# Peter Cook

B.S. Ch.E. working in oil & gas tech development. Professional Interests: Fiber optics - distributed acoustic sensing (DAS) & distributed temperature sensing (DTS) and microseismic imaging for applications in fracture and reservoir monitoring.

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Acid and water

⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ ⚖ Assume that there is a 100 liter tank. It is initially fi...

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5th Time's a Charm

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Sums of Distinct Powers

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Digit concentration in Champernowne's constant

Consider the first 50 digits of Champernowne's constant 0.12345678910111213141516171819202122232425262728293... The...

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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. ...

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Cache me Outside

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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 ...

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Pair Primes

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Circumscribed Pentagon?

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Inscribed Pentagon? 2

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Parse me a Lisp

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Pandigital Multiples of 11 (based on Project Euler 491)

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Ned's Queens

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The sliding puzzle: 3D

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One track five lanes

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Five steps to enlightenment

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Birthday cake

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Group-wise Euclidean distance

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Five-dimensional maze

*Description* The traditional maze is 2-dimensional: the navigator can move in the positive or negative directions along two ...

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"Cody" * 5 == "CodyCodyCodyCodyCody"

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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...

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The 5th Root

Write a function to find the 5th root of a number. It sounds easy, but the typical functions are not allowed (see the test su...

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Recaman Sequence - III

I want to create a Recaman sequence where the nth number will be 1. So from which integer should I start the Recaman sequence? ...

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Basic electricity in a dry situation

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A Simple Tide Gauge with MATLAB

*∿ ∿ ∿ ∿ ∿ ∿ ∿ ∿* You are standing in a few inches of sea water on a beach. You a...

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Octoberfest festival

A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more...

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Predicting life and death of a memory-less light bulb

*💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 💡 &...

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Polarisation

You have n polarising filters stacked one on top of another, and you know each axis angle. How much light gets passed through th...

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The Glass Half Full

Identical glasses are placed in a triangular tower structure, such that the top level (L = 1) comprises one glass, the next leve...

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Breaking Out of the Matrix

Do you want to take the Red Pill, or the Blue Pill? If you take the Blue Pill, you will simply pass along to the next problem...

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