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
cypher_007: 2019-02-14 16:38:50

Last edit: 2019-02-14 16:54:11
run4glory: 2019-01-17 21:10:05

I dont get it, how can I know how many test cases there are and when my loop has to stop? I'm solving my first problem here

ausr: 2019-01-15 23:14:13

from collections import defaultdict

indsonu: 2019-01-09 11:59:35

hey i m new to this site can sb tell what is AC?

suraj_13: 2019-01-04 14:06:25

It's advisable to use dynamic array.
After submitting the solution I checked the time limit is 9s, i think it may (but not sure since constraints are not given) pass without memoization/ DP.

yogesh_n: 2019-01-04 10:37:29

I submitted solution , but it is showing wrong answer but not showing what is wrong . But in visual studio IDE , it is working fine . Can somebody help me .

chotukv: 2018-12-28 11:09:04

How the input ends?

ankitpriyarup: 2018-12-23 12:12:52

Costed me 3 TLE because of silly mistake XD

rishb27: 2018-12-19 08:13:29

Recursion works as height is function log N not N because we are dividing input each time by 2,3,4..

chinmay_sharma: 2018-12-08 12:49:09

how many test cases is required ?


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