1. Astronomy Board Game In an astronomy board game, N planets in an imaginary universe do not follow the normal law of gravitation. All the planets are positioned in a row. The planetary system can be in a stable state only if the sum of the mass of all planets at even positions is equal to the sum of the mass of planets at the odd positions. Initially, the system is not stable, but a player can destroy one planet to make it stable. Find the planet that should be destroyed to make the system stable. If no such planet exists, then return -1. If there are multiple such planets, then destroy the planet with the smallest index and return the index of the destroyed planet. Example Let N=5 and planets = [2,4,6,3,4]. Destroying the fourth planet of mass 3 will result in planets= [2,4,6,4], and here, the sum of odd positioned planets is (2+6)=8, and the sum of even positioned planets is (4+4)=8, and both are equal now. Hence, we destroy the fourth planet. Function Description Complete the function getPlanet To Destroy in the editor below. getPlanetToDestroy has the following parameter(s): planets[planets[1]....planets[n]]: An array of integers Returns int: the index of the planet to be destroyed. Constraints • 2≤N≤2x105 • 1splanets[i] ≤ 10⁹
1. Astronomy Board Game In an astronomy board game, N planets in an imaginary universe do not follow the normal law of gravitation. All the planets are positioned in a row. The planetary system can be in a stable state only if the sum of the mass of all planets at even positions is equal to the sum of the mass of planets at the odd positions. Initially, the system is not stable, but a player can destroy one planet to make it stable. Find the planet that should be destroyed to make the system stable. If no such planet exists, then return -1. If there are multiple such planets, then destroy the planet with the smallest index and return the index of the destroyed planet. Example Let N=5 and planets = [2,4,6,3,4]. Destroying the fourth planet of mass 3 will result in planets= [2,4,6,4], and here, the sum of odd positioned planets is (2+6)=8, and the sum of even positioned planets is (4+4)=8, and both are equal now. Hence, we destroy the fourth planet. Function Description Complete the function getPlanet To Destroy in the editor below. getPlanetToDestroy has the following parameter(s): planets[planets[1]....planets[n]]: An array of integers Returns int: the index of the planet to be destroyed. Constraints • 2≤N≤2x105 • 1splanets[i] ≤ 10⁹
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
![1. Astronomy Board Game
In an astronomy board game, N planets in an imaginary universe do not follow the normal law of
gravitation. All the planets are positioned in a row.
The planetary system can be in a stable state only if the sum of the mass of all planets at even
positions is equal to the sum of the mass of planets at the odd positions.
Initially, the system is not stable, but a player can destroy one planet to make it stable. Find the
planet that should be destroyed to make the system stable. If no such planet exists, then return
-1. If there are multiple such planets, then destroy the planet with the smallest index and return
the index of the destroyed planet.
Example
Let N=5 and planets = [2,4,6,3,4]. Destroying the fourth planet of mass 3 will result in planets=
[2,4,6,4], and here, the sum of odd positioned planets is (2+6)=8, and the sum of even positioned
planets is (4+4)=8, and both are equal now. Hence, we destroy the fourth planet.
Function Description
Complete the function getPlanetToDestroy in the editor below.
getPlanetToDestroy has the following parameter(s):
planets[planets[1]....planets[n]]: An array of integers
Returns
int: the index of the planet to be destroyed.
Constraints
• 2≤N≤2x105
• 1splanets[i] ≤ 10⁹](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2fa3f257-838c-4f35-9fc6-24fb8da850a5%2Fe7b9ffef-b9c1-44f8-9f4f-f294f2887033%2F84o7rg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Astronomy Board Game
In an astronomy board game, N planets in an imaginary universe do not follow the normal law of
gravitation. All the planets are positioned in a row.
The planetary system can be in a stable state only if the sum of the mass of all planets at even
positions is equal to the sum of the mass of planets at the odd positions.
Initially, the system is not stable, but a player can destroy one planet to make it stable. Find the
planet that should be destroyed to make the system stable. If no such planet exists, then return
-1. If there are multiple such planets, then destroy the planet with the smallest index and return
the index of the destroyed planet.
Example
Let N=5 and planets = [2,4,6,3,4]. Destroying the fourth planet of mass 3 will result in planets=
[2,4,6,4], and here, the sum of odd positioned planets is (2+6)=8, and the sum of even positioned
planets is (4+4)=8, and both are equal now. Hence, we destroy the fourth planet.
Function Description
Complete the function getPlanetToDestroy in the editor below.
getPlanetToDestroy has the following parameter(s):
planets[planets[1]....planets[n]]: An array of integers
Returns
int: the index of the planet to be destroyed.
Constraints
• 2≤N≤2x105
• 1splanets[i] ≤ 10⁹
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