This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//#pragma GCC optimize("O3,unroll-loops,Ofast")
//#pragma GCC target("avx2,bmi,bmi2,popcnt,lzcnt")
#include <bits/stdc++.h>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define MAX 200007
#define pb push_back
#define mp make_pair
//#define int long long
#define f first
#define s second
#define vi vector<int>
#define pii pair<int,int>
#define si set<int>
#define vpii vector<pair<int,int>>
const int mod = 1e9+7;
//const int INF = 1e18;
// myMap.begin()->first : key
// myMap.begin()->second : value
int epow(int a,int b){int ans=1;while(b){if(b&1) ans*=a;a*=a;;b>>=1;}return ans;}
int gcd(int a,int b) {if(a<b)swap(a,b);while(b){int tmp=b;b=a%b;a=tmp;}return a;}
int mul(int a,int b){return ((a%mod)*(b%mod))%mod;}
int sum(int a,int b){return ((a%mod)+(b%mod))%mod;}
//typedef tree<pii,null_type,less<pii>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
void solve(){
int n,m,k,a,b; cin>>n>>m>>k>>a>>b;
vector<vector<pii>> adj(n+2);
for(int i=0;i<m;i++){
int x,y; cin>>x>>y;
adj[x].pb({y,a}); adj[y].pb({x,a});
}
vi used1(n+5); queue<pii> q;
for(int i=1;i<=n;i++){
q=queue<pii>(); q.push({i,0});
used1=vi(n+5);
while(q.size()){
auto node = q.front();
q.pop();
used1[node.f]=true;
// cout<<node.f<<" "<<node.s<<endl;
if(node.s==2){
adj[i].pb({node.f,b});
adj[node.f].pb({i,b});
// cout<<i<<" "<<node.f<<endl;
continue;
}
for(auto u : adj[node.f]){
if(u.s==b || used1[u.f]) continue; // ikinci kosuldan emin degilim!!
q.push({u.f,node.s+1}); used1[u.f]=true;
}
}
}
priority_queue<pii,vector<pii>,greater<pii>> pq; pq.push({0,k});
vi dist(n+5,1e9); dist[k]=0;
while(pq.size()){
auto node = pq.top();
pq.pop();
if(dist[node.s]!=node.f) continue;
for(auto u : adj[node.s]){
if(dist[u.f]>dist[node.s]+u.s){
dist[u.f]=dist[node.s]+u.s;
pq.push({dist[u.f],u.f});
}
}
}
for(int i=1;i<=n;i++) cout<<dist[i]<<"\n";;
return;
}
int32_t main() {
// freopen("hayfeast.in", "r", stdin);
// freopen("hayfeast.out", "w", stdout);
ios_base::sync_with_stdio(0);cin.tie(0);
int t=1;
// cin >> t;
while (t--) solve();
return 0;
}
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