I could probably make a quick script to brute force it, but do you only need the solution? And what's it for? It doesn't look like anything meaningful will come out of those equations or those numbers.
EDIT: Unfortunately it's going to get a bit more complicated when you need every single solution. I'll have to withdraw my offer. I'd still be able to make it but it'd take more time than I can spare.
Comment has been collapsed.
but do you only need the solution
What do you mean?
Gothemasticator answered below 1 possible combination for each, so I'll take the first for example, 0+1+3+4=8 is the same for me as 1+0+3+4=8 or 4+1+0+3=8. It's not every single combinations possible but only those with different numbers (it can be 2 differents or all of them).
Comment has been collapsed.
A+B+C+D=8
0+1+3+4=8
A+B+C+D+E=-7
0+1+3+4+(-15)=-7
A+B+C+D+E=-21
(-8)+8+(-12)+12+(-21)=-21
A+B+C+D+E+F=18
(-8)+8+(-12)+12+17+1=18
Is it more difficult than I am making it? That pool of numbers with it's positive-negative pairs makes this easy.
Comment has been collapsed.
Do you need all the permutations?
I mean 0 + 1 + 3 + 4 = 8 and 4 + 3 + 1 + 0 = 8 should differ or not?
Comment has been collapsed.
That's for A + B + C + D = 8.
-27 + -14 + 20 + 29 = 8
-27 + -2 + 8 + 29 = 8
-27 + -2 + 17 + 20 = 8
-27 + 2 + 4 + 29 = 8
-27 + 3 + 12 + 20 = 8
-27 + 4 + 11 + 20 = 8
-21 + -12 + 12 + 29 = 8
-21 + -8 + 8 + 29 = 8
-21 + -8 + 17 + 20 = 8
-21 + -3 + 3 + 29 = 8
-21 + -3 + 12 + 20 = 8
-21 + -3 + 3 + 29 = 8
-21 + -3 + 12 + 20 = 8
-21 + -2 + 2 + 29 = 8
-21 + -2 + 11 + 20 = 8
-21 + 0 + 12 + 17 = 8
-21 + 1 + 8 + 20 = 8
-21 + 1 + 11 + 17 = 8
-21 + 4 + 8 + 17 = 8
-16 + -16 + 11 + 29 = 8
-16 + -8 + 3 + 29 = 8
-16 + -8 + 12 + 20 = 8
-16 + -7 + 2 + 29 = 8
-16 + -7 + 11 + 20 = 8
-16 + -7 + 2 + 29 = 8
-16 + -7 + 11 + 20 = 8
-16 + -3 + -2 + 29 = 8
-16 + -3 + -2 + 29 = 8
-16 + 0 + 4 + 20 = 8
-16 + 1 + 3 + 20 = 8
-16 + 1 + 11 + 12 = 8
-16 + 3 + 4 + 17 = 8
-16 + 4 + 8 + 12 = 8
-16 + -8 + 3 + 29 = 8
-16 + -8 + 12 + 20 = 8
-16 + -7 + 2 + 29 = 8
-16 + -7 + 11 + 20 = 8
-16 + -7 + 2 + 29 = 8
-16 + -7 + 11 + 20 = 8
-16 + -3 + -2 + 29 = 8
-16 + -3 + -2 + 29 = 8
-16 + 0 + 4 + 20 = 8
-16 + 1 + 3 + 20 = 8
-16 + 1 + 11 + 12 = 8
-16 + 3 + 4 + 17 = 8
-16 + 4 + 8 + 12 = 8
-15 + -14 + 8 + 29 = 8
-15 + -14 + 17 + 20 = 8
-15 + -8 + 2 + 29 = 8
-15 + -8 + 11 + 20 = 8
-15 + -7 + 1 + 29 = 8
-15 + -7 + 1 + 29 = 8
-15 + -3 + -3 + 29 = 8
-15 + -2 + 8 + 17 = 8
-15 + 0 + 3 + 20 = 8
-15 + 0 + 11 + 12 = 8
-15 + 1 + 2 + 20 = 8
-15 + 2 + 4 + 17 = 8
-15 + 3 + 8 + 12 = 8
-15 + 4 + 8 + 11 = 8
-15 + -14 + 8 + 29 = 8
-15 + -14 + 17 + 20 = 8
-15 + -8 + 2 + 29 = 8
-15 + -8 + 11 + 20 = 8
-15 + -7 + 1 + 29 = 8
-15 + -7 + 1 + 29 = 8
-15 + -3 + -3 + 29 = 8
-15 + -2 + 8 + 17 = 8
-15 + 0 + 3 + 20 = 8
-15 + 0 + 11 + 12 = 8
-15 + 1 + 2 + 20 = 8
-15 + 2 + 4 + 17 = 8
-15 + 3 + 8 + 12 = 8
-15 + 4 + 8 + 11 = 8
-14 + -8 + 1 + 29 = 8
-14 + -7 + 0 + 29 = 8
-14 + -7 + 12 + 17 = 8
-14 + -7 + 0 + 29 = 8
-14 + -7 + 12 + 17 = 8
-14 + -3 + 8 + 17 = 8
-14 + -3 + 8 + 17 = 8
-14 + -2 + 4 + 20 = 8
-14 + 0 + 2 + 20 = 8
-14 + 1 + 4 + 17 = 8
-14 + 2 + 3 + 17 = 8
-14 + 2 + 8 + 12 = 8
-14 + 3 + 8 + 11 = 8
-12 + -8 + 8 + 20 = 8
-12 + -8 + 11 + 17 = 8
-12 + -7 + -2 + 29 = 8
-12 + -7 + -2 + 29 = 8
-12 + -3 + 3 + 20 = 8
-12 + -3 + 11 + 12 = 8
-12 + -3 + 3 + 20 = 8
-12 + -3 + 11 + 12 = 8
-12 + -2 + 2 + 20 = 8
-12 + 0 + 3 + 17 = 8
-12 + 0 + 8 + 12 = 8
-12 + 1 + 2 + 17 = 8
-12 + 1 + 8 + 11 = 8
-8 + -7 + 3 + 20 = 8
-8 + -7 + 11 + 12 = 8
-8 + -7 + 3 + 20 = 8
-8 + -7 + 11 + 12 = 8
-8 + -3 + 2 + 17 = 8
-8 + -3 + 8 + 11 = 8
-8 + -3 + 2 + 17 = 8
-8 + -3 + 8 + 11 = 8
-8 + -2 + 1 + 17 = 8
-8 + 0 + 4 + 12 = 8
-8 + 1 + 3 + 12 = 8
-8 + 1 + 4 + 11 = 8
-8 + 2 + 3 + 11 = 8
-7 + -7 + 2 + 20 = 8
-7 + -3 + -2 + 20 = 8
-7 + -3 + 1 + 17 = 8
-7 + -3 + -2 + 20 = 8
-7 + -3 + 1 + 17 = 8
-7 + -2 + 0 + 17 = 8
-7 + 0 + 3 + 12 = 8
-7 + 0 + 4 + 11 = 8
-7 + 1 + 2 + 12 = 8
-7 + 1 + 3 + 11 = 8
-7 + 3 + 4 + 8 = 8
-7 + -3 + -2 + 20 = 8
-7 + -3 + 1 + 17 = 8
-7 + -3 + -2 + 20 = 8
-7 + -3 + 1 + 17 = 8
-7 + -2 + 0 + 17 = 8
-7 + 0 + 3 + 12 = 8
-7 + 0 + 4 + 11 = 8
-7 + 1 + 2 + 12 = 8
-7 + 1 + 3 + 11 = 8
-7 + 3 + 4 + 8 = 8
-3 + -3 + 2 + 12 = 8
-3 + -3 + 3 + 11 = 8
-3 + -2 + 1 + 12 = 8
-3 + -2 + 2 + 11 = 8
-3 + 0 + 3 + 8 = 8
-3 + 1 + 2 + 8 = 8
-3 + -2 + 1 + 12 = 8
-3 + -2 + 2 + 11 = 8
-3 + 0 + 3 + 8 = 8
-3 + 1 + 2 + 8 = 8
-2 + 0 + 2 + 8 = 8
0 + 1 + 3 + 4 = 8
Comment has been collapsed.
A + B + C + D + E = -7 -> https://pastebin.com/GspcU5ke
A + B + C + D + E = -21 -> https://pastebin.com/dQ2JdKV0
A + B + C + D + E + F = -18 -> https://pastebin.com/hXzUErmf
Comment has been collapsed.
17,148 Comments - Last post 8 minutes ago by pivotalHarry
384 Comments - Last post 25 minutes ago by GarlicToast
67 Comments - Last post 42 minutes ago by JonathanDoe
15 Comments - Last post 1 hour ago by Fluffster
4 Comments - Last post 1 hour ago by gameboy9725
512 Comments - Last post 1 hour ago by OldPup
211 Comments - Last post 3 hours ago by crocospect
647 Comments - Last post 4 seconds ago by Patxxv
10,838 Comments - Last post 21 seconds ago by EobardThawne
30,535 Comments - Last post 1 minute ago by Yamaraus
150 Comments - Last post 4 minutes ago by Atilex
318 Comments - Last post 10 minutes ago by xXShurraXx
97 Comments - Last post 10 minutes ago by Vin3
1,226 Comments - Last post 17 minutes ago by Kyog
I know nothing about coding and I'm pretty sure this can be easily done with some script or stuff like that.
My problem is that I would like to find all the combinations possible for this:
A+B+C+D=8
A+B+C+D+E= -7
A+B+C+D+E= -21
A+B+C+D+E+F= -18
ABCDEF are numbers from this pool: -27;-21;-16;-16;-15;-15;-14;-12;-8;-7;-7;-3;-3;-2;0;1;2;3;4;8;11;12;17;20;29.
They can be used only once for each equations and the equations are independent. (for example: "0" can be used in the 4 equations but only 1 time in each combination)
I already did by hand the combinations for 4 other equations but it takes hours and I probably missed some of them.
I hope I explained the problem well enough, ask me questions if not, so If anyone can help me with this, that would be awesome!
Edit: the pool of numbers is the same for each time, you can re-use a number in different combination.
Edit2: problem solved, thanks CrafterKolyan!!
Comment has been collapsed.