Search a sorted matrix: The input consists of a real number x and a matrix A[1..n, 1..m] of nm real numbers such that each row A[i, 1..m] is sorted and each column A[1..n, j] is sorted. The goal is to find the maximum array entry A[i, j] that is less than or equal to x, or report that all elements of A are larger than x. Design and analyze an iterative algorithm for this problem that examines as few matrix entries as possible. Becareful if you believe that a simple binary search solves the problem. make a lower bound, and recursive algorithm.
Search a sorted matrix: The input consists of a real number x and a matrix A[1..n, 1..m] of nm real numbers such that each row A[i, 1..m] is sorted and each column A[1..n, j] is sorted. The goal is to find the maximum array entry A[i, j] that is less than or equal to x, or report that all elements of A are larger than x. Design and analyze an iterative algorithm for this problem that examines as few matrix entries as possible. Becareful if you believe that a simple binary search solves the problem. make a lower bound, and recursive 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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Search a sorted matrix: The input consists
of a real number x and a matrix A[1..n, 1..m] of nm real numbers such that each row
A[i, 1..m] is sorted and each column A[1..n, j] is sorted. The goal is to find the maximum array entry A[i, j] that is less than or equal to x, or report that all elements of A
are larger than x. Design and analyze an iterative
search solves the problem.
make a lower bound, and recursive algorithm.
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