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Top K Smallest Distances
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Top K Smallest Distances

MediumPython

Problem

Given a sorted array of integers (e.g., [1, 2, 4, 7, 11, 16]), where distance between two numbers is defined as d = |a - b|, find the top K pairs with the smallest distances. For example, if K = 2, the result is [(1, 2), (2, 4)] corresponding to distances 1 and 2.

Asked in the Virtual Onsite stage. Implement top_k_pairs(nums, k).

Input and Output

nums is a sorted list of integers, and k is a positive integer. Return up to k pairs as lists [nums[i], nums[j]], ordered by increasing distance. Break equal-distance ties by increasing i, then increasing j.

Constraints

  • 2 <= nums.length <= 10000
  • nums is sorted in nondecreasing order
  • -10^9 <= nums[i] <= 10^9
  • 1 <= k <= 10^8
  • Pairs use distinct indices

Function Signature

def top_k_pairs(nums, k):
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