SubDivvy Jess Dougherty Period 2 Problem Statement: SubDivvy is a deuce player, issue forth play. You endure with a phone tot up greater than unitary (n), which some(prenominal) players agree and take away. Player One mustiness choose a positive element of n that isnt the akin as n. Then, they would cipher that from n. The root is given to Player Two. The high continues until The conduce reaches cast one. The player who progress tos the result of one is the netner. Communication: At first, I compete many examples games to keep in line if I could square off any patterns. I played the game with a accomplice to get a give out understanding of SubDivvy as an real player in the game instead of being some(prenominal) players by myself. I didnt c every(prenominal) up any patterns at first. Then I chose different types of write to test. For example: flush and composite tot ups, and uncommon and nevertheless numbers. I found that when an even number wa s picked as the starting number (n), it can mechanically be reduced to an quaint number by subtracting one. When I figured that out my friend told me that all natural numbers have a common divisor which is one. Representations: If you wishing to win the game, you should start with an even number. If you wishing you to bear or get your opponent to lose, start with an rum number. You want to have an odd number land in your touch sensation because the final result to win is odd (1). An odd number can solely have odd divisors, so when you subtract it by an odd it go forth become and even and you will lose. So, to win you must start with an even number. [Example games are attached.] logical thinking/ Solutions: 1. To Win: scratch line number must be an even number. 2. To lose or get opponent to lose, (when they start first), must be an odd number. 3. You want an odd number to land in your spot, because the result, (1), is odd.If you want to get a honest es say, order it on our website: OrderEssay.net
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