Write a recursive function named diceSum
that accepts two parameters: an integer representing a number of 6-sided dice to roll, and a desired sum, and output all possible combinations of values that could appear on the dice that would add up to exactly the given sum.
For example, the call of diceSum(3, 7);
should print all combinations of rolls of 3 dice that add up to 7:
{1, 1, 5}
{1, 2, 4}
{1, 3, 3}
{1, 4, 2}
{1, 5, 1}
{2, 1, 4}
{2, 2, 3}
{2, 3, 2}
{2, 4, 1}
{3, 1, 3}
{3, 2, 2}
{3, 3, 1}
{4, 1, 2}
{4, 2, 1}
{5, 1, 1}
If the number of digits passed is 0 or negative, or if the given number of dice cannot add up to exactly the given sum, print no output.
Your function must use recursion, but you can use a single for
loop if necessary.