#include<queue>
#include<cstdio>
#include<string>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;
const int MAXN = 1010;
const int MAXM = 100010;
const int INF = 0x7fffffff;
typedef struct{
int to, next, w;
}Edge;
typedef struct Node{
int p, g, h;
Node(int p, int g, int h){
this->p = p;
this->g = g;
this->h = h;
}
bool operator < (const Node &node) const{
return node.g+node.h < g+h;
}
}Node;
Edge edge[MAXM << 1];
int n, m;
int head[MAXN], tail[MAXN], dist[MAXN];
int cnt[MAXN], vis[MAXN];
void addEdge(int u, int v, int w, int k){
edge[k].to = v;
edge[k].w = w;
edge[k].next = head[u];
head[u] = k++;
edge[k].to = u;
edge[k].w = w;
edge[k].next = tail[v];
tail[v] = k;
}
void init(int s){
memset(vis, 0, sizeof(vis));
memset(cnt, 0, sizeof(cnt));
for(int i = 1;i <= n;i ++) dist[i] = INF;
dist[s] = 0;
vis[s] = 1;
}
void spfa(int s){
init(s);
queue<int>q;
q.push(s);
while(!q.empty()){
int p = q.front();
vis[p] = 0;
q.pop();
for(int i = tail[p];~i;i = edge[i].next){
int u = edge[i].to;
if(dist[u] > dist[p] + edge[i].w){
dist[u] = dist[p] + edge[i].w;
if(!vis[u]){
vis[u] = 1;
q.push(u);
}
}
}
}
}
int aStar(int s, int t, int k){
priority_queue<Node>Q;
if(dist[s] == INF) return -1;
Q.push(Node(s, 0, dist[s]));
while(!Q.empty()){
Node tt = Q.top();
cnt[tt.p] ++ ;
if(cnt[tt.p] > k) continue;
if(cnt[tt.p] == k && tt.p == t) return tt.g+tt.h;
Q.pop();
for(int i = head[tt.p];~i;i = edge[i].next){
int u = edge[i].to;
Q.push(Node(u, tt.g+edge[i].w, dist[u]));
}
}
return -1;
}
int main(){
int s, t, k;
int u, v, w;
//freopen("in.c", "r", stdin);
while(~scanf("%d%d", &n, &m)){
memset(head, -1, sizeof(head));
memset(tail, -1, sizeof(tail));
k = 1;
for(int i = 1;i <= m;i ++){
scanf("%d%d%d", &u, &v, &w);
addEdge(u, v, w, k);
k += 2;
}
scanf("%d%d%d", &s, &t, &k);
if(s == t) k++;
spfa(t);
int ans = aStar(s, t, k);
printf("%d\n", ans);
}
return 0;
}