You have n𝑛 chocolates. You can perform the following operation each day as long as you have at least one chocolate:Choose any p𝑝 people from an infinite number of people (1≤p≤current amount of chocolates)(1≤𝑝≤current amount of chocolates).While you have at least p chocolates:Give exactly one chocolate to each of p𝑝 person.Move to the next day with the remaining chocolates.It is not necessary to select the same p𝑝 each day. Your task is to determine the maximum number of days you can perform the above operation.InputThe first line contains a single integer t𝑡 (1≤t≤105)(1≤𝑡≤105) — the number of test cases.The first line of each test case contains a single integers n𝑛 (1≤n≤1018)(1≤𝑛≤1018)  — described in the statement. OutputFor each test case, print a single integer — described in the statement.

There are 𝑁 people standing in a row with some 𝑐𝑜𝑢𝑛𝑡𝑖 (1≤𝑖≤𝑁) number of chocolates in their hands. You have to select a range of people and take all their chocolates with the condition that you should be able to distribute those chocolates equally among 𝑀 boxes.Write a program to determine the maximum number of chocolates that can be placed in a box.Input formatFirst line: 𝑇 (number of test cases)First line in each test case: Two space-separated integers 𝑁 and 𝑀Second line in each test case: 𝑁 space-separated integers (denoting the number of chocolates)Output formatFor each test case, print the maximum number of chocolates that can be placed in a box.Constraints1≤𝑇≤1031≤𝑁,𝑀≤1050≤𝐶𝑜𝑢𝑛𝑡𝑖≤105Sum of 𝑁 over all test cases ≤107Sample input35 31 2 3 4 55 41 2 3 4 55 81 2 3 4 5Sample output530ExplanationIn first case, you can choose the range [1 , 5] as 1+2+3 + 4 + 5 = 20 , each box will have 5 chocolates.In second case, you can choose the range [3 , 5] as 3 + 4 + 5 = 12 , each box will have 3 chocolates.In third case, there is no way to choose any range such that 8 boxes can be filled equally.

Calculate minimum number of such operations needed to ensure that every colleague has the same number of chocolates.

Alice and Bob are very good friends and they always distribute all the eatables equally among themselves.Alice has 𝐴A chocolates and Bob has 𝐵B chocolates. Determine whether Alice and Bob can distribute all the chocolates equally among themselves.Note that:It is not allowed to break a chocolate into more than one piece.No chocolate shall be left in the distribution.Input FormatThe first line of input will contain an integer 𝑇T — the number of test cases. The description of 𝑇T test cases follows.The first and only line of each test case contains two space-separated integers 𝐴A and 𝐵B, the number of chocolates that Alice and Bob have, respectively.Output FormatFor each test case, output on a new line YESYES if Alice and Bob can distribute all the chocolates equally, else output NONO. The output is case insensitive, i.e, yesyes, YeSYeS, yESyES will all be accepted as correct answers when Alice and Bob can distribute the chocolates equally.Constraints1≤𝑇≤10001≤T≤10001≤𝐴,𝐵≤1051≤A,B≤10 5 Sample 1:InputOutput41 11 31 21 4YESYESNONOExplanation:Test case 11: Both Alice and Bob already have equal number of chocolates, hence it is possible to distribute the chocolates equally among Alice and Bob.Test case 22: If Bob gives one of his chocolates to Alice, then both of them will have equal number of chocolates, i.e. 22. So, it is possible to distribute the chocolates equally among Alice and Bob.Test case 33: There are total 33 chocolates. These chocolates cannot be divided equally among Alice and Bob.Test case 44: Alice and Bob cannot have equal number of chocolates, no matter how they distribute the chocolates.

Chocolate BarProblem Statement:Two friends, Alice and Bob, want to share a chocolate bar. Each square of the chocolate bar has a number on it.Alice wants to divide the chocolate bar into contiguous segments such that:The length of the segment matches Bob's birth month.The sum of the numbers on the squares within the segment equals Bob's birth day.Your task is to determine how many ways Alice can divide the chocolate bar according to Bob's birth day and month.Input Format:The first line contains an integer n, representing the number of squares in the chocolate bar.The second line contains n space-separated integers, representing the numbers on the chocolate squares.The third line contains two space-separated integers, d and m, representing Bob's birth day and birth month.Constraints:1 <= n <= 1001 <= number on chocolate square <= 51 <= d <= 311 <= m <= 12Output Format:The number of ways Alice can divide the chocolate bar satisfying Bob's birth day and month.Example:Consider a chocolate bar with numbers on the squares: [2, 2, 1, 3, 2]If Bob's birth day is 4 and his birth month is 2, Alice wants to find segments with a length of 2 and a sum equal to 4. In this case, two segments are meeting her criteria: [2, 2] and [1, 3].Sample Test CasesTest Case 1:Expected Output:52 2 1 3 2422Test Case 2:Expected Output:52 2 2 2 2430Test Case 3:Expected Output:12211

Chef is buying sweet things to prepare for Halloween!The shop sells both chocolate and candy.Each bar of chocolate has a tastiness of 𝑋X.Each piece of candy has a tastiness of 𝑌Y.One packet of chocolate contains 22 bars, while one packet of candy contains 55 pieces.Chef can only buy one packet of something sweet, and so has to make a decision: which one should he buy in order to maximize the total tastiness of his purchase?Print Chocolate if the packet of chocolate is tastier, Candy if the packet of candy is tastier, and Either if they have the same tastiness.Input FormatThe first line of input will contain a single integer 𝑇T, denoting the number of test cases.Each test case consists of one line of input, containing two space-separated integers 𝑋X and 𝑌Y — the tastiness of one bar of chocolate and one piece of candy, respectively.Output FormatFor each test case, output on a new line the answer:Chocolate if the packet of chocolate is tastier.Candy if the packet of candy is tastier.Either if they have the same tastiness.You may print each character of the output in either uppercase or lowercase, i.e, Candy, CANDY, CaNdY and cANDy will all be treated as equivalent.Constraints1≤𝑇≤1001≤T≤1001≤𝑋,𝑌≤101≤X,Y≤10Sample 1:InputOutput45 15 25 33 10ChocolateEitherCandyCandyExplanation:Test case 11: The packet of chocolate has a tastiness of 2×5=102×5=10, while the packet of candy has a tastiness of 5×1=55×1=5. The chocolate is tastier.Test case 22: The packet of chocolate has a tastiness of 2×5=102×5=10, while the packet of candy has a tastiness of 5×2=105×2=10. They have the same tastiness.Test case 33: The packet of chocolate has a tastiness of 2×5=102×5=10, while the packet of candy has a tastiness of 5×3=155×3=15. The candy is tastier.Test case 44: The packet of chocolate has a tastiness of 2×3=62×3=6, while the packet of candy has a tastiness of 5×10=505×10=50. The candy is tastier.