• 33. Search in Rotated Sorted Array


    Problem:

    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.

    Your algorithm's runtime complexity must be in the order of O(log n).

    Example 1:

    Input: nums = [4,5,6,7,0,1,2], target = 0
    Output: 4
    

    Example 2:

    Input: nums = [4,5,6,7,0,1,2], target = 3
    Output: -1
    

    思路

    Solution (C++):

    int search(vector<int>& nums, int target) {
        if (nums.empty()) return -1;
        int n = nums.size(); 
        int pivot = n - 1;
        for (int i = 0; i < n - 1; ++i) {
            if (nums[i] > nums[i+1]) { pivot = i; break; }
        }
        int index = binarySearch(nums, 0, pivot, target);
        if (index == -1) index = binarySearch(nums, pivot+1, n-1, target);
        return index;
        
    }
    int binarySearch(vector<int>& v, int low, int high, int target) {
        while (low <= high) {
            int mid = low + (high - low) / 2;
            if (v[mid] == target)  return mid;
            else if (v[mid] < target)  low = mid + 1;
            else high = mid - 1;
        }
        return -1;
    }
    

    性能

    Runtime: 0 ms  Memory Usage: 6.6 MB

    思路

    Solution (C++):

    
    

    性能

    Runtime: ms  Memory Usage: MB

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  • 原文地址:https://www.cnblogs.com/dysjtu1995/p/12613344.html
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