#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using node=tuple<int, int, int, int, int, int, int>;
const int N=2e5+13;
ll ans;
stack<node> roll;
map<int, int> h[N];
struct DSU{
int par[N];
int sz[N];
void init(int sus){
for(int i=1; i<=sus; i++){
par[i]=i;
sz[i]=1;
}
}
int f(int v){
if(par[v]==v) return v;
return f(par[v]);
}
void uni(int x, int y){
int Ru=f(x);
int Rv=f(y);
if(Ru!=Rv){
if(sz[Ru] < sz[Rv]) swap(Ru, Rv);
roll.push({Ru, Rv, ans, sz[Ru], sz[Rv], par[Ru], par[Rv]});
ans -= sz[Ru] * (sz[Ru]-1)/2;
ans -= sz[Rv] * (sz[Rv]-1)/2;
par[Rv]=Ru;
sz[Ru] += sz[Rv];
ans += sz[Ru] * (sz[Ru]-1)/2;
}
else roll.push({-1, -1, -1, -1, -1, -1, -1});
}
void rollback(){
node tmp=roll.top();
roll.pop();
int x=get<0>(tmp);
int y=get<1>(tmp);
if(x==-1) return;
//cerr << sz[x] << '\n';
ans -= sz[x]*(sz[x]-1)/2;
//cerr << ans << '\n';
sz[x]=get<3>(tmp);
sz[y]=get<4>(tmp);
ans += sz[x]*(sz[x]-1)/2;
ans += sz[y]*(sz[y]-1)/2;
//cerr << ans << '\n';
par[x]=get<5>(tmp);
par[y]=get<6>(tmp);
//cerr << ans << '\n';
}
};
struct E{
int x, y;
ll w;
bool operator < (const E& o) const{
return w < o.w;
}
};
int k, n, m, p;
E a[N];
E b[N];
int op[N];
ll res=1e18;
DSU dsu_a, dsu_b;
void scan(){
cin >> p >> n >> m >> k;
for(int i=1; i<=n; i++){
cin >> a[i].x >> a[i].y >> a[i].w;
}
for(int i=1; i<=m; i++){
cin >> b[i].x >> b[i].y >> b[i].w;
}
sort(a+1, a+n+1);
sort(b+1, b+m+1);
dsu_a.init(p);
dsu_b.init(p);
for(int i=1; i<=m; i++){
dsu_b.uni(b[i].x, b[i].y);
/*for(int i=1; i<=p; i++){
cout << dsu_b.par[i] << ' ';
}
cout << '\n';*/
}
for(int i=1; i<=p; i++){
h[i][dsu_b.par[i]]++;
}
}
inline ll sus(ll val){
return val*(val-1)/2;
}
void add(int x, int y){
ans -= sus(h[dsu_a.f(x)][dsu_b.f(x)]);
ans -= sus(h[dsu_a.f(y)][dsu_b.f(y)]);
h[dsu_a.f(x)][dsu_b.f(x)]--;
h[dsu_a.f(y)][dsu_b.f(y)]--;
dsu_a.uni(x, y);
h[dsu_a.f(x)][dsu_b.f(x)]+=2;
ans += sus(h[dsu_a.f(x)][dsu_b.f(x)]);
}
void rollback(int x, int y){
ans -= sus(h[dsu_a.f(x)][dsu_b.f(x)]);
h[dsu_a.f(x)][dsu_b.f(x)]-=2;
dsu_b.rollback();
//cerr << ans << '\n';
ans += sus(h[dsu_a.f(x)][dsu_b.f(x)]);
ans += sus(h[dsu_a.f(y)][dsu_b.f(y)]);
h[dsu_a.f(x)][dsu_b.f(x)]++;
h[dsu_a.f(y)][dsu_b.f(y)]++;
}
void solve(){
int i=1;
while(i<=n && ans < k){
add(a[i].x, a[i].y);
}
if(ans>=k) res=min(res, b[m].w + a[i-1].w);
for(int j=m-1; j>=m-1; j--){
rollback(b[j+1].x, b[j+1].y);
while(i<=n && ans < k){
add(a[i].x, a[i].y);
++i;
}
if(ans>=k) res=min(res, b[j].w + a[i-1].w);
}
cout << res;
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
scan();
solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
11612 KB |
Output is correct |
2 |
Runtime error |
15 ms |
31620 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Incorrect |
94 ms |
34900 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
16 ms |
27740 KB |
Execution killed with signal 11 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
11612 KB |
Output is correct |
2 |
Runtime error |
15 ms |
31620 KB |
Execution killed with signal 11 |
3 |
Halted |
0 ms |
0 KB |
- |