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Programming/Project Euler

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[C/C++] Project Euler #47 - Distinct Primes Factors The Project Euler #47 problem can be solved without much difficulty as long as prime factorization is performed correctly.  The difficulty level of this problem is 5%.Project Euler #47 is a problem that involves finding consecutive natural numbers with distinct prime factors. The key aspect of this problem is that four consecutive natural numbers must each have exactly four distinct prime factor..
[C/C++] Project Euler #46 - Goldbach's Other Conjecture This problem only shares a similar form with Goldbach’s famous conjecture but is fundamentally different.Goldbach’s conjecture defied the expectations of many mathematicians at the time and remains unproven to this day. (Much like the case of odd perfect numbers, which were also expected to be easily proven but still lack a proof.)The difficulty level of this problem is 5%, making it relatively ..
[C/C++] Project Euler #45 - Triangular, Pentagonal, and Hexagonal Project Euler problem #45 explores the relationships among specific numerical sequences. This problem involves the concepts of triangular numbers, pentagonal numbers, and hexagonal numbers. A triangular number is defined as the sum of natural numbers and can be expressed using the formula \(T_n = \frac{n(n+1)}{2}\) . A pentagonal number follows a specific pattern of growth among polygonal number..
[C/C++] Project Euler #44 - Pentagon Numbers This problem requires us to generate a special type of number called pentagonal numbers.A pentagonal number represents the number of points arranged in the shape of a pentagon.For convenience, a diagram illustrating this can be included as follows.  The formula for generating pentagonal numbers is given in the problem as follows:\[P_n = \frac{n(3n-1)}{2}\]Since pentagonal numbers increase monoto..
[C/C++] Project Euler #43 - Sub-string Divisibility This problem involves finding pandigital numbers that satisfy a specific property and computing their sum. It is considered a relatively simple problem (difficulty: 5%).Problem DescriptionA 0-9 pandigital number is a 10-digit number that contains each digit from 0 to 9 exactly once. For example, 1406357289 is a 10-digit 0-9 pandigital number. However, instead of simply generating pandigital numb..
[C/C++] Project Euler #42 - Coded Triangle Numbers Project Euler #42 - Coded Triangle NumbersThis problem does not require a complex algorithm.As a result, its difficulty level is only 5%.The alphabetical value of a word is defined as follows:Each letter is assigned a value (A=1, B=2, C=3, …, Z=26), and the word’s alphabetical value is the sum of these values.For example, the word “SKY” has values S=19, K=11, Y=25, so its alphabetical value is 1..
[C/C++] Project Euler #41 - Pandigital Prime This problem has a difficulty rating of 5%. It’s not a particularly difficult problem. Let’s take a look at the problem. A number is called a pandigital number if it contains each digit from 1 to n exactly once. For example, 2143 is a 4-digit pandigital number, and it is also a prime. What is the largest n-digit pandigital prime?Since we are looking for a pandigital number, we need to use each d..
[C/C++] Project Euler #40 - Champernowne's Constant Champernowne’s constant is an irrational number created by concatenating natural numbers in order, such as 0.123456789101112131415…. The problem requires finding the digits at specific positions in this sequence and calculating the product of these digits. For example, the 1st digit after the decimal point is 1, the 2nd is 2, and the 10th is 1. By following this pattern, we need to extract the d..
[C/C++] Project Euler #39 - Integer Right Triangles Project Euler #39 is a relatively easy problem with a difficulty rating of 5%. As the title suggests, it is about Pythagorean triangles. A Pythagorean triangle is a right triangle where all side lengths are integers. The fundamental relationship for such a triangle follows the well-known Pythagorean theorem: \[ a^2 + b^2 = c^2 \] If there exists an integer triplet (x, y, z) satisfying the equati..
[C/C++] Project Euler #38 - Pandigital Multiples In Project Euler Problem 38, the goal is to use the concepts of “pandigital numbers” and “multiplication” to find the largest number that satisfies specific conditions. A pandigital number is defined as a number in which each digit from 1 to 9 appears exactly once. For example, 192384576 is considered a pandigital number because it contains all digits from 1 to 9 without repetition. The problem ..
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