UVA Tree's a Crowd（三维空间的点求最短距离）

Tree's a Crowd

Time Limit:3000MS     Memory Limit:0KB     64bit IO Format:%lld & %llu

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Description

 Tree's a Crowd 

Dr William Larch, noted plant psychologist and inventor of the phrase ``Think like a tree--Think Fig'' has invented a new classification system for trees. This is a complicated system involving a series of measurements which are then combined to produce three numbers (in the range [0, 255]) for any given tree. Thus each tree can be thought of as occupying a point in a 3-dimensional space. Because of the nature of the process, measurements for a large sample of trees are likely to be spread fairly uniformly throughout the whole of the available space. However Dr Larch is convinced that there are relationships to be found between close neighbours in this space. To test this hypothesis, he needs a histogram of the numbers of trees that have closest neighbours that lie within certain distance ranges.

Write a program that will read in the parameters of up to 5000 trees and determine how many of them have closest neighbours that are less than 1 unit away, how many with closest neighbours 1 or more but less than 2 units away, and so on up to those with closest neighbours 9 or more but less than 10 units away. Thus if  is the distance between the i'th point and its nearest neighbour(s) and  , with j and k integers and k = j+1, then this point (tree) will contribute 1 to the j'th bin in the histogram (counting from zero). For example, if there were only two points 1.414 units apart, then the histogram would be 0, 2, 0, 0, 0, 0, 0, 0, 0, 0.

Input and Output

Input will consist of a series of lines, each line consisting of 3 numbers in the range [0, 255]. The file will be terminated by a line consisting of three zeroes.

Output will consist of a single line containing the 10 numbers representing the desired counts, each number right justified in a field of width 4.

Sample input

10 10 010 10 010 10 110 10 310 10 610 10 1010 10 1510 10 2110 10 2810 10 3610 10 450 0 0

Sample output

   2   1   1   1   1   1   1   1   1   1

     题意：输入x，y，z分别代表立体空间的坐标，然后求出这些点对于另外的其他点的最短距离，最后输出这些点的最短距离分别在0~9的个数。

#include<iostream>#include<algorithm>#include<stdio.h>#include<string.h>#include<stdlib.h>#include<math.h>using namespace std;struct node{    double x,y,z;}q[100100];int main(){    int k = 0;    double a,b,c;    while(scanf("%lf%lf%lf",&a,&b,&c)!=EOF)    {        if(a == 0 && b == 0 && c == 0)        {            break;        }        else        {            q[k].x = a;            q[k].y = b;            q[k].z = c;            k++;        }    }    int aa[10];    memset(aa,0,sizeof(aa));    for(int i=0;i<k;i++)    {         int min = 11,kk;         for(int j=0;j<k;j++)         {             if(i != j)             {                 kk = sqrt((q[j].x - q[i].x)*(q[j].x - q[i].x) + (q[j].y - q[i].y)*(q[j].y - q[i].y) + (q[j].z - q[i].z)*(q[j].z - q[i].z));                 //printf("kk = %d\n",kk);                 if(min > kk)                 {                     min = kk;                 }             }         }         if(min<10)         {             aa[min]++;         }    }    for(int i=0;i<10;i++)    {        printf("%4d",aa[i]);    }    printf("\n");    return 0;}