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[2/11] 1129. Shortest Path with Alternating Colors

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You are given an integer n, the number of nodes in a directed graph where the nodes are labeled from 0 to n - 1. Each edge is red or blue in this graph, and there could be self-edges and parallel edges.

You are given two arrays redEdges and blueEdges where:

  • redEdges[i] = [ai, bi] indicates that there is a directed red edge from node ai to node bi in the graph, and
  • blueEdges[j] = [uj, vj] indicates that there is a directed blue edge from node uj to node vj in the graph.

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 does not exist.

 

Example 1:

Input: n = 3, redEdges = [[0,1],[1,2]], blueEdges = []
Output: [0,1,-1]

Example 2:

Input: n = 3, redEdges = [[0,1]], blueEdges = [[2,1]]
Output: [0,1,-1]

 

Constraints:

  • 1 <= n <= 100
  • 0 <= redEdges.length, blueEdges.length <= 400
  • redEdges[i].length == blueEdges[j].length == 2
  • 0 <= ai, bi, uj, vj < n
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from collections import defaultdict, deque
class Solution:
    def shortestAlternatingPaths(self, n: int, redEdges: List[List[int]], blueEdges: List[List[int]]) -> List[int]:

        blue = defaultdict(list)
        red = defaultdict(list)

        for v1, v2 in redEdges:
            red[v1].append(v2)
        for v1, v2 in blueEdges:
            blue[v1].append(v2)

        res = [-1]*n
        res[0] = 0

        queue = deque([(0,0,1), (0,0,-1)])
        visited = set()

        while queue:
            node, dis, color = queue.popleft()
            if res[node] == -1: res[node] = dis 
            visited.add((node,color))
            if color == 1:
                for nxt in red[node]:
                    if (nxt, color*-1) not in visited: queue.append((nxt,dis+1, color*-1))
            else:
                for nxt in blue[node]:
                    if (nxt, color*-1) not in visited: queue.append((nxt,dis+1, color*-1))
        
        return res
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