#include<bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
using namespace std;
#define ff first
#define ss second
#define int long long
#define pb push_back
#define mp make_pair
#define pii pair<int,int>
#define vi vector<int>
#define mii map<int,int>
#define pqb priority_queue<int>
#define pqs priority_queue<int,vi,greater<int> >
#define setbits(x) __builtin_popcountll(x)
#define zrobits(x) __builtin_ctzll(x)
#define mod 1000000007
#define inf 1e18
#define ps(x,y) fixed<<setprecision(y)<<x
#define mk(arr,n,type) type *arr=new type[n];
#define w(x) int x; cin>>x; while(x--)
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef tree<int, null_type, less<int>, rb_tree_tag, tree_order_statistics_node_update> pbds;
void c_p_c()
{
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#ifndef ONLINE_JUDGE
freopen("/home/krishna/Documents/competitive/input.txt", "r", stdin);
freopen("/home/krishna/Documents/competitive/output.txt", "w", stdout);
#endif
}
int32_t main()
{
c_p_c();
w(t)
{
int n;
cin>>n;
mk(arr,n,int)
for(int i=0;i<n;i++)
{
cin>>arr[i];
}
int primes[11]={2,3,5,7,11,13,17,19,23,29,31};
mk(ans,n,int);
//memset(ans,-1ll,sizeof(ans));
for(int i=0;i<n;i++)
{
ans[i]=-1;
}
int currentCol=1;
for(auto prime:primes)
{
bool gotColor=false;
for(int i=0;i<n;i++)
{
if(ans[i]==-1)
{
if(arr[i]%prime==0)
{
ans[i]=currentCol;
gotColor=true;
}
}
}
if(gotColor)
currentCol++;
}
cout<<currentCol-1<<"\n";
for(int i=0;i<n;i++)
{
cout<<ans[i]<<" ";
}
cout<<endl;
}
return 0;
}
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