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
Slide l.l.1 This first thing we need to do is discuss the focus of 6.001 What is this course all about? This seems quite obvious-- this What is the focus of 6.001 is a course about computer science. But we are going to claim This course is about Computer Science in a rather strange way that this is not really true