Task 03: You are traveling through dangerous wilderness with bridges and rivers. Each of them has a danger level that represents the risk of injury if you attempt to cross it. Your goal is to find the safest path from your current location to your destination node N. You will start your journey from node 1. You define the danger level of a path as the maximum danger. level of all the edges along the path. To maximize your chances of survival, you decide to take the safest path possible. The safest path is the one with the minimum danger level among all the paths from node 1 to node N. Input The first line of the input contains two integers, N and M (1 <= N <= 1000, 1 <= M <= 100000) denoting the number of nodes and edges in the graph respectively. The next M lines each contain three integers, u, v (1 <= u, v <= N), and w (1 <= w <= 100) denoting an edge from node u to node v with weight w. Output Find a path with the minimum danger level from source node 1 to destination node N. Print "Impossible" if there is no path from node 1 to N.
Task 03: You are traveling through dangerous wilderness with bridges and rivers. Each of them has a danger level that represents the risk of injury if you attempt to cross it. Your goal is to find the safest path from your current location to your destination node N. You will start your journey from node 1. You define the danger level of a path as the maximum danger. level of all the edges along the path. To maximize your chances of survival, you decide to take the safest path possible. The safest path is the one with the minimum danger level among all the paths from node 1 to node N. Input The first line of the input contains two integers, N and M (1 <= N <= 1000, 1 <= M <= 100000) denoting the number of nodes and edges in the graph respectively. The next M lines each contain three integers, u, v (1 <= u, v <= N), and w (1 <= w <= 100) denoting an edge from node u to node v with weight w. Output Find a path with the minimum danger level from source node 1 to destination node N. Print "Impossible" if there is no path from node 1 to N.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
Please use python and python file i/o to solve the problem. Create an input file input3_1.txt take input from sample input as shown below, solve the problem and print the output to output3_1.txt file as shown in the question.
Transcribed Image Text:Task 03:
You are traveling through dangerous wilderness with bridges and
rivers. Each of them has a danger level that represents the risk
of injury if you attempt to cross it.
Your goal is to find the safest path from your current location
to your destination node N. You will start your journey from
node 1.
You define the danger level of a path as the maximum danger
level of all the edges along the path. To maximize your chances
of survival, you decide to take the safest path possible. The
safest path is the one with the minimum danger level among all
the paths from node 1 to node N.
Input
The first line of the input contains two integers, N and M (1 <=
N <= 1000, 1 <= M <= 100000) denoting the number of nodes and
edges in the graph respectively.
The next M lines each contain three integers, u, v (1 <= u, v <=
N), and w (1 <= w <= 100) denoting an edge from node u to node
v with weight w.
Output
Find a path with the minimum danger level from source node 1 to
destination node N. Print "Impossible" if there is no path from
node 1 to N.
Transcribed Image Text:4 5
125
2 3 4
346
1 38
2 4 10
01
6
Sample Input 2 Sample Output 2
7 10
125
2 3 4
342
132
2 4 10
452
5 7 15
267
168
674
7
Explanation of Sample Input 1
6
4
10
5
Sample Graph 2
2
10
15
2
There are three paths from node 1 to node 4.
a) 1 3 4
In path (a), the danger level is maximum (8, 6) = 8
b) 1 → 2 → 4
In path (b), the danger level is maximum (5, 10) = 10
c) 1
2 3 4
In path (c), the danger level is maximum (5, 4, 6) = 6
5
7
8
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