While I can appreciate the experimental nature of this quiz, I think in that situation I would probably just make a natural water filter out of my sock with available grass, dirt and hope for the best.
About the only idea I've seen that seems worth an attempt is finding, digging a hole, building a fire, heating rocks to drop in, catching the steam with shirt and wringing out. Although firing the clay pot seems like an interesting idea...what would happen to me is that I would spend 6 hours working on a clay pot that wound up not holding water. <img src="/images/graemlins/tongue.gif" alt="" />
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Get busy living...or get busy dying!