Problem 2291. GJam 2014 Qualifier: Deceitful War (Small)

Created by Richard Zapor

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This Challenge is derived from <a href = "http://code.google.com/codejam/contest/2974486/dashboard#s=p3">GJam 2014 Qualifier Deceitful War</a>.My condensed summary of the problem statement.Given two players, A and B, they are each given N masses. All masses are unique. Player A plays first on each comparison and states a Mass. Player B then plays a Mass. The player with the higher mass wins a point after they are compared on a scale. These masses then disappear. This repeats for all N masses. There are no constraints on the order of pieces played.Unsurprisingly when A truthfully states masses player B consistently wins.Player A, discouraged, decides to cheat. After the masses are provided player A asks B get A a drink and while B is away A looks at B's masses. Player A now plays pieces but does not necessarily honestly state the mass values. All scale comparisons must be valid based on B's strategy and A's stated mass. Player A now achieves more wins.Part one is determine the best possible score for A when playing deceitfully.Part two is determine the best possible score if player A did not look and is honest.Examples:<pre class="language-matlab">A: 0.5 0.1 0.9 B 0.6 0.4 0.3 Deceitful Wins 2, Optimal Honest 1
</pre><pre class="language-matlab">A 0.186 0.389 0.907 0.832 0.959 0.557 0.300 0.992 0.899
B 0.916 0.728 0.271 0.520 0.700 0.521 0.215 0.341 0.458
Deceitful A Wins 8
Optimal Honest A Wins 4
</pre>Input: A,B vectors of length N (Small has N&lt;=10, Large(future challenge N&lt;=1000)Output: Deceitful Wins, Optimal Honest WinsNote:In the contest period there were 30 Matlab solutions, of which I was not one as I glitched on the easy Deceitful algorithm thinking my Honest algorithm was in error. <a href = "http://www.go-hero.net/jam/14/solutions/0/4/MATLAB">GJam Deceitful Solutions</a>. My post contest full GJam is in the test suite. About 11000 out of 28000 entrants solved this puzzle.

This Challenge is derived from <http://code.google.com/codejam/contest/2974486/dashboard#s=p3 GJam 2014 Qualifier Deceitful War>.

My condensed summary of the problem statement.

Given two players, A and B, they are each given N masses. All masses are unique. Player A plays first on each comparison and states a Mass. Player B then plays a Mass. The player with the higher mass wins a point after they are compared on a scale. These masses then disappear. This repeats for all N masses. There are no constraints on the order of pieces played.

Unsurprisingly when A truthfully states masses player B consistently wins.

Player A, discouraged, decides to cheat. After the masses are provided player A asks B get A a drink and while B is away A looks at B's masses. Player A now plays pieces but does not necessarily honestly state the mass values. All scale comparisons must be valid based on B's strategy and A's stated mass. Player A now achieves more wins.

Part one is determine the best possible score for A when playing deceitfully.

Part two is determine the best possible score if player A did not look and is honest.

*Examples:*

A: 0.5 0.1 0.9  B 0.6 0.4 0.3  Deceitful Wins 2, Optimal Honest 1
  
  A 0.186 0.389 0.907 0.832 0.959 0.557 0.300 0.992 0.899
  B 0.916 0.728 0.271 0.520 0.700 0.521 0.215 0.341 0.458
  Deceitful A Wins 8
  Optimal Honest A Wins 4

*Input:* A,B vectors of length N (Small has N<=10, Large(future challenge N<=1000)

*Output:* Deceitful Wins, Optimal Honest Wins

*Note:*

In the contest period there were 30 Matlab solutions, of which I was not one as I glitched on the easy Deceitful algorithm thinking my Honest algorithm was in error. <http://www.go-hero.net/jam/14/solutions/0/4/MATLAB GJam Deceitful Solutions>. My post contest full GJam is in the test suite. About 11000 out of 28000 entrants solved this puzzle.

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Last Solution submitted on Jul 08, 2021

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Michael C. on 2 May 2014

I actually had one of the 30 matlab solutions you mentioned. Did you have much luck in round1A? Sadly, I did not.

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Problem 2291. GJam 2014 Qualifier: Deceitful War (Small)

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Problem 2291. GJam 2014 Qualifier: Deceitful War (Small)

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