田忌賽馬

標籤：c++

田忌賽馬時間限制：3000 ms  |  記憶體限制：65535 KB難度：3

描述

Here is a famous story in Chinese history.

"That was about 2300 years ago. General Tian Ji was a high official in the country Qi. He likes to play horse racing with the king and others."

"Both of Tian and the king have three horses in different classes, namely, regular, plus, and super. The rule is to have three rounds in a match; each of the horses must be used in one round. The winner of a single round takes two hundred silver dollars from the loser."

"Being the most powerful man in the country, the king has so nice horses that in each class his horse is better than Tian‘s. As a result, each time the king takes six hundred silver dollars from Tian."

"Tian Ji was not happy about that, until he met Sun Bin, one of the most famous generals in Chinese history. Using a little trick due to Sun, Tian Ji brought home two hundred silver dollars and such a grace in the next match."

"It was a rather simple trick. Using his regular class horse race against the super class from the king, they will certainly lose that round. But then his plus beat the king‘s regular, and his super beat the king‘s plus. What a simple trick. And how do you think of Tian Ji, the high ranked official in China?"

Were Tian Ji lives in nowadays, he will certainly laugh at himself. Even more, were he sitting in the ACM contest right now, he may discover that the horse racing problem can be simply viewed as finding the maximum matching in a bipartite graph. Draw Tian‘s horses on one side, and the king‘s horses on the other. Whenever one of Tian‘s horses can beat one from the king, we draw an edge between them, meaning we wish to establish this pair. Then, the problem of winning as many rounds as possible is just to find the maximum matching in this graph. If there are ties, the problem becomes more complicated, he needs to assign weights 0, 1, or -1 to all the possible edges, and find a maximum weighted perfect matching...

However, the horse racing problem is a very special case of bipartite matching. The graph is decided by the speed of the horses --- a vertex of higher speed always beat a vertex of lower speed. In this case, the weighted bipartite matching algorithm is a too advanced tool to deal with the problem.

In this problem, you are asked to write a program to solve this special case of matching problem.

輸入

The input consists of many test cases. Each case starts with a positive integer n (n <= 1000) on the first line, which is the number of horses on each side. The next n integers on the second line are the speeds of Tian’s horses. Then the next n integers on the third line are the speeds of the king’s horses.

輸出

For each input case, output a line containing a single number, which is the maximum money Tian Ji will get, in silver dollars.

範例輸入

392 83 7195 87 74220 2020 20220 1922 18

範例輸出

20000

My Code：

#include<iostream>#include <cstdio>#include <algorithm>using namespace std;int main(){int n,i,ii,j,jj,ans;int a[1010],king[1010];while (~scanf("%d",&n)){for (i=0;i<n;++i){scanf("%d",&a[i]);}for (i=0;i<n;++i){scanf("%d",&king[i]);}sort(a,a+n);sort(king,king+n);i=0;ii=n-1;j=0;jj=n-1;ans=0;  while(j<=jj){if (king[i]<a[j])//數列末端比較是否比國王的快，快就他倆比{ans++;i++;j++;}else if (king[ii]<a[jj])//數列首端比較是否比國王的快，快就他倆比{ans++;ii--;jj--;}else//剩下的就是國王的大或等于闐忌的馬了{if (king[ii]>a[j])//若國王的馬大于闐忌末端的馬，田忌輸了{ans--;}ii--;//不管輸贏都會消耗國王首段馬與田忌末端馬才最優j++;}}printf("%d\n",ans*200);}return 0;}

標程：

 #include <stdio.h>#include <algorithm>using namespace std;int T[1002],K[1002],n,win,lose;void read(){    for(int i=0;i<n;i++)        scanf("%d",&T[i]);    for(int i=0;i<n;i++)        scanf("%d",&K[i]);    sort(T,T+n);    sort(K,K+n);}void race(){    win = lose =0;    int t_slow=0,t_fast=n-1;    int k_slow=0,k_fast=n-1;    while(t_slow <= t_fast)    {        if(T[t_slow] > K[k_slow])        {            win++;            t_slow++;            k_slow++;        }        else if(T[t_slow] < K[k_slow])        {            lose++;            t_slow++;            k_fast--;        }        else        {            if(T[t_fast] > K[k_fast])            {                win++;                t_fast--;                k_fast--;            }            else            {                if(T[t_slow]!=K[k_fast])                    lose++;                t_slow++;                k_fast--;            }            /*else if(T[t_fast] < K[k_fast])            {                lose++;                t_slow++;                k_fast--;            }            else            {                if(T[t_slow]==K[t_fast])                    break;                lose++;                t_slow++;                k_fast--;            }*/        }    }}int main(){    //freopen("1","r",stdin);    //freopen("2","w",stdout);    while(~scanf("%d",&n))    {        read();        race();        //printf("win:%d\tlose:%d\n",win,lose);        printf("%d\n",200*(win-lose));    }    return 0;}        

田忌賽馬