{"id":60113,"date":"2026-01-14T23:33:04","date_gmt":"2026-01-14T15:33:04","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/60113.html"},"modified":"2026-01-14T23:33:04","modified_gmt":"2026-01-14T15:33:04","slug":"%e5%bf%ab%e6%85%a2%e6%8c%87%e9%92%88%e5%a6%99%e8%a7%a3%e7%8e%af%e5%bd%a2%e9%93%be%e8%a1%a8","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/60113.html","title":{"rendered":"\u5feb\u6162\u6307\u9488\u5999\u89e3\u73af\u5f62\u94fe\u8868"},"content":{"rendered":"<p>1. \u73af\u5f62\u94fe\u8868\u68c0\u6d4b<\/p>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a;\u7ed9\u5b9a\u94fe\u8868\u5934\u8282\u70b9&#xff0c;\u5224\u65ad\u94fe\u8868\u4e2d\u662f\u5426\u6709\u73af\u3002<\/p>\n<p>\u89e3\u51b3\u65b9\u6848&#xff1a;\u5feb\u6162\u6307\u9488\u6cd5<\/p>\n<ul>\n<li>\n<p>\u7b97\u6cd5\u601d\u60f3&#xff1a;<\/p>\n<li>\u6162\u6307\u9488\u6bcf\u6b21\u79fb\u52a81\u6b65&#xff0c;\u5feb\u6307\u9488\u6bcf\u6b21\u79fb\u52a82\u6b65\u3002<\/li>\n<li>\u82e5\u94fe\u8868\u6709\u73af&#xff0c;\u5feb\u6162\u6307\u9488\u5fc5\u4f1a\u76f8\u9047&#xff08;\u7c7b\u4f3c\u73af\u5f62\u8dd1\u9053\u4e0a\u7684\u8ffd\u53ca\u95ee\u9898&#xff09;\u3002<\/li>\n<li>\u82e5\u5feb\u6307\u9488\u62b5\u8fbe\u94fe\u8868\u672b\u5c3e&#xff08;None&#xff09;&#xff0c;\u5219\u65e0\u73af\u3002<\/li>\n<\/li>\n<li>\n<p>\u6570\u5b66\u89e3\u91ca&#xff1a;<br \/>\n\u8bbe\u73af\u5468\u957f\u4e3a $c$&#xff0c;\u73af\u5165\u53e3\u5230\u76f8\u9047\u70b9\u8ddd\u79bb\u4e3a $d$&#xff0c;\u5934\u8282\u70b9\u5230\u73af\u5165\u53e3\u8ddd\u79bb\u4e3a $k$\u3002<br \/>\n\u76f8\u9047\u65f6\u6162\u6307\u9488\u79fb\u52a8\u8ddd\u79bb&#xff1a;$s &#061; k &#043; d$<br \/>\n\u5feb\u6307\u9488\u79fb\u52a8\u8ddd\u79bb&#xff1a;$2s &#061; k &#043; d &#043; mc$&#xff08;$m$\u4e3a\u6574\u6570&#xff09;<br \/>\n\u8054\u7acb\u5f97&#xff1a;$k &#043; d &#061; mc$&#xff0c;\u5373 $k &#061; mc &#8211; d$\u3002<br \/>\n\u56e0\u6b64&#xff0c;\u82e5\u5c06\u6162\u6307\u9488\u653e\u56de\u5934\u8282\u70b9&#xff0c;\u4e8c\u8005\u540c\u6b65\u79fb\u52a8 $k$ \u6b65\u5fc5\u5728\u73af\u5165\u53e3\u76f8\u9047\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p>def hasCycle(head):<br \/>\n    slow &#061; fast &#061; head<br \/>\n    while fast and fast.next:<br \/>\n        slow &#061; slow.next<br \/>\n        fast &#061; fast.next.next<br \/>\n        if slow &#061;&#061; fast:<br \/>\n            return True<br \/>\n    return False<\/p>\n<hr \/>\n<h4>2. \u4e24\u4e2a\u6570\u7ec4\u7684\u4ea4\u96c6<\/h4>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a;\u7ed9\u5b9a\u4e24\u4e2a\u6574\u6570\u6570\u7ec4&#xff0c;\u8fd4\u56de\u5b83\u4eec\u7684\u4ea4\u96c6&#xff08;\u5143\u7d20\u53ef\u91cd\u590d&#xff09;\u3002<\/p>\n<p>\u89e3\u51b3\u65b9\u6848&#xff1a;\u54c8\u5e0c\u8868\u8ba1\u6570\u6cd5<\/p>\n<ul>\n<li>\n<p>\u7b97\u6cd5\u601d\u60f3&#xff1a;<\/p>\n<li>\u7edf\u8ba1 nums1 \u4e2d\u6bcf\u4e2a\u5143\u7d20\u7684\u51fa\u73b0\u9891\u6b21\u3002<\/li>\n<li>\u904d\u5386 nums2&#xff0c;\u82e5\u5143\u7d20\u5728\u54c8\u5e0c\u8868\u4e2d\u4e14\u9891\u6b21 $&gt;0$&#xff0c;\u5219\u52a0\u5165\u7ed3\u679c\u5e76\u51cf\u5c11\u9891\u6b21\u3002<\/li>\n<\/li>\n<li>\n<p>\u6570\u5b66\u8868\u8fbe&#xff1a;<br \/>\n\u8bbe\u6570\u7ec4 $A$ \u957f\u5ea6\u4e3a $m$&#xff0c;$B$ \u957f\u5ea6\u4e3a $n$\u3002<br \/>\n\u65f6\u95f4\u590d\u6742\u5ea6&#xff1a;$O(m &#043; n)$<br \/>\n\u7a7a\u95f4\u590d\u6742\u5ea6&#xff1a;$O(\\\\min(m, n))$&#xff08;\u54c8\u5e0c\u8868\u5b58\u50a8\u8f83\u5c0f\u6570\u7ec4&#xff09;<\/p>\n<\/li>\n<\/ul>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p>def intersect(nums1, nums2):<br \/>\n    count &#061; {}<br \/>\n    res &#061; []<br \/>\n    for num in nums1:<br \/>\n        count[num] &#061; count.get(num, 0) &#043; 1<br \/>\n    for num in nums2:<br \/>\n        if num in count and count[num] &gt; 0:<br \/>\n            res.append(num)<br \/>\n            count[num] -&#061; 1<br \/>\n    return res<\/p>\n<hr \/>\n<h4>3. \u968f\u673a\u94fe\u8868\u7684\u6df1\u62f7\u8d1d<\/h4>\n<p>\u95ee\u9898\u63cf\u8ff0&#xff1a;\u6df1\u62f7\u8d1d\u4e00\u4e2a\u5e26\u968f\u673a\u6307\u9488\u7684\u94fe\u8868&#xff0c;\u5176\u4e2d random \u53ef\u80fd\u6307\u5411\u4efb\u610f\u8282\u70b9\u6216 None\u3002<\/p>\n<p>\u89e3\u51b3\u65b9\u6848&#xff1a;\u4e09\u6b65\u62c6\u89e3\u6cd5<\/p>\n<ul>\n<li>\u7b97\u6cd5\u601d\u60f3&#xff1a;\n<p class=\"img-center\"><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"386\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/01\/20260114153303-6967b72fa06c4.png\" width=\"1900\" \/><\/p>\n<li>\u521b\u5efa\u62f7\u8d1d\u8282\u70b9&#xff1a;\u5728\u539f\u8282\u70b9\u540e\u63d2\u5165\u65b0\u8282\u70b9&#xff08;\u5982 A\u2192A&#039;\u2192B\u2192B&#039;&#xff09;\u3002<\/li>\n<li>\u8fde\u63a5\u968f\u673a\u6307\u9488&#xff1a;\u82e5\u539f\u8282\u70b9 cur.random \u5b58\u5728&#xff0c;\u5219 cur.next.random &#061; cur.random.next\u3002<\/li>\n<li>\u5206\u79bb\u94fe\u8868&#xff1a;\u5c06\u65b0\u8282\u70b9\u5206\u79bb\u4e3a\u72ec\u7acb\u94fe\u8868\u3002<\/li>\n<\/li>\n<\/ul>\n<p>\u4ee3\u7801\u5b9e\u73b0&#xff1a;<\/p>\n<p>def copyRandomList(head):<br \/>\n    if not head: return None<br \/>\n    # 1. \u63d2\u5165\u62f7\u8d1d\u8282\u70b9<br \/>\n    cur &#061; head<br \/>\n    while cur:<br \/>\n        new_node &#061; Node(cur.val)<br \/>\n        new_node.next &#061; cur.next<br \/>\n        cur.next &#061; new_node<br \/>\n        cur &#061; new_node.next<br \/>\n    # 2. \u8fde\u63a5\u968f\u673a\u6307\u9488<br \/>\n    cur &#061; head<br \/>\n    while cur:<br \/>\n        if cur.random:<br \/>\n            cur.next.random &#061; cur.random.next<br \/>\n        cur &#061; cur.next.next<br \/>\n    # 3. \u5206\u79bb\u94fe\u8868<br \/>\n    cur &#061; head<br \/>\n    new_head &#061; head.next<br \/>\n    while cur:<br \/>\n        copy &#061; cur.next<br \/>\n        cur.next &#061; copy.next<br \/>\n        if copy.next:<br \/>\n            copy.next &#061; 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