





from __future__ import annotations

import sys
from collections import deque
from typing import Generic, TypeVar

SCREAMING_SNAKE_CASE_   :      Tuple			=   TypeVar('''T''')

class 		snake_case_   (							Generic[T]						):







	'''simple docstring'''
	__UpperCamelCase   =		42  # Cache store of keys
	__UpperCamelCase   =		42  # References of the keys in cache
	__UpperCamelCase   =		10  # Maximum capacity of cache




	def __init__(						self							:     Optional[Any]					,      __lowerCamelCase							:     int   )       -> None:

			'''simple docstring'''




			__lowercase											=     deque()
			__lowercase											=     set()
			if not n:
					__lowercase											=     sys.maxsize
			elif n < 0:
					raise ValueError('n should be an integer greater than 0.'   )
			else:
					__lowercase											=     n




	def    UpperCAmelCase			(						self							:     Union[str, Any]					,      __lowerCamelCase							:     T   )       -> None:

			'''simple docstring'''




			if x not in self.key_reference:
					if len(self.dq_store   ) == LRUCache._MAX_CAPACITY:
							__lowercase											=     self.dq_store.pop()
							self.key_reference.remove(__lowerCamelCase   )
			else:
					self.dq_store.remove(__lowerCamelCase   )

			self.dq_store.appendleft(__lowerCamelCase   )
			self.key_reference.add(__lowerCamelCase   )




	def    UpperCAmelCase			(						self							:     Tuple   )       -> None:

			'''simple docstring'''




			for k in self.dq_store:
					print(__lowerCamelCase   )






	def __repr__(						self							:     int   )       -> str:

			'''simple docstring'''




			return F"LRUCache({self._MAX_CAPACITY}) => {list(self.dq_store   )}"


if __name__ == "__main__":
		import doctest

		doctest.testmod()

		SCREAMING_SNAKE_CASE_   :      LRUCache[str | int]			=   LRUCache(4)
		lru_cache.refer('''A''')
		lru_cache.refer(2)
		lru_cache.refer(3)
		lru_cache.refer('''A''')
		lru_cache.refer(4)
		lru_cache.refer(5)
		lru_cache.display()

		print(lru_cache)
		assert str(lru_cache) == "LRUCache(4) => [5, 4, 'A', 3]"











def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case						,   snake_case						,   snake_case							)		->    int:
		# Return True if there is node that has not iterated.
		__lowercase											=     [False] * len(snake_case							)
		__lowercase											=     []
		queue.append(snake_case							)
		__lowercase											=     True

		while queue:
				__lowercase											=     queue.pop(0							)
				for ind in range(len(graph[u]							)							):
						if visited[ind] is False and graph[u][ind] > 0:
								queue.append(snake_case							)
								__lowercase											=     True
								__lowercase											=     u

		return visited[t]



def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case						,   snake_case							)		->    Dict:
		# This array is filled by BFS and to store path
		__lowercase											=     [-1] * (len(snake_case							))
		__lowercase											=     0
		while bfs(snake_case						,   snake_case						,   snake_case						,   snake_case							):
				__lowercase											=     float('Inf'							)
				__lowercase											=     sink

				while s != source:
						# Find the minimum value in select path
						__lowercase											=     min(snake_case						,   graph[parent[s]][s]							)
						__lowercase											=     parent[s]

				max_flow += path_flow
				__lowercase											=     sink

				while v != source:
						__lowercase											=     parent[v]
						graph[u][v] -= path_flow
						graph[v][u] += path_flow
						__lowercase											=     parent[v]
		return max_flow


SCREAMING_SNAKE_CASE_   :      Any			=   [
    [0, 16, 13, 0, 0, 0],
    [0, 0, 10, 12, 0, 0],
    [0, 4, 0, 0, 14, 0],
    [0, 0, 9, 0, 0, 20],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

SCREAMING_SNAKE_CASE_	,SCREAMING_SNAKE_CASE_   :      Optional[Any]			=   0, 5


print(ford_fulkerson(graph, source, sink))




