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 7 7 7 7 7 7 7 5 5 4 4 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 6 7 8 8 8 7 7 6 5 5 5 5 5 5 5 6 7 8 7 5 4 4 5 7 9 6 7 5 7 8 7 -2 10 12 5 3 6 2 6 10 8 5 3 5 5 4 6 1 -1 2 3 1 6 6 1 -0 5 10 7 -1 0 11 14 7 3 7 10 7 7 5 1 4 6 2 0 4 9 9 6 7 6 0 -1 1 3 2 -0 -0 3 5 4 11 29 43 34 16 8 5 4 4 4 3 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 7 8 11 14 16 15 12 8 5 3 2 3 2 1 1 -1 -2 -1 1 3 5 5 5 4 5 5 4 3 2 2 4 5 5 6 6 7 6 5 3 5 11 12 6 4 4 4 5 5 5 6 5 4 3 3 3 2 2 1 1 1 1 1 1 1 1 2 2 3 3 2 1 -1 0 2 4 6 6 5 4 5 6 8 9 11 10 9 8 6 4 3 5 7 7 5 4 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 8 17 27 19 8 7 9 7 2 2 -3 -6 -12 -6 0 -3 -1 4 3 2 0 -0 -3 -10 -13 -9 -7 -8 -6 -2 2 4 5 5 6 8 10 14 18 18 12 9 10 9 8 7 10 13 18 23 24 21 15 13 14 16 14 13 12 10 9 6 1 -1 1 3 4 3 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 5 5 6 6 6 7 7 7 7 6 4 4 4 5 6 7 7 6 5 5 4 4 4 4 3 3 2 3 4 4 5 6 6 6 7 7 6 5 5 5 5 4 3 3 3 3 3 4 4 5 5 5 5 4 5 4 4 4 3 3 2 2 2 3 3 2 3 4 4 4 3 3 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 5 4 4 4 4 5 4 5 5 5 5 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 5 5 4 5 4 4 4 4 5 5 4 4 4 4 4 5 5 4 5 6 6 8 8 8 7 6 6 6 5 5 5 5 5 5 6 7 7 6 5 4 5 5 8 9 9 10 8 10 16 9 4 10 10 6 3 8 3 0 4 10 10 6 2 4 8 6 3 1 -0 -1 2 11 10 4 3 6 11 10 5 3 9 13 12 10 10 9 11 11 6 4 8 9 5 2 3 4 4 6 8 5 1 0 2 5 5 6 7 8 9 14 26 38 36 21 9 6 5 4 4 4 4 3 3 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 5 6 8 9 12 13 13 10 7 4 2 2 2 1 1 -0 -0 -1 0 2 4 6 5 5 4 3 4 3 3 2 2 5 6 6 7 7 6 6 5 5 5 9 9 6 5 5 4 4 5 6 6 5 4 4 3 3 2 2 2 1 1 1 1 1 1 1 1 2 3 4 3 1 1 2 4 5 5 5 5 4 6 7 9 11 12 12 11 10 8 5 3 5 8 7 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 9 17 25 22 17 14 7 8 11 10 1 1 0 1 -0 3 5 5 6 7 6 4 1 -1 -2 -1 -3 -4 -2 1 4 5 5 5 5 5 6 8 11 9 5 5 5 6 7 8 11 17 22 24 22 17 14 13 10 8 8 8 8 7 5 2 1 2 5 4 3 4 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 4 4 4 4 5 5 5 6 7 7 6 5 5 5 5 6 6 6 6 5 4 5 5 4 4 4 3 3 3 3 3 3 4 5 5 6 7 6 5 6 6 5 5 4 4 4 3 3 3 4 4 5 5 5 5 4 4 4 4 3 3 3 2 2 3 3 3 3 3 4 4 3 3 3 4 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 6 6 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 4 4 4 4 6 9 14 12 9 12 16 4 6 10 6 4 4 7 3 -4 -2 6 11 10 3 4 9 5 4 3 0 -2 3 9 9 8 8 8 9 10 10 12 11 8 9 11 8 6 10 6 1 5 10 12 8 5 -0 -3 1 5 7 7 7 7 6 6 6 6 9 11 16 28 39 35 21 10 6 6 4 4 4 4 4 4 3 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 10 12 11 10 7 5 3 3 2 2 2 2 2 2 1 -2 2 7 6 5 4 3 3 3 3 3 4 6 7 7 7 7 7 6 5 4 4 7 6 1 3 4 1 1 4 6 6 5 4 3 3 2 2 2 2 2 2 2 2 2 1 1 2 4 5 5 5 4 3 3 5 5 5 5 5 5 6 8 11 13 14 14 14 13 10 5 4 6 8 7 5 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 7 14 20 22 18 9 6 6 4 2 4 5 5 3 5 5 6 5 7 9 8 7 7 5 4 3 2 2 2 4 5 4 5 5 4 4 5 6 6 4 4 5 5 6 7 10 14 18 18 15 12 10 8 7 8 10 10 9 7 4 1 2 4 5 4 3 3 2 3 3 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 3 4 4 4 4 3 3 4 5 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 5 6 5 5 5 5 6 5 5 5 4 4 4 3 3 3 4 4 4 5 4 4 4 3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 5 6 7 7 7 6 6 6 6 6 6 5 5 4 4 5 6 5 5 5 4 4 4 2 4 13 12 6 8 9 2 1 6 7 4 10 9 -2 -5 0 5 10 10 5 6 8 5 1 4 3 -0 1 2 5 9 11 9 8 8 9 11 11 11 11 8 5 7 8 1 -1 6 11 14 11 5 -1 -2 1 4 6 9 10 8 7 5 3 3 7 14 26 37 36 22 10 6 5 5 5 4 4 4 4 4 3 3 3 2 2 2 3 4 4 4 4 4 4 5 5 4 4 4 4 5 6 6 7 9 10 10 10 8 6 5 4 4 4 4 4 5 4 -0 -3 3 7 6 6 5 4 4 5 5 4 5 6 7 7 7 7 7 6 5 5 4 5 4 -1 0 2 -0 0 4 6 5 4 3 2 2 2 2 2 2 3 3 3 3 2 2 2 4 6 8 8 7 5 5 4 5 5 5 5 5 5 6 8 11 12 13 14 15 15 12 7 5 7 8 5 4 4 5 5 5 4 4 4 5 5 6 6 5 5 4 4 4 3 3 3 3 3 2 2 2 2 3 8 15 16 10 6 4 2 1 3 7 7 6 6 6 7 7 7 7 6 7 5 3 4 5 5 5 5 5 5 4 5 5 5 4 3 4 4 4 4 5 6 6 6 8 10 12 12 9 7 6 5 6 9 12 13 10 5 3 2 3 4 4 3 2 2 2 3 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 2 3 4 3 3 3 3 3 4 5 5 4 4 5 5 6 6 6 7 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 5 5 4 5 4 5 5 5 4 4 5 5 4 4 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 5 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 -0 0 8 9 5 7 6 3 3 6 4 2 12 13 1 -2 2 8 10 5 2 2 7 7 1 1 3 3 5 6 2 3 8 8 7 5 4 6 7 13 14 8 4 5 4 5 5 7 8 11 10 5 3 7 5 5 8 9 9 7 5 2 0 1 7 18 31 33 21 9 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 2 3 4 4 4 4 5 5 5 5 5 5 4 5 5 5 6 6 7 8 9 9 8 7 7 6 5 5 5 5 5 3 2 3 4 6 7 5 5 5 5 6 5 4 5 6 7 7 7 7 6 6 5 5 4 4 4 3 -2 -2 5 8 7 6 4 3 2 3 2 2 3 3 4 5 5 5 4 3 3 5 7 8 8 8 7 6 5 5 5 5 4 5 5 5 6 8 10 12 12 13 14 16 14 10 8 8 7 4 4 4 4 5 5 5 4 5 5 5 5 5 6 5 5 4 4 3 3 3 2 1 0 -1 -1 -2 -2 -1 3 8 8 5 4 3 3 6 9 9 6 6 6 8 10 11 8 6 7 6 5 6 6 6 6 6 6 5 5 4 4 5 4 3 4 3 3 4 4 5 5 6 6 7 7 6 5 4 3 5 6 9 12 13 9 5 3 4 3 2 2 2 1 2 3 3 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 2 2 2 3 3 3 2 2 3 4 5 5 4 3 3 4 5 6 6 7 7 7 6 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 5 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 5 6 8 8 7 7 7 7 6 6 5 5 4 4 5 5 5 5 6 5 5 4 1 3 7 5 4 9 5 -0 6 7 1 1 6 7 6 5 3 9 11 4 2 2 4 4 5 5 5 5 9 11 5 -1 2 6 6 -0 -4 2 6 11 9 5 3 2 2 7 10 7 5 8 8 8 11 12 8 9 11 8 7 7 4 1 0 2 8 19 25 18 8 5 4 5 5 5 5 5 5 4 4 3 3 3 3 3 3 3 4 3 4 4 4 5 5 5 5 6 6 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 6 6 5 5 3 2 5 4 5 7 5 5 6 5 5 4 4 4 6 6 6 7 7 7 6 5 4 4 4 4 4 -1 -1 6 10 8 5 3 3 2 3 3 3 4 6 7 8 8 6 4 3 4 6 7 7 7 6 6 6 5 6 5 4 4 5 5 5 6 8 9 9 10 11 12 13 14 13 11 9 5 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 2 0 -2 -4 -4 -4 -6 -5 -2 2 5 5 5 4 5 8 9 9 5 5 10 8 8 14 12 8 7 8 7 8 7 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 4 4 5 6 6 6 5 4 4 3 3 4 6 8 11 11 8 5 4 4 3 2 2 3 2 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 2 2 2 3 3 2 2 2 3 4 5 4 3 2 3 4 4 5 6 7 7 7 6 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 4 3 3 4 4 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 4 3 4 3 3 4 4 5 6 7 8 7 7 7 7 6 6 5 5 4 4 5 5 5 5 6 6 5 4 4 5 7 5 4 9 5 -3 0 1 3 7 4 2 7 9 5 8 9 2 2 7 5 2 7 9 5 4 7 7 7 -0 -2 5 5 -4 -7 2 5 6 2 1 1 4 4 2 5 4 4 5 -0 6 12 11 10 10 9 6 4 6 5 3 2 4 10 19 18 8 4 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 6 7 8 8 8 8 7 6 6 6 6 5 2 4 4 5 6 6 6 6 5 5 5 5 5 5 6 6 7 7 7 6 5 4 3 3 4 4 3 -1 -2 3 6 3 2 2 2 3 3 4 6 8 10 11 10 8 5 3 4 5 6 5 4 3 4 5 5 6 5 4 4 4 5 5 5 7 7 7 8 9 10 11 13 14 13 8 4 3 3 3 4 5 5 5 5 5 5 5 4 4 5 5 4 3 3 2 2 3 4 2 0 -2 -2 -0 -2 -2 1 2 4 5 5 4 4 6 7 6 6 4 6 6 8 12 12 9 7 7 8 8 8 7 6 7 6 5 4 3 2 3 4 4 4 3 4 4 3 4 5 6 6 6 5 4 4 4 3 4 4 6 8 9 8 5 4 5 4 4 4 4 3 3 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 3 3 3 3 2 2 1 2 3 4 4 3 3 2 2 3 3 4 4 6 7 7 6 6 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 5 5 5 6 6 5 5 5 6 6 6 5 4 4 3 3 4 4 4 6 7 8 8 7 6 6 6 6 5 5 5 5 5 5 5 4 6 6 6 5 5 4 5 6 7 8 6 2 4 5 4 4 4 3 6 9 8 9 5 1 3 8 8 5 7 6 4 5 6 4 6 3 2 9 4 -8 -3 5 7 7 2 0 -1 5 7 4 3 0 2 3 -4 1 5 7 9 10 9 6 5 5 3 4 5 8 16 21 14 6 4 5 5 4 4 4 4 5 4 4 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 4 4 5 5 5 5 5 6 7 7 8 8 7 7 7 6 6 6 4 4 6 7 7 6 6 5 6 6 5 5 5 6 6 6 6 6 6 6 5 3 2 2 3 4 4 1 -2 -0 3 3 2 3 3 3 4 5 7 11 14 14 12 9 4 1 2 3 3 3 2 3 3 4 5 6 5 4 4 4 4 5 6 7 7 6 6 7 9 11 13 15 12 7 3 2 3 3 4 4 5 5 5 5 5 4 4 4 4 5 4 3 2 1 1 3 7 6 4 2 2 3 4 3 3 3 3 3 5 5 4 5 5 6 8 6 3 3 5 8 9 7 7 7 8 8 9 8 7 7 6 6 5 4 1 1 3 4 4 4 4 4 3 3 4 5 7 7 6 5 4 4 4 4 4 4 5 6 6 6 5 5 5 6 6 4 4 4 2 2 2 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 3 2 2 2 2 3 3 3 3 3 3 2 2 3 2 3 3 4 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 6 5 4 4 3 3 4 4 6 7 7 9 8 6 6 6 6 6 5 5 5 5 5 4 4 6 6 6 6 4 4 5 7 8 7 8 9 10 10 7 7 8 4 3 5 10 12 4 4 5 5 8 5 6 5 6 6 5 4 5 7 11 15 2 -8 2 7 9 11 9 1 -1 1 3 4 6 5 7 5 2 1 4 3 6 9 8 6 6 5 3 5 8 13 21 20 10 5 4 5 5 4 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 4 5 5 6 6 7 7 7 7 7 7 6 6 6 12 14 11 9 7 6 6 6 6 5 5 5 5 6 6 5 5 4 3 2 1 2 3 4 5 7 5 1 2 4 3 3 3 3 4 6 9 13 16 15 12 7 2 -1 -0 3 2 2 2 3 4 4 4 5 6 5 4 4 4 4 5 6 6 6 6 6 8 11 13 13 11 6 3 2 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 2 4 3 2 6 7 5 5 2 1 3 4 3 3 3 4 4 6 8 8 8 10 12 10 5 1 2 5 6 6 7 7 7 8 8 8 8 7 6 7 8 7 4 2 3 4 5 4 3 4 3 3 4 5 6 7 7 5 5 4 5 5 5 4 4 5 6 7 6 5 5 6 6 6 6 5 3 1 2 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 3 4 4 3 3 3 3 4 4 3 3 3 3 3 3 2 2 3 3 3 4 5 6 6 7 6 5 5 5 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 5 5 5 4 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 6 6 7 7 7 6 5 4 3 3 4 4 6 7 8 8 8 7 5 6 6 6 6 5 5 6 5 4 5 5 6 6 6 5 4 5 5 4 4 7 10 8 5 8 12 11 8 5 2 5 8 7 9 7 4 7 7 7 7 7 6 4 5 5 7 12 11 -2 -4 4 6 9 14 11 -1 1 1 2 5 4 5 9 6 9 5 6 6 10 14 9 5 4 3 3 7 10 15 21 15 7 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 5 5 4 5 5 5 5 6 6 6 7 6 6 7 7 8 12 16 17 16 14 11 9 8 7 5 6 6 5 5 5 4 3 2 2 2 2 2 4 5 6 7 7 4 4 4 4 3 3 4 4 5 9 14 17 15 10 5 -0 -3 -0 3 3 2 3 3 4 4 4 5 6 5 5 4 4 4 5 5 6 6 5 6 8 10 12 12 8 4 2 2 3 4 4 4 4 4 5 5 5 5 4 3 3 4 3 2 2 6 11 8 5 6 6 6 4 2 2 3 5 6 6 7 6 9 11 12 13 14 13 12 9 3 2 4 5 6 7 7 7 8 8 8 8 8 8 8 9 11 9 7 5 4 5 4 4 4 3 3 3 4 5 6 7 6 6 5 4 5 5 5 4 4 5 6 6 5 6 6 6 5 7 8 7 3 1 1 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 2 2 2 3 3 3 3 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 4 5 6 7 7 6 6 5 5 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 6 5 5 6 6 7 8 8 7 6 5 4 3 4 4 5 7 7 8 8 7 6 5 6 6 6 6 6 6 6 5 5 5 5 6 6 5 4 3 2 -1 0 5 8 5 3 10 12 8 5 3 1 2 5 9 9 7 6 5 7 9 10 6 3 4 8 7 4 3 4 -0 1 4 5 10 13 7 -3 3 2 3 8 5 4 3 6 9 5 6 10 16 17 12 6 4 3 4 6 8 16 19 11 5 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 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 6 6 6 7 11 15 18 18 17 15 13 11 10 10 9 7 6 4 3 2 1 2 3 5 8 10 10 9 10 10 10 7 4 4 4 4 4 4 5 8 12 16 15 9 4 -0 -1 2 4 3 3 4 5 4 4 4 4 5 5 5 3 2 2 4 5 5 6 6 5 7 9 10 10 7 3 1 1 1 2 4 5 4 5 5 5 5 4 3 2 2 2 1 0 -0 3 12 12 6 6 6 5 5 4 4 6 9 11 12 12 11 12 13 13 13 12 10 9 7 4 3 4 5 6 6 6 7 7 8 8 8 9 9 9 10 11 11 9 6 5 5 5 4 3 3 3 3 4 5 6 7 7 6 6 5 4 4 4 4 4 4 5 7 6 5 5 5 5 5 9 10 6 1 1 2 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 1 1 1 1 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 5 6 6 6 6 5 5 5 5 6 6 5 5 5 5 4 4 3 3 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 8 8 8 8 7 6 4 3 4 5 7 7 8 8 8 6 5 5 6 6 6 6 6 6 6 6 6 5 5 6 5 4 4 3 2 3 5 2 2 6 10 9 5 3 1 1 6 9 7 6 4 4 4 8 11 12 7 1 2 7 9 1 -5 0 3 4 3 3 7 9 2 -1 3 4 6 6 4 2 5 11 7 0 4 11 13 12 10 7 4 6 10 9 11 18 16 8 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 8 10 12 14 15 15 15 16 14 12 11 9 6 5 5 6 6 9 13 17 18 18 17 17 16 13 6 4 4 4 4 4 4 5 6 8 10 11 9 5 3 3 5 5 5 4 4 4 4 4 4 3 4 5 5 2 -4 -5 -0 4 6 6 5 5 5 6 8 9 8 5 1 -1 -3 -2 -1 2 4 5 3 3 2 2 1 -1 -3 -3 -3 -3 -2 2 8 9 6 5 5 4 5 6 5 8 12 14 15 15 12 10 10 10 8 8 8 6 4 5 4 4 5 5 5 5 6 7 8 8 9 9 9 10 10 10 10 7 6 5 5 6 5 4 3 3 3 3 4 6 7 7 7 7 5 4 4 4 3 3 4 5 7 7 5 3 4 4 4 7 9 6 4 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 1 1 1 2 2 3 2 2 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 5 6 6 5 5 5 5 5 6 6 6 5 5 5 5 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 3 3 3 3 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 3 3 3 3 3 4 4 3 3 4 3 4 4 3 4 5 5 5 5 5 4 5 5 4 3 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 6 7 8 9 9 9 9 8 7 5 4 4 6 7 7 7 8 8 7 6 5 6 6 6 6 7 7 7 7 6 6 6 5 5 6 7 9 8 6 4 -2 2 10 10 2 7 12 12 6 7 6 5 7 5 3 5 10 13 14 10 3 1 2 7 5 -3 -0 5 5 4 3 3 2 -3 1 2 6 6 4 4 2 6 12 6 -4 0 9 10 8 8 7 5 5 10 13 19 20 13 6 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 6 6 6 6 6 6 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 2 3 3 3 3 4 5 6 8 10 12 12 12 12 12 12 12 13 13 14 17 19 19 19 19 20 21 22 19 10 5 5 5 4 4 5 4 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 4 4 3 4 5 7 5 -4 -12 -10 1 5 5 6 5 4 5 6 8 9 8 6 2 -3 -7 -8 -6 -2 2 2 0 -2 -2 -2 -2 -6 -8 -8 -6 -3 1 5 6 5 4 4 5 7 10 10 10 11 10 10 11 8 6 6 6 6 7 7 6 5 5 5 5 5 4 5 6 6 6 8 9 9 9 10 10 10 10 9 7 6 5 6 6 6 4 4 3 3 4 4 5 6 7 7 7 6 5 4 4 3 3 3 5 6 6 4 3 3 2 3 6 8 5 4 3 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 4 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 5 5 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 8 9 9 10 11 11 10 8 7 5 5 6 7 8 7 7 7 6 5 5 6 7 7 7 7 7 8 8 7 6 6 5 5 6 10 12 9 6 3 -2 5 11 11 1 11 19 15 8 2 -1 5 9 8 5 6 10 14 16 13 9 7 3 2 6 4 4 7 6 7 5 1 -1 -3 2 4 7 6 6 4 3 4 10 9 0 3 7 8 9 10 9 6 5 6 13 22 18 9 5 4 3 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 4 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 4 4 3 3 2 2 2 2 1 1 2 2 3 3 3 4 5 7 7 8 9 11 13 17 19 19 20 21 20 16 12 12 13 15 17 14 7 5 5 5 4 4 4 4 5 4 4 3 3 3 2 2 3 5 3 1 2 5 6 5 5 4 3 4 5 9 11 7 -3 -9 -4 3 5 5 5 5 4 5 7 8 10 10 9 4 -2 -8 -13 -13 -8 -2 -2 -5 -5 -3 -2 -3 -4 -5 -5 -1 1 2 4 5 5 5 6 8 14 17 14 10 9 6 5 6 4 4 5 7 7 6 6 6 5 5 5 4 4 4 5 6 6 7 8 10 10 11 11 10 10 9 8 7 6 6 7 7 5 4 4 4 4 4 5 6 7 7 7 6 6 5 4 4 4 4 5 6 5 4 3 2 2 2 4 6 5 2 2 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 5 4 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 5 4 4 5 5 4 4 4 3 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 7 8 9 10 12 13 13 12 10 8 6 6 7 8 8 7 6 6 5 5 5 6 7 7 7 7 7 8 8 7 6 5 5 5 6 8 8 6 5 5 5 6 5 3 2 8 16 9 8 0 -2 3 7 6 11 12 8 9 14 15 13 13 8 3 1 4 6 4 5 9 7 3 1 2 4 8 8 8 6 4 6 5 10 10 7 7 7 6 6 9 10 8 7 5 15 21 13 6 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 3 4 4 4 5 5 5 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 4 4 3 2 2 2 2 2 2 2 3 3 3 3 4 5 6 6 8 9 11 14 16 16 15 12 9 7 6 6 6 7 8 7 5 5 5 5 4 4 4 4 5 5 4 3 2 2 3 -0 -2 1 2 -5 -8 -2 4 6 5 4 4 4 5 11 17 15 7 3 0 3 5 5 5 5 4 4 4 6 8 10 13 13 10 3 -7 -15 -16 -10 -6 -5 -3 -1 0 2 3 3 2 2 3 3 4 5 5 4 4 6 12 19 17 14 10 6 4 4 4 4 6 7 6 5 5 5 4 4 4 3 4 4 4 5 6 6 7 10 11 12 11 10 10 10 8 7 6 6 7 7 6 5 4 5 5 5 5 6 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 3 2 2 2 4 4 3 3 4 3 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 3 3 3 4 4 4 4 4 2 2 2 1 1 2 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 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 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 6 5 5 6 6 7 9 10 12 14 16 17 15 12 9 8 7 8 8 8 6 5 5 5 5 5 6 6 7 7 7 7 7 6 5 5 5 4 4 5 6 6 3 4 8 13 6 4 2 5 2 9 7 13 7 3 1 3 4 10 12 7 4 9 13 11 10 7 2 0 3 2 1 6 10 9 7 4 5 7 8 8 7 4 7 12 7 7 7 8 5 5 6 5 7 9 9 8 10 20 19 8 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 6 5 5 6 5 4 5 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 5 6 7 7 7 8 9 8 6 4 4 4 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 5 5 1 2 6 1 -11 -13 -5 3 4 4 4 4 5 9 17 18 9 5 5 4 4 4 5 4 4 3 2 2 3 5 6 9 12 13 7 -4 -11 -9 -5 -2 -1 1 2 4 5 6 6 5 4 5 7 7 7 7 6 3 3 10 15 12 8 5 4 4 4 5 6 7 5 5 4 4 4 4 4 4 4 4 4 5 5 6 6 8 10 12 12 11 9 9 9 8 7 6 7 8 7 5 5 5 5 6 6 6 6 6 6 6 5 6 6 5 6 5 5 5 6 5 5 5 4 3 2 3 3 4 4 4 3 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 3 2 2 3 4 5 5 4 4 4 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 4 3 3 3 3 3 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 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 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 6 6 8 9 11 13 17 21 22 20 15 11 9 9 8 8 7 6 5 4 5 5 5 6 6 6 7 7 6 5 4 4 5 5 5 4 4 6 5 4 4 9 10 4 6 12 6 -7 5 12 17 13 10 1 2 3 5 8 5 2 6 8 7 9 5 -1 -0 2 2 4 7 10 11 7 3 5 9 9 7 3 3 7 12 7 5 6 5 2 2 6 5 5 6 8 9 14 21 16 6 4 3 4 4 3 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 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 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 6 9 9 7 11 12 2 -10 -14 -8 -1 -1 0 1 3 6 10 13 9 2 3 4 4 4 4 3 1 -0 -2 -5 -3 -2 -3 -3 3 9 11 8 6 5 4 1 -1 0 2 5 6 4 3 5 6 9 9 9 10 13 11 7 2 4 10 8 6 5 5 4 4 5 6 6 5 4 3 3 4 4 4 4 4 4 4 5 5 5 5 6 9 12 13 11 10 9 9 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 6 5 5 6 6 5 4 3 2 2 3 4 5 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 3 4 4 5 5 5 5 5 5 5 4 3 2 2 3 3 3 3 3 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 2 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 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 7 8 9 12 16 21 26 27 23 17 13 10 9 9 8 6 5 4 4 5 5 5 6 6 6 7 7 7 5 3 3 4 5 5 4 5 6 7 8 7 6 6 9 0 6 12 0 -0 10 11 10 10 2 3 3 4 9 2 0 3 2 4 11 7 1 3 4 6 7 6 9 12 4 -4 -0 6 10 6 3 4 8 7 3 2 3 2 1 1 4 5 5 5 6 10 20 23 13 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 6 7 7 11 13 9 1 -10 -15 -10 -8 -6 -5 -2 3 5 7 6 4 4 3 2 2 1 -0 -2 -3 -4 -7 -8 -5 -4 -7 -6 1 7 11 11 10 7 4 3 2 3 7 9 8 5 5 9 11 10 8 8 10 11 9 7 6 9 8 6 5 5 5 5 5 6 6 5 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 7 10 12 12 11 10 9 9 8 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 6 5 5 5 6 6 5 5 4 2 2 2 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 4 4 5 5 4 5 5 5 6 6 6 5 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 4 5 5 6 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 4 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 2 2 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 4 5 5 6 6 6 6 6 7 7 8 10 14 20 26 31 32 26 19 14 11 9 8 7 5 5 4 4 4 4 5 6 6 6 7 8 8 6 5 4 5 6 5 5 5 6 8 10 8 2 6 15 3 -2 1 8 -2 7 4 2 5 3 6 7 7 6 -1 -1 0 -2 2 10 6 3 6 5 7 7 3 8 11 2 -4 -0 4 9 7 5 6 9 4 -0 -0 1 -1 2 5 4 4 5 4 4 12 26 23 10 4 4 4 3 3 3 4 4 3 3 4 3 4 4 4 4 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 5 5 5 5 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 5 5 4 5 4 4 5 5 5 5 4 4 4 4 4 4 3 4 4 5 9 13 9 4 1 -6 -8 -8 -8 -10 -10 -3 1 4 5 5 5 4 3 1 -1 -0 -0 -1 -1 -0 -2 -1 1 2 0 2 6 7 8 7 6 7 7 6 5 7 10 14 11 7 9 9 7 7 5 3 7 6 6 7 8 8 6 6 6 5 6 6 6 6 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 6 7 10 12 12 11 11 10 8 7 7 7 7 7 7 6 6 6 7 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 2 2 2 2 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 4 4 4 5 4 5 4 4 5 5 5 5 6 6 6 6 5 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 3 3 4 4 3 4 4 4 4 4 5 6 6 6 6 5 5 5 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 3 3 4 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 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 6 6 6 6 6 7 7 8 13 18 23 29 34 33 26 18 14 11 9 8 6 4 4 4 4 4 4 5 6 6 7 7 9 8 7 6 5 6 5 4 6 6 6 6 6 5 -0 4 10 8 1 -3 6 -2 2 3 1 1 9 12 15 10 5 1 -0 -3 -4 2 7 4 5 6 4 5 5 3 6 7 3 1 4 6 6 6 7 7 5 2 3 2 -0 -2 3 9 6 5 5 4 6 15 27 21 7 4 4 3 3 3 3 4 4 4 4 4 3 3 4 4 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 6 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 4 4 5 9 16 15 8 6 4 2 2 0 -4 -9 -10 -6 -1 3 4 4 4 4 3 2 5 7 4 3 5 5 5 6 7 7 6 6 6 5 5 6 6 5 6 8 6 7 11 12 10 7 5 4 6 4 2 3 4 5 6 7 7 6 6 6 6 7 6 6 6 5 3 2 2 3 3 3 4 4 5 5 5 6 5 5 5 5 6 7 10 12 12 13 13 10 8 7 7 7 6 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 4 4 3 4 4 5 4 4 3 2 1 1 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 3 4 4 4 4 4 4 4 4 4 5 6 7 7 6 5 5 4 4 4 4 4 3 2 2 3 3 3 4 4 4 5 4 4 4 3 3 4 4 3 4 4 4 5 5 6 6 6 6 6 5 4 5 4 3 3 3 3 3 2 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 6 6 7 6 7 12 19 24 28 32 35 31 23 16 12 10 9 7 5 4 4 4 5 5 5 5 6 7 8 8 9 9 8 6 6 5 4 3 5 6 4 3 4 5 1 3 7 8 7 14 15 2 -7 -1 4 2 11 14 17 12 6 6 4 -2 -3 2 4 5 10 11 7 6 3 3 6 6 5 5 6 5 1 4 8 9 5 4 8 7 -0 0 5 9 7 7 7 5 8 16 26 20 7 4 4 3 3 3 3 4 4 4 3 3 4 4 3 3 4 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 8 14 20 18 10 5 6 8 6 4 1 -4 -9 -8 -3 0 1 1 3 5 4 6 8 7 6 6 6 6 6 6 7 7 6 5 5 6 5 3 1 4 7 6 4 5 6 6 5 4 3 4 4 2 3 4 4 5 7 7 5 5 6 6 6 6 7 5 4 3 3 2 2 3 3 4 4 4 5 5 5 6 6 5 5 4 5 7 8 10 12 14 12 10 8 8 8 7 7 7 8 7 7 6 6 7 8 8 8 7 7 7 6 6 5 4 3 2 3 4 4 4 4 3 2 1 1 1 2 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 3 2 2 3 3 3 4 3 3 3 3 3 3 3 4 6 7 7 6 5 5 5 5 5 4 3 2 3 3 3 3 3 3 4 4 5 4 4 4 3 3 3 3 4 4 4 4 5 6 6 6 6 7 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 6 6 6 6 7 12 22 28 31 33 34 31 25 18 13 10 9 7 6 4 3 3 4 5 6 6 6 7 8 8 9 9 8 8 7 6 3 3 3 4 4 7 6 5 7 6 7 8 5 5 17 17 7 -3 -3 4 5 7 8 10 15 8 8 7 1 2 3 2 7 14 12 6 6 2 1 6 10 8 6 7 4 -1 2 8 12 10 5 7 5 0 3 8 6 5 6 7 6 8 19 26 17 6 4 4 3 3 3 3 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 5 6 6 5 5 5 5 5 4 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 5 5 6 10 17 22 17 10 9 10 7 7 7 5 -0 -6 -6 -4 -3 -2 -1 -1 -1 1 4 6 7 5 3 4 5 5 6 7 7 8 8 6 6 5 4 5 5 4 3 3 3 3 5 6 6 5 4 4 3 3 4 5 6 6 5 5 6 6 6 5 5 4 3 4 3 3 3 3 3 3 3 4 4 4 5 5 6 8 7 2 2 5 6 7 9 11 11 10 9 9 9 10 10 9 9 8 7 7 6 6 7 8 7 6 6 6 6 6 5 4 2 1 2 3 3 3 3 2 2 2 0 0 1 2 2 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 2 3 3 3 3 3 3 3 2 1 2 2 3 4 5 6 6 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 4 4 5 5 4 4 3 3 3 3 3 3 4 4 5 6 6 7 6 6 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 6 11 24 36 36 33 31 29 24 18 13 10 8 7 6 5 3 3 3 4 5 5 6 7 7 8 9 9 9 8 8 6 3 2 2 3 2 3 10 11 7 7 6 10 9 4 3 9 11 9 5 4 8 8 5 3 5 13 7 6 4 4 6 3 3 7 10 7 5 5 3 3 8 13 9 5 7 6 1 3 7 10 10 6 4 3 3 7 8 3 3 4 5 5 7 18 24 15 6 4 4 3 3 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 6 5 5 5 4 5 5 5 4 4 4 4 4 4 5 5 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 4 5 5 5 6 6 6 5 5 5 5 5 6 5 6 10 15 18 17 16 16 13 10 9 9 7 2 -2 -1 0 -0 1 -2 -4 -2 2 5 8 6 2 3 5 5 6 7 10 13 12 9 8 9 7 4 3 2 2 3 4 5 7 9 10 9 7 5 4 3 4 5 6 6 7 6 5 4 4 4 4 3 3 4 3 3 3 2 3 3 3 3 3 4 4 4 6 8 11 6 2 5 5 6 6 8 9 8 8 8 8 10 12 12 11 10 8 7 6 5 6 6 6 5 5 5 5 7 5 4 3 2 2 2 3 3 3 2 1 1 -0 -1 -1 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 4 4 3 3 3 2 3 3 3 3 2 1 1 1 2 2 3 4 5 6 6 6 6 6 6 5 4 3 3 3 3 3 3 2 3 4 4 4 5 5 4 3 3 2 3 3 3 4 4 5 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 3 3 4 3 3 3 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 7 7 7 22 42 40 28 24 24 21 17 13 10 8 7 6 5 3 3 3 3 4 4 5 6 7 8 9 9 9 8 8 7 4 1 1 3 3 1 5 9 11 6 2 3 6 9 9 6 8 11 7 3 6 10 9 6 3 4 8 5 4 5 6 8 4 5 7 6 5 2 4 2 4 9 10 6 6 10 10 6 4 5 5 5 6 8 9 9 10 5 2 3 5 5 5 6 13 20 18 10 5 4 4 3 4 4 3 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 3 4 4 3 3 3 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 3 3 3 4 4 5 5 5 4 4 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 6 7 11 13 15 18 19 15 11 11 12 9 8 9 7 7 8 5 2 3 6 7 7 8 8 9 8 8 6 6 12 16 14 11 9 7 5 3 3 2 2 3 5 7 9 13 15 13 10 7 5 4 3 5 6 6 7 6 5 4 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 4 4 5 7 9 6 6 6 6 5 6 7 7 7 6 6 8 10 13 13 12 10 8 7 5 5 5 5 5 4 4 5 6 7 6 5 4 3 3 3 3 3 2 -0 -1 -1 -1 -1 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 5 5 4 3 3 2 2 2 3 3 2 2 2 1 1 2 2 2 3 4 5 6 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 5 5 4 4 4 3 3 3 2 3 3 4 5 5 6 6 5 5 5 4 4 5 4 3 3 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 3 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 4 4 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 8 12 32 43 23 9 10 14 14 12 10 9 7 6 5 4 3 2 2 3 4 4 5 6 7 8 9 9 8 7 6 4 2 -0 1 3 4 1 3 9 9 4 3 4 4 7 7 2 6 10 6 3 3 5 7 7 4 3 3 5 8 9 6 5 5 4 7 6 4 3 3 -0 1 5 6 4 8 12 10 7 5 3 2 1 5 12 15 14 12 5 3 4 4 4 5 7 11 15 21 16 5 4 4 4 4 4 3 4 4 4 4 3 3 3 3 4 3 3 4 4 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 3 3 3 2 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 4 4 4 5 8 11 14 15 13 13 16 15 15 17 14 10 10 12 10 9 11 12 9 9 15 15 12 12 8 5 10 13 11 8 7 5 3 3 3 3 3 4 5 7 11 16 19 18 13 9 6 4 4 6 6 6 6 6 5 4 2 2 2 3 4 3 3 3 3 3 3 2 3 3 2 2 2 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 5 7 10 13 14 12 10 7 5 4 4 4 5 4 4 5 7 10 10 9 7 5 3 3 4 4 3 1 -1 -1 1 2 2 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 4 3 3 2 2 2 3 3 3 3 3 2 2 2 2 3 3 3 4 4 5 5 6 6 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 3 4 4 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 3 4 3 3 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 11 19 31 26 8 -3 1 8 11 10 9 8 7 6 5 3 2 2 2 2 3 4 5 6 7 8 8 7 6 5 4 2 -1 -0 2 6 5 1 1 8 6 5 10 9 6 7 5 1 2 4 5 6 4 3 6 8 6 2 3 9 13 12 6 4 3 4 8 5 4 9 5 2 -1 3 4 2 6 8 6 5 4 3 0 -3 3 12 16 17 14 8 5 5 2 0 4 6 7 15 25 20 6 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 6 5 5 5 5 5 4 5 5 4 4 4 4 4 5 7 9 11 11 12 12 12 16 18 14 11 14 14 11 11 11 11 10 14 13 12 11 10 6 6 9 8 6 5 4 4 3 3 3 3 4 5 6 10 18 23 21 15 10 6 4 6 6 6 5 6 6 5 3 2 2 2 3 5 5 4 3 3 3 3 3 2 2 2 2 2 1 2 3 3 4 5 5 6 6 6 6 6 6 6 6 6 5 6 8 11 14 15 13 8 5 4 3 4 5 4 4 5 8 12 13 12 10 7 4 3 5 5 5 3 1 1 2 3 4 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 5 6 5 4 3 3 3 2 2 2 2 3 3 3 3 3 2 2 2 2 3 3 4 4 4 5 6 6 6 5 5 4 4 4 5 4 3 2 2 3 3 3 4 4 4 4 3 3 2 2 2 3 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 3 3 3 3 3 4 4 4 3 3 4 4 4 4 3 4 4 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 6 7 7 8 8 8 9 14 22 26 16 5 2 2 5 10 8 7 6 6 6 4 3 2 2 2 2 3 4 5 6 7 8 7 6 5 3 1 -0 1 2 4 6 6 3 5 8 2 5 9 5 8 10 4 -1 0 -1 2 8 7 4 8 11 7 4 7 10 12 10 6 3 2 6 10 5 3 8 7 5 2 5 7 0 2 5 4 4 3 5 3 -1 1 8 15 18 13 9 5 2 -1 -1 3 5 4 18 28 17 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 5 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 4 5 5 6 7 8 8 7 9 12 14 13 13 12 9 8 7 7 7 8 8 6 7 7 6 5 5 6 6 5 5 5 5 4 3 4 4 4 5 9 15 20 20 15 10 6 6 6 6 5 5 6 6 5 3 2 2 3 4 6 7 6 4 4 3 2 3 2 2 1 1 1 1 2 2 3 4 4 5 5 6 5 6 6 7 7 7 6 5 6 7 9 13 17 16 11 7 4 3 4 5 5 4 5 6 10 13 13 12 9 6 4 4 5 6 4 2 2 3 4 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 6 6 5 5 4 3 3 2 2 2 3 3 3 3 4 3 3 2 2 3 3 3 3 4 4 5 5 5 5 4 4 4 5 5 5 5 4 3 2 3 2 3 3 4 4 4 4 3 3 3 3 3 2 3 3 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 5 6 6 7 8 8 8 9 13 18 23 22 10 3 8 6 7 9 6 5 4 6 5 4 3 2 2 2 3 3 4 5 6 8 8 7 6 3 1 -1 1 3 4 5 2 3 8 10 11 6 8 -0 -6 6 12 5 1 -1 -2 4 9 8 7 9 11 9 8 10 8 7 6 3 1 3 9 11 4 -3 2 5 4 2 4 9 5 3 6 7 6 2 9 10 6 3 5 16 21 12 7 4 0 -2 0 7 9 6 18 28 14 5 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 4 3 4 4 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 6 6 7 8 8 8 6 5 5 4 3 4 4 3 3 3 4 4 4 4 5 6 6 6 6 5 4 4 4 4 5 7 10 14 15 14 10 6 6 7 6 5 5 5 5 5 4 4 3 4 5 6 7 6 4 3 2 2 2 1 0 0 1 1 2 2 2 3 3 4 4 5 5 5 5 6 7 7 7 6 6 6 6 8 11 15 18 15 10 5 3 3 4 5 5 4 5 8 11 12 13 11 7 4 3 4 4 3 2 2 3 3 3 5 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 5 5 6 6 6 5 4 4 3 2 2 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 5 5 4 4 4 4 5 6 6 5 5 4 3 2 2 2 3 4 4 4 4 5 5 4 3 3 3 3 3 3 3 3 4 3 4 3 3 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 4 5 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 4 5 6 7 6 7 8 8 9 12 19 23 21 14 5 6 11 10 11 8 5 3 4 4 4 4 3 3 3 3 4 4 4 6 7 8 8 7 4 0 -1 0 3 4 3 0 1 5 6 6 7 9 9 -1 -5 3 10 13 8 3 5 7 6 6 7 8 10 11 12 12 9 5 1 0 3 6 11 11 2 -1 5 6 2 -5 -3 9 12 9 8 10 5 1 7 13 10 7 6 13 23 18 9 4 -3 -6 2 12 13 8 17 27 16 5 5 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 3 3 4 4 5 5 5 6 6 7 7 5 4 4 3 4 5 5 4 4 4 3 3 3 3 3 3 2 2 2 3 4 5 7 8 7 6 5 4 4 4 4 5 6 8 10 10 8 7 6 6 6 6 5 5 6 6 6 6 5 5 5 6 6 4 3 3 2 2 1 1 1 0 0 1 1 2 2 2 3 4 4 5 5 5 5 5 7 7 7 6 6 6 6 8 9 13 18 20 14 6 2 3 3 4 4 4 6 8 9 12 13 11 8 5 4 3 2 2 2 2 3 2 2 3 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 5 6 6 5 5 5 4 3 3 3 3 4 4 5 5 4 5 4 3 3 3 4 4 4 4 4 5 5 4 4 3 3 3 5 6 7 6 6 5 4 3 3 3 3 4 4 5 5 6 5 4 4 3 3 2 2 3 3 3 4 3 3 3 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 4 3 3 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 5 6 7 7 7 7 8 12 21 27 24 15 4 2 10 15 14 11 5 3 4 4 3 3 3 3 3 3 3 3 4 5 6 7 8 9 6 1 -2 -1 2 4 4 3 -2 0 5 4 2 5 9 4 0 1 1 7 15 7 7 12 11 3 2 5 8 12 14 13 11 8 3 0 2 5 7 8 6 2 8 10 9 2 -9 -4 10 13 8 7 8 2 1 4 7 9 12 12 11 21 26 14 1 -6 -6 5 14 12 8 16 27 18 5 4 4 4 4 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 4 3 2 1 1 2 3 4 4 4 4 3 3 3 3 2 2 2 1 1 2 3 5 6 8 9 7 6 5 4 4 4 4 5 5 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 4 3 2 2 2 2 2 2 2 1 1 2 2 2 3 3 3 4 4 4 4 5 5 5 5 7 8 7 6 5 6 8 9 11 15 20 19 11 3 1 2 4 4 5 6 8 9 11 12 11 9 7 5 3 2 2 2 3 2 1 0 2 5 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 6 6 5 4 4 4 4 5 4 4 5 5 5 5 4 4 4 4 5 7 7 7 6 5 4 3 3 3 4 4 4 5 6 6 6 5 4 2 1 1 2 3 3 3 3 3 3 3 4 4 4 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 4 4 3 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 8 12 22 32 29 20 10 0 1 11 18 14 6 2 5 6 5 3 2 2 3 3 3 4 4 4 6 7 8 9 8 3 -2 -2 2 4 3 3 5 6 4 3 1 0 7 7 1 -0 4 3 1 0 2 7 8 7 2 3 5 8 12 15 16 10 4 -0 2 8 9 6 4 4 7 10 6 4 3 -6 -2 14 16 4 4 5 -0 3 5 3 4 8 11 14 26 32 16 1 -7 -5 8 13 7 7 16 28 20 5 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 4 4 3 2 1 0 1 1 2 2 3 3 4 4 4 4 4 3 2 2 2 2 1 2 2 4 7 8 9 9 7 5 4 3 3 4 4 4 5 5 6 7 7 7 8 7 6 7 6 6 7 7 7 6 6 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 2 2 3 3 4 3 4 5 5 5 5 6 7 7 6 6 6 8 10 11 13 18 21 15 6 2 2 3 4 5 7 8 9 10 11 11 10 8 6 5 5 4 4 4 3 1 -0 1 3 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 6 5 5 4 5 5 5 5 4 4 4 5 5 5 5 4 4 5 6 6 7 7 6 5 5 4 3 3 3 3 4 6 7 6 5 4 3 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 4 4 5 5 4 5 5 5 5 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 6 7 7 7 7 8 12 22 35 36 23 10 4 2 11 16 15 9 3 3 7 8 6 3 2 3 3 3 4 4 4 5 6 8 9 9 6 0 -2 0 4 5 2 1 4 10 12 10 5 0 2 2 1 4 8 7 -1 -8 0 6 3 4 6 5 7 9 10 14 17 13 2 -3 3 11 10 2 -1 3 8 7 4 4 4 0 -2 14 19 3 2 5 -0 4 4 1 2 6 9 18 33 33 16 1 -5 -1 9 11 5 5 14 29 23 5 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 4 5 4 4 4 3 3 1 1 1 1 2 2 2 3 3 4 5 6 5 4 4 3 2 2 2 2 2 3 4 6 9 10 10 8 6 5 3 3 3 3 4 4 4 6 10 10 6 5 7 7 7 7 6 6 7 7 6 5 5 4 4 4 4 3 4 5 5 5 4 3 3 3 2 2 2 3 3 4 4 4 4 5 5 4 5 6 7 6 5 6 8 11 13 13 16 20 17 9 3 2 3 5 5 6 7 8 9 9 10 11 10 8 8 8 7 6 5 4 2 1 1 2 4 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 4 4 5 5 5 5 5 6 5 5 5 5 4 4 4 5 6 7 7 6 6 5 5 5 5 5 4 3 3 4 5 6 5 4 4 3 4 4 5 7 7 7 6 6 5 4 3 2 3 4 5 6 7 6 5 3 2 1 2 2 3 3 3 3 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 6 7 8 8 7 8 12 20 30 35 29 16 2 -4 2 9 8 3 3 4 5 8 10 7 4 4 4 4 5 5 5 4 5 7 8 9 6 1 -2 -0 2 5 5 4 4 3 3 5 8 10 6 3 3 4 7 9 11 7 -1 2 3 2 1 2 5 11 11 10 11 14 12 2 -1 5 8 3 -4 -3 3 9 9 5 3 4 2 -1 12 13 1 -2 -0 1 7 2 0 7 10 8 21 37 30 11 -1 -3 5 13 10 5 4 13 28 23 6 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 5 5 4 4 4 3 2 2 3 4 4 4 5 4 4 3 3 3 2 2 3 3 4 4 3 4 4 5 5 6 7 6 5 3 2 3 3 3 3 3 3 5 8 9 10 9 7 5 4 3 2 3 3 3 4 7 12 14 8 4 6 7 7 7 7 7 7 6 6 5 5 5 4 4 4 3 3 4 5 5 5 4 2 2 2 2 2 3 3 4 4 4 4 5 5 4 4 6 7 6 5 6 8 12 14 16 17 18 18 11 5 3 6 6 5 5 6 6 7 8 8 8 9 10 9 9 9 8 7 6 4 2 2 2 4 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 7 7 7 6 5 5 5 5 4 3 2 3 4 5 5 5 4 3 3 3 4 5 7 7 8 8 8 7 5 4 3 2 3 5 7 7 6 3 2 2 2 2 3 4 4 3 3 2 3 3 3 4 4 4 4 5 5 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 5 5 7 9 8 9 10 12 16 21 23 25 24 15 0 -9 -9 -15 -14 -11 -3 4 8 10 10 7 5 5 5 5 5 6 5 5 6 8 8 5 -1 -3 -1 2 2 2 5 6 6 7 6 2 3 5 7 6 6 7 7 12 17 14 7 5 2 -1 -2 2 8 12 9 8 8 8 5 1 5 10 4 -3 -6 -3 5 14 14 9 7 7 0 1 11 13 4 -5 -7 1 13 7 1 6 7 7 23 36 26 7 -3 -1 8 14 11 6 5 15 26 18 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 4 4 4 4 4 4 4 5 5 4 4 3 2 2 2 2 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 6 7 7 6 6 6 6 5 4 4 3 3 4 4 4 4 5 4 4 4 3 3 3 4 5 5 5 4 4 3 3 3 3 3 3 4 5 5 5 4 4 5 5 5 6 7 8 6 5 4 3 4 4 3 2 2 4 6 8 9 8 7 6 5 4 3 2 2 2 3 9 15 14 8 5 6 7 7 7 7 7 6 6 6 6 6 5 5 5 5 4 3 4 4 4 4 3 2 1 2 2 2 3 3 4 4 4 5 5 6 5 4 5 6 6 6 6 8 13 19 22 22 22 22 18 11 8 8 7 6 4 5 5 5 6 7 7 8 9 9 9 9 9 9 8 5 3 2 3 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 6 7 7 6 6 5 5 4 5 5 5 6 7 7 7 5 5 5 5 6 7 7 5 5 5 5 4 3 2 3 4 3 3 4 4 4 4 4 4 4 6 7 8 9 10 10 9 7 5 3 3 4 6 6 6 4 3 2 1 2 3 4 5 4 4 3 2 3 3 4 4 4 4 4 5 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 9 10 11 13 15 15 14 12 14 18 11 -2 -13 -18 -23 -20 -11 -6 4 10 10 9 7 7 6 6 5 6 6 6 6 6 7 5 0 -4 -1 4 1 3 1 4 6 4 6 7 7 9 3 1 0 4 6 8 17 23 17 10 9 8 5 2 3 10 9 5 4 7 4 -2 1 14 17 6 -2 -3 -1 7 14 10 7 11 9 2 3 10 17 15 5 -4 2 11 11 2 1 6 15 27 29 17 4 -2 1 9 13 10 6 6 16 25 16 5 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 4 5 4 3 4 4 4 3 3 3 3 3 4 4 4 4 3 4 4 4 5 4 3 2 1 2 3 3 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 7 8 7 6 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 5 5 5 4 4 3 3 4 4 4 4 4 5 5 4 4 4 5 5 5 5 7 8 8 7 6 4 4 4 3 2 1 3 5 7 8 8 7 6 5 4 3 2 1 1 3 9 16 15 8 5 5 6 7 7 7 7 6 6 6 5 6 6 7 6 6 6 4 4 4 4 3 3 4 3 2 2 2 3 3 4 4 4 5 6 6 6 5 4 5 6 6 6 9 16 25 30 31 31 30 28 23 14 8 8 7 5 4 4 4 5 6 7 8 7 8 8 9 8 9 8 6 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 4 5 6 7 9 8 7 7 6 5 5 4 5 5 5 7 8 7 5 5 4 4 5 7 7 6 5 5 5 5 4 4 3 3 2 2 3 4 5 5 5 4 4 5 6 7 9 10 10 11 11 10 8 6 5 5 5 6 4 3 2 2 2 2 3 4 4 5 4 3 3 3 3 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 8 11 10 12 13 12 12 9 7 6 7 9 3 -5 -12 -13 -13 -9 -3 -2 6 12 10 8 7 7 6 6 6 7 7 6 5 6 5 3 -0 0 2 2 1 4 3 2 4 5 6 4 4 5 3 1 -0 4 3 6 17 21 17 11 9 9 7 4 3 7 7 3 2 6 5 -5 0 18 21 8 1 -1 1 11 16 7 -1 2 8 8 7 9 15 17 12 4 4 1 11 12 9 12 19 24 20 8 -0 -2 2 8 11 8 5 7 18 27 16 5 5 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 4 3 4 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 4 3 4 5 4 2 1 2 3 4 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 6 6 5 4 3 2 2 3 4 3 3 2 2 3 4 4 4 4 3 3 3 3 4 5 5 4 3 3 3 3 4 4 4 4 5 5 4 4 5 5 5 5 6 8 9 10 8 6 4 3 3 3 1 1 3 5 6 6 7 7 7 6 5 3 3 3 3 5 7 9 11 8 6 6 6 6 6 6 7 7 6 6 5 5 5 6 6 7 7 6 5 5 5 4 5 4 4 3 3 3 3 4 4 4 4 5 5 6 6 5 4 4 6 6 6 9 17 27 31 30 30 31 30 23 14 9 8 7 6 4 3 3 5 6 6 7 7 7 7 8 7 7 7 6 5 4 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 2 3 5 7 8 8 7 7 6 6 6 5 4 4 4 5 7 7 6 5 5 4 4 6 8 8 6 4 4 5 5 5 4 3 2 2 3 4 5 6 6 5 4 4 5 6 7 7 8 9 11 13 12 11 10 8 6 6 5 3 2 2 2 2 2 2 4 4 5 4 3 3 3 2 2 3 2 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 4 5 5 5 5 5 5 5 6 6 6 5 5 9 13 13 12 9 6 7 7 8 8 12 15 10 3 -2 -3 -2 -1 3 6 11 14 11 8 8 8 7 5 6 8 9 7 5 4 4 2 2 2 2 4 5 6 3 1 5 6 5 7 4 -0 2 4 5 6 0 4 11 11 10 10 7 6 6 5 5 6 8 5 1 6 8 -1 4 15 16 6 1 2 4 10 9 1 -3 1 7 7 6 8 8 7 4 7 7 -4 4 19 22 19 18 16 8 -1 -1 -2 1 8 10 7 5 9 21 25 13 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 5 4 3 4 4 3 3 4 4 4 4 3 3 3 4 4 4 3 1 1 2 4 6 7 7 6 6 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 3 3 3 2 1 1 2 3 4 4 3 2 3 3 4 5 5 4 4 3 3 3 4 4 4 4 3 3 3 3 3 4 4 5 5 5 4 5 5 5 6 8 10 11 12 11 8 6 3 3 3 2 0 0 4 6 5 5 6 7 8 7 6 5 7 8 7 6 6 4 4 6 6 6 6 6 6 6 7 7 6 6 6 5 4 5 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 6 6 5 4 4 5 7 7 9 14 20 22 19 18 20 20 13 7 7 8 6 6 4 3 3 4 6 6 5 5 5 6 7 7 6 5 4 4 4 3 3 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 4 5 6 6 5 5 5 6 5 4 3 2 3 4 5 5 5 6 5 5 6 9 10 7 4 4 4 5 5 4 3 2 3 3 4 5 5 6 6 5 4 4 4 5 5 5 6 7 10 12 13 13 13 11 9 6 4 2 2 2 2 2 2 2 3 4 4 3 3 2 1 1 0 0 1 2 2 2 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 12 17 15 9 3 3 6 8 11 13 23 36 28 17 11 8 6 7 10 13 15 14 11 8 7 8 7 6 6 8 9 6 4 4 4 4 4 3 3 7 10 8 4 3 7 6 1 9 10 8 6 6 8 -0 -5 4 7 3 3 4 2 5 11 9 4 4 8 7 3 6 9 7 10 16 15 4 1 2 1 1 1 -2 -1 7 7 5 6 5 1 4 5 8 10 -3 -8 9 27 24 14 4 -5 -5 -1 -1 3 10 11 8 6 8 17 23 14 4 5 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 3 3 3 3 4 4 4 3 1 1 3 5 6 6 6 5 5 5 4 4 3 3 4 4 4 5 4 4 4 4 5 5 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 2 3 3 4 3 3 3 3 4 5 6 6 5 4 3 3 3 4 4 4 4 3 3 3 3 3 3 4 5 5 5 5 6 6 6 7 10 14 16 16 13 9 6 3 2 2 1 -1 2 6 7 6 5 5 7 8 8 7 6 9 13 11 8 7 5 4 4 5 5 5 6 6 6 6 6 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 6 6 6 4 3 4 6 8 8 10 12 12 10 8 9 8 4 3 3 4 4 5 4 3 3 4 5 5 5 4 3 3 4 5 5 4 3 3 3 2 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 3 1 2 2 2 3 3 3 4 4 4 3 2 2 2 3 3 4 6 7 6 6 6 9 11 9 6 4 4 5 5 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 8 10 12 15 16 14 10 6 3 2 2 2 1 0 1 1 2 2 2 2 1 -0 -1 -1 -0 1 1 1 1 1 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 9 13 18 20 13 5 2 4 7 9 11 12 24 41 32 23 18 15 14 14 13 13 13 11 8 6 6 6 6 6 7 9 8 6 5 6 6 5 5 3 1 3 7 9 7 8 9 6 6 8 10 8 4 12 19 -2 -6 5 5 3 6 4 -1 7 17 12 2 2 6 8 9 9 9 9 8 14 15 6 1 0 -4 -2 6 4 7 14 10 9 11 1 -2 9 13 11 13 5 -7 4 28 23 8 -7 -12 -1 4 3 7 11 9 7 6 7 13 23 19 7 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 2 2 3 5 6 6 5 4 4 5 4 4 4 3 3 3 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 4 4 4 3 4 5 6 6 6 5 5 4 3 4 4 5 5 5 4 3 3 3 3 3 4 4 5 5 6 6 6 6 7 11 16 20 20 15 9 6 4 2 1 1 1 5 7 7 7 6 6 6 7 8 7 7 9 13 14 10 8 7 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 7 6 7 7 7 7 6 6 6 5 5 4 4 5 5 6 6 4 3 3 5 7 8 7 7 7 6 5 4 2 0 0 1 1 2 4 4 3 3 3 3 3 3 3 2 2 3 3 3 2 1 1 2 2 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 7 4 2 2 1 1 1 1 2 2 2 2 2 2 1 2 3 4 5 6 6 6 6 7 9 9 7 5 5 7 7 6 5 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 3 2 3 4 6 9 12 16 17 16 11 5 2 1 1 0 -0 -1 -1 -0 1 2 2 1 -1 -1 -1 -0 1 1 1 1 1 2 2 2 1 1 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 6 7 7 10 15 19 20 15 8 4 3 4 6 9 8 7 14 19 16 13 13 12 12 10 8 8 8 7 6 5 5 5 5 7 8 9 8 6 6 7 6 4 4 5 4 3 3 6 8 12 11 7 6 2 0 4 10 21 20 -0 -0 7 4 8 16 11 3 9 14 6 2 5 6 11 15 11 10 11 6 6 9 4 4 4 1 5 8 8 13 15 11 12 10 1 3 11 11 11 13 16 7 17 29 19 -2 -18 -9 13 19 16 16 14 8 6 5 7 13 23 21 9 5 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 3 2 2 4 5 5 5 4 5 5 5 5 4 4 3 3 3 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 4 4 4 5 5 5 4 3 3 3 3 3 4 4 5 5 6 6 6 6 6 10 17 21 20 15 9 6 4 2 1 1 4 7 8 8 8 7 6 6 6 7 7 6 7 11 14 11 6 7 6 6 6 6 5 5 4 4 5 5 5 5 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 4 4 5 5 6 6 5 4 3 4 6 7 8 6 4 4 4 2 1 1 1 1 0 1 3 3 2 1 2 2 1 2 3 2 2 2 2 2 2 1 1 1 2 3 2 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 10 8 5 4 3 2 2 1 2 2 2 2 1 1 2 2 2 3 4 5 6 5 4 5 7 9 8 7 8 10 10 9 8 6 5 3 3 3 3 4 5 5 5 5 4 4 4 4 3 2 2 3 5 6 8 11 15 17 16 10 5 2 0 -0 -1 -2 -1 -1 0 2 2 1 -0 -0 1 2 2 1 1 1 1 2 2 2 1 1 1 2 3 3 4 4 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 6 6 7 7 7 10 16 19 15 10 6 5 4 4 6 8 4 2 4 -3 -1 1 3 5 6 5 5 6 7 7 5 4 4 4 5 7 9 9 8 5 5 6 6 3 3 5 6 6 5 6 8 8 6 5 2 -2 -1 2 7 11 3 -1 6 8 7 13 23 14 5 8 5 0 7 11 9 13 14 9 11 13 10 6 4 -2 5 11 7 4 3 6 5 2 7 10 5 3 9 12 9 3 9 19 16 28 28 12 -13 -20 2 27 34 31 24 15 9 7 6 6 12 22 22 10 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 4 5 5 4 5 5 4 4 5 4 4 4 4 4 5 6 4 3 2 3 4 4 4 4 5 5 6 7 9 8 5 4 3 3 4 5 4 3 3 3 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 5 4 4 3 3 3 4 4 5 5 6 6 6 6 6 6 9 15 18 18 14 9 5 3 1 1 3 7 8 7 8 9 9 8 7 6 6 6 6 6 11 15 11 4 5 8 8 8 7 6 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 6 6 5 4 4 4 5 5 6 6 5 3 3 4 6 7 7 7 5 4 3 2 2 2 3 1 1 2 3 2 3 3 2 1 1 2 2 2 2 3 3 3 2 2 2 2 3 4 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 9 8 7 6 5 5 5 5 4 3 2 1 1 1 2 3 3 5 6 5 4 3 4 6 7 8 10 12 11 10 9 8 6 4 4 3 3 4 4 4 5 5 5 5 4 4 2 2 3 4 5 5 6 7 10 15 18 16 11 5 2 1 0 -0 -0 0 1 1 2 1 1 2 3 3 3 2 2 2 2 2 2 2 2 2 2 1 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 7 7 7 8 9 15 17 12 8 6 5 5 5 9 6 2 3 3 -4 -2 1 3 7 12 13 11 10 10 8 6 4 4 5 6 7 9 9 7 5 4 6 5 4 4 5 5 10 12 9 8 4 4 3 1 1 4 -0 -3 -4 -9 -1 11 10 7 14 22 11 3 2 -1 6 16 14 9 6 3 5 10 9 8 10 7 -3 3 15 9 2 -1 -4 -7 -3 6 7 1 3 9 11 8 2 7 13 21 33 25 6 -13 -9 11 25 30 29 22 13 9 8 7 6 10 20 24 13 5 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 4 6 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 4 5 5 5 4 2 1 3 4 4 4 4 5 5 5 9 13 15 12 7 3 3 5 5 5 4 4 4 3 2 3 2 3 3 4 4 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 6 5 5 4 4 4 3 3 4 4 6 6 6 7 6 5 5 7 10 13 16 14 11 8 5 2 -0 0 5 8 6 5 7 8 8 8 8 9 8 7 8 8 11 16 13 7 7 11 12 10 9 7 6 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 6 7 7 8 8 8 8 7 7 7 7 7 6 5 4 4 5 5 5 5 5 4 3 3 4 5 6 8 9 8 7 6 4 2 3 3 2 3 4 3 4 6 4 3 2 2 1 1 2 3 4 4 4 4 4 4 5 5 3 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 9 9 10 9 9 9 9 10 10 8 6 3 1 0 1 1 2 4 5 6 5 3 2 3 5 6 9 11 10 9 8 8 7 6 5 4 3 2 3 4 5 5 5 5 5 4 3 3 4 5 6 6 5 6 7 11 16 19 16 10 6 4 3 3 2 2 1 1 1 1 2 3 4 5 4 3 3 2 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 7 7 8 8 9 9 13 17 14 9 7 5 5 7 8 1 1 6 5 4 6 8 13 17 24 26 21 16 12 8 6 5 4 5 7 8 9 8 7 5 4 6 5 5 7 7 5 8 8 7 7 5 4 2 3 7 9 7 9 2 -6 -0 6 6 3 9 11 2 6 6 4 10 14 10 6 -1 -2 8 14 8 7 12 9 1 0 12 10 4 1 -4 -3 4 5 -3 -6 1 9 8 2 0 5 7 25 35 23 5 -7 1 13 16 18 18 14 9 8 7 5 5 11 23 26 14 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 3 1 1 3 3 3 4 4 4 4 5 8 14 19 18 13 8 6 6 7 6 5 4 3 3 2 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 5 5 4 4 4 5 6 7 7 7 6 5 6 8 10 13 15 13 7 6 6 4 1 2 6 7 5 5 5 6 6 7 7 8 10 10 10 11 12 14 12 9 10 11 13 13 12 10 7 5 3 3 3 3 3 3 4 4 4 4 5 5 5 5 6 6 7 8 8 8 7 7 7 7 8 7 6 5 5 5 5 5 4 5 5 5 4 3 3 3 4 5 8 11 12 12 10 7 5 4 4 5 6 5 5 5 5 4 3 2 2 2 2 4 4 5 5 5 5 5 6 6 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 4 5 6 7 8 9 9 10 13 14 14 12 10 6 3 2 1 1 2 4 6 6 5 3 2 3 3 5 7 8 8 7 7 7 7 6 5 4 3 3 4 4 5 5 6 7 6 5 4 5 6 6 6 5 6 6 8 13 17 17 15 11 8 6 6 4 3 1 -0 -0 0 2 3 5 5 5 4 3 3 2 2 2 2 2 3 3 3 3 2 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 9 9 9 9 10 12 18 19 11 6 5 7 7 0 -4 2 5 5 8 11 13 17 20 25 28 24 16 10 6 5 5 6 7 10 12 9 6 5 5 5 6 5 5 7 7 8 5 3 5 6 4 2 1 4 8 9 8 10 14 16 11 0 -2 -1 5 0 -1 9 14 12 12 10 9 6 1 4 16 21 13 8 11 6 1 5 12 10 8 2 -6 6 17 9 -6 -6 2 5 -1 -3 1 1 3 22 34 23 4 -0 8 13 13 12 11 9 7 5 5 4 5 13 23 18 6 4 6 5 6 5 5 5 4 4 4 4 5 5 5 5 5 5 6 5 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 4 1 0 1 2 3 3 4 4 4 4 4 6 9 14 17 16 11 8 6 6 5 4 4 3 3 3 4 4 4 5 5 5 5 5 6 6 5 5 6 5 5 5 4 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 6 7 7 7 7 7 8 10 11 12 14 13 6 4 6 7 4 3 5 5 5 6 6 5 4 4 4 4 6 9 10 10 10 10 8 7 7 8 9 11 13 12 11 8 5 3 2 2 3 3 3 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 5 5 5 4 4 3 3 3 4 4 8 11 14 15 14 11 9 7 8 11 8 4 3 4 2 1 1 2 2 2 3 4 4 5 5 5 5 6 7 7 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 5 5 6 6 7 9 12 14 14 14 13 10 7 5 3 1 2 4 6 6 5 4 3 2 3 4 5 6 6 6 6 7 7 6 5 4 4 4 4 4 5 7 8 8 7 6 6 6 6 6 5 5 6 7 9 12 15 15 14 12 11 9 5 2 0 -0 -1 -1 1 3 4 5 5 5 4 4 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 5 5 6 5 5 6 7 8 9 9 9 8 10 14 23 21 11 7 7 9 6 -7 -6 2 5 7 10 12 13 14 15 17 18 16 11 6 4 5 6 6 9 13 13 9 5 3 4 6 6 5 4 3 4 8 6 1 5 7 3 1 2 3 5 6 7 5 12 23 19 7 1 -1 4 2 4 10 11 9 14 15 16 10 5 8 17 20 13 7 5 -1 -3 10 14 9 6 -2 -2 13 25 12 -0 -0 1 -4 -6 1 4 -0 3 19 29 21 7 5 12 14 13 11 9 7 7 6 4 3 5 11 13 7 2 9 12 8 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 5 4 4 4 5 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 4 3 1 1 2 3 2 3 4 4 4 4 3 3 4 6 9 11 10 8 5 4 4 4 3 3 3 4 4 4 5 5 5 5 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 6 6 6 7 7 8 9 10 12 13 12 12 11 7 6 7 7 4 1 1 4 5 6 6 6 5 4 3 2 2 4 5 6 6 6 4 2 2 3 5 7 9 11 12 11 9 6 3 3 3 3 3 4 3 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 8 7 7 7 5 4 4 4 5 5 5 5 4 4 4 3 4 4 6 9 12 13 13 13 12 11 12 14 9 7 7 5 2 1 2 2 2 2 3 4 4 5 4 5 6 8 9 7 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 5 5 5 5 4 4 5 8 11 13 14 14 13 12 9 4 2 3 5 6 6 5 4 4 3 3 3 4 6 7 7 7 7 7 6 5 5 5 4 4 6 7 8 9 8 7 7 7 6 6 5 5 6 7 7 7 10 12 14 13 13 11 8 5 2 1 -0 0 1 2 3 3 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 7 8 9 10 9 8 9 11 18 25 20 11 8 8 10 5 -2 2 3 7 8 10 10 9 8 8 8 8 8 5 4 3 5 5 6 10 13 12 8 4 3 4 6 8 8 4 2 5 7 5 3 7 6 3 0 4 6 6 12 11 1 4 13 12 9 5 1 4 5 4 6 6 3 6 16 20 13 10 10 11 12 10 7 3 -4 -4 8 8 5 7 4 2 14 25 9 2 4 3 -4 -3 3 3 2 9 17 19 14 10 10 13 14 12 9 7 5 7 7 4 2 4 7 7 5 6 14 21 15 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 4 5 6 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 5 5 3 3 2 2 2 3 3 3 4 3 3 3 3 3 3 2 3 5 7 6 5 4 4 3 3 4 4 5 5 5 5 5 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 5 5 5 5 4 4 5 6 6 6 6 7 8 10 11 12 12 13 11 11 10 8 7 8 7 4 -1 -2 3 5 5 6 7 7 6 4 3 1 1 2 3 3 3 2 1 0 1 3 4 7 8 9 9 10 10 10 9 7 5 4 3 3 3 3 3 3 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 5 4 5 5 5 5 5 4 4 5 4 4 4 4 5 7 8 9 10 10 10 12 14 15 14 14 13 10 5 2 2 2 3 3 3 4 4 3 3 5 8 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 4 5 6 7 7 6 5 5 4 3 4 5 7 10 12 15 15 15 11 6 5 4 5 6 6 5 5 5 4 4 4 4 6 7 7 7 6 6 5 6 6 5 4 5 6 8 8 8 7 8 8 6 5 5 5 5 6 6 6 7 8 10 11 11 11 11 9 7 5 4 3 2 2 2 3 3 4 6 7 6 6 5 4 4 3 3 3 3 3 4 4 4 4 3 3 3 3 5 5 5 6 6 5 5 5 5 5 5 5 5 6 7 8 9 10 9 8 7 9 14 22 26 20 11 8 9 10 9 13 17 9 7 7 7 6 5 4 5 5 5 5 3 3 3 5 6 8 10 11 11 8 5 4 4 4 7 9 8 8 8 8 7 7 7 8 4 0 4 8 13 21 8 -1 7 7 1 3 4 3 4 5 6 7 6 3 -0 8 6 9 11 10 6 6 7 7 5 2 7 13 7 6 11 8 1 -1 11 10 6 10 8 6 5 5 5 9 13 13 10 8 12 14 14 12 10 8 6 4 7 7 4 1 3 6 7 6 7 14 25 19 7 5 5 6 5 5 5 5 5 5 5 5 5 6 5 4 4 4 4 5 6 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 3 2 2 4 5 6 6 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 5 6 6 6 6 5 5 5 5 6 6 5 5 5 4 4 5 4 5 6 6 6 6 6 8 10 12 12 12 12 10 9 9 9 8 9 9 8 6 2 -3 0 4 4 4 5 6 6 6 5 4 3 2 3 4 4 4 3 2 1 2 4 6 6 6 6 6 9 14 18 16 11 6 3 2 2 2 3 3 3 4 4 4 4 5 5 5 5 5 6 7 7 7 6 6 7 7 6 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 6 6 6 8 10 13 15 17 19 18 13 7 4 3 4 4 3 2 3 3 4 5 6 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 4 7 7 7 7 7 6 6 5 4 3 3 4 4 7 10 13 16 17 15 12 9 7 7 6 6 5 5 5 5 4 5 5 6 6 6 6 5 6 6 6 6 5 5 6 7 7 7 8 8 7 6 5 5 5 5 5 6 6 5 5 6 7 7 8 10 10 10 9 8 7 5 3 2 2 3 3 4 6 6 6 5 5 5 5 4 4 3 3 4 4 4 4 4 4 3 3 4 5 6 6 6 6 5 5 5 5 4 5 6 7 9 10 10 10 7 6 7 11 17 26 27 18 9 6 8 11 13 18 16 10 6 4 4 3 3 4 6 6 6 5 3 3 4 5 7 8 9 10 11 10 7 6 4 4 7 8 9 10 10 7 7 6 7 8 6 4 3 7 16 23 7 0 7 2 -3 1 4 5 6 5 7 8 6 3 1 4 2 7 9 7 4 4 6 8 8 8 15 18 12 9 10 6 -3 -11 -1 5 7 11 8 6 6 5 7 10 12 7 2 4 12 18 16 11 9 7 5 5 6 6 2 1 3 6 6 6 8 14 24 21 8 5 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 4 3 2 4 5 6 6 6 5 6 6 5 5 5 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 4 4 4 4 5 6 6 6 6 6 8 10 13 14 13 10 8 7 6 7 7 8 8 8 8 7 4 2 2 3 4 4 4 4 5 5 6 6 5 5 4 5 5 5 5 5 3 2 4 7 6 4 5 5 7 12 19 22 17 8 3 2 1 1 2 2 3 3 3 3 3 4 4 4 4 5 5 6 7 7 6 6 6 6 6 5 5 6 5 5 5 5 4 4 5 6 5 5 5 4 4 3 4 4 4 5 6 8 11 13 17 20 20 15 9 5 5 4 3 2 2 3 6 7 7 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 9 10 10 8 5 6 7 7 6 6 6 5 4 4 3 3 4 7 10 16 20 21 18 14 11 9 8 6 5 5 6 5 5 6 5 5 5 5 5 6 6 7 6 5 5 5 5 6 6 7 6 6 5 4 5 5 5 5 6 6 6 4 3 3 3 4 6 7 7 8 10 9 6 4 3 3 3 3 3 4 5 5 4 4 4 5 4 4 3 3 3 4 5 5 4 4 3 3 4 5 5 6 6 6 6 6 6 5 5 6 7 8 10 11 11 8 4 4 8 14 23 30 25 13 6 4 5 8 6 5 3 6 4 1 -0 -0 1 4 7 8 7 5 3 3 5 5 6 7 8 8 9 10 9 6 5 8 10 7 7 6 9 7 5 5 6 7 7 6 3 8 12 12 4 5 7 3 1 3 5 6 5 5 6 4 1 -1 5 13 17 12 8 5 2 1 2 3 6 10 15 16 10 5 3 6 1 -8 -2 5 7 7 5 3 6 6 7 9 7 0 -3 4 13 17 16 11 9 8 5 5 6 4 2 2 4 6 5 6 8 15 26 24 10 5 6 6 7 7 6 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 4 3 2 3 3 3 3 3 4 5 5 5 4 3 4 5 6 6 6 6 6 6 6 6 5 6 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 10 13 15 16 15 11 7 7 7 6 6 6 7 7 8 6 3 -0 2 4 4 3 4 3 4 4 4 5 5 5 5 5 6 5 6 6 5 4 5 10 8 2 4 6 6 8 13 18 17 10 5 3 2 1 1 2 3 3 3 3 3 3 4 3 4 4 4 5 6 6 5 6 6 6 5 6 5 5 5 5 5 4 4 4 5 6 6 6 6 5 4 4 4 4 3 3 5 6 7 9 12 16 20 19 15 10 7 5 3 3 3 4 7 8 8 6 6 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 14 17 17 12 8 7 7 7 7 6 6 6 6 5 4 3 3 3 5 9 16 20 20 17 16 13 11 10 8 7 5 5 5 6 6 5 5 6 6 6 7 8 7 6 4 4 3 4 4 4 4 4 3 3 4 4 4 4 5 6 6 5 4 3 2 1 2 3 4 5 7 10 9 6 4 3 3 3 3 3 4 4 4 3 2 3 4 4 3 3 2 3 5 5 5 4 3 3 3 3 4 5 5 6 6 6 6 6 6 7 8 10 11 12 10 5 2 6 13 21 29 30 20 10 6 2 -2 -0 -5 -6 1 4 1 -2 -3 -1 1 5 8 10 10 8 5 4 4 5 5 6 6 5 4 9 9 2 3 11 11 7 5 7 10 7 4 4 4 6 6 5 4 8 7 -2 -0 6 6 6 6 6 5 4 3 4 4 2 -1 -1 7 16 22 16 9 6 3 -2 -7 -3 4 9 12 11 5 -3 -4 8 13 6 2 10 10 3 0 5 9 9 9 8 5 1 2 7 10 13 13 11 10 8 6 6 5 4 2 3 5 5 5 5 9 19 30 25 10 4 6 7 7 7 6 6 5 5 5 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 5 5 4 5 5 5 4 4 4 4 4 4 4 5 5 4 3 3 3 4 4 3 3 3 4 5 5 5 4 4 5 5 6 6 6 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 9 12 15 17 17 16 14 11 10 8 6 6 5 6 7 8 7 5 -3 -5 3 4 4 5 4 4 4 4 4 5 5 4 5 5 5 5 6 6 4 4 7 8 4 5 7 6 6 7 10 12 10 8 7 5 4 3 3 3 3 2 2 3 3 2 2 3 4 3 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 4 3 3 3 4 5 5 6 8 11 15 18 18 16 11 8 7 6 6 6 7 8 8 7 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 12 18 19 16 14 11 9 9 8 7 6 6 6 6 5 4 3 3 3 4 7 11 13 12 13 12 11 11 10 7 5 4 4 4 5 5 5 6 6 7 8 8 7 6 4 2 2 2 2 3 3 3 3 3 3 3 3 3 4 5 6 7 6 5 3 2 2 2 2 3 6 10 11 8 6 4 3 3 3 3 4 4 4 3 3 2 3 3 3 2 2 3 4 5 5 4 3 3 3 3 3 4 4 5 5 6 6 6 7 8 9 11 12 11 7 2 4 13 23 30 31 24 14 9 3 -5 -9 -6 -8 -7 0 1 -3 -4 -3 1 4 6 8 11 13 13 10 6 4 5 6 6 5 4 4 5 5 -2 1 11 12 8 5 11 14 9 6 6 3 4 4 4 7 8 6 -4 4 9 3 4 6 6 6 4 4 4 4 2 0 2 8 13 15 16 13 9 2 -3 -9 0 9 11 9 5 -2 -8 -2 10 13 13 9 10 9 4 -1 2 8 7 11 10 6 9 15 12 8 10 11 10 10 8 6 6 6 4 3 4 6 5 4 5 14 29 33 19 6 5 6 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 4 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 3 4 4 4 4 4 4 4 5 5 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 7 7 6 6 6 7 10 13 16 16 15 15 14 11 10 8 6 6 6 6 7 7 7 7 2 -3 1 3 5 5 5 5 5 5 5 6 5 4 4 4 4 4 5 6 5 4 5 6 5 5 6 7 6 6 5 7 8 9 9 9 7 6 6 6 5 4 3 4 4 3 2 2 2 3 3 4 5 6 6 6 5 6 5 5 5 5 5 5 5 4 4 4 5 5 6 6 6 5 5 4 4 4 4 4 5 5 6 7 9 9 13 17 18 15 14 13 10 9 8 8 7 7 6 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 7 10 15 17 17 15 12 10 10 9 8 7 6 6 5 4 4 3 3 3 3 4 5 6 7 7 8 8 8 6 5 5 4 4 5 5 5 5 6 7 8 8 7 5 3 2 2 2 1 2 3 4 4 4 3 2 1 1 2 3 4 6 7 7 6 4 3 2 2 4 7 10 11 10 7 5 4 3 3 3 3 4 4 4 5 4 4 3 3 2 2 2 3 5 5 4 3 2 2 2 3 3 3 4 4 5 5 6 8 9 10 12 13 9 3 3 12 25 32 30 20 12 11 8 -0 -8 -7 -7 -8 -5 -2 -3 -4 -3 1 4 6 8 9 10 13 16 15 11 7 7 6 4 6 8 8 4 3 1 3 8 10 7 6 12 9 9 9 7 4 2 1 4 8 8 4 5 13 14 7 5 4 4 4 6 7 5 4 4 3 3 7 8 9 13 15 9 -0 -0 0 8 15 16 10 0 -6 -6 5 11 3 3 8 7 8 7 5 6 8 6 8 7 8 17 21 14 9 10 11 10 10 9 8 7 6 4 4 5 6 5 4 7 21 35 28 10 4 5 6 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 3 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 6 5 5 5 6 5 5 6 6 5 5 6 5 5 5 6 6 5 5 6 5 5 5 5 5 5 6 6 5 6 7 7 7 7 6 7 7 5 5 8 12 14 14 12 10 11 11 10 9 7 5 6 6 7 7 7 7 6 0 -3 1 4 4 5 5 6 6 6 6 6 6 5 4 5 4 4 4 5 6 5 6 8 2 1 5 6 7 6 5 5 6 7 8 9 9 9 9 8 8 9 11 10 8 5 3 2 2 2 2 3 5 6 6 6 7 6 5 5 5 4 5 5 5 5 4 4 5 5 5 6 6 5 5 5 5 4 5 4 4 4 4 6 8 9 10 12 15 16 16 16 14 12 11 10 8 7 6 7 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 8 12 14 14 12 11 10 10 10 9 8 7 5 4 4 4 4 3 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 5 4 3 3 3 2 2 3 4 6 5 4 1 -1 -2 -2 -1 1 2 5 7 7 6 4 3 4 6 8 9 9 9 8 7 5 4 4 4 3 3 4 5 6 6 6 5 4 3 2 2 3 4 4 4 3 2 2 3 3 3 3 3 4 4 4 6 9 10 10 13 13 6 1 8 22 32 31 21 8 -0 1 4 6 3 3 -3 -6 -4 -3 -3 -2 0 5 8 9 9 9 10 11 15 19 17 12 10 6 3 9 13 11 7 4 4 3 3 6 7 6 7 5 6 7 9 6 1 0 5 8 5 4 10 10 5 10 6 3 2 2 7 7 4 5 6 4 4 5 5 4 9 12 7 2 2 8 14 15 16 11 1 -4 1 13 15 3 -3 3 10 10 8 9 8 7 15 9 5 13 20 17 11 9 10 12 12 10 9 9 7 4 2 3 6 7 7 5 11 25 33 21 7 4 5 6 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 4 5 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 5 5 6 6 5 6 5 5 5 5 6 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 6 6 5 5 5 5 6 6 5 6 6 7 7 6 6 7 7 7 6 5 6 9 13 14 12 7 4 6 9 9 7 5 5 5 7 8 8 8 8 7 -2 -9 -2 4 4 5 5 6 7 7 8 7 5 5 6 5 5 6 6 6 6 6 6 10 2 -3 4 5 6 6 6 6 6 6 7 8 8 9 10 10 9 10 15 18 16 11 6 3 2 2 2 3 5 6 5 6 7 7 7 5 4 4 4 4 5 5 5 4 4 5 6 6 6 6 6 5 5 5 5 5 4 3 4 5 7 9 9 9 11 13 14 14 14 15 13 12 10 8 6 6 8 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 5 5 6 9 11 11 11 10 9 9 10 11 10 7 5 5 5 4 4 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 7 7 8 7 6 5 6 7 6 5 5 5 5 4 4 3 4 5 6 5 3 -1 -3 -5 -5 -4 -1 1 4 6 6 6 5 5 6 7 7 7 8 7 7 6 6 5 4 4 4 4 4 4 5 7 7 6 5 3 2 3 3 4 4 3 3 2 2 3 3 3 3 4 4 4 7 9 10 12 16 13 3 4 15 24 26 25 18 8 -2 -2 8 16 15 10 -1 -5 -4 -3 -2 1 4 7 8 8 8 8 9 12 17 21 20 16 11 5 3 9 12 10 8 5 3 4 4 6 10 9 5 7 4 4 6 5 0 1 6 7 4 4 3 -1 -1 4 2 0 1 3 6 4 2 3 6 5 4 6 4 2 10 11 6 4 -3 9 16 15 9 4 1 3 7 12 12 7 4 4 11 12 9 7 6 7 15 8 10 17 16 12 9 10 11 12 12 11 9 8 6 3 1 2 6 9 8 7 14 27 29 15 5 5 5 6 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 5 5 5 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 5 6 5 5 6 6 6 6 5 5 5 6 5 6 6 7 7 6 6 6 7 7 6 4 6 10 13 14 12 8 3 4 8 8 6 5 5 5 7 9 9 9 9 9 3 -8 -6 3 5 5 5 5 6 7 10 11 7 5 6 5 5 5 5 6 7 7 7 6 3 -0 3 3 4 5 5 6 6 7 7 7 7 9 10 9 8 8 11 16 19 17 11 6 3 3 3 3 3 4 5 7 7 7 7 6 5 4 4 4 5 5 5 4 4 5 5 6 6 6 7 6 5 5 4 4 4 4 4 3 5 6 7 7 8 9 10 11 12 12 12 12 12 11 9 6 6 8 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 4 4 5 7 10 10 10 9 8 11 15 15 11 8 7 6 5 4 4 4 5 4 4 3 4 3 4 4 5 6 6 7 7 8 9 9 7 5 4 5 5 6 6 5 5 5 5 5 4 4 5 6 6 4 2 -1 -3 -4 -4 -3 -1 1 4 6 6 6 5 5 6 6 6 6 7 7 7 7 7 6 5 5 4 4 3 4 6 7 7 6 4 3 2 3 4 4 4 3 2 2 3 3 4 4 3 3 5 9 11 12 17 19 11 4 9 14 14 16 21 20 14 7 6 11 13 11 3 -5 -7 -4 -2 1 3 6 8 8 7 7 7 10 16 22 24 21 16 9 4 4 8 10 11 10 6 4 4 5 9 9 5 3 6 9 10 3 0 -1 2 6 5 2 2 0 -1 -0 -3 -3 -1 -0 2 4 3 1 2 6 8 7 9 8 5 11 8 5 5 -0 10 8 8 4 1 5 9 11 10 8 6 6 4 4 12 15 7 5 12 6 4 16 17 11 8 8 10 11 11 11 10 9 7 5 2 1 2 6 9 9 8 14 25 25 12 4 6 6 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 5 6 6 5 5 4 5 5 5 4 5 5 5 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 6 5 6 6 6 6 7 7 7 7 6 7 7 5 4 6 10 13 12 11 13 10 6 8 8 6 5 5 6 8 12 13 10 10 9 5 -3 -3 2 5 5 5 5 6 6 8 10 10 8 7 6 6 5 2 4 7 8 8 5 3 2 3 4 4 4 4 5 5 6 7 7 7 8 9 8 7 6 7 9 14 16 15 12 8 5 3 2 2 3 5 6 7 7 7 6 6 5 4 5 4 4 5 4 5 5 5 5 7 7 7 7 6 5 5 4 4 4 3 3 3 4 4 5 6 8 9 8 9 9 9 10 12 13 12 8 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 3 3 5 6 8 9 9 9 12 16 17 14 13 12 11 10 7 6 5 5 5 5 5 5 5 4 4 5 5 6 6 8 9 10 10 7 5 4 4 5 5 5 6 6 6 5 5 5 4 4 5 6 6 4 3 2 1 -0 -2 -1 -0 1 3 5 5 5 4 5 6 7 7 7 7 7 7 8 8 7 7 5 4 4 4 4 4 6 7 6 4 3 2 4 4 3 3 2 3 3 3 4 4 3 4 8 12 14 18 23 21 8 -0 8 11 8 12 18 17 14 14 13 8 -0 -4 -6 -8 -6 -3 -0 2 4 6 7 7 7 7 8 12 20 23 21 16 10 4 5 9 11 11 13 10 7 6 3 2 6 4 -1 5 7 5 4 2 1 1 4 8 3 1 2 2 1 -1 -5 -1 1 -1 2 4 5 3 4 10 11 12 14 10 8 9 5 4 7 10 16 9 3 1 2 10 12 12 10 8 8 7 1 -1 14 18 4 4 9 4 10 22 17 10 7 8 10 11 10 9 9 7 5 3 3 3 3 5 7 8 8 13 24 25 12 5 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 4 5 5 5 5 5 5 4 5 4 4 4 4 3 3 4 5 4 4 5 5 6 5 5 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 7 4 4 7 10 11 9 6 11 13 9 8 8 7 6 5 5 8 14 17 13 9 8 3 -1 1 4 5 5 6 6 6 6 6 7 8 9 8 6 7 6 4 5 5 6 7 6 5 4 3 4 5 5 4 4 5 5 5 6 7 7 7 7 7 7 6 6 7 11 14 16 14 9 5 2 2 2 4 6 7 7 7 6 6 6 5 5 4 4 5 5 5 4 5 5 6 6 7 7 6 6 6 5 4 4 3 2 3 3 3 3 4 7 9 7 7 7 7 7 8 11 12 8 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 4 4 4 3 4 4 5 6 7 8 10 12 12 13 14 15 17 17 13 9 8 7 6 5 5 5 5 5 5 5 5 6 6 7 9 9 8 6 5 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 4 2 1 1 1 2 3 4 5 5 5 6 7 8 8 7 7 7 8 8 8 7 6 5 4 4 3 3 4 6 7 6 3 3 3 3 3 3 2 2 3 3 4 4 4 7 14 17 17 17 18 13 0 -6 5 10 6 8 11 10 10 14 11 1 -11 -12 -9 -6 -4 -1 1 3 5 6 6 6 8 10 13 18 22 19 14 8 3 -0 4 11 9 10 11 8 7 6 4 5 7 4 4 10 8 -2 -5 1 4 4 7 15 7 1 2 4 2 -2 -1 4 4 2 4 6 5 3 7 14 14 15 15 10 7 8 4 2 7 13 15 15 7 -2 0 9 11 8 5 5 9 8 0 2 17 12 3 8 15 13 14 20 17 10 8 10 10 9 8 9 9 7 4 3 3 4 4 4 5 7 8 13 24 27 14 6 7 8 7 6 5 6 6 7 6 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 4 4 3 3 4 5 5 5 5 5 5 5 5 5 4 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 7 6 6 7 7 7 7 7 7 5 5 8 10 11 8 2 4 9 9 8 7 7 6 5 2 1 7 15 14 9 5 1 -0 2 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 6 5 4 4 5 5 6 5 5 5 5 6 6 6 6 6 6 7 7 7 6 7 9 14 17 15 10 5 2 2 3 4 6 7 7 7 6 6 6 5 5 5 5 5 4 4 4 5 5 6 6 6 6 7 7 5 4 3 4 4 3 3 3 3 3 5 6 7 6 5 5 4 4 6 9 8 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 5 5 6 6 6 5 4 4 3 4 4 4 4 4 4 4 5 5 5 6 7 8 9 10 11 11 12 13 14 15 13 11 7 6 6 7 7 6 5 5 5 4 4 4 5 5 6 6 7 7 8 8 8 8 6 4 3 4 4 5 6 7 7 7 6 6 6 6 5 5 4 4 5 5 4 2 1 0 1 1 2 3 4 5 6 7 9 10 9 7 4 2 1 1 2 4 5 4 4 3 3 2 3 11 21 22 15 9 2 -2 -1 2 3 1 8 24 27 17 5 -0 -8 -18 -19 -13 -6 -2 -2 -1 1 3 4 5 5 7 14 21 24 19 11 7 8 12 17 17 14 11 10 9 6 4 9 9 3 2 6 9 11 8 11 12 11 8 3 5 4 5 15 13 8 1 3 5 5 6 6 4 3 6 9 9 6 7 14 11 1 -1 7 7 3 -1 -3 0 4 4 7 7 1 0 5 14 22 10 -9 -8 2 11 16 18 18 17 18 18 15 12 10 10 10 9 7 6 7 8 7 8 8 5 3 3 4 5 5 5 5 4 7 15 22 18 9 6 7 7 6 5 5 6 7 7 7 6 5 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 5 4 4 4 5 5 4 4 3 3 4 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 7 6 6 7 9 12 13 11 10 8 8 7 7 7 6 6 7 7 7 5 2 1 4 5 3 1 2 3 4 5 6 6 7 7 7 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 6 6 6 7 8 6 3 2 2 2 4 5 6 8 9 9 10 13 16 17 13 8 3 2 3 5 7 7 6 6 5 5 5 4 5 6 6 6 5 5 5 5 5 6 7 8 7 5 4 5 6 8 8 7 5 4 3 5 5 6 5 4 4 4 4 5 6 7 7 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 6 7 7 6 5 4 3 3 2 2 3 4 4 5 4 4 4 4 4 4 5 6 6 7 8 10 14 16 17 15 12 7 6 7 7 6 6 5 5 4 4 4 4 5 6 6 7 7 7 8 8 7 5 4 4 4 4 5 6 6 6 6 6 6 7 7 6 5 4 4 4 3 2 -0 -2 -1 -1 0 2 3 4 5 6 7 7 8 8 7 6 3 2 2 3 5 6 7 5 4 2 2 8 21 24 14 6 6 2 1 3 5 4 0 16 26 28 19 9 6 4 -2 -4 -4 -3 -3 -2 -1 2 4 5 5 6 11 20 24 20 13 9 7 6 9 14 15 14 13 11 12 11 7 6 5 4 3 6 14 13 8 3 -0 1 2 2 6 6 5 12 5 2 2 2 6 7 7 5 3 4 8 10 9 7 5 9 10 0 3 13 12 11 5 -0 -0 2 4 6 2 -3 3 10 16 18 8 -5 -4 3 8 11 15 17 17 16 13 9 7 9 10 9 7 6 6 7 7 7 8 7 5 3 2 4 5 5 5 4 4 6 11 16 19 15 9 7 7 6 5 5 6 7 7 6 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 6 5 5 6 5 4 4 4 5 5 4 3 3 3 5 6 6 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 7 6 8 10 13 15 13 10 9 8 7 7 6 6 6 7 8 8 6 5 3 4 4 3 1 2 3 4 5 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 6 5 6 8 9 5 2 2 2 3 4 5 5 6 8 9 10 10 13 17 18 13 7 3 3 5 5 6 6 7 7 5 5 4 4 5 6 6 6 5 5 5 4 5 7 8 7 6 4 4 5 6 9 10 8 6 5 4 5 5 5 4 5 5 5 5 6 6 7 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 7 7 7 7 8 8 6 5 4 3 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 7 10 14 15 13 10 7 7 6 6 7 6 5 5 5 5 5 5 6 6 7 7 7 8 8 7 5 4 4 5 5 5 5 5 5 5 5 6 7 8 8 6 5 3 3 3 1 -1 -1 -0 1 2 3 4 5 5 6 6 6 6 7 8 8 6 5 5 6 8 9 9 7 4 4 8 17 23 16 8 4 -0 -2 4 8 7 2 1 18 16 17 17 1 -7 -4 -2 -3 -4 -5 -4 -1 2 4 5 5 6 8 14 22 22 16 13 13 10 5 4 8 11 13 14 10 11 10 6 4 4 5 8 12 12 6 5 1 1 3 3 4 6 7 7 9 1 0 3 2 6 10 10 8 8 9 11 12 10 6 2 5 11 5 9 15 18 16 6 2 3 5 7 11 10 5 6 8 7 3 -0 1 2 5 5 8 12 14 13 11 10 7 7 9 10 7 6 6 6 7 7 7 8 7 5 2 2 3 5 5 4 3 4 6 8 13 21 22 13 7 7 6 6 5 6 7 7 6 6 5 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 3 4 5 4 4 4 3 4 5 6 6 5 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 4 3 3 3 4 4 4 4 4 5 5 5 5 5 4 4 4 4 5 5 5 6 6 5 5 5 6 6 6 5 5 5 5 4 5 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 10 12 12 16 16 10 8 7 6 6 7 7 6 7 7 7 5 3 3 4 3 -0 1 3 4 4 5 6 7 7 7 7 6 5 6 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 7 8 8 8 6 5 6 9 8 5 3 4 4 4 4 5 5 6 7 9 10 10 10 14 18 18 12 7 5 4 5 5 6 6 7 7 6 5 5 5 5 5 5 6 6 5 4 4 5 6 7 7 5 3 3 4 8 10 12 12 10 7 5 4 5 5 5 5 4 4 5 6 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 9 9 9 9 9 9 9 8 6 4 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 8 11 12 12 10 9 7 7 7 6 5 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 5 5 6 7 8 8 7 5 3 3 2 2 2 2 3 4 4 4 5 6 7 6 6 6 6 8 10 10 9 8 8 9 10 11 9 7 5 8 14 15 7 1 -0 -3 -3 2 10 12 8 0 -4 -3 2 7 10 -11 -22 -21 -16 -12 -9 -5 -1 2 5 6 6 8 10 13 18 20 17 14 16 17 14 5 1 3 7 13 15 11 10 7 2 3 7 7 7 8 3 -1 3 5 7 7 7 5 4 9 11 9 5 3 4 4 5 7 6 6 8 10 11 12 11 6 1 4 7 6 11 17 24 15 3 3 6 9 15 22 21 14 9 6 1 -7 -1 6 5 6 7 9 11 10 10 9 8 7 8 10 9 7 6 6 6 7 6 7 9 8 5 3 2 2 4 5 3 3 4 6 7 12 23 27 15 6 5 6 6 5 6 7 7 6 6 5 5 5 5 5 6 6 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 6 7 6 6 6 6 6 5 5 5 5 5 4 3 4 4 4 4 3 3 3 3 3 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 5 6 6 6 6 6 7 7 7 8 8 8 8 8 9 11 14 10 11 15 11 7 5 5 6 6 7 7 7 6 6 4 2 3 6 4 -1 1 3 4 4 5 6 7 8 8 7 7 6 6 6 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 7 10 8 6 5 6 7 6 5 5 5 5 6 8 10 10 10 12 15 19 18 13 7 5 5 5 5 5 6 6 6 6 6 5 5 4 5 6 6 6 5 4 4 4 5 6 6 4 2 3 6 9 12 15 15 13 9 5 4 4 4 4 4 3 3 5 7 9 10 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 10 10 11 11 11 10 9 7 6 6 5 4 3 3 4 3 4 3 3 4 4 4 4 4 4 3 4 4 5 7 9 12 12 11 10 9 8 7 6 6 6 7 7 6 6 6 7 7 7 7 6 6 5 6 6 6 5 5 5 5 5 5 5 6 7 7 8 7 5 4 4 3 3 4 4 5 6 5 5 6 6 7 7 7 7 7 9 11 12 11 10 10 10 10 9 7 5 5 8 8 2 -6 -9 -10 -8 5 13 16 14 10 4 -5 -15 -2 1 -5 -16 -22 -21 -17 -10 -4 1 4 7 8 8 9 14 20 20 19 17 13 10 12 13 11 5 1 2 6 13 14 13 12 11 6 4 5 4 2 1 -1 -1 2 5 7 10 10 2 2 11 12 8 8 8 6 5 6 5 2 1 4 8 8 8 8 6 5 5 4 7 14 24 25 8 0 3 8 12 20 25 21 13 7 2 -2 -2 5 8 9 13 15 13 9 8 7 5 5 6 9 10 9 6 6 6 6 7 7 8 9 10 8 5 2 2 3 5 4 3 4 6 8 16 27 26 13 3 3 5 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 6 7 7 7 6 5 5 5 5 5 4 4 4 4 4 5 4 3 2 3 7 7 6 6 6 6 5 5 5 5 5 5 4 3 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 3 3 3 3 4 4 5 5 5 5 5 5 6 5 6 6 7 8 8 8 10 13 18 13 7 10 10 6 5 4 5 6 6 6 7 6 5 4 4 5 6 7 4 2 3 4 5 5 6 7 7 8 7 7 7 6 6 6 7 6 6 6 7 6 7 7 7 7 7 7 8 8 9 9 9 8 7 7 8 10 8 5 5 6 7 7 6 6 6 5 5 6 8 10 10 10 13 17 20 18 12 7 5 5 5 5 4 5 5 5 6 6 6 5 5 5 6 5 5 5 4 3 4 5 6 5 3 2 3 6 10 13 14 14 12 7 4 3 2 2 2 2 2 3 5 7 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 5 6 7 7 8 10 11 11 11 12 12 12 12 11 11 10 9 8 7 6 5 4 4 4 4 4 5 5 4 3 3 4 4 5 7 8 9 11 13 13 11 8 8 8 8 8 7 7 7 6 6 6 6 6 5 5 5 5 6 5 5 5 6 7 7 7 7 7 6 7 7 7 8 7 6 5 4 5 6 6 6 6 6 6 7 8 9 8 8 7 8 10 12 11 8 7 6 4 6 12 13 8 4 2 2 3 4 9 9 7 8 6 10 13 10 2 4 15 24 28 21 16 14 15 15 14 12 10 10 12 17 19 16 14 12 13 12 8 8 9 10 11 9 7 4 4 5 8 11 13 12 10 7 0 -0 -1 2 5 6 7 9 8 2 1 3 4 3 5 6 8 7 8 10 10 5 4 8 7 7 6 5 7 12 11 8 8 12 15 13 9 7 6 5 5 -1 2 7 5 0 -2 3 9 2 5 17 18 14 9 4 3 3 3 4 6 6 7 6 5 4 4 6 7 6 6 7 7 8 9 9 7 4 1 1 2 3 6 8 12 14 16 19 14 8 5 4 5 4 4 4 5 5 5 5 5 5 6 5 6 6 6 9 11 10 7 5 5 5 5 4 3 4 4 4 4 5 4 1 -1 -1 3 10 12 10 7 7 7 6 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 4 4 3 3 3 3 3 4 4 4 5 5 4 3 3 3 3 4 4 4 5 7 9 9 7 9 19 20 9 6 7 7 7 6 6 5 5 6 5 5 5 6 9 8 4 3 4 4 4 4 5 6 7 7 7 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 9 8 10 13 12 8 5 5 7 8 8 8 8 7 7 6 6 7 9 11 11 11 13 15 20 22 20 16 10 6 4 4 4 4 5 5 6 6 6 7 8 8 8 7 6 5 4 3 2 3 4 4 3 1 2 4 8 11 13 11 8 6 5 6 5 4 3 3 2 1 1 0 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 6 6 7 8 8 9 10 10 10 11 11 12 11 10 10 10 8 7 6 6 5 4 4 4 5 5 4 4 4 5 5 5 6 8 9 11 13 12 10 9 10 10 10 9 10 9 8 7 7 6 6 6 5 5 6 6 5 5 6 5 6 7 8 8 8 7 6 7 7 7 8 7 6 6 6 7 7 7 6 5 5 5 7 9 9 8 7 6 7 9 9 8 6 5 5 5 5 6 7 6 5 5 6 5 7 7 5 1 5 13 14 8 3 8 19 29 30 25 21 19 18 16 13 10 9 12 15 15 11 8 8 8 9 8 7 10 12 14 14 11 9 6 4 2 2 5 8 9 10 10 6 4 2 5 7 7 11 12 7 2 5 6 4 3 5 7 6 6 9 13 11 8 9 8 4 6 5 4 5 9 11 10 8 5 6 10 12 9 6 8 5 -2 4 8 4 -4 -6 4 10 5 7 13 11 8 4 2 3 6 9 9 7 6 7 6 5 3 3 6 7 7 6 6 5 4 6 11 13 9 4 1 1 4 6 6 7 9 14 18 16 15 12 7 5 5 3 2 4 5 5 5 5 6 5 5 5 6 8 11 12 11 7 5 5 5 5 4 3 4 5 5 4 4 2 -1 -1 1 5 11 14 12 9 7 7 6 6 5 6 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 4 4 3 4 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 4 5 7 9 9 8 8 13 15 9 6 7 6 6 6 7 6 6 6 5 4 6 9 11 7 3 2 4 4 4 5 5 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 8 8 11 14 12 8 6 7 7 7 8 8 7 8 8 8 8 8 9 10 11 11 11 12 16 20 23 22 18 13 8 6 5 4 5 5 5 6 6 7 8 9 8 7 7 7 6 4 3 3 4 3 3 3 2 3 5 8 10 11 8 5 6 6 7 7 6 5 4 3 3 1 0 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 9 8 7 5 4 4 4 4 5 5 5 5 6 6 5 6 6 8 10 11 11 11 13 14 14 13 12 10 8 7 6 7 6 6 5 5 6 6 6 5 5 5 5 6 8 10 10 8 7 6 6 7 7 6 6 7 7 8 9 7 6 4 4 4 6 8 8 8 7 6 6 7 9 9 8 7 7 4 -1 0 5 5 5 6 5 5 8 10 4 -4 7 19 16 6 8 19 22 19 17 16 14 13 11 9 8 8 12 16 16 10 7 8 8 8 8 7 7 8 11 14 15 12 11 9 6 3 -1 2 6 11 11 9 8 7 6 10 11 8 9 9 6 4 5 6 6 4 7 10 7 6 11 16 11 8 10 6 1 2 4 3 5 7 8 7 6 7 8 11 12 9 7 8 2 8 14 8 0 -10 -10 4 13 14 12 8 7 5 2 2 7 12 14 11 7 7 6 6 5 3 4 6 8 8 7 6 5 2 1 5 12 15 11 5 4 5 5 4 4 6 9 11 15 21 21 11 6 6 3 1 2 4 5 6 6 6 5 5 5 6 9 12 12 9 6 5 5 6 5 4 4 4 5 5 4 3 1 -1 0 3 7 13 15 13 10 8 7 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 6 6 5 5 4 4 4 3 4 3 3 3 4 4 4 3 4 4 3 3 3 3 3 4 5 6 8 10 9 8 11 14 10 7 7 6 7 7 7 7 6 6 5 5 6 9 9 4 1 2 4 4 4 5 5 5 6 7 7 8 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 9 9 10 9 7 7 11 12 10 7 7 8 7 7 8 8 7 6 8 9 9 9 10 11 11 11 11 11 13 15 19 21 20 18 15 12 10 9 7 6 5 3 4 5 7 8 8 8 8 8 7 6 5 5 4 4 4 3 3 3 4 5 7 8 8 7 6 5 6 8 8 7 6 6 6 4 2 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 8 7 7 7 6 6 5 5 6 6 6 6 6 6 7 8 9 10 10 9 8 7 6 5 5 4 4 5 5 5 5 6 6 5 4 4 6 8 10 12 15 17 17 14 12 8 5 4 5 6 6 5 5 5 6 7 7 6 6 5 4 5 7 11 12 11 8 6 6 6 7 7 6 7 8 10 10 8 4 3 3 5 6 6 7 8 8 7 7 9 11 10 10 10 9 8 7 6 4 4 5 6 6 6 7 8 -1 -5 7 22 26 23 22 21 12 4 1 1 1 3 3 5 7 12 17 18 13 6 4 7 8 8 8 9 8 6 9 12 15 13 11 9 8 7 3 3 7 10 8 8 10 7 9 14 12 9 9 6 4 4 4 8 8 7 11 11 10 10 13 15 11 9 11 5 1 2 4 6 7 8 8 7 10 14 13 9 7 7 7 6 3 18 16 4 -1 -9 -6 6 16 19 16 8 6 5 2 5 11 16 15 12 9 7 7 5 4 5 5 6 8 8 8 6 5 3 1 1 5 11 14 13 10 6 4 2 3 5 6 7 13 21 20 11 12 13 6 0 0 3 5 6 7 6 5 4 5 7 10 11 10 7 5 5 6 5 5 4 4 4 4 4 3 2 1 1 3 6 11 14 15 13 11 9 7 7 6 6 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 6 7 7 7 7 6 6 5 4 4 4 4 3 4 3 3 3 4 3 3 4 4 3 3 3 3 3 3 3 4 5 8 10 8 6 9 15 12 7 8 7 8 8 7 6 6 6 5 5 6 8 7 -0 -2 3 3 4 4 4 4 5 6 6 7 7 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 9 9 8 6 7 10 10 7 7 7 7 7 8 8 7 6 5 6 8 9 9 10 11 11 11 11 11 12 13 15 16 16 15 16 16 14 13 12 11 8 5 4 5 5 6 8 9 10 10 9 8 6 6 5 5 4 4 4 3 3 4 5 6 7 7 5 5 5 6 7 8 8 8 7 7 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 8 9 10 10 11 11 10 10 10 9 9 8 7 6 5 5 5 5 6 8 9 9 9 9 9 9 9 8 7 7 6 6 5 5 5 5 4 4 4 4 5 6 10 13 12 9 5 3 3 2 3 4 5 5 4 5 6 6 6 6 4 4 4 5 6 8 12 13 11 8 6 7 7 8 8 8 9 10 10 7 5 5 5 5 6 7 7 7 8 8 9 9 10 10 9 9 9 9 7 4 2 4 7 8 8 9 14 13 6 -1 8 22 20 6 -5 -16 -18 -16 -15 -7 4 8 8 11 16 17 12 9 6 5 5 5 3 3 3 5 6 4 7 12 12 11 11 7 6 9 9 4 7 7 6 6 4 5 16 11 4 7 7 2 4 9 10 6 6 10 3 5 18 19 10 6 8 9 6 6 7 7 7 8 8 7 8 11 17 19 13 7 7 12 17 14 17 14 3 11 18 1 -7 5 12 12 13 9 5 5 9 12 13 12 11 10 8 6 4 6 7 8 9 9 9 7 7 6 5 6 6 5 3 3 5 10 12 8 5 4 4 4 3 5 7 10 15 21 18 12 7 4 5 7 8 8 6 5 5 5 5 6 6 6 5 4 4 5 4 4 4 4 3 2 1 1 2 4 7 10 10 10 12 13 12 10 9 9 8 8 7 6 5 6 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 5 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 5 6 7 8 8 9 12 13 9 6 7 7 7 7 7 5 4 4 4 5 7 8 5 1 1 3 4 4 4 4 4 4 6 6 7 8 9 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 9 10 9 7 6 9 9 5 3 4 5 6 7 7 6 5 5 5 4 5 5 7 8 9 9 9 9 10 11 12 13 14 15 15 15 14 14 13 13 12 12 13 14 13 12 10 8 6 6 6 8 8 8 7 7 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan 13 11 7 7 12 17 19 17 14 11 11 6 9 18 17 14 13 13 11 7 7 8 11 15 16 15 10 6 5 9 12 12 11 11 12 13 13 14 14 16 17 17 16 16 16 17 15 13 11 10 11 12 14 15 14 15 17 18 14 10 8 8 9 10 9 8 9 11 12 13 14 15 14 12 12 11 10 10 10 11 13 13 13 13 11 9 9 9 9 10 10 12 13 13 13 14 14 12 12 10 9 6 4 5 8 12 14 15 14 14 14 13 13 13 12 12 12 11 10 11 12 13 13 14 16 17 17 15 12 10 10 11 12 11 11 11 9 11 14 15 16 16 16 14 13 13 11 11 11 12 14 15 16 15 13 12 13 15 15 14 14 13 11 12 14 13 12 13 12 11 10 10 10 12 13 14 14 12 10 6 6 11 21 26 21 18 16 14 13 13 12 12 13 14 16 16 15 13 12 11 13 16 17 16 17 19 20 21 21 20 20 19 19 18 17 17 18 18 17 16 14 14 14 15 17 19 18 16 16 17 17 18 19 19 18 17 18 18 18 17 17 17 18 20 21 19 17 16 15 15 15 14 14 15 15 14 14 14 13 13 13 13 13 13 13 13 12 12 11 11 12 12 12 12 12 13 14 13 13 13 12 12 13 12 12 11 11 11 10 10 10 10 11 11 12 14 16 19 21 19 14 6 1 -0 0 3 4 5 6 7 7 8 8 8 8 9 9 8 9 9 10 9 9 10 10 11 13 13 13 13 12 12 11 11 10 10 9 7 6 7 7 9 10 11 11 11 11 11 11 10 11 12 12 12 12 12 12 12 12 13 15 15 14 13 13 14 14 11 9 6 2 2 5 9 11 12 12 12 12 12 12 13 12 12 12 12 13 16 20 22 19 17 13 13 13 13 12 12 12 12 12 13 15 17 19 19 16 15 14 14 14 14 13 13 12 11 12 11 10 10 10 12 13 13 13 13 13 12 13 13 13 13 12 11 12 13 12 12 13 13 13 13 15 19 24 24 18 10 8 10 12 11 9 10 13 13 13 12 11 13 15 15 15 16 15 15 15 16 16 16 16 16 15 14 13 12 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 9 7 5 6 13 17 17 12 11 13 19 16 9 7 9 13 15 12 10 9 8 9 11 13 13 12 11 10 9 10 13 15 14 12 12 14 16 17 14 11 9 8 9 10 12 16 18 18 19 18 15 10 8 8 10 11 11 12 12 12 12 13 14 18 15 12 11 12 11 10 11 12 15 15 16 15 13 12 11 10 9 10 11 12 12 12 13 13 14 14 13 11 8 7 6 5 7 10 13 15 14 13 13 13 13 13 12 11 11 11 11 12 13 14 14 15 15 15 16 14 11 11 12 12 12 11 11 10 7 10 16 17 17 16 14 13 11 11 12 13 13 13 14 15 16 15 14 13 14 15 15 15 15 14 12 12 13 13 13 13 12 12 11 10 11 12 12 13 13 12 10 5 1 4 16 28 29 27 21 15 13 13 12 12 12 12 13 15 15 15 15 15 14 13 13 14 15 17 17 18 19 20 18 18 18 17 16 15 15 16 17 16 15 13 13 13 14 16 17 16 16 16 15 15 18 21 19 17 17 17 16 15 13 10 9 12 15 18 18 18 17 17 16 15 15 15 15 15 15 14 15 15 15 14 14 14 13 12 12 12 12 13 12 12 13 14 14 16 16 15 14 13 13 12 12 12 11 11 11 12 11 11 12 12 12 13 15 17 18 18 15 10 4 1 2 4 7 8 9 9 9 9 9 10 8 8 8 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 11 10 11 11 10 10 9 8 7 6 7 8 9 10 10 10 10 10 10 11 11 12 12 12 13 12 12 12 13 13 13 14 14 14 15 14 10 5 2 1 2 6 9 11 12 13 12 11 11 13 13 13 12 12 11 11 15 19 23 23 18 14 12 12 13 13 13 13 12 12 13 13 14 14 14 14 13 13 14 14 15 15 14 14 13 12 11 11 11 11 11 12 14 14 13 12 11 13 14 15 15 13 12 11 11 12 12 13 13 14 14 14 16 20 22 20 13 9 9 10 10 9 10 12 12 12 11 12 13 14 14 14 15 15 15 15 15 16 16 16 15 16 16 14 13 13 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 16 11 10 16 15 10 6 8 9 10 10 10 10 12 12 12 13 14 12 11 10 11 12 13 12 10 9 9 12 16 18 14 12 10 8 7 7 8 11 13 12 14 15 15 12 9 9 9 10 12 13 12 12 12 13 14 15 12 10 8 11 11 11 11 14 15 14 14 14 14 13 12 11 10 11 14 13 12 11 11 11 13 14 13 12 9 9 8 7 8 9 11 13 14 14 15 14 13 12 11 11 10 11 13 14 13 13 14 15 14 12 11 11 12 12 14 15 15 13 11 10 8 11 16 18 17 15 13 13 11 10 12 14 15 15 14 14 14 13 13 14 15 15 15 15 15 14 13 13 13 13 13 13 13 12 12 12 12 12 11 12 13 12 11 10 5 2 4 13 22 28 30 26 18 13 12 12 11 11 12 12 14 14 16 16 15 13 12 13 14 15 16 15 16 19 20 20 18 17 18 16 15 16 17 16 16 15 14 13 14 14 15 16 17 16 14 13 16 20 18 16 15 15 14 14 14 11 9 10 11 14 16 17 17 16 16 16 15 16 16 15 15 15 15 15 15 15 15 14 13 12 12 12 12 13 12 12 13 14 15 15 14 14 13 13 12 12 12 12 11 11 11 11 13 13 12 13 14 16 18 17 14 9 4 2 1 4 7 8 10 10 10 9 9 9 10 10 9 8 9 9 9 11 11 12 12 13 13 13 13 13 13 12 12 11 10 10 10 10 10 11 10 9 9 8 7 8 9 10 10 10 10 9 9 10 11 12 13 13 14 14 13 13 13 13 14 15 16 16 15 12 8 5 5 8 11 12 12 12 11 12 12 12 12 12 13 13 13 13 12 12 15 19 22 19 14 12 11 13 13 13 13 13 13 12 12 13 13 13 13 14 13 13 14 14 14 14 13 12 11 10 11 11 11 13 13 13 13 13 12 11 13 16 16 15 14 12 10 10 10 10 11 12 13 14 15 16 16 17 21 17 11 11 14 12 6 7 10 11 11 10 10 12 14 15 15 15 15 15 15 15 15 16 16 16 15 15 14 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 6 11 15 14 13 13 13 11 10 10 10 10 11 12 14 16 15 13 12 13 16 19 19 17 14 11 8 6 5 4 4 3 4 7 9 10 10 9 9 9 10 10 11 11 11 11 12 12 11 9 6 7 9 10 10 12 14 14 12 13 13 13 13 12 11 10 10 11 12 11 9 9 10 12 13 13 12 9 8 8 9 9 9 11 12 13 14 15 14 13 12 12 11 10 10 14 16 14 13 13 12 12 11 11 11 12 13 15 17 15 13 12 10 9 12 16 17 16 14 12 13 13 13 15 16 16 15 14 13 12 13 14 14 15 15 15 15 15 13 13 13 13 13 13 13 13 13 12 13 13 13 12 11 12 12 13 14 12 6 2 2 8 17 34 36 22 14 12 11 11 12 12 12 13 14 15 15 15 14 13 13 13 15 14 13 12 15 22 26 23 18 19 18 17 17 17 16 14 14 14 14 13 13 13 15 16 15 15 14 15 16 17 16 16 15 15 15 15 15 13 11 10 10 11 13 15 16 15 15 15 15 15 15 14 14 14 14 15 14 14 14 13 13 13 13 13 13 14 13 13 13 13 13 13 12 12 12 13 12 11 11 12 12 12 13 14 15 16 16 17 17 15 11 7 4 4 4 6 8 10 10 10 10 9 10 9 8 8 9 9 9 9 10 11 11 12 12 13 14 14 14 14 13 12 12 12 11 11 11 10 10 11 11 12 12 11 9 7 7 8 9 10 11 11 10 11 11 12 12 13 14 14 14 13 13 12 13 15 16 16 14 12 10 8 7 9 12 12 12 11 11 11 12 12 12 12 12 14 14 14 14 13 13 14 19 21 18 15 13 13 13 14 13 13 13 13 12 12 13 12 13 13 13 13 13 14 14 13 13 12 12 10 10 10 11 12 14 14 15 15 15 13 13 14 16 17 15 12 10 9 9 10 11 12 13 13 13 15 18 18 17 18 17 16 13 12 11 9 9 11 12 10 9 10 11 12 13 15 15 15 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 10 12 12 12 12 13 14 15 15 16 19 20 20 18 16 15 15 12 9 6 5 6 6 7 6 4 4 6 8 11 13 13 12 11 10 11 12 13 13 11 8 6 7 8 9 11 13 14 13 12 12 12 12 13 13 13 12 11 11 12 12 11 10 11 12 12 11 11 10 8 8 9 11 11 11 12 13 14 14 13 13 12 12 12 12 13 14 15 14 13 12 10 9 10 13 14 14 15 15 15 14 13 12 10 9 11 14 15 14 11 11 14 16 17 17 16 15 14 13 13 13 13 14 15 15 14 15 16 15 13 13 14 14 13 13 13 14 14 13 13 13 13 13 12 12 12 13 14 14 13 9 3 -1 4 27 39 28 20 14 12 11 12 12 13 13 14 15 15 16 15 15 14 14 15 14 10 5 5 15 28 26 20 22 20 19 18 17 16 14 13 14 14 14 14 14 14 14 14 14 15 14 14 15 15 15 14 14 14 14 13 12 11 10 9 10 10 12 15 15 15 14 14 15 14 14 14 15 15 15 14 14 14 14 14 14 14 13 14 14 14 13 13 12 12 13 13 13 14 13 13 14 14 15 16 17 18 19 20 20 19 17 13 9 7 6 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 13 14 14 14 13 13 12 12 11 12 11 11 11 11 10 11 11 12 12 12 10 8 7 7 8 10 11 12 12 12 12 13 13 13 14 14 13 12 11 11 13 15 14 10 8 8 8 9 9 10 11 12 11 11 11 11 12 12 12 13 13 13 13 14 14 13 14 17 21 22 21 16 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 13 13 13 12 13 13 13 13 14 15 14 13 15 16 14 11 9 10 10 10 10 11 13 14 14 15 14 14 15 16 17 18 16 12 9 8 10 12 12 12 11 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 13 13 13 12 11 11 10 9 8 8 8 8 10 13 15 17 18 18 17 14 11 11 12 13 13 13 12 12 12 12 12 12 11 11 11 11 12 13 12 10 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 0 0 0 0 0 0 0 0 2 4 6 5 3 1 0 0 0 0 0 0 0 4 15 32 47 62 72 72 58 34 13 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 2 6 6 6 7 7 7 8 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 20 8 1 0 0 0 0 0 0 0 0 0 2 6 10 16 21 26 28 25 19 11 4 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 17 34 47 61 76 87 89 85 77 63 48 47 66 82 82 83 107 136 138 124 106 90 87 93 97 94 89 81 65 50 55 74 82 87 102 121 146 171 185 181 167 160 153 156 161 151 142 134 128 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 12 12 11 11 12 13 13 12 11 10 9 8 10 11 12 13 14 15 15 13 11 11 11 11 12 11 10 10 11 12 12 12 12 12 12 12 12 13 13 12 11 9 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 3 1 1 1 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 1 9 26 40 53 60 57 41 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 8 8 8 9 8 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 12 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 12 18 24 24 22 18 12 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 3 18 27 47 72 82 81 80 79 74 70 76 87 96 107 122 137 138 120 100 91 88 94 105 118 125 121 104 84 71 78 94 105 127 146 167 180 189 195 182 164 154 144 148 152 144 131 117 106 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 nan 11 11 10 10 10 11 12 13 14 13 12 11 11 11 12 13 13 13 14 15 14 14 14 13 13 12 12 11 10 10 10 11 11 12 12 12 12 13 12 13 14 13 11 10 10 10 9 8 7 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 2 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 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 4 16 29 37 41 37 24 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 8 8 9 10 9 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 15 20 20 18 15 12 8 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 25 46 69 80 80 78 79 79 78 83 89 94 105 119 125 114 92 80 79 88 105 124 138 143 139 127 117 106 114 129 143 166 172 167 180 188 190 173 151 138 138 141 141 134 120 103 91 84 nan nan nan nan nan nan nan nan nan nan 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 10 10 9 9 10 10 12 12 12 11 11 11 12 12 13 14 15 16 16 17 17 16 15 14 14 13 12 11 11 10 10 11 11 12 12 13 13 13 13 14 14 13 12 12 12 11 10 8 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 2 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 23 24 20 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 9 10 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 13 17 16 15 14 11 8 7 7 6 4 2 0 1 2 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 4 26 61 78 75 72 76 79 80 79 78 81 86 92 99 106 110 103 84 74 77 90 115 140 151 157 157 156 158 166 175 177 187 188 174 162 165 174 179 156 123 117 132 140 137 129 115 98 85 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 10 10 10 9 9 9 10 11 11 10 9 9 9 10 12 13 15 16 17 17 17 16 15 14 14 13 12 12 12 12 12 11 11 12 13 12 12 13 14 14 14 13 12 12 12 12 12 11 9 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 5 6 6 4 3 2 2 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 10 8 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 2 5 8 9 10 8 4 1 2 2 1 0 0 0 0 0 0 0 0 0 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 10 14 16 17 16 13 10 10 11 10 7 6 6 7 8 9 10 9 5 1 0 0 0 1 2 1 0 0 1 14 52 86 96 79 60 64 77 81 79 77 78 80 85 91 96 98 95 84 76 77 91 118 143 158 167 174 179 180 181 186 192 192 168 148 147 150 161 165 142 113 112 130 140 138 130 119 105 93 83 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 7 8 8 8 8 8 9 10 10 9 8 7 7 8 9 10 12 14 15 16 16 15 15 14 13 12 12 12 13 14 14 13 13 14 15 14 13 13 14 15 14 13 12 12 11 12 12 12 11 9 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 4 3 2 2 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 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 4 3 2 1 0 0 0 0 0 0 1 2 1 0 0 1 2 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 17 21 24 24 21 17 15 14 13 12 12 12 13 14 15 15 11 4 1 0 1 6 14 11 6 3 9 27 60 85 103 88 66 59 66 78 82 82 79 79 82 87 90 91 91 87 79 78 89 112 137 156 169 179 184 179 168 167 184 188 160 136 136 144 154 158 142 123 125 136 145 143 138 130 122 113 103 nan nan nan nan nan nan nan nan nan 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 6 6 6 6 7 8 9 8 7 6 6 6 7 8 9 10 12 14 15 14 14 13 12 11 11 11 12 13 14 14 15 16 17 16 15 15 14 15 16 14 12 11 10 10 11 12 12 11 9 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 2 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 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 1 4 6 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 16 23 31 35 33 28 24 20 18 18 19 21 24 25 22 17 13 15 13 14 8 26 34 31 28 21 41 48 66 92 106 101 80 61 58 68 81 89 88 83 83 85 86 87 89 90 84 80 86 103 125 144 159 170 176 171 161 163 184 197 181 151 140 144 154 165 160 144 140 147 154 153 148 143 140 136 129 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 2 2 3 3 3 3 4 5 6 7 6 6 5 5 5 6 6 7 8 10 12 13 14 13 12 11 10 10 9 9 10 11 12 14 14 15 17 17 16 16 16 16 15 12 11 10 9 10 10 11 11 11 9 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 9 7 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 23 32 38 40 40 39 34 29 28 28 32 37 39 37 27 17 21 27 36 35 51 46 42 37 38 48 52 69 92 108 108 94 75 60 60 72 87 93 90 85 84 83 83 86 89 88 85 85 95 111 127 141 151 160 161 154 159 182 198 194 176 161 155 160 174 178 171 165 165 168 166 161 156 156 157 154 152 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 3 2 1 1 1 1 2 3 4 4 4 4 4 3 4 5 5 6 6 8 10 12 14 14 13 12 10 10 9 8 8 8 9 11 12 12 12 14 15 16 17 17 16 14 11 10 9 9 9 10 10 10 9 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 9 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 18 28 40 48 53 54 52 46 39 35 33 38 46 51 52 43 35 36 44 45 47 48 47 46 49 52 59 73 91 107 111 102 89 73 60 61 73 88 95 91 85 83 81 84 90 94 92 86 90 101 110 118 128 138 143 145 152 169 184 190 187 181 172 173 184 189 185 178 173 177 178 173 168 166 169 171 169 nan nan nan nan nan nan nan nan 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 2 1 0 0 0 2 3 3 2 2 2 2 2 3 3 4 4 5 6 8 10 12 14 15 14 12 11 10 9 8 7 8 9 10 10 10 10 11 12 13 13 13 12 11 10 9 8 8 9 8 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 20 36 50 56 59 62 61 53 42 34 38 49 61 79 83 70 60 66 66 60 57 55 53 55 58 61 73 89 103 110 105 102 93 74 63 64 75 91 97 88 85 83 84 91 97 96 91 92 98 103 107 113 121 129 136 145 156 167 177 183 187 188 188 192 194 186 167 168 178 182 181 174 167 169 174 172 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 1 1 1 0 0 0 1 2 2 1 1 0 0 1 1 2 2 3 4 5 6 7 10 12 15 16 15 12 11 10 9 8 7 8 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 3 1 4 10 18 13 9 7 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 4 12 28 44 51 54 62 71 68 58 50 48 51 64 87 101 100 97 95 86 75 68 66 66 68 70 74 84 95 103 107 108 116 116 102 86 77 79 90 99 96 90 90 91 94 98 98 95 96 101 107 111 113 115 121 131 140 146 153 161 170 182 192 198 203 197 192 181 167 174 182 186 174 161 160 161 158 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 9 12 14 15 13 11 10 9 9 8 8 9 9 9 8 8 7 6 4 4 4 5 6 6 6 6 6 6 5 4 5 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 10 7 4 8 14 16 12 9 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 20 36 46 49 59 74 78 71 62 56 56 65 82 96 104 108 107 98 86 81 80 81 83 85 89 95 102 112 114 112 124 133 132 117 103 103 107 107 101 96 97 99 100 100 100 98 98 104 114 122 122 120 120 126 135 140 142 143 152 173 192 201 212 196 182 149 148 149 153 163 162 151 144 140 137 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 nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 6 7 10 12 13 11 10 10 9 9 9 9 9 9 8 7 7 5 4 3 2 2 2 3 4 5 5 6 6 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 5 8 10 9 10 12 12 10 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 38 50 51 56 70 78 73 65 62 66 76 90 97 95 98 97 96 90 90 95 96 97 96 99 104 108 122 128 123 128 141 144 133 120 116 115 112 106 100 100 102 103 102 101 102 101 104 115 126 128 127 124 125 128 132 131 128 135 158 187 200 207 187 163 121 99 99 99 111 129 132 126 123 123 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 5 8 10 10 10 10 9 9 9 9 9 8 7 7 6 6 5 3 2 1 0 0 1 2 4 5 6 6 5 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 6 6 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 40 61 65 62 64 69 67 62 63 71 88 102 102 89 88 88 90 92 99 106 107 106 104 104 107 113 128 140 147 147 146 142 134 126 118 112 114 113 107 103 104 103 100 100 103 103 102 111 122 127 129 128 128 127 128 126 123 127 145 174 195 197 180 151 115 83 64 58 74 102 117 114 114 115 116 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 8 9 9 9 8 8 7 6 6 6 6 5 5 4 2 1 0 0 0 0 0 0 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 4 4 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 36 66 86 78 73 75 73 65 65 72 98 121 123 101 92 92 96 98 100 104 107 109 108 106 106 113 128 145 157 164 164 156 148 144 137 132 132 131 126 123 120 114 103 94 93 98 107 115 114 116 119 123 129 137 140 135 123 116 121 142 168 177 164 147 131 110 86 71 76 84 86 89 92 96 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 12 7 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 7 8 8 8 7 7 6 6 6 5 4 4 2 2 1 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 3 1 2 4 5 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 23 49 78 82 81 87 90 81 76 82 104 126 125 108 97 93 93 96 97 99 102 105 106 104 104 107 118 136 154 166 170 163 151 144 142 138 137 138 132 129 125 119 107 92 86 92 106 120 122 118 115 116 123 133 141 139 124 112 113 131 158 163 144 132 125 117 103 92 85 80 79 82 87 91 92 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 11 12 12 12 9 5 2 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 8 8 9 8 7 7 6 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 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 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 2 3 4 4 4 3 3 2 1 0 1 3 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 32 70 85 86 96 105 103 90 93 114 132 126 110 99 94 91 93 96 97 99 101 101 98 98 98 104 123 147 164 170 169 155 146 147 145 145 142 136 131 126 120 109 95 86 89 102 116 124 124 118 114 116 125 136 138 123 107 106 127 154 150 129 116 108 106 102 95 83 72 69 74 82 88 86 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 4 7 13 18 16 12 7 4 2 2 4 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 7 8 9 9 8 8 7 7 6 6 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 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 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 1 3 3 4 4 4 3 1 0 0 0 4 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 23 61 85 91 99 108 112 103 106 126 137 124 106 99 94 90 91 95 95 95 96 95 91 89 88 90 107 132 154 167 170 160 152 150 148 147 143 138 132 127 122 113 103 94 90 95 105 118 126 124 121 119 121 128 129 116 103 103 123 143 139 119 102 93 92 92 88 76 66 63 68 74 78 75 63 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 0 2 7 12 16 15 11 8 7 6 7 8 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 6 7 8 9 9 9 8 8 7 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 2 4 3 2 0 0 0 9 15 11 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 1 2 5 18 48 79 94 98 102 100 99 110 131 139 120 101 95 91 87 88 91 90 88 87 86 84 82 77 77 91 111 135 158 168 164 157 148 141 140 141 140 137 133 129 125 118 108 96 90 94 111 126 131 132 131 129 125 119 108 96 96 111 129 127 108 90 80 79 79 75 67 59 58 61 64 64 59 48 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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