Medium
Given an integer array nums
and two integers k
and p
, return the number of distinct subarrays which have at most k
elements divisible by p
.
Two arrays nums1
and nums2
are said to be distinct if:
i
where nums1[i] != nums2[i]
.A subarray is defined as a non-empty contiguous sequence of elements in an array.
Example 1:
Input: nums = [2,3,3,2,2], k = 2, p = 2
Output: 11
Explanation:
The elements at indices 0, 3, and 4 are divisible by p = 2.
The 11 distinct subarrays which have at most k = 2 elements divisible by 2 are:
[2], [2,3], [2,3,3], [2,3,3,2], [3], [3,3], [3,3,2], [3,3,2,2], [3,2], [3,2,2], and [2,2].
Note that the subarrays [2] and [3] occur more than once in nums, but they should each be counted only once.
The subarray [2,3,3,2,2] should not be counted because it has 3 elements that are divisible by 2.
Example 2:
Input: nums = [1,2,3,4], k = 4, p = 1
Output: 10
Explanation:
All element of nums are divisible by p = 1.
Also, every subarray of nums will have at most 4 elements that are divisible by 1.
Since all subarrays are distinct, the total number of subarrays satisfying all the constraints is 10.
Constraints:
1 <= nums.length <= 200
1 <= nums[i], p <= 200
1 <= k <= nums.length
class Solution {
fun countDistinct(nums: IntArray, k: Int, p: Int): Int {
val numSubarray = HashSet<Long>()
for (i in nums.indices) {
var countDiv = 0
var hashCode: Long = 1
for (j in i until nums.size) {
hashCode = 199L * hashCode + nums[j]
if (nums[j] % p == 0) {
countDiv++
}
if (countDiv <= k) {
numSubarray.add(hashCode)
} else {
break
}
}
}
return numSubarray.size
}
}