Wednesday, July 22, 2015

LintCode (159) Find Minimum in Rotated 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.
Have you met this question in a real interview? 
Yes
Example
Given [4, 5, 6, 7, 0, 1, 2] return 0

Note
You may assume no duplicate exists in the array.

二分法, 和search一样。。。其实还要更简单。。。。


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class Solution {
public:
    /**
     * @param num: a rotated sorted array
     * @return: the minimum number in the array
     */
    int findMin(vector<int> &num) {
        if (num.empty())
            return -1;
        
        int beg = 0;
        int end = num.size()-1; 
        if (num[beg]<num[end])
            return num[beg];
        while(beg+1<end){
            int mid=beg+(end-beg)/2;
            if (num[mid]>num[beg])
                beg=mid;
            else
                end=mid;
        }
        return min(num[beg],num[end]);
    }
    
};

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