Kth Smallest Number in Multiplication Table

Similar Problems:

Nearly every one have used the Multiplication Table. But could you find out the k-th smallest number quickly from the multiplication table?

Given the height m and the length n of a m * n Multiplication Table, and a positive integer k, you need to return the k-th smallest number in this table.

Example 1:

Input: m = 3, n = 3, k = 5 Output: Explanation: The Multiplication Table: 1 2 3 2 4 6 3 6 9 The 5-th smallest number is 3 (1, 2, 2, 3, 3).

Example 2:

Input: m = 2, n = 3, k = 6 Output: Explanation: The Multiplication Table: 1 2 3 2 4 6 The 6-th smallest number is 6 (1, 2, 2, 3, 4, 6).

Note:

- The m and n will be in the range [1, 30000].
- The k will be in the range [1, m * n]

Github: code.dennyzhang.com

Credits To: leetcode.com

Leave me comments, if you have better ways to solve.

- Solution:

**General Thinkings:**

**Key Observations:**

**Walk Through Testdata**

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