Bounds on the minimum distance of additive quantum codes

Bounds on [[178,129]]₂

lower bound:	8
upper bound:	14
Construction

Construction of a [[178,129,8]] quantum code:
[1]:  [[256, 214, 8]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 7
[2]:  [[178, 136, 8]] quantum code over GF(2^2)
     Shortening of [1] at { 12, 54, 104, 105, 107, 111, 113, 114, 116, 117, 121, 122, 124, 125, 126, 131, 132, 133, 134, 135, 136, 138, 139, 141, 144, 150, 154, 156, 157, 163, 164, 166, 167, 168, 171, 175, 177, 178, 179, 184, 187, 188, 189, 193, 195, 196, 197, 198, 202, 206, 209, 210, 211, 212, 215, 216, 218, 219, 221, 223, 224, 225, 230, 232, 234, 237, 238, 240, 241, 242, 246, 247, 248, 250, 252, 254, 255, 256 }
[3]:  [[178, 129, 8]] quantum code over GF(2^2)
     Subcode of [2]

    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 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 0 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 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 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 1 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 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 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 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 1 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 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 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 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 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 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 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 0 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 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 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 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 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 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 0 1 0 1 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 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 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 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 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 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 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 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 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 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 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 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 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 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 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 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 0 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 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 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 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 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 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 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 1 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 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 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 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 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 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 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 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 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 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 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 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 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 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 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 0 0 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 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 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 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 0 0 1 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 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 1 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 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 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 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 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 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 1 1 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 1 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 0 1 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 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 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 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 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 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 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 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 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 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 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 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 1 1 0 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 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 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 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 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 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 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 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 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 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 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 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 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 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 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 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 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 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 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 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 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 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 0 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 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 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 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 0 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 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 1 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 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 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 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 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 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 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 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 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 1 0 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 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 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 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 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 0 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 1 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 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 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 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 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 0 0 1 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 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 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 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 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 0 0 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 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 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 1 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 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 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 1 0 1 0 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 1 1 0 1 1 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 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 1 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 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 1 0 1 1 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 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 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 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 0 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 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 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 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 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 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 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 1 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 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 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 1 0 0 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 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 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 1 0 1 1 1 1 1 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 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 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 1 1 0 0 1 0 1 1 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 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 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 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 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 1 0 1 1 1 0 0 1 1 1 1 0 0 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 1 0 0 0 1 0 0 0 1 1 1 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 [[178,129]]2

Construction

Notes

Bounds on [[178,129]]₂
