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Yosef bought some pies for his birthday celebration.

He shared them with his three friends, Chris, Jane and Megan.

Chris ate half of the total number of pies and another half a pie.

Jane ate half of the remainder and another half of a pie.

Megan ate half of the number of pies left and another half a pie.

Finally, Yosef ate half the number of pies left and another half a pie.

There were no pies left after that. How many pies did Yosef buy?

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