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;
int gcd(int a, int b){
while (b){
a %= b;
swap(a, b);
}
return a;
}
void solve1(int n, int q){
vector<bool> v(n+1);
for (int i = 0; i < q; ++i){
char t; cin >> t;
if (t == 'S') {
int x; cin >> x;
v[x] = !v[x];
} else{
int l, r; cin >> l >> r;
bool flag = true;
for (int j = l; j <= r; ++j){
if (!v[j]) continue;
for (int f = j + 1; f <= r; ++f){
if (!v[f]) continue;
if (gcd(j, f) > 1) flag = false;
}
}
if (flag) cout << "NE\n";
else cout << "DA\n";
}
}
}
void solve2(int n, int q){
vector<vector<int>> prime(n+1);
for (int i = 2; i <= n; ++i){
if (!prime[i].empty()) continue;
for (int j = i; j <= n; j += i){
prime[j].push_back(i);
}
}
vector<int> cnt(n+1);
vector<bool> active(n+1);
int k = 0;
for (int i = 0; i < q; ++i){
char t; cin >> t;
if (t == 'S') {
int x; cin >> x;
if (!active[x]) {
for (auto p : prime[x]) {
cnt[p]++;
if (cnt[p] == 2) k++;
}
} else{
for (auto p : prime[x]){
cnt[p]--;
if (cnt[p] == 1) k--;
}
}
active[x] = !active[x];
} else{
int l, r; cin >> l >> r;
if (k > 0) cout << "DA\n";
else cout << "NE\n";
}
}
}
int main() {
int n, q; cin >> n >> q;
if (n <= 100) solve1(n, q);
else solve2(n, q);
return 0;
}
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