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 8 7 7 8 8 7 7 8 8 7 6 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 9 10 11 11 11 10 10 10 10 10 11 11 12 12 11 10 10 10 10 10 11 10 10 9 9 8 6 5 6 7 9 8 7 7 8 9 9 9 9 9 9 7 5 3 4 7 11 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 11 12 13 14 15 15 16 17 18 18 18 19 19 19 19 19 20 19 19 19 18 17 16 15 14 12 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 6 6 6 6 7 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 nan
nan 8 8 7 7 7 7 7 7 8 7 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 9 11 11 11 11 10 10 10 11 11 12 12 12 11 10 9 9 10 9 9 10 10 9 8 7 6 6 6 7 8 8 6 5 5 7 8 9 9 10 10 10 8 5 2 2 5 9 11 11 11 10 10 9 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 10 11 12 13 14 15 16 17 18 19 20 21 21 22 22 23 23 24 24 24 24 24 23 23 22 21 19 18 17 16 14 13 12 12 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 10 9 7 6 5 6 6 7 7 7 8 8 7 7 7 7 7 6 6 7 7 7 7 7 nan
nan 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 10 10 10 9 9 9 10 11 12 12 13 11 10 9 8 9 8 8 8 9 9 8 7 7 7 7 8 7 7 5 4 5 6 7 9 10 11 11 11 11 10 7 5 3 4 7 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 11 12 13 14 15 16 18 19 20 21 22 22 22 23 24 25 26 26 27 28 28 28 28 29 28 28 28 26 25 24 23 21 20 19 17 15 14 14 12 12 12 11 11 10 9 8 7 7 8 9 10 11 11 10 9 7 6 6 6 6 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 nan
nan 8 7 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 8 8 9 9 8 9 9 10 10 9 8 8 9 10 11 11 13 13 11 8 7 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 5 5 6 8 10 11 12 12 11 11 10 10 9 7 4 2 3 5 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 10 11 12 13 14 16 17 18 19 20 20 21 21 22 22 23 24 24 25 26 27 27 28 29 30 31 31 32 32 31 31 31 30 29 28 26 23 22 21 19 18 18 17 16 14 12 11 9 9 9 9 10 11 10 9 8 7 6 6 7 8 10 11 11 10 10 9 8 8 7 7 6 6 6 6 7 7 7 7 nan
nan 8 7 7 7 6 6 6 6 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 13 13 11 8 6 5 4 4 5 7 8 8 7 7 7 6 6 7 8 8 8 8 9 11 12 13 12 12 11 10 9 8 8 7 4 -0 -2 -1 2 5 7 7 7 7 7 7 6 6 6 6 5 5 6 6 6 7 7 8 9 9 10 11 12 14 15 16 16 17 18 18 18 18 19 19 19 19 20 20 21 22 23 24 25 26 28 29 30 32 33 34 35 35 35 35 34 33 31 29 29 28 28 27 24 21 19 17 15 13 12 11 11 11 11 10 9 8 8 8 8 10 12 12 12 12 11 9 8 7 7 6 6 6 7 7 7 7 7 7 nan
nan 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 11 11 10 10 10 10 10 9 8 8 8 9 11 13 13 11 8 6 5 4 5 6 7 8 7 7 6 6 5 6 7 8 9 9 10 10 11 12 11 11 11 11 10 8 7 6 6 3 -1 -4 -5 -4 -0 3 6 7 7 7 6 6 6 5 5 5 5 6 6 6 7 7 7 8 9 9 10 11 12 13 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 16 17 18 20 21 23 24 26 28 29 31 33 34 35 36 36 35 35 35 36 36 36 34 31 27 25 24 22 19 18 16 15 15 14 12 11 10 9 10 11 12 12 12 12 11 10 9 7 6 6 6 7 7 8 8 8 8 7 nan
nan 9 8 7 6 6 6 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 9 8 8 9 10 10 9 8 8 8 9 11 12 12 10 8 6 5 6 7 8 8 8 7 7 6 6 5 6 8 9 10 10 10 10 10 10 9 9 10 10 8 6 6 6 5 4 2 -1 -4 -6 -6 -3 0 3 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 8 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 12 12 13 15 16 17 18 20 22 23 25 27 28 29 31 32 32 33 35 37 37 37 36 34 33 32 31 29 27 25 23 21 19 17 15 14 12 12 12 12 12 13 12 12 11 10 7 6 6 7 8 8 9 9 9 8 8 nan
nan 10 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 10 9 8 8 9 9 9 9 9 8 7 6 6 7 9 9 9 9 8 7 8 9 11 11 9 7 6 6 7 8 8 8 7 7 7 7 7 7 8 9 10 11 11 10 9 9 8 8 8 8 7 7 6 6 6 6 5 4 3 1 -3 -6 -8 -8 -6 -3 0 3 5 6 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 9 9 11 12 13 14 15 16 17 18 20 21 22 23 25 26 28 30 31 32 33 34 34 34 35 35 35 33 32 30 28 27 23 21 19 18 17 16 15 14 13 13 13 10 8 8 8 8 9 9 10 9 9 9 8 nan
nan 11 9 8 8 8 7 8 8 9 9 10 10 9 9 9 10 11 11 11 11 11 11 11 12 12 12 10 9 8 8 7 7 7 6 6 5 5 6 6 7 9 9 9 7 6 6 8 9 9 7 6 5 6 7 8 7 7 7 8 8 8 8 9 10 11 12 13 13 11 10 9 9 8 7 7 6 7 7 7 7 7 6 6 5 4 2 -1 -6 -10 -12 -10 -7 -1 3 5 5 5 5 5 6 6 5 6 6 7 7 8 8 8 8 8 7 6 6 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 9 10 11 11 12 13 14 15 15 17 18 19 20 22 24 25 27 29 31 32 35 36 36 37 37 38 37 35 31 29 28 26 25 24 22 20 20 18 15 13 11 11 11 11 11 11 10 10 9 9 nan
nan 11 10 10 9 8 8 9 9 10 11 11 11 11 11 10 11 11 12 13 12 12 12 12 13 12 12 11 10 9 8 8 7 6 6 5 5 6 6 7 7 8 9 8 7 6 6 7 8 7 6 5 5 6 8 8 7 7 7 8 9 10 10 11 12 13 13 14 14 12 11 10 10 9 7 6 6 6 7 8 8 8 7 7 6 6 5 3 0 -3 -6 -8 -8 -6 -2 2 5 6 6 6 6 6 5 6 6 7 7 8 9 9 8 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 10 10 11 12 13 13 15 17 18 20 22 24 26 29 31 34 36 39 41 42 42 40 38 37 36 36 36 36 34 33 31 28 24 21 19 18 17 15 14 12 10 10 10 nan
nan 10 11 11 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 12 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 8 8 7 6 5 6 8 10 10 8 8 8 10 11 12 12 12 12 12 12 12 12 12 12 11 10 9 7 6 6 6 6 7 7 7 7 7 7 7 6 5 4 4 2 0 -4 -8 -8 -4 0 4 6 6 5 5 5 6 6 7 7 8 9 9 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 13 14 15 17 18 21 24 26 29 32 35 37 39 40 39 39 39 40 42 45 46 45 44 43 41 37 33 31 28 24 21 18 15 13 12 nan
nan 10 10 11 11 10 10 10 9 9 9 9 10 9 9 9 9 9 9 11 11 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 6 7 7 7 7 8 8 8 7 7 8 8 8 8 8 7 8 11 12 11 10 10 10 12 13 12 12 11 11 10 9 8 9 10 11 11 11 9 8 7 7 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 0 -6 -9 -9 -6 -1 3 5 5 5 5 6 6 6 7 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 12 13 15 18 20 22 25 27 29 30 31 31 32 33 36 40 43 45 47 48 50 50 46 44 41 37 33 29 24 21 19 nan
nan 10 10 10 11 10 10 9 9 8 8 8 8 9 9 9 9 9 10 12 12 12 11 11 11 12 12 12 11 11 10 10 8 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 11 12 12 12 11 12 12 12 11 10 10 9 9 8 7 6 7 8 10 11 10 9 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 6 5 3 -0 -4 -7 -10 -8 -4 1 4 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 10 12 13 15 16 17 18 19 19 19 20 22 26 29 32 36 39 42 46 48 47 45 44 42 40 36 32 29 nan
nan 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 10 11 12 12 11 11 11 11 12 12 12 11 10 10 10 9 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 11 12 12 11 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 6 5 4 2 -1 -6 -9 -8 -4 0 3 5 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 5 5 5 5 4 4 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 9 9 10 10 10 10 10 9 10 12 14 16 20 23 25 29 35 37 37 39 41 42 42 41 39 nan
nan 12 11 11 10 10 10 10 9 9 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 11 12 11 10 10 10 10 9 9 8 7 7 7 7 7 7 7 6 7 7 8 8 8 9 9 10 10 9 9 9 10 11 11 10 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 10 10 11 11 11 11 11 10 9 8 7 6 6 6 6 4 1 -3 -6 -7 -4 1 3 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 5 5 5 6 6 6 7 7 6 6 6 5 4 4 5 6 8 10 11 13 17 21 23 25 29 33 36 39 41 nan
nan 11 12 11 11 10 10 10 10 9 8 7 6 6 6 7 8 9 9 8 8 8 9 9 9 10 11 11 10 10 11 10 10 8 7 6 7 8 8 8 8 7 7 7 7 7 8 9 10 10 10 9 8 8 8 9 9 9 8 7 7 7 7 8 7 7 8 8 8 7 7 6 7 8 9 10 11 11 10 10 10 11 12 12 12 12 11 10 9 9 8 7 7 7 7 6 4 2 -2 -6 -6 -3 1 2 3 5 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 5 5 4 3 3 3 4 4 4 5 6 8 10 12 15 19 23 27 31 nan
nan 11 12 12 11 10 10 10 9 9 8 7 7 6 6 7 9 10 9 8 7 7 8 8 8 9 10 10 10 10 11 11 10 9 7 6 7 8 9 9 9 8 8 7 7 8 9 9 10 10 9 8 8 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 7 8 9 11 11 10 10 11 11 12 11 11 10 9 9 9 9 8 8 8 8 7 6 4 1 -3 -6 -5 -2 1 3 4 5 6 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 6 6 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 3 4 4 5 5 7 10 13 17 nan
nan 11 13 13 12 11 10 10 10 9 8 8 8 7 7 8 10 10 9 8 7 7 8 8 8 8 8 9 9 9 10 10 11 10 8 7 7 8 9 9 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 6 6 5 5 5 5 5 5 7 8 9 9 9 10 10 9 9 9 9 9 10 10 9 9 9 9 9 8 7 5 3 -1 -5 -7 -5 -2 0 1 3 4 6 7 8 8 9 9 9 9 10 10 10 10 10 10 9 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 5 7 nan
nan 12 13 14 13 11 10 10 10 9 9 9 9 9 9 9 10 9 9 8 7 7 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 7 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 5 5 5 6 7 7 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 7 5 2 -2 -6 -7 -6 -4 -2 -1 0 2 5 7 8 9 9 9 9 10 11 11 12 12 13 13 12 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 5 5 6 6 6 5 5 5 5 4 4 4 nan
nan 11 13 13 13 11 10 9 9 9 9 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 10 10 11 11 11 11 9 7 5 5 7 9 9 9 10 11 10 9 8 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 7 7 6 5 5 5 5 6 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 7 6 5 3 -1 -4 -5 -5 -5 -5 -5 -3 -0 3 6 7 7 7 8 9 10 11 12 14 15 15 15 13 12 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 nan
nan 11 12 12 11 10 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 9 11 11 11 11 10 9 7 6 6 7 6 6 8 11 12 11 10 8 7 7 7 7 6 6 7 7 7 7 7 7 8 8 9 8 8 8 9 9 8 8 8 7 7 7 6 5 4 4 4 6 7 8 8 9 8 8 7 7 7 7 7 8 8 8 7 7 6 6 7 6 5 3 0 -2 -3 -4 -6 -7 -6 -3 2 5 6 6 7 8 10 11 12 14 16 16 15 14 13 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 6 6 5 5 5 5 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 nan
nan 10 11 11 10 9 8 7 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 8 8 8 9 10 11 12 13 12 11 10 9 8 7 4 3 6 10 12 12 11 10 9 8 7 5 4 4 5 5 6 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 6 6 5 4 4 5 5 7 8 8 8 8 8 7 8 8 7 8 8 8 7 7 6 6 6 7 7 7 6 4 3 2 -0 -4 -7 -7 -3 1 4 5 6 7 8 10 11 13 14 14 14 13 11 10 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 nan
nan 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 10 10 10 9 8 8 8 8 8 9 10 11 12 12 11 12 11 10 7 5 5 7 10 12 13 12 10 9 8 6 5 4 4 4 4 5 6 7 8 7 7 7 8 9 9 8 8 8 8 8 7 7 6 6 7 7 6 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 8 9 8 8 7 6 2 -4 -7 -7 -3 0 3 4 6 7 8 10 11 12 13 12 11 10 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 nan
nan 9 9 9 9 8 8 8 7 7 6 7 7 7 7 8 8 7 7 8 9 10 12 13 12 11 10 9 8 8 8 8 8 8 7 7 7 8 8 8 6 5 8 10 10 13 13 11 9 8 7 6 5 5 4 4 4 5 5 6 7 7 7 8 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 7 7 7 7 7 7 8 8 8 9 8 8 7 8 9 9 9 9 8 6 2 -4 -8 -8 -5 -1 2 4 5 7 8 10 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 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 7 7 7 7 6 6 6 5 6 nan
nan 8 9 9 9 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 10 11 11 12 12 12 11 10 9 8 7 7 6 5 4 3 3 5 5 4 3 3 5 6 9 13 13 11 9 8 7 6 5 5 5 5 5 5 5 5 6 6 6 7 8 9 9 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 7 7 7 7 7 8 9 10 10 9 7 7 8 9 9 9 9 8 6 1 -4 -8 -9 -7 -3 0 3 5 6 7 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 9 9 8 8 8 8 7 7 6 5 5 5 6 7 8 9 10 10 9 9 9 10 11 11 12 12 10 9 7 6 5 4 3 2 4 6 6 4 3 2 0 0 6 10 11 11 10 8 6 5 4 4 4 5 5 5 5 6 6 5 5 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 5 5 5 5 6 6 7 8 8 9 9 9 8 7 7 8 8 9 9 9 8 8 7 3 -3 -7 -10 -9 -6 -2 1 3 4 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 nan
nan 8 8 8 8 8 9 8 8 7 6 6 5 5 6 7 9 9 9 8 8 7 7 8 9 10 11 12 12 10 8 7 6 5 4 4 6 8 9 8 7 3 -1 -1 5 9 10 10 9 7 5 4 3 3 4 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 6 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 4 -1 -6 -9 -10 -8 -5 -3 -1 -0 2 4 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 9 9 9 8 8 7 7 7 6 7 8 9 9 8 7 6 6 6 6 7 8 10 12 12 12 11 10 9 9 8 8 9 9 10 11 10 5 -1 0 5 8 9 9 8 5 4 3 3 3 4 5 5 4 5 6 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 6 3 -2 -6 -8 -8 -7 -6 -6 -6 -2 2 5 6 6 6 7 7 7 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 9 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 nan
nan 9 9 9 9 10 10 10 9 8 8 7 7 7 8 9 9 8 7 7 6 6 5 5 6 7 8 10 12 13 14 14 15 15 14 12 11 10 11 13 12 8 3 2 5 7 8 9 7 5 3 2 3 4 5 5 4 4 4 4 5 6 6 7 8 8 7 7 6 6 7 8 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 8 9 9 9 10 10 9 8 6 2 -2 -5 -5 -5 -6 -8 -7 -3 3 5 6 6 7 7 8 8 7 7 6 7 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 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 9 9 10 11 10 9 8 8 8 7 7 8 8 9 8 8 7 6 6 5 5 6 6 7 8 10 12 14 16 17 18 18 16 14 15 17 19 17 13 8 5 6 7 9 8 6 4 3 3 4 5 6 5 4 4 3 3 3 3 4 5 6 7 7 7 6 6 6 7 8 9 9 8 7 7 7 7 7 8 8 8 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 7 8 8 9 9 10 10 10 10 9 8 6 3 2 1 0 -1 -2 -1 2 5 6 6 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 4 4 5 4 nan
nan 9 9 9 9 9 10 10 9 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 8 10 11 13 15 16 17 17 18 20 24 25 23 19 14 10 8 8 8 7 6 4 3 3 5 6 6 5 4 4 4 4 4 3 3 3 4 5 6 7 7 7 6 6 7 8 9 9 8 7 7 7 7 7 8 8 7 6 5 6 6 7 7 7 7 7 6 6 6 5 6 6 6 7 7 6 6 6 6 7 7 7 8 9 10 10 10 9 9 9 8 6 5 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 9 8 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 9 10 12 13 14 17 20 23 25 24 20 15 12 9 7 5 5 5 4 4 5 6 6 6 5 4 4 5 5 5 4 4 3 3 4 5 6 7 7 6 6 6 6 7 8 9 9 9 9 8 7 7 8 8 7 6 6 7 8 8 8 8 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 9 10 10 9 9 9 9 9 8 6 4 2 3 4 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 4 4 4 4 4 3 3 3 2 2 2 2 3 4 5 5 5 4 4 4 3 3 3 3 2 2 3 3 3 3 4 4 4 3 3 4 4 4 4 4 4 4 nan
nan 9 9 8 8 7 7 7 8 9 10 9 8 7 7 8 9 8 7 6 6 7 7 7 7 7 8 8 7 7 6 6 7 7 8 9 12 14 16 17 17 15 11 8 7 5 5 5 6 7 8 8 8 6 5 4 4 4 5 5 5 5 5 4 4 4 5 5 6 6 6 6 5 5 5 6 8 9 10 10 9 8 7 7 7 8 7 7 8 9 9 8 8 8 7 7 7 6 6 6 5 5 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 4 1 0 1 1 2 3 5 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 4 4 4 4 4 3 3 3 3 3 3 3 4 5 5 5 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 nan
nan 9 9 9 8 7 7 7 8 9 10 10 8 7 8 9 9 8 6 6 6 7 7 8 8 8 8 7 6 6 6 6 6 5 5 5 6 9 10 10 10 9 6 4 4 4 5 6 9 11 12 11 9 6 3 2 3 4 4 5 6 6 6 6 5 5 5 6 6 6 6 6 6 5 5 6 7 8 9 10 11 9 8 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 8 6 2 -1 -3 -3 -4 -4 -3 1 4 6 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 6 7 7 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 3 3 4 4 4 5 5 6 6 7 7 nan
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nan 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 10 9 8 7 7 8 8 10 10 10 9 8 8 7 6 6 6 7 8 8 8 8 8 8 7 6 7 8 8 7 7 6 7 8 10 11 10 8 8 8 10 10 9 9 9 10 12 14 14 13 11 8 5 4 4 5 6 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 8 6 4 3 4 4 4 4 5 6 7 8 8 9 9 9 9 9 8 7 7 8 11 14 17 19 18 13 7 4 3 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 11 12 12 13 13 13 13 12 12 13 13 13 13 13 12 11 10 10 9 9 9 9 8 8 nan
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nan 16 16 16 16 17 17 17 17 16 15 15 14 13 12 12 11 11 11 12 12 12 12 12 13 13 13 14 14 14 14 15 14 14 14 13 13 13 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 9 10 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 8 9 10 10 10 10 11 12 11 10 10 9 9 8 8 8 8 9 10 10 10 9 10 12 13 13 14 14 14 13 14 15 15 15 14 14 13 13 13 12 12 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 7 6 6 6 6 7 nan
nan 16 17 17 17 17 17 16 15 14 13 12 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 14 14 14 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 10 9 9 10 10 10 10 10 10 10 9 9 8 9 9 9 9 10 11 12 11 10 8 8 8 8 8 8 8 9 10 10 10 11 12 12 12 12 12 12 12 11 10 11 11 11 12 12 13 13 13 13 13 13 12 11 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 16 16 16 15 15 14 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 9 9 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 8 8 7 7 8 10 11 12 11 9 9 9 9 10 10 9 9 9 9 9 10 11 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 14 14 12 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 14 13 13 12 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 11 10 10 10 10 10 11 12 13 12 11 10 10 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 10 12 12 11 9 9 9 10 11 11 11 11 10 9 8 9 9 10 9 9 9 9 8 9 10 11 11 11 10 10 10 10 11 11 12 12 13 15 15 14 12 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 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 10 10 9 9 9 8 7 7 6 6 7 7 8 8 9 9 8 8 9 9 9 10 10 10 11 11 12 12 11 11 10 9 8 8 9 10 11 12 12 10 10 9 9 9 8 8 9 9 9 9 9 8 8 7 6 6 8 10 11 12 10 9 9 9 10 10 11 11 11 11 10 10 9 9 8 8 9 9 8 7 7 8 9 10 10 10 10 10 11 12 13 12 12 12 12 14 14 12 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 7 7 6 6 5 4 5 5 6 7 7 nan
nan 7 7 8 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 10 9 8 8 8 9 9 10 11 11 10 9 8 8 8 8 9 9 9 8 9 8 8 8 7 7 7 8 9 10 10 9 8 8 8 9 9 10 11 11 11 11 11 10 9 9 8 8 9 9 8 7 7 8 8 9 9 9 10 11 13 14 14 13 12 12 14 13 12 10 11 12 13 13 11 10 8 8 7 7 7 8 8 8 8 7 6 5 5 4 4 5 6 7 7 nan
nan 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 10 10 11 10 9 9 9 9 10 11 11 12 11 10 9 9 8 8 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 7 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 9 9 8 9 9 9 10 10 10 9 8 8 8 8 8 9 8 8 7 8 8 8 9 9 9 9 10 9 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 8 9 9 9 9 10 10 11 12 13 13 13 14 15 14 13 12 12 13 14 14 13 11 9 8 7 7 7 8 8 9 10 9 8 7 6 5 4 5 6 7 7 nan
nan 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 11 11 10 9 9 9 10 10 11 12 12 12 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 12 13 14 15 15 13 11 9 9 9 9 9 8 8 9 9 9 10 11 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 9 8 8 8 9 9 8 8 7 7 7 8 8 9 9 10 10 10 11 11 11 10 10 9 8 8 8 8 8 9 8 8 9 9 9 10 10 9 8 8 9 10 10 10 10 9 10 10 10 10 9 9 10 11 12 12 12 13 14 14 14 14 15 15 15 15 14 12 10 9 8 8 8 9 10 12 12 11 10 8 7 6 6 6 7 8 nan
nan 9 8 7 7 7 7 8 7 7 6 6 6 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 9 9 10 11 13 15 16 18 19 19 19 19 18 17 16 15 14 13 11 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 10 9 9 8 8 9 9 9 8 7 7 7 8 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 9 8 8 9 9 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 10 12 13 13 14 15 15 15 16 15 14 13 12 11 10 9 9 10 12 13 13 12 10 9 8 8 8 8 nan
nan 8 7 7 8 8 8 8 7 6 6 6 7 7 8 8 8 9 8 8 8 9 9 10 10 10 10 11 11 12 13 13 12 12 11 10 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 12 15 16 17 16 16 15 16 17 18 20 21 21 20 19 18 16 13 11 9 8 8 8 9 10 11 11 10 10 10 10 10 10 11 11 11 10 9 8 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 9 7 7 7 7 8 9 10 10 9 9 9 10 10 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 11 9 8 8 9 10 11 12 12 12 13 14 15 15 15 15 15 14 10 8 9 12 15 16 16 16 14 13 11 10 9 nan
nan 8 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 9 12 14 14 14 13 12 11 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 13 12 10 9 8 9 10 12 15 17 18 19 20 20 20 19 17 14 12 10 9 8 9 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 9 9 9 10 9 9 9 9 8 9 9 10 10 9 8 8 7 6 6 7 8 9 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 12 11 11 12 12 12 11 10 9 8 8 10 11 11 11 10 10 11 13 13 14 14 15 16 14 12 12 13 16 18 19 19 18 16 14 12 10 nan
nan 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 8 11 14 15 15 15 13 12 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 5 4 4 4 5 6 8 9 11 12 14 16 18 20 21 21 21 19 17 14 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 8 8 8 8 9 9 8 8 7 7 7 7 8 9 10 12 12 12 11 10 10 10 11 11 12 12 12 11 11 11 10 9 9 9 10 10 10 11 12 11 11 12 12 12 11 10 9 9 9 11 11 11 10 10 10 10 11 11 11 11 12 13 14 14 13 13 13 14 15 16 16 16 14 12 11 nan
nan 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 8 8 7 6 5 4 6 8 11 13 15 16 16 16 14 12 10 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 6 4 2 1 0 1 1 1 1 3 5 7 8 9 10 11 13 15 16 17 19 19 19 19 17 16 14 13 11 9 10 11 11 11 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 9 8 8 8 9 10 9 8 7 6 7 8 9 9 10 11 12 12 11 11 10 9 10 11 11 12 12 12 12 11 11 10 9 8 8 8 8 9 10 11 11 11 12 12 11 10 9 9 9 10 11 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 8 9 10 11 12 11 11 nan
nan 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 5 4 4 7 9 11 12 13 15 17 17 16 14 11 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 6 4 2 1 1 1 1 1 0 1 3 4 6 7 8 9 9 10 10 11 11 12 15 17 18 18 18 16 13 10 9 9 10 10 11 10 10 10 10 10 9 9 8 8 9 9 10 10 10 9 8 8 9 10 11 10 9 7 7 8 9 9 10 10 11 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 10 9 8 8 7 7 8 9 10 10 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 11 9 7 6 6 7 9 10 10 nan
nan 8 8 8 8 7 8 8 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 4 4 5 7 9 10 11 12 13 15 17 17 15 13 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 10 11 11 10 8 7 6 6 5 5 5 4 2 2 2 3 4 6 7 7 7 7 7 7 7 8 10 13 15 17 18 16 14 13 11 9 8 10 10 10 9 10 10 9 8 8 8 8 9 10 11 11 9 8 8 9 10 11 11 10 9 8 9 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 10 10 10 9 9 8 7 7 8 9 10 11 11 12 12 11 10 10 9 9 9 10 11 12 12 11 10 10 10 10 10 10 10 10 11 12 13 12 11 9 7 6 6 7 9 10 nan
nan 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 7 7 6 5 4 4 6 8 10 10 10 11 12 14 15 17 16 14 12 10 9 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 12 12 12 11 10 10 10 10 11 11 10 7 4 2 1 2 4 5 5 6 6 6 6 6 6 7 8 10 13 15 17 18 17 15 12 10 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 8 8 8 8 9 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 10 10 9 8 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 10 11 12 11 11 10 10 11 11 10 10 9 9 10 11 12 12 12 10 9 8 8 8 9 10 nan
nan 7 7 7 7 6 7 7 8 8 9 9 8 8 8 7 7 8 7 7 7 6 5 4 4 6 8 10 10 10 11 11 12 14 16 17 16 14 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 11 10 9 9 10 13 14 13 11 9 6 3 3 3 3 3 4 5 5 5 5 5 5 6 7 8 10 12 14 16 16 15 14 13 12 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 11 12 11 11 10 10 10 10 10 11 12 11 11 10 10 10 11 12 12 11 11 10 10 11 11 12 12 11 10 9 9 9 9 10 nan
nan 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 7 5 5 6 7 9 10 10 10 10 11 11 13 15 16 16 15 13 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 8 7 7 7 9 11 12 12 11 10 8 6 4 3 3 3 4 4 4 5 4 4 4 5 5 5 7 8 10 12 13 14 15 14 13 12 11 10 9 10 10 10 10 10 10 9 8 8 7 8 8 9 9 8 8 9 9 10 10 10 10 10 10 9 10 10 10 9 9 9 10 10 10 10 11 11 11 10 10 9 9 8 9 10 10 9 8 7 8 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 12 13 13 13 13 13 13 12 12 12 11 10 10 10 10 10 nan
nan 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 9 9 9 10 10 10 10 11 12 14 16 17 16 14 11 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 6 5 4 5 7 9 10 10 11 10 10 8 7 5 3 3 3 3 3 3 3 3 3 3 4 4 4 5 7 8 10 12 13 13 13 13 11 10 10 10 10 10 10 11 10 9 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 10 9 8 7 8 9 10 10 8 7 6 7 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 13 14 16 17 16 15 14 13 12 12 11 11 10 10 9 nan
nan 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 8 9 9 9 10 10 10 11 12 13 15 17 17 15 12 10 11 11 11 10 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 8 7 5 5 5 6 7 8 9 10 11 11 11 11 10 8 6 5 3 3 3 3 3 3 4 4 5 5 5 4 4 5 6 8 9 10 11 11 10 10 9 10 10 9 10 10 9 9 9 9 8 8 9 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 10 10 10 10 9 9 10 10 10 8 6 5 6 7 9 10 9 8 6 6 7 8 10 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 11 13 15 17 17 16 15 13 12 12 11 11 10 10 9 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 9 8 7 7 8 9 9 9 9 10 10 11 11 12 14 16 16 15 13 13 13 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 8 7 6 5 6 7 8 9 9 10 10 11 11 11 11 11 11 10 9 7 6 5 6 6 6 7 7 7 7 6 5 5 5 6 6 7 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 11 12 11 11 11 10 10 9 9 9 9 9 10 10 11 10 10 10 10 9 8 7 7 7 7 6 5 5 6 8 9 10 11 11 9 8 8 9 9 11 11 10 10 10 9 10 11 11 11 11 11 10 10 9 9 9 10 11 13 15 16 15 14 13 12 11 11 10 10 9 9 nan
nan 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 7 7 7 8 9 9 9 10 10 11 11 12 14 15 15 15 14 14 13 12 12 11 11 11 10 10 11 11 11 10 10 9 10 10 9 9 9 9 8 7 7 7 8 9 9 9 9 10 12 13 13 12 11 11 12 13 13 12 10 9 9 9 10 11 11 10 9 8 8 7 7 7 7 8 8 8 7 6 6 7 7 8 7 7 8 9 9 10 10 9 9 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 6 5 5 5 7 7 7 8 9 10 13 15 14 12 11 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 11 13 15 15 15 13 12 11 11 10 10 9 9 9 nan
nan 7 7 7 8 8 9 9 9 8 8 9 9 10 10 10 9 9 9 10 10 10 8 6 6 6 8 9 9 9 10 10 11 12 13 14 15 14 14 14 14 13 11 11 11 11 11 11 11 11 12 11 11 10 9 9 9 9 9 10 9 8 8 8 9 9 10 9 8 8 9 12 15 15 14 12 11 12 13 14 13 12 11 11 11 13 13 13 13 12 11 10 9 9 9 9 9 10 9 9 8 7 7 8 7 7 6 7 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 11 11 10 10 10 10 9 8 7 7 7 7 9 11 12 11 11 11 12 14 16 15 13 11 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 12 14 17 17 15 13 12 11 10 10 9 9 9 8 nan
nan 7 7 7 8 8 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 8 6 4 4 6 8 9 9 10 10 10 11 12 14 15 15 14 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 9 8 8 8 9 10 9 8 7 6 7 11 14 16 15 14 12 12 12 12 12 12 11 11 11 12 13 13 14 14 13 12 11 11 11 11 11 10 10 9 8 8 8 9 8 7 6 6 7 8 9 9 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 10 10 10 10 9 8 8 9 10 13 14 15 14 13 12 13 13 14 14 13 11 10 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 12 14 17 19 17 15 13 11 10 9 9 9 8 8 nan
nan 8 8 8 8 9 10 9 8 8 8 9 9 10 10 10 9 9 8 8 9 7 6 5 5 7 8 9 9 10 10 11 12 14 15 16 15 14 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 6 4 5 8 11 15 17 16 13 11 10 10 11 11 11 11 10 10 10 11 12 13 13 13 12 13 13 13 12 11 9 7 7 7 8 8 8 7 6 5 5 6 7 8 9 10 12 12 12 11 11 10 10 10 10 9 9 8 9 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 11 11 12 12 12 12 11 9 9 9 9 8 9 9 9 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 14 17 18 19 17 15 12 11 10 9 9 8 8 nan
nan 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 13 15 17 18 17 14 11 10 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 7 5 3 4 6 9 14 17 18 15 12 10 10 11 11 11 10 9 9 8 8 8 9 10 11 12 13 14 15 15 12 8 7 6 5 6 6 6 5 5 4 5 5 6 6 7 8 10 12 12 12 11 10 9 9 10 10 9 9 9 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 11 12 12 11 10 10 9 9 9 9 9 9 11 11 11 10 10 9 9 9 10 10 10 11 10 10 11 12 15 17 19 19 17 15 13 11 10 9 9 8 nan
nan 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 10 11 10 10 9 10 10 10 11 13 16 19 20 18 14 10 9 8 8 8 8 9 10 10 9 8 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 10 10 9 8 5 4 5 6 9 14 17 18 17 16 13 11 11 11 10 9 9 8 7 6 6 7 8 9 11 13 16 17 17 14 11 8 6 5 5 5 4 4 3 4 5 6 7 7 7 8 8 9 10 10 10 9 8 9 9 10 11 10 10 10 10 10 11 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 12 11 10 9 9 10 9 9 9 9 11 11 11 10 9 9 9 9 10 10 11 11 11 10 10 11 13 15 18 20 19 18 16 13 11 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 10 10 10 9 10 10 11 14 17 20 21 17 13 10 9 9 8 7 7 8 9 9 9 8 8 9 9 9 7 7 6 6 6 8 11 11 11 10 9 9 9 9 7 5 5 5 7 11 14 17 18 18 17 13 12 11 11 10 9 8 8 7 6 6 7 8 9 11 13 16 18 18 16 14 12 9 7 6 6 6 5 4 5 7 9 10 10 10 9 9 8 8 8 8 7 7 7 8 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 10 10 10 10 11 12 12 11 10 10 10 10 9 8 9 10 11 10 9 9 9 9 10 10 11 11 11 11 11 10 11 11 13 16 19 20 20 18 16 14 13 11 10 nan
nan 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 11 13 17 19 19 15 12 10 9 9 8 8 7 8 9 9 9 9 10 11 11 10 9 8 8 8 7 9 12 13 13 11 10 9 9 8 7 6 5 6 8 11 14 16 17 17 15 12 11 11 10 10 9 8 8 7 7 7 8 9 10 10 12 13 15 15 15 15 15 13 12 11 10 10 10 10 10 11 12 14 14 14 13 11 10 9 8 8 7 7 6 6 6 5 6 8 10 11 10 9 8 7 8 8 9 9 8 8 8 9 10 10 10 10 10 10 11 12 12 12 12 12 11 10 9 8 9 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 14 16 19 20 20 19 18 17 15 13 nan
nan 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 11 11 10 10 10 11 12 13 16 17 16 14 12 10 10 9 9 8 8 8 9 9 8 8 9 10 11 11 10 10 10 9 8 9 12 14 15 14 12 10 10 9 8 7 6 6 8 10 13 15 16 16 13 11 10 10 10 9 9 8 8 7 7 7 8 9 9 10 10 11 11 11 12 13 14 15 15 15 15 16 16 16 15 15 15 16 17 17 15 13 11 11 10 9 9 8 7 5 4 3 4 6 9 10 10 9 8 7 8 9 9 9 8 8 8 9 9 9 10 10 10 11 12 13 13 14 13 11 10 9 8 8 8 9 10 10 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 12 14 17 20 21 21 21 21 20 19 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 8 7 7 7 8 9 10 11 11 11 11 11 11 12 13 15 16 15 15 13 11 9 9 9 8 8 8 9 9 8 7 8 8 10 10 10 10 9 8 7 8 10 13 17 18 16 14 13 12 10 7 6 6 7 9 11 14 16 15 13 11 9 9 9 9 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 10 12 13 14 15 16 17 17 16 15 14 14 16 17 18 16 13 11 11 11 12 12 10 9 7 5 3 3 5 7 9 11 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 13 10 9 8 8 8 8 9 9 10 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 12 14 16 18 20 21 22 23 23 nan
nan 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 9 9 10 11 12 12 12 12 12 13 13 14 15 16 15 13 10 9 8 8 7 7 8 9 9 8 7 6 7 8 9 9 9 8 8 7 7 8 11 16 20 20 19 17 15 12 9 7 7 8 9 11 13 15 15 13 11 9 8 8 8 8 7 6 5 5 6 7 8 9 10 9 9 8 8 8 9 9 10 11 12 14 15 13 12 10 10 11 12 14 15 13 11 11 11 12 14 15 13 11 8 6 4 3 4 5 7 8 8 8 8 9 11 11 10 10 10 10 10 9 8 8 8 10 12 13 13 15 14 11 9 8 7 8 8 8 9 10 10 10 9 9 9 9 11 12 12 12 12 12 11 10 10 10 10 11 12 13 14 15 17 19 21 22 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
2380 2378 2405 2448 2491 2518 2512 2465 2376 2245 2112 1981 1863 1769 1692 1632 1615 1633 1602 1548 1494 1487 1542 1591 1567 1474 1371 1298 1311 1331 1379 1512 1603 1668 1687 1673 1660 1629 1574 1570 1694 1853 1952 1986 1986 1967 1938 1874 1786 1718 1632 1582 1541 1487 1446 1476 1571 1783 2155 2391 2447 2380 2336 2313 2257 2165 2062 1929 1823 1729 1652 1629 1623 1594 1600 1727 1877 2036 2217 2383 2444 2437 2491 2577 2460 2353 2224 2006 1790 1522 1254 1170 1183 1181 1151 1237 1340 1351 1364 1388 1343 1229 1119 1005 971 1015 1041 1012 970 970 963 979 993 1018 980 918 862 792 728 687 686 660 668 708 760 787 773 715 734 764 815 891 945 919 800 659 609 600 641 632 582 562 583 595 555 532 580 626 653 651 618 611 549 515 572 644 698 783 907 957 976 1004 1090 1233 1339 1360 1352 1340 1274 1192 1151 1111 1048 967 930 1038 991 922 870 886 910 875 805 774 824 830 788
2431 2402 2398 2417 2456 2523 2550 2522 2436 2307 2162 2013 1863 1718 1595 1504 1461 1457 1414 1378 1365 1387 1447 1497 1471 1379 1284 1207 1187 1196 1242 1379 1525 1647 1733 1762 1757 1721 1667 1664 1774 1916 2005 2046 2047 1981 1893 1807 1705 1637 1587 1545 1514 1548 1743 2037 2269 2432 2590 2662 2595 2450 2336 2241 2135 2015 1873 1749 1716 1678 1644 1622 1603 1596 1630 1751 1871 1982 2111 2216 2212 2143 2139 2266 2331 2199 2075 1884 1585 1295 1174 1204 1271 1259 1153 1206 1290 1364 1461 1527 1457 1290 1217 1074 1018 1015 1029 1031 1006 984 978 1065 1159 1192 1138 1057 1020 988 950 892 846 814 797 804 824 846 885 869 834 801 791 807 813 788 724 650 626 645 671 666 637 633 672 647 617 607 617 639 660 649 605 628 567 501 490 519 534 524 589 639 769 908 1025 1108 1169 1208 1246 1270 1237 1197 1164 1130 1094 1037 959 961 930 925 896 885 899 852 785 764 807 809 749
2505 2437 2391 2379 2401 2479 2530 2521 2443 2323 2197 2067 1917 1749 1587 1460 1372 1320 1279 1248 1241 1277 1361 1444 1421 1339 1236 1131 1056 1026 1061 1195 1402 1585 1738 1800 1819 1815 1793 1776 1794 1860 1945 1997 1967 1852 1751 1715 1682 1666 1717 1838 2063 2311 2530 2658 2687 2700 2725 2634 2458 2266 2122 2017 1918 1835 1767 1727 1699 1669 1604 1564 1580 1615 1658 1738 1814 1883 1965 1987 1907 1791 1756 1903 2065 2009 1847 1654 1475 1352 1295 1207 1157 1105 1090 1128 1176 1253 1354 1371 1351 1294 1203 1109 1045 1017 1004 994 1038 990 990 1056 1131 1166 1141 1078 1040 1011 992 935 861 802 781 786 792 803 834 858 830 781 753 744 718 679 662 620 614 630 648 659 667 674 693 661 643 648 662 676 690 656 624 619 594 558 545 559 567 516 429 432 556 738 925 1067 1156 1131 1133 1134 1132 1136 1138 1128 1126 1099 1029 934 871 888 912 886 850 815 783 759 778 782 741
2588 2486 2399 2361 2362 2402 2430 2405 2331 2238 2155 2073 1954 1781 1614 1471 1355 1269 1201 1151 1135 1177 1289 1408 1407 1331 1209 1066 940 875 906 1051 1306 1524 1712 1813 1863 1870 1816 1743 1739 1758 1831 1860 1788 1728 1791 1934 2033 2035 2147 2346 2584 2769 2800 2703 2610 2568 2558 2434 2224 2017 1888 1829 1769 1695 1653 1638 1684 1674 1635 1615 1605 1583 1603 1668 1721 1759 1773 1720 1605 1515 1544 1637 1727 1755 1619 1413 1258 1192 1143 1034 1006 1009 999 990 985 980 963 949 979 954 943 965 996 1004 989 1039 1008 977 983 983 1018 1076 1098 1055 953 864 871 871 807 735 720 723 713 729 768 765 715 665 643 642 606 568 568 570 570 579 596 609 630 653 675 657 639 642 658 659 660 614 580 613 640 640 627 574 474 361 354 385 497 714 953 1116 1261 1141 1011 889 846 938 1055 1110 1136 1133 1082 1000 943 934 922 882 810 800 806 806 795 772 712
2664 2546 2425 2355 2327 2321 2299 2247 2185 2124 2080 2041 1972 1831 1672 1513 1380 1272 1179 1103 1069 1109 1230 1350 1379 1321 1198 1039 889 805 842 1010 1276 1513 1707 1827 1869 1849 1788 1696 1678 1708 1748 1743 1764 1917 2182 2390 2440 2517 2607 2720 2817 2825 2687 2480 2352 2276 2296 2253 2122 1950 1793 1690 1639 1528 1484 1464 1495 1528 1549 1565 1568 1549 1581 1629 1665 1673 1629 1525 1417 1387 1454 1456 1431 1420 1324 1138 964 881 825 825 829 832 829 811 774 735 714 711 709 714 732 784 862 921 905 943 895 830 775 808 923 1003 1023 981 888 837 857 841 764 677 635 605 602 612 613 593 566 540 521 530 491 461 442 445 470 503 530 541 547 557 568 580 587 586 569 550 554 574 617 645 670 682 665 531 438 383 354 368 466 690 999 988 903 806 682 538 476 701 979 1143 1186 1173 1130 1074 1029 994 951 888 822 806 820 822 778 762 723
2723 2616 2470 2359 2297 2252 2191 2090 1997 1972 1992 1998 1974 1881 1726 1559 1413 1295 1194 1109 1068 1113 1225 1342 1377 1330 1228 1085 933 849 909 1109 1356 1576 1747 1843 1848 1784 1718 1667 1680 1724 1768 1862 2080 2396 2673 2823 2854 2965 2942 2881 2810 2675 2458 2223 2129 2062 2133 2174 2111 1950 1743 1561 1397 1273 1227 1202 1241 1345 1486 1610 1676 1644 1663 1682 1683 1629 1503 1355 1271 1298 1279 1220 1155 1099 1029 917 771 677 707 732 723 701 670 633 606 585 560 536 535 543 554 579 630 707 711 725 723 737 745 766 842 856 838 805 775 747 692 640 617 585 530 503 514 507 479 461 462 456 439 418 401 402 407 413 420 456 478 482 479 478 475 483 500 498 479 475 499 527 531 542 605 630 608 499 415 359 316 294 317 438 592 595 537 445 364 308 283 556 932 1177 1245 1214 1162 1108 1075 1026 967 900 845 815 809 812 718 750 779
2731 2657 2494 2335 2261 2181 2108 2009 1928 1896 1903 1925 1927 1866 1735 1589 1449 1332 1236 1163 1132 1171 1277 1380 1419 1389 1318 1216 1100 1042 1108 1296 1501 1674 1811 1868 1824 1741 1677 1670 1771 1910 2075 2299 2569 2807 2946 3036 3072 3086 3011 2901 2793 2637 2352 1999 1867 1807 1884 1964 1975 1882 1679 1507 1371 1250 1185 1153 1176 1314 1566 1762 1842 1819 1800 1771 1698 1548 1337 1155 1089 1090 1049 960 868 804 778 817 737 667 659 662 641 596 543 500 474 451 420 399 403 415 414 401 408 460 518 560 608 640 627 616 629 632 644 654 665 661 639 606 559 523 478 452 432 399 366 346 356 354 355 348 344 351 401 482 466 451 453 449 439 433 439 446 441 435 452 479 517 542 533 528 536 533 499 441 385 324 261 228 235 296 364 382 368 329 280 237 229 388 775 1101 1238 1233 1171 1107 1094 1053 999 938 882 844 812 808 769 779 801
2690 2679 2540 2354 2223 2119 2040 1963 1905 1871 1856 1852 1842 1795 1699 1584 1478 1388 1309 1248 1228 1275 1373 1468 1515 1511 1474 1417 1350 1317 1380 1524 1675 1789 1868 1860 1790 1936 1990 2052 2203 2323 2461 2647 2835 2941 2994 3054 3092 3082 2975 2804 2612 2394 2214 1890 1724 1669 1691 1765 1856 1918 1825 1682 1559 1480 1449 1423 1414 1518 1807 1987 2000 1923 1834 1760 1681 1549 1337 1168 1115 1081 961 791 666 632 646 733 719 687 639 597 556 507 462 419 378 346 334 310 293 301 299 294 293 308 354 426 491 503 476 459 481 486 515 544 562 557 519 471 437 437 406 347 278 234 218 187 213 218 225 223 210 209 253 419 417 372 362 370 368 346 341 351 376 382 395 418 446 468 473 472 445 415 382 358 343 319 259 247 255 284 354 403 393 392 309 236 190 198 452 861 1128 1244 1196 1142 1129 1110 1069 1020 962 917 881 857 832 811 792
2627 2688 2627 2455 2263 2129 2027 1948 1891 1849 1815 1781 1752 1709 1610 1521 1450 1390 1343 1323 1343 1411 1512 1607 1663 1685 1684 1664 1633 1618 1654 1734 1803 1821 1782 1726 1796 2261 2426 2316 2377 2487 2595 2718 2831 2861 2865 2898 3019 2992 2809 2589 2395 2252 2198 2018 1858 1783 1787 1796 1781 1854 1792 1779 1805 1767 1793 1855 1861 1866 2034 2103 2013 1815 1653 1573 1519 1457 1402 1274 1131 995 832 667 565 556 566 583 587 583 536 489 461 430 391 344 315 269 238 226 225 221 220 211 191 192 210 238 272 309 333 361 399 401 406 410 396 363 335 339 333 325 299 243 174 141 126 126 110 108 110 105 94 86 96 163 187 180 183 194 188 185 186 211 259 265 251 246 253 269 283 275 273 274 284 305 325 341 317 312 319 317 325 398 524 510 391 275 195 171 276 563 924 1172 1213 1195 1166 1138 1118 1116 1073 1024 973 918 863 818 781
2480 2569 2576 2475 2312 2158 2035 1948 1887 1837 1789 1739 1688 1645 1546 1452 1382 1334 1312 1324 1389 1506 1630 1727 1799 1858 1903 1915 1892 1863 1872 1879 1865 1812 1753 1796 2048 2356 2417 2371 2437 2531 2602 2680 2733 2708 2679 2742 2952 3033 2881 2618 2441 2444 2385 2216 2072 1967 1907 1848 1744 1684 1570 1606 1777 1878 1953 2066 2142 2082 2025 1971 1855 1673 1515 1420 1362 1345 1334 1224 1045 877 730 604 523 491 466 434 408 379 374 381 368 350 325 264 235 206 186 178 160 143 131 110 93 98 112 125 142 185 231 266 286 295 292 281 271 242 245 278 257 218 188 161 123 104 89 82 75 71 67 61 51 45 47 58 60 61 69 79 75 73 70 75 97 110 105 97 89 90 106 115 127 145 170 207 266 310 329 363 410 433 476 599 636 611 486 343 247 199 187 278 615 942 1138 1222 1225 1190 1162 1189 1166 1119 1054 977 900 840 786
2258 2358 2402 2355 2245 2109 1993 1920 1879 1853 1824 1761 1686 1603 1503 1413 1341 1296 1286 1304 1401 1562 1715 1832 1931 2028 2106 2115 2073 2032 2025 2001 1941 1870 1855 1968 2163 2308 2349 2396 2484 2558 2592 2633 2661 2642 2673 2814 2955 2954 2811 2662 2661 2676 2561 2409 2231 2092 2019 1960 1882 1729 1582 1611 1718 1727 1652 1647 1673 1671 1588 1527 1476 1420 1365 1306 1251 1223 1185 1068 898 753 648 554 473 404 343 289 252 226 209 199 206 222 261 215 172 150 136 119 88 79 71 63 55 54 61 71 94 147 183 200 205 200 189 173 168 153 181 198 175 132 108 99 87 77 69 64 59 56 54 48 44 43 42 43 46 48 48 50 49 49 47 46 46 45 46 43 37 32 35 39 45 52 63 78 109 154 186 238 304 363 426 520 554 549 471 377 327 284 246 238 445 733 1005 1190 1262 1247 1250 1256 1242 1200 1135 1053 954 872 806
2072 2185 2292 2308 2169 2017 1922 1881 1876 1890 1896 1855 1767 1657 1546 1459 1387 1337 1331 1368 1512 1699 1863 1987 2087 2178 2244 2233 2185 2145 2125 2084 2011 1946 1964 2110 2173 2259 2325 2382 2429 2454 2475 2523 2552 2624 2703 2863 3028 3102 3051 2927 2847 2655 2597 2441 2206 2022 1938 1862 1750 1554 1438 1347 1244 1133 1039 962 899 871 882 921 958 999 1057 1092 1087 1094 1040 908 769 661 565 461 381 304 234 181 146 125 109 93 90 104 166 166 133 103 84 76 57 54 49 44 39 35 37 43 66 93 124 140 138 125 115 103 102 105 118 130 120 89 80 79 78 78 73 64 56 51 47 43 43 45 46 45 44 44 45 48 48 49 49 48 48 48 44 37 32 28 25 22 20 18 22 27 28 32 44 64 93 142 173 194 245 278 277 255 253 280 283 334 412 548 754 993 1094 1143 1204 1261 1276 1241 1186 1098 1002 912 843
1989 2032 2152 2182 2060 1919 1849 1834 1858 1913 1957 1932 1831 1712 1609 1546 1520 1528 1584 1674 1817 1960 2088 2189 2258 2300 2324 2304 2261 2219 2180 2130 2076 2053 2084 2117 2123 2120 2159 2212 2241 2251 2290 2349 2351 2416 2469 2604 2828 3010 2962 2674 2597 2433 2339 2162 1923 1734 1619 1516 1447 1214 1059 926 776 635 560 494 431 405 415 462 513 552 604 692 737 787 799 754 688 623 537 394 320 244 170 110 75 62 51 38 36 41 67 80 76 74 57 48 44 42 41 37 33 32 38 42 50 63 83 96 96 89 77 72 72 70 74 87 94 85 84 82 78 70 64 62 55 49 43 40 39 39 40 41 42 43 45 47 48 48 49 50 53 53 48 42 37 32 27 23 20 17 16 17 16 15 16 20 25 33 39 37 52 69 84 84 67 80 100 130 173 233 318 433 575 716 846 961 1038 1053 1078 1049 980 912 869
2006 1911 1930 1959 1905 1815 1771 1779 1826 1893 1939 1905 1815 1729 1671 1641 1645 1698 1791 1889 2002 2100 2211 2315 2382 2404 2398 2366 2323 2274 2222 2165 2121 2107 2092 2022 1941 1911 1959 2036 2078 2082 2120 2152 2104 2018 1937 1993 2211 2383 2158 1913 1971 1965 1831 1622 1440 1341 1242 1134 1031 870 739 623 510 411 337 273 238 219 220 234 247 250 254 286 333 378 431 481 512 512 488 386 309 226 142 78 48 33 22 13 11 11 15 20 28 51 47 41 37 35 35 34 33 38 43 45 49 55 63 68 68 70 66 64 67 69 74 82 87 88 89 86 81 74 67 62 58 48 39 35 34 33 34 36 38 40 41 43 44 46 47 49 53 53 50 46 43 39 32 29 25 21 19 17 16 16 15 15 16 18 20 20 21 20 22 22 16 16 15 19 22 29 64 91 98 168 274 384 447 508 580 685 721 728 760
2048 1925 1870 1870 1820 1745 1706 1731 1797 1861 1884 1839 1761 1689 1632 1584 1570 1642 1779 1854 1923 1979 2090 2235 2362 2457 2486 2434 2393 2341 2263 2185 2131 2086 2009 1875 1750 1713 1772 1855 1881 1869 1912 1921 1859 1745 1653 1705 1921 2090 1982 1896 1759 1575 1373 1199 1096 1067 990 891 775 658 544 439 350 280 234 196 176 161 148 138 130 119 107 108 119 128 149 179 219 257 271 253 220 172 112 57 24 11 7 5 4 2 2 3 6 13 26 35 36 34 34 36 36 42 46 47 49 52 54 54 55 57 59 61 65 69 74 79 84 87 89 88 82 74 68 66 64 53 41 34 32 31 32 33 35 36 38 39 41 46 50 49 51 52 50 49 50 44 39 38 34 31 28 25 24 23 22 21 21 21 21 21 22 22 21 19 18 15 11 9 8 8 10 13 10 14 28 61 77 94 112 178 263 349 424
2071 1972 1899 1845 1764 1682 1650 1692 1783 1845 1825 1750 1632 1515 1428 1368 1349 1425 1549 1566 1599 1655 1783 1967 2158 2350 2510 2428 2421 2402 2346 2273 2194 2087 1923 1722 1555 1479 1527 1618 1640 1628 1652 1671 1673 1688 1717 1805 1984 2044 1923 1747 1525 1280 1085 984 942 921 851 753 635 513 406 324 265 230 206 181 156 132 110 90 75 63 52 44 39 36 38 41 44 61 73 75 73 66 54 35 14 7 3 2 1 1 0 0 1 5 16 27 36 39 38 39 40 44 49 49 48 47 48 52 52 52 55 59 63 69 76 79 83 87 88 86 81 74 67 67 67 58 49 42 35 28 32 33 36 39 42 41 39 43 44 44 44 44 44 45 45 42 43 43 41 37 35 34 34 35 33 30 28 26 24 23 24 24 23 23 22 20 15 12 9 8 7 7 7 7 9 10 11 13 16 22 40 70 122
1996 1899 1812 1729 1651 1605 1599 1618 1630 1605 1568 1558 1501 1407 1291 1177 1116 1190 1236 1230 1260 1350 1491 1659 1825 1977 2135 2180 2267 2340 2378 2378 2315 2162 1893 1606 1351 1214 1228 1334 1420 1453 1479 1530 1651 1800 1938 2050 2070 1952 1747 1521 1296 1080 921 851 809 771 700 603 493 390 310 259 229 211 190 162 132 102 75 53 37 29 21 15 10 7 6 3 4 6 8 8 8 9 10 10 4 2 1 1 1 0 0 0 1 5 13 21 28 34 37 38 41 44 48 50 47 46 46 49 50 50 53 57 61 68 77 81 86 89 89 87 81 76 69 70 68 63 55 45 37 34 37 39 41 43 45 46 43 42 40 39 38 36 35 35 35 35 36 37 37 35 35 36 37 38 37 35 31 29 27 25 24 24 24 24 26 26 22 17 14 12 11 10 10 10 9 9 8 8 9 10 11 13 22
1738 1673 1618 1566 1533 1549 1575 1561 1522 1525 1511 1466 1390 1269 1113 956 862 922 958 978 1032 1114 1218 1333 1431 1514 1686 1823 1962 2098 2229 2356 2453 2389 1950 1566 1234 1000 926 1012 1159 1296 1398 1481 1678 1909 2063 2121 2002 1765 1519 1271 1058 892 770 679 620 575 508 427 348 281 235 210 197 183 162 133 101 72 46 26 15 10 6 2 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 3 7 12 17 24 31 31 35 39 43 46 47 46 44 45 47 50 55 61 64 70 79 85 90 93 96 95 88 88 84 78 73 67 58 49 45 43 42 43 43 44 45 46 47 45 43 40 38 35 35 33 31 29 29 29 29 29 29 29 31 32 33 33 32 30 29 27 25 25 24 24 26 27 25 23 21 18 16 15 13 13 12 12 11 10 10 11 10 11 12
1341 1317 1342 1365 1410 1478 1492 1420 1371 1367 1324 1265 1186 1062 891 743 723 740 769 785 810 860 933 1014 1070 1127 1282 1428 1559 1689 1868 2170 2605 2641 2031 1553 1156 821 638 642 757 932 1140 1343 1611 1891 2058 2044 1770 1510 1256 1044 869 715 583 473 399 362 315 262 217 184 164 151 139 127 114 93 67 46 26 10 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 1 3 4 6 11 17 19 22 26 33 40 44 46 44 43 45 48 55 64 67 74 85 93 99 105 111 108 104 98 91 86 83 77 69 64 60 57 54 51 48 50 48 49 58 60 55 49 44 40 38 33 30 28 27 26 25 25 26 27 27 27 29 30 30 29 28 27 25 24 24 23 25 26 28 28 27 26 25 22 19 17 17 17 17 16 15 15 15 14 14
934 914 984 1046 1087 1165 1217 1156 1114 1150 1129 1063 977 862 740 665 653 655 661 660 662 680 719 761 792 841 942 1062 1174 1276 1405 1625 1968 2194 1895 1447 1006 645 445 409 483 606 832 1135 1469 1752 1890 1817 1470 1223 997 801 645 519 415 315 238 204 176 148 124 107 95 85 75 68 60 48 36 23 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 8 11 15 22 34 42 44 44 44 44 47 61 67 75 87 99 113 135 157 152 132 115 104 98 94 89 82 78 74 72 71 68 69 70 68 71 79 80 70 59 51 45 42 38 35 32 30 28 25 25 24 23 23 25 25 26 25 25 26 26 25 24 23 23 23 24 25 25 28 28 28 26 23 21 21 21 22 21 21 21 21 21 20
700 648 667 724 750 794 857 866 844 828 809 780 743 688 625 589 571 562 574 573 556 543 545 559 587 641 731 847 976 1091 1175 1315 1488 1655 1607 1334 913 517 346 373 462 594 794 1054 1332 1562 1656 1496 1237 988 769 587 448 356 282 210 153 120 100 85 72 60 47 35 29 25 19 14 11 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 1 2 3 3 4 18 28 35 39 41 42 43 55 64 74 87 102 120 156 190 196 166 133 117 111 104 93 85 80 77 78 80 84 90 96 98 103 106 101 87 73 61 55 51 46 39 36 35 33 31 29 27 24 23 25 24 24 24 25 24 25 26 26 25 25 25 25 26 26 27 28 27 25 23 24 24 23 23 24 26 27 27 28 27
545 506 508 564 637 695 714 695 692 629 612 581 558 546 530 523 521 491 481 455 418 392 388 412 454 506 595 743 927 1089 1198 1332 1415 1478 1472 1294 951 596 401 425 532 686 869 1049 1209 1350 1395 1222 989 765 569 407 292 235 178 137 102 77 60 48 41 30 13 4 4 4 3 1 1 1 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 0 0 0 0 4 11 22 33 34 39 42 49 58 67 77 87 105 133 159 170 155 128 112 104 95 86 76 70 68 70 74 83 97 112 123 128 127 115 104 90 80 76 72 66 56 51 47 45 42 38 36 34 32 30 28 27 27 27 28 28 29 31 31 32 32 32 32 30 31 32 32 31 29 27 26 25 23 22 22 24 26 28 29
433 398 409 471 554 621 652 643 601 545 489 456 444 446 460 486 456 414 383 345 307 288 296 343 400 441 504 642 844 1046 1223 1373 1509 1571 1551 1403 1135 843 633 592 622 688 833 1018 1116 1130 1061 891 705 530 374 249 177 146 110 83 61 43 29 20 16 9 3 1 1 1 0 0 0 0 0 0 0 0 0 0 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 2 9 24 28 34 40 44 50 58 65 71 83 96 112 120 114 99 91 84 77 72 67 62 59 57 63 75 91 108 122 128 124 111 107 102 99 97 95 94 84 74 67 62 58 54 51 46 42 40 38 36 34 33 33 32 33 36 39 41 44 43 40 37 35 35 35 34 32 31 30 29 26 22 19 19 21 23 25
335 303 313 369 450 521 554 550 527 489 450 412 380 362 362 374 341 334 324 307 295 304 350 424 477 486 492 562 732 981 1231 1355 1440 1491 1481 1405 1278 1111 974 897 821 796 877 998 1005 909 742 553 416 312 208 128 92 62 43 33 23 13 7 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 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 1 11 17 27 34 39 45 52 56 61 66 74 85 92 89 80 79 77 73 70 67 62 57 54 59 71 84 94 102 99 93 93 96 99 102 104 101 104 101 94 86 79 75 70 65 60 56 52 50 48 46 44 45 44 43 44 46 47 48 48 44 40 37 36 36 35 36 36 35 33 30 26 24 24 24 24 25
259 245 251 293 366 439 474 479 471 443 400 353 314 284 264 294 299 314 344 379 416 478 572 619 637 616 577 572 663 889 1198 1323 1356 1328 1267 1195 1121 1045 994 1013 958 920 956 968 844 598 417 293 215 153 94 48 19 3 2 5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 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 3 6 14 23 32 39 44 48 52 56 60 66 75 77 76 78 79 78 77 74 71 66 61 66 75 83 87 85 75 73 75 80 87 93 96 95 93 91 89 85 81 78 73 73 68 63 61 59 58 56 57 59 57 55 53 51 48 47 46 45 42 39 41 39 38 37 38 37 35 35 33 32 32 32 31 31
201 197 207 243 304 370 417 441 432 393 337 277 226 192 188 287 340 379 445 513 551 604 673 708 734 737 710 668 660 758 1061 1195 1181 1082 964 867 776 665 622 697 719 726 790 841 693 277 127 91 73 49 30 12 3 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 21 30 36 40 43 45 48 52 59 60 59 66 73 79 83 84 83 81 80 82 85 87 86 80 71 68 70 75 79 84 85 83 81 81 82 80 79 77 77 79 74 65 61 60 59 58 57 57 57 56 55 53 49 46 45 44 42 39 40 40 38 37 34 35 33 32 32 34 37 39 37 36
170 169 181 211 259 318 376 407 388 341 284 223 166 136 189 305 414 486 556 612 600 603 620 643 686 728 747 745 754 765 906 967 918 796 659 551 465 366 328 341 361 398 501 676 660 223 37 15 20 17 8 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 2 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 18 25 30 34 37 39 41 44 51 54 57 64 73 83 90 93 94 94 94 92 87 83 77 71 69 70 73 75 81 83 80 78 79 80 80 81 80 82 84 84 75 69 64 62 59 57 56 55 55 54 51 48 45 42 39 38 38 38 38 39 40 36 36 34 32 30 32 37 40 39 40
159 162 176 208 251 288 301 336 338 312 262 209 173 164 215 278 425 537 600 620 569 512 470 472 528 611 686 741 799 847 886 863 771 617 437 319 249 192 164 164 177 209 298 560 564 277 72 5 6 5 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 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 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 12 19 24 30 32 35 37 41 47 53 61 68 80 92 100 104 103 97 91 83 79 76 74 73 72 73 74 79 80 79 78 79 76 76 80 81 82 84 85 83 79 75 69 63 59 56 57 56 53 49 46 43 41 38 37 36 36 36 39 42 43 44 43 40 39 40 44 44 44 45
113 138 165 205 264 315 262 298 327 325 295 255 221 211 296 294 394 518 586 577 492 381 311 317 391 478 542 623 721 829 898 896 817 650 408 267 176 123 97 94 109 143 217 447 452 278 96 5 4 3 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 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 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 14 21 24 28 32 36 40 46 59 66 78 91 103 110 108 100 90 83 79 77 75 74 72 71 70 73 74 74 75 76 75 75 76 78 79 80 79 82 83 82 77 70 62 63 61 57 52 48 46 42 41 40 38 37 38 41 44 46 48 50 50 48 49 54 53 52 52 53
74 112 143 175 218 271 319 341 359 361 339 293 232 196 345 338 387 479 532 499 387 256 189 205 291 378 405 431 515 603 694 763 784 728 587 410 238 132 75 58 77 119 202 347 361 240 88 5 3 2 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 2 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 11 12 14 20 29 36 40 52 62 72 84 97 108 108 99 92 87 82 77 73 69 69 70 68 67 69 69 69 70 69 68 69 72 73 73 71 77 83 85 83 76 66 66 63 58 52 48 46 45 44 41 41 42 43 44 45 45 46 47 48 49 51 51 55 56 56 57
38 91 141 175 212 275 371 406 415 405 378 325 217 189 318 353 374 408 421 371 261 153 109 130 205 279 275 237 235 281 369 477 572 637 677 549 380 253 164 108 100 132 208 289 292 195 72 15 8 4 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 3 2 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 5 6 8 14 31 38 45 53 61 69 78 90 90 89 93 94 87 82 74 68 67 68 66 64 65 67 67 67 65 63 64 65 67 69 71 77 83 86 90 89 82 77 71 64 61 57 56 55 52 50 50 50 50 50 50 48 46 46 47 50 51 52 53 55 55 55
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