# Practice on Toph

Participate in exhilarating programming contests, solve unique algorithm and data structure challenges and be a part of an awesome community.

Participate in exhilarating programming contests, solve unique algorithm and data structure challenges and be a part of an awesome community.

Limits
1s, 512 MB

You will be given three integers a, b and k. You can perform one of the following two operations maximum k times.

- Increase the value of a by one.
- Increase the value of b by one.

You have to maximize the value of a×b after performing all the operations.

The first line of the input contains three integers **a**, **b** and **k** (1 ≤ a, b, k ≤ 1000).

Print the maximum value of a×b after performing the above operations maximum k times.

Input | Output |
---|---|

2 4 3 | 20 |

In this case, we can perform the increase operations on the value a by k times. So after all the operations are done a will become 5 and b will be 4. Our final result is 4×5 = 20. This is the maximum possible answer that we can get in optimal strategy. |

Input | Output |
---|---|

20 30 16 | 1089 |

Input | Output |
---|---|

50 55 6 | 3080 |

Input | Output |
---|---|

5 9 3 | 72 |

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