Queues: Ticket Counter

N people line up in a queue on a ticket counter to buy tickets for the new movie.

Each person Xhas a token Tx

The person who is at the front of the queue can only obtain the ticket if there is no one behind him with a token number less than that of the person at the front of the queue.

If the person in the front of the queue is able to obtain the ticket, he gets removed from the queue.

If the person at the front of the queue cannot obtain the ticket and again

lines up at the back.

Given that it takes $1$ second for a person to obtain a ticket and get removed

from the queue or line up at the back, find the total tinte to process the queue of N people. Therefore, given a

queue of N people, find the number of seconds to process the queue.

Function Description

In the provided code snippet, implement the provided numSeconds $(...)$

method using the variables to print the number of seconds to process the queue.

You can write your code in the space below the phrase "WRITE YOUR LOGIC HERE".

There will be multiple test cases running so the Input and Output should match exactly as provided.The base Output variable result is set to a default value of $-484$ which can be modified. Additionally, you can add or remove these output variables.

Input Format

The first line of the input contains a number N denoting the people in the queue.

Each subsequent lines i$,$ contains an integer Tx$,$ denoting the token number of ith person in the queue and is stored in an array A$.$

Sample Input

$3----$ denotes N

$3----$ denotes token no of $1$st person

$3----$ denotes token no of $2$nd person

$1---$denotes token no of $3$rd person

Conatraints

$1<=$N$<=500$

$1<=|$Tx$|<=$N

Output Format

The output contains a single integer denoting the number of seconds to process the queue.

Sample Output

$6$

Explanation

Here, the following sequence of events takes place:

$1.$ The person with token number $3$ cannot obtain the ticket, so he lines up at the back of the queue. The queue now becomes $[2,1,3]$

$2.$ The person with token number $2$ cannot obtain the ticket, so he lines up at

the back of the queue. The queue now becomes $[1,3,2]3.$ The person with token number $1$ obtains the ticket, so he gets removed

from the queue. The queue now becomes $[3,2]4.$ The person with token number $3$ cannot obtain the ticket, so he lines up at

the back of the queue. The queue now becomes $[2,3]5.$ The person with token number $2$ obtains the ticket, so he gets removed from the queue. The queue now becomes $[3]$

$6.$ The person with token number $3$ obtains the ticket, so he gets removed from the queue. The queue now becomes $[]$

Thus, it takes a total of $6$ seconds to process the queue of N people. Hence, the output is $6.$