若n=∑i=0k16i⋅xin=\sum_{i=0}^k{16^i·x_i}n=∑i=0k16i⋅xi,设f(n)=∑i=0kxif(n)=\sum_{i=0}^k{x_i}f(n)=∑i=0kxi,xi∈0,1,...,15x_i \in {0,1,...,15}xi∈0,1,...,15,n0∈N+n_0 \in N^+n0∈N+,存在序列n0,n1,n2,...,nmn_0,n_1,n_2,...,n_mn0,n1,n2,...,nm,对于1≤i≤m1 \le i \le m1≤i≤m有ni=f(ni−1)n_i = f(n_{i-1})ni=f(ni−1),且nm=nm−1n_m=n_{m-1}nm=nm−1,称nmn_mnm为n0n_0n0关于fff的不动点。问在10016100_{16}10016至1A0161A0_{16}1A016中,关于fff的不动点为999的自然数有()个 A.10 B.11 C.12 D.13
当时在考场一点思路也没有题目也没看懂(哭)还有为什么f(n)f(n)f(n)没出现n(我发誓没打错字)