PAT 甲级 1056  Mice and Rice

本文介绍了一个名为MiceandRice的编程竞赛,参赛者通过编写代码控制鼠标在地图上移动以吃尽可能多的大米。文章详细解释了比赛流程和排名规则,并提供了一段AC代码示例,使用队列来模拟淘汰赛制,最终确定每位程序员的排名。

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1056 Mice and Rice (25 point(s))

Mice and Rice is the name of a programming contest in which each programmer must write a piece of code to control the movements of a mouse in a given map. The goal of each mouse is to eat as much rice as possible in order to become a FatMouse.

First the playing order is randomly decided for N​P​​ programmers. Then every N​G​​ programmers are grouped in a match. The fattest mouse in a group wins and enters the next turn. All the losers in this turn are ranked the same. Every N​G​​ winners are then grouped in the next match until a final winner is determined.

For the sake of simplicity, assume that the weight of each mouse is fixed once the programmer submits his/her code. Given the weights of all the mice and the initial playing order, you are supposed to output the ranks for the programmers.

Input Specification:

Each input file contains one test case. For each case, the first line contains 2 positive integers: N​P​​ and N​G​​ (≤1000), the number of programmers and the maximum number of mice in a group, respectively. If there are less than N​G​​ mice at the end of the player's list, then all the mice left will be put into the last group. The second line contains N​P​​ distinct non-negative numbers W​i​​ (i=0,⋯,N​P​​−1) where each W​i​​ is the weight of the i-th mouse respectively. The third line gives the initial playing order which is a permutation of 0,⋯,N​P​​−1 (assume that the programmers are numbered from 0 to N​P​​−1). All the numbers in a line are separated by a space.

Output Specification:

For each test case, print the final ranks in a line. The i-th number is the rank of the i-th programmer, and all the numbers must be separated by a space, with no extra space at the end of the line.

Sample Input:

11 3
25 18 0 46 37 3 19 22 57 56 10
6 0 8 7 10 5 9 1 4 2 3

Sample Output:

5 5 5 2 5 5 5 3 1 3 5

经验总结:

这一题,就.....首先你得弄懂题目到底是怎么进行比赛以及如何进行排名的,如果这个弄懂了,这一题就不难了,不过难就难在弄懂上面, 首先,排名是这样的,在同一轮被决定了排名的,拥有相同的排名,具体排名根据前面的人数决定(比如前面有n个人,那么这一批人的排名就为n+1),至于实现方法,用队列比较适合模拟这种淘汰类型的比赛,具体实现细节见代码~

AC代码

#include <cstdio>
#include <cmath>
#include <cstring>
#include <queue>
using namespace std;
const int maxn=1010;
struct mouse
{
	int rank,weight;
}mice[maxn];
int main()
{
	int Np,Ng,t;
	scanf("%d %d",&Np,&Ng);
	for(int i=0;i<Np;++i)
		scanf("%d",&mice[i].weight);
	queue<int> q;
	for(int i=0;i<Np;++i)
	{
		scanf("%d",&t);
		q.push(t);
	}
	int temp=Np,group;
	while(q.size()!=1)
	{
		if(temp%Ng==0)
			group=temp/Ng;
		else
			group=temp/Ng+1;
		for(int i=0;i<group;++i)
		{
			int x=q.front();
			for(int j=0;j<Ng;++j)
			{
				if(i*Ng+j>=temp)
					break;
				int front=q.front();
				if(mice[front].weight>mice[x].weight)
				{
					x=front;
				}
				mice[front].rank=group+1;
				q.pop();
			}
			q.push(x);
		}
		temp=group;
	}
	mice[q.front()].rank=1;
	for(int i=0;i<Np;++i)
		printf("%d%c",mice[i].rank,i<Np-1?' ':'\n');
	return 0;
}

 

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