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'set'\n\n# N: ノーマルまたはレア\n# S: スーパーレア\n# U: ウルトラレア\nCARD_TYPES = %w(N S U)\nCARD_PROBABILITIES = {'N' => 0.72, 'S' => 0.2, 'U' => 0.08}\n\nPATTERN_PROBABILITIES = Hash.new(0)\n\n# SR以上の保証については、以下の仮定を置く。\n# - 4枚のカードの種類はランダムに選ぶ。さらに、「確定枠」を1か所選ぶ。確定枠のカードがSR未満ならSRに変更する。\n[*0..3].product(*[CARD_TYPES]*4) do |guarantee_position, *original_pattern_array|\n\tprobability = original_pattern_array.map do |c|\n\t\tCARD_PROBABILITIES[c]\n\tend.reduce(:*)\n\n\tactual_pattern = original_pattern_array.join\n\t# 確定枠の処理\n\tif actual_pattern[guarantee_position] == 'N'\n\t\tactual_pattern[guarantee_position] = 'S'\n\tend\n\n\twhile !actual_pattern.empty?\n\t\tPATTERN_PROBABILITIES[actual_pattern] += probability\n\t\tactual_pattern.chop!\n\tend\nend\n\n# 以下の問題を考える。\n# 「カードをめくるたびにcost円支払う。めくったカードがSR以上なら1円得る。\n# 1枚以上めくった任意の段階でやめてよい。最適にプレイしたときの儲けは？」\n# 最終的にcostが求める期待値に等しいとき、儲けは0になる。\ndef calculate_best_gain(cost, opened_pattern, patterns_to_shuffle = nil)\n\tif opened_pattern.size == 4\n\t\treturn 0.0\n\tend\n\t\n\tweighted_sum_gain = 0.0\n\tmarginal_probability_density = 0.0\n\tCARD_TYPES.each do |next_card|\n\t\tnext_pattern = opened_pattern + next_card\n\t\tgain = calculate_best_gain(cost, next_pattern, patterns_to_shuffle)\n\t\tif next_card != 'N'\n\t\t\tgain += 1\n\t\tend\n\t\tweighted_sum_gain += gain * PATTERN_PROBABILITIES[next_pattern]\n\t\tmarginal_probability_density += PATTERN_PROBABILITIES[next_pattern]\n\tend\n\t\n\texpected_gain_if_open = weighted_sum_gain / marginal_probability_density - cost\n\tif opened_pattern.empty? || expected_gain_if_open > 0\n\t\t# 儲けの期待値が正なら次のカードをめくるのがよい\n\t\treturn expected_gain_if_open\n\telse\n\t\t# 儲けの期待値がが0円以下ならシャッフル\n\t\tif !patterns_to_shuffle.nil?\n\t\t\tpatterns_to_shuffle.add(opened_pattern)\n\t\tend\n\t\treturn 0.0\n\tend\nend\n\ndef output_patterns_to_shuffle(opened_pattern, patterns_to_shuffle)\n\tif opened_pattern.size == 4\n\t\t# 4枚めくった場合の出力は自明なので省略\n\t\treturn\n\tend\n\tif patterns_to_shuffle.include?(opened_pattern)\n\t\tputs opened_pattern\n\telse\n\t\tCARD_TYPES.each do |next_card|\n\t\t\toutput_patterns_to_shuffle(opened_pattern + next_card, patterns_to_shuffle)\n\t\tend\n\tend\nend\n\nexpected_value = (0.0..1.0).bsearch do |cost|\n\tcalculate_best_gain(cost, \"\") <= 0\nend\n\nputs \"Expected value: #{expected_value}\"\npatterns_to_shuffle = Set.new\ncalculate_best_gain(expected_value, \"\", patterns_to_shuffle)\n\nputs\nputs \"Patterns to shuffle:\"\noutput_patterns_to_shuffle(\"\", patterns_to_shuffle)\n","codes",[],"stdin","compiler","createdAt",1766246991,"title","description","isPrivate","compilerInfo",{"_11":1374,"_13":1375,"_15":1376,"_17":1377,"_19":3437,"_22":25,"_24":23,"_26":1379,"_28":3438},[1377],[],"results",[3441,3445,3448,3451],{"_31":3442,"_3443":3444},"Control","data","Start",{"_31":3446,"_3443":3447},"StdOut","Expected value: 0.5305556184958002\n\nPatterns to shuffle:\nNNS\nNS\nNUS\nNUU\nS\nU\n",{"_31":3449,"_3443":3450},"ExitCode","0",{"_31":3442,"_3443":3452},"Finish","hpplib",[3455,3472,3483,3492,3501,3510,3519,3528,3538,3549,3560,3571,3582,3593,3604,3614],{"_11":3456,"_3457":3458,"_3433":3459,"_3460":3461,"_3462":3463,"_3468":3469},"CLI11","repository","CLIUtils/CLI11","CLI11 is a command line parser for C++11 and beyond that provides a rich feature set with a simple and intuitive interface.","headerDescription","","wandbox",{"_3464":3465,"_3466":3467},"tagName","v2.6.2","publishedAt","2026-02-26T14:44:25Z","clangd",{"_3464":3470,"_3466":3471},"v2.5.0","2025-02-27T12:29:12Z",{"_11":3473,"_3457":3474,"_3433":3475,"_3460":3476,"_3462":3477,"_3468":3480},"cxxopts","jarro2783/cxxopts","Lightweight C++ command line option parser","",{"_3464":3478,"_3466":3479},"v3.3.1","2025-05-26T08:12:04Z",{"_3464":3481,"_3466":3482},"v3.2.0","2024-02-15T05:32:43Z",{"_11":3484,"_3457":3485,"_3433":3486,"_3460":3487,"_3462":3488,"_3468":3491},"nanobench","martinus/nanobench","Simple, fast, accurate single-header microbenchmarking functionality for C++11/14/17/20","",{"_3464":3489,"_3466":3490},"v4.3.11","2023-02-16T19:06:26Z",{"_3464":3489,"_3466":3490},{"_11":3493,"_3457":3494,"_3433":3495,"_3460":3496,"_3462":3497,"_3468":3500},"toml11","ToruNiina/toml11","TOML for Modern C++","",{"_3464":3498,"_3466":3499},"v4.4.0","2025-02-15T16:20:52Z",{"_3464":3498,"_3466":3499},{"_11":3502,"_3457":3503,"_3433":3504,"_3460":3505,"_3462":3506,"_3468":3509},"toml++","marzer/tomlplusplus","Header-only TOML config file parser and serializer for C++17.","",{"_3464":3507,"_3466":3508},"v3.4.0","2023-10-13T13:45:17Z",{"_3464":3507,"_3466":3508},{"_11":3511,"_3457":3512,"_3433":3513,"_3460":3514,"_3462":3515,"_3468":3518},"rapidjson","Tencent/rapidjson","A fast JSON parser/generator for C++ with both SAX/DOM style API","",{"_3464":3516,"_3466":3517},"v1.1.0","2016-08-25T08:01:22Z",{"_3464":3516,"_3466":3517},{"_11":3520,"_3457":3521,"_3433":3522,"_3460":3523,"_3462":3524,"_3468":3527},"picojson","kazuho/picojson","a header-file-only, JSON parser serializer in C++","",{"_3464":3525,"_3466":3526},"v1.3.0","2015-02-25T04:12:53Z",{"_3464":3525,"_3466":3526},{"_11":3529,"_3457":3529,"_3433":3530,"_3460":3531,"_3462":3532,"_3468":3535},"nlohmann/json","JSON for Modern C++","",{"_3464":3533,"_3466":3534},"v3.12.0","2025-04-11T08:43:39Z",{"_3464":3536,"_3466":3537},"v3.11.3","2023-11-28T21:38:09Z",{"_11":3539,"_3457":3540,"_3433":3541,"_3460":3542,"_3462":3543,"_3468":3546},"csv-parser","vincentlaucsb/csv-parser","A high-performance, fully-featured CSV parser and serializer for modern C++.","",{"_3464":3544,"_3466":3545},"2.5.1","2026-02-24T07:20:54Z",{"_3464":3547,"_3466":3548},"2.3.0","2024-06-15T20:23:18Z",{"_11":3550,"_3457":3551,"_3433":3552,"_3460":3553,"_3462":3554,"_3468":3557},"rapidcsv","d99kris/rapidcsv","C++ CSV parser library","",{"_3464":3555,"_3466":3556},"v8.92","2026-02-21T07:45:50Z",{"_3464":3558,"_3466":3559},"v8.84","2024-09-28T05:31:16Z",{"_11":3561,"_3457":3562,"_3433":3563,"_3460":3564,"_3462":3565,"_3468":3568},"fmt","fmtlib/fmt","A modern formatting library","",{"_3464":3566,"_3466":3567},"12.1.0","2025-10-29T14:58:05Z",{"_3464":3569,"_3466":3570},"11.1.4","2025-02-26T18:33:33Z",{"_11":3572,"_3457":3573,"_3433":3574,"_3460":3575,"_3462":3576,"_3468":3579},"NumCpp","dpilger26/NumCpp","C++ implementation of the Python Numpy library","",{"_3464":3577,"_3466":3578},"Version_2.16.1","2026-03-17T02:41:59Z",{"_3464":3580,"_3466":3581},"Version_2.14.0","2025-02-09T04:16:30Z",{"_11":3583,"_3457":3584,"_3433":3585,"_3460":3586,"_3462":3587,"_3468":3590},"spdlog","gabime/spdlog","Fast C++ logging library.","",{"_3464":3588,"_3466":3589},"v1.17.0","2026-01-04T16:51:07Z",{"_3464":3591,"_3466":3592},"v1.15.1","2025-02-01T12:08:58Z",{"_11":3594,"_3457":3595,"_3433":3596,"_3460":3597,"_3462":3598,"_3468":3601},"expected-lite","martinmoene/expected-lite","expected lite - C++23 expected objects for C++11 and later in a single-file header-only library","",{"_3464":3599,"_3466":3600},"v0.10.0","2025-11-17T22:35:10Z",{"_3464":3602,"_3466":3603},"v0.8.0","2024-06-05T21:24:45Z",{"_11":3605,"_3457":3606,"_3433":3607,"_3460":3608,"_3462":3609,"_3468":3611},"gsl-lite","gsl-lite/gsl-lite","ISO C++ Core Guidelines Library implementation for C++98, C++11 up","",{"_3464":3516,"_3466":3610},"2026-03-14T11:41:58Z",{"_3464":3612,"_3466":3613},"v0.42.0","2024-11-01T20:24:11Z",{"_11":3615,"_3457":3616,"_3433":3617,"_3460":3618,"_3462":3619,"_3468":3622},"ut","boost-ext/ut","C++20 μ(micro)/Unit Testing framework","",{"_3464":3620,"_3466":3621},"v2.3.1","2025-04-02T13:02:52Z",{"_3464":3623,"_3466":3624},"v2.3.0","2025-02-04T11:58:39Z","env",{"_3627":3628,"_3629":3630,"_3631":3632,"_3633":3634,"_3635":3636,"_3637":3638,"_3639":3640,"_3641":3642,"_3643":3644},"KV_CACHE",{},"KV_SESSION",{},"R2_BUCKET",{},"WANDBOX_GITHUB_CLIENT_ID","f9d429d939d997e6b08e","WANDBOX_GITHUB_CLIENT_SECRET","d99b3d12225671cde514d9e2b3d5cc8356f4ed5f","WANDBOX_KV_COOKIE_SECRET","FaCnykHoYzqiXReGkgvmcYGvQdQ4yZUE","WANDBOX_R2_PREFIX","master/","WANDBOX_URL_PREFIX","https://api.wandbox.org","ASSETS",{},"root","actionData","errors"]