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 17 14 11 10 9 8 8 8 8 8 8 9 10 10 8 6 7 11 15 14 9 3 1 2 3 4 6 7 6 7 11 14 13 10 6 5 5 7 7 8 7 6 5 7 7 6 4 3 3 4 5 5 5 5 5 5 6 6 5 4 3 3 3 4 6 7 7 7 9 13 17 21 26 30 32 28 23 17 12 9 7 7 6 6 8 10 10 10 9 8 7 7 8 8 8 9 9 8 7 5 4 4 5 5 5 6 6 6 5 5 6 6 6 6 7 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 5 5 6 6 6 5 5 4 3 2 2 2 2 3 3 4 4 5 5 6 5 5 4 4 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 5 5 5 6 6 5 4 4 4 4 4 6 7 9 10 11 12 13 12 11 9 nan
nan 13 11 10 9 8 8 8 8 8 7 8 9 10 10 9 7 7 11 14 13 8 3 1 3 6 8 9 8 7 8 11 12 11 8 6 5 5 6 8 8 7 6 6 7 7 6 4 3 3 4 5 5 6 5 5 5 6 6 6 5 4 4 4 6 9 11 11 10 10 13 17 22 28 31 31 27 22 17 12 9 7 7 6 6 8 10 10 9 8 7 7 7 7 8 8 8 8 7 6 5 4 4 5 6 6 6 6 6 5 5 5 6 6 6 7 7 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 4 5 5 6 7 7 8 7 7 6 4 3 2 2 2 2 3 4 4 5 5 6 6 5 4 4 3 3 2 2 2 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 4 4 4 5 6 6 7 7 8 8 8 8 6 5 nan
nan 10 10 9 9 9 9 9 8 8 7 7 8 9 10 9 8 8 10 12 12 8 4 2 4 9 13 14 12 10 9 10 9 8 6 5 5 5 6 7 8 7 6 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 7 6 6 5 6 7 9 12 13 12 10 10 12 16 21 25 26 24 21 18 14 10 7 5 5 5 6 8 10 10 9 7 7 7 7 8 8 7 7 7 7 6 4 4 5 7 6 5 6 6 6 6 6 5 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 6 7 7 8 9 8 8 6 5 4 3 2 2 3 3 4 5 5 6 6 5 5 4 4 3 2 2 2 3 4 4 5 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 4 4 5 5 5 6 6 6 7 7 6 5 4 4 nan
nan 8 9 9 10 10 10 10 9 8 7 6 8 9 8 7 6 7 8 9 10 8 5 4 5 9 14 16 15 13 11 9 6 5 5 5 6 6 7 7 7 6 5 4 3 3 3 3 4 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 9 11 11 10 9 9 11 14 17 18 18 17 16 14 10 5 2 2 4 5 6 8 9 9 8 7 7 7 8 8 7 7 7 6 6 5 4 5 7 8 7 6 6 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 6 7 8 9 9 9 8 6 5 4 3 2 2 3 4 4 5 6 5 5 5 4 4 3 2 2 2 3 3 4 5 5 5 5 6 6 5 5 5 5 5 5 6 6 5 5 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 5 5 4 4 4 nan
nan 7 8 9 10 10 10 11 10 9 7 6 7 8 7 4 3 4 5 7 8 7 6 5 5 8 11 14 15 14 11 8 5 4 5 6 7 7 7 7 6 5 4 3 2 2 2 3 4 5 6 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 8 7 6 7 9 11 12 13 14 14 13 10 5 0 -1 2 5 6 6 8 9 8 7 7 7 7 8 7 7 7 6 6 5 4 4 6 9 9 7 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 6 7 8 9 10 10 9 8 7 5 4 3 2 3 4 4 5 6 6 5 5 4 4 3 2 2 2 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 nan
nan 7 8 8 8 9 9 10 11 10 8 6 7 8 6 3 1 1 3 5 6 6 6 5 5 5 8 11 14 14 11 7 5 5 6 8 8 8 7 6 5 4 3 2 2 2 3 4 5 6 6 7 7 8 8 8 7 8 8 8 9 10 10 9 7 6 6 5 5 6 7 9 11 12 12 12 10 8 3 0 3 8 10 8 7 8 9 7 6 6 6 7 7 6 6 6 6 6 6 5 6 8 9 9 8 7 9 9 8 7 7 7 6 6 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 4 5 6 7 8 10 11 11 11 10 9 7 6 4 3 3 3 4 5 6 6 5 5 4 3 2 2 2 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 nan
nan 9 9 8 7 8 9 10 11 11 8 5 5 6 6 3 1 0 2 3 5 6 6 5 3 3 5 10 13 13 10 7 6 6 8 9 10 9 7 5 4 3 2 1 2 3 3 4 5 6 7 7 7 8 8 8 8 8 7 7 8 9 9 8 7 7 7 5 4 5 6 9 11 12 11 11 9 7 6 7 12 15 14 10 8 9 9 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 9 10 10 8 7 7 7 7 6 6 5 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 6 7 9 11 12 13 13 12 11 10 8 5 4 3 4 4 5 5 6 5 5 4 3 2 2 2 1 2 2 3 4 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 5 5 4 5 5 5 4 4 5 5 4 4 4 4 4 4 4 nan
nan 11 10 10 8 8 9 10 11 11 8 5 4 5 5 4 2 2 2 3 4 5 6 5 3 2 3 8 11 11 10 8 7 8 9 10 10 8 6 4 3 2 1 1 2 3 4 5 5 6 7 7 7 8 8 8 8 7 6 5 6 7 7 7 8 9 9 7 5 5 6 8 10 12 12 11 10 9 11 16 19 19 15 11 9 9 9 7 6 6 6 6 6 6 5 6 7 7 7 7 8 9 9 9 9 10 11 11 9 8 7 7 6 6 5 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 3 3 4 5 7 9 11 13 14 14 14 13 12 10 7 4 3 3 4 4 5 5 5 4 4 3 2 1 1 1 1 2 2 4 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 13 12 11 10 9 9 9 10 10 9 7 6 6 6 6 6 5 5 4 4 5 5 5 4 1 1 4 7 9 9 9 9 9 10 10 9 7 5 4 2 2 2 2 2 3 4 5 5 6 6 7 8 9 9 8 6 5 4 3 4 5 5 6 9 11 11 8 6 6 6 7 9 11 12 12 11 11 15 19 20 17 13 10 9 9 9 7 6 6 6 6 6 6 5 6 6 7 7 7 8 10 9 9 10 11 12 11 9 8 8 7 6 6 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 3 3 2 2 3 4 5 7 9 11 13 14 15 15 15 14 11 8 5 3 3 4 4 5 5 5 4 3 3 2 1 1 2 2 2 2 3 5 5 5 5 5 5 5 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 nan
nan 14 14 12 10 9 8 8 8 7 8 9 10 11 11 10 9 9 7 5 4 3 3 2 1 -1 -2 -0 3 7 9 10 10 10 9 9 8 7 5 3 2 2 2 3 3 4 4 5 5 5 6 6 8 10 10 8 5 3 3 4 4 4 5 7 10 12 11 9 8 7 6 6 7 9 11 11 11 13 16 18 16 13 10 8 9 9 9 7 6 6 5 6 6 6 5 5 5 6 6 6 8 9 8 9 10 12 12 10 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 3 5 6 8 10 11 13 15 16 16 14 12 8 5 3 3 4 4 4 4 4 4 3 2 2 2 2 3 2 2 2 3 4 5 5 5 4 4 4 4 4 3 3 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 nan
nan 15 14 12 10 8 7 6 5 5 6 10 14 16 15 13 11 9 8 5 2 -0 -1 -1 -1 -2 -2 -1 1 5 8 10 10 9 9 8 8 6 5 3 3 2 3 3 4 4 4 5 5 5 5 6 7 9 10 8 5 4 5 6 6 5 6 8 11 11 10 9 9 9 8 7 7 9 10 10 11 14 15 14 12 9 8 8 8 9 8 7 6 5 5 5 6 6 5 5 5 5 5 6 8 8 7 8 10 12 11 9 7 7 7 6 6 6 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 3 2 2 2 2 3 4 5 7 8 10 12 15 16 16 15 12 8 5 3 3 4 4 4 4 4 4 3 3 3 3 4 4 3 2 2 3 4 5 4 4 4 4 4 4 3 3 3 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 4 nan
nan 15 14 11 9 7 6 5 4 4 5 9 14 15 14 11 9 7 6 4 1 -1 -2 -1 -1 -1 -1 -1 1 4 8 9 9 9 8 7 7 6 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 6 7 7 7 8 9 8 7 6 6 9 10 10 9 10 10 11 10 9 9 10 11 12 14 15 15 12 9 7 7 8 8 9 8 7 6 5 5 5 6 6 5 5 4 5 5 6 8 8 8 8 10 11 10 8 7 6 6 6 6 5 5 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 3 2 2 2 2 2 3 4 6 7 9 11 14 16 17 16 13 9 5 4 4 4 5 5 5 5 4 4 4 4 5 5 4 3 2 2 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 nan
nan 15 13 10 8 6 6 5 5 4 4 5 9 11 10 8 6 5 4 3 3 2 2 2 2 1 -0 -0 1 4 7 8 9 8 7 6 6 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 5 6 8 11 12 10 7 6 6 7 7 7 8 9 11 11 11 10 10 11 12 14 16 16 14 10 8 7 7 8 8 8 7 6 5 5 5 6 6 6 5 5 5 5 6 7 9 8 8 8 9 10 9 7 6 6 6 6 6 5 5 5 4 4 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 2 2 2 2 3 4 5 6 8 10 13 15 16 16 15 11 8 6 5 6 6 6 5 5 5 4 4 5 5 5 4 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 nan
nan 13 11 9 7 6 5 5 6 5 2 2 3 6 7 6 4 3 3 4 5 5 6 6 5 3 2 1 2 4 6 8 8 7 6 5 5 5 4 5 5 5 5 5 4 3 3 3 3 3 4 4 5 5 5 7 9 12 12 10 7 6 6 4 3 3 6 8 10 11 12 12 12 12 13 15 16 15 11 8 7 6 7 7 8 7 7 6 5 5 6 6 6 6 5 5 5 6 7 9 10 9 6 6 8 8 8 7 6 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 3 2 2 2 2 3 3 4 5 7 9 11 13 15 16 16 15 12 10 8 8 8 7 6 5 5 4 4 5 5 4 3 2 2 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 nan
nan 10 10 9 7 6 5 5 5 5 2 0 1 3 5 5 5 4 4 5 5 6 7 8 8 7 5 3 3 5 6 7 7 7 6 5 4 4 5 5 5 6 6 6 5 4 3 3 3 4 4 4 4 5 6 7 10 12 11 8 6 7 6 3 -0 1 4 6 9 11 13 14 13 13 13 14 14 12 9 6 6 7 7 7 7 7 7 6 5 5 6 7 7 6 5 4 5 6 8 10 10 8 5 4 6 8 8 6 6 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 3 3 2 2 3 3 3 4 6 8 10 11 13 14 16 16 15 13 11 10 9 8 6 5 5 4 4 5 4 3 1 1 2 3 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 9 9 8 7 6 6 6 5 3 1 1 3 5 7 8 6 5 5 5 5 6 8 9 9 7 6 5 6 7 8 7 7 6 5 4 5 5 5 5 6 6 7 6 5 4 4 5 4 4 4 4 5 6 7 9 10 9 6 5 6 7 3 0 1 3 5 8 10 13 14 13 12 12 13 12 10 7 6 6 6 7 7 7 7 7 6 6 6 7 7 7 6 4 4 4 6 9 10 10 8 5 4 6 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 3 2 2 2 3 3 4 6 8 9 10 11 12 13 13 12 11 9 8 7 5 5 5 5 5 4 3 1 1 1 2 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 6 5 5 5 5 nan
nan 8 8 9 9 9 8 7 7 6 4 2 1 3 5 8 9 7 5 4 4 4 5 6 8 9 8 7 7 7 7 8 8 7 6 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 5 4 4 5 6 8 9 7 4 4 5 6 5 2 2 4 5 6 9 10 11 11 11 11 11 11 9 7 5 5 6 7 8 8 7 7 6 6 6 7 7 7 5 4 4 5 7 9 10 10 8 6 5 6 7 8 7 7 6 6 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 3 2 2 2 3 3 4 6 6 7 8 8 8 8 9 8 8 7 5 5 5 5 5 5 4 2 1 1 1 2 4 4 5 4 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 4 4 5 5 5 6 6 6 5 5 5 nan
nan 9 8 9 9 9 9 9 9 8 6 3 2 3 5 7 8 7 6 5 4 4 4 5 6 7 7 7 6 6 7 7 7 6 5 5 5 6 6 6 5 4 4 4 4 4 5 6 6 7 6 6 5 5 5 6 8 9 7 4 3 5 5 4 4 4 4 4 5 7 8 9 10 10 11 11 10 9 7 6 6 6 7 8 8 8 7 6 6 6 6 7 6 5 5 5 5 7 9 10 10 9 7 6 5 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 3 3 2 2 2 3 3 4 4 5 6 7 6 6 6 7 6 6 6 5 5 5 5 4 3 2 2 1 2 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 nan
nan 9 9 9 9 7 7 7 8 9 7 5 3 2 3 5 7 7 6 6 5 5 4 4 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 4 3 3 4 5 6 7 7 7 7 6 6 5 5 7 8 6 4 5 5 4 4 5 5 4 4 5 6 8 9 9 9 10 10 10 9 8 6 6 6 7 8 8 8 7 7 6 6 6 6 5 5 6 5 5 7 9 10 10 9 7 6 6 7 8 8 8 7 6 5 5 5 6 5 5 6 5 5 4 4 5 5 5 4 4 4 5 5 5 5 5 4 5 5 5 5 4 4 4 5 5 4 3 3 3 2 2 2 2 2 3 5 7 9 9 7 6 6 6 7 7 6 5 4 4 4 4 3 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 8 7 7 7 nan
nan 9 9 9 7 5 4 5 6 8 8 7 5 3 3 6 9 9 7 7 6 6 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 6 6 6 5 5 4 4 5 5 6 7 7 7 6 6 6 5 5 5 6 5 5 6 6 4 3 4 5 5 5 6 7 7 7 8 8 8 9 9 9 8 7 6 6 6 7 7 7 8 7 7 7 6 6 5 6 6 5 5 6 8 9 9 8 8 7 7 7 8 7 7 6 6 6 6 6 6 6 6 6 5 5 4 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 3 3 3 2 2 2 3 6 11 17 17 13 8 6 7 8 8 7 5 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 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 nan
nan 8 8 7 6 5 4 4 5 7 8 9 8 7 6 8 10 10 8 7 7 7 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 7 6 5 5 5 5 5 4 4 4 5 7 6 4 3 3 5 7 8 7 7 6 6 6 6 7 7 8 8 8 7 6 6 5 6 7 8 8 8 8 7 7 6 6 6 6 5 5 6 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 4 4 4 4 4 3 3 4 5 5 5 4 4 4 3 3 2 2 2 7 16 25 27 22 14 9 8 9 9 8 6 5 4 4 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 nan
nan 7 7 7 7 7 6 6 6 7 8 9 10 9 8 10 11 10 9 8 8 7 7 7 7 6 5 5 6 6 6 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 6 8 8 7 5 4 4 5 6 6 5 4 4 5 7 7 6 5 5 7 9 9 8 7 6 5 5 6 6 7 7 8 8 7 6 6 5 6 7 8 8 9 8 8 8 7 7 7 6 5 5 5 6 7 8 9 9 9 7 6 7 7 6 6 7 8 7 7 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 5 5 6 5 5 5 4 4 3 2 2 7 16 26 31 28 20 13 9 8 8 7 6 5 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 nan
nan 7 7 7 8 9 9 8 7 6 7 8 9 8 7 8 9 10 9 9 9 8 8 8 8 7 6 5 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 5 6 8 8 6 4 3 4 5 7 7 6 5 5 6 7 7 6 6 7 8 9 9 8 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 9 8 8 7 7 7 7 6 5 5 6 7 9 9 9 8 6 5 6 6 6 8 9 9 8 7 7 7 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 6 6 5 4 3 2 2 5 12 20 26 26 22 16 10 7 6 5 4 4 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 nan
nan 8 8 8 8 8 9 9 8 6 6 7 8 7 4 4 6 8 9 10 10 9 9 9 8 7 6 5 5 5 6 6 6 6 6 6 5 5 5 4 4 4 4 5 4 5 6 7 7 6 4 3 3 5 7 8 7 6 7 8 8 6 5 5 7 8 8 8 7 7 7 7 8 9 8 8 7 7 8 7 6 6 6 6 7 7 8 9 9 8 8 7 7 7 7 6 6 5 5 7 8 9 8 7 6 5 5 5 7 9 10 10 9 7 7 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 5 4 2 2 3 7 12 16 18 17 13 9 5 4 4 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 10 8 7 6 6 7 7 7 6 5 4 4 5 4 3 4 6 8 9 10 10 10 10 9 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 5 6 7 6 6 5 4 4 6 8 8 8 9 10 10 10 8 6 5 7 8 8 7 7 7 8 9 10 10 9 8 8 8 8 7 6 6 6 6 7 8 8 9 9 8 7 7 7 7 7 6 5 5 5 6 7 7 7 6 5 5 5 5 7 8 9 9 9 8 7 6 6 5 5 5 5 5 4 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 3 3 3 5 7 9 10 10 9 7 5 4 4 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 nan
nan 10 8 6 5 4 5 5 6 6 4 2 -0 2 4 5 4 5 6 8 9 10 10 10 9 8 8 8 8 9 9 8 7 7 6 5 4 5 5 5 6 6 6 7 7 7 7 7 7 7 6 5 5 6 8 9 9 10 12 13 14 12 9 9 9 9 8 7 7 8 9 11 11 11 10 9 8 9 9 8 7 6 6 6 7 8 8 9 9 8 7 7 7 7 6 5 5 5 5 6 6 6 6 5 5 4 4 5 6 7 7 6 7 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 4 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 8 9 9 10 10 10 10 10 11 11 10 10 10 9 9 8 7 7 6 6 5 5 4 nan
nan 10 8 6 4 3 3 4 5 6 5 3 1 1 4 5 5 5 5 7 8 9 10 9 9 9 9 10 12 14 12 10 8 7 6 4 4 5 5 6 6 6 7 8 8 8 8 9 10 10 9 7 7 7 8 8 9 9 11 13 15 14 12 11 10 8 7 6 7 8 9 11 11 11 9 8 8 9 9 8 7 6 6 7 7 8 8 8 8 8 7 7 7 7 6 5 6 6 6 6 6 6 6 5 5 4 4 5 6 7 5 4 5 7 7 7 6 6 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 6 7 7 7 6 6 6 7 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 5 5 5 4 4 4 nan
nan 9 8 6 4 3 3 4 6 6 6 4 3 3 4 6 6 6 5 6 7 8 9 10 10 10 10 12 15 16 14 11 9 7 6 5 5 5 6 7 7 7 7 8 8 8 8 10 13 14 12 10 8 8 8 8 8 8 9 10 10 10 9 9 8 6 5 5 6 8 9 10 11 10 9 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 7 7 7 7 6 5 5 6 6 6 6 6 6 6 5 5 4 5 7 7 5 3 4 5 6 5 5 6 6 6 6 5 5 4 4 4 4 4 4 4 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 4 4 5 6 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 5 4 4 4 4 5 5 5 5 nan
nan 8 8 7 5 4 3 5 7 7 6 5 4 4 4 5 7 7 6 6 6 7 8 9 10 10 10 12 14 14 12 10 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 10 12 13 12 10 9 9 9 9 9 9 8 6 3 3 4 5 5 4 4 5 6 8 9 10 10 10 9 9 9 9 9 8 7 6 5 6 8 8 8 8 8 8 8 7 7 7 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 4 3 4 4 4 4 4 4 5 6 6 5 5 5 5 5 5 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 3 3 2 3 4 5 6 7 7 7 7 7 6 5 5 5 4 4 4 4 4 6 7 7 8 8 7 7 7 7 7 8 8 9 10 11 11 11 10 10 9 9 9 8 8 7 7 6 5 4 4 4 4 5 5 5 6 6 6 nan
nan 7 8 7 6 5 5 6 8 8 7 6 5 4 3 4 7 8 7 6 6 7 8 9 10 10 11 12 11 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 8 10 10 11 11 11 9 4 -1 -1 1 3 3 4 5 6 7 8 9 10 10 9 9 9 9 9 9 8 7 6 6 6 7 8 9 9 8 8 7 7 7 7 6 5 4 5 5 6 6 6 6 6 6 7 7 6 7 7 6 4 3 4 4 4 3 1 2 4 5 5 5 5 5 5 5 5 4 4 5 6 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 3 2 1 1 1 1 2 3 5 5 6 6 6 6 5 5 5 4 4 3 2 1 1 3 5 7 8 8 8 7 7 7 8 8 9 9 10 11 11 10 9 8 8 8 7 7 6 6 5 5 4 4 4 5 5 6 6 6 7 7 7 nan
nan 6 8 8 7 6 7 8 10 10 9 8 8 8 6 5 7 9 8 6 6 7 8 8 9 10 11 11 8 6 5 6 7 8 9 9 9 8 8 7 8 8 8 8 9 10 9 8 6 5 4 5 7 9 11 12 12 13 12 7 2 1 2 3 3 4 6 8 9 9 9 9 9 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 8 8 7 7 7 7 6 5 5 5 5 6 6 6 5 5 6 6 6 6 6 6 5 4 4 4 5 5 3 1 2 3 4 3 4 6 6 6 6 5 4 4 5 6 6 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 3 4 4 4 3 2 1 1 1 1 2 3 3 3 3 3 4 4 4 4 3 3 2 1 -1 -2 -1 3 6 9 9 8 7 7 8 8 8 9 9 10 10 9 8 7 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 nan
nan 6 8 8 8 7 8 10 12 13 11 10 11 12 10 5 5 7 8 7 6 7 8 8 9 10 11 10 8 5 4 5 5 7 8 8 8 7 6 6 6 7 7 7 9 9 7 5 4 3 3 4 5 8 10 11 11 13 13 11 9 8 8 6 4 5 7 9 10 10 9 9 8 7 7 7 8 9 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 6 5 5 5 5 5 6 5 5 5 5 5 6 6 6 5 5 4 4 5 4 3 3 4 4 3 3 5 7 7 6 6 5 4 4 6 7 7 6 5 4 4 4 4 4 4 4 4 5 5 6 6 5 3 3 4 5 5 5 4 3 2 2 1 0 0 0 1 1 0 1 2 3 2 2 2 2 3 1 -1 -2 0 5 9 8 8 7 7 7 7 8 8 9 8 8 7 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 8 nan
nan 6 8 9 8 8 8 10 13 15 14 10 10 13 12 7 3 4 6 7 6 7 8 8 9 10 11 10 8 6 5 5 5 5 6 6 6 6 6 5 6 6 5 6 7 6 3 2 2 3 4 3 4 5 6 7 8 10 12 13 14 14 12 8 5 5 7 9 10 10 9 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 5 4 4 5 4 4 5 5 5 5 5 6 6 5 5 5 5 4 5 6 7 7 6 5 4 4 4 4 4 4 4 4 4 5 6 6 4 3 4 5 6 6 6 5 4 4 3 2 1 -0 -0 1 1 0 -0 1 3 3 2 2 4 6 6 4 1 2 6 8 8 7 7 6 6 6 7 7 7 7 6 5 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 8 10 9 9 9 10 12 14 13 9 6 8 11 9 5 4 5 6 7 8 8 8 9 10 11 10 8 7 6 5 4 4 4 4 5 6 6 6 7 6 6 6 6 3 1 1 2 4 4 4 3 3 3 3 5 7 9 11 14 14 12 8 5 6 7 9 10 10 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 6 6 6 5 5 6 6 5 4 4 5 5 5 5 5 6 6 7 7 6 4 3 4 5 5 5 6 7 8 9 7 5 4 4 4 5 5 4 4 5 5 6 5 4 3 3 4 5 5 5 5 5 5 4 3 3 3 2 3 4 4 2 1 2 4 5 5 5 7 9 10 10 8 7 7 8 7 7 6 5 5 5 5 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 nan
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nan 4 4 4 5 6 8 9 10 12 12 11 10 9 10 10 10 11 13 13 13 13 13 15 18 21 25 27 27 22 13 3 -3 -5 -1 6 11 13 12 12 13 13 14 13 12 11 9 8 7 6 6 5 5 5 4 4 4 3 3 3 4 4 5 6 6 7 7 7 7 7 7 8 8 8 8 9 9 10 11 12 12 13 13 13 13 13 13 14 15 15 14 13 12 11 10 9 9 9 9 8 8 9 10 11 12 12 11 10 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 8 7 8 10 11 11 10 9 9 9 7 6 7 9 10 11 11 10 8 7 8 10 11 9 7 5 4 4 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 5 5 5 5 6 8 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 4 4 5 5 7 10 13 16 17 16 13 10 9 10 10 9 8 9 10 9 9 10 13 17 22 27 29 28 24 17 8 1 -2 -1 4 8 10 11 11 11 10 10 9 8 7 6 6 5 5 5 5 5 4 3 3 2 2 2 2 3 4 5 6 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 11 12 12 12 13 13 13 13 14 15 15 14 13 11 10 9 9 9 9 9 8 7 8 9 11 12 13 12 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 10 11 11 10 9 9 9 9 8 7 8 10 10 10 9 8 8 7 8 9 8 6 4 3 3 4 6 7 7 7 7 6 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 6 7 8 8 9 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 nan
nan 6 6 5 5 7 12 16 19 19 16 11 8 7 7 6 4 1 1 4 5 6 7 9 14 19 25 27 27 24 18 10 3 -1 -1 1 2 4 5 6 6 5 5 4 4 3 3 4 4 5 5 5 4 3 3 2 2 2 2 3 4 5 6 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 15 15 14 13 11 9 9 9 9 9 8 8 7 8 9 10 12 13 12 10 9 9 9 8 8 8 9 8 8 8 8 8 9 9 9 9 8 9 10 12 12 11 10 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 5 4 2 1 1 3 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 6 5 5 6 7 8 8 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 nan
nan 6 6 5 5 7 11 16 18 18 14 9 5 5 4 2 -1 -4 -4 -1 2 4 5 6 8 14 20 23 23 20 16 9 2 -0 -1 -2 -4 -5 -3 -2 -0 0 1 2 2 3 3 4 5 5 5 4 4 4 3 3 3 3 4 5 6 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 13 12 10 9 9 9 9 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 11 11 11 11 11 10 8 7 8 10 10 10 8 7 7 7 7 7 7 4 1 -0 -0 0 2 4 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 nan
nan 6 6 5 5 6 9 12 14 14 11 7 5 4 4 2 0 -2 -3 -1 3 5 5 6 7 11 16 18 18 15 12 7 3 1 1 -1 -4 -5 -5 -3 -1 0 2 3 5 5 6 6 6 6 5 5 5 4 4 4 5 5 6 7 7 8 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 9 10 9 9 8 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 7 8 9 9 10 10 11 11 9 6 7 11 13 13 10 7 5 3 4 5 7 5 1 -1 -1 1 3 5 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 6 6 6 7 8 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 nan
nan 6 5 5 4 5 6 7 9 10 8 7 5 5 6 6 5 4 3 4 8 10 10 11 11 12 13 14 12 10 7 4 2 1 1 2 3 3 3 4 4 5 7 8 8 9 9 8 8 7 6 6 6 6 6 6 6 6 7 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 10 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 6 7 8 8 8 8 9 10 10 8 6 9 13 15 14 10 6 2 1 3 6 7 5 -0 -2 0 3 6 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 8 8 9 9 8 7 6 6 7 7 7 6 6 7 8 9 10 11 11 11 10 10 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 nan
nan 5 5 5 4 4 3 3 4 6 7 7 6 7 7 8 8 8 8 9 11 13 14 13 12 9 7 7 6 5 4 3 2 2 5 9 13 15 14 12 11 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 8 8 9 9 8 7 8 10 12 12 10 8 5 3 3 6 9 10 5 -0 0 3 6 8 9 10 10 8 7 6 7 8 8 8 8 8 9 9 8 8 9 10 10 10 8 7 6 7 7 7 7 7 7 8 9 10 11 12 11 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 nan
nan 4 4 4 4 3 1 0 1 3 5 7 8 8 9 9 9 10 9 9 9 10 9 7 3 0 -1 -0 1 2 2 2 3 5 10 15 19 19 16 13 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 10 10 10 9 8 7 8 8 9 10 11 11 11 10 10 10 10 11 10 9 8 8 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 9 10 8 6 4 5 6 5 6 9 11 9 4 1 3 6 8 9 9 10 10 8 7 7 7 8 8 9 8 9 9 9 8 9 10 11 11 10 8 7 7 7 7 7 8 8 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 nan
nan 4 3 3 3 3 2 2 1 2 4 6 8 9 9 9 9 9 8 7 5 3 1 -1 -3 -3 -2 -0 2 2 1 1 1 4 7 10 11 10 7 6 6 5 5 5 5 5 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 14 14 14 14 13 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 12 11 11 10 10 9 8 7 7 8 9 10 11 11 11 11 10 10 10 10 10 9 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 8 3 1 2 6 8 8 8 9 8 6 3 4 7 9 9 9 10 11 10 8 7 7 7 8 8 9 9 9 9 9 9 10 11 11 10 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 nan
nan 5 4 4 3 4 4 5 4 3 3 5 7 8 7 6 4 4 4 4 3 2 1 2 3 4 7 9 9 6 3 1 -1 -1 -1 -2 -3 -4 -3 -1 1 2 3 4 5 6 6 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 12 13 14 14 14 14 13 13 12 12 12 13 14 14 14 14 14 14 14 14 14 14 13 13 12 11 11 11 11 10 9 7 7 7 9 11 12 12 11 11 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 5 1 1 4 9 11 9 8 7 6 5 5 7 10 11 11 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 10 12 12 11 9 7 7 7 7 7 7 8 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 8 8 8 8 7 8 nan
nan 8 7 5 5 5 6 7 7 7 5 5 6 5 3 1 -1 -1 -0 0 1 3 6 9 11 13 15 16 14 10 6 3 0 -2 -5 -8 -9 -7 -3 1 4 5 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 14 14 14 13 12 11 11 11 11 12 13 14 15 15 15 15 15 15 14 14 13 12 12 12 12 12 12 11 10 8 8 8 9 11 12 12 11 11 10 10 11 11 11 10 9 8 8 8 9 9 10 9 10 10 10 10 10 10 11 11 10 10 9 9 8 5 3 4 7 10 10 9 7 7 7 7 9 11 12 12 11 9 8 7 7 8 9 8 7 7 9 10 10 9 9 10 12 13 12 10 8 6 6 6 7 7 7 8 9 9 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 9 nan
nan 10 8 7 6 6 6 7 8 8 8 7 7 5 3 1 0 -0 -0 0 2 5 9 12 13 14 14 14 12 10 8 6 5 4 1 0 1 5 9 11 13 14 14 15 15 15 15 15 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 9 10 11 13 14 14 14 13 12 11 10 9 9 10 11 13 14 15 16 16 16 16 15 15 15 14 13 12 12 12 12 12 12 10 9 8 9 10 11 12 11 11 10 10 10 11 12 12 11 10 8 7 8 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 8 9 10 11 12 13 13 12 10 7 6 6 7 8 8 7 7 8 10 11 10 9 10 11 13 12 10 8 6 6 6 7 7 7 8 9 9 9 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 7 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 10 nan
nan 13 9 6 5 5 5 5 6 8 10 11 11 10 9 9 8 8 6 5 6 9 11 12 10 9 8 7 7 8 9 10 12 14 15 17 20 22 23 23 23 22 21 20 20 20 19 18 17 16 15 14 13 13 12 11 11 10 9 9 9 9 9 10 10 11 13 14 13 13 12 10 9 8 7 8 9 10 12 13 15 16 16 17 17 16 16 15 15 14 13 12 12 13 13 12 10 9 8 9 10 11 11 11 11 11 11 11 11 11 12 11 10 8 7 8 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 10 10 11 10 9 9 9 10 10 12 13 14 13 12 11 10 8 6 6 7 7 7 7 7 9 11 12 11 10 9 10 12 13 11 9 7 6 6 7 8 8 9 9 9 9 9 10 9 9 8 8 8 8 8 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 13 8 4 3 3 3 3 5 7 11 14 16 15 15 15 14 13 12 12 12 13 13 12 10 7 5 3 3 5 8 11 15 19 23 28 30 31 31 28 25 23 21 20 20 20 19 18 17 16 15 14 13 12 11 10 10 9 9 9 9 9 10 10 11 12 13 13 13 12 10 8 7 6 6 7 8 9 11 13 14 15 16 17 17 17 16 16 15 15 14 13 12 13 13 12 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 8 8 8 9 9 9 9 8 9 10 10 11 11 11 10 10 10 10 10 11 11 11 10 9 8 9 10 11 12 13 13 10 8 8 7 6 6 6 7 8 8 9 10 11 12 11 9 8 9 11 12 12 10 8 7 6 7 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 nan
nan 10 5 3 4 4 4 4 4 6 9 14 16 17 16 15 14 13 13 14 14 13 11 10 9 7 6 5 4 4 6 9 13 16 20 24 26 26 25 22 19 17 16 16 17 17 17 16 15 15 14 13 11 10 9 9 8 8 8 9 9 9 10 10 11 12 12 12 11 10 8 7 5 5 5 6 7 8 9 11 13 15 16 17 17 17 17 16 16 15 14 13 13 13 13 13 12 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 8 9 10 11 11 11 11 10 11 11 11 11 10 9 9 8 7 7 8 9 10 11 11 9 7 6 6 6 6 6 6 6 7 9 10 11 11 10 8 8 9 11 12 12 10 9 7 7 8 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 nan
nan 5 3 5 9 10 8 5 3 3 5 9 13 14 13 12 11 10 11 13 14 11 7 6 6 7 8 8 6 6 6 7 11 13 15 16 15 13 12 11 10 11 12 13 13 14 14 13 13 12 11 10 9 8 7 7 7 8 8 9 9 9 9 10 10 11 11 10 9 8 6 5 4 4 4 5 5 6 8 10 11 13 15 16 17 17 17 16 16 16 15 14 14 14 14 14 13 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 9 8 8 9 9 9 9 8 9 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 7 8 8 9 10 10 9 7 6 6 6 7 7 7 6 7 8 10 11 11 11 10 10 11 12 12 12 11 9 9 8 8 9 10 10 9 8 8 8 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 nan
nan 1 3 10 15 16 13 8 3 1 2 5 8 10 10 10 8 8 9 11 11 8 5 5 6 7 8 8 7 6 6 7 10 13 13 12 8 5 5 7 9 10 11 11 11 11 11 11 10 9 8 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 7 6 5 4 4 3 3 3 4 5 6 8 10 11 13 15 16 17 17 17 17 16 16 15 14 14 14 14 13 12 12 12 12 12 12 12 13 13 14 14 12 11 10 10 9 8 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 8 9 10 10 10 9 8 6 6 7 8 8 8 7 7 8 10 12 12 12 11 11 12 13 12 11 10 9 9 9 10 10 10 10 9 8 7 8 8 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 9 9 10 10 9 9 8 8 nan
nan 0 4 11 17 19 16 11 5 2 2 4 6 6 7 6 5 5 6 8 8 7 7 8 8 7 6 4 5 6 8 11 14 15 14 12 9 7 8 10 11 12 12 11 10 9 9 8 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 3 3 2 2 3 4 5 6 8 10 11 13 15 16 17 18 18 17 16 16 15 15 15 15 14 13 12 12 12 12 13 13 13 13 14 14 14 13 12 11 10 10 9 9 8 8 9 9 8 7 8 9 10 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 9 8 7 7 8 8 8 7 7 8 10 12 13 13 12 12 11 11 11 10 9 8 9 10 10 10 10 9 8 7 6 8 8 9 9 9 9 10 9 9 8 8 8 7 8 8 8 8 8 7 7 8 7 7 7 8 8 9 9 9 10 10 9 9 9 9 9 8 8 8 7 7 nan
nan 1 3 8 14 17 16 13 8 4 3 5 5 5 4 3 1 1 3 5 6 7 8 9 9 6 3 3 5 10 15 19 20 19 16 13 11 10 12 13 13 12 10 9 8 7 6 5 5 4 4 4 5 5 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 4 3 2 2 2 2 2 3 4 5 6 8 10 11 14 16 17 18 18 18 17 16 16 16 16 15 14 13 12 11 11 12 13 13 13 12 13 14 15 14 13 12 11 11 10 9 8 8 9 9 7 6 7 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 9 10 11 12 11 11 10 10 10 9 8 7 7 9 10 10 9 8 7 6 6 7 8 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 8 8 8 9 9 10 9 9 9 8 8 7 7 7 7 7 nan
nan 3 3 6 10 14 15 13 10 7 5 4 4 4 3 2 2 3 4 5 5 6 6 7 6 5 4 5 11 17 22 24 23 20 16 14 12 11 12 12 11 9 7 6 5 4 4 3 3 4 4 4 5 6 6 7 8 8 8 7 6 5 5 4 4 4 4 5 5 4 4 3 2 1 1 1 1 2 3 3 5 6 8 10 12 15 17 18 19 18 17 16 16 16 15 15 14 13 12 11 10 10 11 13 13 12 12 13 14 14 13 12 11 11 11 10 9 9 10 9 7 6 7 7 8 8 9 10 10 10 9 9 10 10 10 10 10 11 12 11 10 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 9 9 8 8 7 6 7 8 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 5 5 7 9 11 12 13 12 9 6 3 3 3 4 5 6 6 6 6 5 4 3 3 3 4 5 9 16 21 23 22 20 16 13 11 10 9 9 8 6 5 3 3 2 2 3 3 3 4 4 5 6 7 8 9 9 9 8 7 6 5 4 3 3 3 3 3 4 3 3 2 1 1 0 0 0 1 1 2 3 5 7 9 11 14 17 19 20 20 19 17 16 16 15 14 13 12 12 11 10 10 11 13 13 12 12 12 13 13 12 11 11 11 10 9 9 9 9 8 7 6 6 7 7 7 8 9 10 10 9 8 9 9 9 9 10 11 11 11 10 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 7 7 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 8 8 8 nan
nan 6 7 8 9 10 10 9 9 8 6 3 3 4 5 7 8 8 6 4 3 2 2 2 3 4 6 9 14 17 17 16 14 12 9 7 6 5 5 3 2 1 1 1 1 2 3 3 4 4 5 6 7 9 9 10 11 10 9 7 6 5 3 3 2 2 2 2 2 2 1 1 1 1 1 0 0 1 1 2 3 4 6 8 10 14 17 20 21 21 20 18 16 16 15 14 13 12 11 11 10 11 12 13 13 12 12 12 12 12 11 11 10 9 9 9 8 8 9 8 7 6 6 7 8 8 8 9 10 9 8 8 8 8 8 9 9 10 11 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 7 7 8 9 10 9 8 8 7 7 7 8 nan
nan 3 4 6 7 7 6 5 5 5 5 4 4 5 6 7 8 8 5 2 1 1 1 3 4 5 5 6 7 8 9 9 8 6 2 1 1 1 0 -1 -1 -1 -0 1 2 3 4 4 5 6 7 8 9 10 11 12 12 11 10 8 6 4 3 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 4 5 7 10 13 18 21 23 23 21 18 16 15 14 13 12 11 10 10 11 11 12 12 12 12 11 11 11 12 11 10 9 8 8 8 8 8 9 8 7 7 7 8 8 8 9 10 10 9 8 7 8 8 8 9 9 10 10 10 9 9 8 7 8 8 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 10 10 10 9 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 8 7 6 6 7 8 nan
nan 1 1 3 5 6 4 1 2 3 4 4 4 4 6 8 11 12 9 6 3 2 2 3 4 4 3 3 3 5 5 3 1 -1 -3 -3 -3 -3 -3 -3 -2 -0 1 2 4 5 6 6 7 7 8 8 10 11 12 13 13 12 10 8 6 4 3 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 4 5 7 10 14 19 23 25 23 20 16 15 14 13 12 12 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 10 9 8 8 8 9 10 10 10 10 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 8 8 9 10 11 11 9 8 7 7 7 8 8 8 8 8 8 8 7 8 8 7 7 8 8 8 8 9 9 9 10 9 9 8 7 7 7 7 7 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
409 416 373 279 200 122 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 0 0 0 0 0 0 0 0 2 3 5 14 37 63 121 283 474 414 118 121 440 716 933 1095 1188 1224 1232 1230 1229 1250 1296 1330 1316 1285 1271 1387 1490 1539 1598 1665 1666 1591 1486 1367 1252 1187 1188 1234 1276 1144 1014 891 869 891 891 805 665 526 386 257 168 115 88 70 61 48 28 20 16 11 4 1 1 0 0 1 4 10 18 25 33 42 48 50 47 43 41 39 35 33 35 38 42 47 57 72 84 92 100 102 93 86 86 89 90 87 78 67 57 60 63 64 54 45 44 47 45 44 48 55 59 59 55 49 44 38 35 30 29 33 43 62 70 66 59 52 45 38 33 32 38 47 70 128 386 620 841 1019 1069 1027 942 770
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