15
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First, Find out the rule from the example,
Then solve the puzzle without computer. The answer must be unique (just 1 valid answer).

Example
enter image description here

Solve This
enter image description here

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13
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Is this it? (Think this is the unique answer)

enter image description here

The rule is

Each set of three (.-. - Two circles at the bottom one at the top inbetween) circles sums to the number at the bottom, and the red dot indicates that two numbers touching it are 1 apart. And obviously only numbers 1-10 are used.

So we have (bold indicates red dot)

10+5+1=16
5+4+7=16 and 5-4=1
1+7+8=16 and 8-7=1
9+4+3=16 and 4-3=1
3+7+6=16 and 7-6=1
6+8+2=16

How I solved this:

There are only two possible set of numbers for the two under 10: 4 and 2 or 5 and 1. First I tried out 4 and 2, found it didn't work, and then tried 5 and 1. I quickly found that the numbers worked. From there it was just trial and error.

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  • $\begingroup$ In the original, why don't 10-6-4 add to 17? Or 3-4-5? That is a group of three circles that doesn't follow your rule. $\endgroup$ – Trenin May 5 '17 at 16:48
  • $\begingroup$ @Trenin because the base of the triangle should be 2 circles. They are both inverted. Note my answer says the triangle format looks like .-. $\endgroup$ – Beastly Gerbil May 5 '17 at 16:50
  • $\begingroup$ Ah... thats what that was. I thought it was some ascii smiley that I wasn't familiar with so I ignored it! Thanks! $\endgroup$ – Trenin May 8 '17 at 11:38
7
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S17 = sum of all circle which is connected to Red dot.
enter image description here

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  • $\begingroup$ Sorry, still wrong. $\endgroup$ – Jamal Senjaya May 5 '17 at 6:45
  • $\begingroup$ @JamalSenjaya :( is rule correct? $\endgroup$ – Niranj Patel May 5 '17 at 6:46
  • $\begingroup$ @JamalSenjaya if the rule is correct (which it seems it is) then there are probably multiple answers $\endgroup$ – Beastly Gerbil May 5 '17 at 6:47
  • $\begingroup$ The answer is unique. $\endgroup$ – Jamal Senjaya May 5 '17 at 6:47
  • $\begingroup$ @JamalSenjaya ah, I think I may have it. Don't know what the red dots are for, but I have a different rule which will probably give a unique answer... $\endgroup$ – Beastly Gerbil May 5 '17 at 6:49

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