#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int MAXN = 1e5;
const int MAXM = 3e5;
const int MAXK = 20;
int N, M, K;
struct Edge
{
int u, v, w;
};
Edge E[MAXM+10];
pii A[MAXK+10];
ll B[MAXN+10];
struct UF
{
int par[MAXN+10], sz[MAXN+10];
void init()
{
memset(par, -1, (N+1)<<2);
memset(sz, 0, (N+1)<<2);
}
inline int Find(int x)
{
if(-1==par[x]) return x;
return par[x]=Find(par[x]);
}
void Union(int x, int y)
{
x=Find(x); y=Find(y);
if(sz[x]>sz[y]) swap(x, y);
if(sz[x]==sz[y]) sz[y]++;
par[x]=y;
}
}uf, uf2;
ll ans, val=0;
vector<pii> adj2[MAXN+10];
vector<int> adj[MAXN+10];
int root[MAXN+10];
ll sz[MAXN+10];
vector<int> ST;
int col[MAXN+10];
ll D[MAXN+10];
int par2[MAXN+10];
int dep2[MAXN+10];
int Q[MAXN+10];
int main()
{
scanf("%d%d%d", &N, &M, &K);
for(register int i=1; i<=M; i++) scanf("%d%d%d", &E[i].u, &E[i].v, &E[i].w);
for(register int i=0; i<K; i++) scanf("%d%d", &A[i].first, &A[i].second);
for(register int i=1; i<=N; i++) scanf("%d", &B[i]);
sort(E+1, E+M+1, [&](const Edge &p, const Edge &q)
{
return p.w<q.w;
});
uf.init();
vector<Edge> EE;
for(register int i=1; i<=M; i++)
{
if(uf.Find(E[i].u)==uf.Find(E[i].v)) continue;
uf.Union(E[i].u, E[i].v);
EE.push_back(E[i]);
}
for(register int i=0; i<EE.size(); i++) E[i+1]=EE[i];
M=EE.size();
EE.clear();
assert(M==N-1);
for(register int i=1; i<=M; i++)
{
adj2[E[i].u].push_back({E[i].v, E[i].w});
adj2[E[i].v].push_back({E[i].u, E[i].w});
}
vector<int> VV;
VV.push_back(1);
for(register int i=0; i<K; i++)
{
VV.push_back(A[i].first);
VV.push_back(A[i].second);
}
sort(VV.begin(), VV.end());
VV.erase(unique(VV.begin(), VV.end()), VV.end());
sort(VV.begin(), VV.end());
uf.init();
for(auto it : VV) col[it]=it;
for(register int i=1; i<=N; i++) D[i]=B[i];
for(register int i=1; i<=M; i++)
{
if(col[uf.Find(E[i].u)] && col[uf.Find(E[i].v)])
{
EE.push_back(E[i]);
}
else
{
int p=uf.Find(E[i].u), q=uf.Find(E[i].v);
D[p]+=D[q];
uf.par[q]=p;
col[p]|=col[q];
}
}
for(auto &it : EE)
{
it.u=lower_bound(VV.begin(), VV.end(), col[uf.Find(it.u)])-VV.begin()+1;
it.v=lower_bound(VV.begin(), VV.end(), col[uf.Find(it.v)])-VV.begin()+1;
}
for(register int i=0; i<EE.size(); i++) E[i+1]=EE[i];
M=EE.size();
for(register int i=0; i<K; i++)
{
A[i].first=lower_bound(VV.begin(), VV.end(), A[i].first)-VV.begin()+1;
A[i].second=lower_bound(VV.begin(), VV.end(), A[i].second)-VV.begin()+1;
}
for(register int i=0; i<VV.size(); i++)
{
B[i+1]=D[uf.Find(VV[i])];
}
N=VV.size();
/*
printf("VV\n");
for(auto it : VV) printf("%d ", it); printf("\n");
printf("E\n");
for(register int i=1; i<=M; i++) printf("%d %d %d\n", E[i].u, E[i].v, E[i].w);
printf("B\n");
for(register int i=1; i<=N; i++) printf("%lld ", B[i]); printf("\n");
printf("A\n");
for(register int i=0; i<K; i++) printf("%d %d\n", A[i].first, A[i].second);
*/
assert(N<=100);
for(register int i=1; i<(1<<K); i++)
{
uf.init();
bool flag=true;
for(register int it=0; it<K; it++)
{
if(!(i&(1<<it))) continue;
if(uf.Find(A[it].first)==uf.Find(A[it].second))
{
flag=false;
break;
}
uf.Union(A[it].first, A[it].second);
adj[A[it].first].push_back(A[it].second);
adj[A[it].second].push_back(A[it].first);
}
if(!flag)
{
for(register int j=1; j<=N; j++) adj[j].clear();
continue;
}
uf2.init();
for(register int j=1; j<=N; j++) root[j]=j;
for(register int j=1; j<=M; j++)
{
if(uf.Find(E[j].u)==uf.Find(E[j].v))
{
Q[j]=1;
}
else
{
Q[j]=0;
uf.Union(E[j].u, E[j].v);
adj[E[j].u].push_back(E[j].v);
adj[E[j].v].push_back(E[j].u);
//printf("!%d %d %d\n", E[j].u, E[j].v, 0);
}
}
vector<pii> ST1;
vector<int> ST2;
ST1.reserve(N);
ST2.reserve(N);
ST1.push_back({1, 1});
ST2.push_back(0);
for(int i=1; i<=N; i++) sz[i]=B[i];
dep[1]=1;
while(!ST1.empty())
{
int now=ST1.back().first, bef=ST1.back().second;
int j=ST2.back();
par2[now]=bef;
if(j>=adj[now].size())
{
for(auto nxt : adj[now])
{
if(nxt==bef) continue;
sz[now]+=sz[nxt];
}
ST1.pop_back();
ST2.pop_back();
continue;
}
int nxt=adj[now][j];
if(nxt==bef) ST2[ST2.size()-1]++;
else
{
dep2[nxt]=dep2[now]+1;
ST2[ST2.size()-1]++;
ST1.push_back({nxt, now});
ST2.push_back(0);
}
}
val=0;
for(register int j=1; j<=M; j++)
{
if(Q[j])
{
int u=E[j].u, v=E[j].v;
u=root[uf2.Find(u)]; v=root[uf2.Find(v)];
while(u!=v)
{
if(dep2[u]>dep2[v]) swap(u, v);
val+=sz[v]*E[j].w;
int t2=root[uf2.Find(par2[v])];
uf2.Union(v, par2[v]);
root[uf2.Find(v)]=t2;
v=t2;
}
}
else
{
int uu=root[uf2.Find(E[j].u)], vv=root[uf2.Find(E[j].v)];
if(dep2[uu]>dep2[vv]) swap(uu, vv);
uf2.Union(vv, uu);
root[uf2.Find(vv)]=uu;
}
}
ans=max(ans, val);
for(register int j=1; j<=N; j++) vector<int>().swap(adj[j]);
}
printf("%lld\n", ans);
}
Compilation message
toll.cpp: In function 'int main()':
toll.cpp:68:43: warning: format '%d' expects argument of type 'int*', but argument 2 has type 'll*' {aka 'long long int*'} [-Wformat=]
68 | for(register int i=1; i<=N; i++) scanf("%d", &B[i]);
| ~^ ~~~~~
| | |
| | ll* {aka long long int*}
| int*
| %lld
toll.cpp:83:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Edge>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
83 | for(register int i=0; i<EE.size(); i++) E[i+1]=EE[i];
| ~^~~~~~~~~~
toll.cpp:130:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Edge>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
130 | for(register int i=0; i<EE.size(); i++) E[i+1]=EE[i];
| ~^~~~~~~~~~
toll.cpp:139:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
139 | for(register int i=0; i<VV.size(); i++)
| ~^~~~~~~~~~
toll.cpp:206:3: error: 'dep' was not declared in this scope; did you mean 'dep2'?
206 | dep[1]=1;
| ^~~
| dep2
toll.cpp:213:8: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
213 | if(j>=adj[now].size())
| ~^~~~~~~~~~~~~~~~~
toll.cpp:65:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
65 | scanf("%d%d%d", &N, &M, &K);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~
toll.cpp:66:40: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
66 | for(register int i=1; i<=M; i++) scanf("%d%d%d", &E[i].u, &E[i].v, &E[i].w);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:67:39: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
67 | for(register int i=0; i<K; i++) scanf("%d%d", &A[i].first, &A[i].second);
| ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
toll.cpp:68:40: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
68 | for(register int i=1; i<=N; i++) scanf("%d", &B[i]);
| ~~~~~^~~~~~~~~~~~~
