LogiQuest

488. Water Bottles

EasySimulation

You have b full bottles; x empty bottles can be exchanged for one full bottle. Print the maximum number of bottles you can drink.

Input format

One line: b x

Output format

The total drunk.

Example 1

Input

9 3

Output

13

Example 2

Input

15 4

Output

19

Constraints

1 ≤ b ≤ 100 2 ≤ x ≤ 100

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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