Homeworks 3.3.1-2

• 1 min read 

### Lesson 3.3.1 - 2 Popcorn hacks and 4 Homework hacks


# python hack 3

n= int(input())

total_sum = 0

for i in range(1, n + 1):
    total_sum += i

print(total_sum)

3

%%js
//Javascript hack 1 

function calculate() {
    let result = (8 * 4) - 5 + (10 / 2);
    return result;
  }
  
  console.log(calculate());
32

<IPython.core.display.Javascript object>

%%js
//Javascript Homework Hack 1 

function gcdLcm(a, b) {
    let gcd = function(x, y) {
        while (y !== 0) {
            let temp = y;
            y = x % y;
            x = temp;
        }
        return x;
    };
    const gcdValue = gcd(a, b);
    
    const lcmValue = (a * b) / gcdValue;  // LCM formula

    return { GCD: gcdValue, LCM: lcmValue };
}
const result = gcdLcm(12, 15);
console.log(result);  // { GCD: 3, LCM: 60 }


<IPython.core.display.Javascript object>

%%js 
//Javascript Homework Hack 2

function primeFactors(n) {
    const factors = [];
    
    while (n % 2 === 0) {
        factors.push(2);
        n /= 2;
    }
    
    for (let i = 3; i <= Math.sqrt(n); i += 2) {
        while (n % i === 0) {
            factors.push(i);
            n /= i;
        }
    }
    if (n > 2) {
        factors.push(n);
    }
    
    return factors;
}

// Example usage
const testNumber = 28;
const result = primeFactors(testNumber);
console.log(result); // Output: [2, 2, 7]

<IPython.core.display.Javascript object>

# Python Homework Hack 1

def calculate_mean_and_median(numbers):
   
    mean = sum(numbers) / len(numbers)

    sorted_numbers = sorted(numbers)
    n = len(sorted_numbers)
    mid = n // 2

    median = (sorted_numbers[mid] if n % 2 != 0 else (sorted_numbers[mid - 1] + sorted_numbers[mid]) / 2)

    print("Mean:", mean)
    print("Median:", median)

numbers = [4, 8, 15, 16, 23, 42]
calculate_mean_and_median(numbers)

Mean: 18.0
Median: 15.5

# Python Homework Hack 2

def collatz_sequence(a):

    sequence = []
    
    while a != 1:

        sequence.append(a)
        
        if a % 2 == 0:
            a = a // 2  
        else:
            a = 3 * a + 1  
            
    sequence.append(1)
    
    return sequence

test_value = 6
output = collatz_sequence(test_value)
print(output)

[6, 3, 10, 5, 16, 8, 4, 2, 1]