Fitting on the Bed

Anya is Arup's daughter. She does not sleep in a bed the usual way. She can put her head anywhere, and she can lie in any direction. For this problem, Anya is very thin (she is at the fifth percentile in weight), so she is modeled as a line segment with her head at one end. The bed is a rectangle whose bottom left corner is (0, 0), whose top left corner is (0, L), and whose top right corner is (W, L). L is the length of the bed and W is its width.

In the left diagram below, Anya's head is near the top left corner and she lies completely sideways, off the bed. This is the first case. In the right diagram, her head starts a little lower than in the first diagram, but she lies on a diagonal, and that lets her fit on the bed.

The first line has three positive integers: L (L ≤ 500), the length of the bed in centimeters, W (W ≤ 500), the width of the bed in centimeters, and H (H ≤ 200), Anya's height in centimeters.

The second line has three non-negative integers: x (x ≤ W), the distance in centimeters from the left side of the bed to Anya's head, y (y ≤ L), the distance in centimeters from the bottom of the bed to her head, and a (a ≤ 359), the angle in degrees that her body faces, measured from her head.

Print YES if Anya fits completely on the bed, and NO otherwise. In every case where she does not fit, at least 1% of her body is off the bed. If part or all of her body touches an edge of the bed but none of it extends past the edge, she counts as on the bed.

In the first case, Anya's head is 40 cm from the left end of the bed near the top, and her body points fully to the right. Only 110 cm lies to the right of her head, and she is 115 cm tall, so 5 cm of her is off the bed.

In the second case, her head is 40 cm lower than in the first case. She lies on a diagonal in the direction a clock's hour hand points at 4:30. In this position, there are 110 cm to the right and 150 cm downward, so she fits on the bed.