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  • Heavy Transportation POJ

    题意

    给你n个点,1为起点,n为终点,要求所有1到n所有路径中每条路径上最小值的最最值。


    思路

    不想打最短路
    跑一边最大生成树,再扫一遍1到n的路径,取最小值即可,类似Frogger POJ - 2253,代码都没怎么改


    常数巨大的丑陋代码

    # include <stdio.h>
    # include <stdlib.h>
    # include <iostream>
    # include <string.h>
    # include <math.h>
    # include <algorithm>
    using namespace std;
    
    # define IL inline
    # define RG register
    # define UN unsigned
    # define ll long long
    # define rep(i, a, b) for(RG int i = a; i <= b; i++)
    # define per(i, a, b) for(RG int i = b; i >= a; i--)
    # define uev(e, u) for(RG int e = ft[u]; e != -1; e = edge[e].nt)
    # define mem(a, b) memset(a, b, sizeof(a))
    # define max(a, b) (((a) > (b)) ? (a) : (b))
    # define min(a, b) (((a) < (b)) ? (a) : (b))
    # define Swap(a, b) a ^= b, b ^= a, a ^= b;
    
    IL ll Get(){
        RG char c = '!'; RG ll x = 0, z = 1;
        while(c != '-' && (c < '0' || c > '9')) c = getchar();
        if(c == '-') z = -1, c = getchar();
        while(c >= '0' && c <= '9') x = x*10+c-'0', c = getchar();
        return x*z;
    }
    
    const int MAXN = 1000001;
    int ft[MAXN], n, cnt, vis[MAXN], fa[MAXN], m, ans = 2147483647;
    struct Edge{
        int to, nt, f;
    } edge[MAXN<<1];
    struct _Edge{
        int u, v, f;
        IL bool operator < (_Edge b) const{
            return f > b.f;
        }
    } _edge[MAXN];
    
    IL void Add(RG int u, RG int v, RG int f){
        edge[cnt] = (Edge){v, ft[u], f}; ft[u] = cnt++;
    }
    
    IL int Find(RG int x){
        return fa[x] == x ? x : Find(fa[x]);
    }
    
    IL void Kruskal(){
        sort(_edge + 1, _edge + m + 1);
        RG int t = 0;
        rep(i, 1, m){
            if(t == n - 1) break;
            RG int u = Find(_edge[i].u), v = Find(_edge[i].v);
            if(u != v){
                t++; fa[u] = v;
                Add(u, v, _edge[i].f); Add(v, u, _edge[i].f);
            }
        }
    }
    
    IL void Dfs(RG int u, RG int ans1){
        if(u == n) ans = ans1;
        uev(e, u){
            RG int v = edge[e].to;
            if(vis[v]) continue;
            vis[v] = 1;
            RG int f = min(ans1, edge[e].f);
            Dfs(v, f);
        }
    }
    
    int main(){
        RG int T = Get();
        rep(t, 1, T){
            n = Get(); m = Get();
            mem(ft, -1); ans = 2147483647; cnt = 0;
            rep(i, 1, m){
                RG int u = Get(), v = Get(), f = Get();
                _edge[i] = (_Edge){u, v, f};
            }
            rep(i, 1, n) fa[i] = i;
            Kruskal();
            mem(vis, 0); vis[1] = 1;
            Dfs(1, ans);
            printf("Scenario #%d:
    %d
    
    ", t, ans);
        }
        return 0;
    }
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  • 原文地址:https://www.cnblogs.com/cjoieryl/p/8206408.html
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