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Solution Sketches

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Statistics (Submission to Solve)

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Statistics (Fastest to Average)

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Problem A: Setting up a Football Team 113 correct solutions (best 5) For each student and each position, check the constraints and output accordingly!

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Problem B: Fractals

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Problem G: Electing SSC Chair

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Problem H: Mastermind 21 correct solutions (best 32) Code-maker chooses code: – N number in range [1, k] Code-breaker makes some guesses: – Similar to code – Code-maker gives a hint: Black points: correctly guessed slots White points: correct number is different slots

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Problem H: Mastermind

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Problem F: Auctions 16 correct solutions (best 121) k items to be sold m bidders n bids on items

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Problem F: Auctions

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Problem C: Cutting a Cake

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Problem E: Hubs 3 correct solutions (best 171) n vertices are divided into two groups Each group has a representative H1H2 A B

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Problem E: Hubs H1H2 A (n-1) xn-x x(n-x)

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Problem E: Hubs

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ABCDE H13261113 H21021517 H2-H170-5-64

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Problem D: Placing a disk inside a polygon 0 correct solutions! Part 1: check polygon convexity: Check outer product of every two consecutive vectors – All positive or all negative

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Problem D: Placing a disk inside a polygon Part 2: largest circle enclosed in convex polygon Binary search over r, radius of the circle – Check if a circle of radius r can be put inside the polygon

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Problem D: Placing a disk inside a polygon

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The end Prepared by Pouria Alimirzaei

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EXAMPLE 1 Rewrite a formula with two variables Solve the formula C = 2πr for r. Then find the radius of a circle with a circumference of 44 inches. SOLUTION.

EXAMPLE 1 Rewrite a formula with two variables Solve the formula C = 2πr for r. Then find the radius of a circle with a circumference of 44 inches. SOLUTION.

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