Bounds on the minimum distance of additive quantum codes

Bounds on [[234,192]]₂

lower bound:	6
upper bound:	11
Construction

Construction of a [[234,192,6]] quantum code:
[1]:  [[256, 230, 6]] quantum code over GF(2^2)
     Extended BCH code with parameters 255 5
[2]:  [[234, 208, 6]] quantum code over GF(2^2)
     Shortening of [1] at { 9, 14, 25, 89, 172, 174, 177, 196, 201, 206, 210, 212, 214, 216, 223, 224, 237, 245, 247, 251, 255, 256 }
[3]:  [[234, 192, 6]] 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 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 1 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 1 1 0 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 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 1 0 1 0 0 0 0 1 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 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 1 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 1 1 0 1 1 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 1 0 0 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 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0 1 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 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 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 0 1 1 1 0 0 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 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 0 0 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 1 1 1 1 1 0 0 1 0 1 0 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 1 1 0 0 1 1 1 1 0 0 1 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 1 0 0 1 0 0 1 1 1 1 1 0 1 0 1 0 0 1 1 1 1 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 1 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 0 1 0]
      [0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 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 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 1 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 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 0 0 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 0 0 1 1 1 0 0 1|0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 1 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 1 1 1 1 0 0 0 1 0 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 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 1 0 1 1 1 0 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 1 0 1 1 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 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 1 0 0 1 1 1 0 1 0 0 1 1 0 1 1 1 0 1 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 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 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 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 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 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 1 1 0 0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 0 1 0 1 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 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 1 0 1 1 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 1 1 1 1 1 0 0 1 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 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 1 1 1 0 0 0 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 1 0 0 1 0 1 0 0 1 1 1 0 0 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 1]
      [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 0 0 0 0 1 0 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 0 1 0 1 1 0 0 1 1 1 1 0 1 0 1 1 1 1 1 0 0 1 0 1 0 0 1 1 1 1 0 0 1 1 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 0 1 0 0 0 0 1 1 0 0 1 1 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 0 1 1 0 0 0 0 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 1 1 1 1 0 1 1 0 1 1 1 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 0 0 0 0 0 0 1 0 1 0 1 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 1 0 0 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 0 1 0 1 0 1 0 0 1 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 1 1 1 0 0 1 0 1 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 0 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 1 0 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 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 0 0 0 1 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 1 1 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 1 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 1 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 1 0 0|0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 1 0 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 1 0 0 0 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 1 0 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 1 1 0 0 1 1 1 0 0 0 1 0 0 1 1 0 1 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 1 0 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 1 0 0 1 1 0 0 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 0 1 1 1 1 1 0 0 0 1 1 1 1 1 1 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 0 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 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 0 0 0 0 1 0 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 1 0 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 0 0 0 0 0 0 1 1 0 0 1 1 1 1 0 0 1 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 0 1 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 1 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 0 0 1 0 0 1 1 1 1 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 0 0 0 1 1 0 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 1 1 1 0 0 1 1 1 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 1 1 1 1 0 0 1 1 1 0 1 1 0 1 0 1 0 1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 1 0 1 1 1 0 0 1 0 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 1 0 1 0 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 1 0 0 1 1 0 0 0 0 0 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 1 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 0 1 0 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 1 1 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 1 1 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 1 1 0|0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 1 1 1 1 1 0 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 1 1 1 0 0 1 1 0 1 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 0 1 0 0 1 1 0 0 0 1 1 1 0 0 1 0 0 1 1 1 0 0 1 0 0 1 1 1 0 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 1 0 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 1 1 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 1 0 1 1 1 0 0 0 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 0 0 1 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 1 0 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 0 1 0 1 0 0 0 1 0 1 0 1 1 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 1 1 1 0 1 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 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 0 1 1 0 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 0 1 1 0 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 0 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 0 1 0 0 0 0 1 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 1 0 1 1 1 1 0 0 0 1 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 1 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 1 0 0 1 1 1 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 1 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 0 0 1 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 0 0 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 1 0 0 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 0 0 1 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 1 1 1 0 1 1 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 1 0 1 0 1 0 1 0 1 1 0 0 1 0 1 0 0 0 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 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 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 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 1 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 1 0 1 0 1 0 1 0 0 1 1 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 0 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 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 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 1 1 0 0 0 0 1 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 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 0 1 0 0 1 0 1 1 0 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 0 0 1 0 1 1 0 0 1 0 1 1 1 1 1 1 0 0 1 0 0 1 0 0 1 0 0 0 0 1 1 0 0 0 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 1 0 1 0 1 0 0 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 1 1 0 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 1 0 0 0 1 1 1 1 1 0 1 1 0 1 0 0 0 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 1 0 0 1 0 1 1 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 0 1 1 0 0 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 1 1 0 1 0 1 1 1 1 1 0 1 1 0 1 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 0 0 1 1 0 0 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 0 1 0 0 0 0 1 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 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 1 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 0 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 0 0 1 0 1 1 0 1 0 1 1 1 0 0 1 0 1 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 1 1 1 1 1 0 0 1 0 0 0 1 1 0 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 1 0 0 1 0 1 0 1 1 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1 1 0 0 0 1 0 1 0 0 0 1 1 1 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 0 0 0 1 1 0 0 0 0 0 1 1 1 1 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 0 1 1 0 1 1 0 1 0 0 1 0 1 0 0 1 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 0 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 0 1 0 1 0 1 1 0 1 1 1 0 1 1 1 1 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 0 0 1 0 0 0 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 1 0 0 1 0 1 1 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 1 1 1 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 0 0 1 0 1 1 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 0 0 1 0 1 0 1 0 0 0 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 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 1 0 0 0 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 1 0 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 0 1 0 0 0 1 0 0 0 0 0 1 1 1 0 0 1 0 1 1 1 1 0 1 0 1 0 0 0 0 1 0 1 1 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 0 1 0 1 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 1 1 1 1 1 1 0 0 0 1 1 0 1 0 1 1 0 1 0 0 1 1 1 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 1 0 0 0 1 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 1 0 0 1 1 1 0 1 0 0 1 0 0 0 1 1 1 1 1 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 0 0 0 1 0 1 0 1 0 0 0 0 1 0 1 1 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 0 1 0 1 1 1 0 1 0 1 1 1 1 0 0 0 1 1 1 1 1 0 1 0 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 1 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 0 0 0 1 1 0 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 1 0 1 1 0 1 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 1 1 0 0 0 1 1 1 0 1 0 1 1 1 1 1 0 0 1 1 1 0 0 0 1 0 1 0 0 0 1 0 1 1 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 1 1 0 1 1 0 0 0 0 1 0 1 1 0 0 1 0 1 0 0 1 0 1 0 1 1 0 1 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 0 0 1 1 1 0 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 1 1|0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 1 0 1 0 1 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 1 1 0 1 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 1 0 1 0 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 1 0 1 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 0 0 1 1 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1 0 0|0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 0 0 1 1 0 1 0 1 0 0 1]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0]
      [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 1 0 0 0 0 1 1 1 1 0 0 1 0 0 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 [[234,192]]2

Construction

Notes

Bounds on [[234,192]]₂
