#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define all(x) x.begin(), x.end()
#define VietAnh "RADIO"
#define resp(x) sort(all(x)), x.resize(unique(all(x)) - x.begin())
#define getbit(x,i) ((x >> i)&1)
#define _left id * 2, l, mid
#define _right id * 2 + 1, mid + 1, r
#define cntbit(x) __builtin_popcountll(x)
#define fi(i, a, b) for(int i = a; i <= b; i++)
#define fid(i, a, b) for(int i = a; i >= b; i--)
using namespace std;
const ll mod = 1e9 + 7;
const int maxn = 1 << 20;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
long long GetRandom(long long l, long long r)
{
return uniform_int_distribution<long long> (l, r)(rng);
}
int n, q;
set<int> s[maxn];
int d[maxn];
int L[maxn], R[maxn], nt[maxn];
vector<int> prime[maxn], v;
struct dl{
int val_l, val_r;
dl(){
val_l = 0, val_r = 1e9;
}
dl(int _vl, int _vr){
val_l = _vl, val_r = _vr;
}
} st[2 * maxn];;
void eras()
{
fi(i, 1, maxn - 2) nt[i] = i;
for(int i = 2; i * i < maxn; i ++)
{
if(nt[i] == i)
{
for(int j = i * i; j < maxn; j += i)
{
nt[j] = min(nt[j], i);
}
}
}
}
dl cb(dl x, dl y)
{
dl k;
k.val_l = max(x.val_l, y.val_l);
k.val_r = min(x.val_r, y.val_r);
return k;
}
void update(int x, dl k, int id = 1, int l = 1, int r = n)
{
if(l > x || r < x) return;
if(l == r)
{
st[id] = k;
return;
}
int mid = (l + r) >> 1;
update(x, k, _left);
update(x, k, _right);
st[id] = cb(st[id * 2], st[id * 2 + 1]);
}
dl get(int u, int v, int id = 1, int l = 1, int r = n)
{
if(l > v || r < u){
dl k;
return k;
}
if(u <= l && r <= v) return st[id];
int mid = (l + r) >> 1;
return cb(get(u, v, _left), get(u, v, _right));
}
void pt(int x)
{
int a = x;
while(x > 1)
{
int curr = nt[x];
prime[a].push_back(curr);
while(x % curr == 0) x /= curr;
}
}
void update_(int x)
{
L[x] = 0, R[x] = n + 1;
for(int p : prime[x])
{
auto it = s[p].lower_bound(x);
if(it != s[p].begin()) L[x] = max(L[x], *prev(it));
if(it != prev(s[p].end())) R[x] = min(R[x], *next(it));
}
dl k (L[x], R[x]);
update(x, k);
}
void Add(int x)
{
v.clear();
L[x] = 0, R[x] = n + 1;
for(int p : prime[x])
{
auto it = s[p].lower_bound(x);
if(it != s[p].end())
{
R[x] = min(R[x], *it);
v.push_back(*it);
}
if(it != s[p].begin())
{
L[x] = max(L[x], *prev(it));
v.push_back(*prev(it));
}
s[p].insert(x);
}
resp(v);
for(int p : v) update_(p);
dl k (L[x], R[x]);
update(x, k);
}
void Del(int x)
{
v.clear();
L[x] = 0, R[x] = n + 1;
for(int p : prime[x])
{
auto it = s[p].lower_bound(x);
if(it != prev(s[p].end())) v.push_back(*next(it));
if(it != s[p].begin()) v.push_back(*prev(it));
s[p].erase(it);
}
resp(v);
for(int p : v) update_(p);
dl k (L[x], R[x]);
update(x, k);
}
void solve()
{
cin >> n >> q;
eras();
fi(i, 1, n) pt(i);
while(q--)
{
char type;
int x, y;
cin >> type >> x;
if(type == 'C')
{
cin >> y;
dl p = get(x, y);
if(x <= p.val_l || p.val_r <= y) cout << "DA\n";
else cout << "NE\n";
}
else
{
if(!d[x]) Add(x);
else Del(x);
d[x] = 1 - d[x];
}
}
}
int main()
{
ios_base :: sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
if(fopen(VietAnh".inp", "r"))
{
freopen(VietAnh".inp", "r", stdin);
freopen(VietAnh".out", "w", stdout);
}
int nTest = 1;
// cin >> nTest;
while(nTest--)
{
solve();
}
return 0;
}
