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 10 9 9 9 8 9 9 9 9 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 7 7 7 7 7 7 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 11 9 8 6 6 7 10 15 20 24 28 29 30 30 29 27 26 24 23 21 19 17 16 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 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 8 8 8 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 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 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 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 8 8 8 10 12 15 18 18 17 16 14 14 13 13 12 11 9 7 5 2 1 1 6 14 24 34 43 46 42 36 29 21 15 13 12 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 11 11 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 9 7 4 4 6 10 13 14 14 13 11 10 9 9 9 10 10 9 9 9 9 10 11 11 12 12 10 9 9 10 12 13 13 11 10 8 8 9 nan
nan 10 10 10 9 9 9 9 9 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 8 9 9 9 10 10 11 11 11 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 5 5 5 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 12 13 14 14 14 13 13 12 12 11 10 8 7 6 7 10 14 19 24 27 28 29 29 29 28 26 25 23 22 20 18 17 15 14 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 9 10 10 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 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 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 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 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 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 11 11 9 8 8 9 11 14 16 17 16 15 14 13 13 13 12 12 10 8 6 4 2 1 4 10 19 31 42 46 45 39 32 24 17 14 12 11 11 11 11 12 12 11 11 10 10 10 10 11 12 12 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 6 3 3 5 8 11 12 12 12 11 10 10 10 11 11 10 9 9 9 9 10 11 12 14 13 12 11 10 10 10 11 10 9 9 10 12 14 nan
nan 10 10 10 9 8 7 8 8 9 10 10 10 10 10 10 10 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 8 8 8 8 9 9 9 10 10 11 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 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 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 11 12 13 14 15 14 14 13 13 12 12 10 9 7 6 7 9 13 18 22 26 28 29 29 29 28 26 25 23 22 21 19 18 16 15 14 13 12 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 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 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 7 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 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 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 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 12 12 12 12 11 10 10 9 9 11 13 15 15 15 14 13 12 12 12 13 12 12 10 8 6 3 1 3 8 15 27 39 45 45 43 35 26 19 16 13 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 9 8 5 4 3 4 7 8 10 10 10 10 11 11 12 12 11 10 10 9 9 9 9 10 12 12 13 12 11 10 9 9 9 8 8 10 11 15 17 nan
nan 10 10 8 7 6 5 5 6 8 9 10 11 11 11 11 10 9 9 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 8 8 8 8 8 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 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 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 13 14 15 14 14 13 13 13 12 11 9 8 7 7 9 13 17 22 26 28 29 29 28 28 27 25 24 22 21 20 19 17 16 15 14 13 12 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 6 6 6 6 6 6 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 5 5 5 6 6 6 6 6 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 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 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 8 8 8 8 8 8 8 8 7 7 8 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 10 11 11 11 12 12 12 13 13 13 12 11 11 10 10 11 12 14 15 15 14 13 13 12 12 13 13 12 11 9 7 4 2 2 5 13 24 35 43 46 44 37 28 22 17 14 12 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 9 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 5 4 5 6 7 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 11 12 12 11 10 9 8 8 8 8 9 11 13 15 nan
nan 10 9 8 7 6 5 4 5 6 8 9 10 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 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 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 10 10 11 11 11 13 13 14 14 14 13 13 14 13 12 11 9 7 7 8 12 16 21 25 27 29 29 29 28 27 25 24 22 21 20 19 18 17 15 14 13 12 12 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 6 7 7 7 7 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 5 5 5 5 6 6 6 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 7 7 7 7 7 8 8 8 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 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 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 9 10 11 11 12 13 13 13 13 14 13 13 12 12 11 10 11 12 13 14 15 14 13 13 13 13 13 13 13 12 10 8 5 3 3 4 10 21 32 40 45 45 39 31 24 19 15 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 9 9 8 8 7 6 6 6 7 9 9 10 10 10 10 11 11 10 10 9 9 8 8 8 9 10 11 12 11 11 10 9 9 9 9 9 8 9 11 12 nan
nan 10 9 8 7 6 5 5 5 6 7 9 9 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 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 12 13 13 14 14 13 13 13 14 14 14 12 10 8 7 8 11 14 20 25 27 29 29 29 29 27 26 24 23 21 21 20 19 17 16 15 14 13 12 11 11 11 10 10 10 9 9 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 10 10 11 11 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 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 7 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 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 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 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 10 11 12 13 14 14 15 15 14 14 13 12 12 11 11 12 13 14 14 14 14 13 13 13 13 14 13 13 11 9 7 5 3 4 9 18 28 38 43 45 41 33 27 21 16 13 12 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 14 13 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 11 10 10 10 9 9 8 8 9 11 12 nan
nan 9 9 8 8 7 7 6 6 7 8 8 9 9 9 9 9 9 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 8 8 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 9 9 9 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 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 11 12 13 13 14 14 13 13 13 13 14 14 12 10 8 7 8 10 14 19 24 27 29 30 30 29 28 27 25 23 22 21 20 19 18 16 15 14 13 12 12 11 11 10 10 9 9 9 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 11 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 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 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 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 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 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 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 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 10 11 12 14 15 15 15 15 15 14 13 12 12 11 12 12 13 14 14 14 13 13 13 14 14 14 13 12 10 8 6 4 4 8 16 24 34 42 45 42 36 29 22 17 14 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 12 13 13 13 12 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 12 12 11 10 12 11 10 9 8 8 10 12 13 nan
nan 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 12 13 14 14 14 14 13 13 13 14 14 13 11 9 8 8 10 13 18 23 26 29 30 30 30 29 27 26 24 22 21 20 19 18 17 15 14 13 12 12 11 10 10 10 9 9 9 8 8 8 8 8 7 6 6 5 6 6 7 7 8 8 8 8 8 8 8 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 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 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 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 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 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 7 7 8 10 11 13 14 15 15 15 15 14 13 12 12 12 12 13 13 14 14 14 14 13 13 14 14 14 14 13 11 9 7 5 4 7 14 22 31 40 45 43 38 32 24 17 15 13 12 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 12 12 12 12 11 10 9 8 7 8 9 10 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 10 11 12 12 11 10 8 8 11 14 15 nan
nan 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 10 10 11 12 13 14 14 14 13 13 14 14 14 13 12 10 8 8 10 13 17 22 26 29 30 31 31 30 28 26 25 23 21 20 19 18 17 16 15 13 12 12 11 10 10 9 9 9 8 8 8 8 8 8 7 7 6 6 5 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 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 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 5 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 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 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 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 10 12 14 15 15 16 15 14 14 13 12 12 12 12 13 13 13 14 14 14 14 14 15 15 14 14 12 10 7 5 4 6 11 19 29 39 45 44 40 33 25 19 15 13 12 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 11 10 7 4 3 4 5 8 9 10 10 9 9 9 9 10 10 11 11 11 10 11 11 12 12 11 10 11 12 12 12 10 9 10 13 17 17 nan
nan 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 8 8 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 9 9 9 10 11 11 11 11 10 10 10 11 11 11 10 10 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 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 6 6 6 6 6 6 7 7 8 9 10 10 11 11 12 13 13 13 13 13 14 14 14 14 12 10 9 9 10 12 16 21 25 28 31 31 31 31 29 27 26 23 22 20 19 18 17 16 15 14 13 12 11 10 10 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 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 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 5 5 5 5 5 5 6 6 6 7 7 8 8 9 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 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 9 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 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 7 7 8 10 11 13 14 15 15 15 14 13 12 12 12 12 12 12 13 13 13 14 14 14 15 15 15 15 14 12 10 8 6 4 6 11 17 27 38 44 45 43 35 26 20 17 14 12 11 11 11 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 9 5 1 -1 -1 2 5 8 9 9 9 9 9 9 10 11 12 12 12 11 11 11 12 12 12 11 11 11 12 11 9 9 12 16 18 18 nan
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nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
363 355 349 345 341 337 332 330 329 329 326 323 315 305 294 286 273 262 258 256 251 248 243 236 226 214 201 185 171 156 146 138 134 131 127 122 118 115 112 109 106 104 104 106 107 113 120 123 124 123 120 117 117 117 115 114 113 116 120 122 121 118 117 120 125 133 138 140 137 127 119 112 109 108 109 109 109 108 106 104 101 99 96 94 91 86 81 76 72 71 70 69 67 65 62 61 60 58 57 55 52 50 50 50 49 48 47 47 47 46 42 37 32 30 29 28 28 28 27 27 26 26 27 26 27 26 26 25 26 27 27 27 28 30 32 31 32 34 36 37 39 41 41 40 38 35 33 34 35 35 36 36 38 37 34 29 24 19 14 9 8 7 8 9 9 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 10 11 11 11 14 21 29 38 47 54 57 57 58 58 56 51 46 40 36 34 34 34 34 35 34 36 39 41 41 42 42 41 43 44 43 40 36 30 27 25 24 27 29 30 31 29 28 27 27 26 23 21 20 19 17 15 13 13 13 13 13 13 13 12 12 13 12 12 11 10 8 8 8 8 7 6 5 4 4 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 3 4 6 7 9 10 11 13 14 15 17 18 18 17 17 18 18 18 17 16 15 13 12 12 12 14 14 13 12 11 11 11 11 11 11 11 10 9 9 9 10 11 11 12 12 12 13 13 12 12 12 11 12 12 12 13 13 13 14 15 16 16 16 17 18 21 22 23 23 23 23 26 30 35 38 40 42 42 40 37 33 31 30 29 29 29 29 30 31 31 32 33 34 34 34 35 35 36 39 42 45 48 51 55 61 66 71 76 81 85 90 94 98 103 109 113 117 122 129 134 139 142 143 143 140 136 134 134 135 138 141 141 138 134 129 123 119 117 116 113 109 106 101 96 92 90 86 81 77 76 77 74 77 83 88 90 91 96 101 105 111 124 137 151 159 156 145 127 112 97 82 65 50 39 34 35 44 72 107 132 145 147 142 137 132 128 123 117 112 104 96 88 82 80 78 77 76 76 77 77 77 78 79 80 77 73 69 68 68 69 68 66 61 57 51 48 48 49 50 48 46 42 38 34 28 23 20 17 14 8 9 11 12 10 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 0 0 0 0 0 0 0 0 0 0
384 377 371 367 363 355 349 346 344 341 336 331 325 318 309 302 296 286 280 272 267 260 250 240 227 216 203 193 181 167 156 148 141 134 131 127 122 119 116 111 106 103 104 108 117 124 132 137 141 142 140 135 131 132 130 126 122 119 120 123 124 123 121 120 122 125 128 128 127 123 118 114 112 111 113 114 115 115 113 111 108 106 102 99 95 91 86 80 76 74 73 71 69 67 67 65 65 63 61 59 56 53 51 49 48 47 46 46 45 44 41 36 30 28 27 28 29 29 29 28 27 27 27 27 27 27 26 25 25 25 25 25 26 27 27 28 29 32 34 36 39 42 43 44 44 41 37 37 37 37 37 38 40 41 39 35 30 25 18 13 9 8 8 9 10 10 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 7 8 9 10 14 21 29 37 45 50 54 54 55 56 55 51 45 39 34 32 33 34 34 34 36 40 42 44 45 45 44 46 48 48 46 43 39 35 30 29 29 31 31 32 31 28 26 26 26 25 23 21 20 19 16 14 13 13 13 13 14 14 13 13 12 12 12 11 10 9 9 8 8 7 7 6 5 4 4 3 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 3 5 7 8 9 11 12 13 14 15 17 17 17 17 17 17 16 16 16 14 12 12 12 12 14 16 15 14 14 13 13 12 11 11 11 10 9 8 8 9 9 10 10 10 11 11 12 11 10 10 10 11 12 13 13 13 13 14 14 15 15 16 16 16 17 18 21 23 23 23 24 26 31 35 38 39 41 44 42 38 35 32 30 29 28 28 28 28 29 30 32 33 33 34 34 35 36 37 40 44 48 51 54 56 60 65 70 73 77 83 87 90 93 97 103 109 114 120 125 130 134 137 141 144 143 138 133 128 126 130 136 136 134 131 127 120 117 117 118 116 114 110 106 101 96 93 89 84 78 73 72 71 72 76 82 85 90 99 108 114 118 126 135 145 153 156 147 133 118 104 89 73 55 41 33 32 35 54 86 117 137 145 141 136 132 128 123 115 107 98 90 83 79 77 76 76 76 77 80 82 83 82 81 77 74 71 67 63 64 66 66 63 59 55 50 47 46 47 49 47 44 41 37 34 29 23 20 18 16 12 12 12 12 10 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
406 400 394 388 380 371 365 361 359 352 346 341 335 330 321 313 305 297 287 279 274 267 257 243 229 214 202 192 183 172 161 154 147 141 138 135 133 128 122 115 106 101 101 107 117 130 141 149 156 158 159 157 154 150 148 143 138 132 129 127 127 127 125 123 123 122 123 122 121 119 117 115 113 115 117 118 119 119 117 115 112 109 105 101 98 94 89 84 80 78 75 72 70 69 68 67 65 64 64 63 61 57 54 51 49 47 46 44 42 40 38 36 31 27 26 27 27 29 29 29 29 28 28 27 27 27 27 25 24 23 24 24 24 25 27 26 28 30 31 33 35 39 42 45 46 44 41 38 37 38 39 40 41 41 40 38 34 28 23 17 12 9 8 9 10 11 10 7 4 1 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 4 6 9 14 20 28 35 43 47 49 50 51 53 53 50 44 38 33 30 30 32 33 35 40 42 44 44 47 48 49 51 52 51 49 46 41 36 32 31 33 33 32 32 29 27 26 25 25 24 22 20 20 19 17 14 13 12 12 13 14 13 13 13 13 11 11 10 9 8 8 8 8 7 7 6 6 4 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 4 6 8 8 9 11 12 14 15 16 17 17 15 15 15 15 14 14 14 13 11 12 13 12 13 15 15 15 15 15 14 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 11 12 13 13 13 13 14 15 15 16 16 16 16 16 17 19 22 23 23 24 26 32 37 40 41 42 44 41 38 35 32 31 30 29 29 29 28 28 29 30 31 33 34 34 35 36 37 41 45 49 53 56 57 61 66 70 73 77 81 85 88 91 93 97 104 112 119 127 130 132 136 140 144 144 139 133 126 123 127 131 132 132 129 124 119 117 117 119 119 117 113 109 106 102 97 93 88 83 76 69 65 64 68 75 83 90 100 111 118 119 121 128 135 143 150 147 133 120 108 95 82 63 46 33 28 31 44 73 104 127 139 138 136 132 126 120 110 101 93 85 79 77 77 76 76 77 79 83 86 86 84 79 74 71 70 64 54 56 58 60 60 56 52 49 48 47 47 48 47 44 40 36 33 29 25 21 19 17 15 12 11 12 9 5 2 1 0 1 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
434 428 421 410 400 392 386 380 372 364 357 351 345 341 332 321 309 299 291 283 277 270 260 249 233 217 203 193 184 173 166 157 148 142 138 137 136 131 126 118 107 99 96 102 112 127 140 152 158 166 169 176 177 177 172 166 158 148 141 135 133 131 130 128 126 123 121 119 118 117 117 116 116 119 121 122 122 122 120 117 113 109 106 104 100 96 93 89 84 80 78 76 73 72 69 67 65 65 66 65 64 60 58 54 51 49 47 44 42 41 39 37 34 32 29 27 27 28 29 29 29 29 28 28 27 27 26 25 25 25 25 24 24 24 26 27 28 30 31 32 33 35 38 40 43 43 41 39 40 41 42 43 42 41 41 39 35 30 25 19 13 10 9 9 10 11 10 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 1 1 1 2 3 7 13 20 27 32 39 44 47 48 50 52 53 50 44 37 32 30 30 31 35 38 42 44 44 46 48 48 49 51 52 52 50 45 40 35 33 32 32 32 31 30 28 27 25 25 24 23 22 21 20 19 17 14 13 12 13 14 14 14 14 13 13 12 11 10 10 9 9 8 8 8 7 7 6 4 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 1 1 2 2 2 2 2 2 2 1 1 1 1 1 2 4 6 7 8 8 11 12 13 14 14 14 15 15 14 14 14 14 13 13 14 12 11 11 12 12 12 13 14 15 16 16 15 14 12 11 10 10 9 9 9 9 10 9 10 9 10 10 10 10 10 11 11 11 13 13 14 14 14 14 15 16 16 15 15 16 16 17 18 21 23 24 25 28 33 37 40 42 44 43 41 38 36 33 32 31 31 30 30 29 29 30 30 31 32 33 34 35 36 37 41 44 48 52 55 58 63 67 71 74 77 81 85 89 92 94 96 101 109 118 126 131 133 135 139 144 143 138 133 128 125 127 130 130 128 125 120 120 119 120 121 121 119 116 113 111 109 104 99 94 88 82 76 69 63 61 66 77 86 96 107 115 117 119 121 123 125 132 133 125 117 111 101 89 71 52 37 29 28 37 58 87 118 130 133 131 126 120 112 104 95 87 80 76 76 76 75 74 76 80 84 87 88 86 78 72 69 69 63 55 55 57 60 59 55 51 49 48 48 49 48 46 43 39 35 32 29 26 23 22 19 15 12 13 13 10 7 3 1 2 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 0 0 0 0 0 0 0 0 0 0 0
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163 153 145 141 140 140 141 143 146 150 150 150 152 155 157 159 162 164 171 176 181 186 191 196 201 206 210 213 217 220 220 222 222 220 222 226 231 238 239 243 247 244 242 237 233 233 233 230 225 221 221 219 217 214 213 211 207 205 204 199 193 187 182 177 172 168 164 160 156 155 153 151 151 153 152 150 148 142 138 136 136 135 140 144 146 146 144 139 135 130 128 126 122 117 111 104 100 96 91 88 86 84 81 78 75 73 71 69 68 67 65 65 65 64 62 61 60 58 56 55 54 54 53 52 51 51 51 49 49 50 50 49 47 45 44 43 42 42 41 40 39 39 39 39 39 39 37 36 35 33 30 28 29 29 27 28 28 27 27 28 29 29 29 29 27 27 25 24 22 22 23 24 24 25 27 27 26 28 28 27 25 23 25 26 26 21 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 1 2 3 3 4 4 4 5 5 5 5 5 5 5 4 4 3 4 4 4 3 4 4 3 3 2 3 3 3 3 3 3 4 5 5 6 7 7 7 8 9 10 10 11 12 13 14 14 15 17 17 18 18 18 18 17 17 17 18 21 23 24 25 27 27 25 23 21 18 16 15 14 13 13 13 16 20 22 22 20 18 17 16 16 17 17 16 15 15 14 14 13 12 11 11 11 10 10 10 11 12 13 13 14 16 16 17 17 18 18 17 16 15 16 17 18 18 18 18 18 17 19 21 21 20 19 18 18 18 19 20 21 22 23 24 25 27 29 31 34 36 38 39 41 42 43 46 50 54 56 58 59 59 59 58 60 63 65 66 67 67 66 65 64 64 63 64 65 64 63 63 62 61 59 56 53 54 60 65 68 70 76 83 90 91 92 94 97 100 104 108 112 113 113 115 116 114 110 109 106 102 99 98 94 88 81 74 65 55 44 35 30 34 42 52 61 66 71 77 84 83 80 78 78 83 86 88 87 85 80 73 68 66 67 71 71 67 62 55 48 42 37 32 27 24 21 19 18 18 18 17 15 11 7 3 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 10 17 22 25 28 31 35 37 38 38 39 41 43 44 45 44 42 39 37 36 36 36 37 35 32 27 22 19 17 15 11 8 4 1 0 0 0 0 0 2 4 10 12 10 6 4 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
148 141 138 136 134 133 136 136 137 140 144 147 147 148 152 155 158 160 160 164 168 172 176 181 186 192 199 205 210 213 215 219 220 220 219 219 221 221 224 226 230 233 234 234 233 235 238 235 231 230 229 225 219 214 212 211 209 207 201 195 190 186 183 180 175 171 168 166 164 163 163 162 164 166 165 163 161 159 158 160 161 166 169 170 170 172 170 162 155 148 140 131 127 122 116 111 108 104 99 95 92 90 88 84 80 76 74 72 70 68 66 65 64 62 60 60 59 58 57 56 55 55 55 54 53 53 52 52 52 52 51 50 49 46 45 44 43 42 42 41 41 40 40 39 39 38 37 37 35 33 31 29 26 24 25 26 26 26 27 28 29 29 30 31 30 28 25 22 20 21 23 23 22 23 25 23 22 22 25 26 25 23 22 25 26 24 17 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 3 4 4 4 4 5 4 4 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 5 5 5 6 7 7 8 8 9 10 10 12 13 13 14 15 17 17 18 18 17 17 17 17 18 20 21 22 23 23 24 25 25 24 23 20 17 16 15 14 13 13 13 16 19 20 19 18 17 16 16 16 16 14 14 14 15 14 12 11 11 11 11 11 11 12 12 14 14 14 16 17 17 17 17 16 16 16 15 15 16 16 16 16 18 17 16 17 18 19 19 19 18 17 17 17 18 19 21 22 22 23 24 26 27 30 32 34 35 38 40 41 43 46 49 53 56 58 59 60 59 59 60 64 68 70 72 71 70 70 67 66 64 62 61 62 64 64 64 63 61 57 54 52 58 61 62 62 67 73 79 82 85 87 89 93 97 101 105 107 109 111 111 110 109 109 104 100 97 96 92 87 81 75 66 54 44 36 32 34 41 49 59 65 73 80 85 86 84 80 81 85 88 90 87 83 78 71 67 66 67 71 71 68 62 55 49 43 38 33 28 24 21 20 19 19 19 18 15 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 8 14 20 25 28 31 35 37 39 38 39 42 45 46 44 42 40 39 38 39 39 38 37 38 37 34 28 24 20 18 15 11 7 4 2 1 0 0 0 2 7 12 16 19 14 6 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
134 131 130 130 130 130 132 132 132 133 137 143 147 147 147 149 151 153 155 158 161 163 165 169 172 178 185 190 195 200 203 206 209 214 216 217 218 220 219 220 222 220 224 222 227 231 235 238 240 237 234 227 220 213 208 206 203 197 193 190 186 183 181 179 177 174 172 172 173 175 175 176 178 177 177 176 176 176 181 186 192 197 194 196 196 191 189 183 179 172 162 150 140 133 127 122 118 115 110 104 100 101 97 93 91 86 80 76 73 69 66 64 63 62 60 59 59 59 59 57 56 55 55 54 54 53 52 52 51 51 52 51 50 49 47 46 44 43 42 43 43 42 41 40 38 38 37 36 35 34 32 30 25 24 24 25 25 24 23 25 28 29 30 30 29 27 24 21 19 18 19 21 23 25 23 21 18 18 21 24 24 24 24 25 26 26 21 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 1 1 1 1 1 1 1 3 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 4 5 5 6 6 7 7 8 8 8 10 11 12 12 13 14 15 16 17 17 16 17 17 17 18 19 21 22 23 23 23 24 26 27 25 22 20 18 16 15 15 14 13 14 17 18 18 18 17 17 18 17 16 14 14 16 16 14 13 12 12 13 14 14 13 13 14 15 14 15 16 16 15 14 14 14 14 15 15 15 15 14 14 15 15 15 14 14 15 16 17 17 16 16 16 17 17 17 19 20 20 21 22 24 26 29 31 33 34 36 39 42 44 46 48 51 54 56 57 57 58 58 60 63 66 69 70 71 73 75 73 71 68 66 63 63 64 65 65 65 63 60 58 56 59 59 59 60 61 65 70 74 78 80 80 83 89 97 106 108 108 108 109 109 108 106 101 97 95 94 90 86 82 75 68 59 48 39 32 30 36 45 54 64 73 81 87 87 84 80 80 83 87 90 89 84 78 72 68 65 64 68 69 68 62 56 50 43 38 33 28 25 22 20 20 21 20 18 15 10 6 3 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 4 6 13 19 25 29 33 36 37 38 38 40 45 46 46 44 41 41 42 41 41 39 35 37 38 39 38 33 27 23 18 16 14 9 5 3 1 0 0 0 3 7 11 11 9 6 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
126 126 125 125 125 126 127 127 128 130 133 138 142 144 144 145 146 147 148 151 153 154 157 159 161 166 170 176 181 186 189 192 198 203 209 212 213 214 217 219 221 224 225 228 229 232 234 235 235 234 226 218 211 208 207 202 196 190 186 186 184 183 181 181 180 178 179 180 183 185 185 185 185 185 183 184 184 189 194 199 201 200 202 204 203 201 196 191 187 183 180 169 158 150 144 141 136 132 127 121 122 116 113 108 103 96 90 84 79 74 70 67 64 64 62 61 60 59 58 57 55 55 54 54 53 53 52 51 51 51 50 50 50 49 47 46 45 43 43 43 44 45 44 43 41 39 38 37 36 35 33 32 30 27 25 24 25 24 23 23 25 27 29 29 27 26 24 22 21 19 18 19 22 24 24 22 19 17 17 19 22 23 24 24 25 27 25 18 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 3 2 2 2 1 1 1 1 2 2 2 2 2 3 4 4 5 5 5 5 6 6 7 7 9 10 10 11 12 13 13 14 15 16 17 17 18 17 17 18 20 20 21 22 23 23 23 25 26 25 24 23 22 18 17 16 16 15 14 15 16 16 15 16 17 18 16 15 13 12 13 13 12 12 12 12 14 14 14 14 15 14 14 14 14 14 14 13 12 12 12 13 13 14 14 14 14 13 13 13 14 13 13 13 14 15 15 14 14 14 15 16 17 18 19 19 20 21 23 25 27 30 32 33 35 38 41 43 46 49 51 53 54 54 55 55 56 57 60 62 64 65 66 68 69 72 73 73 70 68 67 66 66 65 65 65 64 62 61 59 59 58 58 58 60 64 68 72 75 77 77 82 89 99 103 105 108 109 107 103 99 96 93 92 91 89 86 81 74 66 57 48 41 36 34 37 43 50 62 72 81 88 87 85 81 80 83 86 88 88 85 79 73 68 65 64 67 69 67 62 57 51 45 39 34 29 26 24 22 21 22 21 19 15 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 14 20 27 31 34 36 37 37 38 40 44 45 44 43 41 42 44 40 35 31 29 31 35 38 39 38 35 33 29 25 17 10 4 2 0 0 0 0 0 1 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 0 0 0 0 0
126 124 124 124 124 123 122 123 124 127 131 134 136 138 139 140 141 141 142 144 146 150 153 155 155 157 160 164 169 174 178 177 180 187 192 198 204 204 205 209 213 216 218 221 225 228 231 229 226 222 216 208 201 199 200 199 193 187 187 187 188 188 188 186 185 186 189 195 195 195 194 194 194 194 197 199 204 206 206 208 209 209 209 205 202 200 193 187 183 179 171 168 163 155 150 147 145 142 136 131 127 123 118 113 108 104 100 96 89 80 75 72 70 68 66 64 63 60 59 58 56 55 54 53 51 51 50 51 51 50 50 50 49 48 47 46 45 43 43 43 44 45 45 44 43 42 40 38 36 34 34 33 32 30 28 27 26 26 24 23 23 25 28 30 29 27 25 23 22 21 19 18 18 20 23 25 24 20 17 17 19 21 22 23 24 25 25 22 14 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 3 3 4 4 4 4 4 4 3 3 4 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 2 2 3 3 4 5 5 6 6 7 7 8 10 9 9 10 12 13 13 15 17 17 17 17 17 17 18 19 20 19 19 20 21 21 21 22 23 24 25 24 22 19 18 17 16 16 15 15 16 15 15 15 16 15 14 13 11 11 11 12 12 12 13 13 14 15 15 15 15 14 13 12 12 12 12 11 11 11 12 11 12 12 12 12 12 12 13 13 13 13 12 12 12 13 14 14 14 14 15 16 17 17 18 19 19 20 20 22 25 28 31 33 35 38 40 42 45 49 52 54 54 55 55 56 56 57 57 59 60 59 60 61 63 66 70 71 72 72 72 70 69 68 67 66 66 65 63 61 60 59 58 57 57 59 63 67 71 73 73 75 80 87 93 99 104 102 100 98 95 93 91 90 88 86 84 80 75 68 58 49 43 39 37 40 46 53 63 73 83 88 89 87 81 80 81 84 87 86 84 80 73 69 67 66 67 67 66 62 57 52 46 40 34 29 26 24 21 21 22 22 20 15 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 8 14 21 29 32 34 35 35 35 37 42 44 45 44 42 41 40 37 32 26 24 27 31 37 42 44 43 39 34 29 23 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
129 126 126 125 123 122 122 122 124 127 131 133 133 133 135 135 135 137 139 142 145 147 150 151 150 151 153 156 160 165 169 172 174 176 179 184 188 189 192 197 202 205 209 212 214 217 218 217 214 210 205 197 189 190 193 195 195 196 196 197 196 198 193 188 186 187 191 194 196 198 199 201 203 210 215 221 223 223 221 220 217 213 205 199 194 186 179 176 172 169 164 160 155 149 145 143 141 138 135 133 129 123 118 112 109 107 101 97 91 87 82 76 72 70 68 66 65 63 62 59 57 56 56 53 52 52 51 50 50 49 48 48 49 48 47 46 45 43 43 43 44 45 45 45 45 44 43 41 37 34 34 33 32 31 30 30 29 28 26 25 22 22 25 28 29 28 26 24 23 23 22 20 18 18 20 23 24 22 18 16 16 17 19 20 22 24 25 23 19 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 3 4 3 2 2 2 1 1 1 2 1 1 1 1 1 1 1 2 2 2 3 3 4 5 5 5 6 6 7 8 9 8 9 10 11 13 15 17 16 16 17 17 17 18 18 18 17 18 19 19 20 20 21 22 23 24 25 24 22 19 17 15 14 15 15 15 14 15 16 16 15 14 13 12 13 14 15 16 15 14 14 14 14 13 13 14 13 11 10 11 11 11 10 11 11 12 11 11 11 11 11 11 12 13 13 13 13 13 13 13 14 14 15 16 16 16 16 16 17 18 19 19 20 21 22 23 25 29 31 34 37 40 42 44 48 53 57 59 59 58 58 58 59 59 59 60 60 59 60 61 61 65 68 71 73 75 75 76 75 74 72 70 67 64 60 59 59 59 57 56 57 59 63 66 68 69 72 74 78 81 85 87 91 93 94 93 91 88 86 85 84 82 79 73 68 61 52 44 39 37 41 47 55 64 75 84 89 91 89 83 79 79 81 83 84 83 80 75 71 68 66 66 66 66 62 58 53 47 41 35 31 27 24 21 21 22 22 20 15 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 8 15 23 28 31 33 34 34 35 38 43 45 46 44 41 38 35 31 28 25 24 30 37 40 41 39 35 32 25 17 11 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
135 132 129 127 124 123 121 121 123 127 130 130 133 134 133 133 137 139 141 143 147 148 147 147 146 147 148 150 154 159 162 166 169 170 171 175 178 181 182 186 191 197 200 202 207 210 213 212 210 207 201 194 190 191 195 202 208 206 203 204 201 193 189 186 183 185 186 188 193 198 204 207 214 221 228 233 234 232 230 227 221 209 197 189 182 174 169 165 163 161 158 155 151 147 143 140 137 135 130 124 124 120 116 111 104 101 97 93 92 91 85 79 74 71 69 68 66 65 63 61 58 56 55 54 54 54 53 52 50 49 47 47 46 47 47 46 45 44 43 43 43 44 46 47 47 45 44 42 41 38 35 33 33 32 31 30 30 29 29 28 26 25 25 27 28 28 26 24 23 23 23 22 20 19 19 20 21 21 21 17 15 15 17 18 20 21 23 24 21 15 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 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 1 1 1 0 0 0 0 0 1 2 2 3 3 4 4 4 5 6 6 6 7 7 7 9 10 11 12 14 15 13 14 15 15 15 16 16 16 16 17 18 18 18 20 21 22 22 23 24 25 24 21 18 16 15 15 14 14 13 14 14 14 14 13 13 14 15 16 16 17 17 16 15 14 13 12 13 13 12 11 11 10 11 11 11 10 11 11 12 11 11 11 12 13 13 13 13 13 14 13 13 13 14 15 16 17 17 17 17 16 17 18 19 20 20 21 22 24 25 27 30 33 36 39 42 44 46 51 56 59 60 60 60 60 60 60 60 60 60 61 62 63 63 64 65 67 69 72 76 80 81 81 80 78 73 68 64 60 59 58 57 55 55 57 58 60 61 62 64 67 71 74 78 82 85 89 91 89 87 84 81 82 82 81 79 76 70 64 56 47 40 37 40 46 55 66 77 87 90 90 88 83 78 76 77 79 82 83 82 77 72 70 69 68 68 66 62 57 53 47 41 36 31 28 25 23 23 23 23 20 16 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 9 15 23 27 29 31 32 33 35 41 45 47 49 45 41 37 33 30 28 30 33 36 37 32 26 20 15 9 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0
137 133 130 127 125 123 121 120 121 123 124 126 129 134 138 140 147 149 150 150 147 146 146 146 145 145 146 147 150 155 160 163 163 164 166 169 173 175 175 174 179 181 184 188 193 203 210 213 215 212 210 202 195 195 195 202 201 196 203 209 206 207 209 202 198 199 201 201 204 211 216 220 221 227 229 233 230 228 222 219 213 203 194 184 177 170 162 157 156 156 155 154 153 150 148 144 139 138 136 132 127 123 118 112 106 101 96 95 93 91 85 78 74 72 70 68 67 65 62 61 59 58 56 54 55 55 56 55 53 50 48 46 46 46 47 47 45 44 44 44 43 45 46 47 47 47 46 44 43 40 37 34 34 33 32 31 31 31 31 30 30 28 27 26 27 29 30 27 25 23 22 21 19 18 17 19 19 18 17 15 14 14 16 17 19 20 22 23 23 19 12 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 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 2 2 2 2 3 3 4 4 4 4 4 3 3 3 2 2 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 3 3 4 4 4 5 5 6 7 8 8 9 10 12 15 14 14 13 13 14 15 14 15 15 15 16 16 17 19 20 21 21 21 22 23 24 26 26 24 20 17 16 15 15 14 12 12 11 11 12 14 16 17 16 16 17 18 18 17 16 14 13 13 12 13 13 12 12 11 10 10 10 10 11 12 12 12 12 12 12 13 13 13 14 14 15 15 15 15 15 16 17 18 18 18 18 18 17 18 19 20 20 21 23 25 27 29 30 33 36 40 43 44 45 47 51 55 58 60 61 63 63 62 61 61 62 62 63 63 63 64 65 66 66 68 72 78 83 86 86 85 81 77 73 68 64 61 57 55 55 56 56 56 57 58 61 64 68 72 75 78 82 85 86 85 83 81 79 81 83 83 82 80 75 68 60 50 41 38 40 46 55 66 77 87 92 92 89 81 75 72 71 75 80 83 83 79 75 74 72 69 67 64 61 57 52 47 42 37 32 28 26 23 23 24 24 21 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 9 15 20 25 27 28 30 32 37 45 47 48 48 45 42 38 36 35 34 36 34 29 23 15 9 5 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
135 130 126 125 123 123 121 120 120 121 122 123 125 127 130 137 146 156 162 161 159 162 162 160 158 158 153 153 154 158 158 159 161 163 165 168 167 168 168 166 165 165 168 171 177 184 194 203 208 212 213 209 205 202 201 200 195 193 198 207 219 233 226 224 224 226 226 224 227 228 230 231 228 221 215 211 209 205 200 195 190 184 178 172 167 158 148 146 145 145 148 155 153 152 150 147 145 141 139 135 130 127 122 118 112 108 104 102 101 97 87 80 75 72 69 68 67 65 64 63 61 59 57 56 56 56 55 55 54 53 50 48 48 48 47 46 45 46 46 45 45 45 46 47 47 47 46 45 44 42 37 35 34 35 35 34 32 31 31 31 32 31 30 29 28 28 28 28 27 25 23 20 18 16 15 14 15 15 15 13 13 13 14 17 19 20 21 23 23 21 16 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 0 0 0 0 0 0 0 0 0 1 2 2 2 3 3 4 3 3 2 2 2 2 2 2 3 4 4 4 4 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 4 4 4 4 4 5 7 8 9 11 11 12 12 12 12 11 12 14 14 14 15 16 17 18 19 20 22 23 23 22 21 22 23 24 26 25 22 18 17 16 16 14 13 11 11 12 14 16 18 17 15 16 17 18 19 17 15 14 14 14 14 13 12 11 11 10 10 10 10 10 11 12 13 13 13 14 14 14 14 14 15 15 16 17 16 16 16 17 17 17 18 18 18 18 18 18 18 20 21 22 25 27 29 32 33 34 37 40 44 46 47 48 49 50 52 56 59 63 64 64 63 63 63 63 63 63 65 67 68 68 67 65 67 72 79 84 88 90 88 85 80 76 71 66 60 58 57 56 56 56 57 58 60 63 67 69 72 74 78 81 82 83 82 81 79 79 80 80 79 78 75 70 63 55 46 40 41 45 54 65 77 89 97 98 93 83 75 70 68 74 79 84 83 79 76 75 72 69 67 65 61 57 53 48 43 37 33 29 26 24 24 23 24 22 17 11 5 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 5 9 14 19 23 26 28 30 34 40 45 46 46 45 44 42 39 37 37 35 28 20 12 7 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 0 0 0 0 0 0
141 134 130 125 122 121 120 119 120 122 123 124 125 127 127 123 134 152 164 181 185 187 186 187 188 185 177 171 170 179 187 180 178 174 167 168 166 161 158 157 156 157 157 159 164 171 178 186 194 201 204 206 204 204 205 205 205 198 193 201 205 209 214 219 232 247 243 257 245 245 242 239 226 211 196 189 184 182 178 174 169 163 159 155 151 144 141 138 135 135 138 141 143 143 143 146 145 142 139 135 131 128 125 122 118 115 112 108 104 98 91 84 78 74 71 68 66 66 66 63 62 61 60 59 59 59 58 57 56 55 53 51 49 48 48 48 49 48 47 47 47 48 48 48 48 48 46 45 44 42 39 35 34 35 36 35 33 32 32 31 31 32 32 31 30 29 28 28 28 28 26 22 17 16 15 14 13 13 12 11 11 12 13 15 18 20 21 23 24 22 19 14 7 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 1 2 2 2 2 3 3 3 2 2 2 2 2 3 3 4 4 4 4 3 3 3 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 3 3 3 5 6 8 8 9 9 10 10 10 10 10 10 12 13 14 15 16 17 19 20 22 23 24 23 21 20 20 22 24 26 25 22 19 18 17 16 15 12 12 12 13 15 16 17 16 16 16 16 17 17 16 15 14 15 14 13 12 11 10 10 10 10 10 11 11 12 14 14 14 14 14 15 15 16 17 18 18 18 18 18 18 17 17 17 17 18 18 18 18 18 18 18 20 20 22 23 27 31 34 35 36 38 40 44 46 48 48 48 50 52 53 54 56 58 61 63 65 65 64 63 63 65 70 75 75 73 69 68 70 75 80 86 90 92 90 86 81 77 73 67 63 60 58 57 56 56 55 57 59 62 66 69 72 75 78 80 82 81 79 77 74 73 73 72 71 70 67 63 55 46 41 41 46 55 65 76 89 101 103 98 87 78 71 67 70 75 82 83 80 75 72 68 65 64 63 60 57 53 48 43 37 33 29 26 24 23 22 24 22 17 11 5 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 5 8 12 18 22 27 30 34 38 43 45 44 45 44 43 43 40 36 30 24 15 7 3 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
151 145 141 135 124 120 118 118 118 119 120 120 122 125 122 118 119 127 149 170 185 199 196 201 205 209 201 195 192 192 200 205 201 195 187 179 172 165 157 155 151 152 150 151 152 156 162 170 177 184 189 191 193 196 198 203 206 208 204 200 200 199 200 205 209 211 212 217 223 223 222 219 209 197 185 173 166 163 159 156 153 149 145 143 141 139 136 133 131 130 130 132 132 131 134 136 136 137 137 134 133 130 126 123 120 117 112 107 103 99 94 88 82 76 72 69 68 66 63 62 61 60 61 61 61 61 60 59 58 56 55 53 51 51 50 51 51 50 49 50 52 51 49 48 48 47 47 47 45 43 38 36 35 35 36 36 35 34 33 32 31 31 31 31 31 30 29 28 26 26 27 24 20 18 16 14 14 13 12 10 10 10 12 14 17 19 21 22 23 23 21 16 10 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 1 1 2 2 2 3 3 3 2 2 2 2 3 3 4 4 4 4 4 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 3 3 4 5 5 6 7 7 7 7 7 7 8 9 9 10 12 13 15 16 17 18 19 21 21 21 21 21 19 20 21 24 25 24 22 19 17 15 14 13 11 11 11 11 13 13 14 15 16 16 15 15 15 16 15 14 14 13 12 11 9 10 10 11 11 11 11 12 13 14 15 15 15 15 16 17 18 18 18 18 18 18 19 19 19 18 18 18 18 18 18 18 18 18 19 19 20 21 23 26 29 32 34 35 37 39 42 44 46 47 48 49 51 52 52 53 54 56 59 63 64 64 63 61 63 68 77 80 79 74 71 70 72 75 80 85 93 95 92 88 85 81 77 71 65 59 58 56 55 52 52 53 58 62 66 69 72 75 77 78 78 77 75 74 72 71 69 67 65 63 57 50 43 40 43 48 56 66 75 84 96 103 103 88 78 71 67 70 74 80 83 81 75 70 68 66 65 63 61 58 54 49 44 38 33 29 26 23 21 20 21 20 17 11 5 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 7 12 18 24 29 32 35 39 42 43 43 44 44 43 40 36 29 23 15 8 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
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97 98 99 100 101 105 108 114 119 121 123 125 126 128 130 132 135 138 140 142 144 146 146 146 147 147 146 145 145 144 144 141 141 141 139 137 134 133 134 134 133 132 131 130 129 129 129 129 128 126 124 121 116 115 113 110 116 119 126 135 138 135 134 130 130 126 123 122 122 122 124 127 128 127 125 121 116 112 110 109 109 109 109 108 108 109 109 108 107 105 102 98 95 93 91 91 91 91 90 90 91 93 95 96 95 95 95 96 97 97 97 93 90 88 86 83 80 78 76 74 73 72 73 74 75 75 76 76 76 74 73 72 71 69 66 64 63 61 60 59 58 56 55 53 51 50 48 46 44 43 42 42 43 44 45 44 42 41 39 38 38 38 38 38 39 41 40 38 35 32 30 28 27 25 24 23 21 20 19 19 19 20 20 20 19 20 21 22 24 27 31 36 38 37 34 29 24 20 15 9 5 2 1 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 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 7 7 7 7 7 7 8 7 7 7 8 8 9 11 12 12 14 14 15 16 15 14 14 14 14 14 14 13 13 13 12 12 12 12 13 13 14 14 15 14 14 13 12 12 12 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 14 15 15 15 16 16 16 15 15 14 14 13 13 13 12 12 12 12 13 13 14 15 16 18 20 22 23 24 25 26 27 28 30 33 36 39 42 45 47 49 50 50 50 50 49 48 47 46 44 43 42 41 40 42 44 47 49 51 53 57 61 65 69 74 80 83 84 85 87 89 91 94 96 98 100 102 104 110 117 123 128 129 126 116 103 89 74 60 47 43 42 43 43 43 42 41 42 45 49 50 48 46 46 45 44 43 43 46 50 55 60 64 67 68 66 65 71 80 89 97 95 90 88 86 84 83 82 81 80 76 72 65 60 55 50 46 43 39 32 25 16 11 6 3 1 0 0 0 0 0 1 1 2 3 5 7 11 14 15 16 16 14 10 5 2 1 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 1 3 5 4 6 9 10 8 5 3 1 0 1 3 4 5 6 6 6 5 4 2 0 0 0 0 0 0 0 0 0 0
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