NumberMagicEasy | Topcoder Archive

Problem Statement

NOTE: This problem statement contains images that may not display properly if viewed outside of the applet.

Taro shows a magic trick to Hanako.

Taro: Hello Hanako. I'll show you a magic trick. Please imagine a positive integer less than or equal to 16.
Hanako: OK. I imagined it.
Taro: (Taro shows card 1 to Hanako.) Does this card contain your number?
Hanako: Yes.
Taro: (Taro shows card 2 to Hanako.) Does this card contain your number?
Hanako: No.
Taro: (Taro shows card 3 to Hanako.) Does this card contain your number?
Hanako: Yes.
Taro: (Taro shows card 4 to Hanako.) Does this card contain your number?
Hanako: Yes.
Taro: Your number is 5!

(Card 1 contains 1, 2, 3, 4, 5, 6, 7 and 8. Card 2 contains 1, 2, 3, 4, 9, 10, 11 and 12. Card 3 contains 1, 2, 5, 6, 9, 10, 13 and 14. Card 4 contains 1, 3, 5, 7, 9, 11, 13 and 15.)

Your task is to write a program that simulates this magic trick. You are given Hanako's answers in the String answer. The i-th character is 'Y' if she answered "yes" to the i-th question, and 'N' if she answered "no" to the i-th question. Return the integer Hanako imagined.

Definition

Class:: NumberMagicEasy
Method:: theNumber
Parameters:: String
Returns:: int
Method signature:: int theNumber(String answer)
(be sure your method is public)

Constraints

answer will contain exactly 4 characters.
Each character in answer will be 'Y' or 'N'.

Examples

```
"YNYY"
```
```
Returns: 5
```
The example from the statement.
```
"YNNN"
```
```
Returns: 8
```
8 is the only number that exists on the first card and does not exist on any other cards.
```
"NNNN"
```
```
Returns: 16
```
```
"YYYY"
```
```
Returns: 1
```
```
"NYNY"
```
```
Returns: 11
```

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