/**
* Author : Nguyen Tuan Vu
* Created : 20.01.2023
**/
#pragma GCC optimize("O2")
#pragma GCC target("avx,avx2,fma")
#include<bits/stdc++.h>
#define MASK(x) ((1ll)<<(x))
#define BIT(x, i) (((x)>>(i))&(1))
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define FOR(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define db(val) "["#val" = "<<(val)<<"] "
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
template <class X, class Y> bool minimize(X &a, Y b) {
if (a > b) return a = b, true;
return false;
}
template <class X, class Y> bool maximize(X &a, Y b) {
if (a < b) return a = b, true;
return false;
}
using namespace std;
mt19937 jdg(chrono::steady_clock::now().time_since_epoch().count());
int Rand(int l, int r) {return l + jdg() % (r - l + 1);}
void file(){
#define TASK "TASK"
if(fopen(TASK".inp", "r")) {
freopen(TASK".inp", "r", stdin);
freopen(TASK".out", "w", stdout);
}
}
const int N = 1e3 + 5;
const int K = 10;
int n, m, par[N], high[N], dp[N][MASK(K)];
vector <int> adj[N];
vector <array <int, 3>> edges;
vector <array <int, 3>> cmd[N];
void dfs(int u) {
for (auto v : adj[u]) if (par[u] != v) {
par[v] = u;
high[v] = high[u] + 1;
dfs(v);
}
}
int LCA(int u, int v) {
if (high[u] < high[v]) swap(u, v);
while (high[u] > high[v]) u = par[u];
while (u != v) {
u = par[u];
v = par[v];
}
return u;
}
int getID(int u, int v) {
return lower_bound(ALL(adj[u]), v) - adj[u].begin();
}
pair <int, int> jump(int st, int en) {
int mask = MASK(K) - 1;
int totalSum = 0;
while (1) {
//cout << en << '\n';
totalSum += dp[en][mask];
mask = (MASK(K) - 1) ^ MASK(getID(par[en], en));
if (par[en] == st) break;
en = par[en];
}
return make_pair(MASK(getID(par[en], en)), totalSum);
}
void _dfs(int u) {
//cout << u << ' ';
for (auto v : adj[u]) if (par[u] != v) _dfs(v);
//return;
vector <pair <int, int>> done;
for (auto x : cmd[u]) if (u == x[0] || u == x[1]) {
done.push_back(jump(u, u ^ x[0] ^ x[1]));
done.back().second += x[2];
}
else {
pair <int, int> Left = jump(u, x[0]);
pair <int, int> Right = jump(u, x[1]);
done.push_back({Left.first ^ Right.first, Left.second + Right.second + x[2]});
}
for (auto v : adj[u]) if (par[u] != v) done.push_back({MASK(getID(u, v)), dp[v][MASK(K) - 1]});
REP(mask, MASK(K)) {
REP(i, K) if (BIT(mask, i)) maximize(dp[u][mask], dp[u][mask ^ MASK(i)]);
for (auto x : done) if ((mask | x.first) == mask) {
maximize(dp[u][mask], dp[u][mask ^ x.first] + x.second);
}
}
/*REP(mask, MASK(K)) if (dp[u][mask]) {
cout << u << ' ' << mask << ' ' << dp[u][mask] << '\n';
}
cout << '\n';*/
}
int main()
{
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
file();
cin >> n >> m;
long long totalWeight = 0;
FOR(i, 1, m) {
int u, v, w; cin >> u >> v >> w;
if (w == 0) {
adj[u].push_back(v);
adj[v].push_back(u);
}
else {
edges.push_back({u, v, w});
totalWeight += w;
}
}
dfs(1);
//return 0;
for (auto x : edges) if (high[x[0]] % 2 == high[x[1]] % 2) {
//cout << x[0] << ' ' << x[1] << ' ' << x[2] << ' ' << LCA(x[0], x[1]) << '\n';
cmd[LCA(x[0], x[1])].push_back({x[0], x[1], x[2]});
}
//pair <int, int> tmp = jump(1, 3);
//cout << tmp.first << ' ' << tmp.second << '\n';
//return 0;
_dfs(1);
cout << totalWeight - *max_element(dp[1], dp[1] + MASK(K));
cerr << "Time elapsed: " << TIME << " s.\n";
return 0;
}
/*
==================================================+
INPUT: |
--------------------------------------------------|
--------------------------------------------------|
==================================================+
OUTPUT: |
--------------------------------------------------|
--------------------------------------------------|
==================================================+
*/
Compilation message
training.cpp: In function 'void file()':
training.cpp:35:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
35 | freopen(TASK".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
training.cpp:36:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
36 | freopen(TASK".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
596 KB |
Output is correct |
| 2 |
Correct |
3 ms |
596 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
51 ms |
4580 KB |
Output is correct |
| 2 |
Correct |
51 ms |
4556 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
1 ms |
380 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
2 ms |
340 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
5 ms |
596 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
12 ms |
752 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
21 ms |
1164 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
46 ms |
2124 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
20 ms |
596 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
46 ms |
964 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
