Medium
Shortest Path with Alternating Colors — C++
Full explanation · Time O(n + e) · Space O(n + e)
// Time: O(n + e), e is the number of red and blue edges
// Space: O(n + e)
class Solution {
public:
vector<int> shortestAlternatingPaths(int n, vector<vector<int>>& red_edges, vector<vector<int>>& blue_edges) {
vector<vector<unordered_set<int>>> neighbors(n, vector<unordered_set<int>>(2));
for (const auto& edge : red_edges) {
neighbors[edge[0]][0].emplace(edge[1]);
}
for (const auto& edge : blue_edges) {
neighbors[edge[0]][1].emplace(edge[1]);
}
const auto& INF = max(2 * n - 3, 0) + 1;
vector<vector<int>> dist(n, vector<int>(2, INF));
dist[0] = {0, 0};
queue<pair<int, int>> q({{0, 0}, {0, 1}});
while (!q.empty()) {
int i, c;
tie(i, c) = q.front(); q.pop();
for (const auto& j : neighbors[i][c]) {
if (dist[j][c] != INF) {
continue;
}
dist[j][c] = dist[i][1 ^ c] + 1;
q.emplace(j, 1 ^ c);
}
}
vector<int> result;
for (const auto& d : dist) {
const auto& x = *min_element(d.cbegin(), d.cend());
result.emplace_back((x != INF) ? x : -1);
}
return result;
}
};