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Assignment 3/Question_1.py

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+# Write a function called check-season, it takes a month parameter and returns the season: Autumn, Winter, Spring or Summer.
+
+def check_season(month):
+    month = month.lower()
+    if month in ["march", "april", "may"]:
+        return "Spring"
+    elif month in ["june", "july", "august"]:
+        return "Summer"
+    elif month in ["september", "october", "november"]:
+        return "Autumn"
+    elif month in ["december", "january", "february"]:
+        return "Winter"
+    else:
+        return "Invalid month"
+
+month = input("Enter the name of the month: ")
+season = check_season(month)
+print(f"The {month.capitalize()} month falls under {season} season.")

Assignment 3/Question_10.py

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+"""
+Print a number as a 8 segment display N Lines: 
+ _
+ _|     N=2
+ |_
+ _
+ _|
+ _|     N=3
+
+ |_|
+ |      N=4
+"""
+
+def print_digit(digit):
+    segments = [
+        " _ \n| |\n|_|",  # 0
+        "   \n  |\n  |",  # 1
+        " _ \n |\n| ",    # 2
+        " _ \n _|\n _|",  # 3
+        "   \n|_|\n  |",  # 4
+        " _ \n|_ \n _|",  # 5
+        " _ \n|_ \n|_|",  # 6
+        " _ \n  |\n  |",  # 7
+        " _ \n||\n||",    # 8
+        " _ \n|_|\n _|"   # 9
+    ]
+    return segments[digit]
+
+def print_number_as_segment_display(N):
+    number_str = str(N)
+    lines = ["", "", ""]
+    for digit_char in number_str:
+        digit = int(digit_char)
+        segment_lines = print_digit(digit).split('\n')
+        for i in range(3):
+            lines[i] += segment_lines[i] + " "
+
+    for line in lines:
+        print(line)
+
+N = int(input("Enter the number N: "))
+print_number_as_segment_display(N)

Assignment 3/Question_11.py

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+'''
+Print the pattern upto N lines:
+1 2 
+4 3               N=2
+
+1 2 3
+8 9 4
+7 6 5           N=3
+
+1 2 3 4
+12 13 14 5
+11 16 15 6
+10 9 8 7        N=4
+
+'''
+
+def print_pattern(n):
+    matrix = [[0] * n for _ in range(n)]
+    start= 0
+    end = n
+    num = 1
+
+    while start < end:
+        for i in range(start, end):
+            matrix[start][i] = num
+            num += 1
+        for i in range(start + 1, end):
+            matrix[i][end - 1] = num
+            num += 1
+        for i in range(end - 2, start - 1, -1):
+            matrix[end - 1][i] = num
+            num += 1
+        for i in range(end - 2, start, -1):
+            matrix[i][start] = num
+            num += 1
+        start += 1
+        end -= 1
+
+    for row in matrix:
+        print(" ".join(str(x) for x in row))
+
+n = int(input("Enter the number of terms: "))
+print_pattern(n)

Assignment 3/Question_12.py

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+'''
+Write a python script that displays the following table
+1 1 1 1 1
+2 1 2 4 8
+3 1 3 9 27
+4 1 4 16 64
+5 1 5 25 125
+'''
+
+def print_table(n):
+    for i in range(1,n+1):
+        print(i,end=' ')
+        for j in range(4):
+            print(i**j,end=' ')
+        print()
+
+n = int(input("Enter the number of terms: "))
+print_table(n)

Assignment 3/Question_2.py

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+# Write a function called calculate_slope which return the slope of a linear equation
+
+def calculate_slope(x1, y1, x2, y2):
+    if x1 == x2:
+        return "Undefined"
+    return (y2 - y1) / (x2 - x1)
+
+x1 = float(input("Enter x1: "))
+y1 = float(input("Enter y1: "))
+x2 = float(input("Enter x2: "))
+y2 = float(input("Enter y2: "))
+slope = calculate_slope(x1, y1, x2, y2)
+print(f"The slope of the line between ({x1}, {y1}) and ({x2}, {y2}) is {slope}")

Assignment 3/Question_3.py

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+# Quadratic equation is calculated as follows: ax² + bx + c = 0. Write a function which calculates solution set of a quadratic equation, _solve_quadratic_eqn_.
+
+import math
+
+def solve_quadratic_eqn_(a, b, c):
+    if a == 0:
+        if b == 0:
+            return "No solution" if c != 0 else "Infinite solutions"
+        return [-c / b]
+
+    discriminant = b ** 2 - 4 * a * c
+
+    if discriminant > 0:
+        root1 = (-b + math.sqrt(discriminant)) / (2 * a)
+        root2 = (-b - math.sqrt(discriminant)) / (2 * a)
+        return [root1, root2]
+    elif discriminant == 0:
+        root = -b / (2 * a)
+        return [root]
+    else:
+        real_part = -b / (2 * a)
+        imaginary_part = math.sqrt(-discriminant) / (2 * a)
+        root1 = complex(real_part, imaginary_part)
+        root2 = complex(real_part, -imaginary_part)
+        return [root1, root2]
+
+
+print("Quadratic Equation Solver: ax² + bx + c = 0")
+a = float(input("Enter coefficient a: "))
+b = float(input("Enter coefficient b: "))
+c = float(input("Enter coefficient c: "))
+solutions = solve_quadratic_eqn_(a, b, c)
+if isinstance(solutions, str):
+    print(solutions)
+else:
+    for i, solution in enumerate(solutions, start=1):
+        print(f"Solution {i}: {solution}")
+

Assignment 3/Question_4.py

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+#  Declare a function named print_list. It takes a list as a parameter and it prints out each  element of the list
+
+def print_list(elements):
+    for element in elements:
+        print(element)
+
+list = []
+limit = int(input("Enter the number of elements to be present in the list: "))
+r=0
+while(r<limit):
+    list.append(int(input("Enter element in the list: ")))
+    r+=1
+
+print_list(list)

Assignment 3/Question_5.py

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+# Declare a function named reverse_list. It takes an array as a parameter and it returns the reverse of the array (use loops).
+
+def reverse_list(array):
+    reversed_array = []
+    for i in range(len(array) - 1, -1, -1):
+        reversed_array.append(array[i])
+    return reversed_array
+
+array = [None] * 5
+for i in range(len(array)):
+    array[i] = int(input("Enter element in the array: "))
+reversed_array = reverse_list(array)
+print("Reversed array: ",reversed_array)
+

Assignment 3/Question_6.py

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+# Compute the sum up to n terms in the series 1 - 1/2 + 1/3 - 1/4 + 1/5 -... 1/n where n is a positive integer and input by user.
+
+def compute_sum(r):
+    total_sum = 0.0
+    for i in range(1, r+1):
+        if(i%2 == 0):
+            total_sum -= 1/i
+        else:
+            total_sum += 1/i
+    return total_sum
+
+r = int(input("Enter the range: "))
+
+compute = compute_sum(r)
+print(f"Series upta {r} terms is: {compute}")

Assignment 3/Question_7.py

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+# Write a program to compute sin x for given x. The user should supply x and a positive integer n. We compute the sine of x using the series and the computation should use all terms in the series up through the term involving xn sin x = x - x3/3! + x5/5! - x7/7! + x9/9! ........
+
+def factorial(num):
+    result = 1
+    for i in range(2, num + 1):
+        result *= i
+    return result
+
+def sin_x(x, n):
+    sin_x_value = 0.0
+    for i in range(n):
+        term = ((-1) ** i) * (x ** (2 * i + 1)) / factorial(2 * i + 1)
+        sin_x_value += term
+    return sin_x_value
+
+x = float(input("Enter the value of x in radians: "))
+n = int(input("Enter the number of terms n: "))
+
+sin_x_value = sin_x(x, n)
+print(f"The value of sin ({x}) using {n} terms is: {sin_x_value}")

Assignment 3/Question_8.py

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+# Write a program to compute cosine of x. The user should supply x and a positive integer n. We compute the cosine of x using the series and the computation should use all terms in the series up through the term involving xn cos x = 1 - x2/2! + x4/4! - x6/6! ....
+
+def factorial(num):
+    result = 1
+    for i in range(2, num + 1):
+        result *= i
+    return result
+
+def cos_x(x, n):
+    cos_x_value = 0.0
+    for i in range(n + 1):
+        term = ((-1) ** i) * (x ** (2 * i)) / factorial(2 * i)
+        cos_x_value += term
+    return cos_x_value
+
+x = float(input("Enter the value of x in radians: "))
+n = int(input("Enter the number of terms n: "))
+
+cos_x_value = cos_x(x, n)
+print(f"The value of cos({x}) using {n} terms is: {cos_x_value}")

Assignment 3/Question_9.py

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+'''
+Print the pattern upto N Lines: 
+  .
+ /_\   N=2
+  .
+ / \ 
+/___\   N=3
+   .
+  / \ 
+ /   \ 
+/_____\   N=4
+
+'''
+
+def print_triangle(n):
+    print(" " * n + ".")
+
+    for i in range(1, n):
+        print(" " * (n - i - 1), end="")
+        print(" /" + " " * (2 * i - 1) + "\\")
+    print("/" + "_" * (2 * n - 1) + "\\")
+
+n = int(input("Enter the value of N: "))
+print_triangle(n)