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Path Search in a Pyramid Triangle

Tool to search path in a number pyramid. Path search in a pyramid triangle allows to find the shortest path or the longest path by traversing the graph (tree) from the root to its leaves or from the bottom to the top.

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Path Search in a Pyramid Triangle -

Tag(s) : Graph Theory,Mathematics

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Path Search in a Pyramid Triangle

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Path search in a Pyramid of Numbers



Shortest path

Longest path

Counting

Also on dCode: Pascal's Triangle

Tool to search path in a number pyramid. Path search in a pyramid triangle allows to find the shortest path or the longest path by traversing the graph (tree) from the root to its leaves or from the bottom to the top.

Answers to Questions

How to find the shortest path?

One has to traverse the pyramid (or the trianglehref) from top to bottom, adding values that gave a the smallest total respecting a single rule : one can only go to one of the two numbers immediately below.

How to find the longest path?

One has to traverse the pyramid from top to bottom, adding values that gave the highest total.

How to count possible paths?

Total number of path in a pyramid of height H is given by the formula : $$ 2^{H-1} $$

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Source code

dCode retains ownership of the source code of the script Path Search in a Pyramid Triangle. Except explicit open source licence (free / freeware), any algorithm, applet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any snippet or function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in PHP (or Java, C#, Python, Javascript, etc.) which dCode owns rights can be transferred after sales quote. So if you need to download the Path Search in a Pyramid Triangle script for offline use, for you, your company or association, see you on contact page !

Questions / Comments


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