Four in a Row

input file: four.in

Given a positive integer, tell whether it is equal to the sum of four consecutive integers.

Input

A positive integer, each case will be on a separate line. A zero (0) denotes the end of input.

Output

The phrase "<number> is not the sum of four consecutive integers," or the phrase "<number> is the sum of four consecutive integers," where <number> is the number in question. For example, 2 is the sum of four consecutive integers, 2 = -1 + 0 + 1 + 2, whereas 41 is not.

Sample Input

2
5
41
82
0

Sample Output

2 is the sum of four consecutive integers.
5 is not the sum of four consecutive integers.
41 is not the sum of four consecutive integers.
82 is the sum of four consecutive integers.