# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
212017 | Mercenary | Making Friends on Joitter is Fun (JOI20_joitter2) | C++14 | 686 ms | 50800 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/trie_policy.hpp>
#define pb push_back
#define mp make_pair
#define taskname "A"
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef double ld;
typedef pair<int,int> ii;
typedef tree <int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
const int maxn = 1e5 + 5;
const int mod = 1e9 + 7;
int n , m;
ll res = 0;
int lab[maxn];
set<int> in[maxn],out[maxn];
vector<int> node[maxn];
int FindLab(int u){return lab[u] < 0 ? u : lab[u] = FindLab(lab[u]);}
void Merge(int u , int v){
u = FindLab(u);v = FindLab(v);
if(u == v)return;
res -= (ll)in[u].size() * node[u].size();
res -= (ll)in[v].size() * node[v].size();
res -= (ll)node[u].size() * ((int)node[u].size() - 1);
res -= (ll)node[v].size() * ((int)node[v].size() - 1);
if(in[u].size() + out[u].size() + node[u].size() < in[v].size() + out[v].size() + node[v].size())
swap(u , v);
lab[u] += lab[v];
lab[v] = u;
for(auto & c : node[v]){
node[u].pb(c);
in[u].erase(c);
}
vector<int> add;
for(auto & c : in[v]){
if(FindLab(c) != u){
out[FindLab(c)].erase(v);
out[FindLab(c)].insert(u);
in[u].insert(c);
if(out[u].find(FindLab(c)) != out[u].end()){
add.pb(c);
}
}
}
for(auto & c : out[v]){
if(FindLab(c) != u){
out[u].insert(c);
if(out[c].find(u) != out[c].end()){
add.pb(c);;
}
}
}
out[u].erase(v);
res += (ll)in[u].size() * node[u].size();
res += (ll)node[u].size() * ((int)node[u].size() - 1);
for(auto c : add){
Merge(u,c);
}
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
if(fopen(taskname".INP","r")){
freopen(taskname".INP", "r",stdin);
freopen(taskname".OUT", "w",stdout);
}
cin >> n >> m;
for(int i = 1 ; i <= n ; ++i){
lab[i] = -1;node[i].pb(i);
}
for(int i = 1 ; i <= m ; ++i){
int u , v;cin >> u >> v;
if(FindLab(u) != FindLab(v)){
if(out[FindLab(v)].find(FindLab(u)) != out[FindLab(v)].end()){
Merge(u,v);
}else if(in[FindLab(v)].find(u) == in[FindLab(v)].end()){
in[FindLab(v)].insert(u);
res += node[FindLab(v)].size();
out[FindLab(u)].insert(FindLab(v));
}
}
cout << res << '\n';
}
}
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