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K-th Smallest in Lexicographical Order

Given two integers n and k, return the kth lexicographically smallest integer in the range [1, n].

Given two integers n and k, return the kth lexicographically smallest integer in the range [1, n].

Example 1

Input: n = 13, k = 2

Output: 10

Explanation: The lexicographical order is [1, 10, 11, 12, 13, 2, 3, 4, 5, 6, 7, 8, 9], so the second smallest number is 10.

Example 2

Input: n = 1, k = 1

Output: 1

Constraints

  • 1 <= k <= n <= 10^9

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