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If the circle x^2 + y^2 + 4x + 22y + a ...

If the circle `x^2 + y^2 + 4x + 22y + a = 0` bisects the circumference of the circle `x^2 + y^2-2x + 8y-b = 0` (where `a, b> 0`), then find the maximum value of (ab).

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