Smallest Square Side

You are given two integers X and Y representing the dimensions of a rectangle. Your task is to determine the smallest integer Z such that the area of a square with side Z is strictly greater than the area of the rectangle.

This can be expressed mathematically using the inequality:

\( Z^2 > X \times Y \)

Compute the product X \times Y and find the smallest integer Z that satisfies the above condition. You should read the input from stdin and output your answer to stdout.

inputFormat

The input consists of a single line containing two space-separated integers X and Y, where X and Y represent the dimensions of the rectangle.

Example:

5 4

outputFormat

Output a single integer Z, the smallest integer such that \( Z^2 > X \times Y \).

Example:

5

## sample

5 4

5