668. Kth Smallest Number in Multiplication Table

668. Kth Smallest Number in Multiplication Table

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 = 5Output: Explanation: The Multiplication Table:1 2 32 4 63 6 9The 5-th smallest number is 3 (1, 2, 2, 3, 3).

Example 2:

Input: m = 2, n = 3, k = 6Output: Explanation: The Multiplication Table:1 2 32 4 6The 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]

class Solution public boolean enough(int x, int m, int n, int k) { int count = 0; for (int i = 1; i <= m; i++) { count += Math.min(x / i, n); } return count >= k; } public int findKthNumber(int m, int n, int k) { int lo = 1, hi = m * n; while (lo < hi) { int mi = lo + (hi - lo) / 2; if (!enough(mi, m, n, k)) lo = mi + 1; else hi = mi; } return

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