# Find an array of size N having exactly K subarrays with sum S

Given three integers N, K and S, the task is to choose an array of size N such that there exists exactly K sub-arrays with sum S.

Note: There can be many solution arrays to this problem.

Examples:

Input: N = 4, K = 2, S = 3
Output: 1 2 3 4
Explanation:
One of the possible array is [ 1, 2, 3, 4 ]
There exist exactly two subarrays with sum 3
Subarrays with Sum(3) = [ [ 1, 2 ], [ 3 ] ]

Input: N = 5, K = 3, S = 50
Output: 25 25 25 10 40
Explanation:
One of the possible array is [ 25, 25, 25, 10, 40 ]
There exist exactly three subarrays with sum 50
Subarrays with Sum(50) = [ [ 25, 25 ], [ 25, 25 ], [ 10, 40 ] ]

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

Approach:
One of the Solution Array for this problem contains S element K times and S+1 element (N-K) times, to form K Sub-arrays of exactly one element with S as sum. If we combine any two or more elements of the array then it will give sum greater than S.

Below is the implementation of the above approach:

## C++

 `// C++ progarm to find array  ` `// with K subarrays with sum S ` ` `  `#include  ` `using` `namespace` `std;  ` `   `  `// Function to find array  ` `// with K subarrays with sum S ` `void` `SubarraysWithSumS(``int` `n, ``int` `k, ``int` `s) ` `{ ` `    ``for``(``int` `i=0;i

## Java

 `// Java progarm to find array  ` `// with K subarrays with sum S ` `class` `GFG ` `{  ` `     `  `// Function to find array  ` `// with K subarrays with sum S ` `static` `void` `SubarraysWithSumS(``int` `n, ``int` `k, ``int` `s) ` `{ ` `    ``for``(``int` `i = ``0``; i < k; i++) ` `        ``System.out.print(s + ``" "``); ` `    ``for``(``int` `i = k; i < n; i++) ` `        ``System.out.print(s + ``1` `+ ``" "``); ` `}  ` `     `  `// Driver Code ` `public` `static` `void` `main(String[] args)  ` `{  ` `    ``int` `n = ``4``, k = ``2``, s = ``3``; ` `     `  `    ``// Function call ` `    ``SubarraysWithSumS(n, k, s); ` `}  ` `}  ` ` `  `// This code is contributed by 29AjayKumar `

## Python3

 `# Python3 progarm to find array ` `# with K subarrays with sum S ` ` `  `# Function to find array ` `# with K subarrays with sum S ` `def` `SubarraysWithSumS(n, k, s): ` `    ``for` `i ``in` `range``(k): ` `        ``print``(s, end``=``" "``) ` `    ``for` `i ``in` `range``(k, n): ` `        ``print``(s ``+` `1``, end ``=` `" "``) ` ` `  `# Driver Code ` `n ``=` `4` `k ``=` `2` `s ``=` `3` ` `  `# Function call ` `SubarraysWithSumS(n, k, s) ` ` `  `# This code is contributed by mohit kumar 29 `

## C#

 `// C# progarm to find array  ` `// with K subarrays with sum S ` `using` `System; ` ` `  `class` `GFG ` `{  ` `     `  `// Function to find array  ` `// with K subarrays with sum S ` `static` `void` `SubarraysWithSumS(``int` `n, ``int` `k, ``int` `s) ` `{ ` `    ``for``(``int` `i = 0; i < k; i++) ` `        ``Console.Write(s + ``" "``); ` `    ``for``(``int` `i = k; i < n; i++) ` `        ``Console.Write(s + 1 + ``" "``); ` `}  ` `     `  `// Driver Code ` `public` `static` `void` `Main(String[] args)  ` `{  ` `    ``int` `n = 4, k = 2, s = 3; ` `     `  `    ``// Function call ` `    ``SubarraysWithSumS(n, k, s); ` `}  ` `}  ` ` `  `// This code is contributed by PrinciRaj1992 `

Output:

```3 3 4 4
```

GeeksforGeeks has prepared a complete interview preparation course with premium videos, theory, practice problems, TA support and many more features. Please refer Placement 100 for details

My Personal Notes arrow_drop_up

Check out this Author's contributed articles.

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Article Tags :
Practice Tags :

1

Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.