# DCP-135: Abundant Number Back to All Problems

Easy Math > Basic Math

A number is 'abundant' if the sum of its proper divisors exceed the number. For example: 12 is an abundant number because sum of its proper divisors 1, 2, 3, 4 and 6 is 16 which is greater than 12. Abundance of 12 is 4 because 16-12=4. You will be given set(s) of distinct numbers and your task is to find the most abundant number and its abundance in each set. If two or more numbers have same abundance print the smallest of them. If no number is abundant then print -1. Input: ------ T (1<=T<=20), denoting the number of test cases. Each case contains an integer N (1 ≤ N ≤ 1000) denoting the size of the set. The next line will contain N integers separated by spaces, denoting the elements of the set. No integer will be less than 1 or greater than 10^5. Output: ------- For each test case having at least one abundant number the output should be in new line having two spaced numbers denoting the most abundant number and its abundance. If two or more numbers have same abundance print the smallest of them and its abundance. If there is no abundant number the output should be -1. Sample Input ------------ 1 2 12 6 Sample Output ------------- 12 4

### Problem Limits

 Language Time Limit (seconds) C 6.00 C++ 6.00 C++14 6.00 C# 9.00 Go 9.00 Java 9.00 JavaScript 9.00 Objective-C 9.00 Perl 9.00 PHP 9.00 Python 9.00 Python3 9.00 Ruby 9.00 VB.Net 9.00

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