A jellyfish lives on a $$$1$$$-dimensional coordinate system (i.e. a number line). It starts at point $$$0$$$, and wants to swim to point $$$n$$$, where $$$n$$$ is some multiple of $$$12$$$. Unfortunately, jellyfish can't swim in the night. In each day, with $$$12$$$ hours of sunlight, the jellyfish will swim $$$1$$$ point forward each hour. However, when night comes, for another $$$12$$$ hours, it will let itself drift in the current, each hour moving either $$$1$$$ point forward, $$$1$$$ point backward, or not moving at all. All three possibilities occur with equal probability (that is, each possible move occurs with probability $$$\frac{1}{3}$$$). The jellyfish would like to know what the expected number of days are before it reaches its destination. Alas, as it is a jellyfish, it does not know how expected value works. Please help it!
Each test contains multiple test cases. The first line contains the number of test cases $$$t$$$ ($$$1 \le t \le 100$$$). The description of the test cases follows.
The first and only line of each test case contains a single integer, $$$n$$$ ($$$12 \le n \le 1200$$$). Note that $$$n$$$ is guaranteed to be a multiple of $$$12$$$.
For each test case, print a single integer denoting the expected number of days before the jellyfish reaches its destination.
2 12 24
1 2
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