Suppose we can buy chocolate bars from the vending machine for $1 each. Inside every chocolate bar is a coupon. We can redeem 7 coupons for 1 chocolate bar from the machine. We would like to know how many chocolate bars can be eaten, including those redeemed via coupon, if we have n dollars.
For example, if we have $20, then we can initially buy 20 chocolate bars. This gives us 20 coupons. We can redeem 14 coupons for 2 additional chocolate bars. These two additional chocolate bars have 2 more coupons, so we now have a total of 8 coupons when added to the 6 left over from the original purchase. This gives us enough to redeem for 1 final chocolate bar. As a result we now have 23 chocolate bars and 2 leftover coupons.
Write a recursive solution to this problem that inputs from the user the number of dollars to spend on chocolate bars and outputs how many chocolate bars you can collect after spending all your money and redeeming as many coupons as possible. Your recursive function will be based upon the number of coupons owned.
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