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Given a 2-D grid of characters board and a string word, return true if the word is present in the grid, otherwise return false.

For the word to be present it must be possible to form it with a path in the board with horizontally or vertically neighboring cells. The same cell may not be used more than once in a word.

 

Input:
board = [
[“A”,”B”,”C”,”D”],
[“S”,”A”,”A”,”T”],
[“A”,”C”,”A”,”E”]
],
word = “CAT”

Output: true

				
					 public boolean exist(char[][] board, String word) {
        int m = board.length;
        int n = board[0].length;
        
        for (int i = 0; i < m; i++) {
            for (int j = 0; j < n; j++) {
                if (board[i][j] == word.charAt(0)) {
                    if (dfs(board, word, 0, i, j, m, n)) {
                        return true;
                    }
                }
            }
        }
        
        return false;
    }
    
    private boolean dfs(char[][] board, String word, int index, int i, int j, int m, int n) {
        if (i < 0 || i >= m || j < 0 || j >= n || board[i][j] != word.charAt(index)) {
            return false;
        }
        if (index == word.length() - 1) {
            return true;
        }
        
        board[i][j] = '#';
        
        if (dfs(board, word, index + 1, i - 1, j, m, n)
            || dfs(board, word, index + 1, i + 1, j, m, n)
            || dfs(board, word, index + 1, i, j - 1, m, n)
            || dfs(board, word, index + 1, i, j + 1, m, n)) {
            return true;
        }
        
        board[i][j] = word.charAt(index);
        return false;
    }
				
			
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