Bounds on the minimum distance of additive quantum codes

Bounds on [[136,71]]₂

lower bound:	11
upper bound:	21
Construction

Construction of a [[136,71,11]] quantum code:
[1]:  [[255, 191, 11]] quantum code over GF(2^2)
     BCH code with parameters 255 11
[2]:  [[136, 72, 11]] quantum code over GF(2^2)
     Shortening of [1] at { 12, 26, 39, 40, 42, 44, 46, 47, 49, 50, 57, 58, 62, 63, 65, 68, 70, 71, 72, 73, 74, 76, 78, 79, 80, 81, 83, 86, 87, 90, 92, 93, 94, 96, 97, 98, 99, 101, 102, 103, 105, 108, 111, 112, 114, 115, 118, 119, 125, 127, 130, 134, 136, 137, 138, 139, 141, 145, 146, 148, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 165, 166, 167, 168, 172, 177, 179, 182, 183, 186, 187, 191, 194, 196, 198, 199, 200, 201, 208, 210, 214, 216, 217, 218, 219, 221, 223, 224, 226, 228, 229, 230, 231, 235, 236, 238, 239, 240, 242, 243, 245, 246, 247, 251, 252, 255 }
[3]:  [[136, 71, 11]] 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 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 0|1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 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 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 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 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 1 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 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 1|0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 0 0 1 1 0 0 1 1 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 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 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 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 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 0 0 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 0|0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1|0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0]
      [0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 0 1 1 0 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 0 0 0 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 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 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 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 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 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 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 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 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 1 0 1 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 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 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 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 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 0 1 1 1 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 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 1 1 0 1 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 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 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 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 0 1 1 1 1 1 0 0 0 0 1 1 0 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 0 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 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 1 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 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 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 0 0 0 1 1 0 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 0 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 0 1 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 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 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 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 1 0 1 0 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 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 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 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 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 1 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 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 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 1 1 1 1 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 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 1 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 0 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 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 1 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 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 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 1 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 0 0 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 0 0 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 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 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 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 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 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 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 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 1 0 0 0 1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 1 0 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 0 0 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 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 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 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 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 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 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 1 1 0 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 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 1 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 0 0 0 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 1 1 1 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 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 0 1 1 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 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 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 1 0 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 0 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 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 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 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 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 0 1 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 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 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 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 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 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 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 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 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 0 1 0 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 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 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 0 0 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 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 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 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 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 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 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 0 0 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 1 1 1 1 1 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 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 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 0 1 0 1 1 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0 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 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 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 [[136,71]]2

Construction

Notes

Bounds on [[136,71]]₂
