{"id":232,"date":"2010-04-24T11:21:00","date_gmt":"2010-04-24T03:21:00","guid":{"rendered":"http:\/\/localhost\/?p=232"},"modified":"2010-04-24T11:21:00","modified_gmt":"2010-04-24T03:21:00","slug":"bejing_icpc_2007_jewel_trading","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=232","title":{"rendered":"BeJing ICPC 2007 Jewel Trading"},"content":{"rendered":"

acmicpc-live-archive.uva.es\/nuevoportal\/<\/a>
\u9898\u76ee\u5728UVA\u4e0a\u3002\u3002\u3002
\u8fd9\u9053\u9898\u9996\u5148\u53ef\u4ee5\u5217\u4e2aDp\u65b9\u7a0b\u51fa\u6765
\u8bbeF[n]\u4e3a\u8fd8\u6709n\u6b21\u5c31\u8981\u4ee5a\u4ef7\u683c\u5356\u51fa\u7684\u6700\u5927\u671f\u671b\u6536\u5165\uff0c\u90a3\u4e48
F[n]=Max{ (p-F[n-1])\/(1+(p-a)^b) }+F[n-1]…p\u4e3a\u5927\u4e8ea\u7684\u6574\u6570\u3002\u3002
\u7531\u4e8e\u51b3\u7b56\u6709\u65e0\u9650\u4e2a\u3002\u3002\u4e00\u822c\u7684Dp\u90fd\u60b2\u5267\u4e86\u3002\u3002
\u4e00\u5f00\u59cb\u6211\u7528\u5fae\u79ef\u5206\u7b97\u51fa\u8fd9\u4e2a\u5f0f\u5b50\u5173\u4e8ep\u7684\u5bfc\u6570\uff0c\u7136\u540e\u60f3\u76f4\u63a5\u7528\u6570\u5b66\u65b9\u6cd5\u6c42\u51fa\u6700\u5927\u503c\uff0c\u5931\u8d25\u4e86\u3002\u3002
\u4e0d\u8fc7\u6211\u6839\u636e\u6570\u5b66\u89c2\u5bdf\u53d1\u73b0\u8fd9\u4e2a\u5bfc\u6570\u662f\u5355\u8c03\u9012\u51cf\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\u8fd9\u4e2a\u51fd\u6570\u662f\u5355\u5cf0\u7684\uff0c
\u4e8e\u662f\u5c31\u53ef\u4ee5\u4e8c\u5206\u641c\u7d22\u51fa\u6700\u5927\u503c\u56e7\u3002\u3002\u3002
\u989d\u3002\u3002\u770b\u6765\u524d\u6bb5\u65f6\u95f4\u82e6\u5b66\u6570\u5b66\u4e5f\u662f\u6709\u597d\u5904\u7684\u56e7\u3002\u3002\u3002
Code\uff1a
#include <algorithm>
#include <cstdio>
#include <iostream>
#include <cmath>
#define rep(i,n) for(int i=0;i<n;i++)
#define pb push_back
using namespace std;
const int maxn=100+1,inf=~0U>>2;
int n,a;double b,F[maxn];
int main()
{
\/\/freopen("in","r",stdin);
for(int num=1;;num++)
{
cin>>n>>a>>b;if(!n)break;
F[0]=a;n–;
for(int i=1;i<=n;i++)
{
int l=a+1,r=inf;
#define get(p) (p-F[i-1])\/(1+pow(p-a,b))
while(l+1<r)
{
int m=(l+r)\/2;
if(get(m+1)-get(m)>=0)
l=m;
else
r=m;
}
F[i]=max(get(l),get(r))+F[i-1];
}
printf("Case %d: %0.2lfn",num,F[n]);
}
} <\/p>\n","protected":false},"excerpt":{"rendered":"

acmicpc-live-archive.uva.es\/nuevoportal\/\u9898\u76ee\u5728UVA\u4e0a\u3002\u3002\u3002\u8fd9\u9053\u9898\u9996\u5148\u53ef\u4ee5\u5217\u4e2aDp\u65b9\u7a0b\u51fa\u6765\u8bbeF[n]\u4e3a\u8fd8\u6709n\u6b21\u5c31\u8981\u4ee5a\u4ef7\u683c\u5356\u51fa\u7684\u6700\u5927\u671f\u671b\u6536\u5165\uff0c\u90a3\u4e48F[n]=Max{ (p-F[n-1])\/(1+(p-a)^b) }+F[n-1]…p\u4e3a\u5927\u4e8ea\u7684\u6574\u6570\u3002\u3002\u7531\u4e8e\u51b3\u7b56\u6709\u65e0\u9650\u4e2a\u3002\u3002\u4e00\u822c\u7684Dp\u90fd\u60b2\u5267\u4e86\u3002\u3002\u4e00\u5f00\u59cb\u6211\u7528\u5fae\u79ef\u5206\u7b97\u51fa\u8fd9\u4e2a\u5f0f\u5b50\u5173\u4e8ep\u7684\u5bfc\u6570\uff0c\u7136\u540e\u60f3\u76f4\u63a5\u7528\u6570\u5b66\u65b9\u6cd5\u6c42\u51fa\u6700\u5927\u503c\uff0c\u5931\u8d25\u4e86\u3002\u3002\u4e0d\u8fc7\u6211\u6839\u636e\u6570\u5b66\u89c2\u5bdf\u53d1\u73b0\u8fd9\u4e2a\u5bfc\u6570\u662f\u5355\u8c03\u9012\u51cf\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4\u8fd9\u4e2a\u51fd\u6570\u662f\u5355\u5cf0\u7684\uff0c\u4e8e\u662f\u5c31\u53ef\u4ee5\u4e8c\u5206\u641c\u7d22\u51fa\u6700\u5927\u503c\u56e7\u3002\u3002\u3002\u989d\u3002\u3002\u770b\u6765\u524d\u6bb5\u65f6\u95f4\u82e6\u5b66\u6570\u5b66\u4e5f\u662f\u6709\u597d\u5904\u7684\u56e7\u3002\u3002\u3002Code\uff1a#include <algorithm>#include <cstdio>#include <iostream>#include <cmath>#define rep(i,n) for(int i=0;i<n;i++)#define pb push_backusing namespace std;const int maxn=100+1,inf=~0U>>2;int n,a;double b,F[maxn];int main(){ \/\/freopen("in","r",stdin); for(int num=1;;num++) { cin>>n>>a>>b;if(!n)break; F[0]=a;n–; for(int i=1;i<=n;i++) { int l=a+1,r=inf; #define get(p) (p-F[i-1])\/(1+pow(p-a,b)) while(l+1<r) { int m=(l+r)\/2; if(get(m+1)-get(m)>=0) l=m; else r=m; } F[i]=max(get(l),get(r))+F[i-1]; } printf("Case %d: %0.2lfn",num,F[n]); }}<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/232"}],"collection":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=232"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/232\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=232"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=232"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}