Long Floating Number

By Kay Akashi

Problem Statement

Given a positive decimal $N$, judge whether $N$ is smaller than, equal to, or larger than $1$.

Note that, $N$ may contain trailing zeros (e.g. $N = 1.4040000000$).

Constraints

$0 \leq N \lt 2$.

Input

The first line of input is a single floating value, $N$. $N$ is given with as many as $1000$ decimal places.

Output

If $N \lt 1$, output "smaller". If $N = 1$, output "equal". If $1 \lt N$, output "larger".

Examples

1.925

larger

0.000000000000000000003

smaller

1.00000

equal