{"id":6997,"date":"2016-05-14T08:48:06","date_gmt":"2016-05-13T23:48:06","guid":{"rendered":"http:\/\/www.webcyou.com\/?p=6997"},"modified":"2020-03-20T18:01:09","modified_gmt":"2020-03-20T09:01:09","slug":"5%e5%88%86%e3%81%a7%e8%a6%9a%e3%81%88%e3%82%8bai-minimax%ef%bc%88%e3%83%9f%e3%83%8b%e3%83%9e%e3%83%83%e3%82%af%e3%82%b9%ef%bc%89%e6%b3%95%e3%81%a8alpha-beta%e6%b3%95","status":"publish","type":"post","link":"https:\/\/www.webcyou.com\/?p=6997","title":{"rendered":"5\u5206\u3067\u899a\u3048\u308bAI 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loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-7002\" src=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/node.jpg\" alt=\"node\" width=\"523\" height=\"244\" srcset=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/node.jpg 523w, https:\/\/www.webcyou.com\/wp-content\/uploads\/node-300x140.jpg 300w\" sizes=\"auto, (max-width: 523px) 100vw, 523px\" 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1.5;\">\u7740\u624b\uff08\u5b9f\u969b\u306b\u77f3\u3092\u6253\u3064\u3053\u3068\uff09\u3092\u8868\u3057\u3066\u304a\u308a\u307e\u3059\u3002<\/span><\/p>\n<p>\u7070\u8272\u306b\u5857\u3089\u308c\u3066\u3044\u308b\u30ce\u30fc\u30c9\u304c\u9ed2\u306e\u5c40\u9762\u3068\u306a\u308a\u3001\u592a\u3044\u679d\u306f\u9ed2\u306e\u7740\u624b\u3092\u8868\u3057\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p>\u53c2\u7167\u3057\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u30ce\u30fc\u30c9\u306e\u4e2d\u306b\u306f\u756a\u53f7\u3092\u632f\u3063\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p><strong>\u300cN1\u300d\u300cN2\u300d\u300cN3\u300d\u306f\u3001\u300cN0\u300d\u306e\u4e0b\u306b\u3042\u308b<\/strong>\u306e\u3067\u3001\u3053\u306e\u5834\u5408\u3001<strong>\u300cN0\u300d\u306e\u5b50\u30ce\u30fc\u30c9<\/strong>\u3068\u306a\u308a\u3001<strong>\u300cN1\u300d\u300cN2\u300d\u300cN3\u300d\u304b\u3089\u53c2\u7167\u3057\u305f\u5834\u5408\u306f\u300cNo\u300d\u306f\u89aa\u30ce\u30fc\u30c9<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u5b9f\u969b\u306b\u30aa\u30bb\u30ed\u3092\u3059\u308b\u3068\u304d\u3001\u3042\u308b\u624b\u3092\u6253\u3063\u305f\u3089\u3069\u306e\u69d8\u306a\u5c40\u9762\u306b\u306a\u308b\u304b\u3092\u4e88\u60f3\u3057\u306a\u304c\u3089\u6253\u3063\u3066\u3044\u304f\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p>\u300c<strong>\u3053\u3053\u306b\u6253\u3064\u3068\u3001\u76f8\u624b\u306f\u3042\u305d\u3053\u3092\u6253\u3066\u308b\u69d8\u306b\u306a\u308b\u3002<\/strong>\u300d\u3068\u304b\u300c<strong>\u3053\u3053\u306f\u76f8\u624b\u304c\u4e0d\u5229\u306b\u306a\u308b\u304b\u3089\u3053\u3053\u306b\u6253\u3063\u3066\u304f\u308b<\/strong>\u300d\u306a\u3069<\/p>\n<p>\u3053\u306e\u69d8\u306b\u4f55\u624b\u304b\u5148\u3092\u4e88\u60f3\u3057\u3066\u7740\u624b\u3092\u6c7a\u3081\u308b\u3053\u3068\u3092\u300c\u5148\u8aad\u307f\u300d\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n<p>\u300c<strong>Minimax\uff08\u30df\u30cb\u30de\u30c3\u30af\u30b9\uff09<\/strong>\u300d\u306a\u3069\u306b\u304a\u3051\u308b\u63a2\u7d22\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u3053\u306e\u69d8\u306b\u5c40\u9762\u306b\u3066\u6253\u3066\u308b\u624b\u3092\u5217\u6319\u3057\u5b9f\u969b\u306b\u6253\u3063\u3066\u306f\u623b\u3057\u3066\u3001\u307e\u305f\u6253\u3063\u3066\u306f\u623b\u3057\u3066\u3001\u3068\u7e70\u308a\u8fd4\u3059\u4e8b\u306b\u3088\u3063\u3066\u5148\u8aad\u307f\u306e\u6700\u9069\u306a\u624b\u3092\u5c0e\u304d\u51fa\u3059\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u306a\u3063\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3067\u306f\u3001\u65e9\u901f<strong>Minimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/strong>\u306b\u3064\u3044\u3066\u66f8\u3044\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<h4>Minimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/h4>\n<p>\u6700\u5584\u624b\u3092\u63a2\u3057\u51fa\u3059\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3001<strong>\u300cMinimax\u300d\uff08\u30df\u30cb\u30de\u30c3\u30af\u30b9\uff09\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u5b8c\u5168\u60c5\u5831\u96f6\u548c\u30b2\u30fc\u30e0\u306e<strong>\u300cMinimax\u300d\uff08\u30df\u30cb\u30de\u30c3\u30af\u30b9\uff09\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/strong>\u3067\u6c7a\u3081\u3066\u3057\u307e\u3063\u3066\u3082\u826f\u3044\u304b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p><strong>\u300cMinimax\u300d\uff08\u30df\u30cb\u30de\u30c3\u30af\u30b9\uff09\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/strong>\u306e\u601d\u8003\u3068\u3057\u3066\u306f\u300c<strong>\u81ea\u5206\u306b\u3068\u3063\u3066\u306e\u6700\u5584\u624b\u306f\u3001\u76f8\u624b\u306b\u3068\u3063\u3066\u306e\u6700\u60aa\u624b<\/strong>\u300d\u3068\u8a00\u3063\u305f\u8003\u3048\u306b\u57fa\u3065\u3044\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p>\u76f8\u624b\u304c\u5e38\u306b\u76f8\u624b\u306b\u3068\u3063\u3066\u306e\u6700\u5584\u624b\u3001\u3064\u307e\u308a\u81ea\u5206\u306b\u3068\u3063\u3066\u306e\u6700\u60aa\u624b\u3092\u6253\u3063\u3066\u304f\u308b\u3068\u4eee\u5b9a\u3057\u3066\u6700\u5584\u624b\u3092\u6c42\u3081\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001<strong>2\u624b\u5148\u8aad\u307f\u306e\u4f8b<\/strong>\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u767d\u306e\u624b\u756a\u306f\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\uff08AI\uff09\u3068\u306a\u308a\u307e\u3059\u306e\u3067<strong>\u767d\u3092\u30eb\u30fc\u30c8\u30ce\u30fc\u30c9<\/strong>\u3068\u81f4\u3057\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u56f3\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-7008\" src=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/mm.jpg\" alt=\"mm\" width=\"370\" height=\"265\" srcset=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/mm.jpg 370w, https:\/\/www.webcyou.com\/wp-content\/uploads\/mm-300x215.jpg 300w\" sizes=\"auto, (max-width: 370px) 100vw, 370px\" \/><\/p>\n<p>\u5404\u5c40\u9762\u306e\u4e0b\u306b\u6570\u5024\u304c\u8a18\u3055\u308c\u3066\u3044\u308b\u306e\u304c\u3001\u300c<strong>\u5404\u5c40\u9762\u306b\u304a\u3051\u308b\u8a55\u4fa1\u95a2\u6570\u3067\u6c42\u3081\u305f\u8a55\u4fa1\u5024<\/strong>\u300d\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u8a55\u4fa1\u5024\u3068\u306f\u3001<strong>\u300c\u3053\u3053\u3092\u53d6\u308b\u3068\u6709\u5229\u300d\u300c\u3053\u3053\u3092\u53d6\u308b\u3068\u4e0d\u5229\u300d<\/strong>\u3068\u8a00\u3063\u305f\u3088\u3046\u306b\u3001\u76e4\u306b\u305d\u308c\u305e\u308c\u70b9\u6570\u4ed8\u3051\u3057\u305f\u3082\u306e\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u30aa\u30bb\u30ed\u306a\u3069\u3067\u306f\u4e00\u822c\u7684\u306b\u300c<strong>\u56db\u9685\u3092\u53d6\u308b\u3068\u826f\u3044<\/strong>\u300d\u306a\u3069\u3068\u3044\u3063\u305f\u4e8b\u304c\u6d78\u900f\u3057\u3066\u3044\u308b\u304b\u3068\u601d\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u9006\u306b\u300c<strong>\u56db\u9685\u3092\u53d6\u3089\u305b\u3066\u3057\u307e\u3046\u914d\u7f6e\u306f\u826f\u304f\u306a\u3044<\/strong>\u300d\u3068\u8a00\u3063\u305f\u3088\u3046\u306b\u3001<strong>\u300c\u826f\u3044\u300d\u7b87\u6240\u306b\u306f\u70b9\u6570\u304c\u9ad8\u304f\u3001\u300c\u60aa\u3044\u300d\u7b87\u6240\u306b\u306f\u70b9\u6570\u304c\u4f4e\u3044\u8a55\u4fa1\u5024<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u8a55\u4fa1\u95a2\u6570\u306b\u95a2\u3057\u3066\u306f\u3001\u307e\u305f\u9577\u304f\u306a\u308a\u307e\u3059\u306e\u3067\u4eca\u56de\u306f\u5272\u611b\u3055\u305b\u3066\u9802\u304d\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u307e\u305f\u56f3\u306b\u623b\u308a\u307e\u3057\u3066\u3001\u307e\u305a\u6700\u521d\u306b\u30eb\u30fc\u30c8\u30ce\u30fc\u30c9\u3067\u3042\u308bN0\u306f\u30b3\u30f3\u30d4\u30e5\u30bf\u30fc\u306e\u624b\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u4f55\u7b87\u6240\u304b\u6253\u3066\u308b\u7b87\u6240\u304c\u5b58\u5728\u3059\u308b\u3068\u3057\u3066\u3001\u4e0a\u8a18\u306e\u56f3\u306f\u305d\u306e1\u624b\u306b\u7740\u76ee\u3057\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305a\u306f\u4f55\u3082\u8003\u3048\u305a\u3001\u624b\u3092\u6253\u3061\u307e\u3059\u3002<\/p>\n<p>\u6b21\u306f\u9ed2\u300c\u76f8\u624b\u300d\u306e\u624b\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u6642\u3001<strong>\u9ed2\u306e\u5c40\u9762\u3067\u306f\u30ce\u30fc\u30c9\u300cN1-1\u300d\u3068\u300cN1-2\u300d\u306e\u4e8c\u3064\u306e\u624b\u304c\u5b58\u5728<\/strong>\u3059\u308b\u3068\u3057\u307e\u3059\u3002<\/p>\n<p><strong>\u300cN1-1\u300d\u306e\u5c40\u9762\u306b\u304a\u3051\u308b\u8a55\u4fa1\u5024\u304c 7<\/strong>\u3068\u3057\u3001<strong>\u300cN1-2\u300d\u306e\u5c40\u9762\u306b\u304a\u3051\u308b\u8a55\u4fa1\u5024\u304c12<\/strong>\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e\u6642\u3001<strong>\u9ed2\u300c\u76f8\u624b\u300d\u306f\u767d\u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u300d\u306b\u3068\u3063\u3066\u826f\u3044\u624b\u306b\u306a\u308b\u69d8\u306b\u306f\u6253\u305f\u305b\u305f\u304f\u306a\u3044\u3002<\/strong>\u3068\u8003\u3048\u308b\u3082\u306e\u3067\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001<strong>\u9ed2\u300c\u76f8\u624b\u300d\u306f\u8a55\u4fa1\u5024\u304c\u9ad8\u3044\u300cN1-2\u300d\u8a55\u4fa1\u502412\u306e\u5c40\u9762\u3092\u4e0e\u3048\u3066\u304f\u308c\u305a\u3001\u76f8\u624b\u306b\u3068\u3063\u3066\u4e0d\u5229\u306a\u5c40\u9762\u3092\u9078\u629e<\/strong>\u3059\u308b\u4eee\u5b9a\u3057\u307e\u3059\u3002<\/p>\n<p>\u3088\u3063\u3066\u3001\u8a55\u4fa1\u5024\u306e\u4f4e\u3044\u30ce\u30fc\u30c9\u300cN1-1\u300d\u8a55\u4fa1\u50247\u3092\u9078\u629e\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001\u30ce\u30fc\u30c9<strong>\u300cN1\u300d\u306b\u304a\u3051\u308b\u8a55\u4fa1\u5024\u306f7\uff08MIN\uff09<\/strong>\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u308c\u304c\u3001<strong>\u300cMinimax\u300d\uff08\u30df\u30cb\u30de\u30c3\u30af\u30b9\uff09\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/strong>\u306e\u57fa\u672c\u7684\u306a\u8003\u3048\u65b9\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u3061\u3087\u3063\u3068\u6253\u3066\u308b\u624b\u3092\u5897\u3084\u3057\u3066\u78ba\u8a8d\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-7010\" src=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/mini2.jpg\" alt=\"mini2\" width=\"540\" height=\"265\" srcset=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/mini2.jpg 540w, https:\/\/www.webcyou.com\/wp-content\/uploads\/mini2-300x147.jpg 300w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/><\/p>\n<p>N0\u306e\u5c40\u9762\u306b\u304a\u3051\u308b\u6253\u3066\u308b\u624b\u304c3\u3064\u3042\u3063\u305f\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u5148\u307b\u3069\u3001\u30ce\u30fc\u30c9<strong>\u300cN1\u300d<\/strong>\u306b\u95a2\u3057\u3066\u307f\u305f\u306e\u3067\u3001\u6b21\u306f\u30ce\u30fc\u30c9<strong>\u300cN2\u300d<\/strong>\u306e\u624b\u3092\u898b\u3066\u3044\u304d\u307e\u3059\u3002<\/p>\n<p><strong>\u4f55\u3082\u8003\u3048\u305a\u3001\u624b\u3092\u6253\u3061\u3001\u300c\u9ed2\u300d\uff08\u76f8\u624b\uff09\u306e\u624b\u756a<\/strong>\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u30012\u3064\u306e\u624b\u304c\u6253\u3066\u308b\u5c40\u9762\u3060\u3068\u3057\u3001\u305d\u308c\u305e\u308c\u306e\u5c40\u9762\u3092\u30ce\u30fc\u30c9<strong>\u300cN2-1\u300d\u300cN2-2\u300d<\/strong>\u3068\u3057\u307e\u3059\u3002<\/p>\n<p>\u300cN2-1\u300d\u306e\u8a55\u4fa1\u5024\u306f-5\u3001\u300cN2-2\u300d\u3068-10\u3068\u3057\u3001\u307e\u305f<strong>\u300c\u9ed2\u300d\uff08\u76f8\u624b\uff09\u306f\u300cN1\u300d\u540c\u69d8\u3067\u767d\u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u300d\u306b\u3068\u3063\u3066\u826f\u3044\u624b\u306b\u306a\u308b\u69d8\u306b\u306f\u6253\u305f\u305b\u305f\u304f\u306a\u3044\u3002<\/strong><\/p>\n<p>\u3064\u307e\u308a\u3001\u60aa\u3044\u5c40\u9762\u306b\u306a\u308b\u69d8\u306b\u9078\u629e\u3059\u308b\u3002\u3068\u4eee\u5b9a\u3057\u307e\u3059\u306e\u3067\u3001\u3053\u3053\u3067\u306f\u8a55\u4fa1\u5024\u306e\u4f4e\u3044\u300cN2-2\u300d-10\u3092\u9078\u629e\u3002<\/p>\n<p>\u3088\u3063\u3066\u3001N2\u306e\u8a55\u4fa1\u5024\u306f-10\u3002<\/p>\n<p>N3\u3082\u540c\u69d8\u3001<strong>\u8a55\u4fa1\u5024\u306e\u6700\u3082\u9ad8\u3044\u300cN3-1\u300d\u8a55\u4fa1\u502420\u304c\u51fa\u73fe\u3057\u307e\u3059\u304c\u3001\u4eca\u307e\u3067\u540c\u69d8\u306b\u300c\u9ed2\u300d\uff08\u76f8\u624b\uff09\u306f\u3001\u3053\u306e\u5c40\u9762\u306b\u306a\u3089\u306a\u3044\u69d8\u306b\u6253\u3061\u307e\u3059<\/strong>\u306e\u3067\u3053\u3053\u3067\u306f\u300cN3-2\u300d\u8a55\u4fa1\u5024-3\u3092\u9078\u629e\u3002<\/p>\n<p>\u3088\u3063\u3066\u3001N3\u306e\u8a55\u4fa1\u5024\u306f-2\u3002<\/p>\n<p>\u3053\u308c\u3067\u30013\u3064\u306e\u624b\u306b\u304a\u3051\u308b\u8a55\u4fa1\u304c\u7b97\u51fa\u3067\u304d\u307e\u3057\u305f\u3002<\/p>\n<p><strong>\u767d\u300c\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\u30fc\u300d\u306f\u8a55\u4fa1\u5024\u304c\u9ad8\u3044\uff08MAX\uff09\u306e\u624b\u3092\u9078\u629e<\/strong>\u3057\u307e\u3059\u306e\u3067\u3001\u3053\u306e\u5c40\u9762\u306b\u304a\u3051\u308b\u6253\u3064\u624b\u306f\u300cN1\u300d\u8a55\u4fa1\u50247\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u7591\u4f3c\u30b3\u30fc\u30c9\u306e\u65b9\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>&nbsp;<\/p>\n<h5>Minimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u7591\u4f3c\u30b3\u30fc\u30c9<\/h5>\n<pre class=\"brush: plain; title: ; notranslate\" title=\"\">int maxlevel(int limit) {\r\n  if(\u6df1\u3055\u5236\u9650)\r\n    return \u8a55\u4fa1\u5024;\r\n\r\n  \u53ef\u80fd\u306a\u624b\u3092\u5168\u3066\u751f\u6210;\r\n\r\n  foreach\uff08\u305d\u308c\u305e\u308c\u306e\u624b\uff09 {\r\n    int score, score_max;\r\n    \u624b\u3092\u6253\u3064;\r\n    score = minlevel(limit - 1);\u6b21\u306e\u76f8\u624b\u306e\u624b\r\n    \u624b\u3092\u623b\u3059;\r\n\r\n    if (score &gt; score_max) {\r\n      \u3088\u308a\u826f\u3044\u624b\u304c\u898b\u3064\u304b\u3063\u305f\r\n      score_max = score;\r\n    }\r\n  }\r\n  return score_max;\r\n}\r\n\r\n\u76f8\u624b\u306e\u624b\u3092\u8abf\u3079\u308b\r\nint minlevel(int limit) {\r\n  if(\u6df1\u3055\u5236\u9650)\r\n    return \u8a55\u4fa1\u5024;\r\n  \r\n  \u53ef\u80fd\u306a\u624b\u3092\u5168\u3066\u751f\u6210;\r\n\r\n  foreach\uff08\u305d\u308c\u305e\u308c\u306e\u624b\uff09 {\r\n    int score, score_min;\r\n    \u624b\u3092\u6253\u3064;\r\n    score = minlevel(limit - 1);\u6b21\u306e\u81ea\u5206\u306e\u624b\r\n    \u624b\u3092\u623b\u3059;\r\n    if (score &lt; score_min) {\r\n      \u3088\u308a\u60aa\u3044\u624b\uff08\u76f8\u624b\u306b\u3068\u3063\u3066\u826f\u3044\u624b\uff09\u304c\u898b\u3064\u304b\u3063\u305f\r\n      score_min = score;\r\n    }\r\n  }\r\n  return score_min;\r\n}<\/pre>\n<p>\u95a2\u6570maxlevel()\u3067\u306f\u3001\u81ea\u5206\uff08\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\uff09\u304c\u6253\u3064\u624b\u306b\u3064\u3044\u3066\u8abf\u3079\u3066\u3044\u304d\u3001\u95a2\u6570minlevel()\u3067\u306f\u3001\u76f8\u624b\u306e\u624b\u306b\u3064\u3044\u3066\u8abf\u3079\u3066\u3044\u307e\u3059\u3002<\/p>\n<p>\u300c<strong>\u6df1\u3055\u5236\u9650<\/strong>\u300d\u3068\u306f\u3001\u4f55\u624b\u5148\u307e\u3067\u624b\u3092\u8aad\u3080\u304b\u3068\u3044\u3063\u305f\u5236\u9650\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e<strong>\u5148\u8aad\u307f\u624b\u6570\u306e\u5236\u9650\u30921\u624b\u5897\u3084\u3059\u5ea6\u306b\u6570\u500d<\/strong>\u3068\u306a\u3063\u3066\u3057\u307e\u3046\u306e\u3067\u3001\u6c17\u3092\u3064\u3051\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u63a2\u7d22\u3092\u59cb\u3081\u308b\u524d\u306b\u300c<strong>\u6df1\u3055\u5236\u9650<\/strong>\u300d\u3092\u6c7a\u3081\u3066\u304a\u3044\u3066\u3001\u305d\u306e\u6570\u3092\u95a2\u6570\u306e\u65b9\u3078\u3068\u6e21\u3057\u307e\u3059\u3002<\/p>\n<p><strong>\u518d\u5e30\u7684\u306b\u5b50\u30ce\u30fc\u30c9\u3092\u8abf\u3079\u308b\u969b\u306b\u5236\u9650\u5024\u3092\u6e1b\u3089\u3057\u3066\u3044\u304d\u3001\u6700\u7d42\u7684\u306b0\u306b\u306a\u308b\u307e\u3067\u63a2\u7d22<\/strong>\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<p>\u8a55\u4fa1\u95a2\u6570\u306b\u95a2\u3057\u3066\u306f\u3069\u3061\u3089\u3082\u81ea\u5206\uff08\u30b3\u30f3\u30d4\u30e5\u30fc\u30bf\uff09\u304b\u3089\u307f\u305f\u8a55\u4fa1\u5024\u3092\u8fd4\u3059\u69d8\u306b\u3057\u3066\u304a\u304d\u307e\u3059\u3002<\/p>\n<p>\u5b9f\u969b\u306b\u6253\u3064\u624b\u3092\u6c7a\u3081\u308b\u969b\u306b\u306f\u3001<strong>\u6839\uff08\u73fe\u5728\u306e\u5c40\u9762\uff09\u306e\u30ce\u30fc\u30c9\u306e\u8a55\u4fa1\u5024\u3092\u6c42\u3081\u308b\u306e\u3067\u306f\u306a\u304f\u3001\u6839\u306e\u5b50\u30ce\u30fc\u30c9\u306e\u8a55\u4fa1\u5024\u3092\u5168\u3066\u6c42\u3081\u3001\u6700\u3082\u9ad8\u3044\u8a55\u4fa1\u5024\u3092\u4e0e\u3048\u308b\u5b50\u30ce\u30fc\u30c9\u306e\u624b\u3092\u6253\u3064<\/strong>\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<h5>\u6253\u3064\u624b\u3092\u6c7a\u5b9a\u3059\u308b\u305f\u3081\u306e\u7591\u4f3c\u30b3\u30fc\u30c9<\/h5>\n<pre class=\"brush: plain; title: ; notranslate\" title=\"\">void move() {\r\n  Point p;\r\n  int eval, eval_max = -INT_MAX;\r\n\r\n  foreach\uff08\u305d\u308c\u305e\u308c\u306e\u624b\uff09 {\r\n    \u624b\u3092\u6253\u3064;\r\n    eval = minlevel();\r\n    \u624b\u3092\u623b\u3059;    \r\n    if(eval &gt; eval_max)\r\n      p = \u4eca\u6253\u3063\u305f\u624b;\r\n  }\r\n  \u624b p\u3092\u6253\u3064;\r\n}<\/pre>\n<h4>alpha-beta\u6cd5<\/h4>\n<p>Mnimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u6700\u5584\u624b\u3092\u6c42\u3081\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u3055\u308c\u3066\u3044\u307e\u3059\u304c\u3001\u300c<strong>\u6642\u9593\u304c\u304b\u304b\u308a\u904e\u304e\u3066\u3057\u307e\u3046<\/strong>\u300d\u3068\u3044\u3046\u6b20\u70b9\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u3053\u306e<strong>Mnimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306e\u52b9\u7387\u5316<\/strong>\u3055\u308c\u3066\u3044\u308b\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3088\u304f\u77e5\u3089\u308c\u3066\u3044\u308b\u300c<strong>alpha-beta\u6cd5<\/strong>\u300d\u3068\u3044\u3046\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u300c<strong>alpha-beta\u6cd5<\/strong>\u300d\u3067\u306f\u3001\u7d76\u5bfe\u306b\u63a1\u7528\u3055\u308c\u306a\u3044\u624b\u3092\u305d\u308c\u4ee5\u4e0a\u8aad\u307f\u8fbc\u307e\u306a\u3044\u3053\u3068\u3067\u679d\u5208\u308a\u3092\u884c\u3044\u3001\u52b9\u7387\u5411\u4e0a\u3055\u305b\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>\u3067\u306f\u3001\u4e0a\u8a18\u3067\u4f7f\u7528\u3057\u305f\u56f3\u3092\u53c2\u8003\u306b\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-full wp-image-7010\" src=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/mini2.jpg\" alt=\"mini2\" width=\"540\" height=\"265\" srcset=\"https:\/\/www.webcyou.com\/wp-content\/uploads\/mini2.jpg 540w, https:\/\/www.webcyou.com\/wp-content\/uploads\/mini2-300x147.jpg 300w\" sizes=\"auto, (max-width: 540px) 100vw, 540px\" \/><\/p>\n<p>\u4e0a\u8a18\u306e\u56f3\u3067\u306f<strong>\u6700\u7d42\u7684\u306bN1\u306e\u30ce\u30fc\u30c9\u300c\u8a55\u4fa1\u5024 7\u300d\u304c\u9078\u629e<\/strong>\u3055\u308c\u307e\u3057\u305f\u3002<\/p>\n<p>\u305d\u306e\u5f8c\u306b\u63a2\u7d22\u3092\u884c\u3063\u305f<strong>N2\u3001N3\u306e\u63a2\u7d22\u304c\u7121\u99c4<\/strong>\u306b\u306a\u3063\u305f\u306e\u304c\u308f\u304b\u308a\u307e\u3059\u3002\u3053\u306e<strong>N2\u3001N3\u306e\u63a2\u7d22\u3092\u52b9\u7387\u3088\u304f\u63a2\u7d22<\/strong>\u3092\u884c\u3044\u305f\u3044\u3067\u3059\u3088\u306d\u3002<\/p>\n<p>N1\u306b\u7d9a\u304f\u3001N2\u3001N3\u306e\u63a2\u7d22\u3067\u306f\u3001<strong>N1\u306e\u30ce\u30fc\u30c9\u300c\u8a55\u4fa1\u5024 7\u300d\u3088\u308a\u9ad8\u3044\u8a55\u4fa1\u5024\u304c\u5f97\u3089\u308c\u308b\u624b\u3092\u63a2\u7d22<\/strong>\u3057\u3066\u3044\u307e\u3059\u306e\u3067\u3001<strong>N1\u306e\u30ce\u30fc\u30c9\u300c\u8a55\u4fa1\u5024 7\u300d\u3088\u308a\u4f4e\u3044\u8a55\u4fa1\u5024\u3068\u306a\u308b\u5834\u5408\u306f\u5fc5\u8981\u306a\u3044<\/strong>\u3053\u3068\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3064\u307e\u308a\u3001<strong>\u300c\u8a55\u4fa1\u5024 7\u300d\u3088\u308a\u4f4e\u3044\u8a55\u4fa1\u5024\u304c\u8fd4\u3063\u3066\u6765\u305f\u969b\u306b\u306f\u3001\u305d\u306e\u6642\u70b9\u3067\u63a2\u7d22\u3092\u6253\u3061\u5207\u3063\u3066\u826f\u3044<\/strong>\u3068\u3044\u3046\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001N2\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>\u4e0a\u8a18\u306eMinmax\u6cd5\u3067\u306f\u3001\u30ce\u30fc\u30c9 N2\u3067\u306f\u8a55\u4fa1\u5024 -10 \u3068\u306a\u308a\u307e\u3057\u305f\u3002<\/p>\n<p>N2-1\u3067\u306f-5\u3001N2-2\u3067\u306f-10\u3068\u306a\u3063\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3057\u304b\u3057\u3001<strong>N2-1\u306e\u8a55\u4fa1\u5024 -5\u304c\u8fd4\u3063\u3066\u304d\u305f\u6642\u70b9\u3067\u3001N1\u306e\u30ce\u30fc\u30c9\u300c\u8a55\u4fa1\u5024 7\u300d\u3088\u308a\u4f4e\u3044\u306e\u304c\u660e\u78ba<\/strong>\u3068\u306a\u3063\u3066\u304a\u308a\u307e\u3059\u306e\u3067\u3001N2-2\u306e\u30ce\u30fc\u30c9\u306e\u63a2\u7d22\u306f\u5fc5\u8981\u306a\u3044\u3053\u3068\u304c\u5206\u304b\u308a\u307e\u3059\u3002<\/p>\n<p>\u306a\u306e\u3067\u3001N2-2\u306e\u63a2\u7d22\u3092\u884c\u308f\u305a\u3001N3\u306e\u63a2\u7d22\u3092\u884c\u3044\u307e\u3059\u3002<\/p>\n<p>N3\u306e\u5b50\u30ce\u30fc\u30c9\u3067\u306f\u3001N3-1\u3067\u306f20\u3001N3-2\u3067\u306f-2\u3068\u306a\u3063\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p>N3-1\u306e\u6642\u70b9\u3067\u306f\u3001<strong>N1\u306e\u30ce\u30fc\u30c9\u300c\u8a55\u4fa1\u5024 7\u300d\u3088\u308a\u9ad8\u3044\u306e\u3067\u3001\u3055\u3089\u306b\u63a2\u7d22\u3092\u7d99\u7d9a<\/strong>\u3057\u307e\u3059\u3002<\/p>\n<p>\u3057\u304b\u3057\u3001<strong>N3-2\u3067-2\u306e\u8a55\u4fa1\u5024\u304c\u8fd4\u3063\u3066\u304d\u307e\u3059\u306e\u3067\u3053\u306e\u6642\u70b9\u3067\u63a2\u7d22\u3092\u6253\u3061\u5207\u308a\u307e\u3059\u3002<\/strong><\/p>\n<p>\u4e0a\u8a18\u3067\u306f\u30012\u3064\u306e\u624b\u3057\u304b\u306a\u3044\u306e\u3067\u3059\u304c\u3001\u3082\u3057\u3001N3\u306b3\u3064\u30844\u3064\u306e\u624b\u304c\u5b58\u5728\u3057\u305f\u5834\u5408\u3001N3-2\u306e\u6642\u70b9\u3067\u63a2\u7d22\u306f\u884c\u3044\u307e\u305b\u3093\u3002<\/p>\n<p><strong>\u300calpha-beta\u6cd5\u300d\u3067\u306f\u3053\u3046\u8a00\u3063\u305f\u5f62\u3067\u3001\u300c\u63a2\u7d22\u3092\u6253\u3061\u5207\u308b\u300d\u4e8b\u306b\u3088\u3063\u3066\u52b9\u7387\b\u3092\u5411\u4e0a<\/strong>\u3059\u308b\u4e8b\u304c\u3067\u304d\u307e\u3059\u3002<\/p>\n<p>&nbsp;<\/p>\n<p>\u4e0a\u8a18\u306e\u4f8b\u3067\u306f\u3001<strong>\u300c\u8a55\u4fa1\u5024 7\u300d\u3088\u308a\u4f4e\u3044\u8a55\u4fa1\u5024\u304c\u8fd4\u3063\u3066\u6765\u305f\u969b\u306b\u306f\u3001\u679d\u5208\u308a<\/strong>\u3092\u884c\u3044\u307e\u3057\u305f\u3002<\/p>\n<p>\u3053\u306e\u300c\u8a55\u4fa1\u5024 7\u300d\u306e\u4e0b\u9650\u5024\u306e\u4e8b\u3092\u300c<strong>\u03b1\u5024<\/strong>\u300d\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u81ea\u5206\u306e\u30ce\u30fc\u30c9\u3092\u63a2\u7d22\u3059\u308b\u969b\u306b\u30011\u3064\u4e0a\u306e\u30ce\u30fc\u30c9\u306e\u5024\u3067\u300c\u9ad8\u3005\u3053\u306e\u5024\u300d\u3068\u3044\u3046\u4e0a\u9650\u5024\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<p>\u305d\u306e\u4e0a\u9650\u5024\u306e\u4e8b\u3092\u300c<strong>\u03b2\u5024<\/strong>\u300d\u3068\u547c\u3073\u307e\u3059\u3002<\/p>\n<p>\u300c<strong>\u03b1\u5024<\/strong>\u300d\u3092\u7528\u3044\u3066\u679d\u5208\u308a\u3092\u884c\u3046\u4e8b\u3092<strong>\u300c\u03b1\u5208\u308a\u300d(alpha pruning)<\/strong>\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<p>\u307e\u305f\u3001\u300c<strong>\u03b2\u5024<\/strong>\u300d\u3092\u7528\u3044\u3066\u679d\u5208\u308a\u3092\u884c\u3046\u4e8b\u3092<strong>\u300c\u03b2\u5208\u308a\u300d(beta pruning)<\/strong>\u3068\u8a00\u3044\u307e\u3059\u3002<\/p>\n<p>\u300c<strong>alpha-beta\u6cd5<\/strong>\u300d\u306f\u3001Minimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3068\u540c\u3058\u7d50\u679c\u304c\u8fd4\u308b\u3046\u3048\u3001\u679d\u5208\u308a\u3092\u884c\u3046\u4e8b\u306b\u3088\u3063\u3066\u8b1d\u3063\u305f\u624b\u3092\u9078\u629e\u3059\u308b\u4e8b\u3082\u7121\u304f\u306a\u308b\u306e\u3067\u3001Minmax\u6cd5\u3092\u7528\u3044\u308b\u5834\u5408\u306f\u3001\u300c<strong>alpha-beta\u6cd5<\/strong>\u300d\u304c\u307b\u307c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002<\/p>\n<p>\u305d\u308c\u3067\u306f\u3001\u7591\u4f3c\u30b3\u30fc\u30c9\u3092\u898b\u3066\u3044\u304d\u307e\u3057\u3087\u3046\u3002<\/p>\n<p>Minimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u30d9\u30fc\u30b9\u306b\u679d\u5208\u308a\u306e\u51e6\u7406\u3092\u8ffd\u52a0\u3057\u305f\u6539\u826f\u7248\u3068\u3044\u3046\u4e8b\u304c\u308f\u304b\u308a\u307e\u3059\u3002<\/p>\n<pre class=\"brush: plain; title: ; notranslate\" title=\"\">int maxlevel(int alpha, int beta) {\r\n  if(\u6df1\u3055\u5236\u9650)\r\n    return \u8a55\u4fa1\u5024;\r\n\r\n  \u53ef\u80fd\u306a\u624b\u3092\u5168\u3066\u751f\u6210;\r\n\r\n  foreach\uff08\u305d\u308c\u305e\u308c\u306e\u624b\uff09 {\r\n    int score, score_max;\r\n    \u624b\u3092\u6253\u3064;\r\n    score = minlevel(alpha, beta);\u6b21\u306e\u76f8\u624b\u306e\u624b\r\n    \u624b\u3092\u623b\u3059;\r\n    if (score =&gt; beta) {\r\n      beta\u5024\u3092\u4e0a\u56de\u3063\u305f\u3089\u63a2\u7d22\u3092\u4e2d\u6b62\r\n      return\u00a0score;\r\n    }\r\n\r\n    if (score &gt; score_max) {\r\n      \u3088\u308a\u826f\u3044\u624b\u304c\u898b\u3064\u304b\u3063\u305f\r\n      score_max = score;\r\n      alpha = max(alpha, score_max); \u03b1\u5024\u3092\u66f4\u65b0\r\n    }\r\n  }\r\n  return score_max;\r\n}\r\n\r\n\u76f8\u624b\u306e\u624b\u3092\u8abf\u3079\u308b\r\nint minlevel(int alpha, int beta) {\r\n  if(\u6df1\u3055\u5236\u9650)\r\n    return \u8a55\u4fa1\u5024;\r\n\r\n  \u53ef\u80fd\u306a\u624b\u3092\u5168\u3066\u751f\u6210;\r\n  foreach\uff08\u305d\u308c\u305e\u308c\u306e\u624b\uff09 {\r\n    int score, score_min;\r\n    \u624b\u3092\u6253\u3064;\r\n    score = minlevel(limit - 1);\u6b21\u306e\u81ea\u5206\u306e\u624b\r\n    \u624b\u3092\u623b\u3059;\r\n  \r\n    if (score &lt;=\u00a0alpha) {\r\n      alpha\u5024\u3092\u4e0a\u56de\u3063\u305f\u3089\u63a2\u7d22\u3092\u4e2d\u6b62\r\n      return\u00a0score;\r\n    }\r\n\r\n    if (score &lt; score_min) {\r\n      \u3088\u308a\u60aa\u3044\u624b\uff08\u76f8\u624b\u306b\u3068\u3063\u3066\u826f\u3044\u624b\uff09\u304c\u898b\u3064\u304b\u3063\u305f\r\n      score_min = score;\r\n      beta\u00a0= min(beta,score_min); \u03b2\u5024\u3092\u66f4\u65b0\r\n    }\r\n  }\r\n  return score_min;\r\n}<\/pre>\n<p>alpha\u3068beta\u3092\u95a2\u6570\u306e\u5f15\u6570\u3068\u3057\u3066\u53d7\u3051\u53d6\u308a\u3001\u03b1\u5208\u308a\u3068\u03b2\u5208\u308a\u3092\u884c\u3063\u3066\u304a\u308a\u307e\u3059\u3002<\/p>\n<p>\u3068\u3044\u3046\u308f\u3051\u3067\u63a2\u7d22\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u300c<strong>Minimax\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0<\/strong>\u300d\u3068\u300c<strong>alpha-beta\u6cd5<\/strong>\u300d\u3067\u3057\u305f\u3002<\/p>\n<p>\u305d\u306e\u307b\u304b\u306b\u3082\u3001negamax\u6cd5\u3084\u3001NegaScout\u6cd5\u306a\u3069\u306a\u3069\u306e\u63a2\u7d22\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u304c\u5b58\u5728\u3057\u307e\u3059\u3002<\/p>\n<p>\u3044\u3064\u306e\u65e5\u304b\u306e\u6a5f\u4f1a\u306b\u3068\u3002<\/p>\n<p>\u3067\u306f\u3067\u306f\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u3069\u3082\u3067\u3059\u3002 \u4f55\u304b\u3068\u76db\u308a\u4e0a\u304c\u3063\u3066\u3044\u308bAI\u3067\u3059\u304c\u3001\u4eca\u56de\u306fAI\u306e\u521d\u6b69\u7684\u306a\u3068\u3053\u308d\u3067\u3082\u3042\u308b\u63a2\u7d22\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3067\u3042\u308b\u300cMinimax\uff08\u30df\u30cb\u30de\u30c3\u30af\u30b9\uff09\u300d\u3068\u300c\u03b1\u03b2\uff08\u30a2\u30eb\u30d5\u30a1\u30d9\u30fc\u30bf\uff09\u6cd5\u300d\u306b\u3064\u3044\u3066\u66f8\u3044\u3066\u3044\u304d\u307e\u3059\u3002 \u5b8c\u5168\u60c5\u5831\u96f6\u548c\u30b2\u30fc\u30e0 \u52ff\u8ad6\u3001\u63a2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[195],"tags":[177,47,179,46,95,39,178,138,78,114,118],"class_list":["post-6997","post","type-post","status-publish","format-standard","hentry","category-aibotalgorithm","tag-css3","tag-javascript-2","tag-jquery","tag-js","tag-95","tag-39","tag-178","tag-138","tag-78","tag-114","tag-118"],"_links":{"self":[{"href":"https:\/\/www.webcyou.com\/index.php?rest_route=\/wp\/v2\/posts\/6997","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.webcyou.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.webcyou.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.webcyou.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.webcyou.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6997"}],"version-history":[{"count":9,"href":"https:\/\/www.webcyou.com\/index.php?rest_route=\/wp\/v2\/posts\/6997\/revisions"}],"predecessor-version":[{"id":10171,"href":"https:\/\/www.webcyou.com\/index.php?rest_route=\/wp\/v2\/posts\/6997\/revisions\/10171"}],"wp:attachment":[{"href":"https:\/\/www.webcyou.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6997"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.webcyou.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6997"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.webcyou.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}