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Which permutation is it?
Let write some permutations of positive integers. 1: 1 2 3 4 5 6 ... 2: 2 1 3 4 ... 3: 1 3 2 4 ....

3 months ago

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Scrabble Scores - 10
This problem is very similar to the previous problem. Here, you are provided a letter of an existing word on the board from whic...

3 months ago

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A (wrong) place for everything, and everything in its (wrong) place
You have an equal number of cups and balls, each labelled from one to N. You randomly place one ball in each cup. Determine th...

3 months ago

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Sum the unitary divisors of a number
Cody Problems 1933 and 46898 deal with , the sum of divisors function. This problem deals with , the sum of unitary divisors fun...

3 months ago

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Numbered lottery balls into cells
You are running a lottery, and have a number of different balls numbered 1 to N. Your job is to figure out how many different w...

3 months ago

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Count the unitary divisors of a number
Cody Problem 56738 asks for a list of the unitary divisors of a number. For this problem, write a function to count the unitary ...

3 months ago

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Scrabble Scores - 8
This problem is part of a set of problems that successively develop a more sophisticated Scrabble scoring routine. The point dis...

3 months ago

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Count estrangements
Recently I made a puzzle for my wife that included a cryptogram, which involves an arrangement of the letters A through Z. I use...

3 months ago

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Get ranking of a combination
I have the numbers pulled without replacement from the set [1 2 3 4 5 6 7 8 9 10 11 12 13]; They are then ordered from least to ...

3 months ago

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Scrabble Scores - 4
This problem is part of a set of problems that successively develop a more sophisticated Scrabble scoring routine. The point dis...

3 months ago

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Usage of java.math : N Choose K with unlimited precision
Calculate the binomial coefficient nchoosek with full accuracy. This challenge may use the wonderful word of java.math that allo...

3 months ago

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NCHOOSEK - Time Optimization
Input V —— Set of all choices, a vector of N, 1 < N < 100 K —— Number of selected choices, a scalar, 0 <= K <= N Output C ——...

3 months ago

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Determine whether a number is practical
A number is practical if all smaller numbers can be written as a sum of the proper divisors of . The number 24 is practical bec...

3 months ago

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Create Combination
Motivation: In many problems, we need to create combinations with the function nchoosek. In some cases, however, choices are lim...

3 months ago

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Code breaker, Part II: Operation Orthos
You have been tasked with decoding several batches of coded messages that have been intercepted. Based on previous intellig...

3 months ago

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Next lexicographic - permutation
Find next lexicographic - permutation (permutations as it would occur in a dictionary order). E.g: nextP('ABCD') = ABDC If you...

3 months ago

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PACMAT 05 - Optimized Ghosts, PACMAT increasing speed, 12 Lives
The Classic PACMAN game brought to Cody. PACMAT requires clearing the Yellow Dots while avoiding the wandering ghosts in 12 l...

3 months ago

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Compute a determinant
Write a function to compute the determinant of an x matrix with diagonal entries equal to an integer and other entries equal ...

3 months ago

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PACMAT 04 - Optimized Ghosts, Equal Speed, 10 Lives
The Classic PACMAN game brought to Cody. PACMAT requires clearing at least 130 Yellow Dots while avoiding the wandering ghost...

3 months ago

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PACMAT - G03 Ghosts use minimum path to PACMAT; 3 Lives
The Classic PACMAN game brought to Cody. PACMAT requires clearing the board of Yellow Dots while not bumping into the wanderi...

3 months ago

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Dickson Polynomials
Return the coefficients of nth (n>=0) Dickson polynomial of the 1st kind as follows - 1st row of the output will be the coeffi...

3 months ago

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Find the longest runs of primes generated by polynomials
Cody Problems 60942, 60943, and 60944 involve polynomials that generate primes. No polynomial can generate only prime numbers, b...

3 months ago

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Code breaker, Part I: Operation Phoenix
You have been tasked with decoding a set of coded messages that have been intercepted. Based on previous intelligence that ...

3 months ago

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Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

3 months ago

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Shapiro Polynomials
Given an order n, return the coefficients of 1st Shapiro polynomials Pn(x) - %Example P1(x) = x + 1 => Output = [1 1]; P...

3 months ago

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Rooky Towers
You are wandering and as you realise something's off, you find yourself lost in a peculiar place - Over a giant field which is ...

3 months ago

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Padovan Polynomials
Hello there. I'm afraid I bear bad news - Anakin Skywalker is no longer a Jedi. But fear not young Padawan, we shall not falter...

3 months ago

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Stirling Numbers - I
Problems #1388 & #45187 deal with Stirling numbers of the 2nd Kind. Here, generate the Stirling numbers S(n,k) of the 1st kind ...

3 months ago

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Touchard Polynomial
Return the coefficients of nth (n>=0) Touchard polynomials - T1(x) = x; output = [1 0]; T2(x) = x^2 + x; output = [1 1 0]...

3 months ago

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Bernstein Basis Polynomials
Return the coefficients of a Bernstein Basis Polynomial B(v,n) for degree n and order v - %Examples B(2, 5) = 10*x^2*(1-x)...

3 months ago