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Given an array of integers A, and an integer K find number of happy elements.Element X is happy if there exists at least 1 element whose difference is less than K i.e. an element X is happy if there is another element in the range [X-K, X+K] other than X itself.Constraints1 <= N <= 10^50 <= K <= 10^50 <= A[i] <= 10^9InputFirst line contains two integers N and K where N is size of the array and K is a number as described above. Second line contains N integers separated by space.OutputPrint a single integer denoting the total number of happy elements.ExampleInput3 21 3 5Output3ExplanationAll numbers have at least 1 element in the range [X-2, X+2]. Hence they are all happy elements. Since these three are in number, the output is 3.

Question

Given an array of integers A, and an integer K find number of happy elements.Element X is happy if there exists at least 1 element whose difference is less than K i.e. an element X is happy if there is another element in the range [X-K, X+K] other than X itself.Constraints1 <= N <= 10^50 <= K <= 10^50 <= A[i] <= 10^9InputFirst line contains two integers N and K where N is size of the array and K is a number as described above. Second line contains N integers separated by space.OutputPrint a single integer denoting the total number of happy elements.ExampleInput3 21 3 5Output3ExplanationAll numbers have at least 1 element in the range [X-2, X+2]. Hence they are all happy elements. Since these three are in number, the output is 3.

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Solution

To solve this problem, we can follow these steps:

  1. First, we need to sort the array of integers A in ascending order. This will allow us to easily check if there is another element within the range [X-K, X+K] for each element X.

  2. Then, we initialize a counter to 0. This counter will keep track of the number of happy elements.

  3. We iterate over the sorted array. For each element X, we check if the next element in the array is within the range [X-K, X+K]. If it is, we increment the counter by 1.

  4. After iterating over the entire array, the counter will hold the total number of happy elements. We print this number.

Here is a Python code snippet that implements these steps:

def count_happy_elements(A, K):
    A.sort()
    count = 0
    for i in range(len(A) - 1):
        if A[i+1] - A[i] < K:
            count += 1
    return count

N, K = map(int, input().split())
A = list(map(int, input().split()))
print(count_happy_elements(A, K))

This code first reads the input values. It then calls the function count_happy_elements with the array A and the integer K. The function sorts the array and counts the number of happy elements. Finally, it prints the result.

This problem has been solved

Similar Questions

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