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Solution: Maximum Points After Enemy Battles

Explore how to use greedy techniques to solve the Maximum Points After Enemy Battles problem. Understand how sorting and optimal energy management help you maximize your points by strategically defeating enemies with the lowest energy cost. This lesson teaches you efficient problem-solving using greedy algorithms and complexity analysis.

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:

  • 11 \leq enemyEnergies.length ...