Problem: You have been blessed as a child of Omkar. To express your gratitude, please solve this problem for Omkar!

An array a of length n is called complete if all elements are positive and don't exceed 1000, and for all indices x,y,z (1 ≤ x,y,z ≤ n), a_{x}+a_{y} ≠ a_{z} (not necessarily distinct).

You are given one integer n. Please find any complete array of length n. It is guaranteed that under given constraints such array exists.

Input

Each test contains multiple test cases. The first line contains t (1 ≤ t ≤ 1000) — the number of test cases. Description of the test cases follows.

The only line of each test case contains one integer n (1 ≤ n ≤ 1000).

It is guaranteed that the sum of n over all test cases does not exceed 1000.

Output

For each test case, print a complete array on a single line. All elements have to be integers between 1 and 1000 and for all indices x,y,z (1 ≤ x,y,z ≤ n) (not necessarily distinct), a_{x}+a_{y} ≠ a_{z} must hold.

If multiple solutions exist, you may print any.

Example

Input


2
5
4


Output


1 5 3 77 12
384 384 44 44

Note

It can be shown that the outputs above are valid for each test case. For example, 44+44 ≠ 384.

Below are some examples of arrays that are NOT complete for the 1st test case:

[1,2,3,4,5] 

Notice that a_{1}+a_{2} = a_{3}.

[1,3000,1,300,1] 

Notice that a_{2} = 3000 > 1000.

Solution (in PYTHON3):

Solution:
import sys
import os
from io import BytesIO, IOBase

#########################
# imgur.com/Pkt7iIf.png #
#########################



# def cel(n, k): return n // k + (n % k != 0)
def ii(): return int(input())
def mi(): return map(int, input().split())
def li(): return list(map(int, input().split()))
def lcm(a, b): return abs(a * b) // gcd(a, b)
def prr(a, sep=' '): print(sep.join(map(str, a)))
def ddi(): return defaultdict(int)
def ddl(): return defaultdict(list)
def ddd(): return defaultdict(defaultdict(int))

# region fastio

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")

from collections import defaultdict 
# from collections import deque
#from collections import OrderedDict
from math import gcd,pi,inf
#import time
#import itertools
#import timeit
# import random
# from bisect import bisect_left as bl
# from bisect import bisect_right as br
#from bisect import insort_left as il
#from bisect import insort_right as ir
#from heapq import *
# from queue import PriorityQueue
#mod=998244353
#mod=10**9+7



for _ in range(ii()):
        n=ii()
        res=[1]*n
        print(*res)