Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan 5 4 4 4 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 2 3 4 4 4 3 3 3 3 4 4 4 3 1 1 1 2 2 2 2 2 2 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 4 5 5 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 5 4 4 4 3 4 5 6 7 7 5 5 6 7 7 7 6 6 5 5 4 3 1 0 2 8 7 7 6 3 -4 5 4 2 4 5 3 8 11 7 5 5 5 6 8 8 4 6 8 6 3 7 7 1 -1 3 9 8 4 2 9 17 10 -3 -4 0 3 4 1 -0 4 3 0 -3 -4 -3 2 7 10 5 1 3 5 5 3 -0 -1 1 3 4 10 28 41 30 14 8 4 3 3 3 3 3 3 3 3 4 5 5 6 8 10 10 10 12 14 14 12 9 6 4 2 2 2 2 2 3 4 4 4 4 4 4 4 4 3 3 3 4 5 5 4 5 4 4 4 3 3 4 4 4 3 4 4 4 3 4 4 5 4 4 4 4 4 3 2 3 3 4 4 4 4 5 4 4 4 5 5 5 4 4 4 4 4 4 3 3 2 3 4 5 5 4 4 5 7 11 13 13 10 7 5 4 4 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 8 15 20 15 11 11 13 13 6 -0 -3 -7 -9 -3 1 1 6 6 3 4 5 4 2 -1 -6 -6 -4 -4 -3 -0 3 5 5 6 7 8 9 10 12 14 13 11 9 8 7 8 8 9 9 8 9 9 8 10 13 15 13 11 8 6 7 7 7 7 8 8 8 6 4 4 4 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 11 9 5 4 4 4 4 4 4 5 4 4 4 3 4 4 5 5 5 6 5 5 4 3 3 2 3 4 4 4 4 3 3 3 3 4 4 3 2 2 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 7 6 5 5 4 4 3 4 5 6 7 7 6 5 6 6 7 6 6 6 5 4 3 2 -1 0 5 9 8 8 13 7 1 5 2 5 5 5 5 6 5 7 10 10 8 11 16 11 7 8 7 5 6 11 8 2 2 6 11 11 7 -1 1 13 11 1 -3 -2 7 10 5 3 4 4 2 3 1 -3 0 8 10 5 0 1 3 4 5 6 6 7 9 14 23 35 33 19 8 6 4 3 3 3 3 3 3 3 3 3 4 5 6 7 9 9 9 9 11 12 13 11 9 7 5 4 3 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 5 6 5 5 5 4 3 4 5 6 5 4 5 5 5 4 5 5 6 5 5 5 5 2 -2 -1 3 4 3 3 4 5 5 5 4 5 5 7 6 5 5 5 4 4 4 3 3 3 3 4 5 5 4 5 6 7 9 12 12 10 7 5 5 4 4 3 3 3 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 8 14 17 16 13 12 13 12 10 9 4 2 2 3 4 6 7 6 7 7 5 3 2 1 -2 -1 -2 -3 -2 1 4 5 5 4 5 6 7 9 11 11 9 8 7 7 7 8 8 8 9 9 9 10 11 12 10 8 6 5 6 6 4 4 4 5 6 5 4 4 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 15 13 9 6 5 4 4 4 4 5 4 3 3 3 4 3 4 5 6 6 6 5 5 4 3 3 4 5 5 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 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 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 8 9 9 9 8 6 6 5 5 4 3 4 5 6 8 8 7 5 5 6 7 7 6 5 5 4 3 1 -1 5 12 7 4 9 17 6 3 4 0 5 8 6 5 2 2 4 7 8 6 8 11 9 6 6 5 5 8 10 7 6 7 9 10 11 10 7 6 7 6 3 3 5 10 10 7 5 6 8 5 4 4 2 2 6 7 4 1 1 1 3 7 10 12 13 16 26 36 35 21 9 6 4 3 3 3 3 3 3 3 3 3 3 4 5 6 7 8 9 8 8 8 10 11 12 11 10 9 8 7 6 6 5 5 4 5 5 5 4 4 3 3 2 2 2 4 4 4 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 -3 -5 1 3 1 -0 3 6 6 6 5 5 6 6 6 5 4 5 5 4 4 3 2 3 3 4 4 4 5 5 5 6 8 10 11 10 7 5 5 5 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 4 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 5 6 11 13 13 11 8 8 7 6 5 5 5 5 6 5 4 5 7 7 4 3 4 6 5 4 2 0 0 2 4 4 4 5 4 5 6 7 8 9 8 8 9 9 9 7 6 7 8 9 9 10 11 9 6 4 4 5 6 6 3 2 3 3 4 4 3 3 4 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 15 15 13 10 7 6 5 4 4 5 5 3 3 4 4 3 4 5 6 6 6 6 6 5 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 7 9 10 11 11 9 7 6 6 5 4 4 4 4 6 8 8 7 6 5 6 7 7 6 5 5 4 3 -0 -3 3 12 6 1 6 10 6 4 4 4 3 8 9 4 -1 3 4 3 3 0 0 2 4 3 4 4 3 5 5 4 7 10 9 7 8 9 12 15 12 8 4 6 13 12 6 2 3 10 13 9 2 -1 -0 3 5 5 3 2 2 2 4 7 11 15 21 28 37 39 26 11 5 5 4 3 4 3 3 3 3 3 3 3 3 4 5 6 6 7 8 8 7 7 8 9 10 10 11 11 11 10 9 7 6 5 5 5 5 5 4 4 3 2 2 2 3 5 5 4 5 6 5 4 5 6 5 4 5 6 5 6 6 6 6 6 6 6 6 6 5 5 2 -5 -4 2 2 -0 2 5 6 6 6 6 7 6 5 4 4 5 5 4 3 2 2 3 4 4 4 5 5 5 5 6 7 9 10 10 8 6 6 5 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 5 5 4 5 5 5 5 5 4 4 3 3 3 3 3 4 6 9 9 6 4 4 3 3 3 4 7 8 6 3 3 5 6 5 5 5 6 6 5 5 3 2 4 4 4 4 4 5 6 6 7 7 7 8 9 11 12 11 9 6 6 8 8 8 10 10 7 4 2 2 4 6 6 4 4 4 4 4 4 3 3 3 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan 10 12 13 12 10 9 7 6 6 6 5 4 3 3 3 4 4 5 6 6 6 6 6 6 4 4 4 3 3 3 3 4 4 3 3 3 2 3 3 3 3 4 4 4 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 4 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 4 4 3 3 3 4 4 4 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 10 12 13 12 10 7 6 6 5 5 5 4 5 6 6 8 8 7 6 6 6 7 6 6 5 5 4 0 -5 -3 6 8 6 7 4 3 8 7 6 2 6 12 6 -1 4 8 6 2 0 -1 2 2 2 4 2 1 2 4 3 7 9 7 6 7 8 10 12 13 13 9 9 11 10 10 4 6 10 11 10 6 2 2 3 3 3 2 3 4 3 3 6 11 17 28 38 38 27 13 6 5 4 3 4 4 4 4 3 3 3 2 3 3 4 5 6 6 7 7 7 7 7 6 6 7 9 10 11 12 11 10 8 7 6 6 5 5 5 4 3 2 2 3 4 5 6 6 7 6 6 5 5 5 5 4 3 4 5 5 5 5 6 6 6 6 6 6 6 6 5 4 -0 -5 -1 6 7 4 5 7 7 7 7 7 6 4 4 5 6 5 4 3 3 2 2 3 4 4 5 5 5 5 6 7 8 9 10 9 7 6 6 4 3 3 3 3 3 3 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 2 1 1 1 1 -0 0 2 4 6 6 5 4 4 3 3 4 6 9 9 6 6 6 6 8 8 7 6 5 5 5 4 3 3 4 4 5 4 5 7 7 8 8 7 8 9 13 16 14 10 7 6 7 8 8 9 9 7 3 1 1 3 5 5 4 5 4 4 5 5 4 4 4 4 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 3 5 7 9 11 11 10 10 9 8 7 6 5 4 4 4 4 5 5 6 6 7 6 6 6 6 4 4 3 3 3 3 3 3 3 3 3 2 3 3 3 3 4 4 4 4 3 3 3 3 3 3 2 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 3 3 4 4 4 4 3 3 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 3 4 3 3 3 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 6 7 7 7 7 8 8 11 14 14 12 10 8 6 6 6 6 5 4 4 5 6 8 8 8 7 6 6 6 6 6 5 6 5 2 -2 -0 7 9 6 7 3 0 9 10 5 2 3 7 6 3 4 8 8 4 3 1 1 -0 1 2 1 2 5 7 6 6 5 5 5 4 5 9 7 7 10 10 8 6 5 9 10 9 6 6 8 8 8 7 4 4 4 4 7 7 5 4 5 8 16 28 34 25 13 6 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 5 5 6 6 6 6 7 7 6 6 6 7 9 10 10 11 10 9 8 7 6 5 5 4 3 3 3 3 4 5 5 5 7 8 6 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 7 7 8 7 6 6 5 5 0 -2 3 8 6 5 6 7 8 8 6 4 4 4 6 6 5 4 5 4 3 2 3 4 4 5 5 5 5 5 7 8 9 10 10 9 7 6 5 3 3 3 3 3 2 3 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 1 -1 -3 -3 -1 -1 -1 0 1 2 4 5 6 5 5 4 4 5 7 8 8 8 7 9 12 10 9 6 6 5 4 4 4 3 4 4 5 5 5 7 9 10 9 8 8 10 14 16 15 11 7 6 6 7 7 8 8 6 3 1 1 2 3 4 4 3 4 4 5 6 6 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 7 4 4 5 7 8 10 10 10 10 9 8 7 6 6 6 5 5 5 5 6 6 5 6 6 6 5 4 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 6 6 7 8 8 7 7 9 12 15 15 13 11 8 7 6 7 7 5 5 4 4 6 7 9 9 7 7 6 6 6 6 6 6 6 4 3 4 9 8 4 5 6 4 6 4 2 4 5 3 5 5 5 7 5 2 5 5 1 -2 0 1 0 3 6 6 7 5 4 4 2 -1 -0 8 9 5 3 5 3 5 4 2 5 5 5 4 2 6 8 9 6 5 7 8 9 7 5 3 3 6 14 26 24 13 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 6 6 7 7 6 6 6 7 8 9 9 10 10 9 8 7 6 5 4 4 4 3 4 4 4 4 5 4 5 6 6 4 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 8 9 8 7 6 6 6 6 1 -2 1 4 3 4 6 9 10 8 4 4 5 6 6 5 5 5 5 3 3 3 3 4 5 6 6 5 5 6 7 8 10 11 11 10 7 4 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 5 5 4 1 -1 -1 -0 2 2 2 2 2 3 4 5 5 5 6 5 5 6 6 5 6 6 10 12 10 8 7 6 5 5 4 4 3 4 5 5 5 5 6 9 10 10 9 8 10 12 14 13 10 7 5 5 5 5 5 6 5 2 1 1 1 1 2 3 2 3 3 4 5 6 6 6 5 5 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 13 8 4 3 3 4 6 8 10 10 10 9 9 8 8 8 7 6 5 5 5 4 5 5 4 5 4 4 4 4 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 2 2 2 2 3 2 3 3 3 4 4 4 4 4 3 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 3 3 3 4 4 3 4 4 4 5 5 5 4 4 4 4 4 3 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 7 10 13 14 14 12 10 8 7 6 7 8 6 5 4 4 5 7 8 9 9 8 7 6 6 6 6 5 5 5 5 4 5 6 5 8 10 7 6 3 2 4 5 3 4 6 6 8 2 -1 4 7 4 1 2 1 1 3 6 5 6 5 6 4 -0 -4 -2 7 11 7 2 1 0 6 5 1 3 5 5 4 -1 2 5 4 4 7 11 10 6 3 2 2 3 6 17 25 18 8 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 6 6 6 6 6 7 7 8 9 9 10 10 9 7 6 5 5 4 5 4 4 4 4 4 4 4 4 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 5 5 6 7 8 9 8 7 7 7 8 7 2 -0 2 3 2 3 6 9 9 6 5 6 7 7 6 5 4 4 4 4 3 3 4 5 6 6 6 5 5 6 7 8 10 12 12 9 5 3 3 4 3 3 3 3 3 4 4 4 4 5 5 6 6 5 6 6 5 4 5 4 4 4 3 3 4 5 6 7 7 4 3 2 3 4 5 5 4 4 4 3 5 5 4 5 6 5 6 5 2 2 5 9 10 8 7 6 6 5 5 5 4 4 4 5 6 6 5 4 6 8 8 8 8 9 11 12 11 9 7 5 5 5 4 3 3 3 1 1 1 0 1 2 2 2 2 2 2 3 4 6 6 6 6 6 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 15 13 9 4 2 1 3 5 7 8 7 7 8 8 9 9 9 8 6 6 5 4 4 4 4 4 4 4 3 4 4 3 3 2 2 2 3 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 7 8 11 13 13 12 11 10 9 7 7 7 7 7 6 5 4 4 6 7 8 9 8 7 7 6 6 6 5 5 5 5 4 3 4 6 9 9 8 7 6 8 10 8 4 2 5 8 8 3 0 2 5 8 6 6 5 5 5 5 4 4 6 7 6 0 -3 1 7 11 8 3 -0 1 3 4 5 8 8 6 4 3 4 5 0 1 6 10 6 2 1 2 5 6 11 22 23 13 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 5 5 5 6 6 5 5 6 7 8 8 9 10 10 9 8 6 6 5 5 5 5 4 4 3 3 3 4 4 7 10 10 8 7 6 6 7 7 7 6 5 6 6 6 5 4 5 5 6 7 9 8 7 7 8 8 6 2 1 3 1 1 2 4 5 6 6 5 5 6 6 6 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 9 11 12 11 8 5 4 3 3 2 3 2 3 3 4 4 4 5 5 6 6 6 6 6 6 5 5 4 4 4 4 4 5 8 8 7 7 6 5 4 4 4 4 5 5 5 5 4 5 5 5 5 4 4 6 6 3 2 4 7 8 7 7 6 6 6 6 6 5 5 4 5 7 8 7 5 4 5 6 6 6 7 9 10 10 9 8 6 6 5 4 2 1 1 1 0 0 1 2 2 3 3 2 1 0 0 1 3 4 5 5 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 8 12 14 13 9 5 2 2 3 4 5 4 5 6 7 7 8 9 9 8 7 6 5 4 4 4 4 4 4 3 4 4 4 4 2 2 2 2 3 4 3 3 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 4 4 3 4 4 5 4 5 5 4 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 9 11 11 10 11 10 10 9 7 7 7 7 7 6 6 4 4 5 7 8 8 8 8 7 6 6 6 5 5 5 5 4 4 6 7 7 6 5 3 3 8 10 8 5 4 4 5 6 6 5 4 5 10 11 12 12 10 7 5 5 4 4 5 5 2 2 5 7 8 7 3 0 4 4 6 8 6 5 5 1 3 5 7 6 4 7 7 4 1 2 6 8 8 14 23 19 9 5 5 4 4 4 3 3 3 3 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 6 6 6 5 5 5 6 7 8 8 9 9 8 8 7 7 6 6 5 4 4 3 3 2 3 4 5 8 12 14 13 12 11 9 8 8 7 6 5 5 4 5 6 5 4 4 5 6 8 8 6 6 7 8 7 4 3 3 2 1 -0 -0 1 3 4 3 3 4 6 6 5 5 5 5 5 5 4 4 4 4 5 6 6 5 5 5 7 8 10 11 11 9 6 4 3 2 1 1 2 2 3 4 4 5 5 5 6 6 5 5 6 6 5 5 4 4 4 4 6 10 11 8 6 6 5 4 3 4 4 5 5 5 5 5 5 5 6 5 3 3 5 8 7 4 5 6 6 7 7 7 7 7 7 7 6 5 4 4 7 10 9 9 8 6 6 5 4 4 6 8 9 10 10 9 8 6 5 3 2 1 1 1 2 2 3 3 4 3 3 2 -0 -2 -2 0 2 3 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 4 7 11 13 12 9 6 4 3 3 4 3 3 4 5 6 6 7 7 8 8 7 6 5 5 5 5 4 4 5 4 4 4 4 3 2 2 2 3 3 3 3 2 1 1 1 2 2 2 2 2 2 3 3 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 5 6 6 6 5 5 5 5 5 5 5 4 5 5 5 5 6 6 6 7 7 7 8 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 4 4 5 6 7 8 9 8 7 7 7 6 6 6 5 5 5 6 10 12 8 6 4 2 2 6 8 7 6 4 3 2 4 9 9 6 5 6 13 16 14 9 5 4 7 6 3 3 3 4 8 8 6 7 6 4 3 5 5 8 7 4 4 3 2 2 2 6 9 11 11 10 5 3 4 6 3 5 15 22 14 6 5 5 4 4 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 6 6 5 5 6 6 7 8 8 8 8 8 7 7 6 6 5 4 3 3 3 2 3 3 4 6 8 12 15 15 15 15 12 11 10 9 8 6 5 4 5 5 6 5 5 6 7 7 6 7 8 9 8 7 6 4 4 2 1 -1 -0 1 2 2 2 3 4 5 6 6 6 6 6 6 5 5 4 5 5 5 5 5 3 2 3 6 8 9 10 11 9 7 5 4 2 1 -0 -0 1 2 4 4 5 5 5 5 4 4 5 5 5 5 4 4 4 4 6 9 11 8 6 7 6 5 5 4 4 5 5 5 5 5 5 6 7 7 4 4 5 7 7 5 5 5 6 6 6 6 7 7 7 7 6 5 4 4 6 9 10 10 11 9 6 4 2 1 3 5 7 9 11 11 10 8 7 5 3 3 2 2 3 4 4 5 5 4 4 3 1 -1 -2 -1 -0 0 0 1 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 3 5 7 8 9 10 9 6 5 4 4 3 3 3 3 4 4 5 5 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 3 2 2 2 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 4 4 4 5 6 6 5 5 5 4 5 4 5 5 5 5 5 5 5 6 7 7 7 7 8 9 10 10 11 10 9 9 9 8 7 7 7 6 6 6 5 4 4 5 7 9 9 9 7 6 7 7 6 5 5 6 6 10 16 18 12 7 2 1 5 7 7 8 6 5 2 3 6 8 9 6 4 2 9 13 13 8 2 2 6 10 5 2 3 5 8 7 4 4 4 4 5 4 5 6 3 3 2 5 6 4 1 1 6 11 13 12 6 2 3 2 0 5 17 19 10 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 5 5 5 6 6 6 5 5 5 6 7 8 8 9 8 8 7 6 6 5 5 4 4 3 3 3 3 3 4 4 5 7 9 10 11 12 12 11 11 11 10 8 6 4 4 4 6 6 6 6 9 12 14 13 12 12 10 8 6 5 6 5 3 1 0 1 2 2 2 3 3 5 6 6 6 6 7 7 6 5 5 5 4 4 4 5 4 0 -4 -3 3 7 9 9 10 9 9 8 7 5 3 1 -1 -1 1 2 3 4 5 4 3 3 3 4 5 3 2 3 3 3 5 8 9 7 6 7 6 6 5 5 5 4 5 5 5 4 4 6 7 7 5 4 4 5 5 5 5 6 6 6 6 6 7 7 6 6 6 5 4 3 4 5 7 9 9 9 7 5 2 0 0 2 4 6 7 9 9 9 8 6 5 5 4 4 5 6 6 6 6 6 6 5 4 2 0 -0 -0 -0 -0 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 nan nan nan nan nan 4 5 5 4 4 6 7 7 6 6 4 4 4 3 2 2 3 4 5 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 3 4 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 7 7 7 8 8 9 10 11 9 9 10 10 10 8 7 7 7 7 6 5 4 5 6 7 8 9 9 7 7 7 7 6 6 5 6 6 10 19 17 8 5 1 2 6 6 -0 3 7 9 5 5 5 7 7 6 4 1 4 9 12 10 5 2 3 7 8 5 5 6 4 5 4 2 2 3 4 3 6 4 2 3 3 8 7 3 -1 -1 5 9 12 11 6 2 2 2 3 11 19 16 8 5 4 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 5 4 5 5 6 7 6 6 5 5 6 6 7 8 7 7 7 6 6 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 6 7 7 7 7 6 5 4 5 8 8 9 11 14 15 15 16 16 16 15 12 8 5 6 6 6 5 4 2 1 1 2 2 2 3 4 5 6 5 4 6 7 7 6 5 5 4 4 4 5 6 3 -4 -8 -5 3 7 7 8 8 9 10 10 10 9 7 4 -0 -2 -2 -1 1 2 3 3 2 2 3 3 2 1 0 0 2 4 5 7 7 6 7 6 4 4 5 6 6 6 5 5 4 4 5 6 7 6 4 4 4 4 5 5 6 6 6 6 7 7 7 7 7 6 5 4 3 3 3 4 7 9 9 8 6 5 2 1 2 3 4 5 5 7 9 8 8 7 7 7 7 6 6 7 7 7 8 8 9 9 6 5 4 3 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 nan
nan nan nan nan nan 3 4 5 5 3 2 2 2 4 6 6 6 7 6 4 2 2 2 4 5 4 3 3 4 4 4 4 4 4 4 4 3 2 3 4 4 4 4 3 2 2 1 1 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 5 5 6 7 7 7 8 8 8 10 10 9 9 10 11 10 9 7 7 7 7 7 6 5 5 6 7 8 9 8 8 8 7 7 6 6 5 6 6 8 12 8 3 1 1 7 4 4 -1 5 11 9 6 3 3 7 6 6 7 5 4 7 10 11 10 7 3 1 5 7 7 7 4 6 6 3 3 3 5 4 5 4 5 5 9 11 7 -1 -3 1 5 8 11 11 6 2 3 4 8 15 19 13 6 4 4 4 4 3 3 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 6 7 7 7 6 5 5 5 6 6 6 6 6 6 5 4 4 4 3 3 2 2 3 2 2 2 1 1 1 1 1 1 1 3 4 4 4 3 2 3 6 10 11 12 14 14 11 10 10 11 12 12 11 6 4 5 5 6 7 7 5 3 1 1 2 2 2 2 2 3 4 2 0 3 6 6 6 6 5 5 5 6 7 8 5 0 -4 -1 4 5 6 6 7 8 9 10 12 12 10 7 2 -2 -5 -5 -3 -0 3 2 -1 -1 1 2 2 2 2 2 5 6 5 5 6 7 6 4 2 4 7 7 6 6 4 3 3 4 5 7 7 5 4 4 4 5 5 6 6 6 7 8 8 8 8 7 6 5 5 3 2 2 2 4 7 11 10 9 8 5 4 4 4 4 5 5 6 7 7 8 9 9 9 9 8 7 7 8 8 9 11 14 17 17 16 13 7 4 3 2 2 2 1 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 4 5 4 2 1 1 1 3 4 6 8 9 6 3 1 1 3 4 4 4 3 3 3 3 3 3 3 4 4 3 3 4 4 5 5 5 4 3 2 2 2 3 3 3 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 5 6 7 7 7 8 8 9 10 10 9 8 10 10 10 8 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 8 7 6 5 5 5 6 6 6 4 6 2 6 8 1 -1 3 5 12 7 6 2 2 5 3 4 10 11 7 5 8 11 11 10 7 2 3 6 5 6 7 7 6 6 5 6 7 5 4 5 7 7 11 14 11 3 2 4 6 7 9 10 6 3 3 5 11 18 18 11 5 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 5 6 7 7 7 6 4 4 4 4 5 4 4 4 4 3 2 2 2 2 1 1 1 1 1 0 0 0 0 0 1 1 2 3 4 5 6 6 5 3 4 6 9 9 7 6 6 7 7 6 7 7 7 5 5 5 5 5 6 7 6 5 4 2 2 1 2 3 1 -0 2 1 -5 -5 1 6 7 7 7 6 6 7 9 11 9 7 5 3 3 4 4 5 5 5 6 7 9 11 12 12 10 5 -0 -6 -10 -8 -5 -3 -4 -3 -0 2 3 5 5 5 5 6 6 5 4 6 6 4 2 3 7 8 7 7 5 4 3 3 5 7 8 6 5 4 4 5 5 5 6 7 8 9 10 10 9 8 7 6 5 4 4 3 3 3 5 7 9 10 9 7 6 5 5 5 6 6 6 7 7 7 8 9 11 10 9 8 7 8 9 10 14 19 26 31 28 19 10 5 5 6 5 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 2 3 4 4 4 3 2 1 1 2 4 7 9 9 5 1 2 2 3 3 3 3 2 2 2 2 3 4 4 4 3 2 4 4 5 5 5 5 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 1 2 2 2 3 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 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 7 8 8 8 8 9 11 11 9 8 8 9 8 8 7 7 7 7 6 6 6 7 8 9 9 10 10 10 9 8 6 5 5 4 4 5 5 5 5 9 5 10 7 5 1 8 2 7 8 10 6 5 3 3 3 8 11 7 3 5 10 11 9 6 5 7 5 1 4 7 6 5 6 5 8 7 4 4 7 8 9 11 11 13 7 7 7 6 7 8 9 7 5 4 6 13 19 15 8 4 4 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 5 6 7 8 6 4 3 3 3 3 3 3 2 2 2 1 1 1 1 0 0 -0 -0 -0 0 0 1 1 2 2 3 4 5 6 6 7 8 8 5 3 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 6 6 5 5 4 3 2 4 6 7 4 3 4 -0 -6 -6 0 6 7 7 7 7 7 9 12 12 8 6 4 2 3 3 3 3 3 3 4 5 6 7 7 10 11 8 1 -6 -9 -8 -6 -3 -1 1 2 3 4 5 4 4 4 5 5 4 5 5 5 2 -1 4 7 7 7 5 4 4 4 4 6 7 7 6 5 5 5 5 5 5 6 8 11 12 11 10 9 8 6 5 5 5 4 4 3 4 5 6 8 8 8 7 6 6 6 6 7 7 7 6 6 7 9 10 11 10 8 8 8 9 12 15 18 25 35 30 17 11 7 6 8 8 7 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 4 4 3 3 5 6 6 4 2 1 2 3 7 9 7 4 3 3 2 2 2 2 2 1 1 1 2 4 4 4 3 2 3 4 4 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 4 5 5 5 5 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 7 8 8 8 9 9 10 11 11 9 8 8 8 7 6 6 6 6 6 7 7 7 8 9 10 10 11 10 10 9 7 6 6 4 2 3 4 5 5 6 8 8 8 5 7 8 11 5 8 13 12 10 8 4 5 3 3 5 2 -1 2 8 10 7 3 4 7 3 -0 3 4 5 8 6 4 7 7 4 4 7 8 9 9 8 9 9 10 5 3 6 7 7 7 6 6 8 15 18 12 6 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 4 4 4 4 5 5 6 7 6 5 4 3 3 3 3 2 2 2 1 1 1 0 0 0 0 0 0 1 1 2 3 3 4 4 4 4 5 5 4 5 7 7 5 4 4 4 5 5 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 5 5 4 7 10 10 9 10 8 1 -5 -6 -0 5 6 6 6 7 8 9 10 7 2 2 2 2 2 2 1 1 -0 -1 -1 1 2 0 1 7 10 10 7 4 3 2 2 3 3 2 2 2 3 3 3 3 4 4 5 5 5 6 5 -1 1 5 5 5 5 5 5 4 4 4 6 6 6 6 6 6 5 4 4 5 8 11 13 13 12 10 9 8 7 7 6 6 5 5 4 4 5 6 7 7 7 7 6 6 7 7 8 7 7 7 7 8 9 10 9 9 7 6 8 11 14 16 18 20 17 12 10 9 8 7 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 3 4 4 2 2 4 7 9 9 5 1 0 1 5 8 8 6 6 5 3 3 3 2 2 2 2 2 2 3 4 3 2 2 2 2 2 3 4 5 5 4 4 4 4 5 4 4 3 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 4 5 5 4 5 5 4 4 4 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 7 7 8 8 9 10 10 11 12 12 10 9 8 8 7 6 5 5 6 6 6 6 8 8 9 11 12 12 11 11 10 8 6 5 5 3 2 3 5 5 4 6 7 7 3 4 4 7 4 7 8 13 10 8 10 6 6 3 3 7 -2 -6 -0 5 8 7 3 2 5 3 2 2 2 5 8 4 0 2 5 5 5 7 7 9 9 6 6 10 9 2 -0 4 6 7 7 6 7 10 15 16 9 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 4 4 4 4 5 4 5 4 4 4 5 5 5 5 6 6 6 6 5 4 4 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 4 5 5 5 5 4 5 4 4 3 4 5 4 4 5 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 6 5 6 7 8 9 10 9 4 -0 -5 -5 -1 0 2 2 5 7 6 6 4 2 2 2 1 1 1 -0 -2 -3 -3 -3 -3 -2 -0 1 3 8 11 13 12 10 8 6 4 3 2 2 2 3 4 5 5 5 6 5 4 6 8 7 5 4 5 5 4 4 5 5 4 4 3 4 5 6 6 7 7 5 4 4 4 6 9 11 12 12 11 10 9 8 8 7 7 6 5 4 3 4 5 6 7 8 8 6 6 7 7 7 6 6 7 7 7 8 9 9 9 7 5 7 9 10 11 10 8 6 7 8 7 6 5 4 4 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 3 4 4 2 1 2 5 9 11 9 4 1 2 4 6 6 6 6 6 5 5 4 3 3 3 2 2 2 3 3 3 2 1 2 2 2 2 3 4 3 3 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 2 3 4 3 4 4 3 3 3 3 4 4 4 4 3 3 3 3 4 4 3 3 3 3 3 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 4 4 5 5 4 4 5 5 5 5 6 6 7 7 8 9 9 10 12 13 13 13 12 10 9 8 7 6 5 4 4 4 5 6 6 8 9 10 12 13 13 12 11 9 7 5 5 4 3 2 4 6 6 6 7 8 3 0 3 2 7 2 3 0 7 5 5 8 5 5 4 8 10 0 -6 -1 3 6 9 8 4 2 3 4 2 1 4 4 0 -0 1 3 5 4 5 7 10 8 5 6 9 7 2 2 4 5 6 7 6 5 10 15 15 8 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 5 5 4 4 5 5 5 5 4 5 6 6 6 5 5 4 4 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 3 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 7 6 5 5 5 5 8 9 6 2 -1 -3 -1 -0 0 -0 1 4 5 4 4 2 2 2 2 2 1 0 -1 -1 -0 0 1 3 5 6 5 6 9 9 9 9 7 5 4 4 4 4 5 6 6 6 7 8 8 7 4 4 6 6 6 6 6 5 4 4 4 5 5 5 4 4 5 5 6 7 6 6 4 4 4 5 7 9 10 11 12 12 11 10 8 7 7 7 7 5 3 4 6 7 8 9 9 8 6 6 6 6 6 6 6 6 6 7 8 9 9 6 5 5 5 5 5 4 3 3 5 6 5 3 3 4 4 4 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 3 4 3 2 1 -0 1 3 5 8 9 7 5 4 4 4 4 3 4 5 5 5 4 4 4 4 4 3 2 3 3 3 2 2 2 2 3 2 3 3 3 3 3 4 4 4 4 3 4 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 4 4 4 3 3 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 5 5 5 5 5 5 4 4 4 5 5 4 4 5 6 6 5 5 6 7 8 9 9 10 12 14 15 14 13 12 11 10 9 7 5 4 4 4 4 5 5 6 7 9 11 13 14 13 12 10 8 6 5 5 4 2 3 4 5 6 7 9 9 4 1 1 3 8 13 6 -3 0 1 5 5 5 3 6 10 12 6 1 -2 2 5 7 8 7 3 4 4 2 2 3 1 1 4 4 4 4 3 4 7 8 7 7 9 8 3 3 7 5 5 6 7 6 4 8 15 15 8 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 7 11 12 7 3 3 2 2 2 2 -1 -1 2 3 3 3 2 2 4 3 3 4 5 4 4 5 6 6 7 7 6 5 5 5 6 7 6 4 3 6 9 10 10 9 9 9 9 7 7 8 6 3 5 5 6 6 6 6 4 3 5 7 9 8 4 3 4 6 7 7 6 6 5 3 3 5 6 7 8 10 11 12 12 11 8 7 6 6 7 7 5 4 6 7 8 10 10 9 7 6 6 6 6 6 6 6 6 6 7 8 8 6 5 4 3 2 3 3 2 2 3 4 4 2 2 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 5 4 3 1 -0 -0 1 1 2 4 6 7 7 7 6 5 4 3 3 3 4 4 4 3 3 4 5 4 3 2 2 2 1 1 2 2 3 3 3 3 2 3 3 4 4 3 3 3 4 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 3 3 4 3 3 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 5 4 4 4 5 7 6 4 5 7 7 8 8 9 12 15 17 16 15 13 12 12 11 9 7 5 4 4 4 4 4 4 6 8 9 11 13 14 13 11 9 7 6 6 5 3 2 2 4 4 4 5 6 9 9 4 1 3 8 22 14 -0 -4 -2 4 3 7 3 4 12 16 12 7 -0 1 6 4 4 6 4 4 5 3 3 4 3 5 7 7 4 2 4 6 7 7 6 10 12 8 3 4 7 5 5 7 7 5 5 7 14 15 8 4 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 4 4 4 4 4 5 5 5 5 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 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 4 5 6 10 14 12 8 5 4 2 3 3 1 0 -1 -1 1 1 1 2 3 5 6 7 8 7 6 6 6 5 5 6 5 3 3 3 4 6 7 6 5 9 14 15 12 8 7 8 6 4 4 6 5 5 5 5 6 7 6 6 5 4 5 10 13 11 6 4 4 6 7 7 7 6 5 3 3 5 6 7 7 8 10 10 10 10 8 7 7 6 6 8 8 6 7 7 9 10 11 9 7 6 6 6 6 6 6 6 6 6 7 7 7 6 5 5 4 4 4 4 3 3 4 4 5 3 3 3 4 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 4 4 3 1 -0 -1 0 1 1 2 2 4 7 9 8 6 5 3 2 3 3 3 3 2 2 3 4 4 3 3 2 2 1 1 2 2 3 3 3 3 3 3 3 4 3 3 4 4 4 4 5 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 6 7 6 5 5 7 8 8 8 10 16 20 20 16 13 12 11 10 10 8 6 5 4 4 4 3 4 4 6 7 9 11 12 13 12 10 8 6 5 4 3 2 2 3 4 3 4 4 2 6 9 6 4 4 7 18 15 5 0 -2 3 4 6 2 0 12 16 14 9 1 1 5 3 -0 2 5 5 5 3 4 5 5 6 7 9 6 2 5 7 8 6 5 9 11 8 6 7 6 4 6 8 6 4 5 8 14 14 8 3 3 4 3 3 3 3 3 4 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 8 11 13 12 8 7 5 2 1 1 2 2 0 -0 0 0 1 2 4 4 5 5 6 6 6 6 5 5 5 5 4 3 3 3 4 7 8 7 9 14 14 9 5 4 3 3 3 3 4 5 5 5 5 6 6 6 6 6 5 5 9 13 12 7 4 4 5 7 8 8 7 5 4 4 4 5 6 7 8 8 9 9 6 7 7 7 8 7 7 8 7 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 7 7 7 6 5 5 6 6 6 6 6 5 6 6 5 4 4 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 0 2 3 3 2 0 -0 0 1 2 1 1 2 5 8 8 7 6 4 3 2 2 2 3 2 1 1 2 3 3 3 3 2 1 1 1 2 2 3 4 4 4 3 3 3 4 3 4 5 5 5 5 4 4 4 4 4 5 5 5 6 6 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 4 4 4 5 7 7 6 5 6 7 8 8 8 14 24 26 19 12 10 9 8 7 7 6 5 4 4 4 5 4 4 5 6 6 8 10 12 12 11 9 7 6 5 3 2 1 2 5 5 5 7 8 3 2 4 7 8 6 6 11 12 7 3 4 7 8 5 2 -2 8 13 11 9 4 3 4 2 -2 -1 6 9 5 4 5 7 7 7 8 10 7 2 4 8 9 7 6 9 10 8 9 8 6 6 7 8 5 3 4 9 15 14 8 4 3 3 3 3 3 4 3 4 4 3 4 4 3 3 3 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 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 3 4 3 3 4 4 5 4 4 4 3 3 4 4 4 4 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 6 6 5 6 5 5 5 4 4 4 5 5 6 7 7 9 13 14 13 12 8 5 3 3 3 3 2 3 2 2 3 3 2 3 5 6 6 6 6 5 5 4 5 5 4 4 3 4 6 8 7 7 9 8 5 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 4 5 10 10 8 6 4 5 6 8 8 8 6 5 4 4 5 6 7 7 7 8 9 8 6 7 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 8 7 5 5 6 6 6 6 7 7 8 7 6 7 6 5 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan -0 1 2 2 1 1 1 1 2 2 2 2 2 4 5 6 6 6 5 5 3 2 3 3 2 1 1 1 2 3 3 3 2 2 1 1 1 3 3 4 4 4 3 3 3 4 4 5 6 6 5 4 4 5 5 5 5 6 5 5 5 5 5 4 4 4 4 4 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 7 7 6 6 6 7 8 9 11 24 33 24 12 7 7 6 5 4 5 5 5 4 4 5 5 4 5 5 6 6 8 9 10 10 9 8 7 6 4 2 1 1 4 4 4 9 9 11 7 2 2 6 5 7 8 8 8 4 2 7 10 10 7 2 -1 4 10 10 8 8 7 6 2 -2 -1 7 8 6 4 5 8 9 8 10 10 6 2 3 7 9 7 7 12 13 11 11 7 5 6 7 6 5 3 4 10 18 16 8 4 3 3 3 3 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 4 4 4 4 3 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 5 5 6 6 7 10 12 13 15 15 13 10 9 7 6 6 7 5 4 4 4 4 5 5 5 5 5 5 4 4 4 5 6 7 6 5 5 6 7 7 6 6 4 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 6 5 6 6 7 6 5 5 5 6 7 8 8 6 4 4 4 6 7 7 7 8 9 9 7 7 7 7 7 6 6 7 8 9 10 9 8 8 7 8 9 9 9 7 6 6 6 6 7 7 8 8 8 6 5 5 4 4 4 5 6 7 7 7 9 8 7 6 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 2 1 1 2 2 2 2 2 2 2 3 2 2 2 2 3 3 4 5 5 5 3 3 3 2 1 0 1 1 2 3 3 3 2 2 1 2 3 3 4 4 4 3 4 4 4 5 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 4 4 3 3 3 4 4 3 3 2 2 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 5 4 4 4 4 4 4 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 6 6 7 7 9 11 17 33 31 9 2 6 6 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 8 9 10 9 9 7 6 4 2 1 2 3 4 4 5 9 9 10 8 4 3 4 3 5 5 5 6 3 1 4 7 8 9 6 1 1 7 9 10 10 10 10 5 -2 -1 5 7 5 3 3 6 7 8 9 9 5 4 6 6 6 5 7 11 14 15 15 8 5 6 6 5 6 5 6 11 18 18 10 5 3 3 3 3 4 4 4 4 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 3 3 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 4 4 5 5 6 6 7 7 6 6 6 5 6 6 6 6 6 5 5 5 5 6 6 8 11 14 16 15 14 14 12 12 12 9 6 5 5 5 5 7 8 7 6 7 8 7 8 7 7 9 9 6 4 5 6 6 5 4 4 3 4 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 7 6 6 4 4 5 6 5 5 5 6 6 7 8 8 6 5 5 5 6 6 7 8 9 9 7 6 7 6 5 6 6 6 7 8 9 9 9 8 7 7 8 9 10 8 6 6 6 6 7 7 8 8 8 8 7 6 5 5 4 4 4 4 4 5 7 8 8 7 6 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 6 5 4 3 2 2 2 2 2 2 2 2 3 2 2 2 2 1 2 4 4 4 4 3 3 3 1 1 1 1 1 2 3 2 2 2 2 3 3 4 5 5 5 5 4 4 5 5 6 6 6 5 5 5 5 6 6 7 7 6 6 5 5 4 3 3 3 2 2 2 2 2 1 2 3 2 3 3 4 4 4 3 4 4 4 4 5 5 4 5 5 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 8 11 14 22 30 16 -3 -2 5 4 2 2 1 2 3 4 5 5 5 6 6 6 6 5 6 7 8 9 8 8 7 5 3 1 3 5 5 3 5 6 5 6 6 6 8 7 5 6 6 2 2 5 4 3 3 3 5 9 10 6 5 7 9 10 9 10 13 11 7 3 4 4 1 4 4 5 6 6 7 7 4 5 8 6 2 2 5 7 12 18 19 12 5 3 2 4 7 10 7 10 18 18 10 5 3 3 3 3 3 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 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 4 4 4 3 3 3 4 4 4 3 3 3 4 4 5 5 5 4 5 5 5 5 4 4 4 4 4 3 4 4 4 5 6 7 7 7 7 6 6 6 5 6 6 6 5 5 4 5 5 5 5 6 7 8 11 13 13 14 13 12 13 14 11 8 8 8 8 10 11 11 11 11 12 13 12 11 9 8 7 5 4 3 5 6 5 4 3 5 6 5 5 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 7 5 4 4 5 5 4 4 5 5 6 8 9 7 4 4 5 5 5 6 6 8 9 8 7 6 5 5 5 5 5 6 7 8 9 9 9 8 7 7 8 8 9 7 6 6 7 8 8 8 8 8 9 8 7 7 6 5 4 3 3 2 2 3 6 6 5 5 5 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 8 7 6 5 4 4 3 3 2 2 2 2 2 3 4 3 2 1 1 2 3 3 3 4 4 3 2 2 1 1 1 1 2 2 2 3 3 3 4 5 5 5 5 6 5 5 5 5 6 6 5 5 4 4 4 5 6 7 7 6 5 5 4 4 4 4 4 3 2 2 1 1 1 1 2 2 3 4 3 3 3 4 3 3 4 4 5 4 4 5 5 4 4 3 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 9 13 18 22 21 5 -5 1 4 -0 -0 -2 -2 -0 2 4 5 6 6 7 7 7 6 6 6 7 8 8 8 7 6 4 2 3 5 7 6 3 5 7 5 9 7 5 9 7 7 10 8 2 2 3 6 8 5 2 3 7 9 10 11 9 8 8 7 8 12 15 15 8 3 2 1 4 5 6 6 1 4 4 3 7 10 8 3 2 4 3 8 20 19 13 4 -2 -2 1 9 16 12 11 16 16 10 5 3 3 3 3 4 4 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 5 5 4 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 3 4 5 5 5 5 5 5 5 5 5 4 5 5 4 4 4 3 4 4 5 6 7 7 7 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 8 9 9 8 8 9 11 13 12 11 12 11 10 8 9 10 9 10 11 11 11 9 7 7 5 4 3 4 5 5 4 3 4 5 5 4 2 3 3 4 5 5 5 5 6 6 6 6 6 6 7 7 7 6 5 4 4 3 2 3 4 5 7 10 8 5 3 4 4 4 5 5 6 7 8 8 6 5 5 5 5 5 5 5 6 8 9 11 11 10 8 8 7 7 7 7 6 7 9 9 8 7 7 7 8 7 7 6 5 4 4 3 2 1 1 3 4 4 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 7 6 6 6 6 5 5 4 4 3 4 3 3 3 4 4 3 1 1 1 2 2 2 3 5 4 4 3 2 2 2 2 1 1 2 3 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 5 4 4 3 4 5 6 6 6 5 4 4 5 6 6 6 5 4 2 2 1 1 1 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 4 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 4 5 6 6 6 6 7 7 7 7 8 11 16 21 23 15 -1 -3 4 0 -4 -5 -6 -5 -1 2 5 6 8 8 8 8 8 8 7 7 7 7 8 8 6 5 3 3 4 5 7 9 5 3 6 8 12 5 8 6 4 9 13 8 3 2 1 5 10 8 6 6 7 7 9 12 9 6 6 5 6 10 14 12 7 6 4 3 3 4 5 6 0 0 2 5 7 7 9 6 5 7 6 10 19 18 11 3 -3 -6 -1 10 20 16 14 18 14 9 6 3 3 4 3 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 5 5 5 5 4 5 5 5 4 4 4 5 5 6 5 4 3 4 4 5 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 6 6 6 7 7 6 6 6 8 9 9 9 8 6 5 5 4 4 5 5 6 7 7 8 8 7 5 4 4 4 4 4 3 2 3 3 2 2 2 3 3 4 5 4 4 5 6 6 6 6 6 6 7 7 6 6 5 4 3 3 2 3 3 6 8 9 6 3 3 3 4 4 4 4 5 6 7 6 4 4 4 5 5 4 4 4 6 9 11 13 13 11 9 7 7 7 7 7 8 10 11 9 7 6 5 6 7 6 5 4 4 4 4 3 3 2 3 3 3 3 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 7 6 5 5 5 5 5 5 5 6 6 5 4 4 4 4 3 2 3 2 2 2 2 3 3 4 5 4 4 4 3 2 1 1 2 3 3 4 5 5 5 4 5 5 5 5 4 4 6 6 6 5 4 3 3 3 4 5 5 4 4 4 5 6 7 7 7 6 6 5 4 3 3 2 2 2 3 2 2 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 7 7 7 6 7 7 7 7 9 14 21 25 24 15 -1 -3 1 -3 -6 -9 -9 -5 -1 3 6 8 9 9 9 9 9 10 10 8 6 6 8 7 6 4 3 4 5 5 4 6 8 8 7 6 4 3 6 3 3 8 11 8 4 4 4 7 7 8 9 9 9 10 10 10 8 6 4 3 4 7 9 6 3 6 6 3 1 2 4 7 7 3 5 8 4 3 7 8 10 12 14 14 18 20 13 3 -4 -8 -1 12 22 17 14 20 16 9 5 4 3 3 4 4 4 5 5 4 4 4 4 4 4 4 3 4 4 4 4 3 3 3 4 5 4 4 4 4 4 4 5 4 4 5 5 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 6 7 6 4 4 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 5 4 3 3 3 4 4 4 4 5 6 6 8 8 8 7 5 4 4 4 3 3 3 3 2 2 2 2 2 3 3 4 3 4 5 6 6 6 6 6 6 7 7 7 6 5 5 5 3 2 2 2 3 6 8 7 3 3 3 3 3 4 4 4 5 5 4 4 3 4 4 5 5 4 4 5 8 11 15 16 15 12 9 7 8 8 9 10 11 12 10 8 8 6 5 6 6 5 5 3 3 4 4 4 4 4 5 3 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 5 4 4 4 5 6 6 6 6 5 4 5 5 4 4 3 4 3 2 2 3 3 3 4 4 4 4 4 3 1 1 2 2 2 4 5 6 5 4 4 5 5 4 3 4 5 6 6 5 4 3 2 2 3 3 3 3 3 4 5 6 7 8 8 8 7 7 6 5 5 4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 5 5 5 4 4 4 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 5 4 4 5 5 5 5 6 7 8 7 6 7 8 8 9 13 19 24 25 24 16 3 -4 -4 -6 -7 -9 -8 -3 2 5 7 9 9 9 9 10 10 12 12 10 7 6 7 7 6 4 4 6 7 6 5 2 4 10 8 3 2 6 3 3 5 6 7 8 5 6 8 11 6 5 9 9 11 15 15 10 8 7 4 3 3 3 4 2 -0 2 2 0 -0 -1 3 12 14 8 7 6 -1 1 2 4 14 20 18 14 22 28 18 4 -5 -9 1 16 21 14 13 22 17 8 5 5 4 3 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 5 5 5 4 4 4 4 4 4 5 5 5 5 6 5 5 5 4 4 4 4 4 5 4 4 4 4 4 3 4 4 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 3 4 5 6 7 7 5 3 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 4 4 4 4 4 4 4 6 6 8 8 8 7 6 5 4 4 4 4 4 4 4 2 2 2 2 3 3 2 2 4 6 6 6 6 7 6 6 7 7 6 5 5 5 5 3 2 1 2 4 6 6 5 4 3 2 3 3 4 4 4 4 4 4 3 4 4 5 5 4 4 4 6 11 16 19 19 16 11 9 9 9 10 11 11 11 10 9 8 8 7 6 7 6 5 4 3 3 4 4 4 5 5 4 3 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 7 8 7 6 5 5 4 4 4 5 5 5 5 5 5 6 6 5 4 5 4 2 2 3 3 3 2 3 3 4 4 3 2 2 1 1 2 3 5 5 5 4 3 4 4 4 3 3 4 6 6 5 4 3 2 1 1 2 3 3 3 4 5 6 6 6 7 8 7 7 7 7 6 6 5 4 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 4 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 5 4 4 4 4 5 4 4 5 4 4 5 5 5 6 6 7 8 7 7 8 8 9 14 20 24 20 16 18 13 6 -2 -7 -9 -8 -7 -3 2 6 7 8 8 9 9 9 9 10 12 13 11 7 6 7 8 7 6 5 6 7 9 9 8 5 3 3 3 6 7 3 4 9 4 3 5 5 7 10 11 4 5 7 8 11 17 17 12 8 5 2 3 4 3 1 -0 0 -0 -1 -4 -4 -1 4 16 18 8 4 1 -4 2 3 4 11 13 13 15 30 36 21 5 -5 -7 4 15 16 12 14 23 18 7 5 5 4 3 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 5 4 4 4 4 4 4 4 5 5 5 5 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 6 6 7 7 6 5 5 4 4 4 4 4 5 5 4 3 3 4 5 6 7 6 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 6 6 6 6 6 7 7 6 6 5 5 5 5 4 4 4 4 3 4 4 4 4 4 3 3 4 4 6 7 7 8 8 7 6 5 5 5 5 5 5 5 4 3 3 3 3 2 1 1 3 4 5 6 7 7 7 7 6 6 6 6 6 6 5 4 3 2 2 2 3 5 6 5 3 2 3 2 3 3 3 4 5 4 4 3 3 4 5 5 4 4 5 10 16 20 22 18 12 9 9 10 10 10 11 10 10 9 8 9 8 7 7 7 7 6 5 5 5 5 5 5 4 5 4 4 3 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 5 6 7 7 6 6 5 4 4 4 4 4 5 5 6 6 6 5 5 6 5 4 3 3 3 2 2 3 3 4 4 3 3 3 3 2 1 2 3 4 3 3 3 3 3 3 3 3 3 5 6 6 5 3 2 1 0 1 1 1 3 4 4 4 3 4 5 6 6 6 7 7 7 7 7 6 5 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 7 7 9 10 15 22 26 21 11 5 11 9 5 -3 -9 -9 -7 -3 2 6 8 8 8 8 9 9 9 9 10 12 15 12 7 6 7 8 7 6 5 5 6 9 10 10 11 9 7 7 6 3 0 5 11 8 4 4 4 10 12 7 7 8 8 7 11 15 16 13 7 2 2 4 5 4 4 4 4 0 0 -1 -2 1 6 17 17 5 2 -1 -5 1 2 3 5 8 11 20 34 36 21 6 -2 -3 6 13 13 10 13 23 19 6 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 4 4 4 4 4 3 3 3 3 4 5 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 5 6 6 7 7 6 5 4 4 4 4 3 4 4 4 4 4 4 4 4 5 6 6 4 4 4 4 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 5 6 6 6 6 6 6 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 5 6 7 8 8 7 7 6 6 6 6 7 6 6 5 4 3 2 2 4 5 0 1 5 6 7 7 7 7 7 6 6 6 6 6 5 5 4 3 2 1 1 3 5 6 5 3 2 2 2 3 3 4 5 5 4 3 3 3 4 4 5 5 5 9 15 21 23 19 13 10 9 9 9 9 10 10 9 8 8 8 7 7 7 8 8 9 8 8 8 8 7 5 5 5 5 5 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 4 5 5 5 5 5 6 5 5 4 3 4 5 6 5 5 5 6 6 6 4 4 4 3 3 3 4 5 5 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 4 4 3 4 5 6 5 3 2 1 0 -0 -0 1 2 3 3 2 1 2 2 4 5 5 6 7 7 7 7 7 7 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 5 5 5 4 4 5 5 5 6 5 5 5 5 4 5 5 4 4 4 5 6 6 7 7 6 7 8 10 14 21 26 21 13 6 0 5 7 -6 -10 -6 -3 -1 3 7 9 8 8 8 8 8 9 8 9 11 13 16 13 8 5 3 4 5 4 5 5 6 9 8 5 6 9 11 8 5 -0 -0 7 13 13 11 7 6 9 12 5 6 11 10 8 10 12 13 10 5 2 6 8 5 4 8 12 10 2 2 5 4 2 5 13 10 2 -0 -2 -5 -0 -1 -2 4 11 10 21 36 33 18 5 -1 1 8 11 10 9 11 20 19 7 4 5 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 5 4 4 4 3 4 4 4 4 4 4 3 4 4 4 5 5 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 5 6 6 6 6 6 7 6 6 5 4 3 4 4 4 4 4 3 4 4 4 3 3 2 2 3 4 5 6 7 7 7 7 7 6 6 6 7 8 7 6 5 4 3 2 3 7 7 1 1 4 6 6 7 7 7 7 7 7 7 7 7 6 6 5 4 3 2 2 2 4 7 6 3 3 2 2 2 3 4 4 4 4 5 4 3 3 4 5 5 6 8 13 19 21 18 13 11 9 8 9 8 8 8 8 8 7 6 5 5 6 7 9 10 10 10 11 11 10 8 6 5 6 6 6 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 2 2 3 3 3 3 4 5 6 6 5 5 4 5 5 5 5 5 6 6 6 6 6 5 4 5 4 5 5 5 5 5 5 5 4 4 3 3 3 2 3 3 3 3 3 4 4 5 4 4 5 5 6 5 3 2 1 -0 -1 -0 1 2 2 1 1 1 1 2 3 4 5 6 6 7 7 6 7 6 7 7 6 6 5 5 5 6 6 6 6 6 6 5 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 5 6 6 7 8 7 6 8 11 14 17 22 21 13 8 7 2 -1 -3 -14 -9 1 3 5 7 8 8 8 7 7 8 9 9 9 10 12 15 16 13 6 1 0 1 2 3 5 6 6 8 11 9 3 -1 -1 2 3 3 4 9 14 17 15 10 8 8 9 6 5 9 10 7 7 9 8 4 1 5 12 11 5 4 8 13 11 2 1 9 9 1 2 8 9 5 0 -6 -9 2 4 0 3 5 5 20 35 30 17 6 1 3 8 10 9 9 13 19 15 7 4 5 5 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 3 3 4 4 5 4 4 3 4 5 6 5 5 3 3 3 3 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 6 6 6 7 8 8 7 5 4 2 2 5 8 6 2 2 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 6 3 3 3 3 3 6 6 4 4 3 2 1 2 3 4 4 5 5 5 3 3 4 5 5 6 7 11 15 17 16 13 10 9 9 9 8 7 6 6 6 5 5 5 5 5 6 7 8 8 9 10 13 13 12 9 6 5 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 3 3 3 3 4 5 5 5 5 5 5 4 4 5 5 7 7 7 7 7 6 6 6 5 6 5 5 5 6 6 6 6 5 5 4 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 5 5 4 3 1 -0 -1 -0 0 1 1 0 0 0 1 2 3 3 4 5 5 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 4 4 4 5 6 6 7 9 9 7 8 11 14 16 15 15 11 6 6 8 3 -6 -9 -6 1 6 7 7 8 8 7 7 6 7 8 10 10 10 12 13 15 15 10 4 1 3 3 1 4 6 7 5 6 10 11 4 -1 -2 0 2 5 8 10 14 16 13 10 9 8 8 8 9 11 7 4 4 7 5 -4 -7 8 22 16 7 3 3 6 6 1 1 9 9 4 2 6 13 14 10 -2 -8 2 11 7 6 4 12 26 32 26 15 6 2 3 7 9 9 10 13 19 14 6 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 3 4 4 4 4 5 5 5 5 5 5 6 5 5 4 4 4 5 5 4 4 4 5 4 4 4 4 5 5 5 5 4 4 4 4 3 4 3 3 4 4 5 5 5 5 5 5 4 5 4 5 4 3 4 4 5 6 5 5 4 3 3 3 3 4 4 4 3 4 5 5 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 8 7 5 3 2 3 6 9 6 3 3 5 5 5 5 6 6 7 7 7 7 8 8 8 8 10 8 3 4 5 4 4 4 5 5 5 4 3 3 2 3 3 4 4 5 5 4 3 3 3 4 5 6 9 12 14 14 12 10 10 10 10 8 6 5 5 5 4 5 5 5 6 5 6 6 6 6 8 10 14 15 13 10 7 6 6 5 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 3 4 4 3 3 3 4 4 5 5 5 5 4 3 4 5 7 7 7 7 7 7 7 6 6 5 5 4 4 5 6 6 7 7 6 5 4 4 4 4 3 3 3 4 4 5 6 6 6 5 5 5 5 5 5 3 2 1 0 1 2 2 1 0 0 1 1 2 2 3 3 4 4 5 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 4 4 4 5 6 7 7 11 12 8 11 13 14 15 12 9 4 -0 3 6 3 -2 -1 5 7 8 7 7 7 6 6 6 6 7 9 11 12 12 13 14 16 15 9 4 4 7 5 3 5 6 5 3 3 5 3 3 4 3 0 1 8 9 9 12 12 9 7 7 7 6 9 13 13 7 3 4 7 7 -5 -11 6 23 19 8 1 -2 0 4 3 3 6 8 7 5 7 13 15 15 7 -1 -0 12 14 14 14 19 26 25 18 11 4 -1 1 5 8 9 10 14 19 14 5 5 4 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 5 6 6 6 5 5 4 4 5 5 5 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 3 3 3 4 5 5 6 6 6 5 6 6 5 5 5 4 3 4 5 5 5 5 4 4 4 3 3 3 4 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 5 6 5 5 5 4 4 4 4 4 3 3 3 3 3 4 5 5 4 4 4 4 4 4 4 5 5 5 7 8 7 6 4 3 3 4 6 8 8 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 9 9 6 6 6 5 5 4 4 4 5 6 5 5 4 4 4 4 4 4 5 5 4 3 3 3 4 6 8 9 11 12 12 12 12 11 10 9 6 5 4 4 4 4 5 6 6 6 5 5 6 6 6 8 10 14 15 14 11 8 6 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 3 3 4 5 6 7 7 7 7 7 6 6 5 4 3 3 4 5 6 6 7 7 6 6 5 4 4 4 4 3 3 4 4 5 5 6 6 5 5 6 6 6 6 4 3 2 2 3 3 2 1 1 1 0 1 2 2 3 3 3 4 5 5 6 6 6 6 6 5 6 5 5 5 4 4 4 3 3 3 4 4 5 5 6 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 5 6 6 7 7 11 15 12 12 11 10 12 15 12 4 2 5 6 5 5 7 8 7 7 6 5 5 5 5 6 6 7 10 13 13 13 15 16 17 15 9 5 6 8 9 8 7 5 2 -2 -1 2 6 11 10 2 -2 3 9 6 7 8 7 4 3 4 6 8 9 12 12 10 4 2 6 10 4 -1 6 17 15 7 0 -2 0 3 3 3 5 7 7 8 10 7 6 10 11 7 -1 6 16 19 20 19 16 11 7 6 2 -2 1 6 8 9 11 15 18 12 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 5 4 4 4 3 3 3 4 4 4 3 3 4 5 5 5 5 5 5 6 6 6 6 6 5 4 3 4 5 5 5 4 3 3 3 4 4 4 4 4 4 4 3 4 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 5 4 4 5 5 5 5 4 4 3 3 3 3 4 4 4 4 3 2 2 3 4 4 5 5 5 6 6 7 7 7 5 4 4 5 7 8 8 8 6 5 5 4 3 4 4 4 5 6 6 6 6 7 8 8 8 8 8 7 7 6 5 4 4 4 5 6 6 6 5 5 4 4 5 5 5 5 4 3 2 3 5 7 9 10 12 13 14 14 12 11 9 8 6 5 4 4 4 4 5 5 5 5 5 7 7 7 8 8 10 12 14 14 13 9 5 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 5 5 4 5 5 5 5 5 5 5 6 5 5 4 3 3 3 4 5 6 7 7 7 6 6 6 5 3 2 2 3 4 4 6 7 7 7 7 5 5 4 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 3 2 1 0 1 1 2 2 2 2 3 3 4 4 4 5 5 5 5 5 4 4 3 3 3 3 2 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 5 6 6 7 8 13 17 14 10 7 7 11 16 16 11 12 9 4 5 7 7 6 5 5 4 4 4 4 5 6 7 8 12 15 15 16 17 18 16 12 8 7 7 7 8 8 7 5 -0 -4 -1 5 9 10 13 8 2 9 7 1 6 7 4 2 1 2 7 11 8 6 10 13 8 1 5 13 13 12 14 16 11 2 -2 1 4 4 1 1 6 8 8 13 12 2 -1 5 9 10 -3 -6 5 23 25 14 3 -4 -2 2 0 1 7 9 8 10 11 14 18 13 5 5 5 5 6 5 6 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 4 3 4 4 4 4 3 3 4 4 4 4 3 4 4 4 5 6 6 6 6 6 6 5 6 5 5 5 5 4 4 4 3 3 3 4 4 4 3 3 4 4 5 5 5 5 4 4 4 5 5 6 6 6 5 4 4 4 4 5 4 3 3 3 3 4 4 4 5 5 4 4 3 4 6 6 7 7 6 6 7 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 3 3 3 3 2 1 1 2 4 5 6 7 7 6 5 5 7 8 8 8 7 7 7 8 9 9 6 5 4 3 2 2 2 3 4 4 5 4 5 5 6 7 8 8 8 8 8 7 7 5 4 4 4 4 6 7 7 6 5 5 5 5 5 5 4 4 3 2 4 6 8 10 12 14 15 15 13 10 8 8 7 6 5 4 4 3 3 4 4 5 6 7 8 8 8 8 8 8 10 12 15 15 11 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 5 4 4 4 4 4 5 4 5 5 6 6 6 6 6 5 4 2 2 3 4 5 5 6 6 7 6 6 5 4 2 2 2 3 4 6 7 7 7 6 5 4 3 3 3 4 4 4 5 6 7 7 8 7 7 5 4 5 5 5 6 7 6 5 4 3 2 1 1 1 1 1 2 1 2 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 5 4 4 5 5 5 5 5 5 5 5 6 5 5 4 4 5 5 5 6 7 9 12 16 16 12 8 7 8 10 13 16 17 14 6 -0 3 5 4 3 4 3 3 3 4 5 6 7 8 9 14 15 16 19 19 15 12 10 9 9 7 4 3 3 5 6 5 2 2 8 4 2 6 7 7 17 7 0 6 5 2 4 5 2 6 10 6 2 8 13 12 6 8 14 17 14 15 16 8 -3 -4 3 5 2 -2 4 12 11 12 16 10 1 4 7 8 10 3 -6 4 28 24 8 -5 -10 -0 5 4 8 12 11 9 10 9 11 19 16 7 5 5 5 6 6 5 4 4 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 3 4 4 5 6 6 6 6 6 6 6 5 5 5 5 4 3 3 3 3 3 3 4 5 4 4 4 5 5 5 4 4 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 4 4 4 6 7 7 7 7 6 7 7 6 5 5 5 5 4 3 4 4 4 4 4 4 4 5 4 5 5 5 5 4 4 4 3 2 2 2 1 -0 -0 2 4 6 8 9 8 6 4 4 6 8 11 13 12 9 9 9 9 8 7 5 3 2 2 1 1 2 2 3 3 4 4 4 5 5 6 7 7 8 9 8 8 6 5 4 3 3 5 6 7 6 6 6 5 5 4 5 5 4 3 2 3 5 7 10 12 14 15 15 12 8 7 6 7 7 6 5 4 3 3 3 4 5 6 6 8 8 8 8 7 7 6 8 12 16 17 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 5 5 4 3 3 3 3 3 3 4 5 5 6 6 7 8 7 6 4 3 2 2 3 4 5 5 6 6 7 6 6 4 3 2 2 2 4 5 6 6 6 5 4 4 4 4 5 4 4 5 6 7 8 9 9 7 5 4 4 5 5 6 7 7 6 5 5 4 3 2 2 2 1 1 1 1 2 2 3 4 4 4 3 3 3 3 3 2 2 3 3 2 2 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 6 6 10 14 15 15 11 8 7 8 9 8 8 10 13 7 -1 -2 2 2 2 3 3 3 3 4 5 7 8 8 9 11 14 15 16 20 18 11 8 10 10 8 7 5 3 2 1 5 12 8 4 4 -1 -2 0 4 10 17 5 2 6 3 4 9 8 3 8 10 4 1 5 9 12 12 9 12 16 10 8 10 2 -5 -0 8 7 1 1 8 12 10 12 12 5 4 7 6 7 11 17 9 17 31 20 2 -11 -7 9 12 12 18 17 12 10 10 9 10 17 17 8 5 5 6 6 6 5 4 4 5 5 4 4 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 3 3 2 3 3 4 4 5 5 4 4 4 5 5 4 3 3 3 3 3 2 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 5 5 6 7 7 7 6 6 6 6 5 5 5 4 3 4 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 4 3 2 1 1 -0 -1 0 2 4 6 8 9 9 7 5 4 4 6 10 14 15 11 9 10 10 8 7 5 3 2 2 1 1 1 1 2 2 3 3 3 3 4 4 4 6 7 8 9 9 8 7 5 4 3 4 5 5 5 5 5 6 5 5 5 5 5 4 3 3 4 7 10 12 13 13 12 10 8 6 5 6 7 7 6 6 4 4 4 4 4 4 5 6 6 7 8 8 7 6 7 9 13 15 15 10 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 3 3 3 2 2 3 3 4 5 5 5 6 8 8 8 6 4 3 2 2 2 3 5 5 6 7 7 7 7 5 3 3 2 2 2 3 4 5 5 5 6 6 7 6 5 5 6 7 8 9 11 9 7 5 4 4 5 5 5 6 7 6 6 6 5 4 4 3 3 2 0 0 1 1 3 3 3 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 3 4 4 3 4 4 4 5 5 5 4 5 5 5 4 4 4 5 5 5 6 6 6 10 16 16 10 7 7 7 7 8 7 6 7 7 3 -3 -0 1 1 2 3 3 3 3 3 5 7 9 9 10 12 13 13 17 21 16 8 6 9 7 5 5 5 4 3 -2 -0 9 9 7 5 0 -1 -1 0 17 15 -0 3 4 3 9 16 10 4 6 6 4 5 6 6 10 12 9 9 13 10 6 4 -4 -0 9 12 10 3 5 5 2 4 9 6 2 6 10 6 2 10 24 17 24 29 17 -3 -15 -4 17 20 22 26 21 13 10 10 9 10 15 17 9 5 5 6 7 6 5 4 4 5 5 4 5 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 4 5 5 5 4 4 3 3 2 2 3 3 5 6 6 6 4 4 5 6 6 5 3 3 3 4 3 3 2 2 2 3 2 3 3 4 4 4 4 4 4 3 4 5 5 5 5 5 5 5 5 5 5 6 6 7 6 6 6 6 5 5 5 4 4 4 5 5 6 7 6 6 6 7 7 6 6 6 5 4 4 3 3 3 2 1 -1 -1 -0 1 3 5 6 7 8 8 7 6 4 4 5 7 12 14 11 9 10 10 7 6 5 4 3 3 2 2 2 1 1 2 2 2 3 2 2 3 3 4 5 6 8 9 9 8 7 5 4 3 3 3 4 4 4 5 5 5 5 5 5 5 4 3 3 4 8 11 12 11 9 7 6 6 5 5 6 6 7 7 6 6 5 4 4 3 4 5 5 6 6 7 7 7 7 8 10 12 14 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 3 3 2 2 2 2 3 3 3 3 3 3 4 5 6 7 8 8 7 6 4 3 3 3 3 3 4 4 6 7 8 9 8 7 4 3 2 2 2 3 3 4 6 7 8 8 6 5 5 6 7 8 10 11 8 6 4 4 4 5 5 5 6 6 6 5 5 6 5 5 5 5 3 1 0 0 1 2 3 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 4 4 4 4 5 5 4 4 5 5 4 4 4 5 5 5 6 7 6 6 14 16 9 7 8 9 8 7 7 6 7 6 2 -1 -1 -1 1 3 4 3 3 3 4 6 8 9 10 12 11 10 14 20 20 13 6 7 7 5 -0 -0 -1 3 4 0 -0 5 9 10 8 4 3 -3 -3 12 6 -1 6 6 5 13 20 11 4 2 0 5 11 8 5 4 5 8 12 10 6 8 4 -2 7 17 13 7 -0 -2 -4 -4 2 5 1 2 8 10 6 1 8 16 14 24 27 15 -2 -12 0 21 25 25 25 18 12 10 10 9 9 13 18 11 5 5 6 6 6 6 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 4 4 4 4 3 3 3 3 3 3 4 5 7 7 6 4 4 4 5 5 5 4 4 3 4 3 4 3 3 3 3 3 3 4 4 4 4 5 5 4 4 4 5 5 6 5 5 5 5 5 5 6 6 6 7 6 6 6 6 5 5 5 5 4 5 6 6 6 7 7 7 8 8 9 8 7 7 6 4 3 2 2 2 1 -0 -0 -0 1 4 5 6 6 7 8 7 6 5 5 5 5 5 8 13 10 7 8 8 7 6 5 5 5 4 4 4 4 4 3 1 1 1 2 2 2 3 3 3 4 4 6 8 10 9 8 6 5 4 3 3 4 4 4 3 4 5 6 6 6 5 3 3 3 3 4 6 9 10 8 7 6 6 6 6 6 6 7 8 8 8 8 6 5 4 4 4 5 5 5 6 8 7 7 8 9 10 11 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 3 2 2 2 2 2 3 3 3 3 3 3 3 4 5 6 7 8 7 7 6 4 4 4 3 3 3 4 5 6 8 10 10 9 7 5 3 3 3 3 3 4 5 7 8 7 6 5 5 6 7 8 9 9 7 5 3 4 4 4 5 5 6 5 5 4 4 4 5 6 6 6 5 2 1 0 1 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 4 10 16 13 9 9 9 9 8 7 5 6 6 2 -0 -1 -1 2 4 5 3 2 2 5 7 8 10 12 12 11 13 18 21 17 9 5 8 7 3 3 2 0 3 3 4 5 7 9 8 6 6 7 8 8 3 -5 -1 5 8 6 11 15 8 5 1 2 10 12 7 3 1 0 8 17 13 6 11 10 6 9 13 7 1 -2 -5 -4 1 4 -2 -5 2 9 7 1 2 7 5 9 23 26 15 0 -7 5 20 22 20 17 12 9 9 9 8 8 14 20 12 5 5 6 7 7 6 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 3 4 3 3 3 3 4 6 7 7 6 5 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 5 5 5 5 6 6 6 6 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 7 8 9 10 11 11 10 9 8 6 5 4 2 2 2 1 0 -0 -1 3 6 7 6 5 6 6 6 6 5 5 6 6 6 7 9 9 6 5 6 6 5 6 6 6 6 7 8 8 8 6 3 1 1 2 2 2 3 3 2 3 3 4 7 9 10 9 8 6 4 3 3 4 4 3 2 3 5 5 6 6 5 4 3 2 2 2 3 6 10 9 8 7 7 8 7 7 7 7 8 11 11 10 8 6 5 5 5 5 5 5 6 7 7 7 8 8 9 11 12 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 5 6 5 4 3 3 3 3 4 4 4 4 4 3 3 4 5 6 7 7 7 6 5 4 4 3 3 3 4 4 6 7 9 10 10 8 6 5 5 5 4 3 4 5 7 7 7 6 5 6 6 7 7 8 7 6 4 4 4 4 5 5 6 6 5 5 4 4 4 4 5 6 7 7 5 2 1 1 2 3 3 3 3 3 3 3 2 2 3 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 5 6 7 7 6 5 4 6 17 20 12 10 10 10 9 3 1 4 5 1 1 0 1 4 5 4 3 2 3 4 6 9 12 13 13 16 18 21 18 12 8 6 7 5 2 7 6 9 4 5 7 9 8 6 3 4 6 7 9 11 11 10 8 5 7 4 6 6 4 4 6 10 11 10 9 6 1 1 9 18 17 12 16 13 5 5 6 2 -2 -7 -9 3 17 12 -5 -6 4 5 -1 -1 4 6 1 7 24 28 15 2 -2 8 18 18 16 13 8 6 8 8 6 9 16 15 8 5 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 4 3 4 4 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 3 3 4 6 6 6 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 5 5 5 6 5 5 5 5 5 6 6 6 6 7 8 8 7 7 6 6 5 6 6 6 7 8 8 8 9 10 10 12 14 14 14 13 11 9 6 5 5 4 3 3 2 1 -0 -1 4 8 7 5 4 5 5 6 6 6 7 7 7 8 7 8 8 6 6 5 5 5 6 8 8 8 8 10 13 13 10 6 3 2 2 2 2 3 3 3 3 3 4 5 7 9 10 9 8 5 4 4 3 3 3 2 4 5 6 7 7 6 4 3 2 2 3 4 5 7 8 9 9 9 8 7 8 8 7 9 11 12 12 11 10 7 6 6 5 5 5 6 6 6 7 7 7 9 10 11 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 8 10 9 7 6 6 6 6 7 8 8 6 4 3 2 3 4 5 6 6 6 5 5 4 3 3 4 4 5 5 6 7 9 9 7 5 5 6 6 6 5 5 6 7 7 6 5 6 6 7 6 7 7 6 6 5 4 4 5 6 7 7 6 6 5 5 4 4 4 5 5 7 8 7 5 3 2 2 3 3 3 3 2 3 3 2 2 2 2 3 4 4 3 3 2 2 2 2 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 5 5 7 7 7 5 4 4 7 21 24 13 10 11 12 8 -1 -3 2 3 2 2 3 3 4 4 3 3 3 4 5 6 11 14 13 14 19 20 18 13 9 7 7 6 3 2 2 6 8 5 5 7 9 7 3 2 4 3 0 1 2 9 18 18 12 6 2 2 2 3 6 13 13 9 6 8 4 -0 1 8 14 15 13 13 5 -4 3 6 2 -2 -14 -16 8 29 18 -2 -3 2 -5 -8 1 7 4 2 12 27 29 15 2 2 11 17 17 13 10 7 7 8 7 5 9 13 9 6 8 9 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 4 4 4 4 4 3 4 5 5 6 6 6 5 5 5 4 5 5 5 6 6 6 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 8 9 11 11 11 11 12 13 15 17 17 16 14 12 8 7 6 5 4 4 4 3 3 0 -0 4 8 7 5 4 5 5 6 7 7 8 8 8 9 9 9 8 7 6 5 4 5 6 8 9 9 9 12 15 16 13 10 6 4 3 4 4 4 4 4 3 3 3 4 6 8 10 10 9 7 5 4 4 3 2 3 3 5 6 7 7 7 6 4 3 2 3 4 4 5 6 7 8 7 6 6 6 6 7 9 9 11 13 14 13 10 8 7 6 6 5 6 6 7 7 6 7 8 9 9 9 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 9 11 11 9 8 8 8 9 10 11 12 10 8 5 4 3 3 4 5 5 5 5 4 3 3 3 4 5 6 5 6 7 8 8 5 3 4 5 6 7 6 6 7 7 6 6 6 6 6 7 6 6 6 6 6 5 5 5 6 7 8 8 7 6 6 5 6 6 6 5 5 6 7 8 7 5 4 3 3 2 2 3 3 3 3 2 1 1 3 4 5 5 4 3 3 2 2 2 2 2 3 3 4 4 4 4 4 3 3 4 4 4 4 5 6 8 8 6 5 4 4 10 23 23 13 10 11 12 8 0 1 3 3 2 3 3 4 4 4 3 3 3 4 5 10 16 13 10 14 18 18 14 10 8 6 5 4 2 -3 -2 6 5 3 3 8 8 7 4 4 4 2 5 6 -1 -0 8 14 12 6 2 2 3 4 10 13 8 3 4 4 2 0 3 8 11 11 10 6 -3 -5 3 7 4 0 -6 -5 11 21 11 1 -2 -2 -6 -5 2 5 1 6 20 28 24 13 4 4 11 16 14 11 8 8 8 7 5 4 7 10 9 8 9 14 12 7 7 7 6 6 5 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4 5 4 3 3 4 5 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 10 11 12 13 13 14 14 14 15 17 18 17 16 13 10 7 6 6 5 5 5 5 4 4 2 1 4 9 9 5 5 6 6 7 8 7 7 7 7 7 8 9 8 7 6 5 5 5 6 7 9 9 9 12 15 16 13 10 8 7 6 6 7 7 5 4 4 4 3 3 4 6 8 10 10 9 8 6 5 4 3 3 3 4 6 6 7 7 6 5 4 3 3 3 4 4 4 6 7 6 4 3 3 4 6 6 7 9 12 14 14 13 10 8 8 7 6 5 6 7 6 6 6 7 8 8 8 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 5 7 8 7 6 6 7 8 8 10 12 12 11 9 7 4 3 3 3 4 4 3 3 2 2 2 4 5 6 6 6 7 8 8 6 4 3 4 5 6 6 6 7 7 6 6 6 5 5 6 6 6 6 5 5 5 6 6 6 8 8 8 7 7 6 6 7 7 7 6 6 6 7 7 7 7 6 5 4 3 3 3 4 4 3 2 1 2 4 6 6 5 4 3 3 3 2 2 2 2 3 3 3 4 4 4 4 3 3 4 4 4 5 5 7 8 7 5 4 4 5 12 24 22 13 10 10 10 8 6 8 5 2 2 3 3 4 4 4 3 3 3 5 9 17 18 11 10 14 16 17 14 9 7 5 2 1 -2 -3 5 7 3 5 8 8 8 6 3 5 2 7 21 13 0 3 7 6 8 6 4 4 5 7 9 6 1 1 6 5 4 4 5 8 10 9 6 2 -0 4 8 7 6 3 1 3 9 11 6 3 1 -3 -2 1 5 8 8 13 22 24 18 11 6 5 10 14 12 9 8 8 8 6 3 3 6 7 9 10 10 15 14 7 7 7 6 5 5 4 4 4 5 4 4 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 4 3 2 3 2 2 3 3 3 4 4 4 4 4 4 5 5 5 6 7 7 7 6 6 5 5 6 6 6 6 6 6 6 5 6 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 9 10 10 11 12 13 14 14 14 14 14 15 16 16 16 15 13 10 7 5 4 5 6 6 6 5 4 5 5 4 5 8 7 6 6 6 7 7 7 7 6 5 4 4 4 5 6 6 6 6 6 6 6 8 9 8 8 10 12 12 11 10 9 8 8 9 10 10 9 7 6 5 4 3 3 5 6 8 10 10 9 8 6 5 3 3 4 4 5 5 5 5 6 6 5 4 3 4 4 4 4 4 5 5 5 4 3 4 4 5 6 7 9 11 12 12 12 10 10 9 7 5 6 7 7 6 6 6 7 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 2 3 3 3 3 4 4 4 4 4 5 7 10 10 10 9 8 6 5 4 3 3 3 2 2 2 2 4 6 7 6 5 6 7 8 7 6 4 3 4 5 5 6 7 7 6 5 5 5 5 5 5 5 5 5 4 5 5 5 7 8 8 8 7 7 6 6 6 8 7 7 7 7 7 6 7 7 7 6 4 3 3 4 4 4 4 3 2 3 5 6 6 5 4 4 3 3 2 2 1 1 2 3 3 3 3 4 4 4 3 4 4 5 5 6 7 8 6 4 4 6 8 16 26 22 12 8 9 9 6 6 3 -1 0 2 2 3 3 4 4 3 3 4 7 14 20 15 9 10 11 16 20 16 10 8 5 2 0 -2 4 13 11 3 6 8 7 5 3 2 4 4 14 26 13 5 11 9 4 5 5 5 7 5 6 6 2 2 4 5 5 6 6 6 8 9 9 6 2 2 7 10 7 2 -1 1 5 7 10 7 7 7 0 1 6 9 11 12 14 16 16 13 10 7 7 10 13 12 9 8 9 8 4 1 5 6 5 8 11 12 16 15 9 7 7 6 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 3 3 3 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 8 9 10 12 13 13 13 14 14 13 13 14 14 14 15 14 13 12 10 7 3 1 1 3 6 6 6 5 5 5 6 7 6 6 5 5 5 5 6 7 7 7 5 5 4 3 3 3 4 5 5 6 7 7 9 8 7 7 7 8 9 9 9 9 9 9 8 9 12 14 14 12 10 7 5 4 4 4 4 6 7 9 9 9 8 6 5 5 4 5 5 5 4 4 3 5 5 5 4 4 3 3 4 3 4 4 5 6 4 4 4 5 5 6 7 8 9 10 11 11 11 10 7 6 6 7 7 6 6 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 2 3 3 2 2 2 2 3 5 7 8 8 9 8 8 7 6 5 5 5 4 4 4 5 7 8 6 5 5 5 6 8 7 6 5 4 4 5 6 7 7 6 5 4 4 4 4 4 5 5 5 4 5 5 5 6 6 7 7 7 7 6 6 7 7 7 8 8 7 7 7 7 7 6 6 5 4 4 4 5 4 4 4 3 4 5 5 5 4 4 3 3 3 2 2 2 1 1 1 2 2 3 4 4 4 4 4 4 5 5 6 7 7 5 4 6 9 14 24 30 21 9 6 9 9 3 0 -5 -5 0 3 3 3 3 4 4 3 3 4 9 16 18 11 8 8 7 14 19 18 11 5 5 6 6 3 6 9 9 3 2 5 6 4 1 2 1 7 15 17 8 10 13 8 5 3 2 6 8 6 3 3 1 3 6 6 6 6 6 6 8 9 9 8 5 1 3 7 5 -0 -3 2 7 6 8 9 8 7 4 6 9 9 10 10 8 7 10 12 9 8 9 11 13 12 10 9 9 7 3 2 6 7 5 6 9 12 17 17 9 6 7 6 6 6 6 5 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 4 4 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 3 3 3 4 4 4 5 5 5 5 4 4 4 4 3 3 3 4 4 5 5 5 4 4 5 6 6 6 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 7 7 7 8 9 10 11 13 14 14 13 13 12 12 12 12 12 12 12 12 11 9 8 6 3 2 3 4 5 6 6 6 6 7 8 7 6 5 5 4 4 5 6 6 7 6 6 5 5 4 3 4 4 4 5 6 6 7 10 9 6 6 7 7 8 8 8 8 9 8 7 8 12 16 18 17 14 11 7 5 5 4 3 4 5 7 8 8 7 7 6 6 5 5 6 5 4 3 3 4 5 5 5 5 4 4 3 3 3 4 4 5 5 5 4 5 5 5 6 7 8 9 9 10 10 11 8 5 4 6 8 7 6 5 5 6 7 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 1 1 1 1 2 2 2 2 2 2 2 2 3 4 4 5 7 8 9 9 9 8 7 7 8 10 10 10 11 9 7 4 4 4 5 6 7 9 9 7 5 5 6 7 6 5 4 4 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 7 7 7 8 7 6 6 5 5 4 4 4 5 4 4 4 4 4 4 4 5 4 3 3 3 2 2 2 2 1 1 1 1 2 2 3 4 4 4 4 5 5 6 7 7 6 4 6 10 16 26 36 31 15 5 3 3 3 -3 -5 -4 -2 2 3 3 3 3 3 4 4 4 4 8 13 14 11 9 7 7 10 12 13 11 3 2 9 9 7 5 6 9 7 4 3 4 4 1 0 1 7 12 6 4 8 7 5 4 2 2 5 7 5 3 2 2 3 6 6 7 7 5 6 7 9 8 7 6 1 -0 4 4 2 4 10 9 3 5 10 7 4 6 10 9 8 8 7 3 3 13 16 10 9 10 12 13 13 10 9 9 6 4 5 7 6 5 5 6 12 19 18 9 5 6 7 7 6 6 5 5 5 4 5 5 5 5 4 4 4 4 4 5 4 4 5 5 4 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 3 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 5 5 6 5 6 6 6 6 6 7 6 6 7 9 10 11 13 14 14 13 12 11 11 11 11 11 10 10 9 9 8 9 8 8 7 6 6 5 6 6 6 7 8 8 10 11 6 1 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 5 5 5 7 8 5 6 7 7 7 8 7 7 7 6 6 7 9 12 16 17 16 14 11 8 6 4 3 3 4 5 6 6 7 7 6 6 5 5 5 6 5 4 4 4 5 6 6 5 4 4 4 4 3 3 4 5 5 5 4 4 4 5 5 6 7 8 8 9 9 10 9 6 5 5 6 7 6 4 4 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 6 7 9 10 10 9 8 10 15 17 15 14 12 8 5 4 3 3 4 6 12 16 14 9 6 6 7 6 5 4 3 3 4 4 4 4 4 4 4 5 5 6 5 5 6 5 6 6 6 5 5 4 5 5 5 6 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 3 3 3 2 2 2 2 2 2 2 1 1 2 2 3 3 4 4 5 5 6 7 8 7 5 5 10 18 27 38 38 23 8 1 -2 -4 -6 -10 -8 -3 2 3 2 2 2 3 3 4 4 4 5 7 9 11 12 11 9 9 9 5 5 9 5 2 9 9 8 7 10 12 15 14 8 3 2 -1 0 6 10 7 0 7 9 1 1 3 3 4 4 4 4 4 3 3 5 7 7 7 7 4 5 6 8 9 12 10 3 -3 -2 1 5 12 16 9 4 5 10 10 6 7 9 8 6 8 7 2 8 22 21 11 10 11 11 12 13 11 10 9 6 5 6 6 5 5 5 8 16 20 14 6 4 6 7 7 7 6 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 5 4 4 3 4 4 4 4 4 4 4 4 4 4 5 6 6 6 6 7 6 7 7 7 7 6 6 6 7 6 6 6 6 5 6 6 6 5 6 6 6 6 6 7 6 7 7 9 11 12 13 13 12 11 10 9 9 10 10 10 8 8 7 7 7 8 10 10 9 7 7 7 6 6 7 8 9 10 11 11 6 1 3 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 5 4 5 7 9 8 6 5 6 6 5 6 6 6 8 12 15 15 14 12 9 7 6 6 5 2 2 3 4 5 6 5 6 5 5 5 5 6 6 5 5 5 5 6 6 5 4 4 4 4 3 3 4 5 5 4 4 3 4 5 5 5 6 8 9 10 9 9 8 6 5 6 6 5 4 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 4 4 4 3 2 1 2 2 2 2 2 2 2 3 3 3 3 5 6 8 9 9 8 7 10 16 19 16 13 11 9 6 5 4 4 3 5 14 22 20 13 8 7 7 6 5 4 3 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 1 2 1 1 2 2 2 2 3 3 2 2 3 3 3 4 5 5 6 6 7 7 6 5 9 19 28 31 32 26 16 6 2 -2 -3 -7 -11 -8 -2 2 2 2 2 2 2 3 4 5 6 6 6 7 11 16 15 11 11 12 8 5 10 9 5 6 9 9 8 11 12 13 9 9 6 1 -3 2 11 9 2 7 15 12 3 1 3 3 3 4 3 3 7 8 7 6 7 8 8 6 3 4 11 11 5 15 18 8 -1 -3 0 7 9 4 5 11 8 6 10 10 8 5 6 8 12 9 9 17 26 22 13 10 11 11 12 13 12 11 8 6 6 6 5 4 5 6 12 20 19 10 4 4 5 6 7 7 6 6 5 5 5 5 5 5 5 4 5 5 5 4 4 4 4 4 5 5 5 6 6 5 5 5 5 5 4 5 5 4 4 4 4 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 4 4 4 4 3 4 4 5 6 6 6 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 6 7 8 9 10 12 13 12 11 9 8 8 8 8 9 9 8 7 6 5 5 6 8 9 8 7 7 7 6 6 7 8 9 10 10 9 3 1 3 5 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 4 4 5 6 6 1 1 6 7 8 7 5 5 5 5 5 6 6 7 10 12 13 14 14 12 9 8 8 6 4 2 3 3 3 4 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 5 4 4 4 3 2 3 4 5 4 3 4 4 5 5 6 6 8 9 10 9 9 9 7 5 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 6 6 6 6 4 3 2 3 3 2 1 2 1 2 3 4 5 6 7 8 10 9 8 7 8 12 14 12 10 8 7 5 4 4 4 4 6 14 21 17 9 7 7 8 7 6 5 4 4 4 3 3 3 2 3 3 4 4 4 4 5 5 4 4 4 4 4 4 3 2 3 3 3 4 4 4 4 4 4 5 4 4 3 3 3 3 3 3 2 1 0 1 1 2 2 1 1 1 2 2 2 3 3 4 4 3 3 3 4 5 6 7 7 8 7 6 8 15 23 29 27 18 10 7 9 11 7 1 -8 -11 -6 -1 1 1 2 2 2 3 4 5 6 8 7 6 8 14 20 16 10 11 13 12 9 9 8 5 4 8 9 7 5 7 6 6 13 9 1 -3 3 9 5 4 16 17 8 8 5 3 1 3 5 2 4 10 14 13 9 6 7 7 6 3 2 13 13 4 10 15 12 7 4 5 9 9 2 3 11 7 3 7 12 11 5 2 12 15 13 16 23 25 19 13 10 10 11 12 12 11 10 8 7 6 5 4 4 4 7 16 23 17 7 4 4 5 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 5 4 4 5 5 5 5 4 4 5 4 4 4 4 3 3 3 4 4 5 6 6 6 6 7 7 7 7 7 8 7 7 6 6 6 6 6 5 5 5 5 6 7 6 7 7 7 7 7 7 7 8 9 11 12 12 11 10 9 8 8 7 7 7 7 7 7 6 5 4 3 3 5 7 6 5 6 6 5 6 7 7 9 9 7 1 -4 1 5 5 5 5 5 5 6 7 5 3 3 3 3 3 4 5 5 5 5 6 9 4 -1 4 5 7 7 6 4 4 4 5 6 6 6 7 10 12 13 14 13 11 10 9 8 6 5 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 4 4 4 4 4 4 5 6 7 8 9 10 9 8 8 7 5 3 3 3 3 3 3 4 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 7 5 5 4 4 2 1 1 2 2 4 5 5 7 9 10 9 9 8 8 8 9 10 9 7 5 4 3 4 4 4 6 13 16 11 4 3 6 9 8 7 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 4 4 3 1 1 1 2 3 4 3 2 2 2 2 1 2 3 4 5 4 4 4 4 5 6 7 8 9 9 9 9 12 14 18 26 27 16 4 5 15 18 11 -3 -15 -13 -4 0 1 1 1 2 2 4 5 7 9 9 9 9 13 19 21 15 10 11 12 13 10 6 3 2 2 6 9 8 6 7 2 5 10 6 -1 -1 5 8 4 7 11 8 4 9 6 1 1 5 5 -0 3 11 16 16 11 8 6 5 8 6 3 9 6 6 6 10 11 10 10 11 11 9 6 8 12 5 2 6 13 11 7 2 9 11 14 19 22 19 14 10 9 10 11 12 11 10 7 7 6 4 3 3 4 5 9 19 23 14 5 4 4 5 6 7 7 6 6 6 6 5 5 5 4 5 5 5 4 4 4 5 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 5 6 6 5 4 4 4 4 4 3 4 5 5 5 4 4 4 4 4 3 3 4 4 3 3 4 5 5 5 6 6 6 7 7 7 7 8 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 7 8 8 7 7 7 8 9 10 11 11 11 10 10 9 8 7 6 6 5 6 7 7 7 7 6 4 2 4 6 6 6 6 4 4 4 5 5 7 8 7 3 -2 -1 4 5 5 5 5 5 5 7 8 5 4 4 3 3 1 2 4 5 6 6 6 5 2 3 4 5 7 6 6 5 3 4 5 6 6 6 8 11 14 14 13 12 11 10 9 8 7 6 5 4 3 3 3 3 3 4 5 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 3 3 4 4 4 4 3 3 4 6 8 9 10 10 7 5 6 5 2 2 2 3 3 3 4 5 6 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 11 11 10 10 10 9 9 8 6 4 2 2 2 3 3 4 5 6 7 8 9 8 8 8 7 7 7 7 6 4 3 3 3 4 4 7 12 15 10 4 1 3 7 10 9 7 7 6 4 4 3 4 4 4 4 3 3 3 3 3 4 4 4 3 4 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 4 4 4 5 5 3 3 4 5 5 5 4 3 3 3 3 2 2 2 2 4 4 5 5 4 5 6 8 12 14 14 12 12 13 9 5 9 22 30 23 11 10 16 12 0 -12 -18 -10 -2 0 1 1 1 2 4 5 6 8 10 13 16 16 17 19 17 14 13 12 10 12 12 8 4 3 4 8 8 2 0 4 1 1 1 1 -2 -0 7 9 4 2 2 6 11 10 6 -1 -1 4 5 -0 1 8 14 18 18 14 9 5 9 7 6 6 -0 3 2 5 7 7 11 11 10 8 6 9 11 5 2 7 12 10 6 8 7 6 12 17 18 15 11 9 9 10 11 11 10 8 6 6 6 3 2 3 5 6 10 19 22 11 4 5 5 6 7 7 7 6 6 6 6 6 5 5 4 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 5 5 5 5 6 5 5 5 5 6 6 6 5 4 4 4 4 3 3 3 4 4 4 4 4 3 3 3 3 4 4 3 3 3 5 5 5 5 6 6 6 7 7 7 7 7 6 7 6 6 6 5 5 5 5 6 6 6 7 7 8 8 8 7 7 6 7 8 9 10 11 11 10 10 10 9 8 7 6 6 5 5 5 5 6 6 8 9 7 5 4 4 5 5 5 4 4 6 6 5 6 6 5 1 1 5 6 6 6 6 5 5 6 8 9 8 7 6 5 3 1 2 3 6 8 5 4 5 4 4 4 5 6 6 6 4 3 3 5 5 5 6 8 12 13 12 12 12 12 9 7 7 7 7 7 6 5 4 4 4 4 5 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 6 8 10 10 9 6 6 5 3 3 3 3 2 1 2 4 7 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 12 13 13 13 12 12 13 13 11 9 7 4 3 3 3 3 4 5 5 6 6 7 8 8 8 7 6 6 6 6 5 4 3 3 3 4 7 11 16 13 6 1 2 6 9 10 8 6 5 5 5 4 5 5 6 5 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 2 2 2 2 3 3 3 4 3 3 4 4 4 5 5 5 6 7 8 7 6 4 2 2 3 4 4 3 3 2 3 3 4 4 4 4 5 9 15 21 22 19 14 10 10 5 -1 5 16 23 21 17 11 4 -8 -14 -16 -12 -4 -0 1 1 1 3 4 5 6 8 9 13 18 19 16 14 13 14 16 16 12 8 10 12 12 9 6 6 8 4 -5 -5 -0 2 0 -0 3 1 1 9 6 2 -0 1 9 14 9 6 1 -3 2 4 1 1 7 15 23 27 21 12 8 9 8 6 2 1 3 1 1 4 8 11 7 6 8 8 9 7 4 1 7 11 8 7 9 7 10 16 16 15 12 9 9 9 10 10 10 9 7 6 6 6 3 2 3 6 6 9 18 22 12 4 5 6 7 7 7 7 6 6 7 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 5 5 7 7 6 5 5 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 4 3 3 3 4 4 5 5 6 6 6 6 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 8 8 8 7 6 6 6 7 8 9 10 10 10 10 10 9 8 7 7 6 6 6 5 4 3 2 1 3 7 8 5 4 4 4 4 3 2 4 8 9 6 5 5 5 3 3 7 7 7 7 6 5 5 6 7 8 9 9 8 8 6 4 3 3 4 6 5 5 6 6 5 4 5 5 6 6 6 4 3 3 4 5 5 5 6 9 11 13 14 13 11 9 7 6 8 8 8 8 8 8 6 6 8 10 11 9 6 5 4 4 4 4 4 4 4 5 5 5 5 5 4 3 3 3 3 3 3 3 3 4 6 8 9 10 9 8 7 6 4 4 3 1 0 -0 1 4 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 11 12 13 13 12 12 13 13 13 12 10 8 7 5 5 5 5 5 6 6 5 6 7 7 7 6 6 6 6 6 6 6 5 4 3 4 5 9 16 16 9 3 1 4 8 8 7 6 5 5 5 5 6 7 6 5 4 3 2 2 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 4 4 5 5 4 3 4 5 4 4 4 5 8 9 8 6 5 4 2 2 3 4 4 3 3 4 4 4 4 4 3 4 8 17 25 25 19 13 8 4 6 3 -3 1 10 13 10 9 -3 -18 -24 -18 -10 -4 -0 1 1 2 3 5 6 7 8 10 13 18 22 16 10 9 9 10 11 13 9 5 6 10 13 9 6 7 10 6 2 4 6 4 1 3 8 4 2 12 6 -0 0 2 5 6 8 8 4 -1 2 4 1 1 8 16 25 29 20 10 9 10 9 5 4 8 8 7 6 6 11 13 5 1 5 8 6 3 1 2 9 9 7 6 11 13 17 20 17 13 10 9 9 9 10 10 10 8 6 6 6 6 4 3 4 6 6 8 16 22 13 5 6 7 7 7 6 6 6 7 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 6 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 3 3 4 3 3 4 3 3 3 3 3 3 4 5 5 6 6 6 6 7 7 6 7 6 6 6 6 6 5 5 5 6 6 6 7 7 7 8 8 8 8 7 6 6 6 7 8 9 10 10 10 9 9 8 7 6 6 6 6 6 5 4 3 1 -2 -2 2 5 5 5 5 5 4 3 2 2 6 10 8 6 5 3 3 5 7 7 7 8 7 6 6 6 6 7 8 8 8 7 6 5 5 5 4 4 5 5 5 6 6 5 5 5 6 7 7 6 4 4 4 5 5 4 3 4 8 11 13 13 11 10 8 7 7 8 8 8 8 9 9 8 9 13 18 18 14 10 6 5 4 4 4 4 4 4 4 5 6 5 5 4 3 3 3 3 3 3 2 2 3 5 8 9 10 10 10 9 8 7 5 4 2 -0 -1 0 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 6 5 4 4 5 8 11 14 15 16 14 11 8 6 4 3 3 4 5 6 7 8 8 9 8 7 7 6 5 5 6 10 13 12 7 4 4 6 7 7 6 6 5 5 6 6 6 5 4 3 2 3 3 4 4 4 5 5 6 6 6 5 6 6 5 5 6 6 5 4 4 5 4 5 5 4 4 4 4 4 5 5 6 5 5 5 5 6 7 10 12 12 12 10 7 5 5 5 12 16 13 8 6 6 7 7 6 10 9 7 4 1 3 5 4 4 7 7 4 8 11 12 14 17 17 14 9 6 7 13 17 16 14 13 12 11 11 9 7 7 9 11 10 7 5 5 6 8 8 8 11 13 9 3 4 4 3 5 6 3 4 5 -1 0 5 3 2 5 7 7 8 11 11 8 5 6 8 8 8 7 6 10 12 5 -2 3 13 11 -3 -3 13 21 18 10 8 13 12 9 6 5 6 7 3 1 7 13 9 5 5 9 9 8 7 8 9 11 12 10 8 6 6 6 7 7 8 9 8 7 6 5 5 4 4 4 3 3 5 9 11 14 15 11 7 5 4 5 5 4 3 3 5 6 7 8 8 8 8 8 8 7 5 4 4 4 4 6 6 5 5 4 5 5 4 3 5 7 6 5 4 4 4 4 5 6 6 6 6 6 5 5 4 5 6 6 6 6 6 5 5 4 4 3 4 4 4 4 5 4 5 5 5 5 5 5 6 5 6 7 7 7 8 7 6 6 5 5 5 5 5 5 4 4 3 3 4 4 4 5 5 6 7 9 11 12 10 7 5 4 4 4 5 8 9 5 4 6 6 6 6 5 6 5 5 5 6 6 6 6 6 5 7 8 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 7 7 8 9 10 10 11 11 11 10 9 8 7 7 7 7 6 7 8 8 7 6 6 6 6 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 11 14 12 10 12 15 17 21 22 20 16 11 7 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 4 4 3 2 2 1 1 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 5 4 5 6 9 11 15 16 15 13 10 6 3 2 2 3 3 4 5 6 7 8 7 7 8 7 6 6 8 10 11 9 6 6 6 7 7 6 6 5 5 6 6 6 5 5 4 3 3 3 5 4 3 4 5 6 7 7 6 6 6 6 6 6 7 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 5 5 7 9 10 12 11 9 7 5 5 7 11 7 2 4 7 8 10 10 9 9 8 5 -0 0 6 7 7 7 6 6 8 12 17 20 20 19 13 7 2 4 10 15 15 11 10 11 10 9 9 8 8 10 11 12 10 8 5 3 3 6 8 5 6 13 11 8 8 5 4 5 6 9 15 14 4 5 8 4 4 4 5 5 7 12 14 10 6 6 10 9 8 4 3 8 10 6 1 0 7 9 0 -1 7 15 17 11 8 14 13 8 5 3 5 6 2 2 8 9 3 0 4 10 13 12 10 9 10 11 12 11 9 7 7 7 7 8 8 8 8 8 6 5 5 4 4 3 2 2 5 7 8 12 14 12 12 11 6 4 4 3 2 3 5 6 7 7 8 8 8 8 8 7 5 4 5 5 5 6 7 6 5 5 5 5 4 3 5 7 7 5 4 4 4 4 5 6 7 6 6 6 5 5 5 5 5 6 6 6 5 5 5 4 3 3 4 5 4 4 5 4 4 5 5 5 5 5 6 6 7 7 7 7 7 7 6 5 5 5 5 5 5 5 5 4 3 3 3 4 5 4 4 5 7 9 12 13 12 9 5 4 4 4 4 6 6 5 6 7 6 6 5 5 6 5 5 5 6 6 7 6 5 6 7 8 7 6 7 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 9 11 11 11 11 11 12 12 11 10 10 9 9 8 8 8 9 8 7 6 5 6 6 6 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 11 14 12 9 9 11 14 18 23 24 21 17 12 8 7 7 6 5 5 5 7 7 6 4 3 3 4 5 5 5 5 5 5 5 4 4 4 3 3 2 2 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 7 6 6 5 4 5 6 8 12 14 15 14 11 8 6 4 3 2 3 3 4 5 6 6 7 8 9 8 7 7 9 10 10 9 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 3 4 5 6 8 8 7 6 6 6 6 7 7 6 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 6 6 6 7 8 7 6 6 6 7 8 6 -1 -1 5 7 8 11 11 9 10 11 5 -2 3 12 16 13 9 8 9 12 19 24 23 19 12 4 -1 1 9 16 16 10 6 10 11 10 9 9 8 7 10 11 12 9 8 6 5 5 4 6 5 8 12 10 12 14 10 9 12 9 11 17 18 10 5 5 7 6 7 8 4 6 14 17 10 5 8 11 9 5 1 1 6 7 6 1 -3 2 8 7 8 8 12 16 10 6 10 9 6 4 5 6 7 6 7 8 6 0 -2 4 11 15 14 12 10 10 11 12 10 9 8 9 9 8 9 8 8 8 7 6 6 6 5 5 3 2 2 5 6 6 8 10 12 16 15 8 6 5 3 2 3 3 4 6 7 8 7 7 7 7 6 4 4 5 4 4 7 8 7 5 5 5 5 4 4 5 7 6 5 4 4 4 5 6 7 7 7 6 6 5 5 5 5 5 5 6 6 6 5 5 4 3 3 4 4 4 4 5 4 4 4 5 5 5 5 6 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 4 4 3 4 3 4 4 5 5 5 6 8 12 14 13 10 6 4 4 4 4 5 5 5 6 7 6 5 4 5 6 6 5 4 5 6 6 5 4 5 7 8 7 7 6 6 6 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 9 13 14 13 12 12 12 12 13 12 12 11 11 10 10 10 10 10 8 6 6 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 11 12 11 10 9 9 10 15 25 33 33 26 19 13 10 9 7 5 5 5 7 8 7 5 3 3 3 4 5 5 5 5 5 5 5 6 5 5 4 3 3 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan nan nan nan nan nan nan 14 19 16 13 7 7 9 14 14 9 4 8 13 16 19 17 13 9 10 12 18 20 19 18 14 8 2 1 4 10 14 15 13 8 9 13 15 16 15 13 11 11 13 14 15 17 17 17 16 16 17 17 13 12 14 15 17 18 18 17 14 12 11 10 11 12 14 14 13 12 12 12 13 14 17 19 17 12 4 1 5 7 8 9 10 12 13 13 12 11 10 8 8 9 11 13 13 13 12 12 12 12 11 11 11 12 11 11 11 12 12 12 13 13 12 13 13 14 14 12 10 9 9 9 9 10 11 11 12 12 12 12 12 12 14 15 14 12 11 11 12 15 18 17 11 6 6 12 18 20 17 14 13 13 12 12 13 12 12 13 14 13 14 14 14 14 13 13 13 13 14 14 12 12 13 14 13 12 12 11 13 14 16 17 16 15 14 14 14 15 17 19 20 19 20 19 18 17 16 15 15 16 16 14 12 11 11 13 20 21 16 14 14 14 13 14 14 14 14 14 13 14 15 17 17 17 15 15 14 15 16 17 18 17 16 16 17 17 17 15 12 10 11 14 14 14 15 15 17 20 20 20 18 15 14 13 13 13 13 14 14 14 14 14 15 15 15 15 14 14 14 13 12 12 11 11 11 11 10 11 12 12 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 12 13 12 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 11 12 11 10 11 11 11 11 11 12 12 12 11 10 9 9 9 9 11 13 14 14 15 14 14 13 12 12 12 12 12 12 13 12 14 16 16 14 13 14 15 15 14 13 12 11 11 12 13 14 14 14 14 14 14 15 16 16 17 18 15 12 13 13 14 16 16 12 9 9 9 9 10 11 9 6 7 14 23 31 27 19 17 16 15 14 14 13 11 12 13 13 13 13 13 14 14 15 15 14 13 13 14 15 15 15 15 14 14 14 14 14 14 14 14 14 15 17 18 18 15 13 11 13 14 15 15 14 13 13 14 14 13 14 15 15 15 15 15 14 13 12 13 13 13 12 12 12 12 12 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan 11 7 5 5 10 14 17 16 16 15 14 8 9 16 17 14 15 15 13 10 8 8 10 15 16 15 11 8 7 11 13 13 14 13 13 14 15 17 17 18 18 16 15 15 15 14 13 12 12 13 14 16 16 15 13 13 11 11 11 11 11 11 12 12 13 11 9 10 14 17 15 7 2 5 7 10 12 14 15 16 15 14 12 9 8 8 9 11 13 13 13 12 12 11 11 11 11 11 12 11 11 10 11 11 12 13 12 13 13 13 14 13 12 10 10 9 9 10 11 11 12 12 12 12 12 12 13 14 14 9 10 15 16 16 15 15 14 13 11 7 9 14 18 17 13 12 13 13 12 12 13 13 13 13 13 13 14 15 14 13 14 13 13 13 13 12 13 13 13 13 12 12 12 13 16 16 16 14 12 8 8 13 24 29 23 20 19 18 17 16 15 15 14 14 14 14 13 12 11 8 9 14 17 15 15 15 15 15 14 13 14 14 14 13 13 13 15 17 17 16 14 13 13 14 15 17 17 15 14 15 16 17 19 18 15 13 14 16 16 15 14 14 17 20 21 19 16 14 13 13 12 13 13 14 14 14 15 15 15 15 15 15 14 14 13 13 13 13 12 11 11 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 15 14 12 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 10 10 10 10 11 11 12 11 11 10 11 11 11 11 12 11 12 11 10 10 10 10 10 11 12 13 14 14 14 14 13 12 12 12 12 12 13 13 12 12 14 16 15 13 13 16 16 13 11 8 6 6 9 13 13 14 13 13 13 14 15 15 15 15 15 16 15 15 16 18 19 19 16 12 11 10 9 10 10 11 13 13 14 18 21 21 17 15 14 14 14 14 14 13 12 12 13 14 14 14 14 13 14 14 14 13 13 13 14 15 16 15 14 13 14 15 15 14 14 14 14 15 15 18 20 19 15 10 11 13 15 15 14 13 13 13 14 13 13 14 15 15 16 15 14 14 12 12 12 12 13 13 12 11 12 13 12 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 12 12 10 9 14 16 17 11 10 12 19 19 12 10 10 13 15 13 10 9 10 10 10 11 13 14 15 16 15 14 15 15 14 13 13 13 14 13 10 9 9 11 12 12 13 13 12 11 12 13 12 11 9 8 10 12 12 9 6 5 8 13 15 12 7 6 9 13 16 18 17 15 15 16 15 11 9 8 10 12 13 13 12 12 12 12 11 10 10 10 11 11 10 11 11 12 12 13 13 13 14 14 14 13 12 10 9 10 10 11 12 13 13 12 12 13 13 14 14 13 12 8 10 16 18 17 16 15 13 13 12 10 10 13 16 15 13 12 13 13 13 12 12 13 13 13 13 14 14 14 13 13 13 14 13 13 13 13 13 12 12 13 13 12 13 14 15 16 15 14 11 4 -0 4 19 33 34 32 25 18 15 15 16 14 13 14 14 15 14 13 13 12 11 11 13 13 14 16 15 15 15 15 15 15 14 13 13 12 13 15 16 15 14 12 11 12 13 16 16 15 14 14 14 14 18 22 18 16 16 17 16 14 12 6 4 7 12 16 16 16 15 14 14 14 14 14 14 14 14 15 15 16 16 15 15 14 13 13 13 12 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 12 13 13 14 14 14 14 13 11 9 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 10 10 11 11 11 12 11 11 11 11 11 12 12 12 11 12 10 10 10 10 11 11 12 13 13 13 14 14 13 12 12 12 12 12 12 13 13 12 13 14 14 15 15 15 15 12 8 6 5 7 9 13 14 14 14 13 12 13 15 15 15 14 13 13 14 15 17 20 19 16 13 11 12 12 11 11 11 12 13 13 14 14 13 14 14 14 14 14 14 14 14 14 13 12 13 14 14 14 14 14 14 14 14 13 13 13 14 15 16 16 15 14 13 13 14 14 14 15 15 14 14 16 19 20 17 13 11 12 14 14 13 13 13 13 13 13 13 14 14 15 15 15 15 15 14 13 13 12 12 12 12 12 13 12 13 13 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 14 7 8 16 16 13 8 9 11 12 10 10 10 12 11 10 10 11 12 11 12 13 13 12 11 10 10 10 12 13 14 12 10 9 9 10 10 9 8 9 10 10 11 12 11 9 8 9 12 11 8 5 5 8 11 13 13 9 8 10 12 14 14 14 14 15 17 16 13 9 9 10 12 13 12 12 12 12 12 11 10 9 10 10 11 11 11 11 12 12 13 13 14 14 14 14 13 11 10 9 10 11 13 14 13 13 13 13 13 14 14 14 14 13 12 12 15 17 16 14 13 13 13 13 13 12 11 12 12 12 12 13 14 13 13 12 13 13 13 12 13 14 14 13 13 13 13 14 13 13 14 14 14 13 13 12 13 14 15 15 15 15 14 13 9 3 0 4 15 27 35 37 29 19 15 15 15 14 13 14 14 15 14 15 15 13 12 12 12 13 15 15 15 16 17 17 17 16 15 15 15 14 14 15 15 15 14 12 12 12 15 17 17 17 15 12 10 13 18 17 16 15 14 14 15 14 9 4 5 9 12 14 16 16 16 15 15 15 15 15 15 14 14 15 15 14 14 15 14 13 13 12 12 12 11 12 11 11 12 11 11 11 11 11 12 12 12 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 12 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 12 12 12 12 12 11 11 11 11 10 11 12 11 12 13 13 13 13 12 13 13 12 12 12 12 12 12 12 13 15 16 16 16 15 13 10 9 10 12 14 15 15 14 13 13 13 14 15 15 15 14 13 12 12 13 15 17 17 16 13 11 11 12 12 12 12 12 13 14 14 13 13 13 14 14 14 13 13 14 14 14 13 12 13 13 14 15 15 15 15 14 14 14 13 13 14 16 16 16 16 16 15 13 13 13 14 14 14 14 14 15 16 17 21 18 12 11 12 13 13 13 14 13 13 12 13 13 13 14 15 16 15 14 15 14 14 13 12 12 11 11 12 nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 13 15 14 13 12 12 9 8 8 8 9 11 11 12 13 12 11 11 10 12 14 15 15 13 10 7 7 7 7 7 8 8 6 6 8 9 10 11 11 10 8 7 7 7 8 10 12 12 10 10 11 12 13 13 13 14 14 14 16 12 8 8 10 12 13 13 13 11 11 11 11 10 10 10 11 11 12 12 13 12 13 13 13 14 14 14 14 12 12 11 10 11 13 14 14 14 14 13 13 13 13 14 14 15 14 13 13 13 14 14 14 13 13 13 12 12 12 12 11 11 12 13 13 14 13 13 13 13 13 13 12 13 13 13 14 14 14 13 14 13 13 14 14 14 14 13 13 14 15 16 15 14 14 14 14 15 11 5 -0 -1 8 19 39 42 25 16 15 14 14 14 13 14 14 15 15 15 14 13 12 12 13 14 14 14 15 19 23 27 23 18 19 18 16 16 16 15 14 14 14 13 12 12 14 16 17 16 14 12 12 15 16 16 15 14 14 15 15 15 13 11 10 9 11 12 15 16 16 15 16 15 16 16 15 14 15 14 13 13 13 13 13 12 12 12 12 12 13 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 13 14 13 14 14 14 15 15 14 12 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 12 12 12 13 13 13 12 12 12 13 13 13 12 13 12 12 13 13 15 17 18 16 14 13 12 12 12 13 15 15 15 14 14 14 14 15 15 14 13 13 13 12 12 12 13 14 17 17 15 13 12 12 12 12 12 13 13 13 13 14 13 13 13 14 15 13 13 13 13 13 13 13 13 12 14 14 14 15 15 15 15 15 14 14 13 14 15 16 16 15 15 14 14 13 13 13 14 14 14 14 16 17 18 19 18 15 14 12 12 13 14 15 15 13 12 12 13 13 13 14 15 15 15 14 nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 8 10 12 12 11 11 13 13 13 13 14 15 16 14 14 15 14 12 9 8 7 8 11 10 7 6 7 10 12 15 14 12 9 9 9 8 9 10 12 12 11 11 12 13 12 12 12 13 13 13 14 11 7 8 10 12 13 14 13 12 11 11 11 11 11 11 12 13 13 13 13 13 13 13 14 14 14 14 14 12 10 10 11 12 13 14 15 15 14 14 14 13 12 12 13 13 13 12 12 13 13 14 14 13 13 13 12 11 12 13 12 12 12 13 13 14 15 14 14 14 13 13 13 12 12 13 15 15 14 13 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 14 14 15 13 8 0 -5 -0 28 45 34 24 17 14 13 13 13 14 14 15 16 15 15 15 14 14 14 14 13 11 8 9 20 32 30 23 23 21 18 17 16 15 13 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 12 11 10 11 10 12 15 15 15 15 15 16 15 15 15 15 15 14 13 14 13 13 13 12 12 12 12 12 13 13 13 13 13 13 12 12 12 13 13 14 14 15 16 16 16 16 16 16 16 15 14 12 10 9 9 10 10 10 9 9 10 10 10 9 10 10 9 9 9 9 9 10 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 13 13 14 13 13 13 13 13 13 13 16 17 16 12 10 10 12 13 13 13 15 14 14 15 14 15 15 15 14 14 13 13 12 12 12 12 13 16 18 18 16 13 11 12 12 12 12 13 13 13 13 13 13 12 13 14 14 14 13 13 13 12 13 13 13 14 14 14 15 15 15 15 15 15 14 14 15 16 15 15 15 14 14 14 14 13 13 13 14 14 14 14 14 15 17 19 19 16 14 13 12 13 14 15 15 14 13 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
nan nan nan nan nan nan nan nan 19 18 17 16 16 18 22 23 20 16 14 17 20 22 23 23 22 23 23 22 22 23 24 24 22 22 20 20 20 18 19 20 22 22 21 22 17 16 17 18 19 18 16 13 10 8 7 7 8 8 10 11 12 12 10 8 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 20 29 35 36 32 26 19 15 13 16 19 21 18 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 26 26 23 19 15 14 8 5 2 0 10 15 16 15 17 20 23 29 34 37 42 42 31 10 2 6 11 16 21 10 2 6 24 39 40 32 16 6 5 22 50 50 33 18 5 0 0 0 0 2 6 17 34 48 61 72 76 75 72 69 66 65 66 68 68 68 68 68 70 72 73 73 68 51 32 16 6 0 0 0 3 3 2 1 0 0 0 0 0 0 18 38 21 14 16 22 38 41 47 64 78 96 114 128 135 141 143 138 127 116 110 108 116 118 102 86 88 94 90 86 82 78 75 74 76 76 70 72 77 81 79 77 82 93 114 141 157 159 154 146 126 99 82 84 101 116 126 127 127 nan nan nan nan nan nan nan nan nan nan nan nan 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 19 15 13 12 11 13 16 16 12 9 8 13 18 20 20 18 16 14 13 12 12 12 12 14 15 16 15 15 13 12 13 15 17 18 18 16 13 11 10 9 10 9 6 6 6 6 5 5 5 5 6 7 8 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 17 23 27 28 27 25 22 21 22 25 26 26 23 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 18 24 26 26 24 19 17 15 12 8 5 10 16 19 19 18 18 17 20 28 38 41 36 25 7 1 4 12 15 14 7 6 17 34 48 52 44 28 14 13 29 50 47 30 15 3 0 0 0 0 0 0 6 18 28 43 57 63 64 62 60 58 57 55 56 56 55 54 54 56 52 46 50 58 62 55 44 30 12 3 2 2 1 0 0 0 0 0 0 0 6 16 51 28 16 16 28 48 55 48 49 53 69 89 117 137 144 143 137 127 121 119 121 129 133 132 132 128 114 104 100 95 87 79 73 69 67 63 63 66 69 69 72 82 103 135 160 163 154 144 135 122 107 99 102 111 119 123 124 127 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 18 20 20 16 13 10 8 8 10 12 11 10 12 14 15 16 16 16 14 11 7 6 6 5 5 8 13 15 15 14 13 12 11 12 13 13 12 10 7 4 2 2 4 4 2 2 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 5 6 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 17 18 18 18 18 19 21 25 29 32 33 30 26 20 12 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 1 8 20 25 28 27 21 15 13 15 15 13 13 17 21 21 18 16 16 28 38 43 39 29 19 9 2 1 3 3 12 24 29 33 40 52 58 52 39 28 26 35 45 43 29 12 1 0 1 1 0 0 0 0 0 3 14 28 39 44 47 48 45 49 49 47 40 28 18 25 18 1 11 14 22 35 48 56 54 44 30 18 14 9 4 4 2 1 1 6 17 34 44 56 51 50 48 46 49 53 52 40 29 51 79 107 134 144 144 138 130 124 119 115 121 133 143 152 152 138 123 117 112 100 89 81 76 72 68 65 66 71 75 85 100 122 146 160 156 144 132 124 120 117 116 115 113 114 119 122 124 123 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 18 20 19 15 11 8 7 8 8 8 9 13 15 14 14 13 14 15 14 9 6 6 4 3 5 12 16 17 17 16 15 13 12 11 10 8 6 3 1 0 0 1 1 0 0 0 0 1 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 4 2 2 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 11 10 10 10 10 12 17 23 30 35 35 31 23 13 6 2 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 16 24 26 21 15 12 14 16 14 14 18 22 21 18 16 24 39 47 46 36 26 19 11 3 0 0 2 14 31 36 35 38 47 55 54 45 36 32 38 44 40 26 10 1 0 1 3 0 0 0 0 0 0 0 4 11 15 17 16 14 16 18 25 15 5 1 4 2 0 0 0 1 6 13 27 52 58 55 48 40 33 29 27 28 22 14 21 40 56 56 53 49 50 50 38 24 21 28 45 74 90 104 123 142 150 145 140 134 128 123 115 114 128 142 150 152 146 137 133 128 113 99 92 90 87 83 78 80 87 98 114 134 147 147 140 139 137 132 128 126 126 127 124 116 114 117 120 118 114 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 9 13 15 16 14 12 10 7 7 7 5 6 10 14 14 13 12 13 15 16 14 12 11 9 6 4 8 14 17 19 18 17 16 14 11 9 7 5 2 1 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 2 1 1 2 3 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 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 5 10 15 22 27 25 19 11 6 3 1 0 0 0 5 7 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 18 23 20 15 12 12 13 12 12 15 18 18 17 26 42 49 46 39 30 24 21 12 2 0 0 1 10 26 34 32 34 40 46 49 46 40 36 41 46 40 24 9 1 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 0 0 1 0 1 8 1 1 0 0 0 0 0 0 0 6 29 46 55 61 62 61 63 68 69 59 41 32 43 60 50 29 28 25 39 56 47 16 17 72 127 132 131 136 134 135 141 141 138 133 130 124 120 131 140 141 141 143 147 153 150 134 117 107 104 104 101 94 94 104 121 138 152 152 138 132 137 137 140 143 142 138 134 129 122 117 120 121 115 108 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan nan 7 8 7 9 10 11 11 9 7 8 4 4 6 11 12 12 13 14 17 19 19 19 20 18 12 8 7 11 15 18 18 17 16 14 11 8 6 6 5 3 1 1 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 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 2 1 0 0 0 2 3 6 10 12 10 8 5 2 0 0 1 4 10 9 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 5 16 19 15 13 10 10 12 12 11 10 9 9 14 34 51 45 32 23 22 23 22 14 4 0 0 2 10 22 26 18 22 31 39 42 43 40 39 45 48 43 30 11 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 21 23 15 6 1 0 0 0 0 0 1 3 10 28 49 65 73 79 85 86 77 59 41 32 42 44 27 27 25 40 96 108 76 52 94 145 145 138 131 117 110 118 128 134 137 135 133 138 147 150 146 143 150 164 173 171 158 136 118 115 119 117 109 106 112 129 139 137 135 129 125 122 126 137 146 150 146 140 133 127 122 122 121 112 104 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 nan nan nan nan 12 10 7 6 6 7 9 10 10 10 10 9 6 5 10 12 12 14 17 21 23 24 25 25 21 18 15 13 13 14 16 17 16 16 14 12 9 8 7 6 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 2 3 4 4 3 1 0 1 3 12 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 19 15 11 10 10 13 18 18 12 5 5 18 42 48 32 21 19 21 23 23 18 7 0 0 1 7 17 19 7 4 14 28 38 41 42 41 47 50 44 34 18 3 0 0 0 0 0 0 0 0 0 0 0 1 5 4 1 1 2 2 1 3 18 21 26 22 10 4 1 0 0 0 0 0 0 5 24 51 62 69 74 79 80 74 56 19 18 51 60 61 58 67 128 143 148 123 137 153 147 140 130 119 107 103 110 120 130 135 139 150 161 163 157 155 162 176 183 180 168 145 123 119 126 124 115 111 114 121 126 123 128 141 141 126 117 126 136 142 144 142 137 131 128 126 117 106 98 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 17 12 8 5 5 6 7 8 9 10 10 12 12 13 13 14 14 17 22 24 24 20 20 20 19 17 17 17 16 16 16 16 16 16 15 14 12 9 8 6 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 5 9 14 11 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 1 8 16 15 11 10 12 17 26 33 26 13 14 32 47 35 17 16 19 23 25 25 22 12 0 0 0 2 9 16 15 6 2 11 24 39 46 48 50 51 44 37 26 10 4 0 0 0 0 0 0 0 0 0 0 1 5 6 5 7 10 9 8 8 10 14 24 30 22 12 5 2 0 0 0 0 0 0 6 23 26 32 30 36 52 51 41 6 3 50 78 86 80 111 136 149 153 145 143 142 143 142 138 131 120 112 111 116 125 133 140 154 166 167 162 162 170 180 182 177 164 141 119 116 124 123 112 109 111 114 119 119 129 149 157 150 137 128 126 129 133 134 131 127 123 117 107 96 91 89 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 12 15 11 6 4 4 5 6 7 8 8 9 11 12 14 15 16 19 22 22 18 14 13 13 12 12 13 14 14 15 15 14 14 13 14 14 13 10 8 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 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 6 8 9 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 12 11 11 14 20 30 40 40 33 32 43 42 25 18 20 22 24 26 27 26 18 4 0 0 0 2 9 17 12 2 1 8 28 45 54 58 54 46 41 34 18 11 6 1 0 0 0 0 0 0 0 0 0 1 2 8 16 18 17 17 15 10 11 13 17 20 15 14 7 2 0 0 0 0 0 0 2 1 8 4 3 16 22 11 11 15 45 69 77 79 91 116 135 138 137 138 140 142 143 143 140 132 125 122 126 132 137 141 153 164 165 159 160 170 179 179 173 161 138 119 112 115 114 108 106 106 107 109 112 118 132 144 151 149 136 122 117 118 118 116 115 111 103 92 84 80 78 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan nan 7 11 14 12 6 4 5 6 6 6 7 8 9 10 11 12 14 16 19 18 14 10 8 7 6 6 7 8 10 11 11 11 10 10 10 11 12 10 8 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 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 8 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 2 6 9 11 14 18 25 32 37 37 37 37 31 24 24 26 27 27 28 29 29 26 11 1 0 0 0 1 8 10 3 0 2 10 27 46 58 57 52 46 40 26 18 11 4 0 0 0 0 0 0 0 0 0 0 0 2 2 4 9 12 11 7 7 8 9 10 14 25 13 9 2 1 0 0 0 0 0 0 14 11 14 11 27 30 35 46 65 70 75 82 91 104 119 126 130 132 133 136 140 143 142 138 130 127 131 135 139 142 149 160 161 154 154 162 172 179 176 168 154 141 129 117 107 104 102 101 100 102 103 104 110 120 135 146 140 123 110 105 104 103 103 101 92 80 71 67 65 nan nan nan nan nan nan nan 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 5 8 12 18 17 10 7 6 7 6 5 7 9 10 9 10 11 13 16 16 14 12 9 7 6 5 6 6 8 8 9 9 9 8 8 8 9 10 8 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 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 4 6 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 11 13 15 19 23 27 27 24 23 21 21 24 25 25 26 26 28 29 29 19 4 0 0 0 0 1 2 2 0 0 1 5 19 38 50 52 49 44 34 22 14 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 4 8 13 23 14 13 8 8 6 3 0 0 0 6 24 32 31 31 41 48 57 72 94 104 97 92 94 99 108 117 122 124 126 131 136 140 138 136 132 131 133 132 137 151 160 163 163 156 151 154 160 167 174 178 180 176 164 140 119 108 102 97 96 103 107 106 105 108 117 133 139 130 113 101 99 99 98 92 83 68 57 52 52 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan nan 2 4 5 9 15 20 17 10 7 9 8 5 4 6 9 10 10 10 10 12 14 14 13 12 10 9 7 7 8 8 9 9 9 9 8 7 6 6 8 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 1 0 0 0 0 0 0 2 5 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 10 12 12 13 14 17 20 21 18 15 13 12 12 12 13 16 17 19 20 22 18 6 1 0 0 0 0 0 0 0 0 0 0 3 9 22 32 38 38 31 23 17 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 7 10 10 10 14 15 7 3 2 9 22 36 46 51 52 57 66 84 104 116 117 109 107 107 108 109 114 118 120 124 132 138 138 132 130 135 135 132 132 146 169 179 175 163 154 153 152 154 162 175 186 193 190 172 149 133 122 113 109 117 122 119 114 111 111 119 133 138 126 108 103 100 96 87 74 57 44 37 37 nan nan nan nan nan nan nan 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 5 7 10 14 16 14 10 11 12 8 4 3 5 8 10 11 10 9 10 11 11 11 10 9 8 7 8 8 10 11 11 10 9 7 5 4 5 7 8 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 1 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 2 3 4 5 3 2 2 0 1 4 10 14 14 13 14 14 16 18 18 17 12 5 2 0 0 2 3 5 7 8 10 9 3 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 12 16 15 15 13 11 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 3 6 8 17 26 31 31 23 15 9 10 21 43 61 63 64 68 77 88 96 102 107 114 119 119 108 110 121 119 120 128 136 140 130 125 132 133 132 130 141 168 187 185 172 161 154 150 148 149 158 171 181 184 180 173 168 159 149 144 139 137 129 121 116 112 117 129 139 139 131 119 106 94 84 72 57 42 32 28 26 nan nan nan nan nan nan 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 5 7 7 7 10 12 11 9 15 15 7 2 2 4 8 12 12 10 10 10 10 8 8 8 7 7 6 6 8 10 13 14 12 9 7 5 5 6 8 7 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 4 4 4 5 5 6 7 7 6 4 4 3 2 4 9 15 15 15 19 21 20 19 18 18 10 2 1 0 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 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 1 2 3 6 16 26 34 46 51 43 23 6 7 25 49 64 70 71 72 74 76 78 88 103 119 128 119 118 124 125 122 125 132 135 129 124 126 128 128 128 135 155 175 183 178 167 158 154 149 145 144 146 154 164 162 168 177 177 173 169 156 144 134 128 127 128 129 133 140 148 150 139 117 95 85 80 71 60 51 45 41 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 2 4 5 6 7 6 5 4 5 7 9 12 18 16 6 1 1 4 10 13 13 12 11 10 9 8 8 8 8 6 4 5 8 13 16 16 14 10 8 6 6 8 8 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 7 10 10 10 10 11 11 10 7 7 7 6 5 5 5 5 5 4 4 5 9 11 12 17 21 22 22 22 21 18 9 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 17 23 30 45 57 40 14 1 7 21 49 76 80 75 72 72 74 78 85 106 126 128 128 136 136 132 128 129 129 124 119 120 122 122 122 126 136 152 167 175 168 159 158 152 147 138 130 129 132 140 146 154 161 164 166 161 152 145 143 147 150 142 133 130 135 143 139 123 103 92 90 92 89 87 84 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 2 5 6 7 8 6 3 2 2 2 5 13 20 16 5 0 1 6 10 12 12 10 9 8 8 9 10 9 7 4 3 5 10 15 17 16 14 10 7 6 8 8 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 1 3 4 4 3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 5 7 8 10 11 13 15 17 21 24 22 16 10 7 7 7 7 7 7 5 5 5 5 5 4 5 5 6 9 12 16 18 21 22 21 16 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 15 16 22 38 35 19 2 0 1 25 69 84 82 78 82 83 85 82 95 117 131 141 149 150 145 138 133 128 123 118 116 116 117 117 118 118 124 140 158 161 154 150 146 143 136 128 127 125 124 126 129 134 143 154 160 161 162 163 165 156 136 120 115 118 126 125 125 118 110 111 110 107 109 112 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 0 2 5 5 6 10 12 7 2 0 0 1 6 15 19 13 6 3 4 5 7 8 8 6 5 4 6 8 8 6 4 2 2 5 10 14 15 14 10 6 5 7 8 7 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 5 4 4 3 2 2 3 2 1 1 1 0 0 2 3 4 5 5 5 6 8 10 12 14 15 16 16 14 14 16 23 28 23 14 8 7 8 8 9 8 7 6 5 5 5 5 4 4 4 4 4 5 7 8 11 11 13 12 9 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 2 2 1 2 6 12 13 14 16 17 11 1 0 0 6 40 70 83 86 94 98 96 91 95 110 130 147 159 161 156 149 139 129 123 122 120 115 117 119 117 111 107 118 134 140 140 139 137 136 133 129 130 130 126 122 118 118 126 142 157 168 173 172 170 150 123 110 108 112 96 108 127 128 123 115 108 105 110 113 106 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan nan 1 2 3 2 3 10 17 17 11 4 0 0 2 8 14 16 13 10 9 8 6 6 6 5 3 2 2 3 4 4 2 0 0 2 5 7 8 8 7 4 3 4 7 8 8 6 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 7 7 7 6 6 6 6 6 5 6 6 6 7 7 8 9 11 11 10 10 10 10 11 14 17 19 19 17 13 10 11 14 15 12 7 6 7 9 10 10 10 8 6 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 3 2 1 0 0 0 0 0 0 0 1 6 9 10 9 7 10 12 11 7 4 2 0 0 0 1 13 37 67 87 102 116 116 106 98 104 122 145 160 164 159 154 148 135 128 130 127 119 120 125 121 115 109 112 120 124 128 132 133 134 132 127 122 120 121 122 120 116 119 132 151 169 177 176 163 132 119 113 111 109 102 102 107 108 107 98 86 95 109 112 104 95 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 3 3 3 2 0 1 6 15 22 23 17 7 2 2 5 8 12 14 14 15 14 11 8 7 6 5 3 1 1 1 1 1 0 0 0 1 2 1 1 1 1 1 2 5 7 8 6 4 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 1 4 6 7 7 7 7 8 10 11 11 11 12 12 12 12 13 13 12 12 11 10 10 12 14 17 18 18 16 13 10 9 8 6 5 5 6 7 8 9 10 9 8 7 5 5 5 5 4 3 3 3 3 4 4 4 4 4 3 4 4 6 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 5 3 2 0 0 0 0 0 0 0 1 7 15 20 19 19 16 12 9 2 0 0 0 0 1 0 0 12 44 75 96 116 128 120 105 100 112 135 154 160 155 152 152 148 141 138 132 123 120 120 117 116 115 115 116 117 122 137 147 144 136 127 116 112 114 119 121 119 117 124 139 163 180 182 157 129 121 119 117 111 102 93 83 78 86 96 100 108 116 116 109 101 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 10 6 2 0 0 0 2 9 18 25 28 23 12 8 8 8 8 10 12 14 15 14 11 9 9 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 7 8 8 9 11 11 12 12 12 13 12 12 12 11 9 8 8 10 11 13 15 15 14 13 11 9 7 6 5 6 7 8 9 9 9 9 8 7 6 6 5 5 4 4 3 3 3 3 4 4 4 3 2 2 3 4 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 1 6 11 12 6 1 1 1 2 2 0 0 1 2 3 8 16 22 25 27 25 20 12 4 0 4 15 23 18 6 0 6 30 61 82 97 115 124 116 102 102 120 143 154 152 148 147 145 142 138 134 124 119 115 113 112 112 113 114 114 118 143 171 164 141 126 117 116 115 119 123 122 119 119 128 151 176 186 168 139 127 124 118 113 106 93 82 85 105 125 129 127 121 118 113 109 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 16 6 0 0 0 0 0 4 9 15 20 24 22 19 17 13 8 6 6 8 9 9 8 7 8 9 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 5 5 5 4 5 6 8 9 10 10 9 8 6 5 4 6 8 10 11 12 12 11 11 11 9 7 6 5 6 8 12 19 16 11 10 7 6 6 6 6 5 5 4 4 4 4 4 4 4 4 3 2 2 2 2 4 4 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 16 8 4 7 12 12 6 1 2 6 9 9 13 17 21 23 26 28 26 19 10 6 11 29 57 57 24 4 9 26 55 75 78 91 114 122 108 94 102 128 148 150 144 140 136 134 134 134 128 121 117 115 114 112 114 115 116 122 146 178 175 143 120 116 121 122 123 125 124 120 118 122 138 165 183 180 163 148 139 128 119 114 112 111 118 138 148 140 128 120 120 118 118 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan nan 12 4 0 0 0 0 0 1 2 3 4 10 20 25 26 22 14 7 3 2 2 2 2 2 3 5 8 9 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 0 1 1 2 2 4 4 3 2 1 0 1 3 7 9 10 9 10 10 10 9 8 5 5 6 7 8 14 24 20 13 9 7 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 2 2 3 3 4 4 5 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 19 20 18 19 27 33 26 12 3 5 10 12 12 15 16 13 12 15 18 19 18 14 12 13 26 64 84 50 18 15 27 57 80 78 84 106 120 113 96 93 112 136 145 140 137 135 134 134 135 135 129 122 119 121 123 124 124 122 126 149 180 175 145 123 119 126 127 125 127 128 124 121 121 131 151 170 180 182 174 165 156 143 132 131 138 142 146 141 130 122 119 123 126 127 nan nan 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 1 0 0 0 0 0 0 0 0 0 3 12 20 24 24 17 10 4 1 0 0 0 0 0 2 5 7 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 8 8 9 9 8 7 5 4 5 6 7 8 9 10 10 8 7 7 7 7 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 18 32 34 38 46 45 31 14 6 7 10 12 12 12 12 9 6 5 4 4 6 9 12 12 16 43 78 70 39 23 28 55 84 94 101 113 123 120 102 90 100 122 137 138 136 136 133 134 138 141 136 130 127 134 134 133 132 130 137 157 179 177 159 143 136 135 132 129 130 132 131 128 124 125 139 161 173 178 179 178 173 169 163 151 152 151 142 128 119 118 121 126 130 133 133 nan 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 1 4 10 14 16 14 11 6 2 0 0 0 0 0 0 1 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 8 9 9 7 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 21 34 38 42 43 35 22 9 2 4 6 7 8 10 10 9 6 4 2 0 0 3 11 10 10 18 55 70 56 36 31 50 80 103 118 128 133 128 107 89 92 111 129 136 139 141 137 132 140 142 140 137 137 140 135 133 132 136 147 166 179 182 180 174 166 156 145 136 132 133 134 132 125 121 129 154 171 175 174 170 163 161 163 161 157 158 152 136 121 120 121 120 120 119 121 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 4 2 1 1 1 1 0 0 0 0 0 0 0 1 2 4 6 8 8 7 4 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 7 8 10 10 8 7 6 5 5 4 4 4 4 4 4 5 6 5 5 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 6 7 7 6 6 6 6 6 10 14 15 15 11 8 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 6 11 24 39 44 40 29 16 7 2 0 0 1 2 5 8 10 10 8 5 2 0 0 0 6 8 9 11 22 46 56 49 43 52 74 99 119 132 140 136 116 94 89 100 115 127 137 145 148 142 140 138 137 138 138 136 131 128 129 135 148 166 177 185 192 192 185 176 165 148 132 126 124 125 124 122 127 145 166 175 178 168 150 138 134 141 148 150 150 149 152 145 134 117 108 109 110 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan nan 17 11 7 5 4 3 3 1 0 0 0 0 0 0 0 0 0 2 4 6 5 2 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 7 9 11 13 11 8 7 6 5 5 5 5 4 4 4 5 6 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 7 8 7 7 7 7 11 15 18 20 20 18 14 9 6 4 2 1 0 0 1 1 0 0 1 1 1 2 3 4 3 4 6 6 3 5 7 10 11 10 10 14 21 36 48 44 27 8 1 1 1 0 0 0 2 6 10 10 9 7 3 0 0 0 1 3 8 10 12 20 35 46 50 58 73 92 111 127 141 145 129 100 88 92 98 108 123 140 147 145 141 141 140 138 135 131 127 125 128 135 146 160 170 178 188 189 182 177 171 157 133 118 111 115 124 128 130 140 160 171 178 178 159 139 124 118 120 123 124 130 148 161 158 140 131 130 131 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 22 22 22 21 16 12 10 8 4 1 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 8 10 12 14 11 9 7 6 6 6 7 6 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 7 6 7 7 6 6 6 6 8 8 8 8 7 7 12 16 18 19 18 17 16 13 8 4 3 2 1 1 2 1 1 2 4 6 9 11 12 14 14 17 19 15 13 13 13 14 14 13 11 11 14 26 39 44 37 24 19 18 15 9 4 1 2 6 10 11 11 9 5 1 0 0 0 0 1 4 6 10 18 28 39 55 72 87 103 118 136 148 145 108 88 86 87 91 100 118 130 138 142 144 145 143 139 134 129 127 128 131 138 146 153 161 171 175 169 167 163 151 132 117 111 117 134 144 142 140 151 166 175 183 177 158 137 123 117 116 111 113 125 145 156 156 154 152 147 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 14 16 20 24 24 21 18 17 15 12 8 4 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 9 10 10 8 7 6 6 6 7 7 6 4 4 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 8 9 8 8 8 8 9 8 10 11 9 9 10 9 6 5 4 3 2 1 1 1 1 2 7 14 20 22 22 22 23 25 25 24 23 20 16 12 10 8 6 7 10 15 23 29 31 33 39 49 49 34 15 5 5 8 11 13 13 11 8 3 1 0 0 0 0 0 1 2 6 12 19 30 49 70 87 102 122 138 142 121 99 89 86 83 84 91 104 121 132 137 140 145 146 142 137 134 130 126 125 125 129 138 151 158 158 157 153 141 128 121 119 126 145 160 155 139 137 160 172 182 181 171 154 142 130 125 122 122 123 126 136 146 150 146 144 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 13 12 14 18 21 23 25 27 28 27 23 17 11 6 3 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 8 8 8 7 6 6 6 6 7 7 6 6 4 3 3 3 3 4 5 5 5 5 5 5 4 4 4 5 6 5 5 6 7 6 6 6 6 7 8 8 8 8 8 7 6 6 6 5 5 5 5 5 5 4 3 2 2 1 1 3 12 21 26 27 26 26 26 26 26 25 23 21 16 10 4 2 1 1 4 11 14 15 15 19 27 43 51 41 23 10 7 10 12 14 15 13 9 6 3 1 0 0 0 0 0 0 1 3 6 11 20 37 57 76 96 122 130 122 112 100 91 84 78 77 82 94 109 121 129 137 144 141 133 133 130 126 124 121 120 124 134 144 151 154 147 131 123 124 126 134 156 168 165 137 119 137 157 165 166 164 157 146 136 132 133 136 133 124 124 134 141 138 137 139 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 16 16 15 14 15 18 23 28 30 31 30 26 21 14 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 8 9 8 7 7 7 6 6 6 6 6 6 6 6 6 5 4 3 3 3 4 5 5 5 5 5 5 5 4 4 5 5 6 7 9 9 8 7 6 6 6 7 7 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 4 3 5 7 11 18 23 27 28 28 27 27 26 26 24 23 20 16 10 3 0 0 0 1 8 13 14 12 11 13 16 20 21 14 6 3 7 11 14 17 15 10 7 6 3 0 0 0 0 0 0 0 0 1 3 6 8 28 46 66 96 117 125 126 115 100 87 78 73 72 76 86 100 113 124 129 128 126 126 127 128 130 128 124 121 124 131 141 151 148 132 125 130 138 152 165 170 169 146 126 127 136 142 144 145 145 138 133 132 137 145 142 130 121 125 132 134 134 136 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
14 16 19 20 19 17 16 16 16 17 18 20 17 15 13 12 10 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 1 2 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 8 10 9 8 6 5 5 6 6 7 7 6 6 6 7 7 6 5 4 4 4 4 4 5 5 5 6 8 7 6 5 5 5 5 6 7 6 6 6 7 7 7 7 7 7 7 8 8 7 6 6 5 4 4 4 4 5 5 5 5 6 10 12 16 20 23 26 27 27 26 27 26 25 24 22 21 19 16 12 6 0 0 0 0 3 8 14 16 16 17 14 9 5 3 1 0 3 9 15 20 18 12 8 6 5 1 0 0 0 0 0 0 0 0 0 0 2 10 23 40 64 91 117 132 126 107 88 77 71 67 64 65 73 90 107 117 121 123 124 128 132 134 134 128 121 120 124 131 144 148 141 140 142 152 167 170 172 173 162 146 137 133 129 127 130 134 134 132 131 138 150 152 138 126 119 120 127 130 134 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
9 12 17 21 23 21 18 15 12 10 10 10 9 8 8 10 11 7 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 1 1 0 0 0 0 0 0 0 0 0 0 0 2 2 3 2 0 0 0 0 0 0 1 2 3 4 4 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 2 5 6 6 8 9 10 9 8 6 5 4 5 5 6 6 7 6 6 7 8 7 6 5 5 5 5 5 5 5 5 5 7 10 7 5 4 5 4 4 6 6 5 4 3 4 6 7 7 7 7 7 7 7 6 5 4 4 4 3 4 5 6 6 5 5 6 7 10 17 22 26 28 27 27 27 26 25 22 21 19 18 18 16 15 10 1 0 0 0 0 2 10 15 18 21 17 9 2 0 0 0 1 7 18 26 26 16 8 5 4 3 0 0 0 0 0 0 0 0 0 0 0 2 7 18 36 59 90 123 128 116 90 75 67 63 57 53 55 67 85 103 114 118 120 124 130 136 137 130 120 117 120 126 139 148 152 156 151 160 172 174 176 176 169 155 140 130 123 120 123 129 134 137 136 138 151 155 146 135 124 120 122 127 134 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
6 8 11 14 17 17 16 15 15 13 11 10 8 8 8 8 8 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 1 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 9 9 9 7 5 4 4 4 4 5 5 6 6 7 8 8 8 8 6 6 6 6 6 6 5 5 5 5 7 9 6 4 4 4 3 3 4 5 3 1 0 1 4 7 8 8 8 7 7 7 6 6 5 4 4 4 5 6 7 7 6 6 7 7 8 11 17 21 23 26 26 27 26 24 21 18 16 14 15 16 17 16 10 5 4 2 2 5 9 12 16 18 11 3 0 0 0 0 1 7 21 39 34 11 7 3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 33 56 93 116 122 101 78 64 58 53 48 46 51 62 78 98 112 115 114 120 133 138 134 121 114 119 128 139 149 156 162 157 160 169 173 173 170 160 143 127 117 114 116 122 129 137 143 142 144 152 156 151 142 135 130 129 132 139 143 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
5 5 6 6 6 7 7 8 10 11 11 12 12 12 11 10 8 3 1 0 0 0 0 0 1 1 0 0 0 0 0 0 2 5 6 9 9 6 4 4 3 1 0 0 1 1 3 6 10 12 10 7 5 3 2 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 2 2 2 2 2 3 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 8 8 8 7 6 5 5 5 4 4 4 5 6 7 9 9 10 9 8 7 6 6 6 7 7 6 6 5 5 5 7 8 6 5 5 4 3 1 2 4 4 1 0 1 4 7 8 10 10 10 9 8 7 7 7 6 6 6 5 4 4 4 4 4 6 6 7 8 10 10 13 18 21 22 23 21 17 14 11 10 11 16 18 21 20 15 11 10 11 12 13 16 22 23 13 3 0 0 0 0 2 12 28 45 35 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 29 53 81 108 111 88 64 51 46 39 36 39 44 54 74 99 111 108 107 124 135 141 130 120 122 132 141 147 155 162 162 161 162 159 156 154 144 129 114 105 104 111 121 129 138 144 147 152 160 162 157 149 144 140 134 134 143 144 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
4 4 4 4 3 2 1 0 0 2 6 9 12 13 13 12 10 7 3 1 0 0 0 0 1 2 3 2 3 2 0 1 3 5 6 8 9 10 10 12 12 10 8 6 6 6 8 11 16 20 20 18 15 10 6 2 1 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 1 1 2 2 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 0 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 7 6 5 4 5 5 5 5 5 5 5 6 8 9 10 9 8 7 7 7 7 6 6 6 6 5 4 4 5 8 8 6 7 7 6 5 4 3 4 4 2 1 3 5 7 8 10 10 10 9 7 6 6 6 6 5 4 2 1 1 0 1 1 2 2 4 5 6 6 6 9 13 16 16 16 14 12 8 7 9 14 19 26 28 19 16 14 14 16 17 21 31 34 23 5 0 0 1 4 10 22 38 50 38 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 11 20 43 77 102 96 68 44 32 21 17 22 28 37 52 77 103 107 102 111 124 137 139 131 128 136 147 153 159 166 169 165 156 137 131 135 131 122 109 98 95 105 119 129 136 142 145 148 153 161 166 159 153 147 140 138 141 140 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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