# Tìngäzìk: a Retrospective – ep. 8 “Nemeth”

## Nemeth #math

### Expected solvable difficulty

• nohint+: experienced solvers
• keywords+: most solvers

### Level design

Idea of this question came from Codeforce #1505F, the fifth question in the April Fools’ Day Contest 2021. 1505F has shown its equation in 2 different notations, Nemeth and UEB. However, writing long mathematical notations in 2 different notations was time consuming and would not help much on solving this problem. I then decided to only use Nemeth as it is the most common result coming out of the search results when searching for “braille math”.

The main question is taken from a once viral integral question used in a Chinese university for Wi-Fi password.

\int_{-2}^{2}\left(x^3\cos{x\over 2}+{1\over 2}\right)\sqrt{4-x^2}\ \text{d}x

The other questions are generated by Wolfram Problem Generator, and was picked randomly.

\begin{align*}
&\int_{-2}^{2}\left(x^3\cos{x\over 2}+{1\over 2}\right)\sqrt{4-x^2}\ \text{d}x\\
=\ &\pi\\
\approx\ &3.1415627
\end{align*}
\begin{align*}
5^{2+2x} \times 5^{18-16x} &= 5^{14x-1}\\
x &= 0.75
\end{align*}
\begin{align*}
&9\sqrt{11} \times 11\sqrt{7}\\
=\ &99\sqrt{77}\\
\approx\ &868.72147
\end{align*}
442\div13=34

### Expected thought process

See Braille notation, try to translate. Then see “8 sig fig”, and know that the question is about mathematics. Look up for mathematical notations in Braille, then find Nemeth and UEB. Narrow down to UEB through trial and error. Finally, translate the question and calculate the answer.