CF510B.Fox And Two Dots
普及/提高-
通过率:0%
时间限制:2.00s
内存限制:256MB
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题目描述
Fox Ciel is playing a mobile puzzle game called "Two Dots". The basic levels are played on a board of size n × m cells, like this:

Each cell contains a dot that has some color. We will use different uppercase Latin characters to express different colors.
The key of this game is to find a cycle that contain dots of same color. Consider 4 blue dots on the picture forming a circle as an example. Formally, we call a sequence of dots _d_1, _d_2, ..., d__k a cycle if and only if it meets the following condition:
- These k dots are different: if i ≠ j then d__i is different from d__j.
- k is at least 4.
- All dots belong to the same color.
- For all 1 ≤ i ≤ k - 1: d__i and d__i + 1 are adjacent. Also, d__k and _d_1 should also be adjacent. Cells x and y are called adjacent if they share an edge.
Determine if there exists a cycle on the field.
狐狸雪儿正在玩一款名为“两点”的手机益智游戏。基础关卡在一个 n×m 的方格棋盘上进行,如下图所示:

每个格子中包含一个带有某种颜色的点。我们使用不同的大写拉丁字母来表示不同的颜色。
该游戏的关键在于找出一个由同色点构成的环。例如,图中四个蓝色点构成一个环。形式化地,我们称点序列 d1,d2,…,dk 为一个环,当且仅当它满足以下条件:
- 这 k 个点互不相同:若 i=j,则 di=dj;
- k≥4;
- 所有点颜色相同;
- 对所有 1≤i≤k−1,di 与 di+1 相邻;且 dk 与 d1 也相邻。若两个格子 x 与 y 共享一条边,则称它们相邻。
请判断棋盘上是否存在这样的环。
输入格式
The first line contains two integers n and m (2 ≤ n, m ≤ 50): the number of rows and columns of the board.
Then n lines follow, each line contains a string consisting of m characters, expressing colors of dots in each line. Each character is an uppercase Latin letter.
第一行包含两个整数 n 和 m(2≤n,m≤50):棋盘的行数和列数。
接下来有 n 行,每行包含一个长度为 m 的字符串,表示该行中各点的颜色。每个字符均为大写拉丁字母。
输出格式
Output "Yes" if there exists a cycle, and "No" otherwise.
如果存在环,则输出“Yes”,否则输出“No”。
输入输出样例
输入#1
3 4 AAAA ABCA AAAA
输出#1
Yes
输入#2
3 4 AAAA ABCA AADA
输出#2
No
输入#3
4 4 YYYR BYBY BBBY BBBY
输出#3
Yes
输入#4
7 6 AAAAAB ABBBAB ABAAAB ABABBB ABAAAB ABBBAB AAAAAB
输出#4
Yes
输入#5
2 13 ABCDEFGHIJKLM NOPQRSTUVWXYZ
输出#5
No
说明/提示
In first sample test all 'A' form a cycle.
In second sample there is no such cycle.
The third sample is displayed on the picture above ('Y' = Yellow, 'B' = Blue, 'R' = Red).
在第一个样例测试中,所有 'A' 构成一个环。
在第二个样例中,不存在这样的环。
第三个样例显示在上方图片中('Y' = 黄色,'B' = 蓝色,'R' = 红色)。
输入解题思路,AI测评打分。不知道怎么写?