There is an undirected star graph consisting of n nodes labeled from 1 to n. A star graph is a graph where there is one center node and exactly n - 1 edges that connect the center node with every other node.
You are given a 2D integer array edges where each edges[i] = [ui, vi] indicates that there is an edge between the nodes ui and vi. Return the center of the given star graph.
Example 1:
Input: edges = [[1,2],[2,3],[4,2]]
Output: 2
Explanation: As shown in the figure above, node 2 is connected to every other node, so 2 is the center.
Example 2:
Input: edges = [[1,2],[5,1],[1,3],[1,4]]
Output: 1
Constraints:
3 <= n <= 105
edges.length == n - 1
edges[i].length == 2
1 <= ui, vi <= n
ui != vi
The given edges represent a valid star graph.
这题主要找规律,只要有一个数字出现两次必定是中心节点。时间复杂度最低的算法应该是直接4个if-else,这里就不这样写了
class Solution {
public:
int findCenter(vector<vector<int>>& edges) {
std::set<int> nodes;
for (size_t i = 0; i < 2; i++) {
for (auto v : edges[i]) {
if (nodes.count(v) != 0) {
return v;
}
nodes.insert(v);
}
}
return -1;
}
};