Number of People Aware of a Secret
Explore how to model and solve the problem of how a secret spreads and fades over time using dynamic programming. Understand waiting and forgetting periods, and implement an efficient algorithm to calculate the number of people aware of the secret by day n, handling large results with modular arithmetic.
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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