📄 problem - 1011.mht
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Subject: Problem - 1011
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<H1 style=3D"COLOR: #1a5cc8">Starship Troopers</H1><FONT =
size=3D+0><B><SPAN=20
style=3D"FONT-WEIGHT: bold; FONT-SIZE: 12px; COLOR: green; =
FONT-FAMILY: Arial">Time=20
Limit: 10000/5000 MS (Java/Others) Memory =
Limit:=20
65536/32768 K (Java/Others)<BR>Total Submission(s):=20
271 Accepted Submission(s):=20
21<BR></SPAN></B></FONT><BR><BR>
<DIV class=3Dpanel_title align=3Dleft>Problem Description</DIV>
<DIV class=3Dpanel_content>You, the leader of Starship Troopers, =
are sent to=20
destroy a base of the bugs. The base is built underground. It is =
actually=20
a huge cavern, which consists of many rooms connected with =
tunnels. Each=20
room is occupied by some bugs, and their brains hide in some of =
the rooms.=20
Scientists have just developed a new weapon and want to experiment =
it on=20
some brains. Your task is to destroy the whole base, and capture =
as many=20
brains as possible.<BR><BR>To kill all the bugs is always easier =
than to=20
capture their brains. A map is drawn for you, with all the rooms =
marked by=20
the amount of bugs inside, and the possibility of containing a =
brain. The=20
cavern's structure is like a tree in such a way that there is one =
unique=20
path leading to each room from the entrance. To finish the battle =
as soon=20
as possible, you do not want to wait for the troopers to clear a =
room=20
before advancing to the next one, instead you have to leave some =
troopers=20
at each room passed to fight all the bugs inside. The troopers =
never=20
re-enter a room where they have visited before.<BR><BR>A starship =
trooper=20
can fight against 20 bugs. Since you do not have enough troopers, =
you can=20
only take some of the rooms and let the nerve gas do the rest of =
the job.=20
At the mean time, you should maximize the possibility of capturing =
a=20
brain. To simplify the problem, just maximize the sum of all the=20
possibilities of containing brains for the taken rooms. Making =
such a plan=20
is a difficult job. You need the help of a computer.<BR></DIV>
<DIV class=3Dpanel_bottom> </DIV><BR>
<DIV class=3Dpanel_title align=3Dleft>Input</DIV>
<DIV class=3Dpanel_content>The input contains several test cases. =
The first=20
line of each test case contains two integers N (0 < N <=3D =
100) and M=20
(0 <=3D M <=3D 100), which are the number of rooms in the =
cavern and the=20
number of starship troopers you have, respectively. The following =
N lines=20
give the description of the rooms. Each line contains two =
non-negative=20
integers -- the amount of bugs inside and the possibility of =
containing a=20
brain, respectively. The next N - 1 lines give the description of =
tunnels.=20
Each tunnel is described by two integers, which are the indices of =
the two=20
rooms it connects. Rooms are numbered from 1 and room 1 is the =
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