Thursday, August 14, 2014

Search in Rotated Sorted Array II

Problem

Follow up for "Search in Rotated Sorted Array":
What if duplicates are allowed?

Would this affect the run-time complexity? How and why?

Write a function to determine if a given target is in the array.


Idea

允许重复元素,则上一题中如果 A[m]>=A[l], 那么 [l,m] 为递增序列的假设就不能成立了,比如 [1,3,1,1,1]。
如果 A[m]>=A[l] 不能确定递增,那就把它拆分成两个条件:
  • 若 A[m]>A[l],则区间 [l,m] 一定递增
  • 若 A[m]==A[l] 确定不了,那就 l++,往下看一步即可。

Solution


Special Cases

  • {1,3,1,1,1} 3
  • {1} 0

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