\n| log(x)<\/td>\n | \u81ea\u7136\u5bf9\u6570<\/td>\n | log(exp(1))=1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n exp \u662f e \u7684\u6307\u6570\u51fd\u6570，\u96f6\u6b21\u65b9\u7b49\u4e8e1，\u8fd4\u56de\u7c7b\u578b\u662f double\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172521-6ac28c01c7dde.png\") <\/h3>\n
\n\u7b2c2\u9898：\u5f00\u653e\u5b9a\u5740\u6cd5\u5220\u9664\u5143\u7d20<\/h3>\n
\u274c\ufe0f \u9519\u8bef<\/p>\n \u9898\u76ee：<\/p>\n \u91c7\u7528\u5f00\u653e\u5b9a\u5740\u6cd5\u5904\u7406\u51b2\u7a81\u7684\u54c8\u5e0c\u8868\u4e2d，\u5220\u9664\u4e00\u4e2a\u5143\u7d20\u540e\u53ef\u4ee5\u76f4\u63a5\u5c06\u8be5\u4f4d\u7f6e\u7f6e\u7a7a，\u4e0d\u4f1a\u5f71\u54cd\u540e\u7eed\u67e5\u627e\u3002<\/p>\n
\n\u8fd9\u9053\u9898\u8003\u67e5\u54c8\u5e0c\u8868\u4e2d\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u7ec6\u8282：\u5220\u9664\u5143\u7d20\u65f6，\u4e0d\u80fd\u968f\u4fbf\u628a\u4f4d\u7f6e\u6e05\u7a7a！<\/p>\n \u7b2c\u4e00\u6b65：\u5148\u8ba4\u8bc6\u54c8\u5e0c\u8868<\/h4>\n\u6211\u4eec\u53ef\u4ee5\u628a\u54c8\u5e0c\u8868\u60f3\u8c61\u6210\u4e00\u4e2a\u5e26\u7f16\u53f7\u7684\u50a8\u7269\u67dc\u3002<\/p>\n \u6bcf\u4e2a\u6570\u636e\u7ecf\u8fc7\u54c8\u5e0c\u51fd\u6570\u8ba1\u7b97\u540e，\u5c31\u4f1a\u5f97\u5230\u4e00\u4e2a\u67dc\u5b50\u7f16\u53f7\u3002<\/p>\n \u4f8b\u5982：<\/p>\n C++<\/p>\n int pos = x % 10;<\/p>\n \u5982\u679c：<\/p>\n C++<\/p>\n x = 23;<\/p>\n \u90a3\u4e48：<\/p>\n C++<\/p>\n pos = 23 % 10 = 3;<\/p>\n \u4e8e\u662f，\u6570\u5b5723\u5c31\u60f3\u5b58\u5165\u7f16\u53f73\u7684\u67dc\u5b50\u3002<\/p>\n \u4f46\u662f，\u5982\u679c\u7f16\u53f73\u5df2\u7ecf\u6709\u4eba\u4e86\u600e\u4e48\u529e？<\/p>\n \u8fd9\u5c31\u53d1\u751f\u4e86\u54c8\u5e0c\u51b2\u7a81\u3002<\/p>\n
\n\u7b2c\u4e8c\u6b65：\u4ec0\u4e48\u662f\u5f00\u653e\u5b9a\u5740\u6cd5？<\/h4>\n\u5f00\u653e\u5b9a\u5740\u6cd5\u7684\u601d\u8def\u662f：<\/p>\n \u5982\u679c\u539f\u6765\u7684\u4f4d\u7f6e\u88ab\u5360\u7528\u4e86，\u5c31\u7ee7\u7eed\u5bfb\u627e\u5176\u4ed6\u7a7a\u4f4d\u7f6e\u3002<\/p>\n \u5047\u8bbe23\u548c33\u53d1\u751f\u51b2\u7a81，33\u7ecf\u8fc7\u63a2\u6d4b\u540e\u5b58\u653e\u5728\u4f4d\u7f6e4\u3002<\/p>\n \u73b0\u5728，\u6211\u4eec\u60f3\u67e5\u627e33\u3002<\/p>\n \u67e5\u627e\u8fc7\u7a0b：<\/p>\n \n\u5148\u8ba1\u7b9733\u7684\u54c8\u5e0c\u4f4d\u7f6e，\u5f97\u52303\u3002<\/p>\n<\/li>\n \n\u53d1\u73b0\u4f4d\u7f6e3\u5b58\u653e\u7684\u662f23，\u4e0d\u662f33\u3002<\/p>\n<\/li>\n \n\u6309\u7167\u5f00\u653e\u5b9a\u5740\u6cd5\u7ee7\u7eed\u5411\u540e\u5bfb\u627e\u3002<\/p>\n<\/li>\n \n\u627e\u5230\u4f4d\u7f6e4，\u53d1\u73b033，\u67e5\u627e\u6210\u529f\u3002<\/p>\n<\/li>\n
\n\u7b2c\u4e09\u6b65：\u4e3a\u4ec0\u4e48\u4e0d\u80fd\u76f4\u63a5\u5220\u9664？<\/h4>\n\u5047\u8bbe\u6211\u4eec\u5220\u966423，\u76f4\u63a5\u628a\u4f4d\u7f6e3\u6e05\u7a7a：<\/p>\n \u9519\u8bef\u5220\u9664\u540e，<\/p>\n \u73b0\u5728\u67e5\u627e33\u4f1a\u51fa\u73b0\u95ee\u9898！<\/p>\n \u67e5\u627e\u7a0b\u5e8f\u5148\u68c0\u67e5\u4f4d\u7f6e3，\u53d1\u73b0\u5b83\u662f\u7a7a\u7684，\u5c31\u53ef\u80fd\u8ba4\u4e3a33\u6839\u672c\u4e0d\u5b58\u5728，\u4e8e\u662f\u505c\u6b62\u67e5\u627e\u3002\u4f4633\u5b9e\u9645\u4e0a\u8fd8\u5728\u4f4d\u7f6e4\u3002<\/p>\n \u8fd9\u5c31\u662f\u9519\u8bef\u7684\u5730\u65b9\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172521-6ac28c01dd73c.png\") <\/h3>\n
\n\u7b2c3\u9898：\u54c8\u592b\u66fc\u6811\u4e2d，\u51fa\u73b0\u6b21\u6570\u66f4\u591a\u7684\u53f6\u5b50\u7ed3\u70b9，\u5176\u6df1\u5ea6\u603b\u662f\u66f4\u5c0f<\/h3>\n
\u274c\ufe0f \u9519\u8bef<\/p>\n \u8fd9\u9053\u9898\u8003\u67e5\u54c8\u592b\u66fc\u6811，\u4e5f\u662f\u4e03\u7ea7\u4e2d\u975e\u5e38\u503c\u5f97\u638c\u63e1\u7684\u77e5\u8bc6\u70b9\u3002<\/p>\n
\n\u7b2c\u4e00\u6b65：\u5148\u8ba4\u8bc6\u54c8\u592b\u66fc\u6811<\/h4>\n\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u6587\u5b57\u538b\u7f29\u4efb\u52a1\u3002<\/p>\n \u73b0\u5728\u6709\u56db\u4e2a\u5b57\u6bcd，\u5b83\u4eec\u51fa\u73b0\u7684\u6b21\u6570\u4e0d\u540c：<\/p>\n \n\u5b57\u6bcd\u51fa\u73b0\u6b21\u6570<\/tr>\n \n\n| A<\/td>\n | 40<\/td>\n<\/tr>\n | \n| B<\/td>\n | 30<\/td>\n<\/tr>\n | \n| C<\/td>\n | 20<\/td>\n<\/tr>\n | \n| D<\/td>\n | 10<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u5982\u679c\u67d0\u4e2a\u5b57\u6bcd\u51fa\u73b0\u5f97\u7279\u522b\u9891\u7e41，\u6211\u4eec\u5e0c\u671b\u7ed9\u5b83\u5b89\u6392\u6bd4\u8f83\u77ed\u7684\u7f16\u7801\u3002<\/p>\n \u5982\u679c\u67d0\u4e2a\u5b57\u6bcd\u5f88\u5c11\u51fa\u73b0，\u5c31\u53ef\u4ee5\u7ed9\u5b83\u5b89\u6392\u7a0d\u957f\u7684\u7f16\u7801\u3002<\/p>\n \u8fd9\u6837\u6574\u4f53\u7f16\u7801\u957f\u5ea6\u5c31\u80fd\u5c3d\u91cf\u77ed\u3002<\/p>\n \u8fd9\u5c31\u662f\u54c8\u592b\u66fc\u7f16\u7801\u7684\u6838\u5fc3\u601d\u60f3\u3002<\/p>\n
\n\u7b2c\u4e8c\u6b65：\u54c8\u592b\u66fc\u6811\u600e\u4e48\u5efa\u7acb？<\/h4>\n\u54c8\u592b\u66fc\u6811\u7684\u5efa\u6811\u65b9\u6cd5\u662f：<\/p>\n \u6bcf\u6b21\u9009\u51fa\u6743\u503c\u6700\u5c0f\u7684\u4e24\u4e2a\u7ed3\u70b9，\u5408\u5e76\u6210\u4e00\u4e2a\u65b0\u7ed3\u70b9\u3002<\/p>\n \u5bf9\u4e8e\u4e0a\u9762\u7684\u4f8b\u5b50：<\/p>\n \n- \n
\u7b2c\u4e00\u6b21：10\u548c20\u5408\u5e76，\u5f97\u523030\u3002<\/p>\n<\/li>\n - \n
\u7b2c\u4e8c\u6b21：30\u548c30\u5408\u5e76，\u5f97\u523060\u3002<\/p>\n<\/li>\n - \n
\u7b2c\u4e09\u6b21：40\u548c60\u5408\u5e76，\u5f97\u5230100\u3002<\/p>\n<\/li>\n<\/ul>\n \u53ef\u4ee5\u753b\u6210\u4e00\u68f5\u6811：<\/p>\n<\/p>\n ![\"\u6570\u636e\u7ed3\u6784\u56fe\u6587\u89e3\u6790\u4e4b\uff1a\u54c8\u592b\u66fc\u6811\u4e0e\u54c8\u592b\u66fc\u7f16\u7801\u8be6\u89e3\u53caC++\u6a21\u677f\u5b9e\u73b0](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172521-6ac28c01f2f3c.jpg\") <\/p>\n
\n\u7b2c\u4e09\u6b65：\u51fa\u73b0\u6b21\u6570\u8d8a\u591a，\u6df1\u5ea6\u4e00\u5b9a\u8d8a\u5c0f\u5417？<\/h4>\n\u9898\u76ee\u4e2d\u6700\u5173\u952e\u7684\u662f\u4e24\u4e2a\u5b57：<\/p>\n \u603b\u662f\u3002<\/p>\n \u54c8\u592b\u66fc\u6811\u7684\u76ee\u6807\u662f\u8ba9\u51fa\u73b0\u9891\u7387\u9ad8\u7684\u5b57\u7b26\u5c3d\u53ef\u80fd\u4f7f\u7528\u8f83\u77ed\u7684\u7f16\u7801，\u4f46\u4e0d\u80fd\u56e0\u6b64\u7b80\u5355\u5730\u8bf4\u6bcf\u4e2a\u9891\u7387\u66f4\u9ad8\u7684\u53f6\u5b50\u7ed3\u70b9\u90fd\u5fc5\u7136\u6bd4\u5176\u4ed6\u53f6\u5b50\u7ed3\u70b9\u6d45\u3002<\/p>\n \u4e3e\u4e00\u4e2a\u7279\u6b8a\u60c5\u51b5：<\/p>\n \u5047\u8bbe\u53ea\u6709\u4e24\u4e2a\u5b57\u7b26：<\/p>\n \n\u5b57\u6bcd\u51fa\u73b0\u6b21\u6570<\/tr>\n \n\n| A<\/td>\n | 5<\/td>\n<\/tr>\n | \n| B<\/td>\n | 6<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u90a3\u4e48\u5efa\u7acb\u51fa\u6765\u7684\u54c8\u592b\u66fc\u6811\u662f：<\/p>\n 11
\n \/ \\\\
\n A B<\/p>\n A\u548cB\u7684\u6df1\u5ea6\u90fd\u662f1\u3002<\/p>\n \u5b83\u4eec\u51fa\u73b0\u6b21\u6570\u4e0d\u540c，\u4f46\u662f\u6df1\u5ea6\u76f8\u540c\u3002<\/p>\n \u6240\u4ee5，\u4e0d\u80fd\u628a\u201c\u9891\u7387\u8d8a\u9ad8，\u6df1\u5ea6\u603b\u662f\u4e25\u683c\u66f4\u5c0f\u201d\u5f53\u6210\u7edd\u5bf9\u89c4\u5f8b\u3002<\/p>\n \u672c\u9898\u7ed3\u8bba：\u9519\u8bef\u274c\ufe0f\u3002<\/p>\n
\n\u7b2c\u56db\u6b65：\u771f\u6b63\u9700\u8981\u8bb0\u4f4f\u4ec0\u4e48？<\/h4>\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172522-6ac28c0212f6b.png\") <\/p>\n
\n\u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n \u54c8\u592b\u66fc\u6811，\u627e\u6700\u5c0f；\u4e24\u4e2a\u5408\u5e76，\u518d\u627e\u6700\u5c0f；\u76ee\u6807\u662f\u8ba9WPL\u6700\u5c0f\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172522-6ac28c022350c.png\") <\/h3>\n\u7b2c4\u9898：\u6709\u5411\u56fe\u4e2d，\u6240\u6709\u9876\u70b9\u7684\u5165\u5ea6\u4e4b\u548c\u7b49\u4e8e\u6240\u6709\u9876\u70b9\u7684\u51fa\u5ea6\u4e4b\u548c<\/h3>\n
\u2705\ufe0f \u6b63\u786e<\/p>\n \u8fd9\u9053\u9898\u8003\u67e5\u56fe\u8bba\u4e2d\u7684\u5165\u5ea6\u548c\u51fa\u5ea6\u3002<\/p>\n
\n\u7b2c\u4e00\u6b65：\u4ec0\u4e48\u662f\u6709\u5411\u56fe？<\/h4>\n\u6709\u5411\u56fe\u53ef\u4ee5\u7406\u89e3\u6210\u4e00\u4e2a\u5355\u5411\u9053\u8def\u7f51\u7edc\u3002<\/p>\n \u4f8b\u5982：<\/p>\n A —-> B
\n \\\\ |
\n \\\\ v
\n —> C<\/p>\n \u7bad\u5934\u8868\u793a\u9053\u8def\u53ea\u80fd\u671d\u4e00\u4e2a\u65b9\u5411\u8d70\u3002<\/p>\n
\n\u7b2c\u4e8c\u6b65：\u4ec0\u4e48\u662f\u5165\u5ea6\u548c\u51fa\u5ea6？<\/h4>\n\u5bf9\u4e8e\u4e00\u4e2a\u9876\u70b9：<\/p>\n \n- \n
\u5165\u5ea6：\u6709\u591a\u5c11\u6761\u8fb9\u6307\u5411\u5b83\u3002<\/p>\n<\/li>\n - \n
\u51fa\u5ea6：\u6709\u591a\u5c11\u6761\u8fb9\u4ece\u5b83\u51fa\u53d1\u3002<\/p>\n<\/li>\n<\/ul>\n \u4f8b\u5982：<\/p>\n A —-> B
\n \\\\ |
\n \\\\ v
\n —> C<\/p>\n \u6211\u4eec\u6570\u4e00\u4e0b：<\/p>\n \n\u9876\u70b9\u5165\u5ea6\u51fa\u5ea6<\/tr>\n \n\n| A<\/td>\n | 0<\/td>\n | 2<\/td>\n<\/tr>\n | \n| B<\/td>\n | 1<\/td>\n | 1<\/td>\n<\/tr>\n | \n| C<\/td>\n | 2<\/td>\n | 0<\/td>\n<\/tr>\n | \n| \u5408\u8ba1<\/td>\n | 3<\/td>\n | 3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\u6240\u6709\u9876\u70b9\u7684\u5165\u5ea6\u4e4b\u548c：<\/p>\n 0+1+2 = 3\u00a0<\/p>\n \u6240\u6709\u9876\u70b9\u7684\u51fa\u5ea6\u4e4b\u548c：<\/p>\n 2+1+0 = 3<\/p>\n \u4e24\u8005\u76f8\u7b49！<\/p>\n
\n\u7b2c\u4e09\u6b65：\u4e3a\u4ec0\u4e48\u4e00\u5b9a\u76f8\u7b49？<\/h4>\n\u6211\u4eec\u6362\u4e00\u79cd\u601d\u8003\u65b9\u5f0f\u3002<\/p>\n \u5047\u8bbe\u6574\u4e2a\u56fe\u670910\u6761\u6709\u5411\u8fb9\u3002<\/p>\n \u6bcf\u4e00\u6761\u6709\u5411\u8fb9：<\/p>\n \n- \n
\u4e00\u5b9a\u4ece\u4e00\u4e2a\u9876\u70b9\u51fa\u53d1，\u6240\u4ee5\u8d21\u732e1\u6b21\u51fa\u5ea6\u3002<\/p>\n<\/li>\n - \n
\u4e00\u5b9a\u6307\u5411\u53e6\u4e00\u4e2a\u9876\u70b9，\u6240\u4ee5\u8d21\u732e1\u6b21\u5165\u5ea6\u3002<\/p>\n<\/li>\n<\/ul>\n \u56e0\u6b64：<\/p>\n \u6bcf\u6761\u8fb9\u90fd\u7ed9\u51fa\u5ea6\u603b\u548c\u8d21\u732e1，\u4e5f\u7ed9\u5165\u5ea6\u603b\u548c\u8d21\u732e1\u3002<\/p>\n \u5982\u679c\u56fe\u4e2d\u6709 m\u00a0\u00a0\u6761\u8fb9，\u90a3\u4e48：<\/p>\n \u2211\u5165\u5ea6 = m\u00a0<\/p>\n \u2211\u51fa\u5ea6 = m<\/p>\n \u6240\u4ee5：<\/p>\n \u2211\u5165\u5ea6 = \u2211\u51fa\u5ea6<\/p>\n
\n\u7b2c\u56db\u6b65：\u4e3e\u4e00\u53cd\u4e09<\/h4>\n\u6ce8\u610f，\u8fd9\u4e2a\u7ed3\u8bba\u5bf9\u6709\u5411\u56fe\u6210\u7acb\u3002<\/p>\n \u5bf9\u4e8e\u65e0\u5411\u56fe，\u6bcf\u6761\u8fb9\u8fde\u63a5\u4e24\u4e2a\u9876\u70b9，\u5bf9\u603b\u5ea6\u6570\u8d21\u732e2，\u56e0\u6b64：<\/p>\n \u2211\u5ea6\u6570 = 2m<\/p>\n \u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n \u6709\u5411\u56fe\u4e2d，\u5165\u5ea6\u603b\u548c\u7b49\u4e8e\u51fa\u5ea6\u603b\u548c；\u65e0\u5411\u56fe\u4e2d，\u6240\u6709\u5ea6\u6570\u52a0\u8d77\u6765\u7b49\u4e8e\u8fb9\u6570\u7684\u4e24\u500d\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172522-6ac28c0235c3e.png\") <\/h3>\n
\n\u7b2c5\u9898：BFS\u4f7f\u7528\u961f\u5217，DFS\u4f7f\u7528\u6808\u6216\u9012\u5f52<\/h3>\n
\u2705\ufe0f\u6b63\u786e<\/p>\n \u8fd9\u9053\u9898\u8003\u67e5\u4e86\u56fe\u8bba\u4e2d\u4e24\u79cd\u7ecf\u5178\u641c\u7d22\u7b97\u6cd5\u3002<\/p>\n
\n\u7b2c\u4e00\u6b65：\u4ec0\u4e48\u662fBFS？<\/h4>\nBFS，\u5168\u79f0：<\/p>\n Breadth First Search<\/p>\n \u4e2d\u6587\u53eb\u4f5c：\u5e7f\u5ea6\u4f18\u5148\u641c\u7d22\u3002<\/p>\n
\n\u6211\u4eec\u53ef\u4ee5\u628a\u5b83\u60f3\u8c61\u6210\u4e00\u5757\u77f3\u5934\u6254\u8fdb\u6c34\u6c60\u91cc\u3002<\/p>\n \u6c34\u6ce2\u4ece\u4e2d\u5fc3\u5411\u56db\u5468\u6269\u6563：<\/p>\n \n- \n
\u7b2c\u4e00\u5708：\u8ddd\u79bb\u8d77\u70b91\u6b65\u7684\u70b9\u3002<\/p>\n<\/li>\n - \n
\u7b2c\u4e8c\u5708：\u8ddd\u79bb\u8d77\u70b92\u6b65\u7684\u70b9\u3002<\/p>\n<\/li>\n - \n
\u7b2c\u4e09\u5708：\u8ddd\u79bb\u8d77\u70b93\u6b65\u7684\u70b9\u3002<\/p>\n<\/li>\n<\/ul>\n \u4e00\u5c42\u4e00\u5c42\u5411\u5916\u6269\u5c55\u3002<\/p>\n
\n![\"BFS](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172522-6ac28c024a787.jpg\") <\/p>\n
\nBFS\u7684\u7279\u70b9\u662f：<\/p>\n \u5148\u53d1\u73b0\u7684\u70b9，\u5148\u5904\u7406\u3002<\/p>\n \u8fd9\u548c\u6392\u961f\u4e70\u7968\u975e\u5e38\u76f8\u4f3c\u3002<\/p>\n \u56e0\u6b64，BFS\u901a\u5e38\u4f7f\u7528 queue \u961f\u5217\u3002<\/p>\n
\n\u53c2\u8003\u4ee3\u7801：<\/p>\n #include <iostream>
\n#include <queue>
\nusing namespace std;<\/p>\n int main() {
\n queue<int> q;<\/p>\n q.push(1);
\n q.push(2);
\n q.push(3);<\/p>\n while (!q.empty()) {
\n int x = q.front();
\n q.pop();<\/p>\n cout << x << " ";
\n }<\/p>\n return 0;
\n}<\/p>\n \u8f93\u51fa：<\/p>\n 1 2 3<\/p>\n \u961f\u5217\u7684\u7279\u70b9\u662f：<\/p>\n \u5148\u8fdb\u5148\u51fa（FIFO）\u3002<\/p>\n
\n\u7b2c\u4e8c\u6b65：\u4ec0\u4e48\u662fDFS？<\/h4>\nDFS，\u5168\u79f0：<\/p>\n Depth First Search<\/p>\n \u4e2d\u6587\u53eb\u4f5c：\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u3002<\/p>\n \u53ef\u4ee5\u628a\u5b83\u60f3\u8c61\u6210\u4e00\u4e2a\u63a2\u9669\u5bb6\u8fdb\u5165\u8ff7\u5bab\u3002<\/p>\n \u63a2\u9669\u5bb6\u9047\u5230\u5c94\u8def\u53e3\u65f6：<\/p>\n - \n
\u5148\u9009\u62e9\u4e00\u6761\u8def\u3002<\/p>\n<\/li>\n - \n
\u6cbf\u7740\u8fd9\u6761\u8def\u4e00\u76f4\u5f80\u524d\u8d70\u3002<\/p>\n<\/li>\n - \n
\u8d70\u4e0d\u901a\u4e86，\u5c31\u9000\u56de\u4e0a\u4e00\u4e2a\u5c94\u8def\u53e3\u3002<\/p>\n<\/li>\n - \n
\u518d\u5c1d\u8bd5\u5176\u4ed6\u9053\u8def\u3002<\/p>\n<\/li>\n \u8fd9\u5c31\u662f\u6df1\u5ea6\u4f18\u5148\u641c\u7d22\u3002<\/p>\n
\n![\"BFS](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172522-6ac28c0294c1c.jpg\") <\/p>\n
\nDFS\u901a\u5e38\u6709\u4e24\u79cd\u5b9e\u73b0\u65b9\u5f0f：<\/p>\n \u65b9\u5f0f\u4e00：\u9012\u5f52<\/p>\n C++<\/p>\n void dfs(int x) {
\n vis[x] = 1;<\/p>\n for (int i = 0; i < n; i++) {
\n if (!vis[i] && \u6709\u8fb9) {
\n dfs(i);
\n }
\n }
\n}<\/p>\n \u9012\u5f52\u8c03\u7528\u4f1a\u4f7f\u7528\u7cfb\u7edf\u63d0\u4f9b\u7684\u8c03\u7528\u6808\u3002<\/p>\n
\n\u65b9\u5f0f\u4e8c：\u624b\u52a8\u4f7f\u7528\u6808<\/p>\n C++<\/p>\n stack<int> s;<\/p>\n s.push(1);<\/p>\n while (!s.empty()) {
\n int x = s.top();
\n s.pop();<\/p>\n \/\/ \u5904\u7406\u7ed3\u70b9x
\n}<\/p>\n \u6808\u7684\u7279\u70b9\u662f：<\/p>\n \u540e\u8fdb\u5148\u51fa（LIFO）\u3002<\/p>\n
\n\u7b2c\u4e09\u6b65：BFS\u548cDFS\u5bf9\u6bd4<\/h4>\n\n\u6bd4\u8f83\u9879\u76eeBFSDFS<\/tr>\n \n\n| \u4e2d\u6587\u540d\u79f0<\/td>\n | \u5e7f\u5ea6\u4f18\u5148\u641c\u7d22<\/td>\n | \u6df1\u5ea6\u4f18\u5148\u641c\u7d22<\/td>\n<\/tr>\n | \n| \u641c\u7d22\u65b9\u5f0f<\/td>\n | \u4e00\u5c42\u4e00\u5c42\u6269\u5c55<\/td>\n | \u4e00\u6761\u8def\u8d70\u5230\u5e95<\/td>\n<\/tr>\n | \n| \u5e38\u7528\u6570\u636e\u7ed3\u6784<\/td>\n | queue<\/td>\n | stack<\/td>\n<\/tr>\n | \n| \u9012\u5f52\u5b9e\u73b0<\/td>\n | \u901a\u5e38\u4e0d\u9700\u8981<\/td>\n | \u5f88\u5e38\u89c1<\/td>\n<\/tr>\n | \n| \u65e0\u6743\u56fe\u6700\u77ed\u8def<\/td>\n | \u53ef\u4ee5\u6c42<\/td>\n | \u901a\u5e38\u4e0d\u80fd\u76f4\u63a5\u4fdd\u8bc1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n BFS\u50cf\u6c34\u6ce2，\u961f\u5217\u6765\u5e2e\u5fd9；DFS\u50cf\u63a2\u9669，\u9012\u5f52\u6216\u6808\u767b\u573a\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172522-6ac28c02e361f.png\") <\/h3>\n
\n\u7b2c6\u9898：\u5feb\u901f\u6392\u5e8f\u7684\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u548c\u6700\u574f\u65f6\u95f4\u590d\u6742\u5ea6\u90fd\u662f O(n log n)<\/h3>\n
\u274c\ufe0f\u9519\u8bef<\/p>\n \u8fd9\u9053\u9898\u662f\u65f6\u95f4\u590d\u6742\u5ea6\u4e2d\u7684\u7ecf\u5178\u9677\u9631\u3002<\/p>\n
\n\u7b2c\u4e00\u6b65：\u5148\u8ba4\u8bc6\u5feb\u901f\u6392\u5e8f<\/h4>\n\u5feb\u901f\u6392\u5e8f\u7684\u57fa\u672c\u601d\u60f3\u662f：<\/p>\n \u627e\u4e00\u4e2a\u57fa\u51c6\u6570（pivot），\u628a\u6570\u7ec4\u5206\u6210\u4e24\u90e8\u5206：<\/p>\n \n- \n
\u4e00\u90e8\u5206\u6bd4\u57fa\u51c6\u6570\u5c0f\u3002<\/p>\n<\/li>\n - \n
\u53e6\u4e00\u90e8\u5206\u6bd4\u57fa\u51c6\u6570\u5927\u3002<\/p>\n<\/li>\n<\/ul>\n \u7136\u540e\u5bf9\u5de6\u53f3\u4e24\u90e8\u5206\u7ee7\u7eed\u8fdb\u884c\u5feb\u901f\u6392\u5e8f\u3002<\/p>\n \u4f8b\u5982：<\/p>\n 8 3 6 2 9 1 5<\/p>\n \u5047\u8bbe\u9009\u62e95\u4f5c\u4e3a\u57fa\u51c6\u6570\u3002<\/p>\n \u5206\u533a\u540e\u53ef\u4ee5\u5f97\u5230：<\/p>\n 3 2 1 | 5 | 8 6 9<\/p>\n \u63a5\u7740\u5206\u522b\u5904\u7406\u5de6\u53f3\u4e24\u8fb9\u3002<\/p>\n
\n\u7b2c\u4e8c\u6b65：\u4ec0\u4e48\u662f\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6？<\/h4>\n\u5982\u679c\u6bcf\u6b21\u5206\u533a\u90fd\u6bd4\u8f83\u5747\u5300：<\/p>\n 8\u4e2a\u6570
\n \/ \\\\
\n 4\u4e2a\u6570 3\u4e2a\u6570
\n \/ \\\\ \/ \\\\
\n 2 1 1 1<\/p>\n \u6bcf\u4e00\u5c42\u5904\u7406\u6240\u6709\u5143\u7d20，\u5927\u7ea6\u9700\u8981 O(n)\u00a0\u7684\u65f6\u95f4\u3002<\/p>\n \u800c\u6811\u7684\u5c42\u6570\u5927\u7ea6\u662f：<\/p>\n O(log\u2061n)<\/p>\n \u6240\u4ee5\u5e73\u5747\u65f6\u95f4\u590d\u6742\u5ea6\u4e3a：<\/p>\n O(nlog\u2061n)<\/p>\n
\n\u7b2c\u4e09\u6b65：\u6700\u574f\u60c5\u51b5\u662f\u4ec0\u4e48？<\/h4>\n\u5982\u679c\u6bcf\u6b21\u9009\u62e9\u7684\u57fa\u51c6\u6570\u90fd\u7279\u522b\u5dee，\u5bfc\u81f4\u4e00\u8fb9\u6709 n\u22121n-1n\u22121 \u4e2a\u6570，\u53e6\u4e00\u8fb9\u6ca1\u6709\u6570：<\/p>\n 9
\n \/
\n 8
\n \/
\n 7
\n \/
\n 6
\n \/
\n…<\/p>\n \u5c31\u50cf\u4e00\u4e2a\u6b6a\u5f97\u975e\u5e38\u5389\u5bb3\u7684\u6811\u3002<\/p>\n \u6b64\u65f6：<\/p>\n \n- \n
\u7b2c\u4e00\u6b21\u5904\u7406 nnn \u4e2a\u6570\u3002<\/p>\n<\/li>\n - \n
\u7b2c\u4e8c\u6b21\u5904\u7406 n\u22121\u4e2a\u6570\u3002<\/p>\n<\/li>\n - \n
\u7b2c\u4e09\u6b21\u5904\u7406 n\u22122\u4e2a\u6570\u3002<\/p>\n<\/li>\n<\/ul>\n \u603b\u65f6\u95f4\u5927\u7ea6\u662f：<\/p>\n n+(n\u22121)+(n\u22122)+\u22ef+1<\/p>\n \u6839\u636e\u7b49\u5dee\u6570\u5217\u6c42\u548c：<\/p>\n =n(n+1) \/ 2<\/p>\n \u56e0\u6b64：<\/p>\n O(n^2)<\/p>\n
\n\u7b2c\u56db\u6b65：\u6b63\u786e\u7ed3\u8bba<\/h4>\n\n\u60c5\u51b5\u5feb\u901f\u6392\u5e8f\u65f6\u95f4\u590d\u6742\u5ea6<\/tr>\n \n\n| \u6700\u597d\u60c5\u51b5<\/td>\n | O(nlog\u2061n)<\/td>\n<\/tr>\n | \n| \u5e73\u5747\u60c5\u51b5<\/td>\n | O(nlog\u2061n)<\/td>\n<\/tr>\n | \n| \u6700\u574f\u60c5\u51b5<\/td>\n | O(n^2)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u9898\u76ee\u628a\u5e73\u5747\u60c5\u51b5\u548c\u6700\u574f\u60c5\u51b5\u90fd\u5199\u6210\u4e86 O(nlog\u2061n)，\u6240\u4ee5\u9519\u8bef\u3002<\/p>\n
\n\u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n \u5feb\u901f\u6392\u5e8f，\u5e73\u5747\u5f88\u5feb；\u6700\u574f\u9000\u5316，\u5e73\u65b9\u7b49\u5f85\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172523-6ac28c03058a1.png\") <\/h3>\n
\n\u7b2c7\u9898：0\/1\u80cc\u5305\u4e00\u7ef4\u6570\u7ec4\u4f18\u5316\u65f6，\u5bb9\u91cf\u5e94\u8be5\u4ece\u5927\u5230\u5c0f\u679a\u4e3e<\/h3>\n
\u2705\ufe0f \u6b63\u786e<\/p>\n \u8fd9\u9053\u9898\u662f\u52a8\u6001\u89c4\u5212\u4e2d\u7684\u7ecf\u5178\u8003\u70b9\u3002<\/p>\n
\n\u7b2c\u4e00\u6b65：\u5148\u7406\u89e30\/1\u80cc\u5305<\/h4>\n\u5047\u8bbe\u6211\u4eec\u6709\u4e00\u4e2a\u80cc\u5305，\u6700\u5927\u5bb9\u91cf\u4e3a8\u3002<\/p>\n \u6709\u4e00\u4e2a\u5b9d\u7269：<\/p>\n \n- \n
\u91cd\u91cf：3<\/p>\n<\/li>\n - \n
\u4ef7\u503c：5<\/p>\n<\/li>\n<\/ul>\n \u8fd9\u4e2a\u5b9d\u7269\u53ea\u80fd\u62ff\u4e00\u6b21\u3002<\/p>\n \u6211\u4eec\u5e0c\u671b\u5728\u4e0d\u8d85\u8fc7\u80cc\u5305\u5bb9\u91cf\u7684\u524d\u63d0\u4e0b，\u83b7\u5f97\u5c3d\u53ef\u80fd\u5927\u7684\u4ef7\u503c\u3002<\/p>\n \u8fd9\u5c31\u662f0\/1\u80cc\u5305\u95ee\u9898\u3002<\/p>\n \u4e3a\u4ec0\u4e48\u53eb0\/1？<\/p>\n \u56e0\u4e3a\u6bcf\u4e2a\u7269\u54c1\u53ea\u6709\u4e24\u79cd\u9009\u62e9：<\/p>\n \n- \n
0：\u4e0d\u62ff\u3002<\/p>\n<\/li>\n - \n
1：\u62ff\u4e00\u6b21\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u7b2c\u4e8c\u6b65：\u4e8c\u7ef4DP\u600e\u4e48\u7406\u89e3？<\/h4>\n\u5047\u8bbe：<\/p>\n dp[i][c]<\/p>\n \u8868\u793a\u8003\u8651\u524d i \u4e2a\u7269\u54c1，\u80cc\u5305\u5bb9\u91cf\u4e3a c \u65f6\u7684\u6700\u5927\u4ef7\u503c\u3002<\/p>\n \u5982\u679c\u4f7f\u7528\u7b2c i \u4e2a\u7269\u54c1：<\/p>\n dp[i][c]=max(dp[i\u22121][c],dp[i\u22121][c\u2212wi\u200b]+vi\u200b)<\/p>\n \u5982\u679c\u4e0d\u4f7f\u7528：<\/p>\n dp[i][c] = dp[i\u22121][c]<\/p>\n \u8fd9\u91cc\u7684\u5173\u952e\u662f：<\/p>\n \u65e0\u8bba\u62ff\u4e0d\u62ff\u7b2ci\u4e2a\u7269\u54c1，\u90fd\u8981\u4ece\u4e0a\u4e00\u5c42\u72b6\u6001\u8f6c\u79fb\u3002<\/p>\n
\n\u7b2c\u4e09\u6b65：\u4e3a\u4ec0\u4e48\u53ef\u4ee5\u538b\u7f29\u6210\u4e00\u7ef4\u6570\u7ec4？<\/h4>\n\u6211\u4eec\u53d1\u73b0，\u8ba1\u7b97\u7b2c i \u5c42\u65f6，\u53ea\u9700\u8981\u7b2c i\u22121\u00a0\u5c42\u7684\u6570\u636e\u3002<\/p>\n \u56e0\u6b64\u53ef\u4ee5\u4f7f\u7528\u4e00\u7ef4\u6570\u7ec4：<\/p>\n C++<\/p>\n int dp[1005] = {0};<\/p>\n \u4f46\u662f，\u538b\u7f29\u540e\u6709\u4e00\u4e2a\u975e\u5e38\u91cd\u8981\u7684\u95ee\u9898：<\/p>\n \u5bb9\u91cf\u5faa\u73af\u5fc5\u987b\u4ece\u5927\u5230\u5c0f！<\/p>\n C++<\/p>\n for (int c = W; c >= w; c–) {
\n dp[c] = max(dp[c], dp[c – w] + v);
\n}<\/p>\n
\n\u7b2c\u56db\u6b65：\u4e3a\u4ec0\u4e48\u5fc5\u987b\u4ece\u5927\u5230\u5c0f？<\/h4>\n\u8fd8\u662f\u4f7f\u7528\u91cd\u91cf3\u3001\u4ef7\u503c5\u7684\u5b9d\u7269，\u80cc\u5305\u5bb9\u91cf\u4e3a8\u3002<\/p>\n \u5982\u679c\u4ece\u5927\u5230\u5c0f：<\/p>\n c = 8
\ndp[8] = max(dp[8], dp[5] + 5)<\/p>\n c = 7
\ndp[7] = max(dp[7], dp[4] + 5)<\/p>\n c = 6
\ndp[6] = max(dp[6], dp[3] + 5)<\/p>\n c = 5
\ndp[5] = max(dp[5], dp[2] + 5)<\/p>\n c = 4
\ndp[4] = max(dp[4], dp[1] + 5)<\/p>\n c = 3
\ndp[3] = max(dp[3], dp[0] + 5)<\/p>\n \u7531\u4e8e\u4ece\u5927\u5230\u5c0f\u679a\u4e3e，\u66f4\u65b0 dp[8] \u65f6，dp[5] \u8fd8\u662f\u4e0a\u4e00\u8f6e\u7684\u6570\u636e，\u6ca1\u6709\u4f7f\u7528\u5f53\u524d\u7269\u54c1\u3002<\/p>\n \u6240\u4ee5\u5f53\u524d\u7269\u54c1\u4e0d\u4f1a\u88ab\u91cd\u590d\u4f7f\u7528\u3002<\/p>\n
\n\u5982\u679c\u4ece\u5c0f\u5230\u5927\u5462？<\/p>\n C++<\/p>\n for (int c = w; c <= W; c++) {
\n dp[c] = max(dp[c], dp[c – w] + v);
\n}<\/p>\n \u5f53\u8ba1\u7b97 dp[6] \u65f6，dp[3] \u5df2\u7ecf\u88ab\u5f53\u524d\u7269\u54c1\u66f4\u65b0\u8fc7\u4e86\u3002<\/p>\n \u8fd9\u6837\u5c31\u76f8\u5f53\u4e8e\u53ef\u4ee5\u4f7f\u7528\u4e24\u6b21\u91cd\u91cf\u4e3a3\u7684\u7269\u54c1\u3002<\/p>\n \u8fd9\u5c31\u53d8\u6210\u4e86\u5b8c\u5168\u80cc\u5305\u7684\u601d\u8def，\u800c\u4e0d\u662f0\/1\u80cc\u5305\u3002<\/p>\n
\n\u7b2c\u4e94\u6b65：0\/1\u80cc\u5305\u4e0e\u5b8c\u5168\u80cc\u5305\u5bf9\u6bd4<\/h4>\n\n\u80cc\u5305\u7c7b\u578b\u7269\u54c1\u4f7f\u7528\u6b21\u6570\u4e00\u7ef4DP\u5bb9\u91cf\u65b9\u5411<\/tr>\n \n\n| 0\/1\u80cc\u5305<\/td>\n | \u6bcf\u4ef6\u6700\u591a\u4e00\u6b21<\/td>\n | \u4ece\u5927\u5230\u5c0f<\/td>\n<\/tr>\n | \n| \u5b8c\u5168\u80cc\u5305<\/td>\n | \u6bcf\u4ef6\u53ef\u4ee5\u591a\u6b21<\/td>\n | \u4ece\u5c0f\u5230\u5927<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n 0\/1\u80cc\u5305，\u53ea\u80fd\u62ff\u4e00\u6b21，\u5bb9\u91cf\u5012\u7740\u8d70；\u5b8c\u5168\u80cc\u5305，\u53ef\u4ee5\u62ff\u591a\u6b21，\u5bb9\u91cf\u6b63\u7740\u8d70\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172523-6ac28c0319ac5.png\") <\/h3>\n
\n\u7b2c8\u9898：\u90bb\u63a5\u8868\u904d\u5386\u67d0\u4e2a\u9876\u70b9\u7684\u6240\u6709\u90bb\u8fb9，\u65f6\u95f4\u4e0e\u56fe\u4e2d\u9876\u70b9\u6570\u6210\u6b63\u6bd4<\/h3>\n
\u274c\ufe0f\u9519\u8bef<\/p>\n \u8fd9\u9053\u9898\u8003\u67e5\u56fe\u7684\u5b58\u50a8\u65b9\u5f0f，\u662f\u56fe\u8bba\u4e2d\u4e00\u4e2a\u5f88\u5bb9\u6613\u6df7\u6dc6\u7684\u77e5\u8bc6\u70b9\u3002<\/p>\n
\n\u7b2c\u4e00\u6b65：\u4ec0\u4e48\u662f\u90bb\u63a5\u8868？<\/h4>\n\u5047\u8bbe\u6709\u8fd9\u6837\u4e00\u5f20\u56fe：<\/p>\n 1
\n \/ \\\\
\n 2 3
\n \\\\ \/
\n 4<\/p>\n \u6211\u4eec\u53ef\u4ee5\u7528\u90bb\u63a5\u8868\u8bb0\u5f55\u6bcf\u4e2a\u9876\u70b9\u6709\u54ea\u4e9b\u90bb\u5c45\u3002<\/p>\n \u4f8b\u5982：<\/p>\n \n\u9876\u70b9\u90bb\u63a5\u70b9<\/tr>\n \n\n| 1<\/td>\n | 2，3<\/td>\n<\/tr>\n | \n| 2<\/td>\n | 1，4<\/td>\n<\/tr>\n | \n| 3<\/td>\n | 1，4<\/td>\n<\/tr>\n | \n| 4<\/td>\n | 2，3<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u90bb\u63a5\u8868\u5c31\u50cf\u4e00\u672c\u901a\u8baf\u5f55：<\/p>\n \n- \n
\u627e\u5230\u67d0\u4e2a\u4eba\u3002<\/p>\n<\/li>\n - \n
\u67e5\u770b\u4ed6\u7684\u8054\u7cfb\u4eba\u3002<\/p>\n<\/li>\n - \n
\u4e0d\u9700\u8981\u628a\u6240\u6709\u4eba\u7684\u8054\u7cfb\u4eba\u5168\u90e8\u68c0\u67e5\u4e00\u904d\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u7b2c\u4e8c\u6b65：\u904d\u5386\u67d0\u4e2a\u9876\u70b9\u7684\u90bb\u8fb9\u9700\u8981\u591a\u5c11\u65f6\u95f4？<\/h4>\n\u5047\u8bbe\u6211\u4eec\u8981\u904d\u5386\u9876\u70b91\u7684\u6240\u6709\u90bb\u8fb9\u3002<\/p>\n \u9876\u70b91\u53ea\u6709\u4e24\u4e2a\u90bb\u5c45：<\/p>\n 1 \u2192 2
\n1 \u2192 3<\/p>\n \u53ea\u9700\u8981\u8bbf\u95ee\u8fd9\u4e24\u4e2a\u90bb\u63a5\u70b9\u3002<\/p>\n \u5982\u679c\u4e00\u4e2a\u9876\u70b9\u67093\u6761\u90bb\u8fb9，\u90a3\u4e48\u5c31\u9700\u8981\u904d\u53863\u6761\u90bb\u8fb9\u3002<\/p>\n \u6240\u4ee5，\u904d\u5386\u9876\u70b9 u\u00a0\u7684\u90bb\u63a5\u8868，\u65f6\u95f4\u590d\u6742\u5ea6\u662f：<\/p>\n ![\"\\\\boxed{O(deg(u))}\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172523-6ac28c032d7d7.png\") <\/p>\n
\u5176\u4e2d：<\/p>\n deg(u)<\/p>\n \u8868\u793a\u9876\u70b9 u \u7684\u5ea6\u6570（\u6709\u5411\u56fe\u4e2d\u8981\u6839\u636e\u5177\u4f53\u904d\u5386\u7684\u662f\u5165\u8fb9\u8fd8\u662f\u51fa\u8fb9\u6765\u7406\u89e3）\u3002<\/p>\n
\n\u7b2c\u4e09\u6b65：\u90a3\u4ec0\u4e48\u65f6\u5019\u662f O(n)？<\/h4>\n\u5047\u8bbe\u56fe\u6709 n \u4e2a\u9876\u70b9\u3002<\/p>\n \u5982\u679c\u67d0\u4e2a\u9876\u70b9\u8fde\u63a5\u4e86\u6240\u6709\u5176\u4ed6\u9876\u70b9，\u90a3\u4e48\u5b83\u7684\u90bb\u8fb9\u6570\u91cf\u6700\u591a\u53ef\u4ee5\u8fbe\u5230 n\u22121 \u3002<\/p>\n \u8fd9\u65f6\u904d\u5386\u5b83\u7684\u90bb\u8fb9\u624d\u662f：<\/p>\n O(n)\u00a0<\/p>\n \u4f46\u662f，\u5e76\u4e0d\u662f\u6240\u6709\u9876\u70b9\u90fd\u8fde\u63a5\u4e86\u8fd9\u4e48\u591a\u70b9\u3002<\/p>\n \u4f8b\u5982：<\/p>\n 1 \u2192 2<\/p>\n 3 \u2192 4<\/p>\n 5 \u2192 6<\/p>\n \u56fe\u4e2d\u67096\u4e2a\u9876\u70b9，\u4f46\u6bcf\u4e2a\u9876\u70b9\u6700\u591a\u53ea\u67091\u6761\u51fa\u8fb9\u3002<\/p>\n \u904d\u5386\u67d0\u4e2a\u9876\u70b9\u7684\u90bb\u8fb9，\u53ea\u9700\u8981\u5e38\u6570\u7ea7\u522b\u7684\u65f6\u95f4\u3002<\/p>\n
\n\u7b2c\u56db\u6b65：\u8bb0\u4f4f\u4e09\u79cd\u5e38\u89c1\u590d\u6742\u5ea6<\/h4>\n\n\u64cd\u4f5c\u90bb\u63a5\u8868\u7684\u65f6\u95f4\u590d\u6742\u5ea6<\/tr>\n \n\n| \u904d\u5386\u9876\u70b9u\u7684\u6240\u6709\u90bb\u8fb9<\/td>\n | O(deg(u))<\/td>\n<\/tr>\n | \n| \u904d\u5386\u6240\u6709\u9876\u70b9\u7684\u90bb\u8fb9<\/td>\n | O(n+m）<\/td>\n<\/tr>\n | \n| \u67e5\u627e\u4e24\u4e2a\u6307\u5b9a\u9876\u70b9\u4e4b\u95f4\u662f\u5426\u6709\u8fb9<\/td>\n | \u4e00\u822c\u9700\u8981\u904d\u5386\u90bb\u63a5\u8868，\u6700\u574f\u53ef\u8fbe O(deg(u))<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u8fd9\u91cc：<\/p>\n \n- \n
n ：\u9876\u70b9\u6570\u91cf\u3002<\/p>\n<\/li>\n - \n
m ：\u8fb9\u7684\u6570\u91cf\u3002<\/p>\n<\/li>\n<\/ul>\n \u56e0\u6b64，\u9898\u76ee\u8bf4\u904d\u5386\u67d0\u4e2a\u9876\u70b9\u7684\u6240\u6709\u90bb\u8fb9，\u65f6\u95f4\u4e0e\u9876\u70b9\u603b\u6570\u6210\u6b63\u6bd4，\u5e76\u4e0d\u603b\u662f\u6210\u7acb\u3002<\/p>\n \u672c\u9898\u7ed3\u8bba：\u9519\u8bef\u274c\ufe0f\u3002<\/p>\n
\n\u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n \u90bb\u63a5\u8868，\u627e\u90bb\u5c45；\u904d\u5386\u591a\u5c11\u6761\u8fb9，\u5c31\u770b\u8fd9\u4e2a\u70b9\u6709\u591a\u5c11\u90bb\u8fb9\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172523-6ac28c0332a69.png\") <\/h3>\n
\n\u7b2c9\u9898：\u5b8c\u5168\u4e8c\u53c9\u6811\u7684\u7236\u7ed3\u70b9\u7f16\u53f7<\/h3>\n
\u2705\ufe0f\u6b63\u786e<\/p>\n \u9898\u76ee：<\/p>\n \u5728\u6309\u5c42\u5e8f\u4ece1\u5f00\u59cb\u5bf9\u7ed3\u70b9\u7f16\u53f7\u7684\u5b8c\u5168\u4e8c\u53c9\u6811\u4e2d，\u7f16\u53f7\u4e3a i (i >1)\u00a0\u7684\u7ed3\u70b9\u7684\u7236\u7ed3\u70b9\u7f16\u53f7\u4e3a：<\/p>\n \u230ai\u200b \/ 2\u230b\u00a0<\/p>\n
\n\u7b2c\u4e00\u6b65：\u4ec0\u4e48\u662f\u5b8c\u5168\u4e8c\u53c9\u6811？<\/h4>\n\u5b8c\u5168\u4e8c\u53c9\u6811\u5c31\u662f：<\/p>\n \n- \n
\u9664\u4e86\u6700\u540e\u4e00\u5c42，\u5176\u4ed6\u5c42\u90fd\u5fc5\u987b\u586b\u6ee1\u3002<\/p>\n<\/li>\n - \n
\u6700\u540e\u4e00\u5c42\u7684\u7ed3\u70b9\u4ece\u5de6\u5411\u53f3\u8fde\u7eed\u6392\u5217\u3002<\/p>\n<\/li>\n<\/ul>\n \u4f8b\u5982：<\/p>\n<\/p>\n ![\"Binary](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172523-6ac28c0345b27.jpg\") <\/p>\n
\n\u7b2c\u4e8c\u6b65：\u7ed9\u7ed3\u70b9\u7f16\u53f7<\/h4>\n\u6309\u7167\u4ece\u4e0a\u5230\u4e0b\u3001\u4ece\u5de6\u5230\u53f3\u7684\u987a\u5e8f\u7f16\u53f7：<\/p>\n 1
\n \/ \\\\
\n 2 3
\n \/ \\\\ \/ \\\\
\n 4 5 6 7<\/p>\n \u89c2\u5bdf\u4e00\u4e0b：<\/p>\n \n- \n
\u7ed3\u70b91\u662f\u6839\u7ed3\u70b9\u3002<\/p>\n<\/li>\n - \n
\u7ed3\u70b92\u548c3\u7684\u7236\u7ed3\u70b9\u662f1\u3002<\/p>\n<\/li>\n - \n
\u7ed3\u70b94\u548c5\u7684\u7236\u7ed3\u70b9\u662f2\u3002<\/p>\n<\/li>\n - \n
\u7ed3\u70b96\u548c7\u7684\u7236\u7ed3\u70b9\u662f3\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u6211\u4eec\u53d1\u73b0：<\/p>\n \u7ed3\u70b9\u7f16\u53f7 \u7236\u7ed3\u70b9\u7f16\u53f7<\/p>\n 2 1
\n3 1
\n4 2
\n5 2
\n6 3
\n7 3<\/p>\n
\n\u7b2c\u4e09\u6b65：\u627e\u89c4\u5f8b<\/h4>\n\u7ed3\u70b92：<\/p>\n 2\/2 = 1<\/p>\n \u7ed3\u70b93：<\/p>\n 3\/2 =1.5<\/p>\n \u6574\u6570\u9664\u6cd5\u7ed3\u679c\u4e3a1\u3002<\/p>\n \u7ed3\u70b94：<\/p>\n 4\/2 = 2<\/p>\n \u7ed3\u70b95：<\/p>\n 5\/2 = 2.5<\/p>\n \u6574\u6570\u9664\u6cd5\u7ed3\u679c\u4e3a2\u3002<\/p>\n \u7ed3\u70b96：<\/p>\n 6\/2 = 3<\/p>\n \u7ed3\u70b97：<\/p>\n 7\/2 = 3.5<\/p>\n \u6574\u6570\u9664\u6cd5\u7ed3\u679c\u4e3a3\u3002<\/p>\n \u6240\u4ee5：<\/p>\n \u7236\u7ed3\u70b9\u7f16\u53f7 = i \/ 2<\/p>\n \u5728C++\u4e2d，\u4e24\u4e2a\u6574\u6570\u76f8\u9664\u4f1a\u81ea\u52a8\u820d\u53bb\u5c0f\u6570\u90e8\u5206，\u56e0\u6b64\u53ef\u4ee5\u76f4\u63a5\u5199：<\/p>\n C++<\/p>\n int fa = i \/ 2;<\/p>\n
\n\u7b2c\u56db\u6b65：\u518d\u8bb0\u4f4f\u4e24\u4e2a\u91cd\u8981\u516c\u5f0f<\/h4>\n\u5982\u679c\u4e00\u4e2a\u7ed3\u70b9\u7684\u7f16\u53f7\u662f iii，\u90a3\u4e48：<\/p>\n \n\u7ed3\u70b9\u7f16\u53f7\u516c\u5f0f<\/tr>\n \n\n| \u7236\u7ed3\u70b9<\/td>\n | i \/ 2<\/td>\n<\/tr>\n | \n| \u5de6\u5b69\u5b50<\/td>\n | 2 * i<\/td>\n<\/tr>\n | \n| \u53f3\u5b69\u5b50<\/td>\n | 2* i + 1<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n \u4f8b\u5982：<\/p>\n C++<\/p>\n int fa = i \/ 2;
\nint left = 2 * i;
\nint right = 2 * i + 1;<\/p>\n \u6ce8\u610f：\u8fd9\u4e9b\u516c\u5f0f\u9002\u7528\u4e8e\u4ece1\u5f00\u59cb\u7f16\u53f7\u7684\u5b8c\u5168\u4e8c\u53c9\u6811\u6570\u7ec4\u8868\u793a\u3002<\/p>\n
\n\u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n \u7236\u4eb2\u9664\u4ee52，\u5de6\u5b69\u5b50\u4e58\u4ee52，\u53f3\u5b69\u5b50\u4e58\u4ee52\u518d\u52a01\u3002<\/p>\n
\n![\"\"](\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/10\/20261004172523-6ac28c03a4556.png\") <\/h3>\n
\n\u7b2c10\u9898：\u6570\u7ec4\u540d arr \u548c &arr[0] \u603b\u662f\u7b49\u4ef7<\/h3>\n
\u9519\u8bef<\/p>\n \u8fd9\u9053\u9898\u8003\u67e5\u6570\u7ec4\u548c\u6307\u9488\u7684\u5173\u7cfb，\u662fC++\u4e2d\u975e\u5e38\u5bb9\u6613\u51fa\u9519\u7684\u5730\u65b9\u3002<\/p>\n
\n\u7b2c\u4e00\u6b65：\u5148\u770b\u4ee3\u7801<\/h4>\nC++<\/p>\n int arr[10];<\/p>\n \u8fd9\u6bb5\u4ee3\u7801\u5b9a\u4e49\u4e86\u4e00\u4e2a\u6570\u7ec4：<\/p>\n \n- \n
\u6570\u7ec4\u540d\u79f0：arr<\/p>\n<\/li>\n - \n
\u6570\u7ec4\u957f\u5ea6：10<\/p>\n<\/li>\n - \n
\u6bcf\u4e2a\u5143\u7d20\u7c7b\u578b：int<\/p>\n<\/li>\n<\/ul>\n \u6570\u7ec4\u5143\u7d20\u5206\u522b\u662f：<\/p>\n arr[0]
\narr[1]
\narr[2]
\narr[3]
\n…
\narr[9]<\/p>\n
\n\u7b2c\u4e8c\u6b65：\u4ec0\u4e48\u662f &arr[0] ？<\/h4>\narr[0] \u8868\u793a\u6570\u7ec4\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20\u3002<\/p>\n &arr[0] \u8868\u793a\u7b2c\u4e00\u4e2a\u5143\u7d20\u7684\u5730\u5740\u3002<\/p>\n \u4f8b\u5982：<\/p>\n C++<\/p>\n int arr[5] = {10, 20, 30, 40, 50};<\/p>\n cout << &arr[0] << endl;<\/p>\n \u8fd9\u4f1a\u8f93\u51fa\u7b2c\u4e00\u4e2a\u5143\u7d20\u7684\u5185\u5b58\u5730\u5740\u3002<\/p>\n
\n\u7b2c\u4e09\u6b65：\u6570\u7ec4\u540d arr \u53c8\u662f\u4ec0\u4e48？<\/h4>\n\u5728\u5927\u591a\u6570\u8868\u8fbe\u5f0f\u4e2d，\u6570\u7ec4\u540d arr \u4f1a\u81ea\u52a8\u8f6c\u6362\u4e3a\u6307\u5411\u7b2c\u4e00\u4e2a\u5143\u7d20\u7684\u6307\u9488\u3002<\/p>\n \u6240\u4ee5：<\/p>\n C++<\/p>\n arr<\/p>\n \u548c：<\/p>\n C++<\/p>\n &arr[0]<\/p>\n \u5728\u5927\u591a\u6570\u666e\u901a\u8868\u8fbe\u5f0f\u4e2d，\u786e\u5b9e\u6307\u5411\u540c\u4e00\u4e2a\u4f4d\u7f6e\u3002<\/p>\n
\n\u4f8b\u5982：<\/p>\n C++<\/p>\n int arr[5] = {10, 20, 30, 40, 50};<\/p>\n cout << *arr << endl;
\ncout << *(&arr[0]) << endl;<\/p>\n \u4e24\u884c\u8f93\u51fa\u90fd\u662f：<\/p>\n 10
\n10<\/p>\n \u90a3\u4e48\u4e3a\u4ec0\u4e48\u672c\u9898\u8fd8\u662f\u9519\u7684？<\/p>\n \u5173\u952e\u5c31\u5728\u4e8e\u9898\u76ee\u8bf4\u7684\u662f：<\/p>\n \u603b\u662f\u7b49\u4ef7\u3002<\/p>\n
\n\u7b2c\u56db\u6b65：\u6700\u91cd\u8981\u7684\u9677\u9631\u2014\u2014sizeof<\/h4>\n\u770b\u4e0b\u9762\u7684\u7a0b\u5e8f：<\/p>\n C++<\/p>\n #include <iostream>
\nusing namespace std;<\/p>\n int main() {
\n int arr[10];<\/p>\n cout << sizeof(arr) << endl;
\n cout << sizeof(&arr[0]) << endl;<\/p>\n return 0;
\n}<\/p>\n \u5047\u8bbe\u4e00\u4e2a int \u53604\u4e2a\u5b57\u8282，\u4e00\u4e2a\u6307\u9488\u53608\u4e2a\u5b57\u8282\u3002<\/p>\n \u90a3\u4e48：<\/p>\n C++<\/p>\n sizeof(arr)<\/p>\n \u8ba1\u7b97\u7684\u662f\u6574\u4e2a\u6570\u7ec4\u5360\u7528\u7684\u5185\u5b58：<\/p>\n 10\u00d74 = 40\u00a0<\/p>\n \u800c：<\/p>\n C++<\/p>\n sizeof(&arr[0])<\/p>\n \u8ba1\u7b97\u7684\u662f\u4e00\u4e2a\u6307\u9488\u5360\u7528\u7684\u5185\u5b58：<\/p>\n 8<\/p>\n \u4e8e\u662f\u8f93\u51fa：<\/p>\n 40
\n8<\/p>\n \u4e24\u8005\u663e\u7136\u4e0d\u76f8\u7b49！<\/p>\n
\n\u4e24\u4e2a\u8868\u8fbe\u5f0f\u7684\u533a\u522b<\/p>\n sizeof(arr):<\/p>\n \u8ba1\u7b97\u6574\u4e2a\u6570\u7ec4\u7684\u5927\u5c0f：10\u4e2aint\u5143\u7d20\u3002<\/p>\n sizeof(&arr00)<\/p>\n \u53ea\u8ba1\u7b97\u4e00\u4e2a\u5730\u5740\u6240\u5360\u7684\u5927\u5c0f\u3002<\/p>\n \u672c\u9898\u7ed3\u8bba：\u9519\u8bef \u274c\ufe0f\u3002<\/p>\n
\n\u8bb0\u5fc6\u53e3\u8bc0：<\/p>\n \u6570\u7ec4\u540d\u901a\u5e38\u4ee3\u8868\u9996\u5143\u7d20\u5730\u5740，\u4f46\u6570\u7ec4\u540d\u4e0d\u7b49\u4e8e\u666e\u901a\u6307\u9488\u53d8\u91cf；\u7279\u522b\u6ce8\u610f sizeof \u548c &arr！<\/p>\n
\n\u4e8c\u300110\u9053\u5224\u65ad\u9898\u7684\u6838\u5fc3\u77e5\u8bc6\u70b9\u603b\u7ed3<\/h2>\n\u8fd910\u9053\u9898\u6d89\u53ca\u7684\u77e5\u8bc6\u70b9，\u6211\u4eec\u53ef\u4ee5\u628a\u5b83\u4eec\u6574\u7406\u6210\u4e00\u5f20\u590d\u4e60\u8868\u3002<\/p>\n \n\u77e5\u8bc6\u70b9\u5fc5\u987b\u638c\u63e1\u7684\u7ed3\u8bba<\/tr>\n \n\n| \u6570\u5b66\u51fd\u6570<\/td>\n | exp(0)=1.0，\u8fd4\u56de\u7c7b\u578b\u4e3a double<\/td>\n<\/tr>\n | \n| \u54c8\u5e0c\u8868<\/td>\n | \u5f00\u653e\u5b9a\u5740\u6cd5\u5220\u9664\u5143\u7d20，\u4e0d\u80fd\u968f\u610f\u7f6e\u7a7a<\/td>\n<\/tr>\n | \n| \u54c8\u592b\u66fc\u6811<\/td>\n | \u6bcf\u6b21\u5408\u5e76\u4e24\u4e2a\u6700\u5c0f\u6743\u503c，\u76ee\u6807\u662fWPL\u6700\u5c0f<\/td>\n<\/tr>\n | \n| \u6709\u5411\u56fe<\/td>\n | \u5165\u5ea6\u603b\u548c\u7b49\u4e8e\u51fa\u5ea6\u603b\u548c<\/td>\n<\/tr>\n | \n| BFS<\/td>\n | \u901a\u5e38\u4f7f\u7528\u961f\u5217<\/td>\n<\/tr>\n | \n| DFS<\/td>\n | \u901a\u5e38\u4f7f\u7528\u9012\u5f52\u6216\u6808<\/td>\n<\/tr>\n | \n| \u5feb\u901f\u6392\u5e8f<\/td>\n | \u5e73\u5747 O(nlog\u2061n)，\u6700\u574f O(n^2)<\/td>\n<\/tr>\n | \n| 0\/1\u80cc\u5305<\/td>\n | \u4e00\u7ef4DP\u5bb9\u91cf\u4ece\u5927\u5230\u5c0f\u679a\u4e3e<\/td>\n<\/tr>\n | \n| \u90bb\u63a5\u8868<\/td>\n | \u904d\u5386\u9876\u70b9u\u7684\u90bb\u8fb9，\u590d\u6742\u5ea6 O(deg(u))<\/td>\n<\/tr>\n | \n| \u5b8c\u5168\u4e8c\u53c9\u6811<\/td>\n | \u7236\u4eb2\u7f16\u53f7 i\/2 ，\u5de6\u5b69\u5b50 2i，\u53f3\u5b69\u5b50 2i+1<\/td>\n<\/tr>\n | \n| \u6570\u7ec4\u4e0e\u6307\u9488<\/td>\n | \u6570\u7ec4\u540d\u4e0e\u9996\u5143\u7d20\u5730\u5740\u5728\u5f88\u591a\u8868\u8fbe\u5f0f\u4e2d\u76f8\u540c，\u4f46\u5e76\u975e\u603b\u662f\u7b49\u4ef7<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\n\u4e09\u3001\u7ed9\u5927\u5bb6\u7279\u522b\u63d0\u9192<\/h2>\n\u6211\u5efa\u8bae\u5b66\u751f\u4eec\u91cd\u70b9\u8bb0\u4f4f\u4e0b\u9762\u4e94\u7ec4\u5bb9\u6613\u6df7\u6dc6\u7684\u77e5\u8bc6\u70b9\u3002<\/p>\n \u7b2c\u4e00\u7ec4：BFS\u548cDFS<\/p>\n \n- \n
BFS：\u961f\u5217，\u5148\u8fdb\u5148\u51fa\u3002<\/p>\n<\/li>\n - \n
DFS：\u6808，\u540e\u8fdb\u5148\u51fa；\u9012\u5f52\u4e5f\u53ef\u4ee5\u5b9e\u73b0\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u7b2c\u4e8c\u7ec4：\u5feb\u901f\u6392\u5e8f<\/p>\n \n- \n
\u5e73\u5747\u590d\u6742\u5ea6：O(nlog\u2061n)\u3002<\/p>\n<\/li>\n - \n
\u6700\u574f\u590d\u6742\u5ea6：O(n^2)\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u7b2c\u4e09\u7ec4：0\/1\u80cc\u5305\u548c\u5b8c\u5168\u80cc\u5305<\/p>\n \n- \n
0\/1\u80cc\u5305：\u4ece\u5927\u5230\u5c0f\u3002<\/p>\n<\/li>\n - \n
\u5b8c\u5168\u80cc\u5305：\u4ece\u5c0f\u5230\u5927\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u7b2c\u56db\u7ec4：\u56fe\u7684\u90bb\u63a5\u8868<\/p>\n \n- \n
\u904d\u5386\u67d0\u4e2a\u70b9\u7684\u90bb\u8fb9：O(deg(u))\u3002<\/p>\n<\/li>\n - \n
\u904d\u5386\u6574\u5f20\u56fe：O(n+m)\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u7b2c\u4e94\u7ec4：\u6570\u7ec4\u4e0e\u6307\u9488<\/p>\n \n- \n
arr：\u5927\u591a\u6570\u8868\u8fbe\u5f0f\u4e2d\u4f1a\u8f6c\u6362\u4e3a\u9996\u5143\u7d20\u5730\u5740\u3002<\/p>\n<\/li>\n - \n
&arr[0]：\u9996\u5143\u7d20\u7684\u5730\u5740\u3002<\/p>\n<\/li>\n - \n
sizeof(arr)：\u6574\u4e2a\u6570\u7ec4\u7684\u5927\u5c0f\u3002<\/p>\n<\/li>\n - \n
sizeof(&arr[0])：\u6307\u9488\u7684\u5927\u5c0f\u3002<\/p>\n<\/li>\n<\/ul>\n
\n\u56db\u3001\u8bfe\u5802\u5c0f\u6d4b：\u770b\u770b\u5b66\u751f\u662f\u5426\u771f\u6b63\u638c\u63e1\u4e86<\/h2>\n\u8bfe\u540e\u7ec3\u4e60\u3002<\/p>\n \u4e03\u7ea7\u5224\u65ad\u9898\u77e5\u8bc6\u5de9\u56fa<\/p>\n \u5355\u9009\u9898<\/p>\n \u7b2c1\u9898：\u5f00\u653e\u5b9a\u5740\u6cd5\u4e2d，\u5220\u9664\u4e00\u4e2a\u5143\u7d20\u65f6，\u901a\u5e38\u5e94\u8be5\u600e\u4e48\u505a？<\/p>\n A. \u76f4\u63a5\u5c06\u4f4d\u7f6e\u6e05\u7a7a<\/p>\n B. \u6807\u8bb0\u4e3a\u5df2\u5220\u9664\u72b6\u6001<\/p>\n C. \u628a\u6574\u4e2a\u54c8\u5e0c\u8868\u6e05\u7a7a<\/p>\n D. \u628a\u6240\u6709\u5143\u7d20\u4e58\u4ee52<\/p>\n
\n\u7b2c2\u9898：\u5feb\u901f\u6392\u5e8f\u7684\u6700\u574f\u65f6\u95f4\u590d\u6742\u5ea6\u662f？<\/p>\n A. O(1)<\/p>\n B. O(log n)<\/p>\n C. O(n log n)<\/p>\n D. O(n\u00b2)<\/p>\n
\n\u7b2c3\u9898：\u4f7f\u7528\u4e00\u7ef4\u6570\u7ec4\u89e3\u51b30\/1\u80cc\u5305\u65f6，\u5bb9\u91cf\u5e94\u8be5\u600e\u6837\u679a\u4e3e？<\/p>\n A. \u4ece\u5c0f\u5230\u5927<\/p>\n B. \u4ece\u5927\u5230\u5c0f<\/p>\n C. \u968f\u673a\u679a\u4e3e<\/p>\n D. \u53ea\u679a\u4e3e\u5947\u6570<\/p>\n
\n\u7b2c4\u9898：\u90bb\u63a5\u8868\u4e2d，\u904d\u5386\u9876\u70b9u\u7684\u6240\u6709\u90bb\u8fb9，\u65f6\u95f4\u590d\u6742\u5ea6\u901a\u5e38\u662f？<\/p>\n A. O(1)<\/p>\n B. O(deg(u))<\/p>\n C. O(n\u00b2)<\/p>\n D. O(2^n)<\/p>\n
\n\u7b2c5\u9898：\u4ece1\u5f00\u59cb\u7f16\u53f7\u7684\u5b8c\u5168\u4e8c\u53c9\u6811\u4e2d，\u7f16\u53f7\u4e3a13\u7684\u7ed3\u70b9，\u5176\u7236\u7ed3\u70b9\u7f16\u53f7\u662f\u591a\u5c11？<\/p>\n A. 5<\/p>\n B. 6<\/p>\n C. 7<\/p>\n D. 8<\/p>\n
\n\u4e03\u7ea7\u5224\u65ad\u9898\u771f\u6b63\u8003\u67e5\u7684\u4e0d\u662f\u6b7b\u8bb0\u786c\u80cc，\u800c\u662f\u80fd\u4e0d\u80fd\u53d1\u73b0\u4e00\u53e5\u8bdd\u91cc\u7684\u5173\u952e\u6761\u4ef6\u3002<\/p>\n \u7279\u522b\u662f\u770b\u5230\u4e0b\u9762\u8fd9\u4e9b\u8bcd\u65f6，\u4e00\u5b9a\u8981\u505c\u4e0b\u6765\u60f3\u4e00\u60f3：<\/p>\n \n- \n
\u201c\u603b\u662f\u201d<\/p>\n<\/li>\n - \n
\u201c\u4e00\u5b9a\u201d<\/p>\n<\/li>\n - \n
\u201c\u6240\u6709\u201d<\/p>\n<\/li>\n - \n
\u201c\u5e73\u5747\u201d<\/p>\n<\/li>\n - \n
\u201c\u6700\u574f\u201d<\/p>\n<\/li>\n - \n
\u201c\u53ea\u80fd\u201d<\/p>\n<\/li>\n - \n
\u201c\u5fc5\u987b\u201d<\/p>\n<\/li>\n<\/ul>\n \u8fd9\u4e9b\u8bcd\u5f80\u5f80\u5c31\u662f\u5224\u65ad\u9898\u7684\u9677\u9631\u6240\u5728\u3002<\/p>\n \u505a\u5224\u65ad\u9898，\u4e0d\u8981\u53ea\u770b\u5b83\u8bb2\u7684\u77e5\u8bc6\u70b9\u5bf9\u4e0d\u5bf9，\u8fd8\u8981\u770b\u5b83\u8bf4\u5f97\u662f\u4e0d\u662f\u592a\u7edd\u5bf9\u3002 \u8fd9\u4e5f\u662f\u4ece\u521d\u7ea7C++\u5b66\u4e60\u8d70\u5411\u7b97\u6cd5\u601d\u7ef4\u7684\u91cd\u8981\u4e00\u6b65\u3002<\/p>\n
\n","protected":false},"excerpt":{"rendered":"\u7b2c1\u9898：exp(0) \u7684\u7ed3\u679c\u6b63\u786e\u9898\u76ee：\u4f7f\u7528 cmath \u6216 math.h \u4e2d\u7684\u51fd\u6570，\u8868\u8fbe\u5f0f exp(0) \u7684\u7ed3\u679c\u503c\u4e3a 1.0，\u4e14\u7c7b\u578b\u4e3a double\u3002\u7b2c\u4e00\u6b65：\u8ba4\u8bc6 exp \u51fd\u6570exp(x) \u662fC\u6570\u5b66\u5e93\u4e2d\u7684\u4e00\u4e2a\u51fd\u6570，\u5b83\u8868\u793a：exp(x)\u00a0 e^x\u8fd9\u91cc\u7684 e \u662f\u4e00\u4e2a\u6570\u5b66\u5e38\u6570，\u7ea6\u7b49\u4e8e：e \u2248 2.71828\u56e0\u6b64：exp(0) e^0 1\u6240\u4ee5<\/p>\n","protected":false},"author":2,"featured_media":112826,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[10494,10493,55,5181],"topic":[],"class_list":["post-112844","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-c","tag-10493","tag-gesp"],"yoast_head":"\n GESP2026\u5e749\u6708\u8ba4\u8bc1C++\u4e03\u7ea7( \u7b2c\u4e8c\u90e8\u5206\u5224\u65ad\u9898\uff081~10\u9898\uff09\u7cbe\u8bb2 - 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