The Hungarian method is an .… algorithm that solves an assignment problem.

Answer

### Step-by-Step Text Solution:

1. **Understanding the Hungarian Method**: The Hungarian method is a combinatorial optimization algorithm that is used to solve assignment problems. An assignment problem involves assigning resources to tasks in such a way that the total cost is minimized or the total profit is maximized.

2. **Identifying the Nature of the Algorithm**: The Hungarian method specifically focuses on minimizing costs associated with assignments. This means that it seeks to find the most efficient way to allocate resources while keeping expenses as low as possible.

3. **Defining the Type of Algorithm**: Since the Hungarian method is designed to optimize the assignment problem, it can be classified as an optimization algorithm. Optimization algorithms are used to find the best solution from a set of feasible solutions.

4. **Conclusion**: Therefore, the Hungarian method is an **optimization algorithm** that solves an assignment problem.