剑指 Offer II Trie前缀树
初始化
数组初始化在class外的话 要memset 在主函数里面memset
在class内不用
062. 实现前缀树
class Trie {
public:
/** Initialize your data structure here. */
int son[100010][26],cnt[100010],idx=0;
Trie() {
memset(son,0,sizeof son);
}
/** Inserts a word into the trie. */
void insert(string word) {
int p=0;
for( char c: word)
{
int u=c-'a';
if(!son[p][u])son[p][u]=++idx;
p=son[p][u];
}
cnt[p]++;
}
/** Returns if the word is in the trie. */
bool search(string word) {
int p=0;
for(char c:word){
int u=c-'a';
if(!son[p][u])return false;
p=son[p][u];
}
return cnt[p]>0;
}
/** Returns if there is any word in the trie that starts with the given prefix. */
bool startsWith(string prefix) {
int p=0;
for(char c:prefix){
int u=c-'a';
if(!son[p][u])return false;
p=son[p][u];
}
return true;
}
};
063. 替换单词
class Solution {
public:
int son[100010][26],cnt[100010],idx=0;
void insert(string s)
{
int p=0;
for(char c:s)
{
int u=c-'a';
if(!son[p][u])son[p][u]=++idx;
p=son[p][u];
}
cnt[p]++;
}
string check(string s)
{
string res;
int p=0;
for(char c:s)
{
int u=c-'a';
if(!son[p][u])break;
res+=c;
p=son[p][u];
if(cnt[p])return res;
}
if(cnt[p])return res;
return "";
}
string replaceWords(vector<string>& dictionary, string sentence) {
for(auto s:dictionary)insert(s);
stringstream ssin(sentence);
string ans,word;
while(ssin >>word)
{
//cout<<word<<"..."<<endl;
string x=check(word);
// cout<<x<<endl;
if(x!="")
{
ans+=x;
}
else ans+=word;
ans+=" ";
}
return ans.substr(0,ans.size()-1);
}
};
064. 神奇的字典
const int N=10001;
int son[N][26],cnt[N],idx=0;
class MagicDictionary {
public:
/** Initialize your data structure here. */
MagicDictionary() {
memset(son,0,sizeof son);
memset(cnt,0,sizeof cnt);
idx=0;
}
void insert(string s)
{
int p=0;
for(char c:s)
{
int u=c-'a';
if(!son[p][u])son[p][u]=++idx;
p=son[p][u];
}
cnt[p]++;
}
void buildDict(vector<string> dictionary) {
for(auto s:dictionary)insert(s);
}
bool dfs(string s,int p,int u,int op)
{
if(cnt[p]&&u==s.size()&&op==1)return true;//必须替换一个
if(op>1||s.size()==u)return false;
//枚举改的字母
for(int i=0;i<26;i++)
{
if(!son[p][i])continue;
if(dfs(s,son[p][i],u+1,op+(s[u]-'a'!=i)))return true;
}
return false;
}
bool search(string searchWord) {
return dfs(searchWord,0,0,0);
}
};
065. 最短的单词编码
const int N=2000*7+10;
int son[N][26],cnt[N],len[N],idx=0;
class Solution {
public:
/*
这题是求叶节点长度
*/
void insert(string s)
{
reverse(s.begin(),s.end());
int p=0;
for(char c:s)
{
int u=c-'a';
if(!son[p][u])son[p][u]=++idx;
cnt[p]++;
p=son[p][u];
}
len[p]=s.size();
}
int minimumLengthEncoding(vector<string>& words) {
memset(son,0,sizeof son);
//cnt 我有多少个叶节点 0的话我就是
memset(cnt,0,sizeof cnt);//因为len依赖cnt 所以不用初始化
idx=0;
for(auto x:words)insert(x);
int res=0;
for(int i=1;i<=idx;i++)
if(!cnt[i])res+=len[i]+1;
return res;
}
};
066. 单词之和
找到p再深搜
const int N=2501;
int son[N][26],cnt[N],idx=0;
class MapSum {
public:
/** Initialize your data structure here. */
MapSum() {
memset(son,0,sizeof son);
memset(cnt,0,sizeof cnt);
idx=0;
}
void insert(string key, int val) {
int p=0;
for(char c:key)
{
int u=c-'a';
if(!son[p][u])son[p][u]=++idx;
p=son[p][u];
}
cnt[p]=val;
}
int getp(string s)
{
int p=0;
for(char c:s)
{
int u=c-'a';
if(!son[p][u])return 0;
p=son[p][u];
}
return p;
}
int dfs(int p)
{
int sum=0;
if(cnt[p])sum+=cnt[p];
for(int i=0;i<26;i++)
{
if(son[p][i])sum+=dfs(son[p][i]);
}
return sum;
}
int sum(string prefix) {
int p=getp(prefix);
if(p==0)return 0;
return dfs(p);
}
};
067. 最大的异或
class Solution {
public:
int son[800001][2],idx=0;
void insert(int x)
{
int p=0;
for(int i=30;i>=0;i--)
{
int u=x>>i&1;
if(!son[p][u])son[p][u]=++idx;
p=son[p][u];
}
}
int query(int x)
{
int p=0,res=0;
for(int i=30;i>=0;i--)
{
int u=x>>i&1;
if(son[p][!u])
{
res=res*2+1;
p=son[p][!u];
}
else
{
res=res*2+0;
p=son[p][u];
}
}
return res;
}
int findMaximumXOR(vector<int>& nums) {
for(int x:nums)insert(x);
int res=0;
for(int x:nums)res=max(res,query(x));
return res;
}
};

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