# Random list of M non-negative integers whose sum is N

Given two integers M and N, the task is to create a list of M non-negative integers whose sum is N. In case when more than one list is possible, find any one.

Examples:

Input: M = 4, N = 8
Output: 1 3 3 1
1 + 3 + 3 + 1 = 8

Input: M = 5, N = 3
Output: 0 1 1 0 1

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

Approach: To get a complete random list of integers, create an array of size M where every element is initialised with 0. Now run a loop from 0 to N – 1 and increment any randomly chosen element from the array by 1 using the rand() function. This way, sum of the resuntant list will be N.

Below is the implementation of the above approach:

## C++

 `// C++ implementation of the approach ` `#include ` `using` `namespace` `std; ` ` `  `// Utility function to print the ` `// elements of an array ` `void` `printArr(``int` `arr[], ``int` `n) ` `{ ` `    ``for` `(``int` `i = 0; i < n; i++) ` `        ``cout << arr[i] << ``" "``; ` `} ` ` `  `// Function to generate a list of ` `// m random non-negative integers ` `// whose sum is n ` `void` `randomList(``int` `m, ``int` `n) ` `{ ` ` `  `    ``// Create an array of size m where ` `    ``// every element is initialized to 0 ` `    ``int` `arr[m] = { 0 }; ` `    ``srand``(``time``(0)); ` ` `  `    ``// To make the sum of the final list as n ` `    ``for` `(``int` `i = 0; i < n; i++) { ` ` `  `        ``// Increment any random element ` `        ``// from the array by 1 ` `        ``arr[``rand``() % m]++; ` `    ``} ` ` `  `    ``// Print the generated list ` `    ``printArr(arr, m); ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `m = 4, n = 8; ` ` `  `    ``randomList(m, n); ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java implementation of the approach ` `class` `GFG ` `{ ` `     `  `// Utility function to print the ` `// elements of an array ` `static` `void` `printArr(``int` `arr[], ``int` `n) ` `{ ` `    ``for` `(``int` `i = ``0``; i < n; i++) ` `        ``System.out.print(arr[i] + ``" "``); ` `} ` ` `  `// Function to generate a list of ` `// m random non-negative integers ` `// whose sum is n ` `static` `void` `randomList(``int` `m, ``int` `n) ` `{ ` ` `  `    ``// Create an array of size m where ` `    ``// every element is initialized to 0 ` `    ``int` `arr[] = ``new` `int``[m]; ` `     `  `    ``// To make the sum of the final list as n ` `    ``for` `(``int` `i = ``0``; i < n; i++) ` `    ``{ ` ` `  `        ``// Increment any random element ` `        ``// from the array by 1 ` `        ``arr[(``int``)(Math.random() * m)]++; ` `    ``} ` ` `  `    ``// Print the generated list ` `    ``printArr(arr, m); ` `} ` ` `  `// Driver code ` `public` `static` `void` `main(String args[]) ` `{ ` `    ``int` `m = ``4``, n = ``8``; ` ` `  `    ``randomList(m, n); ` `} ` `} ` ` `  `// This code is contributed by Arnab Kundu `

## Python3

 `# Python3 implementation of the approach  ` `from` `random ``import` `randint ` ` `  `# Utility function to print the  ` `# elements of an array  ` `def` `printArr(arr, n) : ` ` `  `    ``for` `i ``in` `range``(n) : ` `        ``print``(arr[i], end ``=` `" "``);  ` ` `  `# Function to generate a list of  ` `# m random non-negative integers  ` `# whose sum is n  ` `def` `randomList(m, n):  ` ` `  `    ``# Create an array of size m where  ` `    ``# every element is initialized to 0  ` `    ``arr ``=` `[``0``] ``*` `m;  ` `     `  `    ``# To make the sum of the final list as n  ` `    ``for` `i ``in` `range``(n) : ` ` `  `        ``# Increment any random element  ` `        ``# from the array by 1  ` `        ``arr[randint(``0``, n) ``%` `m] ``+``=` `1``;  ` ` `  `    ``# Print the generated list  ` `    ``printArr(arr, m);  ` ` `  `# Driver code  ` `if` `__name__ ``=``=` `"__main__"` `:  ` ` `  `    ``m ``=` `4``; n ``=` `8``;  ` ` `  `    ``randomList(m, n);  ` ` `  `# This code is contributed by AnkitRai01 `

## C#

 `// C# implementation of the approach ` `using` `System; ` ` `  `class` `GFG ` `{ ` `     `  `// Utility function to print the ` `// elements of an array ` `static` `void` `printArr(``int` `[]arr, ``int` `n) ` `{ ` `    ``for` `(``int` `i = 0; i < n; i++) ` `        ``Console.Write(arr[i] + ``" "``); ` `} ` ` `  `// Function to generate a list of ` `// m random non-negative integers ` `// whose sum is n ` `static` `void` `randomList(``int` `m, ``int` `n) ` `{ ` ` `  `    ``// Create an array of size m where ` `    ``// every element is initialized to 0 ` `    ``int` `[] arr = ``new` `int``[m]; ` `     `  `    ``// To make the sum of the final list as n ` `    ``for` `(``int` `i = 0; i < n; i++) ` `    ``{ ` ` `  `        ``// Increment any random element ` `        ``// from the array by 1 ` `        ``Random rnd = ``new` `Random(); ` ` `  `        ``arr[rnd.Next(0, n) % m]++; ` `    ``} ` ` `  `    ``// Print the generated list ` `    ``printArr(arr, m); ` `} ` ` `  `// Driver code ` `public` `static` `void` `Main() ` `{ ` `    ``int` `m = 4, n = 8; ` ` `  `    ``randomList(m, n); ` `} ` `} ` ` `  `// This code is contributed by Mohit kumar `

Output:

```1 3 3 1
```

Time Complexity: O(max(M, N))

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.