{"id":76856,"date":"2026-02-23T13:34:08","date_gmt":"2026-02-23T05:34:08","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/76856.html"},"modified":"2026-02-23T13:34:08","modified_gmt":"2026-02-23T05:34:08","slug":"%e6%89%93%e5%8d%a1%e4%bf%a1%e5%a5%a5%e5%88%b7%e9%a2%98%ef%bc%882856%ef%bc%89%e7%94%a8c%e5%ae%9e%e7%8e%b0%e4%bf%a1%e5%a5%a5%e9%a2%98-p4832-%e7%8f%88%e7%99%be%e7%92%83%e5%a0%95%e8%90%bd%e7%9a%84","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/76856.html","title":{"rendered":"\u6253\u5361\u4fe1\u5965\u5237\u9898\uff082856\uff09\u7528C++\u5b9e\u73b0\u4fe1\u5965\u9898 P4832 \u73c8\u767e\u7483\u5815\u843d\u7684\u5f00\u59cb"},"content":{"rendered":"<h2>P4832 \u73c8\u767e\u7483\u5815\u843d\u7684\u5f00\u59cb<\/h2>\n<h3>\u9898\u76ee\u80cc\u666f<\/h3>\n<p>\u201c\u606d\u559c\u4f60&#xff0c;\u73c8\u767e\u7483&#xff0c;\u4f60\u4ee5\u5b66\u5e74\u9996\u5e2d\u7684\u4f18\u79c0\u6210\u7ee9\u6bd5\u4e1a\u3002\u201d<\/p>\n<p>\u73c8\u767e\u7483&#xff0c;\u4e00\u4f4d\u4f18\u79c0\u7684\u5929\u4f7f&#xff0c;\u4eca\u5929\u5979\u4ee5\u5b66\u5e74\u9996\u5e2d\u7684\u6210\u7ee9\u6bd5\u4e1a&#xff0c;\u4ece\u4eca\u5f80\u540e&#xff0c;\u5979\u5c06\u524d\u5f80\u4eba\u95f4\u8fdb\u884c\u8fdb\u4e00\u6b65\u4fee\u70bc\u3002<\/p>\n<p>\u201c\u6211\u4f1a\u52aa\u529b\u7ed9\u4eba\u7c7b\u5e26\u6765\u5e78\u798f\u7684&#xff01;\u201d\u73c8\u767e\u7483\u61a7\u61ac\u7740\u4eba\u95f4\u751f\u6d3b\u3002<\/p>\n<p>\u5f00\u5b66\u7b2c\u4e00\u5929&#xff0c;\u73c8\u767e\u7483\u5c31\u51ed\u501f\u7740\u5979\u6781\u5176\u53ef\u7231\u7684\u5916\u8868&#xff0c;\u53d7\u5230\u4e86\u73ed\u7ea7\u6210\u5458\u7684\u8ffd\u6367&#xff0c;\u4e0d\u4ec5\u957f\u5f97\u53ef\u7231&#xff0c;\u6210\u7ee9\u8fd8\u5f88\u4f18\u79c0&#xff0c;\u7b80\u76f4\u5c31\u662f\u5973\u795e\u554a&#xff01;<\/p>\n<p>\u56e0\u4e3a\u5979\u7684\u6210\u7ee9\u4f18\u79c0&#xff0c;\u6240\u4ee5\u5979\u7684\u4f5c\u4e1a\u4e5f\u662f\u5f88\u5feb\u5c31\u5feb\u8981\u5b8c\u6210\u4e86&#xff0c;\u4f46\u662f\u5c31\u5728\u5979\u5feb\u5b8c\u6210\u6570\u5b66\u4f5c\u4e1a\u65f6&#xff0c;\u5979\u7684\u7535\u8111\u4f20\u6765\u4e86\u547c\u6551\u7684\u58f0\u97f3\u3002<\/p>\n<p>\u201c\u6551\u547d\u554a&#xff01;\u201d<\/p>\n<p>\u987a\u7740\u8fd9\u4e2a\u547c\u6551\u58f0&#xff0c;\u73c8\u767e\u7483\u671b\u5411\u4e86\u7535\u8111\u3002<\/p>\n<p>\u201c\u539f\u6765\u662f\u6e38\u620f\u554a\u3002\u201d\u73c8\u767e\u7483\u770b\u7740\u5c4f\u5e55\u91cc\u4e00\u4f4d\u5012\u5728\u5730\u4e0a\u7684\u6b8b\u8840\u6218\u58eb&#xff0c;\u6ce8\u518c\u4e86\u8d26\u53f7&#xff0c;\u9009\u62e9\u4e86\u7267\u5e08\u804c\u4e1a&#xff0c;\u5bf9\u8fd9\u4f4d\u6218\u58eb\u8fdb\u884c\u4e86\u6551\u6cbb\u3002\u5728\u73c8\u767e\u7483\u5f00\u5fc3\u7684\u540c\u65f6&#xff0c;\u8d8a\u6765\u8d8a\u591a\u7684\u547c\u6551\u58f0\u4f20\u6765&#xff0c;\u73c8\u767e\u7483\u4e00\u4e2a\u4e00\u4e2a\u8fdb\u884c\u6551\u6cbb&#xff0c;\u4f46\u5979\u7684 level \u624d 1&#xff0c;mp \u80af\u5b9a\u4e0d\u8db3&#xff0c;\u5f53\u5979\u60f3\u8981\u7ee7\u7eed\u8fdb\u884c\u6551\u6cbb\u7684\u65f6\u5019&#xff0c;\u7cfb\u7edf\u63d0\u793a mp \u4e0d\u8db3&#xff0c;\u5e76\u7ed9\u51fa\u4e86\u6c2a\u91d1\u7684\u63d0\u793a&#xff1a;\u201c\u5c60\u9f99\u5b9d\u5200&#xff0c;\u70b9\u51fb\u5c31\u9001\u3002\u201d<\/p>\n<p>\u201c\u751f\u6d3b\u8d39\u5929\u754c\u5b66\u9662\u5012\u662f\u6709\u7ed9&#xff0c;\u4f46\u662f\u2026\u2026\u201d\u73c8\u767e\u7483\u770b\u7740\u81ea\u5df1\u7684\u5b58\u6298&#xff0c;\u518d\u770b\u770b\u5c4f\u5e55&#xff0c;\u5979\u7ea0\u7ed3\u4e0d\u5df2\u3002<\/p>\n<p>\u201c\u6551\u547d\u554a&#xff01;\u201d\u201c\u6551\u2026\u2026\u6551\u547d\u554a\u2026\u2026\u201d\u201c\u6551\u547d\u554a&#xff01;\u201d\u73c8\u767e\u7483\u770b\u7740\u8fd9\u4e9b\u4eba\u4e00\u4e2a\u4e2a\u558a\u51fa\u6551\u547d&#xff0c;\u81ea\u5df1\u5374\u65e0\u80fd\u4e3a\u529b&#xff0c;\u7ec8\u4e8e&#xff0c;\u5979\u63a7\u5236\u4e0d\u4f4f\u81ea\u5df1&#xff0c;\u70b9\u4e0b\u4e86\u201c\u6c2a\u91d1\u201d\u6309\u94ae\u3002<\/p>\n<p>\u4ece\u6b64&#xff0c;\u73c8\u767e\u7483\u7684\u5815\u843d\u5c31\u5f00\u59cb\u4e86&#xff0c;\u5979\u7684\u4f5c\u4e1a&#xff0c;\u4e5f\u505c\u5728\u4e86\u8fd9\u9053\u6570\u5b66\u9898\u4e0a\u2026\u2026<\/p>\n<p>\u201c\u8587\u5948\u7279&#xff0c;\u5e2e\u6211\u5199\u4e00\u4e0b\u4f5c\u4e1a\u561b\u3002\u201d\u73c8\u767e\u7483\u592e\u6c42\u7740\u8587\u5948\u7279\u3002<\/p>\n<p>\u201c\u771f\u662f\u7684&#xff0c;\u4f60\u597d\u6b79\u4e5f\u662f\u5929\u4f7f\u5462&#xff0c;\u4e5f\u8be5\u81ea\u5df1\u505a\u4e00\u70b9\u4f5c\u4e1a\u5427\u3002\u201d<\/p>\n<p>\u201c\u4e0d\u8981&#xff0c;\u6211\u8fd8\u8981\u6253\u6e38\u620f\u5462\u3002\u201d<\/p>\n<p>\u201c\u8fd9\u600e\u4e48\u884c&#xff0c;\u4f60\u662f\u5929\u4f7f\u554a\u3002\u201d<\/p>\n<p>\u201c\u6211\u5df2\u7ecf\u51b3\u5b9a\u505a\u4e00\u4f4d\u6210\u5929\u6253\u6e38\u620f\u4e0d\u5b66\u4e60\u7684\u5815\u5929\u4f7f\u4e86\u3002\u201d<\/p>\n<p>\u201c\u771f\u662f\u670d\u4e86\u4f60\u554a&#xff0c;\u90a3\u4f60\u597d\u597d\u6253\u6e38\u620f\u5427&#xff0c;\u6211\u5e2e\u4f60\u5199\u3002\u201d<\/p>\n<h3>\u9898\u76ee\u63cf\u8ff0<\/h3>\n<p>\u8fd9\u9053\u9898\u662f\u8fd9\u6837\u7684&#xff1a;\u7ed9\u5b9a\u4e00\u4e9b <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">sin\u20612x\\\\sin^2x<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8719em\"><\/span><span class=\"mop\"><span class=\"mop\">sin<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8719em\"><span class=\"\" style=\"top: -3.1208em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">cos\u20612x\u00a0(x&#061;\u03c07)\\\\cos^2x\\\\ \\\\left(x&#061;\\\\dfrac{\\\\pi}{7}\\\\right)<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.836em;vertical-align: -0.686em\"><\/span><span class=\"mop\"><span class=\"mop\">cos<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\">\u00a0<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"minner\"><span class=\"mopen delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">(<\/span><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">7<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><span class=\"mclose delimcenter\" style=\"top: 0em\"><span class=\"delimsizing size2\">)<\/span><\/span><\/span><\/span><\/span><\/span><\/span> \u7ec4\u6210\u7684\u5f0f\u5b50&#xff0c;\u8bf7\u4f60\u5e2e\u5fd9\u6c42\u51fa\u9009\u62e9\u4e00\u4e9b\u5f0f\u5b50\u76f8\u52a0\u540e\u5f97\u5230\u7684\u6700\u5927\u6574\u6570\u7b54\u6848\u3002<\/p>\n<h3>\u8f93\u5165\u683c\u5f0f<\/h3>\n<p>\u7b2c\u4e00\u884c\u4e00\u4e2a\u6574\u6570 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u8868\u793a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u4e2a\u5f0f\u5b50<\/p>\n<p>\u63a5\u4e0b\u6765 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">nn<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><\/span><\/span><\/span><\/span> \u884c\u6bcf\u884c\u4e00\u4e2a\u5b57\u7b26\u4e32&#xff0c;\u7531 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">f(i)&#061;sin\u20612x,cos\u20612xf(i)&#061;\\\\sin^2x,\\\\cos^2x<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1em;vertical-align: -0.25em\"><\/span><span class=\"mord mathnormal\" style=\"margin-right: 0.1076em\">f<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">i<\/span><span class=\"mclose\">)<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0663em;vertical-align: -0.1944em\"><\/span><span class=\"mop\"><span class=\"mop\">sin<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8719em\"><span class=\"\" style=\"top: -3.1208em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\"><span class=\"mop\">cos<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span> \u548c\u52a0\u53f7\u7ec4\u6210&#xff0c;<span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">x&#061;\u03c07x&#061;\\\\dfrac{\\\\pi}{7}<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.7936em;vertical-align: -0.686em\"><\/span><span class=\"mord\"><span class=\"mopen nulldelimiter\"><\/span><span class=\"mfrac\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 1.1076em\"><span class=\"\" style=\"top: -2.314em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord\">7<\/span><\/span><\/span><span class=\"\" style=\"top: -3.23em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"frac-line\" style=\"border-bottom-width: 0.04em\"><\/span><\/span><span class=\"\" style=\"top: -3.677em\"><span class=\"pstrut\" style=\"height: 3em\"><\/span><span class=\"mord\"><span class=\"mord mathnormal\" style=\"margin-right: 0.0359em\">\u03c0<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.686em\"><span class=\"\"><\/span><\/span><\/span><\/span><\/span><span class=\"mclose nulldelimiter\"><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u4e3a\u4e86\u7b80\u5316\u8f93\u5165&#xff0c;\u6211\u4eec\u4ee5 s \u4ee3\u8868 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">sin\u20612x\\\\sin^2x<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8719em\"><\/span><span class=\"mop\"><span class=\"mop\">sin<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8719em\"><span class=\"\" style=\"top: -3.1208em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u4ee5 c \u4ee3\u8868 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">cos\u20612x\\\\cos^2x<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mop\"><span class=\"mop\">cos<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5e76\u7701\u7565 f(i)&#061;\u3002<\/p>\n<h3>\u8f93\u51fa\u683c\u5f0f<\/h3>\n<p>\u4e00\u4e2a\u6570\u8868\u793a\u6700\u5927\u6574\u6570\u7b54\u6848&#xff0c;\u8ba1\u7b97\u5168\u90e8\u4e3a\u52a0\u6cd5\u3002<\/p>\n<h3>\u8f93\u5165\u8f93\u51fa\u6837\u4f8b #1<\/h3>\n<h4>\u8f93\u5165 #1<\/h4>\n<p>3<br \/>\ns&#043;c<br \/>\ns&#043;c&#043;s<br \/>\nc<\/p>\n<h4>\u8f93\u51fa #1<\/h4>\n<p>3<\/p>\n<h3>\u8bf4\u660e\/\u63d0\u793a<\/h3>\n<h4>\u6837\u4f8b\u89e3\u91ca<\/h4>\n<p>\u4e09\u4e2a\u5f0f\u5b50\u90fd\u9009&#xff0c;\u5219\u52a0\u8d77\u6765\u7b49\u4e8e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">33<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">3<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h4>\u6570\u636e\u8303\u56f4<\/h4>\n<p>\u8bbe s \u548c c \u7684\u4e2a\u6570\u603b\u548c\u4e3a <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">mm<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">m<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">10%10\\\\%<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">10%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">n&#061;1n&#061;1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.4306em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p>\u53e6\u5916 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">20%20\\\\%<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">20%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e\u6bcf\u884c\u4e00\u4e2a\u5355\u9879\u5f0f\u3002<\/p>\n<p>\u53e6\u6709 <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">20%20\\\\%<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">20%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">n\u226420n\\\\le20<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">20<\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<p><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">100%100\\\\%<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.8056em;vertical-align: -0.0556em\"><\/span><span class=\"mord\">100%<\/span><\/span><\/span><\/span><\/span> \u7684\u6570\u636e <span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">n\u00d7m\u22645\u00d7107,m\u2264106n\\\\times m\\\\le5\\\\times10^7,m\\\\le10^6<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.6667em;vertical-align: -0.0833em\"><\/span><span class=\"mord mathnormal\">n<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7719em;vertical-align: -0.136em\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.7278em;vertical-align: -0.0833em\"><\/span><span class=\"mord\">5<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u00d7<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 1.0085em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">7<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">m<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">\u2264<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mord\">1<\/span><span class=\"mord\"><span class=\"mord\">0<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">6<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u3002<\/p>\n<h4>\u63d0\u793a<\/h4>\n<ul>\n<li><span class=\"katex--inline\"><span class=\"katex\"><span class=\"katex-mathml\">\u2200x,sin\u20612x&#043;cos\u20612x&#061;1\\\\forall x, \\\\sin^2x&#043;\\\\cos^2x&#061;1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 1.0663em;vertical-align: -0.1944em\"><\/span><span class=\"mord\">\u2200<\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mpunct\">,<\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mop\"><span class=\"mop\">sin<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8719em\"><span class=\"\" style=\"top: -3.1208em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">&#043;<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.8141em\"><\/span><span class=\"mop\"><span class=\"mop\">cos<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8141em\"><span class=\"\" style=\"top: -3.063em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\">2<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.1667em\"><\/span><span class=\"mord mathnormal\">x<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><span class=\"mrel\">&#061;<\/span><span class=\"mspace\" style=\"margin-right: 0.2778em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span>\u3002<\/li>\n<\/ul>\n<h3>C&#043;&#043;\u5b9e\u73b0<\/h3>\n<p><span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;cstdio&gt;<\/span><\/span><br \/>\n<span class=\"token macro property\"><span class=\"token directive-hash\">#<\/span><span class=\"token directive keyword\">include<\/span> <span class=\"token string\">&lt;cstring&gt;<\/span><\/span><br \/>\n<span class=\"token keyword\">using<\/span> <span class=\"token keyword\">namespace<\/span> std<span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> inf <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">100000000<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">const<\/span> <span class=\"token keyword\">int<\/span> T <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">1000300<\/span><span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">int<\/span> N<span class=\"token punctuation\">,<\/span> sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> dp<span class=\"token punctuation\">[<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">2001005<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> l<span class=\"token punctuation\">,<\/span> r<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">char<\/span> s<span class=\"token punctuation\">[<\/span><span class=\"token number\">2000005<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p><span class=\"token keyword\">inline<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> y<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> x<span class=\"token operator\">&gt;<\/span>y<span class=\"token operator\">?<\/span> x<span class=\"token operator\">:<\/span> y<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">inline<\/span> <span class=\"token keyword\">int<\/span> <span class=\"token function\">min<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> x<span class=\"token punctuation\">,<\/span> <span class=\"token keyword\">int<\/span> y<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> x<span class=\"token operator\">&lt;<\/span>y<span class=\"token operator\">?<\/span> x<span class=\"token operator\">:<\/span> y<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><br \/>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%d&#034;<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&amp;<\/span>N<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> i<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&lt;&#061;<\/span><span class=\"token number\">2001000<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span> dp<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> dp<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&#8211;<\/span>inf<span class=\"token punctuation\">;<\/span><br \/>\n    dp<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>T<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> i<span class=\"token operator\">&#061;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> ls<span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">&lt;&#061;<\/span>N<span class=\"token punctuation\">;<\/span> <span class=\"token operator\">&#043;&#043;<\/span>i<span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n        <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%s&#034;<\/span><span class=\"token punctuation\">,<\/span> s<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> ls <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">strlen<\/span><span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">,<\/span> sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> j<span class=\"token operator\">&#061;<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&lt;<\/span>ls<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#061;<\/span><span class=\"token number\">2<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">if<\/span> <span class=\"token punctuation\">(<\/span>s<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#061;&#061;<\/span><span class=\"token char\">&#039;c&#039;<\/span><span class=\"token punctuation\">)<\/span> sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token keyword\">else<\/span> sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">int<\/span> w <span class=\"token operator\">&#061;<\/span> sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> v <span class=\"token operator\">&#061;<\/span> sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#8211;<\/span> sum<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        l <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">min<\/span><span class=\"token punctuation\">(<\/span>l<span class=\"token punctuation\">,<\/span> l<span class=\"token operator\">&#043;<\/span>v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> r <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>r<span class=\"token punctuation\">,<\/span> r<span class=\"token operator\">&#043;<\/span>v<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token keyword\">for<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token keyword\">register<\/span> <span class=\"token keyword\">int<\/span> j<span class=\"token operator\">&#061;<\/span>l<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&lt;&#061;<\/span>r<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">&#043;&#043;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n            dp<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&amp;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span>T<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>dp<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&amp;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span>T<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> dp<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&amp;<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">^<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span>T<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n            dp<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&amp;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span>T<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">max<\/span><span class=\"token punctuation\">(<\/span>dp<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&amp;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#043;<\/span>T<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> dp<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">&amp;<\/span><span class=\"token number\">1<\/span><span class=\"token operator\">^<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">&#8211;<\/span>v<span class=\"token operator\">&#043;<\/span>T<span class=\"token punctuation\">]<\/span><span class=\"token operator\">&#043;<\/span>w<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n        <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token punctuation\">}<\/span><br \/>\n    <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;%d\\\\n&#034;<\/span><span class=\"token punctuation\">,<\/span> dp<span class=\"token punctuation\">[<\/span>N<span class=\"token operator\">&amp;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span 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