#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll,ll>
#define ff first
#define ss second
#define pb push_back
#define endl "\n"
mt19937 rnd(chrono::steady_clock::now().time_since_epoch().count());
const ll maxn=1e5+10;
const ll maxn1=1e5+10;
const ll mod=1e9+7 ;
const ll base=3e18;
/// i believe myself
/// goal 2/7
ll par[maxn];
ll find_par(ll u)
{
if (par[u]<0)
return u;
return par[u]=find_par(par[u]);
}
bool dsu(ll x,ll y)
{
x=find_par(x);
y=find_par(y);
if (x==y)
return false;
if (par[x]>par[y])
swap(x,y);
par[x]+=par[y];
par[y]=x;
return true;
}
ll x[23];
ll y[23];
ll p[maxn];
ll id[maxn];
ll val[23];
vector<pll> adj[23];
bool chk1[23];
ll siz[23];
ll anc[23];
ll dep[23];
ll mx[23];
void dfs(ll u,ll par)
{
anc[u]=par;
siz[u]=val[u];
for (auto p:adj[u])
{
ll to=p.ff;
if (to==par) continue;
dep[to]=dep[u]+1;
dfs(to,u);
siz[u]+=siz[to];
}
}
/*
5 5 1
3 5 2
1 2 3
2 3 5
2 4 4
4 3 6
1 3
10 20 30 40 50
*/
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
if (fopen("t.inp","r"))
{
freopen("test.inp","r",stdin);
freopen("test.out","w",stdout);
}
ll n, m, k;
cin>> n>> m>> k;
vector<pair<ll,pll>> vt;
vector<pair<ll,pll>> vt1,vt3;
for (int i=1;i<=m;i++)
{
ll x, y, w;
cin>> x>> y>> w;
vt.pb(make_pair(w,make_pair(x,y)));
}
memset(par,-1,sizeof(par));
for (int t=0;t<k;t++)
{
cin>> x[t]>>y[t];
dsu(x[t],y[t]);
}
for (int i=1;i<=n;i++)
{
cin>> p[i];
}
sort(vt.begin(),vt.end());
vector<pll> vt2;
for (auto to:vt)
{
auto p=to.ss;
if (dsu(p.ff,p.ss))
{
vt2.pb(p);
}
else
{
vt1.pb(to);
}
}
memset(par,-1,sizeof(par));
for (auto to:vt2)
{
dsu(to.ff,to.ss);
}
for (auto to:vt1)
{
if (dsu(to.ss.ff,to.ss.ss))
{
vt3.pb(to);
}
}
memset(par,-1,sizeof(par));
for (auto to:vt2)
{
dsu(to.ff,to.ss);
}
ll cntn=0;
for (int i=1;i<=n;i++)
{
if (i==find_par(i))
{
id[i]=cntn;
cntn++;
}
}
for (int i=1;i<=n;i++)
{
val[id[find_par(i)]]+=p[i];
}
/*cout <<cntn<<endl;
for (int i=1;i<=n;i++)
{
cout <<i<<" "<<find_par(i)<<" "<<id[find_par(i)]<<" chk1"<<endl;
}*/
ll rt=id[find_par(1)];
//cout <<rt<<" chk1"<<endl;
for (int i=0;i<k;i++)
{
x[i]=id[find_par(x[i])];
y[i]=id[find_par(y[i])];
}
for (int i=0;i<vt3.size();i++)
{
vt3[i].ss.ff=id[find_par(vt3[i].ss.ff)];
vt3[i].ss.ss=id[find_par(vt3[i].ss.ss)];
}
n=cntn;
m=vt3.size();
ll res=0;
for (int t=0;t<(1ll<<k);t++)
{
for (int p=0;p<n;p++) par[p]=-1,mx[p]=base;
bool chk=true;
for (int i=0;i<k;i++)
{
if (t&(1ll<<i))
{
if (dsu(x[i],y[i]))
{
adj[x[i]].pb(make_pair(y[i],1));
adj[y[i]].pb(make_pair(x[i],1));
}
else
{
chk=false;
break;
}
}
}
if (!chk)
{
for (int i=0;i<n;i++) adj[i].clear();
continue;
}
for (int i=0;i<m;i++)
{
auto p=vt3[i].ss;
if (dsu(p.ff,p.ss))
{
adj[p.ff].pb(make_pair(p.ss,0));
adj[p.ss].pb(make_pair(p.ff,0));
}
else
{
chk1[i]=1;
}
}
dep[rt]=0;
dfs(rt,-1);
for (int i=0;i<m;i++)
{
if (chk1[i])
{
auto p=vt3[i].ss;
ll u=p.ff;
ll v=p.ss;
while (u!=v)
{
if (dep[u]<dep[v]) swap(u,v);
mx[u]=min(mx[u],vt3[i].ff);
u=anc[u];
}
}
chk1[i]=0;
}
ll ans=0;
for (int i=0;i<n;i++)
{
for (auto p:adj[i])
{
if (p.ff==anc[i]||p.ss==0) continue;
ans+=((siz[p.ff])*mx[p.ff]);
}
adj[i].clear();
}
res=max(res,ans);
}
cout <<res<<endl;
}
Compilation message
toll.cpp: In function 'int main()':
toll.cpp:161:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<long long int, std::pair<long long int, long long int> > >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
161 | for (int i=0;i<vt3.size();i++)
| ~^~~~~~~~~~~
toll.cpp:81:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
81 | freopen("test.inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
toll.cpp:82:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
82 | freopen("test.out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1108 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 3 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1108 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 3 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 5 |
Correct |
4 ms |
1548 KB |
Output is correct |
| 6 |
Correct |
3 ms |
1560 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 3 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 5 |
Correct |
4 ms |
1548 KB |
Output is correct |
| 6 |
Correct |
3 ms |
1560 KB |
Output is correct |
| 7 |
Correct |
173 ms |
23284 KB |
Output is correct |
| 8 |
Correct |
186 ms |
23160 KB |
Output is correct |
| 9 |
Correct |
167 ms |
23172 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 2 |
Correct |
1 ms |
1108 KB |
Output is correct |
| 3 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
2 ms |
1108 KB |
Output is correct |
| 5 |
Correct |
4 ms |
1548 KB |
Output is correct |
| 6 |
Correct |
3 ms |
1560 KB |
Output is correct |
| 7 |
Correct |
173 ms |
23284 KB |
Output is correct |
| 8 |
Correct |
186 ms |
23160 KB |
Output is correct |
| 9 |
Correct |
167 ms |
23172 KB |
Output is correct |
| 10 |
Correct |
975 ms |
23272 KB |
Output is correct |
| 11 |
Correct |
1399 ms |
23608 KB |
Output is correct |
| 12 |
Correct |
1390 ms |
23248 KB |
Output is correct |
