Subarray Product Less Than K
Problem Statement - link #
Given an array of integers nums
and an integer k
, return the number of contiguous subarrays where the product of all the elements in the subarray is strictly less than k
.
Examples #
Example 1:
Input: nums = [10,5,2,6], k = 100
Output: 8
Explanation: The 8 subarrays that have product less than 100 are:
[10], [5], [2], [6], [10, 5], [5, 2], [2, 6], [5, 2, 6]
Note that [10, 5, 2] is not included as the product of 100 is not strictly less than k.
Example 2:
Input: nums = [1,2,3], k = 0
Output: 0
Constraints #
1 <= nums.length <= 3 * 10^4
1 <= nums[i] <= 1000
0 <= k <= 10^6
Solutions #
class Solution {
public:
int numSubarrayProductLessThanK(vector<int>& nums, int k) {
if(k<=1) return 0;
int pro = 1, left = 0, res = 0;
for(int r=0; r<nums.size(); r++){
pro *= nums[r];
while(pro >= k) pro/= nums[left++];
res += r - left + 1;
}
return res;
}
};