{"id":107443,"date":"2026-09-19T18:25:30","date_gmt":"2026-09-19T10:25:30","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/107443.html"},"modified":"2026-09-19T18:25:30","modified_gmt":"2026-09-19T10:25:30","slug":"gesp2026%e5%b9%b49%e6%9c%88%e8%ae%a4%e8%af%81c%e5%9b%9b%e7%ba%a7-%e7%ac%ac%e4%b8%89%e9%83%a8%e5%88%86%e7%bc%96%e7%a8%8b%e9%a2%98%ef%bc%881%e3%80%81%e6%96%b0%e6%b1%89%e8%af%ba%e5%a1%94%ef%bc%89","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/107443.html","title":{"rendered":"GESP2026\u5e749\u6708\u8ba4\u8bc1C++\u56db\u7ea7( \u7b2c\u4e09\u90e8\u5206\u7f16\u7a0b\u9898\uff081\u3001\u65b0\u6c49\u8bfa\u5854\uff09\uff09\u7cbe\u8bb2"},"content":{"rendered":"<p style=\"text-align:center\"><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919102526-6aae631603a1d.png\" \/><\/p>\n<p><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919102526-6aae6316bdb8a.png\" \/><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919102527-6aae63174685e.png\" \/><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919102527-6aae631785a7a.png\" \/><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919102528-6aae63183db8a.png\" \/><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919102528-6aae631883f19.png\" \/><img decoding=\"async\" alt=\"\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/09\/20260919102528-6aae6318c7bd7.png\" \/><\/p>\n<hr \/>\n<p>\u8fd9\u9053\u9898\u663e\u7136\u662f\u8d85\u51fa\u5927\u90e8\u5206\u8003\u56db\u7ea7\u540c\u5b66\u7684\u5b9e\u9645\u80fd\u529b&#xff01;<\/p>\n<p>\u9898\u76ee\u662f\u5728\u7ecf\u5178\u6c49\u8bfa\u5854\u4e0a\u589e\u52a0\u4e86\u4e00\u4e2a\u65b0\u89c4\u5219&#xff1a;\u5706\u76d8\u53ea\u80fd\u6309\u7167 A \u2192 B\u3001B \u2192 C\u3001C \u2192 A \u7684\u65b9\u5411\u79fb\u52a8&#xff0c;\u5176\u4ed6\u65b9\u5411\u90fd\u4e0d\u5141\u8bb8\u3002<\/p>\n<hr \/>\n<h2>\u4e00\u3001\u5148\u7ed9\u540c\u5b66\u4eec\u8bb2\u4e00\u4e2a\u6545\u4e8b&#xff1a;\u4e09\u5ea7\u9b54\u6cd5\u5854<\/h2>\n<p>\u5f88\u4e45\u5f88\u4e45\u4ee5\u524d&#xff0c;\u6709\u4e00\u4e2a\u53eb\u5c0f\u6768\u7684\u9b54\u6cd5\u5e08\u3002<\/p>\n<p>\u4ed6\u6765\u5230\u4e86\u4e00\u5ea7\u795e\u79d8\u7684\u57ce\u5821&#xff0c;\u57ce\u5821\u91cc\u6709\u4e09\u6839\u9b54\u6cd5\u67f1&#xff1a;<\/p>\n<p>        A        B        C<br \/>\n        \u2502        \u2502        \u2502<br \/>\n        \u2502        \u2502        \u2502<br \/>\n       \u25cf\u2502        \u2502        \u2502<br \/>\n      \u25cf\u25cf\u2502        \u2502        \u2502<br \/>\n     \u25cf\u25cf\u25cf\u2502        \u2502        \u2502<\/p>\n<p>A\u3001B\u3001C \u4e09\u6839\u67f1\u5b50\u4e0a\u653e\u7740\u5927\u5c0f\u4e0d\u540c\u7684\u5706\u76d8\u3002<\/p>\n<hr \/>\n<p>\u89c4\u5219\u548c\u7ecf\u5178\u6c49\u8bfa\u5854\u4e00\u6837&#xff1a;<\/p>\n<h4>\u89c4\u52191&#xff1a;\u4e00\u6b21\u53ea\u80fd\u79fb\u52a8\u4e00\u4e2a\u5706\u76d8<\/h4>\n<p>\u4e0d\u80fd&#xff1a;<\/p>\n<p>\u4e00\u4e0b\u642c\u4e24\u4e2a<\/p>\n<p>\u53ea\u80fd&#xff1a;<\/p>\n<p>\u642c\u4e00\u4e2a<\/p>\n<hr \/>\n<h4>\u89c4\u52192&#xff1a;\u53ea\u80fd\u62ff\u6700\u4e0a\u9762\u7684\u5706\u76d8<\/h4>\n<p>\u4e0b\u9762\u538b\u7740\u4e00\u4e2a\u5706\u76d8&#xff0c;\u5c31\u4e0d\u80fd\u76f4\u63a5\u62ff\u51fa\u6765\u3002<\/p>\n<hr \/>\n<h4>\u89c4\u52193&#xff1a;\u5927\u5706\u76d8\u4e0d\u80fd\u538b\u5728\u5c0f\u5706\u76d8\u4e0a<\/h4>\n<p>\u4f8b\u5982&#xff1a;<\/p>\n<p>   \u25cf<br \/>\n  \u25cf\u25cf<\/p>\n<p>\u53ef\u4ee5\u3002<\/p>\n<p>\u4f46\u662f&#xff1a;<\/p>\n<p>  \u25cf\u25cf<br \/>\n   \u25cf<\/p>\n<p>\u4e0d\u53ef\u4ee5\u3002<\/p>\n<hr \/>\n<h2>\u4e8c\u3001\u4f46\u662f\u4eca\u5929\u6709\u4e00\u4e2a\u8d85\u7ea7\u9ebb\u70e6\u7684\u65b0\u89c4\u5b9a&#xff01;<\/h2>\n<p>\u5c0f\u6768\u7a81\u7136\u53d1\u73b0\u57ce\u5821\u95e8\u53e3\u8d34\u7740\u4e00\u5f20\u544a\u793a&#xff1a;<\/p>\n<p>&#x1f6a8; \u9b54\u6cd5\u5706\u76d8\u53ea\u80fd\u987a\u65f6\u9488\u8d70&#xff01;<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4&#xff1a;<\/p>\n<p>A \u2192 B<br \/>\nB \u2192 C<br \/>\nC \u2192 A<\/p>\n<p>\u53ea\u6709\u8fd9\u4e09\u4e2a\u65b9\u5411\u53ef\u4ee5\u8d70\u3002<\/p>\n<p>\u800c&#xff1a;<\/p>\n<p>A \u2192 C   \u274c<br \/>\nB \u2192 A   \u274c<br \/>\nC \u2192 B   \u274c<\/p>\n<p>\u5168\u90e8\u7981\u6b62&#xff01;<\/p>\n<p>\u9898\u76ee\u5c31\u662f&#xff1a;<\/p>\n<p>\u73b0\u5728\u6709 n \u4e2a\u5706\u76d8&#xff0c;\u5168\u90e8\u653e\u5728 A \u67f1&#xff0c;\u8981\u628a\u5b83\u4eec\u6309\u7167\u539f\u6765\u7684\u987a\u5e8f\u5168\u90e8\u642c\u5230 C \u67f1&#xff0c;\u6700\u5c11\u9700\u8981\u591a\u5c11\u6b65&#xff1f;<\/p>\n<hr \/>\n<p>\u9898\u76ee\u7684\u6837\u4f8b\u662f&#xff1a;<\/p>\n<p>\u8f93\u5165&#xff1a;<br \/>\n2<\/p>\n<p>\u8f93\u51fa&#xff1a;<br \/>\n7<\/p>\n<p>\u4e5f\u5c31\u662f\u8bf4&#xff1a;<\/p>\n<p>\u4e24\u4e2a\u5706\u76d8&#xff0c;\u7adf\u7136\u9700\u8981\u6574\u65747\u6b65&#xff01;<\/p>\n<hr \/>\n<h2>\u4e09\u3001\u5148\u4e0d\u8981\u5199\u4ee3\u7801&#xff0c;\u6211\u4eec\u5148\u624b\u5de5\u73a9\u4e00\u6b21&#xff01;<\/h2>\n<p>\u8fd9\u662f\u6574\u9053\u9898\u6700\u91cd\u8981\u7684\u5730\u65b9\u3002<\/p>\n<p>\u5047\u8bbe\u53ea\u6709\u4e24\u4e2a\u5706\u76d8&#xff1a;<\/p>\n<p>A          B          C<\/p>\n<p>\u5c0f1<br \/>\n\u59272<\/p>\n<p>\u76ee\u6807&#xff1a;<\/p>\n<p>A          B          C<\/p>\n<p>                    \u5c0f1<br \/>\n                    \u59272<\/p>\n<hr \/>\n<h3>\u7b2c1\u6b65&#xff1a;\u5c0f\u5706\u76d8 A \u2192 B<\/h3>\n<p>A          B          C<\/p>\n<p>\u59272         \u5c0f1<\/p>\n<hr \/>\n<h3>\u7b2c2\u6b65&#xff1a;\u5c0f\u5706\u76d8 B \u2192 C<\/h3>\n<p>A          B          C<\/p>\n<p>\u59272                    \u5c0f1<\/p>\n<hr \/>\n<h3>\u7b2c3\u6b65&#xff1a;\u5927\u5706\u76d8 A \u2192 B<\/h3>\n<p>A          B          C<\/p>\n<p>            \u59272       \u5c0f1<\/p>\n<hr \/>\n<p>\u73b0\u5728\u9ebb\u70e6\u6765\u4e86&#xff01;<\/p>\n<p>\u5927\u5706\u76d8\u5df2\u7ecf\u5728 B\u3002<\/p>\n<p>\u6309\u7167\u89c4\u5219&#xff0c;\u5927\u5706\u76d8\u4e0b\u4e00\u6b65\u5fc5\u987b&#xff1a;<\/p>\n<p>B \u2192 C<\/p>\n<p>\u4f46\u662f C \u4e0a\u6709\u5c0f\u5706\u76d8\u3002<\/p>\n<p>\u6240\u4ee5\u5fc5\u987b\u5148\u628a C \u4e0a\u7684\u5c0f\u5706\u76d8\u642c\u8d70\u3002<\/p>\n<hr \/>\n<h3>\u7b2c4\u6b65&#xff1a;\u5c0f\u5706\u76d8 C \u2192 A<\/h3>\n<p>\u56e0\u4e3a&#xff1a;<\/p>\n<p>C \u2192 A<\/p>\n<p>\u5141\u8bb8\u3002<\/p>\n<hr \/>\n<h3>\u7b2c5\u6b65&#xff1a;\u5927\u5706\u76d8 B \u2192 C<\/h3>\n<p>A          B          C<\/p>\n<p>\u5c0f1                    \u59272<\/p>\n<hr \/>\n<p>\u4f46\u662f\u76ee\u6807\u662f&#xff1a;<\/p>\n<p>\u5c0f1<br \/>\n\u59272<\/p>\n<p>\u5c0f\u5706\u76d8\u73b0\u5728\u8fd8\u5728 A\u3002<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<h3>\u7b2c6\u6b65&#xff1a;\u5c0f\u5706\u76d8 A \u2192 B<\/h3>\n<p>A          B          C<\/p>\n<p>            \u5c0f1       \u59272<\/p>\n<h3>\u7b2c7\u6b65&#xff1a;\u5c0f\u5706\u76d8 B \u2192 C<\/h3>\n<p>A          B          C<\/p>\n<p>                     \u5c0f1<br \/>\n                     \u59272<\/p>\n<p>\u6210\u529f&#xff01;<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>2\u4e2a\u5706\u76d8 \u2192 7\u6b65<\/p>\n<p>\u8fd9\u6b63\u662f\u9898\u76ee\u7684\u6837\u4f8b&#xff1a;<\/p>\n<p>2<br \/>\n7<\/p>\n<p>\u4ee5\u53ca\u9898\u76ee\u7ed9\u51fa\u76847\u6b65\u79fb\u52a8\u8fc7\u7a0b\u3002<\/p>\n<hr \/>\n<h2>\u56db\u3001\u540c\u5b66\u4eec\u90fd\u5f88\u82e6\u607c&#xff1a;\u4e3a\u4ec0\u4e48\u4e0d\u80fd\u76f4\u63a5 A \u2192 C&#xff1f;<\/h2>\n<p>\u56e0\u4e3a\u65b0\u89c4\u5219\u89c4\u5b9a\u4e86&#xff1a;<\/p>\n<p>A \u2192 B<br \/>\nB \u2192 C<br \/>\nC \u2192 A<\/p>\n<p>\u53ea\u80fd\u6cbf\u7740\u8fd9\u4e2a\u65b9\u5411\u8d70\u3002<\/p>\n<p>\u53ef\u4ee5\u628a\u4e09\u6839\u67f1\u5b50\u60f3\u8c61\u6210\u4e00\u4e2a\u9b54\u6cd5\u4f20\u9001\u73af&#xff1a;<\/p>\n<p>             A<br \/>\n           \u2199   \u2196<br \/>\n          \/     \\\\<br \/>\n       C \u2190\u2500\u2500\u2500\u2500\u2500\u2500 B<\/p>\n<p>\u66f4\u51c6\u786e\u5730\u753b\u6210&#xff1a;<\/p>\n<p>       A<br \/>\n      \u2193<br \/>\n       B<br \/>\n      \u2193<br \/>\n       C<br \/>\n      \u2193<br \/>\n       A<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>A \u2192 B       \u2705<br \/>\nB \u2192 C       \u2705<br \/>\nC \u2192 A       \u2705<\/p>\n<p>A \u2192 C       \u274c<br \/>\nC \u2192 B       \u274c<br \/>\nB \u2192 A       \u274c<\/p>\n<hr \/>\n<h2>\u4e94\u3001\u771f\u6b63\u7684\u96be\u9898\u6765\u4e86&#xff1a;\u5982\u679c\u6709 n \u4e2a\u5706\u76d8\u600e\u4e48\u529e&#xff1f;<\/h2>\n<p>\u5982\u679c&#xff1a;<\/p>\n<p>n &#061; 2<\/p>\n<p>\u6211\u4eec\u8fd8\u80fd\u624b\u5de5\u73a9\u3002<\/p>\n<p>\u5982\u679c&#xff1a;<\/p>\n<p>n &#061; 10<\/p>\n<p>\u5462&#xff1f;<\/p>\n<p>\u5982\u679c&#xff1a;<\/p>\n<p>n &#061; 20<\/p>\n<p>\u5462&#xff1f;<\/p>\n<p>\u96be\u9053\u6211\u4eec\u771f\u7684\u4e00\u9897\u4e00\u9897\u5706\u76d8\u53bb\u6a21\u62df&#xff1f;<\/p>\n<p>\u90a3\u5c31\u592a\u7d2f\u4e86\u3002<\/p>\n<p>\u806a\u660e\u7684\u5c0f\u6768\u60f3&#xff1a;<\/p>\n<p>\u201c\u6211\u80fd\u4e0d\u80fd\u628a n \u4e2a\u5706\u76d8\u7684\u95ee\u9898&#xff0c;\u53d8\u6210 n-1 \u4e2a\u5706\u76d8\u7684\u95ee\u9898&#xff1f;\u201d<\/p>\n<p>\u8fd9\u5c31\u662f\u4eca\u5929\u6700\u91cd\u8981\u7684\u601d\u60f3\u3002<\/p>\n<hr \/>\n<h2>\u516d\u3001\u6211\u4eec\u5148\u7ed9\u95ee\u9898\u8d77\u4e24\u4e2a\u540d\u5b57<\/h2>\n<p>\u8fd9\u91cc\u662f\u6574\u9053\u9898\u6700\u5173\u952e\u7684\u4e00\u6b65\u3002<\/p>\n<p>\u6211\u4eec\u5b9a\u4e49\u4e24\u4e2a\u201c\u9b54\u6cd5\u4efb\u52a1\u201d\u3002<\/p>\n<hr \/>\n<h3>\u4efb\u52a1 F&#xff1a;\u4ece A \u642c\u5230 B<\/h3>\n<p>\u6211\u4eec\u5b9a\u4e49&#xff1a;<\/p>\n<p>F[n] &#061; n \u4e2a\u5706\u76d8\u4ece A \u642c\u5230 B \u7684\u6700\u5c11\u6b65\u6570\u3002<\/p>\n<p>\u4f8b\u5982&#xff1a;<\/p>\n<p>F[1]<\/p>\n<p>\u4e00\u4e2a\u5706\u76d8&#xff1a;<\/p>\n<p>A \u2192 B<\/p>\n<p>\u53ea\u9700\u8981&#xff1a;<\/p>\n<p>1\u6b65<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>F[1] &#061; 1<\/p>\n<hr \/>\n<h3>\u4efb\u52a1 G&#xff1a;\u4ece A \u642c\u5230 C<\/h3>\n<p>\u6211\u4eec\u5b9a\u4e49&#xff1a;<\/p>\n<p>G[n] &#061; n \u4e2a\u5706\u76d8\u4ece A \u642c\u5230 C \u7684\u6700\u5c11\u6b65\u6570\u3002<\/p>\n<p>\u6211\u4eec\u771f\u6b63\u8981\u6c42\u7684\u5c31\u662f&#xff1a;<\/p>\n<p>G[n]<\/p>\n<p>\u56e0\u4e3a\u9898\u76ee\u8981\u6c42&#xff1a;<\/p>\n<p>A \u2192 C<\/p>\n<hr \/>\n<h2>\u4e03\u3001\u5148\u89e3\u51b3 F[n]<\/h2>\n<p>\u5047\u8bbe\u73b0\u5728\u6709 n \u4e2a\u5706\u76d8&#xff1a;<\/p>\n<p>1\u53f7&#xff1a;\u6700\u5c0f<br \/>\n2\u53f7<br \/>\n3\u53f7<br \/>\n&#8230;<br \/>\nn\u53f7&#xff1a;\u6700\u5927<\/p>\n<p>\u6211\u4eec\u60f3&#xff1a;<\/p>\n<p>A \u2192 B<\/p>\n<p>\u6700\u5927\u5706\u76d8 n \u6700\u7ec8\u5fc5\u987b\u4ece&#xff1a;<\/p>\n<p>A \u2192 B<\/p>\n<p>\u4f46\u662f\u6700\u5927\u5706\u76d8\u4e0a\u9762\u538b\u7740&#xff1a;<\/p>\n<p>1 ~ n-1<\/p>\n<p>\u6240\u4ee5\u5fc5\u987b\u5148\u628a\u4e0a\u9762\u7684 n-1 \u4e2a\u5706\u76d8\u642c\u8d70\u3002<\/p>\n<p>\u642c\u5230\u54ea\u91cc&#xff1f;<\/p>\n<p>\u4e0d\u80fd\u642c\u5230 B\u3002<\/p>\n<p>\u56e0\u4e3a\u6211\u4eec\u6700\u540e\u8981\u8ba9&#xff1a;<\/p>\n<p>n\u53f7\u5927\u5706\u76d8 A \u2192 B<\/p>\n<p>\u6240\u4ee5 B \u5fc5\u987b\u7a7a\u51fa\u6765\u3002<\/p>\n<p>\u4e8e\u662f&#xff1a;<\/p>\n<p>n-1\u4e2a\u5706\u76d8<br \/>\nA \u2192 C<\/p>\n<p>\u8fd9\u4e2a\u95ee\u9898\u662f\u4ec0\u4e48&#xff1f;<\/p>\n<p>\u6b63\u597d\u5c31\u662f\u6211\u4eec\u5b9a\u4e49\u7684&#xff1a;<\/p>\n<p>G[n-1]<\/p>\n<hr \/>\n<h3>\u7136\u540e\u6700\u5927\u5706\u76d8\u79fb\u52a8<\/h3>\n<p>n\u53f7\u5706\u76d8&#xff1a;<br \/>\nA \u2192 B<\/p>\n<p>\u53ea\u9700\u8981&#xff1a;<\/p>\n<p>1\u6b65<\/p>\n<hr \/>\n<h3>\u4f46\u662f\u8fd8\u6ca1\u7ed3\u675f&#xff01;<\/h3>\n<p>\u73b0\u5728&#xff1a;<\/p>\n<p>n\u53f7\u5927\u5706\u76d8\u5728 B<br \/>\nn-1\u4e2a\u5c0f\u5706\u76d8\u5728 C<\/p>\n<p>\u6211\u4eec\u6700\u7ec8\u5e0c\u671b\u5168\u90e8\u5230 B\u3002<\/p>\n<p>\u53ef\u662f\u5c0f\u5706\u76d8\u73b0\u5728\u5728 C\u3002<\/p>\n<p>\u800c\u89c4\u5219\u89c4\u5b9a&#xff1a;<\/p>\n<p>C \u2192 A<br \/>\nA \u2192 B<\/p>\n<p>\u6240\u4ee5\u8981\u628a n-1 \u4e2a\u5706\u76d8\u4ece C \u642c\u5230 B\u3002<\/p>\n<p>\u8fd9\u548c&#xff1a;<\/p>\n<p>A \u2192 C<\/p>\n<p>\u672c\u8d28\u4e0a\u662f\u4e00\u6837\u7684&#xff0c;\u53ea\u662f\u628a\u4e09\u6839\u67f1\u5b50\u7684\u540d\u5b57\u6574\u4f53\u8f6c\u4e86\u4e00\u5708\u3002<\/p>\n<p>\u6240\u4ee5\u8fd8\u9700\u8981&#xff1a;<\/p>\n<p>G[n-1]<\/p>\n<hr \/>\n<p>\u56e0\u6b64&#xff1a;<\/p>\n<p>F[n] &#061; G[n-1] &#043; 1 &#043; G[n-1]<\/p>\n<p>\u4e5f\u5c31\u662f&#xff1a;<\/p>\n<h2>\u2b50 F[n] &#061; 2 \u00d7 G[n-1] &#043; 1<\/h2>\n<p>\u8fd9\u5c31\u662f\u53c2\u8003\u7a0b\u5e8f\u4e2d\u7684&#xff1a;<\/p>\n<p>f[i] &#061; 2 * g[i &#8211; 1] &#043; 1;<\/p>\n<hr \/>\n<h2>\u516b\u3001\u518d\u89e3\u51b3 G[n]<\/h2>\n<p>\u8fd9\u624d\u662f\u771f\u6b63\u7684\u76ee\u6807\u3002<\/p>\n<p>\u6211\u4eec\u60f3\u628a&#xff1a;<\/p>\n<p>n\u4e2a\u5706\u76d8<br \/>\nA \u2192 C<\/p>\n<p>\u600e\u4e48\u529e&#xff1f;<\/p>\n<p>\u6700\u5927\u7684\u5706\u76d8 n \u6700\u7ec8\u5fc5\u987b\u5230 C\u3002<\/p>\n<p>\u4f46\u662f\u6ce8\u610f&#xff1a;<\/p>\n<p>A \u2192 C<\/p>\n<p>\u662f\u4e0d\u5141\u8bb8\u7684&#xff01;<\/p>\n<p>\u6240\u4ee5\u6700\u5927\u5706\u76d8\u5fc5\u987b&#xff1a;<\/p>\n<p>A \u2192 B \u2192 C<\/p>\n<p>\u4e5f\u5c31\u662f&#xff1a;<\/p>\n<p>A \u2192 B<br \/>\nB \u2192 C<\/p>\n<p>\u9700\u8981\u4e24\u6b65\u3002<\/p>\n<hr \/>\n<h2>\u4e5d\u3001\u7b2c\u4e00\u9636\u6bb5&#xff1a;\u5148\u642c\u8d70\u4e0a\u9762\u7684 n-1 \u4e2a\u5c0f\u5706\u76d8<\/h2>\n<p>\u6700\u5927\u5706\u76d8\u5728 A\u3002<\/p>\n<p>\u6211\u4eec\u8981\u8ba9\u5b83&#xff1a;<\/p>\n<p>A \u2192 B<\/p>\n<p>\u6240\u4ee5 A \u4e0a\u9762\u7684 n-1 \u4e2a\u5706\u76d8\u5fc5\u987b\u5148\u79bb\u5f00\u3002<\/p>\n<p>\u5b83\u4eec\u9700\u8981&#xff1a;<\/p>\n<p>A \u2192 C<\/p>\n<p>\u56e0\u6b64\u9700\u8981&#xff1a;<\/p>\n<p>G[n-1]<\/p>\n<p>\u6b65\u3002<\/p>\n<hr \/>\n<h2>\u5341\u3001\u7b2c\u4e8c\u9636\u6bb5&#xff1a;\u6700\u5927\u5706\u76d8 A \u2192 B<\/h2>\n<p>n\u53f7\u5706\u76d8&#xff1a;<br \/>\nA \u2192 B<\/p>\n<p>\u9700\u8981&#xff1a;<\/p>\n<p>1\u6b65<\/p>\n<hr \/>\n<h2>\u5341\u4e00\u3001\u7b2c\u4e09\u9636\u6bb5&#xff1a;\u628a n-1 \u4e2a\u5706\u76d8\u4ece C \u642c\u5230 A<\/h2>\n<p>\u73b0\u5728&#xff1a;<\/p>\n<p>A&#xff1a;\u7a7a\u4e86<br \/>\nB&#xff1a;\u6700\u5927\u5706\u76d8<br \/>\nC&#xff1a;n-1\u4e2a\u5c0f\u5706\u76d8<\/p>\n<p>\u4e3a\u4e86\u8ba9\u6700\u5927\u5706\u76d8\u7ee7\u7eed&#xff1a;<\/p>\n<p>B \u2192 C<\/p>\n<p>C \u5fc5\u987b\u7a7a\u51fa\u6765\u3002<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>n-1\u4e2a\u5706\u76d8&#xff1a;<br \/>\nC \u2192 A<\/p>\n<p>\u6ce8\u610f&#xff1a;<\/p>\n<p>C \u2192 A<\/p>\n<p>\u6b63\u597d\u662f\u5141\u8bb8\u7684&#xff01;<\/p>\n<p>\u8fd9\u4e2a\u4efb\u52a1\u548c&#xff1a;<\/p>\n<p>A \u2192 B<\/p>\n<p>\u662f\u540c\u4e00\u79cd\u60c5\u51b5\u3002<\/p>\n<p>\u6240\u4ee5\u9700\u8981&#xff1a;<\/p>\n<p>F[n-1]<\/p>\n<p>\u6b65\u3002<\/p>\n<hr \/>\n<h2>\u5341\u4e8c\u3001\u7b2c\u56db\u9636\u6bb5&#xff1a;\u6700\u5927\u5706\u76d8 B \u2192 C<\/h2>\n<p>\u73b0\u5728 C \u5df2\u7ecf\u7a7a\u51fa\u6765\u4e86\u3002<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>n\u53f7\u5706\u76d8&#xff1a;<\/p>\n<p>B \u2192 C<\/p>\n<p>\u53c8\u9700\u8981&#xff1a;<\/p>\n<p>1\u6b65<\/p>\n<hr \/>\n<h2>\u5341\u4e09\u3001\u7b2c\u4e94\u9636\u6bb5&#xff1a;\u6700\u540e\u7684\u5c0f\u5706\u76d8 A \u2192 C<\/h2>\n<p>\u73b0\u5728&#xff1a;<\/p>\n<p>A&#xff1a;n-1\u4e2a\u5c0f\u5706\u76d8<br \/>\nB&#xff1a;\u7a7a<br \/>\nC&#xff1a;\u6700\u5927\u5706\u76d8<\/p>\n<p>\u6700\u540e\u53ea\u9700\u8981&#xff1a;<\/p>\n<p>n-1\u4e2a\u5706\u76d8<br \/>\nA \u2192 C<\/p>\n<p>\u8fd9\u53c8\u662f&#xff1a;<\/p>\n<p>G[n-1]<\/p>\n<p>\u6b65\u3002<\/p>\n<hr \/>\n<h2>\u5341\u56db\u3001\u7ec8\u4e8e\u5f97\u5230\u6838\u5fc3\u516c\u5f0f&#xff01;<\/h2>\n<p>\u628a\u8fd95\u90e8\u5206\u52a0\u8d77\u6765&#xff1a;<\/p>\n<p>\u7b2c\u4e00\u90e8\u5206&#xff1a;G[n-1]<br \/>\n\u7b2c\u4e8c\u90e8\u5206&#xff1a;1<br \/>\n\u7b2c\u4e09\u90e8\u5206&#xff1a;F[n-1]<br \/>\n\u7b2c\u56db\u90e8\u5206&#xff1a;1<br \/>\n\u7b2c\u4e94\u90e8\u5206&#xff1a;G[n-1]<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<h2>\u2b50 G[n] &#061; 2 \u00d7 G[n-1] &#043; F[n-1] &#043; 2<\/h2>\n<p>\u8fd9\u6b63\u662f\u9898\u76ee\u53c2\u8003\u7a0b\u5e8f\u4e2d\u7684&#xff1a;<\/p>\n<p>g[i] &#061; 2 * g[i &#8211; 1] &#043; f[i &#8211; 1] &#043; 2;<\/p>\n<hr \/>\n<h2>\u5341\u4e94\u3001\u73b0\u5728\u5b69\u5b50\u5e94\u8be5\u660e\u767d&#xff1a;\u4e3a\u4ec0\u4e48\u8981\u6709 F \u548c G \u4e24\u4e2a\u6570\u7ec4\u4e86<\/h2>\n<p>\u53ef\u4ee5\u628a\u5b83\u60f3\u8c61\u6210\u4e24\u4e2a\u4efb\u52a1\u673a\u5668\u4eba&#xff1a;<\/p>\n<p>&#x1f916; F\u673a\u5668\u4eba&#xff1a;<\/p>\n<p>\u8d1f\u8d23&#xff1a;<br \/>\nn\u4e2a\u5706\u76d8 A \u2192 B<\/p>\n<p>&#x1f916; G\u673a\u5668\u4eba&#xff1a;<\/p>\n<p>\u8d1f\u8d23&#xff1a;<br \/>\nn\u4e2a\u5706\u76d8 A \u2192 C<\/p>\n<p>\u7136\u540e&#xff1a;<\/p>\n<p>F[n]<br \/>\n\u2193<br \/>\n\u9700\u8981\u4e24\u4e2a G[n-1]<\/p>\n<p>G[n]<br \/>\n\u2193<br \/>\n\u9700\u8981\u4e24\u4e2a G[n-1]<br \/>\n&#043; \u4e00\u4e2a F[n-1]<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>F[n] &#061; 2G[n-1] &#043; 1<\/p>\n<p>G[n] &#061; 2G[n-1] &#043; F[n-1] &#043; 2<\/p>\n<hr \/>\n<h2>\u5341\u516d\u3001\u4ece\u6700\u5c0f\u76841\u4e2a\u5706\u76d8\u5f00\u59cb\u7b97<\/h2>\n<p>\u6211\u4eec\u7ea6\u5b9a&#xff1a;<\/p>\n<p>F[0] &#061; 0<br \/>\nG[0] &#061; 0<\/p>\n<p>\u4e3a\u4ec0\u4e48&#xff1f;<\/p>\n<p>\u56e0\u4e3a&#xff1a;<\/p>\n<p>0\u4e2a\u5706\u76d8\u6839\u672c\u4e0d\u7528\u642c\u3002<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>F[0] &#061; 0<br \/>\nG[0] &#061; 0<\/p>\n<hr \/>\n<h3>n &#061; 1<\/h3>\n<p>\u8ba1\u7b97&#xff1a;<\/p>\n<p>F[1]<br \/>\n&#061; 2 \u00d7 G[0] &#043; 1<br \/>\n&#061; 2 \u00d7 0 &#043; 1<br \/>\n&#061; 1<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>F[1] &#061; 1<\/p>\n<p>\u518d\u7b97&#xff1a;<\/p>\n<p>G[1]<br \/>\n&#061; 2 \u00d7 G[0] &#043; F[0] &#043; 2<br \/>\n&#061; 0 &#043; 0 &#043; 2<br \/>\n&#061; 2<\/p>\n<p>\u786e\u5b9e&#xff1a;<\/p>\n<p>A \u2192 B<br \/>\nB \u2192 C<\/p>\n<p>\u4e24\u6b65\u3002<\/p>\n<hr \/>\n<h2>\u5341\u4e03\u3001n &#061; 2<\/h2>\n<p>\u73b0\u5728&#xff1a;<\/p>\n<p>F[1] &#061; 1<br \/>\nG[1] &#061; 2<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>F[2]<br \/>\n&#061; 2 \u00d7 G[1] &#043; 1<br \/>\n&#061; 2 \u00d7 2 &#043; 1<br \/>\n&#061; 5<\/p>\n<p>\u518d\u7b97&#xff1a;<\/p>\n<p>G[2]<br \/>\n&#061; 2 \u00d7 G[1] &#043; F[1] &#043; 2<br \/>\n&#061; 2 \u00d7 2 &#043; 1 &#043; 2<br \/>\n&#061; 7<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>G[2] &#061; 7<\/p>\n<p>\u8fd9\u548c\u9898\u76ee\u6837\u4f8b\u5b8c\u5168\u4e00\u81f4&#xff1a;<\/p>\n<p>\u8f93\u5165&#xff1a;2<br \/>\n\u8f93\u51fa&#xff1a;7<\/p>\n<hr \/>\n<h2>\u5341\u516b\u3001\u7ee7\u7eed\u7b97 n &#061; 3<\/h2>\n<p>F[2] &#061; 5<br \/>\nG[2] &#061; 7<\/p>\n<p>\u4e8e\u662f&#xff1a;<\/p>\n<p>F[3]<br \/>\n&#061; 2 \u00d7 G[2] &#043; 1<br \/>\n&#061; 2 \u00d7 7 &#043; 1<br \/>\n&#061; 15<\/p>\n<p>\u518d&#xff1a;<\/p>\n<p>G[3]<br \/>\n&#061; 2 \u00d7 G[2] &#043; F[2] &#043; 2<br \/>\n&#061; 2 \u00d7 7 &#043; 5 &#043; 2<br \/>\n&#061; 21<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>3\u4e2a\u5706\u76d8 A \u2192 C<br \/>\n\u6700\u5c11\u9700\u898121\u6b65<\/p>\n<hr \/>\n<h2>\u5341\u4e5d\u3001\u505a\u4e00\u5f20\u8868&#xff0c;\u4e00\u4e0b\u5c31\u660e\u767d\u4e86<\/h2>\n<table>\n<tr>\u5706\u76d8\u6570\u91cf nF[n]&#xff1a;A\u2192BG[n]&#xff1a;A\u2192C<\/tr>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>0<\/td>\n<td>0<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>1<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>5<\/td>\n<td>7<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>15<\/td>\n<td>21<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>43<\/td>\n<td>64<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u540c\u5b66\u4eec\u53ef\u4ee5\u89c2\u5bdf&#xff1a;<\/p>\n<p>G[1] &#061; 2<br \/>\nG[2] &#061; 7<br \/>\nG[3] &#061; 21<br \/>\nG[4] &#061; 64<\/p>\n<p>\u6570\u5b57\u8d8a\u6765\u8d8a\u5927\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u4e3a\u4ec0\u4e48&#xff1a;<\/p>\n<p>\u4e0d\u80fd\u771f\u7684\u4e00\u5c42\u4e00\u5c42\u6a21\u62df\u79fb\u52a8\u8fc7\u7a0b&#xff0c;\u800c\u5e94\u8be5\u76f4\u63a5\u8ba1\u7b97\u7b54\u6848\u3002<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u3001\u8fd9\u9053\u9898\u5176\u5b9e\u5c31\u662f\u201c\u52a8\u6001\u89c4\u5212\u201d<\/h2>\n<p>\u867d\u7136\u9898\u76ee\u7528\u5230\u7684\u662f\u9012\u63a8&#xff0c;\u4f46\u4e0d\u638c\u63e1\u52a8\u6001\u89c4\u5212\u7684\u65b9\u6cd5&#xff0c;\u5df2\u7ecf\u5f88\u96be\u505a\u8fd9\u9053\u9898&#xff0c;\u6240\u4ee5\u672c\u9898\u662f\u4e25\u91cd\u7684\u8d85\u7eb2\u3002<\/p>\n<p>\u56e0\u4e3a&#xff1a;<\/p>\n<p>G[4]<\/p>\n<p>\u9700\u8981&#xff1a;<\/p>\n<p>G[3]<br \/>\nF[3]<\/p>\n<p>\u800c&#xff1a;<\/p>\n<p>G[3]<\/p>\n<p>\u53c8\u9700\u8981&#xff1a;<\/p>\n<p>G[2]<br \/>\nF[2]<\/p>\n<p>\u2026\u2026<\/p>\n<p>\u6240\u4ee5\u6211\u4eec\u4ece\u5c0f\u5230\u5927&#xff1a;<\/p>\n<p>0<br \/>\n\u2193<br \/>\n1<br \/>\n\u2193<br \/>\n2<br \/>\n\u2193<br \/>\n3<br \/>\n\u2193<br \/>\n4<br \/>\n\u2193<br \/>\n&#8230;<br \/>\n\u2193<br \/>\nn<\/p>\n<p>\u4e00\u4e2a\u4e00\u4e2a\u8ba1\u7b97\u3002<\/p>\n<p>\u8fd9\u5c31\u662f\u7528\u5230\u4e86&#xff1a;<\/p>\n<p>\u5c0f\u95ee\u9898 \u2192 \u5927\u95ee\u9898<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u4e00\u3001\u4ee3\u7801\u5341\u5206\u7b80\u5355&#xff0c;\u4f46\u662f\u63a8\u8bba\u4ee3\u7801\u7684\u8fc7\u7a0b\u975e\u5e38\u4e0d\u7b80\u5355&#xff01;<\/h2>\n<p>\u9898\u76ee\u7684\u53c2\u8003\u7a0b\u5e8f\u662f&#xff1a;<\/p>\n<p>#include &lt;iostream&gt;<br \/>\nusing namespace std;<\/p>\n<p>int f[22], g[22];<\/p>\n<p>int main() {<br \/>\n    int n;<br \/>\n    cin &gt;&gt; n;<\/p>\n<p>    for (int i &#061; 1; i &lt;&#061; n; &#043;&#043;i) {<br \/>\n        f[i] &#061; 2 * g[i &#8211; 1] &#043; 1;<br \/>\n        g[i] &#061; 2 * g[i &#8211; 1] &#043; f[i &#8211; 1] &#043; 2;<br \/>\n    }<\/p>\n<p>    cout &lt;&lt; g[n] &lt;&lt; endl;<\/p>\n<p>    return 0;<br \/>\n}<\/p>\n<p>\u8fd9\u5c31\u662f\u9898\u76ee\u7ed9\u51fa\u7684\u53c2\u8003\u7a0b\u5e8f\u3002<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u4e8c\u3001\u9010\u884c\u7ed9\u5927\u5bb6\u89e3\u6790\u4e0b<\/h2>\n<h3>\u7b2c1\u884c<\/h3>\n<p>#include &lt;iostream&gt;<\/p>\n<p>\u544a\u8bc9 C&#043;&#043;&#xff1a;<\/p>\n<p>\u6211\u8981\u4f7f\u7528\u8f93\u5165\u8f93\u51fa\u529f\u80fd\u3002<\/p>\n<hr \/>\n<h3>\u7b2c2\u884c<\/h3>\n<p>using namespace std;<\/p>\n<p>\u65b9\u4fbf\u6211\u4eec\u4f7f\u7528&#xff1a;<\/p>\n<p>cin<br \/>\ncout<\/p>\n<hr \/>\n<h3>\u7b2c4\u884c<\/h3>\n<p>int f[22], g[22];<\/p>\n<p>\u51c6\u5907\u4e24\u4e2a\u201c\u8bb0\u5fc6\u76d2\u5b50\u201d\u3002<\/p>\n<p>f[0] f[1] f[2] f[3] &#8230;<\/p>\n<p>g[0] g[1] g[2] g[3] &#8230;<\/p>\n<p>\u5176\u4e2d&#xff1a;<\/p>\n<p>f[i] &#061; i\u4e2a\u5706\u76d8 A \u2192 B \u7684\u6700\u5c11\u6b65\u6570<\/p>\n<p>g[i] &#061; i\u4e2a\u5706\u76d8 A \u2192 C \u7684\u6700\u5c11\u6b65\u6570<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u4e09\u3001\u8f93\u5165 n<\/h2>\n<p>int n;<br \/>\ncin &gt;&gt; n;<\/p>\n<p>\u4f8b\u5982&#xff1a;<\/p>\n<p>2<\/p>\n<p>\u90a3\u4e48&#xff1a;<\/p>\n<p>n &#061; 2<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u56db\u3001\u4ece1\u5f00\u59cb\u4e00\u4e2a\u4e00\u4e2a\u7b97<\/h2>\n<p>for (int i &#061; 1; i &lt;&#061; n; &#043;&#043;i)<\/p>\n<p>\u5982\u679c&#xff1a;<\/p>\n<p>n &#061; 5<\/p>\n<p>\u90a3\u4e48&#xff1a;<\/p>\n<p>i &#061; 1<br \/>\ni &#061; 2<br \/>\ni &#061; 3<br \/>\ni &#061; 4<br \/>\ni &#061; 5<\/p>\n<p>\u50cf\u722c\u697c\u68af\u4e00\u6837&#xff1a;<\/p>\n<p>\u7b2c1\u5c42<br \/>\n \u2193<br \/>\n\u7b2c2\u5c42<br \/>\n \u2193<br \/>\n\u7b2c3\u5c42<br \/>\n \u2193<br \/>\n\u7b2c4\u5c42<br \/>\n \u2193<br \/>\n\u7b2c5\u5c42<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u4e94\u3001\u7b2c\u4e00\u6761\u516c\u5f0f<\/h2>\n<p>f[i] &#061; 2 * g[i &#8211; 1] &#043; 1;<\/p>\n<p>\u89e3\u91ca\u4e00\u4e0b&#xff1a;<\/p>\n<p>\u8981\u5b8c\u6210 i \u4e2a\u5706\u76d8 A\u2192B&#xff0c;\u5148\u505a\u4e24\u6b21 i-1 \u4e2a\u5706\u76d8 A\u2192C&#xff0c;\u518d\u79fb\u52a8\u4e00\u6b21\u6700\u5927\u7684\u5706\u76d8\u3002<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>F[i]<br \/>\n&#061;<br \/>\nG[i-1]<br \/>\n&#043;<br \/>\n1<br \/>\n&#043;<br \/>\nG[i-1]<\/p>\n<p>\u4e5f\u5c31\u662f&#xff1a;<\/p>\n<p>2 \u00d7 G[i-1] &#043; 1<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u516d\u3001\u7b2c\u4e8c\u6761\u516c\u5f0f<\/h2>\n<p>g[i] &#061; 2 * g[i &#8211; 1] &#043; f[i &#8211; 1] &#043; 2;<\/p>\n<p>\u89e3\u91ca\u4e00\u4e0b&#xff1a;<\/p>\n<p>\u8981\u5b8c\u6210 i \u4e2a\u5706\u76d8 A\u2192C&#xff0c;\u9700\u8981&#xff1a;<\/p>\n<p>\u2460 n-1 \u4e2a\u5706\u76d8 A\u2192C<br \/>\n\u2461 \u6700\u5927\u5706\u76d8 A\u2192B<br \/>\n\u2462 n-1 \u4e2a\u5706\u76d8 C\u2192A<br \/>\n\u2463 \u6700\u5927\u5706\u76d8 B\u2192C<br \/>\n\u2464 n-1 \u4e2a\u5706\u76d8 A\u2192C<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>G[i]<br \/>\n&#061;<br \/>\nG[i-1]<br \/>\n&#043; 1<br \/>\n&#043; F[i-1]<br \/>\n&#043; 1<br \/>\n&#043; G[i-1]<\/p>\n<p>\u6574\u7406&#xff1a;<\/p>\n<p>G[i]<br \/>\n&#061;<br \/>\n2G[i-1]<br \/>\n&#043;<br \/>\nF[i-1]<br \/>\n&#043;<br \/>\n2<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u4e03\u3001\u6700\u540e\u4e3a\u4ec0\u4e48\u8f93\u51fa g[n]&#xff1f;<\/h2>\n<p>cout &lt;&lt; g[n] &lt;&lt; endl;<\/p>\n<p>\u56e0\u4e3a\u9898\u76ee\u6700\u7ec8\u8981\u6c42&#xff1a;<\/p>\n<p>n\u4e2a\u5706\u76d8<br \/>\nA \u2192 C<\/p>\n<p>\u800c\u6211\u4eec\u65e9\u5c31\u89c4\u5b9a&#xff1a;<\/p>\n<p>g[n]<\/p>\n<p>\u5c31\u662f&#xff1a;<\/p>\n<p>n\u4e2a\u5706\u76d8\u4ece A \u642c\u5230 C \u7684\u6700\u5c11\u6b65\u6570\u3002<\/p>\n<p>\u6240\u4ee5\u76f4\u63a5&#xff1a;<\/p>\n<p>cout &lt;&lt; g[n];<\/p>\n<p>\u5c31\u7ed3\u675f\u4e86\u3002<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u516b\u3001\u628a n&#061;2 \u5728\u4ee3\u7801\u91cc\u8dd1\u4e00\u904d<\/h2>\n<p>\u8f93\u5165&#xff1a;<\/p>\n<p>2<\/p>\n<p>\u5f00\u59cb&#xff1a;<\/p>\n<p>f[0] &#061; 0<br \/>\ng[0] &#061; 0<\/p>\n<h4>i &#061; 1<\/h4>\n<p>f[1] &#061; 2 \u00d7 g[0] &#043; 1<br \/>\n     &#061; 1<\/p>\n<p>g[1] &#061; 2 \u00d7 g[0] &#043; f[0] &#043; 2<br \/>\n     &#061; 2<\/p>\n<p>\u73b0\u5728&#xff1a;<\/p>\n<p>f[1] &#061; 1<br \/>\ng[1] &#061; 2<\/p>\n<hr \/>\n<h4>i &#061; 2<\/h4>\n<p>f[2] &#061; 2 \u00d7 g[1] &#043; 1<br \/>\n     &#061; 2 \u00d7 2 &#043; 1<br \/>\n     &#061; 5<\/p>\n<p>\u7136\u540e&#xff1a;<\/p>\n<p>g[2] &#061; 2 \u00d7 g[1] &#043; f[1] &#043; 2<br \/>\n     &#061; 2 \u00d7 2 &#043; 1 &#043; 2<br \/>\n     &#061; 7<\/p>\n<p>\u6700\u540e&#xff1a;<\/p>\n<p>cout &lt;&lt; g[2];<\/p>\n<p>\u8f93\u51fa&#xff1a;<\/p>\n<p>7<\/p>\n<hr \/>\n<h2>\u4e8c\u5341\u4e5d\u3001\u8fd9\u9053\u9898\u5176\u5b9e\u8003\u7684\u4e0d\u662f\u6c49\u8bfa\u5854<\/h2>\n<p>\u8fd9\u9053\u9898\u8868\u9762\u4e0a\u8003&#xff1a;<\/p>\n<p>\u6c49\u8bfa\u5854\u3002<\/p>\n<p>\u5b9e\u9645\u4e0a\u8003\u7684\u662f&#xff1a;<\/p>\n<h3>\u201c\u62c6\u95ee\u9898\u201d\u7684\u80fd\u529b\u3002<\/h3>\n<p>\u6211\u4eec\u770b\u5230&#xff1a;<\/p>\n<p>20\u4e2a\u5706\u76d8<\/p>\n<p>\u6709\u53ef\u80fd\u7b2c\u4e00\u53cd\u5e94&#xff1a;<\/p>\n<p>\u8001\u5e08&#xff0c;\u8fd9\u600e\u4e48\u642c\u5f97\u5b8c&#xff1f;<\/p>\n<p>\u4f46\u7b97\u6cd5\u9ad8\u624b\u4f1a\u8bf4&#xff1a;<\/p>\n<p>\u6211\u4e0d\u9700\u8981\u771f\u7684\u642c20\u4e2a\u3002<\/p>\n<p>\u6211\u53ea\u9700\u8981\u77e5\u9053&#xff1a;<\/p>\n<p>20\u4e2a\u95ee\u9898<br \/>\n\u2193<br \/>\n19\u4e2a\u95ee\u9898<br \/>\n\u2193<br \/>\n18\u4e2a\u95ee\u9898<br \/>\n\u2193<br \/>\n&#8230;<br \/>\n\u2193<br \/>\n1\u4e2a\u95ee\u9898<\/p>\n<p>\u7136\u540e\u4ece\u6700\u5c0f\u7684\u95ee\u9898\u5f00\u59cb&#xff0c;\u628a\u7b54\u6848\u4e00\u5c42\u4e00\u5c42\u63a8\u56de\u6765\u3002<\/p>\n<hr \/>\n<h2>\u4e09\u5341\u3001\u65b0\u6c49\u8bfa\u5854\u4e09\u6b65\u6cd5<\/h2>\n<h4>\u7b2c\u4e00\u6b65&#xff1a;\u7ed9\u4efb\u52a1\u8d77\u540d\u5b57<\/h4>\n<p>F[n]&#xff1a;A \u2192 B<br \/>\nG[n]&#xff1a;A \u2192 C<\/p>\n<hr \/>\n<h4>\u7b2c\u4e8c\u6b65&#xff1a;\u627e\u5230\u6700\u5927\u5706\u76d8<\/h4>\n<p>\u6700\u5927\u5706\u76d8\u4e0d\u80fd\u76f4\u63a5&#xff1a;<\/p>\n<p>A \u2192 C<\/p>\n<p>\u6240\u4ee5\u5fc5\u987b&#xff1a;<\/p>\n<p>A \u2192 B \u2192 C<\/p>\n<hr \/>\n<h4>\u7b2c\u4e09\u6b65&#xff1a;\u628a\u5927\u95ee\u9898\u62c6\u6210\u5c0f\u95ee\u9898<\/h4>\n<p>F[n] &#061; 2G[n-1] &#043; 1<\/p>\n<p>G[n] &#061; 2G[n-1] &#043; F[n-1] &#043; 2<\/p>\n<p>\u6700\u540e&#xff1a;<\/p>\n<p>\u7b54\u6848 &#061; G[n]<\/p>\n<hr \/>\n<h2>\u4e09\u5341\u4e00\u3001\u6700\u5bb9\u6613\u72af\u76844\u4e2a\u9519\u8bef<\/h2>\n<h3>\u274c \u9519\u8bef1&#xff1a;\u8ba4\u4e3a A \u53ef\u4ee5\u76f4\u63a5\u5230 C<\/h3>\n<p>\u9898\u76ee\u65b0\u89c4\u5219&#xff1a;<\/p>\n<p>A \u2192 B<br \/>\nB \u2192 C<br \/>\nC \u2192 A<\/p>\n<p>\u6240\u4ee5&#xff1a;<\/p>\n<p>A \u2192 C \u274c<\/p>\n<hr \/>\n<h3>\u274c \u9519\u8bef2&#xff1a;\u53ea\u5b9a\u4e49\u4e00\u4e2a\u6570\u7ec4<\/h3>\n<p>\u6709\u4eba\u53ef\u80fd\u60f3&#xff1a;<\/p>\n<p>int dp[100];<\/p>\n<p>\u4f46\u4e0d\u884c\u3002<\/p>\n<p>\u56e0\u4e3a\u6211\u4eec\u53d1\u73b0&#xff1a;<\/p>\n<p>G[n]<\/p>\n<p>\u8ba1\u7b97\u7684\u65f6\u5019\u4e0d\u4ec5\u9700\u8981&#xff1a;<\/p>\n<p>G[n-1]<\/p>\n<p>\u8fd8\u9700\u8981&#xff1a;<\/p>\n<p>F[n-1]<\/p>\n<p>\u6240\u4ee5\u5fc5\u987b\u8bb0\u5f55\u4e24\u79cd\u72b6\u6001&#xff1a;<\/p>\n<p>f[]<br \/>\ng[]<\/p>\n<hr \/>\n<h3>\u274c \u9519\u8bef3&#xff1a;\u5fd8\u8bb0\u4e24\u4e2a\u201c\u5927\u5706\u76d8\u79fb\u52a8\u201d<\/h3>\n<p>\u8ba1\u7b97&#xff1a;<\/p>\n<p>G[n]<\/p>\n<p>\u6700\u5927\u5706\u76d8\u8981&#xff1a;<\/p>\n<p>A \u2192 B<br \/>\nB \u2192 C<\/p>\n<p>\u6240\u4ee5\u4e00\u5b9a\u6709&#xff1a;<\/p>\n<p>&#043;2<\/p>\n<p>\u4e0d\u662f &#043;1\u3002<\/p>\n<hr \/>\n<h3>\u274c \u9519\u8bef4&#xff1a;\u4ece n \u5f800\u7b97<\/h3>\n<p>\u4f8b\u5982&#xff1a;<\/p>\n<p>for (int i &#061; n; i &gt;&#061; 1; i&#8211;)<\/p>\n<p>\u4f1a\u5f88\u9ebb\u70e6&#xff0c;\u56e0\u4e3a&#xff1a;<\/p>\n<p>G[n]<br \/>\n\u9700\u8981 G[n-1]<\/p>\n<p>G[n-1]<br \/>\n\u9700\u8981 G[n-2]<\/p>\n<p>\u6240\u4ee5\u6700\u8212\u670d\u7684\u65b9\u6cd5\u662f&#xff1a;<\/p>\n<p>\u4ece\u5c0f\u5230\u5927<br \/>\n0 \u2192 1 \u2192 2 \u2192 &#8230; \u2192 n<\/p>\n<hr \/>\n<h2>\u4e09\u5341\u4e8c\u3001\u6700\u540e\u628a\u6574\u9053\u9898\u538b\u7f29\u6210\u4e00\u5f20\u56fe<\/h2>\n<p>                 \u65b0\u6c49\u8bfa\u5854<br \/>\n                    \u2502<br \/>\n             \u4e09\u6839\u9b54\u6cd5\u67f1 A B C<br \/>\n                    \u2502<br \/>\n        \u53ea\u80fd\u6309\u7167 A\u2192B\u2192C\u2192A \u79fb\u52a8<br \/>\n                    \u2502<br \/>\n                    \u2193<br \/>\n             \u5b9a\u4e49\u4e24\u4e2a\u72b6\u6001<br \/>\n             \u250c\u2500\u2500\u2500\u2500\u2500\u2500\u2534\u2500\u2500\u2500\u2500\u2500\u2500\u2510<br \/>\n             \u2193             \u2193<br \/>\n          F[n]            G[n]<br \/>\n       A \u2192 B             A \u2192 C<br \/>\n             \u2502             \u2502<br \/>\n             \u2193             \u2193<br \/>\n    F[n]&#061;2G[n-1]&#043;1<br \/>\n                          G[n]<br \/>\n                            \u2193<br \/>\n             2G[n-1]&#043;F[n-1]&#043;2<br \/>\n                            \u2502<br \/>\n                            \u2193<br \/>\n                         G[n]<br \/>\n                            \u2502<br \/>\n                            \u2193<br \/>\n                          \u7b54\u6848<\/p>\n<hr \/>\n<h3>&#x1f31f; 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