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Consider the set of all reduced fractions between 0 and 1 inclusive with denominators less than or equal to N.Here is the set when N = 5:0/1 1/5 1/4 1/3 2/5 1/2 3/5 2/3 3/4 4/5 1/1 Write a program that, given an integer N between 1 and 160 inclusive, prints the fractions in order of increasing magnitude.PROGRAM NAME: frac1INPUT FORMATOne line with a single integer N.SAMPLE INPUT (file frac1.in)5..

In a stroke of luck almost beyond imagination, Farmer John was sent a ticket to the Irish Sweepstakes (really a lottery) for his birthday. This ticket turned out to have only the winning number for the lottery! Farmer John won a fabulous castle in the Irish countryside.Bragging rights being what they are in Wisconsin, Farmer John wished to tell his cows all about the castle. He wanted to know ho..

A perfect number is a number for which the sum of its proper divisors is exactly equal to the number. For example, the sum of the proper divisors of 28 would be 1 + 2 + 4 + 7 + 14 = 28, which means that 28 is a perfect number.A number n is called deficient if the sum of its proper divisors is less than n and it is called abundant if this sum exceeds n.As 12 is the smallest abundant number, 1 + 2..

Using names.txt (right click and 'Save Link/Target As...'), a 46K text file containing over five-thousand first names, begin by sorting it into alphabetical order. Then working out the alphabetical value for each name, multiply this value by its alphabetical position in the list to obtain a name score.For example, when the list is sorted into alphabetical order, COLIN, which is worth 3 + 15 + 12..

Let d(n) be defined as the sum of proper divisors of n (numbers less than n which divide evenly into n). If d(a) = b and d(b) = a, where a ≠ b, then a and b are an amicable pair and each of a and b are called amicable numbers.For example, the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110; therefore d(220) = 284. The proper divisors of 284 are 1, 2, 4, 71 and 142; so d(284..

n! means n × (n − 1) × ... × 3 × 2 × 1For example, 10! = 10 × 9 × ... × 3 × 2 × 1 = 3628800, and the sum of the digits in the number 10! is 3 + 6 + 2 + 8 + 8 + 0 + 0 = 27.Find the sum of the digits in the number 100! 출처: https://projecteuler.net/problem=19 100! 의 각 자릿수를 더하는 문제입니다.매우 큰 수이기 때문에 일반적인 곱셈으로는 구할 수 없습니다. my solvingc++123456789101112131415161718192021222324252627282930313233343536373839..

You are given the following information, but you may prefer to do some research for yourself.1 Jan 1900 was a Monday.Thirty days has September, April, June and November. All the rest have thirty-one, Saving February alone, Which has twenty-eight, rain or shine. And on leap years, twenty-nine.A leap year occurs on any year evenly divisible by 4, but not on a century unless it is divisible by 400...

Butchering Farmer John's cows always yields the best prime rib. You can tell prime ribs by looking at the digits lovingly stamped across them, one by one, by FJ and the USDA. Farmer John ensures that a purchaser of his prime ribs gets really prime ribs because when sliced from the right, the numbers on the ribs continue to stay prime right down to the last rib, e.g.: 7 3 3 1 The set of ribs deno..

The number 151 is a prime palindrome because it is both a prime number and a palindrome (it is the same number when read forward as backward). Write a program that finds all prime palindromes in the range of two supplied numbers a and b (5

Consider the number triangle shown below. Write a program that calculates the highest sum of numbers that can be passed on a route that starts at the top and ends somewhere on the base. Each step can go either diagonally down to the left or diagonally down to the right. 7 3 8 8 1 0 2 7 4 4 4 5 2 6 5 In the sample above, the route from 7 to 3 to 8 to 7 to 5 produces the highest sum: 30.PROGRAM NA..