Codeforces Round #434 (Div. 2): D. Polycarp's phone book（字典树）

D. Polycarp's phone book

time limit per test
4 seconds

memory limit per test
256 megabytes

input
standard input

output
standard output

There are n phone numbers in Polycarp's contacts on his phone. Each number is a 9-digit integer, starting with a digit different from 0.
All the numbers are distinct.

There is the latest version of Berdroid OS installed on Polycarp's phone. If some number is entered, is shows up all the numbers in the contacts for which there is a substring equal to the entered sequence of digits. For example, is there are three phone numbers
in Polycarp's contacts:123456789, 100000000 and 100123456,
then:

if he enters 00 two numbers will show up: 100000000 and 100123456,

if he enters 123 two numbers will show up 123456789 and 100123456,

if he enters 01 there will be only one number 100123456.

For each of the phone numbers in Polycarp's contacts, find the minimum in length sequence of digits such that if Polycarp enters this sequence, Berdroid shows this only phone number.

Input

The first line contains single integer n (1 ≤ n ≤ 70000)
— the total number of phone contacts in Polycarp's contacts.

The phone numbers follow, one in each line. Each number is a positive 9-digit integer starting with a digit from 1 to 9.
All the numbers are distinct.

Output

Print exactly n lines: the i-th
of them should contain the shortest non-empty sequence of digits, such that if Polycarp enters it, the Berdroid OS shows up only the i-th
number from the contacts. If there are several such sequences, print any of them.

Examples

input

3
123456789
100000000
100123456

output

9
000
01

input

4
123456789
193456789
134567819
934567891

output

2
193
81
91

题意：

有n个9位数的电话号码，对于每个电话号码，输出一个满足以下三个要求的数字串（任意一种）：①尽可能短；②是当前电话号码的一个子串；③不是其他任何电话号码的子串

思路：

先将每个电话号码的所有后缀加入字典树，然后再依次检测每个电话号码的后缀即可（注意要先把当前电话号码从字典树中移除，检测完再加回来，移除时不需要删除节点）

#include<stdio.h>
#include<string.h>
#include<stdlib.h>
using namespace std;
typedef struct Trie_Node
{
int sum;
Trie_Node *next[10];
}Trie;
char str[70005][12];
char ans[12], temp[12];
int bet;
void Query(Trie *root, char *phone)
{
int len;
Trie *p = root;
len = 0;
for(;*phone!='\0';phone++)
{
p = p->next[*phone-'0'];
temp[++len] = *phone;
if(p->sum==0)
{
if(len<bet)
{
bet = len;
temp[len+1] = 0;
memcpy(ans, temp, sizeof(ans));
}
return;
}
}
}
void Reduce(Trie *root, char *phone)
{
int i;
Trie *p = root;
for(;*phone!='\0';phone++)
{
p = p->next[*phone-'0'];
p->sum--;
}
}
void Insert(Trie *root, char *phone);
void Del(Trie *root);
int main(void)
{
int i, j, n;
Trie *root = new Trie;
root->sum = 0;
for(i=0;i<=9;i++)
root->next[i] = NULL;
scanf("%d", &n);
for(i=1;i<=n;i++)
scanf("%s", str[i]+1);
for(i=1;i<=n;i++)
{
for(j=1;j<=9;j++)
Insert(root, str[i]+j);
}
for(i=1;i<=n;i++)
{
bet = 12;
for(j=1;j<=9;j++)
Reduce(root, str[i]+j);
for(j=1;j<=9;j++)
Query(root, str[i]+j);
for(j=1;j<=9;j++)
Insert(root, str[i]+j);
puts(ans+1);
}
Del(root);
return 0;
}

void Insert(Trie *root, char *phone)
{
int i;
Trie *p = root;
for(;*phone!='\0';phone++)
{
if(p->next[*phone-'0']==NULL)
{
Trie *temp = new Trie;
temp->sum = 0;
for(i=0;i<=9;i++)
temp->next[i] = NULL;
p->next[*phone-'0'] = temp;
}
p = p->next[*phone-'0'];
p->sum++;
}
}

void Del(Trie *root)
{
int i;
for(i=0;i<=9;i++)
{
if(root->next[i]!=NULL)
Del(root->next[i]);
}
free(root);
}