Louise and Richard have developed a numbers game. They pick a number and check to see if it is a power of . If it is, they divide it by . If not, they reduce it by the next lower number which is a power of . Whoever reduces the number to wins the game. Louise always starts.

Given an initial value, determine who wins the game.

Example

It's Louise's turn first. She determines that is not a power of . The next lower power of is , so she subtracts that from and passes to Richard. is a power of , so Richard divides it by and passes to Louise. Likewise, is a power so she divides it by and reaches . She wins the game.

Update If they initially set counter to , Richard wins. Louise cannot make a move so she loses.

Function Description

Complete the counterGame function in the editor below.

counterGame has the following parameter(s):

• int n: the initial game counter value

Returns

• string: either Richard or Louise