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Rohan's VacationRohan was going on a long vacation across various cities in the world. He had made an itinerary containing all the information about his journey. He had flight tickets booked as well.Unfortunately, at the last minute, someone just ran into him and all his tickets fell on the floor.Help him to find the correct order of all the tickets by finding the correct path from source to destination.Input Format:First line of the input contains a number N, indicating the number of tickets he has.Next lines each contain two strings made of alphabets, each separated by a space, the src(source) and the dest (destination).Output format:Print a single line containing the entire journey plan (itinery) of Rahul.Constraints:1 <= N <= 5001 <= len(src), len(dest) <= 50Source and destination strings are made up of alphabets(uppercase/lowercase).Example Input:3DEL KOLMAA DELKOL GOAExample Output:MAA DEL KOL GOAExplanation:Given the tickets from DEL to KOL, MAA to DEL, KOL to GOA,If we arrange the properly, we can see that Rohan starts from MAA then goes to DEL,And then from DEL he has ticket to KOL and from KOL he has ticket to GOA, so we print his entire itinerary.

Question

Rohan's VacationRohan was going on a long vacation across various cities in the world. He had made an itinerary containing all the information about his journey. He had flight tickets booked as well.Unfortunately, at the last minute, someone just ran into him and all his tickets fell on the floor.Help him to find the correct order of all the tickets by finding the correct path from source to destination.Input Format:First line of the input contains a number N, indicating the number of tickets he has.Next lines each contain two strings made of alphabets, each separated by a space, the src(source) and the dest (destination).Output format:Print a single line containing the entire journey plan (itinery) of Rahul.Constraints:1 <= N <= 5001 <= len(src), len(dest) <= 50Source and destination strings are made up of alphabets(uppercase/lowercase).Example Input:3DEL KOLMAA DELKOL GOAExample Output:MAA DEL KOL GOAExplanation:Given the tickets from DEL to KOL, MAA to DEL, KOL to GOA,If we arrange the properly, we can see that Rohan starts from MAA then goes to DEL,And then from DEL he has ticket to KOL and from KOL he has ticket to GOA, so we print his entire itinerary.

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Solution

To solve this problem, we can use a graph data structure to represent the connections between the source and destination cities. We will create a dictionary where the keys are the source cities and the values are lists of destination cities.

Here are the steps to find the correct order of all the tickets:

  1. Read the number of tickets, N, from the input.

  2. Create an empty dictionary called "tickets".

  3. Iterate N times and for each iteration, do the following: a. Read the source and destination strings from the input. b. If the source city is not already a key in the "tickets" dictionary, add it with an empty list as the value. c. Append the destination city to the list of destinations for the corresponding source city in the "tickets" dictionary.

  4. Find the starting city by finding the source city that does not appear as a destination in any of the tickets. Let's call this city "start_city".

  5. Create an empty list called "itinerary".

  6. Start with "start_city" and do the following until there are no more destinations: a. Append the current city to the "itinerary" list. b. Get the list of destinations for the current city from the "tickets" dictionary. c. If the list is empty, break the loop. d. Otherwise, set the current city to be the first destination in the list and remove it from the list.

  7. Print the "itinerary" list in reverse order to get the correct order of all the tickets.

Here is the implementation in Python:

N = int(input())
tickets = {}

for _ in range(N):
    src, dest = input().split()
    if src not in tickets:
        tickets[src] = []
    tickets[src].append(dest)

start_city = None
for src in tickets.keys():
    if all(src not in dests for dests in tickets.values()):
        start_city = src
        break

itinerary = []
current_city = start_city

while True:
    itinerary.append(current_city)
    destinations = tickets[current_city]
    if not destinations:
        break
    current_city = destinations.pop(0)

print(' '.join(itinerary[::-1]))

This code will read the input, find the correct order of all the tickets, and print the itinerary as the output.

This problem has been solved

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