{"id":72662,"date":"2026-02-06T11:17:32","date_gmt":"2026-02-06T03:17:32","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/72662.html"},"modified":"2026-02-06T11:17:32","modified_gmt":"2026-02-06T03:17:32","slug":"day24-%e4%bb%a3%e7%a0%81%e9%9a%8f%e6%83%b3%e5%bd%95%e7%ae%97%e6%b3%95%e8%ae%ad%e7%bb%83%e8%90%a5-%e5%9b%9e%e6%ba%af%e4%b8%93%e9%a2%983","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/72662.html","title":{"rendered":"day24 \u4ee3\u7801\u968f\u60f3\u5f55\u7b97\u6cd5\u8bad\u7ec3\u8425 \u56de\u6eaf\u4e13\u98983"},"content":{"rendered":"

1 \u4eca\u65e5\u6253\u5361<\/h2>\n

\u590d\u539fIP\u5730\u5740\u00a093. \u590d\u539f IP \u5730\u5740 – \u529b\u6263（LeetCode）<\/p>\n

\u5b50\u96c6\u00a078. \u5b50\u96c6 – \u529b\u6263（LeetCode）<\/p>\n

\u5b50\u96c6\u2161\u00a090. \u5b50\u96c6 II – \u529b\u6263（LeetCode）<\/p>\n<\/p>\n

2 \u590d\u539fIP\u5730\u5740<\/h2>\n

2.1 \u601d\u8def<\/h3>\n

startIndex：\u5b57\u7b26\u4e32\u5f53\u524d\u5206\u5272\u7684\u8d77\u59cb\u7d22\u5f15（\u907f\u514d\u91cd\u590d\u5206\u5272\u5b57\u7b26） pointNum：\u5df2\u6dfb\u52a0\u7684\u70b9\u7684\u6570\u91cf（\u70b9\u7684\u6570\u91cf\u4e3a 3 \u65f6，\u8bf4\u660e\u5df2\u5206\u6210 4 \u6bb5，\u89e6\u53d1\u7ec8\u6b62\u6761\u4ef6） \u7ec8\u6b62\u6761\u4ef6：\u70b9\u7684\u6570\u91cfpointNum == 3，\u6b64\u65f6\u53ea\u9700\u9a8c\u8bc1\u6700\u540e\u4e00\u6bb5\u662f\u5426\u5408\u6cd5，\u5408\u6cd5\u5219\u62fc\u63a5\u6210 IP \u5730\u5740\u52a0\u5165\u7ed3\u679c\u96c6 \u5355\u5c42\u9012\u5f52\u903b\u8f91：\u4ecestartIndex\u5f00\u59cb，\u904d\u5386\u5b57\u7b26\u4e32\u5c1d\u8bd5\u5206\u5272\u51fa1~3 \u4f4d\u7684\u5b50\u4e32（IP \u6bb5\u6700\u591a 3 \u4f4d），\u9a8c\u8bc1\u5b50\u4e32\u5408\u6cd5\u540e，\u5c06\u5176\u52a0\u5165\u4e34\u65f6\u8def\u5f84，\u9012\u5f52\u5904\u7406\u4e0b\u4e00\u6bb5，\u9012\u5f52\u7ed3\u675f\u540e\u56de\u6eaf\u91cd\u7f6e\u72b6\u6001（\u79fb\u9664\u4e34\u65f6\u8def\u5f84\u7684\u6700\u540e\u4e00\u6bb5\u3001\u70b9\u7684\u6570\u91cf\u51cf 1） \u5408\u6cd5\u6027\u6821\u9a8c：\u5355\u72ec\u5c01\u88c5isValid\u65b9\u6cd5，\u5224\u65ad\u5206\u5272\u51fa\u7684\u5b50\u4e32\u662f\u5426\u4e3a\u6709\u6548 IP \u6bb5<\/p>\n

\u7528 List<String>\u5b58\u50a8\u8def\u5f84，\u800c\u4e0d\u662f StringBuilder，\u5426\u5219\u4f1a\u5f88\u590d\u6742\u3002<\/p>\n

\u5728\u5408\u6cd5\u6027\u6821\u9a8c\u4e2d，\u9700\u8981\u52a0start > end\u8fd4\u56deflase\u7684\u5224\u65ad，\u5426\u5219\u4f1a\u51fa\u73b0\u7a7a\u6307\u9488\u5f02\u5e38\u3002\u56e0\u4e3a\u5982\u679c\u524d\u9762\u4e09\u6bb5\u628a\u5b57\u7b26\u4e32\u5206\u5272\u5b8c\u4e86，\u518d\u8fdb\u5165\u4e0b\u4e00\u5c42\u9012\u5f52\u7684\u65f6\u5019，start\u7684\u503c\u4f1a\u6bd4end\u8fd8\u5927，\u8fd9\u4e2a\u65f6\u5019s.charAt(start)\u5c31\u4f1a\u6709\u7a7a\u6307\u9488\u5f02\u5e38\u3002<\/p>\n

\"\"<\/p>\n

2.2 \u5b9e\u73b0\u4ee3\u7801<\/h3>\n

class Solution {
\n \/\/ \u7ed3\u679c\u96c6：\u5b58\u50a8\u6240\u6709\u5408\u6cd5\u7684IP\u5730\u5740
\n List<String> res = new ArrayList<>();
\n \/\/ \u8def\u5f84\u96c6：\u5b58\u50a8\u56de\u6eaf\u8fc7\u7a0b\u4e2d\u5206\u5272\u51fa\u7684\u5408\u6cd5IP\u6bb5（\u6700\u591a3\u6bb5，\u56e0\u4e3apointNum=3\u65f6\u5904\u7406\u6700\u540e\u4e00\u6bb5）
\n List<String> path = new ArrayList<>();<\/p>\n

\/**
\n * \u4e3b\u65b9\u6cd5：\u5165\u53e3，\u521d\u59cb\u5316\u5e76\u8c03\u7528\u56de\u6eaf\u65b9\u6cd5
\n * @param s \u8f93\u5165\u7684\u6570\u5b57\u5b57\u7b26\u4e32
\n * @return \u6240\u6709\u5408\u6cd5\u7684IP\u5730\u5740\u5217\u8868
\n *\/
\n public List<String> restoreIpAddresses(String s) {
\n \/\/ \u524d\u7f6e\u526a\u679d：IP\u5730\u5740\u603b\u957f\u5ea6\u6700\u5c0f4\u4f4d（0.0.0.0），\u6700\u592712\u4f4d（255.255.255.255），\u4e0d\u7b26\u5408\u76f4\u63a5\u8fd4\u56de\u7a7a
\n if (s.length() < 4 || s.length() > 12) return res;
\n \/\/ \u8c03\u7528\u56de\u6eaf\u65b9\u6cd5，\u521d\u59cb：\u5206\u5272\u8d77\u59cb\u7d22\u5f150，\u5df2\u6dfb\u52a0\u70b9\u6570\u91cf0
\n backtracking(s, 0, 0);
\n return res;
\n }<\/p>\n

\/**
\n * \u56de\u6eaf\u6838\u5fc3\u65b9\u6cd5
\n * @param s \u8f93\u5165\u7684\u6570\u5b57\u5b57\u7b26\u4e32
\n * @param startIndex \u5f53\u524d\u5206\u5272\u7684\u8d77\u59cb\u7d22\u5f15（\u907f\u514d\u91cd\u590d\u5206\u5272）
\n * @param pointNum \u5df2\u6dfb\u52a0\u7684\u70b9\u7684\u6570\u91cf（\u70b9\u6570\u91cf=3\u65f6，\u5206\u62104\u6bb5，\u89e6\u53d1\u7ec8\u6b62）
\n *\/
\n public void backtracking(String s, int startIndex, int pointNum) {
\n \/\/ \u7ec8\u6b62\u6761\u4ef6：\u5df2\u6dfb\u52a03\u4e2a\u70b9，\u8bf4\u660e\u5b57\u7b26\u4e32\u5df2\u88ab\u5206\u6210\u524d3\u6bb5，\u53ea\u9700\u5904\u7406\u6700\u540e\u4e00\u6bb5
\n if(pointNum == 3) {
\n \/\/ \u9a8c\u8bc1\u6700\u540e\u4e00\u6bb5\u662f\u5426\u5408\u6cd5：\u8d77\u59cb\u7d22\u5f15startIndex \u5230 \u5b57\u7b26\u4e32\u672b\u5c3e
\n if(isValid(s, startIndex, s.length() – 1)) {
\n \/\/ \u62fc\u63a5\u5408\u6cd5IP：\u8def\u5f84\u96c6\u76843\u6bb5 + \u6700\u540e\u4e00\u6bb5，\u7528\u70b9\u5206\u9694
\n String ip = path.get(0) + "." + path.get(1) + "." + path.get(2) + "." + s.substring(startIndex, s.length());
\n res.add(ip); \/\/ \u52a0\u5165\u7ed3\u679c\u96c6
\n }
\n return; \/\/ \u7ec8\u6b62\u9012\u5f52，\u8fd4\u56de\u4e0a\u4e00\u5c42
\n }<\/p>\n

\/\/ \u5355\u5c42\u9012\u5f52：\u904d\u5386\u5b57\u7b26\u4e32，\u5c1d\u8bd5\u5206\u52721~3\u4f4d\u7684\u5b50\u4e32（i < startIndex + 3 \u9650\u5236\u6700\u591a3\u4f4d）
\n for(int i = startIndex; i < s.length() && i < startIndex + 3; i++) {
\n \/\/ \u9a8c\u8bc1\u5f53\u524d\u5206\u5272\u7684\u5b50\u4e32[startIndex, i]\u662f\u5426\u4e3a\u6709\u6548IP\u6bb5
\n if(isValid(s, startIndex, i)) {
\n \/\/ \u5408\u6cd5\u5219\u52a0\u5165\u8def\u5f84\u96c6：\u622a\u53d6[startIndex, i]\u7684\u5b50\u4e32
\n path.add(s.substring(startIndex, i + 1));
\n pointNum++; \/\/ \u70b9\u7684\u6570\u91cf+1
\n \/\/ \u9012\u5f52\u5904\u7406\u4e0b\u4e00\u6bb5：\u4e0b\u4e00\u6bb5\u8d77\u59cb\u7d22\u5f15\u4e3ai+1，\u70b9\u6570\u91cf+1
\n backtracking(s, i + 1, pointNum);
\n \/\/ \u56de\u6eaf：\u91cd\u7f6e\u72b6\u6001，\u6062\u590d\u5230\u9012\u5f52\u524d\u7684\u6837\u5b50（\u6838\u5fc3！）
\n pointNum–; \/\/ \u70b9\u7684\u6570\u91cf\u51cf1
\n path.remove(path.size() – 1); \/\/ \u79fb\u9664\u8def\u5f84\u96c6\u6700\u540e\u4e00\u4e2a\u6dfb\u52a0\u7684IP\u6bb5
\n }
\n }
\n }<\/p>\n

\/**
\n * \u6821\u9a8c\u65b9\u6cd5：\u5224\u65ad\u5b57\u7b26\u4e32s\u4e2d[start, end]\u533a\u95f4\u7684\u5b50\u4e32\u662f\u5426\u4e3a\u6709\u6548IP\u6bb5
\n * @param s \u8f93\u5165\u7684\u6570\u5b57\u5b57\u7b26\u4e32
\n * @param start \u5b50\u4e32\u8d77\u59cb\u7d22\u5f15
\n * @param end \u5b50\u4e32\u7ed3\u675f\u7d22\u5f15
\n * @return \u6709\u6548\u8fd4\u56detrue，\u65e0\u6548\u8fd4\u56defalse
\n *\/
\n public boolean isValid(String s, int start, int end) {
\n \/\/ \u8fb9\u754c\u5224\u65ad：\u8d77\u59cb\u7d22\u5f15\u5927\u4e8e\u7ed3\u675f\u7d22\u5f15，\u7a7a\u6bb5，\u76f4\u63a5\u65e0\u6548
\n if(start > end) return false;
\n \/\/ \u957f\u5ea6\u5224\u65ad：IP\u6bb5\u6700\u591a3\u4f4d，\u8d85\u8fc7\u5219\u65e0\u6548（\u5faa\u73af\u5df2\u9650\u5236，\u6b64\u5904\u505a\u53cc\u91cd\u6821\u9a8c）
\n if(end – start >= 3) return false;
\n \/\/ \u524d\u5bfc0\u5224\u65ad：\u4ee50\u5f00\u5934\u4e14\u957f\u5ea6\u5927\u4e8e1，\u65e0\u6548（\u598201\u3001012，\u5355\u72ec0\u5408\u6cd5）
\n if(s.charAt(start) == '0' && start != end) {
\n return false;
\n }
\n \/\/ \u6570\u5b57\u5224\u65ad：\u904d\u5386\u5b50\u4e32，\u786e\u4fdd\u6bcf\u4e00\u4f4d\u90fd\u662f\u6570\u5b57（\u907f\u514d\u975e\u6570\u5b57\u5b57\u7b26，\u9898\u76ee\u867d\u7ed9\u6570\u5b57\u4e32，\u6b64\u5904\u505a\u9632\u5fa1\u6027\u6821\u9a8c）
\n int index = start;
\n while(index <= end) {
\n \/\/ \u975e0-9\u7684\u5b57\u7b26，\u65e0\u6548
\n if(s.charAt(index) > '9' || s.charAt(index) < '0') {
\n return false;
\n }
\n index++;
\n }
\n \/\/ \u6570\u503c\u5224\u65ad：\u622a\u53d6\u5b50\u4e32\u8f6c\u6574\u6570，\u5224\u65ad\u662f\u5426<=255
\n String substr = s.substring(start, end + 1);
\n if(Integer.parseInt(substr) > 255) {
\n return false;
\n }
\n \/\/ \u6240\u6709\u6821\u9a8c\u901a\u8fc7，\u662f\u6709\u6548IP\u6bb5
\n return true;
\n }
\n} <\/p>\n

3 \u5b50\u96c6<\/h2>\n

3.1 \u601d\u8def<\/h3>\n

\u5b50\u96c6\u7684\u672c\u8d28\u662f\u4ece\u6570\u7ec4\u4e2d\u9009\u62e9\u4efb\u610f\u6570\u91cf\u7684\u5143\u7d20（\u5305\u62ec 0 \u4e2a），\u4e0d\u8003\u8651\u987a\u5e8f\u4e14\u4e0d\u91cd\u590d\u9009\u62e9，\u56de\u6eaf\u6cd5\u901a\u8fc7\u63a7\u5236\u8d77\u59cb\u7d22\u5f15\u907f\u514d\u91cd\u590d\u9009\u62e9，\u901a\u8fc7\u8fdb\u5165\u9012\u5f52\u65f6\u7acb\u5373\u6536\u96c6\u7ed3\u679c\u5b9e\u73b0\u300c\u6240\u6709\u8282\u70b9\u90fd\u52a0\u5165\u89e3\u96c6\u300d，\u6574\u4f53\u601d\u8def\u662f\u6784\u5efa\u4e00\u68f5\u5b50\u96c6\u6811，\u904d\u5386\u6811\u7684\u6240\u6709\u8282\u70b9\u5e76\u6536\u96c6\u3002 \u56de\u6eaf\u6cd5\u6838\u5fc3\u8981\u7d20（\u5b50\u96c6\u95ee\u9898\u4e13\u5c5e） 1. \u72b6\u6001\u53d8\u91cf \u4ec5\u9700 **startIndex：\u5f53\u524d\u9009\u62e9\u5143\u7d20\u7684\u8d77\u59cb\u7d22\u5f15，\u7528\u4e8e\u63a7\u5236\u5143\u7d20\u9009\u62e9\u7684\u8303\u56f4 **，\u907f\u514d\u91cd\u590d\u9009\u62e9（\u5982\u9009\u4e86 1 \u4e4b\u540e\u53ea\u80fd\u9009 1 \u540e\u9762\u7684\u5143\u7d20，\u9632\u6b62\u51fa\u73b0 [1,2] \u548c [2,1] \u8fd9\u79cd\u91cd\u590d\u5b50\u96c6）\u3002 2. \u7ed3\u679c\u6536\u96c6\u65f6\u673a（\u6700\u6838\u5fc3\u7684\u533a\u522b） \u8fdb\u5165\u9012\u5f52\u65b9\u6cd5\u540e，\u7acb\u5373\u5c06\u5f53\u524d\u8def\u5f84\u52a0\u5165\u7ed3\u679c\u96c6\u2014\u2014 \u56e0\u4e3a\u5b50\u96c6\u6811\u7684\u6bcf\u4e00\u4e2a\u8282\u70b9（\u5305\u62ec\u7a7a\u8282\u70b9\u3001\u4e2d\u95f4\u8282\u70b9\u3001\u53f6\u5b50\u8282\u70b9）\u90fd\u662f\u4e00\u4e2a\u5408\u6cd5\u5b50\u96c6，\u8fd9\u662f\u5b50\u96c6\u95ee\u9898\u4e0e\u5176\u4ed6\u56de\u6eaf\u95ee\u9898\u7684\u5173\u952e\u5dee\u5f02\u3002 3. \u7ec8\u6b62\u6761\u4ef6（\u53ef\u7701\u7565，\u505a\u9632\u5fa1\u6027\u5224\u65ad） \u5f53startIndex >= nums.length\u65f6，\u8bf4\u660e\u6570\u7ec4\u5df2\u904d\u5386\u5b8c\u6bd5，\u65e0\u5143\u7d20\u53ef\u518d\u9009\u62e9，\u76f4\u63a5\u8fd4\u56de\u5373\u53ef\u3002 4. \u5355\u5c42\u9012\u5f52\u903b\u8f91 \u4ecestartIndex\u5f00\u59cb\u904d\u5386\u6570\u7ec4，\u5c06\u5f53\u524d\u5143\u7d20\u52a0\u5165\u8def\u5f84\u2192\u9012\u5f52\u9009\u62e9\u4e0b\u4e00\u4e2a\u5143\u7d20（\u8d77\u59cb\u7d22\u5f15i+1）\u2192\u9012\u5f52\u7ed3\u675f\u540e\u56de\u6eaf\u91cd\u7f6e\u72b6\u6001（\u79fb\u9664\u8def\u5f84\u6700\u540e\u4e00\u4e2a\u5143\u7d20），\u5c1d\u8bd5\u4e0b\u4e00\u4e2a\u5143\u7d20\u7684\u9009\u62e9\u3002<\/p>\n

\"\"<\/p>\n

3.2 \u5b9e\u73b0\u4ee3\u7801<\/h3>\n

class Solution {
\n \/\/ \u7ed3\u679c\u96c6：\u5b58\u50a8\u6240\u6709\u5408\u6cd5\u7684\u5b50\u96c6，\u6bcf\u4e2a\u5b50\u96c6\u662f\u4e00\u4e2aList<Integer>
\n List<List<Integer>> res = new ArrayList<>();
\n \/\/ \u8def\u5f84\u96c6：\u5b58\u50a8\u56de\u6eaf\u8fc7\u7a0b\u4e2d\u5f53\u524d\u9009\u62e9\u7684\u5143\u7d20\u7ec4\u5408（\u5373\u5f53\u524d\u5b50\u96c6）
\n List<Integer> path = new ArrayList<>();<\/p>\n

\/**
\n * \u4e3b\u65b9\u6cd5：\u5165\u53e3，\u521d\u59cb\u5316\u5e76\u8c03\u7528\u56de\u6eaf\u65b9\u6cd5\u6c42\u89e3\u5b50\u96c6
\n * @param nums \u8f93\u5165\u7684\u65e0\u91cd\u590d\u6574\u6570\u6570\u7ec4
\n * @return \u6570\u7ec4\u7684\u6240\u6709\u5b50\u96c6
\n *\/
\n public List<List<Integer>> subsets(int[] nums) {
\n \/\/ \u8c03\u7528\u56de\u6eaf\u65b9\u6cd5，\u521d\u59cb\u8d77\u59cb\u7d22\u5f15\u4e3a0（\u4ece\u6570\u7ec4\u7b2c\u4e00\u4e2a\u5143\u7d20\u5f00\u59cb\u9009\u62e9）
\n backtracking(nums, 0);
\n return res;
\n }<\/p>\n

\/**
\n * \u56de\u6eaf\u6838\u5fc3\u65b9\u6cd5：\u6784\u5efa\u5b50\u96c6\u6811，\u6536\u96c6\u6240\u6709\u8282\u70b9\u7684\u8def\u5f84（\u5b50\u96c6）
\n * @param nums \u8f93\u5165\u7684\u65e0\u91cd\u590d\u6574\u6570\u6570\u7ec4
\n * @param startIndex \u5f53\u524d\u9009\u62e9\u5143\u7d20\u7684\u8d77\u59cb\u7d22\u5f15（\u63a7\u5236\u9009\u62e9\u8303\u56f4，\u907f\u514d\u91cd\u590d）
\n *\/
\n public void backtracking(int[] nums, int startIndex) {
\n \/\/ \u6838\u5fc3\u6b65\u9aa4：\u8fdb\u5165\u9012\u5f52\u7acb\u5373\u6536\u96c6\u5f53\u524d\u8def\u5f84 \u2192 \u5b50\u96c6\u6811\u7684\u6bcf\u4e2a\u8282\u70b9\u90fd\u662f\u5408\u6cd5\u5b50\u96c6
\n \/\/ \u6ce8\u610f：\u5fc5\u987bnew ArrayList<>(path)，\u5426\u5219\u6240\u6709res\u5143\u7d20\u90fd\u6307\u5411\u540c\u4e00\u4e2apath\u5bf9\u8c61，\u6700\u7ec8\u7ed3\u679c\u4f1a\u88ab\u8986\u76d6
\n res.add(new ArrayList<>(path));<\/p>\n

\/\/ \u7ec8\u6b62\u6761\u4ef6：\u8d77\u59cb\u7d22\u5f15\u8d85\u51fa\u6570\u7ec4\u957f\u5ea6，\u65e0\u5143\u7d20\u53ef\u518d\u9009\u62e9，\u76f4\u63a5\u8fd4\u56de
\n \/\/ \u6ce8：\u6b64\u7ec8\u6b62\u6761\u4ef6\u53ef\u7701\u7565，\u56e0\u4e3afor\u5faa\u73af\u4f1a\u56e0i < nums.length\u81ea\u52a8\u7ec8\u6b62，\u6b64\u5904\u505a\u9632\u5fa1\u6027\u5224\u65ad\u66f4\u5065\u58ee
\n if (startIndex >= nums.length) {
\n return;
\n }<\/p>\n

\/\/ \u5355\u5c42\u9012\u5f52\u903b\u8f91：\u4ecestartIndex\u5f00\u59cb\u904d\u5386，\u9009\u62e9\u5f53\u524d\u5143\u7d20\u5e76\u9012\u5f52
\n for (int i = startIndex; i < nums.length; i++) {
\n path.add(nums[i]); \/\/ \u9009\u62e9\u5f53\u524d\u5143\u7d20nums[i]，\u52a0\u5165\u8def\u5f84\u96c6
\n backtracking(nums, i + 1); \/\/ \u9012\u5f52：\u9009\u62e9\u4e0b\u4e00\u4e2a\u5143\u7d20，\u8d77\u59cb\u7d22\u5f15\u4e3ai+1（\u907f\u514d\u91cd\u590d\u9009\u62e9）
\n path.remove(path.size() – 1); \/\/ \u56de\u6eaf：\u79fb\u9664\u8def\u5f84\u96c6\u6700\u540e\u4e00\u4e2a\u5143\u7d20，\u6062\u590d\u5230\u9012\u5f52\u524d\u7684\u72b6\u6001
\n }
\n }
\n} <\/p>\n

4 \u5b50\u96c6\u2161<\/h2>\n

4.1 \u601d\u8def<\/h3>\n

\u6570\u7ec4\u6392\u5e8f：\u5148\u5bf9nums\u8fdb\u884c\u5347\u5e8f\u6392\u5e8f，\u8ba9\u76f8\u540c\u5143\u7d20\u76f8\u90bb\u2014\u2014 \u8fd9\u662f\u53bb\u91cd\u7684\u524d\u63d0，\u53ea\u6709\u76f8\u540c\u5143\u7d20\u6328\u5728\u4e00\u8d77，\u624d\u80fd\u65b9\u4fbf\u5730\u5224\u65ad\u5e76\u8df3\u8fc7\u91cd\u590d\u5143\u7d20； \u56de\u6eaf\u6784\u5efa\u5b50\u96c6：\u6cbf\u7528\u666e\u901a\u5b50\u96c6\u7684\u56de\u6eaf\u903b\u8f91（\u8fdb\u5165\u9012\u5f52\u7acb\u5373\u6536\u96c6\u7ed3\u679c\u3001\u63a7\u5236startIndex\u907f\u514d\u91cd\u590d\u9009\u62e9）； \u540c\u5c42\u53bb\u91cd：\u5728\u5355\u5c42\u9012\u5f52\u7684\u5faa\u73af\u4e2d，\u5224\u65ad\u5f53\u524d\u5143\u7d20\u662f\u5426\u4e0e\u524d\u4e00\u4e2a\u5143\u7d20\u76f8\u540c，\u4e14\u524d\u4e00\u4e2a\u5143\u7d20\u672a\u88ab\u9009\u62e9（\u540c\u5c42），\u82e5\u662f\u5219\u8df3\u8fc7\u8be5\u5143\u7d20，\u907f\u514d\u540c\u5c42\u9009\u62e9\u91cd\u590d\u5143\u7d20\u5bfc\u81f4\u5b50\u96c6\u91cd\u590d\u3002<\/p>\n

\u72b6\u6001\u53d8\u91cf：\u4ec5\u9700startIndex（\u5f53\u524d\u9009\u62e9\u5143\u7d20\u7684\u8d77\u59cb\u7d22\u5f15，\u63a7\u5236\u9009\u62e9\u8303\u56f4，\u907f\u514d\u8de8\u5c42\u91cd\u590d\u9009\u62e9）； \u7ed3\u679c\u6536\u96c6\u65f6\u673a：\u8fdb\u5165\u9012\u5f52\u7acb\u5373\u6536\u96c6\u5f53\u524d\u8def\u5f84（\u5b50\u96c6\u6811\u7684\u6bcf\u4e2a\u8282\u70b9\u90fd\u662f\u5408\u6cd5\u5b50\u96c6，\u4e0e\u666e\u901a\u5b50\u96c6\u4e00\u81f4）； \u7ec8\u6b62\u6761\u4ef6：startIndex >= nums.length，\u65e0\u5143\u7d20\u53ef\u9009\u62e9\u65f6\u76f4\u63a5\u8fd4\u56de（\u9632\u5fa1\u6027\u5224\u65ad，\u53ef\u7701\u7565）； \u5355\u5c42\u9012\u5f52\u903b\u8f91：\u4ecestartIndex\u904d\u5386\u6570\u7ec4\u2192\u8df3\u8fc7\u540c\u5c42\u91cd\u590d\u5143\u7d20\u2192\u9009\u62e9\u5f53\u524d\u5143\u7d20\u2192\u9012\u5f52\u2192\u56de\u6eaf\u91cd\u7f6e\u72b6\u6001； \u53bb\u91cd\u5173\u952e：if (i > startIndex && nums[i] == nums[i-1]) continue;\u2014\u2014 \u8fd9\u884c\u4ee3\u7801\u662f\u672c\u9898\u7684\u7075\u9b42，\u4e13\u95e8\u62e6\u622a\u540c\u5c42\u91cd\u590d\u5143\u7d20\u3002<\/p>\n

4.2 \u5b9e\u73b0\u4ee3\u7801<\/h3>\n

class Solution {
\n \/\/ \u7ed3\u679c\u96c6：\u5b58\u50a8\u6240\u6709\u4e0d\u91cd\u590d\u7684\u5b50\u96c6，\u6bcf\u4e2a\u5b50\u96c6\u662f\u4e00\u4e2aList<Integer>
\n List<List<Integer>> res = new ArrayList<>();
\n \/\/ \u8def\u5f84\u96c6：\u5b58\u50a8\u56de\u6eaf\u8fc7\u7a0b\u4e2d\u5f53\u524d\u9009\u62e9\u7684\u5143\u7d20\u7ec4\u5408（\u5f53\u524d\u5b50\u96c6）
\n List<Integer> path = new ArrayList<>();<\/p>\n

\/**
\n * \u4e3b\u65b9\u6cd5：\u5165\u53e3，\u6392\u5e8f\u6570\u7ec4+\u8c03\u7528\u56de\u6eaf\u65b9\u6cd5\u6c42\u89e3\u4e0d\u91cd\u590d\u5b50\u96c6
\n * @param nums \u8f93\u5165\u7684\u53ef\u80fd\u5305\u542b\u91cd\u590d\u5143\u7d20\u7684\u6574\u6570\u6570\u7ec4
\n * @return \u6570\u7ec4\u7684\u6240\u6709\u4e0d\u91cd\u590d\u5b50\u96c6
\n *\/
\n public List<List<Integer>> subsetsWithDup(int[] nums) {
\n \/\/ \u6838\u5fc3\u6b65\u9aa41：\u6570\u7ec4\u6392\u5e8f，\u8ba9\u76f8\u540c\u5143\u7d20\u76f8\u90bb \u2192 \u4e3a\u540e\u7eed\u540c\u5c42\u53bb\u91cd\u505a\u51c6\u5907（\u53bb\u91cd\u7684\u524d\u63d0）
\n Arrays.sort(nums);
\n \/\/ \u8c03\u7528\u56de\u6eaf\u65b9\u6cd5，\u521d\u59cb\u8d77\u59cb\u7d22\u5f15\u4e3a0（\u4ece\u6570\u7ec4\u7b2c\u4e00\u4e2a\u5143\u7d20\u5f00\u59cb\u9009\u62e9）
\n backtracking(nums, 0);
\n return res;
\n }<\/p>\n

\/**
\n * \u56de\u6eaf\u6838\u5fc3\u65b9\u6cd5：\u6784\u5efa\u5b50\u96c6\u6811，\u6536\u96c6\u6240\u6709\u8282\u70b9\u7684\u8def\u5f84，\u540c\u65f6\u8df3\u8fc7\u540c\u5c42\u91cd\u590d\u5143\u7d20\u53bb\u91cd
\n * @param nums \u6392\u5e8f\u540e\u7684\u6574\u6570\u6570\u7ec4（\u76f8\u540c\u5143\u7d20\u76f8\u90bb）
\n * @param startIndex \u5f53\u524d\u9009\u62e9\u5143\u7d20\u7684\u8d77\u59cb\u7d22\u5f15（\u63a7\u5236\u9009\u62e9\u8303\u56f4，\u907f\u514d\u8de8\u5c42\u91cd\u590d）
\n *\/
\n public void backtracking(int[] nums, int startIndex) {
\n \/\/ \u6838\u5fc3\u6b65\u9aa4：\u8fdb\u5165\u9012\u5f52\u7acb\u5373\u6536\u96c6\u5f53\u524d\u8def\u5f84 \u2192 \u5b50\u96c6\u6811\u7684\u6bcf\u4e2a\u8282\u70b9\u90fd\u662f\u5408\u6cd5\u5b50\u96c6
\n \/\/ \u5fc5\u987bnew ArrayList<>(path)：\u4fdd\u5b58\u5f53\u524d\u8def\u5f84\u5feb\u7167，\u907f\u514d\u5f15\u7528\u8986\u76d6（\u666e\u901a\u5b50\u96c6\u7684\u6838\u5fc3\u5751）
\n res.add(new ArrayList<>(path));<\/p>\n

\/\/ \u7ec8\u6b62\u6761\u4ef6：\u8d77\u59cb\u7d22\u5f15\u8d85\u51fa\u6570\u7ec4\u957f\u5ea6，\u65e0\u5143\u7d20\u53ef\u518d\u9009\u62e9，\u76f4\u63a5\u8fd4\u56de
\n \/\/ \u6ce8：\u53ef\u7701\u7565，for\u5faa\u73af\u4f1a\u56e0i < nums.length\u81ea\u52a8\u7ec8\u6b62，\u6b64\u5904\u505a\u9632\u5fa1\u6027\u5224\u65ad\u66f4\u5065\u58ee
\n if (startIndex >= nums.length) {
\n return;
\n }<\/p>\n

\/\/ \u5355\u5c42\u9012\u5f52\u903b\u8f91：\u4ecestartIndex\u5f00\u59cb\u904d\u5386，\u9009\u62e9\u5143\u7d20\u5e76\u9012\u5f52，\u540c\u65f6\u8df3\u8fc7\u540c\u5c42\u91cd\u590d\u5143\u7d20
\n for (int i = startIndex; i < nums.length; i++) {
\n \/\/ \u6838\u5fc3\u6b65\u9aa42：\u540c\u5c42\u53bb\u91cd \u2192 \u8df3\u8fc7\u5f53\u524d\u5c42\u7684\u91cd\u590d\u5143\u7d20，\u907f\u514d\u751f\u6210\u91cd\u590d\u5b50\u96c6
\n \/\/ \u6761\u4ef6\u89e3\u8bfb：
\n \/\/ 1. i > startIndex：\u8868\u793a\u5f53\u524d\u5143\u7d20\u4e0d\u662f\u5f53\u524d\u5c42\u7684\u7b2c\u4e00\u4e2a\u5143\u7d20（\u540c\u5c42\u540e\u7eed\u5143\u7d20）
\n \/\/ 2. nums[i] == nums[i-1]：\u8868\u793a\u5f53\u524d\u5143\u7d20\u4e0e\u524d\u4e00\u4e2a\u5143\u7d20\u76f8\u540c
\n \/\/ \u6ee1\u8db3\u5219\u8df3\u8fc7，\u4e0d\u9009\u62e9\u5f53\u524d\u5143\u7d20
\n if (i > startIndex && nums[i] == nums[i – 1]) {
\n continue;
\n }
\n path.add(nums[i]); \/\/ \u9009\u62e9\u5f53\u524d\u5143\u7d20nums[i]，\u52a0\u5165\u8def\u5f84\u96c6
\n backtracking(nums, i + 1); \/\/ \u9012\u5f52：\u9009\u62e9\u4e0b\u4e00\u4e2a\u5143\u7d20，\u8d77\u59cb\u7d22\u5f15\u4e3ai+1（\u907f\u514d\u8de8\u5c42\u91cd\u590d）
\n path.remove(path.size() – 1); \/\/ \u56de\u6eaf：\u79fb\u9664\u8def\u5f84\u96c6\u6700\u540e\u4e00\u4e2a\u5143\u7d20，\u6062\u590d\u9012\u5f52\u524d\u7684\u72b6\u6001
\n }
\n }
\n} <\/p>\n","protected":false},"excerpt":{"rendered":"

1 \u4eca\u65e5\u6253\u5361
\n\u590d\u539fIP\u5730\u5740\u00a093. \u590d\u539f IP \u5730\u5740 – \u529b\u6263（LeetCode）
\n\u5b50\u96c6\u00a078. \u5b50\u96c6 – \u529b\u6263（LeetCode）
\n\u5b50\u96c6\u2161\u00a090. \u5b50\u96c6 II – \u529b\u6263（LeetCode） 2 \u590d\u539fIP\u5730\u5740
\n2.1 \u601d\u8def
\nstartIndex：\u5b57\u7b26\u4e32\u5f53\u524d\u5206\u5272\u7684\u8d77\u59cb\u7d22\u5f15（\u907f\u514d\u91cd\u590d\u5206\u5272\u5b57\u7b26） pointNum：\u5df2\u6dfb\u52a0\u7684\u70b9\u7684\u6570\u91cf&#<\/p>\n","protected":false},"author":2,"featured_media":72660,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[7058,7644,7645,427],"topic":[],"class_list":["post-72662","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-server","tag-hot100","tag-7644","tag-7645","tag-427"],"yoast_head":"\nday24 \u4ee3\u7801\u968f\u60f3\u5f55\u7b97\u6cd5\u8bad\u7ec3\u8425 \u56de\u6eaf\u4e13\u98983 - \u7f51\u7855\u4e92\u8054\u5e2e\u52a9\u4e2d\u5fc3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wsisp.com\/helps\/72662.html\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"day24 \u4ee3\u7801\u968f\u60f3\u5f55\u7b97\u6cd5\u8bad\u7ec3\u8425 \u56de\u6eaf\u4e13\u98983 - 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