Bounds on the minimum distance of additive quantum codes

Bounds on [[137,76]]₂

lower bound:	11
upper bound:	19
Construction

Construction of a [[137,76,11]] quantum code:
[1]:  [[256, 198, 11]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 10
[2]:  [[134, 76, 11]] quantum code over GF(2^2)
     Shortening of [1] at { 2, 3, 7, 10, 12, 13, 14, 15, 16, 18, 20, 21, 23, 26, 27, 29, 30, 31, 32, 35, 36, 38, 39, 40, 41, 44, 46, 48, 56, 57, 58, 60, 61, 63, 70, 71, 72, 73, 74, 75, 77, 78, 79, 81, 84, 87, 89, 91, 93, 94, 95, 96, 97, 98, 100, 103, 105, 106, 115, 117, 122, 129, 130, 131, 136, 138, 139, 144, 145, 146, 147, 153, 155, 157, 159, 160, 161, 163, 164, 165, 166, 168, 171, 173, 175, 176, 177, 178, 180, 189, 190, 192, 193, 194, 196, 198, 203, 204, 205, 206, 211, 213, 215, 216, 218, 220, 221, 224, 225, 226, 231, 232, 233, 236, 237, 239, 241, 242, 247, 248, 250, 254 }
[3]:  [[137, 76, 11]] quantum code over GF(2^2)
     ExtendCode [2] by 3

    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 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 1 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 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 1 1 1 1 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 0 0 0 0 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 1 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 0 1 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 1 1 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 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 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 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 0|0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 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 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0|0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 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 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 0 0 0 0]
      [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 0 1 1 0 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 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 1 1 0 0 0 1 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 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 0 0 0|0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 0 1 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0]
      [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 1 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 1 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 1 1 1 1 0 0 1 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 0 0 1 1 1 0 0 1 1 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 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 1 1 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 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 0 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 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 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 1 0 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 1 0 1 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 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 0 0 0|0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 0 0 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 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 0 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 0 0 0 1 0 0 0 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 0 0 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 0 1 0 0 0 0 1 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 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 1 0 0 0 0 0|0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 1 0 1 1 0 0 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 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 0 1 1 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 0 0 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 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 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 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 0 0 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 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 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 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 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 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 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 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 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 1 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 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 1 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 1 0 0 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 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 0 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 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 0 0 0 0 0 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 1 0 1 1 0 1 1 1 0 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 1 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 1 0 1 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 1 0 0 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 0 0 0 1 1 1 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 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 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 1 0 1 1 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 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 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 0 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 1 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 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 1 0 1 1 1 1 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 0 0 0 1 1 0 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 0 0 0 0 1 0 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 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 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 0 0 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 1 0 0 1 0 0 1 1 0 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 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 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 0 1 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 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 0 0 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 0 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 1 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 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 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 1 0 1 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 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 0 1 1 0 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 1 1 1 0 1 1 0 1 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 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 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 0 0 0 1 0 1 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 1 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 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 0 0 0 0 0 0 0 0 1 0 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 0 1 0 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 1 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 0 1 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 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 0 1 0 1 1 0 0 1 0 1 0 0 1 0 0 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 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 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 0 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 0 1 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 0 0 1 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 0 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 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 0 0 0 0 1 0 0 1 1 0 1 1 1 0 0 0 0 0 1 0 1 0 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 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 1 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 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 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 1 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 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 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 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 1 1 0 0 1 0 0 0 1 0 0 0 1 0 0 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 0 0 1 1 0 0 1 1 0 1 0 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 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 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 0 0 1 0 0 0 0 0 1 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 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 1 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 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 1 0 0 0 0 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 0 0 0 0 1 1 1 0 1 0 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 0 1 1 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 0 0 1 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 1 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 1 1 1 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 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 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 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 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 0 0 1 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 0 0 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 1 0 0 0 0 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 1 1 0 1 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 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 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 0 0 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 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 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 1 0 0 0 0 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 0 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 1 1 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 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 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 1 0 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 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 1 1 0 1 0 0 1 0 1 1 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 [[137,76]]2

Construction

Notes

Bounds on [[137,76]]₂
