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#16081. 火柴

Statistiques

火柴棒是表示数字的理想工具。用火柴棒表示十个十进制数字的一种常见方法如下:

这与普通闹钟上显示数字的方式完全相同。给定一定数量的火柴棒,你可以拼出许多不同的数字。我们想知道,在使用你拥有的所有火柴棒的情况下,能拼出的最小和最大数字分别是多少。

输入格式

第一行包含一个正整数:测试用例的数量,最多为 100。接下来对于每个测试用例:

  • 一行,包含一个整数 $n$ ($2 \le n \le 100$):你拥有的火柴棒数量。

输出格式

对于每个测试用例:

  • 输出一行,包含你能拼出的最小和最大数字,用一个空格隔开。这两个数字都必须是正数,且不能含有前导零。

样例

输入样例 1

4
3
6
7
15

输出样例 1

7 7
6 111
8 711
108 7111111

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