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...
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...
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年以上 前
解決済み
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年以上 前
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List the partitions of an integer
Several Cody problems deal with partitions of an integer, or the ways an integer can be written as the sum of positive numbers—...
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...
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年以上 前
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Find an inscribed square on a closed curve
Here's an unproven conjecture from geometry: Every simple closed curve in a plane contains all four vertices of some square.
...
1年以上 前
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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年以上 前
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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 ...
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...
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...
2年弱 前
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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...
2年弱 前
解決済み
Build a block Toeplitz matrix
A symmetric block Toeplitz matrix has the form,
where the are compatibly-sized matrices.
Write a routi...