This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#define endl '\n'
const int N = 1e6+5;
int spf[N] , isprime[N];
set<int> primes[N];
bool on[N];
int nxt[N] , bef[N];
vector<int> pFactors(int x){
vector<int> tmp;
int y = x;
while(y != 1){
if(tmp.empty() || tmp.back() != spf[y]) tmp.push_back(spf[y]);
y /= spf[y];
}
return tmp;
}
void calc(int x,bool b){
vector<int> tmp = pFactors(x);
for(auto p : tmp){
if(!b) primes[p].erase(x);
auto it = primes[p].lower_bound(x);
if(it != primes[p].end()){
if(b) bef[*it] = max(bef[*it],x);
nxt[x] = min(nxt[x] , *it);
}
if(it != primes[p].begin()){
if(b) nxt[*(--it)] = min(nxt[*it],x);
bef[x] = max(bef[x] , *it);
}
primes[p].insert(x);
}
}
void solve(){
int n,q;
cin>>n>>q;
for(int i=1;i<N;i++) nxt[i] = 1e9;
while(q--){
char c;
cin>>c;
if(c == 'S'){
int x;
cin>>x;
if(!on[x]){
calc(x,1);
on[x] = 1;
}
else {
on[x] = 0;
nxt[x] = 1e9;
bef[x] = 0;
vector<int> effected;
vector<int> tmp = pFactors(x);
for(auto p : tmp){
primes[p].erase(x);
auto it = primes[p].lower_bound(x);
if(it != primes[p].end()) effected.push_back(*it);
if(it != primes[p].begin()) effected.push_back(*(--it));
}
for(auto y : effected) nxt[y] = 1e9 , bef[y] = -1 , calc(y,0);
}
}
else {
int l,r;
cin>>l>>r;
int mxbef = 0;
int mnnxt = 1e9;
for(int i=l;i<=r;i++){
mxbef = max(mxbef,bef[i]);
mnnxt = min(mnnxt,nxt[i]);
}
cout<<(mxbef >= l || mnnxt <= r ? "DA" : "NE")<<endl;
}
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int t=1;
//cin>>t;
memset(isprime,1,sizeof(isprime));
isprime[1] = 0;
for(ll i=2;i<N;i++){
if(!isprime[i]) continue;
spf[i] = i;
for(ll j=i*i;j<N;j+=i){
if(!isprime[j]) continue;
spf[j] = i;
isprime[j] = 0;
}
}
while(t--){
solve();
}
return 0;
}
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