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1+1/2!+1/3!+...+1/n!


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A research student is given a singly-linked list. Each node of the list has a color, which is either “Black” or “White”. He must find if there are more black nodes than white nodes, or vice versa. His advisor gives him 5,000Rs to buy a computer to do the work. He goes to the computer store and finds a slightly defective computer which costs a mere 3,000Rs. This computer has the small problem of not being able to do arithmetic. This means that he cannot use a counter to count the nodes in the list to determine the majority color. The computer is otherwise fully functional. He has the evil idea that he could buy the defective computer and somehow use it to do his work, so that he can use the rest of the money on enjoyment. Show how he can accomplish this amazing task. Write code for an algorithm called ‘findMajorityColor’ which takes a singly-linked list, L, with n nodes and returns the majority color among nodes of L. This algorithm should have the same asymptotic running time as counting the nodes (O(n)). Note: No arithmetic is allowed.   1
write a c program, using for loop, that accepts and odds two numbers. The output must be the sum and the addens. This should be repeated 5 times while the first number is decremented by one and the second number is incremented by 1. IBM 2
write a program that calculate the volume of cylinder after user enters radius and height and show the algorithm used Jomo-Kenyatta-University 1
Faster Computers Suppose you have a computer that requires 1 minute to solve problem instances of size 1000. What instance sizes can be run in 1 minute if you buy a new computer that runs 1000 times faster than the old one, assuming the following time complexities T(n) for our algorithm? (a) T(n) = O(n). (b) T(n) = O(n3). (c) T(n) = O(10n). Qatar-University 1
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
void main() { int i,j=2; for(i=0;i<3;i++) if(j=i) cout<<"Lotus "; else cout<<"Rose "; } Its result is Rose Lotus Lotus.. How? Explain it?   2
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
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. Amazon 4
can we declare an object of a class in another class?(assume both class as public classes) Microsoft 1
Show by induction that 2n > n2, for all n > 4. Qatar-University 2
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--; } } } Qatar-University 3
Write an algorithm that receives a string and reverses it.   2
 
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