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You are given a positive integer $x$ . Find any such $2$ positive integers $a$ and $b$ such that $GCD(a,b)+LCM(a,b)=x$ .

As a reminder, $GCD(a,b)$ is the greatest integer that divides both $a$ and $b$ . Similarly, $LCM(a,b)$ is the smallest integer such that both $a$ and $b$ divide it.

It's guaranteed that the solution always exists. If there are several such pairs $(a, b)$ , you can output any of them.

The first line contains a single integer $t$ $(1 \le t \le 100)$ — the number of testcases.

Each testcase consists of one line containing a single integer, $x$ $(2 \le x \le 10^9)$ .

For each testcase, output a pair of positive integers $a$ and $b$ ( $1 \le a, b \le 10^9)$ such that $GCD(a,b)+LCM(a,b)=x$ . It's guaranteed that the solution always exists. If there are several such pairs $(a, b)$ , you can output any of them.

In the first testcase of the sample, $GCD(1,1)+LCM(1,1)=1+1=2$ .

In the second testcase of the sample, $GCD(6,4)+LCM(6,4)=2+12=14$ .