Lab9

lab8(1).py

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+print("Welcome to task 1!")
+import re
+pose_estimation = "[BodyPart:0-(0.55, 0.17) score=0.81 BodyPart:1-(0.49, 0.27) score=0.85 BodyPart:2-(0.41, 0.26) score=0.67 BodyPart:3-(0.33, 0.37) score=0.72 BodyPart:4-(0.36, 0.48) score=0.78 BodyPart:5-(0.58, 0.27) score=0.81 BodyPart:6-(0.65, 0.38) score=0.88 BodyPart:7-(0.62, 0.48) score=0.86 BodyPart:8-(0.43, 0.48) score=0.60 BodyPart:9-(0.43, 0.66) score=0.67 BodyPart:10-(0.53, 0.79) score=0.56 BodyPart:11-(0.53, 0.48) score=0.56 BodyPart:12-(0.59, 0.66) score=0.75 BodyPart:13-(0.49, 0.80) score=0.50 BodyPart:14-(0.54, 0.15) score=0.73 BodyPart:15-(0.56, 0.15) score=0.85 BodyPart:16-(0.48, 0.16) score=0.81 BodyPart:17-(0.83, 0.18) score=0.79]"
+points_pattern = r"\(([\d.]+),\s*([\d.]+)\)"
+points_comp = re.compile(points_pattern)
+points_match = points_comp.findall(pose_estimation)
+points = []
+for i in points_match:
+    points.extend([float(i[0]), float(i[1])])
+print("Points: ", points)
+score_pattern = r"score=([\d.]+)"
+score_comp = re.compile(score_pattern)
+score_match = score_comp.findall(pose_estimation)
+score = []
+for j in score_match:
+    score.append(float(j))
+print("Score:", score)
+
+
+
+# points_pattern = "[\d\.\(\)]+"

lab8(2).py

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+print("Welcome to task 2!")
+import math
+while True:
+ try:
+    a = float(input("Enter coefficent a: "))
+    b = float(input("Enter coefficient b: "))
+    c = float(input("Enter coefficient c: "))
+
+    D = b **2 - 4 * a * c
+    if D == 0:
+     x = -b / (2*a)
+     print("The discriminant: ", D)
+     print("The answer 'x': ", x)
+     break
+    elif D < 0:
+     print("There are no roots roots!")
+     break
+    else:
+     x1 = (-b + math.sqrt(D)) / (2 * a)
+     x2 = (-b - math.sqrt(D)) / (2 * a)
+     print("The discriminant: ", D)
+     print("The first answer 'x1': ", round(x1, 4))
+     print("The second answer 'x2': ", round(x2, 4))
+     break
+ except ZeroDivisionError:
+  print("Error: Division by zero! Coefficient 'a' cannot be zero!")
+  break
+ except ValueError:
+  print("Error: Enter valid numbers for a,b,c")
+
+

lab9.py

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+import numpy as np
+import itertools
+print("Welcome to the task!")
+def random_matrix(dim):
+    """
+    The function generates dim x dim array of integers
+    between 0 and 10.
+    """
+    matrix = np.random.randint(10, size = (dim, dim))
+    return matrix
+
+def permutations(size):
+    """
+    Generates a list of all permutations of indices for a given size.
+    """
+    return list(itertools.permutations(range(size)))
+
+def product(matrix, permutation):
+    """
+    Computes the product of elements in the matrix for the given permutation
+    considering the sign based on the number of inversions in the permutation.
+    """
+    product = 1
+    sign = 1
+    for i in range (len(permutation)):
+        product *= matrix [i][permutation[i]]
+    for i in range (len(permutation)):
+        for j in range(i+1, len(permutation)):
+            if permutation[i] > permutation[j]:
+                sign *= -1
+    return product*sign
+
+def determinant(matrix):
+    """
+    Computes the determinant of the matrix using the permutation rule.
+    """
+    size = len(matrix)
+    perm_list = permutations(size)
+    det = sum(product(matrix, perm) for perm in perm_list )
+    return det
+
+
+try:
+    dim = int(input("Enter any positive number(size): "))
+    if dim <1:
+        print("Enter positive number!")
+    else:
+        matrix = random_matrix(dim)
+        print("Generated matrix:\n", matrix)
+        det = determinant(matrix)
+        print("Determinant is calculated according to the permutatuion rule", det)
+
+        det_np = round(np.linalg.det(matrix))
+        print("Determinant generated by np.linalg.det:", det_np)
+except ValueError:
+    print("Only numbers can be entered")