Below we will define an n
-interesting polygon. Your task is to find the area of a
polygon for a given n
.
A 1
-interesting polygon is just a square with a side of length 1
. An n
-interesting
polygon is obtained by taking the n - 1
-interesting polygon and appending
1
-interesting polygons to its rim, side by side. You can see the 1
-, 2
-, 3
-
and 4
-interesting polygons in the picture below.
Example
- For
n = 2
, the output should be
shapeArea(n) = 5
; - For
n = 3
, the output should be
shapeArea(n) = 13
.
Input/Output
-
[execution time limit] 4 seconds (js)
-
[input] integer n
Guaranteed constraints:
1 ≤ n < 104
. -
[output] integer
- The area of the
n
-interesting polygon.
- The area of the
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