Chef has an algorithm which takes exactly N² iterations for a test case with value N. The constraints of the problem are as follows: •1≤ T ≤ maxT •1≤N≤ maxN • Sum of N over all test cases does not exceed sum N. Given the values maxT, maxN, and sumN, determine the maximum number of iterations Chef's algorithm can take for any valid input file satisfying all the constraints. Formally speaking, find the maximum value of N² + N² + + N² for: •1≤ T ≤ maxT •1

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