Algorithm 1 Two Array Median

Input: two sorted array $X$ and $Y$ of size $n$

Output: the median of the total $2n$ elements

1:procedure Median( $X, Y, n$ )

2:if $n = 1$ then

3:return Min( $X[1], Y[1]$ )

4:end if

5:if $X[n/2] < Y[n/2]$ then

6:return Median( $X[n/2+1..n], Y[1..n/2], n/2$ )

7:else

8:return Median( $X[1..n/2], Y[n/2+1..n], n/2$ )

9:end if

10:end procedure