Problem J3: Creative Candy Consumption

Problem Description

Ngoc and Minh devised a creative way to eat candy that comes in three different colours: red, green, and blue.

They begin by arranging some coloured candies into a line. Then, the candy at the front of Ngoc's line is compared to the candy at the front of Minh's line. If both candies are the same colour, then Ngoc and Minh each eat the candy at the front of their own line. If the candies are different colours, then the person with the winning candy eats the losing candy, and the winning candy stays at the front of its line.

Red candy wins against green candy .
Green candy wins against blue candy .
Blue candy wins against red candy .

This process of comparing and eating candy repeats until there is at least one empty line of candy. When that happens, if one person still has candy left in their line, then that person eats all of their leftover candy.

Your job is to determine how much candy each person eats.

Input Specification

The first line of input contains a sequence of $N$ letters, representing Ngoc's line of candy. The second line of input contains a sequence of $M$ letters, representing Minh's line of candy. Each letter will be an uppercase R, G, or B representing the colours red, green, and blue, respectively. The first letter in each sequence represents the colour of the candy at the front of that person's line. (There will always be at least one letter in each sequence.)

The following table shows how the $15$ available marks are distributed:

Marks	Description	Bounds
$2$	Ngoc and Minh each have one candy.	$N = 1$ and $M = 1$
$4$	Either Ngoc's line will empty first, or both lines will empty at the same time. Ngoc and Minh could have many candies.	$N \leq 50$ and $M \leq 50$
$7$	Ngoc and Minh could have many candies.	$N \leq 50$ and $M \leq 50$
$2$	Ngoc and Minh could have an absurd amount of candy.	$N \leq 1\,000\,000$ and $M \leq 1\,000\,000$

Output Specification

There will be two lines of output.

On the first line, output the number of candies Ngoc eats. On the second line, output the number of candies Minh eats.

Sample Input

RRR
RGBB

Output for Sample Input

2
5

Explanation of Output for Sample Input

Candy Lines	Description	Summary
Ngoc: Minh:	Both people have red candy at the front of their lines. Ngoc eats her red candy and Minh eats his red candy.	So far, Ngoc has eaten $1$ candy and Minh has eaten $1$ candy.
Ngoc: Minh:	Ngoc's red candy wins against Minh's green candy. Ngoc eats Minh's green candy.	So far, Ngoc has eaten $2$ candies and Minh has eaten $1$ candy.
Ngoc: Minh:	Minh's blue candy wins against Ngoc's red candy. Minh eats Ngoc's red candy.	So far, Ngoc has eaten $2$ candies and Minh has eaten $2$ candies.
Ngoc: Minh:	Minh's blue candy wins against Ngoc's red candy. Minh eats Ngoc's red candy.	So far, Ngoc has eaten $2$ candies and Minh has eaten $3$ candies.
Ngoc: Minh:	Ngoc's line of candy is empty, so the process ends. Minh eats his remaining blue candies.	In total, Ngoc eats $2$ candies and Minh eats $5$ candies.