{"id":140,"date":"2017-03-25T13:36:45","date_gmt":"2017-03-25T13:36:45","guid":{"rendered":"http:\/\/www.luo666.com\/?p=140"},"modified":"2019-01-19T04:43:16","modified_gmt":"2019-01-19T04:43:16","slug":"topcoder-xscoregame","status":"publish","type":"post","link":"http:\/\/www.luo666.com\/?p=140","title":{"rendered":"topcoder: Xscoregame"},"content":{"rendered":"<p>\u8fd9\u4e00\u9898\u7528\u9012\u5f52\u5f88\u7b80\u5355\uff0c\u76f4\u63a5\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u6240\u6709\u6392\u5e8f\uff0c\u53d6\u6700\u5927\u503c\u5373\u53ef\uff0c\u4f46\u662f\u5b8c\u5168\u6ca1\u6709DP\u7684\u601d\u60f3\u800c\u4e14\u6c42\u89e3\u65f6\u95f4\u4e0d\u53ef\u63a5\u53d7\uff1b\u4f46\u662f\u5982\u679c\u8981DP\uff0c\u5982\u4f55\u51cf\u5c11\u72b6\u6001\u6570\uff1f\u8981\u77e5\u9053\u672c\u9898\u7684\u8f93\u5165\u6570\u5217\u6392\u5e8f\u662f\u5f71\u54cd\u6700\u7ec8\u7ed3\u679c\u7684\u3002<\/p>\n<p>\u4e0b\u9762\u7684\u89e3\u6cd5\u662fDP\u7684\uff0c\u8fd9\u4e2aDP\u7684\u5999\u5904\u5728\u4e8e\u4ecd\u7136\u7528\u8f93\u5165\u6570\u5217A\u7684\u5b50\u6570\u5217\u7ec4\u5408As\u4f5c\u4e3a\u72b6\u6001\uff0c\u4f46\u662f\u8fd9\u4e2a\u72b6\u6001\u4e0b\u9762\u4ecd\u7136\u5206\u4e00\u4e9b\u5b50\u72b6\u6001\uff0c\u4e0d\u8fc7\u4e0d\u662f\u7528\u8fd9\u4e2a\u5b50\u6570\u7ec4\u7684\u6240\u6709\u6392\u5e8f\u4f5c\u4e3a\u5b50\u72b6\u6001\u800c\u662f\u7528\u4e00\u79cdhash\u7684\u65b9\u5f0f\uff0c\u5373\u5c06\u8be5\u5b50\u6570\u7ec4\u7684\u53ef\u80fd\u7ed3\u679c\uff08\u5b50\u6570\u7ec4\u6bcf\u4e00\u79cd\u6392\u5e8f\u6309\u9898\u76ee\u7b97\u6cd5\u6240\u6c42\u5f97\u7684\u72b6\u6001\u503cR=x+x^As[i]\uff09\u5bf964\uff082\u76846\u6b21\u65b9\uff09\u6c42\u4f59\u6240\u5f97\u4f5c\u4e3a\u5b50\u72b6\u6001\u7684index\u3002<\/p>\n<p>\u4e3a\u4ec0\u4e48\u53ef\u4ee5\u8fd9\u4e48\u505a\uff1f\u56e0\u4e3a\u9898\u76ee\u4e2d\u6570\u7ec4A\u6700\u5927\u7684\u6570\u4e3a50\uff086bit,\u53ef\u8986\u76d6\uff09\uff0c\u6240\u4ee5\u5728\u4e00\u4e2a\u72b6\u6001\u8f6c\u79fb\u5230\u4e0b\u4e00\u72b6\u6001\u65f6\uff0c\u5373\u67d0\u4e2a\u5b50\u6570\u7ec4\u65b0\u52a0\u5165\u4e00\u4e2a\u5143\u7d20\u7684\u65f6\u5019\uff0c\u5176\u5b9e\u53ea\u9700\u8981\u8003\u8651\u72b6\u6001\u503cR\u7684\u4f4e6\u4f4d\u4e0d\u540c\u7684\u60c5\u51b5\u5373\u53ef\uff0c\u56e0\u4e3a\u53ea\u6709\u4f4e6\u4f4d\u6709\u540e\u6548\u6027\uff0c\u53ea\u6709\u4f4e6\u4f4d\u76f8\u540c\u7684\u6240\u6709\u6392\u5e8f\u53ea\u9700\u53d6\u6700\u5927\u72b6\u6001\u503c\uff08\u8fd9\u91cc\u4e0d\u7528\u6c42\u5177\u4f53\u6392\u5e8f\uff0c\u4e3b\u8981\u6c42\u6700\u5927\u503c\uff09\uff0c\u5176\u4ed6\u90fd\u4e0d\u7528\u8003\u8651\u4e86\uff0c\u800c\u4e0d\u540c\u7684\u4f4e6\u4f4d\u503c\u53ef\u80fd\u5e26\u6765\u4e0d\u540c\u7684\u6709\u6548\u5b50\u72b6\u6001\u3002\u8bf4\u767d\u4e86\uff0c\u5c31\u662f\u5f53\u524d\u4f4e6\u4f4d\u4e0d\u4e00\u6837\u7684\uff0c\u73b0\u5728\u4e0d\u80fd\u5224\u5b9a\u4ee5\u540e\u8c01\u4f18\u8c01\u52a3\uff0c\u800c\u5f53\u524d\u4f4e6\u4f4d\u76f8\u540c\u7684\uff0c\u5df2\u7ecf\u53ef\u4ee5\u6beb\u65e0\u987e\u5fcc\u7684\u8fdb\u884c\u4f18\u80dc\u52a3\u6c70\u4e86\u3002\u8fd9\u6837\u4e00\u6765\u5c31\u5927\u5927\u51cf\u5c11\u4e86\u9700\u8981\u8003\u8651\u7684\u5206\u652f\uff0c\u4e8e\u662f\u6c42\u89e3\u6548\u7387\u5c31\u5448\u51e0\u4f55\u7ea7\u6570\u5730\u63d0\u9ad8\u4e86\u3002<\/p>\n<pre class=\"lang:default decode:true\">class Xscoregame:\n    def getscore(self, a):\n        s = {(0,0):0}\n        n = len(a)\n\n        ln = 1&lt;&lt;n\n        for i in range(0, ln):\n            for j in range(0, 64):\n                if s.get((i,j), -1) &lt; 0:\n                    continue\n                for idx,k in enumerate(a):\n                    e = 1 &lt;&lt; idx\n                    if e &amp; i &gt; 0:\n                        continue\n                    t = s[(i,j)]\n                    t += t ^ k\n                    ni = i|e\n                    nj = t%64\n                    s[(ni, nj)] = max(s.get((ni, nj),-1), t)\n\n        ret = 0\n        nn = ln - 1\n        for j in range(0, 64):\n            ret = max(ret, s.get((nn,j),-1))\n\n        return ret\n\nif __name__ == \"__main__\":\n    print Xscoregame().getscore([1,2,3])\n    print Xscoregame().getscore([10,0,0,0])\n    print Xscoregame().getscore([1,1,1,1,1,1])\n    print Xscoregame().getscore([1,0,1,0,1,0,1,0])\n    print Xscoregame().getscore([50,0,1,0,1,0,1,0,1,0,1,0,1,0,1])\n<\/pre>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u8fd9\u4e00\u9898\u7528\u9012\u5f52\u5f88\u7b80\u5355\uff0c\u76f4\u63a5\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u6240\u6709\u6392\u5e8f\uff0c\u53d6\u6700\u5927\u503c\u5373\u53ef\uff0c\u4f46\u662f\u5b8c\u5168\u6ca1\u6709DP\u7684\u601d\u60f3\u800c\u4e14\u6c42\u89e3\u65f6\u95f4\u4e0d\u53ef\u63a5\u53d7\uff1b\u4f46\u662f\u5982\u679c\u8981DP\uff0c\u5982\u4f55\u51cf\u5c11\u72b6\u6001\u6570\uff1f\u8981\u77e5\u9053\u672c\u9898\u7684\u8f93\u5165\u6570\u5217\u6392\u5e8f\u662f\u5f71\u54cd\u6700\u7ec8\u7ed3\u679c\u7684\u3002 \u4e0b\u9762\u7684\u89e3\u6cd5\u662fDP\u7684\uff0c\u8fd9\u4e2aDP\u7684\u5999\u5904\u5728\u4e8e\u4ecd\u7136\u7528\u8f93\u5165\u6570\u5217A\u7684\u5b50\u6570\u5217\u7ec4\u5408As\u4f5c\u4e3a\u72b6\u6001\uff0c\u4f46\u662f\u8fd9\u4e2a\u72b6\u6001\u4e0b\u9762\u4ecd\u7136\u5206\u4e00\u4e9b\u5b50\u72b6\u6001\uff0c\u4e0d\u8fc7\u4e0d\u662f\u7528\u8fd9\u4e2a\u5b50\u6570\u7ec4\u7684\u6240\u6709\u6392\u5e8f\u4f5c\u4e3a\u5b50\u72b6\u6001\u800c\u662f\u7528\u4e00\u79cdhash\u7684\u65b9\u5f0f\uff0c\u5373\u5c06\u8be5\u5b50\u6570\u7ec4\u7684\u53ef\u80fd\u7ed3\u679c\uff08\u5b50\u6570\u7ec4\u6bcf\u4e00\u79cd\u6392\u5e8f\u6309\u9898\u76ee\u7b97\u6cd5\u6240\u6c42\u5f97\u7684\u72b6\u6001\u503cR=x+x^As[i]\uff09\u5bf964\uff082\u76846\u6b21\u65b9\uff09\u6c42\u4f59\u6240\u5f97\u4f5c\u4e3a\u5b50\u72b6\u6001\u7684index\u3002 \u4e3a\u4ec0\u4e48\u53ef\u4ee5\u8fd9\u4e48\u505a\uff1f\u56e0\u4e3a\u9898\u76ee\u4e2d\u6570\u7ec4A\u6700\u5927\u7684\u6570\u4e3a50\uff086bit,\u53ef\u8986\u76d6\uff09\uff0c\u6240\u4ee5\u5728\u4e00\u4e2a\u72b6\u6001\u8f6c\u79fb\u5230\u4e0b\u4e00\u72b6\u6001\u65f6\uff0c\u5373\u67d0\u4e2a\u5b50\u6570\u7ec4\u65b0\u52a0\u5165\u4e00\u4e2a\u5143\u7d20\u7684\u65f6\u5019\uff0c\u5176\u5b9e\u53ea\u9700\u8981\u8003\u8651\u72b6\u6001\u503cR\u7684\u4f4e6\u4f4d\u4e0d\u540c\u7684\u60c5\u51b5\u5373\u53ef\uff0c\u56e0\u4e3a\u53ea\u6709\u4f4e6\u4f4d\u6709\u540e\u6548\u6027\uff0c\u53ea\u6709\u4f4e6\u4f4d\u76f8\u540c\u7684\u6240\u6709\u6392\u5e8f\u53ea\u9700\u53d6\u6700\u5927\u72b6\u6001\u503c\uff08\u8fd9\u91cc\u4e0d\u7528\u6c42\u5177\u4f53\u6392\u5e8f\uff0c\u4e3b\u8981\u6c42\u6700\u5927\u503c\uff09\uff0c\u5176\u4ed6\u90fd\u4e0d\u7528\u8003\u8651\u4e86\uff0c\u800c\u4e0d\u540c\u7684\u4f4e6\u4f4d\u503c\u53ef\u80fd\u5e26\u6765\u4e0d\u540c\u7684\u6709\u6548\u5b50\u72b6\u6001\u3002\u8bf4\u767d\u4e86\uff0c\u5c31\u662f\u5f53\u524d\u4f4e6\u4f4d\u4e0d\u4e00\u6837\u7684\uff0c\u73b0\u5728\u4e0d\u80fd\u5224\u5b9a\u4ee5\u540e\u8c01\u4f18\u8c01\u52a3\uff0c\u800c\u5f53\u524d\u4f4e6\u4f4d\u76f8\u540c\u7684\uff0c\u5df2\u7ecf\u53ef\u4ee5\u6beb\u65e0\u987e\u5fcc\u7684\u8fdb\u884c\u4f18\u80dc\u52a3\u6c70\u4e86\u3002\u8fd9\u6837\u4e00\u6765\u5c31\u5927\u5927\u51cf\u5c11\u4e86\u9700\u8981\u8003\u8651\u7684\u5206\u652f\uff0c\u4e8e\u662f\u6c42\u89e3\u6548\u7387\u5c31\u5448\u51e0\u4f55\u7ea7\u6570\u5730\u63d0\u9ad8\u4e86\u3002 class Xscoregame: def getscore(self, a): s = {(0,0):0} n = len(a) ln = 1&lt;&lt;n for i in range(0, ln): for j in range(0, 64): if s.get((i,j), -1) &lt; 0: continue for idx,k in enumerate(a): e = 1 &lt;&lt; idx if e &amp; i &gt; 0: continue t = s[(i,j)] t += t &hellip; <a href=\"http:\/\/www.luo666.com\/?p=140\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;topcoder: Xscoregame&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[2],"tags":[],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p7Dhki-2g","jetpack-related-posts":[],"_links":{"self":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/140"}],"collection":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=140"}],"version-history":[{"count":2,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/140\/revisions"}],"predecessor-version":[{"id":142,"href":"http:\/\/www.luo666.com\/index.php?rest_route=\/wp\/v2\/posts\/140\/revisions\/142"}],"wp:attachment":[{"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=140"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=140"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.luo666.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}