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].

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 24PE
icon
Related questions
Question

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 algorithm to determine whether the frog can reach the FIRST index of A.

(b) Show the correctness of your algorithm in part (a).

(c) Find and justify the time complexity of your algorithm.`

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Arrays
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
C++ Programming: From Problem Analysis to Program…
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning