Three Origami Squares

Alex likes origami. Almost every origami model starts from a single square sheet of paper.

Alex is making a present for his mother. The model needs three squares of the same size, but Alex has only one rectangular sheet. He can cut squares out of that sheet, and the sides of every square he cuts must be parallel to the sides of the sheet.

Find the largest possible side length of the squares, given that all three of them must be cut from the sheet.

The first line contains two integers $h$ and $w$, the height and the width of the sheet. ($1 \le h, w \le 1000$)

Print the largest possible side length of the squares on the first line.

Round the value to six digits after the decimal point and pad missing digits with zeros. For example, print 105.000000 when the answer is $105$, and 0.500000 when the answer is $\frac{1}{2}$.

On a sheet of height $210$ and width $297$, three squares of side $105$ fit as shown above.

On a sheet of height $250$ and width $100$, three squares of side $\frac{250}{3}$ are stacked in a single column.