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 11 12 10 8 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 3 3 3 3 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 3 4 4 3 3 3 3 2 2 2 3 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 4 5 5 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 6 7 8 9 8 8 7 6 5 5 5 5 6 6 6 6 6 5 4 3 3 4 3 3 4 6 -5 -2 5 3 2 5 3 7 10 7 4 3 3 4 5 6 4 8 11 7 0 4 3 -2 -0 8 12 8 1 -1 8 14 6 -6 -5 3 5 5 3 -0 2 2 -2 -1 -0 0 4 9 12 8 -0 1 5 6 3 -1 -1 2 5 6 9 26 42 33 16 7 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 8 8 8 8 9 9 9 9 10 10 12 12 12 10 8 6 5 4 4 5 5 6 6 4 4 5 6 5 4 5 5 5 4 3 4 6 8 6 5 5 5 5 5 5 5 8 8 3 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 3 2 2 2 2 3 4 4 3 2 2 3 4 4 4 4 4 4 4 6 9 12 13 12 9 6 5 5 5 6 5 4 4 5 5 4 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 4 3 3 3 3 3 4 7 16 27 19 7 6 9 7 1 1 -3 -5 -11 -4 2 -2 1 4 2 1 0 -1 -2 -7 -10 -9 -6 -5 -3 -0 3 5 6 7 8 9 12 14 14 13 10 9 10 9 8 8 8 8 8 9 12 13 13 15 18 17 13 11 9 6 3 3 2 2 2 3 5 5 5 5 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 9 12 13 12 9 6 4 4 4 5 5 4 3 2 2 3 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 3 4 4 3 4 4 3 3 3 3 3 3 4 4 5 4 5 4 4 4 4 3 4 3 4 3 3 3 2 2 2 3 2 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 5 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 4 4 4 4 5 4 4 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 5 7 8 9 9 9 8 6 6 5 5 5 5 5 5 6 5 4 4 4 4 3 1 5 14 12 1 1 3 5 4 4 3 4 6 8 7 6 5 8 14 11 7 8 7 5 3 8 6 2 3 8 11 9 4 -0 4 15 14 4 -0 3 10 11 5 3 7 6 1 2 1 -1 2 8 11 6 1 2 3 5 6 6 5 5 7 13 24 36 35 21 9 5 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 7 8 8 8 8 8 8 8 9 10 11 13 13 11 9 7 5 4 4 4 4 4 3 4 4 6 5 4 4 4 4 4 3 3 4 7 6 5 5 5 5 5 5 5 5 5 3 1 3 3 2 2 3 3 4 4 4 4 4 4 4 3 3 3 2 2 2 3 4 5 4 3 3 3 3 3 4 4 4 4 4 5 7 10 13 14 13 10 7 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 3 4 4 8 17 24 22 16 13 8 8 12 7 -2 0 2 3 -0 3 6 6 7 7 4 0 1 2 -2 -3 -4 -3 -1 2 4 5 6 6 6 6 7 8 9 10 9 10 10 9 9 10 10 8 6 8 11 12 12 11 10 8 6 5 2 3 3 3 3 2 3 4 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 6 9 12 13 11 9 6 5 5 5 5 5 3 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 4 4 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 4 4 5 6 7 8 9 9 8 7 6 6 5 5 5 5 5 5 4 2 2 9 8 1 1 7 18 13 3 4 1 6 10 8 5 3 3 5 7 9 7 9 15 12 7 5 5 3 7 10 8 8 7 6 6 7 7 8 10 10 9 9 8 6 11 10 4 6 12 12 7 3 -3 -4 2 7 7 7 6 2 2 4 6 7 8 8 12 25 38 35 21 10 5 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 7 8 8 7 7 7 7 8 9 11 12 13 12 10 7 5 4 3 3 2 1 -1 -4 2 6 5 5 4 3 4 4 4 4 6 7 7 5 5 5 5 5 5 5 5 5 -1 -5 1 2 1 0 3 4 4 4 4 5 5 4 4 4 4 4 4 3 2 4 5 5 4 3 3 3 3 3 4 4 4 4 5 6 7 10 14 15 13 10 7 5 5 6 5 4 3 3 3 4 4 4 4 4 5 5 5 4 4 5 5 5 5 6 5 6 6 6 5 5 5 4 4 3 3 6 13 19 22 17 9 8 8 5 1 2 4 4 3 2 4 8 8 6 5 4 6 7 5 3 1 1 3 3 3 4 5 5 5 5 5 6 7 8 8 8 9 9 12 15 15 10 6 6 8 9 8 6 6 6 4 3 2 2 2 3 3 3 2 2 4 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 2 5 10 11 12 10 9 7 6 6 5 5 4 3 2 2 3 4 3 3 3 4 5 4 4 3 4 3 3 2 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 5 5 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 5 5 4 4 4 6 7 8 9 9 7 6 6 6 5 5 5 5 6 4 0 -1 8 13 4 -0 4 11 7 3 4 6 3 8 11 5 1 2 4 10 11 7 6 8 6 4 5 3 1 6 5 5 9 9 6 2 4 7 10 14 14 11 9 9 11 11 4 -3 2 12 15 10 2 -5 -3 3 7 7 8 6 3 3 4 6 6 8 13 25 38 38 23 9 5 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 6 7 8 8 7 6 7 8 9 10 12 12 11 9 7 5 4 3 2 1 1 -3 -4 3 7 6 5 4 4 4 5 5 5 6 7 6 5 5 5 5 5 5 5 5 5 2 -3 -2 1 3 1 2 4 4 4 5 5 6 5 5 5 5 6 5 4 4 4 5 5 4 3 3 2 3 3 4 5 4 4 5 6 7 9 12 13 12 9 7 5 5 5 5 3 3 3 3 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 2 2 3 7 15 17 12 9 7 4 1 2 5 5 3 3 3 6 9 7 4 3 6 7 6 6 6 5 4 4 4 4 4 4 4 5 5 5 6 7 8 7 7 9 14 18 18 13 8 6 7 7 5 3 3 3 3 2 1 1 2 3 3 2 1 1 2 2 3 3 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan -0 -1 3 6 8 10 10 9 9 8 7 6 6 6 5 4 3 3 4 4 3 4 5 5 6 6 5 5 5 4 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 4 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 3 4 3 3 3 4 4 5 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 5 6 6 7 7 7 7 6 5 4 4 4 4 6 7 9 9 8 7 6 6 5 5 5 6 5 5 2 -1 3 11 11 6 5 6 3 6 6 5 -0 2 10 7 1 2 7 14 8 3 -0 1 1 1 4 1 0 5 5 2 5 7 7 5 4 4 5 9 18 19 11 8 8 6 7 5 5 7 9 6 1 2 8 7 5 6 6 6 4 3 3 4 6 8 19 34 35 23 10 5 5 4 4 4 4 3 2 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 8 8 7 7 7 8 8 9 10 10 9 8 7 5 4 3 3 2 2 2 5 6 7 6 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 3 1 -2 0 7 7 4 4 4 4 5 6 6 6 6 7 8 7 6 4 4 4 4 4 3 3 3 2 3 3 4 5 4 5 5 6 6 9 10 12 11 9 6 6 6 5 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 3 1 -0 -1 -1 -2 -2 -1 4 11 11 8 7 5 4 5 6 6 4 3 2 4 10 13 8 3 4 7 8 8 7 5 4 4 4 4 4 4 4 4 4 5 6 7 8 8 7 9 13 18 19 14 9 6 7 7 4 2 1 1 1 1 0 1 1 2 2 2 1 1 0 0 -0 -0 0 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 1 -1 1 3 5 6 7 8 9 9 9 8 7 7 7 6 5 4 4 4 4 4 5 6 6 6 6 6 6 5 3 3 3 3 3 4 3 3 3 2 2 2 2 2 2 3 3 3 2 3 3 2 2 3 3 3 3 4 4 4 3 3 4 4 3 4 4 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 7 7 6 5 4 4 4 4 5 7 8 9 9 8 6 6 6 5 5 5 5 5 3 0 2 7 10 10 9 4 1 8 9 2 -1 0 5 6 4 4 9 13 6 2 -1 -3 -2 2 4 2 2 6 7 3 1 2 7 10 4 -2 2 5 9 10 9 8 4 3 10 14 8 4 5 4 4 10 12 7 6 8 7 6 5 4 3 4 5 9 20 27 20 10 5 5 5 4 4 4 3 3 2 3 3 3 4 4 4 3 3 3 3 4 4 4 3 4 4 4 5 5 6 7 8 8 8 7 8 8 8 8 9 9 8 7 5 5 5 4 4 3 4 6 6 6 6 5 4 5 5 5 5 6 6 5 5 5 5 5 4 5 5 5 5 4 3 3 -0 -1 4 8 7 4 4 4 5 6 6 6 7 8 8 7 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 7 9 10 10 9 7 7 7 6 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 4 5 4 4 5 4 4 4 3 2 0 -2 -5 -7 -6 -6 -7 -4 0 4 7 6 5 4 4 8 9 7 4 4 4 2 5 14 13 6 3 5 8 9 6 4 4 3 3 4 4 4 4 4 4 5 7 9 10 9 8 9 12 16 16 13 9 7 7 6 4 2 -0 -0 0 0 0 1 1 1 2 2 2 1 0 -1 -1 -1 -1 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 5 1 0 1 3 3 4 5 8 9 9 9 8 8 8 7 6 5 5 5 4 4 5 6 6 6 6 6 6 6 5 4 4 4 4 3 3 3 3 2 2 2 2 1 2 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 4 3 4 3 3 4 4 4 4 4 4 4 3 3 3 4 3 3 3 4 4 4 4 4 3 4 4 3 4 4 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 5 5 5 5 5 6 6 5 5 5 5 5 5 4 5 5 5 6 7 7 7 7 6 5 5 5 4 4 4 6 8 9 10 9 7 6 6 6 5 5 5 5 4 1 1 4 4 6 9 4 1 6 5 1 4 5 3 5 9 5 7 6 2 3 6 2 -1 4 6 3 5 6 6 5 2 2 7 11 2 -5 4 6 3 -2 3 5 5 5 1 4 5 5 5 -1 4 12 11 7 7 9 6 5 6 5 4 5 5 11 20 19 10 5 5 5 4 4 4 3 3 3 2 2 3 3 3 4 4 4 3 4 4 4 4 4 4 3 4 4 4 5 5 6 7 8 8 7 7 7 7 8 8 9 8 7 7 6 6 5 5 4 3 5 5 5 5 5 5 6 6 6 6 7 6 5 5 5 4 4 5 5 5 5 5 4 4 4 2 -1 -1 3 6 5 3 4 5 5 6 7 9 9 8 6 4 3 4 4 4 3 3 3 3 4 4 4 5 4 4 4 5 5 6 6 7 9 9 10 10 9 8 6 4 3 3 3 2 3 3 3 4 5 4 4 5 5 4 5 4 4 4 4 4 3 3 2 2 2 0 -3 -5 -7 -5 -4 -5 -3 2 3 4 5 4 3 3 7 7 6 7 5 3 0 3 11 13 9 7 7 7 7 5 4 3 3 3 4 4 4 3 4 5 5 7 9 10 9 9 9 10 12 12 11 9 7 7 7 5 3 1 0 0 1 2 2 2 1 1 2 2 2 2 2 1 1 0 0 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 14 11 6 2 1 2 1 1 2 5 8 8 8 7 7 7 7 6 5 5 5 5 5 5 4 4 5 5 6 5 5 5 5 4 4 3 3 3 3 3 3 2 2 1 2 2 2 3 3 3 3 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 3 3 4 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 5 5 5 5 6 6 6 6 7 6 6 6 6 5 6 6 5 5 5 6 7 7 7 7 6 6 5 5 5 5 3 4 5 7 9 10 9 8 7 6 6 5 5 5 5 5 3 1 1 3 4 4 3 2 8 8 3 5 7 3 6 12 9 6 1 -1 1 6 8 5 6 5 4 4 5 3 5 5 6 10 8 -4 -2 8 10 6 -0 0 -1 4 6 3 2 1 4 3 -5 -1 6 6 5 9 11 7 4 4 4 4 5 8 17 22 15 7 5 5 5 4 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 6 6 7 7 7 8 8 9 8 7 7 6 5 5 4 3 5 7 8 6 5 6 6 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 1 2 5 5 4 4 4 5 5 8 11 12 10 5 2 1 3 4 4 4 3 3 3 3 4 5 5 5 4 4 5 5 5 6 7 7 8 11 12 11 9 6 4 3 2 2 2 2 2 3 4 5 5 5 5 5 5 4 4 4 4 3 3 3 2 1 -0 1 4 2 1 1 1 2 1 1 3 4 4 4 5 5 5 6 5 5 9 9 3 -2 2 7 10 11 11 9 7 6 5 4 3 3 3 4 5 4 1 1 3 5 7 9 9 8 7 8 9 10 10 10 9 8 8 7 6 4 2 2 2 3 4 4 3 2 1 1 2 3 4 4 4 4 4 3 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 14 11 6 3 3 1 -0 0 2 5 6 6 7 7 6 6 6 5 5 5 6 6 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 3 3 3 3 2 2 3 3 2 3 3 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 4 4 3 4 5 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 7 7 7 6 6 6 6 7 6 7 7 7 7 8 7 7 6 6 6 6 5 4 5 4 4 4 6 8 9 10 9 7 7 6 5 5 5 5 5 4 2 1 4 5 4 4 5 10 12 9 11 11 3 4 8 11 11 4 3 2 2 9 7 8 7 6 4 2 1 3 5 10 15 3 -8 0 9 10 9 7 -1 -3 1 3 6 10 9 9 4 1 -2 1 -0 4 10 10 7 4 4 5 7 8 14 23 21 11 5 5 5 4 4 3 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 6 7 8 8 8 8 7 7 7 6 5 4 3 5 14 16 12 9 8 7 7 6 6 5 5 5 6 6 6 6 5 6 5 5 5 6 7 6 5 5 5 2 3 5 4 4 4 4 5 7 10 13 11 7 3 2 3 4 4 3 3 3 3 2 4 5 5 6 5 5 4 5 5 5 6 6 8 11 12 12 10 6 4 3 3 2 2 2 2 3 3 4 5 5 5 5 5 5 5 4 4 4 3 2 2 3 3 1 4 6 5 5 3 3 3 3 4 4 4 3 4 8 10 8 5 5 9 11 5 -1 1 5 8 10 11 9 7 5 5 5 4 3 3 4 7 7 4 2 2 4 7 8 7 6 5 6 7 8 9 9 10 10 9 7 6 5 5 5 5 5 5 5 5 4 2 2 2 2 4 6 8 8 7 5 4 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 8 13 13 9 7 6 3 1 -0 1 2 4 5 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 2 2 2 2 2 3 3 3 3 2 3 2 2 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 3 3 4 4 4 3 4 5 4 4 4 4 4 5 5 5 4 5 5 5 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 4 3 4 5 6 9 9 9 8 8 7 6 6 6 6 5 5 2 2 5 8 7 4 4 5 5 9 12 11 7 5 4 4 6 8 10 6 3 9 10 11 11 9 6 4 3 1 4 7 9 -1 -5 2 6 7 8 9 1 1 3 5 8 6 8 12 4 7 3 3 5 9 12 9 7 4 2 5 8 9 17 22 16 7 4 4 4 4 3 3 4 3 3 3 3 3 3 2 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5 4 5 5 5 6 6 5 5 5 5 6 7 7 7 7 6 6 5 4 4 4 6 13 19 19 19 16 13 10 8 7 6 6 6 6 7 7 6 6 6 5 5 4 6 7 6 5 5 6 5 5 5 5 4 4 4 4 5 7 9 10 8 5 4 5 4 3 2 2 3 3 3 3 4 5 6 6 5 4 4 5 5 5 6 8 10 12 12 10 6 3 2 2 2 2 2 3 3 4 4 4 5 5 6 6 5 5 4 4 4 3 2 2 7 11 6 4 6 6 5 4 3 3 4 5 5 5 5 6 10 13 10 8 5 7 10 8 3 3 5 7 10 10 9 7 6 6 5 5 5 4 4 6 9 8 7 7 5 6 6 6 5 3 3 5 6 7 8 10 9 8 7 6 6 6 7 7 6 7 6 6 5 5 4 3 1 2 6 9 9 7 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 4 9 11 10 9 9 6 4 2 2 1 2 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 5 5 4 3 3 2 2 2 2 2 2 3 2 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 6 6 7 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 8 7 6 5 6 6 6 5 4 3 3 4 5 7 9 10 9 8 7 6 6 6 5 6 5 4 2 3 8 7 4 2 1 2 11 13 7 4 3 1 0 1 6 8 6 6 7 12 13 11 8 7 6 4 4 3 -0 -0 -1 1 3 4 7 7 8 4 5 4 6 6 3 6 4 2 6 6 7 11 13 13 10 7 3 3 5 5 8 16 19 11 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 7 12 18 20 21 20 18 15 13 12 13 11 9 7 5 5 5 5 4 4 4 6 7 8 7 8 10 10 7 6 6 5 4 4 4 4 4 4 5 5 6 5 5 5 3 3 3 3 3 4 3 3 4 5 5 5 4 3 2 3 4 5 6 8 10 11 10 8 5 3 1 1 0 1 2 3 3 4 4 4 5 5 5 4 3 3 3 3 2 2 2 6 14 12 6 6 6 5 4 4 3 5 7 8 8 8 9 12 13 11 8 6 6 6 7 5 4 5 6 8 9 9 8 7 6 6 6 6 5 3 4 7 7 8 10 9 7 6 5 3 1 1 1 3 5 6 7 8 7 7 6 7 7 8 8 8 7 7 6 6 7 9 10 8 6 7 8 7 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 4 6 7 8 9 9 9 7 6 4 3 3 4 5 5 4 4 5 5 6 5 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 4 4 3 3 2 2 1 2 2 2 3 3 3 3 3 3 2 2 3 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 5 5 6 6 7 8 7 7 7 6 7 7 8 10 10 10 10 10 10 9 9 7 6 5 6 6 6 6 4 3 3 3 5 7 8 10 10 9 8 7 6 5 5 6 6 5 3 2 5 6 5 1 3 6 10 12 8 4 1 -0 3 5 6 5 3 4 5 12 16 13 6 3 2 6 8 2 -3 -2 1 3 3 2 3 6 6 5 3 5 6 2 4 5 5 5 5 3 3 9 9 8 9 7 4 4 5 6 10 17 15 7 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 5 5 5 5 4 4 4 5 5 4 5 5 6 6 5 4 3 3 3 3 3 3 3 3 2 3 2 2 3 5 8 10 13 16 16 17 17 18 17 15 12 8 6 5 5 5 5 5 9 12 15 15 14 15 14 11 6 6 6 5 5 4 4 3 3 2 2 3 4 4 5 5 4 4 4 4 5 5 4 4 4 4 5 5 5 1 -5 -6 0 4 6 6 7 9 9 10 9 6 3 1 -1 -3 -2 -0 1 3 4 4 4 4 3 2 0 -2 -3 -2 -2 -2 -1 3 10 11 6 5 5 5 5 5 5 6 8 9 9 10 9 8 9 10 7 5 5 5 5 5 5 4 6 7 9 9 8 7 6 7 7 6 6 4 3 4 5 5 8 10 9 8 5 2 0 -1 -1 1 3 4 5 6 6 6 6 7 8 8 8 8 7 6 6 6 8 14 22 26 21 12 8 6 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 6 6 5 5 6 8 8 8 7 6 5 4 4 4 4 3 3 4 5 6 6 5 4 4 3 3 3 2 3 4 5 6 6 6 5 5 4 4 4 4 4 4 3 3 3 2 2 1 1 2 2 2 3 3 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 6 7 8 7 6 7 7 7 7 9 10 10 10 11 11 11 10 9 7 6 6 6 6 6 6 5 3 3 4 5 6 8 9 10 9 8 7 6 6 5 5 6 7 6 5 3 3 3 -2 4 9 6 -3 5 10 9 4 4 5 7 7 3 0 3 11 16 14 8 2 0 5 8 4 1 3 6 4 4 3 1 2 -0 2 1 6 5 3 4 3 6 7 2 -5 -3 5 7 6 9 8 5 4 6 11 19 20 12 5 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 4 4 3 3 2 2 2 2 1 1 1 1 1 1 2 2 3 4 5 7 10 12 13 12 13 13 11 11 11 10 9 10 13 16 16 17 18 19 20 17 9 5 6 5 5 5 5 4 4 3 2 2 2 2 2 3 4 5 4 4 4 5 5 5 5 4 5 5 5 7 5 -4 -13 -10 0 5 5 6 7 8 9 10 9 8 7 3 -1 -3 -4 -4 -2 1 3 3 0 -2 -2 -3 -4 -8 -9 -8 -6 -3 -0 6 8 6 5 5 5 7 9 9 8 7 5 5 7 7 6 6 7 6 5 4 5 6 6 5 5 5 6 7 8 8 7 7 7 7 6 5 4 3 3 4 5 7 9 9 9 7 4 1 -1 -1 -0 2 3 4 5 5 5 6 7 8 9 8 7 7 5 5 6 9 15 26 36 32 17 7 4 5 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 6 5 7 7 5 3 4 4 5 5 6 6 5 5 4 4 4 3 3 3 3 5 6 6 4 3 3 3 2 2 2 4 5 5 5 5 4 4 4 4 4 4 4 3 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 3 3 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 7 6 7 7 7 7 8 9 10 11 11 12 12 11 9 7 6 7 6 6 6 6 5 4 3 4 5 6 7 9 9 9 8 8 7 6 6 6 6 7 9 8 3 2 1 -3 4 8 6 -3 9 11 9 6 1 1 7 8 5 -1 -1 5 12 14 10 7 5 3 1 2 6 8 9 7 8 7 4 2 -0 2 4 6 5 6 4 7 8 6 0 -4 1 4 5 8 10 9 5 4 6 14 23 19 9 4 4 4 4 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 6 5 4 4 3 2 2 2 1 1 1 1 1 0 0 0 0 1 1 1 2 4 5 5 6 8 9 12 15 16 15 15 13 11 10 8 7 10 13 15 14 8 6 6 5 5 5 5 5 5 4 3 2 1 1 1 0 1 4 3 -0 1 4 6 7 6 5 5 5 7 10 12 7 -3 -9 -4 3 5 5 5 6 7 8 9 10 11 10 8 4 -0 -5 -8 -7 -3 1 -2 -5 -6 -5 -4 -5 -5 -6 -6 -2 0 2 4 5 6 8 7 9 14 16 11 7 5 3 3 5 5 5 6 6 5 4 5 5 6 5 5 5 6 7 7 8 8 7 7 6 6 6 5 3 3 3 3 5 8 10 10 9 6 3 1 0 1 2 4 5 6 6 6 6 7 9 9 8 7 6 4 5 7 8 12 19 25 24 16 8 5 5 6 5 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 7 9 9 7 4 3 2 2 3 4 5 5 5 5 5 5 3 2 1 2 3 5 6 5 3 3 3 2 2 2 3 4 4 5 4 4 4 4 4 4 4 3 2 2 2 2 2 1 1 1 1 1 1 1 2 1 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 6 7 8 8 9 9 9 11 12 11 9 8 7 7 7 6 6 6 5 4 3 4 5 6 8 9 9 9 8 8 7 7 6 6 6 6 7 8 3 2 2 4 7 4 2 8 10 10 6 9 1 -1 4 6 4 2 1 3 6 11 12 10 8 5 1 1 4 4 7 10 10 6 5 4 5 7 7 7 7 7 7 13 13 10 2 5 7 6 4 6 9 8 6 6 7 16 22 13 6 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 5 5 4 5 5 4 4 4 4 4 5 6 5 4 3 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 1 2 3 4 4 5 6 7 9 11 13 15 13 7 2 2 3 4 5 5 8 8 7 7 6 6 5 5 5 5 5 5 4 3 3 2 2 -0 -3 1 3 -4 -9 -3 4 7 7 6 6 6 8 12 18 16 9 4 1 2 4 5 5 4 5 5 6 7 9 10 12 12 9 3 -6 -12 -11 -6 -7 -7 -4 -2 -0 1 2 3 2 2 3 3 3 4 5 6 7 8 12 16 14 10 8 4 3 4 3 4 5 6 6 5 4 5 5 5 5 6 6 6 7 8 8 8 7 7 6 6 5 4 3 3 2 3 5 8 10 10 8 5 3 3 3 4 5 6 7 7 6 6 7 9 9 8 7 6 5 5 6 8 9 12 13 12 9 7 6 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 7 10 10 8 5 3 2 1 0 1 3 4 4 4 6 7 5 3 1 -1 0 4 5 4 3 2 3 3 3 2 3 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 7 6 6 7 7 7 7 7 9 11 11 10 8 8 7 7 7 6 6 5 4 4 4 5 7 7 9 9 9 9 9 8 7 6 5 5 5 6 6 3 2 3 11 9 6 2 10 4 10 11 16 6 4 3 6 3 1 6 8 5 7 12 11 7 4 5 6 1 -2 3 10 8 5 4 5 8 10 7 7 9 7 10 15 11 10 6 9 8 5 5 5 6 6 6 7 11 19 19 9 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 2 2 2 3 3 2 2 2 2 3 3 3 4 4 4 5 5 5 5 6 9 8 5 3 3 3 4 5 6 6 7 7 7 7 6 5 5 5 4 4 4 5 5 4 4 6 6 1 2 8 3 -11 -15 -6 4 6 5 5 6 7 11 18 20 11 6 5 3 3 4 4 3 3 1 1 1 3 4 4 7 11 9 1 -9 -11 -7 -5 -3 -1 0 2 4 6 7 5 4 3 4 5 6 6 6 6 2 1 7 10 8 8 6 4 3 3 3 4 5 6 6 5 4 4 4 6 6 6 6 7 8 8 9 9 8 7 6 6 5 4 3 2 2 3 5 7 9 8 6 5 5 5 5 6 7 7 7 7 7 8 9 8 7 7 6 5 5 5 6 6 7 5 3 4 4 4 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 3 6 8 9 9 7 5 3 1 -0 -0 1 3 3 3 5 7 7 6 2 -1 -0 3 5 3 2 1 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 5 5 5 5 6 6 6 6 6 6 7 8 8 7 6 6 6 7 7 6 6 7 10 11 10 9 9 8 7 7 6 6 5 5 4 5 6 7 8 9 10 10 9 9 8 7 7 5 4 5 6 5 3 2 7 9 6 7 7 10 -0 9 15 17 9 9 5 5 3 -0 8 8 2 4 9 10 8 2 1 4 1 -2 1 4 7 9 5 4 8 10 7 6 7 7 9 10 6 5 7 9 5 0 3 4 5 5 5 8 16 22 16 7 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 2 3 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 4 4 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 4 3 4 4 5 6 6 6 6 7 6 6 6 5 5 6 5 5 5 5 5 5 5 6 9 8 7 12 14 3 -12 -16 -8 -1 -0 1 2 5 8 12 15 10 4 3 3 2 2 1 0 -1 -3 -6 -8 -6 -4 -6 -6 0 5 4 2 3 5 4 -1 -3 0 1 2 4 4 2 3 5 7 9 10 11 11 8 6 1 1 5 5 7 7 6 4 3 3 3 5 7 7 6 5 4 5 5 5 5 6 6 7 9 10 11 11 9 8 7 6 5 4 3 3 3 4 5 7 7 7 6 6 6 6 6 7 6 6 6 6 7 7 7 6 6 6 6 5 5 4 3 2 -0 1 3 4 4 3 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 2 4 5 7 8 8 7 5 3 1 0 0 2 2 2 3 6 8 8 5 2 0 3 4 4 2 1 1 2 2 2 2 3 3 3 3 3 4 4 4 5 4 4 4 3 3 4 4 3 3 3 4 3 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 4 3 3 3 4 3 3 3 3 4 4 4 5 5 4 4 4 4 4 5 5 5 5 4 5 5 5 5 6 6 6 5 6 7 8 8 7 7 6 7 7 8 7 7 6 8 9 10 9 8 7 7 6 6 6 6 5 5 5 7 7 8 9 10 11 9 8 8 8 8 5 5 5 5 5 5 6 7 6 9 1 2 8 5 3 11 11 7 10 6 4 2 2 10 2 -4 2 4 9 14 6 -1 1 2 3 1 -1 4 10 6 -1 2 6 8 6 6 8 8 5 1 1 6 7 3 -1 -0 3 5 5 5 8 18 23 14 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 6 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 6 5 5 5 5 4 4 3 3 2 2 2 2 3 3 3 3 4 5 5 5 6 5 5 5 5 5 5 4 5 6 6 6 6 5 5 5 5 6 7 7 8 13 16 10 2 -11 -17 -11 -9 -8 -6 -1 6 8 9 8 5 4 2 1 -0 -2 -4 -5 -6 -7 -10 -12 -8 -7 -9 -7 -1 5 8 10 10 7 2 1 3 3 3 6 7 4 5 10 14 13 11 10 9 10 10 6 3 4 5 6 7 6 5 3 3 3 4 6 7 6 6 5 5 5 5 5 6 6 6 8 10 11 12 10 9 8 6 6 6 5 5 4 4 5 5 6 7 7 6 5 5 7 7 6 5 5 6 6 6 5 5 5 6 6 6 5 4 3 2 2 3 4 6 6 5 5 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 1 1 2 3 5 6 8 8 7 6 3 2 2 2 2 1 1 4 7 8 7 4 2 3 4 4 3 2 2 2 1 1 1 2 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 4 4 3 3 3 2 2 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 3 3 4 3 4 3 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 4 4 5 4 4 4 5 6 6 5 6 6 7 8 8 8 7 8 9 9 9 8 6 6 6 8 9 9 8 7 6 5 5 6 6 6 6 6 7 8 9 10 10 11 10 8 7 8 8 6 4 4 6 7 8 7 4 6 12 5 2 -3 5 -1 7 3 2 7 4 3 3 6 9 1 -4 1 2 9 17 13 6 3 3 5 2 -3 -0 6 4 -2 -1 4 7 5 5 8 9 4 -1 -1 3 2 2 5 3 3 5 5 4 10 21 23 11 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 4 3 3 3 3 3 3 4 5 5 5 6 6 5 5 4 4 3 3 2 2 3 3 3 3 3 3 3 4 4 5 4 5 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 12 16 11 5 0 -6 -9 -10 -10 -12 -11 -2 4 7 7 6 4 3 2 -0 -2 -1 -2 -4 -2 -2 -4 -4 -0 1 -1 1 6 8 8 7 7 7 7 8 9 10 11 14 11 9 13 15 14 11 5 3 7 6 4 5 5 5 6 6 6 5 5 4 4 4 5 6 7 6 6 5 5 5 5 5 5 7 9 10 10 11 11 10 10 8 8 7 7 6 5 4 5 5 5 7 7 7 6 6 6 7 7 6 5 5 6 6 6 5 4 5 5 4 4 5 5 4 5 5 6 6 6 6 7 6 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 1 1 2 2 3 4 6 7 9 8 7 5 5 5 3 0 1 3 4 6 6 4 3 3 4 4 4 3 3 2 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 5 5 4 4 4 3 4 3 3 3 3 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 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 5 6 6 5 5 6 7 8 8 8 8 11 13 13 11 8 6 5 6 7 8 8 7 6 6 5 4 5 6 6 6 7 8 9 10 10 11 11 10 8 7 7 6 5 3 3 4 6 6 5 3 6 9 9 5 -1 6 0 2 2 5 2 4 3 6 12 13 7 1 -1 -1 5 7 9 12 6 3 3 2 1 2 4 3 3 3 5 5 3 4 7 6 1 3 4 2 -1 2 11 8 4 6 6 5 11 24 22 8 3 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 3 3 4 4 4 5 5 4 4 3 4 5 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 6 6 7 7 7 7 7 11 19 17 9 5 4 2 1 -1 -5 -13 -13 -7 0 4 5 4 3 4 4 3 5 6 4 3 4 5 5 6 6 6 6 7 7 5 5 5 6 6 10 14 13 11 15 15 13 12 9 8 9 6 2 3 4 3 4 5 5 6 6 6 6 6 6 5 3 3 5 7 7 6 6 5 4 3 4 5 7 9 10 10 11 11 10 10 9 8 8 8 7 6 5 5 6 6 6 7 8 9 7 6 7 7 6 4 5 6 6 6 5 4 5 4 3 3 3 4 5 5 5 5 4 4 5 5 5 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 4 3 2 2 2 3 5 7 8 7 7 8 7 4 1 1 3 3 3 3 3 3 3 4 4 4 4 3 3 2 1 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 6 6 5 5 5 6 7 8 8 8 11 17 19 17 13 9 7 6 6 7 7 7 7 6 6 5 5 5 5 6 7 8 8 10 11 11 11 10 10 8 7 6 4 2 2 3 2 3 2 4 5 6 5 8 7 14 13 3 -5 1 9 1 3 4 6 18 21 14 6 -3 -3 1 -0 2 11 8 3 3 2 4 6 4 3 5 7 6 3 4 6 8 4 -0 6 9 3 0 3 9 7 7 8 7 8 13 24 21 8 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 6 6 5 5 6 5 5 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 6 6 7 7 7 7 10 16 23 20 11 4 6 7 8 6 -1 -8 -12 -10 -3 1 1 0 3 6 5 6 9 8 6 6 6 7 7 7 7 7 7 6 6 6 4 4 2 6 11 10 9 10 11 9 7 4 3 5 6 4 4 4 4 4 4 5 5 6 6 6 5 6 6 5 3 4 6 6 6 6 5 4 3 3 4 5 8 9 9 10 10 10 10 10 9 8 8 9 7 6 6 6 6 7 8 10 10 9 7 7 6 5 4 4 5 7 7 5 4 4 4 3 3 2 2 3 4 4 4 3 2 2 2 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 8 7 5 3 1 1 2 3 4 4 5 8 10 10 6 3 2 3 3 2 1 1 2 3 4 4 4 4 4 3 2 1 1 2 2 2 3 3 3 2 2 2 3 4 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 5 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 6 6 5 5 5 5 6 8 8 10 18 27 28 22 16 11 7 6 7 7 7 6 6 6 6 5 5 4 4 6 7 8 9 10 11 11 10 10 8 7 6 5 3 0 1 2 6 7 1 4 6 4 4 5 6 15 14 7 -2 1 9 5 3 -0 2 20 20 14 8 -2 -2 2 1 1 7 9 6 5 2 3 5 5 4 4 8 8 4 5 8 11 7 2 5 7 2 3 6 6 5 6 8 7 8 16 25 19 7 4 4 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 4 3 3 3 4 4 3 4 4 4 4 5 5 5 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 10 17 24 20 11 11 8 8 10 8 4 -2 -9 -9 -4 -4 -3 -0 -0 -0 2 6 7 7 6 4 5 6 7 6 6 7 8 7 5 7 9 5 3 6 6 6 7 7 6 5 4 3 3 4 5 5 5 5 4 4 5 5 6 6 5 5 7 7 5 4 4 5 6 7 6 5 4 4 4 4 5 6 8 9 10 11 8 10 11 10 8 8 8 7 7 7 7 8 8 9 9 10 9 8 7 6 6 4 4 5 7 7 5 5 4 5 4 3 2 2 2 3 4 4 3 2 1 1 2 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 8 8 7 5 3 1 2 2 2 2 1 2 6 9 10 9 5 4 4 3 1 1 1 1 2 3 3 4 4 5 4 2 1 0 1 3 3 2 2 3 3 2 3 2 3 4 4 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 6 5 5 4 5 4 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 6 6 5 5 5 5 6 8 8 15 30 35 29 22 17 12 9 7 6 6 6 6 5 6 6 5 4 3 4 6 8 9 9 10 10 10 9 8 7 6 5 3 2 1 0 3 13 14 5 5 6 7 5 5 4 8 10 8 2 4 11 11 6 -1 2 16 14 9 7 2 2 2 3 3 4 9 10 7 4 3 4 7 5 4 10 11 5 4 8 10 8 4 5 5 5 7 8 5 4 5 7 6 6 17 25 20 7 3 3 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 4 4 3 2 2 3 3 3 4 4 5 5 5 5 5 6 6 5 5 4 4 4 4 5 5 5 5 5 4 4 5 8 14 19 21 19 17 12 10 9 8 7 0 -5 -2 -2 -1 1 -1 -3 -1 3 5 8 7 4 4 6 6 5 5 9 11 11 10 11 13 9 3 3 4 5 7 9 9 6 4 3 3 4 4 5 5 5 4 4 4 5 6 5 5 5 8 9 6 4 4 5 7 7 7 6 5 4 4 4 4 5 6 8 10 13 11 9 11 10 9 8 7 8 7 7 8 8 8 8 9 9 9 9 8 8 7 6 4 5 6 7 6 6 5 5 5 5 4 3 3 3 4 4 4 4 3 1 -1 1 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 4 5 4 2 2 2 2 1 1 1 -0 1 4 7 8 9 9 8 6 4 1 0 1 1 2 2 2 2 3 4 4 3 2 1 1 2 2 2 2 2 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 6 5 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 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 5 5 5 5 5 5 5 5 4 4 5 6 6 6 5 5 6 7 7 10 26 41 30 17 15 14 11 9 7 6 5 5 5 6 6 5 5 4 3 4 6 8 10 10 10 9 8 7 7 5 4 3 2 3 2 -1 5 12 15 10 6 6 9 7 4 5 9 12 6 1 5 10 11 9 4 6 10 8 6 6 5 3 3 3 3 2 6 9 9 7 4 5 8 9 9 12 12 6 4 6 8 7 5 7 10 11 13 8 3 3 6 8 6 4 13 23 23 12 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 4 3 3 3 3 4 4 5 4 4 4 4 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 5 10 14 17 20 20 16 12 11 11 8 6 8 7 6 7 5 3 4 6 7 7 9 10 9 7 7 6 6 13 15 14 13 13 10 5 3 3 5 7 10 12 12 8 4 3 3 4 4 4 4 4 4 5 5 5 6 5 5 6 9 10 7 5 4 5 6 7 8 7 6 5 4 3 4 5 6 7 7 9 10 9 10 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 10 9 8 7 5 5 6 7 7 6 5 5 5 5 5 4 4 4 5 5 5 5 3 1 0 -0 0 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 2 1 1 2 3 2 1 1 0 0 0 2 2 4 7 9 10 9 6 3 2 2 2 2 2 1 2 2 3 3 4 3 2 1 0 0 2 2 2 3 3 3 3 3 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 3 3 3 3 2 2 2 2 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 4 4 3 4 4 4 3 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 6 6 5 5 5 6 7 9 16 35 37 11 2 8 10 10 8 7 5 5 5 5 5 6 5 4 4 3 4 6 9 11 11 10 8 7 5 5 4 1 -0 1 4 6 3 2 6 12 10 7 5 7 6 1 0 8 8 2 1 4 5 6 9 8 6 4 4 8 9 6 6 8 6 3 1 1 5 8 6 3 3 7 10 12 11 9 6 4 5 6 4 5 9 14 14 15 7 2 2 6 8 8 7 10 18 26 18 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 5 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 3 3 4 5 5 5 5 5 5 4 4 5 5 6 6 6 6 5 6 5 5 5 4 4 4 4 4 4 5 7 11 16 17 15 15 17 16 16 20 17 11 11 11 10 9 11 13 11 11 18 17 10 10 8 7 13 16 12 9 8 5 3 2 3 5 8 10 13 12 7 4 3 3 4 3 3 4 5 5 5 5 6 6 6 5 5 8 9 8 6 5 4 5 6 8 8 8 6 4 4 4 4 6 6 6 6 6 7 8 8 7 7 7 8 8 7 8 8 9 9 8 7 8 9 10 10 10 9 7 5 6 7 7 6 6 5 5 5 5 5 4 4 5 6 5 5 5 3 2 1 1 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 2 2 1 2 3 4 3 2 2 2 1 1 0 -1 0 3 5 7 8 7 5 4 4 3 1 0 1 1 2 3 3 3 3 3 2 1 1 2 2 3 4 4 4 4 4 4 5 5 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 3 3 4 4 3 4 4 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 6 7 6 5 5 5 6 8 12 21 34 22 -0 -3 6 9 9 8 6 5 4 4 5 6 6 5 4 4 4 5 7 10 11 11 9 7 5 4 2 -1 -2 -2 -0 4 10 8 2 5 7 5 8 7 6 5 1 -3 2 3 1 3 5 3 3 8 11 7 5 6 9 10 7 7 10 10 10 5 2 3 4 8 4 2 5 6 8 7 4 5 5 4 1 -2 3 11 13 14 13 8 3 0 1 3 7 9 8 16 27 21 6 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 3 4 5 5 5 5 5 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 7 10 12 12 13 14 14 19 22 18 14 16 16 13 12 13 14 14 17 18 14 13 11 7 8 10 8 5 3 3 2 2 3 5 7 9 9 8 5 3 3 3 3 3 4 4 5 4 5 6 6 7 7 6 5 6 7 7 7 5 4 4 5 6 8 9 8 5 4 3 4 6 7 6 6 6 6 6 7 7 7 7 7 7 6 7 8 9 9 9 8 7 7 8 10 11 10 8 6 6 7 7 7 6 5 5 5 4 5 4 4 6 6 5 5 6 5 3 2 2 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 5 4 4 2 2 3 4 2 1 2 4 3 1 -0 -1 -1 -1 1 3 5 5 6 6 6 4 2 1 1 1 2 2 3 2 2 3 2 3 3 4 4 4 4 5 5 5 5 4 5 5 6 6 6 5 5 5 6 6 6 6 6 6 6 5 5 4 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 2 3 2 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 4 4 4 4 5 6 7 6 6 6 6 7 10 15 24 29 15 -1 -0 5 9 11 8 5 4 3 3 4 5 6 5 5 5 5 7 8 10 12 11 8 6 4 2 -2 -4 -2 0 2 3 6 6 4 8 4 3 7 4 6 9 5 0 2 3 4 8 7 3 4 8 11 11 11 10 8 8 6 6 8 10 13 10 8 7 6 9 4 4 6 1 3 3 3 5 6 6 2 -2 4 9 12 16 12 10 4 1 -1 -1 5 9 7 18 28 18 6 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 3 2 4 5 5 5 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 5 6 7 8 8 8 8 10 14 18 17 16 16 11 9 9 9 10 10 10 10 9 9 7 5 6 5 5 4 3 2 3 3 5 6 7 6 4 3 4 4 4 3 4 4 4 4 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 8 9 7 4 4 4 5 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 8 9 10 9 8 7 7 8 9 9 8 7 6 7 8 8 7 5 5 5 4 4 5 4 4 5 5 5 5 5 4 3 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 5 4 3 3 3 2 1 2 4 3 2 1 0 -0 -1 -1 0 1 2 4 5 6 5 3 2 2 2 2 2 2 2 2 2 3 4 4 5 5 5 5 6 6 6 6 5 5 5 6 7 6 5 5 5 5 6 6 7 8 7 7 5 5 4 4 4 4 3 4 3 3 3 3 2 3 3 3 4 4 5 5 5 4 4 3 3 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 5 4 5 5 6 6 5 5 4 4 4 4 5 7 7 6 6 6 7 9 14 19 25 24 7 1 5 3 7 10 7 4 3 4 3 3 4 5 5 6 6 6 7 9 11 12 11 8 6 3 -1 -5 -3 1 3 2 -1 2 7 6 6 5 10 4 -0 7 15 8 3 4 3 8 11 8 6 4 6 7 9 13 13 9 6 3 3 5 7 6 5 8 12 10 5 1 4 8 4 5 3 5 7 5 10 8 5 8 7 12 18 13 10 5 1 -3 -0 6 11 9 18 29 16 5 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 6 5 5 4 4 3 4 5 5 4 4 3 3 3 3 3 3 3 3 4 3 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 3 3 3 4 5 6 6 6 5 6 5 5 5 5 6 6 6 5 5 5 4 5 5 5 6 7 7 7 7 8 9 11 11 10 7 6 6 6 5 5 5 5 5 6 5 5 6 6 6 5 4 4 3 3 4 5 5 4 3 3 4 4 5 5 4 4 4 4 6 6 7 7 7 7 7 7 6 4 3 3 4 5 5 5 5 5 6 8 8 5 4 4 4 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 9 10 10 10 8 7 7 8 9 8 7 6 8 9 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 5 5 4 4 4 2 2 3 3 3 2 2 3 3 1 0 -0 0 1 3 4 4 4 4 3 3 3 3 2 1 1 2 2 3 3 4 5 6 5 6 6 6 6 6 5 5 6 6 6 6 5 4 5 5 5 6 7 8 7 6 6 5 5 4 4 4 3 3 2 2 1 1 2 2 3 3 4 4 5 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 5 7 7 7 6 7 7 9 13 20 23 24 16 2 4 8 3 6 9 6 4 4 4 4 4 4 4 5 5 6 7 8 9 11 12 10 7 4 1 -3 -3 2 4 1 -4 -2 6 11 7 2 5 9 3 0 8 15 7 5 8 8 9 9 9 9 5 3 3 7 12 13 8 2 0 1 3 5 2 -0 5 10 7 1 -3 -1 9 12 9 6 7 5 2 7 10 10 10 9 12 19 19 12 5 -3 -7 0 11 14 10 18 30 18 5 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 3 4 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 6 5 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 4 6 6 6 5 3 3 4 5 6 6 6 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 5 6 6 6 7 7 6 6 6 7 6 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 5 5 5 4 5 4 3 3 3 4 5 4 5 5 4 3 3 4 6 7 7 8 7 7 7 7 7 5 4 3 3 3 4 5 5 5 5 7 7 6 4 3 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 6 7 8 10 11 12 11 9 8 8 9 9 8 8 9 9 8 8 7 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 4 4 4 4 4 4 4 3 3 3 4 4 3 2 1 1 1 2 3 3 3 3 3 4 4 4 2 1 1 1 2 3 3 3 4 4 5 5 5 6 6 5 5 5 6 7 7 7 6 4 3 4 5 5 6 7 7 6 5 5 5 6 6 5 4 3 2 1 0 1 2 2 3 3 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 7 8 7 7 7 7 9 14 20 26 24 16 8 3 8 9 6 6 4 3 3 5 6 5 4 4 4 4 5 6 7 8 10 11 11 10 6 1 -3 -2 1 4 4 1 -4 -3 5 8 6 4 6 3 2 3 4 8 5 3 10 12 10 6 8 10 7 3 5 10 11 9 5 2 1 2 3 4 2 -1 5 7 4 1 -5 -4 12 15 8 8 5 0 2 2 5 12 15 14 11 20 26 14 2 -7 -10 2 14 12 9 18 30 20 5 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 7 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 3 3 4 4 4 4 5 5 6 6 7 7 6 6 6 5 5 4 4 4 5 5 5 4 3 3 3 5 7 8 7 5 3 3 5 6 6 5 5 5 5 5 4 4 4 4 5 5 5 4 3 4 4 5 5 5 5 6 6 5 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 7 7 7 7 6 6 5 5 3 2 2 2 3 4 4 4 4 4 3 2 2 5 7 7 7 7 7 7 7 7 6 6 4 3 2 3 3 4 4 5 6 7 6 5 3 3 3 4 5 5 5 5 5 4 4 5 5 5 5 5 5 6 7 8 11 13 14 12 10 9 9 10 10 10 9 9 9 8 8 8 7 6 6 7 6 6 5 5 5 5 5 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 5 4 4 5 5 5 5 5 5 3 3 4 4 4 4 3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 4 5 6 7 8 8 6 4 3 3 3 4 5 5 6 5 5 6 6 7 8 8 7 5 3 2 1 1 2 2 3 4 4 4 4 4 4 4 5 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 8 9 8 8 7 9 15 24 29 26 17 8 1 6 13 11 6 0 -2 -1 2 5 7 6 5 4 5 5 5 7 9 9 10 12 12 10 5 -1 -3 2 4 3 3 4 3 -3 -6 -2 4 8 7 1 4 8 2 -1 0 2 9 12 10 3 5 8 8 7 9 12 9 3 1 3 7 7 4 2 2 4 6 4 1 1 -3 -2 14 17 6 5 4 -2 4 4 3 9 14 14 14 26 32 16 1 -8 -7 5 12 7 6 18 32 23 6 4 4 4 4 4 4 5 5 4 4 4 3 3 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 3 3 4 4 4 3 3 3 4 4 5 6 7 7 7 7 7 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 6 5 5 4 4 4 4 4 4 5 5 4 4 3 3 5 7 9 7 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 7 8 8 8 7 7 6 4 3 2 3 3 4 4 4 4 4 3 1 -0 3 6 7 7 7 7 7 7 7 7 7 6 5 4 2 2 2 2 4 6 7 6 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 8 10 14 16 16 12 10 10 11 11 10 9 8 8 9 8 8 7 6 7 8 8 8 7 7 7 8 7 5 4 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 8 7 5 5 5 5 5 5 6 5 5 5 4 4 4 4 5 4 4 3 3 3 3 4 3 3 3 3 3 3 3 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 5 6 8 8 7 4 2 2 2 3 3 4 4 4 5 6 7 7 7 8 8 7 6 4 3 2 2 2 2 3 4 3 4 4 4 4 5 6 5 5 5 5 4 4 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 5 6 7 8 8 9 9 9 14 27 36 33 18 4 3 6 15 15 6 -4 -9 -8 -3 3 7 7 7 5 5 5 6 7 9 11 11 10 12 13 10 4 -1 -0 4 5 3 2 2 3 4 4 6 6 6 2 1 8 13 5 -2 -2 2 11 15 11 6 7 7 7 7 10 10 8 4 -0 3 9 9 6 5 5 6 7 6 5 5 3 2 13 15 3 2 3 -2 5 6 2 3 10 11 16 31 32 17 1 -5 -2 7 9 4 4 14 32 25 6 4 5 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 6 6 7 8 7 6 5 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 4 4 3 3 4 4 4 4 4 4 4 3 3 4 5 8 8 6 4 4 5 5 5 5 5 4 4 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 7 8 9 9 8 7 6 5 5 4 3 4 4 4 4 3 3 5 6 -0 -1 4 6 6 7 7 7 7 7 7 7 7 6 5 4 3 1 1 1 4 6 7 7 5 3 3 3 3 4 4 4 4 4 4 4 4 3 3 4 5 5 6 7 10 14 20 22 18 13 11 11 11 10 9 8 7 8 9 7 5 6 7 8 9 9 8 9 9 9 9 7 6 6 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 6 7 8 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 4 4 4 2 1 1 2 2 2 2 3 3 4 4 4 4 4 5 6 7 7 4 2 1 1 1 2 3 3 4 5 5 5 5 6 7 7 8 7 6 5 4 3 3 2 2 2 3 3 3 4 4 5 5 4 5 5 5 5 4 3 3 2 2 2 2 3 2 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 4 5 6 7 8 8 8 9 11 14 22 34 37 27 10 -5 -2 10 11 4 -6 -13 -14 -8 -0 5 7 6 5 5 5 6 7 8 10 12 12 12 12 11 9 5 3 3 4 5 5 6 3 1 2 6 11 9 4 -0 2 10 15 12 7 4 5 11 14 7 7 11 11 6 5 6 8 9 5 1 4 7 6 5 7 9 9 6 7 9 10 4 2 10 9 -0 -1 -1 -5 4 4 0 3 10 8 17 33 31 13 -0 -3 3 11 10 5 4 13 28 24 7 4 5 4 4 4 5 5 4 5 4 4 3 3 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 4 4 4 5 6 8 8 7 6 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 3 2 3 4 4 5 5 4 4 4 4 4 4 4 6 7 6 5 4 4 5 5 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 3 3 3 5 6 8 9 9 9 8 7 6 5 4 4 5 5 4 3 2 2 7 9 2 -1 2 5 5 6 7 7 7 7 7 7 7 7 6 6 4 3 1 -0 1 4 7 9 6 3 3 2 2 3 4 4 4 5 4 4 4 4 4 3 4 5 5 7 9 14 22 28 26 18 12 9 9 9 8 7 7 7 8 7 5 5 5 7 8 9 8 8 9 10 11 10 8 7 6 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 4 5 6 7 7 7 6 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 5 5 5 4 3 3 3 3 3 3 2 1 2 2 2 2 2 2 3 3 3 3 3 3 4 6 6 5 3 1 1 0 1 1 2 4 4 4 3 3 4 5 6 7 8 7 7 7 5 5 4 3 2 3 3 3 4 4 4 4 4 4 4 5 5 4 4 3 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 4 4 5 4 4 5 5 5 5 5 5 6 7 8 8 9 9 11 14 17 24 28 27 18 6 -5 -6 -2 -14 -16 -15 -13 -8 -1 4 5 6 5 5 5 6 7 8 10 11 11 12 12 11 9 7 6 5 4 4 7 9 6 6 8 5 -1 -3 1 1 3 7 11 17 19 16 10 7 7 8 5 8 13 10 4 4 4 6 7 4 6 9 7 5 5 5 6 6 3 6 14 13 3 -1 7 9 2 -1 -5 -7 4 8 5 4 4 3 18 35 29 10 -2 -1 7 13 11 7 5 15 27 20 6 4 5 4 4 5 5 5 5 5 4 4 3 3 4 4 4 3 3 4 4 4 3 4 4 4 5 4 4 4 3 3 4 4 3 3 3 4 5 4 4 4 4 5 6 7 7 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 3 3 2 2 3 4 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 5 5 6 6 6 6 6 5 5 5 5 4 3 4 4 3 3 3 3 3 4 3 3 3 4 5 6 8 8 9 9 8 7 6 5 5 6 6 5 3 1 2 7 7 2 0 3 4 5 6 7 7 8 7 7 7 7 7 7 6 6 4 3 0 -1 1 5 9 8 5 3 2 2 2 2 3 4 4 5 4 4 4 3 4 4 4 5 6 7 11 19 30 33 24 12 8 8 9 9 7 6 7 7 6 5 4 5 6 7 7 7 6 7 8 10 11 10 9 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 5 6 6 6 5 5 4 4 5 4 5 6 6 7 7 6 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 3 4 4 3 3 2 3 2 2 2 2 2 3 3 2 2 2 3 4 5 4 4 3 2 1 -0 -0 1 2 3 3 2 2 2 3 4 5 7 7 8 8 8 7 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 7 9 10 9 10 13 14 15 15 15 15 14 10 4 -4 -8 -12 -20 -17 -9 -3 2 6 7 6 5 5 5 5 6 8 9 10 11 12 13 12 9 6 7 10 6 6 5 9 9 3 5 9 6 3 -3 -3 -1 7 11 13 17 20 18 13 10 7 3 5 11 14 7 3 4 4 2 2 3 12 15 9 7 4 1 1 2 1 5 12 12 8 2 5 14 14 8 -1 -3 1 10 8 4 1 9 24 31 21 7 -1 1 9 13 10 6 7 16 26 17 5 5 5 4 5 5 5 5 5 5 4 4 3 3 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 5 4 5 4 5 5 5 4 4 4 3 3 3 3 2 3 3 4 4 5 6 6 5 5 5 4 4 5 5 5 4 3 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 4 5 6 7 8 8 8 8 6 5 5 6 6 5 2 1 4 8 5 0 1 3 4 5 6 7 7 8 8 7 7 7 7 7 7 7 7 4 2 0 -0 1 5 7 5 3 2 1 1 1 1 3 4 5 5 4 4 4 3 4 4 5 6 7 8 14 25 32 24 11 7 8 9 9 8 7 6 7 6 5 5 5 5 6 7 6 5 6 7 9 11 11 10 10 8 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 2 2 3 3 4 4 5 5 5 5 5 5 5 6 6 7 8 8 7 7 6 6 6 5 5 5 6 6 6 6 6 6 6 5 5 4 4 4 3 3 3 2 2 2 3 3 3 3 2 2 2 3 4 4 4 5 4 2 -0 -1 0 1 2 2 1 1 1 2 3 3 5 6 7 8 8 8 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 7 11 14 11 13 15 14 12 9 9 7 7 9 6 2 -3 -5 -4 -1 4 6 9 8 8 6 5 5 5 6 7 8 9 10 11 13 15 13 9 6 8 10 7 7 9 9 6 4 7 5 1 1 -0 -3 1 12 11 8 10 12 12 13 12 7 2 5 11 13 9 6 6 4 3 1 2 11 14 11 8 4 -2 1 5 3 2 2 5 11 9 7 13 16 12 7 3 -3 10 14 11 10 17 24 21 9 1 -0 3 9 11 8 4 7 19 27 17 5 4 5 5 5 5 5 5 5 5 4 4 3 3 4 4 3 3 3 4 3 3 4 4 4 4 4 4 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 6 6 5 6 6 6 5 5 5 5 4 4 3 4 5 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 5 6 7 8 8 7 7 6 6 6 6 4 3 4 6 6 4 2 3 5 5 5 6 6 7 8 8 8 8 7 7 7 7 7 7 5 4 2 1 0 1 4 5 5 3 1 0 0 0 1 2 3 4 4 4 4 3 3 4 5 6 7 8 10 15 20 18 13 11 11 10 9 8 7 6 6 6 5 4 5 5 6 6 6 6 6 7 8 9 10 10 11 11 9 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 1 1 2 2 2 3 4 5 5 5 4 5 5 5 6 7 8 9 9 9 8 7 6 6 5 5 5 5 6 6 7 7 7 7 6 6 5 4 4 4 4 3 3 3 3 3 4 4 3 3 2 2 2 3 4 6 6 5 2 0 -0 0 1 2 1 1 0 0 2 3 3 4 5 6 7 7 8 8 8 7 6 6 6 5 5 5 6 6 5 5 5 6 6 7 7 6 6 6 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 7 13 17 14 13 12 8 6 6 9 10 17 21 17 12 8 8 7 8 9 10 10 9 8 6 5 5 5 6 8 8 9 12 15 19 21 18 12 8 7 10 10 9 9 7 5 5 6 5 6 7 5 -1 4 13 6 -1 1 4 5 7 8 7 5 4 6 9 10 9 7 4 8 8 8 8 9 9 7 3 3 5 6 4 3 2 3 7 9 9 8 6 6 10 9 -2 6 18 21 19 16 16 4 -7 -0 5 5 8 11 8 4 8 21 25 14 5 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 3 3 2 2 3 3 3 3 4 3 4 4 4 4 5 5 6 6 5 6 5 6 6 6 6 5 5 3 3 4 5 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 6 6 6 8 8 7 6 7 7 4 1 2 6 6 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 6 5 3 1 0 2 4 6 5 1 0 0 0 0 1 2 3 4 4 4 3 3 4 4 5 6 7 8 10 11 12 13 15 16 14 10 8 7 7 6 6 5 4 3 4 4 5 6 6 7 7 8 9 9 9 10 12 13 12 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 8 10 10 9 8 7 7 6 5 5 4 4 5 6 7 8 8 8 7 6 5 4 4 4 4 4 3 4 4 4 5 6 5 3 2 3 4 4 6 7 6 5 4 2 1 1 1 1 1 0 0 1 2 3 3 3 4 5 6 7 7 7 7 7 7 7 6 6 6 7 7 6 6 7 7 8 8 9 8 8 7 6 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 7 9 14 19 16 10 7 6 6 8 12 18 27 29 20 13 12 11 10 10 10 10 10 9 7 6 5 5 6 6 7 9 11 16 21 25 24 18 11 7 7 10 12 12 10 7 6 5 4 5 10 16 11 3 9 10 -0 -4 -1 4 4 3 1 2 4 2 2 6 10 9 6 6 10 15 15 12 11 8 4 -0 5 10 8 2 2 8 7 4 9 9 2 2 6 10 13 1 -3 9 26 25 14 3 -12 -14 3 9 8 11 11 8 6 7 17 25 16 5 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 4 5 4 4 5 4 4 3 3 2 2 2 3 4 4 4 4 4 3 4 4 5 5 4 4 5 4 4 4 5 6 7 7 6 5 3 4 4 5 5 4 3 2 3 3 3 4 3 3 3 3 3 3 4 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 5 6 5 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 6 7 8 9 9 8 8 7 4 1 3 7 7 5 5 5 6 6 6 6 6 7 8 8 8 9 8 8 8 8 6 6 4 2 1 2 5 5 3 2 2 2 1 1 1 2 2 3 4 4 3 3 3 4 5 7 6 7 9 11 14 19 22 19 12 7 7 8 7 6 5 4 3 2 3 4 6 7 7 8 8 8 8 8 8 9 12 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 5 4 4 4 3 4 3 4 3 3 3 2 2 4 5 7 8 9 9 9 8 8 7 6 5 4 3 4 5 6 7 8 8 6 5 5 5 5 4 4 4 4 4 4 6 7 6 4 4 4 5 5 5 6 6 7 6 5 4 3 2 2 1 1 0 1 1 2 2 3 3 4 4 4 5 6 6 6 7 6 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 5 5 7 9 12 19 20 14 7 5 6 8 9 10 17 18 12 2 2 6 8 9 10 10 10 8 7 6 6 6 5 5 7 7 10 15 21 24 22 17 10 7 6 5 6 9 13 12 10 9 7 7 7 9 12 8 4 16 7 -2 -0 2 5 7 2 -2 1 6 4 1 4 6 8 10 11 12 14 12 13 15 9 2 -3 4 10 8 1 4 12 11 10 14 6 -1 6 12 13 12 4 -2 7 29 23 8 -6 -15 -6 6 9 10 11 9 7 6 6 13 25 21 7 4 5 5 5 5 5 5 4 5 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 3 4 4 4 4 4 3 4 4 4 3 2 2 2 2 3 3 4 4 4 4 4 3 3 3 2 2 3 3 4 5 6 5 5 4 4 4 5 5 5 3 3 3 3 3 3 3 5 6 6 6 4 4 4 4 4 4 3 3 2 2 3 4 4 3 3 3 3 3 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 4 4 4 4 3 3 3 3 3 4 3 3 3 4 5 5 5 6 6 7 8 9 9 8 6 3 2 5 7 7 5 4 4 4 4 4 4 5 5 6 6 7 8 8 9 9 9 8 7 6 5 3 2 3 4 5 4 4 4 3 2 2 1 2 2 3 4 3 3 3 3 4 5 6 7 8 10 13 18 23 22 12 4 5 7 7 7 5 4 3 2 3 4 5 7 7 8 8 8 7 7 7 7 9 12 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 2 1 2 2 3 5 7 8 8 8 8 7 6 6 4 3 3 4 4 5 6 6 6 6 5 5 4 4 4 4 4 4 5 6 7 8 7 6 6 6 5 4 4 4 6 6 7 6 5 4 3 2 2 1 1 1 2 3 3 2 3 3 3 4 4 4 4 5 6 6 6 7 7 7 6 6 6 6 7 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 10 14 16 17 14 9 7 6 6 9 9 5 8 2 -11 -11 -3 5 8 9 9 9 8 7 7 7 7 6 5 5 7 8 12 18 23 21 14 9 5 5 5 6 4 5 8 9 11 11 10 9 5 3 6 9 7 13 2 0 4 4 8 10 3 -1 8 13 6 1 1 3 9 12 10 10 12 7 6 9 2 3 6 7 10 4 0 6 8 9 14 13 2 1 8 10 11 11 14 9 19 31 19 1 -16 -13 7 14 16 16 13 9 6 5 5 12 25 24 9 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 4 4 4 3 3 2 2 2 2 3 3 5 6 7 6 5 4 4 4 5 5 4 3 3 3 2 2 2 2 3 4 4 3 4 3 4 4 4 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 2 3 4 5 5 5 5 5 6 6 9 10 8 5 3 5 8 9 7 5 4 4 3 2 2 2 3 4 4 5 6 6 8 8 9 9 9 9 9 8 5 3 2 2 4 5 6 6 6 5 4 3 3 2 3 4 3 3 3 3 3 4 5 7 7 9 11 15 18 17 10 4 3 5 7 7 6 5 3 3 3 4 5 6 7 7 6 6 7 6 7 7 8 8 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 5 5 5 5 5 6 5 5 5 5 3 2 2 1 1 2 3 5 6 6 7 7 7 6 6 5 4 4 3 3 4 6 6 6 6 5 4 4 3 4 4 4 5 6 8 9 9 8 7 5 4 3 3 3 4 5 6 7 7 6 5 4 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 5 5 5 5 5 5 5 5 5 4 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 4 5 7 7 8 10 15 16 11 9 8 7 6 6 7 4 0 1 -3 -13 -6 3 8 8 8 7 6 6 7 8 8 8 7 6 6 7 9 14 20 22 15 8 6 2 2 4 7 6 5 4 3 4 7 9 7 1 2 3 1 13 10 -2 2 3 5 12 15 6 1 8 11 8 5 3 3 7 8 5 7 11 8 2 3 -8 3 16 11 10 2 2 1 -1 5 12 7 2 6 10 8 1 7 20 16 27 29 15 -7 -25 -13 16 28 31 25 16 9 6 4 4 11 24 25 11 4 5 5 5 6 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 5 7 7 7 5 4 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 4 4 4 4 3 3 3 3 4 4 4 5 4 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 3 2 2 3 4 5 6 7 7 6 5 5 5 9 14 12 7 8 12 12 10 8 6 4 3 3 2 1 1 1 2 2 3 4 5 6 7 7 8 9 10 10 10 8 6 3 2 3 5 6 6 7 6 6 5 4 3 3 3 4 3 2 2 2 3 4 5 6 7 9 11 13 12 7 4 4 5 6 7 7 7 5 5 5 4 4 5 6 5 5 6 6 7 7 7 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 4 4 4 5 5 5 6 6 7 7 7 7 6 4 3 1 1 1 2 3 4 5 6 7 7 7 7 6 5 4 4 3 3 4 5 6 6 6 5 5 4 3 4 4 6 7 8 10 11 10 7 4 3 2 2 2 3 4 5 6 7 6 5 5 5 4 4 3 2 2 2 2 2 2 2 2 2 2 2 3 4 4 4 4 4 4 3 3 3 3 4 5 6 7 7 7 7 7 6 6 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 7 8 8 8 14 16 11 8 8 7 6 7 6 1 2 4 1 -3 3 7 7 6 5 5 5 6 8 9 9 9 8 8 8 8 13 19 23 20 10 6 3 1 -1 0 1 7 10 8 4 2 3 5 3 1 2 -4 -4 15 10 -2 2 3 5 14 20 8 2 2 5 11 12 6 3 4 3 4 7 7 7 7 5 -5 2 13 12 11 3 -1 -5 -3 6 6 1 4 9 10 6 -0 7 13 13 28 28 13 -10 -21 -4 21 33 35 26 15 9 7 5 3 9 21 27 15 5 5 5 6 6 5 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 4 4 4 5 3 3 4 3 3 2 2 2 3 4 3 3 3 2 2 1 2 3 3 4 4 4 3 3 4 5 6 6 6 5 4 4 4 4 3 3 3 3 4 4 4 4 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 5 5 6 6 6 6 6 6 6 5 6 5 5 4 4 5 5 5 5 6 6 7 6 6 7 7 6 5 5 5 5 5 4 3 2 2 3 5 7 8 8 8 7 6 5 5 8 14 14 11 14 17 15 11 8 6 5 3 3 2 1 0 0 1 1 2 3 3 4 5 6 7 8 9 10 10 10 8 6 4 3 3 5 6 6 6 5 5 5 4 4 3 3 2 3 2 2 3 3 4 5 6 7 8 9 8 7 6 5 5 6 6 7 8 9 8 6 5 5 5 6 6 5 5 7 7 7 7 7 8 10 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 3 3 4 4 4 5 5 6 6 7 8 8 8 7 5 3 2 2 2 3 3 4 4 6 7 7 8 7 6 5 5 4 3 3 4 4 5 6 6 5 4 4 4 5 6 7 9 10 11 10 6 4 2 2 2 2 2 3 4 5 6 5 5 5 6 6 5 4 3 2 2 2 2 3 3 2 2 2 2 3 3 3 3 3 3 3 2 2 2 3 2 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 5 4 5 6 7 7 7 6 11 17 16 11 7 6 6 6 5 0 4 7 4 2 5 5 5 4 3 4 5 6 8 8 9 10 11 11 12 14 20 25 24 16 8 5 3 3 4 0 -3 3 6 8 8 5 4 1 0 5 6 0 6 12 4 -0 3 4 3 11 14 4 4 5 8 13 11 6 4 2 2 8 11 6 6 12 7 4 3 7 10 8 2 -2 0 5 3 -5 -6 3 11 8 0 -1 5 4 11 29 30 13 -6 -8 7 20 24 24 19 12 8 7 4 2 9 23 29 16 5 5 6 6 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 4 5 4 4 4 3 3 3 3 3 3 3 4 4 3 3 2 1 1 2 4 4 5 5 5 3 2 3 5 6 6 6 6 5 4 4 4 3 3 4 4 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 5 3 3 4 4 4 4 3 2 3 5 7 8 9 10 10 9 6 5 4 6 9 10 11 15 17 15 11 8 7 5 3 3 3 2 1 1 0 0 1 2 2 3 4 4 4 6 7 8 9 11 10 8 6 3 4 5 5 5 4 4 5 5 5 4 4 3 3 3 3 2 3 4 4 5 5 6 6 7 7 7 8 8 6 6 6 7 9 11 12 10 7 5 5 6 6 5 6 7 7 7 7 6 7 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 3 4 3 3 4 3 4 4 5 6 7 9 10 9 8 6 4 3 3 3 3 3 4 5 6 8 9 9 8 6 6 5 5 4 3 3 4 5 6 5 4 4 5 6 7 7 9 9 10 8 5 3 2 2 2 3 2 3 3 4 4 3 3 4 5 5 5 5 4 3 2 1 2 2 3 3 3 2 2 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 5 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 5 4 4 5 6 7 7 6 6 8 20 25 15 7 6 6 5 0 -2 4 6 4 4 4 3 2 3 2 3 4 6 7 7 8 13 14 15 17 20 24 23 19 12 7 6 4 6 8 3 5 2 2 5 7 5 3 0 2 8 10 8 10 13 8 4 4 2 -2 3 1 -1 7 11 12 14 11 10 5 0 3 12 16 10 7 10 4 3 6 9 8 5 -1 -7 5 17 8 -8 -6 4 6 -0 -3 3 6 1 10 27 28 14 2 3 13 17 17 15 12 8 6 5 3 3 11 23 22 9 6 7 6 6 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 3 4 4 3 3 2 2 2 3 4 4 4 5 5 3 1 3 6 7 6 6 7 6 6 5 4 4 4 5 5 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 8 9 9 9 10 9 9 9 8 6 4 3 2 3 4 3 3 3 4 7 8 9 10 10 10 8 7 5 4 4 5 6 7 10 13 13 10 8 7 6 4 4 5 5 5 4 2 1 1 1 2 2 3 3 3 4 5 6 8 10 11 10 8 5 4 5 5 4 4 4 4 4 4 4 5 5 5 4 3 2 3 4 5 5 5 5 6 6 6 8 8 8 7 6 5 7 9 11 14 14 11 8 6 5 6 5 6 6 7 8 7 6 6 8 9 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 3 4 3 3 3 4 5 6 7 9 9 9 7 5 4 3 3 3 3 4 5 6 7 9 10 8 6 6 6 5 5 4 4 4 5 6 5 4 4 6 7 7 7 7 8 8 7 5 3 3 3 3 4 3 3 3 3 2 2 2 3 4 4 4 5 6 5 3 2 1 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 4 5 6 5 5 5 6 6 6 6 6 6 6 6 6 5 4 5 6 7 6 6 5 5 10 26 29 17 8 7 7 3 -4 -3 4 6 5 4 2 0 1 2 3 3 3 5 6 7 11 15 15 17 19 18 18 17 13 10 9 7 5 4 2 4 7 6 5 7 6 3 2 3 5 5 6 8 11 18 16 9 6 1 -4 -2 -2 3 10 11 12 15 13 11 4 -2 2 11 16 11 6 4 -1 -2 7 10 7 3 -2 -5 7 24 13 -1 -0 3 -3 -8 -1 6 4 4 13 21 19 12 9 10 14 17 15 12 9 7 7 6 3 3 9 15 11 6 12 15 9 6 6 6 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 4 4 4 3 2 4 7 6 6 7 8 8 7 6 4 4 5 5 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 7 6 6 6 5 5 6 8 10 10 11 12 12 12 13 12 11 9 8 8 7 4 3 3 3 3 2 3 5 8 9 9 9 10 9 8 6 5 4 3 4 5 5 6 8 9 8 7 6 6 6 7 8 9 9 7 5 2 1 1 2 3 3 3 3 3 4 5 7 8 9 10 9 8 6 5 4 4 4 4 3 3 3 3 5 6 6 5 3 2 3 4 5 5 5 6 6 6 6 6 7 7 6 6 6 6 8 10 14 17 16 12 8 6 6 6 6 6 7 9 8 6 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 5 4 5 5 5 5 4 3 4 5 6 7 8 8 7 6 4 3 3 3 4 5 5 5 7 9 9 7 5 4 5 6 6 5 5 4 5 5 5 5 5 6 7 7 7 7 7 7 6 4 3 3 3 4 4 5 4 3 3 2 2 2 3 3 3 4 6 7 7 5 2 1 1 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 6 7 7 6 4 5 6 14 27 27 16 10 9 8 5 2 2 4 6 6 4 0 -1 -0 2 3 3 4 5 6 11 17 14 12 18 16 12 12 13 12 11 10 8 4 -1 -2 4 3 4 7 10 6 4 4 6 7 4 9 10 6 9 10 7 6 2 -3 -2 2 8 14 12 9 11 10 6 3 1 4 9 11 7 3 1 -2 -2 4 5 5 7 4 3 13 22 12 4 2 1 -4 -4 3 4 1 8 15 15 10 8 12 14 15 14 13 10 7 8 8 6 3 3 6 8 8 8 15 24 16 6 6 6 5 5 4 4 5 5 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 5 5 5 4 4 4 4 4 4 5 4 4 3 3 3 3 3 4 5 5 5 5 5 3 3 3 5 5 5 5 7 8 8 7 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 7 6 7 7 7 7 6 6 6 7 9 11 12 14 14 15 16 17 17 16 12 7 7 8 8 6 4 3 3 3 1 1 5 9 9 8 8 8 8 7 6 6 5 4 4 5 5 5 6 7 7 6 6 6 7 8 10 12 12 10 7 4 2 1 2 2 2 3 4 3 3 4 5 6 8 9 10 9 8 6 5 4 4 4 2 2 2 3 5 7 7 7 5 3 3 4 5 5 5 6 6 6 6 6 5 5 6 6 6 6 7 8 10 15 19 18 12 8 6 6 5 5 7 8 9 7 6 6 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 8 9 8 7 7 7 7 8 8 8 6 4 5 5 6 6 6 6 5 4 3 3 3 5 6 6 6 7 8 8 6 4 3 4 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 5 3 3 2 3 5 6 6 6 5 4 3 3 3 3 3 3 3 6 7 8 6 4 2 2 3 4 4 4 3 3 3 3 3 3 4 3 3 4 3 3 2 2 2 3 2 3 3 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 7 9 7 5 4 5 8 17 27 23 13 10 9 10 12 15 14 6 3 4 2 -0 -1 -1 1 3 4 5 6 11 19 22 12 12 17 12 11 13 14 13 10 6 3 -0 0 6 7 2 3 6 6 6 5 4 7 7 11 25 18 1 -2 2 4 4 1 1 5 7 13 17 10 4 1 1 -0 6 8 8 9 8 3 -1 0 2 6 9 8 7 10 7 5 8 10 11 10 6 -2 -1 4 6 5 7 12 14 8 4 6 12 17 16 13 11 7 5 7 8 4 2 3 6 7 7 8 14 26 21 7 5 6 5 5 5 5 5 5 4 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 5 4 3 3 3 3 3 4 5 5 5 6 5 3 3 3 4 3 3 5 6 7 7 7 6 5 5 6 6 6 6 6 6 6 5 5 5 6 7 6 6 6 6 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 8 10 12 14 15 16 17 19 19 20 19 14 8 5 6 6 7 6 4 3 4 3 1 1 5 7 7 7 7 7 8 8 8 7 7 7 6 6 6 7 7 7 6 6 6 7 7 7 11 15 15 12 9 6 5 3 1 1 2 3 3 3 3 3 3 4 6 8 9 10 9 7 6 4 4 3 3 2 2 3 5 7 8 8 6 4 3 3 4 5 5 6 6 7 6 6 5 5 6 6 6 6 6 6 7 11 16 18 16 12 8 5 3 4 6 8 8 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 10 10 9 9 9 9 11 12 11 10 8 6 5 5 5 5 5 5 4 3 3 3 6 7 7 6 6 7 8 7 5 2 3 4 5 6 6 6 6 6 5 6 6 7 7 7 6 6 5 5 4 3 3 3 4 6 7 8 7 6 5 4 5 4 4 4 3 3 4 6 7 7 5 4 3 3 3 3 3 4 4 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 7 9 8 6 4 4 6 10 20 26 19 10 8 9 13 14 16 10 2 1 2 2 0 -1 -0 1 3 5 6 9 18 24 18 11 12 11 11 16 18 17 14 8 4 -0 -2 6 14 12 3 3 3 5 4 4 3 5 8 17 29 17 6 6 5 3 0 2 8 12 10 14 14 6 2 -3 -6 -1 10 12 10 11 10 4 1 3 5 9 14 10 6 7 5 2 -3 1 8 11 10 1 1 7 9 9 10 11 8 3 3 8 12 17 16 13 10 6 5 6 6 3 2 4 7 8 7 9 14 24 23 10 5 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 4 3 3 4 4 4 5 6 6 6 6 5 4 3 3 3 2 2 4 5 5 6 6 6 5 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 9 12 14 16 17 17 17 18 19 19 16 11 7 4 5 5 6 5 5 4 3 4 4 2 3 6 6 7 6 7 8 8 8 9 9 8 9 8 9 9 9 7 5 5 7 7 7 7 7 11 15 17 16 12 9 7 4 2 2 2 2 3 3 3 3 3 4 5 6 8 10 10 10 8 6 4 4 4 3 3 4 5 6 7 9 7 5 3 2 3 4 5 5 5 6 7 6 5 5 5 5 6 6 6 6 6 8 11 14 16 14 10 5 3 2 4 6 8 8 7 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 9 9 8 8 9 9 10 11 11 11 10 8 7 6 5 4 4 4 4 3 3 4 6 8 8 6 5 5 7 8 6 4 3 3 4 5 6 7 6 6 5 5 6 6 6 6 6 5 5 4 4 4 4 4 5 7 8 8 8 6 6 5 6 6 5 4 4 3 4 5 6 7 7 6 4 4 4 3 3 4 4 3 3 2 2 4 5 5 5 4 4 3 3 3 2 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 6 7 8 8 7 4 3 5 9 15 26 27 15 8 7 7 10 4 2 -2 -4 -0 1 1 1 0 1 2 3 5 7 12 21 20 12 9 8 6 10 16 18 17 14 8 5 2 0 6 8 7 6 5 2 5 4 2 3 4 10 14 11 4 8 8 4 2 1 6 13 13 8 8 6 3 3 1 -1 3 10 13 12 11 10 8 6 5 6 8 11 7 2 3 6 5 -5 -3 1 5 7 5 5 9 10 10 9 6 1 -1 5 9 10 14 15 13 9 7 7 8 5 1 1 6 8 8 8 8 14 25 25 12 5 6 6 6 6 6 5 5 5 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 2 1 3 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 9 10 13 16 17 18 17 16 16 16 17 17 12 6 5 6 5 5 5 4 4 4 4 5 2 1 5 7 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 6 5 5 9 8 5 5 7 10 13 16 18 15 12 8 6 5 5 4 3 4 3 2 2 3 3 4 5 6 8 10 10 10 8 6 5 4 4 4 4 5 4 5 6 6 4 4 3 2 3 4 4 4 5 7 7 6 5 5 5 6 7 6 6 5 6 8 10 12 14 12 7 4 2 2 4 5 6 6 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 5 6 6 7 7 7 8 8 9 9 9 9 8 7 6 6 5 5 4 3 4 6 8 9 8 5 5 5 7 8 6 4 3 4 4 5 6 6 5 5 4 4 5 5 5 5 5 5 5 4 4 5 6 7 7 8 8 7 7 6 6 6 7 5 5 5 4 5 5 6 7 8 7 6 5 4 4 4 4 4 3 2 2 3 5 6 6 5 4 4 4 4 3 2 2 2 2 2 2 2 3 3 3 4 4 4 4 5 6 7 8 9 9 6 3 5 9 16 28 35 27 11 7 5 2 -0 -9 -10 -5 -3 -2 0 1 1 1 1 3 4 6 7 12 18 17 11 8 6 4 6 8 12 13 13 10 7 6 4 3 3 6 8 6 1 -0 1 2 3 5 9 10 -1 2 10 6 4 5 5 9 11 9 6 4 1 1 3 4 4 6 8 7 7 7 8 8 6 5 4 6 8 6 4 3 4 5 4 -1 3 6 2 3 7 9 10 10 8 4 1 5 9 7 8 10 12 11 9 7 8 10 6 2 2 6 8 8 7 8 17 29 25 11 5 5 5 6 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 5 4 4 5 5 5 5 4 3 3 2 4 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 6 6 5 5 6 6 6 6 7 7 7 8 9 11 13 16 18 19 18 16 14 13 13 14 16 14 10 8 7 7 6 6 5 5 5 5 7 2 1 6 6 6 6 7 7 8 8 7 8 7 7 6 5 5 6 6 5 5 5 7 8 6 6 7 7 9 12 15 15 13 11 10 9 8 8 9 8 6 3 3 3 3 4 4 5 7 8 9 9 9 7 6 5 4 5 5 5 4 3 3 4 4 4 4 3 3 3 3 4 4 5 6 6 6 5 5 5 6 6 6 6 6 7 8 10 12 12 10 4 1 1 2 3 4 4 4 4 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 0 0 1 2 3 3 4 5 6 5 6 7 7 8 8 9 9 8 8 8 8 8 7 6 6 8 9 8 7 5 4 6 9 10 7 4 3 4 4 5 5 5 4 4 3 4 4 4 4 5 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 5 4 5 5 5 4 3 2 2 3 5 7 7 6 5 5 5 4 3 3 2 2 2 2 2 2 2 2 3 4 4 4 4 5 6 8 10 10 8 5 4 10 19 28 38 37 20 8 4 -1 -5 -7 -14 -12 -4 -2 -2 -1 0 1 2 2 3 5 7 7 9 14 16 15 12 8 7 7 4 5 9 11 11 9 9 11 5 6 8 8 9 6 -0 -1 2 6 10 11 7 0 6 14 10 8 7 8 8 7 6 5 4 3 2 3 5 6 5 3 1 3 7 8 8 11 9 4 2 3 5 4 3 2 7 15 8 9 10 0 -0 7 8 5 9 8 3 9 18 15 7 8 9 9 9 9 7 8 10 9 5 4 6 8 8 7 13 26 31 20 7 4 5 6 7 7 7 6 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 3 4 5 5 5 4 4 3 3 4 4 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 6 5 5 5 6 6 6 6 6 7 7 8 11 13 17 19 19 19 16 14 12 10 9 11 15 15 10 8 8 8 8 8 7 7 7 6 5 3 4 6 6 6 5 6 6 7 6 6 6 6 5 5 4 3 3 4 4 6 6 7 8 7 6 6 6 7 9 11 12 12 11 11 9 9 13 16 16 12 6 4 4 3 3 3 4 5 7 8 8 8 8 6 5 5 5 5 6 5 4 3 3 3 5 5 5 4 3 4 4 3 3 3 5 6 6 5 4 5 6 7 7 6 7 8 9 10 12 10 4 2 2 2 2 3 3 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 -0 -0 0 1 1 1 2 3 3 4 5 5 6 7 8 8 9 8 8 10 12 13 12 9 9 9 8 7 6 5 6 10 14 12 7 4 4 4 4 4 4 4 3 3 3 4 4 3 4 4 3 4 5 5 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 7 7 6 5 5 5 5 5 5 4 3 2 2 3 6 7 7 6 5 5 5 5 4 3 2 2 2 1 1 1 2 2 3 3 3 3 4 5 6 9 11 10 7 5 10 21 29 31 29 23 10 4 3 -4 -4 -8 -13 -9 -4 -2 -2 -1 0 1 2 3 4 6 8 8 8 11 15 18 16 12 12 11 6 4 6 7 9 10 14 14 6 8 6 7 8 10 5 -0 0 8 15 11 3 5 5 9 12 9 6 6 5 6 7 7 8 7 5 6 6 4 2 2 0 2 11 12 7 12 12 7 2 1 2 1 4 3 6 11 7 8 12 4 3 6 6 5 8 4 4 17 26 17 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 10 21 34 29 12 5 4 5 6 7 7 7 7 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 5 5 5 5 6 6 6 7 6 5 5 4 4 4 4 4 3 3 3 4 4 4 5 4 4 4 4 4 3 2 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 5 6 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 8 10 13 15 18 19 18 16 13 11 9 6 5 8 12 13 10 7 7 8 8 8 8 9 9 7 5 2 4 7 7 5 5 5 6 5 5 5 4 4 5 5 4 3 3 3 4 6 7 9 12 6 3 5 6 5 7 8 10 9 8 7 7 7 12 19 25 23 13 5 1 2 3 3 4 4 5 7 7 7 7 7 6 5 5 5 6 6 5 4 3 4 5 6 5 5 4 4 4 3 3 3 4 5 6 5 5 4 5 6 7 7 8 8 8 9 11 10 5 3 3 3 3 3 3 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 1 -0 1 1 1 0 0 1 1 1 3 4 4 5 7 8 9 8 7 9 13 16 17 13 10 8 7 6 6 6 6 10 16 17 12 7 4 4 5 4 4 4 3 3 3 4 4 4 4 4 3 4 4 5 5 6 7 7 7 6 6 6 6 5 5 5 6 7 7 7 8 8 7 7 6 5 5 5 5 5 5 4 2 2 2 3 5 6 6 5 5 5 5 4 4 3 3 2 2 2 1 1 2 2 3 3 4 4 4 5 7 11 12 9 6 9 19 27 28 23 14 6 5 10 12 5 2 -7 -11 -7 -4 -2 -1 -0 1 1 2 3 5 8 9 9 9 12 18 20 15 11 15 14 10 5 4 4 6 9 14 12 7 6 5 5 8 13 8 -1 -2 7 13 7 4 8 5 2 11 7 6 5 5 6 6 7 10 10 9 10 8 0 -2 4 2 2 15 11 2 5 10 11 8 7 4 2 8 12 8 2 1 8 13 8 6 7 5 14 8 4 11 22 22 13 9 8 9 10 9 9 9 7 5 3 3 6 8 8 8 12 25 34 23 8 4 4 6 6 7 7 7 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 6 6 5 6 7 6 5 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 3 3 3 2 3 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 11 14 15 17 17 15 13 11 8 7 5 2 1 6 9 9 7 6 6 7 7 7 8 9 8 6 4 4 6 6 5 6 6 6 6 6 6 4 2 3 4 4 4 4 4 4 5 6 7 13 7 2 6 7 6 6 6 7 7 6 5 5 5 8 16 26 29 23 10 2 1 2 3 4 4 5 5 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 3 3 4 5 5 5 4 4 4 6 7 9 9 9 10 11 9 6 4 2 2 3 3 4 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 3 3 2 1 0 -0 0 2 3 4 5 8 9 10 8 6 6 9 14 16 13 9 7 6 5 5 5 5 7 13 19 18 11 6 5 5 5 5 5 5 4 4 5 4 4 4 4 3 3 4 4 5 6 7 7 6 5 5 5 4 4 3 3 4 5 5 6 7 6 6 5 5 5 5 4 4 4 4 4 3 2 2 3 4 5 5 5 4 5 5 4 4 3 2 2 2 2 2 1 1 2 3 3 4 4 4 6 9 13 12 8 9 14 19 21 24 21 12 1 6 18 19 11 2 -10 -11 -6 -2 -0 1 1 1 2 2 4 7 9 10 10 12 17 22 20 13 11 15 16 12 7 3 3 6 8 9 9 10 9 13 6 4 8 4 -4 -1 6 7 2 5 6 3 4 9 6 5 7 6 4 3 6 9 10 10 12 10 3 -1 3 -1 2 11 3 -0 -1 6 8 7 10 9 6 8 13 13 9 2 8 12 10 8 8 7 10 6 10 20 21 14 10 8 8 9 9 9 10 9 7 3 1 1 4 7 7 7 13 25 29 17 6 4 5 6 7 7 8 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 7 6 5 4 3 3 3 4 4 4 5 5 4 3 2 2 2 4 4 4 4 3 2 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 9 11 14 14 14 14 13 11 9 7 7 8 5 -0 1 5 7 7 7 6 6 5 7 8 9 9 8 6 3 2 4 5 6 6 6 6 6 7 7 4 3 3 3 3 2 2 3 3 5 6 6 5 4 6 7 7 7 6 6 6 6 6 6 4 5 10 19 26 24 15 9 6 4 4 4 4 4 4 5 5 6 6 6 6 6 5 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 4 3 3 4 5 5 5 4 3 4 5 8 9 10 10 11 10 7 4 2 2 3 3 3 3 2 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 4 5 5 4 3 2 1 2 2 3 4 5 8 10 10 9 7 5 6 9 11 9 7 5 4 4 4 4 4 5 9 17 20 14 8 5 5 6 7 7 6 5 6 6 5 4 4 3 3 4 4 4 5 6 7 7 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 4 4 3 4 3 3 3 2 2 3 4 4 5 4 4 4 4 4 4 3 2 2 3 3 2 2 2 3 3 4 4 4 6 11 15 16 13 10 12 12 10 12 21 24 18 9 7 10 7 -1 -10 -15 -10 -3 1 2 3 3 2 3 4 5 7 10 15 17 17 20 20 17 16 14 14 16 14 10 5 4 4 6 8 9 5 2 5 -1 -2 -1 -2 -4 3 8 4 -0 2 2 3 8 5 1 1 5 6 3 2 3 4 6 8 10 14 11 7 6 3 5 5 -1 -0 -4 2 1 2 9 10 8 6 5 5 7 5 5 8 15 11 5 10 2 1 14 18 15 10 8 8 8 8 8 8 8 8 5 3 1 2 4 6 7 7 13 24 27 14 5 5 6 6 7 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 3 4 4 5 6 6 5 4 3 2 2 3 4 4 4 3 3 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 8 10 12 13 12 11 11 11 10 8 6 4 8 14 9 4 4 5 6 7 7 6 7 12 13 10 9 9 8 3 0 3 5 5 5 6 6 5 7 10 10 8 6 5 5 3 2 2 3 5 6 3 2 4 5 6 7 7 6 6 6 6 7 6 5 4 6 10 17 20 20 17 13 8 5 4 4 4 3 3 4 5 5 5 6 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 3 3 3 5 7 9 10 10 12 11 8 4 3 4 3 2 1 1 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 6 5 5 5 4 4 4 4 4 5 6 8 10 10 8 7 6 6 6 7 6 5 5 4 4 4 4 4 5 6 12 18 16 10 7 6 7 8 8 7 6 6 6 5 4 4 4 4 4 4 4 5 6 6 6 5 4 3 3 3 3 3 2 2 2 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 3 4 3 2 2 3 4 4 5 8 13 19 21 19 13 7 9 7 3 8 18 21 18 16 7 -3 -13 -16 -16 -12 -5 1 3 3 2 3 3 4 5 6 8 14 21 21 16 14 14 15 19 14 12 16 15 10 7 4 0 -1 7 10 -0 -4 -3 -2 1 0 1 2 6 10 3 -1 0 1 2 4 1 1 -1 -1 5 6 4 2 3 8 7 11 18 18 14 13 11 6 2 8 11 4 2 -1 1 9 7 9 9 5 2 3 3 -0 7 20 11 2 6 2 8 21 19 12 8 7 8 9 8 8 8 7 5 4 4 3 2 4 6 7 7 11 22 27 15 6 7 7 6 7 7 7 6 6 6 6 6 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 5 6 5 5 4 4 3 3 3 3 3 4 5 5 6 5 4 3 3 3 2 3 3 3 3 4 4 4 3 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 5 5 5 5 6 5 6 6 7 7 6 6 6 6 6 6 7 7 9 10 12 12 11 9 9 10 9 7 4 0 -0 11 15 9 6 5 6 7 7 3 5 15 21 14 8 8 6 2 1 5 5 5 5 5 5 5 5 7 9 9 9 7 7 7 5 4 4 5 6 5 3 4 4 5 6 7 7 5 4 4 5 6 6 5 5 7 10 15 20 21 17 11 6 4 5 6 5 4 4 4 4 5 5 5 5 5 5 4 5 5 5 4 4 4 4 5 6 5 5 5 5 5 5 4 4 4 4 5 4 3 3 3 5 6 7 9 12 13 12 9 7 6 5 2 1 1 1 -0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 6 6 5 5 5 5 5 5 6 6 6 7 9 9 7 6 6 7 6 5 5 5 4 4 4 4 4 5 5 5 8 14 16 12 8 7 7 8 8 7 6 6 6 5 6 6 6 6 6 6 5 5 5 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 2 2 3 3 4 4 4 4 4 3 2 2 3 2 1 1 2 3 3 4 4 4 4 4 4 4 3 3 3 5 9 15 20 21 17 12 6 2 5 4 -0 6 12 13 12 12 1 -14 -22 -18 -11 -4 1 3 3 3 3 3 4 5 8 10 12 19 24 18 11 8 10 13 13 8 9 16 13 6 5 4 3 4 9 9 7 7 7 5 4 6 8 7 8 14 5 -1 -1 1 2 1 3 5 1 -2 5 7 5 3 6 11 8 11 20 22 17 15 11 5 6 16 17 13 10 3 4 9 5 4 7 6 5 5 1 -3 7 14 10 9 11 10 14 22 20 13 9 8 8 8 8 8 8 5 3 3 4 4 3 4 6 7 7 10 21 28 17 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 5 4 5 5 4 4 5 5 5 5 6 6 4 4 4 3 3 3 3 3 4 5 5 5 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 5 6 6 5 5 5 5 5 5 5 4 5 5 6 6 7 7 7 7 7 6 6 6 6 6 7 7 9 10 12 11 10 9 8 8 7 5 5 0 -5 -0 9 9 7 6 6 7 5 -1 -4 6 18 17 9 5 2 -1 2 6 6 6 6 6 5 5 5 5 5 6 7 7 6 6 5 5 5 5 6 6 6 5 5 5 5 6 6 5 4 3 3 4 5 5 4 5 6 9 14 17 16 13 8 6 7 9 10 7 5 4 4 4 4 5 5 4 5 4 4 5 5 5 4 3 3 4 5 6 6 5 5 5 5 5 4 4 4 4 5 4 3 2 3 3 4 6 9 11 12 12 11 10 9 6 3 1 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 9 9 7 6 5 5 4 5 5 6 6 6 7 8 9 7 7 8 8 8 6 4 4 4 4 4 4 4 5 5 6 7 11 13 11 9 7 8 8 7 6 6 6 6 6 7 8 8 8 7 7 6 6 5 5 5 4 4 3 2 2 2 3 4 4 4 4 4 5 4 4 3 3 2 2 2 3 4 5 5 6 5 4 2 1 2 2 1 1 1 2 2 3 4 5 5 5 5 5 5 4 3 4 12 21 24 19 12 5 3 3 4 5 1 -0 2 2 2 5 0 -14 -24 -19 -10 -3 1 2 2 2 2 3 3 4 7 14 18 18 20 18 13 12 11 11 10 5 2 4 12 10 6 3 5 11 14 13 11 15 17 10 4 6 10 10 8 9 19 8 -1 1 4 5 5 7 7 4 1 5 6 4 5 8 9 8 6 15 20 16 12 8 8 11 12 8 6 8 7 9 9 3 -4 -2 3 7 8 5 3 3 4 11 18 20 22 21 16 15 12 10 9 7 7 8 8 7 5 2 2 4 5 5 5 5 6 6 11 22 26 16 9 9 9 7 6 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 4 4 4 4 5 4 5 5 5 5 5 4 3 3 3 3 3 3 4 4 5 5 5 5 4 3 4 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 6 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 10 12 11 9 8 7 6 5 5 7 5 1 -0 5 7 6 5 6 6 4 -3 -10 -6 8 14 9 3 -2 -1 4 6 6 6 7 7 6 6 5 4 5 6 7 7 6 5 4 5 4 4 5 6 6 6 6 5 5 5 6 6 5 3 2 2 4 4 4 4 4 5 7 10 13 14 12 11 10 11 11 9 7 6 6 5 4 4 4 4 5 4 4 5 5 5 4 4 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 2 2 3 3 5 8 11 12 12 13 13 12 9 4 2 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 13 13 12 12 11 10 8 7 6 5 5 6 5 5 6 7 8 7 9 10 11 9 7 4 3 3 4 5 5 5 5 5 5 7 9 12 11 9 8 7 6 7 6 5 5 6 7 8 8 8 8 8 7 7 6 5 5 5 5 4 3 2 2 2 3 4 4 4 5 5 6 6 5 5 4 3 3 3 3 4 5 7 7 7 5 4 4 3 2 2 3 3 3 3 3 4 5 7 7 6 6 6 5 5 11 22 26 22 11 1 -2 1 4 5 3 4 7 4 -4 -9 -11 -18 -25 -24 -11 -2 1 1 1 1 1 2 3 4 6 12 21 24 19 13 9 10 15 16 13 10 6 3 1 6 13 12 6 6 8 9 10 10 16 18 10 6 6 7 6 5 10 16 9 2 6 8 7 7 5 5 6 5 5 4 3 8 11 8 7 1 8 14 10 8 9 11 12 6 1 -1 -1 1 10 10 4 -2 -4 0 8 12 12 11 7 6 13 20 23 24 19 13 11 11 9 7 6 7 8 8 7 4 1 2 3 4 6 7 6 5 6 15 24 23 13 8 8 8 8 7 7 6 6 6 6 5 5 4 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 5 4 3 3 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 6 6 7 7 7 7 7 7 7 6 6 5 6 6 6 7 8 9 10 12 11 9 7 6 5 5 5 7 9 7 5 7 7 6 5 5 5 5 1 -5 -6 1 8 7 1 -3 -0 5 6 7 7 7 8 7 6 6 5 5 6 6 7 6 5 4 4 4 4 4 5 6 7 7 6 5 5 6 6 6 5 3 3 3 3 4 4 4 4 5 7 9 11 12 13 13 12 11 9 8 8 8 8 6 5 5 5 6 5 4 4 5 5 5 5 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 4 4 3 3 2 2 2 4 6 9 10 11 13 14 12 8 5 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 15 16 15 14 14 14 14 14 12 11 9 8 7 6 5 5 5 6 7 9 11 12 12 9 5 3 3 4 5 5 5 4 5 5 6 8 11 11 9 7 6 6 7 6 5 6 7 7 7 6 6 6 7 7 7 6 6 5 5 5 4 3 3 4 4 4 5 5 5 5 6 6 7 7 7 6 6 5 5 4 4 6 7 8 9 9 9 7 6 5 4 4 4 4 3 3 4 6 7 8 7 7 6 6 10 18 19 16 13 6 -2 -1 3 2 -4 3 16 22 17 4 -6 -15 -20 -19 -12 -3 0 1 1 0 1 1 3 4 6 12 20 24 20 13 8 9 12 15 17 14 12 11 9 3 4 12 12 8 5 0 3 10 12 15 12 7 6 4 5 3 3 9 3 5 6 11 10 8 6 4 4 6 6 4 2 4 9 12 7 2 0 12 12 4 3 6 9 10 7 6 3 -4 -4 8 13 9 8 0 -2 6 12 12 13 15 15 16 17 19 16 12 10 10 9 8 7 7 8 8 8 6 3 1 1 2 4 6 7 7 5 6 14 23 22 13 8 8 8 8 7 7 6 6 6 6 5 5 4 5 5 6 5 4 4 4 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 6 6 5 3 3 3 3 3 3 4 5 5 5 5 4 4 5 4 4 4 5 6 6 6 5 5 4 4 4 3 3 4 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 4 4 5 5 7 7 7 7 7 6 6 6 6 6 6 5 5 5 6 7 8 8 10 11 11 9 7 5 4 6 7 8 9 8 7 7 7 6 6 5 6 5 4 3 1 2 5 4 -2 -3 2 5 6 7 7 8 8 8 7 6 6 6 6 6 7 7 6 6 5 5 4 4 4 5 6 7 7 7 6 5 6 6 6 5 4 4 3 3 4 4 4 4 5 6 7 9 11 13 13 12 11 10 10 10 10 9 8 7 9 11 10 6 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 5 4 4 4 3 4 4 4 3 2 2 2 2 4 5 7 9 11 11 9 8 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 13 12 12 12 15 16 16 16 15 15 13 11 8 7 6 5 4 5 7 10 12 13 12 8 4 4 4 5 5 5 5 4 4 5 6 8 10 9 8 7 8 8 8 8 8 8 7 5 4 3 4 5 5 5 6 5 5 5 5 5 4 4 5 4 5 5 5 6 6 5 6 7 7 8 8 8 7 7 6 6 6 7 7 9 10 10 10 9 7 6 5 4 4 4 5 6 7 8 9 8 7 7 11 19 21 12 8 9 4 1 4 6 -3 -9 8 22 31 28 13 3 -3 -10 -8 -4 -2 -1 -1 -0 0 2 3 4 6 11 20 24 20 13 10 9 8 10 13 14 12 13 11 10 8 3 3 4 7 7 0 6 13 10 5 -0 -0 4 8 13 7 1 5 -3 -0 8 10 10 9 7 5 5 6 6 3 1 4 6 9 8 -1 3 15 11 8 3 1 3 9 11 10 3 -5 2 12 11 10 12 4 -2 4 7 8 11 16 18 18 17 14 10 9 9 9 7 7 7 7 7 8 8 7 3 1 1 2 4 6 7 6 5 5 10 18 23 19 11 8 9 8 8 7 6 5 6 6 5 4 4 5 6 6 5 5 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 4 4 3 3 3 4 4 5 5 5 5 5 4 4 4 4 4 5 6 7 7 6 5 4 4 4 4 3 3 3 4 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 5 5 5 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 6 7 8 8 9 11 11 9 6 4 3 7 12 11 9 7 7 7 6 6 6 6 6 6 5 5 5 4 4 1 -4 -2 3 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 5 4 4 5 6 7 7 6 6 5 6 6 7 6 5 4 4 5 4 4 4 4 5 6 7 9 11 12 12 12 11 12 12 11 10 10 10 12 18 22 17 9 6 4 4 4 4 4 4 4 5 4 3 4 5 5 5 6 5 4 4 4 4 3 4 4 4 4 3 2 2 2 2 3 5 6 8 9 9 9 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 9 10 11 13 14 15 16 17 16 14 12 12 10 6 3 3 5 8 11 13 13 12 9 7 5 5 5 5 5 5 4 4 5 5 7 8 9 9 10 10 9 9 9 7 6 4 3 3 3 3 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 7 7 7 6 6 6 6 7 7 8 8 7 7 5 6 5 6 7 7 7 8 9 9 9 12 20 23 16 8 4 0 -1 3 8 6 -7 -10 10 17 26 25 7 -3 -8 -12 -11 -6 -5 -2 -0 1 3 4 6 7 9 16 25 23 16 13 12 9 4 5 9 10 10 13 11 10 8 3 2 2 5 7 7 5 3 3 -0 -0 2 9 14 14 8 3 5 -1 1 9 7 6 7 7 5 6 6 6 5 5 4 2 6 10 2 7 11 13 15 7 4 6 10 11 8 0 -4 11 15 4 1 6 6 2 4 4 6 9 13 17 18 15 11 8 8 8 6 6 7 7 7 6 6 8 7 4 1 0 1 4 6 6 6 5 5 7 14 24 25 14 8 8 9 8 6 6 5 6 6 6 4 4 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 6 5 4 3 3 3 3 4 5 6 6 6 5 5 4 5 4 4 4 5 6 6 6 6 5 4 5 4 4 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 6 7 7 7 6 6 6 5 5 4 5 5 5 4 4 4 5 7 7 8 9 10 12 11 7 3 1 3 12 16 9 6 6 7 7 6 6 6 5 5 5 5 4 5 4 -1 -5 -0 5 5 5 6 7 8 8 8 7 7 8 8 8 7 7 7 8 8 7 7 6 6 5 5 5 5 5 6 7 6 6 5 6 6 6 6 5 5 5 5 5 4 4 4 5 6 7 8 10 10 10 10 11 11 11 10 9 9 11 18 28 29 20 12 6 4 4 4 3 4 5 5 4 3 4 4 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 3 2 2 3 3 3 5 6 8 8 8 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 7 8 9 9 11 12 13 14 14 14 13 13 15 15 10 4 2 3 6 8 11 13 15 14 11 9 6 6 5 5 5 5 4 4 4 4 6 8 10 10 9 8 7 7 6 5 4 3 3 3 3 4 4 4 4 5 5 6 6 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 6 5 5 4 4 5 5 6 6 6 6 7 7 7 7 7 7 8 7 9 14 19 18 10 4 2 -3 -4 1 9 12 6 -7 -8 1 6 8 8 -12 -20 -21 -17 -10 -5 -1 1 3 5 6 8 9 11 14 21 25 20 16 16 14 8 2 2 6 7 11 13 13 12 7 2 4 6 5 7 11 5 -3 0 5 5 6 13 9 7 10 11 8 4 4 7 7 4 5 5 4 5 5 5 9 11 6 1 5 7 3 2 4 16 13 7 13 17 14 10 5 -1 4 16 11 0 -5 3 8 4 4 6 7 8 10 14 15 12 9 7 8 8 6 6 6 7 7 6 6 8 8 6 3 0 0 3 5 5 5 6 7 8 13 25 28 15 6 7 9 8 6 5 5 6 6 6 5 4 4 5 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 6 6 5 3 3 4 4 3 4 5 6 6 6 5 5 4 4 4 4 5 5 6 6 6 6 5 4 4 4 3 3 3 4 4 4 5 5 5 5 6 5 5 5 6 5 5 5 5 5 4 5 6 7 7 6 6 5 5 4 4 4 5 5 5 4 4 4 5 6 7 8 9 10 12 11 8 4 2 -3 5 15 11 7 6 6 6 6 6 5 5 5 5 4 4 5 5 1 -3 1 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 6 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 5 5 4 4 4 5 5 6 7 7 8 8 9 9 9 9 9 7 6 11 25 35 32 21 11 5 4 3 3 3 4 5 4 4 3 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 3 3 3 3 3 3 4 5 6 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 8 8 8 8 9 10 11 12 11 11 10 11 14 16 12 7 3 2 3 5 8 11 15 18 17 14 10 7 6 6 6 5 4 4 3 3 4 6 7 8 7 6 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 6 6 6 6 5 5 5 4 4 4 3 4 5 5 5 6 6 6 6 6 5 5 6 6 5 5 5 4 4 5 5 6 7 8 8 8 7 6 6 7 7 10 14 13 4 -4 -6 -8 -8 4 12 16 14 7 -1 -3 -7 1 1 -8 -20 -20 -14 -6 -0 4 6 7 8 9 10 12 16 22 23 24 23 16 13 14 11 7 2 2 5 8 12 11 15 14 12 5 1 1 1 6 11 7 1 2 6 4 3 7 0 2 15 17 10 7 6 5 7 7 7 6 5 4 2 2 7 10 7 5 5 3 2 2 6 14 6 10 22 24 20 13 5 2 12 16 6 -1 -1 5 9 6 7 11 10 7 7 11 10 6 6 8 10 9 7 7 6 7 7 6 6 8 9 8 5 2 0 2 3 4 4 6 7 9 17 28 27 14 5 5 8 8 6 5 5 6 6 6 6 4 4 5 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 3 4 3 3 4 5 6 6 7 6 5 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 3 3 3 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 6 7 8 9 10 12 12 9 6 5 -1 0 8 10 7 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 6 6 6 7 7 7 7 8 8 9 9 8 9 9 8 8 8 8 9 9 9 9 8 7 6 5 4 4 4 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 4 5 5 5 6 6 6 6 6 6 7 7 5 5 16 33 39 29 17 9 4 2 2 3 3 4 5 4 3 3 4 5 5 5 5 4 4 4 4 4 5 5 5 6 5 5 5 4 3 2 2 2 2 2 3 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 7 7 7 7 8 9 10 9 9 8 7 10 13 12 9 6 3 3 4 5 7 11 16 19 18 15 10 6 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 4 4 3 4 4 4 5 6 7 7 7 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 6 5 5 6 8 12 14 11 4 -1 -3 -5 -6 3 13 15 14 10 7 4 -1 -4 4 7 -4 -3 2 6 8 11 12 13 13 13 13 15 17 25 29 26 22 19 13 10 9 6 6 5 4 4 5 9 10 13 13 16 10 1 -3 -1 6 10 7 5 5 4 3 5 3 -3 -1 11 12 9 9 7 4 9 12 10 5 4 4 1 0 3 5 7 9 6 2 4 10 12 9 5 13 20 19 17 9 3 5 12 11 2 -3 2 4 5 9 13 17 12 5 5 7 4 3 5 8 11 9 7 7 6 6 7 6 6 8 10 9 7 4 2 2 2 3 2 4 6 9 18 24 22 16 9 4 5 6 6 5 5 5 5 5 5 4 5 6 7 7 7 7 6 5 5 5 4 5 5 6 6 5 6 6 5 5 5 4 4 3 3 3 3 4 5 5 6 6 6 5 4 4 4 4 4 4 4 5 6 6 5 5 5 4 4 4 3 3 3 4 4 5 4 5 5 4 4 5 5 4 5 5 4 4 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 6 7 8 10 13 14 11 8 8 8 3 4 6 6 6 5 4 3 3 4 6 6 5 5 6 5 3 4 6 7 7 7 7 6 6 7 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 8 6 4 4 4 5 5 5 6 5 5 5 5 5 6 6 6 6 6 5 5 6 5 5 5 5 5 5 5 6 6 6 7 6 9 21 31 32 26 18 11 7 4 2 2 3 4 5 4 4 4 4 5 5 5 5 6 6 5 4 4 5 5 5 6 7 6 5 3 3 2 1 1 2 2 3 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 7 6 6 6 8 8 8 8 7 6 6 6 9 10 10 8 6 5 5 5 5 6 10 15 18 17 12 7 5 5 5 5 6 5 4 4 4 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 4 4 3 3 4 5 6 7 7 8 8 7 6 6 6 6 6 7 7 7 8 7 7 7 6 5 5 5 5 6 13 18 15 9 5 3 4 3 4 10 10 8 6 4 7 7 5 6 9 10 7 13 16 16 16 17 17 17 16 15 16 19 23 24 20 16 15 13 11 11 11 9 9 10 7 4 3 4 5 7 11 13 8 4 6 7 10 8 5 5 6 4 5 8 2 2 2 2 3 6 7 3 3 9 15 14 7 2 4 3 3 4 5 7 8 5 3 7 12 13 7 7 12 14 10 7 1 5 10 10 5 0 -2 1 -1 2 13 16 15 10 4 4 5 5 5 5 6 8 8 7 7 5 6 6 5 5 7 8 8 8 6 4 3 2 2 0 1 5 8 12 15 19 22 17 9 6 5 5 5 5 4 5 5 5 5 5 6 7 8 7 6 5 5 5 4 5 5 6 7 6 6 6 6 5 5 4 4 2 2 3 3 3 4 5 6 6 6 5 4 4 4 5 5 4 4 4 4 5 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 2 3 4 5 5 6 6 7 9 13 16 12 8 10 10 3 3 6 6 6 5 4 4 3 5 7 6 5 5 6 5 2 4 7 7 7 7 7 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 10 11 11 11 11 9 7 6 4 4 4 4 6 6 5 5 5 5 5 5 6 6 6 6 6 5 6 7 6 6 6 6 6 6 5 6 7 7 7 10 16 24 27 23 23 21 14 7 4 2 4 5 5 5 4 4 4 4 4 5 7 7 7 5 4 4 5 5 6 7 7 6 5 5 4 3 2 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 9 8 7 6 6 7 8 7 6 6 5 5 6 8 8 8 7 6 6 6 5 5 6 10 14 16 13 8 6 5 6 6 6 6 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 7 7 7 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 3 4 4 5 6 7 7 7 7 7 6 6 7 8 11 11 9 7 6 5 6 6 5 5 5 6 8 12 9 4 5 6 5 5 5 6 8 9 6 -0 5 13 12 9 9 10 10 10 16 20 19 18 16 15 15 15 16 20 23 21 14 9 9 10 9 10 12 14 14 15 14 9 6 3 1 0 2 9 10 6 7 12 12 11 7 5 6 6 9 14 15 4 6 8 3 3 3 4 2 2 10 17 13 9 4 2 3 5 6 5 5 5 4 4 7 11 12 12 12 10 9 9 4 -0 12 18 11 3 0 4 5 3 5 12 14 10 5 1 2 9 13 11 6 6 7 7 6 5 4 5 6 5 5 6 7 7 7 8 7 4 2 1 -0 1 4 5 6 9 15 20 20 18 14 7 5 5 4 4 4 4 4 4 5 6 7 7 6 5 4 4 5 5 4 6 8 8 7 7 6 5 5 5 4 2 1 1 2 2 3 4 6 6 6 5 5 5 4 4 5 5 4 4 4 4 5 6 6 5 5 5 4 4 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 5 6 7 8 12 15 13 9 7 6 4 4 6 6 5 5 5 5 5 7 7 5 4 5 5 3 2 4 7 7 7 7 7 7 8 8 9 9 8 8 7 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 12 11 10 9 7 5 4 4 5 6 6 6 5 5 5 5 6 6 7 7 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 6 9 13 15 19 24 27 25 18 11 6 5 5 5 5 5 5 4 3 3 5 7 9 8 6 4 3 4 5 6 6 7 7 7 6 6 5 5 5 4 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 12 12 12 10 8 7 8 8 8 7 6 5 5 5 6 7 6 6 6 7 7 6 6 6 8 10 12 12 9 7 6 6 7 7 7 7 6 6 5 6 5 5 5 5 5 5 6 6 6 6 7 7 8 7 6 6 6 5 4 4 5 5 5 6 6 6 6 5 4 3 3 4 5 5 6 6 6 6 6 6 6 8 11 15 15 10 6 4 5 6 6 6 5 6 7 9 8 1 1 6 6 5 4 4 6 10 12 5 -2 10 24 21 10 8 13 15 15 17 18 13 10 8 8 9 12 17 22 22 16 9 8 9 8 8 8 10 12 14 15 15 10 9 6 3 0 -1 5 9 9 10 10 9 8 6 8 9 7 10 16 16 10 7 10 11 8 9 8 4 3 10 16 12 12 11 3 -1 -1 1 3 5 5 6 6 5 9 11 13 15 13 8 8 1 1 12 20 12 -1 -2 8 11 11 9 8 9 7 1 -1 4 15 18 14 9 8 8 7 5 3 3 7 9 8 6 5 5 6 6 7 8 7 4 1 1 3 4 4 5 6 9 13 17 24 22 12 7 6 5 4 4 5 5 4 5 7 7 6 5 4 4 4 5 5 4 6 8 8 8 7 6 5 5 5 4 2 1 1 2 2 3 4 6 6 6 6 6 6 5 4 5 5 4 4 4 4 5 6 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 5 5 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 5 7 11 15 16 11 7 6 5 6 6 5 5 6 6 6 8 8 6 4 4 3 2 -1 1 5 7 7 7 7 7 7 8 9 8 8 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 9 10 11 12 12 12 11 10 9 7 6 5 5 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 9 12 17 23 29 29 23 15 10 7 5 4 4 4 4 3 4 4 6 8 8 6 4 4 4 5 6 6 6 7 7 6 7 8 8 6 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 9 11 13 14 13 12 10 9 9 8 8 7 6 6 5 5 6 5 5 7 8 8 7 6 6 7 8 10 10 8 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 6 6 6 7 7 7 6 7 7 7 6 5 5 5 5 6 6 6 6 5 5 5 4 3 4 4 5 5 5 5 5 4 5 7 8 11 14 14 10 6 5 5 6 6 6 5 6 7 9 10 11 12 10 7 4 3 5 8 11 10 1 -3 12 31 34 24 16 15 11 9 9 5 -0 -3 -2 2 6 13 19 20 17 9 5 7 9 8 7 9 10 8 10 13 15 13 10 7 4 4 2 4 8 10 9 9 11 9 7 10 10 6 6 7 7 9 8 11 12 10 16 10 5 4 10 14 13 14 15 7 -1 -5 -2 5 7 9 11 9 7 8 9 10 15 15 10 6 1 6 10 14 9 -3 -2 8 13 16 13 7 8 5 0 2 9 16 17 13 10 9 9 7 5 3 4 8 11 12 10 6 5 5 6 7 9 9 7 6 5 4 3 3 4 5 6 8 13 22 21 13 13 14 8 4 4 4 4 4 5 6 7 6 4 3 3 4 5 5 5 7 9 9 8 7 7 5 4 5 4 2 2 2 2 3 4 4 6 7 7 7 7 8 7 5 5 5 4 4 4 4 5 6 5 6 5 4 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 6 5 6 10 15 17 13 9 9 6 6 7 5 6 7 6 6 7 7 5 4 4 4 1 -7 -2 6 7 8 7 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 10 11 12 12 13 12 10 8 7 7 7 7 7 7 7 7 7 6 6 6 5 6 6 7 7 7 8 8 8 7 7 8 8 8 8 9 9 8 9 11 13 16 26 35 35 29 21 13 8 6 4 4 4 4 4 4 5 7 6 5 5 4 4 5 6 7 7 6 6 6 7 7 8 7 5 5 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 4 4 5 5 7 10 11 13 14 14 13 11 10 8 7 6 6 7 7 7 7 7 6 7 7 7 7 9 9 9 8 7 7 6 5 5 5 7 8 8 7 6 5 5 5 7 7 7 7 6 6 6 5 5 6 6 7 9 11 11 9 7 5 5 6 7 7 6 6 5 5 4 4 4 4 4 4 3 3 3 5 5 5 5 5 5 5 5 5 6 6 5 4 5 5 6 7 9 13 18 19 14 9 5 5 6 9 14 10 4 1 11 20 15 5 -6 -18 -15 -11 -12 -7 0 2 3 8 17 18 11 7 6 4 4 5 4 3 3 6 7 6 9 12 11 10 9 6 5 9 8 4 7 8 8 8 6 6 14 14 9 7 5 1 5 11 10 5 7 7 -3 0 12 19 13 7 7 11 9 5 3 5 7 7 8 7 5 4 6 8 10 14 16 14 13 11 7 6 8 13 12 4 4 5 6 6 6 6 3 4 11 14 12 10 12 13 10 7 8 11 11 9 9 10 10 10 9 9 8 8 8 9 10 12 14 13 9 5 4 4 3 4 4 5 7 9 15 21 18 13 9 9 11 11 9 7 6 6 5 4 4 5 6 5 3 2 2 5 9 9 8 7 6 5 5 5 4 3 3 3 3 4 5 5 6 8 8 7 7 7 7 5 5 4 3 3 3 4 5 6 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 3 4 5 6 6 6 7 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 5 5 6 6 6 8 13 17 16 11 7 6 5 5 6 7 7 7 6 5 4 5 5 5 6 7 5 2 5 7 7 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 7 8 8 8 8 8 8 9 11 14 15 15 15 15 15 14 13 12 11 10 10 10 10 9 8 7 6 6 5 5 6 7 8 8 7 8 8 9 9 9 9 9 10 10 10 10 10 10 11 12 14 17 21 27 34 35 27 17 10 8 8 7 6 5 5 5 5 5 4 4 4 5 7 8 7 6 5 5 5 5 5 5 5 5 5 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 11 7 5 7 6 1 6 10 17 17 15 15 17 16 11 4 5 15 15 14 13 13 10 12 19 16 8 3 5 11 19 22 16 6 3 10 17 19 14 7 7 8 8 9 14 20 21 17 11 7 12 13 10 7 7 8 10 12 13 12 12 12 10 8 9 9 10 11 13 17 18 16 15 14 14 14 13 15 17 17 13 9 6 6 9 13 14 12 10 10 12 13 13 13 12 10 11 11 9 9 10 10 9 10 11 12 12 11 10 11 12 12 13 13 13 12 12 12 13 13 12 13 13 13 15 15 13 12 11 11 11 11 12 13 11 12 13 14 15 14 13 13 12 10 9 1 -4 1 11 18 17 10 13 23 22 18 17 15 13 12 12 12 13 14 14 13 13 13 13 13 14 13 13 13 14 15 15 15 14 13 12 13 13 13 12 13 13 13 14 14 14 14 13 12 12 13 13 13 14 14 15 17 18 19 19 18 16 15 15 16 15 14 13 12 12 12 13 15 18 20 21 20 19 18 18 19 19 19 19 18 18 18 18 18 19 20 21 21 21 20 20 21 21 20 18 17 16 16 17 18 16 14 14 15 15 15 16 15 15 14 14 14 13 12 12 14 15 15 16 16 15 14 14 14 13 11 11 11 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 12 12 13 14 14 15 15 14 13 13 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 11 11 12 12 12 11 11 11 10 11 11 11 12 11 11 12 12 14 15 15 14 13 12 15 17 17 18 17 17 17 16 16 15 14 12 10 10 11 11 13 14 15 16 17 18 19 18 17 17 15 13 12 11 10 11 11 10 10 11 12 13 13 11 8 4 1 -0 1 6 14 18 18 15 13 12 12 12 13 13 13 14 14 14 14 13 13 12 11 10 11 13 14 13 14 13 13 14 13 13 14 14 15 15 14 14 13 13 14 15 15 16 17 17 16 16 15 13 12 13 13 14 14 14 13 14 14 15 15 15 15 14 13 13 14 14 13 12 11 14 15 nan
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nan nan nan nan nan nan nan 12 18 15 12 7 8 11 13 12 7 4 8 14 16 18 16 12 7 9 10 16 18 18 17 18 14 5 2 5 11 15 15 13 9 10 15 15 14 13 12 11 12 14 14 15 18 18 17 18 19 17 15 12 15 17 15 14 14 13 13 13 14 15 16 18 14 10 9 10 10 9 10 11 12 14 14 12 11 9 10 11 11 11 10 10 10 11 11 13 12 10 9 9 10 10 8 7 8 10 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 14 14 13 12 11 10 10 10 10 10 12 14 13 13 12 11 12 13 15 13 11 10 11 12 16 18 17 13 12 14 16 17 17 16 15 14 15 14 12 11 11 12 13 13 13 13 13 13 14 14 14 14 14 14 14 13 12 12 12 12 12 11 12 13 15 15 14 14 12 11 11 11 12 13 15 16 17 18 19 19 19 19 18 17 17 18 18 17 16 16 17 19 21 24 26 26 24 21 18 17 16 16 15 15 15 16 18 17 17 16 16 15 16 18 19 19 18 17 17 17 17 16 15 13 12 14 15 15 14 15 16 17 20 21 20 17 15 13 13 13 13 13 13 13 13 12 13 14 14 13 13 13 13 13 13 13 13 12 11 11 11 10 11 11 11 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 12 12 12 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 10 11 11 11 11 11 12 11 11 11 10 10 10 11 11 12 12 12 12 11 10 9 10 10 10 11 12 12 11 11 11 12 13 13 14 13 12 14 16 16 14 13 15 16 16 16 14 10 7 7 9 10 12 13 13 14 14 14 14 15 15 17 18 19 20 23 21 18 16 16 13 12 11 11 11 12 12 11 10 12 16 22 27 25 20 17 15 13 12 12 12 11 11 12 13 12 12 12 13 13 13 13 12 11 12 13 14 14 15 14 14 14 14 13 14 14 14 14 15 16 19 19 18 15 11 11 14 16 16 16 15 13 14 14 14 13 14 14 14 14 14 15 16 16 16 15 14 12 12 13 12 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 9 6 6 13 18 19 18 16 12 12 5 7 17 17 15 15 16 13 9 8 9 10 13 14 12 9 7 7 10 11 10 9 9 11 13 16 19 18 16 15 16 17 18 16 13 13 15 13 13 12 11 11 11 12 13 15 17 14 11 10 10 9 8 7 9 10 11 13 13 12 10 9 9 10 11 12 13 13 13 13 13 12 10 9 9 10 10 8 7 9 10 11 12 12 11 10 11 11 11 11 11 11 11 12 12 12 12 13 13 14 14 13 11 11 10 9 10 10 12 12 13 13 12 12 12 12 13 14 12 11 12 13 14 14 15 14 13 12 12 13 14 15 15 15 14 14 13 12 11 11 12 12 13 13 12 14 14 14 14 14 13 13 13 14 13 13 13 12 12 12 11 11 13 15 15 14 12 11 7 4 7 15 20 16 16 18 20 22 23 23 22 22 22 22 23 23 23 24 26 29 30 30 29 26 23 20 17 16 16 16 15 15 15 14 15 16 17 17 16 15 14 14 15 16 18 17 16 14 14 15 17 18 17 16 15 15 16 16 16 16 16 19 20 20 18 15 14 14 14 14 14 13 13 13 12 13 13 13 13 13 14 14 14 14 14 13 13 11 11 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 12 11 11 11 11 10 11 11 10 10 11 12 13 14 13 12 10 10 9 10 11 10 10 10 10 11 11 12 11 11 11 11 11 11 10 11 10 10 10 11 11 11 12 12 11 11 10 10 10 10 11 12 13 13 13 13 12 12 11 9 9 10 11 11 12 12 11 11 12 12 12 13 14 13 13 14 15 15 13 13 17 17 13 10 6 3 2 7 11 12 12 12 12 13 14 14 14 14 14 14 16 18 20 23 23 20 17 15 13 11 10 10 11 12 12 12 14 16 18 20 20 18 15 14 13 13 12 12 12 12 13 13 13 13 13 12 13 14 13 12 11 12 12 13 14 14 14 14 13 14 15 15 14 14 13 13 14 15 19 22 20 14 10 11 13 15 14 14 13 14 14 14 14 13 13 14 14 15 15 15 16 16 16 14 13 13 13 13 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 7 2 2 11 18 19 14 12 11 17 17 12 10 9 11 13 12 11 10 9 9 10 11 11 11 12 14 15 15 14 12 10 11 14 16 13 10 12 14 13 12 11 11 10 10 11 11 13 14 12 10 9 9 10 9 8 9 9 10 11 12 12 12 9 9 10 13 15 16 16 14 15 15 14 13 12 11 9 9 8 8 9 10 11 12 12 11 11 11 10 10 10 12 12 11 11 12 12 13 13 13 13 13 13 12 10 10 9 10 11 12 13 13 13 12 13 13 12 12 14 13 13 12 12 14 16 16 14 13 14 12 12 13 14 14 14 13 13 13 13 13 12 12 11 11 12 13 14 15 14 14 13 13 13 13 13 13 12 13 13 12 12 11 12 13 14 14 13 12 10 6 2 3 12 21 23 23 23 23 25 27 28 28 28 28 29 30 30 31 32 32 31 30 27 24 21 19 17 16 16 16 15 15 16 15 14 13 13 14 15 15 14 13 12 12 14 16 16 15 14 14 13 14 18 20 17 15 16 15 15 14 11 8 7 9 12 16 17 17 16 15 15 14 14 14 13 13 13 13 13 14 14 15 15 15 14 14 13 13 12 12 13 13 12 13 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 13 13 12 11 9 9 9 10 10 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 9 10 11 11 12 13 12 10 9 9 10 10 11 12 12 13 13 14 13 13 13 11 9 8 9 10 11 12 12 12 12 12 12 12 13 13 13 13 14 14 15 16 16 16 12 7 4 4 5 8 11 13 13 12 12 11 12 14 15 14 13 14 14 15 17 21 25 23 17 14 12 11 11 11 12 12 13 13 13 14 14 14 15 14 14 14 14 14 13 13 13 13 12 12 13 14 13 13 13 13 13 13 12 11 11 13 15 15 15 14 13 13 14 15 16 15 14 14 13 14 15 18 21 18 12 9 11 13 15 14 13 13 13 13 13 13 13 14 14 14 14 15 15 15 16 15 14 12 13 12 13 13 13 14 14 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 18 10 7 13 13 12 9 10 9 10 9 11 12 13 11 10 11 12 13 12 13 13 12 12 10 9 11 13 14 11 9 10 12 13 13 13 12 12 10 11 12 11 10 9 9 10 11 11 11 10 11 10 9 10 11 12 13 10 9 9 13 15 15 16 16 17 16 16 15 14 11 8 8 8 9 10 10 11 12 11 11 11 10 10 10 11 12 12 12 13 13 13 13 13 14 14 14 13 11 10 10 11 12 13 13 12 13 12 12 14 14 12 13 14 13 14 13 14 15 15 13 14 14 14 13 13 13 12 13 13 13 14 14 13 13 12 12 12 11 12 13 13 14 15 14 13 13 13 13 13 13 13 13 13 12 12 12 13 13 12 12 12 12 12 11 9 7 9 13 19 25 33 35 32 31 30 31 32 31 31 31 31 30 29 26 22 19 16 16 16 16 16 16 16 17 17 17 16 16 16 15 13 13 14 14 14 14 13 12 13 14 15 16 16 15 12 11 15 18 17 15 14 13 12 13 12 9 7 7 9 12 15 16 16 15 15 14 14 15 15 14 13 13 14 14 14 15 15 14 13 13 13 13 13 13 13 13 12 13 12 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 11 9 8 8 9 9 10 10 11 10 10 10 10 11 10 11 11 10 10 9 9 10 10 11 10 9 10 10 10 12 12 11 10 9 9 10 11 12 12 13 13 13 13 13 12 12 10 9 8 8 10 11 12 12 12 12 12 12 13 14 13 13 14 15 17 18 17 16 14 10 8 8 10 13 14 14 13 13 12 12 13 14 14 14 14 14 14 14 16 18 21 23 20 16 13 11 12 12 11 12 12 13 12 12 12 12 12 13 14 14 13 13 14 14 13 13 12 11 12 13 14 14 14 14 13 13 13 11 10 12 15 16 15 15 13 13 13 13 14 15 16 16 15 16 15 13 15 21 19 13 11 10 11 11 13 14 14 13 13 13 14 14 14 14 14 13 14 14 15 15 15 13 13 12 12 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 8 12 14 14 13 12 11 11 10 10 10 10 12 12 12 12 12 14 15 15 12 8 9 11 12 12 11 11 12 11 10 10 9 8 7 7 8 11 12 11 10 11 11 9 8 9 10 12 13 12 10 10 12 13 15 15 16 15 14 14 15 13 10 8 6 7 8 10 11 11 11 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 14 14 13 13 12 11 11 12 14 15 14 14 13 13 13 13 13 14 14 14 13 12 12 13 14 14 14 15 15 14 13 12 11 11 12 13 14 14 13 13 13 13 13 13 12 12 13 13 13 14 14 13 13 14 13 13 13 13 13 12 12 12 13 14 13 13 13 13 13 14 15 14 10 7 5 7 16 38 48 36 29 26 25 24 24 23 22 21 20 20 18 16 14 12 12 13 15 15 14 15 18 23 25 21 18 18 17 15 14 14 14 12 13 13 12 12 12 12 14 15 15 14 13 14 16 15 15 15 15 14 14 14 14 12 10 9 9 10 12 14 15 15 15 15 15 15 15 14 13 14 13 14 13 13 13 13 13 13 13 14 14 14 14 13 12 11 11 12 11 11 12 12 11 12 11 11 12 12 12 12 12 14 15 15 16 14 12 10 9 8 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 10 11 12 12 13 13 13 13 13 12 11 11 10 9 9 9 10 11 11 12 13 13 13 13 14 14 13 13 15 18 19 17 15 13 12 12 10 11 13 14 14 13 13 13 13 13 13 14 14 14 14 14 14 14 17 19 23 22 19 15 12 12 11 11 11 12 12 11 10 11 10 11 12 13 14 14 13 12 13 13 13 12 11 11 13 13 13 14 15 16 15 15 13 11 10 13 15 16 15 13 12 13 13 13 14 14 15 15 16 16 17 16 16 18 19 15 13 11 10 11 12 14 14 12 11 13 14 14 13 14 14 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 11 12 11 10 10 11 14 16 17 15 11 8 9 10 11 11 11 12 12 12 12 12 11 9 7 7 8 10 12 13 12 12 11 9 9 10 11 13 13 12 10 11 13 13 13 13 13 13 13 13 14 13 11 9 6 6 8 10 11 12 12 11 11 10 10 11 12 12 12 12 13 13 13 13 14 14 14 14 14 12 11 11 12 13 14 14 15 15 14 13 13 12 13 14 14 13 12 12 12 12 13 14 14 14 14 13 12 11 12 14 13 13 14 13 14 14 14 13 13 13 12 12 13 13 12 14 14 14 13 14 14 13 13 13 13 13 12 13 14 14 14 14 14 13 14 15 14 13 13 10 4 -2 -0 30 51 41 32 23 18 15 14 14 14 14 14 15 15 15 15 14 13 12 13 13 11 9 11 21 30 28 21 22 18 16 15 15 14 12 12 13 13 12 11 11 12 13 14 14 15 14 14 14 14 14 14 14 13 12 12 10 10 9 9 9 10 12 14 15 15 14 14 14 14 14 14 14 14 13 12 13 13 13 14 14 13 14 14 14 14 13 12 11 12 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 16 14 12 10 9 8 9 10 10 11 10 10 11 10 11 11 10 10 11 11 10 10 10 10 9 10 10 10 11 11 12 12 10 9 9 9 9 9 10 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 9 11 13 13 13 14 14 15 15 14 13 14 16 18 16 12 10 10 11 11 11 12 13 14 14 13 13 13 14 14 13 13 14 14 14 14 14 14 17 21 23 22 20 15 11 11 11 11 11 11 10 10 10 10 11 11 13 14 14 13 12 12 11 11 11 11 12 13 14 14 14 15 15 14 14 14 14 13 13 14 14 14 13 11 12 13 14 13 13 14 15 15 14 14 14 15 17 18 19 16 14 13 12 11 12 14 14 13 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 11 14 15 15 14 12 14 14 12 10 10 10 12 16 20 22 24 25 26 27 27 26 25 24 22 21 21 20 20 18 18 18 19 19 18 17 18 18 16 14 14 14 14 12 9 7 6 7 8 10 11 11 10 8 7 6 5 5 5 5 5 6 6 6 5 4 2 2 1 2 2 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 2 1 1 1 3 4 5 7 7 8 8 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 2 3 7 14 12 5 2 2 1 1 0 0 3 4 0 0 0 0 0 3 2 3 5 3 8 15 8 2 0 0 0 0 0 0 0 0 0 0 2 5 6 3 1 2 7 28 49 48 41 40 37 31 26 25 30 37 51 74 94 109 116 114 111 111 112 113 110 103 95 87 84 83 74 54 32 10 1 0 0 1 4 3 1 0 0 0 0 0 0 0 6 7 0 0 1 6 12 21 35 54 72 93 114 128 126 124 125 126 128 122 108 89 86 91 80 73 98 128 136 133 134 137 132 111 81 64 59 55 49 47 54 66 77 93 116 137 150 162 157 148 149 152 150 145 136 123 116 118 120 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 nan nan 7 11 14 15 14 12 12 12 11 9 7 6 6 9 13 17 19 20 21 22 24 24 23 21 19 17 17 17 16 15 15 15 16 16 16 15 15 15 15 13 12 12 11 9 7 6 6 6 7 10 11 11 11 11 10 8 7 6 6 6 6 6 7 6 5 3 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 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 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 1 2 2 5 12 10 7 5 5 5 3 2 4 4 4 1 0 0 0 5 7 9 12 10 13 16 9 2 0 0 0 0 0 0 0 0 0 0 3 6 6 4 1 1 9 28 43 43 40 39 37 32 21 10 9 12 21 43 65 86 99 103 104 104 107 111 111 105 97 88 85 88 92 82 68 47 17 2 1 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 1 3 5 14 32 59 84 122 135 128 127 128 130 131 129 121 118 119 119 133 168 190 180 162 154 153 149 127 101 88 85 80 77 79 84 86 94 113 139 158 164 171 155 142 142 144 146 146 140 129 121 118 118 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 nan
nan nan nan nan nan nan nan 6 6 7 8 11 13 12 12 12 12 9 7 4 3 4 7 12 17 19 19 20 23 27 27 24 21 19 19 18 16 15 14 15 15 15 15 14 13 12 12 12 12 11 10 8 6 6 6 6 6 7 8 9 10 10 10 10 8 7 6 6 6 6 7 6 5 3 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 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 0 0 0 0 0 1 2 3 8 12 14 13 10 11 12 11 10 7 5 6 6 6 3 1 2 6 11 13 14 17 19 10 2 0 0 0 0 0 0 0 0 0 0 5 12 12 7 0 0 7 25 40 39 37 33 26 20 9 1 0 1 2 12 26 51 74 87 92 94 96 97 100 102 100 95 87 86 90 88 81 73 60 37 17 8 3 0 0 0 0 0 0 3 9 12 5 1 0 3 2 0 0 0 1 2 12 45 79 115 138 134 128 128 129 130 129 127 125 124 129 151 179 195 190 174 166 169 170 149 122 111 110 108 104 104 105 104 107 117 132 146 160 168 159 146 140 140 142 143 143 138 128 121 117 115 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 5 6 6 6 8 10 11 12 13 12 10 7 4 3 3 5 10 16 19 21 22 26 30 31 29 26 25 25 23 21 19 18 18 17 16 15 13 12 10 10 11 12 12 10 8 6 6 6 6 6 6 6 6 7 8 8 8 8 6 6 6 6 6 6 6 6 4 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 11 14 15 15 16 18 19 18 15 12 14 18 18 15 7 5 8 13 16 18 20 20 12 3 0 0 0 0 0 0 0 0 0 3 16 29 25 14 3 0 5 23 36 30 22 16 9 4 1 0 0 0 0 0 4 14 34 58 74 78 79 79 81 84 88 92 89 85 84 79 73 70 66 62 50 36 23 13 9 9 8 3 1 9 22 23 9 0 0 2 5 5 0 0 4 21 55 91 120 139 148 142 131 126 127 127 126 125 123 124 126 140 161 178 176 164 163 178 188 171 143 126 124 125 120 115 113 109 106 105 111 122 140 156 157 147 137 133 132 134 138 137 129 119 115 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 6 6 6 8 9 11 13 13 12 9 6 5 5 8 11 15 19 21 23 25 29 32 32 31 30 29 27 25 22 22 20 18 16 14 12 11 10 10 11 12 12 12 10 8 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 4 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 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 0 0 0 0 0 0 0 0 2 4 6 8 12 15 17 19 21 21 20 19 19 21 22 21 19 18 18 20 22 24 25 21 10 1 0 0 0 0 0 0 0 0 0 1 12 35 33 21 6 0 4 20 32 19 7 2 0 0 0 0 0 0 0 0 0 1 4 21 43 56 60 62 64 65 66 70 73 72 68 63 51 44 49 54 53 53 47 37 32 31 25 12 4 8 21 29 16 1 0 2 14 39 37 10 6 38 100 138 153 152 150 147 138 131 127 125 122 124 122 121 124 135 153 167 164 158 164 182 194 185 158 132 123 126 124 116 106 99 94 93 98 109 126 143 150 146 134 123 118 118 122 125 119 112 109 106 nan nan nan nan nan nan nan nan nan nan 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 2 4 7 7 6 7 8 9 11 13 12 12 11 11 11 13 15 17 19 20 22 26 30 31 31 30 29 26 24 21 19 17 15 13 11 11 10 10 10 10 10 11 11 10 8 6 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 6 4 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 13 17 20 21 20 20 20 20 21 21 21 20 21 23 25 26 28 27 19 7 0 0 0 0 0 0 0 0 0 0 1 11 30 32 19 9 1 6 20 28 10 1 0 0 0 0 0 0 0 0 0 0 0 0 1 9 24 36 41 47 50 48 47 47 45 41 31 16 11 13 20 30 39 45 47 47 47 40 27 16 11 15 27 29 21 20 16 31 88 101 64 36 66 125 154 156 148 144 144 141 137 134 129 124 123 123 125 132 145 160 170 169 164 171 186 192 182 157 132 124 124 123 114 99 88 84 85 88 95 109 127 142 145 135 119 108 103 101 99 92 90 91 89 nan nan nan nan nan nan nan nan nan 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 6 2 2 6 7 6 6 7 8 10 12 13 14 14 14 14 15 17 17 18 18 19 22 26 28 29 29 26 24 20 17 14 12 11 10 10 10 9 9 8 8 8 8 8 7 6 5 4 2 2 2 1 1 2 3 4 4 5 5 4 4 5 6 6 4 4 3 1 2 2 2 2 2 2 2 1 1 2 2 0 0 0 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 5 10 16 20 20 20 20 21 21 22 22 20 19 22 26 27 27 26 24 18 7 0 0 0 0 0 0 0 0 0 0 1 6 20 28 20 12 4 15 26 26 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 18 24 29 35 38 34 28 23 15 6 1 0 1 1 6 12 21 32 44 53 53 45 34 27 20 18 34 48 66 60 69 122 142 137 123 136 151 155 152 141 133 128 126 125 128 134 134 128 124 130 142 157 170 176 174 172 178 186 183 168 149 140 139 136 129 118 102 89 85 85 81 78 87 106 131 142 136 120 107 97 91 80 64 58 58 61 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 17 12 6 2 5 6 5 5 6 8 8 9 11 12 13 13 14 15 16 17 18 18 18 20 22 23 24 25 23 21 19 16 14 12 10 10 9 9 8 7 6 5 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 5 11 18 20 21 23 23 24 25 24 21 21 26 29 27 23 21 20 16 8 0 0 0 0 0 0 0 0 0 0 0 1 4 20 21 14 15 25 31 22 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 18 20 21 23 27 29 27 19 8 1 0 0 0 0 0 0 3 12 25 43 50 48 42 41 35 17 18 38 73 85 108 124 145 160 162 155 148 149 149 143 133 121 110 101 104 116 127 131 132 135 148 165 174 176 175 175 180 184 180 167 156 157 158 152 141 126 113 104 100 98 89 77 76 90 113 129 129 121 111 103 95 83 63 45 39 42 43 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 10 13 12 6 4 7 5 3 5 8 8 8 8 9 10 11 11 12 12 14 16 18 18 17 17 18 18 19 19 18 17 16 16 15 13 12 11 10 8 5 3 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 1 5 13 20 23 26 28 28 28 26 23 25 30 32 26 18 14 11 9 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 23 30 34 35 20 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 17 20 19 18 20 24 26 23 15 5 0 0 0 0 0 0 0 3 8 24 32 43 45 46 49 39 21 21 47 70 82 104 133 156 164 159 155 153 151 149 143 134 120 103 93 97 106 120 131 139 152 166 170 166 162 163 172 181 184 182 172 169 166 160 147 133 124 121 121 118 108 93 83 84 97 114 122 122 118 112 106 95 76 52 40 43 49 nan nan nan nan nan nan nan nan 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 9 13 12 8 9 7 3 3 6 8 8 8 8 9 9 9 8 8 10 12 15 17 16 15 16 16 16 16 15 15 15 16 16 16 15 14 12 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 1 1 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 2 9 20 24 29 32 35 33 29 27 29 33 32 22 15 10 9 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 35 41 39 25 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 14 17 17 17 20 23 25 23 16 6 1 0 0 0 0 0 0 4 17 25 46 55 58 69 68 46 26 41 70 82 94 122 152 162 159 158 157 155 154 150 146 141 126 110 107 110 117 128 141 155 166 160 148 140 145 158 172 182 186 182 173 166 160 153 146 142 141 139 133 124 112 97 89 93 106 117 123 126 126 122 108 85 60 49 57 64 nan nan nan nan nan nan nan 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 4 9 12 14 14 12 8 6 7 8 9 9 8 9 9 9 8 8 8 8 9 12 13 14 14 14 15 16 15 14 14 15 16 16 16 15 14 11 8 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 1 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 0 1 6 18 24 29 33 38 38 35 34 33 32 26 20 16 10 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 30 42 42 31 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 7 8 12 13 18 22 23 18 13 11 7 3 1 2 8 16 28 44 60 65 68 81 84 68 55 62 79 86 91 112 142 156 154 154 157 158 158 157 153 148 138 130 126 128 137 143 151 162 167 158 139 126 129 140 153 167 176 178 174 168 163 158 155 154 150 144 135 125 116 109 105 106 113 120 127 134 139 136 116 91 70 66 74 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 2 2 3 5 8 13 17 18 16 14 15 14 12 11 10 8 9 9 9 9 8 7 5 7 9 11 11 11 13 16 17 16 15 16 16 17 17 17 16 14 12 8 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 1 7 17 22 27 30 32 32 29 30 27 22 18 15 14 11 9 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 29 37 34 22 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 5 11 14 18 26 32 30 20 7 4 14 27 44 61 70 70 68 75 84 80 72 79 94 96 94 104 130 153 153 149 150 156 160 163 162 154 142 138 135 133 144 160 169 175 172 163 144 124 118 121 130 140 151 161 165 166 163 159 155 151 147 139 129 120 116 118 123 128 132 132 134 133 141 136 116 98 90 91 94 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 3 5 4 4 7 13 19 21 22 22 20 18 16 13 9 7 8 9 9 9 8 5 2 4 7 8 7 8 14 19 20 20 20 19 18 17 17 17 16 15 13 9 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 1 4 6 6 5 3 2 1 1 10 17 21 25 28 28 24 18 12 10 9 8 8 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 17 20 16 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 11 26 44 53 45 28 15 16 26 44 64 73 72 66 68 79 88 90 100 112 108 100 102 122 148 156 148 144 148 155 162 165 158 146 140 136 131 134 150 172 186 183 168 151 134 120 113 114 120 125 133 147 156 158 155 152 148 142 135 126 122 123 130 137 139 135 128 122 117 128 130 118 107 106 110 113 110 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 6 8 5 2 2 7 14 19 21 22 21 20 20 16 10 6 5 6 8 10 11 8 3 2 4 6 5 4 9 19 24 24 23 21 19 17 17 18 18 17 16 14 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 6 7 7 7 6 4 2 2 2 11 17 22 24 28 28 22 12 4 2 2 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 2 6 11 22 39 56 64 60 44 29 24 30 44 58 65 66 66 75 89 99 113 120 115 109 107 117 130 141 143 142 144 149 158 162 158 149 142 138 134 133 139 158 183 192 178 159 148 134 121 116 119 117 114 127 142 147 147 147 145 142 137 131 130 134 141 143 133 115 103 98 102 114 121 117 111 110 113 116 118 111 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 6 11 12 8 2 0 3 8 14 17 19 18 17 20 20 13 6 3 3 5 9 12 11 6 2 2 4 4 3 7 16 24 23 22 22 21 20 17 17 17 18 17 17 15 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 1 1 1 3 8 11 12 14 13 9 5 6 6 6 6 7 7 5 3 2 2 8 16 22 25 28 31 25 16 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 9 21 35 50 64 74 72 53 34 20 16 28 52 65 70 74 85 94 105 112 110 112 117 123 123 128 132 135 140 145 153 159 158 150 142 140 138 137 135 143 166 187 188 171 162 154 138 129 129 124 119 122 130 134 135 137 140 143 144 142 141 143 148 142 118 93 78 69 75 88 98 98 94 94 98 111 121 115 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 2 7 15 16 10 3 0 1 4 9 14 16 16 16 17 21 20 10 3 1 1 5 12 14 9 4 3 5 5 4 7 16 23 23 22 22 23 23 20 18 17 18 18 17 16 14 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 2 3 4 2 2 3 4 4 3 4 4 2 2 2 2 2 4 11 18 20 19 14 9 7 7 7 7 7 7 7 6 4 3 2 5 13 20 24 28 31 30 23 13 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 5 15 25 38 47 62 74 72 56 28 2 1 24 57 70 76 82 85 87 91 93 100 112 127 135 133 131 133 138 144 148 154 156 149 141 140 140 137 131 130 144 166 180 176 170 161 148 139 132 126 127 125 125 124 120 123 132 144 153 154 151 152 152 138 105 78 67 60 54 53 62 74 86 90 102 119 124 119 nan nan nan nan nan 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 4 13 16 13 6 3 2 3 4 6 9 11 12 13 18 22 17 8 2 0 2 11 15 11 6 4 6 8 7 8 15 22 23 21 21 23 25 25 20 18 18 18 17 16 14 12 8 5 2 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 6 6 5 4 5 6 5 3 3 4 4 3 2 2 1 1 1 4 9 13 12 9 7 7 7 8 8 8 8 7 6 5 4 3 3 6 14 20 24 28 28 25 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 8 11 16 22 33 49 65 69 50 16 2 8 34 62 78 84 84 80 77 77 82 95 116 136 145 142 142 147 148 146 149 150 144 141 142 141 136 127 119 125 143 157 165 166 160 149 139 126 118 122 124 123 120 117 119 128 143 156 159 155 155 156 144 106 74 66 63 62 57 58 71 89 103 114 124 126 122 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 0 1 6 10 13 11 6 4 3 2 3 4 4 5 6 12 20 22 16 7 2 2 9 15 11 6 3 5 9 8 6 12 18 20 19 18 19 22 24 21 18 17 16 16 15 14 12 8 5 4 3 1 1 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 2 1 1 1 1 2 2 2 1 0 0 0 1 2 2 2 3 5 7 9 9 8 8 7 6 5 4 4 3 4 6 11 15 17 16 17 15 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 2 4 5 4 6 6 2 0 3 9 18 37 57 56 31 6 1 10 44 75 89 90 84 79 77 76 82 100 126 144 152 151 157 156 151 149 149 144 145 147 145 139 130 118 116 127 139 151 158 159 154 145 133 123 118 117 116 115 116 121 130 140 152 154 152 152 159 158 126 94 85 91 96 96 94 95 98 102 108 116 121 123 124 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 0 1 4 9 11 9 6 4 2 2 1 1 1 1 5 14 21 20 14 5 2 9 15 12 6 2 2 4 5 4 6 12 15 15 14 15 16 17 17 16 15 14 13 13 11 10 7 5 5 4 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 1 4 8 9 9 9 9 7 6 6 5 4 3 3 5 7 8 6 4 6 6 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 1 1 0 2 3 4 9 10 9 8 8 8 9 7 2 0 0 0 1 14 33 44 32 10 0 1 25 61 85 94 92 91 90 84 81 89 111 134 151 155 159 157 152 149 146 147 151 152 149 144 136 126 122 124 131 141 155 165 166 159 148 140 130 122 113 110 114 120 129 134 141 144 145 146 151 156 147 129 117 120 127 131 132 129 118 103 99 106 115 123 130 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 1 3 5 6 6 5 4 4 4 3 1 0 1 7 15 18 17 9 4 10 15 14 8 3 0 0 1 1 3 6 8 9 9 9 8 9 10 10 10 10 9 8 8 6 5 5 5 5 4 3 1 0 0 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 3 6 8 8 8 9 9 8 7 6 6 4 3 3 4 6 6 5 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 6 10 12 11 9 9 9 8 8 8 7 6 4 2 1 0 4 13 22 17 5 0 0 10 37 66 85 92 97 103 98 88 83 98 122 147 159 158 151 148 146 144 145 150 152 150 143 136 132 134 134 132 135 151 175 185 176 159 152 150 144 129 118 118 119 123 128 132 135 139 142 143 147 149 145 137 132 132 138 146 149 141 127 117 119 126 133 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 1 1 0 0 1 0 0 2 4 5 6 8 11 11 6 1 1 4 9 11 13 9 5 8 16 16 12 7 2 0 0 0 2 3 4 5 4 3 1 1 3 4 5 5 4 4 4 4 4 4 4 5 5 4 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 1 0 0 0 0 0 0 0 0 0 2 6 7 8 8 7 7 8 8 7 6 6 6 4 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 0 0 0 0 2 7 11 13 12 12 12 9 7 7 7 7 7 6 6 6 6 5 2 0 1 2 5 3 0 1 0 2 12 37 71 82 94 111 113 101 83 85 106 137 157 159 151 146 144 144 144 148 149 146 140 133 135 144 146 141 135 142 170 197 196 168 147 146 151 144 134 128 124 123 126 129 130 135 140 139 139 142 142 136 130 125 129 139 149 149 147 145 148 154 157 153 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 8 9 8 4 1 0 0 2 4 5 9 17 20 14 7 4 5 6 4 4 5 4 6 13 15 14 11 6 2 0 0 1 1 2 2 2 0 0 0 0 1 1 1 1 2 2 1 2 2 3 4 4 4 3 2 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 1 4 6 7 7 7 7 7 8 8 7 7 7 6 5 4 4 4 5 6 5 4 2 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 18 16 12 9 9 7 7 6 7 7 7 7 7 6 5 4 4 3 2 1 0 0 3 10 5 0 1 11 48 69 82 102 115 113 98 86 92 118 141 152 150 144 141 145 150 153 151 146 140 136 139 148 151 147 138 138 161 197 209 181 152 143 146 145 139 134 130 128 130 132 131 134 139 141 142 145 144 134 127 122 124 131 138 139 141 146 154 160 162 159 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 22 23 25 24 16 6 1 0 0 1 2 2 6 19 24 19 13 12 12 7 2 0 1 2 4 7 9 10 9 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 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 1 3 4 3 2 3 4 5 5 6 7 7 7 7 7 8 8 8 8 7 6 6 6 6 5 5 5 5 5 6 5 4 3 4 4 4 4 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 21 18 13 10 10 11 10 8 8 8 8 8 7 6 6 5 5 6 6 3 0 1 16 34 25 6 0 2 27 59 74 83 100 113 112 98 89 98 121 141 148 142 142 148 155 161 158 151 146 141 142 146 149 149 144 143 158 190 208 194 171 156 149 146 143 138 133 130 128 130 132 132 136 144 152 160 156 140 128 122 124 129 132 131 130 133 139 147 151 150 148 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 12 21 30 26 14 5 1 0 0 0 0 0 4 13 19 18 18 19 20 14 5 1 0 0 1 1 3 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 11 10 8 8 8 8 8 7 7 7 7 7 7 8 9 8 8 7 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 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 1 4 16 24 24 21 21 26 31 21 9 8 8 9 8 8 8 8 7 7 8 8 7 0 1 21 51 57 24 4 0 13 52 73 74 84 104 116 110 93 88 103 128 144 140 140 145 151 161 162 156 152 149 147 149 153 155 154 152 160 185 205 203 188 176 163 155 149 143 136 130 126 128 131 129 131 142 158 174 173 158 138 127 125 128 130 128 125 125 129 137 141 142 141 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 6 12 11 6 3 1 0 0 0 0 0 1 5 9 12 16 19 21 19 14 10 7 4 2 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 10 15 16 14 12 11 10 9 7 6 5 5 5 6 6 7 8 8 8 7 6 6 7 7 6 6 6 6 7 7 6 6 6 6 7 7 6 7 6 6 6 6 5 4 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 16 21 24 31 38 41 46 50 36 14 8 8 8 8 9 8 8 8 8 8 9 6 1 0 15 50 70 44 14 2 9 42 72 80 84 98 113 113 99 89 93 112 134 140 139 138 141 149 154 153 151 151 153 157 161 163 161 157 161 182 205 208 200 195 184 170 156 144 134 128 126 129 132 129 129 138 158 180 186 176 157 137 129 129 128 126 125 124 125 130 134 137 137 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 2 2 2 4 6 6 2 0 0 0 0 0 0 1 2 4 7 12 15 16 17 17 17 13 8 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 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 6 12 16 17 16 13 10 7 2 1 2 2 2 4 5 5 6 6 7 7 6 6 6 6 6 5 5 6 6 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 15 19 21 22 24 32 44 49 53 50 34 15 8 8 8 8 8 8 9 8 7 8 9 6 2 0 8 33 57 53 27 6 8 36 71 87 94 103 113 114 104 91 86 98 119 138 141 135 134 136 138 140 142 146 149 155 161 164 161 156 162 182 203 210 206 205 203 190 170 147 129 128 132 134 135 130 128 133 150 172 182 177 165 151 138 130 125 124 126 123 124 122 125 126 126 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 6 8 10 9 4 0 0 0 0 0 0 0 0 0 1 5 7 8 10 14 18 17 12 9 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 2 0 0 0 0 0 0 3 7 11 13 14 13 11 7 3 0 0 0 0 1 4 5 5 5 6 6 5 5 4 4 4 4 5 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 6 15 20 21 22 22 30 42 45 44 36 23 11 8 8 9 8 8 8 10 8 7 6 8 9 4 0 2 16 38 48 38 16 6 25 61 84 101 114 120 118 107 92 84 90 106 128 141 142 138 133 128 125 128 135 142 147 152 157 158 156 161 178 198 208 208 209 210 202 181 154 136 137 141 141 139 131 125 127 136 150 160 160 155 152 140 125 122 126 131 127 122 117 115 116 120 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 17 15 12 12 13 12 8 3 0 0 0 0 0 0 0 0 0 0 1 2 2 4 8 11 10 8 9 10 8 4 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 4 5 5 5 6 5 4 0 0 0 1 2 3 6 8 10 10 9 7 6 3 1 0 0 0 0 2 5 7 7 6 6 5 4 3 3 4 4 4 5 6 6 7 7 7 6 6 6 7 8 7 7 6 5 5 6 6 6 6 6 6 6 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 1 1 1 0 2 9 15 18 20 22 29 40 40 30 16 8 6 7 7 8 8 8 8 9 8 7 4 5 9 12 9 4 6 20 34 40 33 21 22 46 71 95 115 126 125 114 98 87 86 95 110 129 144 150 145 136 128 124 126 131 135 138 143 151 153 160 171 186 196 202 208 210 200 182 160 145 145 151 152 148 135 121 116 119 128 134 136 135 137 128 115 112 121 130 126 118 112 111 113 119 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 12 12 14 13 10 5 3 4 2 0 0 0 0 0 0 0 0 0 0 2 4 4 2 2 3 5 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 3 4 6 7 8 8 8 7 5 0 0 2 5 7 8 9 9 8 6 3 2 1 0 0 0 0 2 4 6 7 8 8 7 6 5 4 2 2 3 4 5 6 6 6 6 5 4 3 2 2 6 8 9 9 7 6 5 6 6 6 6 6 6 6 6 5 4 3 2 1 0 0 0 0 0 0 1 2 2 2 3 4 4 2 1 2 2 0 0 2 6 11 18 21 26 38 41 32 11 10 11 10 8 7 7 7 8 8 8 6 4 2 7 18 26 17 6 5 14 26 36 32 29 44 62 82 102 122 130 128 110 92 83 84 92 108 131 151 155 151 145 138 132 128 126 126 129 136 147 160 168 175 181 188 199 205 194 174 158 148 147 161 166 162 144 125 116 116 121 123 123 122 122 114 102 99 109 120 118 110 105 106 110 118 124 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 9 12 14 16 18 19 18 11 4 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 4 4 4 3 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 7 8 9 9 8 7 5 2 2 6 9 10 10 10 8 6 3 1 0 0 0 0 0 3 6 8 8 8 9 9 8 7 5 4 3 2 3 4 5 6 6 5 3 2 1 0 0 0 2 5 9 10 10 7 6 5 6 6 6 6 7 6 6 6 5 4 2 3 2 2 2 3 3 3 3 4 4 5 5 5 4 3 2 3 3 2 0 0 2 3 12 19 23 34 40 42 32 32 31 27 19 12 10 10 9 8 7 7 4 1 3 13 31 33 20 2 2 6 20 29 32 46 62 77 90 109 130 139 126 101 82 75 76 84 101 122 139 148 152 150 144 138 132 127 124 126 137 152 163 168 171 173 181 192 182 163 155 152 155 171 179 176 158 142 133 127 124 121 117 114 112 105 94 92 101 111 109 103 101 102 107 115 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
19 16 14 10 8 10 14 20 27 29 27 21 13 8 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 4 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 6 6 7 9 10 9 7 6 4 2 5 8 9 10 10 8 4 2 1 0 0 0 1 2 5 8 10 10 10 9 9 9 8 7 5 5 4 4 4 5 5 5 6 4 1 0 0 0 0 0 0 1 4 7 10 9 7 6 5 5 6 6 6 6 7 6 6 5 4 4 4 4 5 6 6 5 4 5 6 6 6 6 5 4 4 4 4 2 0 0 0 0 7 16 23 31 37 41 44 49 54 48 36 25 18 17 16 11 8 7 7 4 2 4 18 31 28 8 1 0 4 9 18 34 54 72 86 97 114 132 133 112 86 71 66 67 73 85 100 117 132 143 146 143 138 132 127 125 129 139 147 152 157 160 164 174 176 166 163 165 168 178 184 182 169 155 145 133 122 117 112 109 107 104 99 100 110 118 114 107 104 104 108 113 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
24 25 23 17 11 10 11 14 18 20 20 18 18 17 13 10 8 5 3 2 1 0 0 0 0 0 2 3 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 2 2 2 3 3 3 4 4 4 4 4 3 2 1 1 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 1 2 2 2 3 4 2 1 1 3 5 6 8 9 9 8 6 5 4 4 7 9 9 9 8 6 1 0 0 0 0 1 4 6 8 10 11 10 9 9 9 8 8 7 5 5 5 7 9 6 5 6 7 5 1 0 0 0 0 0 0 0 0 2 6 9 9 7 6 5 5 6 6 6 6 6 6 6 6 6 6 6 7 8 8 6 4 4 6 7 7 7 7 6 6 5 5 3 0 0 0 0 5 14 27 36 38 36 37 42 48 48 38 27 26 33 30 20 13 8 8 8 6 1 4 14 18 9 2 0 0 1 3 12 28 52 76 90 100 117 129 121 92 72 66 62 59 63 70 83 98 112 124 131 132 130 127 126 128 128 129 131 138 146 151 159 173 174 178 182 179 180 180 176 167 157 146 132 122 120 118 113 110 114 117 123 135 140 132 122 118 116 116 115 118 122 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
23 27 31 29 22 15 10 8 6 5 6 8 10 12 14 15 14 13 11 9 6 2 0 0 0 0 2 5 5 4 2 0 1 3 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 1 2 2 1 0 0 0 0 1 2 3 3 4 4 4 4 4 4 3 3 3 2 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 1 4 7 8 7 5 4 4 5 6 7 8 8 7 6 6 5 6 8 8 8 8 7 5 4 2 2 3 5 7 8 8 7 8 9 9 9 9 9 9 9 8 6 5 7 11 12 7 6 7 7 3 0 0 0 0 0 0 0 0 0 0 2 5 9 10 9 8 7 7 6 6 6 6 6 5 6 7 8 8 9 10 8 6 3 3 5 7 8 8 8 7 7 6 5 5 5 3 1 0 3 9 23 36 42 41 36 32 30 32 26 18 22 45 53 38 28 14 11 10 9 2 0 5 8 7 3 0 0 0 0 1 8 26 52 77 92 104 117 120 96 76 67 62 56 53 54 60 70 83 95 106 111 113 114 119 124 125 120 119 127 135 142 149 169 179 185 188 185 179 166 155 149 144 140 134 130 128 128 124 114 123 133 144 156 161 153 141 132 128 128 124 119 123 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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