P14813 [CCPC 2024 哈尔滨站] Weird Ceiling
Description
While learning about the ceiling function, a student wrote the following pseudocode:
:::align{center}

:::
You know that this is incorrect, but you are curious about the characteristics of the function $f(a,b)$ defined by this student. Specifically, you want to calculate the value of $\sum_{i=1}^n f(n,i)$.
Input Format
The first line contains an integer $T$ ($1\le T\le 10^3$), indicating the number of test cases.
For each test case, there is one line containing an integer $n$ ($1\le n\le 10^9$).
Output Format
For each test case, output one line containing an integer representing the answer.