public class BruteForceSolutions {

	public static void main(String[] args) {
		//Problem # 1 - TwoDigitNumber
		System.out.println("\n\n##### Problem # 1 #####");
		for(int num = 10; num<100; num++)
		{
			int tens = num/10;
			int ones = num%10;
			if((tens+ones)* 9 == num) System.out.println(num);
		}
		
		//Problem # 2 - PattyAndTerry
		System.out.println("\n\n##### Problem # 2 #####");
		for(int patty = 1; patty< 100; patty++)
		{
			for(int terry = 1; terry < 100; terry++)
			{
				if(patty == terry * 3 && (patty + 10) + (terry + 10)==36) 
					System.out.println("Patty is " + patty + " and Terry is " + terry);
					
			}
		}
		
		//Problem # 3 - ThreeDigitNumber
		System.out.println("\n\n##### Problem # 3 #####");
		for(int num = 100; num<1000; num++)
		{
			int hundreds = num / 100;
			int tens = num / 10 % 10;
			int ones = num % 10;
			if(tens == ones + 5 && hundreds == tens - 8) System.out.println(num);
		}

		//Problem # 4 - NumberProduct
		System.out.println("\n\n##### Problem # 4 #####");
		int product = 1;
		for(int num = 1; num<=12; num++)
			product *= num;
		System.out.println(product);
		
		//Problem # 5 - Grandpa
		System.out.println("\n\n##### Problem # 5 #####");
		for(int youngest = 0; youngest <= 100; youngest++)
		{
			if (youngest + (youngest +2) + (youngest + 4) + (youngest + 6) + (youngest+ 8) == 100)
				System.out.println("Youngest got " + youngest);
		}
		
		//Problem # 6 - ThreeSons
		System.out.println("\n\n##### Problem # 6 #####");
		for(int son1 = 1; son1<=36; son1++)
			for(int son2 = 1; son2<son1; son2++)
				for(int son3 = 1; son3< son2; son3++)
				{
					if(son1-son2>=2 && son1-son2 <=8 && son1-son3>=2 && son1-son3<=8 &&son2-son3>=2 && son2-son3<=8 && son1*son2*son3==36)
						System.out.println("Son 1 is " + son1 + " and son2 is " + son2 + " and son3 is " + son3);
				}
		
		//Problem # 7 - TeacherBoat
		System.out.println("\n\n##### Problem # 7 #####");
		for(int t1 = 1; t1<=60;t1++)
			for(int t2 = 1; t2<=60;t2++)
				for(int t3 = 1; t3<=60;t3++)
					for(int t4 = 1; t4<=60;t4++)
					{
						if(t1==(t2+t3+t4)/2 && t2==(t1+t3+t4)/ 3 && t3 == (t1 +t2+t4)/4 && t1+t2+t3+t4==60)
							System.out.println("Teacher4 paid " + t4);
						
					}
		
		//Problem # 8 - AnimalPurchase
		System.out.println("\n\n##### Problem # 8 #####");
		for(int cows = 1; cows<=100; cows++)
			for(int pigs = 1; pigs<=100; pigs++)
				for(int chickens = 1; chickens<=100; chickens++)
				{
					double amount = cows*10 + pigs*3+chickens *.5;
					if(amount==100 && cows+pigs+chickens ==100)
						System.out.println("cows = " + cows + " and pigs = " + pigs + " and chickens = " + chickens);
				}
		//Problem # 9 - IdenticalSix
		System.out.println("\n\n##### Problem # 9 #####");
		int num =100000;
		int num2 = 2;
		boolean passesTest = false;
		while(passesTest == false)
		{
			num--;
			for( num2 = 2; num2<=9; num2++)
			{
				if((num * num2) % 111111 == 0 ) 
					{
						passesTest = true;
						break;
					}
			}
		}
		System.out.println(num + " * " + num2 + " = " + num*num2 + " and is the largest 5 digit");
		
		//Problem # 10 - DaycareCenter
		System.out.println("\n\n##### Problem # 10 #####");
		for(int children = 1; children < 1000; children++)
		{
			int puppies = children - 20;
			int ants = children * 10;
			int legs = children*2 + puppies*4 + ants*6 + 2;
			if(legs==1440)
			{
				System.out.println("There are " + children +" children and " + puppies + " puppies and " + ants + " ants");
				System.out.println("making " + children * 2 + " + " + puppies * 4 + " + " + ants * 6 + " = " + legs + " legs.");
			
			}
		
		
		}
	}
}