Question: Create a graph by drawing n vertices in a row, then another n vertices below those. Draw an edge from each vertex in the top

Create a graph by drawing n vertices in a row, then another n vertices below those.
Draw an edge from each vertex in the top row to every vertex in the bottom row. An example when n=3 is shown below. For what values of n will a graph created this way have an Euler circuit?
Create a graph by drawing n vertices in a row,

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