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https://leetcode.com/problems/minimum-number-of-vertices-to-reach-all-nodes/description/
1557. Minimum Number of Vertices to Reach All Nodes
找出最小的集合數量,需要滿足從每個集合的其中一個點出發,走過每個集合後可以到
達所有的節點。
Example 1:
https://assets.leetcode.com/uploads/2020/07/07/untitled22.png

Input: n = 6, edges = [[0,1],[0,2],[2,5],[3,4],[4,2]]
Output: [0,3]
Explanation: It's not possible to reach all the nodes from a single vertex.
From 0 we can reach [0,1,2,5]. From 3 we can reach [3,4,2,5]. So we output
[0,3].
Example 2:
https://assets.leetcode.com/uploads/2020/07/07/untitled.png

Input: n = 5, edges = [[0,1],[2,1],[3,1],[1,4],[2,4]]
Output: [0,2,3]
Explanation: Notice that vertices 0, 3 and 2 are not reachable from any other
node, so we must include them. Also any of these vertices can reach nodes 1
and 4.
思路:
1.建立無向圖
2.用dfs + 併查集把每個節點分組
3.把每個節點的root都放進Set
4.返回Set裡面的編號
Java Code:
----------------------------------------------
class Solution {
public List<Integer> findSmallestSetOfVertices(int n, List<List<Integer>>
edges) {
int[] root = new int[n];
List<List<Integer>> graph = new ArrayList<>();
for (int i = 0; i < n; i++) {
root[i] = i;
graph.add(new ArrayList<>());
}
for (List<Integer> edge : edges) {
graph.get(edge.get(0)).add(edge.get(1));
}
boolean[] visited = new boolean[n];
for (int i = 0; i < n; i++) {
dfs(graph, visited, root, i);
}
Set<Integer> set = new HashSet<>();
for (int x : root) {
set.add(find(root, x));
}
return new ArrayList<>(set);
}
private void dfs(List<List<Integer>> graph, boolean[] visited, int[]
root, int i) {
if (visited[i]) {
return;
}
visited[i] = true;
for (int next : graph.get(i)) {
root[next] = find(root, i);
dfs(graph, visited, root, next);
}
}
private int find(int[] root, int x) {
return root[x] == x ? x : (root[x] = find(root, root[x]));
}
}
----------------------------------------------
只贏過7.4% 我去漬鯊
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