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In a C program, print numbers containing only the digits 0 and 1 so that their sum is N

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2023-09-09 12:49:02879browse

In a C program, print numbers containing only the digits 0 and 1 so that their sum is N

Given an integer n, the task is to print numbers consisting only of 0 and 1, and their sum is equal to the integer n.

The numbers containing only 0 and 1 are 1, 10, 11 so we must print all the numbers that can be added to equal n.

Like, we enter n = 31 then the answer can be 10 10 11 or 10 10 10 1

Example

Input: 31
Output:10 10 10 1

Algorithm

int findNumbers(int n)
START
STEP 1: DECLARE AND ASSIGN VARAIBALES m = n % 10, a = n
STEP 2: LOOP WHILE a>0
   IF a/10 > 0 && a > 20 THEN,
      SUBTARCT 10 FROM a AND STORE BACK IT IN a
      PRINT "10 "
   ELSE IF a-11 == 0 THEN,
      SUBTRACT 11 FROM a AND STORE
      BACK IN a
      PRINT "11 "
   ELSE
      PRINT "1 "
      DECREMENT a BY 1
   END IF
END LOOP
STOP

Example

#include <stdio.h>
// Function to count the numbers
int findNumbers(int n){
   int m = n % 10, a = n;
   while(a>0){
      if( a/10 > 0 && a > 20 ){
         a = a-10;
         printf("10 ");
      }
      else if(a-11 == 0 ){
         a = a-11;
         printf("11 ");
      }
      else{
         printf("1 ");
         a--;
      }
   }
}
// Driver code
int main(){
   int N = 35;
   findNumbers(N);
   return 0;
}

Output

If we run the above program, it will generate the following output:

10 10 1 1 1 1 11

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