Charge distribution between two spherical hollow conductors.

Consider two spherical hollow conductors, charged to Q1 and Q2 coulombs respectively. What happens when one is placed within the other, and they are connected by a thin metallic wire?
I do know that if they were placed at a distance from each other, the charge is distributed in the ratio of the ratio of their capacitance. The solution to this problem is that all the charge flows from the inner conductor to the outer one. Why? Any help is appreciated.

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