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Problem ID: deficient-perfect-and-abundant

Time Limit: 1.0 seconds

Memory Limit: 32.0 MB

Difficulty: Medium

Deficient, Perfect, and Abundant

Description

Write a program that repeatedly reads a positive integer, determines if the integer is deficient, perfect, or abundant, and outputs the number along with its classification.

Input format

A positive integer, n, is said to be perfect if the sum of its proper divisors equals the number itself. (Proper divisors include 1 but not the number itself.) If this sum is less that n, the number is deficient, and if the sum is greater than n, the number is abundant.

Output format

The input starts with the number of integers that follow. For each of the following integers, your program should output the classification, as given below. You may assume that the input integers are greater than 1 and less than 32500.