Daniele - 5 months ago 12

Java Question

Write a class that, given a positive integer N, creates and returns a square matrix NxN made out of integers that displays the numbers from 1 to n^2 in a spiral

In my class I got four methods, three of them are for the direction, while the

`spiral()`

`public static int[][] spiral(int n) {`

int[][] res;

int i,j;

int num;

int direction;

/** variables initializzazion */

res=new int[n][n];

i=0;

j=0;

res[i][j]=1;

direction=0;

for(num=2; num<=n*n; num++) {

direction = updateDirection(direction, i, j, n);

if ((direction==1) || (direction==3))

i=updateRow(i, direction);

else

j=updateColoumn(j, direction);

res[i][j]=num;

}

return res;

}

Sadly, when I try to run it I get an

`ArrayIndexOutOfBoundException`

`res[i][j]=1;`

How can I fix it so that the Array still starts from 1 and goes up to N*N?

`updateDirection()`

to better understand this method have a look at this image:

`public static int updateDirection(int direction, int i, int j, int n) {`

/** if on the secondary diagonal direction is 1 or 3 */

if(i+j==n-1)

direction++;

/** if on the lower half of the main diagonal, direction is 2 */

if(i==j && j+j>=n)

direction++;

/** if on the row below the higher half of the main diagonal, direction is 0 */

if(i==j+1 && i+j<n)

direction++;

/** in other cases, direction doesn't change */

return direction%4;

}

`public static void testSpiral(){`

for(int n=0; n<=5; n++)

System.out.println(Arrays.deepToString(spiral(n)));

}

`updateRow()`

`updateColoumn()`

`public static int updateRow(int i, int direction) {`

int res;

if(direction==1)

res=i+1; //moves from top to bottom

else

res = i-1; //moves from bottom to top

return res;

}

public static int updateColoumn(int j, int direction){

int res;

if(direction==0)

res=j+1; //moves from left to right

else

res=j-1; //moves from right to left

return res;

Answer

In `testSpiral`

method you are starting the `for`

loop in `0`

, so the array `res`

is created with size `0`

.

When you try to set `res[i][j] = 1`

you are trying to access the first element in the array but there is none.

Just start the `for`

in `i=1`

:

```
public static void testSpiral(){
for(int n=1; n<=5; n++)
System.out.println(Arrays.deepToString(spiral(n)));
}
```