***Median of Two Sorted Arrays (Leetcode 4)

class Solution:
    def findMedianSortedArrays(self, nums1: List[int], nums2: List[int]) -> float:
        
        A=nums1
        B=nums2
        
        if(len(A)>len(B)):
            A,B=B,A
        
        total=len(A)+len(B)
        half=total//2
        
        def bsearch(A,l,r):
            
            Amid=(l+r)//2
            Bmid=half-Amid-2
            
            if(Amid>=0):
                Aleft=A[Amid]
            else:
                Aleft=float('-inf')
            
            if(Amid+1<len(A)):
                Aright=A[Amid+1]
            else:
                Aright=float('inf')
                
            if(Bmid>=0):
                Bleft=B[Bmid]
            else:
                Bleft=float('-inf')
            
            if(Bmid+1<len(B)):
                Bright=B[Bmid+1]
            else:
                Bright=float('inf')
            
            if(Aleft<=Bright and Bleft<=Aright):
                # Odd case
                if(total%2==1):
                    return min(Aright,Bright)
                
                # Even case
                else:
                    return (max(Aleft,Bleft)+min(Aright,Bright))/2
            
            elif(Aleft>Bright):
                return bsearch(A,l,Amid-1)
            else:
                return bsearch(A,Amid+1,r)
        
        return bsearch(A,0,len(A)-1)