string contains all chars ordered
Checking whether string a contains all the characters in string b in order can be done in O(n)time  and succinctly in python, by using an iterator.
1st = iter('hello')
2ar = 'el'
3print(all(c in st for c in ar))
This works because calling in on an iterator will continue calling it.next() until the item is met.
Therefore, iterating takes O(|a|) and there will be O(max(|a|, |b|)) comparisons.
Time complexity: O(n)
See also: