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"""
# defensive precaution
if ((N * M) % 2 != 0):
return (0)
# boundary
if ((N <= 1 and M < 2) or
(N < 2 and M <= 1) or
(N <= 0) or (M <= 0)):
return (0)
if ((N == 1 and M == 2) or
(N == 2 and M == 1)):
return (1)
# recursion
retval = (
covManners(N, M-2) +
covManners(N-1, M) -
covManners(N-1, M-2)
) + (
covManners(N, M-1) +
covManners(N-2, M) -
covManners(N-2, M-1)
)
return (retval)
def covMannersGeneral(N, M, p, q):
"""NxM floor, PxQ brick
"""
# defensive precaution
if (p <= 0 or q <= 0):
return (0)
if ((N * M) % (p * q) != 0):
return (0)
# boundary
if ((N <= p and M < q) or
(N < q and M <= p) or
(N <= 0) or (M <= 0)):
return (0)
if ((N == p and M == q) or
(N == q and M == p)):
return (1)
# recursion
retval = (
covMannersGeneral(N, M-q, p, q) +
covMannersGeneral(N-p, M, p, q) -
covMannersGeneral(N-p, M-q, p, q)
) + (
covMannersGeneral(N, M-p, p, q) +
covMannersGeneral(N-q, M, p, q) -
covMannersGeneral(N-q, M-p, p, q)
)
return (retval)
def main():
# test
p, q = 1, 2
for n in range(-5, 9):
for m in range(-5, 9):
assert covManners(n, m) == covMannersGeneral(n, m, p, q)
print "%+d x %+d floor, %+d x %+d brick: %d" %(n, m, p, q,
covManners(n, m))
p, q = 2, 3
for n in range(-5, 9):
for m in range(-5, 9):
print "%+d x %+d floor, %+d x %+d brick: %d" %(n, m, p, q,
covMannersGeneral(n, m, p, q))
if __name__ == '__main__':
main()
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