Chandni - 1 year ago 46

Java Question

I happened to appear for a test and got the following as question. I am unable to figure out how to proceed. The scenario is to write a java program that prints the following with respective N. If suppose N=3, it must have 2*N rows and output must be,

1

2*3

4*5*6

4*5*6

2*3

1

Output must consist only numbers and asterisk. N varies between 0 to 100. Also, given

`public static void main(String[] args){`

int rows=2;

mirrorTriangle(rows);

}

public void mirrorTriangle(int n){

//Logic

}

I don't understand why is that rows declared as 2 if rows are supposed to be varying with N. Please explain the logic.

Answer Source

Please find the solution to your problem, with explanation comments.

```
public static void main(String[] args) throws Exception
{
// initialize n
int n = 4;
// initialize x to 1 from where our printing will start.
int x = 1;
/* We will store our generated numbers in an array.
* For example, the array after we generate
* the numbers would look like:
* [1,0,0,
2,3,0,
4,5,6,
4,5,6,
2,3,0,
1,0,0]
*
* When n = 3, there are going to be 3*2 i.e, n*2 rows.
* in our case 6 rows.
* visualize with the above values.
* The first n/2 rows will be the numbers we print,
* the next n/2 will be the mirror image of the first n/2 rows.
* no. of columns in each row will be equal to n, in our example:3
*/
int arr[][] = new int[n*2][n];
/*
* Start populating the matrix
* Each row will contain number of elements eaual to the row number,
* so 1st row -> 1 element, 2nd - > 2,.. and so on.
*/
for(int row=0;row<n;row++)
{
int col = 0;
while(col < row+1)
{
arr[row][col] = arr[n*2-row-1][col] = x++;
col++;
}
}
/*
* Now our task is just to read out the array.
* The tricky part is adding the astricks.
* We notice that row1 will have 1-1 asticks, row2 -> 2-1 astricks ,.. and so on.
* So in between the numbers while reading out,
* for each row we maintain the number of astricks.
*/
for(int i=0;i<arr.length;i++)
{
StringBuilder build = new StringBuilder();
for(int j=0;j<arr[i].length;j++)
{
if(arr[i][j] > 0)
{
build.append((arr[i][j])).append("*");
}
}
System.out.print(build.delete(build.length()-1,build.length()).toString());
System.out.println();
}
}
```

o:p for n=4:

```
1
2*3
4*5*6
7*8*9*10
7*8*9*10
4*5*6
2*3
1
```