Goldman Sachs Interview Question for Associates


Country: India
Interview Type: Phone Interview




Comment hidden because of low score. Click to expand.
2
of 2 vote

Solved this and seems to be working:

import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.util.ArrayList;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.LinkedList;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;

/** Algorithm to minimize number of trassaction.
 * Eg:
 * A->B = Rs. 5
 * B->C = Rs. 8
 * C->D = Rs. 9
 * A->D = Rs. 10
 * D->B = Rs. 11
 * C->A = Rs. 12
 * =================
 * A->B = 5 */

class Transaction {

    private static File sFile;
    private static String[][] sInput;
    private static HashMap<String, Integer> sTransaction;
    private static ArrayList<String> sOutPlayer;
    private static ArrayList<Integer> sOutPlayerData;
    private static ArrayList<String[]> sResult;

    private static void parseTransaction() {
        sTransaction = new HashMap<String, Integer>();
        try {
            @SuppressWarnings("resource")
            BufferedReader br = new BufferedReader(new FileReader(sFile));
            String line = br.readLine();
            int i = 0;
            while (line != null && i < sInput.length) {
                String[] temp = line.split(" ");
                sInput[i][0] = temp[0];
                sInput[i][1] = temp[1];
                sInput[i][2] = temp[2];
                i++;
                line = br.readLine();
            }
        } catch (FileNotFoundException e) {
            // TODO Auto-generated catch block
            e.printStackTrace();
        } catch (IOException e) {
            // TODO Auto-generated catch block
            e.printStackTrace();
        }
    }

    private static void getAllPlayer() {
        for (int i = 0; i < sInput.length; i++) {
            sTransaction.put(sInput[i][0], 0);
            sTransaction.put(sInput[i][1], 0);
        }
    }

    private static void getManipulatedTransactionData() {
        for (int i = 0; i < sInput.length; i++) {
            int val = Integer.parseInt(sInput[i][2]);
            sTransaction.put(sInput[i][0], sTransaction.get(sInput[i][0]) - val);
            sTransaction.put(sInput[i][1], sTransaction.get(sInput[i][1]) + val);
        }
    }

    private static void sortByValue() {
        List<Map.Entry<String, Integer>> entries = new LinkedList<Map.Entry<String, Integer>>(
                sTransaction.entrySet());

        Collections.sort(entries, new Comparator<Map.Entry<String, Integer>>() {

            @Override
            public int compare(Entry<String, Integer> o1,
                    Entry<String, Integer> o2) {
                return o1.getValue().compareTo(o2.getValue());
            }
        });
        sOutPlayer = new ArrayList<String>();
        sOutPlayerData = new ArrayList<Integer>();
        int i = 0;
        for (Map.Entry<String, Integer> entry : entries) {
            sOutPlayer.add(i, entry.getKey());
            sOutPlayerData.add(i, entry.getValue());
            i++;
        }
    }

    private static ArrayList<String[]> minimizeTransaction() {
        if (sOutPlayerData.get(0) >= 0) {
            return null;
        }
        sResult = new ArrayList<String[]>();
        int i = 0;
        int j = sOutPlayer.size() - 1;
        while (i <= j) {
            String[] temp = new String[3];
            boolean flag = false;
            if (Math.abs(sOutPlayerData.get(i)) == Math.abs(sOutPlayerData.get(j))) {
                if (Math.abs(sOutPlayerData.get(i)) != 0) {
                    temp[0] = sOutPlayer.get(i);
                    temp[1] = sOutPlayer.get(j);
                    temp[2] = Math.abs(sOutPlayerData.get(i)) + "";
                    flag = true;
                }
                sOutPlayerData.set(i, 0);
                sOutPlayerData.set(j, 0);
                i++;
                j--;
            } else if (Math.abs(sOutPlayerData.get(i)) > Math.abs(sOutPlayerData.get(j))) {
                int val = Math.abs(sOutPlayerData.get(i)) - Math.abs(sOutPlayerData.get(j));
                if (Math.abs(sOutPlayerData.get(j)) != 0) {
                    temp[0] = sOutPlayer.get(i);
                    temp[1] = sOutPlayer.get(j);
                    temp[2] = Math.abs(sOutPlayerData.get(j)) + "";
                    flag = true;
                }
                sOutPlayerData.set(i, val * -1);
                sOutPlayerData.set(j, 0);
                j--;
            } else {
                int val = Math.abs(sOutPlayerData.get(j)) - Math.abs(sOutPlayerData.get(i));
                if (Math.abs(sOutPlayerData.get(i)) != 0) {
                    temp[0] = sOutPlayer.get(i);
                    temp[1] = sOutPlayer.get(j);
                    temp[2] = Math.abs(sOutPlayerData.get(i)) + "";
                    flag = true;
                }
                sOutPlayerData.set(i, 0);
                sOutPlayerData.set(j, val);
                i++;
            }
            if (flag) {
                sResult.add(temp);
            }
        }
        return sResult;
    }

    private static void display() {
        for (int i = 0; i < sResult.size(); i++) {
            System.out.println(sResult.get(i)[0] + " -> " + sResult.get(i)[1] + " = "
                    + sResult.get(i)[2]);
        }
    }

    public static void getMinimizedTransaction(String iFile, int numberOfTransaction) {
        sFile = new File(iFile);
        sInput = new String[numberOfTransaction][3];

        parseTransaction();
        getAllPlayer();
        getManipulatedTransactionData();
        sortByValue();
        minimizeTransaction();
        display();
    }
}

Checked with the above input:
output is :
C -> D = 8
C -> B = 5
A -> B = 3


Checked with this input:
A B 8
B C 4
C A 4

Output:
A -> B = 4

- Scorpion King April 19, 2016 | Flag Reply
Comment hidden because of low score. Click to expand.
1
of 3 vote

If we have the sample data as given above -

Find the unique variables in the data and we can make a table like this below

A B C D
-5 5 0 0
0 -8 8 0
0 0 -9 9
-10 0 0 10
0 11 0 -11
12 0 -12 0
Sum-3 8 -13 8

So finally we can take out the -3 and -13 Rs from A and C and add 8 and 8 into A and D
So, the total number of transactions = 4.
Also, we can verify the calculation by checking the Total of all the sum which should be zero.
Sum of A+B+C+D=0
-3+8-13+8=0

- Denis March 15, 2016 | Flag Reply
Comment hidden because of low score. Click to expand.
1
of 1 vote

Define number of total parties participating in transaction as variables.In this case 4(A,B,C,D).
for every input example C->A = 3 transaction increment increment first variable and decrement second variable by R.H.S qty i.e 3 in this case. So we have C=3 and A =-3 .
perform same for all the transaction.

finally we have something as
A= -3
B=8
C=-13
D=8

Start transaction with most nagitive to most positive
C->D = 8 ; after this (A =-3;B=8;C=-5;D=8) take most negative and most positive among these i.e C,B
C->B =5 ; after this (A=-3; B=3)
A->B = 3

completed in 3 transactions.

- Anonymous April 11, 2016 | Flag Reply
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0
of 0 vote

We combine (A->B=5 and B ->C=8 to C->A=3 ) and (A->D =10 and D->B = 11 to B ->A=1)
So we have
C->A=3
B->A=1
C->D=9
C->A=12

Combining futher, Minimum 3 transactions:
B->A=1
C->A=15
C->D=9

- Anonymous March 15, 2016 | Flag Reply
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0
of 0 vote

I have used the Java and Maps to solve this problem. Hope this helps

/**
 * 
 */
package practice;

import java.util.HashMap;
import java.util.Map;
import java.util.Map.Entry;

/**
 *  
 * This class is to minimise the transaction between the all the players
 * e.g. 
		A->B = Rs. 5 
		B->C = Rs. 8 
		C->D = Rs. 9 
		A->D = Rs. 10 
		D->B = Rs. 11 
		C->A = Rs. 12 
		
		We need to minimise the transaction in the above
 *
 */
public class MinimiseTransaction {

	/**
	 * @param args
	 */
	
	private static String transactions[][]  = {
									{"A","B","5"},
									{"B","C","8"},
									{"C","D","9"},
									{"A","D","10"},
									{"D","B","11"},
									{"C","A","12"},
									//{"D","A","3"}
								  };
	static Map<String, Integer>  minimalTransactionMap = new HashMap<String, Integer>();
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		
		Map<String, Integer> players = new HashMap<String, Integer>();
		// From the above transaction first find the list of players and also find whether they are going to gain or loose
		
		
		for(String[] transaction : transactions){
			// The 0th element of the array will be a gainer
			if(players.get(transaction[0])!=null){
				players.put(transaction[0], players.get(transaction[0]) - Integer.parseInt(transaction[2]) );
			}else{
				players.put(transaction[0], Integer.parseInt(transaction[2])*-1);
			}
			
			if(players.get(transaction[1])!=null){
				players.put(transaction[1], Integer.parseInt(transaction[2]) + players.get(transaction[1]));
			}else{
				players.put(transaction[1], Integer.parseInt(transaction[2]));
			}
			
			
		}
		// Print the gainers and loosers
		///System.out.println(players);
		
		// This method should be invoked till all the values are 0		
		while(!ifTransactionDone(players))
			findMaxGainerAndLooser(players);// Now find the maximum gainer and maximum looser

		System.out.println(minimalTransactionMap);
		
	}
	private static void findMaxGainerAndLooser(Map<String, Integer> players) {
		// TODO Auto-generated method stub
		int max = 0; String maxKey="";
		int min = 0; String minKey="";
		boolean first = true;
		for(Entry<String, Integer> playerGainLoss : players.entrySet()){
			if(first){
				max = playerGainLoss.getValue();
				min = playerGainLoss.getValue();
				maxKey = playerGainLoss.getKey();
				minKey = playerGainLoss.getKey();
				first  = false;
			}
			if(playerGainLoss.getValue() > max){
				max = playerGainLoss.getValue();
				maxKey = playerGainLoss.getKey();
			}
			if(playerGainLoss.getValue() < min){
				min = playerGainLoss.getValue();
				minKey = playerGainLoss.getKey();
			}
			
		}
		if(max == 0 && min==0)
			return; 
		// Find absolute of which one is greater
		if(max > (min*-1)){
			players.put(minKey, 0);
			players.put(maxKey, max + min);
			minimalTransactionMap.put(minKey+"->"+maxKey, min*-1);
		}else if(max < (min*-1)){
			players.put(maxKey, 0);
			players.put(minKey, max+min);
			minimalTransactionMap.put(minKey+"->"+maxKey, max);
		}else{
			players.put(maxKey, 0);
			players.put(minKey, 0);
			minimalTransactionMap.put(minKey+"->"+maxKey, max);
		}
		
		
		
	}
	
	public static boolean ifTransactionDone(Map<String, Integer> players){
		boolean transactionEnd = true;
		for(Entry<String, Integer> playerTrans : players.entrySet()){
			if(playerTrans.getValue()!=0){
				transactionEnd = false;
				break;
			}
		}
		
		return transactionEnd;
	}

}

- Deepak August 22, 2017 | Flag Reply
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0
of 0 vote

/**
*
*/
package practice;

import java.util.HashMap;
import java.util.Map;
import java.util.Map.Entry;

/**
*
* This class is to minimise the transaction between the all the players
* e.g.
A->B = Rs. 5
B->C = Rs. 8
C->D = Rs. 9
A->D = Rs. 10
D->B = Rs. 11
C->A = Rs. 12

We need to minimise the transaction in the above
*
*/
public class MinimiseTransaction {

/**
* @param args
*/

private static String transactions[][] = {
{"A","B","5"},
{"B","C","8"},
{"C","D","9"},
{"A","D","10"},
{"D","B","11"},
{"C","A","12"},
//{"D","A","3"}
};
static Map<String, Integer> minimalTransactionMap = new HashMap<String, Integer>();
public static void main(String[] args) {
// TODO Auto-generated method stub

Map<String, Integer> players = new HashMap<String, Integer>();
// From the above transaction first find the list of players and also find whether they are going to gain or loose


for(String[] transaction : transactions){
// The 0th element of the array will be a gainer
if(players.get(transaction[0])!=null){
players.put(transaction[0], players.get(transaction[0]) - Integer.parseInt(transaction[2]) );
}else{
players.put(transaction[0], Integer.parseInt(transaction[2])*-1);
}

if(players.get(transaction[1])!=null){
players.put(transaction[1], Integer.parseInt(transaction[2]) + players.get(transaction[1]));
}else{
players.put(transaction[1], Integer.parseInt(transaction[2]));
}


}
// Print the gainers and loosers
///System.out.println(players);

// This method should be invoked till all the values are 0
while(!ifTransactionDone(players))
findMaxGainerAndLooser(players);// Now find the maximum gainer and maximum looser

System.out.println(minimalTransactionMap);

}
private static void findMaxGainerAndLooser(Map<String, Integer> players) {
// TODO Auto-generated method stub
int max = 0; String maxKey="";
int min = 0; String minKey="";
boolean first = true;
for(Entry<String, Integer> playerGainLoss : players.entrySet()){
if(first){
max = playerGainLoss.getValue();
min = playerGainLoss.getValue();
maxKey = playerGainLoss.getKey();
minKey = playerGainLoss.getKey();
first = false;
}
if(playerGainLoss.getValue() > max){
max = playerGainLoss.getValue();
maxKey = playerGainLoss.getKey();
}
if(playerGainLoss.getValue() < min){
min = playerGainLoss.getValue();
minKey = playerGainLoss.getKey();
}

}
if(max == 0 && min==0)
return;
// Find absolute of which one is greater
if(max > (min*-1)){
players.put(minKey, 0);
players.put(maxKey, max + min);
minimalTransactionMap.put(minKey+"->"+maxKey, min*-1);
}else if(max < (min*-1)){
players.put(maxKey, 0);
players.put(minKey, max+min);
minimalTransactionMap.put(minKey+"->"+maxKey, max);
}else{
players.put(maxKey, 0);
players.put(minKey, 0);
minimalTransactionMap.put(minKey+"->"+maxKey, max);
}



}

public static boolean ifTransactionDone(Map<String, Integer> players){
boolean transactionEnd = true;
for(Entry<String, Integer> playerTrans : players.entrySet()){
if(playerTrans.getValue()!=0){
transactionEnd = false;
break;
}
}

return transactionEnd;
}

}

- Anonymous August 22, 2017 | Flag Reply
Comment hidden because of low score. Click to expand.
0
of 0 vote

/**
 * 
 */
package practice;

import java.util.HashMap;
import java.util.Map;
import java.util.Map.Entry;

/**
 *  
 * This class is to minimise the transaction between the all the players
 * e.g. 
		A->B = Rs. 5 
		B->C = Rs. 8 
		C->D = Rs. 9 
		A->D = Rs. 10 
		D->B = Rs. 11 
		C->A = Rs. 12 
		
		We need to minimise the transaction in the above
 *
 */
public class MinimiseTransaction {

	/**
	 * @param args
	 */
	
	private static String transactions[][]  = {
									{"A","B","5"},
									{"B","C","8"},
									{"C","D","9"},
									{"A","D","10"},
									{"D","B","11"},
									{"C","A","12"},
									//{"D","A","3"}
								  };
	static Map<String, Integer>  minimalTransactionMap = new HashMap<String, Integer>();
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		
		Map<String, Integer> players = new HashMap<String, Integer>();
		// From the above transaction first find the list of players and also find whether they are going to gain or loose
		
		
		for(String[] transaction : transactions){
			// The 0th element of the array will be a gainer
			if(players.get(transaction[0])!=null){
				players.put(transaction[0], players.get(transaction[0]) - Integer.parseInt(transaction[2]) );
			}else{
				players.put(transaction[0], Integer.parseInt(transaction[2])*-1);
			}
			
			if(players.get(transaction[1])!=null){
				players.put(transaction[1], Integer.parseInt(transaction[2]) + players.get(transaction[1]));
			}else{
				players.put(transaction[1], Integer.parseInt(transaction[2]));
			}
			
			
		}
		// Print the gainers and loosers
		///System.out.println(players);
		
		// This method should be invoked till all the values are 0		
		while(!ifTransactionDone(players))
			findMaxGainerAndLooser(players);// Now find the maximum gainer and maximum looser

		System.out.println(minimalTransactionMap);
		
	}
	private static void findMaxGainerAndLooser(Map<String, Integer> players) {
		// TODO Auto-generated method stub
		int max = 0; String maxKey="";
		int min = 0; String minKey="";
		boolean first = true;
		for(Entry<String, Integer> playerGainLoss : players.entrySet()){
			if(first){
				max = playerGainLoss.getValue();
				min = playerGainLoss.getValue();
				maxKey = playerGainLoss.getKey();
				minKey = playerGainLoss.getKey();
				first  = false;
			}
			if(playerGainLoss.getValue() > max){
				max = playerGainLoss.getValue();
				maxKey = playerGainLoss.getKey();
			}
			if(playerGainLoss.getValue() < min){
				min = playerGainLoss.getValue();
				minKey = playerGainLoss.getKey();
			}
			
		}
		if(max == 0 && min==0)
			return; 
		// Find absolute of which one is greater
		if(max > (min*-1)){
			players.put(minKey, 0);
			players.put(maxKey, max + min);
			minimalTransactionMap.put(minKey+"->"+maxKey, min*-1);
		}else if(max < (min*-1)){
			players.put(maxKey, 0);
			players.put(minKey, max+min);
			minimalTransactionMap.put(minKey+"->"+maxKey, max);
		}else{
			players.put(maxKey, 0);
			players.put(minKey, 0);
			minimalTransactionMap.put(minKey+"->"+maxKey, max);
		}
		
		
		
	}
	
	public static boolean ifTransactionDone(Map<String, Integer> players){
		boolean transactionEnd = true;
		for(Entry<String, Integer> playerTrans : players.entrySet()){
			if(playerTrans.getValue()!=0){
				transactionEnd = false;
				break;
			}
		}
		
		return transactionEnd;
	}

}

- Deepak August 22, 2017 | Flag Reply
Comment hidden because of low score. Click to expand.
0
of 0 vote

/**
*
*/
package practice;

import java.util.HashMap;
import java.util.Map;
import java.util.Map.Entry;

/**
*
* This class is to minimise the transaction between the all the players
* e.g.
A->B = Rs. 5
B->C = Rs. 8
C->D = Rs. 9
A->D = Rs. 10
D->B = Rs. 11
C->A = Rs. 12

We need to minimise the transaction in the above
*
*/
public class MinimiseTransaction {

/**
* @param args
*/

private static String transactions[][] = {
{"A","B","5"},
{"B","C","8"},
{"C","D","9"},
{"A","D","10"},
{"D","B","11"},
{"C","A","12"},
//{"D","A","3"}
};
static Map<String, Integer> minimalTransactionMap = new HashMap<String, Integer>();
public static void main(String[] args) {
// TODO Auto-generated method stub

Map<String, Integer> players = new HashMap<String, Integer>();
// From the above transaction first find the list of players and also find whether they are going to gain or loose


for(String[] transaction : transactions){
// The 0th element of the array will be a gainer
if(players.get(transaction[0])!=null){
players.put(transaction[0], players.get(transaction[0]) - Integer.parseInt(transaction[2]) );
}else{
players.put(transaction[0], Integer.parseInt(transaction[2])*-1);
}

if(players.get(transaction[1])!=null){
players.put(transaction[1], Integer.parseInt(transaction[2]) + players.get(transaction[1]));
}else{
players.put(transaction[1], Integer.parseInt(transaction[2]));
}


}
// Print the gainers and loosers
///System.out.println(players);

// This method should be invoked till all the values are 0
while(!ifTransactionDone(players))
findMaxGainerAndLooser(players);// Now find the maximum gainer and maximum looser

System.out.println(minimalTransactionMap);

}
private static void findMaxGainerAndLooser(Map<String, Integer> players) {
// TODO Auto-generated method stub
int max = 0; String maxKey="";
int min = 0; String minKey="";
boolean first = true;
for(Entry<String, Integer> playerGainLoss : players.entrySet()){
if(first){
max = playerGainLoss.getValue();
min = playerGainLoss.getValue();
maxKey = playerGainLoss.getKey();
minKey = playerGainLoss.getKey();
first = false;
}
if(playerGainLoss.getValue() > max){
max = playerGainLoss.getValue();
maxKey = playerGainLoss.getKey();
}
if(playerGainLoss.getValue() < min){
min = playerGainLoss.getValue();
minKey = playerGainLoss.getKey();
}

}
if(max == 0 && min==0)
return;
// Find absolute of which one is greater
if(max > (min*-1)){
players.put(minKey, 0);
players.put(maxKey, max + min);
minimalTransactionMap.put(minKey+"->"+maxKey, min*-1);
}else if(max < (min*-1)){
players.put(maxKey, 0);
players.put(minKey, max+min);
minimalTransactionMap.put(minKey+"->"+maxKey, max);
}else{
players.put(maxKey, 0);
players.put(minKey, 0);
minimalTransactionMap.put(minKey+"->"+maxKey, max);
}



}

public static boolean ifTransactionDone(Map<String, Integer> players){
boolean transactionEnd = true;
for(Entry<String, Integer> playerTrans : players.entrySet()){
if(playerTrans.getValue()!=0){
transactionEnd = false;
break;
}
}

return transactionEnd;
}

}

- Deepak August 22, 2017 | Flag Reply
Comment hidden because of low score. Click to expand.
0
of 0 vote

/**
 * 
 */
package practice;

import java.util.HashMap;
import java.util.Map;
import java.util.Map.Entry;

/**
 *  
 * This class is to minimise the transaction between the all the players
 * e.g. 
		A->B = Rs. 5 
		B->C = Rs. 8 
		C->D = Rs. 9 
		A->D = Rs. 10 
		D->B = Rs. 11 
		C->A = Rs. 12 
		
		We need to minimise the transaction in the above
 *
 */
public class MinimiseTransaction {

	/**
	 * @param args
	 */
	
	private static String transactions[][]  = {
									{"A","B","5"},
									{"B","C","8"},
									{"C","D","9"},
									{"A","D","10"},
									{"D","B","11"},
									{"C","A","12"},
									//{"D","A","3"}
								  };
	static Map<String, Integer>  minimalTransactionMap = new HashMap<String, Integer>();
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		
		Map<String, Integer> players = new HashMap<String, Integer>();
		// From the above transaction first find the list of players and also find whether they are going to gain or loose
		
		
		for(String[] transaction : transactions){
			// The 0th element of the array will be a gainer
			if(players.get(transaction[0])!=null){
				players.put(transaction[0], players.get(transaction[0]) - Integer.parseInt(transaction[2]) );
			}else{
				players.put(transaction[0], Integer.parseInt(transaction[2])*-1);
			}
			
			if(players.get(transaction[1])!=null){
				players.put(transaction[1], Integer.parseInt(transaction[2]) + players.get(transaction[1]));
			}else{
				players.put(transaction[1], Integer.parseInt(transaction[2]));
			}
			
			
		}
		// Print the gainers and loosers
		///System.out.println(players);
		
		// This method should be invoked till all the values are 0		
		while(!ifTransactionDone(players))
			findMaxGainerAndLooser(players);// Now find the maximum gainer and maximum looser

		System.out.println(minimalTransactionMap);
		
	}
	private static void findMaxGainerAndLooser(Map<String, Integer> players) {
		// TODO Auto-generated method stub
		int max = 0; String maxKey="";
		int min = 0; String minKey="";
		boolean first = true;
		for(Entry<String, Integer> playerGainLoss : players.entrySet()){
			if(first){
				max = playerGainLoss.getValue();
				min = playerGainLoss.getValue();
				maxKey = playerGainLoss.getKey();
				minKey = playerGainLoss.getKey();
				first  = false;
			}
			if(playerGainLoss.getValue() > max){
				max = playerGainLoss.getValue();
				maxKey = playerGainLoss.getKey();
			}
			if(playerGainLoss.getValue() < min){
				min = playerGainLoss.getValue();
				minKey = playerGainLoss.getKey();
			}
			
		}
		if(max == 0 && min==0)
			return; 
		// Find absolute of which one is greater
		if(max > (min*-1)){
			players.put(minKey, 0);
			players.put(maxKey, max + min);
			minimalTransactionMap.put(minKey+"->"+maxKey, min*-1);
		}else if(max < (min*-1)){
			players.put(maxKey, 0);
			players.put(minKey, max+min);
			minimalTransactionMap.put(minKey+"->"+maxKey, max);
		}else{
			players.put(maxKey, 0);
			players.put(minKey, 0);
			minimalTransactionMap.put(minKey+"->"+maxKey, max);
		}
		
		
		
	}
	
	public static boolean ifTransactionDone(Map<String, Integer> players){
		boolean transactionEnd = true;
		for(Entry<String, Integer> playerTrans : players.entrySet()){
			if(playerTrans.getValue()!=0){
				transactionEnd = false;
				break;
			}
		}
		
		return transactionEnd;
	}

}

- Deepak August 22, 2017 | Flag Reply


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