{"id":1377,"date":"2024-12-26T01:32:41","date_gmt":"2024-12-25T17:32:41","guid":{"rendered":"http:\/\/blog.chxzking.cn\/?p=1377"},"modified":"2024-12-26T01:32:42","modified_gmt":"2024-12-25T17:32:42","slug":"%e5%bf%ab%e6%85%a2%e6%8c%87%e9%92%88%e5%af%bb%e6%89%be%e5%be%aa%e7%8e%af%e5%85%a5%e5%8f%a3","status":"publish","type":"post","link":"http:\/\/blog.chxzking.cn\/index.php\/2024\/12\/26\/%e5%bf%ab%e6%85%a2%e6%8c%87%e9%92%88%e5%af%bb%e6%89%be%e5%be%aa%e7%8e%af%e5%85%a5%e5%8f%a3\/","title":{"rendered":"\u5feb\u6162\u6307\u9488\u5bfb\u627e\u5faa\u73af\u5165\u53e3"},"content":{"rendered":"\n

\u7406\u8bba\u8bb2\u89e3<\/kbd><\/h2>\n\n\n\n

\u5feb\u6162\u6307\u9488\u662f\u4e00\u4e2a\u975e\u5e38\u7ecf\u5178\u662f\u7b97\u6cd5\u601d\u7ef4\uff0c\u5e38\u5e38\u88ab\u7528\u6765\u5728\u94fe\u8868\u4e2d\u5bfb\u627e\u5faa\u73af\u5165\u53e3\u3002<\/p>\n\n\n\n

\u5b83\u5728\u5b9e\u9645\u5f00\u53d1\u4e2d\u4e5f\u6709\u6bd4\u8f83\u5e7f\u6cdb\u7684\u4f7f\u7528\uff0c\u4f8b\u5982\uff1a\u5728\u5783\u573e\u56de\u6536\u7b97\u6cd5\uff08\u5982 Mark-Sweep\uff09\u4e2d\uff0c\u68c0\u6d4b\u5bf9\u8c61\u5f15\u7528\u94fe\u4e2d\u7684\u73af\u53ef\u4ee5\u5e2e\u52a9\u53d1\u73b0\u548c\u5904\u7406\u5185\u5b58\u6cc4\u6f0f\u95ee\u9898\u3002\u907f\u514d\u4e0d\u5fc5\u8981\u7684\u5bf9\u8c61\u5360\u7528\u5185\u5b58\u8d44\u6e90\u3002\u5728\u56fe\u7b97\u6cd5\u4e2d\uff0c\u68c0\u6d4b\u5faa\u73af\u53ef\u4ee5\u5e2e\u52a9\u8bc6\u522b\u56fe\u4e2d\u7684\u5f3a\u8fde\u901a\u5206\u91cf\u6216\u68c0\u6d4b\u6709\u5411\u56fe\u4e2d\u7684\u73af\u3002\u8fd9\u5bf9\u4e8e\u89e3\u51b3\u4f9d\u8d56\u5173\u7cfb\u3001\u4efb\u52a1\u8c03\u5ea6\u548c\u9879\u76ee\u7ba1\u7406\u7b49\u95ee\u9898\u81f3\u5173\u91cd\u8981\u3002\u4ee5\u53ca\u5728\u7f51\u7edc\u534f\u8bae\u6808\u4e2d\uff0c\u53ef\u4ee5\u4f7f\u7528\u7c7b\u4f3c\u7684\u7b97\u6cd5\u6765\u68c0\u6d4b\u6570\u636e\u5305\u5728\u7f51\u7edc\u8def\u5f84\u4e2d\u7684\u73af\u8def\u3002\u8fd9\u6709\u52a9\u4e8e\u9632\u6b62\u6570\u636e\u5305\u5728\u7f51\u7edc\u4e2d\u65e0\u9650\u5faa\u73af\uff0c\u63d0\u9ad8\u7f51\u7edc\u6548\u7387\u548c\u5b89\u5168\u6027\u3002<\/p>\n\n\n\n

\u63a5\u4e0b\u6765\u5177\u4f53\u8bb2\u89e3\u8fd9\u4e2a\u7b97\u6cd5\u7684\u601d\u60f3\u3002<\/p>\n\n\n\n

\u5b58\u5728\u5faa\u73af\u7ed3\u7684\u94fe\u8868\u7684\u6a21\u578b\u5982\u4e0b<\/p>\n\n\n\n

\"\"<\/div>
\u5faa\u73af\u7ed3\u6784<\/figcaption><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

\u901a\u8fc7\u7b80\u5355\u7684\u903b\u8f91\u601d\u8003\uff0c\u53ef\u4ee5\u5f97\u51fa\u4e00\u4e2a\u7ed3\u8bba\uff1a\u5f53\u5feb\u6307\u9488\u8fdb\u5165\u5faa\u73af\u8282\u540e\uff0c\u603b\u4f1a\u88ab\u6162\u6307\u9488\u8ffd\u4e0a\uff0c\u6216\u8005\u8bf4\u662f\u5feb\u6307\u9488\u8f6c\u4e86\u81f3\u5c111\u5708\u540e\u4f1a\u8d85\u8fc7\u6162\u6307\u9488\u3002\u4f46\u662f\u8fd9\u4e2a\u53ea\u662f\u4e00\u4e2a\u901a\u8fc7\u6734\u7d20\u7684\u601d\u8003\u5f97\u51fa\u7684\u7ed3\u8bba\uff0c\u5b9e\u9645\u4e0a\u8fd8\u5b58\u5728\u66f4\u52a0\u5e95\u5c42\u7684\u7ed3\u8bba\u2014\u2014\u6162\u6307\u9488\u4e00\u5b9a\u4f1a\u5728\u7b2c\u4e00\u5708\u4e2d\u88ab\u5feb\u6307\u9488\u8d85\u8d8a\u3002<\/p>\n\n\n\n

\u63a5\u4e0b\u6765\u6211\u5c06\u63a8\u5bfc\u51fa\u8fd9\u4e2a\u7ed3\u8bba\u3002\u5148\u770b\u770b\u5feb\u6307\u9488\u8d85\u8d8a\u6162\u6307\u9488\u7684\u60c5\u51b5\uff1a<\/p>\n\n\n\n

\"\"<\/div>
\u76f8\u90bb\u7684\u60c5\u51b5<\/figcaption><\/figure>\n\n\n\n

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\"\"<\/div>
\u4e0d\u76f8\u90bb\u60c5\u51b5<\/figcaption><\/figure>\n\n\n\n

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\"\"<\/div><\/figure>\n\n\n\n

\u5c06\u65f6\u95f4\u8f74\u94fa\u5f00\uff0c\u5728\u6162\u6307\u9488\u8fdb\u5165\u5230\u4e86\u5faa\u73af\u5165\u53e3\u7684\u65f6\u5019\uff0c\u5feb\u6307\u9488\u5f00\u59cb\u8ffd\u51fb\uff0c\u800c\u5feb\u6307\u9488\u7684\u901f\u5ea6\u662f\u6162\u6307\u9488\u7684\u4e24\u500d\uff0c\u6240\u4ee5\u5feb\u6307\u9488\u5728\u4ece\u548c\u6162\u6307\u9488\u8fdb\u5165\u5faa\u73af\u8282\u7684\u77ac\u95f4\u89e6\u53d1\u5230\u505c\u4e0b\u6765\uff0c\u4f1a\u5b8c\u6210\u4e24\u4e2a\u5faa\u73af\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u6162\u6307\u9488\u4e00\u5708\u5b8c\u6210\u7684\u65f6\u5019\uff0c\u5feb\u6307\u9488\u5df2\u7ecf\u5728\u7b2c\u4e8c\u5708\u8d70\u4e86\u4e00\u90e8\u5206\u4e86\uff0c\u7531\u6b64\u53ef\u4ee5\u63a8\u65ad\uff0c\u5feb\u6307\u9488\u4e00\u5b9a\u5728\u6162\u6307\u9488\u8fdb\u5165\u7684\u7b2c\u4e00\u5708\u4e2d\u51fa\u73b0\u4e86\u8d85\u8d8a\u884c\u4e3a\u3002\u4e4b\u524d\u8bc1\u660e\u4e86\u7ed3\u8bba\u201c\u53ea\u8981\u5feb\u6307\u9488\u8d85\u8fc7\u4e86\u6162\u6307\u9488\uff0c\u5219\u4e00\u5b9a\u53d1\u751f\u4e86\u76f8\u9047\u201d\uff0c\u6240\u4ee5\u53ef\u4ee5\u63a8\u65ad\u51fa\uff0c\u5feb\u6307\u9488\u5728\u6162\u6307\u9488\u65cb\u8f6c\u7684\u7b2c\u4e00\u5708\u4e2d\u51fa\u73b0\u4e86\u76f8\u9047\u3002<\/p>\n\n\n\n

\"\"<\/div><\/figure>\n\n\n\n

\u5047\u8bbe\u5faa\u73af\u8282\u662f\u9006\u65f6\u9488\u65cb\u8f6c\uff0cp\u70b9\u4e3a\u76f8\u9047\u70b9\uff0c\u90a3\u4e48\u5c31\u53ef\u4ee5\u5c06\u6574\u4e2a\u94fe\u8868\u5212\u5206\u4e3a3\u6bb5\u3002<\/p>\n\n\n\n

\u6839\u636e\u5feb\u6307\u9488\u8d70\u7684\u8ddd\u79bb\u957f\u5ea6\u662f\u6162\u6307\u9488\u8d70\u7684\u8ddd\u79bb\u957f\u5ea6\u7684\u4e24\u500d\uff0c\u53ef\u4ee5\u5f97\u51fa\u4e00\u4e2a\u7b49\u5f0f\uff1a<\/p>\n\n\n\n

2(L + X) = (L + X) + n(X + Y)<\/p><\/blockquote><\/figure>\n\n\n\n

\u8fd9\u4e2a\u7b49\u5f0f\u7684\u542b\u4e49\u662f\uff0c\u5feb\u6307\u9488\u7b49\u5f0f\u7684\u542b\u4e49\u4e3a\uff1a\u6162\u6307\u9488\u8d70\u7684\u8ddd\u79bb\u52a0\u4e0a\u8fd8\u6709\u81ea\u5df1\u7531\u4e8e\u8de8\u5ea6\u5927\u591a\u8d70\u4e86\u51e0\u4e2a\u5faa\u73af\u3002<\/p>\n\n\n\n

\u60f3\u77e5\u9053\u5165\u53e3\u7684\u4f4d\u7f6e\uff0c\u90a3\u4e48\u53ea\u9700\u8981\u8ba1\u7b97\u51faL\u7684\u957f\u5ea6\u4fbf\u53ef\uff0c\u90a3\u4e48\u7b49\u5f0f\u5c31\u53ef\u4ee5\u8f6c\u5316\u4e00\u4e0b\uff1a<\/p>\n\n\n\n

L + X = n(X + Y)
L = n(X + Y) – X
L = (n-1)(X + Y) + Y<\/p><\/blockquote><\/figure>\n\n\n\n

\u90a3\u4e48\u5c31\u53ef\u4ee5\u901a\u8fc7\u8868\u8fbe\u5f0f\u770b\u51e0\u4f55\u610f\u4e49\uff0c\u9996\u5148\u8bc1\u660e\u8fc7\u5feb\u6307\u9488\u8ffd\u4e0a\u6162\u6307\u9488\u81f3\u5c11\u8981\u5faa\u73af\u4e00\u5708\u90a3\u4e48n\u5c31\u4e00\u5b9a\u22651\uff0c\u6240\u4ee5n-1\u4e00\u5b9a\u5927\u4e8e\u7b49\u4e8e0\u3002<\/p>\n\n\n\n

\u6b64\u5916\u5728\u89c2\u5bdf\u8868\u8fbe\u5f0f\u4f1a\u53d1\u73b0\u4e00\u4e2a\u7279\u522b\u6709\u8da3\u7684\u70b9\uff1a(n-1)(X + Y)<\/code>\u51e0\u4f55\u610f\u4e49\u662f\u7ed5\u7740\u5faa\u73af\u8282\u8f6c\u5708\uff0c\u90a3\u4e48\u5728\u5bf9\u4e8e\u6700\u7ec8\u79fb\u52a8\u957f\u5ea6\u6ca1\u6709\u4efb\u4f55\u5f71\u54cd\uff0c\u53ef\u4ee5\u770b\u4f5c\u662f\u539f\u5730\u8e0f\u6b65\uff0c\u6240\u4ee5(n-1)(X + Y) + Y<\/code> \u7684\u7b49\u6548\u8ddd\u79bb\u5c31\u662fY<\/code> \u3002\u6240\u4ee5\u5728\u7b49\u6548\u8ddd\u79bb\u4e0a\uff0c\u8fd9\u4e2a\u8868\u8fbe\u5f0f\u53ef\u4ee5\u5199\u4f5c\uff1aL = Y<\/code><\/p>\n\n\n\n

\u800c\u6b64\u5916Y\u7684\u542b\u4e49\u662f\u76f8\u9047\u70b9P\u5230\u5faa\u73af\u5165\u53e3\u7684\u8ddd\u79bb\uff0c\u800cL\u7684\u542b\u4e49\u662f\u94fe\u8868\u8d77\u70b9\u5230\u5165\u53e3\u7684\u8ddd\u79bb\uff0c\u8fd9\u5c31\u63a8\u5bfc\u51fa\u4e86\u4e00\u4e2a\u53ca\u5176\u9707\u64bc\u7684\u7ed3\u8bba\uff1a<\/p>\n\n\n\n

\u5982\u679c\u4e00\u4e2a\u6307\u9488\u4ece\u8d77\u59cb\u8282\u70b9\u4e00\u76f4\u5f80\u524d\u8d70\uff0c\u53e6\u4e00\u4e2a\u6307\u9488\u4eceP\u70b9\u5f00\u59cb\u5f80\u524d\u8d70\uff0c\u90a3\u4e48\u4e24\u4e2a\u6307\u9488\u4f1a\u5728\u5165\u53e3\u76f8\u9047\u3002<\/mark><\/p>\n\n\n\n

\u5b9e\u6218<\/h2>\n\n\n\n

\u6570\u7ec4a[N],\u5b58\u653e\u4e861\u81f3N-1\u4e2a\u6570,\u5176\u4e2d\u67d0\u4e2a\u6570\u91cd\u590d\u4e86\u4e00\u6b21\u3002\u5199\u4e00\u4e2a\u51fd\u6570,\u5c3d\u5feb\u627e\u51fa\u88ab\u91cd\u590d\u7684\u6570\u5b57\u5e76\u8fd4\u56de\u4e4b\u3002
int do_dup(inta[],intN){

}<\/p>\n\n\n\n

\n\n\n\n

\u8fd9\u4e00\u9898\u5c31\u662f\u5178\u578b\u7684\u53cc\u6307\u9488\u5bfb\u627e\u5faa\u73af\u5165\u53e3\u7684\u9898\u76ee\u3002<\/p>\n\n\n\n

\u7531\u9898\u76ee\u53ef\u5f97\uff0c\u6570\u7ec4\u7684\u5143\u7d20\u672c\u8d28\u4e0a\u53ef\u4ee5\u770b\u4f5c\u4e0b\u4e00\u4e2a\u5143\u7d20\u7684\u4e0b\u6807\uff0c\u4e8e\u662f\u6240\u6709\u7684\u6570\u7ec4\u5c31\u4ee5\u94fe\u8868\u7684\u601d\u8def\u8054\u7cfb\u4e86\u8d77\u6765\u3002<\/p>\n\n\n\n

\u53c2\u8003\u4ee3\u7801\uff1a<\/p>\n\n\n\n

#include <stdio.h>\n\nint do_dup(int a[], int N) {\n    int slow = a[0];\n    int fast = a[0];\n\n    \/\/ \u9636\u6bb5 1\uff1a\u627e\u5230\u5faa\u73af\u4e2d\u7684\u76f8\u9047\u70b9\n    do {\n        slow = a[slow];\n        fast = a[a[fast]];\n    } while (slow != fast);\n    putchar(10);\n    \/\/ \u9636\u6bb5 2\uff1a\u627e\u5230\u5faa\u73af\u7684\u8d77\u70b9\n    slow = a[0];\n    while (slow != fast) {\n        slow = a[slow];\n        fast = a[fast];\n    }\n\n    return slow;\n}\n\nint main() {\n    int a[] = { 1, 3,11, 4 ,2 ,7, 8 , 2, 10,6 ,5, 9};\n    int N = sizeof(a) \/ sizeof(a[0]);\n    int duplicate = do_dup(a, N);\n    printf(\"\u91cd\u590d\u7684\u6570\u5b57\u662f: %d\\n\", duplicate);\n    return 0;\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"
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