# Find out the rule, then solve it

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

Example

Solve This

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

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.

• 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. May 5, 2017 at 16:48
• @Trenin because the base of the triangle should be 2 circles. They are both inverted. Note my answer says the triangle format looks like .-. May 5, 2017 at 16:50
• Ah... thats what that was. I thought it was some ascii smiley that I wasn't familiar with so I ignored it! Thanks! May 8, 2017 at 11:38

S17 = sum of all circle which is connected to Red dot.

• Sorry, still wrong. May 5, 2017 at 6:45
• @JamalSenjaya :( is rule correct? May 5, 2017 at 6:46
• @JamalSenjaya if the rule is correct (which it seems it is) then there are probably multiple answers May 5, 2017 at 6:47
• The answer is unique. May 5, 2017 at 6:47
• @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... May 5, 2017 at 6:49