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poj 2398 Toy Storage

2013年01月06日 ⁄ 综合 ⁄ 共 2574字 ⁄ 字号 评论关闭

Toy Storage
Time Limit: 1000MS   Memory Limit: 65536KB   64bit IO Format: %I64d & %I64u

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Description

Mom and dad have a problem: their child, Reza, never puts his toys away when he is finished playing with them. They gave Reza a rectangular box to put his toys in. Unfortunately, Reza is rebellious and obeys his parents by simply throwing his toys into the
box. All the toys get mixed up, and it is impossible for Reza to find his favorite toys anymore. 
Reza's parents came up with the following idea. They put cardboard partitions into the box. Even if Reza keeps throwing his toys into the box, at least toys that get thrown into different partitions stay separate. The box looks like this from the top: 


We want for each positive integer t, such that there exists a partition with t toys, determine how many partitions have t, toys.

Input

The input consists of a number of cases. The first line consists of six integers n, m, x1, y1, x2, y2. The number of cardboards to form the partitions is n (0 < n <= 1000) and the number of toys is given in m (0 < m <= 1000). The coordinates of the upper-left
corner and the lower-right corner of the box are (x1, y1) and (x2, y2), respectively. The following n lines each consists of two integers Ui Li, indicating that the ends of the ith cardboard is at the coordinates (Ui, y1) and (Li, y2). You may assume that
the cardboards do not intersect with each other. The next m lines each consists of two integers Xi Yi specifying where the ith toy has landed in the box. You may assume that no toy will land on a cardboard. 

A line consisting of a single 0 terminates the input.

Output

For each box, first provide a header stating "Box" on a line of its own. After that, there will be one line of output per count (t > 0) of toys in a partition. The value t will be followed by a colon and a space, followed the number of partitions containing
t toys. Output will be sorted in ascending order of t for each box.

Sample Input

4 10 0 10 100 0
20 20
80 80
60 60
40 40
5 10
15 10
95 10
25 10
65 10
75 10
35 10
45 10
55 10
85 10
5 6 0 10 60 0
4 3
15 30
3 1
6 8
10 10
2 1
2 8
1 5
5 5
40 10
7 9
0

Sample Output

Box
2: 5
Box
1: 4
2: 1

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题意:

算出每个小格中玩具的数目,数出各种玩具数目(>0)的小格数

分析:

二分查找+叉积

跟上一题基本一样



点,线,面,形基本关系,点积叉积的理解

Source Code


Problem: B   User: sdau_09_zys
Memory: 260 KB   Time: 0 MS
Language: C++   Result: Accepted
Public:  

#include<iostream>
#include<cstring>
#include<cstdio>
#include<algorithm>
using namespace std;
class T
{
public:
    int x1,x2;
};
bool cmp(T a,T b)
{
    return a.x2<=b.x2;
}
T toy[1005];
int g[1005],p[1005];
int y1,y2,n,m,x,y,t;
int f(int x1,int x2)
{
    int f1=(toy[x1].x2-x)*(y1-y)-(y2-y)*(toy[x1].x1-x);
    int f2=(toy[x2].x2-x)*(y1-y)-(y2-y)*(toy[x2].x1-x);
    if(f1<0&&f2>0) return 0;
    else if(f1>0) return -1;//直线左
    else return 1;          //直线右
}
void solve(int left,int right)
{
    int mid=(left+right)/2;
    int k=f(mid,mid+1);
    if(k==0) {t=mid;return ;}
    else if(k<0)solve(left,mid);
    else solve(mid+1,right);
}
int main()
{
    while(1)
    {
        int i<

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