This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//Copyright © 2022 Youngmin Park. All rights reserved.
//#pragma GCC optimize("O3")
//#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using vi = vector<int>;
using pii = pair<int, int>;
using vpi = vector<pii>;
using pll = pair<ll, ll>;
using vl = vector<ll>;
using vpl = vector<pll>;
using ld = long double;
template <typename T, size_t SZ>
using ar = array<T, SZ>;
#define all(v) (v).begin(), (v).end()
#define pb push_back
#define sz(x) (int)(x).size()
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define F0R(i, a) FOR(i, 0, a)
#define ROF(i, a, b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i, a) ROF(i, 0, a)
#define REP(a) F0R(_, a)
const int INF = 1e9;
const ll LINF = 1e18;
const int MOD = 1e9 + 7; //998244353;
const ld PI = acos((ld)-1.0);
const int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1};
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
template <typename T>
bool ckmin(T &a, const T &b) { return b < a ? a = b, 1 : 0; }
template <typename T>
bool ckmax(T &a, const T &b) { return b > a ? a = b, 1 : 0; }
template <typename A, typename B>
ostream &operator<<(ostream &os, const pair<A, B> &p)
{
return os << '(' << p.first << ", " << p.second << ')';
}
template <typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type>
ostream &operator<<(ostream &os, const T_container &v)
{
os << '{';
string sep;
for (const T &x : v)
os << sep << x, sep = ", ";
return os << '}';
}
void dbg_out()
{
cerr << endl;
}
template <typename Head, typename... Tail>
void dbg_out(Head H, Tail... T)
{
cerr << ' ' << H;
dbg_out(T...);
}
#ifdef LOCAL
#define dbg(...) cerr << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...) 42
#endif
inline namespace RecursiveLambda{
template <typename Fun>
struct y_combinator_result{
Fun fun_;
template <typename T>
explicit y_combinator_result(T &&fun): fun_(forward<T>(fun)){}
template <typename...Args>
decltype(auto) operator()(Args &&...args){
return fun_(ref(*this), forward<Args>(args)...);
}
};
template <typename Fun>
decltype(auto) y_combinator(Fun &&fun){
return y_combinator_result<decay_t<Fun>>(forward<Fun>(fun));
}
};
void setIO(string s) // USACO
{
#ifndef LOCAL
freopen((s + ".in").c_str(), "r", stdin);
freopen((s + ".out").c_str(), "w", stdout);
#endif
}
const int N = 5000;
int tin[N], tout[N], timer, deg[N];
pii p[N];
int dp[N][1 << 10];
vi adj[N];
bool dep[N];
struct Edge {
int u, v, lca, cost;
bool operator<(const Edge& o) const {
return tout[lca] < tout[o.lca];
}
};
vector<Edge> edges;
void dfs(int u = 0, int pu = -1) {
if (~pu) dep[u] = !dep[pu];
tin[u] = ++timer;
for (auto &v : adj[u]) {
if (v == pu) continue;
p[v] = {u, 1 << (deg[u]++)};
dfs(v, u);
}
tout[u] = ++timer;
}
bool anc(int u, int v) {
return (tin[u] <= tin[v] && tout[v] <= tout[u]);
}
int calc_lca(int u, int v) {
while (!anc(u, v)) u = p[u].fi;
return u;
}
void solve()
{
int n, m;
cin >> n >> m;
int totC = 0;
F0R(i, m) {
int u, v, cost;
cin >> u >> v >> cost;
u--, v--;
totC += cost;
if (cost == 0) {
adj[u].pb(v), adj[v].pb(u);
}
edges.pb({u, v, 0, cost});
}
dfs();
for (auto &[u, v, lca, cost] : edges) lca = calc_lca(u, v);
sort(all(edges));
for (auto &[u, v, lca, cost] : edges) {
if (cost && ((dep[u] ^ dep[v]))) continue;
int sum = cost;
pii U = {u, 0}, V = {v, 0};
for (; U.fi != lca; U = p[U.fi]) sum += dp[U.fi][U.se];
for (; V.fi != lca; V = p[V.fi]) sum += dp[V.fi][V.se];
R0F(mask, 1 << deg[lca]) {
if ((mask & (U.se)) || (mask & V.se)) continue;
ckmax(dp[lca][mask], sum + dp[lca][mask | V.se | U.se]);
}
}
cout << totC - dp[0][0] << '\n';
}
int main()
{
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
int testcase=1;
// cin >> testcase;
while (testcase--)
{
solve();
}
}
Compilation message (stderr)
training.cpp: In function 'void setIO(std::string)':
training.cpp:94:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
94 | freopen((s + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
training.cpp:95:13: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
95 | freopen((s + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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