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Paul Walko 2015-12-23 05:54:39 -05:00
commit 10c920620b
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def dijkstra(graph,src,dest,visited,distances,predecessors):
""" calculates a shortest path tree routed in src
"""
# a few sanity checks
if src not in graph:
raise TypeError('the root of the shortest path tree cannot be found in the graph')
if dest not in graph:
raise TypeError('the target of the shortest path cannot be found in the graph')
# ending condition
if src == dest:
# We build the shortest path and display it
if dest not in distances:
distances[dest] = 0
path=[]
pred=dest
while pred != None:
path.append(pred)
pred=predecessors.get(pred,None)
pathList = []
pathList.append(str(path))
pathList.append(distances[dest])
return pathList
else :
# if it is the initial run, initializes the cost
if not visited:
distances[src]=0
# visit the neighbors
for neighbor in graph[src] :
if neighbor not in visited:
new_distance = distances[src] + graph[src][neighbor]
if new_distance < distances.get(neighbor,float('inf')):
distances[neighbor] = new_distance
predecessors[neighbor] = src
# mark as visited
visited.append(src)
# now that all neighbors have been visited: recurse
# select the non visited node with lowest distance 'x'
# run Dijskstra with src='x'
unvisited={}
for k in graph:
if k not in visited:
unvisited[k] = distances.get(k,float('inf'))
x=min(unvisited, key=unvisited.get)
return dijkstra(graph,x,dest,visited,distances,predecessors)
if __name__ == "__main__":
import sys
import itertools
graph = {
'cope': {'cope': 0, 'gun': 11, 'admin': 12, 'handi': 15},
'gun': {'cope': 11, 'gun': 0, 'eco': 2, 'admin': 3.5, 'handi': 5.7, 'fivea': .5},
'eco': {'gun': 2, 'eco': 0, 'skills': 1, 'health': 1.9, 'admin': 3, 'fivea': 1.8, 'five': .6},
'skills': {'eco': 1, 'skills': 0, 'health': 1.4, 'dan': 3.7, 'five': 2.2, 'six': .7, 'seven': .6},
'archery': {'archery': 0, 'fivea': 2, 'five': 1.9, 'six': 1, 'seven': 2.1},
'health': {'eco': 1.9, 'skills': 1.4, 'health': 0, 'admin': 2, 'dining': 2.3, 'aqua': 4.1, 'dan': 4.4, 'seven': 2.3},
'admin': {'cope': 12, 'gun': 3.5, 'eco': 3, 'health': 2, 'admin': 0, 'dining': 1, 'handi': 2.8, 'four': 2.4},
'dining': {'health': 2.3, 'admin': 1, 'dining': 0, 'aqua': 2.6, 'handi': 2.7, 'four': 1.8},
'aqua': {'health': 4.1, 'dining': 2.6, 'aqua': 0, 'handi': 3.01},
'handi': {'cope': 15, 'gun': 5.7, 'admin': 2.8, 'dining': 2.7, 'aqua': 3.01, 'handi': 0, 'two': 1.4, 'three': 1, 'four': .5},
'dan': {'skills': 3.7, 'health': 4.4, 'dan': 0, 'ftown': 1.7, 'seven': .8, 'bunk': 1, 'eight': 2.2},
'ftown': {'dan': 1.7, 'ftown': 0, 'bunk': 1.8, 'eight': 1.7, 'nine': 1.9},
'kiwanis': {'ftown': 1.2, 'kiwanis': 0, 'nine': 1.7, 'ten': 1.8},
'one': {'one': 0, 'two': 1, 'fourteen': 300},
'two': {'handi': 1.4, 'one': 1, 'two': 0, 'three': .7},
'three': {'handi': 1, 'two': .7, 'three': 0},
'four': {'admin': 2.4, 'dining': 1.8, 'handi': .5, 'four': 0},
'fivea': {'gun': .5, 'eco': 1.8, 'archery': 2, 'fivea': 0, 'five': .4},
'five': {'eco': .6, 'skills': 2.2, 'archery': 1.9, 'fivea': .4, 'five': 0},
'six': {'skills': .7, 'archery': 1, 'six': 0, 'seven': 2},
'seven': {'skills': .6, 'archery': 2.1, 'health': 2.3, 'dan': .8, 'six': 2, 'seven': 0},
'bunk': {'dan': 1, 'ftown': 1.8, 'bunk': 0, 'eight': .3},
'eight': {'dan': 2.2, 'ftown': 1.7, 'bunk': .3, 'eight': 0},
'nine': {'ftown': 1.9, 'kiwanis': 1.7, 'nine': 0},
'ten': {'kiwanis': 1.8, 'ten': 0, 'eleven': 2.6, 'twelve': 6},
'eleven': {'ten': 2.6, 'eleven': 0, 'twelve': 2.5, 'thirteen': 5.5},
'twelve': {'ten': 6, 'eleven': 2.5, 'twelve': 0},
'thirteen': {'eleven': 5.5, 'thirteen': 0, 'fourteen': 2},
'fourteen': {'one': 300, 'thirteen': 2, 'fourteen': 0}}
campSite = sys.argv[1]
badge1 = sys.argv[2]
badge2 = sys.argv[3]
badge3 = sys.argv[4]
badge4 = sys.argv[5]
badge5 = sys.argv[6]
badge6 = sys.argv[7]
badgeList = [badge1, badge2, badge3, badge4, badge5, badge6]
newBadgeList = []
for t in itertools.permutations(badgeList, 6):
l = list(t)
l.insert(0, 'dining')
l.insert(0, campSite)
l.insert(5, 'dining')
l.append(campSite)
newBadgeList.append(l)
shortList = []
shortLength = 9999
for i in newBadgeList:
length = 0
j = 0
for j in range(0, len(i) - 1):
pathList = dijkstra(graph, i[j], i[j + 1], [], {}, {})
length += pathList[1]
if length < shortLength:
shortLength = length
shortList = i
shortLength = round(shortLength, 1)
print(str(shortList) + '\n' + str(shortLength))