# run_code: 45-7-6-5-5-1-6
# m=45 n=7 k=6 j=5 s=5 cover=1
# samples: [1, 2, 3, 4, 5, 6, 7]
# strategy: python_fallback[C result requested exact/ILP path]+L0+L1+L4-LNS+L5  optimal: False  UB=6  LB=4  gap=50.0%  elapsed_ms: 60015
# created_at: 2026-05-05 00:25:44
# total_groups: 6

  1. [1, 2, 3, 4, 5, 6]
  2. [1, 2, 3, 4, 5, 7]
  3. [1, 2, 3, 4, 6, 7]
  4. [1, 2, 3, 5, 6, 7]
  5. [1, 2, 4, 5, 6, 7]
  6. [1, 3, 4, 5, 6, 7]