Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 6 6 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 10 10 11 11 11 12 12 12 12 11 11 9 8 8 7 8 9 10 11 11 11 11 11 10 9 9 8 8 8 8 7 7 8 8 9 10 12 14 18 21 23 24 24 23 21 19 17 13 11 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 6 4 4 4 5 8 10 11 12 12 11 11 12 14 16 18 19 19 18 19 20 21 20 18 15 12 11 10 10 9 8 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 11 11 12 12 11 11 10 10 9 9 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 5 5 5 6 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 14 14 15 15 15 15 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 9 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 9 8 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 9 9 9 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 9 9 10 10 9 8 7 5 4 3 3 4 4 5 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 14 15 17 21 25 27 26 22 18 15 14 13 13 12 11 10 9 8 7 6 6 7 7 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 9 10 11 nan
nan 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 9 10 11 11 11 11 12 12 12 12 12 11 10 9 8 8 7 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 11 13 16 20 22 24 24 23 22 20 18 15 12 10 9 10 11 11 11 9 8 7 7 7 8 8 8 8 9 9 8 7 5 4 5 6 8 10 12 13 13 13 12 11 12 14 16 18 19 18 18 18 20 21 21 19 15 13 12 11 10 10 9 8 7 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 7 8 8 9 9 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 11 11 12 12 13 13 13 13 13 14 14 15 15 15 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 11 11 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 9 9 8 7 6 4 3 3 4 4 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 14 14 17 20 24 28 27 22 18 15 13 13 12 11 10 9 8 8 8 8 8 9 10 10 11 10 10 10 11 10 9 10 10 10 10 10 9 8 8 7 8 10 nan
nan 7 8 8 8 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 8 8 9 9 10 11 12 12 11 11 11 12 12 12 11 11 10 9 8 8 7 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 11 14 18 21 23 24 24 23 21 20 17 13 11 9 9 10 11 11 11 9 8 7 7 7 7 8 8 9 9 8 7 6 5 5 6 8 10 12 13 14 14 14 13 12 12 14 16 18 18 18 18 18 19 20 21 19 16 14 12 11 10 10 9 8 7 7 7 7 7 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 9 9 10 11 12 12 12 12 12 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 7 6 6 5 5 5 6 7 8 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 13 14 14 15 15 15 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 11 10 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 8 7 5 4 3 3 4 4 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 14 14 15 19 24 29 28 25 20 16 14 13 12 11 9 8 7 8 9 10 11 11 11 11 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 nan
nan 8 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 12 13 13 14 14 14 14 14 13 13 13 14 14 14 14 14 13 12 11 10 10 10 10 10 10 11 11 10 10 10 9 8 8 8 8 8 9 9 10 12 12 12 12 11 11 11 11 12 12 11 11 10 9 8 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 8 8 7 7 8 10 13 16 19 22 24 24 24 23 21 19 16 13 10 9 9 10 11 11 10 8 8 7 7 7 7 7 8 8 8 8 7 6 5 6 8 10 12 14 15 15 15 14 13 13 13 14 17 18 18 18 17 17 19 20 20 19 17 14 12 11 10 10 9 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 5 5 5 6 7 8 9 10 10 9 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 13 14 14 15 15 14 14 14 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 9 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 10 10 9 9 7 6 4 3 3 3 4 5 5 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 11 12 12 12 12 13 13 14 15 17 22 27 29 28 23 18 15 13 12 11 10 9 8 10 11 13 13 12 12 11 12 11 11 11 10 11 11 10 11 11 11 11 11 11 10 10 9 9 nan
nan 9 9 9 9 9 8 8 9 9 9 10 10 11 11 12 13 13 14 15 15 16 16 16 16 15 15 15 15 15 15 15 15 15 14 13 13 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 12 12 12 12 11 10 10 11 11 12 12 11 10 9 9 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 8 8 7 7 8 11 14 17 20 23 24 24 23 22 20 19 16 12 11 10 10 11 10 10 9 8 7 7 7 7 7 7 8 8 8 7 6 6 6 8 10 12 14 16 16 16 16 15 14 13 14 15 17 18 18 18 17 17 18 20 21 19 17 15 12 11 11 10 9 9 8 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 5 5 5 5 7 8 9 10 10 9 8 6 6 5 5 6 6 6 6 6 6 6 6 7 7 8 8 9 10 10 11 11 11 12 12 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 13 13 12 12 11 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 7 6 4 3 3 3 3 4 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 13 13 12 12 12 11 11 11 11 12 12 13 14 16 19 23 28 29 25 21 17 13 12 11 10 10 11 12 13 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 14 14 15 16 17 17 17 17 17 17 16 16 16 16 16 16 15 15 15 14 14 13 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 13 12 11 10 10 10 10 11 11 11 11 10 9 8 7 7 6 6 7 7 7 8 9 9 10 10 10 10 10 10 9 8 8 7 8 9 12 15 19 21 23 23 23 23 22 20 18 15 12 11 11 11 11 10 9 8 7 7 7 7 8 8 8 8 8 7 6 6 6 7 9 12 14 16 17 17 17 16 15 14 14 14 16 17 18 19 18 17 17 18 20 20 19 17 14 13 11 11 10 10 9 8 8 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 8 9 10 10 10 8 7 6 5 5 5 6 6 6 6 6 6 6 6 7 7 8 9 9 10 10 11 11 11 12 12 12 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 14 14 14 13 12 12 11 10 9 9 9 8 8 7 6 6 6 7 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 4 3 3 3 3 3 4 5 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 14 16 20 26 29 27 23 18 14 12 11 10 10 12 13 14 14 14 13 12 12 12 12 12 12 12 11 11 11 11 10 11 9 8 7 8 10 11 13 nan
nan 9 9 9 9 9 9 10 10 11 11 12 12 12 12 13 14 14 15 16 17 17 17 18 18 18 18 17 17 17 16 16 16 16 16 15 15 14 14 13 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 10 9 9 9 10 11 11 11 11 10 9 8 7 6 6 6 6 7 7 8 9 10 10 10 11 10 10 10 9 8 8 7 8 11 14 17 20 21 22 22 22 22 20 19 17 14 12 11 11 11 10 9 8 7 7 7 7 8 8 8 8 8 7 7 6 6 7 9 12 14 16 17 18 18 17 17 15 15 14 15 16 18 19 19 18 18 18 19 20 21 19 17 15 13 12 11 10 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 7 7 7 6 6 5 5 5 6 7 8 9 10 10 9 8 7 6 5 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 10 10 11 11 11 11 12 12 13 13 13 13 14 14 14 14 14 14 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 14 15 15 15 14 14 13 12 11 10 10 9 9 7 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 7 6 4 3 3 2 2 3 4 5 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 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 11 11 11 11 12 11 11 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 14 17 22 25 25 23 18 14 12 10 10 10 11 12 13 14 14 13 13 13 12 12 13 12 12 11 11 11 11 11 10 8 6 6 8 12 16 18 nan
nan 9 9 10 10 10 10 11 11 11 12 12 13 13 13 14 14 15 16 17 17 18 18 18 18 18 18 18 17 17 17 16 16 16 16 15 15 15 14 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 10 11 11 11 11 10 9 8 7 6 6 6 6 7 8 8 9 10 10 11 11 11 10 10 9 8 8 8 9 12 15 18 20 21 22 22 21 21 19 17 15 13 11 11 11 11 10 8 7 7 7 7 7 8 8 8 8 7 6 6 6 7 8 11 14 16 18 18 19 18 18 17 16 15 15 16 17 18 19 19 18 18 18 19 20 20 19 17 15 13 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 9 10 10 10 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 6 6 5 5 6 6 8 9 9 10 9 8 8 7 6 6 6 6 7 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 11 11 12 12 12 13 13 13 13 14 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 13 14 14 15 16 15 15 15 13 13 12 11 11 10 9 8 7 6 6 6 7 7 8 9 9 10 10 10 10 10 10 9 9 8 9 9 9 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 9 8 7 5 4 3 2 3 3 4 4 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 15 17 19 20 18 15 13 11 9 9 9 9 10 12 12 12 12 13 12 12 13 12 11 10 10 10 10 10 10 9 8 8 8 11 15 20 22 nan
nan 10 10 10 10 11 11 11 12 12 12 13 13 13 14 15 15 16 17 17 18 18 18 18 18 18 18 18 17 17 16 16 16 16 16 15 15 14 14 13 12 12 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 10 9 9 10 10 11 12 12 12 11 10 9 8 8 7 6 7 7 7 8 9 10 10 11 11 11 11 10 10 9 8 8 9 10 14 17 19 20 21 21 21 21 20 17 16 13 11 11 10 11 10 9 8 7 7 7 7 8 8 8 8 7 7 6 6 6 8 10 13 16 18 19 19 19 19 18 17 16 15 16 16 17 18 19 19 18 18 18 19 20 20 18 16 14 13 12 11 11 9 8 8 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 8 9 10 9 9 8 7 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 8 9 9 10 10 11 11 11 12 12 12 13 13 13 13 13 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 14 15 15 15 15 15 14 14 13 12 12 11 10 9 8 8 7 7 7 7 8 9 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 9 7 6 4 3 3 3 3 4 4 5 6 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 14 16 17 17 16 13 11 9 8 9 8 8 9 10 11 12 13 13 13 13 12 11 10 9 8 8 8 9 10 9 9 8 9 11 16 20 22 nan
nan 10 10 10 11 11 11 12 12 13 13 14 14 15 15 16 16 16 17 17 17 17 18 18 18 17 17 17 16 16 16 16 16 15 15 15 15 14 13 13 12 11 11 11 11 11 11 12 12 12 13 13 13 12 11 11 10 10 9 10 10 11 12 12 12 12 11 10 9 8 8 7 7 7 7 8 9 9 10 11 11 12 11 11 10 9 9 8 8 9 12 15 17 19 20 21 21 21 20 19 17 14 12 10 10 10 11 10 8 7 7 7 7 8 8 8 8 8 7 6 6 6 7 10 12 15 18 20 20 20 20 19 18 17 16 16 16 17 18 19 19 19 18 18 19 19 20 19 17 15 13 12 12 11 10 9 8 7 7 7 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 9 9 9 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 8 9 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 10 10 9 8 7 6 6 6 7 7 8 8 7 7 6 6 7 7 8 8 9 9 10 10 11 11 11 12 12 12 12 12 13 13 13 13 14 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 13 14 14 14 14 14 14 13 12 12 12 11 10 10 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 10 10 9 8 6 5 4 3 3 3 4 4 5 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 14 15 16 18 17 16 13 10 8 8 7 7 7 8 9 11 14 15 15 14 13 12 11 9 8 7 7 7 9 10 10 10 8 8 9 13 16 19 nan
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nan 16 16 16 17 17 16 16 17 17 16 16 16 16 16 16 16 15 15 15 15 15 15 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 16 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 16 15 15 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 10 10 10 9 10 11 11 11 11 12 12 12 13 13 13 12 12 13 13 13 13 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 13 12 12 12 12 12 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 nan
nan 16 17 17 16 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 16 16 16 15 15 15 15 15 15 16 16 15 15 15 15 16 16 16 16 16 16 15 15 16 16 16 15 16 16 16 16 15 16 15 15 15 15 15 15 15 14 14 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 16 16 16 16 15 15 15 15 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 12 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 13 12 12 13 13 13 13 13 13 13 12 13 13 12 13 13 13 12 12 12 12 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 13 12 12 12 12 12 12 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 12 nan
nan 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 17 17 17 17 16 16 16 16 16 17 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 15 16 15 15 16 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 16 16 16 17 17 17 17 16 16 16 16 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 13 14 14 14 14 14 13 13 13 12 12 12 11 11 10 10 11 11 11 11 12 12 12 12 13 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 13 13 14 14 14 14 14 14 14 14 15 15 15 15 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 17 17 17 16 16 17 17 18 18 18 17 17 17 17 18 18 17 17 17 17 17 17 17 17 17 17 18 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 12 12 13 13 12 12 13 13 13 13 13 13 13 13 14 14 14 15 14 14 14 14 14 14 14 13 12 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 13 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 14 14 13 14 14 13 14 14 13 14 14 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 13 13 13 12 12 13 13 13 13 12 12 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
89 87 86 84 82 84 85 84 86 92 94 91 89 84 80 79 81 87 96 106 111 120 136 144 145 157 173 187 201 221 238 253 260 269 268 259 259 260 257 257 256 255 248 238 226 207 185 168 158 154 152 155 156 157 161 172 171 155 144 143 142 144 157 177 193 196 191 196 206 211 197 174 161 163 169 175 169 156 147 136 124 114 103 87 71 56 49 45 41 34 27 22 19 19 19 18 18 19 25 37 53 67 71 68 54 37 23 17 13 7 2 0 0 1 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 5 8 9 9 7 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 1 1 2 3 4 5 6 7 7 9 10 11 11 10 9 8 9 10 11 13 14 13 13 13 13 14 15 16 18 19 20 20 20 20 19 16 13 12 12 11 10 10 10 10 10 10 10 9 9 9 8 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 10 11 14 16 17 16 13 8 4 2 2 3 3 4 4 4 4 5 5 4 4 4 3 3 2 2 2 2 2 2 2 3 3 3 3 2 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 1 2 2 1 0 0 1 2 5 8 10 9 7 5 4 3 1 0 1 1 2 1 1 1 2 3 6 8 9 9 9 8 9 8 8 7 7 7 7 8 8 7 7 7 6 7 8 9 9 8 7 7 6 7 7 6 5 5 5 5 5 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5 6 5 5 5 4 4 3 3 3 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 1 1 1 1 2 3 3 3 3 3 3 4 5 5 5 5 6 6 7 8 8 10 11 13 15 17 18 19 20 19 19 18 15 12 10 9 8 7 7 7 7 8 7 5 5 7 8 8 9 8 6 6 7 8 8 7 6 5 6 7 7 6 5 5 6 7 7 7 7 6 5 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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
95 93 90 88 87 90 91 90 90 93 94 93 89 86 82 87 94 106 119 125 128 136 144 154 167 176 192 210 224 235 252 269 269 268 273 276 271 275 274 272 273 265 251 236 219 201 177 160 146 141 137 138 141 149 157 160 161 155 149 146 147 153 165 180 195 202 197 195 203 201 184 160 143 134 136 139 138 135 129 121 112 104 94 80 65 53 46 41 37 32 27 25 25 23 15 13 11 18 31 45 63 71 71 60 45 28 18 13 9 4 1 0 1 1 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 4 5 7 9 8 5 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 1 2 2 3 5 6 7 8 9 10 12 14 14 13 11 10 10 10 10 11 12 13 13 13 13 14 16 19 21 21 22 20 20 19 16 14 13 12 10 10 10 10 10 10 9 10 10 9 9 9 9 9 9 8 7 8 8 7 7 8 8 7 8 8 8 9 11 14 16 18 19 17 12 8 3 2 2 3 4 4 4 3 4 4 5 5 4 3 3 3 2 2 2 2 2 2 2 2 3 3 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 1 4 6 7 7 6 7 5 3 1 1 1 1 1 2 2 2 3 5 7 8 8 8 8 8 7 7 8 7 7 6 6 6 6 5 5 5 5 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 2 2 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 1 1 1 1 2 2 3 3 3 3 3 4 4 5 5 5 5 6 6 7 8 9 11 13 14 15 16 17 17 16 15 14 13 12 11 9 9 8 7 7 7 7 7 5 4 5 7 9 10 9 9 8 8 8 8 8 7 5 4 5 6 6 5 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 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
99 96 94 92 93 96 98 95 93 88 88 88 89 90 108 122 135 144 150 158 163 168 173 182 193 204 215 225 233 239 249 257 257 249 243 249 262 273 286 285 291 281 269 247 229 213 191 171 156 143 135 133 136 143 152 159 159 161 160 160 165 171 179 188 200 200 196 193 192 186 167 147 129 119 116 115 116 114 109 104 98 93 83 71 57 50 44 37 32 29 29 27 27 22 18 13 14 24 38 57 70 75 66 52 34 23 15 12 6 2 0 1 1 2 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 3 3 4 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 8 9 10 12 14 15 15 12 10 9 9 9 10 11 12 14 15 16 16 18 20 21 22 21 20 18 17 15 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 11 14 18 20 20 18 13 8 3 2 3 3 3 4 3 3 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 3 3 3 2 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 1 4 6 8 9 10 8 6 3 2 2 2 3 3 3 4 5 6 6 8 8 7 7 7 7 6 6 6 6 6 5 5 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 5 5 5 5 4 4 5 5 5 5 4 3 3 2 2 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 1 1 1 1 2 2 2 3 3 3 3 4 5 5 5 5 6 6 7 8 9 10 12 14 15 16 16 15 16 15 13 11 11 11 11 10 9 8 7 7 6 6 5 4 5 6 6 7 8 8 8 8 9 9 8 7 6 5 5 7 7 6 5 5 6 7 7 6 6 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 4 4 4 4 3 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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
99 97 97 99 99 98 99 99 91 89 88 91 92 117 144 165 181 189 194 203 211 214 215 216 222 228 234 237 239 242 246 248 242 229 211 210 217 239 261 278 291 293 288 275 259 241 220 197 179 161 150 142 143 147 155 160 164 171 175 180 184 187 191 197 198 197 194 186 180 167 150 131 117 109 103 101 98 93 90 87 84 78 70 60 51 46 40 33 28 31 31 28 21 16 14 16 22 33 50 67 80 73 61 44 29 19 13 9 4 0 0 0 1 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 5 6 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 7 7 8 10 12 13 14 12 10 8 8 8 9 10 12 13 15 17 18 19 20 21 21 21 20 19 17 15 14 13 12 11 11 11 11 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 11 12 14 18 21 21 18 12 7 3 2 3 3 3 3 3 3 3 4 4 4 3 3 3 2 2 2 2 1 1 1 2 3 3 2 2 2 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 2 4 6 8 10 10 8 6 5 5 4 4 4 4 5 6 6 7 7 7 6 6 6 6 6 6 5 5 5 6 5 4 4 4 5 5 5 5 5 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 5 5 5 4 4 4 4 3 3 3 2 1 1 1 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 1 1 1 1 2 2 2 2 3 3 4 4 4 5 5 5 5 6 7 9 10 11 12 14 15 16 17 17 16 14 13 11 10 10 10 9 9 8 7 6 5 5 5 4 6 7 6 4 6 7 7 7 8 9 10 8 6 5 4 5 6 7 7 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 4 3 3 4 3 3 3 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 1 2 2
100 97 98 103 102 98 95 93 97 101 113 120 130 154 179 198 215 229 236 243 253 260 259 256 252 249 248 247 248 248 250 249 241 225 202 186 181 200 230 263 285 296 298 296 287 276 255 240 218 199 182 171 168 166 169 168 173 181 187 191 194 192 196 200 201 201 193 182 167 153 137 119 106 98 93 88 83 77 74 72 69 65 59 52 46 41 36 31 29 32 32 26 19 13 15 18 25 44 61 77 79 71 54 35 21 16 14 9 2 1 0 0 1 2 3 3 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 3 4 6 6 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 1 2 2 3 3 4 5 6 7 8 10 12 12 12 11 9 8 8 9 10 12 13 15 16 17 19 20 20 21 21 20 19 17 15 14 13 12 11 11 10 11 11 11 11 11 11 11 12 11 11 10 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 11 12 15 18 20 20 16 11 5 2 2 3 3 3 3 3 3 3 4 4 4 3 3 2 2 2 2 2 1 1 1 2 3 3 2 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 2 3 6 8 8 6 6 6 5 4 4 4 4 5 6 6 6 6 6 5 5 5 5 6 6 6 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 5 4 4 4 5 4 4 3 3 3 3 4 3 2 2 2 2 1 1 1 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 1 1 1 2 2 2 2 3 3 4 4 4 4 5 5 6 6 7 8 9 11 12 15 16 18 20 20 20 18 15 12 10 8 9 9 9 9 7 6 4 4 4 4 5 6 7 7 5 7 7 7 8 9 10 9 7 5 4 4 6 6 5 5 6 6 7 7 7 5 5 5 5 5 5 5 5 5 5 5 4 3 3 4 3 4 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2
102 101 101 102 101 98 95 99 113 132 154 173 187 204 223 240 256 266 277 285 291 299 299 295 288 278 269 263 258 259 260 257 250 239 218 194 181 177 209 248 275 299 303 304 298 291 277 262 244 227 210 198 194 192 197 198 194 194 194 197 192 188 190 198 204 199 190 177 162 145 127 112 100 91 83 77 70 64 61 60 59 56 52 47 43 38 33 29 30 33 28 21 14 17 20 25 40 58 74 82 80 65 46 27 17 13 9 3 1 0 0 1 2 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 1 0 0 1 2 2 3 6 8 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 1 2 3 3 3 3 5 6 7 9 11 10 10 9 8 8 8 9 11 13 15 16 17 17 19 20 21 21 20 19 18 15 14 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 12 15 18 19 17 14 8 5 2 2 3 3 3 3 4 4 3 4 4 3 3 3 2 2 2 2 2 1 1 1 3 3 3 3 2 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 1 2 4 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 4 4 4 4 4 4 3 3 4 4 4 3 3 3 3 3 3 4 4 3 3 3 3 3 3 2 2 2 1 2 2 2 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 3 4 4 4 4 5 5 6 6 7 8 9 10 11 13 16 18 20 21 21 18 16 14 11 10 9 10 10 10 9 7 5 5 5 5 6 6 7 7 6 7 8 7 7 9 10 10 8 5 4 5 5 6 5 4 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 2 2 2
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