Container Final State

In this problem, you are given a container that initially is in a locked state. The container can receive two types of operations: lock and unlock. The operations are applied sequentially, and they change the state of the container as follows:

• If the operation is lock, the container becomes locked.
• If the operation is unlock, the container becomes unlocked.

Your task is to determine the final state of the container after applying a sequence of operations. Furthermore, the input consists of multiple datasets, each representing a set of operations. The input terminates with a line containing end, which should not be processed.

The final state for each dataset must be printed on a separate line.

inputFormat

The input is provided through standard input (stdin) and consists of several lines. Each line (dataset) contains a sequence of operations (lock or unlock) separated by space.

The sequence of datasets ends with a line that contains the word end. Do not process this line.

outputFormat

For each dataset, output the final state of the container (locked or unlocked) on a separate line to standard output (stdout).

## sample

unlock unlock lock lock
lock unlock
unlock
lock lock unlock
end

locked
unlocked
unlocked
unlocked

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