Leetcode Problem 1548. The Most Similar Path in a Graph

1548. The Most Similar Path in a Graph

Leetcode Solutions

Dynamic Programming Approach for Minimum Edit Distance Path

  1. Initialize a 2D array dp of size k x n and a 2D array p of the same size, where k is the length of targetPath and n is the number of cities.
  2. Set dp[0][v] for each vertex v based on whether the name of v matches targetPath[0].
  3. For each i from 1 to k-1, iterate over all edges (u, v) and update dp[i][v] based on the minimum edit distance from dp[i-1][u] plus a potential mismatch if names[v] does not equal targetPath[i].
  4. Update p[i][v] with the vertex u that led to the minimum dp[i][v].
  5. Find the vertex v that minimizes dp[k-1][v] to identify the last vertex of the optimal path.
  6. Reconstruct the path by tracing back from p[k-1][v] to p[0][v] and reverse it to get the final answer.
  7. Return the reconstructed path.
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Backtracking with Memoization Approach for Minimum Edit Distance Path

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