{"id":49447,"date":"2024-12-02T11:59:03","date_gmt":"2024-12-02T03:59:03","guid":{"rendered":"https:\/\/fwq.ai\/blog\/49447\/"},"modified":"2024-12-02T11:59:03","modified_gmt":"2024-12-02T03:59:03","slug":"%e5%85%b7%e6%9c%89%e6%9c%80%e5%a4%a7%e6%a6%82%e7%8e%87%e7%9a%84%e8%b7%af%e5%be%84","status":"publish","type":"post","link":"https:\/\/fwq.ai\/blog\/49447\/","title":{"rendered":"\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84"},"content":{"rendered":"<p><b><\/b> <\/p>\n<h1>\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84<\/h1>\n<p><span style=\"cursor: pointer\"><i><\/i>\u6536\u85cf<\/span> <\/p>\n<p>\u5927\u5bb6\u597d\uff0c\u4eca\u5929\u672c\u4eba\u7ed9\u5927\u5bb6\u5e26\u6765\u6587\u7ae0<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\">\u300a\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u300b<\/span>\uff0c\u6587\u4e2d\u5185\u5bb9\u4e3b\u8981\u6d89\u53ca\u5230<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\"><span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\"><\/span><\/span>\uff0c\u5982\u679c\u4f60\u5bf9<span style=\"color: #FF6600;, Helvetica, Arial, sans-serif;font-size: 14px;background-color: #FFFFFF\">\u6587\u7ae0<\/span>\u65b9\u9762\u7684\u77e5\u8bc6\u70b9\u611f\u5174\u8da3\uff0c\u90a3\u5c31\u8bf7\u5404\u4f4d\u670b\u53cb\u7ee7\u7eed\u770b\u4e0b\u53bb\u5427~\u5e0c\u671b\u80fd\u771f\u6b63\u5e2e\u5230\u4f60\u4eec\uff0c\u8c22\u8c22\uff01<\/p>\n<p>1514\u3002\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84<\/p>\n<p><strong>\u96be\u5ea6\uff1a<\/strong>\u4e2d\u7b49<\/p>\n<p><strong>\u4e3b\u9898\uff1a<\/strong>\u6570\u7ec4\u3001\u56fe\u3001\u5806\uff08\u4f18\u5148\u961f\u5217\uff09\u3001\u6700\u77ed\u8def\u5f84<\/p>\n<p>\u7ed9\u5b9a\u4e00\u4e2a\u7531 n \u4e2a\u8282\u70b9\uff080 \u7d22\u5f15\uff09\u7ec4\u6210\u7684\u65e0\u5411\u52a0\u6743\u56fe\uff0c\u7531\u8fb9\u5217\u8868\u8868\u793a\uff0c\u5176\u4e2dedges[i] = [a, b] \u662f\u8fde\u63a5\u8282\u70b9 a \u548c b \u7684\u65e0\u5411\u8fb9\uff0c\u5177\u6709\u904d\u5386\u6210\u529f\u7684\u6982\u7387\u8be5\u8fb9 succprob[i].<\/p>\n<p>\u7ed9\u5b9a\u4e24\u4e2a\u8282\u70b9\u7684\u8d77\u70b9\u548c\u7ec8\u70b9\uff0c\u627e\u5230\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u6210\u529f\u6982\u7387\u6700\u5927\u7684\u8def\u5f84\u5e76\u8fd4\u56de<em>\u5176\u6210\u529f\u6982\u7387<\/em>.<\/p>\n<p>\u5982\u679c\u6ca1\u6709\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u7684\u8def\u5f84\uff0c<strong>\u8fd4\u56de0<\/strong>\u3002\u5982\u679c\u60a8\u7684\u7b54\u6848\u4e0e\u6b63\u786e\u7b54\u6848\u76f8\u5dee\u6700\u591a <strong>1e-5<\/strong>.<\/p>\n<p>\uff0c\u6211\u4eec\u5c06\u63a5\u53d7\u60a8\u7684\u7b54\u6848 <\/p>\n<p><strong>\u793a\u4f8b1\uff1a<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241202\/1733106622674d1bbe5f892.jpg\" class=\"aligncenter\" title=\"\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u63d2\u56fe\" alt=\"\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u63d2\u56fe\" \/><\/p>\n<ul>\n<li> <strong>\u8f93\u5165\uff1a<\/strong> n = 3\uff0cedges = [[0,1],[1,2],[0,2]]\uff0csuccprob = [0.5,0.5,0.2]\uff0cstart = 0\uff0cend = 2<\/li>\n<li> <strong>\u8f93\u51fa\uff1a<\/strong> 0.25000<\/li>\n<li> <strong>\u8bf4\u660e\uff1a<\/strong> \u4ece\u5f00\u59cb\u5230\u7ed3\u675f\u6709\u4e24\u6761\u8def\u5f84\uff0c\u4e00\u6761\u6210\u529f\u6982\u7387 = 0.2\uff0c\u53e6\u4e00\u6761\u6210\u529f\u6982\u7387 0.5 * 0.5 = 0.25\u3002<\/li>\n<\/ul>\n<p><strong>\u793a\u4f8b2\uff1a<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241202\/1733106623674d1bbf746bd.jpg\" class=\"aligncenter\" title=\"\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u63d2\u56fe1\" alt=\"\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u63d2\u56fe1\" \/><\/p>\n<ul>\n<li> <strong>\u8f93\u5165\uff1a<\/strong> n = 3\uff0cedges = [[0,1],[1,2],[0,2]]\uff0csuccprob = [0.5,0.5,0.3]\uff0cstart = 0\uff0cend = 2<\/li>\n<li> <strong>\u8f93\u51fa\uff1a<\/strong> 0.30000<\/li>\n<\/ul>\n<p><strong>\u793a\u4f8b3\uff1a<\/strong><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.17golang.com\/uploads\/20241202\/1733106624674d1bc0859f2.jpg\" class=\"aligncenter\" title=\"\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u63d2\u56fe2\" alt=\"\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u63d2\u56fe2\" \/><\/p>\n<ul>\n<li> <strong>\u8f93\u5165\uff1a<\/strong> n = 3\uff0cedges = [[0,1]]\uff0csuccprob = [0.5]\uff0cstart = 0\uff0cend = 2<\/li>\n<li> <strong>\u8f93\u51fa\uff1a<\/strong> 0.00000<\/li>\n<li> <strong>\u8bf4\u660e\uff1a<\/strong> 0 \u548c 2 \u4e4b\u95f4\u4e0d\u5b58\u5728\u8def\u5f84\u3002<\/li>\n<\/ul>\n<p><strong>\u9650\u5236\uff1a<\/strong><\/p>\n<ul>\n<li>2 &lt;=n &lt;=10^4<\/li>\n<li>0 &lt;=\u5f00\u59cb\uff0c\u7ed3\u675f &lt; n<\/li>\n<li>\u5f00\u59cb\uff01=\u7ed3\u675f<\/li>\n<li>0 &lt;= a, b &lt; n<\/li>\n<li>a\uff01=b<\/li>\n<li>0 &lt;= succprob.length == edges.length &lt;= 2*10^4<\/li>\n<li>0 &lt;= succprob[i] &lt;= 1<\/li>\n<li>\u6bcf\u4e24\u4e2a\u8282\u70b9\u4e4b\u95f4\u6700\u591a\u6709\u4e00\u6761\u8fb9<\/li>\n<\/ul>\n<p><strong>\u63d0\u793a\uff1a<\/strong><\/p>\n<ol>\n<li>\u4e58\u4ee5\u6982\u7387\u4f1a\u5bfc\u81f4\u7cbe\u5ea6\u8bef\u5dee\u3002<\/li>\n<li>\u91c7\u7528\u5bf9\u6570\u6982\u7387\u5bf9\u6570\u5b57\u8fdb\u884c\u6c42\u548c\u800c\u4e0d\u662f\u76f8\u4e58\u3002<\/li>\n<li>\u4f7f\u7528 dijkstra \u7b97\u6cd5\u6c42\u5426\u5b9a\u6240\u6709\u6210\u672c\u540e\u4e24\u4e2a\u8282\u70b9\u4e4b\u95f4\u7684\u6700\u5c0f\u8def\u5f84\u3002<\/li>\n<\/ol>\n<p><strong>\u89e3\u51b3\u65b9\u6848\uff1a<\/strong><\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528 dijkstra \u7b97\u6cd5\u7684\u4fee\u6539\u7248\u672c\u3002\u60a8\u5c06\u6700\u5927\u5316\u6210\u529f\u7684\u53ef\u80fd\u6027\uff0c\u800c\u4e0d\u662f\u5bfb\u627e\u6700\u77ed\u8def\u5f84\u3002<\/p>\n<p>\u8ba9\u6211\u4eec\u7528 php \u5b9e\u73b0\u8fd9\u4e2a\u89e3\u51b3\u65b9\u6848\uff1a<strong>1514\u3002\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84<\/strong><\/p>\n<pre>&lt;?php\n\/**\n * @param integer $n\n * @param integer[][] $edges\n * @param float[] $succprob\n * @param integer $start_node\n * @param integer $end_node\n * @return float\n *\/\nfunction maxprobability($n, $edges, $succprob, $start_node, $end_node) {\n    ...\n    ...\n    ...\n    \/**\n     * go to .\/solution.php\n     *\/\n}\n\n\/\/ example usage:\n$n1 = 3;\n$edges1 = [[0,1],[1,2],[0,2]];\n$succprob1 = [0.5,0.5,0.2];\n$start_node1 = 0;\n$end_node1 = 2;\n\necho maxprobability($n1, $edges1, $succprob1, $start_node1, $end_node1);\/\/output: 0.25000\n\n\n$n2 = 3;\n$edges2 = [[0,1],[1,2],[0,2]];\n$succprob2 = [0.5,0.5,0.3];\n$start_node2 = 0;\n$end_node2 = 2;\n\necho maxprobability($n2, $edges2, $succprob2, $start_node2, $end_node2);\/\/output: 0.30000\n\n\n$n3 = 3;\n$edges3 = [[0,1]];\n$succprob3 = [0.5;\n$start_node3 = 0;\n$end_node3 = 2;\n\necho maxprobability($n3, $edges3, $succprob3, $start_node3, $end_node3); \/\/output: 0.00000\n?&gt;\n<\/pre>\n<h3> \u89e3\u91ca\uff1a <\/h3>\n<ol>\n<li>\n<p><strong>\u56fe\u8868\u793a<\/strong>\uff1a\u56fe\u8868\u793a\u4e3a\u90bb\u63a5\u5217\u8868\uff0c\u5176\u4e2d\u6bcf\u4e2a\u8282\u70b9\u90fd\u6307\u5411\u5176\u90bb\u5c45\u4ee5\u53ca\u8fde\u63a5\u5b83\u4eec\u7684\u8fb9\u7684\u6210\u529f\u6982\u7387\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u6700\u5927\u6982\u7387\u6570\u7ec4<\/strong>\uff1a\u6570\u7ec4maxprob\u7528\u4e8e\u5b58\u50a8\u4ece\u8d77\u59cb\u8282\u70b9\u5230\u8fbe\u6bcf\u4e2a\u8282\u70b9\u7684\u6700\u5927\u6982\u7387\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u4f18\u5148\u961f\u5217<\/strong>\uff1a\u6700\u5927\u5806\uff08splpriorityqueue\uff09\u7528\u4e8e\u9996\u5148\u63a2\u7d22\u6982\u7387\u6700\u9ad8\u7684\u8def\u5f84\u3002\u8fd9\u5bf9\u4e8e\u786e\u4fdd\u5f53\u6211\u4eec\u5230\u8fbe\u76ee\u7684\u5730\u8282\u70b9\u65f6\uff0c\u6211\u4eec\u627e\u5230\u6982\u7387\u6700\u5927\u7684\u8def\u5f84\u662f\u81f3\u5173\u91cd\u8981\u7684\u3002<\/p>\n<\/li>\n<li>\n<p><strong>\u7b97\u6cd5<\/strong>:<\/p>\n<ul>\n<li>\u5c06\u8d77\u59cb\u8282\u70b9\u7684\u6982\u7387\u521d\u59cb\u5316\u4e3a1\uff08\u56e0\u4e3a\u505c\u7559\u5728\u8d77\u59cb\u70b9\u7684\u6982\u7387\u4e3a1\uff09\u3002<\/li>\n<li>\u4f7f\u7528\u4f18\u5148\u7ea7\u961f\u5217\u6765\u63a2\u7d22\u8282\u70b9\uff0c\u66f4\u65b0\u5230\u8fbe\u6bcf\u4e2a\u90bb\u5c45\u7684\u6700\u5927\u6982\u7387\u3002<\/li>\n<li>\u5982\u679c\u5230\u8fbe\u76ee\u7684\u8282\u70b9\uff0c\u5219\u8fd4\u56de\u6982\u7387\u3002<\/li>\n<li>\u5982\u679c\u4e0d\u5b58\u5728\u8def\u5f84\uff0c\u5219\u8fd4\u56de0.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<h3> \u8f93\u51fa\uff1a <\/h3>\n<p>\u5bf9\u4e8e\u63d0\u4f9b\u7684\u793a\u4f8b\uff1a<\/p>\n<pre>$n = 3;\n$edges = [[0,1],[1,2],[0,2]];\n$succProb = [0.5,0.5,0.2];\n$start_node = 0;\n$end_node = 2;\n<\/pre>\n<p>\u8f93\u51fa\u5c06\u4e3a 0.25.<\/p>\n<p>\u8fd9\u79cd\u65b9\u6cd5\u786e\u4fdd\u4e86\u4f7f\u7528 dijkstra \u7b97\u6cd5\u7684\u6709\u6548\u89e3\u51b3\u65b9\u6848\uff0c\u540c\u65f6\u5904\u7406\u6982\u7387\u8ba1\u7b97\u7684\u7ec6\u8282\u3002<\/p>\n<p><strong>\u8054\u7cfb\u94fe\u63a5<\/strong><\/p>\n<p>\u5982\u679c\u60a8\u53d1\u73b0\u672c\u7cfb\u5217\u6709\u5e2e\u52a9\uff0c\u8bf7\u8003\u8651\u5728 github \u4e0a\u7ed9<strong>\u5b58\u50a8\u5e93<\/strong> \u4e00\u9897\u661f\uff0c\u6216\u5728\u60a8\u6700\u559c\u6b22\u7684\u793e\u4ea4\u7f51\u7edc\u4e0a\u5206\u4eab\u8be5\u5e16\u5b50?\u3002\u60a8\u7684\u652f\u6301\u5bf9\u6211\u6765\u8bf4\u610f\u4e49\u91cd\u5927\uff01<\/p>\n<p>\u5982\u679c\u60a8\u60f3\u8981\u66f4\u591a\u7c7b\u4f3c\u7684\u6709\u7528\u5185\u5bb9\uff0c\u8bf7\u968f\u65f6\u5173\u6ce8\u6211\uff1a<\/p>\n<ul>\n<li><strong>\u9886\u82f1<\/strong><\/li>\n<li><strong>github<\/strong><\/li>\n<\/ul>\n<p>\u7ec8\u4e8e\u4ecb\u7ecd\u5b8c\u5566\uff01\u5c0f\u4f19\u4f34\u4eec\uff0c\u8fd9\u7bc7\u5173\u4e8e\u300a\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u300b\u7684\u4ecb\u7ecd\u5e94\u8be5\u8ba9\u4f60\u6536\u83b7\u591a\u591a\u4e86\u5427\uff01\u6b22\u8fce\u5927\u5bb6\u6536\u85cf\u6216\u5206\u4eab\u7ed9\u66f4\u591a\u9700\u8981\u5b66\u4e60\u7684\u670b\u53cb\u5427~\u7c73\u4e91\u516c\u4f17\u53f7\u4e5f\u4f1a\u53d1\u5e03\u6587\u7ae0\u76f8\u5173\u77e5\u8bc6\uff0c\u5feb\u6765\u5173\u6ce8\u5427\uff01<\/p>\n<p> \u7248\u672c\u58f0\u660e \u672c\u6587\u8f6c\u8f7d\u4e8e\uff1adev.to \u5982\u6709\u4fb5\u72af\uff0c\u8bf7\u8054\u7cfb \u5220\u9664<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84 \u6536\u85cf \u5927\u5bb6\u597d\uff0c\u4eca\u5929\u672c\u4eba\u7ed9\u5927\u5bb6\u5e26\u6765\u6587\u7ae0\u300a\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84\u300b\uff0c\u6587\u4e2d\u5185\u5bb9\u4e3b\u8981\u6d89\u53ca\u5230\uff0c\u5982\u679c\u4f60\u5bf9\u6587\u7ae0\u65b9\u9762\u7684\u77e5\u8bc6\u70b9\u611f\u5174\u8da3\uff0c\u90a3\u5c31\u8bf7\u5404\u4f4d\u670b\u53cb\u7ee7\u7eed\u770b\u4e0b\u53bb\u5427~\u5e0c\u671b\u80fd\u771f\u6b63\u5e2e\u5230\u4f60\u4eec\uff0c\u8c22\u8c22\uff01 1514\u3002\u5177\u6709\u6700\u5927\u6982\u7387\u7684\u8def\u5f84 \u96be\u5ea6\uff1a\u4e2d\u7b49 \u4e3b\u9898\uff1a\u6570\u7ec4\u3001\u56fe\u3001\u5806\uff08\u4f18\u5148\u961f\u5217\uff09\u3001\u6700\u77ed\u8def\u5f84 \u7ed9\u5b9a\u4e00\u4e2a\u7531 n \u4e2a\u8282\u70b9\uff080 \u7d22\u5f15\uff09\u7ec4\u6210\u7684\u65e0\u5411\u52a0\u6743\u56fe\uff0c\u7531\u8fb9\u5217\u8868\u8868\u793a\uff0c\u5176\u4e2dedges[i] = [a, b] \u662f\u8fde\u63a5\u8282\u70b9 a \u548c b \u7684\u65e0\u5411\u8fb9\uff0c\u5177\u6709\u904d\u5386\u6210\u529f\u7684\u6982\u7387\u8be5\u8fb9 succprob[i]. \u7ed9\u5b9a\u4e24\u4e2a\u8282\u70b9\u7684\u8d77\u70b9\u548c\u7ec8\u70b9\uff0c\u627e\u5230\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u6210\u529f\u6982\u7387\u6700\u5927\u7684\u8def\u5f84\u5e76\u8fd4\u56de\u5176\u6210\u529f\u6982\u7387. \u5982\u679c\u6ca1\u6709\u4ece\u8d77\u70b9\u5230\u7ec8\u70b9\u7684\u8def\u5f84\uff0c\u8fd4\u56de0\u3002\u5982\u679c\u60a8\u7684\u7b54\u6848\u4e0e\u6b63\u786e\u7b54\u6848\u76f8\u5dee\u6700\u591a 1e-5. \uff0c\u6211\u4eec\u5c06\u63a5\u53d7\u60a8\u7684\u7b54\u6848 \u793a\u4f8b1\uff1a \u8f93\u5165\uff1a n = 3\uff0cedges = [[0,1],[1,2],[0,2]]\uff0csuccprob = [0.5,0.5,0.2]\uff0cstart = 0\uff0cend = 2 \u8f93\u51fa\uff1a 0.25000 \u8bf4\u660e\uff1a \u4ece\u5f00\u59cb\u5230\u7ed3\u675f\u6709\u4e24\u6761\u8def\u5f84\uff0c\u4e00\u6761\u6210\u529f\u6982\u7387 = 0.2\uff0c\u53e6\u4e00\u6761\u6210\u529f\u6982\u7387 0.5 * 0.5 = 0.25\u3002 \u793a\u4f8b2\uff1a \u8f93\u5165\uff1a n = 3\uff0cedges = [[0,1],[1,2],[0,2]]\uff0csuccprob = 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