#include<bits/stdc++.h>
using namespace std;
int main()
{
int t;
cin>>t;
while(t--)
{
int n;cin>>n;
int count=0;
if(n<2020)
{
cout<<"NO"<<"\n";
}
else
{
if((n%2020)==0 || (n%2021)==0)
{
count++;
}
}
if(count%2==0)
{
cout<<"NO"<<"\n";
}
else
{
cout<<"YES"<<"\n";
}
}
}
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