Kth Smallest Number in Multiplication Table
Nearly everyone has used the Multiplication Table. The multiplication table of size m x n is an integer matrix mat where mat[i][j] == i * j (1-indexed).
Given three integers m, n, and k, return the k^th smallest element in the m x n multiplication table.
Example 1
Input
m = 3, n = 3, k = 5Output
3The 5^th smallest number is 3.
Example 2
Input
m = 2, n = 3, k = 6Output
6The 6^th smallest number is 6.
Constraints
- 1 <= m, n <= 3 * 10^4
- 1 <= k <= m * n