The Masuda Method. Find a regular Swinub and breed it with a foreign language pokemon, and your chances drop from 1/8200 to 1/1300, and with the right items, you can control its nature and one of its IVs, which is always helpful. I've actually hatched a shiny pokemon using this method, and it takes forever and is really boring. Make sure you have a pokemon with flame body to make the eggs hatch more quickly.
Luckily for you, some pokemon hatch more quickly than others (Dratini takes forever, for example), and I bet Swinub is one of the faster ones.
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Not changing this sig until I decide to change this sig.
Started: July 6, 2005