CF1765M.Minimum LCM

You are given an integer $n$.

Your task is to find two positive (greater than $0$) integers $a$ and $b$ such that $a+b=n$ and the least common multiple (LCM) of $a$ and $b$ is the minimum among all possible values of $a$ and $b$. If there are multiple answers, you can print any of them.

给你一个整数 $n$。

你的任务是找出两个正整数（大于 $0$）$a$ 和 $b$，使得 $a + b = n$，且 $a$ 与 $b$ 的最小公倍数（LCM）在所有可能的 $a$、$b$ 取值中达到最小。如果存在多个答案，输出任意一个即可。

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

The first line of each test case contains a single integer $n$ ($2 \le n \le 10^9$).

第一行包含一个整数 $t$（$1 \le t \le 100$）—— 表示测试用例的数量。

每个测试用例的第一行包含一个整数 $n$（$2 \le n \le 10^9$）。

For each test case, print two positive integers $a$ and $b$ — the answer to the problem. If there are multiple answers, you can print any of them.

对于每个测试用例，输出两个正整数 $a$ 和 $b$ —— 即该问题的答案。如果存在多个答案，你可以输出其中任意一个。

In the second example, there are $8$ possible pairs of $a$ and $b$:

• $a = 1$, $b = 8$, $LCM(1, 8) = 8$;
• $a = 2$, $b = 7$, $LCM(2, 7) = 14$;
• $a = 3$, $b = 6$, $LCM(3, 6) = 6$;
• $a = 4$, $b = 5$, $LCM(4, 5) = 20$;
• $a = 5$, $b = 4$, $LCM(5, 4) = 20$;
• $a = 6$, $b = 3$, $LCM(6, 3) = 6$;
• $a = 7$, $b = 2$, $LCM(7, 2) = 14$;
• $a = 8$, $b = 1$, $LCM(8, 1) = 8$.

In the third example, there are $5$ possible pairs of $a$ and $b$:

• $a = 1$, $b = 4$, $LCM(1, 4) = 4$;
• $a = 2$, $b = 3$, $LCM(2, 3) = 6$;
• $a = 3$, $b = 2$, $LCM(3, 2) = 6$;
• $a = 4$, $b = 1$, $LCM(4, 1) = 4$.

在第二个例子中，共有 $8$ 种可能的 $a$ 和 $b$ 的配对：

• $a = 1$, $b = 8$, $LCM(1, 8) = 8$;
• $a = 2$, $b = 7$, $LCM(2, 7) = 14$;
• $a = 3$, $b = 6$, $LCM(3, 6) = 6$;
• $a = 4$, $b = 5$, $LCM(4, 5) = 20$;
• $a = 5$, $b = 4$, $LCM(5, 4) = 20$;
• $a = 6$, $b = 3$, $LCM(6, 3) = 6$;
• $a = 7$, $b = 2$, $LCM(7, 2) = 14$;
• $a = 8$, $b = 1$, $LCM(8, 1) = 8$.

在第三个例子中，共有 $5$ 种可能的 $a$ 和 $b$ 的配对：

• $a = 1$, $b = 4$, $LCM(1, 4) = 4$;
• $a = 2$, $b = 3$, $LCM(2, 3) = 6$;
• $a = 3$, $b = 2$, $LCM(3, 2) = 6$;
• $a = 4$, $b = 1$, $LCM(4, 1) = 4$.