#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
using namespace std;
typedef long long ll;
typedef pair<int, int> p;
const int maxn(1e3 + 10);
const int maxm(2e5 + 10);
int ecnt, head[maxn], rhead[maxn];
bool vis[maxn];
int g[maxn];
struct edge {
int to, wt, nxt;
} edges[maxm];
template<typename T>
inline const T read()
{
T x = 0, f = 1;
char ch = getchar();
while (ch < '0' or ch > '9') {
if (ch == '-') f = -1;
ch = getchar();
}
while (ch >= '0' and ch <= '9') {
x = (x << 3) + (x << 1) + ch - '0';
ch = getchar();
}
return x * f;
}
template<typename T>
inline void write(T x, bool ln)
{
if (x < 0) {
putchar('-');
x = -x;
}
if (x > 9) write(x / 10, false);
putchar(x % 10 + '0');
if (ln) putchar(10);
}
inline void addEdge(int u, int v, int w, bool r)
{
edges[ecnt].to = v;
edges[ecnt].wt = w;
if (r) {
edges[ecnt].nxt = rhead[u];
rhead[u] = ecnt++;
} else {
edges[ecnt].nxt = head[u];
head[u] = ecnt++;
}
}
void dijkstra(int src)
{
memset(g, 0x3f, sizeof g);
g[src] = 0;
priority_queue<p, vector<p>, greater<p> > q;
q.push(p(0, src));
while (not q.empty()) {
int u = q.top().second;
q.pop();
if (vis[u]) continue;
vis[u] = true;
for (int i = rhead[u]; compl i; i = edges[i].nxt) {
int v = edges[i].to, w = edges[i].wt;
if (g[v] > g[u] + w) {
g[v] = g[u] + w;
q.push(p(g[v], v));
}
}
}
}
struct cmp {
bool operator ()(const p& a, const p& b) const {
return a.second + g[a.first] > b.second + g[b.first];
}
};
int astar(int src, int des, int k)
{
if (src == des) ++k;
priority_queue<p, vector<p>, cmp> q;
q.push(p(src, 0));
int cnt = 0;
while (not q.empty()) {
int u = q.top().first, d = q.top().second;
q.pop();
if (u == des and ++cnt == k) {
return d;
}
for (int i = head[u]; compl i; i = edges[i].nxt) {
int v = edges[i].to, w = edges[i].wt;
q.push(p(v, d + w));
}
}
return -1;
}
int main()
{
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
#endif
memset(head, -1, sizeof head);
memset(rhead, -1, sizeof rhead);
int n = read<int>(), m = read<int>();
while (m--) {
int u = read<int>(), v = read<int>(), w = read<int>();
addEdge(u, v, w, false);
addEdge(v, u, w, true);
}
int s = read<int>(), t = read<int>(), k = read<int>();
dijkstra(t);
write(astar(s, t, k), true);
return 0;
}
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using p = pair<int, int>;
const int maxn(1e3 + 10);
const int maxm(2e5 + 10);
int ecnt, head[maxn], rhead[maxn];
bool vis[maxn];
int g[maxn];
struct edge {
int to, wt, nxt;
} edges[maxm];
template<typename T = int>
inline const T read()
{
T x = 0, f = 1;
char ch = getchar();
while (ch < '0' or ch > '9') {
if (ch == '-') f = -1;
ch = getchar();
}
while (ch >= '0' and ch <= '9') {
x = (x << 3) + (x << 1) + ch - '0';
ch = getchar();
}
return x * f;
}
template<typename T>
inline void write(T x, bool ln)
{
if (x < 0) {
putchar('-');
x = -x;
}
if (x > 9) write(x / 10, false);
putchar(x % 10 + '0');
if (ln) putchar(10);
}
inline void addEdge(int u, int v, int w, bool r)
{
edges[ecnt].to = v;
edges[ecnt].wt = w;
if (r) {
edges[ecnt].nxt = rhead[u];
rhead[u] = ecnt++;
} else {
edges[ecnt].nxt = head[u];
head[u] = ecnt++;
}
}
void dijkstra(int src)
{
memset(g, 0x3f, sizeof g);
g[src] = 0;
priority_queue<p, vector<p>, greater<p>> q;
q.push(p(0, src));
while (not q.empty()) {
int u = q.top().second;
q.pop();
if (vis[u]) continue;
vis[u] = true;
for (int i = rhead[u]; compl i; i = edges[i].nxt) {
int v = edges[i].to, w = edges[i].wt;
if (g[v] > g[u] + w) {
g[v] = g[u] + w;
q.push(p(g[v], v));
}
}
}
}
int astar(int src, int des, int k)
{
if (src == des) ++k;
auto cmp = [&](const p& a, const p& b) {
return a.second + g[a.first] > b.second + g[b.first];
};
priority_queue<p, vector<p>, decltype(cmp)> q(cmp);
q.push(p(src, 0));
int cnt = 0;
while (not q.empty()) {
int u = q.top().first, d = q.top().second;
q.pop();
if (u == des and ++cnt == k) {
return d;
}
for (int i = head[u]; compl i; i = edges[i].nxt) {
int v = edges[i].to, w = edges[i].wt;
q.push(p(v, d + w));
}
}
return -1;
}
int main()
{
#ifndef ONLINE_JUDGE
freopen("input.txt", "r", stdin);
#endif
memset(head, -1, sizeof head);
memset(rhead, -1, sizeof rhead);
int n = read(), m = read();
while (m--) {
int u = read(), v = read(), w = read();
addEdge(u, v, w, false);
addEdge(v, u, w, true);
}
int s = read(), t = read(), k = read();
dijkstra(t);
write(astar(s, t, k), true);
return 0;
}