神秘正方形 - 問題

#5874. 神秘正方形

統計

この問題は以下のコンテストで使用されています：

Google Code Jam 2011 Round 3

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

我写下了一个很大的二进制完全平方数，然后将其中的一些数字替换成了问号。你能找出我原来的数字是什么吗？

输入格式

输入的第一行包含测试用例的数量 $T$。接下来有 $T$ 行，每行包含一个字符串 $S$：一个用二进制表示的完全平方数，其中一些数字被替换成了问号。

输出格式

对于每个测试用例，输出一行 "Case #x: $N$"，其中 $x$ 是测试用例编号（从 1 开始），$N$ 是通过将 $S$ 中的每个 '?' 字符替换为 '0' 或 '1' 而得到的二进制完全平方数。

样例

输入格式 1

3
1???
1
10??110??00??1000??

输出格式 1

Case #1: 1001
Case #2: 1
Case #3: 1011110110000100001

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