Problem H
Simple Factoring
Ms. Alice was working on making some factoring homework for her students last week, where the students get questions in the form of $ax^2+bx+c$, and must rewrite the expression in the form $(dx+ e)(fx + g)$, where $a,b,c,d,e,f,g$ are integers. She is done making the questions, but wants someone to check them over to make sure the expressions are factorable.
The expression $ax^2+bx+c$ is factorable if and only if the expression $ax^2+bx+c$ is able to be successfully rewritten in the form $(dx+ e)(fx + g)$, where $a,b,c,d,e,f,g$ are integers.
To help Ms. Alice, you must check if each question is factorable!
Input
The first line contains the number of test cases $0<n\le 100$. The next $n$ lines each consist of three space separated integers $0<a,b,c\leq 10^{8}$.
Output
For each test case, output a line consisting of “YES” if factorable, and “NO” otherwise.
| Sample Input 1 | Sample Output 1 |
|---|---|
4 1 2 1 1 3 1 24 73 24 12 33 6 |
YES NO YES NO |
