Suppose you are given the following code:

class ZeroEvenOdd {
public ZeroEvenOdd(int n) { ... }      // constructor
public void zero(printNumber) { ... }  // only output 0's
public void even(printNumber) { ... }  // only output even numbers
public void odd(printNumber) { ... }   // only output odd numbers
}


The same instance of ZeroEvenOdd will be passed to three different threads:

1. Thread A will call zero() which should only output 0’s.
2. Thread B will call even() which should only ouput even numbers.
3. Thread C will call odd() which should only output odd numbers.

Each of the thread is given a printNumber method to output an integer. Modify the given program to output the series 010203040506… where the length of the series must be 2n.

Example 1:

Input: n = 2
Output: "0102"
Explanation: There are three threads being fired asynchronously. One of them calls zero(), the other calls even(), and the last one calls odd(). "0102" is the correct output.


Example 2:

Input: n = 5
Output: "0102030405"

## C++

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