> 1) Draw the Hasse diagram for the preorder \\( \mathcal{X}^{op} \times \mathcal{Y} \\).

![drawing](https://docs.google.com/drawings/d/e/2PACX-1vRRo3ojmQS2vWow_yZiqlqYlLGFYJpgvHtLSy57lCsr7V2WwPFR-dzhP63T88i7TzqR03iuIT42RZFo/pub?w=365&h=251)