✓ 6 Sum of ik Intro In discrete math we learn that the sum of integer from 1...n is given by and and As you may notice, one can actually show that ¿ has is a polynomial of degree k + 1. i=1 n n(n - 1) n² n 2 2 2 i=1 n i=1 3 n² + n 2 6 n 'n(n 2 Σ³ ³ = ((n − 1))' *+.... ² = 2 i=1 To calculate the sum if we use for loop and calculate the left hand side it will be O(n). But if we use the right hand side we can calculate it in O(1). So, calculating it with a closed form is a much better approach. But as you recall getting the close formed formula is quite difficult to do by hands. In this problem we will use legendre polynomial to find it. Problem Use what you learn about Legendre Method and write a function that takes in n and k and calculate in O(k) (NOT O(n)). Warning: don't try to sum up too far as it can cause integer overflow. 1 [ ] i=1 IM- Python

✓ 6 Sum of ik Intro In discrete math we learn that the sum of integer from 1...n is given by and and As you may notice, one can actually show that ¿ has is a polynomial of degree k + 1. i=1 n n(n - 1) n² n 2 2 2 i=1 n i=1 3 n² + n 2 6 n 'n(n 2 Σ³ ³ = ((n − 1))' *+.... ² = 2 i=1 To calculate the sum if we use for loop and calculate the left hand side it will be O(n). But if we use the right hand side we can calculate it in O(1). So, calculating it with a closed form is a much better approach. But as you recall getting the close formed formula is quite difficult to do by hands. In this problem we will use legendre polynomial to find it. Problem Use what you learn about Legendre Method and write a function that takes in n and k and calculate in O(k) (NOT O(n)). Warning: don't try to sum up too far as it can cause integer overflow. 1 [ ] i=1 IM- Python

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

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