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Relatively simple (and fast) solution in python 2:
m, n, r = [int(i) for i in raw_input().strip().split(' ')]
mat = [[int(i) for i in raw_input().strip().split(' ')] for _ in xrange(m)]
def printMat(mat):
for row in mat:
for elem in row:
print elem,
print
def rotateMatrix(matr, r):
offset = 0
while n - offset > n / 2 and m - offset > m / 2:
top = [(offset, i) for i in range(offset, n - offset, 1)]
right = [(i, n - 1 - offset) for i in range(offset + 1, m - 1 - offset, 1)]
bot = [(m - 1 - offset, i) for i in range(n - 1 - offset, offset - 1, -1)]
left = [(i, offset) for i in range(m - offset - 2, offset, -1)]
idx = top + right + bot + left
circle = [matr[p[0]][p[1]] for p in idx]
rMod = r % len(circle)
circle = circle[rMod:] + circle[0:rMod]
for q in range(len(idx)):
index = idx[q]
matr[index[0]][index[1]] = circle[q]
offset += 1
return matr
printMat(rotateMatrix(mat, r))
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Matrix Layer Rotation
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Relatively simple (and fast) solution in python 2: