Problem 093

[TripleM]

Yes, see the fourth example where * has been used more than once.

[TiptTop]

Yes, see the fourth example where * has been used more than once.

Seems like I did not understand the problem clearly.

It says ".... it is possible to obtain thirty-one different target numbers .... and each of the numbers 1 to 28 can be obtained before encountering the first non-expressible number"

From the rules stated in the problem statement, one can get 31 different numbers with largest number 36. Then what is 28? Please clarify. Thanks.

[jaap]

Yes, see the fourth example where * has been used more than once.

Seems like I did not understand the problem clearly.

It says ".... it is possible to obtain thirty-one different target numbers .... and each of the numbers 1 to 28 can be obtained before encountering the first non-expressible number"

From the rules stated in the problem statement, one can get 31 different numbers with largest number 36. Then what is 28? Please clarify. Thanks.

All the numbers 1, 2, ..., 28 are expressible, 29 is the first number that is non-expressible using the set {1,2,3,4}.

The question asks you to find a different set of digits; chosen to make that first non-expressible number is as high as possible.

[v6ph1]

As stated in the problem description:
You can express all numbers from 1 to 28 - but not 29.
30 = 2*3*(1+4), 32 = 2*(1+3)*4 and 36 are the other three.

[TiptTop]

Thanks guys.

[joachim-ma]

Hi, it's my first post in this forum
I don't get it, to build the 27 with the set in the example {1,2,3,4}
Could anybody help me?

[sjhillier]

Think of the divisors of $27$, eg $27=3 \times 9$ . Now how can you reach $3$ and $9$ with the given inputs? I'm sure you'll work it out!

[joachim-ma]

Think of the divisors of $27$, eg $27=3 \times 9$ . Now how can you reach $3$ and $9$ with the given inputs? I'm sure you'll work it out!

Thank you, I was blind

[itteerde]

can someone plz check which case/s are wrong? Although I do not have any code fine tuned to the example it gets the exmple right but not the answer:

{{9},{0,1,2,3}}
{{10},{0,1,2,4}}
{{12},{0,1,2,5}}
{{14},{0,1,2,6}}
{{15},{0,2,3,7}}
{{28},{1,2,3,4}} //example
{{34},{1,2,3,8}}
{{37},{1,2,4,7}}
{{40},{1,2,4,9}}
{{43},{1,2,5,6}}

if that is what you get you are missing terms such as (9-(6-2))*3=15 and your shortcut does not work at all - back to proper tree of operators...

[DJohn]

can someone plz check which case/s are wrong?

This forum isn't supposed to be for hints or checking partial solutions, although it seems that rule can be a bit flexible sometimes. You have correctly understood the problem.

Is it possible to make 8 from {1,3,7,9}?

[parasakin]

Am I missing something????

1 = 6 + 8 / 9 - 5
2 = 6 + 9 - 5 - 8
3 = 8 + 6 / 9 - 5
4 = 8 + 9 / 6 - 5
5 = 9 + 8 / 6 - 5
6 = 8 + 9 - 5 - 6
7 = 8 * 9 / 6 - 5
8 = 8 + 5 / 6 * 9
9 = 9 + 5 / 6 * 8
10 = 5 + 6 + 8 - 9
11 = 5 + 6 + 8 / 9
12 = 5 + 6 + 9 - 8
13 = 5 + 8 + 6 / 9
14 = 5 + 8 + 9 / 6
15 = 5 + 9 + 8 / 6
16 = 5 + 8 + 9 - 6
17 = 8 + 9 + 5 / 6
18 = 6 + 8 + 9 - 5
19 = (5 + 8) * 9 / 6
20 = 6 + 8 * 9 / 5
21 = (8 - 5) * 9 - 6
22 = 5 * 9 / (8 - 6)
23 = (8 - 6) * 9 + 5
24 = 5 * 6 / 9 * 8
25 = 5 * 8 - 6 - 9
26 = 5 * 6 * 8 / 9
27 = 5 * 6 / 8 * 9
28 = 5 + 6 + 8 + 9
29 = 8 + 5 * 6 - 9
30 = 5 * 6 + 8 / 9
31 = 9 + 5 * 6 - 8
32 = (9 - 5) * 6 + 8
33 = 5 * 6 * 9 / 8
34 = 6 * 8 - 5 - 9
35 = (6 + 9 - 8) * 5
36 = (5 + 9 - 8) * 6
37 = 6 + 5 * 8 - 9
38 = (9 - 5) * 8 + 6
39 = 5 * 8 - 9 / 6
40 = 5 * 8 + 6 / 9
41 = 5 * 8 + 9 / 6
42 = 8 * 9 - 5 * 6
43 = 6 + 5 * 9 - 8
44 = 5 + 6 * 8 - 9
45 = 5 * 9 + 6 / 8
46 = 5 * 9 + 8 / 6
47 = 8 + 9 + 5 * 6
48 = 6 * 8 + 5 / 9
49 = 6 * 8 + 9 / 5
50 = (9 + 8 / 6) * 5
51 = 5 + 6 * 9 - 8
52 = 9 + 6 * 8 - 5
53 = 6 * 9 - 8 / 5
54 = 6 * 9 + 5 / 8
55 = 6 + 9 + 5 * 8
56 = 5 * 9 / 6 * 8
57 = 8 + 6 * 9 - 5

[jaap]

Am I missing something????

1 = 6 + 8 / 9 - 5

6 + 8 / 9 - 5 is not a whole number (=1.88888....). Many computer languages will round an integer division such as 8/9 down to zero, but that is not a valid answer to the question. Take a good look at the examples given in the problem.

[TexasRebel]

This is my last problem in the first 100...

I'm having a very difficult time not just guessing the 126 possible answers.

[RishadanPort]

What happens when if a number cannot be evenly divided. -- Does it just treat as int division.

AKA
1 / 2 = 0
or
1 / 2 = 0.5f

?

[RishadanPort]

Nevermind. The problem explains it.