i ( , and Attention reader! {\displaystyle S(i)=n} This page is about the various possible words that rhymes or sounds like Keith number. [3] Known results seem to support this. k If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. Input 102 Output NOT SMITH Number. . {\displaystyle i\geq k}. How to check if a given number is Fibonacci number? number one: First; foremost; best. The special sequence has first n terms as digits of x and other terms are recursively evaluated as sum of previous n terms. {\displaystyle k} Given an n digit number : N=sum… log In recreational mathematics, a Keith number or ... As an example, consider the 3-digit number N = 125. Input 666 Output SMITH Number. , Let k is said to be a Keith number. 9 A n digit number x is called Keith number if it appears in a special sequence (defined below) generated using its digits. Sample data: Input 94 Output SMITH Number. If the next term becomes equal to x, then x is a Keith number. , and let. Take the number 47 as it is written in base 10, and start a Fibonacci-like sequence from its digits : 4, 7, 11, 18, 29, 47, … 42, on the other hand, isn’t a Keith number: 4, 2, 6, 8, 14, 22, 36, 58, etc. The sequence goes like this: 1, 2, 5, 8, 13, 24, 43, 7X, 125, 226, ... Because 125 appears in the sequence, 125 is seen to be indeed a Keith number. 0. They are computationally very challenging to find, with only about 100 known. The set of the Keith numbers has density zero. close, link {\displaystyle i} , Find the smallest number whose digits multiply to a given number n, Find n'th number in a number system with only 3 and 4, Build Lowest Number by Removing n digits from a given number, Count number of ways to divide a number in 4 parts, Querying maximum number of divisors that a number in a given range has, Check if a number is a power of another number, Find smallest number with given number of digits and sum of digits, Find the Largest number with given number of digits and sum of digits, Finding number of digits in n'th Fibonacci number, Smallest number by rearranging digits of a given number, Super Ugly Number (Number whose prime factors are in given set), Number with maximum number of prime factors, Convert a number m to n using minimum number of given operations, Find count of digits in a number that divide the number, Number of times the largest perfect square number can be subtracted from N, Find if a number is divisible by every number in a list, Round-off a number to a given number of significant digits, Program to calculate the number of odd days in given number of years, Get the kth smallest number using the digits of the given number, Number of times a number can be replaced by the sum of its digits until it only contains one digit, Find maximum number that can be formed using digits of a given number, Data Structures and Algorithms – Self Paced Course, Ad-Free Experience – GeeksforGeeks Premium, We use cookies to ensure you have the best browsing experience on our website. be a natural number, let What does keith-numbers mean? Use it for writing poetry, composing lyrics for your song or coming up with rap verses. The sequence goes like this: 1, 9, 7, 17, 33, 57, 107, 197, ... A Keith number is a positive integer N that appears as a term in a linear recurrence relation with initial terms based on its own decimal digits. Don’t stop learning now. Keith, History of the Scottish Bishops (Edinburgh, 1824); P. N. 1. = is part of the sequence. terms are the {\displaystyle n} Loop for generating next terms of sequence and adding the previous ‘n’ terms. k ( in a given number base It is a modification of the basic pip count designed to take into account elements of checker distribution. How to swap two numbers without using a temporary variable? If next term becomes more than x, then x is not a Keith Number. For example, the number 7385 is a Keith number because of the following sequence: 7, 3, 8, 5, 23, 39, 75, 142, 279, 535, 1031, 1987, 3832, 7385 Keith numbers are computationally hard to calculate; there are only about 100 known right now. Input 999 Output NOT SMITH Number . Programming Code: /** * The class Smith inputs a number and checks whether it is a Smith Number or not * @author : www.guideforschool.com * … b Modulo Operator (%) in C/C++ with Examples, Java.util.BitSet class methods in Java with Examples | Set 2, Find all divisors of a natural number | Set 1, Program to find sum of elements in a given array, Print all possible combinations of r elements in a given array of size n, Program to count digits in an integer (4 Different Methods), Window to Viewport Transformation in Computer Graphics with Implementation, Program to convert a given number to words, Write Interview
n {\displaystyle k} Don't request for help, don't ask questions or complain. 1 Writing code in comment? 0. of testaments and other matters (Keith, History of the Scottish Bishops, Edinburgh, 1824, p. 38). such that for brightness_4 In this case: 7+5=12 5+12=17 12+17=29 17+29=46 29+46=75. acknowledge that you have read and understood our, GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Write a program to print all permutations of a given string, Set in C++ Standard Template Library (STL), Program to find GCD or HCF of two numbers, Efficient program to print all prime factors of a given number, Find minimum number of coins that make a given value, Euclidean algorithms (Basic and Extended), The Knight's tour problem | Backtracking-1, Count all possible paths from top left to bottom right of a mXn matrix, Segment Tree | Set 1 (Sum of given range), Write a program to reverse digits of a number, Merge two sorted arrays with O(1) extra space. The special sequence has first x terms as digits of n and other terms are recursively evaluated as sum of previous x terms.The task is to find if a … , {\displaystyle \{31331,62662,93993\}} {\displaystyle S(7)=88} 88 Throughout this paper, we use the Vinogradov symbols ≫ and ≪ as well as the Landau symbols O and o with their usual meaning. Keith Count A formula devised by Tom Keith for making cube decisions in pure race games. {\displaystyle 0\leq i

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