A positive
natural number,(for e.g. 27 can represent as follows:- 2+3+4+5+6+7=27 or
8+9+10=27 or 13+14=27). Where every row represents a combination of consecutive
natural number which add up to 27.
Write a
program which inputs a positive natural number N and print the possible
consecutive number combination which when added give N.
ALGORITHM
STEP 1:- Start.
STEP 2:- Declare consecutive as a class. Now
declare N, sum, k, i, j as variables of type int. Initialize sumß0.
STEP 3:- Declare consecu() as a method with
return type void.
STEP 4:- Now input a positive natural number
from user and store it into N.
STEP 5:- The outer loop ‘i’ store from 1
this loop is generates the starting number of consecutive number combination
series up to N/2+1 up to N/2+1 and incremented by 1 in each iteration
STEP 6:- Initialize sumß0. First inner loop checks if the
number combination is possible with that starting number. If a series is found,
which is checked just outside the first loop. First inner loop, initialized by
‘i’ and iterate up to N/2+1 and incremented by 1 in each step.
STEP 7:- Now sum of the series
consecutively, sumßsum+j, also checked the sum value is equal with
original number or not, if yes then break.
STEP 8:- Now check j<=N/2+1 or not. If
yes the second inner loop will perform. Second inner loop ‘k’ assigned by ‘i’
and iterate up to ‘j’ and incremented 1 in each step.
STEP 9:- Second inner loop prints the
consecutive number combination by using ‘k’.
STEP
10:- Now close
outer loop method consecu. Now main() and create object ob of class
consecutive. Now call the method consecu through object ob within main().
STEP
11:- Now close the
main() and class consecutive.
STEP
12:- Stop.
SOURCE CODE
import
java.util.*;
class
consecutive{
int N,i,j,k,sum=0,c=0;
Scanner sc=new Scanner(System.in);
void consecu(){
System.out.println("ENTER THE
NUMBER:");
N=sc.nextInt();
for(i=1;i<(N/2)+1;i++){
sum=0;
for(j=i;j<=(N/2)+1;j++){
sum=sum+j;
if(sum==N)
break;}
if(j<=N/2+1){
for(k=i;k<=j;k++)
System.out.print(" +
"+k);
System.out.println();
c++;}}
System.out.println("FREQUENCY:"+c);}
public static void main(){
consecutive ob= new consecutive();
ob.consecu();}}
VARIABLE DESCRIPTION
|
S.L.No.
|
Name
|
Data Type
|
Description
|
|
1
|
N
|
Int
|
Use to accept positive number from user.
|
|
2
|
i,j,k
|
int
|
Used as a loop variable.
|
|
3
|
sum
|
int
|
Used to store the sum of the consecutive positive number.
|
INPUT AND
OUTPUT
