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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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Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionExtending the puzzleAdy TZIDON2023-10-05 05:26:22
Solutionre: minor tweak to three fours program; 7 goal numbers remain unsolvedCharlie2018-02-14 23:02:47
91xdog2018-02-14 18:28:49
Hints/Tips71,73,89 ADDEDAdy TZIDON2018-02-14 18:07:33
Contributionarmando2018-02-14 16:49:24
Hints/Tipsre: remain unsolved.....107 109Ady TZIDON2018-02-14 14:27:16
Some Thoughtsminor tweak to three fours program; 7 goal numbers remain unsolvedCharlie2018-02-14 10:35:12
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