luogu P4568 [JLOI2011]飞行路线

传送门

看到免费次数\(k\)最多只有10,可以考虑构建\(k+1\)层的分层图,即每一层正常连边,上下两层对应点连边权为0的单向边,最后对所有层里面的\(di_t\)取\(\max\)救星了

#include<bits/stdc++.h>
#define LL long long
#define il inline
#define re register
#define db double
#define eps (1e-5) using namespace std;
const int N=10000+10,M=50000+10;
il LL rd()
{
re LL x=0,w=1;re char ch;
while(ch<'0'||ch>'9') {if(ch=='-') w=-1;ch=getchar();}
while(ch>='0'&&ch<='9') {x=(x<<3)+(x<<1)+(ch^48);ch=getchar();}
return x*w;
}
int to[(M*22)<<1],nt[(M*22)<<1],w[(M*22)<<1],hd[N*11],tot=1;
il void add(int x,int y,int z){++tot,to[tot]=y,nt[tot]=hd[x],w[tot]=z,hd[x]=tot;}
struct node
{
int x,d;
bool operator < (const node &bb) const {return d>bb.d;}
};
int n,m,kk,ss,tt,ed,di[N*11]; int main()
{
n=rd(),m=rd(),kk=rd(),ss=rd(),tt=rd();
for(int i=1;i<=m;i++)
{
int x=rd(),y=rd(),z=rd();
for(int j=0;j<=kk;j++) add(x+j*n,y+j*n,z),add(y+j*n,x+j*n,z);
for(int j=0;j<kk;j++) add(x+j*n,y+(j+1)*n,0),add(y+j*n,x+(j+1)*n,0);
}
ed=n*(kk+1);
for(int j=0;j<=kk;j++) add(tt+j*n,ed,0);
memset(di,63,sizeof(di));
di[ss]=0;
priority_queue<node> q;
q.push((node){ss,0});
while(!q.empty())
{
int x=q.top().x,d=q.top().d;
q.pop();
if(d>di[x]) continue;
for(int i=hd[x];i;i=nt[i])
{
int y=to[i];
if(di[y]>di[x]+w[i])
{
di[y]=di[x]+w[i];
q.push((node){y,di[y]});
}
}
}
printf("%d\n",di[ed]);
return 0;
}
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