B. New Year's Numbertime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputPolycarp 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.InputThe first line contains one integer t (1 \leq t \leq 10^4) — the number of test cases. Then t test cases follow.Each test case contains one integer n (1 \leq n \leq 10^6) — the number that Polycarp wants to represent as the sum of the numbers 2020 and 2021.OutputFor 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).ExampleInput
5
1
4041
4042
8081
8079
Output
NO
YES
YES
YES
NO

5
1
4041
4042
8081
8079

NO YES YES YES NO 
['brute force', 'dp', 'math', '*900']