I tried the below code, but it didn't give me the right answer.
Here is the problem statement.
Suppose you have a 2-D grid. Each point is either land or water. There is also a start point and a goal.
There are now keys that open up doors. Each key corresponds to one door.
Implement a function that returns the shortest path from the start to the goal using land tiles, keys and open doors.
Data Representation
The map will be passed as an array of strings.
A map can have the following tiles.
0 = Water1 = Land2 = Start3 = Goaluppercase = doorlowercase = keyThe grid can be like this:
{{'0', '2', '1', '1', '1'}, {'0', '1', '0', '0', '1'}, {'0', '0', '0', '0', '1'}, {'0', '0', 'A', '0', '1'}, {'1', '1', 'a', '1', '1'}, {'1', 'b', '0', '0', 'B'}, {'1', '1', '0', '0', '1'}, {'0', '1', '0', '0', '3'}};So the shortest path should be: 01->02->03->04->14->24->34->44->43->42->41->51->41->42->43->44->54->64->74
And my codes go like:
public class shortestPath {
static int shortest = Integer.MAX_VALUE;
static String path = "";
static ArrayList<ArrayList<int[]>> res = new ArrayList<ArrayList<int[]>>();
public static void main(String[] args) {
char[][] board = {{'0', '2', '1', '1', '1'},
{'0', '1', '0', '0', '1'},
{'0', '0', '0', '0', '1'},
{'0', '0', 'A', '0', '1'},
{'1', '1', 'a', '1', '1'},
{'1', 'b', '0', '0', 'B'},
{'1', '1', '0', '0', '1'},
{'0', '1', '0', '0', '3'}};
System.out.println(findShortest(board));
System.out.println(path);
}
public static int findShortest(char[][] board) {
if (board == null || board.length == 0 || board[0].length == 0) return 0;
int row = board.length;
int col = board[0].length;
int[] start = new int[2];
int[] end = new int[2];
int[][] visited = new int[row][col];
HashMap<Character, ArrayList<int[]>> hm = new HashMap<>();
for (int i = 0; i < row; i++) {
for (int j = 0; j < col; j++) {
if (board[i][j] == '2') {
start = new int[]{i, j};
}
if (board[i][j] == '3') {
end = new int[]{i, j};
}
if (Character.isUpperCase(board[i][j])) {
char key = Character.toLowerCase(board[i][j]);
if (hm.containsKey(key)) {
hm.get(key).add(new int[]{i, j});
} else {
ArrayList<int[]> al = new ArrayList<>();
al.add(new int[]{i, j});
hm.put(key, al);
}
board[i][j] = '0';
}
}
}
//HashSet<Character> hs = new HashSet<Character>();
//helper2(board, hs, start[0], start[1], row, col, 0, visited, new StringBuilder(), new ArrayList<int[]>(), res);
helper(board, hm, start[0], start[1], row, col, 0, visited, new StringBuilder());
return shortest;
}
public static void helper(char[][] board, HashMap<Character, ArrayList<int[]>> hm, int r, int c, int row, int col, int count, int[][] visited, StringBuilder sb) {
// System.out.println(r + " " + c);
visited[r][c] = visited[r][c] + 1;
sb.append(r).append(c).append("->");
if (board[r][c] == '3') {
System.out.println(count);
if (shortest > count) {
path = sb.deleteCharAt(sb.length() - 1).deleteCharAt(sb.length() - 1).toString();
sb.append("->");
shortest = count;
}
//return;
//shortest = Math.min(shortest, count);
}
if (Character.isLowerCase(board[r][c])) { // if this is the key;
if (hm.containsKey(board[r][c])) {
for (int[] i : hm.get(board[r][c])) {
board[i[0]][i[1]] = '1';
}
}
}
if (r + 1 < row && board[r + 1][c] != '0' && visited[r + 1][c] < 2) {
helper(board, hm, r + 1, c, row, col, count + 1, visited, sb);
}
if (c + 1 < col && board[r][c + 1] != '0' && visited[r][c + 1] < 2) {
helper(board, hm, r, c + 1, row, col, count + 1, visited, sb);
}
if (r - 1 >= 0 && board[r - 1][c] != '0' && visited[r - 1][c] < 2) {
helper(board, hm, r - 1, c, row, col, count + 1, visited, sb);
}
if (c - 1 >= 0 && board[r][c - 1] != '0' && visited[r][c - 1] < 2) {
helper(board, hm, r, c - 1, row, col, count + 1, visited, sb);
}
visited[r][c] = visited[r][c] - 1;
sb.delete(sb.length() - 4, sb.length());
if (Character.isLowerCase(board[r][c])) { // if this is the key;
if (hm.containsKey(board[r][c])) {
for (int[] i : hm.get(board[r][c])) {
board[i[0]][i[1]] = '0';
}
}
}
return;
}
}
