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Prim's Algorithm — MST via Min-Heap Greedy Expansion
Build the minimum spanning tree using Prim's algorithm: start from any vertex, greedily expand by always adding the minimum-weight crossing edge using a min-heap.
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Build the minimum spanning tree using Prim's algorithm: start from any vertex, greedily expand by always adding the minimum-weight crossing edge using a min-heap.
Connect all n points with minimum total Manhattan distance cost. Models the problem as a complete graph MST and applies optimised Prim's without building all O(n²) edges explicitly.