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.

Write a simple encryption program using string function which apply the substitution method.

0 Answers  

---

Algorithm in O(2n) Presently we can solve in our hypothetical machine problem instances of size 100 in 1 minute using algorithm A, which is a O(2n). We would like to solve instances of size 200 in 1 minute using algorithm A on a new machine. What is the speed of the new machine should be?

2 Answers   ABC, Qatar University,

---

Write a program that takes a 3 digit number n and finds out whether the number 2^n + 1 is prime, or if it is not prime find out its factors.

2 Answers   TCS,

---

write a program that accepts a number and outputs its equivalent in words. take note that the maximum input is 3000

1 Answers   Alvin,

---

what mean void creat_object?in public class in this code class A{ public: int x; A(){ cout << endl<< "Constructor A";} ~A(){ cout << endl<< "Destructor A, x is\t"<< x;} }; void create_object(); void main() { A a; a.x=10; { A c; c.x=20; } create_object(); } void create_object() { A b; b.x=30; }

0 Answers  

---

Coin Problem You are given 9 gold coins that look identical. One is counterfeit and weighs a bit greater than the others, but the difference is very small that only a balance scale can tell it from the real one. You have a balance scale that costs 25 USD per weighing. Give an algorithm that finds the counterfeit coin with as little weighting as possible. Of primary importance is that your algorithm is correct; of secondary importance is that your algorithm truly uses the minimum number of weightings possible. HINT: THE BEST ALGORITHM USES ONLY 2 WEIGHINGS!!!

1 Answers   Motorola, Qatar University,

---

write a program to convert temperature from fa height into celcius and vise versa,use modular programming

0 Answers   Jomo Kenyatta University,

---

what is the diffrence between ++x , x++ pleaaaaase ???

7 Answers  

---

Complexity T(n) Write a linear-time algorithm that sorts n distinct integers, each of which is between 1 and 500. Hint: Use a 500-element array. (Linear-time means your algorithm runs in time c*n + b, where c and b are any constants that do not depend on n. For example, your algorithm can run in time n, or time 2n + 1, or time 5n + 10, or time 100n + 6, but not time c*n*n = c*n?.)

1 Answers   Qatar University,

---

write a program in c++ to scramble a bmp image file using a scramble key 0x7c and an XOR logic. print out the original image, the scrambled image and the program. Note: the first 24bytes of a bmp file contain the header information of the file.

1 Answers  

---

What output does this program generate as shown? Why? class A { A() { cout << "A::A()" << endl; } ~A() { cout << "A::~A()" << endl; throw "A::exception"; } }; class B { B() { cout << "B::B()" << endl; throw "B::exception"; } ~B() { cout << "B::~B()"; } }; int main(int, char**) { try { cout << "Entering try...catch block" << endl; A objectA; B objectB; cout << "Exiting try...catch block" << endl; } catch (char* ex) { cout << ex << endl; } return 0; }

0 Answers  

---

Write a &#61521;(n) algorithm that sorts n distinct integers, ranging in size between 1 and kn inclusive, where k is a constant positive integer. (Hint: Use a kn-element array.)

0 Answers  

---