A Company has decided to give some gifts to all of its employees. For that, the company has given some rank to each employee. Based on that rank, the company has made certain rules to distribute the gifts.The rules for distributing the gifts are:Each employee must receive at least one gift.Employees having higher ranking get a greater number of gifts than their neighbours.What is the minimum number of gifts required by the company?Constraints:Constraints1 < T < 101 < N < 1000001 < Rank < 10^9InputFirst line contains integer T, denoting the number of test cases.For each test case:First line contains integer N, denoting the number of employees.Second line contains N space separated integers, denoting the rank of each employee.OutputFor each test case print the number of minimum gifts required on a new line.Example:ExampleInput251 2 1 5 221 2Output73
Question
A Company has decided to give some gifts to all of its employees. For that, the company has given some rank to each employee. Based on that rank, the company has made certain rules to distribute the gifts.The rules for distributing the gifts are:Each employee must receive at least one gift.Employees having higher ranking get a greater number of gifts than their neighbours.What is the minimum number of gifts required by the company?Constraints:Constraints1 < T < 101 < N < 1000001 < Rank < 10^9InputFirst line contains integer T, denoting the number of test cases.For each test case:First line contains integer N, denoting the number of employees.Second line contains N space separated integers, denoting the rank of each employee.OutputFor each test case print the number of minimum gifts required on a new line.Example:ExampleInput251 2 1 5 221 2Output73
Solution
The problem is asking to find the minimum number of gifts a company needs to distribute to its employees. The company has certain rules for distributing the gifts based on the rank of each employee. Each employee must receive at least one gift and employees with a higher rank should receive more gifts than their neighbors.
Here are the steps to solve this problem:
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Initialize a list of gifts with the same length as the list of ranks, and set all elements to 1. This is because each employee must receive at least one gift.
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Iterate over the list of ranks from left to right. If the current employee's rank is higher than the previous employee's rank, set the number of gifts for the current employee to be one more than the number of gifts for the previous employee.
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Iterate over the list of ranks from right to left. If the current employee's rank is higher than the next employee's rank and the number of gifts for the current employee is less than or equal to the number of gifts for the next employee, set the number of gifts for the current employee to be one more than the number of gifts for the next employee.
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The minimum number of gifts required by the company is the sum of the number of gifts for all employees.
This algorithm ensures that each employee receives at least one gift and that employees with a higher rank receive more gifts than their neighbors. It also ensures that the total number of gifts is minimized.
Similar Questions
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