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>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define fi first
#define se second
#define ll long long
#define ld long double
#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define mpp make_pair
#define ve vector
using namespace std;
using namespace __gnu_pbds;
template<class T> using oset = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
const ll inf = 1e18; const int iinf = 1e9;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
template <typename T> inline bool chmin(T& a, T b) { return (a > b ? a = b, 1 : 0); }
template <typename T> inline bool chmax(T& a, T b) { return (a < b ? a = b, 1 : 0); }
const int N = 1e6 + 100;
ve<int> pr; int lp[N];
ve<int> fact[N];
set<int> occ[N];
int cl[N];
int t[2 * N];
inline void build() { fill(t, t + 2 * N, -iinf); }
inline void upd(int i, int x) {
t[i += N] = x;
while (i > 1) { t[i >> 1] = max(t[i], t[i ^ 1]); i >>= 1; }
}
inline int get(int l, int r) {
int res = -iinf;
l += N, r += N + 1;
while (l < r) {
if (l & 1) chmax(res, t[l++]);
if (r & 1) chmax(res, t[--r]);
l >>= 1, r >>= 1;
} return res;
}
inline void solve() {
for (int i = 2; i < N; ++i) {
if (!lp[i]) lp[i] = i, pr.pb(i);
for (int j = 0; j < sz(pr) && i * pr[j] < N && pr[j] <= lp[i]; ++j) {
lp[i * pr[j]] = pr[j];
}
}
// for (int i = 2; i < N; ++i) {
// if (lp[i] < i) continue;
// for (int j = i; j < N; j += i) fact[j].pb(i);
// }
for (int i = 2; i < N; ++i) {
int x = i;
while (x > 1) {
int d = lp[x]; fact[i].pb(d);
while (x % d == 0) x /= d;
}
}
int n, q;
cin >> n >> q;
ve<int> active(n + 1);
for (int i = 1; i <= n; ++i) cl[i] = -iinf;
build();
while (q--) {
char te;
cin >> te;
if (te == 'S') {
int x;
cin >> x;
active[x] ^= 1;
if (active[x]) {
cl[x] = -iinf;
for (int &d : fact[x]) {
auto it = occ[d].lower_bound(x);
int right = it != occ[d].end() ? *it : iinf;
int left = it != occ[d].begin() ? *--it : -iinf;
chmax(cl[x], left);
if (right != iinf) {
if (cl[right] < x) {
cl[right] = x;
upd(right, cl[right]);
}
}
}
for (int &d : fact[x]) occ[d].insert(x);
upd(x, cl[x]);
}
else {
upd(x, -iinf); cl[x] = -iinf;
for (int &d : fact[x]) occ[d].erase(x);
for (int &d : fact[x]) {
auto it = occ[d].lower_bound(x);
int right = it != occ[d].end() ? *it : iinf;
if (right != iinf) {
cl[right] = -iinf;
for (int &f : fact[right]) {
auto it1 = occ[f].lower_bound(right);
if (it1 != occ[f].begin()) chmax(cl[right], *--it1);
}
upd(right, cl[right]);
}
}
}
// for (int i = 1; i <= n; ++i) {
// if (!active[i]) continue;
// cout << i << " -> (" << cl[i] << ", " << cr[i] << ")" << '\n';
// }
// cout << '\n';
}
else {
int l, r;
cin >> l >> r;
if (get(l, r) >= l) cout << "DA" << '\n';
else cout << "NE" << '\n';
}
}
}
signed main() {
ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
int q = 1; // cin >> q;
while (q--) solve();
cerr << fixed << setprecision(3) << "Time execution: " << (double)clock() / CLOCKS_PER_SEC << endl;
}
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