Sample'Answer'for'Programming'Assignment'Unit'4'
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Python!Program!
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#!Return!True!if!x!is!divisible!by!y,!otherwise!False!
def!is_divisible(x,!y):!
!!!!if!x!%!y!==!0:!
!!!!!!!!return!True!
!!!!else:!
!!!!!!!!return!False!
!
#!Return!True!if!a!is!an!integer!power!of!b,!otherwise!False!
#!Expects!both!arguments!to!be!nonzero!
def!is_power(a,!b):!
!!!!if!a!==!b:!#!base!case!where!a/b!==!1!
!!!!!!!!return!True!
!!!!elif!b!==!1:!#!base!case!where!b!==!1!but!a!does!not!!
!!!!!!!!return!False!
!!!!else:!
!!!!!!!!return!is_divisible(a,!b)!and!is_power(a/b,!b)!
!
print("is_power(10,!2)!returns:!",!is_power(10,!2))!
print("is_power(27,!3)!returns:!",!is_power(27,!3))!
print("is_power(1,!1)!returns:!",!is_power(1,!1))!
print("is_power(10,!1)!returns:!",!is_power(10,!1))!
print("is_power(3,!3)!returns:!",!is_power(3,!3))!
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Output!for!Python!3!
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is_power(10, 2) returns: False
is_power(27, 3) returns: True
is_power(1, 1) returns: True
is_power(10, 1) returns: False
is_power(3, 3) returns: True
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Output!for!Python!2!
!
('is_power(10, 2) returns: ', False)
('is_power(27, 3) returns: ', True)
('is_power(1, 1) returns: ', True)
('is_power(10, 1) returns: ', False)
('is_power(3, 3) returns: ', True)
!