Maximum Total Importance of Roads | Thought Process | Leetcode 2285 | codestorywithMIK
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This is the 50th Video of our Playlist "Graphs : Popular Interview Problems" by codestorywithMIK
In this video we will try to solve a good observation practice problem : Maximum Total Importance of Roads | Thought Process | Leetcode 2285 | codestorywithMIK
I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.
Problem Name : Maximum Total Importance of Roads | Thought Process | Leetcode 2285 | codestorywithMIK
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Summary :
The approach to solving the problem of calculating the maximum importance of nodes in a graph involves the following steps:
Degree Calculation:
Initialize an array to store the degree (number of edges connected) of each node.
Traverse the list of roads (edges) to update the degree of each node.
Sorting:
Sort the degree array in ascending order. This allows assigning higher values to nodes with higher degrees in the subsequent step.
Calculating Maximum Importance:
Initialize variables to track the current value and the total sum.
Iterate over the sorted degree array, multiplying each degree by an incrementing value, and add the result to the sum.
Result:
The final sum represents the maximum importance, calculated by strategically assigning higher values to nodes with higher degrees.
By sorting the degrees and assigning incremental values, the approach ensures that nodes with higher connectivity contribute more to the overall importance, thus maximizing the total importance.
✨ Timelines✨
00:00 - Introduction
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