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;
/**
* Author: Lucian Bicsi
* Description: Very fast and quick segment tree.
* Only useful for easy invariants. 0-indexed.
* Range queries are half-open.
*/
struct SegmTree {
vector<int> T; int n;
SegmTree(int n) : T(2 * n, (int)2e9), n(n) {}
void Update(int pos, int val) {
for (T[pos += n] = val; pos > 1; pos /= 2)
T[pos / 2] = min(T[pos], T[pos ^ 1]);
}
int Query(int b, int e) {
int res = 2e9;
for (b += n, e += n; b < e; b /= 2, e /= 2) {
if (b % 2) res = min(res, T[b++]);
if (e % 2) res = min(res, T[--e]);
}
return res;
}
};
const int MAXN = 1'000'000;
int n,q;
umap<int,set<int>> active_factors;
vi factors[MAXN+1];
set<int> neighbors[MAXN+1];
bitset<MAXN+1> active;
int main() {
cin.tie(0)->sync_with_stdio(0);
cin.exceptions(cin.failbit);
rep(i,2,MAXN+1) if(factors[i].empty()) for(int j=i;j<=MAXN;j+=i) factors[j].pb(i);
rep(i,1,MAXN+1) neighbors[i].insert(INF);
cin>>n>>q;
SegmTree segtree(n+1);
int cnt=0;
while(q--) {
string op;
cin>>op;
if(op=="S") {
int x;
cin>>x;
if(active[x]) {
trav(factor,factors[x]) {
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[x]) {
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());
}
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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