An original string, consisting of lowercase English letters, can be encoded by the following steps:

- Arbitrarily split it into a sequence of some number of non-empty substrings.
- Arbitrarily choose some elements (possibly none) of the sequence, and replace each with its length (as a numeric string).
- Concatenate the sequence as the encoded string.

For example, one way to encode an original string `"abcdefghijklmnop"` might be:

- Split it as a sequence: `["ab", "cdefghijklmn", "o", "p"]`.
- Choose the second and third elements to be replaced by their lengths, respectively. The sequence becomes `["ab", "12", "1", "p"]`.
- Concatenate the elements of the sequence to get the encoded string: `"ab121p"`.

Given two encoded strings `s1` and `s2`, consisting of lowercase English letters and digits `1-9` (inclusive), return `true` if there exists an original string that could be encoded as both `s1` and `s2`. Otherwise, return `false`.

Note: The test cases are generated such that the number of consecutive digits in `s1` and `s2` does not exceed `3`.

Example 1:

    Input: s1 = "internationalization", s2 = "i18n"
    Output: true
    Explanation: It is possible that "internationalization" was the original string.
    - "internationalization"
      -> Split:       ["internationalization"]
      -> Do not replace any element
      -> Concatenate:  "internationalization", which is s1.
    - "internationalization"
      -> Split:       ["i", "nternationalizatio", "n"]
      -> Replace:     ["i", "18",                 "n"]
      -> Concatenate:  "i18n", which is s2

Example 2:

    Input: s1 = "l123e", s2 = "44"
    Output: true
    Explanation: It is possible that "leetcode" was the original string.
    - "leetcode"
      -> Split:      ["l", "e", "et", "cod", "e"]
      -> Replace:    ["l", "1", "2",  "3",   "e"]
      -> Concatenate: "l123e", which is s1.
    - "leetcode"
      -> Split:      ["leet", "code"]
      -> Replace:    ["4",    "4"]
      -> Concatenate: "44", which is s2.

Example 3:

    Input: s1 = "a5b", s2 = "c5b"
    Output: false
    Explanation: It is impossible.
    - The original string encoded as s1 must start with the letter 'a'.
    - The original string encoded as s2 must start with the letter 'c'.

Constraints:

- `1 <= s1.length, s2.length <= 40`
- `s1` and `s2` consist of digits `1-9` (inclusive), and lowercase English letters only.
- The number of consecutive digits in `s1` and `s2` does not exceed `3`.