This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
#define int long long
const int MAXN = 2e5 + 10;
const int MOD = 1e9 + 7;
mt19937_64 rng((int)std::chrono::steady_clock::now().time_since_epoch().count());
int rnd(int x, int y) {
int u = uniform_int_distribution<int>(x, y)(rng); return u;
}
int bm(int b, int p) {
if(p==0) return 1 % MOD;
int r = bm(b, p >> 1);
if(p&1) return (((r*r) % MOD) * b) % MOD;
return (r*r) % MOD;
}
int inv(int b) {
return bm(b, MOD-2);
}
int fastlog(int x) {
return (x == 0 ? -1 : 64 - __builtin_clzll(x) - 1);
}
void printcase(int i) { cout << "Case #" << i << ": "; }
void solve(int tc) {
int n, m;
cin >> n >> m;
vector<int> chain[n+1];
vector<pair<int,int> > adj[n+1];
int tcost = 0;
for(int i=0; i<m; i++) {
int a, b, c;
cin >> a >> b >> c;
tcost += c;
if(c == 0) {
chain[a].push_back(b);
chain[b].push_back(a);
}
else {
adj[a].push_back({b, c});
adj[b].push_back({a, c});
}
}
vector<int> ord;
int st;
for(int i=1; i<=n; i++) if(chain[i].size() == 1) st = i;
ord.push_back(st);
bool vis[n+1];
for(int i=1; i<=n; i++) vis[i] = 0;
for(int i=1; i<n; i++) {
vis[st] = 1;
for(int x: chain[st]) {
if(!vis[x]) {
st = x; break;
}
}
ord.push_back(st);
}
int dp[n+1];
for(int i=1; i<=n; i++) dp[i] = vis[i] = 0;
int ma = 0;
for(int x: ord) {
vis[x] = 1;
for(pair<int, int> y: adj[x]) {
if(vis[y.first]) dp[x] = max(dp[x], dp[y.first] + y.second);
}
ma = max(ma, dp[x]);
dp[x] = ma;
}
cout << tcost - dp[n] << '\n';
}
int32_t main() {
ios::sync_with_stdio(0); cin.tie(0);
int t = 1; //cin >> t;
for(int i=1; i<=t; i++) solve(i);
}
/*
5 8
3 2 0
4 3 0
5 4 0
1 5 0
2 4 2
4 1 2
3 5 5
3 1 1
*/
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