{"id":272,"date":"2022-10-16T23:15:00","date_gmt":"2022-10-16T15:15:00","guid":{"rendered":"https:\/\/h4ckm310n.com\/?p=272"},"modified":"2022-11-16T16:24:50","modified_gmt":"2022-11-16T08:24:50","slug":"%e8%85%be%e8%ae%af%e7%a7%8b%e6%8b%9b%e7%ac%94%e8%af%95-20221017","status":"publish","type":"post","link":"https:\/\/h4ckm310n.com\/?p=272","title":{"rendered":"\u817e\u8baf\u79cb\u62db\u7b14\u8bd5 &#8211; 20221016"},"content":{"rendered":"<p><!--more--><\/p>\n<h4>1. \u94fe\u8868\u5f02\u6216<\/h4>\n<p>\u9898\u76ee\u63cf\u8ff0\uff1a<br \/>\n\u5c0fQ\u6709\u4e24\u4e2a\u6574\u6570a\u548cb\uff0c\u8fd9\u4e24\u4e2a\u6574\u6570\u7684\u4e8c\u8fdb\u5236\u5b58\u50a8\u5230\u4e86\u4e24\u4e2a\u94fe\u8868\u4e2d\u3002<br \/>\n\u6574\u6570a\u7684\u4e8c\u8fdb\u5236\u6700\u9ad8\u4f4d\u5b58\u50a8\u5728\u94fe\u8868\u7684\u5934\u8282\u70b9\u4e2d\uff0c\u5269\u4e0b\u7684\u4e8c\u8fdb\u5236\u4f4d\u6309\u987a\u5e8f\u5b58\u50a8\u3002<br \/>\n\u800c\u6574\u6570b\u7684\u4e8c\u8fdb\u5236\u6700\u9ad8\u4f4d\u50a8\u5b58\u5728\u94fe\u8868\u5c3e\u4e2d\uff0c\u5269\u4e0b\u7684\u4e8c\u8fdb\u5236\u4f4d\u5411\u94fe\u8868\u5934\u65b9\u5411\u6309\u987a\u5e8f\u5b58\u50a8\u3002<br \/>\n\u5c0fQ\u60f3\u5bf9\u8fd9\u4e24\u4e2a\u6570\u505a\u6309\u4f4d\u5f02\u6216\u7684\u64cd\u4f5c\u5f97\u5230\u6574\u6570c\uff0c\u5e0c\u671b\u80fd\u591f\u5c06c\u7684\u4e8c\u8fdb\u5236\u8868\u793a\u540c\u6837\u5b58\u50a8\u5728\u94fe\u8868\u4e2d\u8f93\u51fa(\u6700\u9ad8\u4f4d\u5b58\u50a8\u5728\u5934\u8282\u70b9\u4e2d\u4e14\u65e0\u524d\u5bfc\u96f6)\u3002<br \/>\n\u6570\u636e\u8303\u56f4\uff1a\u7ed9\u5b9a\u8868\u793a\u4e24\u4e2a\u6570\u7684\u4e8c\u8fdb\u5236\u94fe\u8868\uff0c\u8282\u70b9\u4e2a\u6570\u662f\u6b63\u6574\u6570\u4e14\u90fd\u4e0d\u8d85\u8fc7100000\u3002<\/p>\n<p>\u793a\u4f8b1\uff1a<br \/>\n\u8f93\u5165\uff1a<br \/>\n{1,0,1,1},{0,1}<br \/>\n\u8f93\u51fa\uff1a<br \/>\n{1,0,0,1}<br \/>\n\u8bf4\u660e\uff1a<br \/>\n\u4e24\u4e2a\u6570\u5728\u5341\u8fdb\u5236\u4e2d\u662f11\u548c2\uff0c\u5f02\u6216\u7ed3\u679c\u4e3a9\u3002<\/p>\n<p>\u793a\u4f8b2\uff1a<br \/>\n\u8f93\u5165\uff1a<br \/>\n{1,1,1},{1,0,1}<br \/>\n\u8f93\u51fa\uff1a<br \/>\n{1,0}<br \/>\n\u8bf4\u660e\uff1a<br \/>\n\u4e24\u4e2a\u6570\u5728\u5341\u8fdb\u5236\u4e2d\u662f7\u548c5\uff0c\u5f02\u6216\u7ed3\u679c\u4e3a2\u3002<\/p>\n<h4>2. \u5c0fQ\u7684\u5947\u602a\u64cd\u4f5c<\/h4>\n<p>\u9898\u76ee\u63cf\u8ff0\uff1a<br \/>\n\u5c0fQ\u6709\u4e00\u4e2a\u5e8f\u5217a1,a2,\u2026,an\uff0c\u5c0fQ\u53ef\u4ee5\u6267\u884ck\u6b21\u64cd\u4f5c\uff0c\u6bcf\u6b21\u64cd\u4f5c\u53ef\u5c06ai\u53d8\u4e3a\u5176\u4e8c\u8fdb\u52361\u7684\u4e2a\u6570\uff0c\u5177\u4f53\u6bcf\u6b21\u64cd\u4f5c\u6b65\u9aa4\u5982\u4e0b\uff1a<br \/>\n1.\u5c0fQ\u9009\u62e9\u4e00\u4e2ap\uff081&lt;=p&lt;=n\uff09<br \/>\n2.\u5c06ap\u5199\u6210\u4e8c\u8fdb\u5236\u5f62\u5f0f\uff0c\u5e76\u4e14\u6570\u51fa&#8217;1&#8217;\u7684\u4e2a\u6570\u4e3acnt<br \/>\n3.\u5c06ap\u53d8\u6210cnt<br \/>\n\u5c0fQ\u60f3\u77e5\u9053k\u6b21\u64cd\u4f5c\u540e\u5e8f\u5217\u4e4b\u548c\u7684\u6700\u5c0f\u503c\u4e3a\u591a\u5c11\uff1f<br \/>\n(\u6ce8\uff1a\u4f60\u53ef\u4ee5\u5bf9\u67d0\u4e2ap\uff081&lt;=p&lt;=n\uff09\u8fdb\u884c\u591a\u6b21\u64cd\u4f5c)<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0\uff1a<br \/>\n\u7b2c\u4e00\u884c\u8f93\u5165\u4e24\u4e2a\u6574\u6570n\uff0ck\u3002<br \/>\n\u63a5\u4e0b\u6765\u8f93\u5165n\u4e2a\u6b63\u6574\u6570\uff0c\u8868\u793a\u5c0fQ\u7684\u5e8f\u5217\u3002<br \/>\n1&lt;=n&lt;=10^5<br \/>\n1&lt;=k&lt;=100<br \/>\n1&lt;=ai&lt;=10^9<br \/>\n\u8f93\u51fa\u63cf\u8ff0\uff1a<br \/>\n\u8f93\u51fa\u4e00\u4e2a\u6570\uff0c\u4ee3\u8868\u7b54\u6848\u3002<\/p>\n<p>\u793a\u4f8b1\uff1a<br \/>\n\u8f93\u5165\uff1a<br \/>\n2 1<br \/>\n8 7<br \/>\n\u8f93\u51fa\uff1a<br \/>\n8<br \/>\n\u8bf4\u660e\uff1a<br \/>\n8\u7684\u4e8c\u8fdb\u5236\u4e3a1000<br \/>\n7\u7684\u4e8c\u8fdb\u5236\u4e3a111<br \/>\n\u5c0fQ\u82e5\u5bf98\u6267\u884c\u64cd\u4f5c\uff0c\u5219\u5e8f\u5217\u53d8\u6210[1,7]\uff0c\u548c\u4e3a8<br \/>\n\u5c0fQ\u82e5\u5bf97\u6267\u884c\u64cd\u4f5c\uff0c\u5219\u5e8f\u5217\u53d8\u6210[8,3]\uff0c\u548c\u4e3a11<br \/>\n\u6240\u4ee5\u6700\u5c0f\u503c\u4e3a8<\/p>\n<p>\u793a\u4f8b2\uff1a<br \/>\n\u8f93\u5165\uff1a<br \/>\n3 2<br \/>\n8 7 1024<br \/>\n\u8f93\u51fa\uff1a<br \/>\n9<br \/>\n\u8bf4\u660e\uff1a<br \/>\n8\u7684\u4e8c\u8fdb\u5236\u4e3a1000<br \/>\n7\u7684\u4e8c\u8fdb\u5236\u4e3a111<br \/>\n1024\u7684\u4e8c\u8fdb\u5236\u4e3a10000000000<br \/>\n\u5c0fQ\u82e5\u5bf98\uff0c7\u6267\u884c\u64cd\u4f5c\uff0c\u5219\u5e8f\u5217\u53d8\u6210[1,3,1024]\uff0c\u548c\u4e3a1028<br \/>\n\u5c0fQ\u82e5\u5bf98\uff0c1024\u6267\u884c\u64cd\u4f5c\uff0c\u5219\u5e8f\u5217\u53d8\u6210[1,7,1]\uff0c\u548c\u4e3a9<br \/>\n\u5c0fQ\u82e5\u5bf97\uff0c1024\u6267\u884c\u64cd\u4f5c\uff0c\u5219\u5e8f\u5217\u53d8\u6210[8,3,1]\uff0c\u548c\u4e3a12<br \/>\n\u5c0fQ\u82e5\u5bf97\u6267\u884c2\u6b21\u64cd\u4f5c\uff0c\u5219\u5e8f\u5217\u53d8\u6210[8,2,1024]\uff0c\u548c\u4e3a1034<br \/>\n\u6240\u4ee5\u6700\u5c0f\u503c\u4e3a9<\/p>\n<p>\u793a\u4f8b3\uff1a<br \/>\n\u8f93\u5165\uff1a<br \/>\n2 2<br \/>\n2 15<br \/>\n\u8f93\u51fa\uff1a<br \/>\n3<br \/>\n\u8bf4\u660e\uff1a<br \/>\n\u5bf915\u64cd\u4f5c2\u6b21\uff0c\u5e8f\u5217\u53d8\u6210[2,1]\uff0c\u548c\u4e3a3<\/p>\n<h4>3. \u53cc\u5411\u961f\u5217\u6e38\u620f<\/h4>\n<p>\u9898\u76ee\u63cf\u8ff0\uff1a<br \/>\n\u5927Q\u6709\u4e00\u4e2a\u53cc\u5411\u961f\u5217\uff0c\u961f\u9996\u5143\u7d20\u5230\u961f\u5c3e\u5143\u7d20\u4f9d\u6b21\u662fq1,q2,&#8230;,qn\u3002<br \/>\n\u5927Q\u548c\u5c0fQ\u73a9\u6e38\u620f\uff0c\u6e38\u620f\u4e00\u5171\u8fdb\u884cn\u8f6e\uff0c\u5bf9\u4e8e\u7b2ci\u8f6e\u64cd\u4f5c\uff1a<br \/>\n1. \u5982\u679ci\u662f\u5947\u6570\uff0c\u5219\u5927Q\u9009\u62e9\u5f39\u51fa\u961f\u9996\u5143\u7d20\u6216\u961f\u5c3e\u5143\u7d20\u3002<br \/>\n2. \u5982\u679ci\u662f\u5076\u6570\uff0c\u5219\u5c0fQ\u9009\u62e9\u5f39\u51fa\u961f\u9996\u5143\u7d20\u6216\u961f\u5c3e\u5143\u7d20\u3002<br \/>\n\u7b2ci\u8f6e\u5f39\u51fa\u7684\u5143\u7d20\u4e3axi\u3002<br \/>\n\u8003\u8651X = x1 * 10 ^ (10^(n-1)) + x2 * 10 ^ (10^(n-2)) + &#8230; + xn * 10 ^ (10^0)<br \/>\n\u5927Q\u60f3\u8ba9x\u5c3d\u53ef\u80fd\u7684\u5927\uff0c\u5c0fQ\u60f3\u8ba9x\u5c3d\u53ef\u80fd\u7684\u5c0f\u3002<br \/>\n\u5728\u4e24\u4e2a\u4eba\u90fd\u91c7\u53d6\u6700\u4f18\u7b56\u7565\u7684\u60c5\u51b5\u4e0b\uff0cX\u662f\u591a\u5c11\uff1f<br \/>\n\u7531\u4e8eX\u592a\u5927\u4e86\uff0c\u4f60\u53ea\u9700\u8981\u8f93\u51fax1,x2,&#8230;,Xn\u3002<\/p>\n<p>\u8f93\u5165\u63cf\u8ff0\uff1a<br \/>\n\u7b2c\u4e00\u884c\u4e00\u4e2a\u6574\u6570n(1&lt;=n&lt;=100000)\u3002<br \/>\n\u7b2c\u4e8c\u884cn\u4e2a\u6574\u6570q1,q2,&#8230;,qn(1&lt;=qi&lt;=n)\uff0c\u5bf9\u4e8e\u4efb\u610fi != j\uff0c\u6ee1\u8db3qi != qj\u3002<br \/>\n\u8f93\u51fa\u63cf\u8ff0\uff1a<br \/>\n\u8f93\u51fa\u4e00\u884cn\u4e2a\u6574\u6570x1,x2,&#8230;,xn\u8868\u793a\u7b54\u6848\u3002<\/p>\n<p>\u793a\u4f8b1\uff1a<br \/>\n\u8f93\u5165\uff1a<br \/>\n3<br \/>\n1 2 3<br \/>\n\u8f93\u51fa\uff1a<br \/>\n3 1 2<br \/>\n\u8bf4\u660e\uff1a<br \/>\n\u7b2c\u4e00\u8f6e\uff0c\u5927Q\u5f39\u51fa3\u3002<br \/>\n\u7b2c\u4e8c\u8f6e\uff0c\u5c0fQ\u5f39\u51fa1\u3002<br \/>\n\u7b2c\u4e09\u8f6e\uff0c\u5927Q\u5f39\u51fa2\u3002<br \/>\nX = 3 * 10 ^ (10^2) + 1 * 10 ^ (10^1) + 2 * 10 ^ (10^0)\u3002<\/p>\n<p>\u793a\u4f8b2\uff1a<br \/>\n\u8f93\u5165\uff1a<br \/>\n21<br \/>\n21 3 4 16 1 17 2 20 18 15 19 14 13 12 11 10 9 7 8 5 6<br \/>\n\u8f93\u51fa\uff1a<br \/>\n21 3 6 4 16 1 17 2 20 5 18 8 15 7 19 9 14 10 13 11 12<\/p>\n<h4>4. \u5c0fQ\u7684\u96f6\u4e00\u533a\u95f4<\/h4>\n<p>\u9898\u76ee\u63cf\u8ff0\uff1a<br \/>\n\u5c0fQ\u6309\u5982\u4e0b\u65b9\u5f0f\u6784\u9020\u4e00\u4e2a01\u4e32\uff1a<br \/>\n\u7b2c\u4e00\u4e2a\u5b57\u7b26\u662f1<br \/>\n\u7b2c\u4e8c\u4e2a\u5b57\u7b26\u662f0\uff0c\u6b64\u65f6\u5b57\u7b26\u4e32\u4e3a&#8221;10&#8243;<br \/>\n\u7b2c3~4\u4e2a\u5b57\u7b26\uff0c\u4e3a\u524d\u4e24\u4e2a\u5b57\u7b26\u7684\u96f6\u4e00\u7ffb\u8f6c\uff081\u53d80\uff0c0\u53d81)\uff0c\u6b64\u65f6\u5b57\u7b26\u4e32\u4e3a&#8221;1001&#8243;<br \/>\n\u7b2c5~8\u4e2a\u5b57\u7b26\uff0c\u4e3a\u7b2c1~4\u4e2a\u5b57\u7b26\u7684\u96f6\u4e00\u7ffb\u8f6c\uff0c\u6b64\u65f6\u5b57\u7b26\u4e32\u4e3a&#8221;10010110&#8243;<br \/>\n\u7b2c9~16\u4e2a\u5b57\u7b26\uff0c\u4e3a\u7b2c1~8\u4e2a\u5b57\u7b26\u7684\u96f6\u4e00\u7ffb\u8f6c\uff0c\u6b64\u65f6\u5b57\u7b26\u4e32\u4e3a&#8221;1001011001101001&#8243;<br \/>\n\u540e\u9762\u7684\u64cd\u4f5c\u540c\u7406\u3002<br 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