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---恢复内容开始---
题意:给n个点,问有多少组四个点能组成正方形。
题解:枚举两个点,通过公式算出另外两个点,然后通过哈希查找另外两个点存不存在。
//突然发现好弱,好多基础的算法竟然都不会,哈希这种经典的算法,我貌似基本没怎么做过相关的题0.0
公式是抄网上的,哈希直接用了vector存的,反正时限3500ms
点的哈希就是(x^2+y^2)%MOD
AC代码:
/**************************************
Memory: 924 KB Time: 969 MS
Language: G++ Result: Accepted
**************************************/
#include <cstdio>
#include <cstring>
#include <vector>
using namespace std;
const int MOD = 20007;
const int N = 1005;
struct Point {
int x, y;
int key;
} p[N];
int cal(int x, int y) {
return (x*x+y*y) % MOD;
}
vector<int> vec[MOD];
void insert(int x) {
vec[p[x].key].push_back(x);
}
bool find(int x, int y) {
int k = cal(x, y);
for (unsigned i = 0; i < vec[k].size(); ++i) {
int v = vec[k][i];
if (x == p[v].x && y == p[v].y) return true;
}
return false;
}
int main() {
//freopen("in", "r", stdin);
int n;
while (~scanf("%d", &n) && n) {
for (int i = 0; i < MOD; ++i) vec[i].clear();
for (int i = 0; i < n; ++i) {
scanf("%d%d", &p[i].x, &p[i].y);
p[i].key = cal(p[i].x, p[i].y);
insert(i);
}
int ans = 0;
for (int i = 0; i < n; ++i) {
for (int j = 0; j < n; ++j) {
if (i == j) continue;
int x1 = p[i].x-p[j].y+p[i].y;
int y1 = p[i].y+p[j].x-p[i].x;
int x2 = p[j].x-p[j].y+p[i].y;
int y2 = p[j].y+p[j].x-p[i].x;
if (find(x1,y1) && find(x2,y2)) ++ans;
}
}
printf("%d\n", ans/4);
}
return 0;
}
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原文地址:http://www.cnblogs.com/wenruo/p/5794781.html