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LeetCode Find Minimum in Rotated Sorted Array II

2015-07-27 16:25 381 查看
Follow up for "Find Minimum in Rotated Sorted Array":
What if duplicates are allowed?Would this affect the run-time complexity? How and why?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.The array may contain duplicates.思路分析:这题类似于LeetCode Find Minimum in Rotated Sorted Array ,具体解析可以参考前一篇,这题的特殊之处是数组中可以有重复元素,那么当A[m]=A[l]时,执行l++即可。此时,就只可以排除掉一个元素,而不是一半元素,最坏情况下算法时间复杂度是O(n),不再是O(logN)。AC Code:
public class Solution {
     public int findMin(int[] nums) {
        int n = nums.length;
        int l = 0;
        int r = n-1;
        int min = nums[0];
        while(l < r){
    	    int m = l + (r-l) / 2;
        	if(nums[m] < nums[l]) {
        		min = Math.min(nums[m], min);
        	    r = m;
            } else if(nums[m] > nums[l]){
            	min = Math.min(nums[l], min);
            	l = m;
            } else {
            	l++;
            }
        }
        min = Math.min(nums[l], min);
        min = Math.min(nums[r], min);
        return min;
    }
}
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