![[Swift]LeetCode261.图验证树 $ Graph Valid Tree,第1张 [Swift]LeetCode261.图验证树 $ Graph Valid Tree,第1张](/aiimages/%5BSwift%5DLeetCode261.%E5%9B%BE%E9%AA%8C%E8%AF%81%E6%A0%91+%24+Graph+Valid+Tree.png)
Given n nodes labeled from 0 to n - 1 and a List of undirected edges (each edge is a pair of nodes),write a function to check whether these edges make up a valID tree.
For example:
Given n = 5 and edges = [[0,1],[0,2],3],[1,4]],return true.
Given n = 5 and edges = [[0,[2,return false.
Hint:
Givenn = 5 and edges = [[0,[3,what should your return? Is this case a valID tree? According to the definition of tree on Wikipedia: “a tree is an undirected graph in which any two vertices are connected by exactly one path. In other words,any connected graph without simple cycles is a tree.” Note: you can assume that no duplicate edges will appear in edges. Since all edges are undirected, [0,1] is the same as [1,0] and thus will not appear together in edges.
给定n个标记为0到n-1的节点和一个无向边列表(每个边都是一对节点),编写一个函数来检查这些边是否构成有效的树。
例如:
如果n=5且边数为[[0,1],[0,2],[0,3],[1,4]],则返回true。
如果n=5且边数为[[0,1],[1,2],[2,3],[1,3],[1,4]],则返回false。
提示:
考虑到n=5和edges=[[0,1],[1,2],[3,4]],你应该返回什么?这是一个有效的树吗?
根据维基百科上树的定义:“树是一个无向图,其中任何两个顶点都由一条路径连接。换句话说,任何没有简单循环的连通图都是一棵树。”
注意:可以假定边中不会出现重复的边。因为所有边都是无向的,[0,1]与[1,0]相同,因此不会在边中一起出现。
BFS
1 class Solution { 2 func valIDTree(_ n:Int,_ edges:[[Int]]) -> Bool{ 3 var g:[Set<Int>] = [Set<Int>](repeating:Set<Int>(),count:n) 4 var s:Set<Int> = [0] 5 var q:[Int] = [0] 6 for a in edges 7 { 8 g[a[0]].insert(a[1]); 9 g[a[1]].insert(a[0]);10 }11 while(!q.isEmpty)12 {13 var t:Int = q.first!14 q.removeFirst()15 for a in g[t]16 {17 if s.contains(a)18 {19 return false20 }21 s.insert(a)22 q.append(a)23 g[a].remove(t)24 }25 }26 return s.count == n27 }28 }
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