Consider the following problem: Input: a set of N positive integers A = {a1, a2,..., an} and a positive integer t Output: the total number of ways to add numbers in A to add up to t. Numbers may be repeated. Example: A = {1, 2} and t = 6; There are 4 ways: (a) 1+1+1+1+1+1 (b) 1+1+1+1+2 (c) 1+1+2+2 (d) 2+2+2 (a) Give a recurrence to solve the problem. (b) Compute the time and space complexity when your recurrence is implemented (c) Given A = {1, 2, 3, 5} and t = 7, how many ways can you add up to 7 if numbers can be repeated?

Consider the following problem: Input: a set of N positive integers A = {a1, a2,..., an} and a positive integer t Output: the total number of ways to add numbers in A to add up to t. Numbers may be repeated. Example: A = {1, 2} and t = 6; There are 4 ways: (a) 1+1+1+1+1+1 (b) 1+1+1+1+2 (c) 1+1+2+2 (d) 2+2+2 (a) Give a recurrence to solve the problem. (b) Compute the time and space complexity when your recurrence is implemented (c) Given A = {1, 2, 3, 5} and t = 7, how many ways can you add up to 7 if numbers can be repeated?

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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