# Answer to Question #50007 in C for soumya

Question #50007

You have a block of platinum that can be exchanged in your bank either for cash

or for smaller blocks of platinum. If you exchange a block of m grams, you get

three blocks of weight m/2, m/3 and m/4 grams each. You don't get any fractional

part, as the division process rounds down the value. If you exchange the block of

platinum for cash, you get m units of currency. You can do any number of

exchanges for smaller blocks or currency.Given the value of a block in grams as input, write a program that would print the largest possible currency value that you can receive as the output. Assume that

the maximum value of a block that can be given as an input is 1,000,000,000

grams and the minimum value is 2 grams.

or for smaller blocks of platinum. If you exchange a block of m grams, you get

three blocks of weight m/2, m/3 and m/4 grams each. You don't get any fractional

part, as the division process rounds down the value. If you exchange the block of

platinum for cash, you get m units of currency. You can do any number of

exchanges for smaller blocks or currency.Given the value of a block in grams as input, write a program that would print the largest possible currency value that you can receive as the output. Assume that

the maximum value of a block that can be given as an input is 1,000,000,000

grams and the minimum value is 2 grams.

Expert's answer

__Program__

__ __**#include <iostream>**

**#define MIN_SIZE 2**

** **

**using namespace std;**

** **

**//cost of pieces size m**

**//calc recursive**

**double cost(int m)**

**{**

** //bottom of recursion - minimal size less MIN_SIZE**

** //i.e. m~m/2+m/3+m/4; m/4<2 or m<8**

** if(m<8)**

** return m;**

** else**

** {**

** //check: is round of dividing less pieces?**

** if((m/2+m/3+m/4)<m)**

** return m;**

** else**

** return cost(m/2)+cost(m/3)+cost(m/4);**

** }**

**}**

**int main( )**

**{**

**int m;**

**cout<<"Input weight block ofplatinum (g): ";**

**cin>>m;**

**cout<<"\nYou can receive currencyvalue: "<<cost(m)<<endl;**

**return 0;**

**}**

** **

__Example of execute program:__**Input weight block of platinum (g): 24**

**You can receive currency value: 27**

** **

**Input weight block of platinum (g): 10**

**You can receive currency value: 10**

``

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