Write a small program to solve an interesting perverted Mathematical Olympiad problem.

The question is like this:

There are 6 people who were all born on April 11, and they are all Ox. The product of their ages in a certain year is 17597125. What is the sum of their ages in this year? ?

If you are a math whiz and have figured out a mathematical solution. Please leave your method in the comments below.

If you are a programming expert and come up with a better algorithm than the one below, please leave your method.

If you think about it, but still can’t figure it out. Then take a look at the program below.

class Gusse {
    public static void main(String[] args){
        int sut1=1,sut2=1,sut3=1,sut4=1,sut5=1,sut6=1;
        long mul=0,sum=0;
        for(sut1=1;sut1<=15;sut1++){
            for(int n2=0;n2<=10;n2++){
                sut2=sut1+n2*12;
                for(int n3=0;n3<=10;n3++){
                    sut3=sut1+n3*12;
                    for(int n4=0;n4<=10;n4++){
                        sut4=sut1+n4*12;
                        for(int n5=0;n5<=10;n5++){
                            sut5=sut1+n5*12;
                            for(int n6=0;n6<=10;n6++){
                                sut6=sut1+n6*12;
                               if((mul=sut1*sut2*sut3*sut4*sut5*sut6)==17597125){
                                   System.out.println("sut1="+sut1);
                                    System.out.println("n2="+n2);
                                    System.out.println("n3="+n3);
                                    System.out.println("n4="+n4);
                                    System.out.println("n5="+n5);
                                    System.out.println("n6="+n6);
                                    System.out.println("sum="+(sum=sut1+sut2+sut3+sut4+sut5+sut6));
                                    break;
                                }
                            }
                        }
                    }
                } 
            }
       }
       
    } 
}

Copy the program intact into Notepad, and then run it with java to get the result.

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