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[pic] 1. Solve this cryptic equation, realizing of tier that values for M and E could be interchanged. No leading zeros be allowed. WWWDOT - GOOGLE = DOTCOM This mountain be cipher through systematic practise of logic. For example, cannot be equal to 0, since . That would fructify , but , which is not possible. here(predicate) is a slow brute-force regularity of ascendent that takes a a couple of(prenominal) minutes on a relatively fast machine: This gives the two ascendants 777589 - 188106 == 589483 777589 - 188103 == 589486 Here is another solution using Mathematicas Reduce bidding: A express (but close to more obscure) piece of encipher is the following: Faster closed in(p) up using the akin procession (and requiring ~300 MB of memory): thus far faster using the same approach (that does not come protrude leading zeros in the solution, but that can easily be weeded divulge at the end): Here is an case-by-case solution method that uses branch-and-prune techniques: And the succeeder for overall fastest: 2. indite a haiku describing possible methods for predicting search business seasonality. MathWorlds search engine seemed slowed this May. Undergrads prepping for finals. 3. 1 1 1 2 1 1 2 1 1 1 1 1 2 2 1 Whats the come line? 312211.

This is the encounter and pronounce sequence in which distributively term after the first describes the earlier term: unity 1 (11); two 1s (21); ane 2 and one(a) 1 (1211); one 1, one 2, and two 1s (111221); and so on. See the look and say sequence doorway on MathWorld for a eat up write-up and the algebraic form of a fascinating related sum of money known as Conways constant.4. You are in a maze of crooked little passages, all alike. thither is a dusty laptop here with a weak radio connection. There are dull, exanimate gnomes strolling around. What dost thou do? A) disclose aimlessly, bumping into obstacles until you are eaten by a grue. B) employ the laptop as a digging device to tunnel to the next level. C) Play MPoRPG until the flood fire dies along with your hopes. D) ingestion the computer to map the...If you want to support a salutary essay, order it on our website: Ordercustompaper.com

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