Program to find Factorial of a Number

FACTORIAL:

The factorial of a number, is the product of all positive integers less than or equal to n. It's calculated by multiplying all the integers from 1 to n, in order.


PROGRAM:

#include <stdio.h>

int main()

{

    int i,n, fact=1;

    printf("Enter a number: ");

    scanf("%d",&n);

    for (i=1;i<=n;i++)

    fact=fact*i;

    printf("Factorial of %d is %d.",n,fact);

    return 0;

}


 OUTPUT:



TIME COMPLEXITY:

The time complexity is O(n) because the loop iterates from 1 to n, performing n iterations. This means the time taken to execute the program increases linearly with the input size n.


SPACE COMPLEXITY:

The space complexity is O(1) because the program uses a fixed amount of memory to store the variables fact and i, regardless of the input size n. The memory usage doesn't grow with the input size, so it's constant.


Comments

Post a Comment

Popular posts from this blog

Swap two numbers without using third variable

Image
SWAPPING TWO NUMBERS WITHOUT USING A THIRD VARIABLE There are two common ways to swap two numbers without using a third variable: PROGRAM 1 (Using addition and Subtraction): #include <stdio.h> int main() {     int a,b;     printf("enter the value of a: ");     scanf("%d",&a);     printf("enter the value of b: ");     scanf("%d",&b);     printf("Before swapping, a=%d b=%d.",a,b);     a=a+b;     b=a-b;     a=a-b;     printf("\nAfter swapping, a=%d b=%d.",a,b);     return 0; } PROGRAM 2 (Using Bitwise XOR): #include <stdio.h> int main() {     int a,b;     printf("enter the value of a: ");     scanf("%d",&a);     printf("enter the value of b: ");     scanf("%d",&b);     printf("Before swapping, a=%d b=%d.",a,b);     a=a^b;     b=a^b;     a=a^b;     printf("...
Read more

Program to check leap year

Image
LEAP YEAR: A leap year is a year that is divisible by 4, but not by 100, unless it is also divisible by 400. This means that years like 2024, 2020, and 2016 are leap years, but 2100 is not. PROGRAM: include <stdio.h> int  main() {     int year;     printf("Enter the year: ");     scanf("%d",&year);     if((year%4==0 && year%100!=0) || year%400==0)     {     printf("%d is a leap year", year);     }     else     {     printf("%d is not a leap year", year);     }     return 0; } TIME COMPLEXITY: The time complexity of this program is O(1) because the program only performs a fixed number of operations regardless of the input size. The if- else statement and the printf statements are executed once each, making the time complexity O(1). SPACE COMPLEXITY: The space complexity is O(1) because the program only uses a constant amount of memory to stor...
Read more

Check a number is palindrome or not

Image
PALINDROME: A palindrome is a word, phrase, or sequence that reads the same backward as forward.  A number palindrome is a numerical palindrome, where the digits read the same when reversed. For example, 12321 is a palindrome whereas 12345 is not a palindrome. PROGRAM: #include <stdio.h> int main() {     int n,m,rem,rev=0;     printf("Enter any number: ");     scanf("%d",&n);     m=n;     while(n!=0)     {         rem=n%10;         rev=rev*10+rem;         n=n/10;     }     if(rev == m)     printf("%d is a palindrome", m);     else     printf("%d is not a palindrome",m);     return 0; } TIME COMPLEXITY: The time complexity of the program is indeed O(log n) because the number of iterations in the while loop is proportional to the number of digits in the input number 'n'. As the number of digits in...
Read more