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>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 5e5 + 2;
const int inf = 1e9;
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int n, Q;
    cin >> n >> Q;
    vector<int> d(n), koef(n);
    for (int i = 0; i < n; i++) cin >> d[i];
    koef[0] = d[0];
    for (int i = 1; i < n; i++) {
        ll o = (d[i] - 1) / koef[i - 1];
        ll u = (ll) (koef[i - 1]) * (o + 1);
        if (u > 1e9) {
            for (int zz = 0; zz < n - i; zz++) {
                d.pop_back();
                koef.pop_back();
            }
            break;
        }
        koef[i] = koef[i - 1] * (o + 1);
    }
    n = d.size();
    vector<int> gde;
    gde.push_back(0);
    for (int i = 1; i < n; i++) if (koef[i] > koef[i - 1]) gde.push_back(i);
    int sz = gde.size();
    while (Q--) {
        int t, l, r;
        cin >> t >> l >> r;
        int ans = 0;
        for (int ii = 0; ii < sz; ii++) {
            int i = gde[ii]; int kr = (ii == sz - 1 ? n : gde[ii + 1]) - 1;
            int w = (t / koef[i]) * koef[i];
            int p = w - i - 1; int q = w - kr - 1;
            smax(q, l);
            smin(p, r);
            ans += max(0, min(p, r) - max(q, l) + 1);
        }
        ans += (l <= t && t <= r);
        cout << ans << en;
    }
    return 0;
}
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