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 optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
// Super Idol的笑容
// 都没你的甜
// 八月正午的阳光
// 都没你耀眼
// 热爱105°C的你
// 滴滴清纯的蒸馏水
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << ": " << x << endl
#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define lb lower_bound
#define ub upper_bound
#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
//change less to less_equal for non distinct pbds, but erase will bug
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
struct node{
const int BUF=1000010;
int tree[2000100];
node(){
memset(tree,63,sizeof(tree));
}
void upd(int i,int k){
i+=BUF;
tree[i]=k;
while (i>>=1){
tree[i]=min(tree[i<<1],tree[i<<1|1]);
}
}
int query(int i,int j){
i+=BUF,j+=BUF+1;
int res=1e9;
while (i<j){
if (i&1){
res=min(res,tree[i]);
i++;
}
if (j&1){
j--;
res=min(res,tree[j]);
}
i>>=1,j>>=1;
}
return res;
}
} root;
int n,q;
vector<int> primes[1000005];
bool has[1000005];
set<int> pos[1000005];
multiset<int> s[1000005];
signed main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin.exceptions(ios::badbit | ios::failbit);
rep(x,2,1000005) if (primes[x].empty()){
for (int y=x;y<1000005;y+=x) primes[y].pub(x);
}
//rep(x,2,11) for (auto it:primes[x]) cout<<it<<" "; cout<<endl;
cin>>n>>q;
char c;
int a,b;
while (q--){
cin>>c;
if (c=='S'){
cin>>a;
if (!has[a]){
for (auto it:primes[a]){
auto iter=pos[it].insert(a).fi;
int l=-1,r=-1;
if (iter!=pos[it].begin()) l=*prev(iter);
if (iter!=prev(pos[it].end())) r=*next(iter);
if (l!=-1 && r!=-1) s[l].erase(s[l].find(r));
if (l!=-1) s[l].insert(a);
if (r!=-1) s[a].insert(r);
if (l!=-1) root.upd(l,s[l].empty()?1e9:*s[l].begin());
root.upd(a,s[a].empty()?1e9:*s[a].begin());
}
}
else{
for (auto it:primes[a]){
auto iter=pos[it].find(a);
int l=-1,r=-1;
if (iter!=pos[it].begin()) l=*prev(iter);
if (iter!=prev(pos[it].end())) r=*next(iter);
if (l!=-1 && r!=-1) s[l].insert(r);
if (l!=-1) s[l].erase(s[l].find(a));
if (r!=-1) s[a].erase(s[a].find(r));
if (l!=-1) root.upd(l,s[l].empty()?1e9:*s[l].begin());
root.upd(a,s[a].empty()?1e9:*s[a].begin());
pos[it].erase(a);
}
}
has[a]^=true;
}
else{
cin>>a>>b;
if (root.query(a,b)<=b) cout<<"DA"<<endl;
else cout<<"NE"<<endl;
}
}
}
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