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Problem: Dota2 Senate

Explore how to implement a solution to the Dota2 Senate problem using queues to simulate voting rounds and banning actions. Understand how to maintain the order of senators, model the banning strategy optimally, and analyze the algorithm's time and space complexity. This lesson helps you apply queue operations and problem-solving skills to a real-world inspired challenge.

Statement

In the world of Dota22, there are two parties: the Radiant and the Dire.

The Dota22 senate is composed of senators belonging to these two parties. The senate must vote on a change to the game through a round based procedure. In each round, every senator (in order) who still has voting rights may exercise exactly one of the following actions:

  • Ban a senator: Choose one other senator and permanently revoke all of their rights for the current round and all subsequent rounds.

  • Announce victory: If all senators who still retain voting rights belong to the same party, this senator may declare victory for that party.

You are given a string senate of length n ...