704. Binary Search

Given an array of integers nums which is sorted in ascending order, and an integer target, write a function to search target in nums. If target exists, then return its index. Otherwise, return -1.

You must write an algorithm with O(log n) runtime complexity.

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
Example 1:

Input: nums = [-1,0,3,5,9,12], target = 9
Output: 4
Explanation: 9 exists in nums and its index is 4

Example 2:

Input: nums = [-1,0,3,5,9,12], target = 2
Output: -1
Explanation: 2 does not exist in nums so return -1

Constraints:

  • 1 <= nums.length <= 104
  • -10^4 < nums[i], target < 10^4
  • All the integers in nums are unique.
  • nums is sorted in ascending order.

Solution

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
class Solution {
    public int search(int[] nums, int target) {
        int lo = 0;
        int hi = nums.length - 1;
        while (lo < hi) {
            int mid = lo + (hi - lo) / 2;
            if (target <= nums[mid]) {
                hi = mid;
            } else {
                lo = mid + 1;
            }
        }
        
        return nums[lo] == target? lo: -1;
    }
    // symmetric, target exists in nums
    public int search2(int[] nums, int target) {
        int lo = 0;
        int hi = nums.length - 1;
        while (lo <= hi) {
            int mid = lo + (hi - lo) / 2;
            if (target == nums[mid]) {
                return mid;
            } else if (target < nums[mid]) {
                hi = mid - 1;
            } else {
                lo = mid + 1;
            }
        }
        
        return -1;
    }
}