题目大意:给出n个点,问选出4个点作为定点,能够组成多少个平行与坐标轴的矩形。

解题思路:首先将点依照x排序(优化),然后处理出全部平行于y轴的线段。记录这些线段的y1和y2,接着仅仅要找出y1和y2值均相等的边,C(2cnt).

#include <cstdio>
#include <cstring>
#include <algorithm>

using namespace std;
typedef long long ll;
const int N = 5005;

struct point {
int x, y;
void get () {
scanf("%d%d", &x, &y);
}
void set (int x, int y) {
this->x = x;
this->y = y;
}
}p[N], l[N*N/2];
int n, m;

inline bool cmp(const point& a, const point& b) {
if (a.x != b.x)
return a.x < b.x;
return a.y < b.y;
}

void init () {
scanf("%d", &n);
for (int i = 0; i < n; i++)
p[i].get();

sort(p, p + n, cmp);

m = 0;
for (int i = 0; i < n; i++) {
for (int j = i+1; j < n; j++) {
if (p[i].x != p[j].x)
break;

l[m++].set(p[i].y, p[j].y);
}
}
sort(l, l + m, cmp);
}

ll solve () {
ll ans = 0;

for (int i = 0; i < m;) {
int mv = i+1;

while (l[i].x == l[mv].x && l[i].y == l[mv].y)
mv++;

ll c = mv - i;

if (c >= 2)
ans += c * (c - 1) / 2;
i = mv;
}
return ans;
}

int main () {
int cas;
scanf("%d", &cas);
for (int i = 1; i <= cas; i++) {
init();
printf("Case %d: %lld\n", i, solve());
}
return 0;
}