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							- import java.util.LinkedList;
 
- class Solution {
 
-     class Node implements Comparable<Node> {
 
-         int keys;
 
-         int step;
 
-         int y;
 
-         int x;
 
-         Node(int keys, int step, int y, int x) {
 
-             this.keys = keys;
 
-             this.step = step;
 
-             this.y = y;
 
-             this.x = x;
 
-         }
 
-     }
 
-     int m;
 
-     int n;
 
-     int acc;
 
-     char[][] map;
 
-     final int[] dy = new int[]{0, 1, 0, -1};
 
-     final int[] dx = new int[]{1, 0, -1, 0};
 
-     public int shortestPathAllKeys(String[] grid) {
 
-         if ((m = grid.length) == 0 || (n = grid[0].length()) == 0) return -1;
 
-         LinkedList<Node> queue = new LinkedList<>();
 
-         map = new char[m][n];
 
-         for (int i = 0; i < m; i++) {
 
-             map[i] = grid[i].toCharArray();
 
-             for (int j = 0; j < n; j++) {
 
-                 char ch = map[i][j];
 
-                 if (ch == '@') queue.offer(new Node(0, 0, i, j));
 
-                 if ('a' <= ch && ch <= 'f') acc |= 1 << (ch - 'a');
 
-             }
 
-         }
 
-         boolean[][][] used = new boolean[m][n][1 << 6];
 
-         while (!queue.isEmpty()) {
 
-             Node top = queue.poll();
 
-             if (!isValidMove(top, used)) continue;
 
-             used[top.y][top.x][top.keys] = true;
 
-             char ch = map[top.y][top.x];
 
-             if ('a' <= ch && ch <= 'f') top.keys |= 1 << (ch - 'a');
 
-             if (top.keys == acc) return top.step;
 
-             for (int i = 0; i < 4; i++) {
 
-                 Node next = new Node(top.keys, top.step + 1, top.y + dy[i], top.x + dx[i]);
 
-                 queue.offer(next);
 
-             }
 
-         }
 
-         return -1;
 
-     }
 
-     private boolean isValidMove(Node node, boolean[][][] used) {
 
-         if (node.y < 0 || m <= node.y || node.x < 0 || n <= node.x) return false; // Out of map
 
-         if (used[node.y][node.x][node.keys]) return false; // Visited
 
-         char ch = map[node.y][node.x];
 
-         if (ch == '#') return false; // Wall
 
-         if ('A' <= ch && ch <= 'F') return ((1 << (ch - 'A')) & node.keys) != 0; // Has no key
 
-         return true;
 
-     }
 
- }
 
 
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