| # | 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 | 164 |
| 1 | maomao90 | 164 |
| 3 | Um_nik | 163 |
| 4 | atcoder_official | 160 |
| 4 | adamant | 160 |
| 6 | -is-this-fft- | 158 |
| 7 | awoo | 157 |
| 8 | TheScrasse | 154 |
| 8 | Dominater069 | 154 |
| 8 | nor | 154 |
A simple number theory problem
Hello everyone!
Today I was solving a problem and I reduced it to finding a maximum of a function. So in short what I need is the following:
, where M, a, b ≤ 109.
It's obvious that 
iff 
, but I cannot find an easy way to get the maximum if 
. I will appreciate any help on the problem.
PS: a, b and M are given as queries so I need an algorithm to answer up to 105 queries.
| Rev. | Lang. | By | When | Δ | Comment | |
|---|---|---|---|---|---|---|
| en4 |
|
radoslav11 | 2017-02-07 15:21:06 | 4 | ||
| en3 |
|
radoslav11 | 2017-02-07 15:20:16 | 2 | Tiny change: 'hat $\max f(x) = M - ' -> 'hat $\max g(x) = M - ' | |
| en2 |
|
radoslav11 | 2017-02-07 13:45:12 | 206 | ||
| en1 |
|
radoslav11 | 2017-02-07 12:57:42 | 528 | Initial revision (published) |
