Find The First Player to win K Games in a Row

Find The First Player to win K Games in a Row

What is this problem about?

The Find The First Player to win K Games in a Row interview question is a simulation of a winner-stays-on competition. You have a queue of players with different skill levels. In each round, the first two players in the queue compete. The winner stays at the front, and the loser goes to the back of the queue. The game ends when a player achieves k consecutive wins. You need to find who that player is.

Why is this asked in interviews? simulation

Companies like IBM and JPMorgan ask the Find The First Player coding problem to test a candidate's ability to simplify a simulation. While you could use a Deque to move elements around, the "best" player will eventually move to the front and win every game. Recognizing this allows for an $O(N)$ solution without actually manipulating a queue structure. It evaluations your efficiency in implementing Simulation interview patterns.

Algorithmic pattern used

This problem follows the Linear Simulation with Early Exit pattern.

1. Maintain State: Keep track of the currentWinner and their winCount.
2. Iterate: Traverse the players starting from the second one.
3. Comparison: If the currentWinner is stronger than the next player, increment winCount. If the next player is stronger, they become the newWinner with winCount = 1.
4. Termination:

• If winCount == k, the current winner is our result.