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