Rectangles#1657

Rectangles

1 second
64 megabytes
Hard

Given real numbers , , , and .

Determine whether a rectangle with sides and can be completely placed inside a rectangle with sides and .

Input

The first line of the input contains the real numbers , , , and , separated by one or more spaces or newline characters.

Output

Print YES if the second rectangle can fit inside the first one, otherwise print NO.

Examples

Example 1

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