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Welcome to the Dynamic Programming MCQs Page

Dive deep into the fascinating world of Dynamic Programming with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Dynamic Programming, a crucial aspect of Data Structures and Algorithms. In this section, you will encounter a diverse range of MCQs that cover various aspects of Dynamic Programming, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Data Structures and Algorithms.

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Check out the MCQs below to embark on an enriching journey through Dynamic Programming. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Data Structures and Algorithms.

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Dynamic Programming MCQs | Page 14 of 22

Q131.
What is the edit distance between the strings “abcd” and “acbd” when the allowed operations are insertion, deletion and substitution?

a.

1

b.

2

c.

3

d.

4

Discuss
Answer: (b).2
Q132.
For which of the following pairs of strings is the edit distance maximum?
Discuss
Answer: (d).wednesday & thursday
Q133.
Consider the following implementation of the Wagner–Fischer algorithm:
Which of the following lines should be inserted to complete the below code?
int get_min(int a, int b)
{
     if(a < b)
        return a;
     return b;
}
int edit_distance(char *s1, char *s2)
{
     int len1,len2,i,j,min;
     len1 = strlen(s1);
     len2 = strlen(s2);
     int arr[len1 + 1][len2 + 1];
     for(i = 0;i <= len1; i++)
       arr[i][0] = i;
     for(i = 0; i <= len2; i++)
       arr[0][i] = i;
     for(i = 1; i <= len1; i++)
     {
         for(j = 1; j <= len2; j++)
         {
              min = get_min(arr[i-1][j],arr[i][j-1]) + 1;
              if(s1[i - 1] == s2[j - 1])
              {
                  if(arr[i-1][j-1] < min)
                      ____________;
              }
              else
              {
                  if(arr[i-1][j-1] + 1 < min)
                      min = arr[i-1][j-1] + 1;
              }
              arr[i][j] = min;
         }
     }
     return arr[len1][len2];
}
Which of the following 
Discuss
Answer: (c).min = arr[i-1][j-1].
Q134.
What is the time complexity of the Wagner–Fischer algorithm where “m” and “n” are the lengths of the two strings?
Discuss
Answer: (c).O(mn)
Q135.
What is the output of the following code?
#include<stdio.h>
#include<string.h>
int get_min(int a, int b)
{
      if(a < b)
        return a;
      return b;
}
int edit_distance(char *s1, char *s2)
{
      int len1,len2,i,j,min;
      len1 = strlen(s1);
      len2 = strlen(s2);
      int arr[len1 + 1][len2 + 1];
      for(i = 0;i <= len1; i++)
         arr[i][0] = i;
      for(i = 0; i <= len2; i++)
         arr[0][i] = i;
      for(i = 1; i <= len1; i++)
      {
          for(j = 1; j <= len2; j++)
          {
               min = get_min(arr[i-1][j],arr[i][j-1]) + 1;
               if(s1[i - 1] == s2[j - 1])
               {
                   if(arr[i-1][j-1] < min)
                      min = arr[i-1][j-1];
               }
               else
               {
                   if(arr[i-1][j-1] + 1 < min)
                     min = arr[i-1][j-1] + 1;
               }
               arr[i][j] = min;
          }
      }
      return arr[len1][len2];
}
int main()
{
      char s1[] = "somestring", s2[] = "anotherthing";
      int ans = edit_distance(s1, s2);
      printf("%d",ans);
      return 0;
}

a.

6

b.

7

c.

8

d.

9

Discuss
Answer: (a).6
Q136.
What is the value stored in arr[3][3] when the below code is executed?
#include<stdio.h>
#include<string.h>
int get_min(int a, int b)
{
      if(a < b)
        return a;
      return b;
}
int edit_distance(char *s1, char *s2)
{
      int len1,len2,i,j,min;
      len1 = strlen(s1);
      len2 = strlen(s2);
      int arr[len1 + 1][len2 + 1];
      for(i = 0;i <= len1; i++)
        arr[i][0] = i;
      for(i = 0; i <= len2; i++)
         arr[0][i] = i;
      for(i = 1; i <= len1; i++)
      {
           for(j = 1; j <= len2; j++)
           {
                min = get_min(arr[i-1][j],arr[i][j-1]) + 1;
                if(s1[i - 1] == s2[j - 1])
                {
                     if(arr[i-1][j-1] < min)
                       min = arr[i-1][j-1];
                }
                else
                {
                    if(arr[i-1][j-1] + 1 < min)
                     min = arr[i-1][j-1] + 1;
                }
                arr[i][j] = min;
          }
     }
     return arr[len1][len2];
}
int main()
{
      char s1[] = "somestring", s2[] = "anotherthing";
      int ans = edit_distance(s1, s2);
      printf("%d",ans);
      return 0;
}

a.

1

b.

2

c.

3

d.

4

Discuss
Answer: (c).3
Q137.
What is the output of the following code?
#include<stdio.h>
#include<string.h>
int get_min(int a, int b)
{
     if(a < b)
         return a;
     return b;
}
int edit_distance(char *s1, char *s2)
{
     int len1,len2,i,j,min;
     len1 = strlen(s1);
     len2 = strlen(s2);
     int arr[len1 + 1][len2 + 1];
     for(i = 0;i <= len1; i++)
       arr[i][0] = i;
     for(i = 0; i <= len2; i++)
       arr[0][i] = i;
     for(i = 1; i <= len1; i++)
     {
         for(j = 1; j <= len2; j++)
         {
              min = get_min(arr[i-1][j],arr[i][j-1]) + 1;
              if(s1[i - 1] == s2[j - 1])
              {
                  if(arr[i-1][j-1] < min)
                     min = arr[i-1][j-1];
              }
              else
              {
                  if(arr[i-1][j-1] + 1 < min)
                      min = arr[i-1][j-1] + 1;
              }
              arr[i][j] = min;
         }
     }
     return arr[len1][len2];
}
int main()
{
     char s1[] = "abcd", s2[] = "dcba";
     int ans = edit_distance(s1, s2);
     printf("%d",ans);
     return 0;
}

a.

1

b.

2

c.

3

d.

4

Discuss
Answer: (d).4
Q138.
Which of the following is NOT a Catalan number?
Discuss
Answer: (d).43
Q139.
Which of the following numbers is the 6th Catalan number?
Discuss
Answer: (d).None of the mentioned
Discuss
Answer: (d).All of the mentioned

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