Introduction

In this blog post, we will explore how to solve the LeetCode problem "462" using AI. LeetCode is a popular platform for preparing for coding interviews, and with the help of AI tools like Chatmagic, we can generate solutions quickly and efficiently - helping you pass the interviews and get the job offer without having to study for months.

Problem Statement

Given an integer array nums of size n, return the minimum number of moves required to make all array elements equal. In one move, you can increment or decrement an element of the array by 1. Test cases are designed so that the answer will fit in a 32-bit integer. Example 1: Input: nums = [1,2,3] Output: 2 Explanation: Only two moves are needed (remember each move increments or decrements one element): [1,2,3] => [2,2,3] => [2,2,2] Example 2: Input: nums = [1,10,2,9] Output: 16 Constraints: n == nums.length 1 <= nums.length <= 105 -109 <= nums[i] <= 109

Explanation

Here's the breakdown of the solution:

• Find the Median: The optimal target value to which all elements should converge is the median of the array. This minimizes the sum of absolute differences.

• Calculate Moves: Iterate through the array and calculate the absolute difference between each element and the median. Sum these differences to get the total number of moves.

• Runtime Complexity: O(n log n) due to sorting. Storage Complexity: O(1) excluding the input array.

Code

    def minMoves2(nums):
    """
    Calculates the minimum number of moves to make all elements in the array equal.

    Args:
        nums: A list of integers.

    Returns:
        The minimum number of moves required.
    """
    nums.sort()
    median = nums[len(nums) // 2]
    moves = 0
    for num in nums:
        moves += abs(num - median)
    return moves