ANDROUND  AND Rounds
You are given a cyclic array A having N numbers. In an AND round, each element of the array A is replaced by the bitwise AND of itself, the previous element, and the next element in the array. All operations take place simultaneously. Can you calculate A after K such AND rounds ?
Input
The first line contains the number of test cases T (T <= 50).
There follow 2T lines, 2 per test case. The first line contains two space seperated integers N (3 <= N <= 20000) and K (1 <= K <= 1000000000). The next line contains N space seperated integers Ai (0 <= Ai <= 1000000000), which are the initial values of the elements in array A.
Output
Output T lines, one per test case. For each test case, output a space seperated list of N integers, specifying the contents of array A after K AND rounds.
Example
Sample Input: 2 3 1 1 2 3 5 100 1 11 111 1111 11111 Sample Output: 0 0 0 1 1 1 1 1
hide comments
xariniov9:
20170526 10:48:19
Why the answer of first test case 0 0 0?


nabila ahmed:
20161102 06:08:49
Very interesting problem. Solved with BIT :)


dwij28:
20160822 17:30:29
I don't know about how others solved it but for me Segment Tree worked wonders, constant TLE and WA before that. Last edit: 20160822 17:30:42 

praval_singhal:
20160713 22:25:21
What a blunder i was committing. 0&A=a. :P finally AC 

karthik1997:
20160611 19:42:01
Uff ... Solved with O(n*32) approach ... ( Use Int)...


minhthai:
20160229 10:06:45
it can be solved in ~O(n) :) Last edit: 20160229 10:06:53 

codezilla:
20160223 20:13:57
Use int instead of long long to ensure no TLE. 

pika_pika:
20151024 09:56:39
The judge is checking whitespaces at the end of each lines. got many WA due to that. Please fix. 

Ashish Tilokani:
20150125 11:09:17
n>20000 

cegprakash:
20150108 15:51:08
Go for XORROUND as well! 
Added by:  Varun Jalan 
Date:  20100111 
Time limit:  1s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: NODEJS OBJC PERL6 SQLITE VB.NET 
Resource:  Own Problem, used for Codechef Snackdown http://www.codechef.com/ 