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Find path in NxN maze - https://www.youtube.com/watch?v=keb6rP07Yqg. This implementation has reversed the role of 0's and 1's. Cells with 1's are occupied and you can travel only through 0's.
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public class BackTrackSolution { | |
static int M = 9; | |
static int N = 10; | |
static boolean isValid(int[][] mat, int x, int y, int[][] visitedNodex) { | |
if ( (x >=0 && x < M) && (y >= 0 && y < N) && mat[x][y] == 0 && visitedNodex[x][y] == 0 ) { | |
return true; | |
} | |
return false; | |
} | |
static boolean findShortestPath(int[][] mat, Point curPos, Point dest, int[][] pathMatrix, int[][] visitedNodex) { | |
int currentX = curPos.x, currentY = curPos.y, destX = dest.x, destY = dest.y; | |
if (currentX == destX && currentY == destY) { | |
pathMatrix[currentX][currentY] = 1; | |
return true; | |
} | |
if (isValid(mat, currentX, currentY, visitedNodex)) { | |
pathMatrix[currentX][currentY] = 1; | |
visitedNodex[currentX][currentY] = 1; | |
System.out.println("Moved to position ("+ currentX + ", " + currentY + ")"); | |
if ( findShortestPath(mat, new Point(currentX+1, currentY), new Point(destX, destY), pathMatrix, visitedNodex) ) return true; | |
if ( findShortestPath(mat, new Point(currentX, currentY+1), new Point(destX, destY), pathMatrix, visitedNodex) ) return true; | |
if ( findShortestPath(mat, new Point(currentX-1, currentY), new Point(destX, destY), pathMatrix, visitedNodex) ) return true; | |
if ( findShortestPath(mat, new Point(currentX, currentY-1), new Point(destX, destY), pathMatrix, visitedNodex) ) return true; | |
pathMatrix[currentX][currentY] = 0; | |
System.out.println("Backtracked from ("+ currentX + ", " + currentY + ")"); | |
return false; | |
} | |
return false; | |
} | |
public static void main(String[] args) { | |
int mat[][] = | |
{ | |
{ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 }, | |
{ 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 }, | |
{ 0, 0, 0, 1, 0, 0, 1, 0, 1, 0 }, | |
{ 1, 1, 1, 1, 0, 1, 1, 1, 1, 0 }, | |
{ 0, 0, 0, 1, 0, 0, 0, 1, 0, 1 }, | |
{ 0, 1, 0, 0, 0, 0, 1, 0, 1, 1 }, | |
{ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }, | |
{ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0 }, | |
{ 0, 0, 1, 1, 1, 1, 0, 1, 1, 0 } | |
}; | |
int[][] pathMatrix = new int[M][N]; | |
int[][] visitedNodex = new int[M][N]; | |
findShortestPath(mat, new Point(0, 0), new Point(3,4), pathMatrix, visitedNodex); | |
for(int i=0;i<pathMatrix.length;i++) { | |
for(int j=0;j<pathMatrix[i].length;j++) { | |
System.out.print(pathMatrix[i][j] + ", "); | |
} | |
System.out.println(); | |
} | |
} | |
static class Point { | |
Point(int x, int y) { | |
this.x = x; | |
this.y = y; | |
} | |
private int x; | |
private int y; | |
@Override | |
public int hashCode() { | |
final int prime = 31; | |
int result = 1; | |
result = prime * result + x; | |
result = prime * result + y; | |
return result; | |
} | |
@Override | |
public boolean equals(Object obj) { | |
if (this == obj) | |
return true; | |
if (obj == null) | |
return false; | |
if (!(obj instanceof Point)) | |
return false; | |
Point other = (Point) obj; | |
if (x != other.x) | |
return false; | |
if (y != other.y) | |
return false; | |
return true; | |
} | |
@Override | |
public String toString() { | |
return "Point [x=" + x + ", y=" + y + "]"; | |
} | |
} | |
} |
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