Homework 21. 2nis O(n!)Base Case:C=2k=0n > k,2nÆC(n)!1>0,21Æ2(1)!2Æ2XInduction Hypothesis:2Kis O(K!)2K< C(K!)2K<2(K!)for all K >kInduction Steps:want to prove: 2K+1is O(K+1)! ( this is the same as 2K+1<2(K+1)! )2K(2)<2(K!)(2)Æ2(
This is the end of the preview.
access the rest of the document.