花花酱 LeetCode 205. Isomorphic Strings

Given two strings s and t, determine if they are isomorphic.

Two strings s and t are isomorphic if the characters in s can be replaced to get t.

All occurrences of a character must be replaced with another character while preserving the order of characters. No two characters may map to the same character, but a character may map to itself.

Example 1:

Input: s = "egg", t = "add"
Output: true

Example 2:

Input: s = "foo", t = "bar"
Output: false

Example 3:

Input: s = "paper", t = "title"
Output: true

Constraints:

• 1 <= s.length <= 5 * 104
• t.length == s.length
• s and t consist of any valid ascii character.

Solution: Counting

The # of distinct pairs e.g. (s[i], t[i]), should be equal to the # of distinct chars in s and t.
ex1:
set of pairs: {(e, a), (g,d)}
set of s: {e, g}
set of t: {a, d}
For s, we can replace e with a, and replace g with d.
ex2:
set of pairs: {(f, b), (o, a), (o, r)}
set of s: {f, o}
set of t: {b, a, r}
o can not pair with a, r at the same time.
ex3:
set of pairs: {(p, t), (a, i), (e, l), (r, e)}
set of s: {p, a, e, r}
set of t: {t, i, l, e}

Time complexity: O(n)
Space complexity: O(256*256)