{"id":15168698,"url":"https://github.com/uncomputable/expressive-wallet","last_synced_at":"2026-02-11T17:31:58.500Z","repository":{"id":206876122,"uuid":"717879784","full_name":"uncomputable/expressive-wallet","owner":"uncomputable","description":"What is a minimal wallet of coins that can express all amounts below a target?","archived":false,"fork":false,"pushed_at":"2023-11-18T16:00:59.000Z","size":31,"stargazers_count":0,"open_issues_count":0,"forks_count":0,"subscribers_count":1,"default_branch":"master","last_synced_at":"2025-08-12T16:06:27.522Z","etag":null,"topics":["coq","formal-verification","maths","maths-problem","ocaml","theorem-proving"],"latest_commit_sha":null,"homepage":"","language":"Coq","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"cc0-1.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/uncomputable.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null}},"created_at":"2023-11-12T21:50:36.000Z","updated_at":"2023-11-15T16:40:53.000Z","dependencies_parsed_at":"2023-11-18T17:56:38.839Z","dependency_job_id":null,"html_url":"https://github.com/uncomputable/expressive-wallet","commit_stats":null,"previous_names":["uncomputable/expressive-wallet"],"tags_count":0,"template":false,"template_full_name":null,"purl":"pkg:github/uncomputable/expressive-wallet","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/uncomputable%2Fexpressive-wallet","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/uncomputable%2Fexpressive-wallet/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/uncomputable%2Fexpressive-wallet/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/uncomputable%2Fexpressive-wallet/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/uncomputable","download_url":"https://codeload.github.com/uncomputable/expressive-wallet/tar.gz/refs/heads/master","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/uncomputable%2Fexpressive-wallet/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":29339593,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-02-11T16:14:43.024Z","status":"ssl_error","status_checked_at":"2026-02-11T16:14:15.258Z","response_time":97,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.6:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["coq","formal-verification","maths","maths-problem","ocaml","theorem-proving"],"created_at":"2024-09-27T06:40:46.915Z","updated_at":"2026-02-11T17:31:58.463Z","avatar_url":"https://github.com/uncomputable.png","language":"Coq","readme":"# Expressive Wallet Problem\n\nTrigger warning: math ⚠️\n\n\"Given a set of coin denominations, what is a minimal wallet that can express all amounts up to a target amount?\"\n\nThis math problem actually has some use in daily life! Always pay the bill exactly ✅\n\n## Example: Euro cents 1, 2, 5, 10, 20, 50\n\nHere are minimal wallets for targets 0 to 100.\n\nIt is surprising how slowly the wallet grows with respect to the target. I can't help but see a skyscraper.\n\n| Target | Minimal Wallet               |\n|--------|------------------------------|\n| 0      | []                           |\n| 1      | [1]                          |\n| 2      | [1, 2]                       |\n| 3      | [1, 2]                       |\n| 4      | [1, 2, 2]                    |\n| 5      | [1, 2, 2]                    |\n| 6      | [1, 2, 2, 5]                 |\n| 7      | [1, 2, 2, 5]                 |\n| 8      | [1, 2, 2, 5]                 |\n| 9      | [1, 2, 2, 5]                 |\n| 10     | [1, 2, 2, 5]                 |\n| 11     | [1, 2, 2, 5, 10]             |\n| 12     | [1, 2, 2, 5, 10]             |\n| 13     | [1, 2, 2, 5, 10]             |\n| 14     | [1, 2, 2, 5, 10]             |\n| 15     | [1, 2, 2, 5, 10]             |\n| 16     | [1, 2, 2, 5, 10]             |\n| 17     | [1, 2, 2, 5, 10]             |\n| 18     | [1, 2, 2, 5, 10]             |\n| 19     | [1, 2, 2, 5, 10]             |\n| 20     | [1, 2, 2, 5, 10]             |\n| 21     | [1, 2, 2, 5, 10, 20]         |\n| 22     | [1, 2, 2, 5, 10, 20]         |\n| 23     | [1, 2, 2, 5, 10, 20]         |\n| 24     | [1, 2, 2, 5, 10, 20]         |\n| 25     | [1, 2, 2, 5, 10, 20]         |\n| 26     | [1, 2, 2, 5, 10, 20]         |\n| 27     | [1, 2, 2, 5, 10, 20]         |\n| 28     | [1, 2, 2, 5, 10, 20]         |\n| 29     | [1, 2, 2, 5, 10, 20]         |\n| 30     | [1, 2, 2, 5, 10, 20]         |\n| 31     | [1, 2, 2, 5, 10, 20]         |\n| 32     | [1, 2, 2, 5, 10, 20]         |\n| 33     | [1, 2, 2, 5, 10, 20]         |\n| 34     | [1, 2, 2, 5, 10, 20]         |\n| 35     | [1, 2, 2, 5, 10, 20]         |\n| 36     | [1, 2, 2, 5, 10, 20]         |\n| 37     | [1, 2, 2, 5, 10, 20]         |\n| 38     | [1, 2, 2, 5, 10, 20]         |\n| 39     | [1, 2, 2, 5, 10, 20]         |\n| 40     | [1, 2, 2, 5, 10, 20]         |\n| 41     | [1, 2, 2, 5, 10, 20, 20]     |\n| ...    | ...                          |\n| 60     | [1, 2, 2, 5, 10, 20, 20]     |\n| 61     | [1, 2, 2, 5, 10, 20, 20, 50] |\n| ...    | ...                          |\n| 100    | [1, 2, 2, 5, 10, 20, 20, 50] |\n","funding_links":[],"categories":[],"sub_categories":[],"project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Funcomputable%2Fexpressive-wallet","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Funcomputable%2Fexpressive-wallet","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Funcomputable%2Fexpressive-wallet/lists"}