#include <iostream>
using namespace std;

int main ()
{
	for  (int n=4; n>=0; n--) { 
	int a1,a2,a3,b1,b2,b3,c3,d3,S;
  cout << "Enter the number of boxes in the first row at a partition> ";
  cin >> a1;

cout << "Enter the number of boxes in the second row at a partition> ";
  cin >> a2;
  cout << "Enter the number of boxes in the third row at a partition> ";
  cin >> a3;
  cout << "Enter the number of boxes in the first row at another partition> ";
  cin >> b1;
  cout << "Enter the number of boxes in the second row at another partition> ";
  cin >> b2;
  cout << "Enter the number of boxes in the third row at another partition> ";
  cin >> b3;
   S=0;
  for (int c1=b1; c1>=0; c1--) {
    for (int c2=b1-c1; c2>=0; c2--) {
  if (a2+c2<=a1) 
  {c3=b1-c1-c2;
  if (a3+c3<=a2)
  {  for (int d2=b2; d2>=0; d2--) {
	  if (a1+c1>=a2+c2+d2)
	  {d3=b2-d2;
	  if (a2+c2>=a3+c3+d3) { if (a2+c2+d2 >= a3+c3+d3+b3)  {if (d2>=b3) 
		  {	if (c1>=d2) { if (c1+c2>=d2+d3) { cout << a1+c1 << a2+c2+d2 << a3+c3+d3+b3 << "  dim=" << (a1+c1+2-a3-c3-d3-b3)*(a1+c1+1-a2-c2-d2)*(a2+c2+d2+1-a3-c3-d3-b3)/2 << "     ";
  S=S+(a1+c1+2-a3-c3-d3-b3)*(a1+c1+1-a2-c2-d2)*(a2+c2+d2+1-a3-c3-d3-b3)/2;}}}}}}}}
  }	 
  }
	  
	 
  }
    cout << "   total  dim=" << S << "                   ";
	}  
  return 0;

}