TOJ 2711 Stars

本文介绍了一个天文学问题的编程解决方案,即统计二维平面上星星的分布级别。星星由坐标表示,级别定义为位于某星不高于且不更右的星星数量。文章提供了具体的算法实现,并讨论了性能优化的方法。

描述

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.


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.

输入

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.

输出

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.

样例输入

5
1 1
5 1
7 1
3 3
5 5

样例输出

1
2
1
1
0

提示

This problem has huge input data,use scanf() instead of cin to read data to avoid time limit exceed.

题目来源

Ural Collegiate 1999

 

做这题的时候一直超时。后来借了贞贞的代码看了,cjx更加混乱了,就两处地方改一改就不超时了。

实在搞不懂,求大神解答!

 

#include <stdio.h>
#include <string.h>
#define MAXN 32110

int n,m;
int L[15010];
int C[MAXN];
int lowbit(int t){
    return t&(t^(t-1));
}
int sum(int end){
    int sum(0);
    while(end>0){
        sum+=C[end];
        end-=lowbit(end);
    }
    return sum;
}

void add(int pos, int num){
    while(pos<=MAXN){
        C[pos]+=num;
        pos+=lowbit(pos); 
    }
}

int main(int argc, char *argv[])
{
    int x,y;
    scanf("%d",&n);
    for(int i=1; i<=n; i++){
        scanf("%d%d",&x,&y);
        x++;
        add(x,1);    
        L[sum(x)]++;            
        //----超时代码---
        int level=sum(x);
        L[level]++;
        add(x,1);        
        //---------------        
    }    
    for(int i=1; i<=n; i++)
        printf("%d\n",L[i]);                    
    //----超时代码---
    for(int i=0; i<n; i++)
        printf("%d\n",L[i]);        
    //---------------    
    return 0;
}

 

 

转载于:https://www.cnblogs.com/chenjianxiang/p/3541147.html

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