Comparing Large Integers Represented as Strings

You are given two non-negative integers X and Y in the form of strings. The task is to determine whether X is greater than or equal to Y.

The comparison is as follows:

• If the length of X is greater than the length of Y, then X is greater than Y.
• If the length of X is less than the length of Y, then X is smaller than Y.
• If the lengths are equal, a lexicographical comparison is performed. In other words, when X and Y have the same number of digits, we compare them digit by digit from left to right.

Mathematically, if we let n be the length of X and m be the length of Y, then:

[ X \geq Y \iff \begin{cases} \text{if } n > m, & \text{then } X \geq Y, \ \text{if } n < m, & \text{then } X < Y, \ \text{if } n = m, & \text{then } X \geq Y \text{ (comparing lexicographically)}. \end{cases} ]

Your goal is to implement a solution that works for arbitrarily large integers provided as strings.

inputFormat

The input is given from stdin and consists of exactly two lines:

• The first line contains the string representation of the first large integer X.
• The second line contains the string representation of the second large integer Y.

outputFormat

Print a single line to stdout containing True if X is greater than or equal to Y, or False otherwise.

## sample

1234567891234567891234
123456789123456789

True