perplexus.info :: Numbers : Ones only

Ones only (Posted on 2021-07-12)

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

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Comments: ( Back to comment list | You must be logged in to post comments.)

Some candidate answers

| Comment 1 of 8

6 = (1+1+1)!

score 3

9 = 11-1-1

score 4

18 = (11-1-1)(1+1)

9*2

score 6

45 = $((11-1)^((1+1+1)!-1))

$(10^(3!-1)-1)

$99999

score 7

60=(1+1+1)!*(11-1)

6*10

score 6

265=(11)*((1+1)^(1+1))!+1

11*(2^2)!+1

11*24+1

score 7

Total=33

Not using more than 3 plus signs makes it tough, but I found ways around this.

Edit to remove concatenation symbol as is isn't needed and to fix 265

Edited on July 14, 2021, 7:54 am

Posted by Jer on 2021-07-13 16:26:15

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