Compare Geometric Sequence Sum

Given four numbers a₁, r, n, and x, calculate the sum of the first n terms of a geometric sequence where the sum S_n is defined as:

\( S_n = \begin{cases} a_1 \times n & \text{if } r = 1,\\[6pt] a_1 \times \frac{1-r^n}{1-r} & \text{if } r \neq 1 \end{cases} \)

After computing the sum, compare it with the given value x and output one of the following results:

• GREATER if S_n > x
• EQUAL if S_n = x
• LESS if S_n < x

This problem tests your ability to work with geometric progressions and precision in arithmetic computations.

inputFormat

The input consists of a single line containing four space-separated values: a₁, r, n, and x. Here, a₁, r, and x can be integer or floating-point numbers, while n is an integer.

outputFormat

Output a single line with one of the strings: GREATER, EQUAL, or LESS, which indicates the comparison result between the computed geometric sum and x.

## sample

1 -1 3 -1

GREATER

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