C++ Algorithmn

Posted on 2004-10-22
Last Modified: 2012-05-05
Hi People, I need your help,

I would like to know where to find documentation on c++ Algorithm. For exemple, how many ways can I represent a 5 dollar bill if I have loonies, quarters, dimes and nickles ?

Documentation would be greatly appreciated.

Thank You,

Question by:C-begin
    LVL 3

    Assisted Solution

    There are many places to find various C++ algorithms. is a great place. You can find the C++ algorithms page from their home page, or just follow this link:

    They also have a lot of sample programs and non-algorithm specific solutions for a wide variety of problems. is a great palce that deals mostly with MFCs. Their algorithm section is located at

    MSDN is another good place to find algorithms and samples. If you don't have it installed on your computer, you can go to their website at Typing "algorithms" into their search page will bring up quite a few of them. You can of course be more specific in your searches.

    Finally, try google. If you know the general type of algorithm you want, you can find it that way.
    LVL 9

    Accepted Solution

    read the comments before count_combos function.

      File: change.cpp
      Date: 08.13.2003
      Author: Jaydutt Shukla
      Purpose: This program asks for amount of money (in cents) and outputs the number of
      ways in which change can be given back for amounts <= MAX

    #include <iostream>
    #include <iomanip>
    using namespace std;

    const int MAX=2000; //will calculate # of combos only if amount <= MAX. requires very deep recursion

    const int denoms[]={1, 5, 10, 25, 50, 100, 200, 500, 1000, 2000, 5000, 10000}; //const array for denominations

    unsigned long  count_combos(int, int=0);

    int main(){
        int cents=0, copy=0;
        cout << "Enter amount in cents: ";
        cin >> cents;
        copy = cents;
        if(cents <= MAX){
          cout << "Most efficient change is: \n";
          if(cents ==0){
              cout << "0 x $   0.00" << endl;
              cout << "Change can be given in " << count_combos(copy) << " different ways" << endl;
              return 0;
          for(int i=11; i>=0; i--){
                cout << cents/denoms[i] << " x " << "$ "
                     << setprecision(2) << setiosflags(ios::fixed) << setw(6)
                     << denoms[i]/100.0 << endl;
              cents %= denoms[i];
          cout << "Change can be given in " << count_combos(copy) << " different way(s)" << endl;
          cout << "Amount exceeds the limit." << endl;
        return 0;

     Recursive function:
     Start with pennies and denom d
     counter = 1;
     Determine how many d's do you want. range = [0, amount/d). use a for loop
       recurse with remaining pennies and next higher denomination
       Add this number to counter
       Increment # of d's

     ... and there are stopping conditions.
    /* After you understand the working of this fcn:
       to extend this fcn for higher denominations append those to the const array denoms;
       change MAX to the max amount you want
    unsigned long count_combos(int amount, int d){ //d == index into denoms array
        unsigned long count = 1;
        if(amount > MAX) return 1;   //do not exceed MAX denomination
        if(amount == 0) return 1;
        if(denoms[d] > amount) //Example: there is no way you can give out 1 cent using nickels
          return 0;
        /* The only problem occurs when starting amount == 0
           should the answer be 0 or 1? I chose 1. see previous line */
        for(int i=0; i<amount; i += denoms[d+1])
          count += count_combos(amount - i, d + 1);
        return count;

    Author Comment

    hey guys thank you very much,

    I will try to read a bit more, for do I split the points ?

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