Parallelogram Counting
| Time Limit: 5000MS | Memory Limit: 65536K | |
| Total Submissions: 6895 | Accepted: 2423 |
Description
There are n distinct points in the plane, given by their integer coordinates. Find the number of parallelograms whose vertices lie on these points. In other words, find the number of 4-element subsets of these points that can be written as {A, B, C, D} such that AB || CD, and BC || AD. No four points are in a straight line.
Input
The first line of the input contains a single integer t (1 <= t <= 10), the number of test cases. It is followed by the input data for each test case.
The first line of each test case contains an integer n (1 <= n <= 1000). Each of the next n lines, contains 2 space-separated integers x and y (the coordinates of a point) with magnitude (absolute value) of no more than 1000000000.
The first line of each test case contains an integer n (1 <= n <= 1000). Each of the next n lines, contains 2 space-separated integers x and y (the coordinates of a point) with magnitude (absolute value) of no more than 1000000000.
Output
Output should contain t lines.
Line i contains an integer showing the number of the parallelograms as described above for test case i.
Line i contains an integer showing the number of the parallelograms as described above for test case i.
Sample Input
2 6 0 0 2 0 4 0 1 1 3 1 5 1 7 -2 -1 8 9 5 7 1 1 4 8 2 0 9 8
Sample Output
5 6
思路:
没有思路。
暴力:TLE
hash:TLE
直接怀疑人生。
在此之间,我甚至怀疑了POJ是不是卡了我的map,后来改成模拟链表。。。。TLE!!
我。。。。。
TLE代码之一:
#include<iostream>
#include<cstring>
#include<cstdio>
using namespace std;
typedef unsigned long long ll;
const int maxn = 1024;
ll x[maxn],y[maxn];
ll state[1000086];
int head[maxn];
int num[maxn],Next[1000086];
int main()
{
int n,T;
ll sd;
scanf("%d",&T);
while(T--){
int ans=0;
scanf("%d",&n);
memset(head,-1,sizeof(head));
int t=0;
for(int i=1;i<=n;i++){
scanf("%lld%lld",&x[i],&y[i]);
for(int j=1;j<i;j++){
sd=(x[i]+x[j])*10000009+y[i]+y[j];
int h=sd%maxn;
for(int k=head[h];k!=-1;k=Next[k]){
if(state[k]==sd){ans++;}
}
t++;
state[t]=sd;
Next[t]=head[h];
head[h]=t;
}
}
printf("%d
",ans);
}
}