1. Whatever happens is determined by prior events. (Determinism) 2. I act freely iff I am able to act otherwise. (Avoidability Analysis of Freedom) 3. If my action is determined, am unable to act otherwise. 4. So, I never act freely. I. Consider(1): Determinism:
Order statistics Select the ith smallest of n elements(the element with rank i i=l: minimum, .i=n: marimum, i=L(n+1)/2]or[(n+1)/2 median Naive algorithm: Sort and index ith element Worst-case running time =o(n Ig n)+o(1 o(nIg n using merge sort or heapsort(not quicksort) c 2001 by Charles E Leiserson
chapter 9 GRAPH ALGORITHMs $I Definitions e G(V,E) where G: =graph, V=V(G): :=finite nonempty set of vertices, andE=E(G): : = finite set of edges. d' Undirected graph:(V;,vi)=(j,vi): =the same edge 6 Directed graph(digraph): :=2* I tailhead
