### Problem Statement

In this problem, you will simulate a program that controls the actions of a progress indicator. The indicator is a single bar character in the middle of the screen with one of 4 states: '|', '-', '\', and '/'. The program is given as a sequence of instructions in the form:

<instr> <secs>

where <instr> represents one of 4 possible actions, and <secs> is the action's duration in seconds. The action is performed once each second. The 4 possible actions are::
• 'L': Spin left. If the bar is in state '|', it goes to '\'. State '\' goes to '-', '-' goes to '/', and '/' goes to '|'.
• 'R': Spin right. This is the exact opposite of 'L': '\' goes to '|', '|' goes to '/', '/' goes to '-', and '-' goes to '\'.
• 'S': Stay. The bar remains in its current state.
• 'F': Flip. The bar is rotated 90 degrees: '\' becomes '/', '/' becomes '\', '-' becomes '|', and '|' becomes '-'.
So, the sequence "F03L02" and the starting state of '-' leads to the following sequence: "-|-|\-".

You are given a program and a startState. Return a String containing the sequence of states produced by the program. The ith character of the String is the state of the progress indicator after i seconds. At time 0, the indicator is in its initial state, so the first character of the return value is always startState.

### Definition

 Class: IndicatorMotion Method: getMotion Parameters: String, char Returns: String Method signature: String getMotion(String program, char startState) (be sure your method is public)

### Notes

-In the examples the character '\' appears as '\\' because of the C++/Java syntax for escaping characters.

### Constraints

-startState will be '|', '-', '\' or '/'.
-program will contain exactly 3*k characters, where k is an integer between 0 and 10, inclusive.
-For each k, the (3*k)-th character in program will be one of 'L', 'R', 'F' or 'S'.
-For each k, the (3*k+1)-th and (3*k+2)-th characters of program will be digits ('0'-'9').

### Examples

0)

 `"F03L02R03S02F04"` `'-'`
`Returns: "-|-|\\-\\|///\\/\\/"`
 This leads to the following sequence of states (below each state is the action performed during that second): -|-|\-\|///\/\/ .FFFLLRRRSSFFFF
1)

 `"F10R01F10"` `'/'`
`Returns: "/\\/\\/\\/\\/\\/-|-|-|-|-|-"`
2)

 `""` `'/'`
`Returns: "/"`
 Watch out for empty programs!
3)

 `"F00R00L00S00"` `'\\'`
`Returns: "\\"`
 And "empty" programs.

#### Problem url:

http://www.topcoder.com/stat?c=problem_statement&pm=6173

#### Problem stats url:

http://www.topcoder.com/tc?module=ProblemDetail&rd=9819&pm=6173

soul-net

#### Testers:

PabloGilberto , brett1479 , radeye , Olexiy

#### Problem categories:

Simulation, String Manipulation