Answer / tilak chandan

Lemma: A subtree rooted at node v has at least 2bh(v) − 1 internal nodes.
Proof of Lemma (by induction height):
Basis: h(v) = 0
If v has a height of zero then it must be null, therefore bh(v) = 0. So:
2bh(v) − 1 = 20 − 1 = 1 − 1 = 0
Inductive Step: v such that h(v) = k, has at least 2bh(v) − 1 internal nodes implies that v' such that h(v') = k+1 has at least 2bh(v') − 1 internal nodes.
Since v' has h(v') > 0 it is an internal node. As such it has two children each of which have a black-height of either bh(v') or bh(v')-1 (depending on whether the child is red or black, respectively). By the inductive hypothesis each child has at least 2bh(v') − 1 − 1 internal nodes, so v' has at least:
2bh(v') − 1 − 1 + 2bh(v') − 1 − 1 + 1 = 2bh(v') − 1
internal nodes.
Using this lemma we can now show that the height of the tree is logarithmic. Since at least half of the nodes on any path from the root to a leaf are black (property 4 of a red black tree), the black-height of the root is at least h(root)/2. By the lemma we get:

Therefore the height of the root is O(log(n)).

Answer / pudwallis gudzinsky

I do not know the answer either. In fact, I do not believe
that a question was asked. Therefore, I feel that this is
a trick non-question. If the question was "Do I like tater
tots?" Indeed the answer would be a resounding Yes and I
am 100 percent certain that this answer is correct.

If there are girls available in the room, I would not like
strike with them.

Answer / haresh

Actually i was searching for the same answer as i dont know
what the answer is.. But yah if there are girls in ur room i
will be happy striking with them lol

Answer / ssss ss

I do not know what the answer is .I am subhani and you are
not my friend .However I do not the answer.But you do not
know the answer.You have already told me that i have already
strike with the girls available in the room.

Counting in Lojban, an artificial language developed over the last fourty years, is easier than in most languages The numbers from zero to nine are: 0 no 1 pa 2 re 3 ci 4 vo 5 mk 6 xa 7 ze 8 bi 9 so Larger numbers are created by gluing the digit togather. For Examle 123 is pareci Write a program that reads in a lojban string(representing a no less than or equal to 1,000,000) and output it in numbers.

4 Answers  

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1. Write a program using one dimensional array that calculates the sum and average of the five input values from the keyboard and prints the calculated sum and average.

2 Answers  

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what is the best algorithm to sort out unique words from a list of more than 10 million words(1 crore+)? we need the best technique in the terms of execution time.

9 Answers   TCS,

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Definition of priority queue was given. We have to implement the priority queue using array of pointers with the priorities given in the range 1..n. The array could be accessed using the variable top. The list corresponding to the array elements contains the items having the priority as the array index. Adding an item would require changing the value of top if it has higher priority than top. Extracting an item would require deleting the first element from the corresponding queue. The following class was given: class PriorityQueue { int *Data[100]; int top; public: void put(int item, int priority); // inserts the item with the given priority. int get(int priority); // extract the element with the given priority. int count(); // returns the total elements in the priority queue. int isEmpty(); // check whether the priority queue is empty or not. }; We had to implement all these class functions.

0 Answers   Nagarro, Wollega University,

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Code for Small C++ Class to Transform Any Static Control into a Hyperlink Control?

0 Answers   Wipro,

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#include<iostream.h> //main() //{ class A { friend class B; public: void read(); }; class B { public : int a,b; }; void A::read() { cout<<"welcome"; } main() { A x; B y; y.read(); } In the above program......, as B is a friend of A B can have access to all members,i cant access y.read . could you please tell me the reason and what would i code to execute this program?

2 Answers  

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write a function – oriented program that calculates the sum of the squares from 1 to n. thus, if the input is 3, the output is 14

3 Answers  

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How to swap two ASCII numbers?

0 Answers  

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write a function that reverse the elements of an array in place.The function must accept only one pointer value and return void.

0 Answers   HCL, SRCASW,

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Question 1: Implement a base class Appointment and derived classes Onetime, Daily, Weekly, and Monthly. An appointment has a description (for example, “see the dentist”) and a date and time. Write a virtual function occurs_on(int year, int month, int day) that checks whether the appointment occurs on that date. For example, for a monthly appointment, you must check whether the day of the month matches. Then fill a vector of Appointment* with a mixture of appointments. Have the user enter a date and print out all appointments that happen on that date. *This Should Be Done IN C++

0 Answers  

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write a program to perform generic sort in arrays?

0 Answers  

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What output does the following code generate? Why? What output does it generate if you make A::Foo() a pure virtual function? class A { A() { this->Foo(); } virtual void Foo() { cout << "A::Foo()" << endl; } }; class B : public A { B() { this->Foo(); } virtual void Foo() { cout << "A::Foo()" << endl; } }; int main(int, char**) { A objectA; B objectB; return 0; }

0 Answers  

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