Number triangle

Posted By: CanukDenis

Number triangle - 11/10/12 10:43 PM

Code:

    A
   B C
  D E F
 G H I J
K L M N O

Each letter value (A to J) is the absolute difference of the 2 values below it.

Example: if K = 9 and L = 5, then G = K - L = 9 - 5 = -4 = 4
(absolute value means disregard minus sign)

Replace each letter with the integers 1 to 15. No repeats!

Posted By: CanukDenis

Re: Number triangle - 11/12/12 04:46 AM

Hint: A = 5 (15 has to be in bottom row, of course!)

Posted By: CCbomber

Re: Number triangle - 11/13/12 12:46 AM

Code:

    A                   5
   B C                9   4          
  D E F             2   11  7
 G H I J          10  12   1  8
K L M N O       13  3   15  14  6

Reflection also works. Haven't looked for other solutions.

Posted By: CanukDenis

Re: Number triangle - 11/13/12 01:50 AM

Right. 99.9% sure there's no other solution.