A few years ago, 2048 was a popular game to download and play on the smartphone. You don't need to know anything about 2048, but here is a different game called 248. In 248, the game starts with a sequence of N integers where N is between 2 and 248 (inclusive) and each integer in the sequence is between 1 and 40 (inclusive). To play the game, the player must select two adjacent integers with equal values and replace them with a single integer of value one greater. For example, two adjacent 3's can be replaced with a 4. After repeatedly doing combination operations there will eventually be no more equal adjacent numbers in the sequence and the game is then done. The score at the end of a game is whatever number is largest in the final sequence. Write a program to find the largest possible score.

A few years ago, 2048 was a popular game to download and play on the smartphone. You don't need to know anything about 2048, but here is a different game called 248. In 248, the game starts with a sequence of N integers where N is between 2 and 248 (inclusive) and each integer in the sequence is between 1 and 40 (inclusive). To play the game, the player must select two adjacent integers with equal values and replace them with a single integer of value one greater. For example, two adjacent 3's can be replaced with a 4. After repeatedly doing combination operations there will eventually be no more equal adjacent numbers in the sequence and the game is then done. The score at the end of a game is whatever number is largest in the final sequence. Write a program to find the largest possible score.

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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Question

For the following problem, write a program (in as close to Java code - but doesn't need
to be compilable/runnable code, ie no English explanation "vague" pseudocode and all
helper methods must be defined)
248
A few years ago, 2048 was a popular game to download and play on the smartphone. You don't need
to know anything about 2048, but here is a different game called 248. In 248, the game starts with a
sequence of N integers where N is between 2 and 248 (inclusive) and each integer in the sequence is
between 1 and 40 (inclusive). To play the game, the player must select two adjacent integers with equal
values and replace them with a single integer of value one greater. For example, two adjacent 3's can be
replaced with a 4. After repeatedly doing combination operations there will eventually be no more equal
adjacent numbers in the sequence and the game is then done. The score at the end of a game is whatever
number is largest in the final sequence. Write a program to find the largest possible score.
Input
The input will be N+1 integers separated by whitespace. The first integer gives the value of N, the
number of integers in the sequence. The following N integers give the sequence of the N integers at the
beginning of the game.
Output
A single integer: the largest possible number remaining in the sequence after any sequence of legal com-
bination operations.
Sample Input
Sample Output
4
3
4

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