668. Kth Smallest Number in Multiplication Table
Hard
50 Points
Math
Binary Search
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 kth smallest element in the m x n multiplication table.
Examples
Example 1
Input: m = 3, n = 3, k = 5
Output: 3
Explanation: The 5th smallest number is 3.
Example 2
Input: m = 2, n = 3, k = 6
Output: 6
Explanation: The 6th smallest number is 6.
Constraints
1 <= m, n <= 3 * 1041 <= k <= m * n
668. Kth Smallest Number in Multiplication Table
Hard
50 Points
Math
Binary Search
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 kth smallest element in the m x n multiplication table.
Examples
Example 1
Input: m = 3, n = 3, k = 5
Output: 3
Explanation: The 5th smallest number is 3.
Example 2
Input: m = 2, n = 3, k = 6
Output: 6
Explanation: The 6th smallest number is 6.
Constraints
1 <= m, n <= 3 * 1041 <= k <= m * n