79. Word Search

搜词,一个字母只能用一遍。

比较简单,无非是看4个方向……
public boolean exist(char[][] board, String word)
{
if (board == null) return false;
int row = board.length;
int col = board[0].length;

   	boolean[][] visitBoard = new boolean[row][col];
   	for(int m = 0; m < row;m++)
   	{
   		for(int n = 0; n < col;n++)
   		{
   			visitBoard[m][n] = false;

   		}
   	}
   
   for(int m = 0; m < row; m++)
   	for(int n = 0; n < col; n++)
   	{
   		if(word.charAt(0) == board[m][n]) 
   		{
   			visitBoard[m][n] = true;
   			if(helper(board,1,word,m,n,visitBoard)) return true;
   			visitBoard[m][n] = false;
   		}
   	}
   	return false;
}


public boolean helper(char[][] board, int at, String word,int m, int n,boolean[][] visitBoard)
{
	if(at == word.length()) return true;
	char tempChar = word.charAt(at);
	boolean res = false;
	//up
	if( n + 1 < board[0].length)
	{
		if(tempChar == board[m][n+1] && !visitBoard[m][n+1])
		{
			visitBoard[m][n+1] = true;
			res = res || helper(board,at+1,word,m,n+1,visitBoard);
			visitBoard[m][n+1] = false;
		}
	}
	//down
	if( n - 1 >= 0)
	{
		if(tempChar == board[m][n-1] && !visitBoard[m][n-1])
		{
			visitBoard[m][n-1] = true;
			res = res || helper(board,at+1,word,m,n-1,visitBoard);
			visitBoard[m][n-1] = false;

		}
	}
	//left
	if( m-1 >= 0)
	{
		if(tempChar == board[m-1][n] && !visitBoard[m-1][n])
		{
			visitBoard[m-1][n] = true;
			res = res || helper(board,at+1,word,m-1,n,visitBoard);
			visitBoard[m-1][n] = false;
		}
	}

	//right
	if( m+1 < board.length)
	{
		if(tempChar == board[m+1][n] &&  !visitBoard[m+1][n])
		{
			visitBoard[m+1][n] = true;
			res = res || helper(board,at+1,word,m+1,n,visitBoard);
			visitBoard[m+1][n] = false;

		}

	}
	return res;
}

写的很乱 改了几次 感觉完全可以写的更好
再说吧。。




二刷。

幸亏二刷昨晚比一刷的描述要好,否则没有进步真让我觉得自己是真蠢。True Dumb..

BackTrack吧,从每个点开始都试一次,boolean[][]标记使用过的元素,go deeper的条件是 找到 + deeper direction unvisited and in range

public class Solution 
{
    public boolean exist(char[][] board, String word) 
    {
        if(board.length == 0) return false;
        boolean[][] check = new boolean[board.length][board[0].length];
        
        for(int i = 0; i < board.length;i++)
        {
            for(int j = 0; j < board[0].length;j++)
            {
                check[i][j] = true;
                if(helper(i,j,board,word,check,0)) return true;
                check[i][j] = false;
            }
        }
        
        return false;
    }
    
    public boolean helper(int x, int y,char[][] board, String word, boolean[][] check,int m)
    {
        if(m == word.length()) return true;
        else
        {
            if(board[x][y] == word.charAt(m))
            {
                if(m == word.length()-1) return true;
                if(x > 0 && !check[x-1][y])
                {
                    check[x-1][y] = true;
                    if(helper(x-1,y,board,word,check,m+1)) return true;
                    check[x-1][y] = false;
                }
                if(y > 0 && !check[x][y-1])
                {
                    check[x][y-1] = true;
                    if(helper(x,y-1,board,word,check,m+1)) return true;
                    check[x][y-1] = false;
                }
                if(x < board.length-1 && !check[x+1][y])
                {
                    check[x+1][y] = true;
                    if(helper(x+1,y,board,word,check,m+1)) return true;
                    check[x+1][y] = false;
                }
                if(y < board[0].length-1 && !check[x][y+1])
                {
                    check[x][y+1] = true;
                    if(helper(x,y+1,board,word,check,m+1)) return true;
                    check[x][y+1] = false;
                }
                return false;
            }
            else return false;
        }
        
        
    }
}

BackTrack的题大多数比较基础,属于pure programming skill,基本和数学无关呀。。




三刷。
2D板子上进行DFS的题很多。。
三刷学着把DFS写简单点,主要是要在DFS的开头进行条件判断。
然后如果棋盘不是read only可以在棋盘上标记是否访问过,换成别的CHAR之类的再换回来。
然后如果多一个变量记录比较到WORD中哪一个字母,可以不用反复做substring,substring在java里很不友好。。

Time: O((mn)4^k) 感觉是这个,每次4个方向,depth是单词长度K,然后每个位置都要来一次。。

Space: O(mn) 不是read only的话可以O(1)?

public class Solution {
    public boolean exist(char[][] board, String word) {
        if (board.length == 0 || word.length() == 0) return false;
        boolean[][] visited = new boolean[board.length][board[0].length];
        for (int i = 0; i < board.length; i++) {
            for (int j = 0; j < board[0].length; j++) {
                if(dfs(board, visited, i, j, word)) {
                    return true;
                }
                visited[i][j] = false;
            }
        }
        return false;
    }
    
    public boolean dfs(char[][] board, boolean[][] visited, int m, int n, String word) {
        if (word.length() == 0) return true;
        if (m < 0 || m == board.length || n < 0 || n == board[0].length || visited[m][n] || board[m][n] != word.charAt(0)) return false;
        visited[m][n]= true;
        if (dfs(board, visited, m+1, n, word.substring(1)) || dfs(board, visited, m, n+1, word.substring(1)) || 
            dfs(board, visited, m-1, n, word.substring(1)) || dfs(board, visited,m, n-1, word.substring(1))) {
                return true;
            } else {
                visited[m][n] = false;
                return false;
            }   
    }
}
原文地址:https://www.cnblogs.com/reboot329/p/5875844.html