Shortest Path with Alternating Colors
Difficulty: Medium
Category: DSA
Topics: Breadth-first Search, Graph
Asked at: Amazon
Consider a directed graph, with nodes labelled `0, 1, ..., n-1`. In this graph, each edge is either red or blue, and there could be self-edges or parallel edges.
Each `[i, j]` in `red_edges` denotes a red directed edge from node `i` to node `j`. Similarly, each `[i, j]` in `blue_edges` denotes a blue directed edge from node `i` to node `j`.
Return an array `answer` of length `n`, where each `answer[X]` is the length of the shortest path from node `0` to node `X` such that the edge colors alternate along the path (or `-1` if such a path doesn't exist).
Example 1:
Input: n = 3, red_edges = [[0,1],[1,2]], blue_edges = []
Output: [0,1,-1]
Example 2:
Input: n = 3, red_edges = [[0,1]], blue_edges = [[2,1]]
Output: [0,1,-1]
Example 3:
Input: n = 3, red_edges = [[1,0]], blue_edges = [[2,1]]
Output: [0,-1,-1]
Example 4:
Input: n = 3, red_edges = [[0,1]], blue_edges = [[1,2]]
Output: [0,1,2]
Example 5:
Input: n = 3, red_edges = [[0,1],[0,2]], blue_edges = [[1,0]]
Output: [0,1,1]
Constraints:
`1 <= n <= 100`
`red_edges.length <= 400`
`blue_edges.length <= 400`
`red_edges[i].length == blue_edges[i].length == 2`
`0 <= red_edges[i][j], blue_edges[i][j] < n`