Write a python Program for magic square. A magic square is an n * n matrix of the integers 1 to n2 such that the sum of each row, column, and diagonal is the same. The figure given below is an example of magic square for case n=5. In this example, the common sum is 65.
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Programming Code:
def Magic(s,Size):
for i in range(0,size):
for j in range( 0,size):
s[i][j] = 0
nr = 0
nc = Size // 2
s[nr][nc] = 1
for i in range(2,(Size*Size)+1):
Row = nr
Col = nc
nr=nr-1
if (nr < 0 ):
nr = Size - 1
nc=nc-1
if ( nc < 0 ):
nc = Size - 1
if ( s[nr][nc] != 0):
nr = Row+1
nc =Col
s[nr][nc] = i
# Driver Code
size = int(input("Enter the size of the matrix (No. of Rows): "))
row = 0
col = 0
sq = [[0 for col in range(size)] for row in range(size)]
if (size % 2 == 0):
print("Error, Number of rows/cols should be odd.")
print("Press any key to terminate.")
exit()
else:
Magic(sq, size)
print("Magic Square is: ")
for i in range(0, size):
for j in range(0, size):
print(sq[i][j], end=" ")
print()
sum = 0
# Displaying the sum
for j in range(0, size):
sum = sum + sq[0][j]
print("\n Sum = ", sum)
Output:
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