{"id":294762,"date":"2024-05-20T15:18:31","date_gmt":"2024-05-20T07:18:31","guid":{"rendered":"https:\/\/docs.pingcode.com\/ask\/ask-ask\/294762.html"},"modified":"2024-05-20T15:19:02","modified_gmt":"2024-05-20T07:19:02","slug":"the-%e5%87%bd%e6%95%b0%e5%bc%8f%e7%ba%bf%e6%ae%b5%e6%a0%91%e5%a6%82%e4%bd%95%e5%ae%9e%e7%8e%b0","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/294762.html","title":{"rendered":"THE \u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u5982\u4f55\u5b9e\u73b0"},"content":{"rendered":"

\"THE<\/p>\n

\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u662f\u4e00\u79cd\u652f\u6301\u4e0d\u53ef\u53d8\u64cd\u4f5c\u7684\u6570\u636e\u7ed3\u6784\uff0c\u4e3b\u8981\u7528\u4e8e\u5904\u7406\u533a\u95f4\u67e5\u8be2\u548c\u4fee\u6539\u95ee\u9898\u3002\u5b83\u901a\u8fc7\u6301\u4e45\u5316\u6280\u672f<\/strong>\u4fdd\u5b58\u6bcf\u6b21\u64cd\u4f5c\u540e\u7684\u72b6\u6001\uff0c\u4ee5\u5b9e\u73b0\u5bf9\u5386\u53f2\u4fe1\u606f\u7684\u67e5\u8be2\u3002\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u7684\u5b9e\u73b0\u5173\u952e\u5728\u4e8e\uff1a\u91c7\u7528\u6301\u4e45\u5316\u6570\u636e\u7ed3\u6784\u3001\u4fee\u6539\u64cd\u4f5c\u65f6\u590d\u5236\u53d8\u52a8\u8def\u5f84\u8282\u70b9\u3001\u4fdd\u6301\u5176\u4ed6\u8282\u70b9\u4e0d\u53d8\u3001\u6709\u6548\u7ba1\u7406\u5185\u5b58\u6765\u5b58\u50a8\u591a\u4e2a\u7248\u672c\u7684\u6570\u636e\u7ed3\u6784\u3002<\/strong> \u5176\u4e2d\uff0c\u91c7\u7528\u6301\u4e45\u5316\u6570\u636e\u7ed3\u6784\u7684\u65b9\u6cd5\u662f\u5b9e\u73b0\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u7684\u6838\u5fc3\u3002<\/p>\n<\/p>\n

\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u5728\u4fee\u6539\u64cd\u4f5c\u65f6\uff0c\u4e0d\u662f\u76f4\u63a5\u5728\u539f\u6709\u6570\u636e\u7ed3\u6784\u4e0a\u4fee\u6539\uff0c\u800c\u662f\u5c06\u6cbf\u9014\u7ecf\u8fc7\u7684\u8282\u70b9\u590d\u5236\u4e00\u4efd\uff0c\u5e76\u5728\u590d\u5236\u7684\u8282\u70b9\u4e0a\u8fdb\u884c\u4fee\u6539\u3002\u8fd9\u6837\u53ef\u4ee5\u4fdd\u8bc1\u539f\u6709\u7684\u7ebf\u6bb5\u6811\u7248\u672c\u4e0d\u53d8\uff0c\u4ece\u800c\u8fbe\u5230\u6301\u4e45\u5316\u7684\u6548\u679c\u3002\u7531\u4e8e\u6bcf\u6b21\u4fee\u6539\u90fd\u53ea\u6d89\u53ca\u5230\u8def\u5f84\u4e0a\u7684\u8282\u70b9\uff0c\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u6240\u9700\u7684\u989d\u5916\u7a7a\u95f4\u662f\u975e\u5e38\u6709\u9650\u7684\uff0c\u800c\u67e5\u8be2\u64cd\u4f5c\u5219\u53ef\u4ee5\u5728\u4efb\u4f55\u4e00\u4e2a\u7248\u672c\u4e0a\u9ad8\u6548\u5730\u8fdb\u884c\uff0c\u4e0d\u4f1a\u5f71\u54cd\u5230\u5176\u4ed6\u7248\u672c\u7684\u7ed3\u6784\u3002<\/p>\n<\/p>\n

\u4e00\u3001\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u7684\u57fa\u672c\u6982\u5ff5<\/h3>\n<\/p>\n

\u6301\u4e45\u5316\u6570\u636e\u7ed3\u6784<\/h4>\n<\/p>\n

\u6301\u4e45\u5316\u6570\u636e\u7ed3\u6784\u662f\u6307\u6570\u636e\u7ed3\u6784\u7684\u4e00\u6b21\u64cd\u4f5c\u540e\uff0c\u4e4b\u524d\u7684\u72b6\u6001\u4f9d\u7136\u80fd\u591f\u8bbf\u95ee\u5230\u7684\u4e00\u79cd\u7279\u522b\u7684\u6570\u636e\u7ed3\u6784\u3002\u5728\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u4e2d\uff0c\u6301\u4e45\u5316\u610f\u5473\u7740\u6bcf\u6b21\u5bf9\u7ebf\u6bb5\u6811\u7684\u64cd\u4f5c\uff0c\u90fd\u4f1a\u751f\u6210\u4e00\u4e2a\u65b0\u7684\u7248\u672c\uff0c\u800c\u4e0d\u53bb\u7834\u574f\u539f\u6709\u7248\u672c\u7684\u6570\u636e\u3002<\/p>\n<\/p>\n

\u8282\u70b9\u590d\u5236\u548c\u8def\u5f84\u6301\u4e45\u5316<\/h4>\n<\/p>\n

\u5728\u5b9e\u73b0\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u65f6\uff0c\u6bcf\u6b21\u4fee\u6539\u6216\u8005\u63d2\u5165\u64cd\u4f5c\u4ec5\u9700\u590d\u5236\u4ece\u6839\u8282\u70b9\u5230\u76ee\u6807\u8282\u70b9\u7684\u8def\u5f84\u4e0a\u6240\u6709\u8282\u70b9\uff0c\u66f4\u65b0\u8fd9\u4e9b\u8282\u70b9\u7684\u4fe1\u606f\uff0c\u5e76\u6307\u5411\u672a\u88ab\u4fee\u6539\u7684\u5b50\u6811\u5373\u53ef\u3002\u8fd9\u79cd\u65b9\u6cd5\u88ab\u79f0\u4e3a\u8def\u5f84\u6301\u4e45\u5316\u3002<\/p>\n<\/p>\n

\u4e8c\u3001\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u7684\u5b9e\u73b0\u6b65\u9aa4<\/h3>\n<\/p>\n

\u6784\u5efa\u7ebf\u6bb5\u6811<\/h4>\n<\/p>\n

\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u7684\u6784\u5efa\u4e0e\u666e\u901a\u7ebf\u6bb5\u6811\u7c7b\u4f3c\uff0c\u9700\u8981\u5148\u5efa\u7acb\u4e00\u4e2a\u57fa\u7840\u7684\u7ebf\u6bb5\u6811\u3002\u8be5\u8fc7\u7a0b\u6d89\u53ca\u9012\u5f52\u5730\u5c06\u6570\u636e\u5206\u7ec4\uff0c\u6bcf\u4e2a\u8282\u70b9\u4ee3\u8868\u4e00\u4e2a\u7279\u5b9a\u7684\u533a\u95f4\uff0c\u76f4\u5230\u533a\u95f4\u5185\u53ea\u5305\u542b\u4e00\u4e2a\u5143\u7d20\uff0c\u4e3a\u53f6\u5b50\u8282\u70b9\u3002<\/p>\n<\/p>\n

\u6301\u4e45\u5316\u4fee\u6539\u64cd\u4f5c<\/h4>\n<\/p>\n

\u8fdb\u884c\u4fee\u6539\u65f6\uff0c\u4ece\u6839\u8282\u70b9\u51fa\u53d1\uff0c\u6cbf\u7740\u9700\u8981\u4fee\u6539\u7684\u70b9\u7684\u8def\u5f84\u5411\u4e0b\u8fdb\u884c\uff0c\u5e76\u590d\u5236\u7ecf\u8fc7\u7684\u8282\u70b9\u3002\u5bf9\u4e8e\u6bcf\u4e2a\u9700\u8981\u590d\u5236\u7684\u8282\u70b9\uff0c\u521b\u5efa\u4e00\u4e2a\u65b0\u8282\u70b9\uff0c\u590d\u5236\u539f\u8282\u70b9\u7684\u503c\u548c\u5b50\u8282\u70b9\u6307\u9488\uff0c\u7136\u540e\u6839\u636e\u5177\u4f53\u7684\u4fee\u6539\u64cd\u4f5c\u66f4\u65b0\u65b0\u8282\u70b9\u7684\u503c\u548c\u6307\u9488\u3002<\/p>\n<\/p>\n

\u67e5\u8be2\u64cd\u4f5c<\/h4>\n<\/p>\n

\u67e5\u8be2\u64cd\u4f5c\u5728\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u4e2d\u975e\u5e38\u7b80\u5355\u4e14\u4e0e\u666e\u901a\u7ebf\u6bb5\u6811\u7c7b\u4f3c\u3002\u53ea\u9700\u9009\u62e9\u76f8\u5e94\u7684\u7248\u672c\u8fdb\u884c\u67e5\u8be2\u5373\u53ef\u3002\u56e0\u4e3a\u6240\u6709\u7248\u672c\u7684\u7ebf\u6bb5\u6811\u5171\u4eab\u672a\u66f4\u6539\u7684\u90e8\u5206\uff0c\u6240\u4ee5\u67e5\u8be2\u6548\u7387\u975e\u5e38\u9ad8\u3002<\/p>\n<\/p>\n

\u4e09\u3001\u6570\u636e\u7ed3\u6784\u5b9a\u4e49\u548c\u57fa\u7840\u51fd\u6570<\/h3>\n<\/p>\n

\u8282\u70b9\u7ed3\u6784\u5b9a\u4e49<\/h4>\n<\/p>\n

struct Node {<\/p>\n
  int val;<\/p>\n
  Node *left, *right;<\/p>\n
  Node() : val(0), left(nullptr), right(nullptr) {}<\/p>\n
};<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u521b\u5efa\u57fa\u7840\u7ebf\u6bb5\u6811<\/h4>\n<\/p>\n
Node* build(int start, int end) {<\/p>\n
  Node* node = new Node();<\/p>\n
  if (start == end) {<\/p>\n
    \/\/ \u521d\u59cb\u5316\u53f6\u5b50\u8282\u70b9<\/p>\n
  } else {<\/p>\n
    int mid = start + (end - start) \/ 2;<\/p>\n
    node->left = build(start, mid);<\/p>\n
    node->right = build(mid + 1, end);<\/p>\n
  }<\/p>\n
  return node;<\/p>\n
}<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u4fee\u6539\u64cd\u4f5c\u5b9e\u73b0<\/h4>\n<\/p>\n
Node* modify(Node* root, int start, int end, int idx, int val) {<\/p>\n
  Node* newNode = new Node(*root); \/\/ \u590d\u5236\u8282\u70b9<\/p>\n
  if(start == end) {<\/p>\n
    \/\/ \u4fee\u6539\u53f6\u5b50\u8282\u70b9\u7684\u503c<\/p>\n
  } else {<\/p>\n
    int mid = start + (end - start) \/ 2;<\/p>\n
    if(idx <= mid) {<\/p>\n
      newNode->left = modify(root->left, start, mid, idx, val);<\/p>\n
    } else {<\/p>\n
      newNode->right = modify(root->right, mid + 1, end, idx, val);<\/p>\n
    }<\/p>\n
    \/\/ \u66f4\u65b0\u8282\u70b9\u7684\u503c\uff0c\u4f8b\u5982\u91cd\u65b0\u8ba1\u7b97\u533a\u95f4\u548c<\/p>\n
  }<\/p>\n
  return newNode;<\/p>\n
}<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u67e5\u8be2\u64cd\u4f5c\u5b9e\u73b0<\/h4>\n<\/p>\n
int query(Node* root, int start, int end, int L, int R) {<\/p>\n
 if (L <= start && end <= R) {<\/p>\n
    return root->val;<\/p>\n
  }<\/p>\n
  int mid = start + (end - start) \/ 2;<\/p>\n
  int result = 0;<\/p>\n
  if (L <= mid) {<\/p>\n
    result += query(root->left, start, mid, L, R);<\/p>\n
  }<\/p>\n
  if (mid < R) {<\/p>\n
    result += query(root->right, mid + 1, end, L, R);<\/p>\n
  }<\/p>\n
  return result;<\/p>\n
}<\/p>\n
<\/code><\/pre>\n<\/p>\n
\u56db\u3001\u4f18\u5316\u548c\u5e94\u7528\u573a\u666f<\/h3>\n<\/p>\n
\u5185\u5b58\u7ba1\u7406<\/h4>\n<\/p>\n
\u9274\u4e8e\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u6bcf\u6b21\u4fee\u6539\u90fd\u4f1a\u4ea7\u751f\u65b0\u7684\u8282\u70b9\uff0c\u56e0\u6b64\u6709\u6548\u7684\u5185\u5b58\u7ba1\u7406\u53d8\u5f97\u5341\u5206\u91cd\u8981\u3002\u53ef\u4ee5\u91c7\u7528\u5185\u5b58\u6c60\u6280\u672f\u6765\u51cf\u5c11\u5185\u5b58\u5206\u914d\u7684\u5f00\u9500\u548c\u907f\u514d\u5185\u5b58\u788e\u7247\u3002<\/p>\n<\/p>\n
\u5e94\u7528\u573a\u666f<\/h4>\n<\/p>\n
\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u5728\u5904\u7406\u591a\u4e2a\u7248\u672c\u7684\u533a\u95f4\u67e5\u8be2\u6216\u4fee\u6539\u64cd\u4f5c\u65f6\u5177\u6709\u72ec\u7279\u4f18\u52bf\uff0c\u5982\u5728\u7248\u672c\u63a7\u5236\u3001\u64a4\u9500\u64cd\u4f5c\u3001\u4fdd\u6301\u5386\u53f2\u8bb0\u5f55\u7b49\u65b9\u9762\u6709\u5e7f\u6cdb\u7684\u5e94\u7528\u3002<\/p>\n<\/p>\n
\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u5b9e\u73b0\u7684\u5173\u952e\u5728\u4e8e\u6301\u4e45\u5316\u64cd\u4f5c\uff0c\u8fd9\u9700\u8981\u6df1\u5165\u7406\u89e3\u6570\u636e\u7ed3\u6784\u7684\u4e0d\u53d8\u6027\u4ee5\u53ca\u5982\u4f55\u5408\u7406\u5730\u7ba1\u7406\u5185\u5b58\u3002\u5b83\u63d0\u4f9b\u4e86\u5f3a\u5927\u7684\u529f\u80fd\uff0c\u5c24\u5176\u662f\u5728\u5904\u7406\u9700\u8981\u8bbf\u95ee\u5386\u53f2\u6570\u636e\u7684\u95ee\u9898\u65f6\uff0c\u80fd\u591f\u63d0\u4f9b\u9ad8\u6548\u7075\u6d3b\u7684\u89e3\u51b3\u65b9\u6848\u3002\u4e0d\u8fc7\uff0c\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u5728\u5b9e\u9645\u5e94\u7528\u4e2d\u53ef\u80fd\u4f1a\u5e26\u6765\u4e00\u4e9b\u989d\u5916\u7684\u7a7a\u95f4\u5f00\u9500\uff0c\u56e0\u800c\u5bf9\u7a7a\u95f4\u4f18\u5316\u4e5f\u662f\u5b9e\u73b0\u4e2d\u4e00\u4e2a\u9700\u8981\u6ce8\u610f\u7684\u70b9\u3002<\/p>\n<\/p>\n
\u76f8\u5173\u95ee\u7b54FAQs\uff1a<\/strong><\/h2>\n
Q\uff1a\u51fd\u6570\u5f0f\u7ebf\u6bb5\u6811\u6709\u54ea\u4e9b\u5e38\u89c1\u7684\u5b9e\u73b0\u65b9\u5f0f\uff1f<\/strong><\/p>\n
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