This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <cmath>
#include <algorithm>
#include <vector>
#include <set>
#include <unordered_set>
#include <queue>
#include <deque>
#include <string>
#include <sstream>
#include <iomanip>
#include <map>
#include <unordered_map>
#include <stack>
#include <cstdio>
#include <climits>
#include <tuple>
#include <ctime>
#include <cstring>
#include <numeric>
#include <functional>
#include <chrono>
#include <cassert>
#include <bitset>
//#include <bit>
//#include <ranges>
//#include <numbers>
#define itn int
#define sacnf scanf
#define sz(a) ((int)((a).size()))
// printf("%.10f\n", ans);
using ll = long long;
using namespace std;
const ll mod = 1e9 + 7;
const int N = 1e6 + 1, inf = 1e9;
void modify(vector<int>& segtree, int id, int v, int u, int tl, int tr)
{
    if (tl == tr) segtree[u] = v;
    else
    {
        int tm = (tl + tr) >> 1;
        if (id <= tm) modify(segtree, id, v, u * 2 + 1, tl, tm);
        else modify(segtree, id, v, u * 2 + 2, tm + 1, tr);
        segtree[u] = min(segtree[u * 2 + 1], segtree[u * 2 + 2]);
    }
}
int find_val(vector<int>& segtree, int& l, int& r, int u, int tl, int tr)
{
    if (tl > r || tr < l) return inf;
    if (l <= tl && tr <= r) return segtree[u];
    int tm = (tl + tr) >> 1;
    return min(find_val(segtree, l, r, u * 2 + 1, tl, tm), find_val(segtree, l, r, u * 2 + 2, tm + 1, tr));
}
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    int n, q;
    cin >> n >> q;
    vector<set<int>> id(n + 1);
    vector<vector<int>> divs(n + 1);
    for (int i = 2; i <= n; i++) if (divs[i].empty()) for (int j = i; j <= n; j += i) divs[j].push_back(i);
    vector<int> L(n + 1, -1), R(n + 1, inf);
    vector<bool> on(n + 1);
    int len = 1;
    while (len <= n) len <<= 1;
    vector<int> segtree(len << 1, inf);
    while (q--)
    {
        char smb;
        cin >> smb;
        if (smb == 'S')
        {
            int x;
            cin >> x;
            if (on[x])
            {
                for (int& d : divs[x])
                {
                    set<int>& s = id[d];
                    s.erase(x);
                    auto it = s.upper_bound(x);
                    if (it != s.end())
                    {
                        int id1 = *it;
                        if (L[id1] == x) L[id1] = -1;
                        for (int& d1 : divs[id1])
                        {
                            set<int>& s1 = id[d1];
                            auto it1 = s1.upper_bound(id1);
                            if (it1 != s1.begin())
                            {
                                it1--;
                                L[id1] = max(L[id1], *it1);
                            }
                        }
                    }
                    if (it != s.begin())
                    {
                        it--;
                        int id1 = *it;
                        if (R[id1] == x) R[id1] = inf;
                        for (int& d1 : divs[id1])
                        {
                            set<int>& s1 = id[d1];
                            auto it1 = s1.upper_bound(id1);
                            if (it1 != s1.end()) R[id1] = min(R[id1], *it1);
                        }
                        modify(segtree, id1, R[id1], 0, 0, len - 1);
                    }
                }
                L[x] = -1;
                R[x] = inf;
                modify(segtree, x, R[x], 0, 0, len - 1);
            }
            else
            {
                for (int& d : divs[x])
                {
                    set<int>& s = id[d];
                    auto it = s.upper_bound(x);
                    if (it == s.end()) R[x] = min(R[x], inf);
                    else R[x] = min(R[x], *it), L[*it] = max(L[*it], x);
                    modify(segtree, x, R[x], 0, 0, len - 1);
                    if (it == s.begin()) L[x] = max(L[x], -1);
                    else
                    {
                        it--, L[x] = max(L[x], *it);
                        R[*it] = min(R[*it], x);
                        modify(segtree, *it, R[*it], 0, 0, len - 1);
                    }
                    s.insert(x);
                }
            }
            on[x] = !on[x];
        }
        else
        {
            int l, r;
            cin >> l >> r;
            int mn = find_val(segtree, l, r, 0, 0, len - 1);
            if (mn <= r) cout << "DA\n";
            else cout << "NE\n";
        }
    }
    return 0;
}
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