Bounds on the minimum distance of additive quantum codes

Bounds on [[166,115]]₂

lower bound:	10
upper bound:	15
Construction

Construction of a [[166,115,10]] quantum code:
[1]:  [[256, 206, 10]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 9
[2]:  [[166, 116, 10]] quantum code over GF(2^2)
     Shortening of [1] at { 11, 24, 31, 36, 40, 48, 50, 51, 52, 55, 56, 57, 59, 60, 62, 63, 64, 65, 66, 68, 70, 75, 78, 79, 83, 84, 85, 94, 97, 102, 106, 108, 116, 120, 125, 128, 130, 134, 135, 140, 141, 142, 144, 147, 148, 149, 150, 151, 154, 159, 160, 161, 162, 164, 167, 171, 173, 175, 176, 179, 181, 182, 186, 187, 189, 190, 192, 194, 202, 205, 207, 208, 210, 216, 217, 218, 220, 221, 224, 226, 227, 228, 230, 237, 238, 241, 242, 247, 254, 256 }
[3]:  [[166, 115, 10]] 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 0 0 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 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 1 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 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 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 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 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 0 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 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 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 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 1 1 1 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 1 0 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 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 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1|0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 0 0 0 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 0 0 0 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 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 1 1 1 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 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 1 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 1 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 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 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 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 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 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 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 1 0 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 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 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 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 1 0 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 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 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 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 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 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 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 1 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 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 0 1 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 0 0 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 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 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 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 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 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 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 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 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 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 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 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 0 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 0 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 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 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 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 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 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 1 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 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 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 1 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 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 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 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 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 1 0 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 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 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 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 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 1 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 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 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 0 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 1 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 1 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 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 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 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 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 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 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 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 1 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 0 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 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 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 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 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 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 0 0 0 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 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 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 0 1 0 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 0 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 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 1 0 1 1 0 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 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 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 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 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 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 0 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 0 1 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 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 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 0 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 0 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 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 1 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 1 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 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 1 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 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 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 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 1 0 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 0 0 0 0 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 [[166,115]]2

Construction

Notes

Bounds on [[166,115]]₂
