{"id":454,"date":"2024-11-12T15:12:22","date_gmt":"2024-11-12T07:12:22","guid":{"rendered":"https:\/\/my.di.cloudns.asia\/?p=454"},"modified":"2024-11-14T15:06:21","modified_gmt":"2024-11-14T07:06:21","slug":"%e4%b8%80%e7%af%87%e6%96%87%e7%ab%a0%e8%ae%b2%e9%80%8fdijkstra%e6%9c%80%e7%9f%ad%e8%b7%af%e5%be%84%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/my.di.cloudns.asia\/index.php\/2024\/11\/12\/454.html","title":{"rendered":"\u4e00\u7bc7\u6587\u7ae0\u8bb2\u900fDijkstra\u6700\u77ed\u8def\u5f84\u7b97\u6cd5"},"content":{"rendered":"<blockquote>\n<p>\u672c\u6587\u7531 <a href=\"http:\/\/ksria.com\/simpread\/\">\u7b80\u60a6 SimpRead<\/a> \u8f6c\u7801\uff0c \u539f\u6587\u5730\u5740 <a href=\"https:\/\/www.cnblogs.com\/goldsunshine\/p\/12978305.html\">www.cnblogs.com<\/a><\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffa029f7.gif\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffa029f7.gif'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffa029f7.gif\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p>Dijkstra \u4e5f\u53eb\u8fea\u6770\u65af\u7279\u62c9\uff0c\u662f\u5178\u578b\u6700\u77ed\u8def\u5f84\u7b97\u6cd5\uff0c\u8ba1\u7b97\u4e00\u4e2a\u8d77\u59cb\u8282\u70b9\u5230\u8def\u5f84\u4e2d\u5176\u4ed6\u6240\u6709\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u7684\u7b97\u6cd5\u548c\u601d\u60f3\u3002\u5728\u4e00\u4e9b\u4e13\u4e1a\u8bfe\u7a0b\u4e2d\u5982\u6570\u636e\u7ed3\u6784\uff0c\u56fe\u8bba\uff0c\u8fd0\u7b79\u5b66\u7b49\u90fd\u6709\u4ecb\u7ecd\u3002\u5176\u601d\u60f3\u662f\u4e00\u79cd\u57fa\u7840\u7684\u6c42\u6700\u77ed\u8def\u5f84\u7684\u7b97\u6cd5\uff0c\u901a\u8fc7\u57fa\u7840\u601d\u60f3\u7684\u53d8\u5316\u53ef\u4ee5\u89e3\u51b3\u5f88\u591a\u590d\u6742\u95ee\u9898\uff0c\u5982\u5bfc\u822a\u7ebf\u8def\uff0c\u52a8\u6001\u89c4\u5212\u7b49\u3002<\/p>\n<h1><strong><em>1<\/em><\/strong>|<strong><em>0<\/em>**<\/strong>Dijkstra \u7b97\u6cd5\u601d\u60f3\u4ecb\u7ecd**<\/h1>\n<p>\u5982\u4e0b\u56fe\u662f\u4e00\u4e2a\u591a\u8282\u70b9\uff0c\u591a\u8def\u5f84\u56fe\u3002\u4e0b\u9762\u4ee5\u8be5\u56fe\u4e3a\u4f8b\u5b50\u8bb2\u89e3 dijkstra \u7b97\u6cd5\u5bfb\u627e\u6700\u77ed\u8def\u5f84\u7684\u8fc7\u7a0b\u3002<br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffb1c5fe.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffb1c5fe.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffb1c5fe.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p>\u4ee5 A \u70b9\u4e3a\u8d77\u59cb\u70b9\uff0c\u6c42 A \u70b9\u5230\u5176\u4ed6\u70b9 <code>B C D E F<\/code> 5 \u4e2a\u70b9\u7684\u6700\u77ed\u8def\u5f84\uff0c\u6700\u540e\u5f97\u51fa A \u5230\u5176\u4ed6\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<\/p>\n<p>\u56e0\u4e3a\u8981\u6c42 A \u5230\u5176\u4ed6 5 \u4e2a\u70b9\u7684\u6700\u77ed\u8ddd\u79bb\uff0c\u6240\u4ee5\u6784\u9020\u4e00\u4e2a\u6570\u7ec4\u8bb0\u5f55 A \u5230<code>B C D E F<\/code> 5 \u4e2a\u70b9\u7684\u8def\u5f84\u8ddd\u79bb\u3002\u7ea6\u5b9a\uff1a<\/p>\n<ul>\n<li>\u5982\u679c A \u80fd\u591f\u76f4\u63a5\u8fbe\u5230\u8282\u70b9\uff0c\u5219\u4f7f\u7528\u8def\u5f84\u957f\u5ea6\u5373\u6743\u503c\u4f5c\u4e3a\u5176\u8ddd\u79bb<\/li>\n<li>\u5982\u679c A \u8282\u70b9\u4e0d\u80fd\u76f4\u63a5\u8fbe\u5230\u8282\u70b9\u5219\u4f7f\u7528\u65e0\u7a77\u5927\u8868\u793a A \u5230\u8be5\u70b9\u8ddd\u79bb\u3002<\/li>\n<li>\u4efb\u4f55\u70b9\u5230\u81ea\u8eab\u90fd\u4e3a 0<\/li>\n<\/ul>\n<p>\u90a3\u4e48\u5728\u6700\u5f00\u59cb\u65f6\uff0cA \u70b9\u5230\u56fe\u4e2d\u6240\u6709\u70b9\u7684\u8ddd\u79bb\u6570\u7ec4\u5982\u4e0b\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>10<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<td>4<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><code>dijkstra\u7684\u7b97\u6cd5\u601d\u60f3<\/code>\u662f\u4ece\u4ee5\u4e0a\u6700\u77ed\u8ddd\u79bb\u6570\u7ec4\u4e2d\u6bcf\u6b21\u9009\u62e9\u4e00\u4e2a\u6700\u8fd1\u7684\u70b9\uff0c\u5c06\u5176\u4f5c\u4e3a\u4e0b\u4e00\u4e2a\u70b9\uff0c\u7136\u540e\u91cd\u65b0\u8ba1\u7b97\u4ece\u8d77\u59cb\u70b9\u7ecf\u8fc7\u8be5\u70b9\u5230\u5176\u4ed6\u6240\u6709\u70b9\u7684\u8ddd\u79bb\uff0c\u66f4\u65b0\u6700\u77ed\u8ddd\u79bb\u6570\u636e\u3002\u5df2\u7ecf\u9009\u53d6\u8fc7\u7684\u70b9\u5c31\u662f\u786e\u5b9a\u4e86\u6700\u77ed\u8def\u5f84\u7684\u70b9\uff0c\u4e0d\u518d\u53c2\u4e0e\u4e0b\u4e00\u6b21\u8ba1\u7b97\u3002<br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffc65f98.\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffc65f98.'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffc65f98.\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p>\u53ef\u80fd\u770b\u5230\u8fd9\u91cc\u4f60\u5b8c\u5168\u4e0d\u660e\u767d dijkstra \u7b97\u6cd5\u7684\u601d\u60f3\uff0c\u5fc3\u91cc\u53ef\u80fd\u60f3\uff1a\u8fd9\u662f\u8bf4\u7684\u4eba\u8bdd\u5417\uff1f\u4e0d\u8981\u7d27\uff0c\u5982\u679c\u7b97\u6cd5\u4e00\u53e5\u8bdd\u5c31\u80fd\u89e3\u91ca\u6e05\u695a\uff0c\u90a3\u5c31\u4e0d\u4f1a\u51fa\u73b0\u90a3\u4e48\u591a\u7b97\u6cd5\u4e66\u4e86\u3002\u4e0b\u9762\u6211\u4eec\u5c31\u4ece\u5b9e\u9645\u7684\u9009\u53d6\u8fc7\u7a0b\u4e2d\u7406\u89e3\u8fd9\u4e2a\u601d\u60f3\u7684\u7cbe\u9ad3\u3002<\/p>\n<h2><strong><em>1<\/em><\/strong>|<strong><em>1<\/em><\/strong> <strong>\u7b2c\u4e00\u6b21\u9009\u53d6<\/strong><\/h2>\n<p>\u6784\u5efa\u597d\u7684\u6570\u7ec4\u662f\u8fd9\u6837\u7684\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>10<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<td>4<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c\u4e00\u6b65\u9009\u53d6\u8be5\u6700\u77ed\u8def\u5f84\u6570\u7ec4\u4e2d\u503c\u6700\u5c0f\u7684\u4e00\u4e2a\u70b9\u3002\u56e0\u4e3a A \u70b9\u5230\u672c\u8eab\u4e0d\u9700\u8981\u53c2\u4e0e\u8fd0\u7b97\uff0c\u6240\u4ee5\u4ece\u5269\u4e0b\u7684\u70b9\u4e2d\u9009\u62e9\u6700\u77ed\u7684\u4e00\u4e2a\u662f D\u3002<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>\u7b2c\u4e8c\u6b65\u4ee5<code>A-D<\/code>\u7684\u8ddd\u79bb\u4e3a\u6700\u8fd1\u8ddd\u79bb\u66f4\u65b0 A \u70b9\u5230\u6240\u6709\u70b9\u7684\u8ddd\u79bb\u3002\u5373\u76f8\u5f53\u4e8e A \u70b9\u7ecf\u8fc7 D \u70b9\uff0c\u8ba1\u7b97 A \u5230\u5176\u4ed6\u70b9\u7684\u8ddd\u79bb\u3002<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffdd24b7.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffdd24b7.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffdd24b7.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p>A-A : 0<br \/>\nA-B : A-D-B:6<br \/>\nA-C : A-D-C:19<br \/>\nA-D : A-D:4<br \/>\nA-E : A-D-E:10<br \/>\nA-F : A-D-F: \u53bb\u7a77\u5927<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>19<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5c06\u73b0\u5728 A \u5230\u5404\u4e2a\u70b9\u7684\u8ddd\u79bb\u548c\u4e4b\u524d\u7684\u6bd4\u8f83\uff0c\u5230\u76f8\u540c\u70b9\u53d6\u6700\u5c0f\u503c\u3002\u66f4\u65b0\u4e86<code>B C E<\/code>\u7684\u8ddd\u79bb\uff0c\u5f97\u5230\u5982\u4e0b\u65b0\u7684\u6700\u77ed\u8ddd\u79bb\u6570\u7ec4\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>19<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u540c\u65f6\u73b0\u5728<code>A D<\/code>\u4e24\u70b9\u5df2\u7ecf\u8ba1\u7b97\u8fc7\uff0c\u4e0d\u53c2\u4e0e\u4e0b\u9762\u7684\u8ba1\u7b97\u3002<\/p>\n<h2><strong><em>1<\/em><\/strong>|<strong><em>2<\/em><\/strong> <strong>\u7b2c\u4e8c\u6b21\u9009\u53d6<\/strong><\/h2>\n<p>\u7b2c\u4e8c\u6b21\u9009\u53d6\u7684\u6570\u7ec4\u4e3a\u7b2c\u4e00\u6b21\u4e2d\u66f4\u65b0\u8fc7\u6700\u77ed\u8ddd\u79bb\u7684\u6570\u7ec4<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>19<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<tr>\n<td>\u7b2c\u4e00\u6b65\uff1a\u56e0\u4e3a<code>A D<\/code> \u4e0d\u53c2\u4e0e\u9009\u53d6\uff0c\u6240\u6709\u4ece\u5269\u4e0b\u7684\u70b9\u4e2d\u9009\u53d6\u6700\u8fd1\u8ddd\u79bb\u662f\u70b9 B<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td>\u7b2c\u4e8c\u6b65\uff1a\u4ee5<code>B<\/code>\u4e3a\u6700\u65b0\u70b9\uff0c\u66f4\u65b0\u6700\u77ed\u6570\u7ec4<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><a data-fancybox=\"gallery\" href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732ffff282aa.png\"><img decoding=\"async\" class=\"\" src=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732ffff282aa.png\"><\/a><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A-A : 0<br \/>\nA-B : A-D-B:6<br \/>\nA-C : A-D-B-C:14<br \/>\nA-D : A-D:4<br \/>\nA-E : A-D-B-E:12<br \/>\nA-F : A-D-B-F: \u65e0\u7a77\u5927<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>14<\/td>\n<td>4<\/td>\n<td>12<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u5bf9\u6bd4\u73b0\u5728\u7684\u6700\u77ed\u8ddd\u79bb\u548c\u4e0a\u4e00\u4e2a\u6570\u7ec4\u7684\u8ddd\u79bb\uff0c\u5230\u76f8\u540c\u8282\u70b9\u53d6\u6700\u5c0f\u7684\uff0cC \u70b9\u7531 19 \u66f4\u65b0\u6210 14\uff0cE \u70b9\u8d70<code>A-D-E<\/code>\u4e3a 10\uff0c\u8ddd\u79bb\u66f4\u77ed\u6240\u4ee5\u4e0d\u66f4\u65b0\uff08\u6572\u9ed1\u677f\uff0c\u8fd9\u4e2a\u91cd\u8981\uff09\uff0c\u5f97\u5230\u5982\u4e0b\u6570\u7ec4\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>14<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6b64\u65f6 B \u70b9\u52a0\u5165\u6700\u77ed\u8def\u5f84\u8303\u56f4\u4e2d\u3002<\/p>\n<h2><strong><em>1<\/em><\/strong>|<strong><em>3<\/em><\/strong> <strong>\u7b2c\u4e09\u6b21\u9009\u53d6<\/strong><\/h2>\n<p>\u4e0a\u4e00\u6b65\u5f97\u5230\u7684\u6570\u7ec4\u4e3a\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>14<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>\u65e0\u7a77\u5927<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7b2c\u4e00\u6b65\uff1a\u9009\u53d6\u9664\u4e86<code>A B D<\/code>\u8282\u70b9\u4e4b\u5916\u7684\u5269\u4f59\u8282\u70b9\u4e2d\u6700\u77ed\u8282\u70b9\uff0c\u4e3a\u70b9 E<br \/>\n\u7b2c\u4e8c\u6b65\uff1a\u4ee5 E \u70b9\u4e3a\u6700\u65b0\u8282\u70b9\uff0c\u66f4\u65b0\u6700\u77ed\u8def\u5f84\u6570\u7ec4<br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330000ddf00.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330000ddf00.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330000ddf00.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><br \/>\n\u56e0\u4e3a\u5728\u4e0a\u4e00\u90e8\u4e2d\u8ba1\u7b97\u8fbe\u5230 E \u70b9\u7684\u8ddd\u79bb\u65f6\u6ca1\u6709\u66f4\u65b0\u8ddd\u79bb\uff0c<code>A-D-E<\/code> \u4e3a 10 \u6700\u77ed\uff0c\u6240\u4ee5\u66f4\u65b0 E \u70b9\u5230<code>B C F<\/code>\u70b9\u7684\u8ddd\u79bb\u65f6\u8d70\u7684\u8def\u5f84\u662f<code>A-D-E<\/code>\u3002\u6ce8\u610f\u8fd9\u91cc\u7684\u6700\u77ed\u8ddd\u79bb\u6709\u5bf9\u5e94\u7684\u8def\u5f84\uff0c\u9009\u62e9\u6700\u5c0f\u503c\u5c31\u662f\u9009\u62e9\u6700\u77ed\u8ddd\u79bb\u3002<\/p>\n<p>A-A : 0<br \/>\nA-B : A-D-B:6<br \/>\nA-C : A-D-E-C:11<br \/>\nA-D : A-D:4<br \/>\nA-E : A-D-E:10<br \/>\nA-F : A-D-E-F:22<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>22<\/td>\n<\/tr>\n<tr>\n<td>\u5bf9\u6bd4\u73b0\u5728\u7684\u6700\u77ed\u8ddd\u79bb\u548c\u4e0a\u4e00\u4e2a\u6570\u7ec4\u7684\u8ddd\u79bb\uff0c\u5230\u76f8\u540c\u8282\u70b9\u53d6\u6700\u5c0f\u7684\uff0c\u66f4\u65b0 C \u70b9\u8d70<code>A-D-E-C<\/code> \u4e3a 11\uff0c\u6bd4\u4e4b\u524d\u7684<code>A-D-B-C<\/code>14 \u8ddd\u79bb\u66f4\u8fd1\uff0c\u66f4\u65b0\u5230 F \u70b9\u8ddd\u79bb\uff0c\u5f97\u5230\u5982\u4e0b\u6570\u7ec4\uff1a<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>22<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u6b64\u65f6 E \u70b9\u52a0\u5165\u6700\u77ed\u8def\u5f84\u8303\u56f4\u4e2d\u3002<\/p>\n<h2><strong><em>1<\/em><\/strong>|<strong><em>4<\/em><\/strong> <strong>\u7b2c\u56db\u6b21\u9009\u53d6<\/strong><\/h2>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>22<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7b2c\u4e00\u6b65\uff1a\u9009\u53d6\u9664\u4e86<code>A B D E<\/code>\u8282\u70b9\u4e4b\u5916\u7684\u5269\u4f59\u8282\u70b9\u4e2d\u6700\u77ed\u8282\u70b9\uff0c\u4e3a\u70b9 C<br \/>\n\u7b2c\u4e8c\u6b65\uff1a\u4ee5 C \u70b9\u4e3a\u6700\u65b0\u8282\u70b9\uff0c\u66f4\u65b0\u6700\u77ed\u8def\u5f84\u6570\u7ec4<\/p>\n<p><a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330001e6437.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330001e6437.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330001e6437.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p>A-A : 0<br \/>\nA-B : A-D-B:6<br \/>\nA-C : A-D-E-C:11<br \/>\nA-D : 4<br \/>\nA-E : A-D-E:10<br \/>\nA-F : A-D-E-C-F:16<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>16<\/td>\n<\/tr>\n<tr>\n<td>\u5bf9\u6bd4\u73b0\u5728\u7684\u6700\u77ed\u8ddd\u79bb\u548c\u4e0a\u4e00\u4e2a\u6570\u7ec4\u7684\u8ddd\u79bb\uff0c\u5230\u76f8\u540c\u8282\u70b9\u53d6\u6700\u5c0f\u7684\uff0c\u66f4\u65b0\u5230 F \u70b9\u8ddd\u79bb\uff0c\u53ef\u4ee5\u5f97\u5230\u5982\u4e0b\u6570\u7ec4\uff1a<\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>16<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><strong><em>1<\/em><\/strong>|<strong><em>5<\/em><\/strong> <strong>\u7b2c\u4e94\u6b21\u9009\u53d6<\/strong><\/h2>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>16<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u7b2c\u4e00\u6b65\uff1a\u9009\u53d6\u9664\u4e86<code>A B C D E<\/code>\u8282\u70b9\u4e4b\u5916\u7684\u5269\u4f59\u8282\u70b9\u4e2d\u6700\u77ed\u8282\u70b9\uff0c\u4e5f\u5c31\u662f\u6700\u540e\u4e00\u4e2a\u8282\u70b9\uff1aF<br \/>\n\u7b2c\u4e8c\u6b65\uff1a\u4ee5 F \u70b9\u4e3a\u6700\u65b0\u8282\u70b9\uff0c\u66f4\u65b0\u6700\u77ed\u8def\u5f84\u6570\u7ec4\u3002\u7531\u4e8e F \u70b9\u662f\u6700\u540e\u4e00\u4e2a\u70b9\uff0c\u6240\u4ee5\u4e5f\u4e0d\u7528\u66f4\u65b0\u6570\u7ec4\uff0c\u76ee\u524d\u7684\u6570\u7ec4\u5c31\u662f\u6240\u6c42\u6570\u7ec4<br \/>\n\u5c06 F \u70b9\u52a0\u5165\u6700\u77ed\u8def\u5f84\u8303\u56f4\u4e2d\uff0c\u6b64\u65f6\u6240\u6709\u7684\u70b9\u90fd\u52a0\u5165\u4e86\u6700\u77ed\u8def\u5f84\u8303\u56f4\uff0c\u4e5f\u5c31\u662f\u8bf4 A \u70b9\u5230\u6240\u6709\u70b9\u7684\u8ddd\u79bb\u90fd\u627e\u5230\u4e86\u3002\u6700\u603b\u5f97\u51fa\u7684\u8ddd\u79bb\u503c\u4e3a\uff1a<br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300036ece1.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300036ece1.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300036ece1.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p>\u6700\u7ec8\u5f97\u5230\u7684\u7ed3\u679c\u4e3a\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>16<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2><strong><em>1<\/em><\/strong>|<strong><em>6<\/em><\/strong> <strong>\u6700\u7ec8\u7ed3\u679c<\/strong><\/h2>\n<p>\u76f8\u5e94\u7684 A \u70b9\u5230\u6240\u6709\u70b9\u7684\u6700\u77ed\u8def\u5f84\u8d70\u6cd5\u6700\u7ec8\u5f97\u5230\u7684\u7ed3\u679c\u4e3a\uff1a<\/p>\n<table>\n<thead>\n<tr>\n<th>A<\/th>\n<th>B<\/th>\n<th>C<\/th>\n<th>D<\/th>\n<th>E<\/th>\n<th>F<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>0<\/td>\n<td>6<\/td>\n<td>11<\/td>\n<td>4<\/td>\n<td>10<\/td>\n<td>16<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>A-A:0<\/strong><br \/>\n<strong>A-B : A-D-B:6<\/strong><br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330004d74ba.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330004d74ba.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330004d74ba.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p><strong>A-C : A-D-E-C:11<\/strong><br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300069c9cb.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300069c9cb.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300069c9cb.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p><strong>A-D:4<\/strong><br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330008646a8.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330008646a8.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330008646a8.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p><strong>A-E:A-D-E:10<\/strong><br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000966042.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000966042.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000966042.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p><strong>A-F:A-D-E-C-F:16<\/strong><br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000ad5a9b.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000ad5a9b.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000ad5a9b.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<h2><strong><em>1<\/em><\/strong>|<strong><em>7<\/em><\/strong> <strong>\u7b97\u6cd5\u603b\u7ed3<\/strong><\/h2>\n<p>Dijkstra \u7b97\u6cd5\u4f5c\u4e3a\u6c42\u6700\u77ed\u8def\u5f84\u7684\u7ecf\u5178\u7b97\u6cd5\uff0c\u4e2a\u4eba\u7406\u89e3\u4e3a\u7b97\u6cd5\u63d0\u4f9b\u4e86\u4e00\u79cd\u601d\u60f3\uff0c\u6bcf\u8d70\u4e00\u6b65\u90fd\u662f\u627e\u5230\u6700\u77ed\u7684\u8def\u5f84\uff0c\u5e76\u4e14\u6bcf\u8d70\u4e00\u6b65\u90fd\u5b9e\u65f6\u66f4\u65b0\u6240\u6709\u8ddd\u79bb\uff0c\u4fdd\u8bc1\u6bcf\u6b21\u90fd\u9009\u62e9\u6700\u77ed\u8def\u5f84\u3002<\/p>\n<h1><strong><em>2<\/em><\/strong>|<strong><em>0<\/em>**<\/strong>python \u5b9e\u73b0 Dijkstra**<\/h1>\n<p>\u5c06\u4ee5\u4e0a\u7684\u8fc7\u7a0b\u4f7f\u7528 python \u6765\u5b9e\u73b0\u3002<br \/>\n\u9996\u5148\u603b\u7ed3\u4e00\u4e2a Dijkstra \u7b97\u6cd5\u7684\u6838\u5fc3\u601d\u60f3\uff0c\u5206\u6210\u4e24\u6b65\u8d70\uff1a<\/p>\n<ol>\n<li>\u6784\u9020\u4e00\u4e2a\u6700\u77ed\u8def\u5f84\u6570\u7ec4\uff0c\u6bcf\u6b21\u627e\u5230\u6570\u7ec4\u4e2d\u672a\u8bbf\u95ee\u7684\u8282\u70b9\u91cc\u6700\u5c0f\u7684\u70b9<\/li>\n<li>\u4ee5\u4e0a\u4e00\u6b65\u7684\u8282\u70b9\u4e3a\u6700\u65b0\u8282\u70b9\uff0c\u66f4\u65b0\u8d77\u59cb\u70b9\u5230\u6240\u6709\u70b9\u7684\u8ddd\u79bb<\/li>\n<\/ol>\n<p>\u4f7f\u7528 python \u5c31\u662f\u5b9e\u73b0\u8fd9\u4e24\u6b65\u5373\u53ef<\/p>\n<h2><strong><em>2<\/em><\/strong>|<strong><em>1<\/em><\/strong> <strong>\u6570\u636e\u51c6\u5907<\/strong><\/h2>\n<h3>\u4e8c\u7ef4\u77e9\u9635<\/h3>\n<p>\u5982\u4f55\u63cf\u8ff0\u4e00\u4e2a\u56fe\u5462\uff1f\u901a\u5e38\u6709\u4e24\u79cd\u65b9\u5f0f\uff0c\u5206\u522b\u662f\uff1a\u5341\u5b57\u94fe\u8868\u548c\u4e8c\u7ef4\u77e9\u9635\u3002\u56e0\u4e3a\u4e8c\u7ef4\u77e9\u9635\u66f4\u52a0\u76f4\u89c2\uff0c\u6240\u4ee5\u9009\u62e9\u4e8c\u7ef4\u77e9\u9635\u3002<\/p>\n<p>\u5c06\u4e0a\u9762\u7684\u56fe\u63cf\u8ff0\u6210\u4e00\u4e2a\u4e8c\u7ef4\u77e9\u9635<br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffb1c5fe.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffb1c5fe.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6732fffb1c5fe.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><br \/>\n\u65e0\u7a77\u5927\u4f7f\u7528<code>MAX = float(&#039;inf&#039;)<\/code>\u8868\u793a\uff0c\u8be5\u6570\u503c\u662f python \u4e2d\u8868\u793a\u65e0\u7a77\u5927\u7684\u4e00\u4e2a\u503c\u3002<\/p>\n<p><a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000db9b8d.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000db9b8d.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-6733000db9b8d.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><br \/>\n\u8fd9\u4e2a\u4e8c\u7ef4\u77e9\u9635\u771f\u6b63\u76f4\u89c2\u4e4b\u5904\u5728\u54ea\u91cc\u5462\uff1f\u662f\u80fd\u591f\u770b\u5230\u4efb\u610f\u4e00\u4e2a\u70b9\u5230\u5176\u4ed6\u70b9\u7684\u8ddd\u79bb\u3002\u5982\u60f3\u770b D \u70b9\u5230\u5176\u4ed6\u70b9\u7684\u8ddd\u79bb\uff0c\u5c31\u662f\uff1a<br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300105a74f.png\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300105a74f.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300105a74f.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><br \/>\n\u5728\u6211\u4eec\u7684\u7b97\u6cd5\u4e24\u6b65\u8d70\u4e2d\u7b2c\u4e8c\u6b65\u8981\u66f4\u65b0 A \u70b9\u7ecf\u8fc7\u67d0\u70b9\u5230\u5176\u4ed6\u70b9\u7684\u8ddd\u79bb\uff0c\u6b63\u662f\u4f7f\u7528\u4e86\u8fd9\u4e2a\u7279\u5f81\u3002<\/p>\n<pre><code>MAX= float(&#039;inf&#039;)\n\nmatrix = [\n    [0,10,MAX,4,MAX,MAX],\n    [10,0,8,2,6,MAX],\n    [MAX,8,10,15,1,5],\n    [4,2,15,0,6,MAX],\n    [MAX,6,1,6,0,12],\n    [MAX,MAX,5,MAX,12,0]\n    ]\n<\/code><\/pre>\n<h3>\u6700\u77ed\u8def\u5f84\u6570\u7ec4<\/h3>\n<p>\u5728\u4e0a\u9762\u8bb2\u89e3\u7b97\u6cd5\u8fc7\u7a0b\u4e2d\u6709\u4e00\u4e2a\u91cd\u8981\u7684\u7684\u6700\u77ed\u8def\u5f84\u6570\u7ec4\uff0c\u4e0d\u65ad\u66f4\u65b0\u8be5\u6570\u7ec4\u76f4\u5230\u6240\u6709\u7684\u70b9\u90fd\u88ab\u8bbf\u95ee\u5230\u3002\u4f7f\u7528 python \u8bed\u8a00\uff0c\u6784\u9020\u8be5\u6570\u7ec4\uff1a<\/p>\n<pre><code>distance = [MAX] * len(matrix)\n<\/code><\/pre>\n<p><code>len(matrix)<\/code> \u5b9e\u9645\u4e0a\u7b97\u51fa\u7684\u56fe\u7684\u70b9\u7684\u4e2a\u6570\u3002\u521d\u59cb\u5316\u65f6\u6240\u6709\u7684\u8282\u70b9\u90fd\u662f\u4e0d\u53ef\u8fbe\u3002<\/p>\n<p>\u5728\u7b97\u6cd5\u8fc7\u7a0b\u4e2d\u8fd8\u6709\u4e00\u4e2a\u91cd\u8981\u7684\u6570\u7ec4\uff0c\u5e76\u6ca1\u6709\u4f53\u73b0\u51fa\u6765\uff0c\u4f46\u662f\u5728 python \u8ba1\u7b97\u65f6\u4e5f\u5f88\u91cd\u8981\uff0c\u90a3\u5c31\u662f\u8bbf\u95ee\u8fc7\u7684\u70b9\u3002\u6bcf\u4e00\u6b21\u8bbf\u95ee\u4e4b\u540e\u5c31\u8981\u5c06\u8bbf\u95ee\u8fc7\u7684\u70b9\u52a0\u5165\u5230\u8be5\u6570\u7ec4\u4e2d\uff0c\u8fd9\u6837\u505a\u662f\u4e3a\u4e86\u907f\u514d\u91cd\u590d\u8bbf\u95ee\u3002<\/p>\n<pre><code>used_node = [False] * len(matrix)\n<\/code><\/pre>\n<p>\u521d\u59cb\u5316\u65f6\u8ba4\u4e3a\u6240\u6709\u70b9\u90fd\u6ca1\u6709\u8bbf\u95ee\u5230<\/p>\n<h2><strong><em>2<\/em><\/strong>|<strong><em>2<\/em><\/strong> <strong>\u4ee3\u7801\u5b9e\u73b0<\/strong><\/h2>\n<pre><code>MAX= float(&#039;inf&#039;)\n\nmatrix = [\n    [0,10,MAX,4,MAX,MAX],\n    [10,0,8,2,6,MAX],\n    [MAX,8,10,15,1,5],\n    [4,2,15,0,6,MAX],\n    [MAX,6,1,6,0,12],\n    [MAX,MAX,5,MAX,12,0]\n    ]\n\ndef dijkstra(matrix, start_node):\n\n    #\u77e9\u9635\u4e00\u7ef4\u6570\u7ec4\u7684\u957f\u5ea6\uff0c\u5373\u8282\u70b9\u7684\u4e2a\u6570\n    matrix_length = len(matrix)\n\n    #\u8bbf\u95ee\u8fc7\u7684\u8282\u70b9\u6570\u7ec4\n    used_node = [False] * matrix_length\n\n    #\u6700\u77ed\u8def\u5f84\u8ddd\u79bb\u6570\u7ec4\n    distance = [MAX] * matrix_length\n\n    #\u521d\u59cb\u5316\uff0c\u5c06\u8d77\u59cb\u8282\u70b9\u7684\u6700\u77ed\u8def\u5f84\u4fee\u6539\u62100\n    distance[start_node] = 0\n\n    #\u5c06\u8bbf\u95ee\u8282\u70b9\u4e2d\u672a\u8bbf\u95ee\u7684\u4e2a\u6570\u4f5c\u4e3a\u5faa\u73af\u503c\uff0c\u5176\u5b9e\u4e5f\u53ef\u4ee5\u7528\u4e2a\u70b9\u957f\u5ea6\u4ee3\u66ff\u3002\n    while used_node.count(False):\n        min_value = float(&#039;inf&#039;)\n        min_value_index = 999\n\n        #\u5728\u6700\u77ed\u8def\u5f84\u8282\u70b9\u4e2d\u627e\u5230\u6700\u5c0f\u503c\uff0c\u5df2\u7ecf\u8bbf\u95ee\u8fc7\u7684\u4e0d\u5728\u53c2\u4e0e\u5faa\u73af\u3002\n        #\u5f97\u5230\u6700\u5c0f\u503c\u4e0b\u6807\uff0c\u6bcf\u5faa\u73af\u4e00\u6b21\u80af\u5b9a\u6709\u4e00\u4e2a\u6700\u5c0f\u503c\n        for index in range(matrix_length):\n            if not used_node[index] and distance[index] &lt; min_value:\n                min_value = distance[index]\n                min_value_index = index\n\n            if min_value == float(&quot;inf&quot;):\n                break\n\n        #\u5c06\u8bbf\u95ee\u8282\u70b9\u6570\u7ec4\u5bf9\u5e94\u7684\u503c\u4fee\u6539\u6210True\uff0c\u6807\u5fd7\u5176\u5df2\u7ecf\u8bbf\u95ee\u8fc7\u4e86\n        used_node[min_value_index] = True\n\n        #\u66f4\u65b0distance\u6570\u7ec4\u3002\n        #\u4ee5B\u70b9\u4e3a\u4f8b\uff1adistance[x] \u8d77\u59cb\u70b9\u8fbe\u5230B\u70b9\u7684\u8ddd\u79bb\uff0c\n        #distance[min_value_index] + matrix[min_value_index][index] \u662f\u8d77\u59cb\u70b9\u7ecf\u8fc7\u67d0\u70b9\u8fbe\u5230B\u70b9\u7684\u8ddd\u79bb\uff0c\u6bd4\u8f83\u4e24\u4e2a\u503c\uff0c\u53d6\u8f83\u5c0f\u7684\u90a3\u4e2a\u3002\n        for index in range(matrix_length):\n            distance[index] = min(distance[index], distance[min_value_index] + matrix[min_value_index][index])\n\n    return distance\n\nstart_node = int(input(&#039;\u8bf7\u8f93\u5165\u8d77\u59cb\u8282\u70b9:&#039;))\nresult = dijkstra(matrix,start_node)\nprint(&#039;\u8d77\u59cb\u8282\u70b9\u5230\u5176\u4ed6\u70b9\u8ddd\u79bb\uff1a%s&#039; % result)\n<\/code><\/pre>\n<p>\u7ed3\u679c\uff1a<\/p>\n<pre><code>\u8bf7\u8f93\u5165\u8d77\u59cb\u8282\u70b9:0\n\u8d77\u59cb\u8282\u70b9\u5230\u5176\u4ed6\u70b9\u8ddd\u79bb\uff1a[0, 6, 11, 4, 10, 16]\n<\/code><\/pre>\n<h2><strong><em>2<\/em><\/strong>|<strong><em>3<\/em><\/strong> <strong>\u7b80\u5355\u603b\u7ed3<\/strong><\/h2>\n<p>\u5b66\u4e60 python \u5b9e\u73b0 Dijkstra \u91cd\u8981\u7684\u5730\u65b9\u6709\u51e0\u70b9\uff1a<\/p>\n<ol>\n<li>\u6570\u636e\u6784\u9020 \u4e8c\u7ef4\u77e9\u9635\u8868\u793a\u56fe<\/li>\n<li>\u56fe\u7684\u8bbf\u95ee\u65b9\u5f0f \u66f4\u65b0\u6700\u77ed\u8def\u5f84\u6570\u7ec4\u7684\u8fc7\u7a0b\u65e0\u975e\u5c31\u662f\u5206\u522b\u6bd4\u8f83\u4e8c\u7ef4\u77e9\u9635\u6570\u7ec4\u4e2d\u67d0\u4e00\u884c\u7684\u503c\u548c\u6700\u77ed\u8def\u5f84\u6570\u7ec4\u7684\u503c<\/li>\n<\/ol>\n<p>\u719f\u6089\u8fd9\u6837\u7684\u5904\u7406\u65b9\u5f0f\uff0c\u518d\u6709\u7c7b\u4f3c\u7684\u7b97\u6cd5\u4e5f\u80fd\u627e\u5230\u89e3\u51b3\u7684\u601d\u8def\u3002\u4f8b\u5982\u4e00\u4e2a\u4e8c\u7ef4\u77e9\u9635\uff0c\u4ece\u8d77\u59cb\u70b9\u5f00\u59cb\u53ea\u80fd\u8d70\u5411\u4e0b\u7684\u76f8\u90bb\u7684\u5143\u7d20\uff0c\u6c42\u8fbe\u5230\u67d0\u70b9\u7684\u6700\u77ed\u8def\u5f84\u3002<br \/>\n\u5e0c\u671b\u901a\u8fc7\u8be5\u7bc7\u6587\u7ae0\uff0c\u80fd\u591f\u6df1\u523b\u7406\u89e3 Dijkstra \u7b97\u6cd5\uff0c\u505a\u5230\u5fc3\u4e2d\u6709\u6570\uff0c\u624b\u4e2d\u6709\u6d3b\u3002<br \/>\n<a href=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300119ec7a.gif\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300119ec7a.gif'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-673300119ec7a.gif\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div><\/a><\/p>\n<p><strong>EOF<\/strong><\/p>\n<p><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330014865a1.'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  decoding=\"async\" data-original=\"https:\/\/my.di.cloudns.asia\/wp-content\/uploads\/2024\/11\/post-454-67330014865a1.\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" \/><\/div>\u672c\u6587\u4f5c\u8005\uff1a<strong><a href=\"https:\/\/www.cnblogs.com\/goldsunshine\/p\/12978305.html\">goldsunshine<\/a><\/strong><br \/>\n\u672c\u6587\u94fe\u63a5\uff1a<a href=\"https:\/\/www.cnblogs.com\/goldsunshine\/p\/12978305.html\">https:\/\/www.cnblogs.com\/goldsunshine\/p\/12978305.html<\/a><br \/>\n\u5173\u4e8e\u535a\u4e3b\uff1a\u8bc4\u8bba\u548c\u79c1\u4fe1\u4f1a\u5728\u7b2c\u4e00\u65f6\u95f4\u56de\u590d\u3002\u6216\u8005<a href=\"https:\/\/msg.cnblogs.com\/msg\/send\/goldsunshine\">\u76f4\u63a5\u79c1\u4fe1<\/a>\u6211\u3002<br \/>\n\u7248\u6743\u58f0\u660e\uff1a\u672c\u535a\u5ba2\u6240\u6709\u6587\u7ae0\u9664\u7279\u522b\u58f0\u660e\u5916\uff0c\u5747\u91c7\u7528 <a href=\"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/\" title=\"BY-NC-SA\">BY-NC-SA<\/a> \u8bb8\u53ef\u534f\u8bae\u3002\u8f6c\u8f7d\u8bf7\u6ce8\u660e\u51fa\u5904\uff01<br \/>\n\u58f0\u63f4\u535a\u4e3b\uff1a\u5982\u679c\u60a8\u89c9\u5f97\u6587\u7ae0\u5bf9\u60a8\u6709\u5e2e\u52a9\uff0c\u53ef\u4ee5\u70b9\u51fb\u6587\u7ae0\u53f3\u4e0b\u89d2<strong>\u3010<a href=\"javascript:void(0);\">\u63a8\u8350<\/a>\u3011<\/strong>\u4e00\u4e0b\u3002\u60a8\u7684\u9f13\u52b1\u662f\u535a\u4e3b\u7684\u6700\u5927\u52a8\u529b\uff01<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u6587\u7531 \u7b80\u60a6 SimpRead \u8f6c\u7801\uff0c \u539f\u6587\u5730\u5740 www.cnblogs.com Dijkstra \u4e5f\u53eb\u8fea\u6770\u65af [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-454","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts\/454","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/comments?post=454"}],"version-history":[{"count":2,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts\/454\/revisions"}],"predecessor-version":[{"id":456,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/posts\/454\/revisions\/456"}],"wp:attachment":[{"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/media?parent=454"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/categories?post=454"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/my.di.cloudns.asia\/index.php\/wp-json\/wp\/v2\/tags?post=454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}