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 program that can LOCATE and INSERT elements in array using c++ programming languages.

0 Answers  

---

Create a program to read two random data set in two files named data1.txt and data2.txt manifold contains integer numbers, whereas data2.txt file contains the float type numbers. Simpanlahmasing each into 2 pieces of data that is an array of type integer array and an array of type float, then calculate the average numbers in the second array.

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,

---

What is the time complexity T(n) of the following program? a) int n, d, i, j; cin >> n; for (d=1; d<=n; d++) for (i=1; i<=d; i++) for (j=1; j<=n; j += n/10) cout << d << " " << i << " " << j << endl; b) void main() { int n, s, t; cin >> n; for (s = 1; s <= n/4; s++) {t = s; while (t >= 1) { cout << s << " " << t << endl; t--; } } } c) void main() { int n, r, s, t; cin >> n; for (r = 2; r <= n; r = r * 2) for (s = 1; s <= n/4; s++) { t = s; while (t >= 1) { cout << s << " " << t << endl; t--; } } }

3 Answers   CTS, IBM, Infosys, Qatar University,

---

How to Split Strings with Regex in Managed C++ Applications?

0 Answers   Microsoft,

---

write a program to sort 'n' elemnts using bubble sort

1 Answers   IBM,

---

Implement a command console for changing settings on a particular object. The command console should allow you to enter a string and will return the response (very similar to a terminal session). The commands are as follows: SET propertyname=newvalue will change the target object’s member named “propertyname” to have a value equal to “newvalue”. If the input value is incompatible (i.e. an int being set to a string), print out an appropriate error message. GET propertyname will print out the current value of the target object’s member named “propertyname”. GET * will print out a list of all target object members and their current values. The system should be extensible for future commands and should accept an arbitrary object, such that another developer could insert another object into the system and rely on the command console to get and set the properties correctly.

0 Answers   ABC, Guidance Software,

---

How can I Draw an ellipse in 3d space and color it by using graph3d?

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,

---

Given 1 to n random number, find top 10 maximum numbers and explain the time complexity of the algorithm.

1 Answers   IMO, NetApp,

---

#include<stdio.h> #include<conio.h> void main() { char str[10]; int,a,x,sw=0; clrscr(); printf("Enter a string:"); gets(str); for(x=0;x<=a;a++); for(x=0;x<=a;x++) { if(str[x]==str[a-1-x]) { sw=1; } else sw=0; } if(sw==10 printf("The entered string is palindrome:"); else printf("The entered string is not a palindrome:); } getch(); } wht would be the explanation with this written code???

2 Answers  

---

write a program to calculate the amount of investment after a period n years if the principal investors was p and interest is calculated using compound interest,formular=a=p(1+r)^n

0 Answers   Jomo Kenyatta University,

---