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 7 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 7 9 10 9 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 9 9 10 9 9 9 8 8 8 7 7 7 7 7 8 8 7 5 4 3 2 3 3 4 5 5 5 5 6 7 9 10 12 13 13 13 13 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 6 5 5 6 7 8 9 10 12 15 19 24 31 36 39 39 34 26 17 9 4 3 2 2 2 3 4 4 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 7 nan
nan 7 7 8 8 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 8 8 8 7 7 7 7 8 8 7 6 5 4 4 3 4 4 4 4 5 5 5 6 7 9 11 12 12 12 12 12 11 10 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 7 8 8 9 10 12 15 19 26 33 40 43 42 36 27 16 8 4 2 1 1 2 3 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 nan
nan 7 7 7 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 7 7 6 7 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 5 5 5 6 7 8 8 7 6 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 7 9 10 11 12 12 12 11 11 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 10 12 15 19 26 34 41 44 43 35 24 14 7 4 2 1 1 2 3 4 5 5 5 5 5 5 6 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 8 8 8 8 nan
nan 7 7 7 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 6 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 8 8 8 8 8 8 7 7 6 7 8 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 9 10 11 12 12 12 12 11 10 10 9 9 8 8 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 12 15 19 25 33 38 41 38 30 19 11 6 3 2 1 1 2 2 3 4 5 5 5 5 6 5 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 8 8 8 8 nan
nan 7 7 7 8 7 7 7 7 7 7 6 7 7 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 8 7 7 6 6 7 7 8 8 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 7 6 7 7 8 7 7 7 7 6 6 6 6 6 5 5 6 8 10 11 12 12 13 13 12 11 11 10 9 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 10 12 14 18 23 28 32 33 29 21 14 9 5 2 2 1 1 1 2 2 3 4 4 5 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 7 8 8 8 8 8 9 10 10 8 7 7 8 8 9 9 9 10 9 8 8 8 7 7 7 8 7 7 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 8 8 7 7 7 6 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 5 5 6 8 10 12 12 13 13 13 13 12 11 10 9 8 7 7 7 6 6 6 5 6 6 7 7 8 8 8 8 8 8 9 9 10 11 13 15 18 22 24 23 18 13 8 5 3 3 2 2 2 2 2 2 3 3 4 5 6 6 6 6 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 nan
nan 7 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 7 7 7 9 10 9 9 8 8 9 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 7 8 9 8 8 7 7 7 8 8 8 8 8 9 9 9 8 6 5 6 8 11 12 12 13 13 14 14 13 11 10 9 8 7 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 13 14 15 15 14 11 7 4 3 2 3 3 3 3 3 3 3 3 4 5 6 7 7 7 7 6 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 nan
nan 6 5 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 9 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 9 10 10 9 8 8 8 8 8 8 9 9 8 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 8 8 7 7 7 7 8 9 10 10 11 10 8 6 5 6 9 11 13 13 13 13 13 14 13 12 10 9 8 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 9 9 10 10 11 12 11 10 9 7 5 3 2 2 3 3 4 4 5 4 4 4 4 5 6 7 7 8 7 7 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 6 5 5 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 7 8 8 9 8 7 6 6 6 5 5 6 6 7 8 9 10 10 8 6 5 4 4 5 6 7 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 7 8 8 7 7 7 8 8 9 8 8 7 7 7 7 8 9 10 11 10 8 6 6 7 10 12 14 14 13 13 13 13 13 12 11 9 9 8 8 8 8 8 7 6 6 6 6 7 7 8 9 10 10 9 9 9 10 10 11 11 10 10 9 7 6 4 3 2 2 3 4 5 5 5 6 5 5 5 5 6 6 7 7 8 7 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 7 6 6 6 5 5 5 6 7 7 8 9 9 8 6 4 3 3 4 6 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 6 6 7 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 9 9 8 7 6 6 8 10 12 14 14 14 14 14 14 14 13 12 11 11 10 10 10 10 9 8 7 6 6 6 7 8 9 10 10 10 10 10 10 10 11 11 11 11 10 9 8 6 6 5 4 4 5 6 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 7 7 6 5 5 4 4 4 4 4 5 5 4 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 6 5 5 6 6 7 7 6 6 7 8 8 8 8 9 10 10 10 9 9 8 8 8 8 7 7 7 7 6 5 5 6 6 7 7 8 8 7 6 5 4 5 6 6 6 6 7 7 8 8 9 9 9 9 8 8 9 9 8 8 8 8 7 7 7 6 6 5 5 6 7 8 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 9 11 13 14 15 15 15 15 15 15 15 15 14 13 12 11 11 9 8 7 7 7 7 8 9 10 11 11 10 10 10 10 10 11 12 12 12 12 11 10 9 8 8 7 7 8 8 8 8 7 7 6 6 6 5 6 6 6 7 7 8 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 6 6 6 nan
nan 6 6 5 5 6 6 6 6 5 5 6 6 7 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 9 9 8 8 8 8 9 8 8 7 7 8 8 8 8 8 8 7 6 5 6 7 7 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 6 5 5 7 9 12 14 15 15 16 16 17 18 19 18 17 15 14 13 12 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 nan
nan 5 6 6 6 6 6 6 5 5 5 6 6 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 6 6 6 7 9 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 6 4 3 3 6 9 13 14 15 16 16 18 19 20 20 19 17 15 14 12 11 10 10 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 5 5 nan
nan 6 6 7 7 7 7 6 6 6 6 7 8 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 8 9 11 11 10 8 8 7 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 6 3 1 2 6 10 13 14 15 15 17 18 19 18 17 16 15 14 13 12 12 12 11 11 11 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 9 9 9 9 8 8 9 9 9 8 7 7 6 6 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 7 7 7 8 8 9 10 10 11 12 12 11 10 9 9 9 10 10 10 9 9 9 9 9 8 7 6 7 8 9 9 9 8 8 7 7 7 8 7 7 6 7 8 9 10 11 12 13 12 11 9 8 7 7 7 8 8 8 9 9 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 4 1 -0 2 7 11 12 12 12 13 14 14 13 13 13 13 13 13 13 13 13 13 12 12 13 14 14 14 14 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 nan
nan 10 9 8 8 8 9 9 9 9 10 10 10 10 11 12 13 12 11 10 10 11 11 10 10 9 9 9 9 8 8 7 7 8 9 10 10 10 10 8 7 6 7 7 7 7 8 9 10 11 11 11 12 12 11 10 8 8 8 8 7 7 8 8 9 9 8 8 8 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 7 7 7 8 8 7 4 1 1 4 7 9 8 8 9 9 10 10 11 12 13 14 15 15 15 14 14 14 14 15 15 16 16 17 17 16 16 15 14 14 13 13 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 13 13 12 12 12 11 11 10 10 10 9 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 12 11 10 10 10 10 10 10 11 11 10 9 9 9 10 12 12 12 11 11 11 11 10 9 9 9 9 9 9 8 9 9 9 9 9 10 11 10 9 7 6 7 7 7 7 8 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 8 9 9 6 3 -0 1 3 6 7 7 8 9 10 11 12 13 15 16 16 16 16 15 15 15 15 15 16 16 17 17 17 16 16 15 15 15 14 14 14 13 13 12 11 10 9 9 8 9 9 9 9 9 9 10 10 10 11 12 13 14 15 14 14 14 13 12 11 11 10 10 9 9 8 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 13 13 12 11 11 11 11 11 11 11 10 8 7 7 8 10 11 12 11 11 11 10 9 9 8 8 8 8 8 9 10 10 10 9 8 9 9 9 8 7 6 6 6 7 7 8 9 10 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 9 9 8 9 10 10 10 10 10 8 4 -1 -2 -1 2 5 8 10 11 12 14 15 15 15 16 16 16 15 15 14 14 14 14 13 14 14 14 13 13 13 13 13 13 13 13 14 14 14 14 13 11 10 9 9 9 9 10 10 10 10 10 10 10 11 12 14 15 16 16 16 15 14 13 12 11 11 10 10 9 8 7 7 6 6 7 7 7 6 6 6 6 6 6 5 5 5 5 nan
nan 12 13 12 12 11 11 11 11 11 10 9 7 7 7 7 9 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 6 5 5 6 7 7 7 9 10 10 8 7 6 6 7 8 8 8 7 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 9 5 1 -2 -3 -1 1 4 6 8 11 13 14 15 14 13 13 12 12 12 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 10 11 12 13 13 12 11 10 9 9 9 10 10 10 10 10 10 9 9 10 11 13 14 16 17 17 16 15 14 12 12 11 11 10 9 8 8 7 7 7 8 8 7 7 7 7 7 7 6 6 5 5 5 nan
nan 12 13 13 12 11 10 10 9 9 8 7 7 7 8 9 10 10 10 10 9 9 9 9 8 8 7 8 9 9 9 8 7 6 7 7 8 8 8 7 5 5 6 7 8 8 8 8 9 8 7 6 5 6 8 8 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 10 9 8 6 3 1 -1 -1 0 1 1 3 5 8 10 11 9 8 8 8 8 7 7 6 6 5 5 4 4 5 4 5 5 5 5 5 6 7 8 9 10 10 9 9 8 8 8 9 9 10 10 10 10 9 9 9 10 12 13 15 16 17 16 16 15 14 13 12 11 11 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 nan
nan 12 13 13 12 11 9 8 7 7 6 6 7 7 9 10 11 11 10 10 9 9 9 9 9 8 8 9 9 10 10 9 7 6 6 7 8 9 8 6 5 5 6 8 9 9 8 8 8 7 7 6 7 8 9 8 7 7 6 6 6 5 4 4 5 7 8 9 8 8 8 8 8 9 9 9 9 8 9 9 9 8 8 9 10 11 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 8 6 4 2 2 0 -3 -4 -3 -0 4 7 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 9 9 10 12 14 15 15 15 15 15 15 14 13 12 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 12 13 13 11 9 8 7 6 6 6 6 6 7 8 10 12 11 10 10 10 9 9 8 8 8 8 8 9 9 10 9 8 7 7 8 8 8 7 4 4 5 7 9 10 10 9 9 8 8 8 8 8 9 9 8 7 7 6 5 4 3 3 4 6 8 9 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 11 10 9 8 8 8 8 7 7 8 8 8 8 8 9 10 10 9 8 7 6 4 0 -3 -6 -5 -1 2 4 5 5 5 5 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 6 6 7 7 7 7 7 7 7 7 8 9 10 12 12 13 14 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 nan
nan 11 11 12 11 9 7 7 6 6 5 6 6 7 8 11 12 12 11 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 4 3 4 6 9 11 11 10 10 9 9 8 8 8 9 9 8 8 8 8 7 6 6 6 7 8 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 10 9 7 7 7 7 7 7 7 8 9 8 8 8 9 10 10 10 10 9 8 7 5 2 -3 -6 -5 -3 0 2 4 4 4 4 3 3 4 4 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 9 10 11 11 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 9 9 nan
nan 9 10 11 11 10 9 8 7 6 6 6 6 7 9 11 12 11 10 10 10 10 9 8 7 8 8 8 8 8 9 9 10 10 9 9 7 5 4 4 6 8 10 11 11 10 10 10 9 8 7 7 7 7 8 9 9 9 9 10 11 12 12 12 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 10 9 7 6 6 6 6 7 8 8 9 9 8 8 9 9 10 10 10 10 9 9 8 7 5 1 -4 -6 -6 -4 -1 1 2 3 3 2 2 2 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 5 6 7 8 8 9 10 11 10 10 10 10 11 12 12 12 12 13 13 12 11 10 9 8 8 8 8 8 8 9 nan
nan 9 9 10 11 11 10 9 8 7 6 6 6 7 9 11 12 11 10 9 9 9 9 8 7 7 7 7 7 8 8 9 9 10 10 9 7 6 7 8 8 9 9 9 9 10 10 10 8 7 6 6 7 8 9 9 9 9 11 13 13 13 13 13 13 11 10 9 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 7 6 6 6 6 7 7 8 9 9 9 8 9 9 9 9 9 10 10 9 9 8 8 7 4 1 -2 -5 -6 -4 -2 -0 2 2 2 2 2 2 3 4 5 5 5 5 6 6 6 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 6 6 7 7 7 7 8 8 9 10 12 12 13 13 13 12 12 11 9 9 8 8 8 8 8 9 nan
nan 9 9 10 11 11 10 9 8 7 6 5 6 7 8 9 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 9 11 11 11 10 9 9 10 10 10 9 8 7 8 9 10 9 8 7 7 7 7 8 10 9 8 9 11 13 13 13 13 14 13 12 10 8 8 8 9 10 9 9 9 9 9 9 9 9 10 11 10 9 8 7 6 6 6 6 7 7 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 8 7 6 3 0 -3 -4 -4 -3 -1 1 2 1 1 0 1 3 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 9 11 12 12 13 13 12 11 10 10 9 9 9 9 9 9 nan
nan 9 9 10 11 11 10 9 8 7 6 5 6 6 6 7 8 9 9 8 7 7 6 6 6 7 8 9 9 9 10 11 12 13 12 10 10 11 12 12 12 10 9 8 8 8 8 8 8 9 8 7 7 8 9 8 8 9 12 13 13 12 12 12 12 11 10 9 8 9 10 10 10 10 11 11 11 10 10 11 11 11 10 9 8 7 7 6 6 7 7 7 8 8 8 8 7 7 7 8 8 9 10 10 10 10 9 9 9 9 8 7 5 3 1 -2 -3 -2 -0 1 1 -1 -2 -1 1 3 4 4 4 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 4 5 7 8 9 10 11 12 12 12 11 10 10 10 10 9 9 9 nan
nan 8 8 9 10 10 10 9 8 8 7 7 6 6 6 7 8 9 9 9 8 7 6 5 5 7 8 9 10 10 10 11 12 13 12 11 11 12 12 13 12 10 9 9 8 7 7 7 8 9 8 6 6 7 8 8 7 8 11 12 12 11 10 9 8 8 8 8 8 8 9 9 10 11 11 11 11 11 12 12 11 10 9 9 8 7 7 7 7 8 8 7 7 7 7 6 6 6 8 9 9 10 10 10 9 8 8 9 9 9 9 9 8 7 6 3 1 -0 -0 1 1 -1 -3 -4 -3 0 3 4 4 5 5 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 8 8 7 7 6 6 6 6 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 9 9 9 8 7 7 6 6 7 9 10 11 10 10 9 7 5 5 6 8 9 9 9 9 10 10 11 12 12 12 12 12 11 9 8 8 7 6 6 7 9 9 8 5 5 6 7 7 7 6 8 10 11 11 10 8 7 6 7 7 7 7 6 6 7 9 11 11 11 11 11 12 12 11 10 9 9 8 7 7 7 8 9 8 7 7 6 6 6 6 8 9 10 10 10 10 9 8 7 7 8 9 9 9 9 9 9 8 7 5 4 3 3 3 1 -2 -5 -6 -2 3 4 5 5 6 7 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 11 nan
nan 10 10 9 9 10 10 10 9 8 8 7 6 6 7 7 9 10 11 11 11 10 9 8 7 7 7 8 9 9 8 8 9 10 11 12 11 11 11 9 7 6 6 6 7 8 9 10 10 7 5 6 7 8 8 7 7 8 9 10 10 10 9 7 6 6 6 6 5 4 3 4 7 10 11 11 11 11 11 10 10 9 9 9 8 7 7 7 8 9 9 8 7 7 6 6 6 6 7 9 10 10 9 8 8 7 8 8 8 9 9 9 10 10 9 8 8 8 7 6 6 4 0 -4 -6 -2 3 4 5 6 6 7 8 9 10 11 11 12 12 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 nan
nan 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 8 9 11 12 11 11 10 10 9 8 7 7 9 9 8 8 8 9 10 10 10 10 10 9 7 7 7 8 8 9 10 10 9 7 7 8 9 9 8 8 8 9 9 9 10 11 10 8 6 5 4 4 4 2 1 3 5 7 9 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 9 9 9 8 7 7 6 5 5 6 8 9 8 8 8 8 8 7 7 8 8 9 10 10 10 9 8 8 8 8 7 4 0 -3 -2 1 3 4 5 6 6 7 8 10 12 13 13 14 14 14 13 13 12 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 7 7 8 8 8 8 8 9 nan
nan 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 10 12 12 10 10 9 9 8 7 7 8 9 8 8 8 8 9 9 9 10 10 10 9 9 10 10 9 9 8 9 8 7 7 9 9 9 8 8 9 10 9 9 10 11 10 8 5 4 4 3 2 1 1 2 3 5 7 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 10 9 9 8 7 6 5 6 7 8 8 8 8 8 8 7 7 7 7 8 10 10 10 9 8 8 8 8 6 3 -1 -2 1 3 4 3 4 5 6 7 9 11 13 15 16 17 17 17 16 15 14 13 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 7 8 nan
nan 8 8 7 7 7 6 6 7 8 9 9 9 9 9 9 8 8 9 11 11 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 9 8 7 7 6 6 7 8 9 8 8 8 9 9 9 10 10 10 9 7 6 6 5 4 2 2 3 3 4 4 6 7 8 8 9 9 9 9 9 8 8 8 7 7 8 9 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 11 10 9 8 8 7 5 2 -1 0 4 5 4 2 3 4 5 7 9 11 13 15 17 19 20 21 20 19 17 15 14 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 11 11 12 12 12 11 9 9 8 8 8 8 8 8 8 8 8 8 7 nan
nan 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 9 8 7 6 6 7 8 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 7 7 6 6 7 7 8 9 8 8 8 9 9 9 9 9 9 8 7 7 7 7 6 6 6 6 5 5 6 7 7 7 8 8 9 10 10 10 9 8 7 7 7 7 8 9 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 7 8 8 7 8 8 9 10 10 10 9 8 7 5 3 2 4 6 6 3 1 1 2 4 7 9 11 12 15 18 21 23 24 24 23 21 18 16 14 13 11 10 9 9 9 9 9 9 10 10 10 9 9 8 6 6 6 8 10 13 17 19 20 19 18 16 14 11 10 9 9 8 8 8 8 9 9 9 8 nan
nan 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 6 6 6 7 8 8 8 8 9 10 11 10 9 10 11 11 10 9 8 7 7 7 8 9 9 9 9 9 8 9 9 9 9 9 8 8 7 7 7 8 9 10 10 9 8 7 7 8 9 8 7 7 8 9 10 11 10 8 7 6 7 7 7 8 8 9 9 8 8 8 8 8 6 6 6 8 8 9 9 9 8 7 7 7 8 8 8 8 9 10 10 10 8 7 6 6 6 7 8 7 4 2 -0 -1 1 5 8 10 11 13 17 21 24 26 27 26 25 22 20 17 15 12 11 10 10 9 9 9 10 10 10 10 9 7 6 5 5 6 9 12 17 23 29 32 32 29 25 21 17 14 12 11 10 9 9 9 9 10 10 9 nan
nan 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 7 6 6 7 8 9 9 8 8 9 9 10 9 8 9 11 12 11 10 8 8 8 9 10 11 11 10 10 9 9 9 9 9 8 9 9 9 8 8 9 10 12 13 11 9 7 7 8 10 10 9 8 7 7 8 10 10 9 8 7 7 8 8 9 8 8 8 8 8 8 8 9 7 6 5 6 7 8 8 9 10 9 8 7 7 8 8 8 8 8 9 10 10 9 8 7 8 9 9 9 8 6 4 -0 -3 -2 3 8 10 10 12 15 19 22 26 28 29 28 27 25 21 17 14 12 11 10 10 10 10 11 11 10 9 7 6 4 4 4 5 8 11 17 26 35 41 41 38 33 28 23 20 16 14 13 12 11 10 10 10 10 10 nan
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nan 6 7 7 8 9 9 9 8 8 7 8 8 9 9 10 10 10 10 9 8 8 8 7 7 7 7 6 6 7 7 8 8 9 8 9 9 9 7 6 7 10 11 11 10 11 11 11 11 10 9 8 8 9 9 10 10 9 8 9 10 11 11 11 10 11 12 11 9 7 5 6 8 9 8 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 8 7 8 9 10 9 9 8 7 5 1 -2 1 8 10 11 11 10 12 14 18 22 26 30 34 34 32 29 24 21 19 18 17 17 17 15 11 8 6 5 4 4 4 3 2 2 2 5 9 16 22 26 29 30 30 30 29 27 24 22 19 17 15 13 12 11 11 nan
nan 6 7 8 9 10 10 10 10 10 9 10 10 9 9 9 8 8 8 8 7 6 7 7 8 8 7 7 6 6 6 6 7 8 8 9 9 9 8 6 7 8 10 11 12 12 11 10 9 8 8 8 8 9 10 11 12 10 9 9 10 10 10 10 10 10 10 9 8 6 6 8 9 8 7 6 6 6 7 8 8 8 8 8 8 9 10 9 9 8 8 9 9 10 9 9 9 9 9 8 8 8 7 6 5 4 5 5 5 5 6 7 7 8 8 8 9 9 9 8 7 8 8 8 7 6 7 7 7 5 4 5 8 10 11 10 9 10 11 14 17 21 26 31 34 35 35 32 29 27 27 26 23 19 15 10 7 6 6 6 6 5 5 3 2 2 2 3 6 10 15 19 23 26 29 30 31 30 28 26 22 19 16 14 13 12 nan
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nan 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 13 12 10 8 7 7 7 8 8 9 9 10 10 9 8 8 8 8 9 10 10 9 9 10 10 9 8 8 9 10 10 10 9 8 8 8 8 8 8 8 7 6 5 6 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 nan
nan 8 9 9 8 8 9 9 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 14 14 12 9 7 7 7 7 8 8 8 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 7 6 6 7 8 9 9 9 9 9 9 8 8 7 7 6 5 5 5 6 6 6 6 5 5 5 5 5 7 8 8 8 9 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 12 12 13 14 13 11 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 10 10 11 11 10 7 5 5 6 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 8 7 7 8 8 7 6 5 5 5 5 5 5 7 10 10 10 9 9 10 11 11 12 12 11 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 nan
nan 9 9 10 9 9 8 7 6 7 7 8 9 9 10 10 10 10 9 9 9 9 10 9 9 8 8 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 10 10 11 11 12 12 13 12 10 10 9 9 8 8 8 7 7 8 9 9 9 9 9 10 9 9 9 9 10 12 13 12 10 8 7 7 8 7 5 5 6 7 9 9 9 9 8 7 7 8 8 9 9 9 9 10 10 10 9 8 8 6 4 4 7 10 11 10 9 10 11 11 12 12 12 11 11 10 10 10 10 10 9 9 9 8 7 7 7 7 7 7 nan
nan 8 8 9 9 8 8 7 6 6 6 7 7 8 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 10 11 11 12 12 11 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 9 10 12 13 13 12 11 10 10 9 7 5 4 5 6 8 9 9 9 9 8 7 7 8 8 8 8 7 6 7 7 8 9 9 8 6 6 9 12 12 11 10 10 11 12 12 12 12 11 11 10 10 10 9 9 9 8 8 7 7 6 6 6 6 7 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 10 10 11 11 11 10 10 9 8 8 9 10 10 9 10 10 10 10 10 10 9 8 8 7 8 9 10 11 12 12 11 11 11 10 8 6 4 5 6 7 8 9 9 9 8 7 7 8 9 9 8 6 4 3 2 3 5 6 7 7 9 12 13 13 12 11 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 7 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 9 9 9 9 10 10 11 11 11 11 11 9 8 8 9 11 10 9 9 9 9 10 10 10 9 8 8 8 9 8 8 8 9 10 10 10 10 10 8 6 6 6 7 8 8 8 8 9 8 8 8 8 9 10 9 8 6 4 3 2 3 4 6 7 10 12 13 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 10 10 10 10 10 9 9 10 10 10 9 9 9 10 10 11 11 12 12 11 10 9 9 9 10 10 9 9 9 9 10 10 9 9 8 8 9 9 8 7 7 8 9 9 10 10 9 9 8 7 7 8 8 8 8 9 9 9 8 8 8 9 9 10 9 9 8 7 6 6 6 7 8 10 11 11 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 8 8 7 7 7 7 8 9 10 10 9 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 9 9 8 7 8 9 9 9 8 7 8 8 9 9 9 10 9 9 8 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 6 5 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 8 8 8 7 6 7 7 8 8 8 8 8 7 7 6 6 6 7 8 9 10 11 11 11 10 9 8 7 7 8 9 10 11 11 11 10 10 10 10 11 10 10 8 8 8 9 9 10 10 9 9 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 8 8 7 7 7 8 8 7 8 8 8 7 7 7 6 6 6 6 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 6 3 2 2 3 4 6 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 8 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 7 7 6 6 7 8 10 11 11 11 10 9 8 7 8 9 10 10 11 12 12 11 10 10 11 11 10 9 7 6 6 7 8 9 9 9 8 7 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 10 9 9 9 8 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 4 3 1 1 1 2 5 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 7 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 7 8 9 10 10 9 8 7 7 8 9 10 10 11 11 12 11 11 11 11 11 12 11 10 8 7 6 6 7 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 9 9 10 11 12 11 11 10 10 10 10 10 11 10 10 10 10 9 9 10 10 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 7 7 8 8 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 6 6 5 4 2 1 2 5 7 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 6 7 8 8 9 9 10 11 12 12 12 12 13 13 13 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 8 7 6 7 8 9 9 10 10 10 10 10 10 11 12 12 13 12 12 11 9 8 9 9 9 9 9 9 8 7 7 8 9 10 10 10 9 8 9 9 10 10 9 10 10 10 10 9 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 9 9 8 8 8 8 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 9 8 8 8 8 8 7 6 3 2 2 5 7 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 11 12 13 14 15 15 15 15 15 15 14 12 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 7 7 8 9 9 9 9 10 11 12 13 13 13 13 12 11 10 11 12 12 12 11 10 9 8 8 8 10 10 10 9 9 8 9 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 10 11 10 10 9 10 10 9 9 9 8 8 9 9 10 11 12 11 11 10 10 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 9 9 8 8 8 9 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 9 8 8 9 10 10 9 6 4 2 3 6 9 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 8 9 10 11 11 12 13 14 14 15 16 16 16 15 13 12 11 10 10 10 10 9 9 9 8 9 9 9 9 8 6 6 7 8 8 8 9 10 10 11 12 12 12 12 12 12 11 12 13 14 13 12 11 10 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 10 9 9 10 9 9 9 8 7 8 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 10 10 10 9 9 8 8 8 9 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 8 5 3 2 5 9 10 10 10 10 11 11 10 10 11 11 11 10 10 10 10 11 11 10 9 9 8 9 9 9 10 10 10 10 10 11 11 13 14 15 15 14 13 11 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 7 8 9 10 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 9 9 9 10 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 9 8 8 9 10 9 9 9 10 10 10 9 8 7 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 8 9 10 11 10 10 9 9 8 8 8 8 9 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 7 4 2 4 8 10 11 11 11 11 10 10 10 10 11 11 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 7 6 6 7 8 11 15 16 15 14 12 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 7 7 7 8 8 9 10 10 9 9 9 10 10 10 10 10 10 10 11 12 12 11 10 9 9 10 10 10 9 9 9 9 9 9 10 11 11 10 10 11 11 11 10 9 8 8 9 9 9 9 9 10 10 11 9 8 8 9 10 11 12 11 10 9 9 9 10 10 11 11 11 11 11 10 10 9 8 7 5 6 8 10 11 11 10 9 9 8 8 8 8 8 9 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 8 5 5 7 10 11 12 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 7 5 4 4 5 7 12 15 17 17 16 14 12 11 10 10 10 10 10 10 10 11 11 11 11 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 10 11 12 11 11 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 9 10 11 9 8 8 9 11 12 11 10 9 9 8 9 9 10 11 11 11 11 11 10 10 10 9 7 5 6 8 10 11 11 10 9 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 8 8 8 8 8 8 10 14 16 15 13 10 9 11 12 12 11 10 10 10 10 10 10 9 8 8 9 9 10 10 10 9 9 8 8 7 7 7 8 10 11 11 10 8 7 6 7 10 13 15 18 19 18 16 14 13 12 12 11 11 10 11 13 14 13 12 11 11 10 9 8 7 7 8 8 9 10 10 10 10 10 10 9 9 10 11 11 10 9 9 9 10 10 10 10 11 11 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 9 10 10 9 8 7 8 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 8 7 7 8 9 10 10 10 9 8 8 8 8 8 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 12 10 8 8 7 7 8 9 12 17 21 23 20 15 12 13 13 12 11 10 11 11 11 11 10 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 7 9 12 14 13 12 11 10 9 10 11 12 14 16 17 16 16 14 13 12 11 10 10 11 14 15 14 13 12 12 12 11 10 10 9 8 7 7 7 9 10 10 10 9 9 9 9 9 8 8 9 10 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 7 7 7 9 11 10 9 7 7 7 8 9 9 10 10 10 9 9 9 10 10 11 11 11 11 10 10 10 10 9 8 7 6 7 9 10 10 10 9 8 8 8 8 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 13 12 11 9 7 7 7 9 11 15 20 24 26 22 16 13 13 13 13 11 10 11 11 10 9 9 8 7 7 7 8 8 9 9 9 9 9 8 7 6 5 5 7 10 12 12 12 11 10 10 10 10 10 11 12 12 13 13 13 11 10 9 8 8 10 11 12 12 12 12 11 11 11 11 11 11 10 8 7 7 8 9 10 10 9 9 9 9 8 8 8 9 11 12 12 11 10 10 9 8 8 8 8 7 7 8 9 9 9 9 10 10 10 9 9 8 8 8 7 7 8 9 10 10 9 8 7 8 9 9 9 11 11 10 10 9 9 10 11 11 11 11 10 10 9 10 10 10 9 7 5 6 8 10 11 10 10 9 9 9 9 9 9 nan
nan 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 12 12 12 10 8 7 7 9 11 15 19 22 24 24 19 13 11 11 12 12 11 10 9 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 5 4 5 8 10 10 10 10 9 8 8 9 9 9 9 10 10 10 9 8 7 6 6 6 7 7 7 8 9 10 10 9 9 10 12 13 12 11 10 10 10 10 10 10 9 9 10 10 9 9 9 10 12 12 12 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 7 8 9 9 9 10 10 11 11 10 9 9 10 10 10 10 11 10 10 9 9 9 10 11 11 11 10 10 9 9 9 10 10 9 6 6 7 10 12 12 12 11 11 10 9 9 9 9 nan
nan 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 11 13 13 13 11 9 8 8 10 13 16 19 20 21 19 15 10 9 9 11 12 11 10 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 8 7 6 5 4 5 6 8 9 10 9 7 4 4 5 7 8 8 8 8 8 7 6 5 4 4 4 5 5 6 7 8 9 9 9 9 10 11 12 12 12 11 11 12 11 11 10 10 10 10 10 9 9 9 10 11 11 11 10 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 9 8 8 7 8 9 10 11 12 12 12 13 13 13 12 11 11 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 9 8 8 9 12 14 14 13 13 12 11 10 10 9 9 nan
nan 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 10 13 14 13 12 10 9 9 11 13 15 16 16 16 14 10 8 7 8 11 12 12 11 10 10 8 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 7 6 4 4 6 7 9 11 11 7 2 -1 -0 3 6 7 8 8 7 7 6 5 5 5 5 5 6 7 8 9 10 10 10 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 9 9 8 9 10 10 10 10 10 9 8 8 8 8 9 10 10 11 12 12 12 11 11 10 8 7 7 7 8 9 10 12 13 13 14 14 14 13 12 11 10 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 10 10 11 10 9 9 10 13 14 15 15 14 13 13 12 11 10 10 nan
nan 9 9 8 8 8 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 10 11 12 13 11 10 10 10 11 12 12 13 12 11 9 7 6 7 8 10 10 11 11 12 12 12 11 10 9 8 9 9 9 9 9 9 9 9 9 10 10 9 9 7 6 6 7 9 12 13 9 4 -1 -3 -2 0 3 6 7 7 7 6 6 6 7 7 7 8 9 10 11 11 11 11 10 9 8 7 7 7 7 8 8 9 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 7 7 7 8 9 9 10 10 11 11 11 10 10 9 8 7 6 7 7 8 9 10 11 12 13 14 14 13 12 11 9 8 8 7 8 9 10 10 10 10 9 10 10 9 9 9 9 10 10 11 11 11 10 10 10 12 14 15 16 15 15 14 13 13 12 12 nan
nan 9 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 9 9 10 11 12 13 12 11 10 10 10 9 10 10 10 8 6 4 4 6 8 9 9 8 9 10 11 13 14 14 13 11 10 11 11 11 10 10 10 11 12 12 12 12 12 12 11 10 9 8 10 12 13 11 7 3 -1 -4 -3 -1 3 6 7 7 7 8 8 8 8 9 9 10 11 11 11 11 10 9 8 8 7 7 7 7 7 6 5 5 5 6 7 7 7 7 6 6 6 6 6 6 6 5 4 4 5 6 8 9 9 10 9 9 9 9 9 8 7 6 6 6 7 7 8 9 10 11 12 13 13 13 12 11 10 9 8 7 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 10 9 10 11 12 14 16 16 16 16 15 15 15 14 nan
nan 8 8 8 8 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 10 12 14 15 14 12 10 9 9 9 9 9 8 6 4 2 4 7 9 9 8 8 8 9 10 11 12 13 14 13 13 13 13 12 11 11 11 11 12 13 14 14 14 14 13 12 10 9 10 13 13 12 10 8 4 -0 -3 -3 0 4 6 6 7 8 9 9 9 9 9 10 11 11 10 11 11 11 11 11 10 10 9 9 8 7 6 5 4 4 5 6 7 7 7 6 6 6 6 6 5 4 2 1 2 3 5 7 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 9 10 11 12 13 13 12 11 10 10 9 9 8 8 8 9 10 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 13 14 16 17 17 17 16 16 16 nan
nan 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 9 10 12 15 16 16 13 11 10 9 9 9 8 7 5 2 2 5 7 9 8 8 8 8 9 9 9 10 12 13 13 13 14 14 13 12 12 11 11 11 11 12 13 14 14 13 12 10 9 11 13 14 13 12 11 9 5 1 -2 -1 3 5 6 6 7 8 8 8 8 9 9 10 10 10 11 12 14 15 14 13 13 12 12 12 11 11 10 8 7 7 8 8 8 7 7 7 7 7 7 7 5 4 3 2 1 1 2 4 6 7 8 8 8 8 8 7 6 6 6 6 7 8 9 9 10 11 12 12 11 11 10 9 9 9 9 9 9 9 10 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 13 15 15 15 15 16 16 nan
nan 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 11 14 17 17 14 12 10 9 9 9 7 6 3 1 1 4 6 7 7 7 8 8 7 7 7 8 9 10 11 12 13 14 14 13 13 12 11 9 6 5 6 8 10 11 10 9 9 12 14 14 13 13 12 11 8 3 -0 0 3 5 6 6 6 6 6 7 7 7 8 9 9 10 10 11 12 15 16 16 15 14 14 14 14 14 14 12 11 10 10 10 9 9 8 8 9 9 8 8 8 7 6 5 3 -0 -1 1 3 6 7 8 9 9 9 7 7 6 6 6 7 8 8 8 9 11 11 11 11 11 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 9 10 11 11 11 12 12 13 nan
nan 9 10 10 10 10 11 10 11 11 11 11 11 11 11 10 10 10 10 9 9 10 13 17 18 16 13 10 10 10 9 8 6 2 -0 0 2 5 7 7 8 8 8 7 6 6 6 7 8 9 10 12 13 13 12 12 12 12 9 4 1 -2 -1 3 7 9 9 10 12 14 14 13 12 12 11 9 4 1 3 5 7 7 6 6 6 6 6 6 6 6 7 8 9 9 9 10 12 14 16 16 16 15 15 15 16 16 15 14 14 13 12 11 10 10 10 10 10 10 10 11 11 10 9 6 3 1 1 2 5 6 8 10 10 9 8 7 6 6 7 7 8 8 8 9 10 11 11 12 12 12 12 11 10 9 8 8 9 9 10 10 10 9 9 10 11 11 11 11 11 11 11 11 10 9 9 9 9 8 7 7 7 7 8 8 9 9 nan
nan 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 12 16 18 17 14 11 10 10 10 9 7 4 0 -0 1 4 7 8 9 9 9 7 6 6 6 7 7 8 9 11 11 10 10 10 13 14 12 8 3 -2 -4 -1 3 6 8 10 12 13 13 12 11 11 10 7 3 1 3 7 9 9 8 8 7 7 6 6 6 6 6 8 9 10 10 10 11 12 14 15 16 16 16 16 16 17 17 17 16 15 14 13 12 12 12 12 12 13 13 14 13 13 12 10 7 4 2 3 5 6 8 10 10 9 8 7 7 7 7 8 8 8 9 10 10 11 12 12 13 14 14 13 10 9 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 12 11 11 10 9 9 10 10 9 8 7 7 7 7 7 7 7 nan
nan 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 11 15 19 19 16 13 11 10 10 10 8 5 2 -0 -0 3 7 9 9 9 9 9 8 7 7 7 7 8 9 10 10 9 9 10 13 16 17 15 12 6 0 -2 -1 1 3 5 8 10 11 11 11 11 10 7 3 1 3 7 11 11 10 10 9 8 8 7 7 6 7 9 10 11 11 11 11 11 11 12 13 13 15 15 15 15 15 16 17 17 16 14 13 12 13 13 13 14 14 15 14 13 12 11 9 8 7 7 7 8 9 9 9 9 8 7 7 7 8 8 9 9 10 10 10 11 12 12 13 14 14 12 10 8 7 8 9 9 10 10 10 10 9 9 9 10 11 12 11 12 12 11 11 10 10 10 10 10 9 9 8 8 8 8 8 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
CAPE
2 2 3 4 4 5 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 2 2 2 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 8 7 10 14 22 32 42 47 47 48 51 57 66 69 74 93 95 91 91 93 98 111 121 129 134 133 130 128 128 131 142 155 142 145 179 241 343 513 616 571 557 555 564 597 603 588 739 932 963 841 787 730 576 367 193 140 141 134 134 143 147 136 135 121 101 78 56 36 26 28 25 11 7 10 21 26 17 5 1 1 3 3 3 3 4 4 5 8 12 13 13 17 29 42 38 47 66 90
2 2 2 3 3 2 2 2 3 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 6 9 15 22 33 42 45 49 56 62 64 65 77 95 95 87 85 87 91 113 127 133 135 132 126 119 121 122 122 120 118 123 137 167 249 350 411 453 469 477 492 520 547 588 648 721 690 640 662 690 581 339 199 163 144 124 117 122 112 127 154 156 133 105 81 61 52 44 32 19 16 18 22 23 14 4 2 2 3 3 3 3 3 2 2 2 2 3 4 6 9 7 2 13 21 32
1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 12 17 25 32 39 51 68 74 67 68 82 93 91 83 81 82 99 126 137 139 137 131 120 113 116 117 116 113 111 113 118 131 183 260 359 434 483 492 465 469 524 515 485 505 493 507 606 681 538 309 214 174 147 116 97 126 124 149 175 176 159 138 120 97 74 55 43 36 32 25 17 11 9 6 4 3 3 4 3 3 3 2 2 1 1 1 1 1 1 0 0 2 3 7
1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 20 27 32 40 84 85 77 77 83 90 90 80 82 93 116 136 141 139 137 129 115 111 111 112 108 104 106 112 116 125 160 234 331 422 478 479 437 424 483 491 473 446 432 481 622 671 515 341 240 192 175 153 138 157 170 186 192 194 192 187 164 132 97 68 54 45 34 25 22 14 10 6 4 4 3 3 4 3 3 2 2 1 1 1 0 0 1 1 0 0 0 2
1 1 1 1 1 1 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 7 14 25 38 38 78 93 94 92 92 93 97 83 88 107 132 146 144 135 131 126 117 110 108 106 101 97 102 109 116 128 158 225 316 404 464 461 416 406 437 455 455 446 458 554 699 703 589 448 292 210 197 161 172 166 154 161 183 199 206 203 178 147 107 83 67 49 37 37 27 14 6 3 4 4 4 6 7 5 3 1 1 1 1 2 1 0 1 1 0 0 0 2
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 2 8 17 40 51 80 103 113 114 111 104 103 96 103 120 138 145 139 128 124 121 116 108 105 106 104 104 108 118 128 140 162 207 277 367 450 438 405 400 415 442 471 487 546 687 801 768 578 336 225 227 222 225 284 218 158 174 198 215 223 217 199 174 145 117 91 67 42 40 29 20 13 10 12 17 16 14 13 10 5 2 2 2 3 6 6 4 3 0 1 0 0 1
1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 4 11 27 46 76 107 122 123 125 120 113 107 109 117 128 134 128 121 118 118 117 113 108 107 109 114 124 136 144 150 161 187 241 329 424 423 410 405 404 419 464 465 549 647 696 673 588 465 354 320 315 346 417 364 247 228 254 284 277 255 229 207 187 163 137 113 71 36 17 18 25 25 31 36 36 33 29 24 16 10 16 11 11 15 15 11 10 3 2 0 0 0
1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 20 43 73 105 129 129 133 136 128 116 103 98 108 120 122 120 117 118 121 122 120 118 122 130 142 152 158 160 161 171 209 302 380 403 394 384 386 393 423 390 406 430 455 492 504 440 366 421 384 385 434 422 357 336 357 339 297 251 222 222 233 218 191 154 100 49 19 24 40 46 52 49 47 48 49 49 44 38 32 17 18 30 32 21 12 7 3 1 0 0
0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 15 35 61 91 126 139 133 134 136 127 109 97 102 115 123 124 121 121 125 133 140 130 134 141 148 156 165 170 166 162 192 271 337 370 378 378 371 367 368 350 314 280 279 302 309 305 352 418 342 299 320 321 341 329 314 292 259 230 213 199 240 238 223 189 146 104 70 72 85 91 90 73 57 55 59 64 63 42 25 27 40 46 48 38 28 18 10 5 2 1
0 0 0 0 0 1 1 2 2 1 1 2 1 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 2 3 3 3 2 2 2 1 0 0 0 0 2 4 4 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 11 29 51 81 119 148 146 140 142 138 121 107 107 115 125 131 133 134 139 149 161 146 141 141 144 149 160 165 165 164 180 221 271 312 338 357 357 345 336 332 299 243 217 211 210 228 244 219 201 212 224 230 255 271 261 240 223 216 220 218 223 231 238 235 223 212 189 159 145 139 130 114 95 72 62 64 58 33 18 23 25 19 48 60 58 44 28 19 11 4
0 0 0 0 0 1 3 4 2 1 2 3 3 4 3 3 4 3 0 0 1 1 1 0 0 0 0 0 0 3 7 6 4 2 1 0 2 3 1 4 4 3 3 3 5 5 3 1 0 0 0 0 1 2 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 27 58 90 108 147 164 166 167 162 136 123 116 119 129 141 151 158 164 173 170 153 143 140 138 138 152 160 165 165 169 184 212 247 280 316 335 327 309 298 277 227 192 187 209 199 184 177 174 187 194 206 227 241 237 218 200 190 193 197 202 210 229 254 263 268 256 225 196 182 181 181 153 108 93 95 79 58 50 28 24 33 60 79 78 62 45 33 19 10
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1 1 1 3 4 4 6 8 10 10 11 14 16 15 15 17 19 17 9 6 4 3 1 0 0 0 1 1 3 6 8 8 6 3 1 0 3 5 6 6 5 3 2 5 4 2 2 2 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 27 59 77 92 108 133 172 190 195 194 177 163 157 159 161 175 173 162 148 139 137 136 143 147 157 167 173 171 166 165 167 173 188 222 264 284 267 241 215 251 246 248 258 252 223 205 198 215 243 271 280 254 236 211 197 196 185 168 162 171 187 206 221 232 241 248 253 250 243 208 173 168 172 170 158 149 137 133 130 130 114 77 59 63 83 69 55 47
2 3 0 1 7 7 7 7 8 9 11 16 16 19 22 24 22 18 11 7 6 4 1 0 1 1 3 3 5 7 6 6 6 6 1 0 2 5 6 8 8 6 5 6 4 3 2 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 16 34 47 59 76 106 153 168 188 208 202 172 147 141 144 156 154 142 124 122 133 133 140 152 159 163 163 160 160 160 162 162 163 175 193 206 215 220 212 222 222 226 233 225 199 178 178 200 223 238 240 230 232 230 229 227 209 180 161 155 162 172 182 197 217 236 242 234 217 193 178 175 178 193 190 191 198 192 188 191 169 127 107 102 127 130 111 95
3 6 6 6 8 9 8 7 8 10 13 17 21 24 25 23 19 16 12 8 4 1 0 1 3 3 4 5 8 7 5 3 4 5 2 1 3 6 8 9 9 9 10 9 6 3 1 0 0 1 1 1 1 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 14 18 24 40 65 110 135 153 167 157 133 131 128 136 137 136 133 134 134 131 130 132 145 153 154 156 156 156 155 158 158 155 153 152 147 147 155 156 160 165 169 169 164 156 153 162 179 195 199 199 190 211 219 217 208 193 181 170 145 140 147 164 190 217 219 214 214 205 191 191 207 201 218 209 204 212 218 207 201 182 169 164 160 158 162 157 136
8 8 8 7 7 8 8 9 11 13 19 22 25 25 22 18 15 15 14 10 4 2 1 2 5 6 4 6 10 8 5 4 4 5 7 9 9 9 9 11 11 11 12 11 8 5 3 2 2 2 1 1 1 1 2 3 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 1 3 5 6 12 25 49 74 102 121 121 118 114 111 118 121 122 121 120 123 129 129 129 137 143 146 150 154 157 152 149 147 144 140 137 138 132 127 124 121 119 125 129 130 129 133 141 153 169 171 171 183 191 194 191 179 164 165 154 136 132 139 157 186 211 194 201 221 231 247 284 270 242 226 205 185 178 176 174 177 178 184 191 189 176 172 178 169
16 12 8 5 3 4 7 9 11 13 21 34 39 34 25 17 13 13 17 13 9 6 5 6 8 9 7 11 13 13 11 8 8 11 12 11 9 8 10 13 16 21 17 12 9 7 5 5 6 7 7 6 5 4 3 4 2 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 37 66 71 69 74 79 81 88 95 104 116 126 131 129 128 129 132 134 137 142 150 149 145 143 142 139 128 121 122 121 116 109 100 101 100 105 108 112 119 126 128 129 128 133 143 149 153 155 148 155 163 155 143 137 141 155 172 192 206 227 249 274 318 377 335 277 235 195 166 156 153 158 166 174 186 195 192 182 180 190 193
21 17 15 10 9 15 26 40 52 61 63 58 46 30 17 11 9 6 13 14 13 11 11 12 13 13 15 19 21 23 24 24 23 20 19 17 13 11 13 17 24 29 20 14 11 11 13 16 14 10 9 10 11 9 5 4 4 4 2 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 1 2 16 33 37 40 66 70 78 88 98 109 119 122 123 123 124 128 131 132 136 140 144 148 151 154 154 151 142 130 120 115 113 108 98 97 97 98 96 99 109 116 113 107 112 118 120 119 122 128 128 137 149 157 151 143 161 182 220 239 239 236 250 274 300 295 282 261 221 184 160 153 154 159 165 176 195 218 230 226 227 226 220
8 10 18 35 47 52 55 59 57 49 39 28 18 10 4 1 0 1 5 8 10 13 14 16 17 20 21 22 22 24 25 26 29 28 25 23 18 15 16 20 26 25 19 16 15 13 13 13 13 12 10 8 6 5 5 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 16 24 39 83 90 96 107 117 118 115 120 125 126 124 124 131 135 143 153 162 168 170 169 170 170 161 153 142 135 131 122 111 102 98 99 103 109 117 121 121 115 116 118 118 115 111 121 130 150 179 206 205 179 241 282 302 301 276 241 246 246 248 267 284 260 220 186 174 168 167 173 175 181 195 224 257 281 292 288 270
1 3 9 26 34 32 28 26 19 8 1 0 1 1 0 0 0 0 1 2 4 7 10 12 14 15 16 17 16 14 15 14 22 21 21 21 18 15 15 20 23 21 20 20 17 13 10 9 11 13 12 8 5 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 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 1 2 5 18 27 45 63 77 89 100 110 108 111 117 120 117 114 124 132 139 145 148 153 157 157 159 159 156 160 159 152 150 142 134 122 115 113 115 123 134 134 133 131 129 126 123 123 114 121 138 178 249 339 382 378 429 445 430 394 340 282 265 248 247 242 234 248 268 232 267 261 235 224 204 194 198 230 272 310 338 352 337
0 0 2 6 6 3 2 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 2 4 5 5 5 7 7 5 6 4 9 12 13 11 8 7 10 18 18 18 19 19 16 12 9 8 10 9 7 4 1 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 13 21 31 40 48 60 70 78 85 89 85 87 91 91 93 97 102 106 110 110 114 120 126 134 139 142 148 146 144 140 137 135 126 129 139 138 135 132 132 131 125 127 128 134 147 185 297 499 586 628 639 606 541 485 436 404 363 349 348 339 366 403 414 391 408 415 388 330 274 245 234 247 278 311 341 376 390
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0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 4 4 4 3 4 6 7 7 7 8 10 12 9 8 9 9 8 9 11 14 12 10 9 8 7 8 10 11 7 4 6 14 28 42 46 44 38 32 28 25 24 26 26 27 26 21 14 6 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 3 10 25 51 73 88 100 110 120 127 127 117 111 95 77 68 52 48 54 68 83 89 87 84 79 82 97 115 124 121 123 126 130 139 165 236 393 591 726 731 622 463 311 171 113 100 91 86 84 87 97 103 119 136 130 103
0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 4 4 4 4 4 3 3 4 5 5 7 9 11 13 11 10 11 9 7 6 8 10 12 13 14 15 14 11 14 12 11 9 10 14 24 42 52 55 52 46 38 31 29 30 28 25 25 23 18 9 5 5 6 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 22 49 67 81 97 119 142 142 144 139 125 104 77 54 44 38 39 46 56 69 73 69 72 85 106 125 125 112 104 106 122 151 195 312 508 775 974 1032 918 687 518 354 244 190 153 122 115 103 98 101 106 113 98 102
0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 4 4 3 3 2 2 3 4 4 6 9 10 11 11 11 12 11 8 8 8 10 13 17 21 23 22 19 19 18 17 16 17 23 29 42 51 57 59 60 57 46 40 34 28 24 22 21 18 13 10 10 13 16 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 12 22 44 63 78 97 131 156 161 165 163 153 139 114 83 59 48 45 50 60 68 66 62 75 98 113 119 107 95 88 94 117 153 191 245 344 544 795 950 940 755 613 508 432 373 318 266 222 167 119 95 91 99 99 117
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0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 3 1 0 0 0 1 1 2 3 5 6 7 8 8 8 8 10 12 12 13 14 15 17 18 19 23 23 23 23 25 25 23 24 22 18 19 32 46 49 48 45 42 41 41 44 46 47 49 51 52 48 42 39 35 30 20 7 3 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 4 7 12 20 29 44 60 75 95 121 151 179 203 224 246 274 304 312 313 371 414 407 374 330 257 198 171 162 156 160 182 203 207 209 217 228 228 196 187 197 210 225 257 329 423 541 654 739 771 740 673 603 508 402 303 213 162
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