Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

D. Polycarp's phone book

time limit per test

4 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputThere 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

Codeforces (c) Copyright 2010-2018 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Oct/19/2018 17:33:47 (f1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|