Codeforces Round #217 (Div. 2) c题 C. Mittens n手套，手套的颜色m种，任意两个人之间可以交换手套，最多多少人左手和右手的手套颜色不同

Codeforces Round #217 (Div. 2) c题

C. Mittens

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

A Christmas party in city S. had n children. All children came in mittens. The mittens can be of different colors, but each child had the left and the right mitten of the same color. Let's say that the colors of the mittens are numbered with integers from 1 to m, and the children are numbered from 1 to n. Then the i-th child has both mittens of color c_i.

The Party had Santa Claus ('Father Frost' in Russian), his granddaughter Snow Girl, the children danced around the richly decorated Christmas tree. In fact, everything was so bright and diverse that the children wanted to wear mittens of distinct colors. The children decided to swap the mittens so that each of them got one left and one right mitten in the end, and these two mittens were of distinct colors. All mittens are of the same size and fit all the children.

The children started exchanging the mittens haphazardly, but they couldn't reach the situation when each child has a pair of mittens of distinct colors. Vasily Petrov, the dad of one of the children, noted that in the general case the children's idea may turn out impossible. Besides, he is a mathematician and he came up with such scheme of distributing mittens that the number of children that have distinct-colored mittens was maximum. You task is to repeat his discovery. Note that the left and right mittens are different: each child must end up with one left and one right mitten.

Input

The first line contains two integers n and m — the number of the children and the number of possible mitten colors (1 ≤ n ≤ 5000, 1 ≤ m ≤ 100). The second line contains nintegers c₁, c₂, ... c_n, where c_i is the color of the mittens of the i-th child (1 ≤ c_i ≤ m).

Output

In the first line, print the maximum number of children who can end up with a distinct-colored pair of mittens. In the next n lines print the way the mittens can be distributed in this case. On the i-th of these lines print two space-separated integers: the color of the left and the color of the right mitten the i-th child will get. If there are multiple solutions, you can print any of them.

Sample test(s)

Input

6 3 1 3 2 2 1 1

Output

6 2 1 1 2 2 1 1 3 1 2 3 1

Input

4 2 1 2 1 1

Output

2 1 2 1 1 2 1 1 1

题意：n副手套，手套的颜色m种，任意两个人之间可以交换手套，最多多少人左手和右手的手套颜色不同。

我还以为是二分匹配来着。。 实际上这里要是 颜色最多的次数*2>n 那么就是 不是这个颜色的人和是这个颜色的人 交换一只手套 答案就是 （n-ans）*2 
否则一定所有的人都可以 满足左右手套颜色不一样

代码实现：

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;

int a[5002];
int num[1002];

int main()
{
    int i,n,m,k;
    while(~scanf("%d%d",&n,&m))
    {
        memset(num,0,sizeof(num));
        int maxx=0;
        for(i=0;i<n;i++)
        {
            scanf("%d",&a[i]);
            num[a[i]]++;
            if(num[a[i]]>maxx)
               maxx=num[a[i]];
        }
        int ans;
        sort(a,a+n);
        if(maxx*2>n)
            ans=(n-maxx)*2;
        else
            ans=n;
        printf("%d
",ans);
        for(i=0;i<n;i++)
            printf("%d %d
",a[i],a[(i+maxx)%n]);//相同颜色的都在一堆 而最大的一堆的maxx i+maxx就肯定不会是在i所属的那一堆  

    }
    return 0;
}