Uva 10881 - Piotr's Ants

本文介绍了一个关于蚂蚁在水平杆上行走并相互碰撞的问题。通过输入蚂蚁的初始位置和方向,算法模拟了它们在特定时间后的最终状态,包括转向或掉落的情况。
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"One thing is for certain: there is no stopping them;
the ants will soon be here. And I, for one, welcome our
new insect overlords."
Kent Brockman

Piotr likes playing with ants. He has n of them on a horizontal pole L cm long. Each ant is facing either left or right and walks at a constant speed of 1 cm/s. When two ants bump into each other, they both turn around (instantaneously) and start walking in opposite directions. Piotr knows where each of the ants starts and which direction it is facing and wants to calculate where the ants will end up T seconds from now.

Input
The first line of input gives the number of cases, NN test cases follow. Each one starts with a line containing 3 integers: L , T and n (0 <= n <= 10000). The next n lines give the locations of the n ants (measured in cm from the left end of the pole) and the direction they are facing (L or R).

Output
For each test case, output one line containing "Case #x:" followed by n lines describing the locations and directions of the n ants in the same format and order as in the input. If two or more ants are at the same location, print "Turning" instead of "L" or "R" for their direction. If an ant falls off the pole before Tseconds, print "Fell off" for that ant. Print an empty line after each test case.

Sample InputSample Output
2
10 1 4
1 R
5 R
3 L
10 R
10 2 3
4 R
5 L
8 R
Case #1:
2 Turning
6 R
2 Turning
Fell off

Case #2:
3 L
6 R
10 R

#include <iostream>
#include <stdio.h>
#include <algorithm>
#include <cstring>
#include <map>
using namespace std;
const int MAXN = 10010;
int L, T, n;
struct node{
   int l; 
   bool fx; //true为右 
   int id; 
}MaYi[MAXN];
bool cmp(node a, node b)
{
 	 return a.l<b.l;
}
int xb[MAXN];//找到现在的下标 
map<int,int>shumu;
int main()
{
   int t, cs, i, j;
    int l;
    char c;
    scanf("%d",&t);
    //freopen("d:\out.txt","w",stdout);
    for(cs=1; cs<=t; cs++)
    { 
	      scanf("%d%d%d",&L,&T,&n);
	      for(i=0; i<n; i++)
	      {
               scanf("%d %c",&l,&c);
               MaYi[i].l=l;
               if(c=='R')
                    MaYi[i].fx = true;
               else
                    MaYi[i].fx = false;   
			   MaYi[i].id = i;    
	      }
	      sort(MaYi,MaYi+n,cmp);
	      shumu.clear();
	      //确定原来位置,以及统计现在相对位置 ,再移动蚂蚁 统计每个点的蚂蚁数目 
	      int s = 0;
	      for(i=0; i<n; i++)
	      {
  		   	   xb[MaYi[i].id] = i;
  		   	   //向右 
  		   	   if(MaYi[i].fx)
  		   	   {
					MaYi[i].l += T;
			   }else{
					MaYi[i].l -= T;
               }
               shumu[MaYi[i].l]++;
	   	  }
		  sort(MaYi,MaYi+n,cmp);
		   
    
	      printf("Case #%d:\n",cs);
	      for(i=0; i<n; i++)
	      {
                int a = xb[i];  
            
                int d = MaYi[a].l;
                if(MaYi[a].fx) 
                {
                    if(d>=0 && d<=L)
                    {
                        if(shumu[d]==1)
                        {
                            printf("%d R\n",d);
                        }else{
                            printf("%d Turning\n",d);
                        }
                    }else{
                        printf("Fell off\n");
                    }
                }else{
                    if(d>=0 && d<=L)
                    {
                        if(shumu[d]==1)
                        {
                            printf("%d L\n",d);
                        }else{
                            printf("%d Turning\n",d);
                        }
                    }else{
                        printf("Fell off\n");
                    }
                }
               
          } printf("\n");
    } 
    return 0;
}



Problemsetter: Igor Naverniouk
Alternate solutions: Frank Pok Man Chu and Yury Kholondyrev

 

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