A Number is a Trimorphic number if the cube of the number ends in the number itself.
Example:
Given Number=5
5⇒5³=125(ends with the number itself)
so, 5 is Trimorphic Number.
Given Number=10
10⇒10³=1000(ends with not number itself)
so, 10 is not a Trimorphic Number.
Problem statement:- Program to Find out all Trimorphic numbers present within a given range(1 to n).
Data requirement:-
Input Data:- range1, range2
Output Data:- i, range1, range2
Additional Data:- num, cube_power, flag
Program in C
Example:
Given Number=5
5⇒5³=125(ends with the number itself)
so, 5 is Trimorphic Number.
Given Number=10
10⇒10³=1000(ends with not number itself)
so, 10 is not a Trimorphic Number.
Problem statement:- Program to Find out all Trimorphic numbers present within a given range(1 to n).
Data requirement:-
Input Data:- range1, range2
Output Data:- i, range1, range2
Additional Data:- num, cube_power, flag
Program in C
Here is the source code of the C Program to Find out all Trimorphic numbers present within a given range.
Code:
//Trimorphic Number in range
#include<stdio.h>
int main()
{
int range1,range2,i;
printf("Enter a range:");
scanf("%d %d",&range1,&range2);
printf("Trimorphic Numbers between %d and %d are: ",range1,range2);
for(i=range1;i<=range2;i++)
{
int flag=0;
int num=i;
int cube_power=num*num*num;
while(num!=0)
{
if(num%10!=cube_power%10)
{
flag=1;
break;
}
num/=10;
cube_power/=10;
}
if(flag==0)
printf("%d ",i);
}
}
#include<stdio.h>
int main()
{
int range1,range2,i;
printf("Enter a range:");
scanf("%d %d",&range1,&range2);
printf("Trimorphic Numbers between %d and %d are: ",range1,range2);
for(i=range1;i<=range2;i++)
{
int flag=0;
int num=i;
int cube_power=num*num*num;
while(num!=0)
{
if(num%10!=cube_power%10)
{
flag=1;
break;
}
num/=10;
cube_power/=10;
}
if(flag==0)
printf("%d ",i);
}
}
Input/Output:
Enter a range:1
50
Trimorphic Numbers between 1 and 50 are: 1 4 5 6 9 24 25 49
Program in C++
Here is the source code of the C++ Program to Find out all Trimorphic numbers present within a given range.
50
Trimorphic Numbers between 1 and 50 are: 1 4 5 6 9 24 25 49
Program in C++
Here is the source code of the C++ Program to Find out all Trimorphic numbers present within a given range.
#include<iostream>
using namespace std;
int main()
{
int range1,range2,i,j,flag=0;
cout<<"Enter a range:";
cin>>range1;
cin>>range2;
cout<<"Trimorphic numbers between "<<range1<<" and "<<range2<<" are: ";
for(i=range1;i<=range2;i++)
{
int flag=0;
int num=i;
int cube_power=num*num*num;
while(num!=0)
{
if(num%10!=cube_power%10)
{
flag=1;
break;
}
num/=10;
cube_power/=10;
}
if(flag==0)
cout<<i<<" ";
}
}
using namespace std;
int main()
{
int range1,range2,i,j,flag=0;
cout<<"Enter a range:";
cin>>range1;
cin>>range2;
cout<<"Trimorphic numbers between "<<range1<<" and "<<range2<<" are: ";
for(i=range1;i<=range2;i++)
{
int flag=0;
int num=i;
int cube_power=num*num*num;
while(num!=0)
{
if(num%10!=cube_power%10)
{
flag=1;
break;
}
num/=10;
cube_power/=10;
}
if(flag==0)
cout<<i<<" ";
}
}
Input/Output:
Enter a range:50
100
Trimorphic numbers between 50 and 100 are: 51 75 76 99
Program in Java
100
Trimorphic numbers between 50 and 100 are: 51 75 76 99
Program in Java
Here is the source code of the Java Program to Find out all Trimorphic numbers present within a given range.
Code:
import java.util.Scanner;
public class TrimorphicNumberInRange {
public static void main(String[] args) {
Scanner cs=new Scanner(System.in);
int range1,range2;
System.out.println("Enter a range:");
range1=cs.nextInt();
range2=cs.nextInt();
System.out.println("Trimorphic numbers between "+range1+" and "+range2+" are: ");
for(int i=range1;i<=range2;i++)
{
int flag=0;
int num=i;
int cube_power=num*num*num;
while(num!=0)
{
if(num%10!=cube_power%10)
{
flag=1;
break;
}
num/=10;
cube_power/=10;
}
if(flag==0)
System.out.print(i+" ");
}
cs.close();
}
}
Input/Output:public class TrimorphicNumberInRange {
public static void main(String[] args) {
Scanner cs=new Scanner(System.in);
int range1,range2;
System.out.println("Enter a range:");
range1=cs.nextInt();
range2=cs.nextInt();
System.out.println("Trimorphic numbers between "+range1+" and "+range2+" are: ");
for(int i=range1;i<=range2;i++)
{
int flag=0;
int num=i;
int cube_power=num*num*num;
while(num!=0)
{
if(num%10!=cube_power%10)
{
flag=1;
break;
}
num/=10;
cube_power/=10;
}
if(flag==0)
System.out.print(i+" ");
}
cs.close();
}
}
Enter a range:
500
700
Trimorphic numbers between 500 and 700 are:
501 624 625
500
700
Trimorphic numbers between 500 and 700 are:
501 624 625
Program in Python
Here is the source code of the Program to Find out all Trimorphic numbers present within a given range.
Code:
print("Enter a range:")
range1=int(input())
range2=int(input())
print("Trimorphic numbers between ",range1," and ",range2," are: ")
for i in range(range1,range2+1):
flag = 0
num=i
cube_power = num * num * num
while num != 0:
if num % 10 != cube_power % 10:
flag = 1
break
num //= 10
cube_power //= 10
if flag == 0:
print(i,end=" ")
range1=int(input())
range2=int(input())
print("Trimorphic numbers between ",range1," and ",range2," are: ")
for i in range(range1,range2+1):
flag = 0
num=i
cube_power = num * num * num
while num != 0:
if num % 10 != cube_power % 10:
flag = 1
break
num //= 10
cube_power //= 10
if flag == 0:
print(i,end=" ")
Input/Output:
Enter a range:
600
1000
Trimorphic numbers between 600 and 1000 are:
624 625 749 751 875 999
More:-
600
1000
Trimorphic numbers between 600 and 1000 are:
624 625 749 751 875 999
More:-
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