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 5 5 5 6 5 5 4 4 5 5 4 4 4 5 5 5 6 6 6 5 4 3 2 2 3 3 3 4 4 3 3 3 3 3 3 3 2 2 3 2 2 2 2 2 2 1 2 2 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 6 6 6 6 7 7 8 8 8 7 6 6 4 4 3 4 4 4 6 7 6 5 5 6 6 6 7 6 5 5 5 4 3 2 1 3 7 8 7 5 3 2 5 5 4 3 2 3 8 6 2 6 6 6 8 11 7 1 -0 2 2 2 6 6 3 1 3 8 8 5 5 5 7 9 5 -1 -2 -0 1 -0 2 8 7 3 1 -1 -2 -1 2 4 2 1 3 3 2 4 2 0 1 3 5 14 34 40 26 12 7 5 4 3 3 3 3 3 4 4 5 6 7 9 11 12 14 16 15 11 7 4 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 3 4 4 5 4 3 4 5 5 4 3 4 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 5 4 5 6 6 5 4 4 4 4 4 3 3 3 3 4 5 5 5 5 5 6 8 11 13 11 7 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 4 5 5 5 5 4 4 4 6 8 15 20 15 11 12 14 13 4 -2 -5 -8 -9 -2 1 2 6 6 3 4 6 5 2 -1 -4 -6 -6 -6 -6 -2 2 5 5 5 6 8 8 10 12 15 14 10 8 8 7 7 8 8 8 8 8 9 10 13 15 14 12 11 10 9 9 9 11 13 13 10 6 3 2 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 nan nan nan nan 8 6 4 5 5 5 5 5 4 4 5 5 4 4 4 5 5 6 6 6 5 5 4 3 3 3 3 4 4 4 3 3 3 2 3 3 4 3 3 3 3 3 3 3 3 2 1 2 2 2 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 6 6 7 7 7 8 8 9 9 8 7 6 5 4 3 3 4 4 5 7 7 6 5 5 6 6 6 6 5 5 5 4 3 2 3 6 8 6 6 8 3 2 2 2 3 3 2 2 6 4 4 8 9 9 12 16 13 6 1 -0 2 6 10 9 5 3 3 7 9 8 7 5 5 5 4 2 -0 -1 -0 -1 1 5 5 1 1 -0 -1 -1 1 5 4 2 2 2 3 5 8 9 8 11 17 27 35 30 16 7 6 5 3 3 3 3 3 3 3 4 5 6 7 9 9 11 12 14 14 12 8 5 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 4 5 6 7 5 5 5 5 4 4 5 5 5 5 5 4 4 2 0 2 4 4 4 4 5 6 5 5 6 6 6 5 4 5 5 4 4 3 3 3 3 4 5 5 5 5 5 6 8 10 12 10 7 5 5 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 8 14 16 14 12 12 13 12 9 9 5 2 2 4 4 6 7 6 8 8 5 2 2 0 -2 -2 -3 -6 -5 -0 3 4 4 5 5 6 7 10 12 11 8 8 8 7 8 8 8 8 9 8 8 10 13 13 10 8 6 6 7 8 7 8 9 9 7 5 3 3 3 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 13 10 7 5 5 5 5 5 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 3 3 3 3 3 4 4 5 4 4 3 2 2 2 2 2 3 3 3 4 3 3 3 3 3 2 3 3 2 3 3 4 4 4 4 4 4 4 3 4 4 4 4 5 4 4 4 3 3 4 3 3 4 4 4 4 4 4 5 5 4 4 3 3 3 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 4 3 3 4 4 5 5 5 5 6 6 7 7 8 8 8 9 10 10 9 7 6 6 5 4 4 4 4 5 7 7 6 5 5 6 7 6 6 5 5 5 4 3 2 8 12 7 3 5 7 2 4 3 1 2 5 6 3 2 2 4 5 6 5 8 12 12 7 3 2 3 7 8 8 7 6 6 9 13 12 9 6 4 2 1 3 6 6 4 2 0 3 6 4 2 1 -0 -1 1 5 5 2 1 2 4 9 14 16 18 21 28 34 30 17 8 6 5 4 3 3 3 3 3 3 3 3 5 6 7 8 8 9 10 11 12 12 10 8 5 4 3 3 2 3 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 4 5 5 5 5 4 4 5 6 6 6 5 5 6 5 5 5 5 6 6 7 6 5 5 3 -2 -3 2 3 2 1 4 6 6 6 6 7 6 5 4 5 5 4 4 3 2 3 3 4 5 5 5 5 5 6 7 9 10 10 8 6 5 5 4 4 3 3 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 4 3 4 4 5 9 11 11 10 8 8 8 7 6 5 5 7 6 5 5 5 7 7 5 3 3 5 4 3 2 -0 -1 2 4 4 4 4 5 6 6 7 8 8 8 9 9 9 8 7 7 7 8 8 8 9 11 9 6 5 4 5 6 6 5 5 5 5 5 4 4 3 3 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 16 13 10 8 6 5 5 5 5 5 4 3 3 3 4 5 6 6 6 6 5 5 5 5 6 6 5 4 3 3 3 3 2 2 2 2 3 3 3 3 3 4 5 5 4 4 3 3 2 2 2 3 2 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 3 3 4 4 5 5 5 6 6 7 7 8 8 9 9 10 11 11 10 8 7 6 5 5 4 4 4 6 7 7 7 6 5 5 6 6 6 5 5 5 4 2 -0 5 13 10 3 4 7 5 5 7 5 1 7 11 5 -3 -1 3 2 -0 -2 1 4 5 3 2 2 3 3 2 4 8 9 11 12 15 15 12 9 8 5 -0 1 9 14 11 8 6 7 11 10 5 2 -1 -0 3 6 5 2 2 4 8 13 18 22 26 29 33 31 20 9 5 5 5 4 3 3 3 3 3 3 3 4 5 6 7 8 8 8 8 9 10 11 11 10 9 7 6 5 4 5 5 5 5 5 5 5 5 4 4 3 2 2 3 3 4 5 6 6 5 6 5 5 6 6 6 4 4 5 5 5 5 5 5 6 6 7 7 6 5 4 1 -4 -1 3 1 0 3 6 6 6 7 6 5 4 5 6 6 5 4 3 2 2 3 4 4 5 5 5 5 6 7 8 9 10 9 6 5 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 4 6 6 5 4 4 4 4 4 5 8 10 8 4 4 4 6 6 6 6 5 4 4 5 3 3 3 5 5 4 5 5 7 7 8 8 7 8 10 11 11 10 8 7 7 8 8 8 8 8 6 4 3 3 5 7 6 3 3 3 3 3 4 4 4 4 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 12 13 12 11 9 8 7 6 5 5 5 3 3 3 4 6 6 7 6 6 6 5 5 5 6 6 6 4 3 3 3 2 1 1 2 2 3 3 3 3 3 4 4 5 4 4 4 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 4 3 3 4 5 6 6 6 7 8 8 8 9 9 10 11 13 13 11 9 7 6 6 6 5 5 4 6 7 8 7 6 6 5 6 6 6 6 5 5 5 1 -4 -3 8 13 10 10 9 5 6 9 6 3 4 9 6 -2 -1 4 4 0 -2 -2 -1 -1 -2 -1 0 2 2 2 7 12 11 11 11 12 14 13 12 10 8 3 1 7 14 13 13 14 12 12 11 8 4 2 3 6 6 5 5 6 8 11 14 19 25 29 32 30 21 10 5 5 5 5 4 4 3 3 3 3 3 3 4 5 6 6 7 7 7 7 7 8 9 10 11 11 10 9 8 8 7 6 6 5 5 5 5 4 4 3 3 2 3 4 4 5 6 8 8 6 5 5 5 6 5 4 3 4 4 4 5 5 5 5 6 6 7 7 6 5 4 3 -0 -3 -0 5 7 6 6 6 7 6 5 4 4 5 6 6 5 4 4 3 2 2 3 4 5 5 6 5 6 6 7 9 10 10 8 6 6 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 2 0 -1 -1 -1 0 -0 -1 -1 0 2 3 3 3 3 4 3 3 6 10 10 8 7 5 5 9 10 7 5 4 5 5 4 3 3 4 5 5 5 6 8 9 10 9 8 9 11 14 15 12 8 6 6 8 9 8 7 6 4 2 1 2 5 7 6 4 4 4 3 3 4 4 4 4 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 6 9 11 12 11 11 10 9 7 6 5 4 4 4 5 6 6 6 6 6 6 5 5 6 6 6 5 4 4 3 3 2 2 2 2 2 3 2 3 3 4 4 4 4 4 3 4 4 4 3 3 2 2 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 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 6 6 7 7 7 8 8 8 9 11 13 14 14 11 9 7 7 7 7 6 5 5 5 7 8 7 7 6 5 5 6 6 6 5 5 5 3 -0 0 6 9 11 13 8 4 6 7 6 4 1 3 4 2 2 6 6 3 2 -0 -3 -4 -3 -2 -0 2 6 9 14 14 10 7 6 7 10 12 10 8 7 4 -0 4 10 11 10 12 9 7 7 6 7 8 8 7 6 7 9 11 10 9 12 18 24 27 27 19 10 5 4 5 5 5 5 4 3 3 3 3 3 3 4 5 6 6 6 7 7 7 6 6 7 8 10 11 11 11 10 10 9 7 7 6 5 5 4 3 3 4 3 3 4 4 5 5 6 8 8 6 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 7 7 6 5 4 4 3 -1 -2 3 7 6 6 7 8 6 4 3 4 6 6 5 5 5 5 4 3 2 3 3 4 5 6 5 5 6 6 8 9 11 11 8 7 5 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 -0 -2 -3 -3 -1 -1 -2 -2 -2 -1 1 3 3 4 5 3 2 4 7 9 9 9 7 8 11 11 9 6 5 5 4 4 3 3 4 5 5 5 6 7 10 10 9 9 9 12 16 16 13 9 6 6 7 9 9 7 6 4 2 1 2 5 6 6 4 4 5 5 5 4 4 4 4 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 5 7 9 9 11 12 12 10 8 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 3 4 4 4 4 4 3 3 3 3 3 4 4 3 2 2 2 3 3 3 3 2 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 7 7 7 7 9 12 13 14 13 11 10 8 7 7 8 7 5 5 5 6 7 8 8 7 6 6 6 6 5 5 6 5 5 4 6 9 7 6 7 5 5 6 5 5 4 3 3 4 5 6 8 6 2 3 5 2 -1 1 1 1 4 8 13 14 9 5 3 2 1 4 10 10 6 4 2 0 4 7 8 6 7 6 3 4 5 10 12 10 8 8 10 11 10 7 6 8 14 20 23 19 11 5 4 5 5 5 5 4 4 3 3 3 3 3 3 4 5 6 6 6 6 7 7 6 6 6 7 8 9 10 10 11 10 9 8 7 6 5 4 4 3 3 4 4 4 5 5 5 5 5 6 7 5 4 4 4 4 5 5 4 4 5 6 6 6 5 5 5 6 7 7 7 6 4 5 6 5 0 -2 0 3 4 7 9 8 5 5 6 7 7 6 5 5 5 4 4 3 3 3 3 5 6 6 5 5 6 7 8 10 12 12 10 6 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 2 0 -1 -1 -0 2 2 2 1 1 2 4 4 4 5 4 4 4 5 4 5 6 7 10 11 9 8 7 5 5 5 4 4 4 4 6 6 5 4 6 8 9 8 8 9 11 14 15 12 9 6 5 6 7 8 7 5 3 2 1 2 3 4 5 5 4 5 6 6 5 4 4 4 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 11 7 4 4 5 6 8 10 11 11 10 9 8 7 7 7 6 5 4 4 4 4 4 4 5 5 4 4 4 3 4 4 3 3 2 2 2 2 2 2 3 4 4 4 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 3 4 4 4 5 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 6 6 7 7 6 6 8 11 12 13 12 11 9 8 8 8 8 8 6 5 5 5 7 8 8 8 7 6 6 6 6 5 5 5 5 5 6 8 8 6 5 6 7 6 3 4 6 6 5 5 7 8 8 5 1 4 7 6 4 4 5 4 6 8 9 8 4 3 2 1 -1 -0 8 13 10 5 2 4 6 3 1 3 7 7 5 3 7 8 8 7 7 10 11 9 5 4 5 8 12 17 19 13 7 5 5 5 5 5 4 4 4 3 3 3 2 2 3 4 5 5 6 6 6 6 7 7 6 5 6 7 7 8 10 10 9 9 8 7 6 5 4 3 4 4 4 5 5 5 4 4 4 4 5 7 6 4 4 4 5 6 6 6 6 7 7 7 7 7 6 5 6 6 7 7 6 6 7 8 8 4 0 -2 0 2 4 7 7 6 6 6 7 7 7 6 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 7 8 11 13 13 9 5 4 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 4 5 5 5 5 5 4 3 4 5 4 3 3 4 5 7 7 6 6 5 5 6 5 4 5 5 5 5 2 1 1 5 8 8 7 6 6 6 6 6 5 4 4 4 6 7 6 4 3 4 6 7 7 8 10 11 12 11 8 6 5 5 5 6 6 4 2 2 1 1 1 2 4 5 4 4 4 4 5 5 5 4 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 12 7 4 4 4 4 6 8 10 10 10 9 8 8 7 7 7 6 5 4 3 3 4 4 5 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 3 3 3 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 9 10 10 11 11 10 9 8 8 8 8 8 7 5 4 5 7 7 8 8 8 7 7 6 5 5 5 5 5 5 5 5 7 8 9 8 5 5 4 4 7 8 6 5 6 8 7 3 2 5 8 8 6 6 6 6 8 8 6 3 2 3 3 2 -0 -1 6 14 15 10 5 8 7 0 -0 5 4 5 6 4 8 7 2 3 6 10 9 6 4 5 8 10 13 16 15 9 5 5 5 5 4 4 4 4 3 3 3 3 2 3 3 4 4 5 5 5 6 6 6 6 6 5 6 6 6 7 9 9 9 9 8 7 6 5 4 4 5 5 4 4 4 4 3 4 4 5 6 8 9 9 7 6 6 6 7 8 8 8 8 8 9 9 9 8 8 7 6 6 7 7 8 8 8 6 3 1 0 1 1 2 3 4 4 4 4 4 5 7 7 6 5 5 5 5 4 4 4 4 5 5 6 6 5 5 6 8 11 13 12 9 6 4 3 2 2 2 2 3 3 4 5 5 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 6 7 6 3 2 5 6 5 5 5 5 6 8 8 7 6 6 6 6 5 5 4 4 6 5 2 1 4 6 7 6 6 6 7 7 7 6 5 4 4 6 9 9 6 4 2 3 5 5 6 8 10 10 10 9 8 6 5 5 5 4 2 0 0 0 0 0 1 3 3 3 2 2 2 4 5 5 5 5 5 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 14 13 10 7 5 3 2 3 4 7 9 9 8 7 6 6 7 7 7 6 5 5 4 4 4 5 5 4 4 4 4 3 3 2 2 2 2 3 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 4 4 5 5 6 6 6 7 6 6 6 6 8 9 9 9 10 10 10 9 8 8 8 9 8 6 5 5 6 7 8 9 8 8 7 7 6 5 5 5 5 5 5 5 6 9 9 6 3 4 5 3 5 6 4 4 6 6 4 3 5 6 9 11 10 11 9 9 10 9 5 2 2 4 3 3 3 2 6 12 15 11 6 7 6 2 6 10 5 2 2 3 7 5 4 5 8 10 7 4 3 6 8 10 12 15 11 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 6 6 7 8 8 10 10 8 7 6 6 5 6 6 5 4 4 3 3 3 3 4 6 7 10 12 14 13 12 11 10 9 9 9 9 8 8 8 9 10 10 9 8 6 6 7 7 6 6 7 5 3 2 2 2 0 -1 0 1 2 2 2 2 3 5 7 7 6 6 6 6 5 4 5 4 4 5 5 5 4 3 4 5 8 9 11 11 9 7 5 3 2 1 1 1 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 7 8 7 5 6 7 7 6 5 5 5 6 7 5 5 5 5 6 7 5 3 3 6 8 6 3 5 5 6 6 6 7 7 7 6 6 5 5 4 5 9 11 8 8 6 4 4 4 4 5 7 9 10 11 11 10 8 6 4 2 0 -1 -1 -1 -0 0 2 3 3 3 2 1 1 2 4 5 6 6 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 9 10 10 8 6 6 4 2 2 3 6 7 7 7 5 4 5 6 7 6 6 5 5 5 5 5 6 5 4 4 3 3 2 2 2 2 3 3 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 9 10 10 10 9 8 8 8 8 7 7 6 5 5 6 8 9 9 8 7 6 6 6 5 5 5 5 5 7 9 10 10 6 3 4 5 6 5 6 5 5 6 4 3 6 8 7 6 8 11 13 13 11 11 9 5 3 2 3 2 4 5 4 6 9 11 7 4 5 2 4 9 11 4 3 4 3 1 3 7 10 11 10 6 3 2 5 5 7 12 14 9 5 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 4 4 5 5 5 6 6 7 5 5 4 5 6 7 7 8 9 9 8 7 7 6 6 6 6 5 4 3 3 3 2 3 4 6 8 9 11 14 16 16 16 15 13 12 11 10 11 9 8 7 8 8 9 7 6 5 5 6 6 6 8 7 6 5 5 4 2 -0 -1 0 2 2 2 2 2 4 5 6 6 6 6 6 6 5 5 5 4 4 4 5 4 2 1 1 3 6 8 9 10 9 8 7 5 4 2 1 1 1 2 3 4 4 5 4 4 4 4 4 5 4 4 3 3 3 3 4 6 9 11 9 7 7 7 6 5 4 5 6 6 5 4 3 3 5 8 7 4 3 5 7 6 5 6 6 5 6 6 7 7 7 6 6 6 4 4 4 7 11 10 9 10 7 5 3 2 2 3 5 8 10 12 12 11 9 6 3 2 -0 -1 0 1 1 2 4 4 3 3 2 0 1 2 4 5 6 4 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 5 5 6 6 6 7 7 5 2 2 3 5 7 7 5 4 4 4 5 5 5 5 5 4 4 5 6 5 5 4 3 3 2 2 2 3 3 3 2 1 0 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 6 7 8 7 7 7 8 8 8 9 10 10 10 9 8 7 7 7 8 7 6 5 5 7 8 9 9 8 7 6 6 5 5 5 5 5 5 9 13 14 12 9 6 4 5 6 7 7 7 6 6 5 5 9 11 8 3 2 7 12 13 12 10 8 4 2 3 4 3 3 5 5 5 7 8 3 -1 3 4 5 8 5 2 5 8 6 -0 1 7 12 14 10 5 2 1 2 4 6 11 12 7 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 7 7 6 5 4 4 5 6 7 8 9 9 8 8 7 7 6 6 5 4 3 4 3 2 3 3 4 5 6 7 8 9 10 12 12 13 13 12 11 11 10 9 9 8 6 5 6 6 6 6 8 9 11 11 11 11 9 8 6 6 5 2 1 1 1 2 2 2 2 3 5 5 5 5 5 6 6 6 5 5 5 4 4 5 4 2 0 -3 -6 -3 3 7 8 9 9 9 9 8 7 5 3 0 -0 0 1 2 4 4 4 3 3 3 4 3 3 1 1 1 2 3 5 9 12 9 8 7 6 4 3 4 5 6 7 5 4 3 2 4 8 8 5 4 4 4 4 5 6 6 6 6 6 7 7 7 6 6 6 5 4 3 4 7 8 10 10 7 5 4 2 1 1 3 5 7 10 11 12 11 9 7 6 4 3 3 3 4 4 4 4 4 4 3 2 1 0 1 2 3 3 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 4 3 3 2 4 5 8 8 5 3 2 3 5 6 6 5 4 3 3 4 4 4 3 3 2 3 4 5 5 5 4 3 2 2 2 3 3 2 1 1 -0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 6 6 7 7 8 8 7 8 8 7 8 9 10 10 10 10 9 8 7 7 7 7 6 5 5 7 8 9 9 8 7 7 6 5 5 5 5 5 5 8 14 12 7 7 6 2 1 2 3 7 9 8 4 4 6 9 11 9 5 1 4 9 12 12 10 7 3 1 3 6 5 3 3 5 5 5 5 1 -2 3 6 5 5 1 4 8 8 6 2 1 7 12 13 11 5 1 1 2 3 7 11 10 6 4 5 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 5 7 7 7 6 5 4 4 5 6 8 8 9 7 7 7 6 6 5 5 4 4 3 2 3 3 3 4 4 4 4 4 4 4 5 5 6 6 7 7 5 3 3 5 8 9 9 7 7 10 12 12 12 12 13 14 14 11 8 6 6 7 6 4 2 2 2 2 2 2 3 3 4 3 3 3 4 5 6 6 5 5 5 5 5 5 5 3 -1 -6 -8 -4 3 6 7 8 9 10 10 10 10 8 5 2 -1 -2 -1 -0 2 3 3 3 2 3 3 2 0 -1 -0 1 4 6 7 9 8 7 6 4 2 2 3 5 6 7 5 3 3 3 5 7 7 6 5 4 4 4 5 6 6 6 7 7 8 8 8 7 6 6 5 4 3 3 3 5 8 10 8 6 6 4 3 2 3 4 5 6 8 10 10 9 9 9 9 8 6 6 7 7 7 6 6 6 5 3 1 0 -0 -0 1 1 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 6 4 4 3 2 1 3 5 7 7 6 3 3 4 5 6 6 4 2 1 3 4 4 3 2 1 2 3 4 4 5 5 4 3 3 2 3 3 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 3 2 2 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 4 4 5 5 6 6 7 7 7 8 8 8 8 8 9 10 9 9 10 11 9 7 7 7 7 7 6 5 6 7 8 9 9 8 7 8 6 5 5 5 5 5 4 5 9 6 2 4 5 2 1 0 2 7 12 10 2 1 4 7 9 9 8 5 5 8 12 12 11 7 3 1 3 7 7 3 2 7 7 4 3 1 1 4 5 4 4 4 8 11 9 3 1 4 9 13 13 9 4 2 3 3 4 7 10 8 5 5 4 4 4 3 3 3 3 3 4 4 3 3 3 3 3 3 4 4 4 5 4 4 6 7 7 7 6 5 4 4 5 6 7 8 8 7 6 6 6 5 5 4 3 3 3 3 3 3 3 3 2 2 2 1 1 2 2 2 2 2 2 1 -2 -3 0 5 9 11 10 10 11 11 10 8 8 9 11 12 10 6 5 6 7 7 7 5 4 2 2 1 2 2 3 3 1 1 0 -1 -1 3 6 6 6 6 6 6 7 8 8 6 3 -0 -3 0 4 6 6 7 8 9 9 10 11 10 8 4 -0 -3 -4 -4 -3 -0 2 2 1 1 2 2 1 2 3 4 6 7 7 6 6 6 5 3 1 3 7 7 6 4 3 3 3 4 6 7 7 6 5 5 5 5 5 6 6 8 9 10 9 8 8 7 6 5 4 3 3 3 4 5 9 10 9 7 6 5 5 4 4 5 5 5 6 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 5 3 3 2 1 1 1 -0 0 -0 -0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 5 4 4 4 4 2 1 1 5 7 7 6 4 3 4 6 6 4 2 1 2 4 4 3 3 2 2 2 3 4 4 5 5 4 4 3 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 3 3 3 2 3 3 3 3 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 5 5 5 4 4 5 6 6 7 7 7 8 8 8 8 8 9 11 10 9 9 10 10 9 7 7 7 7 7 7 7 7 8 9 10 9 9 9 8 7 5 5 5 4 4 5 3 5 5 5 5 5 3 1 2 3 4 12 12 1 -1 1 4 6 8 10 10 8 8 11 13 11 8 4 2 4 7 7 4 2 6 7 4 4 4 3 2 3 3 5 8 11 11 9 4 2 6 11 13 11 7 3 2 2 4 7 9 10 8 5 5 5 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 4 5 5 4 4 4 5 7 8 7 6 5 4 4 5 6 7 7 6 6 6 5 5 4 3 3 3 3 2 2 2 2 1 1 1 1 0 0 1 2 3 4 4 4 3 1 -1 -1 3 6 7 8 8 6 6 6 7 6 6 6 7 7 5 4 4 4 5 6 6 5 4 2 2 2 3 4 4 2 -1 -2 -4 -7 -6 1 6 7 7 6 7 7 9 11 12 9 6 6 3 3 5 5 5 5 6 7 7 9 10 10 10 7 2 -3 -7 -10 -9 -6 -3 -2 -1 2 4 4 5 6 5 6 6 6 5 5 7 6 4 1 2 8 8 6 5 4 4 4 3 5 7 7 6 5 6 5 4 4 5 6 8 11 12 11 10 8 7 7 6 5 4 4 4 4 4 6 8 8 8 7 6 6 6 5 6 6 5 4 5 7 7 9 11 12 11 10 10 9 9 9 10 11 13 13 12 11 8 4 2 2 2 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 4 5 5 3 1 2 5 6 7 6 4 4 6 6 3 2 1 2 2 3 3 2 3 2 2 3 3 4 4 5 5 4 4 5 4 4 4 4 3 3 3 3 3 3 2 2 2 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 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 5 5 5 6 7 7 7 7 8 8 8 9 9 10 12 10 8 7 8 9 8 7 6 7 7 7 7 7 8 9 10 10 10 10 9 8 7 5 4 4 3 3 4 4 4 7 11 7 4 5 3 7 6 3 12 13 4 -0 1 2 4 7 10 10 8 6 9 12 11 7 4 5 6 6 5 4 3 4 6 4 5 7 5 2 3 4 8 10 10 10 9 7 6 8 11 12 9 5 1 1 3 6 9 11 11 8 5 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 6 7 8 8 6 4 3 4 5 5 5 5 5 4 4 4 3 2 2 1 1 1 0 0 -0 0 0 1 1 1 1 2 3 5 6 6 7 7 6 4 2 3 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 5 4 4 3 4 6 7 7 4 2 0 -4 -7 -6 0 6 7 6 7 7 8 10 13 12 8 6 4 3 3 4 3 2 3 3 3 4 5 6 7 9 8 5 -2 -8 -11 -9 -5 1 3 3 3 4 4 4 5 4 4 5 5 5 6 6 6 1 -2 4 7 5 5 5 5 5 4 4 5 6 5 6 6 6 5 5 5 6 7 10 13 13 11 10 8 8 6 5 5 5 5 5 4 4 6 7 8 7 7 6 7 6 6 7 8 6 6 7 7 8 10 11 11 10 10 9 9 10 13 16 20 28 31 22 14 8 4 4 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 2 2 3 6 7 6 4 2 2 4 5 6 5 5 6 6 4 2 1 2 2 1 2 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 9 10 10 11 12 10 7 6 7 7 7 6 6 6 6 7 7 8 9 10 11 11 11 10 9 8 6 4 4 3 3 4 4 4 4 8 11 8 3 5 7 8 5 6 14 13 7 5 4 2 4 7 8 6 6 3 5 11 11 6 3 3 5 5 5 4 4 5 7 5 4 6 8 5 4 5 9 11 9 6 7 8 8 8 11 11 7 4 2 2 5 7 8 11 11 7 5 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 4 4 4 5 6 7 8 7 5 3 3 4 3 3 3 3 3 2 2 2 1 1 0 -0 -1 -1 -0 -0 0 1 2 3 3 3 4 4 5 6 6 7 7 7 5 4 4 4 4 5 5 6 6 4 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 5 6 9 11 11 9 7 5 -0 -4 -4 1 4 4 4 5 6 7 8 9 7 3 2 2 2 2 1 -0 -1 -1 -2 -2 -1 -1 -1 2 7 8 7 6 3 3 4 6 6 5 4 4 3 4 5 4 5 5 5 5 6 7 8 5 -0 1 5 4 4 4 5 5 4 4 4 5 5 6 7 7 6 5 4 4 6 8 11 12 12 11 10 9 8 7 6 6 6 6 5 5 5 6 6 7 8 7 7 6 6 7 8 7 7 7 7 8 8 9 10 10 10 8 8 10 13 18 23 31 36 27 16 9 6 6 7 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 3 4 3 2 3 5 7 8 8 5 2 2 2 4 5 6 7 7 6 3 2 3 2 2 1 2 2 2 2 2 2 2 3 3 3 2 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 4 3 2 2 3 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 3 4 5 5 4 4 4 5 5 5 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 7 7 8 9 9 10 11 12 12 12 11 9 8 7 6 5 5 5 5 5 5 6 7 9 10 12 13 12 12 10 9 7 5 4 4 3 2 4 5 5 6 8 9 7 3 5 7 3 2 7 13 11 6 7 6 4 5 7 7 4 4 3 3 8 10 6 1 1 3 4 4 3 3 5 7 6 3 4 6 6 4 5 8 11 9 4 5 8 8 7 9 9 6 3 3 4 5 6 8 11 9 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 5 4 4 4 5 5 5 6 7 6 5 4 4 3 3 2 2 2 2 2 2 1 1 0 -0 -0 -0 1 1 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 8 10 11 11 9 4 -0 -4 -3 -0 -0 -0 1 4 5 4 5 3 2 2 2 2 1 -1 -2 -3 -4 -4 -3 -4 -3 -1 1 4 8 11 13 13 11 8 6 6 6 5 5 4 5 5 7 6 6 6 5 4 7 9 8 6 4 5 4 3 4 6 7 5 4 3 4 5 6 7 7 6 5 4 4 4 6 8 10 11 12 11 10 10 8 7 6 7 7 6 5 4 6 7 8 8 8 7 6 6 7 6 6 7 6 7 7 7 8 9 10 9 8 7 8 12 15 19 21 22 20 14 9 7 8 7 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 3 3 3 3 2 3 3 4 6 8 8 6 3 2 2 3 4 5 7 7 5 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 3 3 4 4 5 4 4 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 4 4 4 4 4 4 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 5 5 6 5 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 7 8 8 9 11 13 13 13 12 12 10 9 8 6 5 4 4 4 5 5 5 6 8 9 11 13 14 14 12 10 8 6 5 4 4 2 1 3 5 6 9 9 8 6 3 4 5 5 7 6 4 5 4 6 6 6 8 8 6 4 6 6 3 5 8 6 3 1 0 2 4 3 2 4 6 5 2 2 4 5 4 4 6 10 8 5 6 7 7 7 9 8 4 4 4 4 4 6 8 10 8 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 3 2 2 2 2 2 2 2 1 1 2 3 3 3 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 8 7 7 6 6 5 5 6 8 12 12 7 1 -1 -1 0 1 -0 -1 -0 2 3 3 2 2 3 3 3 2 0 -0 -2 -2 -0 1 1 3 5 6 6 7 8 9 9 8 5 3 5 8 7 6 6 8 8 7 7 8 8 7 4 4 7 7 7 6 5 4 3 4 7 9 9 6 4 4 5 6 7 7 6 5 4 4 4 5 7 8 10 12 12 12 10 9 7 6 6 7 7 5 3 5 7 8 9 9 8 7 6 6 6 6 6 6 6 6 7 7 8 9 9 7 5 6 8 10 11 11 8 9 10 9 6 6 6 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 nan 2 2 2 2 2 2 3 2 3 5 8 9 7 5 2 1 1 3 5 6 5 5 5 5 4 4 3 2 2 2 3 3 3 2 2 2 3 3 2 2 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 7 8 8 9 10 12 14 15 14 12 11 10 9 7 5 4 4 4 4 4 4 5 5 7 10 12 13 14 14 12 10 7 6 5 4 3 2 2 3 4 6 8 8 7 4 3 3 5 11 19 9 -5 -4 3 5 5 9 12 8 5 4 6 8 3 4 6 6 3 0 -1 3 6 2 -0 2 4 3 2 3 4 4 3 3 6 9 8 8 10 7 5 8 12 8 4 3 4 4 4 6 8 10 8 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 5 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 6 6 5 4 5 6 11 16 14 7 3 2 3 5 4 3 0 -1 -0 1 2 2 3 5 6 6 4 4 5 5 5 6 7 8 8 7 5 4 4 4 4 5 6 5 6 10 12 10 9 9 10 9 8 7 7 7 5 3 4 6 6 6 5 5 4 4 7 12 13 9 5 4 5 7 8 7 6 6 5 4 4 5 6 8 9 10 12 11 10 9 8 6 6 7 8 8 5 4 7 9 10 10 9 7 6 6 6 5 5 5 5 6 6 6 7 8 9 8 5 4 4 6 6 4 3 5 7 8 6 3 3 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 1 0 1 2 2 2 1 1 2 5 9 9 8 4 1 0 2 4 5 5 4 4 4 5 4 3 3 2 2 3 3 2 2 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 4 4 5 6 5 5 5 5 5 6 7 8 8 8 9 11 15 16 15 14 12 10 9 8 7 5 4 3 3 3 4 4 4 5 7 9 12 14 14 13 11 8 7 6 5 4 3 2 2 3 4 6 7 8 5 4 4 3 4 13 24 13 -4 -6 1 4 4 10 14 9 4 3 6 9 6 4 5 5 3 -0 0 7 9 3 -2 1 4 3 4 5 4 2 2 3 6 8 8 11 13 8 6 10 12 8 3 3 4 4 4 4 8 11 8 5 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 6 5 4 4 4 3 3 3 4 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 5 5 6 5 5 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 6 8 12 16 15 9 5 4 4 5 5 2 1 -0 -1 0 1 3 4 6 8 8 8 9 8 7 7 7 6 6 6 4 2 1 2 3 4 7 8 9 13 15 13 9 7 8 7 6 4 4 6 6 4 5 6 6 6 6 6 5 4 7 12 14 10 5 4 5 6 8 8 7 7 5 4 4 5 6 7 8 9 10 10 8 7 7 6 6 7 7 9 8 7 8 10 11 11 9 8 6 6 5 5 5 4 5 6 6 6 7 8 8 8 6 4 3 4 4 2 2 3 4 5 6 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 1 2 1 1 1 2 2 2 1 -0 -0 2 6 8 8 6 3 2 2 4 4 4 4 3 3 4 4 3 3 2 2 2 2 2 1 1 2 3 3 3 3 4 4 4 4 4 4 4 5 5 4 4 3 3 4 4 4 4 4 5 5 5 5 4 4 5 4 4 4 5 4 4 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 6 8 8 8 8 10 15 19 18 14 11 10 8 7 7 6 5 3 3 3 4 4 4 4 5 7 9 11 14 14 12 10 7 6 6 5 4 3 3 4 4 4 6 8 7 5 5 5 3 2 6 14 12 4 -0 2 4 4 9 11 8 5 3 6 9 8 5 4 4 1 -1 2 8 9 3 -1 1 6 7 7 6 3 1 2 4 6 6 6 10 12 9 8 12 11 7 3 3 4 3 3 4 6 10 8 4 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 5 6 6 5 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 5 5 6 7 8 11 15 15 10 8 7 4 3 3 3 3 1 1 0 -1 -0 1 3 4 5 6 6 7 7 7 6 5 5 5 3 1 1 3 4 6 7 8 11 12 8 5 4 4 3 3 3 4 5 6 6 6 6 6 6 5 6 6 5 6 8 11 9 7 5 5 6 7 8 8 7 6 5 4 5 6 7 8 8 8 9 8 5 6 7 7 7 7 7 7 8 8 10 11 11 9 8 7 7 6 6 5 4 5 6 7 7 6 6 8 8 6 5 5 5 5 4 3 3 3 5 5 4 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 1 2 2 3 3 3 1 0 -0 -0 1 3 4 5 6 5 4 4 5 5 4 4 3 3 2 3 3 3 3 2 1 1 1 1 1 2 2 3 3 4 4 4 5 4 5 4 4 5 5 5 4 4 4 4 5 5 5 5 6 6 6 5 4 4 4 4 4 4 4 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 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 7 8 9 8 8 13 21 23 16 10 8 7 6 5 5 6 5 3 3 4 4 4 4 5 5 6 8 11 13 13 11 9 7 6 5 4 3 4 5 5 4 4 6 8 7 5 7 7 1 1 3 6 9 6 4 8 10 6 5 6 6 5 4 5 8 9 6 5 4 -0 -2 3 8 7 2 0 4 9 10 10 8 4 2 3 5 6 5 4 8 10 10 11 11 9 6 4 3 4 4 3 5 8 11 8 5 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 4 3 3 4 4 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 4 5 5 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 10 15 15 14 13 11 8 5 4 4 4 4 2 1 -1 -0 0 1 2 4 6 6 6 6 5 5 5 6 6 3 3 3 4 6 7 8 6 5 4 3 4 3 3 3 4 4 5 5 6 6 6 6 6 5 5 6 6 5 5 6 7 7 5 5 6 6 7 8 8 7 5 4 4 5 6 7 7 8 9 11 9 6 7 6 6 7 6 7 7 8 10 11 10 8 7 7 8 8 7 6 5 5 6 7 7 7 6 7 8 7 6 6 6 6 7 7 6 7 7 5 5 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 2 3 4 4 3 2 0 -0 1 1 1 2 2 3 4 5 6 6 5 4 4 3 3 2 2 3 3 3 2 1 1 1 1 2 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 7 6 5 5 5 5 6 8 9 9 8 11 22 29 20 10 6 6 5 4 3 4 4 4 4 3 4 5 5 4 5 5 6 8 10 11 11 9 8 7 5 4 3 3 4 4 4 3 5 7 6 6 5 8 7 1 1 4 6 5 2 3 11 13 8 4 4 4 4 4 4 8 12 8 6 4 -0 -3 2 7 6 1 1 6 10 8 8 9 6 3 3 5 7 6 5 8 10 12 13 10 8 6 4 3 4 4 3 6 11 12 8 5 4 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 6 6 6 5 5 4 5 4 4 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 6 6 7 10 12 13 15 16 15 12 10 9 7 7 7 6 4 3 3 4 5 5 6 6 5 5 5 5 5 6 7 7 5 4 5 8 9 7 4 3 4 4 4 4 4 4 4 4 5 5 6 6 7 6 5 5 5 6 6 6 5 4 5 6 5 4 5 6 6 7 8 9 6 4 4 5 6 6 6 7 9 11 10 8 7 6 6 6 6 6 6 7 9 10 10 8 7 7 8 9 9 8 6 5 5 6 7 7 7 7 8 8 7 7 6 6 6 7 8 8 8 7 6 6 6 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 2 2 3 3 4 3 2 1 0 1 2 1 1 1 1 3 5 5 6 5 5 4 3 3 2 2 2 3 3 2 2 2 2 2 2 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 5 4 4 3 3 3 2 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 2 3 3 3 4 4 3 3 3 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 7 7 6 5 5 5 6 9 10 10 10 16 30 25 5 2 5 4 3 2 1 2 3 4 4 4 5 6 6 5 5 6 7 8 9 9 9 9 8 6 5 4 4 5 4 3 4 4 6 8 6 6 5 6 5 2 2 4 6 4 0 2 7 10 9 7 6 4 5 6 5 8 12 11 8 5 -0 -4 1 7 5 -0 -0 6 8 4 4 8 7 4 5 6 7 7 7 6 7 14 16 10 7 5 4 4 5 5 5 9 13 13 8 6 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 6 6 7 8 10 13 16 16 15 14 13 12 12 9 6 5 6 6 7 8 8 8 7 8 9 8 9 8 7 9 7 5 5 7 7 5 3 4 5 6 6 4 3 3 3 4 5 5 5 6 6 6 6 6 6 5 6 6 6 4 4 5 5 4 4 4 5 6 7 9 8 6 4 4 5 5 5 7 9 10 9 8 7 7 6 5 5 5 5 6 8 9 10 9 8 7 8 9 10 9 7 6 5 6 7 7 8 7 8 9 9 8 6 5 5 6 6 5 7 8 8 8 8 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 6 5 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 5 4 4 3 3 3 2 1 2 2 2 2 3 3 4 3 3 3 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 5 4 4 4 3 3 2 3 2 2 2 1 1 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 3 3 2 2 3 3 3 4 4 3 3 4 4 5 5 4 4 4 4 5 5 5 5 5 5 6 7 8 6 5 5 6 7 9 11 12 13 20 25 8 -8 -2 6 3 0 -2 -1 0 2 4 5 6 7 7 7 6 6 6 6 7 8 9 9 8 7 6 5 5 6 6 4 2 4 6 8 8 4 4 7 6 3 3 4 5 8 6 2 2 3 5 9 11 9 6 7 9 8 8 12 13 10 8 4 0 2 5 4 1 0 4 5 2 3 7 5 4 8 7 3 6 9 4 4 18 20 12 6 2 1 3 8 11 9 9 14 14 8 6 4 4 3 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 5 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 3 3 4 4 3 3 3 3 4 5 4 4 5 5 5 5 5 5 5 5 4 4 3 3 4 4 5 6 6 6 6 6 7 6 5 6 5 6 5 5 4 4 4 5 5 5 5 6 6 7 9 11 13 13 13 13 11 11 13 12 10 10 9 10 10 11 12 12 12 14 13 13 12 9 7 6 5 4 5 6 4 3 3 5 6 5 4 3 3 3 4 5 5 5 5 5 6 6 6 5 5 6 6 6 6 5 5 5 4 3 3 4 5 6 8 9 7 4 3 4 4 4 5 6 8 8 7 6 6 5 5 5 5 5 5 6 8 10 10 10 9 9 8 8 8 8 7 6 7 7 8 8 7 7 8 10 10 7 6 6 5 4 4 4 5 7 8 8 7 6 5 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 7 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 2 2 2 2 2 2 2 3 4 4 4 4 4 4 4 6 6 6 6 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 5 5 4 4 5 5 4 4 3 2 2 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 5 4 4 5 5 5 5 6 7 8 7 6 5 6 8 10 11 13 16 19 16 1 -8 -3 3 1 -3 -5 -4 -1 2 4 6 8 9 9 8 8 7 6 6 7 8 9 8 8 6 5 5 6 7 6 4 2 4 7 9 9 2 2 10 10 8 8 6 6 8 6 5 6 5 6 10 12 10 8 8 8 8 8 9 10 11 11 10 6 3 3 3 2 3 6 4 1 3 6 3 5 10 8 1 2 7 3 5 18 21 12 4 -3 -3 1 11 20 14 10 13 12 8 6 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 7 8 9 9 8 7 8 10 13 13 13 12 11 9 8 9 10 10 11 12 11 11 9 7 5 4 4 4 5 4 3 3 3 3 3 2 2 2 3 4 4 5 5 5 5 5 6 6 6 6 6 6 7 6 5 4 4 4 3 3 3 3 5 8 10 9 4 3 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 4 5 6 9 11 12 12 11 10 8 7 7 7 7 7 8 9 9 8 6 6 9 10 8 7 6 5 5 4 3 3 4 5 6 6 6 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 7 6 6 6 6 5 5 5 4 4 4 4 4 3 4 4 4 3 3 3 3 4 4 4 4 4 3 2 2 3 3 2 2 3 3 4 4 4 4 4 4 5 5 6 6 6 5 5 5 6 6 5 4 4 3 3 4 4 5 4 4 4 5 6 6 6 6 6 5 4 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 5 4 5 6 7 8 8 7 6 6 6 8 11 12 15 19 19 11 -3 -8 -5 -3 -2 -5 -7 -4 0 3 6 7 8 9 9 9 9 8 8 7 7 8 8 7 6 5 5 6 6 6 6 6 4 4 8 11 9 3 4 9 12 14 14 7 3 5 4 7 10 7 7 10 13 12 11 9 8 7 8 8 8 9 11 11 8 5 2 2 3 7 8 3 0 1 3 2 4 9 10 4 2 5 4 7 16 18 10 3 -4 -6 -1 11 23 19 13 15 11 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 4 3 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 6 7 7 7 6 6 6 7 9 9 9 7 5 5 5 5 5 5 6 7 8 8 8 7 5 4 4 4 4 3 3 2 2 2 2 1 2 2 3 4 4 4 4 5 5 6 6 6 6 6 6 7 6 6 5 5 4 4 3 3 2 3 6 9 10 6 3 3 3 3 3 3 4 4 5 5 4 4 5 5 5 5 4 4 4 7 10 13 14 15 12 9 8 7 7 7 8 9 10 10 8 6 5 6 7 7 6 6 5 4 4 4 3 3 3 3 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 7 6 5 5 5 5 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 3 3 4 5 4 4 3 4 3 2 2 2 3 3 3 3 3 4 4 4 4 5 6 5 4 4 5 6 6 5 4 3 3 3 3 3 3 3 3 4 5 6 7 7 6 6 6 5 5 4 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 5 5 6 8 9 7 6 6 6 7 9 12 15 18 22 21 10 -3 -8 -8 -7 -3 -5 -5 -1 3 6 7 8 8 9 9 9 10 10 9 8 7 8 8 7 6 6 6 7 6 4 4 5 8 7 6 6 5 4 4 8 10 13 16 8 -2 -0 4 8 9 7 5 8 12 13 13 11 9 9 9 7 5 6 7 6 5 6 4 1 5 9 6 5 6 2 3 4 3 5 9 10 9 12 13 9 13 18 13 3 -5 -8 -0 14 23 18 13 17 12 7 6 5 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 4 5 5 5 4 4 4 5 6 6 6 4 4 4 4 5 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 7 7 6 6 6 7 6 6 6 5 5 5 4 5 3 3 4 4 4 4 4 5 6 7 8 8 8 7 5 5 5 5 4 4 4 4 3 3 2 2 2 3 3 4 3 3 3 5 6 6 6 6 7 7 7 6 6 5 5 5 4 3 3 2 2 3 6 8 7 4 3 2 3 3 3 3 3 4 4 4 4 3 4 5 5 4 4 4 6 9 13 17 18 16 12 8 7 8 8 9 10 11 10 9 6 5 5 6 6 6 5 5 4 4 4 4 3 3 3 3 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 6 4 4 4 4 4 4 3 4 4 4 4 4 5 5 4 4 5 4 3 3 3 4 4 4 4 5 4 3 2 2 2 2 1 1 2 3 3 4 4 5 5 4 4 3 4 5 5 5 4 3 2 3 3 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 3 3 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 4 4 5 5 6 7 8 8 6 6 6 7 8 11 15 18 21 23 23 15 3 -6 -10 -8 -4 -4 -2 2 6 8 8 8 8 9 8 9 11 12 11 8 7 8 8 8 7 6 7 7 6 5 3 2 6 8 6 1 -1 3 5 8 7 6 12 12 -2 -5 2 8 11 8 5 5 10 15 16 13 12 11 10 7 4 3 3 1 0 3 3 1 5 5 1 10 14 6 5 4 2 3 6 9 15 22 22 13 16 26 18 3 -6 -8 2 16 20 14 13 19 14 7 6 5 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 3 4 4 4 4 5 4 3 3 4 4 4 4 4 4 4 5 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 6 5 5 6 5 5 5 4 4 4 4 5 5 5 4 4 4 5 6 7 6 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 8 8 7 6 6 5 4 4 5 5 5 5 4 3 4 4 3 3 2 0 1 4 5 6 6 6 7 7 7 6 6 5 5 5 4 4 3 2 2 2 3 5 6 5 4 3 2 3 3 3 4 4 4 4 4 3 3 3 4 5 5 4 5 8 13 19 21 19 14 9 8 8 9 9 10 11 10 9 8 6 6 6 6 6 6 6 4 4 4 4 5 5 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 7 7 7 6 6 5 4 3 3 3 3 3 4 4 4 5 6 5 6 6 4 3 2 2 3 2 3 4 5 4 3 3 2 2 2 0 -0 1 2 3 4 4 5 5 4 3 3 3 4 5 5 4 2 1 1 2 2 3 3 3 4 4 4 4 4 5 6 7 6 6 7 7 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 6 6 5 5 6 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 5 6 7 8 7 6 6 7 7 10 16 21 20 17 17 19 14 6 -3 -8 -7 -4 -1 2 5 8 8 8 8 8 8 8 9 11 13 13 10 7 7 9 9 7 6 6 6 6 9 9 5 1 4 8 5 -1 3 7 9 7 3 6 11 5 -4 -2 6 10 10 7 5 9 15 17 14 13 10 8 7 5 2 0 -1 -0 0 1 2 4 2 0 14 19 9 4 2 2 3 4 6 14 20 18 17 29 35 22 5 -5 -5 4 14 15 12 14 21 16 6 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 3 3 3 4 4 5 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 6 6 6 6 6 5 4 4 4 4 5 5 5 4 4 4 4 5 6 7 6 4 4 4 5 5 5 4 4 3 4 4 4 4 4 5 5 4 5 4 4 4 5 5 5 6 6 6 7 7 7 7 7 6 5 5 5 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 6 6 7 7 7 7 6 6 5 5 6 6 6 6 5 5 4 4 4 2 1 0 1 1 3 5 6 7 7 7 7 6 6 6 6 5 5 4 3 3 3 2 2 3 4 5 5 4 3 2 2 2 3 4 4 4 5 4 3 3 3 4 5 5 5 8 13 18 22 20 15 10 8 8 9 10 10 10 10 9 9 8 7 6 6 7 7 6 6 6 5 6 6 6 5 4 4 4 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 6 6 6 6 6 6 5 4 4 3 3 4 4 5 6 6 6 6 6 6 4 3 3 3 3 2 3 4 4 4 3 2 2 1 1 1 1 2 3 3 4 4 4 4 3 2 2 3 4 4 3 2 1 1 1 2 2 2 2 3 3 3 2 2 3 4 5 6 6 7 7 7 7 7 6 5 5 5 4 5 4 4 4 4 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 5 5 5 6 8 8 6 6 7 8 10 16 25 25 15 8 8 11 8 3 -3 -5 -3 -1 3 6 7 7 7 8 8 8 8 8 10 11 13 14 11 8 7 9 7 5 4 4 4 5 9 11 9 5 4 5 4 2 4 8 10 10 8 6 7 7 3 -1 2 8 11 10 8 9 13 15 14 10 6 5 7 6 4 1 1 2 1 2 5 5 0 2 14 17 8 3 1 2 1 -1 1 8 11 12 23 38 37 21 6 -2 -2 5 11 13 11 13 21 17 6 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 3 4 4 4 5 4 4 4 4 4 4 5 6 6 5 4 4 5 5 5 5 4 3 4 4 3 3 4 4 4 4 5 5 5 5 4 5 5 5 6 6 5 6 7 7 7 7 6 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 4 5 5 5 6 7 7 6 6 6 6 6 7 7 7 7 6 5 4 3 2 3 4 3 -1 1 5 6 7 7 7 7 6 6 6 6 6 6 6 5 4 3 3 3 3 3 5 6 6 4 3 2 2 3 3 4 4 5 5 4 3 3 3 4 6 6 8 11 16 20 19 14 10 8 8 8 9 9 10 9 9 8 8 7 7 6 6 8 8 8 8 8 8 8 7 6 5 5 5 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 5 4 4 5 6 6 6 5 4 4 5 5 6 6 6 6 6 6 7 6 5 4 4 4 3 3 4 5 4 4 3 3 2 2 2 2 2 2 3 3 4 4 4 4 3 2 3 4 4 4 2 1 1 0 1 1 1 2 2 2 1 1 1 1 2 3 4 5 6 6 6 6 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 4 5 4 5 5 6 7 8 8 6 6 8 10 14 24 29 22 8 3 4 7 3 -4 -5 -2 2 4 6 6 6 6 7 7 7 8 9 9 10 12 14 15 13 8 5 4 2 2 2 2 2 3 4 7 7 8 6 -0 -1 4 7 9 11 13 13 11 8 7 6 6 6 10 13 12 10 9 10 12 11 5 4 8 9 8 6 5 6 7 3 3 7 6 0 1 9 10 6 3 -1 -2 -1 -5 -7 -0 7 11 26 40 34 17 5 -1 1 6 10 11 10 12 19 18 7 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 4 5 5 4 4 4 4 4 4 5 5 5 6 5 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 4 4 4 5 5 5 5 4 4 3 4 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 6 5 6 6 6 7 6 6 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 6 6 6 6 5 6 6 7 7 7 7 6 5 3 3 3 5 9 7 2 2 5 6 6 7 7 7 7 7 7 6 7 7 7 6 6 3 3 4 4 4 5 6 7 5 4 3 3 3 3 3 4 4 5 5 4 3 3 4 5 6 7 9 13 16 16 13 10 8 8 8 9 9 9 8 8 7 6 6 5 5 6 7 8 9 10 10 10 11 10 8 6 5 6 5 3 2 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 2 3 3 3 4 5 6 6 6 6 6 5 5 6 5 5 6 6 7 7 7 6 5 4 4 4 5 5 5 5 5 5 4 3 3 3 3 2 2 3 3 4 4 5 4 4 4 4 5 4 4 3 2 1 0 -0 0 1 1 1 1 0 -0 0 1 2 3 4 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 6 6 5 5 5 4 5 5 5 6 6 7 8 8 7 8 11 14 19 26 26 14 4 4 4 2 -3 -8 -2 3 6 6 6 6 5 6 6 7 7 9 10 10 11 13 15 16 13 8 4 1 -1 -1 2 1 3 4 1 3 5 6 2 -1 0 5 8 9 11 12 14 15 12 9 8 10 11 11 13 12 10 9 9 11 6 -1 7 16 14 9 6 8 10 10 4 2 7 7 0 -0 5 8 8 5 -3 -9 -1 1 -6 -5 3 11 25 37 30 16 6 2 3 5 7 9 10 14 19 15 7 5 4 5 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 3 3 4 4 5 5 4 4 4 4 4 5 5 5 6 5 5 5 5 4 5 4 4 4 3 4 4 4 4 5 4 4 4 4 4 4 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 5 5 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 6 4 3 3 4 8 13 9 4 4 5 6 5 6 6 7 7 7 7 7 7 7 8 8 8 5 2 3 4 5 5 6 6 5 5 5 4 3 3 3 4 4 4 5 5 4 3 3 4 5 6 8 11 13 14 13 11 9 8 8 8 7 7 7 6 6 5 5 5 5 5 6 8 8 9 10 11 12 13 11 8 6 7 7 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 3 3 3 3 3 4 4 5 6 7 6 6 5 4 4 4 5 5 6 7 7 6 6 6 5 5 4 4 4 5 6 6 6 6 5 5 4 3 3 3 3 3 3 4 4 5 5 6 5 5 5 5 5 4 3 1 1 0 0 1 1 1 1 0 -0 0 1 2 3 3 4 5 5 5 6 6 6 6 6 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 5 6 6 8 9 8 8 11 13 15 18 20 17 8 3 5 3 -1 -3 -1 3 6 6 5 4 4 4 5 7 7 8 9 11 12 12 14 16 16 12 7 4 1 -2 -1 3 2 4 6 2 3 6 4 2 1 3 4 5 9 12 10 10 13 13 11 10 10 11 12 13 10 8 8 11 12 2 -7 8 22 19 10 5 6 9 9 4 1 4 6 2 1 4 10 12 10 -0 -9 -3 7 5 4 5 13 26 31 25 15 8 3 2 3 6 8 10 14 19 14 6 5 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 3 3 4 5 5 5 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 4 5 5 5 5 4 4 3 3 3 4 4 5 5 5 5 5 4 4 5 4 4 4 3 4 5 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 5 4 4 5 5 4 4 4 5 6 6 6 6 7 6 5 4 3 4 6 9 12 9 5 4 5 5 5 5 5 5 6 6 6 7 7 8 8 9 11 8 3 4 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 5 4 3 3 4 6 8 9 11 13 13 12 11 10 9 8 6 6 6 5 5 5 5 5 5 5 6 7 7 7 8 10 13 15 13 11 9 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 4 4 4 4 5 4 5 6 6 6 5 4 3 3 4 5 6 7 7 7 7 7 6 5 4 3 4 4 5 6 6 6 6 6 5 5 4 3 3 4 3 3 4 4 5 6 7 7 7 6 5 5 5 4 3 2 1 1 2 2 2 1 1 0 0 1 2 3 3 3 4 4 5 6 6 6 6 5 6 6 5 5 5 5 4 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 5 5 6 6 6 10 11 8 10 12 12 13 14 14 11 4 2 4 3 1 3 5 5 5 4 3 3 3 4 5 7 8 9 11 12 13 13 15 17 17 12 7 4 3 2 3 5 4 6 7 5 4 5 4 3 2 3 3 5 10 11 8 6 9 12 11 11 10 10 13 13 9 5 4 12 16 4 -7 5 21 19 10 4 2 4 6 4 2 3 5 4 3 5 11 13 11 5 -3 -4 7 15 18 14 17 26 26 19 11 6 2 1 3 6 8 9 14 19 14 6 5 5 5 5 5 6 5 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 4 5 5 5 6 6 6 5 5 5 5 4 4 3 4 5 5 5 3 3 3 3 4 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 4 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 6 6 6 7 7 6 5 4 5 7 9 9 8 9 7 5 4 4 3 4 4 4 5 5 5 6 6 7 7 8 10 9 6 6 6 6 5 5 4 4 4 5 6 7 6 5 5 5 5 5 5 5 4 4 2 3 5 7 9 10 12 13 13 12 11 10 9 7 6 5 5 5 4 5 5 6 6 6 6 6 6 6 8 11 14 15 14 12 10 9 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 6 5 5 5 5 4 4 4 5 5 4 5 5 6 6 5 5 4 3 3 4 5 6 6 6 7 7 6 6 5 4 3 3 3 4 5 5 6 6 6 6 5 4 4 4 4 3 3 3 3 5 7 8 7 6 6 6 7 6 5 4 3 3 4 4 3 2 2 1 -0 0 2 2 3 3 2 3 4 4 5 5 5 5 5 5 4 4 4 3 3 3 2 2 2 2 3 3 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 6 7 10 12 9 10 11 9 10 12 12 11 7 5 4 4 5 6 6 5 4 3 3 2 3 4 5 6 8 11 13 14 15 15 16 18 17 12 8 6 7 7 7 5 5 6 9 8 3 2 3 5 2 2 4 7 10 9 5 2 3 6 10 13 14 13 13 14 10 2 -1 9 20 11 -1 4 17 16 8 2 1 3 5 4 4 6 6 5 5 7 8 8 9 7 2 -3 3 16 24 20 18 18 13 8 7 3 0 3 5 7 8 10 14 18 12 5 5 5 5 5 6 5 5 5 5 5 5 4 4 5 4 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 5 5 5 5 5 6 6 6 6 6 5 4 4 3 4 5 5 4 3 3 3 3 4 4 4 4 5 4 4 4 4 5 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 3 2 1 1 3 4 5 6 7 6 6 6 6 7 7 7 7 7 8 9 8 6 6 6 5 4 3 2 2 2 3 3 4 4 5 5 5 6 7 8 8 8 8 7 7 6 5 5 4 3 4 5 7 7 6 5 5 5 5 5 5 5 4 3 3 4 6 7 9 11 14 15 14 12 10 9 8 7 5 5 4 4 4 5 5 5 5 6 6 6 7 7 8 10 13 14 15 13 11 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 5 3 3 4 4 5 5 6 6 6 6 6 5 4 3 3 3 3 3 5 5 6 6 6 5 4 4 4 4 3 3 3 4 5 6 7 7 7 7 6 6 5 5 5 5 6 6 5 4 2 2 1 0 1 2 2 2 2 2 3 3 3 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 6 6 7 9 11 12 10 8 8 8 10 12 13 15 15 9 3 4 5 5 4 3 3 3 3 3 3 4 6 7 9 13 15 16 17 16 18 18 16 11 8 7 6 6 5 3 3 6 10 10 5 2 3 3 1 4 8 9 6 3 -0 -3 -2 0 4 9 12 12 13 16 14 4 -4 5 20 19 9 9 16 12 3 0 4 6 4 2 6 12 9 6 10 10 5 5 7 6 4 -3 -5 7 23 23 14 5 -3 -1 3 1 3 9 9 8 10 11 13 16 12 5 5 5 5 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 3 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 3 3 3 4 5 5 5 5 4 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 4 5 5 6 7 7 7 6 6 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 3 3 3 3 3 2 1 -0 -1 2 4 5 7 8 7 6 5 5 7 8 8 9 11 10 9 8 6 5 6 6 4 3 2 1 1 2 2 3 3 3 4 4 4 5 6 7 7 8 8 8 8 6 5 5 4 3 4 5 6 6 6 6 6 5 5 4 5 4 4 3 3 4 7 8 10 13 15 15 13 10 8 8 7 6 5 4 4 3 3 4 4 5 5 5 6 7 8 7 8 8 10 13 14 15 13 10 6 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 4 4 4 5 6 7 7 7 6 5 3 2 2 3 4 5 5 6 6 6 6 6 4 3 2 1 2 3 4 6 6 6 5 5 4 4 4 4 4 4 4 4 6 7 8 9 8 6 5 5 5 5 6 7 7 7 5 4 3 2 1 1 1 1 1 1 1 2 3 3 3 4 4 4 3 3 3 2 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 4 5 5 5 4 5 6 6 6 7 10 11 12 11 9 8 8 9 10 12 12 16 15 7 1 2 2 2 2 2 3 2 3 3 4 5 7 8 10 13 15 17 18 18 18 16 14 10 8 6 3 1 1 1 1 4 7 9 8 4 2 -0 1 8 13 7 1 -1 -4 -4 -1 -0 -1 0 4 8 10 15 17 12 4 6 17 19 12 12 14 6 -4 0 8 8 2 -1 8 16 12 8 12 10 6 7 7 5 6 3 -4 6 25 22 9 -4 -10 -1 4 4 10 15 12 9 11 10 11 17 14 6 5 5 5 6 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 6 6 5 5 5 4 4 3 3 3 3 3 4 4 4 4 3 3 5 5 5 5 5 4 3 3 4 4 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 4 4 5 6 6 6 7 7 6 6 6 6 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 4 4 3 3 2 2 2 1 -0 -1 -1 2 4 6 8 8 8 7 5 5 6 6 7 10 12 12 10 8 8 7 6 6 4 2 2 2 1 1 1 2 2 2 3 3 3 3 3 4 5 7 7 8 9 8 7 6 5 3 2 3 4 5 6 5 6 6 5 5 4 5 4 3 2 3 5 8 10 12 14 15 13 9 7 7 7 6 5 5 4 3 2 3 4 5 5 5 6 7 7 8 7 6 6 8 10 13 16 15 10 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 2 3 3 4 4 5 6 7 8 8 7 5 3 2 2 2 3 4 5 6 6 7 7 6 4 3 1 1 1 3 4 5 5 5 5 5 4 4 5 5 4 4 5 6 8 9 10 9 6 4 4 5 5 6 7 7 7 6 5 5 3 3 2 2 1 1 -0 0 1 3 3 3 3 4 4 3 3 3 2 3 3 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 6 9 13 12 10 9 8 8 8 8 10 11 10 12 10 4 0 1 0 1 2 2 3 3 4 5 6 7 8 9 11 13 15 18 20 18 16 14 12 9 6 5 3 0 -0 2 3 2 3 5 5 3 1 -0 2 11 13 4 1 0 -2 2 7 6 1 0 3 4 5 8 13 17 15 11 13 16 10 7 8 1 -5 4 13 9 1 1 9 13 10 8 8 7 8 10 7 4 11 18 9 16 28 20 4 -8 -9 5 10 13 18 19 13 10 10 10 12 16 15 8 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 5 4 3 3 3 3 3 4 4 4 4 4 3 4 5 6 5 4 4 3 3 3 3 3 3 4 4 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 6 7 6 6 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 5 5 5 4 4 4 4 3 2 1 1 -0 -1 -1 -0 3 4 6 7 8 8 7 5 5 5 5 6 8 11 13 11 9 10 8 6 5 4 4 2 2 2 1 1 1 2 2 2 2 2 3 3 3 3 4 5 7 9 10 8 7 5 4 3 2 3 4 4 5 5 5 5 5 5 5 5 4 2 3 4 7 10 11 13 14 12 8 6 5 5 6 6 6 5 5 4 4 4 4 4 5 5 5 6 7 7 7 5 6 7 9 12 15 16 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 6 7 8 8 6 4 3 2 2 2 3 4 4 5 6 8 8 7 5 3 1 1 1 2 3 4 4 5 6 6 6 7 6 5 5 5 6 8 10 10 8 5 4 4 4 5 5 6 7 7 6 6 6 5 5 4 4 3 1 -0 -0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 9 12 11 8 7 7 8 9 8 8 9 9 9 7 3 0 -0 0 1 2 3 4 4 5 6 7 7 9 11 12 12 14 19 20 17 13 10 8 6 4 2 1 2 5 8 8 3 -0 1 2 1 1 1 3 11 9 2 4 3 3 11 16 12 6 5 6 3 0 2 8 14 16 14 14 14 10 6 5 -2 -1 11 16 8 1 0 3 4 5 5 4 5 9 11 7 -0 11 26 17 20 27 18 2 -11 -5 16 21 21 23 20 13 10 10 10 11 15 15 8 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 3 3 3 3 4 4 5 5 4 3 3 5 6 6 4 3 3 4 4 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 6 7 7 7 7 7 7 7 7 7 6 6 5 4 3 3 4 3 1 1 0 -1 1 3 4 4 5 6 7 7 6 5 5 5 5 5 7 10 13 10 7 8 8 6 5 4 4 4 4 4 4 3 3 2 2 1 2 2 2 2 2 2 3 4 5 8 10 10 9 7 5 4 4 3 3 3 4 4 5 5 5 6 6 5 4 3 2 3 5 8 11 14 13 11 7 6 6 5 5 5 6 7 7 6 5 4 4 4 4 5 5 5 6 6 6 6 6 6 7 9 12 16 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 2 2 2 2 2 3 2 2 2 3 3 4 6 6 7 8 7 7 5 3 3 3 3 3 4 4 5 7 8 9 8 7 4 3 2 2 2 2 3 4 5 7 9 9 6 5 5 6 7 9 10 9 7 5 4 3 4 5 5 5 6 6 5 5 6 6 5 6 5 5 2 0 -0 1 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 4 3 4 4 4 5 6 7 6 6 6 10 11 8 7 8 9 9 8 7 8 10 9 6 2 0 -0 1 3 3 4 5 5 6 7 7 8 10 12 12 11 15 20 19 13 9 7 4 4 -0 -5 -3 3 8 9 8 3 1 2 2 2 2 1 1 4 3 2 5 5 7 15 17 11 7 7 3 -1 -2 0 3 5 8 12 16 15 11 10 7 3 7 15 14 4 -4 -7 -5 -1 3 3 2 3 7 8 5 2 9 16 12 18 24 17 3 -9 1 23 28 24 22 16 11 9 10 10 10 13 15 10 6 6 6 6 6 5 5 5 4 4 4 5 5 5 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 4 3 3 2 3 4 4 5 6 6 5 4 4 5 6 6 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 5 5 5 6 6 7 7 6 6 6 6 5 5 5 5 5 5 7 8 8 8 9 9 9 9 8 8 7 6 5 4 3 2 4 4 3 1 -0 0 3 6 6 5 4 5 6 6 6 5 5 6 6 5 6 8 12 10 5 4 5 5 6 6 6 6 6 6 7 7 6 5 2 1 2 2 2 2 2 2 3 3 4 6 8 10 10 9 7 5 5 3 3 3 3 3 4 4 5 6 6 6 4 3 2 2 3 4 8 11 12 11 7 6 7 7 6 6 7 8 9 9 7 6 4 4 5 5 5 5 6 5 6 7 7 7 7 8 10 12 16 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 3 3 3 4 4 4 4 3 3 3 4 6 7 7 7 7 6 5 4 3 3 3 3 3 4 6 7 9 10 10 7 5 4 3 3 2 3 3 5 7 8 8 6 5 5 6 7 8 8 8 6 4 3 3 4 5 5 6 5 5 4 4 5 5 5 6 6 7 5 2 1 1 2 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 3 4 4 6 7 7 6 6 4 8 11 10 9 9 10 9 8 7 7 9 8 4 1 1 1 2 4 4 5 6 5 6 6 8 10 11 13 11 11 17 21 17 10 6 5 3 3 1 -3 -1 3 5 5 3 2 2 3 4 4 5 4 4 5 4 3 3 7 9 11 9 5 5 5 2 1 1 1 -0 -0 3 9 16 17 16 19 13 9 10 11 7 -1 -6 -8 -3 5 8 1 -2 3 6 3 3 7 9 3 5 17 25 17 4 -4 5 21 24 21 17 11 8 8 9 9 10 14 16 11 5 6 6 7 6 5 5 5 4 4 4 5 5 5 5 4 4 5 5 5 5 4 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 3 2 3 4 4 5 5 5 5 5 5 4 4 3 3 3 3 4 5 6 7 7 5 4 4 5 5 5 5 4 5 5 4 5 5 5 4 4 5 5 4 5 5 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 6 7 8 8 9 10 11 12 12 12 11 10 8 7 5 4 2 2 3 4 3 1 0 0 4 9 7 5 3 4 5 6 5 6 7 7 7 7 7 8 11 10 6 4 4 4 6 8 8 8 8 9 11 12 11 9 5 2 1 2 3 4 3 3 3 3 3 4 6 9 11 11 9 6 5 4 3 3 3 3 3 4 5 6 7 6 5 3 2 2 2 2 3 7 11 11 8 7 8 9 8 7 7 9 10 10 10 8 6 6 5 5 5 6 6 6 6 7 6 7 8 9 8 10 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 8 8 6 5 5 5 6 6 7 7 7 5 4 3 3 5 6 7 7 7 6 6 4 4 3 3 3 4 4 5 6 8 10 10 8 6 5 5 5 5 4 4 5 7 7 7 6 6 6 6 6 7 7 6 5 4 4 4 4 5 7 7 6 5 5 4 4 5 5 5 7 7 7 5 2 2 2 3 3 3 3 3 3 3 2 2 2 2 3 4 5 4 3 3 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 5 6 7 7 6 5 4 5 13 16 10 10 10 10 8 6 5 6 5 2 1 2 2 3 4 5 5 5 5 6 7 10 12 12 11 10 12 17 21 16 9 4 4 3 2 4 5 3 -4 -0 5 2 0 2 3 4 5 6 5 9 16 18 14 7 9 9 5 0 0 5 8 8 7 5 1 -2 -2 2 9 17 21 23 23 13 3 4 3 -1 -2 -7 -14 -3 19 18 -0 -4 5 3 -4 1 7 8 1 5 20 28 20 4 -2 7 17 19 17 13 8 7 8 8 7 10 14 13 7 5 6 7 7 6 6 5 5 5 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 2 3 3 4 4 5 5 5 4 4 4 4 3 4 4 4 4 4 6 7 6 5 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 8 9 9 10 12 14 15 15 14 13 11 9 7 5 4 4 4 4 3 3 3 2 2 6 10 7 3 3 4 5 5 6 7 8 8 8 8 9 9 10 8 6 5 4 4 5 7 9 9 8 10 13 17 16 12 8 5 3 3 4 5 4 4 4 3 3 3 5 7 10 11 10 8 6 4 4 3 3 2 3 4 6 7 7 7 6 4 3 2 2 2 2 3 6 9 9 9 9 8 8 7 7 9 11 12 12 10 9 8 6 5 5 6 6 6 5 6 6 7 8 8 8 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 8 11 11 9 7 7 7 8 8 10 11 11 9 6 4 3 3 4 5 5 6 6 5 4 4 3 3 4 4 4 5 5 7 8 9 7 5 5 6 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 8 7 6 5 5 5 5 5 5 6 8 8 7 5 3 3 3 3 3 3 4 3 3 2 1 1 2 4 6 6 4 3 3 3 2 2 2 2 2 3 3 4 3 4 3 3 3 3 4 3 3 4 5 7 7 6 5 4 4 6 16 17 11 11 11 10 8 6 5 3 2 2 2 3 3 4 4 4 5 5 5 6 9 12 12 11 10 10 13 18 20 16 9 5 3 0 -2 1 6 -0 -6 1 8 5 2 1 2 4 5 6 6 5 7 14 19 16 11 7 2 -1 -0 5 9 10 7 5 0 -4 -4 1 10 18 20 17 12 1 -6 0 2 -1 -0 -12 -25 -6 23 20 1 -3 1 -7 -11 -0 8 6 3 9 23 29 21 4 -0 9 17 17 13 9 7 8 9 7 6 9 12 9 5 6 8 8 7 6 6 6 5 5 4 4 4 5 5 5 5 4 5 4 4 5 5 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 3 4 5 6 6 6 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 11 12 14 15 16 17 16 14 11 9 7 6 6 6 6 5 3 4 4 4 4 8 11 8 4 4 5 6 6 6 6 7 7 7 7 8 8 9 7 6 5 5 5 6 7 8 9 9 10 13 16 16 12 10 7 6 6 7 7 7 5 4 4 3 3 4 5 8 11 11 10 8 6 5 4 3 2 3 4 5 6 6 6 6 5 4 3 3 3 3 3 3 4 6 8 8 6 5 6 6 9 11 11 12 13 12 10 8 6 5 5 6 6 6 6 6 7 7 8 8 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 6 8 9 7 6 6 6 7 7 8 11 12 11 9 7 4 3 3 3 4 4 4 4 4 3 3 3 4 5 5 5 5 7 8 8 6 4 4 5 7 8 7 7 7 7 6 5 5 6 6 6 6 6 6 6 5 5 5 6 7 7 8 8 8 7 6 6 7 6 6 6 7 7 7 7 6 5 5 4 3 3 3 4 4 3 2 2 2 3 5 7 6 4 4 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 3 3 5 6 7 7 5 4 3 4 8 17 17 12 12 13 11 8 8 6 2 2 2 3 3 3 3 4 5 5 5 5 8 11 12 8 8 10 12 16 19 19 15 9 5 1 -4 -6 -0 5 -1 1 6 8 6 2 1 4 5 4 6 6 -0 -4 -0 9 15 11 6 3 2 2 4 5 5 4 4 1 -3 -5 -1 8 15 14 8 1 -8 -8 4 5 0 -0 -10 -17 -2 15 11 2 -4 -6 -7 -5 3 6 3 4 14 25 28 18 5 2 11 16 14 11 8 8 8 8 5 6 9 10 8 6 6 10 10 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 3 3 4 5 5 4 4 4 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 9 9 9 10 11 11 12 12 13 13 15 16 17 16 15 13 10 8 6 5 6 8 7 5 4 4 5 6 5 6 9 8 5 5 6 6 6 6 7 6 5 4 5 5 6 6 6 5 6 6 6 6 6 8 9 8 8 10 12 13 11 9 8 7 8 10 10 10 9 7 5 4 4 4 4 6 8 10 11 9 7 6 5 4 3 3 4 5 5 5 5 5 5 4 4 4 3 3 4 3 3 4 5 5 5 4 4 6 6 8 9 11 13 14 13 11 9 7 6 6 7 7 6 6 7 7 7 7 8 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 5 4 4 4 4 4 5 7 9 10 10 9 7 5 4 3 3 3 3 3 3 3 3 2 3 5 6 6 5 6 7 8 7 5 4 4 5 6 7 7 7 7 7 5 4 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 6 5 4 3 4 5 5 4 4 3 3 4 6 6 5 4 3 3 3 2 2 1 1 2 2 2 2 3 3 3 4 4 4 4 4 4 5 6 7 6 4 3 4 5 11 19 18 13 12 12 11 10 7 3 0 1 2 3 3 3 3 4 5 5 5 7 10 13 10 6 8 11 14 18 21 18 12 7 2 -3 -5 -2 5 5 3 6 8 5 4 1 0 5 7 7 10 8 2 1 3 8 10 7 4 4 3 2 2 -0 1 3 2 2 0 -3 -3 6 13 11 7 1 -6 -2 13 12 -0 -2 -3 -4 3 8 2 2 -0 -4 -1 4 7 8 6 7 18 25 23 15 5 4 11 14 12 9 9 9 8 6 4 6 8 9 8 7 8 11 11 7 6 6 6 5 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 5 5 4 4 3 4 5 5 6 6 7 7 7 6 6 5 6 7 6 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 6 5 6 6 6 6 6 6 7 7 6 7 7 7 7 9 11 12 12 13 12 12 12 12 13 14 15 15 15 14 12 10 8 6 5 5 6 6 5 5 4 4 5 6 6 5 2 2 4 5 5 6 6 6 6 6 5 4 3 3 4 4 5 5 5 6 7 7 7 7 8 7 7 8 8 9 9 9 8 8 9 11 13 13 14 12 9 6 5 4 3 5 6 8 9 10 9 8 7 5 3 3 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 4 4 4 6 7 9 11 12 13 13 12 10 8 8 8 7 6 6 7 6 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 4 3 3 3 3 3 3 5 6 8 9 9 8 7 6 5 4 3 3 3 3 3 3 4 6 7 6 5 6 7 7 7 6 5 4 4 5 6 7 7 8 6 5 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 6 5 4 4 5 5 4 4 4 4 5 6 5 4 3 3 3 2 3 2 1 1 1 1 1 1 2 2 2 3 4 4 5 4 5 5 6 6 5 4 4 5 7 14 21 18 12 9 9 11 7 3 -3 -3 1 3 3 3 3 3 4 5 6 6 8 11 12 8 7 8 10 15 21 24 17 8 4 -0 -3 -1 5 9 6 3 5 5 3 1 1 1 4 7 12 17 12 8 12 15 11 6 3 2 3 2 1 0 -1 1 3 3 5 4 -1 -2 6 14 16 12 6 -3 2 18 17 1 -4 -0 2 5 9 5 4 6 2 0 3 7 10 10 10 15 19 19 12 5 5 11 14 12 9 9 9 8 4 3 6 8 6 7 8 9 12 11 7 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 5 5 4 3 4 4 5 6 6 8 9 8 6 5 5 6 7 7 7 7 6 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 7 8 10 12 13 14 14 13 12 12 11 12 12 13 13 13 12 11 9 7 7 5 3 2 3 4 4 4 5 5 5 5 6 4 1 1 3 4 4 5 6 6 6 6 6 5 4 4 4 4 4 5 5 5 6 8 8 6 6 7 7 7 7 7 7 7 8 8 9 11 12 15 17 17 13 9 6 5 4 4 5 5 7 9 9 8 7 6 5 4 5 5 5 4 4 3 3 3 4 5 5 5 4 3 3 3 2 3 5 6 5 4 4 5 6 7 8 9 11 13 14 12 10 9 9 8 6 6 6 6 6 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 3 3 3 3 3 3 3 2 2 4 4 6 7 7 8 9 9 8 7 6 5 6 7 7 8 9 9 6 5 5 5 6 7 7 7 6 5 4 5 7 8 8 6 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 7 7 8 8 7 6 7 7 6 5 5 5 5 4 4 4 4 4 4 5 4 3 3 2 2 2 2 2 2 2 2 2 1 1 2 2 2 3 3 4 5 5 6 6 7 6 4 4 6 8 13 20 24 19 10 5 6 7 1 -2 -4 -3 2 3 3 3 3 3 4 5 6 7 9 11 10 7 6 6 9 14 21 24 15 5 2 3 3 4 7 8 5 0 0 1 2 1 2 3 4 7 11 13 10 13 17 15 9 3 0 1 2 1 -0 -1 -1 2 6 7 8 6 2 2 8 16 20 17 9 -0 -1 10 13 3 -2 -1 2 7 14 13 7 6 3 1 4 7 10 10 9 9 14 17 11 5 6 12 14 13 10 9 9 7 3 3 7 8 6 5 7 10 14 12 8 6 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 6 7 6 6 4 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 8 9 11 13 14 15 14 13 12 11 11 11 11 11 11 10 9 9 8 8 7 4 1 1 2 3 4 5 5 5 5 6 6 4 -0 1 4 4 4 5 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 6 8 6 3 5 8 7 7 6 6 7 7 6 7 8 9 12 16 17 15 12 8 6 5 5 5 4 5 6 6 7 7 6 6 5 5 5 6 5 5 4 3 4 5 5 5 5 4 4 3 3 3 3 4 5 5 4 5 5 5 5 7 8 9 11 12 12 10 8 7 6 6 6 7 7 6 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 6 8 10 10 10 9 9 10 13 15 15 14 12 8 5 4 5 5 5 7 10 12 11 8 6 6 8 7 6 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 5 5 5 5 5 6 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 3 4 5 6 6 6 7 7 6 4 5 9 15 23 30 27 15 6 2 2 1 -5 -6 -2 0 2 3 3 3 3 4 5 6 7 7 8 10 9 7 7 8 9 12 15 18 12 0 -1 7 7 5 5 7 7 3 0 1 2 2 2 3 3 6 6 3 8 14 12 7 4 1 -1 -1 1 1 0 2 3 6 9 11 11 8 5 6 12 16 18 17 11 2 -2 3 7 6 4 2 -0 3 8 10 7 4 3 4 7 9 9 8 6 8 17 20 11 6 7 12 15 13 10 9 8 6 4 5 6 7 5 5 6 10 16 15 8 5 6 7 7 7 5 5 5 5 5 5 4 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 4 3 3 3 4 4 5 4 5 5 5 4 4 4 4 4 3 4 4 5 5 5 4 4 4 5 6 6 6 6 7 6 6 6 7 7 7 6 6 7 6 6 6 6 6 5 5 6 6 6 6 7 7 7 7 8 8 8 9 10 12 13 14 14 12 11 10 10 10 10 9 8 8 8 7 8 9 9 8 5 3 3 4 4 4 5 6 5 5 5 6 6 -2 -2 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 6 3 5 7 8 7 6 5 5 5 6 6 6 6 8 12 15 15 13 10 8 6 6 5 4 4 4 4 5 5 6 6 6 5 6 6 6 6 5 5 4 5 5 6 6 5 4 4 4 3 3 3 3 4 5 5 4 4 5 5 6 8 9 10 11 10 9 6 4 6 6 7 7 6 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 3 3 2 1 1 1 2 2 3 3 3 3 3 2 2 3 5 6 8 10 10 10 9 12 17 18 14 13 12 10 7 5 5 4 3 6 12 18 19 13 8 7 8 7 6 4 3 4 4 3 3 3 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 6 6 5 5 5 5 5 4 4 4 3 4 4 4 3 2 2 1 1 1 1 2 2 1 1 3 3 3 3 3 3 3 3 3 4 5 6 6 7 7 7 5 4 8 16 24 33 35 23 9 3 0 -1 -4 -9 -7 -1 2 2 2 3 3 4 4 5 6 7 7 7 8 8 10 11 10 10 10 10 11 9 1 -1 8 7 5 5 7 6 5 5 5 4 2 2 3 5 5 2 2 12 13 5 2 1 0 -2 -2 -1 2 4 6 8 9 10 9 9 8 5 8 12 11 18 24 15 5 -1 0 2 6 14 14 2 -2 -2 1 8 9 7 8 8 6 6 7 7 13 24 24 12 6 8 12 14 13 11 9 7 5 5 7 6 5 5 5 7 14 18 13 6 4 6 7 7 7 6 5 5 5 5 5 5 5 4 5 5 4 5 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 3 3 4 4 5 4 4 3 3 4 5 5 5 5 5 5 4 4 3 3 4 4 4 3 3 4 5 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 6 6 7 6 6 6 5 5 5 6 6 6 6 7 7 8 8 8 8 8 9 10 10 11 12 12 11 10 9 8 9 9 8 8 7 6 6 7 8 9 10 10 8 5 5 5 5 5 5 5 5 5 5 5 5 1 -0 4 5 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 4 4 5 5 4 2 4 6 8 8 6 4 4 5 5 6 6 5 6 9 12 14 14 12 10 8 7 7 6 5 4 3 3 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 3 2 2 3 4 4 3 3 4 5 6 7 8 10 10 10 9 6 5 5 5 6 6 6 5 5 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 5 4 3 3 2 2 2 2 2 2 3 3 3 3 4 4 6 8 9 9 9 8 11 15 15 9 7 9 9 6 5 4 4 4 5 13 21 21 14 8 7 8 8 6 4 3 4 4 3 2 2 3 3 4 4 4 5 5 6 6 6 6 6 6 5 4 3 3 3 3 4 4 5 5 5 4 4 4 4 3 3 3 3 4 4 3 2 0 0 0 1 2 2 2 2 1 1 2 2 3 3 4 4 4 4 3 4 6 6 7 7 8 6 4 6 13 21 27 29 26 15 5 5 3 0 -6 -11 -7 -1 1 1 2 3 3 4 5 6 7 7 7 7 7 9 13 14 11 13 14 9 7 8 5 4 7 9 7 5 4 4 7 6 7 6 2 1 4 6 4 2 9 19 15 5 4 3 -1 -2 -2 0 4 8 11 12 11 10 9 7 6 4 5 7 8 20 30 19 7 1 0 -0 4 13 15 6 2 2 3 10 12 10 7 5 6 11 12 12 19 26 22 12 7 9 12 13 13 11 10 7 5 6 7 6 5 4 5 10 17 18 10 4 4 5 7 7 7 6 6 5 5 5 5 5 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 3 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 7 7 8 8 8 8 8 9 10 10 10 11 11 11 10 8 7 7 7 8 8 7 6 5 5 6 6 8 9 9 7 6 6 6 6 6 6 6 5 5 5 5 4 1 0 3 5 5 5 6 5 6 6 5 4 4 4 4 5 5 5 5 5 6 6 7 6 1 0 4 6 7 7 5 5 4 4 5 6 6 6 7 10 12 13 13 12 9 8 9 8 7 5 4 3 3 3 3 4 4 5 5 6 6 6 5 5 5 5 4 5 5 6 5 5 5 4 3 2 3 3 3 3 3 3 4 5 6 7 9 11 11 9 7 6 4 4 5 5 5 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 8 7 6 5 4 4 4 3 3 2 2 2 2 4 4 5 6 8 8 9 8 7 9 11 11 7 5 5 6 6 5 5 4 4 6 12 18 14 7 4 5 7 8 6 5 4 4 4 3 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 4 3 3 3 2 3 3 3 4 4 4 3 4 4 4 3 3 3 4 4 4 2 1 0 1 2 4 4 3 2 2 2 2 2 2 2 3 4 5 5 4 4 5 6 7 8 8 8 5 5 9 15 21 24 20 13 8 9 14 12 2 -9 -10 -5 -1 1 1 1 2 3 4 4 5 7 7 7 7 8 13 15 12 10 15 17 13 8 8 7 4 4 8 8 8 4 7 9 7 9 7 3 1 4 7 4 4 12 18 14 7 5 2 -3 -3 0 2 5 9 14 16 15 14 12 8 5 5 5 2 6 20 26 18 9 5 3 3 3 6 5 3 8 15 13 9 10 9 5 2 10 16 15 17 21 23 18 10 8 10 12 13 12 12 9 8 7 6 5 4 4 4 6 13 20 16 7 4 4 6 7 7 7 6 6 6 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 6 5 5 5 5 4 4 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 6 6 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 9 8 7 7 6 6 7 7 6 6 5 5 6 5 5 4 5 6 6 6 5 5 5 5 5 5 5 5 4 -0 -3 2 5 5 5 5 5 5 6 7 5 3 3 3 3 2 3 5 5 6 6 7 9 3 -0 3 5 6 7 7 6 4 4 4 5 5 6 6 8 10 12 12 11 10 9 9 9 8 7 6 5 4 3 3 3 3 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 4 3 2 3 3 2 2 3 4 5 6 8 10 10 9 7 6 4 3 3 3 4 4 4 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 10 10 10 9 8 8 8 7 5 4 3 3 3 3 3 4 5 6 7 8 8 8 7 8 8 8 8 6 5 5 5 5 4 4 5 7 12 14 9 4 2 3 6 9 9 7 5 5 4 3 2 3 3 3 3 3 2 3 3 4 4 4 4 4 4 4 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3 3 3 4 6 5 2 2 4 5 6 5 4 3 3 3 3 3 2 2 2 2 3 4 5 5 5 5 7 8 9 9 8 5 5 9 13 20 25 19 9 10 19 20 11 -3 -12 -8 -2 -0 0 1 2 2 3 4 4 5 5 8 10 11 13 15 14 11 11 14 16 14 9 7 5 3 4 7 9 10 9 9 7 7 8 5 1 0 4 7 4 3 5 7 6 5 2 -4 -6 -2 2 3 4 8 13 16 18 18 15 9 6 7 6 1 1 14 20 15 10 8 6 7 8 5 2 4 11 14 10 5 10 9 5 3 7 10 12 16 19 18 14 9 9 10 12 13 13 11 8 8 7 5 4 4 4 4 7 16 21 13 5 4 5 6 7 7 7 6 6 6 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 6 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 6 7 6 6 6 6 5 6 6 6 6 7 7 7 8 8 8 7 8 9 10 10 11 11 10 10 10 9 8 7 6 5 5 5 6 6 6 6 7 7 6 4 2 4 6 6 6 5 4 4 4 4 4 5 6 5 2 -2 1 5 6 6 5 5 5 6 8 8 6 5 4 3 2 0 1 3 5 7 7 6 5 3 4 4 5 6 7 6 5 4 4 4 5 6 5 6 8 11 12 10 10 10 10 10 9 7 7 7 7 6 5 5 5 4 5 7 8 8 6 4 4 3 4 4 4 4 5 5 6 6 5 5 4 3 2 2 2 2 2 3 4 5 7 9 10 9 7 5 4 3 3 3 3 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 12 12 12 11 11 11 11 10 8 6 5 4 3 3 4 4 5 5 6 7 7 7 7 7 6 6 6 6 6 6 5 5 4 5 5 8 13 14 10 5 2 2 5 10 12 9 6 6 5 4 3 4 4 4 3 3 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 2 3 4 4 5 5 4 4 6 8 8 7 4 3 2 3 3 4 4 3 2 2 3 3 4 4 4 5 8 10 11 11 9 6 4 4 5 10 20 28 26 18 17 19 11 -3 -12 -13 -5 -0 0 1 1 3 4 4 5 4 4 6 11 16 16 15 13 12 13 15 14 14 13 10 7 5 6 8 7 5 4 4 4 4 4 1 -0 -2 -1 2 5 3 -0 -2 0 4 6 1 -7 -8 -2 3 4 4 6 10 15 22 23 18 10 8 6 5 -2 -5 7 13 10 6 6 7 9 11 8 5 8 13 9 3 4 12 11 5 6 6 6 10 15 17 15 11 9 9 10 12 12 11 9 8 7 7 5 4 4 4 5 9 17 19 10 4 5 6 7 7 7 7 6 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 4 4 4 3 3 4 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 8 8 7 7 7 7 9 10 10 10 10 10 10 10 9 9 7 6 5 4 5 5 5 5 6 7 8 8 7 6 5 5 5 5 5 4 4 4 4 4 5 6 6 5 2 2 5 7 7 6 5 5 6 7 9 10 10 8 7 5 3 1 2 4 6 7 5 4 5 5 5 4 5 6 6 6 5 4 4 5 5 5 5 5 8 10 10 11 11 11 11 10 9 8 7 7 7 8 8 8 7 7 9 11 13 12 10 7 4 3 3 4 4 4 5 5 6 6 5 5 4 3 2 2 2 3 2 3 4 6 7 9 9 8 6 5 4 3 3 3 3 2 3 4 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 11 13 12 12 12 12 12 12 12 11 9 7 5 4 5 5 4 5 6 6 7 7 7 8 8 7 6 5 5 6 6 6 5 4 4 4 6 12 16 13 7 3 1 4 9 12 10 7 5 5 5 5 5 6 5 4 3 3 2 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 4 4 5 4 3 3 4 5 5 4 3 4 6 9 10 9 6 3 2 2 3 4 5 5 3 3 3 4 4 4 4 4 7 11 13 13 11 8 4 3 2 3 8 17 24 25 22 12 0 -12 -15 -12 -7 -1 0 0 1 3 5 6 6 6 5 6 9 15 17 14 12 10 11 16 18 14 11 12 11 10 10 10 9 6 2 -4 -5 -1 2 -0 -2 -1 -1 -1 3 3 2 -2 -4 -2 1 1 -1 -6 -7 -1 4 4 4 5 9 19 30 29 20 12 8 2 -2 -4 -2 5 8 6 5 10 14 12 12 12 10 9 10 8 4 8 14 12 6 6 5 10 14 16 15 13 10 9 9 10 12 12 10 8 7 7 7 5 4 4 5 6 9 15 18 10 4 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 6 7 6 5 5 4 4 4 4 3 4 5 5 5 5 4 3 3 3 3 3 4 4 3 4 4 5 6 6 7 7 7 6 7 7 6 6 6 6 6 6 6 5 5 6 6 7 7 7 8 8 8 7 6 6 7 8 8 9 10 10 10 9 9 9 9 7 6 6 5 5 4 4 3 3 3 4 4 5 7 7 6 5 4 3 3 3 3 4 7 8 6 6 6 5 3 4 7 8 7 6 6 6 6 7 8 9 10 10 10 9 7 5 4 4 5 6 5 5 6 5 5 5 5 6 6 7 6 5 4 4 5 6 5 4 4 5 8 11 11 11 10 10 9 8 7 7 7 8 9 10 10 9 9 11 14 18 18 14 9 6 4 4 4 4 4 5 5 6 6 6 5 5 4 4 3 3 2 2 3 5 6 7 8 9 9 8 7 6 5 4 3 1 1 2 4 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 10 11 11 10 10 10 10 11 12 13 12 10 8 7 7 6 6 6 6 6 7 6 7 8 9 9 8 7 6 6 6 6 5 5 4 4 5 10 16 14 8 3 1 2 6 8 7 5 4 4 5 6 7 7 6 5 4 3 2 2 3 3 4 3 3 3 4 4 4 4 4 3 3 4 4 5 5 6 6 6 6 6 6 4 2 2 4 7 9 8 6 5 4 5 4 5 5 5 4 4 4 5 5 4 4 5 6 12 15 14 10 7 5 2 1 0 1 5 11 15 15 10 -8 -25 -26 -15 -7 -2 -0 -0 1 3 6 7 8 8 7 8 10 15 17 13 9 8 8 10 13 15 13 10 10 12 12 10 7 8 10 6 -1 -2 1 2 0 1 2 3 3 8 6 1 -1 -2 -3 -5 -5 -2 -3 -2 2 4 4 3 4 8 21 33 29 16 12 7 -4 -7 2 6 5 8 10 12 19 19 12 6 8 9 5 4 7 6 8 12 10 5 9 15 18 19 17 14 12 10 9 9 10 12 11 9 8 6 7 7 5 4 5 6 7 8 12 16 11 6 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 5 5 6 6 5 5 6 6 6 5 5 4 4 4 4 4 3 4 4 4 5 4 3 3 3 3 4 3 4 4 4 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 5 6 5 6 6 7 7 8 8 8 8 7 6 6 6 6 7 8 9 10 10 10 9 8 8 7 6 5 5 5 5 4 3 2 2 3 2 0 1 4 6 6 5 5 4 3 3 2 3 6 9 8 7 6 4 3 4 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 5 4 4 5 6 6 5 4 3 5 7 9 10 9 9 8 8 7 7 7 7 7 8 8 7 7 9 12 18 21 20 16 11 8 5 4 4 5 4 4 5 6 5 6 6 5 4 3 3 3 2 2 3 4 5 7 8 10 10 10 10 8 7 5 3 2 1 1 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 4 4 6 6 6 5 6 6 7 9 11 12 12 12 11 10 9 8 9 11 12 10 7 5 5 6 8 9 10 11 10 8 7 7 6 5 4 4 6 11 14 11 5 3 3 3 5 5 5 4 5 5 6 6 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 6 8 8 7 6 5 5 5 5 5 5 5 6 7 8 7 6 5 5 5 6 6 5 5 5 8 16 20 17 10 4 2 4 7 6 1 2 5 5 -1 -4 -8 -21 -31 -25 -11 -5 -3 -2 1 4 7 10 11 11 11 13 15 17 15 14 12 11 12 12 11 8 5 5 9 11 7 7 9 5 4 5 8 6 6 8 7 6 4 5 4 5 9 16 13 3 3 5 6 8 8 5 5 8 8 3 -3 1 7 6 5 7 8 6 6 4 -2 0 7 7 3 5 9 14 23 17 4 -4 -7 -4 3 8 9 11 13 12 12 14 21 26 21 14 11 10 9 8 8 9 10 10 9 8 7 7 7 7 6 5 6 6 5 7 10 10 7 7 8 8 8 7 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 5 5 6 7 7 6 5 5 4 4 4 4 5 5 5 5 4 5 4 3 3 4 4 4 4 4 4 4 5 5 6 6 7 6 6 6 6 6 6 5 6 5 5 5 6 6 7 7 7 8 8 8 8 7 7 6 6 6 6 7 8 8 9 9 10 10 8 7 5 5 5 5 5 4 4 3 3 3 4 5 3 4 5 5 5 4 4 4 5 5 5 4 3 3 5 7 7 5 3 3 5 6 6 7 7 7 8 8 9 8 8 8 8 8 8 7 7 7 7 6 7 6 6 5 5 5 5 5 5 6 7 7 7 5 4 4 5 6 7 6 6 6 6 5 5 6 7 7 6 6 6 6 6 6 6 7 7 6 5 5 11 20 25 25 22 17 12 8 6 6 5 4 4 4 4 5 6 6 6 5 4 4 4 4 3 2 2 3 4 5 6 8 10 10 11 11 10 9 7 4 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 6 5 5 5 5 7 9 11 12 13 12 10 8 8 9 12 13 11 7 4 4 5 6 7 9 12 12 11 9 8 7 6 5 4 5 8 11 11 7 4 3 4 5 6 5 5 5 5 5 5 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 6 7 8 8 8 7 5 4 3 3 4 4 4 4 4 4 4 5 6 6 6 5 5 9 14 17 14 10 7 3 2 6 8 3 2 9 18 16 4 -3 -5 -8 -11 -8 -5 -5 -4 -1 4 8 11 12 13 13 14 17 17 14 10 9 11 14 15 14 13 10 9 8 7 7 5 9 11 8 6 6 6 3 6 8 7 6 5 6 5 4 9 13 13 7 8 12 13 13 10 7 6 8 7 0 -3 2 8 7 2 -2 2 4 3 5 6 6 8 8 6 7 9 14 24 18 5 1 -4 -4 3 7 8 10 14 16 17 18 18 17 13 11 10 9 8 7 8 9 9 9 8 8 7 6 6 6 6 6 6 6 4 6 10 9 6 6 8 8 8 7 6 6 6 7 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 7 8 7 6 5 5 4 4 4 4 5 6 5 5 5 5 4 3 4 4 4 4 4 4 4 5 5 5 6 6 6 7 6 6 6 6 6 5 5 5 5 5 6 7 7 7 8 8 8 8 8 7 6 6 6 5 6 7 8 8 9 9 10 10 8 6 5 5 5 5 4 4 4 4 3 4 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 7 6 4 3 4 5 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 4 4 5 5 6 7 7 6 5 4 4 5 6 7 7 7 7 6 5 5 6 6 6 6 5 5 5 6 6 6 6 7 7 7 10 16 21 23 20 16 11 10 9 7 6 5 5 4 4 4 5 6 6 5 4 4 4 4 4 3 2 2 2 3 4 6 7 9 9 10 11 11 12 10 6 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 12 12 12 11 10 8 6 5 4 6 9 11 12 12 10 8 7 8 10 11 10 8 5 4 5 6 6 7 9 11 12 12 11 8 8 7 5 5 6 8 10 8 6 5 5 6 6 6 5 5 6 5 4 4 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 5 5 6 6 5 4 4 4 4 4 5 5 6 7 8 9 8 7 4 4 3 3 2 2 2 3 4 4 6 6 6 5 5 9 15 16 11 7 8 5 3 6 9 5 -2 5 19 30 27 12 3 2 1 -1 -5 -7 -6 -2 4 9 11 13 14 14 14 17 17 15 12 11 11 12 16 17 15 12 11 10 8 6 4 6 9 10 7 4 5 5 4 5 6 5 6 6 7 5 3 5 4 8 8 8 12 14 13 10 8 7 7 5 -1 -1 3 8 9 3 -1 4 4 1 4 9 10 11 11 8 7 11 18 21 14 8 6 1 -1 3 5 6 11 17 19 18 17 15 11 10 9 9 8 7 6 7 9 9 8 8 7 7 6 6 6 6 6 6 6 3 4 9 10 7 6 8 8 8 7 6 6 7 7 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 8 6 5 5 5 4 4 4 5 5 6 5 5 6 5 4 3 5 4 4 4 4 5 5 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 7 6 6 5 5 5 6 7 8 8 9 9 10 10 8 6 5 5 5 5 5 4 4 4 4 5 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 5 3 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 6 5 4 4 5 5 6 7 7 6 4 4 5 6 6 7 7 7 7 6 5 5 6 6 5 5 5 5 5 5 6 6 7 8 10 11 13 15 16 15 12 9 8 9 9 9 8 7 5 4 4 4 5 6 6 5 4 3 3 3 3 2 2 2 2 2 3 4 6 7 8 9 11 13 14 13 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 8 10 11 12 16 18 16 13 10 7 5 6 7 9 10 10 9 9 10 10 11 10 9 6 5 5 5 5 5 6 8 13 16 15 12 9 6 5 5 5 6 7 7 7 7 6 5 5 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 7 6 7 6 6 6 7 8 9 9 9 9 7 6 5 5 6 10 14 14 8 6 5 2 1 4 8 8 4 1 1 7 6 5 7 -6 -18 -23 -20 -14 -6 -0 6 10 12 11 10 11 12 12 13 16 16 17 19 19 15 9 6 7 11 14 14 11 11 9 7 7 10 9 6 9 7 0 1 3 4 5 5 5 6 5 4 4 7 11 13 8 4 5 6 6 6 6 6 6 4 -0 -1 3 7 8 10 7 4 4 8 15 19 20 18 12 6 3 0 -2 5 12 10 3 2 2 1 5 11 14 14 13 12 11 10 10 10 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 5 5 6 6 5 5 8 11 8 5 6 9 8 6 6 7 7 6 5 5 6 6 6 6 7 7 7 6 5 5 5 5 5 5 4 4 5 5 6 5 5 4 4 6 8 6 5 5 4 4 4 4 5 5 6 5 5 5 5 5 4 5 6 6 5 5 5 5 4 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 7 7 7 7 7 6 6 5 5 4 4 4 5 6 7 7 8 8 9 9 8 7 6 6 5 5 4 3 2 2 2 2 -1 4 9 6 5 6 6 7 7 7 6 6 6 6 7 6 6 6 4 3 4 6 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 9 7 5 4 4 5 6 6 6 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 9 10 11 14 15 13 11 11 12 15 18 22 21 16 10 7 5 5 5 6 5 5 5 4 3 3 2 2 3 3 3 3 3 3 3 3 4 5 4 6 9 9 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 7 10 14 15 16 15 12 9 7 5 5 6 7 7 7 9 10 10 11 10 7 6 6 5 6 5 5 6 11 17 16 11 7 5 5 6 6 6 6 6 8 7 6 5 4 4 4 3 3 3 3 3 4 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 6 6 6 5 5 6 6 8 10 12 13 12 10 7 5 3 5 9 12 12 8 2 1 -1 -2 5 10 10 6 4 3 5 1 1 0 -2 -11 -17 -16 -10 -4 2 8 12 13 11 8 8 11 13 12 13 16 17 17 17 16 13 10 6 5 7 14 14 11 10 11 10 9 10 8 7 10 9 3 1 4 5 5 5 5 5 5 5 6 13 20 20 14 10 9 7 5 5 5 4 6 6 2 1 1 1 4 10 9 5 3 9 22 26 25 22 14 5 3 3 5 11 14 7 -2 -2 3 5 7 10 11 10 9 9 9 10 11 11 9 9 8 7 7 8 8 8 8 8 7 7 7 7 6 4 5 6 6 2 4 12 16 10 3 4 7 8 6 5 6 6 6 5 5 6 7 7 7 8 8 7 6 5 5 5 5 5 4 4 4 5 6 6 5 4 4 5 7 7 6 5 5 4 4 4 4 5 5 6 5 5 5 4 4 5 6 6 6 6 5 5 5 4 4 4 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 4 4 4 5 6 6 6 7 7 8 9 9 8 7 6 5 5 4 4 3 3 3 2 -1 1 5 6 5 5 6 6 7 7 7 6 6 6 7 7 6 6 5 5 6 6 6 6 6 6 5 5 5 6 5 5 6 6 6 6 6 6 6 7 8 8 8 8 8 9 10 10 11 10 9 8 6 5 5 5 6 6 6 6 7 7 8 8 7 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 10 14 16 16 13 11 13 17 21 23 22 19 15 11 7 6 5 6 5 5 5 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 2 2 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 5 5 5 5 7 10 13 16 17 15 12 8 5 4 4 4 5 5 7 7 8 8 8 7 7 6 5 5 5 6 9 14 15 11 6 4 5 8 7 6 5 6 6 7 7 6 6 5 3 2 2 2 2 3 4 5 6 6 6 6 6 6 5 5 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 5 5 6 7 8 11 13 13 11 9 7 4 5 9 11 10 7 4 4 3 1 5 10 12 9 5 4 5 5 3 6 7 3 2 0 1 3 6 10 14 15 12 7 6 9 14 14 11 12 15 17 15 12 10 10 9 8 5 6 10 13 11 8 11 13 13 11 5 2 2 4 6 5 4 4 5 4 1 -0 3 4 5 11 16 16 13 13 12 8 4 4 5 4 6 6 6 5 0 -2 4 11 11 6 4 10 26 29 22 19 14 8 7 9 12 15 13 6 0 2 8 10 9 9 9 8 6 6 8 10 11 11 11 9 8 7 7 7 8 9 9 8 7 6 7 8 6 4 6 6 4 3 6 12 14 10 5 3 4 5 5 5 5 5 5 5 6 6 7 8 8 8 9 8 7 5 5 5 5 5 5 4 5 5 6 6 5 4 4 5 7 6 6 5 5 4 4 4 5 5 6 6 5 5 5 4 5 6 7 7 7 6 6 5 4 3 4 5 5 6 6 5 5 5 6 5 5 6 5 5 6 7 7 7 7 7 7 7 7 6 6 6 5 5 4 3 4 4 5 5 5 6 7 8 9 10 10 8 7 5 5 6 5 5 5 5 6 6 4 4 5 5 5 5 5 6 6 6 7 6 6 6 7 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 7 7 8 8 9 10 11 11 11 10 9 8 7 7 7 7 6 7 7 8 8 7 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 8 9 11 13 15 14 12 11 14 17 20 19 19 18 15 11 7 6 6 6 5 4 4 4 4 4 4 4 4 5 6 5 5 4 4 3 3 1 1 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 6 6 5 4 6 7 11 14 16 16 14 11 7 5 4 3 3 3 4 5 6 7 8 7 6 6 6 6 7 9 11 12 10 6 4 5 7 8 7 6 6 6 6 6 6 6 5 3 2 2 2 3 3 4 5 5 6 7 7 7 6 6 5 5 6 6 6 5 4 4 5 5 5 4 4 4 4 4 5 5 6 5 5 5 5 6 7 8 10 11 10 9 7 6 5 10 14 12 8 6 5 7 8 8 9 9 8 5 3 5 7 7 6 7 8 9 12 12 11 12 14 17 16 12 6 4 6 11 13 10 9 9 13 16 14 11 10 10 10 9 6 5 7 10 10 7 8 10 13 12 6 1 -1 1 6 7 5 4 5 5 1 -0 3 3 4 5 5 5 8 13 13 8 3 4 6 5 4 5 7 6 0 -0 6 10 8 5 5 12 22 21 12 12 14 12 12 13 13 12 10 5 4 7 10 9 7 7 9 8 7 7 8 9 11 11 11 10 8 7 7 8 9 9 9 9 8 6 6 6 5 5 6 4 3 5 7 9 11 11 9 6 5 4 4 4 4 3 4 5 6 7 8 8 8 8 9 8 7 5 5 5 5 5 5 6 5 5 5 6 5 4 3 5 7 6 5 4 4 4 4 5 5 6 6 6 6 5 5 4 5 7 7 7 7 6 6 5 4 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 4 4 3 3 4 4 5 5 5 6 8 9 10 11 9 8 6 5 5 6 5 5 6 8 9 5 5 5 5 5 5 6 6 5 6 6 6 7 7 7 6 6 7 8 8 6 6 5 5 5 5 5 5 6 6 6 6 6 7 6 6 7 7 7 8 7 6 8 9 11 10 10 10 11 11 11 11 10 10 9 8 8 7 7 8 9 7 6 5 5 6 6 7 7 7 8 7 7 7 7 6 7 7 8 8 7 7 8 9 10 13 13 10 9 10 13 15 17 19 20 19 15 10 7 6 6 5 5 5 5 5 5 4 4 4 4 6 6 5 5 4 4 3 2 1 1 2 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 7 7 6 5 4 4 5 7 11 13 14 14 12 10 7 5 4 3 3 3 4 6 7 7 6 6 6 7 8 8 10 11 10 7 5 5 6 7 7 6 6 5 6 6 6 6 5 4 3 3 3 3 3 3 3 4 5 7 7 8 8 7 6 6 7 6 6 5 5 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 4 5 6 7 8 8 8 7 6 6 7 10 8 5 5 5 6 7 8 8 8 9 8 4 5 10 12 12 9 5 4 7 11 16 18 19 20 18 11 4 2 4 7 9 8 8 9 9 10 14 14 13 14 13 12 9 7 6 6 10 11 8 5 6 9 9 7 6 3 2 4 5 6 6 7 6 5 2 0 1 1 -0 -2 -2 6 13 13 10 6 4 5 6 3 2 4 4 2 3 6 7 7 6 8 11 16 15 8 7 12 13 15 15 12 10 7 3 3 7 9 6 4 6 9 10 10 9 8 9 11 12 11 9 8 8 8 8 9 9 9 9 8 7 6 5 5 5 5 3 3 6 7 7 9 9 8 10 9 5 4 4 3 2 3 5 6 7 8 8 8 8 9 8 7 5 4 5 4 5 7 7 6 5 5 6 5 4 4 6 7 5 4 4 4 5 5 5 6 7 6 7 6 5 5 4 6 6 7 7 6 6 5 4 4 3 3 4 5 5 5 5 4 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 5 5 5 5 5 4 4 3 3 4 4 4 5 5 6 7 9 10 12 11 9 6 5 4 4 4 4 5 7 7 6 6 6 6 5 5 5 6 5 6 6 6 7 7 6 6 7 7 8 7 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 9 13 14 12 11 10 10 11 12 12 11 11 10 10 9 8 9 9 8 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 10 12 11 9 8 8 10 12 16 20 24 25 21 15 10 8 7 5 5 5 6 7 7 5 3 3 4 4 5 5 5 5 5 4 4 3 2 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 7 7 6 6 5 4 3 4 5 7 10 12 13 13 12 10 8 6 5 4 3 4 5 6 5 5 7 8 9 9 9 10 9 8 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 4 4 3 2 2 2 3 4 6 7 9 9 7 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 4 5 4 4 5 5 5 5 5 5 5 5 6 8 7 2 3 6 6 6 7 8 8 11 12 9 5 9 17 19 16 11 5 3 6 13 20 24 23 19 11 2 -1 3 7 8 6 7 9 10 9 10 13 12 14 17 14 12 9 8 6 7 10 10 7 4 5 5 4 6 7 6 7 6 4 6 8 9 8 6 3 0 -0 0 -2 -4 -2 8 15 13 10 8 5 5 5 3 3 4 4 4 4 5 6 6 6 8 11 14 16 9 5 8 9 11 14 13 9 7 5 5 8 8 4 3 5 9 12 12 10 9 10 11 11 10 9 9 9 9 9 9 9 8 9 8 7 6 6 5 5 4 3 3 6 6 6 6 6 8 12 12 7 6 6 3 2 2 3 5 7 8 8 8 8 8 8 6 4 4 5 5 5 7 8 6 6 6 6 5 4 4 6 7 6 4 4 4 4 5 6 7 7 7 6 6 5 4 5 6 6 7 7 6 5 5 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 5 5 6 5 5 5 4 4 3 4 4 4 4 5 5 6 8 10 13 12 10 6 4 4 4 3 4 5 6 7 7 7 6 6 5 5 5 6 6 5 5 6 6 6 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 4 6 9 14 14 12 9 9 9 10 12 12 12 11 11 10 9 9 9 9 8 6 5 5 5 6 6 7 8 8 8 7 7 7 7 6 7 7 8 7 7 8 7 7 9 10 10 9 10 9 8 9 13 24 33 34 28 19 13 10 9 8 6 5 6 8 8 6 4 3 3 3 4 5 5 5 5 5 5 5 5 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 7 7 6 5 5 4 4 4 5 7 9 11 12 13 13 13 11 8 6 5 4 5 5 5 6 8 9 10 10 10 9 8 7 7 7 6 6 5 5 5 6 6 5 5 6 6 5 5 4 3 2 1 1 3 4 6 8 9 9 8 7 6 5 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 5 5 6 6 6 6 7 8 8 7 7 8 8 8 11 13 10 7 10 18 21 19 13 7 3 7 15 19 18 14 7 1 -2 2 8 9 6 5 7 10 10 9 11 13 13 15 16 13 11 9 7 6 6 10 10 7 6 6 4 4 5 7 7 10 11 7 6 7 8 7 5 4 4 3 4 2 -0 4 13 16 13 10 10 7 5 5 4 4 6 6 6 4 4 5 5 3 6 9 12 13 7 6 10 7 4 8 12 11 9 10 11 10 8 4 2 5 10 12 11 10 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 7 6 6 6 6 3 2 4 6 5 5 5 8 11 9 6 8 10 5 2 2 3 4 6 8 8 8 7 7 7 5 3 3 3 4 6 8 8 7 6 6 6 5 4 4 6 7 6 5 4 4 4 5 6 7 7 7 6 6 5 4 5 6 6 7 6 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 8 8 8 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 7 9 12 13 11 7 4 4 3 3 4 4 6 8 6 6 6 6 7 5 6 6 6 6 5 6 7 6 5 2 4 7 7 8 7 6 6 6 7 7 7 6 7 7 7 7 7 7 8 7 7 6 5 4 4 6 9 10 9 7 6 5 6 7 9 11 12 12 11 10 9 9 8 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 7 7 7 8 9 9 10 11 10 7 6 12 23 34 39 32 19 9 7 10 11 9 7 7 7 7 7 5 4 4 4 4 5 5 5 5 6 5 6 6 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 7 7 7 7 7 7 6 6 4 4 3 4 5 6 9 12 14 16 16 15 12 10 9 8 7 6 6 7 8 10 10 10 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 4 3 2 1 2 3 4 6 8 9 10 9 8 8 7 6 6 7 6 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 7 7 8 8 8 9 8 7 6 6 9 11 10 7 8 13 16 20 21 12 6 6 7 7 4 1 -2 -3 1 7 9 7 5 6 8 8 6 7 10 12 14 17 16 12 9 8 7 5 4 8 10 8 7 6 5 5 6 6 9 12 12 8 6 5 4 5 5 4 5 5 6 4 5 14 20 17 12 12 10 8 5 5 5 5 6 6 6 3 3 5 3 2 5 6 7 9 8 9 12 9 2 4 12 14 12 11 10 8 6 5 3 6 10 12 10 9 8 9 9 9 9 10 9 11 11 10 9 9 8 7 9 9 7 6 6 8 7 4 2 4 5 5 4 4 7 9 8 7 10 12 7 4 3 3 3 5 7 7 6 6 6 6 4 3 2 3 4 5 7 8 7 6 6 6 6 4 3 5 7 7 6 5 4 4 5 6 7 7 6 6 6 5 5 5 5 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 8 8 8 8 7 7 7 6 5 5 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 8 11 13 11 8 5 3 3 3 3 3 5 6 6 5 5 6 7 7 6 6 7 6 6 6 6 6 6 3 2 7 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 5 7 9 7 5 4 4 3 3 5 6 8 10 11 11 11 10 8 7 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 7 8 8 7 7 7 7 8 9 10 10 11 11 9 8 11 16 25 33 31 20 9 5 10 13 11 12 11 10 8 7 8 7 6 7 6 6 6 6 6 5 5 5 6 6 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 18 15 9 7 4 3 7 16 20 13 10 10 11 9 11 9 9 10 10 16 19 19 15 9 7 11 14 15 17 18 14 4 3 3 1 7 12 14 13 10 9 17 17 13 13 13 14 13 13 12 13 13 14 14 14 14 14 13 12 12 15 17 18 17 15 12 9 8 9 12 13 13 14 14 14 14 13 12 12 14 13 10 6 3 4 7 10 10 9 10 11 12 13 13 13 14 12 12 12 12 12 13 13 13 13 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 12 13 13 12 11 10 9 9 9 10 11 11 10 12 14 13 12 12 13 14 13 11 9 4 4 10 19 22 12 -1 5 22 24 22 18 15 13 12 11 12 13 13 13 14 14 14 14 14 14 14 13 13 13 14 14 14 13 12 13 14 14 13 13 12 14 16 17 17 16 14 13 14 15 17 18 19 18 17 17 18 16 15 14 14 13 13 14 14 13 13 15 17 20 19 15 13 12 13 13 14 14 13 14 14 15 15 16 16 16 15 15 15 15 15 16 17 17 16 16 15 16 16 15 13 12 12 15 17 14 13 14 14 15 15 15 16 16 15 14 15 16 16 16 16 16 15 15 16 16 16 17 16 16 14 14 13 12 11 11 11 11 11 10 10 11 12 12 11 11 10 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 11 12 14 14 15 15 14 13 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 10 11 11 12 11 12 11 11 12 12 12 12 12 12 12 11 10 10 9 9 10 11 11 11 11 12 13 13 13 13 14 14 14 14 14 13 13 15 17 17 14 13 13 13 14 15 14 13 12 11 11 12 13 14 14 14 14 15 15 17 19 18 17 14 12 8 6 8 9 9 9 9 9 10 11 11 8 2 -1 2 11 20 24 24 23 19 16 14 14 14 12 13 13 14 13 13 14 15 14 14 14 15 14 13 13 14 15 15 16 15 14 13 13 13 14 15 15 14 15 15 14 15 16 16 15 16 16 16 15 14 13 12 12 13 14 14 15 15 15 15 14 14 15 14 13 13 13 13 13 13 13 13 13 13 nan
nan nan nan nan nan nan nan 15 19 15 13 8 7 9 12 13 10 7 10 14 17 20 18 14 9 9 10 16 19 19 18 14 8 2 1 3 10 15 15 13 9 11 14 16 16 15 13 12 12 13 13 14 16 15 15 15 14 14 14 13 13 14 15 16 17 15 12 10 9 9 9 9 10 12 13 13 12 11 9 9 13 15 13 10 6 5 8 10 10 10 11 12 13 13 14 14 13 12 11 12 12 12 13 13 13 12 11 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 13 14 14 13 11 10 9 9 10 10 10 11 12 12 13 12 12 12 14 15 14 12 11 10 11 14 17 16 10 6 7 13 18 20 18 14 13 11 11 12 13 13 13 13 13 13 14 14 14 14 14 13 14 13 14 14 13 12 13 14 14 13 12 12 14 17 17 16 14 14 14 14 15 16 18 19 18 16 17 16 15 15 15 14 13 14 14 13 12 11 10 13 21 22 16 15 14 14 14 14 14 14 14 14 14 14 16 17 18 17 16 15 15 15 16 17 17 17 16 16 16 16 16 15 11 8 10 14 14 14 14 15 17 19 20 20 18 14 13 13 13 13 13 13 13 13 13 14 14 15 15 16 16 15 14 13 13 12 11 11 11 10 10 11 11 11 10 10 10 11 11 11 12 12 11 11 10 10 11 10 10 10 11 11 11 11 11 12 12 12 13 13 13 12 11 10 10 10 9 10 10 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 12 11 11 12 12 12 12 11 10 10 9 9 10 11 11 11 12 12 12 13 13 13 13 14 14 14 14 13 13 15 16 15 14 13 14 14 14 14 13 11 10 9 11 12 12 13 14 13 13 14 15 15 16 18 18 16 13 14 13 13 14 14 11 10 10 11 11 11 12 10 7 8 15 23 29 26 18 16 16 15 14 13 13 12 12 13 14 14 14 14 14 15 15 16 15 14 13 13 14 15 15 15 14 14 14 13 14 14 14 14 14 15 17 17 17 15 13 13 14 16 16 15 14 13 13 13 14 13 15 16 15 15 15 14 13 12 12 13 13 12 13 13 12 12 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 7 6 6 10 14 16 16 16 15 15 10 10 16 15 14 15 15 13 10 8 8 12 16 19 18 14 11 9 12 13 12 12 12 12 13 14 15 16 16 15 14 14 14 13 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 11 10 9 8 8 10 13 13 11 9 7 8 10 10 11 12 13 14 15 15 15 14 12 11 12 12 12 13 13 12 11 11 10 11 11 11 11 11 11 11 11 12 11 11 13 12 12 13 14 14 13 12 11 11 10 10 11 10 11 12 13 13 12 12 13 13 14 14 9 11 15 16 15 14 14 13 13 11 7 9 14 18 17 13 12 12 12 12 13 13 13 13 13 14 14 14 14 14 13 13 14 13 13 13 13 13 13 13 13 13 12 13 15 16 16 15 13 11 7 8 15 27 31 23 18 16 15 15 15 15 13 13 14 15 15 14 13 12 9 9 14 17 15 16 16 15 15 15 14 14 14 14 13 13 14 15 17 17 16 14 13 12 14 15 16 16 15 14 15 15 17 19 17 14 13 15 16 16 15 14 14 16 19 20 18 15 13 12 13 12 13 13 13 13 13 13 14 14 14 14 15 15 15 14 13 13 13 12 11 10 10 11 10 9 10 10 10 10 11 10 10 11 12 11 10 11 11 12 11 11 11 11 12 12 12 12 13 14 14 13 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 11 12 12 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 13 14 14 14 14 14 13 14 14 15 15 14 12 12 16 15 12 11 8 5 5 8 12 13 13 13 13 13 13 14 15 15 15 14 16 15 13 16 18 18 17 15 12 12 12 11 11 11 13 13 14 15 18 20 20 17 15 13 14 14 13 13 13 12 13 14 15 15 15 15 14 14 15 15 14 14 14 14 15 15 15 14 14 14 15 15 14 14 14 14 14 15 18 19 17 14 11 13 14 15 14 14 14 14 14 13 13 13 15 16 15 16 15 14 13 12 12 12 12 13 14 14 13 12 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 10 10 9 10 15 16 17 12 12 14 20 20 12 10 10 14 16 14 11 8 10 11 11 12 12 13 13 15 15 14 14 14 13 13 13 14 13 12 11 11 10 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 8 8 10 11 11 10 10 10 10 10 11 12 13 14 14 15 15 16 14 12 11 11 12 13 13 12 12 11 11 10 10 11 11 10 10 11 10 11 11 12 12 12 13 13 13 14 14 12 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 14 11 7 10 16 18 17 15 14 13 12 12 10 10 14 16 14 12 12 12 13 13 13 13 13 12 12 13 14 14 14 13 13 13 13 14 13 13 13 14 14 13 13 13 13 15 15 15 15 14 13 10 3 -1 4 20 36 36 31 22 15 14 15 14 13 12 13 14 15 15 14 14 13 11 12 12 13 14 15 16 15 15 15 14 14 14 14 13 12 13 15 16 15 14 12 11 11 12 15 16 15 14 13 13 13 18 21 18 16 16 17 16 14 12 6 3 6 11 16 17 16 15 14 14 13 14 15 14 14 14 14 14 15 16 16 15 15 15 14 13 13 11 11 11 11 10 10 10 11 11 12 11 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 14 13 14 14 13 12 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 10 11 11 12 12 12 12 12 11 12 12 11 11 11 10 11 11 11 11 11 11 11 12 12 12 13 13 13 14 14 14 14 14 14 13 13 14 14 14 14 14 14 12 9 6 6 7 9 11 13 14 13 13 13 14 15 15 15 14 13 13 13 14 15 18 18 15 13 11 12 13 13 13 12 13 13 13 14 14 14 13 13 14 15 14 14 14 14 14 13 12 13 14 15 15 15 14 14 14 15 14 14 14 14 15 15 16 15 14 14 14 15 15 15 15 14 14 14 16 19 20 17 12 11 13 14 14 13 14 14 13 13 12 13 14 15 15 16 16 15 15 14 12 12 12 12 12 12 13 15 15 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 16 10 11 18 16 13 8 10 12 13 11 9 8 11 13 12 11 12 12 13 15 14 12 11 11 11 12 11 12 13 12 11 10 9 8 8 7 7 6 7 8 9 9 9 9 8 8 8 10 10 10 10 10 10 11 11 11 11 11 12 12 13 13 14 14 14 14 13 12 11 11 12 13 13 13 12 12 12 11 10 10 10 10 10 11 11 11 12 12 13 13 12 13 15 14 13 12 11 10 10 11 12 12 13 14 14 14 14 14 13 14 14 14 12 11 12 14 16 16 14 12 12 13 13 13 13 12 12 12 12 12 13 13 14 14 13 13 13 11 12 13 14 14 13 13 13 14 14 14 14 14 13 13 14 13 13 15 15 15 14 14 14 13 12 8 1 -3 3 16 28 34 34 25 17 13 14 14 13 13 14 14 15 15 15 15 13 12 12 13 13 14 15 15 16 17 17 17 16 15 16 15 14 14 15 15 15 15 13 12 13 15 16 17 16 15 13 9 13 19 19 17 16 16 15 15 14 10 5 5 8 12 15 16 17 16 15 14 15 15 15 15 14 14 14 14 15 15 15 15 14 13 12 11 11 11 12 11 11 11 11 11 12 12 12 13 13 12 11 11 11 12 12 12 12 12 12 13 12 13 14 14 14 13 11 11 10 10 10 9 10 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 11 12 11 11 11 11 11 11 10 11 11 11 12 12 12 13 13 13 14 15 15 14 14 13 14 13 13 14 15 15 15 14 13 10 9 9 11 13 14 14 14 13 13 14 15 15 15 15 14 13 13 12 12 13 16 16 14 12 11 12 12 12 13 12 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 14 12 12 13 14 15 16 15 14 14 15 15 15 14 14 15 16 16 15 15 14 14 14 14 14 14 14 15 15 15 16 17 20 18 13 12 12 12 12 14 15 14 13 12 12 13 14 14 15 15 15 14 14 14 13 12 12 12 11 11 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 9 15 17 15 12 13 13 11 10 11 12 13 14 13 11 11 11 11 10 10 11 12 13 12 11 9 8 7 6 6 6 7 8 7 8 9 10 10 10 9 10 10 10 9 9 10 11 12 13 12 12 12 12 13 13 13 13 13 12 12 11 11 11 12 13 13 13 13 12 12 12 11 10 10 11 12 12 12 12 13 14 13 13 13 14 14 14 13 12 11 11 10 11 13 14 15 14 14 14 13 14 14 14 13 14 14 13 12 13 13 14 13 13 13 13 12 12 12 12 12 11 12 13 14 14 14 14 14 13 12 12 11 12 13 14 14 14 13 13 14 14 14 14 14 13 14 14 14 15 15 15 14 14 13 13 13 14 10 3 -2 -1 8 19 37 37 22 15 14 14 14 14 13 14 14 15 15 15 14 13 13 12 13 14 14 14 15 19 25 27 23 19 20 19 17 16 16 15 14 15 15 14 13 14 14 16 17 16 15 13 13 16 17 17 17 16 15 16 16 16 14 11 10 10 11 12 15 16 16 15 14 15 15 15 14 14 14 14 13 13 13 13 13 12 12 11 11 12 12 12 12 12 12 12 12 12 12 13 14 13 12 11 11 12 12 13 13 13 14 14 14 14 14 13 12 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 12 13 14 14 15 15 14 14 14 14 14 14 15 16 16 14 13 13 12 12 12 12 14 14 14 13 14 14 14 14 15 15 14 14 13 13 12 11 12 14 16 16 15 13 12 12 12 12 12 13 13 13 13 13 13 13 13 15 15 14 13 13 13 13 13 13 13 13 13 13 15 16 15 15 16 15 15 14 14 14 15 15 15 15 14 14 14 13 14 14 14 14 14 15 16 16 17 17 18 16 14 12 11 13 14 16 15 13 12 12 12 13 13 14 15 15 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 13 14 13 12 12 12 11 11 12 12 13 14 13 12 12 11 10 10 9 9 10 11 10 9 9 9 10 11 12 11 10 10 11 11 11 11 12 14 14 13 12 12 13 12 13 12 12 12 11 12 11 11 11 12 13 14 13 13 12 12 11 11 11 12 12 13 13 13 14 14 14 14 14 13 14 14 14 13 12 10 10 10 13 14 14 14 14 14 14 13 13 12 12 13 12 12 12 13 13 13 13 13 13 13 13 12 11 11 12 12 12 12 13 14 14 14 14 14 13 12 12 12 12 12 13 15 15 14 13 14 14 14 14 14 15 15 15 15 14 15 15 15 14 14 14 13 14 15 12 7 0 -4 2 28 42 32 23 17 14 14 14 13 14 14 14 15 16 15 14 14 13 13 14 14 11 8 10 21 33 32 25 25 22 19 18 17 15 14 14 14 14 14 14 14 14 16 16 15 16 16 15 15 15 14 14 14 14 14 14 12 11 10 9 9 9 11 13 14 15 15 14 15 15 15 16 15 14 14 13 13 14 13 12 12 11 11 11 11 12 12 13 13 13 12 12 12 11 12 13 14 14 14 15 15 15 15 16 16 15 15 14 13 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 10 11 11 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 11 12 12 12 14 14 13 13 14 15 15 15 15 15 14 14 14 14 15 17 15 12 10 11 12 12 11 12 14 13 13 14 15 15 15 15 15 14 13 13 12 12 11 11 12 15 18 18 17 15 13 12 12 12 13 14 13 13 13 12 12 13 13 14 14 14 14 13 13 12 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 14 14 14 14 13 13 14 14 14 14 14 15 15 15 15 16 18 18 16 14 13 13 13 14 15 15 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 18 22 22 23 24 24 20 20 22 21 20 21 21 22 25 27 25 24 24 26 27 26 23 21 22 24 24 23 22 20 19 16 13 12 12 13 13 12 11 9 9 12 11 10 8 6 6 7 8 10 10 9 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 44 41 28 15 6 3 5 10 16 20 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 1 5 10 13 22 25 24 23 21 19 18 17 16 18 20 20 19 19 21 20 23 31 38 42 32 15 5 10 13 11 5 1 0 0 5 32 54 48 30 9 4 32 66 68 46 32 18 5 0 0 0 0 1 5 18 34 45 56 65 68 67 62 54 46 37 30 33 40 40 38 28 32 16 13 33 34 35 24 23 17 12 4 2 4 6 7 5 6 2 0 3 9 10 19 37 60 49 37 33 41 62 72 75 81 88 102 119 133 142 146 144 137 128 121 116 114 121 124 115 104 96 94 92 89 80 71 66 66 82 93 86 94 103 99 99 98 97 101 113 133 148 155 155 133 100 78 73 84 95 106 118 120 122 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 nan nan nan 16 15 16 18 20 20 13 10 14 15 12 12 16 21 24 25 22 19 18 20 20 19 16 14 15 17 18 18 17 15 14 13 13 12 12 12 8 6 5 3 2 4 3 2 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 8 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 4 12 21 30 36 34 25 15 7 6 10 17 22 22 18 12 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 3 13 15 21 24 23 20 18 18 20 20 17 18 20 20 19 16 14 15 19 32 40 38 27 15 4 11 18 13 6 4 4 4 20 46 63 57 38 14 8 29 56 59 43 31 21 7 0 0 0 0 0 0 3 9 21 37 50 59 59 54 50 42 27 22 24 17 14 11 3 5 1 0 1 6 12 16 24 25 25 20 16 9 6 5 2 1 0 0 1 3 2 13 24 65 56 41 50 64 83 88 81 75 71 86 104 127 143 149 147 140 130 122 116 117 124 130 133 126 110 96 94 93 87 78 68 63 65 69 65 73 84 85 81 80 88 111 145 167 163 160 150 125 101 88 87 95 103 110 114 118 121 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 nan 19 18 14 13 15 17 16 11 7 9 12 10 8 12 17 20 20 17 16 16 17 18 19 16 12 11 12 14 14 13 12 10 10 10 11 11 10 9 7 5 4 3 2 1 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 7 6 6 6 5 5 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 15 22 27 27 23 17 12 13 19 24 26 24 21 16 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 12 18 21 22 16 12 12 13 17 18 16 16 20 21 18 14 12 16 26 39 41 34 24 16 8 6 11 10 9 15 20 24 31 44 59 60 46 26 18 31 47 50 40 32 22 7 0 0 0 0 0 0 0 0 2 9 19 34 39 33 24 24 35 26 35 9 2 2 0 0 0 0 0 0 1 7 13 17 24 32 37 34 26 16 12 13 15 8 4 5 12 30 43 57 53 54 62 69 74 74 71 56 49 74 99 119 139 150 151 143 134 127 120 117 123 136 146 142 128 114 107 107 106 95 81 73 68 64 60 62 68 69 68 77 95 130 165 176 166 155 137 115 102 100 103 107 110 112 112 116 120 122 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 nan 16 20 17 15 15 16 14 11 8 9 12 11 10 12 15 18 17 15 16 17 18 20 22 22 16 12 8 9 9 10 11 11 10 9 10 10 10 10 9 8 6 5 3 2 0 0 0 0 0 0 1 1 2 2 3 3 3 2 2 3 4 5 6 6 5 4 3 2 1 1 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 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 2 7 10 14 17 19 19 18 18 22 28 31 29 28 28 25 18 8 1 0 0 0 0 0 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 17 12 9 9 10 13 14 11 12 16 20 17 15 24 38 45 45 41 29 21 17 9 2 4 10 21 32 36 36 36 41 52 57 50 38 30 36 47 48 41 33 22 8 3 1 0 0 0 0 0 0 0 0 1 4 10 8 4 3 1 6 5 0 0 0 0 0 0 0 0 0 0 1 3 5 7 17 35 45 43 33 35 40 41 30 17 18 31 41 45 46 48 53 51 48 45 40 46 57 77 99 114 127 139 151 151 147 141 134 128 122 123 137 149 148 138 128 118 119 120 110 95 88 81 76 71 68 71 74 78 90 113 145 165 165 158 148 131 113 108 116 120 120 118 115 116 118 120 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 10 16 18 17 17 16 14 11 8 9 12 13 12 12 16 19 19 18 17 17 18 20 23 24 20 15 8 5 4 6 9 10 9 8 8 9 9 8 8 8 6 5 4 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 2 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 7 9 11 12 14 15 18 26 31 33 33 36 37 33 22 11 4 1 1 0 0 1 4 6 8 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 11 11 9 8 9 10 9 7 6 8 10 11 20 40 51 47 40 32 24 21 19 10 1 2 11 29 45 46 42 38 40 45 51 50 44 39 42 50 48 41 32 21 13 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 19 21 30 42 46 46 52 59 60 52 36 28 38 51 42 23 30 33 46 65 64 25 25 72 120 132 132 132 125 124 135 141 141 140 136 131 132 143 150 145 140 136 133 138 138 126 111 103 97 93 87 81 82 89 98 114 138 153 150 149 155 150 137 128 126 132 133 130 126 122 121 118 115 115 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 9 12 14 14 14 13 10 9 8 10 11 10 11 15 19 22 22 21 19 16 17 21 24 22 19 13 7 5 6 8 9 9 7 7 7 7 7 6 5 5 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 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 1 2 4 6 7 8 9 10 12 17 22 26 31 37 40 34 23 13 6 3 2 1 2 4 10 12 11 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 4 12 13 10 8 9 9 10 9 6 3 3 8 28 50 48 34 26 22 20 20 19 12 3 1 7 25 46 50 45 38 37 40 45 49 47 44 46 52 48 39 31 16 14 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 9 6 2 0 0 0 0 0 0 2 13 34 44 46 49 54 61 64 60 51 40 34 43 43 21 21 33 59 106 116 79 58 97 138 147 141 131 116 107 109 120 130 137 138 141 151 158 159 153 150 153 160 165 161 148 130 118 114 110 104 95 92 102 123 136 146 140 118 123 147 154 147 146 143 140 134 133 128 124 118 110 107 110 nan nan nan nan nan nan nan nan nan 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 8 7 7 8 9 10 10 10 10 9 8 7 7 8 13 20 24 25 24 20 17 16 20 24 23 21 18 14 12 11 11 11 9 8 7 7 7 6 4 3 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 1 1 1 0 0 0 0 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 1 1 2 3 4 6 7 7 7 9 13 20 26 29 26 20 13 8 5 4 4 6 10 13 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 20 13 8 8 11 16 19 14 6 3 13 36 46 27 12 13 16 19 21 21 15 7 0 2 13 34 47 45 36 30 33 40 48 52 50 50 52 48 40 34 21 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 11 12 10 5 2 0 0 0 0 0 2 12 26 29 27 37 42 54 52 58 44 21 26 53 46 46 56 78 133 136 127 125 144 155 153 145 138 126 113 104 108 118 127 134 143 160 166 165 163 164 171 182 185 178 163 144 129 125 124 120 109 100 104 122 134 134 125 103 103 120 134 140 154 152 144 133 130 126 119 109 103 101 105 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 15 10 8 7 6 6 7 9 10 11 10 9 8 7 9 14 20 24 24 22 18 16 16 18 22 22 22 21 19 17 16 15 14 11 9 7 6 5 4 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 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 1 3 4 4 4 3 2 3 6 11 14 14 14 12 8 6 5 7 11 13 12 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 1 2 9 20 23 16 8 9 16 26 36 32 19 16 29 46 39 18 11 13 17 20 23 24 20 12 0 0 3 13 30 35 26 18 22 30 42 53 59 59 55 47 41 37 27 17 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 12 11 7 3 1 0 0 0 0 0 1 4 3 13 10 6 16 24 13 10 20 60 61 67 73 106 135 138 140 144 146 148 150 150 147 138 126 117 115 120 128 134 141 152 159 159 161 168 178 185 185 181 167 147 133 131 134 131 124 108 99 111 121 124 129 125 121 118 116 126 145 152 147 137 130 124 116 106 97 94 98 100 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 14 15 10 7 6 6 6 7 8 10 11 11 11 10 11 14 19 21 18 15 12 11 11 13 15 17 19 19 18 17 16 14 13 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 1 3 5 7 10 11 9 8 8 10 11 9 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 2 7 17 20 13 8 10 18 28 39 40 32 30 38 40 28 19 19 20 20 22 25 26 24 20 10 2 0 2 15 20 21 17 13 14 24 41 57 65 61 51 43 39 24 18 16 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 11 12 11 4 5 3 0 0 0 0 0 0 0 3 3 0 7 12 15 20 35 52 52 61 76 94 116 130 135 136 137 142 147 150 150 144 134 125 122 127 134 136 140 143 143 145 152 163 172 179 179 176 167 148 133 131 135 134 131 117 107 108 113 118 126 136 143 139 127 125 137 148 149 141 133 127 117 104 93 89 90 91 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 9 15 15 11 8 7 6 5 6 7 9 10 10 10 10 11 14 15 13 11 9 8 7 7 9 12 14 14 14 13 12 11 10 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 12 11 10 11 10 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 14 15 8 4 10 17 21 26 30 30 29 28 23 18 19 23 25 24 25 26 27 27 25 16 3 0 0 0 10 16 15 11 4 6 17 34 49 56 55 50 44 32 24 18 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 15 2 5 3 0 0 0 0 0 0 3 10 15 10 16 27 35 46 64 84 76 72 85 97 108 119 125 125 126 131 139 146 148 144 136 126 124 126 131 129 131 137 133 133 143 154 159 169 178 176 173 162 148 136 131 132 131 124 114 109 108 108 110 116 129 137 130 123 128 138 142 139 136 132 120 105 94 89 84 79 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 11 16 17 14 11 8 5 4 7 8 8 8 8 8 7 9 11 12 12 11 10 9 8 8 9 11 11 10 9 8 8 8 7 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 12 11 11 10 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 4 12 13 7 5 9 14 14 15 18 22 22 18 13 10 12 17 19 21 23 25 26 27 26 19 5 0 0 0 0 4 3 5 1 0 2 7 19 30 43 50 47 41 33 23 16 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 8 2 2 0 0 0 0 1 1 0 4 16 28 31 37 44 51 66 88 110 113 106 105 109 108 110 112 111 113 121 131 140 144 142 136 130 126 124 124 122 126 134 134 130 136 146 150 157 170 178 182 183 177 160 145 140 136 130 120 110 106 102 97 97 103 114 119 116 116 124 130 129 131 130 121 107 97 91 82 75 nan nan nan nan nan nan nan 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 7 11 14 15 15 12 7 3 4 7 8 9 9 7 5 6 8 10 12 13 12 12 10 10 10 10 10 9 7 6 5 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 10 9 8 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 13 8 6 11 15 13 10 12 16 18 16 10 1 2 3 3 9 12 17 20 20 20 14 6 1 0 0 0 0 0 0 0 0 0 0 2 6 12 23 30 31 30 23 17 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 3 8 11 8 3 2 12 26 42 54 61 66 77 94 106 110 112 117 122 118 112 106 104 105 114 122 133 141 141 136 133 130 125 120 119 125 140 143 135 134 141 145 149 159 171 181 188 190 184 169 156 148 141 134 126 122 115 104 96 96 100 110 112 109 112 116 116 118 119 115 108 100 92 83 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 6 6 6 7 9 12 14 11 5 1 4 7 9 10 8 6 4 5 7 8 9 9 9 8 8 8 10 11 10 7 5 3 2 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 1 4 6 7 7 6 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 2 0 0 0 2 7 11 10 12 17 20 18 16 14 16 17 16 9 1 0 0 0 0 2 5 8 8 9 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 11 11 11 9 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 2 4 9 23 33 28 15 5 6 16 41 69 80 81 82 85 85 85 90 105 121 128 125 114 113 112 112 116 125 135 138 134 132 132 128 123 124 136 152 154 143 135 136 142 148 152 158 166 174 180 184 180 170 162 156 155 156 154 142 126 114 107 102 108 113 115 114 112 110 109 109 108 104 96 87 81 77 75 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 8 7 6 5 4 3 5 9 13 13 5 2 3 6 10 10 8 5 4 5 6 6 5 4 4 4 6 9 11 10 8 5 2 1 1 2 5 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 3 2 1 0 0 0 0 0 2 3 4 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 4 4 5 4 3 2 2 4 5 6 5 2 2 2 3 8 13 19 24 24 25 25 24 21 21 20 14 4 1 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 18 31 38 30 13 4 6 25 54 76 89 88 82 78 74 74 82 104 125 134 126 126 126 121 117 119 125 127 125 126 127 126 124 126 137 153 157 149 137 131 136 146 150 149 147 152 159 171 169 168 163 160 164 169 172 159 144 134 127 120 119 124 130 130 120 112 106 104 102 96 85 76 70 71 72 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 10 9 7 6 5 4 1 1 2 6 12 13 9 4 3 8 10 9 6 4 5 6 6 5 4 4 4 5 7 9 10 9 7 5 3 2 3 6 10 9 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 1 3 4 4 3 1 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 9 9 8 9 10 9 8 7 8 9 9 9 8 6 4 3 2 3 10 16 17 21 23 26 27 26 26 25 22 16 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 1 3 8 13 21 22 12 3 1 7 22 53 88 94 87 84 88 83 81 90 110 132 138 141 142 136 128 123 121 120 119 120 122 122 121 120 125 137 145 147 140 131 132 141 149 146 137 136 138 143 150 153 153 156 161 168 169 162 155 151 150 150 144 141 144 146 137 119 104 100 102 96 86 72 62 67 83 nan nan nan nan nan 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 6 5 7 6 3 1 0 1 4 9 13 10 6 7 11 10 6 4 4 6 6 6 6 6 5 5 5 6 8 9 9 8 7 6 6 7 10 11 8 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 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 7 9 12 14 16 18 20 18 12 10 10 11 11 11 10 9 7 5 4 4 3 4 7 6 9 10 16 19 22 23 24 23 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 1 0 0 1 21 66 87 92 96 109 102 94 91 101 124 144 156 159 152 143 136 129 123 120 120 121 121 121 120 119 123 129 135 135 130 128 135 142 142 134 130 130 129 127 129 133 139 149 159 163 162 164 165 166 166 157 148 147 149 149 133 108 101 110 112 105 89 77 82 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 7 3 3 8 12 10 5 2 0 0 3 8 12 14 13 14 12 7 3 3 4 5 5 5 5 5 4 4 4 6 7 8 7 6 5 5 6 7 8 8 5 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 10 11 12 11 11 13 16 21 25 25 17 11 9 10 12 12 12 11 9 7 6 5 4 4 4 4 3 3 4 6 8 9 12 12 10 8 8 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 1 0 0 0 0 0 0 2 27 57 82 99 117 120 111 102 101 115 138 157 163 158 152 147 139 132 128 128 126 125 126 127 122 119 120 124 122 120 122 128 135 139 134 128 126 123 119 116 117 124 135 150 160 165 170 170 165 156 142 136 143 147 145 135 119 114 121 126 122 111 104 106 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 1 2 5 13 17 14 10 4 0 0 3 6 11 14 16 16 10 4 3 3 4 3 2 3 3 3 3 2 3 4 4 3 2 2 2 3 3 4 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 4 3 2 2 2 2 1 1 1 2 2 2 1 0 0 0 2 3 5 6 7 8 10 12 13 15 13 10 9 10 12 15 18 15 9 8 8 10 12 13 12 10 8 7 6 6 5 5 4 4 4 3 3 3 4 4 5 5 4 4 5 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 4 27 63 91 113 129 129 117 105 108 126 148 157 156 152 152 150 145 139 136 130 128 129 132 128 122 120 119 116 117 123 130 137 139 134 126 119 116 114 112 113 117 127 143 159 170 175 169 146 128 126 129 143 147 129 114 119 128 129 121 113 113 119 120 117 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 2 7 12 16 18 15 7 2 0 1 4 9 15 19 16 9 6 6 6 4 2 2 2 2 2 1 1 1 2 1 0 0 0 0 0 1 2 2 2 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 7 6 6 5 5 5 4 3 3 4 5 5 5 6 7 7 7 9 10 11 11 12 14 17 16 12 9 8 8 7 8 8 7 6 7 8 9 11 12 11 10 8 7 6 6 6 5 4 4 4 4 4 4 3 3 3 3 2 3 3 4 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 6 2 0 0 0 0 8 26 19 8 3 1 14 48 78 98 119 135 131 114 107 117 136 149 151 149 150 150 148 143 139 132 128 128 129 127 123 119 116 115 118 129 143 148 142 134 125 117 115 115 114 114 117 124 137 154 169 177 167 134 115 121 134 144 144 127 107 106 117 119 106 95 107 125 128 120 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 1 4 9 16 23 23 13 5 1 1 4 10 17 19 16 12 11 11 9 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 8 8 8 8 7 7 6 6 8 10 10 9 5 2 1 5 9 12 13 12 12 13 14 15 15 13 10 9 8 7 6 6 6 6 7 11 14 12 12 11 10 9 7 7 7 6 6 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 1 1 2 3 4 5 8 12 13 7 2 0 0 0 12 40 57 42 16 5 12 38 71 85 98 120 134 125 109 108 124 143 149 146 142 139 135 134 135 135 130 128 129 129 125 118 116 116 120 134 156 164 144 128 121 116 117 118 119 120 122 125 131 143 161 173 171 144 122 125 134 141 138 121 101 88 91 100 104 107 119 129 129 123 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 2 7 16 24 23 16 8 1 1 6 12 17 16 12 12 10 9 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 8 8 8 7 6 7 9 8 6 2 0 0 4 9 11 11 10 10 12 13 15 14 13 11 10 8 6 6 6 6 7 9 18 26 28 22 15 11 9 7 7 8 7 6 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 13 14 11 4 1 5 7 8 8 6 4 3 5 8 7 4 1 1 4 12 37 70 66 33 15 17 37 76 88 89 107 132 134 112 100 111 136 147 144 136 133 131 131 133 137 135 131 132 133 129 122 123 122 126 140 163 172 146 120 114 112 115 117 121 126 127 126 127 131 146 165 175 165 146 137 136 135 129 114 94 81 88 112 129 130 131 129 126 127 130 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 0 0 0 0 0 0 0 2 12 21 23 19 11 6 7 12 14 13 10 8 7 7 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 7 6 5 5 5 4 1 0 0 0 0 2 6 8 7 7 9 11 13 13 11 10 10 8 6 5 6 7 8 9 12 23 32 34 28 18 11 8 8 7 8 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 27 28 24 17 10 9 12 12 11 10 8 6 3 1 1 1 0 0 2 7 10 24 59 70 45 26 22 37 78 100 104 115 133 136 116 100 104 126 142 143 136 134 135 134 134 138 140 136 135 136 136 131 130 130 132 144 167 176 151 128 117 111 110 112 118 126 129 127 124 124 132 152 169 173 170 161 149 139 125 120 113 108 120 143 155 147 135 127 125 127 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 2 3 2 1 0 0 0 0 0 0 3 10 17 21 20 17 16 16 15 11 6 3 2 2 3 4 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 1 2 1 1 0 0 0 0 0 0 1 2 2 3 6 9 10 10 9 9 9 7 5 5 6 8 9 9 12 19 24 23 19 12 8 8 9 8 7 7 6 5 5 5 6 6 6 5 5 5 5 5 6 5 5 5 5 5 6 6 7 6 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 25 36 29 20 14 7 7 10 10 10 9 9 8 6 4 2 0 0 0 3 7 7 11 34 57 55 39 29 37 67 98 122 136 144 142 123 103 99 114 133 140 138 137 140 138 134 140 140 138 138 140 138 132 130 130 137 150 169 175 164 151 140 127 115 110 112 119 125 128 126 122 122 137 160 167 184 187 172 159 143 131 128 135 147 156 153 141 132 128 129 131 131 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 0 0 3 6 5 2 0 0 0 0 0 0 0 3 7 12 18 22 23 22 18 12 5 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 7 8 9 8 6 6 6 7 9 9 9 9 11 12 11 8 7 6 8 8 8 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 10 15 18 17 14 9 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 16 25 22 14 9 4 1 2 3 5 7 9 9 9 8 7 4 0 0 0 2 8 6 5 11 27 46 46 39 42 60 89 118 138 150 152 135 109 96 104 120 131 135 139 143 139 129 142 141 140 139 139 135 128 124 127 136 150 165 172 173 174 170 156 135 118 112 112 116 123 128 123 117 128 154 168 178 182 178 173 168 155 135 133 146 147 135 125 125 130 134 135 134 132 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 4 4 6 7 5 1 0 0 0 0 0 0 0 1 4 9 19 24 24 20 13 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 9 7 6 6 7 8 8 8 8 8 7 7 6 6 6 7 7 6 5 5 5 5 5 6 5 5 5 6 6 6 6 7 7 7 7 6 6 7 7 8 13 20 24 25 24 22 17 11 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 6 21 34 39 32 14 4 2 1 0 0 0 1 3 6 8 9 9 8 6 1 0 0 0 4 5 5 4 9 21 34 38 45 59 81 107 129 147 157 147 121 101 98 104 113 123 137 142 140 143 143 142 142 140 137 132 127 123 125 134 147 161 170 177 183 184 176 162 140 120 110 107 110 117 119 117 127 147 166 173 170 165 163 166 167 155 145 150 144 130 117 120 126 126 119 111 117 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 21 16 11 8 8 8 3 1 0 0 0 0 0 0 0 0 4 12 18 19 16 11 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 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 12 9 8 7 6 6 6 6 6 6 7 7 6 4 4 5 5 5 4 4 4 4 5 6 6 5 5 5 5 6 6 7 7 7 7 7 8 7 7 8 15 20 22 23 24 25 24 21 15 8 3 0 0 0 0 0 0 0 1 2 1 1 2 2 4 4 2 2 1 0 1 2 4 2 0 6 17 34 46 41 26 15 14 14 10 4 1 0 1 4 7 8 9 8 6 2 0 0 0 1 1 1 0 1 6 16 24 35 51 69 91 116 138 152 152 136 109 96 94 96 104 123 134 135 139 138 138 140 141 139 136 132 126 125 129 138 151 162 169 172 174 172 168 158 137 116 107 105 109 116 121 125 137 154 163 165 164 155 152 151 150 147 146 147 148 145 133 125 113 99 86 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 24 26 26 24 18 15 13 10 5 3 2 2 0 0 0 0 0 0 3 7 9 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 12 15 12 9 7 6 6 5 5 5 6 7 7 6 4 3 4 4 4 4 4 4 4 5 5 6 6 6 5 5 5 6 7 7 8 8 8 8 7 7 8 12 13 14 15 15 18 21 22 21 16 9 3 1 0 1 1 1 6 7 7 6 5 7 10 14 11 10 10 6 5 7 8 10 6 1 4 11 22 32 35 32 31 35 42 37 21 6 1 1 5 8 10 10 7 4 1 0 0 0 0 0 0 0 0 1 4 8 14 26 44 61 86 117 139 144 138 124 104 94 90 92 102 114 121 127 130 130 131 133 137 139 136 132 126 125 127 135 146 151 151 152 157 161 159 143 125 116 113 119 131 135 132 132 139 141 156 175 169 154 146 140 133 125 131 148 160 158 144 129 118 111 114 120 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 23 24 25 26 24 22 21 19 18 14 11 9 5 2 1 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 8 12 14 12 9 7 6 6 5 5 5 6 7 7 6 5 4 3 4 4 4 4 4 4 4 5 6 6 5 4 4 4 6 7 7 7 8 8 8 7 7 7 8 8 9 8 7 8 11 14 18 19 16 10 5 2 0 2 7 15 19 16 14 14 18 21 22 21 21 20 18 20 16 12 8 3 1 2 7 14 17 17 16 21 30 40 44 33 16 5 2 7 11 13 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 2 5 13 29 46 79 113 131 131 130 118 101 92 88 89 93 101 112 119 123 124 125 129 132 134 133 127 125 126 127 132 132 133 136 145 152 150 139 129 124 125 136 151 154 143 129 136 154 158 182 182 165 154 144 131 120 122 136 148 155 154 151 147 145 140 135 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 27 25 23 22 22 23 24 24 24 22 20 17 14 8 4 2 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 8 8 8 9 10 8 7 7 6 6 5 5 5 6 7 6 5 5 4 4 4 5 5 5 5 4 5 5 5 5 4 4 3 3 4 6 6 6 6 6 7 7 7 7 7 8 8 7 7 6 6 7 10 14 16 16 13 9 7 9 14 20 25 24 22 23 26 26 26 24 24 23 22 19 15 10 4 1 0 0 4 12 15 13 10 8 12 16 17 18 12 2 2 4 11 15 15 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 19 40 72 109 128 136 130 109 94 88 82 79 80 87 99 111 117 120 121 122 128 130 127 127 129 130 128 124 123 127 138 145 143 135 130 129 132 146 163 164 149 123 122 149 165 172 172 162 152 145 136 131 131 137 138 137 140 148 152 149 142 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 27 27 25 21 19 19 21 23 21 19 18 18 16 13 10 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 9 8 7 7 6 6 6 7 6 5 5 6 6 6 6 5 4 4 5 5 5 5 7 9 7 5 5 5 5 4 3 3 3 3 4 5 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 5 6 7 11 14 16 15 14 14 17 21 24 25 25 26 26 26 25 24 24 22 21 18 15 9 4 0 0 0 2 8 14 15 14 12 11 9 4 1 2 1 0 0 8 14 17 14 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 16 35 71 106 130 136 121 100 89 80 72 66 65 72 85 99 109 117 121 124 126 128 130 132 131 126 123 121 124 135 146 145 138 135 133 142 158 166 166 148 122 112 121 137 147 150 147 141 136 134 135 140 144 138 123 120 132 142 141 137 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
16 20 24 25 22 18 17 18 18 16 14 13 13 13 13 14 12 9 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 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 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 10 8 7 6 6 6 6 6 6 6 5 5 7 8 8 7 5 4 4 4 5 5 6 11 16 12 6 5 5 5 4 3 3 4 3 2 4 5 6 6 6 6 7 7 7 8 8 8 8 8 7 6 5 6 5 6 8 11 12 13 17 19 19 20 21 23 23 23 23 23 22 21 20 19 18 16 12 7 2 0 0 0 1 5 9 14 15 14 9 2 0 0 0 0 0 4 12 20 20 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 34 66 104 133 132 113 92 80 69 60 53 52 59 73 88 107 116 117 118 125 132 136 135 129 124 125 129 137 145 148 149 145 140 152 166 168 166 152 130 115 110 114 120 126 130 132 126 126 131 140 148 142 122 112 119 131 138 137 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 14 16 18 18 16 16 17 18 18 16 14 13 12 15 17 17 14 10 7 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 8 8 7 7 6 5 5 5 5 5 5 5 5 6 8 9 8 7 6 5 5 4 5 5 6 13 18 12 6 5 5 4 3 3 4 5 4 3 4 5 6 6 6 6 6 7 7 7 7 7 7 7 6 5 5 5 5 5 5 7 7 8 11 14 15 16 18 19 19 19 20 20 20 19 19 18 18 17 16 13 8 1 0 0 0 2 3 8 11 11 6 2 0 0 0 0 0 3 12 27 37 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 29 61 107 132 128 103 81 66 56 46 41 44 51 64 86 102 109 110 116 127 136 139 136 127 129 138 143 148 155 159 153 144 157 167 170 170 160 143 127 116 108 105 107 113 119 123 123 128 137 150 145 129 117 115 123 133 138 138 138 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
10 9 9 10 9 9 9 12 16 19 20 19 19 19 19 20 20 16 10 3 4 4 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 5 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 7 6 6 6 7 6 5 5 5 5 5 5 5 6 7 8 8 8 7 6 6 5 5 5 5 6 10 13 8 4 4 4 4 3 3 4 4 4 4 6 7 7 6 6 6 6 7 7 7 7 7 7 7 6 5 5 5 5 6 6 6 6 7 7 8 10 13 16 18 18 19 20 20 19 17 16 16 16 17 18 17 14 8 4 4 7 8 7 11 13 9 3 0 0 0 0 0 0 4 15 36 48 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 11 29 60 104 126 115 88 64 48 38 31 31 34 43 60 82 101 110 110 118 132 140 144 131 128 140 145 151 160 161 153 146 154 162 165 166 160 145 131 120 109 103 103 106 110 117 120 125 138 151 150 139 128 121 122 130 137 139 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
7 6 5 4 2 2 2 3 5 10 15 18 21 22 21 21 19 15 8 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 1 2 2 3 3 4 3 1 0 3 7 9 8 8 8 7 7 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 5 5 6 6 6 6 6 5 5 6 6 6 7 8 7 7 7 7 6 6 6 6 6 6 5 5 5 7 8 5 4 4 5 4 4 4 1 1 3 5 6 7 7 7 6 6 7 7 6 6 6 6 6 5 4 4 4 3 3 4 4 5 6 6 6 6 7 8 13 15 15 17 18 16 14 11 9 12 12 15 18 19 15 12 10 11 12 13 14 20 26 23 11 2 0 0 0 2 4 10 22 42 46 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 26 60 98 113 98 65 38 23 14 13 17 24 36 58 88 110 109 110 123 136 149 139 132 138 144 149 154 156 151 148 150 151 151 153 148 136 126 119 110 105 109 116 121 124 124 127 140 157 163 154 141 131 129 134 141 143 140 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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