#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
pair<int, int> make_edge(int u, int v){
if (u <= v) return make_pair(u, v);
return make_pair(v, u);
}
struct DSU{
int n;
vector<int> parent, sz;
vector<vector<int>> ver;
vector<set<int>> S1, S2, drake;
set<pair<int, int>> pending_merge;
ll ans;
DSU(int _n){
n = _n;
parent.resize(n+1); sz.resize(n+1, 1);
S1.resize(n+1); S2.resize(n+1); drake.resize(n+1);
ver.resize(n+1);
for(int i = 1; i<=n; ++i) {
parent[i] = i;
ver[i].push_back(i);
}
ans = 0;
}
int find_set(int u){return (u == parent[u]) ? u : (parent[u] = find_set(parent[u]));}
bool same_set(int u, int v){return find_set(u) == find_set(v);}
bool join_set(int u, int v){
u = find_set(u), v = find_set(v);
ans += 2LL * sz[u] * sz[v];
S1[u].erase(v); S2[u].erase(v);
S1[v].erase(u); S2[v].erase(u);
ans -= 1LL * sz[v] * drake[v].size() + 1LL * sz[u] * drake[u].size();
if (u != v){
if (sz[u] < sz[v]) swap(u, v);
parent[v] = u;
sz[u] += sz[v];
vector<pair<int, int>> pending;
for(int i: S1[v]) {
S2[i].erase(v); S2[i].insert(u);
S1[u].insert(i);
if (S2[u].find(i) != S2[u].end()) pending_merge.insert({u, i});
}
for(int i: S2[v]){
S1[i].erase(v); S1[i].insert(u);
S2[u].insert(i);
if (S1[u].find(i) != S1[u].end()) pending_merge.insert({u, i});
}
for(int i: ver[v]) drake[u].erase(i);
ans += 1LL * sz[u] * drake[u].size();
for(int i: drake[v]) if (!same_set(u, i)) add_drake(u, i);
for(int i: ver[v]) ver[u].push_back(i);
return true;
}
return false;
}
void add_drake(int u, int v){
if (drake[u].insert(v).second) {
ans += get_size(u);
}
}
int get_size(int u){return sz[find_set(u)];}
ll get_ans(){return ans;}
void add_edge(int u, int v){
int _u = u;
u = find_set(u), v = find_set(v);
S1[u].insert(v); S2[v].insert(u);
add_drake(v, _u);
if (S2[u].find(v) != S2[u].end()) pending_merge.insert({u, v});
while(pending_merge.size()){
int x, y; tie(x, y) = *pending_merge.begin();
pending_merge.erase(pending_merge.begin());
join_set(x, y);
}
}
};
int main(void){
ios::sync_with_stdio(0);cin.tie(0); cout.tie(0);
clock_t start = clock();
int n, m; cin >> n >> m;
DSU mst(n);
for(int i = 0; i<m; ++i){
int u, v; cin >> u >> v;
if (!mst.same_set(u, v)) mst.add_edge(u, v);
ll ans = mst.get_ans();
cout << ans << "\n";
}
cerr << "Time elapsed: " << clock() - start << " ms\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
456 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
456 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
0 ms |
456 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
1 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
344 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
1 ms |
348 KB |
Output is correct |
8 |
Incorrect |
1 ms |
348 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |