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 maxn = 1000010;
int n, q, cur[maxn], val[maxn], mn[maxn << 2];
vector<int> d[maxn];
set<int> S[maxn];
multiset<int> E[maxn];
#define ls (k << 1)
#define rs (k << 1 | 1)
#define mid ((l + r) >> 1)
void upd(int k, int l, int r, int p) {
if (l == r) { mn[k] = val[l]; return; }
mid >= p ? upd(ls, l, mid, p) : upd(rs, mid + 1, r, p);
mn[k] = min(mn[ls], mn[rs]);
}
int query(int k, int l, int r, int ql, int qr) {
if (l >= ql && r <= qr) return mn[k];
int s = INT_MAX;
if (mid >= ql) s = query(ls, l, mid, ql, qr);
if (mid < qr) s = min(s, query(rs, mid + 1, r, ql, qr));
return s;
}
int main() {
ios::sync_with_stdio(0), cin.tie(0);
cin >> n >> q;
for (int i = 2; i <= n; i++) if (d[i].empty()) {
for (int j = i; j <= n; j += i) d[j].push_back(i);
}
memset(mn, 0x3f, sizeof(mn));
auto upd = [&](int p) {
if (!p) return;
val[p] = E[p].empty() ? INT_MAX : *E[p].begin();
::upd(1, 1, n, p);
};
while (q--) {
char op;
int x, y;
cin >> op >> x;
if (op == 'S') {
for (int p : d[x]) {
if (!cur[x]) {
auto it = S[p].insert(x).first;
int l = it == S[p].begin() ? 0 : *prev(it);
int r = next(it) == S[p].end() ? 0 : *next(it);
if (l) E[l].insert(x);
if (r) E[x].insert(r);
if (l && r) E[l].erase(E[l].find(r));
upd(l), upd(x);
} else {
auto it = S[p].lower_bound(x);
int l = it == S[p].begin() ? 0 : *prev(it);
int r = next(it) == S[p].end() ? 0 : *next(it);
if (l) E[l].erase(E[l].find(x));
if (r) E[x].erase(E[x].find(r));
if (l && r) E[l].insert(r);
upd(l), upd(x);
S[p].erase(x);
}
}
cur[x] ^= 1;
} else {
cin >> y;
cout << (query(1, 1, n, x, y) <= y ? "DA\n" : "NE\n");
}
}
return 0;
}
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