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Smallest Range Covering Elements from K Lists

You have k lists of sorted integers in non-decreasing order.

You have k lists of sorted integers in non-decreasing order. Find the smallest range that includes at least one number from each of the k lists.

We define the range [a, b] is smaller than range [c, d] if b - a < d - c or a < c if b - a == d - c.

Example 1

Input: nums = [[4,10,15,24,26],[0,9,12,20],[5,18,22,30]]

Output: [20,24]

Explanation: List 1: [4, 10, 15, 24,26], 24 is in range [20,24]. List 2: [0, 9, 12, 20], 20 is in range [20,24]. List 3: [5, 18, 22, 30], 22 is in range [20,24].

Example 2

Input: nums = [[1,2,3],[1,2,3],[1,2,3]]

Output: [1,1]

Constraints

  • nums.length == k
  • 1 <= k <= 3500
  • 1 <= nums[i].length <= 50
  • -10^5 <= nums[i][j] <= 10^5
  • nums[i] is sorted in non-decreasing order.

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