HackerRank Python Solution - Itertools Topic - Maximize it!

• You are given a function f(X) = X². You are also given K lists. The i_th list consists of N_i elements.

• You have to pick one element from each list so that the value from the equation below is maximized:

• S = (f(X₁) + f(X₂) +....+ f(X_k)) % M

• X_i denotes the element picked from the i^th list. Find the maximized value S_max obtained.

• % denotes the modulo operator.

• Note that you need to take exactly one element from each list, not necessarily the largest element. You add the squares of the chosen elements and perform the modulo operation. The maximum value that you can obtain, will be the answer to the problem.

Input Format:

• The first line contains 2 space-separated integers K and M.

• The next K lines each contain an integer N_i, denoting the number of elements in the i_th list, followed by N_i space-separated integers denoting the elements in the list.

Constraints:

• 1 <= K <= 7

• 1 <= M <= 1000

• 1 <= N_i <= 7

• 1 <= Magnitude of elements in list <= 10⁹

Output Format:

Output a single integer denoting the value S_max.

Sample Input:

3 1000
2 5 4
3 7 8 9 
5 5 7 8 9 10 

Sample Output:

206

Explanation:

Picking 5 from the 1^st list, 9 from the 2^nd list, and 10 from the 3^rd list gives the maximum S value equal to (5² + 9² + 10² ) % 1000 = 206.

Solution:

from itertools import product

K, M = map(int,input().split())

N = (list(map(int, input().split()))[1:] for _ in range(K))

max_lst = []
for item in product(*N):
    S = 0
    for val in item:
        S += val**2
    S_max = S % M
    max_lst.append(S_max)
    
print(max(max_lst))

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