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27 changes: 27 additions & 0 deletions median_of_two_sorted_array.py
Original file line number Diff line number Diff line change
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class Solution(object):
def findMedianSortedArrays(self, nums1, nums2):
# https://discuss.leetcode.com/topic/16797/very-concise-o-log-min-m-n-iterative-solution-with-detailed-explanation
ls1, ls2 = len(nums1), len(nums2)
if ls1 < ls2:
return self.findMedianSortedArrays(nums2, nums1)
l, r = 0, ls2 * 2
while l <= r:
mid2 = (l + r) >> 1
mid1 = ls1 + ls2 - mid2
L1 = -sys.maxint - 1 if mid1 == 0 else nums1[(mid1 - 1) >> 1]
L2 = -sys.maxint - 1 if mid2 == 0 else nums2[(mid2 - 1) >> 1]
R1 = sys.maxint if mid1 == 2 * ls1 else nums1[mid1 >> 1]
R2 = sys.maxint if mid2 == 2 * ls2 else nums2[mid2 >> 1]
if L1 > R2:
l = mid2 + 1
elif L2 > R1:
r = mid2 - 1
else:
return (max(L1, L2) + min(R1, R2)) / 2.0


if __name__ == '__main__':
# begin
s = Solution()
print s.findMedianSortedArrays([1, 1], [1, 2])