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- 14) What is the new value of a after execution of following code? Consider ch=2 a. 45 b. 57 c. 47 d. 55Using C Language, what is the output of this code? #include<stdio.h> #include<conio.h> #define r 3 #define c 4 int z[r][c] = {1,2,3,4,5,6,7,8,9,10,11,12}; main() { int a, b, c = 999; clrscr(); for(a=0;a<r;++a) for(b=0;b<c;++b if(z[a][b]<c) c=z[a][b]; printf(“%d”,c); getch(); return 1; )Use Sage to program Exercise 5.In 1202 AD, Leonardo Pisano asked the following famous problem:A certain man had a pair of rabbits together in a certain enclosedplace, and one wishes to know how many are created from the pair inone year when it is the nature for of them in a single month to bearanother pair, and in the second month those born bear also. Becausethe abovewritten pair in the first month bore, you will double it. therewill be two pairs in one month. One of these, namely the first, bears inthe second month, and thus there are in the second month three pairs;of these in one month two are pregnant, and in the third month 2pairs of rabbits are born, and thus there are 5 pairs in the month;...Explain how the rabbits reproduce. Create a list F where F[x] is the number ofrabbits in month x. (so F[0]=1, F[1]=2) Find F[12]. Find F[100].
- Determine how many addition assignment statements are done in the worst case scenario of the following code. Then determine how many multiplication assignment statements are done in the worst case scenario. Assume that all variables are properly declared. y = 1; for (i=1; i<=n;i++) { for (j = 1; j<=n;j++) { x = i + j; x = x * y; } x = y + x; }4. ~(~C ≡ ~A) ѵ [(B ѵ C) • X] a) Replace each statement with the given assigned truth-values and rewrite the problem with the assigned truth-values ~(~t ≡ ~t) ѵ [(t ѵ t) • f] b) Using the truth-table, solve for the truth-value of the compound statementRequired: Amitabh had a magical cat. That cat once fell down an empty well. As the walls of the well were not completely vertical, the cat could climb up the well. In one day, the cat can climb 1 unit height and the height of the well is h units. The cat starts at the bottom. Every day, a cat would divide into 2 cats. One of them would climb up 1 unit. The other would wait for help. But while waiting it would fall asleep and roll down 1 unit, unless it is already at the bottom, in which case it just remains there. When a cat would reach the top, it would run home toAmitabh. (Schrodinger doesn't know that some of the cats are in a well and so he can't rescue them). It has been d days since the cat fell into the well. How many cats would come out of the well today? You would notice that the number of cats grows very large with each passing day, so output the answer modulo 10^9+7. d = 0 means that the cat has fallen just now and so there's just one cat at the bottom of the well. So you…
- 1. A set of integers are relatively prime to each other if there is no integer greater than 1 that divides all the elements. Furthermore, in Number Theory, it is known that the Euler function,ϕ (n), expresses the number of positive integers less than n that are relatively prime with n. Choose the alternative that has the correct value of ϕ(n) for every n below. A) ϕ(5) = 4 B) ϕ(6) = 2 C) ϕ(10) = 3 D) ϕ(14) = 6 E) ϕ(17) = 16Write true (T) or false (F) for each of the following: 1. The practical reason for using algorithms is the need for efficient algorithms to solve most practical problems. [ ] 2. A Class is a data type and Object is an instance of a class. [ ] 3. In class inheritance, a subclass inherits only the non-private members of the superclass. [ ] 4. Adding a derived class to a base class requires fundamental changes to the base class. [ ] 5. In object-oriented programming, an object can be a subclass of another object. [ ] 6. A constructor is a function that is automatically called when an object is created. [ ] 7. A function in a child class can override another function in the parent class with the same signature. [ ] 8. Solving recurrence equations using substitution method is powerful but not systematic. [ ] 9. The time complexity is a measure of the amount of memory needed for an algorithm to execute. [ ] 10. By using Master method, if ?(?)=9?(?3)+?, then ?(?) will be equal to ?(?3).#include <stdio.h>#include <conio.h> #define r 3#define c 4 int z[r][c] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12};int main (){ int a, b, d = 999; for (a = 0; a < r; ++a){ for (b = 0; b < d; ++b){ if(z[a][b])<d){ d = z[a][b]; printf("%d", d);} getch (0);}} return 1;} Using c language, produce the output.
- How to write python code use import numpy as np use def question ) u = [4,8,16] v = [3, 14, -11] w = [18, 12, 55] if w is in the plane spanned by u and v, print("True") if w is not in the plane spanned by u and v, print("False")Problem 1 A. Consider the following recursive method. def foo1(n): if n == 2: return 1 else: return 3 * foo1(n – 1) What value is returned as a result of the call foo1(5)? Show the recursive calls generated. B. Consider the following recursive method. def foo2(n): if n > 0: print(n, end=’ ‘) foo2(n-1) What is the output of the call foo2(5) Problem 2 Make sure your code is readable and well-documented. Each function must also begin with a title block that describes the task of the function, input parameters and return value. Write a recursive function that takes a string as an input and returns the reverse of the string. 2. Write a recursive function rec_string that produces the output shown below for the corresponding function calls. Write a main function to test the function. Method call rec_string(‘abcde’), will produce the following output: * e de cde bcde abcde Method call rec_string(‘abc’), will…4) Answer the question in C++ A) What is wrong with the following code segment? enum CarType {GM, FORD, BMW}; int main() { CartType = BMW; return 0; } B) Assume that the addresses of x and y is 0x61feb8 and 0x61feb0, respectively. What will be the values of x, y, p, and q, respectively, when the following code runs successfully? int main() { int x; double y; int* p = &x; double* q = &y; *p = 3; *q = 3.14; increaseByOne(p, q); cout << x << " " << y << endl; cout << p << " " << q << endl; return 0; }void increaseByOne(int*& p1, double* q1){ (*p1)++; (*q1)++; p1++; q1++;} The four value: