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#12747. 闹钟

統計

Alice 喜欢她的数字闹钟。她每天晚上都会设置闹钟。昨晚 Alice 做了一个关于她闹钟的梦。不幸的是,她唯一能记住的就是闹钟上高亮显示的段数。Alice 想知道她梦中闹钟设置的时间是多少。

Alice 的闹钟有四位数字:两位表示小时,两位表示分钟。例如,下方的时钟显示的是 9:30(注意前导零)。

该闹钟使用以下数字表示法:

输入格式

输入文件的唯一一行包含一个整数 $n$ —— Alice 梦中闹钟高亮显示的段数 ($0 \le n \le 30$)。

输出格式

输出五个字符,格式为 “hh:mm”,表示 Alice 梦中闹钟显示的时间。时间必须是合法的:$0 \le hh < 24$ 且 $0 \le mm < 60$。如果存在多个可能的正确时间,输出其中任意一个即可。如果不存在,输出 “Impossible”。

样例

样例输入 1

23

样例输出 1

09:30

样例输入 2

28

样例输出 2

Impossible

样例输入 3

2

样例输出 3

Impossible

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