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- Prepare
- Mathematics
- Fundamentals
- Cutting Paper Squares

# Cutting Paper Squares

# Cutting Paper Squares

Mary has an piece of paper that she wants to cut into pieces according to the following rules:

- She can only cut
*one piece of paper at a time*, meaning she*cannot*fold the paper or layer already-cut pieces on top of one another. - Each cut is a straight line from one side of the paper to the other side of the paper. For example, the diagram below depicts the three possible ways to cut a piece of paper:

Given and , find and print the minimum number of cuts Mary must make to cut the paper into squares that are unit in size.

**Input Format**

A single line of two space-separated integers denoting the respective values of and .

**Constraints**

**Output Format**

Print a long integer denoting the minimum number of cuts needed to cut the entire paper into squares.

**Sample Input**

```
3 1
```

**Sample Output**

```
2
```

**Explanation**

Mary first cuts the piece of paper into a piece and a piece. She then cuts the piece into two pieces:

Because it took her two cuts to get pieces of size , we print as our answer.