NOIP2017提高组D2T1[奶酪]

题意:

一个长宽无限的立方体中有一些空洞,相交或者相接的空洞可以互相到达,跟立方体下表面相交或相切的空洞可以从下表面到达,上表面同理,问是否可以从下表面到达上表面。

题解:

建图之后floodfill,注意建图可能爆long long或者double的精度问题。

代码:

#include 
#include 
#include 
#include 
#include 
#include 

using namespace std;

const int MAXN = 1005;
const int MAXM = 1002005;

struct Edge
{
	int to;
	int next;
}edge[MAXM << 1];

int T,n,id;
int first[MAXN];

long long r,h;
long long x[MAXN];
long long y[MAXN];
long long z[MAXN];

bool mark[MAXN];

void addE(int u,int v)
{
	edge[++id] = (Edge){v,first[u]};
	first[u] = id;
}

bool dfs(int now)
{
	if (now == n + 1)
		return true;
	if (mark[now])
		return false;
	mark[now] = true;
	for (int i = first[now];i;i = edge[i].next)
		if (dfs(edge[i].to))
			return true;
	return false;
}

int main()
{
	freopen("cheese.in","r",stdin);
	freopen("cheese.out","w",stdout);
	ios::sync_with_stdio(false);
	cin >> T;
	while (T--)
	{
		memset(first,0,sizeof(first));
		memset(mark,0,sizeof(mark));
		id = 0;
		cin >> n >> h >> r;
		for (int i = 1;i <= n;i++)
		{
			cin >> x[i] >> y[i] >> z[i];
			if (z[i] < 0)
				while(1){}
			if (z[i] <= r)
				addE(0,i),addE(i,0);
			if (h - z[i] <= r)
				addE(n + 1,i),addE(i,n + 1);
		}
		r *= 2;
		for (int i = 1;i <= n;i++)
			for (int j = 1;j <= n;j++)
				if (i != j && (x[i] - x[j]) * (x[i] - x[j]) + (y[i] - y[j]) * (y[i] - y[j]) <= r * r - (z[i] - z[j]) * (z[i] - z[j]))
					addE(i,j),addE(j,i);
		cout << (dfs(0) ? "Yes" : "No") << endl;
	}
	return 0;
}


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