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Problem Solving and Creativity John Paxton Computer Science Montana State University

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Problem Solving Steps Define the Problem Gather Information Develop Alternatives Weigh Alternatives, Select Best One Implement the Solution Monitor Progress Review and Learn From Experience

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Dao

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On a turn, a player should move one of his (her) pieces until it hits the edge of the board or another piece. A piece may be moved vertically, horizontally or diagonally.

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Winning at Dao Form a horizontal or vertical line with your four pieces Occupy all four corners with your pieces Form a 2 by 2 square with your pieces Have one of your pieces surrounded in a corner by three of your opponent’s pieces

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Game Playing my move your move 5 -3 0 -6 4

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Supply the Missing Words! 60 = M in an H Minutes, Hour

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Supply the missing words! 26 = L of the A 7 = W of the A W 1001 = A N 12 = S of the Z 54 = C in a D (with the J) 9 = P in the S S 88 = P K

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Supply the missing words! 13 = S on the A F 32 = D F at which W F 8 = S on a S S 200 = D for P G in M 3 = B M (S H T R) 90 = D in a R A

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Supply the missing words! 4 = Q in a G 24 = H in a D 1 = W on a U 5 = D in a Z C 57 = H V 11 = P on a F T 1000 = W that a P is W

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Supply the missing words! 29 = D in F in a L Y 64 = S on a C 40 = D and N of the G F 80 = D to G A the W 2 = N it T to T

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What is the common phrase? i 4 i beating beating bush beating D H beating E T A

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What is the common phrase? give get give get poFISHnd give get give get 13579 AZ ch poori

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What is the common phrase? uPLATm Pot 0 0 0 0 0 0 0 0 B B A A R R

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What is the common phrase? bad bad dribble knee light light

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What rule was used? 8 5 4 9 1 7 6 3 2 0

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How many total squares are there?

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Missionaries and Cannibals MMM CCC

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Stacks of Money Suppose you have 100 one dollar bills. Place the bills into some number of stacks such that you can make any amount of dollars from 1 to 100 by solely using complete stacks of money. Try to use as few stacks as possible!

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Water Jug 5 4 2

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10 8 4

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Water Jug 15 10 5

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Counterfeit Coins A counterfeit coin weighs 11 g. A genuine coin weighs 10 g. A stack of coins contains 10 coins. There are 9 stacks containing only genuine coins. There is 1 counterfeit stack containing only counterfeit coins.

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Counterfeit Coins What is the least number of weighings needed?

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Lightbulb Problem There are three lightbulbs in one room. There are three light switches in another room. The rooms are on different floors of a building. Can you determine how the switches and bulbs are connected using one trip?

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Why is a manhole cover round?

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It can’t fall in. It rolls. It won’t damage cars. It uses the least materials.

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Crossing the bridge at night Person 1 takes 1 minute. Person 2 takes 2 minutes. Person 3 takes 5 minutes. Person 4 takes 10 minutes. There is one flashlight. At most two people can cross at once. How fast can the four people cross?

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