You are the head of n spies, who are all wandering in a city. On one day you received a…

You are the head of n
spies, who are all wandering in a city. On one day you received a secret
message that the bad guys in this city are going to arrest all your spies, so
you’ll have to arrange for your spies to run away and hide in strongholds. You
have T minutes before the bad guys arrive. Your n spies are currently located

(x1, yi), (x2, y2), …, (Xn, Yn),

and your m strongholds are located at

(ai, bi), (az, b2), …,
(am, bm).

The ith spy can move vi units per minute, and
each stronghold can hold only one spy.

Design a polynomial time algorithm which
determines which spies should be sent to which strongholds so that you have the
maximum number of spies hiding from the bad guys.

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