Chapter 8.5, Problem 18ES

Let S={0,1} and consider the partial order relation R defined on $S\times S$ as follows: For all ordered pairs $\left(a,b\right)$ and $\left(c,d\right)$ in $S\times S$ ,
$\begin{array}{c}\left(a,b\right)R\left(c,d\right)\iff \text{either}a<c\text{or both}\\ a\text{=}c\text{and }b\le d\text{,}\end{array}$

where < denotes the usual “less then” and $\le$ denotes the usual “less than or equal to” relation fro real numbers. Draw the Hasse diagram for R.