DP WuKong hdu2833

挺好的一道题

想到对于任意两点(可相同),如果两路径都经过那么一定是走同样的两点之间的最短路

这道题就迎刃而解啦

代码如下:

/*  ^^ ====== ^^ 
ID: meixiuxiu
PROG: test
LANG: C++11
*/
#include <cstdio>
#include <cstdlib>
#include <iostream>
#include <algorithm>
#include <cstring>
#include <climits>
#include <string>
#include <vector>
#include <cmath>
#include <stack>
#include <queue>
#include <set>
#include <map>
#include <sstream>
#include <cctype>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int ,int> pii;
#define MEM(a,b) memset(a,b,sizeof a)
#define CLR(a) memset(a,0,sizeof a);
#define pi acos(-1.0)
#define maxn 40000
#define maxv 100005
const int inf = 0x3f3f3f3f;
const int MOD = 1e9 + 7;
//#define LOCAL
int dis[505][505];
int cnt[505][505];
int n,m;
int main()
{
#ifdef LOCAL
    freopen("in.txt", "r", stdin);
//    freopen("out.txt","w",stdout);
#endif
    while(cin >> n >> m && (n+m)){
        MEM(dis,inf);
        for(int i=1;i<=n;i++){
            for(int j=1;j<=n;j++){
                cnt[i][j] = 2;
            }
        }
        for(int i=1;i<=n;i++)dis[i][i]=0,cnt[i][i]=1;
        for(int i=1;i<=m;i++){
            int a,b,c;scanf("%d%d%d",&a,&b,&c);
            dis[a][b] = min(dis[a][b],c);
            dis[b][a] = min(dis[b][a],c);
        }    
        int s1,t1,s2,t2;scanf("%d%d%d%d",&s1,&t1,&s2,&t2);
        for(int k=1;k<=n;k++){
            for(int i=1;i<=n;i++){
                for(int j=1;j<=n;j++){
                    if(dis[i][j] > dis[i][k]+dis[k][j]){
                        dis[i][j] = dis[i][k]+dis[k][j];
                        cnt[i][j] = cnt[i][k]+cnt[k][j]-1;
                    }
                    else if(dis[i][j] == dis[i][k]+dis[k][j] && cnt[i][j]<cnt[i][k]+cnt[k][j]-1){
                        cnt[i][j] = cnt[i][k]+cnt[k][j]-1;
                    }
                }
            }
        }
        int nmax = 0;
        ll a = dis[s1][t1];
        ll b = dis[s2][t2];
        for(int i=1;i<=n;i++){
            for(int j=1;j<=n;j++){
                if((((dis[s1][i]+dis[i][j]+dis[j][t1])==a) || ((dis[t1][i]+dis[i][j]+dis[j][s1])==a)) && 
                    (((dis[s2][i]+dis[i][j]+dis[j][t2])==b) || ((dis[t2][i]+dis[i][j]+dis[j][s2])==b))){
                    nmax = max(nmax,cnt[i][j]);
                }
            }
        }
        end:cout << nmax <<endl;
    }
    return 0;
}


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