Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 3 3 2 3 4 4 4 3 4 4 5 5 5 5 3 2 4 6 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4 4 4 3 2 2 3 4 4 4 3 2 2 2 2 3 4 4 3 3 3 4 4 4 4 3 3 3 3 3 3 3 2 2 3 2 2 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 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 6 6 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 6 6 5 4 4 5 5 6 6 7 8 7 7 5 5 5 7 9 10 9 7 4 4 7 11 0 10 11 6 5 6 2 7 12 6 2 3 6 5 3 6 2 1 3 1 -4 5 11 6 3 4 8 5 1 5 11 13 8 3 6 9 7 5 4 3 7 9 3 -1 2 11 11 5 7 6 1 -0 2 4 3 1 1 3 5 3 7 24 39 32 16 9 5 4 3 3 3 3 3 2 2 2 2 2 3 3 4 5 5 4 4 3 4 4 4 4 4 4 4 4 5 6 7 7 9 11 13 17 18 14 9 5 3 3 4 1 -1 2 5 5 5 5 6 6 6 5 3 3 3 4 5 6 8 7 6 4 3 5 12 13 7 5 5 5 5 5 5 4 4 3 3 3 2 2 2 2 1 1 1 1 1 2 2 2 2 3 2 0 -0 1 2 3 4 5 5 5 6 7 8 9 9 10 9 7 5 4 4 6 7 7 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 8 18 29 21 8 5 9 6 0 1 -4 -6 -11 -5 1 -3 -0 4 4 3 1 0 -3 -11 -15 -10 -6 -6 -5 -2 2 4 4 5 6 7 11 16 20 20 13 8 7 8 8 9 10 13 16 19 20 18 18 18 19 15 11 9 8 7 7 9 10 10 8 6 5 6 6 6 6 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 nan nan nan nan nan
nan nan nan nan nan nan nan nan 5 5 3 2 2 3 4 4 4 4 4 5 6 6 6 5 3 2 3 5 7 6 6 6 5 4 4 4 5 6 6 7 8 8 8 8 7 7 7 7 6 5 5 5 4 4 3 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 3 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 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 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 5 6 6 6 5 5 4 4 4 5 4 4 5 5 5 5 6 6 5 5 5 5 6 7 7 6 6 6 6 5 4 5 5 6 6 6 7 7 7 5 4 5 7 10 11 11 9 5 8 14 8 4 12 11 7 2 6 1 1 4 6 6 3 3 9 11 5 3 3 2 -1 -2 8 15 11 6 7 10 8 4 3 6 9 11 9 10 9 8 6 3 4 8 11 8 5 4 3 5 7 8 7 3 3 4 4 3 4 7 8 9 13 21 32 33 21 9 6 4 4 4 4 3 2 2 3 2 2 2 3 3 3 4 4 5 5 4 4 4 4 5 5 4 4 4 5 5 6 6 7 8 10 12 15 16 14 10 6 4 4 2 0 -1 2 5 5 5 5 5 5 4 2 1 2 3 4 6 8 8 6 5 5 4 5 11 12 7 5 5 4 5 6 6 5 4 4 3 2 2 2 2 2 2 1 1 1 1 1 2 2 3 3 2 0 -0 1 3 4 5 5 6 5 6 7 9 10 11 12 11 9 8 5 4 6 7 6 4 4 4 5 5 4 4 4 4 5 5 5 6 5 5 4 5 5 5 5 5 5 5 5 5 9 19 26 23 17 13 7 7 12 7 -2 -0 1 2 -0 2 3 5 8 8 7 4 1 -1 -2 0 -2 -3 -2 0 3 4 5 5 5 5 8 10 13 11 5 5 5 6 6 7 8 10 13 14 14 14 12 9 5 5 5 5 5 7 9 9 9 8 6 5 6 7 6 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 6 4 3 2 3 4 4 4 4 4 5 5 6 6 6 4 2 2 3 5 5 6 6 5 4 4 4 4 5 5 6 6 7 7 7 7 8 8 8 8 6 5 5 5 5 4 3 3 3 3 2 2 4 5 5 4 2 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 6 8 8 6 6 6 6 5 5 5 5 5 5 6 6 7 6 5 4 4 7 10 11 13 8 5 11 16 3 4 9 7 4 1 3 -2 -6 -3 6 10 9 4 11 13 3 4 5 3 -1 1 12 16 14 10 11 12 9 6 9 8 4 7 11 9 6 7 3 -1 5 10 12 10 7 2 -4 -2 5 7 9 10 6 5 5 6 7 8 11 15 25 35 32 19 9 6 5 5 4 3 4 3 2 2 3 3 2 2 3 3 4 4 4 5 5 5 4 4 4 5 4 4 5 5 5 5 5 6 7 8 9 11 12 13 12 8 6 4 3 2 -2 -6 -0 6 6 5 5 5 4 4 4 3 3 5 6 8 8 7 5 5 5 4 3 7 7 3 4 4 1 1 5 6 5 4 3 3 2 2 2 2 2 2 1 1 1 1 1 2 3 3 3 2 1 1 2 4 5 5 5 5 6 6 7 10 13 14 14 13 12 9 6 5 6 7 5 4 4 5 5 5 5 5 5 4 5 5 5 6 5 5 4 4 5 5 5 5 5 5 5 4 4 6 14 20 21 17 8 6 7 4 0 3 5 4 3 4 4 5 6 8 9 7 6 8 6 6 4 3 2 2 4 4 5 5 5 5 5 6 7 7 5 4 5 5 5 5 5 6 7 9 9 9 7 4 3 3 3 4 5 7 8 8 8 8 7 5 5 5 5 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 7 6 5 4 2 2 4 4 4 4 4 5 6 6 6 6 5 4 3 2 3 4 5 5 5 5 4 4 4 4 4 4 5 6 5 5 5 6 6 7 7 7 6 5 5 5 5 4 4 3 3 2 2 3 5 6 5 5 3 3 3 2 3 2 2 3 3 3 4 4 4 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 6 5 6 6 6 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 6 6 7 8 8 7 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 6 5 6 11 5 -1 6 12 5 0 6 7 3 6 5 -3 -8 -2 8 13 11 6 8 6 1 4 8 4 2 5 11 12 11 11 10 11 9 8 12 13 9 7 8 7 8 9 1 -5 3 11 14 12 5 -0 -2 -0 3 7 10 10 7 5 6 6 6 8 13 22 33 34 21 9 5 5 5 5 4 4 3 3 2 2 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 7 8 9 10 11 9 8 5 4 3 2 -3 -4 2 6 6 5 5 5 4 5 5 4 4 6 8 10 8 6 5 5 4 4 3 5 4 0 1 1 -1 1 4 6 5 4 4 3 2 2 2 2 2 2 2 2 1 1 2 3 4 5 5 4 3 3 4 5 5 5 5 5 6 7 9 11 14 15 15 15 13 11 7 5 6 6 4 3 4 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 1 2 6 13 16 10 6 5 2 0 2 5 5 5 6 6 7 7 7 8 7 7 5 3 5 6 6 6 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 4 4 5 5 5 6 7 6 5 3 3 2 2 3 5 6 7 7 6 6 6 5 4 3 4 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 nan 6 6 5 4 3 3 3 3 3 3 3 6 6 6 6 6 6 5 4 3 3 3 4 4 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 4 2 1 2 3 4 5 5 5 5 4 3 3 2 2 2 2 3 4 4 4 3 3 3 3 3 4 4 3 2 2 3 3 3 3 3 4 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 6 5 6 6 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 7 8 8 8 7 6 6 6 6 5 5 5 6 5 6 6 6 5 5 5 4 2 1 6 5 -1 4 8 6 3 5 4 2 12 14 4 -1 1 8 12 8 3 2 3 4 5 6 4 4 7 7 3 1 7 9 9 7 7 8 9 12 11 8 6 6 7 6 1 4 8 11 11 7 3 5 5 5 8 10 9 7 5 4 3 3 7 16 27 30 20 9 4 4 5 4 4 4 4 3 2 2 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 5 6 7 8 9 9 8 7 5 5 5 3 2 4 5 6 6 5 5 5 4 5 5 3 4 6 9 9 7 5 4 4 4 4 4 3 3 2 -1 -1 4 8 7 5 4 4 3 3 3 2 2 2 2 2 3 2 2 2 4 5 7 7 7 5 5 5 5 5 5 5 6 5 5 7 9 12 14 15 15 15 14 12 9 7 6 5 3 2 4 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 3 2 2 2 1 1 -0 -1 -0 -1 -3 -2 2 8 8 5 4 4 4 6 8 8 5 5 7 9 10 11 8 6 8 7 6 6 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 6 6 6 5 4 3 2 2 3 4 5 5 6 5 4 4 4 4 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 4 5 5 5 4 3 3 2 3 2 2 3 4 6 6 5 5 6 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 3 3 3 4 5 5 6 6 5 5 3 2 2 2 3 4 4 5 5 6 5 4 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 3 3 2 3 3 3 3 4 4 4 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 6 5 5 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 4 4 4 5 5 5 5 6 7 8 8 8 7 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 4 5 9 7 3 7 5 1 6 6 1 1 7 11 11 7 3 8 10 4 2 2 4 5 5 5 5 6 8 4 -1 -4 2 7 7 2 -0 3 5 9 9 6 4 0 0 7 10 6 5 7 9 12 11 10 7 8 9 9 9 8 5 3 1 2 7 17 23 17 8 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 5 6 7 8 8 7 6 6 6 5 4 6 6 5 6 5 5 5 5 5 4 3 4 7 9 8 6 5 5 4 5 5 5 4 4 3 -0 1 7 11 8 4 3 3 3 3 3 3 2 3 2 3 3 2 2 3 5 7 8 8 7 5 5 5 5 5 5 5 5 5 5 6 8 10 12 13 13 14 14 13 11 9 7 4 3 3 3 4 5 5 5 6 5 5 4 4 4 4 5 4 4 3 3 2 1 1 -0 -1 -3 -6 -3 -2 -5 -4 -1 2 5 5 5 5 6 9 10 9 4 5 10 8 8 14 13 8 8 8 8 8 7 7 6 6 6 5 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 3 2 3 5 6 5 4 4 4 4 4 5 4 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 4 4 5 4 4 4 2 2 2 2 1 2 3 4 4 4 4 5 6 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 3 3 2 3 4 5 5 5 5 5 5 4 3 3 3 3 3 3 4 5 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 4 5 4 4 5 5 4 4 4 5 5 5 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 4 4 4 5 4 4 5 6 7 8 8 8 8 7 6 5 5 5 5 6 6 5 5 6 6 5 5 4 5 6 9 12 11 7 8 4 -1 2 1 4 8 3 2 7 9 4 10 10 2 3 5 4 3 5 5 5 6 6 2 0 2 2 5 4 -4 -7 3 4 5 3 3 2 2 2 1 5 3 5 5 1 8 11 10 8 7 8 6 6 7 5 3 2 3 9 18 16 8 4 4 4 4 4 4 4 3 4 3 3 4 3 3 3 3 4 4 5 5 4 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 6 7 7 7 7 7 8 6 5 5 6 5 6 6 5 6 5 4 4 4 6 7 8 7 5 5 5 5 5 5 4 4 4 5 4 1 0 4 6 4 3 3 3 3 3 3 4 4 4 4 4 3 2 3 5 7 7 6 6 5 4 5 6 5 5 5 5 6 6 6 7 8 8 9 10 12 13 13 12 10 7 3 2 3 3 4 4 5 5 6 6 5 4 4 4 4 4 4 4 3 2 1 1 2 3 2 -0 -4 -3 -0 -2 -2 1 3 4 5 6 5 5 8 8 6 5 4 6 6 8 13 13 9 7 7 8 8 8 7 6 6 7 6 5 3 2 2 3 3 3 3 4 4 3 3 4 4 5 6 6 6 6 6 6 6 5 5 4 3 3 5 6 6 4 4 4 5 5 5 4 3 3 4 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 5 4 5 4 4 4 3 3 2 1 2 2 2 2 3 3 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 3 3 4 4 5 6 6 6 5 5 5 4 4 3 3 3 3 4 4 4 4 5 5 4 3 4 3 3 3 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 3 4 4 4 4 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 5 6 7 8 8 7 7 6 4 4 4 5 6 5 5 6 6 5 5 5 4 5 6 7 10 11 11 8 5 3 4 6 8 6 2 1 4 6 6 11 8 3 4 6 4 3 6 6 6 6 6 2 4 6 3 5 0 -9 -4 6 8 7 1 0 0 6 7 3 1 1 6 4 -4 1 6 6 5 7 10 7 5 3 2 4 4 7 15 20 14 6 4 4 4 4 4 4 3 4 4 3 4 3 3 3 3 4 4 4 5 5 4 5 5 5 4 4 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 6 6 7 7 7 7 5 6 8 8 7 6 5 5 5 5 5 5 6 7 7 6 5 5 5 5 4 3 3 3 4 6 6 3 1 2 4 3 3 3 3 3 4 4 5 5 6 6 5 3 1 3 5 5 5 4 4 3 4 4 5 5 4 4 5 5 6 6 7 6 6 7 8 10 12 13 13 10 6 3 2 3 3 3 4 4 5 6 6 5 5 5 4 4 4 4 3 2 1 1 0 3 8 7 3 2 1 2 3 2 3 5 4 4 6 6 5 6 6 6 9 6 1 2 5 8 8 7 7 7 7 7 7 7 7 6 7 7 6 4 0 -0 2 4 4 4 3 3 3 3 3 4 5 6 7 7 6 7 6 6 6 5 5 4 4 6 7 7 6 5 4 5 5 5 4 4 4 5 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 4 4 5 6 6 5 5 5 5 4 4 4 3 3 3 4 5 6 6 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 3 3 3 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 5 4 3 4 4 4 5 6 7 7 8 7 7 6 5 4 4 5 6 5 6 6 6 6 5 5 5 4 4 4 5 9 11 8 8 9 10 12 7 5 6 5 4 4 9 11 4 5 5 4 6 5 7 8 6 5 5 5 7 7 6 7 -2 -10 0 6 9 10 7 -0 -1 4 6 5 3 5 10 8 1 -1 4 2 6 10 9 6 5 3 2 5 7 12 20 19 10 5 4 4 4 4 4 4 3 3 4 3 4 3 3 3 4 3 3 4 4 5 5 4 4 5 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 6 7 7 7 6 7 14 15 12 9 7 6 6 6 5 6 6 7 7 6 5 4 3 2 2 2 2 3 5 6 7 7 6 3 2 3 3 3 3 4 4 5 7 8 9 8 5 3 1 1 3 3 3 3 3 3 3 4 5 5 4 4 4 5 5 6 6 6 6 6 7 9 11 13 13 9 5 2 2 3 4 4 4 4 5 5 6 6 5 5 5 4 4 3 2 1 1 4 5 4 7 8 5 5 3 3 4 3 3 4 4 4 4 6 9 8 8 10 13 11 5 1 2 4 6 5 7 7 7 7 7 7 8 7 7 8 9 8 4 2 2 3 4 4 3 3 3 3 3 3 4 5 7 8 8 8 7 6 5 5 5 4 4 6 8 9 8 6 5 4 4 5 4 4 4 5 6 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 3 3 4 4 5 6 6 6 5 5 5 4 4 4 3 3 4 5 6 5 5 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 4 4 3 4 4 4 4 4 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 4 3 3 3 4 3 3 3 3 3 4 3 4 4 4 5 5 6 6 5 5 5 5 5 5 4 5 5 5 5 4 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 4 3 3 4 4 4 6 7 7 7 7 7 6 5 4 4 5 5 6 6 6 6 6 6 5 4 3 3 2 3 6 6 5 8 11 8 5 7 10 11 8 5 4 6 7 5 8 7 5 6 6 7 9 8 5 3 6 5 5 7 8 -1 -4 2 5 9 13 10 -2 3 5 5 6 2 2 7 6 7 2 4 5 10 15 10 5 2 1 2 6 9 15 20 15 7 4 4 4 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 5 6 7 8 14 18 18 17 14 11 9 8 7 6 7 7 6 5 4 2 1 1 2 2 3 3 5 6 6 7 7 6 5 4 3 3 4 4 5 7 9 11 12 10 6 2 -0 -0 1 1 2 2 3 3 3 4 4 5 5 4 4 4 4 5 6 5 5 5 6 8 10 12 12 8 4 1 1 2 3 4 4 4 4 5 5 5 5 5 4 3 3 3 2 1 1 7 13 9 5 6 5 5 4 3 2 3 5 6 6 6 6 9 12 11 12 14 14 15 11 4 3 4 5 5 6 6 6 7 7 7 8 8 8 9 10 11 10 8 5 4 4 4 3 2 2 2 3 3 3 4 5 7 8 9 8 7 5 5 5 4 4 6 8 9 8 7 5 5 5 5 4 3 3 4 6 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 3 2 2 3 3 4 5 6 6 6 5 5 5 5 4 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 3 3 4 4 4 3 3 3 3 4 4 3 3 4 5 5 5 6 6 5 5 4 5 5 5 4 4 4 4 4 5 5 4 4 4 5 5 5 6 6 6 6 6 6 7 6 5 4 3 3 4 4 5 6 7 7 7 6 6 5 5 4 5 5 6 6 6 6 6 7 6 5 4 3 1 1 4 5 5 6 8 5 3 8 10 7 5 2 2 3 5 8 9 7 7 6 7 9 10 8 4 3 5 3 1 4 7 2 1 3 4 10 14 9 -1 6 5 3 5 4 3 2 3 7 3 4 8 14 15 11 7 3 3 4 5 8 15 19 12 5 3 4 3 3 3 4 4 4 4 3 4 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 3 3 3 4 4 5 5 6 7 11 17 19 19 18 16 13 12 12 12 10 8 6 3 2 2 2 3 4 6 9 10 9 8 8 11 12 8 4 4 3 4 5 6 8 11 14 13 10 5 1 -2 -1 1 2 2 3 4 4 4 4 4 5 5 5 4 2 1 3 5 5 5 5 5 6 8 10 10 8 4 1 -1 -1 1 2 4 4 4 3 3 3 4 3 2 1 0 0 0 0 1 6 15 13 6 5 5 5 5 4 2 5 9 12 12 11 10 12 14 13 12 12 11 10 9 6 4 4 4 5 5 5 6 6 7 8 8 8 9 9 10 12 11 9 8 6 5 4 3 3 2 2 3 3 3 3 4 6 8 9 9 8 6 5 4 4 5 6 7 8 8 7 6 6 5 5 5 4 3 4 5 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 4 4 6 6 6 6 5 6 6 5 5 5 5 5 4 4 4 4 4 4 4 3 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 3 3 4 4 4 3 3 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 4 4 4 5 5 5 5 5 6 6 6 7 7 7 6 4 4 3 4 5 5 6 7 7 7 6 6 6 5 5 5 6 6 6 6 6 7 7 6 6 4 3 2 3 7 10 8 5 2 2 5 8 8 6 4 1 1 6 8 9 8 4 5 8 11 14 14 9 3 1 7 11 2 -0 4 2 3 3 3 6 9 4 1 5 5 4 5 9 5 3 6 2 -2 3 8 9 10 10 7 4 8 12 11 11 18 17 9 4 3 3 3 3 4 4 4 4 3 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 3 2 3 3 3 3 4 6 8 10 13 14 16 16 16 17 16 13 12 9 7 6 6 6 7 9 13 16 17 15 14 15 17 15 7 4 4 4 5 5 6 8 12 15 14 9 3 -1 -2 0 3 3 3 3 4 4 4 4 4 4 4 4 4 0 -6 -6 0 5 6 5 5 5 6 7 9 8 6 4 0 -2 -3 -2 0 2 3 3 1 -0 -0 0 -0 -3 -5 -5 -4 -3 -2 4 12 12 6 5 5 5 5 4 4 8 12 14 15 14 11 9 10 11 10 9 8 7 6 5 5 5 4 5 5 5 6 6 7 8 8 9 9 9 10 10 9 7 7 6 5 5 5 3 2 2 3 3 3 3 4 5 7 9 9 9 6 4 4 4 5 5 6 6 7 6 6 6 6 5 5 5 4 4 4 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 3 3 3 4 4 4 4 3 4 3 3 3 3 3 3 3 2 3 3 2 2 2 2 3 4 5 6 6 5 6 6 6 5 5 5 4 4 4 3 4 4 3 3 4 3 4 3 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 4 4 4 4 5 5 5 5 6 6 7 8 8 8 7 6 4 4 4 5 6 6 7 7 6 6 6 6 6 5 5 6 7 7 6 6 6 6 6 6 5 3 5 9 12 11 7 4 -2 3 7 6 -1 6 12 10 4 6 6 8 9 5 4 7 12 15 17 12 3 1 9 14 8 2 3 3 2 4 4 2 1 -3 0 3 8 5 4 8 5 7 8 -1 -8 -1 7 7 7 8 7 5 8 13 16 20 21 14 6 4 4 3 3 3 3 4 4 4 3 3 3 3 3 2 2 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 4 3 3 2 2 2 3 3 3 4 5 6 8 10 12 12 11 11 12 12 13 13 14 15 17 20 20 18 17 18 19 21 19 11 5 4 4 4 5 6 7 8 11 13 13 9 3 -1 -0 3 4 3 3 4 5 5 5 4 4 4 4 4 6 4 -6 -14 -10 1 6 5 5 5 5 6 7 8 9 8 6 2 -2 -5 -6 -4 -2 0 1 -2 -5 -4 -3 -4 -8 -9 -8 -7 -3 2 7 7 5 6 6 6 6 8 10 10 11 10 9 9 7 5 6 7 8 8 7 6 6 5 5 5 5 5 5 5 6 6 7 8 9 9 9 9 10 10 10 8 7 6 6 6 6 5 3 2 3 3 4 4 4 4 6 8 9 9 7 5 4 4 4 4 5 5 5 5 6 6 6 6 6 6 5 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 nan nan nan
nan nan nan nan nan 2 2 2 3 4 4 3 4 4 3 4 4 3 3 3 4 4 4 3 3 3 3 2 2 1 2 3 3 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 4 3 4 4 4 3 3 4 3 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 5 4 4 5 5 5 4 4 4 5 5 5 5 5 6 7 8 9 9 9 9 7 5 4 4 4 5 6 7 6 6 5 6 6 6 5 5 6 7 7 6 6 6 5 6 5 5 4 8 12 11 5 3 3 -2 6 12 8 -3 7 16 14 7 3 1 5 8 8 7 4 5 9 12 12 8 8 8 5 7 5 5 6 3 6 5 1 -1 -3 1 4 8 6 5 4 7 10 8 1 -2 3 6 7 7 7 6 6 8 9 15 23 20 9 4 4 4 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 4 4 5 5 5 5 6 5 5 5 5 5 5 4 3 3 2 2 2 3 3 4 3 4 4 6 6 6 7 9 13 16 19 20 21 22 20 16 12 12 14 15 16 14 7 4 4 4 4 5 7 7 7 8 9 9 8 5 2 0 2 4 2 -0 2 5 5 5 5 5 5 4 5 9 12 6 -4 -9 -3 4 5 5 5 4 5 6 7 9 10 10 10 6 1 -5 -11 -12 -7 -2 -1 -5 -5 -4 -2 -4 -5 -6 -5 0 2 2 4 5 7 7 7 8 14 18 15 11 8 4 3 5 5 5 6 8 8 7 6 5 5 5 4 4 4 5 5 5 5 6 8 9 10 10 10 10 11 11 10 8 7 6 6 7 6 5 4 4 4 4 4 4 4 4 6 8 7 7 5 5 4 4 4 3 3 3 3 4 5 6 6 6 6 6 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 2 2 2 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 2 3 3 4 4 4 5 4 4 3 3 3 3 2 2 2 2 3 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 7 9 10 10 11 10 9 6 4 4 4 6 7 6 5 5 5 5 5 5 6 6 7 8 7 7 6 5 5 5 5 4 5 9 9 5 1 3 5 4 6 8 0 0 6 13 11 10 2 1 3 4 6 11 9 3 1 4 9 13 15 11 2 0 3 5 4 4 8 6 3 3 3 4 7 9 7 6 5 11 12 10 2 7 8 6 6 7 5 5 7 9 7 15 22 14 6 4 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 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 3 3 3 3 4 4 4 4 4 4 4 5 6 7 10 13 16 17 16 13 10 7 6 7 8 8 9 8 5 5 4 4 4 5 6 7 7 6 6 5 4 5 5 1 -2 1 2 -5 -8 -2 3 4 4 4 5 5 6 11 17 16 8 4 1 3 5 5 4 4 4 4 5 6 8 9 11 12 10 5 -6 -15 -15 -8 -4 -3 -2 -2 -0 1 2 3 2 3 5 3 3 6 6 5 5 7 12 19 19 14 9 5 4 4 4 6 8 8 7 5 5 4 4 4 4 4 4 4 4 5 5 6 7 8 9 11 11 11 11 11 10 9 8 6 6 8 8 7 6 5 4 4 4 5 4 5 5 6 6 5 5 5 4 4 4 3 2 2 2 2 4 5 5 5 5 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 1 1 1 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 2 1 1 2 2 2 3 3 4 4 3 4 3 3 2 2 1 2 2 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 3 3 3 4 3 3 4 4 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 6 6 6 6 7 7 8 10 11 12 12 12 10 8 5 4 5 6 7 6 5 4 4 5 5 5 6 7 8 8 7 6 5 4 4 4 4 4 5 9 8 3 1 6 10 11 6 4 -4 4 2 8 9 15 8 6 2 2 4 9 10 6 -0 0 6 12 13 9 4 4 4 0 0 4 8 8 7 6 6 7 8 9 7 5 9 13 8 7 5 9 7 4 5 5 4 5 6 9 12 20 20 9 4 3 3 3 3 4 3 3 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 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 9 8 6 4 4 5 5 5 5 5 6 5 5 4 4 4 4 5 6 6 5 4 3 3 4 7 7 3 2 5 1 -10 -13 -6 1 3 2 3 4 6 10 17 20 10 6 5 4 5 4 4 4 3 2 1 1 2 3 4 7 11 11 4 -6 -11 -8 -3 0 -0 -0 1 4 4 5 5 5 5 5 6 7 6 5 5 2 2 11 16 13 8 5 5 5 5 6 8 8 6 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 9 11 11 11 11 12 11 10 8 7 7 8 9 9 7 6 6 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 2 2 1 1 3 5 4 4 5 4 3 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 nan nan nan 2 2 2 2 2 1 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 1 2 2 3 3 3 3 3 2 2 1 1 2 2 3 3 3 3 4 3 3 3 4 4 4 4 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 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 5 4 4 4 5 6 6 6 7 8 8 9 11 12 14 15 15 13 9 7 5 6 6 7 6 4 3 4 5 5 5 6 7 8 9 8 7 4 3 3 4 4 4 5 7 8 5 6 9 12 11 7 7 13 13 -4 4 14 15 9 8 4 4 4 5 8 5 1 2 6 7 8 6 6 7 3 -1 5 8 9 10 7 2 5 10 10 7 4 4 8 10 4 3 6 9 4 1 4 3 4 5 6 8 16 23 17 7 4 4 3 3 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 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 5 4 4 4 4 4 4 3 3 3 4 5 5 5 5 5 4 4 4 4 5 4 4 5 6 5 5 5 4 4 4 4 4 5 6 5 4 2 2 3 5 10 10 7 11 11 2 -11 -15 -8 -3 -2 -0 1 4 6 11 14 9 3 3 4 4 3 2 1 0 -1 -4 -7 -5 -4 -5 -6 -0 7 8 5 3 4 4 2 1 -0 0 4 5 3 3 5 6 8 9 9 9 10 9 7 1 3 9 8 6 5 6 6 6 7 8 8 6 4 4 4 4 4 4 4 4 4 5 4 5 5 5 5 8 10 11 11 11 11 11 10 8 7 7 8 9 10 8 7 6 6 6 5 5 5 5 6 5 5 5 5 5 5 4 3 2 1 1 2 3 3 3 3 4 4 4 3 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 nan 4 3 2 2 2 2 1 1 1 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 1 2 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 4 4 5 6 6 7 7 7 8 9 10 12 14 18 19 19 16 12 8 6 7 7 8 6 4 3 4 5 4 5 6 7 9 11 10 8 4 3 3 5 6 6 5 6 7 7 9 9 8 8 12 4 10 12 0 -1 10 9 2 6 7 6 3 6 11 2 -0 3 4 5 8 7 3 3 1 5 11 9 10 11 2 -4 2 7 10 6 3 3 6 6 1 -0 6 7 2 -0 1 2 4 6 6 9 19 24 15 6 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 4 4 4 3 4 4 4 3 3 3 4 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 2 3 5 7 7 10 13 9 1 -11 -15 -9 -8 -6 -6 -2 3 5 7 5 3 3 2 2 1 -0 -2 -4 -4 -5 -9 -10 -7 -6 -8 -7 0 6 9 10 9 8 7 5 2 1 6 10 8 5 5 8 11 10 9 8 9 11 10 6 5 8 7 6 6 7 8 7 7 8 7 6 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 6 8 10 10 11 10 10 10 9 9 9 8 9 9 9 8 7 6 6 6 6 6 7 7 6 7 6 5 6 5 4 3 2 2 2 2 2 2 2 2 2 3 4 3 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 nan 5 5 4 4 4 3 2 3 2 2 1 1 1 1 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 1 1 0 1 3 4 3 3 3 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 6 6 7 7 7 7 8 9 10 13 18 23 26 25 21 16 11 8 8 8 7 5 3 3 4 5 4 5 6 8 9 11 12 10 6 4 4 7 7 6 6 5 5 7 9 8 3 6 13 2 0 0 5 -4 4 3 -2 2 7 9 7 7 8 0 -1 0 1 3 8 8 5 1 -0 6 9 5 8 10 1 -5 0 5 8 5 2 4 6 4 -0 -1 4 3 2 3 2 3 4 6 6 11 23 24 12 5 4 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 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 5 4 4 4 4 4 3 3 4 4 5 5 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 2 2 2 1 1 3 7 12 9 5 1 -6 -6 -7 -7 -9 -10 -3 1 4 4 3 2 2 2 0 -1 -1 -1 -2 -2 -1 -3 -3 -0 1 0 2 6 7 7 7 7 6 7 5 5 7 11 15 12 8 9 10 10 9 5 4 7 7 5 6 7 7 6 7 7 7 7 7 7 6 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 6 8 9 10 10 11 10 7 9 10 9 9 9 9 9 8 7 6 6 7 7 8 9 8 7 6 6 6 5 4 3 3 2 2 2 2 2 1 0 1 1 2 3 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 nan 5 5 6 5 5 5 5 4 4 3 3 2 2 2 1 1 2 2 3 4 3 3 4 4 4 4 4 5 4 4 4 3 3 2 1 1 1 1 1 2 3 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 4 4 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 5 4 5 5 5 4 5 5 6 6 6 6 7 7 7 8 12 16 22 27 32 31 25 18 13 10 9 8 6 5 3 2 4 5 5 5 6 7 9 11 13 11 8 6 6 7 6 6 5 4 3 5 8 6 -3 3 8 3 3 3 7 -2 -1 1 2 1 8 12 13 9 6 2 -1 -4 -2 2 5 10 16 7 0 2 4 3 7 8 2 0 2 5 5 3 4 5 5 3 3 2 2 1 3 8 5 5 6 6 6 12 26 24 9 4 4 4 4 3 3 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 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 4 5 5 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 2 2 1 2 6 14 15 8 5 3 2 3 0 -3 -10 -10 -6 -1 2 2 2 2 3 2 2 4 6 4 4 5 5 5 6 7 7 6 7 7 5 5 5 3 2 4 7 7 8 13 13 11 10 9 8 9 6 3 4 5 5 6 6 7 7 7 7 7 7 6 6 5 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 7 8 8 9 11 12 8 7 9 10 9 9 9 9 9 8 7 7 6 7 8 9 9 8 6 6 6 6 5 4 3 3 3 2 2 1 1 -0 -0 1 1 1 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 4 5 6 6 6 6 6 6 6 5 5 4 4 3 2 1 1 1 2 3 3 2 3 3 3 3 4 4 5 5 5 4 4 3 1 1 1 1 1 1 2 3 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 5 4 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 6 6 6 6 7 6 6 10 16 21 25 31 36 35 27 19 14 11 9 8 6 3 2 2 3 5 5 6 7 7 8 10 12 11 9 7 6 5 3 4 5 4 3 4 6 4 -3 2 5 5 7 16 12 3 -4 -2 6 2 7 13 14 10 9 8 3 -5 -4 2 5 12 18 12 5 5 2 2 5 6 5 6 6 4 1 3 6 9 6 2 6 6 2 2 5 8 6 6 8 7 7 13 26 24 9 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 5 5 6 6 6 6 6 6 5 4 4 4 4 4 5 6 7 6 5 4 4 4 5 5 5 5 5 4 4 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 5 12 19 18 10 3 5 8 6 5 0 -5 -8 -8 -4 -1 -2 -1 1 4 4 6 8 7 6 6 6 6 7 7 8 7 6 6 5 7 5 3 -0 2 6 7 7 8 9 9 11 10 9 9 7 4 4 4 5 6 6 7 7 7 7 7 6 5 4 5 5 4 3 3 3 3 3 3 3 4 4 4 5 5 6 6 5 4 5 6 6 7 8 11 10 8 8 9 9 9 10 10 10 9 8 6 5 6 6 7 8 7 6 6 7 6 6 5 3 3 3 3 2 1 1 0 -0 0 1 2 2 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 4 4 4 4 5 5 5 5 5 6 6 6 5 5 4 3 2 2 2 2 2 3 2 2 2 3 3 3 4 5 5 5 5 4 3 3 2 2 2 2 2 2 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 4 4 4 5 4 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 4 3 3 4 4 3 3 3 3 4 4 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 10 19 25 28 30 35 38 35 26 18 13 11 9 7 5 2 2 2 3 5 6 6 7 7 8 9 10 10 9 7 5 2 2 4 5 4 4 4 4 5 2 5 8 5 4 14 13 8 0 -2 5 4 6 8 8 11 10 11 6 -1 -1 2 5 11 11 7 7 8 2 1 5 9 8 7 8 5 -1 3 8 12 10 3 3 5 3 4 7 5 5 6 7 7 9 17 27 21 7 4 4 3 3 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 4 5 5 5 5 5 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 8 14 20 17 10 9 9 7 7 7 5 0 -6 -7 -5 -5 -5 -4 -2 -1 0 4 6 7 5 4 4 5 6 7 7 7 8 8 7 7 7 3 3 5 5 5 6 7 9 13 14 12 10 7 5 4 4 5 6 6 6 6 7 7 6 4 4 4 5 4 4 3 3 3 3 3 3 3 3 4 4 4 5 6 8 8 2 2 5 5 5 6 7 8 8 7 7 7 8 9 10 11 11 9 7 5 5 5 6 6 6 6 7 9 10 8 5 4 4 4 4 3 2 1 0 -0 0 1 2 2 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 4 3 3 3 3 4 4 4 4 3 4 5 5 6 6 6 5 4 4 4 3 3 4 3 2 3 2 2 2 3 4 4 4 5 6 5 4 4 3 2 2 2 2 2 4 4 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 6 6 6 6 6 10 23 35 35 33 34 36 36 30 22 16 13 11 8 6 4 2 2 2 3 5 6 6 7 7 8 8 8 8 8 6 3 2 4 6 5 5 5 5 3 3 3 8 11 7 3 8 12 10 4 3 7 6 5 4 3 9 7 8 8 4 3 2 3 6 4 4 7 7 3 3 7 11 8 5 8 7 2 3 7 10 9 5 3 4 5 7 7 3 3 5 6 7 8 18 27 20 7 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 6 8 11 16 17 16 15 11 8 7 7 6 2 -2 -1 -2 -2 -2 -4 -5 -2 2 5 8 6 2 3 5 6 6 7 10 14 12 9 10 10 7 4 4 4 4 5 7 11 17 18 16 12 8 5 4 5 6 6 5 5 6 6 5 4 3 3 4 5 4 4 4 3 3 3 3 3 3 3 3 3 3 4 5 7 11 6 2 6 6 6 5 5 6 6 6 6 6 6 7 10 12 13 12 9 6 5 5 6 5 5 5 8 12 14 11 7 5 4 4 3 3 3 1 0 0 0 -1 -0 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 5 3 3 3 2 2 3 3 3 3 3 3 4 5 6 6 6 5 5 6 6 5 5 5 4 4 3 2 2 2 3 3 4 4 5 5 5 5 5 4 3 2 1 2 3 3 4 4 4 4 4 4 4 5 6 5 5 4 4 3 4 4 4 4 4 4 3 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 4 4 4 4 4 3 3 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 4 5 6 7 7 7 7 6 21 43 45 33 27 30 30 27 22 18 14 12 9 7 5 3 3 3 3 4 5 6 7 7 7 8 8 8 7 6 5 3 3 6 6 4 7 8 8 5 1 2 9 12 11 9 12 12 5 1 7 11 9 7 4 1 4 4 5 9 7 4 1 2 2 3 5 4 5 2 3 8 9 6 7 10 9 4 3 4 5 5 5 8 9 10 12 4 1 2 5 6 6 7 14 22 22 11 4 3 4 4 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 4 3 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 10 12 15 18 18 12 8 8 9 7 6 7 7 6 5 3 1 2 6 7 7 8 8 9 8 8 6 6 13 16 14 11 11 9 6 4 4 4 4 5 7 13 18 20 17 12 8 6 5 5 6 6 5 5 6 5 4 3 2 3 4 6 5 4 4 3 3 3 3 3 3 3 2 3 3 3 3 4 7 8 6 6 6 6 6 6 6 6 6 6 5 5 6 8 12 16 16 13 7 5 5 6 5 4 4 8 12 15 14 9 6 4 4 4 4 3 0 -1 -1 -1 -1 -2 -0 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 5 4 3 2 2 2 2 2 2 2 2 2 3 4 5 5 5 5 6 7 6 6 6 7 7 5 4 3 2 1 2 2 2 3 3 4 4 5 6 6 5 3 2 2 2 3 3 3 3 3 3 4 4 5 5 5 5 4 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 3 4 4 4 4 4 3 3 3 3 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 8 12 32 46 32 14 9 16 19 18 17 15 12 10 8 5 3 2 2 3 4 4 4 5 6 7 8 7 7 7 6 5 4 3 3 5 5 5 8 11 10 8 5 6 7 8 7 7 12 9 0 -1 5 9 9 8 4 0 3 8 7 10 8 5 5 3 2 3 3 3 3 -0 -0 4 6 6 9 12 9 5 4 2 2 3 6 10 13 14 14 5 0 1 4 6 7 7 10 17 26 18 5 3 3 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 3 3 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 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 4 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 8 13 16 15 12 12 14 12 12 14 12 9 8 9 8 8 11 14 11 10 16 17 13 12 8 5 10 13 10 9 8 7 6 5 4 4 5 5 7 11 17 18 15 12 8 6 6 6 6 5 4 4 5 5 4 3 2 2 4 7 7 5 4 3 4 4 3 3 3 2 2 2 2 2 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 5 5 7 11 16 19 16 10 6 5 5 5 3 4 7 11 14 14 11 7 5 4 5 4 3 2 -0 -1 -2 -2 -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 5 5 5 4 3 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 6 6 5 6 8 8 7 5 3 2 2 2 1 2 2 2 3 3 4 5 6 6 5 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 4 4 4 3 3 4 4 4 4 3 3 4 3 3 3 4 4 3 4 4 4 5 4 5 5 4 4 4 4 5 5 6 6 7 7 7 7 7 10 20 33 27 11 2 -4 3 13 14 14 12 10 8 6 4 3 2 2 4 4 5 5 5 7 8 7 6 5 5 4 3 2 3 4 5 6 5 8 9 5 8 12 11 5 1 3 2 1 3 5 5 5 6 6 9 8 4 10 14 11 11 9 6 8 7 7 2 2 9 7 4 -0 2 5 4 6 7 4 4 5 3 -0 -1 5 11 13 15 13 8 3 1 2 4 6 6 7 16 28 21 5 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 3 3 4 5 5 5 5 4 4 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 9 11 12 12 11 10 12 15 16 12 10 12 13 12 12 14 13 12 16 16 14 12 9 5 5 7 7 6 7 7 7 6 5 4 5 5 6 9 13 14 13 10 8 6 7 7 6 5 4 4 5 5 5 3 2 3 4 7 7 5 3 3 3 4 3 3 3 2 2 1 2 2 2 3 3 3 4 4 5 5 6 6 6 7 6 6 6 5 5 6 9 14 19 18 12 6 5 5 4 3 4 6 9 12 13 11 8 6 5 5 5 5 4 2 0 -1 -1 -1 -1 -0 1 1 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 4 5 5 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 5 6 6 5 7 8 8 7 4 3 2 2 2 2 2 2 2 2 3 3 4 5 5 5 4 3 2 2 2 2 3 3 3 3 3 3 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 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 4 4 3 4 3 3 4 4 4 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 5 6 7 7 8 8 8 9 14 23 27 14 1 5 2 1 11 13 11 10 8 7 5 3 2 2 3 4 5 5 5 6 7 7 6 4 3 2 0 1 2 3 4 5 7 6 6 7 2 4 8 6 7 6 5 -0 -4 1 8 8 5 3 5 9 11 11 14 13 12 10 7 4 6 12 13 4 2 7 8 7 3 5 6 -1 1 4 3 5 7 6 3 -1 3 9 13 15 11 9 4 1 1 1 4 5 3 18 30 18 5 3 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 3 3 4 4 4 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 8 7 6 7 10 12 13 13 13 12 10 9 8 7 7 8 9 8 8 7 4 3 4 5 6 8 9 8 7 5 5 4 4 5 7 9 10 10 9 7 6 6 6 6 5 4 5 5 6 6 5 4 4 5 6 6 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 5 5 6 6 6 7 7 6 5 6 7 9 13 17 19 14 7 4 4 4 4 4 6 7 10 11 10 9 6 5 5 6 6 4 3 1 1 -0 -1 -1 -0 0 0 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 4 4 4 4 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 4 5 5 5 5 7 8 8 5 3 2 2 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 4 4 4 3 4 4 4 4 4 4 4 5 5 4 4 4 5 5 6 6 7 7 8 8 9 12 18 24 23 8 -0 9 9 5 9 11 10 9 7 6 5 2 2 2 2 4 5 5 6 7 7 6 5 3 2 -1 -2 0 2 4 5 3 4 7 10 14 5 5 -1 -5 8 13 8 2 -3 -1 4 5 5 4 4 8 11 13 12 11 11 7 2 1 6 13 12 4 -2 1 4 4 3 5 6 1 2 5 8 7 5 10 9 6 5 7 13 18 12 8 4 -0 -2 0 7 8 5 18 30 16 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 4 5 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 8 9 8 7 5 5 4 2 2 3 3 3 3 4 2 2 2 4 5 8 10 10 9 6 5 4 5 5 5 6 7 7 7 7 7 6 6 6 6 5 5 6 6 6 6 5 5 5 6 5 4 4 3 3 3 2 2 2 1 1 2 2 2 2 2 2 2 3 3 4 4 5 5 6 6 8 7 6 6 7 9 11 13 16 18 14 8 4 3 4 4 5 6 7 9 10 10 9 7 6 5 5 4 4 2 1 1 -0 -0 -1 -1 -1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 6 7 7 6 4 3 3 3 4 4 4 4 5 4 4 4 3 3 4 5 5 5 5 4 4 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 6 6 7 7 8 8 9 12 18 22 21 15 6 5 11 12 9 8 9 9 8 6 5 3 3 2 2 2 4 5 5 7 8 7 6 4 2 0 -1 -1 2 3 3 0 2 6 6 7 11 9 8 -1 -5 3 9 11 5 1 3 4 3 3 2 4 7 10 11 11 12 8 1 -2 1 5 10 8 -0 -1 4 5 2 -2 -1 7 8 6 8 11 5 1 8 12 11 9 7 11 20 19 11 4 -2 -6 2 12 13 7 16 29 19 5 4 5 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 3 4 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 3 4 3 2 3 3 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 3 3 3 2 2 1 2 3 3 3 2 2 1 2 4 7 9 11 10 7 5 5 4 5 4 4 5 6 5 6 7 7 6 6 6 6 5 5 6 6 6 6 5 5 6 6 5 3 3 3 3 2 2 2 1 1 1 2 1 2 2 2 2 2 3 4 4 4 5 5 6 7 7 7 7 9 12 14 16 17 17 15 9 3 2 3 4 5 6 7 8 9 10 10 8 6 5 5 4 3 2 2 1 1 0 -0 -1 -2 1 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 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 6 7 6 5 3 3 4 4 4 5 6 6 6 6 5 4 3 4 4 4 5 5 5 5 5 5 5 4 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 4 3 3 4 4 3 3 3 4 4 3 4 4 4 4 4 4 5 5 5 4 4 4 4 5 4 4 4 4 5 6 7 7 8 8 9 12 20 25 22 14 5 2 8 14 12 9 6 8 9 7 5 4 3 3 2 2 2 4 5 6 7 8 8 7 4 0 -0 1 2 4 5 2 -4 -2 6 6 2 5 10 6 3 1 -1 4 10 4 6 9 7 2 -0 1 5 10 11 9 9 9 6 1 -0 2 5 6 3 -0 5 7 6 3 -5 -3 10 11 6 7 8 1 0 3 7 11 14 14 11 21 26 13 1 -6 -6 6 14 12 7 16 29 21 6 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 5 5 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 3 3 3 4 4 4 4 5 5 4 4 4 4 3 3 3 4 3 3 3 3 4 5 5 4 4 5 5 6 6 5 5 5 5 4 4 4 3 4 3 3 2 2 2 3 3 3 2 2 1 2 3 5 8 10 10 8 6 5 4 4 4 4 4 4 4 5 6 6 5 5 6 6 6 6 6 6 6 6 5 5 6 6 5 4 3 3 3 4 3 2 2 3 2 2 2 2 2 2 3 3 3 4 4 4 5 5 5 6 7 7 8 11 16 19 20 20 19 16 10 3 1 3 5 6 6 7 8 10 10 10 8 7 7 6 5 4 3 3 3 2 1 -1 -2 -2 0 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 4 5 5 6 5 4 4 4 4 4 5 6 7 6 6 6 5 4 3 3 3 4 4 4 4 6 7 7 7 6 4 2 1 2 2 2 2 2 1 1 2 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 4 3 4 4 4 3 4 4 4 3 3 4 4 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 6 7 7 7 8 8 12 22 31 27 17 10 1 -0 9 14 9 4 4 8 9 6 5 4 4 3 2 2 3 4 5 5 7 8 8 6 2 -1 -0 3 4 3 5 7 3 -3 -1 2 4 6 7 3 3 6 1 -0 0 3 8 4 2 1 3 4 7 12 11 9 7 5 4 4 6 6 4 2 1 5 8 4 2 5 -2 -3 12 16 4 4 5 -2 3 4 2 6 10 11 14 26 31 15 -0 -8 -4 9 13 7 6 17 32 23 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 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 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 4 4 3 3 3 2 2 3 3 3 2 2 1 2 4 6 8 8 8 7 5 4 4 4 4 4 4 4 5 5 6 3 3 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 3 4 4 5 5 5 6 6 7 8 12 18 23 24 24 22 17 11 6 4 5 6 7 7 7 8 9 10 9 9 9 9 7 7 7 6 5 4 3 2 0 -1 -1 1 4 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 6 6 6 4 4 4 4 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 5 6 7 8 9 8 6 4 2 2 2 2 2 1 0 1 1 1 2 2 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 3 3 4 4 4 3 3 4 4 4 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 4 4 6 7 8 7 7 9 12 22 35 34 21 9 6 3 11 14 11 5 2 4 8 9 6 4 4 4 3 3 3 3 4 4 6 7 8 8 4 -0 -1 1 4 3 1 3 7 11 9 3 2 4 5 3 1 4 8 6 1 -4 3 9 3 -2 2 4 6 11 12 10 10 9 3 -1 4 10 9 4 -1 -1 6 6 4 6 6 1 -2 12 18 5 2 3 -0 5 3 1 3 7 8 17 32 32 15 -0 -6 -1 10 11 4 4 15 32 25 6 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 3 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 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 4 4 4 4 4 3 3 2 2 2 3 4 4 3 3 2 2 3 4 3 2 2 2 2 3 4 6 7 7 7 5 4 4 3 3 3 3 3 3 5 6 5 3 4 6 6 6 6 6 6 6 5 5 4 4 4 4 5 6 6 5 5 5 5 5 4 3 1 1 2 3 3 4 3 3 3 4 5 5 5 6 7 7 8 12 17 23 27 28 26 22 16 11 8 8 7 7 6 5 6 7 7 8 8 9 9 10 10 9 9 8 6 4 3 2 0 1 2 4 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 6 6 6 6 5 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 3 5 6 6 6 6 6 6 6 5 5 5 6 7 7 8 8 6 5 3 2 2 1 -0 -0 1 1 1 2 1 1 3 3 3 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 4 4 5 7 8 8 8 9 12 20 30 36 28 16 4 -2 5 16 12 3 3 3 5 8 9 6 3 3 4 4 3 3 4 4 5 6 7 7 5 1 -2 0 2 4 4 2 3 5 6 7 7 8 7 4 3 4 7 9 8 6 2 6 10 9 2 -1 1 7 12 11 8 9 9 1 -2 4 7 5 2 -0 2 7 6 6 7 5 0 -1 10 12 4 2 -1 1 8 -0 -1 7 11 8 19 35 30 12 -2 -4 4 12 10 5 3 13 29 24 7 4 5 4 4 5 4 4 4 4 4 4 4 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 4 5 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 5 4 4 3 3 4 4 3 2 1 0 1 2 2 3 3 2 1 2 3 3 3 2 1 2 3 3 4 5 6 6 6 5 5 4 4 3 3 3 3 3 5 8 10 7 4 5 6 6 6 6 6 6 6 5 5 4 4 4 5 6 5 6 6 5 5 5 4 2 0 1 2 3 3 3 2 2 3 4 4 5 5 5 7 8 7 10 14 19 25 30 31 30 25 18 13 9 7 5 4 3 3 3 4 5 6 7 8 9 10 10 11 10 8 6 4 2 2 2 2 3 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 6 5 5 5 5 5 4 4 4 5 5 6 6 5 5 4 3 3 3 3 4 6 7 7 7 7 8 7 6 5 4 4 5 6 7 7 6 5 3 3 2 1 1 2 2 2 1 0 1 2 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 7 9 9 9 10 13 17 22 24 26 22 15 1 -9 -7 -13 -13 -9 1 5 6 8 10 8 4 3 4 4 4 4 4 5 6 6 6 4 0 -1 -1 1 2 4 7 8 6 7 7 5 4 5 6 5 8 10 10 10 13 11 6 7 8 8 4 1 2 7 9 7 6 5 4 1 5 9 4 -1 -1 2 6 11 12 11 12 7 -1 -0 7 9 3 1 -7 -2 14 4 -2 6 8 8 22 35 26 8 -2 -1 7 13 11 6 5 15 27 20 7 5 5 4 4 5 4 4 4 4 4 4 3 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 3 4 5 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 3 4 3 3 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 2 1 0 -0 -0 0 1 2 3 2 1 1 2 2 2 1 1 2 3 4 5 5 5 6 6 6 5 4 4 3 3 2 3 3 5 10 12 10 6 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 4 4 6 5 5 5 4 2 1 1 2 3 3 2 2 2 2 4 4 4 4 5 7 7 8 9 11 13 19 26 32 33 27 19 12 8 6 4 3 2 1 1 2 3 4 4 4 5 6 8 9 9 9 8 7 5 4 4 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 7 7 6 6 6 6 6 7 7 6 6 6 5 5 5 5 6 6 6 6 7 8 7 6 5 5 5 6 5 4 4 4 4 5 5 5 5 4 4 4 3 2 3 5 6 7 7 8 9 9 8 6 4 4 4 4 5 6 6 5 4 3 4 4 3 3 4 4 2 2 2 2 3 3 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 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 6 5 5 5 5 6 9 10 10 12 14 17 16 14 13 14 16 11 -2 -13 -20 -30 -26 -13 -2 7 8 8 11 9 5 4 4 4 4 4 4 5 6 6 4 0 -2 2 4 2 4 4 10 12 7 7 7 6 8 3 1 3 8 10 9 13 18 14 8 7 8 7 3 2 4 7 9 5 4 2 1 4 15 17 6 -1 -1 2 8 11 9 8 13 13 7 3 3 11 13 7 -4 -4 9 10 0 1 7 15 27 30 19 5 -2 1 8 12 9 5 6 17 27 18 6 5 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 2 3 4 5 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 1 1 1 0 1 3 4 3 1 0 0 1 2 1 -0 1 3 5 5 5 5 5 6 6 5 5 4 4 2 2 2 3 7 13 14 9 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 7 6 3 5 6 6 5 5 5 4 3 3 2 2 3 3 2 3 4 5 5 4 5 7 7 8 8 8 9 11 17 23 25 20 13 7 5 5 5 4 3 1 1 1 2 3 3 3 2 1 3 4 6 7 9 9 8 6 5 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 6 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 6 7 7 7 7 8 8 8 6 5 5 6 6 5 4 4 3 3 4 4 4 4 5 5 4 3 2 4 5 6 7 8 9 10 10 9 7 7 5 4 3 3 4 4 4 5 5 5 4 4 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 8 12 10 11 13 13 13 10 7 6 6 8 4 -4 -12 -15 -17 -12 -7 -4 6 9 9 12 10 6 5 3 3 3 4 4 5 5 4 2 -0 1 3 3 2 5 5 9 12 8 7 4 1 2 2 5 8 7 4 5 13 18 15 10 7 6 5 4 3 4 10 13 6 3 3 0 6 18 18 9 2 -1 0 9 13 5 -3 1 12 17 9 4 11 17 14 5 -0 -2 10 10 9 13 20 24 21 10 0 -3 1 8 10 7 3 7 20 29 18 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 2 2 3 5 5 4 3 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 4 3 3 3 4 5 5 6 6 5 4 5 6 6 5 4 3 4 4 4 4 4 4 4 4 5 4 5 5 5 6 6 5 5 5 5 5 4 4 4 4 4 2 2 2 3 3 4 5 5 4 2 -0 -1 0 2 2 -0 -0 3 6 6 6 6 6 6 6 6 6 5 4 4 4 3 5 7 9 10 8 5 5 5 5 5 6 6 6 6 6 6 5 6 6 6 7 8 5 5 6 6 6 6 6 6 4 4 3 3 3 3 3 4 4 5 5 5 5 6 7 8 7 7 7 7 8 10 12 10 7 4 4 6 7 6 5 2 1 0 1 3 4 4 3 1 0 0 1 3 6 8 8 6 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 7 8 8 7 6 7 8 8 7 5 4 5 6 6 5 4 3 2 3 3 4 5 6 5 5 4 3 3 4 5 5 6 7 7 9 11 11 11 9 7 5 3 3 3 4 5 5 4 3 3 5 6 8 7 6 4 3 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 9 13 12 11 10 8 7 7 8 8 11 15 11 3 -3 -5 -4 -2 0 1 7 10 11 11 10 7 6 4 3 3 3 3 3 3 2 1 1 2 3 3 5 5 4 6 10 7 6 6 1 -2 3 6 5 3 -1 1 8 12 12 12 9 4 4 6 7 6 10 12 5 2 6 4 9 14 13 6 3 1 2 7 8 2 -4 -1 9 13 10 7 7 9 9 7 5 -5 5 17 21 21 18 15 8 -0 -2 -2 1 7 9 6 3 8 22 27 14 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 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 2 2 2 4 5 5 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 4 4 3 3 4 5 5 6 5 5 4 5 5 5 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 4 5 5 5 4 4 4 4 4 3 3 4 5 6 6 7 7 6 5 2 -1 -1 2 3 1 0 3 6 6 6 7 6 6 6 7 7 6 6 7 8 8 7 6 6 6 7 5 4 4 4 5 5 6 6 6 6 6 6 6 5 6 6 7 6 6 6 6 6 6 6 6 5 4 4 3 3 3 4 4 5 5 5 5 5 6 6 6 8 9 7 5 4 4 3 3 3 4 5 6 7 6 5 3 0 -1 0 3 4 5 5 4 1 -1 -1 -0 2 5 5 5 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 6 6 7 7 7 7 6 6 6 7 6 5 6 6 6 7 7 7 7 6 7 8 8 5 4 4 5 7 6 4 3 2 3 3 4 6 6 6 5 4 3 3 3 4 4 4 4 5 6 9 10 11 12 11 10 7 6 5 4 4 4 3 2 4 6 8 8 7 6 5 4 2 1 1 0 0 1 1 2 2 3 3 3 3 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 12 16 14 8 5 4 5 8 11 13 24 36 28 17 9 6 5 7 10 12 13 13 11 10 9 8 7 4 3 3 2 1 1 2 2 2 2 2 3 7 10 8 4 4 7 5 1 9 10 8 7 1 0 -3 -4 2 7 7 11 14 9 5 8 10 7 3 7 7 4 5 7 8 12 16 13 4 2 1 2 4 3 -2 -2 6 5 5 11 7 3 6 9 7 8 -3 -5 10 26 26 14 4 -5 -5 -1 -1 3 10 10 7 5 7 18 26 15 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 2 2 3 5 6 5 5 3 3 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 4 5 5 4 5 4 4 4 4 4 3 4 4 4 5 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 3 3 4 4 4 3 4 5 5 4 3 3 4 4 4 4 3 4 4 4 4 6 7 8 8 8 9 10 9 5 1 -1 0 1 1 1 4 7 7 7 7 7 6 5 6 7 6 6 8 12 11 8 6 6 7 6 5 5 4 4 4 4 5 6 6 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 5 5 8 10 8 5 4 2 1 -0 -0 1 3 4 4 4 3 2 1 -0 0 1 3 4 4 3 1 1 0 1 3 5 5 4 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 7 8 7 6 7 8 8 6 4 3 4 6 7 6 4 3 3 4 4 5 5 5 5 5 4 3 3 3 4 4 3 4 4 5 7 9 10 12 13 13 11 9 6 4 2 2 3 4 6 7 6 5 5 4 3 1 -0 -1 -1 -1 -1 -0 1 1 2 1 2 2 2 3 3 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 8 10 14 18 19 12 4 3 4 6 8 11 14 25 43 34 23 17 14 13 16 20 23 21 15 10 8 8 9 7 6 5 4 1 0 2 4 4 3 3 4 3 4 8 11 8 8 8 4 4 7 7 7 6 8 15 -1 -3 5 6 5 11 13 7 5 12 12 6 3 3 4 9 12 9 6 9 17 16 5 -0 -1 1 5 5 -0 6 12 4 9 17 6 -1 10 17 12 11 4 -5 8 28 22 7 -7 -12 0 6 3 7 11 8 6 5 6 14 26 21 7 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 3 3 3 4 6 6 6 5 4 3 4 5 5 6 6 6 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 3 2 2 3 3 3 3 3 3 2 3 4 4 5 4 4 3 3 3 3 3 4 5 5 4 3 3 4 4 4 3 3 3 4 4 5 6 7 7 8 9 11 15 15 10 4 -0 -1 -0 -0 1 6 8 7 7 8 8 6 5 5 6 5 5 8 12 12 8 7 8 8 6 6 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 7 6 6 7 7 6 7 7 7 6 5 5 5 4 4 4 4 5 6 6 5 5 6 8 9 7 6 3 1 -1 -1 -0 1 2 3 3 2 2 2 2 1 1 2 2 2 2 1 1 1 3 6 8 7 5 3 2 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 7 5 4 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 6 7 7 7 7 7 8 7 6 4 3 5 7 7 5 4 4 4 5 4 5 5 5 5 5 4 4 4 4 4 4 4 3 3 4 5 7 9 12 14 14 13 11 6 2 2 3 4 5 5 4 3 3 3 2 1 -1 -1 -1 -1 -1 -1 0 0 1 1 1 1 2 2 2 3 3 4 4 4 4 4 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 5 5 5 5 7 7 8 8 11 17 21 20 15 8 3 2 4 6 9 8 8 18 28 22 17 15 14 13 16 20 24 22 15 9 8 8 8 7 7 7 5 1 1 4 6 6 2 3 6 6 4 4 9 11 13 10 5 4 -1 -2 3 10 22 22 3 2 7 6 5 10 9 4 8 14 10 5 5 3 7 15 16 10 7 6 11 11 1 -0 3 4 6 2 4 14 13 7 13 15 5 2 10 15 15 13 15 7 19 29 16 -5 -17 -7 15 20 16 16 13 8 5 5 6 13 25 23 9 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 5 4 4 5 5 5 5 4 4 4 4 4 4 6 7 6 4 3 3 4 5 6 7 8 9 7 6 5 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 1 1 2 2 3 3 3 3 3 3 4 5 5 5 4 3 3 3 3 3 4 5 5 4 3 3 4 4 4 3 3 3 4 4 5 6 6 6 8 9 12 17 19 15 7 1 -2 -2 -2 1 5 7 7 7 8 8 8 7 6 5 4 5 7 11 13 8 7 9 8 8 7 6 6 4 3 3 3 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 6 6 5 5 4 4 5 5 5 6 6 5 4 5 8 9 9 6 3 1 1 2 2 3 3 3 2 2 2 3 2 1 1 1 2 1 1 1 1 2 4 8 9 7 4 3 3 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 8 6 4 4 3 3 3 3 4 3 3 3 3 2 3 3 3 4 5 7 7 7 7 8 8 7 5 4 5 7 8 7 6 5 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 4 3 3 4 5 7 8 11 13 14 14 12 6 3 3 4 4 3 2 2 2 2 2 1 0 1 2 2 2 1 1 0 0 1 0 1 1 1 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 6 7 8 8 8 12 19 20 15 9 6 3 3 3 6 8 7 6 10 6 4 3 4 4 5 8 12 15 15 12 9 8 8 7 7 7 7 6 3 3 5 6 6 2 3 6 9 9 7 8 9 9 5 2 1 -0 4 2 3 14 8 1 6 8 7 6 12 9 2 5 6 7 9 8 7 11 15 13 10 10 10 9 4 -5 3 11 7 6 3 5 4 1 7 11 5 4 8 11 10 5 9 18 17 28 27 8 -15 -17 7 29 32 28 23 15 9 6 5 5 12 23 24 11 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 6 6 4 2 3 4 4 6 8 10 10 8 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 2 2 3 4 3 4 4 4 5 5 5 5 5 4 4 4 3 3 4 5 5 4 3 3 4 4 4 3 3 3 4 4 5 5 6 6 7 9 12 14 16 15 11 4 -0 -2 -3 1 4 5 6 7 8 8 8 8 8 7 6 7 8 12 15 10 7 10 11 10 8 8 7 5 4 3 2 3 3 3 4 4 4 5 5 5 5 6 7 6 7 7 7 7 7 7 8 8 7 7 6 6 6 5 5 5 4 5 5 6 5 4 3 5 8 10 9 8 5 4 4 4 4 3 2 2 2 2 2 2 1 0 1 1 1 2 1 1 2 3 6 8 8 6 4 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 9 9 8 7 6 6 6 6 6 6 6 5 4 3 3 2 2 2 3 5 6 6 6 6 7 8 8 8 6 6 8 10 11 9 7 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 4 3 4 5 6 7 8 10 13 16 16 12 7 4 4 3 2 1 1 1 1 1 2 3 4 5 5 5 4 3 1 1 1 1 1 1 1 2 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 9 9 10 17 19 13 9 6 4 3 5 8 8 7 8 7 -2 -5 -5 -2 2 5 6 6 7 7 7 7 7 8 7 7 7 7 6 4 3 4 6 5 3 4 7 9 13 14 10 8 5 2 1 1 3 8 0 -4 -0 -5 -1 8 9 5 6 16 13 6 3 2 8 14 11 9 9 8 6 8 7 9 12 4 -5 5 16 9 4 3 -2 -6 -2 7 6 -1 2 8 10 8 2 6 12 22 33 23 2 -13 -5 15 26 28 26 20 12 9 7 5 5 10 21 25 13 4 5 5 5 5 5 4 4 4 4 4 5 5 5 4 4 5 5 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 5 5 4 3 2 2 3 4 6 9 11 11 9 7 5 4 3 3 4 5 4 4 4 4 4 4 3 4 4 4 4 3 4 4 3 3 3 3 3 3 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 4 3 3 3 4 4 5 5 6 6 7 8 9 11 12 11 11 8 4 -0 -3 -2 2 5 5 6 7 7 7 8 8 9 9 9 9 12 16 11 6 7 11 11 11 9 8 7 5 3 2 2 3 3 3 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 8 8 7 6 6 7 7 5 4 4 4 5 5 5 5 4 3 4 8 11 11 10 7 5 5 4 3 2 1 1 2 2 2 0 0 0 1 2 2 1 1 1 2 5 7 7 6 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 8 9 9 9 9 10 10 9 8 5 3 2 2 2 3 5 6 7 6 6 7 9 9 9 8 11 13 12 10 9 7 4 4 4 4 4 4 5 5 4 4 4 4 5 6 6 5 4 4 5 6 6 7 8 10 14 17 17 13 9 5 3 2 2 2 1 1 2 3 5 6 6 6 6 5 4 3 2 2 2 2 1 1 2 3 3 3 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 9 9 15 19 15 11 6 3 4 7 10 5 5 8 6 1 0 0 4 9 13 12 7 4 4 5 6 7 7 7 6 6 6 5 4 4 3 5 4 5 8 10 8 8 8 8 7 6 5 3 2 5 8 8 11 2 -7 -3 2 5 4 5 11 8 8 9 8 11 12 9 7 5 2 5 11 7 3 13 10 1 4 13 8 3 3 -1 -1 4 4 -3 -6 -1 6 6 1 0 4 8 25 33 19 3 -4 4 14 16 16 15 12 8 7 6 4 5 10 23 28 15 4 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 4 5 5 4 3 2 2 3 4 4 6 8 10 11 11 8 6 5 3 3 4 5 4 4 5 5 4 4 4 3 4 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 4 5 5 4 4 4 4 4 5 5 5 6 6 6 6 7 8 11 11 7 8 10 9 5 -1 -3 1 5 5 5 6 6 7 7 7 8 9 8 8 9 10 8 3 4 7 8 9 9 10 9 6 4 3 2 3 3 4 4 3 4 4 4 4 4 5 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 6 4 4 4 5 5 5 5 4 3 3 4 8 12 14 12 10 7 4 3 3 2 2 2 3 2 1 0 2 2 1 1 1 1 0 2 4 6 6 7 6 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 6 6 7 8 8 9 9 9 10 13 14 15 11 7 4 2 2 2 3 5 6 6 6 6 8 9 10 11 12 12 9 8 8 7 5 4 4 4 5 5 5 5 4 4 4 4 5 6 6 5 4 4 4 5 7 8 8 8 10 14 17 17 13 8 5 3 3 2 2 2 2 3 5 7 6 6 6 5 5 4 3 3 2 2 2 2 2 3 3 3 2 2 2 3 3 3 3 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 6 7 8 9 9 9 9 10 13 20 20 11 6 4 7 9 4 -0 3 5 5 6 7 9 12 17 21 18 10 5 4 4 5 5 5 6 6 6 5 5 4 4 3 4 4 5 9 12 13 4 3 7 6 5 4 2 3 7 9 9 12 10 11 8 1 3 5 7 2 2 5 8 9 15 15 14 9 4 3 11 19 15 5 9 9 3 6 12 8 5 2 -2 7 16 9 -4 -5 1 4 -1 -3 0 3 6 23 30 18 4 1 9 13 13 11 9 7 6 5 5 3 4 13 24 20 7 5 7 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 2 1 2 3 4 5 5 7 10 11 12 11 9 6 4 4 5 4 4 4 4 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 5 4 5 5 6 6 6 6 6 6 6 5 9 12 7 6 8 10 9 1 -3 -1 3 4 5 5 5 6 6 7 6 6 6 5 4 5 3 0 1 3 4 5 6 7 9 10 9 7 5 4 4 4 3 3 3 3 3 3 4 4 5 6 6 6 6 6 6 7 7 8 7 7 7 7 7 7 5 4 4 4 5 5 5 5 4 4 3 4 8 13 15 16 14 10 5 3 3 2 2 3 2 1 1 1 2 2 2 2 1 1 2 5 6 6 7 6 4 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 5 5 5 6 7 7 7 7 8 11 15 17 17 14 8 5 3 2 2 4 5 6 5 5 6 7 8 9 9 7 5 5 6 6 5 4 4 5 5 5 5 5 5 4 3 3 4 4 5 5 4 4 4 5 6 8 8 7 8 10 14 16 15 12 8 5 3 3 3 2 2 3 4 5 5 6 6 6 5 5 4 4 3 2 2 3 3 3 3 2 2 2 3 3 3 3 3 4 4 4 5 5 4 4 4 4 4 4 5 5 5 6 6 7 9 9 9 8 9 10 15 25 23 12 6 6 10 9 -4 -5 3 6 6 9 12 14 18 24 28 24 15 10 7 5 4 2 1 3 5 5 5 4 4 4 4 3 3 4 3 9 14 6 1 7 8 5 2 1 3 6 7 8 4 8 19 20 11 6 4 5 2 4 6 5 8 16 16 14 8 6 10 16 19 15 6 3 -0 -1 11 15 8 2 -4 -2 16 31 16 2 1 1 -4 -6 1 5 4 8 20 25 17 7 7 12 14 12 10 9 6 6 6 4 2 4 10 14 8 4 10 13 8 6 6 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 4 2 1 1 3 4 5 5 5 6 8 11 14 15 14 9 6 6 6 7 6 6 5 4 4 4 3 3 3 3 4 4 5 6 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 7 6 6 6 5 6 10 11 8 6 7 8 7 2 -3 -2 2 4 4 4 5 5 5 5 5 5 5 4 4 3 3 2 1 1 2 2 3 4 5 7 10 12 12 11 8 5 3 2 3 3 3 3 3 3 4 5 6 6 6 6 6 6 7 7 7 6 6 6 7 7 6 5 4 4 5 5 5 5 5 5 4 4 5 7 12 17 20 20 15 9 7 5 5 3 2 1 1 1 2 3 3 3 2 3 4 5 6 7 6 5 5 6 5 5 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 4 5 5 5 5 5 6 7 9 13 15 16 13 10 7 4 3 3 4 5 6 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 4 3 3 3 3 3 3 3 3 4 6 6 7 7 7 7 9 12 13 13 11 7 5 4 4 4 3 3 3 3 4 5 5 5 6 6 5 5 4 3 2 3 3 3 3 3 2 2 3 3 4 3 3 4 4 4 4 5 5 4 4 4 4 5 5 5 6 7 7 8 9 9 7 7 9 12 19 27 22 11 7 8 11 7 -1 1 4 7 8 10 12 14 18 24 32 31 23 16 12 8 5 4 1 3 6 5 4 4 4 4 5 5 6 4 1 3 8 6 3 7 7 5 1 1 4 4 10 11 0 -0 9 12 11 5 1 2 4 7 9 7 4 7 9 5 3 8 12 12 10 9 8 7 1 1 11 10 5 4 -1 -0 15 25 11 7 8 3 -4 -3 4 7 7 12 17 17 13 10 12 13 13 11 9 7 5 5 6 3 1 3 6 7 5 7 15 22 15 6 5 5 5 5 5 5 5 6 5 5 5 5 5 4 5 5 5 4 4 5 4 5 4 5 5 5 5 5 5 4 5 4 5 5 5 6 6 6 7 6 6 6 5 2 2 1 2 3 4 4 4 5 5 6 8 12 16 17 13 10 9 8 8 7 6 5 4 3 3 3 3 3 4 4 5 6 6 6 6 6 5 5 5 5 4 5 4 4 3 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 7 7 6 6 8 11 10 7 7 8 8 7 4 0 -1 3 3 2 3 3 4 4 5 6 6 5 5 5 5 5 4 4 3 3 3 3 3 4 5 6 11 17 21 16 9 4 2 2 2 3 2 3 3 3 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 7 11 17 22 22 18 15 13 10 9 7 5 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 6 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 4 4 4 4 4 4 4 4 4 4 6 9 12 14 14 12 9 6 4 4 5 5 4 4 4 3 3 4 5 5 5 5 4 5 5 6 5 4 4 5 6 7 7 6 5 4 3 2 2 2 2 2 3 5 6 6 6 7 7 7 8 10 11 10 9 7 6 6 6 5 4 3 2 3 3 4 5 5 5 5 5 4 4 3 3 4 4 3 3 3 3 3 4 4 3 3 3 4 4 5 4 5 5 4 4 5 4 5 6 7 8 9 9 9 7 5 6 10 15 24 28 20 11 8 9 10 10 11 14 6 5 7 8 8 10 12 17 25 29 26 19 14 9 7 9 7 6 6 5 4 3 4 5 5 8 9 8 6 4 5 6 7 7 7 4 1 3 4 5 15 8 -4 3 7 3 4 3 1 4 6 8 8 4 -0 -2 0 -2 5 9 9 7 5 7 11 14 10 13 16 8 8 9 2 -2 2 4 5 11 13 8 8 7 7 9 12 13 12 9 8 12 14 13 11 9 7 6 5 5 5 2 0 2 5 6 6 8 15 27 20 7 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 5 5 5 5 4 5 5 5 5 5 6 6 6 6 6 5 4 3 2 2 2 2 3 3 4 4 4 4 4 5 8 11 13 14 12 9 8 7 7 6 5 4 3 3 3 4 4 5 5 5 6 6 6 5 5 5 5 5 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 6 6 6 7 6 6 7 7 8 9 9 9 11 12 10 8 8 9 9 8 7 5 2 3 3 2 3 3 3 4 4 4 5 5 6 6 7 6 6 5 6 4 3 3 4 4 4 5 7 14 22 22 13 6 2 1 2 2 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 5 5 5 7 7 6 5 6 6 6 5 5 5 5 5 5 6 6 6 10 15 18 19 17 16 15 14 15 15 14 11 9 7 6 5 5 5 4 5 4 3 3 4 5 7 7 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 2 2 3 4 4 4 4 4 4 3 3 4 4 6 10 13 13 13 11 9 7 6 5 5 5 4 4 3 3 3 4 4 5 5 6 6 6 5 4 4 4 4 6 7 7 6 6 5 3 2 1 1 1 2 3 5 5 5 6 7 7 7 7 8 8 8 7 7 7 7 6 4 3 2 3 3 3 3 4 5 5 5 4 4 3 4 4 4 4 3 3 3 4 4 4 4 3 3 3 4 5 5 5 5 4 4 4 4 5 7 8 9 9 10 8 5 4 6 12 19 28 28 17 8 6 8 12 11 13 9 3 4 5 5 5 5 6 8 14 19 18 15 11 8 7 10 11 9 6 6 4 3 4 5 7 8 8 8 10 8 4 7 7 5 5 5 3 4 3 8 19 7 -1 8 5 -1 1 3 5 7 6 7 5 -1 3 1 -3 0 8 9 7 4 5 8 12 14 13 17 18 12 10 8 3 -7 -10 -0 2 6 12 10 8 6 5 8 11 10 6 2 6 13 16 14 10 8 6 5 5 6 5 1 -0 2 6 7 7 8 15 25 22 9 5 5 5 5 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 5 5 5 4 3 2 3 3 3 2 2 3 3 4 5 4 4 4 4 6 8 9 9 8 7 6 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 5 5 4 4 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 7 9 10 11 13 14 14 13 11 9 9 10 11 10 9 9 6 3 3 4 4 3 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 4 5 5 5 8 14 18 15 8 3 1 1 1 3 3 4 3 3 3 3 4 4 4 4 5 5 6 5 5 5 5 6 6 6 6 5 7 6 6 5 5 5 5 5 6 6 6 6 7 7 8 11 12 13 14 16 17 18 22 22 16 10 7 6 5 5 5 4 4 4 3 3 5 8 8 7 6 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 4 3 4 4 3 4 4 4 3 3 6 8 11 13 14 14 14 11 8 7 6 5 5 4 4 3 4 4 4 5 6 6 5 5 5 4 4 4 4 5 6 7 7 6 5 3 1 1 1 1 2 4 4 4 6 7 7 6 5 6 6 7 7 7 8 8 6 4 2 2 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 3 3 3 4 4 5 5 5 4 5 4 4 5 6 8 9 9 10 9 5 3 4 9 16 25 31 25 12 4 3 5 8 2 -1 -3 -0 4 4 3 3 4 4 5 8 10 10 8 7 6 5 6 8 8 6 6 6 4 4 6 9 9 4 4 8 8 4 6 6 4 4 4 5 4 5 12 15 2 4 10 5 3 4 5 8 8 5 6 4 1 4 6 4 5 5 5 5 5 6 7 8 9 11 14 14 9 3 2 7 -1 -12 -1 6 6 10 8 3 6 9 10 8 4 -2 -2 7 14 16 14 10 8 7 5 5 6 4 1 1 4 6 7 6 7 14 26 25 11 5 5 5 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 3 2 2 2 3 3 4 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 8 10 12 14 17 17 16 13 12 10 9 8 10 11 10 9 8 3 3 4 4 5 5 4 5 5 5 5 4 4 5 6 5 5 5 6 6 6 7 9 6 2 3 5 4 5 7 9 10 9 6 4 2 2 2 4 4 4 3 2 2 2 3 3 3 4 5 6 5 5 5 6 6 5 5 5 6 6 6 6 5 5 5 5 6 5 6 6 7 6 5 4 4 6 8 10 12 13 15 22 26 22 14 10 8 7 6 6 5 4 4 4 4 6 7 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 5 4 3 4 4 3 3 3 3 3 4 4 4 4 4 4 6 7 9 12 16 19 18 15 11 9 9 8 7 6 5 5 5 5 5 5 5 5 5 5 6 6 5 4 4 5 6 6 6 6 4 2 1 1 2 3 3 3 3 5 7 7 6 5 4 5 5 6 7 8 8 6 3 2 3 3 3 2 3 5 5 4 3 2 3 3 4 4 4 4 3 3 4 4 4 4 3 2 3 4 4 5 5 5 4 4 4 5 6 7 9 9 10 10 7 3 2 7 15 23 30 29 18 9 4 1 -1 -1 -8 -10 -4 1 2 2 2 3 5 7 8 9 8 7 6 5 4 4 5 6 6 5 5 6 6 3 6 12 9 3 3 7 9 6 4 3 1 3 3 4 4 7 13 3 -4 6 6 6 6 5 5 7 6 4 4 4 2 2 7 11 8 1 1 3 3 6 3 1 4 9 11 9 3 -4 -0 14 15 1 0 9 10 7 2 4 13 16 11 4 -2 -2 4 10 11 13 11 9 8 7 6 6 6 4 2 3 5 6 5 5 8 18 30 25 10 4 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 4 4 3 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 6 6 6 5 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 7 7 7 6 6 8 11 14 17 20 20 17 13 11 10 10 8 7 8 9 9 8 7 6 4 2 3 4 5 4 4 4 5 6 5 5 6 6 6 5 4 5 5 6 7 8 7 4 4 4 4 3 4 5 7 7 7 7 7 5 4 5 6 5 3 2 1 2 2 3 3 3 4 5 5 5 5 6 6 5 5 5 5 5 5 5 6 5 6 6 6 5 5 6 6 6 5 4 4 4 5 7 8 8 12 18 22 22 19 14 10 9 8 8 7 6 5 6 8 8 7 8 8 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 11 10 10 9 8 6 4 3 2 3 4 4 4 4 4 5 5 5 6 8 12 17 17 16 14 12 12 12 11 9 7 6 6 5 5 5 5 5 5 6 7 8 8 7 6 6 5 5 5 5 5 4 3 2 3 4 4 3 3 4 6 6 6 4 4 4 5 5 6 7 8 7 6 5 5 5 3 3 4 6 6 6 4 3 2 3 4 4 3 3 3 2 3 3 4 4 3 2 2 3 4 5 5 4 4 4 4 5 7 9 9 10 11 10 5 2 5 15 25 31 30 22 13 8 3 -5 -9 -7 -11 -10 -2 1 0 -0 2 4 7 10 11 11 8 6 5 5 4 5 6 7 6 4 3 3 3 -2 3 14 10 5 6 13 12 7 5 3 1 2 3 5 8 10 8 -2 5 13 5 7 7 4 3 4 5 4 3 2 -1 3 15 22 14 2 1 2 -0 3 0 2 6 8 7 3 -4 -6 6 19 15 8 6 9 9 2 -3 4 11 10 11 4 -1 8 18 14 9 9 9 8 8 8 6 6 6 4 3 4 5 5 4 4 12 27 32 19 6 4 5 6 7 6 6 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 7 10 14 17 20 22 19 16 12 11 10 8 6 6 7 7 7 7 6 7 3 1 3 3 4 4 4 5 5 6 7 7 6 7 7 6 5 5 5 6 7 7 7 6 6 5 4 3 4 4 6 7 8 8 8 7 6 6 7 7 7 5 4 3 3 2 3 3 3 4 5 6 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 5 5 5 4 4 5 5 5 8 10 13 14 17 19 18 14 11 10 9 9 9 11 13 14 13 9 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 13 14 14 15 15 14 11 8 6 3 3 4 4 5 5 5 6 6 5 5 7 9 10 10 10 10 10 11 11 11 10 8 6 5 5 5 5 6 6 7 8 10 10 9 7 6 6 5 4 4 5 5 4 4 4 6 5 3 3 3 5 6 6 5 4 4 4 4 5 6 7 8 9 9 8 7 5 4 5 7 8 7 6 4 5 5 4 3 3 2 2 3 2 3 3 4 3 3 3 3 4 4 4 4 4 4 4 6 8 9 9 11 12 8 2 3 13 27 34 31 20 12 12 8 1 -8 -8 -9 -11 -7 -3 -1 -1 1 4 8 10 13 15 12 9 7 6 5 4 4 5 6 9 9 5 2 0 -3 1 10 10 8 9 14 11 9 6 5 3 2 2 7 13 10 3 4 15 16 10 11 8 3 2 3 5 3 2 0 1 11 27 29 15 3 4 4 2 2 0 7 11 12 9 1 -6 -4 7 8 -3 -1 8 11 12 5 3 7 8 7 9 2 3 20 26 16 9 9 9 9 8 8 7 7 6 4 4 5 5 5 4 6 18 32 27 11 4 4 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 6 6 8 12 15 16 18 18 17 14 13 12 9 6 5 6 6 6 7 7 6 2 1 2 3 4 4 4 5 5 6 7 7 8 7 7 7 7 6 5 5 6 7 8 10 6 4 5 4 4 3 4 5 6 7 8 8 8 8 8 8 8 10 12 11 9 6 3 2 2 2 3 4 5 6 6 6 6 6 6 5 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 9 9 10 14 17 17 13 11 11 9 10 13 18 20 17 9 7 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 10 13 14 16 19 19 17 13 8 5 4 4 4 4 5 6 6 5 5 4 4 4 4 4 5 5 6 7 9 10 9 8 6 5 6 7 8 8 9 9 10 10 10 8 6 6 6 5 5 6 6 5 5 5 6 5 3 2 3 4 6 6 5 5 4 4 4 4 5 5 7 9 10 10 9 8 7 7 8 8 7 6 6 7 7 6 5 3 3 3 2 2 3 3 4 4 4 3 3 3 4 4 4 4 4 4 7 8 9 9 12 12 5 1 9 24 33 32 23 8 1 2 5 6 3 2 -4 -7 -5 -3 -3 -1 4 7 11 12 15 17 15 10 7 6 5 5 4 4 4 9 11 8 3 1 0 2 5 10 9 5 6 7 7 7 9 6 1 1 5 10 6 3 9 13 8 9 8 6 3 3 6 5 2 2 2 5 19 34 30 12 1 6 6 3 0 3 10 12 15 11 2 -3 -0 7 7 0 -1 5 14 13 7 7 6 6 15 9 3 11 23 22 13 9 9 10 10 9 8 9 7 5 3 4 6 6 5 4 10 24 32 21 7 4 4 5 6 7 6 6 6 6 5 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 3 3 4 4 5 4 4 4 5 5 6 6 5 5 4 3 4 4 4 4 4 4 5 5 5 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 6 5 5 5 5 5 5 5 5 6 10 13 14 13 12 10 11 12 13 13 8 5 6 6 6 6 7 8 7 1 -4 0 4 4 4 4 5 6 7 9 9 6 6 6 6 6 6 6 6 6 7 8 11 6 2 5 5 4 3 4 4 5 5 6 8 8 8 9 9 8 10 14 17 17 12 6 3 2 2 3 4 5 5 6 7 7 6 6 6 5 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 4 5 7 8 10 15 18 16 13 11 10 10 12 14 17 15 10 7 8 9 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 5 7 8 10 14 18 21 20 16 10 6 4 4 4 4 4 5 5 5 4 3 4 3 3 3 3 3 4 6 8 8 8 8 7 7 9 10 9 8 8 7 8 8 6 5 6 6 7 7 7 7 7 6 5 5 5 3 2 2 2 3 4 5 5 4 5 4 3 4 5 6 7 9 10 10 9 9 9 9 9 8 7 7 7 8 8 7 5 4 3 2 2 2 3 4 4 4 3 2 3 3 4 4 4 4 5 8 9 8 10 15 11 2 5 17 25 26 25 19 8 -2 -2 9 16 14 9 -2 -6 -4 -3 -1 2 5 9 11 13 16 20 19 12 7 6 6 6 5 4 4 6 9 8 6 3 3 5 5 8 10 6 4 8 4 4 5 3 -1 0 3 4 2 4 5 3 -1 2 1 0 1 5 8 3 1 3 6 10 19 29 27 13 3 6 4 2 -4 2 8 13 12 3 -1 2 5 10 14 16 12 2 5 9 9 7 5 6 14 9 12 20 19 13 9 9 9 10 10 10 9 9 7 3 1 2 6 7 6 5 12 26 29 16 5 4 4 5 6 7 6 6 6 5 5 5 5 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 4 4 4 5 6 6 6 5 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 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 5 5 5 6 10 12 13 12 11 6 6 9 12 12 8 6 6 6 7 7 8 9 9 4 -4 -4 1 3 4 5 5 6 7 10 11 8 6 6 5 5 5 4 6 7 7 8 8 7 4 5 5 4 4 3 3 4 5 6 7 7 8 8 9 9 8 10 15 19 17 12 6 3 2 3 3 4 5 6 7 7 6 7 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 6 6 5 3 2 2 2 3 4 8 11 13 14 16 15 12 11 11 12 14 14 13 12 11 9 9 12 17 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 4 4 4 6 10 16 21 21 16 11 6 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 6 7 8 8 8 9 10 9 8 6 5 5 5 5 5 4 5 6 7 7 8 9 9 8 7 5 4 3 1 -1 -1 0 2 3 4 4 4 5 4 4 5 6 6 8 9 9 9 9 10 10 9 9 8 8 7 8 8 8 7 5 4 2 2 2 2 4 5 4 3 3 3 3 3 4 3 4 7 9 9 10 15 18 9 3 10 15 15 15 20 20 15 7 6 12 12 8 2 -5 -7 -4 -1 1 3 6 9 10 11 14 20 23 17 10 8 7 6 4 6 6 5 7 10 9 6 5 5 5 7 9 5 3 5 3 4 -0 -3 -2 0 3 2 -0 1 1 -0 -1 -5 -6 -4 -2 5 8 2 -1 4 10 12 13 16 17 12 10 12 9 2 -3 2 -1 6 10 2 2 6 10 12 13 15 12 1 -3 7 15 6 4 12 6 5 19 19 13 9 8 9 10 10 9 9 9 7 5 2 2 3 7 8 6 5 12 25 26 12 4 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 4 4 4 5 5 5 5 5 5 4 5 5 5 5 5 5 4 5 4 3 3 4 4 5 5 4 4 5 5 6 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 6 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 4 4 5 5 5 7 9 10 10 11 14 11 7 8 10 11 8 5 5 7 10 10 9 8 9 6 -0 -3 0 3 3 4 5 6 7 8 9 10 9 8 6 6 5 2 4 7 8 8 6 5 6 6 5 5 4 4 3 4 4 5 6 6 7 7 9 8 7 7 10 13 16 14 10 6 3 3 3 4 5 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 6 7 7 7 7 7 7 6 5 4 2 2 2 2 3 4 6 9 11 12 12 12 12 11 12 14 13 13 14 12 10 10 13 22 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 4 3 3 3 5 7 13 19 18 14 11 8 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 7 8 9 9 7 6 4 3 4 5 4 4 5 5 5 6 7 8 8 9 9 8 7 5 3 1 -1 -2 -1 0 1 3 4 4 4 5 5 5 5 6 7 7 7 7 8 9 8 9 9 9 9 9 8 9 9 8 7 5 3 2 2 3 4 4 4 3 3 3 3 3 4 4 5 9 12 13 17 22 19 6 -1 8 11 8 11 16 17 14 15 13 7 -3 -7 -7 -8 -6 -3 -0 2 4 6 8 9 10 13 19 24 20 13 9 7 4 0 5 10 10 10 14 12 7 4 1 0 6 4 0 4 5 3 2 0 1 1 1 7 3 -0 -1 -2 -1 -3 -8 -7 -4 -3 4 7 3 -1 5 11 10 9 10 9 8 11 16 13 3 9 16 4 1 3 3 8 10 12 11 9 8 5 -0 3 14 13 2 3 9 8 11 20 16 9 7 8 10 9 9 9 9 8 6 4 2 3 5 7 8 6 5 10 22 25 13 4 6 6 6 6 6 6 7 6 5 5 5 5 5 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 3 4 4 5 5 4 4 5 5 5 6 6 6 5 5 5 5 4 4 5 4 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 5 6 6 5 5 5 5 5 5 4 4 4 4 5 4 4 5 4 4 4 4 4 5 5 5 5 5 5 5 4 5 6 5 5 5 8 9 8 5 10 13 10 9 9 8 6 5 5 7 12 14 10 7 8 6 2 -0 2 3 2 3 5 6 7 7 7 8 9 8 7 7 6 5 5 6 6 7 7 6 6 6 6 6 6 5 4 4 5 5 6 6 6 7 7 7 6 6 7 8 11 14 15 10 5 3 3 3 5 6 6 7 7 6 5 5 5 6 6 6 5 5 5 5 5 6 7 8 8 8 8 8 7 5 4 3 3 3 3 2 1 2 5 7 7 7 8 7 8 9 9 10 11 10 11 11 11 20 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 3 3 4 3 3 5 9 13 14 13 12 11 10 8 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 6 6 7 6 5 4 4 4 4 4 4 5 5 6 6 6 7 7 8 9 9 8 6 4 3 1 0 0 0 1 2 3 4 5 5 5 4 5 5 4 5 5 5 5 6 6 7 7 8 9 9 10 10 10 8 7 5 4 3 3 4 4 4 4 3 2 2 3 4 3 4 8 15 17 17 18 18 11 -1 -6 5 11 7 8 10 9 7 12 9 -3 -15 -14 -9 -6 -3 -1 0 2 4 5 7 8 10 14 20 26 22 13 7 4 1 -2 3 12 11 12 14 12 7 4 3 6 9 5 4 8 8 2 -1 1 6 5 4 14 8 -0 -1 2 1 -2 -2 1 1 1 5 6 1 -1 6 11 8 7 7 6 6 8 11 9 5 15 19 13 3 -4 -1 8 13 11 5 4 7 6 2 9 21 8 3 9 13 16 17 17 14 9 8 9 9 8 8 8 9 7 5 3 3 4 5 6 7 6 4 8 19 25 15 6 7 7 6 5 6 7 6 6 6 5 5 5 5 5 4 5 4 4 4 4 5 4 4 5 5 5 5 6 6 5 5 4 4 4 5 5 4 4 4 3 4 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 4 5 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 6 6 5 5 8 10 8 2 4 10 9 8 8 7 5 5 3 2 5 11 10 7 6 4 1 1 3 3 3 3 4 5 6 7 7 7 7 8 7 7 6 6 7 6 6 6 6 6 6 7 6 6 7 7 6 5 5 5 5 6 6 7 6 6 6 7 6 6 7 11 14 14 10 6 3 3 4 5 5 6 7 7 5 5 5 5 5 6 6 6 5 5 5 5 6 6 7 8 8 9 8 6 4 3 4 4 4 3 1 1 2 2 3 3 2 3 4 4 5 6 7 9 11 11 11 15 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 5 5 5 5 5 5 3 3 2 3 6 9 11 13 14 14 13 11 9 7 6 5 5 5 4 4 4 4 4 3 3 3 4 5 6 6 6 6 6 6 5 4 4 5 5 5 6 6 6 7 7 7 8 8 7 7 6 6 5 5 5 4 3 2 2 2 3 4 4 3 3 3 3 2 2 2 2 3 3 4 4 5 6 7 8 9 10 10 8 6 4 4 4 4 6 6 5 4 3 2 2 3 3 3 7 17 24 20 14 9 5 1 -3 -1 6 10 8 4 -0 -0 3 -3 -13 -19 -17 -11 -6 -3 -1 -0 1 3 4 5 6 9 15 20 24 27 22 12 6 3 0 -1 1 5 3 9 11 10 6 5 10 15 15 9 5 5 5 4 3 4 9 9 7 20 13 1 3 7 6 4 6 7 6 4 5 5 -0 1 8 11 9 3 2 5 6 5 5 4 6 10 8 5 3 -0 1 3 8 8 -0 1 8 11 11 12 11 6 14 22 22 27 26 15 11 10 9 9 7 7 7 8 8 7 5 4 4 4 5 6 7 6 5 10 21 25 15 7 7 7 6 6 6 6 7 6 6 5 5 5 5 4 5 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 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 5 5 5 5 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 6 7 6 5 5 8 12 10 5 4 7 8 8 8 7 6 5 1 -4 -4 4 7 7 6 3 -0 1 3 3 3 4 5 6 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 6 6 7 7 7 7 6 5 5 5 7 7 5 5 6 7 8 7 7 8 11 13 13 11 6 3 3 4 5 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 6 5 6 7 8 9 8 7 5 3 4 6 7 6 4 2 2 2 3 3 3 4 4 5 6 7 7 8 10 10 9 12 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 6 6 5 3 3 3 3 4 6 8 11 13 13 12 11 10 10 9 8 6 6 6 6 6 5 5 4 3 4 5 5 6 6 7 7 7 6 6 5 5 6 6 6 6 7 7 8 8 8 7 6 6 6 6 7 7 8 7 6 5 4 3 3 3 3 2 2 1 -1 -1 -1 -1 -1 -1 -0 0 1 2 3 5 6 7 8 9 7 5 4 4 5 7 8 8 5 4 3 2 2 3 3 4 14 26 26 14 4 -1 -2 -1 1 3 7 14 16 7 -4 -8 -6 -16 -24 -21 -11 -5 -3 -2 -2 0 3 4 4 6 8 15 22 24 21 19 16 11 7 6 6 5 3 1 -1 4 9 9 5 4 8 11 12 6 5 8 5 5 5 7 10 10 14 20 15 3 6 8 7 7 8 6 4 5 7 5 1 5 12 10 7 0 0 4 2 -1 -1 2 5 7 5 1 2 4 4 3 8 6 -5 -5 4 13 17 15 10 13 23 27 25 27 23 14 10 9 8 6 6 7 7 7 8 7 4 3 4 4 5 6 6 5 6 14 24 21 11 6 7 7 6 6 6 6 7 6 6 5 5 5 4 4 5 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 5 5 9 13 11 8 6 7 7 8 8 7 7 6 3 -3 -4 -0 4 7 7 2 -0 3 3 3 4 5 5 6 7 8 8 8 7 7 7 7 7 7 6 7 6 7 7 6 6 5 5 6 6 7 8 8 8 6 5 5 6 6 4 3 4 5 7 8 8 8 9 10 13 14 10 5 3 3 5 5 6 6 7 7 7 6 5 5 6 5 5 5 5 5 5 5 6 7 7 8 8 8 6 3 4 6 9 10 8 5 4 4 3 3 4 5 5 6 7 8 8 8 9 9 7 9 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 5 5 6 6 5 4 3 3 3 3 3 4 6 8 9 10 11 11 11 11 10 9 9 9 9 10 10 10 8 5 4 4 5 5 6 7 7 7 7 7 7 7 6 6 7 7 7 8 9 9 8 7 6 6 5 6 7 8 9 8 8 7 6 6 5 4 4 3 1 -1 -2 -2 -2 -1 -1 -1 -1 -0 0 1 2 3 4 5 7 7 6 4 4 4 6 9 10 9 6 4 3 3 3 2 3 10 21 21 14 8 1 -2 -1 1 3 1 9 26 30 18 5 -2 -5 -11 -13 -10 -4 -2 -3 -2 -0 2 4 4 5 8 14 22 25 20 12 9 13 15 10 8 9 10 9 6 3 2 5 9 6 2 2 6 9 7 12 13 7 3 2 6 7 6 15 12 12 6 5 7 6 6 5 3 3 5 7 6 5 9 13 7 3 2 6 7 2 -4 -3 1 5 7 8 2 -2 2 7 14 20 10 -8 -9 1 11 15 17 20 21 22 20 19 17 13 10 9 8 6 5 7 8 7 7 8 6 3 3 4 5 5 5 5 5 7 14 21 18 10 6 7 7 7 6 6 6 7 7 6 5 5 4 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 4 4 4 5 6 6 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 6 6 6 6 6 7 6 7 7 7 7 7 7 7 6 5 7 12 13 10 9 8 8 7 7 6 6 6 6 5 3 1 1 4 6 4 1 2 3 4 4 4 5 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 6 6 6 6 6 7 8 8 7 6 5 5 6 3 1 1 4 5 7 8 9 8 9 11 13 12 7 4 4 4 5 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 8 9 8 6 3 2 5 9 13 13 10 7 5 3 2 3 4 5 5 6 8 8 9 9 9 8 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 5 5 6 6 6 5 4 3 3 4 3 3 4 5 5 6 8 9 9 10 10 10 11 11 12 13 16 17 14 10 6 4 4 5 5 6 7 8 8 8 8 7 6 6 7 7 7 8 9 9 8 8 6 6 6 6 6 6 7 7 7 7 7 7 7 6 5 5 3 1 -0 -0 -1 0 1 1 2 2 2 3 3 4 4 5 6 6 6 5 4 5 7 9 10 8 6 4 3 4 3 3 8 20 23 13 6 6 2 0 3 5 3 -0 17 27 29 21 10 5 3 -1 -3 -3 -4 -4 -3 -0 3 4 4 5 6 12 20 24 21 14 10 9 13 16 13 11 10 12 11 10 9 5 3 4 5 3 4 12 11 9 9 6 3 2 3 7 6 4 10 2 2 7 3 5 7 6 4 3 5 7 7 6 6 9 10 8 3 5 13 13 7 -0 -1 0 4 7 10 2 -6 1 10 18 21 8 -6 -6 3 8 12 17 22 20 17 15 12 10 9 9 8 6 5 6 7 7 7 8 7 5 3 2 4 6 6 4 4 4 7 11 16 19 15 9 6 7 7 6 6 6 7 7 6 6 5 5 4 4 4 4 5 5 5 4 4 5 4 5 5 5 5 5 5 4 4 4 4 5 6 6 5 4 4 4 5 6 6 6 6 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 6 9 15 15 10 9 9 8 7 6 6 5 4 5 5 4 4 3 4 4 2 1 3 3 4 5 5 5 6 6 6 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 6 5 6 5 3 1 1 3 4 6 7 8 9 9 9 11 11 10 10 8 6 5 5 6 6 6 6 6 7 6 5 4 5 5 5 5 5 5 5 5 6 7 8 8 6 4 1 2 7 11 14 13 11 8 5 2 1 3 3 2 3 6 8 9 9 9 9 8 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 6 6 6 6 6 6 5 4 3 4 4 4 4 4 3 4 4 4 5 6 6 6 7 9 9 10 12 16 18 18 14 9 6 5 5 5 5 6 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 5 4 3 2 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 8 8 7 5 4 5 5 4 8 16 22 16 8 4 -0 -1 4 7 6 1 1 19 17 16 16 1 -7 -7 -7 -8 -8 -7 -4 0 3 6 6 5 7 10 16 23 22 17 15 15 14 12 9 10 11 11 10 8 9 10 5 4 3 4 8 13 14 7 5 3 1 1 3 8 8 5 5 8 0 -1 5 2 5 8 8 8 8 9 10 9 9 7 5 8 11 8 8 10 12 9 3 1 2 4 8 13 12 3 4 7 8 6 2 0 1 6 7 10 15 17 16 14 12 9 8 9 8 6 5 6 6 6 6 7 8 7 5 2 2 4 6 6 4 3 5 7 9 13 21 22 13 6 6 7 7 6 6 6 7 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 5 6 6 4 4 5 6 6 6 6 6 5 5 5 6 6 5 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 6 5 5 6 6 7 8 8 9 9 8 8 9 9 8 7 6 8 15 16 11 9 9 8 7 7 7 6 5 4 4 4 3 3 5 3 -1 1 4 4 4 5 5 5 5 5 6 7 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 4 4 4 2 3 4 4 5 7 8 9 10 10 10 11 15 15 11 6 5 6 6 5 5 5 6 6 5 5 5 5 5 5 5 5 5 4 5 6 6 7 6 4 2 2 4 8 11 14 13 11 8 4 2 2 1 -1 0 4 7 8 8 9 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 6 5 4 4 3 4 4 5 5 5 5 4 4 3 3 4 4 3 3 4 4 5 6 7 9 13 15 14 12 9 7 6 5 4 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 7 7 7 6 6 6 5 5 5 6 6 7 7 7 8 8 8 7 6 6 5 5 6 6 6 6 6 7 7 7 7 8 7 7 7 7 8 8 8 7 7 7 6 5 5 5 6 9 14 14 7 2 0 -3 -3 2 10 12 8 0 -4 -3 2 5 6 -12 -23 -24 -21 -18 -11 -5 1 5 7 7 6 8 13 17 19 21 17 15 18 19 15 7 1 2 8 11 6 4 6 6 2 3 6 6 7 11 7 1 3 4 5 3 7 10 8 7 10 10 8 5 4 5 5 6 7 8 10 12 11 11 12 8 5 8 11 11 10 8 12 8 1 3 5 7 13 21 24 16 9 6 2 -5 -0 7 6 6 7 11 13 12 12 11 10 8 8 9 8 6 6 7 6 6 6 7 8 8 6 4 2 3 5 5 4 3 5 7 7 11 22 27 14 4 5 6 7 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 5 5 6 6 6 5 4 4 4 4 4 4 3 4 5 6 5 3 4 6 7 7 7 6 6 6 5 5 6 6 5 4 4 5 5 5 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 6 7 8 8 9 9 9 9 9 9 9 8 8 6 10 14 11 8 7 6 7 7 7 6 6 5 5 4 4 4 6 4 -1 1 4 5 5 5 4 5 6 6 7 7 8 8 8 7 7 6 6 6 7 7 6 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 5 5 6 7 9 10 10 10 11 14 17 17 13 8 5 5 4 4 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 5 6 5 4 2 2 5 8 12 13 12 11 8 5 3 1 -3 -2 2 5 6 7 7 8 8 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 8 8 7 5 5 4 3 3 4 5 5 6 6 5 4 4 4 4 3 3 2 2 2 3 4 4 5 7 9 11 12 11 11 9 7 5 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 5 5 6 6 6 6 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 7 8 8 8 7 7 8 9 10 10 9 8 6 6 5 5 6 9 9 3 -6 -8 -10 -7 5 13 16 14 11 5 -5 -14 -2 1 -7 -17 -22 -21 -16 -9 -1 4 7 9 8 7 8 15 24 23 19 16 12 10 13 13 10 3 0 2 6 8 3 4 7 9 5 3 4 3 1 3 3 2 4 4 2 3 8 7 4 9 12 12 15 14 8 6 6 5 5 5 5 8 9 10 11 10 9 9 8 10 13 14 15 5 -0 4 8 12 19 26 25 17 9 5 0 -2 5 8 9 11 15 15 12 10 9 7 6 7 9 10 9 8 7 6 6 6 5 6 9 9 8 6 4 3 4 4 3 3 4 5 6 13 26 27 13 3 3 6 7 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 2 5 9 10 7 7 7 6 6 5 5 6 6 5 4 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 5 4 4 5 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 5 5 6 7 7 8 8 9 9 8 8 10 11 11 12 8 6 9 10 8 6 5 5 6 6 6 6 6 5 5 6 6 6 5 3 2 3 5 4 5 5 5 6 6 7 7 8 8 8 8 7 6 6 6 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 8 7 6 6 6 6 6 6 6 6 6 8 9 11 11 10 11 14 19 19 14 8 5 4 4 4 4 4 5 6 6 6 6 6 6 6 5 4 4 3 4 4 5 5 4 3 2 3 5 8 11 12 11 10 9 7 3 -1 -2 0 2 4 5 6 6 6 7 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 8 9 9 7 7 5 4 3 4 4 5 6 6 5 4 4 4 4 3 3 3 3 2 2 2 3 4 5 6 8 9 11 12 12 10 8 5 4 4 4 4 4 5 5 6 6 6 6 5 5 5 5 5 6 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 11 10 9 8 6 6 7 8 7 3 -2 -4 -6 -7 3 13 14 13 10 10 11 4 -3 1 7 3 3 2 2 4 8 10 11 10 8 7 8 14 23 28 22 15 13 11 8 8 7 7 5 5 5 5 7 4 6 10 14 11 7 2 -3 -2 2 4 5 4 1 1 5 4 -2 -1 6 8 9 16 16 8 5 6 5 2 1 3 6 7 9 11 13 15 11 7 10 14 16 11 3 2 5 7 11 13 14 13 10 6 1 -0 6 6 5 12 20 22 17 11 7 5 3 3 6 8 10 9 8 6 5 5 6 5 6 8 9 9 8 6 4 3 3 3 3 4 5 7 15 22 20 14 7 4 5 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 5 6 6 5 3 3 3 3 3 2 2 0 -0 2 8 14 13 9 7 7 7 6 5 4 5 6 5 4 4 3 4 4 4 4 4 4 4 4 5 4 4 3 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 3 3 3 4 4 5 5 6 7 7 8 8 8 8 8 10 12 13 15 13 7 7 8 8 6 5 5 5 5 5 5 6 6 7 8 7 4 3 3 3 4 4 5 5 5 5 6 7 7 7 7 8 8 8 8 7 6 6 7 7 7 6 6 6 6 6 7 7 8 9 8 8 9 8 7 9 9 8 6 6 7 8 7 6 7 6 6 7 8 10 12 11 10 10 16 22 21 14 8 5 4 4 4 4 4 5 5 6 6 6 7 8 7 6 5 4 4 4 4 4 4 4 3 3 3 5 7 9 10 10 10 9 6 3 0 -1 1 4 4 5 5 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 10 11 11 9 7 5 5 4 4 4 5 6 5 4 3 3 4 4 4 4 3 3 3 2 2 3 3 4 4 6 9 11 12 13 11 9 7 6 6 6 6 6 6 6 6 6 5 4 5 5 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 5 6 7 7 7 7 6 6 7 7 7 8 8 7 7 7 7 8 9 11 10 8 5 8 13 13 8 4 2 1 2 3 9 9 7 6 5 10 14 11 2 3 14 23 29 24 20 18 17 14 11 7 6 7 13 19 21 17 13 11 12 12 9 10 9 10 10 8 7 5 5 3 5 11 14 10 9 7 1 1 1 3 7 5 2 3 6 1 -1 4 6 5 7 11 9 4 3 5 7 5 5 8 8 9 10 11 14 16 13 10 8 9 11 9 4 5 7 7 8 2 4 8 7 2 -2 1 7 3 5 16 19 16 12 7 4 3 3 4 5 6 9 8 6 5 4 6 6 4 5 7 8 8 9 9 7 4 1 1 2 4 5 7 11 13 16 19 15 8 6 5 5 5 5 4 4 5 6 7 7 6 6 5 5 6 7 8 7 6 6 7 6 6 7 6 4 3 3 3 3 2 1 -2 -1 4 11 16 15 10 8 7 7 6 4 4 5 6 5 5 4 3 4 4 4 4 4 4 4 4 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 3 3 3 3 4 4 5 5 5 6 6 7 7 7 8 9 11 13 11 15 16 8 6 7 7 6 6 5 5 4 6 7 7 8 9 10 8 2 0 3 4 4 4 5 4 5 6 6 7 7 7 7 8 8 8 8 8 6 6 6 7 6 6 7 7 7 7 7 7 8 8 9 9 9 8 8 10 11 9 7 7 7 8 8 7 7 6 7 7 8 10 12 13 11 10 13 19 22 20 15 9 6 4 3 4 4 4 4 5 6 6 7 8 9 8 6 5 4 4 3 4 4 4 4 3 3 3 4 6 8 8 8 8 7 5 2 0 0 2 3 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 11 12 13 14 13 11 8 7 6 6 5 5 5 5 4 3 3 3 4 4 5 4 4 4 3 3 3 3 3 3 4 6 8 10 12 12 12 11 10 8 8 9 8 6 6 6 6 5 4 5 5 6 6 5 6 6 7 7 7 6 5 6 7 8 9 9 9 7 6 6 6 5 5 6 8 7 7 6 6 6 6 7 8 8 9 8 8 7 7 7 7 9 10 9 7 7 7 6 7 6 5 4 4 4 5 7 5 1 5 13 14 9 4 8 17 26 29 24 20 16 13 8 5 4 6 13 19 18 12 8 9 9 9 9 9 12 13 13 13 11 9 8 5 2 1 7 10 7 8 9 7 3 1 5 7 4 4 8 9 4 5 7 5 5 6 7 5 3 5 9 10 10 12 11 7 9 11 9 11 13 12 10 6 3 5 7 7 8 7 8 5 2 8 10 7 1 -5 1 7 4 7 13 12 8 5 2 3 7 9 8 7 7 8 6 4 3 3 6 7 5 5 5 6 6 7 9 11 7 3 1 2 4 6 6 6 8 13 18 17 16 13 7 4 4 4 3 3 5 6 7 7 7 6 5 5 7 9 9 6 5 6 7 7 7 8 7 4 3 3 3 2 2 1 -2 0 8 13 15 13 11 9 8 8 7 5 4 5 6 5 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 4 4 5 5 4 4 4 3 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 6 6 6 7 9 11 12 11 12 13 8 7 7 7 6 6 6 5 6 7 8 8 9 11 11 6 1 0 3 3 3 4 4 4 5 5 6 7 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 10 9 8 9 12 12 8 6 7 7 8 8 8 7 7 7 7 8 9 11 13 13 12 11 15 20 22 20 16 11 7 4 4 4 4 4 4 5 4 5 8 10 9 8 7 6 5 5 4 4 4 4 4 4 3 3 4 5 5 6 5 6 6 5 3 1 2 4 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 11 12 14 15 15 16 15 13 10 9 9 8 7 7 7 6 5 4 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 5 7 8 10 13 14 11 8 8 9 8 6 6 6 7 6 5 4 5 6 6 5 5 6 6 7 7 5 5 6 7 9 11 12 11 9 7 5 5 5 6 7 8 7 6 6 5 6 6 8 9 10 10 9 9 9 8 7 7 7 8 9 10 6 0 1 6 7 6 5 4 4 7 10 4 -3 7 19 16 8 10 18 18 15 11 8 6 3 1 0 2 5 13 21 20 12 7 8 10 9 8 7 7 9 10 12 14 13 12 10 7 3 -0 3 7 10 8 7 7 4 4 10 11 6 6 9 9 8 7 5 5 4 7 10 8 7 11 13 9 8 11 7 2 5 8 8 11 13 10 6 2 6 6 4 5 8 6 2 -1 10 14 8 3 -4 -7 1 9 11 10 8 7 5 1 0 7 14 15 11 8 8 7 5 4 2 3 6 8 8 6 5 5 4 3 6 10 12 8 5 4 5 5 4 5 7 9 11 15 22 22 11 6 6 4 3 3 4 6 7 7 6 5 5 6 8 10 9 6 4 5 7 8 9 9 7 5 3 3 3 2 2 2 3 6 12 15 14 11 10 9 9 9 8 7 5 6 6 5 5 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 4 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 7 11 13 11 11 12 9 7 7 6 5 5 6 6 7 8 8 8 9 10 8 3 0 1 3 3 3 4 4 5 5 5 5 6 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 9 9 10 9 9 11 13 10 7 6 7 8 9 9 8 7 7 7 7 8 10 11 13 13 12 11 11 15 18 20 20 17 13 10 8 7 7 6 4 4 3 3 5 8 8 8 8 7 6 5 5 5 4 5 5 5 4 4 3 4 4 4 4 4 5 6 4 3 4 4 4 3 4 5 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 10 11 13 14 14 15 14 14 12 11 11 11 10 10 10 9 8 7 5 5 5 5 5 5 6 6 7 7 6 5 5 4 5 5 5 6 7 10 11 10 8 7 7 6 5 5 7 8 7 5 5 5 5 4 4 5 5 6 7 7 5 5 6 7 9 12 14 14 11 8 6 6 7 7 9 9 8 6 5 4 5 7 8 9 10 9 9 9 9 9 8 7 7 8 10 11 9 8 8 8 7 6 6 5 4 7 7 -0 -4 7 22 26 24 22 18 8 -1 -6 -8 -7 -6 -3 1 5 13 23 24 15 6 3 6 9 9 7 8 9 7 8 10 14 15 13 10 7 5 3 4 8 11 6 4 6 4 8 15 14 9 10 9 6 7 7 8 8 5 9 12 12 12 14 12 6 5 7 3 1 4 6 9 13 15 12 5 4 11 10 2 2 6 6 1 1 17 15 4 -1 -6 -4 3 12 16 14 8 5 4 1 4 12 17 16 12 9 8 7 5 4 3 3 5 7 9 8 6 5 4 3 3 5 9 12 12 10 6 3 2 4 6 7 8 12 20 20 11 12 14 7 2 3 5 5 5 5 5 4 5 7 9 10 8 5 3 3 5 8 9 9 8 5 4 3 2 1 3 7 10 13 15 15 12 9 8 9 10 10 9 7 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 5 5 4 5 5 4 4 3 3 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 5 5 5 5 5 5 5 5 4 5 6 9 11 9 10 15 11 6 7 5 6 6 6 6 7 8 7 7 7 8 6 0 -2 2 3 3 3 4 4 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 12 12 9 7 7 7 9 9 9 8 6 6 7 8 9 11 12 12 13 13 12 10 11 13 16 18 18 18 16 13 12 12 12 11 6 3 2 3 4 5 6 7 7 7 6 5 5 5 5 5 6 5 5 4 3 3 3 4 4 4 5 5 5 5 5 4 3 3 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 9 9 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 10 9 7 6 5 5 6 7 8 9 8 7 6 4 5 5 5 5 4 5 6 7 8 7 6 5 3 3 4 6 8 8 7 5 4 4 3 4 4 5 6 6 6 6 6 7 8 9 11 13 15 13 9 7 8 9 10 10 9 8 6 5 5 5 6 7 7 7 8 8 8 9 10 10 9 8 8 10 12 13 12 10 8 6 5 6 5 4 6 5 -1 -3 7 21 27 27 15 0 -8 -12 -14 -13 -7 -1 3 7 13 22 24 17 9 3 2 4 5 5 4 8 9 8 9 11 14 18 16 9 5 7 7 6 9 9 6 5 6 4 15 16 8 8 14 9 4 4 7 10 7 7 9 12 16 13 10 6 3 3 5 5 6 7 6 8 11 14 14 10 9 11 11 5 4 7 11 12 15 15 6 5 9 -0 -3 5 13 16 14 9 6 3 4 9 13 16 15 12 9 7 6 6 5 4 4 6 7 8 8 7 6 6 6 5 4 4 8 14 14 8 4 2 3 5 6 7 10 14 16 14 18 20 10 3 4 5 4 5 5 4 4 5 7 9 9 7 5 2 2 5 7 8 8 7 6 3 1 1 4 8 12 14 15 15 13 11 8 8 9 10 11 9 7 7 7 6 6 5 5 5 4 4 5 5 5 6 5 5 5 5 5 4 4 5 5 5 4 4 3 4 4 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 5 8 8 6 7 13 13 8 7 6 6 8 7 7 6 6 5 5 7 8 7 1 -2 1 2 3 3 3 4 4 5 5 5 6 6 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 8 8 12 11 8 7 8 9 10 10 9 7 5 6 7 8 8 10 11 12 12 13 12 12 10 10 11 13 15 16 17 16 16 17 16 16 14 10 6 5 3 3 4 5 6 6 7 7 6 5 5 5 5 6 6 5 4 4 4 4 4 4 3 3 4 5 5 5 4 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 10 8 7 6 6 7 8 9 9 7 6 4 4 4 5 4 4 4 4 5 5 5 5 4 4 3 4 6 8 9 8 6 4 4 4 4 5 5 6 6 6 6 6 7 8 9 10 11 13 12 9 8 9 10 9 8 9 9 8 7 6 6 6 5 5 6 6 7 8 9 10 11 10 8 9 11 13 14 12 9 7 5 5 6 5 7 10 8 4 -0 9 22 20 7 -7 -20 -19 -14 -13 -6 4 9 10 13 20 22 16 10 7 6 5 5 3 2 3 5 6 5 8 11 11 12 11 7 5 9 9 5 8 8 6 6 5 4 14 12 5 7 10 6 3 5 7 6 5 8 8 15 21 13 5 1 1 3 6 9 10 8 7 9 10 13 14 12 10 11 14 13 9 9 16 20 20 11 3 14 16 0 -3 7 11 10 11 9 4 5 9 12 13 13 13 11 8 7 5 6 6 6 7 8 8 7 6 5 6 7 8 8 6 5 5 10 13 9 4 4 3 4 5 6 7 9 14 20 17 11 6 4 8 8 7 7 5 4 4 5 7 8 7 6 4 2 1 4 6 7 7 7 5 2 -0 1 6 12 14 14 13 11 10 9 9 8 9 11 11 9 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 4 4 4 4 3 4 6 7 6 6 10 12 8 6 6 7 8 8 7 5 4 4 5 6 7 6 3 1 1 2 2 3 3 4 4 5 5 5 6 6 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 10 8 8 10 11 10 8 8 8 9 10 10 8 6 5 5 6 7 8 8 9 10 11 12 12 12 11 10 10 11 11 12 13 15 16 17 17 17 18 15 12 8 6 5 5 5 5 6 7 7 6 6 5 6 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 5 5 5 4 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 12 19 13 9 5 6 9 12 12 8 5 8 13 17 19 17 12 8 11 12 16 16 16 18 17 12 3 2 7 12 16 17 15 10 9 10 11 12 11 12 13 15 17 17 18 21 22 22 19 18 17 17 16 19 21 17 12 10 10 12 14 13 12 12 16 15 12 10 9 7 7 7 7 9 13 17 18 17 12 9 8 10 12 12 10 9 9 10 11 11 10 7 6 7 9 12 13 13 12 12 11 11 11 11 11 10 9 9 10 11 11 12 12 12 10 9 9 11 13 14 15 15 14 13 12 11 10 11 11 11 12 12 13 13 14 14 13 12 12 12 11 12 14 14 14 15 14 13 14 16 16 14 13 13 14 13 12 13 13 13 14 14 13 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 14 14 13 11 11 10 10 12 13 14 14 14 15 15 16 17 16 15 14 14 15 16 17 17 17 18 20 23 22 20 19 19 19 18 17 16 16 16 16 16 16 16 16 15 15 14 14 14 15 17 18 18 18 17 16 16 17 16 16 15 15 16 17 17 17 17 17 17 18 18 17 17 15 15 14 14 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 11 10 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 10 10 10 11 11 12 12 13 16 17 17 14 10 7 6 5 6 7 7 7 8 7 7 8 8 8 8 9 10 11 11 11 11 11 11 12 13 13 13 12 12 11 11 11 10 10 9 6 5 7 8 9 9 10 12 12 12 11 11 11 12 12 12 12 11 12 11 11 11 11 14 17 16 13 13 15 16 17 16 13 7 2 2 6 9 11 11 12 13 12 12 13 13 13 13 13 13 16 19 19 16 14 13 12 12 14 14 13 14 14 13 14 15 18 21 23 23 20 18 16 14 13 14 14 13 11 10 11 11 10 9 9 9 10 11 12 12 13 14 14 13 12 11 11 12 11 12 13 14 14 13 13 15 18 21 21 18 13 10 12 13 13 11 9 9 12 13 14 13 14 15 15 15 15 15 15 15 16 16 16 16 16 16 16 14 12 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 9 7 6 12 16 18 19 17 12 11 5 6 15 16 15 16 17 13 8 8 8 11 15 16 15 11 6 4 9 10 10 12 12 12 13 15 19 21 20 18 15 12 13 15 15 13 12 10 8 8 10 14 16 15 16 19 21 16 10 6 5 6 6 6 5 5 7 10 13 15 15 13 11 10 10 11 11 11 11 12 13 15 15 12 9 9 9 9 11 10 10 9 10 11 11 11 11 10 9 9 9 9 9 10 10 11 10 11 12 13 14 14 14 14 14 13 12 11 10 11 12 12 12 12 12 14 15 14 12 12 15 15 14 12 11 12 14 15 14 13 14 14 14 13 13 15 15 14 13 12 13 13 13 13 12 13 13 13 14 14 13 12 12 13 11 10 11 11 11 10 10 10 12 14 13 13 12 11 9 7 10 16 18 15 15 15 16 16 17 16 15 15 16 16 16 16 16 16 17 18 20 21 20 21 21 21 21 20 18 17 17 16 16 16 16 16 16 15 14 13 12 13 15 17 18 17 16 15 15 15 16 17 18 17 16 17 17 17 16 16 15 16 18 19 18 16 15 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 13 12 13 12 11 11 11 11 12 12 11 11 12 11 11 10 10 10 11 11 11 12 13 15 16 18 17 13 8 5 3 3 4 5 6 7 6 7 7 7 7 7 7 7 7 8 9 10 10 9 8 9 11 12 13 13 12 11 11 11 11 11 9 8 6 5 6 7 9 9 10 11 12 12 12 12 11 12 12 12 12 12 11 11 11 12 12 14 15 15 13 14 16 15 12 8 4 -1 -1 3 9 11 12 12 11 12 12 12 12 12 11 11 11 13 16 19 21 18 15 13 13 14 14 14 13 13 14 14 15 16 18 19 19 17 16 14 14 15 15 15 14 12 11 11 11 11 11 10 10 11 12 12 11 12 12 13 13 13 12 11 11 12 13 12 13 14 14 13 13 15 19 23 22 16 10 9 11 12 10 9 9 11 12 13 12 11 13 16 16 15 15 16 16 16 15 15 16 16 17 17 17 15 13 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 7 1 -1 10 18 22 18 14 12 17 17 11 9 9 13 15 12 9 7 8 9 11 13 14 14 14 15 15 15 15 12 9 8 8 10 13 14 10 8 7 6 8 12 16 16 15 15 17 18 14 10 6 5 6 8 8 9 8 7 8 10 12 16 15 13 12 12 11 13 14 15 16 16 18 19 17 13 10 9 9 11 12 12 11 11 12 12 13 13 11 10 11 11 11 10 9 8 8 10 12 13 14 14 14 13 13 12 12 12 11 12 12 12 12 12 13 13 15 14 13 13 13 14 14 14 13 13 13 14 14 14 15 15 14 14 13 15 15 15 15 13 12 11 11 12 13 13 13 14 14 14 14 14 13 13 13 12 12 12 12 12 11 10 10 12 13 13 12 12 11 9 6 6 11 18 21 22 20 17 16 16 15 15 15 15 16 16 16 16 16 16 16 17 18 19 20 22 22 22 22 21 20 19 18 17 16 15 14 14 15 15 14 13 13 13 15 17 18 17 16 16 15 15 17 19 18 16 16 15 14 14 12 10 11 13 16 18 18 16 15 14 13 13 13 13 13 13 13 13 13 14 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 12 11 11 11 11 11 12 11 11 12 13 15 16 16 17 15 10 6 4 4 4 6 7 8 7 6 6 5 6 6 6 6 6 6 6 7 9 10 9 9 8 8 9 11 12 11 11 11 11 11 11 10 9 8 6 6 7 8 8 9 10 10 11 12 12 12 13 13 12 12 11 12 12 12 12 12 12 13 14 16 17 17 15 10 4 1 -0 2 5 9 11 12 12 11 11 12 12 13 12 11 11 11 11 14 18 22 22 16 13 12 13 14 15 15 14 14 14 14 14 13 13 14 15 14 15 14 15 16 17 15 14 12 11 11 12 12 11 9 10 12 13 12 11 11 13 14 15 14 12 11 11 11 12 12 13 13 14 14 15 16 19 21 19 12 9 10 11 11 9 9 11 12 12 11 12 13 14 15 15 15 15 15 16 16 16 16 15 16 17 17 18 16 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 20 10 7 13 14 12 7 9 11 11 10 9 9 12 12 11 13 16 16 15 17 16 11 8 6 6 7 8 11 15 16 12 10 9 7 8 11 14 12 10 9 10 11 11 8 6 5 6 7 7 9 10 9 9 10 12 14 13 12 11 10 10 13 15 17 17 14 17 17 16 14 12 9 9 12 14 13 13 13 12 13 13 14 13 12 12 13 13 11 9 6 6 9 12 15 15 15 14 12 12 12 12 12 12 13 13 13 13 14 13 13 13 12 12 12 11 12 14 15 13 13 16 15 13 15 16 15 14 14 15 15 14 14 15 15 14 12 11 11 12 13 13 14 14 14 14 14 14 13 12 12 13 13 14 14 13 11 11 12 12 12 12 12 12 12 9 6 4 8 15 22 28 27 22 17 15 15 14 14 15 16 16 16 17 17 16 15 15 16 17 19 20 21 22 22 22 21 19 18 18 16 15 15 15 16 16 15 14 14 15 16 17 18 18 16 15 14 17 19 18 15 14 13 13 13 13 12 11 11 12 14 15 16 16 15 14 14 14 14 15 14 13 13 14 14 14 14 14 14 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 11 11 12 12 13 13 14 15 16 16 13 10 6 4 4 6 7 8 9 10 10 9 8 6 5 5 6 7 8 9 9 9 9 9 10 10 10 10 9 9 11 11 11 10 10 11 11 10 10 10 9 9 9 8 8 9 9 9 9 10 11 12 12 12 12 12 12 13 14 13 13 12 13 13 15 17 19 20 18 14 8 3 3 8 12 12 12 12 11 11 12 11 11 12 13 13 12 12 12 12 14 17 20 17 13 11 12 14 15 14 14 14 15 14 13 12 13 13 14 15 15 14 15 16 17 16 15 12 10 10 12 12 12 11 10 10 12 13 11 12 13 15 15 15 13 11 10 9 10 11 12 12 13 14 16 17 17 16 19 17 12 11 12 11 7 7 9 11 11 10 10 12 14 15 15 15 14 14 15 16 16 16 16 16 15 16 17 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan 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 12 15 14 13 14 13 11 10 10 12 14 16 15 11 11 11 10 11 11 14 18 19 17 15 10 6 6 8 9 7 5 4 5 6 6 6 6 6 7 6 7 9 10 11 11 12 12 11 11 9 9 9 10 12 14 15 13 11 14 15 14 14 13 12 9 8 10 13 12 11 10 11 12 13 12 13 13 13 13 11 9 6 6 9 12 14 15 15 14 13 13 12 11 11 12 13 13 13 13 14 13 12 12 12 12 11 11 13 14 14 11 12 16 16 14 14 15 15 14 16 16 15 14 14 14 14 13 13 12 11 12 13 13 13 15 15 14 14 13 13 13 12 13 13 14 14 14 13 12 12 13 13 12 12 12 14 13 8 3 0 4 12 31 38 25 18 16 14 14 14 14 14 15 17 17 17 16 15 15 15 15 16 17 16 17 20 24 26 23 18 19 18 16 16 16 16 15 15 16 14 14 14 15 15 15 16 15 15 16 16 16 16 15 14 14 13 14 14 12 10 10 10 11 13 14 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 13 14 14 13 13 13 12 11 11 11 11 12 11 12 12 12 12 11 11 11 12 12 12 12 14 14 16 17 17 16 14 11 7 5 5 6 8 9 10 10 11 10 10 10 10 9 7 7 9 10 11 11 12 12 11 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 8 8 8 9 9 9 10 11 12 13 13 13 13 14 15 14 13 12 12 14 17 19 19 16 13 11 8 5 7 12 13 13 11 10 11 12 12 12 11 12 13 13 13 13 13 14 14 17 18 16 13 12 13 14 14 14 14 14 14 13 13 12 13 14 15 15 14 14 15 15 14 13 13 11 11 12 11 11 11 11 12 13 14 14 13 13 14 16 16 14 11 9 8 10 11 11 12 12 13 14 16 18 17 16 16 16 15 13 11 9 8 9 11 11 10 9 10 11 13 14 15 15 15 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 9 10 14 16 15 13 13 13 12 12 13 16 19 18 17 16 16 12 8 7 7 7 6 6 5 2 1 2 4 8 11 13 13 12 11 11 12 13 13 12 10 7 8 9 11 13 13 11 9 10 13 14 13 14 14 14 11 8 10 14 12 11 10 11 12 12 11 12 13 12 11 10 8 6 8 11 13 14 14 13 12 13 13 12 12 12 13 14 14 14 12 11 10 11 13 13 12 12 13 14 14 13 10 11 14 15 15 15 15 14 13 17 17 17 15 14 13 13 13 13 13 13 13 12 13 14 15 14 13 13 13 13 13 13 13 14 14 14 15 14 13 13 13 13 13 13 13 13 13 11 8 1 -4 -1 24 41 33 24 17 15 13 13 13 14 15 15 17 17 17 17 17 16 15 15 15 12 9 11 20 28 26 21 21 19 17 17 17 16 15 14 15 15 14 14 13 13 14 14 14 14 14 14 14 14 14 14 13 12 12 12 12 11 10 10 10 11 12 14 15 15 15 14 15 15 15 15 15 15 15 15 14 14 14 14 13 13 12 12 12 12 11 11 11 12 11 12 12 12 12 12 13 14 15 16 17 18 19 20 20 19 16 13 10 7 6 6 8 9 9 10 10 10 11 11 10 10 10 9 9 11 12 13 13 12 12 12 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 9 8 7 7 8 10 11 11 12 13 14 14 14 14 15 14 13 12 10 11 15 17 16 12 9 8 9 8 8 10 12 13 12 10 11 12 12 11 12 12 12 13 13 14 15 15 15 16 18 20 19 16 14 14 14 13 13 14 13 13 13 13 13 12 13 13 13 13 13 14 13 12 11 11 12 13 14 13 12 11 12 13 12 14 15 14 13 14 15 13 10 9 9 11 11 11 12 13 13 14 14 14 15 14 14 16 17 16 12 9 7 8 11 13 12 11 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 9 8 8 7 7 7 7 7 8 10 13 15 17 17 15 13 13 16 19 25 32 34 32 27 21 16 14 14 15 16 18 19 19 19 19 20 19 18 18 18 18 17 17 16 14 11 10 11 12 13 14 14 14 13 13 13 14 16 19 22 23 20 16 13 12 12 12 12 13 14 14 13 12 12 13 9 6 6 6 7 7 6 6 7 6 6 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 4 6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 4 20 49 74 80 78 75 75 72 60 45 46 72 82 62 45 60 85 96 100 98 96 98 96 79 63 65 66 54 55 76 100 119 134 139 137 133 131 136 148 156 166 164 152 144 145 136 121 112 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 11 9 9 9 9 9 8 8 8 9 10 10 12 14 16 15 15 16 18 21 25 26 25 22 18 13 12 13 14 15 16 16 17 18 18 19 19 19 18 17 15 15 15 14 13 11 8 8 9 11 13 12 10 10 10 9 9 11 14 18 19 17 14 13 12 12 12 13 14 14 14 13 12 12 12 9 6 6 6 6 7 7 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 0 0 2 6 7 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 2 6 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 1 11 29 62 81 82 82 83 81 73 62 63 83 98 92 83 88 89 89 90 92 96 103 112 110 107 109 100 97 110 119 125 137 142 135 127 129 132 143 156 164 166 162 162 162 159 146 131 121 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 13 11 10 10 10 10 10 10 9 9 10 10 11 12 14 14 13 14 15 17 18 18 17 15 13 11 11 12 12 13 14 15 15 16 15 15 16 17 17 16 15 14 13 13 12 10 8 7 7 7 8 7 8 10 12 11 11 11 12 14 14 14 13 12 12 12 12 13 14 14 13 12 11 12 10 7 6 6 6 6 7 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 7 8 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 3 15 31 59 81 85 84 86 86 82 75 72 79 89 95 94 90 88 86 85 88 95 103 112 113 111 115 121 124 130 130 132 136 136 131 126 128 133 145 156 158 153 154 165 170 162 146 131 125 123 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 16 15 12 10 10 10 11 11 11 10 10 10 11 11 11 12 12 11 12 12 12 11 12 12 11 10 10 11 11 11 12 12 13 14 14 14 14 14 14 14 14 15 14 13 12 11 9 8 7 6 6 6 5 7 10 12 12 12 12 12 13 13 13 12 12 12 12 12 12 13 13 11 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 7 8 9 7 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 2 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 2 2 0 0 0 0 0 4 4 2 0 0 0 0 0 0 0 0 0 0 4 19 45 72 85 88 86 84 85 84 85 85 84 88 92 97 97 90 86 82 79 85 95 105 111 109 111 121 129 132 133 132 132 132 131 131 130 129 133 141 146 142 134 143 162 166 154 137 127 123 121 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 nan nan nan nan 13 15 14 12 10 10 10 10 11 10 10 11 12 12 12 12 12 13 13 12 11 11 12 12 12 11 10 11 11 11 11 11 12 12 13 13 13 12 11 12 12 14 14 13 12 11 10 8 8 7 6 5 4 5 8 10 10 11 11 12 12 13 12 12 11 11 12 12 12 13 13 10 7 6 6 6 6 6 6 6 6 6 6 6 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 8 7 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 3 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 5 2 2 10 10 7 3 2 1 7 14 13 8 3 0 0 0 0 1 4 2 0 0 7 39 76 107 107 90 77 80 85 82 86 90 92 93 95 97 98 92 87 81 77 82 92 104 114 117 116 119 122 123 127 129 128 128 128 131 133 134 137 139 139 137 140 154 165 163 149 137 129 124 119 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 8 12 14 13 10 9 9 9 9 9 10 10 12 12 12 12 14 15 16 15 14 14 14 14 14 14 14 14 13 12 11 11 11 12 12 12 12 11 10 10 11 12 12 11 11 10 10 10 8 7 6 6 5 5 6 7 8 9 10 11 12 12 12 12 11 11 11 12 12 12 13 12 9 7 6 6 6 5 5 5 5 6 5 6 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 6 5 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 4 6 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 13 16 16 16 20 22 20 18 17 16 16 18 18 15 8 4 1 0 1 6 18 17 11 7 26 53 80 108 115 94 72 72 78 84 92 96 96 96 95 95 97 96 91 84 77 77 85 97 108 114 115 115 114 114 115 114 118 122 125 128 129 133 140 143 143 145 152 162 167 162 149 143 139 134 125 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 6 6 8 11 12 10 9 8 7 7 7 8 8 9 11 12 12 14 16 17 18 17 15 15 15 15 15 16 16 16 14 12 11 11 11 12 12 12 12 11 11 11 11 10 9 9 9 9 10 9 8 7 6 6 6 5 6 6 8 10 10 11 11 11 11 11 11 11 11 12 12 13 12 11 10 8 6 5 6 6 5 5 6 6 6 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 1 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 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 1 3 10 18 20 24 29 31 29 29 30 29 27 26 24 19 14 18 15 16 12 24 36 38 39 33 54 65 78 104 117 105 75 59 64 80 98 105 102 98 94 92 94 95 93 87 78 76 83 94 102 105 109 110 111 112 112 111 113 116 120 121 123 133 142 148 152 158 166 170 170 163 154 148 146 143 135 nan nan nan nan nan nan nan nan nan 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 9 10 10 8 7 6 6 6 5 6 6 8 10 11 12 14 17 19 19 17 16 16 15 15 16 17 18 17 15 13 12 12 12 12 12 12 12 12 12 11 10 9 7 6 7 7 8 8 8 8 7 6 6 6 6 6 7 9 10 10 11 11 11 11 11 11 11 12 13 12 12 11 10 8 6 6 6 6 6 6 6 6 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 7 15 17 20 26 30 30 27 24 23 24 28 33 29 23 31 35 41 39 48 45 45 46 50 57 64 77 99 116 115 93 69 61 69 88 104 108 104 97 92 92 92 91 88 81 78 84 92 99 102 102 102 104 110 115 114 115 115 115 114 122 141 152 158 165 176 183 183 178 167 155 150 150 149 143 137 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 nan 6 4 5 7 10 10 9 7 6 6 4 3 3 3 4 6 7 8 10 14 17 19 20 19 18 16 15 15 17 18 18 17 16 14 13 12 12 11 11 11 12 12 12 11 10 8 6 6 6 6 7 8 9 8 7 6 6 6 6 6 7 8 9 10 10 10 9 10 10 11 12 12 12 11 10 9 7 6 6 6 6 6 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 17 16 18 25 26 19 10 6 10 20 33 44 47 49 51 54 50 46 46 47 48 52 59 71 81 95 111 120 114 95 75 66 71 86 104 110 102 95 92 91 89 88 84 81 83 87 92 99 102 98 99 105 113 117 118 117 116 118 130 150 164 169 176 186 193 190 182 170 157 150 150 152 146 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 2 2 3 5 8 9 8 7 5 4 2 1 1 1 3 4 4 5 6 8 12 16 20 20 20 18 16 15 15 16 15 15 15 16 17 15 13 12 11 11 11 11 12 12 11 10 7 6 6 6 6 6 7 7 6 6 6 6 6 5 6 6 7 7 7 7 7 7 8 8 9 10 10 10 9 8 7 6 6 6 6 6 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 11 9 21 25 18 6 1 4 15 31 55 75 81 77 76 69 61 56 52 51 54 64 76 82 90 105 118 126 122 102 81 71 73 86 103 104 99 96 93 90 88 87 86 87 85 84 89 96 100 102 106 112 119 121 121 120 122 133 151 164 171 176 182 185 181 176 167 156 148 147 153 150 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 1 2 3 4 5 4 2 0 1 0 0 0 1 2 3 3 4 4 6 10 14 17 19 19 17 15 14 13 12 11 11 14 17 18 16 13 13 13 11 11 11 12 12 11 9 7 6 5 5 5 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 6 7 8 8 7 6 6 6 5 5 5 4 4 4 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 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 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 4 15 10 12 23 32 32 20 12 13 20 35 61 85 101 106 99 84 74 67 62 59 61 71 84 89 94 103 112 123 133 129 112 95 88 94 101 103 101 100 97 93 91 91 92 92 90 83 82 90 101 107 111 116 121 123 124 123 125 135 148 158 164 166 166 163 164 165 160 150 140 140 150 150 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 2 3 3 3 3 4 5 7 10 14 16 16 15 13 12 10 9 9 11 15 18 19 17 15 14 12 11 11 11 12 12 10 8 6 5 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 5 5 5 5 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 30 31 32 40 44 37 27 24 32 46 66 87 100 104 101 93 84 79 76 73 74 79 91 100 104 109 115 123 136 140 136 123 112 117 118 113 107 106 103 99 95 95 96 98 96 88 81 84 95 108 117 121 124 124 124 123 125 132 140 147 152 154 152 149 150 154 151 144 135 135 141 144 135 nan nan nan nan nan nan nan 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 1 3 4 4 3 3 3 4 6 9 12 14 14 13 12 11 10 9 10 13 15 17 17 15 14 12 10 10 10 10 10 9 8 6 4 3 2 2 3 4 4 4 5 5 5 5 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 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 0 0 0 0 0 1 19 39 45 41 41 46 43 24 22 44 61 78 92 101 105 103 99 95 93 90 87 85 85 98 107 111 116 124 134 137 141 143 136 124 118 120 121 120 117 112 105 99 96 96 99 101 97 89 86 90 103 118 122 122 122 123 120 123 130 133 134 136 139 140 141 142 143 142 140 135 131 132 134 128 121 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 2 3 3 3 3 4 4 4 6 8 11 12 13 14 13 11 11 11 11 11 12 13 13 12 11 10 9 9 8 8 7 6 4 3 2 2 1 1 1 1 2 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 5 5 5 5 5 4 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 8 10 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 41 56 52 43 43 42 37 38 57 78 96 105 106 107 107 106 106 106 104 99 95 94 101 109 114 120 129 138 141 143 144 143 134 122 116 121 127 128 122 113 105 97 92 93 98 104 104 99 94 98 112 118 118 119 120 119 121 126 127 124 121 123 126 129 130 130 132 134 133 126 121 119 113 104 nan nan nan nan nan 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 1 3 4 4 4 5 6 7 10 12 13 14 14 13 12 11 8 7 7 8 9 9 9 9 8 8 8 7 5 4 3 2 2 1 0 0 0 0 1 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 42 69 68 48 44 46 48 55 76 102 123 124 113 112 114 114 115 116 114 109 104 101 102 106 113 123 133 139 142 145 148 149 146 136 129 128 131 131 126 120 115 105 93 87 88 96 104 111 107 102 105 109 111 113 115 115 116 119 119 114 107 105 107 111 113 114 118 123 123 114 103 96 90 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 6 7 9 11 12 14 14 13 12 10 8 6 6 6 7 7 7 8 8 8 7 6 4 4 3 3 2 1 1 1 0 1 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 4 4 4 4 4 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 11 36 75 81 57 50 55 58 61 86 125 147 139 125 120 120 120 121 120 118 114 108 104 103 103 108 121 134 142 144 148 152 154 153 146 140 136 135 131 125 122 122 114 97 83 76 80 97 110 112 107 103 100 98 101 105 106 108 111 110 102 91 84 84 88 93 96 101 107 105 92 78 67 58 49 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 8 8 8 8 7 8 10 12 12 13 13 11 8 7 6 7 7 7 7 7 7 7 6 6 5 5 4 3 3 2 2 1 1 1 1 2 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 1 0 0 1 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 25 64 84 64 54 63 67 72 96 141 159 150 137 131 127 124 122 120 116 113 109 106 102 100 102 113 129 141 146 150 153 155 154 149 142 137 137 131 127 126 124 114 98 80 65 67 87 106 111 108 103 97 90 88 91 94 98 104 104 92 75 63 62 66 74 78 82 86 84 71 55 42 32 27 nan nan nan nan nan 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 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 9 11 11 9 6 5 6 9 10 11 12 13 12 10 9 9 9 9 8 7 7 7 7 6 6 7 6 6 5 4 4 3 2 2 2 1 1 1 0 0 0 0 0 1 1 2 2 2 2 3 3 3 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 49 81 70 58 68 82 90 113 150 164 154 143 137 132 126 121 118 114 110 106 102 98 96 98 104 119 138 149 151 153 154 152 149 145 141 138 132 128 127 123 114 100 84 71 70 83 100 109 109 109 105 93 83 78 78 83 95 99 85 62 48 46 50 58 63 66 69 68 57 41 26 18 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 6 5 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 4 8 11 13 12 10 6 5 7 8 8 9 11 13 13 12 12 12 12 11 9 7 7 7 6 6 7 7 7 6 5 5 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 34 69 71 63 71 88 101 120 150 163 155 146 140 133 126 120 116 113 109 103 99 97 94 96 98 107 126 145 151 153 153 150 146 143 142 139 134 131 130 126 120 109 97 84 76 80 98 111 112 115 117 107 89 74 65 66 77 86 77 56 40 34 38 45 52 56 56 55 47 32 19 12 10 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
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nan nan nan 15 14 12 10 9 8 7 7 6 6 6 6 7 6 5 4 2 1 1 2 2 1 0 0 0 0 0 0 1 3 4 7 10 12 13 13 13 12 10 8 8 9 11 14 15 15 14 12 10 10 10 10 10 8 7 6 6 5 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 3 2 0 0 0 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 6 5 5 4 2 0 0 0 0 2 5 4 1 10 34 55 66 72 82 101 113 127 142 143 129 117 113 107 100 96 91 83 77 74 75 80 85 87 86 86 91 102 116 126 132 136 135 137 140 140 139 140 144 144 140 132 122 109 102 102 104 104 106 109 109 106 100 91 79 70 72 77 63 36 17 11 13 21 28 29 28 26 22 18 14 11 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 17 16 14 12 10 9 8 7 7 7 6 6 7 7 8 8 8 6 4 3 3 3 3 1 0 0 0 0 0 0 1 3 4 6 8 9 10 11 12 12 11 9 8 9 11 14 14 13 12 11 10 9 10 10 10 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 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 2 5 7 8 8 7 8 9 6 2 0 0 0 2 8 11 6 8 28 47 60 71 79 94 110 124 137 136 119 107 105 100 93 88 82 74 66 63 64 67 73 78 81 82 84 90 97 105 116 128 137 138 137 139 136 130 129 133 136 134 128 119 109 104 102 101 101 104 106 106 108 112 109 96 93 97 78 47 24 12 9 13 17 19 19 20 20 18 16 13 9 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 19 17 15 12 9 7 6 5 5 6 6 7 7 8 8 8 9 8 7 5 5 6 6 5 3 0 0 0 0 0 0 1 2 3 4 3 5 7 10 12 13 12 10 9 10 11 11 11 11 10 9 8 8 8 10 10 9 9 7 5 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 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 3 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 3 6 8 8 7 10 15 16 11 3 0 0 0 4 15 19 14 10 26 43 53 68 78 91 112 128 141 140 121 105 99 95 89 83 78 68 59 56 56 54 56 59 63 71 77 84 86 88 95 105 117 128 134 141 139 128 118 114 118 125 130 127 117 107 101 97 96 98 98 94 106 124 131 124 117 110 88 59 33 18 14 14 15 16 18 21 22 20 17 13 8 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 22 20 18 13 10 6 5 4 4 4 5 6 6 7 8 8 9 10 10 8 7 7 8 8 7 4 1 0 0 0 0 0 1 2 3 5 4 5 8 12 14 14 12 11 10 10 10 10 10 9 7 5 4 6 8 10 10 9 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 7 7 8 11 18 19 13 4 0 0 1 8 21 26 22 18 26 39 47 57 70 85 110 133 145 143 127 108 97 91 85 80 74 66 56 51 50 47 45 43 42 47 59 68 71 72 75 82 92 106 121 135 137 123 104 94 94 105 123 133 127 113 103 97 94 96 93 89 102 126 141 143 136 119 94 65 42 27 22 21 20 19 21 24 28 24 19 12 8 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 24 24 23 18 12 8 6 3 1 1 2 3 4 5 6 7 9 10 11 10 9 8 8 8 10 10 5 2 0 0 0 0 0 0 1 2 3 4 6 10 13 14 14 13 12 11 11 10 9 8 6 3 1 2 5 7 9 9 8 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 10 16 18 15 8 0 0 3 14 28 31 26 22 26 35 43 48 54 67 90 120 143 147 133 110 95 87 81 76 71 64 56 51 48 44 41 37 34 33 36 44 48 50 52 57 66 80 101 121 128 116 95 81 75 82 106 129 136 125 110 102 97 98 96 95 106 127 142 148 143 122 95 70 50 39 35 34 31 30 36 44 43 32 22 14 9 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 20 22 24 24 20 14 11 8 3 0 0 0 0 1 2 4 5 6 8 9 9 9 9 8 8 9 12 9 4 1 0 0 0 0 0 0 0 1 2 4 7 11 13 14 14 13 13 12 11 10 9 8 4 2 1 2 4 6 7 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 6 10 16 16 13 5 2 7 19 30 31 26 22 23 31 40 43 43 48 62 91 128 150 139 113 98 90 82 75 70 63 56 51 47 43 40 37 33 29 29 30 30 28 24 28 38 53 77 104 121 114 90 74 67 67 87 119 136 131 120 112 106 104 102 102 111 126 135 136 127 110 90 68 52 44 45 47 47 50 59 68 68 48 30 20 14 9 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 15 18 20 17 14 11 9 5 1 0 0 0 0 0 1 2 3 5 6 7 9 10 10 8 8 9 9 6 3 1 0 0 0 0 0 0 0 2 3 6 8 10 12 13 14 14 14 13 12 12 11 10 6 4 3 3 4 6 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 12 17 17 16 13 16 22 28 27 23 20 21 26 34 38 38 38 44 63 99 131 131 116 106 99 92 84 77 68 60 52 46 42 38 35 31 28 25 24 23 18 10 4 8 21 49 84 112 112 83 69 63 60 75 105 129 132 127 121 117 114 110 104 108 120 127 123 107 90 77 62 51 46 46 53 59 67 77 87 84 67 44 30 24 18 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 9 11 12 12 12 10 8 4 1 0 0 0 0 0 0 0 1 3 4 5 6 9 10 9 7 7 7 6 3 1 0 0 0 0 0 0 0 1 3 5 6 7 8 10 11 13 14 14 14 14 15 14 12 9 7 6 6 6 6 7 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 1 0 0 1 2 8 13 19 25 30 28 24 22 20 17 14 14 21 28 33 34 34 36 46 71 100 108 107 102 99 97 92 89 83 71 58 47 40 34 29 26 23 19 16 16 14 5 0 0 1 20 58 93 95 76 67 65 62 68 89 116 133 134 129 124 119 112 100 99 111 120 117 98 77 65 56 50 46 48 54 65 79 92 99 95 82 61 46 39 29 19 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 8 9 10 11 12 10 8 3 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 10 9 8 5 2 1 0 0 0 0 0 0 0 1 2 4 4 4 4 5 7 10 12 13 14 14 15 16 14 13 11 9 7 7 7 7 8 7 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 3 4 4 4 3 2 2 2 4 5 5 4 3 2 0 0 0 0 0 0 0 0 1 5 8 3 0 0 0 0 0 1 0 0 0 0 4 6 14 25 35 36 29 23 20 13 5 6 15 25 30 30 31 31 36 53 74 88 91 88 82 78 77 82 85 79 65 50 40 31 24 18 15 11 6 8 9 2 0 0 0 6 31 68 81 70 67 77 78 72 76 101 130 141 138 131 122 109 93 93 101 108 109 94 72 58 52 49 46 45 52 67 83 96 98 94 84 70 57 50 34 20 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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13 14 17 18 16 15 14 13 12 10 7 4 2 2 2 0 0 1 2 3 4 4 4 4 5 7 11 16 17 13 4 0 0 0 0 0 0 0 0 1 1 1 2 3 2 1 0 0 2 6 8 8 8 10 12 14 14 13 11 9 8 7 7 8 8 7 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 1 0 0 0 1 1 6 8 9 7 7 7 6 6 6 6 6 6 8 11 11 7 3 2 2 1 0 0 0 0 0 0 5 13 17 17 11 1 0 0 0 0 0 0 0 0 1 3 6 9 16 24 28 26 22 16 10 6 4 16 23 29 27 25 29 36 42 50 60 67 65 55 47 49 52 52 51 50 45 36 23 13 9 6 2 1 0 0 0 0 0 0 6 27 46 50 70 108 124 114 97 94 115 140 148 145 129 108 94 86 84 91 102 104 94 81 77 79 78 71 69 77 89 94 87 74 63 54 39 23 11 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
12 14 18 19 18 16 14 13 14 14 13 12 10 9 6 2 0 0 0 1 3 4 5 5 4 5 8 14 19 18 10 2 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 2 5 6 5 3 4 6 10 12 12 11 9 8 7 8 8 9 9 9 7 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 2 2 4 7 10 10 9 8 8 8 7 9 13 16 19 22 20 15 8 2 1 0 0 0 1 1 0 1 7 13 20 22 17 7 2 0 0 0 0 0 0 0 0 1 4 8 16 25 28 24 22 18 14 10 3 10 16 18 13 11 19 29 35 37 41 52 59 59 57 60 64 63 58 60 58 46 31 17 10 8 6 4 1 0 0 0 0 0 3 15 31 33 60 110 132 133 120 110 120 141 155 156 138 114 95 84 79 82 92 101 105 102 100 105 105 95 89 93 100 102 93 78 66 55 38 16 4 4 8 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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44 42 40 36 33 31 28 26 26 28 29 29 28 26 26 26 29 32 36 38 38 35 29 28 38 51 56 47 31 22 24 27 21 12 8 8 10 12 14 13 8 4 3 4 4 5 7 7 7 7 5 4 6 9 11 11 13 18 25 29 31 28 22 14 10 8 7 5 3 3 4 5 6 9 10 10 8 8 7 7 7 8 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 2 0 0 1 3 6 6 7 8 7 6 5 6 6 6 6 5 5 4 4 4 3 3 3 3 2 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 1 1 2 2 3 4 10 21 32 46 57 54 34 16 8 11 30 56 61 57 50 52 54 49 40 31 21 13 12 12 11 12 14 18 26 29 24 13 19 33 46 48 43 38 32 25 17 11 7 4 2 0 0 0 0 0 0 0 0 0 1 4 7 10 12 12 11 11 9 6 4 3 3 3 2 2 2 1 0 5 22 48 80 102 100 85 71 61 52 42 32 27 29 32 31 28 27 29 31 31 26 18 12 12 14 20 33 50 76 112 126 113 88 70 62 57 45 37 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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8 15 27 38 43 45 44 42 42 46 53 58 63 62 55 46 38 36 38 40 41 41 39 33 28 34 43 49 59 60 60 61 57 52 45 38 37 36 36 35 32 24 18 13 10 8 10 13 15 14 14 13 11 12 17 22 22 19 17 17 22 30 35 33 26 20 14 10 8 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 4 2 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 2 1 0 0 1 1 1 1 2 2 1 0 1 3 5 6 7 6 6 6 6 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 2 11 14 20 14 5 8 13 34 59 64 52 46 45 46 47 48 51 52 52 54 56 58 52 44 43 50 55 59 57 54 53 55 56 56 56 54 47 41 40 36 32 29 26 23 21 20 19 16 13 6 1 1 0 0 0 0 2 9 19 27 35 32 21 11 5 1 0 0 1 1 0 0 1 3 9 28 71 110 122 116 100 85 74 66 60 57 52 44 42 48 66 79 74 65 49 34 32 47 66 80 89 99 110 118 110 85 62 51 42 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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22 21 20 18 17 14 12 9 8 10 13 16 24 40 60 78 90 90 82 72 63 58 54 45 38 35 38 43 46 46 42 33 33 41 49 50 43 36 34 38 43 47 49 48 42 34 26 23 25 24 19 13 11 13 17 23 28 31 31 29 24 21 22 27 31 30 28 25 21 18 16 12 8 4 3 3 5 7 10 10 6 4 4 5 5 5 5 5 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 2 2 2 2 2 1 2 3 4 7 10 13 13 12 12 13 12 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 18 37 54 50 41 37 36 35 32 26 20 14 10 10 9 7 6 6 6 6 7 10 12 15 24 41 54 61 69 80 81 74 64 60 58 54 54 54 49 44 41 40 36 32 25 18 11 6 5 9 16 17 12 9 18 39 52 43 20 7 1 0 0 0 0 0 0 0 0 0 6 21 48 92 130 139 135 125 122 131 139 140 133 125 120 120 106 85 65 51 53 64 76 88 98 105 112 116 113 98 82 70 68 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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