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Grokking the Coding Interview Patterns in C++

Solution: Maximum Points After Enemy Battles

Explore how to solve optimization problems using greedy algorithms by managing energy levels and defeating enemies efficiently. This lesson teaches you to sort enemy energies and absorb all but the weakest enemy to maximize points. Understand the step-by-step process and time complexity involved in implementing this strategy.

We'll cover the following...

Statement

You are given an integer array enemyEnergies where each element represents the energy value of an enemy, and an integer currentEnergy representing your initial energy.

You start with 00 points, and all enemies are initially unmarked. You may perform either of the following operations any number of times to accumulate points:

Operation 1 — Choose an unmarked enemy i such that currentEnergy >= enemyEnergies[i]:

  • Your points increase by 11.

  • Your energy decreases: currentEnergy = currentEnergy - enemyEnergies[i].

Operation 2 — If you have at least 11 point, choose any unmarked enemy i:

  • Your energy increases: currentEnergy = currentEnergy + enemyEnergies[i].

  • Enemy i becomes marked.

Return the maximum number of points you can achieve by performing these operations optimally.

Constraints:

  • 1≤1 \leq enemyEnergies.length ...