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Hyperperfect Numbers
A k-hyperperfect number is a natural number n for which the equality n = 1 + k(σ(n) − n − 1) holds, where σ(n) is the divisor ...

12 hours 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 days ago

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List odd twin composites
Twin primes, or prime numbers that differ by 2 (e.g., 17 and 19, 59 and 61, or 191 and 193), are the subject of several Cody pro...

16 days ago

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Find the length of stream affected by a spill
When a contaminant is spilled into a stream, one might want to know how much of the stream is affected—e.g., the length over whi...

16 days ago

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Find the particular dividend
It is known that once you write the sequence 10101...101 long enough, the number will be finally divisible by any odd number if ...

17 days ago

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Count the ways to make Scorigami
Regarding the sport known as American football, some people are such rabid fans that they can tell you the statistics of every p...

17 days ago

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Solve an ODE: concentrations predicted by the cells-in-series model
One approach for predicting mixing and transport of contaminants in a river is the cells-in-series model. The model divides a ri...

18 days ago

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Local Extrema
Given a 2D (m,n>1) matrix, replace an element if it is not a local extrema (minima/maxima), with 0 (zero). The comparison crite...

18 days ago

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Spell musical triads
Chords form the basis of harmony in music. The most basic chords are triads, or groups of three notes. They are specified by thr...

24 days ago

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Leyland Primes
A Leyland Number is defined as a number of the form - x^y + y^x, or, x^y - y^x (x,y)>1 Given an array of numbers(>1), check...

24 days ago

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Compute the period of a pendulum started from a finite initial angle
Cody Problem 49830 asks for the period of a pendulum swinging through a small angle. Here the pendulum started at rest from an ...

24 days ago

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Weird Diagonal Matrix!!
Given an integer n, create a matrix whose diagonal elements will be square matrices of size 1 to n. For example: n=2 z = ...

24 days ago

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Solve an ODE: precocious pair’s porcine pursuit
In our previous encounters with Matilda and Labrun, the scintillating siblings collected candy wrappers, amused others with card...

1 month ago

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Define an arithmetic sequence
Given three numbers n, a, and d, define an arithmetic sequence of n terms with a being the initial term of the sequence and d be...

1 month ago

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Generate the Figure-Figure sequence
After discussing Scott Kim’s FIGURE-FIGURE Figure (below) in Gödel, Escher, Bach, Douglas Hofstadter introduced an integer seque...

1 month ago

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Determine whether the input is an anagram number
In Cody Problem 44293, Mehmet OZC asks us to spell numbers as words. For example, 67 would be “sixty-seven” and 76 would be “sev...

1 month ago

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That's not my hat!
There exists a highly secretive hat consortium. Members possess identical hats. The members are invited to a meeting. All of the...

1 month ago

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List the Euclid numbers
Euclid proved that the number of primes is infinite with the following argument. Suppose the primes form a finite set , , . Comp...

2 months ago

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Evaluate the Kelvin functions
The Kelvin functions ber, bei, ker, and kei are related to Bessel functions of order . When the order is not specified, the defa...

2 months ago

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prime consecutive sums
Create a number sequence of 1 to n, such that the sums of every two consecutive numbers are all primes. E.g. if n = 5, you may ...

2 months ago

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Fill a rectangle with 1x1 and 2x2 tiles
A 3x2 rectangle can be filled with 1x1 and 2x2 tiles in three ways: The colors merely distinguish the sizes of the tiles. A 3...

2 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 ...

2 months ago

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Get twenty-four
Inpur four integers in 1 to 10, you may use plus, minus, multiply and divid to get 24. Note that every integer should be used on...

2 months ago

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Palindrome Problem 1
Continued Problem 50033: A palindrome is one-thirteenth of the sum of and , where and are also palindrome. Give an example o...

2 months ago

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Concatenate input positive integers to obtain a maximum.
Input some integers, you need to concatenate them to obtain a maximum integer. Neither use library function "perms" to list all ...

2 months ago

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N-th Digit of all Write-Down Numbers
Write-Down Numbers are: 123456789101112131415161718192021222324252627282930... What is the N'th digit (where N is represented a...

3 months ago

Solved

n-th digit of write-down all numbers
Write down number as 123456789101112131415161718192021222324252627282930... what's the n-th digit? input n and get the digit.

3 months ago

Solved

Evaluate Poker Hand
Given an input table of card values and card suits between five and thirteen cards, choose the best five cards and output the ra...

3 months ago

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Determine Poker Hand Winner
Determine the poker hand winner from two hands of cards (each hand will contain the same number of cards between five and thirte...

3 months ago

Solved

Draw the symbol '+'
Draw '+' in an x-by-x matrix (where x is odd and x >3) Example: x = 5 y = [0 0 1 0 0 0 0 1 0 0 1 1 1 1 1 0 ...

3 months ago