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| Approach | Guarantee | Scalability | Type | |----------|-----------|-------------|------| | Exact (branch & bound) | 100% | Exponential | Deterministic | | Goemans–Williamson (SDP) | 87.856% | (O(n^3.5)) | Randomized | | Greedy local | None (empirical ~70-80%) | Near-linear | Heuristic | | QAOA (quantum) | Problem-dependent | Polynomial (circuit depth) | Hybrid | : Look for open-source or free software alternatives