URAL 2001 Mathematicians and Berries (小学数学题)

One day, two mathematicians were walking in the forest and picking berries. They’d been walking for two hours, and then they stopped and decided to see who’s got more berries. They took out the scales (can you imagine a mathematician going to the forest without any scales?) and they weighed their baskets with berries. They wrote the resulting numbersa1andb1down on a piece of paper. Then the second mathematician put all his berries to the first one’s basket (so that his basket became completely empty) and they weighed their baskets again and they received numbersa2andb2, correspondingly. At last, the first mathematician put all the berries to the second one’s basket (so that his basket became completely empty); they weighed the baskets and got numbersa3andb3, correspondingly. This data was enough to find the winner and the happy mathematicians moved on. Your task is to calculate the mass of the berries in each mathematician’s basket by the start of the competition.

,在乎的是沿途的风景以及看风景的心情,让心灵去旅行!

URAL 2001 Mathematicians and Berries (小学数学题)

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