a square matrix A of dimensions NxN. You need to apply the below given 3 operations on matrix A.
Rotation: It represented as R S where S is integer in {90, 180, 270, 360, 450, .} which denotes the number of degrees to rotate. You need to rotate matrix A by angle S in the clockwise angle of rotation(S) will always be in multiples of 90 degrees.
Update: It is represented as U X Y Z. In initial matrix A (as given in input), you need to update the element at row index X and column index Y with value Z.
After the update, all the previous rotation operations have to be applied to the updated initial matrix.
Query: It is represented as Q K L. need to print the value at row index K and column index L of the matrix A.
Next N lines contain N space-separated integers Aij (i - index row, j - index of column)
-1 will represent the end of input.
S Input:
2
5 6
7 8
R 90
Q 0 1
R 270
Q 1 1
R 180
U 0 0 4
Q 0 0
-1
op:
5
8
8
def Query(Q,K,L):
return(Q[K][L])
def UpdateVal(U,X,Y,Z):
U[X][Y]=Z
return(U)
#Array matrix rotation
def Rotate(Arr,Angle):
A = int(Angle/90)
for n in range(0,A):
M = len(Arr[0])
for i in range(M // 2):
for j in range(i, M - i - 1):
t = Arr[i][j]
Arr[i][j] = Arr[M - 1 - j][i]
Arr[M - 1 - j][i] = Arr[M - 1 - i][M - 1 - j]
Arr[M - 1 - i][M - 1 - j] = Arr[j][M - 1 - i]
Arr[j][M - 1 - i] = t
return(Arr)
arr = [ [ 1, 2, 3, 4 ],
[ 5, 0, 7, 8 ],
[ 9, 10, 11, 12 ],
[ 103, 104, 105, 106 ] ]
S=[90,180,270,360]
print("Input Array:")
N = len(arr[0])
for i in range(0,N):
for j in range(0,N):
print(arr[i][j],end=" ")
print()
for r in range (0,len(S)):
NewArr = Rotate(arr,S[r])
print("Rotated Array at an angle = %d:"%S[r])
for i in range(0,N):
for j in range(0,N):
print(NewArr[i][j],end=" ")
print()
print("\n")
print("\Input Array:")
N = len(arr[0])
for i in range(0,N):
for j in range(0,N):
print(arr[i][j],end=" ")
print()
arr = UpdateVal(arr,2,1,20)
print("\nArray after updation: ")
for r in range(0,N):
for j in range(0,N):
print(arr[r][j],end=" ")
print()
for r in range (0,len(S)):
NewArr = Rotate(arr,S[r])
print("Rotated Array at an angle = %d:"%S[r])
for i in range(0,N):
for j in range(0,N):
print(NewArr[i][j],end=" ")
print()
print("\n")
print("\nQuerying Result:")
print(Query(arr,2,2))
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