A small bank has an electronic safe which may be opened by certain combinations of the president, the two managers and the five tellers. Policy dictates that the safe may be opened if and only if

(a) the bank president decides to open it, or
(b) the two managers both decide to open it, or
(c) all five tellers decide to open it, or
(d) one manager and three tellers decide to open it.

Explain how you would choose the parameters and distribute the shadows of a Lagrange interpolation polynomial key threshold scheme to meet the requirements of this bank.