二进制回文 - Problème

#13210. 二进制回文

Statistiques

AI Translation — This statement was translated using AI and may contain inaccuracies. Please refer to the original statement if in doubt.

对于每个从 $1$ 到 $n$ 的整数 $i$，你需要输出一个长度为 $n$、仅由字母 ‘a’ 和 ‘b’ 组成的字符串 $s_i$。字符串 $s_i$ 必须恰好包含 $i$ 个不同的回文子串。如果两个子串作为字符串本身不同，则认为它们是不同的。

输入格式

输入包含一个整数 $n$ ($1 \le n \le 43$)。

输出格式

你需要输出 $n$ 行。对于某个 $i$，如果存在满足条件的答案，请以 “$i : s_i$” 的格式输出，其中 $s_i$ 是可能的字符串之一。否则，输出 “$i : \text{NO}$”。

样例

样例输入 1

样例输出 1

1 : NO
2 : NO
3 : NO
4 : aaaa

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