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 8 8 9 9 8 9 9 10 9 8 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 12 14 15 14 11 8 7 7 7 7 6 6 5 5 4 5 5 5 5 4 4 3 3 4 5 5 4 2 -1 -3 -2 2 8 14 21 26 29 29 26 22 17 12 9 6 5 4 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 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 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 7 7 7 7 7 8 9 10 13 15 15 13 10 7 7 7 7 6 6 6 6 5 5 5 5 6 5 5 4 4 4 5 6 6 4 1 -2 -2 0 6 13 21 29 34 34 32 26 20 14 10 7 5 5 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 5 5 5 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 5 5 5 6 6 6 6 7 7 6 6 6 6 nan
nan 7 7 8 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 8 7 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 8 10 13 16 15 12 9 8 7 7 7 6 7 6 6 5 5 5 6 6 6 5 4 5 6 7 7 5 3 0 -1 -0 4 11 21 31 38 40 37 30 23 16 11 8 7 6 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 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 7 8 8 8 8 9 9 9 8 7 7 6 6 5 6 6 6 7 11 15 16 14 11 9 8 7 7 7 7 7 6 5 5 5 5 6 6 6 5 5 6 7 8 7 5 3 1 -0 2 8 18 30 40 44 42 34 26 19 14 11 9 8 8 7 7 7 7 7 7 7 7 7 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 5 6 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 8 8 7 7 7 6 5 5 5 5 6 9 13 16 16 15 12 9 8 7 7 7 7 7 6 5 5 5 5 5 6 6 6 7 8 8 8 6 5 2 0 0 4 12 24 35 41 41 36 28 22 17 14 12 12 12 12 12 12 13 13 12 11 9 8 7 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 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 7 nan
nan 6 7 7 8 8 7 6 7 7 7 7 7 7 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 6 5 5 5 6 8 11 13 15 16 15 12 10 8 7 7 8 8 7 7 5 5 5 5 5 5 6 7 7 8 8 7 6 4 2 0 1 6 15 24 31 33 31 27 23 19 17 17 17 17 18 18 19 20 21 20 17 14 10 7 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 nan
nan 6 6 6 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 7 7 6 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 11 13 15 15 14 11 9 8 8 8 8 8 7 5 5 5 5 5 6 6 7 7 8 8 7 6 4 2 1 3 7 12 17 20 21 21 20 18 17 17 17 17 17 19 22 25 28 29 27 22 15 10 7 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 6 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 6 7 9 12 14 15 14 12 11 10 9 8 8 7 6 5 5 5 5 6 6 7 7 7 7 8 7 6 5 3 2 3 4 6 9 11 12 13 12 11 10 9 9 10 13 18 23 29 33 33 29 21 15 10 6 5 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 nan
nan 8 7 6 6 6 7 7 7 7 6 6 6 7 7 8 8 8 8 8 7 7 8 9 9 8 7 6 7 8 8 9 9 9 9 9 8 8 9 9 9 8 7 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 10 9 8 7 7 7 8 8 8 8 8 9 9 10 10 9 9 8 7 6 6 7 9 11 13 14 15 14 13 12 10 9 8 7 6 6 5 5 6 6 6 6 7 7 7 8 7 6 5 4 3 2 2 3 4 5 5 5 5 3 1 1 2 5 10 16 23 28 31 29 23 17 11 8 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 nan
nan 8 8 7 6 6 6 7 7 7 6 6 7 7 7 8 8 9 8 8 7 7 8 9 9 9 8 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 8 7 8 8 9 10 11 12 14 15 17 16 14 11 9 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 4 3 2 2 1 1 2 1 0 -0 -1 -0 1 4 8 14 19 23 23 21 17 13 9 7 6 6 5 5 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 7 7 7 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 9 8 9 9 10 11 11 10 10 10 13 17 18 18 15 13 11 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 4 3 3 2 2 2 2 2 2 2 2 2 4 7 10 14 16 17 16 14 13 11 9 8 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 6 7 7 6 6 6 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 10 10 10 9 10 10 11 11 10 9 8 8 11 14 16 18 18 17 15 12 10 9 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 4 4 4 5 5 4 4 3 4 5 7 9 12 15 16 16 15 13 11 9 8 7 6 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 nan
nan 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 8 8 8 9 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 9 9 9 9 9 10 10 9 10 10 10 10 9 9 8 7 8 9 10 12 14 17 19 18 15 13 10 9 8 8 7 7 6 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 4 4 5 8 12 17 19 20 19 16 13 10 8 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 6 7 8 8 8 8 8 7 7 7 7 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 8 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 9 10 13 16 18 18 16 13 11 9 9 8 8 7 6 5 5 4 5 5 6 6 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 6 5 4 5 9 15 20 23 24 22 18 14 11 8 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 5 5 nan
nan 6 6 6 7 7 7 8 7 8 8 9 9 9 8 8 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 8 9 9 9 8 7 8 9 10 13 16 18 17 15 12 10 9 9 9 8 7 6 6 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 6 5 7 12 18 23 26 26 23 18 14 10 8 6 5 5 5 5 5 5 5 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 6 6 5 5 nan
nan 7 6 5 6 6 7 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 8 7 7 8 9 9 8 8 7 7 7 7 8 7 7 7 8 8 8 7 7 7 8 8 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 9 9 10 13 15 17 15 13 11 10 9 9 8 8 8 7 6 6 5 5 5 6 6 7 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 7 6 6 9 15 21 25 26 24 20 15 11 9 7 6 6 5 5 5 6 6 6 6 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 5 nan
nan 8 6 6 6 7 7 7 8 10 10 10 10 9 10 10 10 9 9 9 10 10 9 10 10 11 12 11 10 9 9 8 8 9 10 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 9 10 13 15 16 14 12 10 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 7 6 7 12 18 22 24 23 20 16 12 9 7 7 6 6 5 5 5 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 8 7 7 8 7 7 7 8 9 9 9 9 9 9 8 7 7 7 8 9 10 11 12 11 11 10 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 11 14 15 15 12 10 8 7 7 7 7 7 7 7 7 7 6 7 7 8 8 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 9 13 18 20 21 19 15 12 10 8 6 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 6 nan
nan 10 9 8 8 8 7 6 6 7 8 9 9 8 8 7 6 6 5 5 5 6 8 10 11 10 9 9 9 9 10 12 12 10 7 7 7 8 8 9 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 8 9 9 10 10 9 9 9 9 9 11 12 13 13 12 11 9 8 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 9 8 7 8 10 13 17 18 17 15 13 10 8 7 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 11 10 10 9 8 8 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 8 9 9 8 8 8 8 9 10 10 8 7 6 6 7 8 9 8 7 7 6 6 7 8 7 7 7 7 8 9 9 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 9 10 10 9 8 8 8 8 9 10 11 11 10 10 10 9 9 10 11 11 12 12 11 10 9 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 9 8 7 8 10 13 15 16 15 13 12 10 8 7 6 6 6 6 6 6 6 7 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 nan
nan 12 12 11 11 11 10 9 9 9 9 8 7 7 7 7 8 9 8 8 8 9 9 10 9 9 8 7 6 6 7 7 7 7 6 5 5 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 8 7 7 7 8 10 11 12 12 11 10 8 7 8 9 10 11 12 13 12 12 12 12 12 11 9 9 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 8 9 10 12 14 14 13 13 12 11 9 8 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 nan
nan 11 12 13 13 12 11 11 10 10 8 7 6 6 7 9 10 10 10 10 11 12 13 12 11 10 9 7 6 5 5 5 6 6 6 6 5 5 6 7 7 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 8 8 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 9 8 7 7 7 9 10 12 13 13 11 9 7 7 8 8 9 10 11 12 12 13 15 16 16 15 12 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 8 8 10 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 11 11 12 13 13 13 12 12 10 8 6 5 5 7 8 9 10 10 10 12 13 14 12 11 10 9 8 7 5 4 4 5 6 6 6 6 5 5 6 6 8 8 9 9 8 8 7 7 7 7 7 8 9 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 9 8 7 7 8 9 11 12 12 12 10 8 7 7 8 8 8 9 11 11 12 12 14 16 16 14 11 9 9 9 9 9 8 9 9 10 11 11 12 13 13 13 13 13 13 13 13 13 13 13 12 12 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 8 7 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 10 11 11 12 12 12 12 12 11 9 7 6 6 7 8 9 9 9 10 11 12 11 10 9 8 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 7 8 8 9 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 10 10 11 11 10 8 7 7 7 8 8 9 10 11 11 11 11 12 13 12 10 7 6 6 6 6 6 7 8 9 10 11 12 13 14 15 15 15 14 14 14 14 14 14 14 13 13 12 11 11 10 10 10 9 8 8 8 8 8 9 10 10 11 12 12 12 12 12 12 10 9 8 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 10 11 11 11 11 11 11 11 10 10 9 8 9 9 9 9 9 9 10 10 10 9 8 7 6 5 5 6 7 8 8 7 7 7 7 8 9 9 8 7 6 6 7 8 8 8 8 7 8 9 10 10 9 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 9 9 10 10 10 10 11 11 10 10 9 8 7 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 9 11 12 12 11 11 11 11 9 7 5 3 3 2 3 4 6 8 9 11 12 13 14 14 15 14 14 14 14 14 15 14 14 14 14 13 13 12 12 12 12 11 11 10 9 8 8 7 8 8 9 10 11 12 13 13 13 13 12 11 10 9 9 9 8 7 6 6 5 5 5 5 6 6 6 6 6 6 7 7 7 8 8 7 nan
nan 10 10 10 10 10 11 10 10 9 9 9 10 10 10 10 9 9 10 10 10 9 8 7 6 5 5 5 6 8 9 9 9 9 9 10 10 11 11 9 7 5 5 5 7 8 8 9 9 10 11 11 10 8 6 5 6 7 8 9 9 10 10 10 10 10 9 9 9 9 8 7 7 8 8 9 10 10 10 10 11 10 10 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 11 12 12 11 10 10 10 9 7 5 3 2 0 0 3 6 8 10 11 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 12 11 11 10 9 9 9 8 9 9 10 11 12 13 13 13 13 13 12 11 11 10 8 7 6 6 6 5 6 6 6 6 6 6 6 7 7 7 8 8 8 nan
nan 8 9 9 9 9 10 10 9 8 8 9 10 10 10 10 9 10 10 11 11 10 8 7 6 6 6 7 8 9 8 8 8 9 10 11 10 9 9 8 7 6 5 5 6 8 9 10 11 12 12 11 9 7 5 5 6 7 9 10 10 11 11 11 10 10 9 9 10 9 9 8 8 9 9 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 10 11 11 10 9 9 9 9 9 7 5 4 2 1 3 5 7 8 8 8 8 9 10 11 12 12 12 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 12 11 11 11 10 9 9 9 10 10 11 12 13 14 14 14 14 13 11 10 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 nan
nan 8 8 8 8 8 10 10 9 9 9 9 9 9 9 9 9 10 11 11 10 9 7 6 6 7 8 9 8 7 6 6 7 8 8 8 7 6 6 7 8 8 7 6 7 8 9 11 12 12 11 9 7 5 4 5 6 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 12 11 10 10 9 9 8 8 8 9 9 9 8 7 7 6 7 7 8 9 9 8 8 8 9 10 10 10 9 9 9 9 9 10 9 8 8 6 5 4 4 5 6 6 3 1 1 3 7 10 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 12 11 11 10 9 9 10 11 11 12 14 14 14 14 13 11 10 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 7 8 8 7 5 4 5 6 8 8 8 6 5 4 5 7 9 9 9 8 8 9 10 11 12 11 9 7 6 5 5 5 6 7 8 9 9 8 8 8 8 9 9 10 11 11 12 12 12 11 11 11 12 11 10 9 9 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 5 2 -1 -2 -0 6 10 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 10 10 10 10 10 11 12 12 13 13 13 13 13 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 8 7 7 8 8 8 7 5 4 5 8 10 11 11 9 6 5 5 6 8 9 10 10 10 10 10 11 11 12 10 8 7 6 6 6 6 7 7 7 7 6 7 7 7 7 8 9 11 13 14 15 15 13 12 11 11 10 10 9 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 6 6 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 5 3 1 2 6 9 9 8 7 6 6 7 7 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 13 13 13 13 14 14 13 12 11 11 10 10 10 10 10 11 12 13 14 15 14 13 12 11 9 8 7 7 7 7 7 7 7 7 7 7 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 6 8 10 12 13 13 12 9 7 5 6 7 8 10 12 13 14 13 12 11 11 11 10 8 7 7 8 8 7 7 7 6 5 5 6 6 6 6 7 10 13 16 17 18 17 15 13 11 10 9 9 8 7 7 7 7 8 8 8 8 8 9 10 9 9 8 7 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 9 9 9 8 7 6 5 5 6 5 4 3 3 4 4 5 5 6 7 7 8 8 8 8 8 9 9 9 10 11 11 11 12 12 12 13 14 14 14 13 12 12 12 11 11 10 9 9 10 12 14 16 17 16 15 13 11 9 8 8 8 8 7 7 7 7 7 7 7 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 9 9 9 9 8 8 8 9 12 14 15 14 13 10 8 6 6 6 7 9 11 13 15 16 16 14 11 10 10 10 9 8 7 7 7 7 6 5 5 5 5 6 6 6 6 8 11 14 16 17 17 16 14 13 11 10 9 9 8 8 8 7 8 8 8 8 7 8 9 10 9 9 8 8 7 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 9 9 9 10 9 8 7 5 5 4 2 -0 -1 -1 1 3 5 6 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 10 11 11 11 12 13 14 14 14 13 12 12 12 12 11 9 8 9 11 13 16 17 18 17 15 13 11 10 9 8 8 8 8 8 8 7 7 7 nan
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nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 9 10 10 10 9 8 8 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 8 8 7 6 6 7 8 10 10 11 11 12 11 10 11 11 12 11 10 10 9 9 9 10 10 10 9 7 6 5 4 5 6 7 6 6 5 5 5 6 6 7 6 5 5 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 9 9 10 11 11 12 12 11 11 10 9 9 9 9 8 8 9 10 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 10 10 9 9 9 9 9 10 10 9 8 8 8 8 7 8 9 10 10 10 10 10 10 11 11 12 13 13 12 11 10 9 10 11 11 11 10 8 7 5 5 5 6 6 7 6 6 5 5 6 7 8 7 7 6 5 6 7 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 nan
nan 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 8 8 9 10 10 10 9 9 9 9 9 8 9 10 10 11 12 13 14 13 11 10 9 10 11 12 12 11 9 8 7 7 7 7 6 6 6 6 7 7 7 7 8 8 7 6 6 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 11 10 10 10 10 10 9 9 9 9 9 nan
nan 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 8 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 10 10 10 11 12 12 12 12 10 10 10 10 9 9 9 10 10 9 7 7 9 10 11 11 9 9 9 9 8 7 8 9 10 11 12 13 13 12 11 10 9 9 10 11 11 10 9 8 7 8 8 8 6 5 5 7 8 9 9 8 8 8 6 5 7 9 11 10 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 nan
nan 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 10 11 12 12 11 9 8 9 10 11 12 14 13 12 11 10 10 10 9 9 9 10 10 9 7 7 8 9 9 8 7 8 9 10 8 8 8 9 10 12 12 12 12 11 10 9 7 7 8 9 9 9 8 7 7 7 7 7 6 5 5 6 8 9 9 10 9 9 7 7 9 10 11 9 9 10 10 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 nan
nan 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 10 10 9 9 10 10 10 11 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 9 9 9 9 9 9 9 10 9 9 8 9 9 9 9 8 8 7 7 9 11 12 11 10 9 8 8 9 10 12 14 13 12 11 11 10 10 10 10 10 10 10 9 8 8 8 8 7 6 6 8 10 11 11 10 9 10 11 12 12 11 11 10 9 7 6 6 7 7 8 8 8 7 7 7 7 8 7 7 7 7 6 7 8 10 10 10 9 10 10 11 10 9 9 10 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 nan
nan 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 10 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 8 8 8 8 9 10 11 10 9 8 8 8 9 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 8 7 7 7 9 12 13 13 13 12 11 10 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 8 7 8 8 9 9 9 8 7 6 8 9 11 11 11 11 12 11 10 10 10 11 11 12 12 12 11 11 11 12 12 13 13 13 12 12 11 11 10 10 10 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 11 11 12 11 11 11 12 12 12 12 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 7 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 14 12 10 9 8 8 8 9 9 9 9 8 7 7 7 8 9 9 10 9 9 9 9 9 10 10 9 8 8 8 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 11 11 12 12 12 11 10 10 10 9 9 8 8 7 7 8 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 10 11 12 12 12 12 12 12 12 13 13 14 14 15 15 15 14 13 11 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 10 11 11 12 12 13 13 12 11 9 7 7 7 8 9 10 10 10 9 8 8 8 9 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 10 9 9 8 7 7 6 6 6 6 6 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 10 11 12 12 11 10 10 10 10 10 11 12 13 14 15 16 17 15 13 10 9 9 9 9 10 11 12 12 12 11 10 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 11 10 9 7 6 7 8 9 10 10 11 10 10 9 9 10 11 12 12 11 11 10 9 9 9 10 10 10 11 11 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 8 8 7 6 5 5 5 5 5 6 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 12 14 15 16 14 12 11 10 10 10 11 12 12 12 11 11 11 10 9 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 10 10 10 10 11 11 11 10 10 10 9 8 8 7 8 9 10 11 11 11 11 10 10 10 11 11 11 11 10 9 8 8 9 9 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 9 9 8 8 8 9 8 8 8 9 9 9 7 6 5 5 4 4 4 5 6 6 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 8 8 9 10 10 10 9 9 9 10 10 11 10 9 8 8 7 6 6 7 7 7 7 7 7 7 6 7 8 10 11 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 8 8 9 10 10 10 11 11 11 10 10 10 11 11 12 11 10 9 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 8 9 9 8 7 5 3 3 3 4 4 5 6 7 7 nan
nan 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 8 8 9 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 9 10 11 12 12 11 10 8 8 8 9 10 11 10 9 8 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 8 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 12 12 11 10 9 9 9 10 9 8 8 8 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 9 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 9 9 8 8 9 10 10 11 11 10 10 10 10 9 9 10 9 7 4 3 2 3 4 4 5 6 7 8 8 nan
nan 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 8 8 8 9 10 11 11 10 10 9 9 9 8 8 8 9 10 11 13 14 14 13 12 10 8 7 7 8 9 10 9 9 8 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 8 9 10 11 12 12 12 12 12 11 10 10 11 12 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 11 12 12 11 10 9 9 9 9 8 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 9 8 8 8 8 7 8 9 10 10 10 11 11 11 12 11 10 9 8 8 9 9 10 11 11 11 11 11 10 10 10 10 8 5 3 2 3 5 6 7 7 8 9 9 9 nan
nan 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 9 10 11 12 13 13 12 11 11 10 10 10 10 11 12 13 14 15 15 14 12 10 8 7 7 7 8 8 9 9 9 8 8 7 8 8 8 8 9 9 8 7 7 6 6 5 5 5 6 6 6 7 8 9 9 10 11 12 11 10 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 8 8 8 8 9 10 10 10 11 12 12 12 11 10 8 8 9 9 10 11 11 11 11 11 11 10 10 8 5 3 2 3 5 7 8 9 9 10 10 10 10 nan
nan 9 10 10 10 10 10 11 11 11 11 11 11 10 10 9 8 8 8 9 10 11 11 11 10 9 9 8 8 7 8 8 8 9 10 12 13 14 13 13 12 11 11 12 12 12 13 13 14 14 14 13 12 10 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 6 6 6 7 8 8 9 9 10 10 10 9 9 9 8 8 9 10 11 12 12 12 11 10 9 9 8 8 8 9 10 10 9 9 9 9 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 10 9 8 8 9 9 9 8 8 8 9 9 10 11 12 12 12 12 10 9 8 8 9 10 10 11 11 11 11 10 9 6 3 2 2 3 6 8 9 10 10 10 10 10 11 11 nan
nan 9 10 9 10 10 10 10 10 11 11 11 10 10 9 8 8 8 9 10 11 12 12 11 11 10 9 9 8 8 8 8 9 9 10 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 7 6 5 6 6 6 6 7 7 8 8 8 9 9 9 9 9 8 7 7 7 8 9 10 12 12 12 11 10 10 9 8 9 9 9 8 8 7 8 9 10 9 10 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 9 8 8 8 9 9 8 7 8 9 9 10 11 11 12 12 12 10 10 9 8 9 10 10 11 11 11 11 10 8 4 2 2 4 6 8 9 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 9 9 8 8 9 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 7 6 6 7 8 10 11 11 11 11 10 9 9 9 8 8 8 8 9 9 9 9 9 10 10 11 10 10 10 9 9 10 11 11 11 9 9 8 9 9 10 10 10 10 10 9 8 8 8 8 8 6 6 7 8 9 10 11 11 12 13 12 11 10 9 8 9 9 10 11 11 11 11 10 8 6 5 6 7 8 9 9 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 12 12 12 11 11 11 10 10 9 9 9 10 11 11 10 10 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 9 8 8 7 7 7 7 7 8 8 8 8 7 6 6 5 5 6 7 7 8 8 9 8 8 8 7 8 8 8 8 9 9 8 8 8 9 9 9 10 9 8 7 6 6 6 7 8 9 10 10 10 10 9 9 9 8 9 10 10 10 9 9 9 10 10 10 9 9 9 9 10 11 12 12 11 9 8 8 9 10 10 11 10 10 9 8 7 6 6 6 5 4 5 6 8 9 10 10 11 12 13 13 12 11 9 8 8 9 10 11 11 11 11 10 8 8 9 10 9 9 9 9 9 9 9 10 10 10 11 11 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 11 11 11 11 10 10 10 10 9 9 9 10 11 11 11 10 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 8 7 6 5 6 8 9 9 9 9 9 8 9 9 10 10 10 8 8 8 8 9 9 9 9 9 9 9 11 12 12 11 9 8 8 9 9 10 11 11 10 9 8 7 6 6 6 6 5 5 6 7 8 10 10 10 11 12 13 13 12 11 9 9 9 9 10 11 11 11 10 9 9 9 10 9 7 7 7 8 9 9 9 9 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 12 13 12 11 10 9 9 9 9 9 8 9 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 8 8 7 7 6 7 7 8 8 8 9 9 9 9 9 8 8 7 7 6 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 8 8 9 10 10 11 11 11 11 10 10 9 8 8 8 8 9 9 8 8 7 7 8 9 10 10 8 6 6 6 6 7 7 8 8 8 8 9 10 10 10 9 9 9 9 10 10 11 10 10 9 8 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 11 12 13 12 10 9 9 9 10 11 11 11 11 10 9 9 10 8 6 5 5 7 8 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 10 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 10 10 9 8 7 6 5 5 4 4 4 5 5 6 7 7 8 8 9 9 8 8 8 9 9 10 11 12 12 12 12 12 12 12 12 11 10 9 9 8 7 6 7 8 9 10 9 8 6 5 5 5 6 7 7 7 7 7 8 9 9 9 8 9 10 11 11 11 11 10 9 9 9 8 8 8 9 10 11 12 14 14 13 12 10 9 9 9 10 11 12 11 10 9 9 9 10 10 11 11 10 10 10 10 9 7 6 5 6 8 9 9 9 9 9 9 9 8 8 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 11 12 12 11 11 10 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 6 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 9 7 6 5 5 5 5 5 6 6 6 6 6 6 7 8 9 9 9 9 8 9 9 10 11 12 13 12 13 13 13 13 12 11 11 10 9 8 7 6 7 8 9 10 10 9 7 7 6 7 7 7 7 7 7 8 10 11 11 10 10 10 11 12 12 11 11 10 10 9 10 10 11 11 12 13 13 15 16 15 14 11 9 8 8 8 9 11 11 11 10 9 9 9 9 10 11 10 10 10 9 10 9 8 8 8 9 10 10 10 10 9 9 8 8 8 7 nan
nan 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 10 11 11 11 11 12 11 10 9 7 6 5 5 5 6 6 6 6 6 5 5 5 6 7 7 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 10 9 7 6 6 6 6 6 7 8 8 8 7 6 6 6 8 9 10 10 10 9 10 10 11 12 12 12 10 9 9 9 10 9 10 10 10 9 8 7 8 8 8 9 9 8 7 6 6 7 8 8 8 8 8 9 11 12 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 12 13 14 14 15 16 16 14 12 10 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 12 11 10 10 10 10 9 8 8 7 7 nan
nan 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 10 10 11 11 12 12 13 12 10 8 6 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 7 8 8 8 8 7 7 7 7 7 8 8 7 7 8 8 8 9 10 10 11 10 9 8 7 7 6 6 7 8 9 9 8 7 7 6 7 8 9 10 11 11 11 11 11 12 12 10 8 7 5 5 5 5 6 7 7 7 6 6 6 7 8 7 6 4 3 2 2 3 4 5 6 7 8 9 11 12 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 10 12 13 13 14 15 15 15 13 11 9 9 8 8 8 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 9 10 10 11 12 13 12 11 11 10 10 9 8 7 7 6 nan
nan 10 10 9 9 9 9 9 9 8 7 7 6 7 7 8 9 9 10 10 11 13 14 14 12 9 8 7 6 6 5 5 5 5 5 4 5 6 7 7 7 7 7 8 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 6 7 8 9 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 9 8 6 6 7 6 5 4 4 4 4 3 2 2 3 3 3 2 1 -0 -1 -0 0 1 1 2 2 3 4 6 8 9 10 8 8 8 8 8 8 8 8 9 9 8 8 8 8 10 11 12 12 13 14 15 14 12 11 10 9 9 8 8 8 8 9 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 10 12 13 13 13 12 11 10 9 8 7 6 6 nan
nan 9 8 8 8 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 9 12 14 14 12 9 8 8 7 7 6 5 5 5 5 4 6 7 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 7 7 7 8 8 8 8 8 9 8 9 9 10 10 10 11 11 11 10 9 9 10 11 12 11 9 7 6 5 4 3 2 2 1 0 -0 -0 -0 1 1 2 3 3 3 2 2 2 2 3 3 3 3 4 6 6 6 6 6 7 8 8 8 7 6 7 8 10 11 11 11 13 14 13 13 11 10 10 9 8 8 8 8 8 9 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 11 13 14 15 13 11 10 9 8 7 6 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 10 13 13 11 9 8 8 8 7 7 6 6 6 5 4 6 8 9 9 8 9 10 11 12 11 10 10 10 10 10 10 10 10 11 10 10 9 7 6 6 6 7 8 8 9 9 10 10 10 10 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 13 14 15 15 14 12 10 9 8 8 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 4 3 2 1 -0 0 3 6 6 6 6 7 8 9 8 6 6 6 7 9 10 10 10 10 12 13 13 12 11 10 9 9 9 8 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 12 14 15 14 12 10 8 8 7 7 7 nan
nan 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 5 5 7 10 11 10 8 8 8 8 8 8 7 7 6 4 4 6 7 8 8 9 9 10 11 11 11 11 11 11 11 10 10 10 11 12 11 10 8 5 2 2 2 4 6 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 14 15 15 15 14 12 11 11 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 6 4 3 2 1 2 5 6 6 7 8 9 10 10 8 7 7 7 8 9 9 9 8 9 10 11 11 11 11 11 10 10 9 8 8 8 8 8 9 10 10 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 13 15 15 14 11 10 9 8 8 8 nan
nan 7 7 7 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 6 6 6 7 9 8 8 7 7 7 8 8 8 8 6 4 4 5 6 8 8 9 10 10 10 10 10 11 11 12 12 11 10 10 11 11 11 11 8 5 2 1 1 2 4 7 9 9 9 9 9 10 10 9 9 8 8 9 9 10 10 10 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 14 14 13 13 14 14 14 13 13 12 12 11 11 11 12 12 12 11 10 8 6 5 4 3 4 4 5 6 8 9 10 11 10 9 8 8 9 9 9 8 8 8 8 8 9 10 11 12 12 12 12 10 9 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 11 10 12 14 16 17 16 15 13 12 11 10 nan
nan 7 7 7 8 8 7 7 6 6 7 7 8 8 8 9 9 9 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 7 4 3 3 5 7 9 10 10 10 10 10 10 10 11 13 13 13 11 10 10 10 11 12 11 10 7 5 3 2 3 4 6 7 7 7 8 9 9 9 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 8 8 8 9 10 12 13 15 16 17 17 18 18 18 18 17 16 16 16 16 17 18 19 19 19 17 14 11 9 8 7 5 5 5 6 8 9 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 10 12 13 13 14 14 13 11 9 7 8 9 10 11 11 11 10 10 10 10 10 10 11 11 12 13 13 13 12 11 11 10 11 15 17 19 19 17 16 16 16 nan
nan 8 8 8 8 9 8 8 7 7 8 8 9 9 9 10 10 10 10 9 9 8 8 8 9 9 8 8 7 7 7 7 8 7 5 3 2 4 7 9 10 10 10 11 10 10 10 11 12 13 13 12 10 10 10 11 13 14 14 13 11 8 5 3 2 2 2 3 4 6 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 9 10 10 10 9 8 7 8 8 9 10 11 13 14 16 18 18 18 18 18 19 19 20 21 22 23 24 23 22 21 19 17 15 13 11 10 11 12 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 12 14 15 15 16 15 14 12 9 7 8 9 10 11 11 11 10 10 10 9 9 10 11 11 11 12 13 13 12 11 10 9 10 12 14 15 15 15 16 18 19 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
71 69 59 45 33 22 12 3 2 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 27 30 46 101 141 155 144 148 171 206 272 406 574 838 1049 1115 1119 1131 1163 1315 1471 1410 1270 1071 845 641 498 428 373 336 307 278 243 201 156 118 86 64 47 33 24 15 8 5 5 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 1 1 1 0 0 0 1 1 3 5 11 17 31 47
67 78 77 68 56 48 45 28 21 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 9 27 36 54 72 98 135 178 239 424 547 861 1146 1315 1420 1486 1440 1406 1363 1386 1358 1209 980 758 588 489 446 414 377 344 312 271 221 164 112 81 54 40 30 17 9 12 6 3 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 2 2 1 1 1 1 0 0 0 0 0 0 0 1 3 4 3 7 19
32 46 56 59 56 57 71 61 46 30 18 8 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 4 8 15 29 54 92 129 148 212 401 693 1012 1283 1455 1527 1408 1268 1281 1367 1377 1252 1056 870 725 637 563 510 462 421 392 353 299 236 169 114 75 53 40 26 15 18 9 2 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 2 2 2 1 1 0 0 0 0 1 0 1 2 4 4 3 4 6
12 20 31 40 48 58 72 69 54 37 24 13 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 23 53 81 94 130 247 484 830 1178 1379 1387 1275 1216 1264 1336 1328 1211 1076 957 846 762 700 642 582 535 497 447 390 323 246 176 129 102 68 40 41 33 18 6 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 1 1 1 0 0 0 0 1 1 2 3 3 3 3 3 3
6 8 16 32 48 60 67 63 50 32 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 2 11 32 56 72 87 134 286 600 979 1234 1304 1291 1259 1293 1325 1289 1211 1134 1059 977 909 862 815 752 698 649 582 515 434 350 275 215 163 102 70 57 45 33 21 10 7 5 2 0 0 0 0 0 1 0 1 2 2 2 2 3 2 1 1 1 1 1 1 1 2 2 2 1 1 0 0 1 1 2 3 3 3 3 4 5 5
4 8 21 40 54 62 59 51 36 18 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 7 5 4 3 1 2 2 3 3 2 2 3 1 0 0 0 0 0 0 0 1 0 0 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 6 20 38 53 57 69 144 353 668 992 1247 1453 1570 1529 1434 1346 1300 1247 1185 1132 1098 1073 1016 916 848 790 724 659 593 507 392 296 213 161 123 91 66 51 38 23 17 11 4 0 0 1 0 1 0 0 0 0 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 4 5 5 6 6 6
1 8 26 46 50 52 43 26 13 5 1 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 8 8 6 6 7 5 6 6 7 8 8 9 8 6 3 1 0 0 0 0 0 1 1 1 2 2 3 4 3 2 2 1 0 1 1 0 0 0 0 3 11 20 27 32 37 69 177 377 691 1012 1286 1486 1537 1457 1379 1320 1268 1231 1227 1279 1309 1155 990 902 847 807 775 732 648 512 412 339 254 173 121 94 79 57 38 26 15 7 4 5 4 1 1 1 1 1 1 0 0 1 2 2 2 2 1 2 2 2 2 2 2 3 3 4 5 7 5 4 4 6 7 6 5 5 5 5
1 10 27 38 31 27 19 8 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 4 6 9 9 8 7 9 10 10 9 9 10 11 11 10 9 7 5 2 1 0 0 1 1 2 2 2 2 2 3 5 6 4 2 1 1 2 2 1 0 0 1 2 5 11 18 28 39 83 205 425 673 894 1073 1172 1178 1210 1177 1145 1141 1160 1177 1140 985 884 824 811 835 868 865 792 672 562 476 362 243 170 127 104 85 64 44 27 15 11 10 8 5 3 1 1 1 1 1 0 1 1 1 1 2 2 1 2 3 3 3 3 4 7 9 10 10 9 9 8 8 6 5 5 5 5 5
11 22 34 32 22 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 3 4 5 6 7 8 8 10 9 10 11 11 10 10 12 14 13 11 10 9 7 5 3 4 5 5 4 3 3 1 0 1 1 4 7 6 7 6 4 4 3 2 0 0 0 0 0 1 8 23 26 47 118 245 417 606 764 884 944 989 1013 1028 1029 991 975 865 772 714 690 704 773 898 964 938 842 705 568 433 305 227 179 157 129 98 70 47 32 21 15 11 9 6 4 3 2 1 1 2 3 3 2 1 2 2 2 3 3 3 4 5 6 9 12 14 15 16 15 9 6 5 6 6 5 6 8
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