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>
using namespace std;
int main()
{
    long long N, Q;
    cin >> N >> Q;
    N++;
    vector<long long> Tab(N);
    for (long long i = 1; i < N; i++)
    {
        cin >> Tab[i];
    }
    Tab[0] = 1;
    vector<long long> step(N);
    long long cur = 1;
    for (long long i = 0; i < N; i++)
    {
        cur = cur * ceil((double)Tab[i] / cur);
        step[i] = cur;
    }
    for (long long i = 0; i < Q; i++)
    {
        long long T, L, R;
        cin >> T >> L >> R;
        long long l = 0, r = N;
        if (T - T % step[0] - 0 < L)
            l = -1;
        else
            while (l + 1 != r)
            {
                long long m = (l + r) / 2;
                if (T - T % step[m] - m >= L)
                    l = m;
                else
                    r = m;
            }
        long long temp = l;
        l = 0, r = N;
        if (T - T % step[0] - 0 <= R)
            l = -1;
        else
            while (l + 1 != r)
            {
                long long m = (l + r) / 2;
                if (T - T % step[m] - m > R)
                    l = m;
                else
                    r = m;
            }
        cout << temp - l << '\n';
    }
}
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