Hello everyone, How to represent negative numbers in balanced ternary?
# | User | Rating |
---|---|---|
1 | jiangly | 3898 |
2 | tourist | 3840 |
3 | orzdevinwang | 3706 |
4 | ksun48 | 3691 |
5 | jqdai0815 | 3682 |
6 | ecnerwala | 3525 |
7 | gamegame | 3477 |
8 | Benq | 3468 |
9 | Ormlis | 3381 |
10 | maroonrk | 3379 |
# | User | Contrib. |
---|---|---|
1 | cry | 167 |
2 | -is-this-fft- | 165 |
3 | Um_nik | 160 |
4 | atcoder_official | 159 |
4 | Dominater069 | 159 |
6 | djm03178 | 157 |
7 | adamant | 153 |
8 | luogu_official | 150 |
8 | awoo | 150 |
10 | TheScrasse | 147 |
Hello everyone, How to represent negative numbers in balanced ternary?
Name |
---|
Taken from https://cp-algorithms.com/algebra/balanced-ternary.html (I don't know if it is the formal one).
Suppose you have a negative number x, find the smallest non-negative k such that $$$3^k \geq -x$$$, then $$$3^k+x \geq 0$$$. The corresponding representation is $$$(-1)$$$$$$($$$representation of $$$3^k+x$$$$$$)$$$. For instance $$$x=-17=-27+10$$$, then its representation is $$$(-1)(101)$$$
Remark: $$$()$$$ for illustration only