/*Author: KawakiMeido*/
#include <bits/stdc++.h>
#define pb push_back
#define endl "\n"
#define int long long
#define all(x) (x).begin(),(x).end()
#define pii pair<int,int>
#define piii pair<int,pii>
#define fi first
#define se second
using namespace std;
/*Constants*/
const int N = 1000+10;
const int INF = 1e9+7;
const int LG = 10;
const long long LLINF = 1e18+3;
/*TestCases*/
int test=1;
void solve();
void TestCases(bool v){
if (v) cin >> test;
while(test--) solve();
}
/*Global Variables*/
int n,m,t=0;
vector<int> adj[N];
int up[LG][N];
int depth[N],cost[5*N];
int dp[N][5*N];
int bitmask[N][(1<<LG)+10];
int cur[N][5*N],done[N][5*N];
vector<int> pos[N][5*N],s[N],e[N];
vector<piii> edges;
//LCA
void DFS(int u, int p, int d){
depth[u] = d;
up[0][u] = p;
for (int lg=1; lg<LG; lg++){
up[lg][u] = up[lg-1][up[lg-1][u]];
}
for (auto v:adj[u]){
if (v==p) continue;
DFS(v,u,d+1);
}
}
int Lift(int u,int x){
for (int lg=0; lg<LG; lg++){
if (x&(1<<lg)) u = up[lg][u];
}
return u;
}
pii GetLCA(int u, int v){
int res = 0;
if (depth[u]>depth[v]) swap(u,v);
res+=depth[v]-depth[u];
// cout << depth[v] << " " << depth[u] << endl;
v = Lift(v,depth[v]-depth[u]);
// cout << u << " " << v << endl;
if (u==v) return make_pair(u,res);
for (int lg=LG-1; lg>=0; lg--){
if (up[lg][u]!=up[lg][v]){
res+=(1<<lg)*2;
u = up[lg][u];
v = up[lg][v];
}
}
res+=2;
return make_pair(up[0][u],res);
}
void DP(int u, int p){
int cnt = 0;
for (auto v:adj[u]){
if (v==p) continue;
DP(v,u);
for (int i=1; i<=m; i++){
if (done[v][i]){
done[u][i] = 1;
dp[u][i]+=dp[v][i];
pos[u][i].push_back(cnt);
}
else if (cur[v][i]){
cur[u][i] = 1;
dp[u][i]+=dp[v][i];
pos[u][i].push_back(cnt);
}
}
++cnt;
}
for (auto x:s[u]){
cur[u][x] = 1;
}
for (auto x:e[u]){
done[u][x] = 1;
dp[u][x]+=cost[x];
}
for (int i=1; i<=m; i++){
if (done[u][i]){
int mask = 0;
for (auto idx:pos[u][i]){
mask^=(1<<idx);
}
bitmask[u][mask] = max(bitmask[u][mask],dp[u][i]);
}
}
for (int mask=1; mask<(1<<cnt); mask++){
int rawr = __builtin_popcount(mask);
if (rawr>1){
for (int idx=0; idx<cnt; idx++){
if (!(mask&(1<<idx))) continue;
int premask1 = mask^(1<<idx);
int premask2 = (1<<idx);
bitmask[u][mask] = max(bitmask[u][mask],bitmask[u][premask1]+bitmask[u][premask2]);
}
}
if (rawr>2){
for (int idx1=0; idx1<cnt; idx1++){
for (int idx2=idx1+1; idx2<cnt; idx2++){
if (!(mask&(1<<idx1)) || !(mask&(1<<idx2))) continue;
int premask1 = (mask^(1<<idx1))^(1<<idx2);
int premask2 = (1<<idx1)^(1<<idx2);
bitmask[u][mask] = max(bitmask[u][mask],bitmask[u][premask1]+bitmask[u][premask2]);
}
}
}
}
for (int i=1; i<=m; i++){
if (cur[u][i]){
int mask = 0;
for (auto idx:pos[u][i]){
mask^=(1<<idx);
}
dp[u][i]+=bitmask[u][((1<<cnt)-1)^mask];
}
}
for (auto x:e[u]){
cur[u][x] = 0;
}
}
/*Solution*/
void solve(){
cin >> n >> m;
int cnt = 0;
while (m--){
int u,v,w;
cin >> u >> v >> w;
if (w==0){
adj[u].push_back(v);
adj[v].push_back(u);
}
else{
t+=w;
edges.push_back({w,{u,v}});
}
}
DFS(1,0,1);
for (auto sus:edges){
int w = sus.fi;
int u = sus.se.fi;
int v = sus.se.se;
pii in = GetLCA(u,v);
int lca = in.fi;
int d = in.se;
// cout << d << endl;
if (d%2==0){
++cnt;
cost[cnt] = w;
s[u].push_back(cnt);
s[v].push_back(cnt);
e[lca].push_back(cnt);
}
}
// cout << t << endl;
m = cnt;
DP(1,0);
// for (int i=1; i<=n; i++){
// cout << "Node: " << i << endl;
// for (auto x:s[i]){
// cout << x << " ";
// }
// cout << endl;
// for (auto x:e[i]){
// cout << x << " ";
// }
// cout << endl << endl;
// }
// for (int u=1; u<=n; u++){
// cout << "Node: " << u << endl;
// for (int i=1; i<=m; i++) cout << dp[u][i] << " ";
// cout << endl;
// for (int i=1; i<=m; i++) cout << cur[u][i] << " ";
// cout << endl;
// for (int i=1; i<=m; i++) cout << done[u][i] << " ";
// cout << endl;
// cout << endl;
// }
int ans = 0;
for (int mask=0; mask<(1<<10); mask++){
ans = max(ans,bitmask[1][mask]);
}
cout << t-ans << endl;
}
/*Driver Code*/
signed main(){
freopen("training.inp","r",stdin);
freopen("training.out","w",stdout);
ios_base::sync_with_stdio(0);
cin.tie(0);
TestCases(0);
return 0;
}
Compilation message
training.cpp: In function 'int main()':
training.cpp:216:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
216 | freopen("training.inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
training.cpp:217:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
217 | freopen("training.out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
55 ms |
120184 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
59 ms |
120404 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
53 ms |
120364 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
54 ms |
120400 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
52 ms |
120232 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
52 ms |
120408 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
56 ms |
120436 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
51 ms |
120388 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
50 ms |
120400 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
50 ms |
120404 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
49 ms |
120180 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
