Given a matrix of lower alphabets and a dictionary. Find all words in the dictionary that can be found in the matrix. A word can start from any position in the matrix and go left/right/up/down to the adjacent position.

Example

Given matrix:

doaf
agai
dcan

and dictionary:

{"dog", "dad", "dgdg", "can", "again"}
 
return {"dog", "dad", "can", "again"}
 
Analysis:
DFS. For every word in the list, check every position of board, if the char at some position matches the first char in the word, then start a DFS at this position.
 
Solution:
 public class Solution {
/**
* @param board: A list of lists of character
* @param words: A list of string
* @return: A list of string
*/
public ArrayList<String> wordSearchII(char[][] board, ArrayList<String> words) {
ArrayList<String> res = new ArrayList<String>();
if (board.length==0) return res;
int rowNum = board.length;
if (board[0].length==0) return res;
int colNum = board[0].length; for (int i=0;i<words.size();i++){
String word = words.get(i);
if (word.length()==0) continue;
for (int j=0;j<rowNum;j++){
boolean valid = false;
for (int k=0;k<colNum;k++)
if (board[j][k]==word.charAt(0)){
boolean[][] visited = new boolean[rowNum][colNum];
for (int p = 0;p<rowNum;p++)
Arrays.fill(visited[p],false);
valid = isValidWord(board,visited,word,0,j,k);
if (valid){
res.add(word);
break;
}
}
if (valid) break;
}
} return res;
} public boolean isValidWord(char[][] board, boolean[][] visited, String word, int pos, int x, int y){
if (x<0 || x>=board.length || y<0 || y>=board[0].length) return false;
if (word.charAt(pos)!=board[x][y] || visited[x][y]) return false; if (pos==word.length()-1)
return true; visited[x][y] = true;
if (isValidWord(board,visited,word,pos+1,x+1,y) || isValidWord(board,visited,word,pos+1,x-1,y) || isValidWord(board,visited,word,pos+1,x,y+1) || isValidWord(board,visited,word,pos+1,x,y-1))
return true;
else {
visited[x][y]=false;
return false;
}
}
}

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