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Ones only (Posted on 2021-07-12) Difficulty: 3 of 5
What is the minimal number of “ones” needed to express the following 6 numbers:

6, 9, 18, 45, 60, 265.

You may use only the following symbols, each symbol up to three times and any quantity of brackets .

+ - / * ^ !
$ Sum of digits.
. Decimal point
Sqrt Square root.
and concatenation
(of numbers only)

Sum up the total of ones and publish your answer.
Examples:
37=111/(1+1+1). Scores 6
48=((1+1+1)!)!! Scores 3

List your 6 formulas.

NB: The order of candidate numbers is not by the level of difficulty

No Solution Yet Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: Some candidate answers | Comment 2 of 8 |
(In reply to Some candidate answers by Jer)

a. Concatenation does not  need a sign. and is allowed only using numbers, not expressions.  See the example provided in the puzzle , 

111/ (1+1+1).
b. 265.  You should change -1 into 1 otherwise it’s 263.

The score is far away from minimal, my best is 22 and it might be improved - please see my interim version.


  Posted by Ady TZIDON on 2021-07-13 23:33:14
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