In the friends level of abstracting recursion, you can give your friend any legal instance that is smaller than yours according to some measure as long as you solve in your own any instance that is sufficiently small. For which of these algorithms has this been done? If so, what is your measure of the size of the instance? On input instance (n, m), either bound the depth to which the algorithm recurses as a function of n and m, or prove that there is at least one path down the recursion tree that is infinite. algorithm R, (n, m) (pre-cond): n & m ints. (post-cond): Say Hi begin if(n ≤ 0) else end if end algorithm Print("Hi") R₂(n-1,2m) algorithm R, (n, m) (pre-cond): n & m ints. (post-cond): Say Hi begin if(n ≤ 0) else Print("Hi") Rb(n-1, m) R₁(n, m - 1) end if end algorithm
In the friends level of abstracting recursion, you can give your friend any legal instance that is smaller than yours according to some measure as long as you solve in your own any instance that is sufficiently small. For which of these algorithms has this been done? If so, what is your measure of the size of the instance? On input instance (n, m), either bound the depth to which the algorithm recurses as a function of n and m, or prove that there is at least one path down the recursion tree that is infinite. algorithm R, (n, m) (pre-cond): n & m ints. (post-cond): Say Hi begin if(n ≤ 0) else end if end algorithm Print("Hi") R₂(n-1,2m) algorithm R, (n, m) (pre-cond): n & m ints. (post-cond): Say Hi begin if(n ≤ 0) else Print("Hi") Rb(n-1, m) R₁(n, m - 1) end if end algorithm
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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