Problem 43649. 4 Digit Sequence Repetitions

  • Created by JD

Given a 4 digit integer, a sequence can be created such that the next digit in the sequence is the ones digit from the sum of the four immediately preceding digits.

For example, the first four terms of our infinite sequence of decimal digits are 2, 0, 0, 9. Thus our sequence begins:

2, 0, 0, 9, 1, 0, 0, 0, 1, 1, 2, 4, 8, 5, 9, 6, 8, 8, 1, 3, 0, 2, 6, 1, 9, 8, 4, 2, 3, 7, ...

Given a seed sequence and another 4 digit test pattern, determine the index for the test pattern following the seed sequence, if it exists. Return the index of the first occurrence of the test pattern. If the pattern does not appear, return 0.

For example, in the above sequence, [2 0 0 9] is the seed sequence and if [1 0 0 0] is the test sequence, it has index 5.

Taken from L-S Hahn's New Year's Puzzle for 2009

Solution Stats

88.46% Correct | 11.54% Incorrect
Last Solution submitted on Mar 07, 2023

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers21

Suggested Problems

More from this Author11

Community Treasure Hunt

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

Start Hunting!