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 -1 -1 -2 -3 -4 -6 -7 -9 -10 -11 -12 -14 -15 -15 -15 -13 -11 -7 -3 4 12 21 31 39 48 54 58 59 58 56 51 45 39 33 28 23 20 16 14 12 12 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 10 11 11 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 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 10 10 10 9 9 9 10 10 11 11 11 12 12 11 10 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 11 14 18 22 25 26 26 24 22 19 17 15 14 13 12 11 11 10 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 11 12 14 17 21 24 25 22 18 14 11 10 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 10 9 9 8 9 10 10 11 11 11 11 10 9 7 6 nan
nan 1 1 -0 -0 -2 -3 -4 -6 -7 -9 -10 -11 -13 -14 -15 -15 -15 -14 -11 -9 -2 3 12 20 30 38 47 53 57 59 59 56 52 46 41 35 30 25 21 18 16 14 13 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 10 10 11 12 12 12 12 12 11 11 11 10 10 9 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 12 12 12 11 10 8 8 7 7 8 8 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 10 10 9 9 10 12 15 19 23 25 26 25 23 21 18 16 14 13 12 11 11 11 10 10 10 10 10 10 10 11 12 12 13 14 14 14 14 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 10 9 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 11 12 14 16 19 22 23 21 18 14 11 10 9 9 9 9 11 12 13 13 12 11 10 10 10 10 10 11 11 9 8 8 9 9 10 11 11 12 11 9 8 7 nan
nan 3 3 3 3 2 0 -1 -2 -3 -5 -6 -8 -9 -11 -12 -13 -14 -15 -15 -13 -12 -8 -4 3 10 21 29 39 46 53 57 59 58 56 52 47 41 36 31 26 22 19 17 15 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 9 10 11 11 11 10 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 5 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 9 10 10 11 11 12 12 12 12 12 11 11 11 10 9 9 8 8 7 7 7 7 7 7 8 8 8 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 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 9 10 10 11 12 13 12 12 10 8 7 7 7 8 8 9 9 9 9 9 8 8 7 7 6 6 6 7 8 10 11 11 11 10 10 11 14 17 20 23 25 25 24 22 19 17 15 13 12 11 11 11 11 10 10 10 10 10 10 11 12 12 13 14 14 14 14 14 13 13 13 12 12 11 11 11 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 12 15 19 22 24 23 20 16 13 11 11 10 10 11 12 13 14 13 12 11 11 10 10 10 10 10 10 9 9 9 8 9 9 10 11 12 12 10 8 6 nan
nan 5 6 6 6 5 4 3 2 1 -0 -2 -3 -5 -6 -8 -9 -10 -12 -13 -13 -14 -13 -12 -8 -5 3 9 19 28 38 46 52 56 58 58 56 51 47 41 37 31 27 23 20 18 16 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 9 10 10 11 10 10 9 9 8 8 8 9 8 8 8 7 7 8 8 8 8 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 7 7 7 8 8 9 10 11 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 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 7 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 12 10 8 7 7 7 8 8 9 10 10 9 9 8 7 7 7 6 6 6 7 8 10 11 12 12 12 11 11 13 15 18 21 23 24 24 23 21 18 16 14 13 12 11 11 10 10 10 10 10 10 10 11 12 12 13 14 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 13 16 20 24 25 23 18 15 12 11 10 11 11 12 13 13 13 12 12 11 11 11 11 11 10 10 10 10 9 9 9 8 9 11 12 11 9 5 2 nan
nan 7 8 8 8 8 7 6 6 5 4 2 1 0 -1 -2 -4 -5 -6 -7 -9 -11 -12 -13 -13 -11 -10 -5 0 8 16 27 35 44 50 55 56 57 55 52 48 43 38 33 28 25 21 19 16 15 14 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 9 10 11 12 13 13 12 12 12 11 11 10 10 10 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 10 9 9 9 10 10 11 11 12 12 12 12 11 10 8 7 7 8 9 10 10 10 10 9 8 7 7 6 6 6 6 7 7 9 11 13 14 13 12 12 12 14 16 19 22 24 24 23 21 19 17 15 13 12 11 11 10 10 10 10 11 11 11 11 12 12 13 14 14 15 14 14 14 14 13 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 13 16 20 22 22 19 15 12 11 11 11 12 12 13 13 13 12 12 11 12 12 12 12 11 10 10 10 9 9 9 9 11 12 12 12 7 1 -1 nan
nan 8 9 9 9 9 9 9 8 7 7 6 5 4 3 2 0 -0 -2 -3 -4 -6 -8 -9 -11 -12 -12 -11 -10 -5 -1 7 15 25 33 41 47 52 54 55 53 51 47 43 38 34 29 26 22 20 17 16 14 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 10 10 10 11 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 9 9 9 8 8 8 7 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 10 12 12 13 13 12 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 13 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 10 9 9 9 9 10 10 11 12 12 12 12 11 10 9 8 8 9 9 10 11 11 10 10 9 8 7 6 6 6 6 6 7 9 11 13 14 14 14 13 12 13 15 18 21 22 23 23 22 20 18 16 14 13 11 11 10 10 10 10 11 11 11 12 12 13 13 14 14 15 15 14 14 14 13 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 14 16 19 19 18 15 12 11 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 10 9 9 9 9 11 12 14 14 12 7 3 -1 nan
nan 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 4 3 2 1 -0 -2 -3 -5 -7 -8 -9 -11 -11 -10 -8 -5 1 7 16 23 33 39 45 48 51 51 50 48 45 42 37 34 30 26 23 20 18 17 15 14 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 7 7 7 8 7 7 7 6 6 5 5 5 6 6 6 7 7 8 8 8 8 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 9 10 11 12 13 13 12 12 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 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 12 12 12 12 12 12 12 12 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 12 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 10 11 12 12 12 12 11 10 10 9 9 9 10 10 11 11 10 10 9 8 7 6 6 6 6 6 7 8 10 13 14 15 15 14 13 13 14 16 18 21 23 23 23 21 19 17 15 13 12 11 11 10 10 10 11 11 11 12 12 13 13 14 14 15 15 15 14 14 13 13 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 11 11 12 13 15 16 18 17 14 11 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 8 9 10 12 14 14 12 9 6 4 nan
nan 10 11 11 11 11 11 11 11 11 10 10 10 10 9 7 6 5 4 3 3 1 -0 -2 -3 -5 -6 -8 -9 -10 -10 -9 -7 -4 2 8 16 23 31 36 42 45 48 48 48 46 44 40 37 33 30 27 24 21 20 17 16 15 14 13 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 12 12 11 11 11 10 10 9 9 9 8 8 8 8 7 8 8 8 8 8 9 9 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 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 5 5 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 9 10 11 12 13 12 12 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 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 12 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 8 8 8 9 10 11 12 12 12 11 10 10 10 10 10 10 11 11 10 10 10 9 8 7 7 6 6 5 5 6 7 10 12 15 16 16 15 14 14 14 15 17 19 21 22 22 22 20 18 16 15 13 12 11 11 10 10 11 11 12 12 13 13 14 14 14 15 15 15 15 14 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 10 10 11 12 13 14 15 16 15 13 11 9 8 9 10 10 11 12 12 11 11 10 10 10 11 10 10 10 10 10 8 7 8 9 11 12 13 12 11 9 8 nan
nan 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 8 7 6 5 5 4 3 2 0 -1 -3 -4 -6 -7 -8 -9 -9 -8 -7 -3 1 8 13 21 27 33 38 42 44 46 46 44 43 40 37 34 31 28 25 23 21 18 17 15 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 8 7 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 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 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 10 9 8 8 8 9 9 11 11 12 12 11 11 10 10 10 10 10 11 10 10 10 9 8 8 7 7 6 6 5 5 6 7 9 12 15 16 17 16 15 14 14 15 16 18 20 21 22 21 20 19 17 16 14 13 12 11 11 11 11 11 12 12 13 13 14 14 15 15 15 15 15 15 14 13 13 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 9 9 9 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 10 10 11 12 13 14 15 15 14 12 10 8 7 8 9 10 11 12 13 12 11 11 10 11 11 12 11 11 10 10 8 8 8 9 10 10 11 11 11 10 10 nan
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nan 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 14 13 14 14 14 14 14 13 13 14 14 13 13 14 14 13 14 14 13 13 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 14 14 15 15 15 15 15 14 14 14 14 14 14 14 14 13 13 13 12 13 12 12 13 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 13 13 14 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 12 13 13 12 12 12 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 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 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 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 14 14 15 15 15 15 15 15 14 14 15 14 14 13 13 14 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 14 13 14 14 13 12 12 12 12 12 12 12 12 12 13 13 14 13 14 14 14 14 14 14 14 14 14 nan
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nan 13 13 13 13 13 13 14 14 13 13 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 14 14 14 14 14 14 14 13 13 14 14 14 14 14 13 13 14 14 13 14 14 14 13 14 14 13 14 14 14 14 13 13 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 13 13 13 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 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 13 12 13 13 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 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 10 10 10 10 10 10 10 10 10 10 10 10 10 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 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 13 13 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 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 14 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 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 15 15 16 16 16 16 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15 14 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 15 14 15 15 15 15 15 16 16 16 17 17 16 15 15 15 15 15 13 12 13 12 12 12 12 12 12 12 12 13 12 12 13 nan
nan 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 14 14 14 14 14 14 14 14 14 14 14 14 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 13 14 14 13 14 14 14 14 14 14 14 14 14 14 15 14 14 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 14 13 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 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 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 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 14 14 14 14 14 14 14 13 14 14 14 14 14 14 14 14 14 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 15 14 14 14 14 14 14 13 13 13 13 13 13 13 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 14 14 14 14 14 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 14 14 14 14 14 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 15 15 16 16 15 15 15 15 15 15 15 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14 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 15 15 15 15 15 16 16 16 16 16 16 17 17 17 17 16 16 16 15 15 15 14 13 13 13 13 12 12 12 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 2 2 4 5 7 9 13 17 21 24 25 24 22 19 16 14 12 11 11 12 13 14 15 17 21 22 23 23 22 22 21 21 21 22 24 26 29 31 32 33 34 35 36 35 34 32 33 34 34 33 32 33 33 32 31 31 30 29 27 25 22 19 17 15 13 11 9 9 10 11 11 12 13 13 14 16 18 19 18 16 17 18 22 25 28 30 32 34 34 34 37 40 43 45 46 47 49 51 56 63 71 78 83 85 85 83 82 85 88 91 96 91 84 74 58 48 41 39 38 37 37 38 40 41 43 43 42 39 34 31 27 25 23 23 24 25 24 23 22 21 22 23 24 22 19 17 16 15 14 13 12 11 12 12 13 14 14 14 13 14 15 16 17 16 15 14 13 12 11 11 10 10 10 10 11 12 12 13 15 16 18 21 24 28 33 38 44 51 57 63 68 72 74 68 62 58 56 52 50 47 43 40 40 40 39 40 41 40 41 45 48 52 58 65 71 79 88 99 107 109 112 115 119 125 131 139 148 155 158 163 166 166 166 168 175 181 181 182 186 185 185 188 198 204 208 213 224 240 257 268 271 276 286 299 310 316 320 321 330 337 331 332 336 332 323 317 325 323 318 309 293 283 273 265 260 258 257 250 240 227 216 201 174 145 123 111 106 98 91 87 87 90 94 95 95 96 94 98 104 116 133 145 159 173 178 171 170 187 210 233 247 236 215 198 184 166 149 134 110 85 65 52 50 54 69 89 102 102 95 87 82 85 92 96 98 102 106 108 108 100 86 71 57 51 51 53 53 49 40 30 21 13 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 3 4 5 5 4 3 4 5 7 11 13 16 18 19 19 18 16 14 10 7 7 6 6 6 7 9 11 11 10 8 6 5 5 6 6 6 5 5 4 4 3 2 1 2 3 4 4 3 3 4 5 6 6 7 7 8 7 8 9 9 10 12 12 11 11 11 9 8 7 5 4 3 2 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 1 0 0 0 1 0 0 0 0 0 0 0 0 1 3 4 2 0 0 0 0 0 0 0 0 0
11 6 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 10 14 18 21 22 22 21 19 17 15 13 12 10 9 8 8 9 10 11 12 13 14 14 14 14 15 15 16 18 21 25 28 30 30 30 31 31 31 31 32 34 35 34 34 34 33 33 33 33 33 33 32 30 24 18 16 14 11 9 8 8 12 13 13 13 12 12 12 13 16 17 16 16 16 17 18 20 24 27 31 34 35 35 37 40 45 49 52 53 54 56 59 63 68 74 77 80 82 84 85 88 91 94 94 88 80 68 55 45 40 36 34 36 37 38 40 41 41 42 42 39 36 33 29 25 24 23 23 21 20 20 19 20 21 22 20 18 16 16 15 14 12 11 11 11 11 12 12 13 14 14 13 14 15 16 15 15 13 12 11 11 10 9 9 10 10 10 11 12 13 14 16 18 21 25 29 32 37 43 49 56 64 71 73 73 71 64 56 52 49 46 42 39 37 34 31 30 30 30 31 34 37 42 47 53 59 69 80 88 100 111 120 125 131 138 145 153 163 173 186 191 190 193 184 180 179 178 179 181 184 188 191 192 191 193 200 209 229 243 255 269 283 299 307 313 320 332 342 351 362 369 374 370 362 355 355 354 348 342 342 333 323 309 292 281 273 264 258 253 250 245 237 228 221 213 197 169 143 127 118 107 96 92 91 93 95 98 98 96 96 106 117 123 129 136 148 169 184 184 174 174 193 216 234 239 221 201 184 173 165 156 134 105 77 56 52 56 71 89 100 106 104 97 91 89 92 90 87 87 89 91 92 93 88 77 62 54 52 52 53 51 45 36 26 17 10 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 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 1 1 2 2 2 2 2 2 3 4 5 4 3 3 4 6 8 11 13 15 16 17 18 17 16 13 9 7 7 6 6 7 8 9 10 11 10 8 7 6 6 7 7 7 5 5 4 4 2 1 2 2 3 4 3 3 3 3 4 5 6 6 7 8 8 9 9 9 10 12 11 10 10 11 11 9 8 6 6 4 3 2 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 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
23 15 9 6 3 2 2 1 1 1 1 1 0 0 0 0 1 1 1 1 1 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 6 8 11 15 17 18 18 19 18 17 15 14 12 10 9 7 7 6 6 6 7 7 7 7 8 9 10 11 13 15 20 23 25 25 25 26 27 28 29 31 32 33 34 34 35 35 35 36 36 35 35 34 32 27 21 16 12 9 8 7 8 11 14 14 12 11 10 10 11 15 17 16 15 14 14 15 16 21 26 31 35 35 34 33 37 43 50 53 56 59 62 64 65 67 70 72 74 77 80 82 84 84 84 84 77 69 59 47 41 37 33 34 35 37 39 39 38 39 40 39 38 36 32 29 25 22 21 20 18 18 19 19 18 19 18 16 15 14 13 13 12 10 9 9 10 11 12 12 13 13 13 13 14 14 14 14 13 12 11 10 10 9 9 9 9 9 10 11 13 13 14 16 18 21 25 30 34 40 47 53 59 67 73 75 73 68 60 52 46 42 37 32 27 29 28 26 25 24 24 26 30 35 41 50 61 72 85 98 110 124 138 144 152 161 171 176 181 189 198 208 205 201 198 187 180 176 174 174 177 179 182 186 191 195 207 216 229 260 276 285 294 302 314 323 331 338 341 347 356 370 384 394 393 383 371 363 363 361 356 348 337 321 306 294 282 271 265 262 258 253 247 240 231 223 218 214 203 182 157 138 120 105 96 93 94 96 99 101 100 99 102 112 120 124 130 142 156 173 182 176 166 178 202 225 236 223 200 182 177 179 174 158 130 99 72 58 63 75 92 108 113 114 106 98 92 88 83 80 77 75 73 74 78 81 79 69 57 51 49 50 50 47 40 31 22 14 7 3 1 1 0 0 0 0 0 0 0 0 0 0 0 1 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 1 2 2 2 2 2 2 2 3 4 5 4 3 4 5 6 8 10 12 13 14 16 17 17 15 12 9 8 7 6 6 7 7 9 10 11 11 9 8 8 7 7 7 7 6 5 4 4 2 1 2 2 3 4 3 2 3 3 4 4 4 5 7 8 8 8 9 10 10 11 10 10 10 11 11 10 9 8 6 5 4 3 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0
32 23 16 11 7 4 3 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 2 2 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 6 9 11 12 13 14 14 15 14 13 12 12 10 9 9 8 7 6 6 5 5 5 5 5 6 7 9 11 14 16 18 19 20 22 22 24 26 28 29 31 33 36 36 38 38 38 37 36 34 32 31 28 25 20 15 10 7 7 11 17 17 15 12 10 8 8 10 13 15 14 13 12 12 11 13 17 24 31 34 35 29 27 30 38 46 51 56 60 66 69 71 71 70 69 70 71 73 75 77 77 73 67 64 58 51 43 38 35 33 33 35 37 38 37 37 38 38 36 33 32 30 27 25 22 19 17 17 16 17 17 17 15 14 13 12 12 12 11 9 8 9 9 9 10 11 11 12 13 13 13 13 14 13 12 11 10 9 9 9 8 9 9 9 10 10 11 11 11 12 14 16 20 24 29 34 39 46 53 60 66 71 69 65 60 51 45 40 35 28 25 23 23 24 24 24 24 25 27 32 39 49 59 72 87 102 115 126 142 155 157 164 173 180 180 180 183 185 188 187 188 184 178 172 168 164 162 167 172 174 189 200 213 241 255 267 277 283 288 291 295 303 315 321 326 330 333 341 355 371 386 398 401 389 378 371 367 368 364 354 338 324 311 298 285 276 272 271 267 261 256 244 231 222 215 208 196 187 169 145 121 106 98 97 99 102 104 105 103 103 110 116 125 135 148 157 168 178 182 181 177 190 208 220 218 198 177 172 177 181 169 133 106 85 72 72 87 105 119 124 123 117 109 99 90 81 74 70 66 62 57 57 63 67 65 58 50 47 46 47 47 42 35 27 19 11 5 2 0 0 0 0 0 0 0 0 0 0 0 1 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 3 3 4 4 3 4 5 5 6 8 10 11 13 14 15 16 16 15 12 9 8 7 6 6 6 7 8 9 10 11 9 9 8 8 8 8 8 6 5 4 4 3 2 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 6 8 10 10 10 10 10 11 10 10 10 11 11 8 6 5 4 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
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33 37 42 46 46 49 55 64 70 75 84 87 94 104 111 117 114 113 105 98 89 81 73 65 57 51 47 43 40 39 41 42 37 32 30 31 28 25 22 19 17 14 14 15 15 15 16 16 17 18 20 20 19 19 19 19 19 21 22 23 25 28 32 35 37 38 39 38 36 33 30 28 26 24 24 23 21 21 20 21 22 24 27 28 29 28 25 22 20 19 18 19 21 23 24 25 24 23 22 21 20 19 18 17 15 15 15 14 13 12 12 11 10 9 7 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 5 5 6 7 8 9 10 11 11 11 11 11 12 13 13 14 15 16 17 20 24 30 32 33 25 17 11 8 7 6 6 5 5 5 4 4 5 6 6 5 4 4 4 3 5 6 6 6 8 13 14 12 9 6 4 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 5 5 6 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 8 9 10 11 11 13 14 18 27 39 53 60 61 60 59 58 56 57 60 62 65 68 70 68 63 58 55 57 62 72 81 90 88 85 82 80 76 70 59 46 36 35 35 36 43 77 124 179 194 186 162 158 185 239 288 326 354 369 341 299 251 209 171 144 129 112 96 88 83 78 84 91 95 93 86 79 77 75 85 101 118 138 161 180 196 209 213 212 211 211 215 216 215 205 188 163 136 117 101 83 78 74 71 84 92 97 100 99 94 86 78 70 60 47 35 24 17 12 9 6 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 1 1 2 2 2 2 2 3 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 4 5 8 10 11 14 18 22 30 35 39 43 43 43 43 42 39 37 40 40 41 43 44 46 49 53 55 56 57 58 58 57 55 54 53 49 44 38 33 27 23 20 18 17 18 14 11 8 6 6 6 7 8 8 8 8 8 9 11 13 16 19 21 21 19 18 16 15 14 14 14 15 15 14 14 12 10 7 7 8 12 18 22 26 30 32 32 28 25 22 23 22 19 16 15 14 12 12 12 12 10
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156 158 156 153 154 159 160 161 158 161 151 145 139 136 134 136 141 145 146 151 151 156 161 162 160 156 149 142 134 125 120 116 116 115 115 114 113 112 115 118 120 121 123 127 127 124 115 107 97 86 75 65 59 55 50 46 41 37 32 29 27 24 23 22 20 18 15 13 10 8 6 6 6 5 5 5 5 4 3 2 2 2 2 2 3 3 3 4 5 6 6 7 7 8 9 10 10 11 11 10 9 8 7 7 6 5 4 3 2 2 3 4 4 5 6 7 8 10 10 11 12 12 12 12 11 11 12 12 12 13 13 13 12 11 10 8 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 4 5 5 6 7 8 9 9 10 10 10 10 9 9 10 10 11 13 15 17 20 24 27 29 30 30 29 27 23 21 17 15 12 9 9 9 9 9 10 12 12 12 11 10 9 7 6 6 6 6 6 6 6 6 5 5 4 3 3 3 4 5 6 7 8 8 8 7 6 5 4 3 2 2 2 2 2 3 4 5 5 7 7 7 7 6 5 3 2 2 2 3 3 3 3 3 4 5 6 7 8 8 8 10 11 12 13 15 15 15 14 15 16 18 18 19 19 19 18 17 16 15 15 19 23 27 32 38 47 54 61 65 65 64 62 60 60 61 62 63 64 66 71 79 89 96 95 92 88 82 77 71 65 60 55 51 49 49 48 46 44 43 42 44 42 41 40 42 44 45 45 45 43 41 37 35 32 30 29 30 31 32 32 32 32 33 33 34 34 34 33 34 34 35 34 32 28 26 25 23 21 19 17 16 15 15 14 14 13 11 10 8 6 5 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 3 2 2 2 2 1 1 2 2 3 4 5 7 11 16 22 27 32 35 37 37 38 39 37 31 16 7 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 1 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 1 1 2 2 3 4 6 7 6 5 4 5 4 3 2 0 0 0 0 0 1 3 4 5
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181 181 178 173 173 175 180 185 189 185 183 180 178 182 189 191 191 189 186 185 184 180 177 172 169 167 163 156 151 149 150 152 156 158 160 160 161 162 165 168 169 168 170 167 161 152 141 131 121 109 96 83 72 64 58 53 48 44 39 35 32 30 27 26 24 22 21 19 17 14 12 11 10 10 10 9 8 7 7 8 7 5 4 2 2 2 3 3 3 3 4 5 5 5 6 7 8 9 10 12 13 14 15 14 13 12 11 11 10 9 7 6 5 4 5 7 9 10 10 10 11 11 12 12 12 12 11 11 11 11 12 13 13 13 11 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 4 5 5 6 7 8 9 9 10 10 10 10 9 9 10 10 10 10 12 15 18 21 24 26 28 28 27 26 23 21 19 17 14 12 10 9 9 9 10 11 12 13 14 14 12 10 9 8 7 6 7 6 6 5 5 4 5 5 5 4 3 4 5 6 7 7 7 8 8 7 6 5 4 2 1 1 1 2 2 2 3 4 6 7 7 7 6 6 5 4 2 2 2 2 2 3 3 3 3 4 5 6 6 7 8 9 10 11 13 14 16 17 16 16 15 15 16 17 17 17 17 17 16 15 14 14 16 19 23 28 36 45 53 58 63 65 67 68 69 69 71 73 72 70 66 64 62 66 72 78 84 87 85 82 78 75 71 65 56 48 42 40 39 42 43 44 46 46 46 48 49 50 50 50 51 52 51 49 46 43 41 40 40 41 40 39 38 36 34 33 33 34 34 34 33 33 33 33 31 29 26 22 18 16 15 15 15 16 16 16 16 16 15 13 12 10 9 7 5 4 4 3 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 9 14 22 29 34 33 35 37 39 38 32 14 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 2 2 2 3 3 2 2 2 2 2 2 3 3 3 3 3 3 5 6 7 7 7 7 7 7 7 4 2 0 0 0 0 0 0 0 0 1 2 3 4
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31 37 40 42 43 44 46 48 50 53 56 59 62 67 73 78 81 82 81 79 79 79 78 79 79 79 81 81 82 85 88 89 88 87 86 84 82 79 74 70 65 62 61 62 63 63 62 63 64 65 65 65 64 65 65 65 65 65 65 64 63 61 60 59 57 57 56 55 54 54 51 45 40 39 39 41 41 41 41 39 35 29 25 21 20 21 24 27 30 32 31 30 28 25 22 18 14 9 7 6 2 5 7 8 12 14 15 17 19 22 26 32 35 38 40 41 42 41 41 41 41 40 40 39 38 36 35 35 35 35 34 34 33 32 31 30 29 30 31 31 31 29 27 25 22 19 18 21 21 19 16 12 14 17 21 25 29 30 30 29 27 25 21 16 12 10 8 6 6 5 4 4 5 5 6 5 4 4 3 3 5 7 10 13 17 17 17 18 20 22 26 33 40 48 55 55 53 50 46 42 37 34 31 29 28 25 22 20 17 14 11 9 7 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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