A stone is projected from a point on the ground, so as to hit a bird on the top of a vertical pole of height "h" and then attains a max height "2h" above the ground.

If at the instant of projection, the bird flies in the horizontal direction with a uniform speed and if the stone hits the bird while descending, the ratio of the speed of the bird to the horizontal speed of the stone can be represented as:

a/(b+c).

Find the value of a^2 + b^2 + c^2

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