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;
typedef long long ll;
typedef long double ld;
typedef pair <ll,ll> pll;
typedef pair <int,int> pii;
typedef pair <int,pii> piii;
#define forr(_a,_b,_c) for(int _a = (_b); _a <= int (_c); ++_a)
#define ford(_a,_b,_c) for(int _a = (_b) + 1; _a --> int (_c);)
#define forf(_a,_b,_c) for(int _a = (_b); _a < int (_c); ++_a)
#define st first
#define nd second
#define pb push_back
#define mp make_pair
#define all(x) begin(x),end(x)
#define mask(i) (1LL << (i))
#define bit(x, i) (((x) >> (i)) & 1)
#define bp __builtin_popcountll
#define file "test"
template<class X, class Y>
bool minz(X &x, const Y &y) {
if (x > y) {
x = y;
return true;
} return false;
}
template<class X, class Y>
bool maxz(X &x, const Y &y) {
if (x < y) {
x = y;
return true;
} return false;
}
const int N = 5e5 + 5;
const ll oo = (ll) 1e16;
const ll mod = 1e9 + 7; // 998244353;
ll dp[N], dep[N], n, u, v, w, deg[N], m;
vector <pll> a[N];
void dfs (int u, int p){
dp[u] = dp[p];
dep[u] = dep[p] + 1;
for (pll e : a[u]){
ll v = e.st, w = e.nd;
if (dep[v] && (dep[u] - dep[v]) & 1 && w){
continue;
}
if (w && dep[v]){
maxz(dp[u], dp[v] + w);
}
}
for (pll e : a[u])
if (e.st != p && !e.nd)
dfs(e.st, u);
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0);
#ifdef hqm
freopen(file".inp", "r", stdin); freopen(file".out", "w", stdout);
#endif
cin >> n >> m;;
ll sum = 0;
forr (i, 1, m){
cin >> u >> v >> w;
a[u].pb(mp(v, w));
a[v].pb(mp(u, w));
sum += w;
if (w == 0)
deg[u]++, deg[v]++;
}
forr (i, 1, n)
if (deg[i] == 1){
dfs(i, 0);
forr (j, i + 1, n)
if (deg[j] == 1)
cout << sum - dp[j] << "\n";
return 0;
}
return 0;
}
/*
*/
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