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Last Duplicate
Given an array of integers, find the last duplicate element — that is, the element whose second occurrence appears latest in the...

1 month ago

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Symmetric Pair
Given an (n, 2) matrix, remove any symmetric pairs from the matrix. Keep the first occurrence. (2, 3) and (3, 2) are considere...

1 month ago

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Pairs with Given Sum
Given an array of integers and a target sum, return all unique pairs whose sum is equal to the target. The output should be a ma...

1 month ago

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First Duplicate
Given an array of integers, return the first duplicate — i.e., the element that appears more than once and whose second appearan...

1 month ago

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'X'avier
Given a square matrix A of size n, write a function to create a new matrix B where only the elements on the main diagonal and th...

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Unique rows
A matrix is given as the input. Remove any duplicate rows from the matrix. keep the first occurrence.

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Identify points inside a Reuleaux triangle
Write a function to identify points that lie in or on a Realeaux triangle, which is a curve of constant width. The input to the ...

1 month ago

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Dominant Matrix - 02
It is a follow-up of the problem 55995. There, you found out whether a matrix is diagonally dominant or not. In this problem, y...

1 month ago

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Implement Shor's algorithm
Shor's algorithm, proposed in 1994 by Peter Shor, is an algorithm for factoring numbers that runs in polynomial time (polynomial...

1 month ago

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Sum of Even Fibonacci Numbers
Description: The Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n>2 Write a function that compu...

1 month ago

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Construct the number counts sequence
A sequence is constructed in the following way. The zeroth term is 1, and the next terms are determined by counting the number i...

1 month ago

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List the first of three consecutive square-free numbers
The numbers 13, 14, and 15 are consecutive, of course, but they also share the property of being square-free. That is, each numb...

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Count the primes resulting from changing one digit of a number
If you start with the number 24 and seek primes by changing a single digit, you can find two: 23 and 29. If you start with 130, ...

1 month ago

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Solve an easy binary puzzle
A binary puzzle presents a square grid (or matrix) of cells in which each cell must be 0 or 1. The finished puzzle must follow t...

1 month ago

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Indicate how the Prague astronomical clock strikes the hours
The astronomical clock in Prague has a bell that rings 1, 2, 3, or 4 times. The number of strokes follows the sequence 123432123...

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Convert integers from base 10 to proper primary notation
This problem is the companion to Cody Problem 60782. The proper primary system of expressing non-negative numbers has three digi...

1 month ago

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Convert integers from primary notation to base 10
The primary system of expressing numbers has three digits: m, x, and p, which correspond to -1, 0, and 1. The places in a primar...

1 month ago

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Express integers in negabinary
Negabinary numbers are written in base -2. For example, the negabinary number 11010 is , or 6 in base 10. In a similar way, -3 i...

1 month ago

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Play Hocus Focus
The card game Hocus Focus starts by placing twelve cards with wizards face up on a table. The characteristics of the wizards tha...

1 month ago

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Complete hydraulic geometry relations
Hydraulic geometry relations express the velocity , width , and depth of a river as a function of the discharge (or flow) , whi...

1 month ago

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Bit Stream conversion to Audio Frequency Shift Key using Bell 202 (Modem)
Convert a character binary bit-stream transmitted at a certain baud-rate into an audio stream using Audio Frequency Shift Key (A...

1 month ago

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Determine whether a number is a Ludic prime
Ludic numbers are formed by a sieve. Start with a list of the positive integers. Skip 1 and start with 2. Then delete every seco...

1 month ago

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Find the closest canyon prime
My wife and I celebrated our honeymoon and most recent anniversary in Yellowstone and Grand Teton National Parks. After returnin...

1 month ago

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Sum along each diagonal of a matrix
Write a routine that returns the sums along the diagonals of a given matrix, A, where the first diagonal is the bottom left corn...

1 month ago

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List composite numbers that do not contain their prime factors as substrings
The number 63 has the prime factorization 3, 3, and 7, and it contains one of them (3) as a substring. In contrast, the number 4...

1 month ago

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Build a block Toeplitz matrix
A symmetric block Toeplitz matrix has the form, where the are compatibly-sized matrices. Write a routi...

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Condition number of Kronecker product
Given NxN matrix A and MxM matrix B, where M,N<=1000, write a routine to compute the condition number of kron(A,B).

1 month ago

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TingTing
Output logical "true" if the input is the answer to luck and money$$$. Otherwise, output logical "false".

1 month ago

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Extract diagonal of sparse quadratic form
Consider the matrix A and vector v given by, A=round(sprand(5e3,1e4,1/1e4*100)*100); v=randi(10,width(A),1); Write a rout...

1 month ago

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List Ormiston prime pairs
The numbers 1913 and 1931 form the first Ormiston prime pair. The numbers are consecutive primes, and they are anagrams of each ...

1 month ago