# Program to print numbers columns wise

We have to print natural numbers columns wise with decreasing size, depending upon given number of lines as described in the examples below –

Examples :

```Input : 5
Output :
1
2 6
3 7 10
4 8 11 13
5 9 12 14 15

Input : 3
Output :
1
2 4
3 5 6
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Approach :

1. We will take outer for loop, which is for how many lines we want to print.
2. Since we want to print natural number column by column, for this we will take an inner for loop.
In the above example the number of element is depending upon number for i, therefore we take a variable k which is equal to i

```Value of i    ||     Number of Element
1         ||          1
2         ||          2
3         ||          3     so on
```
3. Using the logic k = k + n – j, we will get natural numbers according to requirement.

## C++

 `// CPP Program to natural numbers columns wise ` `#include ` `using` `namespace` `std; ` ` `  `void` `pattern(``int` `n) ` `{  ` `    ``// Outer loop for how many  ` `    ``// lines we want to print ` `    ``for` `(``int` `i = 1; i <= n; i++) { ` `        ``int` `k = i; ` ` `  `        ``// Inner loop for printing ` `        ``// natural number ` `        ``for` `(``int` `j = 1; j <= i; j++) { ` `            ``cout << k << ``" "``; ` ` `  `            ``// Logic to print natural ` `            ``// value column-wise ` `            ``k = k + n - j; ` `        ``} ` `        ``cout << ``" \n"``; ` `    ``} ` `} ` ` `  `// Driver Code ` `int` `main() ` `{ ` `    ``// get value from user ` `    ``int` `n = 5; ` `     `  `    ``// function calling ` `    ``pattern(n); ` `     `  `    ``return` `0; ` `} ` ` `  `// This code is contributed by Vishal `

## Java

 `// Java Program to natural numbers columns wise ` `import` `java.util.Scanner; ` `class` `Pattern  ` `{ ` `    ``void` `display() ` `    ``{ ` `        ``int` `n = ``5``; ` `         `  `        ``// Outer loop for how many lines we want to print ` `        ``for` `(``int` `i = ``1``; i <= n; i++)  ` `        ``{ ` `            ``int` `k = i; ` ` `  `            ``// Inner loop for printing natural number ` `            ``for` `(``int` `j = ``1``; j <= i; j++)  ` `            ``{ ` `                ``System.out.print(k); ` `                 `  `                ``// Logic to print natural value column-wise ` `                ``k = k + n - j; ` `            ``} ` `            ``System.out.println(); ` `        ``} ` `    ``} ` ` `  `    ``// Driver Code ` `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` `        ``Pattern p = ``new` `Pattern(); ` `        ``p.display(); ` `    ``} ` `} `

## Python3

 `# Python Program to natural numbers columns wise ` ` `  `def` `display(): ` `        ``n ``=` `5` `        ``i ``=` `1` ` `  `        ``# Outer loop for how many lines we want to print ` `        ``while``(i<``=``n):  ` `            ``k ``=` `i ` `            ``j ``=` `1` ` `  `            ``# Inner loop for printing natural number ` `            ``while``(j <``=` `i):  ` `                ``print` `(k,end``=``" "``) ` `                 `  `                ``# Logic to print natural value column-wise ` `                ``k ``=` `k ``+` `n ``-` `j ` `                ``j ``=` `j ``+` `1` `                 `  `            ``print``(``"\r"``) ` `            ``i ``=` `i ``+` `1` ` `  `#Driver code ` `display() ` ` `  `# This code is contributed by rishabh_jain `

## C#

 `//C# Program to natural numbers columns wise ` `using System; ` `class Pattern  ` `{ ` `    ``void display() ` `    ``{ ` `        ``int n = 5; ` `         `  `        ``// Outer loop for how many lines we want to print ` `        ``for (int i = 1; i <= n; i++)  ` `        ``{ ` `            ``int k = i; ` ` `  `            ``// Inner loop for printing natural number ` `            ``for (int j = 1; j <= i; j++)  ` `            ``{ ` `                ``Console.Write(k +" "); ` `                 `  `                ``// Logic to print natural value column-wise ` `                ``k = k + n - j; ` `            ``} ` `            ``Console.WriteLine(); ` `        ``} ` `    ``} ` ` `  `    ``// Driver Code ` `    ``public static void Main() ` `    ``{ ` `        ``Pattern p = new Pattern(); ` `        ``p.display(); ` `    ``} ` `} ` `//This code is contributed by vt_m. `

## PHP

 `  `

Output :

```1
2 6
3 7 10
4 8 11 13
5 9 12 14 15
```

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