![]() Regardless of the specific algorithms your kids develop, the fact that they are developing algorithms is itself a mathematical experience. I have no idea what different methods and algorithms your kids might develop I only know the ones that I came up with as an adult. Over time, they might realize that this algorithm isn't quite sophisticated enough to win, and so they try to amend it to improve their score. They create a goal and a rudimentary algorithm, such as "always jump towards the middle of the puzzle." So if there is a way to keep the pegs closer to each other, perhaps they can improve their score. But as they play, your child may begin to notice patterns and change their decisions as a result.įor example, they might start to notice that at the end of the game, they usually have a few pegs stranded on the board, too far away to jump and remove each other. People who solve Rubik's Cubes in ten seconds use algorithms, but so to people who use long division to solve 524 ÷6. In either case, you are using a set of steps that can be generalized to solve all sorts of similar problems. Both versions of peg solitaire give kids a chance to develop, test, and improve algorithms for leaving one peg remaining.Īt first, kids will play the game more or less at random, hopping pegs wherever they see the opportunity. Simply put, an algorithm is a set of steps that one can use to solve a problem. Peg solitaire is a great way for kids to interact with algorithms. ![]() That's it!Īs with many of my favorite mathematical games, the rules are simple to explain, but the game itself is a challenge for kids and adults alike. Your goal is to jump these pegs over each other, one by one, until only a single peg is remaining. You may remove pegs by jumping pver them with another peg, as in checkers. each of the 2R circle positions is covered by at least one card that has no hole punched out there.In each game, the rules are the same. Your puzzle is to see if you can place all the cards in the box (each one either gray-side-up or white-side-up) so as to completely cover the bottom of the box, i.e. Each card contains 2R circles lined up in two columns and R rows, each of which may be punched out (so it is a hole) or not. Because of the asymmetric shapes of the cards, which exactly match the shape of the hole in the box, each card will fit in the box in only two possible ways (gray-side-up or white-side-up). Each card is blue on one side, white on the other. PEG SOLITAIRE SOLVER U SHAPE CODENote: From the Obfuscated C code contest. One of these numbers repeats itself once in the sequence. You are given a sequence S of numbers whose values range from 1 to n-1. (As always, there are both smart and stupid ways to do this. Write a little program that accepts as input a string, and outputs a boolean value telling whether or not the input is a palindrome. Note: "Constant memory" = the memory required for the solution cannot be a function of n. Using a constant amount of memory, find a loop in a singly-linked list in O(n) time. PEG SOLITAIRE SOLVER U SHAPE PLUSPlus or minus signs can be considered non-numeric characters. If pStr contains non-numeric characters, either return 0 (ok) or return the number derived so far (better) (e.g. Write the definition for the atoi (ASCII to integer) function without using any built-in functions. Now devise a way to find an element in the rotated array in O(log n) time. So for instance, 1 2 3 4 5 might become 3 4 5 1 2. But suppose I rotate the sorted array at some pivot unknown to you beforehand. Latest additions to cover site can be seen by clicking here.Īn element in a sorted array can be found in O(log n) time via binary search. ![]() ![]() RECENT ADDITIONS Check out latest puzzles by perusing the forum and the 10 most recent posts. Thousands of posts by really clever people. Want to test-drive a new riddle of your own? I don't know the solution to this problem myself. Needs math past arithmetic and basic probability. Page last modified Friday, 1 19:30:38 PST ![]()
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