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;
const long long inf = (long long) 1e18 + 10;
const int inf1 = (int) 1e9 + 10;
#define int long long
#define dbl long double
#define endl '\n'
#define sc second
#define fr first
#define mp make_pair
#define pb push_back
#define all(x) x.begin(), x.end()
#define maxn 510000
int n, q, d[maxn];
void solve() {
cin >> n >> q;
for(int i = 1; i <= n; i++) {
cin >> d[i];
}
for(int i = 2; i <= n; i++) {
d[i] = d[i-1]*((d[i]+d[i-1]-1)/d[i-1]);
}
while(q--) {
int t,l,r;
cin >> t >> l >> r;
int l1 = 1;
int r1 = n;
int ans1 = 0;
//pos[i] >= pos[i-1]
//encontrar o menor i que tem pos <= r
while(l1 <= r1) {
int mid = (l1+r1)/2;
int pos = -mid+(t/d[mid])*d[mid];
if(pos <= r) {
ans1 = mid;
r1 = mid-1;
}
else {
l1 = mid+1;
}
}
int l2 = 1;
int r2 = n;
int ans2 = 0;
//pos[i] >= pos[i-1]
//encontrar o maior i que tem pos[i] >= l
while(l2 <= r2) {
int mid = (l2+r2)/2;
int pos = -mid+(t/d[mid])*d[mid];
if(pos >= l) {
ans2 = mid;
l2 = mid+1;
}
else {
r2 = mid-1;
}
}
int ans = max(0LL,ans2-ans1+1);
if(l <= t && t <= r) ans++;
cout << ans << endl;
}
}
int32_t main() {
ios::sync_with_stdio(false); cin.tie(0);
// freopen("in.in", "r", stdin);
//freopen("out.out", "w", stdout);
int tt = 1;
// cin >> tt;
while(tt--) solve();
}
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