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delirium happy

Just keep on trying till you run out of cake

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puzzle me this
delirium happy
rho
I remember when I was younger doing a type of puzzle that was like a crossword grid, except instead of having clues, all the squares had a number from 1-26, each representing a letter of the alphabet, with a few (normally three) of the letters given as a starting point. I was just wondering how well these would stand up to being done by frequency analysis (I think it's called. The way of breaking cyphers where you just compare the frequency of the symbols with the known frequency with which letters occur in the english language). I don't know whether you could more or less solve them in a fool proof fashion that way, or if the sample size wouldn't be large enough, and the words would be too random. Any ideas anyone? (oh, and does anyone know what that type of puzzle is called?)

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s/for frequency analysis/& to work reliably/
Oops. :-)

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