A saturated solution of \( H_2S \) in 0.1M HCl at 25°C contains \( S^{2-} \) ion concentration of \( 10^{-23} \, \text{mol L}^{-1} \). The solubility product of some sulfides are \( CuS = 10^{-44} \), \( FeS = 10^{-14} \), and \( MnS = 10^{-25} \). If 0.01M solution of these salts in 1M HCl are saturated with \( H_2S \), which of these will be precipitated?