HBC230864[HAOI2010]最长公共子序列,动态规划Linear Fractional Transformation题解

八贝勒算法基础篇 2023-11-10 17:20:02 25 0

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are also pairwise distinct complex numbers, your task is to calculate. . It can be shown that the answer is always unique to the given contraints.

The linear fractional transformations are the functions f(z)=frac{az+b}{cz+d} f(z)= cz+d az+b (a,b,c,d in mathbb{C}, ad-bc neq 0) (a,b,c,d∈C,ad−bc  =0) mapping the extended complex plane mathbb{C} cup { infty } C∪{∞} onto itself. Given f(z_1) = w_1 f(z 1 )=w 1 , f(z_2) = w_2 f(z 2 )=w 2 and f(z_3) = w_3 f(z 3 )=w 3 , where z_1 z 1 , z_2 z 2 and z_3 z 3 are pairwise distinct complex numbers and w_1 w 1 , w_2 w 2 and w_3 w 3 are also pairwise distinct complex numbers, your task is to calculate f(z_0) f(z ) for a certain complex number z_0 z . It can be shown that the answer is always unique to the given contraints.