Find Minimum in Rotated Sorted Array

题目来源
Suppose an array sorted in ascending order 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.

一开始做的题目呢,是没有重复的数组,用直接遍历的话显然是不行的,会超时。那就二分查找吧,这个想法也很自然嗯嗯。不考虑重复元素的话直接如下就下可以了。因为没有重复元素,所以当nums[mid] == nums[l]的时候,实际上就相当于mid == l

class Solution {
public:
    int findMin(vector& nums) {
        int n = nums.size();
        int l = 0, r = n - 1, mid = 0;
        while (l < r) {
            if (nums[l] < nums[r])
                return nums[l];
            mid = (l + r) / 2;
            if (nums[mid] >= nums[l])
                l = mid + 1;
            else
                r = mid;
        }
        return nums[l];
    }
};

假如数组中存在重复元素的话,那么对于nums[mid] == nums[l]的情况呢,我是直接把l加1。反正l加1之后最小值肯定还是在lr之间的,代码如下:

class Solution {
public:
    int findMin(vector& nums) {
        int n = nums.size();
        int l = 0, r = n - 1, mid = 0;
        while (l < r) {
            if (nums[l] < nums[r])
                return nums[l];
            mid = (l + r) / 2;
            if (nums[mid] > nums[l])
                l = mid + 1;
            else if (nums[mid] == nums[l])
                l = l + 1;
            else
                r = mid;
        }
        return nums[l];
    }
};

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