面试题11

把一个数组最开始的若干个元素搬到数组的末尾,我们称之为数组的旋转。输入一个递增排序的数组的一个旋转,输出旋转数组的最小元素。例如,数组 [3,4,5,1,2] 为 [1,2,3,4,5] 的一个旋转,该数组的最小值为1。

示例 1:

输入:[3,4,5,1,2]
输出:1

示例 2:

输入:[2,2,2,0,1]
输出:0

Solutions

  1. binary search O(log(n)) worst-case: O(n)

  2. See problem 154.

class Solution {
public:
    int minArray(vector<int>& numbers) {
        if (!numbers.size()) return 0;
        int lo = 0, hi = numbers.size() - 1;

        while (lo < hi) {
            int mid = lo + ((hi - lo) >> 1);
            if (numbers[mid] < numbers[hi])
                hi = mid;
            else if (numbers[mid] > numbers[hi])
                lo = mid + 1;
            else
                hi--;
        }

        return numbers[lo];
    }
};

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