HBC52164智乃酱的双塔问题,数学,枚举,前缀和The power of Fibonacci题解

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Amy asks Mr. B problem A. Please help Mr. B to solve the following problem. Let Fibe fibonacci number. F0 = 0, F1 = 1, Fi = Fi-1 + Fi-2 Givenn and m, please calculate ∑i=0nFimsum_{i = 0}^n F_i^m∑i=0nFim As the answer might be very large, output it module 1000000000.

Amy asks Mr. B  problem A. Please help Mr. B to solve the following problem. Let Fi be fibonacci number. F0 = 0, F1 = 1, Fi = Fi-1 + Fi-2 Given n and m, please calculate ∑i=0nFimsum_{i = 0}^n F_i^m∑i=0n​Fim​  As the answer might be very large, output it module 1000000000.

标签： HBC52164智乃酱的双塔问题 数学 枚举 前缀和The power of Fibonacci题解