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ICFP 2022 - RoboPaint Image Scoring
The ICFP2023 Challenge is Jul 7-10, registraion opens late June. Updates at TwitICFP2023. These contests are insanely complicate...

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Calculate the volume of the intersection of two balls
Consider two balls (solid spheres) in , with radius and respectively. Suppose that the distance between the centers of the two...

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Mantissa of IEEE Single
Output the mantissa bits as a uint32 of the IEEE representation of the single-typed 32-bit float input. Store these bits in the ...

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Sign of IEEE Single
Output the sign bit of the IEEE representation of the single-typed 32-bit float input as the uint8 "1" or the uint8 "0".

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Determine whether a number is prome
In discussing the unique factorization of numbers in Elementary Number Theory, Underwood Dudley devised a new number system: “C...

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Minimum number of crossings in a complete graph
This problem is related to problem 58384. A complete graph may be drawn in different ways, such that the number of line crossin...

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Minimum number of crossings in a complete bipartite graph
This problem is related to problem 58389. A complete bipartite graph may be drawn in different ways, such that the number of li...

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Classify water surface profiles
Problem statement Write a function to classify the water surface profile starting at depth in a channel with longitudinal slop...

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Draw '5' in Chinese.
Draw a x-by-x matrix '五' using 1s and 0s. Example: x=5 ans= [1 1 1 1 1 0 1 0 0 0 1 1 1 1 0 0 1 0 1 0 1 1 1 1 1] x=7...

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List numbers that cannot be expressed as the sum of fewer than four squares
Lagrange proved that all positive integers can be expressed as the sum of four squares. For example, 27 = 16 + 9 + 1 + 1. Howeve...

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Remove runs of at least n consecutive NaNs
This problem is inspired by Dyuman Joshi's problem 58329. Given a row vector x and a natural number n, remove all runs of at lea...

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Easy Sequences 113: Almost Golden Integer Rectangles 2
A golden rectangle is a rectangle whose side lengths are in the golden ratio, , where: . ...

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Easy Sequences 111: Repnums as Hypotenuse of Pythagorean Triangles
The number belongs to a class of numbers called Repunit Numbers, in which all digits are . For this problem, we'll define a s...

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Easy Sequences 106: Counting Pythagorean Triangles inside a Circle
Pythagorean Triangle is a right triangle all sides of which are represented by integers. Examples are triangles with sides and ...

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Easy Sequences 107: Minimized Circumcircle-Incircle Areas Ratio of Partial Pythagorean Triangles
We define a Partial Pythagorean Triangle (PPT) as a right triangle wherein the hypotenuse and at least one leg are integers. Thu...

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Decode a message encrypted with the square root of 2
Cody Problem 58299 asks you to encrypt a message by changing all letters to uppercase and randomly choosing a position of the AS...

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Encrypt a message with the square root of 2
Suppose you want to encrypt the word ‘TWIN’. The ASCII codes for the four letters are 84, 87, 73, and 78. If you consider the fr...

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Convert vector of strings to lower triangular matrix
Given a non-empty vector vec of strings, please put its elements into the lower triangular half of a square matrix M column-wise...

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Easy Sequences 116: Summation involving nthroot, floor, and ceiling functions
Given a postive integers and , we are asked to evaluate the following summation: ...

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Easy Sequences 115: Integral involving square root, floor, and round functions
Given a postive real number , we are asked to evaluate the following integral: ...

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Easy Sequences 114: Counting Unique Numbers
A Unique Number is defined as a positive integer with no repeated digits. This means that and are unique numbers, but and ar...

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Easy Sequences 112: Almost Golden Integer Rectangles 1
A golden rectangle is a rectangle whose side lengths are in the golden ratio, , where: . ...

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Find a number m such that 2m and the square of m have the same digit sum
The number has the property that and have the same digit sum. It is the seventh number, including zero, in the sequence of nu...

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Easy Sequences 110: Integration of the Sum of a Recursive Trigonometric Function
A trigonometric function, , is defined as follows: , in radians Applying recursively we define another funct...

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Easy Sequences 109: Summation of Derivatives of a Trigonometric Function
A trigonometric function, , is defined as follows: where: ; and ...

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Sequence Vectorization - II
This is the second part to the question - Sequence Vectorization - I Given an array of Natural numbers, N, return the sequence ...

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Sequence Vectorization - I
Given a Natural number N, return the sequence - [1 1 2 1 2 3 1 2 3 4 ... 1 2 3 ... N-3 N-2 N-1 N] i.e. the horizontal concatenat...

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Create an empty array
Suppose you need an empty array. e = [] will give you one, but it's a double array, which may not help if you need a differen...

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Compute flow in a partially full pipe
Problem statement When does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing f...

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Easy Sequences 108: Enclosing a Circle with Primitive Pythagorean Triangles
Pythagorean Triangle is a right triangle all sides of which are represented by integers. Examples are triangles with sides and ...

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