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 15 10 8 8 8 10 10 11 12 12 10 8 7 7 8 8 7 6 4 4 5 5 4 2 2 5 8 10 8 5 3 4 6 7 7 5 4 3 4 6 7 8 8 7 7 7 9 9 8 7 7 8 10 10 8 4 1 3 6 9 9 8 8 9 10 11 9 4 -0 1 5 3 -3 -6 -3 2 5 5 5 9 15 16 13 11 11 12 13 14 13 10 8 5 4 3 3 3 6 10 13 13 9 7 8 10 10 8 8 7 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 3 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 6 5 5 5 4 4 4 4 4 4 4 3 3 3 2 2 1 1 1 1 1 2 nan
nan 10 7 7 8 9 11 11 12 12 11 9 7 7 8 9 9 7 6 5 6 6 5 4 4 6 10 12 12 9 5 1 1 4 7 10 10 7 5 4 5 6 6 6 5 4 5 6 7 7 6 6 8 11 12 10 7 5 7 10 11 11 11 11 11 11 10 7 4 2 4 3 -1 -4 -5 -4 -2 1 5 9 14 17 17 14 12 13 13 14 13 11 8 6 4 4 3 2 2 4 8 12 12 9 8 11 14 12 8 7 7 5 4 4 4 4 3 3 3 3 4 4 4 3 3 3 3 3 4 4 4 3 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 3 3 4 4 5 5 4 4 4 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 nan
nan 7 7 7 8 10 11 12 12 12 11 9 8 7 8 9 8 7 5 5 6 6 6 5 6 8 13 15 15 11 6 3 1 2 7 11 12 9 6 5 5 5 5 5 3 3 4 5 6 6 6 8 11 15 17 15 10 8 8 10 10 11 11 11 9 7 6 6 6 7 7 4 -0 -3 -3 -4 -5 -1 6 13 15 14 12 12 12 13 13 13 12 9 7 6 5 4 3 1 1 3 7 10 10 8 9 15 18 15 9 6 6 6 5 4 4 3 4 4 3 3 4 4 4 4 3 3 3 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 5 5 5 4 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 2 2 2 2 2 3 4 4 5 5 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 4 nan
nan 6 6 6 8 11 12 12 12 11 10 9 9 7 6 7 8 6 5 4 5 6 6 5 6 8 10 12 12 11 8 4 2 3 7 10 11 9 8 6 6 6 5 4 3 3 4 5 5 6 8 11 14 16 17 14 10 7 7 8 8 9 10 9 7 5 3 4 7 9 10 8 5 2 1 -1 -2 1 7 12 12 8 7 8 10 12 13 12 10 8 7 7 6 4 2 0 1 4 7 9 8 6 9 16 21 18 11 7 7 7 6 5 4 4 4 4 4 3 3 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 2 2 3 4 5 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 2 2 2 2 3 3 4 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 nan
nan 7 5 6 8 11 13 13 12 9 8 9 8 6 5 7 9 8 6 5 5 5 4 5 5 5 5 4 6 9 9 6 4 4 6 7 8 8 8 7 7 6 6 4 3 4 5 5 5 6 9 12 13 13 11 9 8 7 7 7 7 7 8 8 6 4 2 3 6 9 11 11 10 9 8 6 5 6 8 9 7 5 4 6 9 11 12 11 9 8 7 7 6 4 2 1 3 5 8 8 6 4 7 15 21 20 14 10 9 8 7 6 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 3 3 5 6 6 5 5 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 3 3 2 2 2 3 4 4 4 4 4 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 10 8 7 8 9 12 13 11 8 6 7 7 5 5 7 9 9 8 6 5 3 3 3 4 3 1 0 3 8 10 7 5 5 5 5 5 6 7 7 7 6 6 4 3 3 5 6 6 7 9 10 9 7 6 6 8 9 9 7 7 6 6 5 4 3 3 3 4 7 9 11 12 12 12 10 9 8 7 6 6 6 7 7 8 10 10 9 8 8 8 8 7 5 3 3 4 6 8 8 4 2 5 14 20 20 15 11 9 8 7 6 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 4 5 6 5 5 4 4 4 3 3 3 2 3 3 3 4 4 5 5 5 5 5 4 4 3 2 2 3 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 14 10 9 8 8 10 12 11 7 6 6 7 7 7 9 10 10 9 8 6 3 3 3 3 2 2 2 5 8 9 8 6 5 4 3 4 5 6 6 6 6 6 4 3 3 4 6 7 8 8 9 7 6 5 7 11 12 10 7 6 5 4 4 4 4 4 3 3 5 8 11 12 12 12 11 9 7 5 4 6 10 11 10 8 9 9 9 8 8 8 9 8 7 5 4 5 7 8 7 3 1 5 13 18 17 14 11 9 8 7 6 5 3 3 3 3 3 4 4 3 3 4 4 5 5 4 4 4 4 4 4 4 4 3 3 3 3 2 2 3 4 5 6 6 5 5 5 4 3 3 2 2 3 3 4 4 5 5 6 6 6 6 5 5 4 3 3 3 4 4 3 3 3 3 3 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 14 12 11 10 8 8 9 8 7 7 7 8 9 9 9 9 9 9 8 7 4 3 4 4 3 2 4 7 8 8 8 7 6 4 3 3 4 5 6 7 7 6 5 4 3 4 6 7 8 8 8 6 5 5 9 13 14 12 8 6 5 4 4 5 5 4 3 3 4 7 11 12 11 9 7 5 4 3 4 7 12 13 12 9 8 8 8 9 9 9 10 9 7 5 4 5 7 8 6 3 3 7 13 16 14 11 9 8 7 7 6 5 4 3 3 3 3 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 4 5 5 6 5 5 4 4 3 2 2 3 3 4 5 5 6 6 6 6 7 6 6 5 4 4 4 4 4 3 3 3 3 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 nan
nan 12 13 15 14 10 7 7 6 6 7 8 8 8 8 7 8 8 8 8 6 3 4 7 8 4 2 2 4 4 6 7 8 7 5 4 4 4 5 6 7 7 7 6 5 5 5 6 8 8 8 7 5 3 3 7 12 14 13 10 9 7 5 4 4 4 3 3 3 5 7 10 11 10 6 3 0 0 3 6 9 12 13 12 10 8 8 8 9 10 10 10 9 7 5 4 4 6 8 6 4 6 12 15 13 11 9 8 7 6 6 7 7 6 5 4 3 4 4 4 4 4 4 5 5 5 5 4 4 4 4 5 4 4 4 3 3 3 3 2 2 3 4 5 5 6 6 5 5 4 3 2 2 2 3 4 5 5 5 5 6 6 6 7 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 nan
nan 11 13 16 16 13 9 7 6 6 8 8 8 6 5 5 5 6 6 5 3 2 4 9 10 6 1 -1 1 2 4 7 8 8 6 5 5 5 5 6 6 7 7 7 6 5 5 6 8 10 10 8 5 2 2 4 9 11 11 10 11 10 5 1 1 2 3 4 5 6 8 9 9 8 5 2 0 1 5 8 10 12 13 12 10 8 8 8 10 10 10 9 8 7 5 4 4 6 8 6 5 10 16 15 11 8 7 7 6 5 6 7 8 7 6 5 4 4 4 3 4 4 4 5 5 5 5 4 4 4 5 5 5 4 4 3 3 3 3 3 2 2 3 4 5 5 6 6 5 4 3 3 2 3 3 4 4 4 5 5 5 6 7 7 7 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan
nan 11 13 15 15 12 10 9 8 9 9 9 6 3 2 2 3 3 3 2 1 0 3 9 11 7 1 -1 0 2 4 7 8 8 7 6 5 5 4 4 6 7 9 9 8 6 5 6 9 12 11 9 7 4 2 3 6 8 8 9 12 12 5 -1 -2 1 4 5 6 7 7 7 7 6 5 4 3 5 8 10 11 12 12 12 10 8 8 9 10 10 9 8 7 6 5 4 4 6 7 6 7 13 18 15 10 7 6 6 5 5 5 6 7 7 7 5 4 4 4 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 4 3 3 3 3 3 3 2 3 4 5 5 6 6 5 5 4 3 3 3 3 4 4 4 4 5 5 6 7 7 8 8 9 8 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 nan
nan 10 12 13 11 9 9 9 9 10 10 8 4 1 1 2 2 2 1 1 1 1 4 8 10 8 3 1 1 3 5 7 8 8 7 5 4 4 3 4 5 8 10 11 11 9 7 7 10 13 12 10 9 6 3 3 4 5 6 6 10 12 8 1 -1 2 4 5 5 6 6 6 5 5 5 4 5 8 10 11 11 11 12 12 10 8 8 9 10 9 8 7 7 6 4 4 5 6 7 7 9 15 17 13 9 7 6 5 5 5 5 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 4 4 3 3 3 3 3 3 3 3 4 5 5 6 5 5 4 4 4 4 4 4 4 4 5 5 6 7 8 9 10 11 11 10 7 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 nan
nan 9 11 11 9 7 7 7 7 7 8 8 6 5 4 4 3 3 2 2 2 3 5 9 10 8 4 2 2 3 5 6 7 7 7 5 4 3 3 3 5 8 11 12 12 11 10 9 10 11 12 11 10 7 4 3 3 3 2 2 5 10 12 9 6 6 7 6 5 5 5 5 5 6 6 4 4 8 10 10 10 12 12 11 9 8 7 8 9 8 7 7 6 5 4 4 4 5 6 8 11 15 16 12 8 6 6 6 5 5 5 6 5 5 6 6 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 4 4 4 4 5 6 7 9 11 14 16 19 19 17 13 9 6 4 4 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 10 10 10 9 8 7 6 5 5 7 9 10 10 8 6 4 4 4 4 4 4 6 9 11 8 4 1 2 3 4 4 5 7 7 6 5 3 2 2 4 6 8 9 10 10 9 8 8 8 10 11 11 8 5 3 2 1 -1 -1 2 8 13 14 12 11 10 8 6 5 5 5 5 6 6 4 3 6 9 10 11 12 12 11 9 7 7 8 8 7 7 7 6 5 5 3 3 3 5 8 12 15 15 12 8 7 6 6 6 5 6 6 5 5 5 6 5 4 4 4 5 5 5 5 5 5 5 4 3 4 4 4 5 5 4 4 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 8 10 13 18 24 31 36 35 27 17 10 6 4 4 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 9 9 9 8 8 7 6 5 7 10 12 11 9 6 5 5 5 5 5 4 6 9 11 9 4 1 2 3 2 3 4 5 7 7 6 4 2 2 3 5 5 5 5 5 5 5 5 6 8 11 12 9 6 4 2 -0 -2 -1 3 8 11 12 11 11 11 10 9 8 7 5 4 4 5 5 5 7 10 10 11 12 12 11 9 7 7 8 7 7 7 6 6 6 5 3 2 2 5 8 12 15 15 13 9 7 7 7 6 5 5 6 5 5 5 6 5 5 4 4 5 5 6 6 6 6 5 4 3 3 4 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 5 7 10 13 18 24 34 45 52 47 33 19 11 6 4 3 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 8 8 9 8 8 7 6 6 8 10 11 10 7 6 6 6 6 6 6 5 5 8 10 9 5 3 3 3 2 2 3 4 7 8 8 5 3 2 3 3 3 3 2 2 2 3 4 5 7 11 12 11 8 6 3 0 -0 2 6 9 9 7 7 7 8 10 11 11 8 5 3 3 5 7 9 11 12 12 11 11 11 10 8 7 7 7 7 6 6 5 6 6 5 4 2 2 4 8 12 14 15 15 11 8 7 7 6 5 4 5 5 4 5 6 6 5 5 6 6 6 7 6 6 6 5 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 5 8 12 16 20 26 36 48 53 46 30 17 10 6 4 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 nan
nan 9 8 8 8 7 7 6 6 6 8 10 10 8 6 5 6 6 6 7 7 6 5 5 7 7 6 5 5 5 4 3 3 5 7 9 8 6 4 2 3 3 3 3 3 3 3 3 3 5 7 10 12 11 10 7 4 1 1 4 8 9 7 4 3 3 5 8 11 12 10 8 6 6 7 10 13 14 13 12 11 10 9 8 7 7 7 7 7 6 5 5 5 5 6 5 3 2 4 9 12 12 14 16 13 9 7 6 5 4 3 3 4 4 4 5 5 6 7 7 8 8 7 7 6 6 5 4 3 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 4 4 5 9 13 17 20 23 30 38 39 32 22 13 8 6 4 3 3 2 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 4 4 4 4 4 5 5 5 5 5 5 5 5 5 nan
nan 9 8 7 7 7 7 6 5 5 6 8 8 7 5 5 6 7 6 7 8 7 5 4 4 5 6 6 7 7 6 6 6 8 9 9 8 6 4 3 3 3 4 4 5 5 5 4 4 5 6 8 10 11 10 8 5 2 2 4 7 8 6 4 2 2 5 8 9 10 10 10 10 11 12 13 14 14 13 10 9 8 8 7 7 7 7 7 7 6 5 5 5 5 6 6 5 4 5 8 10 11 13 15 14 10 7 6 4 3 3 3 3 3 3 3 3 4 6 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 5 5 5 4 4 4 3 4 5 8 12 15 17 18 21 23 22 18 13 9 6 5 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 nan
nan 9 8 6 6 6 7 7 6 5 4 4 4 4 5 6 7 7 5 6 7 7 6 4 4 4 5 6 7 7 8 9 11 12 12 11 9 7 5 3 3 3 4 5 6 6 6 6 6 5 6 9 12 14 12 9 6 4 3 4 6 6 5 4 4 5 7 8 7 7 9 11 14 14 14 14 13 12 10 9 8 7 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 5 6 7 8 9 11 14 14 11 8 6 5 4 4 4 4 4 3 2 1 2 3 4 5 6 6 7 7 7 6 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 4 4 4 3 3 4 7 10 12 14 14 14 13 11 9 7 6 5 4 4 4 3 3 2 2 2 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 5 nan
nan 9 9 8 6 6 7 7 6 5 3 2 1 2 4 6 7 6 5 5 7 7 7 6 6 7 7 7 6 6 8 11 13 14 14 12 10 8 6 4 3 3 3 4 5 6 6 6 6 6 7 11 16 17 13 10 8 6 5 5 5 5 4 5 6 9 10 8 6 5 7 11 14 14 13 11 9 8 8 7 7 8 8 9 9 8 8 7 7 6 6 6 5 5 5 6 6 7 6 6 7 9 11 14 14 11 8 6 6 6 7 7 7 6 5 3 1 2 2 2 2 3 5 6 7 7 6 5 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 2 3 5 7 9 11 11 11 10 7 6 5 4 4 4 4 4 4 3 3 2 2 3 3 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 nan
nan 8 9 10 9 7 7 6 6 5 4 3 2 3 5 7 7 6 5 5 6 7 7 7 8 9 9 7 6 6 9 12 13 14 13 12 11 9 8 6 5 4 3 4 5 6 6 6 6 7 9 13 17 16 13 11 10 9 7 6 4 3 3 5 7 9 8 6 5 6 9 11 13 12 9 7 6 6 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 6 5 5 6 6 7 6 7 9 11 13 13 10 8 7 7 8 10 11 11 10 8 6 5 5 4 3 3 2 3 4 6 7 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 3 3 2 2 3 4 5 6 8 9 10 10 9 7 6 5 4 3 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 5 nan
nan 7 8 10 10 9 7 6 5 4 4 3 4 5 6 6 6 6 6 6 6 7 7 7 8 8 9 8 9 10 11 12 12 12 12 12 11 9 8 7 6 5 5 5 6 7 7 6 6 7 10 13 13 11 10 10 10 10 9 6 4 2 1 2 3 4 4 3 5 9 12 13 11 9 6 5 5 5 6 8 9 10 9 8 7 7 8 8 9 8 8 8 8 7 6 5 5 6 6 7 7 9 11 12 11 9 8 7 7 9 12 13 13 13 11 10 9 9 9 7 6 4 4 4 5 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 5 5 4 4 3 3 2 2 2 3 4 5 6 7 9 10 11 10 10 9 7 5 4 4 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 nan
nan 5 6 9 10 10 9 6 4 3 3 4 5 5 6 6 6 5 5 5 6 7 7 7 7 7 8 10 12 14 14 13 12 12 12 11 9 7 6 6 7 7 7 7 8 8 7 6 6 8 10 11 9 7 7 8 9 10 9 6 3 1 0 -0 0 1 2 3 8 13 15 13 10 7 5 4 4 6 7 9 10 10 8 6 6 7 8 9 9 9 9 9 9 9 7 6 6 6 6 7 8 9 10 10 10 9 8 7 8 9 11 13 13 12 11 11 11 11 11 10 9 7 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 3 3 2 2 3 3 4 5 6 7 9 11 12 13 13 12 10 8 7 6 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 nan
nan 5 6 8 11 11 9 6 4 3 3 5 6 7 8 7 6 4 4 4 5 6 6 6 5 5 6 9 12 14 14 14 14 13 12 10 7 5 4 5 6 7 7 7 7 7 7 7 7 8 9 8 7 6 6 7 8 8 7 4 2 1 2 2 3 4 4 6 10 14 14 11 8 5 4 4 5 7 8 9 10 9 8 6 6 7 9 10 10 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 7 7 8 10 10 11 11 10 10 9 9 10 10 10 9 8 8 7 7 6 6 5 5 5 5 6 6 6 6 6 5 5 4 4 4 5 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 3 3 4 5 5 5 7 9 11 13 14 15 14 12 10 7 6 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 6 6 8 11 10 8 6 5 4 5 6 7 9 9 8 5 4 3 4 4 5 5 5 4 4 6 8 11 13 13 14 14 14 12 8 5 3 3 4 5 5 5 4 4 4 6 7 8 9 8 7 6 7 7 7 7 6 5 3 1 1 3 4 5 5 6 8 11 13 12 9 6 4 4 4 6 7 9 9 9 9 8 6 6 7 9 10 10 9 9 9 9 9 9 10 9 8 7 7 8 8 8 8 9 8 7 7 9 10 9 8 9 9 8 8 8 8 9 8 8 8 8 8 7 7 6 6 5 5 6 6 6 6 6 6 6 5 5 4 5 5 5 4 4 4 4 4 5 5 5 4 4 4 4 3 3 3 4 4 5 5 5 5 7 9 11 13 14 14 12 10 7 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 6 6 nan
nan 6 6 7 9 9 7 5 5 6 7 8 8 10 10 8 5 3 3 3 4 4 4 4 4 5 6 8 10 11 11 13 14 13 9 6 4 3 3 4 4 3 3 2 2 3 5 7 9 10 9 7 8 9 9 8 6 4 3 2 2 2 3 3 2 2 5 9 12 12 10 7 5 4 4 5 7 8 8 8 8 9 9 8 6 7 9 10 10 9 9 9 9 9 9 10 10 9 8 8 7 7 7 8 9 8 7 7 8 9 9 8 8 9 8 7 7 8 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 4 4 5 4 3 2 2 3 4 4 4 5 5 5 7 8 9 10 10 9 8 6 5 4 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 6 5 6 7 7 6 4 5 8 10 10 9 9 8 6 4 3 3 3 3 4 4 4 5 6 8 9 9 8 9 11 12 10 7 4 4 4 5 5 5 4 3 2 3 3 5 6 9 10 10 9 10 12 11 8 6 4 4 3 3 3 3 2 1 3 6 9 11 11 9 7 6 5 6 7 8 9 8 8 8 10 11 10 7 6 7 9 9 9 9 9 9 9 9 9 10 9 9 7 7 7 7 7 8 8 8 7 8 8 9 10 10 10 9 8 8 9 11 11 9 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 5 5 5 4 4 4 4 4 4 5 5 5 5 5 3 2 2 3 3 3 3 4 4 5 6 6 7 7 7 6 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 6 5 6 7 7 5 4 6 10 13 12 10 7 4 3 3 4 4 3 3 3 4 5 7 8 8 10 9 6 7 10 11 8 5 4 4 5 7 7 6 5 3 3 3 4 5 6 8 9 10 12 13 13 11 9 7 7 6 4 3 4 4 4 5 6 8 9 10 9 8 7 6 7 7 9 9 9 9 8 9 12 14 14 9 5 5 6 8 8 9 9 9 9 9 9 10 9 8 7 7 6 7 7 8 8 8 8 8 8 9 11 12 11 9 9 9 10 12 12 11 10 9 8 8 7 7 7 7 6 5 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 4 4 4 4 5 5 6 6 5 3 2 2 2 3 2 2 3 4 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 6 6 7 7 7 6 6 8 12 14 12 9 5 3 2 4 5 5 4 3 3 4 6 8 9 9 9 7 6 7 10 10 8 6 5 6 7 8 8 6 5 3 2 3 4 5 6 7 8 10 13 14 12 9 8 8 8 7 5 4 5 6 7 7 8 8 9 8 8 7 7 7 7 9 10 10 10 10 10 11 13 16 16 11 6 4 4 5 7 8 9 9 9 9 9 9 9 8 7 7 6 7 7 7 8 8 8 8 8 10 11 11 9 9 9 10 11 12 12 11 10 8 7 8 8 8 7 7 6 6 6 6 6 6 6 6 6 8 9 9 9 7 6 5 5 5 5 5 5 5 7 8 7 5 3 2 2 3 3 2 2 2 4 6 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 7 7 7 nan
nan 6 7 8 8 8 7 7 9 11 11 9 6 4 3 3 4 5 6 5 4 3 4 6 7 8 7 6 6 6 8 10 10 9 7 7 9 10 9 8 6 4 2 2 3 4 5 6 5 5 8 13 13 9 6 5 6 6 6 5 6 6 7 7 7 7 8 8 8 8 7 7 7 8 10 11 11 11 10 11 11 13 16 16 13 9 6 4 4 5 7 8 9 9 9 8 8 8 8 8 7 7 7 6 6 7 9 9 8 7 8 9 9 8 8 8 9 10 11 11 11 9 7 6 7 9 9 8 6 6 7 7 7 7 7 6 7 8 9 10 10 9 8 6 6 5 5 5 6 6 6 8 9 8 6 4 3 3 3 3 3 2 2 4 5 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 4 4 3 2 2 2 2 3 3 3 4 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 nan
nan 7 8 8 9 8 8 7 7 7 6 5 4 5 5 4 4 6 8 7 5 4 3 5 6 6 6 6 7 7 8 10 10 9 9 10 11 11 10 7 4 3 2 2 3 5 6 5 3 2 7 13 13 8 4 2 1 2 5 6 6 6 6 6 6 6 7 8 9 8 8 8 9 10 12 12 12 11 10 10 11 12 14 14 13 11 8 5 5 5 6 8 8 9 8 8 7 8 8 8 8 7 6 6 6 7 9 9 8 7 6 7 7 7 8 8 8 8 10 11 11 10 8 7 7 8 8 7 5 5 7 7 7 7 6 6 7 10 11 10 10 9 7 6 5 6 6 7 8 8 8 10 10 9 6 4 3 3 4 4 3 3 2 3 4 5 6 6 6 5 4 4 5 5 5 6 5 4 4 4 4 5 5 5 5 4 4 3 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 6 6 6 7 7 7 8 8 9 9 nan
nan 6 7 8 8 8 7 6 5 4 3 3 5 7 7 6 6 8 10 9 6 4 3 4 6 6 7 7 8 7 7 7 8 9 10 12 13 11 9 5 3 2 2 2 3 5 6 5 3 3 8 15 14 8 3 0 -0 2 6 7 6 5 4 5 6 6 7 8 9 9 9 9 10 12 13 12 11 10 9 10 11 12 12 12 12 10 8 7 5 5 6 7 8 9 8 7 7 8 8 9 8 7 6 5 5 7 9 10 8 6 5 5 6 7 7 7 6 7 9 10 11 11 11 11 9 8 6 5 4 5 7 8 8 7 6 6 8 10 10 10 9 8 7 6 5 6 7 8 9 9 9 10 10 9 6 5 4 4 4 4 4 4 4 3 3 4 6 7 7 6 4 4 4 5 7 8 8 6 4 4 5 5 6 6 5 5 4 3 3 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 nan
nan 6 6 7 8 8 7 5 4 4 4 5 6 7 8 9 9 10 10 9 5 3 2 4 6 7 8 9 8 6 5 6 7 8 11 13 13 10 6 3 2 2 3 3 3 5 6 5 4 6 11 15 14 9 4 1 2 5 8 9 6 3 4 6 7 7 8 9 10 10 9 10 12 13 12 11 9 8 8 9 10 11 12 12 11 10 9 7 5 5 6 7 8 8 8 7 7 8 8 8 7 6 5 5 6 7 9 9 8 7 6 5 5 6 7 6 6 6 7 8 10 12 14 14 12 9 5 3 4 6 8 8 8 7 7 7 8 9 9 9 9 8 7 7 7 7 9 10 10 9 9 9 9 8 7 6 5 5 5 4 4 5 6 6 4 4 6 8 8 7 6 5 5 6 7 9 9 8 6 6 6 7 7 7 6 5 4 3 3 3 3 3 3 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 nan
nan 7 7 7 7 7 6 5 4 5 6 6 6 5 7 10 10 10 9 7 4 3 3 4 6 7 8 9 9 7 7 6 6 7 10 13 13 10 6 3 4 5 5 4 3 4 4 4 5 7 10 12 12 9 5 4 6 9 10 8 4 2 3 6 7 7 8 9 10 11 11 12 13 12 11 10 8 8 8 8 9 10 11 12 11 10 9 7 6 5 5 5 6 7 8 8 8 8 8 7 6 5 5 5 6 7 8 9 8 7 6 6 6 6 6 5 5 6 6 7 9 12 14 14 13 11 7 4 5 7 8 8 8 8 8 8 7 8 9 9 9 8 8 8 8 9 9 10 9 8 8 7 8 8 8 6 5 4 4 5 5 5 7 7 7 6 6 8 9 8 8 8 7 6 6 6 7 8 8 9 9 9 8 8 7 5 4 4 3 3 3 4 4 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 nan
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nan 8 7 6 5 5 5 4 4 5 7 9 11 12 12 12 11 10 10 11 11 11 11 12 12 14 17 19 20 19 15 7 1 -0 2 8 10 10 8 8 9 12 16 17 16 14 11 8 6 6 6 7 7 8 10 11 11 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 10 11 12 12 12 12 11 9 7 6 8 10 11 11 11 10 9 9 9 9 10 12 12 12 11 11 11 10 9 7 6 6 7 7 8 9 10 10 10 10 10 9 9 9 10 11 12 13 12 11 10 10 10 10 9 8 8 9 9 9 10 10 10 9 8 9 8 8 10 11 10 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 6 5 5 5 6 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 10 9 8 7 6 6 7 7 7 nan
nan 8 7 5 4 4 3 3 3 5 6 7 7 8 10 11 10 9 8 8 7 8 9 11 13 15 18 20 22 22 19 13 6 1 2 6 10 11 11 11 11 12 15 17 18 16 14 11 8 7 6 6 6 7 8 9 10 10 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 10 12 12 12 11 11 10 8 6 6 8 10 11 10 9 8 8 8 8 9 10 12 12 11 11 11 10 9 7 6 6 6 7 8 9 10 10 11 11 11 10 10 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 9 8 8 7 6 6 7 7 8 8 7 7 7 7 7 8 8 7 6 5 5 6 7 8 9 8 7 7 7 8 8 9 9 8 8 8 7 7 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 nan
nan 9 7 4 2 1 2 4 5 7 7 6 5 7 9 10 9 7 5 4 5 6 8 10 13 16 19 22 23 22 20 15 7 2 2 5 7 9 11 12 11 11 12 13 15 15 14 13 11 10 9 8 8 7 8 8 8 9 9 10 11 12 11 11 10 10 9 9 9 9 9 9 8 8 7 7 7 8 9 10 11 11 10 9 8 7 6 5 6 8 10 10 9 8 7 7 7 7 8 9 10 10 10 10 10 10 8 7 6 6 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 11 10 10 9 9 8 8 8 7 6 6 6 7 6 6 7 7 8 8 7 7 7 7 7 8 8 8 7 6 5 4 5 7 8 9 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 9 9 10 10 10 10 9 8 8 8 nan
nan 8 5 2 1 1 3 5 7 8 7 6 5 6 8 8 7 5 4 3 5 5 6 7 9 12 17 21 22 21 18 11 4 2 2 3 3 4 6 8 10 10 10 10 11 12 13 13 13 12 12 11 10 9 9 8 8 8 9 9 10 11 11 11 10 10 9 9 10 10 9 9 8 8 7 8 8 8 8 8 8 8 7 6 6 5 5 5 7 9 10 10 8 7 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 6 6 6 7 9 10 10 11 11 10 10 10 9 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 9 8 8 7 7 7 7 6 6 5 5 6 6 7 7 8 8 8 7 7 7 7 7 7 7 8 7 7 5 5 5 7 8 9 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 8 9 10 11 11 9 8 7 7 nan
nan 6 3 1 0 1 2 5 7 7 7 5 5 5 5 6 7 6 6 6 6 5 4 4 4 7 12 17 19 18 14 7 2 2 4 4 3 2 2 4 6 8 9 10 10 11 12 12 13 14 14 14 13 12 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 6 7 10 11 10 8 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 9 10 10 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 9 9 8 7 7 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 7 7 7 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 11 11 11 8 6 5 6 nan
nan 3 2 2 2 2 2 4 6 7 7 5 4 3 3 5 7 9 9 8 8 6 5 4 4 5 8 12 13 12 8 3 1 3 6 8 9 8 6 3 3 5 7 9 10 11 12 12 13 14 15 15 15 14 12 11 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 9 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 7 6 6 6 8 9 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 6 6 6 6 8 8 8 7 6 6 6 7 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 10 11 11 11 10 9 7 6 6 nan
nan 1 2 3 4 4 3 3 5 7 8 7 6 4 4 5 7 9 9 8 7 9 10 11 11 10 10 10 10 6 2 0 1 4 8 12 17 18 15 10 6 5 6 8 11 12 13 13 13 14 15 16 17 16 14 12 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 9 10 9 7 6 6 6 6 6 6 6 6 7 8 8 8 9 9 9 7 6 6 7 8 9 10 11 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 5 6 6 6 6 5 6 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 8 9 9 10 10 9 9 9 10 10 9 8 9 9 10 10 9 10 10 11 11 10 10 10 10 9 8 9 nan
nan 2 3 6 8 7 5 3 4 6 8 9 9 8 7 7 8 9 8 7 8 11 13 16 17 17 16 13 10 4 1 1 2 5 9 14 21 25 24 19 13 10 9 9 11 13 14 14 15 15 16 18 18 18 17 15 14 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 9 10 9 8 7 6 6 6 6 7 7 7 8 9 9 9 9 9 9 7 6 6 7 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 10 9 9 9 10 11 10 10 10 10 10 9 9 10 10 9 9 10 nan
nan 6 7 9 10 9 6 4 2 2 4 8 10 11 10 9 10 10 10 9 11 13 14 16 18 19 19 15 10 4 3 3 4 4 6 11 19 24 26 24 19 15 12 11 11 13 15 16 16 17 18 20 20 20 19 18 16 15 13 12 11 11 11 11 10 10 9 9 9 9 9 10 9 8 7 7 6 6 6 6 6 7 7 7 8 8 7 7 7 9 10 9 8 7 6 5 6 7 8 7 7 8 9 9 9 9 9 8 7 6 6 7 8 9 9 9 9 9 9 9 8 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 8 8 7 7 7 8 9 10 10 11 11 11 10 9 9 9 9 9 8 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 10 11 11 11 11 9 8 7 8 9 10 9 9 9 10 nan
nan 12 11 12 11 10 7 5 3 2 1 4 6 8 8 8 8 10 11 12 13 14 14 15 16 16 16 13 8 5 6 6 6 4 2 5 11 16 19 20 18 16 14 13 13 14 16 18 18 19 19 20 20 20 20 19 18 17 15 14 13 12 11 11 10 10 9 8 8 9 9 10 9 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 7 6 5 6 7 7 7 7 8 8 9 9 8 8 7 7 6 6 6 7 8 8 9 9 9 9 8 8 7 6 6 5 6 7 7 7 7 8 8 8 9 10 10 9 8 8 9 9 8 8 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 10 8 7 7 8 10 10 9 8 8 9 nan
nan 13 14 14 12 8 6 6 7 5 3 2 3 2 1 -0 -0 2 4 7 9 11 12 14 14 14 13 11 9 9 11 11 9 5 0 -2 1 5 9 12 14 14 14 14 15 17 19 19 19 18 18 18 18 17 17 18 17 17 16 15 13 12 11 10 9 9 8 8 8 8 9 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 6 5 6 6 6 6 6 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 8 8 8 9 10 11 10 9 8 8 9 9 8 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 7 8 9 10 10 10 9 9 10 nan
nan 10 14 14 11 6 5 7 9 10 8 5 3 -1 -4 -6 -7 -6 -5 -3 -0 4 8 12 14 13 12 12 13 14 15 15 12 8 2 -3 -4 -1 2 6 9 12 13 14 15 17 19 19 18 16 15 14 13 13 13 15 16 16 15 14 12 11 10 9 8 8 8 8 8 8 9 9 9 8 7 5 5 5 6 7 7 8 8 8 9 9 9 8 8 9 9 9 9 7 6 5 5 5 6 6 7 8 8 8 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 7 7 6 6 6 7 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 9 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 nan
nan 9 11 10 7 4 5 8 11 12 12 10 7 2 -1 -3 -3 -4 -5 -5 -3 1 5 9 10 11 11 12 13 15 15 14 13 10 7 3 1 1 1 3 5 8 11 12 14 16 17 18 17 15 13 11 10 10 11 13 15 15 14 12 11 10 9 8 8 8 8 8 8 8 8 9 9 8 7 6 5 5 6 6 7 8 8 9 9 9 9 8 8 8 8 8 8 7 6 6 5 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 6 7 8 8 8 8 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 10 9 8 8 8 8 9 10 10 10 10 9 9 10 10 10 9 nan
nan 11 8 4 3 4 8 12 14 16 16 15 12 9 7 6 6 5 4 3 3 4 5 7 7 9 11 12 11 11 10 9 8 9 9 10 10 9 6 4 3 5 8 10 11 13 15 16 15 13 12 10 10 10 12 13 14 14 13 11 10 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 9 9 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 8 8 9 10 10 10 10 9 8 9 10 10 9 nan
nan 11 6 3 4 7 11 14 16 17 17 16 15 13 12 12 12 13 12 10 8 7 7 7 8 10 12 11 10 8 6 6 5 6 8 11 15 15 12 7 4 4 6 8 10 11 13 14 13 12 11 11 11 12 13 13 13 13 12 11 9 8 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 8 7 7 7 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 9 10 10 9 8 8 9 9 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 9 9 nan
nan 9 6 7 10 12 12 11 12 12 12 12 12 11 10 12 13 14 14 11 8 6 6 7 9 11 12 12 11 9 8 8 8 6 6 10 15 17 15 10 6 5 6 8 9 10 11 12 12 12 12 12 12 13 14 13 13 12 11 10 9 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 8 8 7 6 6 6 7 8 9 10 10 10 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 10 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 10 10 10 9 10 11 10 9 8 7 7 7 7 8 9 nan
nan 6 7 12 17 17 13 8 4 4 6 7 6 6 6 8 11 12 12 10 7 5 5 6 8 10 12 13 12 11 10 10 10 8 7 9 13 15 14 11 8 7 7 8 9 9 10 11 11 12 12 12 12 13 13 13 12 11 10 9 8 7 7 7 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 9 9 8 8 7 7 6 6 7 9 10 10 11 11 10 10 10 9 8 7 6 6 6 6 6 6 7 8 8 8 9 8 8 7 7 7 7 6 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 10 10 10 10 10 11 10 9 7 6 5 6 8 8 8 nan
nan 1 3 10 17 17 13 6 1 -1 2 4 4 4 4 6 8 11 12 11 9 8 7 8 8 9 10 12 12 11 10 9 10 9 9 9 11 12 12 10 8 8 8 9 9 9 10 10 11 12 12 12 12 12 12 12 11 10 9 8 7 7 7 7 8 8 9 10 10 10 9 9 9 8 8 7 7 8 8 8 7 6 7 8 9 9 9 10 10 9 8 8 9 9 8 8 7 8 9 10 11 11 11 11 11 10 9 8 8 7 6 6 5 5 6 7 7 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 9 9 9 9 9 10 11 10 9 8 6 7 8 8 8 9 nan
nan -3 -4 1 9 12 9 5 1 0 2 5 6 5 5 5 7 9 10 11 11 11 11 11 10 10 9 10 12 12 10 9 9 10 10 11 11 11 10 9 8 8 8 9 9 10 10 10 11 11 12 12 11 11 11 11 10 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 7 7 7 7 8 7 7 7 7 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 9 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 8 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 nan
nan -2 -4 -3 2 6 6 4 2 2 3 6 8 8 7 6 6 6 7 7 9 10 11 11 11 10 10 12 14 14 12 11 11 12 12 13 12 11 9 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 10 9 9 10 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 8 8 9 9 10 11 11 11 10 10 9 9 10 10 10 9 8 7 7 8 9 9 9 9 9 9 9 9 8 8 9 9 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 10 nan
nan 5 2 1 3 6 6 5 3 2 3 5 7 9 9 9 8 6 5 5 6 7 8 8 9 11 12 15 15 14 13 13 13 14 14 14 12 10 8 8 8 8 9 10 11 12 12 11 10 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 9 8 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 7 7 8 8 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 9 8 7 7 7 8 9 9 10 10 9 9 8 8 9 10 nan
nan 9 7 6 6 8 8 5 2 2 2 3 4 6 8 9 11 9 6 5 5 5 6 6 8 11 13 15 15 13 13 14 15 16 16 15 12 8 6 6 7 8 9 11 12 13 13 11 10 9 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 7 7 8 9 9 9 10 10 9 9 8 7 7 9 10 nan
nan 8 8 8 10 12 10 6 3 1 1 1 2 4 5 7 9 9 6 5 4 4 5 5 7 9 12 14 13 13 14 16 18 19 18 15 11 7 5 5 5 7 9 11 13 14 14 12 10 9 9 8 8 9 9 10 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 10 10 10 11 10 10 9 9 8 8 8 9 9 nan
nan 6 8 11 14 15 13 8 4 3 2 1 2 4 5 6 8 9 8 6 6 5 5 5 5 6 8 10 12 14 16 18 21 22 21 16 11 7 5 4 5 6 9 11 12 14 14 13 11 10 10 9 8 8 9 9 10 10 11 11 12 12 11 10 10 10 9 9 8 8 8 8 9 9 8 7 6 7 8 10 9 8 8 8 9 10 11 12 11 11 10 10 10 10 10 10 9 10 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 9 9 9 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1972 1843 1436 942 643 488 268 108 13 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 9 30 49 43 17 13 24 37 45 52 61 66 73 117 227 383 531 662 830 1050 1268 1442 1623 1865 2068 2038 1797 1679 1774 1888 1923 1874 1718 1461 1181 1071 1227 1428 1346 1178 1195 1396 1451 1251 1019 870 733 588 528 575 598 670 545 352 282 228 178 142 121 107 89 68 49 40 32 19 8 6 11 18 20 19 17 16 17 19 20 22 24 28 30 29 28 31 34 36 38 34 28 22 20 20 20 20 20 17 15 16 14 12 12 10 9 10 10 11 11 11 11 9 7 6 6 6 5 5 7 13 23 38 52 61 68 83 105 122 129 127 122 119 101 98 110 120 117 100 77 54 39
1696 1250 984 840 664 476 270 93 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 7 40 72 65 37 15 13 23 39 53 54 53 60 91 176 310 455 583 707 865 1052 1216 1333 1459 1694 1981 2053 1788 1466 1350 1422 1611 1768 1778 1660 1431 1225 1282 1421 1305 1224 1311 1381 1396 1318 1137 940 783 702 709 686 664 661 540 380 324 261 195 149 122 103 83 61 47 40 31 20 15 10 15 20 21 20 17 16 17 19 22 25 30 34 37 37 38 42 46 49 51 46 37 28 23 22 22 22 21 19 20 21 21 17 14 12 10 9 9 9 9 8 7 6 6 6 5 6 6 6 8 13 19 24 26 32 42 55 72 93 109 111 100 97 86 75 68 60 48 34 23 18 15
1226 1057 932 753 568 378 193 57 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 15 7 2 0 0 0 7 36 69 79 58 27 10 7 17 37 48 48 54 79 147 269 413 537 632 733 866 1006 1116 1187 1280 1521 1850 2035 1908 1647 1465 1328 1411 1663 1828 1806 1563 1235 1181 1300 1196 1296 1372 1390 1411 1363 1221 1006 801 685 656 673 674 666 561 405 319 257 201 157 129 108 86 64 48 41 32 21 16 11 19 22 23 22 19 18 19 22 27 33 39 43 47 50 52 53 57 56 52 48 42 36 32 28 25 25 24 23 24 25 21 18 16 14 10 8 6 5 4 4 4 4 4 3 3 4 4 3 4 7 10 12 14 16 19 26 39 62 76 77 69 67 60 48 38 30 17 3 1 2 0
1028 967 851 714 487 258 98 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 54 84 71 34 11 2 0 0 10 35 53 51 34 14 5 11 26 39 43 48 72 129 242 380 505 593 661 740 839 935 1000 1041 1132 1380 1696 1967 2056 2006 1853 1546 1391 1481 1661 1713 1407 1026 983 1100 1111 1328 1380 1286 1357 1399 1280 1057 834 674 620 681 731 691 586 447 346 266 211 166 138 115 91 67 49 42 34 22 18 14 19 23 23 24 23 23 26 32 39 43 46 48 51 57 61 60 68 74 69 61 55 51 46 37 29 31 31 29 27 28 25 23 19 15 10 6 3 2 1 2 2 1 0 0 1 2 2 1 2 3 3 2 1 2 9 15 22 26 35 36 31 28 22 16 11 7 2 0 0 0 0
965 869 727 523 285 110 24 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 28 70 118 140 116 65 24 6 1 0 4 23 40 37 20 8 13 31 46 48 49 60 110 217 358 469 551 602 654 717 787 856 898 937 1062 1284 1545 1797 2013 2167 2205 1978 1687 1525 1579 1677 1469 1156 1096 1173 1241 1450 1518 1488 1563 1528 1301 1053 860 712 698 812 818 716 621 492 400 305 239 190 152 128 106 78 55 43 32 23 18 17 20 23 25 26 27 30 35 40 45 47 48 49 53 62 65 67 77 87 87 86 85 80 67 55 48 42 38 33 32 34 29 26 20 15 11 8 5 2 1 0 0 0 0 0 0 1 1 1 2 3 3 2 1 1 2 7 12 12 13 13 9 5 3 2 1 1 0 0 0 0 0
831 638 460 274 95 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 29 59 102 139 150 141 124 82 33 15 9 6 14 31 38 31 20 19 35 56 64 61 64 74 144 321 467 543 583 608 637 673 719 774 823 897 1039 1208 1408 1564 1815 2108 2312 2307 2158 2012 2028 2131 2063 1870 1717 1617 1579 1689 1681 1634 1691 1516 1150 891 761 799 1005 996 920 748 638 504 437 357 288 228 179 145 118 90 69 52 36 25 19 20 22 23 24 25 27 33 39 42 45 47 52 55 66 72 71 76 84 93 99 108 115 108 88 68 58 53 46 39 33 37 32 25 16 9 6 6 5 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 2 2 1 3 4 2 0 0 0 0 0 0 0 0 0 0
614 404 218 85 14 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 3 14 42 89 127 144 153 167 180 160 91 39 29 35 38 42 41 38 32 29 34 53 66 66 73 71 88 171 400 542 605 628 635 637 649 676 717 783 890 1010 1145 1295 1401 1642 1974 2269 2442 2473 2443 2455 2484 2422 2261 2028 1814 1676 1704 1727 1630 1538 1275 915 741 700 743 997 1188 1000 795 634 560 489 404 336 267 202 150 117 100 85 63 43 29 21 20 21 21 23 24 25 30 35 37 41 49 63 74 81 79 81 87 94 101 110 119 129 130 108 84 76 63 60 57 52 47 35 24 15 10 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
410 148 33 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 35 76 122 126 102 92 123 161 147 91 50 42 50 50 49 43 42 45 48 56 69 77 74 69 69 102 211 427 570 639 658 661 659 666 687 722 789 904 1029 1152 1259 1357 1565 1867 2152 2378 2483 2480 2448 2396 2259 2038 1786 1544 1373 1316 1328 1289 1281 1118 849 746 704 748 1064 1244 1098 900 693 591 514 423 355 289 223 166 129 112 97 75 52 34 22 22 20 18 22 23 22 25 31 36 44 56 76 91 90 86 90 94 101 111 129 141 147 145 123 100 84 73 72 68 60 43 29 21 15 10 7 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0
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