C++ Language An e-commerce company specializes in cards with sports figures on them. Each sport has differentcategories of cards. For instance, there might be more desirable cards with the most popular sportspersonalities, others with small pieces of a player's jersey attached, and so on. They have a number of eachcategory of card and want to make some number of packets greater than 1 that each contain equalnumbers of each type of card. To do this, they will add more cards of each type until each type can bedivided equally among some number of packets. Determine the minimum number of additional cardsneeded to create a number of packets with equal type distribution.Examplen=5cardTypes = [4, 7, 5, 11, 15]In order to make 2 matching packets, the following numbers of additional cards of each type must beadded: [0, 1, 1, 1, 1]. This sums to 4 additional cards. The numbers of cards are [4, 8, 6, 12, 16] and they canbe divided evenly among 2 packets. If 3 packets are created, an additional [2, 2, 1, 1, 0] cards are needed,sum = 6 items. This yields quantities [6, 9, 6, 12, 15]. Any number of packets > 2 can be created, but creating2 packets requires the minimum number of additional cards.Function DescriptionComplete the function cardPackets in the editor below.cardPackets has the following parameter(s):int cardTypes[n]: the quantity available of card typeReturnsint: the minimum number of additional cards to addConstraints• 1sns10²• 1 ≤ card Types[i] ≤ 500Input Format For Custom TestingThe first line contains an integer, n, the size of the card Types array.Each line / of the n subsequent lines (where Osi

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Chapter8: Working With Advanced Functions

Section: Chapter Questions

Problem 4.7CP

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Question

C++ Language

An e-commerce company specializes in cards with sports figures on them. Each sport has different
categories of cards. For instance, there might be more desirable cards with the most popular sports
personalities, others with small pieces of a player's jersey attached, and so on. They have a number of each
category of card and want to make some number of packets greater than 1 that each contain equal
numbers of each type of card. To do this, they will add more cards of each type until each type can be
divided equally among some number of packets. Determine the minimum number of additional cards
needed to create a number of packets with equal type distribution.
Example
n=5
cardTypes = [4, 7, 5, 11, 15]
In order to make 2 matching packets, the following numbers of additional cards of each type must be
added: [0, 1, 1, 1, 1]. This sums to 4 additional cards. The numbers of cards are [4, 8, 6, 12, 16] and they can
be divided evenly among 2 packets. If 3 packets are created, an additional [2, 2, 1, 1, 0] cards are needed,
sum = 6 items. This yields quantities [6, 9, 6, 12, 15]. Any number of packets > 2 can be created, but creating
2 packets requires the minimum number of additional cards.
Function Description
Complete the function cardPackets in the editor below.
cardPackets has the following parameter(s):
int cardTypes[n]: the quantity available of card type
Returns
int: the minimum number of additional cards to add
Constraints
• 1sns10²
• 1 ≤ card Types[i] ≤ 500
Input Format For Custom Testing
The first line contains an integer, n, the size of the card Types array.
Each line / of the n subsequent lines (where Osi<n) contains an integer cardTypes[i].

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