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published at 8/25/12, 1:02:15 pm

четность ak и расстояния (количество уровней между k-тым и m-тым) одинакова

Can you please explain what does this line mean. What does 'четность ak' evaluate to.

published at 8/25/12, 10:54:08 pm

It means parity of ak. ak can be odd or even. The parity of ak and the parity of distance mast be the same.