 6 6 6 6 6 6 5 4 4 3 4 5 6 7 6 7 9 9 9 9 11 12 11 8 7 7 7 5 2 4 4 5 7 10 11 9 7 6 5 4 4 4 4 3 3 3 2 2 2 2 3 4 4 5 4 4 3 3 3 2 4 6 7 8 10 11 12 8 5 5 6 4 4 5 5 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 8 11 11 9 7 4 3 4 4 4 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 2 2 2 3 3 3 3 2 2 2 2 4 7 9 9 8 7 7 7 7 6 5 3 3 3 4 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 6 7 9 9 8 7 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 5 6 7 7 7 7 9 13 15 13 9 6 6 7 8 7 7 7 6 5 6 6 6 5 5 6 8 10 11 11 10 9 8 7 6 6 5 4 4 5 6 6 7 9 11 10 4 2 4 6 4 5 4 8 7 1 2 4 4 8 12 9 6 1 -0 5 11 11 8 8 7 3 2 5 7 3 -1 1 4 4 4 5 4 3 2 4 7 8 6 8 9 6 6 10 11 8 5 5 4 2 2 6 10 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 6 6 5 5 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 5 6 6 6 6 6 5 5 5 4 4 5 8 11 11 8 5 4 2 2 2 -1 -2 -1 -0 1 3 2 2 3 6 6 7 9 8 7 7 6 5 4 4 3 2 2 2 3 5 7 9 8 10 11 11 9 9 10 9 7 6 5 6 5 5 5 5 5 6 8 10 10 9 7 6 5 3 3 3 3 3 2 2 2 2 2 3 3 5 5 5 5 3 3 2 1 1 4 6 7 8 10 12 11 8 8 7 5 5 5 5 6 7 7 6 5 6 5 5 5 6 6 6 7 6 5 5 6 7 9 12 12 9 6 5 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 2 2 3 3 3 3 3 2 2 1 2 3 4 6 7 6 6 6 6 7 8 8 6 4 4 4 4 4 5 6 6 6 7 6 6 5 5 6 6 6 6 5 4 5 5 6 6 7 7 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 5 6 6 7 8 8 7 8 11 13 10 6 4 4 5 6 7 6 7 7 6 6 6 5 5 5 7 9 12 13 12 10 9 8 7 6 5 4 4 5 6 8 9 9 10 11 10 5 2 5 7 5 3 2 5 4 2 5 6 5 8 9 8 7 3 2 6 10 10 8 8 6 2 2 5 8 4 -0 3 7 7 7 6 4 2 2 3 5 5 5 9 10 8 9 12 10 7 5 5 4 3 2 4 8 8 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 3 3 3 4 5 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 3 3 4 4 5 5 6 6 5 5 5 5 6 6 5 6 6 6 6 6 6 6 8 11 11 8 6 3 1 -0 -1 0 1 2 1 0 -2 -1 -0 1 2 3 5 7 6 6 6 5 5 4 5 3 2 3 3 5 6 8 8 8 9 7 6 6 6 6 6 5 5 4 5 5 6 6 5 5 7 8 9 10 9 8 5 3 3 3 3 3 2 2 2 2 2 3 3 4 5 6 5 4 3 3 2 -0 1 4 5 6 9 12 13 12 11 8 7 5 6 6 7 7 7 7 7 6 6 5 5 6 6 7 7 7 6 5 5 7 9 11 12 11 8 7 5 5 5 5 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 3 3 3 3 3 4 3 3 3 2 2 2 3 3 4 4 4 4 4 4 5 6 8 8 7 6 6 5 5 5 5 5 5 6 6 6 5 5 6 6 7 7 6 5 4 4 4 4 5 5 4 2 2 3 4 4 5 4 4 3 3 4 4 4 4 4 4 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 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 4 4 5 6 7 9 9 8 7 10 13 12 7 4 3 3 4 6 6 6 6 6 6 5 5 6 6 7 10 12 14 13 11 10 9 8 6 5 4 5 6 6 7 9 11 10 9 8 8 7 6 6 5 5 5 5 4 1 4 10 10 5 3 4 6 6 3 3 7 12 11 8 8 5 0 -0 5 8 4 1 5 10 10 9 8 5 3 1 1 3 2 2 7 9 9 12 12 9 6 5 5 4 3 2 4 9 9 6 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 6 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 5 6 5 5 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 5 5 5 6 5 5 4 4 4 5 5 5 5 5 5 6 7 7 6 8 11 12 10 8 5 3 2 1 1 2 1 -0 -1 -1 -2 -0 -0 1 3 5 6 5 6 5 5 5 5 4 4 4 4 5 7 9 8 6 5 3 4 3 4 4 5 5 4 3 3 4 5 6 6 5 6 6 7 9 10 8 6 4 3 2 2 2 2 2 2 3 2 3 3 4 4 5 5 4 4 3 5 2 0 3 4 5 7 11 13 15 14 11 8 7 7 7 6 7 7 8 8 6 5 5 5 5 6 7 8 8 7 6 6 7 8 10 10 10 10 8 7 6 5 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 3 3 3 3 5 6 7 7 8 7 7 6 6 5 5 5 5 5 4 4 5 6 7 8 8 7 6 5 5 5 5 5 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 4 6 6 5 5 6 7 8 11 10 8 9 18 22 12 3 1 0 2 5 7 7 6 5 5 4 4 5 6 7 9 12 14 14 13 11 10 9 7 6 5 4 5 7 7 7 8 11 12 9 5 5 5 7 5 1 4 5 5 4 1 4 11 11 5 1 1 4 4 3 2 8 14 12 9 8 3 -2 -1 4 5 1 1 6 10 9 9 10 8 4 2 2 4 3 1 4 8 11 13 10 8 6 5 5 4 3 2 4 10 11 7 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 4 4 4 5 5 4 5 5 5 5 6 7 7 7 9 9 9 10 11 10 8 7 5 4 3 3 3 2 2 3 3 4 5 6 5 5 5 6 5 5 5 6 7 7 5 6 9 9 7 4 3 3 2 2 2 3 3 4 3 3 3 3 4 5 6 6 5 5 6 8 9 8 7 6 4 3 2 2 1 2 3 3 3 3 3 3 4 4 4 4 3 3 4 3 2 3 4 4 6 8 13 16 17 13 9 8 8 7 6 6 6 8 8 7 6 5 5 5 6 7 8 8 8 7 7 7 7 8 7 8 8 9 9 8 7 7 6 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 3 4 4 5 4 3 2 2 3 5 6 6 7 7 7 6 5 5 5 5 4 4 4 3 4 5 7 9 9 8 8 8 7 6 5 5 5 5 4 3 3 2 3 4 4 4 4 4 5 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 5 6 6 6 6 7 9 11 11 10 13 26 25 3 -1 0 -5 -3 4 9 9 6 5 4 3 3 5 7 8 10 12 14 14 12 11 9 8 7 4 3 3 6 8 7 6 7 10 14 12 7 5 5 4 3 2 3 5 5 3 1 3 6 7 5 4 4 3 3 6 5 8 15 14 11 8 3 -2 -1 4 4 -0 -0 5 7 5 6 10 9 4 3 4 7 5 3 2 6 13 14 9 7 6 5 4 5 4 3 6 12 11 7 5 4 4 4 4 4 5 5 4 4 5 5 4 4 4 4 4 5 5 6 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 6 5 5 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 5 4 4 5 4 5 4 5 5 5 6 6 6 6 8 10 13 12 11 11 9 7 8 6 5 4 5 5 7 7 8 9 8 8 9 7 8 6 6 9 8 6 6 7 6 4 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 5 6 6 5 6 7 7 8 7 7 6 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 2 3 3 2 3 3 4 4 5 6 10 16 18 16 11 8 8 7 6 4 5 8 8 7 6 5 5 5 6 7 8 8 8 8 7 7 6 5 6 8 8 9 10 11 11 10 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 nan
nan nan 3 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 4 5 6 6 5 3 2 2 3 3 4 5 5 6 6 5 5 5 5 5 4 3 3 3 3 5 7 8 9 10 10 10 9 8 7 7 7 7 6 4 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 8 10 12 13 13 16 22 13 -5 -2 2 -9 -9 3 10 11 8 5 4 3 4 5 7 8 10 11 12 12 11 10 9 8 5 3 2 4 6 8 8 7 6 9 12 13 10 6 6 4 4 5 3 5 7 3 1 0 1 3 6 10 9 4 3 8 10 10 15 17 13 9 6 2 1 4 4 1 -1 3 5 4 5 8 7 3 4 6 6 6 5 2 6 17 17 11 6 2 2 4 7 8 6 8 12 11 7 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 5 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 4 4 4 3 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 5 6 7 8 9 10 9 9 9 7 9 11 11 8 9 9 9 10 10 12 11 11 13 13 12 10 7 7 6 5 5 5 4 3 3 3 2 2 3 3 3 3 4 4 4 4 4 3 4 4 5 6 6 6 6 6 8 8 7 7 7 6 5 4 3 2 3 3 2 2 2 2 2 2 2 2 3 3 4 4 3 4 4 5 6 8 13 18 17 13 8 7 7 5 4 6 8 9 7 6 6 6 5 5 6 7 8 9 8 7 6 5 5 5 7 8 9 11 14 15 12 10 10 10 8 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 6 7 7 6 4 2 2 2 3 4 4 4 4 4 5 6 6 6 5 4 3 3 2 3 4 5 7 8 9 11 11 11 9 8 9 9 8 6 5 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 8 11 13 14 15 15 12 3 -8 -3 1 -9 -9 2 10 12 11 7 4 4 5 6 7 8 9 10 10 10 10 10 9 6 5 3 3 5 6 7 8 8 8 6 7 10 8 3 7 9 7 8 4 4 7 4 3 3 1 2 7 13 13 9 5 7 10 12 14 15 14 12 11 7 4 3 3 2 1 4 4 2 4 6 4 3 6 7 4 3 5 2 7 19 18 11 4 -2 -3 2 9 16 11 8 10 10 8 7 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 3 4 3 3 3 3 2 2 2 2 3 4 4 5 5 5 5 5 5 5 4 5 5 4 4 2 2 3 3 4 5 6 6 6 6 5 5 4 4 6 8 12 12 12 11 11 10 8 9 10 9 11 12 11 10 8 6 4 3 4 5 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 6 4 3 3 3 3 2 1 1 1 1 2 2 3 4 5 4 4 4 4 5 6 7 10 16 18 14 8 6 6 4 4 6 9 9 8 6 6 5 5 5 5 6 8 8 9 8 6 5 5 5 6 7 9 11 14 15 12 10 9 11 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 3 3 2 2 3 2 2 2 2 3 4 5 5 5 4 4 3 3 4 5 7 8 8 6 4 3 3 3 3 3 3 3 3 4 5 6 6 6 6 5 3 2 2 2 3 4 5 7 9 10 11 9 9 9 9 8 8 6 5 4 3 3 4 4 4 5 4 5 5 4 5 4 4 5 5 5 6 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 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 5 5 6 6 6 6 7 7 7 8 10 13 17 17 13 6 -3 -10 -6 -3 -7 -5 4 10 12 12 9 6 5 6 6 6 7 9 9 9 9 10 10 8 6 4 3 4 5 6 7 8 8 8 6 10 13 5 0 6 11 10 12 5 -0 4 5 5 5 2 2 6 11 14 14 11 7 9 12 12 11 12 12 11 8 6 4 3 2 5 7 3 0 2 4 3 3 7 9 5 3 5 5 9 18 17 10 3 -3 -6 -0 11 20 15 10 11 9 8 7 5 5 4 4 4 4 5 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 3 4 3 3 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 3 3 4 4 5 5 5 5 5 4 4 5 5 5 4 3 2 3 4 5 4 4 4 5 5 5 4 3 3 3 3 3 5 8 9 9 7 6 5 5 5 6 7 8 8 9 8 6 4 3 3 5 4 3 3 3 3 2 3 4 5 6 6 6 5 5 5 4 4 4 3 4 6 6 6 6 7 7 7 6 7 7 7 7 5 4 3 3 2 1 -0 -0 0 1 2 3 4 4 5 4 4 4 5 5 5 6 9 13 15 14 10 7 5 4 4 6 9 10 8 7 6 5 5 4 5 6 6 8 8 9 9 7 7 6 5 7 8 11 13 12 10 8 7 9 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 5 4 3 3 3 3 3 3 2 3 3 3 4 5 5 4 4 4 3 4 4 6 8 9 8 6 4 4 4 4 4 3 2 3 3 4 5 6 7 7 7 5 4 2 1 2 3 4 5 6 8 9 9 9 9 9 8 7 6 6 5 4 4 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 10 15 22 22 17 8 -4 -11 -11 -8 -5 -0 7 10 12 12 11 8 6 6 6 6 7 8 9 10 10 10 9 8 6 5 4 4 5 5 4 5 9 10 5 8 10 6 3 5 8 9 13 8 -3 -0 5 7 5 3 1 3 8 13 16 16 12 11 12 10 7 8 8 7 4 6 5 2 4 7 7 6 6 2 4 4 2 5 9 10 9 12 13 10 15 19 12 4 -3 -6 2 14 21 13 10 13 11 8 7 6 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 5 5 4 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 4 4 4 5 5 5 5 5 4 4 5 5 5 3 2 3 4 5 5 4 4 4 5 4 5 5 4 3 2 2 2 3 4 5 5 5 5 4 5 6 6 8 9 9 8 6 5 3 4 5 4 3 3 3 3 3 4 4 5 6 6 6 6 6 5 4 4 3 3 4 5 6 6 6 6 6 7 7 7 7 6 6 6 5 3 2 1 -0 -1 -0 1 3 3 4 4 4 5 4 4 4 5 5 5 6 8 10 13 13 11 8 6 5 4 5 7 9 8 7 6 6 5 4 4 4 5 7 8 9 9 9 8 7 6 6 7 9 10 9 7 5 5 7 14 21 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 4 4 3 3 3 3 3 4 4 4 5 5 5 4 4 3 3 5 6 7 8 8 7 5 4 4 4 4 4 3 2 2 3 3 5 6 6 7 7 6 4 2 1 1 2 3 5 7 8 8 8 9 9 8 7 6 5 5 4 4 3 3 3 4 5 5 6 6 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 6 7 9 12 20 28 28 22 15 2 -10 -13 -9 -0 5 9 10 10 11 11 9 7 6 6 6 6 8 9 10 11 10 9 7 5 5 5 5 5 4 2 2 8 15 11 1 0 6 8 6 6 7 10 9 -0 -2 2 5 4 3 2 4 9 14 17 17 16 15 14 10 5 4 4 2 0 3 4 2 4 5 3 12 15 5 4 4 1 3 6 10 15 21 20 13 18 25 17 4 -4 -5 4 16 18 11 10 15 12 8 8 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 3 4 4 5 4 4 3 3 4 4 4 4 4 4 4 4 5 6 5 5 5 4 4 3 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 5 5 3 3 3 4 5 5 4 4 4 5 5 4 4 4 4 3 2 2 2 3 4 6 7 7 5 4 5 7 8 9 9 8 6 5 3 4 4 4 4 3 4 4 5 5 5 5 6 6 6 7 6 5 4 3 3 3 3 4 6 6 7 7 6 6 7 7 7 7 7 6 5 3 2 1 -0 -1 1 4 5 5 5 4 5 5 4 4 4 5 5 5 5 6 9 12 13 13 10 7 5 4 4 5 7 8 7 7 6 6 4 3 3 4 5 6 7 8 8 8 6 6 6 6 7 7 8 8 8 7 8 17 29 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 6 5 4 4 4 5 6 6 7 7 7 5 4 4 4 5 5 4 3 2 2 3 4 4 6 7 8 8 7 5 3 2 2 2 4 5 7 7 7 8 8 8 6 5 5 4 3 3 3 3 4 4 5 6 6 6 7 7 7 7 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 5 4 4 4 4 5 5 4 4 5 5 4 4 4 4 5 5 6 6 7 6 6 7 7 7 8 12 18 24 27 23 19 13 5 -7 -11 -4 4 8 9 9 9 10 10 9 8 7 6 7 6 7 9 10 11 10 8 5 5 6 5 5 5 6 6 4 -0 0 6 6 1 4 6 5 7 7 6 4 2 0 3 3 0 0 2 5 13 19 20 18 17 16 15 11 6 3 1 -1 -1 -0 1 2 2 -0 -0 14 18 9 4 2 2 2 3 7 15 20 17 17 29 32 19 5 -4 -4 5 14 14 10 12 17 13 8 8 7 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 5 4 4 4 4 4 5 5 5 6 6 5 4 4 3 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 5 4 4 4 4 4 5 5 4 4 4 3 3 2 2 3 3 5 7 8 7 5 5 6 8 9 9 8 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 5 6 6 6 5 4 2 1 1 3 4 5 7 7 7 5 5 6 6 8 9 9 7 6 5 4 3 2 1 3 6 7 6 5 5 4 4 4 3 4 5 5 6 6 6 7 10 13 14 11 9 7 5 4 4 6 6 7 7 6 6 4 4 4 3 3 4 5 6 6 6 6 5 6 7 6 7 8 10 12 12 12 18 25 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 4 4 4 4 4 4 4 4 5 7 8 8 6 5 4 4 5 6 6 6 7 7 5 4 3 4 4 4 4 3 3 3 3 3 4 5 5 6 7 8 8 6 4 3 2 2 4 5 6 7 7 7 7 7 6 4 3 2 2 2 4 4 5 5 5 5 6 6 7 7 6 6 6 6 5 5 5 5 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 5 4 4 5 5 5 4 5 5 5 5 4 4 4 5 5 6 7 6 6 6 7 7 8 13 20 23 22 16 11 11 7 3 -6 -6 0 6 8 8 8 8 8 8 8 8 8 8 7 6 7 9 10 10 9 6 4 4 5 5 4 4 5 8 8 1 -6 -1 5 3 3 3 4 9 11 6 2 2 4 6 1 -3 -2 -1 5 15 22 22 18 14 13 14 13 8 4 2 1 2 0 0 2 2 -2 -1 11 15 9 4 2 2 1 -1 2 9 12 13 25 38 33 18 5 -2 -1 7 12 11 9 11 16 13 7 7 6 5 4 4 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 3 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 5 5 4 4 3 3 4 5 5 5 4 4 5 4 4 4 5 5 5 6 5 5 4 4 3 3 3 3 4 3 4 4 4 4 4 4 5 5 5 5 5 6 6 5 4 3 3 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 4 6 8 9 8 6 6 7 8 8 8 6 5 4 5 5 4 5 5 5 6 5 5 6 6 6 6 6 5 5 5 6 4 -2 -1 3 3 5 7 8 7 6 5 5 5 6 7 9 9 7 6 6 7 7 6 7 9 8 6 5 4 4 3 3 3 4 4 5 6 6 6 6 8 11 14 13 12 10 7 4 4 4 4 5 6 6 6 5 4 4 4 3 4 5 4 4 5 5 4 5 6 7 8 8 10 13 15 15 15 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 5 4 5 5 5 5 4 4 4 3 3 2 3 5 6 8 9 7 6 4 4 4 5 6 6 6 7 7 6 4 3 3 3 3 3 3 3 3 3 3 4 4 5 6 7 8 8 7 5 3 2 2 4 5 5 6 6 6 6 5 4 3 2 1 2 3 4 5 5 4 4 4 5 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 5 6 6 6 7 7 6 6 8 9 14 22 26 22 12 5 5 6 4 -1 -4 -2 4 6 7 7 7 8 8 8 8 8 9 9 9 8 7 9 10 9 6 3 2 4 4 4 3 3 4 5 5 7 9 4 1 1 2 3 6 11 14 11 7 5 6 7 2 -1 0 1 5 15 24 24 15 7 9 16 16 11 7 5 5 6 4 3 6 5 -1 -2 5 9 7 4 -0 -2 -0 -4 -5 2 8 13 29 39 30 14 3 -1 3 8 10 10 9 10 15 13 8 7 6 4 5 5 5 5 5 5 5 4 4 5 5 4 4 3 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 5 5 4 4 3 3 3 4 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 4 4 4 3 3 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 5 4 3 3 4 5 5 4 5 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 6 9 11 9 7 7 7 8 8 7 6 6 5 5 5 5 4 5 5 6 5 4 5 5 6 6 6 5 4 6 8 6 0 0 3 4 5 7 8 8 7 6 5 5 5 5 7 9 8 6 7 9 10 9 10 11 9 6 4 3 3 3 2 3 3 4 5 6 6 6 5 6 9 11 13 13 12 9 6 4 3 3 3 4 5 6 6 5 5 4 5 4 5 5 4 4 4 4 3 4 5 7 9 10 13 15 15 14 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 5 5 4 4 3 2 1 1 2 4 7 7 7 6 5 4 4 5 5 6 6 6 8 8 6 4 3 3 2 3 3 3 3 4 4 4 4 4 5 5 6 7 8 8 6 4 2 2 3 3 4 5 5 6 5 4 4 3 1 2 2 3 4 3 3 3 3 4 5 5 5 4 4 4 4 4 4 5 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 7 7 6 8 11 14 20 26 23 13 4 1 4 4 2 -3 -1 2 5 5 5 6 6 8 8 8 8 9 10 11 11 9 8 9 9 6 4 2 2 3 3 3 5 6 4 7 7 3 1 1 1 1 2 5 8 12 14 13 10 8 7 5 -1 -2 3 6 6 11 22 26 14 3 10 22 21 13 10 9 10 9 5 4 9 9 1 -3 2 8 8 5 -2 -8 -0 2 -2 1 5 13 27 33 24 12 4 2 4 7 8 8 8 11 14 13 8 6 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 3 2 2 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 2 3 3 4 5 5 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 9 11 9 7 6 6 6 6 6 6 5 5 5 5 4 5 6 6 5 4 3 3 3 4 6 7 7 7 9 11 7 3 3 3 3 4 6 8 9 8 7 6 6 6 5 6 7 10 6 4 8 9 9 9 11 10 6 3 3 2 1 2 3 4 5 5 6 6 6 5 5 6 8 12 12 12 10 7 4 3 3 2 3 3 5 5 6 5 5 4 4 5 6 5 4 4 3 2 3 5 7 9 10 13 16 17 14 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 7 7 6 6 6 5 4 3 3 2 1 1 2 3 5 6 6 5 4 4 5 6 6 6 7 8 9 8 6 3 3 3 3 3 3 3 4 3 4 5 5 5 5 5 6 7 8 8 6 3 1 1 2 3 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 3 3 4 3 3 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 7 8 8 6 8 10 13 17 21 21 14 5 1 3 4 3 2 1 2 4 4 4 4 5 6 7 9 9 9 10 11 12 12 10 9 8 7 4 3 2 2 3 3 1 6 9 4 9 14 5 -5 -4 0 2 4 7 10 12 11 9 7 7 6 2 -4 -6 2 9 6 4 16 27 17 4 12 24 22 14 10 9 9 8 3 -0 6 10 4 -3 1 10 14 10 -0 -9 -2 8 6 5 6 16 26 26 18 11 5 3 4 5 7 7 7 11 15 11 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 4 4 4 3 2 2 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 4 4 4 3 3 2 2 3 4 5 6 6 5 4 4 4 5 4 5 5 4 4 4 4 4 6 7 7 6 5 4 4 4 4 4 5 5 5 4 5 6 6 6 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 4 4 4 3 3 4 5 6 9 10 9 7 5 4 4 4 4 5 5 5 4 5 5 6 7 7 5 4 2 2 2 3 4 7 10 11 10 11 9 5 4 4 3 4 6 7 8 8 7 7 6 6 6 6 7 10 8 2 5 7 7 6 8 9 6 3 2 1 1 2 3 4 4 6 6 6 6 6 4 3 6 10 12 12 11 9 6 4 3 2 2 2 3 4 5 5 5 4 4 5 7 7 6 5 4 3 4 5 8 9 9 11 15 17 14 8 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 7 7 7 7 6 5 4 3 3 4 4 3 1 0 1 3 5 5 4 3 4 5 6 7 7 7 7 8 9 8 5 4 4 3 3 3 3 3 3 4 5 6 6 6 6 6 6 8 9 9 5 2 1 1 1 2 3 3 3 3 4 4 3 3 2 0 -0 0 0 1 1 1 2 3 3 3 3 4 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 5 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 9 9 7 9 12 13 15 17 15 8 1 1 4 4 2 3 4 3 4 4 4 4 4 6 7 9 10 11 12 13 13 13 11 9 8 5 3 2 1 1 2 3 -0 1 3 1 5 10 7 2 1 2 4 7 8 9 10 7 2 1 4 7 5 -2 -5 1 11 7 -2 10 25 20 8 11 20 19 12 7 4 4 6 3 -2 1 7 5 -0 2 12 16 13 4 -3 -4 7 15 16 13 19 24 20 13 8 4 1 2 4 7 7 8 11 16 11 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 3 3 2 2 3 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 4 6 8 9 7 6 5 5 5 5 5 5 5 4 4 5 6 6 5 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 3 4 5 6 6 8 9 8 6 3 1 1 1 2 3 4 4 4 4 6 7 7 7 5 3 2 2 2 2 3 7 11 13 10 7 8 7 6 5 4 4 5 6 7 7 7 6 6 5 6 6 7 8 8 5 5 6 6 6 6 6 6 4 2 2 2 3 4 4 5 6 6 6 6 6 5 3 4 7 11 12 12 11 10 6 4 4 3 3 3 3 3 4 4 3 3 4 6 6 7 7 6 5 5 6 8 7 7 9 12 13 12 10 7 6 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 3 3 5 7 6 4 1 1 2 4 5 5 3 3 5 7 8 8 7 7 7 8 9 8 6 5 4 3 3 2 2 3 3 5 6 7 7 7 7 7 7 8 10 8 5 2 2 1 1 2 2 2 3 4 4 3 3 2 1 -0 -1 -0 -0 0 1 1 2 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 10 10 8 9 11 10 12 15 14 7 2 0 2 4 4 3 3 3 4 4 4 4 5 7 8 9 10 13 13 15 15 14 11 8 6 5 4 2 1 -1 1 2 -0 -4 -5 -1 5 6 8 9 6 4 5 7 6 8 8 3 -2 -2 2 10 11 4 -3 1 11 9 0 8 21 20 12 12 16 16 10 4 1 3 5 4 1 2 6 5 5 7 10 11 10 7 2 -4 3 18 25 21 19 16 10 6 5 1 -0 3 6 7 8 9 11 14 10 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 4 3 2 3 5 6 6 6 5 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 3 2 2 2 4 6 6 6 5 4 4 3 3 3 3 3 3 4 4 4 4 4 2 1 1 3 5 7 7 6 5 5 5 5 4 4 4 3 3 4 5 5 4 4 4 4 4 5 5 6 6 4 4 4 5 5 5 4 5 6 5 4 4 4 4 4 4 4 4 4 5 6 6 7 7 5 3 1 -1 -2 -3 -2 -1 2 3 4 4 5 6 6 6 4 3 3 4 4 3 4 7 11 12 9 5 4 6 6 6 5 5 5 4 5 5 5 5 4 4 4 5 6 6 7 7 7 7 7 6 5 6 6 5 4 4 4 4 4 5 5 6 6 5 6 6 5 4 3 5 7 9 11 13 13 11 8 7 5 4 4 3 2 2 3 3 3 3 4 4 6 8 7 7 7 8 8 6 5 7 8 9 9 9 9 8 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 3 3 2 2 2 3 5 7 8 6 4 2 2 4 5 5 3 3 4 6 8 8 7 7 6 6 8 9 7 5 3 2 2 2 2 2 3 4 5 6 7 7 8 8 8 8 8 10 9 6 4 3 1 1 2 2 2 3 3 3 3 3 2 1 1 0 0 1 1 1 0 1 2 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 3 3 3 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 10 11 9 8 9 9 12 16 15 11 5 -0 -0 3 3 3 3 3 4 4 4 5 6 8 9 10 11 13 15 17 17 14 9 6 7 7 5 3 0 -1 1 3 0 -4 -3 2 5 5 7 8 5 5 8 5 1 5 5 -1 -2 -0 1 6 11 7 -1 0 7 9 9 13 19 20 17 17 17 13 5 2 4 6 5 2 5 10 8 5 9 11 8 7 6 5 3 -4 -5 11 26 24 16 6 -2 -1 3 0 3 9 9 8 9 9 10 14 11 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 2 2 4 6 7 7 7 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 6 6 6 5 4 3 3 2 3 3 3 3 4 4 4 4 4 4 3 2 2 2 2 3 4 4 4 3 3 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 5 6 6 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 5 5 6 6 6 5 5 2 1 -1 -2 -4 -4 -5 -3 1 4 5 5 4 5 4 4 4 4 5 6 6 5 6 8 10 10 9 5 3 4 6 6 5 5 5 4 3 3 3 3 3 4 4 4 4 5 6 7 7 8 7 7 7 6 6 6 5 5 5 4 4 5 6 6 6 6 5 6 6 5 4 4 4 5 6 10 13 14 12 10 9 7 5 4 1 1 3 3 3 3 3 3 5 6 7 8 8 9 7 5 4 4 6 6 6 7 9 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 2 2 2 2 2 3 4 5 6 6 6 5 4 4 4 5 4 3 3 4 6 8 8 7 7 6 7 8 8 6 3 2 1 2 2 2 2 3 4 5 6 6 7 8 9 9 9 9 10 9 7 4 1 1 2 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 2 3 4 4 3 3 3 4 4 4 4 4 4 4 3 4 3 3 2 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 8 9 10 11 11 8 8 8 9 12 16 16 14 6 -0 -1 2 2 2 3 3 3 4 4 6 7 8 9 11 12 14 16 19 18 14 9 6 9 9 7 3 -0 -1 3 6 5 5 4 5 4 0 3 3 5 8 12 3 -2 3 1 -1 3 5 0 -1 5 5 1 -0 3 8 15 19 18 15 14 15 15 8 -0 0 7 8 4 1 9 15 10 7 11 10 7 8 6 3 4 1 -4 11 29 22 11 -1 -8 -1 4 4 9 14 12 9 10 9 9 14 13 6 5 6 6 6 5 5 5 5 5 5 5 5 5 5 3 2 2 5 7 8 7 7 6 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 5 6 5 4 3 2 2 2 3 4 4 5 5 5 4 3 3 4 4 4 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 5 5 6 6 5 5 4 3 3 4 5 5 6 6 7 7 6 5 3 2 -0 -2 -2 -3 -3 -3 -1 4 7 5 5 4 4 4 4 4 5 7 8 7 7 6 8 10 10 10 7 5 5 6 6 5 5 4 4 2 2 2 2 2 3 4 4 4 4 5 6 7 7 8 8 8 7 7 6 6 5 5 5 5 5 6 7 7 6 6 6 6 6 6 5 3 3 4 6 10 13 14 14 13 11 8 5 1 1 2 3 3 3 2 3 4 4 6 8 9 9 6 3 2 2 3 4 4 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 2 2 2 2 3 2 2 3 4 6 9 8 6 4 5 4 3 2 3 4 5 6 7 6 5 5 7 7 7 5 3 2 1 2 3 3 3 4 4 5 4 5 7 10 12 11 10 10 9 7 5 3 3 3 4 4 3 3 3 3 3 3 3 4 4 3 3 2 2 1 0 1 1 2 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 8 12 11 10 8 7 8 9 9 11 13 14 13 7 1 1 2 2 2 3 3 3 4 5 7 9 9 10 12 13 15 17 19 18 13 9 7 8 8 6 3 1 0 3 6 10 13 8 3 0 -1 -2 -0 8 16 15 2 -1 1 -1 3 11 10 2 1 4 2 2 2 3 8 14 15 13 9 7 9 10 3 -2 4 9 8 2 2 7 11 9 7 8 8 9 11 8 2 8 16 10 21 31 20 7 -5 -7 5 10 11 15 15 12 9 9 9 9 14 14 7 5 5 5 5 6 5 5 5 5 5 5 5 6 5 3 2 3 6 7 8 7 6 6 5 4 5 4 4 4 4 5 5 5 4 4 3 4 4 4 4 4 4 4 4 3 4 5 4 4 3 3 2 3 4 4 5 4 3 2 1 2 3 4 5 6 6 6 5 4 3 3 4 4 4 4 4 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 4 5 5 5 6 6 6 6 6 5 5 5 4 3 3 4 6 7 7 7 8 7 6 5 3 3 1 1 0 0 -0 0 6 11 9 5 5 4 4 4 5 5 6 7 8 8 6 6 7 10 11 10 10 8 6 6 5 5 5 5 4 3 1 2 2 2 2 3 4 4 4 4 5 6 7 7 8 8 7 7 6 6 5 5 5 4 5 6 7 7 6 6 6 6 6 7 5 3 2 2 4 7 9 13 15 17 16 13 8 4 1 1 2 2 2 2 2 3 3 5 7 9 8 5 2 0 0 1 2 4 5 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 2 2 2 2 2 2 2 2 3 7 12 14 9 6 5 4 3 2 2 2 3 4 4 4 4 4 5 6 7 6 4 3 2 3 4 5 4 4 4 4 4 4 5 9 12 13 10 9 8 8 7 5 5 5 5 5 4 4 4 4 3 4 4 4 5 5 4 3 2 1 0 0 0 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 2 3 3 3 3 4 4 5 5 6 6 5 5 5 5 5 5 4 5 5 5 6 7 6 6 5 8 12 11 8 7 7 8 9 9 9 11 14 12 7 2 1 2 2 3 3 4 4 4 6 8 10 10 11 12 12 14 17 20 17 11 7 6 5 5 4 3 2 1 0 1 7 12 7 -0 -3 -1 -1 -1 6 15 10 1 2 0 0 9 17 12 5 5 4 4 6 7 6 6 5 5 7 6 5 7 6 1 2 10 12 8 2 -1 -1 2 5 5 4 5 9 12 7 1 10 24 18 25 29 17 4 -7 -3 13 18 17 17 14 11 10 9 9 9 13 13 8 4 5 5 5 6 6 5 5 5 5 5 5 5 4 3 2 4 6 7 7 6 6 6 5 5 5 4 4 4 5 5 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 2 2 3 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 5 5 5 6 6 5 5 4 5 5 6 6 6 6 6 6 6 6 5 4 3 4 5 7 8 8 9 8 8 7 6 5 5 4 3 4 3 3 5 12 14 7 4 4 4 4 5 6 6 6 7 7 7 6 5 6 10 9 7 10 11 8 8 7 6 4 4 4 3 1 1 2 2 3 3 4 4 5 5 4 5 5 6 8 8 8 7 7 6 5 4 4 4 5 6 7 6 6 5 5 6 6 6 6 5 3 2 2 3 6 10 14 19 21 18 12 7 3 2 1 1 2 2 2 3 3 3 5 6 7 5 1 -1 -1 0 1 2 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 5 6 6 6 5 4 4 3 3 3 2 3 3 3 7 14 16 10 6 5 4 3 2 2 2 2 2 2 2 2 3 4 5 5 4 3 2 3 4 6 6 5 4 4 4 4 4 4 6 10 12 9 7 6 7 6 6 6 6 7 6 6 6 6 5 5 5 5 5 6 6 5 3 1 1 -1 -2 -1 0 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 4 5 5 5 5 5 5 5 5 5 4 4 4 5 6 6 6 7 6 5 5 10 12 8 7 8 9 9 9 8 11 14 11 5 1 1 2 3 3 3 4 4 5 7 9 10 11 12 11 11 14 18 18 14 8 5 4 2 4 4 1 3 6 5 2 4 8 5 1 0 2 4 2 4 7 -0 -2 3 3 3 12 18 10 5 4 1 6 11 9 6 -0 -6 -3 4 5 5 9 7 6 11 16 13 6 -2 -8 -6 1 4 4 2 3 8 9 6 4 9 14 13 23 27 15 3 -5 3 21 23 17 15 12 9 9 9 9 8 11 14 9 4 5 5 6 6 5 5 5 5 5 5 5 5 3 3 4 5 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 3 3 2 2 4 6 8 7 5 4 4 3 3 4 5 6 6 5 5 5 4 4 5 4 4 5 4 4 4 5 5 5 5 5 5 6 7 6 6 5 5 5 5 4 4 4 4 5 6 6 6 6 6 5 5 5 6 6 7 7 7 6 6 5 5 5 4 4 5 6 8 8 8 9 9 8 7 7 7 7 6 6 6 5 4 8 15 13 7 4 4 4 5 5 6 6 6 5 6 6 5 5 6 9 8 4 6 10 11 11 10 8 6 4 4 2 2 2 1 2 2 3 4 5 5 5 4 5 5 5 6 7 7 8 7 5 4 4 4 4 5 6 6 6 6 6 5 5 6 6 7 7 5 3 2 2 4 8 12 18 22 21 17 11 7 5 3 2 2 3 2 2 3 3 3 4 5 3 0 -2 -1 -0 -0 1 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 8 9 9 9 9 8 7 6 6 5 5 5 4 5 9 15 13 7 4 4 4 4 4 4 3 2 2 1 2 2 2 2 3 3 2 2 2 3 5 6 6 5 4 4 5 6 4 4 5 7 9 8 5 4 5 4 5 5 5 6 7 7 7 7 7 6 6 6 6 7 7 6 4 2 -0 -2 -3 -2 -1 1 1 2 2 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 2 3 3 4 4 5 5 5 5 5 5 4 4 4 5 4 5 6 6 6 6 5 4 4 8 12 10 9 9 10 10 9 9 11 12 8 3 -0 1 2 3 3 4 4 5 6 7 8 9 11 12 11 11 14 18 16 10 6 4 4 2 5 6 1 1 6 7 7 8 7 5 3 4 8 11 11 11 5 -3 -4 -2 2 4 10 11 5 6 6 4 8 11 9 4 -6 -11 -3 5 7 12 18 12 10 13 12 7 1 -4 -7 -1 7 9 2 -0 4 6 4 4 7 7 1 6 24 28 15 3 -1 8 21 22 15 12 9 8 8 9 8 7 11 15 10 5 5 5 6 6 5 5 5 5 5 5 5 4 3 3 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 2 1 2 5 9 13 13 9 5 4 4 5 6 7 6 5 5 4 3 4 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 7 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 7 6 5 5 5 4 4 5 6 8 9 9 9 9 9 7 7 7 8 9 8 7 6 5 6 9 12 8 4 4 5 5 4 5 6 6 6 5 6 6 6 5 6 7 6 3 4 6 10 13 14 13 10 6 4 3 2 2 1 1 2 3 3 5 5 4 4 4 5 5 5 5 6 7 7 6 5 4 4 3 4 5 5 5 6 6 5 5 6 6 7 7 6 4 3 3 4 5 8 14 19 20 18 14 11 9 6 4 5 4 4 3 3 3 3 3 3 2 -0 -1 0 2 0 1 3 3 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 12 11 11 11 10 9 9 8 7 6 5 10 14 12 7 5 4 4 4 5 5 5 4 4 4 3 3 2 2 3 3 3 3 3 3 4 5 4 4 3 4 5 6 6 5 4 5 7 7 5 3 2 3 3 3 4 4 5 6 6 6 6 6 6 6 7 8 9 9 7 3 -1 -3 -3 -2 -1 -0 0 1 1 1 1 2 2 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 5 4 4 4 6 13 15 10 10 11 9 9 9 9 7 4 1 0 1 3 4 4 4 4 5 6 7 8 9 12 11 11 13 16 18 16 10 6 4 4 3 3 4 5 8 5 4 8 7 3 1 2 7 10 10 9 10 14 13 6 -1 1 4 5 2 1 9 10 8 12 15 11 2 -8 -7 3 9 14 22 24 12 3 6 5 0 -1 -6 -9 4 19 15 0 -2 5 4 -1 2 6 5 0 8 27 31 16 2 1 11 18 18 14 10 6 7 8 7 6 8 12 13 7 5 6 6 6 6 5 5 5 5 5 5 4 4 3 4 5 6 6 6 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 3 2 1 2 5 10 15 16 12 9 7 8 9 9 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 6 5 6 6 6 6 5 6 6 6 6 6 7 8 8 8 8 7 6 5 5 4 4 5 6 8 9 9 9 9 9 8 6 6 7 7 8 9 7 5 6 7 9 8 4 4 4 5 4 4 4 5 5 6 6 6 6 6 6 5 5 4 2 2 3 6 11 16 18 16 11 7 5 3 1 0 1 2 3 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 4 3 3 3 3 3 4 5 5 5 5 6 6 7 7 7 5 4 3 3 4 6 8 11 16 18 16 15 13 10 7 8 8 7 6 5 4 4 3 2 2 1 1 2 2 2 2 1 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 10 10 11 11 11 11 11 10 9 7 6 7 10 12 9 6 4 5 5 6 5 6 6 6 6 6 5 4 3 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 5 5 6 7 6 4 2 1 1 1 2 3 4 4 5 4 4 5 6 6 7 8 10 11 10 7 1 -2 -1 -1 -0 -0 -1 -0 0 0 1 1 1 2 4 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 6 6 5 6 5 4 3 4 4 7 16 17 12 12 11 10 9 9 6 3 1 1 1 2 3 4 4 4 4 5 6 7 8 11 12 11 12 16 19 19 16 11 6 5 4 3 0 0 5 5 1 1 6 3 -2 -1 4 9 10 7 3 4 16 24 17 8 5 4 3 0 2 8 8 6 12 17 10 -1 -4 1 8 13 16 18 13 -0 -8 1 5 1 1 -7 -14 3 24 17 1 -2 2 -4 -7 0 5 5 5 15 30 32 16 1 2 12 17 16 12 8 6 7 8 6 6 8 10 8 6 7 8 7 6 6 6 5 6 6 5 5 4 3 3 4 5 6 6 6 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 4 4 1 0 2 4 8 11 12 12 11 12 13 13 11 8 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 6 7 6 6 5 5 6 5 6 6 6 7 8 9 8 8 7 6 5 4 4 5 6 8 9 9 9 10 9 9 7 6 5 6 7 8 9 8 6 6 7 8 6 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 3 2 1 2 4 8 14 20 20 17 12 8 4 2 0 0 1 2 4 5 5 5 4 3 3 3 4 3 3 4 4 4 5 4 3 2 3 3 3 3 4 4 5 5 6 6 7 7 7 6 4 3 3 3 4 5 7 11 17 20 19 16 11 9 9 10 10 9 8 8 6 5 4 3 2 2 2 1 1 1 1 1 1 2 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 7 8 9 10 11 10 9 8 7 5 5 6 6 5 3 4 5 5 5 6 6 7 8 8 8 8 6 6 6 5 5 4 3 3 3 3 3 3 3 4 4 5 6 6 5 6 7 7 6 4 2 0 0 1 2 3 4 4 4 4 4 4 5 6 7 9 11 13 11 7 2 0 0 1 1 1 -0 -0 0 -0 -0 1 1 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 3 3 3 4 9 18 18 13 13 12 11 10 8 4 1 1 2 3 3 4 4 4 4 4 5 6 7 11 13 11 10 14 18 20 19 13 8 6 4 3 3 0 1 2 -2 1 4 4 -0 -3 1 7 10 9 12 10 3 4 12 14 11 6 2 1 2 4 5 5 4 6 6 1 1 4 6 9 14 15 12 4 -7 -12 0 7 1 2 -1 -10 1 15 9 2 -2 -4 -5 -3 2 5 5 9 19 29 28 14 2 4 14 16 13 10 7 7 7 7 5 5 8 9 8 6 7 11 11 7 6 6 6 6 6 5 5 4 4 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 2 -0 0 2 4 5 5 6 7 9 11 12 12 10 8 6 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 8 8 8 8 7 5 5 4 4 5 8 10 10 9 8 9 9 8 6 5 5 5 7 9 9 7 6 6 6 7 4 2 2 4 4 4 4 4 5 6 6 6 6 6 6 6 6 5 4 2 1 2 3 5 9 17 20 18 15 11 7 4 2 1 2 3 4 5 7 7 7 5 4 3 3 4 3 3 3 4 4 4 3 2 2 3 3 3 3 3 4 4 5 6 7 8 7 7 6 4 4 4 4 4 5 7 13 20 20 16 13 11 10 11 11 11 12 12 11 9 7 5 3 2 1 1 2 2 2 1 1 0 -0 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 6 8 8 9 9 10 10 8 6 4 4 4 4 3 3 3 4 5 6 6 6 6 8 9 9 8 7 8 7 7 6 5 4 3 3 3 3 3 3 4 4 5 5 5 6 6 7 7 7 4 1 1 0 1 2 3 3 3 3 4 4 4 5 6 7 9 12 15 13 7 2 1 2 3 2 1 0 -0 -1 -0 1 1 2 4 5 5 5 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 3 4 6 12 19 19 14 12 13 12 8 3 1 1 2 2 3 4 3 4 4 4 5 5 6 9 13 14 11 12 14 17 20 17 10 6 3 1 1 2 4 6 3 1 5 8 3 -2 -2 3 8 7 11 20 17 7 4 5 6 6 3 1 2 3 3 3 3 3 -1 -6 -4 3 6 6 10 15 18 16 10 1 -6 1 6 2 3 4 -4 -2 4 2 3 1 -4 0 5 7 8 8 12 21 25 21 11 3 6 13 14 11 9 8 7 7 5 3 4 8 8 8 7 8 12 12 7 7 7 6 6 6 6 5 5 3 4 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 3 4 4 5 5 5 5 4 2 -0 0 3 4 3 2 2 3 5 7 7 7 7 6 5 5 5 6 7 7 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 8 8 8 8 7 6 5 5 5 5 7 10 11 11 9 8 8 8 7 6 5 4 5 7 9 8 6 5 5 6 6 4 1 -2 1 4 5 5 4 5 5 6 7 7 6 6 6 5 5 4 3 2 2 2 4 6 10 16 17 16 13 9 6 5 5 5 4 4 6 7 8 9 9 6 5 4 4 4 3 3 3 4 4 4 3 3 4 4 3 3 3 3 3 4 6 7 7 8 7 6 5 4 4 4 4 4 4 9 14 15 14 13 12 11 10 11 14 15 14 14 13 11 10 7 4 2 2 3 3 3 3 2 0 -0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 2 2 3 4 6 7 7 9 10 11 10 9 6 5 4 4 4 3 3 3 4 6 7 6 5 6 7 8 7 7 7 8 8 8 8 7 6 5 4 4 4 4 4 3 4 5 5 5 5 6 8 9 7 4 1 1 1 2 3 3 3 3 3 4 4 5 6 7 7 9 14 16 13 6 2 2 3 3 3 2 -0 -1 -0 1 2 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 5 4 4 4 6 10 16 22 19 13 10 10 10 3 -1 -2 -1 2 3 3 3 3 4 4 5 6 6 7 10 13 12 11 11 13 15 16 13 8 5 3 0 1 2 6 8 4 -2 -0 4 2 -0 1 4 7 7 16 20 8 9 16 9 2 -0 -0 2 5 4 1 1 -1 -2 -2 -4 -1 4 6 9 13 19 23 23 19 9 1 3 5 2 2 4 2 1 4 3 5 6 2 2 5 8 10 11 14 17 19 16 9 4 8 13 13 10 8 8 8 6 3 2 6 8 7 7 8 10 13 13 8 6 7 7 7 6 6 6 5 3 4 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 3 4 4 4 5 5 5 4 2 1 1 3 4 3 2 1 2 3 4 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 8 9 8 8 7 6 5 5 6 7 10 12 13 11 8 7 7 6 6 5 5 4 4 6 7 6 5 5 5 5 5 4 1 0 3 5 5 5 4 4 5 6 7 7 7 6 6 6 5 5 3 1 1 3 4 5 4 7 12 13 12 9 8 7 8 7 7 7 6 7 9 10 10 9 9 8 7 6 4 3 4 4 5 5 5 5 5 6 5 4 3 3 3 4 5 6 7 7 7 7 6 5 5 4 4 4 4 5 8 8 9 10 11 11 8 10 13 15 15 16 16 16 15 13 8 4 3 3 2 3 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 3 2 2 4 5 6 7 8 10 11 11 10 9 7 6 6 5 4 3 3 3 5 6 7 6 5 5 6 5 5 5 6 7 8 9 10 9 7 6 5 5 5 4 4 3 4 3 4 4 5 7 9 9 6 3 2 2 2 3 3 2 3 3 3 4 5 5 6 7 7 11 16 17 11 5 3 4 6 5 3 0 -1 -0 1 2 3 3 4 5 5 4 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 7 7 6 4 3 4 7 11 17 23 25 17 9 6 6 4 -3 -4 -2 -1 2 3 3 3 3 3 5 6 7 7 8 11 11 10 9 10 12 11 10 9 5 2 1 2 3 2 4 7 4 -3 -3 1 3 2 3 5 7 12 14 7 -3 5 11 5 -0 -1 1 4 6 4 0 -2 -4 -4 -1 1 5 7 10 13 17 21 24 25 22 14 6 3 2 0 0 2 5 6 10 9 6 6 4 3 5 7 9 11 9 9 13 15 8 5 9 13 13 10 8 8 8 6 3 3 7 9 6 5 7 10 14 14 8 6 7 7 7 7 6 6 5 4 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 4 4 2 2 2 3 4 3 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 6 7 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 6 6 7 8 9 9 9 8 8 6 6 6 7 8 9 12 13 13 10 7 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 4 4 3 2 3 5 5 5 4 4 4 5 6 6 7 6 6 7 6 5 4 2 1 3 5 5 3 1 5 8 9 8 8 9 9 9 9 10 9 8 8 9 10 12 13 13 11 8 6 5 4 5 6 5 6 6 6 7 6 6 4 3 3 4 4 5 5 6 7 7 6 5 5 4 4 4 3 3 4 5 4 6 8 6 6 8 11 12 14 15 17 18 18 15 11 6 3 2 3 3 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 9 7 4 3 3 4 5 6 7 9 10 9 9 9 8 8 8 8 7 5 4 4 4 5 7 7 6 5 5 4 4 4 5 6 7 8 10 11 10 8 7 8 9 8 6 4 3 3 3 4 5 7 9 9 8 5 3 3 2 2 3 2 2 3 3 4 5 5 6 6 7 8 14 18 15 9 6 7 7 6 3 1 -0 1 1 2 2 3 4 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 7 7 5 3 3 6 12 20 28 33 26 13 4 2 1 -3 -8 -5 -1 1 2 3 2 2 3 4 5 7 8 8 8 10 10 9 9 10 12 9 5 4 2 -4 -2 4 3 2 6 10 8 4 3 5 4 2 2 5 8 11 5 -5 -4 2 0 0 3 5 4 3 2 2 0 -1 -2 -2 2 6 10 11 11 15 16 15 20 24 22 15 9 4 2 3 5 4 0 3 5 7 6 5 4 5 7 9 9 7 4 5 15 18 9 6 10 13 13 11 9 7 8 6 3 5 7 7 6 5 5 10 16 14 8 5 6 8 8 8 7 6 5 4 4 5 5 5 4 4 4 5 5 4 4 4 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 5 4 4 3 3 3 3 4 4 4 3 2 2 3 3 4 4 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 10 9 9 7 6 6 7 8 9 11 13 14 12 10 7 6 6 6 7 7 6 4 4 5 5 5 5 5 5 5 5 5 5 1 0 5 5 5 4 4 4 5 6 6 6 6 6 6 7 6 5 4 2 3 4 5 4 1 2 4 6 7 8 9 11 11 10 10 10 8 7 7 8 11 14 15 13 11 8 6 6 7 8 7 6 5 5 6 7 7 6 4 4 3 3 4 4 5 5 6 6 6 6 5 4 4 3 4 5 4 3 4 6 4 5 6 8 10 12 13 15 16 17 14 10 7 4 4 4 3 3 3 4 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 10 9 7 4 3 3 3 4 6 7 8 8 8 9 8 9 9 10 10 9 8 9 8 7 8 7 6 5 4 4 4 4 5 5 6 7 8 10 10 9 9 11 14 13 9 6 3 3 3 4 5 6 8 9 9 6 4 3 2 3 2 2 3 3 4 4 4 5 5 6 7 8 11 17 18 13 9 8 7 5 3 1 1 1 2 2 2 4 4 4 5 4 4 3 3 3 3 2 3 3 2 2 3 3 3 3 3 4 6 7 8 8 6 4 3 4 11 20 29 36 34 19 6 2 1 -1 -6 -10 -6 -0 2 2 2 2 3 4 4 6 6 7 8 8 9 10 11 11 12 13 10 5 4 -0 -6 -1 7 5 4 9 12 9 7 9 8 4 2 2 5 7 5 -1 -1 9 10 4 5 8 7 3 -1 -1 1 3 5 4 3 5 9 12 12 10 13 12 8 18 28 23 15 9 6 4 7 14 13 -2 -8 -7 1 8 8 8 8 8 6 7 7 4 10 22 21 9 7 10 12 12 11 9 8 7 5 5 6 6 5 5 5 6 12 18 14 6 4 6 8 9 9 7 6 5 5 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 6 7 7 6 6 6 5 5 5 5 5 6 6 6 6 7 8 8 9 9 9 10 10 9 8 7 7 7 8 10 11 13 14 14 12 10 7 6 6 6 7 8 8 6 5 6 5 5 5 5 5 4 5 5 5 3 2 4 5 5 5 5 5 5 5 6 5 6 6 6 7 7 6 5 4 4 5 5 3 1 2 3 5 6 7 9 11 11 10 9 8 7 5 5 6 8 12 13 12 12 11 9 9 10 9 8 6 5 6 6 7 7 7 6 4 4 3 3 3 3 4 5 5 6 7 6 5 5 4 5 5 4 5 4 3 4 4 4 6 8 9 11 12 13 14 13 9 6 6 6 5 4 3 4 6 7 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 9 9 8 6 5 4 4 4 4 6 7 8 8 8 9 9 10 10 11 12 14 17 18 16 12 9 6 5 4 4 4 4 5 5 6 7 7 7 8 8 8 11 15 16 11 7 5 4 3 4 5 6 7 8 7 6 4 3 2 2 3 3 3 3 4 4 5 5 6 6 6 7 10 15 19 16 11 8 6 4 3 1 1 2 2 2 3 3 4 4 5 4 4 4 4 3 2 2 2 3 3 3 3 3 3 3 3 4 7 9 9 8 5 3 3 8 18 27 32 29 21 9 3 5 4 0 -7 -10 -5 0 2 1 1 2 3 4 5 6 6 6 7 7 8 10 14 15 13 14 13 9 6 2 -2 2 8 8 6 6 5 5 7 6 7 6 2 2 4 6 2 0 9 20 19 13 12 9 2 -2 -3 -1 3 8 11 9 7 8 10 11 10 9 10 10 8 18 28 23 13 7 5 6 10 15 12 1 -5 -4 2 10 11 10 7 4 6 11 10 11 19 27 20 10 7 10 12 12 11 10 8 7 5 6 7 6 5 5 6 9 15 17 10 4 4 6 8 9 9 7 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 8 7 8 9 10 12 13 15 14 12 10 8 7 7 6 6 7 8 7 6 6 6 6 5 5 5 5 5 5 5 4 2 3 5 6 6 6 6 6 6 5 5 4 4 5 5 5 6 6 6 5 4 6 7 5 -0 -0 3 3 5 6 8 10 10 9 8 7 5 3 2 3 5 8 9 9 10 12 13 12 12 10 8 6 6 7 8 8 9 8 7 5 4 4 3 2 3 3 3 4 5 6 6 6 6 5 5 5 5 5 5 4 4 4 5 6 6 7 8 10 10 11 11 9 6 7 8 8 7 6 6 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 7 7 8 7 6 5 4 4 4 6 7 7 8 8 8 9 10 10 13 18 21 22 19 15 10 7 5 4 4 4 3 4 5 6 6 6 6 6 6 6 8 10 11 10 8 6 5 4 5 6 7 7 6 5 4 3 2 2 2 3 3 3 3 3 4 5 5 5 5 5 6 8 13 18 17 12 7 5 4 2 2 3 4 3 2 3 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 5 8 11 10 8 5 3 5 12 20 26 26 19 9 4 7 13 9 -0 -8 -8 -3 0 1 1 2 3 4 4 6 6 6 6 6 7 8 13 17 16 13 14 14 11 7 5 3 3 7 9 7 4 4 8 9 8 9 7 1 0 4 6 4 4 10 12 11 11 10 3 -5 -7 -3 1 6 10 12 11 9 9 10 9 8 9 9 10 8 15 21 16 10 7 7 9 12 11 4 3 6 8 10 9 11 10 5 1 12 19 17 17 22 25 18 9 8 10 12 12 11 10 9 7 6 6 6 5 5 5 7 12 16 14 7 4 5 6 8 9 8 7 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 3 4 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 2 3 3 4 4 4 3 3 4 4 5 5 5 6 7 6 6 7 7 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 7 8 9 9 9 9 9 9 8 9 9 8 8 9 10 12 13 14 15 15 14 10 8 7 6 6 5 5 4 4 5 5 5 5 5 5 6 6 5 5 5 5 4 1 -0 4 6 6 6 6 7 7 6 5 3 2 2 3 3 4 5 5 6 6 6 7 8 2 -1 3 3 3 5 7 9 9 8 7 5 4 2 1 1 3 5 6 7 10 12 14 14 13 11 9 7 8 9 10 12 12 10 7 5 5 4 4 3 3 3 2 2 3 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 7 8 9 9 8 7 9 11 12 12 10 10 10 12 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 6 7 7 8 8 7 6 5 4 5 6 7 7 7 8 9 10 10 13 18 17 14 11 8 6 5 5 6 5 4 4 3 4 5 5 5 4 5 5 5 4 4 5 6 7 7 6 6 7 8 8 7 6 5 4 2 2 3 3 3 3 4 3 4 4 4 5 5 5 5 6 7 11 15 16 12 7 5 4 3 4 5 6 6 5 4 4 4 4 4 5 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 6 10 12 11 8 4 3 6 12 17 24 26 18 9 9 15 16 5 -6 -11 -6 -1 0 1 1 3 4 4 5 6 6 6 7 9 9 12 16 17 14 11 11 13 11 8 7 6 5 5 7 9 8 9 10 8 8 6 2 -2 1 6 8 5 3 3 1 1 5 2 -6 -10 -7 -1 3 5 8 9 7 7 10 12 9 8 9 8 7 5 10 13 11 8 9 9 11 12 9 5 5 8 11 9 7 11 10 4 2 9 14 15 17 19 19 14 9 8 10 12 12 10 8 9 8 7 6 5 4 4 5 7 13 17 12 6 4 5 7 8 9 8 7 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 5 4 4 4 5 5 5 4 3 3 3 3 3 3 3 3 3 4 4 5 6 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 5 5 6 6 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 13 14 15 16 16 15 13 9 7 7 6 6 5 4 3 2 4 5 6 5 5 5 6 5 5 4 5 5 5 3 -0 1 6 6 6 7 7 7 7 7 6 4 3 2 2 2 2 3 6 6 7 7 5 3 2 4 4 3 4 5 6 8 8 8 6 4 2 1 1 2 4 5 7 9 11 13 15 14 12 11 9 10 11 14 16 14 9 6 4 4 6 7 6 5 5 5 3 3 3 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 7 8 9 10 13 15 16 15 13 13 13 13 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 5 6 7 8 9 8 6 4 5 5 6 6 7 7 8 9 10 14 17 14 5 1 1 3 5 7 8 7 5 5 4 4 4 4 4 4 5 5 4 3 2 3 4 5 6 7 8 8 8 9 8 7 5 4 3 3 3 3 3 4 4 4 4 4 5 4 4 5 4 5 6 8 12 14 13 9 7 6 5 5 6 7 7 6 5 4 4 4 5 5 5 5 4 4 3 3 4 4 4 5 5 5 4 4 5 9 11 12 10 6 3 3 5 8 13 23 28 23 15 16 16 6 -6 -12 -11 -4 -0 0 1 3 4 5 6 6 6 7 7 11 13 13 13 16 16 13 9 8 10 10 8 7 6 5 4 5 7 5 5 2 -2 -1 -3 -4 -4 3 9 9 3 -2 -2 2 4 2 -5 -12 -12 -5 2 4 4 5 6 5 8 14 16 14 12 10 9 6 3 6 10 7 5 7 8 8 9 10 9 6 8 8 5 5 12 11 5 5 4 7 11 14 16 15 11 8 8 9 11 11 9 8 8 8 7 6 5 4 4 4 6 12 16 10 5 6 6 7 8 9 9 7 6 5 5 4 5 5 4 5 5 5 5 4 5 5 5 5 5 4 4 3 3 3 3 3 3 4 5 6 5 5 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 5 6 6 6 6 7 7 7 8 8 9 9 9 9 8 7 7 7 8 8 9 9 11 13 15 16 15 15 15 14 12 9 7 6 6 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 4 4 5 4 2 2 5 6 6 7 7 7 7 8 9 8 7 6 6 5 4 4 5 6 7 7 4 3 3 4 4 4 3 4 5 7 8 8 8 6 6 4 4 4 5 6 6 7 8 10 12 14 14 13 12 13 14 15 15 13 8 6 4 5 9 12 12 9 8 9 9 7 6 5 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 9 12 15 16 16 15 14 13 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 12 8 5 7 6 2 7 10 15 15 14 13 16 15 12 6 8 16 15 14 13 13 10 15 26 20 8 6 10 17 23 18 11 6 3 10 20 24 19 11 7 12 14 9 10 15 17 14 12 11 13 12 11 8 8 10 10 11 12 13 16 18 19 17 15 11 9 9 13 16 18 18 17 15 12 11 11 11 11 11 10 9 8 8 9 10 10 9 10 10 10 10 10 9 10 11 12 14 12 11 11 11 12 12 12 11 11 11 12 13 14 14 13 12 11 11 12 12 13 14 13 14 14 14 14 14 14 13 11 10 11 11 10 10 11 12 12 13 13 13 13 12 13 12 10 5 2 5 13 17 14 6 12 25 25 19 14 13 12 12 13 14 14 13 13 13 13 13 14 14 13 12 12 12 13 13 12 11 11 12 12 13 13 13 12 12 12 12 12 12 11 11 12 13 14 14 13 13 12 12 12 12 12 13 13 12 12 13 13 13 12 13 14 14 14 13 13 12 13 13 13 14 14 14 14 14 15 15 15 14 14 14 14 13 14 15 15 15 15 14 14 14 13 13 13 12 12 14 18 19 17 15 15 14 15 16 17 17 17 16 17 17 17 17 16 17 17 17 18 19 19 19 19 18 17 15 15 15 15 15 14 13 12 12 13 13 14 14 14 13 13 12 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 12 12 12 13 13 14 15 17 19 19 18 17 16 14 13 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 11 11 11 11 11 11 10 11 13 16 16 16 15 14 13 13 13 13 12 12 11 11 11 11 11 11 12 13 14 15 16 17 18 18 16 13 11 10 10 11 11 10 10 11 11 12 13 12 9 4 -2 -4 -3 3 13 19 18 15 13 12 11 11 12 13 14 13 13 14 15 14 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 13 14 15 16 15 14 15 16 17 15 16 15 14 13 13 13 13 14 13 13 13 14 14 15 15 15 15 15 15 15 14 13 12 12 12 13 nan
nan 17 13 8 7 3 2 7 15 19 13 12 12 13 9 8 6 9 11 13 18 20 20 15 12 9 12 12 13 17 19 14 3 2 2 0 6 10 12 10 8 6 18 16 10 13 14 16 15 14 12 12 11 11 11 11 11 11 11 11 12 16 20 22 22 19 15 12 10 12 16 18 17 14 12 10 8 8 9 11 12 12 11 9 8 8 8 9 9 9 10 10 10 10 10 11 11 12 13 12 11 11 11 12 13 12 11 11 12 12 13 13 13 13 12 11 11 11 12 12 12 13 14 15 15 14 14 13 12 11 11 11 11 11 10 10 12 13 13 13 13 13 12 13 13 10 7 8 13 20 21 14 4 7 19 21 19 16 13 12 13 13 13 13 13 13 13 13 13 14 14 14 13 12 12 13 13 12 12 11 12 12 12 12 12 12 11 11 13 14 13 12 11 11 12 13 14 14 13 12 13 13 13 13 12 13 12 11 12 13 13 13 12 12 14 18 17 14 13 13 13 13 14 14 13 13 14 14 15 15 16 15 14 14 14 14 14 15 16 16 16 15 15 15 15 14 12 9 9 15 20 17 16 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 15 16 17 18 18 18 18 17 16 15 14 14 13 12 12 11 11 12 12 13 14 13 12 12 11 12 12 11 11 11 11 11 11 11 12 11 11 11 11 10 11 11 12 12 13 14 16 18 17 15 13 11 11 10 10 9 10 10 10 10 10 10 10 9 9 10 10 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 13 12 12 13 13 12 11 12 12 11 11 11 11 11 11 11 11 12 14 17 17 15 13 12 12 14 14 13 12 11 10 11 11 11 11 12 13 13 14 14 15 16 17 18 16 12 10 10 12 14 13 12 12 12 12 12 13 10 6 1 0 7 15 22 25 25 20 15 13 12 11 11 10 12 13 13 12 12 14 14 13 13 13 14 14 14 15 15 16 16 15 14 14 13 14 14 15 15 14 15 16 15 16 17 16 15 14 15 16 15 15 14 12 12 12 13 13 13 13 13 13 14 15 16 16 16 15 14 14 14 14 13 12 12 12 nan
nan nan nan nan nan nan nan 13 18 15 13 7 6 8 11 11 8 7 12 17 19 21 18 12 8 9 12 17 19 18 17 13 6 0 -1 3 9 11 10 8 5 7 12 12 14 14 15 13 12 12 12 12 12 12 14 14 15 15 14 11 12 17 19 21 23 23 21 18 15 15 17 17 14 12 10 9 8 9 10 10 10 12 12 12 11 8 7 9 9 9 10 10 10 11 11 12 12 13 12 11 10 10 10 11 12 11 11 11 13 13 14 14 13 12 12 11 11 12 11 12 12 13 14 16 15 14 13 12 11 11 11 12 12 11 10 10 11 12 13 13 12 12 13 14 13 12 11 12 15 17 15 10 7 8 12 16 17 16 13 12 12 13 13 13 14 14 13 13 13 13 14 13 13 13 13 13 12 12 12 11 11 12 12 12 12 11 11 12 14 14 13 12 11 12 13 14 15 14 14 13 12 13 13 12 12 13 12 12 13 13 12 11 10 8 10 19 20 16 15 14 14 14 14 14 13 13 12 13 13 14 15 16 15 14 14 13 14 15 16 17 16 15 15 17 18 18 15 11 8 11 16 15 15 14 15 16 19 21 22 19 16 15 15 15 15 15 14 14 14 15 15 16 16 17 17 17 17 16 16 14 13 13 13 12 12 12 12 13 12 12 11 11 10 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 12 12 14 14 13 11 10 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 13 16 16 14 13 14 14 14 14 13 11 9 9 10 10 11 11 12 12 12 13 13 13 14 15 15 17 16 13 14 18 20 19 15 13 12 13 12 12 12 10 8 9 15 23 29 27 21 18 17 14 12 11 11 10 10 12 13 13 12 13 13 14 14 14 13 14 14 15 15 15 16 16 14 14 14 14 15 15 14 14 14 15 18 19 18 16 12 12 14 14 15 14 14 13 13 13 13 13 14 14 14 13 14 14 14 15 16 16 15 14 14 13 13 13 12 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 9 9 9 14 17 17 16 15 13 12 9 11 19 16 12 12 14 13 11 10 10 11 15 15 15 12 8 7 11 14 15 15 14 13 12 12 13 13 13 13 14 16 16 14 11 14 17 18 20 21 22 21 20 17 18 17 16 13 10 9 8 9 10 11 10 9 9 11 12 12 11 9 8 8 9 10 11 10 12 13 14 14 14 12 10 10 10 10 10 11 11 11 11 12 13 13 13 13 12 11 11 11 12 12 12 12 12 14 16 15 13 12 11 11 11 11 11 12 12 11 11 11 12 12 13 12 12 11 10 11 15 16 16 14 14 12 11 11 10 10 14 16 16 13 12 12 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 12 12 11 11 13 14 14 13 11 9 7 10 16 25 26 18 14 12 12 12 13 12 11 12 12 13 14 13 12 10 7 8 13 15 14 14 15 15 15 15 14 13 13 13 12 11 11 13 15 16 15 14 12 12 13 15 16 16 14 14 16 16 17 20 20 16 14 15 15 15 14 13 11 14 20 24 22 18 16 14 14 14 15 14 14 14 14 15 15 16 16 16 16 17 17 15 15 14 14 14 14 14 13 12 12 11 11 11 11 10 10 9 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 14 15 15 14 10 9 9 10 10 10 10 9 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 10 11 11 11 12 12 11 12 12 12 11 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 15 14 12 13 16 15 13 11 8 6 5 8 11 11 11 11 12 12 13 12 12 13 14 14 14 15 18 19 20 20 21 18 15 14 13 12 12 12 11 11 12 15 18 20 21 18 15 13 13 13 12 12 12 11 12 13 14 13 13 14 13 13 13 13 13 13 14 15 16 16 15 14 13 14 15 15 15 15 14 13 14 15 18 20 19 15 11 12 14 15 14 13 13 13 13 13 12 12 13 14 14 14 14 14 14 15 15 15 16 15 14 14 13 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 10 9 8 14 17 15 10 10 14 24 24 15 12 10 13 14 14 11 7 8 12 14 15 14 13 13 13 13 13 13 12 11 12 14 15 13 11 12 15 16 16 17 18 18 16 16 16 14 13 11 9 8 8 10 12 12 11 9 8 9 11 13 13 11 9 9 9 10 11 11 13 13 15 15 13 11 10 9 9 10 10 9 10 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 13 14 15 14 13 11 10 10 11 11 13 13 13 13 12 11 12 13 13 12 12 11 9 12 16 17 16 13 13 13 13 13 12 12 14 15 14 12 12 12 12 12 13 14 13 14 13 12 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 12 13 13 13 13 12 9 3 -0 5 20 33 31 26 18 14 13 13 12 11 11 12 12 13 14 13 13 12 10 11 11 11 12 14 15 15 15 15 15 14 13 13 12 10 11 13 15 16 15 13 11 11 11 15 17 16 15 14 12 11 18 25 20 16 16 16 16 15 12 6 2 7 14 19 20 19 18 17 15 14 14 15 16 15 15 15 16 16 17 16 16 16 15 15 14 14 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 14 15 16 16 14 12 10 9 9 10 11 10 10 11 10 10 10 9 10 10 9 9 9 9 9 10 11 11 10 11 11 12 11 11 12 11 11 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 11 11 11 10 10 11 10 10 11 12 12 12 12 13 13 13 13 14 12 9 6 5 6 8 11 12 12 12 11 11 11 12 13 13 13 13 14 14 16 19 22 21 17 15 13 14 15 14 13 12 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 13 12 12 13 13 13 13 13 13 13 12 12 12 12 15 16 17 16 15 14 13 13 14 15 15 15 14 14 14 16 19 20 18 13 11 12 14 14 13 13 14 13 12 12 12 13 13 13 13 13 14 14 15 15 15 15 15 15 14 13 13 12 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 15 11 13 21 19 13 7 7 9 12 11 10 9 12 14 14 13 12 11 11 13 13 11 10 10 9 9 11 13 12 11 12 13 14 13 13 13 12 10 11 12 11 10 10 10 10 11 11 13 13 10 9 9 10 11 13 14 11 9 8 8 10 10 11 12 13 15 15 14 11 10 9 8 9 9 10 10 10 11 11 11 12 12 11 10 11 11 12 12 12 12 12 13 14 15 14 13 11 10 10 11 12 13 14 13 13 13 12 13 13 13 13 12 12 12 13 14 14 13 13 13 13 15 15 14 14 13 12 11 11 12 13 13 13 14 13 13 13 12 12 13 13 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 12 10 7 0 -3 3 16 25 31 30 22 16 13 13 13 12 11 12 13 13 13 14 14 12 12 11 12 12 13 14 13 15 16 17 17 15 14 14 13 12 13 14 15 15 14 13 11 11 13 16 17 17 15 11 7 12 21 19 17 15 15 15 17 17 11 6 6 8 13 16 18 19 19 17 15 15 16 17 16 15 16 16 16 16 15 15 15 15 14 14 14 14 13 13 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 16 16 15 14 11 10 10 10 10 10 10 10 10 10 11 10 10 9 9 10 10 9 9 9 9 9 10 10 11 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 9 10 11 11 10 10 10 9 10 10 10 11 11 11 12 13 13 14 13 13 11 10 9 9 10 12 13 13 12 11 11 11 11 11 12 13 14 13 13 14 15 16 20 21 19 15 13 13 15 14 13 12 12 11 11 11 11 10 10 11 12 12 13 13 13 12 12 12 12 11 12 13 13 14 14 13 13 13 13 11 10 13 17 16 16 15 14 14 13 13 13 14 15 15 14 14 15 16 17 19 18 13 12 12 12 12 13 14 13 13 13 13 13 13 13 14 13 12 13 13 14 15 16 16 15 14 13 13 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 7 14 17 15 13 14 15 13 10 10 11 12 13 12 10 10 10 9 10 10 11 11 12 14 14 13 11 10 9 9 8 8 8 10 10 11 13 14 14 13 13 12 11 10 10 11 12 13 13 10 8 8 8 8 9 9 10 12 14 16 16 13 10 8 7 7 8 9 9 10 11 11 12 11 11 11 11 10 11 12 13 12 12 12 13 14 15 14 13 12 10 10 11 13 13 14 13 13 14 13 13 12 12 13 13 13 13 12 12 12 12 13 13 14 15 15 14 14 13 12 11 12 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 14 14 13 12 12 12 12 12 12 12 12 13 13 13 13 12 13 13 10 3 -1 -0 8 19 33 33 20 14 13 13 13 12 11 12 12 13 14 15 14 13 12 12 13 14 14 12 11 15 21 25 21 17 18 17 15 15 15 13 13 13 13 12 12 13 14 15 17 16 14 11 12 15 16 16 16 15 14 16 17 17 14 11 9 9 10 12 15 17 17 16 16 16 17 17 15 16 16 15 14 14 14 15 14 13 13 13 13 13 13 13 12 13 12 11 10 11 12 12 13 12 12 12 12 12 13 13 14 14 15 16 17 17 16 14 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 11 10 10 10 10 9 9 10 10 11 11 12 12 12 13 14 15 14 12 11 11 11 11 12 13 13 13 12 11 11 10 11 12 12 13 13 13 13 14 14 15 17 21 21 18 16 13 13 13 13 13 13 12 11 11 10 10 10 10 12 13 13 12 13 12 11 11 12 12 12 12 12 13 15 14 14 14 14 13 12 13 14 15 16 15 14 14 14 13 13 14 13 14 14 13 14 16 17 17 17 17 16 14 12 11 12 13 14 14 13 12 12 13 13 13 14 14 13 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 13 13 12 11 10 10 10 10 11 12 11 11 12 14 15 15 13 11 10 9 9 9 9 11 12 13 15 16 15 14 14 13 12 11 10 11 12 13 12 9 8 8 8 8 8 9 10 11 14 17 16 14 11 9 7 6 7 9 10 11 12 13 12 12 11 10 10 10 10 12 12 13 13 13 12 14 15 14 13 12 10 10 12 14 14 14 13 13 13 12 11 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 14 13 12 13 13 14 13 13 12 13 13 11 11 12 12 12 13 13 13 13 13 14 12 8 2 -1 4 27 38 28 21 15 13 12 12 12 12 12 13 15 15 14 14 14 14 14 15 14 10 5 4 15 28 28 22 23 20 17 16 17 15 12 11 12 13 13 14 14 14 14 14 13 14 14 14 14 14 14 13 13 14 14 15 14 12 11 10 9 9 10 13 14 15 15 14 16 16 16 16 17 16 15 15 15 15 15 13 12 11 11 12 12 12 12 12 12 12 12 12 12 13 14 15 15 15 16 16 17 17 17 18 18 18 17 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 10 10 10 11 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 12 12 13 14 14 14 11 9 10 11 11 11 12 12 12 12 11 11 11 11 11 12 13 13 13 13 14 14 14 15 18 21 22 20 16 13 13 13 13 12 12 12 10 10 9 9 10 11 12 13 13 13 13 12 11 11 12 12 12 13 13 13 14 14 13 13 13 13 13 14 15 15 14 14 13 14 14 14 14 13 14 15 15 14 14 15 15 15 16 17 16 14 12 12 12 13 14 13 13 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 12 13 15 15 14 14 15 16 18 20 23 26 27 26 24 19 12 9 11 18 27 31 29 28 29 33 36 34 26 20 21 23 26 27 24 21 20 22 24 26 27 27 28 27 24 20 18 18 18 16 14 14 13 12 10 8 7 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 3 2 2 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 5 1 0 0 0 0 3 12 23 31 35 32 26 22 20 19 18 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 22 26 27 24 19 12 5 4 16 29 35 31 21 13 8 6 2 0 0 0 0 0 0 0 4 11 20 30 35 36 45 47 40 34 40 42 47 65 67 67 60 49 30 20 16 10 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 33 23 3 8 37 68 85 92 96 105 116 126 131 127 116 104 107 113 96 76 80 95 98 89 81 80 85 95 106 109 109 113 112 109 103 109 112 104 96 102 120 142 168 183 187 188 190 188 176 154 121 109 117 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 8 8 9 10 11 13 14 15 17 19 20 21 22 23 24 21 15 10 7 8 11 16 21 23 24 24 26 26 21 18 20 24 28 28 25 22 20 22 24 25 24 24 24 22 18 17 16 16 15 12 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 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 1 4 4 2 0 0 0 0 0 4 17 28 37 40 37 29 22 20 17 14 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 2 0 0 0 0 5 14 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 21 27 27 24 21 17 11 7 14 28 33 29 19 10 6 5 1 0 0 0 0 0 0 0 0 1 4 7 5 7 15 25 30 34 37 36 36 40 38 47 46 54 41 31 29 26 22 18 10 7 12 3 0 0 0 0 0 0 8 10 29 6 3 10 30 54 26 3 2 19 54 73 94 111 117 124 133 140 138 128 119 116 116 110 108 117 124 124 115 107 102 102 107 110 113 114 109 99 94 89 90 94 99 102 116 139 160 182 193 194 193 194 188 172 152 130 125 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 6 6 6 7 8 8 10 11 12 14 14 13 12 14 15 18 18 15 12 10 9 9 11 16 18 19 19 21 22 20 19 24 30 33 32 29 23 21 22 24 27 26 22 19 17 16 15 14 13 12 8 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 6 6 6 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 29 38 42 38 30 24 21 18 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 10 5 2 0 0 2 7 7 2 0 0 0 0 0 3 1 0 0 0 0 0 0 0 0 0 1 9 20 27 27 24 21 19 16 13 16 25 31 27 18 10 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 19 25 30 34 30 32 30 27 31 40 39 36 33 30 30 32 35 27 28 22 17 9 2 1 6 15 34 44 34 12 21 31 42 53 31 9 3 10 44 72 92 116 125 130 136 143 144 136 131 128 126 126 130 135 140 141 134 129 119 112 109 109 116 123 112 96 84 88 94 100 109 121 144 160 174 192 202 201 197 196 190 177 160 147 145 150 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 5 5 5 6 6 7 8 9 10 10 9 7 8 9 10 12 12 12 12 12 12 12 14 16 17 16 18 19 19 20 29 37 38 37 36 32 25 22 23 26 26 20 15 14 14 13 11 9 7 5 3 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 1 7 18 28 35 40 38 30 26 24 20 14 7 2 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 3 10 14 12 6 2 0 0 1 1 1 5 10 8 4 3 4 2 0 0 0 0 0 0 0 0 0 2 10 19 25 26 24 22 20 18 17 18 23 26 24 17 9 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 13 18 20 23 20 23 17 14 18 21 28 30 29 31 32 37 50 46 32 32 32 26 17 8 20 38 51 58 52 40 35 32 30 29 23 20 26 49 78 100 111 121 128 132 138 144 148 144 137 135 134 139 139 138 137 135 132 127 120 113 108 107 115 125 118 108 102 106 112 117 121 128 148 164 177 190 199 201 195 193 189 177 162 147 141 141 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 4 4 4 5 5 6 7 7 7 7 6 6 6 6 7 8 9 10 12 13 14 14 16 17 17 16 16 17 20 29 39 39 38 35 33 26 20 19 20 19 14 11 10 11 10 8 6 4 2 1 0 1 1 0 0 1 2 2 3 3 4 4 4 4 3 4 3 3 3 4 4 4 4 5 5 5 5 6 4 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 25 32 39 38 32 28 27 24 17 9 3 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 9 6 3 2 0 0 0 3 12 18 18 14 6 1 0 0 0 0 0 0 0 0 0 0 2 8 16 21 22 22 22 21 21 20 21 23 24 20 15 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 17 17 18 18 16 11 6 3 14 22 23 22 26 42 59 56 34 27 32 30 27 24 37 53 64 58 38 37 30 40 59 56 26 40 69 89 105 120 124 125 125 131 136 142 150 150 144 139 137 141 139 136 137 136 130 125 120 115 113 111 113 119 121 119 122 130 136 139 132 118 113 128 151 170 185 190 186 187 184 170 155 144 139 127 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 5 4 3 4 4 4 4 5 5 6 5 5 5 5 5 5 5 6 7 10 12 14 15 17 17 17 15 14 15 18 24 31 32 34 34 31 23 15 12 11 9 6 5 5 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 0 1 1 2 2 3 3 3 4 4 3 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 15 21 29 38 40 37 33 31 28 21 13 6 2 1 2 1 2 4 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 2 2 1 2 3 3 4 3 1 0 2 11 22 26 23 16 5 0 0 0 0 0 0 0 2 4 5 5 4 8 13 17 18 19 19 22 24 26 27 29 26 20 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 13 16 16 18 18 17 10 2 0 6 15 20 21 22 33 46 42 28 27 41 53 48 53 65 67 65 61 43 42 39 54 97 104 70 62 88 106 114 124 128 132 135 133 132 134 144 148 145 144 143 141 138 136 136 136 132 128 124 121 118 113 110 114 121 128 139 154 163 163 148 121 94 85 107 139 163 176 178 182 180 163 146 149 152 135 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 11 10 8 6 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 8 10 13 15 16 17 16 15 14 16 18 21 22 24 24 22 16 11 6 4 2 1 1 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 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 2 8 14 18 24 35 42 42 38 35 32 26 19 13 9 6 5 5 6 7 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 5 2 2 5 5 2 0 2 9 21 30 29 22 11 1 0 1 2 2 2 0 1 3 6 8 7 6 8 12 14 15 15 16 18 24 29 34 35 29 21 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 14 16 18 18 17 7 0 0 1 5 14 22 24 24 25 25 28 35 40 47 59 79 89 75 62 83 87 88 77 82 128 128 105 85 100 124 128 131 132 138 142 140 132 131 139 140 139 144 147 144 139 136 135 134 133 130 128 128 127 121 114 114 119 131 146 166 179 177 162 138 111 98 99 114 135 169 184 188 184 169 157 161 166 157 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 12 11 9 7 6 4 4 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 6 8 11 13 14 16 16 14 13 13 13 13 13 14 13 11 8 5 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 14 19 29 40 45 43 40 37 33 28 24 20 15 11 10 9 8 6 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 3 6 10 13 10 10 13 8 1 2 9 20 32 33 25 16 6 0 1 4 5 5 3 0 1 4 6 5 0 2 5 8 9 10 10 10 9 15 23 28 31 28 22 10 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 16 13 7 2 0 0 0 2 11 18 20 22 29 34 40 42 38 38 43 56 74 66 64 101 112 115 113 131 147 141 124 111 111 120 131 135 135 137 138 134 129 130 135 136 136 138 142 143 141 138 136 133 131 131 132 135 137 133 123 117 118 128 140 156 172 173 162 145 127 118 118 115 124 142 166 184 188 181 172 174 176 170 158 150 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 11 13 12 10 9 8 6 5 4 4 3 2 2 2 2 2 2 3 3 3 3 3 3 3 5 7 9 11 13 14 14 12 11 10 9 8 9 10 10 7 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 13 22 34 43 46 43 40 39 38 36 30 22 18 14 11 8 6 3 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 10 15 16 19 20 9 2 10 21 29 31 26 18 12 6 2 3 6 7 6 5 3 4 5 5 2 0 0 1 1 2 4 4 3 2 4 7 12 16 18 17 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 5 1 0 0 0 0 0 1 5 9 12 25 38 42 45 42 36 33 37 38 40 47 68 90 102 112 123 137 147 147 144 138 128 124 130 137 138 136 135 129 124 126 128 128 134 139 142 142 139 138 136 134 133 132 134 139 143 141 133 124 120 124 132 140 150 154 149 140 127 116 111 113 121 136 154 169 180 180 172 164 166 165 161 154 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 11 13 13 12 11 10 8 6 6 6 4 2 1 1 1 1 2 2 3 4 4 3 2 1 2 3 5 8 10 12 13 13 11 9 7 7 7 8 8 7 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 7 13 23 34 42 44 42 42 43 40 32 24 20 16 12 8 6 3 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 2 5 9 13 15 23 23 12 10 20 27 26 21 16 13 9 5 5 6 7 8 8 7 7 7 7 5 1 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 32 46 50 47 45 45 37 36 43 43 49 63 87 103 109 118 133 142 149 151 149 143 131 124 129 134 134 134 132 122 118 122 120 117 125 133 142 144 136 135 136 136 134 133 134 139 142 141 137 131 123 122 124 126 130 135 135 129 120 109 100 99 108 122 138 153 167 174 169 153 142 148 152 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 18 17 16 15 14 14 14 12 9 6 6 6 2 0 0 0 0 1 2 4 5 5 4 2 1 0 0 1 3 6 9 12 14 13 10 6 4 4 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 12 21 32 39 42 43 42 38 30 24 20 16 12 8 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 16 16 24 28 20 20 26 22 16 12 10 8 6 5 7 8 9 9 9 9 8 8 9 7 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 5 20 43 57 69 60 56 62 61 66 70 67 76 92 110 125 131 137 145 148 151 152 150 145 135 129 128 127 126 130 129 117 113 118 114 108 117 120 130 139 136 133 134 135 133 132 132 134 136 137 138 134 124 121 122 120 120 122 121 117 111 105 96 90 91 102 120 141 161 174 177 165 152 146 148 144 nan nan nan nan nan nan nan 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 20 19 18 18 17 17 16 12 7 6 5 3 0 0 0 0 0 0 2 5 6 6 6 3 1 0 0 0 2 5 8 12 15 14 10 6 3 2 4 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 17 26 34 39 38 34 28 23 19 15 11 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 17 18 28 33 28 26 22 13 6 3 2 2 2 5 8 10 10 10 10 9 8 8 10 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 16 32 48 73 89 80 76 82 88 92 95 94 98 113 130 141 150 158 157 152 150 148 147 143 137 131 129 126 126 131 131 118 110 114 109 106 109 110 116 126 131 130 130 131 128 126 126 128 131 133 134 130 122 120 124 124 120 118 114 108 104 101 97 90 83 84 99 124 150 169 178 175 165 155 147 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 14 17 19 19 19 18 18 18 16 10 6 5 3 1 0 0 0 0 0 0 2 3 4 5 4 2 0 0 0 0 1 2 5 11 15 17 15 12 9 8 8 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 22 24 23 21 18 15 11 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 16 19 30 32 28 22 14 7 2 0 0 0 0 4 6 7 9 10 10 9 9 9 10 11 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 26 37 53 80 97 97 96 99 106 116 119 114 113 125 138 148 152 156 154 149 146 145 143 137 129 128 128 129 131 133 130 123 114 110 108 110 112 109 110 116 124 126 126 124 122 117 116 120 125 127 125 121 117 117 121 123 120 116 112 106 100 96 98 97 92 88 90 105 127 150 170 178 171 156 144 133 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 7 9 13 16 17 16 14 16 18 16 9 7 6 4 1 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 7 15 20 22 19 16 14 14 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 8 10 11 10 9 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 10 16 20 23 26 25 22 16 8 3 1 0 0 0 0 1 2 3 4 6 8 9 9 9 10 11 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 35 54 66 77 93 106 110 111 113 119 130 132 123 118 122 130 141 145 145 143 139 137 138 137 130 123 122 122 126 129 131 128 124 117 109 107 111 115 114 113 116 121 123 121 118 113 106 104 111 115 116 115 113 112 113 116 112 111 111 109 104 99 96 97 102 107 106 100 99 107 120 141 165 166 146 131 121 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 3 6 11 13 12 10 11 14 16 12 9 10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 17 23 26 26 23 20 18 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 10 16 22 24 23 20 16 12 6 4 4 2 0 0 0 0 0 0 1 1 3 5 6 7 8 9 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 25 49 72 97 110 114 111 110 117 119 119 125 124 116 116 119 126 137 142 140 134 129 126 125 125 123 118 115 114 117 120 124 125 124 118 110 104 108 113 116 118 118 121 120 117 114 112 104 101 106 109 107 106 105 106 108 111 112 111 110 108 102 97 93 94 101 113 119 117 110 104 99 101 120 141 130 112 101 86 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 1 3 6 9 9 7 7 8 11 11 11 12 14 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 16 24 30 28 25 23 19 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 7 11 15 19 18 15 11 8 5 5 5 5 2 0 0 0 0 0 0 0 0 1 1 2 4 6 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 30 54 75 103 122 125 110 107 123 122 112 117 114 110 116 122 129 137 142 142 134 127 120 115 112 111 110 107 106 106 107 111 117 121 121 114 106 104 106 112 117 118 120 119 116 116 119 116 112 111 107 104 102 101 99 98 99 107 111 112 111 107 100 95 94 100 112 123 125 121 116 108 94 99 121 123 111 97 80 nan nan nan nan nan 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 0 0 1 4 8 9 8 6 5 5 7 10 14 15 13 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 17 23 25 25 25 22 19 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 5 6 6 5 7 9 9 7 5 4 4 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 29 50 70 95 120 129 114 113 132 131 119 114 111 111 120 126 131 137 142 144 141 133 123 113 106 102 99 97 97 96 96 97 100 108 114 115 111 105 100 104 109 110 113 114 114 114 120 122 119 113 104 101 101 100 96 89 83 85 94 103 109 112 114 111 109 110 118 129 140 124 114 104 98 105 121 117 103 86 74 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 11 7 3 2 4 8 10 9 6 5 4 5 11 18 20 15 9 4 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 17 21 24 24 21 17 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 4 4 5 5 6 6 5 4 4 4 4 3 3 3 3 4 4 4 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 21 34 59 76 110 134 121 109 120 130 132 120 113 114 122 128 129 132 136 140 140 136 126 114 105 101 98 94 92 94 95 95 93 93 98 104 106 104 97 100 103 102 102 104 106 109 116 120 118 111 103 100 98 98 96 90 81 74 76 85 97 107 115 122 126 128 129 132 136 129 110 90 87 93 101 92 70 51 47 55 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 15 15 12 8 5 5 6 8 7 5 4 4 7 14 24 26 18 11 6 4 2 2 3 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 5 8 13 18 21 22 21 18 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 6 6 6 6 5 5 4 3 3 3 2 2 2 3 3 3 4 3 5 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 17 25 43 60 91 121 125 105 100 112 124 121 115 115 123 128 127 124 124 126 127 125 117 105 94 90 92 92 88 89 91 95 96 95 94 93 92 90 90 98 103 102 100 97 96 99 108 115 116 112 106 102 94 92 94 93 86 77 75 83 93 101 105 114 128 137 137 136 139 136 120 97 83 81 77 69 55 45 49 66 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 11 12 11 9 8 7 6 5 4 2 2 4 9 16 23 25 19 13 10 8 6 5 3 3 4 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 6 10 15 20 22 22 18 12 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 0 0 0 0 0 1 2 3 4 5 6 7 7 7 6 5 5 6 6 5 4 4 3 3 3 3 2 2 2 3 4 4 4 4 5 6 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 4 15 22 30 40 57 88 115 117 107 107 118 122 119 116 120 125 123 119 116 113 111 106 98 86 72 68 72 76 78 78 76 76 82 90 96 95 89 82 81 90 100 104 105 103 95 89 97 107 113 113 109 105 94 88 90 91 87 82 82 91 101 105 104 108 123 138 143 143 143 142 136 123 109 99 95 92 84 77 82 90 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 9 9 10 10 10 8 5 3 1 0 1 4 8 12 15 15 14 13 13 13 11 9 6 3 3 4 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 13 19 20 20 17 13 8 5 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 0 0 0 0 0 2 4 5 6 8 9 9 9 8 7 6 5 6 6 5 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 5 6 6 7 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 7 2 0 1 4 6 4 3 12 19 23 26 34 56 91 118 123 121 124 127 122 116 114 114 114 111 106 104 98 90 81 68 52 47 53 62 67 68 61 52 53 62 76 86 89 85 80 79 85 91 100 108 106 96 92 98 106 111 109 103 96 89 88 89 86 82 85 95 106 111 109 108 120 136 144 145 142 143 148 152 152 143 133 133 129 121 114 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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