Two teams, Red and Blue, are competing on the number axis. After the game there are. c be the position of the center of the target area. From the description above we know that if there exists some
Curling is a sport in which players slide stones on a sheet of ice toward a target area. The team with the nearest stone to the center of the target area wins the game. Two teams, Red and Blue, are competing on the number axis. After the game there are (n+m) (n+m) stones remaining on the axis, n n of them for the Red team and the other m m of them for the Blue. The i i-th stone of the Red team is positioned at a_i a i and the i i-th stone of the Blue team is positioned at b_i b i . Let c c be the position of the center of the target area. From the description above we know that if there exists some i i such that 1 le i le n 1≤i≤n and for all 1 le j le m 1≤j≤m we have |c - a_i| < |c - b_j| ∣c−a i ∣<∣c−b j ∣ then Red wins the game. What's more, Red is declared to win p p points if the number of i i satisfying the constraint is exactly p p. Given the positions of the stones for team Red and Blue, your task is to determine the position c c of the center of the target area so that Red wins the game and scores as much as possible. Note that c c can be any real number, not necessarily an integer.