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Minimum K product

Last Updated: 23 Sep, 2020
Difficulty: Easy


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You are given an array 'ARR' of 'N' positive integers and a positive integer 'K'.

Your task is to find the minimum product of K integers of the given array.


You need to return the product modulo 10^9 + 7.

For Example :

If the given array is [1, 4, 2 ,6, 3] and K = 3. 
Then answer will be 6 by taking the product of integers 1, 2, and 3.

Follow Up:

Can you solve it in less than O(N * logN) time complexity?
Input format :
The first line of input contains a single integer T, representing the number of test cases or queries to be run. 
Then the T test cases follow.

The first line of each test case contains two positive integers 'N' and 'K', where N is the size of the given array 'ARR' and K is the number of elements of the array of which minimum product is to be found.

The next line contains 'N' single space-separated positive integers representing the elements of the array.
Output Format :
For each test case, print an integer denoting the minimum product of K integers modulo 10^9+7 in a single line.
You do not need to print anything. It has already been taken care of. Just implement the given function.
Constraint :
1 <= T <= 10
1 <= N <= 10^5
1 <= ARR[i] <= 10^9
1 <= K <= N

Time Limit: 1 sec

Approach 1

  1. Sort the given array ‘ARR’ in increasing order.
  2. Initialise a variable ‘ANS’ to 1.
  3. Run a loop from 0 to ‘K’ and store the product of elements in the ‘ANS’ variable by taking the modulo at each multiplication.
  4. Return the ‘ANS’ % ‘MODULO’.
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