Introduction To Programming in C | NPTEL | Week 5 Assignment Solutions

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Introduction To Programming in C NPTEL 2022 Week 5 Assignment Solutions

Week 5: Question 1

The Collatz function is defined for a positive integer n as follows.
f(n) = 3n+1 if n is odd
      n/2     if n is even
We consider the repeated application of the Collatz function starting with a given integer n, as follows:
f(n), f(f(n)), f(f(f(n))), …

#include<stdio.h>

int f(int n) {
  if(n==1)
    return 0;
  else if(n==2)
    return 1;
  else if((n>2) && (n%2==0))
    return f(n/2)+1;
  else
    return f((3*n)+1)+1;
}

int main() {
  int n;
  scanf("%d", &n);
  printf("%d", f(n));
  return 0;
}

Week 5: Question 2

Consider a matrix M of integers. Divide M into 4 sub-matrices. These sub-matrices are called as Quadrants. Report the Quadrant number which has the smallest minimum-element. If two or more quadrants have same smallest minimum, report the smallest quadrant index.
The matrix M is divided into four quadrants by halving the rows and columns. If row/column is an odd number, divide them in such a way that the first half of the row/column should be one smaller than the second half.

The four quadrants are numbered from 1 to 4 in the structure shown below: Q1 | Q2
—+—
 Q3 | Q4

#include<stdio.h>

int main() {
  int m, n, min, q;
  int a[15][15];
  scanf("%d%d", &m, &n);
  
  for(int i=0; i<m; i++){
    for(int j=0; j<n; j++)
      scanf("%d", &a[i][j]);
  }
  min = a[0][0];
  q = 1;
  for(int i=0; i<m; i++){
    for(int j=0; j<n; j++){
      if(min > a[i][j]){
        min = a[i][j];
        if(i < m/2) {
          if(j < n/2)
            q=1;
          else
            q=2;
        }
        else {
          if(j < n/2)
            q = 3;
          else
            q = 4;
        }
      }
    }
  }
  printf("%d", q);
  return 0;
}

Week 5: Question 3

Write a recursive program that inputs a line of characters from the user. The line may contain blanks. It outputs the line with the characters reversed. The input ends with EOF (end of file). 
NOTE: You have to use recursion to solve this, and are NOT allowed to use array to store the input!! 

Example: 
INPUT 
This is easy 

OUTPUT 
ysae si sihT

#include<stdio.h>

void reverse() {
  char ch;
  ch = getchar();
  
  if(ch == EOF)
    return;
  reverse();
  putchar(ch);
}

int main(){
  reverse();
  printf("\n");
  return 0;
}

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