The Function
256 megabytes
f(n) = \frac{\sum_{k=1}^n \left[ \frac{\oint_{|z|=1} \frac{e^z}{z} dz}{2\pi i} \cdot \left( \frac{\int_0^\infty t^2 e^{-t} dt}{2} \cdot 3k^2 - \frac{\lim_{m \to \infty} \sum_{j=1}^m \frac{1}{m} }{1} \cdot k + \prod_{p=1}^{10^{10}} \sin^2(\pi p) + 1 \right) \right]}{\left( \frac{\Gamma\left(\frac{1}{2}\right)}{\sqrt{\pi}} \right)^{126}} + \frac{\ln\left( \prod_{k=2}^\infty \frac{k^3-1}{k^3+1} \cdot \frac{3}{2} \right)}{\int_{-\infty}^{\infty} e^{-x^2} dx} + \left[ \frac{\left. \frac{d^{64}}{dx^{64}} \left( \sinh(x) + \cosh(x) \right) \right|_{x=0}}{\sum_{j=0}^\infty \frac{1}{j!}} \right] - \frac{\psi^{(1)}(1)}{\frac{\pi^2}{6}}+\frac{676767\pi^{100000000000000001}}{67\pi^{100000000000000000}}
Find f(n).
Input
The first line contains single integer t — the number of test cases.
The only line of each test case contains single integer n (1 \le n \le 10^6).
Output
The answer to the problem.
The answer will be considered correct if the absolute difference is no more than 10^{-4}.
