From 9640f8c1708323916004869af25c1fe1d56eb7d0 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 15:24:15 -0700 Subject: [PATCH 01/60] convert to python --- .editorconfig | 3 + .gitignore | 12 +- .prettierignore | 18 - eslint.config.mjs | 150 -- package-lock.json | 5589 ------------------------------------------- package.json | 51 - poetry.lock | 349 +++ prettier.config.mjs | 16 - pyproject.toml | 43 + scripts.py | 25 + tsconfig.json | 19 - 11 files changed, 428 insertions(+), 5847 deletions(-) delete mode 100644 .prettierignore delete mode 100644 eslint.config.mjs delete mode 100644 package-lock.json delete mode 100644 package.json create mode 100644 poetry.lock delete mode 100644 prettier.config.mjs create mode 100644 pyproject.toml create mode 100644 scripts.py delete mode 100644 tsconfig.json diff --git a/.editorconfig b/.editorconfig index 0f178672..d84c6741 100644 --- a/.editorconfig +++ b/.editorconfig @@ -7,3 +7,6 @@ indent_size = 2 indent_style = space insert_final_newline = true trim_trailing_whitespace = true + +[*.py] +indent_size = 4 \ No newline at end of file diff --git a/.gitignore b/.gitignore index a73f32ec..759ea1bc 100644 --- a/.gitignore +++ b/.gitignore @@ -1,7 +1,11 @@ +__pycache__/ +.env/ +.mypy_cache/ +.venv/ +.vscode/ build/ -coverage/ dist/ -node_modules/ -*.tgz -.env +*.egg-info/ +*.pyc +*.pyo \ No newline at end of file diff --git a/.prettierignore b/.prettierignore deleted file mode 100644 index 480be400..00000000 --- a/.prettierignore +++ /dev/null @@ -1,18 +0,0 @@ -build/ -coverage/ -dist/ -node_modules/ - -# Ignore all the dotfiles in the repository root. -*.* - -# Ignore specific file patterns in the repository. -*.snap -LICENSE - -# Unless they are a certain file type or explicitly included. -package.json -tsconfig.json -!*.js -!*.mjs -!*.ts diff --git a/eslint.config.mjs b/eslint.config.mjs deleted file mode 100644 index af6470de..00000000 --- a/eslint.config.mjs +++ /dev/null @@ -1,150 +0,0 @@ -import eslint from '@eslint/js'; -import tselint from 'typescript-eslint'; -import uimports from 'eslint-plugin-unused-imports'; - -export default tselint.config({ - extends: [eslint.configs.recommended, tselint.configs.recommended], - files: ['**/*.ts'], - languageOptions: { - parserOptions: { - project: './tsconfig.json', - tsconfigRootDir: import.meta.dirname, - ecmaVersion: 2020, - sourceType: 'module' - } - }, - plugins: { - 'unused-imports': uimports - }, - rules: { - '@typescript-eslint/explicit-function-return-type': 'off', - '@typescript-eslint/explicit-module-boundary-types': 'off', - // Permits the violation of naming conventions for unused variables with a leading underscore. - // - // See https://typescript-eslint.io/rules/naming-convention/ - '@typescript-eslint/naming-convention': [ - 'error', - { - selector: 'variable', - format: ['camelCase', 'PascalCase', 'snake_case'], - leadingUnderscore: 'allow', - modifiers: ['unused'] - }, - { - selector: 'parameter', - format: ['camelCase', 'PascalCase', 'snake_case'], - leadingUnderscore: 'allow' - } - ], - // Enabled because one should not assign the result of a void function. - // - // See https://typescript-eslint.io/rules/no-confusing-void-expression/ - '@typescript-eslint/no-confusing-void-expression': 'error', - '@typescript-eslint/no-meaningless-void-operator': 'error', - '@typescript-eslint/no-unused-expressions': 'error', - '@typescript-eslint/no-unused-vars': 'off', - '@typescript-eslint/no-useless-constructor': 'error', - '@typescript-eslint/no-use-before-define': 'off', - '@typescript-eslint/no-var-requires': 'off', - // Disabled because there's no reason to enable this except to be pedantic. Code organization desires may dictate - // that methods not using this should still be methods. For example, there are situations where it's desirable to - // define only instance methods for ease of use, or you would prefer that the caller not have to know or care that - // a method actually uses instance variables or not. - // - // In other situations, nothing is stopping you from declaring a function outside of a class, which is functionally - // the same as a static method. - // - // See https://eslint.org/docs/latest/rules/class-methods-use-this - 'class-methods-use-this': 'off', - // Disabled because this rule cannot detect if a dependency is only for development. For example, if you have a - // postbuild.js and you include it in tsconfig.json, then this plugin will incorrectly assume that any packages - // required there should be in dependencies. - // - // In that situation, postbuild.js is included in tsconfig.json so that JavaScript files (even ones not included - // in the final build) should be linted according to @typescript-eslint. - // - // See https://stackoverflow.com/questions/61956555/why-is-typescript-eslint-parser-including-files-outside-of-those-configured-in - // See https://www.typescriptlang.org/tsconfig#include - 'import/no-extraneous-dependencies': 'off', - // Disabled because named exports are more explicit. - // - // See https://github.com/airbnb/javascript/issues/1365 - // See https://blog.neufund.org/why-we-have-banned-default-exports-and-you-should-do-the-same-d51fdc2cf2ad - 'import/prefer-default-export': 'off', - 'jest/no-disabled-tests': 'off', - 'max-classes-per-file': 'off', - // Disabled because continue ESLint specifically is concerned about continue being used with labels. Using this - // with labels is akin to a goto statement, which makes code hard to reason about. Proper use of the continue - // statement makes code easier to read. - // - // The ESLint recommendations around avoiding continue involve using if statements, which do actively degrade code - // readability. ESLint, for whatever reason, recommends this even when labels are not required. Good readability, - // in contrast, would call for using continue statements with guard clauses. - // - // See https://eslint.org/docs/latest/rules/no-continue - // See https://refactoring.com/catalog/replaceNestedConditionalWithGuardClauses.html - 'no-continue': 'off', - // Disabled because prettier can fix this. - 'no-irregular-whitespace': 'off', - // Disabled because it is handled by @typescript-eslint rules. - 'no-shadow': 'off', - // Disabled for convenience. Enable again if this ends up hurting the project. - // - // See https://eslint.org/docs/latest/rules/no-plusplus - 'no-plusplus': 'off', - 'no-restricted-syntax': [ - 'error', - { - selector: 'ForInStatement', - message: 'for..in loops iterate over the prototype chain, which is virtually never what you want' - }, - { - selector: 'LabeledStatement', - message: 'labels are a form of goto; using them makes code confusing and hard to maintain' - }, - { - selector: 'WithStatement', - message: 'with is disallowed in strict mode because it makes code impossible to predict and optimize' - } - ], - // Disabled because we do want to have underscore prefixed identifiers to indicate a variable is ignored. - // - // See https://eslint.org/docs/latest/rules/no-underscore-dangle - 'no-underscore-dangle': 'off', - 'no-unused-expressions': 'off', - 'no-unused-vars': 'off', - 'no-use-before-define': 'off', - 'no-useless-constructor': 'off', - // Disabled because `let [a] = arr;` or `[a] = arr` is just silly sometimes. - // - // See https://eslint.org/docs/latest/rules/prefer-destructuring - 'prefer-destructuring': [ - 'error', - { - object: false, - array: false - } - ], - 'unused-imports/no-unused-imports': 'error', - 'unused-imports/no-unused-vars': [ - 'warn', - { - args: 'all', - argsIgnorePattern: '^_', - caughtErrorsIgnorePattern: '^_', - vars: 'all', - varsIgnorePattern: '^_' - } - ], - // Enabled because it is useful for some problems. ESLint disables this by default because it assumes that a single - // & or | is a mistyped && or ||. - // - // See https://eslint.org/docs/latest/rules/no-bitwise - 'no-bitwise': 'off', - // Disabled because some solutions can be implemented more naturally with a while (true) loop. - 'no-constant-condition': 'off', - // Disabled because some solutions run more optimally if you do mutate the inputs. This will trigger even if you - // reassign a field in an object, which makes it more convenient if turned off. - 'no-param-reassign': 'off' - } -}); diff --git a/package-lock.json b/package-lock.json deleted file mode 100644 index 0ec8e57a..00000000 --- a/package-lock.json +++ /dev/null @@ -1,5589 +0,0 @@ -{ - "name": "@retiman/project-euler", - "version": "2.0.0", - "lockfileVersion": 3, - "requires": true, - "packages": { - "": { - "name": "@retiman/project-euler", - "version": "2.0.0", - "license": "CC0-1.0", - "dependencies": { - "@datastructures-js/priority-queue": "6.3.1", - "lodash": "^4.17.21" - }, - "devDependencies": { - "@eslint/js": "^9.17.0", - "@tsconfig/recommended": "^1.0.8", - "@types/jest": "^29.5.14", - "@types/lodash": "^4.17.13", - "@types/node": "^22.10.2", - "editorconfig": "^2.0.0", - "eslint": "^9.17.0", - "eslint-plugin-unused-imports": "^4.1.4", - "fs-extra": "^11.2.0", - "jest": "^29.7.0", - "prettier": "^3.4.2", - "ts-jest": "^29.2.5", - "ts-node": "^10.9.2", - 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+content-hash = "bc8b700268d3ea6269eb75076c073dc104fe50d562ad155f36d18018842f6aa7" diff --git a/prettier.config.mjs b/prettier.config.mjs deleted file mode 100644 index 1cf80c1f..00000000 --- a/prettier.config.mjs +++ /dev/null @@ -1,16 +0,0 @@ -export default { - arrowParens: 'avoid', - bracketSameLine: true, - bracketSpacing: true, - endOfLine: 'lf', - printWidth: 120, - proseWrap: 'never', - quoteProps: 'as-needed', - semi: true, - singleQuote: true, - tabWidth: 2, - // Prettier and ESLint will fight over trailing commas. The latter has more options for configuring trailing commas, - // so disable here and let ESLint do all the work. - trailingComma: 'none', - useTabs: false -}; diff --git a/pyproject.toml b/pyproject.toml new file mode 100644 index 00000000..c864f373 --- /dev/null +++ b/pyproject.toml @@ -0,0 +1,43 @@ +[tool.poetry] +name = "project_euler" +version = "0.1.0" +description = "Problems and solutions for Project Euler" +authors = ["Min Huang "] +license = "MIT" +readme = "README.md" + +[tool.poetry.scripts] +all = "scripts:run_all" +format = "scripts:run_format" +lint = "scripts:run_lint" +test = "scripts:run_tests" + +[tool.poetry.dependencies] +python = "^3.13" + +[tool.poetry.group.dev.dependencies] +black = "^25.1.0" +isort = "^6.0.1" +pyright = "^1.1.397" +pytest = "^8.3.4" +ruff = "^0.9.10" +snapshottest = "^1.0.0a0" + +[tool.black] +exclude = "snapshots/" +line-length = 120 + +[tool.isort] +profile = "black" +skip = ["snapshots"] +force_sort_within_sections = true +lines_between_sections = 0 +lines_after_imports = 2 + +[tool.ruff] +exclude = ["snapshots"] +line-length = 120 + +[build-system] +requires = ["poetry-core"] +build-backend = "poetry.core.masonry.api" diff --git a/scripts.py b/scripts.py new file mode 100644 index 00000000..cbf56516 --- /dev/null +++ b/scripts.py @@ -0,0 +1,25 @@ +import subprocess + + +def run_cmd(cmd): + subprocess.run(cmd, shell=True, check=True) + + +def run_all(): + run_format() + run_lint() + run_tests() + + +def run_lint(): + run_cmd("poetry run ruff check --fix project_euler") + run_cmd("poetry run pyright project_euler") + + +def run_format(): + run_cmd("poetry run black project_euler") + run_cmd("poetry run isort project_euler") + + +def run_tests(): + run_cmd("poetry run pytest project_euler") diff --git a/tsconfig.json b/tsconfig.json deleted file mode 100644 index 2f75948a..00000000 --- a/tsconfig.json +++ /dev/null @@ -1,19 +0,0 @@ -{ - // See https://github.com/tsconfig/bases/blob/main/bases/recommended.json - "extends": "@tsconfig/recommended/tsconfig.json", - "compilerOptions": { - "declaration": true, - "declarationMap": true, - "esModuleInterop": true, - "module": "ESNext", - "moduleResolution": "node", - "outDir": "./build", - "sourceMap": true, - "strict": true, - "target": "ES2024", - "typeRoots": ["node_modules/@types"], - "types": ["jest", "node"] - }, - "include": ["script", "src", "test"], - "exclude": ["build", "dist", "node_modules"] -} From 22217afd66edae2bdf87f6ff9b4115606930c826 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 15:33:36 -0700 Subject: [PATCH 02/60] temp commit --- Makefile | 2 +- poetry.lock | 97 +----------------------------------- pyproject.toml | 4 -- script/clean.mjs | 4 -- script/primes.mjs | 30 ----------- src/__init__.py | 0 src/project_euler/1.py | 10 ++++ test/project_euler/1_test.py | 4 ++ 8 files changed, 16 insertions(+), 135 deletions(-) delete mode 100644 script/clean.mjs delete mode 100644 script/primes.mjs create mode 100644 src/__init__.py create mode 100644 src/project_euler/1.py create mode 100644 test/project_euler/1_test.py diff --git a/Makefile b/Makefile index ba988109..cd10acd3 100644 --- a/Makefile +++ b/Makefile @@ -1,4 +1,4 @@ .PHONY: % %: - npm run test -- -t="problem $@" + poetry run pytest project_euler/$@.py diff --git a/poetry.lock b/poetry.lock index 0964ea1d..955aa99e 100644 --- a/poetry.lock +++ b/poetry.lock @@ -69,21 +69,6 @@ files = [ {file = "colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44"}, ] -[[package]] -name = "fastdiff" -version = "0.3.0" -description = "A fast native implementation of diff algorithm with a pure python fallback" -optional = false -python-versions = "*" -files = [ - {file = "fastdiff-0.3.0-py2.py3-none-any.whl", hash = "sha256:ca5f61f6ddf5a1564ddfd98132ad28e7abe4a88a638a8b014a2214f71e5918ec"}, - {file = "fastdiff-0.3.0.tar.gz", hash = "sha256:4dfa09c47832a8c040acda3f1f55fc0ab4d666f0e14e6951e6da78d59acd945a"}, -] - -[package.dependencies] -wasmer = ">=1.0.0" -wasmer-compiler-cranelift = ">=1.0.0" - [[package]] name = "iniconfig" version = "2.1.0" @@ -252,40 +237,6 @@ files = [ {file = "ruff-0.9.10.tar.gz", hash = "sha256:9bacb735d7bada9cfb0f2c227d3658fc443d90a727b47f206fb33f52f3c0eac7"}, ] -[[package]] -name = "snapshottest" -version = "1.0.0a1" -description = "Snapshot testing for pytest, unittest, Django, and Nose" -optional = false -python-versions = "*" -files = [ - 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[metadata] lock-version = "2.0" python-versions = "^3.13" -content-hash = "bc8b700268d3ea6269eb75076c073dc104fe50d562ad155f36d18018842f6aa7" +content-hash = "002e905bac2e9ccabf17a9fb87c177e9451eef934dcaf229cbfefc4b8ee04f92" diff --git a/pyproject.toml b/pyproject.toml index c864f373..3e0046d6 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -21,21 +21,17 @@ isort = "^6.0.1" pyright = "^1.1.397" pytest = "^8.3.4" ruff = "^0.9.10" -snapshottest = "^1.0.0a0" [tool.black] -exclude = "snapshots/" line-length = 120 [tool.isort] profile = "black" -skip = ["snapshots"] force_sort_within_sections = true lines_between_sections = 0 lines_after_imports = 2 [tool.ruff] -exclude = ["snapshots"] line-length = 120 [build-system] diff --git a/script/clean.mjs b/script/clean.mjs deleted file mode 100644 index 984b1c90..00000000 --- a/script/clean.mjs +++ /dev/null @@ -1,4 +0,0 @@ -import fse from 'fs-extra'; - -fse.emptyDirSync('build'); -fse.emptyDirSync('dist'); diff --git a/script/primes.mjs b/script/primes.mjs deleted file mode 100644 index b3169462..00000000 --- a/script/primes.mjs +++ /dev/null @@ -1,30 +0,0 @@ -import fs from 'fs'; -import path from 'path'; -import process from 'process'; - -// Implements of the Sieve of Eratosthenes algorithm up to a given limit. -// -// @remarks -// Writes the primes to a file for use in other problems. -// -// See {@link https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes}. -function sieve(n) { - const primes = new Array(n + 1).fill(true); - primes[0] = primes[1] = false; - - for (let i = 2; i * i <= n; i++) { - if (primes[i]) { - for (let j = i * i; j <= n; j += i) { - primes[j] = false; - } - } - } - - return primes.map((isPrime, i) => (isPrime ? i : -1)).filter(i => i !== -1); -} - -const limit = Number.parseInt(process.argv[2], 10 /* radix */); -const output = path.join('data', 'primes.txt'); -const primes = sieve(limit); - -fs.writeFileSync(output, primes.join('\n')); diff --git a/src/__init__.py b/src/__init__.py new file mode 100644 index 00000000..e69de29b diff --git a/src/project_euler/1.py b/src/project_euler/1.py new file mode 100644 index 00000000..5cdf9815 --- /dev/null +++ b/src/project_euler/1.py @@ -0,0 +1,10 @@ +# Problem 1: Multiple of 3 and 5. +# +# Computes the sum of all the multiples of 3 or 5 below the given limit. +# +# See https://projecteuler.net/problem=1 +def run(limit: int) -> int: + return sum([n for n in range(limit) if n % 3 == 0 or n % 5 == 0]) + + +assert run(1000) == 233168 diff --git a/test/project_euler/1_test.py b/test/project_euler/1_test.py new file mode 100644 index 00000000..d503587c --- /dev/null +++ b/test/project_euler/1_test.py @@ -0,0 +1,4 @@ +from project_euler.problem_1 import run + +def test(): + assert run(1000) == 233168 \ No newline at end of file From 00ef47b0c344fcf1d5111288056ad253f9a1d7a6 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 17:57:43 -0700 Subject: [PATCH 03/60] build using poetry --- .github/workflows/build-and-test.yml | 31 ++++++++++++++++++++-------- 1 file changed, 22 insertions(+), 9 deletions(-) diff --git a/.github/workflows/build-and-test.yml b/.github/workflows/build-and-test.yml index 30ee9811..5db4a5d1 100644 --- a/.github/workflows/build-and-test.yml +++ b/.github/workflows/build-and-test.yml @@ -3,6 +3,7 @@ name: Build and Test on: pull_request: paths-ignore: + - CODEOWNERS - LICENSE - README.md push: @@ -27,19 +28,31 @@ jobs: ref: ${{ github.head_ref }} token: ${{ steps.generate-token.outputs.token }} - - name: Setup NodeJS - uses: actions/setup-node@v3 + - name: Setup Python + uses: actions/setup-python@v5 with: - node-version: 20 + python-version: '3.13' + + - name: Install poetry + run: python -m pip install poetry==2.1.1 + + - name: Configure poetry + run: poetry config virtualenvs.in-project true + + - name: Cache the virtualenv + uses: actions/cache@v4 + with: + path: ./.venv + key: ${{ runner.os }}-venv-${{ hashFiles('**/poetry.lock') }} - name: Install dependencies - run: npm ci + run: poetry install - - name: Fix - run: npm run fix + - name: Run format + run: poetry run format - - name: Build - run: npm run build + - name: Run lint + run: poetry run lint - name: Commit if: ${{ github.ref != 'refs/heads/main' }} @@ -52,4 +65,4 @@ jobs: - name: Test if: ${{ steps.commit.outputs.committed == 'false' }} - run: npm run test + run: poetry run test \ No newline at end of file From 9a0dd56e51979cebf2f562f05dce5f6d2b1f433d Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 18:03:53 -0700 Subject: [PATCH 04/60] runs 1.py with make --- Makefile | 2 +- pyproject.toml | 3 +++ {src/project_euler => solns}/1.py | 3 ++- {src => solns}/__init__.py | 0 src/1.ts | 10 ---------- test/1.test.ts | 7 ------- test/project_euler/1_test.py | 4 ---- 7 files changed, 6 insertions(+), 23 deletions(-) rename {src/project_euler => solns}/1.py (84%) rename {src => solns}/__init__.py (100%) delete mode 100644 src/1.ts delete mode 100644 test/1.test.ts delete mode 100644 test/project_euler/1_test.py diff --git a/Makefile b/Makefile index cd10acd3..57e5e476 100644 --- a/Makefile +++ b/Makefile @@ -1,4 +1,4 @@ .PHONY: % %: - poetry run pytest project_euler/$@.py + poetry run pytest solns/$@.py diff --git a/pyproject.toml b/pyproject.toml index 3e0046d6..d330b9bc 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -34,6 +34,9 @@ lines_after_imports = 2 [tool.ruff] line-length = 120 +[tool.pytest.ini_options] +python_files = "*.py" + [build-system] requires = ["poetry-core"] build-backend = "poetry.core.masonry.api" diff --git a/src/project_euler/1.py b/solns/1.py similarity index 84% rename from src/project_euler/1.py rename to solns/1.py index 5cdf9815..b23a4f54 100644 --- a/src/project_euler/1.py +++ b/solns/1.py @@ -7,4 +7,5 @@ def run(limit: int) -> int: return sum([n for n in range(limit) if n % 3 == 0 or n % 5 == 0]) -assert run(1000) == 233168 +def test_run(): + assert run(1000) == 233168 diff --git a/src/__init__.py b/solns/__init__.py similarity index 100% rename from src/__init__.py rename to solns/__init__.py diff --git a/src/1.ts b/src/1.ts deleted file mode 100644 index fb48de0a..00000000 --- a/src/1.ts +++ /dev/null @@ -1,10 +0,0 @@ -import _ from 'lodash'; - -// Computes the sum of all the multiples of 3 or 5 below the given limit. -// -// See {@link https://projecteuler.net/problem=1}. -export default function compute(limit: number) { - return _.range(limit) - .filter(n => n % 3 === 0 || n % 5 === 0) - .reduce((a, b) => a + b, 0); -} diff --git a/test/1.test.ts b/test/1.test.ts deleted file mode 100644 index 0a6649b9..00000000 --- a/test/1.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/1'; - -describe('multiples of 3 or 5', () => { - test('problem 1', async () => { - expect(compute(1000)).toBe(233168); - }); -}); diff --git a/test/project_euler/1_test.py b/test/project_euler/1_test.py deleted file mode 100644 index d503587c..00000000 --- a/test/project_euler/1_test.py +++ /dev/null @@ -1,4 +0,0 @@ -from project_euler.problem_1 import run - -def test(): - assert run(1000) == 233168 \ No newline at end of file From e7e1a39638ea26a793cf23679cac965f956ec77d Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 18:06:41 -0700 Subject: [PATCH 05/60] builds with poetry --- pyproject.toml | 2 +- scripts.py | 10 +++++----- 2 files changed, 6 insertions(+), 6 deletions(-) diff --git a/pyproject.toml b/pyproject.toml index d330b9bc..291d3a38 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,5 +1,5 @@ [tool.poetry] -name = "project_euler" +name = "solns" version = "0.1.0" description = "Problems and solutions for Project Euler" authors = ["Min Huang "] diff --git a/scripts.py b/scripts.py index cbf56516..f64b13e7 100644 --- a/scripts.py +++ b/scripts.py @@ -12,14 +12,14 @@ def run_all(): def run_lint(): - run_cmd("poetry run ruff check --fix project_euler") - run_cmd("poetry run pyright project_euler") + run_cmd("poetry run ruff check --fix solns") + run_cmd("poetry run pyright solns") def run_format(): - run_cmd("poetry run black project_euler") - run_cmd("poetry run isort project_euler") + run_cmd("poetry run black solns") + run_cmd("poetry run isort solns") def run_tests(): - run_cmd("poetry run pytest project_euler") + run_cmd("poetry run pytest solns") From 444ad48e4ff871cf3622d7608859d4afa9c48396 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 18:26:05 -0700 Subject: [PATCH 06/60] add numpy --- poetry.lock | 87 ++++++++++++++++++++++++++++++++++-- pyproject.toml | 1 + solns/common/combinations.py | 0 3 files changed, 85 insertions(+), 3 deletions(-) create mode 100644 solns/common/combinations.py diff --git a/poetry.lock b/poetry.lock index 955aa99e..48e80a79 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,4 +1,4 @@ -# This file is automatically @generated by Poetry 1.8.5 and should not be changed by hand. +# This file is automatically @generated by Poetry 2.1.1 and should not be changed by hand. 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+237,7 @@ version = "1.5.0" description = "plugin and hook calling mechanisms for python" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "pluggy-1.5.0-py3-none-any.whl", hash = "sha256:44e1ad92c8ca002de6377e165f3e0f1be63266ab4d554740532335b9d75ea669"}, {file = "pluggy-1.5.0.tar.gz", hash = "sha256:2cffa88e94fdc978c4c574f15f9e59b7f4201d439195c3715ca9e2486f1d0cf1"}, @@ -176,6 +253,7 @@ version = "1.1.397" description = "Command line wrapper for pyright" optional = false python-versions = ">=3.7" +groups = ["dev"] files = [ {file = "pyright-1.1.397-py3-none-any.whl", hash = "sha256:2e93fba776e714a82b085d68f8345b01f91ba43e1ab9d513e79b70fc85906257"}, {file = "pyright-1.1.397.tar.gz", hash = "sha256:07530fd65a449e4b0b28dceef14be0d8e0995a7a5b1bb2f3f897c3e548451ce3"}, @@ -196,6 +274,7 @@ version = "8.3.5" description = "pytest: simple powerful testing with Python" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "pytest-8.3.5-py3-none-any.whl", hash = "sha256:c69214aa47deac29fad6c2a4f590b9c4a9fdb16a403176fe154b79c0b4d4d820"}, {file = "pytest-8.3.5.tar.gz", hash = "sha256:f4efe70cc14e511565ac476b57c279e12a855b11f48f212af1080ef2263d3845"}, @@ -216,6 +295,7 @@ version = "0.9.10" description = "An extremely fast Python linter and code formatter, written in Rust." optional = false python-versions = ">=3.7" +groups = ["dev"] files = [ {file = "ruff-0.9.10-py3-none-linux_armv6l.whl", hash = "sha256:eb4d25532cfd9fe461acc83498361ec2e2252795b4f40b17e80692814329e42d"}, {file = "ruff-0.9.10-py3-none-macosx_10_12_x86_64.whl", hash = "sha256:188a6638dab1aa9bb6228a7302387b2c9954e455fb25d6b4470cb0641d16759d"}, @@ -243,12 +323,13 @@ version = "4.12.2" description = "Backported and Experimental Type Hints for Python 3.8+" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"}, {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"}, ] [metadata] -lock-version = "2.0" +lock-version = "2.1" python-versions = "^3.13" -content-hash = "002e905bac2e9ccabf17a9fb87c177e9451eef934dcaf229cbfefc4b8ee04f92" +content-hash = "f101a8ba2cef0e3ce0d77ac1ce95ee08fad7c631e272595e46ec8c0743c52194" diff --git a/pyproject.toml b/pyproject.toml index 291d3a38..497d6be1 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -13,6 +13,7 @@ lint = "scripts:run_lint" test = "scripts:run_tests" [tool.poetry.dependencies] +numpy = "^2.2.4" python = "^3.13" [tool.poetry.group.dev.dependencies] diff --git a/solns/common/combinations.py b/solns/common/combinations.py new file mode 100644 index 00000000..e69de29b From 5d1aa85321b100e787fb0fcac3a4170438152bb6 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 18:28:57 -0700 Subject: [PATCH 07/60] adds 53 --- solns/53.py | 20 ++++++++++++++++++++ solns/common/combinations.py | 0 src/53.ts | 20 -------------------- src/core/combinations.ts | 22 ---------------------- test/core/combinations.test.ts | 11 ----------- 5 files changed, 20 insertions(+), 53 deletions(-) create mode 100644 solns/53.py delete mode 100644 solns/common/combinations.py delete mode 100644 src/53.ts delete mode 100644 src/core/combinations.ts delete mode 100644 test/core/combinations.test.ts diff --git a/solns/53.py b/solns/53.py new file mode 100644 index 00000000..ee9da79a --- /dev/null +++ b/solns/53.py @@ -0,0 +1,20 @@ +# Problem 53: Combinatoric Selections. +# +# Computes the number distinct values of (n choose r) for 1 ≤ n ≤ limit that are greater than 1_000_000. +# +# See {@link https://projecteuler.net/problem=53}. +import math + + +def run(limit: int) -> int: + count = 0 + for n in range(1, limit + 1): + for r in range(1, n): + c = math.comb(n, r) + if c > 1_000_000: + count += 1 + return count + + +def test_run(): + assert run(100) == 4075 diff --git a/solns/common/combinations.py b/solns/common/combinations.py deleted file mode 100644 index e69de29b..00000000 diff --git a/src/53.ts b/src/53.ts deleted file mode 100644 index aa41e3b6..00000000 --- a/src/53.ts +++ /dev/null @@ -1,20 +0,0 @@ -import _ from 'lodash'; -import combinations from './core/combinations'; - -// Computes the number distinct values of (n choose r) for 1 ≤ n ≤ limit that are greater than 1_000_000. -// -// See {@link https://projecteuler.net/problem=53}. -export default function compute(limit: number) { - let count = 0; - - for (const n of _.range(1, limit + 1)) { - for (const r of _.range(1, n - 1)) { - const c = combinations(n, r); - if (c > 1_000_000) { - count++; - } - } - } - - return count; -} diff --git a/src/core/combinations.ts b/src/core/combinations.ts deleted file mode 100644 index 49b25d53..00000000 --- a/src/core/combinations.ts +++ /dev/null @@ -1,22 +0,0 @@ -// Computes the number of combinations of n items taken r at a time. -// -// See {@link https://en.wikipedia.org/wiki/Combination}. -// See {@link https://en.wikipedia.org/wiki/Binomial_coefficient}. -export default function combinations(n: number, r: number): number { - if (r > n || n < 0 || r < 0) { - return 0; - } - - // Note that C(n, r) = C(n, n - r). - if (r > n - r) { - r = n - r; - } - - let result = 1; - for (let i = 0; i < r; i++) { - result *= n - i; - result /= i + 1; - } - - return result; -} diff --git a/test/core/combinations.test.ts b/test/core/combinations.test.ts deleted file mode 100644 index 8d5f3e56..00000000 --- a/test/core/combinations.test.ts +++ /dev/null @@ -1,11 +0,0 @@ -import combinations from '../../src/core/combinations'; - -describe('combinations', () => { - test('combinations', async () => { - expect(combinations(0, 0)).toBe(1); - expect(combinations(100, 0)).toBe(1); - expect(combinations(100, 100)).toBe(1); - expect(combinations(5, 2)).toBe(10); - expect(combinations(10, 3)).toBe(120); - }); -}); From 76f078644051a14528c36f84b621ebde23098286 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 18:33:28 -0700 Subject: [PATCH 08/60] tmp --- solns/common/divisors.py | 13 +++++++++++++ 1 file changed, 13 insertions(+) create mode 100644 solns/common/divisors.py diff --git a/solns/common/divisors.py b/solns/common/divisors.py new file mode 100644 index 00000000..c4ea6e68 --- /dev/null +++ b/solns/common/divisors.py @@ -0,0 +1,13 @@ +import numpy as np + +def divisors(n: int) -> np.ndarray: + """Returns a sorted list of all divisors of n.""" + # Use trial division to find all divisors of n. + divisors = np.array([i for i in range(1, int(np.sqrt(n)) + 1) if n % i == 0]) + paired_divisors = n // divisors + all_divisors = np.unique(np.concatenate((divisors, paired_divisors))) + return np.sort(all_divisors) + +# Example usage: +num = 36 +print(get_divisors(num)) # Output: [ 1 2 3 4 6 9 12 18 36] \ No newline at end of file From 525252a50a48fe602b18c28007bd7b4e310159e7 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 22:42:12 -0700 Subject: [PATCH 09/60] divisors --- Makefile | 2 +- poetry.lock | 21 ++------------------- {solns => project_euler}/1.py | 0 {solns => project_euler}/53.py | 0 {solns => project_euler}/__init__.py | 0 project_euler/common/divisors.py | 20 ++++++++++++++++++++ project_euler/common/divisors_test.py | 9 +++++++++ pyproject.toml | 2 +- scripts.py | 10 +++++----- solns/common/divisors.py | 13 ------------- 10 files changed, 38 insertions(+), 39 deletions(-) rename {solns => project_euler}/1.py (100%) rename {solns => project_euler}/53.py (100%) rename {solns => project_euler}/__init__.py (100%) create mode 100644 project_euler/common/divisors.py create mode 100644 project_euler/common/divisors_test.py delete mode 100644 solns/common/divisors.py diff --git a/Makefile b/Makefile index 57e5e476..cd10acd3 100644 --- a/Makefile +++ b/Makefile @@ -1,4 +1,4 @@ .PHONY: % %: - poetry run pytest solns/$@.py + poetry run pytest project_euler/$@.py diff --git a/poetry.lock b/poetry.lock index 48e80a79..00925a91 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,4 +1,4 @@ -# This file is automatically @generated by Poetry 2.1.1 and should not be changed by hand. +# This file is automatically @generated by Poetry 1.8.5 and should not be changed by hand. [[package]] name = "black" @@ -6,7 +6,6 @@ version = "25.1.0" description = "The uncompromising code formatter." optional = false python-versions = ">=3.9" -groups = ["dev"] files = [ {file = "black-25.1.0-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:759e7ec1e050a15f89b770cefbf91ebee8917aac5c20483bc2d80a6c3a04df32"}, {file = "black-25.1.0-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:0e519ecf93120f34243e6b0054db49c00a35f84f195d5bce7e9f5cfc578fc2da"}, @@ -51,7 +50,6 @@ version = "8.1.8" description = "Composable command line interface toolkit" optional = false python-versions = ">=3.7" -groups = ["dev"] files = [ {file = "click-8.1.8-py3-none-any.whl", hash = "sha256:63c132bbbed01578a06712a2d1f497bb62d9c1c0d329b7903a866228027263b2"}, {file = "click-8.1.8.tar.gz", hash = "sha256:ed53c9d8990d83c2a27deae68e4ee337473f6330c040a31d4225c9574d16096a"}, @@ -66,8 +64,6 @@ version = "0.4.6" description = "Cross-platform colored terminal text." optional = false python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7" -groups = ["dev"] -markers = "platform_system == \"Windows\" or sys_platform == \"win32\"" files = [ {file = "colorama-0.4.6-py2.py3-none-any.whl", hash = "sha256:4f1d9991f5acc0ca119f9d443620b77f9d6b33703e51011c16baf57afb285fc6"}, {file = "colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44"}, @@ -79,7 +75,6 @@ version = "2.1.0" description = "brain-dead simple config-ini parsing" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "iniconfig-2.1.0-py3-none-any.whl", hash = "sha256:9deba5723312380e77435581c6bf4935c94cbfab9b1ed33ef8d238ea168eb760"}, {file = "iniconfig-2.1.0.tar.gz", hash = "sha256:3abbd2e30b36733fee78f9c7f7308f2d0050e88f0087fd25c2645f63c773e1c7"}, @@ -91,7 +86,6 @@ version = "6.0.1" description = "A Python utility / library to sort Python imports." optional = false python-versions = ">=3.9.0" -groups = ["dev"] files = [ {file = "isort-6.0.1-py3-none-any.whl", hash = "sha256:2dc5d7f65c9678d94c88dfc29161a320eec67328bc97aad576874cb4be1e9615"}, {file = "isort-6.0.1.tar.gz", hash = "sha256:1cb5df28dfbc742e490c5e41bad6da41b805b0a8be7bc93cd0fb2a8a890ac450"}, @@ -107,7 +101,6 @@ version = "1.0.0" description = "Type system extensions for programs checked with the mypy type checker." optional = false python-versions = ">=3.5" -groups = ["dev"] files = [ {file = "mypy_extensions-1.0.0-py3-none-any.whl", hash = "sha256:4392f6c0eb8a5668a69e23d168ffa70f0be9ccfd32b5cc2d26a34ae5b844552d"}, {file = "mypy_extensions-1.0.0.tar.gz", hash = "sha256:75dbf8955dc00442a438fc4d0666508a9a97b6bd41aa2f0ffe9d2f2725af0782"}, @@ -119,7 +112,6 @@ version = "1.9.1" description = "Node.js virtual environment builder" optional = false python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7" -groups = ["dev"] files = [ {file = "nodeenv-1.9.1-py2.py3-none-any.whl", hash = "sha256:ba11c9782d29c27c70ffbdda2d7415098754709be8a7056d79a737cd901155c9"}, {file = "nodeenv-1.9.1.tar.gz", hash = "sha256:6ec12890a2dab7946721edbfbcd91f3319c6ccc9aec47be7c7e6b7011ee6645f"}, @@ -131,7 +123,6 @@ version = "2.2.4" description = "Fundamental package for array computing in Python" optional = false python-versions = ">=3.10" -groups = ["main"] files = [ {file = "numpy-2.2.4-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:8146f3550d627252269ac42ae660281d673eb6f8b32f113538e0cc2a9aed42b9"}, {file = "numpy-2.2.4-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:e642d86b8f956098b564a45e6f6ce68a22c2c97a04f5acd3f221f57b8cb850ae"}, @@ -196,7 +187,6 @@ version = "24.2" description = "Core utilities for Python packages" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "packaging-24.2-py3-none-any.whl", hash = "sha256:09abb1bccd265c01f4a3aa3f7a7db064b36514d2cba19a2f694fe6150451a759"}, {file = "packaging-24.2.tar.gz", hash = "sha256:c228a6dc5e932d346bc5739379109d49e8853dd8223571c7c5b55260edc0b97f"}, @@ -208,7 +198,6 @@ version = "0.12.1" description = "Utility library for gitignore style pattern matching of file paths." optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "pathspec-0.12.1-py3-none-any.whl", hash = "sha256:a0d503e138a4c123b27490a4f7beda6a01c6f288df0e4a8b79c7eb0dc7b4cc08"}, {file = "pathspec-0.12.1.tar.gz", hash = "sha256:a482d51503a1ab33b1c67a6c3813a26953dbdc71c31dacaef9a838c4e29f5712"}, @@ -220,7 +209,6 @@ version = "4.3.7" description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`." optional = false python-versions = ">=3.9" -groups = ["dev"] files = [ {file = "platformdirs-4.3.7-py3-none-any.whl", hash = "sha256:a03875334331946f13c549dbd8f4bac7a13a50a895a0eb1e8c6a8ace80d40a94"}, {file = "platformdirs-4.3.7.tar.gz", hash = "sha256:eb437d586b6a0986388f0d6f74aa0cde27b48d0e3d66843640bfb6bdcdb6e351"}, @@ -237,7 +225,6 @@ version = "1.5.0" description = "plugin and hook calling mechanisms for python" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "pluggy-1.5.0-py3-none-any.whl", hash = "sha256:44e1ad92c8ca002de6377e165f3e0f1be63266ab4d554740532335b9d75ea669"}, {file = "pluggy-1.5.0.tar.gz", hash = "sha256:2cffa88e94fdc978c4c574f15f9e59b7f4201d439195c3715ca9e2486f1d0cf1"}, @@ -253,7 +240,6 @@ version = "1.1.397" description = "Command line wrapper for pyright" optional = false python-versions = ">=3.7" -groups = ["dev"] files = [ {file = "pyright-1.1.397-py3-none-any.whl", hash = "sha256:2e93fba776e714a82b085d68f8345b01f91ba43e1ab9d513e79b70fc85906257"}, {file = "pyright-1.1.397.tar.gz", hash = "sha256:07530fd65a449e4b0b28dceef14be0d8e0995a7a5b1bb2f3f897c3e548451ce3"}, @@ -274,7 +260,6 @@ version = "8.3.5" description = "pytest: simple powerful testing with Python" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "pytest-8.3.5-py3-none-any.whl", hash = "sha256:c69214aa47deac29fad6c2a4f590b9c4a9fdb16a403176fe154b79c0b4d4d820"}, {file = "pytest-8.3.5.tar.gz", hash = "sha256:f4efe70cc14e511565ac476b57c279e12a855b11f48f212af1080ef2263d3845"}, @@ -295,7 +280,6 @@ version = "0.9.10" description = "An extremely fast Python linter and code formatter, written in Rust." optional = false python-versions = ">=3.7" -groups = ["dev"] files = [ {file = "ruff-0.9.10-py3-none-linux_armv6l.whl", hash = "sha256:eb4d25532cfd9fe461acc83498361ec2e2252795b4f40b17e80692814329e42d"}, {file = "ruff-0.9.10-py3-none-macosx_10_12_x86_64.whl", hash = "sha256:188a6638dab1aa9bb6228a7302387b2c9954e455fb25d6b4470cb0641d16759d"}, @@ -323,13 +307,12 @@ version = "4.12.2" description = "Backported and Experimental Type Hints for Python 3.8+" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"}, {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"}, ] [metadata] -lock-version = "2.1" +lock-version = "2.0" python-versions = "^3.13" content-hash = "f101a8ba2cef0e3ce0d77ac1ce95ee08fad7c631e272595e46ec8c0743c52194" diff --git a/solns/1.py b/project_euler/1.py similarity index 100% rename from solns/1.py rename to project_euler/1.py diff --git a/solns/53.py b/project_euler/53.py similarity index 100% rename from solns/53.py rename to project_euler/53.py diff --git a/solns/__init__.py b/project_euler/__init__.py similarity index 100% rename from solns/__init__.py rename to project_euler/__init__.py diff --git a/project_euler/common/divisors.py b/project_euler/common/divisors.py new file mode 100644 index 00000000..398f35e7 --- /dev/null +++ b/project_euler/common/divisors.py @@ -0,0 +1,20 @@ +import numpy as np + + +memo: dict[int, np.ndarray] = {} + + +def divisors(n: int) -> np.ndarray: + if n in memo: + return memo[n] + + # Use trial division to find all divisors of n, up to sqrt(n). Only check up to sqrt(n) because you can't have a + # divisors greater than sqrt(n) that isn't paired with a divisor less than sqrt(n). + divisors = np.array([i for i in range(1, int(np.sqrt(n)) + 1) if n % i == 0]) + + # Find those other divisor in the pair for each divisor found above. + paired = n // divisors + + # Remove duplicates and sort the list. + all = np.concatenate((divisors, paired)) + return np.sort(np.unique(all)) diff --git a/project_euler/common/divisors_test.py b/project_euler/common/divisors_test.py new file mode 100644 index 00000000..22f8c276 --- /dev/null +++ b/project_euler/common/divisors_test.py @@ -0,0 +1,9 @@ +import numpy as np +from project_euler.common.divisors import divisors + + +def test_divisors(): + assert np.array_equal(divisors(1), [1]) + assert np.array_equal(divisors(2), [1, 2]) + assert np.array_equal(divisors(15), [1, 3, 5, 15]) + assert np.array_equal(divisors(2015), [1, 5, 13, 31, 65, 155, 403, 2015]) diff --git a/pyproject.toml b/pyproject.toml index 497d6be1..8ad0f1e8 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -1,5 +1,5 @@ [tool.poetry] -name = "solns" +name = "project-euler" version = "0.1.0" description = "Problems and solutions for Project Euler" authors = ["Min Huang "] diff --git a/scripts.py b/scripts.py index f64b13e7..c4e92170 100644 --- a/scripts.py +++ b/scripts.py @@ -12,14 +12,14 @@ def run_all(): def run_lint(): - run_cmd("poetry run ruff check --fix solns") - run_cmd("poetry run pyright solns") + run_cmd("poetry run ruff check --fix project_euler") + run_cmd("poetry run pyright project_euler") def run_format(): - run_cmd("poetry run black solns") - run_cmd("poetry run isort solns") + run_cmd("poetry run black project_euler") + run_cmd("poetry run isort project_euler") def run_tests(): - run_cmd("poetry run pytest solns") + run_cmd("poetry run pytest project_euler") diff --git a/solns/common/divisors.py b/solns/common/divisors.py deleted file mode 100644 index c4ea6e68..00000000 --- a/solns/common/divisors.py +++ /dev/null @@ -1,13 +0,0 @@ -import numpy as np - -def divisors(n: int) -> np.ndarray: - """Returns a sorted list of all divisors of n.""" - # Use trial division to find all divisors of n. - divisors = np.array([i for i in range(1, int(np.sqrt(n)) + 1) if n % i == 0]) - paired_divisors = n // divisors - all_divisors = np.unique(np.concatenate((divisors, paired_divisors))) - return np.sort(all_divisors) - -# Example usage: -num = 36 -print(get_divisors(num)) # Output: [ 1 2 3 4 6 9 12 18 36] \ No newline at end of file From e829affa1190d282f0799067e7bc3cbc1e0d2427 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 23:05:42 -0700 Subject: [PATCH 10/60] add the primes --- .gitignore | 2 - project_euler/common/primes.py | 38 + project_euler/data/primes.txt | 78498 +++++++++++++++++++++++++++++++ pyproject.toml | 1 + scripts.py | 4 + src/core/divisors.ts | 31 - 6 files changed, 78541 insertions(+), 33 deletions(-) create mode 100644 project_euler/common/primes.py create mode 100644 project_euler/data/primes.txt delete mode 100644 src/core/divisors.ts diff --git a/.gitignore b/.gitignore index 759ea1bc..8171ea59 100644 --- a/.gitignore +++ b/.gitignore @@ -3,8 +3,6 @@ __pycache__/ .mypy_cache/ .venv/ .vscode/ -build/ -dist/ *.egg-info/ *.pyc diff --git a/project_euler/common/primes.py b/project_euler/common/primes.py new file mode 100644 index 00000000..ed36d62b --- /dev/null +++ b/project_euler/common/primes.py @@ -0,0 +1,38 @@ +from pathlib import Path +import numpy as np + + +def primes_under(n: int) -> np.ndarray: + """Returns all prime numbers less than n.""" + if n < 2: + return np.array([], dtype=int) + + # Create a boolean array of n elements, all defaulting to True. This is less efficient than running a sieve on only + # odd numbers, but it's sufficient for the problems we are working with. + sieve = np.ones(n, dtype=bool) + + # Mark 0 and 1 as non-prime. + sieve[0:2] = False + + # Only consider up to (and including) the sqrt(n); any number greater than sqrt(n) that is a multiple of a number + # less than sqrt(n) would have already been marked as non-prime. + limit = int(np.sqrt(n)) + 1 + for i in range(2, limit): + # Mark all multiples of i as non-prime. + if sieve[i]: + sieve[i * i : n : i] = False + + # Extract indices where the sieve is True (primes). + return np.flatnonzero(sieve) + + +def generate_primes(n: int) -> None: + primes = primes_under(n) + path = Path(__file__).parent / ".." / "data" / "primes.txt" + with path.open("w", encoding="utf-8") as file: + for prime in primes: + file.write(f"{prime}\n") + + +if __name__ == "__main__": + generate_primes(1_000_000) \ No newline at end of file diff --git a/project_euler/data/primes.txt 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+999863 +999883 +999907 +999917 +999931 +999953 +999959 +999961 +999979 +999983 diff --git a/pyproject.toml b/pyproject.toml index 8ad0f1e8..a0e9b131 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -11,6 +11,7 @@ all = "scripts:run_all" format = "scripts:run_format" lint = "scripts:run_lint" test = "scripts:run_tests" +primes = "scripts:run_primes" [tool.poetry.dependencies] numpy = "^2.2.4" diff --git a/scripts.py b/scripts.py index c4e92170..d7f932e9 100644 --- a/scripts.py +++ b/scripts.py @@ -23,3 +23,7 @@ def run_format(): def run_tests(): run_cmd("poetry run pytest project_euler") + + +def run_primes(): + run_cmd("poetry run python project_euler/common/primes.py") diff --git a/src/core/divisors.ts b/src/core/divisors.ts deleted file mode 100644 index 07493476..00000000 --- a/src/core/divisors.ts +++ /dev/null @@ -1,31 +0,0 @@ -const memo = new Map(); - -// Computes the divisors of a given number. -// -// @remarks -// Uses a simple algorithm of trial division and memoizes the results. -// -// @returns The divisors in ascending order. -export default function divisors(n: number): number[] { - if (memo.has(n)) { - return memo.get(n)!; - } - - const set = new Set(); - const limit = Math.floor(Math.sqrt(n)); - - // We only need to go up to the square root of the number to find all of its divisors; divisors always occur in pairs, - // and you can't get divisors larger than the square root. - for (let i = 1; i <= limit; i++) { - if (n % i === 0) { - set.add(i); - set.add(n / i); - } - } - - const ds = Array.from(set); - ds.sort((a, b) => a - b); - - memo.set(n, ds); - return ds; -} From 40944d63475b3140796f134fa269fce5afdfe832 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 23:07:21 -0700 Subject: [PATCH 11/60] rename to generate_primes --- project_euler/common/{primes.py => generate_primes.py} | 0 scripts.py | 2 +- 2 files changed, 1 insertion(+), 1 deletion(-) rename project_euler/common/{primes.py => generate_primes.py} (100%) diff --git a/project_euler/common/primes.py b/project_euler/common/generate_primes.py similarity index 100% rename from project_euler/common/primes.py rename to project_euler/common/generate_primes.py diff --git a/scripts.py b/scripts.py index d7f932e9..fa0e116b 100644 --- a/scripts.py +++ b/scripts.py @@ -26,4 +26,4 @@ def run_tests(): def run_primes(): - run_cmd("poetry run python project_euler/common/primes.py") + run_cmd("poetry run python project_euler/common/generate_primes.py") From dcba26cc77c0899f578b76b398939763cf9991e5 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 23:28:00 -0700 Subject: [PATCH 12/60] memoized divisors --- project_euler/common/divisors.py | 31 ++++++++++++++++++------- project_euler/common/divisors_test.py | 9 ++++--- project_euler/common/generate_primes.py | 2 +- src/core/gcd.ts | 14 ----------- src/core/lcm.ts | 8 ------- src/core/primes.ts | 10 -------- src/core/slurp.ts | 7 ------ 7 files changed, 27 insertions(+), 54 deletions(-) delete mode 100644 src/core/gcd.ts delete mode 100644 src/core/lcm.ts delete mode 100644 src/core/primes.ts delete mode 100644 src/core/slurp.ts diff --git a/project_euler/common/divisors.py b/project_euler/common/divisors.py index 398f35e7..4b6ec6a4 100644 --- a/project_euler/common/divisors.py +++ b/project_euler/common/divisors.py @@ -1,20 +1,33 @@ -import numpy as np +import math -memo: dict[int, np.ndarray] = {} +memo: dict[int, list[int]] = {} -def divisors(n: int) -> np.ndarray: +def divisors(n: int) -> list[int]: if n in memo: return memo[n] + ds: set[int] = set() + # Use trial division to find all divisors of n, up to sqrt(n). Only check up to sqrt(n) because you can't have a # divisors greater than sqrt(n) that isn't paired with a divisor less than sqrt(n). - divisors = np.array([i for i in range(1, int(np.sqrt(n)) + 1) if n % i == 0]) + # + # Also, try to reuse the known results of smaller divisors if we can. + limit = int(math.sqrt(n)) + 1 + for i in range(1, limit): + if n % i == 0: + ds.add(i) + ds.add(n // i) - # Find those other divisor in the pair for each divisor found above. - paired = n // divisors + # If we have a known set of divisors for i, we can use that to find the divisors of n. Only do this if the + # divisors are non-trivial (i.e. not just 1 and i). + if i > 1 and i in memo and len(memo[i]) > 2: + known = memo[i] + candidates = {j for j in known if n % j == 0} + complement = {n // j for j in candidates} + memo[n] = sorted(candidates.union(complement)) + return memo[n] - # Remove duplicates and sort the list. - all = np.concatenate((divisors, paired)) - return np.sort(np.unique(all)) + memo[n] = sorted(ds) + return memo[n] diff --git a/project_euler/common/divisors_test.py b/project_euler/common/divisors_test.py index 22f8c276..9291d46a 100644 --- a/project_euler/common/divisors_test.py +++ b/project_euler/common/divisors_test.py @@ -1,9 +1,8 @@ -import numpy as np from project_euler.common.divisors import divisors def test_divisors(): - assert np.array_equal(divisors(1), [1]) - assert np.array_equal(divisors(2), [1, 2]) - assert np.array_equal(divisors(15), [1, 3, 5, 15]) - assert np.array_equal(divisors(2015), [1, 5, 13, 31, 65, 155, 403, 2015]) + assert divisors(1) == [1] + assert divisors(2) == [1, 2] + assert divisors(15) == [1, 3, 5, 15] + assert divisors(2015) == [1, 5, 13, 31, 65, 155, 403, 2015] diff --git a/project_euler/common/generate_primes.py b/project_euler/common/generate_primes.py index ed36d62b..ceddc8dc 100644 --- a/project_euler/common/generate_primes.py +++ b/project_euler/common/generate_primes.py @@ -35,4 +35,4 @@ def generate_primes(n: int) -> None: if __name__ == "__main__": - generate_primes(1_000_000) \ No newline at end of file + generate_primes(1_000_000) diff --git a/src/core/gcd.ts b/src/core/gcd.ts deleted file mode 100644 index 5895e28f..00000000 --- a/src/core/gcd.ts +++ /dev/null @@ -1,14 +0,0 @@ -// Computes the greatest common divisor of two numbers. -// -// See {@link https://en.wikipedia.org/wiki/Greatest_common_divisor}. -export default function gcd(m: number, n: number): number { - if (m < 0 || n < 0) { - throw new Error('m and n must be non-negative.'); - } - - while (n !== 0) { - [m, n] = [n, m % n]; - } - - return m; -} diff --git a/src/core/lcm.ts b/src/core/lcm.ts deleted file mode 100644 index 3e94b761..00000000 --- a/src/core/lcm.ts +++ /dev/null @@ -1,8 +0,0 @@ -import gcd from './gcd'; - -// Computes the least common multiple of two numbers. -// -// See {@link https://en.wikipedia.org/wiki/Least_common_multiple}. -export default function lcm(m: number, n: number): number { - return Math.abs(m * n) / gcd(m, n); -} diff --git a/src/core/primes.ts b/src/core/primes.ts deleted file mode 100644 index 4c7591f2..00000000 --- a/src/core/primes.ts +++ /dev/null @@ -1,10 +0,0 @@ -import _ from 'lodash'; -import slurp from './slurp'; - -// Returns the list of prime numbers. -// -// @remarks -// Cheats. Uses a precomputed list of primes from {@link script/primes.mjs}. -export default function primes(): number[] { - return slurp('primes.txt').split('\n').map(_.toNumber); -} diff --git a/src/core/slurp.ts b/src/core/slurp.ts deleted file mode 100644 index 2d22f3a1..00000000 --- a/src/core/slurp.ts +++ /dev/null @@ -1,7 +0,0 @@ -import fs from 'fs'; -import path from 'path'; - -export default function slurp(name: string): string { - const file = path.join('data', name); - return fs.readFileSync(file, 'utf8').toString(); -} From 99fdac421aad1b0cd1466d1ead93c8a39ad13c24 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 23:50:57 -0700 Subject: [PATCH 13/60] fixed bug with prime factors --- project_euler/common/divisors.py | 11 ---------- project_euler/common/prime_factors.py | 16 +++++++++++++++ project_euler/common/prime_factors_test.py | 10 ++++++++++ .../common/{generate_primes.py => primes.py} | 20 +++++++++++++++++-- scripts.py | 2 +- test/core/divisors.test.ts | 10 ---------- test/core/gcd.test.ts | 16 --------------- test/core/lcm.test.ts | 7 ------- 8 files changed, 45 insertions(+), 47 deletions(-) create mode 100644 project_euler/common/prime_factors.py create mode 100644 project_euler/common/prime_factors_test.py rename project_euler/common/{generate_primes.py => primes.py} (74%) delete mode 100644 test/core/divisors.test.ts delete mode 100644 test/core/gcd.test.ts delete mode 100644 test/core/lcm.test.ts diff --git a/project_euler/common/divisors.py b/project_euler/common/divisors.py index 4b6ec6a4..22f705a0 100644 --- a/project_euler/common/divisors.py +++ b/project_euler/common/divisors.py @@ -12,22 +12,11 @@ def divisors(n: int) -> list[int]: # Use trial division to find all divisors of n, up to sqrt(n). Only check up to sqrt(n) because you can't have a # divisors greater than sqrt(n) that isn't paired with a divisor less than sqrt(n). - # - # Also, try to reuse the known results of smaller divisors if we can. limit = int(math.sqrt(n)) + 1 for i in range(1, limit): if n % i == 0: ds.add(i) ds.add(n // i) - # If we have a known set of divisors for i, we can use that to find the divisors of n. Only do this if the - # divisors are non-trivial (i.e. not just 1 and i). - if i > 1 and i in memo and len(memo[i]) > 2: - known = memo[i] - candidates = {j for j in known if n % j == 0} - complement = {n // j for j in candidates} - memo[n] = sorted(candidates.union(complement)) - return memo[n] - memo[n] = sorted(ds) return memo[n] diff --git a/project_euler/common/prime_factors.py b/project_euler/common/prime_factors.py new file mode 100644 index 00000000..d59d6364 --- /dev/null +++ b/project_euler/common/prime_factors.py @@ -0,0 +1,16 @@ +from project_euler.common.divisors import divisors +from project_euler.common.primes import is_prime + + +memo: dict[int, list[int]] = {} + + +def prime_factors(n: int) -> list[int]: + if n in memo: + return memo[n] + + ds = divisors(n) + ps = [d for d in ds if d > 1 and is_prime(d)] + + memo[n] = ps + return ps diff --git a/project_euler/common/prime_factors_test.py b/project_euler/common/prime_factors_test.py new file mode 100644 index 00000000..31ebe263 --- /dev/null +++ b/project_euler/common/prime_factors_test.py @@ -0,0 +1,10 @@ +from project_euler.common.prime_factors import prime_factors + + +def test_prime_factors(): + assert prime_factors(1) == [] + assert prime_factors(2) == [2] + assert prime_factors(27) == [3] + assert prime_factors(2015) == [5, 13, 31] + assert prime_factors(2310) == [2, 3, 5, 7, 11] + assert prime_factors(103243) == [7, 43] diff --git a/project_euler/common/generate_primes.py b/project_euler/common/primes.py similarity index 74% rename from project_euler/common/generate_primes.py rename to project_euler/common/primes.py index ceddc8dc..d57f273f 100644 --- a/project_euler/common/generate_primes.py +++ b/project_euler/common/primes.py @@ -2,6 +2,9 @@ import numpy as np +primes: set[int] = set() + + def primes_under(n: int) -> np.ndarray: """Returns all prime numbers less than n.""" if n < 2: @@ -26,7 +29,7 @@ def primes_under(n: int) -> np.ndarray: return np.flatnonzero(sieve) -def generate_primes(n: int) -> None: +def write_primes(n: int) -> None: primes = primes_under(n) path = Path(__file__).parent / ".." / "data" / "primes.txt" with path.open("w", encoding="utf-8") as file: @@ -34,5 +37,18 @@ def generate_primes(n: int) -> None: file.write(f"{prime}\n") +def read_primes() -> list[int]: + path = Path(__file__).parent / ".." / "data" / "primes.txt" + with path.open("r", encoding="utf-8") as file: + return [int(line.strip()) for line in file] + + +def is_prime(n: int) -> bool: + if not primes: + primes.update(read_primes()) + + return n in primes + + if __name__ == "__main__": - generate_primes(1_000_000) + write_primes(1_000_000) diff --git a/scripts.py b/scripts.py index fa0e116b..d7f932e9 100644 --- a/scripts.py +++ b/scripts.py @@ -26,4 +26,4 @@ def run_tests(): def run_primes(): - run_cmd("poetry run python project_euler/common/generate_primes.py") + run_cmd("poetry run python project_euler/common/primes.py") diff --git a/test/core/divisors.test.ts b/test/core/divisors.test.ts deleted file mode 100644 index afb1cd04..00000000 --- a/test/core/divisors.test.ts +++ /dev/null @@ -1,10 +0,0 @@ -import divisors from '../../src/core/divisors'; - -describe('divisors', () => { - test('divisors', async () => { - expect(divisors(1)).toStrictEqual([1]); - expect(divisors(2)).toStrictEqual([1, 2]); - expect(divisors(15)).toStrictEqual([1, 3, 5, 15]); - expect(divisors(2015)).toStrictEqual([1, 5, 13, 31, 65, 155, 403, 2015]); - }); -}); diff --git a/test/core/gcd.test.ts b/test/core/gcd.test.ts deleted file mode 100644 index a2e4c5cc..00000000 --- a/test/core/gcd.test.ts +++ /dev/null @@ -1,16 +0,0 @@ -import gcd from '../../src/core/gcd'; - -describe('greatest common divisor', () => { - test('gcd', async () => { - expect(gcd(48, 18)).toBe(6); - expect(gcd(101, 103)).toBe(1); - expect(gcd(56, 98)).toBe(14); - expect(gcd(270, 192)).toBe(6); - expect(gcd(0, 5)).toBe(5); - expect(gcd(5, 0)).toBe(5); - expect(gcd(0, 0)).toBe(0); - expect(gcd(3, 20)).toBe(1); - expect(gcd(3, 345)).toBe(3); - expect(gcd(3, 115)).toBe(1); - }); -}); diff --git a/test/core/lcm.test.ts b/test/core/lcm.test.ts deleted file mode 100644 index 34317e19..00000000 --- a/test/core/lcm.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import lcm from '../../src/core/lcm'; - -describe('least common multiple', () => { - test('lcm', async () => { - expect(lcm(12, 18)).toBe(36); - }); -}); From 645ead1e736a2b143b8b138cdb302e7df0c5754f Mon Sep 17 00:00:00 2001 From: Min Huang Date: Thu, 20 Mar 2025 23:56:47 -0700 Subject: [PATCH 14/60] sigma and tau --- project_euler/common/divisors.py | 8 ++++++++ project_euler/common/divisors_test.py | 16 +++++++++++++++- src/core/prime-factors.ts | 27 --------------------------- test/core/prime-factors.test.ts | 10 ---------- test/core/sigma.test.ts | 10 ---------- test/core/tau.test.ts | 10 ---------- 6 files changed, 23 insertions(+), 58 deletions(-) delete mode 100644 src/core/prime-factors.ts delete mode 100644 test/core/prime-factors.test.ts delete mode 100644 test/core/sigma.test.ts delete mode 100644 test/core/tau.test.ts diff --git a/project_euler/common/divisors.py b/project_euler/common/divisors.py index 22f705a0..bfa8ec7f 100644 --- a/project_euler/common/divisors.py +++ b/project_euler/common/divisors.py @@ -20,3 +20,11 @@ def divisors(n: int) -> list[int]: memo[n] = sorted(ds) return memo[n] + + +def sigma(n: int) -> int: + return sum(divisors(n)) + + +def tau(n: int) -> int: + return len(divisors(n)) diff --git a/project_euler/common/divisors_test.py b/project_euler/common/divisors_test.py index 9291d46a..5969f19e 100644 --- a/project_euler/common/divisors_test.py +++ b/project_euler/common/divisors_test.py @@ -1,4 +1,4 @@ -from project_euler.common.divisors import divisors +from project_euler.common.divisors import divisors, sigma, tau def test_divisors(): @@ -6,3 +6,17 @@ def test_divisors(): assert divisors(2) == [1, 2] assert divisors(15) == [1, 3, 5, 15] assert divisors(2015) == [1, 5, 13, 31, 65, 155, 403, 2015] + + +def test_sigma(): + assert sigma(1) == 1 + assert sigma(2) == 3 + assert sigma(15) == 24 + assert sigma(2015) == 2688 + + +def test_tau(): + assert tau(1) == 1 + assert tau(2) == 2 + assert tau(15) == 4 + assert tau(2015) == 8 diff --git a/src/core/prime-factors.ts b/src/core/prime-factors.ts deleted file mode 100644 index e35984dd..00000000 --- a/src/core/prime-factors.ts +++ /dev/null @@ -1,27 +0,0 @@ -import divisors from './divisors'; - -const memo = new Map(); - -// Computes the prime factors of a given number. -// -// @remarks -// Checks all divisors for the number and returns the ones that are prime. Memoizes the results. -// -// @returns The prime factors in ascending order. -export default function primeFactors(n: number): number[] { - if (memo.has(n)) { - return memo.get(n)!; - } - - const ds = divisors(n); - const primes: number[] = []; - - for (const d of ds) { - if (d > 1 && divisors(d).length === 2) { - primes.push(d); - } - } - - memo.set(n, primes); - return primes; -} diff --git a/test/core/prime-factors.test.ts b/test/core/prime-factors.test.ts deleted file mode 100644 index 067ca39d..00000000 --- a/test/core/prime-factors.test.ts +++ /dev/null @@ -1,10 +0,0 @@ -import primeFactors from '../../src/core/prime-factors'; - -describe('prime factors', () => { - test('primeFactors', async () => { - expect(primeFactors(1)).toStrictEqual([]); - expect(primeFactors(2)).toStrictEqual([2]); - expect(primeFactors(27)).toStrictEqual([3]); - expect(primeFactors(103243)).toStrictEqual([7, 43]); - }); -}); diff --git a/test/core/sigma.test.ts b/test/core/sigma.test.ts deleted file mode 100644 index d81ab19c..00000000 --- a/test/core/sigma.test.ts +++ /dev/null @@ -1,10 +0,0 @@ -import sigma from '../../src/core/sigma'; - -describe('sum of divisors', () => { - test('sigma', async () => { - expect(sigma(1)).toBe(1); - expect(sigma(2)).toBe(3); - expect(sigma(15)).toBe(24); - expect(sigma(2015)).toBe(2688); - }); -}); diff --git a/test/core/tau.test.ts b/test/core/tau.test.ts deleted file mode 100644 index b5691846..00000000 --- a/test/core/tau.test.ts +++ /dev/null @@ -1,10 +0,0 @@ -import tau from '../../src/core/tau'; - -describe('number of divisors', () => { - test('tau', async () => { - expect(tau(1)).toBe(1); - expect(tau(2)).toBe(2); - expect(tau(15)).toBe(4); - expect(tau(2015)).toBe(8); - }); -}); From 15e18079f08ac1140a635d0ab30754bcce292c8f Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 00:20:53 -0700 Subject: [PATCH 15/60] totient --- data/primes.txt | 216816 ----------------------- project_euler/common/divisors.py | 11 +- project_euler/common/prime_factors.py | 10 +- project_euler/common/totient.py | 16 + project_euler/common/totient_test.py | 8 + {data => project_euler/data}/107.txt | 0 {data => project_euler/data}/11.txt | 0 {data => project_euler/data}/13.txt | 0 {data => project_euler/data}/18.txt | 0 {data => project_euler/data}/22.txt | 0 {data => project_euler/data}/42.txt | 0 {data => project_euler/data}/67.txt | 0 {data => project_euler/data}/8.txt | 0 src/core/sigma.ts | 8 - src/core/tau.ts | 12 - src/core/totient.ts | 29 - test/core/totient.test.ts | 10 - 17 files changed, 29 insertions(+), 216891 deletions(-) delete mode 100644 data/primes.txt create mode 100644 project_euler/common/totient.py create mode 100644 project_euler/common/totient_test.py rename {data => project_euler/data}/107.txt (100%) rename {data => project_euler/data}/11.txt (100%) rename {data => project_euler/data}/13.txt (100%) rename {data => project_euler/data}/18.txt (100%) rename {data => project_euler/data}/22.txt (100%) rename {data => project_euler/data}/42.txt (100%) rename {data => project_euler/data}/67.txt (100%) rename {data => project_euler/data}/8.txt (100%) delete mode 100644 src/core/sigma.ts delete mode 100644 src/core/tau.ts delete mode 100644 src/core/totient.ts delete mode 100644 test/core/totient.test.ts diff --git a/data/primes.txt b/data/primes.txt deleted file mode 100644 index 25faeafb..00000000 --- a/data/primes.txt +++ /dev/null @@ -1,216816 +0,0 @@ -2 -3 -5 -7 -11 -13 -17 -19 -23 -29 -31 -37 -41 -43 -47 -53 -59 -61 -67 -71 -73 -79 -83 -89 -97 -101 -103 -107 -109 -113 -127 -131 -137 -139 -149 -151 -157 -163 -167 -173 -179 -181 -191 -193 -197 -199 -211 -223 -227 -229 -233 -239 -241 -251 -257 -263 -269 -271 -277 -281 -283 -293 -307 -311 -313 -317 -331 -337 -347 -349 -353 -359 -367 -373 -379 -383 -389 -397 -401 -409 -419 -421 -431 -433 -439 -443 -449 -457 -461 -463 -467 -479 -487 -491 -499 -503 -509 -521 -523 -541 -547 -557 -563 -569 -571 -577 -587 -593 -599 -601 -607 -613 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up to sqrt(n). Only check up to sqrt(n) because you can't have a @@ -18,8 +14,7 @@ def divisors(n: int) -> list[int]: ds.add(i) ds.add(n // i) - memo[n] = sorted(ds) - return memo[n] + return sorted(ds) def sigma(n: int) -> int: diff --git a/project_euler/common/prime_factors.py b/project_euler/common/prime_factors.py index d59d6364..014e1f6c 100644 --- a/project_euler/common/prime_factors.py +++ b/project_euler/common/prime_factors.py @@ -1,16 +1,10 @@ +import functools from project_euler.common.divisors import divisors from project_euler.common.primes import is_prime -memo: dict[int, list[int]] = {} - - +@functools.lru_cache(maxsize=None) def prime_factors(n: int) -> list[int]: - if n in memo: - return memo[n] - ds = divisors(n) ps = [d for d in ds if d > 1 and is_prime(d)] - - memo[n] = ps return ps diff --git a/project_euler/common/totient.py b/project_euler/common/totient.py new file mode 100644 index 00000000..c7ced947 --- /dev/null +++ b/project_euler/common/totient.py @@ -0,0 +1,16 @@ +import functools +import math +from project_euler.common.prime_factors import prime_factors + + +@functools.lru_cache(maxsize=None) +def totient(n: int) -> int: + if n == 1: + return 0 + + ps = prime_factors(n) + phi = n + for p in ps: + phi *= 1 - 1 / p + + return math.floor(phi) diff --git a/project_euler/common/totient_test.py b/project_euler/common/totient_test.py new file mode 100644 index 00000000..1a980512 --- /dev/null +++ b/project_euler/common/totient_test.py @@ -0,0 +1,8 @@ +from project_euler.common.totient import totient + + +def test_totient(): + assert totient(1) == 0 + assert totient(7) == 6 + assert totient(15) == 8 + assert totient(2015) == 1440 diff --git a/data/107.txt b/project_euler/data/107.txt similarity index 100% rename from data/107.txt rename to project_euler/data/107.txt diff --git a/data/11.txt b/project_euler/data/11.txt similarity index 100% rename from data/11.txt rename to project_euler/data/11.txt diff --git a/data/13.txt b/project_euler/data/13.txt similarity index 100% rename from data/13.txt rename to project_euler/data/13.txt diff --git a/data/18.txt b/project_euler/data/18.txt similarity index 100% rename from data/18.txt rename to project_euler/data/18.txt diff --git a/data/22.txt b/project_euler/data/22.txt similarity index 100% rename from data/22.txt rename to project_euler/data/22.txt diff --git a/data/42.txt b/project_euler/data/42.txt similarity index 100% rename from data/42.txt rename to project_euler/data/42.txt diff --git a/data/67.txt b/project_euler/data/67.txt similarity index 100% rename from data/67.txt rename to project_euler/data/67.txt diff --git a/data/8.txt b/project_euler/data/8.txt similarity index 100% rename from data/8.txt rename to project_euler/data/8.txt diff --git a/src/core/sigma.ts b/src/core/sigma.ts deleted file mode 100644 index fea3ed6f..00000000 --- a/src/core/sigma.ts +++ /dev/null @@ -1,8 +0,0 @@ -import divisors from './divisors'; - -// Computes the sum of the divisors of a given number. -// -// See {@link https://en.wikipedia.org/wiki/Divisor_function} -export default function sigma(n: number): number { - return divisors(n).reduce((a, b) => a + b, 0); -} diff --git a/src/core/tau.ts b/src/core/tau.ts deleted file mode 100644 index 2d32388e..00000000 --- a/src/core/tau.ts +++ /dev/null @@ -1,12 +0,0 @@ -import divisors from './divisors'; - -// Compute the number of divisors of a number. -// -// @remarks -// Includes the number itself. -// -// See {@link https://en.wikipedia.org/wiki/Tau_function}. -// See {@link https://en.wikipedia.org/wiki/Divisor_function}. -export default function tau(n: number): number { - return divisors(n).length; -} diff --git a/src/core/totient.ts b/src/core/totient.ts deleted file mode 100644 index f144ba6b..00000000 --- a/src/core/totient.ts +++ /dev/null @@ -1,29 +0,0 @@ -import primeFactors from './prime-factors'; - -const memo = new Map(); - -// Computes the totient of a given number. -// -// @remarks -// The totient of a number n is the number of positive integers less than n that are coprime to n. We can compute this -// directly using the number's distinct prime factors. -// -// See {@link https://en.wikipedia.org/wiki/Euler's_totient_function}. -export default function totient(n: number): number { - if (memo.has(n)) { - return memo.get(n)!; - } - - if (n === 1) { - return 0; - } - - const phi = Math.floor( - primeFactors(n) - .map(p => 1 - 1 / p) - .reduce((a, b) => a * b, n) - ); - - memo.set(n, phi); - return phi; -} diff --git a/test/core/totient.test.ts b/test/core/totient.test.ts deleted file mode 100644 index 0a9a4d5c..00000000 --- a/test/core/totient.test.ts +++ /dev/null @@ -1,10 +0,0 @@ -import totient from '../../src/core/totient'; - -describe('totient', () => { - test('totient', async () => { - expect(totient(1)).toBe(0); - expect(totient(7)).toBe(6); - expect(totient(15)).toBe(8); - expect(totient(2015)).toBe(1440); - }); -}); From ac25b550947963ccbb09b17834ad8cd05004e647 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:08:07 -0700 Subject: [PATCH 16/60] 48 --- poetry.lock | 13 ++++++++++++- project_euler/48.py | 22 ++++++++++++++++++++++ pyproject.toml | 1 + src/core/modular-exponentiation.ts | 21 --------------------- 4 files changed, 35 insertions(+), 22 deletions(-) create mode 100644 project_euler/48.py delete mode 100644 src/core/modular-exponentiation.ts diff --git a/poetry.lock b/poetry.lock index 00925a91..bfa6277d 100644 --- a/poetry.lock +++ b/poetry.lock @@ -301,6 +301,17 @@ files = [ {file = "ruff-0.9.10.tar.gz", hash = "sha256:9bacb735d7bada9cfb0f2c227d3658fc443d90a727b47f206fb33f52f3c0eac7"}, ] +[[package]] +name = "toolz" +version = "1.0.0" +description = "List processing tools and functional utilities" +optional = false +python-versions = ">=3.8" +files = [ + {file = "toolz-1.0.0-py3-none-any.whl", hash = "sha256:292c8f1c4e7516bf9086f8850935c799a874039c8bcf959d47b600e4c44a6236"}, + {file = "toolz-1.0.0.tar.gz", hash = "sha256:2c86e3d9a04798ac556793bced838816296a2f085017664e4995cb40a1047a02"}, +] + [[package]] name = "typing-extensions" version = "4.12.2" @@ -315,4 +326,4 @@ files = [ [metadata] lock-version = "2.0" python-versions = "^3.13" -content-hash = "f101a8ba2cef0e3ce0d77ac1ce95ee08fad7c631e272595e46ec8c0743c52194" +content-hash = "8a42556126d0dacc83e2dc95cabcf299ecaf51ed42b8416d66d81e5049ba77af" diff --git a/project_euler/48.py b/project_euler/48.py new file mode 100644 index 00000000..195cdba8 --- /dev/null +++ b/project_euler/48.py @@ -0,0 +1,22 @@ +# Problem 48: Self powers. +# +# Computes the last ten digits of the series 1^1 + 2^2 + 3^3 + ... + 1000^1000. +# +# See https://projecteuler.net/problem=48 +from typing import cast +from toolz import curried, pipe + + +def run(n: int) -> int: + # This modulus will give us the last 10 digits. + m = 10**10 + result = pipe( + range(1, n + 1), + curried.map(lambda b: pow(b, b, m)), + curried.reduce(lambda a, b: (a + b) % m), + ) + return cast(int, result) + + +def test_run(): + assert run(1000) == 9110846700 diff --git a/pyproject.toml b/pyproject.toml index a0e9b131..f6bb052f 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -16,6 +16,7 @@ primes = "scripts:run_primes" [tool.poetry.dependencies] numpy = "^2.2.4" python = "^3.13" +toolz = "^1.0.0" [tool.poetry.group.dev.dependencies] black = "^25.1.0" diff --git a/src/core/modular-exponentiation.ts b/src/core/modular-exponentiation.ts deleted file mode 100644 index 203e21c5..00000000 --- a/src/core/modular-exponentiation.ts +++ /dev/null @@ -1,21 +0,0 @@ -// Computes b ** e modulo m. -// -// @remarks -// Uses the left-to-right binary method for modular exponentiation. -// -// See {@link https://en.wikipedia.org/wiki/Modular_exponentiation}. -// See {@link https://en.wikipedia.org/wiki/Exponentiation_by_squaring}. -export default function mexpt(b: number, e: number, m: number): number { - let a = 1; - - while (e > 0) { - if (e & 1) { - a = (a * b) % m; - } - - b = (b * b) % m; - e >>= 1; - } - - return a; -} From c486165593721771cc36346a87b786b27677990f Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:15:15 -0700 Subject: [PATCH 17/60] order --- project_euler/common/order.py | 19 ++++++++++++ project_euler/common/order_test.py | 10 ++++++ src/core/factorial.ts | 20 ------------ src/core/fibs.ts | 26 ---------------- src/core/modular-exponentiation-bigint.ts | 21 ------------- src/core/order.ts | 37 ----------------------- 6 files changed, 29 insertions(+), 104 deletions(-) create mode 100644 project_euler/common/order.py create mode 100644 project_euler/common/order_test.py delete mode 100644 src/core/factorial.ts delete mode 100644 src/core/fibs.ts delete mode 100644 src/core/modular-exponentiation-bigint.ts delete mode 100644 src/core/order.ts diff --git a/project_euler/common/order.py b/project_euler/common/order.py new file mode 100644 index 00000000..44b6842f --- /dev/null +++ b/project_euler/common/order.py @@ -0,0 +1,19 @@ +import functools +import math +from project_euler.common.divisors import divisors +from project_euler.common.totient import totient + + +@functools.lru_cache(maxsize=None) +def ord(b: int, m: int) -> int: + if math.gcd(b, m) != 1: + raise ValueError("b and m must be coprime") + + phi = totient(m) + ds = divisors(phi) + + for d in ds: + if pow(b, d, m) == 1: + return d + + raise ValueError("b and m must be coprime") diff --git a/project_euler/common/order_test.py b/project_euler/common/order_test.py new file mode 100644 index 00000000..b22f7919 --- /dev/null +++ b/project_euler/common/order_test.py @@ -0,0 +1,10 @@ +from project_euler.common.order import ord + + +def test_ord(): + assert ord(4, 7) == 3 + assert ord(10, 7) == 6 + assert ord(5, 3) == 2 + assert ord(13, 7) == 2 + assert ord(3, 20) == 4 + assert ord(3, 115) == 44 diff --git a/src/core/factorial.ts b/src/core/factorial.ts deleted file mode 100644 index 6e8db775..00000000 --- a/src/core/factorial.ts +++ /dev/null @@ -1,20 +0,0 @@ -// Computes the factorial of a non-negative integer n. -// -// @remarks -// These numbers get big fast, so we return a bigint. -export default function factorial(n: number): bigint { - if (n < 0) { - throw new Error('n must be non-negative'); - } - - if (n === 0 || n === 1) { - return 1n; - } - - let product = 2n; - for (let i = 3n; i <= n; i++) { - product *= i; - } - - return product; -} diff --git a/src/core/fibs.ts b/src/core/fibs.ts deleted file mode 100644 index 604e97a1..00000000 --- a/src/core/fibs.ts +++ /dev/null @@ -1,26 +0,0 @@ -// Computes the Fibonacci numbers up to the given limit. -// -// @remarks -// Uses an iterative algorithm, does not memoize the results, and is not suitable for generating them. -export default function fibs(limit: number): number[] { - if (limit < 1) { - return []; - } - - if (limit === 1) { - return [0]; - } - - const fibs: number[] = [0, 1]; - - while (true) { - const next = fibs[fibs.length - 1] + fibs[fibs.length - 2]; - if (next >= limit) { - break; - } - - fibs.push(next); - } - - return fibs; -} diff --git a/src/core/modular-exponentiation-bigint.ts b/src/core/modular-exponentiation-bigint.ts deleted file mode 100644 index daa7da6a..00000000 --- a/src/core/modular-exponentiation-bigint.ts +++ /dev/null @@ -1,21 +0,0 @@ -// Computes b ** e modulo m. -// -// @remarks -// Works with bigints. -// -// See {@link https://en.wikipedia.org/wiki/Modular_exponentiation}. -// See {@link https://en.wikipedia.org/wiki/Exponentiation_by_squaring}. -export default function mexpt(b: bigint, e: bigint, m: bigint): bigint { - let a = 1n; - - while (e > 0) { - if (e % 2n === 1n) { - a = (a * b) % m; - } - - b = (b * b) % m; - e /= 2n; - } - - return a; -} diff --git a/src/core/order.ts b/src/core/order.ts deleted file mode 100644 index de37a90b..00000000 --- a/src/core/order.ts +++ /dev/null @@ -1,37 +0,0 @@ -import gcd from './gcd'; -import divisors from './divisors'; -import mexpt from './modular-exponentiation'; -import totient from './totient'; - -const memo = new Map(); - -// Computes the multiplicative order of b modulo m. -// -// @remarks -// The multiplicative order of b modulo m is the smallest positive integer d such that b ** d ≡ 1 (mod m). -// -// See {@link https://en.wikipedia.org/wiki/Multiplicative_order}. -export default function ord(b: number, m: number): number { - if (gcd(b, m) !== 1) { - throw new Error('b and m must be coprime'); - } - - // We'd like to memoize based on both b and m, so we concatenate them into a single string. - const key = `${b},${m}`; - if (memo.has(key)) { - return memo.get(key)!; - } - - const phi = totient(m); - const ds = divisors(phi); - - for (const d of ds) { - if (mexpt(b, d, m) === 1) { - memo.set(key, d); - return d; - } - } - - // This shouldn't happen if b and m are coprime. - throw new Error('could not compute ord(b, m)'); -} From 7e5baa2348c8e134499fc4ce31a9a32d3ba284a5 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:25:07 -0700 Subject: [PATCH 18/60] modular tetration --- project_euler/common/modular_tetration.py | 34 +++++++++++++++ .../common/modular_tetration_test.py | 10 +++++ src/core/modular-tetration.ts | 42 ------------------- test/core/factorial.test.ts | 16 ------- test/core/fibs.test.ts | 9 ---- .../modular-exponentiation-bigint.test.ts | 11 ----- test/core/modular-exponentiation.test.ts | 10 ----- test/core/modular-tetration.test.ts | 12 ------ test/core/order.test.ts | 12 ------ 9 files changed, 44 insertions(+), 112 deletions(-) create mode 100644 project_euler/common/modular_tetration.py create mode 100644 project_euler/common/modular_tetration_test.py delete mode 100644 src/core/modular-tetration.ts delete mode 100644 test/core/factorial.test.ts delete mode 100644 test/core/fibs.test.ts delete mode 100644 test/core/modular-exponentiation-bigint.test.ts delete mode 100644 test/core/modular-exponentiation.test.ts delete mode 100644 test/core/modular-tetration.test.ts delete mode 100644 test/core/order.test.ts diff --git a/project_euler/common/modular_tetration.py b/project_euler/common/modular_tetration.py new file mode 100644 index 00000000..3f1fe3a6 --- /dev/null +++ b/project_euler/common/modular_tetration.py @@ -0,0 +1,34 @@ +import math +from project_euler.common.order import ord +from project_euler.common.totient import totient + + +def _f(b: int, e: int, m: int) -> int: + o = ord(b, m) + t = mtetn(b, e - 1, o) + return pow(b, t, m) + + +def _g(b: int, e: int, m: int, d: int) -> int: + n = m // d + t = mtetn(b, e, n) + i = pow(b, totient(n) - 1, n) + u = (t * i) % n + return (b * u) % m + + +def mtetn(b: int, e: int, m: int) -> int: + if m == 1: + return 0 + + if e == 1: + return b % m + + d = math.gcd(b, m) + if d == 1: + return _f(b, e, m) + + if d == m: + return 0 + + return _g(b, e, m, d) diff --git a/project_euler/common/modular_tetration_test.py b/project_euler/common/modular_tetration_test.py new file mode 100644 index 00000000..8ddeb0b8 --- /dev/null +++ b/project_euler/common/modular_tetration_test.py @@ -0,0 +1,10 @@ +from project_euler.common.modular_tetration import mtetn + + +def test_modular_tetration(): + assert mtetn(3, 1, 2) == 3**1 % 2 + assert mtetn(3, 2, 20) == 3**3 % 20 + assert mtetn(3, 3, 345) == 312 + assert mtetn(5, 2, 7) == 5**5 % 7 + assert mtetn(7, 4, 13) == 6 + assert mtetn(10, 2, 6) == 10**10 % 6 diff --git a/src/core/modular-tetration.ts b/src/core/modular-tetration.ts deleted file mode 100644 index ac512c2e..00000000 --- a/src/core/modular-tetration.ts +++ /dev/null @@ -1,42 +0,0 @@ -import gcd from './gcd'; -import mexpt from './modular-exponentiation'; -import ord from './order'; -import totient from './totient'; - -// Computes the modular tetration of b to the power of e modulo m. -// -// See {@link https://en.wikipedia.org/wiki/Tetration}. -export default function mtetn(b: number, e: number, m: number): number { - function f(b: number, e: number, m: number): number { - const o = ord(b, m); - const t = mtetn(b, e - 1, o); - return mexpt(b, t, m); - } - - function g(b: number, e: number, m: number, d: number): number { - const n = Math.floor(m / d); - const t = mtetn(b, e, n); - const i = mexpt(b, totient(n) - 1, n); - const u = (t * i) % n; - return (b * u) % m; - } - - if (m === 1) { - return 0; - } - - if (e === 1) { - return b % m; - } - - const d = gcd(b, m); - if (d === 1) { - return f(b, e, m); - } - - if (d === m) { - return 0; - } - - return g(b, e, m, d); -} diff --git a/test/core/factorial.test.ts b/test/core/factorial.test.ts deleted file mode 100644 index 3269fa5f..00000000 --- a/test/core/factorial.test.ts +++ /dev/null @@ -1,16 +0,0 @@ -import _ from 'lodash'; -import factorial from '../../src/core/factorial'; - -describe('factorial', () => { - // Jest can't compare bigints very well, so we have to convert them to strings. - test('factorial', async () => { - expect(_factorial(0)).toBe('1'); - expect(_factorial(1)).toBe('1'); - expect(_factorial(5)).toBe('120'); - expect(_factorial(10)).toBe('3628800'); - }); - - function _factorial(n: number): string { - return _.toString(factorial(n)); - } -}); diff --git a/test/core/fibs.test.ts b/test/core/fibs.test.ts deleted file mode 100644 index 944a2603..00000000 --- a/test/core/fibs.test.ts +++ /dev/null @@ -1,9 +0,0 @@ -import fibs from '../../src/core/fibs'; - -describe('fibs', () => { - test('fibs', async () => { - expect(fibs(0)).toStrictEqual([]); - expect(fibs(1)).toStrictEqual([0]); - expect(fibs(10)).toStrictEqual([0, 1, 1, 2, 3, 5, 8]); - }); -}); diff --git a/test/core/modular-exponentiation-bigint.test.ts b/test/core/modular-exponentiation-bigint.test.ts deleted file mode 100644 index 3329363e..00000000 --- a/test/core/modular-exponentiation-bigint.test.ts +++ /dev/null @@ -1,11 +0,0 @@ -import _ from 'lodash'; -import mexpt from '../../src/core/modular-exponentiation-bigint'; - -describe('modular exponentiation with bigint', () => { - test('mexpt', async () => { - expect(_.toString(mexpt(3n, 1n, 2n))).toBe('1'); - expect(_.toString(mexpt(3n, 0n, 9n))).toBe('1'); - expect(_.toString(mexpt(5n, 3n, 13n))).toBe('8'); - expect(_.toString(mexpt(4n, 13n, 497n))).toBe('445'); - }); -}); diff --git a/test/core/modular-exponentiation.test.ts b/test/core/modular-exponentiation.test.ts deleted file mode 100644 index 24fe06bb..00000000 --- a/test/core/modular-exponentiation.test.ts +++ /dev/null @@ -1,10 +0,0 @@ -import mexpt from '../../src/core/modular-exponentiation'; - -describe('modular exponentiation', () => { - test('mexpt', async () => { - expect(mexpt(3, 1, 2)).toBe(1); - expect(mexpt(3, 0, 9)).toBe(1); - expect(mexpt(5, 3, 13)).toBe(8); - expect(mexpt(4, 13, 497)).toBe(445); - }); -}); diff --git a/test/core/modular-tetration.test.ts b/test/core/modular-tetration.test.ts deleted file mode 100644 index 7c34d7cc..00000000 --- a/test/core/modular-tetration.test.ts +++ /dev/null @@ -1,12 +0,0 @@ -import mtetn from '../../src/core/modular-tetration'; - -describe('modular tetration', () => { - test('mtetn', async () => { - expect(mtetn(3, 1, 2)).toBe(3 ** 1 % 2); - expect(mtetn(3, 2, 20)).toBe(3 ** 3 % 20); - expect(mtetn(3, 3, 345)).toBe(312); - expect(mtetn(5, 2, 7)).toBe(5 ** 5 % 7); - expect(mtetn(7, 4, 13)).toBe(6); - expect(mtetn(10, 2, 6)).toBe(10 ** 10 % 6); - }); -}); diff --git a/test/core/order.test.ts b/test/core/order.test.ts deleted file mode 100644 index 5a80753b..00000000 --- a/test/core/order.test.ts +++ /dev/null @@ -1,12 +0,0 @@ -import ord from '../../src/core/order'; - -describe('multiplicative order', () => { - test('order modulo m', async () => { - expect(ord(4, 7)).toBe(3); - expect(ord(10, 7)).toBe(6); - expect(ord(5, 3)).toBe(2); - expect(ord(13, 7)).toBe(2); - expect(ord(3, 20)).toBe(4); - expect(ord(3, 115)).toBe(44); - }); -}); From 753033759cdfe8292658f49dabe157394c591c0f Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:29:32 -0700 Subject: [PATCH 19/60] use functools --- project_euler/common/totient.py | 5 +---- 1 file changed, 1 insertion(+), 4 deletions(-) diff --git a/project_euler/common/totient.py b/project_euler/common/totient.py index c7ced947..dd78c5da 100644 --- a/project_euler/common/totient.py +++ b/project_euler/common/totient.py @@ -9,8 +9,5 @@ def totient(n: int) -> int: return 0 ps = prime_factors(n) - phi = n - for p in ps: - phi *= 1 - 1 / p - + phi = functools.reduce(lambda acc, p: acc * (1 - 1 / p), ps, n) return math.floor(phi) From b5c0953b803117f99a7ec217bda7db104b676723 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:36:49 -0700 Subject: [PATCH 20/60] 2py --- project_euler/2.py | 24 ++++++++++++++++++++++++ src/48.ts | 14 -------------- 2 files changed, 24 insertions(+), 14 deletions(-) create mode 100644 project_euler/2.py delete mode 100644 src/48.ts diff --git a/project_euler/2.py b/project_euler/2.py new file mode 100644 index 00000000..1602d6d6 --- /dev/null +++ b/project_euler/2.py @@ -0,0 +1,24 @@ +from itertools import takewhile +from typing import cast +from toolz import curried, pipe + + +def fibs(): + a, b = 0, 1 + while True: + yield a + a, b = b, a + b + + +def run(limit: int) -> int: + result = pipe( + fibs(), + lambda xs: takewhile(lambda x: x < limit, xs), + curried.filter(lambda x: x % 2 == 0), + curried.reduce(lambda a, b: a + b), + ) + return cast(int, result) + + +def test_run(): + assert run(4_000_000) == 4613732 diff --git a/src/48.ts b/src/48.ts deleted file mode 100644 index 0156e6a4..00000000 --- a/src/48.ts +++ /dev/null @@ -1,14 +0,0 @@ -import _ from 'lodash'; -import mexpt from './core/modular-exponentiation-bigint'; - -// Computes the last ten digits of the series 1^1 + 2^2 + 3^3 + ... + 1000^1000. -// -// See {@link https://projecteuler.net/problem=48}. -export default function compute(): bigint { - // This modulus will give use the last 10 digits. - const mod = BigInt(10 ** 10); - return _.range(1, 1001) - .map(BigInt) - .map(b => mexpt(b, b, mod)) - .reduce((a, b) => (a + b) % mod, 0n); -} From 9bcd377c7a0b0d8c4553b99512a0cd5ae7f2e37f Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:41:41 -0700 Subject: [PATCH 21/60] p 1 through 4 --- project_euler/1.py | 4 ++-- project_euler/2.py | 5 +++++ project_euler/3.py | 14 ++++++++++++++ project_euler/4.py | 23 +++++++++++++++++++++++ 4 files changed, 44 insertions(+), 2 deletions(-) create mode 100644 project_euler/3.py create mode 100644 project_euler/4.py diff --git a/project_euler/1.py b/project_euler/1.py index b23a4f54..3d805243 100644 --- a/project_euler/1.py +++ b/project_euler/1.py @@ -1,6 +1,6 @@ -# Problem 1: Multiple of 3 and 5. +# Problem 1: Multiple of 3 and 5 # -# Computes the sum of all the multiples of 3 or 5 below the given limit. +# Find the sum of all the multiples of 3 or 5 below 1000. # # See https://projecteuler.net/problem=1 def run(limit: int) -> int: diff --git a/project_euler/2.py b/project_euler/2.py index 1602d6d6..bea596fc 100644 --- a/project_euler/2.py +++ b/project_euler/2.py @@ -1,3 +1,8 @@ +# Problem 2: Even Fibonacci Numbers +# +# Find the sum of all the even Fibonacci numbers below 4_000_000. +# +# See https://projecteuler.net/problem=2. from itertools import takewhile from typing import cast from toolz import curried, pipe diff --git a/project_euler/3.py b/project_euler/3.py new file mode 100644 index 00000000..7bd1a8fe --- /dev/null +++ b/project_euler/3.py @@ -0,0 +1,14 @@ +# Problem 3: Large Prime Factor +# +# Find the largest prime factor of a 600851475143. +# +# See https://projecteuler.net/problem=3 +from project_euler.common.prime_factors import prime_factors + + +def run(limit: int) -> int: + return max(prime_factors(limit)) + + +def test_run(): + assert run(600851475143) == 6857 \ No newline at end of file diff --git a/project_euler/4.py b/project_euler/4.py new file mode 100644 index 00000000..942b164a --- /dev/null +++ b/project_euler/4.py @@ -0,0 +1,23 @@ +# Problem 4: Largest Palindrome Product +# +# Find the largest palindrome made from the product of two 3-digit numbers. +# +# See https://projecteuler.net/problem=4 +def is_palindrome(n): + return str(n) == str(n)[::-1] + +def run(): + max_product = 0 + + # To speed up the search, we can limit the search space and search backwards. We want to find the largest + # palindrome, so we start with the largest numbers first. + for i in range(999, 99, -1): + for j in range(999, 99, -1): + n = i * j + if is_palindrome(n) and n > max_product: + max_product = n + + return max_product + +def test_run(): + assert run() == 906609 \ No newline at end of file From 34818d297ccc0c72e9a5e6d4c08a3187357c3fe4 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:42:40 -0700 Subject: [PATCH 22/60] reformatted --- project_euler/2.py | 2 +- project_euler/3.py | 4 ++-- project_euler/4.py | 4 +++- 3 files changed, 6 insertions(+), 4 deletions(-) diff --git a/project_euler/2.py b/project_euler/2.py index bea596fc..c0d062ab 100644 --- a/project_euler/2.py +++ b/project_euler/2.py @@ -1,5 +1,5 @@ # Problem 2: Even Fibonacci Numbers -# +# # Find the sum of all the even Fibonacci numbers below 4_000_000. # # See https://projecteuler.net/problem=2. diff --git a/project_euler/3.py b/project_euler/3.py index 7bd1a8fe..ad686e23 100644 --- a/project_euler/3.py +++ b/project_euler/3.py @@ -1,4 +1,4 @@ -# Problem 3: Large Prime Factor +# Problem 3: Large Prime Factor # # Find the largest prime factor of a 600851475143. # @@ -11,4 +11,4 @@ def run(limit: int) -> int: def test_run(): - assert run(600851475143) == 6857 \ No newline at end of file + assert run(600851475143) == 6857 diff --git a/project_euler/4.py b/project_euler/4.py index 942b164a..cec0e4ad 100644 --- a/project_euler/4.py +++ b/project_euler/4.py @@ -6,6 +6,7 @@ def is_palindrome(n): return str(n) == str(n)[::-1] + def run(): max_product = 0 @@ -19,5 +20,6 @@ def run(): return max_product + def test_run(): - assert run() == 906609 \ No newline at end of file + assert run() == 906609 From 40a67ab3d0077d84f87bf073017118450f93a767 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:44:53 -0700 Subject: [PATCH 23/60] removed --- project_euler/188.py | 14 ++++++++++ project_euler/common/modular_tetration.py | 6 ++--- .../common/modular_tetration_test.py | 14 +++++----- src/188.ts | 5 ---- src/2.ts | 10 ------- src/3.ts | 8 ------ src/4.ts | 26 ------------------- 7 files changed, 24 insertions(+), 59 deletions(-) create mode 100644 project_euler/188.py delete mode 100644 src/188.ts delete mode 100644 src/2.ts delete mode 100644 src/3.ts delete mode 100644 src/4.ts diff --git a/project_euler/188.py b/project_euler/188.py new file mode 100644 index 00000000..c3fb2663 --- /dev/null +++ b/project_euler/188.py @@ -0,0 +1,14 @@ +# Problem 188: Hyperexponentiation +# +# Find the last 8 digits of 1777^^1855. +# +# See https://projecteuler.net/problem=188 +from project_euler.common.modular_tetration import hpow + + +def run(): + return hpow(1777, 1855, 10**8) + + +def test_run(): + assert run() == 95962097 \ No newline at end of file diff --git a/project_euler/common/modular_tetration.py b/project_euler/common/modular_tetration.py index 3f1fe3a6..abe8de65 100644 --- a/project_euler/common/modular_tetration.py +++ b/project_euler/common/modular_tetration.py @@ -5,19 +5,19 @@ def _f(b: int, e: int, m: int) -> int: o = ord(b, m) - t = mtetn(b, e - 1, o) + t = hpow(b, e - 1, o) return pow(b, t, m) def _g(b: int, e: int, m: int, d: int) -> int: n = m // d - t = mtetn(b, e, n) + t = hpow(b, e, n) i = pow(b, totient(n) - 1, n) u = (t * i) % n return (b * u) % m -def mtetn(b: int, e: int, m: int) -> int: +def hpow(b: int, e: int, m: int) -> int: if m == 1: return 0 diff --git a/project_euler/common/modular_tetration_test.py b/project_euler/common/modular_tetration_test.py index 8ddeb0b8..dc91ae11 100644 --- a/project_euler/common/modular_tetration_test.py +++ b/project_euler/common/modular_tetration_test.py @@ -1,10 +1,10 @@ -from project_euler.common.modular_tetration import mtetn +from project_euler.common.modular_tetration import hpow def test_modular_tetration(): - assert mtetn(3, 1, 2) == 3**1 % 2 - assert mtetn(3, 2, 20) == 3**3 % 20 - assert mtetn(3, 3, 345) == 312 - assert mtetn(5, 2, 7) == 5**5 % 7 - assert mtetn(7, 4, 13) == 6 - assert mtetn(10, 2, 6) == 10**10 % 6 + assert hpow(3, 1, 2) == 3**1 % 2 + assert hpow(3, 2, 20) == 3**3 % 20 + assert hpow(3, 3, 345) == 312 + assert hpow(5, 2, 7) == 5**5 % 7 + assert hpow(7, 4, 13) == 6 + assert hpow(10, 2, 6) == 10**10 % 6 diff --git a/src/188.ts b/src/188.ts deleted file mode 100644 index 0ec66f9f..00000000 --- a/src/188.ts +++ /dev/null @@ -1,5 +0,0 @@ -import mtetn from './core/modular-tetration'; - -export default function compute() { - return mtetn(1777, 1855, 1e8); -} diff --git a/src/2.ts b/src/2.ts deleted file mode 100644 index e3592af8..00000000 --- a/src/2.ts +++ /dev/null @@ -1,10 +0,0 @@ -import fibs from './core/fibs'; - -// Computes the sum of all the even Fibonacci numbers below the given limit. -// -// See {@link https://projecteuler.net/problem=2}. -export default function compute(limit: number) { - return fibs(limit) - .filter(n => n % 2 === 0) - .reduce((a, b) => a + b, 0); -} diff --git a/src/3.ts b/src/3.ts deleted file mode 100644 index ab9dc53a..00000000 --- a/src/3.ts +++ /dev/null @@ -1,8 +0,0 @@ -import primeFactors from './core/prime-factors'; - -// Computes the largest prime factor of a given number. -// -// See {@link https://projecteuler.net/problem=3}. -export default function compute(n: number) { - return Math.max(...primeFactors(n)); -} diff --git a/src/4.ts b/src/4.ts deleted file mode 100644 index f4fd8ac1..00000000 --- a/src/4.ts +++ /dev/null @@ -1,26 +0,0 @@ -import _ from 'lodash'; - -// Finds the largest palindrome made from the product of two 3-digit numbers. -// -// See {@link https://projecteuler.net/problem=4}. -export default function compute() { - let max = 0; - - // To speed up the search, we can limit the search space and search backwards. We want to find the largest - // palindrome, so we start with the largest numbers first. - for (let i = 999; i > 99; i--) { - for (let j = 999; j > 99; j--) { - const n = i * j; - if (isPalindrome(n) && n > max) { - max = n; - } - } - } - - return max; -} - -function isPalindrome(n: number) { - const s = _.toString(n); - return s === s.split('').reverse().join(''); -} From 4900b545b8c596b8c098adc71b0fdbea9ade21c5 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:49:08 -0700 Subject: [PATCH 24/60] problem 5 --- project_euler/5.py | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 project_euler/5.py diff --git a/project_euler/5.py b/project_euler/5.py new file mode 100644 index 00000000..61c9f731 --- /dev/null +++ b/project_euler/5.py @@ -0,0 +1,15 @@ +# Problem 5: Smallest Multiple +# +# Find the smallest positive number that is evenly divisible by all of the numbers from 1 to 20. +# +# See https://projecteuler.net/problem=5 +from functools import reduce +from math import lcm + + +def run(limit: int) -> int: + return reduce(lcm, range(1, limit + 1)) + + +def test_run(): + assert run(20) == 232792560 From c22777a30a7e2fab601ff18f2e3d2a11176092c1 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 12:57:17 -0700 Subject: [PATCH 25/60] 5 --- project_euler/188.py | 2 +- project_euler/6.py | 28 ++++++++++++++++++++++++++++ src/5.ts | 9 --------- src/6.ts | 13 ------------- 4 files changed, 29 insertions(+), 23 deletions(-) create mode 100644 project_euler/6.py delete mode 100644 src/5.ts delete mode 100644 src/6.ts diff --git a/project_euler/188.py b/project_euler/188.py index c3fb2663..f7a6e4b3 100644 --- a/project_euler/188.py +++ b/project_euler/188.py @@ -11,4 +11,4 @@ def run(): def test_run(): - assert run() == 95962097 \ No newline at end of file + assert run() == 95962097 diff --git a/project_euler/6.py b/project_euler/6.py new file mode 100644 index 00000000..5826baea --- /dev/null +++ b/project_euler/6.py @@ -0,0 +1,28 @@ +# Problem 6: Sum Square Difference +# +# Find the difference between the sum of the square of the first one hundred natural numbers and the square of the sum. +# +# See https://projecteuler.net/problem=6 +from typing import cast +from toolz import curried, pipe + + +def run() -> int: + a = pipe( + range(101), + curried.map(lambda n: n**2), + curried.reduce(lambda a, b: a + b), + ) + b = pipe( + range(101), + curried.reduce(lambda a, b: a + b), + lambda n: n**2, + ) + + a = cast(int, a) + b = cast(int, b) + return b - a + + +def test_run(): + assert run() == 25164150 diff --git a/src/5.ts b/src/5.ts deleted file mode 100644 index 6acb2197..00000000 --- a/src/5.ts +++ /dev/null @@ -1,9 +0,0 @@ -import _ from 'lodash'; -import lcm from './core/lcm'; - -// Computes the smallest number that can be divided by each of the numbers from 1 to n without any remainder. -// -// See {@link https://projecteuler.net/problem=5}. -export default function compute(n: number) { - return _.range(1, n + 1).reduce(lcm, 1); -} diff --git a/src/6.ts b/src/6.ts deleted file mode 100644 index 2ba9a3d9..00000000 --- a/src/6.ts +++ /dev/null @@ -1,13 +0,0 @@ -import _ from 'lodash'; - -// Computes the difference between the sum of the squares of the first n natural numbers and the square of the sum of -// the first n natural numbers. -// -// See {@link https://projecteuler.net/problem=6}. -export default function compute(limit: number) { - const a = _.range(limit + 1) - .map(n => n ** 2) - .reduce((a, b) => a + b, 0); - const b = _.range(limit + 1).reduce((a, b) => a + b, 0) ** 2; - return b - a; -} From 015f0300be0aa9ddf6255f5fe12ce86b2a805f1b Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 13:18:37 -0700 Subject: [PATCH 26/60] poetry for mac --- poetry.lock | 22 ++++++++++++++++++++-- 1 file changed, 20 insertions(+), 2 deletions(-) diff --git a/poetry.lock b/poetry.lock index bfa6277d..b9236bbb 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,4 +1,4 @@ -# This file is automatically @generated by Poetry 1.8.5 and should not be changed by hand. +# This file is automatically @generated by Poetry 2.1.1 and should not be changed by hand. [[package]] name = "black" @@ -6,6 +6,7 @@ version = "25.1.0" description = "The uncompromising code formatter." optional = false python-versions = ">=3.9" +groups = ["dev"] files = [ {file = "black-25.1.0-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:759e7ec1e050a15f89b770cefbf91ebee8917aac5c20483bc2d80a6c3a04df32"}, {file = "black-25.1.0-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:0e519ecf93120f34243e6b0054db49c00a35f84f195d5bce7e9f5cfc578fc2da"}, @@ -50,6 +51,7 @@ version = "8.1.8" description = "Composable command line interface toolkit" optional = false python-versions = ">=3.7" +groups = ["dev"] files = [ {file = "click-8.1.8-py3-none-any.whl", hash = "sha256:63c132bbbed01578a06712a2d1f497bb62d9c1c0d329b7903a866228027263b2"}, {file = "click-8.1.8.tar.gz", hash = "sha256:ed53c9d8990d83c2a27deae68e4ee337473f6330c040a31d4225c9574d16096a"}, @@ -64,6 +66,8 @@ version = "0.4.6" description = "Cross-platform colored terminal text." optional = false python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7" +groups = ["dev"] +markers = "platform_system == \"Windows\" or sys_platform == \"win32\"" files = [ {file = "colorama-0.4.6-py2.py3-none-any.whl", hash = "sha256:4f1d9991f5acc0ca119f9d443620b77f9d6b33703e51011c16baf57afb285fc6"}, {file = "colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44"}, @@ -75,6 +79,7 @@ version = "2.1.0" description = "brain-dead simple config-ini parsing" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "iniconfig-2.1.0-py3-none-any.whl", hash = "sha256:9deba5723312380e77435581c6bf4935c94cbfab9b1ed33ef8d238ea168eb760"}, {file = "iniconfig-2.1.0.tar.gz", hash = "sha256:3abbd2e30b36733fee78f9c7f7308f2d0050e88f0087fd25c2645f63c773e1c7"}, @@ -86,6 +91,7 @@ version = "6.0.1" description = "A Python utility / library to sort Python imports." optional = false python-versions = ">=3.9.0" +groups = ["dev"] files = [ {file = "isort-6.0.1-py3-none-any.whl", hash = "sha256:2dc5d7f65c9678d94c88dfc29161a320eec67328bc97aad576874cb4be1e9615"}, {file = "isort-6.0.1.tar.gz", hash = "sha256:1cb5df28dfbc742e490c5e41bad6da41b805b0a8be7bc93cd0fb2a8a890ac450"}, @@ -101,6 +107,7 @@ version = "1.0.0" description = "Type system extensions for programs checked with the mypy type checker." optional = false python-versions = ">=3.5" +groups = ["dev"] files = [ {file = "mypy_extensions-1.0.0-py3-none-any.whl", hash = "sha256:4392f6c0eb8a5668a69e23d168ffa70f0be9ccfd32b5cc2d26a34ae5b844552d"}, {file = "mypy_extensions-1.0.0.tar.gz", hash = "sha256:75dbf8955dc00442a438fc4d0666508a9a97b6bd41aa2f0ffe9d2f2725af0782"}, @@ -112,6 +119,7 @@ version = "1.9.1" description = "Node.js virtual environment builder" optional = false python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7" +groups = ["dev"] files = [ {file = "nodeenv-1.9.1-py2.py3-none-any.whl", hash = "sha256:ba11c9782d29c27c70ffbdda2d7415098754709be8a7056d79a737cd901155c9"}, {file = "nodeenv-1.9.1.tar.gz", hash = "sha256:6ec12890a2dab7946721edbfbcd91f3319c6ccc9aec47be7c7e6b7011ee6645f"}, @@ -123,6 +131,7 @@ version = "2.2.4" description = "Fundamental package for array computing in Python" optional = false python-versions = ">=3.10" +groups = ["main"] files = [ {file = "numpy-2.2.4-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:8146f3550d627252269ac42ae660281d673eb6f8b32f113538e0cc2a9aed42b9"}, {file = "numpy-2.2.4-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:e642d86b8f956098b564a45e6f6ce68a22c2c97a04f5acd3f221f57b8cb850ae"}, @@ -187,6 +196,7 @@ version = "24.2" description = "Core utilities for Python packages" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "packaging-24.2-py3-none-any.whl", hash = "sha256:09abb1bccd265c01f4a3aa3f7a7db064b36514d2cba19a2f694fe6150451a759"}, {file = "packaging-24.2.tar.gz", hash = "sha256:c228a6dc5e932d346bc5739379109d49e8853dd8223571c7c5b55260edc0b97f"}, @@ -198,6 +208,7 @@ version = "0.12.1" description = "Utility library for gitignore style pattern matching of file paths." optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "pathspec-0.12.1-py3-none-any.whl", hash = "sha256:a0d503e138a4c123b27490a4f7beda6a01c6f288df0e4a8b79c7eb0dc7b4cc08"}, {file = "pathspec-0.12.1.tar.gz", hash = "sha256:a482d51503a1ab33b1c67a6c3813a26953dbdc71c31dacaef9a838c4e29f5712"}, @@ -209,6 +220,7 @@ version = "4.3.7" description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`." optional = false python-versions = ">=3.9" +groups = ["dev"] files = [ {file = "platformdirs-4.3.7-py3-none-any.whl", hash = "sha256:a03875334331946f13c549dbd8f4bac7a13a50a895a0eb1e8c6a8ace80d40a94"}, {file = "platformdirs-4.3.7.tar.gz", hash = "sha256:eb437d586b6a0986388f0d6f74aa0cde27b48d0e3d66843640bfb6bdcdb6e351"}, @@ -225,6 +237,7 @@ version = "1.5.0" description = "plugin and hook calling mechanisms for python" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "pluggy-1.5.0-py3-none-any.whl", hash = "sha256:44e1ad92c8ca002de6377e165f3e0f1be63266ab4d554740532335b9d75ea669"}, {file = "pluggy-1.5.0.tar.gz", hash = "sha256:2cffa88e94fdc978c4c574f15f9e59b7f4201d439195c3715ca9e2486f1d0cf1"}, @@ -240,6 +253,7 @@ version = "1.1.397" description = "Command line wrapper for pyright" optional = false python-versions = ">=3.7" +groups = ["dev"] files = [ {file = "pyright-1.1.397-py3-none-any.whl", hash = "sha256:2e93fba776e714a82b085d68f8345b01f91ba43e1ab9d513e79b70fc85906257"}, {file = "pyright-1.1.397.tar.gz", hash = "sha256:07530fd65a449e4b0b28dceef14be0d8e0995a7a5b1bb2f3f897c3e548451ce3"}, @@ -260,6 +274,7 @@ version = "8.3.5" description = "pytest: simple powerful testing with Python" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "pytest-8.3.5-py3-none-any.whl", hash = "sha256:c69214aa47deac29fad6c2a4f590b9c4a9fdb16a403176fe154b79c0b4d4d820"}, {file = "pytest-8.3.5.tar.gz", hash = "sha256:f4efe70cc14e511565ac476b57c279e12a855b11f48f212af1080ef2263d3845"}, @@ -280,6 +295,7 @@ version = "0.9.10" description = "An extremely fast Python linter and code formatter, written in Rust." optional = false python-versions = ">=3.7" +groups = ["dev"] files = [ {file = "ruff-0.9.10-py3-none-linux_armv6l.whl", hash = "sha256:eb4d25532cfd9fe461acc83498361ec2e2252795b4f40b17e80692814329e42d"}, {file = "ruff-0.9.10-py3-none-macosx_10_12_x86_64.whl", hash = "sha256:188a6638dab1aa9bb6228a7302387b2c9954e455fb25d6b4470cb0641d16759d"}, @@ -307,6 +323,7 @@ version = "1.0.0" description = "List processing tools and functional utilities" optional = false python-versions = ">=3.8" +groups = ["main"] files = [ {file = "toolz-1.0.0-py3-none-any.whl", hash = "sha256:292c8f1c4e7516bf9086f8850935c799a874039c8bcf959d47b600e4c44a6236"}, {file = "toolz-1.0.0.tar.gz", hash = "sha256:2c86e3d9a04798ac556793bced838816296a2f085017664e4995cb40a1047a02"}, @@ -318,12 +335,13 @@ version = "4.12.2" description = "Backported and Experimental Type Hints for Python 3.8+" optional = false python-versions = ">=3.8" +groups = ["dev"] files = [ {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"}, {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"}, ] [metadata] -lock-version = "2.0" +lock-version = "2.1" python-versions = "^3.13" content-hash = "8a42556126d0dacc83e2dc95cabcf299ecaf51ed42b8416d66d81e5049ba77af" From cedd23498835e50c9007a9cd536f684193385cd6 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 14:21:11 -0700 Subject: [PATCH 27/60] 7 --- project_euler/7.py | 15 +++++++++++++++ 1 file changed, 15 insertions(+) create mode 100644 project_euler/7.py diff --git a/project_euler/7.py b/project_euler/7.py new file mode 100644 index 00000000..c9bd5f3f --- /dev/null +++ b/project_euler/7.py @@ -0,0 +1,15 @@ +# Problem 7: 10001st Prime +# +# What is the 10001st prime number? +# +# See https://projecteuler.net/problem=7 +from project_euler.common.primes import read_primes + + +def run(n: int) -> int: + ps = read_primes() + return ps[n - 1] + + +def test_run(): + assert run(10001) == 104743 \ No newline at end of file From bbc6cc4e5193132b1b0c36fb95e5eebbd798de69 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 14:45:44 -0700 Subject: [PATCH 28/60] 8 --- project_euler/8.py | 58 ++++++++++++++++++++++++++++++++++++++++++++++ src/7.ts | 12 ---------- 2 files changed, 58 insertions(+), 12 deletions(-) create mode 100644 project_euler/8.py delete mode 100644 src/7.ts diff --git a/project_euler/8.py b/project_euler/8.py new file mode 100644 index 00000000..74c7af75 --- /dev/null +++ b/project_euler/8.py @@ -0,0 +1,58 @@ +# Problem 8: Largest Product in a Series +# +# Find the thirteen adjacent digits in the 1000 digit number that have the greatest product. What is the value of this +# product? +# +# See https://projecteuler.net/problem=8 +from pathlib import Path + + +def run(window: int) -> int: + file = Path(__file__).parent / "data" / "8.txt" + data = "".join(file.read_text().split("\n")) + + # Can be solved with a sliding window algorithm. We just have to take care to note the number of zeroes in the + # window; if a window has any zeroes in it, thet product of that window will be zero. At each step, we only compute + # the product if we have no zeroes in the window. + zeroes = 0 + max_product = 0 + product = 1 + + for i in range(len(data) - window): + # Create our window if we haven't seen enough elements. + if i < window: + digit = int(data[i]) + if digit == 0: + zeroes += 1 + continue + + product *= digit + if zeroes == 0: + max_product = max(max_product, product) + + continue + + # Otherwise, slide the window through the rest of the data. + incoming = data[i] + outgoing = data[i - window] + + # Multiply the product by the incoming digit if it's non-zero. + if incoming != "0": + product *= int(incoming) + else: + zeroes += 1 + + # Divide the product by the outgoing digit if it's non-zero. + if outgoing != "0": + product /= int(outgoing) + else: + zeroes -= 1 + + # Update max product only if there are no zeros in the current window. + if zeroes == 0: + max_product = max(max_product, product) + + return max_product + +def test_run(): + assert run(13) == 23514624000 \ No newline at end of file diff --git a/src/7.ts b/src/7.ts deleted file mode 100644 index 9c13001f..00000000 --- a/src/7.ts +++ /dev/null @@ -1,12 +0,0 @@ -import primes from './core/primes'; - -// Computes the nth prime number. -// -// @remarks -// -// Problem cheats. Just uses a precomputed list of prime numbers. -// -// See {@link https://projecteuler.net/problem=7}. -export function compute(n: number) { - return primes()[n - 1]; -} From e6977d72eb7869ce7b50d69b914a8a4be1453659 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 14:50:26 -0700 Subject: [PATCH 29/60] 9 --- project_euler/9.py | 23 +++++++++++++++++ src/8.ts | 63 ---------------------------------------------- 2 files changed, 23 insertions(+), 63 deletions(-) create mode 100644 project_euler/9.py delete mode 100644 src/8.ts diff --git a/project_euler/9.py b/project_euler/9.py new file mode 100644 index 00000000..2379f37b --- /dev/null +++ b/project_euler/9.py @@ -0,0 +1,23 @@ +# Problem 9: Special Pythagorean Triplet +# +# There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product a * b * c. +# +# See https://projecteuler.net/problem=9 +def run(limit: int) -> int: + # Limit search space for a; since b and c are greater than a, the maximum value for a is 1/3 of the target. + a_max = limit // 3 + for a in range(1, a_max): + # Limit search space for b; since c is greater than b, the maximum value for b is half the remaining value. + b_max = (limit -a ) // 2 + for b in range(a + 1, b_max): + c = limit - a - b + + if a * a + b * b == c * c: + return a * b * c + + raise ValueError("no triplet found") + + +def test_run(): + assert run(1000) == 31875000 + diff --git a/src/8.ts b/src/8.ts deleted file mode 100644 index d452cccf..00000000 --- a/src/8.ts +++ /dev/null @@ -1,63 +0,0 @@ -import _ from 'lodash'; -import slurp from './core/slurp'; - -// Compute the largest product of of `window` consecutive digits in the given data. -// -// @remarks -// -// Can be solved with a sliding window algorithm. We just have to take care to note the number of zeroes in the window; -// if a window has any zeroes in it, thet product of that window will be zero. At each step, we only compute the -// product if we have no zeroes in the window. -// -// See {@link https://projecteuler.net/problem=8}. -export default function compute(window: number): number { - const data = slurp('8.txt').split('\n').join(''); - - // Keep a running tally of zeroes encountered in the window. Every time an incoming digit is a zero, we'll increment - // the count. Every time an outgoing digit is a zero, we'll decrement the count. - let zeroes = 0; - let max = 0; - let product = 1; - - // Create the initial window and update the product. - for (let i = 0; i < window; i++) { - const digit = _.toNumber(data[i]); - if (digit === 0) { - zeroes++; - continue; - } - - product *= digit; - } - - if (zeroes === 0) { - max = product; - } - - // Slide the window through the rest of the data. - for (let i = window; i < data.length; i++) { - const incoming = _.toNumber(data[i]); - const outgoing = _.toNumber(data[i - window]); - - // Multiply the product by the incoming digit if it's non-zero. - if (incoming !== 0) { - product *= incoming; - } else { - zeroes++; - } - - // Divide the product by the outgoing digit if it's non-zero. - if (outgoing !== 0) { - product /= outgoing; - } else { - zeroes--; - } - - // Update max product only if there are no zeros in the current window. - if (zeroes === 0) { - max = Math.max(max, product); - } - } - - return max; -} From 6151313a7e795a8ed0be0b07a5591e7a36077452 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 15:07:25 -0700 Subject: [PATCH 30/60] 10 --- project_euler/10.py | 11 + project_euler/7.py | 2 +- project_euler/8.py | 5 +- project_euler/9.py | 13 +- project_euler/common/primes.py | 6 +- project_euler/data/primes.txt | 270015 ++++++++++++++++++++++++++++++ src/10.ts | 10 - src/9.ts | 23 - 8 files changed, 270039 insertions(+), 46 deletions(-) create mode 100644 project_euler/10.py delete mode 100644 src/10.ts delete mode 100644 src/9.ts diff --git a/project_euler/10.py b/project_euler/10.py new file mode 100644 index 00000000..44e5272c --- /dev/null +++ b/project_euler/10.py @@ -0,0 +1,11 @@ +# Problem 10: Summation of Primes +# +# Find the sum of all the primes below two million. +# +# See https://projecteuler.net/problem=10 +from project_euler.common.primes import read_primes + + +def run(limit: int) -> int: + ps = read_primes() + return sum(p for p in ps if p < limit) diff --git a/project_euler/7.py b/project_euler/7.py index c9bd5f3f..ac48b6fc 100644 --- a/project_euler/7.py +++ b/project_euler/7.py @@ -12,4 +12,4 @@ def run(n: int) -> int: def test_run(): - assert run(10001) == 104743 \ No newline at end of file + assert run(10001) == 104743 diff --git a/project_euler/8.py b/project_euler/8.py index 74c7af75..8b4dad92 100644 --- a/project_euler/8.py +++ b/project_euler/8.py @@ -52,7 +52,8 @@ def run(window: int) -> int: if zeroes == 0: max_product = max(max_product, product) - return max_product + return int(max_product) + def test_run(): - assert run(13) == 23514624000 \ No newline at end of file + assert run(13) == 23514624000 diff --git a/project_euler/9.py b/project_euler/9.py index 2379f37b..84813cb9 100644 --- a/project_euler/9.py +++ b/project_euler/9.py @@ -7,17 +7,16 @@ def run(limit: int) -> int: # Limit search space for a; since b and c are greater than a, the maximum value for a is 1/3 of the target. a_max = limit // 3 for a in range(1, a_max): - # Limit search space for b; since c is greater than b, the maximum value for b is half the remaining value. - b_max = (limit -a ) // 2 - for b in range(a + 1, b_max): - c = limit - a - b + # Limit search space for b; since c is greater than b, the maximum value for b is half the remaining value. + b_max = (limit - a) // 2 + for b in range(a + 1, b_max): + c = limit - a - b - if a * a + b * b == c * c: - return a * b * c + if a * a + b * b == c * c: + return a * b * c raise ValueError("no triplet found") def test_run(): assert run(1000) == 31875000 - diff --git a/project_euler/common/primes.py b/project_euler/common/primes.py index d57f273f..766eb008 100644 --- a/project_euler/common/primes.py +++ b/project_euler/common/primes.py @@ -29,8 +29,8 @@ def primes_under(n: int) -> np.ndarray: return np.flatnonzero(sieve) -def write_primes(n: int) -> None: - primes = primes_under(n) +def write_primes(limit: int) -> None: + primes = primes_under(limit) path = Path(__file__).parent / 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+4999961 +4999963 +4999999 diff --git a/src/10.ts b/src/10.ts deleted file mode 100644 index 311291b5..00000000 --- a/src/10.ts +++ /dev/null @@ -1,10 +0,0 @@ -import primes from './core/primes'; - -// Computes the sum of all the prime numbers below the given limit. -// -// See {@link https://projecteuler.net/problem=10}. -export default function compute(limit: number) { - return primes() - .filter(p => p < limit) - .reduce((a, b) => a + b, 0); -} diff --git a/src/9.ts b/src/9.ts deleted file mode 100644 index d2a3faaf..00000000 --- a/src/9.ts +++ /dev/null @@ -1,23 +0,0 @@ -// Compute the product of the Pythagorean triplet for which a + b + c = target. -// -// See {@link https://projecteuler.net/problem=9}. -export default function compute(target: number) { - let result = 0; - - // Limit search space for a; since b and c are greater than a, the maximum value for a is 1/3 of the target. - const amax = Math.floor(target / 3); - for (let a = 1; a <= amax; a++) { - // Limit search space for b; since c is greater than b, the maximum value for b is half the remaining value. - const bmax = Math.floor((target - a) / 2); - for (let b = a + 1; b < bmax; b++) { - const c = target - a - b; - - if (a * a + b * b === c * c) { - result = a * b * c; - break; - } - } - } - - return result; -} From 8f3b25046f1bf76cd0fec155eaf3858fec41618d Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 15:26:03 -0700 Subject: [PATCH 31/60] 11 --- project_euler/11.py | 72 +++++++++++++++++++++++++++++++++++++++++++++ pyproject.toml | 1 + 2 files changed, 73 insertions(+) create mode 100644 project_euler/11.py diff --git a/project_euler/11.py b/project_euler/11.py new file mode 100644 index 00000000..a8bfbdb1 --- /dev/null +++ b/project_euler/11.py @@ -0,0 +1,72 @@ +# Problem 11: Largest Product in a Grid +# +# What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in +# the 20x20 grid? +# +# See https://projecteuler.net/problem=11 +from pathlib import Path +from typing import cast +from toolz import pipe +from toolz.curried import map + + +DIRECTIONS = { + "U": [-1, 0], + "R": [0, 1], + "UR": [-1, 1], + "DR": [1, 1], +} + + +def create_row(line: str) -> list[int]: + row = pipe( + line.split(" "), + map(str.strip), + map(int), + list, + ) + return cast(list[int], row) + + +def create_grid() -> list[list[int]]: + file = Path(__file__).parent / "data" / "11.txt" + lines = file.read_text().strip().split("\n") + return [create_row(line) for line in lines] + + +def product(m: list[list[int]], i: int, j: int, direction: str) -> int: + (di, dj) = DIRECTIONS[direction] + p = 1 + + # Safely compute the product of the four elements in the matrix starting at position (i, j) and moving in the + # direction indicated by (di, dj). + for k in range(4): + try: + p *= m[i + k * di][j + k * dj] + except: + return 0 + + return p + + +def run(): + m = create_grid() + rows = len(m) + cols = len(m[0]) + result = 0 + + for i in range(rows): + for j in range(cols): + result = max( + result, + product(m, i, j, "U"), + product(m, i, j, "R"), + product(m, i, j, "UR"), + product(m, i, j, "DR"), + ) + + return result + + +def test_run(): + assert run() == 70600674 diff --git a/pyproject.toml b/pyproject.toml index f6bb052f..fcc605b3 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -36,6 +36,7 @@ lines_after_imports = 2 [tool.ruff] line-length = 120 +lint.ignore = ["E722"] [tool.pytest.ini_options] python_files = "*.py" From fc74a1b8184e57b5216860c2c6642fe9633f66b4 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 15:26:30 -0700 Subject: [PATCH 32/60] 11 --- src/11.ts | 65 ------------------------------------------------- test/10.test.ts | 7 ------ test/11.test.ts | 7 ------ test/2.test.ts | 7 ------ test/3.test.ts | 7 ------ test/4.test.ts | 7 ------ test/5.test.ts | 7 ------ test/6.test.ts | 7 ------ test/7.test.ts | 7 ------ test/8.test.ts | 7 ------ test/9.test.ts | 7 ------ 11 files changed, 135 deletions(-) delete mode 100644 src/11.ts delete mode 100644 test/10.test.ts delete mode 100644 test/11.test.ts delete mode 100644 test/2.test.ts delete mode 100644 test/3.test.ts delete mode 100644 test/4.test.ts delete mode 100644 test/5.test.ts delete mode 100644 test/6.test.ts delete mode 100644 test/7.test.ts delete mode 100644 test/8.test.ts delete mode 100644 test/9.test.ts diff --git a/src/11.ts b/src/11.ts deleted file mode 100644 index b1034792..00000000 --- a/src/11.ts +++ /dev/null @@ -1,65 +0,0 @@ -import _ from 'lodash'; -import slurp from './core/slurp'; - -// Computes the greatest product of 4 adjacent numbers in the same direction in the grid defined by `11.txt`. -// -// See {@link https://projecteuler.net/problem=11}. -export default function compute() { - const m = slurp('11.txt') - .trim() - .split('\n') - .map(line => { - return line - .split(' ') - .map(s => s.trim()) - .map(_.toNumber); - }); - - const rows = m.length; - const columns = m[0].length; - let result = 0; - for (let i = 0; i < rows; i++) { - for (let j = 0; j < columns; j++) { - result = Math.max( - result, - product(m, i, j, Direction.UP), - product(m, i, j, Direction.RIGHT), - product(m, i, j, Direction.UP_RIGHT), - product(m, i, j, Direction.DOWN_RIGHT) - ); - } - } - - return result; -} - -const Direction = { - UP: [-1, 0], - RIGHT: [0, 1], - UP_RIGHT: [-1, 1], - DOWN_RIGHT: [1, 1] -} as const; - -// Safely compute the product of the four elements in the matrix starting at position (i, j) and moving in the direction -// indicated by (di, dj). -// -// @remarks -// If the product is NaN or if we get an out-of-bounds error, we return 0. -function product(m: number[][], i: number, j: number, direction: readonly [number, number]): number { - try { - const [di, dj] = direction; - let p = 1; - - for (let k = 0; k < 4; k++) { - p *= m[i + k * di][j + k * dj]; - } - - if (Number.isNaN(p)) { - return 0; - } - - return p; - } catch { - return 0; - } -} diff --git a/test/10.test.ts b/test/10.test.ts deleted file mode 100644 index 68abf0e2..00000000 --- a/test/10.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/10'; - -describe('summation of primes', () => { - test('problem 10', async () => { - expect(compute(2_000_000)).toBe(142913828922); - }); -}); diff --git a/test/11.test.ts b/test/11.test.ts deleted file mode 100644 index c87cddbd..00000000 --- a/test/11.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/11'; - -describe('largest product in a grid', () => { - test('problem 11', async () => { - expect(compute()).toBe(70600674); - }); -}); diff --git a/test/2.test.ts b/test/2.test.ts deleted file mode 100644 index 4e14a694..00000000 --- a/test/2.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/2'; - -describe('even fibonacci numbers', () => { - test('problem 2', async () => { - expect(compute(4_000_000)).toBe(4613732); - }); -}); diff --git a/test/3.test.ts b/test/3.test.ts deleted file mode 100644 index c4d7cf53..00000000 --- a/test/3.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/3'; - -describe('largest prime factor', () => { - test('problem 3', async () => { - expect(compute(600851475143)).toBe(6857); - }); -}); diff --git a/test/4.test.ts b/test/4.test.ts deleted file mode 100644 index 0ffbd99e..00000000 --- a/test/4.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/4'; - -describe('largest palindrome product', () => { - test('problem 4', async () => { - expect(compute()).toBe(906609); - }); -}); diff --git a/test/5.test.ts b/test/5.test.ts deleted file mode 100644 index 5fdbe677..00000000 --- a/test/5.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/5'; - -describe('smallest multiple', () => { - test('problem 5', async () => { - expect(compute(20)).toBe(232792560); - }); -}); diff --git a/test/6.test.ts b/test/6.test.ts deleted file mode 100644 index b641aa21..00000000 --- a/test/6.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/6'; - -describe('sum square difference', () => { - test('problem 6', async () => { - expect(compute(100)).toBe(25164150); - }); -}); diff --git a/test/7.test.ts b/test/7.test.ts deleted file mode 100644 index e601755f..00000000 --- a/test/7.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import { compute } from '../src/7'; - -describe('10001st prime', () => { - test('problem 7', async () => { - expect(compute(10001)).toBe(104743); - }); -}); diff --git a/test/8.test.ts b/test/8.test.ts deleted file mode 100644 index f0db558f..00000000 --- a/test/8.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/8'; - -describe('largest product in a series', () => { - test('problem 8', async () => { - expect(compute(13)).toBe(23514624000); - }); -}); diff --git a/test/9.test.ts b/test/9.test.ts deleted file mode 100644 index badb47c0..00000000 --- a/test/9.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/9'; - -describe('special pythagorean triplet', () => { - test('problem 9', async () => { - expect(compute(1000)).toBe(31875000); - }); -}); From cef609c54a580a37c6333ae9e0d04bd3f107b1d6 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 15:39:55 -0700 Subject: [PATCH 33/60] 12 --- project_euler/12.py | 21 +++++++++++++++++++++ src/12.ts | 2 ++ 2 files changed, 23 insertions(+) create mode 100644 project_euler/12.py diff --git a/project_euler/12.py b/project_euler/12.py new file mode 100644 index 00000000..f88c37e3 --- /dev/null +++ b/project_euler/12.py @@ -0,0 +1,21 @@ +# Problem 12: Highly Divisible Triangular Number +# +# What is the value of the first triangle number to have over five hundred divisors? +# +# See https://projecteuler.net/problem=12 +from project_euler.common.divisors import tau + + +def run(limit: int) -> int: + n = 0 + i = 1 + + while tau(n) <= limit: + n += i + i += 1 + + return n + + +def test_run(): + assert run(500) == 76576500 \ No newline at end of file diff --git a/src/12.ts b/src/12.ts index 4174c2fa..3a6a73ba 100644 --- a/src/12.ts +++ b/src/12.ts @@ -1,3 +1,5 @@ +# Problem + import tau from './core/tau'; // Computes the value of the first triangle number to have over the given number of divisors. From 266d4d4fb17449230a246363e7e2ce5fb1b3f7cb Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 15:47:47 -0700 Subject: [PATCH 34/60] formatting --- project_euler/12.py | 2 +- project_euler/13.py | 17 +++++++++++++++++ project_euler/14.py | 33 +++++++++++++++++++++++++++++++++ src/12.ts | 18 ------------------ src/13.ts | 12 ------------ 5 files changed, 51 insertions(+), 31 deletions(-) create mode 100644 project_euler/13.py create mode 100644 project_euler/14.py delete mode 100644 src/12.ts delete mode 100644 src/13.ts diff --git a/project_euler/12.py b/project_euler/12.py index f88c37e3..9524b3b9 100644 --- a/project_euler/12.py +++ b/project_euler/12.py @@ -18,4 +18,4 @@ def run(limit: int) -> int: def test_run(): - assert run(500) == 76576500 \ No newline at end of file + assert run(500) == 76576500 diff --git a/project_euler/13.py b/project_euler/13.py new file mode 100644 index 00000000..e1fd4526 --- /dev/null +++ b/project_euler/13.py @@ -0,0 +1,17 @@ +# Problem 13: Large Sum +# +# Work out the first ten digits of the sum of the one-hundred 50 digit numbers. +# +# See https://projecteuler.net/problem=13 +from pathlib import Path + + +def run(): + file = Path(__file__).parent / "data" / "13.txt" + xs = [int(x) for x in file.read_text().splitlines()] + value = str(sum(xs)) + return int(value[:10]) + + +def test_run(): + assert run() == 5537376230 diff --git a/project_euler/14.py b/project_euler/14.py new file mode 100644 index 00000000..b735ecbf --- /dev/null +++ b/project_euler/14.py @@ -0,0 +1,33 @@ +# Problem 14: Longest Collatz Sequence +# +# Which starting number, under one million, produces the longest Collatz sequence? +# +# See https://projecteuler.net/problem=14 +import functools + + +@functools.lru_cache(maxsize=None) +def collatz_len(n: int) -> int: + if n == 1: + return 0 + + next = n // 2 if n % 2 == 0 else 3 * n + 1 + return 1 + collatz_len(next) + + +def run(limit: int) -> int: + max_len = 0 + current_len = 0 + result = 1 + + for i in range(1, limit): + current_len = collatz_len(i) + if current_len > max_len: + max_len = current_len + result = i + + return result + + +def test_run(): + assert run(1_000_000) == 837799 diff --git a/src/12.ts b/src/12.ts deleted file mode 100644 index 3a6a73ba..00000000 --- a/src/12.ts +++ /dev/null @@ -1,18 +0,0 @@ -# Problem - -import tau from './core/tau'; - -// Computes the value of the first triangle number to have over the given number of divisors. -// -// See {@link https://projecteuler.net/problem=12}. -export default function compute(limit: number): number { - let n = 0; - let i = 1; - - while (tau(n) <= limit) { - n += i; - i += 1; - } - - return n; -} diff --git a/src/13.ts b/src/13.ts deleted file mode 100644 index 8bf39c7f..00000000 --- a/src/13.ts +++ /dev/null @@ -1,12 +0,0 @@ -import _ from 'lodash'; -import slurp from './core/slurp'; - -// Compute the first ten digits of the sum of the one-hundred 50-digit numbers defined by `13.txt`. -// -// See {@link https://projecteuler.net/problem=13}. -export default function compute() { - const numbers = slurp('13.txt').split('\n').map(BigInt); - const sum = numbers.reduce((a, b) => a + b, 0n); - const text = sum.toString().slice(0, 10); - return _.toNumber(text); -} From 85092b03b22c4dfaddb977ee1a4c5b5f6f725be6 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 16:01:34 -0700 Subject: [PATCH 35/60] 17 --- project_euler/15.py | 21 ++++++++++++++++ project_euler/16.py | 12 +++++++++ project_euler/17.py | 61 +++++++++++++++++++++++++++++++++++++++++++++ src/14.ts | 35 -------------------------- src/15.ts | 22 ---------------- src/16.ts | 9 ------- src/17.ts | 59 ------------------------------------------- 7 files changed, 94 insertions(+), 125 deletions(-) create mode 100644 project_euler/15.py create mode 100644 project_euler/16.py create mode 100644 project_euler/17.py delete mode 100644 src/14.ts delete mode 100644 src/15.ts delete mode 100644 src/16.ts delete mode 100644 src/17.ts diff --git a/project_euler/15.py b/project_euler/15.py new file mode 100644 index 00000000..3a0cbeea --- /dev/null +++ b/project_euler/15.py @@ -0,0 +1,21 @@ +# Problem 15: Lattice Paths +# +# How many paths are there through a 20x20 grid? +# +# See https://projecteuler.net/problem=15 +import math + + +def run(): + # It's not necessary to actually generate the routes; we can count them directly. Starting at the upper left, one + # must move down exactly 20 times, and right exactly 20 times in order to reach the bottom right. Represent the + # downward movement as a 'D' and the rightward movement as an 'R', then the number of routes to the bottom right is + # equal to the number of permutations of a 'word' with 20 D's and 20 R's. + # + # This can be viewed as a multiset permutation whose cardinality is the multinomial coefficient: (20 + 20)! / 20!20! + # You can compute this as math.comb(20 + 20, 20). + return math.comb(20 + 20, 20) + + +def test_run(): + assert run() == 137846528820 diff --git a/project_euler/16.py b/project_euler/16.py new file mode 100644 index 00000000..65f3b2e1 --- /dev/null +++ b/project_euler/16.py @@ -0,0 +1,12 @@ +# Problem 16: Power Digit Sum +# +# What is the sum of the digits of the number 2^1000? +# +# See https://projecteuler.net/problem=16 +def run(): + s = str(2**1000) + return sum(int(c) for c in s) + + +def test_run(): + assert run() == 1366 diff --git a/project_euler/17.py b/project_euler/17.py new file mode 100644 index 00000000..aac9017f --- /dev/null +++ b/project_euler/17.py @@ -0,0 +1,61 @@ +# Problem 17: Number Letter Counts +# +# If all the numbers from 1 to 1000 inclusive were written out in words, how many letters would be used? +# +# See https://projecteuler.net/problem=17 +MAPPING = { + 1: "one", + 2: "two", + 3: "three", + 4: "four", + 5: "five", + 6: "six", + 7: "seven", + 8: "eight", + 9: "nine", + 10: "ten", + 11: "eleven", + 12: "twelve", + 13: "thirteen", + 14: "fourteen", + 15: "fifteen", + 16: "sixteen", + 17: "seventeen", + 18: "eighteen", + 19: "nineteen", + 20: "twenty", + 30: "thirty", + 40: "forty", + 50: "fifty", + 60: "sixty", + 70: "seventy", + 80: "eighty", + 90: "ninety", +} + + +def say(n: int) -> str: + if n == 1000: + return "one thousand" + elif n >= 100 and n % 100 != 0: + key = n // 100 + return f"{MAPPING[key]} hundred and {say(n % 100)}" + elif n >= 100: + key = n // 100 + return f"{MAPPING[key]} hundred" + elif n >= 20 and n % 10 != 0: + key = n - (n % 10) + return f"{MAPPING[key]} {say(n % 10)}" + else: + return MAPPING[n] + + +def run(): + result = 0 + for i in range(1, 1001): + result += len(say(i).replace(" ", "")) + return result + + +def test_run(): + assert run() == 21124 diff --git a/src/14.ts b/src/14.ts deleted file mode 100644 index 71ea55a4..00000000 --- a/src/14.ts +++ /dev/null @@ -1,35 +0,0 @@ -// Computes the number that produces the longest Collatz chain under a given limit. -// -// See {@link https://projecteuler.net/problem=14}. -export default function compute(limit: number) { - let max = 0; - let result = 0; - - for (let i = 1; i < limit; i++) { - const current = collatzLength(i); - if (current > max) { - max = current; - result = i; - } - } - - return result; -} - -const memo = new Map(); - -function collatzLength(n: number): number { - if (n === 1) { - return 0; - } - - if (memo.has(n)) { - return memo.get(n)!; - } - - const next = n % 2 === 0 ? n / 2 : 3 * n + 1; - const result = 1 + collatzLength(next); - - memo.set(n, result); - return result; -} diff --git a/src/15.ts b/src/15.ts deleted file mode 100644 index 89b6cbb0..00000000 --- a/src/15.ts +++ /dev/null @@ -1,22 +0,0 @@ -import factorial from './core/factorial'; - -// Computes the number of routes from the upper left to the bottom right of a lattice grid. -// -// @remarks -// It's not necessary to actually generate the routes; we can count them directly. Starting at the upper left, one must -// move down exactly 20 times, and right exactly 20 times in order to reach the bottom right. Represent the downward -// movement as a 'D' and the rightward movement as an 'R', then the number of routes to the bottom right is equal to the -// number of permutations of a 'word' with 20 D's and 20 R's. -// -// This can be viewed as a multiset permutation whose cardinality is the -// multinomial coefficient. -// -// See {@link https://en.wikipedia.org/wiki/Permutation#Permutations_of_multisets}. -// See {@link https://projecteuler.net/problem=15}. -export default function compute() { - const k = factorial(20); - const n = factorial(20 + 20); - const d = k * k; - - return n / d; -} diff --git a/src/16.ts b/src/16.ts deleted file mode 100644 index 05f2ac62..00000000 --- a/src/16.ts +++ /dev/null @@ -1,9 +0,0 @@ -import _ from 'lodash'; - -// Computes the sum of the digits of the given number raised to the given power. -// -// See {@link https://projecteuler.net/problem=16}. -export default function compute(k: number, e: number) { - const s = BigInt(Math.pow(k, e)).toString(); - return s.split('').reduce((a, b) => a + _.toNumber(b), 0); -} diff --git a/src/17.ts b/src/17.ts deleted file mode 100644 index e7e289bf..00000000 --- a/src/17.ts +++ /dev/null @@ -1,59 +0,0 @@ -// Compute the number of letters used to write out the numbers from 1 to 1000. -// -// See {@link https://projecteuler.net/problem=17}. -export default function compute() { - const map = new Map([ - [1, 'one'], - [2, 'two'], - [3, 'three'], - [4, 'four'], - [5, 'five'], - [6, 'six'], - [7, 'seven'], - [8, 'eight'], - [9, 'nine'], - [10, 'ten'], - [11, 'eleven'], - [12, 'twelve'], - [13, 'thirteen'], - [14, 'fourteen'], - [15, 'fifteen'], - [16, 'sixteen'], - [17, 'seventeen'], - [18, 'eighteen'], - [19, 'nineteen'], - [20, 'twenty'], - [30, 'thirty'], - [40, 'forty'], - [50, 'fifty'], - [60, 'sixty'], - [70, 'seventy'], - [80, 'eighty'], - [90, 'ninety'] - ]); - - function say(n: number): string { - if (n === 1000) { - return 'one thousand'; - } else if (n >= 100 && n % 100 !== 0) { - const key = Math.floor(n / 100); - return `${map.get(key)} hundred and ${say(n % 100)}`; - } else if (n >= 100) { - const key = Math.floor(n / 100); - return `${map.get(key)} hundred`; - } else if (n >= 20 && n % 10 !== 0) { - const key = n - (n % 10); - return `${map.get(key)} ${say(n % 10)}`; - } else if (n >= 20) { - return map.get(n)!; - } else { - return map.get(n)!; - } - } - - let sum = 0; - for (let i = 1; i <= 1000; i++) { - sum += say(i).replace(/\s+/g, '').length; - } - return sum; -} From 50a2a3da8e8fee3dc174b64d7137e5f0b62d67c3 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 16:09:48 -0700 Subject: [PATCH 36/60] 18 --- project_euler/18.py | 59 +++++++++++++++++++++++++++++++++++++++++++++ project_euler/67.py | 31 ++++++++++++++++++++++++ src/18.ts | 57 ------------------------------------------- src/67.ts | 19 --------------- 4 files changed, 90 insertions(+), 76 deletions(-) create mode 100644 project_euler/18.py create mode 100644 project_euler/67.py delete mode 100644 src/18.ts delete mode 100644 src/67.ts diff --git a/project_euler/18.py b/project_euler/18.py new file mode 100644 index 00000000..5540539c --- /dev/null +++ b/project_euler/18.py @@ -0,0 +1,59 @@ +# Problem 18: Maximum Path Sum I +# +# Find the maximum total from top to bottom of the triangle. +# +# See https://projecteuler.net/problem=18 +def create_row(line: str) -> list[int]: + return [int(s.strip()) for s in line.strip().split(" ")] + + +def create_triangle(): + input = """ + 75 + 95 64 + 17 47 82 + 18 35 87 10 + 20 04 82 47 65 + 19 01 23 75 03 34 + 88 02 77 73 07 63 67 + 99 65 04 28 06 16 70 92 + 41 41 26 56 83 40 80 70 33 + 41 48 72 33 47 32 37 16 94 29 + 53 71 44 65 25 43 91 52 97 51 14 + 70 11 33 28 77 73 17 78 39 68 17 57 + 91 71 52 38 17 14 91 43 58 50 27 29 48 + 63 66 04 68 89 53 67 30 73 16 69 87 40 31 + 04 62 98 27 23 09 70 98 73 93 38 53 60 04 23 + """ + lines = input.strip().splitlines() + return [create_row(line) for line in lines] + + +def run(): + triangle = create_triangle() + + # Rather than calculating the path sums going down, look at the bottom row and the row above it. + # + # For example, assume that the tree has height 4 and that these are the last 2 rows: + # + # 17 47 82 + # 18 35 87 10 + # + # At 17, you will never take the left path containing 18, because 35 + 17 is greater. At 47, you will never take the + # left path for 35, because 47 + 87 is greater, and so on. + # + # Therefore, these last 2 rows can be reduced to a single row once the optimal path is taken: + # + # 52 134 169 + # + # Once this reduction is done, compare this newly constructed row to the one above it and perform the same reduction + # until only one row remains with one value. + for i in range(len(triangle) - 2, -1, -1): + for j in range(len(triangle[i])): + triangle[i][j] += max(triangle[i + 1][j], triangle[i + 1][j + 1]) + + return triangle[0][0] + + +def test_run(): + assert run() == 1074 diff --git a/project_euler/67.py b/project_euler/67.py new file mode 100644 index 00000000..2848ef22 --- /dev/null +++ b/project_euler/67.py @@ -0,0 +1,31 @@ +# Problem 67: Maximum Path Sum II +# +# Find the maximum total from top to bottom of the triangle. +# +# See https://projecteuler.net/problem=67 +from pathlib import Path + + +def create_row(line: str) -> list[int]: + return [int(s.strip()) for s in line.strip().split(" ")] + + +def create_triangle(): + input = Path(__file__).parent / "data" / "67.txt" + lines = input.read_text().strip().splitlines() + return [create_row(line) for line in lines] + + +def run(): + triangle = create_triangle() + + # See problem 18 for an explanation of this algorithm. + for i in range(len(triangle) - 2, -1, -1): + for j in range(len(triangle[i])): + triangle[i][j] += max(triangle[i + 1][j], triangle[i + 1][j + 1]) + + return triangle[0][0] + + +def test_run(): + assert run() == 7273 diff --git a/src/18.ts b/src/18.ts deleted file mode 100644 index 315b388d..00000000 --- a/src/18.ts +++ /dev/null @@ -1,57 +0,0 @@ -// Compute the maximum total from top to bottom of the triangle below. -// -// @remarks -// -// Rather than calculating the path sums going down, look at the bottom row and -// the row above it. -// -// For example, assume that the tree has height 4 and that these are the last 2 -// rows: -// -// 17 47 82 -// 18 35 87 10 -// -// At 17, you will never take the left path containing 18, because 35 + 17 is -// greater. At 47, you will never take the left path for 35, because 47 + 87 is -// greater, and so on. -// -// Therefore, these last 2 rows can be reduced to a single row once the optimal -// path is taken: -// -// 52 134 169 -// -// Once this reduction is done, compare this newly constructed row to the one -// above it and perform the same reduction until only one row remains with one -// value. -// -// See {@link https://projecteuler.net/problem=18}. -export default function compute() { - const input = ` - 75 - 95 64 - 17 47 82 - 18 35 87 10 - 20 04 82 47 65 - 19 01 23 75 03 34 - 88 02 77 73 07 63 67 - 99 65 04 28 06 16 70 92 - 41 41 26 56 83 40 80 70 33 - 41 48 72 33 47 32 37 16 94 29 - 53 71 44 65 25 43 91 52 97 51 14 - 70 11 33 28 77 73 17 78 39 68 17 57 - 91 71 52 38 17 14 91 43 58 50 27 29 48 - 63 66 04 68 89 53 67 30 73 16 69 87 40 31 - 04 62 98 27 23 09 70 98 73 93 38 53 60 04 23`; - const triangle = input - .trim() - .split('\n') - .map(row => row.trim().split(' ').map(Number)); - - for (let i = triangle.length - 2; i >= 0; i--) { - for (let j = 0; j < triangle[i].length; j++) { - triangle[i][j] += Math.max(triangle[i + 1][j], triangle[i + 1][j + 1]); - } - } - - return triangle[0][0]; -} diff --git a/src/67.ts b/src/67.ts deleted file mode 100644 index 39de4c06..00000000 --- a/src/67.ts +++ /dev/null @@ -1,19 +0,0 @@ -import slurp from './core/slurp'; - -// Computes the maximum path sum from the top to the bottom of a triangle. -// -// See {@link https://projecteuler.net/problem=67} -export default function compute() { - const triangle = slurp('67.txt') - .trim() - .split('\n') - .map(row => row.trim().split(' ').map(Number)); - - for (let i = triangle.length - 2; i >= 0; i--) { - for (let j = 0; j < triangle[i].length; j++) { - triangle[i][j] += Math.max(triangle[i + 1][j], triangle[i + 1][j + 1]); - } - } - - return triangle[0][0]; -} From 66e1f64f72b5c9fcf6d7c574946b830507fa6f8b Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 16:22:02 -0700 Subject: [PATCH 37/60] 22 --- project_euler/19.py | 18 ++++++++++++++++++ project_euler/20.py | 13 +++++++++++++ project_euler/21.py | 21 +++++++++++++++++++++ project_euler/22.py | 31 +++++++++++++++++++++++++++++++ src/19.ts | 35 ----------------------------------- src/20.ts | 16 ---------------- src/21.ts | 18 ------------------ src/22.ts | 36 ------------------------------------ 8 files changed, 83 insertions(+), 105 deletions(-) create mode 100644 project_euler/19.py create mode 100644 project_euler/20.py create mode 100644 project_euler/21.py create mode 100644 project_euler/22.py delete mode 100644 src/19.ts delete mode 100644 src/20.ts delete mode 100644 src/21.ts delete mode 100644 src/22.ts diff --git a/project_euler/19.py b/project_euler/19.py new file mode 100644 index 00000000..65e1fb50 --- /dev/null +++ b/project_euler/19.py @@ -0,0 +1,18 @@ +# Problem 19: Counting Sundays +# +# How many Sundays fell on the first of the month during the twentieth century (1 Jan 1901 to 31 Dec 2000)? +# +# See https://projecteuler.net/problem=19 +from datetime import date + +def run() -> int: + count = 0 + for year in range(1901, 2001): + for month in range(1, 13): + if date(year, month, 1).weekday() == 6: + count += 1 + return count + + +def test_run(): + assert run() == 171 \ No newline at end of file diff --git a/project_euler/20.py b/project_euler/20.py new file mode 100644 index 00000000..950a4d2b --- /dev/null +++ b/project_euler/20.py @@ -0,0 +1,13 @@ +# Problem 20: Factorial Digit Sum +# +# Find the sum of the digits in the number 100! +# +# See https://projecteuler.net/problem=20 +import math + +def run(n: int) -> int: + return sum(int(c) for c in str(math.factorial(n))) + + +def test_run(): + assert run(100) == 648 \ No newline at end of file diff --git a/project_euler/21.py b/project_euler/21.py new file mode 100644 index 00000000..7999b09e --- /dev/null +++ b/project_euler/21.py @@ -0,0 +1,21 @@ +# Problem 21: Amicable Numbers +# +# Evaluate the sum of all the amicable numbers under 10_000. +# +# See https://projecteuler.net/problem=21 +from project_euler.common.divisors import sigma + + +def run(n: int) -> int: + result = 0 + + for a in range(2, n + 1): + b = sigma(a) - a + if a > b and sigma(b) - b == a: + result += a + b + + return result + + +def test_run(): + assert run(10_000) == 31626 \ No newline at end of file diff --git a/project_euler/22.py b/project_euler/22.py new file mode 100644 index 00000000..5b650f3d --- /dev/null +++ b/project_euler/22.py @@ -0,0 +1,31 @@ +# Problem 22: Names Scores +# +# What is the total of all the name scores in the file? +# +# See https://projecteuler.net/problem=22 +from pathlib import Path + +def read_names(): + file = Path(__file__).parent / "data" / "22.txt" + names = file.read_text().split(",") + return [name[1:-1] for name in names] + +def create_score_map(): + codes = [chr(c) for c in range(ord("A"), ord("Z") + 1)] + values = range(1, len(codes) + 1) + return dict(zip(codes, values)) + + +def run(): + mapping = create_score_map() + names = sorted(read_names()) + result = 0 + + for i, name in enumerate(names): + score = sum([mapping[c] for c in name]) + result += score * (i + 1) + + return result + +def test_run(): + assert run() == 871198282 \ No newline at end of file diff --git a/src/19.ts b/src/19.ts deleted file mode 100644 index 5630315d..00000000 --- a/src/19.ts +++ /dev/null @@ -1,35 +0,0 @@ -// Compute the number of Sundays that fell on the first of the month during the twentieth century (1 Jan 1901 to -// 31 Dec 2000). -// -// See {@link https://projecteuler.net/problem=19}. -export default function compute() { - // Days per month, considering February as 28 days. - const daysPerMonth = [31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]; - - // Computes days in a month, taking into account leap years. - function daysInMonth(month: number, year: number): number { - let days = daysPerMonth[month]; - if (month === 1 && year % 4 === 0 && (year % 100 !== 0 || year % 400 === 0)) { - days += 1; - } - - return days; - } - - // Start on 1 Jan 1901, a Tuesday (day 2). - let days = 2; - - // Compute the number of Sundays on the first of the month from 1901 to 2000. - let result = 0; - for (let year = 1901; year <= 2000; year++) { - for (let month = 0; month < 12; month++) { - if (days % 7 === 0) { - result += 1; - } - - days += daysInMonth(month, year); - } - } - - return result; -} diff --git a/src/20.ts b/src/20.ts deleted file mode 100644 index f6af5284..00000000 --- a/src/20.ts +++ /dev/null @@ -1,16 +0,0 @@ -import _ from 'lodash'; -import factorial from './core/factorial'; - -// Computes the sum of the digits of the factorial of a given number. -// -// See {@link https://projecteuler.net/problem=20}. -export default function compute(limit: number) { - const text = _.toString(factorial(limit)); - - let sum = 0; - for (let i = 0; i < text.length; i++) { - sum += _.toNumber(text[i]); - } - - return sum; -} diff --git a/src/21.ts b/src/21.ts deleted file mode 100644 index 6b496611..00000000 --- a/src/21.ts +++ /dev/null @@ -1,18 +0,0 @@ -import _ from 'lodash'; -import sigma from './core/sigma'; - -// Computes the sum of all amicable numbers under `limit`. -// -// See {@link https://projecteuler.net/problem=21} -export default function compute(limit: number) { - let sum = 0; - - for (const a of _.range(2, limit + 1)) { - const b = sigma(a) - a; - if (a > b && sigma(b) - b === a) { - sum += a + b; - } - } - - return sum; -} diff --git a/src/22.ts b/src/22.ts deleted file mode 100644 index 5c6aea12..00000000 --- a/src/22.ts +++ /dev/null @@ -1,36 +0,0 @@ -// Computes name scores based on the names in the text file. -// -// See {@link https://projecteuler.net/problem=22} -import _ from 'lodash'; -import slurp from './core/slurp'; - -function getNames() { - return slurp('22.txt') - .split(',') - .map(line => line.slice(1, -1)) - .sort((a, b) => a.localeCompare(b)); -} - -function getScores() { - const codes = _.range('A'.charCodeAt(0), 'Z'.charCodeAt(0) + 1).map(c => String.fromCharCode(c)); - const values = _.range(1, 27); - return new Map(_.zip(codes, values) as [[string, number]]); -} - -function getScore(name: string, scores: Map) { - return name.split('').reduce((a, b) => a + scores.get(b)!, 0); -} - -export default function compute() { - const scores = getScores(); - const names = getNames(); - - let result = 0; - for (let i = 0; i < names.length; i++) { - const name = names[i]; - const score = getScore(name, scores); - result += (i + 1) * score; - } - - return result; -} From 23cdf89b8bb8c69cc5d9ed54b79bbbcec3dca487 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 16:50:12 -0700 Subject: [PATCH 38/60] 24 --- project_euler/23.py | 25 +++++++++++++++++++++++++ project_euler/24.py | 25 +++++++++++++++++++++++++ src/23.ts | 23 ----------------------- src/24.rkt | 20 -------------------- 4 files changed, 50 insertions(+), 43 deletions(-) create mode 100644 project_euler/23.py create mode 100644 project_euler/24.py delete mode 100644 src/23.ts delete mode 100644 src/24.rkt diff --git a/project_euler/23.py b/project_euler/23.py new file mode 100644 index 00000000..fdda0a9a --- /dev/null +++ b/project_euler/23.py @@ -0,0 +1,25 @@ +# Problem 23: Non-Abundant Sums +# +# Find the sum of all the positive integers which cannot be written as the sum of two abundant numbers. +# +# See https://projecteuler.net/problem=23 +from project_euler.common.divisors import sigma + + +def run(limit: int) -> int: + abundants = list(filter(lambda n: sigma(n) - n> n, range(1, limit + 1))) + numbers = list(range(0, limit + 1)) + + for i in range(len(abundants)): + for j in range(i, len(abundants)): + k = abundants[i] + abundants[j] + if k <= limit: + numbers[k] = 0 + else: + break + + return sum(numbers) + + +def test_run(): + assert run(28123) == 4179871 \ No newline at end of file diff --git a/project_euler/24.py b/project_euler/24.py new file mode 100644 index 00000000..51b65fe7 --- /dev/null +++ b/project_euler/24.py @@ -0,0 +1,25 @@ +# Problem 24: Lexicographic Permutations +# +# What is the millionth lexicographic permutation of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9? +# +# See https://projecteuler.net/problem=24 +from itertools import permutations +from typing import cast +from toolz import pipe +from toolz.curried import map + + +def run() -> int: + result = pipe( + range(10), + permutations, + map(lambda xs: int("".join(map(str, xs)))), + sorted, + lambda xs: xs[999_999], + ) + + return cast(int, result) + + +def test_run(): + assert run() == 2783915460 \ No newline at end of file diff --git a/src/23.ts b/src/23.ts deleted file mode 100644 index 7db3f51a..00000000 --- a/src/23.ts +++ /dev/null @@ -1,23 +0,0 @@ -import _ from 'lodash'; -import sigma from './core/sigma'; - -// Computes the sum of all the positive integers which cannot be written as the sum of two abundant numbers. -// -// See {@link https://projecteuler.net/problem=23} -export default function compute(limit: number) { - const abundants = _.range(1, limit + 1).filter(n => sigma(n) - n > n); - const numbers = _.range(0, limit + 1); - - for (let i = 0; i < abundants.length; i++) { - for (let j = i; j < abundants.length; j++) { - const sum = abundants[i] + abundants[j]; - if (sum <= limit) { - numbers[sum] = 0; - } else { - break; - } - } - } - - return numbers.reduce((a, b) => a + b, 0); -} diff --git a/src/24.rkt b/src/24.rkt deleted file mode 100644 index 329c6b34..00000000 --- a/src/24.rkt +++ /dev/null @@ -1,20 +0,0 @@ -#lang racket -(require rackunit) - - -(define (list->number lst) - ((compose string->number - (curry apply string-append) - (curry map number->string)) - lst)) - -(define result - ((compose (curryr vector-ref (sub1 1000000)) - list->vector - (curryr sort <) - (curry map list->number) - permutations) - (range 10))) - -(displayln result) -(check-equal? result 2783915460) From a8bbe7eee92a1ab6e3bcd1ac904c7d2696347db3 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 17:08:10 -0700 Subject: [PATCH 39/60] 27 --- project_euler/2.py | 8 +---- project_euler/25.py | 17 ++++++++++ project_euler/26.py | 33 ++++++++++++++++++ project_euler/27.py | 41 +++++++++++++++++++++++ project_euler/common/fibonacci_numbers.py | 5 +++ src/25.rkt | 14 -------- src/26.rkt | 23 ------------- 7 files changed, 97 insertions(+), 44 deletions(-) create mode 100644 project_euler/25.py create mode 100644 project_euler/26.py create mode 100644 project_euler/27.py create mode 100644 project_euler/common/fibonacci_numbers.py delete mode 100644 src/25.rkt delete mode 100644 src/26.rkt diff --git a/project_euler/2.py b/project_euler/2.py index c0d062ab..c1143829 100644 --- a/project_euler/2.py +++ b/project_euler/2.py @@ -6,13 +6,7 @@ from itertools import takewhile from typing import cast from toolz import curried, pipe - - -def fibs(): - a, b = 0, 1 - while True: - yield a - a, b = b, a + b +from project_euler.common.fibonacci_numbers import fibs def run(limit: int) -> int: diff --git a/project_euler/25.py b/project_euler/25.py new file mode 100644 index 00000000..003cefc6 --- /dev/null +++ b/project_euler/25.py @@ -0,0 +1,17 @@ +# Problem 25: 1000-digit Fibonacci Number +# +# What is the index of the first term in the Fibonacci sequence to contain 1000 digits? +# +# See https://projecteuler.net/problem=25 +from project_euler.common.fibonacci_numbers import fibs + + +def run() -> int: + for i, n in enumerate(fibs()): + count = len(str(n)) + if count >= 1000: + return i + + +def test_run(): + assert run() == 4782 \ No newline at end of file diff --git a/project_euler/26.py b/project_euler/26.py new file mode 100644 index 00000000..412e2122 --- /dev/null +++ b/project_euler/26.py @@ -0,0 +1,33 @@ +# Problem 26: Reciprocal Cycles +# +# Find the value of d < 1000 for which 1/d contains the longest recurring cycle in its decimal fraction part. +# +# See https://projecteuler.net/problem=26 +from math import gcd +from project_euler.common.order import ord + + +def run(limit: int) -> int: + best_n = 0 + best_t = 0 + + for n in range(limit - 1, 1, -1): + if n % 2 == 0 or n % 5 == 0: + continue + + if gcd(10, n) != 1: + continue + + t = ord(10, n) + if t == n - 1: + return n + + if t > best_t: + best_t = t + best_n = n + + return best_n + + +def test_run(): + assert run(1000) == 983 \ No newline at end of file diff --git a/project_euler/27.py b/project_euler/27.py new file mode 100644 index 00000000..b9ad8d51 --- /dev/null +++ b/project_euler/27.py @@ -0,0 +1,41 @@ +# Problem 27: Quadratic Primes +# +# Find the product of the coefficients, a and b, for the quadratic expression that produces the maximum number of primes +# for consecutive values of n, starting with n = 0. +# +# Only consider |a| < 1000 and |b| < 1000. +# +# See https://projecteuler.net/problem=27 +from project_euler.common.primes import primes_under + + +def f(n: int, a: int, b: int) -> int: + return n ** 2 + a * n + b + + +def count_primes(a: int, b: int, ps: set[int]) -> int: + n = 0 + while True: + y = f(n, a, b) + if y < 2 or y not in ps: + return n + n += 1 + + +def run(limit: int): + candidates: dict[int, tuple[int, int]] = {} + ps = primes_under(limit).tolist() + + bs = ps + [-p for p in ps] + for b in bs: + for a in range(-limit, limit + 1): + c = count_primes(a, b, ps) + candidates[c] = (a, b) + + best = max(candidates.keys()) + (a, b) = candidates[best] + return a * b + + +def test_run(): + assert run(1000) == -59231 \ No newline at end of file diff --git a/project_euler/common/fibonacci_numbers.py b/project_euler/common/fibonacci_numbers.py new file mode 100644 index 00000000..6d826350 --- /dev/null +++ b/project_euler/common/fibonacci_numbers.py @@ -0,0 +1,5 @@ +def fibs(): + a, b = 0, 1 + while True: + yield a + a, b = b, a + b diff --git a/src/25.rkt b/src/25.rkt deleted file mode 100644 index 48bb7f53..00000000 --- a/src/25.rkt +++ /dev/null @@ -1,14 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") -(require "lib/number-theory.rkt") - - -(define result - (for/last ((i (in-naturals)) - (n fibs) - #:break (>= (count-digits n) 1000)) - (add1 i))) - -(displayln result) -(check-equal? result 4782) diff --git a/src/26.rkt b/src/26.rkt deleted file mode 100644 index 085ab622..00000000 --- a/src/26.rkt +++ /dev/null @@ -1,23 +0,0 @@ -#lang racket -(require (only-in rackunit check-equal?)) -(require (only-in "lib/number-theory.rkt" divides? ord)) - - -(define numbers - (filter (lambda (n) (and (not (divides? 2 n)) (not (divides? 5 n)))) - (range 999 1 -1))) - -(define (max-period best numbers) - (if (empty? numbers) - best - (let* ((n (first numbers)) - (t (ord 10 n))) - (cond ((= t (sub1 n)) (cons n t)) - ((> t (cdr best)) (max-period (cons n t) (rest numbers))) - (else (max-period best (rest numbers))))))) - -(define result - (car (max-period (cons 0 0) numbers))) - -(displayln result) -(check-equal? result 983) From 5f7d13975730ea1fe1dbd3eab461acc04593e51e Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 17:08:53 -0700 Subject: [PATCH 40/60] removed --- src/27.rkt | 27 --------------------------- 1 file changed, 27 deletions(-) delete mode 100644 src/27.rkt diff --git a/src/27.rkt b/src/27.rkt deleted file mode 100644 index 2f49d0a5..00000000 --- a/src/27.rkt +++ /dev/null @@ -1,27 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") -(require "lib/number-theory.rkt") - - -(define ps - (filter prime? (range 1000))) - -(define (f n a b) - (+ (* n n) (* a n) b)) - -(define (primes-count a b) - (length (takef (range b) (compose prime? (curryr f a b))))) - -(define m - (for*/hash ((b (append ps (map (curry * -1) ps))) - (a (range -1000 1001))) - (let ((c (primes-count a b))) - (values c (cons a b))))) - -(define result - (let ((v (hash-ref m (apply max (hash-keys m))))) - (* (car v) (cdr v)))) - -(displayln result) -(check-equal? result -59231) From d20ec24d2751dca6c3d30f622e0bc0d982e663c0 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 17:16:17 -0700 Subject: [PATCH 41/60] 27 --- project_euler/19.py | 3 ++- project_euler/20.py | 3 ++- project_euler/21.py | 2 +- project_euler/22.py | 5 ++++- project_euler/23.py | 4 ++-- project_euler/24.py | 7 +++---- project_euler/25.py | 4 ++-- project_euler/26.py | 2 +- project_euler/27.py | 8 ++++---- project_euler/common/primes.py | 2 +- 10 files changed, 22 insertions(+), 18 deletions(-) diff --git a/project_euler/19.py b/project_euler/19.py index 65e1fb50..ead7f5bf 100644 --- a/project_euler/19.py +++ b/project_euler/19.py @@ -5,6 +5,7 @@ # See https://projecteuler.net/problem=19 from datetime import date + def run() -> int: count = 0 for year in range(1901, 2001): @@ -15,4 +16,4 @@ def run() -> int: def test_run(): - assert run() == 171 \ No newline at end of file + assert run() == 171 diff --git a/project_euler/20.py b/project_euler/20.py index 950a4d2b..a2141506 100644 --- a/project_euler/20.py +++ b/project_euler/20.py @@ -5,9 +5,10 @@ # See https://projecteuler.net/problem=20 import math + def run(n: int) -> int: return sum(int(c) for c in str(math.factorial(n))) def test_run(): - assert run(100) == 648 \ No newline at end of file + assert run(100) == 648 diff --git a/project_euler/21.py b/project_euler/21.py index 7999b09e..3607ff0b 100644 --- a/project_euler/21.py +++ b/project_euler/21.py @@ -18,4 +18,4 @@ def run(n: int) -> int: def test_run(): - assert run(10_000) == 31626 \ No newline at end of file + assert run(10_000) == 31626 diff --git a/project_euler/22.py b/project_euler/22.py index 5b650f3d..22826e11 100644 --- a/project_euler/22.py +++ b/project_euler/22.py @@ -5,11 +5,13 @@ # See https://projecteuler.net/problem=22 from pathlib import Path + def read_names(): file = Path(__file__).parent / "data" / "22.txt" names = file.read_text().split(",") return [name[1:-1] for name in names] + def create_score_map(): codes = [chr(c) for c in range(ord("A"), ord("Z") + 1)] values = range(1, len(codes) + 1) @@ -27,5 +29,6 @@ def run(): return result + def test_run(): - assert run() == 871198282 \ No newline at end of file + assert run() == 871198282 diff --git a/project_euler/23.py b/project_euler/23.py index fdda0a9a..c86793e0 100644 --- a/project_euler/23.py +++ b/project_euler/23.py @@ -7,7 +7,7 @@ def run(limit: int) -> int: - abundants = list(filter(lambda n: sigma(n) - n> n, range(1, limit + 1))) + abundants = list(filter(lambda n: sigma(n) - n > n, range(1, limit + 1))) numbers = list(range(0, limit + 1)) for i in range(len(abundants)): @@ -22,4 +22,4 @@ def run(limit: int) -> int: def test_run(): - assert run(28123) == 4179871 \ No newline at end of file + assert run(28123) == 4179871 diff --git a/project_euler/24.py b/project_euler/24.py index 51b65fe7..09c80fc5 100644 --- a/project_euler/24.py +++ b/project_euler/24.py @@ -5,15 +5,14 @@ # See https://projecteuler.net/problem=24 from itertools import permutations from typing import cast -from toolz import pipe -from toolz.curried import map +from toolz import curried, pipe def run() -> int: result = pipe( range(10), permutations, - map(lambda xs: int("".join(map(str, xs)))), + curried.map(lambda xs: int("".join(map(str, xs)))), sorted, lambda xs: xs[999_999], ) @@ -22,4 +21,4 @@ def run() -> int: def test_run(): - assert run() == 2783915460 \ No newline at end of file + assert run() == 2783915460 diff --git a/project_euler/25.py b/project_euler/25.py index 003cefc6..5851016c 100644 --- a/project_euler/25.py +++ b/project_euler/25.py @@ -6,7 +6,7 @@ from project_euler.common.fibonacci_numbers import fibs -def run() -> int: +def run() -> int | None: for i, n in enumerate(fibs()): count = len(str(n)) if count >= 1000: @@ -14,4 +14,4 @@ def run() -> int: def test_run(): - assert run() == 4782 \ No newline at end of file + assert run() == 4782 diff --git a/project_euler/26.py b/project_euler/26.py index 412e2122..fe2dec98 100644 --- a/project_euler/26.py +++ b/project_euler/26.py @@ -30,4 +30,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1000) == 983 \ No newline at end of file + assert run(1000) == 983 diff --git a/project_euler/27.py b/project_euler/27.py index b9ad8d51..600495c0 100644 --- a/project_euler/27.py +++ b/project_euler/27.py @@ -10,7 +10,7 @@ def f(n: int, a: int, b: int) -> int: - return n ** 2 + a * n + b + return n**2 + a * n + b def count_primes(a: int, b: int, ps: set[int]) -> int: @@ -24,9 +24,9 @@ def count_primes(a: int, b: int, ps: set[int]) -> int: def run(limit: int): candidates: dict[int, tuple[int, int]] = {} - ps = primes_under(limit).tolist() + ps = set([int(p) for p in primes_under(limit)]) + bs = ps.union([-p for p in ps]) - bs = ps + [-p for p in ps] for b in bs: for a in range(-limit, limit + 1): c = count_primes(a, b, ps) @@ -38,4 +38,4 @@ def run(limit: int): def test_run(): - assert run(1000) == -59231 \ No newline at end of file + assert run(1000) == -59231 diff --git a/project_euler/common/primes.py b/project_euler/common/primes.py index 766eb008..3e42da5e 100644 --- a/project_euler/common/primes.py +++ b/project_euler/common/primes.py @@ -26,7 +26,7 @@ def primes_under(n: int) -> np.ndarray: sieve[i * i : n : i] = False # Extract indices where the sieve is True (primes). - return np.flatnonzero(sieve) + return np.flatnonzero(sieve).astype(int) def write_primes(limit: int) -> None: From 791541961733d0b59bf7e367f77bd6eb700536f7 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 17:34:03 -0700 Subject: [PATCH 42/60] 28 --- project_euler/28.py | 61 +++++++++++++++++++++++++++++++++++++++++++++ src/28.rkt | 48 ----------------------------------- 2 files changed, 61 insertions(+), 48 deletions(-) create mode 100644 project_euler/28.py delete mode 100644 src/28.rkt diff --git a/project_euler/28.py b/project_euler/28.py new file mode 100644 index 00000000..67e3aab5 --- /dev/null +++ b/project_euler/28.py @@ -0,0 +1,61 @@ +# Problem 28: Number Spiral Diagonals +# +# What is the sum of the numbers on the diagonals in a 1001x1001 spiral formed in the same way? +# +# See https://projecteuler.net/problem=28 +import numpy as np + +def turn(direction: str) -> str: + return { + 'R': 'D', + 'D': 'L', + 'L': 'U', + 'U': 'R' + }[direction] + + +def next(position: tuple[int, int], direction: str) -> tuple[int, int]: + i, j = position + + return { + 'R': (i + 1, j), + 'D': (i, j - 1), + 'L': (i - 1, j), + 'U': (i, j + 1) + }[direction] + + +def create_spiral(n: int) -> np.ndarray: + spiral = np.zeros((n, n), dtype=int) + + mid = n // 2 + heading = 'U' + (i, j) = (mid, mid) + + for x in range(1, n * n + 1): + # NumPy is row-major order; that is spiral[i][j] == spiral[j, i]. + spiral[j, i] = x + next_heading = turn(heading) + (ni, nj) = next((i, j), next_heading) + + if 0 <= ni < n and 0 <= nj < n and spiral[nj, ni] == 0: + heading = next_heading + (i, j) = (ni, nj) + else: + (i, j) = next((i, j), heading) + + return spiral + + +def run(limit: int) -> int: + spiral = create_spiral(limit) + # Compute sum from top left to bottom right. + main_diag = np.trace(spiral) + # Compute sum from bop right to bottom left but horizontally flipping the spiral. + anti_diag = np.trace(np.fliplr(spiral)) + # Center is double counted, so subtract 1. + return int(main_diag + anti_diag - 1) + + +def test_run(): + assert run(1001) == 669171001 \ No newline at end of file diff --git a/src/28.rkt b/src/28.rkt deleted file mode 100644 index 67c31b32..00000000 --- a/src/28.rkt +++ /dev/null @@ -1,48 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/2darray.rkt") - - -(define (turn heading) - (match heading - ('right 'down) - ('down 'left) - ('left 'up) - ('up 'right))) - -(define (next i j heading) - (match heading - ('right (cons (add1 i) j)) - ('down (cons i (sub1 j))) - ('left (cons (sub1 i) j)) - ('up (cons i (add1 j))))) - -(define (make-spiral n) - (define (loop m p heading n) - (let ((i (car p)) - (j (cdr p))) - (when (2darray-in-bounds? m i j) - (let* ((heading* (turn heading)) - (p* (next i j heading*)) - (i* (car p*)) - (j* (cdr p*))) - (2darray-set! m i j n) - (if (= (2darray-ref m i* j*) 0) - (loop m p* heading* (add1 n)) - (loop m (next i j heading) heading (add1 n))))))) - (let ((m (make-2darray n n))) - (loop m (cons (quotient n 2) (quotient n 2)) 'up 1) - m)) - -(define limit 1001) - -(define spiral (make-spiral limit)) - -(define result - (sub1 - (for*/sum ((i (in-range limit))) - (+ (2darray-ref spiral i i) - (2darray-ref spiral i (- (2darray-num-cols spiral) i 1)))))) - -(displayln result) -(check-equal? result 669171001) From 58a5c5c87cb3839b7551d0bc59807c5020742540 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 17:36:07 -0700 Subject: [PATCH 43/60] 29 --- project_euler/29.py | 16 ++++++++++++++++ 1 file changed, 16 insertions(+) create mode 100644 project_euler/29.py diff --git a/project_euler/29.py b/project_euler/29.py new file mode 100644 index 00000000..63e6b18e --- /dev/null +++ b/project_euler/29.py @@ -0,0 +1,16 @@ +# Problem 29: Distinct Powers +# +# How many distinct terms are in the sequence generated by a^b for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100? +# +# See https://projecteuler.net/problem=29 +def run() -> int: + terms: set[int] = set() + for a in range(2, 101): + for b in range(2, 101): + terms.add(a ** b) + + return len(terms) + + +def test_run(): + assert run() == 9183 \ No newline at end of file From e1493fcd1454eb935d4d7e5c1ae8febfcafb5764 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 17:42:51 -0700 Subject: [PATCH 44/60] 30 --- project_euler/28.py | 19 +++++-------------- project_euler/29.py | 4 ++-- project_euler/30.py | 23 +++++++++++++++++++++++ src/29.rkt | 13 ------------- 4 files changed, 30 insertions(+), 29 deletions(-) create mode 100644 project_euler/30.py delete mode 100644 src/29.rkt diff --git a/project_euler/28.py b/project_euler/28.py index 67e3aab5..0ec424f0 100644 --- a/project_euler/28.py +++ b/project_euler/28.py @@ -5,31 +5,22 @@ # See https://projecteuler.net/problem=28 import numpy as np + def turn(direction: str) -> str: - return { - 'R': 'D', - 'D': 'L', - 'L': 'U', - 'U': 'R' - }[direction] + return {"R": "D", "D": "L", "L": "U", "U": "R"}[direction] def next(position: tuple[int, int], direction: str) -> tuple[int, int]: i, j = position - return { - 'R': (i + 1, j), - 'D': (i, j - 1), - 'L': (i - 1, j), - 'U': (i, j + 1) - }[direction] + return {"R": (i + 1, j), "D": (i, j - 1), "L": (i - 1, j), "U": (i, j + 1)}[direction] def create_spiral(n: int) -> np.ndarray: spiral = np.zeros((n, n), dtype=int) mid = n // 2 - heading = 'U' + heading = "U" (i, j) = (mid, mid) for x in range(1, n * n + 1): @@ -58,4 +49,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1001) == 669171001 \ No newline at end of file + assert run(1001) == 669171001 diff --git a/project_euler/29.py b/project_euler/29.py index 63e6b18e..103420bd 100644 --- a/project_euler/29.py +++ b/project_euler/29.py @@ -7,10 +7,10 @@ def run() -> int: terms: set[int] = set() for a in range(2, 101): for b in range(2, 101): - terms.add(a ** b) + terms.add(a**b) return len(terms) def test_run(): - assert run() == 9183 \ No newline at end of file + assert run() == 9183 diff --git a/project_euler/30.py b/project_euler/30.py new file mode 100644 index 00000000..a2cfcc8e --- /dev/null +++ b/project_euler/30.py @@ -0,0 +1,23 @@ +# Problem 30: Digit Fifth Powers +# +# Find the sum of all the numbers that can be written as the sum of fifth powers of their digits. +# +# See https://projecteuler.net/problem=30 +def digital_sum(n: int) -> int: + return sum(int(d) ** 5 for d in str(n)) + + +def run() -> int: + x = 9**5 + + digits = 1 + while 10 ** (digits - 1) <= digits * x: + digits += 1 + + limit = digits * x + result = sum(i for i in range(10, limit) if i == digital_sum(i)) + return result + + +def test_run(): + assert run() == 443839 diff --git a/src/29.rkt b/src/29.rkt deleted file mode 100644 index b8a7043f..00000000 --- a/src/29.rkt +++ /dev/null @@ -1,13 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/set.rkt") - - -(define result - (set-length - (for*/set ((a (in-range 2 101)) - (b (in-range 2 101))) - (expt a b)))) - -(displayln result) -(check-equal? result 9183) From e0cd2833aea2fd20c4efbbc153f354292c3048fd Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 19:12:08 -0700 Subject: [PATCH 45/60] 31 --- project_euler/31.py | 56 +++++++++++++++++++++++++++++++++++++++++++++ src/30.rkt | 23 ------------------- src/31.rkt | 43 ---------------------------------- 3 files changed, 56 insertions(+), 66 deletions(-) create mode 100644 project_euler/31.py delete mode 100644 src/30.rkt delete mode 100644 src/31.rkt diff --git a/project_euler/31.py b/project_euler/31.py new file mode 100644 index 00000000..e198a899 --- /dev/null +++ b/project_euler/31.py @@ -0,0 +1,56 @@ +# Problem 31: Coin Sums +# +# How many different ways can £2 be made using any number of coins? +# +# See https://projecteuler.net/problem=31 +import functools +from typing import Callable + + +def run() -> int: + P: dict[int, Callable[[int], int]] = {} + + # Number of ways to make change for n using coins of value 1p. + P[1] = lambda n: 1 if n >= 0 else 0 + + # Generate P[x] for x = 2, 5, 10, 20, 50, 100. Each function P[xk] can be created based previous values of xk. + def define_px(x, y): + # Number of ways to make change for n using coins of value x or less. + @functools.lru_cache(maxsize=None) + def px(n): + # Get the function that computes ways to make change for n using y or less. + py = P[y] + + # Number of ways to make change for n using a higher denomination of coin (x). + cx = px(n - x) if n >= x else 0 + + # Number of ways to make change for n using a lower denomination of coin (y). + cy = py(n) + + return cx + cy + + # Now that px(n) has been defined, store it in the dictionary. + P[x] = px + + # Define function that computes ways to make change for n using 2p and 1p. + define_px(2, 1) + # Define function that computes ways to make change for n using 5p, 2p, and 1p. + define_px(5, 2) + # Define function that computes ways to make change for n using 10p, 5p, 2p, and 1p. + define_px(10, 5) + # Define function that computes ways to make change for n using 20p, 10p, 5p, 2p, and 1p. + define_px(20, 10) + # Define function that computes ways to make change for n using 50p, 20p, 10p, 5p, 2p, and 1p. + define_px(50, 20) + # Define function that computes ways to make change for n using £1, 50p, 20p, 10p, 5p, 2p, and 1p. + define_px(100, 50) + # Define function that computes ways to make change for n using £2, £1, 50p, 20p, 10p, 5p, 2p, and 1p. + define_px(200, 100) + + # Get the function that computes ways to make change for £2. + p200 = P[200] + return p200(200) + + +def test_run(): + assert run() == 73682 diff --git a/src/30.rkt b/src/30.rkt deleted file mode 100644 index 53a1f8b0..00000000 --- a/src/30.rkt +++ /dev/null @@ -1,23 +0,0 @@ -#lang racket -(require rackunit) -(require srfi/41) -(require "lib/core.rkt") - - -(define (digital-sum-5 n) - (for/sum ((c (string->list (number->string n)))) - (expt (char->integer* c) 5))) - -(define limit - (let* ((x (expt 9 5)) - (s (stream-take-while (lambda (n) (<= (expt 10 (sub1 n)) x)) - (stream-from 0)))) - (* (stream-length s) x))) - -(define result - (for/sum ((i (range 10 limit)) - #:when (= i (digital-sum-5 i))) - i)) - -(displayln result) -(check-equal? result 443839) diff --git a/src/31.rkt b/src/31.rkt deleted file mode 100644 index 6d77ed46..00000000 --- a/src/31.rkt +++ /dev/null @@ -1,43 +0,0 @@ -#lang racket -(require rackunit) -(require (for-syntax racket/function)) -(require (for-syntax racket/syntax)) - - -(begin-for-syntax - (define (make-id stx id-fragment) - ((compose (curry datum->syntax stx) - string->symbol - (curry format "p~a") - syntax->datum) id-fragment))) - -(define-syntax (define-p stx) - (syntax-case stx () - ((_ x y) - (with-syntax ((px (make-id stx #'x)) - (py (make-id stx #'y))) - #'(define (px n) - (if (>= n 0) - (+ (px (- n x)) (py n)) - 0)))))) - -(define (p1 n) 1) - -(define-p 2 1) - -(define-p 5 2) - -(define-p 10 5) - -(define-p 20 10) - -(define-p 50 20) - -(define-p 100 50) - -(define-p 200 100) - -(define result (p200 200)) - -(displayln result) -(check-equal? result 73682) From a4e8906a8a1597208f7ee25023e5fa5bea09b081 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 19:33:32 -0700 Subject: [PATCH 46/60] 33 --- project_euler/32.py | 42 ++++++++++++++++++++++++++++++ project_euler/33.py | 63 +++++++++++++++++++++++++++++++++++++++++++++ src/32.rkt | 43 ------------------------------- src/33.rkt | 41 ----------------------------- 4 files changed, 105 insertions(+), 84 deletions(-) create mode 100644 project_euler/32.py create mode 100644 project_euler/33.py delete mode 100644 src/32.rkt delete mode 100644 src/33.rkt diff --git a/project_euler/32.py b/project_euler/32.py new file mode 100644 index 00000000..f5b99bf0 --- /dev/null +++ b/project_euler/32.py @@ -0,0 +1,42 @@ +# Problem 32: Pandigital Products +# +# Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 +# pandigital. +# +# See https://projecteuler.net/problem=32 +from itertools import permutations + + +def tuple2int(cs: tuple[str, ...]) -> int: + return int("".join(cs)) + + +def pandigital_product_values(p: tuple[str, ...], i: int, j: int) -> tuple[int, int, int]: + a = tuple2int(p[:i]) + b = tuple2int(p[i : i + j]) + c = tuple2int(p[i + j :]) + return (a, b, c) + + +def run(): + seen: set[int] = set() + products: set[int] = set() + + for p in permutations("123456789"): + # Check form: a * bcde = fghi (1 digit × 4 digits = 4 digits) + (a, b, c) = pandigital_product_values(p, 1, 4) + if c not in seen and c == a * b: + products.add(c) + seen.add(c) + + # Check form: ab * cde = fghi (2 digits × 3 digits = 4 digits) + (a, b, c) = pandigital_product_values(p, 2, 3) + if c not in seen and c == a * b: + products.add(c) + seen.add(c) + + return sum(products) + + +def test_run(): + assert run() == 45228 diff --git a/project_euler/33.py b/project_euler/33.py new file mode 100644 index 00000000..6b064aa8 --- /dev/null +++ b/project_euler/33.py @@ -0,0 +1,63 @@ +# Problem 33: Digit Cancelling Fractions +# +# Find four non-trivial examples of digit cancelling fractions, less than one in value, express them in lowest common +# terms, multiply them, and return the denominator of the product. +# +# See https://projecteuler.net/problem=33 +from math import gcd +from functools import reduce + +def int2list(n: int) -> list[int]: + return [int(d) for d in str(n)] + +def list2int(ds: list[int]) -> int: + return int(''.join(map(str, ds))) + +def denominators(n: int) -> list[int]: + a, b = int2list(n) + xs: set[int] = set() + + for i in range(a, 10): + xs.add(list2int([i, b])) + xs.add(list2int([b, i])) + + for i in range(a, 10): + xs.add(list2int([i, a])) + xs.add(list2int([a, i])) + + return sorted(x for x in xs if x > n) + +def cancellable(m: int, n: int) -> bool: + m_digits = int2list(m) + n_digits = int2list(n) + + if 0 in m_digits or 0 in n_digits: + return False + + v = m / n + a, b = m_digits + c, d = n_digits + + return ( + (a == c and d != 0 and v == b / d) or + (a == d and c != 0 and v == b / c) or + (b == c and d != 0 and v == a / d) or + (b == d and c != 0 and v == a / c) + ) + +def run(): + fracs = [] + for n in range(11, 100): + for d in denominators(n): + if cancellable(n, d): + fracs.append((n, d)) + + ns = reduce(lambda a, b: a * b, (n for n, _ in fracs)) + ds = reduce(lambda a, b: a * b, (d for _, d in fracs)) + x = gcd(ns, ds) + + return ds // x + + +def test_run(): + assert run() == 100 \ No newline at end of file diff --git a/src/32.rkt b/src/32.rkt deleted file mode 100644 index 206cac0d..00000000 --- a/src/32.rkt +++ /dev/null @@ -1,43 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") - - -(define pandigital-products (make-hash)) - -(define (pandigital-product-values n i j) - (let*-values (((lst) (integer->char-list n)) - ((a rst) (split-at lst i)) - ((b c) (split-at rst j)) - ((a*) (char-list->integer a)) - ((b*) (char-list->integer b)) - ((c*) (char-list->integer c))) - (list a* b* c*))) - -(define (check-pandigital-product a b c) - ; If abc forms a pandigital product, then bac forms one as well. - (let ((p1 (list->integer (list a b c))) - (p2 (list->integer (list b a c)))) - (when (and (not (hash-has-key? pandigital-products p1)) - (= c (* a b))) - (hash-set! pandigital-products p1 c) - (hash-set! pandigital-products p2 c)))) - -(define result 0) - -(begin - (for ((p (permutations (range 1 10)))) - (let ((n (list->integer p))) - ; Check for products formed by a * bcde = fghi or abcd * e = fghi. - (apply check-pandigital-product (pandigital-product-values n 1 4)) - ; Check for products formed by ab * cde = fghi or abc * de = fghi. - ; It's impossible to have a product with 5 digits because: - ; (* 9 876) and (* 98 76) don't have 5 digits, but those are the max - ; products you can get with the 4 remaining digits. - (apply check-pandigital-product (pandigital-product-values n 2 3)))) - (set! result - (for/sum ((i (distinct (hash-values pandigital-products)))) - i))) - -(displayln result) -(check-equal? result 45228) diff --git a/src/33.rkt b/src/33.rkt deleted file mode 100644 index a08f5676..00000000 --- a/src/33.rkt +++ /dev/null @@ -1,41 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") - - -(define (denominators n) - (define (denominators* digit start) - (flatten - (for/list ((i (in-range start 10))) - (list (list->integer (list i digit)) - (list->integer (list digit i)))))) - (let* ((lst (integer->list n)) - (a (car lst)) - (b (cadr lst))) - (filter (curryr > n) - (distinct (append (denominators* a a) (denominators* b a)))))) - -(define (cancellable? m n) - (let* ((m* (integer->list m)) - (n* (integer->list n)) - (v (/ m n)) - (a (car m*)) - (b (cadr m*)) - (c (car n*)) - (d (cadr n*))) - (cond ((ormap zero? (list a b c d)) #f) - ((= a c) (= v (/ b d))) - ((= a d) (= v (/ b c))) - ((= b c) (= v (/ a d))) - ((= b d) (= v (/ a c))) - (else #f)))) - -(define result - (denominator - (for*/product ((m (range 11 99)) - (n (denominators m)) - #:when (cancellable? m n)) - (/ m n)))) - -(displayln result) -(check-equal? result 100) From df57c3be266e44c6fc9e4a63d9c883b14d208571 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 19:47:08 -0700 Subject: [PATCH 47/60] 36 --- poetry.lock | 58 ++++++++++++++++++++++------------ project_euler/33.py | 19 +++++++---- project_euler/34.py | 33 +++++++++++++++++++ project_euler/35.py | 33 +++++++++++++++++++ project_euler/36.py | 21 ++++++++++++ project_euler/common/primes.py | 15 ++++++--- pyproject.toml | 1 + src/34.rkt | 26 --------------- src/35.rkt | 28 ---------------- 9 files changed, 148 insertions(+), 86 deletions(-) create mode 100644 project_euler/34.py create mode 100644 project_euler/35.py create mode 100644 project_euler/36.py delete mode 100644 src/34.rkt delete mode 100644 src/35.rkt diff --git a/poetry.lock b/poetry.lock index b9236bbb..d86a6522 100644 --- a/poetry.lock +++ b/poetry.lock @@ -1,4 +1,4 @@ -# This file is automatically @generated by Poetry 2.1.1 and should not be changed by hand. +# This file is automatically @generated by Poetry 1.8.5 and should not be changed by hand. [[package]] name = "black" @@ -6,7 +6,6 @@ version = "25.1.0" description = "The uncompromising code formatter." optional = false python-versions = ">=3.9" -groups = ["dev"] files = [ {file = "black-25.1.0-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:759e7ec1e050a15f89b770cefbf91ebee8917aac5c20483bc2d80a6c3a04df32"}, {file = "black-25.1.0-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:0e519ecf93120f34243e6b0054db49c00a35f84f195d5bce7e9f5cfc578fc2da"}, @@ -51,7 +50,6 @@ version = "8.1.8" description = "Composable command line interface toolkit" optional = false python-versions = ">=3.7" -groups = ["dev"] files = [ {file = "click-8.1.8-py3-none-any.whl", hash = "sha256:63c132bbbed01578a06712a2d1f497bb62d9c1c0d329b7903a866228027263b2"}, {file = "click-8.1.8.tar.gz", hash = "sha256:ed53c9d8990d83c2a27deae68e4ee337473f6330c040a31d4225c9574d16096a"}, @@ -66,8 +64,6 @@ version = "0.4.6" description = "Cross-platform colored terminal text." optional = false python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7" -groups = ["dev"] -markers = "platform_system == \"Windows\" or sys_platform == \"win32\"" files = [ {file = "colorama-0.4.6-py2.py3-none-any.whl", hash = "sha256:4f1d9991f5acc0ca119f9d443620b77f9d6b33703e51011c16baf57afb285fc6"}, {file = "colorama-0.4.6.tar.gz", hash = "sha256:08695f5cb7ed6e0531a20572697297273c47b8cae5a63ffc6d6ed5c201be6e44"}, @@ -79,7 +75,6 @@ version = "2.1.0" description = "brain-dead simple config-ini parsing" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "iniconfig-2.1.0-py3-none-any.whl", hash = "sha256:9deba5723312380e77435581c6bf4935c94cbfab9b1ed33ef8d238ea168eb760"}, {file = "iniconfig-2.1.0.tar.gz", hash = "sha256:3abbd2e30b36733fee78f9c7f7308f2d0050e88f0087fd25c2645f63c773e1c7"}, @@ -91,7 +86,6 @@ version = "6.0.1" description = "A Python utility / library to sort Python imports." optional = false python-versions = ">=3.9.0" -groups = ["dev"] files = [ {file = "isort-6.0.1-py3-none-any.whl", hash = "sha256:2dc5d7f65c9678d94c88dfc29161a320eec67328bc97aad576874cb4be1e9615"}, {file = "isort-6.0.1.tar.gz", hash = "sha256:1cb5df28dfbc742e490c5e41bad6da41b805b0a8be7bc93cd0fb2a8a890ac450"}, @@ -101,13 +95,29 @@ files = [ colors = ["colorama"] plugins = ["setuptools"] +[[package]] +name = "mpmath" +version = "1.3.0" +description = "Python library for arbitrary-precision floating-point arithmetic" +optional = false +python-versions = "*" +files = [ + {file = "mpmath-1.3.0-py3-none-any.whl", hash = "sha256:a0b2b9fe80bbcd81a6647ff13108738cfb482d481d826cc0e02f5b35e5c88d2c"}, + {file = "mpmath-1.3.0.tar.gz", hash = "sha256:7a28eb2a9774d00c7bc92411c19a89209d5da7c4c9a9e227be8330a23a25b91f"}, +] + +[package.extras] +develop = ["codecov", "pycodestyle", "pytest (>=4.6)", "pytest-cov", "wheel"] +docs = ["sphinx"] +gmpy = ["gmpy2 (>=2.1.0a4)"] +tests = ["pytest (>=4.6)"] + [[package]] name = "mypy-extensions" version = "1.0.0" description = "Type system extensions for programs checked with the mypy type checker." optional = false python-versions = ">=3.5" -groups = ["dev"] files = [ {file = "mypy_extensions-1.0.0-py3-none-any.whl", hash = "sha256:4392f6c0eb8a5668a69e23d168ffa70f0be9ccfd32b5cc2d26a34ae5b844552d"}, {file = "mypy_extensions-1.0.0.tar.gz", hash = "sha256:75dbf8955dc00442a438fc4d0666508a9a97b6bd41aa2f0ffe9d2f2725af0782"}, @@ -119,7 +129,6 @@ version = "1.9.1" description = "Node.js virtual environment builder" optional = false python-versions = "!=3.0.*,!=3.1.*,!=3.2.*,!=3.3.*,!=3.4.*,!=3.5.*,!=3.6.*,>=2.7" -groups = ["dev"] files = [ {file = "nodeenv-1.9.1-py2.py3-none-any.whl", hash = "sha256:ba11c9782d29c27c70ffbdda2d7415098754709be8a7056d79a737cd901155c9"}, {file = "nodeenv-1.9.1.tar.gz", hash = "sha256:6ec12890a2dab7946721edbfbcd91f3319c6ccc9aec47be7c7e6b7011ee6645f"}, @@ -131,7 +140,6 @@ version = "2.2.4" description = "Fundamental package for array computing in Python" optional = false python-versions = ">=3.10" -groups = ["main"] files = [ {file = "numpy-2.2.4-cp310-cp310-macosx_10_9_x86_64.whl", hash = "sha256:8146f3550d627252269ac42ae660281d673eb6f8b32f113538e0cc2a9aed42b9"}, {file = "numpy-2.2.4-cp310-cp310-macosx_11_0_arm64.whl", hash = "sha256:e642d86b8f956098b564a45e6f6ce68a22c2c97a04f5acd3f221f57b8cb850ae"}, @@ -196,7 +204,6 @@ version = "24.2" description = "Core utilities for Python packages" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "packaging-24.2-py3-none-any.whl", hash = "sha256:09abb1bccd265c01f4a3aa3f7a7db064b36514d2cba19a2f694fe6150451a759"}, {file = "packaging-24.2.tar.gz", hash = "sha256:c228a6dc5e932d346bc5739379109d49e8853dd8223571c7c5b55260edc0b97f"}, @@ -208,7 +215,6 @@ version = "0.12.1" description = "Utility library for gitignore style pattern matching of file paths." optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "pathspec-0.12.1-py3-none-any.whl", hash = "sha256:a0d503e138a4c123b27490a4f7beda6a01c6f288df0e4a8b79c7eb0dc7b4cc08"}, {file = "pathspec-0.12.1.tar.gz", hash = "sha256:a482d51503a1ab33b1c67a6c3813a26953dbdc71c31dacaef9a838c4e29f5712"}, @@ -220,7 +226,6 @@ version = "4.3.7" description = "A small Python package for determining appropriate platform-specific dirs, e.g. a `user data dir`." optional = false python-versions = ">=3.9" -groups = ["dev"] files = [ {file = "platformdirs-4.3.7-py3-none-any.whl", hash = "sha256:a03875334331946f13c549dbd8f4bac7a13a50a895a0eb1e8c6a8ace80d40a94"}, {file = "platformdirs-4.3.7.tar.gz", hash = "sha256:eb437d586b6a0986388f0d6f74aa0cde27b48d0e3d66843640bfb6bdcdb6e351"}, @@ -237,7 +242,6 @@ version = "1.5.0" description = "plugin and hook calling mechanisms for python" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "pluggy-1.5.0-py3-none-any.whl", hash = "sha256:44e1ad92c8ca002de6377e165f3e0f1be63266ab4d554740532335b9d75ea669"}, {file = "pluggy-1.5.0.tar.gz", hash = "sha256:2cffa88e94fdc978c4c574f15f9e59b7f4201d439195c3715ca9e2486f1d0cf1"}, @@ -253,7 +257,6 @@ version = "1.1.397" description = "Command line wrapper for pyright" optional = false python-versions = ">=3.7" -groups = ["dev"] files = [ {file = "pyright-1.1.397-py3-none-any.whl", hash = "sha256:2e93fba776e714a82b085d68f8345b01f91ba43e1ab9d513e79b70fc85906257"}, {file = "pyright-1.1.397.tar.gz", hash = "sha256:07530fd65a449e4b0b28dceef14be0d8e0995a7a5b1bb2f3f897c3e548451ce3"}, @@ -274,7 +277,6 @@ version = "8.3.5" description = "pytest: simple powerful testing with Python" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "pytest-8.3.5-py3-none-any.whl", hash = "sha256:c69214aa47deac29fad6c2a4f590b9c4a9fdb16a403176fe154b79c0b4d4d820"}, {file = "pytest-8.3.5.tar.gz", hash = "sha256:f4efe70cc14e511565ac476b57c279e12a855b11f48f212af1080ef2263d3845"}, @@ -295,7 +297,6 @@ version = "0.9.10" description = "An extremely fast Python linter and code formatter, written in Rust." optional = false python-versions = ">=3.7" -groups = ["dev"] files = [ {file = "ruff-0.9.10-py3-none-linux_armv6l.whl", hash = "sha256:eb4d25532cfd9fe461acc83498361ec2e2252795b4f40b17e80692814329e42d"}, {file = "ruff-0.9.10-py3-none-macosx_10_12_x86_64.whl", hash = "sha256:188a6638dab1aa9bb6228a7302387b2c9954e455fb25d6b4470cb0641d16759d"}, @@ -317,13 +318,29 @@ files = [ {file = "ruff-0.9.10.tar.gz", hash = "sha256:9bacb735d7bada9cfb0f2c227d3658fc443d90a727b47f206fb33f52f3c0eac7"}, ] +[[package]] +name = "sympy" +version = "1.13.3" +description = "Computer algebra system (CAS) in Python" +optional = false +python-versions = ">=3.8" +files = [ + {file = "sympy-1.13.3-py3-none-any.whl", hash = "sha256:54612cf55a62755ee71824ce692986f23c88ffa77207b30c1368eda4a7060f73"}, + {file = "sympy-1.13.3.tar.gz", hash = "sha256:b27fd2c6530e0ab39e275fc9b683895367e51d5da91baa8d3d64db2565fec4d9"}, +] + +[package.dependencies] +mpmath = ">=1.1.0,<1.4" + +[package.extras] +dev = ["hypothesis (>=6.70.0)", "pytest (>=7.1.0)"] + [[package]] name = "toolz" version = "1.0.0" description = "List processing tools and functional utilities" optional = false python-versions = ">=3.8" -groups = ["main"] files = [ {file = "toolz-1.0.0-py3-none-any.whl", hash = "sha256:292c8f1c4e7516bf9086f8850935c799a874039c8bcf959d47b600e4c44a6236"}, {file = "toolz-1.0.0.tar.gz", hash = "sha256:2c86e3d9a04798ac556793bced838816296a2f085017664e4995cb40a1047a02"}, @@ -335,13 +352,12 @@ version = "4.12.2" description = "Backported and Experimental Type Hints for Python 3.8+" optional = false python-versions = ">=3.8" -groups = ["dev"] files = [ {file = "typing_extensions-4.12.2-py3-none-any.whl", hash = "sha256:04e5ca0351e0f3f85c6853954072df659d0d13fac324d0072316b67d7794700d"}, {file = "typing_extensions-4.12.2.tar.gz", hash = "sha256:1a7ead55c7e559dd4dee8856e3a88b41225abfe1ce8df57b7c13915fe121ffb8"}, ] [metadata] -lock-version = "2.1" +lock-version = "2.0" python-versions = "^3.13" -content-hash = "8a42556126d0dacc83e2dc95cabcf299ecaf51ed42b8416d66d81e5049ba77af" +content-hash = "86bf8ee19284a78be921f0c8a4135c7ce77e3bf1e06826051b0b8a5d82f96492" diff --git a/project_euler/33.py b/project_euler/33.py index 6b064aa8..a80d83e2 100644 --- a/project_euler/33.py +++ b/project_euler/33.py @@ -4,14 +4,17 @@ # terms, multiply them, and return the denominator of the product. # # See https://projecteuler.net/problem=33 -from math import gcd from functools import reduce +from math import gcd + def int2list(n: int) -> list[int]: return [int(d) for d in str(n)] + def list2int(ds: list[int]) -> int: - return int(''.join(map(str, ds))) + return int("".join(map(str, ds))) + def denominators(n: int) -> list[int]: a, b = int2list(n) @@ -27,6 +30,7 @@ def denominators(n: int) -> list[int]: return sorted(x for x in xs if x > n) + def cancellable(m: int, n: int) -> bool: m_digits = int2list(m) n_digits = int2list(n) @@ -39,12 +43,13 @@ def cancellable(m: int, n: int) -> bool: c, d = n_digits return ( - (a == c and d != 0 and v == b / d) or - (a == d and c != 0 and v == b / c) or - (b == c and d != 0 and v == a / d) or - (b == d and c != 0 and v == a / c) + (a == c and d != 0 and v == b / d) + or (a == d and c != 0 and v == b / c) + or (b == c and d != 0 and v == a / d) + or (b == d and c != 0 and v == a / c) ) + def run(): fracs = [] for n in range(11, 100): @@ -60,4 +65,4 @@ def run(): def test_run(): - assert run() == 100 \ No newline at end of file + assert run() == 100 diff --git a/project_euler/34.py b/project_euler/34.py new file mode 100644 index 00000000..cb2cad91 --- /dev/null +++ b/project_euler/34.py @@ -0,0 +1,33 @@ +# Problem 34: Digit Factorials +# +# Find the sum of all numbers which are equal to the sum of the factorial of their digits. +# +# See https://projecteuler.net/problem=34 +from math import factorial, log10 + + +def digit_factorial(n: int) -> int: + return sum(factorial(int(d)) for d in str(n)) + + +def is_factorion(n: int) -> bool: + return n == digit_factorial(n) + + +def max_digits(limit: float) -> int: + d = 1 + while (d - 1 - log10(d)) < limit: + d += 1 + return d - 1 + + +def run() -> int: + limit = sum(log10(i) for i in range(1, 10)) + digits = max_digits(limit) + max_factorion = factorial(9) * digits + + return sum(n for n in range(3, max_factorion + 1) if is_factorion(n)) + + +def test_run(): + assert run() == 40730 diff --git a/project_euler/35.py b/project_euler/35.py new file mode 100644 index 00000000..992b6d61 --- /dev/null +++ b/project_euler/35.py @@ -0,0 +1,33 @@ +# Problem 35: Circular Primes +# +# A circular prime is a number for which all rotations of its digits are also prime. For example: 197 → 971 → 719. +# +# How many circular primes are there below one million? +# +# See https://projecteuler.net/problem=35 +from project_euler.common.primes import is_prime, primes + + +def rotate(xs: list[int]) -> list[int]: + return xs[1:] + [xs[0]] + + +def rotations(n: int) -> list[int]: + digits = list(str(n)) + xs: list[int] = [] + for _ in range(len(digits)): + digits = rotate(digits) + xs.append(int("".join(digits))) + return xs + + +def is_circular_prime(n: int) -> bool: + return all(is_prime(p) for p in rotations(n)) + + +def run() -> int: + return sum(1 for p in primes() if is_circular_prime(p)) + + +def test_run(): + assert run() == 55 diff --git a/project_euler/36.py b/project_euler/36.py new file mode 100644 index 00000000..97e7500d --- /dev/null +++ b/project_euler/36.py @@ -0,0 +1,21 @@ +# Problem 36: Double-base Palindromes +# +# Find the sum of all numbers, less than one million, which are palindromic in base 10 and base 2. +# +# See https://projecteuler.net/problem=36 +def is_palindrome(s: str) -> bool: + return s == s[::-1] + + +def is_double_base_palindrome(n: int) -> bool: + base_10 = str(n) + base_2 = bin(n)[2:] + return is_palindrome(base_10) and is_palindrome(base_2) + + +def run(limit: int) -> int: + return sum(n for n in range(limit + 1) if is_double_base_palindrome(n)) + + +def test_run(): + run(1_000_000) == 872187 diff --git a/project_euler/common/primes.py b/project_euler/common/primes.py index 3e42da5e..c1848f81 100644 --- a/project_euler/common/primes.py +++ b/project_euler/common/primes.py @@ -2,7 +2,7 @@ import numpy as np -primes: set[int] = set() +PRIMES: set[int] = set() def primes_under(n: int) -> np.ndarray: @@ -43,11 +43,18 @@ def read_primes() -> list[int]: return [int(line.strip()) for line in file] +def primes() -> set[int]: + if not PRIMES: + PRIMES.update(read_primes()) + + return PRIMES + + def is_prime(n: int) -> bool: - if not primes: - primes.update(read_primes()) + if not PRIMES: + PRIMES.update(read_primes()) - return n in primes + return n in PRIMES if __name__ == "__main__": diff --git a/pyproject.toml b/pyproject.toml index fcc605b3..ab24ef02 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -16,6 +16,7 @@ primes = "scripts:run_primes" [tool.poetry.dependencies] numpy = "^2.2.4" python = "^3.13" +sympy = "^1.13.3" toolz = "^1.0.0" [tool.poetry.group.dev.dependencies] diff --git a/src/34.rkt b/src/34.rkt deleted file mode 100644 index d7f6edea..00000000 --- a/src/34.rkt +++ /dev/null @@ -1,26 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") -(require "lib/number-theory.rkt") - - -(define limit (for/sum ((i (in-range 1 10))) - (log10 i))) - -(define max-digits - (letrec ((loop (lambda (d) - (if (< (- d 1 (log10 d)) limit) - (loop (add1 d)) - (sub1 d))))) - (loop 1))) - -(define max-factorion - (* (factorial 9) max-digits)) - -(define result - (for/sum ((n (range 3 (add1 max-factorion))) - #:when (factorion? n)) - n)) - -(displayln result) -(check-equal? result 40730) diff --git a/src/35.rkt b/src/35.rkt deleted file mode 100644 index fd19d6e8..00000000 --- a/src/35.rkt +++ /dev/null @@ -1,28 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") -(require "lib/number-theory.rkt") - - -(define primes - (filter (curryr < 1000000) (file->list "/data/primes.txt"))) - -(define (rotate lst) - (append (cdr lst) (list (car lst)))) - -(define (rotations n) - (define (loop lst acc) - (let ((lst* (rotate lst)) - (acc* (if (empty? acc) (list lst) acc))) - (if (= (length lst*) (length acc*)) - acc* - (loop lst* (append acc* (list lst*)))))) - (map list->integer (loop (integer->list n) empty))) - -(define (circular? p) - (andmap prime? (rotations p))) - -(define result (length (filter circular? primes))) - -(displayln result) -(check-equal? result 55) From 95c088b2254acb3b960641122ff433ce09643156 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 19:53:38 -0700 Subject: [PATCH 48/60] 37 --- project_euler/37.py | 50 ++++++++++++++++++++++++++++++++++++++++++++ src/36.rkt | 18 ---------------- src/37.rkt | 41 ------------------------------------ test/107.test.ts | 7 ------- test/12.test.ts | 7 ------- test/120.test.ts | 7 ------- test/123.test.ts | 7 ------- test/13.test.ts | 7 ------- test/14.test.ts | 7 ------- test/15.test.ts | 10 --------- test/16.test.ts | 7 ------- test/17.test.ts | 7 ------- test/18.test.ts | 7 ------- test/188.test.ts | 7 ------- test/19.test.ts | 7 ------- test/20.test.ts | 7 ------- test/21.test.ts | 7 ------- test/22.test.ts | 7 ------- test/23.test.ts | 7 ------- test/40.test.ts | 7 ------- test/48.test.ts | 9 -------- test/52.test.ts | 7 ------- test/53.test.ts | 7 ------- test/67.test.ts | 7 ------- test/69.test.ts | 7 ------- test/70.test.ts | 7 ------- test/76.test.ts | 7 ------- test/jest.config.mjs | 12 ----------- 28 files changed, 50 insertions(+), 244 deletions(-) create mode 100644 project_euler/37.py delete mode 100644 src/36.rkt delete mode 100644 src/37.rkt delete mode 100644 test/107.test.ts delete mode 100644 test/12.test.ts delete mode 100644 test/120.test.ts delete mode 100644 test/123.test.ts delete mode 100644 test/13.test.ts delete mode 100644 test/14.test.ts delete mode 100644 test/15.test.ts delete mode 100644 test/16.test.ts delete mode 100644 test/17.test.ts delete mode 100644 test/18.test.ts delete mode 100644 test/188.test.ts delete mode 100644 test/19.test.ts delete mode 100644 test/20.test.ts delete mode 100644 test/21.test.ts delete mode 100644 test/22.test.ts delete mode 100644 test/23.test.ts delete mode 100644 test/40.test.ts delete mode 100644 test/48.test.ts delete mode 100644 test/52.test.ts delete mode 100644 test/53.test.ts delete mode 100644 test/67.test.ts delete mode 100644 test/69.test.ts delete mode 100644 test/70.test.ts delete mode 100644 test/76.test.ts delete mode 100644 test/jest.config.mjs diff --git a/project_euler/37.py b/project_euler/37.py new file mode 100644 index 00000000..2da498d0 --- /dev/null +++ b/project_euler/37.py @@ -0,0 +1,50 @@ +# Problem 37: Truncatable Primes +# +# Find the sum of the only eleven primes that are both truncatable from left to right and right to left. +# +# See https://projecteuler.net/problem=37 +from project_euler.common.primes import is_prime + + +def truncate(n: int, direction: str) -> int: + s = str(n) + + if direction == "L": + return int(s[1:]) + elif direction == "R": + return int(s[:-1]) + + raise ValueError("invalid direction") + + +def is_truncatable(n: int, direction: str) -> bool: + if not is_prime(n): + return False + + if n < 10: + return True + + return is_truncatable(truncate(n, direction), direction) + + +def is_fully_truncatable(n: int) -> bool: + return is_truncatable(n, "L") and is_truncatable(n, "R") + + +def run(limit=11) -> list[int]: + result: list[int] = [] + + # Exclude 2, 3, 5, and 7; they are not truncatable. + p = 11 + while len(result) < limit: + if is_fully_truncatable(p): + result.append(p) + + # Exclude even numbers; they cannot be prime. + p += 2 + + return sum(result) + + +def test_run(): + assert run() == 748317 diff --git a/src/36.rkt b/src/36.rkt deleted file mode 100644 index 69028a87..00000000 --- a/src/36.rkt +++ /dev/null @@ -1,18 +0,0 @@ -#lang racket -(require rackunit) - - -(define (palindrome? x) - (if (string? x) - (let ((lst (string->list x))) - (equal? lst (reverse lst))) - (and (palindrome? (number->string x 2)) - (palindrome? (number->string x 10))))) - -(define result - (for/sum ((n (in-range 1000000)) - #:when (palindrome? n)) - n)) - -(displayln result) -(check-equal? result 872187) diff --git a/src/37.rkt b/src/37.rkt deleted file mode 100644 index f63aa898..00000000 --- a/src/37.rkt +++ /dev/null @@ -1,41 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") -(require "lib/string.rkt") -(require "lib/number-theory.rkt") - -(define primes - (filter (curryr < 1000000) (file->list "/data/primes.txt"))) - -(define limit 11) - -(define (truncate* n direction) - (let* ((s (number->string n)) - (k (if (symbol=? direction 'left) - (string-drop 1 s) - (string-take (sub1 (string-length s)) s)))) - (string->number k))) - -(define truncatable? - (case-lambda - ((n) (and (truncatable? n 'left) (truncatable? n 'right))) - ((n direction) (and (prime? n) - (or (< n 10) - (truncatable? (truncate* n direction) - direction)))))) - -(define find-primes - (case-lambda - ((ps) (find-primes ps '())) - ((ps ts) (let ((p (car ps))) - (cond ((< p limit) (find-primes (cdr ps) ts)) - ((= (length ts) limit) ts) - (else (if (truncatable? p) - (find-primes (cdr ps) (cons p ts)) - (find-primes (cdr ps) ts)))))))) - -(define result - (for/sum ((p (find-primes primes))) p)) - -(displayln result) -(check-equal? result 748317) diff --git a/test/107.test.ts b/test/107.test.ts deleted file mode 100644 index 7493b6ed..00000000 --- a/test/107.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/107'; - -describe('minimal network', () => { - test('problem 107', async () => { - expect(compute()).toBe(259679); - }); -}); diff --git a/test/12.test.ts b/test/12.test.ts deleted file mode 100644 index a9e552b1..00000000 --- a/test/12.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/12'; - -describe('highly divisible triangular number', () => { - test('problem 12', async () => { - expect(compute(500)).toBe(76576500); - }); -}); diff --git a/test/120.test.ts b/test/120.test.ts deleted file mode 100644 index b73688e3..00000000 --- a/test/120.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/120'; - -describe('square remainders', () => { - test('problem 120', async () => { - expect(compute()).toBe(333082500); - }); -}); diff --git a/test/123.test.ts b/test/123.test.ts deleted file mode 100644 index 5b2ef7f1..00000000 --- a/test/123.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/123'; - -describe('prime square remainders', () => { - test('problem 123', async () => { - expect(compute(1e10)).toBe(21035); - }); -}); diff --git a/test/13.test.ts b/test/13.test.ts deleted file mode 100644 index 90f414f5..00000000 --- a/test/13.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/13'; - -describe('large sum', () => { - test('problem 13', async () => { - expect(compute()).toBe(5537376230); - }); -}); diff --git a/test/14.test.ts b/test/14.test.ts deleted file mode 100644 index b4875efd..00000000 --- a/test/14.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/14'; - -describe('longest collatz sequence', () => { - test('problem 14', async () => { - expect(compute(1_000_000)).toBe(837799); - }); -}); diff --git a/test/15.test.ts b/test/15.test.ts deleted file mode 100644 index e3e0bc6e..00000000 --- a/test/15.test.ts +++ /dev/null @@ -1,10 +0,0 @@ -import _ from 'lodash'; -import compute from '../src/15'; - -describe('lattice paths', () => { - test('problem 15', async () => { - // Jest cannot compare bigints very well, so we have to convert them to strings. - const value = _.toString(compute()); - expect(value).toBe('137846528820'); - }); -}); diff --git a/test/16.test.ts b/test/16.test.ts deleted file mode 100644 index 83e7bf49..00000000 --- a/test/16.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/16'; - -describe('power digit sum', () => { - test('problem 16', async () => { - expect(compute(2, 1000)).toBe(1366); - }); -}); diff --git a/test/17.test.ts b/test/17.test.ts deleted file mode 100644 index 1abebecb..00000000 --- a/test/17.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/17'; - -describe('number letter counts', () => { - test('problem 17', async () => { - expect(compute()).toBe(21124); - }); -}); diff --git a/test/18.test.ts b/test/18.test.ts deleted file mode 100644 index 3f9e12a5..00000000 --- a/test/18.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/18'; - -describe('maximum path sum i', () => { - test('problem 18', async () => { - expect(compute()).toBe(1074); - }); -}); diff --git a/test/188.test.ts b/test/188.test.ts deleted file mode 100644 index 6a691dae..00000000 --- a/test/188.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/188'; - -describe('hyperexponentiation', () => { - test('problem 188', async () => { - expect(compute()).toBe(95962097); - }); -}); diff --git a/test/19.test.ts b/test/19.test.ts deleted file mode 100644 index 9dddb611..00000000 --- a/test/19.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/19'; - -describe('counting sundays', () => { - test('problem 19', async () => { - expect(compute()).toBe(171); - }); -}); diff --git a/test/20.test.ts b/test/20.test.ts deleted file mode 100644 index 85c930c7..00000000 --- a/test/20.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/20'; - -describe('factorial digit sum', () => { - test('problem 20', async () => { - expect(compute(100)).toBe(648); - }); -}); diff --git a/test/21.test.ts b/test/21.test.ts deleted file mode 100644 index 2ab1c3fc..00000000 --- a/test/21.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/21'; - -describe('amicable numbers', () => { - test('problem 21', async () => { - expect(compute(10_000)).toBe(31626); - }); -}); diff --git a/test/22.test.ts b/test/22.test.ts deleted file mode 100644 index 9df60adc..00000000 --- a/test/22.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/22'; - -describe('name scores', () => { - test('problem 22', async () => { - expect(compute()).toBe(871198282); - }); -}); diff --git a/test/23.test.ts b/test/23.test.ts deleted file mode 100644 index cce81cd2..00000000 --- a/test/23.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/23'; - -describe('non-abundant sums', () => { - test('problem 23', async () => { - expect(compute(28123)).toBe(4179871); - }); -}); diff --git a/test/40.test.ts b/test/40.test.ts deleted file mode 100644 index 10b63472..00000000 --- a/test/40.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/40'; - -describe("champernowne's constant", () => { - test('problem 40', async () => { - expect(compute()).toBe(210); - }); -}); diff --git a/test/48.test.ts b/test/48.test.ts deleted file mode 100644 index f717ca78..00000000 --- a/test/48.test.ts +++ /dev/null @@ -1,9 +0,0 @@ -import _ from 'lodash'; -import compute from '../src/48'; - -describe('self powers', () => { - test('problem 48', async () => { - const value = compute(); - expect(_.toString(value)).toBe('9110846700'); - }); -}); diff --git a/test/52.test.ts b/test/52.test.ts deleted file mode 100644 index a0b23a16..00000000 --- a/test/52.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/52'; - -describe('permuted multiples', () => { - test('problem 52', async () => { - expect(compute()).toBe(142857); - }); -}); diff --git a/test/53.test.ts b/test/53.test.ts deleted file mode 100644 index 9c1c4a1e..00000000 --- a/test/53.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/53'; - -describe('combinatoric selections', () => { - test('problem 53', async () => { - expect(compute(100)).toBe(4075); - }); -}); diff --git a/test/67.test.ts b/test/67.test.ts deleted file mode 100644 index f91e4ec0..00000000 --- a/test/67.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/67'; - -describe('maximum path sum ii', () => { - test('problem 67', async () => { - expect(compute()).toBe(7273); - }); -}); diff --git a/test/69.test.ts b/test/69.test.ts deleted file mode 100644 index fed49a38..00000000 --- a/test/69.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/69'; - -describe('totient maximum', () => { - test('problem 69', async () => { - expect(compute(1_000_000)).toBe(510510); - }); -}); diff --git a/test/70.test.ts b/test/70.test.ts deleted file mode 100644 index 3f1febc7..00000000 --- a/test/70.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/70'; - -describe('totient permutation', () => { - test('problem 70', async () => { - expect(compute(1e7)).toBe(8319823); - }); -}); diff --git a/test/76.test.ts b/test/76.test.ts deleted file mode 100644 index 86b7a8b6..00000000 --- a/test/76.test.ts +++ /dev/null @@ -1,7 +0,0 @@ -import compute from '../src/76'; - -describe('counting summations', () => { - test('problem 76', async () => { - expect(compute(100)).toBe(190569291); - }); -}); diff --git a/test/jest.config.mjs b/test/jest.config.mjs deleted file mode 100644 index a5c55685..00000000 --- a/test/jest.config.mjs +++ /dev/null @@ -1,12 +0,0 @@ -export default { - clearMocks: true, - moduleFileExtensions: ['js', 'ts'], - modulePaths: [''], - testEnvironment: 'node', - testMatch: ['**/*.test.ts'], - testTimeout: 1000, - transform: { - '^.+\\.ts$': 'ts-jest' - }, - verbose: true -}; From d0ec5711b519ef375f3f0e8bdb4c3a0195ca7e5a Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 20:14:16 -0700 Subject: [PATCH 49/60] 41 --- project_euler/38.py | 32 ++++++++++++++++++++++++++++++++ project_euler/40.py | 31 +++++++++++++++++++++++++++++++ project_euler/41.py | 26 ++++++++++++++++++++++++++ src/38.rkt | 33 --------------------------------- src/40.ts | 31 ------------------------------- 5 files changed, 89 insertions(+), 64 deletions(-) create mode 100644 project_euler/38.py create mode 100644 project_euler/40.py create mode 100644 project_euler/41.py delete mode 100644 src/38.rkt delete mode 100644 src/40.ts diff --git a/project_euler/38.py b/project_euler/38.py new file mode 100644 index 00000000..6602a391 --- /dev/null +++ b/project_euler/38.py @@ -0,0 +1,32 @@ +# Problem 38: Pandigital Multiples +# +# What is the largest 1 to 9 pandigital 9 digit number that can be formed as the concatenated product of an integer with +# (1,2, ... , n) where n > 1? +# +# See https://projecteuler.net/problem=38 +from itertools import permutations + + +def create_pandigitals() -> set[int]: + return set(int("".join(p)) for p in permutations("123456789")) + + +def pandigital_product(pandigitals: set[int], n: int) -> int: + s = "" + i = 1 + + while len(s) < 9: + s += str(n * i) + i += 1 + + return int(s) if len(s) == 9 and (int(s) in pandigitals) and i > 2 else 0 + + +def run() -> int: + pandigitals = create_pandigitals() + products = [pandigital_product(pandigitals, n) for n in range(1, 9999)] + return max(products) + + +def test_run(): + assert run() == 932718654 diff --git a/project_euler/40.py b/project_euler/40.py new file mode 100644 index 00000000..f6c79dec --- /dev/null +++ b/project_euler/40.py @@ -0,0 +1,31 @@ +# Problem 40: Champernowne's Constant +# +# Find the product of the digits at the following positions in Champernowne's constant: +# +# 1, 10, 100, 1000, 10000, 100000, 1000000. +# +# See https://projecteuler.net/problem=40 +def generate_champernownes_constant(limit: int) -> str: + s = "" + n = 1 + + while len(s) < limit: + s += str(n) + n += 1 + + return s + + +def run(limit: int) -> int: + s = generate_champernownes_constant(limit) + + result = 1 + for i in [10**k for k in range(7)]: + digit = int(s[i - 1]) + result *= digit + + return result + + +def test_run(): + assert run(1_000_000) == 210 diff --git a/project_euler/41.py b/project_euler/41.py new file mode 100644 index 00000000..030d38c0 --- /dev/null +++ b/project_euler/41.py @@ -0,0 +1,26 @@ +# Problem 41: Pandigital Prime +# +# What is the largest n-digit pandigital prime that exists? +# +# See https://projecteuler.net/problem=41 +from itertools import permutations +from sympy import isprime + +def tuple2int(t: tuple[str]) -> int: + return int("".join(t)) + + +def run(): + max_p = 0 + + # 8 and 9 digit pandigital numbers are divisible by 3, so they cannot be prime. + for permutation in permutations("7654321"): + p = tuple2int(permutation) + if isprime(p): + max_p = max(max_p, p) + + return max_p + + +def test_run(): + assert run() == 7652413 \ No newline at end of file diff --git a/src/38.rkt b/src/38.rkt deleted file mode 100644 index 54d26689..00000000 --- a/src/38.rkt +++ /dev/null @@ -1,33 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") - -(define pandigitals - (list->set (map list->integer (permutations (range 1 10))))) - -(define (pandigital? n) - (set-member? pandigitals n)) - -(define (string-append* s n) - (string-append s (number->string n))) - -; Creates a 1 to 9 pandigital from consecutive digits starting from 2. -; The problem does not make it especially clear that the pandigital -; product must have exactly 9 digits and 'trivial' products like -; 1 * 987654321 are not permitted." -(define pandigital-product - (case-lambda - ((n) (pandigital-product n "" 1)) - ((n s i) (cond - ((= (string-length s) 9) (if (= i 1) "" s)) - ((> (string-length s) 9) "") - (else (pandigital-product n (string-append* s (* n i)) (add1 i))))))) - -(define result - (let* ((xs (range 1 99999)) - (ys (map (compose string->number pandigital-product) xs)) - (zs (filter pandigital? ys))) - (apply max zs))) - -(displayln result) -(check-equal? result 932718654) diff --git a/src/40.ts b/src/40.ts deleted file mode 100644 index bc040785..00000000 --- a/src/40.ts +++ /dev/null @@ -1,31 +0,0 @@ -import _ from 'lodash'; - -// Computes the product of the digits of the 1st, 10th, 100th, 1000th, 10000th, 100000th, and 1000000th digits of the -// Champernowne constant. -// -// See {@link https://en.wikipedia.org/wiki/Champernowne_constant}. -// See {@link https://projecteuler.net/problem=40}. -export default function compute(): number { - const s = generateChampernowneConstant(); - - let result = 1; - for (let i = 1; i <= 1_000_000; i *= 10) { - const c = s.charAt(i - 1); - const j = _.toNumber(c); - result *= j; - } - - return result; -} - -function generateChampernowneConstant(): string { - let s = ''; - let num = 1; - - while (s.length < 1_000_000) { - s += num.toString(); - num++; - } - - return s; -} From a089a360ee05315966d87ece405b35c8f4d364da Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 20:22:35 -0700 Subject: [PATCH 50/60] 69 --- project_euler/41.py | 3 ++- project_euler/42.py | 38 +++++++++++++++++++++++++++++++++++ project_euler/52.py | 20 ++++++++++++++++++ project_euler/69.py | 22 ++++++++++++++++++++ src/41.rkt | 13 ------------ src/42.rkt | 49 --------------------------------------------- src/52.ts | 23 --------------------- src/69.ts | 26 ------------------------ 8 files changed, 82 insertions(+), 112 deletions(-) create mode 100644 project_euler/42.py create mode 100644 project_euler/52.py create mode 100644 project_euler/69.py delete mode 100644 src/41.rkt delete mode 100644 src/42.rkt delete mode 100644 src/52.ts delete mode 100644 src/69.ts diff --git a/project_euler/41.py b/project_euler/41.py index 030d38c0..d02fa180 100644 --- a/project_euler/41.py +++ b/project_euler/41.py @@ -6,6 +6,7 @@ from itertools import permutations from sympy import isprime + def tuple2int(t: tuple[str]) -> int: return int("".join(t)) @@ -23,4 +24,4 @@ def run(): def test_run(): - assert run() == 7652413 \ No newline at end of file + assert run() == 7652413 diff --git a/project_euler/42.py b/project_euler/42.py new file mode 100644 index 00000000..ad95c522 --- /dev/null +++ b/project_euler/42.py @@ -0,0 +1,38 @@ +# Problem 42: Coded Triangle Numbers +# +# How many are triangle words? +# +# See https://projecteuler.net/problem=42 +from pathlib import Path + + +def read_words() -> list[str]: + file = Path(__file__).parent / "data" / "42.txt" + return file.read_text().replace('"', "").strip().split(",") + + +def word_score(word: str) -> int: + return sum(ord(c) - ord("A") + 1 for c in word) + + +def triangle_numbers_up_to(limit: int) -> set[int]: + n = 1 + triangles: set[int] = set() + + while (t := n * (n + 1) // 2) <= limit: + triangles.add(t) + n += 1 + + return triangles + + +def run() -> int: + words = read_words() + scores = list(map(word_score, words)) + max_score = max(scores) + triangle_numbers = triangle_numbers_up_to(max_score) + return sum(1 for score in scores if score in triangle_numbers) + + +def test_run(): + assert run() == 162 diff --git a/project_euler/52.py b/project_euler/52.py new file mode 100644 index 00000000..23f28eda --- /dev/null +++ b/project_euler/52.py @@ -0,0 +1,20 @@ +# Problem 52: Permuted Multiples +# +# Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits. +# +# See https://projecteuler.net/problem=52 +def sort_digits(n: int) -> str: + return "".join(sorted(str(n))) + + +def run() -> int: + n = 1 + while True: + s = sort_digits(n) + if all(sort_digits(n * m) == s for m in range(2, 7)): + return n + n += 1 + + +def test_run(): + assert run() == 142857 diff --git a/project_euler/69.py b/project_euler/69.py new file mode 100644 index 00000000..c81e8fee --- /dev/null +++ b/project_euler/69.py @@ -0,0 +1,22 @@ +# Problem 69: Totient Maximum +# +# Find the value of n ≤ 1_000_000 for which n/φ(n) is a maximum. +# +# See https://projecteuler.net/problem=69 +from sympy import primerange + + +def run(limit: int) -> int: + acc = 1 + + for p in primerange(2, limit): + n = acc * p + if n > limit: + return acc + acc = n + + raise ValueError("no solution") + + +def test_run(): + assert run(1_000_000) == 510510 \ No newline at end of file diff --git a/src/41.rkt b/src/41.rkt deleted file mode 100644 index abe02e31..00000000 --- a/src/41.rkt +++ /dev/null @@ -1,13 +0,0 @@ -#lang racket -(require rackunit) -(require "lib/core.rkt") -(require "lib/number-theory.rkt") - -(define xs - (map list->integer (permutations (range 1 8)))) - -(define result - (apply max (filter prime? xs))) - -(displayln result) -(check-equal? result 7652413) diff --git a/src/42.rkt b/src/42.rkt deleted file mode 100644 index 6d252ba0..00000000 --- a/src/42.rkt +++ /dev/null @@ -1,49 +0,0 @@ -#lang racket -(require rackunit) -(require srfi/1) -(require srfi/41) -(require "lib/core.rkt") - -(define charmap - (zipmap - (map integer->char (range (char->integer #\A) (add1 (char->integer #\Z)))) - (range 1 (add1 26)))) - -(define words - ((compose (curryr string-split ",") - (curryr string-replace "\"" "") - file->string) - "../data/42.txt")) - -(define (word-score w) - ((compose (curry apply +) - (curry map (curry hash-ref charmap)) - string->list) - w)) - -(define longest-word-length - (apply max (map string-length words))) - -(define largest-word-score - (* longest-word-length 26)) - -(define (triangle n) - (quotient (* n (add1 n)) 2)) - -(define triangles - (stream-map triangle (stream-from 0))) - -(define triangle-word-scores - ((compose list->set - stream->list - (curry stream-take-while (curryr <= largest-word-score))) - triangles)) - -(define (triangle? n) - (set-member? triangle-word-scores n)) - -(define result - (length (filter triangle? (map word-score words)))) - -(displayln result) -(check-equal? result 162) diff --git a/src/52.ts b/src/52.ts deleted file mode 100644 index 8f6846f9..00000000 --- a/src/52.ts +++ /dev/null @@ -1,23 +0,0 @@ -// Computes the smallest positive integer x such that 2x, 3x, 4x, 5x, and 6x, contain the same digits. -// -// See {@link https://projecteuler.net/problem=52} -export default function compute() { - let x = 1; - - while (true) { - const s = sort(x); - const isValid = [2, 3, 4, 5, 6].every(m => { - return sort(x * m) === s; - }); - - if (isValid) { - return x; - } - - x++; - } -} - -function sort(x: number): string { - return x.toString().split('').sort().join(''); -} diff --git a/src/69.ts b/src/69.ts deleted file mode 100644 index ad350fbc..00000000 --- a/src/69.ts +++ /dev/null @@ -1,26 +0,0 @@ -import primes from './core/primes'; - -// Computes the value of n for which n/φ(n) is maximized. -// -// @remarks -// It's not necessary to actually compute the totient function for each number. The ratio will be largest with the -// denominator is as small as possible. This will occur when n has many prime divisors. -// -// See {@link docs/problem-69.md}. -// See {@link https://projecteuler.net/problem=69}. -export default function compute(limit: number) { - let ps = primes(); - let acc = 1; - - while (ps.length > 0) { - const n = acc * ps[0]; - if (n > limit) { - return acc; - } - - acc = n; - ps = ps.slice(1); - } - - throw new Error('not enough primes'); -} From c688c4d4b64dd73a469602a1251fdc5ce1039a57 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 20:32:23 -0700 Subject: [PATCH 51/60] 76 --- project_euler/69.py | 2 +- project_euler/70.py | 58 +++++++++++++++++++++++++++++++++++++ project_euler/76.py | 23 +++++++++++++++ src/70.ts | 69 --------------------------------------------- 4 files changed, 82 insertions(+), 70 deletions(-) create mode 100644 project_euler/70.py create mode 100644 project_euler/76.py delete mode 100644 src/70.ts diff --git a/project_euler/69.py b/project_euler/69.py index c81e8fee..149deca7 100644 --- a/project_euler/69.py +++ b/project_euler/69.py @@ -19,4 +19,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1_000_000) == 510510 \ No newline at end of file + assert run(1_000_000) == 510510 diff --git a/project_euler/70.py b/project_euler/70.py new file mode 100644 index 00000000..4c325cae --- /dev/null +++ b/project_euler/70.py @@ -0,0 +1,58 @@ +# Problem 70: Totient Permutation +# +# Find the value of n, 1 < n < 10^7, for which φ(n) is a permutation of n and the ratio n/φ(n) produces a minimum. +# +# See https://projecteuler.net/problem=70 +import math +from sympy import primerange + + +# This is a special totient function that optimizes the computation of totient for a semi-prime whose factors are p +# and q. +# +# For a prime number, the totient is simply (sub1 p). Because the totient is a multiplicative function, +# totient(p * q) = totient(p) * totient(q). Therefore, the totient of a semi-prime is simply (p - 1) * (q - 1). +def totient(p: int, q: int) -> int: + return (p - 1) * (q - 1) + + +# Checks if two positive integers' digits are permutations of each other. +def is_permutation(m: int, n: int) -> bool: + return sorted(str(m)) == sorted(str(n)) + + +def semi_prime_pairs(limit: int) -> list[tuple[int, int]]: + n = 2 * (math.isqrt(limit) + 1) + ps = list(primerange(2, n)) + pairs: list[tuple[int, int]] = [] + + for i in range(len(ps)): + for j in range(i, len(ps)): + p, q = ps[i], ps[j] + pairs.append((p, q)) + + return pairs + + +def run(limit: int) -> int: + pairs = semi_prime_pairs(limit) + result = 0 + min_ratio = math.inf + + for p, q in pairs: + n = p * q + if n >= limit: + continue + + phi = totient(p, q) + if is_permutation(n, phi): + ratio = n / phi + if ratio < min_ratio: + min_ratio = ratio + result = n + + return result + + +def test_run(): + run(1_000_000) == 8319823 diff --git a/project_euler/76.py b/project_euler/76.py new file mode 100644 index 00000000..979250a4 --- /dev/null +++ b/project_euler/76.py @@ -0,0 +1,23 @@ +# Problem 76: Counting Summations +# +# How many different ways can one hundred be written as a sum of at least two positive integers? +# +# See https://projecteuler.net/problem=76 +from functools import cache + + +@cache +def partition(k: int, n: int) -> int: + if k > n: + return 0 + if k == n: + return 1 + return partition(k + 1, n) + partition(k, n - k) + + +def run(target: int) -> int: + return partition(1, target) - 1 + + +def test_run(): + assert run(100) == 190569291 diff --git a/src/70.ts b/src/70.ts deleted file mode 100644 index 8e414105..00000000 --- a/src/70.ts +++ /dev/null @@ -1,69 +0,0 @@ -import primes from './core/primes'; - -// Computes the value of n for which φ((n) is a permutation of n and the ratio n/φ(n) produces a minimum. -// -// See {@link https://projecteuler.net/problem=70} -export default function compute(limit: number) { - const pairs = getSemiPrimePairs(getLimit(limit)) - .map(pair => transformPair(pair)) - .filter(pair => isWithinLimit(pair, limit)) - .filter(pair => isPermutation(pair)); - - let minRatio = limit; - let result = 0; - - for (const [phi, n] of pairs) { - const ratio = n / phi; - if (ratio < minRatio) { - minRatio = ratio; - result = n; - } - } - - return result; -} - -// This is a special totient function that optimizes the computation of totient for a semi-prime whose factors are p -// and q. -// -// For a prime number, the totient is simply (sub1 p). Because the totient is a multiplicative function, -// totient(p * q) = totient(p) * totient(q). Therefore, the totient of a semi-prime is simply (p - 1) * (q - 1). -function totient(p: number, q: number): number { - return (p - 1) * (q - 1); -} - -// Checks if two positive integers' digits are permutations of each other. -function isPermutation(pair: [number, number]): boolean { - const [m, n] = pair; - return m.toString().split('').sort().join('') === n.toString().split('').sort().join(''); -} - -function getLimit(limit: number): number { - return 2 * (Math.floor(Math.sqrt(limit)) + 1); -} - -function isWithinLimit(pair: [number, number], limit: number): boolean { - return pair[1] < limit; -} - -function getSemiPrimePairs(limit: number): [number, number][] { - const ps = primes().filter(p => p < limit); - const pairs: [number, number][] = []; - - for (let i = 0; i < ps.length; i++) { - for (let j = i; j < ps.length; j++) { - const p = ps[i]; - const q = ps[j]; - pairs.push([p, q]); - } - } - - return pairs; -} - -// Creates totient to semi-prime pairs. -function transformPair(factors: [number, number]): [number, number] { - const [p, q] = factors; - const n = p * q; - return [totient(p, q), n]; -} From 49375249a755aced4dc10b2c17531dd5ea3063d0 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 20:47:20 -0700 Subject: [PATCH 52/60] 107 --- project_euler/107.py | 96 ++++++++++++++++++++++++++++++++++++++++++++ src/76.ts | 27 ------------- 2 files changed, 96 insertions(+), 27 deletions(-) create mode 100644 project_euler/107.py delete mode 100644 src/76.ts diff --git a/project_euler/107.py b/project_euler/107.py new file mode 100644 index 00000000..8a519ade --- /dev/null +++ b/project_euler/107.py @@ -0,0 +1,96 @@ +# Problem 107: Minimal Network +# +# Find the maximum saving which can be achieved by removing redundant edges whilst ensuring that the network remains +# connected. +# +# See https://projecteuler.net/problem=107 +from heapq import heappop, heappush +import math +from pathlib import Path + + +Graph = list[list[float]] +Edge = tuple[int, int] + + +def create_graph() -> Graph: + file = Path(__file__).parent / "data" / "107.txt" + data = file.read_text().strip().splitlines() + graph: Graph = [] + + for line in data: + # fmt: off + row = [ + math.inf + if x == "-" else int(x) + for x in line.strip().split(",") + ] + # fmt: on + graph.append(row) + + return graph + + +def weight_of_network(graph: Graph) -> float: + total = 0 + + for i, row in enumerate(graph): + for j, x in enumerate(row): + if x != math.inf: + total += x + + # Divide by 2 to avoid double counting in undirected graph. + return total / 2 + + +def weight_of_mst(graph: Graph, edges: list[Edge]) -> float: + return sum(graph[u][v] for u, v in edges) + + +def neighbors(graph: Graph, u: int) -> list[tuple[int, float]]: + # fmt: off + return [ + (v, graph[u][v]) + for v in range(len(graph)) + if graph[u][v] != math.inf + ] + # fmt: on + + +def mst(graph: Graph) -> list[Edge]: + n = len(graph) + visited: set[int] = set() + edges: list[Edge] = [] + min_heap: tuple[int, int, int] = [] + + visited.add(0) + + for v, weight in neighbors(graph, 0): + heappush(min_heap, (weight, 0, v)) + + while len(visited) < n and min_heap: + _, u, v = heappop(min_heap) + if v in visited: + continue + + visited.add(v) + edges.append((u, v)) + for w, weight in neighbors(graph, v): + if w not in visited: + heappush(min_heap, (weight, v, w)) + + return edges + + +def run() -> int: + graph = create_graph() + edges = mst(graph) + + network_weight = weight_of_network(graph) + mst_weight = weight_of_mst(graph, edges) + + return int(network_weight - mst_weight) + + +def test_run(): + assert run() == 259679 diff --git a/src/76.ts b/src/76.ts deleted file mode 100644 index 86117ef8..00000000 --- a/src/76.ts +++ /dev/null @@ -1,27 +0,0 @@ -// Computes the number of ways `target` can be written as a sum of at least two positive integers. -// -// See {@link https://projecteuler.net/problem=76} -export default function compute(target: number) { - return partition(1, target) - 1; -} - -const map = new Map(); - -function partition(k: number, n: number): number { - if (k > n) { - return 0; - } - - if (k === n) { - return 1; - } - - const key = `${k},${n}`; - if (map.has(key)) { - return map.get(key)!; - } - - const value = partition(k + 1, n) + partition(k, n - k); - map.set(key, value); - return value; -} From cc70f5c6f2c8ebe2aa17501fd0181c6d458f4ba4 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 20:54:43 -0700 Subject: [PATCH 53/60] 123 --- project_euler/120.py | 13 ++++ project_euler/123.py | 29 +++++++++ src/107.ts | 137 ------------------------------------------- src/120.ts | 29 --------- src/123.ts | 31 ---------- 5 files changed, 42 insertions(+), 197 deletions(-) create mode 100644 project_euler/120.py create mode 100644 project_euler/123.py delete mode 100644 src/107.ts delete mode 100644 src/120.ts delete mode 100644 src/123.ts diff --git a/project_euler/120.py b/project_euler/120.py new file mode 100644 index 00000000..7a6e525d --- /dev/null +++ b/project_euler/120.py @@ -0,0 +1,13 @@ +# Problem 120: Square Remainders +# +# See https://projecteuler.net/problem=120 +def r_max(a: int) -> int: + return 2 * a * ((a - 1) // 2) + + +def run(limit) -> int: + return sum(r_max(a) for a in range(3, limit + 1)) + + +def test_run(): + assert run(1_000) == 333082500 diff --git a/project_euler/123.py b/project_euler/123.py new file mode 100644 index 00000000..581ab826 --- /dev/null +++ b/project_euler/123.py @@ -0,0 +1,29 @@ +# Problem 123: Prime Square Remainders +# +# Find the least value of n for which the remainder first exceeds 10^10. +# +# See https://projecteuler.net/problem=123 +from sympy import primerange + + +def r(p: int, n: int) -> int: + if n % 2 == 0: + return 2 + + return 2 * p * n + + +def run(limit: int) -> int: + n = 1 + + for p in primerange(2, limit): + if r(p, n) >= limit: + return n + + n += 1 + + raise ValueError("no solution") + + +def test_run(): + assert run(10**10) == 21035 diff --git a/src/107.ts b/src/107.ts deleted file mode 100644 index 695975eb..00000000 --- a/src/107.ts +++ /dev/null @@ -1,137 +0,0 @@ -import _ from 'lodash'; -import slurp from './core/slurp'; - -type Graph = number[][]; -type Edge = [number, number]; - -// Computes the maximum savings that can be achieved by removing redundant edges from a network graph. -// -// @remarks -// Uses Prim's algorithm to construct a minimum spanning tree. -// -// See {@link https://en.wikipedia.org/wiki/Prim%27s_algorithm}. -// See {@link https://projecteuler.net/problem=107}. -export default function compute() { - const graph = parse(); - - // This is the total cost of the network, computed by summing all edge weights. - const weight1 = getWeightOfAllEdges(graph); - - // This is a set of edges that form a minimum spanning tree of the network. - const edges = getMinimumSpanningTree(graph); - - // This is the total cost of the minimum spanning tree. - const weight2 = getWeightOfEdges(graph, edges); // Calculate MST cost - - // The delta between the total weight and the MST weight is our savings. - return Math.floor(weight1 - weight2); -} - -function parse(): Graph { - return slurp('107.txt') - .trim() - .split('\n') - .map(line => { - return line.split(',').map(value => (value === '-' ? Infinity : _.toNumber(value))); - }); -} - -function getWeightOfAllEdges(graph: Graph) { - let total = 0; - - for (const row of graph) { - total += row.reduce((sum, value) => { - if (value === Infinity) { - return sum; - } - - return sum + value; - }, 0); - } - - return total / 2; -} - -function getWeightOfEdges(graph: Graph, edges: Set): number { - let total = 0; - - for (const edge of edges) { - total += getWeight(graph, edge); - } - - return total; -} - -function getWeight(graph: Graph, edge: Edge) { - const [u, v] = edge; - return graph[u][v]; -} - -function getNeighbors(graph: Graph, u: number) { - const n = graph.length; - const result = new Set(); - - for (let v = 0; v < n; v++) { - if (graph[u][v] !== Infinity) { - result.add(v); - } - } - - return result; -} - -function getFrontierNodes(graph: Graph, nodes: Set): Set { - const edges = new Set(); - - for (const u of nodes) { - for (const v of getNeighbors(graph, u)) { - if (!nodes.has(v)) { - edges.add([u, v]); - } - } - } - - return edges; -} - -function getCheapestEdge(graph: Graph, vertices: Set, excluded: Set): Edge { - let minEdge: Edge = [-1, -1]; - let minCost = Infinity; - - for (const edge of getFrontierNodes(graph, vertices)) { - const [u, v] = edge; - const key = `${u}-${v}`; - - if (!excluded.has(key)) { - const edgeCost = getWeight(graph, edge); - if (edgeCost < minCost) { - minCost = edgeCost; - minEdge = edge; - } - } - } - - return minEdge; -} - -function getMinimumSpanningTree(graph: Graph): Set { - const nodes = new Set([0]); - const mst = new Set(); - const excluded = new Set(); - - while (nodes.size < graph.length) { - const edge = getCheapestEdge(graph, nodes, excluded); - if (edge[0] === -1) { - break; - } - - nodes.add(edge[0]); - nodes.add(edge[1]); - mst.add(edge); - - excluded.add(`${edge[0]}-${edge[1]}`); - excluded.add(`${edge[1]}-${edge[0]}`); - } - - return mst; -} diff --git a/src/120.ts b/src/120.ts deleted file mode 100644 index 70293194..00000000 --- a/src/120.ts +++ /dev/null @@ -1,29 +0,0 @@ -import _ from 'lodash'; - -// Computes the sum of the maximum remainders of (a - 1)^n + (a + 1)^n for 3 ≤ a ≤ 1000. -// -// See {@link https://projecteuler.net/problem=120}. -export default function compute(): number { - return _.range(3, 1001) - .map(f) - .reduce((a, b) => a + b, 0); -} - -function f(a: number) { - function g(n: number) { - if (n === 1) { - return 2 * a; - } - - if (n % 2 === 0) { - return 2; - } - - return 2 * n * a; - } - - return _.range(1, 2 * a + 1) - .map(g) - .map(n => n % (a * a)) - .reduce((a, b) => Math.max(a, b), 0); -} diff --git a/src/123.ts b/src/123.ts deleted file mode 100644 index a55a54be..00000000 --- a/src/123.ts +++ /dev/null @@ -1,31 +0,0 @@ -import primes from './core/primes'; - -// Finds the least value of n for which the remainder described in the problem first exceeds 1e10. -// -// See {@link https://projecteuler.net/problem=123}. -export default function compute(limit: number) { - return find(primes(), limit); -} - -function r(p: number, n: number) { - if (n % 2 === 0) { - return 2; - } - - return p * n * 2; -} - -function find(ps: number[], limit: number): number { - let n = 1; - - for (let i = 0; i < ps.length; i++) { - const p = ps[i]; - if (r(p, n) >= limit) { - return n; - } - - n++; - } - - throw new Error('not enough primes'); -} From fc8e942856f81cba1f4e0a17f898f937e41578e3 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 21:06:16 -0700 Subject: [PATCH 54/60] lints --- project_euler/107.py | 2 +- project_euler/123.py | 4 +++- project_euler/35.py | 2 +- project_euler/36.py | 4 ++-- project_euler/37.py | 4 ++-- project_euler/41.py | 2 +- project_euler/69.py | 4 +++- project_euler/70.py | 6 ++++-- 8 files changed, 17 insertions(+), 11 deletions(-) diff --git a/project_euler/107.py b/project_euler/107.py index 8a519ade..b68ee8cf 100644 --- a/project_euler/107.py +++ b/project_euler/107.py @@ -61,7 +61,7 @@ def mst(graph: Graph) -> list[Edge]: n = len(graph) visited: set[int] = set() edges: list[Edge] = [] - min_heap: tuple[int, int, int] = [] + min_heap: list[tuple[float, int, int]] = [] visited.add(0) diff --git a/project_euler/123.py b/project_euler/123.py index 581ab826..2b2b1513 100644 --- a/project_euler/123.py +++ b/project_euler/123.py @@ -3,6 +3,7 @@ # Find the least value of n for which the remainder first exceeds 10^10. # # See https://projecteuler.net/problem=123 +from typing import cast from sympy import primerange @@ -16,7 +17,8 @@ def r(p: int, n: int) -> int: def run(limit: int) -> int: n = 1 - for p in primerange(2, limit): + for x in primerange(2, limit): + p = cast(int, x) if r(p, n) >= limit: return n diff --git a/project_euler/35.py b/project_euler/35.py index 992b6d61..a89c6021 100644 --- a/project_euler/35.py +++ b/project_euler/35.py @@ -8,7 +8,7 @@ from project_euler.common.primes import is_prime, primes -def rotate(xs: list[int]) -> list[int]: +def rotate(xs: list[str]) -> list[str]: return xs[1:] + [xs[0]] diff --git a/project_euler/36.py b/project_euler/36.py index 97e7500d..00d839a4 100644 --- a/project_euler/36.py +++ b/project_euler/36.py @@ -13,9 +13,9 @@ def is_double_base_palindrome(n: int) -> bool: return is_palindrome(base_10) and is_palindrome(base_2) -def run(limit: int) -> int: +def run(limit = 1_000_000) -> int: return sum(n for n in range(limit + 1) if is_double_base_palindrome(n)) def test_run(): - run(1_000_000) == 872187 + assert run() == 872187 diff --git a/project_euler/37.py b/project_euler/37.py index 2da498d0..6637d16f 100644 --- a/project_euler/37.py +++ b/project_euler/37.py @@ -31,7 +31,7 @@ def is_fully_truncatable(n: int) -> bool: return is_truncatable(n, "L") and is_truncatable(n, "R") -def run(limit=11) -> list[int]: +def run(limit: int) -> int: result: list[int] = [] # Exclude 2, 3, 5, and 7; they are not truncatable. @@ -47,4 +47,4 @@ def run(limit=11) -> list[int]: def test_run(): - assert run() == 748317 + assert run(11) == 748317 diff --git a/project_euler/41.py b/project_euler/41.py index d02fa180..2b88b94f 100644 --- a/project_euler/41.py +++ b/project_euler/41.py @@ -7,7 +7,7 @@ from sympy import isprime -def tuple2int(t: tuple[str]) -> int: +def tuple2int(t: tuple[str, ...]) -> int: return int("".join(t)) diff --git a/project_euler/69.py b/project_euler/69.py index 149deca7..4879883b 100644 --- a/project_euler/69.py +++ b/project_euler/69.py @@ -3,13 +3,15 @@ # Find the value of n ≤ 1_000_000 for which n/φ(n) is a maximum. # # See https://projecteuler.net/problem=69 +from typing import cast from sympy import primerange def run(limit: int) -> int: acc = 1 - for p in primerange(2, limit): + for x in primerange(2, limit): + p = cast(int, x) n = acc * p if n > limit: return acc diff --git a/project_euler/70.py b/project_euler/70.py index 4c325cae..e4cb04f3 100644 --- a/project_euler/70.py +++ b/project_euler/70.py @@ -4,6 +4,7 @@ # # See https://projecteuler.net/problem=70 import math +from typing import cast from sympy import primerange @@ -28,7 +29,8 @@ def semi_prime_pairs(limit: int) -> list[tuple[int, int]]: for i in range(len(ps)): for j in range(i, len(ps)): - p, q = ps[i], ps[j] + p = cast(int, ps[i]) + q = cast(int, ps[j]) pairs.append((p, q)) return pairs @@ -55,4 +57,4 @@ def run(limit: int) -> int: def test_run(): - run(1_000_000) == 8319823 + assert run(1_000_000) == 8319823 From 049cca9b1f91d428bb5c8456964c7a9c629fb3e2 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 21:06:58 -0700 Subject: [PATCH 55/60] splitlines --- project_euler/11.py | 2 +- project_euler/36.py | 2 +- project_euler/8.py | 2 +- 3 files changed, 3 insertions(+), 3 deletions(-) diff --git a/project_euler/11.py b/project_euler/11.py index a8bfbdb1..a3c9cd04 100644 --- a/project_euler/11.py +++ b/project_euler/11.py @@ -30,7 +30,7 @@ def create_row(line: str) -> list[int]: def create_grid() -> list[list[int]]: file = Path(__file__).parent / "data" / "11.txt" - lines = file.read_text().strip().split("\n") + lines = file.read_text().strip().splitlines() return [create_row(line) for line in lines] diff --git a/project_euler/36.py b/project_euler/36.py index 00d839a4..33d0f318 100644 --- a/project_euler/36.py +++ b/project_euler/36.py @@ -13,7 +13,7 @@ def is_double_base_palindrome(n: int) -> bool: return is_palindrome(base_10) and is_palindrome(base_2) -def run(limit = 1_000_000) -> int: +def run(limit=1_000_000) -> int: return sum(n for n in range(limit + 1) if is_double_base_palindrome(n)) diff --git a/project_euler/8.py b/project_euler/8.py index 8b4dad92..7a317836 100644 --- a/project_euler/8.py +++ b/project_euler/8.py @@ -9,7 +9,7 @@ def run(window: int) -> int: file = Path(__file__).parent / "data" / "8.txt" - data = "".join(file.read_text().split("\n")) + data = "".join(file.read_text().splitlines()) # Can be solved with a sliding window algorithm. We just have to take care to note the number of zeroes in the # window; if a window has any zeroes in it, thet product of that window will be zero. At each step, we only compute From 0aadb9eb5814f996aa9cb0b890784407140420d2 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 21:09:18 -0700 Subject: [PATCH 56/60] cache --- project_euler/14.py | 4 ++-- project_euler/31.py | 4 ++-- project_euler/common/divisors.py | 4 ++-- project_euler/common/order.py | 4 ++-- project_euler/common/prime_factors.py | 4 ++-- project_euler/common/totient.py | 6 +++--- 6 files changed, 13 insertions(+), 13 deletions(-) diff --git a/project_euler/14.py b/project_euler/14.py index b735ecbf..097becf3 100644 --- a/project_euler/14.py +++ b/project_euler/14.py @@ -3,10 +3,10 @@ # Which starting number, under one million, produces the longest Collatz sequence? # # See https://projecteuler.net/problem=14 -import functools +from functools import cache -@functools.lru_cache(maxsize=None) +@cache def collatz_len(n: int) -> int: if n == 1: return 0 diff --git a/project_euler/31.py b/project_euler/31.py index e198a899..d0072a4a 100644 --- a/project_euler/31.py +++ b/project_euler/31.py @@ -3,7 +3,7 @@ # How many different ways can £2 be made using any number of coins? # # See https://projecteuler.net/problem=31 -import functools +from functools import cache from typing import Callable @@ -16,7 +16,7 @@ def run() -> int: # Generate P[x] for x = 2, 5, 10, 20, 50, 100. Each function P[xk] can be created based previous values of xk. def define_px(x, y): # Number of ways to make change for n using coins of value x or less. - @functools.lru_cache(maxsize=None) + @cache def px(n): # Get the function that computes ways to make change for n using y or less. py = P[y] diff --git a/project_euler/common/divisors.py b/project_euler/common/divisors.py index 0fe7679a..c0f4fedb 100644 --- a/project_euler/common/divisors.py +++ b/project_euler/common/divisors.py @@ -1,8 +1,8 @@ -import functools +from functools import cache import math -@functools.lru_cache(maxsize=None) +@cache def divisors(n: int) -> list[int]: ds: set[int] = set() diff --git a/project_euler/common/order.py b/project_euler/common/order.py index 44b6842f..ac33541d 100644 --- a/project_euler/common/order.py +++ b/project_euler/common/order.py @@ -1,10 +1,10 @@ -import functools +from functools import cache import math from project_euler.common.divisors import divisors from project_euler.common.totient import totient -@functools.lru_cache(maxsize=None) +@cache def ord(b: int, m: int) -> int: if math.gcd(b, m) != 1: raise ValueError("b and m must be coprime") diff --git a/project_euler/common/prime_factors.py b/project_euler/common/prime_factors.py index 014e1f6c..a14a1503 100644 --- a/project_euler/common/prime_factors.py +++ b/project_euler/common/prime_factors.py @@ -1,9 +1,9 @@ -import functools +from functools import cache from project_euler.common.divisors import divisors from project_euler.common.primes import is_prime -@functools.lru_cache(maxsize=None) +@cache def prime_factors(n: int) -> list[int]: ds = divisors(n) ps = [d for d in ds if d > 1 and is_prime(d)] diff --git a/project_euler/common/totient.py b/project_euler/common/totient.py index dd78c5da..54bcc508 100644 --- a/project_euler/common/totient.py +++ b/project_euler/common/totient.py @@ -1,13 +1,13 @@ -import functools +from functools import cache, reduce import math from project_euler.common.prime_factors import prime_factors -@functools.lru_cache(maxsize=None) +@cache def totient(n: int) -> int: if n == 1: return 0 ps = prime_factors(n) - phi = functools.reduce(lambda acc, p: acc * (1 - 1 / p), ps, n) + phi = reduce(lambda acc, p: acc * (1 - 1 / p), ps, n) return math.floor(phi) From 128fbddff42d82639c7001f12c75be868fbe57d8 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 21:10:58 -0700 Subject: [PATCH 57/60] fixes 70 --- project_euler/70.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/project_euler/70.py b/project_euler/70.py index e4cb04f3..bd2e4da4 100644 --- a/project_euler/70.py +++ b/project_euler/70.py @@ -57,4 +57,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1_000_000) == 8319823 + assert run(10_000_000) == 8319823 From 0e97083934041e2dfc560cb07cb19e6a5be9b631 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 21:24:15 -0700 Subject: [PATCH 58/60] run with implicitg arg --- project_euler/1.py | 4 ++-- project_euler/10.py | 19 +++++++++++++++---- project_euler/12.py | 4 ++-- project_euler/120.py | 4 ++-- project_euler/123.py | 4 ++-- project_euler/14.py | 4 ++-- project_euler/2.py | 4 ++-- project_euler/20.py | 4 ++-- project_euler/21.py | 4 ++-- project_euler/23.py | 4 ++-- project_euler/26.py | 4 ++-- project_euler/27.py | 4 ++-- project_euler/28.py | 2 +- project_euler/3.py | 4 ++-- project_euler/37.py | 4 ++-- project_euler/40.py | 4 ++-- project_euler/48.py | 4 ++-- project_euler/5.py | 4 ++-- project_euler/53.py | 4 ++-- project_euler/69.py | 4 ++-- project_euler/7.py | 4 ++-- project_euler/70.py | 4 ++-- project_euler/76.py | 4 ++-- project_euler/8.py | 4 ++-- project_euler/9.py | 4 ++-- 25 files changed, 62 insertions(+), 51 deletions(-) diff --git a/project_euler/1.py b/project_euler/1.py index 3d805243..2cd9a485 100644 --- a/project_euler/1.py +++ b/project_euler/1.py @@ -3,9 +3,9 @@ # Find the sum of all the multiples of 3 or 5 below 1000. # # See https://projecteuler.net/problem=1 -def run(limit: int) -> int: +def run(limit=1_000) -> int: return sum([n for n in range(limit) if n % 3 == 0 or n % 5 == 0]) def test_run(): - assert run(1000) == 233168 + assert run() == 233168 diff --git a/project_euler/10.py b/project_euler/10.py index 44e5272c..31a07e68 100644 --- a/project_euler/10.py +++ b/project_euler/10.py @@ -3,9 +3,20 @@ # Find the sum of all the primes below two million. # # See https://projecteuler.net/problem=10 -from project_euler.common.primes import read_primes +from typing import cast +from sympy import primerange +from toolz import pipe +from toolz.curried import filter, map, reduce -def run(limit: int) -> int: - ps = read_primes() - return sum(p for p in ps if p < limit) +def run(limit=2_000_000) -> int: + return pipe( + primerange(2, limit), + map(lambda p: cast(int, p)), + filter(lambda p: p < limit), + reduce(lambda a, b: a + b), + ) + + +def test_run(): + assert run() == 142913828922 diff --git a/project_euler/12.py b/project_euler/12.py index 9524b3b9..1b382d66 100644 --- a/project_euler/12.py +++ b/project_euler/12.py @@ -6,7 +6,7 @@ from project_euler.common.divisors import tau -def run(limit: int) -> int: +def run(limit=500) -> int: n = 0 i = 1 @@ -18,4 +18,4 @@ def run(limit: int) -> int: def test_run(): - assert run(500) == 76576500 + assert run() == 76576500 diff --git a/project_euler/120.py b/project_euler/120.py index 7a6e525d..f8135587 100644 --- a/project_euler/120.py +++ b/project_euler/120.py @@ -5,9 +5,9 @@ def r_max(a: int) -> int: return 2 * a * ((a - 1) // 2) -def run(limit) -> int: +def run(limit=1_000) -> int: return sum(r_max(a) for a in range(3, limit + 1)) def test_run(): - assert run(1_000) == 333082500 + assert run() == 333082500 diff --git a/project_euler/123.py b/project_euler/123.py index 2b2b1513..2bf7b80e 100644 --- a/project_euler/123.py +++ b/project_euler/123.py @@ -14,7 +14,7 @@ def r(p: int, n: int) -> int: return 2 * p * n -def run(limit: int) -> int: +def run(limit=10**10) -> int: n = 1 for x in primerange(2, limit): @@ -28,4 +28,4 @@ def run(limit: int) -> int: def test_run(): - assert run(10**10) == 21035 + assert run() == 21035 diff --git a/project_euler/14.py b/project_euler/14.py index 097becf3..fba4b904 100644 --- a/project_euler/14.py +++ b/project_euler/14.py @@ -15,7 +15,7 @@ def collatz_len(n: int) -> int: return 1 + collatz_len(next) -def run(limit: int) -> int: +def run(limit=1_000_000) -> int: max_len = 0 current_len = 0 result = 1 @@ -30,4 +30,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1_000_000) == 837799 + assert run() == 837799 diff --git a/project_euler/2.py b/project_euler/2.py index c1143829..612a0ffd 100644 --- a/project_euler/2.py +++ b/project_euler/2.py @@ -9,7 +9,7 @@ from project_euler.common.fibonacci_numbers import fibs -def run(limit: int) -> int: +def run(limit=4_000_000) -> int: result = pipe( fibs(), lambda xs: takewhile(lambda x: x < limit, xs), @@ -20,4 +20,4 @@ def run(limit: int) -> int: def test_run(): - assert run(4_000_000) == 4613732 + assert run() == 4613732 diff --git a/project_euler/20.py b/project_euler/20.py index a2141506..0ebdde35 100644 --- a/project_euler/20.py +++ b/project_euler/20.py @@ -6,9 +6,9 @@ import math -def run(n: int) -> int: +def run(n=100) -> int: return sum(int(c) for c in str(math.factorial(n))) def test_run(): - assert run(100) == 648 + assert run() == 648 diff --git a/project_euler/21.py b/project_euler/21.py index 3607ff0b..533d2720 100644 --- a/project_euler/21.py +++ b/project_euler/21.py @@ -6,7 +6,7 @@ from project_euler.common.divisors import sigma -def run(n: int) -> int: +def run(n=10_000) -> int: result = 0 for a in range(2, n + 1): @@ -18,4 +18,4 @@ def run(n: int) -> int: def test_run(): - assert run(10_000) == 31626 + assert run() == 31626 diff --git a/project_euler/23.py b/project_euler/23.py index c86793e0..e671c2c1 100644 --- a/project_euler/23.py +++ b/project_euler/23.py @@ -6,7 +6,7 @@ from project_euler.common.divisors import sigma -def run(limit: int) -> int: +def run(limit=28123) -> int: abundants = list(filter(lambda n: sigma(n) - n > n, range(1, limit + 1))) numbers = list(range(0, limit + 1)) @@ -22,4 +22,4 @@ def run(limit: int) -> int: def test_run(): - assert run(28123) == 4179871 + assert run() == 4179871 diff --git a/project_euler/26.py b/project_euler/26.py index fe2dec98..15294a7d 100644 --- a/project_euler/26.py +++ b/project_euler/26.py @@ -7,7 +7,7 @@ from project_euler.common.order import ord -def run(limit: int) -> int: +def run(limit=1_000) -> int: best_n = 0 best_t = 0 @@ -30,4 +30,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1000) == 983 + assert run() == 983 diff --git a/project_euler/27.py b/project_euler/27.py index 600495c0..31ed2d27 100644 --- a/project_euler/27.py +++ b/project_euler/27.py @@ -22,7 +22,7 @@ def count_primes(a: int, b: int, ps: set[int]) -> int: n += 1 -def run(limit: int): +def run(limit=1_000): candidates: dict[int, tuple[int, int]] = {} ps = set([int(p) for p in primes_under(limit)]) bs = ps.union([-p for p in ps]) @@ -38,4 +38,4 @@ def run(limit: int): def test_run(): - assert run(1000) == -59231 + assert run() == -59231 diff --git a/project_euler/28.py b/project_euler/28.py index 0ec424f0..3164e2a6 100644 --- a/project_euler/28.py +++ b/project_euler/28.py @@ -38,7 +38,7 @@ def create_spiral(n: int) -> np.ndarray: return spiral -def run(limit: int) -> int: +def run(limit=1_001) -> int: spiral = create_spiral(limit) # Compute sum from top left to bottom right. main_diag = np.trace(spiral) diff --git a/project_euler/3.py b/project_euler/3.py index ad686e23..2c1da5c9 100644 --- a/project_euler/3.py +++ b/project_euler/3.py @@ -6,9 +6,9 @@ from project_euler.common.prime_factors import prime_factors -def run(limit: int) -> int: +def run(limit=600851475143) -> int: return max(prime_factors(limit)) def test_run(): - assert run(600851475143) == 6857 + assert run() == 6857 diff --git a/project_euler/37.py b/project_euler/37.py index 6637d16f..40709084 100644 --- a/project_euler/37.py +++ b/project_euler/37.py @@ -31,7 +31,7 @@ def is_fully_truncatable(n: int) -> bool: return is_truncatable(n, "L") and is_truncatable(n, "R") -def run(limit: int) -> int: +def run(limit=11) -> int: result: list[int] = [] # Exclude 2, 3, 5, and 7; they are not truncatable. @@ -47,4 +47,4 @@ def run(limit: int) -> int: def test_run(): - assert run(11) == 748317 + assert run() == 748317 diff --git a/project_euler/40.py b/project_euler/40.py index f6c79dec..5b2701bd 100644 --- a/project_euler/40.py +++ b/project_euler/40.py @@ -16,7 +16,7 @@ def generate_champernownes_constant(limit: int) -> str: return s -def run(limit: int) -> int: +def run(limit=1_000_000) -> int: s = generate_champernownes_constant(limit) result = 1 @@ -28,4 +28,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1_000_000) == 210 + assert run() == 210 diff --git a/project_euler/48.py b/project_euler/48.py index 195cdba8..3a2916fb 100644 --- a/project_euler/48.py +++ b/project_euler/48.py @@ -7,7 +7,7 @@ from toolz import curried, pipe -def run(n: int) -> int: +def run(n=1_000) -> int: # This modulus will give us the last 10 digits. m = 10**10 result = pipe( @@ -19,4 +19,4 @@ def run(n: int) -> int: def test_run(): - assert run(1000) == 9110846700 + assert run() == 9110846700 diff --git a/project_euler/5.py b/project_euler/5.py index 61c9f731..80d93524 100644 --- a/project_euler/5.py +++ b/project_euler/5.py @@ -7,9 +7,9 @@ from math import lcm -def run(limit: int) -> int: +def run(limit=20) -> int: return reduce(lcm, range(1, limit + 1)) def test_run(): - assert run(20) == 232792560 + assert run() == 232792560 diff --git a/project_euler/53.py b/project_euler/53.py index ee9da79a..3066fa53 100644 --- a/project_euler/53.py +++ b/project_euler/53.py @@ -6,7 +6,7 @@ import math -def run(limit: int) -> int: +def run(limit=100) -> int: count = 0 for n in range(1, limit + 1): for r in range(1, n): @@ -17,4 +17,4 @@ def run(limit: int) -> int: def test_run(): - assert run(100) == 4075 + assert run() == 4075 diff --git a/project_euler/69.py b/project_euler/69.py index 4879883b..298986a0 100644 --- a/project_euler/69.py +++ b/project_euler/69.py @@ -7,7 +7,7 @@ from sympy import primerange -def run(limit: int) -> int: +def run(limit=1_000_000) -> int: acc = 1 for x in primerange(2, limit): @@ -21,4 +21,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1_000_000) == 510510 + assert run() == 510510 diff --git a/project_euler/7.py b/project_euler/7.py index ac48b6fc..1578d66d 100644 --- a/project_euler/7.py +++ b/project_euler/7.py @@ -6,10 +6,10 @@ from project_euler.common.primes import read_primes -def run(n: int) -> int: +def run(n=10_001) -> int: ps = read_primes() return ps[n - 1] def test_run(): - assert run(10001) == 104743 + assert run() == 104743 diff --git a/project_euler/70.py b/project_euler/70.py index bd2e4da4..41c4b74e 100644 --- a/project_euler/70.py +++ b/project_euler/70.py @@ -36,7 +36,7 @@ def semi_prime_pairs(limit: int) -> list[tuple[int, int]]: return pairs -def run(limit: int) -> int: +def run(limit=10_000_000) -> int: pairs = semi_prime_pairs(limit) result = 0 min_ratio = math.inf @@ -57,4 +57,4 @@ def run(limit: int) -> int: def test_run(): - assert run(10_000_000) == 8319823 + assert run() == 8319823 diff --git a/project_euler/76.py b/project_euler/76.py index 979250a4..73591866 100644 --- a/project_euler/76.py +++ b/project_euler/76.py @@ -15,9 +15,9 @@ def partition(k: int, n: int) -> int: return partition(k + 1, n) + partition(k, n - k) -def run(target: int) -> int: +def run(target=100) -> int: return partition(1, target) - 1 def test_run(): - assert run(100) == 190569291 + assert run() == 190569291 diff --git a/project_euler/8.py b/project_euler/8.py index 7a317836..a64281cd 100644 --- a/project_euler/8.py +++ b/project_euler/8.py @@ -7,7 +7,7 @@ from pathlib import Path -def run(window: int) -> int: +def run(window=13) -> int: file = Path(__file__).parent / "data" / "8.txt" data = "".join(file.read_text().splitlines()) @@ -56,4 +56,4 @@ def run(window: int) -> int: def test_run(): - assert run(13) == 23514624000 + assert run() == 23514624000 diff --git a/project_euler/9.py b/project_euler/9.py index 84813cb9..c3e722f4 100644 --- a/project_euler/9.py +++ b/project_euler/9.py @@ -3,7 +3,7 @@ # There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product a * b * c. # # See https://projecteuler.net/problem=9 -def run(limit: int) -> int: +def run(limit=1_000) -> int: # Limit search space for a; since b and c are greater than a, the maximum value for a is 1/3 of the target. a_max = limit // 3 for a in range(1, a_max): @@ -19,4 +19,4 @@ def run(limit: int) -> int: def test_run(): - assert run(1000) == 31875000 + assert run() == 31875000 From 4617b419e5a3f99ecc16b368080392bc7f2d65a3 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 21:33:15 -0700 Subject: [PATCH 59/60] builds --- .../{build-and-test.yml => build.yml} | 4 -- project_euler/10.py | 3 +- project_euler/27.py | 5 +- project_euler/35.py | 22 +++++-- project_euler/37.py | 4 +- project_euler/7.py | 5 +- project_euler/common/prime_factors.py | 4 +- project_euler/common/primes.py | 61 ------------------- pyproject.toml | 1 - scripts.py | 4 -- 10 files changed, 27 insertions(+), 86 deletions(-) rename .github/workflows/{build-and-test.yml => build.yml} (93%) delete mode 100644 project_euler/common/primes.py diff --git a/.github/workflows/build-and-test.yml b/.github/workflows/build.yml similarity index 93% rename from .github/workflows/build-and-test.yml rename to .github/workflows/build.yml index 5db4a5d1..f08fcc6f 100644 --- a/.github/workflows/build-and-test.yml +++ b/.github/workflows/build.yml @@ -62,7 +62,3 @@ jobs: author_name: github-actions[bot] author_email: github-actions[bot]@github.com message: Automatic commit via GitHub Actions - - - name: Test - if: ${{ steps.commit.outputs.committed == 'false' }} - run: poetry run test \ No newline at end of file diff --git a/project_euler/10.py b/project_euler/10.py index 31a07e68..edeba2ec 100644 --- a/project_euler/10.py +++ b/project_euler/10.py @@ -10,12 +10,13 @@ def run(limit=2_000_000) -> int: - return pipe( + result = pipe( primerange(2, limit), map(lambda p: cast(int, p)), filter(lambda p: p < limit), reduce(lambda a, b: a + b), ) + return cast(int, result) def test_run(): diff --git a/project_euler/27.py b/project_euler/27.py index 31ed2d27..dbb4182f 100644 --- a/project_euler/27.py +++ b/project_euler/27.py @@ -6,7 +6,8 @@ # Only consider |a| < 1000 and |b| < 1000. # # See https://projecteuler.net/problem=27 -from project_euler.common.primes import primes_under +from typing import cast +from sympy import primerange def f(n: int, a: int, b: int) -> int: @@ -24,7 +25,7 @@ def count_primes(a: int, b: int, ps: set[int]) -> int: def run(limit=1_000): candidates: dict[int, tuple[int, int]] = {} - ps = set([int(p) for p in primes_under(limit)]) + ps = set([cast(int, p) for p in primerange(2, limit)]) bs = ps.union([-p for p in ps]) for b in bs: diff --git a/project_euler/35.py b/project_euler/35.py index a89c6021..59bd33a2 100644 --- a/project_euler/35.py +++ b/project_euler/35.py @@ -5,7 +5,10 @@ # How many circular primes are there below one million? # # See https://projecteuler.net/problem=35 -from project_euler.common.primes import is_prime, primes +from typing import cast +from sympy import isprime, primerange +from toolz import pipe +from toolz.curried import filter, map, reduce def rotate(xs: list[str]) -> list[str]: @@ -22,11 +25,18 @@ def rotations(n: int) -> list[int]: def is_circular_prime(n: int) -> bool: - return all(is_prime(p) for p in rotations(n)) - - -def run() -> int: - return sum(1 for p in primes() if is_circular_prime(p)) + return all(isprime(p) for p in rotations(n)) + + +def run(limit=1_000_000) -> int: + result = pipe( + primerange(2, limit), + map(lambda p: cast(int, p)), + filter(lambda p: is_circular_prime(p)), + map(lambda p: 1), + reduce(lambda a, b: a + b), + ) + return cast(int, result) def test_run(): diff --git a/project_euler/37.py b/project_euler/37.py index 40709084..33526ea0 100644 --- a/project_euler/37.py +++ b/project_euler/37.py @@ -3,7 +3,7 @@ # Find the sum of the only eleven primes that are both truncatable from left to right and right to left. # # See https://projecteuler.net/problem=37 -from project_euler.common.primes import is_prime +from sympy import isprime def truncate(n: int, direction: str) -> int: @@ -18,7 +18,7 @@ def truncate(n: int, direction: str) -> int: def is_truncatable(n: int, direction: str) -> bool: - if not is_prime(n): + if not isprime(n): return False if n < 10: diff --git a/project_euler/7.py b/project_euler/7.py index 1578d66d..dd40193d 100644 --- a/project_euler/7.py +++ b/project_euler/7.py @@ -3,12 +3,11 @@ # What is the 10001st prime number? # # See https://projecteuler.net/problem=7 -from project_euler.common.primes import read_primes +from sympy import prime def run(n=10_001) -> int: - ps = read_primes() - return ps[n - 1] + return int(prime(n)) def test_run(): diff --git a/project_euler/common/prime_factors.py b/project_euler/common/prime_factors.py index a14a1503..cc0140cb 100644 --- a/project_euler/common/prime_factors.py +++ b/project_euler/common/prime_factors.py @@ -1,10 +1,10 @@ from functools import cache +from sympy import isprime from project_euler.common.divisors import divisors -from project_euler.common.primes import is_prime @cache def prime_factors(n: int) -> list[int]: ds = divisors(n) - ps = [d for d in ds if d > 1 and is_prime(d)] + ps = [d for d in ds if d > 1 and isprime(d)] return ps diff --git a/project_euler/common/primes.py b/project_euler/common/primes.py deleted file mode 100644 index c1848f81..00000000 --- a/project_euler/common/primes.py +++ /dev/null @@ -1,61 +0,0 @@ -from pathlib import Path -import numpy as np - - -PRIMES: set[int] = set() - - -def primes_under(n: int) -> np.ndarray: - """Returns all prime numbers less than n.""" - if n < 2: - return np.array([], dtype=int) - - # Create a boolean array of n elements, all defaulting to True. This is less efficient than running a sieve on only - # odd numbers, but it's sufficient for the problems we are working with. - sieve = np.ones(n, dtype=bool) - - # Mark 0 and 1 as non-prime. - sieve[0:2] = False - - # Only consider up to (and including) the sqrt(n); any number greater than sqrt(n) that is a multiple of a number - # less than sqrt(n) would have already been marked as non-prime. - limit = int(np.sqrt(n)) + 1 - for i in range(2, limit): - # Mark all multiples of i as non-prime. - if sieve[i]: - sieve[i * i : n : i] = False - - # Extract indices where the sieve is True (primes). - return np.flatnonzero(sieve).astype(int) - - -def write_primes(limit: int) -> None: - primes = primes_under(limit) - path = Path(__file__).parent / ".." / "data" / "primes.txt" - with path.open("w", encoding="utf-8") as file: - for prime in primes: - file.write(f"{prime}\n") - - -def read_primes() -> list[int]: - path = Path(__file__).parent / ".." / "data" / "primes.txt" - with path.open("r", encoding="utf-8") as file: - return [int(line.strip()) for line in file] - - -def primes() -> set[int]: - if not PRIMES: - PRIMES.update(read_primes()) - - return PRIMES - - -def is_prime(n: int) -> bool: - if not PRIMES: - PRIMES.update(read_primes()) - - return n in PRIMES - - -if __name__ == "__main__": - write_primes(5_000_000) diff --git a/pyproject.toml b/pyproject.toml index ab24ef02..144f906c 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -11,7 +11,6 @@ all = "scripts:run_all" format = "scripts:run_format" lint = "scripts:run_lint" test = "scripts:run_tests" -primes = "scripts:run_primes" [tool.poetry.dependencies] numpy = "^2.2.4" diff --git a/scripts.py b/scripts.py index d7f932e9..c4e92170 100644 --- a/scripts.py +++ b/scripts.py @@ -23,7 +23,3 @@ def run_format(): def run_tests(): run_cmd("poetry run pytest project_euler") - - -def run_primes(): - run_cmd("poetry run python project_euler/common/primes.py") From 24bbb3474b97b1847fb1c14fcc41f4d07cc8f884 Mon Sep 17 00:00:00 2001 From: Min Huang Date: Fri, 21 Mar 2025 21:34:46 -0700 Subject: [PATCH 60/60] python --- .github/workflows/build.yml | 2 +- README.md | 12 ++++-------- 2 files changed, 5 insertions(+), 9 deletions(-) diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml index f08fcc6f..9f001b35 100644 --- a/.github/workflows/build.yml +++ b/.github/workflows/build.yml @@ -1,4 +1,4 @@ -name: Build and Test +name: Build on: pull_request: diff --git a/README.md b/README.md index 078123f7..0b0d0f0a 100644 --- a/README.md +++ b/README.md @@ -4,12 +4,8 @@ These are solutions to [Project Euler](https://projecteuler.net/) problems. It's easy to find solutions on the net, so if you don't want to spoil the fun, don't look at these. -## Usage +## Development -1. Run `npm install`. -1. Run `npm run all` to build the entire project. -1. Run `make ` to run a specific solution. - -Some solution explanations on the [GitHub Pages](http://retiman.github.io/project-euler/) for this repository (published from the `docs` directory). - -Some solutions are written in Racket. \ No newline at end of file +1. Install poetry: `curl -sSL https://install.python-poetry.org | python` +1. Install dependencies: `poetry install` +1. Run tests: `poetry run test`