Python Math: - Exercises, Practice, Solution
This resource offers a total of 470 Python Math problems for practice. It includes 94 main exercises, each accompanied by solutions, detailed explanations, and four related problems.
[An Editor is available at the bottom of the page to write and execute the scripts.]
1. Degrees to Radians Conversion
Write a Python program to convert degrees to radians.
Note : The radian is the standard unit of angular measure, used in many areas of mathematics. An angle's measurement in radians is numerically equal to the length of a corresponding arc of a unit circle; one radian is just under 57.3 degrees (when the arc length is equal to the radius).
Test Data:
Degree : 15
Expected Result in radians: 0.2619047619047619
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2. Radians to Degrees Conversion
Write a Python program to convert radians to degrees.
Test Data:
Radian : .52
Expected Result : 29.781818181818185
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3. Trapezoid Area Calculation
Write a Python program to calculate the area of a trapezoid.
Note : A trapezoid is a quadrilateral with two sides parallel. The trapezoid is equivalent to the British definition of the trapezium. An isosceles trapezoid is a trapezoid in which the base angles are equal so.
Test Data:
Height : 5
Base, first value : 5
Base, second value : 6
Expected Output: Area is : 27.5
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4. Parallelogram Area Calculation
Write a Python program to calculate the area of a parallelogram.
Note : A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal). A quadrilateral with equal sides is called a rhombus, and a parallelogram whose angles are all right angles is called a rectangle.
Test Data:
Length of base : 5
Height of parallelogram : 6
Expected Output: Area is : 30.0
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5. Cylinder Surface, Volume & Area
Write a Python program to calculate the surface volume and area of a cylinder.
Note: A cylinder is one of the most basic curvilinear geometric shapes, the surface formed by the points at a fixed distance from a given straight line, the axis of the cylinder.
Test Data:
volume : Height (4), Radius(6)
Expected Output:
Volume is : 452.57142857142856
Surface Area is : 377.1428571428571
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6. Sphere Surface, Volume & Area
Write a Python program to calculate the surface volume and area of a sphere.
Note: A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball.
Test Data:
Radius of sphere : .75
Expected Output :
Surface Area is : 7.071428571428571
Volume is : 1.7678571428571428
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7. Arc Length Calculator
Write a Python program to calculate the arc length of an angle.
Note: In a planar geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane.
Test Data:
Diameter of a circle : 8
Angle measure : 45
Expected Output :
Arc Length is : 3.142857142857143
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8. Sector Area Calculator
Write a Python program to calculate the area of the sector.
Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector.
Test Data:
Radius of a circle : 4
Angle measure : 45
Expected Output:
Sector Area: 6.285714285714286
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9. Quadratic Discriminant Calculator
Write a Python program to calculate the discriminant value.
Note: The discriminant is the name given to the expression that appears under the square root (radical) sign in the quadratic formula.
Test Data:
The x value : 4
The y value : 0
The z value : -4
Expected Output:
Two Solutions. Discriminant value is : 64.0
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10. Smallest Multiple and Factors
Write a Python program to find the smallest multiple of the first n numbers. Also, display the factors.
Test Data:
If n = (13)
Expected Output :
[13, 12, 11, 10, 9, 8, 7]
360360
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11. Difference of Squares Sum and Sum of Squares
Write a Python program to calculate the difference between the squared sum of the first n natural numbers and the sum of squared first n natural numbers.(default value of number=2).
Test Data:
If sum_difference(12)
Expected Output :
5434
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12. Sum of Digits of Power
Write a Python program to calculate the sum of all digits of the base to the specified power.
Test Data:
If power_base_sum(2, 100)
Expected Output :
115
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13. Abundant Number Checker
Write a Python program to find out if the given number is abundant.
Note: In number theory, an abundant number or excessive number is a number for which the sum of its proper divisors is greater than the number itself. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16.
Test Data:
If is_abundant(12)
If is_abundant(13)
Expected Output:
True
False
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14. Amicable Numbers Sum
Write a Python program to find out if the given number is abundant.
Note: Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. (A proper divisor of a number is a positive factor of that number other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.)
Test Data:
If amicable_numbers_sum(9999)
If amicable_numbers_sum(999)
If amicable_numbers_sum(99)
Expected Output:
31626
504
0
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15. Sum of Divisors
Write a Python program to return the sum of all divisors of a number.
Test Data:
If number = 8
If number = 12
Expected Output:
7
16
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16. String Permutations (With Duplicates)
Write a Python program to print all permutations of a given string (including duplicates).
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17. Lucky Numbers Generator
Write a Python program to print the first n lucky numbers.
Lucky numbers are defined via a sieve as follows.
Begin with a list of integers starting with 1 :
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, . . . .
Now eliminate every second number :
1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, ...
The second remaining number is 3, so remove every 3rd number:
1, 3, 7, 9, 13, 15, 19, 21, 25, ...
The next remaining number is 7, so remove every 7th number:
1, 3, 7, 9, 13, 15, 21, 25, ...
Next, remove every 9th number and so on.
Finally, the resulting sequence is the lucky numbers.
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18. Babylonian Square Root
Write a Python program to compute square roots using the Babylonian method.
Perhaps the first algorithm used for approximating √S is known as the Babylonian method, named after the Babylonians, or "Hero's method", named after the first-century Greek mathematician Hero of Alexandria who gave the first explicit description of the method. It can be derived from (but predates by 16 centuries) Newton's method. The basic idea is that if x is an overestimate to the square root of a non-negative real number S then S / x will be an underestimate and so the average of these two numbers may reasonably be expected to provide a better approximation.
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19. Multiply Without Operator
Write a Python program to multiply two integers without using the * operator.
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20. Magic Square Calculator
Write a Python program to calculate the magic square.
A magic square is an arrangement of distinct numbers (i.e., each number is used once), usually integers, in a square grid, where the numbers in each row, and in each column, and the numbers in the main and secondary diagonals, all add up to the same number, called the "magic constant." A magic square has the same number of rows as it has columns, and in conventional math notation, "n" stands for the number of rows (and columns) it has. Thus, a magic square always contains n2 numbers, and its size (the number of rows [and columns] it has) is described as being "of order n".
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21. Sieve of Eratosthenes
Write a Python program to print all primes (Sieve_of_Eratosthenes) smaller than or equal to a specified number.
In mathematics, the sieve of Eratosthenes, one of a number of prime number sieves, is a simple, ancient algorithm for finding all prime numbers up to any given limit. It does so by iteratively marking as composite (i.e., not prime) the multiples of each prime, starting with the multiples of 2.
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22. Next Smallest Palindrome
Write a Python program to find the next smallest palindrome of a specified number.
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23. Next and Previous Palindromes
Write a Python program to find the next and previous palindromes of a specified number.
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24. Float to Ratio Converter
Write a Python program to convert a float to ratio.
Expected Output :
21/5
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25. Nth Catalan Number Calculator
Write a Python program for the nth Catalan numbers.
In combinatorial mathematics, the Catalan numbers form a sequence of natural numbers that occur in various counting problems, often involving recursively-defined objects. They are named after the Belgian mathematician Eugène Charles Catalan (1814 –1894).
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26. Thousands Separator Formatter
Write a Python program to display numbers separated by commas as thousands.
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27. Geodesic Distance Calculator
Write a Python program to calculate the distance between two points using latitude and longitude.
Expected Output :
Input coordinates of two points: Starting latitude: 23.5 Ending longitude: 67.5 Starting latitude: 25.3 Ending longitude: 69.5 The distance is 284.73km.
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28. Regular Polygon Area Calculator
Write a Python program to calculate the area of a regular polygon.
Expected Output :
Input number of sides: 4 Input the length of a side: 25 The area of the polygon is: 625.0000000000001
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29. Wind Chill Index Calculator
Write a Python program to calculate the wind chill index.
Expected Output :
Input wind speed in kilometers/hour: 150 Input air temperature in degrees Celsius: 29 The wind chill index is 31
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30. Quadratic Roots Finder
Write a Python program to find the roots of a quadratic function.
Expected Output :
Quadratic function : (a * x^2) + b*x + c a: 25 b: 64 c: 36 There are 2 roots: -0.834579 and -1.725421
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31. Decimal to Binary Converter
Write a Python program to convert a decimal number to a binary number.
Expected Output :
Input a binary number: 101011 The decimal value of the number is 43
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32. Complex Number Parts Printer
Write a Python program to print a complex number and its real and imaginary parts.
Expected Output :
Complex Number: (2+3j) Complex Number - Real part: 2.0 Complex Number - Imaginary part: 3.0
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33. Complex Arithmetic Operations
Write a Python program to add, subtract, multiply, and divide two complex numbers.
Expected Output :
Addition of two complex numbers : (7-4j) Subtraction of two complex numbers : (1+10j) Multiplication of two complex numbers : (33-19j) Division of two complex numbers : (-0.15517241379310348+0.6379310344827587j)
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34. Complex Number Length and Angle
Write a Python program to get the length and the angle of a complex number.
Expected Output :
Length of a complex number: 5.0 Complex number Angle: 1.5707963267948966
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35. Polar to Rectangular Conversion
Write a Python program to convert Polar coordinates to rectangular coordinates.
Expected Output :
Polar Coordinates: (5.0, 0.9272952180016122) Polar to rectangular: (-2+2.4492935982947064e-16j)
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36. Max and Min of Decimals
Write a Python program to find the maximum and minimum numbers from the specified decimal numbers.
Decimal numbers : 2.45, 2.69, 2.45, 3.45, 2.00, 0.04, 7.25
Expected Output :
Maximum: 7.25 Minimum: 0.04
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37. Sum and Sort Decimals
Write a Python program to find the sum of the following decimal numbers and display the numbers in sorted order.
Decimal numbers : 2.45, 2.69, 2.45, 3.45, 2.00, 0.04, 7.25
Expected Output :
Sum: 20.33 Sorted order: [Decimal('0.04'), Decimal('2.00'), Decimal('2.45'), Decimal('2.45' ), Decimal('2.69'), Decimal('3.45'), Decimal('7.25')]
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38. Square Root and Exponential of Decimal
Write a Python program to get the square root and exponential of a given decimal number.
Decimal number : 1.44
Expected Output :
Square root of 1.44 is : 1.2 exponential of 1.44 is : 4.220695816996552825673328929
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39. Decimal Global Context Retriever
Write a Python program to retrieve the current global context (public properties) for all decimal.
Expected Output :
Emax = 999999 Emin = -999999 capitals = 1 prec = 28 rounding = ROUND_HALF_EVEN flags = <class 'decimal.InvalidOperation'>: False ........
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40. Precision-Based Rounding of Decimal
Write a Python program to round a specified decimal by setting precision (between 1 and 4).
Sample Number : 0.26598
Original Number : 0.26598
Precision- 1 : 0.3
Precision- 2 : 0.27
Precision- 3 : 0.266
Precision- 4 : 0.2660
Expected Output :
Original Number : 0.26598 Precision- 1 : 0.3 Precision- 2 : 0.27 Precision- 3 : 0.266 Precision- 4 : 0.2660
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41. Upward and Downward Rounding with Precision
Write a Python program to round a specified number upwards towards infinity and down towards negative infinity with precision 4.
Expected Output :
1/17 = 0.05882352941176470588235294118 Precision: 4 Round upwards towards infinity: 0.05883 Round down towards negative infinity: 0.05882
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42. Local and Default Decimal Precision
Write a Python program to get the local and default precision.
Expected Output :
Local precision: 2 22/7 = 3.1 Default precision: 28 22 /7 = 3.142857142857142857142857143
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43. Fraction from String Representation
Write a Python program to display fraction instances of the string representation of a number.
Sample data : '0.7', '2.5', '9.32', '7e-1'
Expected Output :
0.7 = 7/10 2.5 = 5/2 9.32 = 233/25 7e-1 = 7/10
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44. Fraction from Float Conversion
Write a Python program to create fraction instances of float numbers.
Sample numbers: 0.2, 0.7, 6.5, 6.0
Expected Output :
0.2 = 3602879701896397/18014398509481984 0.7 = 3152519739159347/4503599627370496 6.5 = 13/2 6.0 = 6
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45. Fraction from Decimal Conversion
Write a Python program to create fraction instances of decimal numbers.
Sample decimal.2' number: Decimal('0), Decimal('0.7'), Decimal('2.5'), Decimal('3.0')
Expected Output :
0.2 = 1/5 0.7 = 7/10 2.5 = 5/2 3.0 = 3
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46. Arithmetic on Fractions
Write a Python program to add, subtract, multiply and divide two fractions.
Expected Output :
2/3 + 3/7 = 23/21 2/3 - 3/7 = 5/21 2/3 * 3/7 = 2/7 2/3 / 3/7 = 14/9
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47. Approximate PI as a Fraction
Write a Python program to convert a floating point number (PI) to an approximate rational value on the various denominators.
Note: max_denominator=1000000
Expected Output :
PI = 3.141592653589793 No limit = 3141592653589793/1000000000000000 1 = 3 5 = 16/5 50 = 22/7 90 = 267/85 100 = 311/99 500 = 355/113 1000000 = 3126535/995207
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48. Random Float Generation
Write a Python program to generate random floating numbers in a specific numerical range.
Expected Output :
16.329 17.326 54.024 13.229 68.952 87.039
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49. Random Integer Generation
Write a Python program to generate random integers in a specific numerical range.
Expected Output :
24 12 72 13 56 80
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50. Random Even Integer Generation
Write a Python program to generate random even integers in a specific numerical range.
Expected Output :
44 50 46 62 94 14
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51. Random Character from String
Write a Python program to get a single random element from a specified string.
Expected Output :
h
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52. Shuffle List Elements
Write a Python program to shuffle the following elements randomly.
Sample elements : [1, 2, 3, 4, 5, 6, 7]
Expected Output :
[2, 1, 7, 5, 3, 4, 6]
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53. Coin Flip Simulator
Write a Python program to flip a coin 1000 times and count heads and tails.
Expected Output :
Heads: 5073 Tails: 4927
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54. Random Dictionary Words Sample
Write a Python program to print a random sample of words from the system dictionary.
Expected Output :
cellophane's matter's Whiteley's airdrop's sulkiest whisper's downturns
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55. Random List Item Selector
Write a Python program to randomly select an item from a list.
Expected Output :
Red
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56. Absolute Value Calculator
Write a Python program to calculate the absolute value of a floating point number.
Expected Output :
2.1 0.0 10.1 0.0
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57. Standard Deviation Calculator
Write a Python program to calculate the standard deviation of the following data.
Expected Output :
Sample Data: [4, 2, 5, 8, 6] Standard Deviation : 2.23606797749979
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58. Mantissa and Exponent Printer
Write a Python program to print the floating point of the mantissa, exponent pair.
Expected Output :
Mantissa Exponent Floating point value -------- -------- -------------------- 0.70 -3 0.09 0.30 0 0.30 0.50 3 4.00
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59. Fractional and Integer Splitter
Write a Python program to split the fractional and integer parts of a floating point number.
Expected Output :
(F) (I) 0/2 = 0.0 (0.0, 0.0) 1/2 = 0.5 (0.5, 0.0) 2/2 = 1.0 (0.0, 1.0) 3/2 = 1.5 (0.5, 1.0) 4/2 = 2.0 (0.0, 2.0) 5/2 = 2.5 (0.5, 2.0)
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60. Math Formula Parser
Write a Python program to parse math formulas and put parentheses around multiplication and division.
Sample data : 4+5*7/2
Expected Output :
4+((5*7)/2)
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61. Linear Regression Describer
Write a Python program to describe linear regression.
Note : A linear regression line has an equation of the form Y = a + bX, where X is the explanatory variable and Y is the dependent variable. The slope of the line is b, and a is the intercept (the value of y when x = 0).
Expected Output :
Enter the number of data points: 2 X1: 1 Y1: 2 X2: 3 Y2: 4 Best fit line: y = 1.0x + 1.0 Enter a value to calculate: 12 y = 13.0
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62. Hexagon Grid Generator
Write a Python program to calculate a grid of hexagon coordinates of the given radius given lower-left and upper-right coordinates. The function will return a list of lists containing 6 tuples of x, y point coordinates. These can be used to construct valid regular hexagonal polygons.
Expected Output :
[[(-5.0, -4.196152422706632), (-5.0, -0.7320508075688767), (-2.0, 1.0), (1.0, -0. 7320508075688767), (1.0, -4.196152422706632), (-2.0, -5.928203230275509), (-5.0, -4.196152422706632)], [(1.0, -4.196152422706632), (1.0, -0.7320508075688767), (4. 0, 1.0), (7.0, -0.7320508075688767), (7.0, -4.196152422706632).......
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63. Simple Math Quiz Creator
Write a Python program to create a simple math quiz.
Expected Output :
************************ ** A Simple Math Quiz ** ************************ 1. Addition 2. Subtraction 3. Multiplication 4. Integer Division 5. Exit ------------------------ Enter your choice: 1 Enter your answer 1 + 5 = 6 Correct. ......... Your score is 100.0%. Thank you.
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64. Tetrahedron Volume Calculator
Write a Python program to calculate the volume of a tetrahedron.
Note: In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons) is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces.
Expected Output :
117.85
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65. Euler's Number (e) Approximation
Write a Python program to compute the value of e(2.718281827...) using an infinite series.
Expected Output :
The mathematical constant e 2.7182818282861687 2.718281828459045
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66. ASCII Waveform Generator
Write a Python program to create an ASCII waveform.
Expected Output :
# * # * ....... # *
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67. Dot String Generator
Write a Python program to create a dot string.
Expected Output :
. . . . . . . . . . .
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68. Pythagorean Theorem Calculator
Write a Python program to create a Pythagorean theorem calculator.
Note : In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Expected Output :
Pythagorean theorem calculator! Calculate your triangle sides. Assume the sides are a, b, c and c is the hypotenuse (the side opposite the right angle Which side (a, b, c) do you wish to calculate? side>a Input the length of side b:10 Input the length of side c:20 The length of side a is 17.320508075688775
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69. Round Up to Specified Digits
Write a Python function to round up a number to specified digits.
Expected Output :
Original Number: 123.01247 124 123.1 123.02 123.013
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70. Casino Simulation
Write a Python program for a casino simulation.
Expected Output :
Exp 0 Exp 1 Exp 2 Exp 3 Exp 4 ....... Exp 998 Exp 999 Average max amount earned 10493.144 with standard deviation 50.892644498001886
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71. Reverse a Range
Write a Python program to reverse a range.
Expected Output :
range(9, -1, -2) range(4, 0, -1)
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72. Floating Point Range Creator
Write a Python program to create a range for floating numbers.
Expected Output :
[0.0, 0.1, 0.2, 0.30000000000000004, 0.4, 0.5, 0.6000000000000001, 0.700000000000 0001, 0.8, 0.9, 1.0] 01, 0.7000000000000001, 0.8, 0.9, 1.0]
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73. Spiral Matrix Generator
Write a Python program to generate (given an integer n) a square matrix filled with elements from 1 to n raised to the power of 2 in spiral order.
Expected Output :
[[1, 2, 3], [8, 9, 4], [7, 6, 5]]
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74. Random Date in Current Year
Write a Python program to select a random date in the current year.
Expected Output :
2016-02-08
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75. Hierarchical Clustering Simulation
Write a Python program to calculate clusters using the Hierarchical Clustering method.
Expected Output :
Input number of points.> 2 Input point (eg. 1,1)A> 1,2 Input point (eg. 1,1)B> 3,4 Distance matrix no.1: [0.0, 2.83] [2.83, 0.0] Cluster is : [AB]
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76. Euclidean Algorithm for GCD
Write a Python program to implement the Euclidean Algorithm to compute the greatest common divisor (GCD).
Expected Output :
304 = 2 * 150 + 4 150 = 37 * 4 + 2 4 = 2 * 2 + 0 gcd is 2 ......... 6 = 2 * 3 + 0 gcd is 3
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77. RGB to HSV Converter
Write a Python program to convert RGB color to HSV color.
Expected Output :
(0, 0.0, 100.0) (120.0, 100.0, 84.31372549019608)
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78. Perfect Squares Finder
Write a Python program to find perfect squares between two given numbers.
Expected Output :
[]
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79. Euclidean Distance Calculator
Write a Python program to compute Euclidean distances.
Note: In mathematics, the Euclidean distance or Euclidean metric is the "ordinary" (i.e. straight-line) distance between two points in Euclidean space. With this distance, Euclidean space becomes a metric space. The associated norm is called the Euclidean norm.
Expected Output :
Euclidean distance from x to y: 4.69041575982343
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80. Integer to 2-Byte Hex Converter
Write a Python program to convert an integer to a 2 byte Hex value.
Expected Output :
1 --> 0x01 2 --> 0x02 3 --> 0x03 4 --> 0x04 5 --> 0x05 6 --> 0x06 7 --> 0x07 8 --> 0x08 9 --> 0x09
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81. Distinct Random Numbers Generator
Write a Python program to generate a series of distinct random numbers.
Expected Output :
16
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82. Float to Ratio Converter
Write a Python program to convert a given float value to a ratio.
Expected Output :
21/5
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83. Aliquot Sum Calculator
Write a Python program to calculate the aliquot sum of a given number.
Expected Output :
Input value: 15 ('Aliquot Sum', 9) Input value: 12 ('Aliquot Sum', 16) Input value: -6 Input must be positive Input value: 12.22 Input must be an integer Input value: zz Input must be an integer
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84. Nth Tetrahedral Number Calculator
Write a Python program to get the nth tetrahedral number from a given integer(n) value.
Expected Output :
Original Number: 1 Tetrahedral number: 1.0 Original Number: 2 Tetrahedral number: 4.0 Original Number: 6 Tetrahedral number: 56.0
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85. Sum of Powers Calculator
Write a Python program to get the sum of the powers of all the numbers from start to end (both inclusive).
Expected Output :
650 6084 618507
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86. Hamming Distance Calculator
Write a Python program to calculate the Hamming distance between two given values.
Expected Output :
Hamming distance between 2 and 3 is 1 Hamming distance between 43 and 87 is 5
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87. Number Capper
Write a Python program to cap a number within the inclusive range specified by the given boundary values x and y.
Expected Output :
4 -1 10 10 5 10
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88. Disarium/Unhappy Number Checker
Write a Python program to check whether a given number is a Disarium number or an unhappy number.
Expected Output :
Is 25 is Disarium number? False Is 89 is Disarium number? True Is 75 is Disarium number? False Is 125 is Disarium number? False Is 518 is Disarium number? True
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89. Repdigit Checker
Write a Python program to check if a given number is a repdigit number or not. If the given number is repdigit return true otherwise false.
Sample Data:
(0) -> True
(1) -> True
(-1111) -> False
(9999999) -> True
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90. Harshad Number Checker
Write a Python program to check if a given number is a Harshad number or not. Return True if the number is Harshad otherwise False.
Sample Data:
(666) -> True
(11) -> False
(-144) -> None
(200) -> True
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91. Next Distinct-Digit Number Finder
Write a Python program that accepts an integer number with distinct digits and displays the next number containing only distinct digits.
Sample Data:
12345) -> 12346
(99999) -> 102345
(100) -> 102
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92. Consecutive Digits Difference Checker
Write a Python program that checks whether the absolute difference between two consecutive digits is two or not. Return true otherwise false.
Sample Data:
(666) -> False
(3579) -> True
(2468) -> True
(20420) -> False
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93. Rearrange Digits for Extremes
Write a Python program that takes an integer and rearranges the digits to create two maximum and minimum numbers.
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94. Sum of Prime Numbers in List
Write a Python program to calculate the sum of all prime numbers in a given list of positive integers.
Sample Data:
([1, 3, 4, 7, 9]) -> 10
([]) -> Empty list!
([11, 37, 444]) -> 48
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Python Code Editor:
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