Group Assignment CodeChef Solution

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Group Assignment CodeChef Solution

Group Assignment CodeChef Solution

Chef is hosting a party at his house and NN people are invited to it. Everyone has arrived and they are eager to make a group and chit-chat.

The ithith person prefers to be in a group of exactly PiPi people (including himself). A person who is not in a group of preferred size gets upset. Find whether Chef would be able to assign every person to a group such that everyone remains happy.

Input Format

• The first line of input will contain a single integer TT, denoting the number of test cases.
• Each test case consists of multiple lines of input.
  • The first line of each test case contains an integer NN — the number of people at the party.
  • The next line contains the array PP — where PiPi denotes the preferred group size for ithith person.

Group Assignment CodeChef Solution

Output Format

For each test case, output YES, if Chef can assign every person to a group such that everyone remains happy. Otherwise output NO.

The output is case-insensitive, meaning that outputs such as yES, YeS, YES and yes mean the same.

Constraints

• 1≤T≤10001≤T≤1000
• 2≤N≤1052≤N≤105
• 2≤Pi≤N2≤Pi≤N
• Sum of NN over all test cases does not exceed 105105.

Sample Input 1 

4
5
2 3 2 3 3
5
5 5 5 5 5
5
3 2 2 3 2
4
4 4 4 3

Sample Output 1 

YES
YES
NO
NO

Explanation

Group Assignment CodeChef Solution

Test case 11:

• Person 11 and 33 can make a group (As both want to be in a group of 22).
• Person 22, 44 and 55 can make a group (As they all want to be in a group of 33).

So, there is a possible arrangement that Chef can make so that all of them are happy.

Test case 22:

• All of the 55 people can make a group (As all want to be in a group of 55).

So, there is a possible arrangement that Chef can make so that all of them are happy.

Test case 33: It can be shown that there is no possible arrangement that Chef can make so that all of them are happy.

Test case 44: It can be shown that there is no possible arrangement that Chef can make so that all of them are happy.

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