Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 10 10 10 10 10 10 9 8 5 3 1 -1 -2 -2 -2 -1 0 1 2 2 3 2 3 3 4 4 4 4 3 1 -2 -4 -6 -4 1 11 23 36 47 54 56 54 49 43 36 30 24 20 16 14 13 12 11 10 10 10 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 6 5 4 2 -0 -2 -4 -5 -4 -2 3 7 16 24 33 42 48 53 54 55 54 51 49 44 41 36 31 26 22 19 16 14 14 13 14 14 14 14 14 13 13 11 10 10 9 9 9 9 8 8 8 8 9 10 11 11 10 9 9 8 8 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 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 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 11 12 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 14 14 15 15 16 16 16 16 16 17 17 17 17 16 16 15 14 13 12 12 11 12 12 13 14 14 14 13 13 12 12 11 11 11 10 10 9 9 8 8 9 10 11 13 14 14 14 13 11 10 7 5 3 2 1 1 1 2 4 6 7 7 6 5 5 7 10 13 13 10 4 -2 -5 1 14 28 43 54 56 49 41 31 23 16 13 11 10 10 9 9 10 10 11 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 14 14 15 14 14 13 13 10 5 -4 -13 -17 -14 -7 -0 6 9 11 12 12 12 11 10 9 8 8 7 6 5 4 4 4 6 7 9 10 10 9 8 7 7 8 8 10 12 14 15 nan
nan 10 10 10 10 11 11 11 11 9 8 6 4 2 1 -0 -0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 2 -1 -3 -4 -4 0 8 19 30 40 47 49 49 45 39 34 28 23 19 16 14 12 11 10 10 9 10 10 11 12 12 12 12 11 11 10 10 10 10 11 10 10 10 9 9 8 7 7 6 5 3 1 -1 -2 -4 -5 -5 -4 0 6 15 24 34 43 49 54 55 55 53 50 47 43 39 35 31 26 22 19 16 14 13 13 13 13 14 14 13 13 12 11 10 10 10 9 9 8 7 7 7 9 10 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 9 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 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 14 14 15 15 16 16 17 17 17 17 18 18 18 17 16 15 14 13 12 11 11 12 12 13 14 14 14 14 13 12 12 11 11 11 10 10 9 9 8 8 9 10 11 12 14 15 15 13 12 10 8 6 4 3 2 1 2 3 4 6 7 8 7 6 5 6 9 12 13 10 5 -1 -5 -0 11 27 42 54 56 50 41 33 23 16 13 11 10 10 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 13 14 14 15 14 14 13 12 10 5 -1 -10 -15 -12 -7 -1 6 10 11 12 13 12 12 10 8 7 7 6 6 5 5 5 6 7 9 10 11 10 9 8 7 7 7 7 9 11 13 14 nan
nan 10 10 11 11 11 12 12 12 12 11 10 9 7 4 2 2 2 3 3 4 4 4 3 4 4 4 4 4 4 4 3 2 -0 -2 -3 -3 1 7 15 23 32 37 40 40 38 34 30 25 21 18 15 13 11 10 9 9 9 10 11 12 13 13 13 12 12 11 11 12 12 12 12 12 12 10 10 9 8 8 7 7 6 4 3 1 -1 -3 -5 -6 -7 -5 -0 6 16 26 36 44 49 53 53 53 51 48 46 42 39 35 31 27 23 20 17 14 13 13 13 13 13 13 13 12 11 11 10 10 9 9 8 7 7 8 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 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 9 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 9 10 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 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 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 14 14 14 14 15 15 16 17 17 17 18 18 18 19 18 18 17 16 14 13 12 12 11 12 12 13 14 14 14 14 13 12 12 11 11 11 10 10 10 9 8 8 8 9 11 12 14 15 15 14 13 11 9 7 5 3 2 2 2 3 5 6 8 8 7 6 5 6 8 12 13 10 6 -1 -4 -0 9 23 40 53 55 51 43 33 23 17 14 11 10 9 9 9 10 10 11 11 11 10 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 13 14 14 14 14 14 13 12 10 5 -2 -8 -11 -11 -6 0 5 8 10 11 12 12 11 10 8 7 6 6 6 6 6 7 8 8 9 10 11 11 10 10 9 8 8 8 8 9 10 12 nan
nan 10 10 11 11 12 12 12 12 12 13 13 12 10 7 5 4 4 4 5 5 5 4 4 4 5 5 5 5 5 5 5 4 2 0 -2 -2 -1 1 6 12 19 25 30 33 34 34 31 28 24 20 17 14 11 9 9 8 9 10 11 12 13 13 13 12 12 12 12 13 14 14 13 13 12 11 10 9 8 8 8 8 7 6 5 4 2 0 -2 -4 -6 -7 -7 -4 1 9 19 28 38 44 49 52 51 51 49 47 44 41 38 35 31 28 24 20 18 15 14 14 14 14 14 14 13 12 12 11 11 10 9 8 7 7 8 10 11 12 12 12 11 11 11 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 12 12 11 10 9 9 8 8 8 8 9 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 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 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 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 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 11 11 12 12 13 14 14 15 15 15 15 15 15 15 15 15 16 17 18 18 18 19 19 19 19 19 18 16 14 13 12 12 12 12 12 13 13 14 14 14 13 12 12 11 11 11 10 10 10 9 8 8 8 9 11 12 13 15 15 14 13 12 9 7 5 4 3 2 2 3 4 6 7 8 8 6 5 6 8 11 12 11 6 -0 -4 -1 8 21 38 52 55 52 45 33 23 18 14 12 10 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 13 14 14 14 14 14 13 12 10 6 -1 -7 -10 -10 -6 -0 4 7 9 11 11 11 11 10 9 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 9 9 9 10 11 nan
nan 10 10 11 12 12 12 12 12 13 13 13 13 12 10 7 5 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 4 3 1 -1 -2 -1 1 4 8 14 19 24 28 31 31 30 27 24 20 16 13 11 9 9 9 9 11 12 12 12 12 11 11 12 12 13 14 14 14 14 12 12 11 9 9 8 8 8 8 8 7 5 4 2 1 -1 -3 -5 -7 -8 -7 -3 3 11 20 29 37 43 47 50 49 48 46 44 42 39 37 34 31 28 24 21 19 18 18 18 17 17 17 16 15 14 14 13 11 10 9 8 8 9 10 11 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 9 9 8 8 8 9 9 9 10 10 9 9 9 9 10 10 10 10 10 9 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 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 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 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 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 15 16 16 17 17 17 16 16 16 16 16 17 18 19 19 19 20 20 20 19 18 16 14 13 13 12 12 12 12 12 13 13 14 14 13 13 12 11 11 11 11 10 9 9 9 8 8 9 10 12 13 15 15 15 13 12 10 7 5 4 3 2 1 2 3 5 7 8 8 6 5 5 7 10 12 11 7 1 -3 -2 5 20 38 50 55 53 45 34 25 18 14 12 10 9 9 9 9 10 11 11 11 10 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 12 13 13 14 14 15 14 14 13 12 9 5 1 -3 -8 -8 -5 -1 4 8 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 11 11 12 11 10 9 9 9 11 12 nan
nan 9 10 11 11 12 12 12 13 13 13 13 13 12 11 9 7 5 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 4 2 0 -1 -1 0 2 6 10 16 21 25 28 30 29 27 24 20 17 14 11 10 9 9 10 11 11 11 11 10 10 11 12 13 14 14 14 13 13 12 11 10 9 9 9 8 9 8 8 7 6 5 3 2 0 -2 -3 -5 -6 -6 -5 -1 5 12 21 29 37 42 46 47 46 45 44 42 40 38 36 33 30 28 25 23 22 22 21 21 20 20 19 19 18 17 16 15 13 11 10 10 10 11 11 12 13 13 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 9 9 9 9 9 9 8 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 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 12 12 12 12 12 12 13 13 14 15 17 18 18 18 18 18 17 17 17 17 18 19 19 20 20 21 21 20 20 18 16 15 13 13 12 12 12 12 12 13 13 14 14 13 13 12 11 11 11 10 10 10 9 8 8 8 9 10 11 13 15 15 15 14 12 10 7 5 3 2 1 1 2 3 4 6 8 7 6 5 4 6 9 11 11 8 2 -2 -2 4 18 37 48 53 54 46 34 26 20 15 12 10 9 9 9 9 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 13 14 14 15 15 14 14 13 12 10 7 3 -2 -5 -6 -5 -1 5 8 11 12 12 12 11 10 9 9 8 8 8 8 9 9 10 10 10 10 9 10 10 11 11 10 9 8 8 10 12 14 nan
nan 9 9 10 10 11 11 12 13 13 14 14 13 12 11 10 8 6 5 4 4 5 5 6 6 7 7 8 8 8 8 8 8 8 7 6 4 2 0 -1 -1 -0 2 5 9 14 19 23 27 29 29 28 25 22 18 15 13 11 10 10 11 11 11 10 10 10 10 11 12 13 14 14 13 12 12 11 10 10 9 9 9 9 9 9 8 8 6 5 4 3 1 -0 -2 -3 -4 -5 -5 -3 1 7 14 22 29 36 41 44 45 44 44 42 40 39 36 34 32 30 27 26 25 24 24 23 23 23 23 22 22 21 19 18 16 14 13 12 12 12 12 12 13 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 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 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 12 13 13 14 15 16 17 19 20 20 20 20 19 18 18 18 19 20 20 21 21 22 22 21 20 18 16 14 14 13 13 12 12 12 12 13 13 14 14 14 13 12 12 11 11 10 10 10 9 9 8 8 9 10 11 13 14 15 15 14 13 10 7 5 3 2 1 0 1 2 4 6 7 7 6 5 4 5 8 11 12 8 3 -1 -2 4 18 34 46 53 53 46 36 27 20 15 12 10 9 9 9 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 12 12 13 14 15 15 15 15 14 14 12 10 7 4 -0 -4 -5 -4 -1 4 8 11 12 12 12 11 10 9 8 8 8 9 9 11 12 13 13 13 12 11 11 10 11 10 8 6 6 7 10 14 17 nan
nan 8 9 9 10 10 10 11 12 13 14 14 14 13 12 10 9 8 7 5 5 5 6 6 6 7 8 8 8 8 8 8 8 7 7 7 6 5 3 1 0 -0 0 2 4 8 11 16 21 25 27 29 28 26 24 20 17 14 13 11 11 11 11 10 10 9 10 11 12 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 8 7 6 5 4 3 2 0 -1 -2 -3 -4 -4 -2 2 7 14 22 28 35 39 42 43 42 42 40 38 36 34 32 30 28 27 26 25 24 24 24 24 24 24 23 22 21 20 19 17 16 15 14 13 13 13 13 13 14 14 14 14 14 14 13 13 13 12 12 12 11 11 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 9 9 9 9 9 9 10 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 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 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 7 8 7 7 8 8 8 8 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 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 10 10 11 11 12 12 12 13 13 14 15 16 17 18 20 21 22 22 22 21 20 19 19 20 21 22 22 23 23 22 21 20 18 16 15 14 13 13 12 12 12 12 12 13 14 14 14 14 13 12 11 11 11 10 10 9 9 8 8 8 9 11 13 14 15 16 15 13 10 7 5 3 1 0 0 0 1 4 6 7 7 6 5 4 5 8 10 12 9 4 -1 -2 2 16 32 44 53 53 45 36 29 21 15 12 11 10 9 9 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 13 14 14 15 15 15 15 15 14 12 11 8 4 1 -2 -4 -4 -2 2 6 10 12 12 12 11 10 8 8 8 9 10 11 13 14 15 15 14 12 11 11 11 11 10 8 6 6 8 12 18 20 nan
nan 7 8 8 9 9 9 9 10 11 13 14 15 15 14 13 12 11 10 9 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 5 4 4 3 3 3 4 5 8 12 17 21 25 27 28 27 25 22 19 16 14 12 11 11 10 10 10 10 11 12 13 13 13 13 12 12 11 11 10 11 11 11 11 11 10 10 10 10 9 8 8 7 6 4 4 3 1 0 -1 -3 -3 -3 -1 3 8 15 22 28 34 38 40 41 41 40 38 36 34 32 30 29 28 26 25 24 24 23 23 23 23 22 22 21 20 19 18 18 17 16 15 14 13 13 13 13 13 14 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 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 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 10 10 10 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 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 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 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 12 12 12 13 14 15 16 17 18 19 21 22 23 23 23 22 21 21 21 22 22 23 24 24 23 22 21 20 18 16 15 14 13 13 13 12 12 12 13 13 14 14 14 14 13 12 11 11 11 10 10 9 9 8 8 8 9 11 12 14 15 16 15 13 10 8 5 3 1 0 -0 0 1 3 5 7 8 7 5 3 4 7 10 12 10 5 0 -2 3 14 28 43 51 53 47 37 29 22 16 12 11 10 9 10 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 13 14 15 16 16 16 16 15 14 13 11 8 5 3 -0 -3 -5 -4 0 5 9 12 12 11 10 9 8 8 8 9 11 12 13 14 14 14 12 11 10 9 9 10 10 9 8 9 12 17 22 23 nan
nan 7 7 7 7 8 8 9 9 10 11 13 14 15 15 15 14 14 13 12 10 10 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 7 6 4 3 3 5 8 12 17 21 24 26 26 25 22 20 17 14 13 11 10 10 10 10 10 11 12 12 13 13 12 11 11 10 10 10 11 11 11 10 10 11 11 11 11 10 10 9 8 7 6 6 5 4 2 1 -1 -2 -2 -1 0 5 10 16 22 27 32 36 38 39 38 38 36 34 33 31 29 28 26 25 24 23 22 22 21 21 21 20 19 19 18 18 18 17 17 16 15 15 13 13 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 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 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 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 10 9 9 9 9 9 10 10 11 12 12 13 14 15 16 18 19 20 21 22 23 24 24 23 23 22 23 23 24 24 24 24 24 23 21 20 18 16 15 14 14 13 13 13 13 13 13 13 14 14 14 13 13 12 12 11 11 11 10 9 9 8 8 8 9 11 12 14 15 16 15 13 11 8 5 3 1 -0 -1 -0 1 3 5 7 7 6 5 3 4 7 10 12 10 5 1 -3 2 14 27 40 50 53 46 39 30 21 16 13 11 10 9 10 10 11 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 14 15 16 16 17 17 16 16 15 14 11 9 7 5 2 -2 -4 -3 -1 4 9 11 10 10 9 9 9 9 9 10 11 12 13 13 13 13 11 10 8 8 9 10 12 13 13 14 17 21 24 24 nan
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nan 11 11 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 13 13 13 13 13 14 14 14 13 13 14 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 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 12 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 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 15 16 15 15 16 16 16 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 19 19 18 18 18 18 18 18 17 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 16 16 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 13 13 13 13 13 13 14 13 14 14 14 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 11 12 12 13 13 13 13 14 15 16 16 17 17 17 17 17 17 17 16 16 15 15 15 14 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 14 15 16 15 15 16 17 17 17 17 16 16 16 15 15 14 13 12 12 12 12 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 nan
nan 12 12 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 12 12 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 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 14 14 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 18 19 19 19 19 19 18 19 19 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 16 16 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 13 14 14 13 13 13 14 14 13 13 14 14 13 13 14 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 14 14 16 16 16 16 16 16 16 16 16 15 15 14 14 14 14 13 13 13 13 13 12 11 11 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 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 15 15 15 15 16 17 16 16 16 16 16 16 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 10 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 nan
nan 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 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 16 17 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 14 14 14 14 14 14 15 15 15 15 15 14 14 14 14 13 13 12 12 12 12 12 12 12 12 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 11 11 12 12 12 12 12 12 12 14 14 14 15 15 16 16 16 16 16 16 16 16 16 15 15 14 15 15 14 14 13 13 14 13 13 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 15 16 16 17 17 16 16 16 16 16 15 12 11 11 11 11 9 7 7 7 7 7 7 7 7 7 nan
nan 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 13 13 13 13 14 14 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 13 12 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 13 13 12 12 13 13 12 12 13 13 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 18 17 17 17 17 17 17 17 17 17 17 17 17 17 16 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 15 14 14 14 15 15 15 15 15 15 15 14 14 15 15 14 14 15 14 14 15 15 16 15 15 15 15 15 15 15 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 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 14 14 15 15 14 15 16 16 16 16 16 16 16 17 17 17 16 15 16 16 16 14 13 13 13 13 13 13 13 13 13 14 15 15 15 15 15 16 15 16 16 15 15 15 15 15 14 14 14 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 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 15 15 15 15 15 16 17 17 17 17 17 18 18 18 18 17 15 14 14 14 14 11 9 9 9 9 8 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
76 72 74 75 73 69 64 61 63 72 82 92 104 119 109 110 112 113 115 122 124 127 121 120 117 107 98 83 69 53 40 31 31 36 49 64 77 85 97 106 108 108 101 91 78 62 55 57 63 73 86 93 96 93 88 80 72 66 60 57 53 47 40 34 31 31 34 37 40 41 39 35 31 27 24 20 17 14 10 7 5 3 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 6 7 8 8 11 13 15 18 19 17 14 11 10 9 9 11 11 12 11 11 10 10 10 12 13 16 18 19 19 19 18 18 18 17 17 19 21 22 24 26 27 28 26 24 22 19 16 13 11 12 14 16 18 19 21 22 23 23 22 21 20 20 20 20 21 22 22 20 18 17 18 19 21 23 22 21 20 19 20 21 22 24 25 28 30 32 35 38 40 41 42 42 41 40 38 36 34 32 29 26 24 21 19 17 14 12 10 9 9 9 9 9 9 9 10 10 9 8 6 5 4 4 4 4 5 5 4 4 4 4 5 6 6 4 4 4 4 4 5 6 6 7 7 6 6 6 6 7 9 11 13 16 16 17 19 19 19 20 19 19 20 20 19 19 19 20 19 19 17 16 15 15 15 14 13 13 12 11 11 11 11 10 9 9 10 11 12 14 15 17 20 22 24 26 28 30 32 35 37 39 41 45 49 53 58 65 73 79 85 89 92 95 97 99 99 100 101 104 106 108 110 112 113 114 115 117 121 123 126 126 127 128 130 131 131 131 130 130 132 140 154 171 195 226 260 292 314 336 363 395 422 442 454 459 457 455 448 426 401 386 379 368 362 365 376 384 385 381 372 359 344 326 329 337 338 323 294 266 250 239 229 217 202 189 176 166 158 156 151 144 133 117 100 82 68 60 55 50 40 37 42 55 74 88 97 98 97 97 96 115 123 120 106 86 71 63 59 61 70 76 70 50 28 13 7 9 10 10 8 6 5 6 6 7 8 8 7 7 6 6 6 7 7 7 7 6 5 5 5 5 5 4 4 4 3 3 3 2 2 2 2 3 3 4 4 4 5 4 4 5 7 9 9 8 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 0 0 0
86 80 78 78 77 74 70 67 68 69 70 69 75 81 92 100 106 111 118 119 118 118 119 112 106 100 96 95 86 74 59 44 36 30 39 49 66 77 75 77 77 74 72 64 53 44 43 53 62 68 80 94 101 102 98 91 83 73 64 56 51 48 42 37 35 36 41 46 50 52 49 42 36 31 28 24 20 16 12 8 4 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 5 6 7 9 11 13 15 14 12 10 8 7 7 8 10 10 10 9 9 8 7 8 10 12 14 16 16 16 16 17 17 17 17 18 19 21 23 25 26 26 25 23 20 17 14 11 10 10 12 15 17 18 20 20 21 20 19 19 20 20 19 19 20 20 21 20 18 17 17 19 21 23 23 21 19 18 18 19 21 23 24 26 28 29 31 34 36 39 41 41 41 40 39 37 35 32 30 27 24 21 19 17 14 12 9 8 7 7 8 7 8 9 9 10 10 8 6 5 5 4 4 5 5 5 4 4 4 4 4 5 5 4 3 3 3 4 4 5 7 7 7 6 6 7 7 7 9 11 12 15 16 17 19 20 21 21 20 19 19 19 19 19 19 19 17 17 16 15 15 15 14 13 12 11 11 11 10 10 9 9 9 8 9 10 11 12 14 16 19 21 23 25 27 30 32 35 37 39 42 45 48 51 58 64 70 76 84 88 91 93 95 96 96 98 101 105 111 112 113 114 115 117 117 119 120 121 122 123 124 125 128 131 132 132 131 129 130 133 143 159 180 206 237 268 294 318 342 370 397 422 441 452 457 456 444 412 382 364 356 347 345 349 359 370 381 381 371 354 331 310 312 320 324 315 289 265 249 237 227 214 199 186 176 167 160 158 154 145 132 116 100 83 68 56 47 40 31 28 35 50 70 88 95 97 99 103 103 112 120 119 106 88 72 62 58 60 68 74 68 51 31 14 9 10 11 11 8 6 5 6 6 8 9 8 7 6 6 6 7 7 7 7 6 6 5 5 5 5 5 4 4 4 3 2 2 2 2 2 2 2 3 3 4 5 4 4 4 5 7 9 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
96 90 86 84 82 81 80 81 83 78 70 64 63 67 72 81 91 100 107 113 114 115 116 112 106 99 98 96 93 88 78 69 56 47 41 45 55 70 81 75 66 57 44 36 29 29 34 46 57 69 81 93 102 105 103 99 92 85 75 62 55 49 46 43 42 46 50 54 57 59 54 48 40 34 30 26 22 17 12 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 10 11 11 11 9 8 7 7 8 8 8 7 7 6 6 6 6 7 8 10 12 14 15 15 15 16 16 17 17 18 20 24 26 25 24 22 20 18 16 14 11 9 9 10 12 15 17 18 19 19 19 19 19 19 18 18 18 19 18 19 18 17 18 18 20 22 23 22 21 19 18 17 18 20 22 23 24 26 27 28 30 33 36 38 39 39 39 38 37 35 32 30 28 25 22 20 17 15 12 9 7 6 6 7 7 7 8 9 9 10 8 7 6 5 5 5 5 5 5 4 4 4 3 3 3 4 4 3 2 2 2 3 4 6 7 7 7 7 7 7 7 9 11 12 14 16 18 19 20 20 21 21 20 20 19 19 19 18 17 16 15 15 15 15 15 15 14 12 11 11 10 9 9 9 8 8 7 9 10 11 12 14 16 18 20 22 24 26 28 30 33 36 38 41 44 47 51 57 62 68 75 84 87 90 91 93 95 97 100 104 107 112 114 115 117 118 119 119 119 119 120 119 117 118 120 124 127 131 132 130 128 128 128 135 148 166 188 215 245 275 303 328 352 377 403 425 442 453 458 431 397 370 354 342 332 327 329 337 352 375 377 367 347 322 305 300 307 310 301 281 258 243 232 222 210 197 187 178 170 164 162 159 148 132 114 97 81 67 55 44 35 27 25 34 52 74 95 100 100 101 103 103 110 118 118 106 89 74 63 57 59 66 76 70 55 35 16 12 11 12 10 7 6 6 6 7 8 9 8 7 6 7 7 7 7 7 7 7 6 5 5 4 5 5 4 4 3 3 3 2 2 2 2 2 2 3 4 4 5 4 4 3 5 6 7 7 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
103 100 95 90 88 88 88 91 92 87 77 69 67 62 63 71 81 89 103 112 114 114 114 111 107 104 101 97 93 89 87 83 78 67 57 51 48 59 72 80 82 72 60 45 36 35 39 47 60 73 86 99 107 108 106 103 98 94 85 74 63 54 50 49 51 56 59 60 61 59 55 49 42 37 32 28 23 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 6 7 9 9 8 7 7 7 7 7 7 5 5 4 4 4 5 6 7 8 10 12 13 13 14 15 16 16 17 18 21 25 25 24 21 18 17 17 17 15 13 12 10 9 10 12 15 16 17 18 18 18 17 17 17 16 17 18 18 19 18 19 19 20 22 23 23 22 21 19 18 17 19 19 20 21 22 24 25 26 28 31 33 35 36 37 37 36 35 34 32 30 28 26 23 20 17 15 12 10 7 6 5 7 7 7 7 8 8 8 8 8 7 7 7 6 5 5 5 5 4 4 3 3 3 3 3 2 1 1 2 3 4 5 7 7 7 7 7 7 8 9 10 11 14 17 18 19 20 20 20 21 21 20 19 19 19 18 16 15 15 15 15 16 15 15 15 14 12 10 10 10 10 9 9 8 8 9 10 11 12 14 16 18 20 22 23 25 27 29 32 35 37 41 44 47 52 56 59 66 74 82 86 87 90 92 94 99 105 109 111 113 115 118 118 118 116 116 116 116 116 116 115 114 117 120 123 126 127 127 127 126 126 129 139 155 175 198 223 255 285 312 335 357 382 409 431 443 445 412 384 361 343 331 321 312 309 313 328 353 367 362 343 317 296 290 292 292 283 267 249 235 225 215 205 195 187 180 172 165 164 161 152 137 117 97 78 66 56 45 33 27 29 39 59 85 102 108 106 102 104 105 109 114 114 106 91 76 64 58 57 66 72 71 60 41 24 15 13 12 11 8 7 6 7 8 9 9 8 7 6 7 7 7 7 8 7 7 6 5 5 5 5 4 4 4 3 3 2 2 2 2 2 2 2 3 4 4 4 4 3 3 4 5 6 6 3 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 1 1 2 2 2
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