{"id":16468,"date":"2026-03-20T05:12:26","date_gmt":"2026-03-19T21:12:26","guid":{"rendered":"https:\/\/yiqihuijia.com.cn\/index.php\/2026\/03\/20\/%e8%a7%a3%e5%af%86%ef%bc%81%e6%89%91%e5%85%8b%e7%95%8c%e7%9a%84alphago%ef%bc%9a%e5%87%bb%e8%b4%a5%e9%a1%b6%e7%ba%a7%e6%89%91%e5%85%8b%e9%ab%98%e6%89%8b%e7%9a%84ai%e8%b5%8c%e7%a5%9elibratus\/"},"modified":"2026-03-20T05:12:26","modified_gmt":"2026-03-19T21:12:26","slug":"%e8%a7%a3%e5%af%86%ef%bc%81%e6%89%91%e5%85%8b%e7%95%8c%e7%9a%84alphago%ef%bc%9a%e5%87%bb%e8%b4%a5%e9%a1%b6%e7%ba%a7%e6%89%91%e5%85%8b%e9%ab%98%e6%89%8b%e7%9a%84ai%e8%b5%8c%e7%a5%9elibratus","status":"publish","type":"post","link":"https:\/\/qqovblr.com\/index.php\/2026\/03\/20\/%e8%a7%a3%e5%af%86%ef%bc%81%e6%89%91%e5%85%8b%e7%95%8c%e7%9a%84alphago%ef%bc%9a%e5%87%bb%e8%b4%a5%e9%a1%b6%e7%ba%a7%e6%89%91%e5%85%8b%e9%ab%98%e6%89%8b%e7%9a%84ai%e8%b5%8c%e7%a5%9elibratus\/","title":{"rendered":"\u89e3\u5bc6\uff01\u6251\u514b\u754c\u7684AlphaGo\uff1a\u51fb\u8d25\u9876\u7ea7\u6251\u514b\u9ad8\u624b\u7684AI\u8d4c\u795eLibratus"},"content":{"rendered":"<p>\u5fb7\u5dde\u6251\u514b\u662f\u4ec0\u4e48<\/p>\n<p>\u88ab\u79f0\u4f5c\u5fb7\u5dde\u6251\u514b\uff0c\u4e5f\u5c31\u662f\u5168\u79f0Texas Hold\u2019em poker\u7684\u5fb7\u514b\u8428\u65af\u6251\u514b\uff0c\u5b83\u5c5e\u4e8e\u73a9\u5bb6\u5bf9\u73a9\u5bb6\u7684\u516c\u5171\u724c\u7c7b\u6e38\u620f\uff0c\u4e00\u5f20\u53f0\u9762\u6700\u5c11\u5f97\u67092\u4eba\uff0c\u6700\u591a22\u4eba\uff0c\u901a\u5e38\u662f2\u523010\u4eba\u53c2\u4e0e\uff0c\u4ee5\u4e0a\u8fd9\u756a\u8be6\u5c3d\u8868\u8ff0\u7686\u4e3a\u5176\u89c4\u5219\u8303\u7574\u3002<\/p>\n<p>\u5fb7\u5dde\u6251\u514b\u6e38\u620f\u6240\u4f7f\u7528\u7684\u662f\u53bb\u6389\u5927\u5c0f\u738b\u768452\u5f20\u6251\u514b\u724c\uff0c\u5176\u95f4\uff0c\u4f1a\u7ed9\u6bcf\u4e2a\u73a9\u5bb6\u53d1\u653e2\u5f20\u5e95\u724c\uff0c\u4e14\u8fd92\u5f20\u5e95\u724c\u662f\u724c\u9762\u671d\u4e0b\u7684\uff0c\u4e4b\u540e\uff0c\u4f1a\u9646\u7eed\u53d1\u51fa5\u5f20\u724c\u9762\u671d\u4e0a\u7684\u516c\u5171\u724c\uff0c\u5176\u4e2d\uff0c\u5148\u662f\u4e00\u8d77\u53d1\u51fa\u524d\u4e09\u5f20\uff0c\u7136\u540e\u7b2c\u56db\u5f20\u548c\u7b2c\u4e94\u5f20\u662f\u5355\u72ec\u53d1\u51fa\u6765\u7684\uff0c\u6bcf\u4e2a\u73a9\u5bb6\u8981\u4ece\u81ea\u8eab\u76842\u5f20\u5e95\u724c\u4ee5\u53ca\u90a35\u5f20\u516c\u5171\u724c\uff0c\u4e5f\u5c31\u662f\u603b\u51717\u5f20\u724c\u91cc\uff0c\u6311\u9009\u51fa\u724c\u578b\u6700\u5927\u76845\u5f20\u53bb\u8ddf\u5176\u4ed6\u73a9\u5bb6\u5c55\u5f00\u6bd4\u62fc\uff0c\u724c\u578b\u5927\u7684\u4e00\u65b9\u5c31\u80fd\u83b7\u80dc\u3002<\/p>\n<p>\u5728\u53d1\u653e\u5e95\u724c\u7684\u8f6e\u6b21\uff0c\u73a9\u5bb6\u80fd\u591f\u9009\u62e9\u4e0b\u6ce8\u8fd9\u79cd\u64cd\u4f5c\uff0c\u6216\u8005\u9009\u62e9\u52a0\u6ce8\u8fd9\u79cd\u64cd\u4f5c\uff0c\u901a\u8fc7\u8fd9\u4e9b\u6765\u8feb\u4f7f\u5176\u4ed6\u73a9\u5bb6\u653e\u5f03\u724c\u5c40\u4ece\u800c\u83b7\u80dc\uff0c\u6216\u8005\u73a9\u5bb6\u53ef\u4ee5\u9009\u62e9\u8fc7\u724c\u8fd9\u79cd\u64cd\u4f5c\uff0c\u4e5f\u53ef\u4ee5\u9009\u62e9\u5f03\u724c\u8fd9\u79cd\u64cd\u4f5c\uff0c\u4f9d\u9760\u9009\u62e9\u8fd9\u4e9b\u6765\u964d\u4f4e\u81ea\u5df1\u7684\u635f\u5931\uff0c\u6216\u8005\u8fdb\u800c\u8fdb\u5165\u4e0b\u4e00\u53d1\u724c\u8f6e\u6b21\u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773954740263_0.jpg' alt='\u5fb7\u5dde\u6251\u514b\u89c4\u5219_\u5fb7\u5dde\u6251\u514b\u6e38\u620f\u5165\u95e8_Libratus\u4eba\u5de5\u667a\u80fd\u5bf9\u6218\u4eba\u7c7b' \/><\/p>\n<p><a href='\/index.php\/2026\/03\/18\/%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e5%9c%a8%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e6%af%94%e8%b5%9b%e4%b8%ad%e6%88%98%e8%83%9c%e4%ba%ba%e7%b1%bb%e7%8e%a9%e5%ae%b6-2\/' title='Libratus' target='_blank'>Libratus<\/a>\u7684\u8f89\u714c\u6218\u7ee9<\/p>\n<p>2017\u5e741\u670830\u65e5\uff0cLibratus\u548c4\u540d\u9876\u5c16\u7684\u65e0\u9650\u6ce8\u5fb7\u5dde\u6251\u514b\u804c\u4e1a\u73a9\u5bb6\uff0cJason Les\u3001Dong Kim\u3001Daniel McAulay\u4ee5\u53caJimmy Chou\uff0c\u5c55\u5f00\u4e86\u6574\u657420\u5929\u7684\u5355\u6311\u6bd4\u8d5b\u3002\u5728\u6574\u4e2a\u6bd4\u8d5b\u671f\u95f4\uff0cLibratus\u548c\u8fd9\u4e9b\u804c\u4e1a\u9009\u624b\u7d2f\u8ba1\u5bf9\u6218\u8fbe12\u4e07\u624b\u3002\u6700\u7ec8\u7684\u7ed3\u679c\u662fLibratus\u5168\u9762\u83b7\u80dc\u3002\u5728\u6bd4\u8d5b\u8fc7\u7a0b\u4e2d\uff0c\u4eba\u7c7b\u724c\u624b\u6574\u4f53\u4e0a\u4ece\u6765\u90fd\u6ca1\u6709\u9886\u5148\u8fc7\u3002<\/p>\n<p>4\u67086\u65e5\u81f310\u65e5\u671f\u95f4\uff0cLibratus\u4e8e\u4e09\u4e9a\u518d\u5ea6\u540c\u4e2d\u56fd\u9f99\u4e4b\u961f\u5f00\u5c55\u4e86\u4e00\u573a\u8868\u6f14\u8d5b\uff0c\u961f\u4e2d\u804c\u4e1a\u9ad8\u624b\u4e0e\u4eba\u5de5\u667a\u80fd\u4e13\u5bb6\u4f17\u591a\uff0c\u6bd4\u8d5b\u91cc\u4e5f\u636e\u6b64\u7ed9\u4e88\u4e86\u7b56\u7565\u7684\u8c03\u6574\uff0c\u7136\u800c\u7ed3\u679c\u6beb\u65e0\u610f\u5916\uff0cLibratus\u518d\u5ea6\u65a9\u83b7\u80dc\u5229\uff0c\u5e76\u4e14\u5e73\u5747\u6bcf\u767e\u624b\u724c\u80fd\u591f\u51c0\u8d6222\u4e2a\u5927\u76f2\u6ce8\uff0c\u6beb\u65e0\u7591\u95ee\uff0c\u4e8e\u65e0\u9650\u6ce8\u5fb7\u5dde\u6251\u514b\u7684\u5355\u6311\u8303\u7574\u5185\uff0c\u5728\u5177\u5907\u8db3\u91cf\u624b\u6570\u7684\u8d5b\u4e8b\u4e4b\u4e2d\uff0c\u4eba\u7c7b\u6839\u672c\u4e0d\u5b58\u5728\u6218\u80dcLibratus\u7684\u53ef\u80fd\u6027\u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773954740263_1.jpg' alt='\u5fb7\u5dde\u6251\u514b\u6e38\u620f\u5165\u95e8_Libratus\u4eba\u5de5\u667a\u80fd\u5bf9\u6218\u4eba\u7c7b_\u5fb7\u5dde\u6251\u514b\u89c4\u5219' \/><\/p>\n<p>Libratus\u7684\u6280\u672f\u6784\u6210<\/p>\n<p>\u6a21\u5757\u4e00\uff1aBefore competition, approximation of Nash equilibrium\uff08\u8d5b\u524d\uff0c\u7eb3\u4ec0\u5747\u8861\u7684\u8fd1\u4f3c\uff09\u3002<\/p>\n<p>\u8fd9\u4e2a\u6a21\u5757\u4f1a\u5c06\u6700\u4e3a\u5173\u952e\u7684\u535a\u5f08\u4fe1\u606f\u4e88\u4ee5\u62bd\u53d6\uff0c\u50cf\u662f\u9488\u5bf9\u67d0\u4e00\u624b\u724c\u6240\u5bf9\u5e94\u7684\u6218\u7565\uff0c\u63a5\u7740\u8fd0\u7528<a href='\/index.php\/2026\/02\/14\/%e6%b5%85%e8%b0%88%e4%ba%ba%e5%b7%a5%e6%99%ba%e8%83%bd%e5%9c%a8%e5%be%b7%e5%b7%9e%e6%89%91%e5%85%8b%e9%87%8c%e7%9a%84%e5%ba%94%e7%94%a8\/' title='\u5f3a\u5316\u5b66\u4e60' target='_blank'>\u5f3a\u5316\u5b66\u4e60<\/a>\u7b49\u65b9\u5f0f\uff0c\u6301\u7eed\u63a2\u5bfb\u63d0\u5347\u4e0e\u6539\u8fdb\uff0c\u8fd9\u91cc\u8fd0\u7528\u4e86\u4e00\u79cd\u5168\u65b0\u7684\u7b97\u6cd5\uff0c\u8499\u7279\u5361\u6d1b\u53cd\u4e8b\u5b9e\u9057\u61be\u6700\u5c0f\u5316\uff0c\u5728\u8fd9\u4e2a\u6a21\u578b\u7684\u52a9\u529b\u4e4b\u4e0b\uff0cLibratus\u81ea\u884c\u5b66\u4f1a\u4e86<a href='\/index.php\/2026\/03\/19\/ai%e4%b8%93%e5%ae%b6%e6%9f%8f%e6%9e%97%e6%a3%ae%e8%a7%a3%e6%9e%90%e5%be%b7%e6%89%91%e4%ba%ba%e6%9c%ba%e5%a4%a7%e6%88%98%e4%ba%ba%e7%b1%bb%e4%bb%8d%e6%9c%89%e8%b5%a2%e9%9d%a2%e7%9a%84%e5%8e%9f%e5%9b%a0\/' title='\u5fb7\u6251' target='_blank'>\u5fb7\u6251<\/a>\uff0c\u5e76\u4e14\u6bd4\u4ee5\u5f80\u901f\u5ea6\u66f4\u5feb\u3002<\/p>\n<p>\u6a21\u5757\u4e8c\uff1aEndgame solving\uff08\u6b8b\u5c40\u89e3\u7b97\uff09<\/p>\n<p>\u8fd9\u5c5e\u4e8eLibratus\u6700\u4e3a\u5173\u952e\u7684\u90e8\u5206\uff0c\u6b64\u8fc7\u7a0b\u6301\u7eed\u5f00\u5c55\uff0c\u5728\u5bf9\u624b\u4f7f\u51fa\u65b0\u7684\u4e00\u62db\u8fc7\u540e\uff0c\u4fbf\u4f1a\u63a5\u7740\u8fdb\u884c\u65b0\u7684\u6b8b\u5c40\u89e3\u7b97\u3002<\/p>\n<p>\u5fb7\u5dde\u6251\u514b\u8fd9\u7c7b\u5c5e\u4e8e\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u7684\u535a\u5f08\uff0c\u662f\u4e0d\u80fd\u591f\u88ab\u62c6\u89e3\u6210\u80fd\u591f\u72ec\u7acb\u53bb\u89e3\u51b3\u7684\u5b50\u535a\u5f08\u7684\uff0c\u6240\u4ee5\u201c\u51b7\u6251\u5927\u5e08\u201d\u91c7\u7528\u6b8b\u5c40\u89e3\u7b97\u7684\u65b9\u5f0f\u6765\u5e94\u5bf9\u3002<\/p>\n<p>\u6a21\u5757\u4e09\uff0c\u662f\u5173\u4e8e\u6301\u7eed\u81ea\u6211\u5f3a\u5316\u7684\uff0c\u4e5f\u5c31\u662fContinual self-improvement\u3002<\/p>\n<p>\u6bd4\u8d5b\u671f\u95f4\uff0c\u4eba\u7c7b\u7684\u9ad8\u624b\u4f1a\u5bfb\u89c5Libratus\u51fa\u73b0\u7684\u7834\u7efd\uff0c\u8fdb\u800c\u5f00\u5c55\u5177\u6709\u5bf9\u5e94\u6027\u7684\u8fdb\u653b\u3002\u6b64\u6a21\u5757\u6240\u62e5\u6709\u7684\u4f5c\u7528\u662f\u627e\u51fa\u95ee\u9898\u7684\u6240\u5728\u4e4b\u5904\uff0c\u63a2\u5bfb\u66f4\u591a\u7684\u7ec6\u8282\u65b9\u9762\u7528\u4e8e\u81ea\u6211\u5f3a\u5316\u8d77\u6765\uff0c\u4e4b\u540e\u83b7\u53d6\u5230\u4e00\u4e2a\u66f4\u4e3a\u4f18\u826f\u7684\u7eb3\u4ec0\u5747\u8861\u3002<\/p>\n<p>AlphaGo\u4e0eLibratus<\/p>\n<p>AlphaZero\u4e3b\u8981\u9488\u5bf9\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\uff0c\u50cf\u56f4\u68cb\u3001\u8c61\u68cb\u4ee5\u53ca\u5c06\u68cb\u8fd9\u7c7b\uff0c\u53efLibratus\u7528\u4e8e\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\uff0c\u8fd9\u662f\u6781\u4e3a\u91cd\u8981\u7684\u533a\u522b\u3002\u5728\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u91cc\uff0c\u73a9\u5bb6\u80fd\u591f\u62e5\u6709\u79c1\u4eba\u4fe1\u606f\uff0c\u6bd4\u5982\u8c08\u5224\u504f\u597d\u3001\u6251\u514b\u724c\u3001\u62cd\u5356\u4e2d\u7684\u4f30\u4ef7\uff0c\u8fd8\u6709\u73a9\u5bb6\u5728\u7f51\u7edc\u5b89\u5168\u4e2d\u53d1\u73b0\u7684\u96f6\u65f6\u5dee\u6f0f\u6d1e\u7b49\u60c5\u51b5\u3002\u5927\u591a\u6570\u73b0\u5b9e\u4e16\u754c\u7684\u4ea4\u4e92\u5c5e\u4e8e\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u7684\u535a\u5f08\u3002<\/p>\n<p>\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u6e38\u620f\u89c4\u6a21\u800c\u8a00\uff0c\u4e0d\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u66f4\u52a0\u96be\u4ee5\u89e3\u51b3\uff0c\u539f\u56e0\u5728\u4e8e\u5176\u6a21\u578b\u5f97\u5728\u5b50\u535a\u5f08\u4e4b\u95f4\u5e73\u8861\u7b56\u7565\uff0c\u5c31\u50cf\u5728\u6251\u514b\u91cc\uff0c\u4e0d\u80fd\u603b\u662f\u4e00\u770b\u5230\u597d\u624b\u4fbf\u4e0b\u6ce8\uff0c\u4e00\u770b\u5230\u574f\u624b\u5c31\u5f03\u724c\uff0c\u76f8\u6bd4\u4e4b\u4e0b\uff0c\u5728\u5b8c\u7f8e\u4fe1\u606f\u535a\u5f08\u5f53\u4e2d\uff0c\u4e00\u4e2a\u5b50\u535a\u5f08\u4ec5\u80fd\u4ece\u8be5\u5b50\u535a\u5f08\u83b7\u53d6\u4fe1\u606f\uff0c\u65e0\u9700\u548c\u5176\u4ed6\u5b50\u535a\u5f08\u4f5c\u5e73\u8861\u3002<\/p>\n<p>Libratus\u548cAlphaGo\u91c7\u7528\u5f3a\u5316\u5b66\u4e60\u65b9\u5f0f\u5f00\u53d1\uff0c\u5c3d\u7ba1\u5b83\u4eec\u5c5e\u4e8e\u4e0d\u540c\u535a\u5f08\u7c7b\u578b\uff0c\u6700\u65b0\u7248\u7684\u8fd9\u7c7b\u4e24\u8005\u90fd\u80fd\u5f7b\u5e95\u629b\u5f03\u4eba\u7c7b\u7ecf\u9a8c\uff0c\u4ece\u65e0\u5f00\u59cb\u5b66\u4e60\u5e76\u8fdb\u800c\u6218\u80dc\u4eba\u7c7b\u3002<\/p>\n<p><img src='\/wp-content\/uploads\/2026\/03\/1773954740263_2.jpg' alt='\u5fb7\u5dde\u6251\u514b\u6e38\u620f\u5165\u95e8_\u5fb7\u5dde\u6251\u514b\u89c4\u5219_Libratus\u4eba\u5de5\u667a\u80fd\u5bf9\u6218\u4eba\u7c7b' \/><\/p>\n<p>\u5c3d\u7ba1Libratus\u5728\u540c\u4eba\u7c7b\u7684\u5bf9\u6297\u91cc\u83b7\u53d6\u4e86\u6781\u5927\u7684\u80dc\u5229\u5fb7\u4fe1\u7ade\u6280\uff0c\u7136\u800chands-up\uff08\u65e0\u9650\u6ce8\u5fb7\u5dde\u6251\u514b1v1\u5355\u6311\uff09\u4ec5\u4ec5\u662f\u4e00\u79cd\u7279\u522b\u7684\u5fb7\u5dde\u6251\u514b\u6e38\u620f\u6a21\u5f0f\uff0c\u4ee5\u7eb3\u4ec0\u5747\u8861\u4f5c\u4e3a\u7b56\u7565\u5185\u6838\u7684Libratus\u5c1a\u4e0d\u5177\u5907\u5728\u591a\u4eba\u6e38\u620f\u91cc\u7684\u5236\u9738\u80fd\u529b\u3002<\/p>\n<p>\u5728\u591a\u4eba\u53c2\u4e0e\u7684\u6e38\u620f\u91cc\u5934\uff0cLibratus\u867d\u8bf4\u80fd\u591f\u786e\u4fdd\u81ea\u8eab\u4e0d\u5904\u4e8e\u6700\u5f8c\u7684\u4f4d\u7f6e\uff0c\u7136\u800c\u5374\u6ca1\u529e\u6cd5\u786e\u4fdd\u7a33\u5b9a\u5730\u83b7\u53d6\u76c8\u5229\u3002\u8981\u7814\u7a76\u51fa\u80fd\u591f\u6218\u80dcMTT\uff08\u591a\u684c\u9526\u6807\u8d5b\uff09\u7684\u4eba\u5de5\u667a\u80fd\uff0c\u4ecd\u7136\u5b58\u5728\u8bf8\u591a\u56f0\u96be\u6709\u5f85\u53bb\u653b\u514b\u3002\u53ef\u662f\u7eb3\u4ec0\u5747\u8861\u7684\u90a3\u79cd\u601d\u7ef4\u6a21\u5f0f\uff0c\u53bb\u5b66\u4f1a\u5e73\u8861\u81ea\u8eab\u7684\u8303\u56f4\uff0c\u5bf9\u4e8e\u73a9\u5fb7\u5dde\u6251\u514b\u7684\u73a9\u5bb6\u6765\u8bb2\uff0c\u4f9d\u65e7\u6709\u7740\u5f88\u5f3a\u7684\u6307\u5bfc\u4ef7\u503c\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>AlphaGo\u9000\u4f11\u4e86\uff0c\u6211\u4eec\u8fd8\u6709\u8d4c\u795eLibratus\u3002<\/p>\n","protected":false},"author":1,"featured_media":16469,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[225,1351,840,668,806],"class_list":["post-16468","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pkxw","tag-ai","tag-libratus","tag-840","tag-668","tag-806"],"_links":{"self":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/posts\/16468","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/comments?post=16468"}],"version-history":[{"count":0,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/posts\/16468\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/media\/16469"}],"wp:attachment":[{"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/media?parent=16468"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/categories?post=16468"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qqovblr.com\/index.php\/wp-json\/wp\/v2\/tags?post=16468"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}