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Miscellaneous
100

18mod5

What is 3?

100

This is how you can tell a vertex-edge graph has an Euler's Circuit.

What is the degree of every vertex is even?

100

Refer to Diagram #1.  This is the winner in a runoff election. 

What is B?

100

This is what it is called when no player can gain by a change of strategy if the other player's strategy remains unchanged. 

What is a Nash Equilibrium?

100

This is the year Ms. Granlund and Ms. Kude both started teaching at Wayzata.

What is 2007?

200

4+7 on a 9-clock.

What is 2?

200

Refer to Diagram #4. This is the least amount of piping needed to connect all seven sprinklers.

What is 173 feet?

200

Refer to Diagram #1.  This is the winner if the Borda Count Method is used and the number of points the winner received.  (Use 3 points for 1st place, 2 points for 2nd place, 1 point for 3rd place.)

What is A and 41 points?

200

Refer to Diagram #2. Player 2 determines what Player 1 will do.  Player 2 does this based on that information.

What is "Go"?

200

The number 76 in base 10 is this in binary. 

What is 1001100?

300

Today is Wednesday.  This is the day of the week it will be in 24 days.

What is Saturday?

300

Refer to Diagram #5.  The 3 unique Hamilton Circuits starting at point A.  (A Hamilton Circuit must begin and end at the same vertex and hit every other vertex exactly once.)

What are ABCDA, ABDCA, and ADBCA?

(Reverse orders ADCBA, ACDBA, ACBDA)

300

Refer to Diagram #1.  This is the winner when directly comparing candidates A and B.

What is B?

300

This is the Nash Equilibrium in the Prisoner's Dilemma. 

What is both prisoner's should talk?

300

Refer to Diagram #6.  There are 23 teachers available to teach the classes.  This is how many teachers should be assigned to English 9 and English 10, respectively, when using the Hamilton method.   

What is 3, 4?

400

In the 9-clock system, this is the reciprocal of 5.  

What is 2?

400

Refer to Diagram #5.  This is the solution to the Traveling Salesperson problem.  

What is ABDCA, with a length of 120?

400

Refer to Diagram #1. This is the candidate who wins when using the sequential pairwise voting method in the following order B, A, C. 

What is C?

400

Refer to Diagram #3.  This is what Sam should do if Taylor jumps. 

What is stay center?

400

This is a value of y when x is 4 on the elliptic curve  

y^2=x^3+2x-3 mod 13. 

What is 2? OR What is 11?

500
In the 7-clock system, this is 5 divided by 2.

What is 6?

500

Refer to Diagram #4.  This is the minimum number of colors it takes if you color the vertices such that vertices sharing an edge are not the same color.  

What is 4?

500

Refer to Diagram #1.  This is why there is no Condorcet Winner.  

What is B beats A when directly compared, C beats B when directly compared, and A beats C when directly compared?

What is no candidate beats all other candidates when directly compared?

500

Refer to Diagram #3.  This is what both Sam and Taylor should do.  Begin by eliminating what Sam should not do.  

What is Sam goes right and Taylor stops?

500

This is the slope of the line connecting the points (3,2) and (7,4) on the elliptic curve 

y^2=x^3+2x-3 mod 13. 

What is 7?  

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