# Count of elements whose absolute difference with the sum of all the other elements is greater than k

• Last Updated : 21 Apr, 2021

Given an array arr[] of N integers and an integer K, the task is to find the number of anomalies in the array. An anomaly is a number for which the absolute difference between it and all the other numbers in the array is greater than K. Find the number of anomalies.

Examples:

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Input: arr[] = {1, 3, 5}, k = 1
Output:
1 and 3 are the anomalies.
|1 – (3 + 5)| = 7 > 1
|3 – (1 + 5)| = 3 > 1

Input: arr[] = {7, 1, 8}, k = 5
Output:

Approach: Find the sum of all the array elements and store it in sum, now for every element of the array arr[i] if the absolute difference of arr[i] with sum – arr[i] is > k then it is an anomaly. Count all the anomalies in the array and print the result in the end.

Below is the implementation of the above approach:

## C++

 `// C++ implementation of the approach``#include``using` `namespace` `std;` `// Function to return the number of anomalies``static` `int` `countAnomalies(``int` `arr[],``                          ``int` `n, ``int` `k)``{` `    ``// To store the count of anomalies``    ``int` `cnt = 0;` `    ``// To store the sum of the array elements``    ``int` `i, sum = 0;` `    ``// Find the sum of the array elements``    ``for` `(i = 0; i < n; i++)``        ``sum += arr[i];` `    ``// Count the anomalies``    ``for` `(i = 0; i < n; i++)``        ``if` `(``abs``(arr[i] -``               ``(sum - arr[i])) > k)``            ``cnt++;` `    ``return` `cnt;``}` `// Driver code``int` `main()``{``    ``int` `arr[] = { 1, 3, 5 };``    ``int` `n = ``sizeof``(arr) / ``sizeof``(arr[0]);``    ``int` `k = 1;``    ``cout << countAnomalies(arr, n, k);``}` `// This code is contributed``// by Code_Mech`

## Java

 `// Java implementation of the approach``class` `GFG {` `    ``// Function to return the number of anomalies``    ``static` `int` `countAnomalies(``int` `arr[], ``int` `n, ``int` `k)``    ``{` `        ``// To store the count of anomalies``        ``int` `cnt = ``0``;` `        ``// To store the sum of the array elements``        ``int` `i, sum = ``0``;` `        ``// Find the sum of the array elements``        ``for` `(i = ``0``; i < n; i++)``            ``sum += arr[i];` `        ``// Count the anomalies``        ``for` `(i = ``0``; i < n; i++)``            ``if` `(Math.abs(arr[i] - (sum - arr[i])) > k)``                ``cnt++;` `        ``return` `cnt;``    ``}` `    ``// Driver code``    ``public` `static` `void` `main(String[] args)``    ``{``        ``int` `arr[] = { ``1``, ``3``, ``5` `};``        ``int` `n = arr.length;``        ``int` `k = ``1``;``        ``System.out.print(countAnomalies(arr, n, k));``    ``}``}`

## Python3

 `# Python3 implementation of the approach` `# Function to return the``# number of anomalies``def` `countAnomalies(arr, n, k):` `    ``# To store the count of anomalies``    ``cnt ``=` `0` `    ``# To store the Sum of``    ``# the array elements``    ``i, ``Sum` `=` `0``, ``0` `    ``# Find the Sum of the array elements``    ``for` `i ``in` `range``(n):``        ``Sum` `+``=` `arr[i]` `    ``# Count the anomalies``    ``for` `i ``in` `range``(n):``        ``if` `(``abs``(arr[i] ``-` `(``Sum` `-` `arr[i])) > k):``            ``cnt ``+``=` `1` `    ``return` `cnt` `# Driver code``arr ``=` `[``1``, ``3``, ``5``]``n ``=` `len``(arr)``k ``=` `1``print``(countAnomalies(arr, n, k))` `# This code is contributed``# by mohit kumar`

## C#

 `// C# implementation of the approach``using` `System;` `class` `GFG``{` `    ``// Function to return the number of anomalies``    ``static` `int` `countAnomalies(``int``[] arr, ``int` `n, ``int` `k)``    ``{` `        ``// To store the count of anomalies``        ``int` `cnt = 0;` `        ``// To store the sum of the array elements``        ``int` `i, sum = 0;` `        ``// Find the sum of the array elements``        ``for` `(i = 0; i < n; i++)``            ``sum += arr[i];` `        ``// Count the anomalies``        ``for` `(i = 0; i < n; i++)``            ``if` `(Math.Abs(arr[i] - (sum - arr[i])) > k)``                ``cnt++;` `        ``return` `cnt;``    ``}` `    ``// Driver code``    ``public` `static` `void` `Main()``    ``{``        ``int``[] arr = { 1, 3, 5 };``        ``int` `n = arr.Length;``        ``int` `k = 1;``        ``Console.WriteLine(countAnomalies(arr, n, k));``    ``}``}` `// This code is contributed by Code_Mech.`

## PHP

 ` ``\$k``)``            ``\$cnt``++;` `    ``return` `\$cnt``;``}` `// Driver code``\$arr` `= ``array``(1, 3, 5);``\$n` `= ``count``(``\$arr``);``\$k` `= 1;` `echo` `countAnomalies(``\$arr``, ``\$n``, ``\$k``);` `// This code is contributed by Ryuga``?>`

## Javascript

 ``
Output:
`2`

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