>>> def gen_include_n(n, k):
... a = zip(range(0, n + 1, k), range(k - 1, n + k, k))
... a[-1] = (a[-1][0], min(n, a[-1][1]))
... return a
...
>>> gen_include_n(10,1)
[(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8), (9, 9), (10, 10)]
>>> gen_include_n(10,2)
[(0, 1), (2, 3), (4, 5), (6, 7), (8, 9), (10, 10)]
>>> gen_include_n(10,6)
[(0, 5), (6, 10)]
>>> gen_include_n(10,10)
[(0, 9), (10, 10)]
>>> gen_include_n(10,11)
[(0, 10)]
>>> def gen_exclude_n(n, k):
... a = zip(range(0, n, k), range(k - 1, n + k - 1, k))
... a[-1] = (a[-1][0], min(n - 1, a[-1][1]))
... return a
...
>>> gen_exclude_n(10,1)
[(0, 0), (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (7, 7), (8, 8), (9, 9)]
>>> gen_exclude_n(10,2)
[(0, 1), (2, 3), (4, 5), (6, 7), (8, 9)]
>>> gen_exclude_n(10,6)
[(0, 5), (6, 9)]
>>> gen_exclude_n(10,10)
[(0, 9)]
>>> gen_exclude_n(10,11)
[(0, 9)]