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Articles on Trending Technologies
Technical articles with clear explanations and examples
Check if N is Strong Prime in Python
A strong prime is a prime number that is greater than the arithmetic mean of its nearest prime neighbors. In other words, if we have a prime number p, and its previous prime is p1 and next prime is p2, then p is strong if p > (p1 + p2) / 2. For example, if we have num = 37, the nearest prime numbers are 31 and 41. The average is (31 + 41) / 2 = 36, and since 37 > 36, it is a strong prime. Algorithm Steps To check if a number is a ...
Read MoreCheck if n is divisible by power of 2 without using arithmetic operators in Python
When we need to check if a number is divisible by a power of 2 without using arithmetic operators, we can use bitwise operations. This approach leverages the binary representation of numbers and bit manipulation. Problem Understanding Given two numbers x and n, we need to check whether x is divisible by 2n without using division, modulo, or other arithmetic operators. For example, if x = 32 and n = 5, we check if 32 is divisible by 25 = 32. Algorithm The key insight is that a number is divisible by 2n if and only ...
Read MoreCheck if N is divisible by a number which is composed of the digits from the set {A, B} in Python
Given a number n and two digits a and b, we need to check if we can form a number using only digits a and b that divides n. This problem can be solved using recursion by generating all possible combinations of numbers formed using the given digits. For example, if n = 115, a = 3, b = 2, then the output will be True because 115 is divisible by 23, which is made of digits 2 and 3. Algorithm Steps To solve this problem, we will follow these steps − ...
Read MoreCheck if N is a Factorial Prime in Python
A factorial prime is a prime number that is either one less than or one more than a factorial of any positive integer. For example, 719 is a factorial prime because 719 = 6! - 1 = 720 - 1, where 6! = 720. In this article, we'll learn how to check if a given number N is a factorial prime in Python. What is a Factorial Prime? A factorial prime has the form n! ± 1, where: n! + 1 (one more than factorial) n! - 1 (one less than factorial) The ...
Read MoreCheck if N can be represented as sum of integers chosen from set {A, B} in Python
Sometimes we need to check if a target number can be represented as a sum of two given integers A and B, where we can use each integer any number of times. This is a classic dynamic programming problem that can be solved using memoization. Problem Understanding Given a target number and two integers A and B, we need to determine if we can express the target as a linear combination of A and B with non-negative coefficients. For example, if target = 26, A = 5, and B = 7, we can achieve this as 26 = ...
Read MoreCheck if moves in a stack or queue are possible or nots in Python
Stack and queue operations follow a specific order where elements must be pushed before they can be popped. Given a binary list where 1 represents a push operation and 0 represents a pop operation, we need to validate if the sequence of operations is possible without attempting to pop from an empty structure. Problem Understanding The key insight is that at any point during the operations, the number of pop operations cannot exceed the number of push operations. If we encounter more pops than pushes, we're trying to remove elements from an empty stack or queue, which is ...
Read MoreCheck if mirror image of a number is same if displayed in seven segment displays in Python
In seven-segment displays, only certain digits look the same when mirrored horizontally. We need to check if a number appears identical to its mirror image when displayed on such a device. The digits that look the same when mirrored in seven-segment displays are 0, 1, and 8. Other digits like 2, 3, 4, 5, 6, 7, 9 don't have symmetric mirror images. Understanding Seven-Segment Mirror Images .segment { fill: #333; stroke: none; } .text { font-family: ...
Read MoreCheck if max occurring character of one string appears same no. of times in other in Python
When working with string analysis, we sometimes need to check if the most frequently occurring character in one string appears the same number of times in another string. This can be useful in text analysis and pattern matching scenarios. Problem Statement Given two strings s and t, we need to find the most frequent character in string s and check whether that character appears the same number of times in string t. For example, if s = "crosssection" and t = "securesystem", the most frequent character in s is 's' (appears 3 times). Since 's' also appears ...
Read MoreCheck if Matrix remains unchanged after row reversals in Python
When working with matrices, sometimes we need to check if a matrix remains unchanged after reversing each row. This means checking if each row is a palindrome − reads the same forwards and backwards. For example, if we have a matrix like: 686 282 333 After reversing each row, we get the same matrix, so the output will be True. Algorithm To solve this problem, we follow these steps: Get the number of rows in the matrix For each row, use two pointers (left and right) Compare elements from ...
Read MoreCheck if matrix can be converted to another matrix by transposing square sub-matrices in Python
Suppose we have two N X M matrices called mat1 and mat2. In an operation, we can transpose any square sub-matrix in mat1. We have to check whether we can get mat2 from mat1 or not by performing the given operation. The key insight is that transposing square sub-matrices preserves the elements along each diagonal. Elements that can be rearranged among themselves through transpositions must have the same sorted order in both matrices. Example Matrices Consider these input matrices ? Matrix 1 (mat1) 567 123 689 Matrix 2 (mat2) 562 173 689 ...
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