JNEXT  Just Next !!!
DevG likes too much fun to do with numbers. Once his friend Arya came and gave him a challenge, he gave DevG an array of digits which is forming a number currently (will be called as given number). DevG was challanged to find the just next greater number which can be formed using digits of given number. Now DevG needs your help to find that just next greater number and win the challenge.
Input
The first line have t number of test cases (1 <= t <= 100). In next 2*t lines for each test case first there is number n (1 <= n <= 1000000) which denotes the number of digits in given number and next line contains n digits of given number separated by space.
Output
Print the just next greater number if possible else print 1 in one line for each test case.
Note : There will be no test case which contains zero in starting digits of any given number.
Example
Input: 2 5 1 5 4 8 3 10 1 4 7 4 5 8 4 1 2 6 Output: 15834 1474584162
hide comments
suraj_:
20160813 15:17:39
did without stl


mkfeuhrer:
20160617 00:00:35
too easy with stl:) 

satyamsingh:
20160414 09:08:16
My 100th on spoj :) 

giriprasad kemburu:
20160223 03:12:46
Nice problem.solved without using stl 

newbie:
20151113 23:54:53
love u stl :) ac in one go 

Deepak :
20151102 09:01:12
Stl...:)


arpitkath:
20151102 07:14:25
if u want to do without stl: http://www.nayuki.io/page/nextlexicographicalpermutationalgorithm 

MAYANK NARULA:
20151031 15:05:26
Solving this problem w/o stl is pretty cool thing though.. 

sujit yadav:
20150921 18:54:12
why this question has green rating ? extremely easy using c++ stl :O


loverboy:
20150911 09:42:59
got A.C. in first attempt ,really easy use STL In c++

Added by:  ! include(L.ppt) 
Date:  20120831 
Time limit:  1.297s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ASM64 
Resource:  MNNIT OPC 31082012 