diff --git a/problems/0684.冗余连接.md b/problems/0684.冗余连接.md index c9eb33c4..bfbdeba9 100644 --- a/problems/0684.冗余连接.md +++ b/problems/0684.冗余连接.md @@ -10,6 +10,9 @@ # 684.冗余连接 + +[力扣题目链接](https://leetcode-cn.com/problems/redundant-connection/) + 树可以看成是一个连通且 无环 的 无向 图。 给定往一棵 n 个节点 (节点值 1~n) 的树中添加一条边后的图。添加的边的两个顶点包含在 1 到 n 中间,且这条附加的边不属于树中已存在的边。图的信息记录于长度为 n 的二维数组 edges ,edges[i] = [ai, bi] 表示图中在 ai 和 bi 之间存在一条边。 @@ -140,16 +143,161 @@ public: ## Java ```java +class Solution { + private int n; // 节点数量3 到 1000 + private int[] father; + public Solution() { + n = 1005; + father = new int[n]; + + // 并查集初始化 + for (int i = 0; i < n; ++i) { + father[i] = i; + } + } + + // 并查集里寻根的过程 + private int find(int u) { + if(u == father[u]) { + return u; + } + father[u] = find(father[u]); + return father[u]; + } + + // 将v->u 这条边加入并查集 + private void join(int u, int v) { + u = find(u); + v = find(v); + if (u == v) return ; + father[v] = u; + } + + // 判断 u 和 v是否找到同一个根,本题用不上 + private Boolean same(int u, int v) { + u = find(u); + v = find(v); + return u == v; + } + + public int[] findRedundantConnection(int[][] edges) { + for (int i = 0; i < edges.length; i++) { + if (same(edges[i][0], edges[i][1])) { + return edges[i]; + } else { + join(edges[i][0], edges[i][1]); + } + } + return null; + } +} ``` ## Python ```python + +class Solution: + + def __init__(self): + """ + 初始化 + """ + self.n = 1005 + self.father = [i for i in range(self.n)] + + + def find(self, u): + """ + 并查集里寻根的过程 + """ + if u == self.father[u]: + return u + self.father[u] = self.find(self.father[u]) + return self.father[u] + + def join(self, u, v): + """ + 将v->u 这条边加入并查集 + """ + u = self.find(u) + v = self.find(v) + if u == v : return + self.father[v] = u + pass + + + def same(self, u, v ): + """ + 判断 u 和 v是否找到同一个根,本题用不上 + """ + u = self.find(u) + v = self.find(v) + return u == v + + def findRedundantConnection(self, edges: List[List[int]]) -> List[int]: + for i in range(len(edges)): + if self.same(edges[i][0], edges[i][1]) : + return edges[i] + else : + self.join(edges[i][0], edges[i][1]) + return [] ``` ## Go ```go + +// 全局变量 +var ( + n = 1005 // 节点数量3 到 1000 + father = make([]int, 1005) +) + +// 并查集初始化 +func initialize() { + for i := 0; i < n; i++ { + father[i] = i + } +} + +// 并查集里寻根的过程 +func find(u int) int { + if u == father[u] { + return u + } + father[u] = find(father[u]) + return father[u] +} + +// 将v->u 这条边加入并查集 +func join(u, v int) { + u = find(u) + v = find(v) + if u == v { + return + } + father[v] = u +} + +// 判断 u 和 v是否找到同一个根,本题用不上 +func same(u, v int) bool { + u = find(u) + v = find(v) + return u == v +} + +func findRedundantConnection(edges [][]int) []int { + initialize() + for i := 0; i < len(edges); i++ { + if same(edges[i][0], edges[i][1]) { + return edges[i] + } else { + join(edges[i][0], edges[i][1]) + } + } + return []int{} +} ``` ## JavaScript