Maximum sum
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Mathamatics
Problem
58% Success 134 Attempts 30 Points 1s Time Limit 256MB Memory 1024 KB Max Code
You are given a positive integer \(N\). Your task is to determine the maximum value of \(X\), where for any value of \(K\) between \(1\) to \(N\), the value of \(X\) is as follows:
\( X = \sum\limits_{i=1}^K ((-1)^{i+1})(i)(i+1) \) .
Input format
- First line: \(T\) denoting the number of test cases
- Next \(T\) lines: A single integer \(N\)
Output format
For each test case, print the maximum value of \(X\).
Constraints
\( 1 \le T \le 10^{5} \)
\( 1 \le N \le 10^{9} \)
\( 1 \le K \le N \)
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