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Four fours (Posted on 2018-02-14) Difficulty: 3 of 5
Arrange 4 fours into various expressions to generate all integer numbers, from 1 to 112 inclusive like:

1 = 44 ÷ 44
2=sqrt 4 - (4 - 4) x 4
3 = (4 + 4 + 4) ÷ 4
4 = 4 + 4 × (4 - 4)
... ...
7= 44/4-4
... ...
19=4!-4-4/4
... ...
100=4*4!+sqrt(4*4)
etc

Allow use of concatenation, +, -, x, /, sqrt, exponentation, factorial,decimal fractions, overline & brackets.


Source: Inspired by Martin Gardner statement.

No Solution Yet Submitted by Ady TZIDON    
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Hints/Tips 71,73,89 ADDED | Comment 4 of 7 |
71=(4!+4.4)/.4=28.4/0.4=71
73=SQRT(SQRT(SQRT(4^4!)))+4/.4.=64+9=73
89=(SQRT4+4!)/.4+4!=26/.4+24=65+24=89
93=4*4!-SQRT(4/.4.)=96-3=93


STILL MISS 91


MAYBE LATER

  Posted by Ady TZIDON on 2018-02-14 18:07:33
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