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 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 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 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 13 14 15 15 15 15 15 14 13 12 11 10 10 10 10 11 12 13 14 16 18 20 22 24 25 25 24 23 22 20 19 17 16 15 14 13 13 12 11 11 11 10 10 10 9 9 9 9 10 11 11 12 12 11 11 11 10 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 10 11 10 10 10 10 10 9 8 8 8 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 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 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 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 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 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 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 11 12 14 15 16 17 17 17 16 15 14 12 11 10 8 6 4 1 -2 -4 -5 -4 -1 3 11 23 35 44 48 48 43 34 25 20 16 13 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 9 10 10 10 10 10 10 10 9 9 8 7 7 9 11 15 17 17 15 12 10 9 10 10 10 11 10 10 9 9 9 8 8 8 9 10 11 11 11 11 11 10 9 11 12 12 13 12 11 10 10 12 13 nan
nan 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 9 9 10 10 11 11 11 12 12 13 14 15 15 15 15 15 14 13 12 11 10 10 9 10 10 11 13 14 16 18 20 22 23 25 25 24 23 22 21 19 18 17 15 14 14 13 12 12 11 11 11 10 10 10 9 9 9 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 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 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 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 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 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 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 13 14 16 17 18 18 17 16 14 12 11 11 10 9 5 2 -1 -4 -6 -5 -3 1 7 17 30 40 47 49 46 38 30 23 17 14 12 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 10 11 11 11 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 12 15 16 15 13 11 10 10 10 10 11 12 12 11 11 10 9 9 9 9 10 11 11 12 12 11 10 10 10 10 11 11 11 10 10 11 12 13 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 10 10 11 11 12 12 12 12 11 10 10 9 9 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 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 8 7 7 7 8 8 8 8 8 8 8 8 7 8 7 8 8 8 9 9 10 10 11 11 11 12 12 13 13 14 15 15 15 15 14 13 12 11 10 9 9 9 10 11 13 14 16 18 20 21 23 25 25 25 24 22 21 19 18 17 16 15 14 13 13 12 12 11 11 11 10 10 10 9 9 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 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 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 8 8 8 7 8 8 9 10 11 13 15 16 17 18 18 17 15 13 12 12 12 10 8 4 1 -3 -5 -5 -4 -1 4 12 24 35 44 50 49 42 33 25 19 15 12 11 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 12 14 15 15 14 12 11 10 10 10 11 12 13 12 11 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 12 13 nan
nan 10 10 10 10 10 10 10 10 9 9 8 8 8 9 8 8 8 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 13 13 14 14 15 15 14 14 13 12 12 11 10 9 9 10 11 12 14 16 18 19 21 23 25 25 25 24 23 21 20 18 17 16 15 14 13 13 12 12 11 11 11 10 10 10 9 10 10 10 10 11 11 11 11 10 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 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 6 6 6 6 7 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 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 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 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 9 9 8 8 8 8 8 8 9 10 12 13 15 17 17 17 17 16 14 13 13 12 11 9 6 3 0 -3 -4 -5 -3 0 8 19 30 41 49 50 45 37 28 22 17 13 11 11 10 10 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 10 10 10 9 8 8 8 8 9 11 13 15 16 15 13 12 11 10 10 10 11 11 11 10 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 8 8 9 9 9 9 11 12 nan
nan 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 10 10 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 12 13 13 14 14 14 15 14 14 14 13 12 12 11 10 10 9 10 11 12 14 16 17 19 21 23 25 25 25 25 24 22 20 18 17 16 15 14 13 13 12 12 12 11 11 11 10 10 9 9 9 10 10 10 10 11 10 10 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 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 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 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 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 11 12 14 16 16 17 17 16 15 14 13 12 10 9 7 5 2 -1 -3 -4 -4 -3 3 14 26 36 46 50 48 41 32 24 18 14 12 11 10 10 10 10 10 10 10 10 10 11 11 11 12 11 10 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 7 8 8 9 10 10 9 9 9 10 11 10 10 10 9 8 8 7 7 8 10 12 14 16 16 15 13 11 10 10 10 10 10 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 nan
nan 12 12 12 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 14 14 13 13 12 11 10 10 10 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 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 12 12 13 13 14 14 14 14 14 14 13 12 12 11 10 10 10 10 11 12 13 15 17 19 21 23 24 25 26 25 24 23 21 19 17 16 15 14 14 13 13 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 8 9 9 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 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 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 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 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 10 10 10 10 10 10 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 8 8 7 7 7 7 8 9 10 12 13 15 16 17 18 18 17 15 13 11 10 9 8 6 4 1 -2 -4 -5 -4 0 9 21 32 42 50 50 44 36 28 19 15 13 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 6 7 8 9 9 9 9 9 9 10 10 11 10 10 9 9 8 7 7 7 9 11 14 16 16 15 13 11 10 9 9 9 10 11 12 12 12 12 11 11 10 9 9 10 11 11 11 11 10 10 11 10 10 9 9 9 10 10 nan
nan 13 13 13 13 13 14 14 14 14 13 12 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 12 12 12 13 13 14 14 14 14 14 13 12 11 10 10 9 9 9 9 9 9 9 9 9 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 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 12 12 12 13 13 13 14 14 14 14 13 12 12 11 10 10 10 10 11 12 13 15 17 19 20 23 25 25 26 25 24 23 21 19 18 17 15 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 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 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 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 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 10 10 10 10 10 10 9 9 9 9 8 8 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 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 10 9 8 7 7 7 7 7 8 9 11 12 14 16 17 19 19 19 17 14 12 10 9 8 7 5 2 -2 -4 -5 -4 -1 5 14 26 38 48 50 47 39 31 23 16 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 6 6 6 6 7 7 8 9 9 9 9 9 10 10 11 11 10 10 9 8 7 7 7 8 10 13 15 16 16 13 11 10 9 9 10 10 11 12 12 12 12 11 10 10 9 8 9 10 10 11 11 10 11 12 11 10 9 9 10 11 11 nan
nan 13 13 14 14 14 15 15 15 15 14 13 12 11 11 10 10 9 9 9 10 10 9 10 10 11 11 12 12 13 13 13 13 12 12 13 13 14 14 14 14 14 13 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 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 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 10 10 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 10 10 10 11 12 13 14 16 18 20 22 24 25 26 25 24 23 22 20 18 17 16 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 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 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 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 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 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 11 12 12 13 13 12 12 11 9 8 8 7 7 7 7 8 8 9 11 13 15 16 18 19 19 18 16 14 12 11 10 8 5 3 -0 -3 -4 -4 -3 2 9 19 32 45 50 49 44 35 26 19 15 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 8 9 9 9 10 10 10 10 10 9 8 8 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 10 11 11 11 10 9 9 8 7 7 8 10 12 14 16 16 14 12 10 9 10 11 11 12 12 12 12 12 11 10 9 9 8 9 9 10 11 10 10 11 10 10 10 9 8 10 12 12 nan
nan 13 13 14 14 14 15 15 15 15 15 14 13 12 11 10 9 9 9 10 10 10 10 10 11 11 11 12 12 12 13 13 13 12 12 12 12 13 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 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 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 10 10 11 11 13 14 15 17 19 21 23 25 25 25 24 23 22 20 19 17 16 15 14 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 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 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 6 7 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 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 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 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 14 13 13 12 11 9 8 8 7 7 7 8 8 9 10 12 14 15 17 18 18 18 17 16 15 13 10 8 6 3 1 -1 -2 -3 -3 -1 5 14 26 39 49 50 48 40 29 21 17 14 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 9 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 10 10 11 11 11 10 9 9 8 8 8 10 11 13 15 15 14 11 9 8 9 10 11 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 10 10 9 8 10 13 14 13 nan
nan 13 13 13 13 14 14 15 15 15 15 14 14 12 11 10 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 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 9 9 9 9 10 10 10 9 9 9 8 8 8 9 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 10 11 12 14 15 17 18 21 23 24 25 25 24 23 22 21 19 17 16 15 14 13 13 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 9 10 10 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 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 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 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 6 6 7 6 6 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 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 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 11 12 13 14 14 13 13 11 10 9 8 8 7 7 8 8 8 10 11 13 14 16 17 18 18 19 18 16 14 11 9 6 3 1 -0 -1 -2 -3 -3 1 9 21 35 46 50 49 43 34 25 19 15 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 8 7 7 6 6 6 7 7 7 8 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 11 13 15 14 13 10 8 7 8 9 11 12 12 12 11 10 10 9 9 9 10 9 9 10 10 10 11 11 10 10 9 10 14 16 16 15 nan
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CAPE
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180 179 179 180 178 177 175 173 172 170 170 168 167 164 160 154 154 153 154 154 154 153 152 150 149 146 141 140 139 137 135 133 132 129 125 119 119 117 115 111 111 107 105 102 100 97 93 90 86 83 80 77 75 74 73 73 72 72 71 70 68 67 65 64 64 64 63 63 63 64 62 63 63 64 65 64 64 64 64 64 65 66 68 68 67 66 65 62 59 56 55 53 51 49 47 45 43 41 40 38 37 36 34 33 32 31 31 31 30 29 29 29 28 28 28 28 28 26 26 25 24 22 20 19 19 20 19 19 19 19 18 18 18 18 18 18 19 19 19 19 19 19 21 25 26 28 29 27 22 16 11 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 2 4 7 9 11 12 13 13 13 12 12 11 9 9 8 7 6 5 5 5 4 3 3 2 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 3 4 4 3 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 5 6 7 8 9 10 11 11 12 13 14 14 13 13 13 12 11 11 11 12 13 12 11 10 10 11 11 11 12 12 13 13 13 13 12 12 12 12 13 13 13 13 14 14 15 16 17 17 18 18 19 20 21 23 26 28 28 29 30 30 30 31 33 33 33 32 31 31 32 32 32 32 31 31 32 29 27 24 24 23 22 21 21 21 21 21 21 21 21 23 25 27 30 32 34 36 38 39 40 41 43 45 47 49 51 54 59 64 69 72 75 79 83 85 84 74 68 63 61 59 56 54 54 59 66 75 87 104 122 140 163 177 188 197 204 210 213 209 205 198 189 178 167 157 149 143 136 133 133 131 129 127 124 122 119 117 117 119 120 120 119 119 119 118 109 104 100 96 94 92 91 90 88 94 103 111 109 105 100 97 95 95 96 94 88 80 69 60 51 43 35 30 27 24 19 12 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 1 1 2 4 6 7 7 6 5 6 6 8 8 9 9 8 8 9 11 14 15 15 16 18 19 19 20 21 22 21 21 20 18 13 11 9 9 8 6 4 3 3 3 3 2 3 3 4 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
189 183 181 178 177 176 173 171 168 166 166 165 164 162 160 159 158 157 158 159 159 159 158 154 151 149 149 148 147 146 143 141 139 137 135 134 132 129 127 126 123 120 115 111 107 102 98 94 90 86 83 80 78 75 73 72 71 71 70 68 66 65 63 62 62 62 62 61 61 60 60 60 62 63 64 64 65 66 67 70 72 73 73 71 70 69 66 63 59 57 55 53 50 48 46 45 42 40 39 38 37 35 34 32 32 31 30 31 30 29 29 29 29 29 28 27 27 26 26 25 23 21 20 19 19 19 19 18 18 19 18 18 18 18 18 19 19 19 19 19 18 19 20 23 25 26 27 25 22 17 11 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 1 2 4 7 9 11 12 13 13 12 12 11 10 9 8 8 8 7 6 6 5 4 4 3 2 1 1 1 1 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 4 4 4 4 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 4 5 5 7 8 9 9 10 11 11 12 12 12 13 13 13 13 13 13 13 13 14 13 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 13 13 13 14 15 15 16 17 19 20 21 22 22 22 24 26 27 28 29 30 31 31 32 33 34 33 33 33 33 33 32 32 33 32 32 31 29 27 25 24 23 22 21 21 21 20 20 21 21 22 23 23 25 29 31 34 36 39 40 41 42 45 47 49 52 55 59 63 69 74 78 82 85 88 91 91 86 79 73 68 65 62 59 57 60 65 73 84 100 119 138 156 168 179 190 199 207 214 219 217 211 199 182 169 158 148 139 133 130 129 129 128 126 124 120 117 115 114 118 120 120 119 118 117 115 110 105 102 101 98 97 95 92 90 95 102 108 108 106 103 99 96 96 97 96 91 82 72 63 54 46 39 33 29 25 21 13 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 1 1 2 3 5 7 7 6 6 6 6 6 7 8 9 8 8 9 11 14 17 16 17 18 20 21 21 22 23 23 22 21 18 14 12 12 11 10 8 6 6 6 6 6 5 5 7 8 9 9 8 7 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 0 0 0 0 0 0 0 0 0 0 0
191 183 177 173 170 169 168 167 165 164 163 165 165 166 165 167 168 168 169 169 167 169 169 167 166 166 163 162 161 160 158 155 152 150 149 147 143 139 137 135 134 129 125 121 115 109 104 100 95 91 88 84 81 78 75 72 71 69 68 66 65 64 62 61 60 60 60 59 58 58 59 59 61 61 63 65 67 69 72 74 76 77 76 73 71 70 68 64 60 58 55 53 50 48 46 44 42 39 38 37 36 35 34 34 33 31 31 31 31 30 30 30 30 29 28 28 27 26 25 24 22 21 20 20 19 19 18 18 18 18 18 18 18 18 18 18 19 19 18 19 19 19 19 21 24 24 25 24 20 16 11 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 1 3 4 6 9 10 11 12 12 12 11 10 9 9 8 8 8 7 6 6 5 4 3 2 1 0 0 1 1 1 1 0 0 1 1 1 1 1 2 2 3 3 3 3 4 4 4 3 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 2 3 3 4 5 6 7 9 10 10 10 11 11 12 12 13 13 13 13 12 13 13 13 13 14 13 12 11 12 12 12 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 15 16 17 19 20 22 22 23 23 24 27 27 28 29 30 31 32 32 33 34 34 33 34 34 35 34 33 33 31 31 30 30 28 27 26 25 23 22 21 20 20 21 21 22 23 23 24 26 28 31 35 38 40 41 42 44 47 49 50 52 56 60 65 71 76 80 83 86 92 93 94 93 90 85 79 73 70 67 65 66 68 74 85 99 118 135 151 161 171 182 194 203 209 213 220 223 216 197 177 161 147 134 130 127 125 124 125 124 122 118 114 112 111 116 119 120 120 117 115 113 109 104 101 100 101 101 100 98 95 96 101 108 107 104 101 97 95 95 96 96 92 85 75 66 58 50 41 35 30 25 20 13 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 1 2 4 6 7 7 7 6 7 6 6 6 7 8 9 9 9 11 13 16 18 19 19 21 22 23 23 25 25 24 23 20 17 15 14 13 12 10 10 10 10 10 10 10 12 13 14 14 16 14 12 9 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
188 180 176 172 170 169 170 169 170 169 171 173 174 176 179 181 182 182 182 182 182 181 180 181 184 180 177 174 172 171 170 167 164 162 159 154 152 148 141 138 131 129 127 121 115 110 105 102 99 95 92 89 85 81 77 74 72 70 68 66 65 64 62 61 60 60 59 58 58 58 59 59 60 62 64 67 70 74 75 76 76 76 74 73 71 69 67 63 59 57 55 53 50 48 46 44 41 39 38 37 36 37 36 35 34 33 32 32 32 31 31 30 30 30 29 29 28 26 25 23 22 21 20 20 19 18 18 18 18 18 18 18 19 19 18 19 19 20 20 19 19 19 19 21 22 23 23 22 20 15 10 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 5 7 9 10 11 11 11 10 10 11 10 10 9 8 8 6 5 4 3 2 2 1 1 0 0 0 0 1 1 0 1 1 1 1 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 9 10 10 10 11 10 11 12 13 13 13 13 13 12 12 12 12 13 13 13 12 11 11 11 11 10 11 11 12 12 12 12 12 12 12 13 14 13 13 13 12 13 14 15 15 16 17 18 20 21 23 24 25 26 28 29 29 30 31 31 31 33 34 34 34 34 34 35 34 34 34 33 31 30 29 29 28 28 27 25 24 23 22 22 22 23 24 24 26 27 28 30 32 35 38 41 42 43 45 48 50 52 55 57 61 66 71 77 80 84 87 91 94 96 97 95 93 90 85 81 77 74 72 73 78 88 100 115 130 143 154 164 174 186 195 203 210 218 222 219 209 188 168 150 137 129 123 120 120 122 123 120 117 113 111 110 114 117 119 119 117 114 110 106 100 97 96 98 102 103 103 99 97 99 105 105 104 100 97 94 94 94 95 92 86 78 70 62 53 43 36 30 25 20 13 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 1 3 5 7 8 8 8 7 7 7 7 7 8 9 9 10 10 11 13 15 18 20 22 23 23 23 24 24 24 24 23 21 20 19 16 15 14 13 13 13 13 13 14 15 17 15 14 15 21 19 16 12 7 3 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
181 179 177 176 175 176 177 179 180 181 183 185 188 191 194 195 194 193 192 192 190 187 185 184 183 183 181 179 176 175 174 174 173 171 169 169 165 158 149 143 137 131 128 122 117 111 106 103 100 97 94 91 87 83 79 77 74 72 70 68 67 66 65 64 63 61 60 59 59 59 59 60 61 63 67 70 73 75 76 76 76 74 73 71 70 68 64 61 58 57 55 52 50 48 46 44 40 38 38 38 38 37 37 36 35 35 34 33 33 32 32 31 30 30 30 30 28 26 25 23 21 20 20 19 18 18 18 18 18 18 18 19 19 19 19 19 20 20 20 19 18 18 18 20 23 23 22 21 18 14 10 5 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 1 3 5 6 8 9 10 10 10 10 11 11 11 10 8 8 6 4 3 2 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3 3 3 3 3 4 4 5 4 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 7 9 11 11 10 10 11 12 12 12 11 13 13 13 12 11 11 11 13 13 13 12 11 11 11 11 11 12 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 13 15 15 16 16 17 19 21 22 23 24 25 26 28 29 29 30 31 31 32 33 34 34 35 35 35 34 34 35 35 34 32 31 30 30 29 28 27 26 24 23 22 22 23 24 25 26 27 29 31 32 34 38 41 44 45 48 51 52 53 55 57 60 64 69 76 81 85 89 94 99 104 107 108 105 101 96 92 88 84 81 80 82 89 101 112 124 136 145 154 163 173 183 191 200 211 214 215 213 203 189 171 149 133 128 124 120 119 120 119 116 113 110 108 111 114 117 119 116 112 108 104 98 93 89 90 97 102 105 101 96 93 98 102 103 101 99 96 94 94 95 93 89 82 75 66 56 45 38 32 26 20 13 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 1 2 4 6 7 8 8 7 6 7 8 9 8 8 8 9 11 12 13 14 14 17 21 24 24 25 25 25 24 24 25 23 22 21 21 19 18 17 17 16 16 15 17 19 22 24 21 19 23 27 26 22 16 11 8 5 4 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
176 182 183 187 190 189 190 193 194 197 200 201 203 206 208 207 204 200 198 197 194 193 188 183 182 182 178 177 177 178 175 176 175 172 171 168 162 157 147 139 133 129 125 122 117 112 107 104 101 98 96 92 89 85 82 79 77 74 72 70 69 68 67 66 64 64 62 61 61 61 61 61 63 66 68 72 73 74 75 75 74 73 71 70 68 66 63 60 59 57 55 52 49 47 44 41 40 38 38 38 38 38 38 37 36 36 36 35 34 33 33 32 32 31 31 30 29 27 25 23 21 20 19 18 18 17 17 17 18 18 18 19 19 19 20 20 19 19 19 20 20 18 18 20 21 22 22 20 17 13 8 5 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 1 2 4 5 7 8 9 9 9 10 10 11 10 9 7 5 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 3 3 3 4 4 4 5 5 5 4 3 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 2 4 5 6 7 8 10 11 12 11 11 12 12 13 12 13 13 13 13 13 12 11 11 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 12 13 14 12 11 11 11 11 11 11 13 14 15 16 17 18 19 20 21 23 24 25 26 28 29 30 31 31 31 31 33 33 33 33 34 35 35 34 34 35 35 33 32 30 29 28 28 28 27 26 24 23 22 22 23 25 26 26 27 29 31 34 37 40 43 45 49 53 56 57 56 56 59 62 69 76 82 86 90 95 100 106 111 116 114 111 109 108 100 94 91 90 90 94 101 109 119 129 138 146 154 163 173 178 187 199 211 217 217 214 202 183 160 142 135 128 122 119 118 118 116 113 110 109 111 114 117 118 116 112 107 102 96 88 82 84 92 100 105 99 91 88 92 98 101 101 99 96 94 93 94 94 91 86 78 69 58 49 41 35 29 23 15 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 1 2 3 5 6 7 7 6 6 5 6 7 8 8 9 9 10 11 12 13 14 14 16 20 24 27 28 29 27 26 26 25 23 21 19 20 19 19 19 20 20 19 19 21 24 28 30 31 34 41 41 35 27 21 18 16 13 11 9 7 5 5 5 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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202 213 218 215 215 214 218 221 223 222 217 214 210 207 204 200 197 194 191 185 178 173 171 166 160 151 142 139 134 136 136 141 143 143 145 144 146 145 140 133 125 118 112 107 104 100 96 92 90 87 85 84 82 80 78 77 74 71 69 68 67 66 65 64 64 63 63 62 62 61 62 63 66 69 70 72 73 73 72 71 70 69 68 67 66 63 61 59 56 53 50 48 46 44 41 40 39 39 39 39 40 41 42 42 42 40 39 38 37 35 34 33 32 31 31 29 27 24 23 21 19 18 17 16 16 16 15 16 17 17 18 18 18 19 19 18 18 18 18 17 16 16 16 18 19 19 20 19 16 10 6 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 1 3 3 4 6 7 8 8 9 9 8 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 4 4 4 4 5 5 5 5 5 4 4 4 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 4 5 7 9 10 11 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 12 11 11 10 10 11 11 12 12 12 11 12 13 13 13 12 12 12 12 12 13 12 13 14 16 16 18 19 18 18 19 20 21 23 24 25 25 26 28 29 30 32 33 34 35 34 35 35 34 33 33 33 33 33 33 33 33 32 30 28 28 27 28 28 28 28 26 26 26 26 28 30 31 33 35 37 40 42 45 48 50 53 56 59 62 64 67 71 75 79 84 90 97 103 107 112 118 123 119 118 119 117 113 110 108 107 105 105 109 117 125 132 138 143 148 153 157 163 171 183 196 206 212 214 204 188 167 154 145 136 125 120 116 114 110 107 106 107 111 114 116 114 111 107 102 90 80 75 76 83 92 100 102 99 96 96 100 100 98 96 93 91 89 88 88 86 83 77 71 64 55 48 41 35 29 21 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 5 4 4 4 4 6 8 7 7 8 10 11 12 13 14 15 16 19 24 28 33 33 31 29 26 24 21 19 18 18 18 19 20 20 22 23 25 26 27 29 30 32 45 51 51 50 50 51 53 48 43 38 31 26 22 17 15 15 16 22 19 12 4 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0
190 197 200 199 201 203 205 207 205 199 192 186 186 186 182 178 174 170 168 163 157 150 144 142 139 135 131 128 126 126 128 130 130 130 128 131 130 131 127 124 119 114 109 104 103 99 95 92 88 85 84 83 82 80 79 75 73 70 68 67 67 65 65 64 64 63 62 62 61 61 62 64 66 69 70 70 71 71 71 71 70 69 68 66 65 63 61 58 55 52 49 48 45 44 42 41 41 41 40 41 42 43 43 43 43 42 41 39 38 37 34 32 31 30 29 28 26 23 21 19 18 17 15 14 14 14 14 14 15 16 17 17 17 18 18 17 17 17 16 15 14 15 16 17 18 18 19 18 14 9 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 1 2 4 5 6 7 7 7 7 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 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 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 12 12 12 11 11 11 11 11 12 13 13 13 13 12 11 12 12 12 12 12 13 13 14 15 16 17 18 18 18 19 20 20 20 21 22 24 25 25 27 28 30 31 32 33 34 34 34 34 35 34 33 32 32 32 32 32 32 31 30 29 29 29 28 28 29 29 28 28 28 28 31 32 33 34 36 38 40 42 44 47 50 52 54 57 61 65 68 71 74 77 80 84 90 96 101 107 113 116 116 117 118 118 118 117 116 114 111 112 115 120 124 129 136 142 147 150 152 154 158 164 176 187 197 208 206 195 177 154 141 133 125 116 111 109 108 106 106 110 111 113 114 112 110 106 102 92 83 76 74 80 87 96 102 102 102 102 101 99 96 94 94 92 90 88 87 86 83 78 72 66 58 50 43 37 29 21 13 6 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 1 3 4 5 5 5 5 4 4 4 4 4 5 6 6 6 7 8 10 12 14 15 16 17 19 22 28 32 33 32 29 27 24 22 20 19 18 18 19 20 22 23 25 26 26 26 28 31 38 46 51 51 55 56 57 58 56 54 51 46 39 31 22 17 18 22 29 32 33 16 5 0 0 0 0 0 0 0 0 1 2 3 3 1 0 0 0 0 0 0 0 0
155 163 164 168 171 171 171 168 164 159 153 153 156 156 153 149 146 140 141 144 139 133 129 126 126 124 123 123 122 122 125 129 128 131 130 128 127 122 119 117 114 110 105 102 100 98 97 94 92 89 87 85 83 81 79 75 72 70 68 67 66 65 65 64 63 63 62 61 60 60 61 62 65 67 68 69 69 70 71 70 70 69 67 65 63 61 60 58 55 51 48 46 44 42 41 40 40 41 42 42 44 43 43 43 43 42 40 39 38 36 33 31 29 28 27 26 23 21 19 18 16 15 13 12 12 12 12 12 13 14 15 16 16 17 16 15 15 15 14 13 12 13 14 15 17 18 18 17 13 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 4 5 5 6 5 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 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 1 1 2 4 4 5 6 7 9 10 11 11 12 12 12 13 13 13 13 12 12 12 13 14 14 13 12 11 11 11 11 12 12 12 11 11 12 12 13 12 12 11 11 10 11 12 12 12 11 11 12 12 13 14 16 17 18 19 21 20 20 20 21 22 23 24 25 26 27 29 30 31 31 31 32 33 33 32 32 33 32 31 31 31 31 32 31 31 30 29 29 29 30 30 29 28 29 30 31 33 34 36 37 40 40 41 42 44 47 50 53 55 57 60 64 68 72 75 77 79 80 85 89 93 97 102 108 113 118 118 116 115 116 117 117 116 117 120 122 125 130 134 136 140 145 147 149 153 158 166 175 184 195 203 198 182 162 145 132 123 117 111 108 110 112 112 112 112 112 111 109 107 105 101 94 83 75 73 77 83 90 96 98 98 97 98 96 93 91 91 91 90 88 87 86 85 82 77 71 62 53 45 38 29 20 12 5 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 1 2 3 5 5 5 5 5 5 4 4 4 4 5 5 6 5 5 6 8 12 15 18 20 21 22 25 27 30 32 32 31 29 27 23 21 20 18 18 19 21 23 25 26 27 29 29 31 33 40 45 49 52 53 53 52 52 52 55 55 50 42 35 27 21 18 18 23 31 39 21 3 0 0 0 0 0 0 0 0 1 2 5 3 1 0 0 0 0 0 0 0 0
127 127 131 134 145 150 152 152 149 145 136 131 130 131 132 131 128 127 127 128 128 127 125 124 123 122 121 120 119 119 121 121 122 121 124 124 121 117 115 113 110 107 103 100 98 97 97 97 96 93 89 86 82 79 77 74 70 67 66 66 65 64 64 63 62 61 61 60 59 59 59 60 62 64 66 68 70 70 70 69 68 67 65 63 62 60 58 57 54 51 48 45 43 41 40 39 39 40 41 42 43 43 42 42 41 40 38 36 35 33 31 29 27 26 24 22 20 18 16 15 14 13 11 10 10 10 10 11 11 12 12 13 14 14 14 13 13 13 13 12 11 11 12 13 15 17 17 16 11 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 1 2 3 3 3 4 5 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 2 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 5 5 6 8 9 9 10 11 11 12 12 12 13 13 13 12 13 13 14 14 14 13 12 11 11 10 11 11 12 12 11 10 11 12 13 13 12 11 10 10 11 11 12 12 11 11 11 11 12 13 15 17 18 19 20 19 20 20 22 22 23 23 24 25 27 28 29 30 30 31 31 31 31 31 31 32 31 30 29 30 29 29 29 29 28 27 28 29 30 30 30 30 30 30 31 32 33 35 38 41 42 43 44 45 47 49 52 54 57 60 64 68 72 76 78 80 81 83 87 91 96 99 103 108 115 118 117 114 114 116 119 121 123 125 127 131 134 136 134 136 142 148 151 155 159 163 167 174 185 194 194 185 170 153 136 123 117 113 111 110 115 115 111 105 104 105 107 107 106 103 96 87 79 72 76 82 87 93 94 93 93 94 93 90 87 87 87 88 86 84 83 84 82 78 73 67 58 48 38 29 20 11 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 1 2 3 4 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 7 12 16 20 23 24 26 28 29 31 31 31 31 29 28 25 23 22 20 19 20 21 23 25 27 29 32 34 36 36 38 39 41 40 39 37 35 33 33 37 39 38 36 33 30 26 25 18 10 14 14 9 0 0 0 0 0 0 0 0 0 1 4 5 4 2 0 0 0 0 0 0 0 0
125 122 120 122 125 133 141 146 149 148 141 131 126 124 123 124 124 125 125 125 125 125 124 124 122 122 121 120 119 119 120 121 120 119 118 117 115 113 111 109 106 102 100 98 97 96 96 97 97 94 90 85 82 77 73 70 68 65 64 64 63 63 63 62 61 61 60 58 58 58 58 59 60 62 64 66 67 68 67 67 65 64 62 60 59 57 55 53 51 49 46 44 41 40 39 38 38 39 39 41 41 41 41 40 38 37 35 33 31 29 27 26 24 22 21 19 17 15 13 12 11 10 9 8 8 8 9 9 9 9 10 11 11 11 11 11 11 11 10 10 9 9 10 11 13 15 16 14 10 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 1 2 2 2 2 3 4 4 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 4 4 4 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 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 1 2 2 2 3 4 5 6 7 8 9 10 10 11 12 13 13 13 13 13 13 13 14 14 15 14 14 14 13 13 11 10 10 11 12 11 10 10 11 12 13 12 11 11 11 12 12 12 11 11 12 11 12 13 14 15 17 18 18 18 18 20 20 21 22 23 23 22 23 25 26 27 27 27 29 30 30 30 30 29 29 28 29 29 28 27 27 27 27 27 26 26 27 28 29 28 27 27 28 28 28 30 32 35 38 41 43 44 45 47 49 52 54 56 59 64 67 71 74 77 81 83 84 87 91 94 98 101 104 109 116 118 116 117 119 122 127 128 129 131 136 138 138 136 136 138 142 149 155 158 157 158 163 170 181 185 182 173 158 143 130 123 122 123 122 124 120 113 108 105 104 105 106 105 103 97 89 81 74 74 78 84 90 93 94 95 95 95 93 87 84 82 83 82 82 81 81 80 77 72 66 58 50 41 31 20 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 1 1 2 3 4 5 5 5 5 5 5 4 4 4 4 4 4 3 3 4 5 9 13 19 22 24 26 29 31 32 33 32 31 30 29 28 25 23 22 21 21 22 24 26 28 31 35 38 40 37 33 31 29 26 21 16 13 11 9 8 10 15 17 16 14 8 5 3 2 0 1 1 0 0 0 0 0 0 0 0 0 3 9 9 5 3 1 0 0 0 0 0 0 0
127 125 123 123 125 130 134 138 142 145 142 135 133 129 125 125 125 126 126 125 125 125 126 125 123 122 120 120 120 120 119 120 121 119 117 114 112 110 107 105 103 101 99 98 96 94 93 91 90 86 83 79 76 73 71 68 66 64 62 61 61 61 60 60 59 58 58 57 57 57 58 58 58 59 60 62 64 63 62 62 61 60 58 57 56 55 51 49 48 47 45 42 40 38 37 36 37 38 38 38 37 37 37 36 35 34 32 30 28 26 24 22 21 18 16 14 13 11 10 9 8 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 8 8 7 6 7 8 10 12 13 12 8 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 1 1 2 2 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 5 6 7 8 9 9 10 12 11 12 13 13 13 13 13 14 15 15 15 15 15 15 15 15 13 11 11 11 12 11 10 10 10 11 12 12 11 11 11 12 13 13 13 12 12 12 13 14 15 16 17 18 18 18 18 18 19 20 21 23 24 24 23 24 25 26 27 28 28 28 28 28 28 28 28 27 27 27 26 26 26 26 25 25 25 25 25 25 25 24 24 24 24 24 25 27 30 31 33 35 39 42 45 47 48 51 53 56 59 63 67 70 73 78 82 86 88 89 92 96 100 105 109 110 112 116 120 123 124 126 129 128 129 133 138 137 136 136 138 140 144 150 157 161 161 160 160 163 170 176 177 170 155 141 131 127 128 129 127 124 120 116 111 105 102 102 103 102 100 95 89 84 78 76 78 82 88 92 95 96 99 99 95 89 83 79 78 79 79 79 79 78 75 71 66 59 52 43 31 20 10 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 1 1 2 3 4 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 5 7 10 14 17 19 22 26 28 31 32 32 31 30 28 27 26 25 24 23 22 23 24 27 29 34 37 40 38 33 25 19 14 10 6 4 3 2 1 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 13 13 5 2 1 0 0 0 0 1 2 2
128 127 125 125 125 126 127 127 129 129 128 139 142 136 130 127 127 126 126 127 128 128 127 127 126 124 122 121 121 120 120 119 118 117 116 113 110 108 105 103 102 100 98 97 95 93 91 88 86 84 80 76 74 73 70 67 65 62 61 60 59 59 58 57 57 56 56 56 57 57 57 57 57 58 58 58 58 58 57 57 56 54 53 53 52 51 48 47 46 44 41 39 37 36 35 34 35 35 35 35 35 34 34 33 32 30 28 26 24 23 21 19 16 14 12 11 10 9 8 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 6 6 6 5 5 5 6 7 9 10 9 6 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 1 2 3 3 3 3 3 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 4 5 6 7 9 9 10 11 11 12 12 13 14 14 15 16 17 17 17 17 16 16 16 16 15 14 14 13 13 12 11 10 10 11 12 12 13 11 11 12 13 13 13 13 13 13 13 14 15 16 17 17 17 17 18 18 19 20 21 22 22 22 22 23 23 23 24 25 26 25 26 26 27 27 26 26 26 26 25 25 25 24 23 23 23 23 23 22 22 21 23 23 23 22 24 25 27 29 31 32 34 38 42 45 47 49 51 54 57 60 65 70 74 79 84 88 91 92 94 96 100 106 111 116 121 122 124 127 128 129 130 131 130 131 135 135 134 133 137 142 147 153 156 160 162 162 160 159 162 169 170 165 150 137 128 128 130 131 131 125 121 117 113 103 96 94 97 98 98 95 91 85 79 77 77 80 86 90 94 99 108 107 101 93 84 78 75 77 79 81 80 77 73 70 66 62 56 46 34 21 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 1 1 1 2 3 4 4 5 5 4 3 3 3 3 3 3 2 3 3 4 5 6 9 11 14 17 19 22 25 28 30 31 32 32 31 29 27 26 26 25 25 25 26 27 33 36 37 35 27 18 13 7 3 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 5 11 13 12 6 3 0 0 0 0 1 1 2 4
128 128 127 128 128 128 128 126 126 126 132 136 140 140 132 128 127 126 127 128 130 128 125 125 125 125 122 121 121 120 120 118 116 115 113 111 108 105 104 102 100 99 97 96 93 91 88 86 85 83 80 78 76 73 70 68 65 63 62 61 60 59 56 54 54 54 54 55 56 55 55 56 55 55 56 56 56 55 53 52 49 48 48 47 46 45 43 43 41 39 37 36 35 33 32 32 32 32 33 32 32 31 30 29 28 27 25 23 21 19 17 15 12 10 9 8 7 7 6 6 5 5 5 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 6 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 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 1 1 2 2 1 2 3 4 5 6 8 8 9 10 11 12 13 13 14 15 15 16 17 18 18 19 19 18 17 17 17 17 15 15 15 14 13 12 11 10 10 11 12 12 11 12 12 12 13 14 14 14 14 14 14 15 16 17 17 17 17 18 18 18 19 20 20 21 21 21 22 22 22 23 23 25 25 24 24 24 24 24 24 24 24 24 24 23 22 22 22 22 22 21 21 20 19 20 20 21 21 22 23 25 27 29 31 33 35 37 40 43 46 49 52 54 58 63 69 74 79 84 87 91 95 96 97 99 103 107 111 116 117 119 121 125 128 132 134 134 134 135 135 134 134 138 144 150 157 160 162 160 157 153 153 158 162 162 158 147 136 129 128 131 133 135 131 126 120 114 103 93 87 90 92 94 93 90 85 80 76 76 79 84 89 94 101 107 108 105 97 87 79 72 71 74 77 79 77 73 69 66 64 61 52 39 24 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 1 1 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 4 5 6 7 10 12 15 18 20 24 28 31 32 33 34 32 31 29 28 28 28 29 30 30 31 34 34 30 23 14 5 2 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 5 3 1 0 0 0 1 1 2 4 6
127 127 128 132 135 135 136 134 134 136 131 130 130 131 131 128 127 126 126 127 125 124 123 123 123 123 122 121 120 119 118 117 116 114 111 108 105 104 102 101 99 97 95 94 92 90 88 86 84 82 81 78 77 74 71 68 65 63 62 61 60 58 55 54 53 53 53 54 54 54 53 53 54 54 55 54 53 52 50 47 45 45 43 42 41 39 38 37 37 35 34 32 31 30 30 30 30 30 31 31 30 28 27 27 26 24 22 20 18 16 13 11 9 8 7 6 6 5 5 4 4 4 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 1 1 2 1 1 2 2 3 3 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 4 4 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 3 4 5 7 8 9 10 11 11 13 14 15 16 16 16 17 18 19 19 20 20 20 20 20 19 18 16 15 15 14 13 12 12 11 10 10 11 11 11 11 12 12 13 13 14 14 14 14 14 14 15 16 17 17 17 18 19 19 19 18 19 20 20 20 20 20 20 20 21 21 21 22 22 22 22 22 22 22 22 22 21 20 20 21 20 19 19 20 20 19 19 19 19 20 21 21 23 24 25 28 30 32 33 35 37 39 41 45 49 52 56 61 67 72 77 81 85 89 94 97 98 99 101 103 105 109 111 115 119 122 127 131 135 136 137 137 135 136 137 141 145 149 153 157 162 165 166 161 158 159 162 161 156 145 136 129 126 128 130 132 130 125 119 114 103 92 83 83 87 90 91 89 86 82 77 76 77 82 88 94 102 107 108 107 102 92 83 74 70 70 72 75 75 73 70 67 65 63 57 45 29 14 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 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 4 5 7 9 11 13 17 21 26 30 34 35 34 34 33 31 31 30 30 31 32 33 35 33 31 27 18 11 6 3 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 6 7
135 133 132 133 134 137 139 136 135 133 130 128 126 126 125 124 124 123 122 121 120 119 120 121 121 121 121 121 119 118 117 116 115 113 110 108 105 103 101 99 97 95 93 93 92 90 89 87 85 84 83 80 76 73 71 68 65 63 63 61 59 57 55 54 53 53 54 54 54 53 52 52 53 53 53 53 51 49 47 44 43 41 39 38 38 37 36 35 33 31 30 28 27 27 27 28 28 29 29 28 28 27 26 25 24 22 20 17 15 12 10 9 7 6 6 5 4 4 4 3 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 1 1 1 3 3 4 6 7 9 11 11 11 12 13 14 15 16 16 17 17 18 19 19 20 22 22 21 21 20 20 19 16 15 13 13 12 11 11 12 12 11 11 11 11 12 12 12 12 13 13 13 14 15 15 16 17 17 17 17 18 18 18 17 17 18 19 19 19 18 18 18 19 19 19 19 20 20 19 19 20 19 19 19 18 18 18 19 19 18 17 17 18 18 19 19 18 18 19 20 21 22 23 26 28 30 32 35 36 37 37 41 45 48 53 57 62 68 73 79 82 86 90 93 96 98 100 102 104 105 107 110 113 117 122 127 132 135 138 138 138 137 138 140 144 148 150 152 156 161 166 165 162 158 159 162 162 157 143 133 129 129 132 133 128 121 115 109 99 89 80 78 81 84 88 87 85 82 78 77 77 81 88 94 101 107 110 109 106 97 88 79 73 69 66 69 71 72 71 68 65 63 60 51 37 20 9 2 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 1 1 1 1 1 1 1 1 1 2 3 4 6 9 11 14 18 23 28 33 36 38 36 35 34 33 33 33 33 34 34 34 33 29 23 18 11 6 3 3 3 2 2 1 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 0 0 0 1 3 6 7
145 143 141 138 139 141 143 143 142 140 138 136 133 131 129 128 126 124 121 120 118 119 121 123 125 125 123 121 118 116 114 112 112 110 108 106 103 101 98 96 94 93 92 93 93 92 91 89 87 84 83 80 76 72 70 68 66 65 64 62 59 57 55 54 54 54 55 55 54 53 52 52 52 52 52 51 48 45 43 41 40 38 36 35 35 34 33 31 29 27 25 23 23 23 24 25 26 27 27 26 26 25 24 23 21 19 17 14 12 9 8 6 6 5 4 4 4 3 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 1 1 2 4 5 6 7 8 9 9 10 11 11 12 13 14 15 16 17 17 17 18 19 20 21 21 21 22 21 20 18 16 15 14 12 11 11 12 12 11 11 11 11 12 12 13 13 13 13 14 15 15 15 16 16 17 17 17 18 17 17 16 16 16 16 17 18 18 18 18 18 18 18 19 19 19 18 17 17 17 17 16 16 16 17 17 18 17 16 16 16 17 18 19 19 19 20 20 21 21 22 24 26 29 31 33 34 34 35 38 40 43 46 49 53 60 67 72 76 81 86 90 93 96 98 101 103 105 106 109 112 116 120 125 130 135 140 143 143 141 140 140 144 147 149 149 153 157 162 164 162 158 155 156 157 156 148 142 138 137 137 135 131 123 114 106 95 86 79 74 75 78 84 85 85 83 79 77 77 79 86 94 100 106 109 110 108 102 94 85 76 69 64 65 68 71 71 68 65 62 61 56 45 28 14 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 1 1 1 1 1 1 1 1 1 1 1 2 3 5 7 9 12 16 20 25 30 34 37 38 38 37 36 35 35 35 35 35 35 33 29 24 19 14 10 7 6 6 7 7 5 4 4 4 4 6 3 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 2 3 3
147 147 143 140 138 138 140 142 142 141 140 142 142 144 142 141 136 135 131 127 125 121 122 126 128 129 126 121 117 114 112 110 109 108 106 103 100 98 96 93 91 90 91 93 93 92 89 87 85 82 79 77 73 70 68 68 67 65 63 61 59 57 55 55 55 56 55 54 53 52 52 51 51 50 49 48 45 43 40 38 37 35 34 33 32 32 30 28 25 23 21 21 21 22 23 24 25 24 24 24 24 23 22 21 19 16 14 11 10 8 6 5 4 4 3 3 3 2 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 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 1 0 0 0 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 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 1 1 1 1 2 4 6 6 7 9 9 10 10 10 11 12 12 14 16 17 17 18 18 18 18 18 19 21 21 22 22 21 20 19 17 15 13 12 11 10 11 11 11 11 11 12 12 12 12 12 13 14 15 15 16 16 16 16 17 16 16 16 15 15 15 14 14 15 16 17 17 18 17 18 18 18 18 18 17 17 17 17 16 16 17 17 16 16 16 16 15 15 16 17 17 18 18 19 19 19 20 21 22 23 23 26 29 31 29 29 32 34 36 37 40 42 46 52 58 64 69 75 80 85 89 93 96 99 102 105 107 110 114 118 121 124 127 132 139 144 146 146 145 144 146 146 146 145 152 157 160 159 159 157 151 148 146 146 146 144 142 141 139 137 135 129 122 115 104 92 82 73 71 73 80 84 86 84 81 78 76 78 83 89 95 102 106 109 108 105 100 91 81 72 65 63 64 67 70 68 65 62 62 59 53 40 24 11 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 1 1 1 1 1 1 1 1 1 1 1 3 6 9 12 16 21 26 30 34 38 40 40 40 39 37 37 37 35 33 31 28 25 20 17 14 12 11 12 13 14 14 13 13 13 13 11 8 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 1 1
144 143 143 141 136 135 135 136 137 136 134 134 137 140 141 141 139 138 134 130 128 126 122 122 124 124 122 119 114 110 107 106 105 104 103 100 97 94 92 90 89 90 92 92 92 90 87 85 82 79 76 73 71 69 68 66 65 64 63 61 58 57 56 56 56 55 54 53 52 51 51 51 50 48 46 44 43 40 38 36 33 31 31 30 29 27 25 23 21 19 18 18 18 19 21 22 22 22 21 21 21 20 19 18 16 13 11 9 8 7 6 5 4 3 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 1 1 2 2 2 3 3 3 3 3 3 4 4 3 4 4 4 4 4 4 4 4 3 3 3 3 3 2 1 1 1 1 1 1 1 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 5 6 8 9 10 10 11 12 11 11 11 12 14 16 17 18 19 19 18 17 17 18 20 21 22 22 21 21 21 20 18 16 13 11 11 10 11 11 11 12 12 13 13 13 12 12 13 14 14 14 14 14 15 15 15 14 14 14 14 14 14 14 15 16 16 17 17 18 18 18 18 19 19 18 18 17 17 17 17 17 17 17 17 17 16 16 15 15 15 16 17 17 18 20 21 21 22 22 23 23 26 28 29 29 31 32 34 35 36 37 39 42 46 51 56 61 66 73 79 84 88 93 97 100 103 106 109 113 117 121 124 128 132 137 142 147 152 151 150 148 145 145 147 154 159 163 162 161 157 148 144 142 141 141 142 142 142 139 135 131 129 124 118 110 98 86 76 72 73 77 83 86 87 83 79 76 76 81 87 92 99 103 106 106 105 103 97 88 78 69 64 63 64 67 68 66 62 61 61 60 51 38 22 6 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 1 1 1 1 1 1 1 2 4 7 11 15 20 25 30 36 40 42 43 43 41 40 39 38 34 30 28 26 23 20 19 18 17 17 18 20 22 24 25 23 22 17 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
142 141 140 138 135 132 129 127 126 127 127 126 127 130 133 133 132 130 128 124 123 121 119 117 117 116 115 113 109 105 104 102 101 100 97 94 92 90 89 87 87 88 89 89 89 87 85 82 81 78 74 72 69 68 68 66 64 63 62 61 59 57 56 56 56 55 54 53 52 52 51 51 50 47 45 41 38 37 36 33 31 29 28 26 24 23 21 19 17 15 14 15 15 16 18 19 19 19 19 19 18 17 16 14 12 11 9 8 7 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 6 4 2 2 2 3 3 3 3 3 3 3 3 4 4 3 4 4 4 4 4 3 3 3 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 1 1 1 1 1 1 0 0 0 1 2 3 4 6 7 8 10 11 11 10 10 11 12 13 13 15 16 17 18 19 19 19 19 18 18 19 21 22 23 23 23 22 21 20 18 15 13 12 11 11 12 13 13 12 12 12 12 12 11 12 12 12 12 13 13 13 14 14 13 13 13 13 13 13 14 15 16 17 17 18 18 18 18 18 18 19 19 19 19 18 17 18 18 18 18 18 18 18 18 18 18 17 17 18 18 19 21 23 25 26 25 26 27 27 28 29 29 31 33 35 37 38 39 41 42 45 49 52 55 60 67 72 78 84 88 93 97 101 104 106 109 113 118 122 128 133 136 140 145 152 155 155 152 148 149 152 157 161 164 162 160 157 153 149 148 149 152 150 148 148 147 140 129 123 118 113 108 99 90 80 74 73 76 81 85 87 84 81 77 76 80 86 92 98 101 104 106 107 106 105 97 88 79 70 66 64 65 65 64 61 60 61 63 61 53 40 24 12 4 0 0 0 0 0 0 0 0 0 0 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 4 6 10 14 18 24 30 36 41 44 45 44 43 41 39 36 31 28 25 24 24 24 24 25 25 26 27 29 31 33 35 27 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
143 140 138 136 132 129 126 124 124 122 122 121 121 121 122 120 119 116 114 114 114 113 112 110 109 108 107 106 104 103 102 99 97 94 92 89 88 87 85 84 87 90 89 86 85 86 84 81 78 75 72 70 70 69 67 66 65 62 60 58 56 56 56 55 55 54 53 52 52 53 53 52 49 46 42 38 36 34 32 31 30 29 26 23 20 19 17 15 13 13 12 13 15 15 15 15 16 16 16 16 15 14 12 11 10 9 8 7 6 5 4 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 9 9 5 3 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 3 3 3 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 1 1 1 1 1 0 0 1 1 2 3 4 5 6 8 8 9 11 12 12 12 12 13 14 15 16 16 17 17 18 19 19 19 19 19 20 20 20 20 22 23 23 22 20 18 16 14 12 11 11 11 12 13 13 12 11 11 11 11 10 11 11 11 11 11 12 12 13 13 12 12 12 12 13 14 15 16 17 18 18 19 19 20 20 20 20 20 20 20 20 19 19 20 21 21 20 20 20 21 21 21 21 21 21 22 23 25 27 29 31 31 31 31 31 31 31 31 31 31 32 35 38 40 42 44 46 47 49 51 54 60 65 70 75 80 86 92 96 100 103 106 110 114 119 125 132 139 142 146 150 155 157 156 154 155 157 158 160 161 160 160 159 157 155 150 148 151 153 153 151 145 137 127 118 112 107 101 93 86 80 75 71 70 77 82 85 84 80 77 76 80 86 93 99 104 107 110 110 110 109 105 99 90 80 73 68 66 65 64 62 61 61 63 65 64 58 41 25 12 3 1 0 0 0 1 2 3 4 4 3 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 6 10 13 18 25 32 38 43 46 47 46 44 42 40 36 31 29 28 27 26 27 28 28 29 30 31 36 37 35 33 25 17 9 4 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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2 4 5 5 4 4 4 5 5 6 6 6 5 5 4 3 2 1 1 0 1 2 2 3 4 4 4 4 4 5 7 8 10 11 12 12 12 13 16 19 23 27 31 34 37 39 41 42 42 41 39 36 33 30 26 24 22 21 19 18 18 18 19 22 25 27 29 30 32 33 33 33 32 31 30 28 26 24 24 25 24 23 22 20 19 17 16 15 14 12 10 9 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 5 6 6 6 5 5 4 5 5 6 7 8 9 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 14 16 19 21 23 26 29 33 35 38 39 40 40 38 36 32 29 27 27 31 35 39 42 35 28 25 23 22 20 18 17 18 19 22 21 19 18 17 16 16 16 17 19 20 22 22 22 23 24 26 28 30 33 35 38 42 47 51 57 62 66 71 76 81 87 93 99 107 116 122 128 139 148 154 154 149 144 139 139 140 144 147 151 153 154 155 156 151 145 144 143 148 156 174 189 196 201 204 223 246 219 187 155 122 88 57 30 16 9 13 20 37 50 40 29 18 14 16 28 46 40 29 21 15 14 13 13 10 4 2 0 0 0 0 0 1 2 6 9 11 8 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 6 6 6 5 4 4 4 2 1 0 0 0 0 0 0 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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