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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.

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.

Binary Search diagram

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

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