Re: [algogeeks]

2010-07-31 Thread Shiv ...
No it won't it will just reduce the height of tree to n/2 (from n). My algo- 1. Parse in triplets. For every 3 nodes make the second one parent of other two. Also, queue up such parents. 2. repeat step 1 till you have only 1 node left (root). But this may give a tree 'imbalanced at root. we may n

Re: [algogeeks] Re: What is the time complexity of multiplying two n-digit numbers base b

2010-07-31 Thread Shiv ...
An edgy case... On Sun, Aug 1, 2010 at 9:52 AM, Shiv ... wrote: > What about this- > = > long multiply(long num, int n) { > long bigSum=0; > while(n>=1) { > int sum =num; int j*=1*; //to avoid garbage @n=1. > for(int i =2; i<=n; i= i*

Re: [algogeeks] Re: What is the time complexity of multiplying two n-digit numbers base b

2010-07-31 Thread Shiv ...
What about this- = long multiply(long num, int n) { long bigSum=0; while(n>=1) { int sum =num; int j; for(int i =2; i<=n; i= i*2) { sum+=sum; j=i; } //for

Re: [algogeeks]

2010-07-31 Thread Manjunath Manohar
find the middle of the list and make it as the root..thus i this maner u will get a balanced tree.. -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this grou

Re: [algogeeks] Re: What is the time complexity of multiplying two n-digit numbers base b

2010-07-31 Thread Apoorve Mohan
If suppose we want to Do N*K then we add N K-times or K N-times. hence the complexity should be O(N*K) On Sat, Jul 31, 2010 at 9:12 PM, Dave wrote: > If by "repeated addition method," you mean > > m + m + m + ... + m (where m occurs k times) > > for forming the product k*m, then the work of f

Re: [algogeeks] Merging Companies Problem

2010-07-31 Thread sharad kumar
Cant u slit it s n/2 companies and merge them recursively .like x^y the multiply x to y/2 time and then multiply tht product twice. On Sat, Jul 31, 2010 at 6:59 PM, sourav wrote: > Suppose we start with n companies that eventually merge into one big > company. How many different ways are th

Re: [algogeeks] Amazon Placement Question

2010-07-31 Thread Nikhil Jindal
@Ram Kumar: Yes. Simple and affective. Just at each node: node->left->side=node->right node->right->side=node->side->left i.e at each node you are setting the side of each of your child. Go on and just do it for all nodes. Done. On Sat, Jul 31, 2010 at 9:39 AM, Ram Kumar wrote: > DONT DO A BFS

Re: [algogeeks] Re: What is the time complexity of multiplying two n-digit numbers base b

2010-07-31 Thread Nikhil Jindal
Multiplying two n digit numbers, where multiplication of two 1 digit numbers is O(1), is : O(n^2). On Sat, Jul 31, 2010 at 9:12 PM, Dave wrote: > If by "repeated addition method," you mean > > m + m + m + ... + m (where m occurs k times) > > for forming the product k*m, then the work of forming

Re: [algogeeks] Merging Companies Problem

2010-07-31 Thread Nikhil Jindal
For merging n companies, F(n) = n*F(n-1) for n > 3. Base case, F(3) = 3. On Sat, Jul 31, 2010 at 6:59 PM, sourav wrote: > Suppose we start with n companies that eventually merge into one big > company. How many different ways are there for them to merge? > > With three companies {a,b,c}, we need

Re: [algogeeks] minimum window containing charecters

2010-07-31 Thread Nikhil Jindal
At the moment, I can only think of an O(n^3) algo. Maybe if you can find a hash function which computes the hash value depending on the unique characters the string contains, you can reduce it to O(n^2). On Sat, Jul 31, 2010 at 7:09 PM, srikanth sg wrote: > given two string , find the minimum w

[algogeeks]

2010-07-31 Thread SHRISH MISHRA
A doubly linked list with ordered nodes(increasing order) is a SKEWED BST. How can we change it into (inplace)balanced BST . Shrish Mishra NIT,Allahabad -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to al

Re: [algogeeks] minimum window containing charecters

2010-07-31 Thread srikanth sg
LOL :P On Sat, Jul 31, 2010 at 8:18 AM, jalaj jaiswal wrote: > @ abv ... ab to band kar de bhai > > > On Sat, Jul 31, 2010 at 7:09 PM, srikanth sg wrote: > >> given two string , find the minimum width in string 1 containing the >> all characters of string 2 , they may present in different orde

Re: [algogeeks] minimum window containing charecters

2010-07-31 Thread jalaj jaiswal
@ abv ... ab to band kar de bhai On Sat, Jul 31, 2010 at 7:09 PM, srikanth sg wrote: > given two string , find the minimum width in string 1 containing the > all characters of string 2 , they may present in different order > string 1-HELLO > string 2- LE > answer-2 > > -- > You received this mes

[algogeeks] Merging Companies Problem

2010-07-31 Thread sourav
Suppose we start with n companies that eventually merge into one big company. How many different ways are there for them to merge? With three companies {a,b,c}, we need to find the number of ways that the three companies can become two companies, and for every one of those possibilities, the two r

[algogeeks] Re: What is the time complexity of multiplying two n-digit numbers base b

2010-07-31 Thread Dave
If by "repeated addition method," you mean m + m + m + ... + m (where m occurs k times) for forming the product k*m, then the work of forming k*m where k and m are n digit numbers is O((k-1)*n). Using the elementary school algorithm, the work can be reduced to O(n^2). See http://en.wikipedia.or

Re: [algogeeks] What is the time complexity of multiplying two n-digit numbers base b

2010-07-31 Thread Shiv ...
O(log n). If u add in pairs. e.g. (5+5)=10. now add 10+10. On Sat, Jul 31, 2010 at 6:28 PM, sourav wrote: > When you first learned to multiply numbers, you were told that x * y > means adding x a total of y times, so 5 * 4 = 5+5+5+5 = 20. What is > the time complexity of multiplying two n-digi

[algogeeks] Re: algorithm

2010-07-31 Thread Dave
@Debajyoti. There are 25 possible values of 5*rand5() + rand5(). The largest multiple of 7 not exceeding 25 is 3*7. Thus, I divide by 3. The largest number n such that n/3 = 7 is 23. This is where the 3 and 23 come from. You might google "rejection method" to find fuller descriptions of the theory

[algogeeks] Re: algorithm

2010-07-31 Thread Dave
@Sony. I took (2/3)*rand5() as if (2/3) was a double. Otherwise, (2/3)*rand5() = 0*rand5() = 0, which is not what you calculated when you wrote 2*(i/3) instead of (2/3)*i. And yes, the fact that the distribution is not uniform does matter, since we want the results to be uniform. Using your interp

[algogeeks] minimum window containing charecters

2010-07-31 Thread srikanth sg
given two string , find the minimum width in string 1 containing the all characters of string 2 , they may present in different order string 1-HELLO string 2- LE answer-2 -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group,

Re: [algogeeks] Re: algorithm

2010-07-31 Thread Debajyoti Sarma
why u have chosen that 23 ? why dividing by 3 ? don't understand the logic. Please explain so that it become understandable. On 7/31/10, Dave wrote: > Use the rejection method... > > int rand7() > { > int i; > do > i = 5 * rand5() + rand5() - 3; > while( i > 23 ); > return

[algogeeks] What is the time complexity of multiplying two n-digit numbers base b

2010-07-31 Thread sourav
When you first learned to multiply numbers, you were told that x * y means adding x a total of y times, so 5 * 4 = 5+5+5+5 = 20. What is the time complexity of multiplying two n-digit numbers in base b using the repeated addition method, as a function of n and b. Assume that single-digit by single-

Re: [algogeeks] Re: number of BST's

2010-07-31 Thread jalaj jaiswal
catalan number works fine On Sat, Jul 31, 2010 at 4:55 PM, Soumya_Prasad_Ukil wrote: > @above, >result is incorrect for n=4. It should print 14. > > > On 31 July 2010 16:44, Manjunath Manohar wrote: > >> the number of unique binary trees which can be formed with n nodes is >> (2^n)-n

Re: [algogeeks] Re: algorithm

2010-07-31 Thread Sony Jose
Hi Dave, i just checked; int i; int j; for(i=1;i<6;i++) { j = 2*(i/3); printf("\n%d\n",j); } gives me output 0,0,2,2,2. and there was no 3; and since we are anyway generating "random" numbers would this difference in distribution really matter? On Sat, Jul 31, 2010 at 6:30 PM

[algogeeks] Re: algorithm

2010-07-31 Thread Dave
@Sony. No. Consider the following table: rand5() (2/3)*rand5() _ 10 21 32 42 53 Thus, (2/3)*rand5() is not uniformly distributed, nor is it in the range 0 to 2. Dave On Jul 31, 7:49 am, S

Re: [algogeeks] Re: algorithm

2010-07-31 Thread Sony Jose
what about int i = rand5() + (2/3)*rand5(); won't this work? On Sat, Jul 31, 2010 at 5:46 PM, Dave wrote: > Use the rejection method... > > int rand7() > { >int i; >do >i = 5 * rand5() + rand5() - 3; >while( i > 23 ); >return i / 3; > } > > The loop assigns i a value b

[algogeeks] Re: algorithm

2010-07-31 Thread Dave
Use the rejection method... int rand7() { int i; do i = 5 * rand5() + rand5() - 3; while( i > 23 ); return i / 3; } The loop assigns i a value between 5*1+1-3 = 3 and 5*5+5-3 = 27 with uniform probability, and then rejects any value of i > 23. Thus, after the loop, i has a

Re: [algogeeks] Re: number of BST's

2010-07-31 Thread Soumya_Prasad_Ukil
@above, result is incorrect for n=4. It should print 14. On 31 July 2010 16:44, Manjunath Manohar wrote: > the number of unique binary trees which can be formed with n nodes is > (2^n)-n > > -- > You received this message because you are subscribed to the Google Groups > "Algorithm Ge

Re: [algogeeks] Re: number of BST's

2010-07-31 Thread Manjunath Manohar
the number of unique binary trees which can be formed with n nodes is (2^n)-n -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algoge...@googlegroups.com. To unsubscribe from this group, send email to algo

[algogeeks] algorithm

2010-07-31 Thread jalaj jaiswal
given a rand5 function which generates numbers from 1 to 5 with equal probability.. give an algorithm which uses rand5 function and generates numbers from 1 to 7 with equal probability -- With Regards, Jalaj Jaiswal +919026283397 B.TECH IT IIIT ALLAHABAD -- You received this message because you

Re: [algogeeks] Amazon question

2010-07-31 Thread jalaj jaiswal
put all the players in a stack now pop two players from stack insert the winning player in to a circular doubly linked list. now repeat the procedure and while inserting in doubly linked list if the linked list is not null then start from tail and compare the popped node with it that whether it won

[algogeeks] Re: Complexity of Algorithms [√n and l og (n^2)]

2010-07-31 Thread sourav sain
A small correction. You need to prove if f(n) = O(g(n)). My Proff (under Note) is for f(n) = Ω(g(n)) On Sat, Jul 31, 2010 at 12:08 AM, sourav wrote: > f(n) = sqrt(n) [squate root of n] > g(n) = log(^2) [log of (n square)] > > For the above pair of functions is f(n) = Ω(g(n))? i.e., is there som

[algogeeks] Complexity of Algorithms [√n and log ( n^2)]

2010-07-31 Thread sourav
f(n) = sqrt(n) [squate root of n] g(n) = log(^2) [log of (n square)] For the above pair of functions is f(n) = Ω(g(n))? i.e., is there some c > 0, such that f(n) >= g(n) for all n? Give proof in case answer is yes or no. -

[algogeeks] Re: number of BST's

2010-07-31 Thread vikas kumar
int countTree(int num) { if(num <= 1) return 1; int sum =0; for(i =1; i wrote: > Follow up on Catalon Nubmer... > > On Fri, Jul 30, 2010 at 10:44 AM, Amit Jaspal wrote: > > > > > n is clearly a number lets say 3 then BST's with 1,2,3 values as key are to > > be calculated > > > On Fri, Jul

Re: [algogeeks] number of BST's

2010-07-31 Thread Apoorve Mohan
is n not the number of nodes? On Fri, Jul 30, 2010 at 11:58 AM, Pramod Negi wrote: > Follow up on Catalon Nubmer... > > > > On Fri, Jul 30, 2010 at 10:44 AM, Amit Jaspal wrote: > >> n is clearly a number lets say 3 then BST's with 1,2,3 values as key are >> to be calculated >> >> >> On Fri, Jul

Re: [algogeeks] Amazon Placement Question

2010-07-31 Thread Priyanka Chatterjee
@Anand, you are partly correct, thanks for modifying my code On 31 July 2010 00:01, Anand wrote: > I highlighted the code which I feel need a change. Do let me know if it > correct. > > LinkNode *levelOrderTraversal(node *root, int level) > { > LinkNode *ptr1, *ptr2, temp; > > if(root == NUL

Re: [algogeeks] number of BST's

2010-07-31 Thread Ram Kumar
The question is to find the no of structures possible for a BST which is directly given bycomputing the catalan number for n(no of nodes) -- You received this message because you are subscribed to the Google Groups "Algorithm Geeks" group. To post to this group, send email to algoge...@googlegro

Re: [algogeeks] number of BST's

2010-07-31 Thread ankur bhardwaj
int num_of_BST(int n) { int sum=0; int left,right,root; if(n<=1) return 1; else { for(root=1;root<=n;root++) { left=num_of_BST(root-1); right=num_of_BST(n-root); sum+=left*right; } } return sum; } On Thu, Jul 29, 2010 at 9:56 PM, amit wrote: > Given the numbers from 1 to n, write an algorithm to

[algogeeks] Amazon question

2010-07-31 Thread Ram Kumar
Consider there are N players who have a round robin tournament. input is a data structure which says who won the match for every pair i != j . write an algo to give a sequence A[1...n] such that for ever i , i th player lost to i+1 th player and won against i-1 th player. -- Regards, Ramkumar.G

[algogeeks] Re: Generate a number

2010-07-31 Thread rahul patil
can u give example? is it like that for 3 , a no which is made of 1st ,2nd and 3rd digit should be divisible by 3 or individual all three digits must be divisible by 3? A 2nd case seems impossible. On Jul 30, 9:12 am, "Shiv ..." wrote: > If space is not a restriction- > > Build a B-tree. > 1.