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Fundamentalnaya i Prikladnaya Matematika, 2020, Volume 23, Issue 3, Pages 37–47 (Mi fpm1897)  

A hundred from a bus ticket

V. V. Borisenkoa, R. Rakhmatovb

a Lomonosov Moscow State University, Moscow, Russia
b Branch of Lomonosov Moscow State University in Dushanbe, Dushanbe, Tajikistan
References:
Abstract: We consider the comic task of obtaining the number $100$ from a six-digit bus ticket number by placing parentheses and symbols for arithmetic operations between some digits. The solution algorithm for a fixed number is reduced to enumerating all binary trees having exactly six terminal nodes with the signs of operations in internal nodes. For six-digit numbers that do not contain duplicate digits and the digit $0$, the problem has a solution for all numbers except the only number $746189$. It is impossible to obtain a hundred from this strange number $746189$.
English version:
Journal of Mathematical Sciences (New York), 2023, Volume 269, Issue 3, Pages 290–297
DOI: https://doi.org/10.1007/s10958-023-06281-9
Document Type: Article
UDC: 004.02
Language: Russian
Citation: V. V. Borisenko, R. Rakhmatov, “A hundred from a bus ticket”, Fundam. Prikl. Mat., 23:3 (2020), 37–47; J. Math. Sci., 269:3 (2023), 290–297
Citation in format AMSBIB
\Bibitem{BorRak20}
\by V.~V.~Borisenko, R.~Rakhmatov
\paper A~hundred from a~bus ticket
\jour Fundam. Prikl. Mat.
\yr 2020
\vol 23
\issue 3
\pages 37--47
\mathnet{http://mi.mathnet.ru/fpm1897}
\transl
\jour J. Math. Sci.
\yr 2023
\vol 269
\issue 3
\pages 290--297
\crossref{https://doi.org/10.1007/s10958-023-06281-9}
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