1557. Can you answer these queries II

Problem code: GSS2

Being a completist and a simplist, kid Yang Zhe cannot solve but
get Wrong Answer from most of the OI problems. And he refuse to
write two program of same kind at all. So he always failes in
contests.

When having a contest, Yang Zhe looks at the score of every
problems first. For the problems of the same score, Yang Zhe will
do only one of them. If he's lucky enough, he can get all the scores
wanted.

Amber is going to hold a contest in SPOJ. She has made a list of
N candidate problems, which fit Yang Zhe very well. So Yang
Zhe can solve any problem he want. Amber lined up the problems,
began to select. She will select a subsequence of the list as the
final problems. Being A girl of great compassion, she'd like to
select such a subsequence (can be empty) that Yang Zhe will get the
maximal score over all the possible subsequences.

Amber found the subsequence easily after a few minutes. To make
things harder, Amber decided that, Yang Zhe can take this contest
only if Yang Zhe can answer her Q questions. The question is:
if the final problems are limited to be a subsequence
of list[X..Y] (1 <= X <= Y <= N),
what's the maximal possible score Yang Zhe can get?

As we know, Yang Zhe is a bit idiot (so why did he solve the
problem with a negative score?), he got Wrong Answer again... Tell
him the correct answer!

Input

  • Line 1: integer N (1 <= N <= 100000);
  • Line 2: N integers denoting the score of each problem,
    each of them is a integer in range [-100000, 100000];
  • Line 3: integer Q (1 <= Q <= 100000);
  • Line 3+i (1 <= i <= Q): two
    integers X and
    Y denoting the ith question.

Output

  • Line i: a single integer, the answer to the ith
    question.

Example

Input:
9
4 -2 -2 3 -1 -4 2 2 -6
3
1 2
1 5
4 9 Output:
4
5
3   见过变态的线段树,没见过这么变态的。。。。。。
  在我看来,这个线段树lazy标记的传递奇葩之处在于用到了lazy标记传递的一个隐藏的规律:即某个标记被改变意味着它上方不存在其他标记,因此一个标记下放时,其下方标记作用的时间域和此标记是没有交集的。
  我做这道题参考的题解:http://blog.csdn.net/acm_cxlove/article/details/7854526  (注意一下:那个题解的标程没开long long)
  两个lazy标记:lazy:标记代表的那一段时间区间增加的量 lazy2:对应时间区间增加量的最值
  维护两个值:mx:这个区间当前最大值 his:这个区间历史最大值
  其他参见连接题解。
#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
#define MAXQ 110000
#define MAXR 200200
#define VAL1 100100
#define MAXN 101000
#define MAXT 410000
#define lch (now<<1)
#define rch (now<<1^1)
#define INFL 0x3f3f3f3f3f3f3f3fLL
#ifdef WIN32
#define LL "%I64d"
#else
#define LL "%lld"
#endif
typedef long long qword;
int n,m;
struct node
{
int l,r;
qword mx;
qword his;
qword lazy;//delta
qword lazy2;//delta_max
}tree[MAXT];
void down(int now)
{
if (tree[now].l==tree[now].r)
{
tree[now].lazy=;
tree[now].lazy2=;
return ;
}
tree[lch].lazy2=max(tree[lch].lazy2,tree[lch].lazy+tree[now].lazy2);
tree[rch].lazy2=max(tree[rch].lazy2,tree[rch].lazy+tree[now].lazy2);
tree[lch].his=max(tree[lch].his,tree[lch].mx+tree[now].lazy2);
tree[rch].his=max(tree[rch].his,tree[rch].mx+tree[now].lazy2);
tree[lch].mx+=tree[now].lazy;
tree[rch].mx+=tree[now].lazy;
tree[lch].lazy+=tree[now].lazy;
tree[rch].lazy+=tree[now].lazy;
tree[now].lazy=;
tree[now].lazy2=;
}
void up(int now)
{
if (tree[now].l==tree[now].r)return ;
tree[now].mx=max(tree[lch].mx,tree[rch].mx);
tree[now].his=max(tree[lch].his,tree[rch].his);
}
void build_tree(int now,int l,int r)
{
tree[now].l=l;
tree[now].r=r;
tree[now].his=;
tree[now].lazy=;
tree[now].lazy2=;
tree[now].mx=;
if (l==r)
{
return ;
}
int mid=(l+r)/;
build_tree(lch,l,mid);
build_tree(rch,mid+,r);
}
void add_val(int now,int l,int r,qword z)
{
if (l==tree[now].l&&r==tree[now].r)
{
tree[now].lazy+=z;
tree[now].lazy2=max(tree[now].lazy2,tree[now].lazy);
tree[now].mx+=z;
tree[now].his=max(tree[now].mx,tree[now].his);
return ;
}
down(now);
int mid=(tree[now].l+tree[now].r)/;
if (r<=mid)
{
add_val(lch,l,r,z);
up(now);
return ;
}
if (mid<l)
{
add_val(rch,l,r,z);
up(now);
return ;
}
add_val(lch,l,mid,z);
add_val(rch,mid+,r,z);
up(now);
}
qword get_max(int now,int l,int r)
{
if (l==tree[now].l&&r==tree[now].r)
{
return tree[now].his;
}
int mid=(tree[now].l+tree[now].r)/;
down(now);
if (r<=mid)
{
return get_max(lch,l,r);
}
if (mid<l)
{
return get_max(rch,l,r);
}
qword t;
t= max(get_max(lch,l,mid),get_max(rch,mid+,r));
up(now);
return t;
}
int num[MAXN];
int rec[MAXR];
int prev[MAXN];
struct qur_t
{
int x,y,id;
qword ans;
}qur[MAXQ];
bool cmp_y(const qur_t &q1,const qur_t &q2)
{
return q1.y<q2.y;
}
bool cmp_id(const qur_t &q1,const qur_t &q2)
{
return q1.id<q2.id;
}
int main()
{
freopen("input.txt","r",stdin);
int i,j,k,x,y,z;
scanf("%d",&n);
memset(rec,-,sizeof(rec));
for (i=;i<n;i++)
{
scanf("%d",&num[i]);
prev[i]=rec[num[i]+VAL1];
rec[num[i]+VAL1]=i;
}
scanf("%d",&m);
for (i=;i<m;i++)
{
scanf("%d%d",&qur[i].x,&qur[i].y);
qur[i].x--;
qur[i].y--;
qur[i].id=i;
}
sort(qur,&qur[m],cmp_y);
int now=-;
build_tree(,,n-);
for (i=;i<m;i++)
{
while (now<qur[i].y)
{
now++;
// cout<<"Add:"<<prev[now]+1<<"~"<<now<<":"<<num[now]<<endl;
add_val(,prev[now]+,now,num[now]);
}
// cout<<"Query:"<<qur[i].x<<"~"<<qur[i].y<<endl;
qur[i].ans=get_max(,qur[i].x,qur[i].y);
}
sort(qur,&qur[m],cmp_id);
// cout<<"a"<<endl;
for(i=;i<m;i++)
{
printf(LL "\n",qur[i].ans);
}
}
 

spoj gss2 : Can you answer these queries II 离线&&线段树的更多相关文章

  1. SPOJ GSS2 - Can you answer these queries II(线段树 区间修改+区间查询)(后缀和)

    GSS2 - Can you answer these queries II #tree Being a completist and a simplist, kid Yang Zhe cannot ...

  2. SPOJ 1557 GSS2 - Can you answer these queries II (线段树+维护历史最值)

    都说这题是 GSS 系列中最难的,今天做了一下,名副其实 首先你可以想到各种各样的在线乱搞想法,线段树,主席树,平衡树,等等,但发现都不太可行. 注意到题目也没有说强制在线,因此可以想到离线地去解决这 ...

  3. SP1557 GSS2 - Can you answer these queries II(线段树)

    传送门 线段树好题 因为题目中相同的只算一次,我们可以联想到HH的项链,于是考虑离线的做法 先把所有的询问按$r$排序,然后每一次不断将$a[r]$加入线段树 线段树上维护四个值,$sum,hix,s ...

  4. bzoj 2482: [Spoj GSS2] Can you answer these queries II 线段树

    2482: [Spoj1557] Can you answer these queries II Time Limit: 20 Sec  Memory Limit: 128 MBSubmit: 145 ...

  5. SPOJ GSS2 Can you answer these queries II

    Time Limit: 1000MS   Memory Limit: 1572864KB   64bit IO Format: %lld & %llu Description Being a ...

  6. 【SPOJ - GSS2】Can you answer these queries II(线段树)

    区间连续不重复子段最大值,要维护历史的最大值和当前的最大值,打两个lazy,离线 #include<cstdio> #include<cstring> #include< ...

  7. SPOJ GSS2 Can you answer these queries II ——线段树

    [题目分析] 线段树,好强! 首先从左往右依次扫描,线段树维护一下f[].f[i]表示从i到当前位置的和的值. 然后询问按照右端点排序,扫到一个位置,就相当于查询区间历史最值. 关于历史最值问题: 标 ...

  8. Spoj 2713 Can you answer these queries IV 水线段树

    题目链接:点击打开链接 题意: 给定n长的序列 以下2个操作 0 x y 给[x,y]区间每一个数都 sqrt 1 x y 问[x, y] 区间和 #include <stdio.h> # ...

  9. Can you answer these queries? HDU 4027 线段树

    Can you answer these queries? HDU 4027 线段树 题意 是说有从1到编号的船,每个船都有自己战斗值,然后我方有一个秘密武器,可以使得从一段编号内的船的战斗值变为原来 ...

随机推荐

  1. PHP中输出缓冲

    在PHP中,当运行echo,print的时候,输出并没有马上通过tcp传给client浏览器显示, 而是将数据写入php buffer.php output_buffering机制,意味在tcp bu ...

  2. Java中List和ArrayList的区别(转)

    List是一个接口,而ListArray是一个类.  ListArray继承并实现了List.  所以List不能被构造,但可以向上面那样为List创建一个引用,而ListArray就可以被构造.  ...

  3. php通过文件头检测文件类型通用类(zip,rar…)(转)

    在做web应用时候,通过web扩展名判断上存文件类型,这个是我们常使用的.有时候我们这样做还不完善.可能有些人上存一些文件,但是他通过修改 扩展名,让在我们的文件类型之内. 单实际访问时候又不能展示( ...

  4. j2ee学习笔记 Filter过滤器

    作用:过滤response和request对象的内容 使用: Filter是J2EE的一个接口,自定义Filter需要实现该接口,并重写所有的方法. Filter提供的方法: init() doFil ...

  5. Freemarker学习中遇到的问题

    在网上找到了尚学堂的视频,同时有书和源码等资料.但是在跟着练习的过程中,代码运行报了错: 2015-7-20 22:26:40 freemarker.log.JDK14LoggerFactory$JD ...

  6. android开发之gridlayout使用入门

    这个东东以前没怎么用过,今天研究了一下,不难,感觉只是在某些方面很好用. 记录下,做个计算器. <GridLayout xmlns:android="http://schemas.an ...

  7. Prototype 原型模式

    用原型实例指定创建对象的种类,并且通过拷贝这些原型创建新的对象. 原型模式即在运行时动态的通过一个对象的实例来创建这个类的对象,可以理解成通过一个实例克隆出另一个实例. Prototype模式的一些优 ...

  8. 总结如何实现Android浮动层,主要是dialog的使用

    自定义一个类继承自Dialog类,然后在构造方法中,定义这个dialog的布局和一些初始化信息. 查看源码打印? 01 public class MenuDialog extends Dialog { ...

  9. (转)php连接mysql如何判断数据为空?

    <?php$result_a=mysql_query("select * from product_tag where product_id=$row[id]");$num ...

  10. PL/SQL 中文转换为\uxxxx格式(unicode)

    用plsql生成json的时候,经常要处理中文的情况. SELECT replace(asciistr('你好,,hello'),'\','\u') FROM dual 输出:\u4F60\u597D ...