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"array": "cpp", | ||
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Leetcode Daily Challenge/February-2021/14. Is Graph Bipartite.cpp
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/* | ||
Is Graph Bipartite? | ||
=================== | ||
Given an undirected graph, return true if and only if it is bipartite. | ||
Recall that a graph is bipartite if we can split its set of nodes into two independent subsets A and B, such that every edge in the graph has one node in A and another node in B. | ||
The graph is given in the following form: graph[i] is a list of indexes j for which the edge between nodes i and j exists. Each node is an integer between 0 and graph.length - 1. There are no self edges or parallel edges: graph[i] does not contain i, and it doesn't contain any element twice. | ||
Example 1: | ||
Input: graph = [[1,3],[0,2],[1,3],[0,2]] | ||
Output: true | ||
Explanation: We can divide the vertices into two groups: {0, 2} and {1, 3}. | ||
Example 2: | ||
Input: graph = [[1,2,3],[0,2],[0,1,3],[0,2]] | ||
Output: false | ||
Explanation: We cannot find a way to divide the set of nodes into two independent subsets. | ||
Constraints: | ||
1 <= graph.length <= 100 | ||
0 <= graph[i].length < 100 | ||
0 <= graph[i][j] <= graph.length - 1 | ||
graph[i][j] != i | ||
All the values of graph[i] are unique. | ||
The graph is guaranteed to be undirected. | ||
*/ | ||
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class Solution | ||
{ | ||
public: | ||
bool bfs(int curr, vector<vector<int>> &graph, vector<int> &color) | ||
{ | ||
queue<int> pending; | ||
pending.push(curr); | ||
color[curr] = 1; | ||
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while (pending.size()) | ||
{ | ||
auto curr = pending.front(); | ||
pending.pop(); | ||
for (auto &i : graph[curr]) | ||
{ | ||
if (color[i] != -1 && color[i] != 1 - color[curr]) | ||
return false; | ||
else if (color[i] == -1) | ||
{ | ||
color[i] = 1 - color[curr]; | ||
pending.push(i); | ||
} | ||
} | ||
} | ||
return true; | ||
} | ||
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bool isBipartite(vector<vector<int>> &graph) | ||
{ | ||
int n = graph.size(); | ||
vector<int> color(n, -1); | ||
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for (int i = 0; i < n; ++i) | ||
{ | ||
if (color[i] == -1) | ||
{ | ||
if (!bfs(i, graph, color)) | ||
return false; | ||
}; | ||
} | ||
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return true; | ||
} | ||
}; |
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