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<pair<int, int> > adj[n+1];
int totalc = 0;
for(int i=0; i<m; i++) {
int a, b, c;
cin >> a >> b >> c;
if(a > b) swap(a, b);
if(c > 0 && (b - a) % 2 == 0) adj[b].push_back({a, c});
totalc += c;
}
int dp[n+1]; // max sum of chosen
dp[0] = dp[1] = 0;
int ma = 0;
for(int i=2; i<=n; i++) {
dp[i] = 0;
for(pair<int, int> x: adj[i]) {
dp[i] = max(dp[i], dp[x.first] + x.second);
}
ma = max(ma, dp[i]);
}
cout << totalc - ma << '\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);
}
/*
*/
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