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Problem StatementArsh is working on enhancing a recommendation system for a shopping application. He needs to develop a feature that suggests the closest product prices to a target price entered by a user. The list of product prices is sorted in non-decreasing order, and he wants the system to find the K closest prices to the target price. If two prices have the same difference from the target, the lower price should be preferred.To implement this feature, Arsh needs to write a program that identifies and prints the K closest prices to the given target price from the sorted list of prices.ExampleInput:52 4 6 8 1053Output:6 4 8 ExplanationThe closest prices to 5 are determined by their absolute differences: 6 (|6-5|=1), 4 (|4-5|=1), and 8 (|8-5|=3). Since ties are resolved by choosing the smaller number, the closest prices are 6, 4, and 8. Therefore, the output is 6 4 8.Input format :The first line contains an integer n, representing the number of product prices.The second line contains n space-separated integers, representing the sorted product prices.The third line contains an integer x, denoting the target price.The fourth line contains an integer k, representing the number of closest prices to find.Output format :The output displays k space-separated integers representing the k closest prices to the target value.

Question

Problem StatementArsh is working on enhancing a recommendation system for a shopping application. He needs to develop a feature that suggests the closest product prices to a target price entered by a user. The list of product prices is sorted in non-decreasing order, and he wants the system to find the K closest prices to the target price. If two prices have the same difference from the target, the lower price should be preferred.To implement this feature, Arsh needs to write a program that identifies and prints the K closest prices to the given target price from the sorted list of prices.ExampleInput:52 4 6 8 1053Output:6 4 8 ExplanationThe closest prices to 5 are determined by their absolute differences: 6 (|6-5|=1), 4 (|4-5|=1), and 8 (|8-5|=3). Since ties are resolved by choosing the smaller number, the closest prices are 6, 4, and 8. Therefore, the output is 6 4 8.Input format :The first line contains an integer n, representing the number of product prices.The second line contains n space-separated integers, representing the sorted product prices.The third line contains an integer x, denoting the target price.The fourth line contains an integer k, representing the number of closest prices to find.Output format :The output displays k space-separated integers representing the k closest prices to the target value.

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Solution

To solve this problem, we can follow these steps:

  1. Read the input values. The first line is the number of product prices, the second line contains the sorted product prices, the third line is the target price, and the fourth line is the number of closest prices to find.

  2. Create a list to store the absolute differences between each product price and the target price.

  3. Sort this list in non-decreasing order. If two differences are the same, keep the lower price first.

  4. Print the first 'k' prices from the sorted list of differences. These are the 'k' closest prices to the target price.

Here is a Python code snippet that implements these steps:

n = int(input())
prices = list(map(int, input().split()))
x = int(input())
k = int(input())

diffs = sorted([(abs(p-x), p) for p in prices])

for i in range(k):
    print(diffs[i][1], end=' ')

This code first reads the input values. It then calculates the absolute differences between each price and the target price, and stores these differences along with the corresponding price in a list. This list is sorted in non-decreasing order of differences, and in case of a tie, the lower price comes first. Finally, the code prints the first 'k' prices from this sorted list.

This problem has been solved

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