链接

刚开始看n挺小,以为是二维的线段树,想了一会也没想到怎么解,之后看到z值非常小,想到可以直接枚举z,确定一个坐标,然后把三维转化为二维,把体积转化为面。

枚举z从-500到500,然后用面积并的解法求出单位z坐标上满足题意的面积。

把1写成了L,查错查了好久。其余还好,1A。

求覆盖超过两次的面积,up更新上的写法如下:

void up(int w,int l,int r)
{
if(fs[w]>)
{
s[w][] = s[w][] = s[w][] = val[r+] - val[l];
}
else if(fs[w]>)
{
s[w][] = s[w][] = val[r+]-val[l];
if(l==r)
s[w][] = ;
else s[w][] = s[w<<][]+s[w<<|][];
}
else if(fs[w])
{
s[w][] = val[r+]-val[l];
if(l==r)
s[w][] = s[w][] = ;
else
{
s[w][] = s[w<<][]+s[w<<|][];
s[w][] =s[w<<][]+s[w<<|][];
}
}
else
{
if(l==r)
s[w][] = s[w][] = s[w][] = ;
else
{
s[w][] = s[w<<][]+s[w<<|][];
s[w][] = s[w<<][]+s[w<<|][];
s[w][] = s[w<<][]+s[w<<|][];
}
}
}

代码:

 #include <iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<stdlib.h>
#include<vector>
#include<cmath>
#include<queue>
#include<set>
#include<map>
using namespace std;
#define N 2010
#define LL __int64
#define INF 0xfffffff
const double eps = 1e-;
const double pi = acos(-1.0);
const double inf = ~0u>>;
map<int,int>f;
struct node
{
int x1,x2,y,f;
int z1,z2;
node(){}
node(int x1,int x2,int y,int f,int z1,int z2):x1(x1),x2(x2),y(y),f(f),z1(z1),z2(z2){}
bool operator < (const node &S) const
{
return y<S.y;
}
}p[N],q[N];
int a[N],val[N];
int s[N<<][],fs[N<<];
void up(int w,int l,int r)
{
if(fs[w]>)
{
s[w][] = s[w][] = s[w][] = val[r+] - val[l];
}
else if(fs[w]>)
{
s[w][] = s[w][] = val[r+]-val[l];
if(l==r)
s[w][] = ;
else s[w][] = s[w<<][]+s[w<<|][];
}
else if(fs[w])
{
s[w][] = val[r+]-val[l];
if(l==r)
s[w][] = s[w][] = ;
else
{
s[w][] = s[w<<][]+s[w<<|][];
s[w][] =s[w<<][]+s[w<<|][];
}
}
else
{
if(l==r)
s[w][] = s[w][] = s[w][] = ;
else
{
s[w][] = s[w<<][]+s[w<<|][];
s[w][] = s[w<<][]+s[w<<|][];
s[w][] = s[w<<][]+s[w<<|][];
}
}
}
void build(int l,int r,int w)
{
s[w][] = s[w][] = s[w][] = ;
fs[w] = ;
if(l==r)
return ;
int m = (l+r)>>;
build(l,m,w<<);
build(m+,r,w<<|);
up(w,l,r);
}
void update(int a,int b,int d,int l,int r,int w)
{
// cout<<l<<" "<<r<<" "<<w<<endl;
if(a<=l&&b>=r)
{
fs[w]+=d;
//cout<<l<<" "<<r<<" "<<fs[w]<<" "<<w<<endl;
up(w,l,r);
return ;
}
int m = (l+r)>>;
if(a<=m) update(a,b,d,l,m,w<<);
if(b>m) update(a,b,d,m+,r,w<<|);
up(w,l,r);
}
int main()
{
int n,i,j;
int t,kk=;
cin>>t;
while(t--)
{
scanf("%d",&n);
f.clear();
int g = ;
for(i = ;i <= n; i++)
{
int x1,x2,y1,y2,z1,z2;
scanf("%d%d%d%d%d%d",&x1,&y1,&z1,&x2,&y2,&z2);
p[++g] = node(x1,x2,y1,,z1,z2);
a[g] = x1;
p[++g] = node(x1,x2,y2,-,z1,z2);
a[g] = x2;
}
sort(a+,a+g+);
sort(p+,p+g+);
int o = ;
f[a[]] = ++o;
val[] = a[];
for(i = ; i <= g; i++)
if(a[i]!=a[i-])
{
f[a[i]] = ++o;
val[o] = a[i];
}
LL ans = ;
for(i = - ; i < ; i++)
{
int e = ;
build(,o-,);
for(j = ; j <= g ;j++)
{
if(p[j].z1>i||p[j].z1>i+||i>p[j].z2||p[j].z2<i+)
continue;
q[++e] = p[j];
}
for(j = ; j < e; j++)
{
int l = f[q[j].x1];
int r = f[q[j].x2]-;
// cout<<q[i].f<<" "<<i<<endl;
if(l<=r)
{
update(l,r,q[j].f,,o-,);
}
LL sum = (LL)(q[j+].y-q[j].y)*s[][];
//cout<<sum<<" ."<<i<<" "<<s[1][2]<<endl;
ans+=sum;
}
}
printf("Case %d: %I64d\n",++kk,ans);
}
return ;
}

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