Tennis#1161
ping?
pong
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ICMP Protocol
Alina does not like watching TV, but she turns it on to play the built-in "tennis" game with her younger brother Boris.
The game is played on a rectangular field of size 2w \times 2h, where a ball (considered as a point) flies around. Initially, the ball is at the center of the field (coordinates ) and moves with a velocity vector (x_v, y_v). The players control their "rackets", which are vertical segments of lengths and . At the beginning, Alina's racket is located from (-w, a/2) to (-w, -a/2), and Boris's racket is from (w, b/2) to (w, -b/2). The rackets can move along the -axis with speed v_r.
If the ball hits a horizontal boundary of the field, it bounces off at the same angle and its speed does not change. If it hits a racket (including its edge), it bounces off at the same angle and its speed increases by . If the ball hits a vertical boundary of the field without hitting a racket, the respective player loses: if it hits the left boundary, Alina loses; if it hits the right boundary, Boris loses. If each player has touched the ball with their racket times, the game ends in a draw.
Given the field dimensions, racket parameters, the ball's initial speed, and the value , determine who wins with optimal play.
The first line contains integers and (1 \leq w, h \leq 10^4). The second line contains x_v and y_v (1 \leq |x_v| \leq 10^4, 1 \leq |y_v| \leq 10^4). The third line contains and (1 \leq a, b \leq 2h). The fourth line contains v_r (1 \leq v_r \leq 10^4) and (1 \leq n \leq 100).
Print "First" if Alina wins, "Second" if Boris wins, or "Draw" if the game ends in a draw.
Example 1