Four in a Row

Description

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

Input

A positive integer n ( n <2^31 ), each case will be on a separate line.

A zero (0) denotes the end of input.

Output

The phrase “ is not the sum of four consecutive integers.” 

or the phrase “ is the sum of four consecutive integers.”, 

where is the number in question.

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.