#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define mp make_pair
#define foru(i, l, r) for(int i = l; i <= r; i++)
#define ford(i, r, l) for(int i = r; i >= l; i--)
#define __TIME (1.0 * clock() / CLOCKS_PER_SEC)
typedef pair<int, int> ii;
typedef pair<ii, int> iii;
typedef pair<ii, ii> iiii;
const int MAXN = 1 << 20;
const int oo = 1e9, mod = 1e9 + 7;
int n, q;
bool on[MAXN];
unordered_map<int, set<int>> transmitting;
int seg[2 * MAXN][2];
int sieve[MAXN];
void init_sieve() {
foru(i, 2, MAXN - 1) {
if (sieve[i] == 0) {
for (int j = i; j < MAXN; j += i) {
sieve[j] = i;
}
}
}
}
void init_segtree() {
foru(i, 0, 2 * MAXN - 1) {
seg[i][0] = -1;
seg[i][1] = MAXN;
}
}
void update_segtree(int idx, int vl, int vr) {
idx += MAXN;
seg[idx][0] = vl;
seg[idx][1] = vr;
for (idx /= 2; idx > 0; idx /= 2) {
seg[idx][0] = max(seg[2 * idx][0], seg[2 * idx + 1][0]);
seg[idx][1] = min(seg[2 * idx][1], seg[2 * idx + 1][1]);
}
}
ii query_segtree(int left, int right, int node = 1, int nl = 0, int nr = MAXN - 1) {
if (left > nr || right < nl) return ii(-1, MAXN);
if (left <= nl && nr <= right) return ii(seg[node][0], seg[node][1]);
ii a = query_segtree(left, right, 2 * node, nl, nl + (nr - nl) / 2);
ii b = query_segtree(left, right, 2 * node + 1, nl + (nr - nl) / 2 + 1, nr);
return ii(max(a.first, b.first), min(a.second, b.second));
}
void fixup_segtree(int x) {
int left = -1, right = MAXN;
for (int p = sieve[x], tmp = x; tmp != 1;) {
auto& ps = transmitting[p];
auto lit = ps.lower_bound(x);
if (lit != ps.begin()) {
lit--;
left = max(left, *lit);
}
auto rit = ps.upper_bound(x);
if (rit != ps.end()) right = min(right, *rit);
while (tmp % p == 0) {
tmp /= p;
}
p = sieve[tmp];
}
update_segtree(x, left, right);
}
int get_left(int x) {
return seg[MAXN + x][0];
}
int get_right(int x) {
return seg[MAXN + x][1];
}
void switch_station(int x) {
if (x == 1) return;
vector<int> changed;
int left = -1, right = MAXN;
for (int p = sieve[x], tmp = x; tmp != 1;) {
auto& ps = transmitting[p];
auto lit = ps.lower_bound(x);
if (lit != ps.begin()) {
lit--;
if (!on[x] && get_right(*lit) > x) {
update_segtree(*lit, get_left(*lit), x);
} else if (on[x] && get_right(*lit) == x) {
changed.push_back(*lit);
}
left = max(*lit, left);
}
auto rit = ps.upper_bound(x);
if (rit != ps.end()) {
if (!on[x] && get_left(*rit) < x) {
update_segtree(*rit, x, get_right(*rit));
} else if (on[x] && get_left(*rit) == x) {
changed.push_back(*rit);
}
right = min(*rit, right);
}
if (!on[x]) ps.insert(x);
else ps.erase(x);
while (tmp % p == 0) {
tmp /= p;
}
p = sieve[tmp];
}
if (on[x]) {
update_segtree(x, -1, MAXN);
on[x] = false;
} else {
update_segtree(x, left, right);
on[x] = true;
}
sort(changed.begin(), changed.end());
changed.erase(unique(changed.begin(), changed.end()), changed.end());
for (int i : changed) {
fixup_segtree(i);
}
}
bool noisy(int l, int r) {
ii x = query_segtree(l, r);
//printf("%d %d\n", x.first, x.second);
return x.first >= l || x.second <= r;
}
void process() {
cin >> n >> q;
for (int i = 0; i < q; i++) {
char s;
cin >> s;
if (s == 'S') {
int x;
cin >> x;
switch_station(x);
} else if (s == 'C') {
int l, r;
cin >> l >> r;
if (noisy(l, r)) {
cout << "DA\n";
} else {
cout << "NE\n";
}
}
}
return;
}
signed main() {
cin.tie(0)->sync_with_stdio(false);
//freopen(".inp", "r", stdin);
//freopen(".out", "w", stdout);
init_sieve();
init_segtree();
process();
cerr << "Time elapsed: " << __TIME << " s.\n";
return 0;
}
/*
Xét các trường hợp đặc biệt
Kiểm tra lại input/output
Cố gắng trâu
Lật ngược bài toán
Keep calm and get VOI
Flow:
*/
