ICSE JAVA PROGRAMS 2019: SECTION B QUESTION 9 SOLVED

 

ICSE JAVA PROGRAMS 2019: SECTION B QUESTION 9

Programming for school students ( upper to middle/secondary school)

A tech number has even number of digits. If the number is split in two equal halves, then the square of the sum of these halves is equal to the number itself. Write a program to generate and print all four digits tech numbers.

JAVA CODE

public class ISCJava{

       public static void main(String[] args) {

       final int j = 2;

       int counter;

       int lastTwoDigit;

       int firstTwoDigit;

       int temp;

       for( int i = 1000 ; i < 10000 ; i++) { // looping through all 4-digits

              counter = 0;

              lastTwoDigit = 0;

              firstTwoDigit = 0;

              temp = i;

              // extracting the last two digit

              while ( counter < j) {

                     lastTwoDigit += (temp%10)*(int)Math.pow(10,counter);

                     counter++;

                     temp /= 10;

                     }

              // extracting the first two digit

              counter = 0;

              while ( counter < j) {

                     firstTwoDigit += (temp%10)*(int)Math.pow(10,counter);

                     counter++;

                     temp /= 10;

                     }

              if( i ==  (int)Math.pow(firstTwoDigit+lastTwoDigit,2))

                     System.out.println(i+" is a tech number.");

              }

       }

}

PYHTON CODE

#PROGRAM TO PRINT ALL 4 DIGITS TECH NUMBER

j = 2

for i in range(9000): #total number of 4 digits number are 9000

    counter = 0

    lastTwoDigit = 0

    firstTwoDigit = 0

    temp = i+1000

    numb = temp

    #extracting the last two digit

    while counter < j:

        lastTwoDigit += int(temp%10*int((10**counter)))

        temp /= 10

        temp = int(temp)

        counter +=1

    #extracting the last two digit

    counter = 0

    while counter < j:

        firstTwoDigit += int(temp%10*int((10**counter)))

        temp /= 10

        temp = int(temp)

        counter +=1

    #print(firstTwoDigit,"last",lastTwoDigit,numb)

    if numb == int((firstTwoDigit+lastTwoDigit)**2):

        print(numb," is a tech number.")