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
prajneya: 2016-12-10 16:55:58

Why do I get a Runtime Error always?

soodan: 2016-12-08 04:55:58

guys use while( scanf("%lld", &n) != EOF){} for this question as we are not given specific testcases got 5 TLE due to this dumb shit..

pramodc: 2016-12-06 13:17:18

my first dp ...!!!!!!! for concept see this video https://www.youtube.com/watch?v=dZ0OS4YUs2A

ashishsb95: 2016-12-01 17:30:45


Last edit: 2016-12-01 17:55:32
ashishsb95: 2016-12-01 17:25:48

#15

absur_siam: 2016-11-28 13:34:47

Must use long long . Costed me a WA.

aman224: 2016-11-14 11:58:01

too easy....

Last edit: 2016-11-25 20:59:53
venky1001: 2016-11-10 23:37:33

TLE with the approach of recursion
some1....plss help...
thanxx in advance :)

shubham2305: 2016-11-10 07:03:58

use map and unsigned long int
AC in 1 GO

s_jindal00: 2016-11-09 16:29:03

Got TLE in first attempt but second time I precomputed some data upto 5000 and hardcoded in array. AC in 0.08!!!!

Last edit: 2016-11-09 16:29:24

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 PERL 6 VB.net
Resource:Purdue Programming Contest Training