Min-Max

Write an algorithm that finds both the smallest and
largest numbers in a list of n numbers and with complexity
T(n) is at most about (1.5)n comparisons.

Answers were Sorted based on User's Feedback



Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / oracle

Simple, first compare all elements pairwise, total n/2
comparisons. Then, you got two sets, first set has all
greater elements, and second all smaller ones. Find largest
in the first set (n/2) and smallest in the second set
(n/2). You got both largest and smallest ones, in total n/2
+ n/2 + n/2 = 3n/2 comparisons.

Is This Answer Correct ?    54 Yes 11 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / ashekur rahman

Time Complexity T(n) <= 3n/2
Proof:
We will calculate comparison in three steps.
1) compare pairwise will divide two sub array.
2) linear search of first sub array
3) linear search of second sub array


For even number of elements,
step 1 needs n/2 comparisons where both sub array contains
n/2 number of elements. Step 2 or 3 needs (n/2 - 1)
comparisons by linear search.

T(n) = n/2 + 2(n/2 - 1)
= 3n/2 - 1

Again,

For odd number of elements,
step 1 needs (n/2 + 1) comparison.
Now if first sub array contains n/2 number of elements then
second sub array contains (n/2 + 1) number of elements

or if first sub array contains (n/2 + 1) number of elements
then second sub array contains n/2 number of elements

Therefore,
T(n) = (n/2 + 1) + (n/2 + 1 - 1) + (n/2 - 1)
= 3n/2

So, T(n) = 3n/2 - 1, if n is even number
and T(n) = 3n/2, if n is odd number

Is This Answer Correct ?    29 Yes 4 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / ashekur rahman

Please follow the link below again, where I have written a
complete C# program. Where I printed the time complexity also.

http://ashikmunna.blogspot.com/2009/05/write-algorithm-that-finds-both_28.html

Is This Answer Correct ?    13 Yes 1 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / ashekur rahman

http://ashikmunna.blogspot.com/2009/05/write-algorithm-that-finds-both.html

Please follow the link to see the answer. Where I
implemented the algorithm and also calculated the time
complexity.
Thanks.
- Ashekur Rahman

Is This Answer Correct ?    11 Yes 1 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / rajashree

3n/2-2

Is This Answer Correct ?    7 Yes 0 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / kush singh

1. Algorithm MaxMin (i,j, max, min)
2. // a[1:n] is a global array Parameter i and j are integers,
3. // 1 „T i „T j < n. The effect is to set max and min to the
4. // largest and smallest values in a [i, j], respectively.
5. {
6. if (i=j) then max:=min:=a[i]; //small(P)
7. else if (i = j ¡V 1) then //Another case of Small (P)
8. {
9. if a [i] < a[j] then
10. {
11. max:=a[j]; min:=a[i];
12. }
13. else
14. {
15. max:=a[i]; min:=a[j]
16. }
17. }
18. else
19. {
20. // If P is not small, divide P into subproblems
21. // Find where to split the set
22. mid:= „¾(i+j)/2„Î;
23. //Solve the subproblems
24. Maxmin (i, mid, max, min);
25. MaxMin (mid+i, j, max1, min1);
26. // Combine the solutions
27. if (max<max 1) then max:=max1;
28. if(min>min1) then min:=min1;
29. }
30. }

Is This Answer Correct ?    4 Yes 0 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / srinivasan

#include<stdio.h>
#define size 10
void main()
{
int a[size]={5,3,18,7,20,0,2,1,16,13},i,j,count=0,t,max,min;
clrscr();
for(i=0;i<size;i++)
printf("%5d",a[i]);

for(i=0,j=size-1;i<j;i++,j--)
{
count++;
if(a[i]>a[j])
{
t=a[i],a[i]=a[j],a[j]=t;
}
}
printf("\n\n");
for(i=0;i<size;i++)
printf("%5d",a[i]);
printf("\n\n");
min=a[0];
for(i=1;i<size/2;i++)
{
count++;
if(a[i]<min)
min=a[i];
}
max=a[size/2];
for(j=size/2+1;j<size;j++)
{ count++;
if(a[j]>max)
max=a[j];
}
printf("%d\n%d is max,min",max,min);
printf("\n%d\n",count);
getch();

}

Is This Answer Correct ?    10 Yes 9 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / amirhosain shahsavari

hi
Some of notations in answer 5 is absolutely wrong:
for even number n: T(n)=(3/2)n-2
for odd number n: we ignore the last item of array.Now you
can find Min1 (minimum of the array items ignoring the last
item), Max1 (maximum of the array items ignoring the last
item) (notice that n-1 is even so Min1 and Max1 can be found
at (3/2)(n-1)-2 comparisons). After that you should compare
Min1 and Max1 with the last item (that you ignored in the
first step). so you need at most (3/2)(n-1)-2+2=(3/2)n-(3/2)
comparisons to find the entire array items

Is This Answer Correct ?    2 Yes 1 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / harish

2(n-1)

Is This Answer Correct ?    27 Yes 28 No

Min-Max Write an algorithm that finds both the smallest and largest numbers in a list of n num..

Answer / jeya

in tree the left most elemt is minimum element.the right
most element is max element.

Is This Answer Correct ?    4 Yes 7 No

Post New Answer

More C++ Code Interview Questions

hello friends, given an expression we have to remove the unwanted brackets in that expression. Eg : (a+b) ---> a+b (a+b)*(c)-----> (a+b)*c. Please mail me if you know the logic. My mail id is : saravana6m@gmail.com. Thank you in advance :-)

1 Answers   GrapeCity, Microsoft,


develop a program to calculate and print body mass index for 200 employees

0 Answers   Jomo Kenyatta University,


write a program that reverses the input number of n.Formulate an equation to come up with the answer.

0 Answers   Satyam,


Given 1 to n distinct random number of which n+1th element was duplicated. How do find the duplicate element and explain the time complexity of the algorithm.

0 Answers   Microsoft, NetApp,


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

1 Answers   Alvin,






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,


swap prog

3 Answers   TCS,


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  


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,


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  


Where now stands that small knot of villages known as the Endians, a mighty forest once stood. Indeed, legand has it that you could have stoodon the edge of the wood and seen it stretch out for miles, were it not for the trees getting in the way. In one section of the forest, the trees stood in a row and were of hight from 1 to n, each hight occurring once and once only. A tree was only visible if there were no higher trees before it in the row. For example, if the heights were 324165, the only visible trees would have been those of height 3,4 & 6. Write a Program that takes an array of integers representing the heights of the trees in the row as input and prints the list of the visible trees.

2 Answers   ABC, Nagarro,


A suduco given & u hv 2 check if it is incomplete(blanks left),or correct or incorrect

0 Answers  


Categories