Consider the array A[1 . . . n] consisting of n non-negative integers. There is a frog on the LAST index of the array, i.e. the nth index of the array. In each step, if the frog is positioned on the i th index, then it can make a jump of size at most A[i] towards the beginning of the array. In other words, it can hop to any of the indices i, . . . , i − A[i].
Consider the array A[1 . . . n] consisting of n non-negative integers. There is a frog on the LAST index of the array, i.e. the nth index of the array. In each step, if the frog is positioned on the i th index, then it can make a jump of size at most A[i] towards the beginning of the array. In other words, it can hop to any of the indices i, . . . , i − A[i].
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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Consider the array A[1 . . . n] consisting of n non-negative integers. There is a frog on the LAST index of the array, i.e. the nth index of the array. In each step, if the frog is positioned on the i th index, then it can make a jump of size at most A[i] towards the beginning of the array. In other words, it can hop to any of the indices i, . . . , i − A[i].
(a) Develop a Greedy
(b) Show the correctness of your algorithm in part (a).
(c) Find and justify the time complexity of your algorithm.`
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