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Problem Statement

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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

1. "YNYY"

   Returns: 5

   The example from the statement.

2. "YNNN"

   Returns: 8

   8 is the only number that exists on the first card and does not exist on any other cards.

3. "NNNN"

   Returns: 16

4. "YYYY"

   Returns: 1

5. "NYNY"

   Returns: 11

6. "NNNY"

   Returns: 15

7. "NNYN"

   Returns: 14

8. "NNYY"

   Returns: 13

9. "NYNN"

   Returns: 12

10. "NYYN"

    Returns: 10

11. "NYYY"

    Returns: 9

12. "YNNY"

    Returns: 7

13. "YNYN"

    Returns: 6

14. "YYNN"

    Returns: 4

15. "YYNY"

    Returns: 3

16. "YYYN"

    Returns: 2