You are given a set of "dominoes". Each domino has two numbers, an upper and a lower number. You are not allowed to turn the domino around. Your task is to find a subset of dominoes (at least one domino) such that the sum of all the upper numbers is the same as the sum of the lower numbers. E.g. if you are given a set of dominoes (1/3, 5/4,4/8 ,3/2), then one subset of dominoes that gives the same upper and lower sum is (1/3,5/4,3/2) since 1+5+3=3+4+2.
So, your warmup game starts below, the set of dominoes is:
find a subset of dominoes that gives the same upper and lower sum.
[quote]find a subset of dominoes (at least one domino)[/quote]
The easiest solution would be to add all the top numbers together for the top number and the bottom numbers together for the bottom number to create one domino that fits the requirement:
@Reboot153 wow, it seems we are at a bad start, and and I am to be blamed for that. Sorry if I sounded pissed, that is because I am but that has absolutely nothing to do with you, I had an annoying day, so you were just an innocent passerby. I sincerely appreciate your interest and I will do my best to clarify the ambiguities in the instructions. But currently I am struggling with how you understand them, so i have a question for you. Did you read the example? Is that one clear?
Ok, ok, [b]now [/b]I get what you're saying. I had my parents take a look at the problem as well and now I understand the instructions. I'll be honest, the way the problem is worded with "set," "subset" and just the way it's said makes it REALLY confusing. As one other person said in the post:
uuh idk wtf youre saying
So, now I get it and the answer is:
10/1, 2/9, 1/3. The top numbers add up to 13 and the bottom numbers add up to 13.
@Reboot153 great, I am glad. Congratulations, there are actually two solutions to this problem if you are interested. But of course, you win this game, and I will send you a small token of appreciation.
I believe that the wording might be confusing, my usual goal audience are mathematicians, so my language might be a bit specific. I will take this into account next time I post a game on SW. Thank you again for your feedback, and thanks to your parents for the help.
Easy, just shift the "top numbers" one section over. The total sum of the numbers on the top remains the same (you didnt change any numbers, just moved them) and the total sum of the numbers on the bottom remains the same (you didnt change them, literally).
[b]But[/b], since the top numbers are now with different bottom numbers, it's a new "set" of dominoes.
Edit: changed the word "numerator" to more clearly explain what I meant.
@Reboot153 there are no "numerators" and no shifting of anything alowed. You are given a set of dominoes, all you can do is tell me the subset which achieves the same upper and lower sum
@sumojumo Now you're making up new rules to fit what you want. You said in the start:
[quote]You are not allowed to turn the domino around.[/quote]
You never said that the numbers couldnt be moved from one point to another. I didnt "turn" anything (flipping the "domino" over), I just moved them sideways.
