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(((N - r_1) / r_1) / ((N - r_2) / r_2)) / ((1 / r_1^2) / (1 / r_2^2)) where r_2 = N - r_1
(((N - r_1) / r_1) / ((N - r_2) / r_2)) / ((1 / r_1^2) / (1 / r_2^2)) where r_2 = N - r_1
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