#include <bits/stdc++.h>
using namespace std;
#define fastio ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define mid (lr+hr)/2
const int N = 1e6+5;
set<int> se[N];
bitset<N> vis;
int l[N][7], r[N][7], seg[N << 2][2];
map<int, int> mp[N];
void build(int node, int lr, int hr)
{
if(lr == hr)
{
seg[node][0] = 1e9;
seg[node][1] = -1e9;
return;
}
build(node << 1, lr, mid);
build(node << 1 | 1, mid+1, hr);
seg[node][0] = min(seg[node << 1][0], seg[node << 1 | 1][0]);
seg[node][1] = max(seg[node << 1][1], seg[node << 1 | 1][1]);
return;
}
void update(int node, int lr, int hr, int idx)
{
if(lr > idx || idx > hr) return;
if(lr == hr)
{
seg[node][0] = 1e9;
for(int i = 0; i < 7; i++)
{
seg[node][0] = min(seg[node][0], r[idx][i]);
}
seg[node][1] = -1e9;
for(int i = 0; i < 7; i++)
{
seg[node][1] = max(seg[node][1], l[idx][i]);
}
return;
}
update(node << 1, lr, mid, idx);
update(node << 1 | 1, mid+1, hr, idx);
seg[node][0] = min(seg[node << 1][0], seg[node << 1 | 1][0]);
seg[node][1] = max(seg[node << 1][1], seg[node << 1 | 1][1]);
return ;
}
array<int, 2> get(int node, int lr, int hr, int lq, int hq)
{
if(lq <= lr && hr <= hq) return {seg[node][0], seg[node][1]};
array<int, 2> a = {(int)1e9, -(int)1e9};
if(lr > hq || lq > hr) return a;
array<int, 2> b = get(node << 1, lr, mid, lq, hq);
a = get(node << 1 | 1, mid+1, hr, lq, hq);
a[0] = min(a[0], b[0]);
a[1] = max(a[1], b[1]);
return a;
}
signed main()
{
fastio;
int n, q;
cin >> n >> q;
for(int i = 0; i <= n; i++) for(int j = 0; j < 7; j++) l[i][j] = -1e9, r[i][j] = 1e9;
build(1, 1, n);
while(q--)
{
char c;
cin >> c;
if(c == 'S')
{
int x;
cin >> x;
int z = x;
bool del = vis[x];
if(vis[x]) vis[x] = false;
else vis[x] = true;
vector<int> o;
for(int i = 2; i*i <= x; i++)
{
while(x%i == 0)
{
if(o.empty() || o.back() != i)
{
mp[z][i] = o.size();
o.push_back(i);
}
x /= i;
}
}
if(x > 1)
{
mp[z][x] = o.size();
o.push_back(x);
}
if(del)
{
for(int i = 0; i < o.size(); i++)
{
auto nxt = se[o[i]].upper_bound(z);
auto prv = se[o[i]].lower_bound(z);
if(nxt != se[o[i]].end())
{
int j = mp[*nxt][o[i]];
l[*nxt][j] = l[z][i];
update(1, 1, n, *nxt);
}
if(prv != se[o[i]].begin())
{
prv--;
int k = mp[*prv][o[i]];
r[*prv][k] = r[z][i];
update(1, 1, n, (*prv));
}
l[z][i] = -1e9;
r[z][i] = 1e9;
update(1, 1, n, z);
se[o[i]].erase(z);
}
}
else{
// cout << z << '\n';
for(int i = 0; i < o.size(); i++)
{
auto nxt = se[o[i]].upper_bound(z);
auto prv = se[o[i]].lower_bound(z);
if(nxt != se[o[i]].end())
{
int j = mp[*nxt][o[i]];
l[*nxt][j] = z;
r[z][i] = (*nxt);
update(1, 1, n, (*nxt));
}
if(prv != se[o[i]].begin())
{
prv--;
int k = mp[*prv][o[i]];
r[*prv][k] = z;
l[z][i] = (*prv);
update(1, 1, n, (*prv));
}
update(1, 1, n, z);
se[o[i]].insert(z);
}
}
}
else if(c == 'C')
{
int l, r;
cin >> l >> r;
array<int, 2> ans = get(1, 1, n, l, r);
cout << (ans[0] <= r || ans[1] >= l ? "DA\n" : "NE\n");
}
}
}
