Problem: The length of the longest common prefix of two strings s = s_1 s_2 … s_n and t = t_1 t_2 … t_m is defined as the maximum integer k (0 ≤ k ≤ min(n,m)) such that s_1 s_2 … s_k equals t_1 t_2 … t_k.

Koa the Koala initially has n+1 strings s_1, s_2, ..., s_{n+1}.

For each i (1 ≤ i ≤ n) she calculated a_i — the length of the longest common prefix of s_i and s_{i+1}.

Several days later Koa found these numbers, but she couldn't remember the strings.

So Koa would like to find some strings s_1, s_2, ..., s_{n+1} which would have generated numbers a_1, a_2, ..., a_n. Can you help her?

If there are many answers print any. We can show that answer always exists for the given constraints. 

Input

Each test contains multiple test cases. The first line contains t (1 ≤ t ≤ 100) — the number of test cases. Description of the test cases follows.

The first line of each test case contains a single integer n (1 ≤ n ≤ 100) — the number of elements in the list a.

The second line of each test case contains n integers a_1, a_2, …, a_n (0 ≤ a_i ≤ 50) — the elements of a.

It is guaranteed that the sum of n over all test cases does not exceed 100.

Output

For each test case:

Output n+1 lines. In the i-th line print string s_i (1 ≤ |s_i| ≤ 200), consisting of lowercase Latin letters. Length of the longest common prefix of strings s_i and s_{i+1} has to be equal to a_i.

If there are many answers print any. We can show that answer always exists for the given constraints.

Example

Input


4
4
1 2 4 2
2
5 3
3
1 3 1
3
0 0 0


Output


aeren
ari
arousal
around
ari
monogon
monogamy
monthly
kevinvu
kuroni
kurioni
korone
anton
loves
adhoc
problems

Note

In the 1-st test case one of the possible answers is s = [aeren, ari, arousal, around, ari].

Lengths of longest common prefixes are:

  * Between \color{red}{a}eren and \color{red}{a}ri → 1 
  * Between \color{red}{ar}i and \color{red}{ar}ousal → 2 
  * Between \color{red}{arou}sal and \color{red}{arou}nd → 4 
  * Between \color{red}{ar}ound and \color{red}{ar}i → 2 

Solution (in PYTHON3):

Solution:
#Imports
from collections import defaultdict as dc
from collections import Counter 
from heapq import *
import math
from bisect import bisect_left,bisect
import sys
from collections import deque as dq
from heapq import heapify,heappush,heappop
mod=10**9 +7
import random 


# How to sort a list using two compare :
# instead of defining a function define class as a key
# class key(str):
#     def __lt__(x,y):#         return int(x+y)>int(y+x)
def sinp():
    p=str(sys.stdin.readline())
    return p
def seive(n):
    p=[0]*(n+1)
    for i in range(2,n):
        if p[i]==0:
            for j in range(2*i,n+1,i):
                p[i]=1
    return p
def lower_bound(a,i,n):
    #Number of element is equal or lower than it
    #return bisect(a,i)//One based index
    #Number of elementt lower than it
    return bisect_left(a,i)
def upper_bound(a,i,n):
    #Number of element greater than it
    #return n-bisect(a,i)
    #Number of element greater than or equal to it
    return n-bisect_left(a,i)
def inp(): 
    p=int(sys.stdin.readline())
    return p
def line():
    p=list(map(int,sys.stdin.readline().split()))
    return p
def read_mat():
    n=inp()
    a=[]
    for i in range(n):
        a.append(line())
    return a
def ind(a):
    return ord(a)-ord('A')
def digit(n):
    s=str(n)
    p=0
    for i in s:
        p+=(int(i))**2
    return p
def check(s,k):
    for i in range(7):
        if s[i]!='?' and s[i]!=k[i]:
            return 0
    return 1
q='abcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyzabcdefghijklmnopqrstuvwxyz'
def solve(n,a):
    ans=[]
    s=q[:a[0]]
    z=(a[0])%50
    if a[0]==0:
        s=q[z]
        z+=1
    ans.append(s)
    for i in range(n):
        if a[i]==0:
            ans.append(q[z])
            z=(z+1)%50
        elif len(ans[-1])>=a[i]:
            p=ans[-1][:a[i]]
            # print(p)
            ans.append(p)
        else:
            p=ans[-1]+q[z:z+(a[i]-len(ans[-1]))]
            z=(z+(a[i]-len(ans[-1])+1))%50
            # print(p)
            ans[-1]=p
            ans.append(p)
    return ans
            
t=inp()
for _ in range(t):
    n=inp()
    a=line()
    ans=solve(n,a)
    for z in ans:
        print(z)