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Find Minimum in Rotated Sorted Array

Suppose a sorted array is rotated at some pivot unknown to you beforehand.

(i.e., 0 1 2 4 5 6 7 might become 4 5 6 7 0 1 2).

Find the minimum element.

You may assume no duplicate exists in the array.

分析:

排好序的数组基于某个位置截断然后前后两段交换一下,

[0,1,2], [4,5,6,7] => [4,5,6,7], [0,1,2]

 

前后两段都应该是递增序列,所以遍历列表,如果某个元素小于前一个,那就是截断的第一段序列的开始,就是要找的整个列表里面的最小值。

 

class Solution:    # @param num, a list of integer    # @return an integer    def findMin(self, num):        pre = num[0]        for i in num[1:]:            if i < pre:                return i            else:                pre = i        return num[0]if __name__ == __main__:    s = Solution()    assert s.findMin([4, 5, 6, 7, 0, 1, 2]) == 0    print PASS

小结:

这个问题从直觉上就是这个解法,直接写了代码就Accepted了。

Find Minimum in Rotated Sorted Array