printing - Tiling double-sided A3 PDF onto A4 paper

I have a two page PDF document intended to be printed double-sided on A3 paper. I would like to print this on my A4 printer.

In Adobe Reader there is an option to "Tile large pages":

However as you can see, it does not rotate the A3 page to fit across two A4 sheets, it centers the A3 page in an A2-sized page formed of four A4 sheets.

I also desire that the top of the second page is printed on the back of the print of the top of the first page.

Is there any way to print a double-sided A3 PDF on the front and back of two A4 sheets?

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