Leaderboard
Showing:
Handle Score
@Ibrahim Nash 6379
@blackshadows 6329
@mb1973 5358
@Quandray 5231
@akhayrutdinov 5111
@saiujwal13083 4510
@sanjay05 3762
@marius_valentin_dragoi 3522
@sushant_a 3459
@verma_ji 3357
@KshamaGupta 3318
Complete Leaderboard
Number of subsets and mean
Easy Accuracy: 48.31% Submissions: 176 Points: 2

Let Max be the maximum possible mean of a multiset of values obtained from an array Arr of length N. Let Min be the minimum possible mean of a multiset of values obtained from the same array. Note that in a multiset values may repeat. The task is to find the number of multisets with mean as Max and the number of multisets with mean as Min. The answer may be too large so output the number of multisets modulo 109+7.

 

Example 1:

Input:
N = 5
Arr = {3, 1, 2, 3, 4} 
Output:
1 1
Explanation:
The maximum possible Mean of a Subset
of the array is 4. There can be only 1
such subset - {3, 1, 2, 3, 4}.
The minimum possible Mean of a Subset
of the array is 1. There can be only 1
such subset - {3, 1, 2, 3, 4}.

Example 2:

Input:
N = 3
Arr = {1, 2, 1} 
Output:
1 3
Explanation:
The maximum possible Mean of a Subset
of the array is 2. There can be only 1
such subset - {1, 2, 1}.
The minimum possible Mean of a Subset
of the array is 1. There can be 3 such
subsets - {1, 2, 1}; {1, 2, 1}; {1, 2, 1}.

 

Your Task:
You don't need to read input or print anything. Your task is to complete the function numOfSubsets() which takes an Integer N and an array Arr[] as input and returns a vector of two numbers- the number of multisets with mean as Max and the number of multisets with mean as Min.

 

Expected Time Complexity: O(N)
Expected Auxiliary Space: O(N)

 

Constraints:
1 <= N <= 105
1 <= Arr[i] <= 105

to report an issue on this page.

Editorial

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

Yes

All Submissions

My Submissions:

Login to access your submissions.

Number of subsets and mean

Output Window