COINS - Bytelandian gold coins


In Byteland they have a very strange monetary system.

Each Bytelandian gold coin has an integer number written on it. A coin n 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 Bytelandian coins for American dollars. The exchange rate is 1:1. But you can not buy Bytelandian coins.

You have one gold coin. What is the maximum amount of American dollars you can get for it?

Input

The input will contain several test cases (not more than 10). Each testcase is a single line with a number n, 0 <= n <= 1 000 000 000. It is the number written on your coin.

Output

For each test case output a single line, containing the maximum amount of American dollars you can make.

Example

Input:
12
2

Output:
13
2

You can change 12 into 6, 4 and 3, and then change these into $6+$4+$3 = $13. 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.


hide comments
stevebobs: 2020-10-21 00:04:12

-got AC from 2nd attempt. Use long instead of int for end result. Cheers!

Last edit: 2020-10-21 00:10:13
coder582: 2020-10-06 07:40:00

n is BIG

wille_25: 2020-10-01 21:40:30

finally got AC in 3 attempt, recursive + dp that's it ...be careful while taking input cost me WA ..in cpp take i/p like this
int n ; while(cin>>n){ code.......} !

abhishen99: 2020-09-21 18:24:36

dont getting problem - see this -''can be exchanged '', and you will get the choices to choose from.

ashish_sinha5: 2020-09-13 21:02:27

How to take input for python

lakshya1st: 2020-09-01 18:53:49

AC in one go!!

aditigedam: 2020-08-27 12:45:12

don't forget that n is very very big.

singhar: 2020-08-22 13:07:14

no use of dp here just use recursion only,your answer will be accepted.Yes of course you can use dp to reduce the time complexity.

Ritesh: 2020-08-05 07:56:59

Check out Screencast Tutorial for this problem: https://youtu.be/KW6eI-4ODRs

Last edit: 2020-08-05 07:57:43
hemanth_ds: 2020-08-04 13:12:38

Last edit: 2020-08-04 13:15:10

Added by:Tomek Czajka
Date:2005-05-03
Time limit:9s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET
Resource:Purdue Programming Contest Training