


from typing import List

import numpy as np







def        _lowerCamelCase(	lowercase__	)						->	int:

		'''simple docstring'''







		__lowercase=			{key: len(lowercase__	) for key, value in gen_kwargs.items() if isinstance(lowercase__   , lowercase__	)}
		if len(set(lists_lengths.values()	)	) > 1:
				raise RuntimeError(
				    (
				        'Sharding is ambiguous for this dataset: '
				        + 'we found several data sources lists of different lengths, and we don\'t know over which list we should parallelize:\n'
				        + '\n'.join(F'\t- key {key} has length {length}' for key, length in lists_lengths.items()	)
				        + '\nTo fix this, check the \'gen_kwargs\' and make sure to use lists only for data sources, '
				        + 'and use tuples otherwise. In the end there should only be one single list, or several lists with the same length.'
				    )	)
		__lowercase=			max(lists_lengths.values()   , default=0	)
		return max(1   , lowercase__	)







def        _lowerCamelCase(	lowercase__   , lowercase__	)						->	List[range]:

		'''simple docstring'''







		__lowercase=			[]
		for group_idx in range(lowercase__	):
				__lowercase=			num_shards // max_num_jobs + (group_idx < (num_shards % max_num_jobs))
				if num_shards_to_add == 0:
						break
				__lowercase=			shards_indices_per_group[-1].stop if shards_indices_per_group else 0
				__lowercase=			range(lowercase__   , start + num_shards_to_add	)
				shards_indices_per_group.append(lowercase__	)
		return shards_indices_per_group







def        _lowerCamelCase(	lowercase__   , lowercase__	)						->	List[dict]:

		'''simple docstring'''







		__lowercase=			_number_of_shards_in_gen_kwargs(lowercase__	)
		if num_shards == 1:
				return [dict(lowercase__	)]
		else:
				__lowercase=			_distribute_shards(num_shards=lowercase__   , max_num_jobs=lowercase__	)
				return [
				    {
				        key: [value[shard_idx] for shard_idx in shard_indices_per_group[group_idx]]
				        if isinstance(lowercase__   , lowercase__	)
				        else value
				        for key, value in gen_kwargs.items()
				    }
				    for group_idx in range(len(lowercase__	)	)
				]







def        _lowerCamelCase(	lowercase__	)						->	dict:

		'''simple docstring'''







		return {
		    key: [value for gen_kwargs in gen_kwargs_list for value in gen_kwargs[key]]
		    if isinstance(gen_kwargs_list[0][key]   , lowercase__	)
		    else gen_kwargs_list[0][key]
		    for key in gen_kwargs_list[0]
		}







def        _lowerCamelCase(	lowercase__   , lowercase__	)						->	dict:

		'''simple docstring'''







		__lowercase=			{len(lowercase__	) for value in gen_kwargs.values() if isinstance(lowercase__   , lowercase__	)}
		__lowercase=			{}
		for size in list_sizes:
				__lowercase=			list(range(lowercase__	)	)
				rng.shuffle(indices_per_size[size]	)
		# Now let's copy the gen_kwargs and shuffle the lists based on their sizes
		__lowercase=			dict(lowercase__	)
		for key, value in shuffled_kwargs.items():
				if isinstance(lowercase__   , lowercase__	):
						__lowercase=			[value[i] for i in indices_per_size[len(lowercase__	)]]
		return shuffled_kwargs










def        _lowerCamelCase(	lowercase__   , lowercase__   , lowercase__   , lowercase__	)						->	Union[str, Any]:

		'''simple docstring'''







		__lowercase=			[False] * len(lowercase__	)
		__lowercase=			[]
		queue.append(lowercase__	)
		__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(lowercase__	)
								__lowercase=			True
								__lowercase=			u

		return visited[t]







def        _lowerCamelCase(	lowercase__   , lowercase__   , lowercase__	)						->	int:

		'''simple docstring'''







		__lowercase=			[-1] * (len(lowercase__	))
		__lowercase=			0
		while bfs(lowercase__   , lowercase__   , lowercase__   , lowercase__	):
				__lowercase=			float('Inf'	)
				__lowercase=			sink

				while s != source:
						# Find the minimum value in select path
						__lowercase=			min(lowercase__   , 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


lowerCAmelCase           =		[
    [0, 1_6, 1_3, 0, 0, 0],
    [0, 0, 1_0, 1_2, 0, 0],
    [0, 4, 0, 0, 1_4, 0],
    [0, 0, 9, 0, 0, 2_0],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

lowerCAmelCase       ,lowerCAmelCase           =		0, 5
print(ford_fulkerson(graph, source, sink))






