Little Bobby loves chocolate. He frequently goes to his favorite store, Penny Auntie, to buy them. They are having a promotion at Penny Auntie. If Bobby saves enough wrappers, he can turn them in for a free chocolate.
For example, Bobby has to spend on bars of chocolate that cost each. He can turn in wrappers to receive another bar. Initially, he buys bars and has wrappers after eating them. He turns in of them, leaving him with , for more bars. After eating those two, he has wrappers, turns in leaving him with wrapper and his new bar. Once he eats that one, he has wrappers and turns them in for another bar. After eating that one, he only has wrapper, and his feast ends. Overall, he has eaten bars.
Complete the chocolateFeast function in the editor below. It must return the number of chocolates Bobby can eat after taking full advantage of the promotion.
chocolateFeast has the following parameter(s):
- n: an integer representing Bobby's initial amount of money
- c: an integer representing the cost of a chocolate bar
- m: an integer representing the number of wrappers he can turn in for a free bar
Note: Little Bobby will always turn in his wrappers if he has enough to get a free chocolate.
The first line contains an integer, , denoting the number of test cases to analyze.
Each of the next lines contains three space-separated integers: , , and . They represent money to spend, cost of a chocolate, and the number of wrappers he can turn in for a free chocolate.
For each trip to Penny Auntie, print the total number of chocolates Bobby eats on a new line.
3 10 2 5 12 4 4 6 2 2
6 3 5
Bobby makes the following trips to the store:
- He spends his dollars on chocolates at dollars apiece. He then eats them and exchanges all wrappers to get more. He eats chocolates.
- He spends his dollars on chocolates at dollars apiece. He has wrappers, but needs to trade for his next chocolate. He eats chocolates.
- He spends dollars on chocolates at dollars apiece. He then exchanges of the wrappers for additional piece. Next, he uses his third leftover chocolate wrapper from his initial purchase with the wrapper from his trade-in to do a second trade-in for more piece. At this point he has wrapper left, which is not enough to perform another trade-in. He eats chocolates.
Solution in Python
def chocolateFeast(n, c, m): count = n//c x = count while x>=m: a,b = divmod(x,m) count+=a x = a+b return count for _ in range(int(input())): n,c,m = map(int,input().split()) print(chocolateFeast(n, c, m))