{"id":222,"date":"2018-10-24T21:28:00","date_gmt":"2018-10-24T13:28:00","guid":{"rendered":"http:\/\/SmokeyDays.top\/wordpress\/?p=222"},"modified":"2018-10-28T23:07:25","modified_gmt":"2018-10-28T15:07:25","slug":"lp1290-%e6%ac%a7%e5%87%a0%e9%87%8c%e5%be%b7%e7%9a%84%e6%b8%b8%e6%88%8f","status":"publish","type":"post","link":"http:\/\/SmokeyDays.top\/wordpress\/2018\/10\/24\/lp1290-%e6%ac%a7%e5%87%a0%e9%87%8c%e5%be%b7%e7%9a%84%e6%b8%b8%e6%88%8f\/","title":{"rendered":"lp1290 \u6b27\u51e0\u91cc\u5fb7\u7684\u6e38\u620f"},"content":{"rendered":"<p>\u8fd9\u662f\u4e00\u9053\u57fa\u7840\u7684\u590d\u6742\u535a\u5f08\u8bba\u9898\u2014\u2014\u6211\u5230\u73b0\u5728\u90fd\u4e0d\u662f\u5f88\u80fd\u7406\u89e3\u3002<br \/>\n\u5176\u5b9e\u6211\u4e5f\u4e0d\u592a\u61c2SG\u51fd\u6570\uff0c\u6211\u5c31\u53e3chao\u80e1xi\u4e00\u4e0b\u8fd9\u9898\u7684\u505a\u6cd5\u5427\u3002<br \/>\n\u5bf9\u4e8e\\(x,y st: x&lt;y\\)\uff0c\u6211\u4eec\u5b9a\u4e49\u5bf9\u4e8ex,y\u7684SG\u51fd\u6570SG(S)\uff0c\u5176\u4e2dS\u662f\u4e00\u4e2a\u5c40\u9762\u3002 \u6211\u4eec\u5b9a\u4e49\u5173\u4e8e\u4e00\u4e2a\u5c40\u9762S\u7684\u540e\u7ee7S&#8217;\uff0c\u4f7f\u5f97S&#8217;\u53ef\u4ee5\u4eceS\u8f6c\u79fb\u5f97\u5230\u3002 \u6240\u4ee5\u6211\u4eec\u5b9a\u4e49\u4e00\u4e2a\u96c6\u5408T\uff0c\u5305\u542b\u4e86\u5c40\u9762S\u7684\u6240\u6709\u540e\u7ee7\u7684SG\u503c\u3002 \u5bf9\u4e8e\u5fc5\u8d25\u5c40\u9762\uff0c\u6211\u4eec\u4ee4\u5b83\u7684SG\u503c\u4e3a0\uff0c\u5426\u5219\u4e3a1\u3002 \u5219\\(SG(S)=mex(T)\\)\uff0c\u5176\u4e2dmex\u8868\u793a\u6700\u5c0f\u7684\u4e0d\u5728\u96c6\u5408\u4e2d\u7684\u975e\u8d1f\u6574\u6570\u3002 \u6240\u4ee5\uff0c $$SG(x,y)=mex(SG(x,y-x),SG(x,y-2*x),$$<\/p>\n<p>$$SG(x,y-3*x)&#8230;SG(x,y%x))$$ \u6211\u4eec\u53c8\u77e5\u9053\uff0c\u5bf9\u4e8e\u5176\u4e2d\u7684\u6bcf\u4e00\u4e2aSG\u51fd\u6570\uff0c\u9012\u63a8\u5f0f\u90fd\u662f\u6210\u7acb\u7684\u3002 \u6240\u4ee5\u4e8b\u5b9e\u4e0a\uff0c\u5f53\\(x\/y&gt;1\u65f6\uff0cSG(x,y)=1\\)\uff0c\u8fd9\u662f\u56e0\u4e3a\u5f53\\(x\/y==1\\)\u59cb\u7ec8\u662f\u7b49\u4e8e\\(!(SG(y%x,x))\\)<br \/>\n\u6240\u4ee5\u4e8b\u5b9e\u4e0a\\(SG(x,y)\\)\u53ea\u53d6\u51b3\u4e8e\\(SG(x,y%x)\\)\u7684\u503c\u3002<\/p>\n<pre class=\"pure-highlightjs\"><code class=\"cpp\">#include&lt;iostream&gt;\r\n#include&lt;cstdio&gt;\r\nusing namespace std;\r\n#define Max(_A,_B) ((_A)&gt;(_B)?(_A):(_B))\r\n#define Min(_A,_B) ((_A)&lt;(_B)?(_A):(_B))\r\nint a,b;\r\n\r\ninline bool SG(int x,int y){\r\n    if(!x){\r\n        return 0;\r\n    }\r\n    if(y\/x==1){\r\n        return !SG(y%x,x);\r\n    }else{\r\n        return 1;\r\n    }\r\n}\r\nvoid init(){\r\n    scanf(\"%d%d\",&amp;a,&amp;b);\r\n    bool bo=SG(Min(a,b),Max(a,b));\r\n    if(bo){\r\n        puts(\"Stan wins\");\r\n    }else{\r\n        puts(\"Ollie wins\");\r\n    }\r\n}\r\nint main(){\r\n    int T;\r\n    scanf(\"%d\",&amp;T);\r\n    while(T--){\r\n        init();\r\n    }\r\n    return 0;\r\n}<\/code><\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u662f\u4e00\u9053\u57fa\u7840\u7684\u590d\u6742\u535a\u5f08\u8bba\u9898\u2014\u2014\u6211\u5230\u73b0\u5728\u90fd\u4e0d\u662f\u5f88\u80fd\u7406\u89e3\u3002 \u5176\u5b9e\u6211\u4e5f\u4e0d\u592a\u61c2SG\u51fd\u6570\uff0c\u6211\u5c31\u53e3chao\u80e1xi\u4e00\u4e0b\u8fd9\u9898\u7684 &hellip; <\/p>\n<p class=\"link-more\"><a href=\"http:\/\/SmokeyDays.top\/wordpress\/2018\/10\/24\/lp1290-%e6%ac%a7%e5%87%a0%e9%87%8c%e5%be%b7%e7%9a%84%e6%b8%b8%e6%88%8f\/\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201clp1290 \u6b27\u51e0\u91cc\u5fb7\u7684\u6e38\u620f\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":262,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[26,24,8,6,5],"tags":[],"_links":{"self":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/222"}],"collection":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/comments?post=222"}],"version-history":[{"count":4,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/222\/revisions"}],"predecessor-version":[{"id":226,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/posts\/222\/revisions\/226"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/media\/262"}],"wp:attachment":[{"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/media?parent=222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/categories?post=222"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/SmokeyDays.top\/wordpress\/wp-json\/wp\/v2\/tags?post=222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}