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Problem: Last Stone Weight

Explore solving the Last Stone Weight problem by implementing a max heap in C++. Learn how to efficiently retrieve and smash the two heaviest stones until one or none remain, and understand the time and space complexity involved.

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 ...