{"id":40691,"date":"2023-12-11T14:51:22","date_gmt":"2023-12-11T06:51:22","guid":{"rendered":"https:\/\/wx.kaifamiao.info\/?p=40691"},"modified":"2023-12-11T14:51:22","modified_gmt":"2023-12-11T06:51:22","slug":"%e4%bb%80%e4%b9%88%e6%98%af%e5%9b%9e%e6%ba%af%e6%b3%95-%ef%bc%88backtracking%ef%bc%89%ef%bc%9f","status":"publish","type":"post","link":"http:\/\/wx.kaifamiao.info\/index.php\/2023\/12\/11\/%e4%bb%80%e4%b9%88%e6%98%af%e5%9b%9e%e6%ba%af%e6%b3%95-%ef%bc%88backtracking%ef%bc%89%ef%bc%9f\/","title":{"rendered":"\u4ec0\u4e48\u662f\u56de\u6eaf\u6cd5 \uff08Backtracking\uff09\uff1f"},"content":{"rendered":"

“`” \u627e\u5230\u6240\u6709\u9009\u62e9\uff0c\u8d70\u4e0d\u901a\u5219\u56de\u6eaf<\/p>\n

\u5047\u5b9a\u95ee\u9898\u7684\u89e3\u662f\u4e00\u4e2a\u5411\u91cf(a1,a2,a3,…,an)\uff0c\u5176\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20ai\u90fd\u662f\u95ee\u9898\u7684\u4e00\u4e2a\u5143\u7d20<\/p>\n

\u6b65\u9aa4\uff1a<\/p>\n

\u5efa\u7acb\u4e00\u4e2a\u95ee\u9898\u7684\u90e8\u5206\u89e3v=(a1,a2,…,ak)<\/p>\n

\u82e5\u8fd9\u4e2a\u90e8\u5206\u89e3\u662f\u53ef\u884c\u89e3\uff0c\u5219\u7ee7\u7eed\uff0c\u82e5\u4e0d\u662f\u53ef\u884c\u89e3\uff0c\u5220\u9664ak\uff0c\u52a0\u5165ak\u60c5\u51b5\u7684\u53e6\u4e00\u79cd\u53ef\u80fd<\/p>\n

\u82e5ak\u7684\u53ef\u80fd\u5df2\u7ecf\u904d\u5386\u5b8c\uff0c\u56de\u6eaf\u5e76\u5bfb\u627eak-1\u7684\u4e0b\u4e00\u4e2a\u53ef\u80fd<\/p>\n

\u00a0<\/p>\n

<strong>\u7b97\u6cd5\u6539\u8fdb\uff1a\u641c\u7d22\u526a\u679d<\/strong><\/p>\n

<strong>\u526a\u679d<\/strong>\uff08pruning\uff09\u53ef\u4ee5\u5e2e\u52a9\u6211\u4eec\u51cf\u5c11\u641c\u7d22\u7a7a\u95f4\uff0c\u66f4\u5feb\u7684\u627e\u5230\u89e3<\/p>\n

\u526a\u679d\u7684\u601d\u60f3\u5c31\u662f\u5c31\u662f\u901a\u8fc7\u67d0\u79cd\u5224\u65ad\uff0c\u907f\u514d\u4e00\u4e9b\u4e0d\u5fc5\u8981\u7684\u904d\u5386\u8fc7\u7a0b\uff0c\u5c31\u662f\u5982\u679c\u53d1\u73b0\u6b64\u5206\u652f\u4e0d\u53ef\u80fd\u627e\u5230\u6700\u4f18\u89e3\uff0c\u5c31\u7acb\u523b\u56de\u6eaf<\/p>\n

\u526a\u679d\u7684\u7b56\u7565\u9700\u8981\u5177\u4f53\u95ee\u9898\u5177\u4f53\u5206\u6790\uff0c\u8fd9\u91cc\u4e0d\u7ec6\u8bb2<\/p>\n

\u56de\u6eaf\u6cd5\u6846\u67b6\uff1a<\/p>\n

\u9012\u5f52\u6cd5<\/p>\n

<pre><code>Backtrack(k,X[1…K-1]) if(k>n) output(X[1…N]) else for each element x in S(k): if(constraint(x,X[1…k-1])) X[k]=x backtrack(k+1,X[1…k])<\/code><\/pre><\/p>\n

\u8fed\u4ee3\u6cd5<\/p>\n

<pre><code>IterativeBacktrack() k=1 while k>0 while set S(k) is not empty get a new element x from set S(k) if(constraint(x,X[1,k-1])) X[k]=x if(solution(X)) output(X) else k++<\/code><\/pre><\/p>\n

\u00a0<\/p>\n

<pre><code> "“`
\n<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"

“`” \u627e\u5230\u6240\u6709\u9009\u62e9\uff0c\u8d70\u4e0d\u901a\u5219\u56de\u6eaf \u5047\u5b9a\u95ee\u9898\u7684\u89e3\u662f\u4e00\u4e2a\u5411\u91cf(a1,a2,a3,&#82 […]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[101],"tags":[],"class_list":["post-40691","post","type-post","status-publish","format-standard","hentry","category-c"],"_links":{"self":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/40691","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/comments?post=40691"}],"version-history":[{"count":1,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/40691\/revisions"}],"predecessor-version":[{"id":40692,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/posts\/40691\/revisions\/40692"}],"wp:attachment":[{"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/media?parent=40691"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/categories?post=40691"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/wx.kaifamiao.info\/index.php\/wp-json\/wp\/v2\/tags?post=40691"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}