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The sum of the squares of the first ten natural numbers is,12 + 22 + ... + 102 = 385The square of the sum of the first ten natural numbers is,(1 + 2 + ... + 10)2 = 552 = 3025Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640.Find the difference between the sum of the squares of the first one hundred natural numbers ..

2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder.What is the smallest positive number that is evenly divisible by all of the numbers from 1 to 20? 출처: https://projecteuler.net/ 1 ~ 20 사이의 어떤 수로도 나누어 떨어지는 가장 작은 수를 구하는 문제입니다. 이는 1~20 까지의 최소공배수를 구하는 방법으로 풀 수 있습니다. 최소 공배수를 구하는 방법에는 여러 가지가 있는데, 소인수분해를 이용하는 방법을 사용했습니다. 방법은 각 수를 모두 소인수분해한 후 공통인 소..

The prime factors of 13195 are 5, 7, 13 and 29.What is the largest prime factor of the number 600851475143 ? 출처: https://projecteuler.net/ 600851475143의 소인수 중에서 가장 큰 수를 구하는 문제입니다.루트값 까지만 계산하는 방법으로 시간 복잡도를 줄여 풀었습니다. my solvingc++1234567891011121314151617181920212223242526272829303132333435#include #include using namespace std; typedef long long ll; vector getPrimeFactor(ll n) { vector ret; ll sqr..

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the even-valued terms. 출처: https://projecteuler.net/ 파보나치 수열 중 짝수이면서 4백만 이하인 모든 항을 더하는 문제입니다.쉬운 문제이지만 memoizatio..

The following cryptarithm is a multiplication problem that can be solved by substituting digits from a specified set of N digits into the positions marked with *. If the set of prime digits {2,3,5,7} is selected, the cryptarithm is called a PRIME CRYPTARITHM. * * * x * * ------- * * *

It was a dark and stormy night that ripped the roof and gates off the stalls that hold Farmer John's cows. Happily, many of the cows were on vacation, so the barn was not completely full.The cows spend the night in stalls that are arranged adjacent to each other in a long line. Some stalls have cows in them; some do not. All stalls are the same width.Farmer John must quickly erect new boards in ..

The Merry Milk Makers company buys milk from farmers, packages it into attractive 1- and 2-Unit bottles, and then sells that milk to grocery stores so we can each start our day with delicious cereal and milk.Since milk packaging is such a difficult business in which to make money, it is important to keep the costs as low as possible. Help Merry Milk Makers purchase the farmers' milk in the cheap..

A number that reads the same from right to left as when read from left to right is called a palindrome. The number 12321 is a palindrome; the number 77778 is not. Of course, palindromes have neither leading nor trailing zeroes, so 0220 is not a palindrome.The number 21 (base 10) is not palindrome in base 10, but the number 21 (base 10) is, in fact, a palindrome in base 2 (10101).Write a program ..

Palindromes are numbers that read the same forwards as backwards. The number 12321 is a typical palindrome.Given a number base B (2

Among the large Wisconsin cattle ranchers, it is customary to brand cows with serial numbers to please the Accounting Department. The cow hands don't appreciate the advantage of this filing system, though, and wish to call the members of their herd by a pleasing name rather than saying, "C'mon, #4734, get along."Help the poor cowhands out by writing a program that will translate the brand serial..