import java.util.ArrayList;
import java.util.LinkedList;
import java.util.List;
/**
* Print all the Combinations of Change for a given Amount
*/
class CoinChangeCombinations {
private static List<Integer> coins;
private static int count=0;
/**
* Initialising the Coing Denominations
*/
private static void init() {
coins = new ArrayList<Integer>();
coins.add(1);
coins.add(2);
coins.add(3);
coins.add(5);
coins.add(10);
coins.add(50);
}
/**
* Prints all comninations of the coin change
*/
public static void coinCombinations(int amount,int index,LinkedList<Integer> list)
{
if(amount==0)
{
count++;
System.
out.
println(list.
toString()); return ;
}
if(amount < 0)
return ;
for(int i=index ; i < coins.size();i++)
{
int coin = coins.get(i);
if(amount >= coin)
{
list.add(coin);
coinCombinations(amount - coin ,i,list );
list.removeLast();
}
}
}
public static void main
(String[] args
) { int amount = 5;
init();
coinCombinations(amount,0,new LinkedList<Integer>());
System.
out.
println("Number of Combinations :" + count
); }
}
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[1, 1, 1, 1, 1]
[1, 1, 1, 2]
[1, 1, 3]
[1, 2, 2]
[2, 3]
[5]
Number of Combinations :6