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Problem: Dota2 Senate

Explore how to solve the Dota2 Senate problem using queue data structures in C#. Learn to simulate the round-based voting and banning process between Radiant and Dire senators. Understand how to apply queues to manage order and efficiently determine the winning party while considering algorithm complexity.

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, where each character is either 'R' (representing a Radiant senator) or 'D' (representing a Dire senator). The procedure begins with the first senator and proceeds ...