### Brain Teasers

# Perfect Pyramid 2

Arrange the numbers 1 through 15 in the shape of a pyramid (1 number at the peak, 2 numbers in the second row down, 3 in the next row down, 4 in the next row, and 5 in the bottom row). The numbers must be arranged such that each number is equal to the difference of the two numbers directly below it. For example, if 6 and 13 are next to each other in the same row, then 7 must be placed on top of them.

To demonstrate, a three-level pyramid using the numbers 1 through 6 could be arranged as follows:

top row: 2

second row: 5 3

bottom row: 6 1 4

To demonstrate, a three-level pyramid using the numbers 1 through 6 could be arranged as follows:

top row: 2

second row: 5 3

bottom row: 6 1 4

### Answer

top row: 5second row: 9 4

third row: 2 11 7

fourth row: 10 12 1 8

bottom row: 13 3 15 14 6

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