Given an array of** N** numbers, we need to maximize the sum of selected numbers. At each step, you need to select a number A_{i}, delete one occurrence of **A _{i}-1 (if exists) and A_{i}** each from the array. Repeat these steps until the array gets empty. The problem is to maximize the sum of selected numbers.

**Input:**

The first line of the input contains **T ** denoting the number of the test cases. For each test case, the first line contains an integer **n **denoting the size of the array. Next line contains n space separated integers denoting the elements of the array.

**Output:**

For each test case, the output is an integer displaying the maximum sum of selected numbers.

**Constraints:**

1<=T<=100

1<=n<=50

1<=A[i]<=20

**Note:** Numbers need to be selected from maximum to minimum.

**Example:
Input**

2

3

1 2 3

6

1 2 2 2 3 4

4

10

**Explanation
#Testcase 1:**

At first step we select 3, so 3 and 2 are deleted from the sequence leaving us with 1. Then we select 1 from the sequence and delete it. So the sum of selected numbers is 1+3 = 4.

We select 4, so 4 and 3 are deleted leaving us with {1,2,2,2}. Then we select 2, so 2 & 1 are deleted. We are left with{2,2}. We select 2 in next two steps, thus the sum is 4+2+2+2=10.

Author: Vanshika_pec

If you have purchased any course from GeeksforGeeks then please ask your doubt on course discussion forum. You will get quick replies from GFG Moderators there.

hardikJain5 | 110 |

CodeBuddy | 107 |

Akkki111 | 100 |

saurabhgrade1 | 98 |

WrongAnswer | 80 |

KshatriyaYash | 1932 |

nikhil_sojan | 1374 |

lonecoder | 1236 |

SumitSingh27 | 1103 |

mazumderrohit8 | 1095 |

blackshadows | 5327 |

Ibrahim Nash | 5219 |

akhayrutdinov | 5111 |

mb1973 | 4566 |

Quandray | 4444 |

Login to report an issue on this page.