//Be Name KHODA
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
#define pb push_back
#define pp pop_back
#define lb lower_bound
#define ub upper_bound
#define cl clear
#define bg begin
#define arr(x) array<int , x>
#define endl '\n'
int n , m , k , ps[21] , tms[21][2];
vector<arr(3)> mst , cnds , dts;
vector<ll> a;
vector<int> g[21];
vector<arr(2)> adds;
ll dsu[100000][2] , mem[21];
bool iscnd[100000];
void init(){
for(int v = 0 ; v < n ; v++) dsu[v][0] = -1 , dsu[v][1] = a[v];
}
int findDsu(int v){
if(dsu[v][0] == -1) return v;
return (dsu[v][0] = findDsu(dsu[v][0]));
}
void uDsu(int b , int a){
a = findDsu(a) , b = findDsu(b);
if(a == b) return;
dsu[a][1] += dsu[b][1] , dsu[b][0] = a;
}
void getCnds(){
for(auto &e : adds) uDsu(e[0] , e[1]);
int cnt = 0;
for(int e = 0 ; e < n - 1 ; e++){
if(findDsu(mst[e][1]) == findDsu(mst[e][2])) cnds.pb(mst[e]) , iscnd[e] = 1;
else uDsu(mst[e][1] , mst[e][2]);
}
init();
for(int e = 0 ; e < n - 1 ; e++){
if(!iscnd[e]) uDsu(mst[e][1] , mst[e][2]);
}
int inxs[100000];
cnt = 0;
for(int v = 0 ; v < n ; v++){
if(findDsu(v) != v) continue;
inxs[v] = cnt , a[cnt++] = dsu[v][1];
}
for(auto &e : cnds) e[1] = inxs[findDsu(e[1])] , e[2] = inxs[findDsu(e[2])] , dts.pb({0 , e[1] , e[2]});
for(auto &e : adds) e[0] = inxs[findDsu(e[0])] , e[1] = inxs[findDsu(e[1])] , dts.pb({int(1e9) , e[0] , e[1]});
n = cnt , init();
}
int timer = -1;
void dfs1(int v = 0 , int p = -1){
ps[v] = p , tms[v][0] = ++timer;
for(int e : g[v]){
if(e == p) continue;
int u = dts[e][1] + dts[e][2] - v;
dfs1(u , e);
}
tms[v][1] = timer;
}
void setMn(int v1 , int v2 , int val){
int u = v1;
while(tms[u][0] > tms[v2][0] or tms[u][1] < tms[v2][0]){
dts[ps[u]][0] = min(dts[ps[u]][0] , val);
u = dts[ps[u]][1] + dts[ps[u]][2] - u;
}
u = v2;
while(tms[u][0] > tms[v1][0] or tms[u][1] < tms[v1][0]){
dts[ps[u]][0] = min(dts[ps[u]][0] , val);
u = dts[ps[u]][1] + dts[ps[u]][2] - u;
}
}
ll dfs2(int v = 0){
ll res = 0;
mem[v] = a[v];
for(int e : g[v]){
if(e == ps[v]) continue;
int u = dts[e][1] + dts[e][2] - v;
res += dfs2(u) , mem[v] += mem[u];
res += (1ll * dts[e][0]) * mem[u];
}
return res;
}
ll getCst(int msk){
ll res;
for(int e = 0 ; e < k ; e++){
if(!((msk >> e) & 1)) continue;
int r1 = findDsu(adds[e][0]) , r2 = findDsu(adds[e][1]);
if(r1 == r2){
init();
return 0;
}
uDsu(r1 , r2);
}
for(int e = 0 ; e < k ; e++){
if(!((msk >> e) & 1)) continue;
g[adds[e][0]].pb((int)cnds.size() + e) , g[adds[e][1]].pb((int)cnds.size() + e);
}
vector<arr(3)> uss;
for(int e = 0 ; e < (int)cnds.size() ; e++){
int r1 = findDsu(cnds[e][1]) , r2 = findDsu(cnds[e][2]);
if(r1 == r2) uss.pb(cnds[e]);
else{
uDsu(r1 , r2);
g[cnds[e][1]].pb(e) , g[cnds[e][2]].pb(e);
}
}
timer = -1 , dfs1();
for(auto &e : uss) setMn(e[1] , e[2] , e[0]);
res = dfs2();
for(int e = (int)cnds.size() ; e < (int)cnds.size() + k ; e++) dts[e][0] = int(1e9);
for(int i = 0 ; i < n ; i++) g[i].cl();
init();
return res;
}
ll f(){
ll res = 0;
for(int msk = 1 ; msk < (1 << k) ; msk++){
res = max(res , getCst(msk));
}
return res;
}
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cin >> n >> m >> k;
vector<arr(3)> es;
for(int i = 0 ; i < m ; i++){
int v , u , c;
cin >> v >> u >> c;
v-- , u--;
es.pb({c , v , u});
}
for(int i = 0 ; i < k ; i++){
int v , u;
cin >> v >> u;
adds.pb({v - 1 , u - 1});
}
for(int i = 0 ; i < n ; i++){
int d;
cin >> d;
a.pb(d);
}
init();
sort(es.bg() , es.end());
for(auto e : es){
if(findDsu(e[1]) == findDsu(e[2])) continue;
mst.pb(e) , uDsu(e[1] , e[2]);
}
init() , getCnds();
cout << f();
}
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
604 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
604 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| 3 |
Correct |
1 ms |
604 KB |
Output is correct |
| 4 |
Incorrect |
1 ms |
604 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
604 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| 3 |
Correct |
1 ms |
604 KB |
Output is correct |
| 4 |
Incorrect |
1 ms |
604 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
604 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| 3 |
Correct |
1 ms |
604 KB |
Output is correct |
| 4 |
Incorrect |
1 ms |
604 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
604 KB |
Output is correct |
| 2 |
Correct |
1 ms |
604 KB |
Output is correct |
| 3 |
Correct |
1 ms |
604 KB |
Output is correct |
| 4 |
Incorrect |
1 ms |
604 KB |
Output isn't correct |
| 5 |
Halted |
0 ms |
0 KB |
- |
