| # |
Submission time |
Handle |
Problem |
Language |
Result |
Execution time |
Memory |
| 945154 |
2024-03-13T12:54:19 Z |
parlimoos |
Toll (APIO13_toll) |
C++17 |
|
106 ms |
163840 KB |
//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;
vector<arr(3)> mst , cnds;
vector<int> a , g[100000];
vector<arr(2)> adds;
vector<array<ll , 3>> bckdsu;
ll dsu[100000][2] , mem[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;
bckdsu.pb({v , dsu[v][0] , dsu[v][1]});
return (dsu[v][0] = findDsu(dsu[v][0]));
}
void uDsu(int a , int b){
a = findDsu(a) , b = findDsu(b);
if(a == b) return;
bckdsu.pb({a , dsu[a][0] , dsu[a][1]}) , bckdsu.pb({b , dsu[b][0] , dsu[b][1]});
dsu[a][1] += dsu[b][1] , dsu[b][0] = a;
}
void clDsu(){
for(int i = (int)bckdsu.size() - 1 ; i >= 0 ; i--){
dsu[bckdsu[i][0]][0] = bckdsu[i][1];
dsu[bckdsu[i][0]][1] = bckdsu[i][2];
}
bckdsu.cl();
}
void getCnds(){
for(auto e : adds) uDsu(e[0] , e[1]);
for(auto e : mst){
if(findDsu(e[1]) == findDsu(e[2])) cnds.pb(e);
else uDsu(e[1] , e[2]);
}
clDsu();
for(auto e : mst){
if(!(binary_search(cnds.bg() , cnds.end() , e))) uDsu(e[1] , e[2]);
}
bckdsu.cl();
}
bool jg(int e , int msk , int c){
for(int i = 0 ; i < k ; i++){
if(i == e or !((msk >> i) & 1)) continue;
uDsu(adds[i][0] , adds[i][1]);
}
bool res = 1;
for(auto ee : cnds){
if(ee[0] >= c){
if(findDsu(adds[e][0]) == findDsu(adds[e][1])) res = 0;
clDsu();
return res;
}
uDsu(ee[1] , ee[2]);
}
if(findDsu(adds[e][0]) == findDsu(adds[e][1])) res = 0;
clDsu();
return res;
}
int bs(int e , int msk){
int l = 0 , r = int(1e6) + 1;
while(r - l - 1 > 1){
int c = l + (r - l - 1) / 2 + 1;
if(jg(e , msk , c)) l = c - 1;
else r = c;
}
if(r - l - 1 == 1){
if(jg(e , msk , l + 1)) return l + 1;
}
return l;
}
ll dfs1(int v , int p , int msk){
ll res = 0;
mem[v] = dsu[v][1];
for(int e = 0 ; e < k ; e++){
if(!((msk >> e) & 1)) continue;
if(findDsu(adds[e][0]) != v and findDsu(adds[e][1]) != v) continue;
int u = findDsu(adds[e][0]) + findDsu(adds[e][1]) - v;
if(findDsu(adds[e][0]) == findDsu(adds[e][1])) return 0;
if(u == p) continue;
res += dfs1(u , v , msk) , mem[v] += mem[u];
ll d = bs(e , msk);
res += d * mem[u];
}
return res;
}
ll getCst(int msk){
vector<arr(3)> uss;
for(int e = 0 ; e < k ; e++){
if(!((msk >> e) & 1)) continue;
uDsu(adds[e][0] , adds[e][1]);
}
for(auto e : cnds){
if(findDsu(e[1]) == findDsu(e[2])) continue;
uss.pb(e);
}
clDsu();
for(auto e : uss) uDsu(e[1] , e[2]);
ll res = dfs1(findDsu(0) , -1 , msk);
clDsu();
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());
int cnt = 0;
for(auto e : es){
if(findDsu(e[1]) == findDsu(e[2])) continue;
mst.pb(e) , uDsu(e[1] , e[2]);
g[e[2]].pb(cnt) , g[e[1]].pb(cnt++);
}
// exit(0);
clDsu() , getCnds();
cout << f();
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4952 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4952 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Runtime error |
106 ms |
163840 KB |
Execution killed with signal 9 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4952 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Runtime error |
106 ms |
163840 KB |
Execution killed with signal 9 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4952 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Runtime error |
106 ms |
163840 KB |
Execution killed with signal 9 |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
4952 KB |
Output is correct |
| 2 |
Correct |
1 ms |
4956 KB |
Output is correct |
| 3 |
Runtime error |
106 ms |
163840 KB |
Execution killed with signal 9 |
| 4 |
Halted |
0 ms |
0 KB |
- |
