35. Search Insert Position

Problem Link

Description

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Given a sorted array of distinct integers and a target value, return the index if the target is found. If not, return the index where it would be if it were inserted in order.

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

 

Example 1:

Input: nums = [1,3,5,6], target = 5
Output: 2

Example 2:

Input: nums = [1,3,5,6], target = 2
Output: 1

Example 3:

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

 

Constraints:

• 1 <= nums.length <= 104
• -104 <= nums[i] <= 104
• nums contains distinct values sorted in ascending order.
• -104 <= target <= 104

Solution

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Python3

class Solution:
    def searchInsert(self, nums: List[int], target: int) -> int:
        N = len(nums)
        left, right = 0, N
 
        while left < right:
            mid = left + (right - left) // 2
 
            if nums[mid] >= target:
                right = mid
            else:
                left = mid + 1
 
        return left