You are given three strings word1, word2, and target.

Return the total number of distinct ways to construct target by selecting and interleaving characters from word1 and word2.

A selection of characters is valid if:

• The characters chosen from word1 maintain their relative order in word1.

• The characters chosen from word2 maintain their relative order in word2.

• At least $1$ character is selected from word1 and at least $1$ character is selected from word2.

• The concatenated sequence of selected characters equals target.

Two ways are considered distinct if they use a different sequence of indices from word1 or word2.

Constraints:

• $1 \leq$ word1.length, word2.length, target.length $\leq 100$

• word1, word2, and target consist of lowercase English letters only.

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.