Quant Interview Question #quant

quantprof · Beginner ·⚡ Algorithms & Data Structures ·6d ago

Key Takeaways

The optimal strategy for maximizing the number of accepted cards is to accept the first card and then accept every card that is larger than the previously accepted card. This strategy can be implemented using a simple algorithm that keeps track of the maximum accepted card so far.

Full Transcript

The cards numbered 1 through 8 are shuffled and revealed one at a time. Whenever a card appears, you must immediately accept or reject it. However, every accepted card must be larger than the previously accepted card. There is no restriction on how many cards you may accept. You want to maximize the number of accepted cards. Determine the optimal strategy and the expected number of accepted cards under this strategy. Post your answers in comments.

Original Description

Can you solve this quant interview question?
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The video discusses a quant interview question where the goal is to maximize the number of accepted cards from a shuffled deck of 8 cards. The optimal strategy is to accept the first card and then accept every card that is larger than the previously accepted card. This strategy can be implemented using a simple algorithm.

Key Takeaways
  1. Accept the first card
  2. Initialize the maximum accepted card to the first card
  3. Iterate through the remaining cards and accept every card that is larger than the maximum accepted card so far
  4. Update the maximum accepted card whenever a larger card is accepted
💡 The key to solving this problem is to recognize that the optimal strategy is to accept the first card and then accept every card that is larger than the previously accepted card. This strategy ensures that the maximum number of cards are accepted.

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