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 i-th 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

1 4 3 2
2 3 4 5 1

Sample Output

not ambiguous

hide comments
mohit_010: 2021-11-13 06:53:28

AC in second go

the_art_maniac: 2021-05-31 01:19:14

much needed confidence booster :(:

coolboy7: 2020-06-02 20:55:16

abe kafi easy hai... ac in one go se kya mil rha h tum logo ko...

saraswat000: 2019-08-27 21:22:05

Ac in one go!

sarthak_1998: 2019-05-20 16:16:29

Did the question with structs in c++ which made the question quite easy.

markaman: 2018-12-30 16:20:59

Just read problem statement carefully

cypher33: 2018-12-28 14:13:55

Easy question hai chutiyon AC in 1 go likh ke khush kya ho ja rahe ho...

bugsbunnyo1: 2018-11-24 18:32:49

Be careful, wrote non instead of non resulted in WA!

kundannayak51: 2018-10-17 13:10:30

wasted 3 hour because I was taking input of no. of testcases from user as we normally do in competitive coding.
Dont do this.

phoemur: 2018-09-11 18:16:31

AC in std::numeric_limits<unsigned long long>::max() go !!!

Added by:Adrian Kuegel
Time limit:10s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:own problem, used in University of Ulm Local Contest 2005