from typing import List MOD = int(1e9+7) def kitamasa(C: List[int], A: List[int], n: int) -> int: if n == 0: return A[0] assert len(C) == len(A) k = len(C) C0 = [0] * k C1 = [0] * k C0[1] = 1 def inc(k, C0, C1): C1[0] = C0[k - 1] * C[0] % MOD for i in range(k - 1): C1[i + 1] = (C0[i] + C0[k - 1] * C[i + 1]) % MOD def dbl(k, C0, C1): D0 = [0] * k D1 = [0] * k D0[:] = C0[:] for j in range(k): C1[j] = C0[0] * C0[j] % MOD for i in range(1, k): inc(k, D0, D1) for j in range(k): C1[j] += C0[i] * D1[j] % MOD D0, D1 = D1, D0 for i in range(k): C1[i] %= MOD p = n.bit_length() - 1 while p: p -= 1 dbl(k, C0, C1) C0, C1 = C1, C0 if (n >> p) & 1: inc(k, C0, C1) C0, C1 = C1, C0 res = 0 for i in range(k): res = (res + C0[i] * A[i]) % MOD return res # 斐波那契 def fib(n: int) -> int: return kitamasa([1, 1], [0, 1], n-1) print(fib(n))