HackerRank: Chocolate Feast

Problem

Little Bob loves chocolate, and he goes to a store with $N$N in his pocket. The price of each chocolate is $C$C. The store offers a discount: for every MM wrappers he gives to the store, he gets one chocolate for free. How many chocolates does Bob get to eat?

Input Format:
The first line contains the number of test cases, TT.
TT lines follow, each of which contains three integers, NN, CC, and MM.

Output Format:
Print the total number of chocolates Bob eats.

Constraints:
1T10001≤T≤1000
2N1052≤N≤105
1CN1≤C≤N
2MN2≤M≤N

Sample input

3
10 2 5
12 4 4
6 2 2

Sample Output

6
3
5

Explanation
In the first case, he can buy 5 chocolates with $10 and exchange the 5 wrappers to get one more chocolate. Thus, the total number of chocolates is 6.

In the second case, he can buy 3 chocolates for $12. However, it takes 4 wrappers to get one more chocolate. He can’t avail the offer and hence the total number of chocolates remains 3.

In the third case, he can buy 3 chocolates for $6. Now he can exchange 2 of the 3 wrappers and get 1 additional piece of chocolate. Now he can use his 1 unused wrapper and the 1 wrapper of the new piece of chocolate to get one more piece of chocolate. So the total is 5.

Solution

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