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Codeforces Round #697 (Div. 3) B - New Year‘s Number

技術標籤:Codeforcesc++

B. New Year’s Number

time limit per test:2 seconds
memory limit per test:256 megabytes
input:standard input
output:standard output

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
input

5
1
4041
4042
8081
8079

output

NO
YES
YES
YES
NO

題解:

#include<iostream>
using namespace std;
int ans[10000]={0},i=0;
int ps(int n){
	int a,b;
	a=n/2020;
	b=n/2021;
	for(int i=0;i<=a;i++){
		for(int j=0;j<=b;j++){
			if(i*2020+j*2021==n)
				return 1;
		}
	}
	return 0;
}
int main(){
	int t,n,tt;
	cin>>t;
	tt=t;
	while(t--){
		cin>>n;
		if(ps(n))
			ans[i++]=1;
		else
			i++;
	}
	for(int j=0;j<tt;j++){
		if(ans[j])
			cout<<"YES"<<endl;
		else
			cout<<"NO"<<endl;
	}
	return 0;
}