#Hexagonal shape

##Title Description

Provide the length of the six sides of a hexagon with all six interior angles being $120 ^ {\ circle}$in clockwise order, and calculate the number of equilateral triangles with all three sides being $1$that the hexagon is divided into.

Ensure that the hexagon can be divided into several equilateral triangles with side lengths all equal to $1.

1 1 1 1 1 1

six

1 2 1 2 1 2

thirteen

3 4 2 6 1 5

sixty-seven

##Data Range Assuming the side length is $a_1... a_n$, for all data, $1 \ le a_i \ le 1000$

##Reminder

Example 1:

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Example 2:

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Example 3:

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