24Guru User's Guide
11. Adjusting UI Layout, Background Image
or Background Music Contents A.2 Accelerator Keys
Appendix
A.1
Irrelevant Solutions
.
When you check for answers of a question, 24Guru will provide all
irrelevant solutions under current rules for this question.
.
Where you check the complete list of all solutions, 24Guru will provide
all irrelevant solutions for all questions under specified rules.
. In a World Cup game, or in training or training game while current Difficulty Level is higher than "Beginner", you are required to submit 2 or more irrelevant answers for questions with more than 1 answer.
Similar
Solutions and Same Solutions
Similar
Solutions Accepted by 24Guru
Similar
Solutions and Same Solutions
There
may be many solutions for one question. Some of them are same as or similar to some other. Only irrelevant solutions are meaningful.
Following 4 rules are involved in defining irrelevant solutions by 24Guru. First three 1-related rules define similar solutions, the fourth defines same solutions.
Irrelevant solutions are valid solutions of the same question that are not
similar to or same as each other. If several solutions are same or similar solutions, 24Guru only provides solutions of the simplest/most common
form, which is listed as "Recommended Form" below. Though 24Guru can recognize correct solutions of any form, to avoid possible errors
in submitting multiple answers which are same as or similar to each other, you are
recommended to submit only suggested form of answers in training or games.
a) Similar Solution 1 - Calculation in any one of the 3 rounds is n*1, n/1, n^1(advanced rule), n^^1(advanced
rule)
Results for all the 4 are n. Though
there may be argument that they are different theoretically, they are at least similar, and CANNOT be accepted by 24Guru as irrelevant
answers.
Recommended
Form: only submit answers containing n*1, but not n/1, or n^1, or n^^1.
Ex:
2*3*4/1 = 2*3*4^1
= 2*3*4^^1 = 1*2*3*4
For the same reason as above, if an expression (exp) evaluates to 1, then solutions containing *(exp), /(exp), ^(exp) and ^^(exp) are similar
solutions.
Recommended
Form: if an expression (exp) evaluates to 1, only submit solutions containing *(exp), but not /(exp), or ^(exp), or ^^(exp).
Ex:
2/(2-1)*12 =
2^(2-1)*12 = 2^^(2-1)*12 = 2*(2-1)*12
b) Similar Solution
2 - 3 of the 4 numbers can make 24, and the other one is 1
This is in fact the extension of the general situation of the above rule. It should be 2 rounds for the 3 numbers to make 24. In such a case, the extra 1
can be eliminated by multiplying it with any number (original number or result
number) at any of the 3 rounds.
Recommended
Form: submit solutions where 1 multiplies the resulted 24 after it was created in previous rounds.
Ex:
1*5+7+12 = 1+1*7+12 = 1+7+1*12
= 1*(5+7)+12 = 5+1*(7+12) = 12+1*(5+7) = 1*(5+7+12)
For the same reason as above, if 2 numbers make 24, other 2 make 1, the 3
solutions created by multiplying the expression resulting in 1 with any of the former 2 numbers before they make
24, or multiplying it with the resulted 24 are similar solutions.
Recommended
Form: submit solutions where 1 multiplies the resulted 24 after it was created in previous rounds.
Ex
11*(4-3)+13 = 11+13*(4-3)
= (11+13)*(4-3)
c) Similar Solution 3 - Calculation in any one of the 3 rounds is 1^(any expression)
or 1^^(any expression)
Results for the 2 form are both 1. No actual new solutions can be created if
other parts are same or similar.
Recommended
Form: submit solutions containing 1^(any expression), but not 1^^(any expression)
Ex:
3*(7+1^^9) = 3*(7+1^9)
d) Same Solution
- Solutions which can be derived through algebraic procedure from each other are same
solutions
Recommended Form: there are many different forms of same solutions.
Please only submit solutions of the simplest/most common form based on specific
situation.
Ex1: n2+n1+n3+n4 =n3+n1+n4+n2 = ... = n1+n2+n3+n4
Ex2: n2*n1*n3*n4 =n3*n1*n4*n2 = ((n1*n2)*(n3*n4)) = ... = n1*n2*n3*n4
Ex3: (n2+n1)/n3/n4 = (n2+n1)/(n3*n4) = ... = (n1+n2)/n3/n4
Ex4 (part): n1^n2^n3 = (n1^n2)^n3 = n1^(n2*n3)
Ex5: (8-12)^2+8 = (12-8)^2+8 (this case can be seems as similar solution under
strict analysis)
Similar
Solutions Accepted by 24Guru
Except
for the 3 obvious similar solutions above, there are still 2 kinds of
similar solutions where new solutions can be found from solutions
already known. These similar solutions are not as obvious as the 4 kinds above,
to avoid unnecessary arguments, 24Guru accepts these "similar
solutions" as irrelevant solutions. If you meet them in a 24 game, or just
play it with your friends, you can decide according to the rule in your game
whether you should submit them as different solutions. If there is no clear
description, we suggest you seem them as the same solutions.
1)
2 numbers make 24, other 2 are just same
This is a special case of the second form of Similar Solution 2. It's described separately here
because it provides more similar
solutions:
a) Eliminate the 2 same numbers by any complementary operations (+n, -n), (*n,
/n), (^n, ^^n) with either of the other 2 numbers.
b) After the other 2 make 24 in the first round, eliminate the 2 numbers by
complementary operations.
Ex - 4,6,7,7:
-> (4+7-7)*6
-> (4*7/7)*6
-> (4^7^^7)*6 (= 4^(7/7)*6 similar to 4*(7/7)*6)
-> 4*(6+7-7)
-> 4*(6*7/7) (same as (4*7/7)*6)
-> 4*(6^7^^7)(->4*6^(7/7))->4*6*(7/7)->(4*7/7)*6) -> 4*6+7-7 -> 4*6*7/7 (same
as (4*7/7)*6)
-> 4*6^7^^7(= 4*6^(7/7) similar to (4*7/7)*6)
2)
Result of some operation on 2 numbers is same as one of another number, and
the 3 (the result, the one same as the result, and the other) make 24
The operation to make the result same as another number can exchange its place
with that same number to make a pair of valid solutions:
Ex - 4,7,5,9:
-> 4*7-(9-5)
-> (9-5)*7-4
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