Luogu P5122 [USACO18DEC]Fine Dining 最短路
先跑一遍n为起点最短路,再新开一个点,向有干草垛的点连一根边权为d[u]-w的有向边(很重要。。我当时连的无向边,然后我死了。),相当于用价值抵消一部分边权,
然后以这个新的点为起点跑最短路就好了。。。
#include<cstdio> #include<iostream> #include<cstring> #include<queue> #define pc(x) putchar(x) #define R register int using namespace std; const int N=50010,M=100010; inline int g() { R ret=0,fix=1; register char ch; while(!isdigit(ch=getchar())) fix=ch=='-'?-1:fix; do ret=ret*10+(ch^48); while(isdigit(ch=getchar())); return ret*fix; } int n,m,k,cnt; int vr[M<<1],nxt[M<<1],w[M<<1],fir[N],d[N],f[N]; bool vis[N]; priority_queue<pair<int,int> > q; inline void add(int u,int v,int ww) {vr[++cnt]=v,w[cnt]=ww,nxt[cnt]=fir[u],fir[u]=cnt;} inline void dijk() { memset(d,0x3f,sizeof(int)*(n+2)); d[n]=0,q.push(make_pair(0,n)); while(q.size()) { R u=q.top().second; q.pop(); if(vis[u]) continue; vis[u]=true; for(R i=fir[u];i;i=nxt[i]) { R v=vr[i]; if(d[v]>d[u]+w[i]) d[v]=d[u]+w[i],q.push(make_pair(-d[v],v)); } } } inline void dijk2() { memset(f,0x3f,sizeof(int)*(n+3)); f[n+1]=0,q.push(make_pair(0,n+1)); memset(vis,false,sizeof(bool)*(n+3)); while(q.size()) { R u=q.top().second; q.pop(); if(vis[u]) continue; vis[u]=true; for(R i=fir[u];i;i=nxt[i]) { R v=vr[i]; if(f[v]>f[u]+w[i]) f[v]=f[u]+w[i],q.push(make_pair(-f[v],v)); } } } signed main() { n=g(),m=g(),k=g(); for(R i=1,u,v,w;i<=m;++i) u=g(),v=g(),w=g(),add(u,v,w),add(v,u,w); dijk(); for(R i=1,u,w;i<=k;++i) u=g(),w=g(),add(n+1,u,d[u]-w); dijk2(); for(R i=1;i<n;++i) f[i]<=d[i]&&d[i]!=0x3f3f3f3f?(pc('1'),pc('\n')):(pc('0'),pc('\n')); }
2019.04.24