This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include <ext/pb_ds/tree_policy.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define FOR(i,start,end) for(int i=start;i<(int)(end);i++)
#define FORE(i,start,end) for(int i=start;i<=(int)end;i++)
#define RFOR(i,start,end) for(int i = start; i>end; i--)
#define RFORE(i,start,end) for(int i = start; i>=end; i--)
#define all(a) a.begin(), a.end()
#define mt make_tuple
#define v vector
#define sf scanf
#define pf printf
#define dvar(x) cout << #x << " := " << x << "\n"
#define darr(x,n) FOR(i,0,n) cout << #x << "[" << i << "]" << " := " << x[i] << "\n"
typedef long long ll;
typedef long double ld;
typedef pair<int, int > pii;
typedef pair<ll, ll> pll;
const ll MOD = 1000000007LL;
const ll PRIME = 105943LL;
const ll INF = 1e18;
//template <class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T> void minn(T &a, T b) { a = min(a, b); }
template<class T> void maxx(T &a, T b) { a = max(a, b); }
void io() {
#ifdef LOCAL_PROJECT
freopen("input.in", "r", stdin); freopen("output.out", "w", stdout);
#else
/* online submission */
#endif
ios_base::sync_with_stdio(false); cin.tie(NULL);
}
/**************************COCI 2016-2017 Contest 2 Problem 5 *************************/
ll modd(ll x) {
x %= MOD;
x += MOD;
x %= MOD;
return x;
}
ll expo[1000001];
struct Hash {
ll val = 0;
int sze = 0;
Hash() {
}
Hash(int p) {
assert(p >= 0);
if (p == 0) val = 0;
else val = (expo[p]);
sze++;
}
int size() {
return sze;
}
void removeElement(int x) {
val -= expo[x];
val = modd(val);
}
void addElement(int x) {
val += expo[x];
val = modd(val);
}
Hash operator+ (const Hash &other) {
Hash nw;
nw.val = val + other.val;
nw.val = modd(nw.val);
nw.sze = sze + other.sze;
return nw;
}
ll operator- (const Hash &other) {
return modd(val - other.val);
}
};
int N, Q;
namespace DSU {
const int SZ = 1000000;
int p[SZ], q[SZ];
int par[SZ];
pair<Hash, Hash> compHash[SZ];
map<ll, int> cnt;
void init() {
FOR(i, 0, N) {
par[i] = i;
compHash[i] = { Hash(p[i]), Hash(q[i]) };
cnt[compHash[i].first - compHash[i].second] += 1;
}
}
int find(int x) {
if (par[x] != x) par[x] = find(par[x]);
return par[x];
}
void deleteHash(int idx) {
cnt[compHash[idx].first - compHash[idx].second] -= compHash[idx].first.size();
}
void addHash(int idx) {
cnt[compHash[idx].first - compHash[idx].second] += compHash[idx].first.size();
}
void swapPos(int a, int b) {
int ca = find(a);
int cb = find(b);
if (ca == cb) return;
deleteHash(ca), deleteHash(cb);
compHash[ca].first.removeElement(p[a]);
compHash[ca].first.addElement(p[b]);
compHash[cb].first.removeElement(p[b]);
compHash[cb].first.addElement(p[a]);
addHash(ca), addHash(cb);
swap(p[a], p[b]);
}
void connect(int a, int b) {
a = find(a), b = find(b);
if (a == b) return;
par[b] = a;
deleteHash(a), deleteHash(b);
compHash[a] = { compHash[a].first + compHash[b].first, compHash[a].second + compHash[b].second };
addHash(a);
}
bool checkSort() {
return cnt[0LL] == N;
}
int checkComp() {
int ans = 0;
for (auto& entry : cnt) if(entry.first!=0){
ans += entry.second*cnt[modd(-entry.first)];
}
return ans / 2;
}
}
int main() {
io();
expo[0] = 1;
FOR(i, 1, 1000001) {
expo[i] = modd(expo[i - 1] * PRIME);
}
cin >> N >> Q;
FOR(i, 0, N) {
cin >> DSU::p[i];
DSU::q[i] = DSU::p[i];
}
sort(DSU::q, DSU::q + N);
DSU::init();
FOR(i, 0, Q) {
int t;
cin >> t;
if (t == 1) {
int a, b;
cin >> a >> b;
a--, b--;
DSU::swapPos(a, b);
}
else if (t == 2) {
int a, b;
cin >> a >> b;
a--, b--;
DSU::connect(a, b);
}
else if (t == 3) {
cout << (DSU::checkSort() ? "DA\n" : "NE\n");
}
else if (t == 4) {
cout << DSU::checkComp() << "\n";
}
else {
assert(0);
}
}
return 0;
}
/*
...
*/
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