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authorJack Sangdahl <[email protected]>2025-09-08 21:30:40 -0600
committerJack Sangdahl <[email protected]>2025-09-08 21:30:40 -0600
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2327. number of people aware of a secret
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+# 2327. Number of People Aware of a Secret
+
+"""
+on day 1, one person discovers decret. you are given an integer 'delay'
+which means that each person will share the secret with a new person every
+day starting from 'delay' days after discovering the secret. you are also
+given an integer 'forget', which means that each person will forget the
+secret 'forget' days after discovering it. a person cannot share the secret
+on the same day they forgot it, or any day afterwards. given an integer 'n',
+return the number of people who know the secret at the end of day 'n'. since
+the answer may be very large, return it modulo 10^9+7.
+"""
+
+
+class Solution(object):
+ def peopleAwareOfSecret(self, n, delay, forget):
+ """
+ :type n: int
+ :type delay: int
+ :type forget: int
+ :rtype: int
+ """
+ dp = [1] + [0] * forget
+ share, mod = 0, 10**9 + 7
+ for i in range(1, n):
+ dp[i % forget] = share = (
+ share + dp[(i - delay) % forget] - dp[i % forget]
+ ) % forget
+ return sum(dp) % mod
+
+
+if __name__ == "__main__":
+ obj = Solution()
+ print(obj.peopleAwareOfSecret(6, 2, 4))
+ print(obj.peopleAwareOfSecret(4, 1, 3))