Bounds on the minimum distance of additive quantum codes

Bounds on [[159,111]]₂

lower bound:	9
upper bound:	14
Construction

Construction of a [[159,111,9]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[159, 111, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 3, 7, 8, 9, 15, 16, 23, 24, 25, 26, 27, 28, 29, 30, 32, 33, 35, 37, 38, 40, 41, 42, 44, 46, 49, 53, 61, 62, 64, 66, 67, 69, 71, 79, 80, 83, 88, 92, 101, 103, 105, 106, 109, 111, 112, 114, 119, 121, 123, 124, 125, 127, 128, 136, 137, 138, 139, 144, 151, 152, 158, 164, 165, 167, 172, 173, 175, 182, 188, 189, 194, 200, 203, 210, 211, 212, 214, 215, 217, 218, 223, 224, 225, 226, 227, 228, 233, 235, 237, 244, 248, 249, 250, 252, 254 }

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 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 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 1 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 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1]
      [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 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 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 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 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 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 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 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 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 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 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 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 1 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 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 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 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 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 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 1 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 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 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 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 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 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 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1|0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 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 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 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 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 0 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 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 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 1 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0|0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 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 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 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 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 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 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 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 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 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 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 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 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 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 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 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 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 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 1 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 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 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 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 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 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 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 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 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 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 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 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 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 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 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 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 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 0 1 1 1 1 1 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 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 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 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 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 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 1 1 0 1 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 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 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 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 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 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 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 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 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 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 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 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1]

last modified: 2009-02-08
Notes

All codes establishing the lower bounds where constructed using MAGMA.
Most upper bounds on qubit codes for n≤100 are based on a MAGMA program by Eric Rains.
For n>100, the upper bounds on qubit codes are weak (and not necessarily monotone in k).
Some additional information can be found in the book by Nebe, Rains, and Sloane.
My apologies to all authors that have contributed codes to this table for not giving specific credits.
This page is maintained by Markus Grassl (codes@codetables.de). Last change: 10.06.2024
Bounds on the minimum distance of additive quantum codes

Bounds on [[159,111]]2

Construction

Notes

Bounds on [[159,111]]₂
