2467. Jigsaw Puzzles

单点时限: 2.0 sec

内存限制: 256 MB

The cows have taken up alphabetical jigsaw puzzles. In these puzzles with () rows and () columns, the edges are not funny-shaped cardboard shapes but rather are letters.

Each piece has a serial number and letters (or borders) that must be aligned as in a regular jigsaw puzzle. The pseudo-letter ‘0’ (the digit 0) will represent a border (and a piece can have several borders if it is a corner piece or even the top of column in a, e.g., 4x1 puzzle). Below is a set of six pieces (the borders are marked with lines instead of ‘0’s) assembled in one way (of many) that completes the puzzle:
of column in a, e.g., 4x1 puzzle). Below is a set of six pieces (the borders are marked with lines instead of ‘0’s) assembled in one way (of many) that completes the puzzle:

              +---+  +---+  +---+
              | 1 c  c 3 d  d 5 |
              +-d-+  + a +  +-e-+

              +-d-+  +-a-+  +-e-+
              | 2 b  b 4 b  b 6 |
              +---+  +---+  +---+

Note that each edge letter of each piece matches the border letter of the piece adjacent to it; the borders appear properly on the top, bottom, and sides. Pieces are represented by a serial number and a clockwise list of their four edges (where edges are the letters a..z and 0). Pieces might require rotation when placed in the puzzle. Given a set of pieces, find at least one way to assemble them into a puzzle. Test data for puzzles with larger and are easier to solve because they have a more varied set of edge letters.

输入格式

  • Line 1: Two space-separated integers: and

  • Lines 2..: Each line contains five space-separated entities: an integer serial number and four edge identifiers

输出格式

  • Lines 1..: Line describes the puzzle piece placed a row , column with an integer and five space-separated entities: the serial number of the puzzle piece and the four piece edge identifiers in the order top, right, bottom, left.

样例

Input
2 3
1 c d 0 0
2 0 d b 0
3 c 0 d a
4 b a b 0
5 d 0 0 e
6 0 0 b e
Output
1 0 c d 0
3 0 d a c
5 0 0 e d
2 d b 0 0
4 a b 0 b
6 e 0 0 b

提示

INPUT DETAILS:
Describes the input puzzle although with some of the pieces rotated compared to the sample solution.

OUTPUT DETAILS:
As shown in the diagram in the task text. Other solutions (like reflections) are possible; a grading program will check your answer.

3 人解决,6 人已尝试。

5 份提交通过,共有 11 份提交。

8.3 EMB 奖励。

创建: 10 年,10 月前.

修改: 2 年前.

最后提交: 2 年前.

来源: USACO 2008 DEC

题目标签