g2001_2100.s2040_kth_smallest_product_of_two_sorted_arrays

Class Solution

java.lang.Object

g2001_2100.s2040_kth_smallest_product_of_two_sorted_arrays.Solution

public class Solution
extends Object

2040 - Kth Smallest Product of Two Sorted Arrays.

Hard

Given two sorted 0-indexed integer arrays nums1 and nums2 as well as an integer k, return the kth ( 1-based ) smallest product of nums1[i] * nums2[j] where 0 <= i < nums1.length and 0 <= j < nums2.length.

Example 1:

Input: nums1 = [2,5], nums2 = [3,4], k = 2

Output: 8

Explanation: The 2 smallest products are:

• nums1[0] * nums2[0] = 2 * 3 = 6

• nums1[0] * nums2[1] = 2 * 4 = 8

The 2^nd smallest product is 8.

Example 2:

Input: nums1 = [-4,-2,0,3], nums2 = [2,4], k = 6

Output: 0

Explanation: The 6 smallest products are:

• nums1[0] * nums2[1] = (-4) * 4 = -16

• nums1[0] * nums2[0] = (-4) * 2 = -8

• nums1[1] * nums2[1] = (-2) * 4 = -8

• nums1[1] * nums2[0] = (-2) * 2 = -4

• nums1[2] * nums2[0] = 0 * 2 = 0

• nums1[2] * nums2[1] = 0 * 4 = 0

The 6^th smallest product is 0.

Example 3:

Input: nums1 = [-2,-1,0,1,2], nums2 = [-3,-1,2,4,5], k = 3

Output: -6

Explanation: The 3 smallest products are:

• nums1[0] * nums2[4] = (-2) * 5 = -10

• nums1[0] * nums2[3] = (-2) * 4 = -8

• nums1[4] * nums2[0] = 2 * (-3) = -6

The 3^rd smallest product is -6.

Constraints:

• 1 <= nums1.length, nums2.length <= 5 * 104
• -105 <= nums1[i], nums2[j] <= 105
• 1 <= k <= nums1.length * nums2.length
• nums1 and nums2 are sorted.

Constructor Summary

Constructors

Constructor and Description
Solution()

Method Summary

Modifier and Type	Method and Description
long	kthSmallestProduct(int[] nums1, int[] nums2, long k)

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

Solution

public Solution()

Method Detail

kthSmallestProduct

public long kthSmallestProduct(int[] nums1,
                               int[] nums2,
                               long k)