yuuwwang/aicrypto huggingface dataset:
\paragraph{Problem 1 (14 points)} 
Let $F:=\{ f^n: \{0,1\}^n \to \{0,1\}^{n}  \}_{n\in\mathbb{N}}$ be a family of OWFs,
$G:=\{ G^n: \{0,1\}^n \to \{0,1\}^{n}  \}_{n\in\mathbb{N}}$ be a family of OWFs. 
Let $L:= \{\ell^n = f^n \circ g^n\}_{n\in\mathbb{N}}$. That is, $\ell^n(x) = f^n( g^n(x) )$. 
Show that there exists $F$, $G$ such that $L$ is NOT a family of OWFs.