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) (int)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 {
int lo,hi,val=INF;
Node *l,*r;
Node(int L,int R) : lo(L),hi(R) {
if(hi-lo!=1) {
int mid=(lo+hi)/2;
l=new Node(lo,mid);
r=new Node(mid,hi);
}
}
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) {
if(pos<lo||hi<=pos) return;
if(hi-lo==1) {
val=x;
return;
}
l->update(pos,x);
r->update(pos,x);
val=min(l->val,r->val);
}
};
const int MAXN = 1'000'000;
int n,q;
umap<int,set<int>> active_factors;
vi factors2[MAXN+1];
set<int> neighbors[MAXN+1];
bitset<MAXN+1> active;
vi primes;
void sieve() {
bitset<1005> bs;
for(int i=2;i<1005;++i) {
if(bs[i]) continue;
primes.pb(i);
for(int j=i*i;j<1005;j+=i) bs[j]=1;
}
}
int main() {
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
rep(i,2,MAXN+1) if(factors2[i].empty()) for(int j=i;j<=MAXN;j+=i) factors2[j].pb(i);
rep(i,1,MAXN+1) neighbors[i].insert(INF);
sieve();
cin>>n>>q;
Node segtree(0,n);
int cnt=0;
while(q--) {
string op;
cin>>op;
if(op=="S") {
int x;
cin>>x;
int val=x;
vi factors;
trav(prime,primes) {
if(prime*prime>val) break;
if(val%prime) continue;
while(val%prime==0) val/=prime;
factors.pb(prime);
}
if(val!=1) factors.pb(val);
if(active[x]) {
trav(factor,factors) {
active_factors[factor].erase(x);
auto it=active_factors[factor].lower_bound(x);
int lnum=-1,rnum=-1;
if(it!=active_factors[factor].end()) rnum=*it;
if(it!=active_factors[factor].begin()) {
--it;
lnum=*it;
++it;
}
bool change=0;
if(lnum!=-1) {
if(*neighbors[lnum].begin()==x) change=1;
neighbors[lnum].erase(x);
}
//if(rnum!=-1) neighbors[x].insert(rnum);
if(lnum!=-1&&rnum!=-1) {
neighbors[lnum].insert(rnum);
if(*neighbors[lnum].begin()==rnum) change=1;
}
if(change) segtree.update(lnum,*neighbors[lnum].begin());
}
segtree.update(x,INF);
neighbors[x].clear();
neighbors[x].insert(INF);
} else {
trav(factor,factors) {
active_factors[factor].insert(x);
auto it=active_factors[factor].find(x);
int lnum=-1,rnum=-1;
if(it!=active_factors[factor].begin()) {
--it;
lnum=*it;
++it;
}
++it;
if(it!=active_factors[factor].end()) rnum=*it;
--it;
bool change=0;
if(lnum!=-1&&rnum!=-1) {
if(*neighbors[lnum].begin()==rnum) change=1;
neighbors[lnum].erase(rnum);
}
if(lnum!=-1) {
neighbors[lnum].insert(x);
if(*neighbors[lnum].begin()==x||change) change=1;
}
if(rnum!=-1) neighbors[x].insert(rnum);
if(change) segtree.update(lnum,*neighbors[lnum].begin());
}
neighbors[x].insert(INF);
segtree.update(x,*neighbors[x].begin());
}
active[x]=!active[x];
} else {
++cnt;
int lo,hi;
cin>>lo>>hi;
++hi;
/*
if(cnt==20) {
cout<<"active:"<<endl;
rep(i,0,n+1) if(active[i]) cout<<i<<' ';
cout<<endl;
cout<<"lo = "<<lo<<" hi = "<<hi-1<<endl;
cout<<segtree.query(lo,hi)<<endl;
}*/
if(segtree.query(lo,hi)<hi) cout<<"DA"<<'\n';
else cout<<"NE"<<'\n';
}
}
//cout<<endl;
//_Exit(0);
return 0;
}
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