The Java code below was written to find the last index that x appears in the array A. If x doesn't appear in A, then the function returns -1. int find(int[] A, int x) { int n A.length, i = n -1; while (i = 0) { } } if (A[i] = x) return i; i = 1; == return -1; Homework 3 6 Data Struct. Your task is as follows: 1. Write a precondition and a post-condition for find. Your conditions should be in sync with the invariants and other justification steps you will also make about the code. At the very least, the post-condition should allow us to say that find does find the last index of x as specified above. 2. Specify a loop invariant for the loop that find uses. 3. Fill in the missing Hoare logic justifications so that we have a complete proof that given the precondition, the post-condition holds, thereby find meets the specification.
The Java code below was written to find the last index that x appears in the array A. If x doesn't appear in A, then the function returns -1. int find(int[] A, int x) { int n A.length, i = n -1; while (i = 0) { } } if (A[i] = x) return i; i = 1; == return -1; Homework 3 6 Data Struct. Your task is as follows: 1. Write a precondition and a post-condition for find. Your conditions should be in sync with the invariants and other justification steps you will also make about the code. At the very least, the post-condition should allow us to say that find does find the last index of x as specified above. 2. Specify a loop invariant for the loop that find uses. 3. Fill in the missing Hoare logic justifications so that we have a complete proof that given the precondition, the post-condition holds, thereby find meets the specification.
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
Related questions
Question
![The Java code below was written to find the last index that x appears in the array A. If x doesn't
appear in A, then the function returns -1.
int find(int[] A, int x) {
int n A.length, i = n -1;
while (i = 0) {
}
}
if (A[i] = x)
return i;
i = 1;
==
return -1;
Homework 3
6
Data Struct.
Your task is as follows:
1. Write a precondition and a post-condition for find. Your conditions should be in sync with the
invariants and other justification steps you will also make about the code. At the very least, the
post-condition should allow us to say that find does find the last index of x as specified above.
2. Specify a loop invariant for the loop that find uses.
3. Fill in the missing Hoare logic justifications so that we have a complete proof that given the
precondition, the post-condition holds, thereby find meets the specification.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff97c0725-689e-40d7-87a0-46553d65cfc3%2F40b0a9d2-a4ec-4230-8503-0600ddb39834%2Fn5z6x7_processed.png&w=3840&q=75)
Transcribed Image Text:The Java code below was written to find the last index that x appears in the array A. If x doesn't
appear in A, then the function returns -1.
int find(int[] A, int x) {
int n A.length, i = n -1;
while (i = 0) {
}
}
if (A[i] = x)
return i;
i = 1;
==
return -1;
Homework 3
6
Data Struct.
Your task is as follows:
1. Write a precondition and a post-condition for find. Your conditions should be in sync with the
invariants and other justification steps you will also make about the code. At the very least, the
post-condition should allow us to say that find does find the last index of x as specified above.
2. Specify a loop invariant for the loop that find uses.
3. Fill in the missing Hoare logic justifications so that we have a complete proof that given the
precondition, the post-condition holds, thereby find meets the specification.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps

Similar questions
Recommended textbooks for you

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education

Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON

Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON

C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON

Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning

Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education