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 pll pair<ll, ll>
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define ld long double
#define sz(a) ((ll)(a).size())
using namespace std;
const ll maxn=500005;
ll d[maxn], inc[maxn];
int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    ll n, q; cin >> n >> q;
    for (ll i=1; i<=n; i++) cin >> d[i];
    for (ll i=0; i<=n; i++) inc[i]=i?(d[i]+inc[i-1]-1)/inc[i-1]*inc[i-1]:1;
    auto find=[&](ll idx, ll t){return -idx+t/inc[idx]*inc[idx];};
    for (ll i=1; i<=q; i++)
    {
        ll t, l, r; cin >> t >> l >> r;
        ll fir=0, las=0;
        // find first <=r
        {
            ll lo=0, hi=n+1;
            while (hi>lo)
            {
                ll mid=(lo+hi)/2;
                if (find(mid, t)<=r) hi=mid;
                else lo=mid+1;
            }
            fir=lo;
        }
        // find last >=l
        {
            ll lo=-1, hi=n;
            while (hi>lo)
            {
                ll mid=(lo+hi+1)/2;
                if (find(mid, t)>=l) lo=mid;
                else hi=mid-1;
            }
            las=lo;
        }
        cout << las-fir+1 << "\n";
    }
}
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