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- Title
A Hundred from a Bus Ticket.
- Authors
Borisenko, V. V.; Rakhmatov, R.
- 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.
- Subjects
TICKETS; BUSES; ARITHMETIC; COMIC books, strips, etc.; ALGORITHMS
- Publication
Journal of Mathematical Sciences, 2023, Vol 269, Issue 3, p290
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-023-06281-9