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713. Subarray Product Less Than K

Your are given an array of positive integers nums. Count and print the number of (contiguous) subarrays where the product of all the elements in the subarray is 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.

Note: . 0 < nums.length ⇐ 50000.</li> . 0 < nums[i] < 1000.</li> . 0 ⇐ k < 10^6.</li>

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/**
 * 参考 https://leetcode.cn/problems/subarray-product-less-than-k/solutions/1463527/cheng-ji-xiao-yu-k-de-zi-shu-zu-by-leetc-92wl/[713. 乘积小于 K 的子数组 - 官方题解^]
 *
 * @author D瓜哥 · https://www.diguage.com
 * @since 2024-06-23 16:38:11
 */
public int numSubarrayProductLessThanK(int[] nums, int k) {
  int result = 0;
  int length = nums.length;
  int product = 1;
  int i = 0;
  for (int j = 0; j < length; j++) {
    product *= nums[j];
    while (i <= j && product >= k) {
      product /= nums[i];
      i++;
    }
    result += j - i + 1;
  }
  return result;
}
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