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6 | 6 | import java.util.List;
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7 | 7 | import java.util.Set;
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8 | 8 |
|
9 |
| -/** |
10 |
| - * 472. Concatenated Words |
11 |
| - * |
12 |
| - * Given a list of words, please write a program that returns all concatenated words in the given list of words. |
13 |
| -
|
14 |
| - A concatenated word is defined as a string that is comprised entirely of at least two shorter words in the given array. |
15 |
| -
|
16 |
| - Example: |
17 |
| - Input: ["cat","cats","catsdogcats","dog","dogcatsdog","hippopotamuses","rat","ratcatdogcat"] |
18 |
| -
|
19 |
| - Output: ["catsdogcats","dogcatsdog","ratcatdogcat"] |
20 |
| -
|
21 |
| - Explanation: "catsdogcats" can be concatenated by "cats", "dog" and "cats"; |
22 |
| - "dogcatsdog" can be concatenated by "dog", "cats" and "dog"; |
23 |
| - "ratcatdogcat" can be concatenated by "rat", "cat", "dog" and "cat". |
24 |
| - Note: |
25 |
| - The number of elements of the given array will not exceed 10,000 |
26 |
| - The length sum of elements in the given array will not exceed 600,000. |
27 |
| - All the input string will only include lower case letters. |
28 |
| - The returned elements order does not matter. |
29 |
| -
|
30 |
| - */ |
31 |
| - |
32 | 9 | public class _472 {
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33 | 10 |
|
34 |
| - public static class Solution1 { |
35 |
| - private TrieNode root; |
36 |
| - private int maxWordLen; |
37 |
| - |
38 |
| - public List<String> findAllConcatenatedWordsInADict(String[] words) { |
39 |
| - ResultType result = buildTrie(words); |
40 |
| - root = result.root; |
41 |
| - maxWordLen = result.maxWordLen; |
42 |
| - |
43 |
| - List<String> validConcatenatedWords = new ArrayList(); |
44 |
| - for (String word : words) { |
45 |
| - if (word == null || word.length() == 0) { |
46 |
| - continue; |
47 |
| - } |
48 |
| - remove(word, root);/** every word is comprised of every word itself, thus this word itself needs to be removed first for checking it*/ |
49 |
| - int n = word.length(); |
50 |
| - boolean[] dp = new boolean[n + 1]; |
51 |
| - dp[0] = true; |
52 |
| - |
53 |
| - for (int i = 1; i <= n; i++) { |
54 |
| - for (int j = 1; j <= i && j <= maxWordLen; j++) { |
55 |
| - if (!dp[i - j]) { |
56 |
| - continue; |
57 |
| - } |
58 |
| - |
59 |
| - String subWord = word.substring(i - j, i); |
60 |
| - if (contains(subWord, root)) { |
61 |
| - dp[i] = true; |
62 |
| - break; |
63 |
| - } |
64 |
| - } |
65 |
| - } |
66 |
| - |
67 |
| - if (dp[n]) { |
68 |
| - validConcatenatedWords.add(word); |
69 |
| - } |
70 |
| - undoRemove(word, root); |
71 |
| - } |
72 |
| - return validConcatenatedWords; |
73 |
| - } |
74 |
| - |
75 |
| - public ResultType buildTrie(String[] words) { |
76 |
| - ResultType result = new ResultType(); |
77 |
| - |
78 |
| - TrieNode root = new TrieNode(); |
79 |
| - int maxWordLen = 0; |
80 |
| - |
81 |
| - for (String word : words) { |
82 |
| - maxWordLen = Math.max(maxWordLen, word.length()); |
83 |
| - char[] chars = word.toCharArray(); |
84 |
| - TrieNode node = root; |
85 |
| - for (int i = 0; i < chars.length; i++) { |
86 |
| - char c = chars[i]; |
87 |
| - if (node.children[c - 'a'] == null) { |
88 |
| - node.children[c - 'a'] = new TrieNode(); |
89 |
| - } |
90 |
| - node = node.children[c - 'a']; |
91 |
| - } |
92 |
| - node.isWord = true; |
93 |
| - } |
94 |
| - |
95 |
| - result.root = root; |
96 |
| - result.maxWordLen = maxWordLen; |
97 |
| - return result; |
98 |
| - } |
99 |
| - |
100 |
| - public class ResultType { |
101 |
| - int maxWordLen; |
102 |
| - TrieNode root; |
103 |
| - } |
104 |
| - |
105 |
| - // Returns true if the word is in the trie. |
106 |
| - public boolean contains(String word, TrieNode root) { |
107 |
| - TrieNode node = root; |
108 |
| - for (int i = 0; i < word.length(); i++) { |
109 |
| - if (node.children[word.charAt(i) - 'a'] == null) { |
110 |
| - return false; |
111 |
| - } |
112 |
| - node = node.children[word.charAt(i) - 'a']; |
113 |
| - } |
114 |
| - return node.isWord; |
115 |
| - } |
116 |
| - |
117 |
| - // mark that word on |
118 |
| - public void undoRemove(String word, TrieNode root) { |
119 |
| - TrieNode node = root; |
120 |
| - for (int i = 0; i < word.length(); i++) { |
121 |
| - node = node.children[word.charAt(i) - 'a']; |
122 |
| - } |
123 |
| - node.isWord = true; |
124 |
| - } |
125 |
| - |
126 |
| - // mark that word off, we are not really deleting that word |
127 |
| - public void remove(String word, TrieNode root) { |
128 |
| - TrieNode node = root; |
129 |
| - for (int i = 0; i < word.length(); i++) { |
130 |
| - node = node.children[word.charAt(i) - 'a']; |
131 |
| - } |
132 |
| - node.isWord = false; |
133 |
| - } |
134 |
| - |
135 |
| - class TrieNode { |
136 |
| - boolean isWord; |
137 |
| - TrieNode[] children = new TrieNode[26]; |
138 |
| - |
139 |
| - public TrieNode() { |
140 |
| - } |
141 |
| - } |
142 |
| - } |
143 |
| - |
144 |
| - public static class Solution2 { |
145 |
| - public List<String> findAllConcatenatedWordsInADict(String[] words) { |
146 |
| - List<String> result = new ArrayList<>(); |
147 |
| - Set<String> preWords = new HashSet<>(); |
148 |
| - /**Words could only be formed by other words that are shorter than itself, so we sort them based on their lengths first.*/ |
149 |
| - Arrays.sort(words, (s1, s2) -> s1.length() - s2.length()); |
150 |
| - |
151 |
| - for (int i = 0; i < words.length; i++) { |
152 |
| - if (canForm(words[i], preWords)) { |
153 |
| - result.add(words[i]); |
154 |
| - } |
155 |
| - preWords.add(words[i]); |
156 |
| - } |
157 |
| - |
158 |
| - return result; |
159 |
| - } |
160 |
| - |
161 |
| - boolean canForm(String word, Set<String> dict) { |
162 |
| - if (dict.isEmpty()) { |
163 |
| - return false; |
164 |
| - } |
165 |
| - boolean[] dp = new boolean[word.length() + 1]; |
166 |
| - dp[0] = true; |
167 |
| - for (int i = 1; i <= word.length(); i++) { |
168 |
| - for (int j = 0; j < i; j++) { |
169 |
| - if (dp[j] && dict.contains(word.substring(j, i))) { |
170 |
| - dp[i] = true; |
171 |
| - break; |
172 |
| - } |
173 |
| - } |
174 |
| - } |
175 |
| - return dp[word.length()]; |
176 |
| - } |
177 |
| - } |
| 11 | + public static class Solution1 { |
| 12 | + private TrieNode root; |
| 13 | + private int maxWordLen; |
| 14 | + |
| 15 | + public List<String> findAllConcatenatedWordsInADict(String[] words) { |
| 16 | + ResultType result = buildTrie(words); |
| 17 | + root = result.root; |
| 18 | + maxWordLen = result.maxWordLen; |
| 19 | + |
| 20 | + List<String> validConcatenatedWords = new ArrayList(); |
| 21 | + for (String word : words) { |
| 22 | + if (word == null || word.length() == 0) { |
| 23 | + continue; |
| 24 | + } |
| 25 | + remove(word, root);/** every word is comprised of every word itself, thus this word itself needs to be removed first for checking it*/ |
| 26 | + int n = word.length(); |
| 27 | + boolean[] dp = new boolean[n + 1]; |
| 28 | + dp[0] = true; |
| 29 | + |
| 30 | + for (int i = 1; i <= n; i++) { |
| 31 | + for (int j = 1; j <= i && j <= maxWordLen; j++) { |
| 32 | + if (!dp[i - j]) { |
| 33 | + continue; |
| 34 | + } |
| 35 | + |
| 36 | + String subWord = word.substring(i - j, i); |
| 37 | + if (contains(subWord, root)) { |
| 38 | + dp[i] = true; |
| 39 | + break; |
| 40 | + } |
| 41 | + } |
| 42 | + } |
| 43 | + |
| 44 | + if (dp[n]) { |
| 45 | + validConcatenatedWords.add(word); |
| 46 | + } |
| 47 | + undoRemove(word, root); |
| 48 | + } |
| 49 | + return validConcatenatedWords; |
| 50 | + } |
| 51 | + |
| 52 | + public ResultType buildTrie(String[] words) { |
| 53 | + ResultType result = new ResultType(); |
| 54 | + |
| 55 | + TrieNode root = new TrieNode(); |
| 56 | + int maxWordLen = 0; |
| 57 | + |
| 58 | + for (String word : words) { |
| 59 | + maxWordLen = Math.max(maxWordLen, word.length()); |
| 60 | + char[] chars = word.toCharArray(); |
| 61 | + TrieNode node = root; |
| 62 | + for (int i = 0; i < chars.length; i++) { |
| 63 | + char c = chars[i]; |
| 64 | + if (node.children[c - 'a'] == null) { |
| 65 | + node.children[c - 'a'] = new TrieNode(); |
| 66 | + } |
| 67 | + node = node.children[c - 'a']; |
| 68 | + } |
| 69 | + node.isWord = true; |
| 70 | + } |
| 71 | + |
| 72 | + result.root = root; |
| 73 | + result.maxWordLen = maxWordLen; |
| 74 | + return result; |
| 75 | + } |
| 76 | + |
| 77 | + public class ResultType { |
| 78 | + int maxWordLen; |
| 79 | + TrieNode root; |
| 80 | + } |
| 81 | + |
| 82 | + // Returns true if the word is in the trie. |
| 83 | + public boolean contains(String word, TrieNode root) { |
| 84 | + TrieNode node = root; |
| 85 | + for (int i = 0; i < word.length(); i++) { |
| 86 | + if (node.children[word.charAt(i) - 'a'] == null) { |
| 87 | + return false; |
| 88 | + } |
| 89 | + node = node.children[word.charAt(i) - 'a']; |
| 90 | + } |
| 91 | + return node.isWord; |
| 92 | + } |
| 93 | + |
| 94 | + // mark that word on |
| 95 | + public void undoRemove(String word, TrieNode root) { |
| 96 | + TrieNode node = root; |
| 97 | + for (int i = 0; i < word.length(); i++) { |
| 98 | + node = node.children[word.charAt(i) - 'a']; |
| 99 | + } |
| 100 | + node.isWord = true; |
| 101 | + } |
| 102 | + |
| 103 | + // mark that word off, we are not really deleting that word |
| 104 | + public void remove(String word, TrieNode root) { |
| 105 | + TrieNode node = root; |
| 106 | + for (int i = 0; i < word.length(); i++) { |
| 107 | + node = node.children[word.charAt(i) - 'a']; |
| 108 | + } |
| 109 | + node.isWord = false; |
| 110 | + } |
| 111 | + |
| 112 | + class TrieNode { |
| 113 | + boolean isWord; |
| 114 | + TrieNode[] children = new TrieNode[26]; |
| 115 | + |
| 116 | + public TrieNode() { |
| 117 | + } |
| 118 | + } |
| 119 | + } |
| 120 | + |
| 121 | + public static class Solution2 { |
| 122 | + public List<String> findAllConcatenatedWordsInADict(String[] words) { |
| 123 | + List<String> result = new ArrayList<>(); |
| 124 | + Set<String> preWords = new HashSet<>(); |
| 125 | + /**Words could only be formed by other words that are shorter than itself, so we sort them based on their lengths first.*/ |
| 126 | + Arrays.sort(words, (s1, s2) -> s1.length() - s2.length()); |
| 127 | + |
| 128 | + for (int i = 0; i < words.length; i++) { |
| 129 | + if (canForm(words[i], preWords)) { |
| 130 | + result.add(words[i]); |
| 131 | + } |
| 132 | + preWords.add(words[i]); |
| 133 | + } |
| 134 | + |
| 135 | + return result; |
| 136 | + } |
| 137 | + |
| 138 | + boolean canForm(String word, Set<String> dict) { |
| 139 | + if (dict.isEmpty()) { |
| 140 | + return false; |
| 141 | + } |
| 142 | + boolean[] dp = new boolean[word.length() + 1]; |
| 143 | + dp[0] = true; |
| 144 | + for (int i = 1; i <= word.length(); i++) { |
| 145 | + for (int j = 0; j < i; j++) { |
| 146 | + if (dp[j] && dict.contains(word.substring(j, i))) { |
| 147 | + dp[i] = true; |
| 148 | + break; |
| 149 | + } |
| 150 | + } |
| 151 | + } |
| 152 | + return dp[word.length()]; |
| 153 | + } |
| 154 | + } |
178 | 155 | }
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