// The main function that prints all combinations of size r
// in arr[] of size n. This function mainly uses combinationUtil()
void printCombination(int arr[], int n, int r)
{
// A temporary array to store all combination one by one
int data[r];
// Print all combination using temprary array 'data[]'
combinationUtil(arr, n, r, 0, data, 0);
}
/* arr[] ---> Input Array
n ---> Size of input array
r ---> Size of a combination to be printed
index ---> Current index in data[]
data[] ---> Temporary array to store current combination
i ---> index of current element in arr[] */
void combinationUtil(int arr[], int n, int r, int index, int data[], int i)
{
// Current cobination is ready, print it
if (index == r)
{
for (int j=0; j<r; j++)
printf("%d ",data[j]);
printf("\n");
return;
}
// When no more elements are there to put in data[]
if (i >= n)
return;
// current is included, put next at next location
data[index] = arr[i];
combinationUtil(arr, n, r, index+1, data, i+1);
// current is excluded, replace it with next (Note that
// i+1 is passed, but index is not changed)
combinationUtil(arr, n, r, index, data, i+1);
}
/* arr[] ---> Input Array
data[] ---> Temporary array to store current combination
start & end ---> Staring and Ending indexes in arr[]
index ---> Current index in data[]
r ---> Size of a combination to be printed */
void combinationUtil(int arr[], int data[], int start, int end,
int index, int r)
{
// Current combination is ready to be printed, print it
if (index == r)
{
int j,i;
for (j=0; j<r; j++)
printf("%d ", data[j]);
printf("\n");
return;
}
// replace index with all possible elements. The condition
// "end-i+1 >= r-index" makes sure that including one element
// at index will make a combination with remaining elements
// at remaining positions
int i;
for (i=start; i<=end && end-i+1 >= r-index; i++)
{
data[index] = arr[i];
combinationUtil(arr, data, i+1, end, index+1, r);
}
}
