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;
const int NMAX(1000005);
int lp[NMAX], n, q;
bool activ[NMAX];
set<int> vals[NMAX];
struct SegTree
{
vector<int> arb;
SegTree(){}
inline void init(int n)
{
int pt = 1;
while(pt < n)
pt <<= 1;
pt <<= 1;
arb.resize(pt, n + 1);
}
inline void update(int nod, int st, int dr, int poz, bool tip)
{
if(st == dr)
{
if(tip == 1)
{
int bz = poz;
arb[nod] = n + 1;
while(poz != 1)
{
int div = lp[poz];
while(poz % div == 0)
poz /= div;
arb[nod] = min(arb[nod], *vals[div].upper_bound(bz));
}
}
else
arb[nod] = n + 1;
return;
}
int mij = (st + dr) / 2;
if(poz <= mij)
update(2 * nod, st, mij, poz, tip);
else update(2 * nod + 1, mij + 1, dr, poz, tip);
arb[nod] = min(arb[2 * nod], arb[2 * nod + 1]);
}
inline int query(int nod, int st, int dr, int a, int b)
{
if(a <= st && dr <= b)
return arb[nod];
int mij = (st + dr) / 2;
int rez1 = n + 1, rez2 = n + 1;
if(a <= mij)
rez1 = query(2 * nod, st, mij, a, b);
if(b > mij)
rez2 = query(2 * nod + 1, mij + 1, dr, a, b);
return min(rez1, rez2);
}
} Seg;
inline void modif(int care, int tip)
{
int bz = care;
while(care != 1)
{
int div = lp[care];
while(care % div == 0)
care /= div;
if(tip == 1)
vals[div].insert(bz);
auto ce = vals[div].lower_bound(bz);
if(ce != vals[div].begin())
{
--ce;
Seg.update(1, 1, n, *ce, 1);
}
}
Seg.update(1, 1, n, bz, tip);
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0), cout.tie(0);
cin >> n >> q;
for(int i = 1; i <= n; ++i)
vals[i].insert(n + 1);
vector<int> prime;
for(int i = 2; i <= n; ++i)
{
if(!lp[i])
{
lp[i] = i;
prime.push_back(i);
}
for(int j = 0; j < (int)prime.size() && prime[j] <= lp[i] && i * prime[j] <= n; ++j)
lp[i * prime[j]] = prime[j];
}
Seg.init(n);
for(int i = 1; i <= q; ++i)
{
char tip;
cin >> tip;
if(tip == 'S')
{
int care;
cin >> care;
if(!activ[care])
{
activ[care] = 1;
modif(care, 1);
}
else
{
activ[care] = 0;
int bz = care;
while(care != 1)
{
int div = lp[care];
while(care % div == 0)
care /= div;
vals[div].erase(bz);
}
modif(bz, 0);
}
}
else
{
int st, dr;
cin >> st >> dr;
cout << (Seg.query(1, 1, n, st, dr) <= dr ? "DA\n" : "NE\n");
}
}
return 0;
}
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