Akhil Recovers The Lost Array

All submissions for this problem are available.
Read problems statements in Mandarin Chinese , Russian and Vietnamese as well.
Akhil has an array consisting of N positive integers. As we know that there are (N*(N+1))/2 nonempty contiguous subarrays in an array of size N. Akhil found that exactly E of the contiguous subarrays had even sum and remaining O = (N*(N+1))/2  E have odd sum.
Next day, he lost the original array. But he still remembered the E and O values correctly. Now, he wants to recreate any such array which has exactly E even sum continuous subarrays and O odd ones. If there are many such possible arrays, printing any one of them will make him happy.
Input
 The first line of the input contains an integer T denoting the number of test cases. The description of T test cases follows:
 First line of each test case contains an integer N denoting the length of lost array.
 Second line of each test case contains two space separated integers E and O, denoting number of contiguous subarrays with even and odd sums, respectively.
Output
 For each test case, output a single line containing all the integers of an array separated by a space.
 Each integer should lie between 0 and 100(both inclusive).
 If there is no such possible array, print 1 in a single line.
Constraints
 0 ≤ E, O ≤ N*(N+1)/2
 E + O = N*(N+1)/2
Subtasks
Example
Input: 3 3 2 4 3 3 3 3 0 6 Output: 2 1 2 1 2 2 1
Explanation
Example case 1. There are total 6 subarrays : {2},{1},{2},{2,1},{1,2},{2,1,2}. Their sums {2, 1, 2, 3, 3, 5} are respectively. As 2 of them are even and 4 of them are odd. So, this is one possible answer which satisfies Akhil's requirements.
Example case 3. There is no array of length 3 whose all the subarrays have odd sum. Akhil might have remembered something incorrectly. Hence, you should print 1.
Author:  amitpandeykgp 
Tester:  prateekg603 
Editorial  http://discuss.codechef.com/problems/ALOST 
Tags  amitpandeykgp, ltime36, numbertheory 
Date Added:  19042016 
Time Limit:  1 sec 
Source Limit:  50000 Bytes 
Languages:  C, CPP14, JAVA, PYTH, PYTH 3.6, PYPY, CS2, PAS fpc, PAS gpc, RUBY, PHP, GO, NODEJS, HASK, SCALA, D, PERL, FORT, WSPC, ADA, CAML, ICK, BF, ASM, CLPS, PRLG, ICON, SCM qobi, PIKE, ST, NICE, LUA, BASH, NEM, LISP sbcl, LISP clisp, SCM guile, JS, ERL, TCL, PERL6, TEXT, SCM chicken, PYP3, CLOJ, FS 
Comments
 Please login at the top to post a comment.
SUCCESSFUL SUBMISSIONS
Fetching successful submissions
HELP
If you are still having problems, see a sample solution here. 