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  • UVAlive6800The Mountain of Gold?(负环)

    题意

    题目链接

    问从(0)出发能否回到(0)且边权为负

    Sol

    先用某B姓算法找到负环,再判一下负环上的点能否到(0)

    #include<bits/stdc++.h>
    #define chmax(x, y) (x = (x > y ? x : y))
    #define chmin(x, y) (x = (x < y ? x : y))
    #define Pair pair<int, int>
    #define MP make_pair
    #define fi first
    #define se second 
    using namespace std;
    const int MAXN = 2e6 + 10, INF = 1e9 + 10;
    inline int read() {
        char c = getchar(); int x = 0, f = 1;
        while(c < '0' || c > '9') {if(c == '-') f = -1; c = getchar();}
        while(c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar();
        return x * f;
    }
    int N, M, num, dis[MAXN], vis[MAXN], gg[MAXN];
    struct Edge {
        int u, v, w;
    }E[MAXN];
    vector<int> v[MAXN];
    void AddEdge(int x, int y, int z) {
        v[x].push_back(y);
        E[++num] = (Edge) {x, y, z};
    }
    bool dfs(int x) {
    //  printf("%d
    ", x);
        gg[x] = 1;
        if(vis[x] != -1) return vis[x];
        if(x == 1) return vis[x] = 1;
        
        bool flag = 0;
        for(int i = 0; i < v[x].size(); i++) {
            int to = v[x][i];
            if(!gg[to] && dfs(to)) {flag = 1; break;}
        }
        return vis[x] = flag;
    }
    bool SPFA() {
        dis[1] = 0;
        for(int i = 1; i < N; i++)
            for(int j = 1; j <= M; j++)
                chmin(dis[E[j].v], dis[E[j].u] + E[j].w);
        for(int i = 1; i <= M; i++) {
            int x = E[i].u, y = E[i].v;
            if((dis[y] > dis[x] + E[i].w) && dfs(y)) return 1;
        }
        return 0;
    }
    void init() {
        for(int i = 1; i <= N; i++) v[i].clear();
        memset(vis, -1, sizeof(vis));
        memset(dis, 0x3f, sizeof(dis));
        memset(gg, 0, sizeof(gg));
        num = 0;
    }
    void solve(int Case) {
        N = read(); M = read();
        init();
        for(int i = 1; i <= M; i++) {
            int x = read() + 1, y = read() + 1, z = read();
            AddEdge(x, y, z);
        } 
        printf("Case #%d: ", Case); puts(SPFA() ? "possible" : "not possible");
    }
    int main() {
        //freopen("a.in", "r", stdin);
        for(int T = read(), i = 1; i <= T; solve(i++));
        return 0;
    }
    
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  • 原文地址:https://www.cnblogs.com/zwfymqz/p/10197241.html
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