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  • Edge Deletion CodeForces

     题意:

      设从1到每个点的最短距离为d,求删除几条边后仍然使1到每个点的距离为d,使得剩下的边最多为k

    解析:

      先求来一遍spfa,然后bfs遍历每条路,如果d[v] == d[u] + Node[i].w 则说明这条路要保留

      注意是按着走的路的顺序输出的 wa1

      注意最大值设为0x3f  wa3  学到了。。。emm 用memset设置数组为0x3f是无穷大

    #include <iostream>
    #include <cstdio>
    #include <sstream>
    #include <cstring>
    #include <map>
    #include <cctype>
    #include <set>
    #include <vector>
    #include <stack>
    #include <queue>
    #include <algorithm>
    #include <cmath>
    #include <bitset>
    #include <limits.h>
    #define rap(i, a, n) for(int i=a; i<=n; i++)
    #define rep(i, a, n) for(int i=a; i<n; i++)
    #define lap(i, a, n) for(int i=n; i>=a; i--)
    #define lep(i, a, n) for(int i=n; i>a; i--)
    #define rd(a) scanf("%d", &a)
    #define rlld(a) scanf("%lld", &a)
    #define rc(a) scanf("%c", &a)
    #define rs(a) scanf("%s", a)
    #define rb(a) scanf("%lf", &a)
    #define rf(a) scanf("%f", &a)
    #define pd(a) printf("%d
    ", a)
    #define plld(a) printf("%lld
    ", a)
    #define pc(a) printf("%c
    ", a)
    #define ps(a) printf("%s
    ", a)
    #define MOD 2018
    #define LL long long
    #define ULL unsigned long long
    #define Pair pair<int, int>
    #define mem(a, b) memset(a, b, sizeof(a))
    #define _  ios_base::sync_with_stdio(0),cin.tie(0)
    //freopen("1.txt", "r", stdin);
    using namespace std;
    const int maxn = 2222222, INF = 0x7fffffff;
    
    int head[maxn], vis[maxn], nex[maxn];
    LL d[maxn];
    int cnt, n, m, s, t, k;
    vector<int> g;
    
    struct node
    {
        int u, v;
        LL w;
    }Node[maxn];
    
    void add_(int u, int v, int w)
    {
        Node[cnt].u = u;
        Node[cnt].v = v;
        Node[cnt].w = w;
        nex[cnt] = head[u];
        head[u] = cnt++;
    }
    
    void add(int u, int v, int w)
    {
        add_(u, v, w);
        add_(v, u, w);
    }
    
    int spfa()
    {
        mem(d, 0x3f);
        deque<int> Q;
        Q.push_front(s);
        d[s] = 0;
        vis[s] = 1;
        while(!Q.empty())
        {
            int u = Q.front(); Q.pop_front();
            vis[u] = 0;
            for(int i = head[u]; i != -1; i = nex[i])
            {
                int v = Node[i].v;
                if(d[v] > d[u] + Node[i].w)
                {
                    d[v] = d[u] + Node[i].w;
                    if(!vis[v])
                    {
                        if(Q.empty()) Q.push_front(v);
                        else
                        {
                            if(d[v] < d[Q.front()]) Q.push_front(v);
                            else Q.push_back(v);
                        }
                        vis[v] = 1;
                    }
                }
            }
        }
    }
    
    void init()
    {
        mem(head, -1);
        g.clear();
        cnt = 0;
    }
    
    void bfs()
    {
        queue<int> Q;
        Q.push(1);
        mem(vis, 0);
        vis[1] = 1;
        int cnt1 = 0;
        while(!Q.empty())
        {
            int u = Q.front(); Q.pop();
            for(int i = head[u]; i != -1; i = nex[i])
            {
                int v = Node[i].v;
                if(d[v] == d[u] + Node[i].w)
                {
                    if(!vis[v])
                    {
                        g.push_back((i + 2) / 2);
                        vis[v] = 1;
                        Q.push(v);
                        if(++cnt1 == k) return;
                    }
                }
            }
        }
    }
    
    int main()
    {
         //   cout << 0x3f <<endl;
        init();
        int ans = 0;
        int u, v, w;
        cin >> n >> m >> k;
        for(int i = 0; i < m; i++)
        {
            cin >> u >> v >> w;
            add(u, v, w);
        }
        if(k == 0)
            return puts("0");
        s = 1;
        spfa();
        bfs();
    
        cout << g.size() << endl;
        for(int i = 0; i < g.size(); i++)
            cout << g[i] << " ";
        cout << endl;
    
    
    
        return 0;
    }

      

    自己选择的路,跪着也要走完。朋友们,虽然这个世界日益浮躁起来,只要能够为了当时纯粹的梦想和感动坚持努力下去,不管其它人怎么样,我们也能够保持自己的本色走下去。
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  • 原文地址:https://www.cnblogs.com/WTSRUVF/p/9954585.html
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