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// Source : https://oj.leetcode.com/problems/word-search/
// Author : Hao Chen
// Date : 2014-07-19
/**********************************************************************************
*
* Given a 2D board and a word, find if the word exists in the grid.
*
* The word can be constructed from letters of sequentially adjacent cell,
* where "adjacent" cells are those horizontally or vertically neighboring.
* The same letter cell may not be used more than once.
*
* For example,
* Given board =
*
* [
* ["ABCE"],
* ["SFCS"],
* ["ADEE"]
* ]
*
* word = "ABCCED", -> returns true,
* word = "SEE", -> returns true,
* word = "ABCB", -> returns false.
*
*
**********************************************************************************/
#include <iostream>
#include <vector>
#include <string>
using namespace std;
bool exist(vector<vector<char> > &board, string word, int idx, int row, int col, vector< vector<int> > &mask) {
int i = row;
int j = col;
if (board[i][j] == word[idx] && mask[i][j]==0 ) {
mask[i][j]=1;
if (idx+1 == word.size()) return true;
idx++;
if (( i+1<board.size() && exist(board, word, idx, i+1, j, mask) ) ||
( i>0 && exist(board, word, idx, i-1, j, mask) ) ||
( j+1<board[i].size() && exist(board, word, idx, i, j+1, mask) ) ||
( j>0 && exist(board, word, idx, i, j-1, mask) ) )
{
return true;
}
mask[i][j]=0;
}
//if (board[i][j] != word[idx]) {
// mask[i][j]=0;
//}
return false;
}
bool exist(vector<vector<char> > &board, string word) {
if (board.size()<=0 || word.size()<=0) return false;
int row = board.size();
int col = board[0].size();
vector< vector<int> > mask;
for(int i=0; i<row; i++) {
vector<int> v(col);
mask.push_back(v);
}
for(int i=0; i<board.size(); i++) {
for(int j=0; j<board[i].size(); j++){
if ( board[i][j]==word[0] ){
vector< vector<int> > m = mask;
if( exist(board, word, 0, i, j, m) ){
return true;
}
}
}
}
return false;
}
vector< vector<char> > buildBoard(char b[][5], int r, int c) {
vector< vector<char> > board;
for (int i=0; i<r; i++){
vector<char> v(b[i], b[i]+c);
cout << b[i] << endl;
board.push_back(v);
}
cout << "----------" << endl;
return board;
}
int main(int argc, char** argv)
{
string s;
char b[3][5] ={ "ABCE", "SFCS", "ADEE" };
vector< vector<char> > board = buildBoard(b, 3, 4);
s = "SEE";
cout << s << ":" << exist(board, s) << endl;
s = "ABCCED";
cout << s << ":" << exist(board, s) << endl;
s = "ABCB";
cout << s << ":" << exist(board, s) << endl;
if (argc>1){
s = argv[1];
cout << s << ":" << exist(board, s) << endl;
}
cout << endl << "----------" << endl;
char b1[3][5] ={ "CAA", "AAA", "BCD" };
board = buildBoard(b1, 3, 3);
s = "AAB";
cout << s << ":" << exist(board, s) << endl;
cout << endl << "----------" << endl;
char b2[3][5] ={ "ABCE", "SFES", "ADEE" };
board = buildBoard(b2, 3, 4);
s = "ABCESEEEFS";
cout << s << ":" << exist(board, s) << endl;
cout << endl << "----------" << endl;
char b3[3][5] ={ "aaaa", "aaaa", "aaaa" };
board = buildBoard(b3, 3, 4);
s = "aaaaaaaaaaaaa";
cout << s << ":" << exist(board, s) << endl;
return 0;
}