HDU 4419 Colourful Rectangle 第37届ACM/ICPC 杭州赛区网络赛 1010题 （线段树）

Colourful Rectangle

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 12    Accepted Submission(s): 3

Problem Description

We use Red, Green and Blue to make new colours. See the picture below:


Now give you n rectangles, the colour of them is red or green or blue. You have calculate the area of 7 different colour. (Note: A region may be covered by same colour several times, but it’s final colour depends on the kinds of different colour)

 

Input

The first line is an integer T(T <= 10), the number of test cases. The first line of each case contains a integer n (0 < n <= 10000), the number of rectangles. Then n lines follows. Each line start with a letter C(R means Red, G means Green, B means Blue) and four integers x1, y1, x2, y2(0 <= x1 < x2 < 10^9, 0 <= y1 < y2 < 10^9), the left-bottom's coordinate and the right-top's coordinate of a rectangle.

 

Output

For each case, output a line "Case a:", a is the case number starting from 1,then 7 lines, each line contain a integer, the area of each colour. (Note: You should print the areas as the order: R, G, B, RG, RB, GB, RGB).

 

Sample Input

3 2 R 0 0 2 2 G 1 1 3 3 3 R 0 0 4 4 G 2 0 6 4 B 0 2 6 6 3 G 2 0 3 8 G 1 0 6 1 B 4 2 7 7

 

Sample Output

Case 1: 3 3 0 1 0 0 0 Case 2: 4 4 12 4 4 4 4 Case 3: 0 12 15 0 0 0 0

 

Source

2012 ACM/ICPC Asia Regional Hangzhou Online

 

Recommend

liuyiding

 

 

 

麻烦的线段树。写了很久啊

 

//1010
#include<stdio.h>
#include<iostream>
#include<algorithm>
#include<string.h>
#include<stdlib.h>
#include<math.h>
using namespace std;
const int MAXN=60010;


struct Node
{
    int l,r;
    int cr,cg,cb;
    int lf,rf;
    int lr,lg,lb,lrg,lrb,lgb,lrgb;
    int lw;
}segTree[MAXN*6];
struct Line
{
    int x;
    int y1,y2;
    int flag;
    int f;
}line[MAXN];
int y[MAXN];
bool cmp(Line a,Line b)
{
    return a.x<b.x;
}
void Build(int i,int l,int r)
{
    segTree[i].l=l;
    segTree[i].r=r;
    segTree[i].lf=y[l];
    segTree[i].rf=y[r];
    segTree[i].cr=segTree[i].cg=segTree[i].cb=0;
    segTree[i].lw=segTree[i].rf-segTree[i].lf;
    segTree[i].lr=segTree[i].lg=segTree[i].lb=segTree[i].lrg=segTree[i].lgb=segTree[i].lrb=segTree[i].lrgb=0;
    if(l+1==r)return;
    int mid=((l+r)>>1);
    Build(i<<1,l,mid);
    Build((i<<1)|1,mid,r);
}
void calc(int i)
{

    if(segTree[i].l+1==segTree[i].r)
    {
         if(segTree[i].cr>0&&segTree[i].cg>0&&segTree[i].cb>0)
         {
            segTree[i].lrgb=segTree[i].rf-segTree[i].lf;
            segTree[i].lr=segTree[i].lg=segTree[i].lb=segTree[i].lrg=segTree[i].lgb=segTree[i].lrb=0;
            segTree[i].lw=0;
         }
         else if(segTree[i].cr>0&&segTree[i].cg>0)
         {
            segTree[i].lrg=segTree[i].rf-segTree[i].lf;
            segTree[i].lr=segTree[i].lg=segTree[i].lb=segTree[i].lrgb=segTree[i].lgb=segTree[i].lrb=0;
            segTree[i].lw=0;
         }
         else if(segTree[i].cr>0&&segTree[i].cb>0)
         {
            segTree[i].lrb=segTree[i].rf-segTree[i].lf;
            segTree[i].lr=segTree[i].lg=segTree[i].lb=segTree[i].lrgb=segTree[i].lgb=segTree[i].lrg=0;
            segTree[i].lw=0;
         }
         else if(segTree[i].cg>0&&segTree[i].cb>0)
         {
            segTree[i].lgb=segTree[i].rf-segTree[i].lf;
            segTree[i].lr=segTree[i].lg=segTree[i].lb=segTree[i].lrgb=segTree[i].lrb=segTree[i].lrg=0;
            segTree[i].lw=0;
         }
         else if(segTree[i].cr>0)
         {
             segTree[i].lr=segTree[i].rf-segTree[i].lf;
             segTree[i].lg=segTree[i].lb=segTree[i].lrg=segTree[i].lgb=segTree[i].lrb=segTree[i].lrgb=0;
             segTree[i].lw=0;
         }
         else if(segTree[i].cg>0)
         {
             segTree[i].lw=0;
             segTree[i].lg=segTree[i].rf-segTree[i].lf;
             segTree[i].lr=segTree[i].lb=segTree[i].lrg=segTree[i].lgb=segTree[i].lrb=segTree[i].lrgb=0;
         }
         else if(segTree[i].cb>0)
         {
             segTree[i].lb=segTree[i].rf-segTree[i].lf;
             segTree[i].lw=0;
             segTree[i].lg=segTree[i].lr=segTree[i].lrg=segTree[i].lgb=segTree[i].lrb=segTree[i].lrgb=0;
         }
         else
         {
             segTree[i].lb=0;
             segTree[i].lw=segTree[i].rf-segTree[i].lf;
             segTree[i].lg=segTree[i].lr=segTree[i].lrg=segTree[i].lgb=segTree[i].lrb=segTree[i].lrgb=0;
         }
         return;
    }

    if(segTree[i].cr>0&&segTree[i].cg>0&&segTree[i].cb>0)
    {
        segTree[i].lrgb=segTree[i].rf-segTree[i].lf;
        segTree[i].lr=segTree[i].lg=segTree[i].lb=segTree[i].lrg=segTree[i].lgb=segTree[i].lrb=0;
        segTree[i].lw=0;
        return;
    }

    else  if(segTree[i].cr>0&&segTree[i].cg>0)
    {
            segTree[i].lr=0;
            segTree[i].lg=0;
            segTree[i].lw=0;
            segTree[i].lb=0;
            segTree[i].lrg=segTree[i<<1].lw+segTree[(i<<1)|1].lw+segTree[i<<1].lr+segTree[(i<<1)|1].lr
            +segTree[i<<1].lg+segTree[(i<<1)|1].lg
            +segTree[i<<1].lrg+segTree[(i<<1)|1].lrg;
            segTree[i].lrb=segTree[i].lgb=0;
            segTree[i].lrgb=segTree[i<<1].lb+segTree[i<<1].lrb+segTree[i<<1].lgb+segTree[i<<1].lrgb
            +segTree[(i<<1)|1].lb+segTree[(i<<1)|1].lrb+segTree[(i<<1)|1].lgb+segTree[(i<<1)|1].lrgb;
    }
    else if(segTree[i].cr>0&&segTree[i].cb>0)
    {
            segTree[i].lr=0;
            segTree[i].lg=0;
            segTree[i].lw=0;
            segTree[i].lb=0;
            segTree[i].lrb=segTree[i<<1].lw+segTree[(i<<1)|1].lw+segTree[i<<1].lr+segTree[(i<<1)|1].lr
            +segTree[i<<1].lb+segTree[(i<<1)|1].lb
            +segTree[i<<1].lrb+segTree[(i<<1)|1].lrb;
            segTree[i].lrg=segTree[i].lgb=0;
            segTree[i].lrgb=segTree[i<<1].lg+segTree[i<<1].lgb+segTree[i<<1].lrg+segTree[i<<1].lrgb
            +segTree[(i<<1)|1].lg+segTree[(i<<1)|1].lgb+segTree[(i<<1)|1].lrg+segTree[(i<<1)|1].lrgb;
    }
    else if(segTree[i].cg>0&&segTree[i].cb>0)
    {
        segTree[i].lr=0;
            segTree[i].lg=0;
            segTree[i].lw=0;
            segTree[i].lb=0;
            segTree[i].lgb=segTree[i<<1].lw+segTree[(i<<1)|1].lw+segTree[i<<1].lg+segTree[(i<<1)|1].lg
            +segTree[i<<1].lb+segTree[(i<<1)|1].lb
            +segTree[i<<1].lgb+segTree[(i<<1)|1].lgb;
            segTree[i].lrg=segTree[i].lrb=0;
            segTree[i].lrgb=segTree[i<<1].lr+segTree[i<<1].lrb+segTree[i<<1].lrg+segTree[i<<1].lrgb
            +segTree[(i<<1)|1].lr+segTree[(i<<1)|1].lrb+segTree[(i<<1)|1].lrg+segTree[(i<<1)|1].lrgb;
    }
    else if(segTree[i].cr>0)
    {
        segTree[i].lr=segTree[i<<1].lw+segTree[i<<1].lr
           +segTree[(i<<1)|1].lw+segTree[(i<<1)|1].lr;
        segTree[i].lw=segTree[i].lg=segTree[i].lb=0;
        segTree[i].lgb=0;

        segTree[i].lrg=segTree[i<<1].lg+segTree[i<<1].lrg
            +segTree[(i<<1)|1].lg+segTree[(i<<1)|1].lrg;
        segTree[i].lrb=segTree[i<<1].lb+segTree[i<<1].lrb
            +segTree[(i<<1)|1].lb+segTree[(i<<1)|1].lrb;
        segTree[i].lrgb=segTree[i<<1].lgb+segTree[i<<1].lrgb
           +segTree[(i<<1)|1].lgb+segTree[(i<<1)|1].lrgb;
    }
    else if(segTree[i].cg>0)
    {
        segTree[i].lg=segTree[i<<1].lw+segTree[i<<1].lg
           +segTree[(i<<1)|1].lw+segTree[(i<<1)|1].lg;
        segTree[i].lw=segTree[i].lr=segTree[i].lb=0;
        segTree[i].lrb=0;

        segTree[i].lrg=segTree[i<<1].lr+segTree[i<<1].lrg
            +segTree[(i<<1)|1].lr+segTree[(i<<1)|1].lrg;
        segTree[i].lgb=segTree[i<<1].lb+segTree[i<<1].lgb
            +segTree[(i<<1)|1].lb+segTree[(i<<1)|1].lgb;
        segTree[i].lrgb=segTree[i<<1].lrb+segTree[i<<1].lrgb
           +segTree[(i<<1)|1].lrb+segTree[(i<<1)|1].lrgb;
    }
    else if(segTree[i].cb>0)
    {
        segTree[i].lb=segTree[i<<1].lw+segTree[i<<1].lb
           +segTree[(i<<1)|1].lw+segTree[(i<<1)|1].lb;
        segTree[i].lw=segTree[i].lr=segTree[i].lg=0;
        segTree[i].lrg=0;

        segTree[i].lrb=segTree[i<<1].lr+segTree[i<<1].lrb
            +segTree[(i<<1)|1].lr+segTree[(i<<1)|1].lrb;
        segTree[i].lgb=segTree[i<<1].lg+segTree[i<<1].lgb
            +segTree[(i<<1)|1].lg+segTree[(i<<1)|1].lgb;
        segTree[i].lrgb=segTree[i<<1].lrg+segTree[i<<1].lrgb
           +segTree[(i<<1)|1].lrg+segTree[(i<<1)|1].lrgb;
    }
    else
    {
        segTree[i].lw=segTree[i<<1].lw+segTree[(i<<1)|1].lw;
        segTree[i].lr=segTree[i<<1].lr+segTree[(i<<1)|1].lr;
        segTree[i].lg=segTree[i<<1].lg+segTree[(i<<1)|1].lg;
        segTree[i].lb=segTree[i<<1].lb+segTree[(i<<1)|1].lb;

        segTree[i].lrg=segTree[i<<1].lrg+segTree[(i<<1)|1].lrg;
        segTree[i].lgb=segTree[i<<1].lgb+segTree[(i<<1)|1].lgb;
        segTree[i].lrb=segTree[i<<1].lrb+segTree[(i<<1)|1].lrb;

        segTree[i].lrgb=segTree[i<<1].lrgb+segTree[(i<<1)|1].lrgb;
    }

}
void update(int i,Line e)
{
    if(e.y1==segTree[i].lf&&e.y2==segTree[i].rf)
    {
        if(e.flag==1)
        {
            segTree[i].cr+=e.f;
        }
        else if(e.flag==2)
        {
            segTree[i].cg+=e.f;
        }
        else if(e.flag==3)
        {
            segTree[i].cb+=e.f;
        }
        //printf("*%d %d\n",segTree[i].lf,segTree[i].rf);
       // printf("**%d %d %d\n",segTree[i].cr,segTree[i].cg,segTree[i].cb);
        calc(i);
        return;
    }
    if(e.y2<=segTree[i<<1].rf) update(i<<1,e);
    else if(e.y1>=segTree[(i<<1)|1].lf)  update((i<<1)|1,e);
    else
    {
        Line temp=e;
        temp.y2=segTree[i<<1].rf;
        update(i<<1,temp);
        temp=e;
        temp.y1=segTree[(i<<1)|1].lf;
        update((i<<1)|1,temp);
    }
    calc(i);
}
long long out[20];
int main()
{
       // freopen("J.in","r",stdin);
   // freopen("J.out","w",stdout);
    int x1,x2,y1,y2;
    char str[10];
    int T;
    int n;
    scanf("%d",&T);
    int iCase=0;
    while(T--)
    {
        iCase++;
        scanf("%d",&n);
        int t=1;
        for(int i=1;i<=n;i++)
        {
            scanf("%s",&str);
            scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
            line[t].x=x1;
            line[t].y1=y1;
            line[t].y2=y2;
            line[t].f=1;
            if(str[0]=='R')line[t].flag=1;
            else if(str[0]=='G')line[t].flag=2;
            else line[t].flag=3;


            y[t]=y1;
            t++;
            line[t].x=x2;
            line[t].y1=y1;
            line[t].y2=y2;
            line[t].f=-1;
            y[t]=y2;
            if(str[0]=='R')line[t].flag=1;
            else if(str[0]=='G')line[t].flag=2;
            else line[t].flag=3;
            t++;
        }

        sort(line+1,line+t,cmp);
        sort(y+1,y+t);
        Build(1,1,t-1);
        memset(out,0,sizeof(out));
        update(1,line[1]);


        for(int i=2;i<t;i++)
        {
            out[1]+=(long long)segTree[1].lr*(line[i].x-line[i-1].x);
            out[2]+=(long long)segTree[1].lg*(line[i].x-line[i-1].x);
            out[3]+=(long long)segTree[1].lb*(line[i].x-line[i-1].x);
            out[4]+=(long long)segTree[1].lrg*(line[i].x-line[i-1].x);
            out[5]+=(long long)segTree[1].lrb*(line[i].x-line[i-1].x);
            out[6]+=(long long)segTree[1].lgb*(line[i].x-line[i-1].x);
            out[7]+=(long long)segTree[1].lrgb*(line[i].x-line[i-1].x);
            update(1,line[i]);

        }
        printf("Case %d:\n",iCase);


        for(int i=1;i<=7;i++)
          printf("%I64d\n",out[i]);
    }
    return 0;
}