In the Wide Web World, Which web server was popular in web site? Apache, nginx, lighttpd? Baidu.com use Apache, and many web sites like 163.com use nginx. Why? Its configuration is very simple, and it has very powerful load balancing features. 

How does load balancing work? Load balancing is a technique to spread work between two or more computers in order to get optimal resource utilization, maximize throughput, and minimize response time. Wiskey very curious about this technology and he wants to build a simple load balancing model. 

He define the web site has M servers, and N jobs need be done. Each job has a processing time T; we seek to assign each job to one of the servers so that the loads placed on all servers are as "balanced" as possible. The "balanced" mean the Minimize it (max {TMi} - min {TMj}). TMi is the server i total time cost. 

But, as Wiskey Know, this scheduling problem of finding an assignment of minimum gap is NP-hard. 

Can you write a better load balancing than Wiskey? Challenge it~! 

Input

The first integer C represents the number of cases, And C cases followed. 

Each test case contains a single integer N (1<=N<=100000) and M (1<=M<=100). The next N line contains integers, meaning the time of job T1, T2Tn. (1<=Ti<=1000000) 

Output

For each test case, first output the N, and follows N numbers mean the job i assign to which server. The servers number count from 0.

Sample Input

2
6 3
2 3 4 6 2 2
6 3
6 4 3 2 2 2

Sample Output

6
0 1 2 0 1 2
6
0 1 1 2 2 2

Hint

Hint
This problem is special judge, if your assign plan (max {TMi} -min {TMj}) <= my answer + 1000, it be consider Accept.

如何将每一个任务分配到服务器上，使得最大的负载减去最小的负载最小

将每个任务从大到小排序然后 分配到最小的服务器上

这样的贪心好像是不太对。。。不过因为是spj 所以也判对了

很迷啊。。。

#include <iostream>
#include <stdio.h>
#include <queue>
#include <algorithm>
#define maxn 100000+5
using namespace std;
struct node {
    int j,f;
    int fs;
};
bool cmp1(node &x,node&y){
    return x.f<y.f;
}
bool cmp2(node &x,node &y){
    return x.j>y.j;
}
struct se{
    int fl,lo;
    bool operator >(const se& d)const{
        return lo>d.lo;
    }
};
int n,m;
node a[maxn];
int main(){
    int t;
    scanf("%d",&t);
    while(t--){
        scanf("%d%d",&n,&m);
        for(int i=0;i<n;i++){
            a[i].f=i;
            scanf("%d",&a[i].j);
        }
        priority_queue<se,vector<se>,greater<se> >q;
        for(int i=0;i<m;i++){
            se b;b.fl=i;b.lo=0;
            q.push(b);
        }
        sort(a,a+n,cmp2);
        for(int i=0;i<n;i++){
            se b=q.top();q.pop();
            b.lo+=a[i].j;
            a[i].fs=b.fl;
            q.push(b);
        }
        sort(a,a+n,cmp1);
        printf("%d\n",n);
        for(int i=0;i<n;i++){
            printf("%d",a[i].fs);
            if(i!=n-1)printf(" ");
            else printf("\n");
        }

    }
}