Design a simple combinatorial logic circuit for a vault lock controller. The block diagram is shown below:

The bank officials may open the lock $($UNLOCK$)$ according to the following protocol:

$-$ During business hours $\backslash (($B$)\backslash )$ : the lock can be opened if

$-$ the bank president $\backslash (($P$)\backslash )$ is present, or

$-$ both vice presidents $\backslash (($V P $1,$ V P $2)\backslash )$ are present.

$-$ Off hours:

$-$ the bank president is present, and

$-$ at least one vice president is present.

Design the vault lock controller using just $2-$input logic gates. Provide your answer as a circuit design.

Hints: truth table, K$-$map