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Find an array of size N having exactly K subarrays with sum S
• Difficulty Level : Easy
• Last Updated : 31 Aug, 2020

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++ program 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 program 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 program 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# program 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
```

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