diff --git a/.github/workflows/auto.yaml b/.github/workflows/auto.yaml new file mode 100644 index 0000000..e156e95 --- /dev/null +++ b/.github/workflows/auto.yaml @@ -0,0 +1,106 @@ +name: QA (automatic) + +on: + pull_request: + branches: + - main + - staging + - develop + - release + - 'dev-*' + - 'bugfix-*' + - 'hotfix-*' + - 'feat-*' + - 'feature-*' + - 'story-*' + + paths: + - '**/*' + + # see + types: + - opened + - edited + - reopened + - ready_for_review + - unlocked + +permissions: + contents: read + +env: + PYTHON_VERSION: "3.13" + # ARCHITECTURE: "x86_64-unknown-linux-gnu" + ARCHITECTURE: "x86_64-unknown-linux-musl" + +jobs: + qa: + name: QA + runs-on: "ubuntu-latest" + environment: "local" + env: {} + + steps: + - uses: actions/checkout@v4.2.2 + + - name: Action - install justfile tool + uses: extractions/setup-just@v3 + with: + just-version: "1.25.2" + + - name: Action - install zig + uses: goto-bus-stop/setup-zig@v2.2.1 + with: + version: "0.12.0" + + # - name: Action - install rust + # uses: actions-rust-lang/setup-rust-toolchain@v1.12.0 + + - name: Action - install rust and set to stable + uses: actions-rs/toolchain@v1.0.6 + with: + toolchain: stable + override: true + + - name: Action - install Python + uses: actions/setup-python@v5.6.0 + with: + python-version: "${{ env.PYTHON_VERSION }}" + + - name: Setup - ping basic tools and perform pre-installation + shell: bash + run: |- + just --version + zig version + rustup --version + rustc --version + cargo --version + python3 --version + python3 -m pip install --upgrade pip wheel + + - name: STEP 1 - build code + shell: bash + run: |- + just setup + + touch .env && rm .env + echo " + MAIN_MODULE="code-challenges" + PYTHON_PATH="python${{ env.PYTHON_VERSION }}" + ARCHITECTURE="${{ env.ARCHITECTURE }}" + RUST_BACKTRACE=full + " > .env + + just build + + # NOTE: rustfmt is currenlty broken + - name: STEP 2 - check linting + if: false + shell: bash + run: |- + just prettify + + - name: STEP 3 - run unit tests + shell: bash + run: |- + just tests-unit diff --git a/.github/workflows/deploy.yaml b/.github/workflows/deploy.yaml new file mode 100644 index 0000000..8e2b75a --- /dev/null +++ b/.github/workflows/deploy.yaml @@ -0,0 +1,64 @@ +name: Deployment + +on: + workflow_dispatch: + inputs: + docker-image: + description: Choice of docker image on which to run action. + default: ubuntu-latest + type: choice + options: + - ubuntu-latest + + environment: + description: 'Choice of environment for pipeline' + # NOTE: this option provides dropdown list of choices of environments set on GitHub (enterprise only) + type: environment + required: true + +permissions: + contents: read + +env: + PYTHON_VERSION: "3.13" + # ARCHITECTURE: "x86_64-unknown-linux-gnu" + ARCHITECTURE: "x86_64-unknown-linux-musl" + +jobs: + deploy: + name: DEPLOY + runs-on: ${{ github.event.inputs.docker-image }} + environment: "${{ github.event.inputs.environment }}" + env: {} + + steps: + - uses: actions/checkout@v4.2.2 + + - name: Action - install justfile tool + uses: extractions/setup-just@v3 + with: + just-version: "1.25.2" + + - name: Action - install zig + uses: goto-bus-stop/setup-zig@v2.2.1 + with: + version: "0.12.0" + + # - name: Action - install rust + # uses: actions-rust-lang/setup-rust-toolchain@v1.12.0 + + - name: Action - install rust and set to stable + uses: actions-rs/toolchain@v1.0.6 + with: + toolchain: stable + override: true + + - name: Action - install Python + uses: actions/setup-python@v5.6.0 + with: + python-version: "${{ env.PYTHON_VERSION }}" + + - name: Message + shell: bash + run: |- + echo "Not yet implemented" diff --git a/.github/workflows/manual.yaml b/.github/workflows/manual.yaml new file mode 100644 index 0000000..b5ba444 --- /dev/null +++ b/.github/workflows/manual.yaml @@ -0,0 +1,119 @@ +name: QA [+ CD] (manual) + +on: + workflow_dispatch: + inputs: + docker-image: + description: Choice of docker image on which to run action. + default: ubuntu-latest + type: choice + options: + - ubuntu-latest + + deploy: + description: 'Deploy code?' + type: boolean + default: false + + environment: + description: 'Choice of environment for pipeline' + # NOTE: this option provides dropdown list of choices of environments set on GitHub (enterprise only) + type: environment + required: true + default: 'local' + +permissions: + contents: read + +env: + PYTHON_VERSION: "3.13" + # ARCHITECTURE: "x86_64-unknown-linux-gnu" + ARCHITECTURE: "x86_64-unknown-linux-musl" + +jobs: + qa: + name: QA + # runs-on: [self-hosted, "${{ github.event.inputs.os }}", x64, gpu] + runs-on: ${{ github.event.inputs.docker-image }} + environment: "${{ github.event.inputs.environment }}" + env: {} + + steps: + - uses: actions/checkout@v4.2.2 + + - name: Action - install justfile tool + uses: extractions/setup-just@v3 + with: + just-version: "1.25.2" + + - name: Action - install zig + uses: goto-bus-stop/setup-zig@v2.2.1 + with: + version: "0.12.0" + + # - name: Action - install rust + # uses: actions-rust-lang/setup-rust-toolchain@v1.12.0 + + - name: Action - install rust and set to stable + uses: actions-rs/toolchain@v1.0.6 + with: + toolchain: stable + override: true + + - name: Action - install Python + uses: actions/setup-python@v5.6.0 + with: + python-version: "${{ env.PYTHON_VERSION }}" + + - name: Setup - ping basic tools and perform pre-installation + shell: bash + run: |- + just --version + zig version + rustup --version + rustc --version + cargo --version + python3 --version + python3 -m pip install --upgrade pip wheel + + - name: STEP 1 - build code + shell: bash + run: |- + just setup + + touch .env && rm .env + echo " + MAIN_MODULE="code-challenges" + PYTHON_PATH="python${{ env.PYTHON_VERSION }}" + ARCHITECTURE="${{ env.ARCHITECTURE }}" + RUST_BACKTRACE=full + " > .env + + just build + + # NOTE: rustfmt is currenlty broken + - name: STEP 2 - check linting + if: false + shell: bash + run: |- + just prettify + + - name: STEP 3 - run unit tests + shell: 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"d9fb597c990f03753e08d3c29efbfcf2019a003b4bf4ba19225c158e1549f0f3" +dependencies = [ + "memchr", +] + +[[package]] +name = "winsafe" +version = "0.0.19" +source = "registry+https://github.com/rust-lang/crates.io-index" +checksum = "d135d17ab770252ad95e9a872d365cf3090e3be864a34ab46f48555993efc904" diff --git a/Cargo.toml b/Cargo.toml index ec2358d..d042c43 100644 --- a/Cargo.toml +++ b/Cargo.toml @@ -1,8 +1,8 @@ -cargo-features = ["profile-rustflags"] +# cargo-features = ["profile-rustflags"] [package] name = "code_challenges" -version = "0.0.0" +version = "0.1.0" edition = "2024" description = "Code for challenges from various platforms" rust-version = "1.86" @@ -27,39 +27,39 @@ members = [ # CXX = "zig c++" [profile.release] -rustflags = [ - "-A", "unused_imports", - "-A", "dead_code", - "-C", "link-arg=-undefined", - "-C", "link-arg=dynamic_lookup", -] +# rustflags = [ +# "-A", "unused_imports", +# "-A", "dead_code", +# "-C", "link-arg=-undefined", +# "-C", "link-arg=dynamic_lookup", +# ] debug = true strip = false [profile.dev] -rustflags = [ - "-A", "unused_imports", - "-A", "dead_code", -] +# rustflags = [ +# "-A", "unused_imports", +# "-A", "dead_code", +# ] [profile.test] -rustflags = [ - "-A", "unused_imports", - "-A", "dead_code", -] +# rustflags = [ +# "-A", "unused_imports", +# "-A", "dead_code", +# ] [dependencies] serde = {version = "^1.0.219", features = ["derive"]} serde_json = {version = "^1.0.140"} dict_derive = {version = "^0.6.0" } +dedent = {version="^0.1.1"} [dev-dependencies] cargo-zigbuild = {version = "^0.20.0"} rstest = {version = "^0.25.0"} -# FIXME: these require blake3, which fail to build on unix -# rustfmt = {version = "^0.10.0"} +# FIXME: currently fail to build on unix +# rustfmt = {version = "^0.10.0", features = []} # just = {version = "^1.40.0"} -# blake3 = {version = "^1.8.2", default-features = false} [[bin]] name = "code-challenges" diff --git a/README.md b/README.md index 5f937d5..ce8cc7e 100644 --- a/README.md +++ b/README.md @@ -15,6 +15,27 @@ We work here primarily with - [rust](https://www.rust-lang.org) incl. cargo - python@v3.11+ +> [!IMPORTANT] +> We rely on [Zig](https://ziglang.org) for cross-compilation, +> which avoids gcc-compiler issues on local machine and linux images, +> which in turn are required by the rust compiler. + +> [!TIP] +> To verify, open a bash terminal and call. +> +> ```bash +> just --version +> # rust +> rustup --version +> rustc --version +> cargo --version +> # python +> . .venv/bin/activate && python3 --version # for unix +> . .venv/Scripts/activate && python --version # for windows +> # zig +> zig version +> ``` + ## Setup ## Run diff --git a/justfile b/justfile index d9dc920..777a925 100644 --- a/justfile +++ b/justfile @@ -117,8 +117,10 @@ build-requirements: @just build-requirements-dependencies build-requirements-basic: - @# cargo update --verbose --offline - @# cargo install --locked cargo-zigbuild + @rustup default stable + @cargo update --verbose + @cargo install --locked --force cargo-zigbuild + @# cargo install --locked --force rustfmt @{{PYVENV_ON}} && {{PYVENV}} -m pip install --upgrade pip @{{PYVENV_ON}} && {{PYVENV}} -m pip install ruff uv @@ -139,10 +141,10 @@ build-compile module="${MAIN_MODULE}": # TARGETS: execution # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ -run-py module="main" *args: +run-py module="main" *args="": @{{PYVENV_ON}} && {{PYVENV}} src-py.{{module}} {{args}} -run-rust module="${MAIN_MODULE}" *args: +run-rust module="${MAIN_MODULE}" *args="": @just build-compile "{{module}}" @# "./target/release/{{module}}" {{args}} @cargo run --bin "{{module}}" @@ -269,11 +271,14 @@ watch-logs-all n="10": check-system: @echo "Operating System detected: {{os_family()}}" + @echo "Cargo command: $( cargo --version )" + @echo "Rustc command: $( rustc --version )" @echo "Python command used: ${PYTHON_PATH}" @echo "Python command for venv: {{PYVENV}}" @echo "Python path for venv: $( {{PYVENV_ON}} && which {{PYVENV}} )" + @echo "Cargo Zigbuild: $( cargo-zigbuild --version )" check-system-requirements: @just _check-tool "cargo" "cargo" - @just _check-tool "cargo fmt" "cargo fmt" + @# just _check-tool "cargo fmt" "cargo fmt" @just _check-tool "cargo-zigbuild" "cargo-zigbuild" diff --git a/pyproject.toml b/pyproject.toml index cced62c..9a5fb39 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,6 +1,6 @@ [project] name = 'code_challenges' -version = "0.0.0" +version = "0.1.0" description = 'Code for challenges from various platforms' authors = [ {name="raj-open", email="raj-open@users.noreply.github.com"}, diff --git a/src/_core/errors.rs b/src/_core/errors.rs index 3720675..8449f35 100644 --- a/src/_core/errors.rs +++ b/src/_core/errors.rs @@ -1,13 +1,13 @@ /// ---------------------------------------------------------------- /// IMPORTS /// ---------------------------------------------------------------- - use std::fmt::Debug; /// ---------------------------------------------------------------- /// METHODS /// ---------------------------------------------------------------- +#[allow(unused)] pub fn err_to_string(err: E) -> String where E: Debug, diff --git a/src/lib.rs b/src/lib.rs index eb46f78..5f8dab2 100644 --- a/src/lib.rs +++ b/src/lib.rs @@ -1,7 +1,6 @@ /// ---------------------------------------------------------------- /// IMPORTS /// ---------------------------------------------------------------- - pub mod _core; pub mod models; pub mod problems; diff --git a/src/main.rs b/src/main.rs index 7510e1c..1f306d2 100644 --- a/src/main.rs +++ b/src/main.rs @@ -1,7 +1,6 @@ /// ---------------------------------------------------------------- /// IMPORTS /// ---------------------------------------------------------------- - mod _core; /// ---------------------------------------------------------------- diff --git a/src/models/tree/mod.rs b/src/models/tree/mod.rs index 97fe793..be358fd 100644 --- a/src/models/tree/mod.rs +++ b/src/models/tree/mod.rs @@ -1,2 +1,5 @@ pub mod base; pub mod model; + +#[cfg(test)] +pub mod tests_model; diff --git a/src/models/tree/model.rs b/src/models/tree/model.rs index d58d8f0..ba0d397 100644 --- a/src/models/tree/model.rs +++ b/src/models/tree/model.rs @@ -1,7 +1,6 @@ /// ---------------------------------------------------------------- /// IMPORTS /// ---------------------------------------------------------------- - use std::vec; use super::base::GenericTree; diff --git a/src/models/tree/tests_model.rs b/src/models/tree/tests_model.rs new file mode 100644 index 0000000..59ca1b3 --- /dev/null +++ b/src/models/tree/tests_model.rs @@ -0,0 +1,130 @@ +// ---------------------------------------------------------------- +// IMPORTS +// ---------------------------------------------------------------- + +use dedent::dedent; + +use super::base::GenericTree; +use super::base::GenericTreeLike; +use super::base::GenericTreeOrRoot; + +// ---------------------------------------------------------------- +// TESTS +// ---------------------------------------------------------------- + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn test_case1() { + let t = GenericTree::new( + DummyNode { + name: Some("root".to_string()), + value: None, + }, + None, + ); + assert_eq!(t.to_string(), "root"); + } + + #[test] + fn test_case2() { + let mut t = GenericTree::new( + DummyNode { + name: Some("root".to_string()), + value: None, + }, + None, + ); + let child1 = DummyNode { + name: Some("alice".to_string()), + value: Some(23), + }; + let child2 = DummyNode { + name: Some("bob".to_string()), + value: Some(24), + }; + t.add(GenericTreeOrRoot::Root(child1)); + t.add(GenericTreeOrRoot::Root(child2)); + let expected = dedent!( + r#" + root + ├─── alice: 23 + ╰─── bob: 24 + "# + ) + .to_string(); + assert_eq!(t.to_string(), expected); + } + + #[test] + fn test_case3() { + let mut t = GenericTree::new( + DummyNode { + name: Some("root".to_string()), + value: None, + }, + None, + ); + let mut child1 = GenericTree::new( + DummyNode { + name: Some("alice".to_string()), + value: Some(23), + }, + None, + ); + let pet1a = DummyNode { + name: Some("bird".to_string()), + value: Some(2), + }; + let pet1b = DummyNode { + name: None, + value: Some(3), + }; + child1.add(GenericTreeOrRoot::Root(pet1a)); + child1.add(GenericTreeOrRoot::Root(pet1b)); + let child2 = DummyNode { + name: Some("bob".to_string()), + value: Some(24), + }; + t.add(GenericTreeOrRoot::Tree(child1)); + t.add(GenericTreeOrRoot::Root(child2)); + let expected = dedent!( + r#" + root + ├──╮ alice: 23 + │ ├─── bird: 2 + │ ╰─── _: 3 + ╰─── bob: 24 + "# + ) + .to_string(); + assert_eq!(t.to_string(), expected); + } +} + +// ---------------------------------------------------------------- +// AUXILIARY +// ---------------------------------------------------------------- + +#[derive(Clone)] +struct DummyNode { + name: Option, + value: Option, +} + +impl ToString for DummyNode { + fn to_string(&self) -> String { + match (&self.name, &self.value) { + (Some(name), Some(value)) => { + format!("{}: {}", name, value) + } + (Some(name), None) => name.clone(), + (None, Some(value)) => { + format!("_: {}", value) + } + (None, None) => "-".to_string(), + } + } +} diff --git a/src/problems/hackerrank/mathematics/main.rs b/src/problems/hackerrank/mathematics/main.rs index 7fde526..e9898a2 100644 --- a/src/problems/hackerrank/mathematics/main.rs +++ b/src/problems/hackerrank/mathematics/main.rs @@ -8,5 +8,4 @@ /// MAIN /// ---------------------------------------------------------------- -fn main() { -} +fn main() {} diff --git a/src/problems/hackerrank/mathematics/mod.rs b/src/problems/hackerrank/mathematics/mod.rs new file mode 100644 index 0000000..277f45b --- /dev/null +++ b/src/problems/hackerrank/mathematics/mod.rs @@ -0,0 +1,4 @@ +/// Contains solutions to challenges in the Mathematics +/// section of Hackerrank. +/// Source: . +pub mod scalar_products; diff --git a/src/problems/hackerrank/mathematics/scalar_products/approach1.rs b/src/problems/hackerrank/mathematics/scalar_products/approach1.rs new file mode 100644 index 0000000..2ac7b02 --- /dev/null +++ b/src/problems/hackerrank/mathematics/scalar_products/approach1.rs @@ -0,0 +1,164 @@ +use core::iter::IntoIterator; +use core::iter::Iterator; +/// # First approach # +/// +/// This approach is not mathematically optimised, +/// but rather designe do provid a more "rust native" approach. +/// +/// In paricular we rely on constructing iterables. + +/// ---------------------------------------------------------------- +/// IMPORTS +/// ---------------------------------------------------------------- +// use core::convert::TryFrom; +use std::collections::HashSet; +use std::fmt::Debug; +use std::io; +use std::io::BufRead; +use std::slice::Iter; +use std::str::FromStr; + +/// ---------------------------------------------------------------- +/// MAIN +/// ---------------------------------------------------------------- + +#[allow(unused)] +fn main() { + let line = read_input(); + + let args: Vec = line.split(" ").map(|x| x.to_string()).collect(); + let mut args: Iter<'_, String> = args.iter(); + + let c = parse::(args.next().unwrap()); + let m = parse::(args.next().unwrap()); + let n = parse::(args.next().unwrap()); + + let num_unique = run(c, m, n); + + println!("{:?}", num_unique); +} + +pub fn run(c: i32, m: i32, n: usize) -> usize { + let vecs = SeqPair::new(m, 0, c) + .into_iter() + .map(|s| (s.current, s.next)) + .skip(2) + .step_by(2) + .take(n); + + let mut values: HashSet = HashSet::new(); + + for (k, u) in vecs.enumerate() { + let vecs2 = SeqPair::new(m, u.0, u.1) + .into_iter() + .map(|s| (s.current, s.next)) + .skip(2) + .step_by(2) + .take(n - (k + 1)); + for v in vecs2 { + let ip = (u.0 * v.0 + u.1 * v.1).rem_euclid(m); + values.insert(ip); + } + } + let num_unique = values.len(); + + return num_unique; +} + +/// ---------------------------------------------------------------- +/// SECONDARY +/// ---------------------------------------------------------------- + +#[derive(Clone, Debug)] +struct SeqPair { + modulus: i32, + current: i32, + next: i32, +} + +trait EntityIterable { + fn next_entity(&mut self) -> &Self; +} + +#[derive(Clone, Debug)] +struct EntityIterator +where + T: Clone + Debug + EntityIterable, +{ + index: usize, + entity: T, +} + +impl SeqPair { + fn new(modulus: i32, x: i32, y: i32) -> Self { + Self { + modulus, + current: x, + next: y, + } + } +} + +impl ToString for SeqPair { + fn to_string(&self) -> String { + format!("({}, {})", self.current, self.next) + } +} + +impl EntityIterable for SeqPair { + fn next_entity(&mut self) -> &Self { + let x = self.current; + let y = self.next; + self.current = y; + self.next = (x + y).rem_euclid(self.modulus); + return self; + } +} + +impl Iterator for EntityIterator +where + T: Clone + Debug + EntityIterable, +{ + type Item = T; + + fn next(&mut self) -> Option { + self.index += 1; + if self.index > 1 { + self.entity.next_entity(); + } + return Some(self.entity.clone()); + } +} + +impl IntoIterator for SeqPair { + type Item = SeqPair; + type IntoIter = EntityIterator; + + fn into_iter(self) -> EntityIterator { + EntityIterator { + index: 0, + entity: self.clone(), + } + } +} + +/// ---------------------------------------------------------------- +/// AUXILIARY +/// ---------------------------------------------------------------- + +#[allow(unused)] +fn read_input() -> String { + let stdin = io::stdin(); + let mut input = stdin.lock().lines(); + let line = input.next().unwrap().unwrap().trim().to_string(); + return line; +} + +#[allow(unused)] +fn parse(text: &String) -> T +where + T: FromStr, + ::Err: Debug, +{ + return text.parse::().unwrap(); +} diff --git a/src/problems/hackerrank/mathematics/scalar_products/approach2.rs b/src/problems/hackerrank/mathematics/scalar_products/approach2.rs new file mode 100644 index 0000000..4a2a947 --- /dev/null +++ b/src/problems/hackerrank/mathematics/scalar_products/approach2.rs @@ -0,0 +1,316 @@ +/// # Second approach # +/// +/// This approach mathematically optimised. +/// We rely on the following observation, +/// that the series is generated via Fibonacci matrices: +/// +/// ``` +/// F = [[0, 1], [1, 1]] +/// G := F ^ 2 +/// v_0 := [0, C] +/// v_n = (F^2)^n v_0 = G^n v_0 +/// ``` +/// +/// Noting that `F` and thereby `G` are symmetric, +/// the inner products can be computed via +/// +/// ``` +/// < v_i, v_j > +/// = < G^i v_0, G^j v_0 > +/// = < (G^i)^* G^j v_0, v_0 > +/// = < (G^i) G^j v_0, v_0 > +/// = < G^{i+j} v_0, v_0 > +/// ``` +/// +/// So we only neeed to compute powers of `G`. +/// But what powers? +/// We have to iterate over all +/// `i`, `j` with `1 <= i < j <= n`. +/// Simple mathematics yields +/// +/// ``` +/// Set {i + j for 1 <= i < j <= n} = [3, 2n-1] +/// ``` +/// +/// i.e. `[3:2n]` in computer-science notation. +/// +/// We compute the powers `G^k` +/// for `k in [3:2n]` via +/// products of powers of the form `G^(2^l)`, +/// relying on the binary representation of each `k`. +/// We thereby only need to compute `floor(log2(2n)) = O(log(n))` powers, +/// and the products of such powers are themselves `O(log(n))` +/// and we do this for `O(n)` entries. +/// So in total, the time complexity is +/// +/// ``` +/// O(n log(n)^2). +/// ``` + +/// ---------------------------------------------------------------- +/// IMPORTS +/// ---------------------------------------------------------------- +use std::collections::HashSet; +use std::fmt::Debug; +use std::fmt::Display; +use std::io; +use std::io::BufRead; +use std::ops::Add; +use std::ops::Mul; +use std::ops::Rem; +use std::slice::Iter; +use std::str::FromStr; + +/// ---------------------------------------------------------------- +/// MAIN +/// ---------------------------------------------------------------- + +#[allow(unused)] +fn main() { + let line = read_input(); + + let args: Vec = line.split(" ").map(|x| x.to_string()).collect(); + let mut args: Iter<'_, String> = args.iter(); + + let c = parse::(args.next().unwrap()); + let m = parse::(args.next().unwrap()); + let n = parse::(args.next().unwrap()); + + let num_unique = run(c, m, n); + + println!("{:?}", num_unique); +} + +pub fn run(c: i32, m: i32, n: usize) -> usize { + // sequence generated by symmetric matrix + let zero: Modulo = Modulo::new(0, m as i64); + let one: Modulo = Modulo::new(1, m as i64); + let matrix_f: SymmMatrix2x2> = SymmMatrix2x2 { + a: zero, + b: one, + d: one, + }; + + /* ---- * + * The n-the entry of the sequence + * is given by + * ---- */ + + // e is the smalles integer with 2^e >= (2*n) + let e = (2.0 * (n as f32)).log2().ceil() as i64; + + // compute G[k] = G^(2^k): + let mut matrix_g = matrix_f.pow2(); + let mut matrices_g = vec![matrix_g.clone()]; + for _ in 1..e { + matrix_g = matrix_g.pow2(); + matrices_g.push(matrix_g.clone()); + } + + // compute all powers of G: + let v0 = Vector2([zero, Modulo::new(c as i64, m as i64)]); + let mut values: HashSet = HashSet::new(); + for k in 3..(2 * n) { + // compute v := G^k * v_0 using divide and conquer + let k_base2 = format!("{:b}", k); + let places = k_base2 + .chars() + .rev() + .enumerate() + .filter(|(_, d)| *d == '1') + .map(|(k, _)| k); + let mut v = v0.clone(); + for j in places { + v = matrices_g.get(j).unwrap().mul_vector(&v); + } + // now compute < G^i v_0, G^j v_0 > = < G^k v_0, v_0 > = < v, v_0 > + let value = Vector2::inner_product(&v, &v0).value; + values.insert(value); + } + + let num_unique = values.len(); + return num_unique; +} + +/// ---------------------------------------------------------------- +/// SECONDARY +/// ---------------------------------------------------------------- + +#[derive(Clone, Copy, PartialEq, Eq)] +struct Modulo +where + T: Display + Clone + Copy + PartialEq + Eq, +{ + value: T, + modulus: T, +} + +#[derive(Clone, Debug)] +struct Vector2([T; 2]); + +#[derive(Clone, Debug)] +struct SymmMatrix2x2 { + a: T, + b: T, + d: T, +} + +impl Modulo +where + T: Display + Clone + Copy + PartialEq + Eq, +{ + fn new(value: T, modulus: T) -> Self { + Self { value, modulus } + } +} + +impl Display for Modulo +where + T: Display + Clone + Copy + PartialEq + Eq, +{ + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + write!(f, "{} (mod {})", self.value, self.modulus) + } +} + +impl Debug for Modulo +where + T: Display + Clone + Copy + PartialEq + Eq, +{ + fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result { + write!(f, "{}", self) + } +} + +impl Add for Modulo +where + T: Display + + Clone + + Copy + + PartialEq + + Eq + + Add + + Add + + Rem, +{ + type Output = Self; + + fn add(self, other: Self) -> Self::Output { + let modulus = self.modulus; + Self { + value: (self.value + other.value) % modulus, + modulus, + } + } +} + +impl Mul for Modulo +where + T: Display + + Clone + + Copy + + PartialEq + + Eq + + Mul + + Add + + Rem, +{ + type Output = Self; + + fn mul(self, other: Self) -> Self::Output { + let modulus = self.modulus; + Self { + value: (self.value * other.value) % modulus, + modulus, + } + } +} + +impl Add for SymmMatrix2x2 +where + T: Copy + Add, +{ + type Output = Self; + + fn add(self, other: Self) -> Self::Output { + Self { + a: self.a + other.a, + b: self.b + other.b, + d: self.d + other.d, + } + } +} + +// impl Mul for SymmMatrix2x2 +// where +// T: Copy + Mul + Add, +// { +// type Output = Self; + +// fn mul(self, other: Self) -> Self::Output { +// Self { +// a: self.a * other.a + self.b * other.b, +// b: self.a * other.b + self.b * other.d, +// d: self.b * other.b + self.d * other.d, +// } +// } +// } + +impl Vector2 +where + T: Copy, +{ + fn get(&self, index: usize) -> T { + self.0[index] + } +} + +impl Vector2 +where + T: Copy + Mul + Add, +{ + fn inner_product(u: &Self, v: &Self) -> T { + u.get(0) * v.get(0) + u.get(1) * v.get(1) + } +} + +impl SymmMatrix2x2 +where + T: Copy + Mul + Add, +{ + fn pow2(self) -> Self { + Self { + a: self.a * self.a + self.b * self.b, + b: (self.a + self.d) * self.b, + d: self.b * self.b + self.d * self.d, + } + } + + fn mul_vector(&self, u: &Vector2) -> Vector2 { + Vector2([ + (self.a * u.get(0) + self.b * u.get(1)), + (self.b * u.get(0) + self.d * u.get(1)), + ]) + } +} + +/// ---------------------------------------------------------------- +/// AUXILIARY +/// ---------------------------------------------------------------- + +#[allow(unused)] +fn read_input() -> String { + let stdin = io::stdin(); + let mut input = stdin.lock().lines(); + let line = input.next().unwrap().unwrap().trim().to_string(); + return line; +} + +#[allow(unused)] +fn parse(text: &String) -> T +where + T: FromStr, + ::Err: Debug, +{ + return text.parse::().unwrap(); +} diff --git a/src/problems/hackerrank/mathematics/scalar_products/mod.rs b/src/problems/hackerrank/mathematics/scalar_products/mod.rs new file mode 100644 index 0000000..4020928 --- /dev/null +++ b/src/problems/hackerrank/mathematics/scalar_products/mod.rs @@ -0,0 +1,10 @@ +/// Solutions to the Hackerrank Mathematics challenge: +/// . +pub mod approach1; +pub mod approach2; + +#[cfg(test)] +pub mod tests_approach1; + +#[cfg(test)] +pub mod tests_approach2; diff --git a/src/problems/hackerrank/mathematics/scalar_products/tests_approach1.rs b/src/problems/hackerrank/mathematics/scalar_products/tests_approach1.rs new file mode 100644 index 0000000..7a1fb0a --- /dev/null +++ b/src/problems/hackerrank/mathematics/scalar_products/tests_approach1.rs @@ -0,0 +1,25 @@ +/// ---------------------------------------------------------------- +/// IMPORTS +/// ---------------------------------------------------------------- +use crate::problems::hackerrank::mathematics::scalar_products::approach1 as approach; + +/// ---------------------------------------------------------------- +/// TESTS +/// ---------------------------------------------------------------- + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn test_case1() { + let result = approach::run(4, 5, 3); + assert_eq!(result, 2); + } + + #[test] + fn test_case2() { + let result = approach::run(1, 100, 1000); + assert_eq!(result, 50); + } +} diff --git a/src/problems/hackerrank/mathematics/scalar_products/tests_approach2.rs b/src/problems/hackerrank/mathematics/scalar_products/tests_approach2.rs new file mode 100644 index 0000000..9494312 --- /dev/null +++ b/src/problems/hackerrank/mathematics/scalar_products/tests_approach2.rs @@ -0,0 +1,32 @@ +/// ---------------------------------------------------------------- +/// IMPORTS +/// ---------------------------------------------------------------- +use super::approach2 as approach; + +/// ---------------------------------------------------------------- +/// TESTS +/// ---------------------------------------------------------------- + +#[cfg(test)] +mod tests { + use super::*; + + #[test] + fn test_case1() { + let result = approach::run(4, 5, 3); + assert_eq!(result, 2); + } + + #[test] + fn test_case2() { + let result = approach::run(1, 100, 1000); + assert_eq!(result, 50); + } + + #[test] + // #[ignore] + fn test_case_heavy_1() { + let result = approach::run(991, 11495481, 112259); + assert_eq!(result, 224515); + } +} diff --git a/src/problems/hackerrank/mod.rs b/src/problems/hackerrank/mod.rs index 72ddafb..d859f52 100644 --- a/src/problems/hackerrank/mod.rs +++ b/src/problems/hackerrank/mod.rs @@ -1,4 +1,3 @@ /// Contains solutions to Hackerrank challenges. /// Source: . - pub mod mathematics; diff --git a/src/problems/mod.rs b/src/problems/mod.rs index 0c9dd60..952515c 100644 --- a/src/problems/mod.rs +++ b/src/problems/mod.rs @@ -1,3 +1,2 @@ /// Contains solutions to challenges on different platforms. - pub mod hackerrank; diff --git a/tests/lib.rs b/tests/lib.rs index e570ae1..ea13f49 100644 --- a/tests/lib.rs +++ b/tests/lib.rs @@ -1,4 +1,4 @@ -extern crate rstest; extern crate code_challenges; +extern crate rstest; 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