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27 changes: 27 additions & 0 deletions Median_of_Two_Sorted_Arrays.py
Original file line number Diff line number Diff line change
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class Solution:
def findMedianSortedArrays(self, nums1, nums2):
if len(nums1) > len(nums2):
nums1, nums2 = nums2, nums1

m, n = len(nums1), len(nums2)
total = m + n
half = total // 2

left, right = 0, m
while left <= right:
i = (left + right) // 2
j = half - i
nums1_left = nums1[i - 1] if i > 0 else float('-inf')
nums1_right = nums1[i] if i < m else float('inf')
nums2_left = nums2[j - 1] if j > 0 else float('-inf')
nums2_right = nums2[j] if j < n else float('inf')

if nums1_left <= nums2_right and nums2_left <= nums1_right:
if total % 2:
return min(nums1_right, nums2_right)
return (max(nums1_left, nums2_left) + min(nums1_right, nums2_right)) / 2

elif nums1_left > nums2_right:
right = i - 1
else:
left = i + 1