c++
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr int N = 2e5 + 5;
constexpr int M = 1e6 + 5;
struct edge {
int u, v, w;
} e[N];
int head[N], to[M], nxt[M], t[M], tot;
void add(int u, int v, int w) {
nxt[++tot] = head[u];
head[u] = tot;
to[tot] = v;
t[tot] = w;
}
int dfn[N], low[N], timer;
int scc[N], scc_cnt;
int stk[N], top;
int n, m;
void tarjan(int u) {
dfn[u] = low[u] = ++timer;
stk[++top] = u;
for (int i = head[u]; i; i = nxt[i]) {
int v = to[i];
if (!dfn[v]) {
tarjan(v);
low[u] = std::min(low[u], low[v]);
} else if (!scc[v]) {
low[u] = std::min(low[u], dfn[v]);
}
}
if (low[u] == dfn[u]) {
++scc_cnt;
int v;
do {
v = stk[top--];
scc[v] = scc_cnt;
} while (v != u);
}
}
void work() {
for (int i = 1; i <= n; i++)
if (!dfn[i]) tarjan(i);
}
int dist[N];
using P = std::pair<int, int>;
void fc() {
std::cin >> n >> m;
for (int i = 0; i < m; i++) {
std::cin >> e[i].u >> e[i].v >> e[i].w;
add(e[i].u, e[i].v, e[i].w);
}
work();
for (int i = 1; i <= scc_cnt; i++) head[i] = 0;
tot = 0;
for (int i = 0; i < m; i++) {
int u = scc[e[i].u], v = scc[e[i].v];
if (u == v) continue;
add(u, v, e[i].w);
}
std::priority_queue<P, std::vector<P>, std::greater<P>> q;
q.push({0,scc[1]});
for(int i=1;i<=scc_cnt;i++)dist[i]=INT_MAX;
dist[scc[1]] = 0;
while (q.size()) {
auto [d,u] = q.top();
q.pop();
if (dist[u] < d) continue;
for (int i = head[u]; i; i = nxt[i]) {
int v = to[i];
int dw = t[i] + d;
if (dw < dist[v]) {
dist[v] = dw;
q.push({dw,v});
}
}
}
std::cout<<dist[scc[n]];
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
// std::cin>>t;
while (t--) fc();
return 0;
}