XOR Rounds

Problem code: RESN02

All submissions for this problem are available.

You are given a cyclic array A having N numbers. In an XOR round, each element of the array A is replaced by the bitwise XOR (Exclusive OR) of itself, the previous element, and the next element in the array. All operations take place simultaneously. Can you calculate A after K such XOR 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 <= 500) 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 XOR rounds.

Example

Input:
2
3 1
1 2 3
5 100
1 11 111 1111 11111

Output:
0 0 0
11117 101 1075 12127 12081

Date: 2009-12-16
Time limit: 15s
Source limit: 50000
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Comments

This was a nice one :D

hugochiquito @ 4 Nov 2010 08:53 PM

This was a nice one :D

am getting time limit

jacksparrow007 @ 13 Feb 2011 09:17 PM

am getting time limit exceeded for my python soln (the sample inputs are running successfully locally)

could anybody give suggestions for improving the time

here is my soln

import copy
def solve():
b1=raw_input().split()
b=int(b1[0])
c=int(b1[1])
d=[]
d=raw_input().split()
for i in range(b):
d[i]=int(d[i])

q2=c
while q2>0:
templist=copy.deepcopy(d)

for s in range(b):
if s==b-1:
d[s]=templist[s]^templist[s-1]^templist[0]
else:
d[s]=templist[s]^templist[s-1]^templist[s+1]
q2=q2-1
for t1, t2 in enumerate(d):
print t2,
print

a=int(raw_input())
for i in range(a):
solve()

my email address is

jacksparrow007 @ 13 Feb 2011 09:18 PM

my email address is anandghegde@gmail.com

jacksparrow007, Results in

az20110303 @ 23 Sep 2011 07:48 AM
jacksparrow007, Results in array become periodical starting from some iteration.

can someone tell me how can i

h_25 @ 29 Dec 2011 09:22 PM
can someone tell me how can i see my program running time...

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