






"""simple docstring"""
import heapq





def 							lowercase__		(				lowerCamelCase,	lowerCamelCase,	lowerCamelCase					):
				_SCREAMING_SNAKE_CASE      :		Any							=						[(0, start)]  # cost from start node,end node
				_SCREAMING_SNAKE_CASE      :		Tuple							=						set()
				while heap:
								((_SCREAMING_SNAKE_CASE)		,	(_SCREAMING_SNAKE_CASE))      :		int							=						heapq.heappop(lowerCamelCase					)
								if u in visited:
												continue
								visited.add(lowerCamelCase					)
								if u == end:
												return cost
								for v, c in graph[u]:
												if v in visited:
																continue
												_SCREAMING_SNAKE_CASE      :		int							=						cost + c
												heapq.heappush(lowerCamelCase,	(next_item, v)					)
				return -1


lowerCAmelCase__							= {
    'A': [['B', 2], ['C', 5]],
    'B': [['A', 2], ['D', 3], ['E', 1], ['F', 1]],
    'C': [['A', 5], ['F', 3]],
    'D': [['B', 3]],
    'E': [['B', 4], ['F', 3]],
    'F': [['C', 3], ['E', 3]],
}
lowerCAmelCase__							= {
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['F', 3]],
    'F': [],
}
lowerCAmelCase__							= {
    'B': [['C', 1]],
    'C': [['D', 1]],
    'D': [['F', 1]],
    'E': [['B', 1], ['G', 2]],
    'F': [],
    'G': [['F', 1]],
}

lowerCAmelCase__							= dijkstra(G, 'E', 'C')
print(short_distance)  # E -- 3 --> F -- 3 --> C == 6

lowerCAmelCase__							= dijkstra(Ga, 'E', 'F')
print(short_distance)  # E -- 3 --> F == 3

lowerCAmelCase__							= dijkstra(Ga, 'E', 'F')
print(short_distance)  # E -- 2 --> G -- 1 --> F == 3

if __name__ == "__main__":
			import doctest

			doctest.testmod()









"""simple docstring"""
from .chunk_utils import chunk_layer
from .data_transforms import make_atomaa_masks
from .feats import atomaa_to_atomaa, frames_and_literature_positions_to_atomaa_pos, torsion_angles_to_frames
from .loss import compute_predicted_aligned_error, compute_tm
from .protein import Protein as OFProtein
from .protein import to_pdb
from .rigid_utils import Rigid, Rotation
from .tensor_utils import dict_multimap, flatten_final_dims, permute_final_dims

