Question $1.$ Consider a collection of sets $B=\{B_1,$dots,$B_m\}$ where each $B_i$sub$\{1,$dots,$n\}.$ Let $b=ma{x}_i|B_i|.$

Design a polynomial$-$time approximation algorithm for finding the smallest set Dsube$\{1,$dots,$n\}$ such that $BD\frac{O}{?}$ for all BinB. The algorithm should return a $b$ approximation.