spfa
#include<queue>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;
const int N = 100010, M = 2 * N;
int n, m;
int h[N], w[M], e[M], ne[M], idx;
int dist[N];
bool st[N];
void add(int a, int b, int c) {
e[idx] = b, w[idx] = c, ne[idx] = h[a], h[a] = idx ++;
}
int spfa() {
memset(dist, 0x3f, sizeof dist);
dist[1] = 0;
queue<int> q;
q.push(1);
st[1] = true;
while(q.size()) {
int t = q.front();
q.pop();
st[t] = false;
for(int i = h[t]; i != -1; i = ne[i]) {
int j = e[i];
if(dist[j] > dist[t] + w[i]) {
dist[j] = dist[t] + w[i];
if(!st[j]) {
q.push(j);
st[j] = true;
}
}
}
}
if(dist[n] == 0x3f3f3f3f) return -1;
return dist[n];
}
int main() {
cin >> n >> m;
memset(h, -1, sizeof h);
while(m --) {
int a, b, c;
cin >> a >> b >> c;
add(a, b, c);
}
int t = spfa();
if(t == -1) puts("impossible");
else cout << t << endl;
return 0;
}