-4 -1 is outputting IMPOSSIBLE when a possible path is NSW. As a matter of 
fact, all solutions involving 1 and 4, positive and negative, say 
IMPOSSIBLE. Maybe the program is failing to account for the fact that you 
can use 1 and -2 or -1 and 2 to reach -1 and 1 respectively? Hope this 
helps.

Best,
Matt

On Monday, April 20, 2020 at 12:38:18 PM UTC-4, Cheung Scott wrote:
>
> Hi guys, I wrote a straight forward BFS solution to solve 1B Expogo 
> question, targeting to solve test set 1 and 2.
> However, not knowing which corner case it fails, the solution got WA.
> Basic cases are all past locally, anyone could advise why below solution 
> fails?
>
> import java.util.Arrays;
> import java.util.LinkedList;
> import java.util.Queue;
> import java.util.Scanner;
>
> public class Solution {
>
>     private static final int LIMIT = 400; // target at set 2: limit 100, 
> loosen a bit
>     private static final int[][] dirs = {{0,1},{0,-1},{1,0},{-1,0}};
>     private static final String[] ways = {"N", "S", "E", "W"};
>
>     private static String solve(int x, int y) {
>         int maxStep = (int) (Math.log(LIMIT) / Math.log(2) + 1);
>         Queue<int[]> queue = new LinkedList<>();
>         boolean[][] visited = new boolean[2*LIMIT+1][2*LIMIT+1];
>         String[][] paths = new String[2*LIMIT+1][2*LIMIT+1];
>         for (String[] path : paths) Arrays.fill(path, "");
>         queue.offer(new int[]{0, 0});
>         //visited[LIMIT][LIMIT] = true; // let (0, 0) output IMPOSSIBLE
>         int step = 0, dist;
>         while (!queue.isEmpty() && step <= maxStep + 3) { // loosen a bit
>             int size = queue.size();
>             dist = (int) Math.pow(2, step);
>             for (int s = 0; s < size; s++) {
>                 int[] cell = queue.poll();
>                 if (step > 0 && cell[0] == x && cell[1] == y) return 
> paths[x+LIMIT][y+LIMIT]; // let (0, 0) output IMPOSSIBLE
>                 for (int i = 0; i < 4; i++) {
>                     int xx = cell[0] + dirs[i][0] * dist;
>                     int yy = cell[1] + dirs[i][1] * dist;
>                     if (xx >= -LIMIT && xx <= LIMIT && yy >= -LIMIT && yy 
> <= LIMIT && !visited[xx+LIMIT][yy+LIMIT]) {
>                         visited[xx+LIMIT][yy+LIMIT] = true;
>                         queue.offer(new int[]{xx, yy});
>                         paths[xx+LIMIT][yy+LIMIT] = 
> paths[cell[0]+LIMIT][cell[1]+LIMIT] + ways[i];
>                     }
>                 }
>             }
>             step++;
>         }
>         return "IMPOSSIBLE";
>     }
>
>     public static void main(String[] args) {
>         Scanner in = new Scanner((System.in));
>         int T = in.nextInt(); // Scanner has functions to read ints, 
> longs, strings, chars, etc.
>         for (int ks = 1; ks <= T; ++ks) {
>             int x = in.nextInt();
>             int y = in.nextInt();
>             System.out.println("Case #" + ks + ": " + solve(x, y));
>         }
>     }
> }
>
>
>
>

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