Maximize Array Value After Rearrangement |Problem of the Day |GeeksforGeeks |30 Days POTD Challenge

Day 18 of 30 (09th August 2024) Geek Streak – 30 Days POTD Challenge

Practice coding every day and get rewarded for maintaining a streak for 30 days straight starting from 23rd July 2024.
It is not as easy as it sounds, so if you have it in you, here is how to go about the Geek Streak:
1. Solve the Problem of the Day on GeeksforGeeks Practice and as you do, take a screenshot.
2. Upload a screenshot of the solved problem on X or LinkedIn with the hashtag, #geekstreak2024
3. Do this for 30 days without any breaks, and keep taking screenshots of all the POTD you have successfully solved for 30 consecutive days.
4. At the end of 30 days, we will send a Google Form to all users maintaining their streak. You will need to fill in your details to match your POTD username and provide your screenshots.
5. When your details are checked and verified, your entries will be counted for the rewards.
6. On the last day, don’t forget to share your streak chart to share your progress with the world!

Important Note: The Geek Streak Challenge will start from 23rd July, 2024 onwards. You will have to start your streak between 23rd-25th july to be eligible. So prepare yourself and remember to start on time!

Maximize Array Value After Rearrangement
| Geek Streak – 30 Days POTD Challenge

In this video, we tackle an interesting problem where we need to maximize the value of the expression ∑arr[i] * i by rearranging the elements of the given array. We walk through the problem statement, explain the logic behind the solution, and then implement the code in real-time.

🔍 Problem Statement:
Given an array arr of n integers, your task is to rearrange the elements of the array to maximize the value of the sum ∑arr[i] * i, where i is the index of the array. Since the output can be large, the result should be returned modulo 10^9+7.

👨‍💻 Solution Approach:
To solve the "Maximize Array Value After Rearrangement" problem, first, sort the array in ascending order. This allows the smallest elements to multiply with the smallest indices and the largest elements with the largest indices, maximizing the sum. Then, iterate through the sorted array, calculating the sum of arr[i] * i for each element, and take the result modulo 10^9+7 to handle large numbers. This approach ensures an optimal sum with a time complexity of O(nlog(n)) due to sorting.

Join the Challenge:
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Stay consistent, keep coding, and join the streak!

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