



"""simple docstring"""





import unittest

from knapsack import knapsack as k
class    lowercase__     (					unittest.TestCase   ):







       '''simple docstring'''


       def   lowercase__       (							self    :						List[Any]					)				->		str:


             '''simple docstring'''




             UpperCAmelCase_    				=							0
             UpperCAmelCase_    				=							[0]
             UpperCAmelCase_    				=							[0]
             UpperCAmelCase_    				=							len(_lowercase					)
             self.assertEqual(k.knapsack(_lowercase	,       _lowercase	,       _lowercase	,       _lowercase					)	,       0					)

             UpperCAmelCase_    				=							[60]
             UpperCAmelCase_    				=							[10]
             UpperCAmelCase_    				=							len(_lowercase					)
             self.assertEqual(k.knapsack(_lowercase	,       _lowercase	,       _lowercase	,       _lowercase					)	,       0					)



       def   lowercase__       (							self    :						Optional[int]					)				->		Union[str, Any]:


             '''simple docstring'''




             UpperCAmelCase_    				=							3
             UpperCAmelCase_    				=							[1, 2, 3]
             UpperCAmelCase_    				=							[3, 2, 1]
             UpperCAmelCase_    				=							len(_lowercase					)
             self.assertEqual(k.knapsack(_lowercase	,       _lowercase	,       _lowercase	,       _lowercase					)	,       5					)







       def   lowercase__       (							self    :						Dict					)				->		Tuple:


             '''simple docstring'''




             UpperCAmelCase_    				=							50
             UpperCAmelCase_    				=							[60, 100, 120]
             UpperCAmelCase_    				=							[10, 20, 30]
             UpperCAmelCase_    				=							len(_lowercase					)
             self.assertEqual(k.knapsack(_lowercase	,       _lowercase	,       _lowercase	,       _lowercase					)	,       220					)


if __name__ == "__main__":
  unittest.main()









"""simple docstring"""





from heapq import heappop, heappush

import numpy as np
def      a__			(   lowerCAmelCase__			,    lowerCAmelCase__			,    lowerCAmelCase__			,    lowerCAmelCase__			,    ):
      UpperCAmelCase_				,					UpperCAmelCase_    				=							grid.shape
      UpperCAmelCase_    				=							[-1, 1, 0, 0]
      UpperCAmelCase_    				=							[0, 0, -1, 1]
      if allow_diagonal:
            dx += [-1, -1, 1, 1]
            dy += [-1, 1, -1, 1]

      UpperCAmelCase_				,					UpperCAmelCase_    				=							[(0, source)], set()
      UpperCAmelCase_    				=							np.full((rows, cols)			,    np.inf   )
      UpperCAmelCase_    				=							0
      UpperCAmelCase_    				=							np.empty((rows, cols)			,    dtype=lowerCAmelCase__   )
      UpperCAmelCase_    				=							None

      while queue:
            ((UpperCAmelCase_)				,					(UpperCAmelCase_))    				=							heappop(lowerCAmelCase__   )
            if (x, y) in visited:
                  continue
            visited.add((x, y)   )

            if (x, y) == destination:
                  UpperCAmelCase_    				=							[]
                  while (x, y) != source:
                        path.append((x, y)   )
                        UpperCAmelCase_				,					UpperCAmelCase_    				=							predecessors[x, y]
                  path.append(lowerCAmelCase__   )  # add the source manually
                  path.reverse()
                  return matrix[destination], path

            for i in range(len(lowerCAmelCase__   )   ):
                  UpperCAmelCase_				,					UpperCAmelCase_    				=							x + dx[i], y + dy[i]
                  if 0 <= nx < rows and 0 <= ny < cols:
                        UpperCAmelCase_    				=							grid[nx][ny]
                        if next_node == 1 and matrix[nx, ny] > dist + 1:
                              heappush(lowerCAmelCase__			,    (dist + 1, (nx, ny))   )
                              UpperCAmelCase_    				=							dist + 1
                              UpperCAmelCase_    				=							(x, y)

      return np.inf, []


if __name__ == "__main__":
  import doctest

  doctest.testmod()




