Bounds on the minimum distance of additive quantum codes

Bounds on [[174,130]]₂

lower bound:	8
upper bound:	12
Construction

Construction of a [[174,130,8]] quantum code:
[1]:  [[256, 214, 8]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 7
[2]:  [[174, 132, 8]] quantum code over GF(2^2)
     Shortening of [1] at { 1, 33, 106, 107, 108, 109, 110, 112, 113, 114, 118, 119, 122, 123, 124, 125, 132, 135, 137, 139, 143, 145, 146, 149, 150, 153, 155, 156, 158, 159, 161, 162, 163, 166, 167, 168, 169, 171, 173, 174, 175, 176, 177, 178, 181, 182, 187, 188, 189, 191, 197, 198, 199, 202, 203, 204, 205, 211, 212, 214, 215, 217, 218, 221, 225, 230, 231, 235, 236, 238, 240, 241, 243, 244, 245, 246, 248, 249, 251, 252, 255, 256 }
[3]:  [[174, 130, 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 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 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 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 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 0 0 0 0 0 1 1 1 0 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 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 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 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 0 0 0 0 0 0 0 1 1 1 0 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 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 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 1 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 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 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 0 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 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 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 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 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 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 1 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 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 1 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 0 0 0 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 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 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 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 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 1 0 0 0 1 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 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 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 1 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 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 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 0 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 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 0 0 0 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 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 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 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 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 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 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 0 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 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 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 0 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 1 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 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 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 1 0 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 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 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 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 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 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 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 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 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 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 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 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 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 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 0 1 0 0 0 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 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 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 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 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 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 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 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 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 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 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 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 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 1 1 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 0 0 1 0 0 0 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 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 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 0 0 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 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 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 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 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 1 1 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 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 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 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 0 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 1 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 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 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 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 0 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 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 1 0 1 0 1 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 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 1 1 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 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 0 1 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 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 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 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 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 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 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 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1|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 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 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 1 0 0 1 1 0 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 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 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 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 1 1 1 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 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 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 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 1 1 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 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 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 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 1 1 1 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 0 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 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 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 1 0 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 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 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 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 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 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 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 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 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 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 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 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 0 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1 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 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 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 1 1 1 0 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 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 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 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 1 1 1 0 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 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 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 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 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 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 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 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 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 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 1 0 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 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 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 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 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 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 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 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 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 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 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 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 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 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 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 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 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 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 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 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 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 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 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 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 1 1 0 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 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 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 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 1 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 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 1 0 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 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 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 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 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 1 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 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 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 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 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 1 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 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 1 0 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 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 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 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 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 1 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 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 1 0 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 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 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 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 1 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 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 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 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 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 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 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 1 0 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 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 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 0 0 1 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 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 0 1 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 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 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 1 1 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 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 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 0 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 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 1 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 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 1 0 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 0 1 0 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 1 1 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 1 1 1 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 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 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 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 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 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 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 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 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 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 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 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 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 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 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 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 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 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 0 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 1 0 0 0 0 0 1 1 1 0 1 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 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 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 1 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 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 1 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 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 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 1 1 0 1 0 0 1 0 1 1 0 1 1 1 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 [[174,130]]2

Construction

Notes

Bounds on [[174,130]]₂
