Given two strings s and t, return true if they are equal when both are typed into empty text editors. '#' means a backspace character.

Note that after backspacing an empty text, the text will continue empty.

Examples

Example 1

Input:  s = "ab#c", t = "ad#c"
Output: true

Both s and t become "ac".

Example 2

Input:  s = "ab##", t = "c#d#"
Output: true

Both s and t become "".

Example 3

Input:  s = "a#c", t = "b"
Output: false

s becomes "c" while t becomes "b".

Constraints

• 1 <= s.length, t.length <= 200
• s and t only contain lowercase letters and '#' characters.