HDU 5675 ztr loves math

Posted 2020-07-08 月夜下

ztr loves math

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 896    Accepted Submission(s): 347

Problem Description

ztr loves research Math.One day,He thought about the "Lower Edition" of triangle equation set.Such as n = x²-y².

He wanted to know that ,for a given number n,is there a positive integer solutions?

 

 

Input

There are T test cases.
The first line of input contains an positive integer T(T <= 10⁶) indicating the number of test cases.

For each test case:each line contains a positive integer, n <= 10¹⁸.

 

 

Output

If there be a positive integer solutions,print "True", else print "False".

False

 

 

Sample Input

4

6

25

81

105

 

 

Sample Output

False

True

True

True

Hint

For the fourth case,$105 = 13^{2}-8^{2}$

 

 

Source

BestCoder Round #82 (div.2)

 

 

 

解析：枚举x和y，得到对应的n，打表找规律。

 

 

 

 1 #include <cstdio>
 2 
 3 long long n;
 4 int t;
 5 
 6 int main()
 7 {
 8     scanf("%d",&t);
 9     while(t--){
10         scanf("%I64d",&n);
11         if(n == 1 || n == 4 || n%4 == 2)
12             printf("False\n");
13         else
14             printf("True\n");
15     }
16     return 0;
17 }