// Om Namah Shivaya
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x, y) ((x + y - 1) / (y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i, n) for(int i = 0; i < n; ++i)
#define rep1(i, n) for(int i = 1; i <= n; ++i)
#define rev(i, s, e) for(int i = s; i >= e; --i)
#define trav(i, a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a, b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a, b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
refs:
https://bigprimes.org/ (for generating big prime MOD)
sol idea:
dsu + multiset hashing
*/
const ll MOD = 964863244005699737;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
struct DSU {
vector<int> par, rankk, siz;
vector<ll> hsh;
unordered_map<ll, ll> hashes;
ll cnt = 0;
DSU() {
}
DSU(int n) {
init(n);
}
void init(int n) {
par = vector<int>(n + 1);
rankk = vector<int>(n + 1);
siz = vector<int>(n + 1);
hsh = vector<ll>(n + 1);
rep(i, n + 1) create(i);
}
void create(int u) {
par[u] = u;
rankk[u] = 0;
siz[u] = 1;
}
int find(int u) {
if (u == par[u]) return u;
else return par[u] = find(par[u]);
}
bool same(int u, int v) {
return find(u) == find(v);
}
void merge(int u, int v) {
u = find(u), v = find(v);
if (u == v) return;
if (rankk[u] == rankk[v]) rankk[u]++;
if (rankk[u] < rankk[v]) swap(u, v);
par[v] = u;
cnt -= siz[u] * hashes[MOD - hsh[u]];
hashes[hsh[u]] -= siz[u];
cnt -= siz[v] * hashes[MOD - hsh[v]];
hashes[hsh[v]] -= siz[v];
hsh[u] = (hsh[u] + hsh[v]) % MOD;
siz[u] += siz[v];
cnt += siz[u] * hashes[MOD - hsh[u]];
hashes[hsh[u]] += siz[u];
}
};
void solve(int test_case)
{
ll n, q; cin >> n >> q;
vector<ll> a(n + 5);
rep1(i, n) cin >> a[i];
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_int_distribution<ll> dist(1, MOD - 1);
auto b = a;
sort(b.begin() + 1, b.begin() + n + 1);
map<ll, ll> mp;
rep1(i, n) {
if (mp.count(a[i])) conts;
mp[a[i]] = dist(rng);
}
DSU dsu(n + 5);
rep1(i, n) {
ll v = (mp[a[i]] - mp[b[i]] + MOD) % MOD;
dsu.hsh[i] = v;
dsu.cnt += dsu.hashes[MOD - v];
dsu.hashes[v]++;
}
while (q--) {
ll t; cin >> t;
if (t == 1) {
ll u, v; cin >> u >> v;
ll pu = dsu.find(u), pv = dsu.find(v);
dsu.cnt -= dsu.siz[pu] * dsu.hashes[MOD - dsu.hsh[pu]];
dsu.hashes[dsu.hsh[pu]] -= dsu.siz[pu];
dsu.hsh[pu] += mp[a[v]] - mp[a[u]];
dsu.hsh[pu] = (dsu.hsh[pu] % MOD + MOD) % MOD;
dsu.cnt += dsu.siz[pu] * dsu.hashes[MOD - dsu.hsh[pu]];
dsu.hashes[dsu.hsh[pu]] += dsu.siz[pu];
dsu.cnt -= dsu.siz[pv] * dsu.hashes[MOD - dsu.hsh[pv]];
dsu.hashes[dsu.hsh[pv]] -= dsu.siz[pv];
dsu.hsh[pv] += mp[a[u]] - mp[a[v]];
dsu.hsh[pv] = (dsu.hsh[pv] % MOD + MOD) % MOD;
dsu.cnt += dsu.siz[pv] * dsu.hashes[MOD - dsu.hsh[pv]];
dsu.hashes[dsu.hsh[pv]] += dsu.siz[pv];
swap(a[u], a[v]);
}
else if (t == 2) {
ll u, v; cin >> u >> v;
dsu.merge(u, v);
}
else if (t == 3) {
if (dsu.hashes[0] == n) cout << "DA" << endl;
else cout << "NE" << endl;
}
else {
ll ans = dsu.cnt;
cout << ans << endl;
}
}
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
212 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
212 KB |
Output is correct |
| 2 |
Correct |
1 ms |
212 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
324 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
2 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
328 KB |
Output is correct |
| 2 |
Correct |
1 ms |
340 KB |
Output is correct |
| 3 |
Correct |
1 ms |
340 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
4 ms |
724 KB |
Output is correct |
| 2 |
Correct |
5 ms |
760 KB |
Output is correct |
| 3 |
Correct |
5 ms |
724 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
45 ms |
4188 KB |
Output is correct |
| 2 |
Correct |
68 ms |
5284 KB |
Output is correct |
| 3 |
Correct |
86 ms |
7220 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
841 ms |
30436 KB |
Output is correct |
| 2 |
Correct |
2173 ms |
99524 KB |
Output is correct |
| 3 |
Correct |
2475 ms |
121120 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1164 ms |
63580 KB |
Output is correct |
| 2 |
Correct |
1707 ms |
79608 KB |
Output is correct |
| 3 |
Correct |
1303 ms |
77644 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
752 ms |
41808 KB |
Output is correct |
| 2 |
Correct |
1166 ms |
65916 KB |
Output is correct |
| 3 |
Correct |
1260 ms |
77524 KB |
Output is correct |
