Problem 1472. nth Rational Number

Created by G K
Appears in Magic Numbers

Difficulty:Rate

Solve Later
Add To GroupÃ‚

Return the nth rational number.
This is the inverse to Problem 1471. Index of a Rational number
The first ten positive rational numbers under the enumeration using cantors diagonalization argument are 1/1, 2/1, 1/2, 3/1, 2/2, 1/3, 4/1, 3/2, 2/3, 1/4.
Find the index of a positive rational number enumerated in this manner, i.e. the 6th rational number is 1/3.
Problem 2) Prev: 1471 Next: 1477

Solve

Solution Stats

345 Solutions
161 Solvers

Last Solution submitted on Jan 18, 2025

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Massimo Zanetti on 7 Oct 2016

Is that possible to have a ranking of the solutions based on their performing time? I think that the could be a method that is fast even if more sized.

Massimo Zanetti on 10 Oct 2016

Solution

provides inexpensive method. There is only one 2nd order polynomial solution and one division.

Solution Comments

Show comments

Problem Recent Solvers161

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 1472. nth Rational Number

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers161

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Problem 1472. nth Rational Number

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers161

Suggested Problems

More from this Author10

Problem Tags

Community Treasure Hunt

Players