can anyone help me? How to solve this problem in Extended Euclid algorithm??? https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=1574
# | User | Rating |
---|---|---|
1 | tourist | 4009 |
2 | jiangly | 3823 |
3 | Benq | 3738 |
4 | Radewoosh | 3633 |
5 | jqdai0815 | 3620 |
6 | orzdevinwang | 3529 |
7 | ecnerwala | 3446 |
8 | Um_nik | 3396 |
9 | ksun48 | 3390 |
10 | gamegame | 3386 |
# | User | Contrib. |
---|---|---|
1 | cry | 165 |
2 | maomao90 | 163 |
2 | Um_nik | 163 |
4 | atcoder_official | 161 |
5 | adamant | 160 |
6 | -is-this-fft- | 158 |
7 | awoo | 157 |
8 | TheScrasse | 154 |
9 | nor | 153 |
9 | Dominater069 | 153 |
can anyone help me? How to solve this problem in Extended Euclid algorithm??? https://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&page=show_problem&problem=1574
Name |
---|
Why Extended Euclid algorithm? We can apply simple logic. Let's represent the number $$$N$$$ as $$$10*a+b$$$ where $$$b \lt 10$$$ and $$$M = a$$$. So we are given the number $$$X=N-M=10*a+b-a = 9*a+b$$$. We can easily see that if $$$b \neq 0$$$ and $$$b \neq 9$$$ (i.e. $$$X$$$ % $$$9 \neq 0$$$) then $$$a = X / 9$$$, $$$b = X$$$ % $$$9$$$ and $$$N$$$ can be unique restored. If $$$b$$$ is $$$0$$$ or $$$9$$$ (i.e. $$$X \% 9 = 0$$$) then for $$$N$$$ we have two possibilities: $$$10*(X/9)-1$$$ and $$$10*(X/9)$$$.
Thank you , I know this but the problem was given in Extended Euclid Volume. That's why i wanted to know that approach.