diff options
| author | Andrew Guschin <guschin.drew@gmail.com> | 2022-12-29 15:20:32 +0400 |
|---|---|---|
| committer | Andrew Guschin <guschin.drew@gmail.com> | 2022-12-29 15:20:32 +0400 |
| commit | 0be2be0a92f992bf8ee9eff701cb19658a1e7544 (patch) | |
| tree | 5d855004fd8cc067a594475c0a666eb01f0ceefa /lab1 | |
| parent | 056f59346b727c9367998a423551eaba52854fce (diff) | |
Diffstat (limited to 'lab1')
| -rw-r--r-- | lab1/Cargo.lock | 58 | ||||
| -rw-r--r-- | lab1/Cargo.toml | 1 | ||||
| -rw-r--r-- | lab1/src/main.rs | 60 |
3 files changed, 58 insertions, 61 deletions
diff --git a/lab1/Cargo.lock b/lab1/Cargo.lock index 1281335..006d67e 100644 --- a/lab1/Cargo.lock +++ b/lab1/Cargo.lock @@ -3,63 +3,5 @@ version = 3 [[package]] -name = "az" -version = "1.2.1" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "7b7e4c2464d97fe331d41de9d5db0def0a96f4d823b8b32a2efd503578988973" - -[[package]] -name = "gmp-mpfr-sys" -version = "1.4.10" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "ea3f42dadb6c75f122e9aa87e757ef11d4282f664c9f2e6476a9c2c8970f9d19" -dependencies = [ - "libc", - "winapi", -] - -[[package]] name = "lab1" version = "0.1.0" -dependencies = [ - "rug", -] - -[[package]] -name = "libc" -version = "0.2.134" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "329c933548736bc49fd575ee68c89e8be4d260064184389a5b77517cddd99ffb" - -[[package]] -name = "rug" -version = "1.17.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "203180f444c95eac53586ed04793ecf6454c5d28f9eca8eead815fc19e136c47" -dependencies = [ - "az", - "gmp-mpfr-sys", - "libc", -] - -[[package]] -name = "winapi" -version = "0.3.9" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "5c839a674fcd7a98952e593242ea400abe93992746761e38641405d28b00f419" -dependencies = [ - "winapi-i686-pc-windows-gnu", - "winapi-x86_64-pc-windows-gnu", -] - -[[package]] -name = "winapi-i686-pc-windows-gnu" -version = "0.4.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "ac3b87c63620426dd9b991e5ce0329eff545bccbbb34f3be09ff6fb6ab51b7b6" - -[[package]] -name = "winapi-x86_64-pc-windows-gnu" -version = "0.4.0" -source = "registry+https://github.com/rust-lang/crates.io-index" -checksum = "712e227841d057c1ee1cd2fb22fa7e5a5461ae8e48fa2ca79ec42cfc1931183f" diff --git a/lab1/Cargo.toml b/lab1/Cargo.toml index 1370852..b71c28d 100644 --- a/lab1/Cargo.toml +++ b/lab1/Cargo.toml @@ -6,4 +6,3 @@ edition = "2021" # See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html [dependencies] -rug = "1.17" diff --git a/lab1/src/main.rs b/lab1/src/main.rs index e7a11a9..bae0284 100644 --- a/lab1/src/main.rs +++ b/lab1/src/main.rs @@ -1,3 +1,59 @@ -fn main() { - println!("Hello, world!"); +use std::io; +use std::io::Write; + +fn egcd(a: i64, b: i64) -> (i64, i64, i64) { + if a == 0 { + return (b, 0, 1); + } + let p = egcd(b % a, a); + let d = p.0; + let x1 = p.1; + let y1 = p.2; + let x = y1 - (b / a) * x1; + let y = x1; + return (d, x, y); +} + +fn main() -> io::Result<()> { + let stdin = io::stdin(); + + print!("Введите модуль m: "); + io::stdout().flush().unwrap(); + let mut m = String::new(); + stdin.read_line(&mut m)?; + let mut m = m.trim_end().parse::<i64>().unwrap(); + + print!("Введите a: "); + io::stdout().flush().unwrap(); + let mut a = String::new(); + stdin.read_line(&mut a)?; + let mut a = a.trim_end().parse::<i64>().unwrap() % m; + + print!("Введите b: "); + io::stdout().flush().unwrap(); + let mut b = String::new(); + stdin.read_line(&mut b)?; + let mut b = b.trim_end().parse::<i64>().unwrap() % m; + + let (d, _, _) = egcd(a, m); + if b % d != 0 { + println!("Сравнение не имеет решений"); + } else { + println!("Сравнение имеет {d} решений"); + a /= d; + b /= d; + m /= d; + + let (_, x, _) = egcd(a, m); + let mut x0 = (x * b) % m; + if x0 < 0 { + x0 = m + x0; + } + for i in 0..d { + print!("{} ", x0 + m * i); + } + println!(""); + } + + return Ok(()); } |