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This is perfect python code using dijkstra algorithm.
importheapqdefmatrix_to_weighted_graph(matrix):rows,cols=len(matrix),len(matrix[0])graph={}foriinrange(rows):forjinrange(cols):node=(i,j)#Eachelementisanodeneighbors={}# Check and add valid neighbors with weights (value of neighboring element)ifi>0:#Upneighbors[(i-1,j)]=matrix[i-1][j]ifi<rows-1:#Downneighbors[(i+1,j)]=matrix[i+1][j]ifj>0:#Leftneighbors[(i,j-1)]=matrix[i][j-1]ifj<cols-1:#Rightneighbors[(i,j+1)]=matrix[i][j+1]graph[node]=neighborsgraph[(cols-1,rows-1)]={}returngraphdefdijkstra(graph,source,target):# Initialize distances and priority queuedistances={vertex:float('infinity')forvertexingraph}distances[source]=0priority_queue=[(0,source)]#(distance,vertex)whilepriority_queue:current_distance,current_vertex=heapq.heappop(priority_queue)# Skip if the distance is outdatedifcurrent_distance>distances[current_vertex]:continueforneighbor,weightingraph[current_vertex].items():distance=current_distance+weight# If a shorter path is foundifdistance<distances[neighbor]:distances[neighbor]=distanceheapq.heappush(priority_queue,(distance,neighbor))returndistances[target]T=int(input())matrix=[]foriinrange(T):line=list(map(int,input().split()))matrix.append(line)rows,cols=len(matrix),len(matrix[0])graph=matrix_to_weighted_graph(matrix)length=matrix[0][0]+dijkstra(graph,(0,0),(rows-1,cols-1))print(length)
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Project Euler #83: Path sum: four ways
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This is perfect python code using dijkstra algorithm.