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Velobici: How about adding a Problem of the Day diagram to the front page? The diagram could be pulled from one of the pages with the keyword problem. Please see http://gobase.org] for an example. Clicking on the problem would take one to the solution page. Alternatively, or in addition, a new page called Problem of the Day? could be an alias to a problem. Let the computer automatically cycle through all the problems on SL and then start again...or we could use psudorandom selection. Some coding required.
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Reuven: Unless the problem is a page with notes and all... That is, if it's just a diagram on the main page, maybe taking the problem from goproblems.com would be possible since it's a partner site (In the same spirit)... Naturally if both sides agree....
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Willemien: this is a bit a two sided sword. If it is a problem for beginners, advanced players will not like it. And think that sensei library is only for beginners. If it is a problem for advanced players beginners will be discouraged.
Maybe two problems? or with rating stars? (PS this rating is for difficulty)