Making change recursively: How do I modify my algorithm to print all combinations?
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Published on 2010-02-05T19:30:58Z
Indexed on
2010/03/16
13:06 UTC
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I have an algorithm that recursively makes change in the following manner:
public static int makeChange(int amount, int currentCoin) {
//if amount = zero, we are at the bottom of a successful recursion
if (amount == 0){
//return 1 to add this successful solution
return 1;
//check to see if we went too far
}else if(amount < 0){
//don't count this try if we went too far
return 0;
//if we have exhausted our list of coin values
}else if(currentCoin < 0){
return 0;
}else{
int firstWay = makeChange(amount, currentCoin-1);
int secondWay = makeChange(amount - availableCoins[currentCoin], currentCoin);
return firstWay + secondWay;
}
}
However, I'd like to add the capability to store or print each combination as they successfully return. I'm having a bit of a hard time wrapping my head around how to do this. The original algorithm was pretty easy, but now I am frustrated. Any suggestions?
CB
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