Please write $3$ Java programs Here is the description for each of the three:

$1.$ For Loop: Sum of Even Numbers

Problem: Write a Java program that calculates the sum of all even numbers between $1$ and $100.$ Use a for loop to iterate through the numbers and accumulate the sum of the even ones.

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$2.$ While Loop: Factorial Calculation

Problem: Write a Java program that calculates the factorial of a given number. The number is provided by the user as input. Use a while loop to multiply the numbers from the given number down to $1.$

The factorial of $4$ is $4*3*2*1.$ So if the user provided $4$ as the input, your program should print:

Factorial of $4$ is $24.$

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$3.$ Do$-$While Loop: Number Guessing Game

Problem: Write a simple number guessing game where the user has to guess a number between $1$ and $10.$ The program keeps asking for guesses until the user guesses the correct number. Each time the user makes an incorrect guess, the program gives a hint to the user about whether the number they guessed was lower or higher than the correct number. Use a do$-$while loop to ensure the user is prompted at least once.

You can create a variable in your program with the number the user is supposed to guess.$$

For example:

int correctNumber $=7$; $//$ The correct number to guess

a sample output of your program could look like this:

Guess the number $($between $1$ and $10)$: $3$

Too low, try again.

Guess the number $($between $1$ and $10)$: $7$

Correct! You guessed the number.