splendid-matrices-10

Rani has challenged Nandu to generate Splendid Matrices. Splendid matrices are square matrices with dimensions 2^n X 2^n filled in a particular manner. To explain this manner, Rani gives Nandu the matrices for n=1, n=2 and n=3 : 

n=1
1 2
3 4

n=2 (spacing for clarity)
1  2  5  6
3  4  7  8
9  10 13 14
11 12 15 16

n=3 (spacing for clarity)
1  2  5  6  17 18 21 22 
3  4  7  8  19 20 23 24 
9  10 13 14 25 26 29 30 
11 12 15 16 27 28 31 32 
33 34 37 38 49 50 53 54 
35 36 39 40 51 52 55 56 
41 42 45 46 57 58 61 62 
43 44 47 48 59 60 63 64

Given n, please help Nandu in generating the Splendid Matrix with dimensions 2^n X 2^n.
Input
A single line consisting of n.
Output
n lines. Each line should consist of n integers separated by single spaces.
Constraints
1 < = n < = 10

SAMPLE INPUT
3

SAMPLE OUTPUT
1 2 5 6 17 18 21 22 
3 4 7 8 19 20 23 24 
9 10 13 14 25 26 29 30 
11 12 15 16 27 28 31 32 
33 34 37 38 49 50 53 54 
35 36 39 40 51 52 55 56 
41 42 45 46 57 58 61 62 
43 44 47 48 59 60 63 64

Source: hackerearth | Difficulty: EASY


Solutions:
# Splendid Matrices
matrix=[[0 for x in range(1024)] for x in range(1024)]
 
def splendid(n,s,a,b):
	if n>1:
		p=(2**(n-1))*(2**(n-1))
		k=(2**n)/2;
		splendid(n-1,s,a,b)
		splendid(n-1,s+p,a,b+k)
		splendid(n-1,s+p*2,a+k,b)
		splendid(n-1,s+p*3,a+k,b+k)
 
	elif n==1:
		matrix[a][b] = s
		matrix[a][b+1]=s+1
		matrix[a+1][b]=s+2
		matrix[a+1][b+1]=s+3
 
n=int(input())
N=2**n
splendid(n,1,0,0)


#Printing the Matrix
for i in range(0,2**n):
	for j in range(0,2**n):
		print(matrix[i][j], end=' ')
	print()


n=eval(input())

base=((1,2),(3,4))

def modify_mat(val,mat):

	mat = list(mat)
	for i in range(0,len(mat)):
		for j in range(0,len(mat[i])):
			mat[i] = list(mat[i])
			mat[i][j] = mat [i][j] +val
			mat[i]=tuple(mat[i])
	# for each in mat:
	# 	for every in each:
	# 		every = every + val
	
	mat = tuple(mat)
	return mat

for i in range(1,n):
	b2=tuple(base)
	b3=tuple(base)
	b4=tuple(base)
	
	value=base[-1][-1]
	b2=modify_mat(value,b2)
	
	value=b2[-1][-1]
	b3=modify_mat(value,b3)
	
	value=b3[-1][-1]
	b4=modify_mat(value,b4)

	base = list(base)

	b3 = list(b3)
	for j in range(0,2**i):
		base[j] = base [j] + b2 [j]
		b3[j] = b3[j] + b4[j]
	
	for each in b3:
		base.append(each)
		
for each in base:
	for every in each:
		print(every, end=' ')
	print() 


n=input()
n=int(n)
size=pow(2,n)
matlist=[[1 for x in range(size)] for x in range(size)] 
def gen(n,s,a,b):
	i=0
	#print "gen(n,s,a,b)%i,%i,%i,%i",n,s,a,b
	if n>1:
		p=pow(2,n-1)*pow(2,n-1)
		k=pow(2,n)/2
		gen(n-1,s,a,b)
		#print '****** after first *****'
		gen(n-1,s+p,a,b+k)
		
		#print '****** after second *****'
		gen(n-1,s+p*2,a+k,b)
		#print '****** after third *****'
		gen(n-1,s+p*3,a+k,b+k)
		#print '****** after fourth *****'
	if n==1:
		
		#print "matlist[%i][%i]=%",a,b,s
		#print "matlist[%i][%i]=%",a,b+1,s+1
		#print "matlist[%i][%i]=%",a+1,b,s+2
		#print "matlist[%i][%i]=%",a+1,b+1,s+3
		matlist[a][b]=s
		matlist[a][b+1]=s+1
		matlist[a+1][b]=s+2
		matlist[a+1][b+1]=s+3

gen(n,1,0,0)
i=0
while(i<size):
	print(' '.join(map(str, matlist[i])))
	i=i+1





# Splendid Matrices
matrix=[[0 for x in range(1024)] for x in range(1024)]
 
def splendid(n,s,a,b):
	if n>1:
		p=(2**(n-1))*(2**(n-1))
		k=(2**n)/2;
		splendid(n-1,s,a,b)
		splendid(n-1,s+p,a,b+k)
		splendid(n-1,s+p*2,a+k,b)
		splendid(n-1,s+p*3,a+k,b+k)
 
	elif n==1:
		matrix[a][b] = s
		matrix[a][b+1]=s+1
		matrix[a+1][b]=s+2
		matrix[a+1][b+1]=s+3

if __name__=='__main__':
	n=int(input())
	N=2**n
	splendid(n,1,0,0)
	 
	 
	#Printing the Matrix
	for i in range(0,2**n):
			for j in range(0,2**n):
					print(matrix[i][j], end=' ')
			print()


'''
# Read input from stdin and provide input before running code

name = raw_input('What is your name?\n')
print 'Hi, %s.' % name
'''


matrix = [[0 for x in range(1024)] for x in range(1024)]

def splendid(n, s, a, b):
	if n > 1:
		p = pow(2, n - 1) * pow(2, n - 1)
		k = pow(2, n) / 2;
		splendid(n - 1, s, a, b)
		splendid(n - 1, s + p, a, b + k)
		splendid(n - 1, s + p * 2, a + k, b)
		splendid(n - 1, s + p * 3, a + k, b + k)

	elif n == 1:
		matrix[a][b] = s
		matrix[a][b + 1] = s + 1
		matrix[a + 1][b] = s + 2
		matrix[a + 1][b + 1] = s + 3

n=int(input())
N = pow(2, n)
splendid(n, 1, 0, 0)
for i in range(0,N):
	for j in range(0,N):
		print(str(matrix[i][j] )+'', end=' ')
	print('\n', end=' ')