Question 1
A positive natural number, (for e.g. 27), can be represented as follows –
2+3+4+5+6+7
8+9+10
13+14
where every row represents a combination of consecutive natural numbers, which add up to 27.
Write a program which inputs a positive natural number N and prints the possible consecutive number combinations, which when added give N.
Test your program for the following data and some random data.
SAMPLE DATA
INPUT:
N = 9
OUTPUT:
4 + 5
2 + 3+ 4
INPUT:
N = 15
OUTPUT:
7 +8
1 +2+ 3+ 4+ 5
4 +5+ 6
INPUT:
N = 21
OUTPUT:
10+ 11
1+ 2+ 3+ 4+ 5+ 6
6+ 7+ 8
import java.util.Scanner;
class ConsecutiveSum
{
public static void main(String args[])
{
Scanner sc = new Scanner(System.in);
System.out.println("Enter a number");
int n=sc.nextInt();
for(int i=1; i<=n/2; i++)
{
int sum=i;
String s=""+i;
int x=i+1;
do{
sum+=x;
s=s+" + "+x;
x++;
}while(sum<n);
if(sum==n)
System.out.println(s);
}
}
}