p03582 CODE FESTIVAL 2017 qual B - Largest Smallest Cyclic Shift
For a string S, let f(S) be the lexicographically smallest cyclic shift of S. For example, if S = `babca`, f(S) = `ababc` because this is the smallest among all cyclic shifts (`babca`, `abcab`, `bcaba`, `cabab`, `ababc`).

You are given three integers X, Y, and Z. You want to construct a string T that consists of exactly X `a`s, exactly Y `b`s, and exactly Z `c`s. If there are multiple such strings, you want to choose one that maximizes f(T) lexicographically.

Compute the lexicographically largest possible value of f(T).

Constraints

* 1 \leq X + Y + Z \leq 50
* X, Y, Z are non-negative integers.

Input

Input is given from Standard Input in the following format:


X Y Z


Output

Print the answer.

Examples

Input

2 2 0


Output

abab


Input

1 1 1


Output

acb
```python
a,b,c = map(int,input().split())

L = [[0] for _ in range(a)] + [[1] for _ in range(b)] + [[2] for _ in range(c)]
while len(L) > 1:
  L[0] += L.pop()
  L.sort()
print(''.join(('a','b','c')[i] for i in L[0]))
```