#include<iostream>
#include<algorithm>
#include<iomanip>
#include<cmath>
#include<cstring>
#include<vector>
#include<queue>
#include<stack>
#include<tuple>
#include<set>
#include<map>
#include<random>
#include<chrono>
#include<array>
#include<unordered_map>
using namespace std;
const int MAX_N=1e3+3;
const int MAX_M=5e3+3;
const int MASK=(1<<10);
const int LOG=10;
int calc[MAX_N][MAX_N];
int dp[MAX_N][MASK];
int idx[MAX_M];
int pointspath[MAX_M][2][2];
int cost[MAX_M];
vector<int>edges[MAX_N];
vector<int>g[MAX_N];
int par[MAX_N][LOG];
int endss[MAX_M][2];
int in[MAX_N];
int out[MAX_N];
int ver[MAX_N];
int d[MAX_N];
int T;
int n,m;
int sumedges;
void dfs(int u)
{
in[u]=++T;
ver[T]=u;
int sz=0;
for(int v:g[u])
{
if(v==par[u][0])continue;
par[v][0]=u;
d[v]=d[u]+1;
idx[v]=sz++;
dfs(v);
}
out[u]=T;
}
int lca(int u,int v)
{
if(d[u]>d[v])swap(u,v);
for(int j=LOG-1;j>=0;j--)
{
if(d[v]-(1<<j)>=d[u])
{
v=par[v][j];
}
}
if(u==v)return u;
for(int j=LOG-1;j>=0;j--)
{
if(par[v][j]!=par[u][j])
{
v=par[v][j];
u=par[u][j];
}
}
return par[u][0];
}
void precompute()
{
dfs(1);
for(int j=1;j<LOG;j++)
{
for(int i=1;i<=n;i++)
{
par[i][j]=par[par[i][j-1]][j-1];
}
}
for(int i=1;i<=m;i++)
{
if(!cost[i])continue;
int u=endss[i][0],v=endss[i][1];
int LCA=lca(u,v);
if((d[u]+d[v]-2*d[LCA])%2==1)continue;
edges[LCA].push_back(i);
pointspath[i][0][0]=u;
while(u!=LCA && par[u][0]!=LCA)u=par[u][0];
pointspath[i][0][1]=u;
pointspath[i][1][0]=v;
while(v!=LCA && par[v][0]!=LCA)v=par[v][0];
pointspath[i][1][1]=v;
}
}
void read()
{
cin>>n>>m;
for(int i=1;i<=m;i++)
{
int u,v,c;
cin>>u>>v>>c;
sumedges+=c;
cost[i]=c;
if(c==0)
{
g[u].push_back(v);
g[v].push_back(u);
}
else
{
endss[i][0]=u;
endss[i][1]=v;
}
}
}
void DFS(int u)
{
for(int v:g[u])
{
if(v==par[u][0])continue;
DFS(v);
}
int sz=g[u].size()-(par[u][0]!=0);
for(int mask=1;mask<(1<<sz);mask++)
{
for(int edge:edges[u])
{
int cur=0,nmask=mask;
bool val=1;
for(int f=0;f<2;f++)
{
if(pointspath[edge][f][1]!=u)
{
if(((1<<idx[pointspath[edge][f][1]])&mask)==0)val=0;
nmask&= ~(1<<idx[pointspath[edge][f][1]]);
}
cur+=calc[pointspath[edge][f][0]][pointspath[edge][f][1]];
}
cur+=dp[u][nmask];
if(val)dp[u][mask]=max(dp[u][mask],cur+cost[edge]);
}
}
for(int v:g[u])
{
if(v==par[u][0])continue;
for(int pos=in[v];pos<=out[v];pos++)
{
int vert=ver[pos];
calc[vert][u]=calc[vert][v]+dp[u][((1<<sz)-1) & ~(1<<idx[v])];
}
}
calc[u][u]=dp[u][(1<<sz)-1];
}
void solve()
{
DFS(1);
int ans=sumedges-dp[1][(1<<(g[1].size()))-1];
cout<<ans<<"\n";
}
signed main ()
{
ios_base::sync_with_stdio(0);
cin.tie(NULL);
cout.tie(NULL);
read();
precompute();
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
604 KB |
Output is correct |
2 |
Incorrect |
0 ms |
604 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
860 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
5 ms |
6236 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
0 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
0 ms |
604 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
860 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
1884 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
3164 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
4 ms |
5468 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
8 ms |
2652 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
6 ms |
5208 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |