Bounds on the minimum distance of additive quantum codes

Bounds on [[155,105]]₂

lower bound:	9
upper bound:	15
Construction

Construction of a [[155,105,9]] quantum code:
[1]:  [[255, 207, 9]] quantum code over GF(2^2)
     BCH code with parameters 255 9
[2]:  [[155, 107, 9]] quantum code over GF(2^2)
     Shortening of [1] at { 14, 20, 49, 51, 52, 54, 55, 56, 57, 58, 60, 61, 68, 70, 71, 72, 73, 74, 76, 78, 84, 88, 91, 93, 94, 95, 99, 100, 101, 103, 105, 106, 109, 112, 114, 116, 117, 119, 122, 123, 124, 125, 126, 128, 129, 131, 134, 136, 137, 138, 139, 142, 144, 146, 147, 150, 151, 154, 155, 156, 157, 159, 160, 162, 163, 166, 167, 168, 169, 180, 181, 185, 186, 188, 189, 190, 198, 200, 203, 206, 207, 208, 209, 212, 213, 218, 220, 221, 223, 225, 230, 233, 235, 238, 239, 242, 249, 250, 252, 253 }
[3]:  [[155, 105, 9]] 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 1 0 0 1 0 0 1 0 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 0 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 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 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 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 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 1 1 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 0 0 0 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 1 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 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 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 0 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 0 1 1 0 0 1|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 0 0 1 0 1]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 0 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 0 1 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 1 1 1 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 1 0 1 1 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 1 0 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 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 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 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 0 0 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 1 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 1 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0 1 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 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 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 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0|0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 1 0]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 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 1 1 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 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 1 1 1 0 0 1 0 1 1 0 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1|0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 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 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 1 0 0 1 0 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 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 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 1 0 0 0 1 1 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 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 1 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 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 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 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 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 1 0 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 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 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 1 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 0 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 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 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 0 1 0|0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 0 1 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 1 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 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 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 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 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 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 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 1 0 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 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 1 1 0 0 1 0 1 1 1 0 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 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 1 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 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 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 1 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 1 0 1 0 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 0 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 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 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 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 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 1 1 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 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 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 1 0 1 1 0 0 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 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 1 0 0 1 0 0 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 0 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 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 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 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 0 1 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 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 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 0 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 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 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 1 0 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 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 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 1 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 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 1 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 1 1 0 0 0 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 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 1 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 0 1 0 1 1 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 1 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 1 0 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 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 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 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 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 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 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 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 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 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 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 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 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 1 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 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 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 0 0 0 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 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 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 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 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 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 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 0 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 0 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 1 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 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 1 0 0 1 0 0 1 1 1 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 1 1 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 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 1 1 1 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 1 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 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 0 0 0 1 1 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 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 1 1 1 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 1 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 [[155,105]]2

Construction

Notes

Bounds on [[155,105]]₂
