【leetcode】947. Most Stones Removed with Same Row or Column

题目如下：

On a 2D plane, we place stones at some integer coordinate points.  Each coordinate point may have at most one stone.

Now, a move consists of removing a stone that shares a column or row with another stone on the grid.

What is the largest possible number of moves we can make?

 

Example 1:

Input: stones = [[0,0],[0,1],[1,0],[1,2],[2,1],[2,2]]
Output: 5

Example 2:

Input: stones = [[0,0],[0,2],[1,1],[2,0],[2,2]]
Output: 3

Example 3:

Input: stones = [[0,0]]
Output: 0

 

Note:

1. 1 <= stones.length <= 1000
2. 0 <= stones[i][j] < 10000

解题思路：题目解法本身不难，难点在于包了一个壳，去掉壳后就能看到本质了。本题的壳就是分组，把所有行相同或者列相同的元素分进同一个组，计算出一个有多少个组，删除操作完成后，每个组都会留下一个元素。最后的结果就是stones的个数减去组的个数。至于怎么求组的个数，DFS或者并查集都是可行的方法。我的解法是用DFS，最初用的是visit数组来保存元素是否遍历过，但是python语言会超时，只好改成每遍历完一个元素，都将其从stones中删除。

代码如下：

class Solution(object):
    def removeStones(self, stones):
        """
        :type stones: List[List[int]]
        :rtype: int
        """
        group = 0
        original_len = len(stones)
        while len(stones) > 0:
            group += 1
            queue = [(stones[0][0],stones[0][1])]
            del stones[0]
            while len(queue) > 0:
                r, c = queue.pop(0)
                inx_internal = 0
                while inx_internal < len(stones):
                    if r == stones[inx_internal][0] or c == stones[inx_internal][1]:
                        queue.append((stones[inx_internal][0], stones[inx_internal][1]))
                        del stones[inx_internal]
                    else:
                        inx_internal += 1
        return original_len - group