1475B - New Year's Number.cpp

/*
Polycarp remembered the 2020-th year, and he is happy with the arrival of the new 2021-th year. To remember such a wonderful moment, Polycarp wants to represent the number n as the sum of a certain number of 2020 and a certain number of 2021.

For example, if:

n=4041, then the number n can be represented as the sum 2020+2021;
n=4042, then the number n can be represented as the sum 2021+2021;
n=8081, then the number n can be represented as the sum 2020+2020+2020+2021;
n=8079, then the number n cannot be represented as the sum of the numbers 2020 and 2021.
Help Polycarp to find out whether the number n can be represented as the sum of a certain number of numbers 2020 and a certain number of numbers 2021.

Input
The first line contains one integer t (1=t=104) — the number of test cases. Then t test cases follow.

Each test case contains one integer n (1=n=106) — the number that Polycarp wants to represent as the sum of the numbers 2020 and 2021.

Output
For each test case, output on a separate line:

"YES" if the number n is representable as the sum of a certain number of 2020 and a certain number of 2021;
"NO" otherwise.
You can output "YES" and "NO" in any case (for example, the strings yEs, yes, Yes and YES will be recognized as positive).

Example
inputCopy
5
1
4041
4042
8081
8079
outputCopy
NO
YES
YES
YES
NO/




#include<bits/stdc++.h>
using namespace std;


int main(){
    ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	
	int t;
	cin >> t;
	
	while (t--) {
		int n;
		cin >> n;
		
		int k = n / 2020;
		int r = n % 2020;
		
		r > k ? cout << "NO\n" : cout << "YES\n";
	}
	
    return 0;
}