NC105905 Is It A Tree?
Is It A Tree?
https://ac.nowcoder.com/acm/problem/105905
Is It A Tree?
题目地址:
基本思路:
并查集维护生成树的过程,每次加边时判断一下是不是会产生环,
然后用存一下出现了的节点,最后判断一下这些出现了的节点是不是在一个联通块里面就行了。
注意空树的情况这时它也是树。
参考代码:
#include <iostream> #include <string> #include <list> #include <map> #include <set> using namespace std; #define IO std::ios::sync_with_stdio(false); cin.tie(0) #define ll long long #define SZ(x) ((int)(x).size()) #define all(x) (x).begin(), (x).end() #define rep(i, l, r) for (int i = l; i <= r; i++) #define per(i, l, r) for (int i = l; i >= r; i--) #define mset(s, _) memset(s, _, sizeof(s)) #define pb push_back #define pii pair <int, int> #define mp(a, b) make_pair(a, b) #define INF 0x3f3f3f3f const int maxn = 1e5 + 10; int a,b,par[maxn]; set< int > st; bool ok = true; void init(){ rep(i,0,maxn - 1) par[i] = i; } int find(int x){ return par[x] == x ? x : par[x] = find(par[x]); } int main() { IO; init(); ok = true; int cas = 1; while (cin >> a >> b) { if (a == -1 && b == -1) break; if(a == 0 && b == 0) { set<int> tmp; for(set<int>::iterator it = st.begin() ; it != st.end() ; it++ ) tmp.insert(find(*it)); if((ok && tmp.size() == 1) || st.empty()) cout << "Case " << cas++ << " is a tree." << '\n'; else cout << "Case " << cas++ << " is not a tree." << '\n'; init(); ok = true; st.clear(); continue; } if(find(a) == find(b)) ok = false; else{ par[find(a)] = find(b); } st.insert(a); st.insert(b); } return 0; }