This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// #pragma GCC target ("avx,avx2,fma")
// #pragma GCC optimize ("Ofast,inline") // O1 - O2 - O3 - Os - Ofast
// #pragma GCC optimize ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for (int i = (a); i < (b); ++i)
#define per(i, a, b) for (int i = (b - 1); i >= (a); --i)
#define trav(a, x) for (auto &a : x)
#define all(x) x.begin(), x.end()
#define sz(x) x.size()
#define pb push_back
#define debug(x) cout << #x << " = " << x << endl
#define umap unordered_map
#define uset unordered_set
typedef pair<int, int> ii;
typedef pair<int, ii> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<vi> vvi;
typedef long long ll;
typedef pair<ll, ll> pll;
typedef vector<ll> vll;
typedef vector<pll> vpll;
const int INF = 1'000'000'007;
struct Node {
Node *l, *r;
int val, lo, hi;
map<int, int> stops;
Node(int L, int R) : lo(L), hi(R) {
if (hi - lo == 1) {
++stops[INF];
val = INF;
} else {
int mid = (lo + hi) / 2;
l = new Node(lo, mid);
r = new Node(mid, hi);
val = min(l->val, r->val);
}
}
int query(int L, int R) {
if (hi <= L || R <= lo) return INF;
if (L <= lo && hi <= R) return val;
return min(l->query(L, R), r->query(L, R));
}
void update(int pos, int x, int y) {
if (hi <= pos || pos < lo) return;
if (hi - lo == 1) {
stops[x] += y;
if (!stops[x]) stops.erase(x);
val = stops.begin()->first;
return;
}
l->update(pos, x, y), r->update(pos, x, y);
val = min(l->val, r->val);
}
};
vi prime_fac[1'000'005];
bitset<1'000'005> broadcast, used;
void sieve() {
bitset<1'000'005> bs;
rep(i, 2, 1'000'005) {
if (bs[i]) continue;
for (int j = i; j < 1'000'005; j += i) {
if (used[j]) {
prime_fac[j].pb(i);
bs[j] = 1;
}
}
}
}
set<int> factors[1'000'005];
Node *segtree;
int n, q;
void toggle(int factor, int freq) {
int mul = broadcast[freq] ? -1 : 1;
if (broadcast[freq])
factors[factor].erase(freq);
else
factors[factor].insert(freq);
auto it = factors[factor].upper_bound(freq);
// cout << "factor = " << factor << " freq = " << freq << " broadcast = " << broadcast[factor] << endl;
int hi = -1, lo = -1;
if (it != factors[factor].end()) {
hi = *it;
segtree->update(freq, hi, 1 * mul);
// cout<<"WA1"<<endl;
}
if (!broadcast[freq]) --it;
if (it != factors[factor].begin()) {
--it;
lo = *it;
segtree->update(lo, freq, 1 * mul);
// cout<<"WA2"<<endl;
}
if (lo != -1 && hi != -1) {
segtree->update(lo, hi, -1 * mul);
// cout << "WA3" << endl;
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
cin >> n >> q;
char types[200000];
int val[200000][2];
rep(i,0,q) {
cin>>types[i]>>val[i][0];
if(types[i]=='C') cin>>val[i][1];
else used[val[i][0]]=1;
}
sieve();
segtree = new Node(0, n + 5);
rep(i,0,q) {
char type=types[i];
if (type == 'S') {
int freq=val[i][0];
trav(prime, prime_fac[freq]) toggle(prime, freq);
broadcast[freq] = !broadcast[freq];
} else {
int lo=val[i][0], hi=val[i][1];
int val = segtree->query(lo, hi + 1);
// cout << "lo = " << lo << " hi = " << hi << " val = " << val << endl;
if (val <= hi)
cout << "DA" << '\n';
else
cout << "NE" << '\n';
}
// cout << endl;
}
return 0;
}
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