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Key Optimizations & Fixes
✅ Fixed Incorrect adj.resize(n + 1) → adj.resize(n) ✅ Used -1 for uninitialized ancestor values
✅ Avoided unnecessary calculations in dfs()
✅ Handled single-node cases (n == 1) properly
✅ Optimized lca() to avoid redundant checks
✅ Ensured efficient input/output with ios::sync_with_stdio(false)