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  • Bomb---hdu5934(连通图 缩点)

    题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=5934

    题意:有n个炸弹,每个炸弹放在(x, y)这个位置,它能炸的范围是以 r 为半径的圆,手动引爆这颗炸弹所需代价是c,当一个炸弹爆炸时,

    在它爆炸范围内的所有炸弹都将被它引爆,让求把所有的炸弹都引爆,所需的最少代价是多少?

    建立单向图,然后缩点,每个点的权值都为它所在联通块的权值的小的那个,然后找到所有入度为0的点,将他们的权值加起来就是结果;

    #include <stdio.h>
    #include <string.h>
    #include <algorithm>
    #include <vector>
    using namespace std;
    #define met(a, b) memset(a, b, sizeof(a))
    typedef long long LL;
    const int N = 1100;
    const int INF = 0x3f3f3f3f;
    const double eps = 1e-10;
    
    struct node
    {
        LL x, y, r;
    }a[N];
    
    int n, w[N], Min[N], dfn[N], low[N], vis[N];
    int Block[N], nBlock, Stack[N], Top, Time, degree[N];
    vector<int> G[N];
    
    void Init()
    {
        for(int i=0; i<=n; i++)
            G[i].clear();
        met(Min, INF);///Min[i]表示缩点之后的每个联通块的最小代价;
        met(degree, 0);///记录缩点之后的入度;
        met(dfn, 0);
        met(low, 0);
        met(Stack, 0);
        met(vis, 0);
        met(Block, 0);
        nBlock = Top = Time = 0;
    }
    
    void Tajar(int u)
    {
        low[u] = dfn[u] = ++Time;
        Stack[Top++] = u;
        vis[u] = 1;
        int v;
        for(int i=0, len=G[u].size(); i<len; i++)
        {
            v = G[u][i];
            if(!dfn[v])
            {
                Tajar(v);
                low[u] = min(low[u], low[v]);
            }
            else if(vis[v])
                low[u] = min(low[u], dfn[v]);
        }
    
        if(low[u] == dfn[u])
        {
            ++ nBlock;
            do
            {
                v = Stack[--Top];
                Block[v] = nBlock;
                vis[v] = 0;
            }while(u!=v);
        }
    }
    
    
    int main()
    {
        int T, t = 1;
        scanf("%d", &T);
        while(T --)
        {
            scanf("%d", &n);
    
            Init();
    
            for(int i=1; i<=n; i++)
                scanf("%I64d %I64d %I64d %d", &a[i].x, &a[i].y, &a[i].r, &w[i]);
    
            for(int i=1; i<=n; i++)///建图
            {
                for(int j=1; j<=n; j++)
                {
                    LL d = (a[i].x-a[j].x)*(a[i].x-a[j].x)+(a[i].y-a[j].y)*(a[i].y-a[j].y);
                    if(a[i].r*a[i].r >= d)
                        G[i].push_back(j);
                }
            }
    
            for(int i=1; i<=n; i++)///缩点;
            {
                if(!dfn[i])
                    Tajar(i);
            }
    
            for(int i=1; i<=n; i++)
            {
                for(int j=0,len=G[i].size(); j<len; j++)
                {
                    int x = G[i][j];
                    int u = Block[i], v = Block[x];
                    if(u != v) degree[v] ++;
                    Min[u] = min(Min[u], w[i]);
                    Min[v] = min(Min[v], w[x]);
                }
            }
    
            int ans = 0;
            for(int i=1; i<=nBlock; i++)
            {
                if(degree[i] == 0)
                    ans += Min[i];
            }
            printf("Case #%d: %d
    ", t++, ans);
        }
        return 0;
    }
    View Code
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  • 原文地址:https://www.cnblogs.com/zhengguiping--9876/p/6011415.html
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