You have information about n
different recipes. You are given a string array recipes
and a 2D string array ingredients
. The ith
recipe has the name recipes[i]
, and you can create it if you have all the needed ingredients from ingredients[i]
. Ingredients to a recipe may need to be created from other recipes, i.e., ingredients[i]
may contain a string that is in recipes
.
You are also given a string array supplies
containing all the ingredients that you initially have, and you have an infinite supply of all of them.
Return a list of all the recipes that you can create. You may return the answer in any order.
Note that two recipes may contain each other in their ingredients.
Example 1:
Input: recipes = ["bread"], ingredients = [["yeast","flour"]], supplies = ["yeast","flour","corn"]
Output: ["bread"]
Explanation:
We can create "bread" since we have the ingredients "yeast" and "flour".
Example 2:
Input: recipes = ["bread","sandwich"], ingredients = [["yeast","flour"],["bread","meat"]], supplies = ["yeast","flour","meat"]
Output: ["bread","sandwich"]
Explanation:
We can create "bread" since we have the ingredients "yeast" and "flour".
We can create "sandwich" since we have the ingredient "meat" and can create the ingredient "bread".
Example 3:
Input: recipes = ["bread","sandwich","burger"], ingredients = [["yeast","flour"],["bread","meat"],["sandwich","meat","bread"]], supplies = ["yeast","flour","meat"]
Output: ["bread","sandwich","burger"]
Explanation:
We can create "bread" since we have the ingredients "yeast" and "flour".
We can create "sandwich" since we have the ingredient "meat" and can create the ingredient "bread".
We can create "burger" since we have the ingredient "meat" and can create the ingredients "bread" and "sandwich".
Constraints:
-
n == recipes.length == ingredients.length
-
1 <= n <= 100
-
1 <= ingredients[i].length, supplies.length <= 100
-
1 <= recipes[i].length, ingredients[i][j].length, supplies[k].length <= 10
-
recipes[i], ingredients[i][j]
, andsupplies[k]
consist only of lowercase English letters. - All the values of
recipes
andsupplies
combined are unique. - Each
ingredients[i]
does not contain any duplicate values.
SOLUTION:
class Solution:
def topologicalSort(self, graph, node, visited, stack, pos):
visited.add(node)
for n in graph.get(node, []):
if n not in visited:
self.topologicalSort(graph, n, visited, stack, pos)
if node in pos:
stack.append(pos[node])
def findAllRecipes(self, recipes: List[str], ingredients: List[List[str]], supplies: List[str]) -> List[str]:
graph = {}
supplies = set(supplies)
n = len(recipes)
for i in range(n):
for item in ingredients[i]:
graph[item] = graph.get(item, []) + [recipes[i]]
pos = {}
for i, item in enumerate(recipes):
pos[item] = i
stack = []
visited = set()
for node in graph:
if node not in visited:
self.topologicalSort(graph, node, visited, stack, pos)
for i in stack[::-1]:
valid = True
for item in ingredients[i]:
if item not in supplies:
valid = False
break
if valid:
supplies.add(recipes[i])
else:
recipes[i] = False
return [r for r in recipes if r]
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