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

Last Updated : 03 Mar, 2022

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:

Input: arr[] = {1, 3, 5}, k = 1
Output: 2
1 and 3 are the anomalies.
|1 - (3 + 5)| = 7 > 1
|3 - (1 + 5)| = 3 > 1

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

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<bits/stdc++.h>
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# 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

<?php
// PHP implementation of the approach 

// Function to return 
// the number of anomalies 
function countAnomalies($arr, $n, $k) 
{ 

    // To store the count of anomalies 
    $cnt = 0; 

    // To store the sum of 
    // the array elements 
    $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 
$arr = array(1, 3, 5);
$n = count($arr); 
$k = 1; 

echo countAnomalies($arr, $n, $k); 

// This code is contributed by Ryuga
?>

JavaScript

<script>

// Javascript implementation of the approach

// Function to return the number of anomalies
function countAnomalies(arr, n, k)
{
    
    // To store the count of anomalies
    var cnt = 0;

    // To store the sum of the array elements
    var 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
var arr = [ 1, 3, 5 ];
var n = arr.length;
var k = 1;

document.write(countAnomalies(arr, n, k));

// This code is contributed by umadevi9616

</script>

Output:

Time Complexity : O(n)
Auxiliary Space : O(1)

Count elements whose sum with K is greater than max element

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

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