#include <bits/stdc++.h>
#define LSOne(s) ((S) & (-S))

using namespace std;
typedef long long int ll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<bool> vb;
typedef vector<vi> vvi;
typedef vector<vll> vvll;
typedef vector<vb> vvb;

void solve(){
    ll n,i,a,k,t,m,actual,ini,fin;
    cin>>n;
    vector<pair<ll,ll> > datos(n);
    for(i=0;i<n;i++){
        cin>>datos[i].first;
        datos[i].second=i;
    }
    ll conteo=0;
    vector<ll> elementos(n);
    sort(datos.begin(),datos.end());
    conteo=0;
    actual=n;
    ini=0;
    fin=n;
    bool posible=1;
    ll aux;
    ll positivos=0;
    while(ini<fin && actual>0){
        if(conteo<datos[ini].first && ini<fin){
            while(conteo<datos[ini].first && ini<fin){
                aux = fin;
                while(fin>0 && datos[fin-1].first==datos[fin-2].first){
                    elementos[datos[fin-1].second]=actual;
                    fin--;
                    conteo++;
                    positivos++;
                }
                if(fin-ini+positivos!=datos[fin-1].first){
                    posible=0;
                }
                elementos[datos[fin-1].second]=actual;
                fin--;
                conteo++;
                positivos++;
            }
            actual--;
        }
        if(ini>=fin)continue;
        if(actual==0){
            posible=0;
            continue;
        }
        if(conteo==datos[ini].first){
            while(datos[ini].first==datos[ini+1].first && ini<fin-1){
                elementos[datos[ini].second]=-actual;
                ini++;
            }
            elementos[datos[ini].second]=-actual;
            ini++;
        }else{
            posible=0;
        }
        actual--;
    }
    if(posible){
        cout<<"YES\n";
        for(i=0;i<n;i++){
            cout<<elementos[i]<<" ";
        }
        cout<<"\n";
    }else{
        cout<<"NO\n";
    }
}

int main()
{
    ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    ll t;
    cin>>t;
    while(t--)solve();
    return 0;
}

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

CgozNQozCjEgMSAzIAoyCjIgMCAKNgo1IDAgMyAxIDUgNSAKMQoxIAoxCjAgCjMKMCAyIDEgCjMKMCAwIDAgCjQKMiA0IDAgMCAKMwoxIDEgMCAKMgowIDEgCjIKMSAyIAo1CjMgNCAzIDEgMiAKMQoxIAo2CjAgMSAxIDIgMSAwIAozCjAgMiAzIAoxCjAgCjYKNSAyIDAgMSAwIDEgCjQKMyAxIDMgMyAKMgoyIDIgCjIKMiAyIAozCjEgMSAwIAo2CjIgNiA2IDEgMyAxIAozCjAgMyAwIAo2CjUgMCA2IDQgNSAzIAoxCjAgCjMKMiAyIDMgCjIKMCAwIAo1CjUgNSAxIDQgNCAKNAozIDIgMiAxIAo3CjYgNCAzIDYgMCA1IDcgCjcKMCAwIDEgMCA2IDQgMyAKNAo0IDEgMSAwIAoyCjIgMSAKNgo2IDMgNCA2IDEgMSAKMgowIDIgCgo=

35
3
1 1 3 
2
2 0 
6
5 0 3 1 5 5 
1
1 
1
0 
3
0 2 1 
3
0 0 0 
4
2 4 0 0 
3
1 1 0 
2
0 1 
2
1 2 
5
3 4 3 1 2 
1
1 
6
0 1 1 2 1 0 
3
0 2 3 
1
0 
6
5 2 0 1 0 1 
4
3 1 3 3 
2
2 2 
2
2 2 
3
1 1 0 
6
2 6 6 1 3 1 
3
0 3 0 
6
5 0 6 4 5 3 
1
0 
3
2 2 3 
2
0 0 
5
5 5 1 4 4 
4
3 2 2 1 
7
6 4 3 6 0 5 7 
7
0 0 1 0 6 4 3 
4
4 1 1 0 
2
2 1 
6
6 3 4 6 1 1 
2
0 2