The first objects to collapse gravitationally after the big bang might have been globular cluster-size galaxy pieces, with masses around 106 solar masses. suppose you merge two of those together, then merge two larger pieces together, and so on, lego-style, until you reach a milky way mass, about 1012 solar masses. how many merger generations would that take, and how many original pieces? (hint: think in powers of 2.)
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