#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define int long long
using namespace std;
inline int read()
{
	char c=getchar();int x=0;bool f=0;
	for(;!isdigit(c);c=getchar())f^=!(c^45);
	for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
	if(f)x=-x;return x;
}

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;

#define maxn 200005
#define inf 0x3f3f3f3f

int n,b[maxn],a[maxn];
bool vis[maxn];
void work()
{
	n=read();
	For(i,1,n)b[i]=read(),vis[i]=0;
	For(i,1,n){
		if(b[1]!=1){
			puts("NO");
			return;
		}
		if(b[i]<b[i-1] || b[i]>b[i-1]+1){
			puts("NO");
			return;
		}
		vis[i]=b[i]-b[i-1];
	}
	puts("YES");
	int p1=n-b[n]+1,p2=n-b[n];
	For(i,1,n)
		if(vis[i])cout<<p1<<" ",++p1;
		else cout<<p2<<" ",--p2;
	puts("");
}

signed main()
{
	int T=read();
	while(T--)work(); 
	return 0;
}