Bounds on the minimum distance of additive quantum codes

Bounds on [[176,122]]₂

lower bound:	9
upper bound:	16
Construction

Construction of a [[176,122,9]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[170, 122, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 12, 16, 36, 38, 48, 51, 52, 53, 56, 57, 60, 61, 65, 68, 72, 74, 78, 80, 82, 83, 84, 87, 88, 89, 90, 91, 92, 93, 96, 97, 102, 106, 107, 108, 110, 116, 119, 121, 123, 127, 132, 133, 134, 138, 142, 149, 151, 158, 161, 163, 164, 165, 169, 175, 178, 179, 181, 183, 189, 192, 194, 199, 200, 206, 209, 211, 213, 214, 215, 217, 220, 227, 229, 230, 231, 233, 235, 237, 238, 244, 246, 247, 249, 250, 252 }
[3]:  [[176, 122, 9]] quantum code over GF(2^2)
     ExtendCode [2] by 6

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

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 [[176,122]]2

Construction

Notes

Bounds on [[176,122]]₂
