PAT 甲级 1056 Mice and Rice (25 分) (队列,读不懂题,读懂了一遍过)
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 NP programmers. Then every NG 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 NG 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: NP and NG (≤), the number of programmers and the maximum number of mice in a group, respectively. If there are less than NG 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 NP distinct non-negative numbers Wi (,) where each Wi is the weight of the i-th mouse respectively. The third line gives the initial playing order which is a permutation of 0 (assume that the programmers are numbered from 0 to NP−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
分组比赛,注意以下几点
1.先考虑一下rank怎么来的,假设某次比赛有m人,每组为ng人,不难确定,可以分为group组(group为(m/ng)向上取整),就是说有group个赢家,剩下的人的排名自然就都是group+1;(这里卡了一下,不会算rank)
2.从前往后,每ng为一组,每组的最重者有形成一个新的序列,用队列最方便。(在看题目的时候没有想到队列)
3.initial playing order与输入的order之间的关系:输入的order是我们分组用的order,其实在比赛过程中,我们不用管initial playing order的,最后输出rank的时候按照initial playing order即可。
AC代码:
#include<iostream> #include<stack> #include<queue> #include<cmath> #include<algorithm> #include<vector> #include<string> #include<cstring> #include<algorithm> using namespace std; queue<int>q,p; int n,m,x; int a[1005]; int r[1005]; int main(){ cin>>n>>m; for(int i=0;i<n;i++){ cin>>a[i]; } for(int i=1;i<=n;i++){ cin>>x; q.push(x); } while(1){ int l=int(ceil(q.size()*1.0/m));//向上取整 while(!q.empty()){ int mx=0; int k=-1; for(int i=1;i<=m;i++){//每m各一组 if(!q.empty()){ x=q.front(); q.pop(); r[x]=l+1;//rank为组数+1 if(a[x]>mx){ mx=a[x]; k=x; } } } p.push(k);//胜利者放入p } if(p.size()!=1){ q=p; queue<int>empty; swap(p,empty); }else{ r[p.front()]=1; break; } } for(int i=0;i<n;i++){ cout<<r[i]; if(i!=n-1) cout<<" "; } return 0; }