This notebook was prepared by [Donne Martin](http://donnemartin.com). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges).

Solution Notebook

Problem: Determine if a string s1 is a rotation of another string s2, by calling (only once) a function is_substring

Constraints

  • Can you assume the string is ASCII?
    • Yes
    • Note: Unicode strings could require special handling depending on your language
  • Can you use additional data structures?
    • Yes
  • Is this case sensitive?
    • Yes

Test Cases

  • Any strings that differ in size -> False
  • None, 'foo' -> False (any None results in False)
  • ' ', 'foo' -> False
  • ' ', ' ' -> True
  • 'foobarbaz', 'barbazfoo' -> True

Algorithm

Examine the following test case:

  • s1 = 'barbazfoo'
  • s2 = 'foobarbaz'

We see that if we can use the given is_substring method if we take compare s2 with s1 + s1:

  • s2 = 'foobarbaz'
  • s3 = 'barbazfoobarbazfoo'

Complexity:

  • Time: O(n)
  • Space: O(n)

Code


In [1]:
def is_substring(s1, s2):
    return s1 in s2


def is_rotation(s1, s2):
    if s1 is None or s2 is None:
        return False
    if len(s1) != len(s2):
        return False
    s3 = s1 + s1
    return is_substring(s2, s3)

Unit Test


In [2]:
%%writefile test_rotation.py
from nose.tools import assert_equal


class TestRotation(object):

    def test_rotation(self):
        assert_equal(is_rotation('o', 'oo'), False)
        assert_equal(is_rotation(None, 'foo'), False)
        assert_equal(is_rotation('', 'foo'), False)
        assert_equal(is_rotation('', ''), True)
        assert_equal(is_rotation('foobarbaz', 'barbazfoo'), True)
        print('Success: test_rotation')


def main():
    test = TestRotation()
    test.test_rotation()


if __name__ == '__main__':
    main()


Overwriting test_rotation.py

In [3]:
%run -i test_rotation.py


Success: test_rotation