A61598. (矩形计数)平面上有n个关键点,求有多少个四条边都和x轴或者y轴平行的矩形,满足四个顶点都是关键点。给出的关键点可能有重复,但完全重合的矩形只计一次。试补全枚举算法。#include <iostream>
编程题
知识点
题目描述
(矩形计数)平面上有n个关键点,求有多少个四条边都和x轴或者y轴平行的矩形,满足四个顶点都是关键点。给出的关键点可能有重复,但完全重合的矩形只计一次。试补全枚举算法。
#include <iostream>
using namespace std;
struct point {
int x, y, id;
};
bool equals(point a, point b){
return a.x== b.x && a.y == b.y;
}
bool cmp (point a,point b){
return a.x!=b.x?a.x<b.x:a.y<b.y;
}
void sort(point A[], int n){
for (int i = 0; i < n; i++)
for (int j = 1;j < n; j++)
if (cmp(A[j],A[j-1])) {
point t = A[j];
A[j] =A[j-1];
A[j -1] =t;
}
}
int unique (point A[],int n){
int t= 0;
for(int i= 0; i < n; i++)
if(②)
A[t++]=A[i];
return t;
}
bool binary_search(point A[], int n, int x ,int y){
point p;
p.x = x;
p.y = y;
p.id = n;
int a =0, b = n-1;
while (a < b){
int mid = ③;
if (④)
a = mid + 1;
else
b = mid;
}
return equals(A[a] , p);
}
const int MAXN = 1000;
point A [MAXN];
int main() {
int n;
cin >> n;
for (int i = 0; i < n; i++){
cin >> A[i].x >> A[i].y;
A[i].id = i;
}
sort(A,n);
n = unique(A , n);
int ans = 0;
for(int i = 0; i < n; i++)
for (int j = 0; j < n; j++)
if(⑤ && binary_search (A, n, A[i].x,A[j].y) &&
binary_search(A, n, A[j].x, A[i].y)){
ans++;
}
cout << ans << endl;
return 0;
}