{"id":70921,"date":"2026-02-02T21:16:36","date_gmt":"2026-02-02T13:16:36","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/70921.html"},"modified":"2026-02-02T21:16:36","modified_gmt":"2026-02-02T13:16:36","slug":"%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84%ef%bc%9a%e4%bb%8e%e9%98%9f%e5%88%97%e5%88%b0%e4%ba%8c%e5%8f%89%e6%a0%91%e5%9f%ba%e7%a1%80%e8%a7%a3%e6%9e%90","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/70921.html","title":{"rendered":"\u6570\u636e\u7ed3\u6784\uff1a\u4ece\u961f\u5217\u5230\u4e8c\u53c9\u6811\u57fa\u7840\u89e3\u6790"},"content":{"rendered":"<p>\u8fd9\u7ae0\u8bb2\u89e3\u4e86\u961f\u5217\u7684\u77e5\u8bc6&#xff0c;\u6811\u5f62\u7ed3\u6784\u7684\u57fa\u672c\u6982\u5ff5&#xff0c;\u4ee5\u53ca\u4e8c\u53c9\u6811\u7684\u57fa\u7840\u90e8\u5206\u4ee5\u53ca\u76f8\u5173\u7684\u6982\u5ff5&#xff0c;\u4f8b\u5982\u6839\u636e\u524d\u5e8f\u548c\u4e2d\u5e8f&#xff0c;\u8ba1\u7b97\u540e\u5e8f\u7b49<\/p>\n<p>\u4ece\u961f\u5217\u5230\u4e8c\u53c9\u6811 \u6570\u636e\u7ed3\u6784\u5165\u95e8\u6838\u5fc3\u8109\u7edc\u89e3\u6790<\/p>\n<p>\u4eca\u5929\u6211\u4eec\u4ece\u4e24\u4e2a\u7ecf\u5178\u6570\u636e\u7ed3\u6784\u5165\u624b \u961f\u5217\u548c\u4e8c\u53c9\u6811 \u4e32\u8054\u8bb2\u89e3\u5b83\u4eec\u7684\u6838\u5fc3\u6982\u5ff5\u4e0e\u5e94\u7528 \u5c24\u5176\u4f1a\u6df1\u5165\u5256\u6790\u4e8c\u53c9\u6811\u4e2d\u524d\u5e8f\u4e2d\u5e8f\u6c42\u540e\u5e8f\u7684\u7ecf\u5178\u95ee\u9898 \u8ba9\u4f60\u5f7b\u5e95\u641e\u61c2\u9012\u5f52\u4e0e\u6811\u7684\u903b\u8f91<\/p>\n<h4 style=\"background-color:transparent\">\u4e00 \u961f\u5217 \u5148\u8fdb\u5148\u51fa\u7684\u7ebf\u6027\u8868<\/h4>\n<h5>1 \u4ec0\u4e48\u662f\u961f\u5217<\/h5>\n<p>\u961f\u5217\u662f\u4e00\u79cd\u7ebf\u6027\u6570\u636e\u7ed3\u6784 \u7279\u70b9\u662f\u5148\u8fdb\u5148\u51faFIFO \u50cf\u751f\u6d3b\u4e2d\u6392\u961f\u4e70\u7968 \u5148\u6765\u7684\u4eba\u5148\u4e70\u5230\u7968\u79bb\u5f00 \u540e\u6765\u7684\u4eba\u6392\u5728\u961f\u5c3e \u961f\u5217\u6709\u4e24\u4e2a\u5173\u952e\u7aef \u961f\u5934\u51fa\u961f \u961f\u5c3e\u5165\u961f<\/p>\n<h5>2 \u57fa\u672c\u64cd\u4f5c<\/h5>\n<p>\u5165\u961fenqueue \u5728\u961f\u5c3e\u6dfb\u52a0\u5143\u7d20 \u51fa\u961fdequeue \u5728\u961f\u5934\u79fb\u9664\u5143\u7d20 \u5224\u7a7aisEmpty \u5224\u65ad\u961f\u5217\u662f\u5426\u6709\u5143\u7d20 \u5224\u6ee1isFull \u5224\u65ad\u961f\u5217\u662f\u5426\u5df2\u6ee1<\/p>\n<h5>3 \u5b9e\u73b0 \u5faa\u73af\u6570\u7ec4\u961f\u5217<\/h5>\n<p>\u7528\u6570\u7ec4\u5b9e\u73b0\u961f\u5217\u65f6 \u4e3a\u907f\u514d\u5047\u6ea2\u51fa \u5e38\u7528\u5faa\u73af\u6570\u7ec4 \u5373\u6570\u7ec4\u9996\u5c3e\u76f8\u8fde \u7528\u4e24\u4e2a\u6307\u9488front\u961f\u5934 rear\u961f\u5c3e\u6807\u8bb0\u4f4d\u7f6e<\/p>\n<p>#include &lt;stdio.h&gt;<br \/>\n#define MAX_SIZE 5  \/\/ \u961f\u5217\u6700\u5927\u5bb9\u91cf<\/p>\n<p>\/\/ \u961f\u5217\u7ed3\u6784\u4f53<br \/>\ntypedef struct {<br \/>\n    int data[MAX_SIZE];  \/\/ \u5b58\u50a8\u5143\u7d20\u7684\u6570\u7ec4<br \/>\n    int front;           \/\/ \u961f\u5934\u6307\u9488 \u6307\u5411\u961f\u5934\u5143\u7d20<br \/>\n    int rear;            \/\/ \u961f\u5c3e\u6307\u9488 \u6307\u5411\u961f\u5c3e\u4e0b\u4e00\u4e2a\u4f4d\u7f6e<br \/>\n} Queue;<\/p>\n<p>\/\/ \u521d\u59cb\u5316\u961f\u5217<br \/>\nvoid initQueue(Queue *q) {<br \/>\n    q-&gt;front &#061; 0;<br \/>\n    q-&gt;rear &#061; 0;<br \/>\n}<\/p>\n<p>\/\/ \u5224\u7a7a \u961f\u5934\u961f\u5c3e\u91cd\u5408\u4e14\u672a\u5b58\u5143\u7d20\u65f6\u4e3a\u7a7a<br \/>\nint isEmpty(Queue *q) {<br \/>\n    return q-&gt;front &#061;&#061; q-&gt;rear;<br \/>\n}<\/p>\n<p>\/\/ \u5224\u6ee1 \u961f\u5c3e\u4e0b\u4e00\u4e2a\u4f4d\u7f6e\u662f\u961f\u5934\u65f6\u6ee1 (\u5faa\u73af)<br \/>\nint isFull(Queue *q) {<br \/>\n    return (q-&gt;rear &#043; 1) % MAX_SIZE &#061;&#061; q-&gt;front;<br \/>\n}<\/p>\n<p>\/\/ \u5165\u961f<br \/>\nint enqueue(Queue *q, int val) {<br \/>\n    if (isFull(q)) {<br \/>\n        printf(&#034;\u961f\u5217\u5df2\u6ee1 \u65e0\u6cd5\u5165\u961f\\\\n&#034;);<br \/>\n        return 0;  \/\/ \u5931\u8d25<br \/>\n    }<br \/>\n    q-&gt;data[q-&gt;rear] &#061; val;<br \/>\n    q-&gt;rear &#061; (q-&gt;rear &#043; 1) % MAX_SIZE;  \/\/ \u961f\u5c3e\u5faa\u73af\u540e\u79fb<br \/>\n    return 1;  \/\/ \u6210\u529f<br \/>\n}<\/p>\n<p>\/\/ \u51fa\u961f<br \/>\nint dequeue(Queue *q, int *val) {<br \/>\n    if (isEmpty(q)) {<br \/>\n        printf(&#034;\u961f\u5217\u4e3a\u7a7a \u65e0\u6cd5\u51fa\u961f\\\\n&#034;);<br \/>\n        return 0;  \/\/ \u5931\u8d25<br \/>\n    }<br \/>\n    *val &#061; q-&gt;data[q-&gt;front];<br \/>\n    q-&gt;front &#061; (q-&gt;front &#043; 1) % MAX_SIZE;  \/\/ \u961f\u5934\u5faa\u73af\u540e\u79fb<br \/>\n    return 1;  \/\/ \u6210\u529f<br \/>\n}<\/p>\n<p>\/\/ \u793a\u4f8b \u6a21\u62df\u6392\u961f<br \/>\nvoid queueExample() {<br \/>\n    Queue q;<br \/>\n    initQueue(&amp;q);<br \/>\n    enqueue(&amp;q, 10);  \/\/ \u961f\u5c3e\u5165\u961f10<br \/>\n    enqueue(&amp;q, 20);  \/\/ \u5165\u961f20<br \/>\n    enqueue(&amp;q, 30);  \/\/ \u5165\u961f30<br \/>\n    int val;<br \/>\n    dequeue(&amp;q, &amp;val);  \/\/ \u961f\u5934\u51fa\u961f10<br \/>\n    printf(&#034;\u51fa\u961f\u5143\u7d20 %d\\\\n&#034;, val);  \/\/ \u8f93\u51fa10<br \/>\n    enqueue(&amp;q, 40);<br \/>\n    enqueue(&amp;q, 50);<br \/>\n    enqueue(&amp;q, 60);  \/\/ \u6b64\u65f6\u961f\u5217\u6ee1 \u65e0\u6cd5\u5165\u961f<br \/>\n} <\/p>\n<h4>\u4e8c \u6811\u5f62\u7ed3\u6784\u57fa\u672c\u6982\u5ff5<\/h4>\n<h5>1 \u4ec0\u4e48\u662f\u6811<\/h5>\n<p>\u6811\u662f\u975e\u7ebf\u6027\u6570\u636e\u7ed3\u6784 \u50cf\u5012\u8fc7\u6765\u7684\u6811 \u6709\u6839\u8282\u70b9 \u6bcf\u4e2a\u8282\u70b9\u6709\u96f6\u4e2a\u6216\u591a\u4e2a\u5b50\u8282\u70b9 \u5b50\u8282\u70b9\u4e0b\u8fd8\u6709\u5b50\u6811 \u6700\u4e0a\u9762\u662f\u6839 \u6700\u4e0b\u9762\u662f\u53f6\u5b50<\/p>\n<h5>2 \u6838\u5fc3\u672f\u8bed<\/h5>\n<p>\u8282\u70b9 \u6811\u7684\u57fa\u672c\u5355\u4f4d \u5ea6 \u8282\u70b9\u62e5\u6709\u7684\u5b50\u8282\u70b9\u6570 \u53f6\u5b50\u8282\u70b9 \u5ea6\u4e3a0\u7684\u8282\u70b9 \u53cc\u4eb2 \u7236\u8282\u70b9 \u5b69\u5b50 \u5b50\u8282\u70b9 \u5144\u5f1f \u540c\u4e00\u53cc\u4eb2\u7684\u5b50\u8282\u70b9 \u5c42\u6b21 \u6839\u662f\u7b2c\u4e00\u5c42 \u5f80\u4e0b\u9012\u589e \u6df1\u5ea6 \u6811\u7684\u6700\u5927\u5c42\u6b21 \u68ee\u6797 \u591a\u68f5\u4e92\u4e0d\u76f8\u4ea4\u7684\u6811<\/p>\n<h5>3 \u4f8b\u5b50<\/h5>\n<p>\u5bb6\u65cf\u6811 \u6839\u662f\u7956\u5148 \u5b69\u5b50\u662f\u540e\u4ee3 \u516c\u53f8\u67b6\u6784 \u6839\u662fCEO \u5b50\u6811\u662f\u5404\u90e8\u95e8<\/p>\n<h4>\u4e09 \u4e8c\u53c9\u6811\u57fa\u7840<\/h4>\n<h5>1 \u5b9a\u4e49<\/h5>\n<p>\u4e8c\u53c9\u6811\u662f\u6bcf\u4e2a\u8282\u70b9\u6700\u591a\u6709\u4e24\u68f5\u5b50\u6811\u7684\u6811 \u5206\u522b\u53eb\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811 \u5b50\u6811\u6709\u987a\u5e8f \u4e0d\u80fd\u98a0\u5012<\/p>\n<h5>2 \u7279\u6b8a\u4e8c\u53c9\u6811<\/h5>\n<p>\u6ee1\u4e8c\u53c9\u6811 \u6bcf\u5c42\u8282\u70b9\u90fd\u6ee1 \u6df1\u5ea6k\u67092^k 1\u4e2a\u8282\u70b9 \u5b8c\u5168\u4e8c\u53c9\u6811 \u9664\u6700\u540e\u4e00\u5c42 \u5176\u4f59\u5c42\u6ee1 \u6700\u540e\u4e00\u5c42\u8282\u70b9\u9760\u5de6\u6392\u5217<\/p>\n<h5>3 \u6027\u8d28<\/h5>\n<p>\u7b2ci\u5c42\u6700\u591a\u67092^i 1\u4e2a\u8282\u70b9 \u6df1\u5ea6\u4e3ak\u7684\u4e8c\u53c9\u6811\u6700\u591a\u67092^k 1\u4e2a\u8282\u70b9 \u5bf9\u4efb\u610f\u4e8c\u53c9\u6811 \u53f6\u5b50\u6570 \u5ea6\u4e3a2\u7684\u8282\u70b9\u6570 1<\/p>\n<h5>4 \u904d\u5386\u65b9\u5f0f<\/h5>\n<p>\u524d\u5e8f\u904d\u5386 \u6839\u5de6\u53f3 \u5148\u8bbf\u95ee\u6839 \u518d\u5de6\u5b50\u6811 \u518d\u53f3\u5b50\u6811 \u4e2d\u5e8f\u904d\u5386 \u5de6\u6839\u53f3 \u5148\u5de6\u5b50\u6811 \u518d\u6839 \u518d\u53f3\u5b50\u6811 \u540e\u5e8f\u904d\u5386 \u5de6\u53f3\u6839 \u5148\u5de6\u5b50\u6811 \u518d\u53f3\u5b50\u6811 \u518d\u6839 \u5c42\u5e8f\u904d\u5386 \u6309\u5c42\u6b21\u4ece\u5de6\u5230\u53f3\u8bbf\u95ee<\/p>\n<p>\/\/ \u4e8c\u53c9\u6811\u8282\u70b9\u7ed3\u6784\u4f53<br \/>\ntypedef struct TreeNode {<br \/>\n    int val;                \/\/ \u8282\u70b9\u503c<br \/>\n    struct TreeNode *left;  \/\/ \u5de6\u5b50\u6811<br \/>\n    struct TreeNode *right; \/\/ \u53f3\u5b50\u6811<br \/>\n} TreeNode;<\/p>\n<p>\/\/ \u524d\u5e8f\u904d\u5386 \u6839\u5de6\u53f3<br \/>\nvoid preorder(TreeNode *root) {<br \/>\n    if (root &#061;&#061; NULL) return;<br \/>\n    printf(&#034;%d &#034;, root-&gt;val);  \/\/ \u8bbf\u95ee\u6839<br \/>\n    preorder(root-&gt;left);      \/\/ \u5de6\u5b50\u6811<br \/>\n    preorder(root-&gt;right);     \/\/ \u53f3\u5b50\u6811<br \/>\n}<\/p>\n<p>\/\/ \u4e2d\u5e8f\u904d\u5386 \u5de6\u6839\u53f3<br \/>\nvoid inorder(TreeNode *root) {<br \/>\n    if (root &#061;&#061; NULL) return;<br \/>\n    inorder(root-&gt;left);       \/\/ \u5de6\u5b50\u6811<br \/>\n    printf(&#034;%d &#034;, root-&gt;val);  \/\/ \u8bbf\u95ee\u6839<br \/>\n    inorder(root-&gt;right);      \/\/ \u53f3\u5b50\u6811<br \/>\n}<\/p>\n<p>\/\/ \u540e\u5e8f\u904d\u5386 \u5de6\u53f3\u6839<br \/>\nvoid postorder(TreeNode *root) {<br \/>\n    if (root &#061;&#061; NULL) return;<br \/>\n    postorder(root-&gt;left);     \/\/ \u5de6\u5b50\u6811<br \/>\n    postorder(root-&gt;right);    \/\/ \u53f3\u5b50\u6811<br \/>\n    printf(&#034;%d &#034;, root-&gt;val);  \/\/ \u8bbf\u95ee\u6839<br \/>\n} <\/p>\n<h4>\u56db \u524d\u5e8f\u4e2d\u5e8f\u6c42\u540e\u5e8f \u9012\u5f52\u7684\u827a\u672f<\/h4>\n<h5 style=\"background-color:transparent\">\u00a0\u95ee\u9898\u5f15\u5165<\/h5>\n<p>\u5df2\u77e5\u4e8c\u53c9\u6811\u524d\u5e8f\u5e8f\u5217\u548c\u4e2d\u5e8f\u5e8f\u5217 \u6c42\u540e\u5e8f\u5e8f\u5217 \u4f8b \u524d\u5e8fABDECF \u4e2d\u5e8fDBEAFC \u6c42\u540e\u5e8f<\/p>\n<h5>\u6838\u5fc3\u601d\u8def<\/h5>\n<p>\u524d\u5e8f\u5b9a\u6839 \u4e2d\u5e8f\u5206\u5de6\u53f3 \u9012\u5f52\u6c42\u89e3<\/p>\n<p>\u6b65\u9aa4<\/p>\n<p>1 \u524d\u5e8f\u7b2c\u4e00\u4e2a\u5143\u7d20\u662f\u6839\u8282\u70b9<\/p>\n<p>2 \u5728\u4e2d\u5e8f\u4e2d\u627e\u5230\u6839 \u5de6\u8fb9\u662f\u5de6\u5b50\u6811\u4e2d\u5e8f \u53f3\u8fb9\u662f\u53f3\u5b50\u6811\u4e2d\u5e8f<\/p>\n<p>3 \u6839\u636e\u5de6\u5b50\u6811\u8282\u70b9\u6570 \u5728\u524d\u5e8f\u4e2d\u5212\u5206\u5de6\u5b50\u6811\u524d\u5e8f\u53f3\u5b50\u6811\u524d\u5e8f<\/p>\n<p>4 \u9012\u5f52\u5904\u7406\u5de6\u5b50\u6811 \u5f97\u5de6\u540e\u5e8f \u9012\u5f52\u5904\u7406\u53f3\u5b50\u6811 \u5f97\u53f3\u540e\u5e8f<\/p>\n<p>5 \u540e\u5e8f \u5de6\u540e\u5e8f &#043; \u53f3\u540e\u5e8f &#043; \u6839<\/p>\n<h5>\u4ee3\u7801\u5b9e\u73b0<\/h5>\n<p>#include &lt;stdio.h&gt;<br \/>\n#include &lt;string.h&gt;<br \/>\n#include &lt;stdlib.h&gt;<\/p>\n<p>\/\/ \u6839\u636e\u524d\u5e8fpre\u548c\u4e2d\u5e8fin \u6c42\u540e\u5e8f \u8fd4\u56de\u540e\u5e8f\u5b57\u7b26\u4e32<br \/>\nchar* preInToPost(char *pre, char *in, int len) {<br \/>\n    if (len &lt;&#061; 0) {  \/\/ \u7a7a\u6811<br \/>\n        char *post &#061; (char*)malloc(1);<br \/>\n        post[0] &#061; &#039;\\\\0&#039;;<br \/>\n        return post;<br \/>\n    }<\/p>\n<p>    char root &#061; pre[0];  \/\/ \u524d\u5e8f\u9996\u5143\u7d20\u4e3a\u6839<br \/>\n    \/\/ \u5728\u4e2d\u5e8f\u4e2d\u627e\u6839\u4f4d\u7f6e<br \/>\n    int i;<br \/>\n    for (i &#061; 0; i &lt; len; i&#043;&#043;) {<br \/>\n        if (in[i] &#061;&#061; root) break;<br \/>\n    }  \/\/ i\u662f\u6839\u5728\u4e2d\u5e8f\u7684\u4f4d\u7f6e<\/p>\n<p>    int leftLen &#061; i;         \/\/ \u5de6\u5b50\u6811\u8282\u70b9\u6570<br \/>\n    int rightLen &#061; len &#8211; i &#8211; 1;  \/\/ \u53f3\u5b50\u6811\u8282\u70b9\u6570<\/p>\n<p>    \/\/ \u9012\u5f52\u5de6\u5b50\u6811 \u524d\u5e8f[1~leftLen] \u4e2d\u5e8f[0~i-1]<br \/>\n    char *leftPost &#061; preInToPost(pre &#043; 1, in, leftLen);<br \/>\n    \/\/ \u9012\u5f52\u53f3\u5b50\u6811 \u524d\u5e8f[1&#043;leftLen~end] \u4e2d\u5e8f[i&#043;1~end]<br \/>\n    char *rightPost &#061; preInToPost(pre &#043; 1 &#043; leftLen, in &#043; i &#043; 1, rightLen);<\/p>\n<p>    \/\/ 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