UVA1103 古代象形符号 Ancient Messages

# 古代象形文字讯息 为了理解早期文明，考古学家常常研究用古代语言书写的文本。 其中一种语言，约 $3000$ 多年前在埃及使用的语言，基于一种叫做象形文字的字符。 图 C.1 显示了六个象形文字及其名称。在本题中，您将编写一个程序来识别这六个字符。 

输入包含多个测试用例，每个测试用例描述了一个图像，图像包含一个或多个从图 C.1 中选择的象形文字。 图像以一系列水平扫描线的形式给出，扫描线由黑色像素（用 `1` 表示）和白色像素（用 `0` 表示）组成。 在输入数据中，每行扫描线以十六进制表示。例如，八个像素的序列 `10011100`（一个黑色像素，后跟两个白色像素，依此类推）将以十六进制表示为 `9c`。 十六进制编码仅使用数字和小写字母 `a` 到 `f`。 每个测试用例的第一行包含两个整数，`H` 和 `W`。 - `H` ($0 < H \le 200$) 是图像中的扫描行数。 - `W` ($0 < W \le 50$) 是每行中的十六进制字符数。 接下来的 `H` 行包含图像的十六进制字符，按从上到下的顺序排列。 输入图像遵循以下规则： - 图像仅包含图 C.1 中显示的象形文字。 - 每个图像至少包含一个有效的象形文字。 - 图像中的每个黑色像素都是有效象形文字的一部分。 - 每个象形文字由一组连接的黑色像素组成，每个黑色像素至少有一个其他黑色像素在其上、下、左或右侧。 - 象形文字之间不相接，且没有象形文字包含在另一个象形文字内部。 - 两个对角线接触的黑色像素总是有一个共同的接触黑色像素。 - 象形文字可能会失真，但每个象形文字的形状在拓扑上等价于图 C.1 中的某个符号。（如果两个图形能够通过拉伸而不撕裂转变为彼此，它们在拓扑上是等价的） 最后一个测试用例后面跟着一行 `0 0`，代表输入结束。

对于每个测试用例，输出其用例编号，后跟一个字符串，字符串中的每个字符代表图像中识别出的每个象形文字，使用以下代码： - Ankh: A - Wedjat: J - Djed: D - Scarab: S - Was: W - Akhet: K 在每个输出字符串中，按**字典序**输出这些代码。请遵循样例输出的格式。 样例输入包含描述测试用例的内容，见图 C.2 和 C.3。 

### 样例输入 ``` 100 25 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 00000f8000000000000000000 00001fe000000000000000000 00007ff000000000000000000 00007ff800000000000000000 0000f8f800000000000000000 0001f07c00000000000000000 0001e03c00000000001800000 0001e01c00000000003c00000 0001c01c00000000007c00000 0003c01e0000000000f800000 0003c01e0000000001f000000 0001c01c0000000003f000000 0001c01c0000000007e000000 0001e01c000000000fc000000 0001e03c000000001fc000000 0000e03c000000001fc000000 0000f038000000003ff000000 0000f078000000003ff800000 00007870000000007ff800000 000038f0000000007cfc00000 00003ce0000000007c7c00000 00781fc0f0000000f87c00000 007ffffff0000000f07c00000 007ffffff0000000f07c00000 007ffffff0000001f07c00000 007ffffff0000000e03e00000 007fcf81f0000000603e00000 00000f8000000000003e00000 00000f8000000000003e00000 00000f8000000000003e00000 00000f8000000000001e00000 00000f8000000000001f00000 00000fc000000000001f00000 00000fc000000000001f00000 00000fc000000000001f00000 00000fc000000000000f00000 00001fc000000000000f80000 00001fc000000000000f80000 00001fc000000000000f80000 00001fc000000000000f80000 00001fe000000000000f80000 00001fe000000000000780000 00001fe0000000000007c0000 00001fe0000000000007c0000 00003fe0000000000007c0000 00003fe0000000000007c0000 00003fe0000000000007c0000 00003fe0000c00000003c0000 00000000003ff0000003c0000 00000000007ff8000003e0000 0000000001fffc000003e0000 0000000003e03f000003e0000 0000000007c00f000003e0000 000000000f0003800003f0000 000000000e0001c00003fc000 000000001c0001e00007fe000 000000003c0000e0000fff000 000000073c000070000fdf000 0000001ff8000070001f0f800 0000001ff8000070001e07800 0000003cf0000078001e03800 0000003870000033001e03800 000000307800003fc01e03800 000000703800007fe00e03800 000000703800007ce00e03800 000000703c000078700703800 000000701e0000f0700701000 000000701e0000e0700300000 000000700f0001c0700000000 0000006007800380600000000 000000e003e00700600000000 000000e001fe7e00600000000 000000e000fffc00e00000000 000000e0000ff000e00000000 000000f800038000e00000000 000000fff0000000e00000000 000000fffff00000e00000000 00000003ffffe000c00000000 0000000007ffffc0c00000000 000000000007ffffc00000000 0000000000000fffc00000000 000000000000001fc00000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 0000000000000000000000000 150 38 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000003000000000 00000f80000000001fff000000007800000000 00001fe0000000007fff80000000ff00000000 00007ff000000000ffffe0000001ff80000000 00007ff800000003fffff0000001fffc000000 0000f8f800000007fffffc000001fffe000000 0001f07c0000000ffffffe000000ffff000000 0001e03c0000001fffffff000000ffff800000 0001e01c0000003fffffff0000007fffc00000 0001c01c0000003fffffff8000007fefc00000 0003c01e0000007fffffffc000003f83c00000 0003c01e000000ffffffffc000001f81e00000 0001c01c000000fffc0fffe000001f01e00000 0001c01c000001fff003ffe000000f01e00000 0001e01c000001ffe001fff000000f00e00000 0001e03c000003ffc0007ff000001e00f00000 0000e03c000003ff80007ff800001e00f00000 0000f038000007ff80003ff800001e00f00000 0000f078000007ff00003ff800001e00f00000 00007870000007ff00001ffc00000e00e00000 000038f000000fff00001ffc00000e00e00000 00003ce000000ffe00000ffc00000e00e00000 00781fc0f0000ffe00000ffc00000f00e00000 007ffffff0000ffc00000ffc00000f01e00000 007ffffff0000ffc00000ffc00000f01e00000 007ffffff0000ffc00000ffc00000701c00000 007ffffff0000ffc00000ffc00000781c00000 007fcf81f0000ffc000007fc00000783c00000 00000f8000000ffc000007fc00000383800000 00000f8000000ffc000007fc000003c7800000 00000f8000000ffc000007fc000001c7800000 00000f8000000ffc000007fc000001e7000000 00000f8000000ffc000007fc000200ef008000 00000fc000000ffc00000ffc0003f8fe3f8000 00000fc000000ffc00000ffc0003ffffff8000 00000fc000000ffc00000ffc0003ffffff8000 00000fc000000ffc00000ffc0003ffffff8000 00001fc000000ffc00000ffc0003ffffff8000 00001fc0000007fe00000ff80003ffffff8000 00001fc0000007fe00000ff80003fffdff8000 00001fc0000007fe00000ff80003c03c000000 00001fe0000007ff00001ff80000007c000000 00001fe0000003ff00001ff00000007c000000 00001fe0000003ff00001ff00000007c000000 00001fe0000001ff80003ff00000007c000000 00003fe0000001ff80003fe00000007c000000 00003fe0000001ff80003fe00000007c000000 00003fe0000000ffc0007fe00000007c000000 00003fe0000000ffc0007fc00000007c000000 000000000000007fe0007fc00000007c000000 000000000000007fe000ff800000007c000000 000000000000007ff001ff800000007c000000 000000000000003ff001ff800000007c000000 000000000000001ff803ff000000007c002000 000000000000001ff803ff000000007c006000 000000000000000ffc07fe000000007c006000 000000000000000ffc0ffc000000007c00c000 000000000000000ffe0ffc000000003e01c000 0000000000000007ff0ff8000000003f03c000 0000000000000003ff1ff0000000003f8f8000 0000000003c00001ffbff00000f0001fff8000 0000000003ffc001ffffe0007ff0000fff8000 0000000003fffff1ffffe3fffff00007ff8000 0000000003fffffffffffffffff00001ff0000 0000000003fffffffffffffffff00000ff0000 0000000003fffffffffffffffff000007f0000 0000000003fffffffffffffffff000001e0000 0000000003fffffffffffffffff000000e0000 0000000003fffffffffffffffff00000020000 0000000003fffffffffffffffff00000000000 0000000003fffffffffffffffff00000000000 0000000003fffffffffffffffff00000000000 0000000003fffffffffffffffff00000000000 0000000003fffffffffffffffff00000000000 0000000003fffffffffffffffff00000000000 0000000003fffffc1ffe0007fff00000000000 0000000003ff80000ffe000000f00000000000 00000000038000000ffe000000000000000000 00000000000000001fff000000000000000000 00000000000000001fff000000000000000000 00000000000000001fff000000000000000000 00000000000000001fff000000000000000000 00000000000000001fff000000000000000000 00000000000000001fff000000000000000000 00000000000000003fff000000000000000000 00000000000000003fff000000000000000000 00000000000000003fff0000000fc000000000 000000000fe000003fff8000003ff000000000 000000003ffc00003fff8000007ffc00000000 00000000fffe00003fff800000fcfc00000000 00000001f01f00003fff800001f03e00000000 00000003e00f80003fff800003e01f00000000 00000003e00780003fff800003e00f00000000 00000003e00780003fff800003c00f00000000 00000003e00f80003fff800003c00f00000000 00000001f00f00007fff800003c00f00000000 00000000f81e00007fffc00003e00f00000000 000000007c3c00007fffc00001e01e00000000 000000003e7800007fffc00000f01e00000000 000000fffffffe007fffc00000f03c00000000 000000fffffffe007fffc00000787800000000 000000fffffffe007fffc000003cf000000000 0000000007c000007fffe000f81fe07c000000 0000000007e000007fffe000fffffffc000000 0000000007e000007fffe000fffffffc000000 000000000fe000007fffe000fffffffc000000 000000000ff00000ffffe000ffc7c0fc000000 000000000ff00000ffffe0000007c000000000 000000001ff00000ffffe000000fc000000000 000000001ff00000ffffe000000fc000000000 000000001ff80000ffffe000000fc000000000 000000001ff80000ffffe000000fc000000000 000000003ff80001ffffe000000fe000000000 000000003ff80001ffffe000000fe000000000 0000000000000001fffff000001fe000000000 0000000000000001fffff000001fe000000000 0000000000000001fffff000001fe000000000 0000000000000001fffff000001ff000000000 0000000000000001fffff000001ff000000000 0000000000000001fffff000001ff000000000 0000000000000001fffff000003ff000000000 0000000000000001fffff000003ff000000000 0000000000000001fffff000003ff000000000 0000000000000001fffff80000000000000000 0000000000000003fffff80000000000000000 0000000000000003fffff80000000000000000 0000000000000003fffff80000000000000000 0000000000000003fffff80000000000000000 0000000000000003fffff80000000000000000 0000000000000003fffff80000000000000000 0000000000000003fffff80000000000000000 0000000000000003fffffc0000000000000000 0000000000000003fffffc0000000000000000 0000000000000007fffffc0000000000000000 0000000000000007fffffc0000000000000000 0000000000000007fffffc0000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 00000000000000000000000000000000000000 0 0 ``` ### 样例输出 ``` Case 1: AKW Case 2: AAAAA ``` Translated by UID 820947.