Raymond is good at sequences. He has made a puzzle that no one in his class could solve. It involves taking a number, finding the number of letters it has, then making this number the new number, and doing this over and over again to form a sequence. Raymond found that he would always end up repeating forever at the number , because it has 4 letters, `four`

. He showed some sample sequences to get , but none of his classmates could solve the puzzle. He is exhausted from having to count out new patterns, so he gives the task to you. You must write a program to display the sequence from an input to 4.

#### Numbers

You will use the following spellings:

```
1 = one 11 = eleven 30 = thirty 1000 = onethousand
2 = two 12 = twelve 40 = forty 1090 = onethousandninety
3 = three 13 = thirteen 50 = fifty 2500 = twothousandfivehundred
4 = four 14 = fourteen 60 = sixty 5123 = fivethousandonehundredtwentythree
5 = five 15 = fifteen 70 = seventy 10 000 = tenthousand
6 = six 16 = sixteen 80 = eighty 100 000 = onehundredthousand
7 = seven 17 = seventeen 90 = ninety 1 000 000 = onemillion
8 = eight 18 = eighteen 100 = onehundred 10 000 000 = tenmillion
9 = nine 19 = nineteen 101 = onehundredone 100 000 000 = onehundredmillion
10 = ten 20 = twenty 200 = twohundred 1 000 000 000 = onebillion
```

*Note: There are no spaces.*

#### Input Specification

The input will consist of an integer , the number to start the sequence.

#### Output Specification

Output one integer on each line the sequence from (exclusive) to (inclusive).

*Note: Do not prompt for input, as this will cause the judge to take the prompt as the solution.*

#### Sample Input 1

`6`

#### Sample Output 1

```
3
5
4
```

#### Explanation for Sample Output 1

is spelled as `six`

, which has 3 letters, so the next number will be .
is spelled as `three`

, which has 5 letters, so the next number will be .
is spelled as `five`

, which has 4 letters, so the next number will be .
Once is reached, the sequence is over.

#### Sample Input 2

`101`

#### Sample Output 2

```
13
8
5
4
```

#### Explanation for Sample Output 2

is spelled as `onehundredone`

, which has 13 letters, so the next number will be .
is spelled as `thirteen`

, which has 8 letters, so the next number will be .
is spelled as `eight`

, which has 5 letters, so the next number will be .
is spelled as `five`

, which has 4 letters, so the next number will be .
Once is reached, the sequence is over.

## Comments

ok, so how do you make 7 into seven?

Hint:Think about storing the words into an array (or vector or Arraylist)Hey, I just spent a lot of time on my Python code (that I hope works properly). However, when I went to submit it, I found out that the library that I used can't be imported. I was wondering if there is a way to fix that (or at least if there is a way to know what libraries can't be used for the future). Thanks!

Only packages included in a standard CPython installation are available. That excludes pretty much everything on PyPI.

Okay, thanks a lot!

Explanation for Sample Output 2onehundredone = 13 letters, thirteen = 8 letters

Fixed it.