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<iostream>
#include<stdio.h>
#include<math.h>
#include<map>
#include<string>
#include<algorithm>
#include<vector>
#include<string.h>
#include<utility>
#include<set>
#include<cmath>
#include<queue>
#include<deque>
#include<functional>
#include<stack>
#include<limits.h>
#include<iomanip>
#include<unordered_map>
#include<numeric>
#include<tuple>
using namespace std;
#define MOD 1000000007
#define int long long
#define endl '\n'
const int mxN=1e6+1;
vector<bool> ok(mxN);
vector<int> tree(4*mxN,1e9),pf(mxN),mp(mxN);
int cal(int node, int L, int R, int l, int r){
if(L>r||R<l) return 1e9;
if(L>=l&&R<=r) return tree[node];
return min(cal(node*2,L,(L+R)/2,l,r),cal(node*2+1,(L+R)/2+1,R,l,r));
}
void up(int node, int L, int R, int p, int v){
if(L>p||R<p) return;
if(L==R){
tree[node]=v;
return;
}
up(node*2,L,(L+R)/2,p,v);
up(node*2+1,(L+R)/2+1,R,p,v);
tree[node]=min(tree[node*2],tree[node*2+1]);
}
void solve(){
int n,q; cin>>n>>q;
set<int> s[n+1];
for(int i=1; i<=n; i++) pf[i]=i;
for(int i=2; i*i<=n; i++){
if(!ok[i]){
for(int k=i*i; k<=n; k+=i){
if(!ok[k]) pf[k]=i;
ok[k]=1;
}
}
}
while(q--){
char c; cin>>c;
if(c=='S'){
int x; cin>>x;
int real=x;
if(!mp[x]){
int c=cal(1,1,n,x,x);
while(x>1){
s[pf[x]].insert(real);
auto it=s[pf[x]].find(real);
int sp=1e9;
if(it!=prev(s[pf[x]].end())) c=min(c,*next(it));
if(it!=s[pf[x]].begin()) sp=cal(1,1,n,*prev(it),*prev(it));
if(it!=s[pf[x]].begin()) up(1,1,n,*prev(it),min(sp,real));
x/=pf[x];
}
up(1,1,n,real,c);
}else{
up(1,1,n,x,1e9);
while(x>1){
auto it=s[pf[x]].find(real);
if(it!=s[pf[x]].begin()){
int z=*prev(it);
int real1=z;
int c=1e9;
while(z>1){
if(pf[z]!=pf[x]){
auto itr=s[pf[z]].find(real1);
if(itr!=prev(s[pf[z]].end())) c=min(c,*next(itr));
}
z/=pf[z];
}
if(it!=prev(s[pf[x]].end())) up(1,1,n,real1,min(c,*next(it)));
else up(1,1,n,real1,c);
}
s[pf[x]].erase(real);
x/=pf[x];
}
}
mp[real]^=1;
}else{
int l,r; cin>>l>>r;
if(cal(1,1,n,l,r)<=r) cout<<"DA"<<endl;
else cout<<"NE"<<endl;
}
}
}
signed main(){
// freopen("248.in", "r", stdin);
// freopen("248.out", "w", stdout);
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t=1;
// cin>>t;
while(t--){
solve();
cout<<endl;
}
return 0;
}
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