Question

One can find out date of the month when someone was born by asking five questions. Each question asks whether the day is in one of the five sets of numbers below

1 3 5 7          2 3   6   7             4 5   6 7             8 9 10 11           16 17 18 19

9 11 13 15                  10 11 14 15          12 13 14 15          12 13 14 15          20 21 22 23

17 19 21 23                18 19 22 23          20 21 22 23          24 25 26 27          24 25 26 27

25 27 29 31                26 27 30 31          28 29 30 31          28 29 30 31          28 29 30 31

   Set1                              Set 2                      Set 3                    Set 4                    Set 5         

The birthday is the sum of the first numbers in the set where the day appears. For example, if the birthday is 19, it appears in Set 1, Set 2, and Set 5.

The first numbers in these three sets are 1, 2, and 16 whose sum is 19.

Write a C++ program using arrays that prompts the user to answer whether the day is in Sets 1‐5. If the number is in the particular set, the program adds the first number in the sets to calculate the day of the month. An array must be used in the problem. Refer to the sample output below.

Sample Run:

Is your birthday in Set 1?

1 3    5    7

9   11 13 15

17 19 21 23

25 27 29 31

Enter 0 for No and 1 for Yes: 1

Is your birthday in Set 2?

2 3 6 7

10 11 14 15

18 19 22 23

26 27 30 31

Enter 0 for No and 1 for Yes: 1

Is your birthday in Set 3?

4 5   6   7

12 13 14 15

20 21 22 23

28 29 30 31

Enter 0 for No and 1 for Yes: 1

Is your birthday in Set 4?

8 9 10 11

12 13 14 15

24 25 26 27

28 29 30 31

Enter 0 for No and 1 for Yes: 0

Is your birthday in Set 5?

16 17 18 19

20 21 22 23

24 25 26 27

28 29 30 31

Enter 0 for No and 1 for Yes: 0

Your birthday is on day: 7

Answer 1

//C++ program using arrays

#include<iostream>
using namespace std;
const int n = 4;   // n is the dimension of all 2D array
int sum = 0;
// function for printing all set values
void print_set(int arr[n][n]){
   int i,j;
   // static variable is used counting set number
   static int x = 1;
   cout<<"Is your birthday in Set"<<x++<<"?"<<endl;
   // printing set values of sets
   for(i=0;i<n;i++){
       for(j=0;j<n;j++) cout<<arr[i][j]<<" ";
       cout<<endl;
   }
   int no;
   cout<<"Enter 0 for No and 1 for Yes: ";
   cin>>no;
   // if Birthday is present in the set then adds the first number sets to calculate the day of the month
   if(no==1) sum = sum+arr[0][0];
   cout<<endl;
}
int main(){
  
   int set1[n][n] = {{1,3,5,7},{9,11,13,15},{17,19,21,23},{25,27,29,31}};   // set1
   int set2[n][n] = {{2,3,6,7},{10,11,14,15},{18,19,22,23},{26,27,30,31}};   // set2
   int set3[n][n] = {{4,5,6,7},{12,13,14,15},{20,21,22,23},{28,29,30,31}}; // set3
   int set4[n][n] = {{8,9,10,11},{12,13,14,15},{24,25,26,27},{28,29,30,31}}; // set4
   int set5[n][n] = {{16,17,18,19},{20,21,22,23},{24,25,26,27},{28,29,30,31}}; // set5
   print_set(set1);   // calling print_set() function for set1
   print_set(set2);       // calling print_set() function for set2
   print_set(set3);       // calling print_set() function for set3
   print_set(set4);       // calling print_set() function for set4
   print_set(set5);   // calling print_set() function for set5
   cout<<"Your birthday is on day: "<<sum<<endl;  
   return 0;
}