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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 8 9 9 9 9 9 9 8 7 7 6 5 5 4 3 3 2 2 3 4 5 5 4 4 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 3 2 3 4 5 5 6 6 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 5 5 4 4 3 3 3 4 5 5 4 4 5 6 5 6 6 6 5 5 5 5 5 5 5 6 6 5 5 4 4 3 3 4 5 5 6 5 5 4 4 5 5 5 5 5 5 5 6 6 5 5 5 6 6 6 6 6 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 6 6 7 9 11 15 15 11 4 0 -0 0 3 7 10 9 5 2 4 9 13 15 15 9 3 3 7 8 6 3 1 0 2 5 7 8 9 9 9 9 9 10 10 9 8 10 13 13 11 7 5 6 7 9 8 7 7 6 5 3 2 2 2 2 3 4 5 4 1 -2 -2 1 3 2 -1 -4 -5 -5 -5 -5 -5 -5 -6 -5 -5 -8 -13 -15 -11 -4 2 5 7 9 12 14 11 8 6 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 6 6 5 5 6 7 8 8 7 7 6 6 6 8 13 13 9 6 6 7 6 6 5 4 4 5 5 5 5 5 5 6 6 7 7 7 6 5 5 4 1 -4 -5 -3 1 1 -2 -2 1 3 4 3 4 4 5 5 5 6 7 6 6 5 4 4 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 6 6 5 5 4 2 2 2 2 2 2 2 2 2 1 1 1 2 3 3 4 5 6 7 7 7 8 8 8 7 7 7 6 4 2 2 2 3 3 3 3 3 3 4 4 5 6 8 10 12 12 12 11 9 8 7 6 6 5 4 4 3 2 2 3 4 6 6 5 4 6 10 9 5 -1 -4 -2 1 4 7 10 12 12 11 11 10 8 8 9 10 13 15 16 15 12 10 10 11 11 11 10 9 10 10 10 11 11 11 10 9 8 8 8 8 7 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 2 2 2 4 5 7 10 11 11 9 7 5 4 4 4 4 4 4 4 5 nan
nan 3 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 6 7 8 9 9 9 8 8 8 8 7 6 5 4 4 3 3 2 2 3 5 5 5 4 3 3 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 4 3 3 3 4 5 5 6 5 5 5 4 4 4 4 4 4 4 3 3 3 3 4 4 5 5 5 4 4 4 3 3 4 4 4 3 4 5 5 5 5 6 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 3 3 4 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 3 3 3 3 3 3 2 2 1 1 1 1 2 2 2 2 1 1 2 3 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 7 8 10 13 15 12 6 3 0 -1 1 5 8 7 4 2 5 9 10 9 7 5 2 1 3 5 4 3 3 4 5 6 6 7 7 8 7 7 8 9 9 9 9 11 13 14 12 8 5 5 6 5 4 3 3 4 3 3 2 2 2 3 4 4 4 4 1 -2 -2 1 2 -1 -5 -8 -9 -8 -6 -4 -2 -0 -0 -2 -5 -8 -9 -5 1 8 15 18 20 21 22 19 15 11 8 7 6 6 5 5 6 6 6 7 7 7 6 6 6 6 6 6 5 5 4 4 5 5 5 5 4 5 5 6 5 5 6 7 8 9 9 9 9 8 8 10 13 12 7 5 6 7 7 6 6 5 5 6 6 5 4 3 3 3 4 5 6 6 5 5 5 5 4 0 -3 -3 2 3 -2 -5 -1 2 3 3 4 4 4 5 5 5 6 7 6 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 5 6 7 7 6 5 4 2 2 2 3 2 2 2 2 2 2 2 2 2 3 4 4 5 6 6 7 7 7 8 8 7 6 5 4 3 2 2 3 3 4 3 3 3 3 3 4 5 6 6 8 9 10 11 10 9 7 7 7 8 7 5 3 2 2 2 3 4 4 6 7 7 8 10 10 7 5 3 4 8 11 12 12 11 11 12 12 12 12 12 12 13 13 13 10 8 7 7 8 9 8 8 8 7 8 9 9 8 8 7 7 6 6 7 7 6 5 5 5 5 5 4 4 4 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 2 4 6 8 9 10 9 8 7 6 5 5 4 4 4 4 4 5 nan
nan 3 3 4 4 4 4 5 5 4 4 4 3 3 3 3 3 3 4 5 6 8 8 8 8 8 7 7 7 7 6 5 5 4 4 4 3 3 4 5 6 5 4 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 5 5 5 4 4 3 3 3 4 5 6 6 5 5 4 4 3 3 3 3 4 4 4 3 3 4 5 5 5 5 4 4 4 4 3 4 4 4 3 3 4 5 5 4 5 6 5 4 5 5 5 5 6 6 6 6 5 5 4 4 4 3 3 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 2 2 1 0 1 2 2 3 2 1 1 1 2 3 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 7 8 9 11 15 14 10 7 4 2 2 4 6 6 4 3 4 6 7 6 4 2 1 2 3 3 3 4 6 8 9 8 8 8 8 7 5 5 7 7 7 8 10 11 11 12 11 9 7 5 4 3 1 0 1 2 3 3 3 2 2 3 3 3 2 2 1 0 1 1 -0 -4 -9 -10 -9 -7 -4 -1 2 3 2 -3 -8 -9 -5 3 12 24 36 43 42 38 31 23 17 14 13 11 9 7 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 5 4 4 5 5 5 5 6 6 7 8 9 9 10 10 11 13 15 13 7 4 6 7 7 6 6 6 6 7 7 6 6 5 4 2 2 4 5 5 5 5 5 5 5 4 0 -2 2 4 -1 -6 -4 1 3 4 4 4 4 5 5 5 6 7 7 6 6 5 5 5 6 6 7 6 6 6 5 5 4 4 4 5 6 7 7 6 4 2 2 2 3 3 3 3 3 3 3 3 3 2 2 3 4 4 5 6 6 6 6 7 7 7 6 5 4 3 2 2 2 3 4 3 3 3 3 3 3 4 4 5 6 7 7 7 8 8 7 6 6 6 7 6 5 3 3 2 3 4 4 4 6 8 7 6 5 6 8 8 9 10 13 15 15 12 10 10 12 13 14 14 14 14 13 12 10 7 5 5 6 6 7 6 6 6 6 7 8 7 7 6 6 5 5 5 5 5 5 4 4 5 5 3 3 4 4 4 4 4 3 3 3 3 3 2 2 2 2 3 4 5 4 4 3 3 2 2 2 3 4 6 8 9 9 8 7 7 6 5 5 4 4 4 4 4 5 nan
nan 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 2 2 3 4 5 7 8 8 8 8 8 7 7 6 5 4 5 5 5 4 4 4 5 6 6 5 4 4 4 3 3 3 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 3 3 4 4 5 6 6 6 5 5 4 2 2 2 3 4 4 4 3 3 4 5 6 5 4 4 4 4 4 4 4 5 4 3 3 4 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 4 4 4 3 3 3 4 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 2 1 1 1 2 3 3 3 1 -0 1 2 3 4 4 4 4 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 7 7 8 9 10 13 16 15 13 11 9 6 4 4 4 4 3 3 4 4 5 4 3 3 4 4 3 2 2 4 7 8 9 9 9 9 8 7 6 6 6 5 6 7 8 9 9 8 6 4 2 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 3 3 2 -0 -4 -9 -10 -8 -5 -2 0 3 4 4 -1 -7 -9 -6 2 12 24 41 57 63 59 48 35 22 16 16 18 18 15 9 4 4 4 5 5 6 5 5 5 5 5 5 6 6 6 5 5 6 7 7 7 6 5 4 4 4 4 5 5 5 6 6 7 8 9 10 11 15 19 16 8 3 5 6 5 5 5 6 6 7 8 8 9 9 7 4 2 3 4 5 5 5 5 5 5 5 3 1 1 3 0 -5 -5 0 4 4 4 4 4 4 5 6 6 6 7 6 6 5 5 6 7 7 8 8 7 7 6 5 4 4 4 4 5 6 6 4 2 1 2 3 3 3 3 3 3 3 4 4 3 2 2 3 4 4 5 6 6 6 5 6 7 7 7 5 4 3 2 3 3 3 3 3 2 2 3 3 4 4 4 4 4 5 6 6 6 5 5 5 5 6 6 6 5 5 5 4 4 5 6 5 6 6 5 3 1 3 8 13 14 13 13 13 12 11 10 10 12 14 14 14 14 14 13 11 8 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 4 4 5 5 5 5 6 7 5 2 2 4 5 5 4 4 4 4 3 3 3 3 2 2 2 3 4 5 5 4 3 3 3 2 2 3 5 7 8 8 8 7 6 6 5 4 4 3 3 3 3 4 4 nan
nan 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 2 2 2 2 4 5 6 7 7 7 7 7 7 6 5 5 5 5 5 5 4 5 6 6 5 5 4 4 4 4 4 3 4 4 5 5 4 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 6 6 6 5 4 2 2 2 3 4 4 4 4 3 4 5 6 5 3 3 4 5 4 3 4 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 4 4 3 3 3 4 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 3 2 1 -0 0 1 3 3 4 4 4 5 5 5 5 4 5 4 4 4 5 5 5 5 5 6 7 8 8 8 8 11 16 19 20 18 15 11 7 5 4 3 2 2 2 2 3 4 6 6 6 5 4 4 3 3 4 6 8 8 7 6 6 6 5 5 5 4 3 3 4 5 5 3 1 -1 -2 -2 -1 0 1 1 2 1 0 -0 1 3 2 1 0 1 2 4 4 1 -3 -7 -10 -8 -4 -1 1 3 5 6 3 -3 -7 -4 4 12 20 29 43 56 59 53 42 28 17 13 13 19 23 20 11 4 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 8 7 6 5 4 4 3 4 4 4 4 5 5 6 7 8 10 14 20 21 12 5 5 5 5 5 5 5 5 6 7 8 9 11 10 6 4 3 4 5 5 5 5 5 5 5 5 3 1 -1 -3 -5 -3 2 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 8 9 9 9 8 7 6 5 4 4 4 4 5 5 4 2 2 3 3 3 3 4 4 4 4 4 4 3 2 2 3 3 4 5 6 6 6 5 5 6 7 7 5 4 3 3 3 3 4 3 2 2 2 2 2 3 4 4 3 3 3 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 5 4 2 1 4 12 18 19 15 10 9 9 10 9 10 12 14 13 13 13 12 11 10 8 6 6 6 6 5 5 4 4 5 5 5 6 6 5 4 4 4 4 5 5 5 5 7 10 10 5 2 2 4 6 5 5 5 4 4 4 4 4 3 3 2 2 3 4 5 5 4 3 3 2 2 3 4 6 7 8 8 7 7 5 4 3 3 3 3 3 3 3 3 3 nan
nan 4 4 3 3 3 3 2 2 2 3 3 4 4 4 3 3 2 2 2 2 4 5 6 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 4 4 3 3 4 5 6 6 7 7 6 4 2 1 1 2 4 4 5 5 4 4 4 5 4 3 3 4 5 4 3 4 5 4 3 3 4 4 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 4 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 1 1 1 1 -0 -0 1 2 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 11 17 22 22 18 17 14 12 9 7 4 2 2 1 1 1 3 5 6 6 5 6 8 9 9 7 7 7 6 5 3 3 4 4 3 3 3 2 3 3 3 3 1 0 -1 -0 0 -0 -1 -1 -0 1 2 -0 -2 -1 3 5 4 2 2 3 4 2 -2 -6 -8 -6 -2 1 2 3 4 5 5 1 -4 -4 5 16 23 25 27 31 33 33 29 23 16 11 8 9 14 20 19 11 3 1 2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 7 8 8 7 7 6 5 4 3 3 3 3 3 3 3 4 5 5 7 11 18 22 17 8 5 5 5 5 5 5 4 5 6 6 8 9 10 8 5 3 3 5 6 6 5 6 5 5 6 5 3 -3 -8 -8 -2 3 5 5 5 5 4 3 3 3 3 3 3 4 5 4 4 4 5 8 9 10 10 8 7 6 5 5 4 4 4 5 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 2 2 3 4 5 6 6 6 5 5 5 5 6 5 4 3 3 3 3 3 3 2 2 1 1 1 1 2 3 3 2 1 2 4 5 6 6 5 5 6 6 6 7 7 7 6 6 6 6 6 5 5 5 4 5 9 16 21 20 14 7 6 8 10 9 10 12 13 12 11 11 11 10 9 8 8 7 7 6 5 4 4 4 4 5 5 5 5 4 3 3 3 4 5 5 5 5 8 11 10 6 3 3 5 6 6 6 5 5 5 5 4 4 4 3 3 3 3 4 5 4 4 3 2 2 3 4 5 6 7 7 8 7 6 4 3 2 2 2 3 3 3 3 3 4 nan
nan 4 4 3 3 3 3 2 2 2 2 2 3 3 4 3 3 3 3 2 2 2 3 4 5 5 6 6 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 5 5 5 4 4 3 3 4 5 6 7 8 8 6 4 2 1 1 2 4 5 5 5 4 3 3 3 3 3 3 4 4 3 3 4 5 4 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 3 3 2 2 1 1 1 1 1 -0 -1 -0 1 2 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 12 19 25 25 19 17 17 17 14 10 6 4 4 4 2 2 2 5 6 6 6 8 11 13 13 12 10 7 6 6 5 5 6 6 5 4 5 5 5 4 3 3 3 4 4 5 5 3 1 -1 -1 1 3 2 -2 -2 2 6 7 6 5 4 3 -1 -5 -8 -6 -1 2 3 3 4 4 5 3 -4 -7 0 13 25 30 28 23 17 13 11 12 11 9 7 5 4 7 12 13 8 3 1 2 3 3 4 4 4 3 3 4 4 4 4 4 4 4 5 6 7 7 8 8 7 6 5 4 3 3 3 3 3 3 3 3 4 4 7 14 21 19 11 6 5 5 5 5 5 5 5 5 5 5 6 8 8 6 4 3 5 5 5 5 6 6 6 5 6 5 -1 -9 -11 -4 3 5 6 6 6 6 4 3 2 3 3 3 3 4 4 3 3 4 7 9 10 10 9 8 7 6 6 5 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 3 4 5 6 6 7 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 2 1 -0 0 3 4 3 1 1 3 5 6 6 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 8 9 11 14 18 21 18 10 4 4 8 10 9 10 10 10 9 9 9 9 10 10 9 9 8 8 7 6 5 3 3 4 4 5 5 5 4 3 3 3 4 4 4 4 5 8 10 9 5 4 5 6 7 6 6 5 5 5 5 5 5 4 4 3 3 4 4 5 4 3 3 2 2 3 4 5 6 7 7 7 6 5 3 2 1 2 2 3 4 4 5 5 5 nan
nan 4 4 4 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 3 2 2 2 3 3 4 5 6 7 8 8 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 4 4 3 3 4 5 5 6 7 8 6 4 2 1 1 3 4 4 5 5 4 3 3 3 3 3 3 4 3 3 3 4 5 4 3 3 4 4 4 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 4 4 4 4 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 4 4 4 4 4 3 3 3 3 3 3 2 2 1 1 1 1 1 -1 -2 -1 -0 1 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 12 18 26 30 25 19 17 17 16 11 7 7 7 5 3 2 3 6 9 10 9 9 10 11 11 11 10 8 7 8 9 9 8 8 9 10 9 8 6 5 3 3 5 7 7 6 6 5 3 2 1 3 5 5 1 -2 0 4 7 6 6 5 3 -1 -4 -4 -2 1 1 2 4 5 7 7 0 -8 -6 6 18 26 27 24 19 13 8 7 9 10 9 8 5 3 4 5 6 6 5 5 5 4 3 3 4 4 4 4 5 5 5 5 4 4 4 4 5 6 7 8 9 9 8 6 5 4 4 3 3 3 2 2 2 3 3 4 10 18 20 15 9 6 5 4 5 6 6 5 5 5 4 4 5 6 6 4 4 5 5 4 5 7 8 7 6 6 5 1 -8 -12 -6 2 6 6 7 8 7 5 3 3 3 3 3 4 4 4 3 3 4 6 8 9 9 8 8 7 7 7 6 6 6 6 5 5 3 3 3 3 4 3 3 3 3 4 4 4 4 4 3 3 3 4 5 6 7 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 5 3 1 1 3 4 3 3 3 3 3 4 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 8 11 12 13 15 18 19 14 5 2 4 8 9 8 7 7 5 3 3 5 7 9 9 9 9 8 8 7 6 5 4 3 4 5 5 5 4 3 3 4 4 3 3 3 3 5 8 9 7 5 5 6 7 7 6 5 5 5 5 5 5 5 5 4 3 3 4 4 4 4 3 2 1 1 2 4 5 7 7 7 6 5 4 3 2 1 2 3 3 4 5 6 8 8 nan
nan 3 4 3 3 2 2 3 4 4 3 3 3 3 3 3 3 4 4 3 3 2 2 2 2 3 4 6 7 8 8 7 7 6 6 6 6 5 5 5 5 4 3 3 4 4 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 5 6 6 6 5 4 2 1 2 3 3 3 4 4 4 3 3 4 3 3 3 3 3 3 3 4 4 4 3 4 4 4 4 4 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 5 4 5 5 5 5 4 5 5 4 4 4 3 3 3 3 3 2 2 2 1 1 2 1 -1 -2 -2 -1 0 2 3 4 5 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 11 15 21 27 26 18 14 13 11 8 6 6 4 3 1 0 2 6 10 12 12 11 9 6 5 5 6 7 6 6 7 6 5 6 9 12 10 7 5 3 2 3 5 7 6 5 5 5 5 4 4 4 5 4 1 -2 -1 2 5 5 6 6 4 2 0 0 1 1 1 3 5 7 8 5 -3 -7 1 13 19 19 17 15 13 11 10 9 10 11 12 11 9 7 5 3 3 5 10 14 12 6 3 4 4 4 5 6 7 8 8 8 7 6 5 5 5 6 6 7 8 9 8 7 6 5 5 5 4 3 3 3 3 3 3 3 5 12 17 17 13 10 7 5 5 7 7 6 6 6 5 3 2 4 5 4 4 5 6 5 5 6 8 8 7 6 5 3 -6 -13 -7 2 6 6 7 7 7 6 5 4 3 3 3 4 4 4 4 3 3 4 6 7 7 7 7 7 7 7 7 7 7 6 6 5 3 2 2 3 4 4 4 3 3 3 4 4 5 4 4 3 3 4 5 5 6 7 7 7 6 5 4 3 2 3 3 3 3 3 4 4 4 5 6 6 5 4 4 4 4 3 4 3 2 3 3 4 6 6 6 6 7 7 9 10 10 9 8 9 9 10 11 11 11 13 16 15 8 2 2 6 9 8 7 6 5 3 1 1 3 5 7 9 9 8 8 7 7 6 5 5 4 5 6 6 5 4 3 3 4 4 3 2 2 2 5 8 8 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 3 3 3 4 3 3 2 1 0 0 2 4 6 7 6 5 5 5 4 3 2 2 2 3 3 4 6 8 10 11 nan
nan 4 3 2 2 2 2 3 4 5 4 4 3 3 3 3 3 3 3 4 4 3 3 2 2 2 3 5 6 7 7 7 7 6 6 6 6 6 6 6 5 4 3 3 3 4 5 5 6 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 3 2 2 2 3 3 3 3 4 4 3 4 4 4 3 3 4 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 4 5 5 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 5 4 4 4 4 5 5 5 4 4 4 5 5 6 6 5 5 5 5 5 4 4 5 5 4 4 4 3 3 3 3 2 2 2 2 2 1 2 2 0 -2 -3 -2 -0 2 3 4 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 8 8 8 9 10 12 14 16 16 13 9 7 5 3 3 1 -0 -1 -1 -1 1 4 7 8 10 10 7 3 0 1 4 5 5 4 4 4 5 6 8 9 8 6 5 3 2 3 6 8 7 5 5 5 5 5 4 4 4 2 0 -1 1 3 4 4 6 8 8 6 4 4 4 3 4 5 6 6 6 1 -6 -3 9 16 16 13 10 8 8 8 9 8 8 10 12 13 13 12 9 5 3 6 13 19 17 8 3 4 5 4 5 6 7 8 10 11 11 10 9 8 7 6 6 6 7 7 7 7 6 6 6 6 5 4 4 3 3 3 3 3 3 6 10 14 14 13 10 8 7 7 7 7 7 7 6 4 2 2 3 4 4 6 7 6 5 6 7 7 8 7 5 2 -6 -12 -7 1 5 6 7 7 7 6 6 5 4 3 3 4 4 5 4 3 3 3 4 5 5 5 6 6 7 6 6 7 7 7 6 5 3 2 2 2 3 4 4 4 4 4 4 4 5 5 4 4 4 4 5 5 6 7 7 7 7 6 5 3 3 2 3 4 4 4 4 4 4 4 5 6 6 6 5 5 4 4 4 3 3 3 3 5 7 8 7 7 7 8 11 12 10 8 8 10 10 10 8 7 7 10 12 10 5 2 4 8 9 8 6 6 7 7 7 8 8 8 9 9 8 7 6 6 6 5 5 5 5 6 6 7 6 4 4 3 4 4 3 2 2 3 5 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 3 3 3 3 2 1 0 -0 -0 1 4 6 7 6 5 5 5 5 4 3 3 3 3 3 4 5 7 10 12 14 nan
nan 5 3 2 2 2 2 3 4 5 5 4 4 4 4 3 2 2 3 3 4 4 3 3 2 2 3 3 4 5 6 6 6 6 6 6 6 6 6 6 5 4 3 3 3 4 5 5 6 5 5 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 4 3 3 2 2 2 3 3 3 3 4 4 4 3 4 4 4 4 3 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 4 5 4 4 4 5 5 5 5 5 5 4 4 3 3 3 3 3 4 4 4 5 4 4 4 4 4 5 5 5 4 3 4 4 5 6 6 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 3 3 2 2 2 2 2 1 -1 -2 -2 -1 1 3 4 5 6 6 5 4 4 5 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 9 7 6 6 5 3 2 1 0 -1 -2 -1 1 1 2 3 3 3 4 5 5 3 2 3 5 6 6 6 6 7 8 8 8 7 6 5 5 4 3 3 5 7 8 7 6 6 5 5 4 4 4 3 1 1 3 5 3 2 6 11 13 11 8 6 6 7 6 5 3 3 1 -5 -8 0 12 15 12 9 8 7 6 7 7 7 7 9 10 11 11 13 11 7 5 6 10 15 14 7 4 5 4 4 5 5 6 7 8 10 13 14 13 11 9 6 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 4 4 4 4 6 8 10 11 10 9 9 8 7 8 9 8 7 7 5 4 4 3 3 6 7 6 6 6 6 6 7 7 5 0 -8 -11 -5 1 4 6 6 7 6 6 6 6 5 4 3 4 5 5 4 4 4 3 3 4 4 4 5 6 6 6 5 6 7 8 7 5 3 1 1 2 3 4 4 4 5 5 4 4 4 5 5 5 4 5 5 5 5 6 6 7 7 6 5 4 3 2 2 3 4 5 5 5 5 4 4 4 5 5 5 4 4 4 4 3 4 4 4 6 9 10 9 8 8 9 11 10 8 7 9 9 9 8 6 4 5 8 10 8 4 3 5 8 8 7 7 8 9 11 13 14 14 12 12 11 9 7 5 5 4 4 4 4 5 6 7 7 6 5 4 3 4 3 3 2 2 3 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 3 3 2 1 0 -1 -1 1 5 8 8 7 5 5 5 6 6 5 4 4 4 4 4 4 6 8 11 14 15 nan
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nan 13 13 13 13 13 12 10 8 6 5 5 5 5 6 6 6 6 6 7 8 9 11 12 12 13 14 15 16 16 16 15 12 10 7 6 5 5 6 7 8 10 11 12 12 13 13 14 15 16 16 17 18 18 18 18 17 17 17 17 17 18 18 17 16 16 15 14 14 14 14 14 15 15 14 15 16 19 20 21 19 16 13 11 9 9 9 11 12 12 14 15 16 16 16 16 14 14 13 12 12 12 12 12 11 12 12 12 13 13 13 13 13 13 12 12 11 10 10 9 8 8 8 9 9 10 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 12 13 15 16 17 18 18 17 16 15 14 13 13 14 14 14 15 15 14 14 14 13 13 13 13 13 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 13 15 17 18 16 13 10 7 7 9 11 12 12 12 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 12 13 13 12 11 10 10 12 14 17 19 17 13 8 4 4 7 9 12 12 12 13 14 15 15 16 15 13 12 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 13 13 14 14 13 12 11 11 11 12 13 13 13 14 14 13 13 12 11 10 9 8 8 7 8 8 7 7 7 7 7 6 5 4 3 4 4 6 7 9 9 9 9 9 9 10 10 12 13 13 14 14 14 13 13 13 12 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 16 18 20 20 20 18 16 14 13 13 12 12 12 13 13 13 13 13 13 13 13 14 16 17 19 22 25 27 29 30 29 29 29 28 26 23 23 23 23 22 20 17 16 14 13 12 12 11 10 10 9 8 6 4 2 0 -1 -1 1 4 6 8 10 11 12 13 14 13 13 13 14 16 17 15 13 10 7 6 6 7 9 10 10 9 9 8 9 9 10 10 11 12 12 12 12 12 11 11 11 10 9 8 7 7 9 12 15 16 15 13 12 10 8 8 8 8 8 8 8 8 9 10 11 12 13 14 14 14 13 13 12 11 11 12 13 13 13 12 11 11 11 12 13 12 12 11 11 11 12 13 13 12 11 10 10 10 10 11 11 11 nan
nan 9 9 9 9 8 7 7 6 5 4 4 5 5 6 7 8 7 7 7 7 8 9 11 12 14 15 16 16 16 15 14 12 9 8 6 6 6 7 8 9 9 11 12 12 13 14 14 15 15 15 15 15 16 15 16 16 16 16 17 17 18 18 18 17 16 15 14 13 12 12 12 12 12 11 11 11 12 14 16 16 14 12 10 9 8 8 9 10 11 12 13 14 15 15 15 15 14 14 14 13 13 12 12 12 11 11 11 11 12 12 13 13 12 11 11 10 9 8 8 7 7 7 8 10 11 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 15 16 17 17 17 17 17 16 15 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 15 17 20 20 19 15 12 8 6 7 8 10 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 12 14 15 19 19 17 12 7 5 6 10 11 12 12 12 13 14 15 16 16 15 14 12 11 12 12 12 11 11 11 11 12 12 13 13 13 12 12 12 13 14 14 13 12 11 11 12 12 13 13 12 12 12 11 11 10 10 9 8 7 7 7 7 7 6 5 5 4 4 3 3 3 4 5 6 7 9 9 10 10 9 9 9 10 11 12 14 14 14 14 14 13 13 13 13 13 12 13 13 12 12 12 12 12 12 11 11 11 11 11 12 12 13 14 16 18 19 19 18 16 14 13 12 12 12 12 12 13 13 13 13 13 13 13 13 14 15 15 17 19 21 24 28 30 30 30 30 29 27 25 24 23 22 21 20 18 16 14 13 13 12 11 11 10 10 9 8 5 2 -1 -4 -3 -0 4 7 9 10 11 12 13 13 13 12 12 12 13 13 14 14 14 12 11 11 11 10 10 9 9 9 9 8 8 9 9 10 11 11 12 12 11 11 10 10 11 10 9 8 8 9 11 13 14 14 13 11 10 9 9 9 8 8 7 7 7 8 9 10 11 12 13 14 15 14 12 11 10 10 11 12 13 13 13 12 11 11 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 12 12 13 nan
nan 6 5 4 3 3 3 4 5 6 5 5 5 5 7 9 11 12 13 13 13 14 14 15 16 17 17 17 16 15 14 13 11 10 9 7 6 7 7 8 8 10 11 12 13 14 14 14 15 14 14 14 14 14 14 14 14 15 16 17 17 18 18 17 17 16 15 14 13 12 12 11 10 10 9 8 8 8 9 10 11 11 10 10 9 9 9 9 10 10 11 13 14 14 15 15 14 14 14 14 13 13 12 12 11 10 10 10 10 11 11 12 12 11 11 10 9 8 8 8 8 9 9 10 12 13 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 12 13 14 15 16 17 17 17 16 16 15 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 15 16 19 20 20 19 16 12 8 6 6 7 8 10 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 11 11 12 12 13 13 12 11 10 10 10 11 12 13 13 13 12 11 11 12 13 15 17 16 14 11 9 9 11 12 13 13 12 13 13 14 15 16 15 15 14 12 11 11 11 11 11 11 10 11 11 12 13 14 13 13 12 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 7 6 5 4 3 3 4 6 6 6 7 7 7 8 8 9 10 10 9 9 9 9 10 12 13 14 15 15 14 14 13 13 13 13 13 13 12 12 13 13 12 12 12 11 11 11 11 11 11 12 12 13 15 17 18 18 17 16 13 12 12 11 11 12 12 13 13 13 13 13 13 13 13 14 15 15 15 16 17 19 22 26 28 30 31 32 32 30 30 28 25 23 22 20 19 17 15 14 13 12 12 11 11 11 10 9 6 3 -2 -5 -4 -1 3 7 9 10 11 12 13 13 12 12 11 11 10 10 12 13 14 14 14 13 12 12 11 11 10 9 9 9 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 9 10 11 12 13 13 13 13 12 11 11 11 10 10 9 8 8 8 8 8 9 10 11 13 14 14 13 12 11 10 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 13 13 13 nan
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nan 7 6 5 5 4 6 7 9 10 11 11 10 9 7 8 9 11 13 15 17 18 18 18 18 17 15 13 11 10 9 8 9 9 9 9 9 8 8 8 9 10 11 12 13 14 14 14 13 13 13 13 14 15 15 16 17 18 19 19 19 19 18 18 17 17 17 16 16 15 15 14 13 12 11 9 9 8 9 9 10 11 12 12 12 13 13 13 14 15 17 16 16 15 14 13 12 12 12 12 11 10 10 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 12 12 13 14 14 14 15 16 17 17 17 16 16 15 15 15 15 15 14 14 14 14 14 14 15 15 14 13 12 11 11 10 11 11 11 11 11 12 12 12 13 13 13 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 14 16 19 19 19 15 10 5 3 6 8 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 15 14 12 11 10 10 11 13 15 15 16 15 13 11 9 8 8 9 10 11 12 13 12 12 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 13 13 14 14 14 14 13 12 11 10 10 9 10 11 11 11 12 12 13 14 14 14 12 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 6 6 5 3 2 1 0 -0 0 2 4 7 10 12 13 12 11 9 8 8 9 9 10 10 9 9 9 9 10 12 14 15 15 15 14 13 13 13 12 12 12 12 12 12 13 13 13 12 12 12 11 11 10 10 10 10 11 12 14 16 17 18 18 16 14 13 12 12 12 12 13 13 14 14 14 14 14 14 14 14 15 16 17 18 18 19 19 20 21 22 24 28 31 34 35 35 35 33 30 28 25 22 19 18 16 15 14 14 13 13 12 12 11 9 4 -1 -3 -2 1 4 7 8 9 10 12 13 13 13 12 12 11 11 11 11 12 12 12 13 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 10 11 11 11 11 11 12 12 12 11 10 9 9 9 10 11 12 13 13 12 11 10 9 8 9 10 11 12 13 12 12 11 10 10 10 11 12 12 13 12 12 12 12 12 13 13 13 12 13 14 14 14 14 13 nan
nan 5 6 6 8 7 7 8 8 9 10 11 11 9 8 6 5 4 5 7 9 11 12 13 13 12 11 9 7 6 5 4 4 5 6 7 8 9 9 10 10 10 11 11 12 13 13 13 13 13 13 13 14 15 16 17 18 20 21 21 21 20 19 18 18 17 17 17 17 17 16 16 15 14 12 12 11 10 10 11 11 12 12 13 13 14 14 15 16 17 18 18 18 17 15 13 12 12 11 11 10 9 9 9 8 8 8 8 8 8 9 10 10 11 11 12 12 11 12 12 12 12 12 12 12 11 12 13 14 16 16 16 16 16 15 15 15 15 15 15 15 15 16 16 16 15 14 12 10 8 7 7 8 9 9 10 10 10 10 11 11 12 13 13 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 13 15 19 21 22 19 14 7 3 3 4 8 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 13 14 14 15 14 12 11 10 10 12 14 15 16 16 14 13 12 11 11 10 10 10 11 12 12 12 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 9 10 12 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 8 6 4 3 1 0 -0 -0 -0 1 3 6 9 12 14 14 13 12 10 9 8 9 9 9 10 9 9 8 9 10 11 13 14 15 15 14 14 13 12 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 12 14 16 18 19 18 17 15 14 13 12 13 13 13 14 14 14 15 14 14 14 14 14 15 16 17 18 19 20 20 20 20 21 22 25 28 31 34 36 37 36 34 31 28 25 22 20 17 15 15 14 14 13 13 13 12 8 2 -0 -2 -1 2 6 8 9 10 10 11 11 12 12 12 12 12 11 12 12 13 13 13 13 12 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 10 11 11 11 11 10 9 9 9 10 12 13 13 13 12 11 10 9 9 9 10 11 13 12 11 11 10 10 10 10 11 11 11 12 13 13 13 13 13 13 13 13 13 14 14 14 14 13 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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20 28 39 50 47 47 44 53 58 51 40 34 33 36 39 42 44 43 44 47 54 65 67 61 52 47 44 45 48 55 58 53 49 47 45 42 40 40 45 46 45 37 26 29 40 41 41 41 40 38 34 29 24 23 23 22 22 20 19 21 21 19 17 17 19 20 20 25 29 25 23 24 20 18 20 21 17 19 23 21 19 14 14 14 12 11 15 15 11 11 14 13 9 7 9 11 10 7 7 9 11 12 9 8 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 6 3 4 6 8 7 8 7 8 9 7 6 7 16 77 140 126 71 32 35 78 137 262 540 800 731 581 496 377 184 112 153 243 200 188 157 182 72 35 53 60 68 116 145 152 184 414 946 1650 2057 1809 1389 1191 1134 1044 960 892 1069 1405 1710 1862 1994 2146 2218 2204 2244 2283 2331 2452 2602 2630 2583 2655 2688 2466 2113 1831 1593 1007 161 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 8 8 8 8 8 6 3 1 0 0 0 1 1 5 7 4 0 1 4 6 6 8 10 12 12 11 10 13 22 31 32 25 20 19 16 10 3 0 0 0 0 0 0 0 0 0 0 1 9 22 142 545 805 781 774 790 781 798 784 718 776 1032 1220 1159 1091 1180 1319 1351 1175 1239 1647 1616 1026 1255 1496 1390 1436 1528 1612 1828 2099 2205 2124 1932 1595 1202 921 794 897 1111 1163 1101 1060 952 821 815 849 915 1051 1205 1351 1372 1356 1327 1323 1444 1522 1668 1772 1360 1455 1262 1195 1225 1252 1231 1128 1003 880 720 537 395 335 378 571 812 914 970 1004 960 884 823 793 837 910 1011 1193 1351 1284 1253 1355 1455 1533 1642 1813 2254 2784 3254 3367 3200 2884 2517 2290 2241 2331 2503 2770 3002 2693 2565 2886 3251 3582 3202 2876 2316 1918 1720 1605 1523 1395 1257 1217 1557 2240 2552 2421 2202 2208 2154 1924 1738 1764 2066 2375 2347 1946 1651 1511 1326 1252 1368 1764 2012 2157 2189 2157 2146 2185 2266 2173 2084 2166 2357 2553 2407 2018 1705 1555 1421 1114 839 618 302 145 157 312 549 648 699 896 1173 1271 1332 1587 1795 1818 1750 1657 1521 1416 1328 1216 1118 1041 989 1023 1220 1695 2510 2913 3198 3140 3127 3282 3158 2860 2803 3330 4085 4210 3751 3636 3863 3698 3172 2848 2744 2534 2328 2169 2050 1866 1707 1568 1561 1575 1545 1510 1456 1449 1453 1460 1455 1422 1391 1373 1375 1400 1425 1454 1530 1698 2052 2536 2892 2777 2555 2337 2227 2092 1688 1559 1430 1073 805 712 669 615 566 492 422 345 296 449 726 906 956 864 942 1145 1427 1839 2206 2270 1961 1511 1218 1151 1214 1305 1397 1519 1694 1877 2088 2108 2036 1989 2046 2083 2060 1926 1753
15 20 29 41 46 50 58 83 79 65 55 48 46 44 42 45 52 55 51 49 53 60 65 64 59 52 48 44 47 60 64 58 55 53 52 51 50 49 46 43 47 44 31 29 35 44 46 44 41 38 31 28 24 23 22 20 20 20 18 19 20 19 16 18 19 21 22 24 27 18 17 16 13 13 15 16 18 19 19 19 16 12 16 17 11 10 16 16 11 11 14 13 9 8 10 12 11 8 7 10 11 12 11 9 8 8 8 8 10 10 10 10 10 10 10 10 9 10 10 9 5 2 3 6 8 8 7 7 10 12 7 7 9 18 76 175 156 65 17 11 23 113 275 472 596 461 298 459 685 468 199 180 298 258 254 180 196 141 127 114 46 13 18 41 193 311 306 661 1460 2054 1990 1590 1266 1068 913 785 789 1223 2099 2326 1955 2038 2271 2316 2299 2312 2333 2358 2470 2582 2517 2441 2563 2593 2376 2022 1771 1557 894 181 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 3 3 3 4 4 5 5 4 4 3 2 2 1 2 4 4 4 6 4 2 0 0 2 3 5 8 11 12 11 9 9 13 22 29 29 22 17 17 13 4 0 0 0 0 0 0 0 0 0 0 0 2 18 100 394 687 690 566 559 592 608 638 621 588 753 1106 1287 1242 1311 1369 1317 1212 959 1029 1542 1873 1157 1336 1557 1156 1056 1164 1238 1456 1758 1964 2160 2253 2106 1718 1283 956 890 1035 1073 1014 1020 952 874 918 1058 1226 1277 1367 1520 1474 1387 1375 1484 1545 1379 1272 1409 1503 1616 1428 1302 1342 1394 1386 1336 1245 1121 952 763 634 564 524 559 683 779 814 899 932 950 919 833 872 931 1012 1107 1210 1104 1014 1062 1199 1337 1464 1603 1868 2232 2579 2863 3084 3100 2815 2420 2123 2085 2211 2347 2832 2541 2302 2509 2855 3369 3206 2938 2534 2162 1853 1734 1629 1583 1602 1598 1633 1759 1829 1867 1939 2034 2143 2152 2016 1850 1921 2322 2519 2126 1869 1635 1369 1200 1269 1633 1969 2123 2189 2268 2292 2313 2332 2177 1979 1925 2048 2300 2442 2253 1842 1564 1380 1117 792 472 227 121 190 343 574 689 831 979 1192 1430 1722 2033 2182 2169 2033 1830 1686 1601 1519 1403 1239 1125 1156 1270 1633 2234 2896 3126 3016 2881 3228 3347 2799 2319 2625 3576 4217 3873 3258 3262 3454 3223 2776 2419 2201 2151 2169 2088 2039 1902 1685 1624 1640 1605 1563 1563 1615 1632 1600 1580 1564 1511 1460 1433 1409 1390 1382 1394 1491 1703 2080 2494 2623 2401 2076 1871 1894 1988 1690 1352 1182 1032 843 717 683 620 565 512 488 416 363 569 795 1010 1188 1200 1258 1574 2079 2631 3009 2895 2225 1495 1211 1223 1489 1648 1602 1741 1940 2136 2353 2442 2446 2358 2314 2282 2196 2013 1791
30 20 17 20 26 36 49 63 65 60 57 54 54 54 48 42 45 52 51 50 51 55 60 61 60 57 54 48 45 52 58 57 59 58 57 54 53 54 55 53 48 42 33 28 32 44 50 48 43 36 27 27 24 22 23 21 20 19 16 16 17 16 16 19 20 21 21 25 22 12 13 11 10 12 14 16 21 25 21 18 15 14 18 18 11 10 15 16 10 10 14 14 10 9 11 13 12 9 8 9 11 12 11 9 8 8 9 9 10 10 10 9 10 10 10 10 10 9 10 9 6 3 3 6 7 7 7 8 8 7 8 7 5 16 51 122 134 67 18 26 88 122 225 411 571 499 626 1150 1175 675 393 280 218 157 128 59 47 73 86 88 34 9 27 92 141 115 100 345 1083 1868 2091 1801 1404 1114 929 828 1111 2049 2667 2859 2238 2360 2394 2348 2295 2410 2454 2435 2488 2567 2475 2371 2462 2429 2203 1916 1710 1500 941 271 18 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 1 1 1 2 2 2 1 1 2 3 2 1 1 2 2 3 5 7 8 8 8 4 2 0 0 2 2 5 8 11 11 10 8 9 15 23 23 17 9 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 6 64 309 573 598 526 473 439 438 484 528 513 489 576 750 810 819 1047 1180 993 868 666 629 934 1506 1164 1175 1285 767 543 582 639 749 892 1033 1324 1666 1965 1963 1579 1104 887 912 972 977 910 855 854 898 1036 1196 1280 1275 1271 1244 1205 1183 1287 1249 1076 963 1198 1593 1793 1696 1573 1601 1694 1697 1649 1548 1427 1287 1092 975 933 879 789 728 794 909 1077 1081 1094 1015 890 964 1012 1066 1096 1085 990 940 1010 1092 1115 1148 1232 1414 1719 2024 2313 2753 3192 3195 2722 2288 2183 2343 2244 2477 2566 2734 3024 3070 2982 2819 2534 2273 2172 2013 1915 1901 1917 1890 1984 1890 1637 1498 1572 1739 1876 1977 2038 1922 1744 1427 1616 2475 2451 2198 1824 1436 1215 1197 1430 1851 2098 2189 2226 2300 2390 2406 2307 2115 1970 2019 2176 2319 2247 1974 1690 1411 1144 770 460 237 195 293 433 593 695 822 957 1172 1525 1924 2294 2482 2367 2081 1860 1762 1716 1643 1459 1283 1230 1277 1748 2334 2904 3109 3136 2973 3118 3402 3184 2465 2027 2467 3431 3933 3569 3174 3201 3230 2990 2572 2330 2272 2102 2163 2116 2020 1900 1768 1664 1680 1645 1592 1575 1611 1660 1657 1620 1576 1508 1441 1412 1388 1370 1362 1386 1496 1776 2142 2469 2532 2254 1825 1616 1694 1855 1768 1348 940 962 879 750 701 671 568 547 567 597 748 876 999 1193 1454 1654 1841 2255 2832 3336 3524 3100 2183 1400 1386 1615 1953 1888 1776 1938 2103 2312 2530 2682 2700 2563 2395 2302 2226 2004 1756
61 32 17 16 15 20 29 39 49 55 55 53 57 61 58 45 35 37 42 50 49 51 53 55 55 55 55 52 48 46 47 52 58 57 55 54 55 55 55 53 48 42 33 26 27 35 46 49 42 32 28 26 22 19 21 21 19 17 14 14 15 14 16 19 20 18 18 21 17 10 10 9 9 11 14 15 20 30 28 22 18 17 20 19 13 11 15 16 11 10 13 15 11 9 11 14 14 11 8 9 11 12 12 10 8 8 8 8 8 10 11 9 10 10 8 10 10 11 10 9 6 2 3 7 7 7 7 8 8 7 8 5 4 12 33 63 63 26 7 114 391 279 170 154 168 220 664 805 471 352 453 481 369 277 174 93 19 8 15 18 8 7 66 268 477 475 273 167 647 1545 2074 1967 1579 1267 1108 1284 1920 2401 2645 2988 2978 2697 2537 2447 2369 2497 2526 2524 2517 2572 2540 2477 2599 2302 1941 1779 1619 1385 1004 475 101 4 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 2 3 2 2 2 1 1 1 2 3 2 3 4 4 6 8 10 12 12 11 7 5 1 1 3 3 5 9 10 10 8 8 11 16 18 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 22 210 489 547 467 424 419 429 463 515 541 524 500 498 504 484 504 676 792 664 650 635 554 554 909 1009 934 870 512 331 376 425 425 407 390 452 694 1201 1671 1678 1316 1053 1026 1061 1013 882 840 824 758 704 711 845 916 884 817 822 922 1013 1014 938 926 1135 1585 1691 1727 1760 1840 1913 1917 1883 1799 1807 1760 1493 1385 1312 1260 1219 1073 1040 1188 1325 1359 1300 1163 1071 1130 1153 1186 1229 1148 1048 1026 1056 1050 1021 1006 1012 1113 1348 1610 1840 2169 2704 3193 3040 2558 2332 2581 2515 2275 2590 3102 2992 2635 2693 2647 2396 2176 2118 2095 2061 2127 2145 1830 1416 1418 1493 1331 1300 1471 1749 1823 1894 1840 1698 1450 1401 2237 2632 2478 2074 1589 1256 1112 1287 1699 1928 1938 1939 2060 2191 2210 2146 2055 2037 2054 2065 2022 1999 1922 1669 1370 1229 790 449 300 370 521 650 718 751 815 942 1206 1597 2012 2409 2635 2320 1789 1697 1798 2016 1953 1570 1370 1547 1864 2233 2616 2899 3032 3058 3055 3245 3435 3187 2399 1749 2048 2864 3282 3249 3264 3364 3339 3151 2808 2569 2429 2295 2194 2119 2123 1953 1704 1634 1666 1671 1642 1584 1550 1572 1612 1601 1531 1468 1414 1383 1355 1317 1352 1407 1554 1846 2192 2458 2493 2186 1758 1641 1695 1674 1696 1561 774 852 902 862 811 806 639 633 709 807 881 1057 1256 1479 1817 2195 2587 2995 3392 3652 3543 2790 1864 1491 1723 2127 2198 1923 1832 1963 2203 2453 2622 2734 2747 2635 2462 2343 2239 1941 1701
76 44 23 21 24 23 27 38 48 55 59 61 66 71 69 53 36 34 40 49 46 50 51 53 54 55 54 52 51 47 44 48 55 56 56 55 58 58 56 54 51 45 34 27 28 34 43 46 39 31 27 23 18 16 20 23 23 20 15 16 15 14 15 18 18 17 17 16 12 9 8 8 10 13 15 14 18 27 31 28 24 21 20 17 12 11 15 17 13 10 13 15 13 9 10 14 14 13 8 8 11 11 12 13 10 8 8 8 9 9 10 10 10 9 9 10 9 10 9 9 6 2 4 6 7 7 8 7 7 8 8 6 6 12 20 28 42 31 13 84 173 131 107 96 88 367 726 706 544 423 402 440 477 515 497 463 443 352 244 140 88 17 120 530 843 808 546 220 371 1223 1983 2063 1733 1444 1456 1770 2112 2242 2283 2441 2788 2893 2825 2593 2480 2566 2603 2620 2537 2549 2576 2573 2751 2187 1814 1745 1439 1073 879 583 204 26 3 0 0 0 0 0 0 0 0 0 0 0 0 3 2 2 4 5 3 2 3 4 2 1 2 3 4 5 5 5 7 10 12 14 15 13 11 9 5 3 4 4 5 10 10 8 7 7 10 11 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 81 367 501 437 426 458 494 508 504 502 507 499 485 483 485 479 492 553 625 681 830 1008 965 744 647 739 755 589 417 399 556 648 651 628 494 334 308 615 1272 1767 1767 1589 1483 1361 1191 1050 1011 916 752 565 414 550 710 750 747 776 854 944 1003 975 940 1079 1400 1412 1506 1672 1764 1742 1752 1745 1732 1922 2053 1902 1718 1549 1489 1375 1300 1398 1529 1537 1579 1516 1318 1204 1269 1318 1392 1451 1328 1234 1239 1199 1120 1108 1114 1064 1007 1048 1231 1457 1753 2256 2976 3349 3079 2884 2685 2770 2606 2465 3063 2936 2732 2742 2703 2593 2495 2316 2193 2205 2388 2475 2239 1877 1456 1171 1023 1136 1405 1750 1783 1728 1634 1859 2350 2498 2489 2775 2780 2400 1907 1516 1294 1317 1559 1817 1861 1775 1778 1852 1911 1818 1756 1959 1925 1647 1511 1568 1684 1569 1448 1299 960 609 539 664 854 988 1013 976 989 1125 1380 1725 2100 2492 2703 2220 1615 1827 2309 2550 2405 1887 1696 1995 2507 2641 2683 2824 2910 2994 3200 3482 3645 3460 2677 1676 1545 1953 2357 2555 2876 3297 3401 3261 3035 2819 2580 2357 2228 2151 2124 1955 1681 1557 1595 1635 1616 1553 1535 1492 1501 1530 1532 1512 1447 1349 1305 1238 1274 1397 1603 1889 2202 2397 2346 2092 1847 1833 1794 1468 1489 1437 968 845 992 1005 891 753 671 738 918 1092 1207 1321 1535 1813 2201 2633 3033 3395 3530 3247 2658 2113 1897 2039 2309 2411 2146 1776 1742 1978 2252 2505 2609 2671 2700 2684 2569 2443 2218 1919 1685
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57 54 60 66 59 47 41 40 43 48 54 57 60 72 73 63 53 49 50 54 57 57 53 52 55 58 61 56 57 53 54 52 53 56 58 55 53 56 55 48 44 43 44 37 36 36 37 38 36 31 24 20 19 19 19 20 19 17 17 19 18 13 12 14 16 16 13 10 11 10 9 11 12 11 10 12 16 19 20 25 25 21 16 12 9 11 16 17 13 10 11 15 14 10 9 11 13 14 12 9 8 10 11 12 11 9 9 8 9 8 9 8 7 7 8 9 10 10 10 10 7 2 5 7 7 7 7 7 7 7 8 8 6 7 12 19 24 21 13 15 24 47 162 306 445 587 556 538 576 669 673 530 489 527 555 554 523 463 444 554 638 571 629 1313 1611 1169 1055 892 469 715 1733 2129 1836 1660 1808 1865 1737 1796 1893 1848 1964 2449 2875 2914 2754 2719 2690 2730 2633 2540 2403 2279 2124 2019 1581 1252 733 327 89 10 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 6 2 1 3 3 2 1 3 5 5 6 8 11 14 17 21 24 26 26 22 16 9 5 4 5 10 12 9 6 5 4 2 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 55 296 518 468 424 405 389 379 389 415 422 426 446 456 423 374 340 325 361 455 614 801 1051 1163 1140 829 723 834 956 957 1245 1319 1340 1259 1512 1528 1422 1260 969 1070 1384 1671 2048 2383 2608 2653 2522 2261 2110 2030 1954 1815 1509 1222 1176 1198 1176 1292 1374 1293 1143 1041 1010 978 1136 1321 1277 1177 1179 1178 1183 1345 1600 1848 1997 1765 1835 1805 1726 1277 1547 1580 1564 1768 1900 1811 1856 1803 1925 1840 1562 1457 1779 2128 2116 1798 1466 1431 1477 1407 1243 1114 1079 1209 1577 2258 3074 3329 3176 3073 2678 2252 2224 2499 2721 2779 2658 2477 2421 2537 2673 2608 2529 2763 2916 2889 2566 2001 1381 1186 1249 1493 1789 1840 1662 1700 1676 1749 1947 2180 2564 2774 2721 2584 2390 2124 1844 1611 1564 1600 1394 1197 1137 1042 829 754 790 583 461 363 548 834 968 957 999 1076 1066 1097 1292 1534 1680 1677 1604 1597 1681 1848 2077 2580 2892 2460 1734 1694 1896 2190 2556 3040 3304 3057 2682 2484 2401 2403 2600 3060 3398 3444 3354 3448 3946 4086 3543 2562 1651 1434 1643 2035 2446 2877 3148 3161 2997 2727 2507 2345 2150 2081 2102 1741 1576 1532 1481 1544 1535 1520 1407 1335 1276 1291 1356 1388 1345 1258 1178 1145 1182 1221 1613 1781 1658 1120 932 1478 1854 1939 1561 1438 1656 1650 1356 1098 951 894 802 775 1062 1420 1651 1750 1884 2148 2488 2868 3225 3373 3131 2583 2083 1917 2114 2475 2904 3040 2564 1916 1694 1741 1989 2264 2382 2476 2511 2476 2422 2329 2242 2190 2113 1994
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7 8 10 11 11 10 8 8 8 7 6 6 5 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 18 21 23 26 29 32 33 33 31 29 26 22 16 16 19 23 27 33 36 43 45 41 36 33 31 30 29 27 28 29 28 25 20 16 13 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 11 16 18 19 20 25 24 19 16 17 19 8 2 2 6 20 58 149 252 316 357 399 445 466 555 648 776 972 1188 1340 1339 1501 1670 1758 1685 1368 1287 1306 1353 1409 1492 1519 1591 1575 1529 1460 1318 1172 1067 974 887 820 789 761 734 723 708 692 689 704 721 723 697 674 672 669 664 703 771 848 960 1155 1407 1672 1894 2086 2227 2262 2262 2264 2258 2263 2282 2276 2291 2309 2355 2415 2432 2315 1997 1567 1217 1044 976 982 1043 1185 1365 1520 1604 1616 1656 1675 1663 1616 1582
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