
package backjoon;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.PriorityQueue;
import java.util.StringTokenizer;
public class Q_1916 {
static int V, E, start, end;
static int INF = (int) 1e9;
static StringTokenizer st;
static int[] arr;
static boolean[] visit;
static ArrayList<ArrayList<Node>> list = new ArrayList<ArrayList<Node>>();
static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
static class Node implements Comparable<Node> {
int index;
int distance;
Node(int index, int distance) {
this.index = index;
this.distance = distance;
}
@Override
public int compareTo(Node o) {
if (this.distance < o.distance)
return -1;
return 1;
}
}
public static void main(String[] args) throws IOException {
// st = new StringTokenizer(br.readLine());
V = Integer.parseInt(br.readLine());
E = Integer.parseInt(br.readLine());
// 최단거리 테이블
arr = new int[V + 1];
// 초기화
for (int i = 0; i < V + 1; i++) {
list.add(new ArrayList<Node>());
}
for (int i = 0; i < E; i++) {
st = new StringTokenizer(br.readLine());
int a = Integer.parseInt(st.nextToken());
int b = Integer.parseInt(st.nextToken());
int c = Integer.parseInt(st.nextToken());
list.get(a).add(new Node(b, c));
}
st = new StringTokenizer(br.readLine());
start = Integer.parseInt(st.nextToken());
end = Integer.parseInt(st.nextToken());
Arrays.fill(arr, INF);
dijkstra(start);
System.out.println(arr[end]);
}
private static void dijkstra(int start) {
PriorityQueue<Node> pq = new PriorityQueue<>();
pq.offer(new Node(start, 0));
arr[start] = 0;
while (!pq.isEmpty()) {
Node node = pq.poll();
int dist = node.distance;
int now = node.index;
if (arr[now] < dist)
continue;
for (int i = 0; i < list.get(now).size(); i++) {
int cost = arr[now] + list.get(now).get(i).distance;
if (cost < arr[list.get(now).get(i).index]) {
arr[list.get(now).get(i).index] = cost;
pq.offer(new Node(list.get(now).get(i).index, cost));
}
}
}
}
}