space-complexity

T(n) = T(n/10) + T(an) + n, how to solve this?

混江龙づ霸主 提交于 2021-01-20 11:21:06
问题 Update: I'm still looking for a solution without using something from outside sources. Given: T(n) = T(n/10) + T(an) + n for some a , and that: T(n) = 1 if n < 10 , I want to check if the following is possible (for some a values, and I want to find the smallest possible a ): For every c > 0 there is n 0 > 0 such that for every n > n 0 , T(n) >= c * n I tried to open the function declaration step by step but it got really complicated and I got stuck since I see no advancement at all. Here is