Amazon Online Assessment 2021 (OA) - Number Game
You are playing a card game with your friends. Every card is marked with a positive integer. You start the game with 2N cards on your hand, and the game lasts N rounds. In each round, you have to remove 2 cards from your hand.
Your score in each round is gcd(card, card2) * round_number
, where card
and card2
are the cards that you removed and round_number
is the current round. Your total score will be the sum of the scores that you received in each round.
What is the maximum total score that you can get?
Constraints
1 <= n <= 10
, n
represents the total number of rounds.
1 <= cards[i] <= 10^9
, cards
represents the array of the cards on your hand, and cards[i]
represents the positive integer marked on card i
.
The round_number starts from 1.
Examples
Example 1:
Input:
n = 3
cards = [8, 5, 6, 25, 6, 16]
Output: 41
Explanation:
The game can proceed as follow:
- round_number 1: remove
card = 5
,card2 = 25
, sogcd(5, 25) * round_number = 5 * 1 = 5
. - round_number 2: remove
card = 6
,card2 = 6
, sogcd(6, 6) * round_number = 6 * 2 = 12
. - round_number 3: remove
card = 8
,card2 = 16
, sogcd(8, 16) * round_number = 8 * 3 = 24
.
The maximum total score is 5 + 12 + 24 = 41
.
Try it yourself
Solution
Title
Script
Lorem Ipsum is simply dummy text of the printing and typesetting industry. Lorem
Ipsum
has been the industry's standard dummy text ever since the 1500s, when an unknown printer took a galley of type and scrambled it to make a type specimen book.
Contrary to popular belief, Lorem
Ipsum
is not simply random text.
>>> a = [1, 2, 3]
>>> a[-1]
3