#include <bits/stdc++.h>
#define int long long
using namespace std;
const int MAX = 500001;
int D[MAX], V[MAX];
signed main() {
ios_base::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int N, Q, T, L, R, X, ans;
cin >> N >> Q;
for (int i = 1; i <= N; i++) {
cin >> D[i];
if (i > 1)
D[i] = (D[i] + D[i - 1] - 1) / D[i - 1] * D[i - 1];
}
function<int(int, int)> get = [&](int T, int X) {
int st = 1, en = N, md, res = 0;
while (st <= en) {
md = st + en >> 1;
if ((T / D[md]) * D[md] - md >= X)
res = md, st = md + 1;
else
en = md - 1;
}
return res;
};
while (Q--) {
cin >> T >> L >> R, ans = T >= L && T <= R;
ans += get(T, L) - get(T, R + 1);
cout << ans << '\n';
}
return 0;
}
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