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#include <bits/stdc++.h>
using namespace std;
const int N = 2510;
const int M = 6200 * 2 + 10;
typedef pair<int, int> PII;
int h[N], w[M], e[M], ne[M], idx;
bool st[N];
int dis[N];
void add(int a, int b, int c) {
e[idx] = b, ne[idx] = h[a], w[idx] = c, h[a] = idx++;
}
int n, m, S, T;
int dijkstra() {
memset(dis, 0x3f, sizeof dis);
dis[S] = 0;
priority_queue<PII, vector<PII>, greater<PII>> q;
q.push({0, S});
while (q.size()) {
PII t = q.top();
q.pop();
int u = t.second;
if (st[u]) continue;
st[u] = true;
for (int i = h[u]; ~i; i = ne[i]) {
int v = e[i];
if (dis[v] > dis[u] + w[i]) {
dis[v] = dis[u] + w[i];
q.push({dis[v], v});
}
}
}
return dis[T];
}
int main() {
cin >> n >> m >> S >> T;
memset(h, -1, sizeof h);
while (m--) {
int a, b, c;
cin >> a >> b >> c;
add(a, b, c), add(b, a, c);
}
printf("%d\n", dijkstra());
return 0;
}