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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
.
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 * 104
1 <= nums[i] <= 1000
0 <= k <= 106
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- Maximum Product Subarray (Medium)
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Hints
Hint 1
For each j, let opt(j) be the smallest i so that nums[i] * nums[i+1] * ... * nums[j] is less than k. opt is an increasing function.