Number of People Aware of a Secret
Explore how to apply dynamic programming to model the spread and forgetting of a secret over days. This lesson helps you determine the number of people aware of a secret after a set period while handling constraints such as delay in sharing and forgetting time. You will understand how to implement efficient solutions using modular arithmetic to manage large numbers.
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Statement
On day
Each person who learns the secret will begin sharing it with one new person every day, but only after a waiting period of delay days from when they first discovered it. Additionally, each person completely forgets the secret forget days after discovering it. Once a person has forgotten the secret (on the day of forgetting and all subsequent days), they can no longer share it.
Given an integer n, determine how many people know the secret at the end of day n. Since the result can be very large, return it modulo