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;
/*ifstream fin("input.in");
ofstream fout("output.out");
#define cin fin
#define cout fout*/
#define int long long
int n,q;
int d[500005];
int p[500005];
int ultmare[500005];
int calc_cur(int j, int t)
{
int i = ultmare[j];
return (-i + (t/p[i]) * p[i]) - (j - i);
}
void calc_p()
{
int mxm=d[1];
p[1]=d[1];
ultmare[1]=1;
for(int i=2;i<=n;i++)
{
if(d[i]>=mxm)
{
mxm=((d[i]-1)/mxm + 1)*mxm;
p[i]=mxm;
ultmare[i]=i;
}
else
{
ultmare[i]=ultmare[i-1];
}
}
}
signed main()
{
ios_base::sync_with_stdio(0);cin.tie(0);
cin>>n>>q;
for(int i=1;i<=n;i++)
cin>>d[i];
calc_p();
int le,ri,t;
while(q--)
{
cin>>t>>le>>ri;
int cnt=0;
if(le<=t && t<=ri)
cnt++;
if(calc_cur(n,t)<=ri && calc_cur(1,t)>=le)
{
int st,dr,mij,ans=1;
st=1;
dr=n;
while(st<=dr)
{
mij=(st+dr)/2;
if(calc_cur(mij,t)<=ri)
{
ans=mij;
dr=mij-1;
}
else
st=mij+1;
}
cnt -= ans;
ans=n;
st=1;
dr=n;
while(st<=dr)
{
mij=(st+dr)/2;
if(calc_cur(mij,t)>=le)
{
ans=mij;
st=mij+1;
}
else
dr=mij-1;
}
cnt += ans + 1;
}
cout<<cnt<<"\n";
}
return 0;
}
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