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Compute the area of a lune
Write a function to compute the area of the shaded moon-shaped region in the figure below—that is, the area of a smaller circle ...

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Maximizing Stock Profit
As a stock exchange broker focusing on a single transaction, your goal is to maximize profit by buying a stock at a low price an...

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Minimize a quadratic function
Write a function to minimize the function . The coefficients a, b, and c will be positive. Give the coefficients in a vector coe...

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Hofstadter H sequence
The Hofstadter G sequence is defined as follows: The first elements of the sequence are 0, 1, 1, 2, 3, 4, 4, 5, 5, 6. Write ...

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Hofstadter G sequence
The Hofstadter G sequence is defined as follows: The first elements of the sequence are 0, 1, 1, 2, 3, 3, 4, 4, 5, 6. Write ...

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Stern-Brocot Sequence
The Stern-Brocot diatomic sequence is defined as follows: The first elements of the sequence are 0, 1, 1, 2, 1, 3, 2, 3, 1, 4...

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Interval Compression
Given a set of integers, the task is to create a list of closed intervals where each interval includes its endpoints. For exampl...

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Final Stone Weight
You are given an array with weights of stones. The objective is to determine the weight of the final stone remaining after all c...

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Rotate matrix 60 degrees
Given a 2*m-1 by 4*m-3 matrix in which certain elements form a hexagon of side length m, rotate the hexagon 60 degrees countercl...

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Instructions Following
Complete the function follow(s) which, for a given string (containing only the letters 'f', 'b', 'l', 'r'), calculates the final...

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Find Next Strictly Greater Element
Given an array of numbers, create a new array where each element represents the next strictly greater element to the right of th...

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Find the number of diagonals in a n sided polygon.
Find the number of diagonals in a n sided polygon.

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Finding the Most Frequent Letter in a Text
You are given a text containing various English letters, digits and punctuation symbols. Your task is to find the most frequentl...

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Spreadsheet Column Number
Spreadsheet uses an alphabetic naming system for columns, starting with 'A', 'B', 'C', etc. The column names continue like 'AB',...

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Integer Persistence, Product
Let's construct a sequence as follows: is a given natural number, and is the product of the digits of . The persistence of i...

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Perfect shuffle
We call "perfect shuffle" the process of cutting a deck of cards into two equal halves, and then perfectly interleaving them: on...

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Find the triplet
Given an array x of size n > 3 and an integer N, return the indices of three elements in the array that sum up to the given inte...

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Battery Charge Indicator
Write a function called battery_charge that visually represents the charge of a battery. The function takes an integer paramete...

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Find the largest sum of any contiguous subarray
Given an array of N integers, find the contiguous subarray (which must contain at least one number) with the maximum sum and ret...

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Remove Unique Elements
Given a list of integers, we want to keep only the non-unique elements in this list. To do this, we need to remove all the uniqu...

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Compute the Ramanujan tau function for large numbers
The Ramanujan tau function is defined by the relation where . The first few values of are 1, -24, 252, -1472, and 4830. Wr...

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Compute the Ramanujan tau function
The Ramanujan tau function is defined by the relation where . The first few values of are 1, -24, 252, -1472, and 4830. W...

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Recursive triangle area
Given triangle 1 with sides of length a, b, and c. Triangle 2 is constructed within triangle 1 by bisecting each side. Triangl...

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List the segmented numbers
The sequence of segmented numbers begins 1, 2, 4, 5, 8, 10, 14, 15, 16. Notice that none of the terms is the sum of consecutive ...

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Calculate the Area of the Ring
You have Ring which consist of inner and outer Circles with Radius r and R which are not given but you'll be given Hprizontal ...

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List the ways to write 1/n as the sum of two unit fractions
Cody Problem 59841 involved counting the ways that can be written as the sum of two unit fractions (those with a numerator of 1...

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Palindrome Checker
Create a MATLAB function that checks whether a given string is a palindrome or not. A palindrome is a word, phrase, number, or o...

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finding vector pair with min angle between them
given a matrix with more than one row , compare row vectors of the given matrix and find the pair with the minumum angle between...

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Count the ways to write 1/n as the sum of two unit fractions
The number 1/2 can be written as 1/3+1/6 and 1/4+1/4, and the number 1/9 can be written as 1/18+1/18, 1/12+1/36, and 1/10+1/90. ...

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Complete a geometric sequence
In Cody Problem 59786 minnolina asks us to find the integer that completes a randomly sorted arithmetic sequence with one missin...

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