Find All Possible Recipes from Given Supplies

Statement

You are given information about n different recipes. Each recipe is listed in the array recipes, and its corresponding ingredients are provided in the $2D$ array ingredients. The $i^{th}$ recipe, recipes[i], can be prepared if all the necessary ingredients listed in ingredients[i] are available. Some ingredients might need to be created from other recipes, meaning ingredients[i] may contain strings that are also in recipes.

Additionally, you have a string array supplies that contains all the ingredients you initially have, and you have an infinite supply of each.

Return a list of all the recipes you can create. The answer can be returned in any order.

Note: It is possible for two recipes to list each other as ingredients. However, if these are the only two recipes provided, the expected output is an empty list.

Constraints:

• n$==$ recipes.length $==$ ingredients.length

• $1 \leq$ n $\leq 100$

• $1 \leq$ ingredients[i].length, supplies.length $\leq 100$

• $1 \leq$ recipes[i].length, ingredients[i][j].length, supplies[k].length $\leq 10$

• recipes[i], ingredients[i][j], and supplies[k] consist only of lowercase English letters.

• All the combined values of recipes and supplies are unique.

• Each ingredients[i] doesn’t contain any duplicate values.

Examples