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1. A wire of length 50 units is cut into two pieces, somewhere along the wire. One piece is shaped into a square, and
1. A wire of length 50 units is cut into two pieces, somewhere along the wire. One piece is shaped into a square, and the other is shaped into a circle. What is the maximum possible value of the combined area of the square and the circle, and what are the lengths of the two pieces? What is the minimum possible value, and when does that situation happen?
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