HDU - 6188 Duizi and Shunzi

解决一个关于使用整数形成尽可能多的对子和顺子的问题,通过编程算法实现,给出具体示例输入输出及代码实现。

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题目地址:http://acm.hdu.edu.cn/showproblem.php?pid=6188

题目:

Nike likes playing cards and makes a problem of it. 

Now give you n integers, ai(1≤i≤n)ai(1≤i≤n) 

We define two identical numbers (eg: 2,22,2) a Duizi, 
and three consecutive positive integers (eg: 2,3,42,3,4) a Shunzi. 

Now you want to use these integers to form Shunzi and Duizi as many as possible. 

Let s be the total number of the Shunzi and the Duizi you formed. 

Try to calculate max(s)max(s). 

Each number can be used only once. 

Input

The input contains several test cases. 

For each test case, the first line contains one integer n(1≤n≤1061≤n≤106). 
Then the next line contains n space-separated integers aiai (1≤ai≤n1≤ai≤n) 

Output

For each test case, output the answer in a line. 

Sample Input

7
1 2 3 4 5 6 7
9
1 1 1 2 2 2 3 3 3
6
2 2 3 3 3 3 
6
1 2 3 3 4 5

Sample Output

2
4
3
2  

Hint

Case 1(1,2,3)(4,5,6)

Case 2(1,2,3)(1,1)(2,2)(3,3)

Case 3(2,2)(3,3)(3,3)

Case 4(1,2,3)(3,4,5)

分析:

给你一组数,你要找对子和顺子一共多少。水题。

代码:

#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
int main()
{
    int n;
    while(scanf("%d",&n)!=EOF){
        int a;
        int m[100001];
        memset(m,0,sizeof(m));
        for(int i=0;i<n;i++){
            cin>>a;
            m[a]++;
        }
        int sum=0;
        for(int i=1;i<=n;){
            if(m[i]%2==1&&m[i+1]%2==1&&m[i+2]){sum++;m[i]--;m[i+1]--;m[i+2]--;}
            sum=sum+m[i]/2;
            i++;
        }
        cout<<sum<<endl;
    }
    return 0;
}

 

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