kind_aunt @ 2024-08-17 10:18:02
#include<bits/stdc++.h>
#define int long long
#define INF 1e9
using namespace std;
const int N=5e4+5;
int n,m,b;
int f[N],dp[N];
int u,v,w;
bool vis[N];
struct K{
int x,id;
bool operator <(const K &k)const{
return k.x<x;
}
};
priority_queue<K> q;
struct node{
int v,w;
};
vector<node> edge[N];
bool check_Dij(int mid)
{
if(f[1]>mid)
return 0;
q.push({1,0});
while(q.size())
{
u=q.top().id;
q.pop();
if(vis[u]) continue;
vis[u]=1;
for(auto i:edge[u])
{
v=i.v,w=i.w;
if(f[v]<=mid&&dp[v]>dp[u]+w)
{
dp[v]=dp[u]+w;
q.push({v,dp[v]});
}
}
}
if(dp[n]<=b)
return 1;
return 0;
}
void init()
{
memset(vis,0,sizeof vis);
memset(dp,0x3f,sizeof dp);
dp[1]=0;
for(int i=1;i<=n;i++)
edge[i].clear();
}
int rr;
signed main()
{
cin>>n>>m>>b;
for(int i=1;i<=n;i++)
cin>>f[i],rr=max(rr,f[i]);
for(int i=1;i<=m;i++)
{
cin>>u>>v>>w;
edge[u].push_back({v,w});
edge[v].push_back({u,w});
}
int l=1,r=rr;
while(l<r)
{
int mid=l+r>>1;
init();
// cout<<mid<<'\n';
if(check_Dij(mid)) r=mid-1;
else l=mid+1;
}
cout<<l<<'\n';
return 0;
}
by Makerlike @ 2024-08-23 19:49:57
if(dp[n]<b) return 1;
return 0;