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 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 9 9 9 9 9 9 8 8 7 7 8 10 13 16 18 18 17 15 13 10 8 7 7 10 14 18 22 25 26 27 27 27 26 25 24 23 22 21 20 18 17 16 14 13 13 12 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 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 7 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 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 11 11 10 8 7 7 7 7 8 9 10 11 11 12 12 12 11 11 11 11 12 13 13 13 13 14 15 19 24 28 29 30 27 23 20 18 16 14 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 10 10 9 10 10 11 11 11 11 10 9 9 9 9 9 9 8 9 9 10 9 10 10 11 12 11 10 9 9 10 10 10 10 9 8 8 10 12 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 8 8 7 7 9 11 15 17 17 17 15 13 11 9 8 8 10 13 17 21 23 26 27 27 27 26 25 24 23 22 22 20 19 18 17 15 14 13 12 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 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 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 13 13 12 12 11 10 9 8 7 6 7 7 8 9 10 11 12 12 12 12 11 11 11 12 13 13 13 13 13 15 18 22 26 29 29 28 25 22 19 17 15 13 12 11 11 10 10 9 9 9 10 10 10 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 8 9 10 11 11 10 9 9 9 9 10 10 10 9 8 8 9 10 10 10 10 11 12 12 11 10 9 9 10 10 10 10 9 10 12 14 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 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 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 8 7 7 8 10 13 15 16 16 15 14 12 10 9 9 10 12 16 19 22 24 26 27 27 27 26 25 24 23 22 21 20 18 17 16 15 14 13 12 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 6 6 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 13 13 12 10 9 8 7 7 7 7 8 8 10 11 12 12 12 12 11 11 11 12 13 13 13 13 14 15 17 21 24 27 29 28 26 24 21 18 15 14 12 11 11 10 10 10 9 9 10 10 10 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 11 10 8 8 8 9 10 10 10 9 9 10 10 10 10 10 9 9 8 9 10 10 10 11 11 12 12 12 11 9 9 9 9 10 10 11 11 13 15 nan
nan 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 8 8 7 8 9 11 13 15 15 15 15 13 11 10 9 10 12 15 18 21 24 26 27 27 27 26 25 24 23 22 21 20 19 18 16 15 14 13 12 11 11 10 10 9 9 9 9 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 8 8 8 9 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 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 7 6 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 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 8 8 8 7 7 8 8 8 9 10 10 11 11 12 12 13 13 13 13 13 12 11 10 9 8 7 7 7 7 8 10 11 12 12 13 12 12 12 12 13 13 13 14 14 14 15 17 19 22 25 28 29 28 25 23 19 16 14 13 12 11 10 10 10 10 9 10 10 10 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 10 10 11 11 10 9 8 8 9 9 10 9 10 10 10 10 10 9 9 8 8 8 9 10 10 10 11 12 12 11 10 9 9 8 9 10 11 11 11 12 14 nan
nan 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 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 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 9 9 8 8 8 9 10 12 13 14 15 15 14 12 11 10 10 11 13 17 20 22 25 26 27 27 26 25 25 23 22 21 20 19 18 17 16 15 13 13 12 11 11 10 10 9 9 9 9 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 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 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 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 10 10 10 11 12 13 13 13 13 13 12 11 10 9 8 7 7 6 7 8 10 11 12 12 13 12 12 12 13 13 13 14 14 15 15 16 17 18 21 24 28 29 29 27 23 20 17 15 14 12 11 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 11 12 12 10 8 6 7 8 10 10 10 10 10 10 10 9 8 8 7 7 8 9 10 10 11 12 12 11 10 9 8 9 10 10 11 10 10 11 12 nan
nan 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 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 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 9 9 8 8 8 9 11 12 13 14 15 14 13 12 11 10 11 13 16 18 21 24 25 26 27 26 26 24 23 22 21 20 19 18 17 16 15 14 13 12 11 11 10 10 10 9 9 9 9 9 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 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 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 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 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 11 12 13 13 13 13 13 12 12 11 10 9 7 7 7 7 8 9 11 12 12 13 13 13 13 13 13 13 14 15 15 16 16 17 18 19 23 28 30 30 28 24 21 18 16 14 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 12 13 11 9 7 7 8 10 11 11 11 10 10 10 9 8 7 7 7 8 9 9 10 11 12 12 12 11 10 10 11 11 10 10 10 10 11 12 nan
nan 9 9 9 9 9 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 10 10 9 9 9 8 8 9 10 11 13 14 15 15 14 13 12 12 12 13 15 17 20 22 25 26 26 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 8 8 8 8 8 9 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 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 11 12 13 13 13 13 13 13 12 12 11 9 8 7 7 7 8 9 10 11 12 13 13 13 13 13 13 14 14 15 16 16 16 17 17 19 23 27 29 30 29 26 22 19 17 15 13 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 11 11 10 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 8 9 10 12 13 12 10 9 8 8 10 11 11 10 10 10 10 9 8 7 8 8 9 9 9 10 11 12 12 12 11 11 12 12 11 10 9 9 10 12 13 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 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 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 9 9 9 9 9 9 8 9 10 11 12 13 14 15 14 14 13 13 12 13 14 16 19 21 23 25 26 26 26 25 23 22 21 19 18 18 17 16 15 14 13 12 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 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 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 12 13 13 13 13 14 14 13 12 11 10 9 8 7 7 8 9 10 11 12 13 13 14 14 14 14 14 15 16 16 17 16 16 16 18 22 26 29 30 29 26 23 20 18 15 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 10 9 9 8 9 9 10 10 11 11 11 11 11 10 9 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 8 9 11 13 12 11 9 7 8 9 10 10 10 10 10 10 9 8 9 9 9 10 10 10 11 12 12 12 11 10 11 12 12 11 10 8 8 10 13 14 nan
nan 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 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 7 7 6 6 6 7 7 8 9 9 9 9 9 9 9 9 10 11 12 13 14 14 15 15 14 14 13 13 14 15 17 20 22 24 25 26 26 25 24 22 21 19 18 17 16 15 14 13 13 12 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 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 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 10 11 11 12 13 13 14 14 14 14 13 12 11 9 8 8 8 8 9 10 11 12 13 13 13 14 14 14 15 16 17 17 17 16 16 16 18 21 24 28 30 29 27 23 20 18 15 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 9 11 12 12 11 8 7 7 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 11 11 10 9 8 9 12 15 15 nan
nan 11 11 11 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 11 11 10 10 10 9 8 8 8 7 7 7 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 15 14 14 13 14 15 16 19 21 23 25 26 26 25 24 23 21 20 18 17 16 15 14 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 9 9 9 9 10 10 11 11 12 12 13 14 14 14 14 13 12 11 10 9 9 8 9 9 10 11 12 12 13 13 13 13 14 16 17 18 17 17 16 15 15 17 20 24 27 29 29 27 24 21 17 15 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 11 10 9 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 10 11 12 10 8 7 7 8 9 10 9 9 10 10 10 10 10 10 10 9 9 10 11 11 11 11 11 10 11 11 11 10 8 9 13 16 17 16 nan
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nan 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 12 12 12 11 11 12 12 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 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 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 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 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 12 12 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 12 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 13 13 14 13 13 14 14 14 14 14 14 13 13 13 13 12 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 15 15 15 15 15 15 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 12 11 11 12 11 11 12 11 11 12 12 12 12 12 12 12 12 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 13 13 13 13 13 13 13 13 14 13 14 14 14 14 13 13 14 13 13 14 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 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
377 370 369 368 362 347 328 317 302 295 291 294 297 304 314 322 329 336 338 340 342 343 344 347 352 353 354 353 352 353 356 361 362 358 351 343 338 338 340 342 344 349 357 361 361 357 347 334 319 302 285 274 264 259 253 249 243 231 214 193 174 169 162 150 133 120 114 113 114 119 123 128 131 132 132 132 132 131 128 125 122 116 110 106 101 98 94 89 83 78 73 68 63 60 58 58 57 57 56 54 54 55 55 55 57 58 56 55 51 46 43 40 38 36 34 30 27 25 23 19 15 12 9 7 5 2 1 1 3 3 4 4 5 5 5 7 11 16 21 27 31 32 30 28 23 16 9 5 4 7 11 15 18 22 23 12 2 0 0 0 2 4 7 11 15 17 16 13 9 5 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 1 3 6 11 15 17 17 18 20 22 24 25 28 32 37 40 42 44 45 47 48 49 46 46 49 52 54 57 56 52 51 48 42 34 25 21 19 18 18 17 17 17 17 17 17 17 16 15 14 12 10 9 9 9 9 8 8 8 8 7 8 9 9 9 9 8 8 7 5 4 4 4 3 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 1 1 1 1 1 1 1 1 1 2 2 3 3 4 5 7 8 8 9 10 11 13 13 12 12 12 13 13 13 13 14 14 14 14 14 15 15 14 14 13 12 11 10 9 8 8 7 5 3 2 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 6 6 6 6 6 7 8 9 11 11 12 13 13 13 15 16 18 18 18 18 18 18 19 20 21 22 23 23 23 23 24 24 24 24 24 24 25 26 28 33 39 46 55 69 86 104 121 138 155 171 185 195 202 204 205 205 202 197 189 178 173 172 176 183 192 200 205 207 205 200 191 182 175 168 161 157 155 151 145 137 132 128 125 122 118 114 112 110 109 106 102 97 94 91 89 86 84 80 75 71 68 69 73 68 59 50 46 50 60 73 85 93 98 101 101 95 81 64 58 53 49 44 40 42 62 96 134 168 192 201 187 163 136 111 100 86 70 56 44 39 36 35 35 35 38 40 42 42 41 39 36 37 40 43 47 44 39 33 27 24 27 30 33 34 35 35 34 30 26 22 18 16 15 14 13 12 7 3 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0
419 417 418 417 411 399 382 362 342 321 317 313 315 313 318 324 334 340 344 345 345 345 346 348 350 353 354 353 349 347 349 353 351 348 342 336 332 330 328 330 338 349 356 363 369 364 356 348 340 325 312 295 286 275 268 263 256 246 229 208 187 167 156 143 127 112 104 101 100 103 109 116 121 124 127 129 131 132 132 132 130 126 121 116 110 104 98 93 88 82 78 73 69 64 58 58 58 58 59 58 58 59 60 62 63 63 61 58 53 48 43 40 39 37 35 33 30 28 24 21 16 13 10 7 5 3 1 1 1 2 3 5 6 7 7 8 10 14 21 28 33 34 33 32 28 21 12 6 3 4 7 11 15 18 20 17 11 3 0 0 1 3 7 11 16 18 17 13 9 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 2 4 8 13 15 16 16 18 19 21 24 27 31 34 37 39 41 43 44 44 44 43 44 46 47 47 48 45 45 45 41 35 28 22 17 17 17 17 17 16 16 16 16 16 16 15 14 13 11 9 9 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 6 5 4 4 4 3 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 4 5 6 6 7 8 9 9 11 13 14 14 14 14 13 13 13 13 12 13 14 15 16 16 16 15 15 14 13 11 11 10 9 8 7 5 4 3 3 3 3 3 3 4 4 4 5 5 5 4 4 4 5 5 5 5 6 6 6 5 6 6 7 9 10 11 11 12 13 13 12 13 15 18 19 19 19 19 18 19 21 22 23 24 23 23 23 24 24 25 25 25 25 24 25 27 31 37 43 51 63 79 98 117 136 154 170 184 196 201 198 195 190 183 174 164 153 151 156 167 182 194 205 212 214 210 203 190 181 174 167 158 154 151 148 144 138 131 126 123 121 118 113 111 110 109 107 105 100 97 93 90 86 84 80 76 72 68 69 68 63 58 54 51 50 57 68 78 87 94 98 100 95 82 70 62 56 51 46 41 38 48 71 104 141 166 178 175 159 137 116 100 84 67 52 40 33 33 34 34 33 37 40 42 42 40 38 36 36 39 43 44 43 38 33 28 24 26 29 31 33 35 35 34 31 27 24 22 20 18 17 16 13 7 3 1 1 1 1 1 2 2 1 1 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
459 455 454 456 459 453 437 425 408 391 377 364 352 342 335 336 337 346 352 351 349 348 349 350 351 351 351 348 345 342 341 338 337 335 333 330 329 327 326 331 341 349 355 360 357 352 346 340 333 325 317 309 299 289 283 278 271 262 248 228 206 184 166 147 131 114 104 97 96 96 101 106 112 117 123 127 131 135 138 141 142 142 135 128 120 112 105 97 90 85 81 77 72 70 66 62 60 61 60 61 63 64 64 66 68 66 63 59 54 48 44 40 39 38 37 36 33 29 26 22 19 15 12 10 6 3 1 1 1 1 3 6 7 8 10 11 12 15 20 27 33 36 36 37 36 30 20 12 4 3 5 9 14 16 17 16 10 4 0 1 0 1 5 11 15 17 16 12 9 5 3 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 1 3 6 9 12 14 14 15 17 19 23 26 29 32 35 38 39 39 39 39 39 40 41 42 43 41 40 39 40 39 35 29 21 18 17 17 17 17 16 16 16 15 16 16 16 14 12 11 9 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 6 5 5 5 4 3 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 3 4 6 7 7 8 8 9 11 13 15 14 13 13 13 13 13 12 12 12 13 15 16 17 17 16 15 15 14 12 10 10 9 9 8 7 7 6 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 8 8 8 8 8 9 10 11 12 12 12 12 12 14 16 17 19 19 20 19 18 19 22 23 24 24 24 24 25 24 24 24 24 24 24 24 25 27 30 35 41 48 59 75 94 116 138 158 173 187 199 205 201 190 177 166 156 145 135 132 143 161 180 197 209 217 220 217 206 193 184 177 168 159 153 149 146 142 137 130 124 121 120 117 114 111 109 109 108 106 103 99 95 90 86 82 78 75 73 69 68 66 61 58 57 54 54 58 65 75 85 94 97 97 94 86 75 66 59 53 48 43 38 37 50 83 117 145 161 165 156 138 117 98 80 62 46 35 28 27 29 30 31 35 39 41 41 39 36 34 35 38 42 42 40 36 31 26 26 28 31 33 34 35 36 36 32 29 27 26 24 23 21 19 13 6 2 0 0 0 0 0 1 1 1 1 1 1 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
502 487 479 477 474 473 457 444 436 425 406 385 385 374 369 357 355 361 359 357 356 355 356 355 354 352 350 346 341 337 332 329 327 327 327 327 328 328 329 334 342 349 352 347 338 329 325 323 321 318 313 310 304 299 295 292 287 280 267 248 227 208 188 169 151 134 122 110 104 101 103 105 110 116 123 130 137 144 150 155 157 155 149 140 131 122 113 104 96 88 83 79 76 73 71 68 66 65 65 66 69 69 69 70 69 67 63 58 53 47 44 42 40 39 38 37 34 30 27 24 20 16 13 10 6 3 2 1 2 3 3 5 6 8 11 13 14 15 20 26 33 37 39 40 40 37 31 20 12 7 6 9 13 16 16 14 12 7 3 3 3 3 6 11 16 18 17 13 9 5 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 1 3 6 9 11 11 12 14 18 21 25 28 31 34 35 36 36 35 35 36 36 37 38 38 36 35 34 32 31 28 22 18 17 16 16 17 17 16 16 15 15 16 14 13 12 11 9 8 8 7 6 6 7 7 8 8 7 7 7 7 8 8 8 8 8 7 6 5 4 4 4 3 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 1 1 1 2 3 4 4 5 6 8 9 9 10 12 14 15 13 12 12 12 12 12 12 13 13 14 15 16 17 17 17 16 15 13 11 10 10 9 9 8 7 7 7 7 8 8 8 8 9 8 7 8 7 7 7 7 8 8 8 8 7 8 9 8 8 9 10 10 10 11 11 11 12 13 13 12 13 14 16 18 19 19 20 19 19 20 22 24 25 25 25 26 25 25 25 24 23 23 24 24 25 26 29 33 38 44 52 69 89 113 139 164 181 194 202 205 204 192 174 158 143 131 123 121 134 153 174 192 208 217 218 214 205 196 188 181 174 165 156 149 144 141 137 132 126 122 120 118 115 112 110 108 107 106 104 99 94 90 86 81 77 75 72 68 65 66 66 63 59 56 54 56 62 71 84 93 97 97 93 88 80 71 62 54 50 47 42 40 47 65 98 127 148 158 154 138 117 95 75 57 39 30 23 20 20 25 28 32 37 40 39 36 33 31 31 34 37 37 35 32 29 26 27 30 33 34 35 36 37 36 34 32 31 29 28 26 23 18 12 5 2 1 1 0 0 1 2 2 2 0 0 1 1 1 0 0 0 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
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137 138 137 136 136 138 139 141 143 146 149 151 153 160 165 161 159 158 163 171 177 188 190 190 188 186 185 187 190 194 199 204 208 210 209 206 202 199 196 193 190 187 183 181 178 175 171 169 168 167 166 163 158 156 154 152 153 155 160 168 173 178 183 188 194 197 199 199 198 198 195 191 186 180 175 170 167 164 162 161 159 158 156 155 153 151 148 143 139 135 131 126 123 121 118 116 113 109 106 103 102 101 101 101 100 99 99 101 101 102 102 100 98 96 95 94 91 89 86 83 81 80 80 79 79 79 78 78 76 74 72 70 68 66 63 62 60 59 58 56 54 51 48 46 45 44 43 42 43 43 42 42 41 40 39 39 39 40 40 40 39 39 39 38 37 36 34 33 32 29 28 26 25 24 24 24 24 24 24 24 23 22 21 21 20 20 21 23 25 27 28 27 25 22 19 15 11 8 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 7 8 10 10 11 12 12 12 12 12 11 11 11 11 11 10 10 11 11 10 8 6 4 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 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 6 6 6 7 7 7 9 10 11 12 13 13 14 14 14 14 15 16 19 21 21 20 18 15 13 11 11 11 11 9 9 9 10 10 12 12 12 13 14 15 17 17 17 15 15 15 15 15 15 15 15 15 15 15 16 17 19 20 21 21 22 22 22 21 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 24 25 26 26 27 27 27 27 28 27 28 30 31 33 34 37 39 41 42 42 42 43 45 47 46 46 47 48 49 49 49 48 47 47 47 46 45 45 46 49 52 58 65 71 78 84 91 98 103 109 115 123 132 141 150 158 164 166 170 174 182 189 195 196 195 192 183 173 161 148 138 130 126 123 121 116 109 101 99 97 96 96 92 85 77 70 63 57 51 45 42 43 45 51 57 62 66 69 72 77 83 90 97 102 105 105 104 104 104 105 105 103 97 89 79 75 73 73 65 55 45 42 47 62 86 111 130 141 148 151 145 137 129 125 124 127 128 128 127 122 112 91 76 62 48 35 22 12 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 2 5 7 8 8 8 7 5 4 2 0 0 0 0 0 0 0 0 2 5 7 8 6 3 0 0 0 0 0 0 0 0 0 0
132 133 132 131 132 132 133 135 138 142 145 147 147 155 157 155 157 155 152 155 163 170 186 199 199 211 198 199 199 200 202 207 213 215 212 209 204 201 197 193 189 186 185 183 180 178 175 173 172 171 168 167 167 165 162 161 162 162 166 170 173 176 179 182 185 191 196 197 196 191 186 183 179 176 172 167 163 162 161 159 158 157 155 154 152 149 144 140 136 132 127 123 120 119 117 114 110 106 104 103 101 100 99 100 99 97 97 98 98 99 99 98 96 95 94 92 90 87 85 82 81 80 80 80 80 80 78 77 76 73 70 68 65 63 61 59 58 59 58 56 54 52 49 47 46 45 44 43 43 42 41 40 40 39 38 38 38 39 40 39 38 38 38 37 36 36 34 32 30 28 26 25 24 23 23 23 23 23 23 23 23 22 21 20 20 20 21 22 25 26 28 27 25 22 19 16 11 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 7 8 9 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 7 5 4 3 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 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 6 6 6 7 7 7 8 9 10 11 12 12 13 13 13 13 14 15 18 19 20 19 17 15 13 11 10 10 10 10 10 11 11 11 11 12 12 13 14 16 17 17 16 15 15 15 15 15 15 14 15 15 15 15 15 16 18 19 20 21 21 21 21 22 22 22 22 22 22 22 23 23 23 23 23 23 23 23 23 24 24 25 25 25 26 26 26 27 27 28 30 31 33 34 37 39 41 42 43 44 44 45 45 47 48 49 49 49 50 50 50 49 49 48 48 47 47 48 51 54 58 64 70 76 81 87 94 100 107 114 123 133 144 154 162 168 170 172 174 181 188 195 198 198 195 187 177 166 153 142 134 130 125 121 117 110 103 100 99 99 98 94 87 79 71 63 57 51 45 42 42 45 50 54 58 62 66 71 75 80 86 94 100 106 108 108 107 107 108 109 106 99 90 80 74 71 70 64 56 44 38 39 54 78 105 128 145 157 164 163 158 151 146 144 144 142 139 134 126 113 95 81 68 51 35 19 9 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 0 0 0 0 1 2 4 6 6 4 1 1 1 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0
127 127 127 127 126 126 126 127 130 135 139 143 144 140 149 160 159 156 156 155 152 156 162 171 178 180 181 185 190 196 201 213 214 209 208 207 204 200 197 194 190 189 187 184 182 180 178 178 176 174 173 171 170 169 170 172 173 176 175 175 175 176 178 180 185 191 193 194 193 190 185 179 176 172 171 166 162 160 159 158 156 154 152 151 149 145 140 135 131 127 124 122 119 116 115 112 109 106 103 101 100 100 101 101 101 99 97 95 94 94 94 93 93 92 91 90 87 84 82 81 81 80 80 80 80 79 77 75 72 69 67 64 62 60 58 57 57 55 54 53 53 49 47 47 45 43 41 40 39 38 36 36 37 36 35 35 35 36 36 35 35 35 35 35 34 33 32 30 29 27 25 23 22 22 22 22 22 22 22 22 22 21 21 20 20 20 21 22 24 26 26 26 24 21 18 14 11 7 4 2 1 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 8 9 10 11 12 12 12 11 11 11 10 10 10 9 9 10 10 10 10 9 7 5 3 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 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 5 5 5 5 5 6 7 8 9 11 12 11 11 12 12 12 13 14 16 19 20 21 20 18 15 13 11 10 9 9 9 10 11 12 12 12 12 13 13 14 16 17 16 16 16 15 15 15 15 15 15 15 15 15 15 16 17 18 18 19 20 20 21 21 21 22 22 22 22 22 22 23 23 22 22 22 23 22 23 23 23 24 24 24 24 25 25 26 26 27 28 29 31 33 35 37 39 41 43 44 45 46 47 47 48 49 50 51 50 50 50 50 51 50 51 51 51 51 52 55 57 61 65 70 74 78 84 91 98 105 113 121 131 142 152 162 169 174 176 178 181 187 194 198 199 197 189 180 169 157 146 136 131 126 122 117 111 104 100 99 100 99 95 88 79 70 62 57 52 46 41 40 42 46 50 55 60 65 69 73 78 83 91 98 105 111 112 111 110 110 111 109 103 93 82 74 67 67 63 54 41 33 28 43 64 91 120 142 158 164 168 171 169 166 161 160 157 151 142 131 119 103 87 71 49 30 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 1 1 2 3 7 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
122 122 121 121 122 122 123 124 125 128 132 136 140 144 150 152 151 151 153 159 159 156 154 157 157 159 160 164 170 179 191 194 188 191 196 201 201 200 198 196 194 192 189 185 182 179 178 175 172 173 173 174 173 174 177 178 180 181 182 179 176 174 175 175 179 183 187 187 187 186 184 179 174 172 170 166 162 159 157 156 154 152 150 148 147 143 138 132 127 124 122 119 117 115 113 111 109 107 104 102 103 105 105 105 103 101 96 93 91 89 89 89 88 87 86 86 84 81 79 79 80 81 80 79 78 77 74 72 69 66 65 64 62 60 59 58 55 51 49 47 43 41 39 37 36 36 34 32 31 30 30 30 30 31 31 32 31 31 31 30 30 29 29 29 29 29 28 27 25 23 22 20 20 20 20 20 21 21 22 22 22 21 21 20 20 20 20 21 23 24 25 25 24 20 16 12 10 7 4 2 1 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 9 10 11 12 12 12 12 11 10 10 9 9 9 9 9 10 11 11 10 8 6 4 3 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 1 1 1 1 1 1 1 1 1 1 1 1 2 3 4 4 5 5 5 5 6 6 7 7 8 9 10 10 11 11 12 12 13 14 16 18 19 19 19 17 15 13 11 10 8 9 9 9 10 11 12 13 13 14 14 14 15 15 16 16 16 15 15 15 15 15 15 16 16 17 17 17 18 18 19 19 20 20 20 21 21 21 21 21 21 21 21 21 21 21 21 22 22 23 23 23 23 23 23 23 24 25 25 26 26 27 28 30 32 34 36 38 40 42 44 45 45 46 47 48 49 50 51 52 51 51 50 51 51 52 53 54 55 55 56 58 61 63 67 69 72 76 81 87 94 102 109 116 125 135 147 157 166 173 176 177 179 185 194 197 197 196 189 181 170 160 149 139 132 127 123 117 110 103 100 98 99 98 94 86 77 68 59 54 49 44 39 37 38 43 47 51 57 62 66 71 76 81 88 96 104 109 113 114 113 112 112 111 107 99 86 75 66 65 61 56 44 35 29 36 52 81 111 138 160 168 175 180 182 180 175 169 162 155 146 136 124 107 87 62 39 19 6 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 2 3 4 6 6 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
119 120 118 117 115 118 119 121 122 125 127 128 130 129 130 135 139 143 154 167 168 166 160 155 150 147 145 147 149 159 171 178 185 190 198 201 203 200 198 198 198 197 193 188 183 179 177 175 175 174 173 173 175 177 179 180 179 180 178 176 175 173 171 171 173 176 180 182 182 182 179 176 172 171 170 166 162 159 157 156 154 154 152 150 147 144 138 131 126 122 119 116 116 115 113 111 110 111 112 111 111 110 108 105 102 98 95 93 91 88 87 85 84 83 82 81 80 79 77 78 79 79 78 76 76 75 72 69 67 65 65 64 63 61 58 54 49 46 43 39 36 33 31 30 29 28 28 28 28 27 27 27 26 27 27 27 28 28 28 27 26 26 26 26 26 26 25 23 22 21 20 19 18 18 17 19 20 21 23 23 23 22 21 21 21 21 21 22 23 24 25 25 23 20 15 12 8 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 7 8 9 10 11 12 12 12 11 11 10 10 10 9 9 9 10 10 11 10 9 7 5 4 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 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 5 5 5 6 7 8 9 9 10 10 10 11 13 13 12 13 14 16 17 17 16 14 13 11 10 9 8 9 9 9 10 11 12 13 14 15 15 14 14 14 14 15 15 15 15 15 15 16 16 16 17 17 18 18 18 19 19 19 19 20 20 20 21 21 21 21 21 21 20 20 21 21 22 22 22 22 22 22 22 22 22 22 23 24 25 26 27 28 29 31 32 34 36 38 41 43 46 46 46 47 48 49 50 51 51 51 50 50 51 52 53 54 56 57 58 58 59 60 63 66 68 70 72 75 80 86 92 99 105 113 121 130 141 152 162 170 174 176 179 184 191 196 196 194 189 181 171 160 150 140 133 128 124 118 112 105 101 99 99 97 93 86 78 68 58 50 44 40 37 35 35 40 45 48 53 59 64 68 72 77 84 92 102 108 113 116 116 115 114 112 109 102 90 78 67 63 60 57 47 36 31 37 50 73 104 136 157 171 180 187 191 192 187 180 171 162 151 139 122 101 76 41 18 8 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 1 1 2 2 3 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
119 119 117 117 117 118 119 120 122 124 124 123 119 119 129 135 133 136 141 148 160 167 162 159 153 148 145 142 146 154 168 186 200 208 213 214 209 205 198 196 197 196 193 188 184 182 180 181 180 176 173 172 173 175 178 181 180 179 178 176 175 174 174 174 176 178 180 183 185 185 182 177 173 171 168 165 162 160 159 160 160 158 156 153 149 142 136 128 122 117 115 115 114 113 112 111 113 115 115 116 113 111 106 103 99 97 97 95 92 91 88 86 85 82 80 78 77 76 77 77 77 76 76 75 74 73 72 70 68 68 68 68 65 61 55 49 45 41 39 36 33 31 29 28 27 27 27 28 28 28 28 28 27 26 26 26 26 26 26 26 25 24 24 25 25 24 24 23 22 21 20 19 18 18 18 18 20 21 23 24 24 23 22 21 21 22 22 23 24 24 25 24 23 19 15 11 7 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 7 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 7 5 4 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 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 4 4 5 5 6 7 8 9 9 9 9 9 9 10 12 13 13 14 15 15 16 16 14 12 11 9 8 8 8 8 9 9 10 11 12 13 14 14 15 14 14 14 14 15 15 15 15 15 15 16 16 16 17 17 18 18 18 19 19 19 19 19 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 21 21 21 22 23 24 26 27 29 31 32 33 35 36 39 42 44 46 47 47 48 49 50 51 52 52 51 51 52 53 55 57 58 59 59 59 59 60 62 64 67 69 70 71 74 78 83 89 95 100 107 116 125 136 146 155 163 169 173 176 182 188 193 193 192 188 181 173 161 150 139 132 128 124 118 112 106 102 99 99 96 92 86 78 68 56 46 38 32 29 29 31 36 40 46 52 57 60 65 70 75 81 89 98 106 113 117 118 118 116 115 111 105 94 81 69 62 59 56 49 40 30 31 41 64 95 128 152 170 181 189 194 197 191 184 177 168 157 143 115 85 53 23 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 0 0 0 0 0 0 1 1 1 1 0 1 1 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
116 116 118 118 120 125 127 125 127 127 125 121 118 127 135 137 138 133 131 136 141 147 151 151 148 142 140 149 153 163 177 185 197 201 207 197 195 189 187 187 188 189 187 187 184 183 182 178 175 171 168 169 172 172 174 176 177 176 175 174 175 177 178 179 179 179 181 183 184 182 179 174 169 166 164 163 162 163 163 163 162 161 158 153 145 137 128 120 115 112 111 111 111 111 111 113 116 117 116 114 110 104 100 97 95 95 94 93 92 91 90 88 85 82 80 77 75 75 76 76 76 76 75 75 75 74 73 72 71 72 72 71 65 59 52 46 42 40 37 35 33 32 31 30 29 28 28 29 29 29 28 28 28 27 26 26 26 25 25 24 23 23 22 22 22 22 22 22 21 20 19 19 19 19 18 19 20 21 23 23 24 23 23 22 22 22 23 23 23 24 24 23 21 18 14 10 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 7 9 10 11 11 11 11 10 10 9 9 8 8 8 9 10 10 9 8 5 4 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 1 1 1 1 1 1 2 1 1 1 2 2 3 4 4 4 4 5 5 5 6 7 8 9 8 8 9 9 10 12 14 15 14 14 14 14 13 12 11 10 8 8 8 8 8 9 9 9 10 11 12 14 14 14 14 14 14 14 14 15 14 14 14 15 16 16 16 16 16 17 17 18 18 18 18 18 19 20 20 21 21 21 21 22 22 22 21 21 21 21 21 21 21 21 21 20 20 21 21 22 23 24 26 28 29 31 32 34 35 37 40 41 43 45 47 48 49 51 52 53 53 52 52 55 57 58 60 61 62 62 62 61 61 62 65 67 69 70 71 72 74 77 81 85 90 96 103 111 120 132 142 151 158 163 168 173 181 188 192 193 191 187 180 171 161 150 139 131 125 120 116 112 107 101 97 96 96 92 84 74 64 52 41 33 27 26 26 29 33 38 44 51 56 58 62 66 72 78 86 94 103 111 117 119 121 119 116 113 107 97 84 72 62 55 55 51 43 32 27 26 47 73 106 138 163 180 186 190 193 189 184 177 169 155 132 99 64 31 11 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 1 1 1 0 0 0 0 0 0 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
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