PERMUT2  Ambiguous Permutations
Some programming contest problems are really tricky: not only do they
require a different output format from what you might have expected, but
also the sample output does not show the difference. For an example,
let us look at permutations.
A permutation of the integers 1 to n is an
ordering of
these integers. So the natural way to represent a permutation is
to list the integers in this order. With n = 5, a
permutation might look like 2, 3, 4, 5, 1.
However, there is another possibility of representing a permutation:
You create a list of numbers where the ith number is the
position of the integer i in the permutation.
Let us call this second
possibility an inverse permutation. The inverse permutation
for the sequence above is 5, 1, 2, 3, 4.
An ambiguous permutation is a permutation which cannot be
distinguished from its inverse permutation. The permutation 1, 4, 3, 2
for example is ambiguous, because its inverse permutation is the same.
To get rid of such annoying sample test cases, you have to write a
program which detects if a given permutation is ambiguous or not.
Input Specification
The input contains several test cases.
The first line of each test case contains an integer n
(1 ≤ n ≤ 100000).
Then a permutation of the integers 1 to n follows
in the next line. There is exactly one space character
between consecutive integers.
You can assume that every integer between 1 and n
appears exactly once in the permutation.
The last test case is followed by a zero.
Output Specification
For each test case output whether the permutation is ambiguous or not. Adhere to the format shown in the sample output.
Sample Input
4 1 4 3 2 5 2 3 4 5 1 1 1 0
Sample Output
ambiguous not ambiguous ambiguous
hide comments
xinnix:
20160711 08:34:59
Passages like these must be given in CAT to f*c* peoples' brain. 

adi_1996:
20160624 05:55:46
cakewalk :D 

Akash Saha:
20160621 17:38:25
Last edit: 20160621 21:38:27 

gautam:
20160403 12:36:27
easy one....;) 

utkarsh538:
20160331 07:09:42
easy question :)


chalarangelo:
20160315 20:09:11
I have submitted multiple solutions in Python 3.4 and all give wrong answer, although I checked with a whole lot of input and the output is corret. Is there some formatting trick I need to know like end of lines etc.? 

neil145912:
20160314 21:34:46
WA for "ambigous" instead of "ambiguous" :(


dokz:
20160105 11:29:28
Spent so much time getting the WA. The problem was in word spelling: it is "ambiguous", not "ambigious". Oh, English... 

tarunver123:
20151213 08:10:58
AC in 2nd go ...did a silly mistake..:) 

raghav12345:
20151114 08:28:58
easy one.... 
Added by:  Adrian Kuegel 
Date:  20050624 
Time limit:  10s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS PERL 6 VB.net 
Resource:  own problem, used in University of Ulm Local Contest 2005 