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1
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from copy import deepcopy |
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2
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3
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4
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def find_path(connection_dict, start_point): |
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5
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if start_point in connection_dict: |
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6
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if len(connection_dict) == 1: |
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7
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return connection_dict[start_point] |
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8
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else: |
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9
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ret = [] |
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10
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for i in connection_dict[start_point]: |
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11
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new_connection_dict = deepcopy(connection_dict) |
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12
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new_connection_dict[start_point].remove(i) |
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13
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if not new_connection_dict[start_point]: |
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14
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del new_connection_dict[start_point] |
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15
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new_connection_dict[i].remove(start_point) |
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16
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if not new_connection_dict[i]: |
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17
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del new_connection_dict[i] |
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18
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for j in find_path(new_connection_dict, i): |
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19
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ret.append(i + j) |
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20
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# add this to mean i can stop here even I have path to go |
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21
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ret.append(i) |
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22
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return ret |
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23
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else: |
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24
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return [''] |
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25
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26
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27
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def checkio(teleports_string): |
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28
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connections = teleports_string.split(',') |
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29
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connection_dict = {} |
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30
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for i in connections: |
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31
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if i[0] not in connection_dict: |
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32
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connection_dict[i[0]] = [] |
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33
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if i[1] not in connection_dict: |
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34
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connection_dict[i[1]] = [] |
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35
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connection_dict[i[0]].append(i[1]) |
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36
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connection_dict[i[1]].append(i[0]) |
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37
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path = find_path(connection_dict, '1') |
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38
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path = map(lambda x: '1' + x, path) |
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39
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path = filter( |
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40
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lambda x: ('1' == x[-1] and set(x) == set(connection_dict.keys())), path |
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41
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) |
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42
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path = sorted(list(path), key=len, reverse=True) |
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43
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if path: |
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44
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return path[0] |
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45
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46
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47
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# This part is using only for self-testing |
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48
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if __name__ == "__main__": |
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49
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50
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View Code Duplication |
def check_solution(func, teleports_str): |
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51
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route = func(teleports_str) |
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52
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teleports_map = [ |
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53
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tuple(sorted([int(x), int(y)])) for x, y in teleports_str.split(",") |
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54
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] |
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55
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if route[0] != '1' or route[-1] != '1': |
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56
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print("The path must start and end at 1") |
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57
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return False |
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58
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ch_route = route[0] |
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59
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for i in range(len(route) - 1): |
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60
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teleport = tuple(sorted([int(route[i]), int(route[i + 1])])) |
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61
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if not (teleport in teleports_map): |
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62
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print("No way from {0} to {1}".format(route[i], route[i + 1])) |
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63
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return False |
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64
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teleports_map.remove(teleport) |
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65
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ch_route += route[i + 1] |
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66
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for s in range(1, 9): |
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67
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if not str(s) in ch_route: |
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68
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print("You forgot about {0}".format(s)) |
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69
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return False |
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70
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return True |
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71
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72
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assert check_solution(checkio, "12,23,34,45,56,67,78,81"), "First" |
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73
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assert check_solution(checkio, "12,28,87,71,13,14,34,35,45,46,63,65"), "Second" |
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74
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assert check_solution(checkio, "12,15,16,23,24,28,83,85,86,87,71,74,56"), "Third" |
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75
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assert check_solution(checkio, "13,14,23,25,34,35,47,56,58,76,68"), "Fourth" |
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76
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