{"id":174,"date":"2010-03-20T22:28:00","date_gmt":"2010-03-20T14:28:00","guid":{"rendered":"http:\/\/localhost\/?p=174"},"modified":"2010-03-20T22:28:00","modified_gmt":"2010-03-20T14:28:00","slug":"scoi2009_birthday_gift","status":"publish","type":"post","link":"https:\/\/www.shuizilong.com\/wjmzbmr\/?p=174","title":{"rendered":"[SCOI2009]\u751f\u65e5\u793c\u7269"},"content":{"rendered":"\n

[SCOI2009]\u751f\u65e5\u793c\u7269<\/p>\n

Time Limit:10000MS  Memory Limit:165536K
Total Submit:42 Accepted:22
Case Time Limit:1000MS<\/p>\n

Description <\/strong><\/p>\n

\u5c0f\u897f\u6709\u4e00\u6761\u5f88\u957f\u7684\u5f69\u5e26\uff0c\u5f69\u5e26\u4e0a\u6302\u7740\u5404\u5f0f\u5404\u6837\u7684\u5f69\u73e0\u3002\u5df2\u77e5\u5f69\u73e0\u6709N\u4e2a\uff0c\u5206\u4e3aK\u79cd\u3002\u7b80\u5355\u7684\u8bf4\uff0c\u53ef\u4ee5\u5c06\u5f69\u5e26\u8003\u8651\u4e3ax\u8f74\uff0c\u6bcf\u4e00\u4e2a\u5f69\u73e0\u6709\u4e00\u4e2a\u5bf9\u5e94\u7684\u5750\u6807(\u5373 \u4f4d\u7f6e)\u3002\u67d0\u4e9b\u5750\u6807\u4e0a\u53ef\u4ee5\u6ca1\u6709\u5f69\u73e0\uff0c\u4f46\u591a\u4e2a\u5f69\u73e0\u4e5f\u53ef\u4ee5\u51fa\u73b0\u5728\u540c\u4e00\u4e2a\u4f4d\u7f6e\u4e0a\u3002
\u5c0f\u5e03\u751f\u65e5\u5feb\u5230\u4e86\uff0c\u4e8e\u662f\u5c0f\u897f\u6253\u7b97\u526a\u4e00\u6bb5\u5f69\u5e26\u9001\u7ed9\u5c0f\u5e03\u3002\u4e3a\u4e86\u8ba9\u793c\u7269\u5f69\u5e26\u8db3\u591f\u6f02\u4eae\uff0c\u5c0f\u897f\u5e0c\u671b\u8fd9\u4e00\u6bb5\u5f69\u5e26\u4e2d\u80fd\u5305\u542b\u6240\u6709\u79cd\u7c7b\u7684\u5f69\u73e0\u3002\u540c\u65f6\uff0c\u4e3a\u4e86\u65b9\u4fbf\uff0c\u5c0f\u897f\u5e0c \u671b\u8fd9\u6bb5\u5f69\u5e26\u5c3d\u53ef\u80fd\u77ed\uff0c\u4f60\u80fd\u5e2e\u52a9\u5c0f\u897f\u8ba1\u7b97\u8fd9\u4e2a\u6700\u77ed\u7684\u957f\u5ea6\u4e48\uff1f\u5f69\u5e26\u7684\u957f\u5ea6\u5373\u4e3a\u5f69\u5e26\u5f00\u59cb\u4f4d\u7f6e\u5230\u7ed3\u675f\u4f4d\u7f6e\u7684\u4f4d\u7f6e\u5dee\u3002 <\/p>\n

Input <\/strong><\/p>\n

\u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570N, K\uff0c\u5206\u522b\u8868\u793a\u5f69\u73e0\u7684\u603b\u6570\u4ee5\u53ca\u79cd\u7c7b\u6570\u3002\u63a5\u4e0b\u6765K\u884c\uff0c\u6bcf\u884c\u7b2c\u4e00\u4e2a\u6570\u4e3aTi\uff0c\u8868\u793a\u7b2ci\u79cd\u5f69\u73e0\u7684\u6570\u76ee\u3002\u63a5\u4e0b\u6765\u6309\u5347\u5e8f\u7ed9\u51faTi\u4e2a\u975e\u8d1f\u6574\u6570\uff0c\u4e3a\u8fd9Ti\u4e2a\u5f69\u73e0\u5206\u522b\u51fa\u73b0\u7684 \u4f4d\u7f6e\u3002 <\/p>\n

Output <\/strong><\/p>\n

\u5e94\u5305\u542b\u4e00\u884c\uff0c\u4e3a\u6700\u77ed\u5f69\u5e26\u957f\u5ea6\u3002 <\/p>\n

Sample Input <\/strong><\/p>\n

6 3
1 5
2 1 7
3 1 3 8<\/p>\n

Sample Output <\/strong><\/p>\n

3<\/p>\n

Hint <\/strong><\/p>\n

\u6709\u591a\u79cd\u65b9\u6848\u53ef\u9009\uff0c\u5176\u4e2d\u6bd4\u8f83\u77ed\u7684\u662f1~5\u548c5~8\u3002\u540e\u8005\u957f\u5ea6\u4e3a3\u6700\u77ed\u3002
\u3010\u6570\u636e\u89c4\u6a21\u3011
\u5bf9\u4e8e50%\u7684\u6570\u636e\uff0c N\u226410000\uff1b
\u5bf9\u4e8e80%\u7684\u6570\u636e\uff0c N\u2264800000\uff1b
\u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c1\u2264N\u22641000000\uff0c1\u2264K\u226460\uff0c0\u2264\u5f69\u73e0\u4f4d\u7f6e<2^31\u3002 <\/p>\n

Source <\/strong><\/p>\n

61.187.179.132:8080\/JudgeOnline\/showproblem<\/a>
\u989d\u3002\u3002\u7b97\u6cd5\u662f\u5f88\u597d\u60f3\u7684\uff0c\u5c31\u662f\u4ece\u5c0f\u5230\u5927\u679a\u4e3e\u6bcf\u4e2a\u4f4d\u7f6e\uff0c\u7136\u540e\u627e\u51fa\u6bcf\u79cd\u989c\u8272\u5728\u5b83\u540e\u9762\u7684\u7b2c\u4e00\u4e2a\u7136\u540e\u53d6\u5176\u4e2d\u6700\u5927\u7684\u90a3\u4e2a\u66f4\u65b0\u7b54\u6848\u3002\u3002\u6211\u65e9\u4e0a\u5c31\u60f3\u51fa\u6765\u4e86\u56e7\u3002\u3002
\u4e00\u5f00\u59cb\u6211\u60f3\u7684\u7b97\u6cd5\u662fNK\u7684\u3002\u3002\u8d85\u7684\u5f88\u5389\u5bb3\u56e7\u3002\u3002
\u540e\u6765\u6211\u60f3\u7528\u4e00\u4e2aset\u6765\u4fdd\u5b58\u6240\u6709\u989c\u8272\u5927\u4e8e\u5f53\u524d\u4f4d\u7f6e\u7684\u6700\u5c0f\u4f4d\u7f6e\uff0c\u7136\u540e\u8fd0\u7528set\u7684\u627e\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u64cd\u4f5c\uff0c\u5c31\u5f88\u65b9\u4fbf\u4e86\u3002\u6bcf\u6b21\u770bset\u4e2d\u7684\u6700\u5c0f\u503c\u662f\u4e0d\u662f\u5c0f\u4e8e\u5f53\u524d\u4f4d\u7f6e\uff0c\u662f\u7684\u8bdd\u540e\u79fb\u8fd9\u4e2a\u503c\u3002\u5c31\u662fNLogK\u4e86\u3002\u3002\u53ef\u60dc\u6781\u9650\u6570\u636e\u89811.6S\u3002\u8fd8\u662f\u8d85\u65f6\u3002\u3002
\u6211\u53c8\u4f18\u5316\u4e86\u4e00\u4e0b\u8fd8\u662f\u8d85\u65f6\uff0c\u6ca1\u529e\u6cd5\u53ea\u597d\u5148\u653e\u7740\u4e86\u3002\u3002
\u73b0\u5728\u7a81\u7136\u53d1\u73b0\u7531\u4e8e\u6700\u5927\u503c\u80af\u5b9a\u662f\u9012\u589e\u7684\uff0c\u6240\u4ee5\u63d2\u5165\u7684\u65f6\u5019\u66f4\u65b0\u4e00\u4e0b\u5c31OK\u4e86\u3002\u771f\u6b63\u53ea\u9700\u8981\u77e5\u9053\u6700\u5c0f\u503c\uff0c\u90a3\u4e48\u7528\u4e00\u4e2aheap\u5c31\u53ef\u4ee5\u4e86\u3002\u3002\u4e3a\u4e86\u65b9\u4fbf\u7f16\u7a0b\u6211\u7528\u4e86priority_queue
Code:
#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cmath>
#include<cstdlib>
#include<cstring>
#include<string>
#include<vector>
#include<set>
#include<queue>
#include<map>
#include<ctime>
#define rep(i,n) for(int i=0;i<n;i++)
#define all(x) x.begin(),x.end()
#define pb push_back
using namespace std;
const int inf=~0U>>1,maxn=1000000,maxk=60;
typedef vector<int> vi;
typedef vi::iterator it;
vi A,S[maxk];
int n,k;
void Init()
{
cin>>n>>k;A.resize(n);it nowA=A.begin();
rep(i,k)
{
int t,x;scanf("%d",&t);S[i].resize(t+1);it nowS=S[i].begin();
rep(j,t)scanf("%d",&x),(*nowA++)=(*nowS++)=x;
*nowS++=inf;
}
}
struct cmp
{
bool operator()(const it&a,const it&b)const
{return *a>*b;}
};
void Work()
{
int s=clock();
sort(all(A));
int ans=inf,Max=0;
priority_queue<it,vector<it>,cmp> Q;
rep(i,k)Q.push(S[i].begin()),Max=max(Max,*S[i].begin());
rep(i,n)
{
int t=A[i];
while(*Q.top()<t)
{
it j=Q.top();Q.pop();
Max=max(Max,*++j);
if(Max==inf)break;
Q.push(j);
}
if(Max==inf)break;
ans=min(ans,Max-t);
}
cout<<ans<<endl;
}
int main()
{
\/\/freopen("in","r",stdin);
int s=clock();
Init();
Work();
}<\/p>\n","protected":false},"excerpt":{"rendered":"

[SCOI2009]\u751f\u65e5\u793c\u7269 Time Limit:10000MS  Memory Limit:165536KTotal Submit:42 Accepted:22 Case Time Limit:1000MS Description \u5c0f\u897f\u6709\u4e00\u6761\u5f88\u957f\u7684\u5f69\u5e26\uff0c\u5f69\u5e26\u4e0a\u6302\u7740\u5404\u5f0f\u5404\u6837\u7684\u5f69\u73e0\u3002\u5df2\u77e5\u5f69\u73e0\u6709N\u4e2a\uff0c\u5206\u4e3aK\u79cd\u3002\u7b80\u5355\u7684\u8bf4\uff0c\u53ef\u4ee5\u5c06\u5f69\u5e26\u8003\u8651\u4e3ax\u8f74\uff0c\u6bcf\u4e00\u4e2a\u5f69\u73e0\u6709\u4e00\u4e2a\u5bf9\u5e94\u7684\u5750\u6807(\u5373 \u4f4d\u7f6e)\u3002\u67d0\u4e9b\u5750\u6807\u4e0a\u53ef\u4ee5\u6ca1\u6709\u5f69\u73e0\uff0c\u4f46\u591a\u4e2a\u5f69\u73e0\u4e5f\u53ef\u4ee5\u51fa\u73b0\u5728\u540c\u4e00\u4e2a\u4f4d\u7f6e\u4e0a\u3002 \u5c0f\u5e03\u751f\u65e5\u5feb\u5230\u4e86\uff0c\u4e8e\u662f\u5c0f\u897f\u6253\u7b97\u526a\u4e00\u6bb5\u5f69\u5e26\u9001\u7ed9\u5c0f\u5e03\u3002\u4e3a\u4e86\u8ba9\u793c\u7269\u5f69\u5e26\u8db3\u591f\u6f02\u4eae\uff0c\u5c0f\u897f\u5e0c\u671b\u8fd9\u4e00\u6bb5\u5f69\u5e26\u4e2d\u80fd\u5305\u542b\u6240\u6709\u79cd\u7c7b\u7684\u5f69\u73e0\u3002\u540c\u65f6\uff0c\u4e3a\u4e86\u65b9\u4fbf\uff0c\u5c0f\u897f\u5e0c \u671b\u8fd9\u6bb5\u5f69\u5e26\u5c3d\u53ef\u80fd\u77ed\uff0c\u4f60\u80fd\u5e2e\u52a9\u5c0f\u897f\u8ba1\u7b97\u8fd9\u4e2a\u6700\u77ed\u7684\u957f\u5ea6\u4e48\uff1f\u5f69\u5e26\u7684\u957f\u5ea6\u5373\u4e3a\u5f69\u5e26\u5f00\u59cb\u4f4d\u7f6e\u5230\u7ed3\u675f\u4f4d\u7f6e\u7684\u4f4d\u7f6e\u5dee\u3002 Input \u7b2c\u4e00\u884c\u5305\u542b\u4e24\u4e2a\u6574\u6570N, K\uff0c\u5206\u522b\u8868\u793a\u5f69\u73e0\u7684\u603b\u6570\u4ee5\u53ca\u79cd\u7c7b\u6570\u3002\u63a5\u4e0b\u6765K\u884c\uff0c\u6bcf\u884c\u7b2c\u4e00\u4e2a\u6570\u4e3aTi\uff0c\u8868\u793a\u7b2ci\u79cd\u5f69\u73e0\u7684\u6570\u76ee\u3002\u63a5\u4e0b\u6765\u6309\u5347\u5e8f\u7ed9\u51faTi\u4e2a\u975e\u8d1f\u6574\u6570\uff0c\u4e3a\u8fd9Ti\u4e2a\u5f69\u73e0\u5206\u522b\u51fa\u73b0\u7684 \u4f4d\u7f6e\u3002 Output \u5e94\u5305\u542b\u4e00\u884c\uff0c\u4e3a\u6700\u77ed\u5f69\u5e26\u957f\u5ea6\u3002 Sample Input 6 31 52 1 73 1 3 8 Sample Output 3 Hint \u6709\u591a\u79cd\u65b9\u6848\u53ef\u9009\uff0c\u5176\u4e2d\u6bd4\u8f83\u77ed\u7684\u662f1~5\u548c5~8\u3002\u540e\u8005\u957f\u5ea6\u4e3a3\u6700\u77ed\u3002 \u3010\u6570\u636e\u89c4\u6a21\u3011 \u5bf9\u4e8e50%\u7684\u6570\u636e\uff0c N\u226410000\uff1b \u5bf9\u4e8e80%\u7684\u6570\u636e\uff0c N\u2264800000\uff1b \u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c1\u2264N\u22641000000\uff0c1\u2264K\u226460\uff0c0\u2264\u5f69\u73e0\u4f4d\u7f6e<2^31\u3002 Source 61.187.179.132:8080\/JudgeOnline\/showproblem\u989d\u3002\u3002\u7b97\u6cd5\u662f\u5f88\u597d\u60f3\u7684\uff0c\u5c31\u662f\u4ece\u5c0f\u5230\u5927\u679a\u4e3e\u6bcf\u4e2a\u4f4d\u7f6e\uff0c\u7136\u540e\u627e\u51fa\u6bcf\u79cd\u989c\u8272\u5728\u5b83\u540e\u9762\u7684\u7b2c\u4e00\u4e2a\u7136\u540e\u53d6\u5176\u4e2d\u6700\u5927\u7684\u90a3\u4e2a\u66f4\u65b0\u7b54\u6848\u3002\u3002\u6211\u65e9\u4e0a\u5c31\u60f3\u51fa\u6765\u4e86\u56e7\u3002\u3002\u4e00\u5f00\u59cb\u6211\u60f3\u7684\u7b97\u6cd5\u662fNK\u7684\u3002\u3002\u8d85\u7684\u5f88\u5389\u5bb3\u56e7\u3002\u3002\u540e\u6765\u6211\u60f3\u7528\u4e00\u4e2aset\u6765\u4fdd\u5b58\u6240\u6709\u989c\u8272\u5927\u4e8e\u5f53\u524d\u4f4d\u7f6e\u7684\u6700\u5c0f\u4f4d\u7f6e\uff0c\u7136\u540e\u8fd0\u7528set\u7684\u627e\u6700\u5927\u503c\u548c\u6700\u5c0f\u503c\u64cd\u4f5c\uff0c\u5c31\u5f88\u65b9\u4fbf\u4e86\u3002\u6bcf\u6b21\u770bset\u4e2d\u7684\u6700\u5c0f\u503c\u662f\u4e0d\u662f\u5c0f\u4e8e\u5f53\u524d\u4f4d\u7f6e\uff0c\u662f\u7684\u8bdd\u540e\u79fb\u8fd9\u4e2a\u503c\u3002\u5c31\u662fNLogK\u4e86\u3002\u3002\u53ef\u60dc\u6781\u9650\u6570\u636e\u89811.6S\u3002\u8fd8\u662f\u8d85\u65f6\u3002\u3002\u6211\u53c8\u4f18\u5316\u4e86\u4e00\u4e0b\u8fd8\u662f\u8d85\u65f6\uff0c\u6ca1\u529e\u6cd5\u53ea\u597d\u5148\u653e\u7740\u4e86\u3002\u3002\u73b0\u5728\u7a81\u7136\u53d1\u73b0\u7531\u4e8e\u6700\u5927\u503c\u80af\u5b9a\u662f\u9012\u589e\u7684\uff0c\u6240\u4ee5\u63d2\u5165\u7684\u65f6\u5019\u66f4\u65b0\u4e00\u4e0b\u5c31OK\u4e86\u3002\u771f\u6b63\u53ea\u9700\u8981\u77e5\u9053\u6700\u5c0f\u503c\uff0c\u90a3\u4e48\u7528\u4e00\u4e2aheap\u5c31\u53ef\u4ee5\u4e86\u3002\u3002\u4e3a\u4e86\u65b9\u4fbf\u7f16\u7a0b\u6211\u7528\u4e86priority_queueCode:#include<iostream>#include<cstdio>#include<algorithm>#include<cmath>#include<cstdlib>#include<cstring>#include<string>#include<vector>#include<set>#include<queue>#include<map>#include<ctime>#define rep(i,n) for(int i=0;i<n;i++)#define all(x) x.begin(),x.end()#define pb push_backusing namespace std;const int inf=~0U>>1,maxn=1000000,maxk=60;typedef […]<\/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\/174"}],"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=174"}],"version-history":[{"count":0,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=\/wp\/v2\/posts\/174\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=174"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=174"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.shuizilong.com\/wjmzbmr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=174"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}