At the farewell party of a certain class, having n students, if each student of the class gave one gift each to exactly k other students of the class, the number of students in the class who received at least one gift each cannot be less thank.k + 1.n – k.n – 1.
Question
At the farewell party of a certain class, having n students, if each student of the class gave one gift each to exactly k other students of the class, the number of students in the class who received at least one gift each cannot be less thank.k + 1.n – k.n – 1.
Solution
The statement seems to be a mathematical expression, but it's not clear what the question is. However, I can explain the statement.
The statement is saying that in a class of 'n' students, if each student gives a gift to 'k' other students, then the number of students who receive at least one gift cannot be less than k.k + 1.n - k.n - 1.
Here's a step-by-step breakdown:
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Each student gives a gift to 'k' other students. This means there are a total of n*k gifts given out.
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The expression k.k + 1.n - k.n - 1 seems to be a calculation of the minimum number of students who must receive at least one gift. However, the expression is not clear and seems to be incorrect or incomplete.
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If each student gives a gift to 'k' other students, then logically, the minimum number of students who receive at least one gift would be 'k' (if all students gave their gifts to the same 'k' students) or 'n' (if the gifts were distributed evenly among all students).
Without a clear question or a correct mathematical expression, it's difficult to provide a more precise answer.
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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
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 2Output73Explanation:ExplanationEmployee # 1 whose rank is 1 gets one giftEmployee # 2 whose rank is 2 gets two giftsEmployee # 3 whose rank is 1 gets one giftEmployee # 4 whose rank is 5 gets two giftsEmployee # 5 whose rank is 2 gets one giftTherefore, total gifts required is 1 + 2 + 1 + 2 + 1 = 7Similarly, for testcase 2, adhering to rules mentioned above,Employee # 1 whose rank is 1 gets one giftEmployee # 2 whose rank is 2 gets two giftsTherefore, total gifts required is 1 + 2 = 3
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