Converting recursive algorithm to an iterative version

From:
Ania <anka.stepien@gmail.com>
Newsgroups:
comp.lang.c++
Date:
Wed, 7 Dec 2011 15:48:47 -0800 (PST)
Message-ID:
<618ba19e-c74f-4fcd-a16a-a6542270c73d@j10g2000vbe.googlegroups.com>
Hi,

Here is my problem:
I implemented recurive algorithm in c++ for a problem given below:

I have a list of items (only positive integers are allowed) and fixed
number of bins of identical capacity. I need to pack items (if
possible) so that elements in each bin sum up to given capacity.

I try to convert my recursive algorithm to an one. However, my
implementation with explicit stack doesn't work as I expected. I can't
pinpoint the place where I have made a mistake.

//items are sorted in decreasing order

Recursive:
bool backtrack(vector<int>& items, vector<Bin>& bins, unsigned
index,unsigned bin_capacity)
{
    if (bin_capacity - items.front() < 0) return false;

    if (index < items.size())
    {
        //try to put an item into all opened bins
        for(unsigned i = 0; i < bins.size(); ++i)
        {
            if (bins[i].sum() + items[index] + items.back() <=
bin_capacity || bin_capacity - bins[i].sum() == items[index])
            {
                bins[i].add(items[index]);
                return backtrack(items, bins, index + 1,
bin_capacity);

            }
        }
        //put an item without exceeding maximum number of bins
        if (bins.size() < BINS)
        {
            Bin new_bin = Bin();
            bins.push_back(new_bin);
            bins.back().add(items[index]);

            return backtrack(items, bins, index + 1, bin_capacity);

        }
    }
    else
    {
        //check if solution has been found
        if (bins.size() == BINS )
        {
            for (unsigned i = 0; i <bins.size(); ++i)
            {
                packed_items.push_back(bins[i]);
            }

            return true;
        }
    }
    return false;

}

Iterative( not working properly)
bool backtrack(vector<int>& items, vector<Bin>& bins, unsigned index,
unsigned bin_capacity)
{
      stack<Node> stack;
      Node node, child_node;
      Bin new_bin;
      //init the stack
      node.bins.add(new_bin);
      node.bins.back().add(items[item_index]);
      stack.push(node);
      item_index++;

      while(!stack.empty())
      {
        node = stack.top();
        stack.pop();

        if (item_index < items.size())
        {
            if (node.bins.size() < BINS)
            {
               child_node = node;
               Bin empty;
               child_node.bins.add(empty);
               child_node.bins.back().add(items[item_index]);
               stack.push(child_node);
            }

            int last_index = node.bins.size() - 1;
            for (unsigned i = 0; i <= last_index; i++)
            {
                if (node.bins[last_index - i]->get_sum()
+items[item_index]+ items.back( <=bin_capacity || bin_capacity -
node.bins[last_index - i]->get_sum() ==items[item_index])
               {
                   child_node = node;
                   child_node.bins[last_index - i]-

push_back(items[item_index]);


                   stack.push(child_node);
                }
            }
            item_index++;
            }
        else
        {
           if (node.bins() == BINS)
           {
               //copy solution
               bins = node.bins;
               return true;
           }
       }
   }
    return false;

}

Any help would be highly appreciated.

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