Algorithm 1 Iterative Randomized Select

Input: a sequence $A$ of $n$ elements and an integer $i$

Output: the $i$ -th element of $A$

1: $p = 1$

2: $r = n$

3:while $p < r$ do

4: $q =$ RandomizedPartition( $A, p, r$ )

5:if $q < i$ then

6: $p = q + 1$

7:else if $q > i$ then

8: $r = q - 1$

9:else

10:return $A[q]$

11:end if

12:end while

13:return $A[p]$