#P1919. The Smallest String Concatenation
The Smallest String Concatenation
说明
C. The Smallest String Concatenation
time limit per test
3 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputYou're given a list of n strings a1,a2,...,an. You'd like to concatenate them together in some order such that the resulting string would be lexicographically smallest.
Given the list of strings, output the lexicographically smallest concatenation.
Input
The first line contains integer n − the number of strings (1≤n≤5·104).
Each of the next n lines contains one string ai (1≤|ai|≤50) consisting of only lowercase English letters. The sum of string lengths will not exceed 5·104.
Output
Print the only string a − the lexicographically smallest string concatenation.
Examples
Input
4
abba
abacaba
bcd
er
Output
abacabaabbabcder
Input
5
x
xx
xxa
xxaa
xxaaa
Output
xxaaaxxaaxxaxxx
Input
3
c
cb
cba
Output
cbacbc
样例