Circles Intersection

Given two circles defined by their centers and radii, determine whether the circles intersect or at least touch each other.

Let the first circle have center \((x_1, y_1)\) and radius \(r_1\), and the second circle have center \((x_2, y_2)\) and radius \(r_2\). The distance between the centers is computed by the formula:

$$d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$$

The circles intersect or touch if \(d \leq r_1 + r_2\). Your task is to read the input values and output YES if the circles intersect or touch, and NO otherwise.

inputFormat

A single line contains six space-separated integers: x1, y1, r1, x2, y2, r2.

outputFormat

Output a single line containing either YES or NO depending on whether the circles intersect or touch.## sample

0 0 5 5 0 5

YES