#include<iostream>
#include<cstdio>
#include<queue>
#include<cstring>
using namespace std;
const int MAXN = 5000, MAXE = 21474836;
struct Edge
{
int from, to, cost;
}es[MAXN << 2];
int first[MAXN << 2], next[MAXN << 2], tot, d[MAXN];
int t, c, te, ts;
bool used[MAXN];
queue < int > q;
void build(int f, int t, int d)
{
es[++tot].from = f;
es[tot].to = t;
es[tot].cost = d;
next[tot] = first[f];
first[f] = tot;
}
void spfa(int s)
{
d[s] = 0;
q.push(s);
used[s] = 1;
while(!q.empty())
{
int x = q.front();
q.pop();
used[x] = 0;
for(int i = first[x]; i != -1; i = next[i])
{
int u = es[i].to;
if(d[u] > d[x] + es[i].cost)
{
d[u] = d[x] + es[i].cost;
if(!used[u])
{
q.push(u);
used[u] = 1;
}
}
}
}
}
int main()
{
scanf("%d%d%d%d", &t, &c, &ts, &te);
memset(first, -1, sizeof(first));
for(int i = 1; i <= c; i++)
{
int rs, re, ci;
scanf("%d%d%d", &rs, &re, &ci);
build(rs, re, ci);
build(re, rs, ci);
}
memset(d, 0x3f, sizeof(d));
spfa(ts);
cout<<d[te];
return 0;
}