Re: Need help, loops...

From:
Fei Liu <fei.liu@gmail.com>
Newsgroups:
comp.lang.c++
Date:
Thu, 22 Apr 2010 13:45:22 -0400
Message-ID:
<hqq1vg$im1$1@speranza.aioe.org>
Victor Bazarov wrote:

Fei Liu wrote:

I am trying to write a program to count dices. The program takes a
single integer 'n' (number of dice), it then outputs between 'n' and
'6*n', what combinations of the n dice result sums to it. Say, n=4,
sum=5, then it outputs 1 1 1 2 5, 1 1 2 1 5, 1 2 1 1 5, 2 1 1 1 5. I
am stuck with a problem, since my program is supposed to accept
arbitrary number of dice, I can't come up with a way to code the
loops. Remember it needs to iterate through arbitrary number of dices.
Here is what I have (compilies/runs/result is wrong for obvious reasons)


I think this is commonly solved using recursion.

V

Good idea, I have a working prototype, it's slow (exponential) but
produces correct answer.

#include <iostream>
#include <vector>
#include <algorithm>
#include <numeric>
#include <iterator>
using namespace std;

typedef vector<unsigned int>::iterator dice_iterator;
typedef vector<unsigned int>::reverse_iterator dice_reverse_iterator;

void add_and_carry(dice_reverse_iterator iter, int position){

     (*iter)++;
     if(*iter == 7 && position != 0){
         add_and_carry(iter+1, position-1);
         *iter = 1;
     }
}

int main(void){

     unsigned int n, i,k;

     while(cin){
         cin >> n;
         string line;
         getline(cin, line);

         unsigned int min=n, max=n*6, sum=0;
         vector<unsigned int> dice(n);
         dice_iterator iter = dice.begin();

         for(i = min; i <= max; i++){
             for(; iter != dice.end(); iter ++)
                 *iter = (i-1)/n+1;
             iter = dice.begin();
             do{

                 sum = accumulate(dice.begin(), dice.end(), 0);
                 if(sum == i) {
                     copy(dice.begin(), dice.end(),
ostream_iterator<unsigned int>(cout, " "));
                     cout << i << ' ' << endl;
                 }
                 add_and_carry(dice.rbegin(), n-1);
             } while(*iter != 7);
         }
     }
     return 0;
}

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