Python Articles

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Python Program for Find minimum sum of factors of number

Pavitra
Pavitra
Updated on 11-Mar-2026 737 Views

In this article, we will learn about the solution to the problem statement given below −Problem statementGiven a number input , find the minimum sum of factors of the given number.Here we will compute all the factors and their corresponding sum and then find the minimum among them.So to find the minimum sum of the product of number, we find the sum of prime factors of the product.Here is the iterative implementation for the problem −Example#iterative approach def findMinSum(num):    sum_ = 0    # Find factors of number and add to the sum    i = 2    while(i * i

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Python Program for Find reminder of array multiplication divided by n

Pavitra
Pavitra
Updated on 11-Mar-2026 816 Views

In this article, we will learn about the solution to the problem statement given below −Problem statementGiven multiple numbers and a number input n, we need to print the remainder after multiplying all the number divisible by n.ApproachFirst, compute the remainder like arr[i] % n. Then multiply this remainder with the current result.After multiplication, again take the same remainder to avoid overflow. This is in accordance with distributive properties of modular arithmetic.( a * b) % c = ( ( a % c ) * ( b % c ) ) % cExampledef findremainder(arr, lens, n):    mul = 1 ...

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Python Program for Find sum of odd factors of a number

Pavitra
Pavitra
Updated on 11-Mar-2026 730 Views

In this article, we will learn about the solution to the problem statement given below −Problem statementGiven a number input n, the task is to Find the sum of odd factors of a number.Here we first need to eliminate all the even factors.To remove all even factors, we repeatedly divide n till it is divisible by 2. After this step, we only get the odd factors of the number.Below is the implementation −Exampleimport math def sumofoddFactors( n ):    #prime factors    res = 1    # ignore even factors    while n % 2 == 0:       ...

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Python Program for Find sum of Series with the n-th term as n^2 – (n-1)^2

Pavitra
Pavitra
Updated on 11-Mar-2026 367 Views

In this article, we will learn about the solution to the problem statement given below:Problem statementWe are given an integer input n and we need to sum of all n terms where the n-th term in a series as expressed below −Tn = n2 - (n-1)2We have direct formulas for computing the sum which includes the squared muktiolicaion of n which involves more time complexity . To reduce that we usr modular multiplication approach hereNow let's see the implementation −Example# Python program to find sum of given # series. mod = 1000000007 def findSum(n):    return ((n % mod) * ...

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Finding the vertex, focus and directrix of a parabola in Python Program

Pavitra
Pavitra
Updated on 11-Mar-2026 224 Views

In this article, we will learn about the solution to the problem statement given below −Problem statementThe standard form of a parabola equation is y=ax^2+bx+c. Input the values of a, b and c, our task is to find the coordinates of the vertex, focus and the equation of the directrix.The vertex of a parabola is the coordinate from which it takes the sharpest turn whereas y=a is the straight-line used to generate the curve.A directrix a fixed line used in describing a curve or surface.Now let’s see the implementation −Exampledef findparabola(a, b, c):    print ("Vertex: (" , (-b / ...

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Linear Search in Python Program

Pavitra
Pavitra
Updated on 11-Mar-2026 15K+ Views

In this article, we will learn about the Linear Search and its implementation in Python 3.x. Or earlier.AlgorithmStart from the leftmost element of given arr[] and one by one compare element x with each element of arr[]If x matches with any of the element, return the index value.If x doesn’t match with any of elements in arr[] , return -1 or element not found.Now let’s see the visual representation of the given approach −Exampledef linearsearch(arr, x):    for i in range(len(arr)):       if arr[i] == x:          return i    return -1 arr = ['t', ...

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Python Program for Smallest K digit number divisible by X

Pavitra
Pavitra
Updated on 11-Mar-2026 523 Views

In this article, we will learn about the solution and approach to solve the given problem statement.Problem statementIntegers n and d are given. We need to find the smallest n-digit number divisible by d.Approach1. FirstNow let's we compute MIN : smallest n-digit number (1000...n-times)2. Now, If MIN % X is 0, ans = MIN3. else, ans = (MIN + X) - ((MIN + X) % X))This is because there will be a number in range [MIN...MIN+X] which is divisible by d.Now let’s see the implementation −Exampledef answer(n, d):    # Computing MAX    Min = pow(10, d-1)    if(Min%n == ...

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Python Program for Sum of squares of first n natural numbers

Pavitra
Pavitra
Updated on 11-Mar-2026 956 Views

In this article, we will learn about the solution and approach to solve the given problem statement.Problem statementGiven a positive integer N as input . We need to compute the value of 12 + 22 + 32 + ….. + N2.Problem statement:This can be solved by two methodsMultiplication addition arithmeticUsing mathematical formulaApproach 1: Multiplication & Addition ArithmeticHere we run a loop from 1 to n and for each i, 1

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Python Program to Check Armstrong Number

Pavitra
Pavitra
Updated on 11-Mar-2026 2K+ Views

In this article, we will learn about the solution and approach to solve the given problem statement.Problem statementGiven an integer n , we need to check that the given integer is an armstrong number.A positive integer is called an Armstrong number of order n ifabcd... = a^n + b^n + c^n + d^n + …Here we will be discussing the brute-force approach for an armstrong number of 3 digits and hence of order three.To check the armstrong number of order n we need to replace 3 by the corresponding order value in line number 7.Now let’s see the implementation −Examplenum ...

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Python program to check if a string contains all unique characters

Pavitra
Pavitra
Updated on 11-Mar-2026 794 Views

In this article, we will learn about the solution and approach to solve the given problem statement.Problem statementGiven a sring input, we need to find whether a string contains all unique characters or not.ApproachWe will create an array of boolean values, where the variable flag at the index i indicates that whether character i in the alphabet is contained in the string or not.The second time we encounter this character we can immediately return false as string characters is no longer unique.We can also return false if the string length exceeds the value of number of unique characters presnt in ...

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