package Maths;
/**
* Amicable numbers are two different numbers so related that the sum of the proper divisors of each
* is equal to the other number. (A proper divisor of a number is a positive factor of that number
* other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.) A pair of
* amicable numbers constitutes an aliquot sequence of period 2. It is unknown if there are
* infinitely many pairs of amicable numbers. *
*
* * link: https://en.wikipedia.org/wiki/Amicable_numbers *
*
*
Simple Example : (220,284) 220 is divisible by {1,2,4,5,10,11,20,22,44,55,110 } 1,2,4,71,142 and the Sum of that is. Yes right you probably expected it
* 220
*/
public class AmicableNumber {
public static void main(String[] args) {
AmicableNumber.findAllInRange(1, 3000);
/* Res -> Int Range of 1 till 3000there are 3Amicable_numbers These are 1: = ( 220,284) 2: = ( 1184,1210)
3: = ( 2620,2924) So it worked */
}
/**
* @param startValue
* @param stopValue
* @return
*/
static void findAllInRange(int startValue, int stopValue) {
/* the 2 for loops are to avoid to double check tuple. For example (200,100) and (100,200) is the same calculation
* also to avoid is to check the number with it self. a number with itself is always a AmicableNumber
* */
StringBuilder res = new StringBuilder();
int countofRes = 0;
for (int i = startValue; i < stopValue; i++) {
for (int j = i + 1; j