When nums[mid] < nums[right], the right part is sorted.
When nums[mid] > nums[right], the left part is sorted.
When nums[mid] == nums[right], shrink the right part.
class Solution:
def search(self, nums: List[int], target: int) -> bool:
left, right = 0, len(nums) - 1
while left <= right:
mid = left + (right - left) // 2
if nums[mid] == target:
return True
if nums[mid] < nums[right]:
# right part is sorted
if nums[mid] < target <= nums[right]:
left = mid + 1
else:
right = mid - 1
elif nums[mid] > nums[right]:
# left part is sorted
if nums[left] <= target < nums[mid]:
right = mid - 1
else:
left = mid + 1
else:
# nums[mid] == nums[right]
# bypass current nums[right]
right -= 1
return False
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