[Solution] Slow Solution CodeChef Solution | Codechef Solution

[Solution] Slow Solution CodeChef Solution | Codechef Solution 2022

Chef is trying to solve a problem having T$T$ test cases, where, for each test case he is given a single integer N$N$.

Chef has an algorithm which takes exactly N2$N^2$ iterations for a test case with value N$N$.

The constraints of the problem are as follows:

• 1≤T≤maxT$1\le T\le maxT$
• 1≤N≤maxN$1\le N\le maxN$
• Sum of N$N$ over all test cases does not exceed sumN$sumN$.

Given the values maxT,maxN,$maxT,maxN,$ and sumN$sumN$, determine the maximum number of iterations Chef's algorithm can take for any valid input file satisfying all the constraints.

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Formally speaking, find the maximum value of N21+N22+⋯+N2T$N_1^2+N_2^2+\cdots +N_T^2$ for any valid input file satisfying all the constraints.

Input Format

• The first line of input will contain a single integer T$T$, denoting the number of test cases.
• Each test case consists of single line consisting of three integers maxT,maxN,$maxT,maxN,$ and sumN$sumN$.

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Output Format

For each test case, output the the maximum number of iterations Chef's algorithm can take in any valid test file.

Constraints

• 1≤T≤1000$1\le T\le 1000$
• 1≤maxT≤maxN≤sumN≤104