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Flip the parity of digits in a decimal expansion
The number 349 has the decimal expansion . If we change the even digits from positive to negative, then the number becomes 269 (...

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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 ...

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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...

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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...

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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...

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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 ...

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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...

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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...

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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...

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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...

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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...

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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 ...

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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 = ...

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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...

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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...

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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...

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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...

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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...

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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...

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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...

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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 ...

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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...

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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 ...

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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...

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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...

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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 ...

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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...

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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.

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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...

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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...

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