Problem A common security method used for online banking is to ask the user for three random characters from a passcode. For example, if the passcode was 531278, they may ask for the 2nd, 3rd, and 5th characters; the expected reply would be: 317. The text file, keylog.txt, contains fifty successful login attempts. Given that …
Problem Some positive integers n have the property that the sum [ n + reverse(n) ] consists entirely of odd (decimal) digits. For instance, 36 + 63 = 99 and 409 + 904 = 1313. We will call such numbersreversible; so 36, 63, 409, and 904 are reversible. Leading zeroes are not allowed in either …
Problem The number 145 is well known for the property that the sum of the factorial of its digits is equal to 145: 1! + 4! + 5! = 1 + 24 + 120 = 145 Perhaps less well known is 169, in that it produces the longest chain of numbers that link back to …
Problem Peter has nine four-sided (pyramidal) dice, each with faces numbered 1, 2, 3, 4. Colin has six six-sided (cubic) dice, each with faces numbered 1, 2, 3, 4, 5, 6. Peter and Colin roll their dice and compare totals: the highest total wins. The result is a draw if the totals are equal. What …
Problem By counting carefully it can be seen that a rectangular grid measuring 3 by 2 contains eighteen rectangles: Although there exists no rectangular grid that contains exactly two million rectangles, find the area of the grid with the nearest solution. Solution This problem looks more difficult than it is, I’m not going to go …
Problem In the 5 by 5 matrix below, the minimal path sum from the top left to the bottom right, by only moving to the right and down, is indicated in bold red and is equal to 2427. Find the minimal path sum, in matrix.txt (right click and ‘Save Link/Target As…’), a 31K text file …
Problem Comparing two numbers written in index form like 211 and 37 is not difficult, as any calculator would confirm that 211 = 2048 < 37 = 2187. However, confirming that 632382518061 > 519432525806 would be much more difficult, as both numbers contain over three million digits. Using base_exp.txt (right click and ‘Save Link/Target As…’), …
One of the great thing about Nancy is that you can host it in pretty much everywhere, and that includes inside a console app! The documentations seems to be missing the self-hosting option however, but it’s easy and only takes a minute. First, create a console app and get the Nancy.Hosting.Self package from NuGet: Then …
Over the last couple of days I’ve been playing around with Nancy, one of a number of micro web frameworks now available for the .Net platform. You can read more about Nancy on their github readme page but in short it’s an ultra lightweight, easily extensible framework that lets you run a HTTP web server …
One of a new wave of buzzwords that have been made popular by the emerging breed of Ruby/Scala developers, low ceremony is usually used to describe web frameworks – if a framework is "low ceremony" then the amount of setup/configuration it requires is minimal and the central idea is that it will stay out of …
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