A rectangle's sides

Geometry Level 3

A rectangle is divided into \(13\) smaller rectangles. Each small rectangle has at least one side which length is an integer. The big rectangle's sides are \(20.17\) and \(x\). We know that \(x=0.2017*10^n\), where \(n\) is a non-negativ integer. What is the minimum value of \(n\)? (You can choose how you divide the rectangle, the figure is just an example.)

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