题目描述
Chef, being a Chess fan, was thrilled after he read the following news:
[Michael Simkin, a postdoctoral fellow at Harvard University’s Center of Mathematical Sciences and Applications proved that for a large value of N, there are approximately $(0.143 \cdot N)^N$ configurations in which N queens can be placed on $a N \times N$ chessboard so that none attack each other.]
Although the formula is valid for large N, Chef is interested in finding the value of function $f(N) = (0.143 \cdot N)^N$ for a given small value of N. Since Chef is busy understanding the [proof] of the formula, please help him calculate this value.
Print the answer rounded to the nearest integer. That is, if the actual value of f(N) is x,
Print $\lfloor x\rfloor$ if $x - \lfloor x\rfloor < 0.5$
Otherwise, print $\lfloor x\rfloor + 1$
where $\lfloor x\rfloor$ denotes the [floor] of x.
------ Input Format ------
- The first line of input contains a single integer T, denoting the number of test cases. The description of T test cases follows.
- Each test case consists of a single line of input containing one integer N.
------ Output Format ------
For each test case, output in a single line the value of f(N) rounded to the nearest integer.
------ Constraints ------
$1 ≤ T ≤ 12$
$4 ≤ N ≤ 15$
------ subtasks ------
Subtask #1 (100 points): Original constraints
----- Sample Input 1 ------
2
4
10
----- Sample Output 1 ------
0
36
----- explanation 1 ------
Test case $1$: $f(N) = (0.143 \cdot 4)^4 = 0.107$, which when rounded to nearest integer gives $0$.
Test case $2$: $f(N) = (0.143 \cdot 10)^{10} = 35.7569$, which when rounded to nearest integer gives $36$.
输入格式
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输出格式
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