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Puzzles

No help from me! Or brother Neff! Or any professor! Other rando’s … sure. Other students … even bettar!

To get full “extra credit” you must fill out all four. Solutions and proofs are different. Solving a puzzle like the bomb puzzle in a previous lab is much different than proving it is impossible if we don’t know if the bomb is heavier or lighter with only 2 weights!

Puzzles

TEU

How many numbers between one and a million contain the digit 1 exactly once, and the sum of the rest of the digits is 16? Write elisp code with and without loops to verify your answer.

Rephrase

Looking at all numbers between 1 and a million, how many times does a number contain one 1 and have the rest of the numbers add up to 16. I will need to write elisp code with and without loops.

Approach

Solution

Proof

TME

Sequences can be non-numeric as well. What is the pattern for this sequence?

[m b w y me be wi yo met bew ith you meta bewi thyo uati metap bewit hyoua tirel]

How long can it continue?

Rephrase

Approach

Solution

Proof

WRA

Why is the sum of the reciprocals of the powers of two scaled by which power equal to two?

Rephrase

Approach

Solution

Proof