题目:
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). You are given a target value to search. If found in the array return its index, otherwise return -1. You may assume no duplicate exists in the array.
分析:
此题目难度为hard,解此题目采用二分查找.难度在于如何确定边界。
二分查找算法就是不断将数组进行对半分割,每次拿中间元素和目标值进行比较。时间复杂度为O(log(n))
代码实现:
class Solution {
public:
int search(
vector<int>& nums,
int target) {
int first =
0, last = nums.size();
while (first != last)
{
const int mid = first + (last - first) /
2;
if (nums[mid] == target)
return mid;
if (nums[first] <= nums[mid])
{
if (nums[first] <= target && target < nums[mid])
last = mid;
else
first = mid +
1;
}
else {
if (nums[mid] < target && target <= nums[last-
1])
first = mid +
1;
else
last = mid;
}
}
return -
1;
}
};
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