#ifdef __AVX2__
#pragma GCC target "avx2"
#endif
#pragma GCC optimize "O3"
#pragma GCC optimize "unroll-loops"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
#define int long long
#define elif else if
#define all(l) begin(l),end(l)
#define rall(l) rbegin(l),rend(l)
#define append push_back
#define print(l) for(auto i:l) cout<<i<<' '; cout<<endl;
#define pprint(a,b) cout<<a<<' '<<b<<endl;
#define inp(l) for(auto &i:l) cin>>i;
#define ordered_set tree<int, null_type,less<int>, rb_tree_tag,tree_order_statistics_node_update>
#define pai make_pair
#define endl "\n"
#define pii pair<int,int>
#define fi first
#define se second
#define vec vector
#define pq priority_queue
// const int mod=998244353;
const int mod1=998244353;
const int mod=1e9+7;
const int N=2e5+5;
int n,m,s,t,l,k;
int dis[2][N];
vec<vec<int>>G[N];
void dij(int u,int ind){
pq<pii>q;
q.push({0,u});
for(int i=1;i<=n;i++) dis[ind][i]=1e18;
while(q.size()){
int w=-q.top().fi,u=q.top().se;
q.pop();
if(dis[ind][u]>w){
dis[ind][u]=w;
for(auto ed:G[u]){
int v=ed[0],w1=ed[1];
w1+=dis[ind][u];
q.push({-w1,v});
}
}
}
}
int iter=1,itera=1;
void solve(){
cin>>n>>m>>s>>t>>l>>k;
for(int i=1;i<=m;i++){
int u,v,w;
cin>>u>>v>>w;
G[u].append({v,w});
G[v].append({u,w});
}
dij(s,0);
dij(t,1);
if(dis[0][t]<=k){
cout<<(n*(n-1))/2<<endl;
return;
}
cout<<G[s].size()+G[t].size()+1<<endl;
}
signed main(){
// freopen("","r",stdin);
// freopen("","w",stdout);
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
// cin>>itera;
for(iter=1;iter<=itera;iter++) solve();
}
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