Bounds on the minimum distance of additive quantum codes

Bounds on [[176,124]]₂

lower bound:	8
upper bound:	15
Construction

Construction of a [[176,124,8]] quantum code:
[1]:  [[256, 214, 8]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 7
[2]:  [[176, 134, 8]] quantum code over GF(2^2)
     Shortening of [1] at { 11, 58, 59, 104, 105, 106, 107, 108, 110, 112, 115, 116, 117, 120, 121, 122, 123, 125, 126, 128, 129, 130, 133, 136, 137, 141, 142, 143, 149, 150, 154, 155, 157, 158, 159, 160, 161, 164, 165, 168, 169, 170, 171, 172, 175, 177, 181, 184, 185, 190, 191, 193, 194, 195, 196, 201, 202, 203, 204, 209, 212, 213, 214, 215, 219, 221, 222, 228, 230, 231, 233, 234, 237, 238, 240, 242, 247, 248, 250, 256 }
[3]:  [[176, 124, 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 0 1 1 0 1 1 0 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 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 1 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 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 0 1 0 1 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 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 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 0 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 0 0 0 0 0 0 1 0 0 1 0 1 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 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 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1|1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 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 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 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 1 0 0 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 1 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 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 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 0 0 1 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 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 1 0 1 1 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 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 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 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 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 0 1 0 0 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 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 1 0 0 0 1 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 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 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 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 0 1 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 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 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 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 1 0 0 0 0 0 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 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 1 0 0 0 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 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 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 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 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 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 0 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 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 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 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 0 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 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 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 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 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 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 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 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 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 0 0 0 0 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 0 1 1 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 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 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 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 1 0 1 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 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 0 1]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 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 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 0 1 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 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 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 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 0 1 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 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 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 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 1 0 1 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 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 1 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 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 1 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 1 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 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 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 0 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 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 1 1 1 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 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 0 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 1 0 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 0|0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 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 0 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 1 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 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 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 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 0 1 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 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 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 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 0 1 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 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 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 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 0 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 0 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 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 0 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 0 0 0 0 0 0 0 0 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 1 0 1 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 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 0 1 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 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 1 0 1 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 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 1 1 1 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 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 1 0 0 0 0 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 1 0 0 1 1 0 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 0 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 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 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 0 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 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 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 1 0 0 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 0 1 1 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 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 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 0 0 0 0 1 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 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 0 0 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 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 0 1 1 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 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 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 0 0 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 0 1 1 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 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 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 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 0 1 0 1 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 1 0 1 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 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 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 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 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 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 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 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 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 1 0 0 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 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 0 1 1 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 0 1 1 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 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 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 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 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 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 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 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 0 1 0 0 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 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 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 0 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 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 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 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 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 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 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 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 1 0 1 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 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 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 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 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 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 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 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 0 0 0 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 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 1 1 1 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 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 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 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 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 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 0 1 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 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 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 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 1 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 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 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 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 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 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 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 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 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 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 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 0 1 0 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 1 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 1 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 0 0 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 1 0 1 1 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 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 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 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 1 0 1 1 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 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 0 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 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 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 1 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 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 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 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 1 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 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 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 0 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 1 0 0 0 0 0 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 0 1 1 1 1 1 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 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 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 1 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 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 0 1 1 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 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 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 0 0 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 0 1 1 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 0 1 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 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 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 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 1 0 0 0 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 1 0 1 0 1 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 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 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 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 0 1 0 1 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 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 1 1 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 1 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 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 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 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 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 0 1 0 0 0 1 1 1 1 0 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 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 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 0 1 1 1 1 1 1 1 1 0 0 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 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 0 1 0 1 0 1 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 1 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 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 1 0 1 0 0 0 1 1 1 0 1 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 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 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 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 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 1 1 0 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 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 1 0 0 1 1 1 0 0 1 1 0 0 0 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 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 1 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 1 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 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 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 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 [[176,124]]2

Construction

Notes

Bounds on [[176,124]]₂
