Using Young Diagram to show the number of partitions of n is equal to number of partitions of 2n into n parts

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Show that the number of partitions of the integer $n$ is equal to the number of partitions of $2n$ into $n$ parts using a Young Diagram.

I can't seem to figure out any way to create a bijection between these two cases using a Young Diagram.

I'm thinking to maybe create a diagram of the "$n$ into anything" part and then adding an extra row on the bottom of that of length $n$ to create the second half.

Does this work?