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| # Globals, hope there isn't something already in the global space with these names... | |
| grid = list() | |
| gridSize = 0 | |
| masterPermutationList = list(list()) | |
| coordinatePermutations = {(1,0), (0,1), (-1,0), (0,-1)} | |
| # -100 (probably) indicates a bad x or y index | |
| def getValueAt(x, y): | |
| if x >= gridSize or y >= gridSize: | |
| return -100 | |
| if x < 0 or y < 0: | |
| return -100 | |
| return grid[y * gridSize + x] | |
| # We're just going to assume input is valid... | |
| def parseGrid(size, gridAsString): | |
| global grid | |
| global gridSize | |
| grid.clear() | |
| gridSize = size | |
| if gridAsString[-1] == '\n': | |
| gridAsString = gridAsString[0:-1] | |
| stringGridArray = gridAsString.split(" ") | |
| for element in stringGridArray: | |
| grid.append(int(element)) | |
| # Walk around until we're at the end | |
| def walk(alreadyTraveled, lastPair): | |
| global masterPermutationList | |
| currentX = lastPair[0] | |
| currentY = lastPair[1] | |
| # We're done! | |
| if currentX == gridSize - 1 and currentY == 0: | |
| masterPermutationList.append(alreadyTraveled) | |
| return | |
| # We're not done! Figure out where we can go from here | |
| tempPairList = list() | |
| for element in coordinatePermutations: | |
| tempPair = (currentX + element[0], currentY + element[1]) | |
| tempPairList.append(tempPair) | |
| # Make sure we're not walking off the edge or trying to go somewhere we've already been | |
| for element in tempPairList: | |
| if element[0] >= 0 and element[0] < gridSize and element[1] >= 0 and element[1] < gridSize and element not in alreadyTraveled: | |
| alreadyTraveledCopy = alreadyTraveled.copy() | |
| alreadyTraveledCopy.add(element) | |
| # Still here? Keep walking. | |
| walk(alreadyTraveledCopy, element) | |
| # Run through the masterPermutationList and find the least-costliest path | |
| def determineLeastCost(): | |
| global masterPermutationList | |
| tempSet = set() | |
| originalIndex = (0, gridSize - 1) | |
| tempSet.add(originalIndex) | |
| walk(tempSet, originalIndex) | |
| bestPath = 0 | |
| for path in masterPermutationList: | |
| pathTotal = 100 | |
| for coordinate in path: | |
| pathTotal -= 5 * getValueAt(coordinate[0], coordinate[1]) | |
| if pathTotal > bestPath: | |
| bestPath = pathTotal | |
| return bestPath | |
| # Grab user input and run all the methods | |
| def doEverything(): | |
| print("Please enter size and then grid:") | |
| tempSize = int(input()) | |
| if(tempSize <= 0): | |
| return | |
| gridAsString = input() | |
| for i in range(0, tempSize - 1): | |
| gridAsString += " " + input() | |
| parseGrid(tempSize, gridAsString) | |
| leastCost = determineLeastCost() | |
| print("Least cost is: " + str(leastCost)) | |
| doEverything() | |
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