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tongji university

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tongji university

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Prime factor digits
Consider the following number system. Calculate the prime factorization for each number n, then represent the prime factors in a...

mer än 2 år ago

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Find relatively common elements in matrix rows
You want to find all elements that exist in greater than 50% of the rows in the matrix. For example, given A = 1 2 3 5 ...

mer än 2 år ago

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Finding Perfect Squares
Given a vector of numbers, return true if one of the numbers is a square of one of the numbers. Otherwise return false. Example...

mer än 2 år ago

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Kaprekar Steps
6174 is the <http://en.wikipedia.org/wiki/6174_%28number%29 Kaprekar constant>. All natural numbers less than 10,000 (except som...

mer än 2 år ago

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Sums of Distinct Powers
You will be given three numbers: base, nstart, and nend. Write a MATLAB script that will compute the sum of a sequence of both ...

mer än 2 år ago

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Sunday bonus
Submit a solution on any Sunday and you will get 10 points. Only for MATLAB fans!

mer än 2 år ago

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Recaman Sequence - III
I want to create a Recaman sequence where there is a "1" in the n-th position. So from which integer should I start the Recaman ...

mer än 2 år ago

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Recaman Sequence - II
Take an arbitrary starting point as input and create Recaman Sequence. Then find the 1, return its index. For example: if n =...

mer än 2 år ago

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Recaman Sequence - I
Recaman Sequence (A005132 - <http://oeis.org/A005132 - OEIS Link>) is defined as follow; seq(0) = 0; for n > 0, seq(n) ...

mer än 2 år ago

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Pair Primes
Let's define pair primes as follow; * *For 2 digits numbers:* 11 and 17 are pair primes because both of them are 2 digits pri...

mer än 2 år ago

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Is this a valid Tic Tac Toe State?
For the game of <https://en.wikipedia.org/wiki/Tic-tac-toe Tic Tac Toe> we will be storing the state of the game in a matrix M. ...

nästan 3 år ago

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Pizza!
Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...

nästan 3 år ago

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Easy Sequences 30: Nearly Pythagorean Triangles
A Nearly Pythagorean Triangle (abbreviated as "NPT'), is an integer-sided triangle whose square of the longest side, which we wi...

nästan 3 år ago

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Hexagonal numbers on a spiral matrix
Put hexagonal numbers in a ( m x m ) spiral matrix and return the sum of its diagonal elements. Formula of hexagonal numbers ...

nästan 3 år ago

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Sophie Germain prime
In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

nästan 3 år ago

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Find the nearest prime
Given a positive integer 'n', the task is to find a prime number greater than or equal to 'n'. Example 1 If given 'n' is ...

nästan 3 år ago

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Find max prime number
Given integer number n. Find the max prime number (mpn) that smaller than or equal to n. Example: n = 10 --> mpn = 7

nästan 3 år ago

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Find out sum of prime number till given number
Find out sum of prime number till given number Example, if number is 10, then answer must be 17.

nästan 3 år ago

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Number of Even Elements in Fibonacci Sequence
Find how many even Fibonacci numbers are available in the first d numbers. Consider the following first 14 numbers 1 1 2...

nästan 3 år ago

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Return the Fibonacci Sequence
Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. ...

nästan 3 år ago

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Get a Fibonacci number's index.
*N.B.* For the purpose of this exercise, the first Fibonacci number is 1, and the second is 2; that is, |fib(1) = 1| and |fib(2)...

nästan 3 år ago

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Compute Fibonacci Number
Compute the _n_-th Fibonacci Number f(0) = 0, f(1) = 1, f(2) = 1, f(3) = 2, ... f(42) = 267914296

nästan 3 år ago

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Create the following sequence : 0 1 1 4 9 25 64 169 ...
The sequence 0, 1, 1, 4, 9, 25, 64, 169, ... represents the square of the sequence of Fibonacci numbers. Let n repres...

nästan 3 år ago

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Y=X
Given an input variable x, output a variable y that is equal in value to x. Example: Input x = 1 Output y is 1 Inp...

nästan 3 år ago