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.

(In reply to minor tweak to three fours program; 7 goal numbers remain unsolved by Charlie)

107=====>          (4!+4!-.4.)/.4.= 48-4/9)/4/9=108-1=107
108 518 4,4,4!+*,4-        4*(4+(4)!)-4
109 =============>   (44-.4)/.4=110 -1=109      
110 25 4,4,4!+*,4v-         

will try to add more

LATER

Posted by Ady TZIDON on 2018-02-14 14:27:16