You are given an integer n. Find any string s of length n consisting only of English lowercase letters such that each non-empty substring of s occurs in s an odd number of times. If there are multiple such strings, output any. It can be shown that such string always exists under the given constraints.

A string a is a substring of a string b if a can be obtained from b by deletion of several (possibly, zero or all) characters from the beginning and several (possibly, zero or all) characters from the end.

Input

The first line contains a single integer t (1 ≤ t ≤ 500) — the number of test cases.

The first line of each test case contains a single integer n (1 ≤ n ≤ 10^5).

It is guaranteed that the sum of n over all test cases doesn't exceed 3 ⋅ 10^5.

Output

For each test case, print a single line containing the string s. If there are multiple such strings, output any. It can be shown that such string always exists under the given constraints.

Example

Input


4
3
5
9
19


Output


abc
diane
bbcaabbba
youarethecutestuwuu

Note

In the first test case, each substring of "abc" occurs exactly once.

In the third test case, each substring of "bbcaabbba" occurs an odd number of times. In particular, "b" occurs 5 times, "a" and "bb" occur 3 times each, and each of the remaining substrings occurs exactly once.
import sys
import math
from math import *
import builtins
import collections
import bisect
import os
from io import BytesIO, IOBase


def print(x, end='\n'):
    sys.stdout.write(str(x) + end)


# IO helpers
def get_int():
    return int(input())


def get_list_ints():
    return list(map(int, input().split()))


def get_char_list():
    s = input()
    return list(s[:len(s) - 1])


def get_tuple_ints():
    return tuple(map(int, input().split()))


def print_iterable(p):
    print(" ".join(map(str, p)))

def CountFrequency(arr):
    return collections.Counter(arr) 
 
def reverse(s):
    l=len(s)
    for i in range(l//2):
        s[i],s[l-i-1]=s[l-i-1],s[i]
    return s


def binary_search(arr, x):
    low = 0
    high = len(arr) - 1
    mid = 0
    while low <= high:
        mid = (high + low) // 2
        if arr[mid] < x:
            low = mid + 1
        elif arr[mid] > x:
            high = mid - 1
        else:
            return mid
    return high

#STD lower bound equivalent in python
def lower_bound(arr,x):
    return bisect.bisect_left(arr, x, lo=0, hi=len(arr))
 
 #STD upper bound equivalent in python
def upper_bound(arr,x):
    return bisect.bisect_right(arr, x, lo=0, hi=len(arr))


def pow(a,n):
    if n==0:
        return 1
    elif n%2==0:
        return ((pow(a,n//2)%const)*(pow(a,n//2)%const))%const
    else:
        return ((pow(a,n//2)%const)*(pow(a,n//2)%const)*(a%const))%const

def main(): 
    n=get_int()
    for i in range(n):
        l=get_int()
        if l%2==0:
            stri="b"*(l//2-1)+"a"+"b"*(l//2)
            print(stri)
        else:
            if l==1:
                print("a")
            else:
                stri=((l-1)//2)*"a"+"bc"+((l-1)//2-1)*"a"
                print(stri)
    pass


##Fast Input Output

BUFSIZE = 8192


class FastIO(IOBase):
    newlines = 0

    def __init__(self, file):
        self._fd = file.fileno()
        self.buffer = BytesIO()
        self.writable = "x" in file.mode or "r" not in file.mode
        self.write = self.buffer.write if self.writable else None

    def read(self):
        while True:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            if not b:
                break
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines = 0
        return self.buffer.read()

    def readline(self):
        while self.newlines == 0:
            b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
            self.newlines = b.count(b"\n") + (not b)
            ptr = self.buffer.tell()
            self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
        self.newlines -= 1
        return self.buffer.readline()

    def flush(self):
        if self.writable:
            os.write(self._fd, self.buffer.getvalue())
            self.buffer.truncate(0), self.buffer.seek(0)


class IOWrapper(IOBase):
    def __init__(self, file):
        self.buffer = FastIO(file)
        self.flush = self.buffer.flush
        self.writable = self.buffer.writable
        self.write = lambda s: self.buffer.write(s.encode("ascii"))
        self.read = lambda: self.buffer.read().decode("ascii")
        self.readline = lambda: self.buffer.readline().decode("ascii")


sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")

# endregion

if __name__ == "__main__":
    main()