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# Count all subsequences having product less than K in C++

In this tutorial, we will be discussing a program to find the number of sub sequences having product less than K.

For this we will be provided with non-negative array and a value k. Our task is to find all the subsequences in the array having product less than k.

## Example

#include <bits/stdc++.h> using namespace std; //counting subsequences with product //less than k int count_sub(vector<int> &arr, int k){ int n = arr.size(); int dp[k + 1][n + 1]; memset(dp, 0, sizeof(dp)); for (int i = 1; i <= k; i++) { for (int j = 1; j <= n; j++) { dp[i][j] = dp[i][j - 1]; if (arr[j - 1] <= i && arr[j - 1] > 0) dp[i][j] += dp[i/arr[j-1]][j-1] + 1; } } return dp[k][n]; } int main(){ vector<int> A; A.push_back(1); A.push_back(2); A.push_back(3); A.push_back(4); int k = 10; cout << count_sub(A, k) << endl; }

## Output

11

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