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Learn Data Structures and Algorithms in JavaScript

Problem: Last Stone Weight

Explore how to solve the Last Stone Weight problem by implementing a max heap in JavaScript. Learn to repeatedly extract the two heaviest stones, smash them, and update the heap until one or no stones remain. Understand the heap operations and analyze the algorithm's time and space complexity.

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Statement

You are given an integer array stones, where each element stones[i] represents the weight of the ithi^{th} stone.

A game is played with these stones. In each turn, the two heaviest stones are selected and smashed together. Let the weights of these two stones be x and y, where x ≤\leq y. The outcome of the smash is as follows:

  • If x == y, both stones are completely destroyed.

  • If x ≠\neq ...