STPAR - Street Parade


For sure, the love mobiles will roll again on this summer's street parade. Each year, the organisers decide on a fixed order for the decorated trucks. Experience taught them to keep free a side street to be able to bring the trucks into order.

The side street is so narrow that no two cars can pass each other. Thus, the love mobile that enters the side street last must necessarily leave the side street first. Because the trucks and the ravers move up closely, a truck cannot drive back and re-enter the side street or the approach street.

You are given the order in which the love mobiles arrive. Write a program that decides if the love mobiles can be brought into the order that the organisers want them to be.

Input

There are several test cases. The first line of each test case contains a single number n, the number of love mobiles. The second line contains the numbers 1 to n in an arbitrary order. All the numbers are separated by single spaces. These numbers indicate the order in which the trucks arrive in the approach street. No more than 1000 love mobiles participate in the street parade. Input ends with number 0.

Output

For each test case your program has to output a line containing a single word "yes" if the love mobiles can be re-ordered with the help of the side street, and a single word "no" in the opposite case.

Example

Sample input:
5
5 1 2 4 3 
0

Sample output:
yes

Illustration

The sample input reflects the following situation:

The five trucks can be re-ordered in the following way:


hide comments
shubhamptw: 2019-10-12 08:55:20

confidence booster!

atanu_mt_ai_2: 2019-10-03 19:36:00

What is the use of this line " Input ends with number 0" ?

pprathamesh: 2019-08-19 11:08:56

What will be the output for 1 2 3 4 5?

alexyu: 2019-07-31 10:16:39

easy problem but with terrible input format and confusing problem spec, wonder why it has such high quality rating

shreyakjain14: 2019-07-27 11:33:22

I have implemented this via circular queue. In my algorithm, I have find out the least element in set and then assigned the index of this element to front and rear is one minus of it. I had got results for the given samples. But I had got wrong answer when I submitted it . Can anyone help me to point out my mistake? Following is the link of my code:
<script src="https://ideone.com/e.js/yFMs6o" type="text/javascript" ></script>

Last edit: 2019-07-31 09:55:14
anhtuan96a8: 2019-07-17 04:27:14

2
3 4
0
I think output is yes but answer is no :((( May you guys explain for me ?

shreyashlrn1: 2019-07-13 20:38:43

try this
10
1 2 10 5 4 3 7 6 8 9 0
yes
This program can be done by only using pop,top and push operations

Last edit: 2019-07-13 20:55:59
abhaypatro: 2019-06-30 13:37:44

found the language to be a bit confusing , it took me a while to completely understand it.
the input form is like this
INPUT
5
5 1 2 4 3
5
4 1 5 3 2
0
OUTPUT
yes
no
hope this helps :)

sharath29: 2019-06-23 08:46:07

AC in one go!

utkarsh_bansal: 2019-06-14 09:37:21

what is the order?
always ascending or descending is also applicable?

Last edit: 2019-06-14 09:38:09

Added by:Patryk Pomykalski
Date:2004-07-01
Time limit:1s-2s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:Swiss Olympiad in Informatics 2004