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  • HDU4419Colourful Rectangle解题报告

    又一道矩形面积并,只要要统计七种颜色分别的面积,所以在线段树里维护一个颜色数组,一个各种颜色覆盖长度的数组,其余的和求矩形面积并就很类似了

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      1 #include<iostream>
      2 #include<cstring>
      3 #include<cstdio>
      4 #include<algorithm>
      5 #define N 10005
      6 #define L(x) (x<<1)
      7 #define R(x) (x<<1|1)
      8 using namespace std;
      9 typedef long long LL;
     10 struct Line
     11 {
     12     LL x,y1,y2;
     13     LL l,c;
     14     friend bool operator<(Line a,Line b)
     15     {
     16         return a.x<b.x;
     17     }
     18 };
     19 Line line[N*4];
     20 LL n;
     21 LL y[N*4];
     22 struct node
     23 {
     24     LL l,r;
     25     LL c[3],s[8];
     26 };
     27 node tree[N*4];
     28 void build(LL id,LL l,LL r)
     29 {
     30     tree[id].l=l;
     31     tree[id].r=r;
     32     memset(tree[id].c,0,sizeof(tree[id].c));
     33     memset(tree[id].s,0,sizeof(tree[id].s));
     34     tree[id].s[0]=y[tree[id].r]-y[tree[id].l];
     35     if(l+1>=r)
     36     return;
     37     LL mid=(l+r)>>1;
     38     build(L(id),l,mid);
     39     build(R(id),mid,r);
     40 }
     41 void sum(LL u)
     42 {
     43     LL st=0;
     44     LL i;
     45     for(i=0;i<3;i++)
     46     if(tree[u].c[i])
     47     st|=(1<<i);
     48     memset(tree[u].s,0,sizeof(tree[u].s));
     49     if(tree[u].l+1==tree[u].r)
     50     {
     51         tree[u].s[st]=y[tree[u].r]-y[tree[u].l];
     52     }
     53     else
     54     {
     55         for(i=0;i<8;i++)
     56         {
     57             tree[u].s[i|st]+=tree[L(u)].s[i]+tree[R(u)].s[i];
     58         }
     59     }
     60 }
     61 void update(LL u,LL l,LL r,LL col,LL c)
     62 {
     63     if(tree[u].l==l&&tree[u].r==r)
     64     {
     65         tree[u].c[col]+=c;
     66         sum(u);
     67         return;
     68     }
     69     LL mid=(tree[u].l+tree[u].r)>>1;
     70     if(r<=mid)
     71     update(L(u),l,r,col,c);
     72     else if(l>=mid)
     73     update(R(u),l,r,col,c);
     74     else
     75     {
     76         update(L(u),l,mid,col,c);
     77         update(R(u),mid,r,col,c);
     78     }
     79     sum(u);
     80 }
     81 LL search(LL x)
     82 {
     83     LL low=1,high=n,mid;
     84     while(low<=high)
     85     {
     86         mid=(low+high)>>1;
     87         if(y[mid]==x)
     88         return mid;
     89         if(y[mid]>x)
     90         high=mid-1;
     91         else
     92         low=mid+1;
     93     }
     94     return mid;
     95 }
     96 LL color(char *s)
     97 {
     98     if(s[0]=='R')
     99     return 0;
    100     if(s[0]=='G')
    101     return 1;
    102     return 2;
    103 }
    104 int main()
    105 {
    106     LL ans[8],i,j,k,l,r,c;
    107     LL lnum,x1,y1,x2,y2,lsum;
    108     char s[3];
    109     LL tcase,icase=0;
    110     scanf("%I64d",&tcase);
    111     while(tcase--)
    112     {
    113         scanf("%I64d",&lnum);
    114         lsum=1;
    115         for(i=0;i<lnum;i++)
    116         {
    117             scanf("%s%I64d%I64d%I64d%I64d",s,&x1,&y1,&x2,&y2);
    118             c=color(s);
    119             y[lsum]=y1;
    120             line[lsum].x=x1;
    121             line[lsum].y1=y1;
    122             line[lsum].y2=y2;
    123             line[lsum].c=c;
    124             line[lsum].l=1;
    125             lsum++;
    126             y[lsum]=y2;
    127             line[lsum].x=x2;
    128             line[lsum].y1=y1;
    129             line[lsum].y2=y2;
    130             line[lsum].c=c;
    131             line[lsum].l=-1;
    132             lsum++;
    133         }
    134         sort(y+1,y+lsum);
    135         sort(line+1,line+lsum);
    136         n=unique(y+1,y+lsum)-(y+1);
    137         build(1,1,n);
    138         memset(ans,0,sizeof(ans));
    139         for(i=1;i<lsum-1;i++)
    140         {
    141             l=search(line[i].y1);
    142             r=search(line[i].y2);
    143             update(1,l,r,line[i].c,line[i].l);
    144             for(j=1;j<=7;j++)
    145             {
    146                 ans[j]+=(tree[1].s[j]*(line[i+1].x-line[i].x));
    147             }
    148         }
    149         printf("Case %I64d:\n",++icase);
    150         for(i=1;i<=7;i++)
    151         if(i!=3&&i!=4)
    152         printf("%I64d\n",ans[i]);
    153         else if(i==3)
    154         printf("%I64d\n",ans[4]);
    155         else
    156         printf("%I64d\n",ans[3]);
    157     }
    158     return 0;
    159 }
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  • 原文地址:https://www.cnblogs.com/caozhenhai/p/2709234.html
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