题目描述

Bessie the cow has a new cell phone and enjoys sending text messages, although she keeps making spelling errors since she has trouble typing on such a small screen with her large hooves. Farmer John has agreed to help her by writing an auto-completion app that takes a partial word and suggests how to complete it.

The auto-completion app has access to a dictionary of W words, each consisting of lowercase letters in the range a..z, where the total number of letters among all words is at most 1,000,000. The app is given as input a list of N partial words (1 <= N <= 1000), each containing at most 1000 lowercase letters. Along with each partial word i, an integer K_i is also provided, such that the app must find the (K_i)th word in alphabetical order that has partial word i as a prefix. That is, if one ordered all of the valid completions of the ith partial word, the app should output the completion that is (K_i)th in this sequence.

贝西新买了手机,打字不方便,请设计一款应用,帮助她快速发消息。

字典里有W(W<=30000)个小写字母构成的单词,所有单词的字符总数量不超过1,000,000,这些单词是无序的。现在给出N(1 <= N <= 1000)个询问,每个询问i包含一个的字符串s_i(每个字符串最多包含1000个字符)和一个整数K_i,对于所有以s_i为前缀的单词,其中按字典序排序后的第K_i个单词,求该单词在原字典里的序号。

输入输出格式

输入格式:

* Line 1: Two integers: W and N.

* Lines 2..W+1: Line i+1: The ith word in the dictionary.

* Lines W+2..W+N+1: Line W+i+1: A single integer K_i followed by a partial word.

输出格式:

* Lines 1..N: Line i should contain the index within the dictionary

(an integer in the range 1..W) of the (K_i)th completion (in

alphabetical order) of the ith partial word, or -1 if there

are less than K_i completions.

输入输出样例

输入样例#1: 复制

10 3
dab
ba
ab
daa
aa
aaa
aab
abc
ac
dadba
4 a
2 da
4 da
输出样例#1: 复制

3
1
-1

说明

OUTPUT DETAILS:

The completions of a are {aa,aaa,aab,ab,abc,ac}. The 4th is ab, which

is listed on line 3 of the dictionary. The completions of da are

{daa,dab,dadba}. The 2nd is dab, listed on line 1 of the dictionary.

There is no 4th completion of da.

Source: USACO 2014 Feburary Contest, Silver

#include<map>
#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;
map<string,int>ma;
int n,m;
string s[];
bool judge(string ss,string p){
int lenp=p.length();
for(int i=;i<lenp;i++)
if(ss[i]!=p[i]) return false;
return true;
}
int main(){
scanf("%d%d",&n,&m);
for(int i=;i<=n;i++){
cin>>s[i];
ma[s[i]]=i;
}
sort(s+,s++n);
for(int i=;i<=m;i++){
int k;string p;
scanf("%d",&k);cin>>p;
int now=lower_bound(s+,s++n,p)-s;
if(judge(s[now+k-],p)) printf("%d\n",ma[s[now+k-]]);
else printf("-1\n");
}
}

二分+排序

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;
int n,m,k,tot,f;
string s,p;
int sum[],id[];
int trie[][];
void insert(int now){
int len=s.length();
int root=;
for(int i=;i<len;i++){
int x=s[i]-'a';
if(!trie[root][x]) trie[root][x]=++tot;
sum[trie[root][x]]++;
root=trie[root][x];
}
id[root]=now;
}
void dfs(int now){
if(k==&&id[now]!=){
cout<<id[now]<<endl;f=;
return ;
}
for(int i=;i<;i++){
if(f==) continue;
if(sum[trie[now][i]]>=k){
if(id[trie[now][i]]!=&&k!=) k--;
dfs(trie[now][i]);
}
else k-=sum[trie[now][i]];
}
}
void find(){
int len=p.length();
int root=;f=;
for(int i=;i<len;i++){
int x=p[i]-'a';
if(!trie[root][x]){
cout<<"-1"<<endl;
return ;
}
root=trie[root][x];
}
if(sum[root]<k){
cout<<"-1"<<endl;
return ;
}
if(id[root]) k--;
dfs(root);
}
int main(){
//freopen("lpp1.in","r",stdin);
scanf("%d%d",&n,&m);
for(int i=;i<=n;i++){
cin>>s;
insert(i);
}
for(int i=;i<=m;i++){
cin>>k;cin>>p;
find();
}
}

trie树

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