poj2398计算几何叉积
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
A line consisting of a single 0 terminates the input.
Output
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
和poj2318几乎一模一样,就是要排个序,二分就行了,判断二分状态用叉积
#include<map>
#include<set>
#include<list>
#include<cmath>
#include<queue>
#include<stack>
#include<vector>
#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#define pi acos(-1)
#define ll long long
#define mod 1000000007 using namespace std; const int N=,maxn=,inf=0x3f3f3f3f; struct point{
int x,y;
};
struct line{
point a,b;
}l[N];
int num[N],n,m,res[N]; bool comp(const line &u,const line &v)
{
if(u.a.x!=v.a.x)return u.a.x<v.a.x;
return u.a.y<v.a.y;
}
bool ok(int m,int x,int y)
{
float f=(l[m].b.x-l[m].a.x)*(y-l[m].a.y)-(l[m].b.y-l[m].a.y)*(x-l[m].a.x);
if(f>)return ;
return ;
}
void Bsearch(int u,int v)
{
int l=,r=n+;
for(int i=;i<;i++)
{
int mid=(l+r)/;
if(ok(mid,u,v))l=mid;
else r=mid;
}
num[l]++;
}
int main()
{
while(cin>>n,n){
memset(num,,sizeof(num));
cin>>m>>l[].a.x>>l[].a.y>>l[n+].b.x>>l[n+].b.y;
for(int i=;i<=n;i++)
{
cin>>l[i].a.x>>l[i].b.x;
l[i].a.y=l[].a.y;
l[i].b.y=l[n+].b.y;
}
sort(l,l+n+,comp);
for(int i=;i<m;i++)
{
int u,v;
cin>>u>>v;
Bsearch(u,v);
}
cout<<"Box"<<endl;
memset(res,,sizeof(res));
for(int i=;i<=n;i++)res[num[i]]++;
for(int i=;i<=n;i++)
if(res[i]!=)
cout<<i<<": "<<res[i]<<endl;
}
return ;
}
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