Скачать или смотреть ✅Day 46 | LeetCode 2971. Find Polygon With the Largest Perimeter

🌟 Welcome to the Leetcode Daily Challenge Solution! 🚀

Prepare for an exciting exploration of array manipulation and optimization as we tackle the task of finding the largest perimeter among all possible triangles formed by elements of a given array. Brace yourself for an adventure through algorithmic ingenuity and optimization mastery.

🎯 Problem Overview:

Our mission is to find the largest perimeter among all possible triangles that can be formed by selecting three integers from the array 'nums'. We aim to devise an algorithm that efficiently computes and returns the largest possible perimeter.

🚀 Algorithm Breakdown:

Sort the input array 'nums' in non-decreasing order to facilitate the identification of potential triangle sides.
Initialize a variable 'ans' to store the largest perimeter encountered, initially set to -1.
Iterate through the sorted array, starting from the third element (index 2).
For each index 'i', calculate the sum of the two smallest elements up to index 'i'. This sum represents a potential perimeter if the current element ('nums[i]') can form a triangle with the two preceding elements.
If the sum of the two smallest elements ('sum') is greater than the current element ('nums[i]'), update 'ans' with the maximum of 'ans' and the sum of the three elements.
Continue iterating through the array, updating 'sum' with the addition of each new element.
After processing all elements, 'ans' holds the largest possible perimeter among all valid triangles.
Return 'ans'.
📊 Complexity Analysis:

Time Complexity: O(n * log n) - Sorting the array takes O(n * log n) time, and iterating through the sorted array takes O(n) time.
Space Complexity: O(1) - We use constant extra space for variables.

Delve into the intricacies of array manipulation and optimization as we unravel the solution together! Feel empowered to explore, modify, and deepen your understanding of efficient strategies for finding the largest perimeter among all possible triangles formed by elements of an array. 🔗✨

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