1579.The Right-angled Triangles with Sides of Integral Length

Time Limit: 1s Memory Limit: 256MB

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Consider the right-angled triangles with sides of integral length.
Give you the integral length of the hypotenuse of a right-angled triangle. Can it construct a right triangle with given hypotenuse $c$ such that the two legs of the triangle are all integral length?

Input Format(From the terminal/stdin)

There are several test cases. The first line contains an integer $T(1≤T≤1,000)$, $T$ is the number of
test cases.

The following $T$ lines contain $T$ test cases, each line contains one test case. For each test case,
there is an integer : $c$, the length of hypotenuse.$(1≤c≤45,000)$.

Output Format(To the terminal/stdout)

For each case, output Yes if it can construct a right triangle with given hypotenuse $c$ and sides of
integral length , No otherwise.

Sample Input

Copy
4
5
6
15
13
 \n
 \n
 \n
  \n
  \n

Sample Output

Copy
Yes
No
Yes
Yes
   \n
  \n
   \n
   \n
Source: 2018 HNU新生赛

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