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poj 3714 Raid

程序员文章站 2022-05-09 10:05:13
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最近点对算法的变形(看别人写的)
两个集合可以放在一起,只要在在跨左右集合寻找最近点的时候判断一下是否都是agent或者都是pow station 就行了。(听说数据很水,我写的也很水)。

题源

#include<iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <vector>
using namespace std;
const int MAX = 1e6;
struct node
{
	double x, y;
	int sign;
};
node num[MAX] = { 0 };
int n;
bool cmp_x(node x, node y)
{
	return x.x < y.x;
}
bool cmp_y(node x, node y)
{
	return x.y < y.y;
}
double dis(node x, node y)
{
	return sqrt(abs(x.y - y.y) * abs(x.y - y.y) + abs(x.x - y.x)  * abs(x.x - y.x));
}
double solve(int lf,int rt)
{
	if (lf == rt) return 9999999999;
	if (lf + 1 == rt) if (num[lf].sign == num[rt].sign) return 999999999;else  return dis(num[lf], num[rt]);
	//if (lf + 2 == rt) return min(dis(num[lf], num[rt]), min(dis(num[lf],num[lf + 1]), dis(num[lf + 1],num[rt])));
	int mid = ((lf + rt) >> 1);
	double tmp = min(solve(lf, mid), solve(mid + 1, rt));//cout << " tmp   " << tmp << endl;
	vector<node> v;
	for (int i = lf; i <= rt; i++)
	{
		if (num[i].x >= mid - tmp && num[i].x <= mid + tmp)
			v.push_back(num[i]);
	}
	sort(v.begin(), v.end(), cmp_y);
	double k = tmp;
	for (int i = 0; i < v.size(); i++)
	{
		for (int j = 1; j < v.size() && abs(v[i].y-v[j].y) < k; j++)
		{
			if (i != j && v[i].sign != v[j].sign)
				tmp = min(tmp, dis(v[i], v[j]));
		}
	}
	return tmp;
}
int main()
{
	int t; cin >> t;
	while (t--)
	{
		cin >> n;
		for (int i = 1; i <= n; i++) {
			scanf_s("%lf%lf", &num[i].x, &num[i].y); num[i].sign = 1;
		}
		for (int i = n+1; i <= 2 * n; i++)
		{
			scanf_s("%lf%lf", &num[i].x, &num[i].y); num[i].sign = 2;
		}
		sort(num + 1, num + n * 2 + 1, cmp_x);
		printf("%.3lf\n", solve(1,n * 2));
	}
	return 0;
}