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hdu 1541 (cdq分治)

时间:2019-09-06 18:52:36      阅读:112      评论:0      收藏:0      [点我收藏+]

标签:size   this   min   view   scanf   where   div   c++   operator   

Problem Description
Astronomers often examine star maps where stars are represented by points on a plane and each star has Cartesian coordinates. Let the level of a star be an amount of the stars that are not higher and not to the right of the given star. Astronomers want to know the distribution of the levels of the stars. 

技术图片

For example, look at the map shown on the figure above. Level of the star number 5 is equal to 3 (it‘s formed by three stars with a numbers 1, 2 and 4). And the levels of the stars numbered by 2 and 4 are 1. At this map there are only one star of the level 0, two stars of the level 1, one star of the level 2, and one star of the level 3. 

You are to write a program that will count the amounts of the stars of each level on a given map.
 

 

Input
The first line of the input file contains a number of stars N (1<=N<=15000). The following N lines describe coordinates of stars (two integers X and Y per line separated by a space, 0<=X,Y<=32000). There can be only one star at one point of the plane. Stars are listed in ascending order of Y coordinate. Stars with equal Y coordinates are listed in ascending order of X coordinate.
 

 

Output
The output should contain N lines, one number per line. The first line contains amount of stars of the level 0, the second does amount of stars of the level 1 and so on, the last line contains amount of stars of the level N-1.
 

 

Sample Input
5 1 1 5 1 7 1 3 3 5 5
 

 

Sample Output
1 2 1 1 0
 

思路:

排序以后把在第二维上分治

技术图片
#include <bits/stdc++.h>
using namespace std;
const double pi = acos(-1.0);
const int N = 1e5+7;
const int inf = 0x3f3f3f3f;
const double eps = 1e-6;
typedef long long ll;
const ll mod = 1e9+7;
struct node{
    int x,y,id;
    friend bool operator < (node a,node b){
        if(a.x!=b.x) return a.x<b.x;
        return a.y<b.y;
    }
}p[N],a[N];
int f[N];
int ans[N];
void cdq(int l,int r){
    if(l==r) return ;
    int mid=(l+r)>>1;
    cdq(l,mid); cdq(mid+1,r);
    int i=l,j=mid+1,cnt=l;
    while(i<=mid&&j<=r){
        if(p[i].y<=p[j].y){
            a[cnt++]=p[i++];
        }else{
            f[p[j].id]+=(i-l);
            a[cnt++]=p[j++];
        }
    }
    while(i<=mid) a[cnt++]=p[i++];
    while(j<=r){
        f[p[j].id]+=(i-l);
        a[cnt++]=p[j++];
    } 
    for(int k=l;k<=r;k++) p[k]=a[k];
}
int main(){
//    ios::sync_with_stdio(false);
//    cin.tie(0); cout.tie(0);
    int n; 
    while(~scanf("%d",&n)){
        memset(f,0,sizeof(f));
        memset(ans,0,sizeof(ans));
        for(int i=1;i<=n;i++){
            int x,y; scanf("%d%d",&x,&y);
            p[i]=node{x,y,i};
        }
        sort(p+1,p+n+1);
        cdq(1,n);
        for(int i=1;i<=n;i++)
            ans[f[i]]++;
        for(int i=0;i<n;i++)
            printf("%d\n",ans[i]);    
    }
        return 0;
}
View Code

 

hdu 1541 (cdq分治)

标签:size   this   min   view   scanf   where   div   c++   operator   

原文地址:https://www.cnblogs.com/wmj6/p/11477436.html

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