java - Search 2d Array -

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so im writing java program should find shortest way entrance "2" 1 of numbers "3". can walk on " " positions. "1" walls.

11111121  131    1  1 1 1111  1 1 13 1      1 1 11 1  1 1    1 1      1   11111111

my starting idea find entrance in 2d array. done this:

point entrance = new point(0,0);    (int = 0; < n; i++) {      (int j = 0; j < n; j++){         if(map[i][j] == 2){            entrance.x =i;            entrance.y =j;         }    }

i find 2 "3" , save them in points. but im not sure how return rute closest "3". considering joystick, save direction go, (up, down, left, right). return full list of moves entrance closests 3. got suggestion or ideas how implement ?

what have here non-cannonical representation of graph. have each cell being vertex in graph , have edge between 2 neighboring cells if , if both of them free.

now @ problem in way, find entrance , breadth first search find exit.


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