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6. Search Insert Position

easyAsked at Instacart

Binary search for insertion point in a sorted array — Instacart uses this to gauge binary-search fluency before pricing-tier lookups.

By Alex Chen, Founder, InterviewChamp.AI · Last verified

Problem

Given a sorted array of distinct integers and a target value, return the index if found. Otherwise, return the index where it would be inserted to keep the array sorted.

Constraints

  • 1 <= nums.length <= 10^4
  • -10^4 <= nums[i] <= 10^4
  • All values in nums are unique

Examples

Example 1

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

Example 2

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

Approaches

1. Linear scan

Walk until you find a value >= target.

Time
O(n)
Space
O(1)
for (let i = 0; i < nums.length; i++) {
  if (nums[i] >= target) return i;
}
return nums.length;

Tradeoff:

2. Binary search

Standard lower-bound binary search returning the left pointer.

Time
O(log n)
Space
O(1)
function searchInsert(nums, target) {
  let lo = 0, hi = nums.length;
  while (lo < hi) {
    const mid = (lo + hi) >> 1;
    if (nums[mid] < target) lo = mid + 1;
    else hi = mid;
  }
  return lo;
}

Tradeoff:

Instacart-specific tips

Instacart often tests this as a lookup into a sorted price-tier table for promo selection — be ready to defend the half-open interval convention.

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Output

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