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  • Cactus HDU

    原题链接

    #include <iostream>
    #include <vector>
    #include <cstring>
    #include <queue>
    
    
    using namespace std;
    const int N = 20009;
    const int M = 150000;
    int h[M], ne[M], to[M], idx;
    int dfn[N], low[N], times;
    int instk[N], stk[N], top;
    int sz[N], id[N], scc_cnt;
    void add(int u, int v) {ne[idx] = h[u], to[idx] = v, h[u] = idx++;}
    int f;
    void tarjan(int u) {
        dfn[u] = low[u] =  ++ times;
        stk[++top] = u;
        instk[u] = 1;
        int cnt = 0;
        for (int i = h[u]; i != -1; i = ne[i]) {
            int v = to[i];
    
            if (!dfn[v]) {
                tarjan(v);
                low[u] = min(low[u], low[v]);
            } else if (instk[v]) {
                low[u] = min(low[u], dfn[v]);
            }
            if (!instk[u])f = 1;//没有横插边,设想一下,一条边伸到了一个不在当前强连通分量的地方。
            if (low[v] > dfn[u]) {
                f = 1;//如果自己儿子的边回不来,那么必然就是一个桥,直接通向别处
            }
            if (dfn[v] < dfn[u]) cnt++;//首先是儿子的向上碰到自己祖先的数量
        }
        if (cnt > 1) {
            f = 1;
        }
        if (low[u] == dfn[u]) {
            scc_cnt++;
            int v = stk[top];
            do{
                v = stk[top];
                top--;
                instk[v] = 0;
                sz[scc_cnt] ++;
                id[v] = scc_cnt;
            } while (v != u);
        }
    }
    void solve() {
        times = top = idx = scc_cnt = f = 0;
        memset(h, -1, sizeof h);
        memset(dfn, 0, sizeof dfn);
        memset(sz, 0, sizeof sz);
        int n;cin >> n;
        int u, v;
        while (cin >> u >> v) {
            if( u == 0 && v == 0)break;
            add(u, v);
        }
        for (int i = 0; i < n; i ++) {
            if (!dfn[i])tarjan(i);
        }
        if (scc_cnt == 1 && !f) cout << "YES
    ";
        else cout << "NO
    ";
    }
    int main() {
        int t = 1;cin >> t;
        while (t--)solve();
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/Xiao-yan/p/14629510.html
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