Introduction

In this blog post, we will explore how to solve the LeetCode problem "3147" 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

In a mystic dungeon, n magicians are standing in a line. Each magician has an attribute that gives you energy. Some magicians can give you negative energy, which means taking energy from you. You have been cursed in such a way that after absorbing energy from magician i, you will be instantly transported to magician (i + k). This process will be repeated until you reach the magician where (i + k) does not exist. In other words, you will choose a starting point and then teleport with k jumps until you reach the end of the magicians' sequence, absorbing all the energy during the journey. You are given an array energy and an integer k. Return the maximum possible energy you can gain. Note that when you are reach a magician, you must take energy from them, whether it is negative or positive energy. Example 1: Input: energy = [5,2,-10,-5,1], k = 3 Output: 3 Explanation: We can gain a total energy of 3 by starting from magician 1 absorbing 2 + 1 = 3. Example 2: Input: energy = [-2,-3,-1], k = 2 Output: -1 Explanation: We can gain a total energy of -1 by starting from magician 2. Constraints: 1 <= energy.length <= 105 -1000 <= energy[i] <= 1000 1 <= k <= energy.length - 1 ​​​​​​

Explanation

Here's the solution to the problem:

• High-level approach: Iterate through all possible starting positions. For each starting position, simulate the teleportation process, accumulating the energy gained. Keep track of the maximum energy gained across all starting positions.
• Complexity: Time Complexity: O(n), Space Complexity: O(1)

Code

    def max_energy_gain(energy, k):
    """
    Calculates the maximum possible energy gain from a sequence of magicians
    with teleportation jumps.

    Args:
        energy (list[int]): A list of integers representing the energy of each magician.
        k (int): The jump size.

    Returns:
        int: The maximum possible energy gain.
    """

    max_energy = float('-inf')
    n = len(energy)

    for start_index in range(n):
        current_energy = 0
        current_index = start_index

        while current_index < n:
            current_energy += energy[current_index]
            current_index += k

        max_energy = max(max_energy, current_energy)

    return max_energy