• hdu4419Colourful Rectangle


    链接

    分别求出7种颜色覆盖的面积。

    做法:每种颜色设定一个标号,以二进制表示R:100 G:010 B:001 。这样很明显可以知道RG:110 GB:011 以此类推。

    求解时,需要开一个二维标记数组,标记了这一段的某种颜色被标记了几次,然后类似状压的方式求解。

      1 #include <iostream>
      2 #include<cstdio>
      3 #include<cstring>
      4 #include<algorithm>
      5 #include<stdlib.h>
      6 #include<vector>
      7 #include<cmath>
      8 #include<queue>
      9 #include<set>
     10 #include<map>
     11 using namespace std;
     12 #define N 41010
     13 #define LL __int64
     14 #define INF 0xfffffff
     15 const double eps = 1e-8;
     16 const double pi = acos(-1.0);
     17 const double inf = ~0u>>2;
     18 map<int,int>f;
     19 int s[N<<2][8];
     20 int fs[N<<2],a[N],ff[N<<2][8];
     21 int val[N];
     22 int id[500];
     23 LL num[N];
     24 struct node
     25 {
     26     int x1,x2,y;
     27     int f;
     28     node(){}
     29     node(int x1,int x2,int y,int f):x1(x1),x2(x2),y(y),f(f){}
     30     bool operator <(const node &S)const
     31     {
     32         return y<S.y;
     33     }
     34 }p[N];
     35 void up(int w,int l,int r)
     36 {
     37     int i;
     38     if(fs[w]==0)
     39     {
     40         for(i = 1; i <= 7 ; i++)
     41         {
     42             if(l==r)
     43             s[w][i] = 0;
     44             else
     45             s[w][i] = s[w<<1][i]+s[w<<1|1][i];
     46         }
     47     }
     48     else
     49     {
     50         int res = val[r+1]-val[l];
     51         int cnt[8] = {0};
     52         for(i = 1; i <= 7; i++)
     53         {
     54             if(l==r)
     55             {
     56                 if(i==fs[w])
     57                 cnt[i] += val[r+1]-val[l];
     58                 else
     59                 cnt[i] += 0;
     60             }
     61             else
     62             {
     63                 cnt[i|fs[w]] += s[w<<1][i]+s[w<<1|1][i];
     64             }
     65         }
     66         for(i = 1; i <= 7; i++)
     67         res-=cnt[i];
     68         cnt[fs[w]]+=res;
     69         for(i = 1; i <= 7 ; i++)
     70         s[w][i] = cnt[i];
     71     }
     72 }
     73 void build(int l,int r,int w)
     74 {
     75     int i;
     76     for(i = 1;i<= 7; i++)
     77     {s[w][i] = ff[w][i] = 0;}
     78     fs[w] = 0;
     79     if(l==r)
     80     {
     81         return ;
     82     }
     83     int m = (l+r)>>1;
     84     build(l,m,w<<1);
     85     build(m+1,r,w<<1|1);
     86 }
     87 void update(int a,int b,int d,int l,int r,int w)
     88 {
     89     if(a<=l&&b>=r)
     90     {
     91         ff[w][abs(d)]+=d/abs(d);
     92         if(d>0)
     93         fs[w]|=d;
     94         else if(ff[w][-d]==0) fs[w]+=d;
     95         up(w,l,r);
     96         return ;
     97     }
     98     int m = (l+r)>>1;
     99     if(a<=m) update(a,b,d,l,m,w<<1);
    100     if(b>m) update(a,b,d,m+1,r,w<<1|1);
    101     up(w,l,r);
    102 }
    103 int main()
    104 {
    105     id['R'] = 4;
    106     id['G'] = 2;
    107     id['B'] = 1;
    108     int i,j,t,n,cas = 1;
    109     char sr[10];
    110     cin>>t;
    111     while(t--)
    112     {
    113         f.clear();
    114         scanf("%d",&n);
    115         memset(num,0,sizeof(num));
    116         int g= 0 ,dd[8];
    117         for(i = 1; i <= n; i++)
    118         {
    119             int x1,x2,y1,y2,k;
    120             scanf("%s%d%d%d%d",sr,&x1,&y1,&x2,&y2);
    121             if(sr[0]=='R') k = id['R'];
    122             else if(sr[0]=='G') k = id['G'];
    123             else k = id['B'];
    124             p[++g] = node(x1,x2,y1,k);
    125             a[g] = x1;
    126             p[++g] = node(x1,x2,y2,-k);
    127             a[g] = x2;
    128         }
    129         sort(a+1,a+g+1);
    130         sort(p+1,p+g+1);
    131         int o = 0;
    132         f[a[1]] = ++o;
    133         val[o] = a[1];
    134         for(i = 2; i <= g ; i++)
    135         if(a[i]!=a[i-1])
    136         {
    137             f[a[i]] = ++o;
    138             val[o] = a[i];
    139         }
    140         build(1,o-1,1);
    141 
    142         for(i = 1; i < g; i++)
    143         {
    144             int l = f[p[i].x1];
    145             int r = f[p[i].x2]-1;        //cout<<l<<" "<<r<<endl;
    146             if(l<=r)
    147             {
    148                 update(l,r,p[i].f,1,o-1,1);
    149             }
    150             for(j = 1; j <= 7;  j++)
    151             num[j] += (LL)(p[i+1].y-p[i].y)*s[1][j];
    152         }
    153         dd[1] = 4,dd[2] = 2,dd[3] = 1,dd[4] = 6,dd[5] = 5,dd[6] = 3,dd[7] = 7;
    154         printf("Case %d:
    ",cas++);
    155         for(i = 1; i <= 7; i++)
    156         printf("%I64d
    ",num[dd[i]]);
    157     }
    158     return 0;
    159 }
    View Code
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  • 原文地址:https://www.cnblogs.com/shangyu/p/3771226.html
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