首页 > 代码库 > HDU1528_Card Game Cheater(二分图/最大匹配)

HDU1528_Card Game Cheater(二分图/最大匹配)

2024-07-17 20:32:09   221人阅读

解题报告

题目传送门

题意：

两个人拿着两副牌，其中一人知道另一个人的手牌，问要怎么配对才能使他获得更多的点数。

游戏规则：

两张牌的第一个数大的牌的人加点。

第一个数相同就比较第二个数。

H>S>D>C

思路：

很容易建图，二分图最大匹配over

#include <iostream>
#include <cstring>
#include <cstdio>

using namespace std;
int mmap[100][100],vis[100],pre[100],k;
char str[100][10];
int one(char c) {
    if(c>='2'&&c<='9')
        return c-'0';
    else {
        if(c=='T')return 10;
        else if(c=='J')return 11;
        else if(c=='Q')return 12;
        else if(c=='K')return 13;
        else if(c=='A')return 14;
        else if(c=='H')return 15;
        else if(c=='S')return 16;
        else if(c=='D')return 17;
        else if(c=='C')return 18;
    }
}
int dfs(int x) {
    for(int i=1; i<=k; i++) {
        if(!vis[i]&&mmap[x][i]) {
            vis[i]=1;
            if(pre[i]==-1||dfs(pre[i])) {
                pre[i]=x;
                return 1;
            }
        }
    }
    return 0;
}
int main() {
    int t,i,j;
    char ch[10];
    while(~scanf("%d",&t)) {
        while(t--) {
            memset(pre,-1,sizeof(pre));
            memset(mmap,0,sizeof(mmap));
            scanf("%d",&k);
            for(i=1; i<=k; i++) {
                scanf("%s",str[i]);
            }
            for(i=1; i<=k; i++) {
                scanf("%s",ch);
                for(j=1; j<=k; j++) {
                    if(one(ch[0])>one(str[j][0])) {
                        mmap[i][j]=1;
                    } else if(one(ch[0])==one(str[j][0])) {
                        if(one(ch[1])<one(str[j][1]))
                            mmap[i][j]=1;
                    }
                }
            }
            int ans=0;
            for(i=1; i<=k; i++) {
                memset(vis,0,sizeof(vis));
                ans+=dfs(i);
            }
            printf("%d\n",ans);
        }
    }
    return 0;
}

Card Game Cheater

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 1251    Accepted Submission(s): 667


Problem Description
Adam and Eve play a card game using a regular deck of 52 cards. The rules are simple. The players sit on opposite sides of a table, facing each other. Each player gets k cards from the deck and, after looking at them, places the cards face down in a row on the table. Adam’s cards are numbered from 1 to k from his left, and Eve’s cards are numbered 1 to k from her right (so Eve’s i:th card is opposite Adam’s i:th card). The cards are turned face up, and points are awarded as follows (for each i ∈ {1, . . . , k}):


If Adam’s i:th card beats Eve’s i:th card, then Adam gets one point.


If Eve’s i:th card beats Adam’s i:th card, then Eve gets one point.


A card with higher value always beats a card with a lower value: a three beats a two, a four beats a three and a two, etc. An ace beats every card except (possibly) another ace.


If the two i:th cards have the same value, then the suit determines who wins: hearts beats all other suits, spades beats all suits except hearts, diamond beats only clubs, and clubs does not beat any suit. 

For example, the ten of spades beats the ten of diamonds but not the Jack of clubs. 

This ought to be a game of chance, but lately Eve is winning most of the time, and the reason is that she has started to use marked cards. In other words, she knows which cards Adam has on the table before he turns them face up. Using this information she orders her own cards so that she gets as many points as possible.

Your task is to, given Adam’s and Eve’s cards, determine how many points Eve will get if she plays optimally. 

 

Input
There will be several test cases. The first line of input will contain a single positive integer N giving the number of test cases. After that line follow the test cases.

Each test case starts with a line with a single positive integer k <= 26 which is the number of cards each player gets. The next line describes the k cards Adam has placed on the table, left to right. The next line describes the k cards Eve has (but she has not yet placed them on the table). A card is described by two characters, the first one being its value (2, 3, 4, 5, 6, 7, 8 ,9, T, J, Q, K, or A), and the second one being its suit (C, D, S, or H). Cards are separated by white spaces. So if Adam’s cards are the ten of clubs, the two of hearts, and the Jack of diamonds, that could be described by the line

TC 2H JD
 

Output
For each test case output a single line with the number of points Eve gets if she picks the optimal way to arrange her cards on the table.

 

Sample Input
3
1
JD
JH
2
5D TC
4C 5H
3
2H 3H 4H
2D 3D 4D
 

Sample Output
1
1
2
 


联系
我们