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 Three fours (Posted on 2017-12-06)
Majority of the integers from 1 to 100 can be evaluated using three 4's, +, -, *, /, ^, sqrt, decimal point, dot above a number, and !,!!,...? (both as factorials, multifactorials and subfactorials).

Clearly, both concatenation and brackets are allowed.

Let's try to minimize the set of "not achievable" numbers.

Team work to include all possible answers is encouraged.

 No Solution Yet Submitted by Ady TZIDON No Rating

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 re(2): computer solutions (spoilers) Comment 3 of 3 |

As mentioned in my post, I avoided using subfactorial unless no other way produced a result for a given number.  The way I accomplished that was to specify  For typ = 0 To 10 instead of  For typ = 0 To 11.

I then ran it with the full 11 options, the 11th being to try subfactorial. Then, the missing formulae in the first run were filled in by entries on the second run.  Apparently I deleted the empty line 53 without replacing it with the one from the second run.

I've gone back and put 44+!4 in its proper place on line 53.

 Posted by Charlie on 2017-12-07 09:05:40

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