Following our tradition, we first find out the range of candidates.
The first user is @1walfrido2, whose user id is 22609. He/she is first one signed up on Nov 11.
The last user is @kjmelnis, whose user id is 23802. He/she is the last one signed up on Dec 30.
Therefore we got 1194 signups. Everyone with a user id in the range of [22609, 23802] will have a chance to get the 1 LTC. You can get your user id using this API: https://litecointalk.io/users/{{username}}.json
To ensure the fairness of the draw, we follow our tradition. But this time, I will use Litecoin block hash instead.
I will use the hash of the 1978286th Litecoin block, which is still about 1000 blocks away, i.e. about 41 hours later, as the random number generator. Once we get the hash, we use the hash as the random number to determine who is the winner.
You can check Litecoin blocks here: https://insight.litecore.io/blocks