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 N = 1e6 + 2;
set<int>s[N];
vector<int>prim[N];
bitset<N>b;
bool on[N + 2];
int dr[N + 2];
int n, q;
template<typename T>
struct Aint {
int n;
vector<T>v;
Aint(int N): n(N), v(4*N+2) {fill(v.begin(), v.end(), n + 1);}
void build (T *a, int nod, int st, int dr) {
if (st == dr) {
v[nod] = (a + st);
return;
}
int mid = (st + dr) / 2;
build(2 * nod, st, mid);
build(2 * nod + 1, mid + 1, dr);
v[nod] = min(v[2 * nod], v[2 * nod + 1]);
}
void update (int nod, int st, int dr, int poz, int val) {
if (st == dr) {
v[nod] = val;
return;
}
int mid = (st + dr) / 2;
if (poz <= mid)
update(2 * nod, st, mid, poz, val);
else
update(2 * nod + 1, mid + 1, dr, poz, val);
v[nod] = min(v[2 * nod], v[2 * nod + 1]);
}
T query (int nod, int st, int dr, int a, int b) {
if (a <= st && dr <= b)
return v[nod];
int mid = (st + dr) / 2;
if (b <= mid)
return query(2 * nod, st, mid, a, b);
else if (a > mid)
return query(2 * nod + 1, mid + 1, dr, a, b);
else
return min(query(2 * nod, st, mid, a, b), query(2 * nod + 1, mid + 1, dr, a, b));
}
};
void ciur () {
for (int i = 2; i < N; i++)
if (!b[i])
for (int j = i; j < N; j += i) {
b[j] = 1;
prim[j].push_back(i);
}
}
int main ()
{
ios_base::sync_with_stdio(false);
cin.tie(0); cout.tie(0);
ciur();
cin >> n >> q;
Aint<int> pom(n);
fill(dr + 1, dr + n + 1, n + 1);
while (q--) {
char ch;
cin >> ch;
if (ch == 'S') {
int x;
cin >> x;
if (!on[x]) {
on[x] = 1;
for (auto pr : prim[x]) {
auto it = s[pr].lower_bound(x);
if (it != s[pr].end())
dr[x] = min(dr[x], *it);
if (it != s[pr].begin()) {
it--;
if (dr[*it] > x) {
dr[*it] = x;
pom.update(1, 1, n, *it, x);
}
}
s[pr].insert(x);
}
pom.update(1, 1, n, x, dr[x]);
}
else {
on[x] = 0;
for (auto pr : prim[x]) {
s[pr].erase(x);
auto it = s[pr].lower_bound(x);
int val = ((it != s[pr].end()) ? *it : n + 1);
if (it != s[pr].begin()) {
it--;
pom.update(1, 1, n, *it, val);
}
}
pom.update(1, 1, n, x, n + 1);
dr[x] = n + 1;
}
}
else {
int l, r;
cin >> l >> r;
int plm = pom.query(1, 1, n, l, r);
if (plm <= r) {
cout << "DA\n";
}
else
cout << "NE\n";
}
}
return 0;
}
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