820. Short Encoding of Words

Trie + DFS

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class Solution {
private static class Trie {
private static class TrieNode {
private final TrieNode[] children;
private boolean end;

public TrieNode() {
this.children = new TrieNode[26];
}
}

private final TrieNode root;

public Trie() {
this.root = new TrieNode();
}

public void reverseInsert(String word) {
TrieNode node = root;
boolean longest = false;
for (int i = word.length() - 1; i >= 0; i--) {
int offset = word.charAt(i) - 'a';
node.end = false;
if (node.children[offset] == null) {
node.children[offset] = new TrieNode();
longest = true;
}
node = node.children[offset];
}

if (longest) {
node.end = true;
}
}

public int getMinimumLengthEncoding() {
return dfs(root, 0);
}

private int dfs(TrieNode node, int depth) {
if (node.end) {
return depth + 1;
}

int length = 0;
for (TrieNode child : node.children) {
if (child != null) {
length += dfs(child, depth + 1);
}
}
return length;
}
}

public int minimumLengthEncoding(String[] words) {
Trie trie = new Trie();
for (String word : words) {
trie.reverseInsert(word);
}

return trie.getMinimumLengthEncoding();
}
}

Trie

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class Solution {
private static class Trie {
private static class TrieNode {
private final TrieNode[] children;

public TrieNode() {
this.children = new TrieNode[26];
}
}

private final TrieNode root;

public Trie() {
this.root = new TrieNode();
}

public int reverseInsert(String word) {
TrieNode node = root;
boolean longest = false;
for (int i = word.length() - 1; i >= 0; i--) {
int offset = word.charAt(i) - 'a';

if (node.children[offset] == null) {
node.children[offset] = new TrieNode();
longest = true;
}
node = node.children[offset];
}

return longest ? word.length() + 1 : 0;
}

}

public int minimumLengthEncoding(String[] words) {
int minLength = 0;

Arrays.sort(words, (o1, o2) -> o2.length() - o1.length()); // 先插入长的单词,防止相同后缀的单词长度被统计多次

Trie trie = new Trie();
for (String word : words) {
minLength += trie.reverseInsert(word);
}

return minLength;
}
}

References

820. Short Encoding of Words
剑指 Offer II 065. 最短的单词编码