题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=6071
题目大意:有1,2,3,4四个点。是一个环。你可以从i到i+1,i-1。给了你1-2,2-3,3-4,4-5的距离。和一个k。问你从2出发,回到2的>=k的最短路为多少。
思路:
#include<bits/stdc++.h> #define LL long long using namespace std; vector<pair<int, LL> > v[5]; queue<pair<int , LL> > q; LL dis[5][70005], W; void SPFA(int u){ q.push({u, 0}), dis[u][0]=0; while(!q.empty()){ int now=q.front().first; LL nowS=q.front().second; q.pop(); for(int i=0; i<v[now].size(); i++){ int to=v[now][i].first; LL w=v[now][i].second; //cout<<to<<" "<<w<<endl; if(dis[to][(nowS+w)%W]>nowS+w){ dis[to][(nowS+w)%W]=nowS+w; q.push({to, nowS+w}); } } } } int main(){ int t; scanf("%d", &t); while(t--){ for(int i=1; i<5; i++) v[i].clear(); for(int i=1; i<5; i++){ for(int j=0; j<70005; j++){ dis[i][j]=1e18+5; } } LL k, d12, d23, d34, d41; cin>>k>>d12>>d23>>d34>>d41; W=min(d12, d23)*2; v[2].push_back({1, d12}); v[1].push_back({2, d12}); v[4].push_back({1, d41}); v[1].push_back({4, d41}); v[2].push_back({3, d23}); v[3].push_back({2, d23}); v[3].push_back({4, d34}); v[4].push_back({3, d34}); SPFA(2); LL ans=1e18+5; for(int i=0; i<W; i++){ LL d=dis[2][i]; //cout<<i<<" "<<d<<endl; if(d>=k){ ans=min(ans, dis[2][i]); } else{ ans=min(ans, dis[2][i]+((k-dis[2][i]+W-1)/W)*W); } } cout<<ans<<endl; } return 0; }