You can win three kinds of basketball points, 1 point, 2 points, and 3 points. Given a total score n, print out all the combination to compose n.
Use Dynamic Programming to avoid repetitive computation.
Read full article from Print all combinations of points that can compose a given number | GeeksforGeeks
Use Dynamic Programming to avoid repetitive computation.
void
printCompositions(
int
n,
int
i)
{
/* array must be static as we want to keep track
of values stored in arr[] using current calls of
printCompositions() in function call stack*/
static
int
arr[ARR_SIZE];
if
(n == 0)
{
printArray(arr, i);
}
else
if
(n > 0)
{
int
k;
for
(k = 1; k <= MAX_POINT &&K<=n; k++)
{
arr[i]= k;
printCompositions(n-k, i+1);
}
}
}