📄 usaco 3_1_2 score inflation 题解_leokan的blog.mht
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<DIV class=3Dmodbox id=3Dm_blog>
<DIV class=3Dtit>USACO 3.1.2 Score Inflation =CC=E2=BD=E2</DIV>
<DIV class=3Ddate>2008=C4=EA01=D4=C231=C8=D5 =D0=C7=C6=DA=CB=C4 =
19:13</DIV>
<TABLE style=3D"TABLE-LAYOUT: fixed">
<TBODY>
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<DIV class=3Dcnt>
<H2>USACO 3.1.2 Score Inflation</H2>
<DIV class=3Dt_msgfont>Score Inflation<BR><BR>The more points =
students score=20
in our contests, the happier we here at the <SPAN class=3Dt_tag=20
href=3D"tag.php?name=3DUSACO">USACO</SPAN> are. We try to design =
our contests=20
so that people can score as many points as possible, and would =
like your=20
assistance. <BR><BR>We have several categories from which problems =
can be=20
chosen, where a "category" is an unlimited set of contest problems =
which=20
all require the same amount of time to solve and deserve the same =
number=20
of points for a correct solution. Your task is write a program =
which tells=20
the USACO staff how many problems from each category to include in =
a=20
contest so as to maximize the total number of points in the chosen =
problems while keeping the total solution time within the length =
of the=20
contest. <BR><BR>The input includes the length of the contest, M =
(1 <=3D=20
M <=3D 10,000) (don't worry, you won't have to compete in the =
longer=20
contests until training camp) and N, the number of problem =
categories,=20
where 1 <=3D N <=3D 10,000. <BR><BR>Each of the subsequent N =
lines=20
contains two integers describing a category: the first integer =
tells the=20
number of points a problem from that category is worth (1 <=3D =
points=20
<=3D 10000); the second tells the number of minutes a problem =
from that=20
category takes to solve (1 <=3D minutes <=3D 10000). =
<BR><BR>Your=20
program should determine the number of problems we should take =
from each=20
category to make the highest-scoring contest solvable within the =
length of=20
the contest. Remember, the number from any category can be any =
nonnegative=20
integer (0, one, or many). Calculate the maximum number of =
possible=20
points. <BR><BR>PROGRAM NAME: inflate<BR>INPUT FORMAT<BR>Line=20
1: M, N -- contest minutes and number of problem=20
classes <BR>Lines 2-N+1: Two integers: the =
points=20
and minutes for each class <BR><BR>SAMPLE INPUT (file inflate.in) =
<BR>300=20
4<BR>100 60<BR>250 120<BR>120 100<BR>35 20<BR><BR>OUTPUT =
FORMAT<BR>A=20
single line with the maximum number of points possible given the=20
constraints. <BR>SAMPLE OUTPUT (file =
inflate.out)<BR>605<BR><BR>(Take two=20
problems from #2 and three from #4.) <BR><BR><BR><BR>Score=20
Inflation<BR><BR>=D7=DC=B7=D6<BR><BR>=D2=EB by=20
=
timgreen<BR><BR>=D1=A7=C9=FA=D4=DA=CE=D2=C3=C7USACO=B5=C4=BE=BA=C8=FC=D6=D0=
=B5=C4=B5=C3=B7=D6=D4=BD=B6=E0=CE=D2=C3=C7=D4=BD=B8=DF=D0=CB=A1=A3<BR>=CE=
=D2=C3=C7=CA=D4=D7=C5=C9=E8=BC=C6=CE=D2=C3=C7=B5=C4=BE=BA=C8=FC=D2=D4=B1=E3=
=C8=CB=C3=C7=C4=DC=BE=A1=BF=C9=C4=DC=B5=C4=B6=E0=B5=C3=B7=D6,=D5=E2=D0=E8=
=D2=AA=C4=E3=B5=C4=B0=EF=D6=FA=A1=A3<BR>=CE=D2=C3=C7=BF=C9=D2=D4=B4=D3=BC=
=B8=B8=F6=D6=D6=C0=E0=D6=D0=D1=A1=C8=A1=BE=BA=C8=FC=B5=C4<SPAN=20
class=3Dt_tag=20
=
href=3D"tag.php?name=3D%CC%E2%C4%BF">=CC=E2=C4=BF</SPAN>,=D5=E2=C0=EF=B5=C4=
=D2=BB=B8=F6"=D6=D6=C0=E0"=CA=C7=D6=B8=D2=BB=B8=F6=BE=BA=C8=FC<SPAN=20
class=3Dt_tag =
href=3D"tag.php?name=3D%CC%E2%C4%BF">=CC=E2=C4=BF</SPAN>=B5=C4=BC=AF=BA=CF=
,=BD=E2=BE=F6=BC=AF=BA=CF=D6=D0=B5=C4<SPAN=20
class=3Dt_tag=20
=
href=3D"tag.php?name=3D%CC%E2%C4%BF">=CC=E2=C4=BF</SPAN>=D0=E8=D2=AA=CF=E0=
=CD=AC=B6=E0=B5=C4=CA=B1=BC=E4=B2=A2=C7=D2=C4=DC=B5=C3=B5=BD=CF=E0=CD=AC=B5=
=C4<SPAN=20
class=3Dt_tag=20
=
href=3D"tag.php?name=3D%B7%D6%CA%FD">=B7=D6=CA=FD</SPAN>=A1=A3<BR>=C4=E3=B5=
=C4=C8=CE=CE=F1=CA=C7=D0=B4=D2=BB=B8=F6=B3=CC=D0=F2=C0=B4=B8=E6=CB=DFUSAC=
O=B5=C4=D6=B0=D4=B1,=D3=A6=B8=C3=B4=D3=C3=BF=D2=BB=B8=F6=D6=D6=C0=E0=D6=D0=
=D1=A1=C8=A1=B6=E0=C9=D9=CC=E2=C4=BF,=CA=B9=B5=C3=BD=E2=BE=F6=CC=E2=C4=BF=
=B5=C4=D7=DC=BA=C4=CA=B1=D4=DA=BE=BA=C8=FC=B9=E6=B6=A8=B5=C4=CA=B1=BC=E4=C0=
=EF=B2=A2=C7=D2=D7=DC=B7=D6=D7=EE=B4=F3=A1=A3<BR>=CA=E4=C8=EB=B0=FC=C0=A8=
=BE=BA=C8=FC=B5=C4=CA=B1=BC=E4,M(1=20
<=3D M <=3D =
10,000)(=B2=BB=D2=AA=B5=A3=D0=C4,=C4=E3=D2=AA=B5=BD=C1=CB=D1=B5=C1=B7=D3=AA=
=D6=D0=B2=C5=BB=E1=D3=D0=B3=A4=CA=B1=BC=E4=B5=C4=B1=C8=C8=FC)=BA=CDN,"=D6=
=D6=C0=E0"=B5=C4=CA=FD=C4=BF1 <=3D N <=3D=20
=
10,000=A1=A3<BR>=BA=F3=C3=E6=B5=C4=C3=BF=D2=BB=D0=D0=BD=AB=B0=FC=C0=A8=C1=
=BD=B8=F6=D5=FB=CA=FD=C0=B4=C3=E8=CA=F6=D2=BB=B8=F6"=D6=D6=C0=E0":<BR>=B5=
=DA=D2=BB=B8=F6=D5=FB=CA=FD=CB=B5=C3=F7=BD=E2=BE=F6=D5=E2=D6=D6=CC=E2=C4=BF=
=C4=DC=B5=C3=B5=C4=B7=D6=CA=FD(1 <=3D points=20
<=3D =
10000),=B5=DA=B6=FE=D5=FB=CA=FD=CB=B5=C3=F7=BD=E2=BE=F6=D5=E2=D6=D6=CC=E2=
=C4=BF=CB=F9=D0=E8=B5=C4=CA=B1=BC=E4(1 <=3D minutes <=3D=20
=
10000)=A1=A3<BR>=C4=E3=B5=C4=B3=CC=D0=F2=D3=A6=B8=C3=C8=B7=B6=A8=CE=D2=C3=
=C7=D3=A6=B8=C3=B4=D3=C3=BF=B8=F6"=D6=D6=C0=E0"=D6=D0=D1=A1=B6=E0=C9=D9=B5=
=C0=CC=E2=C4=BF=CA=B9=B5=C3=C4=DC=D4=DA=BE=BA=C8=FC=B5=C4=CA=B1=BC=E4=D6=D0=
=B5=C3=B5=BD=D7=EE=B4=F3=B5=C4=B7=D6=CA=FD=A1=A3<BR>=C0=B4=D7=D4=C8=CE=D2=
=E2=B5=C4"=D6=D6=C0=E0"=B5=C4=CC=E2=C4=BF=CA=FD=C4=BF=BF=C9=C4=DC=C8=CE=BA=
=CE=B7=C7=B8=BA=CA=FD(0=BB=F2=B8=FC=B6=E0)=A1=A3<BR>=BC=C6=CB=E3=BF=C9=C4=
=DC=B5=C3=B5=BD=B5=C4=D7=EE=B4=F3=B7=D6=CA=FD=A1=A3<BR><BR>PROGRAM=20
NAME: inflate<BR><BR>INPUT FORMAT<BR><BR>=B5=DA 1 =D0=D0: M,=20
=
N--=BE=BA=C8=FC=B5=C4=CA=B1=BC=E4=BA=CD=CC=E2=C4=BF"=D6=D6=C0=E0"=B5=C4=CA=
=FD=C4=BF=A1=A3 <BR>=B5=DA 2-N+1 =D0=D0: =20
=
=C1=BD=B8=F6=D5=FB=CA=FD:=C3=BF=B8=F6"=D6=D6=C0=E0"=CC=E2=C4=BF=B5=C4=B7=D6=
=CA=FD=BA=CD=BA=C4=CA=B1=A1=A3 <BR><BR>SAMPLE INPUT (file inflate.in) =
<BR><BR>300=20
4<BR>100 60<BR>250 120<BR>120 100<BR>35 20<BR><BR>OUTPUT=20
=
FORMAT<BR><BR>=B5=A5=B6=C0=B5=C4=D2=BB=D0=D0=B0=FC=C0=A8=C4=C7=B8=F6=D4=DA=
=B8=F8=B6=A8=B5=C4=CF=DE=D6=C6=C0=EF=BF=C9=C4=DC=B5=C3=B5=BD=B5=C4=D7=EE=B4=
=F3=B5=C4=B7=D6=CA=FD=A1=A3<BR><BR>SAMPLE OUTPUT (file=20
=
inflate.out)<BR><BR>605<BR>{=B4=D3=B5=DA2=B8=F6"=D6=D6=C0=E0"=D6=D0=D1=A1=
=C1=BD=CC=E2=B5=DA4=B8=F6"=D6=D6=C0=E0"=D6=D0=D1=A1=C8=FD=CC=E2}</DIV>
<HR>
<P><STRONG>USACO 3.1.2 Score =
Inflation<BR>=CC=E1=BD=BB=B4=CE=CA=FD:2=B4=CE<FONT size=3D1><FONT=20
=
color=3D#ffffff>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><=
A href=3D"http://hi.baidu.com/leokan/"><FONT=20
=
color=3D#ffffff>http://hi.baidu.com/leokan/</FONT></A></FONT><BR>=CD=EA=C8=
=AB=B1=B3=B0=FC,DP=B5=AB=CA=C7=D4=DADP=B5=C4=B4=A6=C0=ED=C9=CF=D2=B2=D3=D0=
=BA=DC=B4=F3=BC=BC=C7=C9,</STRONG></P>
<P><STRONG> Test 1: TEST OK [0 =
secs]<FONT=20
color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 2: TEST OK [0.432 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 3: TEST OK [0.004 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 4: TEST OK [0.064 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 5: TEST OK [0.276 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 6: TEST OK [0.436 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 7: TEST OK [0.44 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 8: TEST OK [0.444 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 9: TEST OK [0.452 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 10: TEST OK [0.448 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 11: TEST OK [0.008 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR> &nbs=
p; =20
Test 12: TEST OK [0.436 secs]<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
size=3D1>http://hi.baidu.com/leokan/</FONT></A></STRONG></P>
<P><STRONG>=BD=E2=CC=E2=B1=A8=B8=E6<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
size=3D1>http://hi.baidu.com/leokan/</FONT></A></STRONG></P>
<P><STRONG>=CE=CA=CC=E2=D6=D8=CA=F6:<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR>=B8=F8=B3=F6=D7=D4=C8=BB=
=CA=FDm=BA=CDn,=D2=D4=BC=B0n=B6=D4=CA=FD.<FONT=20
color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR>=D3=C9=B5=DA1=B6=D4=CA=
=FD=BF=AA=CA=BC=B5=BD=B5=DAn=B6=D4=CA=FD=CE=AA=D6=B9<FONT=20
color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR>=BC=C7=B5=DAx=B6=D4=CA=
=FD=B5=C4=C1=BD=B8=F6=CA=FD=CE=AAS(x),T(x).<FONT=20
color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR>=D2=AA=C7=F3=D2=BB=D6=D6=
=C8=A1=CA=FD=B6=D4=B5=C4=B7=BD=B7=A8,=CA=B9=B5=C3=D4=DA=A1=C6T<=3Dm=B5=
=C4=C7=E9=BF=F6=CF=C2=A1=C6S=D7=EE=B4=F3.(=C3=BF=B6=D4=CA=FD=BF=C9=D2=D4=D6=
=D8=B8=B4=C8=A1),=CA=E4=B3=F6=A1=C6S=B5=C4=D7=EE=B4=F3=D6=B5.<FONT=20
color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
size=3D1>http://hi.baidu.com/leokan/</FONT></A></STRONG></P>
<P><STRONG>=CE=CA=CC=E2=B7=D6=CE=F6:<FONT color=3D#ffffff =
size=3D1>=B1=BE=CC=FB=D4=AD=B4=B4,=C7=EB=CE=F0=D7=AA=D4=D8</FONT><A=20
href=3D"http://hi.baidu.com/leokan/"><FONT color=3D#ffffff=20
=
size=3D1>http://hi.baidu.com/leokan/</FONT></A><BR>=BC=C8=C8=BB=C3=BF=B6=D4=
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