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 = 5Output: 2Example 2:Input: nums = [1,3,5,6], target = 2Output: 1Example 3:Input: nums = [1,3,5,6], target = 7Output: 4 Constraints:1 <= nums.length <= 104-104 <= nums[i] <= 104nums contains distinct values sorted in ascending order.-104 <= target <= 104
Question
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 = 5Output: 2Example 2:Input: nums = [1,3,5,6], target = 2Output: 1Example 3:Input: nums = [1,3,5,6], target = 7Output: 4 Constraints:1 <= nums.length <= 104-104 <= nums[i] <= 104nums contains distinct values sorted in ascending order.-104 <= target <= 104
Solution
Sure, here is a Python solution using binary search, which has a time complexity of O(log n):
def searchInsert(nums, target):
left, right = 0, len(nums) - 1
while left <= right:
mid = (left + right) // 2
if nums[mid] == target:
return mid
elif nums[mid] < target:
left = mid + 1
else:
right = mid - 1
return left
This function works by initializing two pointers, left and right, to the start and end of the array. Then it enters a loop, which continues as long as left is less than or equal to right. Inside the loop, it calculates the middle index and compares the element at the middle index with the target. If they are equal, it returns the middle index. If the target is greater, it moves the left pointer to the right of the middle index. If the target is smaller, it moves the right pointer to the left of the middle index. If the target is not found in the array, the loop will eventually end and the function will return the left pointer, which is the index where the target should be inserted to maintain the sorted order of the array.
Similar Questions
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