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 7 8 9 8 8 7 6 6 4 3 1 -1 -3 -4 -3 -2 -2 -1 -0 1 2 3 5 6 8 9 10 10 10 10 9 8 6 5 4 3 3 3 5 7 10 15 21 28 34 40 45 48 48 46 41 34 27 21 15 13 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 9 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 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 8 8 8 8 8 8 8 8 8 8 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 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 6 5 6 7 9 12 13 13 12 11 10 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 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 13 13 12 11 10 9 9 10 10 11 11 11 10 10 11 11 12 12 11 11 10 11 13 17 20 25 30 34 34 32 28 22 16 13 12 11 10 9 7 4 2 2 6 13 19 23 26 25 22 20 19 18 17 16 15 14 13 12 11 11 11 11 11 11 10 9 8 8 7 7 6 6 6 6 7 7 8 8 7 6 3 -3 -9 -11 -9 -3 4 10 12 13 12 10 9 8 8 10 12 12 12 11 11 10 10 9 8 8 8 8 8 10 11 12 12 11 9 8 9 10 10 nan
nan 6 7 8 8 8 7 6 6 5 4 2 -0 -3 -4 -5 -4 -3 -2 -1 0 2 3 4 6 8 9 10 11 11 11 10 9 8 7 5 4 3 3 3 3 5 8 12 16 23 29 36 41 45 47 46 43 37 32 25 20 16 13 12 11 10 10 10 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 10 10 10 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 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 6 5 6 7 9 11 12 12 12 10 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 10 11 11 12 12 13 13 12 11 10 9 9 10 10 11 11 10 10 9 9 10 11 11 11 10 9 9 10 13 18 22 27 32 35 35 32 27 20 16 13 12 11 9 7 5 3 2 5 10 16 21 24 24 22 19 18 17 16 16 15 13 12 11 11 11 11 11 12 12 11 11 10 9 9 8 7 7 6 6 6 7 7 8 7 6 4 -0 -6 -9 -7 -3 3 9 12 13 12 11 9 9 10 12 13 13 12 11 10 10 10 10 9 8 8 8 10 11 12 12 11 9 7 7 8 10 11 nan
nan 4 5 7 7 7 7 6 6 6 5 4 1 -2 -4 -5 -5 -4 -3 -1 -0 1 2 4 5 7 9 10 11 11 11 11 10 9 8 7 6 5 4 3 3 3 4 7 10 14 19 26 31 38 42 45 46 45 41 36 31 25 21 17 14 12 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 9 9 9 9 8 9 9 9 9 8 8 8 9 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 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 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 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 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 9 8 8 7 7 7 7 8 8 9 9 9 8 6 6 6 7 8 10 11 12 11 10 9 8 8 7 7 8 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 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 10 10 11 12 13 13 13 12 11 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 8 9 11 14 18 24 29 33 35 34 31 25 20 15 13 11 9 7 5 3 2 4 8 13 18 22 23 22 20 17 16 16 15 15 13 12 12 11 11 12 12 12 12 12 12 11 11 10 9 9 8 8 7 7 7 7 8 8 7 5 0 -3 -5 -5 -2 3 7 10 11 11 11 10 10 11 13 14 14 13 11 9 10 10 11 10 9 9 9 10 12 13 13 10 8 6 6 7 9 12 nan
nan 2 2 4 6 6 6 6 5 5 5 5 3 1 -2 -5 -6 -6 -4 -3 -1 1 2 3 5 6 7 9 10 11 11 11 11 10 9 9 8 8 7 6 5 4 4 4 5 8 12 16 22 28 34 38 42 45 45 45 41 37 32 26 21 16 13 12 11 11 11 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 8 9 8 8 7 7 7 7 8 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 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 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 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 12 12 12 12 11 10 10 9 8 7 7 7 7 8 9 9 9 9 7 6 6 6 8 10 11 11 11 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 10 11 11 12 13 13 13 13 12 11 10 9 9 9 10 10 10 9 9 8 9 9 10 11 10 9 8 7 8 10 14 20 25 29 33 35 33 29 23 18 14 10 9 8 6 4 3 4 6 9 15 20 22 22 20 18 16 16 16 15 14 13 13 12 13 13 13 13 13 13 12 12 11 11 11 10 10 9 9 8 7 7 8 8 7 6 3 -1 -3 -3 -1 3 6 9 10 11 10 10 10 11 13 15 15 14 12 10 10 11 11 11 10 9 8 10 12 14 13 12 9 6 5 6 9 12 nan
nan -0 -0 1 3 4 5 5 4 4 4 4 4 2 0 -3 -5 -6 -6 -4 -2 -0 1 2 4 4 6 7 8 9 10 10 10 10 10 10 10 10 10 9 8 7 5 4 4 4 6 9 14 18 24 28 34 38 43 45 46 46 43 39 32 26 20 16 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 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 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 11 12 12 13 13 13 12 11 10 9 8 7 7 7 8 9 10 10 9 8 7 6 7 8 9 10 11 11 10 9 8 8 7 7 7 7 7 7 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 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 11 11 12 12 13 13 13 13 12 10 10 10 9 9 9 9 9 9 8 8 9 10 11 11 10 9 7 7 8 10 15 19 25 30 34 34 31 26 21 15 11 10 9 7 6 4 3 4 7 13 18 21 23 22 19 17 17 16 16 15 14 14 14 14 14 14 14 13 13 13 12 11 11 11 11 11 10 10 8 7 7 7 7 7 6 4 2 -1 -2 -0 2 5 8 10 10 10 9 10 11 13 15 16 15 13 11 11 11 11 11 10 8 8 10 12 14 14 13 10 8 5 6 8 10 nan
nan -1 -2 -2 -1 2 3 4 4 4 4 4 4 3 2 -0 -3 -5 -5 -5 -3 -1 0 2 3 3 4 4 5 6 7 8 9 10 10 10 10 11 11 10 10 9 8 6 5 4 4 6 8 11 16 20 25 29 35 39 43 45 47 46 42 38 31 25 19 16 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 7 8 8 8 8 8 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 8 8 8 8 8 8 8 9 9 9 10 10 10 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 11 11 13 13 14 14 13 12 11 10 9 8 7 7 8 9 10 11 10 9 8 7 7 8 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 7 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 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 12 12 13 13 13 13 12 11 11 10 9 9 9 9 9 9 9 8 8 9 10 11 11 10 8 7 6 7 10 14 19 26 31 33 32 29 22 16 13 11 10 8 7 5 4 4 6 11 16 20 23 24 22 19 18 16 15 15 15 15 15 15 14 14 14 13 13 12 12 11 11 11 12 12 11 10 9 8 7 6 6 6 5 4 2 -0 -2 -1 1 4 7 9 9 9 9 10 11 13 15 16 16 14 13 12 11 12 11 10 8 8 8 10 13 15 14 12 9 7 6 7 9 nan
nan -0 -3 -4 -4 -1 0 2 3 4 4 4 4 4 3 2 -0 -2 -3 -4 -3 -2 -0 1 2 2 3 3 3 4 5 6 7 9 10 10 11 11 11 11 11 10 9 8 7 5 5 5 6 8 10 14 17 21 26 30 35 39 43 46 47 44 41 35 29 23 18 15 13 12 12 11 11 11 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 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 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 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 9 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 13 12 11 11 10 10 11 12 13 14 14 14 13 12 11 10 8 7 7 8 9 10 11 11 10 9 8 8 8 9 10 11 10 10 9 8 8 7 7 7 7 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 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 14 14 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 8 8 8 9 10 11 11 9 8 6 6 7 10 14 20 26 30 31 30 25 20 16 13 11 10 8 6 4 4 6 11 15 21 25 25 23 21 18 16 15 15 14 14 14 14 14 14 14 13 12 12 11 11 11 11 12 12 12 11 10 9 7 6 5 5 4 3 1 -1 -2 -2 -0 3 6 8 8 9 10 10 11 12 13 14 14 15 15 14 14 14 13 12 10 8 7 9 11 14 14 13 11 9 8 9 10 nan
nan 4 -0 -4 -5 -4 -2 -0 2 3 4 5 5 6 5 4 3 1 -0 -1 -1 -1 -1 0 1 2 3 3 3 3 4 5 6 7 9 10 10 10 10 10 10 10 9 8 7 6 6 5 5 6 7 9 11 14 17 21 25 30 34 39 43 45 46 44 41 34 28 22 17 14 13 12 11 11 11 11 11 11 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 8 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 9 8 8 9 9 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 12 13 13 13 13 12 11 11 10 11 11 12 13 14 14 14 13 12 11 9 8 8 8 9 11 11 12 11 10 9 8 8 9 10 10 10 10 9 9 8 7 7 7 7 7 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 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 13 14 14 15 15 15 15 16 16 16 15 15 15 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 8 8 8 9 10 11 10 9 7 6 6 6 9 15 20 25 29 30 28 24 20 16 13 12 10 7 5 4 6 11 17 23 27 27 25 22 18 15 14 13 13 13 13 13 13 13 13 12 11 11 11 10 11 11 11 12 12 12 11 10 9 7 6 5 4 3 1 -1 -2 -3 -1 2 5 7 8 9 9 9 10 11 11 11 12 13 14 15 16 16 16 14 12 10 8 7 9 11 13 13 11 10 10 12 13 nan
nan 8 4 -0 -4 -5 -4 -3 -0 2 3 5 6 6 7 6 5 4 3 2 1 1 0 0 1 2 3 4 4 5 5 5 6 7 8 9 9 10 9 9 9 9 8 8 7 7 6 6 5 5 6 6 7 9 11 13 16 20 24 29 34 39 41 44 45 42 39 32 27 21 18 14 12 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 11 11 10 10 11 11 12 13 14 14 14 13 12 11 9 9 9 10 11 12 12 12 11 10 9 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 13 14 14 15 15 16 17 17 17 18 18 18 17 17 17 16 15 15 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 7 6 5 6 10 15 20 26 30 30 28 25 21 17 14 12 9 5 4 7 12 19 26 29 29 27 22 17 14 13 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 10 9 8 7 5 4 2 -0 -3 -4 -2 1 5 8 9 8 8 8 9 10 10 10 10 11 12 14 16 17 17 17 15 12 9 7 7 9 11 12 12 11 12 15 16 nan
nan 12 8 5 0 -3 -4 -4 -2 0 2 4 5 6 7 8 8 7 6 5 4 4 2 2 2 2 3 5 6 6 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 9 11 13 17 20 25 29 33 38 40 43 42 40 36 31 26 21 18 15 13 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 6 6 7 7 8 8 8 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 9 9 9 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 11 11 12 13 14 15 14 13 12 10 10 9 10 11 12 13 12 11 10 9 9 9 10 10 10 10 9 9 8 8 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 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 13 14 15 16 16 17 18 18 19 19 19 20 19 19 19 18 17 16 16 15 15 14 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 8 7 5 5 7 9 14 21 27 30 30 29 26 22 18 14 10 6 6 9 15 22 30 32 31 28 23 17 14 12 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 12 12 12 12 11 10 9 7 6 4 1 -2 -3 -2 0 5 8 9 8 7 8 9 9 10 10 10 11 11 13 15 16 17 18 18 15 12 9 7 9 11 12 12 13 15 17 19 nan
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nan 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 11 11 12 12 11 11 12 12 12 12 13 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 16 15 15 15 15 15 15 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 14 14 14 15 15 16 17 17 17 17 17 18 18 18 18 17 16 16 16 17 16 15 15 14 14 14 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 15 15 15 15 14 15 16 16 16 16 17 17 17 18 18 18 17 18 18 18 18 17 18 18 18 18 18 18 18 17 17 17 17 16 16 16 15 15 15 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 13 13 13 13 13 13 13 13 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 14 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 nan
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nan 12 12 12 12 12 12 13 12 12 13 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 13 12 12 12 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 12 12 11 11 11 12 12 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 12 12 11 11 11 10 9 9 9 9 8 6 6 6 6 5 4 3 3 4 4 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 8 9 10 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 12 12 12 12 13 13 14 14 14 14 14 13 13 13 12 12 11 11 10 10 10 9 9 9 9 9 9 8 9 9 10 10 10 10 11 11 12 12 12 12 13 13 13 13 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 15 15 15 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 12 13 12 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 9 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 10 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 15 15 15 14 14 13 12 12 12 11 10 10 9 9 8 8 7 7 7 8 8 8 8 9 9 9 9 10 11 11 11 11 12 12 12 12 12 13 12 13 13 14 14 14 14 14 15 15 15 15 15 15 16 15 15 15 15 14 14 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 12 13 13 12 12 12 12 12 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
81 83 79 74 68 63 58 52 44 34 28 28 28 30 26 19 17 17 17 17 16 15 11 9 10 10 10 9 7 5 3 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 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 1 2 2 2 2 2 2 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 3 4 6 9 12 16 18 18 19 21 20 17 15 19 20 19 17 18 18 19 20 22 25 27 26 23 21 20 18 19 19 22 22 18 17 14 12 9 8 8 9 10 12 15 18 20 22 25 28 30 32 34 33 31 30 30 32 32 32 32 33 32 32 33 34 34 31 26 22 21 21 21 20 20 21 21 21 20 20 21 22 23 25 27 27 27 28 28 29 29 29 30 30 31 33 34 35 37 38 38 39 42 47 50 52 54 58 61 64 67 67 66 64 63 62 62 61 62 62 62 63 63 63 62 62 61 59 61 65 71 76 79 81 81 80 77 79 79 78 76 75 75 76 79 84 91 98 103 105 102 97 92 91 101 120 141 158 154 143 130 119 113 109 104 100 95 91 87 81 75 73 76 82 87 93 100 111 121 130 139 145 150 161 169 176 181 185 188 197 204 209 212 210 213 221 232 241 247 246 250 260 274 294 326 351 364 369 372 375 381 401 420 431 430 404 386 378 377 379 375 358 352 354 357 352 355 363 372 379 380 375 364 354 346 341 335 326 325 335 354 373 381 379 367 349 329 302 281 269 265 267 269 276 282 284 281 275 265 262 252 230 200 182 174 172 184 210 234 244 225 198 175 163 184 202 209 200 177 154 133 119 118 136 169 218 240 244 233 202 169 139 114 92 68 50 35 19 10 18 49 100 139 166 185 209 249 255 232 188 134 101 73 49 32 23 21 19 16 14 11 9 7 4 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
73 78 81 78 74 68 63 57 49 39 32 26 26 26 26 21 15 15 16 17 16 14 11 9 8 10 10 9 8 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 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 1 1 1 2 2 2 2 2 1 1 2 2 3 4 5 7 10 14 15 16 18 19 17 15 19 22 23 20 19 18 17 16 18 20 23 27 28 26 23 22 22 20 18 19 19 18 16 13 11 10 9 8 10 12 15 17 20 22 24 26 29 34 36 36 35 32 30 31 32 33 34 34 34 34 34 35 36 35 30 26 24 22 22 22 22 22 21 21 21 20 20 20 22 24 26 28 28 28 29 29 29 29 29 30 30 32 33 35 37 38 38 39 40 43 47 49 52 55 58 61 63 65 65 65 66 66 66 66 65 65 64 64 64 64 64 64 64 64 63 63 66 72 79 85 88 90 89 86 84 83 82 80 78 78 78 79 84 92 98 103 105 103 98 92 92 102 120 139 153 154 142 129 118 112 107 103 99 95 91 87 81 76 75 77 84 89 93 99 107 118 127 136 144 154 166 174 183 190 195 196 200 205 208 210 210 215 220 227 235 241 244 245 252 263 280 308 337 354 365 371 373 380 403 426 436 426 390 371 363 364 369 369 357 351 348 346 346 352 360 370 379 383 376 362 348 337 333 333 328 326 331 347 372 379 376 363 344 323 301 277 265 266 273 278 283 286 286 282 280 272 265 241 203 172 155 170 183 192 206 221 227 222 207 189 179 183 188 190 185 174 159 140 123 115 123 153 188 216 231 229 208 178 149 124 104 83 63 44 28 17 16 44 86 130 165 182 218 252 259 234 181 133 99 72 49 33 24 21 20 18 16 14 12 10 8 5 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 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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68 75 80 82 79 74 69 65 61 56 47 38 31 27 25 23 18 15 14 16 16 14 10 8 7 7 8 8 8 7 5 4 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 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 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 1 1 2 2 2 2 2 2 2 1 2 3 3 5 6 8 10 11 14 14 14 17 16 16 19 20 19 20 23 24 24 24 25 25 24 26 28 29 28 26 22 21 20 19 19 18 16 13 11 11 12 14 16 19 21 22 24 27 31 36 39 40 37 35 34 32 32 32 34 36 37 39 38 38 38 39 36 31 26 24 23 24 25 25 24 23 23 22 21 23 25 26 28 29 28 28 28 28 29 29 29 30 30 31 33 34 36 38 39 41 42 44 44 45 47 50 54 57 60 62 61 59 59 60 62 66 71 75 76 74 74 74 74 73 73 74 74 73 73 75 83 92 101 108 112 111 110 106 102 98 94 90 86 84 88 92 96 100 103 104 104 102 97 94 100 114 129 139 140 134 124 116 110 105 102 98 94 90 85 79 77 80 84 90 96 98 100 104 111 122 132 142 152 164 174 186 194 200 205 207 210 211 210 211 218 232 240 245 249 252 257 262 265 269 278 298 323 339 350 358 370 375 379 371 354 355 355 353 351 353 363 371 368 356 345 348 354 361 372 383 385 375 358 338 319 307 308 321 330 340 353 361 367 368 360 344 324 298 269 247 238 248 263 278 288 294 297 295 288 274 249 213 169 139 137 159 188 201 208 212 204 186 171 163 155 154 158 160 160 161 157 148 136 125 127 142 163 188 205 206 195 173 146 121 108 90 68 47 29 26 39 71 117 168 193 211 235 255 239 191 143 102 73 50 34 27 24 22 20 20 19 17 15 14 13 11 9 7 5 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 1 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0
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17 11 7 4 4 5 4 4 5 5 7 9 10 11 11 13 13 13 13 13 14 13 12 12 11 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 11 12 13 14 14 14 14 14 14 15 15 16 16 16 16 16 16 16 16 15 15 14 13 12 12 11 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 6 6 7 8 9 9 8 8 7 5 4 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 3 4 4 5 6 7 8 9 10 12 14 16 17 20 22 24 26 27 29 32 35 38 38 36 33 29 25 21 18 17 17 17 18 19 20 19 15 10 6 5 4 3 3 3 2 2 2 3 4 6 7 8 8 8 7 7 7 8 9 13 17 21 25 29 32 35 37 35 32 27 25 22 20 19 17 15 13 12 11 12 14 19 24 30 35 41 49 55 57 59 61 64 66 68 69 71 76 78 80 80 81 80 78 75 73 71 69 70 70 68 67 65 61 55 49 50 57 66 76 84 90 91 89 83 85 88 90 91 92 90 89 90 91 93 99 101 102 104 102 99 98 98 96 91 86 81 72 63 60 54 49 49 49 50 46 40 31 37 45 45 38 26 22 19 17 16 17 20 18 17 19 23 29 35 37 38 38 37 36 37 42 52 61 69 76 79 84 99 106 107 90 85 90 116 142 166 173 179 181 185 189 192 196 201 206 207 204 186 166 146 140 131 120 116 106 88 77 68 61 56 52 47 42 38 34 36 44 71 101 134 159 166 156 138 121 103 97 92 90 89 93 108 118 125 130 136 141 137 129 119 111 106 105 103 102 104 112 120 128 141 152 153 146 139 140 142 144 140 142 146 152 153 149 132 118 110 104 100 96 83 66 48 34 23 20 19 18 17 17 18 23 32 46 64 85 109 117 116 102 80 58 40 29 22 18 15 12 10 8 6 5 3 2 1 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 1 2 3 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0
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5 4 3 3 3 3 3 2 2 2 3 5 7 7 8 8 8 8 9 9 7 5 4 4 6 8 9 9 9 9 10 11 11 9 7 8 8 9 9 10 11 12 13 14 15 15 14 14 14 14 14 14 15 15 14 14 13 13 12 11 11 10 10 10 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 3 3 3 4 4 5 5 6 6 7 8 9 10 12 13 15 17 18 20 22 24 26 28 30 32 33 34 33 32 29 27 25 22 19 17 18 19 20 21 21 18 14 11 7 4 4 4 4 3 3 3 3 4 5 6 6 6 6 6 5 6 8 10 12 15 16 17 18 20 23 25 28 30 32 33 32 31 28 27 27 27 25 21 17 15 17 22 28 33 38 42 46 51 57 62 67 68 71 73 74 74 73 71 68 63 58 54 54 58 65 71 74 73 73 71 71 71 69 66 61 54 49 49 57 68 82 87 85 84 85 92 93 92 92 93 96 99 100 98 103 104 92 84 78 66 57 51 48 47 51 47 41 33 27 20 17 15 11 11 11 11 11 12 14 19 25 29 35 41 48 53 57 59 60 64 66 67 67 64 60 58 57 57 57 57 55 52 50 47 44 44 48 54 61 73 83 86 85 84 98 117 140 165 183 194 203 211 216 215 212 210 209 208 200 191 181 175 159 132 112 95 83 76 71 66 61 54 49 43 37 33 30 29 34 44 66 94 123 143 143 133 116 102 89 84 80 80 85 91 98 104 110 115 125 134 128 120 111 106 104 103 105 109 115 119 125 134 143 150 153 150 143 144 145 146 148 149 150 151 150 149 142 135 130 123 115 99 77 47 30 19 14 14 14 13 12 12 16 27 42 59 73 83 75 62 41 27 18 15 15 15 15 15 14 13 12 10 8 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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