# Make A, B and C equal by adding total value N to them

Given 3 integers A, B, and C, and an integer N, the task is to distribute N among all the other 3 numbers such that at the end A = B = C. If the distribution is possible then print “Yes” otherwise output “No”.

Examples:

Input: A = 5, B = 3, C = 2, N = 8
Output: Yes
Explanation:
We can distribute N = 8 by adding 1 to A, 3 to B and 4 to C to get all of them as 6. Hence the distribution is possible.

Input: A = 10, B = 20, C = 15, N = 14
Output: No
Explanation:
Distribution of N among all three integers to make them equal is not possible.

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

Approach:

To solve the problem mentioned above we have to follow the steps given below:

• Find maximum out of all the three integers A, B and C. Let that be integer K
• Multiply the integer K by 3 and then subtract it by the sum of the three integers.
• Check if the difference of that number and N is divisible by 3 or not.
• If it is, then the output is “Yes”, otherwise it is not possible to distribute the number.

Below is the implementation of the above approach:

## C++

 `// C++ program to distribute integer N  ` `// among A, B, C such that they become equal  ` `#include ` `using` `namespace` `std; ` ` `  `void` `distributeN(``int` `A, ``int` `B, ``int` `C, ``int` `n) ` `{ ` `    ``// Find maximum among the three elements  ` `    ``int` `max1 = max(A, B); ` `    ``int` `max2 = max(B, C); ` `    ``int` `maximum = max(max1, max2); ` `     `  `    ``// Summation of three elements  ` `    ``int` `sum = A + B + C; ` `    ``int` `p = (3 * maximum) - sum; ` `    ``int` `diff = n - p; ` `     `  `    ``// Check if difference is divisible by 3  ` `    ``if` `(diff < 0 || diff % 3)  ` `        ``cout << ``"No"``; ` `    ``else` `        ``cout << ``"Yes"``; ` `} ` `         `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `A = 10, B = 20; ` `    ``int` `C = 15, n = 14; ` `     `  `    ``distributeN(A, B, C, n); ` `    ``return` `0; ` `} ` ` `  `// This code is contributed by PratikBasu `

## Python3

 `# Python Program to Distribute integer N  ` `# among A, B, C such that they become equal ` ` `  `def` `distributeN(A, B, C, n): ` `     `  `    ``# find maximum among the three elements ` `    ``maximum ``=` `max``(A, B, C) ` `     `  `    ``# summation of three elements ` `    ``sum` `=` `A ``+` `B``+``C ` `     `  `     `  `    ``p ``=` `(``3` `*` `maximum)``-``sum` `     `  `    ``diff ``=` `n``-``p ` `     `  `    ``# check if difference is divisible by 3 ` `    ``if` `diff < ``0` `or` `diff ``%` `3``:  ` `        ``print` `"No"`  `    ``else``: ` `        ``print` `"Yes"` `         `  `         `  `# Driver code  ` `A ``=` `10` `B ``=` `20` `C ``=` `15`  `n ``=` `14`  `distributeN(A, B, C, n) `

Output:

```No
```

Time Complexity: O(1)

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Improved By : PratikBasu