# PROBLEM LINK:

* Author:* Yash Shah

*Roshan Gupta, Shivam Sarang, Hrishikesh Patel*

**Tester:***Yash Shah*

**Editorialist:**# DIFFICULTY:

EASY-MEDIUM

# PROBLEM:

There is a country where integer N is written on coin. A coin with

integer N on it can be exchanged in a bank into three coins: N/2, N/3

and N/4. But these numbers are all rounded down (the banks have to

make a profit).

You can also sell coins for American Dollars. The exchange rate is

1:1. But you cannot buy coins through American Dollars.

You have one coinwhich has N written on it. What is the maximum

amount of American dollars you can get for it?

Note: You are not provided with total number of test cases. The first

line itself is N.

# Input Format:

- The input will contain several test cases.
- Each testcase is a single line with a number N. It is the number

written on your coin.

# Output Format:

- For each test case output a single line, containing the maximum

amount of American dollars you can make.

# EXPLANATION:

Sample Test Case:

Input:

12

2

Output:

13

2

- Test Case 1: You can change 12 into 6, 4 and 3, and then change

these into 6+6+4+3=3=13. - Test Case 2: If you try changing the coin 2 into 3 smaller coins,

you will get 1, 0 and 0, and later you can get no more than 1 out of

them. It is better just to change the 2 coin directly into 2.

# SOLUTIONS:

## Setter's Solution

```
while True:
try:
n = int(input())
lst = [int(n / i) for i in [2, 3, 4]]
print(max(n, sum(lst)))
except:
break
```