Adam Number in Java

2025年5月6日 | 阅读4分钟

在本节中，我们将学习Adam 数是什么，并创建 Java 程序 来检查给定的数字是否为 Adam 数。Adam 数程序经常在 Java 编码测试和学术中出现。

Adam 数

如果一个数的平方与其反序的平方互为反序，则称该数为Adam 数。让我们通过一个例子来理解。

Adam 数示例

考虑数字 (N) 12，并检查它是否为 Adam 数。

数字 (N) 的平方 = 144

数字 (N) 的反序 = 21

数字 (N) 的反序的平方 = 441

我们观察到 12 的平方与其反序 21 的平方互为反序。因此，12 是一个 Adam 数。

其他 Adam 数包括 0, 1, 2, 3, 11, 12, 13, 21, 22, 31, 101, 102, 103, 111 等。

查找 Adam 数的步骤

读取或初始化一个数字 N。
求出数字的平方。
求出平方的反序。
反转数字 N。
求出反转数字的平方。
如果数字的平方的反序等于反转数字的平方，则该数字为Adam 数，否则不是。

让我们在 Java 程序中实现上述步骤。

Adam 数 Java 程序

AdamNumberExample1.java

import java.util.Scanner;
public class AdamNumberExample
{
//function that finds the reverse of the number
static int reverseDigits(int num)
{
//stores the reverse number    
int rev = 0;
//executes until the condition becomes false
while (num > 0)
{
//finds the last digit of the given number and add it to the variable rev
rev = rev * 10 + num % 10;
num = num / 10;
}
//returns the reverse number
return rev;
}
//function that finds the square of the number
static int square(int num)
{
//returns the square    
return (num * num);
}
//function that checks if the number is Adam or not
static boolean isAdamNumber(int num)
{
// Square first number and square
// reverse digits of second number
int a = square(num);
int b = square(reverseDigits(num));
// If reverse of b equals a then given
// number is Adam number
//if the square of the number is equal to the square of reverse of the number
if (a == reverseDigits(b))
//returns true if the number is an Adam number
return true;
//returns false if the number is not an Adam number
return false;		
}
//driver code
public static void main(String args[])
{
Scanner sc = new Scanner(System.in);
System.out.print("Enter the number: ");
//reads an integer 
int num = sc.nextInt();
if (isAdamNumber(num))
System.out.println(num+ " is an Adam number.");
else
System.out.println(num+ " not an Adam number.");	
}
}

输出 1

Enter the number: 301
301 is an Adam number.

输出 2

Enter the number: 276
276 is not an Adam number.

让我们创建另一个 Java 程序，并在给定范围内查找所有质数 Adam 数。

PrimeAdamExample.java

import java.util.Scanner;
public class PrimeAdamExample
{
//function that finds the reverse of the given number    
public static int reverse(int num) 
{
int rev = 0;
//executes until the condition becomes false
while (num != 0) 
{
//finds the last digit of the given number
int d = num % 10;
//adds the last digit in the variable rev
rev = rev * 10 + d;
//removes the last digit
num = num / 10;
}
//returns the reverse of the given number
return rev;
}
//function check if the number is Adam or not
public static boolean isAdam(int num) 
{
//finds the square of the num    
int sqNum = num * num;
//calling the user-defined function that finds the reverse of the number
int revNum = reverse(num);
//find the square of the reverse number
int sqRevNum = revNum * revNum;
//reverse the square of the number
int rev = reverse(sqNum);
//compares the reverse of the number with the reverse of square of the number
return rev == sqRevNum;
}
//function checks if the number Adam number is prime or not
public static boolean isPrime(int num) 
{
int c = 0;
for (int i = 1; i <= num; i++) 
{
if (num % i == 0) 
{
c++;
}
}
return c == 2;
}
//driver code
public static void main(String args[]) 
{
Scanner in = new Scanner(System.in);
System.out.print("Enter the lower limit: ");
int m = in.nextInt();
System.out.print("Enter the upper limit: ");
int n = in.nextInt();
int count = 0;
if (m >= n) 
{
System.out.println("Enter valid input! the value of m should be greater than or equal to n.");
return;
}
System.out.println("The prime Adam numbers are:");
//prints all the Adam number between given range
for (int i = m; i <= n; i++) 
{
boolean adam = isAdam(i);
if (adam) 
{
boolean prime = isPrime(i);
if (prime) 
{
System.out.print(i + " ");
count++;
}
}
}
if (count == 0) 
{
System.out.print("NIL");
}
System.out.println();
System.out.println("Frequency of Adam number is: " + count);
}
}

输出

Enter the lower limit: 0
Enter the upper limit: 1000
The prime Adam numbers are:
2 3 11 13 31 101 103 113 211 311 
Frequency of Adam number is: 10

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