Minimum Cost Path with Edge Reversals | Dijkstra / 0‑1 BFS Graph | LeetCode POTD 27 Jan 2026

LeetCode POTD (27th Jan 2026)

Educational Insight -
The "Minimum Cost Path with Edge Reversals" problem converts a direction‑reversal constraint into a weighted graph where each forward and reverse motion has an explicit cost, and then applies classic shortest‑path algorithms.
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This pattern—augment first, then run Dijkstra—is powerful for many constrained path problems involving toggles, penalties, or state changes.
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Key Implementation Details

Represent each given directed edge with its normal weight plus a reverse edge carrying the reversal cost.
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Store neighbors in adjacency lists and use a min‑heap priority queue for Dijkstra.
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Initialize distance array with ∞, set dist[src] = 0, and relax edges in increasing distance order.
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Return the shortest distance to the target node, or report if unreachable.
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