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Learn Data Structures and Algorithms in Java

Problem: Last Stone Weight

Explore how to solve the Last Stone Weight problem by implementing a max heap in Java. Learn to repeatedly extract the heaviest stones, apply the smashing rules, and return the last remaining stone's weight while understanding the time and space complexities involved.

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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 ...